This file is very large and has been truncated to display in your browser. Download it to view the whole file. The truncated version follows:
/Parallel/MPI/RANK=1
/Parallel/MPI/SIZE=10
/Function/TrancatedGauss=lambda meanX, stdX, minX = 0.: next(x for x in (meanX + random.randn() * stdX for _ in iter(int, 1)) if x > minX)
/Simulation/step=0.01
/Simulation/stop=1000
/Simulation/cvode=False
/Parallel/cores/desktop=4
/Parallel/cores/neadnode=8
/Parallel/cores/compute=32
/Parallel/cores/autodetect=False
/Parallel/cores/number=4
/ATotalCell=1400
/Populations/E/n=1120
/Populations/E/model="from ECellOlufsen import Py as NeuronE"
/Populations/E/modelname="NeuronE"
/Populations/E/init=None
/Populations/E/DB>>/vinit=False
/Populations/E/record/v="soma(0.5)._ref_v"
/Populations/E/record/ei="esyn._ref_i"
/Populations/E/record/eg="esyn._ref_g"
/Populations/E/record/ii="isyn._ref_i"
/Populations/E/record/ig="isyn._ref_g"
/Populations/I/n=280
/Populations/I/model="from HHinh import In as NeuronI"
/Populations/I/modelname="NeuronI"
/Populations/I/init=None
/Populations/I/record/v="soma(0.5)._ref_v"
/Populations/I/record/ei="esyn._ref_i"
/Populations/I/record/eg="esyn._ref_g"
/Populations/I/record/ii="isyn._ref_i"
/Populations/I/record/ig="isyn._ref_g"
/Populations/S/SperE=1
/Populations/S/n=1120
/Populations/S/DistMean=1
/Populations/S/spikesource=lambda i, tpre: tpre+random.exponential(scale=@/Populations/S/DistMean@)
/Populations/S/model="from SGen import Sg as NeuronS"
/Populations/S/modelname="NeuronS"
/Populations/S/init=[(0,49.894496031),(1,63.6957379728),(2,87.0974152757),(3,46.7550864169),(4,29.6111381041),(5,69.9235530366),(6,65.0338459546),(7,45.3937667157),(8,96.3115186558),(9,27.9107553209),(10,69.2267317263),(11,49.9644912387),(12,29.5668498878),(13,6.07749724682),(14,19.2395289399),(15,4.64226820903),(16,48.4056104361),(17,7.61245432393),(18,94.7846995194),(19,17.8412737362),(20,17.5182242808),(21,76.0874515414),(22,83.7794042134),(23,9.43447456514),(24,23.4081546809),(25,62.9878462531),(26,58.9630507998),(27,31.5570025821),(28,42.7478713695),(29,94.1688772875),(30,93.2143375151),(31,48.4992058855),(32,99.1962176935),(33,68.9054853228),(34,32.3657527499),(35,2.93789979558),(36,37.1612098106),(37,44.4873621026),(38,7.37016352251),(39,73.0460615532),(40,60.4418773524),(41,94.2895763136),(42,38.4091390205),(43,15.7097729456),(44,65.8278973168),(45,68.3142724867),(46,9.66019802293),(47,67.6949288476),(48,8.62301339663),(49,1.93530905622),(50,28.3716750273),(51,51.5569901217),(52,89.5717166465),(53,43.8073254272),(54,11.3000391615),(55,70.0627808008),(56,99.1203884775),(57,73.6601697129),(58,81.1031770472),(59,53.2040377818),(60,6.79973282355),(61,3.81935096928),(62,69.5946558722),(63,3.79490092192),(64,54.1931929087),(65,43.7469341169),(66,61.4767050552),(67,91.2270725),(68,80.2880691638),(69,54.7501334255),(70,41.2336877785),(71,25.4862755203),(72,6.3877043293),(73,47.2594381201),(74,44.9867353368),(75,74.5538277567),(76,27.3710155484),(77,56.4284533018),(78,90.5835745321),(79,31.9847053957),(80,61.3973979652),(81,55.2320462162),(82,72.3218979974),(83,29.8408609447),(84,11.055424696),(85,21.0628965245),(86,76.0154273002),(87,59.4078906591),(88,22.3155774713),(89,63.6789121287),(90,59.3408549263),(91,62.4953851955),(92,29.0226263915),(93,95.7891022911),(94,27.8780229869),(95,86.3536990872),(96,12.4627058034),(97,29.2521773311),(98,38.3221244013),(99,56.5667956766),(100,43.2806788222),(101,97.1418901802),(102,6.63949472584),(103,89.5410731868),(104,93.6681705687),(105,67.2521982762),(106,2.30052239893),(107,14.1639054901),(108,50.926376263),(109,38.4206860416),(110,69.0132603621),(111,24.2461280197),(112,57.4894615547),(113,82.7813154223),(114,84.3015103814),(115,20.9319624989),(116,9.99972993121),(117,10.4244671204),(118,39.1612469918),(119,79.0679955397),(120,28.6994101971),(121,29.7668318442),(122,71.2457837682),(123,21.5999620702),(124,69.1108604745),(125,45.2719055728),(126,98.9480833609),(127,55.8984071044),(128,75.9558410729),(129,83.1154618448),(130,96.6241947456),(131,49.242148064),(132,21.5425009528),(133,74.6338482614),(134,58.0551628724),(135,70.8627754522),(136,97.1081364149),(137,16.9252215712),(138,54.4110071019),(139,64.7799744904),(140,43.0327279215),(141,34.8374347488),(142,6.56650639063),(143,39.6818408262),(144,99.9644280066),(145,34.7847191319),(146,20.6705952969),(147,12.8386240223),(148,23.1073022646),(149,23.8742617491),(150,89.1543369664),(151,67.0021705503),(152,19.2405432281),(153,61.2995781709),(154,40.2277015282),(155,3.12765242445),(156,93.0226212576),(157,77.1858021373),(158,59.8720031453),(159,40.4774895771),(160,28.8518651938),(161,16.5890569057),(162,57.1454084246),(163,92.195594379),(164,80.6078770136),(165,83.3453097168),(166,77.9733458383),(167,39.0073839553),(168,21.5455248197),(169,24.0909911727),(170,86.7036696763),(171,2.95812813346),(172,14.7954324513),(173,55.484406924),(174,80.5423848207),(175,22.3136528424),(176,5.21868231163),(177,83.8545084615),(178,38.3906412377),(179,19.2942265141),(180,80.1374470786),(181,55.0102495112),(182,14.4141762372),(183,85.5429421181),(184,33.4260437141),(185,87.2300075223),(186,73.1635903628),(187,80.4707018145),(188,94.530469946),(189,6.40163222523),(190,85.9337169307),(191,75.8962892116),(192,32.7377308277),(193,19.2322802579),(194,14.2371739652),(195,7.25040193019),(196,95.7730958204),(197,73.3475969106),(198,78.5324309665),(199,16.5142441816),(200,72.2270670987),(201,33.6772956626),(202,28.6904610454),(203,94.9699535743),(204,59.2555991765),(205,69.2449024469),(206,60.6647644294),(207,75.4082847689),(208,69.6105659566),(209,66.1055593286),(210,95.9474901807),(211,16.3216665512),(212,93.2569670263),(213,97.6804584666),(214,18.3984522111),(215,44.5387932574),(216,67.2878691739),(217,96.5947205785),(218,93.2727169656),(219,95.5745963586),(220,2.71457298437),(221,39.9189192836),(222,91.8704051435),(223,42.0420865349),(224,49.0422148633),(225,48.2173226897),(226,90.9249389478),(227,80.7248725868),(228,23.0270463705),(229,17.5761471056),(230,30.7028802088),(231,92.5009443451),(232,33.5517405754),(233,58.2282532162),(234,80.0292283557),(235,68.8787186469),(236,9.23177948398),(237,81.0947913639),(238,68.1630121666),(239,80.4066936406),(240,67.074266533),(241,98.6189237992),(242,35.3494596728),(243,55.6206573613),(244,39.3202804591),(245,72.7076335105),(246,49.1105095911),(247,70.683195578),(248,57.1619083394),(249,83.0130573129),(250,13.8110927208),(251,3.37920958782),(252,75.9606978935),(253,64.3451190926),(254,17.462179876),(255,19.7342021272),(256,74.2251390635),(257,56.6349438848),(258,28.6920815522),(259,9.80313795834),(260,27.6359163367),(261,25.8954986061),(262,32.2215490015),(263,18.9244327704),(264,78.1561065749),(265,24.2360555824),(266,17.9566408794),(267,77.39028489),(268,22.6781480018),(269,61.9111929626),(270,77.8188318333),(271,23.5887541461),(272,56.0484255987),(273,73.1326723973),(274,42.0418890556),(275,88.5213886652),(276,23.8196815292),(277,21.3121347304),(278,23.8296603188),(279,42.5022606798),(280,81.6540132897),(281,17.9022303458),(282,82.69064866),(283,62.5104707698),(284,28.7479588763),(285,43.1931550096),(286,10.0049824493),(287,99.4685731984),(288,20.0590833645),(289,26.8919890217),(290,41.0513249095),(291,10.5423485958),(292,17.0247679276),(293,75.016956317),(294,9.26901811925),(295,63.9864190409),(296,39.6723974497),(297,46.7812289012),(298,49.8562450325),(299,22.9802430819),(300,73.02877931),(301,33.6281413009),(302,58.1555689257),(303,10.0198939756),(304,60.2581469957),(305,66.3497829271),(306,17.8564274834),(307,92.0913167909),(308,59.7898817295),(309,35.4706694988),(310,78.6922767405),(311,24.3868902073),(312,1.04953492688),(313,80.839669238),(314,74.1994075119),(315,99.3774700269),(316,38.2915725534),(317,2.27689057105),(318,8.70083175352),(319,34.1070313856),(320,97.2669225355),(321,51.4987926973),(322,98.3989578504),(323,67.055849811),(324,15.4151383154),(325,81.8785458219),(326,63.9242513368),(327,42.1415242379),(328,37.6711894462),(329,76.516083589),(330,40.0980027722),(331,75.3204581803),(332,33.7091781883),(333,41.4891572609),(334,13.380857891),(335,93.7426986179),(336,64.9026690648),(337,67.102688618),(338,46.6453470475),(339,13.4230924698),(340,9.52837360088),(341,36.8050262325),(342,19.5952903415),(343,27.2654147595),(344,13.8663553023),(345,27.2177360557),(346,81.5896867273),(347,34.3821901495),(348,64.6522117767),(349,67.8974451968),(350,3.58794829953),(351,44.7744293263),(352,80.1686915648),(353,99.4874712342),(354,97.849358439),(355,19.8510201885),(356,3.50283927084),(357,71.8777505901),(358,52.5679064426),(359,79.3311717131),(360,94.2539522763),(361,46.2703955191),(362,78.2045032915),(363,53.3380420145),(364,52.3922646437),(365,22.2972310951),(366,86.0695943839),(367,16.9844016481),(368,76.9452749769),(369,88.0708729108),(370,90.4556304065),(371,44.5413319159),(372,72.4495579659),(373,97.7341642924),(374,80.8053816776),(375,62.1351399104),(376,3.30347846374),(377,33.8901421749),(378,95.6784168898),(379,72.2644742271),(380,11.953724606),(381,52.2647064335),(382,71.2177203462),(383,76.5504323382),(384,2.07713418605),(385,19.2797512496),(386,91.4854300112),(387,2.66188875946),(388,50.4050623481),(389,73.6922083245),(390,0.19411595971),(391,63.5029245563),(392,91.5721926698),(393,66.6441669249),(394,76.943989878),(395,30.7449318884),(396,11.6045470281),(397,33.5811809469),(398,15.0016319681),(399,48.2149099336),(400,13.5613399144),(401,7.00601559041),(402,31.0725117432),(403,52.2805561799),(404,24.2194881622),(405,68.5216507584),(406,16.8632116543),(407,62.4234166485),(408,99.1781404883),(409,46.2909034336),(410,44.0262911507),(411,65.1606242537),(412,7.7317835969),(413,71.6250011523),(414,49.8343675564),(415,44.0272895558),(416,22.4388424936),(417,0.812269857031),(418,78.9051554643),(419,71.6596715937),(420,93.2544272883),(421,28.5784734152),(422,58.1237131773),(423,0.336577257399),(424,18.3098721574),(425,2.24607170474),(426,37.0298151238),(427,38.1204194091),(428,0.335655442615),(429,71.7715706958),(430,17.7714108484),(431,76.7637055759),(432,79.411231891),(433,54.6562130708),(434,54.836391722),(435,65.4700715687),(436,2.79372179985),(437,78.2989521483),(438,20.9316276383),(439,22.3415507921),(440,72.2612443104),(441,62.7074911833),(442,84.3856134041),(443,86.1854281274),(444,44.9801132727),(445,50.0529070934),(446,35.8175438474),(447,23.7134885213),(448,8.5176904382),(449,32.8690175333),(450,47.4948042957),(451,66.211808558),(452,16.9287448348),(453,70.1322389875),(454,4.62313898553),(455,92.6387048161),(456,83.4413089132),(457,31.1038381958),(458,89.5295721814),(459,7.97047013187),(460,38.9239434757),(461,45.6356773377),(462,86.2394310119),(463,90.7954402386),(464,87.1472116358),(465,92.9891358088),(466,24.5002063683),(467,81.7331711567),(468,9.25051999499),(469,55.9884507673),(470,83.1764134717),(471,14.8475942311),(472,0.838323270839),(473,69.7666831039),(474,90.9485044188),(475,29.2077681235),(476,87.339798508),(477,47.1146030378),(478,49.4479162674),(479,80.4691339916),(480,59.2247230809),(481,66.1704699565),(482,78.7702231679),(483,95.7017355215),(484,73.8735165639),(485,38.8057023708),(486,38.9115253276),(487,22.4407564785),(488,61.9895963605),(489,4.47759111839),(490,60.8637709935),(491,27.1388944112),(492,51.8089085466),(493,5.68992157834),(494,60.6575651299),(495,91.1684473918),(496,78.8358821086),(497,29.0096647629),(498,5.31909534448),(499,90.4271667715),(500,30.8619715298),(501,25.0045350051),(502,77.6398055354),(503,41.1814305753),(504,60.8024339537),(505,19.111203225),(506,79.255002923),(507,20.2657663019),(508,67.481583582),(509,85.9452267733),(510,5.97825262901),(511,47.4677935698),(512,62.5275981773),(513,30.8655649076),(514,83.1525603097),(515,7.24151881637),(516,2.07905676075),(517,8.97346813049),(518,87.2259546542),(519,11.1533366628),(520,62.0174001123),(521,80.2002434759),(522,65.3414571121),(523,43.5851048796),(524,39.5937652238),(525,65.4892359126),(526,25.4420254124),(527,49.119459941),(528,0.0371954396555),(529,91.9300919057),(530,33.3467648893),(531,29.7194618232),(532,52.5541894458),(533,83.7061608657),(534,3.42610544769),(535,13.4244012838),(536,47.6748715675),(537,30.562546784),(538,31.1275561884),(539,14.6233237729),(540,98.5644742513),(541,3.02051744668),(542,91.0413771761),(543,58.2545672366),(544,20.3165224156),(545,87.1696689127),(546,89.6452163921),(547,9.62086765784),(548,81.1525794306),(549,54.822250028),(550,8.90121188196),(551,22.7772194615),(552,52.1583859986),(553,5.64170681255),(554,41.7152583172),(555,83.7001171813),(556,36.6167597446),(557,63.692475794),(558,16.3634887231),(559,51.090469369),(560,42.5832831318),(561,65.2737579467),(562,49.3393150967),(563,28.3641944543),(564,67.0164998035),(565,25.9124554126),(566,60.9398128715),(567,15.5055622602),(568,11.8896029496),(569,24.2044298628),(570,51.2214608327),(571,59.9923651491),(572,39.7384842281),(573,38.5931660214),(574,22.8682139455),(575,48.0646885661),(576,18.0105997338),(577,24.979946399),(578,67.5600880558),(579,59.7062530954),(580,75.3370535662),(581,25.8738434894),(582,42.626937245),(583,27.2200238122),(584,84.692099942),(585,16.315720037),(586,13.0139912721),(587,12.0505679856),(588,97.1317922471),(589,43.1627196424),(590,58.0342474785),(591,95.7841109605),(592,57.6190421405),(593,96.0838768174),(594,92.1862288901),(595,21.9209817528),(596,62.2965153828),(597,79.45417045),(598,59.4873085539),(599,79.101098057),(600,11.008938462),(601,51.932141689),(602,74.6578977728),(603,67.7296845154),(604,95.0057130009),(605,38.6158359482),(606,13.2492170508),(607,71.892048816),(608,96.9513310083),(609,68.3825911145),(610,75.5152839174),(611,56.1294893996),(612,16.6926954161),(613,77.793434814),(614,48.0932068974),(615,72.5513059424),(616,83.1000866292),(617,82.7562219171),(618,13.1863612509),(619,69.9475898756),(620,1.66429820177),(621,25.1613828807),(622,16.0440830829),(623,42.4809198052),(624,48.4740260636),(625,26.1900419547),(626,56.9835320056),(627,15.2242821509),(628,42.3927224977),(629,59.1891869556),(630,79.3385658513),(631,97.410798837),(632,47.7104258561),(633,52.0528537011),(634,38.341265619),(635,10.4514327672),(636,22.9417149639),(637,8.26056615335),(638,60.679470266),(639,61.9853017392),(640,38.5588789605),(641,86.5353106375),(642,96.046888952),(643,66.2293828012),(644,32.2122950536),(645,9.50403151176),(646,60.8055158077),(647,71.2765784744),(648,26.1266123158),(649,16.048856006),(650,17.5862646807),(651,74.3281649979),(652,34.2010925794),(653,80.6123498276),(654,72.0502964005),(655,20.0204917131),(656,2.70797252363),(657,16.8706923598),(658,56.4564866684),(659,6.42759830558),(660,59.8068176102),(661,97.8561895956),(662,52.9001786448),(663,26.9763781332),(664,45.4420024743),(665,27.3162553425),(666,32.4061829727),(667,39.7898945062),(668,10.6182299445),(669,34.9803312817),(670,89.3178168442),(671,69.4847794696),(672,84.7488034754),(673,77.5493464978),(674,7.62042309655),(675,2.18697284004),(676,49.5765125365),(677,0.652720226773),(678,76.4221981397),(679,64.7860852569),(680,42.6861605612),(681,71.740119658),(682,27.7277723064),(683,99.6659705933),(684,13.6030273499),(685,84.1811228438),(686,30.0217217459),(687,56.6586069601),(688,63.0559511841),(689,60.4012613474),(690,40.4443770129),(691,33.2553994368),(692,59.7287222308),(693,94.5563225866),(694,72.0308102325),(695,43.1402925881),(696,0.238948319713),(697,79.8093782136),(698,71.7572058048),(699,73.5746502804),(700,84.3910011014),(701,27.5705226094),(702,44.9673901588),(703,33.8110263883),(704,44.3469026127),(705,6.3408308878),(706,16.2111051666),(707,53.7777673367),(708,60.2909650029),(709,72.5751449984),(710,88.1712094328),(711,82.9063785833),(712,62.0853259745),(713,84.8828837464),(714,81.8459128555),(715,10.8760477715),(716,19.6090084573),(717,48.5538662959),(718,65.1682741602),(719,13.4421697407),(720,54.1796660825),(721,89.365737532),(722,32.908234146),(723,49.5141208327),(724,84.4514315218),(725,33.9991214674),(726,58.905736286),(727,35.7364223456),(728,44.9676435019),(729,59.7430670732),(730,71.3452585473),(731,24.0784048636),(732,86.735605514),(733,24.9860443616),(734,51.4973628145),(735,18.8726309484),(736,80.4373194076),(737,45.830921386),(738,56.6535457114),(739,4.26737511982),(740,31.7325159357),(741,71.4006448556),(742,11.999978943),(743,3.12473677282),(744,11.9283772961),(745,36.6046171709),(746,92.0672502963),(747,69.0527648405),(748,31.8171520454),(749,3.82831985063),(750,69.2073515911),(751,81.4809782865),(752,23.875051353),(753,23.5105232908),(754,24.0862000213),(755,57.0393869761),(756,1.30461780407),(757,7.59312002613),(758,35.498070398),(759,15.1365634507),(760,84.0815802954),(761,85.8078034458),(762,49.8963143884),(763,68.8189994),(764,0.442026936276),(765,2.33133774055),(766,81.3840680853),(767,83.7673495664),(768,18.1835169962),(769,72.0371548787),(770,58.3261139978),(771,22.5601860945),(772,97.1554402697),(773,96.8286616216),(774,3.34983411629),(775,62.4827844718),(776,43.0003602879),(777,22.6094907617),(778,39.0040011682),(779,97.4194102444),(780,94.3529905203),(781,24.5662575534),(782,27.4357632638),(783,69.6450231373),(784,2.48582121669),(785,6.42323835001),(786,7.70808986391),(787,69.1822717768),(788,88.1717860084),(789,34.3904651459),(790,98.9370263913),(791,56.690838335),(792,58.366942285),(793,22.1227928318),(794,74.42113278),(795,34.8426048668),(796,32.9193771618),(797,28.6129376657),(798,16.1723228362),(799,0.328089816443),(800,5.50045751893),(801,76.6673181723),(802,18.694788901),(803,16.6829086035),(804,65.1032325134),(805,72.4337367303),(806,51.4164556084),(807,80.6834989675),(808,96.5753125742),(809,98.4108688739),(810,39.4255872266),(811,30.5509823123),(812,47.2285437429),(813,25.7738929837),(814,19.0071000971),(815,30.4902104509),(816,68.604512087),(817,19.7990262981),(818,85.4186158451),(819,89.4021925795),(820,61.3106012487),(821,85.4910206935),(822,61.0525916217),(823,5.1500622071),(824,97.0804959449),(825,51.2652562481),(826,44.9465075523),(827,74.4767988588),(828,58.8118080879),(829,56.1860343626),(830,10.5709205253),(831,45.9604612973),(832,73.0298957242),(833,51.644077047),(834,93.3365344335),(835,31.8729634598),(836,20.7659816683),(837,23.4342972129),(838,84.3092550562),(839,28.0560348375),(840,15.1169685632),(841,83.3765981399),(842,66.8694317626),(843,29.2141283426),(844,87.6465101633),(845,43.3812446781),(846,74.2090829754),(847,14.436173711),(848,45.4447826062),(849,4.2190988982),(850,76.503007634),(851,93.3265872606),(852,66.2635567761),(853,25.559693923),(854,48.3866469937),(855,67.2559087694),(856,22.398791412),(857,8.46521616311),(858,6.71438877769),(859,55.6258164848),(860,48.5338436715),(861,86.1830587842),(862,79.3657296042),(863,96.3708818294),(864,97.3834238521),(865,54.3750914385),(866,10.1733387647),(867,69.2034347667),(868,51.4837754369),(869,94.9548667986),(870,62.8435972206),(871,33.7834056086),(872,31.810872624),(873,98.9212865998),(874,63.1655783787),(875,75.0100856683),(876,26.9989839674),(877,98.8168887038),(878,78.6056352278),(879,63.8450000995),(880,22.4509918363),(881,56.7872876483),(882,49.592718928),(883,83.6915248287),(884,59.150531289),(885,89.0792094928),(886,76.8098085712),(887,0.599371132966),(888,73.5635046175),(889,74.0363111467),(890,88.2526889039),(891,20.6136143006),(892,73.6576690653),(893,0.417670897094),(894,17.4224452483),(895,93.6714997162),(896,72.0593634774),(897,0.138260838398),(898,60.6499600336),(899,45.2987701656),(900,68.4324499663),(901,3.91287558211),(902,58.8049954618),(903,62.0803000031),(904,65.5595815277),(905,39.5723398827),(906,81.6628714098),(907,60.0276766396),(908,43.5126649066),(909,73.160547021),(910,69.6383086436),(911,24.3905186829),(912,57.7278617611),(913,63.2720374797),(914,17.4648280419),(915,91.504391519),(916,77.8630099773),(917,90.954546762),(918,78.914127564),(919,44.9219489074),(920,77.8337376424),(921,78.0959540903),(922,40.2765413695),(923,22.4064812794),(924,94.0786452864),(925,23.1983700152),(926,8.07675197411),(927,97.7249946161),(928,84.4602220845),(929,56.5954426164),(930,22.3652742205),(931,76.6809779928),(932,89.6311950271),(933,81.3833035552),(934,48.9031361383),(935,62.2049712617),(936,20.4878556851),(937,8.89904829124),(938,96.5356407465),(939,77.3786423222),(940,12.9310330557),(941,8.46810537863),(942,11.1223583363),(943,87.2381295523),(944,32.4017920595),(945,74.9399178201),(946,71.8618539955),(947,48.1681937355),(948,42.3167915226),(949,78.0979490669),(950,67.7140526368),(951,52.5326403892),(952,55.8013399053),(953,37.4163374102),(954,94.5953858378),(955,87.5251459039),(956,58.4272670214),(957,6.43001800657),(958,31.5494861331),(959,78.4098943401),(960,18.8847716565),(961,63.889099416),(962,62.5569344252),(963,43.6263495786),(964,97.8074150906),(965,85.3196094082),(966,12.6949347513),(967,25.2478382477),(968,15.1573261482),(969,1.13558414929),(970,14.6483566039),(971,28.0027619788),(972,94.7232636755),(973,81.2266705945),(974,26.7976002592),(975,23.5968674046),(976,63.0474825818),(977,51.4073835349),(978,71.5833860459),(979,72.6028911311),(980,40.9090279352),(981,66.1826788152),(982,95.4629067083),(983,51.1746944439),(984,79.9773907964),(985,81.2887666047),(986,67.9293277474),(987,7.5968828389),(988,81.087794477),(989,10.8203814299),(990,8.57001097861),(991,75.9826494366),(992,23.3658662657),(993,48.8696415188),(994,2.50783057864),(995,40.7551894948),(996,66.546257073),(997,62.627626482),(998,9.93337845731),(999,89.8948451244),(1000,65.240696497),(1001,62.2758194382),(1002,15.511116702),(1003,67.9686399485),(1004,51.2663248911),(1005,70.9594858202),(1006,42.0993591136),(1007,12.4345563644),(1008,62.3490435093),(1009,52.842388978),(1010,97.3980184547),(1011,47.5323125303),(1012,61.6502267502),(1013,32.1153176195),(1014,44.3522748184),(1015,9.45561092284),(1016,47.882985841),(1017,7.50987378801),(1018,27.0677879707),(1019,57.1838760119),(1020,86.3348302577),(1021,88.7838914659),(1022,10.8415828827),(1023,22.240672263),(1024,41.9343946815),(1025,46.8755716709),(1026,28.0622570524),(1027,10.8410568487),(1028,83.3492051197),(1029,63.3684232407),(1030,42.5661507105),(1031,36.0980913596),(1032,62.3918541372),(1033,56.4324652385),(1034,10.583022982),(1035,13.5714064549),(1036,31.082431868),(1037,12.7807307129),(1038,87.6712758374),(1039,98.8737803086),(1040,69.0201982617),(1041,9.61715834392),(1042,1.38456998106),(1043,41.2582467699),(1044,10.3842478612),(1045,43.6274607048),(1046,79.5462727997),(1047,94.7100718751),(1048,29.9674860225),(1049,2.23415965018),(1050,21.9116663308),(1051,67.0555409416),(1052,81.5572768882),(1053,45.8583982782),(1054,16.2213776776),(1055,79.7337983193),(1056,78.9486193146),(1057,96.6306361715),(1058,90.1833995619),(1059,98.2768492692),(1060,97.5723228173),(1061,8.29478940368),(1062,16.1536585635),(1063,18.7110447043),(1064,65.2701635076),(1065,23.6034002431),(1066,64.4403841164),(1067,10.2307126304),(1068,77.1374277203),(1069,19.1301388811),(1070,61.2286724718),(1071,52.3525431464),(1072,56.775636858),(1073,42.8848985485),(1074,79.2837647906),(1075,14.8504805654),(1076,98.0415706035),(1077,88.5185104092),(1078,28.2612542355),(1079,92.3396305773),(1080,99.6946863431),(1081,9.36384714675),(1082,33.6721255621),(1083,34.5815019793),(1084,9.30665424512),(1085,1.4483107381),(1086,21.9575925714),(1087,50.9490265373),(1088,23.0256000071),(1089,88.5349954673),(1090,73.789841207),(1091,71.1684134753),(1092,24.591462477),(1093,83.2006272031),(1094,0.86351969508),(1095,38.048963323),(1096,58.0316379396),(1097,18.7161788483),(1098,87.2123966125),(1099,51.7588314967),(1100,72.2329718261),(1101,69.7890629856),(1102,30.6895773699),(1103,10.9962374059),(1104,57.5114714628),(1105,35.6357236124),(1106,72.6446339055),(1107,10.9120925765),(1108,96.2279089929),(1109,68.5244687671),(1110,72.5684004025),(1111,66.4505240023),(1112,81.0805160766),(1113,0.785213847063),(1114,70.1893886439),(1115,47.2025425651),(1116,99.2810186882),(1117,51.5761725594),(1118,79.7853674532),(1119,0.260214895995)]
/Populations/S/activate=[array([13.748962887458138, 16.107665011558925, 16.440472595303078, 16.552207918422802, 17.200068479587898, 17.276320945639405, 17.436590987904879, 17.632144076632684, 21.166694051481603, 21.333617323811087, 24.775099267831198, 25.534967360301099, 27.423549783590239, 28.439407926450027, 30.409359019398661, 32.814816111891389, 34.295945032525708, 36.684689952575894, 37.46829280003675, 38.016577862264597, 39.599037045800927, 41.540177469211564, 43.469770571473006, 43.609634065742441, 46.320304502865085, 46.649797242017939, 47.303219121287221, 48.106745560205809, 48.764066687505185, 50.104222683136761, 53.021701883298469, 53.930270660453218, 56.967210075716849, 59.033671908980189, 59.599174076176936, 65.447062695290768, 67.305440823530006, 67.3850539833184, 69.090813032436131, 69.699442441996212, 69.780278495352832, 70.45893621230762, 73.077399457496469, 73.184391632542727, 73.587944420880106, 73.630250170262244, 74.097010041316665, 75.636088162142343, 77.197828821687878, 78.176155948389848, 81.047808387785551, 81.364745705355602, 81.408026282739826, 81.829814303386456, 83.11315943794844, 84.082108938408325, 84.558704621215597, 85.377712779772907, 86.281728610432083, 87.247271582204874, 89.450883275875427, 90.621793534150328, 90.81321385503152, 91.120794789358555, 91.822518815873849, 92.047924739612014, 92.363909126072627, 93.462770125419311, 94.157626706847566, 94.532658919194773, 94.590922471483367, 94.831368845327475, 94.94915551898201, 96.82264720889637, 97.135887036144354, 98.879157500698085, 99.950632912628464, 102.02097242170562, 102.11855548446096, 102.9283299359091, 103.85703960051535, 104.19544084078655, 104.79022330215386, 107.07181920583594, 107.92643603462027, 108.93980289356827, 109.70373564576749, 109.78149594493473, 110.18005245216284, 110.27920862650551, 110.66220755992789, 112.32167292910162, 113.29357760561139, 114.15458192343259, 115.32748976984297, 115.56936513356278, 116.85504752885339, 117.34979205438837, 118.12163147533076, 118.77527438584953, 119.40420796575569, 120.74103549617381, 121.15417167807104, 121.61142397938853, 122.5674332821218, 122.58934005964875, 123.18194969124322, 124.2843582491416, 124.93373834921978, 127.73984990206964, 128.06591466117254, 129.4062406310174, 129.49850590281815, 129.53703317493424, 130.39960226756429, 133.06728873545629, 133.18387268183696, 133.49693836274469, 133.85102305660214, 133.96854019129609, 135.06477917396472, 135.83377710386748, 138.10268983357932, 139.52450994215897, 140.09958102210493, 142.71271890126516, 147.59537026686363, 152.13831983121332, 152.31695681338061, 155.58701782050483, 156.30722560295555, 156.48759914321437, 158.20536113970849, 158.57936942944517, 158.80944996610893, 160.62261187192138, 161.1441094230847, 161.93161388116155, 163.69817830678602, 164.11333744406141, 164.39415790884951, 168.5302090187013, 170.30578731955217, 172.11761134937626, 172.6130297377635, 174.00588223069096, 174.13255573404481, 175.01930145580053, 178.57127681074181, 178.93574149454903, 179.40767747979348, 180.01872149456557, 181.44305260409195, 184.82545839971144, 186.74223508832668, 187.80732597676467, 190.20191260647977, 190.26899380046004, 191.00164185907676, 191.18631671049235, 191.56902060340838, 195.66503269940875, 195.82459549420682, 196.62922301510412, 198.26193352264559, 200.52092264351381, 200.66042947396429, 201.99888166831437, 202.0308440209925, 202.43620114941311, 203.57237564182972, 203.6131077547787, 204.36485214130192, 208.49611718704162, 208.89490391796269, 209.03087249357566, 210.78359252863828, 211.25913242126114, 215.62658037886314, 215.97274606994989, 217.28558650013957, 217.45786828153041, 217.99542319390761, 218.72947060560591, 219.47449439777915, 220.00552144739328, 220.20496644546023, 222.11351143475017, 223.02165807757555, 226.02784599408943, 226.50889930834211, 226.79913943500708, 228.87365721540368, 229.8020827191034, 232.09743756170735, 234.15872243807374, 234.65434393248819, 234.726122455981, 235.64106662201581, 235.69165134287468, 235.87115115933403, 237.02528196160179, 238.37421550840133, 239.43795156389203, 239.57851709976023, 244.26390256619987, 247.07285804134131, 247.1132670452927, 247.28664921214053, 247.42900046930637, 248.31235375729668, 248.83526120936801, 251.81619529265834, 253.13589496356855, 257.65300866893233, 259.13152567910197, 259.8817776175693, 262.09812985260135, 263.08897859237163, 264.37929196756255, 264.52715446969813, 265.69010407637006, 266.73393322687173, 266.80459934272159, 266.85261482524271, 267.71385995475754, 268.42577943666168, 268.5501509431266, 270.44615019009552, 273.99429888289802, 275.32383025883729, 275.45149828516008, 275.78605291866108, 276.2751024303883, 276.3060526601792, 276.39735090053489, 277.1425768830681, 278.48473182535611, 279.42636136727424, 280.56868388229776, 280.75997260086933, 281.06470430600223, 281.39247155217555, 282.08339646973542, 282.79711710298864, 283.54824789403824, 283.91434571854973, 287.32619492739644, 288.9049383569652, 289.27353479081614, 290.96097456943062, 291.27073338939385, 291.7030082985317, 292.9982697956159, 293.05566465061918, 293.52241149060205, 293.73063401695936, 294.28204469253347, 295.41094872595897, 295.93627754022941, 298.44937678331212, 298.54098185616829, 298.59461994668612, 299.25972324629214, 299.74335886899667, 300.72061639044739, 300.8814766425067, 301.20896227835078, 301.48367039216527, 302.53502147955555, 304.94276535818113, 304.97965683483335, 305.0904464675163, 305.66820290320919, 307.1201866230187, 307.99640243424864, 308.45033411831542, 308.62027192721371, 308.76857251833133, 308.90163210268958, 309.21549480346715, 309.60774811034509, 309.86156645463848, 310.53490632815448, 310.93300702123855, 311.27952643900511, 311.81916097792805, 315.82535039051385, 318.18170224411335, 320.4293262184666, 321.55678677449282, 321.64365584462649, 322.77686750579136, 324.86351408680179, 325.22632164346288, 325.24732805162824, 326.26075388578494, 327.01869113716532, 327.41769217183952, 327.44716830367338, 329.25956774837971, 331.84226896376208, 332.44558907335755, 333.72296244917618, 338.58200196263738, 339.4980408878784, 339.59898220875971, 339.78238338900849, 341.82553367636797, 342.91048261049906, 343.1284080113324, 343.66760803719046, 344.73517241425412, 344.80793440351493, 345.45019778058946, 347.08380565774428, 347.85934489004785, 349.33220773028643, 349.78896650759174, 350.83489937875913, 351.40351349743634, 352.28210382299454, 353.49192972607318, 355.4859005794882, 356.45590181019679, 356.63171116345626, 357.21140745661063, 357.84907635444785, 357.88771545333708, 360.72453985115993, 361.60686073675754, 361.81893864099658, 362.69391066588037, 364.35810059820761, 366.1812620047109, 366.21728665858529, 367.97324201986953, 368.00263490583035, 368.35851871732683, 368.67863073710464, 368.89918452944067, 371.45739037415535, 372.06346592663402, 372.10354516911281, 374.61482410010922, 377.20502982509208, 377.37423592300672, 378.52434518910098, 379.52957721250931, 380.15874042608618, 380.567693852986, 383.28937329892887, 387.81762000063287, 388.064498638462, 389.31542885389996, 389.34676568337409, 392.0729241687506, 392.80622437170837, 393.76114000574211, 395.44273941677437, 397.91951474926645, 398.87480061901857, 399.68765115054038, 404.08290891865965, 404.28996750924182, 404.61797418911942, 404.91144018724646, 405.55280369156469, 405.82852673407075, 408.41909771916795, 409.63718985313773, 410.69000643867952, 411.86985186168943, 412.09532092497392, 412.41627309695173, 412.5049867780134, 415.14851355590912, 416.26245652880476, 417.0290686199362, 417.91143679622866, 419.31823547543024, 420.41101210825406, 422.44113117689096, 423.47587154942715, 424.80254858764306, 424.83741223995492, 425.1597733465062, 425.94358144705961, 427.18393151323528, 428.57962343514419, 429.68612266517766, 429.88332651861202, 431.28984560609445, 431.51943203292939, 431.74916581057801, 431.83895484191629, 431.95037836215596, 433.46118384499471, 436.82624455513519, 437.13058604674092, 437.45632001554895, 437.53180222935845, 441.60419431527271, 446.94049984501368, 447.63497388123824, 448.04724631760365, 448.28390660355655, 448.57258364241642, 449.03778053375675, 449.14820759129469, 449.49198893760337, 449.55532464155874, 451.12384689080949, 451.28654332097227, 451.84346932367123, 451.94826889407346, 452.65631687068191, 453.29059688219684, 453.4808306953675, 455.32548428880693, 456.38321745249425, 456.40421693569402, 456.97914717484451, 457.22325958237724, 458.17080371397202, 460.05349637447608, 460.27153057035014, 461.28708213803344, 462.23322169106916, 463.00333082331611, 463.7419945731757, 464.53512657159018, 466.04297923976333, 467.3855241149484, 467.68004322333127, 468.10485260108499, 471.34816058956358, 472.1453407599555, 472.68821550844808, 473.03541139416353, 473.38742428316186, 474.25729123151814, 474.9646425082525, 477.5273126350553, 478.90365443957927, 478.9811444244533, 480.21363092633629, 480.48409791870569, 480.62544840740782, 481.21434496046845, 481.26516981771653, 481.39736325622351, 484.49793762478077, 484.58572701636575, 484.69009390562974, 487.06539961880617, 487.61311581944335, 487.69541151438312, 488.54512394357181, 488.95486245353118, 489.49971823884641, 492.33093492659867, 492.4259495198861, 495.02087127022088, 495.83318481014709, 496.85368510223253, 497.65935072030311, 498.5193939544273, 498.78664188375785, 499.05138434197687, 499.57229142774872, 499.63744229008836, 500.31826099414025, 502.28168087802629, 503.81220508230308, 504.13989664522785, 505.13932446490418, 506.27972934351146, 506.38251842477683, 507.38067127907692, 507.70017294712397, 507.73652613679008, 508.41076626774736, 508.65666619613091, 510.63309803051561, 510.71046710229416, 510.74523661667172, 511.08110971518585, 512.40195774008725, 512.91466271808508, 514.19516872232225, 514.91602655619999, 515.57070848714943, 516.17861303635971, 516.31024693610334, 516.6728468139396, 519.37018644133491, 521.02360813484836, 527.21366400977388, 527.67716844108168, 528.4781464533969, 530.57209739856455, 530.96152398479558, 532.51053738525081, 532.79617209718879, 533.19943062132063, 533.63558520973947, 534.06942492434268, 534.75328929916213, 535.23418055849493, 535.25605840388107, 536.88463843680995, 538.86548080600824, 539.64060026612697, 540.60194440437976, 540.75070114324069, 542.2420905779378, 542.45588206582363, 542.48539075845781, 542.96652388033419, 544.14731068761171, 545.68845669002314, 546.24869195592646, 549.54743326029006, 550.66433796961451, 550.78205505349308, 553.08146679015147, 553.5573445964842, 553.64054054530607, 553.72250583521054, 553.97518779599557, 555.50156987528487, 555.95089703058341, 556.21041474290985, 559.01355772260729, 561.12064769720814, 561.28150389237283, 561.5578842514991, 561.68723840568543, 561.9417198944459, 563.89367318372763, 563.9299250073957, 566.89696315790661, 567.69862652848474, 568.39894976790799, 568.55232522635936, 568.7172264032256, 570.50656134049643, 571.73932375380093, 574.28593712961037, 575.58912799267512, 577.23883884140923, 577.31395354238907, 577.36203241080443, 578.74977085581259, 581.45120110263224, 581.68629661434568, 583.10735570840541, 583.17117943091182, 583.60302923656525, 583.71409441710546, 584.61711026582782, 586.39773555474733, 587.1031809019039, 589.05438715825403, 589.16721759332415, 590.17828272637621, 592.25179792242136, 592.73787293734415, 593.60130043764286, 594.29172575540952, 594.91575468743201, 595.1316500903871, 595.2464426527365, 595.35900820074369, 595.67816243565824, 595.90966091543487, 599.03862880878262, 599.18001362901168, 599.31088572311023, 599.55349988181786, 599.91594809158312, 601.98875030541581, 603.25294214573159, 607.6820488950151, 607.86218048920512, 609.07758916934517, 609.1825919973503, 609.61382866717838, 612.43155404507229, 613.1250691539077, 616.07120478639797, 617.92126884326933, 618.72120501303107, 621.37206809507416, 622.22772849318801, 624.8814701804082, 625.44880511708664, 625.80126248675981, 626.22002497502581, 627.38074054837227, 627.42695607820338, 627.63658612500524, 627.97067364994405, 628.82916332653667, 632.49614192257968, 633.79668301015818, 634.32483546213189, 635.18324393224179, 635.41228750398614, 635.58489827072617, 635.79613891391955, 638.06429040950502, 639.36839338833317, 640.08453656421204, 641.14243861545981, 641.48574716319683, 642.09595834853349, 642.44020139847487, 643.59335445114596, 644.80328057127133, 645.81193387572102, 647.14541575565454, 647.64117894565516, 648.28435195590566, 648.53338083854396, 650.95854685230722, 651.25736822638055, 651.50655495531964, 653.03137495179044, 653.34810805804159, 653.55135796887657, 653.62592868298145, 654.02645256550136, 654.74270843115778, 656.63686412281049, 661.05480018659637, 661.47198913152806, 662.82980611739094, 663.29118333014799, 663.34033027859311, 663.80229985479957, 665.07176638181591, 665.6103789204077, 666.76221492402192, 669.10781707604292, 670.86555403775037, 672.46528329996443, 675.08791432774683, 675.64686940140848, 675.76437907638001, 676.31333160432359, 678.22104060883544, 679.67351458922451, 681.33832927440722, 682.93298676284678, 683.90875441683795, 687.4334530401859, 688.91620937188623, 691.18311729033587, 691.32223524212532, 691.36491989977571, 691.98201729909533, 694.03588964816879, 694.16119395455962, 695.00737439775367, 695.48241156684549, 696.20731018017841, 696.77949545351316, 697.4708930089397, 697.58437428519403, 698.50682373227255, 699.47651625335982, 699.49657135435814, 699.57070698872406, 700.45644791459756, 701.43562415499264, 701.88101634466727, 705.11522903042021, 706.24452205908324, 707.03730269504103, 710.88007295842056, 710.92040868372305, 711.9760577398381, 712.35204516255305, 715.51456606870045, 716.93541658353718, 719.24993727895128, 719.61436395109877, 720.69962693026673, 724.45280386314994, 724.67135013364589, 728.65824101687667, 729.54635086151927, 730.83606843762857, 733.47088285261293, 735.34199412518353, 737.05973028650101, 737.47470386178043, 738.01419431253112, 738.89862693129555, 739.83771416889113, 740.12428738916833, 740.62106867248497, 745.1712143404751, 746.79084548796288, 748.87908847524534, 750.18057324394761, 752.1544374602239, 752.49378351343171, 753.38447006079366, 753.58166206159842, 754.73777190565886, 755.12887896326322, 755.2496568915841, 755.52082688229643, 756.16103572493364, 756.88797067142218, 757.23539992674034, 757.85579217533166, 759.63168345576651, 760.15185941160064, 761.1819344378323, 762.72407375304601, 764.85666010833745, 765.17858358121134, 765.21625003690383, 767.02134956541931, 768.15217049331238, 768.82902351075609, 769.43526404984675, 771.72487036003395, 773.0418979602016, 774.69771925930183, 775.04344580194777, 776.28708395160186, 777.6463646075199, 779.93138049986044, 782.26553046993683, 782.86508776106791, 783.4987056236215, 784.04993299154228, 785.44414816034794, 785.58629756177481, 786.4890675517197, 787.36777066690684, 787.66983706542203, 788.96155875246211, 789.0642072513549, 789.95773949538216, 791.51858400031006, 792.72452997525932, 792.74850696659223, 793.52907109395107, 793.95480412878294, 795.34881060660257, 796.12137644790118, 796.54077213641472, 797.43552600245789, 798.05547167737575, 798.22986257314562, 798.33757263192149, 800.33728052130482, 800.87775030889827, 801.36517538253065, 802.61325531268733, 803.31285741870681, 808.98963816376227, 809.13144030316334, 809.3603896566741, 810.59325223309997, 812.37607732727895, 812.71207660563846, 813.20175222756677, 814.2869646126544, 814.57178869760025, 815.21693652634883, 815.34991840959844, 816.72999250717248, 818.24590157148566, 818.56687517810644, 821.21207281586658, 822.100801769398, 822.83188522194473, 825.50797624452184, 827.65815116024055, 832.4356802881166, 833.68817128955845, 835.02575522331881, 837.59608199919501, 838.44728551643618, 838.80155091441964, 839.2493107791172, 840.30849807549441, 840.34940782905505, 840.9409883496628, 841.00022908322933, 843.64690049890157, 844.10097630411258, 844.21298232030028, 845.02639466407288, 845.45890455228925, 846.81038276898335, 847.00216016135164, 847.28315320936474, 848.68460239175022, 848.97534593827436, 849.27235677954161, 850.49677871489052, 850.70811026866613, 851.31053712821267, 856.03320736248384, 857.23034094052116, 857.26292827731061, 857.51758694014882, 857.91003298350051, 859.09893968485142, 860.4437124280264, 861.48856237655752, 861.54421709146675, 861.84958799201775, 862.1281007591009, 864.19880852603433, 864.55378870032496, 866.63872993091979, 867.70157556977506, 867.76328122729535, 868.30851815768563, 868.67549807358023, 869.82211420635861, 870.23454467356964, 870.75744882006677, 872.21048351239767, 873.59350788305392, 874.86341768390355, 879.22428469910585, 879.99155283780658, 881.33549085605296, 882.22633939788329, 882.67869003250905, 884.34670479736792, 884.63873979688594, 885.26328127128374, 885.33094763979602, 886.32702468782566, 887.26000798072118, 888.56644754981608, 891.88502558387574, 891.94657368699916, 892.76197107372468, 894.20023165663235, 895.08814303428574, 895.24161854756312, 896.08217889301363, 896.70260204469002, 896.93886434126114, 897.06446754437707, 897.89659272336155, 898.25858333779411, 898.94532139477769, 900.52758194535852, 900.68693125814946, 900.74228223906789, 901.65541848134364, 902.25590001563671, 903.52433792646502, 904.37139647460106, 904.48730981051369, 905.01846203561877, 905.60928055918134, 906.17405887121163, 906.41853616809226, 907.57493479303514, 910.04062454111306, 910.37484793687861, 910.85003308586818, 911.75441852215818, 912.50915454800395, 914.078028545282, 915.32650147587549, 916.81099604856877, 919.90303510005322, 920.72935065662921, 924.78739017664816, 925.01014260480952, 925.37430123893557, 926.2394009846156, 928.51690049476179, 928.91392576613066, 929.13597768369027, 929.20864348397652, 929.57920956616624, 929.83250029811597, 930.14453377802988, 930.51509140134419, 933.39326452726527, 934.10569900645294, 936.87155665066541, 937.66962229524529, 938.02605971194112, 938.64609202807173, 939.12147217676977, 939.92367114170031, 940.43496715051344, 940.69467484801453, 941.86244160915169, 943.42012333929108, 943.77615810643795, 944.6505637537997, 944.72691751694674, 945.13383631171894, 946.05706972516327, 946.22818233071177, 948.21566875989004, 948.88763551424211, 949.24412841618869, 952.34911657334669, 952.58548870549441, 952.88599836846367, 953.05751690550471, 955.72074800109385, 956.2271486361899, 956.8624836199881, 957.3397635311037, 958.12637496169361, 962.46230529621562, 965.32777981146455, 965.39806914418443, 968.14018687328723, 968.20962796136087, 968.71761777294944, 968.89670192230915, 970.728149831471, 972.08543422784305, 972.77491689141334, 973.33440522345279, 973.84897567654616, 974.23986838628866, 974.39176207252751, 975.21962771977087, 975.74049751194127, 976.07513449392911, 976.34634098596814, 976.85060707568675, 978.73836983777346, 979.62363088945472, 980.06188821575859, 980.92054320620036, 981.73763676736598, 982.11325326088399, 982.13342486093939, 982.52384658742722, 983.87525480928321, 984.6466691714154, 985.90641728534411, 985.98775009679366, 986.92812482639215, 987.61371738978482, 987.73159990964768, 988.35930587463679, 989.41641661593064, 991.01838949244018, 991.39656992125435, 991.56238319804322, 993.04529920662708, 993.2458784522629, 993.29505824358114, 993.56535792796615, 993.79758310626244, 994.02292006808443, 994.70952064850633, 995.18860916556457, 995.26488670790718, 995.31958454890901, 996.29052989227966, 996.75461553819116, 997.03707964845387, 997.32074834428749, 997.66242901600413, 997.94305532377768, 998.87563405277092, 999.4697277206709, 1000.6592301734314]),array([38.872700578156213, 39.015014358495755, 39.758236250736481, 39.792715356240862, 40.702822583910482, 40.792913146704961, 41.043600480211786, 41.32773961544175, 41.768080080332098, 42.210455709827308, 42.307315111244748, 44.325665075115403, 44.850308774562258, 46.957711175978893, 47.963680159497642, 48.193388509650966, 49.674375689263051, 50.854598908501124, 52.157302613327595, 54.031022863571955, 54.908124789335744, 56.484021606050156, 56.537389641271027, 58.728579957322935, 59.182743785711963, 61.839882385812992, 62.692262143092506, 64.338287654615357, 64.90523754460429, 65.258066559955623, 65.607590053034755, 67.247012300164656, 67.343586628607241, 68.191385288591903, 68.212264191339699, 68.876501613912339, 69.664589497723128, 75.034712987688707, 77.107822502216166, 78.499841717906733, 79.923661103939736, 81.642733538925043, 83.10658323256483, 84.347886261158678, 85.877318481224435, 87.736066455048629, 87.785680958289575, 88.180479213272349, 89.359158992700827, 89.712788655561113, 91.076829678672723, 94.35271503650695, 103.20232838030557, 103.27611041756238, 103.79898264205821, 104.54586419787186, 104.77534026787878, 105.69100226694536, 107.95936784338849, 109.32510892965716, 112.81986981783619, 113.37168761304605, 113.46345612605582, 114.23321086240452, 115.65140721753789, 116.20651815721503, 116.31892078226723, 117.47984331057891, 119.95953922387378, 120.52511209403258, 121.22222359897187, 121.54321470854556, 123.05926388827083, 123.35786772051618, 123.99035625645331, 124.53940504359304, 126.62436807839241, 127.11058906593051, 127.34013314844147, 127.50780141876639, 127.88508380592617, 128.79171839817471, 132.14458177076838, 135.23657698119845, 135.91038905156461, 136.01910483357852, 136.28752428028227, 137.76733733497446, 138.64412046192663, 138.95585974073643, 140.78523774093807, 143.29852031075424, 143.39758421247285, 143.80612279751983, 144.10906473256969, 146.23063405401427, 148.05256946766949, 151.01051412806902, 153.00164801135688, 154.22990981663588, 154.36279608508988, 155.18649022418376, 155.30222240019569, 156.64881313155533, 158.79918207765746, 159.40194060014073, 159.58074702578693, 159.89368030491949, 160.35722184951061, 161.67720680035444, 162.60056166902709, 163.96488222082795, 164.43860326742211, 165.26942126834768, 166.62751034476767, 167.12682935889441, 167.35215780023026, 168.41556827857784, 168.91859176621455, 169.43821714542739, 170.03224075316493, 170.10639788549415, 170.1778098159516, 175.77349081618533, 178.06778164198781, 179.71579030995809, 180.4093389186267, 181.81864897943402, 182.39842931346897, 183.54039858388686, 186.51486315177385, 186.71038137612652, 188.99543693829082, 189.32401746744989, 190.31406949530941, 190.84224525474468, 190.91827120655714, 191.03260879036733, 191.22586977716193, 193.54863890698505, 195.91728555241897, 197.14006698042255, 197.30525814014229, 197.68526036617826, 200.86779693121539, 202.19518871012545, 203.51463319192351, 204.24153871702191, 205.48040108214045, 206.47084318727585, 209.82862280231993, 211.45669370984203, 212.2195528189896, 212.3833421777648, 217.46087127781337, 221.30113399090354, 221.41515124425828, 221.48159664848748, 222.60758347566468, 223.81974924960269, 225.28861082938846, 225.69802891847459, 225.96038798021303, 226.78664397605013, 228.33313106040836, 230.87901196959692, 235.16210155525204, 236.26956144088084, 237.76232194706026, 238.36973020152129, 238.73739382963569, 239.93420852958468, 244.03099687521129, 246.25913891584537, 246.61735155161577, 247.09864428921924, 248.10655096613254, 249.33088036309991, 249.77637605761018, 250.7503036891882, 251.07519353006845, 252.04614306510808, 252.09615375821747, 253.33728227987606, 253.43848232469466, 253.65340812423628, 254.31218934093897, 257.0601287105838, 257.72915565271421, 258.95556527523968, 259.47522245083582, 260.20707482869869, 260.80126701495658, 263.2804268717037, 263.50232777041543, 264.74211834102533, 265.16001138917363, 265.21917519233983, 265.85187537390686, 266.57604992559942, 267.40587678856946, 267.46309000723721, 268.11858121810423, 268.23735428052453, 271.20520589157934, 271.91653682611411, 272.36825682134651, 273.36115998174159, 273.96977309126549, 274.35164291985421, 276.81441046763445, 277.33360296345649, 277.77958261888301, 277.91177527493755, 277.99200824024786, 283.91602053028339, 283.98709278140655, 284.72072726675344, 288.09399861132243, 290.00068154549047, 290.1003501658596, 290.36431510608361, 292.59458170179221, 292.83445742692004, 294.17520116693322, 294.37598988768019, 295.27045342470871, 295.66354626366245, 296.98310649881068, 298.78916225408364, 299.00217178625218, 299.49391590600408, 300.37164924429419, 300.46038287473482, 301.96676593225163, 303.33062359685852, 303.98896576065709, 304.23697989781584, 304.84833670731769, 304.92018530221628, 305.85954189361269, 306.12714186334392, 308.19310174045535, 308.61303186506962, 310.66195007837331, 311.0786865900252, 311.50270607383646, 312.33207467087914, 312.42544350869775, 313.20163636815084, 313.38312208495245, 314.24551705294977, 314.68980852074719, 316.14452638974319, 316.59805132943336, 316.70397903067203, 317.41063672365982, 317.43446148542967, 317.6628397021841, 318.54022631895731, 320.26909644531219, 320.54005190007854, 320.84133473908514, 322.54123438824769, 322.90271680766642, 324.73509738644049, 328.79687019073134, 329.19870682609508, 329.29422830991706, 329.57215095419582, 333.68181023704466, 334.35630917355422, 334.46004306302166, 334.76577209574191, 336.48819792925576, 336.55863254553418, 336.92833096864751, 339.10141453007634, 339.68506518345782, 340.06124529773746, 340.38598985658825, 340.57161806895544, 341.73840212645194, 343.7655026762294, 345.7726683449136, 347.7845699201111, 347.89330231858577, 348.51697313944771, 348.80389832133699, 349.01736328126174, 350.64453152084309, 351.30486576682546, 351.38637157001108, 351.65451784082319, 351.80439746296281, 351.87189942490141, 352.26365943718997, 353.75363550032074, 357.27643979966831, 357.48475123046723, 358.59221789050946, 358.89378577046483, 360.97778349219561, 361.14130572838042, 364.01481796198573, 367.24608879545184, 368.44511098319003, 369.15500629321321, 369.92247271479988, 370.94258363937018, 371.32811262811595, 371.46873078764816, 374.12714773013352, 374.50698044172321, 375.62406996535094, 376.19726044145796, 376.30804048602943, 376.89300686920024, 376.96434483629724, 377.35483421436425, 377.63636667509627, 377.76653651309397, 378.37997768821617, 378.91610101076282, 379.57834416511207, 379.64946799460444, 382.39178194573913, 382.69623737262697, 384.42440105786687, 384.9216067964262, 385.20771540042119, 385.26906311516774, 385.31709547690838, 386.19481315577923, 386.54372947437906, 386.8609845102705, 387.37601519412738, 388.18118731799029, 389.17131943385914, 389.54418837747198, 390.95630311908968, 393.92868099529579, 395.18175590158711, 396.44253175102614, 396.69223337918572, 397.50713669987078, 398.20177405008894, 398.41530932316891, 398.44054329528115, 398.62105219198844, 398.95459944558922, 399.531109514913, 401.19084010532418, 402.55851313997624, 403.05192286136469, 406.20062016222772, 406.59965608985601, 408.39104547123389, 408.88053545316711, 409.18539252657246, 410.54221726734232, 411.15875558542865, 411.27517750399761, 413.32717615941652, 413.87321221688359, 414.1085441396221, 414.57254602633685, 415.19257521551089, 415.82290512477675, 422.4419572060936, 422.84294119497673, 423.900768367235, 425.07796570495231, 425.48392565477894, 426.80226506094721, 427.17305673795778, 429.03223122838114, 429.08202472359045, 433.48321583468845, 433.90357229472693, 434.30501424257625, 435.89925961547891, 439.15032972664881, 440.23322880967709, 440.59335286903246, 440.7116196765005, 442.16911166459005, 442.78923186454745, 443.26723024885962, 443.75447420227692, 449.06755442200273, 451.32383325709725, 451.7366297192691, 452.31489373563619, 455.78008811523841, 455.83116031809521, 457.67296625760207, 458.15123121207375, 458.99788272835468, 460.77254700044375, 461.53658032585884, 463.28508723912745, 465.04005508647111, 465.15178699773782, 465.5739733301877, 467.11905287628605, 468.1412331534105, 471.61593923681829, 471.66769900483354, 472.13619163017313, 473.29428883409196, 473.69950891249761, 475.33511726179273, 476.24702795768309, 478.22022076201847, 478.47498115769281, 478.89420574980778, 479.61463027247072, 480.61947611369146, 480.97771777399254, 481.20649520401025, 482.53186604478645, 485.49801691669069, 488.52004681711151, 490.1875759285017, 490.79961789654533, 490.83877589092134, 491.6236194035028, 495.59467918422376, 497.94022843833545, 498.28582815124037, 498.41641354439184, 498.491701290094, 500.28660413883011, 501.05537914030572, 502.62401985332156, 503.82896202967953, 503.90095888576968, 505.26389061994422, 508.92547102786745, 509.45891699777775, 509.62452729057713, 511.02117249014611, 511.80722368243829, 512.08795162936701, 513.69643685889014, 514.48165934887277, 518.84586275647007, 520.61666059643414, 522.97370841281804, 526.06415131351946, 526.1288698792016, 527.22219070689653, 527.81210863454646, 527.91261073696262, 528.581499846778, 529.33128359716591, 531.56604237681779, 532.36832303131541, 533.02071431842933, 533.59482981582505, 536.1645711001762, 538.75627573806344, 539.04463219530066, 540.66223754578937, 541.52939720319205, 542.17779673634891, 543.51970969697027, 545.37993760598954, 546.92482532863221, 547.64761102761418, 547.6718280796772, 547.75280728289681, 548.01308150289537, 551.24501589260501, 551.35505961145907, 552.88376820337885, 553.00405250689755, 553.23640098603698, 553.32015203451829, 553.61234645935519, 554.32320522604005, 555.12945195064367, 555.77487702384087, 556.0615966954997, 556.10960144601802, 556.78952855537989, 557.38370921491389, 558.80393333349639, 559.6185238613715, 560.88253070057101, 561.22007492865578, 561.80154255927357, 562.142925126808, 563.20931981142894, 563.54445311722293, 563.57526454024753, 565.13335953947376, 565.36325607145034, 568.18997834115055, 569.45507046097566, 571.84760080306728, 572.26171930628072, 572.49010620392141, 573.45675301501626, 574.17698533853024, 574.32845108814581, 575.78090079583649, 576.4130637052541, 577.28213261151188, 579.17782969924394, 580.20060390551225, 581.05538858851128, 581.74453149492183, 583.16911311094464, 583.39809077268546, 584.7429174488376, 585.91547043274818, 586.19850908720764, 586.50548933369851, 586.68869487678, 589.75905181505482, 589.82008912558933, 590.02790575749293, 590.06247655089999, 590.96912044323642, 591.28878964777266, 592.05991656092772, 592.19979979566574, 593.44812107512598, 593.63169861976337, 595.19295847828641, 595.47341865291776, 595.62102342767616, 596.1537425719273, 597.09945773871198, 597.3851594328836, 598.76127789273619, 599.39752838970617, 599.66077462461556, 601.38221202651175, 601.55315968154298, 602.552475992822, 603.08284554525835, 603.20011719424122, 603.28861290883276, 604.92690186280083, 607.08084267762797, 607.2643120838992, 607.50440992701124, 607.58388347831703, 608.60064410686141, 609.15987922917361, 609.8874612161477, 610.33538473060867, 611.29823796923995, 612.89081780039135, 613.57984911144104, 613.7944884315574, 613.90592058167124, 616.16459742366237, 616.80347732244172, 617.030986488915, 619.38470151726699, 622.24818796532952, 623.01204026583741, 623.28699192311092, 625.01255434641234, 625.16131209173568, 625.70269318021758, 626.03093682795213, 628.67572397882316, 629.4195665432627, 629.72866676010892, 630.84524615957037, 632.03343074028874, 632.55081699012192, 632.72751787925176, 633.39354216832862, 633.6817696673229, 634.46752166469958, 634.95770164427495, 636.22855327475327, 637.21539755023002, 637.94854134122875, 639.6257003991002, 639.78582073200198, 641.97806363548432, 643.61257864669471, 643.76807639565641, 645.83852284482123, 647.02502082956005, 647.86959635272956, 648.42382693486911, 649.53951169398238, 650.42631374175403, 651.59196482079358, 651.88473645082627, 652.06727714467058, 652.38402718092868, 655.29391768770756, 655.52977543762006, 658.94390264342553, 661.13976842926274, 662.94110420708296, 663.83020995664845, 664.00840601930486, 665.37308281630533, 666.9202051311355, 667.51544843634326, 668.10704312496455, 668.9220335095614, 668.99570119125951, 669.38208452347362, 670.26993555258548, 670.8939919878585, 671.87876554050126, 672.37476875663788, 673.98334089658692, 674.378376169577, 677.08041612716625, 677.36055820625768, 678.69665620368414, 679.21570061915861, 680.57359989763052, 681.33273984146558, 681.63143009303508, 681.65638211518115, 682.41106539537452, 683.8258347030727, 684.94829848019083, 685.12362275661337, 687.70555566847338, 695.06604124813998, 696.07146746739636, 697.11882973809372, 700.36444569735136, 701.02022239638495, 703.47114240787073, 705.51391766159384, 706.34036344014544, 709.88282410260615, 712.22544762177404, 714.18605004666881, 714.91307090242663, 716.08747103846599, 716.52993490218489, 716.55022636612102, 717.96674899854008, 724.0953229037533, 724.13899838863256, 724.35372930064671, 725.75524561937993, 725.90188396256087, 726.18577928517004, 727.25537988400959, 729.8196283813794, 730.08408488309715, 730.22795043458541, 731.59829857842078, 734.21575247488852, 734.28761808643344, 734.39980327562353, 735.63734389008619, 735.91174152051724, 736.18670800274981, 738.01818149922531, 739.58119148655737, 743.92310505727505, 744.46060174184163, 747.84111768794708, 750.16584507732296, 750.28365570415792, 751.9587928178521, 752.29673191940219, 753.38810581594407, 753.68840694101141, 753.86916151179616, 754.20348508229642, 755.84349710306742, 756.46728803440737, 756.61921530501741, 758.27673361125994, 759.572519993779, 760.52233372189312, 761.27635216448061, 761.40649550755359, 761.6289009597715, 761.75006594940999, 762.00450001301192, 762.90332099399984, 763.83937721450798, 764.53954596570202, 764.71390024651589, 765.03632456254184, 765.25012367613874, 768.50465847934208, 770.1393066524837, 771.72966095466722, 771.75505922395428, 772.1876954052442, 772.99390504159658, 773.8052578286389, 774.72114007487789, 775.68041962362088, 776.1133809465714, 776.33997223448932, 776.53125119526624, 779.50606691042481, 780.84016432703561, 782.30703352016633, 782.73812200138673, 783.10584526813511, 783.17063645402777, 783.71020713880932, 783.98492877731144, 784.71327425840479, 786.00013297489613, 786.09623014738793, 786.23363901429502, 788.78941678758406, 791.890542471564, 792.33728485283507, 792.39272095572221, 792.95020273338025, 792.97785861279874, 793.76881695500413, 794.98247213854279, 795.306824478875, 796.27330106156762, 797.77870266544005, 799.90850481464599, 801.61731690499505, 801.71987621337962, 803.31700394945278, 804.94934384129488, 807.87277610805199, 810.63201880063787, 814.93198335077807, 815.41983387366156, 816.23933231455521, 816.62314418368794, 817.77858384587887, 818.02917654691225, 818.47271460492072, 819.76258083154607, 819.92923959602319, 820.62509301801106, 821.6972067197313, 822.72332944866002, 823.53551988398272, 824.93038321863446, 826.07160688286092, 826.69159045951358, 827.14690503175416, 827.19360629123025, 827.5859884849541, 828.70558849976396, 828.92348062877124, 829.53407150191526, 830.90427046646255, 831.30685663831241, 832.17250565883296, 832.41298859055803, 833.5550149077568, 834.73146136524088, 836.91077678638578, 837.25358492067028, 837.45679510846685, 837.67930252312908, 838.12420664995955, 838.42449097336544, 838.54982296066919, 838.85057576187728, 838.8752504594728, 838.92849966322649, 840.89327718349102, 841.65867491310439, 841.68071067644053, 841.80046029111543, 842.90086112904157, 843.31313183784732, 843.40097766822043, 843.60215159048869, 843.74550595369328, 845.75726985207893, 847.52367674944935, 850.57258397500811, 851.97211637366183, 853.05596271848185, 853.44683645960004, 855.02879166038065, 855.48546018101786, 857.40545106868353, 857.70353562066737, 857.8874461420578, 858.70760925515458, 858.97446584364513, 861.12439040293327, 862.03762145187193, 862.63934712465152, 864.09537182135614, 864.30008270681515, 864.95731225494239, 866.34954564939176, 868.78150485883816, 870.15124495003761, 871.52269838673237, 872.99008458141088, 873.05576070094503, 874.32455737762359, 874.77551884049126, 876.5153163438456, 877.4575363576497, 877.59770232238941, 878.1097008403525, 880.76232255673699, 881.1162765995017, 881.21027818628136, 883.12389800325036, 883.87216261768697, 884.33168368207123, 884.48888706558159, 884.78170286197349, 885.30760568862661, 885.35187452868934, 885.79593518367039, 886.37559523169466, 886.87666875223567, 887.95214642355336, 888.70206862033365, 890.45707578838278, 892.44196793333617, 893.67090459009989, 896.82079705403441, 897.30783870784103, 897.34894385782411, 899.11892695526797, 900.31212364170165, 900.4625747323322, 901.56717773326102, 901.62079508427666, 902.14018315962937, 902.42893251342934, 904.58926146371721, 905.65508916164788, 905.8054367939452, 906.18083309606823, 906.69030633385398, 908.97023502459137, 908.99539838881299, 909.1787887557573, 910.80593298278518, 911.08934581587948, 912.11894913626725, 913.32481555657637, 913.48244388358182, 913.67160480943619, 916.44282430863086, 919.17069106147335, 920.75564278220509, 923.14569594264594, 925.44374725987211, 926.70886641528853, 927.13243109816074, 927.19222441458135, 928.55700576015772, 929.38512961842468, 930.07981636588636, 930.36097189618636, 931.31860381470699, 931.95843871418856, 932.01699023453955, 933.25437584319729, 934.60084204043778, 936.25000037626762, 939.20926940199035, 939.84933349229084, 939.86980934120118, 942.67163054383298, 943.31410886418803, 943.54946553301818, 950.61984491377507, 951.39983579818272, 952.47719463041187, 953.51407246835515, 953.67342427385654, 954.34732095225684, 954.87374302080059, 955.87074364911348, 956.01462978040547, 956.59421740875882, 956.98902093619063, 957.16537108549073, 957.69166224134381, 958.48217300235706, 958.51172047372165, 959.00351045108107, 961.15603476035972, 961.32548412152289, 961.78583132118877, 963.10986752146835, 965.58976439841956, 966.70433056308275, 966.81247688572626, 968.91644276887382, 970.41231792981785, 971.6910346988974, 972.18844562986544, 972.68330370198316, 972.73825647286151, 973.05372621392689, 973.28689743499638, 973.75354186102516, 974.95907102919193, 976.44667950553094, 978.06765011513448, 978.35593906708073, 978.48837870454213, 979.65459743871429, 980.40119859679885, 981.09124285247231, 983.0143472646846, 983.28721959205336, 983.98110566787375, 985.85170705727251, 986.01022806780725, 986.52868767429595, 988.10782559469374, 988.39660090089524, 988.72567323345265, 988.87190062133357, 988.90845389891933, 990.18657803854978, 990.3199274739834, 994.4246437520419, 995.8537715277115, 996.27030443894625, 998.545737705237, 1000.6731153551281]),array([17.994986675436621, 18.279525327534174, 18.421028870896276, 19.641989126423329, 20.238527973948123, 22.052917494288423, 23.587104436344749, 24.869985589084465, 26.834796082733067, 27.228600576711134, 27.892257411928917, 29.152257903373599, 29.44432974251518, 29.545395126252295, 31.096147752171735, 31.500613114274685, 31.606106780709698, 32.298168054906093, 34.648363493036676, 35.931665248377982, 37.794641614110297, 39.498132803569618, 40.910713101238052, 40.95008684332219, 41.335623259257751, 42.976457823098492, 43.566394496341758, 43.861618144883025, 47.161438643756156, 47.802612101721856, 47.976021630864651, 48.432072087602478, 48.621839579433356, 49.684621753396641, 53.149606072401376, 55.098697587174456, 55.910124001825764, 56.56274438340116, 57.161985625879211, 57.528337365524386, 58.147414107313658, 59.664507345802988, 60.236882176653261, 62.664078909941807, 63.737223847711064, 68.438705098433687, 70.502990090045373, 70.973235566906283, 72.439564862087309, 73.783170011997001, 75.180322283974874, 76.227118538905884, 76.295359678307079, 80.652734286771306, 82.844216177415234, 83.854014538438634, 85.213813637204495, 85.791450964623181, 88.309865483625643, 90.222248759811833, 90.398036071150102, 91.254061632571023, 92.459785801504751, 92.645992751932226, 93.71022214056039, 94.653713537384405, 96.896248798061094, 98.768397886383212, 99.044088351525545, 99.967525909490561, 100.7466614620887, 101.40945518146114, 102.41713181350245, 102.48314749133374, 102.79768306586749, 103.17577430943923, 103.2024925095525, 103.62652568740707, 104.33581074966149, 104.66277197080255, 104.79580406330035, 105.36836732201719, 108.08494494169453, 108.75846484268266, 110.02202980670191, 110.90665800116895, 111.74399631822152, 112.25572672617034, 112.49303159540473, 113.48712146569318, 113.94115484023993, 114.45326474890075, 115.22716871566652, 120.05427066499412, 120.13024588173926, 121.48038431994107, 122.36846231604947, 123.06138822687581, 123.13374377315661, 123.3873361468915, 125.06491394483837, 126.20037260443578, 127.21723880784307, 127.70390422830074, 129.79268460198276, 132.61470768670068, 132.82816662972948, 132.95989246148179, 135.49896318842846, 136.14537860626206, 136.67891985744166, 137.65341338254939, 139.54241127822738, 141.53820534722217, 142.38055745032668, 143.28804598471586, 143.57039068038057, 145.64777681673183, 146.16067352369032, 147.91514419664662, 148.58518629740615, 150.37891791669114, 150.56035705122767, 151.43269657261843, 152.45049438586503, 153.57761648656907, 153.73570146259408, 154.02417628677432, 155.12682109897165, 155.16571455017478, 155.73037917505886, 155.86304204147353, 156.44138503171121, 157.71703829312898, 162.14928179609882, 163.20505483605777, 164.63886971526071, 164.85074237193643, 165.25821979954225, 166.0965822305871, 167.6936416343346, 168.08539979583506, 169.13368870204656, 169.45880459268838, 169.70070884303072, 170.33611164932452, 172.43733153416156, 173.94790023999684, 174.04465766992288, 175.2137037385894, 176.2809881570702, 176.42038266524543, 177.19064522223806, 178.08656316379799, 178.8697131344791, 179.61915235755745, 180.83689782935198, 181.43812383177038, 181.86073594137895, 182.46278141406242, 182.80544131488915, 183.22532871513914, 184.2022414542644, 185.77368137573049, 185.90469319941965, 186.37631899205712, 188.52000038455785, 189.27125724133691, 189.70793455074542, 190.46480961097899, 191.01198299415617, 192.07618540610588, 193.8362426154147, 194.34486639120459, 194.73034144813803, 195.03201822075522, 196.25916797415917, 197.01625704260061, 197.14359160482459, 197.76628099388165, 198.95935929044154, 199.21003964707111, 203.52057208050391, 204.30614407880512, 205.68623747649079, 206.18181409794951, 207.02569137719681, 207.66327967493314, 208.57305423890335, 208.64925710363212, 209.01220881382528, 209.71896995690688, 210.04636269759396, 211.09994703827422, 211.13488426877717, 215.54802296807051, 218.39180159108744, 220.1108421310042, 220.1690687184261, 221.70369671483726, 222.11646386723257, 222.19948148131445, 222.24198133102826, 222.54961627126647, 223.42580196384938, 223.52263966578315, 224.38108481651122, 226.69149324333989, 226.75848515850004, 227.31881498640644, 228.27446387386337, 228.61316260012862, 229.02530265232093, 229.08441573146763, 229.70318817136348, 231.22344667893293, 232.25585256136296, 232.82169288792002, 234.20463246940909, 235.49548355120888, 237.52832728523413, 238.10528783912167, 238.8377960444918, 239.94916724288171, 241.08393608004536, 244.0632878867778, 245.65691199219222, 246.16321458754243, 247.40943294438179, 248.14965915351416, 249.67044789946496, 249.79876877246315, 250.39233462567134, 250.78991657303203, 251.34040161375356, 251.71301064283941, 252.47768088753887, 252.69604234713032, 253.08044337083209, 253.38681937530592, 254.19458417604667, 254.24355580627997, 254.58057925796294, 255.96455235178161, 256.17632714394159, 256.54342872429737, 257.97581037077833, 258.8632995631155, 260.06115178946328, 261.78707374476488, 263.68466841596575, 265.11407917757009, 265.49200284669155, 267.15565303472226, 267.35648263594913, 268.76778028720418, 271.04329946242467, 271.67103219947671, 271.77537186428248, 272.52248479789455, 273.2975878845337, 273.73441958307404, 275.27215033291742, 275.68461908670542, 276.16744517113591, 277.9488415080221, 279.17293863740252, 280.76774115285104, 282.42835372265978, 284.27577683860778, 284.90012475096432, 285.02205220533676, 285.77244007699312, 286.03450487184205, 289.81264649031203, 291.09387651998344, 291.58188647101929, 291.68317774357467, 291.79978491313796, 292.73228006493173, 293.20693020825593, 298.53929246863191, 301.11790728867771, 301.27667975081266, 301.97493671667354, 302.36192193561806, 303.4552103107776, 305.9367366920082, 306.44338618911496, 306.52815357141878, 307.56856663481858, 307.92991344343164, 309.1645790555333, 311.96081287025009, 313.10653818770919, 313.16355495170006, 313.49512042307475, 313.8692969618109, 315.60315468203788, 316.14431935400432, 317.02897034805915, 318.08214867874767, 318.41321097319752, 318.46697160792689, 319.36042406864613, 319.69752856683317, 321.22699747826425, 322.06420978076284, 324.16552233665317, 324.45120113106788, 326.6023146112363, 327.00265846880831, 328.55720001739178, 329.17063462191447, 330.92188216418134, 331.66391287163447, 332.14082403367507, 332.59797316198603, 334.84360258185592, 339.0709667553366, 339.28778344335535, 339.67241473505032, 340.49168660337887, 340.60282731699272, 341.02599970862281, 344.58030098499881, 344.64026531269354, 345.10909277868535, 346.21202330995982, 349.62118471969552, 350.78626322108306, 352.67517938346043, 353.07824301265305, 354.06342906620148, 355.13232148777752, 355.46665717026019, 357.42859652957765, 361.40904727852438, 361.4341342161556, 361.85929902755555, 362.05659335802193, 364.38259483295076, 364.41168154806178, 365.66488378556221, 365.75519710672131, 368.7766543959948, 373.29257715724316, 373.33559293297003, 375.14522839719859, 375.52564574047153, 377.86707252106697, 378.39273122672694, 378.58178563440947, 380.57647874712723, 380.8902697407936, 382.81519153205272, 384.80992922195475, 388.74718247024043, 389.5843845046611, 392.79104456414302, 392.93781629963456, 393.58682584545818, 399.40790485614821, 400.23980110034131, 400.41368835484718, 401.63001986907528, 402.3993295666092, 402.77387737158432, 404.05359868758603, 404.37865952415768, 404.73757058788505, 406.78050216629225, 406.89733587181098, 407.0320866232471, 407.63352340520282, 407.66109902767857, 407.71203776050345, 409.49634425219676, 412.20737200878489, 413.96018085411089, 414.99112456962911, 415.1349873739976, 415.36625333644764, 415.56510337291343, 415.91243723245213, 415.93792724419438, 416.77516393961309, 417.19089738563946, 417.37261292404389, 418.08002844944798, 419.86661060194092, 420.30979057654042, 420.77369760885369, 421.54648361810791, 421.75253298407034, 423.85523075845907, 425.00953642020272, 425.11995623517851, 426.68236308691667, 428.77727759403018, 429.65233868143531, 429.74087518367787, 431.2329601580285, 431.45782796689269, 431.66598984593935, 432.63583210140428, 433.35368178972561, 433.40667786795274, 433.58788271692833, 433.66014589885441, 434.30146022861123, 435.60496156670064, 438.04559650314184, 438.94871716488456, 439.61855582981184, 441.15214079191247, 442.20816926451005, 444.16854486564051, 446.9989275933691, 447.43571750108055, 448.6596852911992, 449.84577070975587, 451.23519160293023, 451.34630423796887, 452.24373688797294, 453.40346581007509, 453.46067353189301, 453.89402195200353, 454.24702260272744, 454.59097611328821, 455.56070687933919, 456.22867612114351, 456.37869924895483, 457.16585394526277, 457.20146627677178, 460.3703452024252, 461.74168135705776, 462.16584095551582, 462.35747850135976, 463.49563545686914, 466.89379585713942, 469.68523500504034, 470.48320758983817, 471.56361440920415, 471.87935083689001, 474.45381797536311, 474.84206553939009, 475.87950827299846, 475.96927602772013, 476.8946939968468, 477.4560167318204, 477.79559726534359, 478.26839770162269, 479.10537787327524, 481.1792373429077, 482.16751500140515, 486.38493505115144, 486.45000768802595, 487.08346717513723, 488.01874249281337, 488.33945885266991, 490.66350171047878, 490.97160764054991, 492.09539688206422, 493.08424342613097, 494.84897248819726, 495.48558364830711, 496.3744504890459, 497.60235202814681, 500.4613348887176, 500.91744006957487, 501.64821923728255, 503.91744678308089, 505.18406379155846, 506.33349775120172, 507.78839991412929, 509.30024688251353, 510.28691920808876, 510.93798974402119, 511.54792186910527, 514.48832434955921, 514.75122648249362, 514.90684223814071, 516.19460901096897, 516.84178369672838, 518.8251582134053, 518.99505563540913, 520.04927338108405, 520.20291715254734, 520.32951707591042, 522.01680173542354, 523.32712825215822, 523.44855961197356, 524.28925204543589, 526.30215237490972, 527.5821064209988, 528.06275356244203, 528.30577711205603, 531.57806147042425, 531.75486859817079, 532.44953138924791, 535.39961075653332, 536.25324109296696, 538.23461648827242, 541.47002547035584, 543.37942716699786, 544.71303168813495, 545.0565739650167, 545.19066621583966, 548.6297986982737, 549.70954632840096, 549.98697886634466, 550.54633001618777, 550.69873768145942, 552.77089202749289, 553.72259794715512, 554.0513386761038, 554.17830207721772, 554.57799894550317, 556.20966107825018, 557.1067514819556, 558.8360689911575, 558.92969063927205, 559.05470866123574, 559.09002005147306, 559.50109519364025, 559.81142158165324, 560.33478903366586, 560.83999937025328, 560.86269192974589, 564.21608379060854, 564.5859139639648, 565.39710404337279, 565.45103598827438, 566.3971791179838, 567.63596538439742, 568.10883774618389, 568.25959908950654, 570.97605244705801, 572.68863849603406, 573.52798175562293, 576.39956390204259, 577.36579343624874, 581.22342185611251, 581.9078989925431, 586.23542515956649, 586.97448761914131, 587.34783321824114, 589.15897673899917, 591.22703490656465, 593.26650110302808, 593.62404638247267, 594.39885071712172, 595.41972355806195, 597.08125531054156, 597.98039500600714, 598.39875066026184, 599.62545200418629, 599.95032113572427, 601.39550996061814, 604.43252244478083, 606.14447542813264, 606.91702009755977, 607.12730992310298, 607.48799439910613, 607.53825835654857, 608.55001071399442, 608.71304780195749, 609.58078868939538, 609.88247707264497, 610.31620550980051, 611.17794206640679, 612.54605466231521, 614.41116352544691, 614.43785618613424, 615.03965847270388, 616.23937873638715, 616.56385398622365, 618.42723768014719, 618.75295933520704, 618.82039676314321, 619.10241245974203, 619.22101777334353, 619.61241284609287, 619.73225430068351, 621.06022128171139, 621.338944816923, 625.24070211059325, 625.51832610490146, 625.7221991618278, 626.0137855986128, 626.50734818038597, 626.92991594787338, 627.80471950362596, 628.1904509740325, 628.94828205198019, 629.53469033184228, 629.93713241488626, 631.08352005523625, 631.3886824651056, 631.45701996023104, 632.89809408060057, 633.79492562718451, 635.84787571416723, 638.68657784520542, 639.04918060207808, 639.17704275914548, 639.20377131779503, 642.82349360162107, 642.95688722469038, 643.77858094603334, 643.99426754192598, 644.08316699166392, 644.42970853238194, 644.9963167508281, 646.61078510278469, 648.08674227158212, 649.35869949423545, 650.47469770735563, 650.64895084180819, 652.56231717081539, 654.52511152934505, 655.59755915670996, 657.87556278249053, 659.11573067413144, 659.38615712712476, 659.77013306030597, 660.22764694731279, 661.28682909577174, 661.87201685777052, 662.14109491613942, 663.99468154729391, 664.52305749241714, 665.04986493775891, 665.08342729332469, 666.93362711626571, 669.03353139062369, 669.4644913389825, 671.15301123631173, 671.28794501557809, 672.15650297013156, 673.16978194635942, 673.85495929733599, 674.11421451389378, 675.06004296761364, 675.0803922689289, 675.95982165839223, 680.34198340093315, 681.52936271562999, 681.56322481570351, 681.72911838714526, 683.20880028285637, 683.80401667514593, 683.96972433553105, 684.14160865318377, 685.20901693984877, 687.33516208263256, 687.92012979684785, 689.62806513676026, 691.5905879707384, 691.93529517932745, 692.52110101533776, 693.49948362650571, 693.62814087533775, 693.74862002803195, 693.89257435333172, 695.66401907200395, 696.67045354054187, 697.97061720259694, 699.3936790095787, 702.41065941665192, 703.6134346297431, 703.96389448709704, 704.8777833363315, 707.99483725761024, 710.59836759945415, 710.63426234962697, 711.23752568527868, 712.89499362488561, 713.06679164855439, 717.5996918009954, 718.38251342821354, 718.43892445110862, 720.03988892294342, 722.43406399075229, 722.58526680148975, 723.30548186072394, 727.08628420745924, 727.12583401887855, 727.66682254429088, 728.82757798880198, 729.93852938652947, 731.20056076423555, 731.57295195655456, 731.61533704405929, 732.14629894882057, 733.86682867797731, 734.72008709967804, 735.38891901721911, 735.76112920473099, 737.88727367145634, 741.28197967271467, 741.31487148860151, 741.4113683594918, 742.00546921898228, 743.86239556669216, 745.51382948436481, 745.62196300195569, 746.31162991423332, 746.92905240441507, 748.85473664821257, 749.42717488382732, 749.95431473199119, 750.52107334642437, 750.70737025189089, 750.79656310792882, 751.07539882978995, 752.25015780350873, 753.40585413392648, 754.54894016096193, 755.80698357342328, 757.1923899151476, 759.2208330237097, 759.65937865919125, 760.29362433903748, 761.4819422894426, 761.52801160184379, 762.54770352947048, 765.77394073581797, 765.9020466961158, 766.81564686819627, 767.49398259356587, 768.50346336952146, 768.8016354934457, 768.86397908809033, 769.32115931565716, 769.79847417976112, 770.49823186794072, 770.95424277243967, 772.98109095808218, 773.41548426320935, 775.03121287598287, 776.18590812064247, 776.26056876831797, 777.98516255551147, 779.58175927962384, 782.30088991457694, 782.54186106235602, 784.12340316532288, 784.63269659597336, 785.258156684754, 786.01121576020421, 786.42272407822304, 787.57415654236934, 788.33679388490361, 789.13443026848938, 790.84676927479586, 791.76515526988612, 793.86042922589024, 794.98217239403664, 796.03354159803177, 796.16543559667844, 797.29157762179466, 799.09652582280171, 800.79135510247681, 801.47705133828345, 801.82541105024484, 802.00533731933058, 802.28350107179085, 802.65326560028348, 804.0636142657246, 805.15487313844403, 805.76564308715115, 806.76293691999103, 809.26863103916241, 809.55971564665151, 810.19178698736857, 810.28513698118184, 810.55925556130694, 811.61701510869682, 817.00291167863077, 818.4283372415473, 820.17784454047558, 821.00724349876987, 822.55435134891081, 826.885638453512, 827.98810627679745, 828.05692549981939, 829.29299312495743, 829.36933425290124, 829.6625968024473, 830.08328000855113, 830.20267243526507, 830.94276713168711, 830.96929682372945, 831.26134493484392, 832.29753268846343, 834.69319294345371, 835.30589921442765, 835.46010276451534, 837.45562037036325, 837.48142604816132, 837.72862806428486, 839.00217301190457, 839.42146915858575, 841.07600726251985, 841.15749161609517, 841.34992034703157, 841.84808745916314, 841.87922418912672, 844.40257829693178, 844.99446590679941, 845.43063244113455, 848.27342515294936, 849.38767110614867, 849.45885749696527, 850.09682048662228, 850.86986771930208, 851.36163668995107, 852.88116816927413, 853.98289753556412, 854.18947784733734, 854.2890806076357, 856.04754966366875, 856.22827280753199, 857.24909619820357, 858.39668477650378, 858.7213789843762, 858.98644885952433, 860.79567071229371, 861.46272551176116, 861.91946506842555, 863.86844263454782, 864.74408148694806, 864.96762646910565, 867.19552823885965, 868.5493586821766, 870.41904984244786, 872.6480058959562, 873.54891090045317, 875.79827583795031, 877.37746623717055, 878.61377049242139, 880.09796793669534, 880.41317575367361, 880.50064388899034, 882.82634940480023, 884.189226175915, 885.55843251998078, 887.74077111545807, 887.98043527983555, 889.70481916224696, 889.84748965371682, 890.87506346574219, 891.06400986393191, 892.33582295263659, 893.54493329521188, 894.97360750525127, 895.45949095206697, 896.84399101246004, 899.10676689262698, 900.01261592649166, 902.55795494570418, 903.47155585934559, 903.72320518656056, 904.67523601544963, 905.10623631176577, 905.23095811766098, 906.0819109318212, 906.2328002976376, 906.36297667030158, 907.26501988278926, 907.98009400380658, 908.62378466431005, 909.08511615887892, 910.05099197388256, 911.70565543379473, 911.86288265746214, 912.00987687048485, 912.35517589946278, 912.81204500058266, 912.97417263101693, 915.09498377330362, 916.65999602213503, 918.15870306174293, 918.47886517132429, 919.20859673165228, 923.07764501074223, 923.35243802475952, 925.9880591256948, 926.43961779393715, 926.6399072739257, 928.07267543339799, 928.16922389221429, 928.24253792570323, 932.68753006552618, 932.76617658475516, 933.22415340164423, 934.35332808216481, 935.86646369830203, 938.08187134021489, 938.47992853043093, 940.71436400570667, 941.38314132325013, 942.70994680152819, 944.12908892944415, 948.19092258113278, 948.53197982137033, 948.84635220815096, 948.88220320672156, 948.98668452844902, 950.41648442721532, 950.65974084227048, 951.30315943869823, 951.4047640623844, 955.84254586407644, 956.19877523104265, 956.42943118473772, 958.97625050935449, 959.73838886189799, 961.10936479731367, 961.81790706956201, 963.51796072623733, 963.54534324178724, 964.09874402388687, 965.32228748963314, 968.21080727273761, 970.08684347138637, 971.81750747780904, 973.2022982311961, 973.79168885770559, 974.48220454685486, 974.92066106425773, 977.04010147039844, 977.53048715937859, 979.2357942492913, 980.20577324665737, 982.20527917221727, 982.82102240981135, 982.90328893628396, 983.19995974907977, 983.26886272015872, 983.64550530472252, 983.90366051243973, 984.05737582074812, 985.16845687745638, 985.23474252615279, 986.57731106044218, 986.87890965210261, 989.88088369877653, 990.36128720871488, 991.5327272703305, 991.9332179655263, 993.12162218027743, 993.81733917551412, 993.84899618010741, 994.14047005457337, 994.63257965475964, 995.12785410552681, 996.11663050452296, 998.85966288068255, 999.79546549011889, 1000.5646175360795]),array([12.151454580204602, 13.568344120742063, 13.761950720919877, 15.315804268331506, 15.413326432850344, 17.542087825292349, 17.931543154626613, 18.320954164132637, 19.052445673958687, 19.253639929018401, 21.512929054522402, 23.767403601100384, 24.349129544108383, 24.507209327605025, 25.019385818270152, 27.098246056855476, 27.886301742069449, 28.298783244580395, 28.645890268853879, 28.810974078380433, 29.437296812459596, 33.164679541425102, 36.176503103502625, 36.753538463921899, 36.829280530608365, 37.172109230286139, 37.733549863818126, 37.857569199155996, 38.297531940818835, 39.568531306004729, 39.740480978932091, 40.117066584406736, 41.052872729160299, 42.884017117983518, 43.248346017047098, 45.885873174453778, 50.625197879045466, 52.368024552928404, 52.4923947388641, 52.529673422576408, 53.294633238423081, 54.138110430658465, 55.300399437111601, 57.304845377338999, 57.980266100022185, 59.755944967337854, 59.910265984098274, 60.961797444801874, 62.001167051659529, 62.042231520182128, 62.585404874652383, 63.38163440527287, 63.450047186694029, 65.008063640190699, 68.038113809016608, 69.416835979036932, 69.798770622639353, 71.791928755736905, 73.286882174310279, 73.493779036575162, 73.802486846225861, 74.074359229331435, 74.229572130164314, 76.325683795016957, 77.720789457162937, 79.153609032971573, 79.267856093960418, 81.697370995237364, 82.303228261105232, 83.014079347770732, 87.308955118563773, 87.5150542737899, 87.999344908495559, 88.199861019043283, 88.88670336564941, 89.053067609341383, 89.152503120849104, 89.78897328299567, 89.950093745023707, 92.070588361488916, 92.569185796826645, 97.197388832917753, 97.443179241175386, 97.701435577875969, 98.826661913264971, 98.855587835044759, 100.14919240903846, 101.3181937036619, 101.35068861783768, 101.52001660162905, 103.12548101288718, 103.26264848239515, 103.48846900101964, 104.0074334514386, 104.16803810631572, 104.67231985064628, 105.06712413518525, 105.92842172929429, 106.81074109841992, 108.12999531774012, 108.86949083227243, 110.36242344430894, 111.99272064080267, 112.02228900171819, 114.21891352114289, 114.35882320151525, 115.04014818600763, 117.59104099200552, 120.13311359701706, 120.44825167155609, 121.07812933399545, 122.57765638326998, 123.85804334229455, 124.74187664844233, 125.41170270503791, 125.69399478264856, 126.14213876992385, 128.39655771912487, 128.61443968862972, 129.04518764062973, 130.1765987405837, 132.24882964994748, 132.6628107206466, 133.42252257193365, 133.86543297546265, 134.48443294547587, 136.3393799783523, 140.95702357594368, 141.27038673105739, 142.03727217152098, 146.48781697386838, 147.31317216986949, 147.90019456522222, 149.70320965510953, 149.74822573536042, 150.71947951358268, 151.31382243374674, 152.40272547965159, 154.40039659448541, 154.96286005248945, 155.0739067103793, 155.43979003149985, 155.77375737960659, 157.59196994195418, 157.74401900640228, 159.38207329927536, 160.52353807294847, 161.7608023543485, 163.13327402309571, 163.44053871149958, 163.48592674245802, 164.6917045989338, 165.32005670668596, 169.66812435097114, 170.09574656477938, 170.31063737187839, 170.43540987879661, 170.96950147490548, 171.48838883100612, 171.89851690405879, 172.01802770789334, 172.33462470668883, 173.01361976294456, 173.80511708911288, 176.23956803011217, 176.90310228899867, 177.08498543043044, 178.61369708198717, 179.20572609192382, 179.62170942668507, 179.71403109198744, 180.01340055887576, 180.41843634806563, 181.48387471088427, 182.08185040982187, 183.74112461264048, 185.74717408752554, 185.87454277023699, 186.11657521268012, 186.31134495740091, 186.95066522299109, 188.37850021995325, 189.18053221318877, 189.91366826058106, 190.01030612031516, 193.01463577525203, 193.86689863440859, 194.50123973294964, 194.89097723036389, 195.15841210098506, 195.83770865095767, 196.84435585030698, 197.97798574362523, 198.43942082702236, 199.17474811722116, 200.16470530966009, 200.87453249675079, 202.73257121801581, 203.09079112913412, 203.61383413658936, 206.30236992724207, 208.34899651662059, 208.680311312491, 210.82823399311354, 211.03491318494829, 211.11149684780639, 211.39316391293031, 211.97254503498226, 212.84481201212955, 213.3371759742972, 213.90638619366769, 215.69009871586709, 218.49576310874272, 218.77265087771471, 219.16320602326161, 219.48479605015191, 219.73548921040506, 219.84259873742431, 220.37873438494321, 220.52122441463095, 221.79462675955179, 221.99783953020574, 223.02192920515063, 223.32198411830788, 223.53015491331303, 224.24050221779967, 224.72999544145966, 226.76257467752481, 227.8343053927502, 227.85684505311227, 228.41766344020732, 229.1767403650293, 232.17557287417162, 232.59888360564733, 233.90157337499491, 235.1544787640633, 235.51252331005756, 237.68001336471536, 239.37503576766679, 240.1432783879838, 240.24118445712787, 240.47957572550504, 243.1322919193596, 243.95815676642067, 245.55701685314605, 246.47557329824485, 246.95888697803309, 248.79927754527571, 249.02821097191435, 249.84067784136221, 251.35833410987738, 252.31921223735739, 252.66623850869081, 252.69944851342959, 253.02354691746041, 254.30572948804931, 255.63171768776937, 256.07491348165922, 256.21947054148228, 258.65197346419632, 262.39666024015065, 262.47623948711498, 262.68607142860145, 263.00339965472608, 263.30960662444505, 268.6975623743707, 268.98738012436365, 269.23052983476049, 269.3770892034467, 270.50694203844648, 272.77126716491722, 272.93285098290414, 273.50024738821128, 273.93826631827028, 274.82875528441423, 275.02052790650561, 275.09539929618859, 276.4981153578704, 276.54164862346204, 278.44746310469435, 281.61789532605479, 285.86307418767626, 286.00889082352012, 286.31178307030734, 286.56065928832277, 286.8376130036923, 288.28417742319698, 288.64473102122957, 291.81083761598114, 292.70461978059336, 292.95652512971196, 294.43003917402382, 294.9744704817208, 296.54901969443449, 296.68641074112378, 297.2474117891548, 297.83096609115501, 298.94610014316157, 302.46868366905801, 302.71664457448475, 303.23171519382669, 303.91788434606894, 304.50371767123983, 304.97099756206279, 306.50351486611089, 307.66757429684395, 307.97604050814169, 308.68131859064323, 310.15368599075771, 310.65092469094094, 311.0162225021428, 311.18530433989048, 312.04450032818022, 317.7567256056646, 318.31950890963742, 318.83952671778223, 319.26634185958085, 320.69080856063135, 320.81044055046937, 321.92477085130201, 323.56411088425853, 323.96466627262902, 325.41766845295138, 326.74551996855388, 327.29026678911447, 327.86886250946515, 328.92956321040032, 332.35850629167322, 332.66761733839354, 332.98304724746617, 334.72785300859539, 334.88854327226761, 334.93341305332632, 336.59133020446728, 337.27304524514517, 338.57006504926022, 339.57686222011608, 339.60040506944483, 340.0169989322743, 341.62258438722722, 341.88354498432489, 343.81148700374195, 344.07531870397662, 344.26970060277716, 348.2473042128604, 348.87753032491099, 351.51440115931001, 351.77044577942871, 352.73134551736155, 354.09867294154395, 354.22190457927815, 355.47383760968046, 356.86504201634074, 357.79180166488635, 358.46967536283017, 360.04634111119532, 360.44108326707379, 367.6899821307145, 369.00669306020529, 371.71152572083423, 372.84888862591987, 373.98954770542741, 374.91080786362153, 375.11497339061128, 375.29271579925461, 375.74269054453663, 377.40795294944365, 378.7156003111603, 379.52116464065199, 381.66658641837375, 381.68750353678655, 381.94517325607785, 382.29730509177193, 382.43296184447928, 382.74893308039555, 383.20541196827821, 384.79214358057027, 384.92010542039588, 389.05793655994444, 389.30725555514096, 389.65509327227107, 390.01717634304828, 390.21621906714637, 392.92225609921485, 393.48515268559498, 393.51410343745516, 393.6509777138948, 396.46314485786968, 396.74720302553681, 398.13434762520319, 398.59029386653225, 398.86848047071862, 402.97954358083848, 405.1752151807907, 405.77110291733442, 406.75950126614083, 408.40268583540865, 408.63365055042539, 410.02993609792094, 410.1233207414279, 410.89517118520644, 412.72289933779376, 413.05711087214235, 414.16425880553567, 414.45409176680408, 415.39692930747361, 416.13057259014113, 418.09935723165484, 419.23320693830925, 420.25738945422523, 421.95545591741688, 424.52634691474634, 424.88135343639044, 426.73605731987254, 427.64509383304596, 428.42724364799074, 429.59507276621576, 430.22984313070117, 431.50611649444301, 433.02985526816934, 435.49560228014303, 437.00059560993367, 438.93544086508052, 439.7854594511453, 441.88965696039554, 442.47238252034265, 443.61314165809279, 446.38769258513344, 449.20263123140222, 449.94115915416734, 453.9016223242246, 455.40617785623789, 456.20665370129689, 458.49207639098438, 458.53537816029251, 463.52567248312977, 464.69402200006505, 467.30126090795846, 467.32860200142892, 467.92706145049732, 469.48956786604549, 470.69200715157655, 471.35843632794433, 472.29941063507619, 472.95164521789138, 473.56707759202129, 473.65526543406554, 473.82402387653997, 475.93932603026951, 477.17765369136902, 477.4041325760893, 478.00207368554902, 478.22707400311879, 478.36267375974558, 479.3269189932609, 479.40325347243123, 479.43777124808685, 479.62549867302738, 479.78651304050004, 480.3624856419853, 480.66148246872598, 481.89143945400969, 482.90092094426569, 483.35882859897714, 485.47487337101165, 486.67915537943151, 486.88371043424479, 488.05719119251279, 488.1650632479317, 488.2835829287398, 489.61201835103657, 489.86372393909318, 489.91060218180712, 491.35320265952208, 491.604090445819, 491.73156246373651, 493.270466334356, 493.34837826490224, 494.03036737089127, 494.38582739842292, 494.56778315399009, 494.7319268054336, 498.49559437960738, 499.17137813146837, 499.52111522773708, 499.62696805397695, 500.152186686964, 500.20240767723612, 500.54716488476339, 500.60075017517477, 501.61164663567536, 502.21638715929498, 504.50203794041715, 505.30448506826338, 505.48588824567491, 505.54018803759669, 506.92994991031173, 508.13316928973791, 509.69412093438018, 510.13710620989536, 512.67191187883225, 515.4416045016452, 521.16551592817098, 521.83164772149939, 522.16042692806525, 522.33235043074978, 524.54183989157411, 524.76007637415432, 526.12170308798409, 526.69413784672702, 526.76991045334614, 527.54992346419851, 528.44217681542648, 529.48462557562766, 529.64224603776267, 530.55819034788328, 530.72905670855539, 531.70964690553546, 533.17231441250215, 533.55890504148761, 533.76542866466741, 534.80664083234217, 535.10558747883704, 536.80674934679598, 537.13398675262658, 538.36527572513739, 538.56653183739741, 538.64327102928655, 539.19244464751728, 539.7944189343508, 541.01210694462645, 541.4150624959525, 541.6630173701376, 541.81904494860498, 542.09695310587358, 542.48156216346877, 543.27559222526793, 544.02786993581606, 544.38273581584599, 546.78224477512526, 547.67421378168945, 549.00332140592923, 551.46018974196033, 552.83817635388607, 552.91307464951944, 553.40996216016583, 554.86459243490481, 555.67283068674635, 556.00019552414665, 556.92992812721798, 557.02663860915357, 557.80695187056961, 558.35145451823212, 559.05542425890724, 559.39280544756843, 560.5197383030021, 561.89758757494587, 562.7572716074352, 562.89576931010117, 563.72329815658088, 565.50892354127382, 567.10819300168487, 568.45933516347418, 569.63034223765885, 569.71757752614144, 570.27787720206436, 570.53760946440423, 571.98080464884686, 575.6764822589771, 577.21134003019051, 577.71884425443977, 581.91311027327652, 581.97806152617807, 585.82525645628198, 586.84198751101417, 589.16127624447904, 591.59791349705063, 593.79211866678349, 595.00481035975656, 595.02955942812025, 595.51775718832243, 596.20560535950096, 597.79233769114592, 599.8349819328995, 602.60071376071016, 603.5036383254519, 606.17759275871538, 606.27171378417904, 606.88097904627591, 607.95711413971151, 608.04171294858656, 609.8859150462896, 610.01663634949443, 610.40180579705032, 611.11852893535888, 611.48965089716614, 614.17073673665095, 614.94487807963378, 615.90135680279798, 615.96962765375099, 617.92426326177326, 621.42249353850252, 622.99853617316819, 623.08656016655016, 628.54878776502653, 628.60865956034149, 629.3849986217333, 630.12848493258377, 630.23461656246718, 630.41022322950823, 631.95897164923588, 632.01434294745161, 632.16685490599502, 633.59672819010257, 633.93885975297451, 635.24621835602329, 635.49521792377095, 636.22806559996536, 636.51564834927251, 636.81770393036811, 637.33972849060478, 637.44197971805772, 638.41243435803028, 642.89056504870803, 643.78522343558438, 643.81778981308707, 644.12222793325259, 644.69391180035495, 648.44635209833859, 648.5881587876753, 650.18410347020063, 650.25155498533297, 650.49536579525432, 653.58813562484738, 656.05778080133882, 656.65985850244692, 657.17830553196939, 657.73339353152357, 658.80891375290832, 658.87654785042389, 659.94568951068504, 660.38796943069565, 660.46984696900256, 660.73285775597378, 662.87731782752087, 663.63762786774453, 665.36187003965733, 665.65874723310799, 665.75671351377696, 667.46530733238626, 667.92713050113264, 670.04574514555122, 670.11448488226154, 670.49273738227544, 671.17655484194563, 673.32350880374725, 673.62196343519611, 676.27384925778756, 676.4962904238165, 677.13370831216332, 679.11163271770351, 680.92209240971658, 682.59751454214381, 682.81380052851466, 683.00897313455835, 683.88916870225478, 683.94585103651389, 684.31071505369914, 688.13732677801715, 688.99099878110474, 690.02269964185507, 693.23087703228123, 695.59843120714606, 698.17887717654605, 698.60341542403046, 698.717445927879, 699.22993745995791, 699.48726927123369, 699.56820424663601, 700.27085777035711, 702.36018912855184, 702.52582820402199, 702.59660491157683, 702.67582180271063, 707.06850146220836, 707.62260809505278, 708.61008456623949, 709.93093450198535, 710.18972931559153, 711.4158401780802, 714.72469122582663, 715.39322574855873, 716.8087404036055, 717.03699248298722, 717.43302463677719, 717.64137561275743, 718.02998147801532, 721.29957800300474, 721.67198759988241, 721.86411257449629, 722.71211850844588, 723.12071984145587, 723.6154996979933, 723.80349884234818, 724.04459234022136, 724.679633776831, 727.91097429304523, 729.10899298253469, 729.48773723810461, 730.05509796578872, 730.20475450277149, 730.64981068190457, 730.99520208506112, 731.84591454084023, 735.90367652521411, 737.91253078868965, 738.20821986062049, 739.41433701940059, 739.4913366050954, 740.48333772540457, 740.91394981290694, 741.45809499287395, 742.1625655968553, 743.26223605429993, 746.12059990401292, 746.15344018668156, 747.73097996101944, 748.69357447237439, 749.24535807583914, 749.72873721861356, 751.06338393905185, 751.80466311491307, 754.67210236554888, 754.84366256737326, 755.07063845552022, 755.46628340812629, 755.96281364909976, 756.23542290335604, 756.83729716031496, 758.17551078636984, 758.77486729189548, 760.23175618148912, 760.35226614822739, 760.90156843897205, 764.69509446548057, 764.91470023547379, 765.20561943330722, 765.50873673791045, 765.82649165873534, 766.49047348039119, 769.06159545498167, 769.18866209178884, 770.03254718442543, 772.39141121105217, 772.4688052757524, 774.84506787754265, 776.14924889619738, 777.72149238061309, 778.12268058580094, 778.148043864599, 778.19862517937861, 779.0662670912194, 779.10100165323252, 779.57762888584875, 779.84762101111676, 780.03403448494385, 780.51310679195205, 781.85278239400645, 782.13523047142633, 784.91358909401811, 785.19455076822794, 785.61118187456827, 785.65480659093191, 785.80296084404063, 786.60045010094666, 788.20050489120501, 788.48684395968496, 788.52695898235322, 790.5147758389744, 791.52221300833173, 791.87332070932268, 792.24165296114654, 792.35209321192281, 794.7388646844804, 795.27454806385833, 796.53418444279623, 797.06611040125813, 797.30456012973457, 801.81366656596947, 802.70483166087308, 803.09884432296519, 808.61771711931158, 813.29923633485885, 815.27239881687365, 816.3404674521579, 818.15461351238287, 818.79658455322385, 820.29811154424192, 821.804727810229, 826.88094712955728, 827.51533040396282, 828.42325087351344, 829.09321848453328, 829.93510646088714, 830.95014664471637, 831.28525667695646, 831.50735639310005, 832.51691881121383, 833.64241447795041, 834.73541780140874, 834.88226317030569, 836.16069644944741, 837.10962600322705, 837.32964587978574, 837.94277040173779, 838.02727576664495, 838.08396169233936, 840.93847811660316, 842.80382526597111, 843.00165861285916, 844.01590815312557, 844.28008398443865, 845.59356956320494, 845.90463859658996, 845.94811965319934, 848.7268472336076, 849.70651551396043, 852.14168523661965, 852.68024204445487, 853.54079670167278, 854.95198525190801, 855.60161962780546, 856.73989681573858, 857.77822611774764, 859.99048249818338, 861.34023102656897, 861.6266293488552, 862.28427162660296, 862.70417360748831, 863.05705894326309, 863.34577730590718, 864.17076530502186, 866.04090199507004, 866.80431014938097, 867.27550130219913, 867.3593133943881, 867.88119446788426, 867.91951607329395, 867.94472101482211, 868.17656793202957, 869.44934244746094, 870.25592902880271, 872.54083735908102, 874.4884248325302, 875.16571736212097, 875.97703097422482, 876.51715894558936, 879.24112805763343, 879.62688095039323, 879.81113933538927, 881.93029701094804, 882.44922145956002, 884.47973713150088, 884.71023539940813, 884.75497090315253, 885.65118581890363, 887.77153612234372, 888.04116165563869, 888.124220141112, 889.38306791271634, 890.19128656010753, 891.67568105324654, 894.32275916845788, 894.74924358226724, 895.64762222249715, 896.35558035460269, 897.4405745700335, 897.71717007529026, 898.81879904986067, 899.08419044815037, 899.24243385970806, 902.2115585304872, 902.88489816428341, 902.98622206940138, 906.6362609247908, 907.17170893416483, 908.78895558772274, 910.62163202321335, 910.66322898144153, 910.97784730047647, 911.51718829145443, 913.46552336651723, 915.13108645772866, 916.93966011444672, 917.9250550773329, 918.08467224123024, 918.63195882371008, 921.77763368204228, 922.8752754184278, 923.55593961837837, 927.61437730380624, 928.53638032193362, 929.68305497461949, 929.79009014946655, 930.10222247271849, 930.85710760695861, 931.69900553063565, 932.1288791382259, 932.60647745280357, 933.91734674820907, 934.79879135719318, 935.16439330717787, 937.00791192500765, 938.21376580261972, 938.38526035508664, 938.98856549742061, 941.3978410171992, 942.30179128642442, 942.73259085830375, 942.87724821617087, 944.53313524525333, 944.56000321302031, 944.97083611938569, 946.91533023247712, 946.99393718382669, 949.37579164618978, 950.19677293608777, 951.16927053551058, 952.31256756827111, 953.71472069597303, 954.62030998021726, 954.65919596340586, 956.47411696836457, 956.60885382818935, 956.7253268414438, 958.04191509720556, 959.55514933292466, 959.6699698654877, 960.4467768829677, 961.05187729283614, 961.28852044364044, 967.59909479622945, 969.59673641766085, 971.42688770990253, 973.6503239116746, 974.41427630444196, 976.33767897867574, 976.94825966591043, 978.87501711124742, 981.42859597932136, 982.85028020632603, 985.19805348996795, 986.0118480739892, 987.57890832005683, 987.77782229739853, 989.39495100314844, 990.29837614909115, 991.08668025589293, 993.73164315818212, 993.83898547639831, 994.35158597365205, 995.60268184556924, 996.32608910329066, 998.25206511091017, 998.48143413004289, 999.95195171714465, 1000.0743882117512]),array([92.453417368109456, 94.314823042737416, 95.112555558318235, 95.95047083271136, 96.201393592730355, 96.465128487293597, 98.480315347671805, 99.218111156648746, 99.576862694891162, 100.95623745687888, 101.02704677626731, 102.35011513488224, 104.42429375825267, 105.42404882475849, 105.48328647590466, 105.9599440469871, 106.85922768476539, 107.43382564107193, 107.54670362783368, 108.16407590550966, 108.23326085996293, 111.87749661689783, 112.84185282725463, 113.01874719674589, 113.66554774948216, 114.0605726253889, 114.79608790761179, 115.28842995762389, 115.98502932279962, 116.67432450020006, 116.71785078577582, 116.82779380850087, 117.53370026229301, 118.11648179846078, 123.60950167150604, 125.77531202013097, 128.82631100159941, 128.92009541577363, 129.03608180537233, 129.9908231892403, 130.41965721448085, 131.67993497421202, 133.12145197811873, 134.29382837168066, 134.74097717846891, 135.90610110585791, 137.09518483904324, 138.40475843644262, 139.20288226969984, 139.78460808306446, 140.78602367193685, 141.71440042301074, 142.2037614940464, 142.85511915203369, 145.39405763203351, 147.86554438317265, 148.23505851076894, 148.83497299716456, 151.6536357948707, 152.2579752796708, 152.59493973818718, 153.68273364601296, 153.83209906324578, 154.78109071744498, 154.97419541003021, 155.15387077715641, 155.55661870866697, 155.67012730347057, 156.80703278363734, 158.58554893096837, 159.66211677722902, 162.83084192295047, 163.55266667843352, 165.35159434444898, 165.54732174932454, 166.11017672989445, 166.14192680911594, 166.41059145036127, 169.02590794053049, 170.24920736275888, 171.46578367046834, 171.54637985061706, 173.21711199232445, 174.08975790082229, 174.27090602132469, 175.4168234213721, 176.50925157203298, 177.21351587052337, 179.29398400006301, 182.26804366116281, 182.62409416781213, 183.52231700901481, 184.89029137498781, 185.62695994961544, 185.71709488377471, 186.24509306037396, 186.84192755731524, 188.07743355438853, 189.49279115538513, 191.09263942633837, 192.21698968696143, 192.76162857031562, 195.78016566422602, 196.7684705812066, 197.41173824723521, 198.28071430080271, 200.66697304229328, 201.77222968248671, 202.86181752004867, 203.55980700408929, 204.52577492776803, 204.78178882228042, 205.37404251828042, 206.9710979667658, 208.12032820579191, 208.30202574900576, 209.6704547958866, 209.95016792811398, 210.18655319394537, 210.82943445125974, 210.91089424445434, 211.8019189497507, 212.03827621669987, 212.07688944330712, 212.20050079593628, 212.9733541213368, 213.35606334175523, 213.52295114067962, 214.11696765991115, 214.21155390655068, 214.55864266000978, 214.90362612408018, 215.01218988357363, 215.72749980126522, 216.25611364651726, 216.63247474984033, 217.54267844414866, 218.26133750562005, 220.46826782966488, 221.17413756035984, 223.75286911351282, 224.17284764949534, 225.47412606304428, 226.45800745572592, 226.70854105888822, 227.08475056617121, 227.38881965530561, 228.14915493967885, 229.04079668843136, 229.38082507611358, 229.46385910370293, 229.72662685714124, 231.46391636214685, 232.65143698626463, 233.73088505276877, 234.70865418320966, 236.01434177007403, 236.92053027929686, 237.92012096198047, 238.70016547722338, 242.89252502773792, 243.05996666121857, 246.48380813224341, 247.46650600466657, 250.28230947028726, 251.10255366745935, 251.93702163927989, 253.5625166108409, 253.70811943117224, 255.10904048314799, 255.49830666390389, 256.99359079536259, 257.87556142806858, 259.11295205102971, 259.26572370139957, 260.04307287844409, 260.33472624979925, 263.63921985898185, 264.93351815284029, 265.17469642752008, 265.63067354886743, 267.22087865319577, 267.90922679747365, 268.53509991705886, 268.84163755164337, 269.18534534271276, 272.54290525667699, 277.91896310495116, 279.85019648099353, 280.83920132488356, 281.32749946796395, 281.54669629510937, 282.0760578664499, 282.13553719882907, 283.39819380784661, 284.97473646043358, 285.96691175294967, 287.34289298459311, 287.8411528590911, 288.22784128962644, 292.18459193777335, 293.23511998803775, 293.39769098236462, 293.535142617004, 295.3507722866089, 296.35551849617138, 297.56827223618649, 298.35767584839567, 299.42216623121703, 300.4635160223429, 302.65194083760144, 303.67309153806985, 303.7787672420659, 303.80580939640566, 303.84945250079363, 303.99856158184377, 305.51604117170655, 305.99936285033505, 311.00318029069956, 311.06757867921476, 311.43849460772026, 315.61962126259783, 315.82746071863664, 317.17048282642571, 317.55956363111261, 318.18659629261464, 318.30085935455497, 318.43755950641491, 320.74188474118125, 322.3600119514461, 323.07930614405149, 323.98394038814746, 324.08487059649195, 324.31781239000077, 326.68417715073957, 327.39102611796744, 327.8216457553076, 327.90313405885223, 329.66176534717533, 330.86023497256269, 334.0027773306835, 336.31772509646112, 337.70298685453258, 338.45075201287068, 338.87345571606227, 339.61032924839515, 339.89368052664696, 340.52452890562455, 340.63731855729907, 341.58068942364872, 341.67194985514709, 341.93126899383674, 343.80156739160702, 344.04014890522996, 344.36757309409325, 345.06209464072077, 346.24871305032593, 346.81902360283414, 347.26300150451732, 349.48496562081812, 349.55266945021867, 349.6916190041012, 350.53889947811717, 351.14969549375201, 351.99099972178948, 353.43140276944933, 353.95777946037953, 354.82838878280404, 355.22067218880397, 355.82550273587105, 356.14121694818311, 356.43958325574488, 356.58129242794371, 356.91529982771522, 357.05441862406417, 357.12596863353474, 360.20744235216102, 361.73949864898447, 362.08248704375785, 362.36025143140904, 363.29240912852504, 364.71233437468442, 364.77251134986989, 366.1316426096696, 367.76167335820571, 368.00441393447625, 369.94330526047224, 370.32903871635722, 370.68154197782513, 371.21565856103337, 371.54735797166751, 372.41341816143563, 372.97308998380822, 373.12635900361704, 373.20514099531766, 374.04289748375078, 375.38339862744829, 375.96678400451754, 376.19160485823159, 376.80818932892447, 377.44869779523856, 377.73756324247029, 377.77393623997131, 379.92574865745871, 380.25318791987854, 380.45519408118491, 381.00480504913673, 382.47341378487886, 384.30475925023342, 386.52460864390616, 387.77726030118566, 389.56620297792546, 390.72235358149265, 391.59957508321941, 391.69017144887954, 392.98844386258577, 393.01927171279408, 393.26019806723838, 398.48221705267116, 398.57501313685856, 399.62272901445544, 399.68244861539938, 404.06231225568314, 405.04182890651043, 405.32417934892817, 408.26969020313106, 409.77988088732093, 410.57015356935051, 412.72440573247388, 412.98420247104764, 415.02761321883224, 415.88111722316211, 416.28651834002028, 418.4402153952517, 419.66700564420228, 419.69503559379137, 424.04015542112984, 425.01503248080775, 425.70228621385576, 426.78883527615773, 429.2027677225945, 429.57970790465691, 429.64342956474064, 430.74300411455056, 431.01048765149926, 432.26556587045644, 435.28566525543613, 435.52214853742987, 435.57248693270697, 436.33813865953317, 436.77404698284664, 437.61938862131899, 441.1783249446122, 443.08381768725837, 443.60667801063454, 448.74539054731031, 448.78435003444025, 448.84424795476428, 451.92894649378809, 451.97827991881564, 453.27290027729583, 453.62792311243481, 455.76251068757563, 457.66364285433639, 458.1528418052859, 458.8123090518784, 460.10588171577223, 460.46014549344966, 461.54832503870807, 462.02247717420681, 464.48384397757695, 464.59737173070727, 466.54735870287664, 468.95048571645088, 471.99950640427318, 474.72777187004937, 476.01501926006392, 476.79967652178618, 477.46255508812897, 477.63657947420381, 478.84974071811689, 479.37528095259, 481.27652551720763, 481.35591540670845, 484.27318491822678, 484.57553872115113, 488.96094595930998, 489.0505181809861, 489.67700694461604, 491.22791646149915, 491.2926965331535, 491.45096236609891, 492.94563368276499, 493.44516303952986, 493.79913446406169, 494.22313997708608, 495.25705681640829, 495.28256673098326, 496.0303962454505, 496.9970497324, 497.9832775854195, 500.59560863956835, 501.27821081580794, 501.58887728613917, 506.03455179126132, 507.40426545546859, 510.61907712828349, 511.47862764912753, 515.24195379883486, 515.76913539635484, 516.37459762838978, 519.50899959566027, 520.2279118288061, 520.43327145129342, 522.1030211114338, 522.16559099329572, 524.59366918299361, 525.61787740640284, 527.2564118898099, 527.79467890083026, 528.6059121172708, 528.68371500163039, 529.88562849667858, 530.49697387406195, 530.74622251386802, 530.81722999781914, 530.99918748661435, 531.35575466579394, 531.63724099999865, 532.21697059664211, 532.50145925316917, 532.58925371189787, 534.58368316830229, 535.26831740463149, 537.94807249825749, 540.52405921073648, 541.09248512124077, 541.31425772041621, 542.66834950801353, 544.12627066894913, 545.37844064213346, 546.28134323461666, 546.38036684893393, 546.84786955794846, 546.90070185924799, 547.79137696857617, 549.0839729204057, 549.69862264936648, 550.76398358819449, 551.08251066129435, 552.211982933645, 553.64314289184165, 553.95469697544775, 555.45659950989716, 555.96870967016366, 557.13245754718116, 557.20038741137364, 558.84620268594858, 562.2405044481626, 562.92387499883421, 563.04612831679708, 563.1420735233495, 563.2878220417831, 564.57853085478177, 566.98605692823003, 568.14869526819086, 571.33098714272523, 571.55714438539303, 572.33399693611898, 572.38008993802589, 572.91871546296966, 573.01141633969553, 573.46661113137236, 573.93957030617196, 575.90972149174286, 576.22341538261753, 576.46344988922408, 578.65360410315952, 578.68977056117512, 579.3312833759436, 581.65407608086446, 582.03515107398994, 583.94349456771067, 584.32927062123076, 584.40058934816125, 585.6010277180161, 587.82466357370311, 588.818960967615, 590.75772968515673, 591.09166068078912, 591.42651073693742, 591.95876584450252, 592.14769913949851, 592.76232654066882, 593.0279341506407, 594.98771124946813, 595.33993310378867, 596.11020903598171, 598.08417271205315, 598.37740313218126, 599.67862894244558, 601.94941052266347, 603.44194614319542, 603.53904547023149, 607.41123006659848, 610.5305842129103, 610.65861897347554, 610.85658622520282, 612.87667700053908, 613.37900749451956, 614.15035197629334, 614.64290361032988, 614.68917358046042, 619.87336998742126, 622.12311617728903, 622.19384618146159, 623.25770727326574, 624.67683675334558, 625.65324163895082, 626.9066853338802, 628.29325647855319, 629.37162225625218, 631.10534006574244, 633.63630866213441, 634.34824018557345, 635.6020412802302, 636.1054265978596, 636.424499534245, 636.51702043288083, 637.532405418493, 637.79253278724593, 639.28474623514228, 641.58140180534986, 642.2347528820145, 642.69177668718748, 644.51829721046806, 645.15555365087403, 645.45201377962394, 647.47013189829738, 647.84790563829108, 649.27907165458851, 650.01099088185356, 651.76823842192459, 653.54145056594018, 654.87645770053598, 655.29330775329606, 658.86432547138099, 660.27815245463546, 660.75387633232936, 660.9712770362604, 663.04517218454623, 667.0481986855599, 667.13236105332646, 667.20773346405156, 667.40841936947334, 667.93246010046641, 667.98272931873282, 669.03335375827805, 669.67438972586217, 670.18421464099595, 670.38812527003483, 675.06430892149365, 675.2722782854039, 676.22009248454935, 676.59190370718375, 676.93008659940881, 677.26625981175425, 678.37059944364898, 679.58025718816668, 681.1059946367601, 683.40423740940628, 684.20623259294962, 686.10043113386791, 686.68281013582566, 689.62030268954129, 690.75591250147863, 691.070510349811, 691.09431719637814, 694.08334390002983, 695.28402553998274, 695.56644844024947, 696.18215031191767, 696.97971603349504, 698.74441988510534, 699.87546671762732, 702.20084999871892, 703.08630596524642, 703.22533884533277, 703.70041173031109, 704.82274861163489, 705.19784167373223, 705.30141738063026, 711.1271574883516, 711.18805550034085, 712.05119119455094, 712.30876800033354, 712.51166659661817, 714.22621639267084, 714.45289830802403, 715.55400603251212, 716.48615319218129, 716.65101393089162, 717.07942933400329, 717.425413404663, 717.84819823600026, 717.87738960639194, 719.2666668088026, 720.209167385667, 721.4955987293788, 721.59727668326411, 724.13196434683834, 726.04145729864183, 726.446166615268, 726.75311382893574, 729.12796307497024, 729.76894236298176, 731.56589720914758, 731.84943953518393, 732.89033570188747, 734.26269598706335, 734.61241123355751, 735.02797886730946, 736.36874483681606, 736.49253526495966, 737.72523832023251, 738.59649909778932, 739.09181362206175, 741.64427379526762, 741.89828297052134, 743.38347814593362, 743.42183250412666, 743.67614678295342, 746.22607639070475, 746.70703793714392, 748.38540264139078, 748.67181352462092, 749.20321775510968, 749.6258698116809, 749.65380769910814, 751.48728635067027, 751.74885667448018, 752.40366152359309, 752.69954877319219, 753.00855400406658, 753.58178596404571, 754.54957798615965, 757.25484092263162, 758.22017229752953, 759.05525790124045, 760.65693915024917, 761.6595470344746, 763.42481142356962, 763.57325992739527, 764.71893608067421, 764.97488670998121, 765.5190645903881, 765.94387797155071, 769.67756203279419, 770.54729506319075, 774.80900608182651, 775.97788167844078, 776.71967692078249, 777.298059328455, 777.36590388735772, 778.1044140924987, 778.8522891298968, 780.46893850106994, 780.68119846457864, 780.96688758956759, 781.52465682411525, 781.59427506719362, 784.73483628076508, 785.53884586712911, 785.77481707949835, 785.84878313495472, 785.92337122381696, 786.09632474994976, 786.21027204174561, 787.56101041407339, 789.93568406157647, 790.47917129434302, 791.49383578337688, 793.29059399717892, 793.4966306888515, 796.19884007300129, 797.02981702468549, 797.9938423220583, 798.44973260044344, 798.86386096961951, 800.97343589736681, 801.52586343022517, 803.0827700870957, 804.64822285217417, 806.7332786356493, 808.01298519531269, 808.13713365787862, 808.7887096498024, 810.34030313744802, 811.22767538783614, 812.06296498385143, 812.91415353760556, 814.60433427919395, 815.81451505508142, 816.27595489988119, 817.08723182946937, 817.39007853533724, 817.4559222254843, 817.8162360859103, 817.87626333965727, 818.17690338334637, 818.94935376451883, 819.3717393521423, 819.40500445839029, 820.90318814515706, 824.97478267037661, 825.44893633500305, 827.54183282459951, 828.18416058914784, 829.55950698345782, 829.71649737112023, 830.15807431436383, 831.36422182810315, 834.15378798404527, 836.0566689951678, 836.38013892245931, 837.48933164511664, 837.87911048547312, 838.42362588255571, 839.64635167889537, 840.19970535262826, 841.54196338738154, 841.92457046944696, 842.02675708983054, 842.79744987234506, 843.70536996142732, 845.53768416325568, 847.04351843849474, 848.58471925173114, 848.78528098871652, 850.78446243406404, 850.99718023980927, 851.3224556291724, 851.82106861868374, 852.71281353008658, 852.86927534320068, 853.35609381673157, 854.76882256934778, 857.08874616841069, 857.14899524248665, 857.19046563420977, 858.15075356873854, 858.62052861455606, 859.85535131966685, 861.07375104495361, 862.90382688262878, 863.77623712705577, 866.90655088998415, 867.25385551397449, 867.68157263257149, 868.38273713840329, 869.08998248673186, 869.28119876564608, 870.50138833667654, 870.62474525432162, 871.11068135353992, 872.07470942616794, 873.88364970243379, 874.05109409022714, 874.99640229751583, 875.40880449860856, 875.82351271719665, 876.16238751505352, 880.15656599235274, 880.53579679479333, 880.81534654858058, 881.26402426197535, 881.9639285194379, 883.93676394306829, 884.7344946652463, 885.67859090021409, 886.8792354374541, 886.98108539605028, 888.6962251496966, 888.99027756464557, 889.10691307498485, 889.86281931664769, 889.94962871084294, 890.30038108944507, 891.73108884645967, 892.02235279491174, 892.33998704079329, 893.42093057893362, 894.04982705160023, 895.80102916360647, 895.84936948748486, 900.24297031182834, 900.88772712873777, 904.43647294152743, 907.29260230935586, 907.74145822077537, 908.47083132601051, 909.32174710386857, 909.84365479124892, 910.68083942527653, 912.50703068367761, 912.77930278426072, 913.15400982408971, 914.02888328366384, 914.43139360113696, 914.48860096862427, 916.31402132962148, 917.39697447165247, 919.3757251833548, 919.70123418138803, 921.79383333089106, 924.34465827444774, 924.48769520011399, 924.55244171633694, 925.61418000745994, 926.67224260951059, 928.10202641651051, 929.92113555655192, 931.1599299064336, 934.2453845893906, 934.66994667840117, 935.24444257243397, 935.61834360677153, 936.32533694312042, 936.4294236794816, 937.98937662653816, 938.66537393683825, 939.16534987876855, 939.43147998960399, 940.75267099129496, 940.96635720955555, 941.5110386380569, 942.84326590722196, 943.41931790583658, 944.36346330140134, 945.6437802971094, 946.0700774419405, 947.11949822487406, 947.7013295414896, 949.29714601571709, 950.03012914090607, 950.25734244883438, 950.51879148028013, 950.91894610167446, 954.33391026025697, 956.22150366471021, 957.1935397340626, 957.72181168029522, 958.25721845317139, 958.49014012898556, 958.91920969301384, 959.1751315874186, 960.95394003368256, 961.08327026023471, 963.15173278134353, 963.85926449109445, 966.43926004757327, 967.06610098252827, 972.34423911198178, 973.96548050079298, 975.38940544396246, 975.69515546504022, 977.01928147662716, 977.35931389936911, 977.38127919402541, 977.46805798650996, 977.69087462237394, 978.93225874919642, 982.45229389449617, 983.42018176850092, 984.59106045102078, 984.98585467025805, 985.05121480163155, 985.26836489740447, 985.35123034434355, 985.42321149424447, 988.92619972627256, 989.61291661405824, 990.60227513947984, 991.94629516374596, 992.00473867524454, 993.2289039756464, 993.4411761291384, 995.83760607998488, 996.05786422373149, 996.69317946476531, 997.74447817438408, 998.43019780754605, 999.80253343950005, 1001.7347199606049]),array([40.726397283616933, 40.789602342456789, 40.869572772591781, 41.147052676855417, 41.378813402653719, 42.299843205346754, 43.785731543193414, 46.733284732928368, 47.31927428733885, 47.471753326019233, 48.801005796236069, 49.905000017483339, 50.538720369635705, 51.758093424726937, 51.90349882157814, 52.877755863298717, 53.006527421672985, 53.036629550266582, 53.06027928689312, 54.248060257440237, 56.067261334854003, 56.358440874711427, 56.791425859170374, 59.382380705040077, 64.490392582474428, 64.524060798357453, 65.555281624143745, 66.410131992729546, 67.353514428899132, 69.30272307650722, 71.37919128821963, 72.140582683644737, 73.178396801577549, 73.893607322875127, 74.218128084495149, 74.676857006049303, 75.940986679130461, 77.981559276612032, 78.817680918592202, 80.111944452801097, 81.014758813703281, 81.221265948237047, 85.320992600013923, 86.400838642313801, 88.707114290492626, 89.526165433936825, 90.039702695432482, 91.283362289221415, 92.213277509311979, 92.374998257004464, 92.70209886874008, 93.35485546564253, 94.686195657981003, 96.315782454473023, 96.619397417724983, 100.02278120221816, 100.72719143137611, 101.60281192510851, 103.50650239204995, 106.53868473108861, 107.40368927787245, 108.29207056362499, 108.90021582209587, 109.67269157121525, 110.43875691219996, 111.08993087008184, 112.81466452454974, 112.96974271645321, 113.54807284446638, 113.64858620866278, 115.42496153553996, 115.64990332085772, 116.09030651883438, 116.58222317627401, 118.69317897510957, 122.14216794213739, 123.45743989671298, 125.11593250418835, 127.48767448359548, 127.86750036763597, 130.0436806290914, 131.021963891967, 131.36020262489674, 134.9328481393957, 137.50526741507937, 137.71053650481866, 137.90389009367007, 139.09158633056168, 139.42298762497512, 139.64325511040803, 141.82526458031541, 141.85818295078565, 142.15210043704124, 145.48810160839835, 146.11850403142802, 147.91922830186394, 148.4159786905997, 150.08767307452479, 151.00183489713666, 151.30714748719248, 152.75952806783317, 153.63018418082385, 154.91443435263199, 155.70500040099802, 157.17944585838063, 157.59640463185121, 161.1477500693945, 161.49027802338043, 161.77161537926304, 165.2708859518799, 165.84382248090998, 167.42056298902534, 171.66335701126502, 172.2521019278052, 172.39909670119818, 172.9950520552629, 173.88582991512129, 176.10402351037379, 182.58978708368514, 184.092178181625, 184.59604808085726, 186.5022348986291, 186.57186316844914, 186.74992758045641, 187.62789704218858, 187.71432635728573, 187.78881716368952, 188.63191609584416, 189.03444027855403, 189.48663573949227, 190.32771127839234, 190.36504338913136, 190.39706124121111, 192.13167310265598, 193.88735966485609, 193.94161266496366, 194.42257750271017, 195.57552045630524, 196.31307227543334, 196.60417050686743, 197.66478453136509, 201.02127670565827, 202.41558731095972, 202.56534948247179, 204.63878163689131, 204.94770925288296, 205.03026199824336, 205.05063328964548, 206.40323290853783, 207.46603248612121, 207.6466346112795, 209.50709678112477, 209.6915868743379, 210.51372582767664, 210.6145669757064, 211.57505452309391, 212.50066631108535, 214.13831517872549, 214.39958353812358, 214.43537077930938, 215.05112313175746, 215.43540298153184, 217.2866129252842, 217.95736554908132, 220.2469688788857, 220.63653428185754, 222.14845418081188, 224.26893721551011, 224.93381154445029, 225.59434467919795, 231.02999584992855, 231.49888055698568, 231.87187343054444, 232.41463716962568, 234.86466538532352, 234.96031578726755, 235.35438832505682, 235.99221387118027, 236.90306301364839, 239.29721873696693, 239.84457136788672, 240.43396850178263, 242.11086708627636, 243.20672375282072, 243.3323893283727, 243.47925723543474, 243.73736548598188, 243.97341384941623, 244.05206590916364, 244.68595115592655, 245.00121533052109, 246.20639128086674, 247.59004795765452, 248.23865027050476, 254.50807656126142, 254.607568573381, 255.3553169093318, 257.49559493535378, 257.72271780470203, 258.76209358518446, 259.15314234991877, 260.27199447174684, 260.90012661532376, 261.95620926947993, 261.99482298426017, 262.71286421716263, 263.98233443791321, 265.28738138146235, 265.86553575111031, 269.7363481367945, 271.39344196187074, 272.05705466890623, 272.09711020476232, 272.18116725461465, 273.11932905244385, 276.71459221083694, 277.32355471967293, 278.06772027207461, 278.78534920215628, 280.28147074235073, 281.39051954102246, 281.50443046742788, 282.15821116524722, 282.72517736923191, 282.80240753088373, 283.54478306580643, 283.83587094372837, 283.96474866332278, 285.80012746205074, 287.38797512301647, 287.89293725576852, 290.57783614164219, 292.15595555814707, 293.79812569051046, 293.97072025351207, 295.07430541632186, 295.55489081253546, 296.00585900770608, 296.15114579924352, 298.03021495067287, 299.26512246850336, 300.02173218425088, 302.40271239439124, 303.67623070541993, 305.71512375402148, 308.11111668804256, 309.21732229252649, 311.08700010232059, 311.58611262086305, 311.71601527575302, 312.06452794661027, 312.13319284467974, 313.57755224431571, 315.63211615682241, 315.67703283990113, 316.80648555897335, 316.9737228303465, 317.6960038869741, 319.43196085220671, 319.89233068729783, 319.92265583417606, 321.19253542227489, 323.39034151535969, 323.79790393822213, 324.57829821080202, 326.28072509557876, 326.93169739982216, 328.41754084439896, 328.92365997927539, 329.42452312869312, 329.75756429022022, 330.10289228302753, 330.85131597976738, 334.05516458233456, 334.35233004375351, 335.01229929988028, 335.56992131592392, 336.70854600085431, 336.92877552306021, 337.85258490686186, 338.36796384456335, 338.95727437807449, 339.5679995145652, 339.91109763015521, 340.07091281725565, 342.98513417203338, 343.05938422771879, 343.34408914395385, 344.0901789174909, 344.8658592352246, 345.87617055184506, 346.09095587861992, 347.22429113493916, 348.29657869782932, 349.27517924016587, 350.51705039828539, 350.87036846318978, 352.12451093620717, 353.23211583908488, 354.47331046543928, 355.45185778885991, 355.52244648343697, 355.9030259494163, 356.95640207515243, 356.97717161298101, 358.86742461757183, 360.90115490141659, 361.45696588531973, 362.71573765374217, 362.89666063136326, 363.93466063129767, 364.36883635324415, 365.36784015389901, 366.50781039312295, 366.76368818020262, 367.95886843936307, 368.39252782349524, 371.52890580825022, 372.33055206546629, 374.30511586894329, 374.73827649699604, 375.83840687916313, 376.44864111951796, 376.67018505777645, 377.2461278944815, 378.53380447309343, 378.61807720868256, 378.78003576856958, 379.38365414107534, 379.85180162734974, 380.66725183753101, 381.25754515990582, 381.61629869930817, 381.85497371139434, 381.97361970670994, 382.46539876363101, 385.97005218145546, 386.98297388263848, 387.02429829795727, 387.64941312997939, 389.49084931562305, 390.43409532145023, 390.73230483691526, 390.92091911557179, 391.28448504914246, 391.6580960541159, 392.62354621253871, 392.74186583702055, 392.8423944927448, 393.80222609304354, 394.4664384377578, 394.73615903546334, 395.91192918530055, 399.75017322177848, 399.96763522076731, 400.0537145139329, 401.70575564399707, 404.41471101882394, 405.02112306823619, 405.36371554936738, 407.08212873015322, 407.68221858889029, 408.17530561773299, 409.16543959062426, 414.38443985235648, 414.67545170708939, 415.4638886608696, 415.51330871818419, 416.60704201595064, 417.81154407302222, 420.83693847104769, 421.75265591888933, 424.81578562936835, 424.91447160509819, 425.3413401402097, 426.94259922730276, 427.71559852150602, 428.58311153915685, 428.83848823603398, 429.87579462680117, 430.60777464687737, 431.58725450454813, 432.82758366478049, 434.35947377568647, 434.94049282045654, 435.19796055679598, 436.08742336500444, 438.54019850074923, 438.67228181022716, 439.25257486137792, 441.83235728992042, 442.1316291239832, 443.1251511375898, 445.45698295317311, 446.13992144264654, 446.55718676035724, 446.81933670541309, 446.84450496630893, 449.35068048727186, 452.11904536259431, 453.64510504305395, 454.35935702822786, 454.63312014459183, 454.78584382092185, 457.69376725053371, 457.72464470127568, 458.2385025640358, 459.15362535553817, 462.09920747547329, 462.2478192618363, 463.23229734186248, 463.48763598775759, 463.99211412469509, 465.79337297516253, 468.80668173027186, 468.9668350632042, 469.75889660905523, 469.93817856541358, 470.03189456431608, 470.56574884982928, 471.46135037439382, 471.88191047124531, 471.9128152313769, 472.41842049521546, 473.25684083374244, 474.68080225629842, 475.67162676245476, 478.72057273908814, 481.67615035938428, 483.1118508736235, 487.12350020719941, 489.77824309599742, 491.0162026824496, 496.52795518228334, 496.77731636298756, 497.72226051517828, 497.89846514191601, 497.93515315132998, 498.29280882312639, 499.92154409530889, 501.74338923590517, 503.64059371563837, 507.1112876683207, 507.75947129928591, 508.33630411993477, 509.2611721954828, 511.12973893137649, 512.17595650339058, 512.28696519585867, 512.89865298481061, 513.44524431888749, 515.24901810509482, 516.5870239768459, 516.82668472953674, 516.95243100993832, 517.56832854592221, 518.11397251149219, 518.40039767768405, 519.83253348137305, 520.22551820067577, 521.38838682026096, 524.87406795035008, 525.05944374539251, 525.33855806186625, 525.40279491814943, 525.95073375436516, 527.96986442369405, 529.48999745274625, 530.9746893776969, 531.51809469494174, 532.24174201173628, 533.18874441003584, 535.13119065409501, 535.20572476450923, 538.07923559530616, 538.457450799443, 538.61639074002676, 538.87851201521153, 539.7817625673282, 540.97441199647085, 541.70463884885157, 544.04633372647618, 547.01579595982116, 548.85271689278272, 549.78201788052115, 550.09412313330085, 550.78908035088307, 554.05994626098493, 555.74490798724389, 556.7327593652409, 559.30922270938083, 560.3495337426682, 562.80400257013662, 563.11612170340686, 563.1734178402312, 566.04026444973954, 567.83584523532227, 567.88321909273225, 568.55138541644453, 570.55773301801241, 570.75342837954952, 572.76063751903826, 575.16663326919377, 575.44638076744332, 576.49300725665796, 577.70665483365428, 578.44302526172021, 579.09241964163573, 581.21848717989701, 581.48216861605044, 581.63601934633778, 582.10846484046999, 582.24675922550034, 582.32791172630573, 582.68357095518866, 586.1743290570779, 587.61591298951828, 588.27709493059342, 590.52799725664511, 591.03907578048029, 591.35390791533621, 591.82818375756915, 595.86556709648607, 596.23927661411653, 596.77632588725396, 598.97322740305503, 599.33098324683476, 603.06703643696221, 605.38022763040635, 606.67268709934581, 607.87534541519426, 611.50719771306819, 616.26723102532503, 616.39707510570838, 616.99054953329005, 618.25641176567251, 618.67445735572574, 619.41889399035222, 620.10021685117158, 620.31724154785832, 621.83157036749174, 623.79434368747604, 624.45800933402734, 624.48085993247571, 627.21647510979415, 627.42356111679271, 627.72552210774302, 628.26202249581434, 629.48396165457882, 630.20565731526221, 632.27886338010671, 633.37839530824795, 634.4108306440786, 634.58670884115793, 636.04354020146934, 638.20752466995862, 638.8331986849189, 639.33400813001447, 639.58026467672266, 639.64200927083266, 640.48803739109712, 641.36740230562305, 642.05365692770101, 642.44272583175439, 643.17323458960618, 643.35877640283627, 643.41073169011759, 645.64655779670682, 645.89548312537192, 646.14833611472807, 651.0957243778314, 651.78266271732207, 652.33832076512942, 652.58090719227698, 653.47413735732334, 654.55522361787234, 655.24741165035414, 655.72334399334909, 656.61609691370461, 657.49589055825629, 658.94848306059055, 659.97568189967058, 662.72808141486337, 663.03125015614557, 664.11478190066555, 664.30295957836222, 664.66774851574166, 665.06183063393553, 667.78270409184461, 668.40094865877597, 668.46245177683045, 668.59276245725357, 669.51227110161824, 669.57572740909382, 669.72081118720757, 670.85581881702853, 671.2654451830407, 671.29711531229952, 671.93175786339384, 672.68669410961456, 672.91395159363071, 677.20688835202361, 677.97319583072886, 679.97514179105747, 680.11498223390981, 681.49658352851657, 681.80223434001107, 682.50473901541955, 686.49191610825574, 686.75807069694577, 686.91338245591521, 686.94020335028222, 688.60372522020941, 688.97316872749479, 690.57978375129778, 690.64731230063751, 690.74593818914502, 690.84631692980429, 693.84421135650382, 693.93490626801315, 694.65993268903151, 694.78239600041036, 695.95712294158102, 695.99100028953626, 696.40034501819002, 696.7079202146989, 697.23032822610753, 698.31594114244285, 700.76170621654524, 703.4098759062847, 704.94272299892202, 705.15964350356592, 708.12508974044135, 708.98000904851835, 709.88656066734916, 712.24354327462822, 713.25802617695899, 713.43435830124099, 714.41943767961664, 715.15787305220044, 716.13660980459179, 716.34402012396004, 716.86429358662144, 719.14586138144523, 720.65532801700681, 720.88406606922877, 722.40458436848212, 722.98186176128706, 723.1531345998003, 723.35297899769114, 724.05096958272804, 725.14008204394042, 725.54665097398765, 726.54613163852798, 727.49655673660641, 728.76855027662577, 731.43742682058917, 731.64150062538499, 732.59280455802673, 733.32850175754641, 733.49647714749665, 737.4455693443557, 738.09922384735171, 738.33895813856634, 739.05324470732103, 739.11465665285948, 739.38455892549769, 739.41448850579616, 741.43704920261166, 744.29769270656777, 744.42249650507392, 745.39262567150877, 751.15277756835098, 751.22918610528313, 751.37530774606751, 752.1329219570581, 756.95606718510749, 759.1915326027364, 760.61371845955443, 760.97388370176168, 762.23909394391967, 763.76263206186184, 764.48558291105758, 764.95792674294444, 766.77956485850586, 766.91713724721808, 767.07808000981595, 767.95861682206782, 769.46094774957021, 771.07607257031259, 771.12682147455018, 772.0409606130296, 773.04759859808394, 773.25618777407249, 775.19107538568335, 775.677797975624, 776.53349452839791, 777.56540180996274, 777.89944230662638, 778.02991469308563, 778.15305581744519, 780.97339925011977, 781.55723100842124, 781.78361916376173, 781.87869149676101, 782.32974818067692, 782.47270930918705, 784.048198983058, 784.75854371433297, 786.2987129705707, 786.47024338680558, 786.84987405436834, 787.26747164458948, 788.34143855908894, 789.30140436232216, 789.68475976141247, 790.18878857193624, 790.73608910594487, 794.27935413590217, 794.69350099561836, 795.0434334914338, 795.8175742361849, 796.28208476959924, 796.63418344339732, 796.71391936512396, 797.81206148338788, 799.96984048445529, 800.77557937078302, 801.10406782283212, 801.19661602882297, 801.25631301394651, 801.53585451254833, 802.54829845125175, 802.64612860942793, 803.55509138707635, 804.83052073172848, 805.33666381442686, 806.94424466424437, 807.23792123925341, 807.51176807944034, 807.67111323272593, 808.29034659492709, 809.61400950058794, 813.0243029143619, 813.27424628936012, 815.40183293894472, 815.439987897469, 817.21738270943717, 817.31153122197736, 818.49300116385621, 819.89160444854338, 820.0889542363625, 820.21633981914283, 820.2886995105157, 821.82170466138564, 826.11511971748496, 826.48913303864629, 827.1239326163444, 827.75061215726225, 828.60146761332817, 829.04608731282735, 829.08810605787244, 830.7409724109184, 831.02899253284204, 832.0939987458662, 832.60921543003246, 832.95634720590772, 833.8386783068114, 834.54715639388883, 834.73660236065916, 835.40718864274879, 837.59914620989696, 837.90235111543677, 838.23782649961777, 838.79468926478432, 840.63413201592516, 842.03427094787321, 842.44862315109538, 844.16621986616008, 845.38269183294426, 846.65245238154046, 847.67427080878588, 848.1590804847873, 848.81537225547413, 848.90905626624794, 848.97032647987828, 849.02826696953093, 849.14727538484453, 849.53807628230845, 849.90105895473584, 850.30204908386031, 850.44440307247885, 851.52433477389184, 853.14919699522591, 853.40335134974214, 853.88565559812366, 854.36849965056422, 854.42239857992377, 856.73802382510212, 858.85063496761347, 859.77759694684198, 860.74675435736572, 861.34210219280396, 863.39244029028384, 865.11191794264164, 865.74044331214259, 866.72235020429071, 867.34477427944239, 867.92299412112231, 868.45679892825001, 869.42041352513786, 870.72021621861143, 871.74483422508467, 872.22975360322118, 872.42054481367586, 873.64818429623892, 874.22456710001768, 874.75016394143449, 875.71747741841239, 877.68153291397641, 880.64124895156328, 881.05486425041693, 883.9035227106117, 884.38926310126828, 884.52304470506272, 885.49969173820352, 885.52941667755942, 885.75491782087397, 886.34827863113139, 886.41704492946337, 886.57345243723557, 886.91539256208409, 887.61965614593271, 887.75112907178755, 888.26030779045641, 888.51790948723976, 891.9877906080651, 892.23710089054316, 892.46897642504962, 892.56739989622054, 893.50306528923068, 894.72455695689746, 895.18313694557503, 895.82989307788057, 897.18018042269512, 897.5153563441628, 899.97985092088174, 901.60444846504913, 901.99361001620434, 902.44927331618032, 903.18760077104707, 903.60640290389802, 907.08410172189781, 907.68060779687676, 908.56075435547007, 909.01429504996213, 909.67827130027035, 909.87076192579354, 910.26187950294457, 910.32822266285973, 912.04270554837603, 914.54128393419091, 915.49542944438349, 916.75676301798399, 916.89091537414754, 917.94744132879111, 918.42265856720621, 919.47293432213962, 920.17802382873333, 920.55562182255176, 921.35262053186, 923.09508675459699, 923.77632576188046, 924.15368621600783, 924.94822726072232, 925.30536612316826, 926.08325014808133, 929.88657967387792, 932.69788278451358, 934.15067786894463, 935.2351826881785, 936.23414082891907, 936.5244689531238, 936.84924551954759, 937.14009237558355, 937.4254012527158, 938.46569354122357, 938.94918959919653, 939.9187535995851, 940.59830416262423, 941.16819930434019, 941.82240755862938, 942.01161935182517, 943.01561845490244, 944.36520595855882, 944.55181851825671, 944.98040750806274, 945.20052171017892, 946.30074360384401, 946.68542405967719, 949.0315588756157, 950.71696624872948, 950.99189890760363, 952.74908804664494, 954.13105925564537, 954.91607456724569, 955.10458478547173, 957.22291985312222, 957.29465769635885, 957.70010082025965, 958.35983237716982, 960.2837424840119, 960.58691867992013, 960.91614389349343, 962.9669499719331, 964.75415595069694, 965.52811057472707, 966.41368662152513, 966.53521039204054, 967.91974319702865, 969.19428849516294, 971.84884051069946, 972.16266107340209, 972.46417566766434, 972.53040753322352, 972.62210610009947, 974.54313285214755, 976.52392163745185, 976.68421621832385, 976.95954946309007, 977.07672449426798, 977.61514235580592, 978.32243446593407, 979.34304734930777, 980.23597043386633, 980.25658235757953, 983.79210609855488, 983.85002624338961, 984.65473056435803, 985.9150167605286, 986.14176158109422, 986.48804660799669, 988.05478802936295, 989.71904634099337, 989.98938243517091, 990.40119447533527, 990.48301399917852, 991.32034056146222, 991.98013209116709, 993.49362051822732, 994.44624128760461, 995.39609970911374, 995.77653273420833, 997.39659314684866, 998.84758779430058, 999.59709396500091, 999.89599729945087, 1002.598228462988]),array([32.194772763085233, 33.208901373176538, 36.773390384111096, 36.926598599267592, 37.161493658445622, 37.623141358530781, 40.735877305587977, 42.085432188606688, 42.163383524888488, 42.197957296778668, 42.364423428569907, 42.759712070422317, 42.865254665149337, 43.745662638722855, 44.543816992813696, 46.18686774737543, 46.282378642905165, 46.753612412540001, 47.716306314531352, 47.980047781833193, 48.447855012020703, 48.485243637433072, 48.917435032983846, 49.675620804056209, 49.793791444354653, 50.412915194986603, 50.603994800959633, 50.878403086287861, 51.369876489487339, 51.854704990251953, 51.879732539407023, 52.722580913884407, 53.825995349992986, 54.690081965540337, 56.94409753675194, 57.619567404769008, 59.168263303478888, 60.480184803986255, 62.365815929754618, 62.887698970058786, 64.749227466071247, 64.877405359880271, 65.344414552850452, 65.44196570619053, 66.080113241323588, 66.406069304850661, 66.583414618520862, 67.501515859996999, 72.275824998401561, 75.34802310544444, 76.831374401718264, 76.862306841716276, 78.917815099135183, 81.170650105074927, 82.271841699964909, 82.646589907118852, 83.63590614226014, 84.438531499785242, 85.851249910876021, 86.345333807828439, 86.731652358063315, 86.996580250093999, 89.812458695210282, 89.957497112580981, 90.1356061508708, 93.117276070174881, 93.428702390008198, 94.430920052521401, 95.766193065903011, 99.152589396228592, 100.00672976839974, 101.54894535021961, 102.3760763207291, 102.74555319247638, 103.049890571273, 103.31805906809907, 103.77739964479018, 103.85758775902056, 105.3935554428771, 105.62259686802717, 105.75414969079465, 106.21496445358281, 107.4196377223716, 107.7916359703718, 108.44726664158654, 109.48486284927486, 110.55113129385211, 111.37198227848359, 112.07595433579408, 112.52162158211452, 113.01447798427684, 113.77023253079686, 114.36097128542283, 115.45327042121053, 118.79434336070034, 118.89952799100854, 118.92073959236397, 119.45123061494964, 120.51665682298582, 120.54035663293649, 121.86140758574092, 122.50574163307604, 122.76963052541609, 123.49849827303774, 123.93854448964414, 124.65868869003985, 125.66048731331546, 126.44900531853244, 126.60578502018404, 126.91831281877788, 128.45205199460193, 128.78712918614875, 129.12741869787362, 129.78061676045846, 133.8242630578917, 134.16309550275088, 134.1981285091841, 137.52328606944889, 137.80095518307098, 139.65251846461047, 140.95727023964091, 141.35785298450756, 142.01668465938715, 142.62399250533159, 144.21609868534512, 144.6053922087238, 144.93402644641046, 146.43134143007472, 146.56704035120109, 147.82560353251634, 148.57210932934871, 149.41684622561809, 149.9286011872868, 151.11811679410582, 151.67766579562522, 152.55108315404146, 152.79153916369398, 153.0381260249813, 155.22163917285596, 157.00632149100144, 158.27371494510851, 159.22419455943339, 159.63059587190256, 160.03669844949016, 164.70872037428086, 164.75553782852836, 165.2474016195948, 167.57094088552287, 168.90409882934188, 169.47309403179301, 169.93382976148746, 171.97304168005209, 172.03566135632869, 173.90672701724887, 174.19297723871162, 174.51499142526552, 174.68903745910134, 176.60727476165545, 177.42495586748268, 178.57007363707899, 180.26541716198338, 181.13011738337531, 183.3623613372306, 183.47267821064335, 183.80927510440759, 184.0005677817515, 184.87835593853094, 185.98608196000097, 189.90727566634598, 192.02693717920542, 192.34781056050173, 192.37168834791495, 192.84591725000431, 192.96054786665283, 193.79525904692304, 193.99359715674626, 194.83480707469815, 198.90596563521197, 198.99936530011692, 199.95614168465769, 200.78527185983106, 201.25041092147632, 201.54154341212183, 204.17677993843731, 204.57215786107346, 209.42725620254245, 210.25667759854286, 211.03900707054842, 211.42590928104076, 211.91285208733862, 212.45021485232775, 213.02921964765753, 214.15638256192807, 214.22862978394716, 214.95054573012493, 215.48741881094051, 215.65724162571337, 217.18078810983513, 217.42295308012868, 217.93404148161801, 219.53786598753692, 219.80387573470227, 220.26786852995122, 220.4811820965341, 221.10900940204053, 223.11015298224703, 223.56798056959701, 223.6408903393432, 223.95171814448477, 224.05583461596538, 225.30098650132459, 225.61605008659521, 225.79555726140416, 226.02403032066584, 228.4935589102308, 228.72843989889498, 231.11679160962785, 231.38260601531914, 233.89671881014687, 235.61635632513836, 236.90157762947706, 237.09083374580732, 237.61872754562091, 238.88412238374761, 241.51366468804855, 242.43032974401373, 242.68105378976347, 244.13150678976314, 244.22580978818689, 244.80305007969309, 245.86172715904686, 245.88496377022147, 247.82976563276694, 248.01022114094363, 248.31592521979874, 249.7583373313177, 249.97824099729354, 250.31336200541378, 251.53079842052676, 253.97858259093934, 254.42685983439097, 255.13380946141316, 255.18312584649749, 255.32912370980657, 257.31559314545052, 258.30744147682537, 258.50661697401927, 259.01991059727084, 259.10554688841165, 259.57131745945253, 259.72196920224002, 260.55066177403592, 261.77552038837194, 263.63629867510838, 264.91805666425995, 265.45096060080903, 266.2141450691874, 267.06188042673966, 267.40751084692602, 269.20571758997505, 271.81995516017173, 272.05587819203794, 272.63474571801913, 273.37146255077971, 274.24605344792252, 274.49971271590437, 276.80146152230861, 278.04063584478769, 278.82533607462921, 279.86615392297188, 281.37039927775322, 284.54298571983264, 286.14305404165844, 286.43623163043509, 286.89849362173823, 289.76084526640062, 290.14719788992949, 290.44085522078319, 292.30267275336962, 292.5629701246134, 294.16375547094481, 297.00461959228488, 297.8937453589084, 298.08026452639007, 299.25100934417509, 299.809337902653, 301.52100219922312, 302.35881083898516, 304.00358580528649, 305.11997227177017, 305.38210789577045, 306.16720989636968, 306.27017599431161, 306.60469752647327, 308.46261282921319, 309.11666627814895, 309.24132411403309, 309.54598693256872, 309.82846773922103, 310.77291849822234, 311.43446951470855, 311.81852159517297, 312.47046943349068, 314.04049102705449, 314.1120512650848, 315.23149380156929, 315.49754674519909, 316.42127736990852, 317.06520968830785, 318.11346770092308, 319.91799808722203, 320.19491530565023, 321.35087420354319, 321.38629026370461, 322.49279691223342, 323.48591103812612, 326.0697979223151, 327.70118705032235, 328.81940384640683, 329.53908647091112, 330.09398193810625, 331.59511414875954, 331.88181565382359, 332.06098284377708, 332.13986458462131, 335.57953021022087, 336.14623041781653, 337.44537978285013, 338.91960904411292, 340.01123387289573, 340.39227902501267, 340.76264459998538, 343.10131338629054, 343.8587760307596, 348.51597005731713, 350.30527125767361, 350.51244847655067, 350.71674943341338, 351.37137683771988, 352.42556803997422, 352.48416840152044, 353.45595988813812, 357.09410696877234, 358.38516477735442, 358.47949617386899, 359.58397653374061, 361.5329305375372, 361.65602654986122, 361.78554153161997, 363.20154592100658, 364.44095078601589, 364.77728628977599, 365.53956011853023, 366.12677051305792, 366.16608115716008, 366.48778463330342, 368.25754817940515, 369.09660287951851, 370.94040448308965, 375.58746212234257, 375.84670878753047, 376.69960239804874, 376.86785508354706, 378.70824044957646, 378.85112687201774, 382.79129816445584, 385.7822028512411, 385.84992327847658, 386.36841749473797, 388.08620168686792, 388.44776295572092, 388.63136336475333, 391.1236528941244, 391.81966687053023, 392.19542151030475, 396.34938388575591, 396.97101681516364, 398.54676956744726, 400.54282170397676, 400.91310393644233, 401.60900246546828, 401.98373019583045, 402.24253252903702, 403.21290818614744, 407.17969643167697, 408.36826873056799, 410.49137231428011, 412.2330939740441, 412.65431657966423, 417.12763252700336, 418.97064406839212, 419.35568324330916, 420.91287937537612, 422.3333067377684, 425.43997896608653, 427.04903396865518, 428.62603237029185, 430.75506622996534, 431.07736666400365, 432.86713174272086, 434.0137265230365, 434.0882943316571, 435.03362066038602, 435.85637029244265, 436.12928756187995, 436.71838173623348, 437.15574788746005, 439.9980683514471, 442.48492618244711, 445.27902720279479, 446.77808799428055, 446.91185516422303, 448.50861181543763, 448.56680802094866, 449.41844252440018, 452.948364270333, 453.50515836856101, 453.67716751271553, 454.53744730288406, 455.71323898037997, 456.39277257561707, 456.73118959126685, 458.12882192149578, 459.66739651155314, 460.13601513395463, 460.19870998808324, 460.40902145734543, 461.10698776609223, 461.41374838045272, 462.06132102148939, 462.22357192898943, 462.25197361699134, 464.07440787582669, 466.45262711483838, 467.43546957938719, 468.46249062617545, 468.97240799738421, 470.8957960929252, 471.43686967080106, 472.01604285079435, 473.04031895438567, 473.4393079375123, 473.73736411409988, 473.78323814933765, 481.04373515806265, 482.78821162705697, 486.70992461290723, 487.93326345111245, 488.37794077467873, 488.58300950313509, 489.63480618445004, 492.31637539069601, 493.84956716176572, 494.9231767679168, 495.05955950716447, 497.25839837839635, 497.41825174660283, 498.15363231227877, 498.43780337661713, 499.40535896753693, 501.20300270445443, 503.09989265807019, 504.65214205266233, 505.53708236007964, 506.37092981784292, 507.00548659767082, 507.5266757265278, 509.03279423722819, 509.56906634059504, 510.01049289517181, 510.3959757398801, 510.94113382880812, 511.2451091604612, 512.91021772841304, 514.31460225331932, 514.73127890362093, 515.71273182315986, 517.37689379563449, 518.01242929072055, 518.72433961504373, 520.08936798647437, 520.39767990194105, 527.06290483250621, 527.82533018094671, 528.92412724263431, 529.14934475367977, 530.38083867260036, 530.49126704117941, 531.29785420786823, 532.02004643655175, 536.47080282575268, 536.8726210792621, 537.209610987681, 538.44961922840776, 538.49361833388389, 538.67719108454742, 539.59748764487142, 540.891960974992, 541.186854757226, 541.87707743816588, 541.91067608754008, 542.01709702790754, 543.17455662644534, 544.23210497026309, 544.95053360455677, 546.80954855648793, 546.8560684861767, 547.86763783722461, 550.51475045205359, 551.23178820009571, 551.93962905529804, 552.46571058002928, 552.94440194485935, 553.11922730021456, 553.7797741943242, 553.85341592092766, 553.89357325379501, 553.97643528056881, 554.05323014757835, 556.23110543481482, 556.50099042843487, 556.96671809923714, 557.9111135035696, 558.45471971867414, 559.18573242082925, 559.40805164548055, 560.2959633070393, 562.23282185015751, 562.38045304404443, 564.17319905210513, 564.59937241514797, 565.20561715501071, 567.56122275448638, 567.76542181024456, 571.50178016485711, 572.25387095121573, 573.17104735229361, 575.05284821937062, 577.33373342579318, 578.75091002013187, 578.784082622597, 578.85474385344764, 579.88553634740333, 580.21522782912427, 583.29933296627883, 583.34574014294253, 584.33960458403726, 585.28702308002892, 585.75546646067482, 585.80398964023379, 586.99872935603446, 587.0478504126653, 587.79017033744719, 588.44188323099013, 588.5663115858398, 588.86627732962347, 590.42307934173004, 590.90300209896793, 591.25792910873258, 592.19098616664724, 592.96670538320018, 593.48212227530996, 595.2639804448886, 596.82845655009783, 597.07519048691177, 598.21575189414182, 599.22704739093751, 599.29051120256554, 599.88157512239388, 600.29441219864088, 601.51143457606224, 602.2208300830315, 602.27184680912342, 606.79809830616, 611.04074766364261, 611.87065020003092, 612.1698470061433, 612.72591099897204, 612.78110057617164, 615.09295217632575, 616.33361419447135, 617.69963335797263, 617.79253163161923, 621.0319315880671, 622.06512343510792, 622.40712670745177, 622.7588774820631, 622.94299415291914, 623.08047501059161, 623.44355368377262, 623.99724254837156, 624.31308704567823, 626.86994122265105, 627.62373286093066, 629.25830852772833, 629.34459321703105, 630.73237030199084, 634.51058001425235, 634.92232760047079, 636.7361399717123, 639.7140509541091, 640.09622533427307, 640.9449601492754, 641.35594034835071, 643.41897817480003, 644.18001431898722, 644.22079578564569, 646.25953610372403, 647.01905506243349, 648.03853016722894, 650.52727222777401, 651.37162041817749, 651.59810050305339, 653.0593731398202, 654.28378360361557, 655.15895966176367, 657.02273266257907, 657.21754074119224, 657.66783936847276, 658.37904143975572, 659.8461482615545, 665.32634015167423, 665.89750074029575, 666.68246166045913, 666.79359973087935, 668.55651620315382, 668.67682416965624, 669.01466364989051, 669.58864771636081, 669.70575023501362, 669.7742636097297, 670.83728985969651, 671.58115419366709, 671.76376892879148, 672.62065223602451, 673.017049144726, 673.60225021274118, 675.09528697782935, 676.34681372732166, 678.63700828592687, 679.29264708959636, 680.98151667852824, 681.47706189184601, 683.50155632853944, 683.66748066881337, 683.88999339202041, 684.91637084911986, 685.37696339803495, 687.8400232893456, 690.51311609704237, 691.09058554677358, 691.40698578538229, 692.19256463815441, 693.14357115173289, 694.3859158559585, 696.49961126295034, 696.98556324221886, 697.46159598877227, 698.86512832311655, 699.74973484085842, 700.17186268513206, 701.06039843845508, 701.32367979689934, 701.96937914924308, 702.10282023373054, 702.40220814158386, 703.21922234820352, 703.26893415639631, 704.89808901399647, 705.09928154418265, 705.56669307836239, 706.00578288929546, 707.09480307214153, 708.68029628061299, 708.72092652279196, 709.58695662017658, 710.58545747747587, 715.42052542725958, 716.0381538492237, 716.37728073537903, 717.385949606336, 717.65599813108406, 717.67613477263262, 717.95376563679758, 719.76242321351583, 721.11061142075403, 721.89545184177871, 723.63636248076136, 724.42500726965773, 726.16859442429256, 726.30578046523647, 726.76309228938146, 729.0647662474579, 730.12753948061504, 730.79066223650614, 731.53675096488757, 733.2434941813251, 734.00007925765192, 734.43962232245042, 735.78580366624692, 736.93303651842621, 739.50236937792101, 740.39159326049742, 744.74053913062801, 746.8434239803837, 748.60820564456208, 751.85118760386433, 752.28130087824968, 754.607233700444, 756.5111798192039, 757.2506259522836, 757.59997812072243, 759.84096799085842, 762.22145402008778, 762.87323973037678, 763.6296978346378, 763.82237577977696, 765.95388498731677, 767.19323989361806, 767.55859402859812, 767.67896071248572, 768.02467764505582, 768.45091274218214, 769.42298727745754, 769.88976373122102, 770.52628483261731, 771.83433494908957, 772.6145426923797, 775.88489361425377, 775.99785576157853, 776.66251582972279, 777.40622191930549, 777.46959848075028, 777.71201731636756, 779.24473225728343, 780.31552230003751, 780.3539625772454, 780.84477894655538, 782.93045814872687, 783.47388451319671, 783.84203558034301, 785.24132124185383, 786.77894670169644, 787.44632152243105, 788.61376893525403, 789.36868552434157, 789.9703652643658, 790.09248119589438, 790.56790818713228, 790.76523635294438, 791.16412079147347, 791.53985324721316, 791.91350451726976, 792.26198842546751, 793.2917421695447, 794.21064720166009, 794.91933989790016, 795.59478222948053, 797.58040748995745, 798.07197971821427, 798.72017419969109, 801.38742110871476, 801.48121135029032, 803.39564568769731, 804.03242825649761, 805.94132786104183, 807.21084983874448, 807.46649563255994, 807.68517690649458, 810.39820002394606, 816.06862861186391, 816.29541902482913, 816.89393835401427, 817.26298628928078, 818.06631641574972, 818.27442662936619, 819.35643816972208, 819.38833498495364, 819.41642308067549, 819.84356866454539, 820.47082838743597, 820.54996619634096, 821.16651819469814, 821.22974928790882, 822.76628648947224, 823.01338055702843, 823.76275703268561, 826.1211905856909, 828.27954585884811, 828.40826275828545, 828.9156640906441, 829.92152638107382, 830.00995269952057, 831.27035124305291, 834.48318221135332, 835.62659565739818, 835.98636014293925, 836.104132953722, 836.29724555409655, 836.35282162553199, 837.15653469258575, 837.86048983850026, 838.17734307924684, 840.94474187050071, 841.11030142396316, 841.59706264608621, 842.00822643735569, 843.41328751802621, 847.05510139965656, 847.8226178635648, 848.85208082380063, 848.90457484485194, 848.97155826637663, 849.53680466128026, 850.81289637781856, 851.15708564737326, 851.7574220346404, 852.53568413853407, 853.76642869996556, 853.78996593732029, 853.89678129861147, 854.43027550045417, 854.48253374078615, 855.39937652516824, 856.24012826358296, 857.96575002898237, 859.88991604270268, 860.20411742429258, 861.45180757912067, 864.68417051189977, 865.59340907828687, 866.58227304472678, 867.33735948286892, 868.17780842073842, 868.37783376565619, 868.71337871750632, 869.5397461079715, 870.7830981996525, 871.35821355136511, 872.01970677030658, 872.61745338868798, 872.92014866387774, 876.27825195900903, 876.97495728323554, 877.68472653992933, 878.90950982634229, 879.52558925197354, 880.65025179723182, 881.16853427454862, 881.3943279811557, 881.7196543015275, 881.7452344184926, 883.06016697707832, 884.40836240180329, 885.19177455633508, 886.89150611271452, 886.97719632216001, 888.87350539297915, 890.61412469929041, 890.80157144817315, 890.91363620424499, 890.94314761527937, 891.7845635970067, 893.63757532536943, 893.9102862424902, 894.23810852932081, 894.92523123643377, 895.16226919301346, 895.80586257084713, 897.45456241588806, 899.5924328054881, 901.20292931795461, 902.4463954041164, 903.43999466626121, 903.52957567641613, 904.05207315447376, 905.40133028520086, 906.56905236662863, 906.7887635292044, 909.02261489405191, 910.20227572833596, 911.22021665144746, 911.27138355527097, 911.92550517589336, 912.34926474733402, 912.94037304446238, 913.83508993311284, 914.65027239567678, 914.70915699200066, 915.32251850096588, 917.74276667110007, 919.57121821219823, 919.73602012437198, 920.28931756796749, 920.44537915826675, 920.7696946643415, 920.82209897123698, 920.96456057902014, 921.56300277731964, 921.75651298332014, 922.49782363141344, 922.60525834426539, 922.7158274418083, 923.32067581951185, 924.70407088286822, 925.66181794246427, 925.88764425852185, 925.90773228048351, 927.99166392110692, 929.34386066812795, 929.61517778922041, 929.77312127612333, 930.6684323616696, 930.69400824659704, 930.85409421764302, 930.96576543258288, 931.83682724926052, 935.26324874786462, 935.83354126919585, 936.23520308057812, 939.21479949675529, 939.43745289626088, 939.80528738141754, 940.75436536471398, 941.60973024539021, 942.44785141015143, 945.41327201873037, 945.47834901608792, 946.63259688436858, 948.58431328085635, 949.54742137607082, 951.98148745125502, 952.16226028920562, 952.34815121826091, 952.45711026275228, 952.95203644313051, 953.03858728787907, 953.47027974050638, 955.09891737178987, 955.37898661640509, 956.47141834352942, 956.77206454507154, 957.95385859832152, 959.17161375117337, 960.11366963324781, 960.29932947531847, 961.8080915470307, 964.68909943045719, 965.07498054203086, 965.20727155306849, 967.0076590671739, 968.93419277145154, 969.68813403643287, 970.20691024879295, 971.09439129028749, 971.72059298010822, 971.93104298592675, 972.7143430828155, 975.43402738326222, 976.03095893678915, 976.8748370239291, 977.92105917618437, 978.93209449058486, 979.35042562497142, 981.23271633381125, 981.48909514937304, 982.5471661151372, 982.5765517674605, 984.14415348152329, 984.76269013477145, 985.88796864547066, 988.05277982174073, 988.30296838234733, 988.41356241599283, 988.68145671333048, 988.97756185624564, 989.24940449620249, 990.02091708843079, 991.19203855913861, 994.25117571319822, 994.84543742090511, 995.90643829331543, 998.52428472525014, 1000.4131788207543]),array([4.7581111984293267, 5.3645975737913565, 5.8482463903484687, 5.9698886723973974, 6.5895192159755318, 7.2102064385185409, 8.466694084181313, 9.4693336821595757, 9.5221101503778574, 10.350530541480214, 10.476609346936762, 11.000812112586095, 11.327878936069443, 12.736900334606144, 13.133216578208724, 17.011421787750596, 18.544352953487127, 18.930954372135051, 20.383757416500718, 21.941113502113254, 22.362211339373939, 23.831965417524501, 25.378246414679197, 26.077459492392673, 26.887665639389258, 27.166105026521794, 29.998997437549971, 31.431389860847357, 31.682704658106516, 32.388791853596203, 32.830265746936838, 32.921313377769842, 33.403031036800421, 34.203884906687485, 34.348294400849802, 38.913501867389108, 39.009177683119148, 39.599750878908367, 40.417236776544321, 41.301584000550079, 44.364848359986837, 44.472039995211041, 45.477569637369498, 46.174788826175927, 47.377830516377095, 47.793755547413504, 50.062617905323307, 51.457264569843474, 53.014183530965624, 53.125298862954523, 54.59281608137379, 55.018865572425476, 56.290598740702606, 58.009114408670058, 58.603013038092378, 58.869808041126156, 59.066306348832413, 59.292793423405982, 61.15632763619454, 62.263015238565643, 62.636070190251985, 64.315523642712563, 64.87250191014931, 65.846499690332081, 68.368789963760904, 68.931160654883328, 69.33779470339779, 71.925296322456134, 71.948623167980202, 75.613635214795124, 75.648730393538258, 75.739877303355243, 77.531420013042151, 77.565703282181317, 78.192678820474526, 78.302470699975402, 78.603152426780696, 79.284270799415964, 79.348454861365582, 79.542487581717154, 79.601581120193856, 80.140659665289732, 80.252753483554201, 80.780591592303836, 83.559505217552854, 85.471672185238518, 87.122518968636697, 88.970165903499165, 91.811534641455395, 93.79012880979991, 94.23972880755818, 94.427611553717853, 95.323748503087984, 97.808854517526797, 98.21109335333, 99.312808212218414, 99.398294827303786, 99.424593457229804, 100.89540666765289, 100.93706781716199, 101.36387666948991, 101.69204599821984, 102.81127082038721, 103.63254123034501, 103.88281410841472, 104.5380087925799, 106.05943599141555, 107.15796483437153, 108.14438691980673, 109.15385139631988, 110.55821390657097, 110.74834407157074, 113.57900652931569, 114.09903734769634, 115.71553645075247, 116.28567126320465, 117.79327786801524, 118.36992054421306, 121.06153805449554, 121.47480531790784, 123.11574889660068, 123.88286995192524, 124.08051479045706, 126.35862748397184, 127.03654088923335, 127.27780582536238, 127.98428577291183, 128.13525235129356, 128.64804234945987, 128.67019499462114, 129.21861053146748, 129.4694508755407, 130.93530875439745, 131.02978776854258, 131.25234809511457, 131.75124261938004, 132.20912459701216, 133.4693207924324, 133.70858515904627, 135.054241896441, 135.91017015922708, 136.09203295707027, 136.30514008779491, 136.77272710984926, 140.9156687535592, 140.9738530968404, 141.49241416468507, 141.73623337237845, 142.22898521758896, 144.7997413541126, 144.84727480715026, 145.1412050667422, 147.172428297404, 148.47985859530448, 148.72916060002862, 150.41479883735548, 151.11576110706096, 152.50669276080015, 152.77790844257854, 154.06487987400826, 156.36917896542641, 156.71872082484617, 157.71384978101375, 157.99257050537108, 158.9274662180855, 159.07921549100695, 159.34688711872386, 160.80615999585189, 162.51980226358964, 162.57663860770452, 163.57101663427699, 163.77711273882261, 164.44216235098088, 165.78612148885253, 166.39952066998438, 170.47710584032703, 171.15155656763997, 173.08371698140806, 174.24220278606438, 175.41816221726253, 178.26273426831807, 178.34565024495902, 179.42128584596122, 179.60798896487188, 179.70891761123372, 179.90493032741307, 180.82555144013827, 184.14494087436381, 184.25246476939165, 184.32684268023161, 184.5049492593395, 184.87979411280699, 185.48940135563623, 185.57503540196083, 185.68039612869086, 188.67812639265154, 188.70510027722389, 189.52854273083562, 189.65890931439603, 190.3777833331232, 190.73812125295771, 190.99484066574504, 192.15068529239699, 193.5811453810438, 195.57442157436043, 196.65465716559754, 197.14043604294955, 197.79368545111652, 198.13660091804257, 201.10620593630904, 203.42848741768663, 207.56800869365298, 207.85191360020775, 209.06524029510007, 209.14665975559353, 209.3278952446457, 213.14130063234188, 213.60826294391688, 214.03678223958991, 214.1431655085984, 214.46643441555017, 214.97600272284981, 217.67850785449463, 217.82758579699865, 219.27002887309209, 219.3626932212465, 219.71035874818298, 220.59453856553088, 221.01552728551255, 221.33233095168646, 221.53319672381534, 222.0059867812202, 222.34675357011614, 223.36959369517623, 227.16458063459149, 227.31047979620641, 227.76631396801906, 228.07718995784711, 229.25114160936624, 229.94725986864336, 230.16859193840983, 230.61024653038356, 230.88147833280209, 230.93637601486535, 232.05190787221656, 232.647765920648, 233.08666172786403, 235.45247745636431, 237.2946542103285, 237.91982734774243, 239.74028737817824, 240.51661068845826, 243.17860863202398, 243.82013520483815, 246.8439935934108, 248.16642105526145, 251.05269852915447, 253.93485663966851, 255.28337847152804, 256.08896935588257, 257.3975383854746, 257.49699992157116, 258.34650703322927, 258.55995669685245, 258.65220569151802, 258.82545767895652, 261.04890117265035, 261.6845931588536, 264.96693153644355, 265.18807697607247, 267.42091519097471, 269.11479855686213, 269.99215410672178, 270.33513487926814, 270.38378443606257, 270.81805226588881, 274.32742432607131, 276.14498307319388, 278.22389512176431, 278.96479766908158, 279.04191440887985, 279.06680909465337, 281.94351564660514, 284.4752801584653, 285.1725417093698, 285.97690364164259, 286.25738856113514, 288.90472176594432, 290.55001799180968, 294.51400992721665, 295.12998755029469, 295.99548821263369, 296.54258932168557, 296.61356760416271, 296.9027433655595, 297.57407127983686, 297.86645513654344, 300.43499395373459, 300.68550532498716, 302.3413291836257, 302.7082393005054, 302.8660213711097, 303.04367895656969, 303.22534823772043, 303.52909128525715, 303.68444229725094, 304.40731468156281, 306.09357076691867, 306.3852715647119, 306.49270785541825, 306.6074163081455, 308.29578584454549, 309.64153754597874, 310.20933046846176, 313.28142664799276, 313.89681263777305, 316.27487013125972, 316.34004305753797, 317.51844349343452, 321.56517527867828, 322.49048295384586, 322.63231251857161, 325.14776518562127, 325.98665465377189, 326.67295103335329, 328.56864079771339, 329.06478810403257, 329.21435025908772, 329.78004510316862, 331.61786141918054, 332.25453364643204, 332.3651283288329, 334.72631756802417, 335.7608845048469, 335.97998567799334, 337.34826206026116, 339.02054675111953, 339.14419111458102, 342.40072927764152, 343.31117506043176, 343.74067172312562, 347.59755529508311, 348.30702548496913, 348.65189252744074, 349.55155765219371, 350.39309697796131, 351.66750709761214, 352.8734565341029, 353.92740429255366, 355.91832060400151, 357.5301082690255, 357.58330002157749, 358.14353294980407, 358.4178196144548, 358.52465538638967, 359.29800813666077, 360.59393226524935, 360.85023456304145, 361.91484797653965, 363.95934212487845, 364.10030426909992, 364.32819889693263, 364.97250928747627, 365.3363103707058, 365.98313757152084, 366.89391435088106, 371.04258358802986, 373.97741852354659, 374.73380328182532, 375.19285596873863, 376.84842689441388, 376.95909273179251, 378.86692487238531, 379.31214390966613, 380.89445739281507, 382.48898838504778, 383.53241535128763, 383.56497935909562, 383.69815877354148, 387.43749891662105, 387.77018866327018, 388.64492673160191, 388.72063710303598, 389.08484784674567, 391.39194121274272, 392.83563811217994, 393.67704919002074, 394.60983409748218, 395.29132607513668, 395.66438803357033, 397.83274810453281, 402.00972304151986, 402.21822106611586, 402.84191147579241, 403.72549041169702, 407.34283019468734, 407.53259164608636, 407.60254385689257, 407.87780424877258, 409.51554243274245, 410.7139424707953, 412.59086656338388, 413.22150149700803, 416.24475701636248, 416.60452859358111, 420.85621403496867, 421.40907055429761, 422.90529844640616, 423.21009365598582, 424.48281411273229, 425.64728643934103, 425.74065404585082, 426.55236602101081, 426.88888162244314, 427.41866326711659, 427.85146152221751, 427.89718861061732, 428.39946743483426, 428.67823324425149, 429.19584645461737, 432.70069686898177, 432.77299618870796, 432.82715835986318, 432.97677602028836, 434.36315960505277, 434.93476309258284, 435.46361888601501, 435.57874526955698, 435.73011351664286, 436.32237770563597, 436.73707804143663, 438.60767809155448, 438.7220670270197, 439.8587508362022, 441.84541730472012, 442.22203542277157, 442.3649406023128, 443.37881445112083, 443.4364405351983, 444.33332186731872, 446.83921423164122, 446.9369361903631, 448.4344759167966, 448.60821565029653, 449.6040449106045, 450.30230472887308, 451.07536020759261, 455.66396166616659, 457.65875989270461, 457.92806111654602, 458.67917856787744, 458.90783184415244, 459.82077638762865, 459.88760087133898, 459.9150470599663, 463.20475518189465, 463.91631878149656, 464.00279938001694, 464.27782363340322, 466.54550434095933, 466.77363345749563, 467.55459781420558, 469.72026750645824, 470.12596647150991, 470.26035279960058, 470.753695187272, 471.59819377097625, 471.93649137828646, 472.26154930556953, 472.53564673091626, 475.39297115091784, 476.0828438131561, 476.33052777141847, 476.57601688491428, 478.36750966951791, 478.55345127996173, 479.37441269404678, 480.5467958846686, 480.84081194822085, 480.93197281445509, 481.60718178411611, 482.24550262132522, 482.44637345872547, 482.93108774401901, 484.0359485471493, 484.14182380123464, 484.5471564100381, 484.95096443269136, 489.47790094112116, 490.36801656596231, 490.89629815555406, 491.57305746458599, 493.00389447795396, 493.61856874265004, 493.70715418337392, 494.13555119709577, 494.42250752592565, 495.298127770608, 496.29253213838462, 497.97543349007765, 498.46521803461303, 498.86957498687758, 500.8023310420665, 502.60109208422415, 503.26005971611551, 504.77259550775426, 504.99757572975739, 507.0034234024746, 507.58189329213349, 511.6019662473222, 511.83300104618525, 512.22277722265437, 513.52598695848565, 514.18582923157533, 516.97716729686022, 519.0998712939263, 520.59843061363802, 520.92599338477021, 522.24879574237127, 522.84742215029758, 522.96998316389192, 526.14503037892723, 526.32009114119273, 528.23862973139444, 529.0202100511699, 529.42902714653508, 529.94478973264995, 530.60686500318332, 531.55391605954958, 533.89030263597704, 534.41541615069298, 534.51111846581989, 535.87443568927745, 536.43106530557782, 537.65263092676958, 538.75029495607453, 538.81019929645026, 539.24652726260672, 540.90128262116457, 541.36906609231596, 541.45984916073496, 541.69976375357828, 541.80541827044738, 541.89504692119351, 542.73096593040884, 544.30706693391289, 545.76319641939767, 546.78910356201141, 549.26538501836308, 551.43961233631853, 551.478179625297, 553.14963430037312, 554.17917990322053, 554.664008870016, 555.71859510760612, 555.99157915717706, 557.36630721841436, 557.55926501449255, 557.85598562734026, 558.81207547338988, 558.83383462339168, 560.10077879288053, 561.60453265076524, 562.64358306411941, 563.44357082410261, 563.47718826703795, 563.94372404033868, 565.54195570740501, 566.16905144152668, 566.42506846630044, 567.75846698034582, 569.61782026590674, 570.59755705515818, 570.90278068471196, 570.95789781893882, 571.12159445104965, 571.8073331483007, 572.29437613433095, 573.99157895038275, 575.28152198181135, 575.39279152231109, 578.28997430869424, 578.36688108786086, 579.97907431570286, 585.11501998497238, 585.61048970888476, 586.3899616461988, 587.07545968210741, 588.78685660595852, 588.8576945387523, 589.6256243700866, 590.48390278490319, 591.10494516517042, 592.06760474370321, 592.11523631128603, 592.70380727388442, 592.74095261253126, 594.32871207787468, 594.4085498978086, 596.58608003114728, 597.24881817132473, 598.03911140585865, 598.18361539245632, 599.10405722163557, 600.09241506762646, 600.55685894929638, 601.57448429092199, 602.35394240470396, 604.3082580011137, 605.87493783694129, 606.23719136028546, 607.32189228827929, 607.73053961271967, 608.04842632988937, 609.01402228523, 609.57720166259185, 610.19436691933345, 610.58289690583808, 610.71398320725541, 611.40849910088275, 612.22784219314542, 613.59276117039099, 615.96274393797194, 616.7214783942328, 617.24862871906544, 618.33351041433195, 619.26973757013286, 620.20673690380249, 621.19032436382668, 621.93355663557111, 621.96591415883165, 622.86665648348071, 625.76093245439461, 626.15627320675469, 626.54577840009301, 628.56647367347455, 629.90051294349985, 630.02319882945073, 633.20880074387367, 634.8839132452365, 635.1533187255086, 636.25937031807598, 636.37002078184821, 636.46823891995666, 637.23317165773892, 637.43401796183548, 638.40267067452396, 639.72245022408913, 641.75226814740051, 643.01273063473809, 643.81253356567981, 644.41965237357635, 644.52984538112798, 647.82471929300107, 648.19987959244236, 649.56283058318536, 650.45540285599918, 651.70558052656509, 651.93724895456216, 655.17608758148356, 656.44424330429206, 656.85432093375766, 659.55503675647856, 659.81843445844243, 659.84928482672728, 660.39723124216789, 660.46227331237071, 661.12842579325422, 661.2454426526798, 662.38319939713926, 662.82029382266273, 662.87218728874643, 663.48479853304912, 663.75568978727551, 664.02262725151616, 664.54974968308386, 665.6177450112524, 665.706209090686, 665.97758363870093, 668.71507894877402, 669.30777522113556, 671.12638379443183, 671.77227266201646, 673.81994995239222, 674.51600957417918, 675.28516958673049, 679.23483381555354, 679.55269276282013, 680.64588306959183, 680.69414381723777, 681.33248869377758, 681.39872774694004, 681.42726518788766, 683.08328990937957, 684.66217512096296, 685.83316087338233, 686.33313955701396, 687.05048399959162, 687.24421834838051, 687.67407997087639, 689.7751902096179, 689.90672603488838, 691.55813324282451, 693.71885571986797, 696.59912436651553, 696.79065330767696, 697.54795161815116, 697.98689902685999, 698.86076810824522, 699.17716099512165, 699.4723172230797, 702.16145257450296, 704.89193090076822, 705.07439877553509, 705.87103301279024, 706.92487410074978, 707.15836926784687, 709.9264543043563, 710.60460961445324, 710.714496935954, 712.59575148963438, 713.11570232003533, 713.59556022859192, 714.2489568607532, 714.34150487446675, 714.37748570528777, 714.7820155995488, 714.81548898034259, 716.07599898857654, 722.41447022207433, 723.56710969712094, 723.59563079067186, 725.86405742492514, 725.93122228191828, 727.40886762278581, 727.74259329136896, 728.13381525066177, 731.3092339456025, 732.31719709285721, 732.74155656770017, 732.88114303965222, 733.0899468982152, 734.30072698130778, 735.25958477218387, 735.7573286252815, 737.79563590039606, 738.49282078752174, 739.37008722655742, 739.68208007028431, 741.3134493921965, 741.73836524942817, 744.23433508479422, 745.45637436831589, 746.45450381960927, 746.99765841217356, 747.9131451371087, 748.40135889320902, 748.91786233938399, 750.00846273624848, 751.62735926029768, 752.30073233478197, 752.92766967662931, 753.01852319857255, 753.30316485955518, 756.74057432155746, 759.61113395913185, 759.74944677833162, 760.42915301304981, 760.54114985049, 761.44853979968832, 763.17594118047884, 764.96771155634008, 765.03867063063137, 765.57770410716455, 766.30106386752686, 769.10622686848274, 770.61822519094994, 771.69196585351176, 772.99247902518357, 774.00844456650077, 775.95253545004505, 776.9942239983925, 778.10404294255306, 778.3385299881661, 779.32280820033486, 781.38844956463311, 784.50830406230057, 786.3544462005741, 787.18416270894545, 787.42599970395338, 789.61900081142323, 790.86147170918355, 793.04861866041006, 793.50133326531227, 794.39281232646795, 796.06675835316389, 796.63783558245052, 797.21586236850999, 798.07764914771565, 798.18600038527075, 798.68961036387043, 799.98296351278111, 800.36903154871732, 801.02141649712109, 802.7078913145416, 803.16428330517635, 803.68851306758461, 803.71829344482296, 803.84173227181066, 805.42172024933939, 806.57223832397722, 807.73223914951654, 807.82704896040184, 809.98304008237267, 810.56983318589323, 813.32829707438873, 814.87201440476281, 814.95455518455162, 815.00369576167577, 816.45662696885552, 816.57093636373247, 819.31391320003058, 819.83734861869118, 820.4568912353667, 821.02553122719007, 821.24160168925243, 823.19024061389382, 823.4757928135125, 823.7189739870272, 825.17938364837244, 825.7846990911188, 826.03891296187248, 826.8447301509342, 829.09914734249878, 832.69066054921075, 833.40146694294936, 834.11034347892212, 834.48030121579802, 835.22830682358301, 837.70345035732601, 840.13219783871807, 840.21190771412967, 841.24093135376302, 842.25525796545037, 842.82776026893089, 842.85992724014056, 844.25396803488036, 845.41100766926183, 846.08084545214638, 848.59120938729939, 851.0295441836455, 851.95958781594595, 852.13040448938375, 854.59385722986656, 855.32866193996722, 855.46893557565784, 855.74265004118911, 857.86480704901237, 859.07946107352495, 859.24750294322416, 859.30750601017849, 860.1722946320408, 860.69357826420094, 862.43305642426526, 864.0945719102815, 864.15130597598773, 865.59358831923657, 866.24731400748544, 866.30268873494595, 867.64237551998656, 868.09517765790474, 868.48458231353084, 868.8228513235066, 871.20664212400084, 871.46423578400322, 871.72898062696515, 873.90761641689653, 874.16078380985368, 874.36606870271032, 876.02369131241255, 876.20201437376818, 879.67352490337032, 880.81844798341183, 881.52211964488333, 886.11497849214925, 886.36727722879846, 886.39781748728979, 886.99643389159769, 887.72349466085484, 888.3591417959841, 889.23788453004693, 891.83049022795137, 892.85209640896517, 893.04273309098664, 893.75390188833671, 894.43758709650001, 895.23161966903888, 895.49103853488361, 896.65231478872522, 899.93603268398203, 902.61585533898835, 903.21837830861784, 906.11364800582248, 906.41361627009508, 907.04339511774094, 908.63317678694011, 909.68390535789695, 910.18971912377469, 913.50086605934666, 913.89153836226774, 914.0227084552896, 915.40393304249721, 915.84434296063785, 916.51631154739744, 916.83699295842757, 916.9992433302283, 919.20315854116848, 921.31059175287612, 922.16052861718219, 922.33942945639399, 923.04574814445857, 924.990924014141, 925.03554415882081, 926.31651737353241, 927.87203113137991, 930.59618976032846, 932.67948992368042, 934.25796484115165, 934.70481431289011, 935.16359430294165, 935.59799932591011, 936.38039300747107, 936.51139666593792, 937.32797266058367, 937.80489788813748, 939.73714171903453, 939.81004497147001, 940.4072776303633, 940.6842527553099, 941.80391908333797, 942.98501974282044, 943.66148896644756, 943.76425645781194, 945.48456095231484, 945.85586924648169, 946.17074305267977, 947.2483029571116, 952.64570462971506, 952.80233771425071, 954.78994176589447, 954.89611857588204, 954.955685779531, 955.40283493648792, 956.90561367896726, 956.98624659873371, 957.35707369003069, 960.05315541851269, 960.80598800009955, 961.51225985148801, 961.70681821635844, 961.86464520247341, 963.57011621837205, 964.69982157563993, 965.12557784017213, 965.27115364261965, 965.99729843409114, 968.00979509717899, 968.09236043318458, 968.30439729825639, 969.04693351333401, 969.22220551458406, 969.47688163160785, 970.6027943792734, 971.00737844656931, 971.40830340469051, 971.77915779352111, 973.99734632102457, 976.12672986248492, 976.78413710436678, 977.5269309682194, 977.84259032875366, 978.51965833066038, 978.55213410300098, 978.66000488344457, 979.92118922233146, 983.59981566957583, 984.71818839815001, 984.95968862773861, 985.22896757965634, 985.51505243621511, 985.58533241892712, 985.82070974680255, 987.20758452133089, 989.8343444234996, 990.75956595054959, 991.52932812185395, 991.76223834580935, 991.84505741529301, 992.0134902628597, 992.59693619909467, 992.906018873324, 994.52512134234087, 994.83797598799538, 995.21824050485679, 995.68994644063218, 999.4669689742675, 999.88105569972834, 1000.2764579338779]),array([3.1569336493351696, 4.2784071537813393, 5.270954588048868, 6.0333848906263103, 7.6040536426395242, 8.0494235188462522, 8.2378559028206908, 10.232835325244142, 11.126723511032072, 11.270374515854188, 15.721370916454816, 15.837535697381838, 16.415036495661894, 17.244790316436564, 17.953541290065239, 18.084622889060125, 20.722977387457348, 21.614949240827638, 21.744819914460088, 22.439463682354646, 22.521794079010203, 23.883320881766902, 25.598875109929178, 26.088299151936219, 26.23324947463281, 26.713632837200645, 26.791877597406842, 26.961846707508812, 27.816304440168384, 28.407707644153358, 28.784795214887751, 28.956560465245694, 30.586262821140316, 31.616212998706512, 34.746212224287717, 35.171518887011274, 37.266812502856389, 37.529916494065979, 38.017934298957961, 38.943821859642014, 39.016789721075426, 39.490559100321569, 40.094278558425088, 40.621581481041439, 41.983365257882163, 43.328324148847713, 43.807705654591871, 45.874049604411809, 46.746436330571861, 48.168866950016209, 49.506841854995407, 50.104813231228384, 50.297984781782091, 50.969135471285703, 55.505707927914685, 55.84367351990349, 56.567120574810019, 56.804720458610312, 57.08659134379343, 57.36113028567145, 58.285928872040166, 61.508160543202067, 61.555495820337057, 62.16616562918292, 62.407663381346751, 63.456050809623214, 64.225928588751017, 65.950421077118889, 66.760636652096338, 67.849128074146833, 68.491536363337218, 68.977089051481954, 69.815031382976585, 70.560326070262008, 72.019680881631189, 74.005482348304824, 74.235380246140409, 75.064191187373012, 75.155111019803684, 76.421326215079674, 76.604833809402095, 76.721525256058413, 76.832956775605879, 77.465752225644664, 78.373729837132771, 78.665139976413258, 78.712697459406471, 79.065242482891662, 79.355973007698282, 80.224127952645063, 80.338592828914685, 81.928613985042233, 81.985002090963434, 82.022120400777908, 82.230708956647547, 85.07155499560605, 86.240949700583343, 87.267001388465758, 88.773012109256925, 88.922215625913523, 89.11435633700917, 90.120256961567264, 91.890898956166836, 92.052949351381685, 93.022808863939829, 94.187101227509956, 94.709151383769097, 95.637870813658807, 97.411394363134136, 97.457562944206359, 98.077233637266445, 98.65346044519012, 99.35141804977836, 101.43634831869693, 101.63412713478633, 104.34999441371004, 105.27130280080166, 105.55315758975021, 105.95852491085057, 107.02573775445049, 107.4350082243768, 107.65393222550593, 107.83312701016868, 108.27319277758765, 108.74725515537123, 108.84652949143782, 108.93423209417, 109.72909966372063, 111.48222331454947, 112.21150386781716, 112.41289444256569, 112.893353258606, 113.03204377838954, 113.51255576442695, 113.94062626588601, 113.96888668760957, 114.02658998395594, 114.49356443471643, 115.22141070435532, 115.36985839138424, 115.52848119469826, 116.29263512083895, 117.07451067454024, 119.9569025866583, 122.36755919519028, 122.59053765388158, 123.14159842369475, 124.83861830283853, 125.08818044775539, 125.51709734777432, 126.94632624683815, 128.39381352600176, 130.237506467538, 130.28862647775358, 130.75885557043298, 132.49565045771854, 132.89570404179216, 135.58229792583006, 137.36523170169397, 137.73535748648598, 139.74411400994705, 140.14613929869358, 141.01672528657195, 141.6542375864841, 141.78860769466712, 142.437152708377, 144.19816804795485, 144.44795201370951, 144.53661563160432, 144.80341363395888, 146.29795336715148, 147.00680102469619, 147.95174363209236, 148.26325473953335, 148.60138560706383, 150.56315361325349, 153.81789968040479, 155.11390900730675, 155.22781533625803, 155.56900045662599, 156.18870066678784, 156.29546916275382, 156.93516680172144, 157.04522453545357, 157.5006815984656, 157.93397576963693, 159.85263852924817, 161.03910986579504, 161.78474059375358, 161.97519844590775, 162.40601388105449, 162.91684368118933, 163.82343413003167, 164.32349618740813, 164.4515110294841, 165.01403244036274, 165.28260575453729, 166.08793008997426, 166.20563933379208, 166.89008811196587, 167.80658983457775, 168.26754783067841, 168.3006145747986, 168.40910789804647, 168.44283167803289, 168.51407241547579, 169.1605285962878, 169.28665717823421, 170.03828219450111, 173.78491575159947, 173.94227755765999, 174.71605654340649, 174.75100739391328, 175.19662138635528, 175.70568338943082, 177.41009528100309, 177.67398953546507, 178.47901843495066, 178.57947824745767, 178.78461152201888, 180.05722492210751, 183.89089563680719, 185.00881921755905, 187.4246646030081, 188.81292748511243, 189.10714254752369, 192.15904034165581, 192.37836890881101, 193.6113327367853, 194.74132135199159, 196.28600946294159, 197.19706554728134, 197.58075929928489, 197.72339347723718, 197.9448397964959, 198.2101716226536, 198.51678989502065, 198.82509087961881, 198.90249192098048, 198.98051646644913, 200.57685026794786, 201.59977992004218, 202.46171828944222, 202.88486230495803, 204.03786269877466, 205.36234753447701, 205.99665103701918, 206.53226506763565, 207.49592218044708, 207.99227074973891, 209.25554320679908, 209.308607876015, 210.01387633194034, 210.48698474106743, 211.53897486472232, 211.75489399468452, 213.55293991471103, 213.70199381846095, 214.51701698171297, 214.99221241327297, 217.08199270419408, 218.40734557861822, 219.16614486203429, 219.35119073840286, 219.74805002033915, 221.40773165920061, 221.52939490725024, 222.16763413192143, 223.97245077411594, 224.57507115902274, 224.60624200290039, 226.12394598562361, 227.3854770120027, 229.95864480453236, 230.38441115355727, 230.85984700490928, 231.47779203966766, 231.52210383961574, 232.15212054514691, 232.50977290176624, 233.02387055249926, 233.87473395358245, 234.44522928865371, 234.81309442361828, 235.10822151383991, 236.20788151364957, 237.02729141103205, 237.4971517046902, 237.59350768799919, 239.73992572325207, 240.98367430362413, 242.92348373824842, 244.04235570342351, 244.81179077719494, 245.02698389356482, 246.46641366888602, 246.91325706719593, 248.63549131769378, 248.76405849362845, 249.82281677124456, 251.08427931978602, 252.30933410587704, 252.4904348243679, 252.73236943754935, 253.05779674146277, 257.07039774511657, 260.65944218980917, 261.02251104858192, 261.55111653400053, 263.07670085839169, 263.4179000127632, 263.49810352305786, 266.91280602164505, 267.16553016506555, 267.9724654021345, 268.33617363905142, 268.54175585363532, 268.70109303412067, 270.18532384142645, 272.49839015544717, 272.55126241082485, 274.29612975185898, 275.06026531243566, 275.36214150748782, 275.75869159246042, 276.16903948779412, 276.55865361419683, 278.20329236015243, 279.87363134226166, 280.00541743273885, 280.05809607223784, 282.23814472984373, 284.16388624914651, 285.39777663676847, 285.46840096280704, 286.80253105241866, 287.11324336782167, 287.67606204815206, 289.89837963198994, 290.41595459596971, 292.2826992535222, 292.77444136537679, 294.49340702685845, 294.58830177607484, 294.77502563666394, 296.19804828097904, 296.22571430850326, 296.66830332998154, 297.14606287842844, 297.75695303757561, 297.94117931025926, 299.51391699683717, 301.37486723755495, 302.32180096794201, 302.68320483308702, 303.71725564874106, 309.19969734835598, 311.40499828595557, 312.82232492314341, 313.33358456723454, 313.80303785849821, 313.8766684141865, 314.80171591202901, 315.10878274901393, 316.47525726321555, 316.81128566798861, 319.00504115191927, 319.25833488889447, 319.8157045263174, 321.6497501680289, 322.08539465099727, 323.13307917965506, 325.6888860809359, 326.9125784086151, 329.0583631394349, 329.08474160451851, 329.96875648980648, 330.29993724569499, 330.47943167932908, 330.61024853293469, 332.67584234200331, 332.9136718236698, 333.62777140536724, 337.55605935413433, 338.63664174708197, 338.77565940165147, 338.99604060813579, 339.72899142213907, 340.28553479890422, 340.8961107670242, 341.22251450697718, 341.40197457048265, 342.09957583380168, 343.33544849458906, 343.35934840275735, 343.65451605323966, 344.29892452094572, 345.62584843021347, 348.02357887655944, 348.90001353187188, 349.84195585435367, 350.98155446621138, 351.44630863262375, 354.09251884455728, 356.16330953648509, 356.53745688177145, 357.97940758458128, 358.56858464241333, 358.96916063862255, 360.05675420524989, 360.76351225194583, 363.28874243729371, 364.5528222417019, 365.81279285722349, 365.87631396454225, 366.26748812028654, 367.22179636004222, 368.01953446389615, 368.79277994627307, 369.7009643153728, 370.18583535427609, 373.22638477718266, 373.45442899786343, 373.62155267807401, 374.5140958062359, 375.50502321096877, 376.76819123571659, 376.90650888692932, 377.55653662693436, 378.11238300117009, 379.89632380202477, 383.0494878014544, 383.40216202811678, 383.62912437888167, 384.22416615814097, 384.35162255932448, 384.41542029158762, 385.50782367611731, 385.72672066323889, 386.50231275960772, 387.40258789681388, 389.00301837237873, 390.155751845753, 390.91443615647052, 391.39865820349559, 392.8015071925243, 395.33738134088662, 398.69413548650965, 399.01367424232728, 399.49877755196104, 399.72382750562457, 401.06858125636018, 402.07999645938861, 402.11090528546924, 403.50733314074904, 404.07978200650291, 406.82277603722588, 408.38684833690269, 408.67046185442121, 410.17567549725857, 410.9710340592664, 413.01172543054167, 413.42205415372121, 414.24077067245184, 414.43793591666622, 414.9827834959105, 415.85562655755245, 416.12662868092752, 416.91865835989552, 417.31364678148429, 417.79399844383408, 418.13154063200068, 419.06183292641913, 421.26035890502448, 421.32378914508405, 421.61155480381319, 423.67428779788378, 424.12098276457664, 427.71278595461632, 428.34883423826352, 428.80698608741631, 429.4514270129194, 430.00533754818582, 431.04675000371685, 431.07139123308542, 432.70426683221206, 432.90222844689799, 437.30074310539914, 439.13628522472595, 439.28638867738101, 440.60945966358184, 440.66390644138562, 440.94125457438207, 441.32657727433912, 441.75631048331701, 445.12056960481942, 446.84933113484101, 447.85207930066855, 448.15543984568433, 448.56248615043864, 448.79627060624449, 449.67527342175237, 450.34770165319583, 451.79792821170292, 452.03391043647173, 453.70364078665608, 454.2243910384945, 458.33154032945401, 459.2542190160064, 460.12369476697057, 461.21075464871382, 461.25843888608347, 461.95072748995227, 462.10539082802114, 462.76246402760336, 463.43961730419511, 464.33088198098483, 464.45896591441976, 467.84469472374633, 468.35701574172168, 469.47597602978379, 470.55485994945025, 471.7345613058551, 472.22097475855873, 472.66937713872613, 473.02871201903457, 475.29280182665343, 475.67337776520969, 476.56730875333631, 476.99074225583519, 478.47054611787064, 480.45100442631656, 481.05424262968739, 481.75772255055017, 482.49516811779262, 484.09486710100435, 484.93893486272907, 491.72623963323173, 492.10810097997762, 493.29006859967802, 494.00696934654189, 494.82054193561521, 496.91807905717991, 498.00962740811957, 498.20227195521619, 499.6562231839107, 500.0269709642115, 500.25956318780936, 500.57888876886102, 501.37851397500003, 502.44741517278095, 502.92195756082754, 503.2645941253283, 505.71346333923691, 506.70554128595126, 507.06263435819528, 507.24478219928534, 508.0519950472542, 508.82374955631178, 509.39457488151214, 510.28090101915819, 510.85007849461499, 512.21548857780658, 513.95884524421683, 515.65911318802955, 517.27327535339703, 522.80719677754121, 523.6982353507442, 524.73986245053732, 524.95556205221067, 525.46475952676929, 527.05875571486172, 528.43400086746328, 529.31963169757216, 530.36983507919899, 530.81213992423432, 530.85631358846763, 531.0517305222844, 531.2763137716363, 532.05243950237548, 534.6649465893255, 534.73192436239049, 535.26449642228465, 536.22533449824925, 538.05839382342435, 539.25849875798019, 539.6425762537491, 539.69453455010671, 539.77026904439629, 544.43482046276188, 545.57572788191771, 546.26100156080395, 546.84925311407949, 547.25514511302117, 550.51933619513193, 550.92632453560441, 550.96512846406938, 555.50143931317052, 556.08537856467194, 557.75157629259456, 558.89360848717797, 558.96989969153287, 559.63351846429885, 559.77778206597009, 560.15776610058276, 560.9608211881748, 561.15015872791957, 563.21057232454245, 564.73608599190914, 566.99794338729316, 567.14141403833651, 568.25581998615871, 570.4754554279109, 570.62298823352444, 571.1368523560991, 574.40750234022994, 576.68927213968038, 576.75981169408874, 579.05754641142858, 579.75746219727955, 582.78401044857594, 584.7280520082204, 585.43955850036082, 586.72890889737494, 587.20794294590269, 587.27122655035612, 587.38059089727494, 587.47891696367924, 588.70779296693206, 589.39614914578351, 589.80753910337205, 590.22551130676027, 590.38827209422232, 591.72091601025102, 595.12404307952295, 595.95688267130265, 596.05316392761142, 596.88819013823922, 597.3702937375898, 597.94020788540706, 598.98546647273292, 599.53945315593114, 600.08393383298721, 600.1601133081939, 600.2560689440935, 600.31227819457638, 600.71309963900478, 601.52920115489792, 602.06922542645657, 602.62724072724495, 603.10806788601201, 606.00750060793223, 606.08857785956081, 606.86077155729606, 608.372456481379, 608.87330005778961, 609.03294323453167, 609.13011776641054, 609.31824244313339, 609.38863117811172, 612.40473160436591, 612.50275815602231, 615.47815992117376, 615.98332833836912, 618.2166984715667, 619.71907018286856, 620.3765904461801, 622.6989978073741, 624.25630226686474, 624.75926608390841, 625.33488643282203, 626.03012568237205, 627.59576644856645, 630.33896949607129, 630.37826961947178, 631.06275971489981, 631.78132254018817, 631.87395853720193, 634.98785173455462, 636.96058126219532, 637.05274083272047, 637.2373645933485, 639.27925862174413, 639.72004649894097, 640.65821793607995, 641.32123698828855, 643.09771065318716, 643.3605272325226, 644.53384120991893, 644.81997161082381, 645.80320569059359, 645.94981741693539, 647.41265791313936, 648.10169218874523, 649.49609104587705, 649.66085233509227, 649.71621311030219, 650.3604709338457, 650.65821714523668, 651.47879570898681, 656.10620534484997, 659.22096263775029, 659.37727282528977, 660.6053573983487, 661.76507958774641, 662.27392238435607, 663.21487767695328, 665.88074011603919, 666.09555947368722, 668.93876610064774, 670.25889890656174, 670.6608818572164, 670.97750929212259, 671.07075352101469, 673.44662642480637, 674.17321677590644, 674.4031196989821, 674.54188422541938, 674.80526404275088, 677.15770337821527, 677.62665407359975, 677.91851815201142, 678.48912429999712, 679.2177275920576, 679.39200120534667, 679.87065052993842, 680.04137448009067, 680.14909067789267, 681.97268608269667, 682.46214246261491, 682.61368984303408, 683.46810656636569, 684.10338657401405, 684.21047162408877, 684.45293657698426, 685.91284016943689, 686.91155293474014, 688.12611745339439, 688.15910122376545, 688.23914301511752, 688.97250889267389, 689.17811011142157, 689.2248559389061, 691.30726308935516, 692.53175375874105, 693.1357340285939, 693.66793755981348, 694.45765519041299, 702.36306261747359, 703.60175828994477, 703.70958784501613, 704.36945772603497, 705.9001080593456, 705.99395974943207, 706.37398928215316, 706.54553844862107, 706.93972833725127, 709.85588023316029, 710.17150534769121, 711.56648920686712, 711.67557602167949, 712.08068015410208, 712.9758304362424, 715.32737356340419, 715.45352709935037, 716.33428952242446, 718.73437717429738, 718.98563475465448, 719.37456761843055, 719.45182981582104, 720.18941677225223, 720.60412482930428, 720.84276859143756, 721.58593859814994, 721.61667611445318, 723.73311949991273, 726.48498810676483, 726.51904615923945, 727.0623665931829, 728.63082692746855, 728.66035046397326, 729.05431147727063, 730.08355771573076, 730.85241424864296, 731.11832896958174, 733.3690611012554, 735.05056641376666, 736.2035741351948, 737.16712226960965, 737.21181932960565, 737.76819531592218, 738.08373979180146, 739.2958101744025, 740.10607576274629, 742.21007077699937, 743.0316992271147, 746.88033291997817, 748.12752288643617, 750.36520331070551, 751.2248628446207, 751.75492967395178, 755.33900177808255, 756.95817947441185, 757.10347437864107, 757.19737186671193, 757.23345789447058, 757.65962484954503, 757.85284132456934, 758.2777014313474, 760.94118519683036, 762.1656664792406, 762.59622467266661, 763.88115840107355, 765.69303664432323, 766.63506981694206, 768.29744746736935, 768.36676496961161, 769.26604857696009, 773.94191593040966, 774.69139379973615, 774.96035828840945, 775.47840109175502, 775.87125547426365, 778.26607421554058, 779.45288493561065, 780.89547240283264, 781.26063507976505, 781.43106735156903, 781.89270365539471, 783.1143352943908, 784.85251526920342, 785.96949275265104, 786.83348934783282, 787.27859371381589, 787.41504526945459, 788.50675680794461, 789.61765309080249, 790.65862410067132, 793.22510939165636, 796.24319981598194, 796.4075601533782, 796.6653313159353, 797.72928875726745, 799.04955951222905, 801.67993774070749, 803.00101171685799, 803.23411078638276, 803.47829558543719, 804.18060052479768, 806.99729940281873, 809.48889450521392, 809.68951789965547, 810.29160119121957, 810.54437528319113, 811.16914932044892, 813.57789783659314, 815.45058078268028, 816.32911288735147, 817.09822796447338, 818.63481962712581, 819.19674671757184, 819.55535133596118, 819.67989273037176, 819.75793141935105, 821.99467605663278, 825.09535760970834, 825.3066273183066, 829.00233385010335, 830.65556159607024, 832.60295973818802, 832.72384494106439, 833.31744092556232, 836.04732862295953, 837.8049246792408, 838.00703401075646, 839.63398760422888, 840.25491591716445, 840.43563338441163, 840.62173337496347, 841.10920627566873, 842.3847277087184, 843.66655146280686, 845.68731629992033, 845.7288690556195, 846.42068221045668, 848.50707623555274, 849.65416022874638, 851.80378397231061, 851.95059439717511, 853.58304417840054, 853.84916169735959, 854.31389426637622, 856.38214986149751, 859.66884626621697, 864.13351792761091, 864.35225312721047, 865.21468908808731, 865.88947593269143, 866.42250831816955, 867.07460861422521, 868.76675494383971, 869.24450460355411, 869.96225164326336, 870.00272319788269, 870.91419455099742, 871.80008294009724, 872.13142439968385, 873.54241253872783, 874.42097804062064, 875.40939164289546, 875.71339485336603, 875.96443007499931, 877.75121304530785, 877.93513217481666, 879.687007240252, 881.21839896162362, 882.11985273991206, 883.16540269101142, 883.22981501029153, 884.36051736670879, 885.53338960945212, 885.59891358291372, 885.93130311835159, 886.87100783403048, 887.01827708775909, 888.29890076435186, 890.574333859278, 890.82751299194138, 892.99659413242478, 895.37949151601185, 895.40540649996296, 896.56970127430122, 897.42547794891811, 899.60257444632134, 900.12176872792838, 903.18693899373727, 905.53190926871832, 905.74113782458301, 905.77512969828615, 908.6687350946986, 911.3614514892887, 911.95168728630688, 911.9782731680441, 912.90800506996152, 914.65515797594765, 919.9953357807268, 920.19522980148406, 921.17101482268333, 923.4936896400385, 925.43780694318525, 926.45402437815085, 927.72537880577556, 929.11268724710135, 929.72088873940754, 930.73110409490732, 930.82315784785203, 931.1298734284627, 932.12393247366629, 932.59562357443906, 932.7276377566925, 934.01623112728691, 935.20829359427512, 935.25072681870495, 935.55558292279045, 937.9851651818384, 939.39927055999317, 940.00781441043364, 941.79056797545252, 941.94788955376714, 943.1263729836071, 944.84709016002, 945.23381916941105, 946.26094003520654, 946.44975542043892, 947.06342553839681, 949.45949266291814, 949.48413420590225, 949.83526044212465, 950.31088369879103, 951.22565935323121, 951.92042543845707, 953.46842550013901, 956.09019555825068, 957.11593473918231, 957.43692024531504, 959.02322274084418, 959.16136057317146, 960.27019184590245, 960.82427170763003, 961.44453210108384, 962.05161404140472, 962.61416435879312, 964.77543556740568, 966.12501006471655, 966.29700524725013, 966.5061028107674, 968.15840543190495, 968.31219872220345, 968.54949289807041, 969.21088125153528, 969.94239971486934, 970.81746858249755, 971.3693893429911, 972.76823209604868, 974.82130382154742, 975.10854274360611, 975.4011031642234, 975.73719157970129, 976.53305480298366, 976.93295531146157, 978.43875481892496, 978.74088532929466, 979.28516703814387, 980.13631743378312, 980.16316924120042, 980.49642057808171, 981.47685261001732, 981.75809510030467, 983.89340054200636, 988.32607739732248, 989.65634244988678, 991.20218030427452, 992.76021343490731, 993.30006319562335, 994.09839106228185, 994.47546369598194, 994.8050693556537, 995.37858944428979, 996.06100671336003, 996.48576059055324, 1000.3542445496311]),array([93.633738421917798, 96.428111337031339, 98.146194487331044, 98.923335199261075, 99.171275830305575, 99.507078214154035, 99.71817814417399, 101.811454672941, 101.99889327227169, 103.03145139794781, 103.05351114047296, 103.64295218940214, 104.1501260117869, 106.17194882361989, 106.67527990369858, 106.77948105169683, 108.69401040513964, 109.13038717851083, 110.29460840479581, 113.98272185328278, 114.26145366358114, 117.17311596403452, 117.40624835921282, 118.1157224521701, 119.12088099016252, 119.14999246931994, 119.48183595320384, 120.01576928153655, 120.71543611948469, 122.19459072330454, 122.46187117278716, 123.26407147223588, 125.03153621634129, 125.95837026722812, 127.28363046566567, 129.31274611718069, 132.78882145718114, 133.48510181656295, 133.51804672996496, 133.86804849327856, 135.51716902744442, 135.79979105816037, 137.49932224501845, 138.29528919367232, 138.48181997500021, 138.56205927556687, 140.66452654213415, 142.16651137543082, 144.2858700318333, 144.69801180935312, 145.10503437198966, 145.20463859558907, 145.24845154561456, 145.29725040441224, 146.69684725471913, 146.80709446754986, 148.78738491008903, 148.82901347623419, 148.93908488860998, 150.44895516949359, 152.04076034300371, 152.24009950392863, 152.55784675027658, 153.62423228691603, 155.46109660841353, 156.75374112046927, 158.78372006073434, 159.35284055116645, 161.55124106705415, 163.25236751001634, 163.53572054616322, 164.23210995001998, 165.19183668509325, 165.26961056881629, 169.83143143493811, 170.79863703942206, 170.90011756097539, 171.84488645910793, 171.94124395886948, 172.16396222097657, 172.77436703956403, 175.71859057639, 176.33002061613664, 176.69339347460485, 178.3975758566207, 181.91971567654051, 182.37169302820436, 182.78382224366595, 182.97636745170078, 185.32737140165673, 185.64268836843704, 187.70917096892103, 187.81147272468547, 189.18768291665222, 189.31660182024461, 191.72245970821555, 191.82723275659697, 192.67540467812336, 192.75115298866351, 194.36229679897451, 194.64106066823283, 195.01741958380572, 195.61749137348471, 195.90551623981952, 198.823962677483, 198.8614207883696, 199.68477692058244, 201.95285257842716, 202.27859761401643, 203.58412363684155, 204.15922213255806, 204.20556475904871, 206.6749197406773, 207.12008235868731, 208.6258530867521, 209.93870239471198, 211.67270445089892, 212.33176596043629, 212.45430940071023, 213.75781302243345, 214.30299808633413, 215.00165234080464, 215.83358598209469, 216.65888180213986, 217.20602240998707, 217.49767811753006, 218.36267636873035, 219.3991456771148, 224.15265427016286, 226.44678259863738, 228.30167852866063, 229.74702854014399, 230.65711467513475, 231.52120493190668, 231.75527661366229, 232.14927803560971, 232.33142337057896, 234.99445608694265, 236.06744822306339, 236.54034276825979, 238.23539534273075, 241.30306666515597, 242.02287903761891, 242.09776363296589, 242.42685993662892, 243.85872526942114, 245.4123228520271, 246.45474133874453, 247.92284806393337, 249.1609808197471, 249.33811905243823, 250.78005441861239, 251.47787217937395, 254.95775882051612, 257.18888107456166, 261.09470136565136, 261.85753187953895, 264.09535619281263, 264.29069210734178, 266.30819192918534, 267.91424403355882, 268.83207213652042, 270.82273558957155, 271.10502731637172, 272.77754666722655, 275.26924784146848, 277.70548529407023, 278.20682885690991, 279.25040817896769, 279.62786722681022, 280.81823936374775, 282.07402604037111, 282.49220673270628, 283.05526756449069, 286.95174876409686, 289.47575992325471, 292.09267896585266, 292.73177758374607, 292.94603176603329, 293.13771545740008, 294.20678625630842, 294.59258478776303, 296.22272769099789, 296.41770956205613, 297.6721756862658, 297.95682752375029, 298.35685000072573, 299.27412819057844, 299.72031683669354, 300.77754354642224, 301.16668647360518, 301.34297700169935, 303.9963848730572, 304.54714266264108, 305.11589347654291, 306.54966696316762, 306.79633225162746, 308.03943784018867, 308.27459740379805, 309.05696116225249, 312.5678611208001, 313.38433594427596, 313.88964788447856, 316.08389303851334, 317.5028310960455, 318.1944618427645, 318.61217844782328, 319.21431862366825, 319.9300687232863, 321.88543925749781, 322.16347767404505, 322.4874572192179, 322.59885067953689, 322.94485192282968, 323.339854928102, 324.68871206190607, 327.02351506918893, 327.83053587839174, 327.95704542250996, 328.77523579038854, 329.40880757214967, 329.58277615606733, 331.59180753283852, 332.38666003460446, 332.55721504177478, 332.9042074055854, 333.36555871320917, 335.76880531464781, 337.4439322223775, 339.19911905601771, 339.37407287098944, 340.51905332574512, 340.71554073471617, 341.46653275881317, 342.13282772074268, 342.6068354769431, 343.30899186986716, 345.58197834259852, 346.97480956983236, 347.66780843186933, 349.38032573079687, 349.60641973840183, 350.05802974329987, 351.65321237112795, 352.33669030555376, 352.97007471061374, 355.71032829736748, 357.18480652720643, 358.78269410833059, 359.66284751292272, 361.70571456712401, 365.51092166025592, 366.51946475264089, 366.92415835462799, 367.29911897583099, 368.90095989493676, 370.93497842167415, 372.46310268773732, 372.55426303974934, 372.61362958730132, 372.67670989422874, 374.24121256385956, 374.48345372206359, 374.89809371986337, 377.26767147520883, 377.70587931688846, 378.70506216615422, 379.45886766534619, 382.5132829467903, 382.78194726846044, 383.3179273679562, 384.35007351936804, 385.07878037836457, 385.46425193819147, 386.00859136731418, 388.16340037338921, 388.41801913088204, 388.97064367263437, 389.94746654756295, 390.16578351283965, 392.47926518059251, 392.85610962936971, 393.19856115036259, 393.70361826508304, 393.79312954199651, 394.30236947338921, 394.63967968376124, 398.4914100817295, 398.73127478443558, 403.10666172336846, 403.49782875784604, 403.56963660382377, 405.72338122929449, 406.00424673777911, 406.36819898204249, 406.59280674695225, 409.94224600213568, 412.63295842613661, 414.06499391616063, 415.01576946929475, 415.77303338333479, 417.3310850509344, 417.92131682396843, 418.23020916709129, 420.37616379661762, 421.58391197249523, 424.10667870274006, 424.77737028420222, 425.19234645793586, 425.35040641430095, 425.9758443192818, 426.17028710192903, 426.22675112387958, 426.71702993376647, 427.16722405723368, 428.58438620752059, 428.69169498180531, 428.72758429797693, 429.60375703489683, 430.85060059872785, 431.16121728679241, 431.60757737943476, 433.53151927375683, 433.83821539304995, 434.67385915018997, 435.47293294894365, 435.98150844137359, 436.15488268561705, 436.98496902107922, 437.12883602288957, 438.69475475184788, 439.01357629327111, 440.39151070618612, 440.99241937882323, 441.16819495759756, 442.20265526559194, 442.69402455549346, 443.83828265067274, 445.4266744310508, 447.0684086800506, 447.63515256629159, 448.36222390302129, 449.13179021197141, 449.31226608242002, 449.48034191658564, 450.51999717765301, 452.35273947662529, 454.09171813755722, 454.13056253983154, 454.63120437629988, 457.52620302627463, 457.8481780461837, 458.4029274594817, 459.48455203928978, 459.52971824192059, 460.36096081567109, 461.2955915590544, 463.1703050104253, 464.45835317521397, 465.57911525358992, 466.02211415581991, 467.58888195007614, 469.47691454098566, 469.72678302782532, 470.25876856465959, 471.45464730969354, 472.45147564723618, 472.92559461284367, 474.8739500613566, 475.27956202545317, 476.41538185710516, 477.81955133754968, 479.08005576570963, 480.48921505544735, 480.8114369041341, 482.13924167324944, 482.84583396438444, 483.23133669760767, 484.01143241108116, 485.29570631977481, 486.44832900260855, 486.60998427029728, 487.1507900563696, 487.96553463064305, 489.97858269283398, 491.82757575493122, 492.66603373408088, 493.73885198562613, 493.77198926480577, 494.89225305593328, 496.90779816632465, 497.78761742685992, 498.36889020466111, 499.82166773099556, 500.36623714988451, 501.14045569276755, 501.36271928081618, 501.70073810930347, 502.59356711341184, 502.80725073411537, 504.25130669980337, 504.38097406427255, 505.30007965547577, 505.5130228726207, 506.07438501367278, 506.73309035057451, 507.0623469712624, 508.57894211274652, 508.89026883714411, 509.20091551715541, 509.6623387132758, 510.23199187163232, 510.68113267209185, 513.02189773111763, 513.15721915181746, 513.29402394751696, 513.98856055047247, 515.02211475573222, 515.74526613506703, 515.88242074501363, 517.15616294200129, 517.6591778228476, 519.59939381970526, 520.53701462720119, 521.56183872293514, 522.20120023350103, 523.36397524842459, 523.75162965929542, 525.10479277681998, 526.33035894573459, 527.10101912314826, 527.44187542993052, 530.1170130577741, 531.97867403189468, 533.85275332920219, 534.59640935957748, 534.9468008105531, 535.30076586157759, 535.84875416590421, 536.51077628000644, 537.01087125061213, 537.12740864539944, 537.32683801922281, 537.95424962705238, 538.01671658180999, 538.13732183902482, 538.59302464945029, 540.4711231461647, 541.82749595156315, 543.02410098064979, 543.46757017442064, 545.06170485501343, 545.28289682441209, 545.61561421041631, 546.06082263291864, 546.49934755202696, 547.48841256554363, 548.39367575767528, 549.5868701890081, 552.41291000369927, 552.79022282384324, 553.23793295808571, 553.3602580322289, 554.6235231155938, 554.67359150863285, 556.32579140948781, 557.60019882855397, 558.6630007451497, 558.98621756385876, 559.63217119818319, 560.76935759849857, 561.34828715351432, 561.60938093270795, 561.90051321774172, 563.33345559772192, 563.70728005138119, 565.70488265539541, 566.19008884389791, 566.52403949596737, 566.90239792747116, 568.29454262670311, 569.80242403858153, 570.88430728103367, 571.09364760132655, 571.29200879374366, 576.41029770446482, 577.03821754972932, 578.15514429559835, 581.31060247627738, 582.20797292258555, 582.5599640699113, 588.10297007145334, 589.00768690266102, 589.26896077440881, 589.30903029944488, 589.66250510506302, 589.92328317435499, 593.83244811669783, 593.9655676725049, 596.7696402123612, 597.09177973230885, 598.63200347643124, 601.23798125012945, 603.66108448206592, 603.9388823402054, 606.99389667872856, 609.08916702073054, 609.6019591132906, 610.05509313243863, 610.67005410582101, 611.10323733577616, 611.85696225918605, 612.56759006331504, 613.42566174944238, 613.59670346492794, 613.75053111433704, 614.8421542955881, 615.7797910614081, 617.34908385375411, 617.53969337484421, 618.28309988024, 619.50922608760447, 619.98334259473427, 622.67748890214432, 625.59982830132537, 625.93312912661622, 626.16332160145203, 626.22501705837738, 628.40227214388733, 630.29464600078859, 631.83500887110984, 632.43135883603918, 633.86459403534877, 635.79406623956027, 638.17943909640371, 638.6485729021731, 639.05557745374756, 639.47035531016388, 639.58570498231336, 640.04273129132264, 640.40865225530115, 640.9320437877127, 641.01114400845017, 642.15933610674415, 642.56272617950935, 642.60258111134954, 643.51355374785931, 644.70668122201062, 644.73626859164199, 646.19604408087582, 647.05133833524837, 647.92909521225533, 649.6397733661521, 650.01219401660251, 650.46430182444544, 650.73255242984578, 650.90265020873608, 651.21305670524112, 651.86263297508663, 653.07298828724333, 653.58856497790498, 653.9058974776525, 655.03359119218794, 655.06086727381569, 655.5147570264478, 655.80966812247198, 656.23659484890152, 656.57479595004293, 656.92663990811843, 657.76650628936591, 658.35710938965371, 658.73380074650038, 659.66563477900627, 659.68792579536682, 660.4030308934241, 660.95846620155567, 662.05444114127897, 662.84259976249575, 663.92958026219981, 664.02493238111003, 664.55331071754961, 669.48647179850047, 670.52350469924511, 671.90888207078774, 672.08118836754352, 672.31891066946605, 672.40323871329554, 672.7089433219694, 673.63367547478424, 676.34796762011661, 681.44600296665828, 682.39345966077872, 683.88254475262261, 683.94468320025737, 685.83106719485772, 685.88024380196953, 687.63401391728632, 687.7983894170867, 687.86236927990115, 688.26119015433005, 688.53263665950158, 688.71642112214852, 692.92805326118355, 693.91536388705686, 694.63457223582031, 695.45473475307369, 696.70210085969632, 697.19107129600116, 698.47234354815555, 701.5631663705351, 701.72777923024717, 702.09041015092646, 703.21172848384208, 704.79733099730925, 706.29946817685027, 706.90918383433291, 707.75649530288297, 711.20066643549831, 712.28862813623562, 712.71243118669622, 714.963970902185, 715.91509764682507, 718.57993783137272, 719.298370515594, 719.44845428867814, 720.00548869700856, 723.50890382241448, 723.7069511543624, 723.75264885397019, 724.19933229560559, 730.11497501570852, 731.65682523209546, 731.7945529937075, 733.5536153000852, 734.10155891211059, 734.26129245104096, 735.13389245370649, 737.31082820985773, 739.97266659931836, 740.24710801162996, 740.73917390441773, 741.66534125653391, 742.11262124046664, 742.19672157828199, 742.39563921552042, 743.59269602621532, 744.91116071112265, 745.81245718969762, 747.93913896121808, 752.04898253914905, 753.7255517215176, 754.17549833182818, 754.40998552989333, 758.73055954484767, 759.70986361497637, 760.68122836145051, 760.95351005492557, 762.43673372770024, 763.13062695655867, 764.25351414785132, 764.69597198019585, 765.45206734930218, 766.75528099779274, 767.83675922670341, 768.00203436294953, 768.41607844775865, 768.6787392687246, 768.73515519107184, 770.81174283698192, 771.18620920240312, 772.0478715013528, 773.1134403236922, 773.47399054505104, 774.48304250487729, 775.2496117440013, 775.36602035809528, 778.25472582294628, 778.28502801256957, 780.50373640466796, 782.02814506351388, 782.32790979453853, 783.4962703439287, 786.68708792171583, 788.01567163063908, 788.08194891282108, 788.68873018372199, 789.80933354255558, 790.23438265899722, 790.34598748210885, 791.0076083557891, 791.68805651260811, 793.12783516038826, 795.67933379443866, 799.15776083956951, 799.24813899473168, 799.31552742746942, 800.0405818208427, 802.86166138895953, 803.33333661665984, 803.60748585110116, 804.00451964714068, 805.63828031706817, 806.52575784549492, 806.62319091417578, 807.0045579517855, 809.18173725405177, 810.08994386250902, 810.99577142095382, 814.61701714743083, 815.05756240115522, 815.14268467390434, 815.52233467504459, 816.22249385279451, 817.34015733521767, 817.42126952170554, 817.52077651924878, 819.90581386622387, 820.6979092032235, 821.63336490975826, 822.07502742181794, 822.18298315941979, 823.83548877959038, 824.14109891780333, 825.13302597633526, 826.51913691062884, 826.69344382207055, 826.78453655808983, 827.01362961154553, 827.12367083393042, 827.64949638746009, 828.19118033424286, 828.60054636064922, 828.65063075319279, 828.98205284091989, 829.18842191268095, 830.68475352558005, 832.14215279949406, 832.26795260861047, 833.59318836235491, 835.45108878304814, 835.68695489745937, 836.55811443261882, 837.64154993307147, 839.7232038695455, 840.08682440012933, 840.49422921797361, 841.33382257768642, 849.84223943800043, 850.15088556921421, 850.76790149075555, 851.09944277046588, 851.49412754029242, 854.34386035721218, 854.97116588402332, 855.15981112663792, 856.4814700907823, 857.03202735389436, 857.61965371439669, 858.20501331945593, 858.30907563442474, 859.24782562498172, 860.66572653421042, 860.9604909121224, 862.41949207720438, 862.52006228798768, 862.65693367038966, 862.78467618598222, 862.85757143912224, 865.71539619361499, 867.11775012906048, 871.01855108141046, 871.36667446807985, 871.44286195062728, 873.34033328396401, 873.86987991978435, 874.22858263387502, 874.58792854455203, 877.39905217404328, 877.55926222549499, 878.92499043564999, 879.26874446613851, 881.70347021081147, 882.52517022954214, 882.98054648498362, 883.23435826046591, 883.71544087645566, 883.89915462138345, 884.5277601129194, 884.55102770823771, 885.0575627017771, 885.57044068580444, 885.88841192348741, 886.22321526084647, 888.62050218271884, 891.72224085173468, 891.81619897304142, 892.19584800310008, 892.2540776482856, 893.06771923996075, 893.63720435845153, 893.73044954595696, 894.49701853027659, 895.4400634161052, 897.26090594272557, 898.03217046495627, 898.13325570987831, 902.02410565125228, 902.67547602226659, 903.21920367182167, 904.11001451350091, 904.17079144942704, 904.99762326758469, 906.26963414524755, 907.71252005982751, 908.83857080914777, 909.19047576644891, 912.19732068049814, 912.22981225464105, 913.57385180308188, 915.03809390409936, 915.79273902295881, 921.37403568165234, 921.73802035350275, 922.64723127523621, 923.22706452332773, 923.89760258832973, 924.15221414604446, 924.92249004813345, 924.98471786951882, 925.59251165837884, 925.97285888855038, 926.63089606389224, 926.65779387177565, 930.10205989331712, 930.56699243704043, 930.95980593305728, 931.78839556490084, 933.20027464719078, 933.52801516030945, 936.9467014064262, 937.4915764392141, 938.26951935056468, 939.96144754318095, 940.11936253698025, 940.42559926507113, 943.26508480307564, 944.10916525258904, 945.03173467102454, 945.5531594858337, 945.5800366938073, 946.26600933947964, 946.501573795946, 947.72024842905478, 950.77824965941466, 951.67754050628434, 952.23696472692586, 954.15506395941759, 954.49920153727146, 955.21917729701045, 956.57819906395878, 957.72796738418447, 959.3095479717997, 962.8051718359734, 965.46557842320419, 965.5025383448733, 965.74455142852753, 965.9559666412456, 967.24703632300964, 968.1925154702501, 968.60940703833967, 968.70746192228683, 969.70893084345266, 969.8090032376715, 969.96906320383243, 970.10001067225119, 971.9368940167634, 973.62131018848299, 976.2259519592609, 977.86689170466582, 979.97008599973947, 982.35699184188127, 982.88624348003793, 983.65111011675083, 983.87784360281057, 983.89979820640542, 984.61941671067109, 986.53702816813336, 987.0750076308999, 987.78174870994292, 988.00819914066801, 990.50672536137199, 990.53047747385222, 992.78659494940098, 996.01262254686787, 997.23195906139404, 1001.3110786817673]),array([55.401548579626883, 55.77759603115647, 56.398446298667011, 57.019963102128088, 58.465388240324593, 58.760276214381939, 59.105806992221218, 61.989513267470379, 63.606622842015696, 64.473559426485636, 65.634031954582753, 66.096801592987674, 66.958065756759666, 67.125669155610851, 67.46529383570261, 68.073677176095188, 69.363564354211817, 69.536194211636953, 70.945169982701145, 71.096888922314221, 72.396502351378317, 73.19491847622534, 73.803600034859315, 74.38284553996435, 75.474728196553102, 78.05402966534254, 78.122187200469781, 78.992026515703486, 79.418621571534842, 84.092363513708975, 84.212367632961829, 84.761115060725103, 85.279484699451473, 86.833520417403832, 87.687421196798027, 88.804459783835753, 90.253063344053174, 90.762721189124022, 90.878057618639076, 91.600408238135472, 91.642223002473116, 93.678184275194766, 96.797103921139666, 99.040733588916098, 99.572248347651183, 100.94083790616783, 102.09161108091209, 102.84574951680034, 102.91086876870638, 103.19765072618189, 106.40905675326421, 106.63405836569355, 107.20560422731573, 109.51353837200377, 110.33061915772279, 111.88312112143714, 112.44844334295281, 113.17003162898361, 113.30495707480939, 113.39347236767792, 113.61749043089573, 115.16316116773476, 115.35941977925661, 116.00457102040372, 119.09089648566436, 119.39687608865486, 120.17190112109212, 122.73734735994994, 122.94181024762629, 123.05972142214493, 123.4904069859238, 123.67607374962438, 124.79370599860728, 125.0110017359593, 125.76588373181723, 126.67961706644834, 127.77677604673943, 130.66421502293619, 132.17064873365425, 133.37377892062312, 133.51170167550106, 133.58002714526222, 133.61390476545699, 134.08537082578994, 134.21260436582216, 134.43715707692061, 134.70185435327016, 135.25033248473497, 135.9011320737894, 136.91211716274466, 138.31882078252937, 139.37615679511475, 139.99237351156185, 140.48482723200968, 141.21902514040301, 141.56175845730479, 141.64775810405882, 142.43475516861358, 145.08808679197284, 145.2121982665069, 146.75627720894178, 148.29878088729183, 148.54836240773841, 149.10567963813301, 150.78771613975147, 150.88681796229071, 153.80817444916065, 154.39671606395714, 156.42053529220379, 156.64437338766194, 158.27441287645175, 160.22370016515299, 161.70154237267479, 162.19592759020182, 163.09846083898458, 163.17406071460164, 163.20878411855674, 163.47581684877213, 165.26023944507972, 166.03599276030442, 166.55846556656371, 167.47888760817685, 168.3214352458989, 170.47324185635867, 173.28724739124269, 175.07274777906716, 175.23005992917919, 177.73700521138306, 178.91351134993891, 180.38455377790717, 180.99420281115604, 182.89071713827343, 184.36708619996304, 188.43600017411916, 188.50860307043931, 190.41995118404779, 190.92885169598321, 194.31251056104466, 194.45291714922615, 194.60624431951175, 196.47245101639223, 197.09737281722542, 197.85894167106679, 198.8537229220556, 199.69650335449793, 200.05436527952983, 201.47632842402211, 201.78324386421258, 202.30406541210624, 203.53194118114254, 204.11713095933086, 207.47372788732861, 208.86314622493757, 209.02731031588874, 209.51592459199532, 212.26826353815153, 213.26246182315313, 216.09108292472413, 216.64724342325715, 216.89683313460807, 217.03191043432003, 217.25727712933286, 217.79457892595002, 218.47487367527617, 218.86745573833829, 218.96443862600773, 221.10473535368541, 222.12425084385677, 222.24776427509278, 222.37857990741713, 223.03206709985599, 223.97159098374433, 224.56672081417278, 226.54009970261797, 226.90052210107919, 227.93931714329494, 228.00279495982178, 228.41435500351176, 228.70305370841712, 229.04928323066611, 231.71120074873932, 232.11935755422655, 232.53378633179383, 232.57148240773105, 233.58837027528466, 233.92366106400848, 234.67173849830235, 236.97000120246145, 241.10352991030732, 243.444945596748, 243.91005204663841, 245.91952584490832, 246.1080430897776, 248.47700883625151, 248.58263400799979, 248.76259718335189, 249.13386086036775, 250.07566566195331, 251.03813329259168, 251.97086365542424, 252.1296797023098, 252.23134422574159, 252.3540522054044, 253.4295101418663, 253.9164386390236, 255.90470899861512, 257.66216487368564, 257.82227718664512, 259.73271977203109, 259.83119881744813, 260.83132062986704, 261.18069610544461, 261.61474852351614, 263.55409297821762, 265.28018944967641, 266.53188877009114, 266.89550424593597, 267.50829834243484, 268.00204606683428, 269.36242847281108, 270.29277432343946, 270.34997223682177, 270.80658772113543, 272.82372338646041, 273.62832470450047, 276.34551098403415, 277.59407914737494, 279.03157839778356, 279.11177055567447, 279.67356240427711, 279.95347692507164, 281.36383169051584, 282.54159220968984, 282.71322213327272, 282.74451159033964, 282.91263016815196, 286.24624918157582, 286.429102448067, 287.13643847479892, 287.32218362367644, 287.6155502929206, 287.83962641410801, 289.62321790281089, 291.20300966835816, 292.01546911185255, 292.60940709069263, 292.95188654395832, 293.56641692667466, 295.34654774564132, 296.01069816544674, 296.19310800888803, 296.74320325289176, 298.28557723708849, 299.37496693536224, 301.7042470653289, 301.78203284391708, 303.82557291565394, 305.71704844326626, 308.49963847618824, 310.44283990874533, 311.50897419298553, 311.7233767207706, 315.24569985318567, 319.32448783414867, 322.12741143372881, 322.55363732651108, 322.86921682901851, 323.02879858263401, 324.58761687339722, 326.29262015236793, 326.46851918837274, 327.27669208194953, 327.4515767200229, 329.82873109109892, 331.88738617215995, 332.35031691948444, 333.28296984752023, 333.36273694505758, 333.63051753272418, 334.79563300878806, 335.32314755565034, 336.29449215872859, 337.17471939626898, 340.07991211035488, 342.08065091024417, 345.18374872781101, 346.7560911566045, 346.83759001737747, 349.00453679909913, 351.4758275886702, 352.2111652889331, 352.34817141459007, 352.98859084634915, 353.86428909027023, 354.11852847696827, 355.53340681556887, 356.98459830468681, 361.99905826805622, 362.37155771182853, 362.59922859502643, 364.55491009294099, 364.80506907489075, 367.30862225339985, 368.2087560824101, 368.71680385793417, 369.38745447843201, 371.42105635146157, 371.96328370442404, 372.21506652206745, 372.55351803418705, 373.7154702988563, 374.64368271023221, 374.73678854270878, 374.93477404000879, 375.34354354342395, 378.87556233899511, 380.69710662569457, 380.95530946798914, 382.77818477575062, 383.94067604016726, 384.47006381367737, 384.49296847471129, 385.03877497034085, 386.34075006412297, 386.9540087044781, 387.18020529772332, 387.29120424621902, 387.50721816051657, 387.74225094682453, 388.90921132623208, 389.18069278638291, 390.01848687562403, 392.74798690847734, 393.10271891770873, 393.58528654027492, 396.98248118271988, 397.42320419270624, 398.24418946130879, 399.4877881304397, 402.00671118223897, 404.19631020256003, 404.49353075031109, 404.70416689694252, 407.12715500756718, 407.20900616246183, 408.35079109947225, 408.70163097867868, 412.41017911899684, 412.83172007661176, 412.96370048301543, 413.82383679181771, 414.30321914038308, 414.53764927838233, 414.73327047757698, 414.93099533753718, 415.46471656272871, 415.58962095050396, 417.54805413003987, 418.65699279579025, 418.79636203237544, 419.65437646714054, 420.80226164933987, 421.77773983740565, 424.4798409746021, 426.99412459763442, 427.89172049198424, 429.94565370943224, 433.39677070563528, 433.84287193863707, 434.84583983110878, 437.47671230698796, 438.16231272578045, 440.07277685101343, 441.17430941216332, 441.50722716815028, 443.81038500920988, 443.97403929369943, 448.46884501165135, 448.6088561877433, 448.63297214640244, 448.82215714885916, 449.56617811511433, 450.6392812560041, 450.87556049408556, 452.42260688852639, 452.76053078863998, 453.6378242465039, 453.91242983346666, 455.92353332583099, 456.43419609733439, 460.08778653329222, 464.47507454609405, 465.03912768458105, 465.29341097288795, 466.26123731539832, 469.05390866692954, 469.63564844732537, 470.74847251673083, 470.92984994415201, 470.97623989485544, 472.93214938679182, 473.09074903503353, 474.24863432361553, 474.38644425583755, 478.08869271285738, 479.3999739849753, 479.59394489723843, 480.21894608357974, 480.81974713981185, 481.23891622056067, 482.26415820675282, 482.51878750304382, 483.37796560033291, 483.42800707325279, 483.50065531366494, 483.53814408498158, 484.89428219547443, 487.24293230037705, 487.57407635584735, 487.70350257929834, 488.22306081780448, 490.46254335019279, 490.54123669949735, 492.91878002703487, 493.02970275491367, 494.68693461693312, 494.72306489447288, 494.9410205152069, 495.2985948980363, 495.66677283033249, 497.41783449007454, 497.45577905917463, 497.89568395838535, 498.02430798579672, 498.12351290548906, 498.87635755668254, 500.27348497727326, 500.86071543382019, 502.48905099699664, 502.68987986853085, 502.81148334620286, 503.30441803792621, 503.783423566848, 504.90408383564386, 506.99932155942059, 508.1366629190789, 508.24678068131493, 508.81757482604621, 509.15165930750106, 510.10367317158352, 513.05259697638905, 516.64445194206746, 517.35525035879209, 517.84220707493762, 519.18478384911043, 524.71089719713007, 525.58864489115069, 525.64019711236153, 526.72958505855922, 527.38389058663824, 528.19655865129107, 528.53045647399176, 529.4214279581804, 531.05616051065942, 531.45906652123017, 535.51697617951447, 535.63998032635584, 536.79288160147348, 536.94782997654954, 537.22223080015965, 538.35151218778299, 538.42206358219778, 539.94581184975311, 540.82913102712666, 541.95700341018187, 542.12918298833074, 543.51554937237688, 543.99523590404908, 545.24704797728759, 546.09909653671605, 548.02102676331629, 549.33344268740279, 552.60440637866111, 553.05998674790465, 553.28289633952829, 554.03049603784677, 555.05183690290733, 556.51509158989927, 556.79820478545571, 557.05110323631084, 558.54644552303171, 558.85460407958419, 559.64691553931095, 559.92071575041359, 560.24668242955602, 561.24441709299913, 562.59757488636706, 563.01409107718484, 565.28625909040068, 565.31042585816181, 565.53615771344914, 566.07447351830592, 571.41273727610235, 573.26368935726282, 574.27523055375707, 576.18595508804742, 577.73887935883806, 578.20151571853012, 578.72817726943947, 579.02493040206923, 582.67056042266859, 585.41122189483985, 589.24951662667729, 590.28276770209345, 590.57233179884543, 591.14882563115873, 591.42643361521334, 591.59833652957229, 591.71286069579719, 592.12006707222736, 592.16345398533838, 592.40654096238541, 592.72466282912694, 592.79007950308255, 593.04980267491931, 595.13137118794214, 595.41802633473833, 598.72762674087198, 598.77247139998053, 599.56103498423749, 605.74221506229469, 607.11827480297927, 612.31884039641466, 614.30875943586307, 614.60155617831481, 617.04200025305863, 617.2344108395082, 618.51701419024494, 620.50452781832689, 621.10111450010584, 622.86610289901648, 623.61496906683624, 623.66790280561258, 624.14471235395752, 624.2899815443144, 624.43181028631966, 624.99621580429641, 625.30312056785635, 626.82440133868158, 626.87393555606729, 627.09198681785085, 628.38877047338769, 628.98751365624923, 630.50015540395714, 632.74976647265976, 633.87358445261589, 635.624412721868, 635.65250957626392, 636.04746901651924, 636.98941777507105, 637.46333630325853, 637.55680694726937, 638.77509531385442, 638.98381359161795, 639.11832417524624, 639.46529322662582, 640.01948477003111, 640.80460840655076, 641.9205473894508, 642.50195258736539, 642.53283417171644, 642.96848550554046, 643.0476857453101, 643.50061256639538, 644.1150724891138, 644.39711687220154, 644.42177757666218, 645.587373292606, 646.24720214698675, 647.49453274403129, 649.40742485851467, 650.63043770358718, 652.84561078306876, 652.87108444942874, 653.85994956804257, 653.90577227511119, 654.09833260820551, 654.22173566324921, 654.97640813555245, 655.03275026328674, 656.94389921908453, 657.19766483445574, 657.22019317298793, 657.30476660614909, 658.47455568994883, 658.84889189544708, 659.43632788554532, 661.63308719526322, 662.45845041776442, 663.82425645883347, 667.1473302208027, 668.47551216905242, 669.9967621409254, 671.87193988317063, 672.87598485242017, 674.55439540814621, 675.6905597190929, 676.39873327416558, 676.53617183788094, 677.53074330912455, 678.09853444698695, 679.23522683195108, 679.5686348155084, 680.51886024539965, 680.86745902536632, 682.12862182182039, 682.42066010882354, 682.51327285663501, 683.38411314122698, 683.48815293673465, 683.72951709289862, 685.13833045214233, 685.49851832300385, 686.28780574096061, 686.61057035672206, 687.48527166990198, 688.02295082357716, 688.99083392562341, 689.02711742080305, 690.85979100177008, 692.31945543444579, 693.27647980075642, 693.72762980282346, 694.06281294986138, 695.64027080035419, 695.95037456176999, 698.09383939189934, 698.87614594160618, 699.73990935688323, 700.73323501377433, 701.2274381203913, 702.82016710905111, 703.08237213161817, 703.18258863310552, 706.77703841162395, 707.75822685482012, 708.68975637330357, 708.77096843508525, 709.37503352623901, 709.5620685979743, 710.82586684558851, 713.74309999637887, 714.07227714379235, 714.29087930371759, 716.06268156410306, 716.95767196543898, 717.24806662280105, 717.58027474741186, 721.70994955071126, 721.81518893657812, 721.93774101745635, 722.73151994659122, 723.23727576516376, 724.00149819149067, 724.37386730448839, 724.81503312714347, 725.52843538150671, 725.73287685012008, 725.8656955963794, 725.90187949137533, 726.14085433511877, 727.14374961861176, 728.02340809881468, 729.53515757075002, 730.47435824064905, 731.63100850810167, 732.64128240823993, 737.83665100056646, 738.24966160322435, 739.08723785888708, 741.77699832866324, 742.25043712128684, 746.60160240042478, 747.43716285447886, 747.56048082975644, 747.6749817132411, 747.80841882474044, 749.68226160154961, 750.67214841565283, 752.24959290359004, 752.59201317247744, 753.55707604697341, 754.09210309767991, 754.41256165120978, 757.0716961932776, 757.89832951142841, 758.07017711221727, 760.51770221232255, 761.00946798970574, 761.74452919132352, 762.12665223749832, 763.87097329051221, 764.10997338813968, 764.95580970120261, 767.32450203391943, 768.915198055975, 769.20967117594603, 769.87240292385673, 770.14493726943647, 772.21607409145008, 772.64092569479169, 774.22783809545547, 774.32062253640163, 776.55164989799709, 777.3322559456268, 778.58368610161597, 778.93697926741311, 781.03813683409135, 782.26229875222805, 782.74288664016069, 783.1418070392416, 783.60781711989318, 784.07642911314031, 784.80184859819997, 787.78086715869222, 789.41410834856435, 790.02341320056848, 790.61911701095073, 791.64598461368587, 792.31163644553158, 797.2251229454281, 799.13435386419951, 799.57554426917818, 802.51438150883496, 804.28185320135572, 804.42750562113497, 805.17077780732609, 805.98007017655436, 806.18150347264702, 807.92614529906814, 808.25851586701492, 812.02968074828459, 812.87421052749517, 813.3905708791134, 814.12391941847545, 814.20462618106467, 814.38349504214591, 815.16497823609325, 815.68439487372132, 815.84399510818844, 816.79225208589537, 817.91690779990779, 819.03077642862308, 819.36389323587935, 819.72039817928385, 819.91166289697355, 821.44057116817123, 821.61728768125556, 822.16448637281837, 822.21354989707868, 823.25552090292229, 824.19504223290392, 824.53265324732854, 824.64467690873335, 824.88177071774896, 825.21544230739823, 826.8618693658882, 827.252726468844, 828.1359612900286, 828.20591566637017, 828.72066061133239, 829.25919521979779, 831.33389418785009, 831.40192449635344, 834.28755826220288, 834.78040524024516, 835.48290061083173, 836.15944998155612, 836.56243563798728, 836.6534992130712, 837.32507949727437, 838.38806390753223, 840.86633869385128, 841.38521382822046, 841.64274462750893, 841.6796317124805, 842.53056993552218, 843.13023635568527, 843.97094985501769, 845.07657455009314, 845.3566501422589, 845.4345226793057, 845.68492967283976, 845.93377502410044, 846.51544516813544, 847.83322364411765, 848.80480629567273, 849.81444758320879, 850.08718196729512, 851.79763313304784, 852.04940273058014, 852.72606160720738, 853.18087510314547, 853.74923502564639, 854.04031247358944, 854.65218413889522, 855.7965043169479, 856.06293777234316, 857.92795692780271, 859.23570935415057, 862.34229356592107, 862.37325924909919, 862.62147829115929, 864.62928653214567, 864.80276673069454, 865.01736562136603, 865.38910014744852, 868.26152811450356, 869.25681981488481, 870.19023516806169, 871.80131426675587, 874.51022187592321, 879.9054063221148, 880.67087291106964, 881.0449660406565, 882.45662788450693, 883.65092207392513, 883.73369073794424, 884.02412612770502, 887.8063368121102, 889.21434189941749, 889.72534056231143, 890.36837824239751, 893.56721471661717, 893.68923286145377, 894.46617086362937, 894.60523824155734, 895.99467902916081, 898.22577050236578, 899.22807075241349, 899.72180606668587, 900.36242851060706, 900.51077956258132, 900.76819409978089, 903.0666542398111, 903.53385273399613, 904.36503062732731, 904.58407676646732, 906.16188743186297, 908.29663389676648, 909.10653145440563, 909.52090707517834, 909.95160215767828, 910.52521015568891, 910.7238585356605, 910.88345406155474, 910.90568776858947, 911.28372819872425, 911.33145211153726, 912.37328121170356, 914.43220332353428, 915.00414245395893, 915.59304682145114, 917.42923542817573, 917.87550507978165, 919.01864923796848, 920.00279571450892, 921.50001604906333, 922.12836553063869, 923.65450269100393, 926.17800251629558, 928.66483854341357, 930.76461354981143, 933.82488262344532, 934.22134979041607, 935.74992858354835, 936.31952814290116, 936.34015675405522, 937.77044690487412, 939.03685358028122, 939.44863321276318, 940.70203179429996, 941.43274227378481, 943.77784260964336, 946.62112506411972, 946.68378163950183, 946.81144835930343, 949.13260883287182, 950.73396660882736, 951.90069317022699, 953.81407920205504, 955.41981001308659, 955.45823997069613, 955.72325644614, 956.25713161570764, 958.30709024763792, 959.24428797628161, 960.05113903541132, 961.77215758974717, 963.474777435752, 964.04899818175829, 967.82332792769637, 969.58470465342782, 970.22981508773967, 970.51432770826943, 971.37638688446975, 971.65327509570272, 972.46782286825237, 973.45300519182933, 975.01184036164057, 976.79640832831626, 977.3715772646708, 982.50611631750905, 983.84572389399375, 989.72248669639498, 989.86763486030384, 990.43180720950363, 994.09190017239121, 994.45069193932102, 995.65791931332637, 996.07937272127845, 997.29981065770335, 999.28600145164307, 1000.0976874461079]),array([0.65297618496981125, 1.9618104710478874, 2.1752769979767765, 3.6522392336988991, 5.6034216369536596, 8.1091930868141446, 8.9282468162465438, 10.086890410061237, 10.755203395160899, 10.874984330972566, 11.269452526166486, 11.672756464240651, 12.864636040672934, 13.384556041972262, 14.269432239262976, 14.659244777250414, 15.693460560534179, 16.488308136469268, 16.68236104708852, 17.354451040743939, 19.754620482847407, 20.226738624020939, 20.769144454844565, 20.912948657151318, 21.814980974892986, 22.099597048982098, 22.895201153061095, 23.575127777231838, 25.562794332373539, 27.26186126350192, 28.392654813867651, 29.762311969132583, 29.967019314784721, 30.175560701595128, 31.218029150207379, 31.377965674065976, 31.658821586902747, 32.308021657173292, 32.679436186038387, 32.759720144467458, 33.962713308376095, 34.605998946759136, 34.873852471768217, 36.340039030687599, 39.60227836217652, 40.896783333424821, 43.266565813921176, 43.754767910822935, 44.434273315021592, 44.603190211177335, 45.793575151262161, 47.732616308305758, 47.928001247344035, 52.018300091809088, 52.112207199586614, 52.294876934999181, 54.011459903964088, 54.807226156965513, 55.25360300217249, 55.410928342866981, 56.138153401609756, 58.259122187932135, 60.804761385860147, 62.023072337045313, 62.119722699948568, 62.705896016805951, 64.55155041086897, 65.623093791775332, 68.547758072709968, 69.153822243728527, 70.734216380406608, 72.637399351831661, 73.539306523541569, 74.244400125302917, 74.971015934329813, 76.189885231744441, 80.673783229811463, 81.632712670665484, 81.699291089174125, 83.556024156063842, 84.138158094447121, 84.316911786663724, 84.478752540411662, 85.055872292726946, 85.690966887553842, 85.854940327780142, 86.516605212171598, 86.633681271848857, 87.208170867281979, 89.262787364620053, 89.883215790732137, 90.30512355963215, 90.702248070738776, 91.085231669332074, 91.119678246298449, 93.46171477354504, 95.278114096205286, 96.353827051195466, 97.808003136386233, 98.08375900109921, 98.789984374270318, 99.382861903144715, 99.992046147284597, 101.07228499381874, 101.60943794654428, 104.05482804892162, 104.39000254921578, 105.44302338402377, 105.84674329814527, 105.87359606267019, 107.7039182248698, 108.27443930267428, 108.92373431304534, 109.46998890838172, 110.33302085330635, 110.91990372211116, 111.17112720966807, 114.85354948052037, 115.33335903969048, 115.39045052708123, 115.55593328073955, 118.35142921501978, 118.95797261857324, 120.76385487983917, 121.00792655589795, 121.44269624270646, 121.7760044092624, 125.41419340760156, 127.01900395412184, 127.12066561579134, 127.71901768355299, 128.53302065422332, 129.5077067442472, 129.96352714586627, 132.47734985866188, 136.55012993201581, 136.88909687959963, 137.41737463183506, 137.84414724207411, 138.28719252831033, 140.33228115927747, 140.42226825972034, 141.62142524204697, 144.33478320834186, 144.42107723809505, 144.59274334114983, 146.76946241596613, 147.02570716641736, 148.8934999530839, 149.91910209054447, 150.31632730241867, 150.86545903590209, 152.31867883662542, 152.48927276067991, 153.43894229003496, 155.52907644917531, 157.15780595984918, 162.20027318897624, 162.23122882801059, 162.87664865596403, 163.15881426798222, 164.00410735459664, 165.3734145520535, 165.64625800526233, 165.9861628860684, 166.46106583276924, 167.05508863767548, 169.99402201966737, 170.4649139758591, 172.80861769505225, 174.09197338301328, 174.18708774631779, 174.3603181672018, 174.57670450075571, 176.12579208439371, 176.18642277412155, 176.23714991733581, 176.78923295033519, 180.17597656475527, 180.42858967077944, 181.58053474779874, 182.95834272505726, 182.9876023881788, 183.67231130613683, 186.00099383848254, 186.89231486541922, 188.56372366914948, 188.8212023195957, 189.15976687328165, 189.94730355837413, 191.93744598302274, 192.37477384734518, 193.38727436901874, 195.46377219548191, 199.16507034102483, 200.62982276963135, 201.01688256163422, 201.75653021602008, 203.32165845345466, 203.60229673111093, 204.48376623864476, 205.32573986361726, 208.36898445522979, 208.5156250057118, 208.96714930512579, 211.73846919846309, 214.05383702065174, 215.21369195936936, 217.19999390051214, 218.59783901577825, 219.92680854914306, 221.14000169189814, 221.58753048811647, 224.82330568247261, 224.95383198161673, 226.62915755047669, 227.32158522584351, 228.25087327561334, 228.39911850736971, 228.62150989216715, 230.00485791364261, 232.13884245644138, 233.70890043807844, 234.0818236420854, 234.63948181198955, 234.75053056830086, 235.28810718096287, 236.13971147816773, 236.65023419177081, 238.1031232356614, 239.27069125669229, 241.47396410070809, 241.80869389294443, 244.06576452264801, 245.954480182673, 246.92445278185798, 247.84858075882661, 248.34612326665936, 248.53621086345802, 248.59354373060495, 251.74175002246523, 252.03599793198723, 252.48219569058125, 254.08110131068781, 255.17289635863384, 257.71879471102153, 259.15752220791302, 260.11549141080491, 260.21153136458531, 260.65877021399598, 261.96968531549658, 262.23595381840579, 262.82444266015176, 263.14388081457895, 263.95661057544714, 264.05300744805817, 266.22607342678202, 266.64402846597415, 268.59089574898883, 268.67420032319859, 268.95103827662854, 269.57820791810872, 269.60240185609109, 269.95142615946941, 271.16430833728998, 272.08049726322736, 272.86279517144828, 273.14208483597781, 274.02446025526893, 274.74944614226894, 275.73769364981717, 278.88695938836992, 279.05435017019869, 280.91042633147157, 281.27614200004234, 282.89470768950588, 283.48330175812845, 283.55263154666511, 288.18830113225272, 290.85683469171056, 290.97794249210938, 291.98681806559819, 292.31456130078885, 292.82692163977288, 292.96072339421517, 293.55450827037055, 293.76371199222018, 294.69403548281042, 294.73973142953577, 294.88446460695633, 298.04491014162721, 299.69098900273553, 302.59213637579842, 302.67748850549344, 303.07541565010382, 305.33485782381837, 305.63361764714062, 306.3431729111652, 306.75824284235659, 307.28348709022782, 307.64544962871105, 308.24269356126683, 308.34054262645958, 308.41707472953073, 309.65330273222969, 310.9180911775959, 311.74172813044231, 313.0233184031776, 315.92787030302628, 316.80875917166088, 318.62395140217274, 319.02196329959747, 320.05661862203925, 320.71169569956982, 321.97179147599667, 322.65231451980651, 322.76160742200216, 322.79835074655648, 324.38382161430144, 324.43690895515903, 324.59668602144063, 324.69857824186863, 325.07240750101505, 326.41249870977174, 331.59650364923885, 333.54525669800785, 333.72984686998956, 337.31951277101899, 338.35465736468933, 338.69165744887226, 340.02414111400179, 340.08468573097713, 340.84822322247555, 344.5673552481482, 348.14908049700057, 348.1913722353886, 349.61932211549049, 349.90767262822732, 351.00489000134047, 352.33107251355199, 352.5131076280594, 353.61159791558276, 354.11005889992845, 354.75810779526199, 354.95358927082157, 355.82589345672773, 357.87735244501789, 358.51973063818428, 360.70441195260486, 360.73478308118945, 360.9312959656732, 361.25959723284922, 363.45550029906906, 363.82254053949231, 365.00843789284551, 366.08432591254126, 366.63758655260443, 366.71865989197215, 367.64239065157261, 367.73515394175291, 368.45258334343106, 368.52374240167001, 369.4735601368161, 370.41096493812995, 370.52438216224255, 371.41629521779464, 371.82334745177815, 372.8597789906695, 374.63749421016672, 375.09139675268392, 377.35861163913523, 378.27203130131841, 379.35811119415342, 380.97267473973255, 381.36895161063899, 382.90132085604444, 384.09516123113286, 384.24899843575264, 384.70304370978334, 385.45636748989688, 385.9094571383813, 386.38984433038684, 386.90366518671414, 387.97716286927829, 390.41246184330839, 390.61803865325328, 391.16340941895231, 393.54799432452739, 396.26427486945067, 397.28658086293979, 397.77111627901161, 398.54431708437767, 398.87158461101893, 400.27083882975126, 400.51907708719204, 402.81259599750695, 402.87263072665036, 403.7218301670967, 405.57466615020752, 407.45677483138701, 407.7858048234275, 408.7580133272437, 411.40353408991513, 417.89328381037825, 418.15724565050238, 419.12459171967856, 419.94854894189388, 420.43901324766136, 421.5097592025449, 424.29580472199888, 425.10011529981551, 425.79890774382233, 428.8976074815364, 431.98222232013973, 432.04971753008022, 434.55591037592188, 435.40879424171101, 435.53100025441609, 438.09192018211888, 438.84193924176282, 438.92261963909618, 440.03320772825373, 440.78835028224137, 441.29750129479953, 442.15540500608807, 444.19232223543474, 444.3493718436772, 444.55069034173681, 447.24547358570578, 447.33708164840004, 448.88785403602304, 449.79393665131562, 449.88719445056699, 451.18421219198456, 453.03670464189219, 453.13573333465246, 454.82690950814697, 455.51396272875735, 457.06485882448777, 458.16408385145235, 458.33313269897405, 458.50143255927725, 458.54101830753928, 459.62503888558524, 459.69272013086129, 460.20408367016086, 460.88557372265439, 461.10871384854931, 462.36412909184821, 463.13301007789124, 464.21400234624861, 464.89954303207998, 465.36210431037733, 466.65484056463129, 467.96672303216604, 469.57075330643505, 469.96155585563309, 472.19993601067603, 472.57552372048741, 472.63339264214295, 477.35743085879812, 478.44619218188507, 479.42187829473113, 479.70807348866765, 481.9270244147973, 482.15266620623214, 484.18521535080271, 486.45503846567374, 488.10937164489275, 488.21644108262609, 488.39430919409415, 488.85445635202421, 489.24669962687955, 490.67742956590121, 490.99805277356381, 491.23563302876221, 492.6659905520998, 493.89647088716299, 494.56682874415321, 495.77698101086213, 496.99928359444726, 497.51735711986794, 498.10689638695203, 499.02562576619249, 499.36998131923178, 499.63237323598736, 499.98030901175679, 501.99672189920886, 502.16377167424929, 502.52184428867122, 503.82383541750124, 505.0700307736879, 506.05157845541572, 506.07343987511609, 506.46816747729167, 507.48526446057502, 508.6020538485883, 510.48859262969853, 510.65192181965489, 510.88570607804058, 511.1396435264308, 513.62494056771459, 515.60172491705225, 517.88993388272092, 518.79255875115985, 520.83740843724502, 521.52759078813654, 521.62110659672453, 522.11455491901017, 522.79967751619188, 523.84691296527535, 524.91351553084394, 525.37281848762154, 526.9774772413524, 528.24145832650902, 528.29951964274164, 528.5800136008902, 529.17393882895738, 531.34823063713861, 531.79196183111742, 531.84808360750878, 533.87160248453495, 535.08584948264547, 535.91753224332263, 539.58092269395866, 540.33047069797374, 540.49939335534373, 540.84521772214964, 541.55316758896288, 543.10433084526437, 543.39393760186488, 543.61163919299111, 545.57210189491354, 546.59288905922097, 546.89175684212273, 548.73016620011072, 548.76037766533238, 549.26641698344656, 551.37846774717934, 552.51862441009223, 553.4704321723824, 553.99438385989686, 555.13888690831755, 559.28505796016282, 559.5351773158377, 559.91615429372689, 560.10531307521148, 560.51501707887724, 563.30254902145759, 563.36551610201684, 563.98509772114562, 564.36627661115926, 564.38966559199196, 564.60164804138492, 565.6290903965413, 566.49394350598948, 567.17929648200595, 568.13990839413964, 569.05255116703893, 569.28634350985033, 570.25680479672747, 570.43005262481688, 571.38931638372844, 571.58834407915344, 571.65747406094829, 571.73452838130197, 571.91843013870357, 572.78271017709199, 574.03617402238967, 574.26132395439595, 574.72929534661512, 575.32429310767134, 575.87317292813134, 576.2055837715161, 578.03339347768929, 579.42972164158664, 579.66399279767597, 580.8065327194862, 581.02241767100224, 581.70301573173367, 582.89396277410526, 584.26907364487545, 585.3877488372093, 585.90532698591323, 586.28103689743534, 587.14694751503635, 589.28681362038367, 591.78398409134172, 591.90416991506652, 592.68030198605663, 592.93863805036301, 595.42637352338647, 596.31440228840984, 597.63583784973935, 597.77406285549023, 598.14791444994785, 598.87032007336813, 599.98676461754121, 601.18373355899166, 603.1761305307233, 604.04426737156427, 604.67185064084788, 604.80563428780579, 605.03028407358568, 605.57939887704708, 605.91968190112095, 606.66549980361867, 607.67472801256531, 608.13913646428739, 611.18662286475217, 613.89305864815958, 614.32617992317023, 614.47466295524498, 617.10132031746537, 619.42237948679201, 620.48145428004386, 621.24225535287621, 621.36141615905615, 621.8572660384558, 627.11735019291962, 629.07594192803049, 629.33259292423008, 630.77574787123069, 631.43119457501155, 631.74087603835426, 631.88008569193937, 632.2769060837154, 636.4862337303756, 636.552588815175, 636.81884358860668, 638.57040474565099, 639.40772271428955, 639.79353469629552, 640.90962453153554, 641.47723997646722, 642.73347503457944, 643.3823450180314, 643.57501354270971, 645.08302529798254, 645.77027631685962, 646.3726936756251, 647.43228710677215, 647.54251232755644, 647.82688773723692, 648.01018953866196, 649.85520789835698, 650.54733613218707, 650.79809247695721, 651.51304621608426, 654.13396887035117, 658.15070917836431, 660.67969997157479, 661.36023297526788, 661.95602413265897, 663.62759174796213, 664.44742759110079, 665.12496309176379, 666.15141204661495, 667.26397361084287, 668.11804909349053, 668.62587940592846, 668.9753411883836, 669.04926176874358, 669.17560357899242, 670.86476008491991, 671.4461811940389, 672.21190836199776, 675.07854945719748, 676.07927590324311, 676.91062506859896, 678.43453483999099, 679.36096563302931, 680.23079177367072, 680.33230767384305, 681.13205516845221, 681.3425167568289, 681.96056954494952, 683.57431263731166, 686.74882209109421, 687.74114092563025, 688.89281427947481, 690.08235858690693, 694.4330334372172, 695.13681331644739, 695.24957913744436, 696.02330816323149, 697.78644280528954, 698.3929984787851, 698.72428288556137, 700.17754643918124, 700.44791888407394, 700.49255498358775, 701.1545160156063, 702.07747775644827, 702.97781627210884, 703.94162221597844, 704.85886429668551, 705.29674369701718, 705.72411192419838, 709.7239930988211, 709.8654838998807, 710.0232315785571, 711.28763539320175, 711.32787707440798, 711.68889823369273, 711.73686469016343, 712.13233970769477, 712.42133595812402, 712.95046095983457, 713.07213345501134, 714.55442810369379, 714.7135448736542, 715.54228066748556, 716.71177136684923, 717.08906929619138, 717.81535254145786, 719.64037805095086, 722.02485038216855, 723.53681127205107, 725.16338494911031, 728.1782727039681, 728.42014220187184, 730.40785802766948, 731.95265423167803, 732.35556432815451, 732.90575263112612, 733.51226402352881, 733.8810182545418, 740.69757057652726, 742.77355049015762, 744.57753696974373, 744.80317251152644, 745.74501143780276, 747.44294580971257, 748.10525563584849, 748.13724661789695, 748.35709978717284, 748.41349787868762, 748.98997851042861, 753.92058190221292, 754.01603865170819, 754.61806770127089, 755.1853202459539, 755.34336533496605, 755.79947046788959, 755.86853368896197, 756.04474654470948, 756.21941825064789, 756.33690284198894, 756.84140828544048, 758.1423258817764, 759.05325257015488, 760.69587736105711, 761.1118415562878, 761.30413382349627, 762.22885651748572, 762.83682486525356, 763.20917388242128, 763.64418301149578, 763.92209236695476, 764.3547469560948, 768.17531546335658, 769.2102973742484, 770.67070062815492, 770.98862391219473, 772.26226351060905, 772.4891085382659, 774.24592149713214, 774.90819130657985, 776.75924217907914, 777.96746305111026, 778.070166397305, 778.23764880160172, 778.56062196974824, 779.65122893606804, 781.66588114841124, 782.3108334289642, 785.71415019030803, 790.72268741034077, 791.69556446725255, 792.25088311171021, 793.1174883049365, 793.75762334539922, 794.03502960524816, 794.93502116892614, 797.32232702429133, 798.41857324999523, 800.83506984099756, 800.90957030949664, 800.94819234602835, 801.800287250677, 802.14124947409528, 803.64894831918105, 804.26973526369363, 804.36995027194632, 804.73326660833538, 805.15017725519635, 805.77318080377381, 806.89251882189228, 807.76739719610475, 808.20518658212347, 809.04263223084342, 809.34131512342412, 809.84342241642241, 811.75440901046579, 812.6535409735684, 813.02311107444177, 813.99040264043197, 816.2378633581834, 818.35883354266559, 819.81086836517829, 819.92069350573672, 821.13155918492259, 821.34075686396807, 824.09964252143027, 824.51483247914075, 826.50283856118938, 826.86181016635931, 828.99114873118481, 829.05500626266007, 830.28327618570609, 831.38263444819108, 833.07780894233599, 833.11938341363646, 834.88281474173357, 835.12857685072754, 836.02091971410152, 836.09851266882413, 836.21889421654726, 836.28059579853948, 836.7595766175333, 836.8215922355796, 837.38918408667075, 838.68439047933805, 839.27253431952226, 839.41438427422634, 841.71487909769871, 842.98733910439103, 844.37829205386697, 844.45389603389197, 845.7941541361696, 847.09739731031232, 847.27375193201237, 849.20982354274952, 849.2649564917333, 850.35699700023031, 852.27322525583384, 853.38717878497027, 854.46988819470016, 855.23469362388846, 855.94571993796308, 856.34963685106186, 856.63051359408757, 857.79971765817106, 858.12337459711057, 858.75315680185429, 859.04086285041876, 860.18417873577494, 860.69217572722403, 861.51183043503045, 862.37487944572138, 862.45961350249149, 863.02047916273455, 863.85394490439216, 864.26057765672533, 865.42696356732915, 867.95166605593886, 868.21936094403009, 873.35709908168826, 874.08101903679494, 874.71835899932012, 874.95874520088034, 875.09226053196426, 876.65412525997192, 877.46829685691728, 877.99279080164854, 878.4061128201073, 878.80717680774296, 879.00249239443508, 883.83661778589192, 883.89778775577986, 884.28816372355266, 887.38298375551551, 888.24019340895654, 888.31036827406467, 888.91987991837357, 889.96835845602118, 891.95221858984132, 892.54053043110707, 893.07592956857491, 894.39004275787738, 894.41721132301495, 894.99696766985141, 895.912261670828, 896.13345414815785, 896.89766157428392, 897.0704792641734, 899.81391463682576, 902.49341709896589, 903.44313611468237, 903.93490061810712, 905.25932317293268, 906.1372666728912, 907.22101718577721, 907.9908621495556, 909.53505237802847, 910.7610094846882, 912.154867904968, 915.88958288511162, 915.90978331016936, 916.90401249843433, 918.66404591989885, 919.16327365732184, 919.27548063871404, 919.85701174088695, 920.32807269141142, 920.59628163083835, 920.86059871913653, 921.30241719270157, 921.55536209543595, 923.68980405754519, 924.96594367957539, 925.03840436975531, 927.93935905424303, 929.97994904770769, 932.02909400986618, 932.20147221877642, 932.77963568751557, 933.07502182017936, 933.11533857774475, 936.50250815855509, 936.77874386751046, 938.85208080568486, 938.94355877546025, 939.38102388884238, 939.50582063323759, 942.06924603396442, 943.3928989011971, 943.44945884348078, 946.39631178981904, 946.46660558803319, 946.87216995759945, 947.31328657989809, 948.7964961900027, 948.99386672514197, 949.54494270257942, 949.91859635087758, 950.75251416852439, 951.2460249159484, 952.20116051935986, 952.70799598843371, 954.19580744399525, 954.89502516148809, 955.43019725469355, 956.59744996291477, 956.6188040666641, 958.14836602119567, 958.68964140135961, 959.020357801155, 959.44028468021168, 960.40004215133979, 960.55694038379033, 960.99176385577971, 962.54264346175523, 962.9130989650979, 963.28634528613475, 963.89714910847658, 964.08493286282157, 965.55194942936635, 968.530955611943, 970.68128624660358, 971.2298784668094, 972.63113868686628, 973.14385790149652, 975.16045965384774, 976.80347432436895, 977.55161589676595, 980.01021381660257, 980.27634435605034, 982.76115466388762, 983.08513157901302, 983.31944428815063, 983.49251960245851, 984.09582959256784, 985.80851032365399, 987.20525548382739, 987.34743472329433, 987.89347159506792, 987.94448961259127, 988.01988393581041, 988.17351859768587, 988.73099055600017, 989.85345814440836, 992.00443404590021, 993.59858699078939, 996.50505601544546, 996.80629305417074, 997.81077979261249, 998.54680243792973, 1001.653288777096]),array([1.2713594796178285, 1.6179400115180225, 2.209510977200305, 2.3885218282729754, 2.6324432634826285, 2.8864765456913455, 3.2993366884080988, 3.3928000072403579, 3.4451445599567614, 3.6916920719725872, 4.9986799564198794, 5.764325801605259, 5.8169816406231778, 6.1389258049054973, 6.372532335028362, 7.6621830338557011, 8.8561100191980113, 11.055247603728601, 12.900741109059798, 13.29859018490688, 18.886576455085716, 19.263615839681645, 19.529001697265155, 20.211171674533833, 24.971825165120407, 25.164554051224318, 26.002532837361478, 26.173780544482426, 28.89106468909667, 29.254321787837949, 30.373590909027293, 32.158233534616826, 37.214214099860442, 37.260867849631786, 37.737539093976636, 39.52044429717759, 41.032538872180041, 41.213193284838525, 42.796807755280966, 45.829257524090067, 45.943940626801442, 46.86422577718843, 48.201540372312223, 48.238229509984542, 49.503764200673452, 50.679845906027957, 51.111002230184695, 52.488914127877393, 52.833501085712676, 53.121778330759234, 53.480907046169264, 53.785823613328859, 54.362949742444442, 54.553080810317788, 54.621317794263724, 54.973037517109908, 55.861806051431863, 56.6630286575014, 57.383568500393743, 57.61019675301268, 58.541017134294584, 59.763546040352018, 62.728122349496267, 63.258688690012328, 64.208044910332291, 64.378446640532943, 64.983996088887025, 65.082516892799816, 65.406991196090246, 66.223271162401232, 66.375321652175785, 66.513537890977915, 66.925060826318003, 67.0241370017051, 67.841179443245551, 69.083472768657018, 70.13662030256387, 70.824566253822027, 70.913348190632007, 71.00322272050839, 71.045332885628994, 71.670515589561958, 71.916040399114479, 72.064628691688696, 72.474017605888534, 77.458678835435308, 78.584063638515332, 78.860522308980421, 79.592239663619239, 80.837566824946236, 81.070070201069385, 82.422119361018233, 82.640560269679838, 83.748101813459684, 85.27587132717089, 86.493826869442557, 87.122890247515556, 87.376188464135069, 87.434704395514615, 90.370077477215531, 91.066629665685056, 91.222232480544449, 93.209012648831163, 94.343825649375802, 95.424943203543592, 96.578447301073211, 101.20350916650588, 101.56035574813079, 102.25500238065244, 103.13229941646954, 103.17190016777562, 103.78809525621131, 104.11186203773593, 105.30844350985289, 107.50988166029681, 107.89742768054509, 107.92200125805928, 108.05159155336894, 109.31705491887631, 109.67292598306369, 110.58965609107084, 113.57527260439279, 114.6818938837537, 115.49067971120694, 116.46910079570036, 118.0603814920503, 119.38916667809893, 119.91093220739951, 121.20091530144683, 121.48314247101125, 122.22499835052821, 122.27322304989025, 123.46357085944439, 124.44630038407537, 125.77718135811266, 126.18618919718168, 127.11158695213588, 127.37703397132752, 128.11315072551261, 129.35323589989054, 132.87155069590349, 133.01190312177314, 133.74686101364563, 133.80465723059615, 134.01618334790686, 134.29120652044949, 134.97285448813065, 135.24213258790809, 135.30941286311102, 137.17941234564231, 137.46254818141293, 140.01436301709148, 141.38873044077349, 141.42542678228946, 142.10813865537509, 145.3522864933899, 147.47040147913251, 147.64061687469891, 147.67742907435505, 149.99828976556856, 150.58328455197784, 151.14496643281601, 153.55928635983148, 154.82262112829673, 154.90342037220617, 157.05696576218796, 157.41279424185899, 158.58784978288227, 159.58306345000474, 159.86180435720874, 160.8285949877438, 161.32418668925192, 161.4868798852649, 162.50387000703907, 162.59098333307205, 162.78225203077869, 163.24507425425716, 163.9355022341025, 164.71202685938701, 164.924837907545, 165.52980970067927, 166.1444830654427, 166.28158175458034, 167.05863573997854, 170.23532852325144, 170.7700637575642, 172.84866277861866, 174.00101671044109, 174.61035041790993, 176.09396142453724, 178.15202890286977, 180.06472751831572, 180.10113039751624, 181.61593826936684, 184.12140565886193, 184.31222081647445, 188.03633628516647, 188.18990139744258, 189.04172425907976, 189.20316596126207, 190.70905448448087, 190.98750996487595, 191.53178082729545, 193.00578797219308, 194.13140722751845, 194.15962291293476, 194.4994087045817, 194.68265905929977, 195.2666415959653, 196.37583546759001, 197.10018423512741, 197.65545337211356, 199.48167645544879, 200.54331089152754, 202.61684985080163, 204.01601714097899, 204.21476319298174, 204.79400869309731, 207.42521394273032, 209.03851079382017, 209.37144968001888, 209.69387951629997, 209.89985487734145, 210.98905142715392, 211.07355019461397, 211.13553321510472, 211.64940222543089, 212.12488197952786, 212.78725927677149, 214.12278350257048, 214.39219026726718, 214.78727217648654, 216.59062492497662, 216.80293348225194, 219.44011644367893, 220.61732210886382, 220.82933886651969, 221.10194147524416, 222.31587559504428, 223.28593423089842, 223.51710411831399, 224.07030215767966, 224.31002206567294, 225.64962099945376, 227.17156322090938, 227.7806400287493, 228.00492614961135, 228.43063835241273, 229.44636722801741, 229.52527400290927, 229.5783563405532, 234.21769697869348, 236.62649510372407, 237.58095849143646, 237.76344875453609, 239.76312259515626, 241.02561272263301, 242.29487858230476, 244.40819570090909, 244.54679154199317, 244.85180168298163, 245.40605202114381, 246.31990328627185, 247.73175507832062, 249.82411359686446, 250.59674783790831, 250.69159735012926, 250.81719401883336, 251.13841587120513, 251.80593795926023, 251.98393918358289, 252.2873342713369, 252.69649256585316, 254.26541947152674, 255.05787610755922, 256.56969266130523, 256.65931062343077, 256.72402387323592, 257.04686842637915, 258.01703829286896, 258.21792247899913, 258.35999713103234, 259.70868711886413, 260.66758768346665, 260.80680826527106, 263.44609286981006, 266.44505480175025, 268.61442236837081, 269.83840381302622, 270.6491635954028, 270.71564721260785, 273.84506140506045, 274.26920293442407, 274.65030696723602, 276.45104780201916, 277.38207535495195, 278.53326382945761, 278.98708071977188, 279.99665384445007, 280.57063940782956, 280.79578231761815, 280.88053877060281, 282.78995205611119, 283.00584274808233, 283.52916895035474, 286.25109567575362, 287.33132425417108, 287.6631431432167, 288.15433283582757, 290.27417438358361, 290.90488389481845, 291.06153868587609, 291.37456492755905, 292.94230171325705, 293.2011507345112, 295.11194894945237, 297.16717563182874, 299.09169456993635, 299.65679249439791, 299.9274546279521, 300.29278110147573, 301.10901117339864, 301.68884209332583, 301.71454060750767, 302.86007114112732, 303.24314400316763, 303.36864142714035, 307.5240369996701, 308.63190237250637, 311.45125867572824, 311.97013389861661, 312.24056672351304, 314.4687402487092, 315.21566178235122, 315.48023178495265, 318.30887808490115, 318.47203869351301, 318.57411788618555, 319.68192973408389, 320.22576970790726, 320.50475705519, 320.55745434057741, 321.1949466330251, 322.71627654989618, 323.51380069186325, 324.50798127215847, 325.19186127077796, 325.22541752810343, 325.77370118102124, 327.5066526398432, 328.85906944065749, 331.73213996254248, 333.74368918687657, 334.05044387372709, 334.44103503936117, 334.5773918463014, 336.38432584050474, 337.17478779240747, 339.78067150820885, 340.47828182597374, 341.1026204004001, 345.30742280313149, 345.7782342715185, 349.12568746930657, 350.79694551162629, 352.88891305278349, 352.92063969928108, 353.07082256443078, 353.5672244482156, 353.78469241656944, 353.83960451881393, 354.99766740102115, 355.45890057158226, 358.56916043736283, 358.76224031811591, 362.02727052579195, 365.06209567145891, 365.29693034440299, 367.5582983452245, 367.85607668798889, 369.76627791397425, 370.0828685607828, 370.40218603742977, 371.38838254826612, 372.47017531477218, 372.90788402079215, 373.04771130744507, 373.7632819393487, 374.64373366915481, 375.87622802366667, 376.26444629206782, 376.60675806734042, 377.04200430347839, 378.92574147164265, 379.15435195929393, 379.33413197426404, 379.64777199712734, 379.82979170730374, 382.25977888884444, 384.23549332941445, 384.70359356970454, 384.97113975126922, 385.24280201268374, 385.47748192519697, 386.05228305216224, 388.36414940094227, 388.46625502582424, 388.78892999670603, 390.06324003018557, 390.49837810613388, 390.5236107667489, 390.68469345186099, 392.8500873180032, 397.71891134137547, 400.0659736326682, 400.15808994947554, 405.60718379745879, 406.6894071754046, 407.44208267966286, 407.9769453016994, 408.93421696547557, 410.84000848010942, 413.47845665018286, 416.20414576080663, 416.51930536395281, 416.73347909465065, 417.19669618606963, 417.72238868832835, 419.10188154215069, 421.00866369231181, 421.27859794253902, 421.85642035703904, 422.08877247163002, 422.18917256304394, 424.00851262614844, 425.50706808236583, 427.06324737408801, 429.48191823379909, 431.83292881954969, 432.76586583856056, 437.12182131889574, 437.26939712617235, 437.5138079277425, 439.06761504209959, 439.95059925255873, 440.48948757619144, 441.10794198035813, 441.90641215544844, 442.10146510896993, 442.70058764528028, 443.30516606524236, 444.75080282927246, 445.79068895420511, 446.28898848004047, 446.66052492063267, 448.62261638704865, 449.76811075150835, 450.72899327393191, 450.95062440513266, 453.52508151624909, 456.96696276429992, 457.44429994203841, 458.04083525162531, 460.41111844739669, 461.5673234413095, 462.19858251290566, 462.37129450960919, 463.88278291773838, 463.91963529604146, 464.53807574477452, 464.94801791795305, 466.88122527058476, 467.14275581543041, 468.72173509979439, 468.92794857124051, 470.16207451789319, 470.61568255082142, 471.97886400431281, 473.07711942524901, 473.31089270789283, 473.5827984987817, 477.62992933402995, 478.11559143366242, 478.6008643802341, 479.03245323264224, 479.08197267216372, 479.53662306899031, 479.87034653286838, 480.38427034460574, 482.08209139085221, 485.32686300233883, 486.11657722922848, 486.24450936484226, 486.45204429853067, 487.04053029840878, 487.50369437849781, 491.08117409154357, 491.26202715718557, 492.68673007422495, 493.16564608269738, 493.84386869890466, 494.14312715862206, 494.64610825146116, 495.88252717488467, 496.82487170300726, 497.02276023742729, 497.91349683936147, 498.04829597559109, 498.65140467110541, 501.71334969846851, 502.04828451147438, 502.10445574011658, 502.50080229040213, 503.90607582036358, 505.08087967613795, 505.14966773898578, 505.31029220216084, 505.73659310876246, 506.23430816842637, 506.51570039222253, 507.58840754983544, 507.78653349898872, 508.32185069326897, 508.90491917380689, 509.28543320030047, 511.31852701474708, 513.13678666266856, 513.86436965672647, 514.72755949843895, 515.93017458632698, 517.24139539332305, 518.57421805534989, 519.58164592693731, 520.9643529515705, 521.85124150097488, 522.46402587098441, 523.67498767593543, 524.09616768598505, 526.13833642787301, 526.42346946345572, 526.4804888903991, 527.17511928996521, 529.93740682545354, 530.6191907268111, 532.87887221372296, 533.30754319762696, 534.78484734509095, 534.80858175252285, 534.91880461892117, 535.04401252571063, 535.14331023556872, 535.6084712047226, 536.60612628649722, 536.81411471437332, 537.72347038033126, 538.62144808080723, 540.94613186509423, 541.84396186084655, 543.5195906721201, 545.26575189071082, 546.01142727312856, 547.75472806293635, 548.71382645387018, 549.17232962219782, 550.7000916401397, 550.90525685560203, 551.97463666135502, 552.44111047526985, 554.03376120948599, 555.24368714053549, 555.55142404585354, 556.99734758417424, 557.93396465042372, 560.89081730916712, 561.32924406290738, 562.13885089536882, 563.10213270150041, 564.77731145824055, 564.86059150317567, 565.07500598741512, 565.25333738991446, 565.50712676672902, 566.25484931399546, 569.52187086407935, 570.97493095957827, 571.55667827361845, 571.72051420499895, 572.78666130558531, 574.34424652880114, 576.3266330297663, 578.39117218089962, 581.92587946302854, 582.13379966069635, 582.15793157580936, 584.76486098512828, 585.91578722955705, 586.59225203599067, 588.76756904535171, 589.44137406718721, 590.08589714392326, 590.11499234614769, 590.47629365701619, 590.72916107871731, 590.89530816385115, 591.14568746873977, 592.06247979097395, 592.17108670906464, 594.70943614694045, 595.40000553884795, 595.56517571045458, 600.61204802050543, 601.49897203863418, 602.11478394112589, 603.20384082825979, 603.42478560848451, 607.08338182079433, 607.26363338776673, 608.0565637971647, 608.80609816330514, 609.21315239893056, 609.61009882662654, 610.47686978242848, 611.05873157220981, 611.79858172734021, 612.06569486522051, 612.90191229134598, 613.22598984522529, 613.72170990441475, 613.81476043629937, 613.98664862760722, 614.6964156143365, 615.42962216325168, 615.92043331452487, 618.18569419623191, 619.10074557785231, 619.46952993666491, 619.9753325375857, 620.30276575708331, 620.39410441739687, 620.56615820293814, 620.77227788395192, 622.06445688516919, 622.71998602016572, 624.31335740900192, 624.57202706263035, 625.16493786618321, 625.80584426078474, 626.10191158612099, 628.95035912976971, 629.01187209089517, 630.97482487941238, 634.26831747922677, 635.15602786083173, 635.49650691435829, 637.78242878723142, 638.46682542938765, 639.72991619268453, 640.73335183004042, 642.01904527108741, 645.6802355257521, 646.21032300851687, 646.9735078678325, 647.51497968209185, 648.01511205542124, 648.85572361028005, 649.95302785427191, 651.033034406208, 651.64080400074681, 652.0579395748116, 652.95906820311507, 653.24374933999911, 653.98752653570079, 655.15742899762881, 655.37663930389772, 655.92867681430891, 657.25702612739337, 658.46239753763882, 662.13534631240213, 663.34808321221919, 663.43005569872309, 667.0474160067198, 667.3985493506832, 667.94638764386229, 670.89269869065095, 672.16415677032217, 672.5285945739771, 672.58246429916119, 672.6322862376893, 676.45389315685088, 678.31915807335906, 679.2137625409639, 680.59339712569761, 680.66592176122992, 681.75167608945435, 682.2201702121564, 682.61579294131468, 683.38699615117469, 684.55598957167865, 685.00319570237082, 688.73997243993176, 689.76414446256911, 689.87588085484344, 690.38347708638014, 691.92415042953974, 692.61260405196253, 692.71185520726397, 693.86664728290282, 694.66269099164447, 694.69117281797219, 694.74937974689919, 696.66335994950111, 698.2032171386544, 698.84405096331307, 699.83842792451549, 701.11637258596386, 701.46115440754784, 701.82892260459448, 703.50175112858483, 703.59564723640483, 703.99651232673887, 704.49728772259289, 704.65261453540097, 705.83369821801568, 706.06582624183739, 708.15866172349217, 709.63681474447219, 710.9454256490734, 712.34832986661104, 712.91967875366242, 713.16648693151092, 713.83013427317496, 714.22494408885473, 714.35358825758101, 715.53188301455725, 717.33459805126643, 718.6289370833083, 718.86308439758545, 719.22425533302419, 719.7916257292411, 720.02264414677109, 720.65624932449907, 720.96671356438367, 722.13053735016581, 723.03460663561384, 723.82881834397995, 724.35962047744317, 725.05308823952782, 725.90660917878438, 726.56091230275774, 727.59626101550873, 729.70151286593671, 731.62362889700273, 732.84075814744472, 733.01279794531433, 733.33131721504606, 733.90820459104884, 734.25352734030037, 734.99185286841202, 735.49416165678144, 736.36578469327958, 737.12958113974423, 737.16368444330374, 737.6571941692456, 738.13682225956154, 742.16549158303258, 742.89428605918727, 743.36691217330304, 746.43151661416425, 746.52336287095056, 747.95222196520774, 748.7866876209996, 749.97284485357227, 752.53719161380548, 753.79318509778261, 754.14825676959902, 754.72402067390715, 754.98589548962468, 755.32882899123194, 756.83490199674759, 757.16772210566467, 757.97583087562077, 759.18282893662445, 759.53286292649807, 760.7050707581592, 762.50864856175065, 763.3673000225366, 764.58749269116504, 765.3667287525036, 767.29401592977206, 769.11721959551915, 769.79565147757683, 771.62549373827824, 773.85423807062148, 775.95081009019532, 776.52585036393168, 777.69535678974341, 777.88148503518664, 778.77743496529911, 779.15588671326952, 784.05296272377439, 784.31718782760913, 784.37607177848633, 785.11443042699602, 788.3799208342715, 789.80284286938661, 789.91162560508326, 790.48813601360564, 794.29409127565009, 794.4994201233277, 795.39121499569467, 796.0444295422659, 796.87386494732777, 797.47756573359243, 797.76231356452945, 798.21289778174889, 798.30572579053057, 798.69298615581079, 798.77047542069556, 799.02266088120473, 800.7619779260358, 802.24218606422437, 802.6043614056498, 803.18398651821803, 803.44391830773304, 803.60424912468841, 803.76047109483773, 804.17528643800961, 805.28131232660326, 805.45994568369679, 805.49296100969991, 806.87517154096315, 807.19158644956826, 808.65959073417844, 809.85795861025497, 810.04690482979129, 810.38603398323392, 811.3643832342234, 812.32472571702408, 812.42479092951942, 812.69039685733003, 813.64347033497904, 813.73180951312406, 815.46520882359266, 815.60852105377876, 815.63185546410557, 816.20692291449313, 817.32243070162383, 818.34332172102063, 818.64042834300403, 821.14323824705332, 822.47371413948986, 823.31698099069263, 824.65333575335694, 827.51565087182257, 828.29367686498495, 829.16327511361021, 829.67244451196404, 831.37775518918613, 832.52120394254803, 832.57982461955953, 832.69433184517504, 834.13859725929808, 834.58370076510073, 834.88451861645808, 835.83538353871529, 836.15166099760938, 836.87850076081133, 837.54656631353987, 837.64329665312971, 838.01068284543999, 840.5386309460406, 840.72795455485516, 842.36867276602038, 842.47517294620525, 843.13765399730323, 843.86471800584002, 844.21379833154958, 845.4281750736194, 845.894368152168, 847.00622646911586, 848.66962167740212, 849.80056802639376, 850.34745148742172, 853.46556744400357, 853.96711279435692, 854.43834427229172, 855.46257115785011, 856.2040643955138, 858.93944510291965, 859.98764117938993, 860.08101609688981, 860.25012861365713, 861.31922742283507, 864.54222452274882, 865.58275221545262, 867.32889950247795, 868.94199429001981, 870.31510438829912, 870.44330346112224, 871.10948879272667, 872.48307667724805, 872.53451914841116, 872.81380208188091, 873.06917964274896, 873.87833833613809, 873.96666883650857, 874.02433413256347, 878.93694925816214, 879.17591451750866, 879.86066036418413, 881.01548905648701, 885.02657836423884, 885.58372489595547, 887.39703912717107, 887.90150137288208, 889.51439142443371, 889.60585585113802, 890.46472437403133, 890.89386021141206, 891.47524159820546, 891.55066705773277, 892.10997935291311, 893.98073617172554, 895.06119259864852, 895.89483895402861, 897.56634850141324, 897.89348836138629, 897.99794561244073, 904.16248972029689, 905.43615886008388, 905.55085145518319, 908.53682470341835, 908.95155984104986, 909.01813513403795, 909.9676321152109, 910.24994287939751, 912.636724800813, 913.814126340445, 915.36754914542507, 915.55445632869771, 918.07945351374599, 918.98695070839199, 920.02902817836593, 920.21286344388466, 920.41370833389624, 921.5095103694282, 921.72742466898899, 922.0359417099055, 922.59457530919985, 922.88720877191975, 922.97497854301753, 923.50264008654221, 923.84638974575398, 924.02768985184127, 924.33873979840735, 924.58091262740743, 924.9460590057206, 925.92556442915202, 925.95455624191231, 926.69791275816715, 926.89410105831018, 928.50594468063775, 928.80746676917079, 929.40154302481881, 930.14505334165733, 930.90663402705025, 931.09734302963659, 934.25781064530577, 935.8533390109028, 935.91003489273658, 936.67507249386369, 937.62634457026104, 938.29177405967334, 938.47839347247123, 940.04296995506331, 940.55943007837539, 941.69254111534167, 942.03674717397985, 943.94719971344443, 944.08459099362892, 944.87554946466332, 945.64560764158512, 949.58466004774755, 949.71832165782291, 950.25465412292226, 951.11713031279487, 951.7543668586344, 952.38463456709746, 956.13250133149484, 957.79465296523108, 959.24949494382065, 960.84951436021709, 961.02967296635427, 961.77176408309026, 961.93906774530205, 964.46001790777416, 965.2811116852298, 966.00439616534277, 966.57107133921306, 966.74220883474891, 966.9317534285907, 968.06610977749756, 968.13824749013122, 968.5920053595147, 968.92945186933434, 970.29220859380155, 971.27053793761888, 973.06988559784725, 973.17656563707442, 973.71931847109192, 974.74166375233619, 974.92934823286771, 978.05965174218488, 978.08167665933081, 980.33807308652479, 980.85735001516809, 981.31771172130027, 983.98813777791418, 984.22808171018187, 985.08101002741557, 985.84767290945388, 986.47055313412932, 987.57851816901029, 987.74440813317074, 987.79206366916662, 990.11079207224543, 991.08684474643167, 992.55887289162501, 993.4712972100366, 995.21659566331152, 997.08309984321147, 997.12604886447332, 997.23724181368004, 998.6925945845968, 998.93124801236058, 1001.129155523079]),array([32.281635377863417, 33.796628126645579, 37.312521179442619, 37.981867341203859, 39.41329212806226, 39.74806661865275, 40.391429171909706, 43.135338267527914, 43.653810982782566, 44.2219696898633, 45.191201728925456, 45.645965535122841, 45.704005975784717, 47.054899122791191, 47.689248140024574, 49.132014175138515, 49.170401643462462, 49.247550304012464, 52.074500907613448, 52.542267199117596, 53.11847780747339, 53.182486850831481, 54.97593056010836, 56.564476352710884, 56.68748895984659, 61.292568972554925, 61.955928630188531, 62.635130417280145, 63.49642328441999, 63.594599162978049, 63.820778318808429, 64.047832137495604, 64.149175982849641, 64.706921791618285, 66.691864006695525, 67.157223873789675, 67.416009181867793, 69.132268592166398, 70.229486824840365, 71.922212308615869, 72.804757957684558, 73.508007863316308, 73.674181980340791, 74.729784010402511, 75.373195659861423, 75.44371127622054, 75.688104301512823, 75.741500768656024, 77.79162457559751, 77.833013075934517, 78.073196278428412, 78.2969557115524, 78.61407156634057, 79.652932010051003, 81.179697302281099, 81.392053069235033, 82.539700446398399, 82.745592393712258, 86.339216042553545, 88.53439152444497, 89.0700703434742, 92.15245846331824, 92.756984808879537, 92.991190268348589, 96.83846535421354, 98.560564337986065, 100.1034392084895, 100.12495445338686, 100.59516580817873, 100.72169019858464, 102.43984030455624, 103.86524720643276, 104.33874673727743, 105.35375197248638, 106.91147148833801, 107.05788465930317, 107.19949589048913, 107.86692036212629, 110.31036414699543, 111.13773489231581, 112.06729944919, 113.42543895510548, 113.59836353176179, 114.62827792748779, 116.9680004295798, 117.17558638812042, 118.51035299680022, 119.80138226900834, 121.23816887451397, 121.33287326021431, 122.60727929174068, 122.99647397592076, 124.32583299877911, 124.74136399662775, 125.13696062775436, 125.30514117624688, 125.84054031558138, 127.49251295418841, 128.01156814850262, 129.18067459368075, 130.69576718706304, 132.24522733315334, 133.71791309207106, 135.196742772438, 136.4497576108119, 136.47615552121852, 138.46788840412762, 138.79778776254679, 143.7124128896123, 144.14450094544236, 144.34899884449837, 146.92456106957704, 149.45733885412821, 149.58412102140457, 150.25202317035885, 150.95175366390876, 152.29444493116407, 152.71829348431268, 153.72895011986657, 154.3210274915285, 154.68262997980068, 155.89024589636188, 156.49217759228733, 156.78483987927098, 158.80553691838861, 160.30778929858749, 161.63274588159095, 161.89841396580252, 162.09352030947946, 162.35952298781351, 164.1054342417215, 164.72403700099352, 165.32848770232573, 171.14707396060496, 172.34909882234734, 172.92331519793822, 173.807671934659, 175.0616314525181, 175.91685209706634, 176.04393407387209, 176.24845569144767, 176.86218505724304, 177.70720774350585, 178.02228540883246, 178.8448550542328, 179.39128428664642, 186.90025733564559, 188.51801789270701, 194.34879216172331, 195.10445705707198, 197.50349960905027, 199.78883752130011, 200.2034412758392, 201.34432633608523, 201.62154481446811, 202.45311852868159, 204.75005976065444, 204.81168777716775, 205.86651021376667, 206.37144626141981, 210.24316482328351, 213.51810838420809, 213.9720337181937, 214.58515037014291, 216.24715722192309, 216.8149072348711, 217.02417806577719, 219.08593625210639, 221.6606981898683, 222.02701499459474, 222.6520461452134, 225.38756207725379, 226.45365301528886, 227.60896686680567, 230.55465513867631, 230.70338206630908, 231.38548606080039, 232.5578191001517, 234.77450340785387, 235.27935947811935, 235.40575882576553, 236.31752941347878, 237.18769114716301, 237.73912601863108, 238.11047376391818, 239.95694155884573, 243.11308069895816, 245.09699825008366, 245.33343084158295, 246.13553954219682, 246.68914249948932, 248.12820170257231, 248.49841754708811, 248.64802413751056, 251.77099782781821, 252.78701998126991, 254.05235514290308, 254.62199332149086, 255.16726554087106, 255.53596656330473, 255.58550115941887, 258.70176842033169, 260.13239246811685, 261.35961957777005, 263.15506803604791, 265.69346716598278, 266.6632849295367, 266.79216763881271, 269.50978613898354, 270.01423434199006, 270.05879500853069, 270.71679072864134, 271.69619241550095, 272.20813044829481, 272.72847051876079, 272.99173207147248, 274.1296222148556, 274.74398126739459, 275.08290706346082, 276.13717615602695, 277.51596266867739, 277.95869503105854, 277.98057449464807, 278.79149063546794, 280.0261954923667, 280.34611146379797, 281.69776696508643, 282.75664861308218, 283.70277963710629, 284.65090530279224, 285.58145439604158, 286.1423910142874, 287.06998053416487, 289.83378594156511, 290.86827185307897, 292.35109247493756, 293.12484820286318, 295.43539485089531, 297.18435636863552, 297.87376798543289, 298.88181221879478, 299.256320022061, 299.31845565895981, 300.13048378094322, 300.93957360191808, 304.89931268756749, 306.08540716727612, 306.95991464052031, 307.58283564481258, 309.82240280210846, 310.98639696364978, 312.60863917116848, 313.3820110649545, 313.72166422827081, 313.77058170620575, 313.90892298488859, 314.95898874669928, 315.51385946566654, 317.39666180515798, 318.47456796784849, 319.23301066137941, 319.29564717770199, 319.98978398074024, 321.64292844047213, 322.07540585573747, 322.62893383686355, 323.51265353719111, 324.79788485447426, 325.58833079233221, 327.0693075793618, 328.32491756581271, 330.8483988054486, 331.15528836280203, 331.25090349951216, 331.76797425974797, 332.00168372874299, 332.17928088334361, 332.22107004299335, 332.79027323831224, 332.94575643593157, 333.14563129806714, 333.69444267348513, 333.83609846172038, 338.23713530889376, 340.07045245812651, 340.70326164064738, 341.77132497416437, 341.90459546890372, 343.38916695691643, 343.97471331666844, 344.08674955289717, 346.90282561724376, 347.36970543251499, 347.56561893214035, 348.80340725985559, 350.36912953220224, 350.76781385463647, 352.11670819551199, 353.13154754622832, 353.48704455876947, 359.25339149284969, 360.28399570857817, 361.80313990118964, 362.36565230610717, 363.23008959099622, 366.05635641191805, 366.39544848978318, 367.02659803778022, 367.05184499839521, 367.1951430367202, 368.98451708676021, 369.24714003194669, 369.33741384838396, 370.62506545045051, 371.34110878957847, 371.68253117198685, 377.66871863842215, 377.93938625147786, 378.19862770062042, 378.66107832586619, 380.16965613180503, 381.24444578686331, 383.55331434782539, 387.83573909886508, 387.86870644002084, 391.42046401826332, 391.97632010756536, 393.3884254784428, 393.49898412212502, 394.19856180286791, 394.76006774772344, 395.17823539608054, 395.83490799734176, 397.98169265065053, 400.42098898136118, 403.41067339707962, 406.05036613124497, 406.56629788252235, 406.83668286623583, 407.18164287883076, 407.32507012760823, 408.96856057111012, 410.90234523656142, 412.10881802222485, 412.49441525802757, 415.68972705623452, 418.5332341952768, 418.91016658578479, 420.81419359767352, 420.89479586868077, 420.99836964113052, 421.30547122664626, 421.4680827795558, 422.28330214676254, 422.5210904117933, 423.3430903972299, 423.59237105152175, 423.7163645418911, 424.94130574005976, 425.33984304740233, 425.54084434374386, 428.33648566317964, 431.63267072414362, 432.35208008254347, 433.93424534650507, 434.2942938994176, 434.39899722322127, 434.71613959677325, 438.73961229174637, 439.7632689851909, 440.61047431777934, 442.13270580850332, 442.38447953561831, 443.2932146689202, 443.49568990328555, 443.6755513780335, 448.84606376333073, 449.22892630356449, 449.29261869917536, 450.25706018420533, 451.04277013532715, 451.61916509015782, 452.92631943320094, 453.00923901509253, 453.40290051527978, 456.77344626717706, 457.20453000652356, 457.93964247995268, 460.06910276930267, 462.51218288951833, 468.53963694455052, 468.65668629518206, 468.79445327472081, 470.77980669127152, 471.42970466997917, 472.53968887649665, 473.21398203720571, 473.26442902145374, 473.55409841240657, 476.43465746825586, 477.14781649121568, 478.40645460479038, 480.66091181113211, 481.23061397262086, 482.55059311162188, 484.28010198704214, 485.26746690588038, 487.76457537149776, 488.13029448679163, 488.49359171944343, 489.80073789004865, 490.21714154455401, 492.907897863144, 494.02180164642124, 494.58668161880621, 495.73632039280398, 496.13045377123308, 496.3575305524592, 496.44148942284329, 497.47944132111422, 498.89357498664867, 498.9716687284685, 500.23196907178294, 500.66263308231186, 500.89358947127221, 501.83041895448764, 502.05290977995287, 502.62694655040434, 503.55239993197063, 504.2081996190999, 505.42572644294415, 506.05568950829769, 506.41781549135038, 506.80426485839172, 506.95192028745305, 507.29192455594756, 508.29929237823114, 508.69717583775116, 509.55166716496035, 509.70331911016825, 513.30945647659644, 514.23414198531327, 516.71632546520482, 516.80626036235799, 518.18369225684319, 519.28535802074919, 521.77127629661368, 522.31753338818601, 522.67187491568006, 522.99974927610049, 523.04102638610573, 524.13118358146266, 524.17819369185236, 524.27633721597942, 525.58168731177386, 525.94131873433184, 527.02145830574295, 528.22289629807733, 529.96286056199256, 530.30987649280576, 531.51534767042642, 532.23259661263387, 532.85762397151177, 532.89493989040034, 533.33915883564623, 533.54743469754862, 536.07585541204298, 536.16388332140946, 536.25138180753413, 537.71166088804921, 537.7728667784246, 538.83029115001739, 539.62091918000363, 539.95326224129838, 540.19944051232108, 541.85192605129021, 542.95357523859195, 543.58247165863645, 543.60279570413093, 544.37034055372033, 549.01958574425112, 552.09262029688898, 553.2313001058003, 555.22792191843632, 555.28931919280319, 555.37803895069396, 557.94332666292962, 558.1207784575156, 559.58487188043114, 559.65381602454784, 560.34112038651404, 560.44822622355241, 560.92637827321334, 561.83583404698652, 562.35098408703846, 562.56362622052711, 563.23290429986866, 564.26717535229386, 564.49913943356853, 565.43313039605732, 565.62186664499609, 567.97349895999605, 568.45520915730458, 569.3800197187411, 570.69501836279096, 570.73057815391815, 571.67766481204387, 572.12941624757048, 574.58295077045909, 574.77378076992932, 576.90054785516418, 580.67743177047521, 581.30016768578173, 582.25623758390293, 582.55857699240187, 583.02989520515291, 583.39908192100131, 584.91388550819306, 585.04165639750909, 587.05555905374456, 589.30009157351253, 590.67863883394966, 590.75404289614949, 591.62293508994276, 593.08463149135116, 594.41077400188658, 595.15164458242714, 597.01795461185975, 598.89105498474476, 601.3058089312002, 603.63044385739249, 604.49872832281426, 607.77729947324144, 608.41461795697001, 608.48038953448201, 609.24606447247345, 611.95207586965, 612.02047972172875, 612.33088873898214, 612.64394947512767, 612.8167393248076, 612.84012339305195, 613.15727553734519, 613.75229360603578, 614.09345645790654, 615.02189864149955, 616.12127518734269, 616.65148276401703, 616.97901645751256, 620.06327712645225, 620.24807781249922, 622.64048138449539, 624.51585606762808, 624.9377896139157, 625.14565289269842, 626.11623600550035, 627.90114521127521, 628.65083780428927, 628.75647470985939, 628.78867480245697, 630.93183222452205, 632.71954816275127, 635.18981622361093, 638.65183861805906, 639.49696374051916, 639.80173950557105, 640.39431677723962, 640.52660528625267, 640.86246625482431, 645.49361173341981, 645.80835074475169, 646.62776771735048, 646.79833616572955, 647.66147376131312, 649.1710013230836, 650.64596626744867, 650.74730348175933, 651.82173246588422, 652.13921560524136, 653.48657356692297, 655.08460781721442, 655.11075654732372, 655.62885962981318, 657.2267080290643, 658.80434492677989, 659.1848704728875, 660.80162791986754, 662.86990865561631, 663.3374898583827, 663.51565254691468, 667.00554608589357, 669.39585586511873, 672.85400063497343, 674.96806471506079, 676.83929680004735, 678.83087255075657, 679.62223694947784, 680.45430344952945, 680.76053364242318, 682.40890242948899, 682.92491049395687, 683.3402525766387, 685.32525062130435, 686.49438462404476, 686.66236149703911, 686.70157676399322, 688.39114973055439, 689.24021418658253, 689.52614685147887, 689.86136141405007, 689.91969021580087, 691.08957739327502, 693.03051123320608, 693.20644181658042, 694.42029505414189, 694.56967860078373, 695.61072846977447, 696.27015856776165, 696.70574257613077, 697.06521474675401, 697.26923894195511, 700.04322818280684, 709.29027494897264, 717.24408427304513, 718.1383594817612, 719.22388684858686, 720.87499707137954, 721.10354979287456, 721.46442393197447, 722.04221053066408, 723.26082938131208, 723.38884353572064, 724.73853209920662, 726.39301915509463, 728.50461498446293, 728.62332032611528, 728.81072791631084, 729.76545512111386, 729.91765497885467, 730.04504648748559, 731.33822456286043, 732.82603905695487, 734.80423482976198, 737.60418298536729, 738.21889885259952, 738.44010432057621, 739.01850666546295, 739.22480936618956, 739.81782703730539, 741.67519051125043, 743.28814679295317, 743.47801802110394, 744.15044191362472, 745.30312889698359, 745.35284965393976, 747.43468306109162, 747.58996838477481, 748.47620393963678, 749.69625209488504, 749.76240269315963, 750.62978365056335, 751.62147125098477, 751.98086035830681, 752.91355318786691, 753.46361327882096, 753.50072819863658, 754.4031230023395, 755.5371241451146, 756.22970336797061, 757.29326053723457, 758.02746304465813, 758.45845916184646, 759.03143654852613, 759.60416142343956, 759.9898903561832, 761.11031544454227, 761.86695796521519, 763.14915648890178, 765.6811104916336, 765.89489778699067, 767.80551927941019, 769.68595271880179, 770.35742676930806, 771.31442884842363, 772.32309001255305, 772.79603276439377, 774.2116567808979, 774.72231369235192, 775.41526274714795, 775.9951177000861, 776.15544368872816, 777.10386254879597, 777.39930321737188, 779.32238390076247, 780.31439099434738, 780.91747602527448, 782.70551627840803, 783.83858750452828, 783.88913666398958, 784.95393065888766, 789.44296261134457, 790.11238016549032, 791.45991600275897, 793.69875652122471, 794.35957008212961, 794.78666917159944, 794.83414607070188, 797.71963537458032, 801.09495309197337, 802.30750889299702, 804.57746975597217, 805.01425178018997, 806.27369492346656, 806.37341484300168, 808.30251543523514, 808.45694357182799, 808.91140010471497, 810.74636871245241, 811.01954765201333, 812.7161301182108, 816.34318176897432, 817.26113411164317, 818.465810919761, 819.56232703726789, 820.35484409950141, 822.29923620033503, 823.17124515775868, 823.69426617366639, 823.89334540697314, 824.24343194170422, 824.88517298313911, 828.15987960594498, 829.25244360304373, 829.8815726669726, 830.13563821965295, 830.90595301961707, 831.21114176047809, 831.44968995927934, 832.41847039934464, 832.74626850689867, 834.65416528809942, 836.55148726014374, 837.5710357425553, 838.32054241523042, 838.70956982107384, 840.4775275326308, 843.92073608615419, 844.47340130774137, 844.66762468372178, 846.57280437880786, 847.81429689853564, 847.9333958768085, 848.33101977088631, 848.42651971306634, 848.51460587988356, 850.00891213903583, 850.09189542450463, 850.22577456322972, 851.33903110389792, 851.36865919495131, 851.44779191900568, 851.68152159559168, 854.07215179360003, 854.4523225649483, 860.02178631851348, 861.4066069129351, 862.22095474445359, 862.54058928259258, 863.27332647289506, 863.879837499323, 865.73564785247197, 867.4079498200025, 867.45810843943434, 870.19166729728113, 871.10088360911288, 872.69709212233192, 874.7689679497314, 875.00065654332582, 875.33768773638235, 875.99100203886746, 876.80218062574193, 878.45771562624532, 879.44863708973355, 879.89909144100125, 881.50324738922802, 887.51578739762999, 888.36246888804953, 895.16611265506867, 895.93569925535394, 896.95182770827876, 898.68870834709423, 898.75570333157214, 900.27088011594469, 900.38891184512522, 902.8593596049999, 903.11803618451665, 903.62415987322345, 904.01154797838456, 904.33515415684258, 904.56884228735692, 905.05587037355008, 905.54849139757187, 907.10746409186652, 910.30821043833578, 910.36910219296033, 915.61451857493205, 916.05758019752477, 918.5907953028784, 918.84468687484673, 920.30179477166325, 922.37551152820083, 922.47408514617473, 922.66213160431562, 923.4105968016986, 923.54038359756328, 924.12537945147267, 925.86430128295126, 928.7653847110754, 931.08456698494456, 933.59057571817743, 934.08077343234129, 934.27681055444816, 935.41559494112698, 936.83416327643636, 938.90680267661264, 939.81892761758172, 940.33902823128994, 940.59618217265847, 941.65295231551488, 941.984066948801, 943.74932191089988, 944.49269832604512, 945.11059395435041, 945.84892282174474, 946.40697579639971, 947.83740931229897, 949.73213627425844, 951.03656438334656, 951.11915272667056, 952.20377349796081, 952.80527406433498, 953.88686399330265, 954.67820649623468, 955.03773052686336, 955.10693812129239, 956.13784124021674, 956.27913567512019, 956.47963568538466, 958.75659108319235, 962.18210288106786, 962.7575921313902, 964.92374223523984, 968.41112774181488, 969.52773614098157, 969.75326379251158, 970.20616116015822, 970.58100901720854, 973.17173033855647, 974.16458944133069, 974.24123770836115, 975.13473563390539, 975.86057915859533, 976.13077314294492, 977.38579126598813, 979.47145192928338, 981.37509570567465, 982.15592521612621, 982.46470693108267, 983.28547633799667, 984.79517398566236, 986.23728325260038, 986.26256984438248, 987.98558213387435, 988.76391468462464, 990.50236983690559, 991.04701452746531, 991.7351992583441, 992.67539035338825, 993.67453047554181, 995.26781321183739, 996.55667281691615, 999.79766251396256, 1000.9770496734162]),array([82.248617049766892, 84.255844239625389, 87.378115912797711, 89.34556047925166, 89.560106322578022, 90.045901018168763, 91.020582963485737, 91.047416454722892, 92.65581400743946, 92.930385578398088, 93.887076354454535, 94.929361929986584, 95.131222386501534, 95.342933609866961, 96.397020530664449, 96.800594510841975, 97.029267210911755, 97.261504869147331, 97.639600755952884, 102.54129407667102, 102.56966194400681, 102.62232289690296, 104.16896310252734, 104.23705444889568, 105.44814872917121, 108.2331606767525, 108.98332403104179, 109.26749219401115, 111.05649234216793, 112.44675220097562, 112.66281025017913, 113.24449805578976, 114.10521257422198, 115.8403886328005, 116.11719606003916, 117.82726945400427, 118.00195494053857, 118.31017019509399, 118.54018993750813, 118.76872986427607, 119.50168500648756, 123.28209355604261, 124.88758482978859, 125.14325258196639, 128.641419871111, 129.36924718294119, 129.41440596130136, 130.57314089128758, 131.50762892366211, 131.65281646105146, 132.15334528409966, 135.03064030249018, 135.18334022508222, 138.00966390924842, 138.51198870876505, 140.31045631743734, 141.48071283632851, 141.68700144000246, 141.80011548187821, 142.63943075989027, 142.94456634051136, 143.21725198383243, 146.55010918497925, 147.66335552583575, 148.43990665572025, 148.74115871220022, 150.2641813883165, 153.98638505004746, 154.23909111388207, 154.97745124124958, 155.28724650140401, 158.50864166071057, 158.95897900488808, 159.16828305830435, 161.08694538836971, 163.16416274744611, 163.9905938415979, 165.60134026609902, 165.87997479162965, 167.61183167083405, 168.98736217478412, 170.31217799735742, 170.99016788007572, 175.30504645952959, 175.35279619096349, 175.873576503197, 176.23726167175812, 177.61167652379257, 180.02396225019223, 180.50581098486407, 181.95115918841444, 182.87787548666537, 182.98566530103807, 184.15109310470277, 184.74130005759625, 185.60788025108747, 185.83307546402054, 186.23885232183014, 186.34024826187076, 187.41759294226793, 188.58429895180799, 189.77455144032365, 191.0173359092274, 191.93280541319152, 191.97746350201174, 192.03508213315098, 195.32106279213394, 195.61016949968356, 196.70896201065003, 196.95261858465039, 198.58180524541308, 199.01229001652652, 199.81585859918491, 199.97785776840098, 201.52324719579104, 203.51024872480875, 204.79761173285766, 205.88190687640957, 206.69248435512083, 207.28528854151571, 208.69949196689811, 209.80298898087588, 210.62936877092136, 213.0229248487187, 213.09616859588263, 213.76214213246189, 214.29962387175505, 214.90796154341405, 215.12833013132112, 215.55988702280212, 215.76721534093508, 216.48097473266571, 217.71487567839031, 217.90385067962913, 220.04783994728618, 220.38321609396075, 221.15133757663995, 222.93707069088467, 223.29507379280545, 225.65548648419539, 225.74988793281912, 225.83451830807047, 226.88723400443283, 227.29425267878966, 228.60204708593017, 228.77263464060024, 229.27488574523679, 230.10520539084297, 231.65551062724296, 231.67722433686916, 232.31639400706976, 233.80865482335372, 234.90806533166645, 234.95049655050786, 236.4824880683679, 237.58033669876647, 238.0142022969828, 238.08916359045278, 239.72093639434314, 240.23500696205991, 241.03305153555948, 242.09330047378646, 242.2669060893061, 242.5221610325161, 244.50610849043477, 245.7041831537156, 246.52121705226068, 247.50250340681859, 249.04480928718016, 250.64329982805245, 251.89091885600465, 253.01276378716935, 253.15611013501186, 253.7699731122552, 253.84204902225986, 255.10524933288147, 257.27498515764711, 257.44641360834379, 257.54299855149424, 257.78083021757664, 258.53168060397655, 259.4021943672825, 259.87426486636474, 260.28656194441157, 261.50773182377543, 262.52977275783655, 263.17042532294863, 263.66869533300843, 264.10248015180565, 264.35209637971275, 265.29757417374225, 265.3283676609496, 266.07489922316273, 266.82825866848799, 267.49065154574936, 267.99339132248247, 268.17194838628922, 269.03472279700122, 270.70140529562735, 271.91634139259219, 272.31033257476469, 272.37801716497421, 275.27669371313556, 276.1260919194944, 277.28416087866867, 281.28027147991406, 282.73530782021396, 283.55956868679465, 284.2733097717354, 285.74455971463203, 286.09722892843109, 287.04096059198906, 290.33617419816949, 292.68914298637986, 293.79437281123177, 295.44220649826411, 295.77048516957944, 298.12990332643062, 298.82612236024744, 299.87062564193081, 300.35768398888598, 300.8101455049088, 303.38089386799993, 303.76344253571352, 304.10669168796613, 304.40395720729072, 304.65959145453928, 306.89431500261173, 306.97704003865726, 307.0411843882415, 308.37279513930173, 308.72785308018439, 310.37760867432922, 313.23130632212303, 313.38052608435146, 314.09445353571016, 315.15084013892414, 315.95966210448927, 317.27317269127803, 317.87948504817899, 318.03194637756553, 318.94070487261462, 320.88638328929483, 320.9203557809476, 321.85931229045667, 323.51821400289657, 325.63285181974607, 326.58437002036572, 326.76206641290742, 328.1372799476751, 328.44362813208221, 329.4713744156283, 330.25348592094781, 330.81242637334844, 330.8908016799142, 331.90548156018667, 332.67202488058899, 332.92328379886209, 333.98996444597475, 334.06706830476287, 334.52467853634039, 334.6242233606892, 335.73217077542665, 337.01822609455365, 337.78529635161607, 340.11855248510329, 341.68721214055421, 341.90123957440693, 343.44695514459892, 344.05348978372007, 345.39524200496624, 345.90482775852951, 346.87167680587544, 347.73680850098924, 348.6049982099446, 348.92451236021617, 349.35181204299158, 349.47139977152398, 350.45726970429712, 352.23328569963616, 352.42130166936658, 352.70752677773442, 353.37043683065042, 353.89012756299581, 355.34207896974652, 355.74988834575436, 356.34401757820092, 357.03336786139732, 357.28831815412582, 358.21252443738848, 359.12895890109559, 359.5043570445651, 361.80099803922155, 361.83707222781516, 362.92916423033518, 363.11185116746316, 364.47007295030545, 364.9167226925826, 366.46146482825651, 367.06438233224782, 367.9030049008694, 368.50284947739294, 368.9303151823529, 372.62382900871705, 373.03321888400581, 373.15328650464136, 373.38465683156966, 376.94355646551787, 377.12013640638531, 380.50758584212781, 380.63177773188107, 381.66021382688848, 382.81537187795533, 383.65815367766265, 383.69708025966929, 384.02743261714693, 385.92504807183911, 386.38943439197408, 386.69639076595422, 387.19000881139283, 387.42835356496323, 396.39893614654045, 396.88565327266309, 397.32320925770858, 397.67357295900712, 397.85707146174582, 398.47740730568285, 399.13148636403605, 399.75802316833312, 400.21325134949666, 401.04974049226456, 401.29423968909339, 402.76194290068088, 403.08807442407357, 403.64150116789398, 406.2091274244828, 407.5339032655836, 407.58307281528067, 409.37697810664929, 410.3455299482365, 410.51606135701434, 412.42566642486736, 413.03988571650484, 413.45429345695823, 413.67998383050889, 416.1227861342449, 417.1414746624074, 417.60105218631833, 419.19506882725034, 419.48396432745568, 420.08012351579282, 420.45352994401048, 422.69721310270114, 423.06259101063495, 423.15278881010533, 424.60550571196552, 425.35808894362765, 425.7090553397162, 427.67574298285319, 427.8838294843269, 428.98872615269812, 432.3089473429938, 433.11577304649074, 433.75088254354085, 433.87391408603327, 436.82104349392597, 437.01790641122045, 438.46196210947011, 438.52323813671978, 441.46522310534442, 441.78759005829176, 444.17052182951244, 444.23427930863062, 446.11013275452547, 446.59590200244725, 449.04249744292656, 449.39627743797013, 450.38371982309934, 450.41331943801532, 450.75643354272404, 456.6429093793069, 456.90431094824197, 460.57535546819827, 460.60332255145846, 461.46858109011009, 462.98954350473878, 464.41321355321895, 464.79882292828978, 467.28791361885862, 468.06768425857967, 468.41815876374039, 468.76605892244226, 471.43711673347349, 472.4091992842408, 474.87256858072067, 475.43928704248725, 475.74312557708976, 476.87165106835312, 477.2837671939032, 477.39169032806666, 477.80895478519557, 478.60966036227364, 479.55624905974446, 480.96299206090328, 481.89408690397084, 482.57117966565988, 482.65386695652882, 484.72790667161792, 484.94325797129693, 485.04122415129541, 485.44185040794196, 485.57391978190213, 487.42323834819666, 487.95473445355731, 488.53020454694661, 489.01206674851545, 489.57169094927792, 489.97949013541739, 491.98479260687708, 493.15094733957653, 493.27197614550704, 493.54725915969215, 495.27754364444002, 496.1657936136213, 496.32389814618716, 496.48384744615493, 496.85059473868, 497.41713666450846, 500.25983451886077, 501.08366053213302, 503.70120432348421, 503.8974678123833, 504.67110046341088, 504.99145746450768, 508.15209328486486, 512.11829044106423, 513.70066984921812, 514.96215658750225, 515.49837748561072, 516.85405942723764, 517.35380343415625, 517.69213650800134, 518.39954656783607, 518.93225710688876, 519.95652961537201, 520.12215281205818, 520.48796129626055, 521.95062984452602, 522.00782678636403, 522.80909848602778, 523.39537211685854, 523.52028123207094, 525.22504857042304, 525.60940378607415, 526.08715332025156, 530.55884680648558, 530.91758177857048, 531.59088751155548, 533.58994667074182, 534.00867235278201, 534.59840354406833, 534.74253852203901, 535.30708918699361, 537.21395854098762, 538.62197029287449, 539.7187768942805, 539.75714317698123, 540.82684581906165, 541.28490495995345, 541.31502117741911, 541.41415213707091, 544.13344229414724, 545.69256204515784, 547.5575565020273, 548.98699551225002, 549.47461879306604, 549.98780966893503, 550.42353877063044, 551.80789897605143, 553.74211191465031, 554.41830930744322, 555.88777756867364, 556.95589746259634, 557.04346823374158, 557.08625054783965, 557.17576149924423, 559.29286853006874, 561.48969662009563, 562.46654019267339, 562.87508847005097, 563.20890028419228, 563.52960186111727, 565.36084494127624, 565.67327686434066, 566.9664885416878, 568.20564431821651, 568.30089004396939, 569.46016666543017, 570.45623083214753, 570.5779626164325, 571.10498835167255, 572.24629840196076, 573.61027441307192, 574.16999392375146, 574.77921039555838, 575.07093429323015, 578.40044550819823, 578.5375020295246, 580.25682534747239, 582.2976528651792, 582.98134467469765, 583.72350208684156, 585.18007672878673, 585.99857634832586, 586.65789466154547, 587.87983544471604, 588.10777492071645, 590.35232633243243, 590.89651234879113, 591.06992405571816, 592.3807373389061, 599.77553779888069, 600.0469746847948, 600.37524969163803, 600.96447028839646, 601.03287744767272, 603.37751155179262, 604.02134547690855, 604.57372825420168, 604.93193977810824, 605.19010805146752, 605.33692100809276, 607.13560485385347, 607.76028186347594, 607.90764022198732, 608.57836400832991, 608.98038015186, 612.77251380576604, 613.65784619397118, 614.32665760580323, 614.43788761072881, 615.0620880403626, 616.38072202137778, 617.24980304203427, 622.05319879405295, 623.97195905938941, 624.33926643933853, 626.57708485521187, 626.7037624717259, 629.57874510241402, 629.62715722069834, 630.49612485122111, 633.34696480176217, 633.85159102339151, 634.2544528186678, 634.5346195491627, 635.37623225144489, 635.52075692260155, 636.4879937351833, 636.93399530262889, 637.26044856072451, 637.35473759092361, 637.43427997930598, 637.78502852441306, 638.16888816597702, 638.49896643682246, 638.59052565058778, 639.23828814258172, 641.44133165080859, 641.57433162531288, 643.75982868459243, 644.76737225943168, 644.80664642233103, 644.84853212950395, 645.17501700168555, 646.26841951350821, 651.01037159465795, 651.22353271097802, 652.20569823188191, 653.00811056120733, 653.26586900857376, 655.19354544118664, 656.49230419892729, 656.57392991294194, 658.43317991135973, 660.76939696604961, 660.87152361115011, 661.31321259695608, 662.78223355197679, 664.52009586267866, 665.97761891979462, 666.43106705789114, 667.79451541970491, 669.32590198654987, 670.22059881916653, 671.31514119081521, 671.88924708667457, 672.03002973281798, 672.51525677458335, 673.92646902681281, 674.13903486530523, 674.36006157467375, 675.26686229577342, 675.82029916248791, 676.69462041771328, 679.19859932044801, 679.51895940445843, 680.95479414537715, 683.82789022538407, 684.76242249873928, 688.0434728716989, 688.81235490958989, 689.12990604246079, 689.66062879919696, 690.45374497014166, 693.0051176241069, 694.29705617571585, 694.33955048576706, 695.14298556130348, 698.35447215835745, 700.2730101999299, 702.546472043515, 702.93472941445145, 703.96091386692399, 704.09989585272137, 705.00388364410037, 705.18056671635793, 705.24268994133456, 706.52305803615968, 708.22555098443559, 709.20488968247719, 710.35498899014988, 711.14760385924308, 711.79111622686776, 711.84706318649069, 713.69245317865148, 713.84310363801194, 717.6168126029346, 718.24693010699286, 718.40301474027751, 718.73471219372732, 718.98619591013733, 719.46026694010925, 721.65169831098137, 721.95148784489618, 722.09182605551212, 723.24278225382739, 726.42937203422832, 726.8564239842965, 727.70984929078236, 727.99182792671331, 728.18348733788105, 728.40474093241789, 729.27943999752438, 729.7609031731406, 729.99041021428604, 730.77009517686179, 730.92413660425689, 732.37328254955821, 734.02136069768699, 734.0460932925015, 734.41045218881607, 735.5525144028054, 737.30491895167552, 737.63688089759671, 737.81630730454833, 738.6090465614833, 739.15892710553828, 740.02780433861949, 741.024358167679, 742.43159911589385, 742.62975247761869, 743.08134716256404, 743.94319547766736, 746.57202700408641, 746.89487876921839, 747.62550096349548, 748.0194789748341, 750.74086711601262, 751.88720591261279, 754.29925113195611, 754.81893764778818, 754.97639398914782, 755.55694259317329, 756.26302090726483, 756.56728626906965, 757.53038305824225, 758.20772001082139, 758.54489689055606, 761.13049216001502, 761.31687562675143, 762.60257374801722, 763.06598788687143, 763.14689115958583, 764.58200179588971, 764.85090046351797, 766.3063849881014, 767.60395346421365, 767.75352245501631, 768.70168146329024, 768.94162189539668, 774.58480035635478, 776.80766631180995, 778.50311382619566, 778.85824895143628, 781.70457704271325, 782.28468856203403, 782.41265111155781, 785.04335937277403, 785.13529741338414, 786.2213523972016, 786.53381121257337, 787.56901201980452, 788.84886880501642, 789.45439370715224, 790.84624720382908, 791.93544395568529, 794.0499096650359, 795.40130258972204, 796.18540496006995, 800.2755240358631, 800.48136764099684, 801.12962756833849, 803.93159446463369, 805.48640123615348, 806.0020714245602, 806.24352074029082, 806.74181508309914, 807.46467951551824, 810.56629419115097, 811.97262539482813, 812.53695613916261, 814.33450491292251, 814.77266048209151, 815.27861537577098, 818.15733866272569, 818.32967134542844, 820.08080874333996, 820.62644782291136, 821.38439274245673, 822.07385923680829, 822.52128763054657, 825.18545261055829, 826.2789732126015, 826.46669464694696, 826.56939239715848, 830.31201608812944, 830.91987328741902, 831.20443774451883, 832.42677091160522, 833.52602930863361, 834.03373891198635, 834.09791780824173, 834.42225926146011, 834.88235070392886, 837.85535968710326, 838.05003470145164, 839.99636935720196, 841.70777835696526, 842.25483768581569, 842.86913429687615, 844.60844119096362, 846.81841617593739, 847.93505862495499, 848.21183522833041, 850.31916339902261, 850.8199670163475, 851.03973175160786, 852.17019794074486, 853.72424073844616, 856.05460272676794, 859.54003659158695, 860.22598195826367, 861.23969973319424, 864.36014945902275, 865.6082324183551, 866.6477701239321, 866.90022442978409, 871.4653873156177, 871.56454929295614, 873.55827628199177, 874.75312220820297, 876.03470752032206, 876.80741368646079, 878.48286898104016, 879.00003411290527, 879.43638994007767, 883.02115779554367, 883.42211707625461, 884.75901344119814, 886.95041072913023, 887.29003739357688, 887.83447420237371, 888.47388789763988, 888.73492629235761, 889.38252651635798, 889.95289360227537, 891.90700127448474, 893.04253817843653, 893.13728903306151, 895.485447767903, 896.18986840022228, 896.87009353908616, 896.95733834416251, 896.98072507391316, 897.97664655717256, 898.57686177070468, 900.38848176247495, 901.29126876671057, 901.64282932745834, 901.85797503063532, 902.60998437274247, 903.06155959155853, 904.93148770717517, 905.28180196336302, 905.8655845182476, 906.49501972590201, 907.91922885951203, 909.75487570364089, 909.841517172507, 910.97392930688341, 911.81126481106458, 912.10844278597961, 913.06176377969393, 914.29985664087974, 914.36452934343993, 915.08713932486523, 915.75145247235162, 917.14857548110251, 917.36998411856291, 918.4075006606347, 919.91828841479253, 922.11973879049015, 923.77538656195156, 928.3978946706311, 928.47145494399831, 928.55342507202772, 928.77051137547244, 929.03048026222609, 929.34792236074236, 931.55998908183528, 934.31393539812711, 936.57695010088776, 936.78888867061573, 937.22496981566871, 940.29897224371507, 940.56590791022984, 940.77969644573511, 941.18814486445399, 941.84418854920079, 942.5287783586125, 942.93234958549692, 944.72147122736089, 947.2935554917359, 950.01758721378337, 950.90464692086198, 951.81699789119784, 952.85178360958412, 957.58511805687408, 957.92252337861942, 958.92791860565228, 959.24765133266555, 959.57815492828979, 959.80676981249155, 959.86541556983298, 960.39837981914957, 961.71568939438191, 963.03407652151998, 963.68794502669675, 963.82678965480284, 964.38193114880767, 964.44905757033746, 964.88559936366187, 965.6181414244154, 965.97164516980558, 966.70744930859371, 967.20534208255606, 969.52834669130891, 970.2201658825237, 970.60779179882798, 971.0717023097427, 973.78063090504247, 973.82083173976866, 974.73122732059869, 975.89611921822132, 976.28281575359438, 976.32018851194368, 976.6969237569557, 977.50752954243626, 980.04526967715321, 980.94703619602399, 984.13423640357519, 987.2469252307925, 987.48390986898926, 988.80279374226041, 988.92341656781275, 989.25676023014125, 989.5744956509759, 990.08066306887417, 990.65859339287215, 990.96766935337371, 991.35476181341357, 993.01886041427633, 994.15541778249019, 994.64491453938024, 995.20651391573574, 995.83285564934704, 997.96241605019679, 998.58200910858216, 998.77240376559087, 999.3206678300096, 1000.462490954196]),array([38.039362175667726, 39.300504196256931, 40.606096254916096, 41.766340456502725, 42.686617193675147, 45.030856926795323, 45.818419429323704, 46.660099819425511, 47.826841451501345, 49.927045711057524, 50.978902371970626, 51.330681659890729, 53.957330231271506, 55.455746388646176, 55.876714310373792, 57.108025998021176, 58.154100559311999, 59.398432800377044, 60.154084631983551, 61.983488435838751, 63.117489343647243, 63.301245083803202, 64.418552857614273, 64.744360502201658, 65.428568011151967, 69.01177956066195, 69.258364567324776, 70.750378149227956, 71.027468632315035, 71.063570831091994, 71.724355716486144, 73.232329011149815, 74.667301809732379, 75.458205522675655, 76.059745798418959, 76.565153040716737, 79.471858261895051, 80.843032684484257, 81.443634273005827, 81.961000034375274, 84.929650155478086, 86.07806115606617, 87.24592360894718, 87.847712338594576, 91.044327731218871, 91.416027636938921, 91.933040959189938, 94.519668017033212, 94.572377578659825, 94.861656298725961, 95.528238413528882, 95.854390448639322, 97.234661106296514, 97.454796513873816, 97.522065486578512, 98.16819628177727, 98.307191935443981, 100.63485512448489, 100.88846757382525, 102.95306503619624, 109.09305123232488, 109.1713571292818, 110.70126184328865, 110.75832059471107, 111.14180144343617, 112.30193531706804, 113.20063794243384, 114.14933800133743, 115.14767454711358, 115.5472406928142, 116.26849318770432, 116.64959875152525, 117.14136078161864, 118.04939411961956, 121.75509352128185, 122.02391462608897, 122.6392086296954, 123.65264412115643, 124.11797133835955, 124.14713961063599, 124.70462771694028, 125.8790426915146, 127.6856898255576, 129.13511581411603, 129.77166689743385, 130.05766846878828, 130.93849602380234, 132.51007758185474, 134.30091018813192, 135.842327635419, 139.41190271616682, 140.76907657600492, 142.50796720895417, 142.66136939961024, 143.43350160097515, 144.51454482741073, 145.5951807194588, 145.66527127762009, 146.14832722278163, 146.44040533702852, 147.35461817327385, 147.4489365277727, 148.45301608186458, 148.77996273805459, 151.6146900451362, 152.46801555759365, 152.90148740928521, 153.79452685134709, 153.86905761086931, 154.25359015596433, 154.93159381463934, 156.13542556081879, 157.3317829065472, 157.43574048980781, 159.03853583176371, 159.33941921090414, 160.10748796783301, 160.81479762855042, 161.72176922418652, 161.90835231059518, 162.64631937244852, 164.79010208740883, 165.41101113074379, 166.34618467258906, 170.44094073549439, 172.59801719847576, 173.53188123906878, 173.79680916855042, 174.03681346583099, 175.48406090440483, 177.32441177699059, 177.49935621129606, 179.6248120765257, 180.43180251629911, 182.03324038804132, 184.3392259821002, 184.84385717363205, 187.54650523523358, 187.67897376746774, 189.00368076446995, 189.185593040936, 190.58110419593206, 192.77371246335736, 193.51282310533352, 193.61392677987953, 194.08413273168682, 194.37276220585684, 196.00072870700143, 196.25301021812481, 196.29365501176204, 198.68656202737515, 200.25500521649019, 202.64441651906566, 203.10245978831273, 203.38041341043498, 204.06699490816408, 204.42401285876005, 205.11687615008424, 205.2434537817374, 205.69794152995033, 209.50907877402608, 210.12928446924735, 211.55168498288432, 212.70467488211648, 214.27121760370215, 214.34542044441051, 214.8458271155809, 215.37686145414222, 215.73997218450515, 216.25551883277979, 217.37588171439853, 220.15036327927515, 220.53259022407372, 220.56564786296897, 221.39973104369196, 221.99680489513295, 222.09478451635104, 222.38743844973519, 222.7490379435778, 222.77178922220804, 223.25775715073044, 223.93558974500419, 224.06377589546466, 224.41492777627127, 226.40679190262435, 228.3738381713286, 229.30330511077514, 230.16093841086681, 230.20432247015086, 231.80559439388821, 233.16442180232119, 233.4196555919961, 233.46773056482826, 233.65388187165689, 234.81334539317479, 235.21618277429886, 236.27782129541018, 236.34360312747049, 237.10838085431394, 238.16199034498277, 238.44517907484817, 239.94217050687519, 240.05640660482186, 243.62818443610487, 245.98167483707655, 249.68410856075911, 250.88237593454565, 252.58068126666734, 253.40673648839334, 254.79132671004996, 255.69048654418563, 256.19163064802729, 256.30622248676207, 257.10445881475943, 257.13711333733403, 258.6462081307306, 259.32947460361112, 259.62033693881534, 262.69610534273431, 263.5241411720047, 266.07052908847419, 266.16642893639454, 266.4897810302964, 267.73034762820674, 268.05318036977627, 269.75433426031555, 270.8539707720297, 272.74770800833426, 273.11425890594558, 273.49565898352046, 274.351459587541, 274.79904511957955, 277.16982291285979, 280.08764547221472, 280.57147539726969, 280.79822121858297, 282.89056174878885, 284.68396536593593, 284.78271634993115, 285.92082562706969, 286.09184803232074, 288.06138279759625, 288.33951420995112, 290.06557775465114, 291.20795727320183, 293.26474504235023, 293.90581449835662, 295.80363679937386, 296.22354913931986, 296.24774884721546, 296.45938636897375, 296.60013150823238, 299.19868063166058, 301.08290023908648, 301.30059602404714, 301.39660371213569, 301.44749189416558, 302.74978167405806, 303.10837716237381, 304.08391867196013, 305.0068746089662, 305.47092182696241, 305.54873390351736, 306.08210326438603, 307.20272342909828, 309.1343015491932, 309.7753570743119, 311.62214782860121, 312.55834374522584, 313.13905945076328, 314.55417169281384, 314.81436315557357, 318.32568292063632, 319.74719357525959, 319.93477559442744, 320.09192708570657, 321.28930100409934, 322.68008917696807, 323.97487505839547, 325.49871635455503, 325.86051695739803, 326.84105503787481, 327.67815312880697, 331.03260897631372, 331.5391878680789, 332.05004901824231, 333.50116309998282, 334.348395819632, 336.04986157670322, 336.23294435862039, 336.58609772948762, 337.04363480619668, 338.26876539236781, 338.99619809247343, 339.06805130680272, 339.47402360235759, 339.94513623808422, 340.53630517533071, 340.70488535313302, 343.02866859123804, 344.37812051956308, 347.32029884050519, 350.92926553154973, 351.63827769418469, 352.99084420728485, 353.90591893362785, 353.93022950620775, 354.47625967520065, 354.80894898090423, 355.17328358972992, 356.055393979352, 356.67298703614767, 357.54519380262758, 359.04092329170805, 360.29966323323578, 360.674720843258, 362.15391280735224, 362.84515554534681, 363.32157113434113, 363.65565121727036, 364.10600018654674, 364.46926910490299, 365.13898436544957, 365.76880818437513, 366.12312122567272, 366.91091333179241, 367.26148481692832, 367.35939760155759, 368.42225497524174, 368.96951494221622, 369.56732271475119, 369.66137659638292, 373.57162323418913, 374.42505128035543, 375.28565828534647, 376.94022835959572, 378.01893516812135, 379.00118871732633, 379.41394865598215, 379.49329603365504, 379.57076713127469, 380.23145134265854, 381.61812902216843, 383.6117620335985, 384.24504741996014, 384.97686703337973, 385.54122277561038, 390.58873794408765, 390.93293375103383, 391.64653558462072, 392.34513349048922, 394.78710673739062, 395.39571193136902, 395.49883497036643, 397.046917050199, 397.17342642153199, 397.20088448124875, 397.45669929461076, 401.05109914356808, 401.994277884106, 402.18470947930518, 403.91959140122384, 407.92261780504867, 407.98749958230809, 408.09493313246514, 408.2818324693701, 408.85086668872918, 409.63635120064174, 409.68226525181024, 410.27095354404133, 411.25748274309564, 413.58302066564534, 414.62299097745881, 415.31122243402592, 417.74086898853278, 420.03216679990481, 421.12912033505125, 421.65764222316005, 422.35369619847762, 422.48187080980119, 422.68606335273012, 423.84982748002329, 423.98929160746934, 424.07510149775777, 424.8143200153292, 425.34400327215297, 426.70333025560132, 427.23216271601018, 428.52808998318881, 428.79268690793396, 429.57924756464405, 435.17425086786352, 436.40291768799443, 436.70405424915344, 437.91396028707572, 441.37368048474121, 441.4331569628049, 441.76605940563451, 446.37937230689766, 446.75495768981233, 447.40663356170086, 447.77558334681322, 449.81923732727927, 450.65036121425186, 450.81013601652751, 453.22336026712759, 453.33809494081868, 454.42045783156669, 456.50018929376, 456.83656563059151, 457.04676824934842, 458.18546171686307, 458.70699181337125, 460.581411595156, 460.73111330396824, 463.06162191121518, 465.17047598716101, 465.6780079186388, 465.8449783421421, 466.4101160623776, 467.56995136634259, 468.72758557817991, 469.12401470511981, 469.18866826519331, 469.6792454564291, 472.44246727488382, 473.6057834748035, 476.0646732007861, 476.40615466963129, 479.12840166513507, 479.66980632220839, 480.84583978985256, 480.89850686041103, 481.60225140023516, 482.13545890413701, 483.50701442885111, 485.18202132927809, 485.2105870518817, 486.96832565185241, 490.27018913919204, 494.26109941496145, 494.79903956284755, 495.83832672134292, 497.98440460544452, 501.83903142833583, 502.12128475723466, 502.16236359570939, 504.17386351314849, 505.44346012965701, 505.49939221728442, 507.68189655927375, 508.1454798596219, 508.37860149145365, 509.62821131398448, 509.88738469845555, 513.42889455827731, 513.84757688847378, 513.91542567762519, 515.26038364442718, 516.83626612219769, 517.02027629188331, 518.19485904689998, 518.81296425521737, 520.8063779665348, 521.30619166972235, 523.02438623570697, 523.8038286264831, 526.55999973014832, 527.39017342191471, 528.07948483080361, 528.61529792435385, 529.24948022427657, 529.51512918053754, 530.83985011081609, 533.52770586545762, 534.600511501043, 534.83830259858598, 536.76789588410122, 537.63896544263582, 538.1778031835579, 541.46751097216656, 542.15266741382152, 542.41380176053178, 542.98422375445227, 543.1487707144471, 543.69909768407445, 543.83667021318365, 544.68969364860959, 544.90563289612089, 546.92383382027515, 548.60012656647257, 551.78978054407617, 554.29364422083347, 554.63328278961887, 554.83755358724125, 558.00298130687327, 558.4759014459836, 558.76913027126011, 561.22539317189649, 563.24010226520591, 564.47149570079443, 564.63289888489078, 566.85877269809339, 567.13243854254301, 570.3440944650032, 571.29002597915314, 571.34925075030606, 571.54306160684791, 573.11733496590932, 576.24766870053986, 578.46119215984424, 579.93311004901875, 580.26240021508625, 580.88129662203437, 580.97139358848665, 581.13823395816121, 581.22027425873398, 581.3165748653696, 581.94184350839123, 582.54190312370565, 582.62273888625327, 582.87017352475925, 587.15510282907348, 588.2031556037623, 588.3094591247467, 588.56182868057374, 590.72216299644515, 593.44683045394163, 593.85181214505758, 594.96116720206601, 595.00889506620479, 595.06659143589479, 598.26333362862067, 598.43111261520539, 598.56495414339815, 601.12771855930146, 602.0083664097441, 602.05131356044103, 602.88349747287953, 603.12067157647857, 603.69815343379639, 603.89073989483813, 604.95091981784628, 605.54322334847234, 607.33508568440254, 607.99096764090302, 608.39758905940357, 611.67504628995118, 612.35523457973272, 613.43620566575748, 614.72738323515728, 615.21828343597656, 617.78374661046121, 619.70654071366619, 621.04608416582312, 622.33638045903729, 622.97937059248591, 623.44312771190505, 629.23687004907822, 629.71994728527761, 630.04079261048958, 631.05336642247289, 631.21411076977711, 632.59600920360185, 634.62609069794928, 635.259842900595, 635.5475306117969, 636.13402638011951, 636.25653871152952, 636.71165291969737, 638.34368816091683, 638.81397841139506, 641.69518659081518, 642.2165220160224, 642.38037700261327, 642.46843317133846, 642.61194177236814, 648.49342708382665, 649.33986232688244, 649.4746190018185, 649.60880076190358, 652.98287883774537, 653.32541908109738, 654.08129184203187, 654.70015047433128, 654.85878734130961, 655.85462231029032, 656.33015394219842, 659.80789641461274, 660.70970512814358, 660.74583480306649, 661.08505176948643, 665.26205641151705, 666.30604610036676, 667.56043259667808, 667.69379417572293, 669.8792212934602, 670.27132610249771, 670.93686113041781, 672.11116250435202, 676.0813176056572, 676.1323943159814, 676.7234839983081, 676.82408655884865, 677.66330169785817, 681.260226723458, 681.36982265075301, 682.02009677664591, 682.27668598416949, 683.13861788308157, 683.70982989945924, 684.48355001535538, 685.123182491835, 686.13003785663727, 688.39961138530703, 688.76387799548399, 691.32760119369038, 691.79516386236492, 693.73934100637359, 693.83049522413842, 693.98711374369714, 694.89405380820631, 695.06716340343462, 698.10137405195394, 698.91562645194722, 699.17396241448262, 699.31897789252719, 700.6036390938458, 701.35473929337377, 705.95525158708233, 707.17486299354766, 708.36335818640327, 708.69414625481409, 714.61862611601964, 714.78675648959222, 716.07477861597681, 716.38161846513503, 718.61101130813131, 718.81154282180489, 719.9611368790122, 721.06071878800253, 723.85464233788434, 725.08716887456012, 725.14600993875888, 726.51958652287692, 727.78232980820098, 728.50674674789991, 729.04599269519895, 730.52527498455936, 730.60248179755308, 731.04914474107136, 731.6662115007548, 734.31995701826474, 735.1655759374031, 735.66077319756459, 739.30543789147566, 739.72058673437527, 740.41327483333373, 744.81903159705416, 744.9074940803622, 745.20728894752506, 745.30677842010982, 746.7286364582128, 748.59324530004471, 751.28218045057088, 752.55430841083626, 755.61632353928758, 755.67701927170265, 756.37283567738825, 757.7707156036164, 757.89417727585214, 760.32686363639993, 762.49585519101208, 762.52281344669041, 763.83560822291247, 765.16349262485232, 765.39458831665729, 765.83418009321656, 766.51174244061485, 767.80464758595792, 768.56154725504553, 768.73158085175191, 770.96439156242309, 771.07862278852997, 771.51300355459807, 771.56847940148862, 771.71112265151328, 772.31039932060162, 773.11065755047662, 774.90648883673259, 775.90317555293575, 776.68715662750139, 776.8627152797568, 777.37824866494827, 777.8984036468504, 779.46784776172035, 779.56589250071409, 780.02605146631481, 781.50432687415343, 781.71705448556486, 782.00452169500136, 782.23366413611973, 782.9699805610536, 784.31522821278622, 785.28879035051159, 785.83656243420421, 786.80283468823961, 786.9936615211268, 789.4591038024522, 789.9404362921199, 792.1993778465561, 792.42208437635531, 792.84675491874964, 793.07718636731022, 793.76886465297264, 795.04883091704971, 796.18328931591918, 796.4331175844236, 796.76378301746115, 796.89707151981054, 797.99889560850772, 799.65999320478079, 800.50104607617106, 804.58998749308012, 805.11094792665847, 805.36390972538686, 806.1634840751459, 809.04991749058445, 810.19103493294222, 810.22349366017602, 810.35269593941587, 811.27090181292215, 811.40132100014705, 811.77262874540327, 813.93934968400595, 814.07596973089153, 814.51162100098645, 816.24999524702457, 818.50963016459502, 818.81001260385108, 819.63252785747011, 820.92932813550499, 822.06337110445725, 822.71083897796188, 823.71232797757125, 824.67660287350395, 825.21191723927359, 828.00352261600153, 828.64853555367438, 830.12743976745116, 831.64332583656994, 833.06333624028093, 833.25606336667738, 835.95898991049296, 836.37279699341207, 837.01706607985761, 837.17702417303235, 838.08544726967409, 839.24297528401064, 839.89676920830573, 839.93947816831212, 841.77036012743565, 842.26913742613601, 842.3517268266429, 844.48848642588689, 845.62208417845716, 846.7053178885385, 847.19063151205751, 849.08233601125903, 851.33504264644569, 851.4889532772188, 851.79433332863573, 851.82357601525439, 854.26560067935884, 857.27843373963844, 859.2286014218688, 859.78624172059426, 861.51651666373846, 862.50278959737204, 863.30713080564612, 864.88131863789522, 866.40340135475299, 867.14498283654359, 867.72843289719231, 868.21583508793333, 870.89432305738285, 871.74109924315064, 871.98650391019578, 872.550125038685, 877.06155200986325, 877.0971186560871, 879.10754773068811, 879.80374112569325, 886.20029478376614, 886.95270847411302, 887.14010043989117, 888.09343222446239, 890.12811342776638, 890.22087007928405, 890.57985391076807, 891.0932575053248, 891.15480819569746, 892.32365816156801, 892.34492118302796, 893.62599491196795, 893.73661041266769, 894.80916145132517, 896.19138798774077, 897.49020876860993, 897.78304541660168, 899.68443878529729, 900.07854357469, 903.64542605526231, 904.85595452415146, 905.12425191293312, 905.78191744497417, 905.92638950418723, 907.31000866255783, 909.67421689090918, 909.73600362219202, 910.21468432115796, 913.12523383764494, 913.91055143761082, 913.95066698758933, 914.2581910051457, 914.38841551380267, 916.47567909487452, 916.85242394051602, 918.04189107528441, 918.2023623040227, 919.37065736177965, 919.47456528090572, 920.67801777106729, 921.16248400021402, 922.89677206659042, 924.57528357996216, 926.59091792142874, 927.2327058516704, 927.91933544146457, 928.06290858844704, 928.84397674565002, 929.04759676238939, 929.61909816810692, 929.74297031818799, 930.77365898914707, 930.82065026537714, 934.37653926686755, 934.41690875103825, 935.47167631417176, 936.85407167737242, 937.18547079304335, 938.09658175262234, 938.63930243595678, 938.97343148875245, 939.71003692305544, 943.49404572264871, 946.39257543015447, 947.42652656437554, 948.9753565574714, 949.21656713984146, 949.81050252267801, 949.92758186103879, 952.17028189470238, 953.57951865313919, 955.97512524903505, 957.58323440125105, 958.19535427491894, 958.75122109851361, 959.67367368868656, 960.42470740785666, 960.7350126616326, 963.22455991999777, 963.54065117779146, 963.9579308285181, 966.19249509325402, 967.06326002048093, 967.1703867835505, 967.80774989660154, 970.62433798094776, 971.19210583148731, 971.42136988110099, 971.90202192760023, 971.92969252744354, 972.05372856586791, 974.29192805912828, 974.96459876282165, 977.32234078888052, 979.40706791418313, 980.44997292628273, 980.74087213898349, 980.97451984600548, 983.14354300881826, 983.4226349638227, 986.3423534339139, 987.20862042060457, 989.33867424264804, 990.27349852409714, 990.90187239340673, 993.00550261513979, 993.30642802524983, 993.68019462330426, 998.05067283773394, 999.55153004723638, 1000.8053583956014]),array([19.178772914878895, 20.799940106600943, 27.188684698885602, 27.936058597874926, 30.558125353720143, 31.133779945136659, 32.620026571690119, 32.993242433931869, 34.330843258979655, 34.893992458936182, 36.363917272722951, 36.47405966904563, 36.7779510619253, 43.609992497903789, 44.765310152638499, 46.116999792404712, 47.419880293508719, 47.628389106473101, 47.820455595106708, 49.18914300340677, 50.309901793960975, 50.494371147288014, 50.699324219283838, 51.819129319899417, 55.266889313367145, 55.370310051660368, 55.828007954415611, 57.77850992506513, 58.111905854954145, 58.238326089746266, 61.662405086680842, 62.066588618353826, 62.438874928953432, 63.614812104837604, 65.092142098827509, 65.50463289128875, 66.117533201752835, 66.744441974249511, 67.650746251691132, 68.024797072196108, 68.087511779458509, 70.528029433115819, 72.047761987585957, 74.411772289336255, 74.48065550446573, 75.316255945984807, 75.713226074625425, 77.592749283238518, 78.597736603057655, 78.784331057369769, 79.559760735336582, 79.770900181495975, 80.928210023215684, 81.225733383152942, 83.693926420079251, 85.519801867332646, 88.017294258968121, 89.436480696835702, 92.046849311578612, 92.316445699417201, 93.036778798455018, 94.040779072675093, 95.843105277378996, 96.112237906907637, 98.447013253558438, 101.35388990526737, 102.15081954530731, 102.50825175483621, 102.59043704232209, 102.61142326799865, 103.23830060163395, 105.27231786259236, 105.46651644419839, 105.68956285139508, 106.1667411561061, 107.42690803814656, 108.36849705534311, 108.77256624953685, 109.32104930682364, 109.80464064665921, 111.05143484438575, 111.5061006225736, 112.14703802451365, 112.2871698632721, 114.67470356939694, 115.94865061254482, 116.76089361143138, 117.40305005431065, 119.20874643355776, 120.47765223024793, 121.56601564280697, 122.16296173276726, 122.87691043637263, 123.19448802597753, 123.64752560922628, 125.28414076533417, 126.2900257077217, 127.97369250097255, 128.19313896702195, 129.7604134431183, 131.31492842636192, 132.02066145787984, 132.98497692100429, 133.01268850095545, 135.46039657248488, 135.69406605580016, 136.09550010752145, 136.77835923398089, 138.68902823166781, 140.06272331952559, 140.59342166977714, 140.6250245580255, 141.31668428247349, 141.40221456364162, 141.87844232575304, 142.0394495704146, 143.1368479972148, 143.2963885255854, 144.91065474424158, 145.76587965725159, 147.12089627031867, 148.11550980414066, 149.34041645842473, 149.52542420264621, 149.83558750824588, 150.55483995469595, 151.44505818333286, 152.62259232137265, 152.85635868654325, 154.97082694186463, 156.07382818216229, 156.80377279928013, 158.84562130098826, 159.3169381285245, 159.49488579605665, 160.52814183080829, 162.01763146790424, 162.22201671593803, 162.44024121091724, 163.15089684420659, 164.20854041573799, 166.33317352041612, 166.85036688497792, 167.76118194382445, 168.26858965324044, 172.01118565804239, 173.11275291112139, 174.70149944677212, 175.63703404224108, 176.51276961585819, 178.87964611279034, 180.05307981930332, 180.27804838514658, 180.43699641189298, 180.59664374816973, 183.30352296855085, 187.56567105739046, 189.94165759478068, 191.29408571553844, 193.03117342545048, 193.60807849096716, 194.30785759832722, 194.36739155061008, 194.74354332616372, 196.43930328148662, 199.18068036301003, 199.743448230447, 200.25016909280694, 200.61887295042374, 200.84643729508829, 201.5779901312853, 202.19461222872232, 204.34223115362332, 204.76840935824424, 204.90189901890031, 205.32303606451498, 206.46692218926043, 208.79232224225188, 209.88217741899689, 210.74213115704649, 215.39701693617027, 215.68382994303434, 217.36352680462133, 219.6790069669126, 220.7357224181053, 220.84111331320378, 221.52123260111085, 221.98728962621189, 225.5440608557293, 225.69538167460209, 227.2847793904034, 227.35197010231954, 228.64566783474464, 230.37707127470009, 233.0653372593832, 233.72444262694282, 234.65701547099303, 235.13349353397885, 236.67858328436492, 237.43932022195102, 237.47856433069765, 237.77140848512593, 238.10102761749803, 238.37778110541575, 239.38102609185023, 239.55198240928669, 239.80853630626754, 240.11923007550826, 240.96852049000802, 241.21702029203112, 242.3625418726073, 242.95600815044665, 246.0468615118333, 247.44728285627602, 247.91695854154312, 251.94368561483395, 252.87088159562987, 252.9937376454796, 253.02194954633975, 253.31714010296051, 254.13792901155651, 255.39914930295575, 255.68527800571255, 256.16228009493545, 256.26580704832566, 256.74124309179803, 257.38449327595691, 258.61880114735692, 260.90014839733249, 261.08254396031538, 262.85657648613017, 265.53027973268149, 266.6677408154672, 266.68944523198337, 267.35456651374386, 269.10394283623157, 270.37410762128849, 270.57810038296361, 270.63196246733918, 271.67139402387693, 272.29525690513901, 273.66605530229651, 273.95064060643904, 274.69861862548402, 277.17120958212479, 278.32155372295756, 279.6158602137225, 282.11091726708355, 282.94885877034517, 284.26195417329046, 286.16981154588808, 286.45819253676666, 288.31878526289825, 289.84038569704092, 290.08419957071607, 290.62747463104517, 290.96513363912356, 291.69838410821836, 292.24061767215079, 293.16345680825623, 293.75421295094247, 293.86121525838604, 295.30710676335394, 295.34816175658256, 296.40767756204724, 297.5719124005019, 297.69534328396259, 298.03083150915847, 298.11543192434794, 300.44317314866294, 301.39686807430138, 303.87739165578654, 305.50793419294968, 305.86081149108912, 306.32422767065071, 306.9173802860152, 307.54486403731738, 308.47532429081514, 309.8187994080659, 309.90228089120814, 311.6525392598702, 313.10043478412297, 314.21000383962109, 314.41541715138959, 315.34724340595727, 320.94810540781486, 321.66966663419322, 322.25565810930709, 322.79402161923201, 323.72235078713135, 326.52396292078612, 327.11892204491551, 329.73736568040266, 330.40744106910233, 332.06683938945923, 332.44607410094687, 332.79692316876782, 333.34752905314207, 333.66043851847076, 337.29734944959262, 338.30177329115389, 338.48382993535506, 339.11227603462504, 339.15095815843569, 341.1905596770643, 341.68809907943745, 342.93358301657685, 343.36363596624187, 343.58610299434247, 346.67240825293305, 347.81383080014149, 348.09357749569989, 348.20325480986662, 349.01176469297445, 349.10447736977784, 349.24119829812292, 352.12983130331708, 352.36496537318175, 352.84754972649773, 352.9627736256632, 355.79817255697742, 355.94187859373199, 356.44082108053317, 357.26745503263305, 357.3657499090487, 360.09916129611372, 360.37074212320238, 361.64806060839715, 364.02597906629944, 364.2724997823384, 365.01930465041636, 365.11424153077462, 366.14715203430887, 366.69081289971922, 367.25284027925261, 368.32656474586821, 368.75195827676498, 369.14764956997448, 370.92882548637994, 371.32517305327747, 372.26151301247626, 374.72671063597676, 375.83235616446797, 375.88804097000042, 376.68767572818848, 378.19738499468843, 379.09967659268881, 379.60130170816848, 380.60463356640935, 382.9982120714493, 383.31357874815899, 385.0704369587794, 385.10443431061736, 386.40944979392651, 387.92709012147014, 388.43031729739351, 388.70323794127376, 388.9570210364846, 389.0820323038318, 391.07949410215593, 392.48852967539682, 393.77902990399519, 394.07631380354866, 394.25427773193024, 396.69957597651222, 397.61988230876545, 400.00782909103424, 402.76415696848971, 407.43357700891045, 407.97638145461707, 408.20902486376633, 409.5245349927863, 410.61573572437334, 411.28986117144234, 411.68689274322156, 411.78289308954862, 413.83261120157403, 415.95442136827648, 415.99212355845862, 418.00666494638989, 419.63401393987914, 420.32378114796165, 421.13195659892352, 423.29959360182175, 424.63189780652522, 424.89564952039808, 425.25462787475755, 425.52343232041437, 426.45346399087651, 427.79592462975251, 428.55868202251577, 428.63344218110296, 428.99887019815208, 429.72268238821204, 429.94558060069107, 431.79847830429333, 431.99897211510074, 432.60948899671229, 434.40274534693845, 435.17617203428551, 435.76023079200718, 437.81859677800117, 439.11920869902491, 440.44327146899582, 442.08394963144139, 442.29204220176842, 442.68745915876195, 443.51707377267707, 445.16702042367547, 445.43813268631709, 445.92282580972022, 448.88140163107187, 448.92107342558944, 449.26211172019947, 449.58232999182093, 450.28647082301336, 450.47374349111777, 450.82690261786939, 451.18004893274798, 453.10373862524062, 453.26082938530607, 453.44219942654973, 454.38896995814156, 455.07769880841488, 455.39068566543006, 455.85648775061566, 456.52005699196769, 457.07350394726512, 457.97723718896583, 458.62892965037173, 459.73203036224697, 460.47431099918049, 461.54140873838116, 461.66950965009397, 461.88859957871296, 462.28160292203955, 462.6400181595331, 464.89442447116585, 466.07710817255588, 466.43974919591909, 467.09717652440645, 467.32488262915331, 467.70876153932596, 467.97203606606274, 469.20022371257619, 469.61038509718992, 470.2486474446826, 472.37574564368288, 475.38357659289085, 476.75390584362088, 477.44292638886185, 479.19630577995957, 479.50846974276942, 480.68982812302187, 481.00988012162424, 481.4032001434162, 483.02095936155922, 483.70990698934139, 483.73844480154605, 484.05660888873393, 484.48830134951231, 484.86315120073232, 488.1603385087675, 488.47550498126679, 489.46529878911764, 489.61300987176497, 493.70746431589492, 494.08345153644404, 494.73883294091399, 495.64734233385633, 497.09461206694567, 497.77430516139009, 498.01033590573991, 498.4001274976377, 499.57337313780192, 500.55359586948919, 502.15407309830448, 502.27876596390195, 506.55686965895899, 508.77510646546398, 509.96006498786511, 510.48624478340662, 511.48066155875284, 511.54231006273096, 512.52110366785769, 513.00386808697658, 514.56129358806481, 516.62649018320963, 516.77840081366651, 516.81809673738633, 517.78391412105441, 519.16632911336342, 519.97460962237585, 520.7496590288788, 521.39381229586718, 522.02990097485929, 523.21034041945313, 525.62949239280158, 526.0663665907166, 526.14130142031968, 526.33374044604932, 526.92419682122829, 527.72762692813228, 530.37516417058362, 532.10912839741604, 533.44937293814701, 534.3332644920954, 536.7373690365564, 537.31025231734031, 537.60765721901498, 539.20677240125315, 539.31208445551704, 539.36827344897301, 539.65450168953737, 539.67586594529064, 542.58815284772857, 543.30356729887114, 544.65135299759277, 545.66776793448173, 546.51034825358147, 547.11168413780433, 547.82474337801591, 547.88756499507008, 549.42772999164958, 550.40155034966358, 551.48257595919222, 552.17713540504792, 558.11666618267486, 561.0090771455973, 562.04972025438417, 562.27339108668355, 562.48183066123056, 566.88009157896556, 567.01622875227793, 568.03837276081788, 569.70964702754168, 569.85366243780823, 570.18032372729351, 572.67873997544541, 572.73682632703481, 574.59760761813266, 575.66116266475899, 576.14251684884789, 576.96413091632178, 577.03978200100357, 577.24487662213801, 578.18253362408939, 582.61679878586904, 583.77607126272801, 584.09152737177624, 585.66093905446951, 586.73891833943662, 587.09255712354684, 587.16303035151941, 587.23572300220678, 588.98741701491531, 589.35511009785398, 591.37851342948795, 592.25643567659017, 593.41457457770935, 595.26083776627911, 595.46163368098439, 596.18290963971538, 597.15700250963812, 598.9291547775515, 598.95807753207521, 599.836229248226, 603.69391960843939, 608.16535831527403, 609.05548346423041, 609.27430436930354, 609.97088289244675, 610.49814866987583, 616.98284267182441, 619.50705972338301, 619.83829271157822, 620.07346616835673, 621.32013598567755, 625.78872907224354, 626.7212941664626, 628.41311622819546, 629.85355364951704, 633.61324853072722, 638.2984921948065, 638.54687376147263, 639.33071248913757, 639.57610970105111, 640.88697095987845, 641.38391901206535, 641.89986618339094, 643.66980633995638, 645.2358195455563, 645.44181671810315, 645.70595840049498, 646.25605332770044, 646.32167574723564, 646.51390012651348, 648.83008651268244, 648.91278398205031, 648.97750308740581, 651.60202385562945, 652.09826334740842, 652.65246565418624, 653.05677160595826, 653.94755101580756, 655.73797455241163, 656.31997462283096, 656.51079674732659, 657.00912404638996, 657.19413985190852, 657.25009069232124, 657.50241239043021, 658.80304460516606, 661.08907001604507, 661.16380723389568, 661.47260260409575, 662.04647520798051, 663.74411273111298, 664.57122582014176, 664.61749805887166, 664.74637681268882, 664.79241498320789, 665.64886538376936, 669.0133794146102, 670.17612081638708, 671.37874679739275, 671.82326357335558, 674.8357488185917, 675.39847939152037, 676.18341545405065, 676.88093066630086, 678.22996832700164, 679.08122154991338, 680.03347592074692, 680.45903330724843, 680.49038770154152, 681.25951161444596, 681.79790107847612, 682.1722908360822, 682.44058444455413, 683.30505073048494, 684.22761083182581, 684.26605496474724, 684.99521362029736, 685.10878104951018, 686.68938648061078, 687.99080990740788, 689.014255976002, 689.31862471010254, 690.51379256089547, 690.96061911036179, 692.2753225668132, 692.62048815384969, 696.95274475989527, 698.12673743233472, 698.74539089368636, 699.98337437700275, 700.76819630058424, 702.61688919174321, 704.4126079454478, 704.82774236615796, 706.98334748473417, 707.80276227792172, 709.49475490395821, 710.27661301462888, 710.48368028991013, 711.76616318443143, 711.79028411376066, 711.9155123873644, 712.66612758797635, 713.35771331165779, 717.72098685848277, 720.17290722408575, 720.54562242512498, 721.39540666094581, 722.49842903160777, 722.61833888105321, 723.33462315701559, 723.60906336487528, 727.68764247809929, 729.73278336802503, 730.17715567336109, 730.71471964671673, 731.55930637457652, 731.61454159931168, 732.18854761993703, 733.10248416638444, 734.18935304144713, 736.41805209736435, 737.0440764973074, 738.06749428817716, 738.72939208053685, 738.80173586035005, 739.75978952719618, 739.85388127924773, 740.7578953783559, 741.26085964715446, 742.75500883293489, 743.49676295328482, 744.74595263839376, 747.19161271794019, 747.85508174150073, 751.02515154742582, 752.44077811830402, 752.69222226403122, 752.9433763977014, 752.96444904042858, 753.0817953875071, 753.26715931876015, 753.777300558104, 754.18207561739825, 755.3423120573658, 756.2127377157135, 756.81698939394346, 758.33648802017376, 761.78938791186067, 763.76602695120721, 763.98476669604349, 764.02045687665884, 764.09656929589448, 764.47071554971239, 765.55677432736195, 765.64170580937923, 767.2755817355054, 767.54924878160296, 768.182174226906, 769.2450568893147, 770.89062100101887, 772.66225904962198, 772.85280155960197, 773.15613543202937, 773.54416209669102, 774.3514363196557, 774.53121587099599, 776.38941521120955, 776.99690399226722, 782.54931664270748, 783.11304246647546, 783.45475211400606, 784.14003080163184, 784.23103465350835, 784.52451911831372, 786.01366760706401, 786.24706019823975, 787.11769086429615, 787.5755564657394, 787.74071445894856, 788.14572234346713, 788.42993194505118, 789.46305019539409, 789.85186172651186, 790.03739794936689, 790.21897030594153, 791.49560258172619, 791.77368984484622, 793.97843268073177, 794.87090160952619, 796.95134088479676, 797.90026969938458, 798.4528154068737, 800.89229281544374, 805.49189795840562, 805.65053401002024, 806.34725501427681, 807.357351409329, 810.01459725150301, 810.76724643451234, 811.22129610423565, 813.36843866527227, 813.60368477679128, 813.83916230439308, 814.5551383136301, 815.50325624725951, 815.68057151467428, 817.68990884997822, 818.81626945795779, 821.30872944740065, 821.76056164967815, 822.56937526840932, 824.40862531981713, 825.45800935303259, 826.39143212573867, 826.58454022104866, 828.35531938941233, 830.25068235175058, 830.44633510295546, 830.94570156415921, 832.42604856566675, 833.29073931888195, 834.63257100059855, 836.60002880166167, 837.273064608396, 839.14404935378752, 839.4518367782307, 840.73205113108077, 841.01455986872543, 841.44616320025364, 841.52103564062497, 841.84009552562225, 842.41734454475443, 842.85807904426827, 843.19737479673563, 843.59772090102103, 844.70665822543106, 845.49542831200711, 846.07703817228992, 846.41895165257631, 848.31002691866911, 848.94683342971837, 850.93975185436034, 851.75602778840312, 852.28612026718326, 853.17977472077598, 853.37340925370336, 854.22049444460345, 854.36953235327803, 859.03654067696732, 862.61097828182801, 863.02106635187704, 863.31045313293225, 865.44174961617739, 865.50877011140471, 865.60047186258066, 865.79691415441187, 865.83880651831259, 867.84477139937701, 868.22987807023583, 871.97850627117953, 872.43884899379475, 877.41515588451455, 878.43398337106771, 879.8893693805868, 880.32643607459545, 880.9054689026367, 881.4131636343476, 883.66632101376899, 884.22077771635111, 884.34324942280375, 884.70127263408733, 889.69133919068975, 890.24168269970596, 890.60279937106657, 895.36225304772461, 896.70387295291937, 897.42832538522759, 897.72005413811246, 897.91041348888041, 898.86334425922064, 899.49944143487653, 901.51687090007727, 902.53196645281071, 902.71345169251583, 903.68224956717108, 903.86206245759968, 908.49227410844389, 908.6539170483403, 909.21067426637478, 909.44542675108289, 909.67895095880328, 910.22711263998372, 913.52874866383365, 913.5561971510416, 914.34906586900763, 914.49060911572474, 915.27774054909401, 916.6982915427584, 917.03271266737659, 918.18572986631227, 919.29170472865007, 919.87802702192255, 919.92182488973833, 920.32235028498769, 921.08163814199861, 921.67968372551354, 922.512070236157, 922.76730717798921, 923.4667663014161, 924.52519042694132, 929.82897070456499, 930.21204850355946, 930.53373572047133, 932.69564759892125, 933.06997013776277, 933.52310306411937, 934.63183928620265, 935.14346961657895, 937.14535087480408, 938.94569501590115, 940.95351245767347, 942.03942937993156, 942.09540817199138, 943.97816376743981, 945.25103894216829, 945.725044003535, 946.57310161896066, 946.8478378895021, 947.13302608406059, 947.92314739848086, 948.59460172080003, 949.52900590126399, 952.7171665523914, 952.79997243854984, 953.72815342032493, 954.24959903537695, 954.42978777827705, 955.77223782328031, 955.81835210014253, 956.562593399447, 956.63433572236954, 957.29014750527654, 957.6816507727284, 958.24630407917607, 963.56451582471675, 964.87115134946873, 965.96261681469468, 966.03460666626779, 966.51826515569098, 967.67242070565464, 971.87556166865136, 972.55438965389237, 972.80839951280245, 973.14160652743976, 977.05624580572783, 977.21180990668017, 978.26955867847323, 983.1642000450347, 983.42399123419898, 983.9230341469646, 984.79133885432782, 985.32151558862154, 986.45779879624592, 986.64953006829626, 987.40078761138921, 989.14117867239554, 989.31402190351048, 989.71775332449749, 989.76987979889577, 990.22818282688331, 991.48921988972563, 991.57819865293652, 991.9484713192137, 992.12428070415388, 995.0038691566391, 995.79706730465409, 996.22553753564785, 997.40839377207578, 998.18742642640427, 998.26317443382391, 998.42012199148326, 998.47306415909316, 998.55393248309576, 999.22192809413127, 999.77700348179758, 1000.1630696573195]),array([28.991905730889279, 29.760300234096878, 30.450648717615813, 33.460935961800715, 33.683226195921932, 38.830648749763085, 41.463296649986411, 44.647957663971752, 46.09198387210774, 46.585089305897604, 48.17429522117547, 49.051044211174442, 49.625043138307923, 50.126296703771075, 50.371143282471067, 50.65414573691762, 51.192965768303004, 51.311158467835355, 51.826914281800398, 52.405019312615757, 52.463062098093715, 53.386388470499121, 54.213436395604127, 54.535511496363902, 55.962915408976166, 56.629145597933743, 56.751253651057901, 57.574218905459858, 59.465581614491846, 60.417161558659828, 60.52752340181393, 61.542044606178621, 61.856307189613574, 62.104864987625568, 65.727465718693693, 65.830735489853879, 67.016078795842063, 67.680179955876227, 68.208223126454484, 69.87218122503873, 74.819437494989444, 75.48479790643799, 76.025798781485932, 76.787326984430578, 78.773390941995189, 80.490132685162337, 81.550363617839409, 81.775642606616344, 82.288543744624079, 84.315505492480256, 85.69785961461281, 88.84583580749586, 89.692357652171296, 90.491671135681571, 90.534457427698868, 90.9137313746876, 91.837509659475671, 93.763889646902271, 94.598757041132728, 95.165797929742041, 95.375534629782734, 95.957968233469614, 96.282232833141606, 97.092713248906435, 97.68886537352418, 98.081884682559803, 98.657635988644017, 99.572456993089162, 99.971659567190684, 100.04622153188133, 102.96068037805276, 104.32500901722132, 104.73428718766134, 105.98529552845295, 107.71091288249437, 108.14972019674845, 110.6564727357607, 111.68117807811169, 112.7010169536978, 112.75771313320226, 113.01748166297524, 113.61963990237386, 114.88866286045264, 115.2641238140619, 115.57543174047619, 116.2354540776991, 116.86226922818061, 117.42731144852853, 118.82758874509322, 120.44835726338813, 120.53753212844425, 121.56557866758403, 121.74939685441515, 122.55578639771915, 122.73092114607108, 124.29575159576235, 126.32196117598356, 126.89638608650735, 128.36479318442852, 128.53824503029801, 128.93255375775058, 129.78910868068104, 129.81851681765201, 132.42869022155261, 132.46012210215278, 135.29069364434497, 136.90429209707199, 137.40337951904951, 137.79260085714401, 138.54005389325042, 139.60831989105336, 140.0868939129827, 142.64577365810243, 143.05763038212572, 144.88290120328648, 144.96420112543612, 145.31961268059615, 146.14304110913574, 147.80336220846479, 147.97752183666282, 148.05980076884708, 148.34842112369012, 149.10785955698174, 149.74054392886435, 151.3655170768117, 153.33153417798746, 153.6431337288594, 153.86169913257874, 156.10360655507836, 156.30406819766014, 157.98665968925545, 158.84564182636856, 159.04015030960963, 161.89169497347461, 162.53253827725041, 162.80843687997157, 163.99602606034071, 165.49064176411733, 167.61337122072146, 168.24576368181647, 168.33606962769571, 168.41955792854347, 168.54705486291923, 168.9277887723299, 170.11572458105775, 171.8928350439501, 172.12311438174908, 173.32220821355972, 174.24728086916102, 174.65426610572734, 175.60613714731841, 177.45122567047565, 178.27352640467933, 178.54567037848977, 179.43995210803882, 179.62533689951832, 180.15479442589304, 181.7102851633355, 181.91150994490226, 183.95738162040865, 186.08793901832362, 186.30934246137755, 186.77346586302068, 187.20087274103042, 187.31398290010753, 187.57994176588829, 188.44024847545563, 191.70526168540079, 193.21121018877639, 193.7876094630733, 193.89005264079751, 194.17650778258846, 195.01296856063115, 196.02341073472968, 196.64135833640054, 197.58403053417493, 201.28581045294894, 201.64705806112948, 201.89190076296742, 202.13075793478112, 203.24110511234954, 205.137425498889, 208.88014099714505, 209.18030927782524, 210.11349022097826, 210.30415407287182, 211.45407843465105, 211.96909826082208, 212.09293705643825, 212.22570797829803, 212.53405781573889, 213.56504372313145, 214.04683998473175, 214.42089937048448, 215.60718453182608, 215.73303194687455, 215.95907113065752, 216.08763636405109, 217.10498696943435, 217.38509660479218, 217.52097070137484, 219.35873275257148, 221.2556879866226, 225.85910483591508, 226.74266256296721, 227.05907721951854, 227.11189504040073, 227.23290492663884, 227.55886986056331, 227.85731067048371, 230.66418774004839, 231.55474942001302, 231.97974299509505, 232.05177608398046, 233.65968589495608, 235.1926245816536, 235.26872807338913, 237.64880590056592, 239.59114629430425, 242.22876732281119, 243.71483615816118, 243.80186826792948, 244.38375424122117, 245.63236507121871, 247.03948623342069, 247.08017787138948, 247.31320233703619, 248.35193550938851, 249.53002842785583, 249.84021535280144, 250.45875160860652, 251.23317720645483, 254.37651708669046, 254.9134710160545, 255.04627625302521, 257.87537947922658, 258.85068926384855, 259.90144677287321, 260.45584173573991, 261.11949148004641, 261.97493134610198, 262.73798375138159, 263.25710359120552, 263.48219174020346, 263.63207642382753, 263.86693301642958, 266.73386210032339, 267.19442984723742, 268.74004994245598, 270.5566136575423, 271.54498455918747, 272.22942234542148, 272.55121670026494, 273.37964817058298, 273.68237152304994, 275.88118304736861, 275.96912005184345, 278.93556415904982, 280.66142224091885, 282.7617709541218, 285.10536220352537, 285.16055000021322, 285.21450395274019, 286.43742944349736, 286.50704967091889, 287.24461187609512, 288.13560658018963, 290.51265048487312, 293.48266980793039, 293.84485301914094, 294.28123987832328, 296.29850171380809, 298.74266406428245, 299.17340974778972, 299.33865932377557, 299.91686533116876, 299.99472798741863, 300.35802263160019, 300.68348471519505, 301.99817294466737, 302.96314978689452, 304.74906746124805, 305.02231990171509, 306.37693398134053, 310.67744909631574, 312.708376349795, 314.08704262032415, 314.43487099383361, 316.12760556890413, 317.0260502869998, 317.52323960844933, 317.84102689634574, 318.11087344573184, 320.45593613522306, 321.26477385316076, 323.14108972335617, 324.31364756511653, 324.43140120721301, 325.43524433626527, 328.13051051987719, 330.65969333652708, 332.60842214420103, 332.66664179754503, 335.50537488813717, 338.58463611587604, 338.69026962692493, 338.78557069177668, 338.83097968059712, 339.47704476147811, 341.85297042891, 342.45853879547258, 343.14915555928491, 343.21871868168427, 343.73978070936374, 344.13687810848927, 345.13678199973486, 345.63876340983853, 345.76471232449677, 346.00145207477152, 346.85355281754283, 348.09460741976977, 349.69277551209308, 352.00270544803595, 353.91080215448665, 354.21286936835929, 354.4303194184543, 355.0529558016712, 355.10895210686442, 355.1942385703922, 355.81544950204659, 357.46804762285581, 357.58906390546889, 359.10303735883747, 360.07416543557275, 360.51409371642092, 361.55693474201058, 363.12605688798561, 364.06456132856073, 364.71660880126956, 365.25552489665768, 365.28605311597204, 369.25477811156475, 371.9916548219262, 372.34233107412098, 372.43062949691085, 373.83637657596353, 374.26334937711334, 374.33880946963518, 374.75674925952882, 375.29677194748882, 375.90806195413916, 376.06769747666272, 376.3681332912206, 378.64613946473946, 379.03296467849356, 379.87629241591253, 381.12359104128262, 382.11821625440831, 382.78248559660705, 385.7461786330386, 387.01892450527089, 387.91547725011856, 388.6242771684723, 389.33005265904529, 389.7569228193401, 390.59719804840859, 390.94180540071318, 391.38371407172514, 392.09392967080311, 392.11435454032414, 392.56413718110133, 392.70211327404041, 393.77294045466982, 394.0262774985099, 394.2796458551486, 394.83725435423901, 394.9713958165205, 395.32751034170946, 395.45011981721689, 395.5122850748869, 396.17207320002365, 397.16110264076661, 399.71452535978136, 401.76607476049662, 402.77568973903652, 403.16588165179127, 403.39559274417991, 403.47358154154318, 403.94511317389049, 405.80342098351463, 406.73504942305237, 410.32524060711938, 411.47929986568352, 411.508656860587, 411.80756208833469, 413.13817584078839, 413.71787223404129, 415.16177881847102, 415.6461869873055, 415.96461559241044, 418.11325166132525, 418.74978379275848, 419.73176336309484, 422.09757618617067, 423.07988178879629, 425.92547874729615, 425.98719642743021, 427.32293365975318, 429.29171510841121, 431.50705252383682, 432.10340117901899, 434.1862019014626, 434.35294779732158, 434.75130394770821, 435.82431864123356, 435.93846866772122, 439.42906934207178, 441.38427006045384, 444.66958190418535, 446.38050259267806, 446.65337462634625, 448.16720355833331, 449.57290621020803, 451.3222494727022, 453.55152219095311, 454.04983429845043, 455.29476905165677, 457.5957186103268, 458.04381365912343, 458.3203842217514, 458.91627126409372, 458.97821402385279, 459.07227326243049, 459.48635792725634, 460.81741802857869, 463.66197744255152, 463.93933102462211, 464.43452439800222, 464.76015394900315, 465.13042961523905, 469.62095405954921, 469.77960976786937, 469.84192912230401, 469.95944101376909, 471.06024152267725, 471.39563432422193, 471.55941918206167, 472.75277962920063, 473.02471675863359, 473.13987233723361, 474.41626821368033, 475.59677249347055, 475.78162219899963, 476.12966457280913, 479.17904930592516, 479.66677292622114, 482.34098606215383, 483.2687461354646, 484.39609318587964, 484.65891649550275, 488.34824934619962, 488.82532702878075, 489.09769000556372, 489.28042153776869, 489.67367525019301, 490.12072048543217, 491.44247462663395, 492.02278227721865, 492.10978748426322, 493.57960401113468, 493.80855144026492, 494.76753931667457, 495.25294754537674, 496.53381364817591, 497.69948865508042, 498.90155990173872, 499.39624172434844, 499.98427511267431, 500.73841915407758, 501.41089156009963, 504.67534802323894, 506.78824924567692, 507.76334125068445, 507.85120633269281, 508.72009770518366, 508.83969539765877, 509.32929023118231, 510.60434792067571, 510.72043692620207, 511.61419780445925, 514.11278623313785, 515.76941907577611, 516.2194680370942, 516.51763549684949, 516.72320799396914, 517.97005263768779, 519.2436445838008, 519.56008860653742, 523.1807428616213, 523.57920068482576, 523.9904103462884, 529.07319815572589, 531.15047886942978, 532.21384999228098, 533.54649068060257, 534.66101253145189, 535.91360303752879, 536.05776755725628, 536.67320286706126, 537.63689155691043, 537.80723502655439, 538.89100175789804, 540.91403494402709, 541.46803878968967, 541.63075381269891, 542.57624867534003, 544.44443659561318, 545.02889111621596, 548.11851246882918, 548.19251107705986, 549.28297571747714, 549.46172156540183, 549.4861353794571, 550.12280544972305, 550.17132273036191, 550.51374162277625, 550.58295609643858, 550.74790828581968, 551.14178277732287, 551.68885136681445, 551.93829951279031, 553.29985102360388, 554.15811079043988, 554.70178577196816, 555.79439928840065, 556.18358408453344, 556.50812420976831, 556.95478035675774, 557.51229802900946, 557.83702483611501, 557.98276744659358, 558.46420067468944, 560.72042006466336, 561.02152709646884, 562.29869204333886, 565.80654415053914, 566.31623275524373, 567.37206384498631, 568.59159265120547, 569.19922271078201, 572.25498609704425, 572.28743203667864, 573.10898039258666, 574.10333916210948, 574.3686987911999, 575.66276542651997, 575.7873609763476, 582.30959888009977, 583.52910962646035, 584.02585772850057, 586.13882594151607, 588.03618500847085, 589.72219392649583, 590.35964209267183, 591.79448552778388, 593.95041826948739, 596.17519669759747, 598.25843953992899, 598.72597879968885, 600.45974536342476, 601.30398932545415, 601.41978665307295, 602.90408685576085, 603.85749580807396, 604.75463960929369, 605.33656505057741, 609.13070162157362, 609.80551863496498, 611.09515421535116, 611.51952917772792, 612.18327507065737, 613.33180516348841, 613.63550977972227, 615.2070423103404, 615.48828943261924, 616.72539577961095, 617.43674325026393, 618.47843197293219, 618.85831808122111, 619.05095733708686, 620.44072975425115, 620.57242562288275, 621.63943617781354, 622.2013770553267, 622.2703010061382, 624.06122623853025, 624.51640938290313, 624.87414072919319, 625.31895435748527, 625.36395152094531, 627.3750700494021, 628.04791452737402, 629.49301720039659, 629.58566810516459, 630.11663457371822, 630.43924355983916, 632.15732496413125, 633.88826129765005, 635.41165550173969, 635.51547680041585, 635.66710550199036, 638.25837429204319, 638.93069876755715, 640.07988318563287, 641.84292662613541, 642.24314468662135, 642.42680448581041, 643.88825819817691, 644.10305911067144, 645.2824033310859, 648.21305585839139, 648.31156713036512, 648.48460911477048, 649.13012455300168, 649.47651945477969, 652.65500212639165, 653.68129222742505, 655.17276046598477, 655.30839822685493, 656.28594586255849, 656.40898474571452, 656.94228547187038, 657.56467911518689, 658.59018292899282, 658.8782153933621, 662.09232931579652, 662.23539795187276, 663.86690758522354, 664.49283520071276, 665.7345380118644, 666.38359596952625, 670.90651090859762, 671.19256386271229, 671.9513408839797, 672.77163080768094, 673.4818669193495, 674.91756718631927, 674.95753267191958, 676.70168593904725, 676.80758389757375, 678.38639242498448, 678.77257576404747, 679.80371077597488, 680.77420293329067, 682.27424539326773, 682.9998149791146, 683.21692120874229, 684.27308060019834, 687.49079585601464, 688.64103525655059, 690.55194121427382, 691.41636465922909, 693.03383459170857, 695.16420150203999, 695.64288987985481, 697.39080515230876, 698.43710670500786, 698.93417909168568, 699.26708853956143, 699.48475871097673, 701.53826793361122, 703.42406887140135, 704.50329871034307, 704.76503459596722, 704.79783436246271, 704.98738448249912, 705.44189801318953, 706.58104702959133, 706.85953086855113, 709.03417022648239, 709.11247910295606, 710.74599607523191, 715.19389360901118, 717.04648124910557, 719.18242649905653, 719.53412631395838, 720.06533128367744, 720.73490702730203, 721.91937001819088, 722.88740734018177, 725.20074694282744, 725.2685170074908, 725.29374424449804, 725.3267337783459, 725.34696305863679, 725.47895696117962, 725.67340568538305, 727.06560445969137, 727.89717799032007, 728.94427073408497, 729.61287248466203, 734.97774778464895, 735.21133975441637, 735.66529005494294, 737.61192623311763, 738.16544768235167, 739.24423178065399, 740.76883510522612, 741.58398444203624, 742.52848421055398, 742.55137507070015, 743.51869328681926, 744.11176737255209, 745.21810725636146, 746.50896447965476, 746.79912644948502, 746.97873480822739, 747.20829639302269, 747.67602988592569, 748.24063308266057, 748.49897135006893, 749.99587400473922, 750.68160532227625, 752.83201935022328, 753.52233917732747, 755.99093053447609, 758.45235180409657, 759.64669766151724, 760.10333471305535, 761.22541455373312, 761.71875824447488, 761.75370252509686, 761.8277037566038, 761.88942720107434, 762.91807554567197, 762.98541105351126, 763.33299064586549, 763.40693765788092, 766.45185901895206, 767.28586227476887, 767.57046421402447, 768.00881273467792, 769.57322236015682, 771.226175437282, 773.35808412857716, 774.07472949156556, 776.08376018001172, 777.61790344919518, 778.7464773834887, 779.16591939654961, 781.05540114953158, 781.81713390342577, 783.24982966112793, 783.51319866619531, 784.8524996318763, 785.42296493254128, 785.56305439220205, 786.61633829007883, 788.71549661038637, 789.53427610300776, 790.72464866228142, 792.61384312759969, 795.43227318207573, 795.52959051902349, 798.6173470187772, 799.37838830252213, 801.13951596128084, 801.81823690036504, 802.43974236067015, 803.26561314980052, 804.46332926759055, 805.93992980768314, 807.39792077118227, 808.77564464365605, 808.92075708478626, 809.35084709402076, 809.93236998968769, 809.96551236954906, 811.60932993882682, 813.12779479622941, 814.54034933743549, 816.45978167148894, 816.53967468538497, 818.84894312381903, 818.93426987091379, 820.00875510598598, 820.82597741694872, 822.70213868455642, 824.13542145804047, 824.5684609163493, 825.3290182630202, 826.15466150056989, 827.7702242586281, 829.39879080194612, 831.74492793166985, 831.81454817267763, 831.88830132045553, 832.3238273449341, 833.64055002452926, 833.7758894303181, 835.02777223510088, 836.19956155697571, 836.32547732512285, 838.14867405946723, 838.66873834776777, 838.87751572341779, 839.50360909505048, 839.75144171389491, 840.06498312101792, 840.25405276468314, 841.29918541330596, 842.16350197995223, 842.30554578855174, 844.12445077856353, 847.56813717291232, 848.6610219687069, 848.71722467748816, 849.77495703965053, 850.66999518623538, 851.07586979466214, 853.82900922404781, 854.82681721005838, 856.48938236217555, 857.56388661523454, 858.01978526808784, 858.10054583787689, 858.32417652253321, 858.70365201900267, 859.01091288446389, 861.86570776183623, 862.46606506961155, 863.99777340040703, 864.40574892101813, 865.68149729888023, 868.83897012454065, 869.37668027020356, 869.44514920782603, 869.97281702897669, 870.28832105765593, 870.80661186171437, 870.9597698864178, 871.08605608721666, 873.0913100395079, 873.23457933621955, 874.40871126923719, 874.4609796652453, 875.84472868562, 876.75333799964142, 877.07243864489112, 877.4397666247495, 877.49844042063444, 877.93483252108251, 879.02057817551633, 882.35314069171091, 882.85429790509124, 884.93034383928807, 887.3101191796469, 888.38895037848226, 889.25709000735799, 890.83926216969451, 892.9363644128216, 895.31835946626552, 895.92159395018632, 898.50222654353456, 899.00267147550142, 900.1486212268419, 900.18864893316197, 900.37038042078814, 900.89768476206405, 901.23128078956915, 903.16648547400086, 903.35145274348497, 904.28932745184966, 904.57900500856954, 907.44047967219922, 907.96548769984042, 908.65428192708453, 909.44189870499054, 910.19958233544935, 911.38255929864238, 912.33031040431911, 912.99633168615185, 913.28867540441115, 914.49779220942969, 917.61171310104055, 918.39895869908241, 918.67097625069607, 918.81392798499201, 919.34492225463657, 919.47101352850541, 920.30263312054512, 920.53030296252427, 920.74961230948679, 921.06017985339849, 922.518596845807, 923.24624431105372, 924.78927607989181, 926.40721963258909, 927.29993215731326, 929.07666568101217, 932.80206253124618, 933.3287938036807, 933.97542538110872, 936.09146540125425, 937.85907643722396, 940.80168998524687, 942.48882595645978, 942.59683359087489, 944.42197899618736, 944.46307424772567, 945.27033596077501, 945.88348739075514, 948.98418534554185, 950.14607215252249, 950.61267195632229, 950.79183698299448, 951.655986938806, 952.27952953369459, 952.38770648749914, 953.88364220523113, 954.07716478723444, 955.24881375813425, 955.46076839987768, 956.11929938935691, 957.70725369088495, 959.62190189656314, 960.11323393060422, 960.26041580692618, 960.30505918201459, 961.25577645209387, 961.47786239195284, 961.75238054474835, 962.47714330673534, 964.91832252113193, 967.35029790751378, 968.50142029022061, 969.4401030396798, 969.93617324970478, 970.08284281892509, 970.74788551419431, 972.51406706325713, 973.57915858813362, 973.82513134669182, 974.91465217705843, 976.2816904238889, 977.0526497959379, 979.16197539788607, 980.55299377743302, 980.80847274512178, 980.92344763325946, 981.34824112629303, 982.01682775961046, 982.09279074717801, 982.63997763017221, 983.48645800442569, 985.8475748820066, 986.16500023040214, 987.91163848255519, 991.02079233002235, 991.52555618255667, 991.65575622567701, 991.72767714828808, 991.79880525481576, 992.12009685126225, 992.52084986846421, 993.16115828123213, 993.82764582573941, 994.40122434778152, 994.74155660377528, 995.22052995690603, 995.32643993495935, 995.68146984354962, 995.7498558101729, 996.29283129024225, 996.48391491627308, 996.74147685844218, 997.60651413950518, 999.62324184647252, 1000.9682121826311]),array([13.631811961240381, 17.161563665132441, 17.634195182103333, 18.358796826747721, 19.740616849768003, 19.781898296405139, 20.573180004136347, 20.780730847932173, 22.067487116680425, 23.599667775333902, 23.674123521923228, 23.956180560142258, 25.123678659167524, 25.24230324217784, 27.328140491771897, 27.849381729011007, 29.218412937390269, 30.986049612166301, 32.893101662276301, 33.01304232699151, 33.563413887871263, 37.600737595345045, 38.011805743887265, 38.111251529081123, 39.127582518892908, 40.786914654954813, 40.823243370375465, 41.724211603134158, 42.353542036066962, 44.32433720714495, 44.398781149522222, 44.45282597451267, 46.388290607108445, 46.759107021174898, 46.98614900923657, 47.19369287239401, 48.798556685970318, 48.891954989412518, 49.121749090504139, 49.436909899658581, 49.555602184498618, 49.701971885234883, 49.949996676948338, 54.015172962436814, 54.139549221794006, 55.794816692020746, 56.135343400089731, 56.360798300721648, 58.111113204166635, 62.382031809514949, 63.854216111547693, 64.380177954462525, 65.004791284789221, 65.222898242532764, 65.498973157256827, 66.455190274611184, 68.048556854199788, 68.389121225333255, 69.33655130804182, 70.830571636299112, 71.64404674451869, 74.917775309255234, 78.389721743217365, 81.008872468001059, 81.778906305805847, 83.314531492644093, 83.736928713111681, 86.244102054087875, 88.557190644330149, 89.185671375885846, 90.29893615072163, 90.325426885147024, 92.075023736086251, 94.021060995011084, 97.042215660443219, 100.08566738438596, 100.3947541423741, 100.58714868234929, 101.21478598303443, 101.26570733082934, 104.57652732685038, 105.45534013602962, 105.67927249474721, 106.0538838429718, 106.89296621440614, 107.41969554236984, 107.92682790943925, 108.02608404390318, 110.10879529442535, 110.7983484155389, 114.06609144226684, 117.32750098565533, 117.49535652717293, 123.5836276825183, 123.86962810555924, 124.11435523771696, 125.07253302992582, 126.33212217724373, 126.83049753088473, 127.28237329614146, 130.88543879710545, 133.69940837934325, 136.25730566424207, 136.54008069197292, 136.58618705091138, 137.38011666822067, 139.35567276354038, 140.55697324157617, 140.83759638626259, 142.5349726451725, 144.86975583178676, 146.01087574073043, 151.31942707083945, 151.36298436646499, 153.21277140534423, 153.39078300727314, 154.52205047272071, 156.45610348715817, 156.9434825754384, 157.22426870409225, 157.82359518863822, 158.86475183757, 160.58806657960608, 160.712259447023, 163.18020411350528, 163.68522091293352, 165.33401323398388, 167.11813681753338, 168.4518514742208, 171.14586012425195, 173.12640304584713, 173.20824795425676, 173.59242829018351, 174.04412861632639, 174.15259411551105, 175.86139116755172, 176.69773800596772, 177.92075968546195, 178.20650476422304, 179.60288903558993, 181.59272034912524, 182.02747745912305, 182.36512971389209, 184.7811153925405, 186.94705195452514, 188.12394072066786, 188.19141691932811, 188.92340239744519, 189.62126690028614, 190.51361208005824, 190.71428067006551, 190.85586746828224, 191.38233656251575, 192.01880542924278, 193.4012026155749, 193.42450404210368, 193.52185985542278, 193.58027010034294, 193.6233958802155, 196.62349873540708, 197.91617396135638, 198.36760155619015, 198.97504667866238, 199.12141373464476, 200.27326871962853, 201.5240163798608, 201.89215048475185, 202.67575071794047, 202.97023009200115, 204.86074201078645, 206.49943366298388, 207.78245673307583, 208.15016095460044, 210.35848084880698, 211.11339737031423, 213.6080512992155, 213.69854367641088, 214.11064767412518, 214.32395619230803, 214.43400278339749, 218.9604254487181, 219.6207559922068, 219.90789878862915, 220.41669970059002, 220.48932051525583, 220.82047728496136, 221.5751984658618, 221.73630305787177, 222.55313070475896, 223.00356736899451, 223.81203004715414, 224.06786255708511, 224.85146464215433, 226.25194475904078, 226.31260259650358, 227.05281720355461, 230.65072453020474, 231.16039355472148, 233.78639871234401, 238.39358932524601, 238.60837105106808, 239.23786090821008, 240.36997977855521, 241.36648973565343, 242.24687208067363, 244.20908592986839, 245.00191660258679, 246.42537984841098, 247.42736365381307, 248.91678988932884, 251.01839943993366, 252.95983800993866, 254.41718723975373, 256.04712251546016, 257.84894245698456, 257.92612405803811, 258.51794490514158, 259.11779849748461, 260.06036856824369, 260.09108475057928, 260.16397483973617, 260.30111928920991, 261.13764754672195, 263.63297339588189, 264.38249195099053, 265.19462797298269, 265.23492062022348, 265.41992471898345, 266.46351200626469, 266.87014606782401, 267.56570608651958, 267.59454506102026, 268.47062695515478, 268.83535846801897, 269.79738993119878, 271.08149985160077, 272.12758847292901, 272.59815595622126, 273.17008418865981, 274.08935045322039, 275.03106706470146, 279.18174285753696, 279.31680796142973, 279.40205377140614, 279.5902948738925, 280.09908952372399, 280.3934705072021, 280.75460629435997, 281.58140194167441, 282.09767600929672, 284.11577577033222, 284.35478142148531, 284.89825716518249, 285.35863090930434, 286.11898244598478, 288.04072675659535, 289.89967165243689, 290.32908335135471, 290.93867448327751, 291.25445503432371, 291.49732959202095, 292.87304035625414, 293.38959239543345, 294.07854473970042, 295.58410133563706, 298.80597387478116, 301.71140355958488, 302.03434016656485, 302.29459068489228, 303.85008765361772, 305.68039492645397, 306.52915741659785, 307.29296366098379, 307.72860780842183, 307.87085122893427, 307.92250557188675, 307.94388277687193, 309.25969162991032, 310.29562097330984, 313.15246019875724, 313.71332897464725, 313.8427841227803, 315.18843698987212, 316.04546995698513, 316.40320888674842, 317.08893388124733, 317.96695906474946, 318.86580650898748, 320.25316944040117, 321.13812922191397, 321.46773794811219, 325.60701607029, 325.88577720690722, 326.56132943849445, 326.63141648241918, 327.64483743731199, 328.15426707380379, 328.4364578281336, 329.63708697060412, 331.85247057470605, 332.0910058347103, 334.93513450742, 335.06310699340361, 335.40826253842044, 335.49468937059294, 336.98014168373112, 337.79589481404241, 338.08927155781379, 338.69047711099296, 339.50205490381063, 341.20331096780478, 343.35844493839409, 343.91268070031339, 344.18189149119968, 344.65168127189531, 345.09594861213662, 347.66657893089479, 348.68976200919701, 349.79755471801872, 350.0932519592925, 350.99758614653331, 351.03760441559581, 352.16383981620373, 354.07073770464024, 356.95913715133855, 357.59497727145464, 357.79210624258775, 359.16326669392498, 359.94839579937849, 362.53180030697183, 362.83012482715031, 363.36524717154555, 364.73135245706078, 365.70157448289456, 366.70275449145043, 372.3286383814351, 372.60888517642587, 372.70994082950909, 373.24679512344665, 373.82588589748741, 374.47455935976996, 376.85675543375692, 378.14038143013687, 379.2700147153173, 379.58108034111626, 379.72271439074927, 382.72071082158459, 383.53854103844981, 384.74852218124215, 385.32234491402801, 386.40750153002205, 387.25196262626798, 387.90572276211134, 388.3455221994875, 388.7953528281779, 389.87030099216611, 392.66557405231777, 394.76255384417465, 396.38378388391692, 396.95140332983709, 397.70066600973996, 397.93913518290083, 398.69987407199318, 399.44135183144959, 400.75832124809921, 401.96077307504106, 404.98094981911925, 405.07420770710979, 405.26677824338492, 405.49611573469195, 405.91732101435036, 409.35089464098712, 410.54362870811678, 411.18503659911715, 411.73481675209791, 414.66122586218347, 415.18846573425543, 415.79149643484834, 416.51493017073074, 417.41769327216906, 417.56789792147021, 418.86807328158665, 420.11529569319555, 420.49445574296692, 421.12859370808292, 422.5746574639021, 422.62075238318306, 423.30907704870123, 424.21555534380303, 424.55702828727607, 425.10118946641086, 427.24155592777356, 428.30484919584563, 428.99217707418393, 429.84152616817869, 430.78288236317957, 430.96717005271051, 433.99744176072903, 434.03828001853896, 435.59061351100985, 435.99133797827488, 436.31087349004423, 436.58989536330699, 437.254905449327, 439.43011076617114, 442.83716427918472, 443.03405218519208, 443.0542559019753, 445.23891652776035, 446.06340405024764, 449.3821148010897, 452.10971185834472, 452.44784849381932, 454.38857226219909, 455.2119898733701, 456.13687300924454, 456.7080945491935, 457.86464606200315, 459.31686538930416, 459.70970081154775, 466.87999228205882, 468.26581383898656, 469.01259787386431, 470.62935354577138, 471.07777930144186, 471.54303537056774, 473.04880099828222, 473.41477956215647, 475.31380185247571, 475.92609223696206, 477.5321461767665, 478.74935738250218, 479.85509382128072, 480.63118123820982, 480.73108206960723, 482.53946424346464, 483.05930426707397, 483.45329425340958, 485.09418591294417, 485.73223663544593, 487.68302928466113, 487.84710050404914, 488.63098699541433, 489.70250480792805, 490.90141706181589, 495.94163596730124, 496.32484561357279, 497.59138093200471, 497.78358159688804, 497.88509545340389, 497.98751648371672, 502.26150749714043, 502.32989685595254, 502.48083295248273, 504.33807985257619, 505.01553799037515, 506.51673283993631, 506.82036710638403, 507.074802507176, 507.19342755698091, 507.71377060855883, 508.41374188153679, 508.583564093235, 509.85876925201103, 509.90566938234855, 513.17518774218763, 513.65116834479215, 513.73727695772811, 514.43167525525712, 515.36590438053554, 515.96014810299494, 516.66047751773522, 517.0212297342074, 518.00287388899528, 522.1091482014233, 524.63488025428592, 524.90567224831511, 526.22919357799378, 526.41981061472643, 527.10298006586697, 527.37811484508427, 527.57055472572904, 531.81264514714348, 532.47898790085117, 534.45954096794912, 534.9335237360898, 536.53692387147987, 537.18299271809587, 539.00594801272541, 539.57993945562612, 540.34914514071397, 540.47136584884333, 541.27438901258699, 542.48510441690826, 543.51889728149501, 547.59761202490722, 547.85522544308901, 550.06575773030011, 550.47320059228252, 550.91223788485547, 552.33602393409762, 553.25540925372354, 553.70433442650233, 555.88453741101637, 556.31895312743427, 556.58769044064115, 557.88578838330375, 558.35232396504489, 561.04193866008825, 561.24320545242472, 561.77097333122924, 563.21724721956934, 566.70805645236624, 567.52033513257038, 568.95866031941114, 572.46109019337018, 573.03782057458318, 573.51912953583394, 574.40474693133001, 574.60021558887593, 580.8121083566466, 581.22758543200541, 581.67605549678638, 583.56687215460897, 583.62001532538648, 584.25284150039215, 585.67399564296193, 586.57487782605824, 589.08686902909301, 589.83348127239833, 590.0910967701102, 590.39737022258782, 591.04489063035737, 591.19391848410862, 591.50490635710412, 591.66959605969328, 591.97901304282925, 592.14544457050079, 594.66314842787403, 596.08964722859992, 597.53540703731733, 597.61666460076276, 598.89074542843821, 599.52081610051857, 601.18908684243729, 601.73255586373421, 601.78466837517135, 602.17795967792858, 603.1653273141917, 603.18840728410021, 604.07396010815603, 605.98835206738624, 606.89896573736166, 608.352176367634, 609.74064684136806, 611.13916161121665, 612.04833911977289, 612.07613102785206, 613.08318674245436, 613.72959505625124, 615.23344073720853, 615.47029886552707, 616.01369483801113, 616.10146092345406, 619.13626573591557, 619.95524570150315, 620.20614734777462, 621.13726300057419, 621.40005334628347, 621.68789566018108, 621.99259740303182, 625.16870299001482, 626.72945510169393, 626.83682691181025, 628.3200965933396, 628.52214761866594, 628.85629270334039, 631.71208978716561, 633.92661812103563, 634.04038010490194, 634.624947273364, 635.91862181132956, 636.50469686091424, 638.52299114082007, 639.35358240906021, 639.77496199131076, 640.7525603421077, 643.20741301674957, 648.26497503797202, 648.65450269359428, 648.77540906429181, 649.13215416689457, 649.6394376746365, 649.66215496529537, 651.11444524599494, 651.97793024988687, 653.30276762926212, 653.70977607614816, 656.64568313228517, 659.45669511412825, 660.41176110337608, 660.68097147111462, 660.70595292240364, 662.90283366908295, 663.407043754553, 666.24496489737476, 666.31435165674486, 667.96729413712364, 670.54052781731752, 670.61678273850782, 671.13372927588671, 671.96154781043947, 673.69679124004574, 673.94203202922824, 674.95055472407671, 677.3097039598548, 677.49086032582716, 678.82884754532643, 679.01589924309474, 680.13075271189166, 681.28193116026409, 681.61097420144233, 682.49270969310214, 684.28229225548205, 687.01915178282741, 687.86209560446662, 688.25104500164377, 688.69268465480332, 689.88146331926305, 690.86129779360988, 691.65439481111378, 691.98508781990915, 693.09374663460096, 693.33980881856746, 693.6844238941045, 694.54301824333652, 695.45664660519151, 695.60158640388897, 695.67769146303874, 697.39264127128331, 697.73105110472193, 699.35538219332693, 700.86869549200662, 701.20541435288249, 701.76251126384193, 702.60021914810102, 703.0279081408496, 703.88892992286617, 706.30968607908483, 707.16907995105521, 708.27624352988187, 709.31523874783966, 709.35282231800625, 709.56804663355206, 713.3307165647052, 713.48352422561015, 714.81927546897043, 717.96332106052046, 718.06948149069945, 718.30638200781016, 719.13379966542561, 719.31279115338464, 719.75985300596642, 719.79740647145456, 720.90627274283781, 721.20277246599971, 722.81277970477186, 723.00244659634438, 723.04383917234986, 724.08365603665231, 725.21153889411335, 726.16266230761505, 726.73558453360135, 727.43219974184183, 727.76987679660124, 728.04232285561409, 728.25153129734656, 728.28510634551174, 732.31592338916482, 733.92370776998905, 734.38518427136466, 738.00584614290108, 740.67968044242241, 741.21366427155033, 743.56224773474526, 743.58648262495058, 743.99907350645674, 746.05912889530873, 747.1671216969437, 747.59953024435049, 748.53904867108156, 749.00434212003393, 749.30263799380418, 749.75907581454248, 749.87321968466165, 750.86111883270235, 751.98715816594904, 754.38818466719761, 754.51927291844731, 754.59947404961429, 757.59414147246787, 757.65302095845323, 758.05677416007325, 759.80127674310893, 759.9847544411889, 760.37271094500636, 760.66089245564251, 760.81249554860699, 761.0818758413933, 761.24927604417257, 762.92804245174818, 764.29970086397702, 765.0471620945508, 765.20587253077224, 767.03281744362437, 767.45005053652756, 770.14425912618719, 771.02737554576902, 771.05474147572465, 772.6570397768711, 773.37798922923992, 773.84138998138383, 773.87311418682782, 774.2931226618673, 775.13516942669435, 775.97236152956134, 777.42472731869771, 778.49530465827138, 779.8997566956383, 780.57470243766772, 783.21107806578766, 785.44121722750845, 785.90842971393613, 786.37845422195551, 787.30651344055195, 787.59127464652272, 789.77344815826882, 790.27086339097627, 790.51050570409677, 790.74344832140844, 791.16054330375994, 792.6700119747785, 793.74557619746918, 794.13142372734967, 795.2657741380151, 796.49068985540873, 796.55096172657727, 796.79201577293111, 797.96124429692168, 798.41501200996993, 798.77595848913973, 799.13381636230258, 799.77554690983061, 799.83000921337725, 800.54862862433879, 802.29755191475738, 803.02594608134928, 803.8044025004757, 805.41540890440865, 806.23984948577822, 806.39736281195258, 807.243434102685, 807.49985665814131, 807.7254062578686, 809.36799810647312, 809.71274528961897, 811.53211493474851, 812.44663806074448, 812.70319051084016, 814.58480845737029, 814.70214348215825, 815.33745531733518, 818.72958969805939, 819.02447617030089, 819.5920036425083, 820.060338630243, 820.96748250479709, 822.41968387390023, 824.94724779078194, 826.03283420259118, 826.64407306628038, 827.57045584968103, 828.45634837898945, 828.7164370236402, 829.16620821496031, 829.48612222377017, 829.5200606186678, 830.29415653353828, 831.00296784076761, 831.42882174529154, 831.80757893982752, 832.13443477888575, 832.20422759304381, 833.5176665303228, 833.76296933118033, 833.87667344010322, 835.22154984348276, 835.94538579315292, 836.32589381193384, 837.06546846246385, 837.45327525692892, 837.80199615909351, 838.28028959912933, 838.72042222557718, 839.26063855682946, 841.84638095833532, 842.68387535945442, 842.97613579486392, 843.50111619924769, 844.62338791586501, 845.38587802233542, 846.04121024416156, 846.06736248620371, 847.6363497025178, 849.68398367134023, 851.22959020833753, 851.32110416635908, 853.65796910985171, 855.70183003023874, 856.17779907865099, 856.51742542097054, 856.96025800114592, 857.32051376143511, 860.88087665608907, 860.90952845419827, 861.84687558891619, 862.98317714208099, 863.86646995758804, 864.90662977780516, 865.19465810842769, 865.6416458741794, 866.1282318099959, 867.81731047601204, 868.26867661076517, 868.89847037256584, 869.04681205362476, 869.47338202666674, 870.21736079146729, 870.40686661923678, 870.97564012577823, 871.73219210920013, 873.44135965481144, 873.93249278602661, 876.6702205297787, 876.8118181238907, 878.35305396900412, 880.69810621429042, 880.76071972673572, 881.77369196924656, 881.93055223758518, 882.60833956782119, 883.29758011846707, 883.53819918188856, 884.55213361490098, 884.62461156986615, 888.11741874407483, 889.06907574259822, 889.96829697169665, 890.78840257564855, 891.7801152520185, 892.19408071244027, 893.57246406947354, 894.26393378593752, 894.84435676448936, 896.42954881236813, 896.57761063454757, 897.05188436676553, 898.06820846470293, 898.75426852429609, 900.97627816837553, 902.71976201408222, 902.9219635948964, 905.55930884991403, 906.42553685708572, 908.10425080776031, 908.46828522425278, 909.88933495469291, 911.15155163327745, 913.29586315559811, 913.41812087140875, 914.60150820402896, 914.69642014655176, 915.87461265319621, 916.51506967562534, 920.15873083695487, 921.86603685817931, 923.3207063300357, 923.72921173244356, 924.78192169785689, 925.67227054564705, 927.17247467289769, 928.41705801863873, 931.09680283224907, 932.0903598793634, 932.64824149043875, 932.75201900296668, 933.86797337904943, 935.5611935485075, 935.72140655234523, 936.08381682527181, 937.96106038846051, 938.8693456424744, 939.36268020387035, 939.89187785407273, 941.12368034211693, 944.15064380625336, 945.35161429323034, 946.1051926390453, 946.93391835868385, 947.2173073608335, 947.9593356255034, 950.84739209374732, 951.04858367161285, 952.4251831643636, 955.15015616951598, 955.58405025706827, 956.11826738564616, 956.5132711453457, 957.36784935473543, 960.28684928716291, 960.59331826058599, 961.14216818032867, 962.08668610477525, 962.95302264632733, 963.37062089047322, 963.46822515440203, 965.41045583205607, 966.62010630502596, 967.04505676002259, 967.46568227583089, 967.97658262029074, 968.37709934857185, 968.68210299923703, 968.74652059884545, 968.98231816321515, 969.32315745441474, 969.65461133351027, 969.76359642470084, 970.63232014839878, 970.7707542147939, 970.88354046843244, 972.04576803880047, 972.10284961820332, 974.96011638600044, 976.23401123953499, 978.72383173946673, 979.15368850083019, 979.93150325648924, 980.25998732349547, 981.59966302948021, 982.05127648384632, 982.17622700364109, 983.16663238440685, 985.87500927471774, 986.44478344429297, 986.80538705345862, 988.54659940938473, 989.32021263492652, 990.04860746313477, 993.01700348740883, 994.46280749380901, 997.22720097263823, 998.41185140968878, 1000.1877451336547]),array([50.41455062490602, 52.21991554604088, 52.629188811485193, 54.30995059987336, 55.908893224786382, 56.435166957931621, 57.385004806894713, 58.42846905371254, 59.720969073717747, 59.866400099130111, 61.130567709049707, 62.41432915986956, 62.722538571466949, 63.552740576767043, 64.485608114425943, 65.082067644123526, 66.405365057019011, 67.021998106240957, 67.464880883080482, 68.524179766215525, 69.214025902526828, 69.756057627060514, 70.765574953920108, 71.075224093145039, 71.127599252932882, 73.01764676776574, 73.856556614623202, 75.487269438259759, 76.896631231233556, 78.66750251745178, 80.004296741835489, 80.452368198743741, 82.307156666840356, 87.263766822284765, 87.583035748628291, 88.618483147138264, 91.146968067200589, 91.198676503256209, 91.29685692118295, 94.583158232226268, 95.286556303202929, 96.988085934837031, 99.227148801581606, 100.06598152198646, 100.63223675740397, 100.7933627929684, 102.2764700959877, 104.92031530539053, 106.80377503466009, 108.73646866288516, 113.26299306335652, 115.99485405180035, 117.01969232396944, 117.52147266564371, 118.40341798725204, 118.43825861386838, 118.47290928554305, 119.07974253576201, 120.65430618960555, 122.26543565451307, 122.3178709675078, 124.24209200879991, 124.66218602154946, 124.84874587365017, 125.75844484966105, 125.83797633359912, 128.03756396452812, 128.44379904782929, 131.38484828804636, 132.66291722583986, 133.2733900291492, 133.4810809493959, 133.90713038931838, 134.48795444721, 134.68588820985457, 134.93812359169974, 135.72528034268174, 135.94509972816789, 136.44893317287537, 137.30046506352133, 138.06936123384247, 138.49977757069482, 138.6989630011746, 138.80567619458517, 138.86696630616427, 138.89491035720226, 139.61381826797654, 139.95643069181796, 140.18017481275658, 141.3696175337854, 141.55487639779099, 142.42442315230323, 143.82982192700291, 148.77962853643052, 150.34000242627383, 153.66746197186643, 153.75120458992856, 155.31222193614644, 156.72376369926019, 156.99226082518948, 157.38707105758678, 157.41199944680105, 158.07108520838716, 159.47619509737339, 159.65834227522924, 159.776434759849, 161.17736779023801, 161.47997356543146, 164.06994328259648, 165.46195313509074, 167.60339429862466, 168.0591773312274, 168.668828601146, 170.13631625405742, 172.16318891229315, 172.97909534213503, 174.13503764860494, 174.3479669728917, 175.16977921907826, 175.41723992404297, 175.90153351644733, 177.15175683099815, 177.25559386017241, 178.45421657350053, 179.100030771478, 179.75671248000819, 181.01638519745995, 182.16015666188309, 182.55874647454061, 183.79765693739535, 185.84151016445998, 187.38204070547962, 188.72007893890424, 190.21388642224255, 190.58018948440414, 190.99104854624375, 191.19762069909086, 191.25127146992784, 191.7488246220783, 191.94134749706814, 192.43942979685139, 192.65711627837027, 194.15555989820041, 195.42284635055856, 195.76450407031859, 197.34678060837192, 199.43528266859579, 199.64304202634324, 201.80153769664022, 204.51618667695462, 205.41954079217737, 205.97915666760213, 207.23045566642264, 209.71894332846401, 210.51013565673293, 210.90834437102137, 211.28438031669799, 211.45870228682196, 211.69424980576883, 212.82259600154615, 213.13167241406271, 214.26413305854817, 214.89725470651837, 215.46505664474003, 216.22503631817003, 218.09278620121418, 220.12694644232946, 220.34103566603204, 220.86646022516913, 221.41557128344135, 222.74672976766331, 225.50661821166372, 225.97395639880992, 227.08751418197903, 227.21142512018679, 227.68506445717148, 228.45794891822902, 228.55354313608058, 229.08706890197209, 231.04966532308865, 231.52550759423272, 233.28743127716541, 233.65424402513671, 234.45270602104978, 235.16276644397681, 236.37854910426006, 237.469058350409, 237.83423031352731, 238.41022701517051, 238.61710873226028, 239.46786812519318, 239.96643052138626, 240.66297474116942, 240.89247047227897, 241.68728722748884, 241.83961949926626, 242.38619378564135, 243.09574117694441, 243.14957721790904, 243.99156834354307, 244.24038191461676, 244.51681973388469, 246.66567262019674, 247.06866700973919, 247.76588674595385, 248.6420789037868, 249.63737267852838, 249.66047460860321, 251.33519819100161, 252.46255077811125, 256.99524283537954, 258.58454974881028, 259.92458895771034, 260.91529276282535, 261.5053055001153, 262.20615036586219, 264.90224732435752, 265.43014329797245, 266.31760958850839, 266.45431767282236, 267.78029966708232, 268.69240555873625, 269.58584669932873, 272.36296862309274, 272.92080861043121, 273.67346152352445, 275.75736840750142, 275.94241944923823, 277.47445169521114, 279.67957325852518, 280.45465204305475, 281.59689709184244, 283.4030677843848, 285.05123308193112, 289.32827897130414, 289.83528631599944, 290.29751562163142, 290.75835626496894, 291.31366646231322, 291.62548225391049, 292.60485278777384, 292.90184470980148, 293.21461599755349, 293.53634901620092, 294.69446703863434, 295.7897478200851, 296.90242179470403, 298.3516883262642, 299.35634425969459, 301.69900231760784, 302.25859216689224, 304.40988396191932, 304.89857661930051, 306.54952131152379, 307.28719378552432, 307.43295706518131, 309.7791031135003, 310.01684030299367, 310.77538974928285, 311.04365097910693, 312.23003173521221, 312.47414466692197, 312.88719630283128, 314.29608399600278, 316.56935952143726, 319.82923103785419, 322.37960511499119, 326.17064697429112, 327.25724018952263, 329.48375820802613, 329.82468116811901, 329.94100807350679, 330.25843060700686, 331.27168762665497, 332.53054493435178, 333.35018135868603, 333.70784099271799, 334.08524261429676, 335.12804382133612, 335.41862799757263, 337.52069652481327, 337.77861120915014, 341.9676174306158, 342.02935504512715, 342.63273237266537, 342.76985978557116, 343.60713243467194, 345.29678851921273, 345.5206408499771, 345.57945990123017, 346.96681017190087, 347.15130211478254, 348.31167053149892, 348.36457805168129, 348.84798427958236, 349.64899851875572, 349.67166642091593, 354.49920210088271, 356.2347125678827, 357.78876873106947, 359.10756422458087, 359.74092281975334, 361.07910173578745, 362.19469984124891, 363.81732002516031, 365.13864922023936, 366.04889558137558, 366.11458691032237, 367.61502642230653, 367.75023072563903, 368.3761992105654, 368.4052697710132, 370.7863899516588, 370.84473960743952, 371.3697809357285, 375.32415709298652, 376.20111756001961, 376.91086676077066, 377.0702721861071, 377.0904795946617, 377.39683193376612, 378.3493252570093, 378.6586865240734, 378.8510581023707, 378.9083163185918, 379.9092166228516, 380.05519208282055, 380.18517289644711, 380.52555351452878, 380.77806425575261, 381.8547752008879, 382.8526653013663, 383.47486970014796, 386.07227505537804, 388.78799046709105, 388.89185197782984, 390.36567092345541, 390.44060283777554, 391.18342119033184, 391.73083249114245, 391.87530776134366, 393.85151688856047, 395.85682888897981, 396.6040620601741, 397.57396335652754, 397.66553223064977, 399.09554592697356, 400.57281750306561, 402.74334212244617, 403.25807120874828, 404.08359303116299, 404.34099418040904, 405.82122924863791, 407.91627226831349, 412.19247635450967, 413.21968449951601, 413.47331784348029, 413.87495008265518, 416.07582650001848, 416.72785872131425, 416.98380868024503, 420.89780656917736, 423.06011996848338, 423.09845188595943, 423.21611995543071, 423.79361587931021, 424.27173743834237, 424.32106262204059, 425.77162013800955, 427.91178845189273, 428.51739431535384, 428.69644850259647, 428.720184568506, 428.94840925091034, 429.39027476965111, 429.67106713835511, 429.71244997028867, 429.73450838942148, 430.17707768827626, 433.21693393440557, 434.51238774520579, 434.70589082292736, 435.3608314756969, 435.38210971423462, 435.72250392942749, 438.04413742534621, 438.26894232448524, 439.19952120781386, 439.47193636302836, 439.7340434476223, 440.67185899557455, 441.65188186235167, 443.4045905649408, 443.57405901932719, 444.34479455663359, 445.00008713611089, 447.37200975560762, 447.76836202028687, 449.29280199988483, 450.09932612640335, 450.62114098848843, 450.88570883171701, 451.18504310760983, 451.64879521724725, 451.93394634080954, 453.14230562662829, 454.00431611893555, 454.70674085235675, 454.89645990356087, 457.04053332418772, 457.53828557294065, 457.9929360343645, 459.39552336308003, 460.0402067144106, 461.25844305678675, 461.30113728509991, 463.61080856539712, 463.8828274112081, 465.32303679007083, 465.35942613322135, 465.73829420373119, 466.76904401773714, 466.89770028006291, 468.16073942887743, 468.9399202205928, 468.97730919638309, 473.51236526610791, 474.73495926237439, 475.62988703407422, 475.89987353695068, 476.15996973887928, 477.29283415997668, 478.40125837738481, 479.22528717419914, 480.69376512642793, 480.92754517327859, 483.12402602565004, 483.28739368822158, 483.65029408509099, 486.00106562761897, 486.52676674628185, 486.83325454569717, 486.96771896233253, 490.80289168238778, 491.22331588665253, 493.47101455176056, 494.39427313489034, 494.53429449289996, 495.82279654864425, 496.07108403466265, 499.17391972611023, 499.37990460643988, 500.84772840793192, 501.8407819880639, 502.9595107294457, 504.9667150930311, 505.37349389739683, 508.02619523754032, 508.61824832982239, 508.76342513037508, 509.49075379799763, 510.97287056652783, 511.17162735414496, 512.82638783343566, 513.09184781377644, 513.2907448059367, 514.03417227107127, 514.86511837025819, 515.0278439553382, 515.41488792300493, 517.53893188995539, 517.69227893823779, 518.52352725760909, 519.20473386626816, 519.77016286462094, 520.03077877946828, 520.61041809794972, 521.76303702559767, 521.79996837052295, 523.19686357950729, 525.67029187002674, 525.73949610968862, 527.49214253450782, 528.50558086883962, 529.29271445932432, 529.33916179548112, 530.39195333233033, 530.73020287346617, 530.75089314048421, 530.98226017252261, 531.82754806164587, 533.31172208727332, 534.85560270904159, 534.8864574993413, 535.18011394563052, 535.7237323450538, 536.18914365807836, 536.61289413310544, 536.90858399712465, 539.88959967639391, 540.19433798333478, 541.33928470930982, 542.47793436017389, 542.73324721170934, 546.50900781849066, 547.73350981865372, 548.26990648897299, 548.51187352633133, 548.95342439549722, 552.16404854086647, 552.22274854067598, 552.67217060807673, 556.00236943526329, 556.76789464475689, 558.89731807045212, 559.24222985287008, 559.39907543325808, 560.07532784868351, 561.21360449862289, 561.44264893227466, 562.02466644024639, 562.30785140632656, 562.81837186177108, 563.00796305376264, 563.17657256379312, 563.86711112865896, 564.68248545107349, 565.3601502445033, 566.32383777746804, 567.74741524051706, 567.97531682374097, 569.31477496714251, 570.9796174709262, 573.61488902546898, 576.19335474540924, 578.15670021623453, 578.53083772454568, 578.85984068952268, 580.08819837237115, 580.19698318546477, 581.15622481149592, 582.79708437999932, 587.1119453633612, 587.30058617916359, 588.23761456926013, 590.16521155990802, 590.3774381314322, 590.59139210623482, 593.13531296076451, 593.20319974482629, 593.57641930944624, 593.67727207673329, 595.36609967952586, 595.48860146527284, 595.91181323103103, 596.36615182123182, 596.81780560650577, 597.39894760862001, 599.12546261386512, 603.14506716040501, 605.18774205109742, 607.06273396302686, 608.29778480350626, 610.0146249038612, 610.54328720735577, 612.55534313156556, 614.29484174559173, 614.91443521539566, 615.05682012804618, 616.07159563442303, 616.21590409239695, 616.70051102150489, 617.03723378410848, 617.45510845920137, 617.85448777307761, 617.90432832967156, 618.6844266279694, 622.06095839236764, 622.96995990248661, 623.18949685035375, 624.51582318527176, 625.90285155710205, 626.20320651220618, 626.82621964948942, 628.32285467737756, 629.64739954323534, 631.6099299838686, 635.80088480365566, 635.98250889575547, 638.16220631492104, 639.76888492617525, 639.79153478267142, 641.80820756818264, 643.16034561572883, 644.15005645375504, 645.78539284362444, 646.07056975373087, 648.58508221926297, 648.85845655274738, 651.56513330946132, 652.45953812543871, 654.03601040044111, 655.14152415155399, 655.72227424189236, 655.84330651473681, 656.16066639835367, 656.2409872013551, 656.9431257999139, 658.05360483604318, 658.23839593024957, 661.485543131079, 661.95281939504207, 662.37724756281204, 664.36380721161595, 666.52733045950265, 666.63873777149581, 666.97294868860592, 669.23262529807891, 670.4226314782677, 670.51995412547899, 672.39608575113186, 672.67259608210998, 673.37393816574638, 674.45963431333462, 677.04060525608054, 677.20005865065457, 677.43039728682845, 677.63280705155864, 677.69021431658825, 678.8288362042224, 679.58127989386799, 679.99142333540055, 680.3682217219357, 680.73817713674737, 680.8990056532748, 681.06869145663666, 681.15365922367482, 681.3428193690969, 685.58363823672778, 687.43625802832059, 688.21479272028648, 689.74241767482329, 691.96252591494181, 692.07989749319609, 693.15773769875932, 693.27239459267719, 693.56429963266089, 693.71224668148864, 693.94076797965761, 695.02402167336459, 696.07877382695415, 696.77865911492438, 698.68762182300941, 700.0865752860916, 700.28593571854265, 702.25341954249745, 702.3545197297243, 703.3346095770936, 703.50941196393194, 707.7108677082914, 707.86021064708541, 708.31920891302559, 710.8035206905372, 711.21369650672011, 711.47662429277329, 712.0481279523799, 712.51346467918029, 713.02408160483901, 713.84671250695999, 717.65101822302404, 719.24100817516876, 719.88433629336475, 721.59457490006832, 722.60855685615991, 722.98126532105653, 725.37868177640939, 725.40744704221368, 726.09309815896677, 726.27670244791307, 728.01041127303176, 728.7240341394288, 730.55089717160536, 731.88900037717974, 732.18964572764503, 732.94571052089532, 734.31774728078926, 734.47975607946819, 735.03278612495228, 737.25991410121935, 738.90075906422578, 739.11917480727311, 739.50474291571356, 741.28839400465768, 743.73509254444389, 744.36696293366185, 745.16469168769299, 747.35470075385604, 750.93929702845014, 753.00314724184284, 753.31908549874595, 754.67531360726753, 756.36399196737, 756.7629650104617, 757.80867305062839, 758.82048441510574, 759.27884032734107, 760.40231493921954, 762.62054131496006, 764.08592844030136, 766.03269595232416, 767.62248843814132, 767.96423360229062, 769.45805788524035, 769.97256393040834, 771.03922083884549, 771.89623295471722, 774.86087828108634, 775.13576772092097, 778.65077434318505, 779.27490130962963, 779.6290350373456, 783.45226770285683, 784.64737265606777, 785.24112680139729, 785.69156275038256, 788.05248184608115, 788.75848531464862, 789.79110300590958, 792.1315674210972, 792.1598444076742, 793.77829811106312, 798.17347897007573, 798.82003513453742, 799.52991762071997, 802.11563514161833, 802.64025224429497, 803.90634495953987, 805.53963035417689, 805.7521518215093, 807.40711409640346, 807.8200717567471, 808.33359437291017, 809.28163755540277, 809.65143649770243, 810.26752599185113, 812.19763320189168, 812.46648568792511, 812.86500251793223, 813.72377631452002, 814.6551031624457, 815.49994730225001, 816.54708045527502, 818.5409440699209, 819.39999948633601, 821.56814914097504, 823.53455333173724, 823.87036714198257, 825.25125165720704, 827.06340830773752, 828.55035622075457, 828.96664542232611, 828.99188288461539, 829.2598427564061, 829.76271931419501, 830.54397268665059, 830.88168925737375, 831.15742354602276, 831.41028806069085, 831.64581862764987, 832.03319064372374, 832.30284002151677, 833.35160421968772, 833.45950921236249, 833.80351671887456, 834.30338080956119, 835.0779498984715, 836.69143547473197, 838.41599352449475, 839.48160420048737, 840.83098409561887, 841.94158487457503, 842.12455143563648, 843.05001524493628, 843.80706017595173, 844.33744344878392, 846.78962179708367, 846.85592011007168, 848.79818338980476, 849.68547238292126, 853.16867487583261, 853.37305463663904, 853.67135231656425, 854.08296703911674, 854.24016788371114, 856.25431502508161, 860.22911433784964, 860.68099451547482, 861.16961278174438, 861.81655799513283, 861.86286873377685, 863.17325020848682, 864.31616477654427, 865.93721067445483, 870.8078779194708, 872.09290629728059, 873.27297702295539, 873.95366328605178, 875.0542315291965, 875.79307065102887, 879.05560336763483, 879.20725770619083, 879.23249684876862, 879.73862239953507, 880.74618760626697, 881.27854679743621, 882.36833518933997, 882.52518790283, 884.28109636429178, 885.32621510350145, 887.29032693516911, 887.59737373283701, 888.79934524722466, 888.86724096478918, 893.27199026262861, 893.38639784860936, 894.00541242769373, 894.34206179357432, 894.42281589949471, 894.9829839147859, 895.44306010308014, 897.48819190172026, 897.75792091150981, 899.71499778210841, 900.14520643740707, 900.6493109701081, 901.08321783322299, 901.40656616980243, 902.01916909956219, 902.33049287547828, 902.80157041921098, 902.90180039801851, 902.93909144065844, 905.15757198258189, 907.1582235707258, 907.2528684817654, 911.15242957968076, 912.07131896653607, 912.59161208016747, 912.97329908562324, 913.09043684139021, 913.96209096858922, 917.85959399614865, 918.97372975156645, 919.32968196825266, 919.58237724936521, 919.76852744352539, 920.32531827762512, 923.13862097606136, 924.76223688825121, 925.20687148120555, 926.64078605552425, 926.95950359197104, 927.82497286713942, 928.81800192846549, 931.7199582894176, 932.59954815632545, 934.05930311329439, 935.12045534767458, 936.48497074833938, 937.12057939115937, 938.98754448597469, 941.44823693525552, 941.53543296838586, 942.7255558617835, 942.79217081348077, 942.9235325989174, 943.16681508401359, 943.51372939286341, 943.61897408285688, 943.90691192743816, 944.23823643572609, 947.44262654987529, 948.11386569639353, 948.86826628719803, 948.96798232947492, 949.66015236712758, 949.73881661969824, 950.29957094542328, 951.70295240547398, 952.62333724016378, 952.70086963658377, 953.2384880465936, 953.76429538447007, 953.86396109932616, 954.73751180601369, 955.68796058474004, 958.94144847384882, 959.13784824895345, 959.52608775354258, 960.98031688825608, 961.48874274824038, 962.05117591751696, 962.60617458093509, 963.9902475187647, 964.14161335564268, 970.12763815318942, 971.37271280468485, 972.37814226744877, 975.25224056208469, 976.2529590855778, 976.49714235666124, 976.67137626558645, 977.39521171281888, 980.46549906654002, 981.59572405885854, 983.59721878062874, 984.56532715738297, 985.16738907585409, 987.24243873547516, 987.65670686312171, 987.72207424647445, 988.55211705913564, 991.5446254900861, 992.13733433466541, 994.01905377629862, 994.51921763786936, 994.70491180334614, 996.95996172806963, 997.17236812919259, 997.48787609547435, 997.71440511468484, 997.75617051321933, 1000.6167035949973]),array([53.326079024095478, 54.575905583557699, 55.915741357139581, 56.52125807897977, 57.375177660859258, 57.706482646462952, 57.745519340404293, 61.024637943503329, 62.560845373423263, 64.490686005972151, 67.623084386662086, 68.648203878610389, 69.807477053138172, 70.129368621387073, 72.664098134186162, 74.381196944636415, 75.563094327346533, 78.005761542507713, 81.707324443996882, 82.1265786574386, 82.416209751511161, 83.919184114242086, 83.956657571088357, 84.923226487187193, 84.998850284710528, 85.939276099773792, 88.163782461335487, 88.799928500128047, 90.726968562473161, 90.951846085487219, 91.104843856791192, 91.263653617128028, 93.732559759093206, 95.241314139487002, 95.636974601658679, 97.242068546858903, 97.96880812716725, 98.727778635066855, 99.904347789474329, 102.83462589239508, 104.59842989867283, 104.66829782399286, 117.52372189195182, 117.5888266790748, 120.35932333099498, 122.23993535420416, 123.12150408838794, 123.31880245961028, 124.68479836081785, 125.61718675743391, 125.75577781091937, 127.9451338234166, 130.84558688171964, 131.16603261307208, 131.84498646307077, 132.14592353734676, 133.41241506508777, 133.78430231526238, 133.87083041515106, 134.15797817521488, 134.79937453785712, 135.05960565406843, 135.19642445653452, 135.47190065414372, 136.97390770375355, 137.31224273897334, 139.38656800751639, 141.7470059503957, 143.64912185019435, 144.96543829221051, 148.90583912633227, 149.2618020452436, 150.05338766962535, 151.32310170832409, 151.34991525931792, 152.19964900214399, 152.50928966916788, 152.55855384821089, 152.88836246807477, 153.27078395927046, 153.77555922751193, 153.91805434636802, 154.60486759185707, 154.84332487000918, 157.84275490664348, 158.58800308016754, 159.04104545078752, 160.19387020622705, 160.54276381311485, 164.4422610971053, 165.64650375691275, 166.2961718322257, 166.95368820666278, 167.10548862926598, 167.48326782968192, 168.14326134403126, 170.7126292821961, 173.05215364595503, 173.24589021035587, 174.74368784699178, 174.76624677614083, 174.95925259409879, 179.21457188812914, 179.70384915160383, 180.72808038506906, 180.9811885618482, 181.29913715444954, 181.39359911678613, 182.18101776209403, 182.83735733449177, 184.66767320487367, 185.80558046352931, 185.88763032828805, 186.6365399826791, 187.73032847680051, 189.86224159548541, 190.36914785861435, 191.65268037972632, 192.03259083573226, 192.61539948577152, 192.96735560290588, 193.15629844047612, 193.43113480329424, 194.3370936770927, 194.96940403120007, 195.90266548772851, 196.11071432053257, 198.41359347626533, 198.78500899020861, 201.23639120854753, 202.73662927767509, 202.78702721527273, 203.3435167589802, 203.37717554517559, 203.97679767453937, 206.75314196508063, 207.72036430383815, 208.63129039005531, 210.13993785121374, 210.65050579855583, 211.39620923656742, 211.91202485461909, 212.24969326800868, 212.92363981130697, 213.35184974282228, 213.37754082601649, 213.76355931015087, 214.67915164599899, 214.87268435269274, 215.31479446241116, 216.36229334530074, 218.5359918138281, 219.71817182917013, 220.37153588114344, 220.65431034483882, 223.82905066353982, 225.59067933678793, 228.7307520637458, 229.12107078273056, 229.97043883909265, 230.67216857147682, 231.128918697258, 231.24393574955027, 234.88324593794053, 236.27660050632841, 236.60671742963837, 236.65844999955218, 238.55791340290821, 238.79622096464476, 239.72582584998113, 240.17656541457853, 240.30998981641574, 243.51330652592316, 244.4647842267054, 245.02425389427657, 245.13616807950726, 245.43749534891333, 246.56231531103384, 247.5391831350972, 247.61385769035385, 248.86953303392045, 248.95477014274286, 250.31786790746071, 251.25968445662096, 252.245664350742, 253.37321487070525, 254.46467418930814, 255.2090677657612, 257.82902624626041, 257.91757276482411, 260.82280788318798, 261.27550860555164, 261.77871540349622, 263.32376397900242, 263.91752652410747, 264.59645547484882, 264.80118113041482, 268.50813871721681, 268.99727170040904, 269.31955550584831, 271.60143474243711, 271.92199489181758, 272.29268106399195, 272.46617357959275, 272.97734924061109, 273.58851068269837, 274.26737152813195, 274.76131015629664, 275.90885751160062, 277.72350384352632, 278.66383217109387, 278.88689578821061, 279.05520858012471, 279.4091543988938, 282.44960936533505, 284.07722841691395, 287.01668594900747, 287.61047763597759, 288.22612249248965, 288.67498576068448, 289.9703885884494, 290.47335146786548, 291.24330374381611, 292.10870441853905, 293.27093616868643, 293.29995579401054, 294.12486258302295, 294.84110754642302, 296.0214586872338, 296.72676400225345, 297.73877062276847, 299.1621689193471, 299.87069873269382, 301.22357517269904, 301.67900929157526, 302.2839564416538, 303.95363377588802, 304.11235670954557, 305.36672611360541, 308.98010463936532, 309.13689428749774, 310.45397665313669, 315.37784092262666, 316.18109162641497, 316.32183991650072, 316.67995373780821, 317.29164721652148, 318.87811308972977, 318.97599405268812, 320.45213364995504, 320.65362904214555, 322.80405654515801, 322.83041191027883, 322.89459274022545, 323.22128142862158, 323.61505075465789, 326.28434186184933, 329.19066643049638, 330.01929033028239, 331.73145801569763, 332.65403568038391, 333.11066942845866, 333.40329817389693, 333.48183199171109, 334.58357203405365, 335.8719483061011, 335.90580386836405, 336.41930061676749, 337.36616689721808, 337.83666607154368, 339.33032443345456, 339.37413078970343, 341.25906349941283, 342.75982027312602, 342.95533357395016, 344.0242242976845, 346.49176760660373, 347.37854580151321, 348.2232743179224, 348.60637124013851, 348.84212681790416, 349.1573087373493, 349.38909100993504, 349.97157355207969, 350.50872260752988, 351.36767775714628, 351.71828116408341, 351.95715154095672, 352.36110198766119, 352.70699619453791, 353.60458235921737, 353.90602336538456, 355.87025646034232, 357.25273093399989, 357.63775287455968, 359.45844250411881, 360.28733364336836, 361.91999032012683, 362.85461306715348, 364.18033244595495, 364.27465206029819, 365.54458470479148, 367.45789409634006, 368.66876691971351, 370.16349044077469, 370.59068651761453, 370.99049955417536, 371.30024933573958, 372.2189088462116, 373.63613381245335, 374.68675852510353, 374.70971360637901, 376.15809154164612, 378.58974838015513, 379.87399936917564, 380.392728942605, 381.04439526412426, 381.23654181575995, 381.8805630157683, 386.05759034450313, 387.50833742755265, 388.76889686310545, 391.15768104765232, 391.68257191440199, 392.46852627454422, 393.67508904322898, 393.71904103672688, 395.49620244875518, 395.756751825104, 398.1479195938324, 398.23274513769263, 398.51134243515128, 398.59210579983284, 399.09633528169201, 399.80253561410353, 400.35696940723057, 402.14070179768498, 403.24583007789391, 404.82019434070071, 405.15423540642308, 406.23563484575942, 406.78849707017849, 407.09075238565231, 407.24964492321669, 407.54982256106905, 408.21216118487837, 408.35150826894636, 408.613811172667, 408.76675298495542, 409.64640843642758, 409.85444744930095, 410.15733685876597, 410.36180871272023, 410.56123351326517, 410.83482648503178, 412.65867521899025, 420.7924553516882, 421.06893259354581, 421.99787919142341, 423.86449943830712, 424.48229539203459, 425.11085525182153, 425.46519501375434, 425.52744040160837, 427.53646924096103, 427.66276371529898, 428.7192326989026, 430.21913664819579, 430.3686447448801, 430.75684937588198, 430.81830855063453, 431.51792153622796, 435.01901018745457, 437.05027879952888, 438.92319950483409, 439.78251594635816, 442.58112312885186, 443.39425467712869, 450.32377201843809, 454.62716382612103, 455.5876254754113, 455.71666063222614, 456.34844794164866, 456.71207409172666, 457.23084345681798, 457.28928393431806, 457.35836579503774, 461.43445534698407, 462.92530439783587, 463.89592796271143, 465.13473704884916, 465.53035066731201, 467.6440566986235, 467.93040359860521, 469.25575740147076, 469.47372209623745, 470.07721873117185, 470.93279975619998, 471.10735863316398, 471.31714028226685, 471.69421427272272, 472.84132264673417, 473.41458268253308, 474.0432461963216, 477.83687994601348, 479.69406037678635, 480.09558312104969, 480.98310681649679, 481.33244218983475, 481.36324054254288, 481.83683623440697, 482.38129257554908, 483.32126564183147, 483.93445972985529, 485.5911694941426, 487.80950434813201, 488.28582848733026, 490.88939299228298, 493.17793320639345, 494.7741499814743, 494.81993073354965, 495.32804685049427, 495.69931980193758, 496.12916194728206, 496.15373772212502, 499.81250057506168, 500.48769203921523, 501.10913515236922, 503.37879878628934, 503.752345801861, 505.2873071682526, 507.05606219445355, 507.48215639479594, 508.65747111104093, 508.7360652191108, 510.75361235384759, 510.797723559068, 511.87492816494137, 512.62721863632373, 514.09409872019341, 515.68125614735266, 516.07605244282081, 517.93839242233344, 518.77078334103373, 519.46914748907568, 519.61497634067723, 521.12011577367866, 521.5062488069525, 522.35898025711822, 522.75793195478866, 522.7787956331357, 524.09664744661688, 525.2899434711353, 525.57700371464739, 527.78483889168831, 528.85339135847664, 530.24658121053267, 530.6414161571156, 532.5162500930785, 533.23769422265116, 534.10133346400244, 536.09749437257722, 536.34105565457321, 537.07312810951055, 537.56491358476251, 538.43819289787393, 538.51874783740413, 538.63829201075157, 538.80746008032884, 539.05972943340669, 541.29894530173965, 541.84442687209355, 543.07714760748013, 543.44448158050398, 544.9468719338837, 545.5835064571354, 546.14721200928716, 546.88558826283713, 547.0401434176614, 547.55484151189705, 549.19145192723431, 554.49593661405265, 555.71861441029534, 555.94991949056543, 556.65677904181268, 556.96864034620387, 557.29939715312696, 557.43594917999951, 557.80158807571479, 558.04883943905247, 560.05787696728521, 560.16093805117646, 561.31940816228666, 561.79011963002949, 564.04958601686644, 565.17678357637635, 569.5647587605946, 570.08396505255087, 570.18784024563035, 571.49229307942721, 576.14449176159133, 576.45354190977423, 576.72941162528093, 578.66610847690356, 579.93441421716273, 580.15318708876964, 582.10004632888592, 583.20293073578614, 583.39465702730581, 584.1060199936918, 584.75769624271379, 585.86109440162022, 586.43356754576143, 586.89468378582501, 587.13920515936809, 587.61862952982835, 588.54364149595108, 590.49062477129394, 591.26592532833968, 591.64164490465112, 592.42129173949536, 592.58678947885346, 593.06315304570921, 594.22357574929504, 594.72487732269428, 594.85588846712528, 595.54049947904798, 595.57822788695455, 596.56436515596295, 598.21877748792997, 600.14507781969473, 600.17221642440484, 603.14725110819984, 604.2870446077186, 604.78904754283928, 605.51750326147203, 608.1289084322915, 608.94398045994365, 614.37905446885793, 614.45383631864445, 614.48903773974314, 615.0389173911741, 616.02546631954772, 616.21637715090617, 617.10731795206516, 617.59245115477347, 617.64977926397898, 618.21941764645817, 622.43820361784879, 623.89183883836495, 624.80382199061228, 624.93387375612338, 626.67205629978582, 628.62496097793087, 629.50676219644049, 631.21413299020537, 631.3258787141516, 631.40766505050931, 631.52459468279892, 633.30148026309155, 633.9279678457043, 636.96757157329716, 637.85894310485139, 638.30345088180297, 638.83691777170338, 641.13987821391379, 642.9649229086333, 643.3152085225737, 644.78684303360535, 645.70159853538416, 647.66158381659193, 648.98153132168477, 649.11663202811724, 649.32990426848141, 650.32669436543085, 651.54303680813177, 652.09338525107751, 653.05104680151544, 653.78593790214472, 655.07191912496933, 656.25005998685049, 657.01804534642974, 658.0968336970858, 659.33866066119208, 659.47853938510957, 660.07799880996856, 663.59751969576826, 664.34418226725847, 664.72341508914269, 665.2358351948759, 665.55005435717123, 666.56814498428616, 666.95622525363115, 667.71081380213627, 668.28123765549674, 669.21915591592312, 670.02402856873221, 670.3412215930116, 670.42356724352317, 671.38264534687846, 673.62461019865907, 674.14746499807802, 674.26700924867009, 674.3361375121998, 674.40198631721626, 674.43949099426698, 675.61374543390082, 679.37401669450924, 680.54728297365557, 682.13369997017128, 683.19729495721867, 683.37812515207804, 684.71885123468235, 685.60553029182563, 685.9981935856772, 687.04423478863919, 687.11466076462784, 687.32023270620221, 688.14489010975944, 688.20882653645344, 688.48725760818547, 689.2151645205347, 689.90705840107921, 692.24434239510845, 693.3697178431587, 695.147485587338, 696.0712327598261, 696.78035744585304, 696.87169297352887, 699.79647337192694, 701.94421817232762, 705.15516789284379, 706.0326267697435, 706.74336887440711, 707.10395998899503, 707.30517468714947, 708.22889695414005, 710.15487647367331, 710.45383892800862, 710.58423906343808, 710.63382996487053, 711.05193454931793, 711.40521302167826, 711.43150729216586, 712.82048327196128, 713.28359463990068, 713.49529040242055, 713.69942756923172, 716.05807148713484, 717.42894899427688, 717.80105298102922, 717.93221367515002, 717.98876924652131, 718.17970382324063, 718.91411836172767, 719.2352687913974, 721.39655421930513, 722.66629892112439, 723.22317290638466, 724.06590090933867, 724.29496222970806, 724.64108617492798, 724.98926649582518, 726.08741890704187, 726.25193570298757, 727.35157706113148, 728.94007455978647, 729.74322952324349, 731.59572332522839, 732.32799431987257, 732.41614641083925, 734.22836441512243, 734.78407757427635, 735.36013618775075, 736.06339782856639, 738.11144106485392, 739.57540141735694, 741.84986537436339, 742.23449216318318, 742.87281140712309, 743.1897313875611, 743.44149997337479, 745.65670102228864, 746.25437322154619, 746.79755849646051, 747.75342484334533, 747.91386366804818, 747.99907907676698, 749.14993319094822, 751.28369209734853, 751.81737179084371, 753.17923904131692, 754.39699121271201, 755.88304859544701, 756.15834731281916, 759.1285692432532, 760.76626861538864, 761.29504470881693, 761.54154212249023, 762.00128717920722, 763.61876058161579, 764.51321489888869, 764.78505732778251, 764.90841174855746, 766.05332647815646, 767.57633878107822, 768.14789379037404, 768.45284548182303, 768.73137369615631, 770.36538601947484, 770.70574093767618, 771.37588330260439, 772.1121387663228, 772.3748556395974, 774.4336172232662, 776.32915309744976, 776.38520788464928, 777.00939782972398, 777.48819578600251, 777.67047633025925, 778.94710398064944, 778.97767764303615, 779.43016862889385, 779.80735727955664, 780.72810680752161, 782.34752139125214, 784.79792344164605, 791.04404135883669, 791.80328257677797, 791.85841065849274, 795.51087763397038, 796.21493284254643, 796.77904336447136, 796.83584722012938, 797.04653126030178, 801.4658986496953, 804.30772093710129, 808.23326239649793, 808.6078470018316, 809.6205939148366, 809.86360340740941, 811.4373904832886, 812.28845354023372, 812.78446734559657, 813.59549284757452, 813.71932452683632, 814.0511502880247, 814.11376707506872, 815.80867805242053, 816.27958089519791, 817.73045034816323, 818.75783347869628, 819.74592446458087, 820.75496103352862, 821.91227471763045, 822.49579759091648, 823.57542084762122, 824.10823183700143, 827.54639911831691, 828.92885281252325, 829.84962404472401, 829.90577162928776, 830.64516174301161, 830.97123697544691, 831.14049715270153, 832.15017292539449, 832.678785275167, 833.02923077198216, 833.13460434737328, 838.31010233599693, 838.71198659650042, 844.21272156418934, 844.86766986794203, 847.43698329384063, 847.75463698655426, 849.5236398493854, 850.79279939444575, 851.51483569198865, 851.86480581940691, 852.32291866442711, 853.78555268764035, 854.0940679297471, 854.91064609014177, 857.03490511695225, 857.4065834521125, 858.06510154444334, 859.7379188859303, 859.79786749431219, 860.29581915775725, 863.48499459688378, 864.27186008205115, 864.44167219256258, 865.82073874137529, 867.20892805709741, 867.57982291934798, 869.25590062572007, 870.87858181859303, 871.95283648120528, 873.89262606168586, 874.07307761399841, 874.82206753522246, 876.08008460981989, 880.10092024475171, 880.44643235309434, 881.34393146421223, 882.5045116665467, 883.88124636365364, 883.99667622439574, 884.51253326344545, 884.61764710536841, 884.93843697015416, 885.3549481076135, 885.56110503792206, 886.62362970010565, 886.98742182486842, 887.28725780610046, 889.06185780652197, 890.50495583411839, 890.54775891889437, 891.76461236587306, 893.81976003301099, 893.98272874404176, 895.58178685204996, 900.57825488551293, 901.73595045246248, 901.77558788869487, 903.89205874893753, 904.36754052707079, 904.43755654598283, 905.33657823905833, 906.00344115298788, 906.39480236386544, 907.3285276226685, 907.58624777634748, 907.63240085645066, 910.39209023919, 911.45461721259437, 912.58398510784855, 913.43121661150599, 913.61796214891456, 913.94703851484655, 914.73926535408543, 915.08084082630569, 916.16906751643705, 917.79099860647045, 920.44935078282992, 922.92660717178762, 924.2867805142904, 926.23679808587906, 929.77820887942642, 930.23144606236156, 935.61951137164635, 937.29214810320263, 937.48998393395584, 939.18964090935458, 940.61508941390582, 941.70218401558975, 941.80688766201308, 942.90425985970546, 944.06023272653238, 944.77315701406894, 946.28933000026552, 946.50275331748423, 947.03972699943733, 947.40918028614988, 948.20255286758697, 951.51131586974168, 952.00695880162573, 953.20148385789992, 954.73628817357519, 954.98084241390598, 955.3031318940557, 955.35579644460779, 957.09902974381646, 957.42867734345134, 960.38317884243941, 962.25806602751709, 962.52410281270977, 964.34717318635364, 967.30223344733758, 967.35560970641427, 970.46229747271047, 971.78866927978538, 972.52416759629102, 973.0041893590975, 974.32636590041523, 974.53010507844385, 974.98857511868687, 976.10723950964416, 976.35959466755003, 976.57210147902288, 978.75547844465871, 979.11000432601838, 979.4105541519948, 981.90211320800688, 982.04484624652491, 983.08077523786869, 983.40847000502481, 984.09255859001178, 987.5711788286676, 988.94021486802092, 989.50003011078422, 991.72940665067188, 992.17412506604023, 992.2788042230012, 992.89765085069996, 994.7502089893768, 995.44748560087157, 998.248272581381, 1000.277381307225]),array([77.703546593707813, 79.107045803911433, 82.127292109906932, 82.908760393292326, 83.311317880760441, 83.758525147562452, 84.40981728062313, 85.015110574437102, 85.348114637470673, 85.822098412264921, 86.744889035454491, 88.247421578941029, 91.286429336726059, 91.502694589705726, 93.402358312117201, 95.254085743999681, 99.417255170618418, 101.01859282772364, 101.18602835295306, 101.75241485541298, 102.17795809604637, 105.63901394054207, 105.92856320300154, 106.58727912255971, 107.28350382598505, 107.84041947140858, 107.9450976824712, 108.02103407394345, 109.56512638233231, 109.80789154808657, 112.69795851047145, 113.14085761246626, 113.26244263202854, 113.33734026371957, 114.05464832795657, 114.33114076281601, 114.40517860533375, 116.59544071959486, 119.96034421241491, 119.98166424978231, 121.97394178030103, 123.18986438491808, 123.30717290541492, 123.76182090433304, 124.08657754610901, 124.83446095395978, 125.87976379412694, 127.79380032556428, 132.49377943469298, 134.43190890440695, 134.68901177712402, 135.4164061068725, 136.56986804733228, 137.20559388366675, 138.59033037197619, 139.34940481400662, 140.2816352788372, 140.3609464504938, 141.06352760358143, 141.21861059692253, 141.27235372432514, 144.63364323541592, 146.91845869957268, 147.38641447722387, 149.79155880963239, 150.80847465018789, 151.03231405088556, 152.33200990246229, 153.8770009246681, 154.57881449852005, 154.72479264010002, 155.8183437294482, 155.99792700435862, 156.74554883694194, 156.93111482744791, 158.98316271936798, 159.63723674262332, 160.31093424136304, 162.81472269367987, 162.96020563453757, 163.02024504740794, 164.64238794033164, 164.94051717165294, 164.99835945018472, 165.27619896721754, 169.00277287751823, 169.23576452591305, 169.65653791441773, 170.7962428238591, 172.88418388487301, 172.93378345128602, 174.18036446249766, 174.43578092370726, 175.43073967563586, 179.33474598918119, 179.43992249111116, 179.57321788024365, 179.64024831456888, 181.03441440294506, 181.90979465016233, 183.28456032694206, 183.86514119715261, 184.87455903864043, 185.96799518426644, 185.98980910755944, 188.33408009693102, 189.62031540786219, 192.52493234452774, 193.15575991678486, 193.53205288586912, 193.83534051397734, 193.92978799094777, 194.02036621481969, 194.41586221018702, 194.73549736692681, 194.91797777090963, 197.21715902982186, 197.40396463227168, 197.60758936674259, 198.78267209139975, 198.96532800254701, 199.33579017715056, 200.60228379977471, 201.8152298835208, 202.7659864773301, 203.48130709987115, 203.72391742797336, 207.384375269922, 208.23773487058168, 208.30021115102772, 208.63905462228823, 208.84940117588431, 208.93392602405638, 209.64316849202712, 209.99991601071162, 210.44002612580462, 213.38412170085041, 213.84229128211581, 215.70405196983305, 215.92006919456648, 216.54844411162037, 216.83432418473669, 219.92342219297726, 220.37614717727647, 220.89083123909464, 221.07196160436786, 221.41633366256414, 221.64377864797879, 221.93241973181392, 222.81439800726031, 223.58105987331643, 225.85628784615719, 226.32669045163539, 226.88107707702275, 226.94133852586214, 227.30788609451727, 228.92836811420284, 229.35997751720066, 229.83006710047059, 230.92727606737503, 233.34990617346534, 233.44565953285607, 233.60430438967276, 237.38235148692132, 237.88490907523317, 238.57356619564268, 238.78786521070114, 239.00823704717271, 239.79262958125207, 243.60426393699188, 244.19714975582252, 244.92549109726096, 245.83200016537882, 245.94140944114525, 246.2164559711315, 247.95284429443495, 250.25189708768548, 250.61434954762217, 250.79823795847608, 251.54233579499208, 252.94524554879681, 254.67683099704706, 254.81333866967773, 254.89084631080559, 254.93654792987391, 256.01081034427682, 256.63914051430498, 257.33910809414243, 257.74785140805022, 257.83488525334838, 260.13737991642483, 261.74252713994474, 262.23558793093093, 262.34366957065538, 262.73058862463336, 262.82217064529897, 263.50654105730894, 264.14946519216227, 264.83623339870786, 267.59311608414941, 267.8185890973615, 268.15784273939863, 269.06933713755183, 270.05810635250276, 272.38472000925719, 273.41367758044771, 273.53257677608337, 273.95995853458629, 274.7391750661975, 275.22731742051809, 277.43158866257642, 277.76826091175906, 278.09329901474121, 278.32013833729008, 279.12354674314355, 282.92643161798998, 283.08029407003374, 283.29415217181639, 283.34652516757313, 283.42376157191256, 285.33616650344055, 285.44234335642602, 286.77606921364298, 287.11336913965687, 287.6773134110237, 289.91246304052925, 292.28813708098539, 293.13822282459216, 296.71133425260274, 298.53616564869702, 298.59131615737272, 299.61247424163736, 301.26508076440149, 302.24704096716982, 302.70616549787718, 302.86412521478928, 303.6966249333887, 305.79347781417732, 305.99183680372772, 306.67408653822173, 307.3169847716714, 307.9152105779234, 308.49678513971827, 309.57638524034348, 312.11926340836317, 313.38089331170107, 314.82960930327243, 315.48847997502838, 315.82927553745225, 316.95363573687541, 317.2068413377786, 317.30816760545054, 319.83819586498873, 321.72878451868542, 323.09510356460521, 323.42964265072698, 324.54732131038736, 325.7908013121783, 326.6920918903474, 327.93580762272069, 328.36432823601496, 328.46800191804954, 329.67631392494718, 331.16939862359681, 332.66552672984852, 332.87182937453855, 335.64323288224989, 336.00188040139955, 337.96367646986067, 338.00142592643181, 338.19734764005347, 338.81686711686888, 340.51041663394329, 340.53600868935678, 340.94215249717087, 343.1286783609342, 344.18039923271073, 344.36245747309255, 344.75734041846681, 346.41994943383776, 346.66647795745894, 347.98175627318244, 348.91943208204407, 349.31433161590883, 349.93985124053449, 350.86754730715774, 351.97229588147633, 355.40790397749691, 356.27980869085809, 356.48594750432932, 356.63047791156282, 357.14205122484248, 358.31705597586006, 358.423538432942, 358.74410738875844, 359.15350437729825, 359.30934228127211, 362.46143194874486, 364.19222319601124, 364.26643074727798, 364.80306738770554, 364.93086281302715, 367.14094006909045, 367.3394611241909, 367.97206225602395, 370.96241746945486, 371.26134930680303, 377.11004148401668, 377.24016568363413, 377.93622597039797, 378.11464878099798, 379.73781320846268, 380.18869475800341, 381.35293443125198, 383.84488143616454, 386.42599860621641, 386.50513766256279, 386.74856045980289, 386.88399082298605, 388.17188736112541, 389.29103121597018, 389.66687830005094, 390.71800997440391, 390.83026975612091, 391.77463617663989, 392.86697174529843, 393.83939168562944, 393.89147474948663, 394.71331306389891, 396.69948442229673, 399.10269703101687, 399.61117618104907, 400.40972360819103, 400.56975727760624, 400.77048042835827, 403.40415422700454, 403.56174735126939, 404.31248544721171, 404.83199340062879, 406.47235623290862, 407.41807441140156, 408.03675317028205, 408.12940078361351, 411.53384663612701, 411.58460732589811, 411.85924235313496, 414.06021233359962, 415.10347659245122, 415.79155009216936, 417.96914649789477, 419.59738049300256, 420.91931845972181, 421.01010902363555, 421.16422056062811, 421.49117236402714, 421.78286232165624, 422.06878454163456, 423.41003009112882, 424.43944290059414, 425.25036619698307, 426.12887413253776, 427.27057761486486, 427.69672179167668, 427.81276177439008, 428.46018597252919, 430.10638577023531, 430.17652307988197, 430.25404210352326, 430.5290515081391, 432.94433165726156, 433.26007752242566, 434.0027560099864, 435.98326709411691, 436.5590779449434, 436.9054997339083, 438.12331588959285, 438.90327547156528, 440.27693030813072, 440.64122288725923, 441.46100441525181, 444.60634211336452, 444.96865772947297, 445.95333036292448, 446.12487090612757, 446.82892855059026, 447.90558828156009, 447.96683193403692, 448.14486587733506, 452.59876337346719, 453.30469716606768, 455.80938365162217, 456.88592867595759, 460.27866779030296, 460.55239896604087, 461.53865777123292, 462.74725330253796, 464.89785744499693, 465.62199756911491, 467.54246596580208, 467.96642404008372, 468.23828292947582, 470.52308473431827, 473.75262593298004, 473.79058451403085, 474.17665134011338, 474.74659682222233, 477.87012760912779, 478.04700577555951, 480.25805437863818, 481.14657423716113, 481.53744916412927, 481.61574871059543, 481.75827210037363, 483.80167508177738, 484.40749562014207, 486.48276178521962, 488.25294767769032, 489.22009969339859, 490.86994648070385, 491.19638121364846, 492.1973836717313, 492.26706271184281, 494.59725256484495, 494.92747584824644, 495.08710450088017, 496.72917743463825, 497.10934884306278, 497.77938538697799, 497.92366157959367, 498.13745169879104, 499.45615752468979, 501.65455691129273, 501.88727021758694, 502.05320186502337, 502.2513489662054, 502.53151040691489, 502.70406096686435, 503.02226031855406, 504.00415696335835, 504.75363364854036, 505.9864925674143, 507.38053461197165, 508.65261494350131, 508.87406091008808, 509.11112086601327, 509.26634714949347, 510.00820757742895, 510.73712906977244, 511.26667664804353, 511.70335892898635, 512.61115368026049, 514.48734010753901, 518.59897192243648, 518.64788590531998, 519.29819044565738, 519.56350440498659, 520.6441242269467, 521.03567478429432, 521.91203241577364, 521.98217925158201, 522.53733318761977, 523.37995380974462, 523.74915374506099, 524.14117924802395, 524.59416705434762, 525.22288765449582, 526.33727014248132, 527.90057987934028, 528.1485522644715, 528.47030780834268, 529.11558306051256, 529.40458370672218, 529.98917493867748, 531.12921777236966, 531.3242251727138, 535.58345284265181, 536.0992705722299, 536.15729369908115, 537.15435715755609, 537.83799589974262, 538.24538722137129, 538.27136074381337, 539.16747219491356, 539.56237267391521, 540.4107765776306, 543.51955716098087, 544.72125192962642, 546.61887139770954, 546.9777762977933, 547.51933935241811, 548.88985805047355, 549.34040015261428, 550.9336721714526, 551.10376208552293, 551.13221654498727, 551.33765662929966, 551.48531889343428, 551.6181853124906, 555.76949314960837, 556.03008349209563, 556.34531449357189, 558.25153927193537, 559.92539161216212, 562.21066122571199, 562.92316138692365, 563.97546249513118, 566.23667197049724, 566.56902539598002, 567.34855075956614, 571.06062898249525, 574.20608240924912, 575.13382117306242, 576.19847876036681, 576.7874551010716, 577.52462595552345, 578.22221790284846, 578.94766110287094, 581.88093556350327, 581.96032283297382, 584.33180545247956, 585.63191962973428, 588.01804871328386, 588.0483957634757, 588.33161426884749, 588.49205518615088, 588.59708228742056, 588.86608366753956, 589.61725133783273, 590.54424759699555, 590.98253725485176, 592.76405365023993, 593.22100028563023, 594.44204654281918, 596.32717230252047, 597.00589305087703, 597.74373836366567, 598.87005253054065, 600.35167740771158, 601.11570880654483, 601.26591501152996, 602.12511211815206, 602.4751859720983, 603.18967308305616, 603.54373128351665, 603.78021115552372, 603.95303666225323, 604.52157070035537, 605.76138872151228, 605.88652315128036, 608.47450869867225, 608.77198196497307, 609.10438229340514, 611.94484675340027, 612.59419145658023, 615.32294920943286, 615.93199066628949, 616.07421564967149, 616.46313567252457, 618.70614688089847, 623.38596524756713, 624.31213550667542, 624.68666186056328, 625.84899187344843, 626.19958588035638, 626.28955516719293, 628.82265970317962, 629.31244129287938, 630.73637012189613, 631.58262667531221, 631.84252853037958, 631.99212184940234, 632.01548141151113, 632.39906086955261, 634.0889413598137, 634.21007361157126, 634.47934520423871, 634.97819260706524, 635.1337831034366, 637.70643630416419, 637.93427431253906, 637.98233301242942, 640.04770391060197, 641.41218689081552, 642.04262954691285, 642.54337162117315, 643.50696582140097, 644.57157917117536, 645.18070392833317, 647.56344760504544, 652.27329911958918, 652.80644491324256, 653.4356458294925, 653.89519040978689, 656.74587187497173, 657.06411403850291, 657.61822513945162, 657.99943937303976, 658.30011354528665, 659.77303961244661, 659.96735457879322, 660.15442349109344, 660.29112257445092, 661.43406971692264, 661.92405064463742, 662.16282157567673, 662.97426905633199, 664.66998746552747, 665.41399099089699, 666.31322886394094, 666.3882213935899, 666.85668007328479, 666.93781885452665, 668.38066858679508, 668.72391399387152, 670.34820351254837, 670.87450517608215, 671.04823451313791, 671.29993824540384, 672.43074748437959, 675.53723423724477, 675.55989647214324, 676.54488602222341, 677.46361938218695, 677.97354544662835, 678.45408304521209, 678.65516146658683, 680.37424589048999, 680.58352853324641, 681.04123559235131, 682.31438410375927, 683.18028688211109, 685.13940906516802, 687.20971298396751, 687.42481878224305, 687.9440306657649, 688.63483775781879, 690.22739201400464, 690.87586853710911, 690.96270538811905, 691.16301830886459, 691.23180994781808, 692.32313655645407, 696.00954758918851, 696.68199395257079, 696.74154535888715, 697.02239768341008, 698.36230886283499, 698.75157997380063, 699.24200827422226, 701.43447285946911, 701.46841715488404, 705.45121947912958, 707.89517400859972, 710.47388725580595, 711.01869476667287, 712.04608997871242, 712.51506878177111, 713.53247620845252, 714.58851646054654, 714.71855765334476, 719.83559773507102, 720.28708392921192, 720.40407496197781, 720.90573579707416, 721.11165007094769, 721.7873305309829, 722.98050858346483, 723.18165416799525, 723.67574777376342, 723.89198038910229, 724.96686153005442, 725.59202443896299, 727.32240492974131, 727.4534029889976, 727.80827878235095, 730.44404022288961, 730.68740069494379, 732.47774243659899, 737.13106882227669, 737.35373900534887, 737.85060164096899, 738.34170643009577, 738.68614192242478, 739.41661021214736, 739.9296035828894, 740.10166219631253, 740.32027460892539, 742.93867715293516, 743.20979372364354, 744.52054025316602, 745.048932805812, 745.56087873775994, 745.82360925961336, 746.45194109061151, 746.62448883111563, 748.52940468477516, 749.47722320086893, 750.05262773889649, 751.90923673448583, 753.82798283168256, 754.92701154713961, 754.94841312667143, 755.07540844829339, 755.66605334831422, 757.57741894661262, 757.61135527884016, 757.71464023520582, 758.78781357849243, 760.25186039210689, 761.33744078150846, 761.97835654576045, 763.24456237521554, 764.17968705592591, 764.60368681221405, 765.28507964949949, 765.71762104294487, 766.24240578157173, 766.34730111045451, 769.31373165612706, 770.28172084086657, 773.08183092112256, 775.41907760843526, 776.29864125221775, 777.11944167720753, 777.35668939301775, 777.86966291692056, 778.81874957670493, 779.95504246067242, 781.77552885821865, 783.27769340600059, 787.39122694384548, 789.58548048616706, 791.30410173014832, 791.46242854261379, 792.99422979170424, 793.77004938482946, 795.2956721486878, 795.98854146331485, 797.05376233476738, 798.21935804830343, 798.43836737842753, 798.52371894596581, 798.59000415890671, 798.70350160536975, 799.23211829788613, 800.46523491866867, 800.92225607761077, 804.05762196733281, 804.12173974640098, 806.36359151189981, 807.98820976212221, 808.55565706683547, 809.78144397704239, 811.29252135742263, 811.81283326004404, 812.64323197271779, 812.8975711784127, 813.94246094268624, 814.22306207363658, 814.35433870544364, 814.85049566523287, 815.11226030833711, 816.59931097579147, 816.69234974880794, 817.70669580482013, 818.55680993124645, 819.79316035727788, 822.85213164381844, 823.77927588080604, 825.79698040313997, 826.17523149649696, 826.67280795690067, 827.41005355029733, 827.58563410675038, 828.36505872091016, 828.67769542447877, 830.60803300763394, 830.72297839325597, 830.88708788723466, 832.66273914052124, 836.79181813927312, 836.89460390276759, 837.41919169224127, 837.46210050102263, 840.81550371179412, 841.2597691065755, 841.57456283947727, 841.91100356258596, 844.06155597055977, 845.07576268420519, 846.76416612689661, 848.82108991237601, 849.82620865990498, 850.33192696067397, 850.91997118491588, 851.34944256402912, 852.46763964428089, 854.03452358585434, 856.16575769994699, 856.72995065799557, 857.17957240828298, 858.5711218800576, 858.99974791167654, 859.08999863561098, 860.12115373390725, 860.20025154094787, 863.95167727876992, 864.87011272450377, 867.18815610342438, 867.2745983384699, 868.16539103132664, 869.98591626750181, 870.41328302077329, 870.92710428668829, 871.01285747583279, 871.34436336646206, 874.75408069983393, 875.68580078378864, 875.90221273713598, 876.12084983307113, 876.4145913168195, 878.18676451539932, 878.91735819078644, 879.79211036873232, 880.12620401337733, 880.31974448459039, 881.02169705113386, 881.98884778730121, 882.05321155996046, 887.39140139199492, 887.58399903363159, 887.90068367454523, 888.22696852858599, 889.54013644979955, 892.06970908222195, 892.59818548406008, 892.8317854182053, 893.97350738827311, 896.77153791120543, 897.11625558836806, 897.19466147935225, 897.72178045292685, 897.86154821645027, 898.62064691255057, 899.79237091328787, 899.84840542337611, 900.22272462276464, 900.49565808992281, 902.36881835720055, 904.74635050258121, 905.33498727168796, 905.44626590194412, 908.06000530252652, 908.40958002324135, 909.28157198912595, 910.90007273658546, 911.51955383847167, 911.56691323284156, 913.9182948101452, 914.178036053455, 914.35026038296928, 915.31645148082055, 916.82153911816863, 924.02641352201658, 924.91312090775659, 925.27411540809419, 926.48943327487609, 926.64445716994703, 928.36654422542199, 928.69329913551223, 932.52275145326803, 932.63715982170947, 933.66038778619895, 934.26217396798313, 935.53504203152522, 935.84289903663046, 936.68931226664961, 937.332543882256, 937.70530353571371, 937.8434251113008, 938.79097940107681, 939.42655980650386, 941.42411392514111, 942.14629758735464, 942.61906077835783, 943.91715244952775, 944.18557094463029, 944.35381325839671, 945.27332155494071, 946.77782018083144, 951.21603365082092, 952.64282312058242, 953.38727562909742, 953.59630646451069, 955.808029435408, 957.0709383304079, 957.82186591111633, 957.97589148558995, 961.2108885137319, 961.3395679008155, 961.5275934608344, 961.72496290736626, 961.97035122689817, 964.64232472522417, 964.77960519016244, 964.910361181506, 965.15189688558928, 966.48541167937071, 968.21105571933083, 969.05378967721435, 969.59269264065813, 969.642271624469, 971.91334812368257, 972.53671168798212, 972.71402254159, 973.15768658622915, 973.57078546009109, 974.08332312557741, 974.26244397403866, 974.65976976283434, 974.84177639096333, 976.01134336947996, 976.73798854984091, 980.14634879316213, 981.1965493310696, 981.58462417180397, 982.39025775046071, 983.28138383354269, 984.53032949256021, 984.76296248819119, 985.24121880351129, 990.47044889863923, 991.6263793495159, 992.33580881115313, 993.18790185411285, 993.69826027160082, 997.58567497719673, 997.60622065527798, 998.62163480719948, 1001.356131952117]),array([63.768504182332627, 63.844324556135227, 65.791828494249245, 67.531488361416649, 71.684983499720204, 72.704834997500825, 73.657623746246443, 74.653878568772171, 77.368805052236496, 78.413091427299747, 79.958375813687226, 80.99827503933092, 83.271717062397784, 84.183228031629952, 84.78633077816518, 85.231526627293121, 85.571105924985972, 87.901825272243883, 88.096807654584723, 88.327755303894776, 89.582570166594465, 90.213060509582732, 92.22611864631061, 93.252584854072566, 93.601265758260098, 94.313055665309676, 96.432533540932099, 96.61463788761472, 97.141319272010193, 97.555464938144624, 98.818778414062365, 99.668307780473796, 100.22300834432085, 101.61676928009945, 102.4136350968357, 105.65040709583235, 107.32962408595064, 108.28748506765282, 109.31584117597556, 109.99269749675716, 110.3676915111124, 110.56728917086373, 110.73724435378359, 111.19019236216404, 111.87862668632832, 112.07527898411104, 112.92130635158621, 114.05409116432058, 114.16424101691419, 114.95884508824588, 115.18129090483093, 115.26175767124255, 116.16944788865187, 116.39812073044395, 117.77389554353744, 118.3010694767634, 118.66282047435119, 118.93540441326989, 119.53244303515665, 121.01506062705029, 121.29323289400057, 123.51873989579018, 124.07838094779922, 126.11667728834264, 127.71201586313185, 129.00127263278344, 129.43473898814707, 129.50085142215369, 130.99927887242623, 131.51791733650944, 134.57992887404032, 135.43142078511147, 136.10834612608653, 136.17156014423693, 136.59150175955537, 137.20602164562226, 137.28870858674352, 138.02832643687654, 138.86851797264993, 139.39312482376928, 140.61375489354424, 140.77656942236118, 142.71088650941218, 143.11297722354357, 143.61633208714889, 143.84320816086631, 146.89931006516434, 148.07546323537173, 149.36398022964767, 151.0805976669333, 151.84216877655996, 154.11983607862021, 154.53869083946233, 156.86529135549898, 158.7094653251591, 159.08715744715383, 159.27531214927308, 159.67135315466834, 160.09379685179127, 160.35355400337238, 160.51025108088942, 160.72239158095564, 161.30181946676205, 161.46780474507935, 161.64519896151879, 161.71154303973793, 162.14634636278757, 162.33460206833891, 164.38524032274225, 165.22217850458344, 165.78430154833211, 165.86103242572037, 166.93852619940745, 167.19101227115348, 169.49308328012702, 170.0764746755174, 172.32190564809585, 172.6006577684696, 173.40326958667066, 173.62260976564093, 173.68963984444585, 174.65591027188248, 175.13115951120452, 175.30750063470248, 175.81698777011528, 175.8592968921206, 176.87005188608862, 177.66768393440327, 178.84586126397824, 179.24945335560983, 179.39831124347904, 179.66552552562732, 179.95524107728392, 181.59273098184534, 182.75010571729445, 183.74843337009528, 184.55241127136208, 184.87990345939002, 185.90945099279386, 185.99988654559755, 186.61397302603592, 187.25874030205119, 187.50021839282917, 188.75993820427161, 189.85682832420608, 190.10489968604875, 191.22183199862957, 191.29397162164818, 193.73267295694876, 194.63706672465702, 196.30164366807526, 199.07104347135845, 200.28613836335353, 201.58367396377409, 203.78598021276144, 204.09648919556514, 205.78895823552611, 208.41380825552562, 208.98772857984736, 209.01766671370532, 211.33772748630923, 212.64004862147956, 213.46683451193525, 216.89347093169835, 220.95226732522403, 221.94030089424049, 222.36811506887355, 223.31125875688568, 224.30044725504564, 224.3903343744114, 225.02595453387335, 229.07530491246982, 230.34559475399817, 230.82951200805991, 232.4111648995241, 233.31087127030148, 234.06237409952297, 234.40755195345236, 234.514109231383, 234.60662254627027, 236.49342404667959, 236.82044155458146, 237.00756471020946, 237.39740287002968, 237.61855139624083, 237.81123351101169, 238.70044880406007, 238.97871715782924, 239.67542897151955, 240.75869300339573, 240.99836584340585, 242.7975552576691, 243.57127209282248, 244.24979734267922, 245.17717820281311, 248.22263809559038, 249.13506425803953, 249.8476282468462, 252.14096952864469, 252.20787987019392, 253.38996099805948, 254.83082527424935, 257.30236129479732, 257.75593072957327, 257.78421039788191, 258.29847209115621, 260.54866408888273, 264.3986519488397, 265.45048007907752, 265.49664905158653, 265.63568638411095, 265.93097475983706, 267.29841822159716, 267.40088559586496, 267.44130727714514, 268.15699057275782, 269.8515267419134, 270.16212503366165, 270.37829742069169, 271.09844430276422, 271.27463626659005, 272.1518949621348, 277.79362204846717, 278.44662953142995, 279.3135067558967, 279.54968000111052, 281.07858392399305, 281.61661238208836, 283.42236758197396, 283.75076641748831, 284.71264513484175, 286.71223118472943, 286.84994465305823, 289.2036220441293, 295.10246376340086, 295.30439498924483, 296.09767189976384, 298.04026061153257, 299.2581485307212, 302.0891063383466, 303.58912877367038, 304.85351624409168, 305.61067862065192, 306.71072101852678, 307.85340132368577, 309.70478345934396, 312.94584362779028, 314.74688923295452, 315.14587881615648, 315.25152087993695, 315.6917354361081, 315.77799632921506, 316.36567305492491, 316.58739692019805, 317.97589778639502, 319.48438161537814, 320.13405632748862, 320.89330807698991, 322.05789197351078, 324.33658425280265, 325.48506533917015, 327.29122008078593, 329.18724912026664, 329.60733165733978, 330.67040298541218, 331.53756533343534, 332.54875787695636, 333.22504434445716, 333.57840320426152, 334.55250595368028, 335.33939514289648, 335.49571416579045, 336.36773082212466, 337.1574387665982, 343.89977788092637, 345.79947327522393, 346.07573662292299, 347.20001118220119, 348.05427350079185, 348.08842843486411, 349.27784720714243, 349.37599872740003, 350.40487493384603, 350.53876740438915, 351.25135619920655, 352.21279416364234, 354.24725479558413, 354.53156034147884, 355.91927071613725, 356.39816408501844, 357.23827316472881, 358.97120947842109, 359.47534208149193, 360.28998755637821, 360.55271074364748, 361.51770126934002, 363.54113428130597, 364.15415920307436, 366.0854337442268, 367.28442269101146, 368.20978018354811, 369.79340341739032, 370.01221489985699, 370.16748232085354, 370.395630245154, 371.72575479137311, 372.30524819812445, 372.80221477667374, 375.87697887166064, 376.32635183395473, 376.80703666457566, 376.91539284016761, 378.2072400654954, 379.50851070242061, 380.02950212409405, 380.98154399237518, 381.46934818504212, 382.22642160235239, 384.68246815795595, 386.24506122533484, 387.2130469240779, 387.31131709137134, 387.47693666460498, 387.51713810728222, 389.99049420027757, 397.35829240682165, 397.74267895722653, 400.57075125251254, 402.10001573961722, 402.71151692911099, 403.12768576732992, 403.26735798804248, 403.78628402347101, 404.46978830522852, 404.83078980042478, 406.66361451841402, 407.72992638666204, 408.70305733938392, 409.23516183205334, 409.42341470320338, 410.4363899384532, 411.88798676330526, 413.26913272364112, 413.98933105444598, 414.87063591912323, 414.9428559124915, 415.08240837961512, 416.66067204839874, 417.97040509422482, 419.50084659179839, 419.95394839744273, 420.0263023573001, 423.2979777736951, 425.08647539919485, 427.22026578305139, 430.49897251870419, 431.85226235129812, 433.58743396884898, 434.89831109270636, 435.1687712951736, 435.35198904091828, 435.43253545747967, 437.12787906756205, 438.03635860174876, 439.10655667709398, 439.19608620592862, 439.77402655418166, 440.19819182736808, 440.3775580889627, 441.49443698697303, 441.7826278517993, 442.67701610241301, 443.36260602454041, 443.53882056163826, 443.97930611892042, 444.90313095538852, 444.95611881722459, 446.36055928099529, 447.93186513829465, 448.49729555112782, 449.52497019429637, 449.70652399194478, 450.21353327899078, 450.24424166636703, 450.68261399866213, 452.87875700927361, 454.59018474792941, 455.39801481375412, 455.89388448600454, 456.21052311705995, 456.53597217318151, 459.13522114587749, 459.97046184993178, 461.08028438468637, 462.55442409834114, 462.95826767190567, 469.64144479272579, 472.24299214301595, 473.50962329030665, 475.86497933281407, 477.8353828701745, 481.72841936954404, 482.37040787674886, 482.72722133990607, 482.74761438107981, 482.80191438122523, 483.00831220875546, 483.35942261658408, 484.28420938813525, 484.52825873611346, 488.16352360995865, 488.69478900956733, 490.65526126142976, 490.7715380999511, 491.5851275625343, 491.76945316364669, 492.29282311646648, 495.42546019398156, 497.58604998779708, 497.6662492549238, 497.8994509757847, 498.29262364500352, 498.80380777293027, 500.05139253847307, 500.39270482954453, 500.65851064001117, 501.51802509854792, 503.80395908752593, 504.09133365798471, 505.06266847176403, 506.01173505753093, 506.41925417938506, 507.08820674741554, 507.11972829330387, 507.21069625801186, 507.33072538758961, 507.56824602716517, 509.5874130220439, 510.64299401675999, 511.08395173253399, 511.54145485179231, 511.69659024378586, 511.81777811058112, 515.4136676274685, 515.46922899799654, 516.03102543315731, 516.21762972427007, 516.29183622377991, 516.47250149845956, 516.91939601341369, 518.64927926304051, 519.461657339932, 519.86859119565759, 520.27739937677927, 520.53167277892965, 521.16308595036242, 522.13879251058677, 526.57700024527003, 527.18289087056417, 527.9025275843577, 530.91844891108519, 533.37133587877508, 537.76326432692451, 539.60317255408916, 539.69200328103091, 540.04000055173992, 540.96979535155208, 542.67728387705358, 544.8951385423245, 544.91899021856693, 545.14417630476385, 547.92165488674857, 548.65465624163926, 549.75529506846431, 551.15908343574176, 551.70824527512514, 552.01529917450694, 552.09900059774429, 552.57584882016431, 553.71709871702274, 554.88549323021164, 556.37742769254146, 556.89024977486201, 557.37026793236555, 558.83416589576257, 558.88411269673475, 559.29031334176489, 559.4364650065736, 559.70512708443584, 559.76415110031542, 559.85512332744861, 560.58173799475833, 561.80532953342015, 564.04321352258444, 564.11875236041044, 564.62634476383414, 566.18014431658457, 566.62715896324448, 566.98437293204108, 567.84387623593057, 567.89897887086397, 568.73648674471497, 568.88258764005968, 569.60406761410752, 570.58851184298453, 571.68790072514093, 572.26668960637551, 572.55022951731371, 572.98613634991045, 574.06319192500359, 575.58928666455006, 576.75699413007271, 577.58568222566475, 578.69790258525427, 578.85541883633073, 579.19376115047601, 579.64171643431496, 581.51340045291556, 582.15349912340889, 583.9346850686095, 585.14395593642712, 585.87209752995693, 586.65443938617818, 588.19803695512326, 590.31075929543329, 591.62957867000239, 591.99882792551091, 592.13099022213146, 592.38422176164238, 595.11230234751849, 595.97119136879553, 598.47903436560068, 600.46615209906736, 600.50550705329829, 600.92279884630148, 601.09751276493694, 601.65477226699772, 603.46957326399456, 607.97347252512441, 608.36503972993137, 608.5759472031184, 608.91544670853398, 609.18213858999434, 610.02632943740082, 610.52849390540121, 611.64102167601516, 611.72514869356587, 612.39460531142799, 612.90111718134881, 613.60530057768869, 613.74064126761948, 614.11879768943163, 614.67424654020397, 615.4090827098272, 617.15235069452615, 617.63240530311373, 618.55864611549259, 618.72825315447392, 619.44102015977444, 622.51011878465806, 622.76681157306803, 623.18394314878901, 624.79310028881969, 626.70586495478597, 627.46534077587023, 629.51289588655311, 630.59319400136599, 631.1042005842304, 631.43693064659294, 632.03813008575241, 632.85943070964913, 633.35991633139838, 634.83260109254979, 635.51976402595699, 635.57164715645672, 635.80005671872505, 635.86313031856662, 637.08993394886852, 637.24443283012147, 637.45103745767483, 637.92401146027191, 639.20962934783495, 640.33674987049505, 641.89297225568316, 642.14871534658573, 643.05166240371375, 645.18138350072525, 645.45452354483507, 645.52247691711977, 648.02242620860579, 648.34444635521584, 649.37552103983126, 651.19031217934469, 651.32555345350272, 652.34006162260698, 652.59631752906944, 653.02503809487814, 653.63721189907471, 653.89246976778884, 654.06691926487986, 654.26233688919979, 655.43057817348563, 655.79454364978358, 656.94342230121856, 659.08669148833349, 659.15446370894756, 659.35061489105863, 660.17402382967293, 661.24278275636925, 661.63819039676491, 662.21202644130142, 664.87322439824027, 665.43813138386247, 665.60064704499825, 665.83138552472474, 668.58777533427872, 668.84599440938507, 670.23765473556023, 670.50421447757117, 671.62535606099505, 672.72715643551828, 674.5923869376802, 675.01158491880233, 676.01417445794982, 677.14515821427096, 677.42170229769056, 677.57071748462909, 678.29747051512948, 679.0037999725306, 682.1597307374916, 682.38054275133709, 683.00130607830067, 683.05916462073537, 683.36302448218362, 684.64785239235096, 687.63727060407496, 688.0304432157975, 688.30444203209436, 688.86880073518148, 691.02071895307893, 692.59405849477002, 695.74518226851706, 696.68294426293437, 697.53847703950271, 699.8999464416728, 699.96992356438238, 700.72099773996797, 702.42351599871279, 708.40332644384375, 709.00580425392661, 709.16932846477448, 709.61836533714938, 710.86192152702961, 712.25685428448878, 713.66194423406728, 713.79075453824487, 714.25366540990001, 714.80528908143333, 715.49617237814925, 716.13664165628722, 716.32293709822034, 716.58137429024396, 717.05351030520035, 717.7752671773203, 718.33282493995057, 721.05625793861225, 721.30720718113719, 723.41411205797863, 723.71944458078769, 723.81787919393889, 724.9194073401635, 726.66868980356162, 727.03230091995135, 729.26344862661688, 729.74033829094503, 731.95336479108994, 732.23171921760445, 733.20808851449658, 733.943552247399, 734.1150448506861, 734.4029627951129, 734.8164865090813, 735.4728600710697, 736.1006530345918, 736.77341730398746, 737.44786897061283, 738.17708304067298, 739.30985435260175, 740.41441146607178, 742.30451554043555, 742.51226261626084, 743.23679966873351, 744.06061516989951, 746.71322033055083, 747.35200346488682, 747.45739227136858, 747.52679920595131, 748.5578471369065, 749.47402394736332, 751.24523490901584, 751.31296274009298, 753.54243749830937, 754.80736760985371, 755.64894213451441, 755.78800286878197, 756.86403129744747, 757.61873678456243, 758.69499716131679, 763.19648008116519, 763.41905936878084, 765.1276068420126, 766.14904330365368, 766.21389737810318, 767.23625691251675, 769.42171303082785, 770.18280243186655, 770.24150909913624, 771.05223297327586, 771.31654490786377, 771.707352883471, 772.61200737498132, 773.92785808049155, 775.19442717802099, 775.67875168828527, 777.84716963739436, 777.92868472115117, 778.89134713740111, 779.72384497754138, 780.70742730340839, 783.72717109320899, 783.93743121919044, 787.38507561322103, 788.33357033904099, 789.6161703883422, 790.18538578337893, 790.62596430951248, 792.20794706063793, 793.03067225307655, 793.08632967419294, 793.6226911449387, 794.20228136945934, 794.59435768005017, 795.08520405282002, 795.18826384167301, 795.8891645827232, 797.44645802015475, 799.05817238337102, 799.35034521962223, 800.0936367529257, 800.13996351331582, 803.21176653847908, 803.54659293304906, 804.5448872041909, 804.66951331101086, 805.8298297645581, 806.04470766852694, 807.00867732388974, 808.88707795151902, 809.56254478312314, 811.02855140741781, 811.34258702251771, 812.51855969784594, 814.68994429768156, 815.32382086139307, 815.91143593872005, 816.23296781548697, 816.47730224901011, 816.76760773428714, 816.86117676240895, 817.05664188625599, 821.3337295230541, 821.3554954687271, 823.3296584057706, 823.81398802062427, 824.20445824970739, 824.53352564938382, 824.64885778776534, 825.50982014461363, 826.61944048014027, 826.88811071626242, 827.39584080924931, 828.29226415936046, 829.54873885996233, 829.88761232135937, 832.6061075450117, 832.8626852672719, 832.88673083290973, 834.82426013228371, 836.73510829254678, 836.8005120564269, 838.54785665836073, 840.04588156976195, 840.5971382128713, 842.08047117445176, 843.63339152245396, 844.02785257206074, 846.22962289227598, 846.44642853438745, 847.71863014008193, 848.0028857639652, 850.66771595264584, 850.91879475850612, 851.65179397796749, 853.12103423592475, 854.11594083234468, 858.84737170928895, 859.37480978354915, 859.81523878258599, 861.05925994521158, 862.66410782078879, 863.17167147590692, 864.29951381373553, 864.88724316842411, 864.99440917016329, 869.58770698057947, 869.65896704896397, 869.91943805715289, 871.29173489553932, 872.03460078981425, 873.34660494305763, 873.47169835779721, 874.95932161202734, 878.09575601095457, 878.13508577249547, 879.97210959259098, 880.12941185829152, 880.80722695527027, 881.98463708413647, 883.50413736702058, 883.61126954121357, 883.75840386359846, 884.69180438563114, 886.48422919188613, 886.88192326321405, 887.49301142571892, 888.16303182124932, 890.51812731097414, 892.66790158327501, 892.85312375945489, 896.39658477189039, 896.67699038856256, 897.2325124611209, 900.50959892200012, 900.86783623413692, 901.27974379927628, 902.34478833813637, 902.67742082564894, 903.28816173777273, 903.91403920743323, 907.12558041172315, 911.82264438372476, 912.42111548154298, 913.03294998841614, 913.19233298779091, 916.82566817477471, 919.75723590136158, 919.93788465902901, 920.04537301940093, 924.42454225523022, 926.12326293671254, 926.15681912887032, 926.26815477724392, 926.35975003370049, 926.62515721123589, 927.66897878063196, 928.30586739683395, 929.65241942698628, 930.21371889342743, 938.97011797851724, 940.54821034448321, 940.83760906832219, 943.20474515805608, 945.27301420578294, 945.80109383650438, 945.99018921239792, 948.15511846534662, 948.35918890971914, 948.58708554057739, 949.61558234331369, 949.8255516489528, 950.55747404714373, 952.22185038081523, 952.28997578290841, 953.08267386636635, 955.45746586508415, 957.5765031694591, 964.41573481774844, 964.47585224907505, 964.94920859788169, 965.13217325804374, 965.53902577884662, 966.3898287990836, 966.82886528102154, 968.46491977861808, 968.79079509959649, 969.89728080381133, 971.4688331177282, 972.52018716530893, 972.63606603907874, 972.7469645395887, 974.50046162097021, 975.49761790473428, 976.4430808981574, 982.60070568063327, 982.89650633729002, 983.67600415017841, 984.25205398303308, 985.55069807100062, 987.17803609753605, 987.25859644351488, 987.64963143576324, 987.79991434003648, 988.00704164149852, 990.62475922341548, 993.25258169740459, 994.65917176091352, 994.76664587940354, 996.03652437726078, 997.26729469938562, 998.35728480264208, 998.81452164800555, 998.99975357082519, 999.21355493517297, 1000.9269238534104]),array([35.273509269028402, 35.656386948289537, 39.058203759021943, 39.741001363513931, 40.976263970042183, 41.163198953649236, 41.855427288757127, 42.987838724992358, 43.107230572292266, 44.570992982881009, 50.370929973454132, 51.480166768380968, 51.645239647550078, 52.961385490022465, 53.304873639133938, 54.009958505277439, 54.575413636789023, 54.620602609925051, 55.636969628124817, 57.4379319026472, 58.824873085076888, 59.098186387151735, 60.565852690932033, 60.968964593506414, 61.11211673995976, 61.890212249431109, 62.005754920822689, 63.711954809378163, 64.355280588628432, 65.677396290446467, 66.655163252908139, 73.544821233939473, 74.208228663822396, 74.280134247863245, 75.476985446096521, 76.498515659548985, 77.947990305147144, 78.604085271661347, 79.197922746005133, 82.200005310663215, 82.631010212230635, 85.973035098918075, 86.712528394105789, 87.303883707150263, 87.350992677916878, 87.594299681039672, 88.231842854083069, 88.285414347571702, 93.537133880454988, 93.820953044852786, 94.960804368259787, 95.341062543409208, 95.698998308959077, 96.190140067914257, 96.238854781938429, 96.781593340162843, 97.460807896927548, 99.304211836650026, 100.38853597337237, 100.79326248254748, 102.02586681026339, 105.09346721982507, 106.53136454097195, 106.73249106387674, 109.10879245185548, 110.31123633283941, 112.17021693938169, 115.91962698166867, 116.8106429779705, 117.35155553364453, 118.04364149137668, 120.03905776723654, 122.10485860024869, 122.16685549780128, 122.3674675365574, 122.57928095252645, 125.60292743471246, 126.00608675311338, 126.35093746858313, 127.71362784710381, 128.21467696279464, 128.40110676354922, 129.35072004064344, 129.48292002830112, 132.26224614295342, 133.829826996984, 134.12432708809291, 134.55856960636552, 135.48100346260824, 136.1222446123823, 136.86778626231845, 137.86927472119535, 139.12054844531585, 139.24683912286702, 139.30827945660263, 141.20642993330404, 141.67324155948361, 143.10461373264914, 144.45428113046071, 145.63793280245227, 147.21048352304118, 148.17663670926626, 149.31051019899749, 151.36454938644911, 151.56528239388794, 153.56649747786665, 154.6019519921241, 154.80986375942257, 155.53394262039478, 158.42025558913085, 159.54028539459111, 161.53194472381796, 163.21517797738937, 163.43332151991021, 163.80449092644332, 164.62375691641881, 165.06504209121724, 165.69224491594184, 166.55806987991451, 168.31893585468328, 170.63801187282539, 172.77672772945155, 172.9394275856198, 174.77849032666518, 175.70821721110298, 178.36670729310103, 178.93476026064684, 179.80844415304435, 180.48526366354429, 180.9814813143617, 181.87205486247146, 181.92588904606393, 182.9020489147004, 183.49238530222891, 184.17685977081049, 184.70754428805657, 185.18547743595352, 186.28172994331817, 186.40593081479727, 186.90927789275287, 187.4033741896971, 187.75804698472231, 187.91410442047075, 189.30024917192208, 189.41023441749383, 192.95243442535349, 193.16997160898069, 193.79728141052462, 194.24576558006999, 195.45147727015114, 195.98460963342941, 198.85751221709032, 200.03335528973, 201.07256225663738, 202.75126001104704, 202.93729521004732, 208.22472398433277, 210.62551262603247, 211.05062984361018, 212.47110585004543, 213.67245006677049, 214.35104819152974, 216.8407442958318, 217.71982821089429, 218.72268331171651, 218.89810498126133, 219.83390392087384, 221.4080296181518, 222.33910942456896, 222.92956156401843, 226.38013466622616, 227.6547414628952, 228.28297007791031, 229.08462098403277, 229.40020004042947, 229.6827798687172, 229.9324083646687, 231.14022350801031, 233.99480748277796, 234.44223645828308, 234.49084839797339, 234.54986996551099, 235.70077020406816, 235.74150814486916, 235.76824884532502, 236.29296617127298, 237.65334465437539, 238.40906971702944, 239.26396485105599, 241.30847857247079, 241.70945422210289, 242.6223602354093, 243.17964478132248, 243.69837852213709, 244.12337586878908, 245.75215101068042, 246.42150368570199, 246.50643428086173, 248.39519742137864, 248.98661559750892, 249.54301137234069, 250.15967683130569, 250.42980751819891, 251.76416594476873, 253.64743862696784, 253.76663528868582, 255.12283095665978, 255.32514185622668, 257.76309625616921, 259.88755649937826, 260.3481739723116, 260.77314616069526, 261.82604577290385, 262.37947200461662, 262.47000242022375, 264.70541287085081, 265.45146973290099, 265.56199925781783, 268.40840486030197, 268.42948792602868, 268.75701696633075, 270.07384708758912, 270.15940611516424, 271.59679059038007, 271.71500058579113, 272.42698711217645, 275.25379974513567, 275.66461250228116, 276.38574062979382, 277.56061125366989, 278.22401393018839, 278.47452777626603, 279.37678922142021, 279.46962588546529, 281.11185343326247, 281.13597522635229, 281.69778331906645, 283.22290004713113, 283.4275095036088, 283.77542741999991, 287.50966746588279, 288.17460141015084, 289.09146684973354, 289.2876866450012, 290.17821121720243, 290.37463127162636, 290.42760711433561, 290.74779567399145, 291.50011718559074, 292.03417244160511, 292.47540996189275, 292.70765414777009, 293.41218038455389, 293.51745920303944, 294.81345532244978, 295.05799230902619, 297.17295742834091, 297.3869006159087, 297.92466203217049, 298.99381468241933, 299.94781112053596, 300.47280467599501, 300.87698006525824, 301.70123434499459, 302.31569444523427, 302.66242263618921, 303.15438180646083, 303.46922244109675, 304.2136812982244, 304.77919915861554, 306.69528715846059, 307.03328705275987, 310.71952806365334, 311.51604979014638, 312.11041818728512, 312.14563672159431, 312.40349028001287, 313.69587877759972, 315.41172966407316, 316.12613481194546, 316.77273810239222, 316.92415820337453, 317.42801022648905, 318.82533265863236, 320.54484398014137, 321.60118229636271, 321.9677910595907, 322.54613353153087, 323.4089456213573, 324.15585488771569, 324.5309267600843, 327.41724468320854, 328.64897207417437, 328.86443736607856, 330.14211335125981, 331.66819743898901, 332.57347618857102, 332.70635384859099, 333.93373101386425, 334.27551288378186, 334.56936895494243, 335.67151214768222, 337.84733485032848, 339.01963896325765, 339.21251629570236, 339.92480088076331, 340.09109923659111, 341.39922342590893, 341.56293322136787, 343.81674961443099, 344.97999482197122, 345.14319800193408, 346.10402480430827, 346.68377231327065, 348.03301149021786, 348.20370053730994, 349.51580589538491, 350.43117227170245, 351.66800465890225, 352.02924610509041, 352.54684236410054, 353.88582061940576, 354.23347543312116, 356.13320359477336, 358.87942199881553, 359.12686446791321, 359.85805602693466, 361.75895176917982, 362.44809147337747, 363.05676529787252, 363.63193934140565, 363.92213835046078, 366.70157441941046, 367.08741368342612, 367.28550409325612, 367.94936894661015, 368.25532967460526, 370.95623476713558, 372.90157292080193, 373.35079843390412, 373.90193675101392, 374.51862610263737, 376.94590522037572, 378.352777392262, 378.78633109834175, 379.78177150902229, 380.19241012630658, 380.45688265673334, 381.04288689737581, 382.65840200622119, 385.51194850927232, 385.84975126089728, 386.74119160245601, 386.76567920063172, 387.11250036796861, 387.36410505523861, 389.94820230869647, 391.02620633197483, 391.1709783088877, 391.34606713108582, 391.83158856846364, 392.18211453839558, 392.61337127814659, 393.65931624954789, 396.15814393674611, 398.87727090654965, 399.52984058049395, 400.14043868732017, 403.06715599410302, 403.64119013536208, 404.07127251599672, 404.47569945504881, 405.46608690131654, 405.93919483514327, 406.60198355372393, 406.67547117310551, 406.91665837757802, 407.907476983979, 408.4014349372892, 408.89668058320916, 409.96009030485607, 410.25344607828833, 412.19610182332809, 412.35238374574539, 412.92864546991177, 413.48853893662726, 414.81569037915773, 415.45207968168705, 415.52965338175312, 416.00796726489102, 416.95136175550317, 417.07429793794932, 419.56687887983577, 419.82677724470017, 421.38562709776409, 422.16157996474385, 423.36688150961368, 423.78909473563067, 424.45846425056652, 424.48701165686765, 424.52397612222632, 424.58907311524774, 424.93018443451047, 425.11409785801277, 427.76204803800442, 428.40707197946557, 428.59497526885309, 429.03429174815142, 430.60615201947536, 433.16474417623471, 433.43500241782903, 434.1143180142675, 435.91451999861044, 437.60465008326349, 437.84883729912929, 439.22493430388641, 439.78588419973443, 441.63324934887328, 441.86270606354014, 442.28681877552077, 444.56629110273047, 444.6969873942171, 445.11693544045232, 445.69886443133629, 446.40367092824414, 448.29629382444136, 448.85702091457381, 452.60132791317773, 452.86134867901336, 453.15184260638483, 454.41209013273283, 457.6360440313864, 457.89243351530382, 458.61848071463072, 459.03546731360319, 460.40537790908047, 461.98985316718642, 463.30262393587628, 463.40755062130501, 464.07454307421699, 465.2608683845707, 465.69682318761767, 466.34607771866013, 467.88956325313649, 469.02653834150993, 471.81960422434713, 473.94765346788887, 475.1049816645816, 475.67625134099882, 477.02903059772575, 477.59815997182363, 478.11508053323172, 478.19982038642894, 479.15136131142458, 479.3980209432159, 480.81417287098577, 481.49556442715664, 481.73648926350711, 482.96077702934485, 483.70233871444321, 483.88679878000033, 485.25171293127664, 486.14984194869362, 486.75810680770599, 487.46258088936133, 488.5637100054289, 488.77576161995626, 488.8532900293992, 492.29261566309958, 493.09783112351658, 493.23533362984523, 494.24896043768416, 498.75096801642638, 498.92223449432208, 499.0352518693154, 499.16704964622767, 499.68739409218443, 502.11120807869969, 502.41600487713703, 504.78832138639331, 504.90787061496803, 506.10198296672189, 508.57202547662422, 510.83602368507911, 511.93907314533067, 513.52457189098061, 513.93363379503933, 515.14937318657485, 515.44894422685513, 515.62303364191951, 515.76519591525323, 516.06958339264918, 516.12498297547313, 517.34436659451262, 519.44262491430902, 520.09136935381559, 520.25751407578491, 522.60165667789113, 522.80060803609103, 527.69466899581516, 529.01213934104965, 529.25292043045079, 529.43326102714343, 531.30105445061645, 531.57105979301855, 532.28400874219278, 533.85191534168598, 534.6506406146035, 535.99374435316292, 536.39431224517659, 537.66768945608612, 539.23696727683057, 539.30187950963932, 541.70311754086447, 542.23688263555687, 542.28010561351971, 544.35574832152645, 544.40562220158859, 544.61951701696796, 546.39611920744778, 548.31428312980006, 549.61548832015433, 551.07929095342797, 551.24519403309318, 551.69500243785899, 552.52117926080393, 553.55023056817879, 554.3658057676804, 554.51576268129986, 554.98547076489376, 555.68699064340422, 556.0045851669214, 556.71096789536136, 557.07259096143059, 557.57442420369671, 559.87018384824921, 560.75799011381696, 566.78331971463467, 567.92491148407055, 569.08798701965509, 569.61141154332358, 570.19713757807358, 571.75478032176602, 572.15074105172778, 572.53097266617215, 575.55210796572123, 576.98730051137193, 577.66365769638207, 578.44257873084564, 578.85325042867464, 579.67152168991311, 580.23820085715306, 580.87378820440529, 581.09678433582474, 581.23860419871835, 581.3018781855659, 581.87887424784708, 581.92790342600847, 582.87663499178734, 583.78652632264993, 587.5198132245863, 587.73847484643386, 588.59680615501861, 592.70520820646948, 595.39551713179537, 596.09228005717273, 596.24333331707021, 597.78870974306653, 599.05092060295908, 604.65661830604733, 605.553863040122, 608.22267023765346, 609.75094579713277, 610.80703974369123, 612.06655048628852, 613.58388381376972, 614.61850941817409, 616.69077537037265, 617.23262169266593, 617.52147973587284, 618.55172040298135, 620.78187794034363, 622.66157204791443, 623.52224845715341, 623.71880354877055, 624.17372030174715, 624.71275648618621, 625.22511543992175, 625.25191698896401, 625.88562696640611, 626.04403598781096, 626.4172669604061, 627.14833658627174, 627.38268061262806, 628.30242846857175, 630.83482983988927, 630.87452377846148, 631.74582603728754, 632.73426731482698, 632.86643976749053, 633.30002298100908, 634.9306705441785, 635.23303350986907, 636.04975077929419, 637.27532728296467, 637.68552654642576, 637.83835348977664, 638.63253353373852, 639.63652079363567, 642.35863557089579, 642.73987410737698, 642.8643225345437, 644.49463583025863, 645.23699627189944, 646.39489862846608, 647.11856851113407, 648.62441264508527, 649.23518803436627, 649.47366243219619, 650.10162178481369, 652.73614908691206, 654.98675603483844, 655.17346630554005, 656.1610681712865, 657.14025102812468, 657.64623422006559, 658.2778590379985, 658.64051086662585, 659.30086381351066, 659.60619978708371, 659.69212447187749, 663.48672080024016, 664.35544511646196, 664.78093257491048, 665.44985333328179, 666.12440582999886, 669.00148802549734, 669.50172293097376, 669.62728875568291, 669.66235112736183, 669.72392762671109, 670.23041504304456, 674.28403623165411, 674.9095319083093, 676.27919342034988, 676.68393840038732, 678.24498374456255, 678.73323975590745, 680.24768796252602, 680.29504659320082, 681.4846397015815, 682.56374987289507, 682.98982175571405, 683.45717444719048, 684.47718300192912, 684.65528883493039, 684.88640082594145, 685.44772369710665, 686.58307268075168, 687.40168701223001, 688.55095060256872, 688.66291441676935, 689.18342139502545, 689.38712249725086, 693.20556326875158, 694.32152947452539, 697.54287186618274, 698.2495425325161, 699.24953629589947, 701.65986820567855, 701.90627926718184, 702.98721651186668, 703.92892156216828, 705.26118332728981, 705.50047036318767, 707.72080782328408, 709.72803170481211, 709.75584653757994, 710.29402797041541, 710.67839449698033, 711.74340111266497, 713.29792582057189, 715.36634601668436, 715.90250306750704, 715.93873675592135, 716.75304493351416, 718.82243651449062, 720.65952560877508, 723.30800443284375, 723.61701110958165, 724.40238390101365, 726.11424654876487, 726.20332719071826, 726.439622777046, 727.05316959008132, 728.05570456809062, 728.45047814830684, 731.46066487299731, 732.18667540344461, 732.62126193362064, 732.78690533277711, 733.12739157972112, 734.25323237455723, 736.63533144622568, 737.03679129228135, 739.20578685484452, 739.68588487883153, 740.19882336188789, 740.40428780117691, 741.0958425150144, 742.1507016298375, 744.07604430256254, 746.49232916879032, 747.40948442409638, 748.81791099207612, 750.73638333150097, 751.81846075605756, 752.48893383420796, 754.41451939344643, 755.54541723502803, 757.32805019001933, 757.49241445122505, 757.85156512491346, 758.74750622309875, 759.25150733161695, 760.15158585769541, 760.71192447054489, 762.03823152997552, 764.21393343528723, 765.80324563425586, 766.46808036357834, 766.63045223083702, 770.25793366257528, 770.87750673817618, 771.1418421081529, 772.27111472146021, 774.00557377258144, 774.81775262544147, 775.97575304204054, 777.07538730645649, 777.76958256335502, 780.06563781457123, 780.9732930894138, 782.1447652161786, 782.6631093628182, 784.56274728690971, 785.11361617270052, 785.38583549453995, 785.75588773961726, 786.91810738346089, 787.15046249289924, 789.62713420391401, 789.93000860111283, 790.37327723895794, 791.02325930098641, 791.17837522762966, 791.203526818608, 791.9462547093799, 792.38010799556491, 793.7808950173079, 796.10359287975939, 797.7242726413341, 797.82413298999097, 798.94812939809299, 800.3749556876453, 801.00231628321535, 801.24208165596792, 802.31690828297621, 803.07411416381763, 803.12242710136172, 803.80175149697789, 804.00981597322675, 804.51077073247961, 806.30635849358157, 806.88248888319617, 808.4907103557365, 809.16485530747241, 809.64102278833207, 810.05550298162268, 814.64741886352783, 814.94170826823222, 815.32407840756071, 815.8661404336475, 817.84215786096684, 818.2705537523932, 818.60270878844858, 820.90077409350477, 821.27966839008968, 822.84964113468141, 823.36790148979708, 823.88745498908952, 825.03338397134053, 826.07001637385054, 826.90765208702817, 827.16833750805699, 827.51032039629774, 827.96563721743848, 831.42169498226997, 832.1487008638336, 832.55435624860229, 833.79175132898217, 834.68935389345904, 835.53996072501536, 837.50949237371753, 840.67449912353061, 842.18093872519501, 842.29208557337915, 842.75669213266224, 843.3906706450889, 844.45575266233118, 844.86818097973435, 846.15765391845252, 846.88805542761463, 848.38844632112432, 849.99040574515573, 852.93313989363753, 853.28986472923054, 854.59321655746703, 855.94189509103148, 857.29923231682267, 857.6620872937707, 860.11634487811932, 860.2028151672489, 861.10319194831345, 861.17866597770296, 861.92285640023147, 861.97314236139346, 862.40798914334459, 862.93109196800935, 863.29051636764189, 863.66157553562653, 869.37366130035275, 869.94208726107092, 871.18981671326787, 872.15197540830138, 873.69833107637851, 875.9649273609391, 877.41501400325876, 877.88226518840656, 877.93843525582031, 878.72393015803868, 880.4481494269188, 881.50572677303455, 881.65752630679879, 882.29228140769942, 882.50758206677779, 883.22608623166104, 883.32033447147626, 884.9014517437306, 886.17278210464201, 886.68752544036249, 887.93959913818026, 889.14578120939871, 890.87515799746473, 891.73425426272615, 893.05444454086683, 894.28746716096907, 897.76782448324911, 898.83842633229676, 900.12699977367652, 900.35058013355342, 904.2453819859187, 905.07279787772279, 905.5612298861455, 907.06207140595473, 907.21429271701743, 907.34234072638094, 909.08035922961267, 909.5857763190138, 913.19673305259971, 913.74923389302637, 915.03445026632676, 915.13231443695076, 917.00215334968436, 917.47718532779504, 918.13475636250269, 919.03533260593395, 922.51888597688026, 923.30620681216692, 923.44148557594156, 923.66776261897212, 923.71037230089519, 924.59476839898002, 924.77868571506895, 925.21192173037412, 925.26834496678543, 925.6408503736028, 926.21718464256855, 928.5260267432493, 928.64303389727331, 928.67976131308808, 930.15108360050363, 930.68737466165692, 930.77604018899933, 930.80359039353959, 931.05840978115521, 931.80202109391325, 933.3156575137582, 933.4046902002774, 934.62652916656566, 934.78539734280685, 937.23543595950275, 939.1341302403473, 939.69918003356304, 941.20391932429254, 941.36973642350347, 941.79949350353127, 941.89705371307707, 942.76532360612805, 944.27734334939771, 944.40432013678731, 946.38366233889053, 946.67167615420635, 947.26126990129785, 947.78145287887901, 948.17976546605598, 949.02015404547296, 949.66215008664346, 949.9658623197414, 950.26939229842935, 951.64276107172088, 951.77918814996383, 953.50464827490634, 958.05588535049128, 958.59547995210482, 961.43601312775832, 961.67059161625775, 963.34778847287976, 963.91151161747985, 964.84356810270629, 965.51490870288569, 968.2711706478924, 968.50817619903103, 968.65945470578401, 968.84960420348659, 968.94295015018179, 970.36037952997481, 970.99037638535594, 971.66471529286241, 972.79147803664489, 972.99707269477187, 973.12035906448591, 973.34051349015692, 973.66879980448778, 973.91104281546495, 974.41904163410288, 975.67421843938507, 976.13666437489701, 977.22830496579184, 981.24007524169645, 982.12680555930194, 982.55783108007608, 985.33531833453321, 985.50106644738833, 985.74565403951124, 986.8656541213137, 987.09750900798292, 987.88210276442828, 988.54027219508168, 988.8173340373919, 989.1420608427228, 989.39499499240856, 990.62802789209536, 992.43089333838691, 993.36990388199456, 993.49390752451859, 994.17140576583415, 996.15795951078087, 996.38430364377098, 997.4763848854443, 997.5494885861491, 998.87488929791118, 999.2093167636973, 999.32383500761648, 1000.6191640554271]),array([97.981244959022206, 98.294690506552186, 102.92862709315065, 103.31607853485045, 105.91639969645547, 105.95062054506452, 107.69297862794971, 108.17806861977768, 110.00424251368653, 111.33365473350047, 111.60464664510323, 111.86853514940182, 112.97701767719131, 116.36645828279951, 116.40430629327071, 116.92240922478381, 116.94790266436807, 119.36170688030163, 121.54958419715226, 121.94316969857812, 122.15648279056775, 122.9932098408111, 123.35489264978956, 123.68466800729654, 124.94720502484741, 125.13650241687455, 126.1504560374204, 127.38569680602581, 128.00140993303472, 128.75870829483807, 130.67852312044013, 130.92294560145859, 134.68184963827116, 136.1078300050458, 136.20326898048111, 137.6183242334296, 137.79896237701178, 140.22931731045063, 142.31038727943786, 144.54882645992902, 145.38640497770032, 145.41620914251448, 147.2074944978356, 149.34577799079267, 149.78866599944615, 151.45293447157752, 152.64184497733083, 153.24627678944731, 154.83718723028392, 155.76922774955145, 156.43922433514425, 157.64940811279172, 158.4200266540706, 161.18461645239142, 161.20645826837892, 161.79153406328302, 161.89342331082551, 162.4291293698206, 163.14136928043965, 167.56664171554621, 169.43481216391768, 172.42568624935734, 173.27942229536959, 174.03487324897162, 175.028121273567, 177.02730137375667, 177.29068008923474, 177.51859594454058, 178.53388162894774, 178.78429259968368, 179.42319391742492, 181.36383634507339, 182.35247766603487, 182.46491440005704, 183.76191293824567, 187.71617012665632, 188.01947450328288, 189.51736814558836, 190.00764920730182, 191.59270335427416, 193.47459878429677, 194.83020453279372, 195.1988421612958, 195.32029021945706, 195.43479845698801, 196.14610336585935, 197.2630047332938, 197.34170201915458, 199.98653008641941, 200.23110323404936, 201.25445887468891, 202.90955948622755, 203.33224096902467, 204.65623138543282, 206.38369688730472, 207.74902588352714, 208.53216741512006, 209.29984960139123, 210.14786578397582, 211.39693928260326, 211.47864753490762, 211.71701872593815, 212.50040911395899, 215.1762448504563, 215.87431303022217, 216.44501413086792, 216.53998909243472, 216.89464464079234, 217.62391694043728, 217.6951755008059, 218.46332579894255, 218.77553146472059, 219.33930414906339, 220.03116771668422, 220.73195327128687, 222.63614753911054, 222.98382421263327, 225.04633858554308, 225.38936956291033, 225.50773961487039, 225.5395985832393, 226.6714459293552, 232.3074394032887, 233.0104394083902, 234.22376397588317, 234.49190018863769, 234.79246567280458, 240.18602352718486, 240.74165614350949, 241.3798939177241, 242.6056501919133, 243.02505452679159, 244.37270553418935, 246.78580450871851, 247.37030745162102, 247.57154978749259, 248.50451411415071, 251.70685962578642, 251.73425464961838, 252.21841237814857, 253.38972941326628, 254.28879727468492, 254.94922283252535, 257.74185170026556, 258.12729737065882, 260.35851587799334, 260.57817509217745, 262.45329835882984, 262.82326756041499, 263.34571115847035, 264.19147775455912, 264.84117773610927, 266.38812988902112, 266.54840394924497, 266.67652995608165, 267.31570206171784, 267.99448668676519, 268.74105390898359, 268.8175108077811, 270.26986187290464, 270.48207220561284, 271.70531482030958, 275.26005110858563, 275.36696622702925, 275.84330117327011, 276.50228113824346, 277.52967718632982, 278.36365783070812, 280.61402513243297, 281.826860625069, 283.94602030460265, 285.47203237434678, 287.66174886846767, 290.37993099379736, 290.55349173020159, 292.16718088442377, 294.95193853275157, 297.8909823769992, 298.33563264312352, 298.38695517035336, 298.75836002381817, 300.96900255624217, 301.11359197411474, 304.02624013585148, 304.61113741170647, 305.06413033067128, 305.98566988987716, 306.43196094055298, 306.58866052770253, 306.73768792561322, 307.84119844188024, 308.21333435726859, 309.43259871919565, 310.16334107603291, 312.48947898832068, 314.98615617192445, 315.91006844204151, 315.98197379819953, 316.51863781573292, 316.96517711172442, 317.00180472414468, 317.06510821285997, 317.56322005343083, 317.97677157371726, 319.09631583509605, 321.03383311010691, 323.40469620031325, 323.6883960645871, 324.9431984119779, 325.80813665199133, 326.02527063742343, 326.42125580844743, 327.29006190945717, 328.37047309002327, 328.97413532497609, 329.82695092719553, 332.17238443717866, 332.87711776912312, 334.53224987539653, 336.02998938621664, 336.20316269033896, 343.05596144629175, 343.49084745349666, 343.82604873120766, 345.5584784660245, 345.82098568293435, 348.53831452349635, 350.91354878616403, 350.98756010170553, 352.98340085450155, 353.26774326172011, 353.30409483461955, 353.55260378558506, 354.40386450454344, 358.06623822208962, 358.55753673778025, 361.19040933750932, 362.08629518823881, 362.28259384140074, 362.6526242961877, 362.82584352690878, 364.48976602071173, 365.05246175522632, 366.12854394779208, 371.49579780011908, 371.55964727739558, 374.58403543540379, 375.22425273046832, 377.7176452399612, 378.50419099572372, 378.59870124245026, 380.9171234347038, 381.10400348282604, 381.21681044275834, 381.30440667826667, 382.15461483027974, 384.23801281053557, 385.00906884795984, 387.04010601454377, 387.09519406322391, 387.20651040373383, 388.95634121669053, 389.89292539181508, 391.202061940779, 391.25110642567097, 393.59621049946765, 394.94297950264149, 396.08462017216078, 396.15162869747707, 396.32220528203527, 396.84921555624493, 398.24901635514829, 398.5794787847239, 399.51590833856466, 401.39978908173873, 402.93739531006048, 403.55963331661911, 405.31248262072364, 406.05534620481802, 406.12561459914082, 408.08571641608734, 410.97800211288813, 412.83262624583898, 413.40651072680242, 414.13844819907638, 414.67198111370885, 415.30233285600696, 416.11086024414652, 416.88996033136988, 416.9256279995239, 417.4425487290078, 418.61795579425626, 424.09528287680649, 425.30770165125739, 425.38723850813807, 425.41918054906989, 425.56103372407017, 426.3946446167883, 428.61295284325774, 429.29132679500827, 429.79220302383919, 430.32417904783335, 430.63547778681567, 430.65622524631652, 432.72441475592063, 434.44207447762665, 438.51055015092965, 439.31153192407254, 439.52641253823788, 440.80821275141489, 441.65390736351264, 442.96039757172781, 444.51381343646943, 447.33735340931969, 448.49405879414815, 448.56982687384749, 451.25023076626235, 451.54968089294124, 453.86037496184457, 453.99736785269181, 454.9198266392861, 455.568180769381, 457.40989786344039, 459.76517163765254, 460.40538729304166, 461.79174146288392, 462.2977014338332, 463.49848965667024, 463.74496718100812, 463.91437485084242, 464.83595010161986, 465.36099987010687, 465.75046108029198, 466.34545418440405, 466.98800750576555, 468.51904060869373, 472.83163502277642, 473.4390970705025, 476.67987236839281, 478.11344703897419, 478.64315363354223, 479.88827358502857, 480.98439805844083, 481.99901570195755, 482.93161070439584, 483.32438396394406, 483.93499342111767, 483.96404836826446, 485.05931492529265, 485.25712535830297, 485.88767924835241, 486.35074682984828, 487.83834714311814, 488.63761841592151, 489.51582970743652, 489.97118766933409, 492.06424156272391, 495.14687554601431, 496.52376786831911, 496.62572549837262, 498.90803176844508, 499.20199558162039, 499.75762220606538, 501.50543859980502, 503.82257544727855, 503.97984439856015, 505.68802324185395, 506.12265223583989, 506.50455285167357, 507.0998026398467, 507.65999093720905, 508.78957605174094, 509.7959042788209, 510.00735983366548, 510.84681192099737, 512.88589284770683, 513.4914125538279, 516.17848218976587, 517.04277705281504, 517.55217710293596, 520.39428253235019, 523.23866928150289, 523.270618746482, 523.73972805705966, 524.38510634685099, 526.05083623702399, 526.3345079542986, 526.8030650428118, 526.99087506823662, 530.63830862932673, 530.96748285726733, 531.82166618943268, 532.57049252514264, 532.61999962451193, 532.94665159512522, 533.02614953945999, 535.31885954309178, 535.81814730402618, 536.50786900360674, 537.39176151233539, 538.65164082855199, 539.34195919590047, 539.52774117933529, 540.59921488535736, 541.07030160841589, 541.65015750666089, 542.04513446382305, 542.85172128362399, 547.27697915485646, 548.29897814690582, 549.57984250798665, 550.30397436842827, 550.39129812762826, 550.90573914762797, 551.02355404949105, 551.42081654445565, 551.74154362308343, 553.72747713103831, 556.31964460789436, 556.41505928638185, 556.85414210347733, 558.14896711611698, 558.53443561428844, 558.77881854372424, 559.29977246085923, 560.69120222441063, 561.74199510931885, 561.9224682410678, 562.08923493222392, 562.37204099473865, 562.43465410840474, 563.16552242315447, 563.19546194961606, 563.40152139574093, 564.03966387464732, 564.47608421404959, 566.13415836207093, 566.40300066874181, 566.87311279249241, 568.46775452747761, 568.97140297104136, 569.57133523468644, 572.54766194536398, 573.04738161434136, 573.30003476161539, 574.87351282018176, 577.61375252784717, 579.32716592150905, 579.7350830702087, 579.9487373794193, 581.07464952584439, 582.57721187946288, 584.69760356000143, 589.66188778756714, 590.80310020901015, 593.99713668572872, 595.63490801323917, 596.43576640767651, 596.64090453299809, 601.16818112385363, 602.05051653060423, 603.45426720206319, 603.68572101432585, 605.58092375873912, 606.00744259645535, 607.12256957732006, 607.60682272756765, 607.83647858675249, 607.87822944040738, 608.31332252741026, 608.95625111878974, 609.84550027366174, 611.28103179009349, 611.48253816987165, 612.39099415513442, 613.20230119271866, 614.00282911927627, 614.6692407420087, 615.95920610140308, 616.14366323914419, 618.06129859653095, 618.14750218194013, 618.96569204407285, 619.87624385163269, 621.23901487658338, 622.04713163054043, 622.6263064821602, 623.09616469926345, 623.21454526234572, 624.35116061054748, 625.09261355000012, 626.6147747340392, 626.94527209325997, 629.46721828608679, 629.522203052848, 629.55211805451222, 629.64204939667331, 631.34653642831881, 633.07847289347399, 633.13412522453154, 633.23589114855508, 633.33654750515916, 633.68785012970841, 634.26860923677441, 634.89162225340397, 636.8455933770432, 637.62232657925779, 638.47669112459573, 639.62327558907214, 641.59662409845077, 641.77355113168448, 642.93636095235638, 643.97898477561353, 645.13672564258263, 645.81382676560031, 646.3092606732713, 646.56624088175283, 646.73331136567992, 648.03869856744825, 649.38248227512167, 651.92385123804672, 652.0740596057193, 652.14066390370806, 653.03330129656115, 653.07386193652053, 655.17986470697997, 656.55408814513351, 657.52936929206783, 658.97825901456156, 661.30079526517477, 661.9903898996464, 663.19683166186405, 664.74704917800705, 665.51702628992018, 665.69783623664512, 667.35024060565399, 667.5641446671533, 668.98164882486367, 669.41888805085762, 669.94567836383817, 672.19314172611496, 673.66853479795509, 675.61605661716646, 675.82443317886134, 675.89180466090352, 675.96827640779361, 676.29552539199233, 677.3483297131994, 679.03395382137035, 680.59312318171953, 680.68041760981771, 680.87586120265928, 681.56462449422008, 681.59796738857722, 681.95261139139927, 682.00661862739469, 682.13983524125581, 682.27953830334548, 682.43058113012705, 683.28872763297045, 685.04142066515806, 686.57502199758017, 686.84762790468676, 687.24229668721671, 687.28028172186021, 688.96006145446938, 689.27411002310885, 690.35217497863641, 690.52176386145572, 691.0788093205615, 691.20896155253445, 691.30494388466718, 691.73348187567069, 693.77215260428034, 698.27524061521297, 699.70225773981781, 701.89899717153207, 703.04855445660087, 703.58397208130066, 704.16651024120404, 704.38449607798225, 704.61760413455136, 705.45876770956545, 708.35092473320606, 710.18135544017218, 710.60786720643682, 710.66089818230853, 711.55297764933096, 711.70133658644806, 711.76465949885062, 711.83664272773285, 714.59124780625689, 714.94206193105254, 716.39157931072691, 716.87168478817739, 718.05982060061547, 719.31494453592973, 720.89618151172044, 723.7994819445571, 725.355087930276, 725.89050723808998, 726.0304908649199, 727.37132056507915, 727.97832567413923, 728.42705833630521, 730.77693869299583, 733.72929709458606, 741.47114676019271, 744.55368421059097, 749.06706476414138, 751.05166346050225, 752.59957888236136, 752.99464968824589, 755.3757266197872, 755.55733149939294, 756.09237711542926, 760.90183625673308, 761.45392468717739, 761.90671416475755, 762.97405181619411, 765.69031139828587, 768.67660148440098, 770.48645291896003, 771.1855296948321, 771.22778918740585, 773.1330944583442, 774.19076655396884, 774.87410365179176, 774.90847962703708, 776.2952611614835, 777.1853059259289, 777.46113563715403, 778.31743818674693, 781.01987615103303, 783.00893500708935, 783.16001382029913, 783.20522620115582, 783.51471360770847, 785.169127725061, 786.31439629181853, 786.45974981686777, 786.73985341702428, 787.01826257317259, 788.40721164767001, 789.26167761617921, 789.34115910979244, 789.78552049011796, 791.25305294582597, 791.86589857090576, 792.31720061648434, 792.65467214330693, 793.4396098364989, 794.4890732806349, 795.31248629163736, 797.55718374732407, 798.24755830637184, 799.30379130011602, 800.51925041988011, 800.90037624388765, 801.9551556765233, 802.07591722142126, 803.98663147952266, 804.08814834853922, 806.54400417543707, 806.80225447098621, 806.83099977397399, 807.05138194335643, 807.56046182985995, 808.03713855230569, 808.13832467252496, 808.64153049582535, 811.49988055327208, 811.53989970705277, 813.09128046750357, 815.65234597887263, 815.81972481723221, 815.94320677873543, 820.43999664724129, 821.56638350142805, 823.37650790440352, 824.96659934694731, 825.97103365156943, 827.66321417263373, 828.65927550007245, 829.45415783517728, 829.81479099826151, 830.5600871043622, 830.86677528873111, 831.01065739260184, 831.76330108104901, 831.93439620756897, 832.03384034397118, 832.82704512386374, 833.01044730928788, 833.39438012786252, 833.42517754630273, 834.56128259337925, 835.83393502916056, 835.86803381420998, 836.14490840732356, 836.24253610405276, 838.46326530308897, 842.70850265056254, 843.86008924757039, 844.06261720643238, 845.82410225123238, 847.10799091205104, 848.7409427025367, 850.15738613202416, 851.6905239530214, 851.80731593251221, 852.33196536800813, 853.47142437466687, 853.66211203036903, 853.86107332486506, 854.31250180024563, 854.71306350553846, 855.63786449076576, 855.84909029173912, 856.24372051158275, 856.8367321817982, 857.41620290297692, 858.67375747010533, 859.49273484928335, 859.52602639718407, 860.9451222987534, 864.82106466582638, 866.63959169972497, 867.65276438077774, 868.96770731267611, 870.87743931567661, 870.99060527175789, 871.77131173822681, 873.91412399058959, 877.0656726061751, 879.34679888952633, 879.46917721895113, 880.7564905219856, 881.12116939584701, 882.04262813764922, 882.30791649462583, 886.38013350352742, 887.34366373849343, 890.23559657200246, 890.27897110701747, 890.57304848106969, 891.09119929125757, 891.29669277773303, 891.34595731042691, 891.93568601652203, 893.58450909538965, 895.16943079350358, 896.46819440974605, 896.78198339168841, 896.90757837580304, 898.3911012054657, 899.01344172619474, 899.49992518112776, 901.80808716405727, 904.08423933076983, 904.13213427331436, 905.05935721411413, 905.96834291919595, 906.16072268224218, 909.28357421082796, 909.34835221291451, 909.67103709670164, 911.52169162276516, 913.12876781636521, 914.69609241510136, 916.67381297287704, 917.66180398903111, 918.2423795810131, 919.61524097798474, 922.61516040526624, 922.70612413204879, 922.90061707234224, 923.0144640788377, 925.56004506617558, 925.7636378169276, 926.23509608537745, 928.11256811527221, 928.46657623333385, 929.32088817287752, 929.35534784544188, 929.43783791736826, 930.37705830326536, 931.23310858890977, 934.72515585716542, 935.05122944727009, 935.49133055922289, 938.44516800261056, 940.19633810452035, 940.88008719892503, 947.14753338680759, 947.83616595229034, 950.58042412178713, 950.86690599528765, 951.80557675563568, 951.9960006196028, 952.11232797049456, 953.02858156254797, 953.88355927852888, 954.13616309828512, 955.54407666523082, 957.41279532943145, 959.29468320669332, 959.46270223504416, 959.73940624470049, 962.0399812231924, 962.36017371127957, 963.00533240099162, 964.7199260869935, 965.54136548637155, 965.61761311076066, 965.98948438820651, 966.48609199294901, 966.54485796727351, 966.63621410874589, 966.92216768695266, 967.48462261691088, 967.56638271052066, 969.07938504989272, 969.23409834776476, 971.56788448238103, 972.89845854435657, 973.31351429048175, 973.85437294479777, 975.56649719554696, 976.53974926795036, 977.71560779791184, 981.14585969932091, 982.29357656563377, 983.49111770146487, 983.7746601948279, 987.33780296716122, 987.45392567309011, 987.57219350976027, 989.4920634485153, 990.71895283696131, 991.84981488333619, 992.6732570491472, 993.44998390672413, 995.04725385738561, 995.14155049570638, 997.0729016176349, 997.4219151359033, 997.50901282470147, 999.90612089409581, 1001.1732950848477]),array([52.855651446663799, 54.614487819053863, 55.000843331013826, 57.020020352798475, 57.707495005809676, 59.280479739684282, 60.530827083848372, 61.325099836512969, 61.447619215110109, 61.885578847301105, 62.533465134030514, 65.934809097756627, 66.390771789953433, 67.079769499341566, 69.911545282344576, 70.647830509809125, 71.251451125280155, 73.361066662714222, 73.591241333133055, 73.997713710480298, 75.139145741887191, 75.339229680753405, 77.032111818695014, 77.179895460341754, 80.58886723237309, 82.493670937774667, 82.856389581487804, 83.783950905895324, 84.064354923015443, 84.991382711385199, 86.48220202661264, 86.996988250322943, 87.609150499382054, 88.679912594207067, 91.653219568407238, 94.884166476545857, 95.159465327356841, 96.846471105434716, 97.634452883161259, 99.685500263667436, 100.83717305132988, 101.26334899820206, 102.04565089457056, 103.21377772814603, 103.86207188000324, 103.93987947466361, 105.042690597096, 105.95016226303697, 107.20765328305851, 107.47276941433933, 107.78015561930395, 111.65707463411313, 113.95420325462754, 115.91910472075611, 117.40490789199121, 117.87093392399544, 121.50727877460611, 122.40643890783187, 123.8980029937082, 124.19610601430951, 125.17139184891988, 126.29032324561784, 126.80845326964418, 127.65422005426035, 128.57873960261853, 130.33331433711624, 130.45846460550194, 130.81139182085965, 131.00206522348134, 132.68610328935273, 133.68628242629447, 134.32974973886027, 135.15946295327259, 137.97817311298363, 138.60511048649053, 139.81293886876102, 139.85174852009399, 140.56975771120437, 142.83643115721932, 143.16451329186938, 144.2050337535089, 144.45883116708288, 144.93537389493412, 146.26328268095855, 149.20071274422062, 149.27554541713135, 150.49227694575077, 150.61082723032021, 150.71689451322956, 150.845185460359, 153.14720781483004, 154.91613187854102, 156.15846116006389, 158.06996704903776, 159.90314612925209, 161.16716380230372, 161.61568997371103, 162.51818078173417, 163.50084554709903, 165.17413258922329, 166.16572213872203, 166.19280198844862, 167.31661866027554, 169.14526762540217, 169.37350986208065, 170.84639165796085, 171.10893690015106, 171.29410525429597, 173.27078543851974, 173.43143754488867, 174.23866107118309, 174.36707996819231, 174.70852586521769, 175.5521118867965, 176.01325679629329, 176.15268384906946, 176.33073872831145, 177.48683319106325, 181.16141120506668, 181.87426626916837, 187.75458148942406, 188.60489951550107, 190.08887733203269, 192.32672566683209, 192.88282301733176, 193.71626686977098, 197.89381148830591, 199.75090101985197, 200.5132873248636, 201.22471158774155, 202.06969901918529, 202.81950633951112, 203.08374056493028, 205.60006726573059, 205.71414160466682, 207.08932048963732, 207.22751543594319, 207.62303537595676, 207.74138745312686, 209.28122685008324, 210.5146729328483, 211.01665796716932, 211.08159060729244, 212.8831985336561, 213.42014143191844, 213.6400390436491, 215.95930294299879, 216.902005392033, 217.33204147197591, 217.82118461730127, 218.89903083854298, 219.08541855186954, 219.43355602342987, 220.29175289274943, 220.79521998541807, 221.15904007491875, 222.35440022605701, 222.49148067807624, 222.88037451063244, 222.99558248953116, 223.87844106384478, 226.83914852385595, 228.17358544743414, 229.62475027387458, 230.03376178973988, 231.46893246568155, 231.99161368701473, 232.41587502723249, 233.78935987767724, 234.07297393394839, 234.51643261498836, 235.24380732832549, 237.35257187142506, 237.51904613858841, 238.10150160426511, 239.10503093512364, 239.85359578694607, 239.90738763527673, 240.08579556789863, 241.71165596552126, 242.76252236400319, 243.63076641280526, 245.06494391851228, 248.61589797016191, 253.06294411894928, 255.37971214364842, 256.34248748502381, 257.42261586009266, 259.5714458956773, 259.60025040372841, 259.6993253842989, 259.93872167524182, 259.97461143836148, 261.51317720998253, 263.1079187860708, 264.20999253742099, 266.84147663552346, 266.88269833218317, 266.98031793699812, 268.38250893460122, 270.03093360158636, 273.22958125805923, 273.42680317811335, 273.64652623856142, 276.42904192672529, 277.49026726813594, 278.81897041908502, 279.2022995565934, 280.26554887826478, 280.67359917344641, 283.76141135863145, 284.3968770773194, 285.53945391325794, 286.12387178906391, 288.03364844413363, 288.59413300135685, 289.94558313160724, 290.34628162599051, 290.38189857734949, 290.86014541751911, 292.18174100561981, 293.67382891511852, 294.06174479170511, 294.95662931054824, 296.00444820812299, 297.31549992568051, 298.2301121734389, 298.32480963616797, 299.32189833770889, 299.53968309904553, 303.12650518668704, 308.27022925741915, 308.73607170509791, 310.57459982992214, 311.36309440206389, 312.43964932745996, 313.57187912862634, 315.63105432847067, 316.17104113704164, 316.31558217491187, 316.66840762130431, 318.24417175561314, 320.13067176812808, 321.16111033131892, 321.98880666965562, 322.09851021562326, 326.088642189251, 326.57948424416895, 327.4778809935118, 328.56196008040001, 328.68927454043001, 331.53919758059021, 332.35767167302197, 333.34348810119013, 337.65958135206773, 338.45393340428666, 341.48295116015265, 342.11909302324335, 342.45604261305323, 344.22085459478774, 345.20768081388371, 345.35366993215604, 345.89380397793406, 346.86523955061625, 346.91915786736058, 349.64411022428141, 351.60598292751138, 352.74000244195798, 354.66735021385477, 355.14568070871576, 355.43214081299783, 357.45881154805556, 357.69950893779026, 358.42759917458528, 358.97220533309365, 360.40396644445093, 360.83415711841695, 361.83573831887242, 361.92334805597091, 362.02030717419001, 363.30278999719013, 363.69335730001347, 363.99473065061545, 367.25278288419656, 370.73303637623889, 370.85014904719361, 372.47527811616072, 373.21654613666118, 374.44886404652999, 377.36196297056745, 377.56657673988582, 378.46302055440776, 379.31698236493838, 379.51397951384064, 379.61164589308936, 379.71990283339341, 379.9632298835337, 383.04316463214076, 383.06823120320166, 383.44397086912255, 385.49049898131727, 387.49407211208717, 388.15717735924324, 391.6570425535802, 391.70655482223577, 392.68438717854684, 392.745626064524, 395.1252643800978, 396.1382414738033, 396.22465343679892, 397.24934715917783, 398.21189382883512, 398.84491311460863, 401.39776024016487, 402.64606841359125, 402.84374717756015, 402.94498333605554, 403.59098772535503, 403.80764790113972, 404.75004011545218, 405.83559419137941, 407.17747191704552, 407.54758630089708, 408.41354912530483, 408.71896580788507, 411.05876951559247, 411.42756080708892, 411.59010619819088, 416.41126473017999, 417.85276482581293, 417.92116767388438, 418.16014591033246, 418.97977055434791, 419.84276481512978, 420.11814609715168, 420.39142178464454, 425.08310480428446, 426.08423286372346, 426.82966093376001, 427.09604504430962, 427.26747752801595, 428.23475934914325, 429.53643546754324, 430.39008622788685, 430.77175592638332, 433.96834468679759, 436.5878972614646, 437.1549344371515, 437.7587523666333, 438.58766921106093, 438.92740564025905, 440.09023833284743, 442.04583900107411, 442.61846587962043, 444.47345440314308, 446.5267532472368, 447.60004038293778, 448.3503160619394, 450.54203151582055, 450.97624064535023, 452.03159490721771, 453.04894605433611, 454.77904546847049, 455.82193097090817, 456.26885940434192, 456.30947212105917, 458.51186385796092, 458.71453044685103, 459.24390713938425, 460.80347260465777, 460.89166592936402, 461.03641482298877, 465.68053664541736, 467.70388819642022, 469.23236724396071, 469.28437084627205, 471.15491107537764, 471.21264831086171, 471.6107812484255, 471.64428215087702, 472.43759451210309, 472.69635116813504, 473.19551719750666, 474.96066139109843, 475.81086640020436, 478.40302636568441, 479.39626876084185, 479.4626667906881, 480.04911295101851, 482.42322752538598, 485.71062769751586, 486.59812170818384, 487.33358940998227, 487.50814733356663, 487.75459476638389, 489.18472836187908, 490.47770248515826, 490.64939678020357, 491.32992806188435, 491.54613843932748, 492.99447537471792, 495.73103618520213, 498.21801236029268, 498.49846704575151, 499.37080788159625, 499.44255735883422, 499.64740907626953, 499.72547175137476, 501.41058795009496, 501.64983899710126, 503.17751625552722, 503.78870020808318, 504.09296185812758, 504.51467265850835, 504.66937166701103, 504.73797111599413, 504.91146849058146, 505.59378551209034, 506.70324643829713, 508.67606707344873, 508.91150525311741, 509.3734842307797, 509.41437756153505, 510.66452681891559, 510.76415209789184, 511.64857337355664, 512.07439129415877, 512.55230389414214, 513.45120065319327, 514.40042751775968, 517.22848426635164, 517.64058304689286, 518.03460103168277, 518.87885247165968, 518.97881555355673, 519.17756927600908, 519.32914351078261, 520.69773557102201, 521.43670515676456, 523.96376902759494, 525.65142774514732, 525.95531756555249, 526.58757602828837, 526.61102533382223, 527.19217423207635, 527.46045662117569, 528.19402381344878, 528.27170291278799, 528.81155714057297, 529.31023339478236, 531.4959273636531, 531.57818992289253, 531.81155623145412, 532.91763325200134, 533.78579112047339, 533.98519969180074, 534.46995104703365, 534.59631374168714, 536.30901199780021, 537.70298338275052, 537.87862478934392, 538.0452730032606, 538.08233818725284, 538.38080670873478, 539.81241170173291, 540.07149421948691, 540.39232442034267, 542.66652358434646, 543.19510544204115, 543.36117185703097, 544.76733987845898, 545.42408888111902, 545.82552390351839, 548.10025982596562, 551.50146347118061, 551.5633457453514, 553.68089100572729, 554.17188998522943, 554.77317212154469, 555.38750043175469, 555.46299799565713, 556.98289192848415, 557.37759555149603, 559.05659372817001, 559.41609534878739, 561.06876220345896, 561.41438887891218, 562.03184516440774, 562.1080776548298, 563.55145149020586, 565.01737162312213, 565.47448564648596, 566.85601725400772, 567.26116264744951, 567.92154300597554, 568.70957608931053, 570.16076492706929, 570.3907171324314, 570.96135388109622, 571.53236052021475, 571.83742451952594, 572.93083525854092, 573.05846016498162, 574.12607436017913, 578.36517261904271, 579.72999642369291, 580.2403065875618, 581.07241645276724, 581.7542884392808, 582.40014090258001, 582.75632714048572, 583.21448376567616, 584.4726840920481, 585.52216873281964, 587.6330799727524, 588.36393005950765, 588.9256643789754, 589.3581949200875, 591.25803493001808, 592.09306792988491, 594.45877898871231, 595.31812542287753, 595.83231642746921, 596.67946146938345, 600.30815521938348, 600.42534592224854, 602.06766548174915, 602.53499600243276, 603.02763721970041, 603.83391183920276, 604.47679282451861, 605.50685123730511, 605.71855497629758, 608.29367158487184, 609.34816892652191, 609.8137597826734, 610.05370897354783, 612.02799752921271, 613.64602059776666, 613.71551818344119, 614.14803161916404, 615.44597965348635, 615.97876603790905, 618.22937641934561, 619.1110069896713, 620.6113419550835, 621.27456900421726, 622.83656146923465, 623.1763431045963, 623.400929089844, 623.48435529012704, 624.74084644447453, 629.49899015239589, 630.69272119084599, 632.68428089024826, 632.75196698314869, 633.35093058566849, 635.79947002197287, 637.37037328970086, 637.92007320114749, 642.45935204617774, 642.54361361067777, 646.31204740214548, 646.54776243135632, 646.71053260021006, 647.6982335682535, 651.2834234213276, 651.43187577731112, 651.73021511018896, 652.15455925201877, 653.1986871666146, 655.74829246488071, 657.77759504981213, 658.48734244784782, 658.56891674265432, 659.23345122032208, 661.16655656896069, 663.31882403094687, 666.15949956314205, 669.36075104731003, 669.92152544326848, 670.20501758566706, 670.34882259917504, 670.74180613235683, 671.96653221873373, 672.0705008149705, 672.62605201124552, 673.13680013605483, 673.27373417248828, 674.26171184013231, 674.46366755532006, 676.95721953881957, 677.26021668104499, 677.59167968747954, 677.75144532053253, 678.13628464158433, 678.72809889320013, 680.30038987420164, 680.84738499206719, 682.20447011293641, 685.4391957377602, 685.5564132912682, 687.02442151724665, 687.39936380274344, 687.4950916281955, 690.06822883840778, 690.3292466659683, 692.56665144077488, 694.40186319049553, 695.19489696209246, 695.28971677663083, 696.69808866718461, 697.09346101660913, 697.80493760142485, 698.66952651070721, 699.08567532262066, 699.76406286948202, 700.21697844394896, 700.98792097571402, 701.18380997119937, 701.76721388433157, 703.77174065957001, 704.54049522132459, 705.16188403961928, 705.30936171934923, 706.47532875217291, 708.01379938205298, 710.44864425350761, 710.5041797303702, 711.0470221580274, 712.05753294395117, 713.44465215219054, 713.61594420519236, 713.9126395073331, 713.93871801811304, 715.4614458980883, 716.84477191827852, 716.91698763987529, 718.82197853819832, 721.17314327372708, 722.42651409157827, 722.65155816082518, 722.79260637662537, 726.16547630097409, 728.41220353082963, 729.69732291338937, 731.5756376864814, 734.26035999930866, 735.45139731229608, 736.47245090776971, 736.96554103240749, 739.59778664519467, 740.17990180313666, 740.22497777422268, 743.34013350383168, 744.67627790541894, 745.31602751380137, 745.86289246816659, 746.31669431369528, 746.8348032952797, 747.64310924999347, 749.37875454510811, 750.58869421825159, 751.37519400418319, 752.85989830769267, 754.19773388704516, 756.15896645483315, 757.02010215897826, 757.74964841932649, 758.10128930958172, 759.74939548297129, 760.90748167689651, 762.05887878689452, 763.34712938858877, 764.43280061644987, 765.19317174954756, 765.39800429853858, 766.55127356346213, 767.35805201191408, 767.45939981622371, 767.52985772080751, 767.58430626665972, 770.62139347031336, 770.85503537164379, 770.94846501031384, 771.01806683152506, 771.10658003319679, 771.61398275304282, 771.80170462994261, 771.85824081117948, 772.25519333956038, 772.9909761608717, 773.2338217922578, 773.69629045466843, 775.00680741783128, 775.80980057378088, 777.23794993737147, 778.22760700152617, 778.30058439223342, 778.68804418752279, 780.86555740942947, 782.67457480645282, 783.43425282694113, 785.29477179877415, 786.40135100257669, 786.56527537082695, 786.61228036326793, 789.15548897642475, 789.49293020369919, 789.73285111871769, 790.68340843865894, 791.48930846355654, 792.28944626572707, 792.92000554295566, 795.3455464728894, 797.42423953907576, 797.83351551518365, 797.96691181234041, 798.30475639229246, 799.63013722454752, 800.60779403110564, 800.81768136178607, 802.11937119715458, 803.80148779354033, 804.63328470812166, 805.52245136323324, 806.11218785217204, 807.28082948305598, 808.01944635286486, 808.06246579708238, 808.82018815469121, 809.66277828606962, 812.3166802057068, 815.32845839001038, 815.54502035680628, 817.46433829727005, 817.9965849567277, 818.77150899531375, 819.50307102451916, 820.77235202094676, 822.19506191309119, 822.57110150871267, 822.71936485551885, 822.98264647358189, 823.65994399884949, 824.08658259127924, 824.85008737866963, 825.14114501570361, 825.38535839337828, 826.38023465563344, 826.4221286352323, 826.5707266656085, 828.24100636206322, 828.50668501748532, 828.78761643513712, 829.99776486938913, 832.99364212816533, 833.03621080969344, 833.39397116635075, 834.05624892998742, 834.6282504410475, 834.85679187519838, 835.04214545793673, 835.4245042349886, 835.60583307659215, 836.3366806747598, 837.73964251350469, 840.52267924082423, 841.14874313318467, 844.76389035950058, 848.0161447518891, 848.24504943915383, 848.87143254526688, 851.64720435141828, 851.9757113346468, 852.06213734124265, 852.94914705079805, 854.11211613393959, 854.26090715284033, 856.4842705605563, 856.66339871090565, 857.47391265935903, 857.88180067117287, 858.11644709334075, 858.80669719817308, 859.70148228538483, 860.99711757171826, 861.68558678335978, 861.83568001743095, 865.27109993797399, 867.63894833087897, 868.0277313506673, 868.6724846670254, 872.73811010242468, 872.7670819650665, 874.67211422194885, 876.72307776912089, 876.77192386360184, 878.02040293552886, 880.88895841770102, 883.12840543147092, 884.40719877416666, 884.73640618351192, 886.23035579879149, 887.63781163087435, 889.42538151717827, 890.01843837791751, 891.95904843720643, 892.2065950298113, 894.55114722587757, 895.63762346772751, 896.18626192620354, 896.41222832686537, 898.79632853054738, 901.70108862662482, 902.29446319050112, 902.4624246299976, 903.57137185585611, 903.61698557453849, 906.46326650903416, 908.10047525108325, 908.59762484257976, 910.36691388701172, 911.24724872590377, 911.44965167793191, 912.00896445711396, 912.03271537547323, 912.89098283887222, 913.77750522671738, 914.40019409762363, 914.44369236004275, 914.6945634958056, 915.37621285617797, 916.54033439452928, 916.93763422057168, 918.11527376576248, 919.07270221288445, 919.54096642360355, 922.6577885135323, 923.63300221551833, 923.79808085766763, 924.1187585831467, 924.16540413743405, 924.52288702481303, 925.11532206696802, 925.67126604975465, 926.23244376679691, 928.49274671047851, 929.24535001864911, 930.66476738042479, 933.95004027506047, 935.1362693535466, 935.19860738548437, 936.58471288967667, 937.72003395202523, 938.05008408751576, 939.47347154796432, 942.00567453741462, 945.5163464497042, 945.99924103582771, 946.31835955265672, 946.47454315541393, 947.47769952696206, 947.79592298342595, 948.95271796711427, 949.36098283963781, 952.23671388396679, 953.42178824483631, 954.8351423406848, 956.83756552991292, 958.0981228688413, 958.25075696910005, 959.13175349960659, 959.37042330161091, 959.52411971576441, 959.8631140349263, 960.66374905306077, 962.1779383914012, 962.20869287524681, 963.34472446094139, 963.72311682966199, 966.102838853516, 966.13343425852167, 966.40849400874538, 967.13621930535328, 967.42645709417775, 968.21238662802102, 968.52450090300431, 969.26735751498063, 971.0322933962218, 971.09458197555875, 972.58449313088124, 972.85560249865557, 973.51543502474931, 976.85864332321364, 978.17329878754413, 978.41618677090298, 978.90205290382187, 980.82434305057939, 982.8884384215113, 984.46542211602127, 987.16268938082419, 992.31337248166358, 992.59417608649551, 993.30403624528412, 993.74763741061736, 995.52273919047843, 995.55975956524878, 996.95120059111639, 997.46305311920605, 997.60108814084015, 1001.1464599826207]),array([48.79264302153473, 49.074503712884663, 50.561787707931089, 50.611103865622759, 51.492182982113761, 52.144734802575059, 55.529635744517449, 56.903093653101706, 58.580882483752404, 58.780216839146611, 59.662489638222894, 61.273545859765825, 61.722997422882109, 62.406854305120007, 63.374488295283022, 63.979185302750359, 64.185563046215691, 65.091217353307599, 66.807019128976037, 68.544996507371209, 68.585202989741035, 69.521689453434362, 72.772224434564095, 72.940158851345132, 73.380283570425206, 74.045710474377529, 74.343025714433693, 74.490817820430337, 75.403518100640724, 76.163002417207196, 76.944395837891804, 77.709386127231596, 79.113572231437288, 79.717586569457993, 84.569836910102893, 85.141352678864749, 86.266588397290334, 88.561966853183009, 89.064635136516586, 89.636399714513388, 91.022327989299299, 93.560152823915217, 93.802103229509143, 96.767225121339052, 97.595256090443712, 98.103408616749604, 98.948591993680395, 99.348785898762017, 100.39313445494412, 100.90269040085354, 101.56547907810193, 101.65122959754071, 102.44002827151456, 103.7756651602818, 104.56934000089417, 105.93409214228086, 106.88017486766122, 107.45284145932223, 107.64796055947154, 108.37549435150605, 108.50648793726627, 110.8971346953545, 110.9611116691672, 111.04058365703168, 111.48749632567052, 112.42498978251439, 112.66627734330331, 113.76958321724571, 114.66793404994004, 115.31002039121016, 116.08824946542713, 116.96713353338377, 118.79631235620231, 119.01294664353134, 119.0578653593944, 119.89276888189558, 119.95723243709855, 122.02591449256246, 122.24944225340838, 123.72680457177745, 124.4010885475616, 125.67237695906711, 126.79164587570745, 127.09550569092465, 127.33573642666416, 127.76930405910861, 127.86203964889252, 129.31456759023385, 129.40274704958537, 130.11155933124721, 130.54558499198774, 130.9489189947254, 131.8510415978964, 132.2073297967585, 134.93969831031743, 135.27438568802236, 136.04632667238522, 136.19750742778444, 136.21844981548307, 136.58362392213201, 138.77930976374088, 139.1431875262634, 139.42734330137532, 139.8728602188263, 140.4693860197215, 140.9648852246448, 142.51197929538952, 142.99302578417007, 144.19866870563263, 148.18863027458042, 148.65782620174207, 148.74642634144374, 149.15075648299145, 149.17950444164541, 149.98223538440027, 150.32050143919196, 151.94147670718951, 152.84459520055123, 152.95854014242477, 153.39711798364837, 155.18567637266739, 156.87314665345954, 157.21610117125655, 159.20292475725662, 161.3854811351035, 162.31345107317233, 162.62729479360021, 162.74542574652185, 164.46571717779292, 164.53648249017917, 165.61327090599093, 165.92404847624209, 167.03964059286037, 167.19250307248441, 168.04992320820543, 168.88976889629114, 169.27324342094062, 169.71439788243887, 170.68736967979734, 171.06424097407509, 171.1013826664946, 171.54581881321911, 171.8381241345979, 173.18761694438749, 177.57035902479919, 177.76332052631173, 178.18972743209056, 179.29976493956809, 180.45307744899441, 182.36057630448761, 182.54580645338635, 184.65098529962233, 185.13834876674457, 185.26521913543885, 185.93418732949416, 185.97002816205392, 187.23223570516475, 187.99368274517772, 188.48861536900469, 189.42208563122009, 190.0891225044665, 190.41234918239266, 191.42067788788592, 191.45643010630937, 191.94489057269126, 193.41503250931879, 193.81874340804612, 194.39419690326162, 194.8908093909337, 198.53707283087564, 199.34093820888208, 199.98106929535689, 200.21973064655626, 200.59571471265272, 203.5003070133755, 205.29211546831772, 206.09610225936964, 206.3858723002086, 209.16222316233976, 209.44550401903598, 209.68186345922598, 210.69557556175425, 210.98495865168167, 212.18392595266531, 212.97825802785502, 214.75307590643416, 214.99714049408178, 215.61275148501662, 216.51322948050625, 216.63831877438764, 217.54226193860586, 218.66938245963576, 218.84680283890086, 219.87530726189971, 221.98547284374771, 223.21601469049588, 225.03040875681654, 225.50324050608853, 226.1163794598466, 227.27899230661234, 228.07543337716615, 228.51408895956513, 229.37707044844186, 232.75124481924445, 233.51046047857287, 235.24929925368659, 235.97694048943933, 237.87499341535954, 238.09980551736024, 238.42840553242814, 238.83511732607329, 239.44720950115735, 240.01942854671415, 240.07981014514249, 240.35093709864722, 241.69830834725116, 241.93306168716344, 242.12733094543904, 242.80017880456731, 244.68117293895386, 244.7739371777744, 245.17909564301164, 245.39590632420249, 246.66171650257689, 246.77453957475012, 246.91285141454631, 247.82033609763363, 247.93516285270059, 248.96240543380537, 250.88060933193194, 252.99259118347103, 254.91900811068581, 255.23666412802845, 257.51649691359194, 257.91589310915072, 258.33271744144758, 260.17035871425128, 260.95349297694054, 265.56358449484509, 266.16195919761293, 266.4285949877854, 267.21303443774116, 267.94336244255408, 268.95833670792609, 269.75928519586671, 270.31446781841959, 270.84367476769341, 271.90004244030916, 272.98247926071139, 273.361399300252, 273.4482901708397, 273.83311205606805, 275.21998772651841, 277.15349859519671, 277.28609558191278, 277.83152399607349, 278.49249832090476, 279.50419221396783, 279.98420999936906, 281.26243162639275, 281.7017958088818, 282.66153102559952, 284.63444761206819, 284.78845177453519, 284.83931024683505, 287.46080130951952, 287.94719264498735, 288.1646059720469, 288.61871001617806, 288.72319350778298, 288.97722711631985, 289.06274420480912, 289.23594626709178, 289.50657213651357, 289.86806752976918, 291.79703316993215, 291.90327555416513, 294.33359421410512, 294.57585368577548, 295.27930356333627, 295.91862725680465, 296.73438534423457, 297.10542176983154, 297.60167373564747, 297.98804738852999, 298.1627979666726, 298.98846798838707, 299.08538620613143, 302.02846010382342, 302.26805491124696, 302.31832693942596, 304.22334771498021, 307.16734835618507, 307.2901933662996, 307.37518825066917, 310.60604960974013, 310.65902356634143, 312.87906507115508, 316.16667257839862, 316.58722542921163, 318.07304513455119, 318.66051919166904, 318.73706935259611, 320.74128293752875, 321.48828599891232, 321.53714456246922, 322.9068640158236, 324.04726188380039, 325.19585539323833, 326.47687198746786, 328.20077410577397, 328.25175176356407, 328.71354560159801, 331.89172037966, 332.0005512029378, 333.25140039315613, 334.04736877673406, 334.38026985264014, 335.80687745646685, 337.51638017582462, 337.90094984676512, 338.53271576163507, 340.42388327075031, 340.62733782307356, 340.66115969272454, 341.48751756606231, 341.65343425339319, 341.73651856581051, 342.44534790491554, 342.76058020134286, 342.78276112435179, 345.32706900223099, 346.4628163998039, 346.59883494826238, 346.94911227560073, 347.77637484194491, 347.99592162350297, 348.60597654749438, 349.09567437500772, 349.83010538072409, 350.960848078053, 351.14458768865768, 352.14824924767436, 356.99431994977675, 357.2811299362686, 357.38030641171594, 357.72577438787494, 358.4510164939075, 360.48128935625357, 360.5686851909079, 362.33910394977278, 363.63035486143144, 363.90697098751082, 363.94959388637221, 364.67694013575249, 364.72747800232105, 364.83917045795812, 366.22304583502336, 368.20437403788679, 369.88016944471877, 370.33612940438644, 371.83761571688018, 372.12037032715091, 373.52107083577789, 374.94067473066787, 375.97117297837099, 376.65916649521358, 377.19643870938216, 378.31158703924649, 378.76470381634783, 380.53190396912242, 380.57982998088363, 381.6652061235983, 382.74716142968481, 383.11374238222271, 383.22135581136922, 384.52273610435424, 385.14160109782534, 386.14336391424791, 386.67029267804446, 386.77288510842834, 387.23038865197441, 387.38174573964176, 389.19325520811424, 390.2674883314167, 391.40857791081089, 393.56193836103563, 393.66740060716302, 394.06235099894099, 395.05103333544497, 395.172750407227, 395.51225066777039, 395.54089253429873, 395.63266521089787, 396.51786943490333, 397.89364411884134, 398.2231629228674, 399.32365938242754, 401.21224401643855, 401.77088522841018, 402.89019501328744, 403.88917254456805, 404.53986483355578, 404.65817109938013, 405.80053423658461, 406.15951414563574, 410.55340718979181, 410.60209747337268, 411.48723885842213, 411.60710047944809, 412.88259256063964, 413.71758909120905, 413.81879352460328, 416.81643880052877, 416.98887398313798, 417.60205435870256, 417.9708203780246, 420.05462524980192, 420.10557071388843, 420.3991869750509, 422.1567281195878, 423.21490085175452, 423.98110643232377, 424.39707769553814, 424.71694885619286, 425.16475947649428, 425.89506223367192, 426.62949533206648, 427.43329983393983, 427.95090977587785, 428.49949866644459, 428.69165314217082, 429.0272248774242, 429.1779501124588, 429.21184951244373, 429.979919685943, 430.75026808519254, 432.01930857687751, 432.30173182495025, 433.56750687781403, 436.69365205983041, 436.83964287848261, 437.04234515466487, 437.07378797615257, 438.19582847259124, 438.43604229981264, 440.18430151518851, 442.22174113509118, 442.90538551840382, 443.60220387225354, 444.7790157789907, 444.87439298047968, 445.19984197850175, 445.74076986323809, 446.2902048445867, 446.40853269869592, 446.62191575195067, 447.17991210904921, 449.22547170836862, 449.58625466284991, 449.61477179461747, 450.26168673513871, 451.08392618788997, 451.3701347989869, 451.58002560111606, 451.63775099063474, 451.70232765299295, 452.76964300857344, 453.01641605025753, 454.90032440909511, 455.6459976311686, 456.75738187842853, 457.90810788882271, 458.17570545578315, 459.15779815718383, 460.67061313147127, 462.78549161740489, 463.50725764125178, 463.97527340122741, 464.14401711555399, 464.93546484003787, 465.09261051076834, 465.66088388551111, 466.3657835430181, 467.77870541174269, 470.00288652299855, 470.18876426426988, 470.4796195147045, 473.545752859755, 474.02959405209157, 476.01819231165433, 476.52692164741973, 479.36424853037403, 481.02750269162868, 484.82026133266328, 485.49619223121914, 486.00436023022053, 487.91629722876661, 489.22033708953546, 491.21907306743282, 494.73907672320854, 494.95217222215717, 495.08683616837948, 495.63409590208278, 495.69979773703898, 496.36650939352211, 496.87496117002866, 498.46794563708175, 499.80987494552113, 502.71508113022952, 504.10753143033327, 506.38717632855446, 507.01235519862382, 507.30984742951114, 509.82769942147178, 510.29928263282983, 510.34585016196769, 510.68706255225896, 510.83398484269685, 513.98991893563539, 515.10962447737768, 515.51218110994319, 516.73472966125337, 516.87191316723988, 517.05925681266706, 518.10710124246521, 518.8996104691355, 519.94250179118001, 520.24763249900627, 521.4486560056323, 521.95498577107492, 523.20633050991239, 524.93708257445519, 525.59874694293364, 525.97483411492385, 526.68223141205078, 526.78862303627659, 528.16334596920967, 528.4425297128721, 530.39817009165165, 533.6197432449228, 536.07001483513375, 537.56379913732121, 541.17944973583155, 541.55421847786204, 542.56562571090615, 545.12923049395579, 545.56234449595104, 545.7652287430119, 546.54518691299563, 547.3127137018638, 548.33175152319302, 550.0999474190487, 550.4701747841018, 551.67822239338454, 551.77684774366935, 552.42717794893986, 553.00379217649299, 553.58169438867105, 554.79214004238099, 555.06645421604287, 555.50772930303026, 555.53421432069172, 555.81125792362161, 558.92489324554822, 559.82541285929142, 560.52086462335046, 560.57101823111259, 561.0373480432653, 561.94393347391758, 562.11075568029594, 564.5781968895036, 565.24997245807253, 566.12182037408456, 566.1537233547017, 567.41079089093535, 567.71093220104717, 568.06619353879012, 568.62311716257727, 569.25180263637753, 569.487023371242, 569.81337216348743, 571.22223964037346, 572.21762370374529, 572.79688654124948, 574.05418782276342, 574.07867503453292, 575.06311184733704, 575.14569767036812, 575.72351813852072, 576.11132770589893, 576.26146132772146, 576.31143067808273, 576.60447142042119, 578.47312342571433, 579.0409995749452, 579.19127609664872, 579.35190095965561, 580.84954086678795, 581.86997032465206, 582.01343141710367, 582.48343693373465, 583.14469200619203, 585.56544663934926, 586.07723509647406, 588.31072196031107, 588.59348544885688, 588.65874477978275, 589.18875834539051, 589.80239286549477, 591.79814607459411, 594.04187433352149, 594.59363911873686, 595.64679821988386, 595.86435875659481, 596.58802442452509, 597.80860861432814, 598.28909278635365, 599.1226673314585, 602.92476154791484, 603.02680224955679, 603.80224280099912, 606.61571196228385, 606.74037666294066, 606.83934378760364, 609.72146704175236, 610.10395641647688, 610.68819065472542, 610.77566978529785, 612.30204065054738, 612.8579968371339, 615.31455042648452, 615.51688410941676, 615.87872873132005, 617.78070435935638, 618.8447326501738, 621.26317982369574, 621.79967477296782, 622.14385566828355, 623.13929662683836, 623.33818718103601, 625.96465271771194, 626.1017533143671, 626.31774436314799, 626.37757344144222, 626.43097334672495, 627.59597518743647, 627.79139591263993, 628.72227553592813, 630.06679684465666, 630.25028941693381, 630.94674003130149, 631.6736594328155, 632.99081640046302, 633.2951636211352, 633.77045368206802, 634.93891555636253, 635.06383097016305, 636.43092433108905, 636.73545143623789, 636.91714215849595, 637.02429060052634, 637.9859021097808, 638.0578367074022, 639.19062039577068, 640.30021113505529, 640.49290281716901, 642.24011368014703, 642.31022380616275, 644.27647611546683, 645.28003850762025, 645.67780446291488, 647.19596196047837, 647.90859068248676, 648.57018537498141, 649.04159182127626, 649.89750270234856, 652.26153504657145, 652.83216093451108, 652.97196450547767, 654.6314112871836, 655.41671250003981, 657.82462993693309, 660.50220437035853, 660.92851226722939, 661.94132069632496, 662.28882732954094, 663.17775853792989, 664.91991915318067, 665.53161641095846, 669.3657601521893, 669.97355978992937, 673.86062413298612, 674.27296655642192, 674.67374137820889, 675.14741172214303, 676.111871533829, 677.09599892753317, 677.39822361968606, 677.46537274201046, 680.31639450090574, 680.95635551595217, 682.28439186452954, 682.32547524562335, 682.57284912406124, 682.80608238641969, 683.2979931219794, 684.25391634088805, 684.80472670435245, 684.92829544038909, 685.40335913344404, 686.68264469215683, 689.49788125810596, 689.59639296877094, 691.46993986979044, 692.37439198041329, 696.37321991569706, 696.83960276208859, 697.45327732679618, 698.85269773345988, 698.98006916423276, 699.30890996062487, 701.13146066071022, 702.82680706239455, 704.42230665218585, 704.94397533202152, 705.23013842850412, 708.28057223590622, 709.62720994343465, 709.69959876863163, 709.73057188916925, 709.89666145856643, 710.03748073924373, 711.34084805589987, 711.69827511573317, 713.68054365765488, 714.29447454813521, 714.3404412028176, 714.43656874891565, 714.71425793972537, 715.64367368969897, 715.76134771635407, 716.00770050770268, 716.17448499166994, 717.26398068836806, 718.74399856865068, 719.7991224261358, 722.14101724754039, 723.07297401179699, 723.71464439156387, 723.79785975282789, 724.4659191251684, 725.13073894457159, 725.63622701990096, 725.83331585233066, 726.14818370740386, 726.91097833616868, 729.02778984611564, 729.23860819688059, 731.11745181793867, 734.78870332918075, 741.70384663573554, 742.72219717124494, 746.87514510961967, 747.3133759123258, 748.42155532086497, 748.67924360627705, 749.14009789436216, 749.40070540070701, 750.56099661811038, 750.721657840072, 754.15007954597286, 754.49640843673353, 754.96372095611559, 756.37755379233386, 758.59228852175977, 758.85774326829994, 760.37794298977724, 760.59899985316656, 762.58109447577908, 762.66239675328995, 763.32843162905954, 763.5820174872016, 763.73610561962948, 764.37781718174494, 765.79251023704853, 766.2282514739544, 766.60708773664749, 768.38590080879646, 769.74841781098212, 769.93891140076732, 769.96294922662753, 770.52625549251945, 772.35538590926603, 772.59917754418871, 774.7462713899049, 774.8474655865117, 774.93054555311267, 776.16672742953608, 776.80738882510309, 777.83814936041517, 778.72317988283123, 779.54518204230919, 780.06941089927852, 781.08682502087947, 781.12119808941452, 783.62260786674346, 785.28870274475776, 785.41385042460684, 789.35143104737574, 790.09452459542069, 791.57848914741078, 792.3119418934815, 793.68580462684042, 794.01365785275493, 794.11392297804889, 794.86565353062565, 796.55145535074416, 797.81431450322293, 798.21047017991486, 798.60700070625569, 798.72794498711198, 801.41166404153978, 801.85267574675493, 802.32775311547095, 802.41247847518764, 803.48415655680151, 804.88714067871672, 805.21092336944935, 805.91370331645521, 806.80121964721559, 810.57576118457894, 810.99116088184007, 811.3271630103385, 811.44049830994788, 815.14428057565419, 815.70692863044428, 818.34895637310137, 818.79559415504968, 819.10448544433257, 819.98301701807588, 820.54761967416812, 821.22290212832434, 822.80287048262858, 822.92685032868906, 823.61531909189819, 823.99181555074426, 825.07782897369339, 825.29372461364255, 826.46518191219832, 826.97876060187434, 828.81858933237618, 829.645697587428, 830.29820256753999, 830.68182542587772, 832.64947815122753, 833.17241407458664, 833.30371106177518, 833.5651000668189, 834.37619417158351, 837.68692755021391, 837.8570047558178, 838.03155081348859, 838.44925277273614, 839.95820333596248, 840.94910577043561, 843.14910918054602, 843.33191304967374, 847.88120356745947, 848.08922332865677, 848.40913735725496, 848.48682327427014, 849.55087452969735, 849.79615614006184, 849.98528288452496, 850.3648273408055, 850.99244596534845, 852.05002559381171, 852.26537334470322, 852.38823535246195, 853.39052211525279, 854.41359291669664, 856.4789928747789, 858.09150232727143, 858.52793892020009, 859.13393057559756, 859.93495314084032, 861.2189748119257, 862.03420478322619, 862.229645808697, 862.48639439834278, 862.62855904204991, 862.79111548118783, 864.65798604496797, 865.62528767086633, 865.79104486887252, 866.26094769598899, 868.34774214286608, 869.06763990680258, 869.41837055023018, 870.20875290430172, 870.49129263543614, 871.13198071497311, 871.38409077580013, 871.43392054368508, 871.71565532737918, 871.75292003661366, 872.16781245216202, 873.23313738070817, 873.59623026472912, 874.0171310195667, 874.65815390928788, 878.66427622546553, 879.02446751476498, 881.30777260465811, 882.81689868112028, 885.29246193444499, 887.12965949040597, 887.89152760329375, 888.49963693907159, 889.45741702973442, 890.2376198928331, 890.70660767397248, 891.61719827145578, 891.69052440444727, 891.93727532432808, 892.74421868636307, 894.42458533037404, 896.49586588637874, 898.21696481083563, 903.2052252924276, 904.03063999707263, 904.51444756628484, 905.43508198734594, 906.42879515396078, 906.5013052774591, 906.68077164352553, 908.216656126065, 910.73505706740468, 912.0384043668887, 914.14931404770437, 914.91503120265907, 916.21370784339194, 917.27808998432261, 918.65868561346883, 919.22887327401509, 920.1398278256587, 920.28317117376673, 922.03846715164798, 922.69284647868051, 923.31249850149766, 924.6710917730851, 928.77539359584352, 930.2148514144659, 930.70038426928045, 932.96530037787579, 933.02008321902679, 935.49594048842187, 935.73818349329213, 936.38753119179057, 936.8097661485898, 936.89868405828747, 938.63393595211187, 939.13255284104298, 939.8154465831667, 940.00703491526178, 940.27300888940124, 943.23168052306835, 944.10052194864716, 945.92154491168071, 946.10888981086919, 947.38197865379402, 948.02297875571355, 948.64552374515176, 955.21755361592056, 955.536798392572, 956.02409236791141, 956.44571528063534, 956.87619830428969, 957.73781644657265, 959.15152938455935, 959.94955137479928, 960.92279663529644, 961.80595608629619, 963.14317171873131, 963.66444341071156, 964.38048253582497, 965.10467196100399, 965.13857497959111, 967.39003072702974, 968.17807820781343, 968.77434946671929, 973.00705444160428, 975.61721025082829, 976.79495093228786, 978.2602226979543, 978.74742575544303, 979.13075595778173, 979.3077481352268, 979.82003835137039, 980.42057413350733, 985.43466431825505, 986.99904936239614, 989.93908276236414, 991.27326646575773, 992.28358804786535, 992.3800340158316, 993.97912696704236, 995.30764045105298, 995.5057232829646, 996.14974342391065, 996.34950501170135, 997.0494428075109, 1001.1031548956695]),array([23.647195714842795, 26.280308861370823, 26.532338912182926, 26.651796228591717, 26.952870496111139, 27.733856468912073, 28.137146774958349, 28.701419547492822, 29.160281653879405, 29.468700004145475, 33.723585869130751, 34.278966260081511, 34.489160142039943, 35.448219147054388, 37.331546545991444, 37.633182628729109, 37.834376754297324, 39.351369872482444, 39.757379577458671, 39.926789523969916, 40.219098323221736, 40.561095172109376, 41.052349848828698, 42.852408075102367, 44.276656943993274, 45.264730338997133, 45.414041469377636, 45.894813719111475, 46.495260654052991, 47.101890521808521, 53.329371475738583, 54.264969193289943, 54.502993205407044, 54.679869797690948, 56.45471929948544, 56.581060242604146, 61.733370757539795, 63.463482228556217, 64.269291001193267, 66.190191831119037, 67.226913041834038, 68.090048883158389, 68.201769344693389, 68.380445269361658, 68.443073764033656, 68.690538616151528, 70.359934388077818, 73.141707097879646, 73.242615684688758, 75.477127221738002, 77.832990824862122, 79.34421298629907, 80.126111305693215, 80.452024303417389, 80.707907324180752, 80.982888816075729, 82.094751204456955, 83.765471685188203, 83.873725898164665, 84.824478529938929, 85.453044763611885, 86.307456345972085, 86.956570643427639, 87.392153700613349, 88.196606409064387, 88.954680794124755, 89.821440158940661, 90.100365255163837, 92.621493496024314, 93.420669900409109, 93.830140638038401, 95.087443899298393, 95.982334003540174, 97.084321575639237, 97.546104930357018, 98.236322326597474, 98.839966621062942, 98.98504884510217, 99.573554372850424, 100.56562629634438, 101.2393141156692, 102.88107197297258, 103.80601853540757, 103.92883349054466, 104.18208089078318, 104.65630944051354, 105.463398934734, 106.01217596268, 106.20428049568584, 106.38451086823905, 107.22872244931874, 107.81375278770079, 108.10593975045313, 110.51616582007344, 111.72428480270123, 112.25116266120889, 112.75003253869056, 112.7858899805813, 113.55058556697686, 114.50754609983429, 114.86830412838019, 115.14450730064421, 115.89999978541043, 116.38859034520721, 117.76941094103671, 118.16590260849696, 118.62241894037986, 119.39043555891521, 119.67371591248087, 120.49430252354308, 120.60745817387442, 122.59332653994046, 123.13353788658412, 123.85854611336116, 123.89344479383952, 125.63012507174531, 128.15263938192876, 129.46484338784785, 129.74419355846879, 134.20244675449422, 134.22688983263797, 135.31220863014167, 135.95406774783666, 138.76973645586799, 138.79929751364574, 139.12863366311828, 139.80138427417461, 140.35777351889556, 140.6390688487088, 140.94647254373913, 141.68605888263122, 143.0539736036784, 143.79835108851324, 144.50536673341514, 144.90574375268451, 145.53001426880303, 146.5948880015122, 146.77611750783879, 147.06412640850451, 147.63216506976278, 148.38819113093669, 149.59164121250359, 153.13426650149444, 154.32455913203009, 155.46778821424857, 157.34299640800063, 157.52576268225886, 157.68181727463815, 158.16371478753803, 158.79964859297533, 159.57819536733535, 160.48975678709635, 161.02407738434647, 161.53765676864703, 161.67929696348415, 163.25973146516492, 163.50125573362635, 164.17756843400622, 164.34829503948995, 165.41707394822282, 165.85592219773466, 165.94179873906114, 167.42048542732573, 169.63811939515844, 171.1477178939796, 173.94069252421184, 174.02429843967877, 174.28060773026948, 177.56360407268173, 178.47571389240017, 179.35434843863638, 180.81025819138003, 182.82336411267988, 183.46512507035413, 183.56450019647269, 184.35159573228233, 185.66888381205365, 186.64333686148672, 188.43401391051623, 188.8442261557046, 190.05454949193489, 190.4445766933768, 190.47729034463163, 190.94612601153969, 191.30960679849034, 191.46972461239483, 192.38988391386812, 192.68616273779409, 192.74575388552688, 194.80547855865962, 195.1663169668503, 196.22972326299634, 196.63974718170454, 196.80296460124273, 199.68244591297338, 200.5947777715032, 201.10507781042048, 201.93356783931731, 204.62608889060999, 205.3944448088678, 205.99675020910792, 206.18994694985685, 206.40853796494321, 206.80719413298019, 208.68887947545417, 208.88393963605199, 209.22757847582315, 213.04346031927602, 213.36918313303201, 215.16329710976791, 215.63276982531809, 219.80747512877451, 220.83019107595283, 224.20696096306926, 225.8563167781804, 226.02901274866718, 226.50908585084341, 226.903383237474, 228.03223582735603, 228.97590033959457, 229.60361753617329, 229.66974290773626, 232.55087247400755, 233.57148990667014, 233.68827351395225, 235.09722470654333, 236.86545815985212, 237.17795973404549, 240.67566702011339, 240.84049227571808, 242.02688601250514, 243.8653160788763, 245.21996023610697, 245.42380693491563, 245.86407195612941, 246.41803578077258, 247.27427800649414, 247.36048382444949, 247.76734470318522, 250.39306890638878, 250.72640549633363, 251.14438663138904, 251.54320231274869, 254.02467416039971, 254.81345162177973, 254.91233732683051, 255.56564411313377, 256.07324368734089, 256.46808718676482, 257.48269629709318, 258.97094649944256, 259.99645476851651, 261.64822414304433, 266.13230490401855, 266.50104071646001, 268.51155872407924, 269.02923303386859, 270.62215944835941, 271.61706526637238, 272.50847143208955, 273.28135605333182, 273.9488015986521, 274.27764416896463, 275.41109214365764, 275.44352652332822, 277.39089865162066, 279.2212810220712, 279.51796133287542, 279.74588998456841, 281.98676889178665, 282.59242643289332, 282.94798815165524, 283.47187277265112, 283.70770743270094, 284.03895318369354, 284.50389343298718, 284.88819423330023, 285.54388277686189, 286.38455087499187, 288.7691837371342, 289.20434922009895, 289.26264832288194, 289.73716200797833, 290.70171188711726, 293.10359860098725, 293.23873605525631, 293.32143976888375, 294.0200504013834, 296.15600618611251, 296.20458281371583, 298.58201639422612, 298.79140849100042, 299.15204222020077, 299.71550799502694, 299.76926327573085, 301.0471186489591, 302.0793203539763, 302.32599447041122, 302.56222714692768, 302.63138059217835, 303.31218735038385, 303.88835822024924, 304.42295557300793, 304.55415304276664, 305.28202447343955, 307.32697239573213, 307.82197719641846, 308.66496111820459, 309.12712456326159, 310.18444245855682, 311.05098614749642, 312.46325415505578, 314.69132235706235, 314.71522264310016, 315.80832659876523, 317.73205295252222, 319.93664854701399, 320.09596389727938, 321.3154938978779, 324.36799383808818, 327.08634605300523, 327.22640595156201, 327.74228867725589, 328.11249148230758, 328.53170105576618, 328.96466044275445, 330.15685804625997, 330.56548637671477, 331.458972555863, 332.12544433860432, 332.60844893314334, 333.28426973374536, 334.74305094777117, 336.21287895756814, 336.73246762066509, 336.77501927681448, 338.55337492587688, 339.05285228190775, 340.93434630626018, 341.28915108674477, 341.39924441830584, 342.83048030140577, 343.40614054690155, 348.06328601141257, 350.26490593388576, 351.93356146145373, 353.00954588376658, 354.27671504861246, 354.58438053148473, 355.03890106465258, 355.08511468165665, 355.23267865579487, 356.61641952007659, 362.30234173850613, 363.1062511502725, 364.04346313507477, 364.5040489043007, 365.84848081547534, 366.25276436993812, 366.81627255118508, 366.86514866450847, 366.9530714283469, 367.7594740719141, 367.82747792990938, 367.94198172828141, 370.0924099937688, 371.44317021477002, 371.59758514627498, 372.41272411579286, 373.93356951092949, 375.95923796956447, 376.91397321558293, 377.11967913478782, 378.31655074210499, 379.24006173026481, 386.22638427802076, 386.35905577112584, 387.53752833667306, 388.57265513778708, 388.6957971470689, 389.07035970379485, 390.09370987015257, 391.17149050593662, 391.33171726552825, 392.66265476978253, 393.01747582933905, 393.43907812050384, 395.42103562437541, 395.74695141672231, 395.92057443087469, 396.29686931911806, 396.62775952196546, 397.46796178889059, 397.80611384402681, 399.38602041629611, 404.90463489361957, 405.16854243886081, 406.11695612212566, 407.11468431406183, 408.55391267575834, 410.34150618751426, 410.53588867483461, 411.51614070854237, 413.20764807909194, 415.44740137492568, 415.62988317444587, 416.69070384780269, 417.6132757508953, 418.17406422220785, 418.33687025262958, 418.54068004857356, 418.66875916158659, 418.87324974622709, 421.37745706192288, 421.66408795930283, 421.86481381978638, 422.91869021838079, 424.94950608450608, 426.8766938092146, 426.93697484477508, 428.28734906896364, 428.36803242245247, 429.85630292243485, 430.64312981977287, 430.96867977926888, 431.45246122499378, 432.04540079341859, 434.79445160574443, 435.67756672560125, 436.65683471441491, 436.77039769980348, 437.69779296883149, 438.21997507095347, 438.75958134938952, 439.10692581767614, 443.7091020712071, 444.12214649972896, 445.69439462828183, 446.08756402764186, 446.49105183291465, 448.16450268721553, 448.76755374476193, 450.82429413006878, 451.75896325548302, 452.10134435408298, 452.75977822059139, 456.90451086731878, 457.87589190601409, 458.33909191766145, 458.40718764951197, 460.06510421103258, 460.10320952678006, 462.66421519123344, 464.0889831572652, 468.04744888613408, 469.09188166091911, 472.02470309616803, 476.90448830335686, 477.47774231701408, 480.34965590461388, 481.28472318992596, 483.73077487354266, 485.84185405774224, 486.48898530089139, 487.61417768921865, 487.67752538983075, 490.10489581938987, 493.2543853329924, 494.32286946148065, 494.36616687302575, 494.50820604253323, 494.55307059830426, 496.22607172514802, 496.25736677364984, 496.2910101411411, 496.45789154720933, 496.57780244858668, 497.70868506856993, 498.70993917116704, 499.90795825896191, 500.00358666738623, 501.52518480935771, 502.23232502832718, 502.77060209026507, 504.04470119452537, 505.70219327522648, 506.57627354212667, 506.79187322571198, 506.81563161828296, 508.09037073967716, 508.39459085559588, 508.54668456452976, 509.62069468148354, 512.09525769657898, 512.88419098295049, 513.26330708909688, 513.28854497326688, 513.49061893382884, 514.18997351223095, 514.3944124733664, 514.91260104368155, 515.52485844225873, 516.14098027098873, 517.3596672368916, 517.64450518508852, 518.42088003057927, 518.71024266612358, 518.91341306482923, 518.93774862608984, 519.05845717045759, 520.44305425023776, 520.57838388462858, 521.84474450673792, 522.08343568550254, 522.70481342110736, 523.54359568467589, 523.58642911933259, 524.19066029494445, 524.27615567219141, 525.48103426857347, 525.69179853246283, 526.44973258549078, 528.27517596739699, 528.68513161740827, 530.01639219514823, 530.38315962825538, 530.61793742882764, 536.27739959299026, 536.95409892503642, 538.80053446796308, 542.11786633965482, 544.61400484272792, 546.69294119412586, 548.75515126026414, 550.11221658293789, 551.83059070952379, 554.86500123137148, 556.90634223254688, 556.97527074315985, 557.31657861374242, 557.98682176810962, 558.52376340453577, 559.35962266922422, 560.01082612365178, 560.74550387947443, 561.18698518274471, 561.29854273841238, 562.20889109555185, 563.14773494651365, 566.80055971324271, 566.85118753128506, 568.99291873490165, 570.40507834106529, 570.57057013273857, 571.11272586865687, 573.33159781266954, 573.47594430953131, 573.51680466724736, 574.05930691774677, 574.65790507781878, 576.93960430426159, 578.53025403844617, 579.20844646316186, 580.1419455005049, 582.25979047328246, 583.61822340000731, 584.02607390630396, 587.1355794399152, 587.69745930493139, 588.05310251975516, 589.86160314818994, 590.83765172248752, 591.84968806598852, 594.84146620845434, 594.93951950906853, 595.93479211941656, 597.78016552765484, 598.79021916335068, 599.11435374992288, 600.52883967934724, 600.95668151406755, 601.0574054594199, 601.33141241215674, 602.12324471893987, 602.30709937880169, 603.33131802728644, 603.61801624659608, 605.26165729320053, 605.85055616809416, 605.9831830875371, 606.37797057793921, 607.56676266797638, 608.15315825631399, 608.2021006374523, 608.28502338871647, 608.43523849912685, 609.04451379904083, 609.96378497455839, 611.3498338561534, 612.48761659094509, 613.29861525086699, 614.23600504553042, 619.02692426396595, 619.38852724461094, 619.71594697810485, 619.93471633234162, 622.7146816715366, 623.70000525620924, 627.03509057613235, 627.08583431690079, 628.67989373774594, 629.28968101510497, 629.48963540515604, 630.46139393506974, 633.63380628623054, 634.21336707406272, 634.81395924311028, 635.04246544101727, 636.95921009235553, 638.09173239261452, 638.37280809257334, 638.50515599967639, 644.02244654724723, 644.78554743849713, 647.3732717884252, 648.23608461723018, 649.94954132518569, 652.90486003840579, 653.00200687230699, 654.47930846620193, 658.86120827853028, 659.1502331112564, 661.20524772451529, 662.48770182755732, 662.86638299263393, 663.33470902775969, 663.44984111224824, 665.98053153737681, 666.24813094042645, 667.26615093389262, 673.71473880968085, 673.90460197014988, 674.31184620816157, 674.58930106257969, 676.15018526884455, 676.59616457897869, 678.28915304867508, 679.69366798773763, 679.8055782824963, 681.01721179626577, 681.30269644538794, 681.72889830809777, 681.90804124000863, 682.34130929066328, 682.5540020159425, 684.30175304214538, 684.41521028910643, 684.57178991363571, 687.5993426977883, 688.75810020860217, 688.82433576767278, 689.05213966000588, 691.66449488158628, 691.99662530281819, 692.02385631179641, 693.28870470171819, 693.9779661693542, 694.64729790420245, 695.2810435391051, 696.81186528812179, 697.50613365694255, 697.60914629354363, 700.05627151628948, 700.39779507336084, 701.83057288523753, 703.88678322643489, 704.1436100721686, 704.26759944187029, 704.89578012235802, 705.7593295323959, 705.90038247650784, 705.95489390791511, 707.15303282856212, 707.19636231823392, 708.08930023964342, 708.58955690144739, 710.25010240626057, 710.75197501109983, 712.62950429063812, 713.07212684409888, 713.37206844691229, 714.44131584949446, 715.88561962476331, 716.17070835215134, 717.9587887055261, 720.69223282166263, 725.13239640040558, 725.53727766032182, 727.01170323834947, 728.48100053429164, 730.76037352351148, 731.91848873727997, 732.93670499205484, 734.90578788006951, 735.53452290274413, 736.76600595162722, 739.8274504406919, 740.32146402785065, 741.41420313486117, 741.64530064029566, 744.06488815769603, 744.37965437993137, 745.08177320140067, 745.47443415882424, 746.06042447044274, 746.52507154048294, 748.51897966938088, 749.10891239969317, 749.19195443285355, 749.47433973629813, 749.68398578083713, 750.32713139283089, 750.52694527386893, 750.79626117139071, 751.32416656954706, 751.55159937171015, 752.47085186548395, 752.64464984368817, 752.75202947475452, 753.20457420097387, 753.76030050453937, 754.30606030791967, 755.85356767224721, 756.81030107233721, 757.76382302000934, 758.02738748061392, 759.24166934265429, 759.70946681382122, 760.63965127237009, 760.77956031680833, 760.82138427203961, 762.42904347514832, 762.71256913636671, 762.75692306527299, 762.86248883933808, 762.93367859478337, 765.16738384955045, 766.55547483632779, 767.41897654602644, 771.17961910757163, 771.73050105980224, 773.82722748102253, 774.42858375847425, 775.07120747797489, 775.66193489786701, 779.31761543504217, 779.99854996268448, 780.30065641326064, 783.20381977772183, 784.70032545937659, 785.59695175034722, 785.96454815666743, 786.73909041632248, 789.07664880414234, 789.11096394337517, 789.6315276092995, 789.81160960449461, 790.22398336402171, 790.78797830489179, 792.0269147994394, 792.95929780632798, 793.26253257211715, 795.57211375180896, 795.83761388158314, 796.87065036735021, 798.18944426620965, 798.24673612385129, 800.19914458804431, 800.25434832167196, 800.27944366915358, 800.47591420482854, 800.53251022510869, 801.97702850074768, 803.69729424356501, 803.95481678035014, 804.01438710785442, 806.66991736199316, 812.06083297656244, 814.67197839141068, 814.7225767987477, 816.05053336221761, 818.8072866917239, 819.56495973008271, 819.84961381461721, 819.97997870290783, 820.96135670934109, 821.83383724735984, 824.00308945459449, 825.70459647841847, 829.92507822114487, 830.92150970469163, 835.07184501000336, 835.4086592207052, 835.70664780367281, 836.77783345801083, 838.43217025190984, 840.2626776132231, 841.05378003802684, 841.34452820524109, 843.03218424559964, 843.05848437738462, 843.69886941183563, 843.84042616657359, 844.27145209912044, 844.789669633887, 844.89357519020746, 845.06995659291204, 846.13603757109456, 846.93198672434539, 847.22538887625717, 847.480620716624, 848.94203326435138, 848.9940570853388, 849.27001054016716, 850.62754281529908, 851.9790774130181, 852.75768389386747, 853.66677001931419, 854.41949859362092, 855.210243597871, 855.28376594224346, 855.93452951511597, 856.30578506961683, 856.67111138490282, 857.29448410603914, 858.14052452925773, 860.17527266949457, 860.83674128601444, 862.24073340542634, 864.38247911398764, 867.39325967881302, 868.18856314895595, 868.21618016808611, 869.15890007243058, 869.50799071730091, 871.13799427919434, 871.42382574533281, 872.67508307976891, 873.41525002167634, 875.92030093432788, 875.96224118328905, 876.36981514490674, 876.4696725617647, 877.21812954182008, 878.96567712667911, 881.03979799331398, 881.44261391460282, 882.42664267888836, 882.85107440520562, 885.05756062629723, 886.63224383317856, 887.47794585714826, 887.8072688770751, 888.21657431723463, 888.73269423427712, 889.39962659012235, 890.92654549285123, 892.83294486553314, 893.95382839928197, 894.4971142953965, 894.74749371366772, 894.81843474844948, 895.31851254808419, 896.25045220762638, 897.29068160918223, 897.52209644567415, 897.79681751061617, 899.035137765493, 903.33990440551167, 904.16306048935883, 905.21720535270879, 905.32176438926649, 905.64001308147033, 906.47108579497046, 906.66469425289586, 906.78420723999488, 907.31419914666253, 908.25878049049925, 908.5741078589158, 909.5148584122694, 909.58060703388026, 909.8256142482461, 910.33156321197237, 912.20520750047308, 918.10791798154844, 920.05254660694538, 920.53208695865328, 922.08039469917708, 924.24595733562751, 924.42304401510739, 924.96399569247819, 926.65335711597038, 928.7355140622127, 928.82023574650782, 929.22638883686113, 929.5764950268092, 932.11597062027806, 932.63310756041869, 933.4513858313195, 933.67583975073194, 935.17972670635231, 935.74449933347728, 936.27893355556, 936.33429932027082, 938.12978065140533, 939.96644119263817, 940.26032058992359, 941.28736673667561, 941.58058474649306, 944.04257483781998, 944.84548257973756, 945.35840606718466, 945.95154929405123, 946.74777116741382, 947.85874066772521, 949.65807149572299, 950.72604041188583, 951.42565126853606, 954.29436676445027, 955.55877449935554, 956.40152606961908, 956.87575952589486, 960.47620597407001, 961.04302693625527, 961.50500016163926, 961.89565575224026, 962.4690955241108, 963.06506550953191, 963.42292280622883, 963.65045076287606, 963.75775124622794, 963.88638461860637, 966.30357422345037, 966.7606507552598, 968.75263472511028, 970.9654826938704, 970.98701468257298, 971.54641138233774, 972.65610150173893, 974.6409724586531, 976.29138503318461, 976.44416623545408, 976.5050900224802, 977.22308341224175, 977.41569941675994, 978.54152915416535, 979.69734369688808, 982.70655059528542, 983.63428429871271, 984.21398324848485, 984.99602187426547, 986.39579984162015, 986.80075621632545, 988.70520351874279, 988.81618847719153, 988.85853681023525, 989.01940889653224, 990.45107687489929, 990.70482836238239, 991.07614533960168, 991.19185435253223, 991.63703970484153, 992.44758156949479, 995.30836112337045, 995.56869776598762, 996.12152751760959, 996.5498742851164, 998.38018674440013, 999.07896483846753, 999.13582410931724, 1003.0213257567086]),array([93.285312319403772, 94.072075136659876, 95.33118774902546, 96.066014462164418, 98.425674874866402, 99.576799657178142, 101.161591859772, 102.17633283275916, 103.75558357107806, 105.07007516470999, 105.31728739782869, 105.34545637129789, 106.09496816348356, 106.55970863331864, 108.38983388519796, 109.06229596234388, 109.79807446822304, 111.42002255699808, 114.46949944473199, 114.70760385069805, 115.12770725862973, 117.97919056656789, 118.95733524960822, 122.43981102738643, 122.62178262451617, 122.87940532935512, 123.65277706388369, 124.41902294369729, 125.49546741355547, 126.9156864636508, 127.16467113185439, 127.30942025553647, 128.17652888259443, 128.66056783974443, 128.85060660496066, 128.9684136228295, 128.9950371845465, 131.40609629825036, 133.29793915548663, 134.34831528054568, 134.46921001298654, 135.24655484026684, 135.53827375941853, 135.57009122636089, 137.22586486846382, 139.40445002940689, 139.52180093175554, 139.90298047671058, 139.9913524733044, 140.23434974237574, 141.4759396447684, 141.81580817353944, 141.89876646428985, 144.03228202586055, 144.10079940180759, 144.12425728062055, 145.71500957779131, 146.02198151375933, 146.0677625164511, 146.69535885778183, 147.10607714042393, 147.55931797780804, 147.76139281161343, 150.46157023682599, 151.68251527482286, 154.13140175766412, 155.82739780612633, 157.43747103949852, 157.88703798381979, 159.23195065962074, 159.56968952835396, 159.63764281753319, 161.59025969138222, 161.87381588953875, 162.46575991744547, 162.78367015703535, 163.37577417488109, 164.66018995568007, 167.49377827961644, 169.23898472267337, 169.70660740009495, 170.14377785337362, 170.48785536401815, 171.31723621208698, 173.11474244206906, 173.97922978791723, 174.90489905558846, 175.9030807477433, 176.50418039995358, 177.9818704833647, 178.9900205644033, 179.12456473151275, 180.30054071748256, 181.59934012454704, 181.69960251428611, 182.47425850548797, 182.69289868623986, 183.88281405353356, 184.7760926817316, 185.15831255808112, 185.99746683338842, 186.07839282961717, 187.03275245100357, 187.88640573511748, 189.68792385500936, 191.93880219033542, 193.21389374611886, 193.39187253093246, 193.48805390840405, 194.56524802184649, 195.47879388473834, 195.55432369726921, 195.74676622810574, 195.99764488010499, 196.14980949416602, 196.49547505123809, 199.72953634042503, 201.33138703106027, 202.44649725425069, 202.88592298705549, 203.47403088633794, 203.7880373931074, 204.48492130068948, 205.32303881678126, 205.40124425380731, 208.05623108183184, 209.19523624201977, 210.64515077192559, 212.75815263463468, 213.04503868283805, 213.15178476398299, 213.35962028605968, 214.01946575465891, 216.14992686830442, 218.51789666390277, 219.18375767789058, 223.16134535231552, 223.56201800486932, 224.01110991692099, 225.22486408183474, 225.41310641101629, 225.45497570396697, 228.18382903209985, 229.07283454307841, 229.10085141423852, 230.32027296563874, 232.60459814946518, 234.13466763204329, 234.77982240897646, 234.81344797754085, 234.9940221822186, 235.83856768337122, 235.97422957001064, 236.70912412441029, 236.97286607381847, 237.29100898002295, 238.03756186936434, 238.94073130393983, 239.7172275344991, 240.30153193144724, 240.80624277960183, 243.60173009727689, 243.71273122314537, 243.98144692148205, 248.70506574806654, 249.95885987415008, 250.02397878387808, 250.30449496502521, 250.97003078617973, 251.71123314283685, 252.08136521987333, 252.98062885662083, 253.10043624165638, 255.04065408144007, 256.02898639264021, 256.40106563884194, 257.67263050345548, 258.50519750016247, 261.40752023523567, 261.50849078507736, 262.98324717880365, 264.51466207294209, 265.50890190463457, 265.90177557096274, 266.99077338592679, 267.23096474729175, 268.31123273182413, 269.55577215159042, 271.16809707560657, 271.20885128818003, 271.784382959521, 273.24764544406503, 274.44261501059356, 274.71809641152879, 275.46075748056768, 278.11240087058678, 279.53562084475175, 281.29342676349222, 281.46143909639227, 281.59938458472641, 282.23604099386154, 284.72980892552397, 285.00051976014049, 285.93088453583687, 286.67335999057497, 287.39013484338443, 287.64052314983064, 288.53295341467975, 290.54318622748349, 290.81872368107884, 291.8591810040927, 291.94178253187192, 291.96313911650776, 295.08302840493258, 297.69527178468468, 297.78202078226991, 297.89330774860514, 299.91425486177212, 301.30940793026889, 303.22974213129038, 304.35938343809784, 306.47000129772789, 307.8414928791758, 310.17036559527338, 310.87519657005902, 311.67597856015681, 312.18664600872984, 312.47698440362518, 312.61418896067914, 312.76900269742566, 317.49165827178501, 317.77844333520773, 318.1014565062552, 318.12397101196854, 318.61726142865137, 318.78071959675106, 319.16708005680618, 319.40199871489421, 319.97363576189275, 320.31951192684801, 320.34224763513322, 320.53875279132359, 322.18083061779981, 322.64060094422666, 322.73882916488628, 323.59330730775281, 325.08853038068639, 325.92100621208095, 326.07779291764831, 326.12913802175967, 329.41834621847391, 330.39310971617084, 330.61098344705096, 331.67833210052936, 332.12453877608789, 333.67607257752792, 333.82533982244718, 334.24211973057231, 336.51067194994516, 338.62005252833376, 338.96908704327825, 340.63198544116602, 341.09890798094443, 341.71690000635101, 342.3820466845583, 343.54485134720073, 344.17551712942003, 345.02672404514891, 348.21838455275525, 348.92914240902718, 349.63851370323374, 350.49524136539975, 350.91029058829878, 351.43686159503318, 351.50723218436184, 354.17485546088665, 354.44287181277332, 355.05926452775856, 355.40201230089696, 355.47061135007726, 357.51036688184621, 358.61516155087082, 364.50880155753129, 364.8030434772661, 365.52139288623897, 367.51644765287995, 368.89656415496597, 369.01331873665953, 369.25773723412664, 370.38702205576959, 370.67377522676702, 373.68113533171334, 373.99657323436776, 374.43891949141914, 375.44260579384661, 375.72722576061113, 376.36956854989421, 377.55501806270428, 378.39626678221873, 378.50031532991892, 379.0770678821707, 379.70052171433775, 380.64179761951584, 381.13436599773587, 381.99237114443798, 384.00840293887745, 384.73298858025822, 384.92223622912189, 386.37679984940388, 386.82896842664906, 387.34305627011889, 389.72198759981819, 390.32433944830655, 393.75286923445958, 394.65386629826651, 395.29633565470681, 397.40697900370225, 398.99810800648032, 400.49952857465553, 400.97647629949819, 401.47446352858776, 404.93785719533884, 405.55484737616104, 406.20581985786072, 406.42998824333921, 407.06189059866296, 408.89622300933013, 410.10263485658061, 411.93264234034723, 413.7605628098288, 414.20649932294748, 414.78621080583116, 415.79942956410207, 416.21339481317608, 418.75884836851196, 419.02002751213638, 421.35938968958379, 421.74189513234234, 422.03985474654729, 423.03524313506693, 425.78235945783155, 427.75882770028886, 428.02096702538807, 428.27133341952054, 428.46019809669082, 428.93357586931774, 430.90324425143814, 431.15276778448032, 432.96938507976523, 434.93036970760755, 435.15350099780568, 435.28487623055838, 435.51709702904196, 435.67601483373505, 435.94248666089283, 436.13977214669177, 438.35894718160085, 438.45582326739861, 438.83567409904776, 443.49108070790777, 444.54980120918793, 445.88744043589804, 448.587311730865, 452.97705552354648, 453.86283593871292, 457.83565149126576, 458.3250194582215, 459.29249277371133, 459.52366477330895, 461.12923639159197, 461.15910906831994, 461.38605861526952, 462.4407383745073, 464.56737239712777, 467.02264762545531, 467.50448069273335, 468.82212488237559, 469.16993918516368, 469.91182610171359, 471.91647621440359, 476.83825219658547, 481.03776452877486, 482.14868468647614, 482.78551170981331, 483.74010642912896, 484.20237224150037, 484.9405702682896, 485.07497074429659, 485.31941906373834, 487.93306457389656, 490.69266505105611, 490.72843611537991, 491.60294524214964, 492.55322357695849, 492.91424162601743, 495.01943746184475, 495.84792138891044, 497.26864310580891, 497.35345329536506, 497.97070869920202, 499.85945070860805, 500.61360928424892, 501.66694868969222, 502.63462767365678, 502.81992506408261, 503.30510556038269, 505.71302495293151, 505.80674615040272, 508.67930922123742, 508.99645002313741, 510.52707865687717, 511.88434462946572, 514.69074524863925, 514.86921725609091, 515.11386674154971, 515.80013916343557, 516.15389736505153, 518.99896859333774, 521.54863099039744, 522.14440778429935, 522.9918272296128, 523.16348105549878, 523.68259595232109, 523.81437148745943, 523.8886726456459, 524.12407332957309, 524.52659705732776, 526.32993308629716, 527.50495665909796, 527.65533488015888, 530.63112413718602, 530.94315978738223, 531.40035567434609, 532.8338098692434, 533.04059270746166, 536.590883339019, 537.02030634243442, 537.34203980821519, 539.2612239375012, 539.587533503798, 540.08398521211325, 540.19240586812805, 540.25144262565902, 540.33695959132979, 540.8074010654019, 541.3012026025832, 541.58609187408206, 542.27841111808777, 543.7739336003234, 543.94759741719372, 544.95219153822109, 545.29620432396894, 545.79646560979177, 546.57334115079493, 546.92242343208045, 548.6107227771497, 548.74827905974973, 548.88737189713754, 549.54284140391201, 549.95821630266266, 549.9796065086623, 551.69632529217677, 554.02652658724458, 554.81831088198885, 556.37831203204848, 558.4540778610118, 558.59661962563973, 559.54133467901431, 560.36662221917459, 562.08311026058504, 563.97087502496402, 564.97595559063166, 568.35873535960627, 568.67127171040454, 569.59324123973113, 570.6350098318444, 571.00992624743901, 571.03506734934103, 571.77400281295218, 572.40695432076882, 574.42073905646589, 575.81509402261543, 576.54681684674244, 577.72065451959952, 581.62065792287126, 581.97722941556935, 582.49597589167172, 582.54596541887929, 583.55343868915145, 584.04370893437419, 584.09795440230539, 584.67900633336069, 587.64156285469426, 588.44896721011673, 589.14408810103794, 590.92471429342413, 591.92559984389595, 592.02075342613557, 592.29556965383972, 593.41295523818098, 595.69180347786596, 595.90398319524957, 597.25225297530426, 598.02341334264895, 598.53032356994152, 601.99003972974481, 602.08124159082399, 602.57133979202649, 605.12221097373117, 606.23652687925494, 609.20373259942517, 610.85411336278639, 611.92309019614368, 612.09433499342856, 612.72016746584939, 613.55817069106922, 614.13919018237868, 617.05836251063681, 617.47701935771363, 619.52912872527043, 622.05952889502009, 623.58559807310564, 625.98980109280581, 626.12156737740872, 626.49755449415102, 628.02647769381122, 628.60664071594817, 629.08875397191537, 629.96227136509663, 630.18402249196777, 630.62847919781859, 631.01550010204971, 633.10898849957289, 634.75343942369761, 635.76756769082397, 637.13160787917263, 638.30823647523425, 639.21721620565347, 641.2197601506183, 642.68594186361361, 643.92599233320777, 645.16961232502831, 646.4479174874873, 648.7358193451405, 649.3140213306732, 649.61800478009775, 650.904542698461, 650.96475736194714, 654.43611050590528, 655.12967827262719, 655.94491735886788, 657.93358753994073, 659.51137529303548, 661.38508015752689, 661.45817691566651, 661.55965814482647, 662.14009693947503, 662.91820526202173, 663.96989930002701, 664.80497711939825, 664.90834226024106, 665.00528363802448, 665.34534503620978, 665.57593365939681, 666.16251608454695, 667.92607880873209, 668.05415936169982, 672.21160195609218, 673.17162482721642, 674.64196314833237, 675.11410132554897, 675.30025348988602, 676.040972051984, 679.25705969388378, 682.26543541160299, 682.50593204592349, 682.7346901060223, 682.87806398981388, 683.54686209535157, 683.60963669758667, 684.78262789518897, 688.65204406213888, 690.56229748750741, 692.47603687759397, 693.19813068189899, 693.26492873545988, 693.39389077764247, 694.26034323844124, 694.8014927815351, 695.69903020362767, 696.32571291848706, 697.37286670800211, 697.4169969558983, 697.68787712603353, 697.97848310781569, 698.25246565895748, 701.03207738881179, 701.21005937568964, 703.34164568826282, 703.75351944066563, 706.27159652665455, 706.52688168289887, 706.6832302890889, 708.33959342361231, 710.26247338339374, 711.29853441576495, 712.30920339796728, 712.37748291091179, 712.58557805441228, 712.62927222063684, 714.17445453565801, 715.32095665118879, 716.06241698229928, 717.10646701398605, 718.20977341078378, 719.03780585852041, 719.21521399334677, 720.96877533821657, 722.30055093286603, 722.73612787792706, 723.92147660489456, 727.12258888355086, 729.46393075715332, 729.79570809662494, 729.82694935398911, 733.42716653640207, 733.49610586131416, 734.45055106584812, 735.0494288640682, 735.5987352757918, 735.83759853429035, 736.87889354924914, 737.81433175973473, 739.20228154796416, 739.25273754559021, 739.38167585465669, 740.12385884822345, 740.16696532369451, 741.19812674112393, 743.44455824172542, 744.48622999306406, 744.51173227549145, 745.07641060014714, 745.45520449014441, 745.51453831537901, 745.64276945658514, 746.15518735370392, 746.73572233480797, 748.21099016090784, 748.56323907283138, 748.67039725131417, 749.94543872607528, 752.96670286048447, 753.09589204790973, 753.2175689657397, 754.38489353868397, 754.67707999388188, 755.16443252842794, 755.64467076893879, 757.41712579309296, 758.69692266027346, 759.67523452360672, 760.35205472918835, 760.62743320804566, 762.10438797399104, 766.54754429574166, 767.59692761040867, 770.30341507380513, 771.79662241019844, 772.4618098058246, 772.85493915694451, 773.13785907240231, 775.87296738668772, 776.30297768647858, 777.04359601656881, 779.69080267603579, 780.90874936583043, 781.80754980690119, 782.46414014779702, 782.61542727643746, 783.86693944252272, 784.1314609414859, 785.05065723522614, 785.2255156894355, 786.82501774497609, 787.49103951361064, 790.8966558351425, 791.14986304231979, 792.2376857268406, 792.27991975712973, 793.39367208075237, 795.02009496787161, 795.34545850240931, 795.3788096087668, 796.02717406580769, 797.38786663829865, 797.42710364833033, 798.06706630601786, 800.62418703085893, 801.1573244104502, 801.75093139507794, 802.41075567068935, 806.49874938316759, 806.55836437306198, 806.96982496939404, 807.24125651128054, 807.37500223428299, 808.33449901452047, 808.46909751171449, 808.50916220514875, 809.15519218366728, 811.04380776064613, 812.0820822865237, 813.43371561598326, 813.96713765758545, 816.67175242859082, 816.81684148489444, 816.87160804445568, 816.92839125221042, 817.30810608482284, 818.52483448196892, 819.52040017287652, 819.83286967167157, 821.98439806540921, 823.49374327484588, 824.5743671848943, 825.81088782209429, 826.61334772568625, 827.5514990432282, 827.85959888475179, 827.93306061141516, 828.69248065431179, 829.4488256236375, 832.06398027178318, 832.66273935143204, 832.72433544108833, 833.46819677644646, 835.6677474378514, 836.00838385791553, 838.5908343797721, 838.84446447807989, 840.90486440596226, 843.65669781991744, 844.21537281717463, 846.15913778905588, 846.49354163927433, 847.29616812439417, 847.65816129617292, 847.9052044766662, 848.03764609068776, 849.47050541393367, 850.51846815784063, 851.07925712226177, 851.87067301952447, 852.11419100783849, 852.3193362398024, 852.53169242806302, 853.34481874322103, 853.83589322876549, 857.14634481228381, 857.79277042293234, 865.50003746916502, 866.02698778988804, 866.6761732721892, 868.88407950687724, 868.95749249174389, 869.18900963055864, 869.53762949580971, 870.31033984904616, 871.70966126858855, 873.00091040756536, 873.09397168968019, 873.78384777774829, 875.76820481218181, 875.92580970342658, 876.55413000817578, 877.59634901765389, 878.10903380711886, 878.51271885726612, 879.87271675618967, 880.03942407017712, 880.17263387848368, 880.24685227905434, 883.26758393320245, 886.79155684125556, 886.83586866021994, 886.91266136886554, 887.05585262885256, 888.84367085805786, 889.17920827903708, 889.26131490554349, 890.54195445614755, 892.44007822851347, 892.63595186999407, 893.34296923197473, 894.06480958077395, 894.212592087345, 895.56188374952171, 897.28857349376528, 899.02237922255256, 899.37725393302276, 900.42909438158506, 902.87609987124802, 903.89085015070793, 907.45849828504731, 908.60758018059619, 908.96784782664247, 909.29333352654828, 909.3818335294352, 909.51055994574403, 910.17609108517183, 910.88646271675589, 911.63509802231795, 914.03989023248266, 914.62512129337256, 917.73305411333968, 918.03372431502112, 918.98497639159928, 919.17041171796916, 919.54904286596877, 920.62664101730002, 920.7991710196145, 921.05186210097781, 921.88138084424622, 922.3119352006006, 923.33622701087904, 928.06362902029684, 928.58259934651744, 929.60213623540039, 931.6769712820593, 934.59814360559812, 935.68688400919382, 937.51405049279595, 938.52343923022704, 939.4287064122135, 939.59608356855256, 941.19199378946394, 941.4503512214286, 942.80157041821349, 943.47937392219444, 943.59573094835105, 944.59528545331364, 947.85009243093714, 948.51421882994305, 948.96552612890355, 953.59582145705838, 954.6704564002622, 955.07038690583272, 955.2575990002864, 956.80552681437598, 958.32814513818403, 960.16797803947463, 962.02486257721398, 962.65331617700531, 963.35021429067672, 963.8375637498342, 965.58459480152135, 966.15031083356723, 968.03413976418346, 969.54533388562891, 969.83150137740881, 970.14620133869096, 971.08235861568801, 972.61174982919158, 975.69433738858015, 977.43649207810233, 979.20426008619086, 979.23303443467194, 980.27921977866674, 980.83836238250262, 981.17247472943279, 981.88304985417346, 983.52385256347873, 985.74839636283912, 985.95737558659198, 987.96307184348973, 988.62153488906597, 989.15256961638681, 989.4671300179765, 991.36714931258427, 994.19079195842835, 994.9156377541043, 996.96278469708727, 997.17160618104435, 997.1958076114114, 998.11111019681141, 998.65301198268855, 999.98562051072975, 1000.5184535270954]),array([12.423054013943469, 12.817513008506358, 13.446795271695416, 13.777305015425167, 13.97344114533065, 14.808387743123463, 15.209606522632615, 15.577734497980657, 16.091402635601415, 16.420466246072991, 17.076374373877023, 17.480839795071304, 18.070149083563081, 18.507305389211592, 19.021937960002695, 19.330439136333762, 19.51677442841196, 19.861819539402717, 21.664137574454934, 21.922602046555614, 23.154017924364304, 24.489536696163441, 24.551722971317922, 25.321754543619679, 29.102422135887796, 29.887614647579444, 32.814367628656704, 32.892493864777876, 33.039698130046581, 33.637273311295999, 33.725825348471481, 34.065511690889551, 35.660416388966055, 36.877297250339268, 37.443505652025081, 37.552811526561285, 38.348381027235007, 39.197061360916109, 40.058974503684446, 40.616011396041799, 42.279361336766961, 42.321094751252289, 42.794484785711191, 42.970913993913719, 43.291105170769583, 43.700218160708282, 43.781039324939641, 44.824928860515868, 45.926373646097737, 46.851462078322712, 48.428976763930592, 48.469116313213284, 49.377393036441788, 52.259713269518159, 52.865550774639914, 53.716331009657409, 55.523186749031979, 55.989866665589233, 62.236500371419091, 62.989064717397653, 63.270184555451195, 63.369143401357697, 63.701572611494811, 65.443260955980222, 67.350058114370668, 67.510089762766682, 68.296998216069397, 69.803664896542728, 71.13950874532415, 71.668939642399735, 77.959167449572192, 78.621432913329343, 78.821327271529242, 79.615224166597102, 80.135769186887927, 80.274831718732813, 81.056821130632343, 82.111156983734332, 83.583611294328819, 84.937576805169556, 85.611578568480752, 86.97133586683178, 87.986061471848032, 88.962149625014334, 89.875897185946712, 94.795764695097517, 94.870471625344592, 95.383419939751491, 95.936120023833155, 96.114690310783089, 97.139297270149711, 98.237714691930123, 98.619247226382697, 98.990533014862464, 99.888130947111719, 102.22595373288543, 102.32469779374696, 103.40206462477066, 103.44671560512221, 104.00295705141886, 105.43513383441193, 107.46632970423593, 107.55880234547739, 108.78084893218296, 109.01730666144978, 109.46266104165835, 110.69307634797302, 112.54689985192849, 112.63866182043334, 113.1111426282191, 113.75922495168082, 114.31384260984156, 114.71769322964832, 114.93615700879053, 115.68979878614654, 115.75620533645164, 116.74214693519301, 117.16014379141885, 117.88965484139354, 117.92100469502813, 118.45493713852701, 118.51258470032532, 119.22951760353969, 119.5930845188084, 123.15068170654546, 124.01474684529471, 125.44152781847376, 127.28996742629836, 127.63761914444405, 128.55833773860209, 128.66727993120799, 129.74993636861299, 130.51553608414571, 131.55232261573951, 131.69315342114695, 131.73354696887716, 133.34044021963422, 133.44791466602086, 133.49632717259416, 133.71558066114221, 134.25362490929874, 135.68467264498292, 135.82081159293986, 136.22214829408441, 136.46504241582815, 137.4565777590517, 138.83458518313734, 139.01301620161846, 139.91662035961295, 140.02806903809116, 142.96750856383096, 143.04656153650981, 144.04659971040553, 144.19512015829051, 144.43141725464901, 145.45733843366031, 146.83992080640357, 148.54484169851267, 149.82190345377347, 151.1381394270839, 152.91019310825462, 153.5493562770391, 153.95289788709488, 155.60924539258059, 157.1185774281156, 157.62588246201221, 158.079320247987, 158.24085605138268, 158.63972836640659, 158.8443337385367, 160.22977776741237, 160.35046514738249, 160.65177402478511, 161.37525608300376, 161.62822041489207, 161.70880491244802, 162.64347103906653, 163.394794303814, 165.96658338651775, 166.43701782139476, 167.33043702762575, 175.04755927658346, 176.66500814415051, 180.19976847604124, 180.46706808405699, 180.62405728652314, 181.00537856377514, 181.14918298955098, 181.29925175981992, 181.68713129056263, 182.77688306225852, 183.58349811288753, 185.59370556502745, 187.67999076036165, 187.9762294263335, 190.41495038437532, 190.59606614445383, 191.55078883199701, 191.83602944660186, 194.48763116998327, 195.30741819724898, 196.06159858066729, 196.3237249422794, 199.46193197497448, 201.35464022820472, 203.02113598566896, 203.82034327300101, 203.94563440023634, 204.76710721472227, 204.83508041586452, 205.87897674198848, 207.28829214275197, 211.34409003805783, 213.60655288610835, 217.54919809996471, 217.88694712735474, 218.32014739967431, 218.34304141546309, 223.28024553841462, 224.64193358523394, 224.66943072687044, 225.72550498072877, 227.49137913975576, 227.57378306736945, 229.77294659443714, 230.79805210996651, 233.53481291872077, 233.58877622574386, 234.00250179821634, 234.516453508442, 234.72498169065707, 234.79882557616401, 235.66067451469789, 237.54644060450232, 239.9514071151539, 241.46198484448072, 241.69764697394129, 242.84602883852992, 244.34922122131687, 244.46996836543809, 245.10288400309514, 245.24305797994793, 248.22401220418493, 248.62830722482084, 250.58017132072112, 251.89209299324469, 252.50202869454907, 252.93938076516926, 254.2217633373391, 254.49359890176896, 255.15095965799944, 256.34028467021272, 256.78919480256553, 257.09499744646473, 257.98504823023779, 259.13018957550992, 260.62568878234492, 262.12599287574926, 262.55221824935154, 263.04896875117851, 264.30716081408229, 264.42438429432303, 265.78866541579725, 266.42516042125362, 266.52222452361224, 267.13743801457264, 269.38940677123958, 275.52977642865528, 276.25801434870232, 277.23692925088272, 280.72923127991891, 280.81572857908299, 281.93092839905552, 281.98430541756903, 282.02397916102427, 282.86982920291337, 283.06981286967647, 283.23841413465055, 285.70400932054434, 285.93397396059481, 286.26271592478952, 290.40817389910632, 292.25300044432885, 292.80545509087892, 293.07887020808164, 294.04835915502491, 296.13297647645663, 296.1530138775064, 296.92453828696193, 298.6018530609565, 300.7282023065286, 301.13571188344253, 304.22355564510616, 304.62487624203027, 305.06967936578297, 305.84389320760664, 306.02272243270357, 308.01294240024765, 309.02425245429151, 312.75462305737528, 315.05199625349229, 317.15491053825241, 318.52736440754211, 319.69358002988258, 320.41152970022995, 322.1975978955345, 325.79755329477388, 326.41053949309662, 326.59139492429728, 328.835679771466, 329.12337217788212, 331.66615866228727, 332.33944717773772, 332.63255555852891, 333.93405082138014, 334.38039592200084, 334.52048105106923, 335.50491003914578, 336.6961571648099, 337.22733433573489, 337.38791262067571, 337.98606652625034, 338.22621060180734, 338.54314804479174, 338.82796359589707, 339.55052455718078, 340.11541068060552, 340.63993160628894, 341.84816483871299, 343.22401894251425, 343.75031794623538, 344.14771651698982, 346.27900318179348, 346.46783748499388, 348.8819357590861, 349.34676033498454, 351.90496739124035, 352.47715095217285, 353.89926060162014, 354.84523884977921, 356.99256382595178, 357.19862308031043, 357.39158919370385, 357.82229794572447, 358.15959760754345, 358.9009159132674, 359.41436370898754, 360.30233889927871, 363.70211809417538, 364.12057288426843, 367.23302858053938, 370.82679851801583, 371.38319482430632, 371.44221305789182, 371.70641089099968, 373.52909258302503, 375.33992122475843, 379.86102509474813, 380.63300571492937, 381.87641564024045, 382.86107815143669, 383.01823406624442, 385.19928325602331, 385.84292410312554, 388.62448535421277, 388.81572369247067, 390.43602679799483, 390.53638709356392, 391.69762985876139, 392.1764228679022, 392.50020124272532, 393.49046153219672, 395.35103655429987, 396.51554693142521, 397.09685126214612, 397.75345277419467, 399.77281140650217, 401.47979704555087, 401.61643816389034, 401.8709393203855, 402.05169406961238, 402.07270331207729, 402.84257928144649, 403.06638801126485, 404.35830817007877, 406.10676013167625, 407.08575939394399, 407.98418266211985, 410.77499807174962, 410.96378418943857, 412.34118708868732, 412.79465586077595, 413.84449941429102, 417.10097127427088, 417.63410559643518, 419.81821526512454, 420.63521687375589, 421.2034910475428, 421.488274284733, 422.09176922254085, 422.24046049854707, 422.47158047123111, 424.31398676625344, 424.53551850284316, 424.65021579945017, 425.32497798403722, 425.3804515547983, 425.53955993659042, 426.71698287684302, 429.02300495999992, 429.71997616434044, 430.78529937560631, 432.79807160608948, 434.11758203693176, 434.88364421450478, 435.35209640552875, 436.71745519102217, 436.80071466806112, 439.70052707525753, 440.15359818448019, 440.87557387900375, 441.6076342806362, 442.60591994540857, 443.73848346904981, 446.61648164883485, 446.64664981148121, 447.46245816214275, 448.18671656240491, 451.79789486895709, 451.88529306867389, 452.17533589515949, 453.25992244774767, 454.02147183147855, 454.0755841342604, 455.01038809070423, 455.36040971108645, 456.82940649889275, 458.19169207217101, 458.41062186906083, 459.36561678259557, 460.0279773395647, 460.5761596083014, 460.65840323562327, 461.86613333029743, 463.05846567503346, 464.35745011634663, 464.68895701338931, 465.47135811743101, 466.86715816242713, 467.44767399305766, 467.83012743052689, 468.0297621293746, 468.65584285084969, 469.87355599809911, 470.64707926949768, 472.58905696151817, 474.59820851462752, 475.23781382193965, 477.96644598262014, 478.33530761562241, 478.91677067922535, 480.41658284781533, 481.34706011587724, 483.19298283536853, 488.16873458360089, 488.62966261985099, 489.64700808048593, 491.59660348864298, 492.92692749488975, 493.77286324121212, 495.02903010355266, 497.55852495380066, 499.50642633498074, 501.52703836480595, 501.70063853261087, 502.33475382052643, 502.36482883594522, 503.18849372800446, 504.43969812630786, 505.44853980043524, 505.74429471641713, 506.92896680586415, 509.48758367831505, 510.2704248791099, 510.56831105659802, 510.59062673646633, 511.29547872513689, 512.71333430445441, 514.00079704236134, 515.15890672133844, 515.28402140140656, 515.64659474139751, 516.43216607187526, 517.08947643846318, 518.21022072242158, 518.25049779356846, 519.08913480304807, 520.01289901326697, 522.55516541730913, 525.26242095697523, 525.54477177845502, 528.31004759627706, 528.34940065091519, 530.0052028772817, 530.79461623421412, 531.54021030363913, 535.3940490901748, 535.50851492199286, 535.55754053572412, 535.88357008537309, 535.97199728042767, 536.54173100594642, 537.59460997501924, 539.81701017703335, 542.82788626123852, 543.05590266174454, 543.67764492686024, 544.23370308670883, 546.19056793768505, 546.27176786835662, 546.3066840822853, 547.97809224122329, 548.87530899875094, 549.11331135276691, 549.46854765301555, 550.06087360921413, 550.27164587257869, 550.62954119979884, 550.6825841765982, 550.76489713774561, 553.527683758433, 553.87931422765701, 555.23038507864499, 555.69078212009538, 556.3736260621672, 557.07047905639183, 557.83867626293716, 557.94886583521418, 559.32944304387945, 559.87070479441036, 560.35759718130669, 561.29826167561293, 561.5045966501491, 563.12278102459743, 565.36271010905762, 567.15057516846809, 567.63229797669374, 567.77625763150684, 568.64368395328643, 569.6995936568286, 569.9561600508531, 570.04476850724211, 570.50901210807797, 570.6812607735925, 571.04470051354951, 571.90408257384809, 572.21928438894884, 572.39632094064382, 574.09783351446163, 574.23922340869194, 574.48595083247346, 576.2923499892687, 577.28231329625305, 577.97938823915354, 578.76598254260591, 578.97345508059914, 579.54483001031087, 579.73522712465956, 580.8299477561269, 583.70330143942226, 584.87414805333333, 586.58804339605626, 586.9585032415431, 587.16671843910001, 587.78569713336708, 590.84469070386831, 591.94447004743381, 592.00058389614207, 592.55222840641068, 593.3267045631585, 594.21325276618256, 594.55946056785569, 595.51760315276681, 595.83946915853937, 597.25719089361269, 597.99089318691153, 598.5491463450345, 598.89438382122239, 602.38679098077193, 605.44975257394356, 605.61834320543255, 606.0776029801691, 607.51077214529869, 607.55428247458565, 608.84760302255211, 609.37852102252452, 610.7724818682932, 611.96073663843981, 612.11549653152451, 612.98339699598637, 613.89310552471954, 616.00029891016777, 617.09802202889171, 617.26885758781452, 618.25436477058327, 619.84481431491201, 621.15106531108847, 621.53585541042401, 622.19204582740508, 625.01852637696777, 625.1308114256309, 625.6469409214709, 626.3436625651367, 626.59103308772353, 627.13397144461715, 627.27065350829855, 627.97974205711421, 629.27872634084486, 629.29961016428206, 630.17977915481333, 630.9123589132671, 631.24980661092695, 637.11814927201351, 638.4058398485754, 640.35830405741001, 643.77380566958379, 643.89601584203365, 644.39819856498286, 647.70684533064116, 648.08727618754585, 648.23902569088636, 648.69273064199945, 648.83576199593892, 649.89041599193888, 651.47908768881655, 652.51254749798966, 652.63613130749627, 655.38393324499759, 656.23276593278285, 656.42808269971874, 656.76973019880904, 657.08146150351547, 657.7380021516268, 659.23147933289533, 659.2885121576993, 659.40045828078098, 659.84967586437722, 661.49839864172304, 662.70869464898715, 663.17526049744959, 664.31102688670762, 664.36111624436353, 664.64153518877504, 665.19173294011068, 666.91017830968292, 667.67971265595463, 668.12115482166541, 668.42238878550768, 668.99473345974934, 669.41080290138962, 669.48034933430756, 669.54866641265119, 670.46297998714942, 670.7071170143862, 673.0169620222274, 674.28116412890097, 674.50687391341137, 674.97233001977941, 675.09048979602881, 676.41888542198126, 680.4433856668594, 680.72807729428644, 681.49548360281005, 682.27424755547361, 682.41433634527948, 683.86234893936614, 685.0766714676837, 685.45274492987755, 687.0157873513881, 687.24291284848471, 691.83485113112874, 694.52046519194482, 695.74138660765595, 696.17879290778626, 697.82628960887575, 699.98741680213084, 700.80728875347859, 701.44246411994357, 701.71435286643793, 702.349345264048, 702.41094280284756, 703.64444028332878, 704.18060050412055, 704.26927283510554, 704.33818986781193, 704.44846355270431, 704.51862089951726, 704.86330219914919, 708.48270185318154, 709.9113560818497, 709.94962540183644, 710.7339789870673, 711.59567499705986, 712.42373606005924, 713.52209736843008, 716.3046151616644, 716.48932116684955, 716.71684978076121, 717.08658830138859, 718.55928547621374, 720.36523160075581, 721.25966798905995, 726.47677510891072, 727.285737335965, 727.40176015000804, 730.88175644619139, 731.83895468887897, 734.44163274602249, 734.87041421410026, 738.76897679894489, 739.4587429845235, 739.93480347760203, 740.88781207144632, 741.01407499752452, 741.80329312276626, 744.56804213160194, 745.47776229302019, 748.12520761939641, 749.05855340130427, 749.57624551726622, 749.91107645908801, 751.00638102372329, 751.26751756346198, 752.80451132104804, 753.68283281719948, 754.48628967399645, 754.93124683603344, 756.14249990908002, 758.83931700261178, 758.95454836516069, 760.44389389017238, 761.25706666532471, 761.89699950235695, 762.12620983379543, 762.91809844600903, 763.65708247256964, 767.20775792831148, 768.89507842593969, 770.10890157709196, 770.95592296758264, 773.67041771957759, 774.45642637124593, 774.97279359419701, 775.18146550585288, 775.33770264478937, 776.44304840105144, 777.54287280446147, 778.2733338384752, 780.42267826571617, 782.80917113913574, 783.59332326568222, 784.40953948566744, 785.40192809325436, 785.78391822669391, 786.55000705910152, 786.92097873755461, 787.40972918081411, 787.72057304501448, 788.01253181033519, 789.36406046115349, 789.76855555299483, 790.31237212274721, 791.86155323221737, 792.82968194685043, 793.19379868937892, 793.32513227792981, 793.61392617963281, 795.37473302154081, 796.57691713606891, 796.8391495037506, 797.0441670772833, 797.32513919504379, 799.05734859680751, 799.57139758365486, 799.60053691038274, 799.69239963496466, 800.15350219730567, 800.72517757414994, 802.00579379515807, 802.46045932922561, 804.69400062298394, 805.53441065890524, 805.67291860496277, 807.1161834657587, 809.11912395253307, 809.53609131443216, 810.09656530777613, 814.28254592174085, 815.06912692619528, 816.53574052200906, 817.15186868714022, 817.47328191436679, 817.49885135544764, 817.54798662013434, 817.84576797736486, 821.98608547515335, 823.28265111561802, 823.64639059020976, 824.11449095306762, 826.06444122835683, 826.32858810486891, 827.27680639728226, 827.93367363520929, 828.48387655007321, 829.91436804453872, 831.1128504821404, 833.78095255968617, 834.10168087394652, 834.8365698038001, 838.02010710563241, 838.8457722927177, 838.86639890219465, 839.45339843579586, 840.42604206575743, 842.34212571347496, 843.28274167232235, 843.99809853070076, 844.0861629823695, 845.09089089069687, 845.92769242369957, 845.97236187527949, 846.43239320702651, 846.99365080755808, 848.13446105983326, 849.36861335929416, 850.29223934652191, 852.09310205039662, 852.73999494203622, 853.60364373259608, 854.28856935970009, 854.61990642255557, 855.66218830042544, 856.61396059044966, 857.18712759299603, 857.2935156334014, 857.55230345222708, 858.78739474303688, 860.82295805504566, 862.90723043188154, 863.15097356222407, 863.39092633590201, 868.41952873964146, 868.75897295293657, 869.97287449352473, 870.06537595854854, 871.94792573025222, 876.0290419066057, 876.45493846797638, 877.25866812576078, 878.87729523150654, 879.03842936689955, 879.93125137593415, 880.55681977846302, 882.2053303380676, 882.82240652829307, 886.4394548850612, 888.01870684576011, 889.15606025845693, 890.25511440357002, 891.20300652659341, 893.62589199268984, 894.77519694888167, 895.38294247499823, 896.57465634908749, 896.79718877671439, 897.03610026171737, 897.50206660709443, 898.17277703556056, 900.23070430094697, 900.82783491079954, 902.23441700479282, 903.13119745209235, 904.98637497775576, 905.21818687001155, 906.0231698863073, 906.11247844682464, 908.45252247320661, 909.03489347698201, 909.97209109054359, 913.35311988593412, 916.15341924363656, 916.41622276121871, 917.79227815089314, 918.79891314989572, 919.32817456374278, 919.86078482223945, 921.16673646824813, 922.54696792523259, 922.70453747700287, 923.02450680786421, 923.42388535156226, 924.05076754765741, 924.92969322467286, 925.07745720048911, 926.26102635217387, 927.40556897165027, 928.84476351307239, 929.39365437511026, 929.97278945613652, 932.38674963252402, 933.13500159142416, 933.97979349607169, 934.33346001244115, 934.83727178114407, 935.19277279411074, 935.33882973015204, 935.56429638887698, 938.00707923263826, 938.22466689163275, 940.12445308557687, 941.24422311278977, 942.25959314028808, 942.37348375987744, 946.84978543467059, 947.71341181414209, 947.92692770920507, 948.01889447616054, 948.5559518704498, 949.24094987749982, 949.54318412987482, 950.57777011508972, 952.26740945675965, 952.58324457124615, 953.01913029632351, 953.95140697605063, 955.51729697701376, 956.18938264728263, 956.40294877493329, 957.29609458908965, 957.5695498073627, 959.33738982620218, 960.79303708787586, 961.5182077029225, 964.95773945737517, 965.22467348799853, 966.29593778737649, 966.65688594774986, 967.79762782166893, 968.11463220642941, 969.04942526012144, 970.88451310451342, 971.45640536100996, 971.60107398381331, 971.99832014432218, 972.75799800769516, 973.85840430606891, 974.19046762715493, 974.91928313174617, 975.31193356715744, 975.57711260646204, 976.03993860876233, 976.2687569822441, 976.30226695748422, 977.5397239280644, 977.6310614351703, 978.17108945869154, 978.36160208150284, 978.45708336011182, 979.56395477786907, 979.71621609594558, 980.15433049855494, 983.81645180921475, 983.91297395863739, 984.72557792271039, 984.82199696289695, 985.83483518420803, 986.66801249524735, 987.44982704090933, 987.85253465643109, 988.08157045270298, 988.83690002385083, 988.85984919478722, 989.46368918070289, 990.31193482792571, 990.49229521516247, 990.58468021082444, 992.03855004863226, 992.20500618715403, 993.23341665119176, 993.52947603982545, 993.79630871122799, 994.8787593907557, 997.45966658212024, 997.71095994361451, 1001.3185799531198]),array([67.548508780972682, 71.488251381060834, 71.601949723448627, 73.255898557614927, 75.014737710399729, 75.11628876165318, 75.562191927948817, 76.161032359364214, 76.304445542464606, 76.849992626872591, 77.477357747883843, 78.051074789278971, 81.638407500928295, 82.232327381034395, 82.405207033960295, 83.982897968082383, 84.004021552893875, 84.690896991597128, 84.871993499911156, 85.462930210125847, 87.605178366233062, 89.565726351422981, 89.902862931644222, 90.066977643456099, 91.640526302190935, 91.86126291729235, 94.018368529669488, 94.590111561813217, 95.906631932541174, 96.837173974575066, 96.923195766803033, 97.022768201179886, 97.431105083805505, 97.593899755042486, 97.783703412817189, 100.55991598857014, 101.99042456097253, 103.59152311322471, 106.40159548982881, 107.03829841774227, 107.64764194497845, 107.69811353663037, 113.00595706487795, 116.38987703746579, 118.7938810269595, 118.88668569267665, 120.37005704105529, 120.58679205881924, 121.82380660165829, 123.06601653807043, 123.97881638556582, 124.36167144334939, 124.50792794762944, 124.95547399462474, 125.10345396412978, 126.44054763446741, 127.25821299324005, 127.62640007337627, 128.34093815204201, 129.90635426765343, 130.29476164779584, 132.17806596544213, 133.33590610616201, 133.44916436048334, 134.6371893374486, 134.68477920497884, 135.67391058346041, 135.97970770432721, 137.63377392086841, 138.65411946756674, 138.88283821075083, 139.24989816516791, 143.0273331727247, 148.20291043879342, 148.78705884539937, 149.16740395937146, 149.73569979917798, 152.6108184952007, 153.80365080691055, 155.89076924113868, 156.1623079923977, 156.26613831215298, 159.35776677668522, 161.92353232451663, 162.18943974947169, 163.20105669863588, 164.4723002535662, 164.83861320020435, 166.73347554126553, 167.21753966058952, 168.67336775931474, 168.96201461917673, 170.01497656457713, 170.10665377236467, 170.42116408377686, 170.74889981830049, 171.07652780380559, 174.84925132627296, 175.32113583012168, 175.47925473101668, 177.7425786240228, 178.12623551740384, 178.32471497051321, 178.63274185984909, 180.43979263312255, 180.80351626370634, 181.16587656382904, 181.74725014982451, 183.69629009834929, 184.22127887440641, 184.77412481492826, 187.10423813502828, 187.61868053315087, 189.12899566872252, 190.29175722178263, 190.77120257272813, 190.87237697049008, 191.11048055129064, 192.60187585132965, 194.41965035627524, 194.57283699877874, 196.19262028581986, 197.13474709350163, 197.42401624339703, 197.48157583463305, 198.36320636254891, 200.25057535077758, 201.14531761856784, 202.10116837263442, 202.37152570952654, 203.59339425850746, 203.61729733388802, 204.03944353840527, 204.36186980185073, 205.0513992450939, 205.5599129730939, 206.28554022511105, 207.03095775576378, 212.74691219592964, 213.27691723422581, 213.49013353637343, 215.72703821371448, 215.79997423167958, 216.50989202163282, 217.43855569750423, 217.47214483987023, 217.53371145371412, 218.09176962771014, 218.68019920317306, 219.58555855504503, 219.92675550688384, 221.94640092231836, 222.23683137558589, 224.43631790893147, 225.57555351735681, 226.10259396082841, 227.08790569753603, 227.11816332695119, 228.58063523479626, 230.0530436825637, 230.68596994918929, 230.85904143377067, 232.93533457053371, 233.22073376020552, 233.38487450778914, 234.10713291722132, 234.38643188636698, 238.54054427899865, 239.495765001602, 241.38047174814687, 243.99185941043973, 244.31155755310942, 247.33303796687568, 247.85204669658447, 248.72258928250503, 248.83364089593167, 249.07497649794857, 249.83411179716649, 250.79116647619279, 250.91367377885732, 251.21550402596711, 252.08319808920487, 252.9657250943269, 253.00667626981175, 254.37660875364898, 254.82513200784041, 255.02951360530827, 256.59241780211755, 256.99494462423695, 258.50185462380171, 258.69382038043813, 261.5344706560092, 263.29527802668815, 267.03035096374572, 267.86397421959924, 268.61263600653831, 270.02162824919498, 273.22973623191041, 273.65075341803038, 274.27178492061802, 277.12569523447883, 277.19983843323564, 277.40483843963352, 279.0817926166784, 280.5625282785166, 280.77261720787067, 281.57619773414604, 281.64494505877758, 282.65550003690532, 285.7856321354526, 286.35047878824645, 286.73870277629368, 287.42482367918177, 289.16180271118174, 289.7098535006769, 290.20713655566152, 294.55117183997271, 295.09481741854677, 296.86202811839178, 297.17663809333015, 300.19778498946573, 300.9793912386242, 301.15347324158648, 302.50318025514753, 304.50060290531059, 305.01325425254822, 306.51492674201637, 307.69913132995453, 308.6159991321058, 308.7379693867536, 310.17653820781612, 311.46881708202324, 312.8265642984216, 313.90380325598994, 314.34136606532024, 314.73900058842491, 316.11253800180316, 316.8577992315727, 317.44233832977488, 318.08741862821012, 318.53443378042238, 318.65941950988923, 320.3838580226813, 321.03617524200973, 322.49181819027825, 322.63417497241119, 325.41672013831487, 325.59501270310903, 326.53505689170089, 328.53668690649175, 328.63705913934547, 333.74600572484735, 334.52156814406351, 335.64170507087033, 338.2968212928115, 338.34069214119745, 339.8250862226684, 342.25453122982532, 342.80253514030875, 343.26295654807154, 345.16182106834293, 345.83455346407465, 349.81470001545893, 350.73055687681443, 351.74007484536179, 353.17592988312697, 355.45665775292309, 356.68571838898856, 358.48320988221059, 361.27788393694368, 363.0840878958964, 363.50719986561194, 365.97765597313401, 366.95701222748403, 368.63984314505603, 369.38195360911641, 369.94094263585771, 369.99009601870216, 370.12552900497678, 371.5192042632566, 372.08426020238102, 372.90823423180308, 374.32672105450541, 377.15785106629437, 378.10501340642361, 379.20734446360353, 379.91527313206353, 380.05274877140937, 380.43056412689458, 381.601166702444, 382.49508778619725, 385.66096004329535, 387.33689867393264, 389.01628613610342, 389.44537827178749, 389.94385448986912, 390.31134097529588, 391.21144576937138, 393.36802710848025, 393.44587253991068, 393.51753704593693, 394.02336867751023, 394.37769499236384, 396.84303059485489, 397.52123762403403, 399.47098833299253, 399.6038943919682, 400.92858611587093, 402.06927387349765, 402.35735046349703, 402.66175592132731, 404.92403868171084, 405.72592218258853, 408.14084144012588, 408.79141471030573, 409.83743015019814, 413.09374403053113, 414.98175876275235, 415.71346196967352, 416.68626450658121, 416.76822674585674, 418.11604754769235, 419.43922950861901, 419.92960310947808, 421.14394489747968, 421.22138106606434, 421.32815019585786, 423.25647041615525, 423.31549552321934, 424.19652148820376, 424.26282141787595, 424.41452642201818, 426.47539296655896, 429.00380349635725, 429.32119245019101, 429.55617958247933, 431.08080755249534, 431.28622616290141, 431.87294661553835, 432.23849428253493, 433.47249625109941, 435.43805382315287, 436.57748214227075, 437.15591379505673, 437.4071259843991, 437.83574814137478, 438.57676794953551, 438.95217157661915, 439.7521948720829, 440.52791772553121, 441.63859683900381, 441.80552570651344, 442.52250866680498, 444.23938024184736, 444.86419567598358, 446.78449167969114, 447.64080357177318, 447.73705644713823, 447.8263451995266, 449.39810489345348, 450.25837744475427, 451.49951223249889, 451.60503429279493, 451.75117103214029, 453.31240462775298, 453.78276237272911, 454.00107754558047, 454.85503129212321, 455.23234439205299, 455.43451029547157, 455.48481574265838, 456.2267657069176, 456.25659974389993, 458.49210143841873, 459.35153586164068, 459.45847082246291, 459.97613377007247, 460.20037324451192, 460.70400076724934, 461.03838334359165, 464.17038688567982, 464.99009883797055, 465.09452442243418, 469.44654237144397, 471.78230322432756, 471.88219038451291, 472.86700463558356, 473.63371773191011, 474.21650162919525, 474.80364047370347, 476.02582220928406, 476.72533504791465, 478.64593545350277, 479.33717444535262, 479.50355538997525, 480.872888782053, 481.84481451050607, 481.98683814757004, 482.19431302912506, 482.28490187455691, 483.64276084723696, 485.83086907769115, 485.9644167504984, 486.89909000553109, 487.16477308858276, 487.27380059809258, 488.48444481026047, 490.02736883022283, 490.42863501652869, 491.85158192899905, 491.8892098907873, 492.02671453717784, 492.25603922613448, 492.53847893723554, 492.69071177484938, 494.41312736653651, 495.36726098691298, 496.87888893245088, 498.30162554025827, 501.02801482620691, 501.36399306515483, 501.67092019459028, 502.16953145531164, 504.20361113426134, 505.56281995952156, 505.58302804117488, 509.46480853499816, 509.9851415683728, 510.69742673910622, 511.12802196530185, 513.38690990309271, 517.51592075264227, 519.30235102747531, 522.45521029775057, 522.6309746544764, 528.6766847014153, 529.31818123991468, 530.76040469236739, 531.26584982475003, 531.67197627075018, 532.15719826749046, 532.79613791087809, 533.08343530658544, 534.3992641990676, 534.72846857563604, 534.92625126843927, 537.37337349683878, 537.40460964485953, 538.9012438293687, 539.02795398870126, 541.46669913802793, 541.4895600060072, 542.81388413336686, 543.99963651396672, 544.1660637893325, 545.07546816357615, 546.08541766681128, 546.41447571952244, 549.00931505977985, 549.31711309824846, 549.99466316985331, 550.76858402336643, 553.24875909904529, 553.27434638687089, 556.51163211357277, 557.6920669237968, 558.45280824873794, 558.50691530488473, 559.16598087679756, 560.27919748438853, 563.9565211724771, 565.10280310651797, 566.25216520026493, 566.71892688408161, 567.86499758225705, 568.08550718162371, 568.22497388947511, 568.74642281649062, 569.65013200903206, 570.47265294796671, 571.17915291887709, 572.44714462741945, 572.66105797727926, 573.07785066503357, 575.67088129420404, 575.96569679679078, 576.29488650056351, 578.48992555763357, 579.59295814253221, 580.07430420705782, 581.6827126411506, 582.63628531092434, 583.49614646130067, 583.74597433545136, 584.11023735847527, 584.21821950168578, 584.30170964995682, 584.7999124637513, 585.07886659636767, 585.6710442565319, 586.48801107939664, 587.88051579550086, 588.4417036299543, 588.61566410052683, 589.00520359416794, 589.13314896420854, 590.00999098946249, 591.65171591565024, 592.11268151051593, 592.48460419285584, 592.89468982831534, 593.16078665473083, 593.79706780550669, 594.557176132584, 595.54766751070849, 596.20667912635702, 596.68756592821683, 597.12247710186909, 598.80380537563235, 599.26719559108517, 599.33197444504333, 599.54798536616363, 600.12190397656491, 601.43229530163933, 605.63111848996414, 606.88132898321135, 607.35941837782332, 608.26244335658043, 611.09153266228577, 617.06009750274018, 617.79041609399417, 618.15858600782815, 618.18235729573621, 619.50606853675254, 620.57656413015286, 621.23802043847229, 621.29958408133564, 623.61557555137904, 623.91615915512273, 624.1473882095006, 624.88825954881997, 625.29480696523137, 627.09211460719109, 627.44671807678458, 628.65758147422389, 628.759814658393, 629.63615257002846, 630.06820906315136, 630.17534600132501, 630.53262826836635, 630.71971651201386, 631.77563819938484, 632.13717672558175, 634.21245248736557, 634.29155339735917, 634.47581156766432, 634.96119377342836, 635.49180861934565, 636.76858978021778, 640.91167898188326, 641.19583797701853, 641.45838993241136, 642.35566389046107, 642.692692013689, 644.32274663421674, 645.49798710220455, 647.07083401996977, 647.46366719202615, 647.79520084302146, 648.55649478999453, 649.5035166794471, 651.18779414735127, 651.53928955297818, 651.79779712979257, 652.90625711069436, 654.45060604369132, 654.81596767366534, 655.30338448126236, 655.82562998482274, 656.117731822152, 657.03798247513873, 658.2929737113958, 658.36808558240318, 658.6741956423009, 658.85429490222407, 661.26192113713194, 661.8869402711415, 662.51838214677662, 662.94362826436361, 663.08757708314488, 664.20607697408275, 664.57019014752825, 664.74198660248658, 665.08066132000897, 665.33167667441512, 665.70242146188809, 666.72509951221468, 668.40270803208477, 670.86411922435059, 671.03435190920845, 672.22606253369918, 673.80039355344786, 674.5950082634356, 675.84634073669531, 679.63845262089194, 679.75190064342439, 681.04984348094047, 681.49556497494416, 682.31898400875241, 682.7117815766419, 683.74330733201384, 684.33435511105802, 685.14479158207496, 685.2661519378571, 686.73826512014034, 686.88576359758133, 686.98102198496906, 687.69907892124399, 689.27193726321366, 691.33128642175518, 691.44159416864113, 691.57047293512312, 692.53860289109855, 693.23246076744726, 693.29987745269489, 693.58545402832226, 694.47616511039303, 694.55332240950884, 695.38470224417165, 697.42212140358936, 697.81896065824071, 698.10474629863381, 698.62473399333351, 699.09055578920004, 700.30337537855235, 701.45035953384149, 701.98437212898114, 702.07664718407318, 702.6533780801401, 702.87482927911037, 704.72708563684762, 705.88975956804961, 706.4132575061318, 707.57598629609004, 707.86424054860993, 711.19314417862142, 711.63994125635531, 711.71983811606549, 712.94518209275691, 715.32887572248046, 715.59566749452131, 716.13611629426703, 716.25130817732065, 718.30481052200673, 718.95836388127577, 721.01346324083613, 721.55605470951457, 722.69950023091565, 722.83773794670947, 723.95841772824906, 724.86013498295415, 725.47973664262338, 725.54930825587212, 726.27678667151042, 726.84695010236328, 727.11499327726972, 727.64576104312539, 728.34106797168317, 728.81080627389906, 729.5819703991458, 729.93032129780545, 730.33987699640159, 731.27977078139043, 732.44347692403733, 734.15849986229284, 736.93398946678406, 737.11631490933576, 737.19470000603553, 737.43801533014323, 737.71261249822169, 738.24713030976966, 738.45404844142342, 738.66960244581844, 739.68735781335772, 740.86159934985187, 742.44840816542933, 743.05487374061966, 743.38798139416417, 743.60016261323881, 745.97623186255544, 747.13101677111592, 747.31867152364396, 748.81077147965425, 750.08912465961077, 750.75942758516044, 751.35191396372102, 751.40097975251842, 754.10114691492493, 754.19831468434063, 754.7353062820805, 755.39907608588703, 755.5701704826115, 755.72881392600368, 758.06529219762422, 758.09663322721769, 762.55630523156299, 762.6105523129022, 763.04806984607194, 764.42009202671795, 764.53507362565085, 766.45189138674471, 769.96765238810758, 771.69273464897196, 773.63335618975441, 774.54916254141847, 775.75948095288538, 776.67174804126557, 776.96514382459213, 777.57562843803817, 777.6018088705913, 778.04840976692026, 778.55400275927934, 778.84496872691159, 780.366140485502, 781.13085472885837, 783.37172448125762, 784.84859191488283, 785.35075195620345, 786.61946882326936, 786.71057344398264, 789.13228648169263, 789.59876575718897, 789.95729302371285, 792.42407154960347, 793.65620310706652, 794.47700698861956, 794.67892716099425, 795.43424712396893, 797.46403083158566, 799.06743413112383, 800.91594110490439, 802.48574900478786, 802.88835372021572, 803.78325444973268, 804.66007222838596, 804.79416099029868, 804.82499833886618, 804.86711525143915, 807.0791561477273, 810.68349694052097, 811.47208177035736, 813.37629103098675, 815.450140231982, 817.88086474064664, 819.61744201823115, 820.10035293899352, 823.10063747848221, 824.80204378829819, 825.60358782431877, 826.12141152115873, 826.46289652421149, 826.74609484585517, 827.85200943855818, 828.16834964215047, 830.7692284019115, 831.52506695108389, 832.66690167578224, 838.34804773793587, 839.69404473589282, 840.67213946796664, 841.73983314478187, 843.03650915502135, 844.0180697086123, 846.68271456175944, 848.97911595092648, 849.79316159024245, 849.93484498456155, 850.43288748133796, 850.89176367987443, 851.67762924587078, 852.52294897857041, 853.64792113153339, 854.68698175130476, 854.80924397667661, 856.96449878076692, 857.35074999927645, 860.72855855891078, 861.26042813173706, 861.32364217532881, 862.02705357383763, 862.78131710216167, 862.96924611740098, 863.92041565387103, 865.40096958826462, 865.6851992253354, 865.99185628399107, 866.33756759679238, 868.13860146232571, 868.89867643879404, 869.84724842804837, 870.22662712336489, 870.25139962832975, 870.42440603162163, 870.50591684116421, 872.7706813852875, 874.66234947445594, 875.49614916181861, 876.28918681579239, 877.42103511156733, 878.29187498690817, 878.43146758168655, 881.6303690448043, 882.29583973391811, 882.3746146354249, 883.56348612373233, 887.12404610598253, 888.25927216072273, 889.71050846968308, 889.84441373534241, 889.88246364706788, 890.57766708533859, 890.89175576672585, 891.75809048617907, 893.458328419336, 894.87392503649221, 894.94090447957433, 896.23760130727669, 896.37450662445224, 896.40488486854554, 897.63876989046912, 897.78472139242785, 898.33421505788613, 901.54397560184009, 902.42455006961609, 902.97654591723267, 903.62230005967467, 904.64271530501514, 904.7220325828448, 905.36390321055103, 905.63747424238568, 906.4331522323846, 906.84553265326133, 907.03410515883206, 909.19360625233026, 909.29431862952526, 909.8927804559786, 911.35831075484134, 912.07727744308124, 913.1710874097638, 913.20359620327122, 914.46178784652511, 915.16950849554166, 917.12341657845423, 917.77975866746544, 919.87661859230161, 921.27285983792206, 921.33221671730769, 922.10711713017247, 922.24310164535234, 922.38996558772703, 924.0095553965881, 924.25834285422127, 924.58250638231596, 925.10111923009299, 926.6863802584503, 931.09518631515766, 931.11729795999452, 932.50860026964222, 933.96067351112902, 935.50744032259786, 938.27852140911614, 939.1695215809566, 940.12222496018103, 940.75483381858032, 940.96384725322901, 943.38155182403023, 943.98190560531532, 944.53223623956194, 944.81925949830634, 946.88951520136629, 946.96392500719082, 948.42391582215771, 948.76323826745806, 950.07067312852121, 950.48921802132259, 950.99413116531343, 951.81675046118198, 952.32831332786759, 952.3990032133031, 953.51822355548109, 955.64516290955578, 956.51906582358265, 960.3101929910963, 961.43807721303961, 962.46319702608093, 963.91964127987319, 964.59391991818177, 965.16237590774426, 966.56298495451381, 966.85847155397073, 967.47460316550041, 967.76265679122378, 969.92032134833073, 971.07654801780541, 972.89228062725056, 973.34251955296702, 974.53737123714495, 975.48700044937425, 975.90483901986931, 978.28469195965044, 980.26922355615204, 983.54892303213444, 986.98205551986405, 987.85068037864028, 990.76336352063606, 991.69130857747973, 992.95438924289351, 993.67892395344586, 994.90044637581843, 997.39871667515581, 997.57485162356625, 998.15939968038276, 998.70033462988488, 999.24038046304315, 999.46058260507618, 1000.1027241301924]),array([80.188951853207968, 83.356817967068167, 84.037636104372069, 87.008862173123759, 87.686285411296126, 87.859818474724591, 89.3984271698599, 90.197222743082847, 91.270942291414286, 91.588295920008434, 91.801903199165409, 91.935387285338422, 95.854285484604077, 96.623775066485081, 96.923236535034164, 97.13244402752629, 97.214288660266604, 98.069863880800412, 98.140945795394799, 98.843959614513267, 100.11067612125174, 100.52450279425344, 100.91684896902511, 101.36273091759095, 101.99817866271552, 102.82200897381202, 102.88135999699924, 103.54466471428023, 104.11129213467932, 104.26983848872541, 104.60621821006585, 106.20928279622058, 108.33514854568337, 109.05864889715221, 109.26507803230078, 109.46934516041024, 113.88988506540035, 115.37038730689702, 117.10785648078263, 117.54654451796678, 118.19594578285414, 118.32672851423426, 118.57110587626687, 119.97681727986043, 120.3851288998023, 121.23878113806508, 121.76725551420817, 123.06200359716502, 124.99770236345149, 125.06821617725699, 125.16164545287491, 126.83710690084028, 128.12066029856368, 128.28277402629385, 128.5083992523916, 129.08204569712285, 129.13726876952967, 129.69663918326358, 130.28365941611492, 130.38811600428068, 131.43831637438555, 133.95253128024072, 134.42295121669255, 134.92396333225503, 135.67458730299163, 135.77441866251269, 136.85386688017667, 138.37757158125817, 138.76722444755319, 139.84308530394424, 139.97537923264576, 141.73377374831333, 143.07884822194302, 146.3382936780846, 146.67475678702399, 147.14632981485627, 151.59261496027543, 153.03590474332219, 153.58415363123456, 156.15607223231888, 156.97452081843906, 158.03453106125232, 158.10417714682055, 159.36299780043828, 159.92542140993771, 160.7541004902684, 160.98168984894434, 161.11225159361697, 162.55148795659147, 162.63084062998112, 162.86797932443372, 163.19808142331496, 164.04208816844178, 164.09396434168323, 164.50028419114912, 165.66571626971617, 165.76605825891286, 167.340674315813, 167.39651241311233, 168.07400035517816, 168.57373386183662, 168.78555719742405, 171.13249566974753, 174.19416717653303, 176.33467726454515, 177.20847768685641, 177.54775124611643, 179.42940255484157, 179.50695081913551, 179.62471692935188, 180.7932145236424, 181.16774647132954, 181.75093319898897, 182.44452432469856, 183.37813418030336, 184.26430186914084, 184.64939067462771, 184.69911041927875, 184.82793140021352, 185.90464661820639, 187.9116711421718, 188.05451658474163, 189.40496807910765, 189.71326094967483, 190.31477172641578, 191.36724042779761, 192.49916432342931, 193.00982499107505, 194.03807463667079, 194.79918444289405, 196.71776677937822, 198.30691385254531, 199.31988514503593, 199.44873577284565, 199.82995408585785, 200.35517372730675, 201.63815291805909, 204.67336060044991, 204.78979321773971, 205.00488321121168, 206.58039992491626, 210.84553437130398, 211.94892736119607, 212.77972260435757, 212.94312906753876, 213.42652462480899, 215.52195695719826, 217.94931993370906, 218.5835351078492, 219.47122636996031, 220.69709273631216, 221.5812248323505, 223.209987792036, 223.84567506285879, 224.28642545289728, 224.70211305520289, 225.50894469803058, 225.76373454661996, 226.09495483458707, 227.15120353222665, 230.8381502502738, 232.34365032798138, 232.51916465116486, 232.86569882928688, 233.46116898668129, 233.77914769970275, 236.59283598983222, 238.53274289288925, 240.22915457497228, 240.37061169085607, 240.57385458174772, 240.87757233246256, 243.45764673849709, 244.42671097416752, 245.05873728141918, 246.59418041028437, 247.60666374368967, 249.1625920398875, 250.11321422396111, 252.18484935819134, 253.24862031171224, 253.61159963179426, 253.65512942236356, 254.49018536487438, 254.67181614820919, 255.76372501158212, 256.84646958535916, 256.87686346903223, 258.1056610544689, 259.21897914007803, 259.62791514809766, 260.35011412202431, 262.80503215204743, 264.83864243527745, 265.17060789061884, 265.28150685146608, 267.34467670041835, 267.53073901008526, 269.26745138409052, 269.47637503693051, 270.70750154200846, 272.80497070458222, 273.18247168559265, 273.28173913773378, 273.70068560476597, 275.21552395875875, 275.50045946200345, 275.79174752272013, 278.61449783074414, 279.99154906513689, 280.09646672493545, 281.27419877580741, 281.85820897437759, 281.95550164195322, 282.65940268033091, 283.6867952553074, 285.39594396343034, 285.65418272070247, 286.89074445016041, 287.23642805099422, 287.4117575071225, 287.55233309186957, 288.11450844128922, 289.23201651002034, 290.18297428673804, 292.19247668164758, 293.39128212500674, 293.65518544752769, 293.7262866351644, 294.04878816400566, 298.5681903027741, 298.63127200659659, 299.09384026100588, 299.31792469370208, 299.61077153686875, 300.50065303330365, 302.15527475941025, 302.78189080420174, 303.36252894443129, 304.50793483647641, 306.76385292511191, 307.95284283507624, 308.48445847602682, 308.68708207442876, 308.71665778453291, 309.49675393186226, 309.97969607763696, 313.39590322496679, 313.49235122556547, 313.53942802224816, 314.27670572015592, 318.18552030619031, 318.75269892291448, 319.00520653756246, 320.4732947529132, 320.87304824724856, 321.91303994578487, 322.02686877932007, 322.61502303244919, 322.6871521924777, 322.76877376426887, 323.55067903259157, 324.0805575756392, 325.151945827227, 326.09069522935579, 326.32105413842896, 326.54247209793806, 326.60230708282046, 327.50670437898918, 327.53916066701845, 328.72584250729108, 330.15922386460932, 331.70872780711812, 332.10861675120447, 333.22500786124846, 334.83176182496999, 334.97152444289901, 338.24168710026601, 339.41042488528393, 341.42049594945104, 341.57357485360109, 342.31451939276718, 342.37429377520164, 342.69878434517227, 343.19779351511386, 344.9438936940594, 345.38328928220062, 346.15181130146357, 346.54520496187303, 346.85954467444481, 347.32616000139745, 347.46053646787743, 349.03506589306357, 349.2096203954485, 350.6494620962755, 351.16078113386675, 351.36771183392915, 352.60015527443818, 352.89944325566051, 354.74652818827747, 355.03087096176165, 357.63332717538583, 357.68640046968721, 358.71127136149249, 359.23330478200904, 359.57202440027447, 360.81375980390635, 362.7404468728941, 363.69246277187278, 363.81613469991362, 365.71602477163515, 368.33340499167855, 368.46063860047019, 368.54199144677619, 370.75096021137136, 370.79498131204087, 371.86501981209966, 372.25342836692107, 372.72864842017952, 376.28175680852286, 377.76015538190973, 377.7839117999319, 378.82584310182102, 379.3325272347663, 379.72315512812321, 380.77727005222056, 381.43506981005163, 382.74127241773431, 382.87654677709787, 383.74830646616863, 385.25909550541593, 387.69700430167029, 388.17339557503851, 388.55863561952185, 388.74612697064032, 388.80026212992567, 388.97140495581795, 389.38968580215868, 389.59636648921958, 389.63003111329186, 391.58949387343966, 392.06411291943641, 395.9250535530195, 396.04917745276134, 396.36867590362726, 396.80509088649853, 396.94182092986335, 397.2450168306043, 400.07558130174226, 400.59242724454788, 401.11417935922987, 401.75955487909488, 404.71696970013227, 404.84409028764321, 404.90769445805012, 405.15638129523126, 405.58027478863391, 406.27041470664324, 407.07516787265689, 408.54640647798118, 408.89427719675433, 409.81246341080453, 409.94441686712264, 410.27490925279238, 410.57446820431255, 411.37689426997383, 411.8643583288611, 411.91512475890136, 413.05222507297202, 413.40613275715816, 414.30221163660519, 415.02074009536142, 415.96023900603922, 417.55824394861679, 418.2192928163845, 419.55003983617848, 421.97345100241034, 422.23525875051644, 423.11033263393671, 423.14135103993539, 423.17734973813765, 423.31951494182226, 423.73717344724292, 425.28093232888455, 425.45699499428747, 426.9963916271069, 427.27467526643733, 427.44920782602827, 427.50318730995718, 427.67282046490328, 428.03767052618502, 428.36034102718884, 429.1602221365261, 434.10704924470525, 435.61378277311212, 435.89471190811355, 440.39854856820619, 442.65807063930629, 444.0491669538979, 444.30903556154203, 444.40901708586847, 444.57593026958182, 446.02510187193599, 446.83778932914487, 447.23013673827501, 447.26123368696227, 448.29076079532774, 449.0634431365811, 449.33414076346418, 449.84030614360648, 450.19923851372744, 452.64908588362141, 453.09157753237798, 454.55796417557843, 457.24314160246047, 457.4627443481354, 458.15135407389727, 460.59442259215967, 461.43648011121144, 462.43475375263358, 462.85748412995008, 463.93279012379406, 464.56453901578703, 464.81450159922792, 466.06930760436381, 466.96922541833402, 469.86700545139297, 470.0019683389591, 470.52839658101783, 473.6325519985399, 474.30874647137398, 474.55531301797919, 474.626440475717, 474.66933515352184, 474.94132049414435, 475.20105861995825, 476.09868585319509, 477.23440342055733, 477.82686356835126, 478.38386107991408, 480.84622191706165, 483.61464010512054, 484.17799073058183, 484.60674073806445, 485.41116921304672, 486.12675259461753, 486.31004483298995, 487.36121373696511, 487.58612296207508, 490.02561805156557, 491.67252495574638, 493.57633429944298, 494.30522561280225, 494.41008572571059, 494.67162324939079, 496.72888358540541, 498.83673737057006, 499.85076157968984, 500.66508577348031, 501.97564370074701, 503.19376395899639, 503.3323401794184, 503.88335428567075, 504.81013648998413, 510.97724390506812, 512.83309135855359, 513.39128813489788, 514.7345290385681, 514.87278903235847, 515.67523492154476, 516.14343413793847, 516.24267597679511, 516.32926813708877, 522.07338348698806, 525.83165128256985, 527.44554657342178, 528.6431374405048, 529.85326144322607, 530.55611718660862, 532.18889488229081, 532.86455707534969, 532.92730146056942, 533.68948730388774, 534.60084737627733, 535.01086738344463, 535.92538482606278, 536.1288249503724, 538.15981616749696, 539.68549519866906, 540.83873140457808, 541.65268223352496, 544.37030908115491, 545.06734965852809, 546.4256724701147, 546.47234013443915, 547.08300702372594, 548.03911015332494, 548.10384757570512, 548.77824665643095, 550.23151946023984, 550.92886521606886, 552.26554227749182, 554.45638371458642, 554.59514925502208, 554.90508615666818, 555.51539030634365, 555.70234169677042, 555.80249832154766, 555.97730191764174, 556.62963700130285, 556.86692510516002, 557.40960788278687, 557.5362557162299, 557.8210146140085, 559.54614812117109, 559.99929210244534, 562.30940277004765, 562.90321710938679, 562.97316429840646, 564.51795905390122, 565.52786087701975, 566.11104665342964, 566.6490602615296, 567.38714249424834, 568.53760241772989, 569.60033866104141, 570.16188118180298, 570.50741426423076, 570.71994166484262, 571.23323950597046, 571.43889453119255, 571.74068973084434, 572.72572723194946, 573.47722971392034, 576.91207365448543, 577.89111603368076, 579.71185308005477, 580.36303140955431, 580.83677049203777, 581.35703876293314, 581.49800379705539, 582.13831172618723, 582.8493474138927, 583.49862755863899, 583.85543323690251, 587.1986480796628, 587.30669674919693, 588.51234680959749, 590.45115021305423, 591.43700314925263, 592.63689153654821, 592.97112075164182, 594.66262702990332, 594.9006615526107, 595.68246003931392, 597.74024983577556, 600.34201302135614, 601.15838696693777, 601.32607021226954, 601.78589595289441, 602.18774067931452, 603.14545902518717, 607.58056463914352, 608.04953401846217, 608.24057136109832, 608.31778081684979, 608.85818128380743, 609.38367195475882, 609.6100886736557, 611.34246386437599, 612.36645808823562, 612.6607907190205, 613.25736490879717, 613.83772349137644, 615.26892636046, 618.57285948909112, 621.85175568306795, 621.89024578781004, 623.0180482727568, 623.79978763203167, 624.03381646936975, 624.08259030297756, 624.87877701154912, 625.98096443339182, 627.47932348559175, 627.91607165757478, 628.87134785753199, 629.10939449601335, 629.60769768048715, 631.41839568014348, 632.08517878815553, 632.47785324931306, 632.64690271755023, 633.37241109992624, 634.37348743892358, 635.11369791023628, 635.50457182984348, 636.0307040374978, 636.51477076613708, 638.23120772313587, 638.93695467834618, 641.23992837521303, 641.57670129268979, 643.13393480625984, 644.29080554736584, 644.91765032217995, 646.99509265077234, 647.21876026792404, 647.83539702246514, 647.99409978068434, 648.23729908047699, 649.79055128240805, 649.86830008912023, 651.46947168847112, 651.82047230922933, 653.68414087328824, 653.94383209597197, 655.24689968380346, 655.29563098558378, 656.30956502006336, 656.51038505272015, 657.13284562373349, 658.61934403978842, 659.01047255156129, 659.60312702469673, 659.8089582775491, 660.39533630091523, 661.91834746119491, 661.97095422254506, 663.74685385234898, 663.89297268518192, 664.49989210291437, 665.0385056076675, 666.6415904746126, 670.04215273505781, 670.10852994639549, 671.37670269790908, 673.21606557747111, 673.78592186774188, 673.95882250429622, 674.22370705651167, 674.36718389599207, 676.64958807137953, 676.83597903851137, 677.54129472182706, 680.32719722853574, 680.36360880592542, 680.61207059715787, 681.32831158770034, 684.6872362109284, 684.81399116693035, 685.58043997152538, 686.04393529047559, 688.49713979323292, 688.5660744197379, 688.77965946990901, 690.00914180691132, 691.25971172510253, 691.8200104692587, 692.00573992713635, 692.68861102678943, 692.94483464935547, 692.97212036720896, 694.28927508183347, 694.47126443940192, 696.12135583139911, 698.06948691191553, 698.76210610253429, 699.58004715964796, 699.72658897569886, 701.03652458953889, 705.94073887776688, 706.26739207893195, 706.7366694276285, 707.52116537056031, 709.02068177298304, 709.14176398126563, 709.6590540244257, 710.14317571759864, 710.4561722765925, 713.64020875489064, 713.76456483797949, 715.47941049603116, 717.55452982884799, 718.11351048866231, 722.14931664544008, 722.55643917214661, 723.14390610838541, 724.46151284419648, 725.73334605695038, 725.82820177863698, 727.6562966017176, 728.61213437905383, 729.01722868570835, 729.52036590427247, 730.38111760256754, 730.56201172406543, 731.39950636729657, 732.38704967143997, 732.47088475269823, 735.65387642984945, 736.571853231408, 737.11290523358059, 737.38779799628026, 737.74322710989452, 738.1078616944643, 739.02371323488683, 739.5062123489779, 739.96779091445399, 739.99031235582538, 740.39523483795017, 740.49708361951468, 741.43676904785627, 743.77980067231124, 744.25496415382327, 746.26188830038905, 746.7119406592484, 747.23996419214143, 748.38002284811807, 749.02349290982113, 749.20749752502763, 749.36617012084741, 749.84307530464594, 750.38870060088834, 750.93706801921962, 752.8176021621158, 753.61477043061507, 753.80569801421564, 755.007574005994, 755.07810320049748, 755.64503005244364, 755.73795879748889, 756.45870705933362, 757.8514530880899, 759.56561499293116, 760.47799020184073, 760.77370322962827, 762.64387285446981, 763.80085208347998, 764.20132692902837, 764.55501506388907, 765.74038536597482, 767.40975513560136, 767.85060504061289, 768.04604084751077, 768.60924064757592, 768.75193578938138, 769.23040379482745, 770.60986337611837, 770.93931958114649, 771.16672967897648, 773.48654044120951, 775.06054209881552, 775.21995533240226, 776.05177161350696, 777.51086108348738, 777.6904555375155, 778.2926736116226, 781.13867531238304, 782.80369295096887, 785.1019498116641, 786.53792734880244, 786.82591975171079, 787.02560722503983, 787.46149973017316, 787.56300593346123, 787.98293041446448, 789.20326092490973, 789.29793462807856, 789.46234093975738, 789.97003413375489, 789.99108398362489, 794.39894535783424, 796.40896967591948, 797.17932775115992, 797.77155396451599, 798.22606901933818, 798.61029348126283, 798.74816166259257, 799.61094484769012, 799.66606159689923, 800.11948667761953, 800.80692020488652, 801.13091996562832, 802.0919928326914, 803.77790458507411, 804.32208524441648, 809.24941665235951, 809.66655476840265, 809.8645250524703, 809.99200996193451, 810.94848713378758, 812.21207826428565, 815.28056039354885, 815.76989392405949, 816.4719807607072, 817.80580351228514, 818.52968460602995, 819.09205960483303, 820.80981008466858, 820.99207136170128, 821.70858968204038, 823.70356137228418, 826.9506468418507, 827.80022743366158, 827.92473618162842, 829.38446901067039, 830.61157497937666, 831.82718362831849, 833.55175919134615, 837.68538314405578, 839.76800109552278, 839.85996464202788, 840.02882278240668, 840.157653427931, 840.23483816089174, 841.07204762044898, 843.2720942750833, 845.28865473845883, 847.31637667690984, 849.25140857045051, 851.70681861963214, 851.78566536152005, 852.97150302011255, 853.67146803059472, 855.28845430738704, 856.70249564410176, 857.58522902724519, 859.17924555595755, 865.06508383987068, 865.63122439809626, 867.7729493507411, 868.10678597198989, 869.48042645474777, 870.44511913776489, 870.62729430271406, 871.02471351861345, 872.84251999639048, 875.01117046974377, 875.29768185271905, 875.47595044275158, 877.00364682836971, 877.64823003860624, 878.67076404818351, 880.34668021856305, 880.61047026179369, 881.36469974007468, 882.31864715537279, 882.93352772942114, 883.93772504813523, 884.34010471245438, 884.50071640451802, 885.31945533659814, 885.50167935769605, 886.32466136864173, 887.06372593413403, 887.86324926697546, 888.78238216466923, 889.09529262934984, 889.97629481438662, 890.18452334131007, 890.65270693717707, 892.81553450408921, 892.87235397831478, 895.25018547453226, 895.65194564915453, 898.63424888889881, 898.85540790420168, 899.39946264836976, 899.62170005056032, 901.61406395785434, 902.90077213020243, 903.62034858418303, 906.34938456998441, 906.41901165822981, 909.47109128129171, 909.77038796507918, 910.28083123086594, 912.27596695384022, 912.30513987362724, 917.5095955994741, 920.7241951699483, 921.26289127354949, 921.61576487499974, 926.26514647908118, 926.28749158473511, 926.82135726213255, 926.92732193285076, 928.54794955771433, 929.62918923131815, 931.98926123891829, 932.18526726036703, 932.38136830134249, 932.64966114236279, 933.603568642862, 934.14592634461803, 936.96384648883054, 937.96962186358303, 939.28392372402175, 940.53860000491943, 940.58567619349128, 940.78089541977056, 943.578336581857, 944.62680913252711, 949.16832719533227, 950.38737206238625, 950.97357926132281, 951.35340786032225, 952.08462077915885, 952.46312120601488, 952.71855044198719, 954.20480853111815, 954.3522629450564, 955.32974687626199, 955.90116778147797, 956.6466590287497, 957.01509664398907, 959.14396484749579, 959.55125589173883, 961.54711887174392, 961.64583577568339, 962.82755935237265, 963.5292215438443, 965.17773388944192, 966.57957601979638, 969.45603219463317, 970.66063726789957, 970.92010147680332, 972.43913847288513, 972.62597667563534, 973.64732842908199, 974.80063253399533, 975.44452178598067, 976.11415572021144, 976.64982302140606, 978.5454178917937, 979.20937031465826, 979.40212862157591, 984.1241077157066, 984.41009854861727, 985.26460770767096, 988.09107567959916, 988.80100805282041, 989.85264796179922, 990.206970325518, 991.62836303469601, 992.26927185770023, 992.38041698874088, 992.68945592609725, 993.51682587819857, 993.57685553868146, 994.70546803413367, 995.81355095641402, 996.126193080029, 996.33105782366863, 997.21634127440416, 997.47501334869742, 998.7631615429375, 998.95712975160757, 999.93469941831711, 1000.2023745826003]),array([98.580092698532439, 98.690112561258317, 99.883939486758436, 100.97530133018076, 102.80129829150623, 103.57742542498842, 103.73914157824234, 103.92857791262261, 106.82037989924737, 107.53944910525661, 108.29909090674263, 109.85384045835991, 110.74277842521899, 111.93251038561998, 112.42020354265141, 116.98183830676199, 117.58531713735191, 118.28110389892537, 118.55607753698845, 119.7608242996687, 120.48371976865722, 121.26803929295963, 123.03073624727882, 124.06067728146373, 124.22574675583904, 124.61933276502791, 124.66768837442797, 125.44769137790271, 126.03991960339047, 127.13649893054158, 128.2534373326161, 128.74386596411759, 132.18721975538264, 132.25327640337397, 132.51745711618722, 133.35016767874572, 133.79226357217809, 133.88920181631789, 135.18900077878158, 136.67254596114472, 140.28174850144234, 141.12004747519191, 141.5404920823261, 142.34675811692716, 144.11440029019192, 144.62585427969992, 144.65870504865694, 144.87166331558632, 144.91500191423651, 148.61388295495084, 148.93460952648744, 149.4542492477523, 157.30813488729325, 157.60826512659108, 157.66922592701047, 157.72714555978183, 158.7336053169474, 159.73842898062495, 161.29013467630881, 163.83299822289081, 164.19939995955218, 164.23911550953838, 166.22427883525202, 167.22885409623643, 167.52548556198167, 167.91590267927123, 168.41202828089442, 169.5986872745851, 169.7370371805863, 169.97658463110417, 170.92023993751798, 171.20150205035941, 171.90368406891108, 173.73887247249877, 176.93468260966677, 177.36315728387859, 178.34754423488994, 178.45182488479747, 179.34359950973283, 179.4156131433711, 179.64017096725456, 181.78422121572061, 182.18333374299851, 183.11945645583711, 183.1931009914102, 184.08166566049579, 185.33087232236613, 186.46270935575021, 187.40878094749141, 187.48546275764181, 187.86552942801268, 189.39522369952959, 192.9720336863835, 194.29561560146391, 194.48671465674556, 195.98104183912127, 196.78922287235696, 197.65583803998848, 198.40998610870116, 200.60400267359984, 201.45296246237132, 204.38220281604259, 204.84432736982822, 205.6532119807834, 206.44546508674287, 207.65384654704977, 207.84421272947941, 208.19342937299393, 208.29587276628919, 209.38675909261767, 210.56127868576647, 211.70300113090204, 211.74977340291991, 212.0682043652491, 212.8176489031363, 212.85027551597472, 215.43251929642645, 215.50605193124002, 217.72782080858497, 219.60869955586605, 219.78893032569593, 227.07800609086851, 228.26951107346395, 228.6119533935092, 229.90290220944169, 230.74356520212484, 231.76605694663994, 232.23903461903362, 233.24222304316348, 237.17150940230047, 238.09157440011168, 238.17230027308827, 238.99959678127362, 239.54891797361827, 240.18552161793957, 240.44196708026669, 240.50157216964334, 240.98302345505437, 241.53560194729428, 242.50493937226963, 244.00770982938067, 245.12691448568094, 245.82816756010865, 246.14369519756289, 249.04030923957956, 249.55502633076031, 250.17415407828062, 251.81353461666876, 252.97874440812808, 253.6416436645645, 253.82567165152869, 254.58896009086561, 256.46836931348298, 256.87485998625334, 257.12801175425443, 257.80713359042204, 258.77679478211763, 259.65434831421504, 260.44372046233951, 260.49776326413581, 262.00851202948269, 262.92024963332892, 263.04393725121986, 264.4320629693147, 265.34730266725444, 265.91339506000247, 266.61264669697999, 269.94014739074493, 270.33814705467955, 270.68434818993364, 272.629289821866, 274.13456071121448, 274.18332557132743, 274.64944175517928, 275.19890231789537, 275.46788872687864, 275.84491972563177, 278.33838749824497, 279.06901097144845, 282.76596798805997, 283.69882710195816, 284.82154144674109, 285.62556848795674, 291.80028288485664, 292.96967940062723, 295.09466820485801, 298.29207109008775, 299.09190005050874, 300.1227776878689, 302.23053264094364, 303.19380864876399, 303.38464884137312, 304.72372123856388, 304.80763992809244, 305.26748615740087, 306.38286479799029, 307.33900703871848, 309.51860777166053, 311.13370131115823, 313.14734259296966, 313.49087418263213, 313.84965536318424, 313.99092666822582, 318.86639659320286, 319.83566471954686, 320.07608858239826, 323.14219006254729, 323.82161247439888, 324.37822833226159, 326.77871598240728, 328.02069666361177, 329.70023689320271, 330.91805479760751, 331.58870177566826, 333.09199922434192, 335.46100041696963, 335.83967469673502, 336.32082457855176, 336.38796344962248, 337.29779830860394, 337.50035869216981, 339.90306836946445, 340.6856327120816, 341.37624864277137, 343.67033555186242, 345.42919348807561, 345.48182580756463, 345.81179995575854, 346.06016188981988, 346.27954982367379, 346.86666763757569, 350.06880070050101, 352.90834756045706, 353.02490225896884, 353.74185688796098, 353.80684783659621, 354.18987666778111, 354.74042479476617, 355.93887231542107, 356.26047324812123, 357.73873319959569, 357.76541925265303, 359.9357359953998, 360.81973031898571, 360.97678123026492, 362.01579541444789, 363.52148857546428, 365.04538817577514, 367.37356494983567, 368.62271285035598, 369.45967335390708, 369.52563380331179, 370.51803715021038, 371.2171924551713, 372.02886646423229, 372.78876564338213, 373.00224175549704, 373.12893371976924, 374.54156824330693, 374.66878854724467, 374.75049596161551, 375.58327667291269, 375.8951473247576, 378.71934754910336, 379.95917744734498, 380.88523945501254, 381.85959401038571, 382.15287939595697, 384.25567562781816, 384.64027818283068, 384.8372274882928, 385.51094606033064, 385.73221626972008, 386.35059774656673, 386.39776633849351, 389.05096101125042, 389.7045058986829, 391.59967575921803, 392.05373126810093, 392.07552311422296, 393.85010399720051, 394.04519130359569, 394.862199541748, 396.77053153443183, 397.03852046275819, 397.966536076311, 399.22917088215655, 399.49618782591858, 400.76697627226326, 401.4852907002653, 402.12574705876011, 402.64074275660352, 403.35539226175342, 403.4054237511877, 403.51786647694098, 403.62456069825407, 406.04945480070018, 410.4378631101676, 411.28650645593183, 412.35596793078082, 412.99188319035284, 416.6400843252764, 420.21543898777401, 420.97859446274077, 421.78391886925169, 422.05689602786458, 423.16258898994272, 423.76544851859899, 426.27704177069222, 426.3747275751038, 426.7271791668835, 429.53216295383368, 429.56518541039651, 430.45835349286517, 430.48990129429745, 431.16257956569592, 431.24555615003374, 432.76391207986137, 434.81500796828107, 434.90759587438731, 435.36977156258934, 435.96380806730338, 438.12627440116847, 439.27736484780905, 440.02699282969434, 440.22950922896007, 440.71820933029807, 441.66479339781381, 442.15704260100284, 442.4696922280429, 443.09393429326826, 443.79066549037606, 446.66752007827023, 446.76592295746826, 447.7262413718438, 448.95119774221956, 449.06692300701786, 450.74818133772584, 451.77545697931998, 451.84025886873343, 452.8753204435971, 453.06901041999305, 453.38810333023002, 455.49888590007464, 455.55143680783527, 456.03229362892688, 456.65090297357852, 456.75444973462049, 458.05260484879125, 458.58916288046686, 459.46638327850337, 460.48366129907748, 460.91487351495402, 462.39668148338171, 462.46685311486732, 464.09282818440909, 465.04018449802044, 465.51648108708611, 466.20118448313895, 468.64852499788367, 469.64744689827967, 471.76502577345843, 471.81565156253009, 472.01858359432106, 472.44766790831869, 473.1944191934798, 473.88543748511398, 474.52647175783665, 474.86710443629772, 475.10217785326171, 475.41179094804306, 475.48029793924104, 478.00017367423089, 478.29061409364186, 478.65244012277793, 479.63172586668958, 480.89090510624789, 482.21105875359206, 482.82834233832716, 484.95866353974361, 485.64511701938522, 487.25154513970051, 487.37708735006134, 487.8725215961345, 489.77114233109108, 490.01297896596208, 491.20257065440046, 491.24696370135376, 492.81582976620427, 493.8011330352486, 495.98177935247958, 496.14359462250405, 498.32804451463562, 498.54092761035156, 498.79677652899295, 499.41461455940146, 499.9355101855258, 500.42355335152695, 501.00870507738114, 501.6084503010772, 501.95952324766131, 502.96061321021261, 503.10290860454467, 503.26833681687384, 509.61992782750161, 509.81822545481964, 510.93707119908805, 512.3576411800218, 514.16731847106587, 514.82421822001413, 515.50041041160148, 518.48347779261803, 518.65855992863249, 518.99603981255825, 519.61920450581613, 524.92437621961415, 525.31358422637436, 525.43366494225415, 525.82340800024178, 526.34291896924185, 526.57265925773186, 526.63054951252286, 530.01079473292543, 532.27235444020744, 533.47751347455039, 535.28793817532267, 535.51675276838751, 536.39516256589741, 536.7489692996561, 537.02241313849913, 538.01401745795954, 538.24339211586982, 538.32196513560336, 538.46740417965884, 541.5700881349361, 541.79498991458001, 545.26010784876451, 549.20270379434385, 549.65777618976153, 550.05004205238231, 550.35912097037976, 551.32169258806834, 551.78054270774692, 552.25632444946086, 553.9721400775519, 554.67020095236842, 555.49064337406423, 557.03886192033303, 557.47578358573207, 557.84636375843536, 558.93700938667814, 563.37719205806889, 563.63797711812049, 563.80808419247819, 564.42549423762944, 566.75926007993894, 566.97054068634316, 569.20473141367358, 570.75266083912732, 572.00220682642396, 572.03286954976409, 573.9484771755366, 574.2037806608887, 574.30266115509778, 578.29969083297624, 578.67631242914547, 578.71971268258267, 580.28930609004158, 581.67222968388853, 582.05861695482565, 583.89691065721786, 585.86095033564209, 586.0424633391292, 587.56696784873373, 587.86359553578984, 588.13144459577825, 588.59242637944965, 590.11411754242931, 591.62014020844447, 596.58931122383785, 596.86263727892401, 597.170926760322, 597.56467166339246, 598.13010237537026, 599.11495999663771, 600.82231654763666, 603.40168491062286, 604.70448831621547, 606.42628535520669, 608.6573054666153, 609.47430089371426, 610.54278019735614, 611.60252454961699, 612.91558090361605, 613.19713300734713, 613.78881468873578, 613.95073660326636, 614.25466456627373, 614.77677736695466, 615.29558247210298, 616.68223517014076, 616.73842055367163, 619.29030252997063, 620.38446394668745, 624.5637935459705, 625.77311280201138, 628.03400385411055, 628.28793141580684, 628.63677700288531, 629.86311365780011, 630.41355891637102, 632.08397401094919, 633.38597829809817, 635.07135981841088, 635.84173653739299, 637.56864325024901, 639.50089855701708, 641.63028779818001, 644.90922459871695, 645.07019058024503, 646.40377289678031, 646.46425200052886, 649.04923380816876, 650.56784814298248, 650.90049140258452, 651.23150477166337, 652.74159131685519, 652.97174160488646, 653.09343188908235, 654.71436642785579, 655.15512406478319, 656.53444319123503, 657.0878734540488, 659.40235788019345, 660.00150986038841, 660.06559927287742, 661.64159893949477, 662.94841091278931, 664.81227631969875, 666.28449425615167, 667.0470140386758, 670.1599473653863, 670.84844600361919, 671.87395177902727, 672.69125152450385, 673.30165821241621, 675.06546530449589, 676.78878958421251, 677.21655840338178, 677.75221514867712, 677.91396181508856, 678.79110079930376, 679.72001756886425, 682.33308294668018, 682.78650203643519, 683.94945566902845, 684.01395164331416, 684.21822182539483, 684.40928917052508, 684.54665513383111, 684.77235437627633, 685.73543995779539, 687.54010390872975, 687.85985416146855, 688.89223889348568, 689.89661568896054, 690.80399632945102, 691.75728087560071, 693.16314991100444, 693.74119454123002, 694.64229971304258, 696.45034983834887, 696.79317472548439, 697.04082172632468, 697.63406932695398, 699.20427133138503, 699.94909420749525, 699.97794396851305, 703.85341909755959, 705.31713383539466, 705.45581259058099, 707.56137496016174, 708.58080131637996, 709.23394742579706, 709.28540701199927, 710.22376022797971, 710.92590800104006, 712.15291043016418, 715.65560309060368, 718.78012215338435, 719.93443353751184, 720.61974543206088, 721.35260310285605, 721.54193817149735, 721.71088343066856, 722.45033516253272, 722.47296705400629, 722.92566262214359, 724.66014312357356, 724.97585736743031, 726.66557171622776, 729.21448073975944, 729.44409501960422, 729.727255666254, 730.23960249554318, 731.02329008773995, 732.72706900836363, 733.29144226256494, 733.89756652054416, 735.11714384782056, 735.14599484449809, 735.49571636051598, 735.52481910430834, 737.19427277079944, 737.96929070158149, 738.03822609419785, 740.41397094725403, 740.59276690954357, 741.76344406254168, 741.99975558433368, 742.9193933178276, 742.96528382021256, 743.16204013042272, 744.25042529654752, 745.05290464640314, 745.75982594857271, 747.73971623117745, 747.88766722038838, 748.11908282293052, 749.84647731467908, 750.23895417754716, 750.62467053600255, 751.92520101115485, 753.7707708790507, 754.88206510023815, 754.96804332728118, 755.22248429293643, 755.91504803620694, 756.04507820881906, 756.71869836315238, 756.79207185100699, 757.81397692135204, 759.29476543418002, 759.46471652423338, 762.29398168337559, 762.43604786547064, 763.02475980241638, 763.71792353499632, 763.82515473533158, 764.32116161317037, 764.82720977420956, 765.78853934751237, 766.91166121399442, 767.9211068283804, 771.47120014449786, 771.7104599626399, 774.4912834643801, 775.17023780087266, 775.82819266411877, 776.59579979411467, 776.80274471392761, 776.94978128765649, 777.34919174383992, 777.41930719112406, 778.21125461457177, 778.8245088454612, 784.58128903435386, 784.61412187866279, 785.0198485966049, 787.57429138111104, 787.86299759404949, 788.25518000822501, 789.13042412819971, 790.23861301002307, 790.44954578061493, 790.61364886946853, 791.41122599149423, 792.73715078704606, 793.29431486628778, 794.96922356429457, 798.73773965978319, 799.19926092417256, 799.58132315659827, 802.85632098488168, 803.29095512787092, 803.41485848648381, 804.48617340565136, 804.54232676066658, 805.13505115665225, 805.19634728517485, 805.77544692771835, 807.3655560170572, 807.44512581619847, 808.97216265245322, 809.5871514515062, 810.15395547974492, 813.79718875325932, 814.25885139222464, 814.9798492415415, 815.09993572412532, 816.38525974007973, 816.98376057821861, 818.09097645483916, 818.56911672771457, 818.66256030039324, 819.47025086778342, 819.70780768200279, 820.19911487435388, 820.55514418501764, 821.14566587187426, 821.22882569063609, 822.1933331647765, 822.39458467832765, 823.61527498444877, 825.53839424310308, 826.75098625038447, 827.06354814273641, 827.72465260061983, 827.98089015245807, 828.53726745686049, 829.16621774957696, 829.68335559558045, 831.13332674760863, 833.16767125004731, 834.17183792072956, 836.39069110043147, 837.82860146846224, 839.28556643395075, 841.49664908357784, 843.54586386168319, 847.09780974917328, 847.12487509416667, 848.66605642568868, 850.92928419367638, 851.01183787219736, 851.43323352058826, 851.45476685520509, 851.51099819825265, 853.16430340947034, 854.97109836203015, 855.22344906901469, 855.31932910796957, 856.11015134983336, 859.6253350143412, 860.37849073512689, 861.02430976566029, 862.67298361164103, 865.94085149659918, 867.54394577336814, 868.94321384285013, 869.8484122608578, 874.48196701510301, 875.20911729575221, 876.36003829870867, 877.29563049446847, 877.59908047414967, 878.35242112095705, 879.82494901561381, 882.82017604240468, 884.45613310060935, 884.87954359177195, 885.27784533936597, 886.29777248486346, 888.01626069873248, 889.16757979917418, 890.09711582341367, 890.64513225917847, 891.8859224142617, 891.94170250651746, 892.47107690378675, 892.6104043608218, 892.82521676752867, 893.36008263596591, 895.57481437240551, 896.47951158951378, 896.67146995338021, 896.92240057811296, 897.7879996012972, 898.03887419072328, 899.82496710685609, 902.5929255876149, 902.75689765599475, 904.24503914474383, 904.56441605463249, 905.35338605574645, 905.56047793873051, 906.07885624935363, 906.15682374607695, 908.13485891683683, 908.26038523459385, 910.55366539630688, 911.34579195427682, 911.49080540543434, 911.87361002278283, 912.6879920245957, 913.6634149658305, 914.6934272288288, 914.88839611505762, 915.99248061971798, 916.36995924862424, 917.8163775872689, 919.28079245461413, 919.73792952120129, 919.80229204572004, 921.6535639976031, 923.03440628100157, 923.85143171944651, 924.64394242917672, 924.92275321527984, 925.35610765994454, 925.54771141563299, 925.74764176139172, 925.900133275862, 927.41500226140124, 927.52899371483113, 928.30070875744138, 929.12677746540771, 929.78728889850311, 930.55743489500219, 931.00832028743559, 931.09456014248633, 932.98624673816266, 933.03081000764359, 936.44361719278561, 936.68097404157504, 936.8465469492304, 938.10910276882589, 939.07537679093912, 939.25427185554713, 939.94491701794186, 940.84271994241772, 941.98433794407106, 942.52236021435715, 942.59988718229431, 942.78133515038292, 942.86764604758287, 942.89673353763897, 943.91211849544186, 944.25990634371897, 944.54484519609753, 946.45155966966934, 946.80391899245899, 949.31691156045736, 949.68390069852398, 953.84816800171564, 954.16201007965935, 955.777795850497, 956.68293708022884, 957.0792235653189, 957.89999622911682, 958.06555761812922, 958.38593233501399, 959.48977199881926, 962.84943795127253, 963.39007557298805, 965.13521661940342, 966.12077582386598, 966.74506376287059, 968.32830735299297, 969.12803921945863, 971.86998057426956, 974.12555430410021, 974.76286229005427, 978.24961757385529, 978.88407672962285, 980.35660857141045, 980.7341873459178, 981.35974318766978, 981.40403960956974, 981.98152081940157, 982.69371264265044, 983.2951510528211, 983.63366320800344, 983.79646875055209, 984.3175868581236, 984.96677066740199, 985.23706086183347, 986.03002235713427, 988.80279669666481, 990.71557394256297, 991.3950740743752, 991.47866974408964, 991.80687744350018, 992.78136738140267, 992.98649200096804, 994.75858805977589, 995.06413714702626, 998.82309400235727, 999.08892776224013, 999.14244861169323, 999.17314657595375, 1004.503775800762]),array([95.021218296127159, 96.381606390872662, 96.807460102435044, 97.735585155106449, 98.19236706226296, 98.863539445242267, 100.38388993188153, 101.53398182773832, 102.68565108543795, 102.70862384543165, 104.73997583881214, 107.78817886927854, 108.22347048497697, 109.38186217338601, 109.88137237076569, 111.23996880187173, 112.42932251806194, 113.18138600078743, 114.35671875778753, 115.28729562204863, 117.86672805368525, 118.59631202014029, 119.36169155366187, 119.41396801491639, 119.67529708041386, 119.69633759485693, 120.33963707876691, 120.94327402188252, 121.2043652236035, 122.78877116489011, 122.99987068473446, 123.9804436310956, 124.31233267493106, 126.29135108217328, 127.49346753846689, 128.7204292539827, 128.92324124876009, 130.45660053813791, 132.18205243633719, 132.71513827446694, 135.31526472665732, 136.01913343156028, 137.19680600735168, 137.26056856364775, 138.81585678624398, 139.2742199606499, 139.34669791249289, 139.79672178423792, 140.00563180911405, 140.5799649132554, 143.25657932779063, 146.13846151552872, 151.71394536969785, 151.8672866422942, 152.29267764734271, 153.163182796744, 154.19146177053753, 158.79497379166989, 159.72455642858452, 160.37533099084644, 161.51050308445289, 163.15769619076985, 163.43194385655056, 163.49075387843561, 165.17161548103837, 165.41383255838196, 165.78927663494545, 165.93755503760784, 166.19796062422228, 166.36064440082365, 166.89164095912099, 167.75636406406841, 168.01349202195229, 169.29075709669442, 170.59987400022965, 172.57063222576244, 173.73246112002434, 174.79288267415629, 174.89244116067275, 177.03825335130492, 178.09359260481062, 178.22159251409263, 179.02903085110361, 179.67887944734417, 180.48111431372314, 181.20503841314701, 183.19947728079165, 183.72035205836579, 184.39648339183336, 184.66508020061991, 186.93599656501215, 188.12699912544952, 188.64413862299642, 188.76128182824888, 189.59558635838999, 190.47066156362277, 191.07922490447322, 191.68020653674628, 191.78463428237936, 192.20937014236594, 192.42148006351096, 192.59823676463014, 194.81708404583273, 195.63800900757991, 197.15428370010758, 197.51842821625752, 197.63059479898729, 197.95080456379833, 199.58352739155973, 199.6051863263462, 200.15256228317682, 200.85859536645106, 201.18286690223252, 201.40219358291267, 201.57064236562951, 204.39232026862703, 206.81347567017644, 208.132942963505, 208.39497183375349, 210.41270881656123, 210.55025915724556, 210.58618259983061, 210.64096754364394, 211.09798164627432, 211.46782323362567, 214.3956661426727, 214.53642840739212, 215.97818879432344, 216.55104786079033, 217.10712546411327, 217.4081108991918, 217.54790798379886, 217.63628380614952, 217.84978550385944, 218.69749681116076, 220.06664960604419, 222.31076988578496, 224.40806917983784, 224.48193406726034, 224.70361469889744, 225.71149779912528, 226.7124685086446, 226.79740059099237, 228.0303048789755, 229.73355590555136, 231.67344642353783, 233.76512205302376, 234.24631437783046, 234.32122688950929, 235.13816201499097, 235.3181271395581, 235.83634252894896, 239.03956717715795, 239.71459179797691, 242.25507579972998, 242.40453708352752, 245.3477905680729, 245.69495056897779, 245.83019030627503, 248.15350349168324, 248.8882728630831, 250.99411193284072, 252.1181063012562, 252.88215529681571, 253.09063286122066, 255.25497183356518, 255.45230376253593, 256.09106528128615, 256.68040452401834, 256.79831707141125, 257.159559633046, 259.45877048777101, 261.33523056144043, 262.04258808731953, 262.37095730994525, 262.47187513786889, 262.85060271525288, 262.88373415708753, 263.12881186877638, 265.18382329004049, 265.2948498288909, 266.24069898067359, 267.0277757337181, 268.02555833450651, 268.90151029347112, 269.73136057836581, 270.78365894485597, 271.86782880909169, 273.19689648937953, 273.89987614808967, 275.42625077527106, 276.0139491712842, 276.2558932104958, 282.19310227555405, 282.880224447513, 283.2402799371979, 283.70946391302419, 285.60757274337141, 286.5498876034992, 287.51468627202462, 287.7490846168364, 287.86273345922831, 288.77630273031616, 288.94998133091792, 294.77917974251517, 298.03532623598426, 298.9508369839084, 299.72515751306594, 301.20724699342941, 302.95875083591341, 303.35170280281682, 303.73938582417719, 304.27415282830208, 304.47590888296867, 305.4338276946209, 305.73060283376492, 306.82825125106007, 309.20170396846316, 311.25196563569767, 311.7252502365219, 312.58026455360681, 312.78603982696717, 313.07898264484493, 314.00664807600765, 315.15891899021614, 315.20289246723729, 315.94555514923087, 316.08146968982163, 317.24154506170152, 317.29966792096525, 318.61634158577505, 320.01728593356484, 321.89073222533978, 324.104395051594, 324.41424293335677, 326.37231822100335, 326.94556683293717, 327.05965670295012, 327.65722832740931, 328.41314674490769, 328.50687625867027, 328.66955696369746, 330.05139069289618, 330.68815429744564, 333.04576572817763, 337.19018468704047, 340.87095919140444, 341.2053987807775, 343.97573965326433, 345.83187213107857, 349.70210016845215, 349.78984042664979, 353.69112875729445, 353.91445878697493, 354.54777686767073, 356.5203052009735, 358.92886107553318, 360.31152631825523, 361.81673302194901, 362.01135646118667, 363.83280702172914, 365.88940008705214, 366.311872154453, 366.93431665430251, 370.80349952238862, 371.14800960872338, 372.09939917189729, 372.68626002759271, 373.17509966506503, 376.12592128675664, 378.43961399075056, 380.5377018697381, 380.69721352424131, 380.78749968259564, 380.99693366236943, 384.84967217080447, 385.02672939828551, 385.37965577960421, 385.53052995743667, 385.90524167475195, 386.32336275709258, 387.03529762224446, 387.07346144041134, 387.59362360582548, 387.98730391549458, 389.44517082334323, 390.48668046417242, 391.08249703865101, 391.10457722481073, 391.4891580068554, 392.74015750028315, 395.51220807456815, 395.65862847694058, 396.28245137091909, 396.72132685629953, 396.80592295074104, 397.09059151637513, 398.1839909034444, 398.62727568012372, 399.13903336864729, 399.31284112362886, 401.42490107762956, 401.70847973117895, 404.02417435642366, 404.47954518720331, 406.08590800623119, 406.33958525329803, 406.51234403506777, 409.79983455251107, 411.03557285038204, 412.42473298037015, 412.60413683625734, 412.65865392916294, 415.00873269354344, 415.46379462333022, 416.92594411992314, 419.31074524090207, 419.38937634031822, 421.51521963651459, 422.13177040394794, 422.55049241349872, 424.05985913642235, 424.19733983974913, 424.84658002935629, 425.29443937738915, 425.76170933112888, 427.43204589866167, 427.48667858324279, 429.12844135471573, 430.05552458071713, 430.96693912257058, 434.92283584307381, 436.2888353348564, 436.35198118063306, 438.34298441995452, 439.84959208285909, 441.92893417762963, 443.81533176892844, 444.82077887910981, 447.3237508724381, 448.88787397013306, 449.62880505308647, 449.68795844742715, 452.45827647301741, 453.40480084338384, 453.45153705740637, 454.25539351611167, 454.33755363510079, 455.57943105185632, 456.10110284595123, 456.5004376097333, 456.89234472643795, 458.99360592049334, 460.01637410698964, 460.78200995628021, 460.89597755456731, 462.21674378202846, 462.8569771642413, 463.23960562766132, 463.84605235806589, 464.2115938485523, 464.28831806687356, 469.45087486795251, 470.40235550698344, 471.67958358494337, 472.09556940656626, 472.1739236293264, 472.31345816410118, 472.90624805961033, 473.15596278733597, 473.79742484498053, 474.08412839211758, 474.71326906978084, 475.41892614014773, 477.24759147028101, 477.57240709554367, 477.85032004497197, 477.87565471396448, 478.77601022253481, 479.71626899722293, 481.68652396933049, 482.83341840338073, 483.23021425892256, 483.3771094702501, 483.67394669318486, 485.38493794756869, 485.62611438138447, 487.73047990195965, 488.32864369156869, 489.14347802714803, 491.39939748325554, 493.51695353162461, 494.42773373444885, 496.78520859443438, 497.73490940394879, 498.9514894931084, 499.88596462299455, 502.72993395961629, 504.01197929677886, 505.31547903902612, 505.41469045015282, 506.68074194203496, 508.10996369695971, 508.81824573944141, 508.8860652321062, 509.01656239358113, 510.42741356384943, 510.46259364404642, 512.31259794891332, 512.77909383049632, 513.56539437750746, 514.11809142304344, 515.18120875279192, 517.37300228899335, 517.43656813838913, 518.59165472076108, 518.78792344448334, 519.29795076720882, 520.05376288145135, 524.86436664539906, 525.61320770437533, 526.26889160903397, 526.84149063837185, 531.38890258470462, 532.71786969053733, 533.93151565730318, 536.23759987408471, 536.48175101552681, 537.04991173290375, 540.09561919727923, 543.49398216505654, 544.09855340751335, 544.37983864875332, 544.73092213790824, 545.73680834363256, 546.2749573691475, 546.51315325148175, 548.32686372527849, 548.60619475587771, 548.82391057949246, 548.89028623406375, 549.34621378779184, 549.65421383927924, 550.99854152323201, 552.48714574449127, 553.32494038770722, 555.14293591977037, 555.73963100766753, 559.49040794681343, 559.61462538194564, 560.82113477377186, 563.17685123953675, 564.15392183421704, 564.28842848782267, 565.64404688152138, 565.78536520051364, 566.41174007286259, 567.13995176945707, 570.23516210201831, 571.25773840467787, 573.79367145096035, 574.30473031870258, 575.2507582760129, 577.82809982667641, 577.96724646862947, 579.53674623019572, 585.55627359138407, 585.99839832777593, 586.85578869331266, 587.05392392356919, 587.65802423132857, 589.24555773653481, 589.62653308725692, 590.068586318759, 591.45362032029607, 591.64418304774415, 595.05828373893996, 595.30971792536366, 597.54276722240775, 599.64448818667427, 603.33337340380433, 605.43013653191247, 605.49063066861697, 608.14330475724205, 608.29095279997011, 613.45450716649736, 613.50354583322382, 615.03486050196182, 615.19494017736974, 615.48183717318568, 615.9850818074666, 616.17328149567641, 616.67675436630589, 617.59203653748386, 617.621487305958, 618.66047161539291, 618.97820594492919, 619.40378007771176, 620.4962471846743, 620.78709424889018, 623.33844498501628, 623.56770973897551, 624.35100769295252, 624.84608928982016, 625.27612774572185, 625.51955321197522, 626.12194402608679, 626.40263311524484, 626.55187762561263, 627.55632327486535, 628.20935698669325, 628.61199028829424, 628.75099935356991, 630.1770657471742, 634.26979764258203, 638.15109576175132, 638.43697983678157, 638.98921029374549, 639.23296689159508, 641.79580102507452, 642.08769195179593, 642.36349311479478, 642.89912291344092, 643.03366066038086, 644.5307297272393, 646.91724115008503, 647.61322127345568, 649.04162764872046, 649.4817824286863, 649.77113519391742, 651.31970154214844, 651.59081672082857, 651.97935203495331, 654.39745891547045, 656.76314375089532, 658.00499124213479, 658.39268065516535, 658.821161151929, 659.3120932196133, 659.59663195095789, 661.68584799203336, 663.59462772466838, 663.78317137132615, 664.32129183099971, 665.42173141759838, 666.18138574400302, 666.47589766670615, 666.76840594787518, 667.84537340798431, 668.10037068260715, 668.94178521294214, 669.59141512938049, 671.51025271195761, 672.4154600426225, 672.7646185133483, 674.24859988105379, 675.74490255605508, 676.26121072260605, 676.63107245994934, 677.14598549547361, 680.48977810939903, 680.88517001785794, 681.17890068881206, 683.77901808822139, 684.059310298014, 685.15242775920285, 685.45420063609777, 686.01517963628521, 686.38729163417372, 689.10656471820937, 690.01271561828901, 690.5457315141922, 692.72013494439614, 692.8144382842778, 693.35475860780423, 694.50110088639951, 695.53902081204455, 695.95575426843197, 696.00166453012287, 698.12748253715893, 698.88346182261967, 699.11051528292148, 700.40324926493997, 700.89682534185795, 703.00502854105343, 703.80389298030218, 704.04350739232984, 704.79446231065003, 705.23385557450285, 705.56428888747632, 708.42790080187729, 708.74824296431689, 710.14617656270275, 710.57896640093338, 711.2537893239321, 712.05598322605624, 712.56162851821603, 712.97857493021695, 713.22583251416677, 714.64971587267996, 715.90918508112441, 717.60721483933457, 722.55512143833289, 725.05416426071952, 725.58392882265264, 726.04747151322738, 726.86762631213992, 727.28871013735716, 728.20751006139449, 728.98325194004553, 733.4426133173281, 733.9367466250726, 734.22484699702136, 734.72528742565896, 734.74535915711749, 734.81526710811647, 735.36473479590131, 735.88858573180812, 735.98617156389594, 736.67977801108736, 738.23831815992537, 739.09493894605851, 739.19206288175508, 739.36934095519007, 742.84081689853281, 744.00953592682083, 744.35763623233697, 744.89173769155241, 745.24957292357465, 746.3064849164391, 746.84388334380765, 747.99997284201595, 748.03388310718321, 749.28473481711285, 749.78023790986992, 751.44956495233032, 751.78133968598183, 752.08787130072949, 754.2690191702352, 759.27035124425265, 759.45148375873657, 760.53161907907383, 761.10222765412004, 761.26712250193009, 761.75941111035024, 761.99837888597267, 762.94929710212159, 763.6449503423122, 764.53760715594456, 765.85469225201575, 765.98341302095298, 766.99668547892293, 767.93485737177377, 769.86031224624423, 770.98689434182427, 771.04407105277301, 771.21742904006601, 773.34060049834113, 775.44523941614125, 777.33595641419663, 778.71422356540882, 779.89522198653651, 782.41970428344405, 783.65298052515959, 784.76463865362757, 785.35467926264903, 785.43681898072646, 786.05199947266397, 792.23232549060128, 793.65743133412172, 794.46467845456584, 794.50310416414686, 795.25048045277038, 795.78788815365954, 797.10273532861743, 798.51523937265301, 799.29452547739754, 799.65531214603641, 801.39926567740793, 802.19529099213037, 803.64952833131645, 804.18224718150748, 805.80595201406095, 807.96133662550972, 808.64951883581318, 810.28474462736449, 810.76944153687566, 811.28858898144756, 811.57029896204426, 815.88766512106429, 815.94112536148248, 817.1758717243207, 819.16281794473116, 820.33156735010721, 822.0534670601678, 823.40552999827912, 825.15662794315983, 829.60935800358038, 829.82989515237693, 831.58123997727967, 831.86752310295549, 833.80585385916459, 834.23995461340257, 835.15993374756692, 835.3426890201448, 836.28138034892299, 837.07370385979414, 837.55083777124401, 839.64391384452267, 839.90463452259098, 840.02831427565786, 841.3923901246917, 841.82781342468058, 841.89121515212639, 843.41484742016758, 846.0153651169893, 846.52608415474106, 847.28749117058385, 847.53143412885129, 848.11306740897544, 851.69072606650082, 852.1526597638109, 852.38066846888103, 852.85421226910364, 854.6981106575048, 855.91022714408462, 857.01941302983323, 859.9051136900606, 860.07360455890364, 860.40114890857978, 861.20769131536156, 863.72766257918818, 866.73881252585716, 867.75904074562504, 870.4212948869806, 870.73717858210148, 871.14848510597335, 873.2457231806095, 873.58429750762264, 874.90997568142257, 877.00644296415203, 879.56979755643067, 879.73787364001055, 882.81391999661059, 885.50783464989388, 886.39805722790027, 886.49849401712652, 888.17550464716032, 890.82203459832238, 891.63012720594145, 891.92801363315368, 893.20880529898602, 893.4992588473109, 897.53723443756928, 898.54087323399028, 900.62568688590602, 901.00913325268368, 901.60677293559843, 901.86225316558307, 903.8603821399854, 904.68739416353662, 904.81185052679848, 905.50299209419063, 905.57061754685151, 909.69130311277956, 912.4040560198282, 913.51180304752609, 913.72459866673228, 914.5709453316548, 917.48265938035763, 918.56982993277529, 919.38668937146258, 919.68979985846681, 920.03118437166438, 920.10589028900756, 920.85073768360951, 923.24145462334536, 923.6262937730985, 926.28915520786006, 926.59958458025039, 926.86696612988089, 929.36259185665358, 929.69060788152217, 929.74916780693843, 930.59192712025515, 932.44520387997136, 934.17618388585572, 934.77658049811657, 936.26309870908221, 937.92178801315185, 938.12236196995343, 938.46342213501134, 938.6188012221437, 938.84470183470853, 939.22597911033233, 939.31389559303761, 940.24415776168848, 941.06601634119181, 943.62035767830048, 944.6861889201823, 944.81469260056292, 945.16957952646271, 946.13550544777206, 947.58895745417738, 948.18350041575036, 948.25897238024334, 948.61294594360459, 948.91122738242871, 951.03936550559786, 951.35044798382444, 951.63965061103852, 952.0161330277308, 953.13608143245233, 955.22674001315693, 955.67272853918416, 957.24199025390567, 958.22915191942946, 958.94030460861438, 959.99402462897456, 960.54431230546538, 960.95614424343228, 961.26150036652791, 963.03149253500249, 964.96579314706491, 965.0057289669536, 965.59424249115045, 967.268260356577, 969.30338516146787, 969.33245070988448, 970.20419810325848, 970.60863650152726, 972.89632261560234, 973.40182062256167, 973.88340921877989, 974.68683706168565, 974.94345050508241, 975.96368648415603, 976.70752574722997, 976.87100754799792, 977.68705580795518, 977.81563526871537, 978.51112166373332, 981.97560252196547, 982.17153194449691, 982.43500685273614, 983.00858100233006, 984.43481769883829, 986.38053253705118, 987.94105357837714, 988.27696128685886, 989.7144352869517, 990.27632740395757, 990.66622132417592, 990.7814173620493, 996.39589677169761, 997.20340579747699, 997.54478164649629, 999.98437191403991, 1000.2720391082171]),array([20.637618361033304, 21.022950342218525, 22.018326049091474, 22.194832168737147, 24.060453818758432, 24.162714834341852, 25.091962026699591, 25.522618918264332, 29.411312322221402, 32.213810783483602, 32.643795216375288, 33.046195917413179, 34.576876696443144, 37.666555112565156, 37.694670370419729, 37.853668431283594, 38.294782173901993, 41.351262636934756, 41.680734363598162, 42.43675837869538, 42.613576933810805, 42.797586005189977, 43.334508232792473, 44.300268058558565, 44.438910425110045, 46.022729387780103, 47.735598862890001, 49.887750086983829, 51.020441126949564, 51.847134729430316, 52.810031608634212, 53.712283715699463, 55.076134356497938, 57.539577812471713, 57.845347503746147, 58.639393558858018, 59.574156500791759, 60.107297961003297, 61.934309994633665, 63.370630410405091, 63.424490912821277, 63.860937853411869, 67.292982828006359, 67.991953240384703, 68.483346315888397, 69.286450883137107, 70.34402338275261, 70.385554548442656, 70.632685351603357, 73.126927834588869, 73.289637144126175, 74.941465567144022, 76.227509666428205, 77.099920449840624, 77.179729637759465, 78.898781599757427, 79.437769445298727, 80.11132132402706, 80.901356333019265, 82.582645488949254, 83.04625071802009, 83.972083428839866, 85.539752492245583, 85.705812452149644, 86.277723615030155, 88.170618031958384, 88.20388319641873, 93.888201347075764, 94.211558585423518, 96.101218831893064, 96.801061325674254, 97.006555490094669, 98.852533506338077, 99.515061409405462, 100.02353887816615, 100.16889446241247, 101.71988979405326, 102.74769023181992, 103.78176441221574, 106.58909512517607, 106.65386301902856, 107.18055383167625, 107.42002188344618, 107.55636968823204, 107.77500796098168, 111.64309729877569, 111.95761817098847, 112.14069931296579, 112.27297910087562, 113.57867400172179, 115.82740105742964, 116.07544605154654, 117.56300212100284, 119.18482623758263, 119.68961743918067, 119.93900021568244, 120.38657285282405, 121.09241823455753, 121.4596358246777, 121.48858000831882, 121.8396038644743, 126.34030417579939, 128.21731367328303, 128.48153310436058, 128.86386213837901, 129.83912399841361, 130.2491915927319, 130.41384682696403, 131.2057908865435, 131.40290305802694, 132.11349677710615, 133.05499416310704, 133.82814785986832, 134.98564957182967, 136.03817492392702, 136.12991769033911, 136.61672881876845, 137.42808166660413, 138.54761141617848, 140.28432768924097, 141.14788476633268, 141.35963225755688, 141.89957979405102, 144.3785770872216, 144.62014966617195, 145.00779035728706, 145.45465311949221, 147.92952600456363, 149.38948437813534, 149.60824693843068, 150.67516180605568, 151.82854322198514, 151.95543892300273, 153.00562858323738, 153.5266550265921, 154.5897227484873, 154.64964972831336, 155.15161844087078, 155.77111492971432, 156.2403462367173, 157.52589741761179, 157.57328797974327, 157.95553861769207, 159.48012156656051, 161.33425913073589, 164.35093970907832, 165.13871337656406, 165.81396922869735, 168.41655761373133, 169.26290006042311, 169.29875854853512, 169.99077771959114, 171.9165613399833, 172.35361465316836, 172.40041277777738, 172.68186299476696, 174.08357432133562, 174.25374508738273, 178.35830124997614, 180.15115615835626, 181.14091825255673, 181.6887412768132, 181.9844748846341, 182.24439836757907, 183.21931661603858, 183.63788225440138, 184.59062473181757, 185.63897619277768, 185.73812846689998, 186.93020981945395, 188.01068763584854, 188.49133994488633, 190.51349969532714, 191.70151666456093, 191.85737225171158, 191.97738396851486, 194.65652508777387, 195.28366131180101, 195.68105109668699, 197.28625640281376, 198.2947628566418, 202.86845393598313, 203.26301140683162, 203.8927531123708, 205.5863316064393, 207.21291984536873, 210.36134955693782, 211.8112654086639, 212.20199917141375, 214.86371765986931, 217.03263327653627, 217.36408223928063, 217.56756017906335, 217.73626971942829, 218.53146403034302, 219.09581496820115, 219.47229106572769, 219.60715791572557, 219.63334035432285, 219.7656854990806, 219.99151596791697, 221.63084062822298, 222.69150811479318, 225.6419110680983, 225.72621285337601, 226.83391925962948, 227.04017708512112, 229.31182902375559, 229.64159700634934, 231.04684734914153, 232.6183682286285, 232.80897719806248, 235.01054439084808, 235.28568103548076, 235.31765280742084, 237.45836532665257, 238.49375693025874, 239.06525018591282, 241.2822512184562, 244.16414765199261, 245.65092360568116, 245.7365620949578, 245.88399010069469, 246.85943291949846, 248.76837842013944, 249.78418913171413, 250.24982658955994, 252.55936755273603, 252.6128115056118, 252.81348360053414, 252.89248022407199, 253.50064968922666, 254.92745898609363, 255.12393990721105, 256.28048613911164, 258.68922076748527, 259.62707309626751, 261.07129821696395, 263.80514769821201, 264.75411399083396, 265.23199590036558, 266.60117509568499, 267.19603923359978, 267.22514081364409, 268.60773225607591, 269.68580963158178, 274.01968153302465, 275.45086955932555, 276.16448199780518, 278.22715994472992, 278.83920667879892, 279.74195159792509, 280.21851662077592, 281.51380155129982, 281.79182970819545, 282.93315529480248, 283.94795015931828, 286.47745852032313, 287.47402313953648, 287.88401432342732, 288.03678670818954, 290.42380762202606, 291.41540251833402, 291.46200681662185, 293.81554557542285, 296.90190960031418, 297.06146118505688, 298.16799276195371, 300.82982597702181, 301.47830355957933, 302.04651376310301, 304.61340213904816, 307.51109659398196, 309.96244105900917, 311.06695557095577, 311.22883416803137, 311.30809056627857, 312.08789764822183, 312.29399201431488, 314.77964947485793, 315.03346520960889, 315.92867390139105, 316.53067171655488, 317.97517019231634, 319.2668269563016, 320.89721287782595, 322.0509217760906, 323.10248065135539, 323.95645305079927, 326.008876540382, 326.16309490330099, 326.25474646534457, 326.46853506324862, 327.82521746852149, 328.80953537510061, 329.21367986879619, 329.7800692191359, 329.80499624160592, 330.04081965761134, 331.15047109100601, 331.25338814329359, 331.56272746842387, 332.67747303187343, 333.07413333489342, 334.6553873853361, 335.67095209921973, 337.43347823348586, 338.25929151109978, 338.52180602451591, 338.71690563809528, 341.47763027409655, 342.10276049023474, 342.44707685738018, 344.12111357205163, 345.5092647321685, 345.75788217216569, 346.12971178527573, 346.33332346469587, 346.45062244790819, 347.80657962119773, 348.31853933182873, 351.80567129370314, 354.13882769249943, 358.96155095673794, 363.04997607612904, 363.24848199979215, 363.29917134635735, 367.68033095295323, 367.73230846117275, 368.11448671450955, 368.14386759046937, 368.78265922539271, 369.78899845298838, 372.31897849485495, 373.76242907800707, 376.17274829003071, 383.92521462425736, 384.0168125939872, 385.1114160182529, 385.91248587909251, 386.36394219139993, 386.88217010938382, 387.8971284243259, 388.35731720615337, 388.935495795279, 389.99530689904839, 390.41987621912591, 390.79786801272786, 390.91621356913106, 393.45547010231024, 395.09678621235304, 396.02311492743269, 396.14859254379257, 396.38189138703672, 396.69918222439043, 397.12171800857595, 397.27601060051762, 397.50193572840544, 399.07600960421416, 399.4688135932995, 400.7796526517248, 400.93255825289361, 401.67810035168498, 401.72857266677545, 402.11750765257938, 402.58146381347353, 402.79513710086542, 403.58849946453927, 403.82056284682449, 404.16307710191211, 404.31486206821103, 406.08349935758446, 406.13293750236556, 406.31617641149035, 406.65896683166227, 407.86016595202216, 408.53087261262743, 408.61744798964463, 409.35724030077, 410.1659923058636, 410.99636487136735, 412.43293535998635, 412.69997111785875, 413.51264752461668, 417.40171974263501, 417.42982898108465, 419.93228793684898, 421.50733602945758, 423.74102471698558, 424.30356536351809, 424.64686050873462, 425.08886673274242, 425.39908861570211, 425.82136662716971, 427.8437209091822, 428.11360897952295, 429.27339113968878, 429.79564079974762, 432.21573208552871, 433.02553528747916, 435.29780820178075, 437.2119709443063, 437.37697582378627, 437.70708374258629, 439.90719016962572, 441.46131832099559, 441.91831823974434, 443.04948089049708, 443.0963289713855, 443.543011536059, 445.20936819143225, 445.84340211443754, 446.583202952764, 446.96133540881925, 448.85146639179311, 449.24961167468149, 450.75567581084505, 451.29094359910579, 451.78987216783116, 452.88687479438755, 453.53966877698463, 453.86331304772409, 454.52197932816284, 454.64096813458627, 455.22049379046592, 455.59429847365931, 457.61059480387081, 460.37315322142786, 460.95397984371016, 462.24187079602132, 462.73591602742397, 462.81258667598826, 463.04383296755162, 463.1659123878506, 463.31077663645652, 464.18671806948527, 465.52621581662618, 466.38024509412054, 467.57420188480978, 468.26684911966004, 468.40959868366048, 469.71324268542503, 470.0932515367283, 470.18749093797192, 470.43518779115999, 471.24789297653541, 471.30367449143392, 472.23730963120153, 475.00360604779451, 475.58609918143958, 476.03279281293857, 477.94889755169055, 479.76817463534786, 480.28123244467088, 481.02118655491938, 482.41609763732885, 483.10494748743383, 483.35820497396304, 483.88577326355465, 484.17867877932269, 484.88317074811334, 485.18502038089173, 486.3885850154885, 488.79649652922478, 489.57398176117152, 489.76204170392072, 490.40302108827115, 491.72257498744068, 493.38526376042313, 493.97175091858435, 494.5656005875893, 494.62279101497148, 495.73905137168873, 496.67370590083237, 496.99153403928398, 498.31612750325053, 498.80756330229747, 498.98320863483639, 499.9020369295049, 500.33604228412344, 500.93798032390299, 502.58326748756315, 503.83072573298205, 504.66483347718736, 505.08332635774991, 506.02355476059046, 506.96994234565256, 508.03436899855774, 508.68294984916923, 508.7291749897384, 510.30416729826686, 510.54458419784402, 510.64236463959031, 510.99094903545148, 511.21979203486592, 513.22691133171281, 515.30963047557543, 515.65475106326653, 517.21389895708433, 518.33500976056632, 518.65276375044755, 519.12629510290219, 520.68860616365123, 520.75901843050065, 521.23596036933247, 521.63850913172917, 521.96500312124886, 522.26440448469111, 523.58679850830845, 523.66908123321934, 524.05787362630008, 527.20007059342197, 528.56142010709493, 529.17297216146301, 531.07544894647549, 531.24062100039419, 531.6572561207031, 532.53314557042916, 532.7916175065817, 532.97565824565072, 533.9420760912293, 534.06954820265878, 536.40667484674736, 536.58141510606072, 536.69001489784489, 537.75678582788123, 537.88237284380489, 538.02913562807817, 540.0316884432392, 541.42350315704368, 542.03823957528675, 542.93532177540123, 543.00889733829047, 544.22120185633582, 547.08329438598344, 547.17507953255779, 547.53571842885106, 550.10162715142405, 550.39536756380744, 551.47732699915298, 552.765553082873, 554.22975322079787, 555.37638949913105, 558.49655698729487, 558.68945926788194, 558.78526607190042, 559.51106155741559, 561.19818442631549, 561.80014574647419, 562.55307636958332, 564.37516529352024, 565.07123144095931, 565.94702359059647, 566.15022399674717, 567.12837441389945, 567.67761228015229, 567.82243127832601, 568.37478089156218, 569.21641420365199, 569.71400058309746, 570.67655345063042, 571.28824664029707, 572.03397851781074, 573.18101381907752, 573.82985856081393, 576.47810629058699, 576.86040865735163, 576.93576494372201, 577.17150418328845, 577.99815712951704, 578.15191416235712, 578.52474904351254, 578.82694294994633, 579.83969609885469, 580.12499119123504, 581.30783885610629, 583.69363136240031, 584.13247842401472, 584.38247628299223, 585.25395472543778, 587.646936631926, 588.02740484306241, 588.5929084764955, 588.86473968056657, 590.7490641297594, 591.33268247229671, 591.7973433470172, 592.03090768453592, 593.10143567253772, 593.34764552181753, 594.9096180873803, 595.42484665525035, 595.81678063136223, 596.52631177436444, 598.92950694867477, 598.96629327733922, 599.0978367811399, 600.75901673649958, 603.03019526440085, 603.51994549172662, 606.54153132437352, 606.65845786210366, 608.13368517500078, 611.26663402417648, 611.36402427543908, 611.57556458775844, 612.64295120066106, 613.54425752307839, 614.02967144568618, 614.09751999501646, 616.62404578795019, 618.41830441618208, 620.26621918706292, 621.25432765229152, 622.33022899599052, 622.53752903447491, 622.70532535099107, 627.36153959799492, 627.58997476796924, 628.00726914550285, 628.60101775130579, 630.91328647564194, 632.89797666080483, 632.9415777710841, 633.16288057543466, 635.08597407797947, 637.41135839911249, 637.57507516734734, 638.76350964104654, 638.87216539491999, 639.24968716004264, 640.77475419802181, 641.46384686028409, 641.91449320959543, 642.34223189356362, 642.45698449360214, 642.49542080970605, 646.16624381107601, 648.71753238947326, 650.92924490077951, 651.29536817095106, 652.98981821548432, 653.20681998026168, 654.2547050497493, 654.55189555720381, 655.08039951558169, 656.53520191563814, 657.72174925380284, 658.68296899075494, 658.86499094750263, 660.50190952217611, 661.37523954229209, 662.25681806061834, 662.37477813832743, 664.73584928050536, 665.08887565119255, 665.50504915998135, 665.76154984269067, 667.76299861411303, 667.84211017247628, 667.88987855029848, 669.96050471945875, 670.7325878365474, 671.03595209540595, 671.30440690773696, 672.3155944613776, 672.85802246643675, 673.01662226229416, 673.23000447401478, 673.65549686840586, 674.49555527795076, 676.18448798388204, 677.87597184042886, 678.03178291061454, 678.73150299068311, 678.75399418868892, 678.95113832299455, 679.91756208427478, 679.96151269638585, 680.59171710307567, 682.27470258198491, 683.06402704542961, 683.74779883784277, 685.29752043648261, 687.06171370405502, 687.0854079976823, 687.707353792091, 689.01840155617413, 690.36366256315443, 690.54116535494506, 690.82546242466083, 690.8667055846563, 691.64151691415168, 692.40684308787456, 693.42702508448247, 694.07916082802285, 695.48010636697586, 695.66149074168663, 695.87915329114992, 696.85632434386252, 697.1828115600473, 697.34934239365396, 698.47715626757565, 698.67002878388996, 701.40298780553258, 703.86699823353922, 704.47595927816485, 704.68470317492358, 704.95104181027091, 705.13701990950869, 707.11652769542297, 707.15986852015089, 709.35504512491389, 710.21197366663796, 710.3685908025758, 712.31349057205841, 712.8481112763094, 713.17011648370726, 715.75157577462483, 716.68908187871205, 716.81510563208167, 718.17203967310513, 718.34081578689597, 719.85516193522142, 719.87820491797709, 720.39547292366296, 722.98315535597646, 725.35615376363171, 725.38162294835593, 726.72180836029247, 727.43821146884579, 727.47033415331725, 727.93417427614304, 728.01387307964535, 728.18241408560448, 728.48774975396691, 729.35021286189965, 730.12677867215734, 730.24244581321386, 730.27806616213513, 732.54369511946959, 736.54119373123842, 737.19400087160409, 737.36281098345842, 737.97458171205915, 739.30616626600283, 739.57642279802212, 739.99121197446402, 740.81461909231234, 740.87106143504741, 741.60352476896298, 744.41952395189344, 744.88870124964205, 745.07682475442232, 745.76427548994855, 747.01829076649256, 747.96217287793536, 752.51389174968847, 753.62587636074102, 755.23525646325527, 755.26178934875452, 756.2906593577502, 757.07727748828393, 758.33624417606131, 758.41666683756614, 759.65988992096993, 760.01409420531229, 760.26438272670634, 760.83912319941726, 762.66861378387409, 762.69091397232683, 765.60123899246287, 766.08920125827069, 766.63075439141028, 767.39167273989744, 767.64222252484331, 768.91594225380197, 771.23934076912985, 771.82280027206787, 772.24765999642534, 773.15980194845349, 775.45102154918345, 776.27590391308365, 777.06757407158511, 778.33074133975424, 781.34688719157748, 782.01190574974703, 784.49704807142939, 784.98472793799203, 785.38577803318537, 786.12415564047205, 786.44070438687311, 786.70643237930551, 787.54718751281325, 788.17458296393352, 792.2810634913692, 795.35809379929458, 798.52436706290757, 799.42893951415988, 799.91166753339701, 800.4665612946352, 800.71195814307544, 800.95051366265523, 801.48098140793411, 801.74742959368621, 803.11988690852456, 804.17078999132514, 806.06488347693028, 808.47945213280116, 809.01107878169137, 809.57981903826726, 809.8847029061593, 811.11115670873426, 811.24029455587879, 811.64633500674347, 812.21500869519116, 815.31493279808831, 815.85335061863827, 816.23974894615674, 816.9311133032237, 818.67250451574114, 818.95604951381301, 819.24618174695627, 820.65512872252964, 820.86253152466043, 821.40309041776231, 823.30331515811929, 825.40841399180351, 826.39855248304946, 826.45546497762484, 826.83039892616569, 828.33933535632355, 828.72077531628372, 829.57671906609175, 830.88833017600371, 831.58883603750689, 832.17716838703802, 832.35998672000665, 833.16220800144799, 833.83775106297526, 834.12564092776222, 836.48692200173286, 836.61701099817401, 838.02323556156762, 839.00306331679576, 839.32640463869006, 839.63138717715162, 840.01322841513024, 840.55167945312849, 840.73700188500254, 841.02087084731784, 841.29485934539912, 841.97710813021342, 844.34783827967044, 844.41008630189788, 844.51930740460818, 845.23191807593741, 846.24891420031042, 847.04527833782777, 847.92249682365377, 847.97520702177826, 848.03165461344952, 850.42475651943039, 850.53523500362894, 850.68000213806863, 852.11530061117344, 853.51223725745319, 853.74489811724482, 854.44132177178528, 854.75004889243417, 855.30604942969649, 856.01405344791488, 856.71532013891999, 857.48981744528226, 857.55458729012946, 858.21730642672958, 858.47987926460871, 860.36710820855444, 861.65821928096659, 862.4572699843277, 862.75748341678741, 863.3814203832402, 864.44271917371827, 865.24716037834878, 868.14678579940551, 869.64874186581994, 869.70606099533029, 870.12513374297839, 872.58224475549957, 872.99861810973732, 873.18102089562319, 873.95625895019452, 874.3747557999809, 875.56602781364143, 875.94519986350451, 876.16767368888975, 876.27086065178037, 876.39599532286445, 876.4866186938109, 877.09984637981586, 877.42664961245396, 878.32588786994938, 878.53550415512586, 879.25717725178879, 881.43245812547809, 882.52832743057388, 883.7447325950518, 884.43811879105692, 884.79003645746457, 885.45039972688676, 886.6670649310397, 887.13580650811434, 887.84056057652447, 888.83387687984873, 889.86734578911137, 889.97031539989553, 891.86596723379751, 892.01383812212964, 893.29898533028768, 893.78550373648488, 895.08872685533322, 895.91936383961274, 897.96354479313811, 898.8771456235321, 900.33573059084915, 900.70798304798075, 901.93916189433139, 902.27637243301706, 903.29773629427643, 909.07463515301288, 909.78044355519114, 911.00277424978322, 911.47142293910565, 912.67375607362408, 912.74479290745751, 913.22729499410332, 913.69829022279794, 915.46802263521988, 915.6276154360753, 917.85750933290785, 919.01073388112059, 919.79486897651327, 920.73506902656322, 920.77539549106632, 920.89670232322931, 921.06112268147103, 922.2258106626457, 923.88480158913683, 924.43014441566459, 925.17920843757281, 925.85991175277206, 926.22805512272294, 926.43467331375996, 927.2818242654547, 928.56197411659582, 929.41299201264633, 930.21018225593946, 930.31487610645422, 930.34161039041931, 930.64605086628251, 933.09197069806396, 937.8555423300744, 937.93770463835483, 938.63220867224697, 939.14721819200133, 940.83312585777037, 940.89508755332872, 940.97497985654627, 941.66324313951691, 942.90141289105247, 943.62793241143231, 944.58887150895532, 946.29399957337421, 948.68127553289673, 948.96582382939403, 949.70398280866175, 949.748805268095, 953.95180013228844, 954.46877950646888, 954.68143614369967, 955.71970342502152, 956.26184534255674, 957.05310862634042, 957.57357163342272, 958.34163891013657, 960.53877141193595, 960.8446530851005, 961.83532768439682, 964.22086416224204, 964.61124838836724, 967.28257306359421, 968.79297729168445, 969.29676968551007, 969.56743538017895, 969.89041527581287, 970.45843371618355, 970.97186467109566, 971.13126517249304, 971.47626202999493, 973.87375663630291, 974.01210025464889, 975.71312789530532, 975.96914224672798, 976.67882342399901, 977.13298451684511, 977.50580919507672, 978.12350811871852, 979.32323399005065, 980.54240504027996, 980.75272398375296, 981.56352987193281, 982.50392823171182, 982.55074132032439, 985.06113497202421, 990.56168667989004, 991.71036514175785, 993.20398634688638, 995.99552271785137, 996.97955450836798, 997.44099164199963, 997.79486778459147, 998.6199185344384, 999.44755571660005, 999.69755174854743, 1001.2742494623158]),array([25.795005527453853, 25.920675535891803, 26.019058810721461, 27.278848093232554, 28.570933982353374, 29.324229370406719, 30.957301828468836, 33.653667730002596, 33.767986511997563, 35.278106897351414, 35.708684317046057, 36.814830924091389, 37.16938934167402, 37.605354540444054, 38.046692673533116, 39.232758240977262, 40.414633902722144, 41.346814606814021, 41.62304162839029, 42.324704258173149, 42.721940430978712, 43.085355762015979, 43.911044491355696, 45.112020999999459, 45.238184387125123, 46.069896303211692, 49.421818777816817, 51.918266610762466, 52.184201992379066, 54.745700079919104, 56.08711521022316, 56.279709849248263, 57.083830888905737, 57.232685038940069, 58.454867409361889, 61.255200193501018, 64.352732639225025, 68.354431252820532, 70.601521343210493, 71.63786871150198, 72.194300564170959, 73.659085693552257, 75.660354886237016, 75.771020711774256, 76.66809284238289, 76.696354391013955, 79.241570230020699, 81.452601051589866, 84.056783371744956, 86.002336880869578, 86.18808826306369, 86.31261024390659, 87.044313955712454, 88.868389011006258, 89.477403083322159, 90.590414084740601, 90.679772369740206, 90.863113060026208, 91.046064577340019, 92.621314902194257, 98.135046314513758, 99.321311769898884, 100.76135583030874, 100.96129291293789, 101.29606403803416, 101.89235419721655, 101.92193023097131, 102.81751353136742, 102.86692861194997, 103.98631492905776, 104.15824160715044, 107.7372931392447, 109.52592520239006, 109.60813205485144, 110.1356766336846, 110.19460956120102, 110.89976531730963, 112.98967479757361, 113.02245924413627, 114.23234331339204, 115.38392290226719, 116.85183643209506, 118.26645491689767, 118.95354661621471, 119.08746681862827, 121.51305535426428, 122.48380825665072, 122.63204301722463, 123.09844374444478, 123.97100799694825, 124.00079907628097, 124.16383024319063, 131.01688093127717, 131.23193466232806, 131.59311926223546, 132.64911093437902, 135.98650768403016, 137.12541466990459, 137.37830551939493, 137.49031127041889, 137.62387380673363, 138.38313393955389, 138.92569789149178, 140.55258982232866, 142.98691301123552, 143.22438233037977, 143.36732572806903, 144.07237540145186, 144.49966229577507, 146.26546996157799, 146.3806196972204, 146.91924173695492, 147.66397509368508, 148.02521764020074, 148.35472745542845, 148.78873342611357, 150.33889610774065, 153.5818982367075, 153.91772247139403, 154.08264238228253, 154.79985968364664, 156.1723406447588, 156.93775231523918, 157.61181965128949, 158.61190703819753, 159.34152679716868, 159.65709396353688, 159.78842970708553, 160.74667090142867, 160.98175652820831, 161.11728882956305, 161.3694731358911, 165.04445871455312, 166.31798118529852, 168.42252036350322, 168.60062115399299, 169.14630064016347, 169.32428360817212, 169.38461105447823, 169.51263483916006, 170.28972612725153, 170.90532833431774, 172.01101524606659, 172.03156148645209, 173.53068897385521, 174.37541418889163, 174.91407879879765, 176.82825145639225, 178.59870032844512, 178.93629680347379, 179.67976540838077, 180.03085284421908, 180.27457607557778, 181.02142780955194, 181.25016947195388, 182.01564889451768, 182.62198944924032, 183.02749684860427, 186.36945759066305, 187.06938702590324, 187.90483439065858, 188.13945156476387, 189.20534787273334, 189.44361695519044, 190.47890894098617, 192.99136040738333, 193.60313213057805, 194.34733396052189, 195.69831175505985, 195.8537713889221, 196.37328493727878, 196.64488831217452, 198.76324687015716, 199.64685495364819, 200.0653294703956, 200.24714997800177, 200.30290515459981, 200.46303870277316, 201.92612593992024, 202.31516525070811, 203.36146163488564, 203.55077215102341, 204.21336378498944, 205.05486115692329, 205.49826545851758, 206.17156744638422, 206.24907740802908, 209.02975200945016, 209.15744460917082, 210.19755770277609, 211.56600246155224, 212.11481789675796, 212.35632457522283, 212.99815029361571, 213.67538050428709, 214.01323304397397, 214.20103743116084, 216.31651812392479, 217.53892692431779, 219.42139093496121, 222.47102493905408, 223.30235349009922, 224.51629637899683, 224.58650168735988, 224.8033970821279, 226.54513866108056, 227.34096558833562, 228.37703894155641, 229.32978035161361, 230.55970207772739, 230.93264998198467, 231.00132064580538, 231.69668162610122, 231.9951268733677, 233.39864863682394, 234.93181363618115, 235.7160241346574, 237.12735283912204, 238.18098748409142, 238.89286156965247, 239.5335740383338, 239.57767198223982, 239.97862486066944, 242.00726276634589, 242.19387684483797, 243.58346689141203, 243.66197993844082, 245.16554537679289, 245.961076338418, 246.0909746186403, 248.48618259580877, 248.65484550911492, 249.06051538211952, 249.90615039223954, 253.86386188771041, 254.06267236772601, 254.27607983555703, 255.93696622663947, 257.28368287111505, 257.70403656755951, 258.16263027662757, 258.62188831921492, 258.98687567205184, 259.06982201529024, 259.60324691617126, 260.81792170100186, 261.19445202777871, 262.38407341015284, 263.91306700226596, 265.15646894113542, 265.87462622530069, 267.57676155579651, 267.93887218454535, 268.12085466313175, 269.76938142819847, 272.47528569704718, 276.31596665926065, 276.79661324330294, 279.15854925250602, 279.88894101140772, 283.34720943145771, 284.22446124794163, 285.55634719282517, 286.72967776549189, 287.76511283177621, 288.47778638542263, 290.03259538969627, 290.39183265146869, 290.46522828121192, 291.84704647574472, 292.00181091880359, 292.65369141981085, 297.42371276785605, 297.6449756576007, 299.19177362963688, 301.3238407251356, 302.20195086532249, 303.83767487081639, 304.07521146734132, 304.13065715027665, 305.37585813997919, 305.65430625526858, 305.99485454557907, 308.96885165332031, 310.27277470972308, 311.34900663091923, 313.35672906492442, 313.65778221992679, 313.82320125386411, 316.10781100400334, 318.73594815819962, 318.79042504580559, 318.99255799868854, 319.05522407427605, 319.25947932000884, 319.33201073589794, 319.47075328687981, 321.67893207675286, 323.39127248157087, 324.36849790651178, 324.4637121200256, 324.88433929210152, 325.01190016650224, 327.66624814772945, 328.01506777146676, 329.61749160636532, 330.39695826401987, 332.21295801583977, 332.50688117417866, 332.72152791520381, 335.28061914683349, 335.59146628857837, 336.31395815988674, 337.96125082861806, 338.02399723481221, 340.62575168432562, 341.96081139680081, 343.8098336875322, 344.19289284319905, 345.04527812431962, 346.09064380647072, 347.95297076242645, 348.02418311855496, 349.34189768793948, 349.90298180131725, 350.6171889017283, 353.35509026572004, 354.44763563723126, 354.97730567738449, 355.45892769570395, 355.50038255862847, 355.61558274447719, 355.93102192934208, 356.00496767513403, 356.31948032121909, 358.09160054230205, 359.65562465835126, 360.88923012973765, 361.26266327466914, 361.60112633977553, 362.67839004596874, 362.90549360564791, 366.03154365501746, 366.17160720976568, 366.67183959032587, 367.19580187013986, 367.72834770369701, 368.55880726899693, 371.17066384653276, 371.63776843232927, 371.70162366461852, 373.27829074765361, 373.61460116469488, 373.64953634707945, 375.00685027974862, 375.50994332043149, 378.85996320052652, 379.99417128258204, 382.64142783084588, 382.94729277204522, 383.91767853085832, 385.98509672706479, 386.23487599893195, 386.29515767712519, 387.13335420071394, 388.6753568162033, 390.65003020240016, 390.93729817143941, 391.54820654747323, 392.04455187187995, 393.41372257585181, 394.84047714319291, 395.48248729556576, 396.27033535514249, 396.95454197521104, 397.18295333260346, 397.83563810045308, 399.09500781264046, 399.71369556289437, 400.66367924817098, 403.06351965487084, 405.92617314043065, 406.0542228006899, 406.60483373245552, 406.8413900153443, 406.965740960532, 407.18011133924819, 407.27999226792974, 407.67615748639656, 408.58622757396307, 408.66855364220771, 410.23588683004436, 411.26395450099949, 411.62702676477551, 412.05172014213605, 413.26358274522522, 413.46747732796075, 414.91122793896176, 415.10148659680004, 418.05674271152168, 421.04866610007122, 421.39158723571808, 421.79443836406091, 422.43737227330388, 424.00245535048526, 424.29602645535726, 425.5349633852083, 426.20486215607224, 426.54702173025839, 426.99855110499567, 428.39484857212159, 428.76149235359156, 432.67417342981923, 432.91319232326572, 434.31553164996689, 436.26934713195971, 436.44990003648411, 437.12279406871096, 437.31607517129117, 439.61882496689299, 440.04172229164459, 440.65242242820864, 441.08321807752537, 441.23050146669334, 442.88797698253251, 444.19703800966346, 444.24031742919544, 444.42078361457254, 445.37670629513775, 445.54919058088836, 445.66071553322035, 447.34896019765182, 447.73223073568863, 448.88496323771199, 449.48052248628937, 450.50844901013551, 454.19432782811839, 455.08990410186357, 455.48923161764458, 456.08671295165931, 456.19577293891223, 456.8942419233407, 457.24977637011898, 458.55087251233294, 458.95957450851927, 462.12681247097828, 463.14345380373163, 464.44241010570948, 465.65668822447412, 466.25467206289449, 466.32475879705009, 466.39332136684237, 466.92747158339125, 467.24152415021996, 467.4427664685208, 467.92065573047239, 468.55255280344841, 469.16126925656573, 471.8879661279654, 471.99552971566663, 473.16265454843403, 473.53669445549082, 477.25653304899299, 478.28862697196195, 478.92739038259924, 479.30057678073695, 479.38601892485673, 481.71339449199422, 482.53385225540563, 482.69703961976847, 483.3050834126584, 484.02916138162777, 484.64525582474454, 484.70422290168335, 485.27284199371655, 486.41550854112864, 487.49923962487838, 487.58562591466949, 488.99133590830201, 490.12490618438062, 493.13661985060469, 494.26555828465524, 494.4228932760816, 496.6149825427733, 497.44192190399076, 497.81628422553717, 498.63413778146264, 499.24726561252862, 499.43931513400969, 500.13626580094939, 500.39271716215194, 501.73651668542863, 502.74172494937324, 502.96833376951105, 503.35583513584265, 503.70084792329675, 504.26015124724, 508.92207341212753, 510.44185191839966, 510.68766978568959, 511.93576696171334, 512.2514710189223, 512.45434698071301, 512.60283113618857, 513.63294719474868, 517.33088261332716, 518.15708997103673, 518.3420666653434, 518.43919925387513, 520.16888672039113, 523.16451788111522, 523.61503958812182, 524.05097076876075, 524.66955064177057, 526.61329958222086, 526.93343611995545, 527.53025441690636, 528.0207729761662, 528.39211966904202, 528.52842162068566, 529.14002238904425, 529.25720684979035, 529.54740297453486, 529.84817427756445, 530.32333937596673, 531.25882922175788, 532.56980532847319, 534.75210712642956, 536.04459856905601, 536.07563319390624, 537.94468529916651, 539.12607223141117, 540.68029893593416, 541.61342503145249, 542.9572311522046, 543.14411611601315, 543.44571716662938, 543.58063761990377, 544.32550162674511, 545.15418166818665, 545.54321819588768, 546.20860115872995, 546.53236193229623, 547.65891704440537, 549.12095609576056, 551.59795727084327, 551.7099847472482, 552.07531933006806, 553.42407836080315, 553.66661014279168, 553.7155473180369, 553.73642631865209, 553.89758668680395, 553.91875039519641, 554.53801531210991, 555.04964942643676, 555.82716689273229, 556.90410128135829, 557.13501517542363, 559.90752086804446, 560.40674160387255, 560.72737962088138, 562.15693548042111, 562.3927677653254, 563.4585641810196, 564.3289531303501, 564.73271323411893, 566.3138946365948, 566.73575731135111, 567.10856913657688, 567.78408819167464, 570.22342374621951, 570.29869370465553, 570.88874197348878, 572.89731541020808, 573.46959658975982, 575.14340616762024, 575.49582367259279, 575.99133175349709, 576.35806619092648, 578.56197265856781, 580.08668021774611, 581.5705898751927, 582.96513001991104, 583.67014671812296, 584.34351507050644, 585.13978974773374, 585.71753319191521, 586.83904101132225, 587.78558136017705, 589.09892004033895, 590.78640262535612, 591.90862226156992, 592.09766745521574, 593.16309256224508, 593.69416982958603, 593.88583611589559, 594.61718155208575, 595.84423892832717, 596.29317086344395, 596.85608592261087, 600.31187382365636, 601.23302255126316, 602.22453258828534, 603.35608237801864, 606.81953609371214, 614.0211369126398, 614.59630803979246, 616.77402704161386, 617.18215265200922, 617.68196988956879, 618.66236467689828, 619.42470427026433, 619.78194288486077, 620.10560373760882, 620.53521960005116, 620.66839664348947, 621.61114167776327, 622.11245202094437, 625.94573991861182, 626.50817904652172, 627.6299443485957, 628.63402261771466, 629.1498824490219, 630.15409025755378, 631.95864950147154, 632.89691920211726, 634.34244258921092, 634.39193281313555, 634.93235951892007, 636.11663498790722, 636.42670519771946, 636.78254440693775, 636.85446358699892, 636.95853064577136, 636.98312935339015, 640.7515932501841, 644.0986732285412, 644.19946388798155, 645.33310604025019, 646.18526380824676, 648.58476322127422, 648.62749350922081, 648.91178449429822, 649.09121438235434, 649.1793926153415, 650.66169408553753, 652.26242675884725, 652.52696754742328, 653.29408315121691, 655.43598454628341, 656.64161693043911, 656.71639856985598, 658.08645416667775, 658.62446601839633, 658.78097224945259, 659.13899748399069, 660.63780166754714, 663.73263600366158, 665.95726312462625, 666.00339839388971, 667.87960827712686, 668.21955055212732, 668.6666317503749, 669.31151460381477, 671.18625521679542, 671.57671161225812, 671.67139881961896, 671.78944903417835, 672.23394957935034, 672.95630273181212, 673.14701179437111, 673.36602537861063, 674.00996356165945, 676.26922595656174, 676.73277593144417, 678.44895146890951, 679.91330887966717, 680.35776876303544, 680.51914562979323, 681.26924340193523, 682.38329139416567, 682.58425926997563, 684.44317190249717, 685.69023614687546, 685.85431974972755, 686.56086044708877, 687.20396897379703, 691.01935884511397, 700.36557954256762, 705.48713619559476, 705.97980211690924, 706.21517942069954, 706.32809496364496, 707.21255316796862, 707.85481186671348, 711.853955960755, 713.25980045958522, 715.10122454903558, 715.2523970621894, 716.59448211765005, 716.72019629765589, 716.87370193026561, 718.20917050388232, 718.54664529457477, 718.62531961761488, 720.61666636361554, 720.78955314486007, 722.07349151033793, 722.12533605786973, 723.90818494916402, 724.4335482960787, 725.91424386590211, 726.70123309084136, 728.55242268279164, 728.66993370873809, 730.01462139926832, 731.25627644909298, 732.43138487384999, 732.7710190481331, 733.05758135361782, 733.15767743103311, 733.69382039282516, 734.07894226302881, 735.75627916222311, 735.90725068009669, 736.63850436982136, 738.79448323743236, 739.66215211304041, 740.39188765199071, 741.1761219691075, 741.21671157312687, 741.33680552312967, 743.24001916324153, 743.70646221317111, 743.95644637260955, 745.56002577615186, 745.62164229852215, 748.09260559796508, 748.15830303336907, 749.0582076314804, 749.30155498899205, 750.152687229496, 750.92987258279788, 750.96549627886679, 753.83949276621888, 754.03692769136239, 754.5101340838155, 755.67699485630055, 756.80156994359913, 758.43217369645379, 758.62164896586478, 759.2288774406336, 760.0029956118367, 760.24672459801604, 762.07956213760167, 762.3746421153761, 764.00636688339637, 764.12892883425548, 767.08346230123527, 767.22493164360901, 767.57492091552842, 767.89580442903832, 768.77249885026015, 770.04352873377729, 770.38666244560557, 771.4362088865679, 771.63296706660958, 773.7035522633787, 774.76967934300876, 775.90994664562345, 776.31583019009929, 776.38927000712101, 776.82088401409237, 777.66018072794895, 778.56749772186038, 780.21487536011011, 781.2892875332567, 782.01012106042378, 782.07421014589806, 783.6637810976963, 783.86491527959879, 784.47431997838009, 784.95768588051601, 786.15632864515806, 788.49827895152112, 789.82871846091257, 790.68037619121003, 792.68841027272617, 794.16471697835459, 796.37998817042876, 798.59436708181954, 801.70608571822288, 801.82271245581967, 803.01617293742231, 806.28590525488391, 806.99151897415652, 809.42160766873201, 810.4679430788949, 810.58181188420872, 810.62226566065351, 810.97406297833186, 812.79011551915335, 813.64870782037929, 814.74920397460096, 815.0083718307211, 817.04389067788748, 817.09146755219922, 817.66622168992217, 821.11613058167586, 822.36727566028571, 822.69861901287936, 823.14707094206028, 823.99452276632519, 825.33368401147879, 826.02107799995247, 828.26573528793267, 829.10049440789214, 829.47298004424431, 829.8335754247471, 830.2051160172781, 830.28426010189548, 831.07305228347968, 832.73768848609814, 833.88878794894526, 834.62197310999989, 834.64487676581041, 834.68146267933582, 834.78997464750501, 836.50551878223416, 837.78630680149024, 838.0960461635093, 838.64618962871327, 840.13964727420614, 840.7114125728076, 841.85275588476486, 841.99137836509931, 842.10285727341272, 845.01395917599336, 845.45868127143467, 845.74874948944353, 848.49391858113859, 849.05822732369916, 851.53852070686264, 854.59219793372984, 856.716268305722, 860.03054215964153, 861.03449503009313, 861.39404166974964, 861.48678110364278, 862.37917929053583, 862.51646024519198, 863.01437808587309, 864.17146378659254, 864.46170244162681, 865.84597783414029, 866.95409323447905, 867.07401237458657, 867.4075117273087, 868.01841498912631, 869.14896209579831, 869.34048174266707, 869.81061468676432, 871.04614318828578, 871.09828356271021, 872.09879878087759, 872.78525038326279, 872.91054665429772, 873.72503620556517, 874.40838417835926, 874.61990901578929, 875.45734651315763, 875.51132674548876, 875.63721537104095, 876.01707921837067, 877.67567104901491, 877.74493549231136, 878.41314024699489, 879.3539945627017, 882.64526928060241, 882.90055530254972, 883.75783926157749, 884.07885158285114, 884.52795566177429, 884.67731627644105, 884.95711418666792, 885.82410568338412, 886.75676561377577, 887.48549566771305, 887.93972359897896, 889.01598920625224, 889.63437183959684, 892.57364181355297, 896.63498027585797, 898.32998652926608, 900.38064174511385, 900.47724507691862, 901.16388509859962, 901.24763416738585, 901.43202788609096, 902.57186667880637, 902.96901424491796, 905.01189199224393, 907.02989718327876, 907.33912025882921, 908.20838961652885, 909.20197993750071, 913.61598551701354, 913.95571661880251, 914.37796091814209, 915.41967653027211, 915.56260967156686, 915.6689672464048, 916.85936153418379, 917.47720778069163, 918.04585639056097, 920.19632148269943, 921.61277563765009, 921.79626608181422, 924.47006212125996, 926.99711863955918, 928.53591119726116, 931.08406584986017, 931.55136937967666, 932.02284845408781, 939.75553350276607, 943.58877317163683, 944.72152421086548, 944.85968495196425, 946.32294379729285, 946.57668922146263, 947.77661435352718, 949.88035572764898, 951.61503435049281, 951.78193240907831, 954.11269534513269, 954.67993364798735, 955.99421181617367, 956.10101752188336, 956.77346239551116, 956.81961623708617, 959.24166594383405, 960.05585902579298, 961.45346034105182, 962.22848639249435, 963.16477766043658, 963.57057664704541, 964.30557694666902, 967.50485810469934, 969.39970908382895, 970.50013617994648, 971.42410743835796, 972.27143966895471, 972.30623100515368, 974.26826515280004, 974.30948216808372, 974.62687143161804, 975.11577230817522, 975.77791148765994, 977.88881409854162, 979.12174513800119, 980.04564046280666, 982.21651100655652, 986.12793789082809, 987.41214011243528, 988.33158613336047, 989.03695121818203, 989.34777472619146, 989.69357512963654, 990.68158208980799, 992.11298306603339, 993.13071402576225, 994.15515290454584, 996.1562284369852, 997.73491990458217, 997.80573229264473, 997.98778347088307, 998.36430524224056, 998.51391478026642, 999.94828466741365, 1000.347326592737]),array([66.832534172007897, 66.904232609690339, 67.114419952185699, 67.395725274431229, 68.823051049071054, 69.291693072512928, 73.020728575365865, 75.713099576474093, 76.564560531054141, 78.559922149293229, 79.075167225919856, 79.72749100572473, 80.332582613932416, 80.986207821421544, 81.171579430573942, 82.443373141675934, 83.924991546428501, 85.880750094932466, 86.495445793786686, 87.149011036131952, 87.177694550550939, 89.08807524648283, 91.19719327679104, 91.986677132414442, 92.341960596294683, 93.097414272446542, 97.470233015321583, 98.34021492431657, 98.414980390990692, 100.9614623015361, 101.0133957789607, 101.3427592283536, 101.4606125734315, 101.49274453687639, 103.27523635797326, 103.54873460775593, 105.27199459734051, 105.9076496036177, 106.38472070756129, 106.47770409298562, 106.57943336850025, 108.74079659754929, 112.15619685826381, 112.92820440472651, 113.94351131963664, 114.00340142170545, 114.64745373669707, 114.95822026737056, 115.26907853455997, 115.87419889623226, 117.59811158553813, 117.7792687411655, 118.33661723024439, 120.50654751943711, 120.61574978108982, 124.61500369833408, 124.8921915727996, 125.23535763019015, 125.30262268327357, 125.74446612441128, 127.04785341212066, 127.44729490248089, 127.48409865464453, 129.2845041416636, 130.07871387595753, 132.58004387668748, 132.6571798171837, 132.71936627777342, 132.85455217454444, 133.71567131829724, 134.05830367309224, 134.11725203615214, 134.91791274838303, 136.89547656152033, 139.7066511110994, 140.12763952647063, 142.81080721892516, 144.57236268200873, 144.76149091249331, 147.26138611000329, 148.2627792093252, 149.65492866073936, 149.8521459219032, 150.11388890615936, 151.80965382420021, 153.7130265052061, 156.45985183000408, 158.72985768819015, 158.91156870225922, 160.386821342758, 160.59957629074566, 161.42921575941193, 163.52264656412777, 163.65444209777988, 163.85223719742498, 164.94288541309572, 165.5476560698674, 165.90130883554448, 166.13133322454277, 166.46228100156657, 167.45791890348625, 168.68953756003776, 173.15924326684751, 173.69553184717739, 174.46537132622879, 174.87961529604141, 177.19687917978104, 178.98887253816633, 179.0787698223705, 179.21841015891047, 179.70891121862263, 180.20698717974432, 181.24459069177152, 181.58751052936944, 182.2802296535458, 182.31054181884062, 182.82347180071301, 185.70424340487281, 186.57529948718474, 189.1869447498367, 189.42649252261938, 191.27247374682207, 192.01411229606106, 192.23704317040969, 193.46851199656913, 194.0229461141426, 196.24835820094316, 197.12408903279569, 198.95745116507476, 199.10313153509659, 199.99246475511239, 201.20410770502926, 201.43945784448491, 201.47511885228158, 201.9318799535327, 203.09379571407288, 205.26452592143698, 206.20740859147008, 206.41599777273282, 208.02902240654871, 210.13595616531731, 211.29235122683355, 211.43403534410336, 212.70751834565527, 213.61914589229755, 215.09396722254175, 215.49733419397475, 217.09551990845583, 217.56372437829305, 217.74680692354917, 221.26835217823978, 221.51415719790364, 221.62751830319107, 223.5222413935754, 225.12652390423236, 225.26419064012831, 225.66931897376733, 226.20094883099236, 226.44467458549414, 226.95974974516002, 227.25762580552316, 227.80559563052, 228.35334364533833, 229.77526936027189, 229.89793933587572, 230.95683127031009, 231.38781368801736, 231.59533439737231, 232.50391905220934, 232.62396309521299, 233.42111747485575, 233.52888496620045, 234.49204016217837, 236.05774438916433, 237.09374840052737, 237.1155625940381, 237.27385289774435, 237.60313363674143, 238.27306566476366, 238.49152539780599, 239.09407007806902, 239.14750129334121, 239.35986141045936, 239.84477892164767, 241.76771807000216, 242.34816120050633, 245.1312071700855, 245.46620377285154, 246.91928751992012, 248.03291425336377, 249.04275894455745, 249.25200662193674, 252.31328066280841, 253.45641250315344, 253.49907723364757, 253.90940214184181, 254.0614643350095, 254.64571947241404, 254.74698356745429, 255.78678074969028, 256.82470341016995, 257.5487585568693, 257.8510975112286, 258.14893471642239, 258.45099170918957, 259.34350882015275, 260.50184357173612, 260.58006189255633, 260.82324898123176, 261.8346064939555, 262.04078198008523, 262.82780213249163, 263.53532886852179, 266.24499184660704, 268.16806222280621, 271.99578706616893, 272.59469780935621, 273.34271436639852, 273.95793944718048, 274.88687191416142, 276.71568978143353, 277.76666413838649, 278.08078141318873, 278.93152216202861, 279.6852506551964, 279.87161349505431, 281.32804202268306, 283.22634577912743, 283.25507709357004, 283.2789042367732, 283.9282867838532, 284.60090065642009, 285.20671769514632, 285.63571334004962, 288.74819912958895, 288.955051827793, 290.28414374660827, 290.9322901679169, 292.37861148268468, 292.7281622455381, 293.19257996449562, 295.24385738760793, 297.24910258151533, 298.97074324311217, 300.51406325950524, 301.98304733287733, 302.08770984756978, 302.54770465568771, 303.36155100651979, 303.41886644325098, 304.48689331795259, 304.80133360177564, 304.85823865527504, 305.62784149862239, 306.70843195107739, 306.84244143470579, 309.76638260432941, 310.15242439312783, 310.26206318728202, 313.02571343357067, 314.49537532248843, 315.23050794488188, 315.53587394239725, 317.11280301407527, 317.80217039878767, 318.72146023879662, 322.35615280624751, 325.45138229686802, 327.4852534787131, 329.03693530550044, 334.27418930290264, 334.76532434362758, 335.85221664936194, 336.20212968457309, 336.32912624023572, 336.73518988454367, 339.1117450301, 339.57423456223421, 340.14081658245573, 344.20237111745809, 344.375530497444, 345.00460136623792, 345.87971148172181, 348.29310239676454, 354.36439862969053, 355.08534031648452, 355.32089608014581, 356.11544265111803, 357.9898388629548, 359.99843574631257, 360.47379374139837, 362.02142652338148, 362.19002473823167, 362.51437845891365, 363.22888845809479, 363.26893224757595, 365.56216007475086, 366.09280837300423, 367.67665836989903, 369.9332618474005, 371.82408784095179, 372.01419713357666, 372.96656086351896, 373.29824653146051, 373.54892460701677, 373.82377395719584, 373.91929270891251, 375.10914731414954, 375.86817999841946, 376.5237297822278, 377.04017658697171, 378.22617272756469, 380.69753791726538, 381.95635396865401, 383.42663176299692, 384.36639775189133, 384.45953303391019, 384.66961634144781, 384.68976823004454, 384.92099081693897, 385.15634355159517, 385.75753391336161, 386.80151441745301, 387.34876215850727, 389.02119149389802, 390.11297270108128, 391.93077248116555, 392.13656875530722, 392.29481274670837, 393.4107179180935, 394.22628263819297, 394.44862535476773, 395.06713141242795, 395.14543915780206, 395.23188899929164, 395.89491524145336, 396.20696264048451, 398.78282247334835, 399.00868718216316, 400.25749307863595, 401.56986792747637, 402.64897836929862, 403.26143254633729, 403.5682312453655, 405.7581593204817, 406.32415555135702, 407.95440979259001, 408.01571205152072, 408.86160211042096, 408.91841145715858, 409.7900427869933, 410.20831533057225, 410.86501738540011, 412.07014133543544, 412.43082663443658, 414.77947388520522, 416.77426353334988, 416.81496253978571, 417.91066210283213, 420.73695411649004, 421.37506091097674, 421.47756248684954, 421.88855037088285, 422.33927760386194, 423.52803457035969, 424.74559876087488, 425.28082529938587, 425.34660838439277, 426.15439599994414, 426.64771352909929, 427.04584414715436, 428.46871460503127, 428.53564553148885, 429.99924329544626, 433.02741678649562, 433.08736042866849, 434.84445049625953, 435.86776766255747, 435.89135571774347, 436.54745748498402, 437.2542741405382, 439.639093189275, 440.24358400797161, 446.09700215559258, 446.13502095435865, 446.86126431092015, 447.16970078704992, 449.91493692662181, 451.30589007989306, 452.16731996142533, 452.88888806077352, 454.21737218371692, 454.69502488051705, 455.22073944977683, 456.73625706846661, 460.51514195727509, 462.70420051302892, 462.83735275158972, 463.52498631393587, 464.35444355501267, 465.65851452420696, 465.72311774380279, 466.22810084293496, 468.02601957071732, 468.25089465957478, 468.95680602306106, 469.34913094638881, 470.51989903696733, 472.63938167085007, 473.22056635178512, 473.43024800015365, 473.79261204772951, 475.09537656465011, 475.12165400364734, 475.52334577103647, 477.58393300945772, 478.03531681850205, 478.18776388709193, 478.53844243233056, 479.50397343537344, 479.59312422677385, 480.33845487058517, 480.69962628994881, 480.78504867451767, 480.83159702662613, 483.34999258456133, 484.17135346330753, 487.53066332975408, 488.87725557971595, 491.3230722231018, 491.345687106024, 491.9181910706306, 493.67565882519597, 494.80244228042511, 495.68456390217557, 496.45025758353091, 496.99534986754463, 499.5792792947683, 500.65527942588966, 503.06027361516391, 503.27462247578524, 503.44046418572043, 504.96584646977891, 506.07167591822207, 506.53897539301397, 506.62130355480355, 507.51908804355071, 507.55368593982058, 510.25678376130878, 510.90539784796982, 512.74639654783323, 514.70325088651077, 514.91988350471854, 517.0403249483968, 517.2742242428385, 518.18162652623937, 520.98892131553634, 523.32428698340334, 523.63823698035878, 525.31548930578447, 526.30328626657376, 527.1962537677889, 528.42918014947395, 529.37471145836321, 530.77675192134245, 530.82442087014067, 530.92964846331756, 531.53608606892021, 532.10283834901691, 532.20320110184286, 532.41144877174872, 532.46221756291311, 533.25075685456295, 534.20206029522467, 534.59366582774771, 535.38217832570956, 535.79338079590889, 536.7555314375229, 538.50531476033723, 539.98838510475218, 540.19330319205437, 540.29875477864709, 542.40725926784546, 542.5160953993103, 542.88059644965676, 544.13097710365025, 547.29085117272155, 547.64193963133687, 549.37243010080465, 550.72915301223816, 550.90426958464684, 551.76753338278911, 553.21698735330438, 553.35748732780689, 554.77995472270504, 555.04240103695156, 555.18175446113912, 555.63765228819329, 558.26936146935361, 558.66010703027428, 559.01759403293795, 559.10192016534222, 561.21379577204459, 562.13061880865826, 562.22388352944768, 562.5728095589335, 563.47485837123861, 564.99296675395885, 565.20207375844143, 565.36460596971699, 566.70150949017068, 567.67917501153363, 567.89753475232703, 568.79317898125441, 569.95705231227544, 570.70356702151935, 570.87236893295096, 571.08953971993969, 571.21759744064548, 571.25578689704002, 571.52994650089056, 571.65067474438786, 572.25583249393219, 573.39920731531447, 575.71151505649129, 576.9140729101108, 577.87509985316865, 577.91651670190606, 579.59511616699979, 581.30948056596333, 582.08923943783918, 582.13841879327015, 582.45514616968012, 583.59853599859741, 584.748687530849, 585.21676520006577, 585.27948075792222, 586.11393089046055, 587.15625154543272, 587.31522844984499, 587.99755838643432, 589.90091833401073, 590.56205664448498, 591.80994480265053, 592.1964053608616, 593.11835688433189, 596.94947615362344, 598.99992743376401, 600.34254128685188, 600.69937282286492, 601.93548245975194, 603.03630465553636, 603.10907569377036, 603.38389194715785, 605.30706146056889, 605.3524773312912, 607.21124856741767, 608.05582557114417, 608.278248329044, 608.36606297712876, 608.80871388060848, 611.82299085300338, 613.45413696812329, 614.79374703359679, 615.12598389777884, 616.9116162849416, 617.58877801775941, 618.85757531914385, 618.99885932364839, 621.02366677332657, 621.25197136360146, 621.3956273687146, 622.4584821855334, 622.62317607048328, 622.87516455959462, 623.04837945092106, 623.73363533203633, 625.026023569377, 625.68960626775083, 627.14922786569605, 627.18283133977252, 627.26352162944283, 628.40588418684092, 628.46484458170357, 629.44993540950418, 629.56553394897264, 630.88250955896979, 631.76574467087516, 631.95005577450729, 632.76529270907884, 634.72378458554067, 637.5982545439623, 639.12978229702424, 639.45949236872082, 641.59008181988634, 641.69149136622286, 642.34674529617519, 642.65822981077963, 643.53131729807706, 643.78396136916308, 644.81562321205286, 645.2473287541718, 646.70815269669401, 648.04870645361632, 648.85659663322178, 652.83314607953378, 653.04246443152817, 655.30097272714272, 656.85004848855181, 657.65832462511037, 658.18101540533678, 658.35793804253058, 661.6795707115499, 662.51782268125112, 663.43391796065123, 663.61340305612362, 664.49332296325997, 667.34394448956209, 670.27115539281533, 671.56829598070135, 671.93313619913351, 672.05627054003037, 672.93950052259845, 672.96182982803884, 674.30556640620398, 675.83947431413355, 678.08757144508957, 678.61780761648333, 678.74237145738357, 679.60618744691646, 681.27389566809632, 682.81117503160363, 682.85221478383482, 683.26239762129592, 684.16897204492773, 684.75215397010004, 685.05698713117829, 685.09805329069638, 686.8994557380322, 687.26507351940541, 687.54369794173624, 688.03265995793424, 688.49485154611818, 690.23695534734713, 690.3408287156326, 692.72256587251923, 692.79613034581871, 695.06004556581149, 695.18983391857751, 695.78230437678451, 696.16057393549067, 696.70925307565358, 697.79290551788813, 698.17275913533751, 700.48681389206411, 700.52081333125659, 701.33479966192249, 701.78600999699597, 702.07461265876918, 702.43257931828953, 703.71095323713473, 703.74508127904437, 704.02045442427902, 704.4178868872624, 706.12072161707147, 708.16272143716753, 709.15046761328938, 709.25202368297232, 710.64543053461568, 713.24788652806637, 713.47308761320164, 713.79507270385193, 714.27484989899585, 714.33422725376431, 715.63970802481299, 717.41452131936626, 717.45663958759087, 719.01918844151896, 719.62010741760616, 720.88509782675067, 721.57985914588335, 722.05455531363395, 722.88310614923228, 724.06548861801411, 724.69349495183405, 725.78518471215511, 727.0104562031122, 727.41104181572018, 731.09912660944349, 732.23689005098709, 732.72157286273296, 734.28497830513254, 734.73039764774671, 736.36448993500187, 737.95587726101633, 738.68467581025402, 739.46197972791924, 740.35577511023473, 744.41153772650989, 744.57647451985179, 744.71449291236024, 744.81845189568298, 745.58777898561266, 745.70578895601614, 746.60558745190451, 747.01109442754318, 749.66118471029517, 754.24575483006925, 755.12336740296439, 757.22983445200055, 759.10479428815563, 760.54453277375353, 762.7959250039072, 764.29946107039166, 764.47432201915512, 764.61095321656842, 765.45976357753682, 765.50321730235362, 766.08864427619903, 766.82573019399399, 768.03561379587597, 769.13381789254731, 771.48043007279148, 771.56603056903032, 772.09547033987792, 774.25126089816285, 776.66066835583365, 780.34261243193328, 787.28766542007384, 790.38066977883238, 790.96669195341747, 791.72782425100706, 791.96403808950879, 792.13570917527545, 792.86794005512968, 793.76023851311106, 794.64334220601518, 796.98745610294156, 797.80455235970646, 802.24868422647944, 803.18341680300796, 806.69124002943568, 806.93059115432209, 807.36025764279395, 808.18593216469162, 808.45090157351444, 809.90563244447071, 810.3875210173062, 810.53294845915411, 812.19356882822206, 813.83140723600843, 813.97098140578305, 814.09967642514653, 814.52758662729923, 814.96736634597573, 816.06134581163849, 816.1022854400602, 817.73912692285342, 818.06315746889697, 822.19611630797442, 823.33757837320775, 823.91488683103591, 824.28957962687798, 824.56515129016475, 827.84696408962839, 828.04471315981789, 828.81528096679267, 830.68949121992944, 831.63478945625832, 832.06986704600081, 833.92381906939124, 834.45370620766812, 838.32676364785755, 839.24560212281335, 839.91673575312927, 840.181270597864, 840.26402323634341, 843.33859749346891, 843.90573056423807, 845.25422213392335, 846.65872920503534, 848.00689313764826, 849.25189553430914, 851.46316826441659, 855.0724591058879, 855.17572004680051, 855.99702801820251, 856.20171956358627, 856.72713598529265, 857.62632546587577, 859.43382462950467, 859.71875667174686, 860.04266458306017, 862.42074186643413, 864.42050130183884, 864.55775030902225, 865.88197618232357, 867.4481517468389, 868.26246455127227, 868.40410129691838, 869.52356956019253, 869.62673913099559, 870.16658967173782, 870.24142102322025, 870.29343991870007, 870.34921164296657, 873.91149806377825, 874.940411120367, 874.99111112933406, 875.27789606274985, 876.9976693199219, 877.8150930357782, 879.19588146479805, 879.55811228314394, 881.97475810173762, 884.41743796239314, 884.729124138413, 886.31869378475983, 886.86890436818146, 886.94912465462767, 888.36100444066938, 888.44201233508159, 888.66441928964969, 889.11920954137361, 890.08319158078905, 891.1371617801783, 891.36770757810257, 891.40418716322245, 892.89442785547624, 893.35206505970518, 893.61381250823956, 894.97541840882786, 895.0777366051102, 895.33875004160927, 896.38543426052172, 896.75838170648592, 899.03534683543955, 900.96208149192182, 901.18659896433405, 901.92002186383297, 902.48728740440208, 902.85417227636526, 905.39152526310056, 906.65471802805882, 908.0518506238119, 911.25318541649813, 913.14561153595218, 914.98854881807006, 915.81206312475274, 918.00880814143682, 918.48885501340737, 918.72931418325686, 922.16873044806073, 924.5505741850767, 924.87136097732161, 928.0137576315409, 931.3135973334405, 931.46823814784386, 933.25736413989841, 933.68197172937232, 934.54721519294969, 935.22392975435537, 935.27156731388266, 935.96227312424037, 936.33318424831623, 937.7069990973979, 938.45735019932044, 939.37900231101526, 940.07413144964789, 942.83616785110019, 943.71169143879047, 944.72995960827143, 945.66576895955086, 946.09570153258778, 947.46362153462599, 947.90801258556712, 948.38673492892883, 948.67693842715221, 949.12027614229999, 950.78778081460553, 951.18472149138222, 953.22893113357827, 953.43065277517167, 954.47470051754965, 954.81235238548561, 955.12519832383668, 959.76116564623328, 960.14885800920763, 961.30867266628286, 962.04040551430444, 962.82299772549652, 964.02164059617485, 964.15015962511291, 965.63449145535981, 967.39285530356483, 967.62606280798911, 967.84211407950488, 971.00212564097399, 971.20828635242265, 971.3071389878387, 971.7885303706812, 973.86359282661147, 974.37665427433228, 974.89460198760696, 975.79787543626253, 977.35884369138921, 977.44730128704578, 978.17890715026238, 979.04762521368264, 979.9153271559378, 981.78594677919148, 981.90851270379301, 983.89092148160057, 984.59840970094115, 984.85144825415409, 985.82529870284691, 986.56845655513757, 986.98693204995288, 988.68957396638962, 989.63572823978984, 990.00375401760471, 990.47969541976113, 990.6098806988598, 991.14945067018482, 991.90426953406222, 992.2167963211798, 992.50096148320506, 992.57184520439091, 993.93155417131015, 995.40026373571607, 997.56808481733469, 999.71174320993214, 1001.094518542589]),array([78.186712992682246, 80.125464758493862, 81.047095259833938, 81.231625608896294, 81.831896504725947, 82.924774007336282, 83.08769689458137, 83.969355650658841, 85.217655368160351, 86.671792221033613, 87.417452358060729, 88.339161214761191, 90.532295563035433, 91.555172629389332, 91.789135238240831, 91.962852771230033, 92.149816296301182, 92.485037419119664, 92.555097214391978, 93.298353764186274, 93.515270795753011, 93.860854530025421, 96.155294859575406, 97.772538642333643, 98.143335669134061, 99.699512511989425, 100.62570345100202, 102.06640197581142, 102.12261122523472, 103.03123478219746, 103.14397724442493, 104.82921651958281, 105.83423482869269, 106.20458972131334, 106.71325532778341, 107.49927793054437, 108.71427726938651, 108.88754751082942, 108.9989425389592, 110.20302961096854, 110.93737239413615, 111.66893718726222, 112.35471530933367, 115.61799881883849, 116.37215623727589, 119.57331459384305, 119.95237253181028, 120.28833166571596, 121.6911552216192, 124.07128044610538, 124.62703629768717, 125.2088794461316, 125.29043481549247, 125.55994938983434, 126.09364604319505, 128.28268575933936, 128.57288658828327, 129.06810050960499, 129.74126412451562, 130.47587236798853, 131.25464378908768, 133.1969706072515, 134.0898364987558, 135.33121924398824, 136.05110773375276, 137.10314755610909, 140.01633473677586, 140.6429802982671, 142.48362794283318, 142.68735019014275, 143.64795537717114, 145.85474294528078, 146.86360714269628, 151.0728897912382, 151.31029228798187, 151.36012494687853, 151.83424873706352, 152.78181001154076, 157.10443369454379, 157.2451496606852, 158.5600013415183, 160.42802151949735, 160.52616808073202, 162.43542013439807, 163.68956123775786, 164.81346352074465, 165.17075138281902, 166.03814852154287, 166.78557927532665, 167.43693853667196, 167.81277794398051, 169.46064322396299, 169.9649475066345, 170.03066590117675, 170.6419884327066, 171.55938498482544, 171.70390804190939, 173.83616655118939, 175.04166137469261, 177.0874978556474, 177.26416505720289, 177.33720764821831, 177.89849965356672, 178.08558275407199, 179.02068572489651, 179.83406607333518, 180.30777616190795, 181.49058688968478, 182.94651569768786, 185.68086241033987, 186.04893317342331, 186.0961089978604, 186.95761596106675, 187.20288560662391, 189.91312100722368, 190.92479261178752, 191.87075804918058, 192.75270346710332, 193.1028343743171, 195.11396492156561, 196.36946702269981, 197.8429255146892, 200.05746609119385, 203.52791254358684, 204.29358443386121, 204.4871144676581, 205.06713754769544, 205.55844969331426, 206.04693224966258, 207.28211550874047, 207.55120398389855, 208.93753016859588, 209.05320199233913, 210.28813361884062, 210.39283997477486, 212.69496156229968, 215.25176499965539, 215.52007614390686, 215.87156630565448, 216.63665838133639, 218.48118159740747, 220.61300278284739, 222.05244790701383, 223.98088641105289, 224.28324260934315, 225.87227562660271, 226.68245517671474, 229.64780786333037, 231.62060162224017, 231.75223198668218, 232.73126241138974, 233.17467057058769, 236.60443759127509, 237.37392364344987, 237.53090016796324, 237.72809881140029, 238.75173033331112, 239.53622338030937, 239.91220496233043, 240.36439381186159, 241.03334957391175, 241.68428899245558, 243.47710633819142, 244.28944638534813, 244.89151088254204, 245.74919130189531, 245.8383616837572, 247.75687431559507, 248.18182029667415, 250.90165664060049, 252.85743721759999, 253.45413774092052, 254.71637192800156, 256.99316720163699, 257.13150402992403, 257.31049685288701, 258.14568432576732, 258.57785178850514, 260.8247116393577, 260.94130966413223, 261.59095222286237, 263.17050213790259, 263.51631926676833, 264.98084780699941, 265.18317884119483, 265.60486665755144, 266.00358566006088, 266.13450356706403, 267.03620245355035, 269.29259148115324, 269.45608583617877, 270.33513523295449, 273.71697709012233, 276.84479084142379, 277.99118621231651, 278.07008037705424, 278.37536381655326, 281.50003097061966, 281.72302248031696, 282.96225351711661, 284.8562921202498, 285.11969059048664, 287.23293435995998, 287.94811163191633, 288.18867738847803, 290.36944867746126, 290.72745336578538, 294.09458823380498, 294.1231434962537, 296.5820199792235, 296.78039108777227, 297.52108573986482, 298.40678904854883, 298.86707645957858, 299.12682526137581, 300.32415695419814, 300.69653158360148, 302.09099497320847, 302.94961398452932, 302.97056845605067, 303.12138384723011, 303.62579392227622, 303.73602153104667, 304.69284842696095, 305.676260576831, 305.72897920805156, 306.55999586612319, 308.07358182571602, 309.53186232643679, 309.56462344642506, 309.74710160461041, 310.43818411927987, 310.96178062393403, 311.06749193733339, 312.05065557113602, 312.2325857323155, 312.97583794911299, 314.44808893676742, 315.41753674912115, 315.97609823610173, 316.66640139951386, 318.17299231068415, 318.40585580310187, 320.33693346445801, 320.64886133897761, 322.8339244394495, 322.89091278521971, 323.50121785555569, 325.37241424973865, 325.39890245326853, 327.17864245064129, 327.29875234005891, 328.29597311383787, 328.86180272207292, 330.78726645135873, 332.00275253517924, 332.54569932993104, 335.02710555676458, 337.78951975390561, 338.18756307587176, 339.71091440716697, 339.98968687401538, 341.78730535500227, 342.1599801889692, 342.51661765229488, 343.19586958851363, 343.46491526432015, 344.57714913782348, 346.84300907112072, 347.40359244696663, 347.61392452224248, 348.86035439539506, 349.14820406519988, 350.45890773051684, 351.55483803868486, 352.51241259467014, 353.13153713783333, 353.71672987444163, 354.66033437580103, 355.21842377364823, 355.75565793261603, 357.96738797615944, 359.5527923112769, 360.04335103319181, 360.16656351946853, 360.57803919268616, 360.77337309897467, 361.17673298728545, 361.77744041787446, 362.11808254446191, 362.55199123638897, 363.44578751007532, 364.10121729948355, 364.15612928000644, 365.32173885481512, 367.87904589838587, 368.33876607413799, 370.16494226249091, 370.272595131304, 370.78156104186439, 370.83489123606813, 370.87624266144627, 371.14601071010037, 371.41570935052874, 371.72530756028721, 372.10455939929648, 372.60040941336803, 373.07268184250893, 373.56613009101102, 373.67766663162968, 373.78328450806879, 374.58063842988395, 374.92585634590228, 375.96793870994105, 377.39946515485315, 378.17401338466487, 378.63233102933509, 378.71445988211173, 379.04678113744842, 381.03569269619447, 381.18707440644914, 381.31962999286196, 381.54845944339871, 381.9477924318137, 381.97147843997084, 385.16573154426214, 385.55047553135267, 386.98606096208397, 387.19973915682112, 390.00158770726807, 392.80573522641691, 393.4760921625155, 394.08926086733334, 394.16624639292155, 394.21081611531173, 395.25979377857766, 395.49987940358142, 396.03838265534506, 399.44658007413148, 399.8569166334201, 399.93708458452869, 400.90110184833873, 403.06043743565311, 404.10902459597958, 408.28074163163927, 408.56688096888331, 409.78341510535586, 410.0802608991761, 410.1354715848683, 410.22846298918017, 411.42018353417689, 411.45596779875501, 412.80616421923452, 414.22139151604091, 414.82010616884116, 416.05295995917623, 416.62628808856249, 417.64578004230674, 418.10204530281737, 418.13457910259831, 419.43432802453884, 419.63143364675528, 419.75113199541283, 420.04874917747804, 422.28822982292832, 425.09276569365221, 425.36420634649079, 427.29240274686777, 427.70273178786744, 428.97239694079224, 430.02605664294617, 431.85207116078305, 432.3395595381574, 433.19272428829049, 434.53478459902897, 435.88671451013767, 437.48580855969186, 437.54577862271537, 438.62720619703367, 439.38476459213757, 440.0178119659505, 440.22730153131403, 443.39962822758849, 444.06269633423824, 444.17609386101702, 445.22835365029175, 447.32595190628632, 447.75033599663391, 449.18588841164649, 449.68218853074814, 451.43625845642305, 451.79910778825217, 453.28040693539151, 453.94543024133594, 455.19417363806627, 456.26594731604172, 457.97897684436094, 458.19771536650467, 460.96936954784286, 461.10812670716496, 461.24893748547277, 461.82054730927518, 463.46023945133231, 464.08384649729652, 467.00683094824484, 468.0225497124336, 470.88906868949414, 472.24653896070413, 472.30558199857495, 472.89935062048556, 475.05985679616418, 477.01536576088461, 477.75250769580839, 477.93367630250816, 477.96753956586798, 478.00868022109756, 478.94028536863357, 479.31873064128985, 479.35588780421006, 479.41128593153536, 479.4883484650905, 479.85035547679695, 480.4270740005876, 480.53160933373636, 481.36383299300627, 483.72560723213491, 484.02901380413113, 484.43760246944282, 484.83119350075071, 487.17675212719996, 487.98735792653224, 493.17742913697595, 493.33408722439384, 493.38058155170523, 494.51876550138439, 495.0487375343908, 496.30940008232204, 496.65287984147875, 499.45976809536609, 500.71701493700056, 502.21402339915596, 502.38453513012433, 502.59000818445463, 507.13015871372482, 507.24013578138681, 509.02280223257077, 509.90983653338412, 512.23370466117615, 514.52062079851396, 514.97381535354782, 515.30141555158957, 517.05306714479752, 517.32443074750051, 517.58793733786229, 520.21321943795817, 521.64084670924206, 521.72506627995244, 522.55705742734585, 523.26092220574344, 524.99819398305181, 525.07582582100054, 529.12022354707096, 529.45503481280173, 531.5257180293903, 532.38372183584158, 533.15516554402006, 533.23002804051737, 534.25698972279304, 534.31730143330265, 534.88282632155233, 536.09652167297997, 537.64558454563041, 538.70548457747373, 539.44213469930037, 539.63257988056773, 540.06049536353271, 541.16357332982659, 543.14550528114921, 543.36560249536865, 543.8995957635351, 545.13695349255045, 545.94960458637172, 551.87212960623754, 552.49632315590304, 552.76660935468203, 553.73851894555776, 553.91818200511841, 555.1159375225559, 555.29988862017319, 557.04850794291724, 557.08534202620046, 557.64931921368782, 558.01788957080828, 559.35644258583591, 560.16988468686554, 560.33099588269999, 560.40335630430297, 561.59814401946028, 563.66354965542337, 565.24245152687763, 569.24633801034759, 570.51180499526708, 571.06910677416124, 571.47305889854294, 571.60060327954864, 572.9934449725439, 573.15236732313781, 573.85726170813916, 574.78883647912528, 580.11255397093555, 582.46449790657221, 583.31059837185228, 584.80511991924584, 585.41029468562374, 586.35216871607588, 586.57702632537848, 586.64333039956909, 587.17906157749144, 587.55383086587369, 589.05392499866741, 589.67708477633869, 589.81842927983382, 591.24738105717313, 592.39608335717639, 593.15984808388384, 594.15017166987252, 595.68645419544248, 595.8743966047499, 596.97629371948437, 597.29733748043429, 599.15082271355834, 600.00832808612176, 600.14690910754291, 602.80155654890984, 602.95253139036902, 603.50150645400549, 603.58088046070475, 603.72811358643503, 604.20897640747967, 606.00520940118793, 608.12589877756545, 608.60718481999822, 609.51027247766763, 609.7316414173431, 610.32001664203096, 610.61364755930856, 611.34954906879454, 614.95934637423568, 615.37516213912011, 616.18642471247563, 617.26550460590511, 617.92494374019009, 618.90601502612697, 620.97041193894563, 622.37263765615103, 622.81414920175189, 623.06951560375728, 624.24455432729849, 626.33883870773002, 627.06239912187527, 627.23619224689207, 627.53371962131109, 627.63594524815312, 628.74601050170554, 629.70650370423948, 630.16401088513828, 630.70010424664463, 631.14204673805159, 631.2113903567157, 631.722914739413, 632.24495187492801, 632.60134993300733, 633.22895959183995, 633.68523622727525, 636.41882031150283, 636.88604829715155, 637.58118168077397, 638.21531766856447, 638.69428663878807, 639.6498640206139, 640.23929446660941, 640.31700109084636, 640.39448621762074, 640.87425214350299, 644.16217665238298, 644.97135645416745, 646.51265990476577, 649.52720051932818, 649.61021049553415, 651.24723395416322, 652.37569517677071, 652.8209060901554, 653.52193251671247, 658.28942455450556, 659.4367848801827, 659.86912055762411, 659.90635008023264, 660.37526136160113, 661.21825738334417, 663.74389172103986, 663.83013573713481, 665.63775035725166, 666.02848098540846, 667.91570258769798, 669.75650165948196, 670.01483502776682, 670.17399415020611, 670.625771084809, 671.15336871094019, 671.65677880961994, 672.08845054751907, 672.86170275062102, 672.96558515567017, 673.97610282565142, 675.72656315554173, 676.07377885818198, 676.17167353341938, 677.3153882800957, 677.57055466619249, 677.98919381661653, 679.50145235938487, 681.62178962564087, 682.37764536571922, 682.73758288311365, 683.42196646865284, 686.55626095135688, 687.27885460919299, 688.5315108976838, 688.91465493193584, 689.89960748455655, 691.11291160542896, 693.09450477751989, 693.31765838736112, 694.97862720639091, 696.06206254230563, 698.26604928151085, 700.44783017564998, 700.97169767127343, 701.10875870531379, 701.40276459020822, 703.72588184168274, 704.68315266593868, 704.7850422384372, 707.19552057392718, 707.24965689177156, 710.04559229559629, 710.27117665938135, 711.43853591566358, 712.25080082557895, 712.36763534979298, 713.08101055970326, 713.85525963882515, 714.30937978231566, 716.49123102602107, 720.61352296904215, 722.26535319348227, 724.19663515244781, 724.73430431842621, 725.40502575749986, 725.64965094037075, 727.01781211972457, 729.13161215371758, 729.66478664867134, 729.74747989429818, 733.6340044571848, 735.08267579962319, 735.59781686497934, 737.82937558396816, 738.07403770603071, 738.31031114910422, 738.60433691872311, 739.80263507986706, 740.13645805358431, 740.27836515648005, 740.78176196755942, 741.1896590600337, 743.09554333641961, 746.10155326646066, 746.18391894547995, 746.49535954406406, 748.99637172833343, 749.31109879712301, 750.3668327647606, 752.39468663677906, 753.05030502443117, 754.65430875873494, 755.4418108744411, 755.96270089354914, 756.24103245901995, 758.13019817944507, 758.19580617775387, 759.1801933560364, 759.3866426869148, 759.74396632322521, 760.50450756685859, 761.87324296137422, 762.67006003600227, 763.82719377692047, 764.02057539218561, 764.17009888989105, 769.23175145291646, 771.26739042929012, 774.68443163918403, 776.63045404730474, 777.70164911621646, 778.20758216800743, 778.44130792074805, 778.80385373613774, 780.46611689812653, 780.90278783457404, 781.3782032751227, 783.22632742328619, 783.36097186231871, 783.9194541819528, 784.38150191860825, 784.49944177045802, 785.74867274531778, 788.65491685215272, 792.54047594346048, 793.35652427186369, 794.48706771504976, 794.69676404852157, 794.83498039557958, 795.16771387885262, 795.58175398129481, 795.77671564116224, 795.86892302708952, 797.64471028301818, 801.03148719214721, 801.42244057178038, 802.04035659791339, 802.70624558510576, 803.93407415561046, 804.9679696119249, 806.74082994812898, 807.11960843703673, 808.05310947598821, 809.26726250071579, 810.6270356182207, 811.18252691884902, 811.50234087261651, 811.66928956851984, 811.99378974215188, 813.22474059552235, 813.56192635457285, 813.79293322239187, 813.96882759160053, 814.0128901985496, 814.62272190746933, 815.78614125751369, 816.11703764249251, 817.55396399036249, 817.59133768865217, 818.10147336759167, 818.46958487449945, 819.02826693445502, 819.72062553098374, 820.10740198746169, 821.55813100523551, 822.70690246801735, 823.34620093073215, 826.74065799971072, 827.70959801016807, 830.20715163873319, 831.8395749338074, 835.03572079570756, 835.08776069609701, 838.34016797249296, 838.73786206234001, 839.95823365445779, 843.97078631948887, 845.0142374931911, 846.03957855575015, 846.24962842212778, 846.79653017809505, 847.61608146886681, 848.78491067236541, 850.90121014556996, 853.12693245167463, 853.43379496839702, 853.91384831078199, 855.81818294964614, 857.00941342035696, 858.56459843500897, 858.71455845477965, 859.36537177549769, 860.34071119689554, 861.52639692974458, 861.5770861362804, 861.96780359953698, 863.10478851953371, 864.92763610240331, 865.28632019756355, 865.73400815254945, 865.76954786980309, 868.90609298630216, 869.28148746320267, 869.41426497317582, 869.8062612940397, 870.01556366436319, 871.39487201064287, 871.94971710560981, 874.47750221715069, 874.8759392980171, 874.93007511017504, 875.04701572189413, 875.4275747471163, 875.81842549335545, 877.02510046082466, 878.04632724175201, 878.20236438657196, 879.9701671415819, 880.56696868120468, 882.13212652518507, 882.80890107028881, 883.29780489350912, 883.7636271096128, 883.91391659476847, 885.56699020111887, 886.6619141202699, 886.85996136889196, 889.08839250967389, 889.16674037284304, 889.22587383956397, 889.29449959424994, 894.17491907448994, 894.36061780686259, 895.3100553372567, 895.39562210511997, 899.16979186989522, 901.9432679452234, 902.49575874986158, 904.21153283650563, 904.3083312788749, 905.23782915175491, 906.43100827103683, 906.75811497340908, 909.62724945047603, 909.80252777375119, 910.29047641359193, 910.45905126212585, 913.16084671431781, 913.21837015698111, 913.69933530492972, 917.967576901185, 919.0928624678711, 919.65669789199171, 920.17217790201437, 923.77866387678898, 926.21666194015825, 927.74407769448169, 929.24753701650718, 929.34490518764778, 930.12438474946134, 932.14222315023414, 932.64730682190645, 933.41314280073254, 933.64709719130917, 934.09909326918967, 934.44311585352659, 934.53048148125879, 936.40016797049248, 937.38390096991645, 940.34312336448477, 941.90992219421173, 944.17249831189508, 944.33543853017284, 944.5910328559786, 944.6914522356476, 950.69453511463394, 951.91624282347368, 955.18981822522267, 960.02243744903296, 961.01813224133116, 961.69175790668044, 964.91835198608283, 967.22266057547051, 970.20366396850739, 972.28408511411249, 972.47810729681987, 972.79924083897652, 972.98198461623087, 975.11166622905557, 976.1724134669189, 976.39792612303074, 978.2347727618527, 981.78575408948552, 982.37225478505479, 982.42559189480221, 982.70234124063711, 982.94800875484191, 983.02324314635337, 983.76780469913228, 985.12543363996076, 985.42337144973749, 985.73548076901261, 986.72739199879538, 987.42538803838374, 988.77312877135864, 989.13603020020628, 989.77742906390938, 994.820723253761, 995.32721168249157, 999.31952405732466, 999.76652550994481, 1000.9611943258134]),array([71.185390783380342, 71.888026375961147, 72.712957265109651, 72.867302771863791, 74.099485247688079, 74.996192062160404, 75.023703660782061, 75.406205659131714, 75.47716275233951, 75.786735531771669, 75.854412668057478, 76.223004443731469, 77.88574286254098, 78.047881373525257, 78.256972360888724, 78.41751329183414, 79.89984858862816, 80.377331294238289, 81.772059270626642, 82.260816244270742, 82.672905080405783, 82.782820085437066, 86.200934791539382, 86.73813309004467, 87.409588910785132, 87.850400094805124, 87.986844789583856, 88.084904036154299, 88.804814113942484, 90.143198379853388, 90.329423660547263, 90.685907174735476, 91.255110368047738, 91.94934344006964, 92.308499841972278, 92.562610782562643, 93.322770369551719, 94.044330691819013, 94.589687823723679, 97.747153558310828, 98.592165238979334, 98.967172821139769, 99.049001781410865, 101.25276713849161, 103.40859407226287, 104.79823289799093, 105.46247871473281, 106.2435683310532, 106.92549901234194, 109.51002885787972, 109.9457405117524, 110.47033255190009, 112.22584860982614, 112.2817688206413, 118.81567015864526, 119.10122456864167, 119.89619790878415, 121.90388645806597, 123.42150196175599, 124.05931755851401, 124.17427198088751, 124.79777933008097, 128.42836111885842, 129.05294556528261, 129.52885693029492, 130.67877665695337, 130.71985006604336, 131.13037500831064, 132.23098294912964, 132.25722137005496, 132.86813498423271, 137.27993994660574, 139.56594637890032, 140.52715171407723, 140.82990497333856, 141.04188113977278, 141.16024828826593, 143.92347372168459, 144.00985804307805, 144.85463480114279, 145.15848751036188, 145.51065259602743, 147.06418037502328, 147.17556505747635, 147.31617311663322, 148.99503365653925, 150.78557635340164, 151.6704277623206, 152.82645199820752, 153.05516976256831, 153.72967015751084, 155.41278409199464, 157.68418919013067, 159.65033773585827, 163.92556994110589, 164.58325359187003, 165.55503886577327, 168.13895796218733, 170.23904327355251, 173.04181065584751, 173.43385742117425, 173.72121845619091, 174.27381236501719, 175.28666136351669, 175.81727834802996, 176.11385070534877, 178.70226993630553, 179.35867296415401, 179.97538551336325, 180.1307624520249, 181.24850869015032, 181.74946830082408, 184.13733430666107, 184.37225837178315, 187.56066021146637, 187.98652576546971, 189.49469271511029, 191.26291203829439, 191.63949191212123, 192.79214197223868, 193.43810267651111, 193.71430527584693, 194.58166292407043, 196.20683623754101, 198.33205915429551, 198.54553041713245, 199.25464602145817, 203.07307950781691, 205.06832809804516, 205.38223536742638, 206.44276063567767, 206.92799962113259, 207.00990265092949, 210.36813768796515, 211.20367307299534, 212.27115387576066, 213.95342031655696, 214.08722113700347, 216.61586393638245, 216.69664690954781, 217.68343878088803, 218.2304544216849, 218.85732333841267, 219.67845351901173, 220.06983491950933, 221.11208694220201, 221.61546259989859, 223.50480229100464, 223.84258725170741, 223.93754936498431, 224.21905878334545, 224.60607738183728, 226.94737548546567, 227.71694699571083, 229.7504461195027, 229.82672708258431, 232.57087349634986, 232.65903165958505, 234.67793875753733, 234.7280213636534, 235.42254475673107, 237.10636537759044, 238.90005790498117, 239.00662268550252, 241.06454578048783, 241.2211309926769, 242.16861545649127, 242.2818606139181, 245.02442729459096, 246.84783144718131, 247.82979348999049, 247.88317440754386, 248.49763161394722, 248.52975610013897, 248.86186327122095, 249.7225158610884, 250.05935740419059, 250.85997724345711, 250.8917998683406, 251.58028599661739, 251.69581827524868, 252.18995002261079, 253.79202681141686, 253.98014154702508, 254.90422264498241, 255.78003956305028, 258.79338817727353, 259.5080655753963, 262.46459942242029, 263.95424380570688, 265.49517223578681, 265.79577119144375, 266.22719056433959, 267.33867195306772, 268.62933626957874, 268.88561159316816, 268.93359556055645, 270.46703899353889, 270.55647542470217, 271.38098545433252, 272.25498059202539, 272.36328899619502, 273.01885006996821, 275.31389812571911, 279.39373930938763, 280.36094768678674, 282.67852198272686, 284.81371178250072, 284.89541722367608, 286.51546014342006, 288.54554025566387, 290.00243422776629, 290.29276582958948, 290.70490171445226, 291.58156182983839, 292.8481372946294, 293.30872789801992, 294.76980202948533, 297.92328509986561, 298.08689793724267, 298.26005150520308, 299.49302839023676, 299.77265807809698, 300.00576377783358, 302.45872569001801, 304.1107442782357, 306.03377800574759, 307.12091788569552, 308.49574494821223, 308.90233366214471, 308.93636123775582, 309.12858269037247, 309.89547932800849, 310.6350650432222, 312.1236242414916, 312.52666774071383, 312.72151280531637, 313.71496135990452, 314.04541623794557, 315.9853755687331, 316.90093402384247, 321.37679966884775, 321.5359198023549, 322.69769174109047, 322.73296968337525, 322.85323423217739, 323.62447011675272, 324.11616906325531, 325.02103964964363, 326.11309591290637, 326.20167750959979, 327.1418222779364, 328.48476787565403, 328.89779586078231, 330.20324365939888, 333.28548175089179, 333.88884265653491, 335.7547713563211, 337.62924771119606, 338.63482391616157, 339.04115853201841, 342.48573941747975, 342.71945851885039, 343.27935757542934, 344.64738616301844, 345.43971944603425, 346.48889364814454, 348.28357512606175, 349.47663441549747, 349.56124006734024, 350.18181949831552, 351.54689638909383, 351.64921603722121, 355.20006179309502, 359.58226861390506, 360.54153179677007, 361.63428978262658, 362.12383035614749, 362.73605665805866, 363.15139009013677, 363.24273254792229, 363.9350767448762, 364.63399369774669, 365.30499203471464, 365.3631896340155, 366.87505888896493, 369.36189105360342, 369.71659294067399, 371.15860230288888, 371.84557748658, 374.63468710260662, 376.20305904750552, 376.45329071090333, 378.61929215702605, 380.89746024687776, 382.21712152416421, 383.9566731659728, 384.39595153170859, 384.89671979641446, 385.76176779255547, 386.97922042533168, 387.60953654673256, 387.97413240945656, 389.9189076940761, 390.39827608160982, 391.17791318927436, 391.20636751784912, 391.58883054582685, 392.04537517357386, 392.5462232702111, 393.01375268443343, 394.80822189644533, 395.14541495181697, 396.03003879302463, 397.66078047133118, 400.88043125919984, 401.02096032824744, 401.52953415233924, 402.58720908568705, 403.44146626362414, 404.46424366703002, 405.08159889068929, 405.29698747012759, 406.13943312427671, 407.05846196415848, 407.29186564704418, 408.90555474414327, 408.95525836698545, 409.50756419268708, 409.5410182280807, 409.93871505261171, 410.28250185501622, 411.31105587575422, 413.32791047466873, 414.05579106975352, 414.54319221622791, 415.66259704740679, 415.69283996861679, 416.52541015052304, 418.33463757862523, 418.51473883569042, 419.66917629746422, 420.5371648218258, 422.4196049350395, 422.93272196250041, 425.62954372757503, 427.38675271589267, 428.09053522648554, 430.25145923878529, 430.36165080822605, 430.5223464022103, 432.95596227707415, 434.07529301571037, 434.50304524451064, 437.34894509282111, 438.88139361780321, 439.24388761838316, 439.6884286550391, 440.00561151865281, 445.04830103186049, 446.57558720852467, 449.80503243134467, 453.36028276482733, 455.48929502621229, 457.19687419184959, 457.96740545228164, 458.86873266049747, 459.31430187038131, 459.3760889310069, 459.61135205885324, 459.74339261720047, 460.73642961540901, 460.88324647246577, 461.44679023630084, 462.23384428828729, 462.29682541990536, 462.9828805817022, 464.02367721537667, 465.28023519460066, 465.31341159086543, 469.24052693939268, 469.75078928397909, 471.38217006464401, 473.53899343790044, 473.6084250681414, 473.77302923063854, 475.86037988874625, 476.99054442480804, 477.78928155547936, 479.04009688969296, 480.64824582057099, 483.58659191787359, 484.56944942896268, 485.95080889438174, 486.19899668446237, 487.84036358273158, 488.11723351859581, 489.58431605091789, 489.83035769849278, 495.43381119834453, 497.16434152359426, 497.55020929793579, 498.88007594428552, 498.95305684670694, 500.75134901757514, 501.32098168654147, 501.97291314965156, 503.73565963770267, 504.38021460438853, 506.22442844270148, 506.68042484281636, 507.44603188236493, 508.81500926200971, 509.06583407141358, 510.78010938046964, 512.75835515265567, 516.24264734811698, 517.94600174297216, 519.32931901407414, 520.05342735791442, 520.09254230420959, 521.35130497925513, 521.78889491422979, 524.42050937208819, 524.62839161769466, 524.87566241269838, 525.92319217313957, 527.06539416806754, 527.60803100505098, 527.64933712277616, 528.41618295303556, 528.50083819794804, 529.47453167770118, 531.20767354485736, 531.47780904135516, 532.01185357428744, 534.30672193951727, 534.56301932591941, 535.30915137146428, 535.35638773461608, 538.08622747735581, 538.36867474386759, 539.05272126746638, 540.06462524855158, 542.7160827256937, 543.90442727549248, 545.71648433981352, 547.86600550580715, 548.75143760372816, 549.6707586814116, 549.90565014115737, 551.91552380234555, 552.77459390808895, 554.24764582992179, 554.44434626700695, 554.97123654335917, 555.32086508177872, 555.97391144623703, 557.19148669595654, 557.62469253541053, 557.78057872577324, 558.05541675052029, 558.36208178126844, 559.84224883845843, 559.90918183072711, 561.47142279423792, 561.61757281325322, 562.15733872187059, 562.37403509220815, 564.43659918370372, 565.72142917530357, 565.85398536965442, 566.97603133812504, 567.0465490089457, 567.54132871595698, 569.33803025824898, 571.28039796034273, 571.81462890404487, 572.52007104768848, 572.73377392025282, 574.00961746319808, 574.2316640309042, 576.23204378543892, 579.11542884659843, 580.08680720830569, 580.30661471444409, 581.57464573756704, 582.59901483386966, 586.01169317001484, 586.13516708345867, 586.1910991704566, 590.5400696376829, 593.44664220320249, 594.12398461242492, 594.69986008633418, 595.4231991308111, 596.14136367970013, 596.40742445421586, 598.43586937347368, 599.05253469325362, 600.30849943320914, 600.76648813338102, 600.96273523743173, 601.03613497429922, 601.36982298764212, 601.55090492476904, 603.49860618215564, 603.64231739257866, 604.9802132057182, 606.0471751616119, 606.69723148460741, 608.83564348981167, 609.46707020748693, 612.97339682047379, 613.16867124522753, 613.70213504378501, 615.05383355702133, 615.12108309651728, 615.93992674420247, 616.45556354491794, 620.08807882103588, 620.27013508137975, 621.24587086642919, 623.93592264677739, 624.79234736598085, 625.14167277303341, 625.41192791530705, 625.73768156289066, 626.77993155816966, 628.56919422122417, 630.4295479488934, 631.21317828507404, 631.73704015990438, 632.97307691112405, 633.42463702846408, 633.60296688579581, 633.72144382315503, 635.17334456220738, 635.54959869122854, 635.88186640222796, 637.23904621304996, 638.60311976594608, 639.32708238209295, 641.28855762687135, 642.73477399763567, 645.05331698082045, 647.53975001667936, 647.99953815979632, 649.7878278024283, 650.35367658438406, 652.06057654458664, 655.01506899857054, 655.37730508152151, 655.52167927702681, 656.83261875630194, 657.34997879863488, 658.00844917644292, 659.44798446872153, 660.43931034770355, 661.25728422094926, 661.86411270584381, 663.5201830077558, 664.4114079074584, 664.94432798592345, 665.00203996247512, 665.38861734514535, 668.00938494141371, 668.19538925630127, 668.61000984215377, 670.03313990868844, 671.27101946565961, 672.03065412308956, 672.86182751441402, 675.24288122599899, 675.34658408151495, 676.09099018430413, 676.24400188712616, 676.31407096348505, 678.43539600435247, 678.85392012648276, 682.13463443362707, 682.80528398390527, 686.36217512352425, 686.91182045096207, 687.10337971552292, 688.1084846318563, 688.22634035602994, 688.67370766696422, 689.8595990017127, 691.47200625032804, 692.40399290697701, 692.42714194004179, 692.6073752053718, 695.17804961234356, 695.81883144865117, 696.96096120583502, 697.16385046903497, 697.24486308739938, 697.9923824776738, 698.39307779178887, 700.01978371121425, 702.55518444087909, 704.48593712237528, 704.84859308373098, 705.08538813627717, 706.81908264603544, 708.8418983503102, 709.23142255714095, 710.66894077232996, 711.59247415830146, 712.34341815396124, 712.79226120348528, 715.9025898143002, 717.17245454091073, 717.75723661709242, 718.12386247619509, 718.63034454663875, 718.85839662603803, 719.50665130414166, 719.6731244203952, 720.25070513962646, 723.4808356339031, 723.54102200680745, 724.52811842967697, 724.63968476086177, 727.92349300039314, 728.07025775533134, 730.05806973433994, 730.9947138199683, 731.47052530645794, 732.36914690360834, 732.41601571456033, 734.84434717353577, 736.13030405213601, 737.02684293144443, 737.07612376422526, 737.88899133492589, 738.7193029776314, 739.16811641415131, 739.27807443492679, 741.78342731346061, 741.96845416481131, 742.50642787696063, 743.81533153697103, 744.26350765640814, 744.86962475309247, 745.29858042988849, 745.9384574922542, 746.04064604977646, 746.51009766041125, 746.80056145342985, 747.56285397305885, 749.00210029160758, 749.31305520519186, 749.91020696850148, 750.32220784431104, 755.16545858459779, 757.82254627406883, 758.06139293744059, 758.28111167553016, 759.70001334469544, 759.88845502897595, 760.75341241594276, 761.44032887634944, 761.8778609431763, 762.21589010620687, 762.25966240697903, 764.32050072077163, 766.71246619496026, 767.29284299971573, 767.46499616579467, 768.65442098124038, 769.96848175367325, 771.06465626795114, 772.21894072045143, 778.15066231187598, 778.88897558490612, 779.44616793109844, 779.93014262098643, 781.02198767599953, 781.25196681076898, 781.69286265311962, 783.03118504014321, 786.27105311051685, 787.24705410750869, 787.49406909313689, 787.62613159621276, 788.55025055341537, 791.34671466106261, 792.38334314653537, 792.89362639812623, 793.88811484756798, 794.1973992753941, 794.70987690675304, 794.78986336759499, 794.91820357444431, 794.96268122673303, 795.1416301485508, 795.51336123954775, 795.6508643249947, 795.9628124727293, 796.50927644068031, 797.21690055148235, 798.55095955766308, 798.87964547692559, 801.47305251467662, 802.11038963214116, 802.6341199853814, 802.78585226020539, 802.93993527347595, 804.81596522372456, 805.1265374542786, 805.46945096032255, 807.80477674716406, 811.01301380754546, 811.54607824372965, 813.04908484512907, 813.17710571999021, 813.85886817538824, 820.09744643531701, 820.33493963928549, 820.54334901985476, 823.27119094885745, 823.47660857613619, 824.09853786781343, 824.47305650174962, 824.55301899573658, 825.52123801334506, 825.60790519811826, 826.78283799927408, 827.10717299959288, 827.33197628229493, 827.76970276589611, 827.943475354361, 828.13298354904691, 828.20969681781105, 829.43383307169358, 831.20881720528064, 832.64918821432025, 832.98062600486901, 834.97507351634044, 835.04230371081621, 835.19851953276907, 840.35723955363551, 840.57587355774251, 841.75985219508607, 841.87742634591666, 842.1697629957423, 842.80525112082694, 844.17779722667706, 844.46697905537962, 845.33036934713186, 846.56976793930755, 848.20050401572598, 848.36418643254945, 848.92832449928608, 851.027353873842, 851.41348221743908, 853.08309865765909, 853.63408693261715, 854.4452287529798, 856.18231866466931, 857.24465768469713, 857.41226722567274, 858.0018588337025, 858.02742389496893, 859.51341042909382, 860.31461729845114, 862.13226687170595, 864.21503816857557, 864.44278768592403, 864.71937221266546, 865.41380624715202, 865.72618070029705, 866.21907593066055, 869.06687330041268, 869.24477443965725, 869.30679230260193, 870.48081924939208, 870.68126422353282, 872.16694587728489, 873.33581779709357, 873.64279242842235, 875.19124215975603, 876.02838721038108, 876.57780823582846, 876.83925997299127, 882.88967302613582, 884.30384317680512, 885.32921677830939, 886.65147193807957, 887.32728107271203, 888.87133687290975, 889.03815969393054, 890.60080198057631, 891.86026816013214, 891.95175687090921, 892.20000834652478, 895.80876186206058, 896.04311337742388, 897.72940011885714, 901.20745879745732, 903.55182342625608, 905.29605546322091, 906.50564699341953, 908.14496289086651, 908.30929726261502, 908.33389564792162, 908.9285995659485, 909.56250349521872, 910.2349585106648, 910.26084887819036, 913.86951283709527, 913.99771584393739, 914.27018042545478, 914.75525282288606, 916.93645522608813, 917.02435213232081, 917.38594723847382, 918.34063963944493, 918.87407386093412, 920.09634520092527, 921.41021852192796, 921.65660077044868, 923.87059644942747, 926.24385059716644, 926.81862313072918, 929.08599616459799, 929.73189711455541, 930.80365306331589, 930.92241414251305, 930.95446093922749, 931.09173559922363, 932.6516253220326, 933.40199268229765, 935.15547581990506, 935.22267275650734, 935.59527555034128, 936.12454174769937, 938.00386375263133, 938.8476505319635, 938.91879423778073, 940.42334654243905, 941.51967923721577, 945.46002401082592, 945.77352845510813, 946.53635255648351, 947.99847640230917, 948.93373082274923, 949.80313463495111, 950.56000953819148, 950.61173030802524, 951.95159978317577, 953.88940012779165, 956.43813613937004, 956.56742532582621, 957.50215619637754, 957.84818623924048, 958.04546964993165, 958.92652285528163, 959.27636321605632, 962.94550695898727, 963.28496959536778, 963.31697415775011, 963.45546296893144, 965.95386916947609, 966.20612050712793, 967.33520889226463, 968.2065366181929, 968.35319046527445, 968.89267462179225, 969.8734298073299, 969.99207519097183, 971.90067410465895, 973.74846111616364, 973.99127039058612, 976.24439661421741, 976.5136085121818, 977.00125249916448, 977.93025606223011, 979.06809877348189, 981.69491236537419, 984.01545757560143, 985.9620571830211, 986.4861890608704, 988.9348120042589, 990.61071156928324, 991.37144022913253, 991.48669011908692, 991.66325167638388, 991.90248461648696, 992.16285731025675, 993.68785640482417, 993.72490334769054, 995.27623582109527, 997.98231277867274, 998.73264511723551, 999.83445536349757, 1000.9256950366408]),array([46.396676556231085, 48.993426043186119, 50.647970738712253, 51.040464640984261, 52.325743812428072, 52.829297807511139, 53.12060207293343, 53.580846501762096, 54.103816357162941, 55.233039068385615, 55.782705907035783, 57.175327947747604, 57.558530911300828, 58.632502596795355, 59.270877800815661, 59.858958593806989, 60.609655797252906, 61.080721782740959, 64.351154029141938, 65.192497433689425, 65.82571971356397, 66.985243680084594, 67.82247472249054, 68.701349504881222, 69.52136834317281, 72.410915173235566, 74.812198256816714, 75.910134488618297, 76.136481635846351, 78.457427736053418, 80.437745919073592, 80.834382725840058, 80.897371492850539, 81.581171428753947, 83.543767356072379, 84.584363520469026, 84.657062403730322, 88.199515242364413, 88.590187490761764, 89.014798679081963, 89.399440593318161, 91.320359954210502, 92.211906529226127, 92.306938759298504, 92.578811922071893, 92.849268267455429, 93.271654293760875, 93.98950051487914, 94.786109683960433, 94.868565138132311, 95.281538181167477, 95.932209819997226, 97.202083226328085, 97.502882548834577, 97.985228758684073, 98.233990259156116, 99.802845549499963, 100.26722464126124, 105.19653037545203, 106.59528985160428, 107.54981949808698, 108.2571134752, 110.84946482872985, 111.97852231365175, 112.19300270930083, 115.52938998323384, 115.75672596409969, 121.20634072164243, 121.8021016689499, 122.69441862994432, 123.55849649589535, 125.5276124077543, 126.77243549371897, 127.03191014695828, 129.49707936516504, 130.82256927712496, 132.36973263451378, 134.11543107941611, 134.63980650568544, 135.17144720144944, 135.63741760702254, 135.90678203014124, 136.05926314556501, 137.57461053252746, 137.63844050429145, 139.15681749830318, 139.51126990800762, 142.40786503653345, 142.85061222321301, 143.3417921200427, 143.37611574418551, 145.04038585616257, 145.89394579240297, 146.24214679294639, 146.4722942136392, 147.65239649137777, 148.86970248686185, 149.55180958748221, 149.59606940517801, 150.83538521085876, 152.15717982693914, 153.52190006271519, 154.5963158736983, 155.49848634506208, 156.46141871373467, 156.7127437196059, 156.95940469984313, 157.21664781588581, 157.91446075853349, 158.45158656446202, 158.59950397600042, 159.36582004584201, 160.4188889670796, 162.62762734918221, 162.93803910395491, 163.08116675308105, 165.88277851128797, 165.91191614569706, 167.44321254283048, 168.77629079901186, 170.05662323129582, 170.22014432489365, 170.42999662582918, 171.58959158810066, 172.81018651437273, 174.33219014693327, 178.99187341073599, 179.16981878692502, 180.00771351547161, 180.39883334086994, 180.90171521286973, 180.94705800900928, 183.02176528494033, 185.01624127287124, 185.51760945233207, 185.56013809632117, 187.67053500750094, 188.54682724157203, 191.37050804161248, 191.40767613726766, 191.76581006002291, 192.11387419463904, 193.26876769237782, 194.47607720175665, 194.51455356825107, 194.58584667885697, 195.27781164519223, 195.61973694723082, 195.69388025370856, 196.06076582749824, 196.29599275766003, 199.94607094374564, 202.05765274723075, 206.38092951815065, 206.74888358989969, 206.78016865171514, 207.20404873860764, 207.39243025334923, 209.42126961358912, 210.46903547478149, 211.24263612405076, 213.40580497406214, 214.03985039798465, 214.21131918253684, 217.35719000366109, 217.39778227646704, 218.16717763903463, 220.62928322631686, 221.73079100418761, 222.2376156307559, 222.51774967588335, 224.40442552637029, 224.89832230827875, 224.98382420800689, 225.04151812704157, 225.47739690331974, 227.19216098497614, 227.59700351990529, 229.06907018923479, 230.73236069255628, 231.10205432917198, 232.29607632489899, 233.48457331196079, 234.30657613522447, 234.63601326156947, 234.92158041521947, 235.03171903054206, 235.25734723984701, 235.72343120583338, 236.1520711607584, 238.05287345060012, 238.69743704465603, 238.75103075669651, 238.78021592875527, 239.21307109964576, 240.80243711212731, 242.3304633555538, 242.45842453005395, 242.57877287981324, 242.76022094045328, 243.83402067021839, 244.74607127578651, 245.99486388544082, 246.23402560539651, 247.30994511008075, 247.57769207131284, 249.64143139990375, 250.55591565945085, 252.41290957065567, 252.44569042403467, 253.04058610305904, 253.08532158156788, 253.94962293971773, 255.5271864719036, 255.69787034872587, 256.85170351756676, 258.10893920057129, 258.78697387828424, 259.61129676986678, 261.00011199414627, 261.35083201725462, 264.14828065603359, 264.53617511792919, 264.67536842926813, 265.04913708084212, 267.15641528807191, 269.64218267838817, 270.134284635992, 272.00070339943551, 272.31788591922077, 273.34992964099791, 273.61893601653497, 276.25986268367603, 277.78185239348562, 277.87444451715635, 278.43533379953766, 280.04232457307393, 280.21968173886461, 280.40248159278332, 281.26647804100975, 283.65457545560116, 285.04049548087681, 287.09669193103599, 289.44688217955201, 290.68729014346212, 293.987478905464, 295.1554832374033, 295.49542325026903, 296.46973524054118, 297.45910682028648, 299.08698047367847, 299.29960654187579, 299.85338832536024, 300.98469219627992, 303.4699829727337, 303.58225029896767, 303.93220681339915, 304.36446011616158, 304.66822419882629, 306.3525892199624, 306.5260696784967, 307.59146993456972, 308.83691192833089, 309.73398340598447, 310.47861242122235, 310.82116509844229, 313.27455579848237, 313.68456476752903, 316.40576312700449, 317.36095239476623, 317.46155997834359, 317.89335154582494, 318.01007010944301, 318.25609534115102, 319.69580692018468, 321.51266263071619, 322.23474074349883, 326.12114747642039, 326.79484887489343, 329.69721915189103, 330.25172747434885, 331.30727729971613, 331.67262952221887, 336.18649032422837, 336.50227984824409, 336.7246907631789, 337.21003991905087, 337.41591149619416, 340.04194772540569, 340.16016139825166, 342.16614957736209, 342.45522724762719, 344.42672388538443, 345.67292302548151, 346.81571325303088, 349.14637891396058, 350.07722034789612, 352.41722716856304, 354.99837693365754, 356.93362428785161, 357.95355820745749, 358.55804853245854, 359.00690924945155, 360.0653689731318, 364.11114684033691, 364.50126372840941, 365.65455413984444, 365.94354868458538, 366.49950167353433, 366.77414943772283, 367.82313056500521, 368.44905762286476, 368.47802179570539, 369.29989279417845, 370.28592575235911, 372.42114820845387, 372.97820097659707, 373.3188771077584, 373.40198671148335, 374.02888152454892, 374.41251246193582, 374.85852928265166, 375.48579777410885, 376.28731757228155, 376.38173719530511, 377.03586657634935, 378.57181780400231, 379.79277837708077, 383.46314503725284, 384.14226966826618, 385.15615837548461, 385.23445168518487, 387.72664219309854, 388.34883147210525, 389.25291957683197, 390.17216448755238, 390.51571841513038, 391.0015795617299, 392.65398044239873, 394.13609605151316, 395.87765274125485, 397.69907547153218, 397.78995821373178, 398.32214290364976, 401.57796471881448, 405.1303529304738, 405.62595931194062, 407.77651133031355, 408.92550851647297, 409.24378313117796, 409.4611064661309, 410.93309997691722, 412.76816286218747, 412.97873951756168, 414.14108054731008, 414.71932363446291, 416.77497876584914, 417.49383805767218, 418.95149947977541, 421.84679011850909, 423.18326493489303, 423.28869756246871, 423.94040936834887, 425.96709058659542, 426.07531819058636, 426.24403392386017, 428.33096346386861, 428.65941795802223, 428.84477382062738, 429.57114437452498, 430.03013677929539, 433.13108747556117, 433.76037863244665, 434.25536428345572, 434.55977257979629, 436.15124178179616, 436.37115121445987, 438.26226466341569, 438.55468866871769, 439.60707255185793, 440.46447736083491, 440.97854691291047, 441.17400952967427, 441.83022922271584, 442.10290400757066, 442.91314071176788, 442.97724197933252, 443.11640996678938, 443.20214563296133, 443.77325952553565, 444.52297191199045, 447.69862979495315, 448.10619668849932, 448.91365108660671, 449.20876159771063, 451.31562600460268, 452.36682496256958, 452.85056010119013, 456.98675892658429, 457.41157181926064, 457.84731996636276, 461.22235783354785, 461.24694154238301, 462.92784621044802, 463.29139099431148, 463.48100902174247, 463.93939580293556, 464.27878581862484, 464.79458618679155, 465.5955957998824, 466.59776436324444, 466.63637152195935, 467.65273895442851, 468.57258682624712, 468.81838760600402, 469.14005217265623, 470.34688944795181, 471.00892256827439, 471.3545935643848, 471.44437878018988, 472.32479656802212, 472.49840311461321, 472.71341875127388, 472.92972778789107, 473.02751399148616, 474.48435006025295, 474.6508201936748, 474.68123735230398, 476.02597371434427, 477.70162272279367, 477.85662111819755, 478.05933729292786, 479.06417974724496, 479.4126941019066, 479.82544191869107, 481.35732115432882, 481.4468272319175, 483.20235751901055, 484.87225564150134, 485.14943996449631, 486.94428491968421, 488.48879847278482, 488.71742624026803, 489.36059478619762, 491.14106120086717, 491.89345317794078, 492.81020611453118, 494.2816307106998, 496.79255056213117, 497.9190645936082, 499.75059040439612, 500.8912329130157, 502.99756639137519, 504.05658730201515, 504.08004914359731, 505.19498471711478, 505.87979931681332, 506.22674409229626, 506.92846712785393, 507.43486201411628, 507.65694102287887, 508.88693693020412, 509.08217604087321, 511.01542955989595, 511.82551201695622, 516.01389873770393, 516.37915230573969, 517.03634511420614, 521.03183545061665, 521.49702441694228, 523.87494592412304, 524.02241506137568, 525.6196290114957, 525.78859074835873, 526.74526098784497, 527.70344297460019, 528.43360484266339, 528.60290568027767, 528.88609123448441, 529.23677326992333, 529.65856781323498, 529.73318702868767, 530.38028770678238, 530.84151961926671, 530.97965840008555, 531.42579253899135, 532.21584206572845, 535.29180281968718, 536.09299419381955, 536.11814268166631, 537.04377953978917, 537.95023361352742, 538.33135509962051, 539.08694067356703, 539.8182853231018, 540.59154010637133, 542.18809778776517, 545.38116808017287, 546.17293452081788, 546.29433090189093, 547.63940145046706, 550.70144332984648, 551.44463353004369, 552.34807487564569, 554.87046296361723, 555.02573810698698, 555.12186880978811, 556.06321581208624, 556.87544841452711, 557.1539775285944, 557.94045512089451, 559.32954659540053, 560.14117847964542, 560.38220222880159, 560.75653438054155, 561.28425118733378, 561.94975384247891, 563.54854422417043, 563.63870339429332, 564.15501279603006, 565.29385249591883, 566.33679493644991, 566.85121405931454, 567.20125851312787, 568.11108433677248, 568.69798034410121, 571.88193936534981, 573.00489914038656, 573.92617239581352, 574.50385259256689, 575.00695638605532, 578.739363416826, 578.80131675808764, 579.08870478183076, 579.84980270778055, 580.12355894031691, 581.67484236097016, 584.17445730237557, 586.88718699081642, 587.84217982650875, 588.76739317574368, 588.87822000981942, 590.0437078902695, 591.23930421183366, 592.09251355155891, 592.26212752929564, 592.32358648107322, 592.76757615621, 593.18967320323088, 594.39315871285453, 597.32270134472685, 598.07935071548707, 598.70358891573187, 600.02551344152891, 600.49299055181223, 601.75659491215231, 605.3054722740261, 605.53248018981481, 607.14179371758757, 609.74075785569562, 611.18852635886867, 611.24626980940855, 611.41080549262995, 613.04674431907586, 613.99663288310092, 614.44084986494738, 615.65706511467431, 618.00023967590676, 618.95976031184819, 619.00405228704528, 620.03369102564773, 620.39257872195981, 621.24446799204748, 624.07920403535354, 624.18090199789481, 624.22447531046907, 625.15873316711873, 625.2976508539989, 628.49250339715354, 628.94483370808325, 629.86660949356747, 629.9373989119623, 631.21296857267509, 631.23881618000246, 632.10746642116067, 632.72440102760731, 633.66463018824322, 633.87545245258536, 636.77199567657067, 637.1804167517048, 638.89970529540426, 639.63762804691873, 639.92511118052028, 640.88730476189392, 641.02909364079426, 641.46347247866311, 641.57268469290148, 643.00834923423611, 646.42599484697598, 646.7317107718693, 646.91072245812006, 648.72516350300953, 649.28284600039353, 650.29913335741844, 653.36619303064151, 654.39731025153674, 654.47409152910382, 658.66624448978155, 661.23263252135803, 662.74142496302488, 663.33485882656475, 664.20169350910533, 665.38469002125635, 670.69400386837185, 670.842649587746, 672.60268016115469, 673.38609233744569, 674.02326471146057, 674.96017039742117, 675.38765392627761, 677.00005032595254, 678.58007120380023, 679.00213963226986, 680.81177860494142, 681.45971556212498, 683.77545933663089, 683.84437968687371, 685.18491968016644, 685.79739720729151, 686.69143042308701, 687.54250085728518, 687.58983157045668, 689.71948990321346, 690.77403070520154, 691.3686583155868, 692.61729430569517, 701.57272299046053, 701.76545880474566, 702.76988995529882, 703.62096044011457, 704.09214317815588, 704.60803283512598, 705.33592477929358, 705.92148260054591, 705.9734200413119, 708.84365389109371, 709.4414034400944, 709.77746245222795, 710.17089239821269, 712.75422890431491, 713.49814459395179, 717.76902830610493, 720.11215231903816, 720.41245882030569, 720.47332998363368, 721.83781678727837, 721.92636504506675, 722.40201646537207, 722.56363889444515, 722.9806237556852, 723.90544180118366, 725.25783861015736, 725.36583454796607, 725.40911766115789, 726.00776726333663, 726.17467384219799, 727.61438772648944, 727.90126607238119, 727.95699996965322, 729.31468740521746, 729.94368888877375, 730.00036384295356, 730.38258059059285, 730.78884799858122, 731.14449093401913, 732.17933095683077, 732.40524623091869, 735.22391030724964, 736.71713047751632, 737.30679579749449, 737.32961118039032, 738.64809733969514, 739.69879340092484, 739.82135213259005, 739.86354441133994, 740.11359075761743, 741.9187392665666, 742.0782214194744, 742.5718463018153, 743.05058906923728, 743.4876472447786, 745.24557908160818, 745.30804218728929, 746.31470396568511, 746.56368720519004, 747.26008527527711, 750.29916176529309, 752.33840969818141, 753.29143404432034, 753.39381425420277, 753.51192147363042, 753.99585700999683, 755.19080833355883, 755.62691407996886, 756.14527225277061, 756.33609263321284, 756.60408663598878, 757.40689071262273, 757.94355523833508, 759.27137345180347, 759.5301446740865, 760.43334605284872, 762.72670354245156, 763.31031835362216, 764.07657080394006, 764.23111475655514, 765.14325021812181, 765.31973019976317, 766.11271405053549, 766.78644270749589, 767.58920163219875, 769.26015224812841, 769.36666821935273, 771.09835370852556, 771.58857079829636, 772.23440787797495, 772.70303125217231, 772.91317323106352, 773.15052653695273, 773.31216252863442, 776.60447609490757, 778.18562958955499, 779.14477170569558, 779.68516447121976, 781.10559364180438, 782.62500919265312, 782.7579806238632, 783.40080393459084, 784.37844631351265, 785.36687825114529, 786.85522584956061, 789.45707598422268, 792.86710839547231, 794.4402309208217, 794.55727454367843, 795.1986470562025, 798.0791417633618, 798.41753051406363, 799.27031830511999, 799.75171082176905, 799.95710415731412, 801.55737224764869, 803.01723633245422, 806.62136893266552, 806.80501695276371, 808.41185078022249, 809.74307525224128, 809.8325877533216, 810.30763454417547, 811.65008953756785, 812.71526791608028, 813.28083131720962, 813.68379332875588, 813.87964911268057, 813.95692895444176, 816.67832805174044, 819.28468889708904, 820.37920320228443, 821.10352999717031, 822.92551341779972, 823.62415064112656, 828.57481848817179, 829.62431937550127, 830.93360018621456, 831.54129051328528, 832.74958956434341, 832.81020784406837, 833.53318019189942, 834.24043489883172, 835.11082282453549, 835.49457016344263, 837.96924492706682, 838.50352991339707, 839.88899001580887, 840.73449087506924, 842.33639944130061, 842.62140677496393, 843.72166503032395, 844.05281880001826, 847.80280578069221, 850.10651628433595, 852.53644943541144, 854.24280517741215, 855.42724084201211, 855.49278296109492, 856.11039259827442, 857.13426015980815, 857.80066897586175, 858.10198888322122, 858.18822422415826, 858.49096844028111, 859.90663187900122, 860.60435218311727, 861.02591132104624, 861.65108233275271, 863.45456978059656, 864.18505051274894, 865.21771606366008, 865.39270430535532, 866.07834574126809, 866.22514586059879, 866.3844146811449, 866.93468682293258, 867.52567158458851, 867.99293923807295, 870.91878851631895, 871.32805102450368, 874.1975943485852, 876.30856176231077, 876.34569323552466, 877.93178221374126, 878.08766673477317, 879.5710120574314, 884.09414633217921, 884.13228584643139, 884.40564999723881, 885.14593709878341, 885.45035118379099, 886.71601662018293, 887.38378393123401, 887.41594630664883, 887.96248502933815, 888.40763694345685, 891.89434571294919, 891.96875458921454, 892.57712990363723, 893.97920957287477, 895.08572951625922, 895.24016132734391, 895.79135456227209, 896.37931196926627, 897.45002841057089, 899.69666865984527, 900.26411354837217, 900.80203278503393, 904.228162140525, 904.32108522165595, 906.37528311413951, 906.43745185724686, 906.74059973923454, 908.52056524431839, 908.59740930867326, 909.60009193358678, 911.03575260597904, 911.12993162000146, 911.53734440436142, 915.24135809795746, 915.66543330711715, 916.10615803824498, 917.48949051528359, 919.1719769568731, 920.69459680113334, 921.36833400559988, 922.32028537212193, 923.15080946884916, 923.22581422705036, 923.89630491281628, 926.15964133991531, 927.03601170563695, 927.10881656163906, 927.28650634995699, 928.05960359505923, 928.28752110789173, 929.25995063873052, 929.85759808609828, 930.99751452126554, 933.08245419751938, 934.56565145983211, 935.06681271175262, 936.30260411735446, 936.73988733390263, 937.52720222450148, 942.59101101276735, 942.76432261273226, 945.0817990508649, 945.63792826069937, 945.82847383197827, 947.50007000080495, 948.38561284551167, 948.8379952596257, 948.92575467623044, 950.25263847497206, 951.42489421494395, 954.11245933768396, 954.22985634604606, 955.06640892411428, 955.22877390694771, 956.72830362904233, 957.9134279208256, 959.09431771424624, 962.0238272927603, 962.7447040193199, 963.36396529873116, 964.6591532406278, 964.90229027094688, 967.27973141162329, 969.47354597548713, 970.18923393549414, 971.36470526123139, 973.00249283698349, 973.51545043586748, 974.21923028408821, 974.65390422534711, 976.47298065712312, 976.53979082811884, 978.57268295049812, 978.73768744019162, 979.43373228338692, 980.06339507970358, 980.91326781638986, 981.651515502395, 983.57151013244379, 984.58698641688818, 986.75607775733397, 988.09399830527366, 988.94981035719195, 989.03646092549195, 989.20767782342568, 989.85747321370172, 991.97673021993376, 992.35596501281475, 995.5429782546214, 995.68880222874611, 996.39368277862104, 997.32421255897839, 997.75881314030789, 998.3999456461321, 999.03280505963619, 1000.4689120511222]),array([72.176161127342922, 72.816048629654048, 73.49665839501435, 73.563838872615406, 74.013037482594839, 74.439731876468812, 74.629727869910411, 75.107465155470237, 76.695308112521204, 77.713159412770523, 78.52168698713875, 79.653337328481157, 81.710096997396391, 82.715694506864153, 83.758019371349164, 85.440722789391288, 87.118102042468323, 88.835302545954335, 89.848939671418492, 90.765068094522462, 92.073313062160281, 92.234816013602568, 93.639463340168291, 95.507817186072003, 96.762533791386744, 98.816693050818984, 100.85470480865406, 101.71702858100463, 103.00075000700991, 105.13818864665201, 105.69265309232685, 105.82270915472228, 107.97866487794131, 108.54886486541332, 108.62584648202564, 109.85419030661417, 110.06891200971178, 110.53575678646193, 111.29896842357135, 111.37225244876596, 111.41806504565302, 112.70603880483227, 113.77284915295083, 114.56348701219865, 114.70301969782702, 117.6685121204635, 118.49905172476959, 119.40870655039367, 119.48558030134288, 121.2249636864063, 122.52637394764844, 123.10291670514189, 123.5181184259511, 125.16667689770208, 127.14803082272168, 127.63176755932147, 128.03327671947775, 129.66788835392143, 133.20096551507103, 134.30370934722075, 134.53486115528611, 134.96809984793941, 135.67683010663731, 136.75309065404662, 138.88076777909751, 139.1783318589188, 141.57628994838996, 143.03423092174395, 144.25499582683267, 146.27996720571335, 146.68404235822658, 147.15501468051667, 147.18018297850517, 147.38169525703813, 147.96786959360205, 149.12631782529218, 149.5441846086259, 149.82435087509734, 150.88137461479903, 151.90207495869237, 155.31787987956682, 156.49164147565392, 158.0647821839226, 158.09370898386683, 158.25146729793539, 158.35897201811608, 159.75107650099204, 161.13828492105176, 163.00319862412837, 163.13471416565582, 163.39146846258504, 163.95682404344967, 165.96070152667201, 166.2081452995107, 167.68494536216767, 172.70288654767975, 173.01564695061467, 173.14932905348056, 173.91306096694791, 174.82359867666841, 174.98083923264932, 176.21945348810488, 176.52726737304442, 177.12756664532824, 177.77916215485467, 181.17073369080643, 182.69235109239307, 185.10573615841963, 185.82863370272642, 186.63430710253519, 189.46189036293316, 196.21367109850701, 196.41812212768258, 199.25023601018444, 200.95844615720884, 201.5218708133406, 203.08324977586983, 205.02610909750885, 208.97542582731984, 209.73155114833062, 209.90741770504968, 210.18918252211242, 213.28011942290203, 215.28749973813979, 215.81807680681004, 219.3103962092911, 219.62954919357082, 220.39483535460352, 221.51310607199269, 222.38969209050245, 222.52424036172584, 225.54489965295869, 225.62226834323522, 225.82580744472475, 226.88429524998125, 228.0212383593298, 228.09160407299461, 228.39754210865033, 228.7494888310008, 228.96671860653632, 229.26814762328809, 229.58532913067086, 229.63667302440871, 230.54079718196763, 231.07750193072684, 231.69849608912554, 232.07175773421275, 232.56033323035928, 232.66130589369627, 232.70838009212017, 232.89778396414238, 232.99681019678326, 233.08432717989879, 233.20323855875472, 235.85390312801837, 239.19026754296291, 239.29979683866418, 242.34358714344941, 242.76601692243503, 243.98142999614484, 244.33897064601112, 244.87052687146465, 246.99267441902865, 247.56376665180872, 247.96559658604053, 248.01137319166887, 248.47666693100595, 248.88366416441957, 249.08418269488993, 250.26626047013767, 252.29301293212427, 252.96322066642847, 253.84368952299036, 253.86717724054836, 253.99303219897843, 254.3737784646201, 254.44076690825284, 254.94077615069867, 255.0808078094127, 255.19130681508858, 256.06679990493626, 256.3012136040395, 258.38215899026517, 258.70988501145825, 259.53365170184458, 261.93154776420442, 262.20698572830446, 264.08040634282816, 264.24782390678126, 264.38902056846456, 265.47172390344571, 265.90629446180276, 266.18910187267102, 266.22363409925958, 266.39854934383595, 267.02017914670296, 267.28103132855142, 268.77168585622002, 269.60272242184431, 270.63146228617438, 271.54172055692902, 272.49755168096266, 273.11884883590523, 274.99959334743329, 275.0430058554229, 275.93621614908199, 276.01483704738405, 276.04768516311759, 278.148197935582, 278.87124897056071, 278.97807700630074, 283.17277450330351, 283.99825362019942, 284.50295149977501, 285.23927061150573, 286.27440996897894, 286.43103301768207, 289.10869253729709, 290.65905245165817, 292.21093317259954, 292.46729133710841, 292.55598071214024, 293.45749143266727, 293.69779814629226, 297.48803005904529, 299.48013225815868, 300.02590106417546, 300.06928482050216, 300.53669378892636, 300.72939886799549, 301.86367098207285, 304.38985720016535, 304.71704063527426, 306.28589192356549, 306.9656794460069, 308.24205805003658, 308.71220426751262, 309.62982863008762, 309.910136775838, 310.86639799410091, 311.9211647274654, 313.62950954125625, 314.22074909290239, 314.41722949891079, 315.98190158246462, 316.20019197460522, 316.6413484646244, 318.06680515157854, 318.25825606814749, 318.94052499104015, 320.2132688369706, 322.14081226089058, 325.95083214910585, 326.66171102149019, 328.27560254730474, 328.58985506005786, 329.0575993117626, 330.0428723716642, 334.11026491869848, 334.62091799201454, 337.10616638468684, 338.31315586406754, 339.38305607143161, 341.23640971791258, 341.40982897267918, 341.51209739375912, 342.58746446909907, 345.01311333680496, 346.15397606570303, 346.52365120750392, 347.64887304032078, 348.03678074554665, 348.25047228631098, 349.49619471818289, 351.34707196488858, 351.48852460278249, 353.40776167557118, 353.47728072085863, 354.81435218232019, 356.66485319349101, 359.32778533014675, 359.81530535628622, 360.00299284217425, 360.75933295849353, 361.73245937065212, 365.05878757712549, 366.64206248503348, 369.43742098701972, 369.5862168453574, 369.90731940323047, 370.65526100690505, 370.78297599801681, 371.56326847362459, 372.9071273667123, 373.76525459356333, 375.29158069288525, 376.03028521758858, 376.71276522931851, 377.35084682221031, 377.39717545008631, 379.74344552444626, 380.14358884030474, 380.24170459126753, 380.76073829099886, 380.81093382336127, 382.32210750660926, 383.41398613714057, 385.06482573703698, 385.44841716806889, 386.20351790980146, 387.35523190246511, 388.67949363877199, 389.0824429223569, 389.88879166471099, 390.02323126707176, 390.64996417593602, 391.05696108221082, 391.78431069880202, 393.01474333804794, 393.25651589007589, 394.21828365006127, 394.92243762223762, 396.12204587747277, 397.8288415600361, 398.73801551765342, 398.95739477130002, 401.92630867014759, 406.15281233885037, 407.08577599704131, 407.8321193393769, 408.47112073637913, 409.39166910160009, 409.6484977569562, 410.28454372523771, 412.05018689712267, 412.20440237271185, 412.36861356226132, 414.17491674280393, 414.36434214439373, 416.36179006827928, 418.90998807456003, 419.15100886927308, 421.70118592514501, 421.73315715132685, 422.66570204348528, 422.70831255735834, 424.9229859976852, 425.54889435049307, 425.96311738633432, 426.61297034635231, 430.33554844004931, 431.12081606419997, 433.13422811054556, 434.23477857227698, 434.5704196868802, 438.92110768791702, 441.90182168791063, 441.94619116136482, 442.82935433832785, 443.92874430486734, 444.17199604967931, 444.25051846862948, 444.55019310001347, 445.95240704436259, 447.40107408380095, 447.52752652394503, 448.66388135636487, 449.47478811938771, 449.557252410361, 449.6555072062722, 450.10613863151769, 451.64530623018038, 455.88306559099414, 456.03245804699066, 456.24498129689243, 456.46683128561335, 457.06851273356796, 460.48224344149406, 462.70846792633807, 464.05006717098735, 464.70146947294552, 465.02883314907336, 465.26874699665842, 467.4160110804616, 468.5038503599996, 468.59803731316646, 469.07857576432946, 469.89311507457751, 469.98469564339365, 471.22590516293758, 472.54679761896881, 472.69997325819264, 474.24677503097234, 474.90771263914064, 475.25169487478968, 477.72990972309321, 477.8831381035842, 478.02175115249776, 478.73781647843288, 479.30685806041151, 479.65195508900473, 482.5090224427513, 482.55329334210933, 483.13408770778341, 483.44411141298082, 484.74811070629522, 488.02843797166582, 489.23493547373937, 489.79100233026958, 494.82726140153255, 496.73218202588339, 497.86855763006702, 499.7088802628034, 500.1823003723818, 502.31031816503292, 504.0113744400075, 504.85104443853822, 505.61718713924762, 507.50875703047075, 507.61907425397965, 507.74782716727839, 510.2716503542855, 511.64728594212698, 512.73362343835299, 513.57810617727989, 513.60009714095941, 515.11019724877542, 516.17863312556869, 516.21359472134725, 516.53410015541147, 517.13528404106501, 519.46705084308439, 519.63964802399425, 523.15605249778253, 523.19434983913163, 523.82901402026289, 525.96721105354891, 526.88400017507331, 528.88449175789219, 530.16910788937105, 530.63680404921729, 531.96100792946743, 532.46248839285943, 534.75958391845313, 535.10757978095228, 537.39169799577519, 537.49320102982267, 538.4839273103637, 539.58602244913868, 539.63077183579901, 539.90539965736957, 540.16554544721839, 540.68605122210977, 541.80089183974542, 544.94361375412791, 546.57853814404689, 554.3950552808858, 555.89136848899045, 556.39216786248585, 557.56474450769633, 560.48755096748266, 562.09283818654387, 562.22322442033965, 563.47030148310796, 565.86468358971467, 566.78369176770946, 567.16077713718596, 567.67653418301597, 568.84396149710938, 569.31497753964277, 569.49050816079057, 570.42354172268722, 570.80137574670505, 570.87548662386439, 572.47187453078163, 573.06624835874948, 573.25744852015112, 574.83804667541585, 575.63121528935119, 577.17423414210589, 579.67309498695374, 581.98549227748049, 583.48618616264685, 585.7057468205528, 585.75800944302659, 588.94487480640396, 589.62999066675695, 590.43966326408156, 592.21740989422926, 592.76517895121788, 593.74378766105724, 599.5137306031927, 599.57303576734978, 600.10388215946261, 603.2100451608178, 603.40764840634927, 603.50677497640368, 603.81481918989289, 604.95588363066213, 608.08548466668185, 608.20931793211298, 609.46923958264711, 609.54550148259523, 609.82267993433197, 610.52111360995036, 613.35887510494513, 614.26117973684609, 617.49569913553705, 617.60492538540484, 618.56008537386367, 618.97022432951667, 619.89825693323542, 620.20890250429909, 621.18822191072695, 621.47470324964661, 622.19975993951607, 622.51246060025005, 626.99141019533693, 627.43258208995815, 627.71914715850778, 628.1158545760677, 630.4065424587377, 630.57429744171213, 630.82756953971307, 631.63225197005261, 632.00696079129443, 633.24200600584425, 634.8274952239509, 635.21933745764215, 636.05952476284585, 639.28676436603803, 640.08281616006263, 643.05198713874006, 643.56381441222641, 647.10961185744566, 648.43895206184402, 649.762507812987, 650.01261424502263, 650.27556550782083, 651.29392720419025, 651.62228879816246, 651.64498360248285, 654.40972915677344, 654.46041552420058, 654.80164966758571, 655.65413683043573, 657.00212316819477, 657.61085530825073, 658.24232369203401, 658.90767254268928, 660.34265152924183, 661.31512131926195, 661.69431601158783, 662.61100472745272, 662.91510647086784, 663.45553212601635, 664.30362714053729, 664.55702468880872, 665.93963386331791, 666.19852018167273, 667.62927224773716, 668.12600905947045, 668.14867770974377, 668.5134619970745, 670.39271260849307, 671.80732029122964, 672.57001937750192, 674.62505437765367, 675.07192788435839, 677.32709008406778, 677.51384061572458, 677.95559818804259, 678.40951893258102, 679.02936315414331, 679.88714481697673, 680.05750855723113, 682.79218126236003, 683.73519122754908, 685.97481313834555, 688.28600060820554, 688.6991322167994, 689.01719855088038, 689.37817914986817, 691.00343827429424, 691.38613178083108, 693.6422358701094, 694.56517499685856, 694.58817821616219, 694.68258192831411, 694.74958769753448, 694.97670106942712, 696.57512318878594, 696.6182901863034, 696.98422159258166, 697.23112472620915, 699.73299298168774, 700.49510314617748, 701.2175711348093, 702.15422328168222, 702.58837769205377, 704.73339299975032, 705.81193555182722, 706.75276244900704, 707.2707529220678, 707.72721799801468, 708.29874136302055, 709.02974410922104, 709.06856129851349, 711.48238255214085, 712.4039130699415, 712.73304665227749, 713.65659227155083, 714.26333175936759, 714.72692789687483, 714.96477008386762, 715.19868890966836, 716.78597818110268, 717.44905948070596, 717.6485360830651, 720.43062225268716, 720.93097149680818, 721.47145181613371, 721.59975325172968, 722.00817743418031, 725.69505725007105, 726.40050042554162, 728.61169599155312, 729.03461543011338, 731.08131908519545, 731.76127263036824, 733.56263815493605, 735.38709562707913, 735.50094001186994, 736.34974142083706, 736.85111910992396, 736.95109965407289, 738.390152783031, 739.324923276346, 740.52179906381855, 741.31426422149787, 741.94246331488398, 743.17358692304515, 743.56352927296518, 743.61707515442879, 744.15930772489867, 744.40890569443434, 744.55639452359878, 747.64169392338204, 748.1143717284059, 748.68860694325429, 748.73107035153748, 754.75076905001299, 756.09752823528254, 756.48617518696517, 756.63795212738944, 756.70800091799549, 756.98732242078904, 757.37268518418739, 758.89251234117035, 759.73729440130364, 761.03248267369599, 762.62239894907805, 763.29216831715632, 763.46690714243539, 764.68678339766905, 764.80584221985021, 767.2225501599271, 770.44090469143032, 771.19349724484471, 771.22303691922434, 771.34083158052204, 772.14706158861998, 772.25310575125582, 774.22659036929826, 777.7389039426165, 778.34719106690591, 778.73796912959051, 779.29048598877455, 779.52805756552846, 779.93801653956507, 780.32893686262719, 780.44378338303045, 783.37580918516164, 784.07642556584483, 785.72218293893877, 786.64429458359473, 792.06847352147963, 792.36830296180369, 793.79336587883631, 794.17116280055916, 794.7024582707478, 794.93382073225246, 795.13072024254848, 795.23167442886756, 795.64886225877126, 795.85754580643106, 797.25796555017541, 798.0668578992827, 798.74241872644382, 800.1084782577849, 800.13106795015813, 800.94599879806367, 802.11166336508938, 802.33126097279614, 802.92296076527771, 805.14304867018052, 807.27549164346158, 809.24040047148731, 811.2538517654242, 812.59901150160886, 813.95849961720216, 814.21667634188464, 814.2408979477741, 814.59384936550634, 814.69458208169681, 815.80999643900941, 815.85316715059741, 818.63982970095162, 819.94546763617791, 820.90990474722605, 822.84802217556114, 823.78163495547221, 823.95404524595722, 824.28898059333324, 824.6578519623788, 825.33118396707926, 825.884279784206, 826.4494386991164, 828.08066649367026, 828.24627351677702, 831.87368305771133, 832.54505300118478, 835.12159618115186, 836.57109034413043, 837.32317865779373, 839.00210697289265, 839.38435718724043, 841.34490531876202, 842.75571448982157, 843.73676431327033, 845.34209168385041, 845.5468874407544, 846.16044658597514, 846.20290364901814, 847.18759867852839, 847.43999266381252, 847.71589706921668, 848.12116722426993, 849.41584347435048, 849.55297622293472, 849.6184056970709, 850.37531272719718, 851.26743477573575, 854.00191471438245, 855.8052344700385, 856.0952151131047, 857.38325933203373, 857.49683898627654, 858.04097803556033, 858.38994624927693, 858.47092377145862, 861.32042388169054, 862.09255884586514, 862.91698927654306, 863.73831554964568, 863.80199815990852, 864.96723947892474, 870.83973697781494, 871.57593990156329, 872.30317184964099, 874.18487441093282, 876.707588416269, 877.3981926502438, 877.44408190402771, 879.93751052564869, 881.25451381867867, 882.23150445611714, 882.49384756261566, 882.94498631782903, 883.85231832796831, 884.34654002099956, 884.46812271837302, 884.72230916359172, 885.01532368338246, 886.19307389085043, 886.49660463044461, 887.37684783779548, 887.73431462654071, 887.77131660504017, 887.79310077175671, 889.41305516740056, 892.31566466309073, 893.33374068573346, 895.08103512470416, 896.37151678333419, 897.44046175496055, 898.01862110533909, 901.13586901410349, 905.26310689996126, 907.1676523894381, 907.33826602630143, 908.62274618150821, 909.3001060865306, 910.12792556456452, 912.50641747144903, 913.10154970574877, 914.00755927892419, 915.3165870352708, 916.61543544005792, 917.49119942299637, 918.45224738151614, 921.82295738218477, 924.20406831140201, 924.64637295718012, 926.04061266686836, 926.08852813796159, 926.36659348891806, 927.58549540829529, 929.00267898668926, 929.17061528289685, 929.64197460936805, 930.89469345074076, 931.42149298454399, 932.28130355174835, 933.09067103604184, 933.69213801466583, 935.92272196003739, 936.07477473173628, 938.08905845839627, 938.42203480032993, 938.95612430635731, 939.60945553384852, 939.70504413380559, 940.14860095873235, 940.854353818851, 940.94254461227274, 941.96762780831114, 942.55629453555696, 942.8332753029423, 948.0015248512816, 948.65198345012163, 948.98193947580887, 950.44546698718909, 950.78198994407489, 951.22477185195987, 952.59208911630355, 953.20596062792185, 953.25855638624762, 953.54138934870684, 954.3070163315349, 954.78915784123899, 955.97211423781437, 956.32995183800949, 958.00009742544319, 959.17826979796826, 961.45228848878799, 961.7791540725151, 962.3650600389916, 962.77495685826091, 962.80625482199298, 963.25586426283621, 964.86923360294884, 965.28862565411998, 965.6833278936175, 965.90089981346, 966.23600480297125, 968.30869390624048, 968.89100532332179, 969.36149691395633, 969.92179919916578, 971.47570871390906, 972.71810833704228, 973.03583862453127, 974.29452830424714, 975.42670825417281, 975.9248155759376, 976.40690120336262, 976.53417534333539, 976.76855880650146, 979.23721757406474, 979.34204972467023, 979.46142309005018, 979.79655438224506, 980.63492356209645, 981.9862100335489, 984.29879149900614, 985.82128573300929, 985.99067557546641, 986.58039056688574, 987.36835157571841, 987.62700116016038, 988.51752743980239, 992.02558701290889, 993.87407621107445, 994.55646960622835, 994.85211412747378, 995.86787935830807, 998.14192548958124, 998.46050145646734, 998.77514526931361, 999.77251038281315, 1001.0311658727252]),array([38.729243392356608, 41.005291873512192, 43.891465415387444, 44.358599511201824, 44.709071472877035, 45.219232757804953, 45.314548616000472, 46.371689636849815, 48.606110747165843, 50.741395549389651, 52.330694263903553, 52.89770299374711, 53.229994238680554, 53.461201487887408, 56.033845972543318, 56.68021241751746, 56.820227435249507, 57.370581857250997, 57.765822537392872, 58.205040423039442, 60.002010620717769, 60.669185651176946, 60.988886083493547, 62.054526549645217, 62.383116721894091, 62.633818074965681, 64.611232909095122, 65.191757181035285, 65.880816794472864, 65.936945580787409, 67.428595903793664, 68.194477337830875, 68.60072379139983, 69.756049516273308, 70.122084915694629, 70.58902910460553, 72.069538563734085, 72.18994021458002, 72.674249035869664, 72.728594165581072, 73.184836014873127, 74.235668878911966, 76.342294348608746, 76.590670351398629, 76.712644949471539, 78.26247685220433, 78.30179760586644, 79.23392125950258, 84.129103707818359, 84.347419416759905, 84.499224796795559, 84.967649318731944, 85.649717918906191, 86.730164890615939, 86.813440287894778, 87.774959259944595, 89.485567118963502, 89.545028860086347, 90.106959519322544, 94.245495742499443, 94.345874296769637, 94.988403212431678, 99.122560311021431, 99.149940344425033, 102.20047733056691, 102.36747412378908, 103.86959147486188, 104.86299673285856, 106.90702557096388, 107.33045656196546, 107.48257085344842, 107.81938023180167, 107.87190613465839, 107.91030584096939, 108.76952037938693, 109.4153762671509, 109.97713867730199, 112.27025122045291, 112.86096969706585, 115.54998621508291, 118.6831677167674, 118.90207323034369, 120.96569158201642, 122.19766169968813, 122.97867053095541, 123.07781832406343, 123.69764244660858, 125.83759317602039, 126.34310370464898, 127.24937707585075, 130.09399002419508, 130.15142874265334, 130.76905379236561, 131.78653890263908, 131.88233502112109, 133.07965421682738, 134.22915417952584, 135.36321687523866, 136.19345041408602, 137.21724859842902, 137.7072002850189, 139.55523910941037, 139.76203690095656, 141.10619025552472, 143.37144742944793, 145.89055528090324, 146.05477851166876, 149.90451386284241, 150.86586933060471, 151.62710508109822, 152.71673242847103, 153.43658687039482, 154.37780669066802, 154.41139828160942, 155.72886118311985, 155.76482423677535, 155.95382737025335, 156.10068507928833, 156.83334294443452, 157.43379154735939, 157.54880665266944, 157.95328628300967, 158.47121852291664, 159.0044639525872, 159.61370212305337, 161.1883060822158, 161.61883818477938, 162.84201484948687, 164.73797468227673, 165.39390086540712, 165.47368144148848, 168.88696874961141, 168.92551073684672, 169.851418867897, 170.1012125890982, 171.11458247498993, 171.97685897428596, 172.64527952513458, 173.08598135994546, 173.12624991122206, 173.35031152876113, 173.69148287236234, 173.94795428292633, 175.30882334680925, 175.64096381793794, 176.00425482745572, 177.10407104961797, 179.79865985335562, 180.23554390156121, 180.37197988482228, 180.4089947923367, 180.70364428586311, 180.97142085367844, 181.00772770624945, 183.04415005581464, 184.87103356592053, 185.10374101262502, 186.21171965151109, 186.59663727449441, 187.58255077363935, 187.98744186220284, 189.84735930784919, 190.0412979012913, 190.18742782972387, 190.96277258595137, 191.23431832523551, 192.86994071489244, 193.40491580365824, 193.80728444276903, 195.80885407554177, 196.68566342136643, 197.03735352038134, 197.11386982348807, 197.95750343675797, 198.10337504968226, 198.25717679761343, 199.49530854001202, 200.10158222152512, 200.16853708824837, 200.58697949587656, 202.27109271482166, 203.78555864423052, 203.89185464534475, 204.2706759331318, 204.73034312831646, 205.8246070864443, 206.00976346809392, 206.82538868727877, 206.96596039288772, 207.00158102121983, 208.79309373492561, 209.03182457272038, 210.8572745225392, 210.9068466291684, 213.62731369882781, 213.87646924677321, 213.91614328129543, 214.11013740326857, 214.1589224727613, 215.64749476355371, 220.18666225193743, 220.39849187576104, 221.50440251850199, 223.52506114673679, 224.608417703106, 224.63807720660787, 225.22007424328572, 225.50517260039047, 226.09678433199778, 227.4904344418176, 228.35613623190434, 230.12461936096551, 231.35160484852665, 233.93820463532904, 239.66895485050213, 240.00245919779064, 241.27172642803217, 242.10563780349727, 242.96814684699456, 243.53831502786787, 244.61356269398573, 244.64164862321351, 245.17460817612235, 245.60254513510299, 247.63804948376114, 247.84223294051498, 248.09474097768344, 249.3967162580324, 249.81628763897865, 250.84848162910797, 251.02776454852173, 252.60494528437133, 253.32709706911012, 253.35578006643345, 253.89363354075721, 254.05798564729008, 256.04295009076884, 257.37148478885075, 258.16560720970847, 258.57116787241074, 259.53634510806933, 259.75346905286369, 259.88206814456782, 261.00949997029994, 262.0772673792776, 263.83436462548764, 264.76134916830517, 265.17003499305054, 265.40671281703135, 265.52282218627727, 265.66454081273093, 265.80663146087255, 268.20865441321638, 269.26914676742348, 270.0419142050298, 271.45465708142211, 272.98704027862408, 273.09895864765849, 273.46311442065138, 276.3818457836918, 276.43862655435765, 276.62607886012245, 277.77227199451937, 278.1192215955034, 279.79526575250475, 280.26909773089403, 281.62370406028163, 286.70826190696067, 286.81991544310785, 287.15848688512182, 287.94368243350988, 288.64959301506207, 288.88322459394305, 290.24358489032505, 291.49554187963463, 297.94366755833181, 297.9786333730824, 299.00872987083562, 300.73303333359848, 300.94714234061496, 301.49561377527573, 301.76008917238983, 302.27676447354833, 302.31822478577271, 302.80861958125325, 303.44498758620654, 303.85630315027538, 304.89698892760549, 305.06612687567838, 305.16096961887553, 306.33513623442082, 306.39217405371772, 306.65956783858849, 306.84469635172974, 307.71367633940059, 307.93469720558437, 309.89413318035201, 311.96524423578245, 312.67166468164567, 312.71866434027686, 314.54141367728977, 314.61584389311599, 315.59909180588602, 317.80676062985259, 318.55289505993579, 319.55501087784779, 321.48909082037989, 322.95471944019766, 323.7157998709896, 324.19623849243504, 326.46974467492686, 327.69518400008246, 328.71569068096153, 329.21448386601406, 329.7192867430536, 333.60353830273294, 334.09452010406557, 336.37257703578047, 337.17553690323444, 337.23209509651485, 337.70034209169279, 338.02721695835902, 338.76810747113672, 339.71257331633029, 341.29076423480643, 342.46430463181468, 344.26562360387328, 345.48110143999406, 345.68022448441371, 346.46325364256467, 348.1827290144044, 349.1590968857974, 352.36067058184705, 352.60216319390946, 353.52779402051863, 353.65387045152471, 354.63195105390201, 356.90097034928931, 357.88552907380324, 358.16863729429758, 359.4672862712942, 359.97569868506253, 361.41227943933569, 363.94404864078047, 364.43736841183625, 364.72507136774271, 367.91196588906047, 368.10667021146264, 368.85577175897117, 369.12492646919691, 371.60122138557358, 372.09154481977953, 372.86408077208796, 375.50067333831061, 375.54077172443613, 375.5659590703778, 377.43656255031368, 377.5124028478067, 378.79089867030996, 379.06453090638081, 379.78684975792436, 381.92062863834906, 381.95172738027298, 381.98091251140482, 383.39575179390647, 385.31351848026941, 387.11182697395697, 387.46670454564975, 389.50754678730289, 389.83563703321641, 390.4283461805083, 391.42145147373708, 391.75574828766366, 391.98852143180136, 393.70596258047397, 394.15816684214764, 394.99667005412448, 396.89934915544831, 398.41828040956659, 399.79703442403388, 403.71327877224286, 406.85712939974746, 408.10979384413122, 409.18965139970288, 409.85861031961645, 409.98712121649868, 411.24111037026893, 413.57761736627549, 413.95896440537825, 414.83433978294494, 415.18164921023612, 415.97458475128741, 417.06166031501192, 418.70614529681438, 419.83071690438993, 421.13866864189276, 421.67710161399128, 424.49821867164292, 424.52463434543455, 424.69333831020339, 425.61827045949968, 425.76411268080324, 425.99942775005218, 426.58723540422773, 427.29331993770342, 428.12548694172932, 429.63900536177664, 430.0058498276843, 433.19761294896682, 433.25474901874156, 434.13902321807876, 435.35708782313924, 435.74984440348413, 436.32528049241881, 436.90888739044073, 436.94157551834684, 437.5171894932306, 438.20249493654558, 439.16790802668044, 443.69722553882991, 444.30791537004637, 444.39051546021318, 444.8752242476736, 446.28565201531421, 446.79388145711255, 446.96379342928373, 447.18912595316704, 447.75857615382853, 451.09247140487759, 452.23763506792648, 453.34417417708255, 453.89710186834043, 454.08165342717263, 456.9614700440182, 457.00654554167284, 460.80241795346154, 462.09518437834004, 462.54818045857979, 465.07786839897898, 466.67292573478215, 467.22603116064221, 468.02247175542578, 468.75501549160526, 468.78298344514184, 468.81703605669378, 469.13668228227471, 469.99867948626041, 470.30640663221698, 473.43567369323182, 476.015128629456, 479.14847733891486, 479.42184684083298, 480.73691290045122, 482.49364610815013, 482.8316856066042, 485.09547780617874, 486.08594255145226, 486.67495635357722, 487.21543576681938, 487.85792695249268, 489.73504464974741, 489.79651648798756, 490.33709528810095, 491.65416378083313, 491.79835573873436, 492.18027154004506, 493.15320198152563, 493.37360947611194, 496.03987283446861, 498.58386070256677, 498.84120000566895, 498.93432297873977, 499.34443795505069, 499.46496149490224, 500.15101332774435, 500.94656464586575, 501.59825686844209, 502.80825463242479, 503.74709534423386, 504.56950137502884, 505.73426776601138, 506.80610925910895, 507.9192427143642, 509.23321176126416, 509.80697473333271, 511.05663030447414, 513.94607668589435, 514.00303706420459, 514.76158215913017, 517.90668226796765, 518.08762048841504, 520.43400101733914, 521.22877022639068, 521.39531427721806, 522.00609978833461, 525.19807979287577, 525.37032789769466, 527.3924271045571, 527.63706062673236, 529.3621192717394, 530.09913123499928, 530.96671450733083, 532.61932226139902, 534.48717636478261, 536.3101099362267, 537.50000816587851, 537.55025627179634, 538.84256120580721, 541.71909764609347, 541.81626907274222, 542.83058004821817, 543.4554704534836, 543.76964627470136, 544.83864954746844, 545.41267809014892, 546.38651661464814, 546.98581482676127, 547.48495921840845, 547.73074223153083, 547.81240426179625, 549.27306410384142, 549.84270985189153, 550.75322782805188, 551.01965707713032, 551.55094834804459, 553.23591955988604, 553.75486583320492, 554.6979774773755, 555.66719475667048, 557.55805802892883, 558.69981115857365, 560.99724553217823, 562.1035634962592, 563.91919757682103, 564.26783869639405, 565.70770693738041, 565.95828475686835, 566.19110902121452, 567.66668681173223, 571.31708352993144, 571.92540011797314, 575.13307174920351, 576.74250578018439, 578.0832271693198, 578.30117666268154, 579.21848015129001, 579.45178646302361, 580.01301929682541, 580.13981458487706, 580.64380185320124, 581.01936201528906, 582.1245065200884, 588.50316591992475, 588.73198268623707, 590.9629266671526, 591.18115104437595, 591.28745132922734, 593.16703173009591, 594.38360807287779, 595.23259954636603, 595.68765872025028, 596.78006139683305, 597.44133880481093, 599.04199423583952, 599.22532795250982, 599.82831479048616, 600.3282739842432, 601.15059962469195, 603.71301530827611, 605.14329560116516, 605.21821162497156, 606.16138197857515, 606.57481602201403, 606.93082289764959, 607.13065897146282, 609.01891908832624, 609.48500185683235, 610.69197382212519, 612.1388241759206, 614.16327235787048, 617.2162825956342, 617.25473555955955, 617.56953410280903, 619.45605388127092, 619.79032306762974, 620.78850348834396, 620.98882746052266, 621.26206157651052, 623.38904062881113, 624.44958586022199, 624.98445747555422, 628.0947871144067, 629.36769080010356, 629.43144419622979, 632.05791010434621, 633.37455049358778, 636.21836138576964, 636.99465277321565, 637.83275028331991, 638.20683842059805, 638.35001306356594, 639.19544571941026, 639.45791145931491, 640.76711152605674, 641.05144672761639, 641.3292213068695, 642.24515049250908, 644.38425487548022, 648.35958297039645, 648.69294871478235, 651.02231238965771, 654.06267362751544, 655.99998696706416, 656.80609258623406, 656.84021405158967, 657.73019493974664, 657.91326819960341, 659.1174375417304, 664.80516580332153, 665.36442668962115, 665.85993100708663, 666.99745671810001, 668.96725577844768, 669.62310882179463, 671.10280398847476, 672.10135794723431, 673.99880700059668, 675.01148867391089, 676.48402964805462, 677.09006826222378, 678.00134243611262, 678.32197705634235, 678.73889118620821, 679.33591039210489, 680.00703789821273, 682.4699205286297, 683.63529337213572, 684.53357901206743, 684.837760125523, 685.20031788460312, 685.35124131817815, 686.98828802578203, 687.54473368605193, 687.74728813388026, 688.07079093981883, 689.28461544826314, 689.58961189942488, 689.82422885695894, 690.45882632847201, 691.01806942176552, 692.83243922701377, 693.80957626555903, 694.9011264018734, 696.9174294063755, 697.32092767779977, 698.39798144698329, 698.52319129930277, 698.57833597358524, 699.4218514891943, 700.0780867997729, 704.13126799117151, 705.62575473678737, 707.88217079366666, 708.0045846031793, 710.91459311286008, 710.98552666694991, 711.46085820321036, 712.09802285818955, 714.23116155582022, 714.99855285804244, 717.31184567544506, 718.87403783896934, 718.95127991731238, 719.35633607539, 719.58698429761353, 719.86498774040399, 720.62445447891719, 721.06308320190976, 721.10654680636378, 721.17265548432192, 721.927180332636, 722.08629764478167, 725.05669646093475, 725.16691389507037, 725.8548414586885, 726.31107565609773, 728.18326468729083, 728.49817254574987, 728.61644163939263, 728.88841606851133, 729.86029103704209, 734.59688285901336, 734.84529600532017, 737.15761791285399, 737.8193167012065, 739.91630312174777, 740.7232093674852, 741.15591141672985, 742.85601718981684, 743.02022922157153, 743.65170625941721, 744.09425189151011, 744.80371123711484, 749.13438478135413, 750.23087442964095, 750.99731127970483, 752.2220948651875, 753.65999954898757, 754.33730268717693, 754.48139387380729, 756.3073907705035, 756.5445193549707, 758.17433659973506, 758.63899139742489, 759.27115718870584, 759.55497578631503, 761.12432189569563, 763.92539763508114, 764.00833719495074, 764.91946313699361, 765.4150103640502, 766.28303340981904, 767.2603995365406, 767.57455033812505, 768.39135609686844, 768.9934837661433, 769.28541732426481, 770.48039653101523, 770.55055902719675, 771.08892064410554, 771.2709289830284, 771.59337837718522, 773.53869255652489, 773.7877362676561, 775.87740973464486, 778.21511010271081, 778.58501109237181, 779.09400044430549, 779.4998240607016, 779.75448147264251, 780.55470477478741, 782.30422174827663, 784.32016737056722, 784.59287525311413, 784.68621465736646, 786.29318996911684, 787.51254739316607, 789.10241696975811, 790.46048275368196, 790.57817406333209, 790.82562074052851, 792.61949347832251, 793.40598753916538, 794.1217581527203, 794.74543200556377, 795.23473060536139, 795.95586581296595, 798.0770088497369, 798.95008754552748, 799.58370644417073, 802.27556330190771, 802.99367853811827, 806.98012814314995, 807.04771721145971, 807.33328135183149, 808.99799865919249, 809.33725480036105, 815.34510682247083, 815.52539794883933, 816.39000021250058, 820.04111802949876, 820.69916527004682, 820.77534868420503, 821.57261854546311, 822.08641742862176, 824.15910499218444, 824.18195776327889, 826.71555748782691, 826.92980404080322, 830.28835488046036, 832.27368873474563, 832.65473546468854, 832.91302155066421, 833.53645745017127, 834.82953665592947, 835.68058857642006, 836.35898785304767, 836.44060475148285, 836.95744846129651, 838.45560699839757, 839.71983179810491, 839.8921708477601, 839.94445538355069, 840.45422926275853, 844.62232271912228, 845.76731437769388, 847.25121263530582, 847.32328509722447, 847.70430255567317, 848.58598327327911, 850.24065306579882, 851.43671404555425, 851.91444886494639, 853.80896640719163, 854.54978568130036, 855.30911527893795, 857.71996168611133, 857.76248658157067, 859.69246684614575, 859.86414943283683, 861.17043579361712, 862.59270345277605, 864.20572849290954, 864.31270424244917, 864.38617601320675, 864.64572231684701, 865.04850854645781, 866.18511246840922, 867.15634971959378, 867.70106032684885, 868.38059724408504, 873.56809571451276, 874.00263165072329, 874.19324273881045, 874.50259965134546, 874.65406081378296, 874.96704176654737, 875.11172807780758, 875.90436359130388, 876.5174467473596, 876.80986286067798, 879.68693772965776, 880.01798122489822, 880.48283766475345, 881.02928180784886, 881.86214286572135, 886.95796213437166, 889.30500682838215, 891.22586942911175, 891.36495476433026, 894.35821891819899, 895.81302269555977, 896.10825280822451, 896.25853742275876, 897.51124776237782, 897.99453971482205, 899.30269506728644, 899.56440449089973, 899.60457876103351, 899.71036676287827, 901.53491385503582, 902.66882255374162, 902.83574230383658, 902.96741349925423, 905.43928902893367, 906.76150472042377, 906.94422084395308, 907.90537565502063, 908.44411534385995, 908.6484405658249, 909.76391353064196, 911.43803543212039, 911.45892339529939, 912.44426773124178, 914.20502039470193, 914.58574032929198, 916.12372417139261, 917.24230646989179, 918.30129080683207, 918.82329176290307, 920.41466376875223, 920.88284663898992, 921.31494947719989, 921.60288358137791, 923.00577888888745, 923.10238605544396, 923.58466224076676, 926.54567887669873, 927.47169137919627, 929.65480129615901, 930.13516153171281, 930.32387410041167, 931.66104383834625, 932.13097040745424, 932.2777316497486, 932.59324747870892, 934.79422138515247, 935.91377471917997, 936.1964677556042, 936.34202994793304, 936.84953278328214, 937.51918545934632, 938.32875075240906, 939.11349315148357, 939.21773685761866, 939.9040543590379, 941.5017629704264, 941.60435069270568, 942.87453380552563, 943.87538248521776, 944.15865209869401, 948.14281281211174, 948.78385319860001, 950.80248279922444, 951.9848679629489, 952.29065756289185, 952.53215529666795, 953.05522779082605, 953.88974024679806, 954.19097327794827, 955.1097175755574, 955.90909338439417, 957.57194526582816, 958.92105328890545, 959.15637860241554, 959.17796990733655, 959.67023783232798, 960.97446914483794, 961.43326345573166, 962.2770092922475, 963.07337155206528, 963.74271899268865, 964.524916983401, 966.14853706956296, 967.72182498593531, 969.3002254539465, 969.66541651123441, 970.51755577386893, 972.62651403543646, 973.21165660155566, 974.45126911379521, 975.16320471619861, 975.79558299375765, 977.19057167463075, 978.49429877515149, 979.41734921822888, 980.17697468836798, 980.56746092937885, 981.80266517264909, 982.65411433870145, 982.83252953355452, 983.15367028940125, 983.78847479203546, 983.88450199670899, 986.02486230480122, 986.25123005851981, 989.23039416889196, 991.3989318815585, 992.81521950949286, 993.97176779034714, 994.54164303384277, 994.82809576178886, 995.52524839807677, 995.60442303932484, 996.14862801579125, 996.98485746400479, 999.17116133331876, 999.34231744497083, 999.70581833124777, 1002.4953631867833]),array([16.018131736330112, 16.202102523650623, 17.345792870085276, 18.216381067091248, 18.292721053713773, 18.964781406542425, 19.232001580100377, 19.571879366036868, 20.828110589846812, 20.881861888546304, 23.850631925131317, 28.502679664840826, 29.438941266055458, 30.010675201700256, 30.345290755077333, 31.661412837863509, 32.030048636204164, 32.62491739474418, 32.754705111175284, 33.238463009858982, 33.386327925296236, 33.625704475369723, 34.499143418120205, 35.198178903916791, 35.568293306578312, 42.02347585155902, 43.182113845013255, 44.168560570594046, 48.449748136803564, 49.191715320296282, 52.408558420781553, 53.103851112740287, 54.889631792171294, 56.490536647147394, 57.713593717409303, 57.779082253456174, 59.354578028940097, 59.457363215407639, 60.07152868292436, 60.410764884049932, 60.961001027081643, 61.523016611092842, 61.824950627918994, 63.334257496170856, 63.428721210964696, 64.197172027265694, 64.287791104604906, 64.628852818144921, 65.040213154764473, 66.022871483231398, 66.445878373763009, 67.044352939839101, 67.984939352225496, 68.832544206486631, 69.181885246387282, 69.522415294045231, 69.802630918303052, 72.080544765959559, 72.953538091194645, 73.321348110594272, 73.50917742114143, 73.688422845597401, 75.580050671067852, 75.643474253481386, 76.010677098271685, 76.533933059209645, 76.582429768860621, 77.225810476477704, 78.409839374747463, 78.97661696934567, 79.447868443426145, 80.934828965161785, 84.192249064735634, 84.443773848943849, 85.008778454373143, 86.424582454113519, 89.15400000178407, 91.842176336462046, 93.412911471265076, 93.84865635300558, 93.934971983475108, 98.208766023603317, 99.171549128235711, 99.88141529001031, 102.92291813131959, 103.23042173108863, 103.50931431587414, 103.63445895318229, 104.66122562291116, 105.11993499644355, 105.58126178153589, 107.04387423795242, 109.30358931229617, 109.56968294733024, 113.44293613054549, 115.00658578862115, 116.16232462865237, 121.77213388040279, 121.87094362250174, 122.15160223564936, 124.55381687559702, 124.72885814826058, 127.70996041270256, 127.87046453261331, 129.88426508105456, 130.20398094669383, 130.81147013255932, 131.07777359711358, 131.31546238911042, 132.38423312298164, 133.26607620144654, 134.36266608625508, 135.77689723878018, 136.38138266266162, 137.02370510030147, 137.07062104472115, 137.70285295112009, 138.40513299352412, 139.08268301065976, 140.24305504669186, 140.7165347747941, 140.95625095189197, 141.48653887473768, 141.5659808490127, 141.74662282617817, 142.74741408197693, 142.81943039003704, 146.13515292040347, 150.99735131010229, 152.29207364886156, 152.75811085502863, 159.88099915121444, 160.01413933526612, 161.00514821581433, 162.28079285809278, 162.48983648855392, 162.68100608005574, 164.70210228583301, 165.2689813022738, 165.46699780126661, 167.31716189234686, 168.00105944524077, 168.87735406629574, 170.77132412833461, 171.57321848750396, 172.81904473971886, 172.92098119942676, 173.00019953294517, 173.25759113253466, 175.21629726905167, 175.47596839709038, 176.06181586978909, 177.01653488390301, 177.53842099720694, 178.34776478349784, 178.82750858272547, 181.58280366730406, 182.00789546372036, 182.20010270214397, 184.70945219904311, 185.03877121546358, 185.08825575846021, 185.11090774466149, 185.59312069090211, 187.54593579691749, 187.80395371263555, 187.87683591899506, 188.3209090209433, 189.36502772149038, 189.70206739162739, 190.07373586656371, 191.86475014657438, 191.98370821873493, 192.41645031594931, 192.97764430036759, 195.64636777234537, 196.94955970616064, 197.7442310509569, 198.3082116615879, 200.63150983513049, 200.86997258132638, 204.16439078776114, 205.79996468033221, 206.79663694435291, 207.34291859572642, 208.35285395815151, 208.48771051893019, 209.6634224285034, 210.69268168810757, 212.13534325829306, 212.90700087903619, 212.96610358013027, 214.35938130173676, 217.28679288072152, 217.36440684456434, 220.92907296072593, 224.80345486071678, 226.23551693445634, 226.34083267500512, 227.12868915944196, 227.89404445137708, 230.59349391090851, 231.49682899106372, 231.66933791847856, 232.18277430003246, 232.9041829630342, 233.48798930413969, 236.97943860302641, 238.64281813639948, 239.90778697912577, 240.36426428890181, 240.55199605584306, 240.9564388751086, 241.05360167020976, 241.46343137590617, 241.76585914484221, 242.21933036467286, 243.30988449242321, 243.38883375239706, 243.49840223876222, 243.55573409510174, 243.58697051949599, 243.72321614352759, 244.24674609246964, 244.33686481465716, 244.88084951225764, 245.21155203275978, 245.59188525571912, 246.15831161931195, 253.93489817013352, 255.79122305187624, 255.95051025504961, 255.9805009734809, 258.9483970343577, 259.13379154056543, 260.00456140798866, 260.36877997127004, 260.7565266650505, 260.7771466516607, 261.11002581574292, 264.25628544689999, 264.60410013372069, 264.80966973060367, 265.31559519378436, 265.37490554927086, 266.41224123893886, 267.6079165794232, 268.042460559272, 269.38105584844368, 271.33131369883733, 273.07022542148047, 273.51351817395175, 276.30363776435001, 278.90364685359685, 279.46890186386526, 279.71376559655613, 279.73545949894003, 280.78559432128702, 282.42212468270708, 284.33919366023042, 284.44328429039774, 287.399644564021, 287.59339649215161, 288.13495432520551, 288.53979915740882, 288.60706874958748, 289.31611874238854, 290.76598964015341, 291.08673789549687, 293.39916558793578, 294.87117026163031, 297.69305776882032, 302.54050909744154, 305.11381186291726, 305.42896760076337, 306.56916311284124, 306.78985562395974, 307.33071343782592, 307.64017120711691, 307.96152263278327, 308.07135820595965, 308.45353892150598, 310.82504166890214, 311.72907087411807, 313.41023559998342, 315.11847334378598, 315.16760885250301, 317.37648488590906, 319.0242880280004, 319.12192241187813, 319.57574603336514, 319.90987486984221, 321.85144333428508, 323.93201339669957, 324.25830724907627, 325.07970894076703, 325.78190445190234, 327.92788252947412, 329.17421163501041, 329.29882115885391, 330.7791340335292, 331.42231240539269, 332.59360379099735, 333.17389085224823, 333.9560036292113, 335.08239758355842, 336.75305728802789, 337.12887999117066, 337.56854848362497, 337.95950112674268, 338.47276446002337, 338.70787959901583, 343.14074346086397, 343.42560266356901, 344.01689146163903, 344.71071194262839, 345.08242273909053, 345.41787537941889, 346.90622278110715, 347.39232293783323, 348.26747729963597, 349.5208084742174, 350.48981288715902, 351.05295112412585, 353.86386623551624, 355.39864526712199, 355.97400422462238, 356.66416473517148, 356.87372277578805, 358.35645573118603, 362.85638011894423, 363.11661587953307, 364.77206277252128, 365.36755905162494, 366.00349914689235, 367.13072120079966, 367.37049194502117, 368.06251431354548, 368.1066848792903, 370.26158906112988, 371.67598494914205, 372.07667442902516, 372.40457363546909, 374.47428517069329, 375.98381884768872, 376.43088329162583, 377.40604410821254, 378.15018423417354, 378.70171616485499, 380.24689970216076, 381.29900258178611, 383.10861136585521, 383.15276610436695, 384.68969088887752, 386.0963644951317, 386.54390775383047, 387.834168921279, 388.24868974999197, 389.0245469293576, 390.23855319230069, 391.06840977217934, 392.33892196138947, 395.36483829478721, 396.86230959459374, 397.13448076697824, 397.83403992292932, 398.28536181871783, 398.31340397467255, 399.09206549121285, 399.29421641995691, 400.55207754577225, 400.90760639969392, 401.75504227843334, 402.38991729314222, 404.17159281570429, 404.81349860321524, 405.7265717511857, 407.15963885778939, 407.36292178059216, 407.99863048629095, 408.27781339690893, 409.49301893932159, 410.11191206452867, 411.6569571784072, 411.99026530662059, 412.87492442046829, 414.34711187156859, 415.1342592504526, 417.19034313097131, 421.56153543883698, 422.40941857880665, 423.80023121085918, 425.79688295394266, 429.19446914944984, 429.76313507469695, 430.06700336498375, 432.24951059371801, 433.22805947238203, 433.63318517842924, 434.02045128390887, 434.70858326045646, 436.41074405575324, 436.79913424580417, 437.05348333788271, 438.68178347554988, 438.9666991009268, 439.97957434549545, 443.44907997509847, 444.2844751166885, 444.57036664092482, 446.88506874975872, 448.28707350706406, 450.56331417232326, 450.74824507887092, 451.35645803362911, 451.47314419062343, 453.23854871470326, 454.95885463463247, 458.06542641457452, 459.71384186365293, 459.81831957142089, 461.56136129443081, 463.07580560106226, 463.61312813798196, 463.72555971986446, 463.88798525061014, 464.17905080935174, 464.2812230058164, 464.49205134331044, 464.79714874819717, 465.35682984388347, 465.91428004851349, 466.52043772560842, 466.59737451355261, 468.09697073245127, 469.56822027158654, 474.8591050536379, 476.35353458061547, 476.78846695181784, 476.81435724541473, 477.50460106413681, 480.00137785893065, 480.31067070516326, 481.65057973909143, 482.62727957661576, 483.32117493899494, 485.31085771056325, 486.5899793098435, 487.50970723955334, 489.43579453563717, 489.57976001831531, 491.49431175296354, 491.68625679095919, 492.24055008953707, 493.89757208234147, 494.02747143233216, 494.77199107647681, 495.86565610773278, 496.60470678055469, 496.7755817683755, 499.03417031700491, 500.19128679835552, 500.43857113852334, 501.68082917875688, 502.13514950736425, 502.71118878654096, 502.98264552564456, 503.74365896295552, 504.20181308131367, 504.67392001095544, 505.07433122356053, 506.287976788197, 506.41090787601053, 507.9518083907646, 508.36246978333651, 508.87292378666336, 509.20515010420206, 510.10529944715478, 513.21803492705737, 513.7928395028863, 515.3116725053834, 515.53416800716502, 517.78671456148913, 519.40971880670975, 521.15612934707769, 521.40552905773654, 522.3574715234904, 522.89061099837681, 523.17590923873649, 523.75130073497894, 524.48183228082473, 524.98305901311755, 526.29256126968482, 526.39402458133111, 526.51009609434436, 527.17632120705855, 528.19831410047618, 528.88295934793518, 530.1618344771133, 530.7703129136753, 531.34258698943131, 531.65496694166268, 531.82289873934087, 532.26556670312641, 532.47052149193985, 532.92115282518091, 533.15649896126365, 533.71855339886827, 534.09494565079444, 535.46732810796868, 536.63173711651211, 537.31087158101195, 538.67979127665456, 539.87268231686801, 541.35919507898018, 542.39641371122093, 544.19912063189656, 544.43703462661972, 544.66262699106187, 547.08930748978469, 547.16070158749972, 548.5656248575018, 548.70196183893268, 549.72682353304731, 550.57591769810494, 550.80129266602557, 552.60571178498549, 552.84963733769223, 553.00001575644069, 553.74063686522413, 555.62039888496747, 558.18569780004066, 559.15622486011512, 559.39287555813962, 560.23505315508544, 560.2784277786194, 560.49927247170785, 560.54428917086511, 561.67256225969004, 561.76630451824713, 561.9743340822298, 562.00492635857756, 562.61180475496349, 566.06367077330651, 566.4754905552337, 567.44147166287291, 567.60225489819459, 567.72988413628195, 568.84112937680129, 568.94881529143106, 569.36746492895111, 570.57316719739492, 570.72795564977491, 574.9198993671547, 576.84525455064113, 576.89599311990628, 580.00858282477486, 580.3879450693355, 581.24967443276512, 581.39925348641952, 583.70361178812652, 584.45678200061673, 585.41898833682035, 585.95038223876963, 586.29654192727207, 589.26221704971556, 589.63290128244819, 590.00901793667083, 591.32402338757799, 594.2917379756525, 595.10271004085212, 595.79051199344815, 597.59077237605266, 600.85251115288168, 601.75687625630439, 602.3009162095268, 602.74033563400292, 602.8370441057757, 603.6368864141474, 604.39663726946253, 608.55469627969171, 609.37139709326891, 609.42121188498561, 610.46243245984965, 611.61710219252723, 614.4343857422823, 614.50002068071205, 615.08109586627393, 615.65352473113524, 616.08735425903058, 617.80035464815091, 618.23721429310115, 621.22760434305155, 621.63792077869971, 622.12283002042682, 623.90365220223748, 624.95120374844146, 625.83458958182553, 626.26209731434813, 628.53920418003759, 629.60181184315377, 630.04681780431929, 630.15445587320846, 630.48382238760405, 630.59954427815205, 630.8710915775697, 632.15295537150416, 633.50456443593862, 633.74736497037316, 634.79420914947264, 636.85695377659351, 639.73232871728248, 640.6032497442925, 640.73059205729237, 642.11279749280641, 643.06394605660341, 643.45648767264902, 644.47991162290953, 645.28412981671386, 646.46483975759725, 646.51024346256918, 646.78342094268544, 648.47927651870236, 650.15349902059438, 652.87985095184035, 652.99086869551036, 653.10787887262461, 653.4809210933746, 653.87967362877259, 658.43011076278117, 658.78253832070698, 658.95126422289002, 660.63644863967841, 660.83568087810647, 660.88713359191263, 661.1554709982355, 662.17279442380311, 663.21064665959852, 668.0933419641151, 668.91834734416113, 668.99588549641544, 669.27896778044271, 671.80259411631243, 673.62485503688617, 674.4394463726062, 675.35971219460134, 676.28882671724966, 676.64433422536183, 677.60093061038367, 678.79660113008606, 679.49367404024656, 682.13048887316791, 682.4174560684537, 682.93518507179112, 683.63653800749091, 683.75607952806229, 684.92656009718291, 685.33785628254384, 686.18467930043391, 686.85691630432791, 687.9311060419883, 689.28399791105926, 691.77519041556661, 692.74057597042497, 694.65482099657879, 694.77622138771721, 695.77007280190037, 696.86401440029522, 696.89131142429505, 698.93659879314248, 700.39173411811601, 700.56002324765325, 706.46682548653109, 708.63055454480229, 711.1812364114927, 711.43447834811514, 711.50000360816705, 712.56870114021501, 714.01622891310944, 716.82498305686318, 718.13938917855228, 718.31712023350474, 718.88685697602943, 720.34451442679347, 720.60829337210419, 720.70519346959281, 721.54115946302431, 721.66309108276334, 723.06296492555555, 723.5883830261248, 723.87201244830089, 724.2436605022674, 724.41944873072748, 725.19684064836463, 726.83087595440963, 727.96184311447928, 729.09948880566355, 729.63439315550602, 730.68679165860829, 732.90741673368598, 734.51373441523799, 737.59979117285764, 737.71698397628779, 737.84037367766143, 738.51088797930959, 739.27655637828775, 741.52341308820701, 746.9000060123293, 752.00939795784234, 753.10352778816093, 753.71010044448133, 754.06158515810034, 755.22183632644726, 755.94706423597484, 756.3321123734537, 757.86696231875726, 758.88830909687272, 759.83541393294161, 763.58077574620825, 764.5422506991855, 765.61243634173672, 766.64911173215478, 766.85027171689376, 767.06652489486214, 767.5893082425722, 767.97307379082304, 768.245060640318, 770.65156767124063, 771.06440741486699, 771.11998390154736, 771.26802031085322, 772.9706952357111, 773.79454849682236, 777.0598009212581, 778.25168851041883, 779.05112538727246, 781.32494087190139, 781.35559628607655, 781.55556690459127, 784.80483038692842, 785.43117415497841, 786.92620155505745, 788.49032989151885, 789.59652598012974, 790.16342052377115, 790.28389927134572, 790.42464351217723, 791.77408634357994, 795.70362457823171, 796.17770948825614, 797.25363882691727, 798.52978890481461, 799.50882502154104, 799.61717768260451, 800.07906222633142, 801.06884240923671, 802.50521235754809, 802.54181300528376, 803.25917984713988, 804.87169941060949, 805.0281365684092, 805.11900993241557, 805.42787414903421, 806.56070982099777, 807.70854701582618, 808.02753492636873, 809.29354914117948, 809.40710770296164, 810.80187635282368, 811.10436242979415, 811.1259193400947, 811.33262316550622, 811.4875974855446, 811.97244374360719, 812.05556533916933, 812.59111392024624, 813.20780296690566, 816.01584229583739, 817.03243054674442, 817.55713919748416, 818.5691532197834, 818.59593458996437, 819.16999769530173, 820.19666316424968, 820.9599797601569, 821.01687313392188, 822.17434513062619, 824.87635083959628, 825.37046270136898, 825.43697605533453, 825.73611368996944, 829.14481918373258, 830.21351741520209, 832.63538588359484, 835.25421772161314, 835.88924249333161, 836.60339221140282, 837.53675227572774, 838.26086580808226, 839.1627969997453, 842.03906667425724, 842.89665816692423, 843.05598133055037, 844.45862929153202, 846.04998977272191, 847.01690465796059, 847.05135914051402, 847.22341263427666, 847.26117891746549, 848.35971109827369, 849.80580384949815, 851.04888521991177, 851.15118548244573, 854.69670409441994, 855.25099764799074, 855.99851288447155, 857.1835329411881, 858.12128392879481, 860.19491229397966, 863.54735653991668, 866.21941478702979, 866.94938123315183, 867.25654538189735, 868.19280380487987, 868.26549435989557, 868.33266255939577, 869.78057747337141, 870.61451487714885, 871.26897188218823, 871.76680703649834, 874.94641636699896, 875.62664373330381, 875.83597102001181, 876.08521418059672, 878.05793145348412, 878.15911757518279, 878.67810482293623, 883.88924486082863, 884.14998578174607, 884.7685019572591, 884.81435316813236, 885.35483808340075, 886.54986630611756, 887.76520327239348, 888.64384005605632, 888.99121331639719, 889.03400806257855, 891.25650611874107, 891.92021624638164, 892.74164085998075, 895.87786819496955, 896.73791106857379, 897.26261544305214, 897.41220020526998, 899.1599268823287, 900.69733811744652, 902.04866670471972, 904.90170588501371, 904.98841458604932, 906.24610511225467, 908.9691547604674, 911.96989600726135, 912.90387039832751, 913.5068351981347, 914.14638095826058, 914.89585304607556, 915.2365556870169, 916.39741801066225, 919.19618734094252, 921.12645415931627, 921.71143932875782, 922.27849184228614, 922.52350290306856, 928.06829411710623, 928.4528279822506, 928.53087659706205, 928.90671762875786, 929.16379701410176, 929.8866050799536, 931.76834151943831, 932.58330349702737, 933.36326573682277, 934.08643249436511, 934.4039978308258, 935.13643074407571, 935.32987254695558, 935.42985056725013, 935.56753917857691, 935.66566586015472, 936.61658564399124, 937.40830921969427, 937.90083882659485, 938.70312971530143, 938.96072396727925, 938.98183101865118, 940.55848298364231, 941.98067674442018, 942.71414043697325, 943.98146153746325, 945.93046023687759, 947.04335365102179, 949.25320761809871, 953.68995724924889, 960.72996486669967, 960.86107170643959, 961.79647331271281, 962.01800326435023, 964.22307628011822, 966.92081392074329, 967.64499783928466, 968.624781008475, 969.21285653118616, 969.87180122355551, 970.80160098505303, 971.16647254061468, 973.43019250430075, 974.60076836877931, 974.90563028620534, 975.53714906249388, 975.92529633049287, 976.99139140517798, 977.4223237807164, 977.48514093656433, 977.63144256040289, 977.79664545607466, 977.84097838811215, 977.99165790779011, 979.07508061135582, 979.54780766339104, 981.48482819507535, 982.01004915210467, 982.42931559008468, 982.99841216906361, 983.3033078496544, 983.73264634994007, 986.57342851308897, 987.15612498090991, 987.2637769344301, 988.1299463256338, 988.54712607142119, 989.13070569932233, 989.77623483959769, 991.8373296657021, 993.02236641695117, 994.46743840070485, 995.0715967316238, 995.66259159940876, 996.48249194777031, 996.8280323363042, 996.98062664767338, 997.66791921754611, 999.53580991470903, 1000.2921416977573]),array([23.527774922286138, 24.947742136860199, 24.992897441349704, 25.816360168066659, 27.238922705682668, 28.180267180298085, 28.463305783259813, 28.698988031864182, 29.56872326694938, 31.560950172921707, 32.798412924957844, 32.822989112714318, 35.10329828331907, 35.165986650576059, 36.050508603043447, 37.000822265139938, 40.433920659686819, 41.622297743826103, 43.057524242577671, 43.180655098673981, 44.289763402855016, 45.672686787959613, 46.238767786088196, 47.927930048645052, 48.425920818410056, 48.539021435573851, 51.808360540943497, 52.45331554480267, 54.110838948585325, 54.451007565438253, 54.645046762995349, 55.671695757205136, 57.464954855650845, 58.236172992587449, 59.744827981392099, 59.984664414620141, 60.261004373305312, 60.531085881075626, 60.806120844477697, 61.298729661229707, 61.697419794913138, 62.133068927169838, 63.925147561446479, 64.129033830651267, 64.957690422732782, 66.902073671992881, 68.477115176316659, 68.886786978184702, 72.984918131494126, 74.698370694637447, 75.172733427178628, 75.326141439489845, 78.429560530893525, 79.767737905992746, 80.982011901079332, 81.122347239275925, 81.291412782193362, 84.390391299339754, 85.359328858873624, 88.849484466540929, 89.327462830427422, 89.523335925728276, 91.375247678920971, 91.95873669613286, 93.288920322063234, 94.971772702115544, 95.153368163578662, 95.989053126366016, 96.876231867675358, 97.379570417426919, 98.289949866644832, 98.740790168809127, 100.10680096545646, 101.24274055677408, 101.89666290275777, 103.13486054352357, 103.56786456789655, 103.74346613930477, 104.13286527274498, 104.51142629057271, 104.55365164791736, 105.75325115251847, 109.09277600651605, 112.40388505706211, 113.32646370325317, 114.6758653651565, 115.61637718268278, 115.89634134706982, 117.52536097576474, 117.89318048259906, 120.67244001392426, 120.80852894179787, 121.82804223968111, 123.70468487147333, 125.82284879909712, 126.18999805809987, 127.09001901442872, 128.44749061413563, 133.07736295023008, 133.28959524142567, 135.29367582942822, 136.22807661651916, 137.03150592745851, 137.44110805578723, 139.16120932789045, 141.46654033354932, 141.62852348879019, 141.89566833153319, 142.07731019229155, 142.54809624561992, 143.36710166768492, 145.2886716045756, 146.54023998968538, 147.90012045130243, 148.82563341949813, 150.65976592569407, 152.71998409978855, 152.91276041790579, 153.28895919489594, 155.78143674849903, 156.73930183510549, 156.92604037666817, 157.3372353367877, 159.5547781633083, 160.37345618322871, 161.98386866787473, 162.07420614512964, 162.78195303011253, 163.4352820730399, 164.03420963405003, 165.54466599566882, 165.78904389158345, 167.4095769938441, 169.0701137803801, 169.75828909325335, 170.10819344360684, 171.04386128464429, 171.66500118341983, 172.91732042104124, 177.52198690573411, 178.42424000534095, 179.51087546368956, 179.77793808203842, 182.13081999784933, 182.9373242656705, 183.11476975631723, 183.30187851535823, 185.13048691577478, 187.64877229828755, 188.56930751395981, 189.06209760881234, 190.3587367787091, 192.17392618745515, 195.42718834941121, 196.14461527783143, 196.44352898104, 197.27792076596606, 198.60235579237855, 199.76653608603186, 200.49255654454996, 202.08524262610743, 203.44653664303783, 205.25131764192142, 206.86313014328582, 209.3483071842783, 209.66558412653092, 210.03608653076091, 212.23082645315142, 214.26520685122017, 214.69992202123282, 215.6457093500739, 216.07370671445918, 217.82847768008321, 218.3129471514614, 219.25288145601928, 220.85278466762327, 221.69078606087766, 222.5888266946726, 223.14341538346613, 223.7097983086839, 224.33491569252107, 225.07595045801176, 225.42801124774292, 226.1076452806532, 226.44616892791123, 226.82069334760655, 227.09855821517019, 229.24552081104787, 230.11890055099568, 230.30896097970574, 232.4459129952352, 233.13971698535801, 234.95419497910743, 234.97725343872037, 235.19744302676196, 235.22220286946151, 235.67576296582769, 236.66925140457136, 238.46536053888786, 239.23191505259982, 243.20311938110353, 243.41644968203443, 244.67522004730736, 246.8230415763781, 247.33078452935584, 250.17399248743828, 252.41182020908187, 253.85458063419784, 254.087838679448, 254.19166895093946, 255.35963289100749, 256.7544091501195, 256.84834210171795, 257.16400230774877, 258.36319099481557, 258.4283769209037, 258.58175172675129, 260.2937434084547, 261.15348569147238, 261.44832696119727, 262.00640353687362, 262.24217711853242, 263.74420677684907, 264.51036273865355, 264.63914773988046, 265.8280057422561, 267.32650307089807, 267.35696819614685, 268.844548613163, 269.42641959307338, 270.91524877425945, 270.9604352020396, 272.25017169953981, 274.57370710782516, 276.21193248280844, 276.5964898450826, 276.91308417161127, 277.60511738771044, 280.32381309208074, 280.69657103686495, 287.19740737597891, 287.51310668337209, 290.43686531727508, 290.47079703856872, 290.86933416452479, 290.9651413198344, 291.42693704365939, 291.68664948205355, 292.7889912499171, 292.88895561579704, 293.33425680351246, 294.29511824081868, 294.41411254074558, 294.88879755062709, 297.57401029898574, 298.72861664683137, 300.36011160688605, 300.77358698262964, 302.45688137882576, 303.69737934334267, 305.77410871035983, 307.40602567374276, 308.31756369211098, 309.17609749624899, 309.65525886609856, 310.44754372401741, 311.69759884931472, 311.90780713605204, 312.51335545645281, 313.19963431005255, 313.25393275088737, 315.71558947384602, 316.21576397014559, 317.97865533785551, 318.54520185640558, 320.67388377918036, 321.61646111168085, 322.7054599127124, 322.87367359974991, 326.87926449022825, 330.04756264750682, 331.05121235386991, 331.25200501405169, 331.36709938065434, 332.8978172349149, 332.95726623104537, 333.3057810078696, 333.37989813347383, 334.42698136301169, 336.67400087244886, 339.38528535741585, 341.7437288114474, 342.00807860272505, 342.3042934850298, 342.97458725646368, 347.00337880762407, 348.13368655050789, 348.80401904826488, 350.49571443148915, 350.9459274887501, 351.0746976224388, 351.68721270117999, 351.75684165316198, 352.75088928832821, 357.06916772403474, 357.98117490958759, 359.22932665834844, 361.3846018423223, 362.66272094289099, 363.91196923993493, 364.05798115935636, 364.15012860104144, 364.39309971720047, 364.61125469125761, 365.02802597673298, 365.52301069229873, 365.7780445333039, 365.82920865380686, 366.3545347042409, 366.99248855302517, 368.03574741263316, 368.27399346592335, 369.4796289717828, 375.21925591967226, 376.5194783291368, 377.47486178340432, 379.86198838181554, 380.3311055746978, 380.82691759236047, 384.34549482438331, 384.79338059847316, 386.36306645414692, 387.14942982354131, 387.56189052047966, 387.66362581418775, 388.01246787965914, 388.38977843294526, 389.14691104378289, 391.60107141542363, 393.17583888092543, 394.13040545406153, 394.60842410219493, 396.95294402293973, 398.17647361241666, 398.39337747864579, 398.44672561097536, 398.67190018256377, 400.98605008779634, 401.60591166472386, 401.78480214428498, 401.87690621293939, 403.18623426238213, 403.29992760779322, 403.47594707497672, 405.34705132960136, 406.06102722205475, 410.60167155507594, 410.63706432217043, 412.02240141900478, 412.47490555947013, 413.51458683790082, 414.66149032034286, 414.6852861159, 415.43263983901443, 416.34091954475792, 416.42041915379451, 418.02073108573018, 418.65852430342409, 418.89764129473747, 421.30422674910801, 422.86041798794048, 423.00382231145659, 423.63619448960907, 425.1415963089064, 427.63943528154789, 430.14041738914278, 432.21508508053631, 432.89270109588102, 432.97199681221161, 433.02877252090462, 433.44527964385378, 434.42535516726826, 436.04548272589699, 436.42605094069773, 439.98361078936279, 440.16485685741179, 440.5186390033391, 440.67202980833139, 441.32902754858907, 442.16090546816491, 443.95261430228544, 446.48839974417155, 448.03792434368137, 449.13822205517943, 449.26704445530407, 451.58354278649455, 452.61259868989356, 453.10272137459708, 454.15297073350791, 455.07353680196337, 455.59595977762245, 456.06781463903701, 456.28595938532175, 457.67783902837681, 458.05462599071961, 458.5695930134973, 459.63079088862963, 460.68525426290506, 461.91119165988408, 461.94159079761323, 463.38641235809723, 465.13012161015257, 465.69705341812909, 467.47661808800063, 469.38825733081262, 469.7094643102904, 469.78000953281696, 470.3991744785385, 472.91678447728009, 473.14494553929188, 473.54321478433519, 475.17850296865259, 475.80087569737327, 480.44372355419472, 482.1527904020594, 484.61128794769991, 485.46288466514949, 488.39054316282954, 488.67040950877981, 489.00013641692311, 489.24816187490813, 489.48749946544996, 489.73151859949161, 490.54742371021553, 491.23417249354361, 491.35575931539597, 491.54485367943789, 491.71320774262324, 492.48573006497509, 494.60961188996964, 496.30366549574171, 497.75421840429834, 499.9233354326995, 499.99642667115324, 500.17111703905857, 500.38955599486894, 502.9231364239098, 507.51194605643332, 507.66051607257646, 507.97739307657764, 508.53562997405669, 509.50728686680281, 509.84548311220533, 511.74479218700952, 512.63744779245428, 513.63298279891023, 514.41895394018491, 514.4512573825898, 514.60498043007578, 515.16416381003353, 515.49868702927688, 515.56590473158963, 516.15169262099391, 516.20660613955374, 519.55243890908434, 520.93957183880354, 522.02468554346774, 522.61483625015467, 523.10949248850523, 524.4632906551692, 524.74789146456862, 524.8146250053461, 524.89290603252573, 525.09641214585122, 525.24072976537138, 528.15560876456686, 529.9618671664042, 530.25301135592099, 530.83016554666824, 530.86366953063737, 535.48330861651391, 535.6225498436221, 537.1974700064236, 537.91496123472712, 538.08452007204153, 542.81502067098893, 543.3601884056385, 545.09808502992701, 545.37665501777565, 545.55427489534645, 546.48976922802433, 548.52855587558849, 548.68675225660888, 548.72898176767353, 548.86936636393125, 549.1630901080332, 550.52051025890296, 552.70643867020158, 553.38062258366244, 554.26407121816897, 554.72668015921272, 555.04630283949052, 555.81801797988135, 555.8500441979661, 557.38434186930238, 560.36747452186978, 561.85317162855733, 562.10121309234012, 562.35606787340282, 564.2541506041224, 565.42552238700171, 566.70296048113539, 566.98793950408572, 567.86130618640379, 568.525800360787, 570.72131074456979, 571.10203072869285, 571.34084584699201, 574.19340907104436, 575.07546987736384, 578.50072806479875, 578.82690242103888, 578.92568658501682, 579.28777727462693, 579.58454064110435, 580.33233600697667, 580.37922833453058, 580.86445503880168, 580.94918694695264, 581.83195003532035, 581.87848657361758, 582.38985906739197, 584.60237966265652, 585.86875370087864, 586.41174086015451, 591.25682215662357, 592.28195602411324, 594.71942680096004, 594.92086301514018, 595.4256421652899, 596.83024847929539, 598.01940307517248, 598.04779916330074, 600.01543859313745, 600.70473811910506, 600.95555186583283, 601.15131416873942, 601.20671754466241, 602.31348827209865, 604.19301548052931, 605.15464745849386, 607.22788669171507, 607.62693215583852, 609.1974673379342, 609.37032882215976, 609.98966967450588, 610.72528540078372, 612.87188348441146, 613.41848291998247, 614.52803994610179, 614.77070261569781, 614.8372487142442, 614.98048757525828, 615.14385546258063, 616.09231615464512, 617.32712814893421, 617.4203103951902, 618.36760164723285, 618.52388163871638, 619.00272230645976, 619.0276256179344, 619.99721083950817, 620.9844895442792, 622.1366437996943, 623.21621391733356, 623.64701157737932, 625.29340293158862, 625.57270542664116, 625.66771783865374, 626.6442658040047, 627.51813491348184, 628.96320224476801, 629.25720651270353, 629.5376396489479, 630.72086641711098, 631.04838374139104, 631.6163305798201, 633.27135025823873, 634.41776987078356, 637.39716005030709, 637.61924310953714, 637.70029639029553, 638.10626500401531, 638.41386468408132, 638.48150689928877, 639.33123087977253, 639.50942246648083, 639.94011933664058, 641.84634145000473, 643.6313312121863, 644.07891387367897, 645.28425842177296, 646.62582790475437, 647.70859285424251, 652.95000549714075, 654.41611197297971, 655.86689271168416, 657.19615458146984, 660.12904952116514, 660.92576504262649, 663.58569792057642, 665.02709133140866, 665.81912905591162, 666.72218116480519, 667.90692096292469, 668.08500159460937, 668.83138317704879, 669.85097017959504, 670.63491232066667, 670.98316567392237, 671.08349483486154, 671.98933447825198, 672.16724840539894, 673.0275922577755, 673.51729071472096, 674.77108081307745, 675.25244998476387, 676.98390076622036, 677.73442789139597, 678.29778789105751, 678.46497951143169, 682.05079322943163, 683.16351796153242, 687.1319965180636, 689.4585887941746, 689.9039085777456, 690.70325621278982, 690.93241903343574, 691.78272772810885, 692.34478950963251, 693.11766114301872, 695.59871578744799, 695.79245057259095, 699.30128963792549, 699.63085727202599, 699.6556498664512, 702.85534325959748, 703.65703719318128, 704.00802770608971, 704.70859042694553, 704.92572979874819, 705.18245975500474, 706.24110458763596, 707.02297336771733, 707.11587240326435, 709.11966579237617, 709.20829773562116, 710.59529061866658, 710.63260277644952, 712.07015756469616, 714.53856261272551, 714.79292643685835, 715.99136272819544, 719.54517304664546, 719.78711943920609, 719.9714220496237, 720.21715047256282, 722.2307755290833, 722.71273405304748, 723.88907298792071, 724.12937031445551, 724.80105058254128, 727.73322719735404, 728.27011164269368, 728.87544496252542, 729.21263193892753, 729.78707560239252, 731.98196086698158, 735.02106481399744, 735.73784939730569, 737.00477406142795, 737.09286151684228, 737.20627390433503, 737.2428993896043, 738.81966279872279, 738.88761970530868, 740.28686315613618, 740.76644297094253, 742.37459700267868, 743.93859563832348, 743.98574421068486, 745.91338372144094, 746.08354520091223, 747.21989564469141, 747.44838815716719, 747.92756170506516, 747.94949306766011, 748.26378167260816, 749.80994879347406, 750.4295112333931, 751.08007342561223, 751.46818214159327, 753.83922928175275, 754.09004226187403, 755.24293219083393, 755.84674878167948, 756.01562906143317, 756.90375080327283, 759.15165961724654, 762.14463195683106, 762.23492088539911, 767.23011474320072, 768.11614674905559, 770.85718074532963, 771.14197516912691, 771.59773138516994, 772.00868947043671, 772.66904552101903, 772.83070544287557, 774.65982335123738, 776.83825988378533, 776.97719560812754, 782.12319053295505, 782.91016650520214, 783.80037704302504, 783.86515857519692, 784.20066943807944, 786.14874598374502, 786.36647514044387, 786.90774439914685, 787.80609531265497, 788.41564697427623, 788.61914506929247, 788.86422747550466, 790.02084877768937, 790.21879040471651, 791.44892465891712, 791.56877887018868, 791.60207852889857, 799.32214883622123, 799.41218123943577, 799.73279643286173, 800.19448637061748, 800.33124836157901, 801.48273943254105, 801.68421939758275, 803.17867759740398, 805.81765432750205, 806.11350223395493, 806.2669926792895, 807.34125787984942, 809.19934518567516, 810.4292510755788, 811.48754534206455, 812.18898083998602, 813.03370516438974, 813.61338718196464, 813.66216807737715, 814.19913939068192, 814.4490475410887, 815.02735352752336, 815.77360179149343, 816.81423560324993, 816.8657536287094, 817.27673512097817, 818.60090977027301, 820.95173542434316, 821.10142240591961, 824.23283209359477, 824.6719537277462, 825.30934788346497, 826.30172241450657, 827.29103545280429, 828.23867908532293, 828.33426423081369, 829.84538970511164, 834.4442255008712, 834.69082390619178, 834.71411342012448, 836.51991603483873, 836.72615701930636, 836.77443921069198, 837.01484103476946, 837.40769468014321, 837.97149434256232, 839.7672992222715, 839.96161743503887, 844.02641446637688, 845.67092197380566, 845.82791143045756, 845.85609187342982, 845.94797296090383, 848.22839101408124, 849.23242732178642, 849.66668083220759, 850.79470223011015, 852.04995796489584, 853.17900944219036, 853.2710593266246, 854.07173574235094, 855.51199032811348, 856.46739480166445, 857.60359389291614, 858.51947414000972, 858.85767241750273, 858.90822953491818, 860.69485748345255, 861.04087941377668, 862.85942473105149, 863.51447704074872, 864.23498410699676, 864.69616961875499, 866.65790650100871, 866.81568826126215, 867.43046899869285, 868.83913318886027, 870.84042769591792, 872.56070657542318, 872.64684825406175, 872.70214326942119, 873.32024549564494, 873.80657504319595, 873.83636655260227, 876.08208764142933, 876.26433004719127, 877.07511843839018, 879.68793854610351, 881.5015360138317, 881.66122088472116, 881.97507309119374, 882.08582874637136, 883.35378657876731, 884.44818980985929, 884.56193430880126, 886.87497515339146, 888.21974739306609, 888.8973902563007, 890.29395577117077, 890.31881970516122, 890.83720342518711, 892.72393735990511, 893.89821359242183, 894.57336919695354, 895.91127513519632, 897.52998837184407, 897.66608882193691, 898.10475549847376, 898.17354678036008, 899.45326002514958, 899.57960036805184, 900.17931541810162, 900.46116139961589, 902.24113435278127, 903.74022329591344, 903.93609809589975, 904.59077269409397, 904.90061025181137, 906.36071916449282, 909.64635550895639, 910.77245481515763, 911.48969111066538, 912.3955852751202, 912.50372593987959, 912.84982478878283, 913.728789075485, 913.97846487139748, 914.35155215298983, 918.47881082899903, 918.90972109739164, 919.00290333745136, 919.18175217302144, 920.01948117022607, 920.37953504624772, 921.03964693265721, 921.27998143362572, 921.96892583915871, 922.91386405679816, 925.18537478588075, 926.44357537880171, 928.65885217903372, 929.80756002998396, 930.83840799296263, 931.24134123580529, 932.34295384084135, 933.78961814136062, 934.07538978316018, 935.23592412039523, 935.37661293747999, 935.60295784967809, 935.85320678231972, 936.50259048280918, 937.99322285071878, 941.8279603638174, 943.06988068594853, 945.51430305470376, 945.81138133967079, 945.877728683996, 945.97149595339954, 947.14517663382594, 947.19562680856245, 950.19968651433976, 952.3046066355646, 952.8916349430915, 953.68291746004786, 956.45063612977367, 957.28020450340489, 959.26795488069718, 960.57869362355177, 960.61707919857338, 960.75675762354001, 961.26882209281212, 962.24520003400744, 965.87556428151584, 968.39829627995516, 968.67583644600688, 969.49087616296777, 970.22764538047966, 970.42599198870221, 970.65950432714556, 975.42294024385285, 975.53259199757395, 975.55717325565627, 978.99982385267526, 979.23177876417617, 979.82846992284499, 979.97549821103723, 980.03618874019901, 980.1748686908611, 980.62750203809185, 982.18241113977342, 982.77237967242479, 987.62949859644573, 988.84294519335276, 989.03864812034931, 989.89339921030148, 991.57895273778809, 991.73840935330497, 992.91358397513602, 993.64411858508731, 994.35802375641549, 994.92633883386031, 999.05242280874381, 999.7325646041312, 999.95638266942035, 1001.9245486919583]),array([14.112066934947787, 14.21354756803936, 14.988553579493976, 15.447570959989662, 16.576769211009253, 17.06658482137421, 17.25221378809956, 17.625049934284434, 19.164410086085407, 19.277268701270689, 19.534035222641858, 20.235730723316568, 20.338386131898215, 21.622592022097692, 23.142702043645414, 23.497977906211528, 26.697355592976692, 28.531415578823758, 29.026607190811124, 29.70693448984283, 29.953985380199736, 33.564164172975239, 33.84922308949082, 35.306180246175593, 36.640911770513057, 37.623021667019351, 40.01300666614641, 41.065191431069252, 43.057385652437674, 43.96295866128289, 48.316849743642372, 49.075165293607391, 50.159643561654235, 51.695306668935018, 52.728945333315544, 54.719166673111829, 56.389863573917452, 57.242814494975988, 58.558322910582724, 58.889893557461917, 59.127968950976673, 59.935000865154876, 61.113881688892256, 61.4820957514928, 62.362745260347673, 63.916465420525348, 65.202886641868119, 66.123600972617083, 67.81314664500168, 69.817688747723125, 71.10584793717868, 72.059429317724778, 72.344754399013652, 74.664692342309991, 75.108982805552628, 75.918081528673255, 77.315137195329484, 77.411422848188522, 77.518663361250987, 78.261917433818041, 78.455511643581687, 78.561020842699492, 79.732655443118702, 80.195746316857367, 82.188878750139764, 82.744544253204594, 84.414595597068342, 85.119498867639692, 85.616763638114023, 86.554672693783957, 86.577064381800156, 88.422242139825158, 88.639606937942546, 89.015797349235129, 89.744444990751674, 92.638225914464911, 92.850218707012985, 93.10165478739286, 98.483693257537112, 98.608919839712968, 98.978232968619778, 99.971821708896755, 100.27829194853304, 100.99316651805596, 101.66517397953901, 102.224047217899, 103.72563927370007, 103.98671328885462, 104.11298350835528, 104.36445126188706, 105.03238042677914, 105.15976228525768, 105.63870061493986, 106.98282508240801, 107.30884509466321, 108.34726465341868, 108.97557550115246, 110.55374333106496, 111.09129993701755, 112.60568682317496, 113.92292615035926, 116.39056794410899, 117.97836022056723, 119.98426186878851, 124.74043436964457, 127.82976979938513, 129.94689843053766, 130.34411103063607, 130.36914288129805, 130.48448168515282, 132.38572853764995, 132.6482677107924, 133.51717596601691, 133.71086547489338, 134.42137409580147, 136.45648254725467, 136.63995525411707, 137.22854397535716, 137.2487799313692, 137.84703257313549, 139.60657325657945, 140.04653968647904, 140.09348430369778, 140.34329218391426, 141.60433203800457, 142.37116046459172, 142.86987397093176, 144.43996270445587, 145.11599107360982, 145.30084330986094, 146.07052326224027, 146.19722043330049, 146.41918324638837, 148.6030747953865, 149.40658577263414, 149.90339299192189, 152.47585563916724, 154.00113963907219, 154.73833336212277, 154.9907932214827, 155.6410318485816, 156.75659658137974, 157.40339868561051, 157.84601005583525, 159.44046344794222, 160.68286922792916, 161.73840159197027, 163.09383434467594, 163.58006267725568, 165.86147752413606, 166.72244662784709, 167.57455959027519, 170.00605036406591, 171.61409752815447, 171.88769416001622, 172.16333790254259, 172.65928427688212, 172.93676117246324, 173.00861349611696, 174.77370809630295, 176.88671747950585, 179.18473561437565, 180.00839910514466, 180.53594390572351, 182.94896547033414, 185.51045684147687, 185.61643295397141, 187.09452686508487, 188.12135820693194, 188.75772914569319, 190.01699858527061, 192.53065003866018, 196.87085349823431, 198.7008329053306, 199.75897708387544, 202.12423378255107, 203.16419964848743, 203.36079046971224, 203.54767305242635, 203.65942311871936, 204.15894088920803, 204.92412524274815, 207.10509475693576, 207.23853484757291, 207.42434303679511, 208.48005711015801, 209.41646083645819, 210.16396718228043, 210.27610919300693, 211.54384357688184, 211.81621315439071, 212.10727541354231, 213.56330518858584, 214.80265290947236, 215.12938712734592, 215.34147976223576, 216.34005735913368, 217.8771283713879, 218.07939511779111, 219.48245875263117, 219.5979571908772, 219.98503217439983, 221.42218350904241, 223.22515094506366, 223.8941958557109, 224.38444695514374, 225.81192319634229, 226.06671776705983, 226.55318104716054, 227.44639376732425, 227.48882106652914, 227.8519243100047, 228.23714240651961, 229.62263191708979, 231.77859015132003, 232.03388049768074, 232.62217427056484, 234.09332439982521, 235.61809511361139, 239.02763824316577, 241.92881608469469, 242.72303268611552, 242.82091353183469, 244.15091370323768, 244.60732937631494, 245.01798566467551, 245.3316955134776, 246.0360442237963, 246.43051143966343, 246.82232103028733, 246.96165158394808, 247.85198656266553, 247.99044675011254, 248.78163604603594, 249.78447832279861, 250.22235304096623, 252.29871829994119, 254.35244656780773, 255.05501382713217, 257.03477643864443, 257.65274221465893, 257.86236259366825, 258.54467829287864, 259.3227582160427, 259.69584197735196, 260.05924339350315, 261.33630324486148, 261.48488530065731, 262.49966969355415, 263.88689804205995, 264.90461996657007, 265.10847409648045, 265.60026319359855, 268.0747803242578, 268.16299380759614, 269.13987709027214, 270.33363387221254, 271.49572469638906, 273.59134357308466, 273.62809188245643, 274.34089891378716, 274.37551464673601, 274.60260722873113, 276.15024053711431, 276.75528920430202, 277.0003788650456, 277.07800962364922, 277.12037755856153, 277.33730626665312, 278.70547529400227, 278.7802838428268, 279.37926638446135, 280.47514947822197, 280.65528075534456, 280.73397232950919, 283.05781414777863, 286.00864867418977, 286.4130003567185, 287.43521464162029, 288.92015766427227, 289.97295262670582, 290.89676595672995, 291.02228615098062, 291.41964115338936, 291.49004942419953, 291.81257456303166, 291.98400554186105, 292.06301689295879, 293.64914427637825, 294.02430584026382, 294.56403053484053, 296.33744605024236, 297.60213324322706, 298.41498040931077, 300.02532430972281, 300.18501518938558, 300.92841339860206, 302.04522139148708, 303.10168738191737, 304.43635024621932, 306.81113740727977, 306.99425091146276, 307.18357743415663, 308.41414475208359, 308.57380593099384, 309.53598816987341, 310.27748195435998, 310.46521598563243, 311.85547478760179, 314.2148436281135, 315.92471030706866, 316.34690282660597, 317.22206315447477, 317.29335333909256, 318.65585782287104, 318.81324277323063, 318.92435212575651, 319.68903163383675, 319.86027851755574, 319.89252162892768, 320.07445413272546, 320.52312416574165, 322.52111112866123, 324.02524129137856, 324.75487512249026, 325.71786251537645, 326.16556538927159, 327.14859336240755, 328.36728752476364, 328.60892642075544, 328.7760530154128, 329.149023975859, 330.83973318243596, 331.0226783451227, 331.83738025684926, 332.23673599298871, 333.34927808401648, 333.96641720133738, 338.39843800588017, 338.73967226778183, 338.88092842394155, 338.91331272874385, 339.87638613730468, 340.00483407951259, 341.35546045924019, 343.15925710034799, 343.38657757245824, 344.14323077770746, 344.91497608355303, 346.95606064974993, 347.08578972324085, 348.20013808850717, 348.52891439115757, 353.50921134006524, 355.16037953039904, 355.32974019199952, 357.55597331216626, 357.68474086750103, 357.78118653437076, 357.92410015836401, 358.37241199215265, 358.57169736856702, 359.31683464621347, 359.70565923034434, 360.13197610700433, 360.43343854490803, 360.5889153120724, 360.68727811165428, 361.1613578296591, 362.26693717548841, 362.95210512519014, 363.68979305785888, 364.43070530790573, 367.33444083203494, 368.48099478740249, 369.08581128823664, 369.17290222076707, 370.10134692297322, 370.42563705628402, 372.17185597447099, 373.01292529791431, 374.07693356160905, 374.1503556655353, 374.31585058230797, 376.18785950297132, 377.21565373862188, 377.83027201711451, 379.57406643402044, 382.02650835642288, 383.52131294671608, 384.636419178734, 385.635702780771, 387.68353223163876, 388.59693189260832, 389.65118770792537, 389.85686001943702, 389.88501384974677, 390.39603804219536, 391.1802855136367, 392.6209240643085, 396.99447309244056, 398.61886303971306, 398.94832361459049, 399.53615221884985, 400.55297458286731, 400.69018550028244, 401.26526405141527, 403.17878221993971, 403.96110557135876, 404.37327118720748, 407.31671432369814, 407.47508591693497, 408.19851610831728, 409.17991623426065, 409.62331130163477, 412.30185456091937, 412.82940070892926, 413.58292952235996, 414.34435946004049, 415.68493860294927, 416.66802089217606, 417.39503254650765, 417.98974031931306, 419.19154879563689, 419.92485322733472, 421.35706135383811, 422.08450143563397, 422.26226502219032, 422.58443125379858, 423.69031176196376, 425.07319380078661, 426.63760767405114, 427.16501790002775, 428.0270280991802, 428.48614988517471, 430.80084026855451, 433.09360935999445, 435.21074078357628, 435.53204984877431, 435.89601162099234, 436.76659942573843, 436.99417493717084, 437.27728290420947, 437.6638452087488, 438.2842980963897, 440.61783663034856, 440.93673922303634, 442.08015717656161, 442.70364283277013, 442.94922923738579, 443.2543857341999, 443.28145598435805, 443.49669959389342, 445.12055409877092, 445.64506250991735, 445.96439091065594, 446.32882224539713, 446.54096042863961, 447.60852662470427, 447.9083796304725, 449.64507391657338, 449.77677659985807, 450.45230118385774, 450.53462164746753, 450.61520972740499, 451.12846714505906, 451.48979495095261, 452.7451100959849, 453.89652668295423, 456.0214384095637, 456.40568164247992, 457.77653714156975, 458.38389961531061, 458.55082761851929, 458.92838451125527, 459.91397677677941, 460.74112318911182, 461.63643372863982, 462.05974118610192, 462.44101305592113, 462.6683915677105, 463.87444249176178, 464.31530302656199, 469.90837136402803, 470.35415331977958, 471.41963516084945, 472.37498318785731, 476.39297971576622, 478.08761444440438, 478.77237675575685, 480.97161824210093, 482.16113317642453, 484.04708797413866, 484.41226281933183, 486.93685477996411, 488.32132061562635, 488.39489360926046, 488.92653868180599, 489.15044855179758, 489.43946850851432, 489.85265684599813, 492.92588594650823, 494.15142645768651, 495.55846211867919, 497.12264583715819, 497.76435757584858, 498.37147200876137, 500.28879459419812, 503.51090507678509, 504.47994378275632, 504.66510254210584, 504.81798780664099, 507.7609279242829, 508.15244956729873, 508.67345598339296, 510.95323870937381, 512.31970660430477, 513.32738206084673, 513.6924501452944, 514.03435509126575, 514.47639119794178, 514.99686630225995, 517.26957374227641, 517.91446776574912, 518.4843957491853, 518.81411907846348, 519.72770398929799, 521.97302131986021, 523.7291641226534, 523.79855120660523, 528.62364132847074, 528.71576291624149, 528.89203267808534, 529.15856857508993, 529.26634960821093, 530.3485063360406, 530.92041473460563, 532.4666135252254, 535.98171324330019, 536.44549600982862, 537.53292457459418, 540.22011929178302, 540.35730731711874, 541.15032518936732, 542.86899441618527, 542.91639652236404, 544.5984480009239, 545.65106053272564, 546.23812898709878, 546.48400946615288, 546.9120062364359, 547.85937706303571, 548.70478973312152, 548.81244649704729, 548.92627716441223, 549.78725195349693, 550.48634406986355, 554.55267179638906, 555.52344025886362, 557.27287109064685, 557.95236733174715, 561.69274309795446, 562.58097013736415, 562.70539795818388, 563.47588021739659, 563.94439165239066, 564.24858983713716, 564.31197898277469, 564.7774757473328, 565.12295246771941, 566.49456138726566, 566.5363994786984, 566.57205230567638, 566.98684608388658, 567.66163513766571, 569.04105121328791, 569.62501864166256, 570.10099504818095, 570.37674651996758, 572.11729258706589, 572.8159629789493, 573.2080449318172, 574.49478954212384, 574.71379988311946, 575.59153553447163, 577.6283421795672, 578.81935839486334, 580.18109304222514, 582.08228848472811, 584.91814304237289, 586.25938505400643, 587.90231694135878, 588.39192232805783, 589.49100961062652, 589.80699510305385, 590.09276294982726, 590.15816497369156, 590.24570280693968, 590.5834444697839, 590.88937401945566, 591.86942238316897, 592.69519781747647, 593.07108107754948, 593.14072558580233, 594.95139082888511, 595.96161220332726, 597.38871128314884, 599.33739123174848, 599.79369936891646, 601.84568406642666, 605.55829422583736, 607.44792436530963, 607.9093223069309, 610.35112000279719, 610.61153118265349, 611.22251448187296, 614.25065225256981, 614.49893551075922, 614.74429360538863, 615.52288602982651, 616.37625607898144, 617.21493265112349, 617.31779489884252, 617.41447729366644, 618.29507789335821, 619.55715449331592, 620.54742626785765, 620.77950739998437, 621.4324525228825, 622.27932940319238, 622.82469696749536, 623.29302705074372, 624.07101023848293, 627.15348558789663, 628.102490752324, 629.48551085000202, 629.82524811970086, 629.89822589512028, 631.47526996408453, 631.53974711697583, 633.64730521998058, 634.59035865157148, 635.58770215094626, 636.82248353076102, 638.06548645165799, 638.25773662773111, 639.05530681397431, 641.6950767529554, 642.1644538877332, 643.78906648930399, 644.05141230656875, 646.52443705845531, 647.41286950534277, 648.52236157758125, 650.69222663342521, 650.79264489978277, 651.69212305774829, 652.95194281268061, 653.60298427056307, 654.3504191492566, 654.510594152218, 655.40922941850999, 655.83271538479687, 657.2694693211613, 657.69871789736351, 657.7361374605631, 658.09400542261744, 658.33728513879328, 660.34368707132398, 660.51124116230983, 662.65639490854596, 663.00292637370103, 664.65906271096833, 666.37110517015947, 667.86415545530622, 669.98163473689897, 670.33959095482726, 670.54039371954434, 670.96392011176761, 671.13487909084608, 671.51906840690515, 671.92979593931238, 672.95844861080923, 675.43566554596168, 675.57539527860092, 676.21987629715431, 678.91680065138485, 680.14301974256239, 681.56859851620925, 684.08047727992005, 684.12992250000218, 684.31512595267372, 684.76463647031358, 685.21448976846295, 685.91921612143744, 688.09777970999846, 689.99733194064913, 690.71835725982544, 691.99841780307463, 692.86017507046745, 694.33814885344646, 694.48298620612309, 694.58173375300521, 695.73840407294824, 696.58395944475672, 697.32743084820243, 697.89956790486679, 697.93003334689683, 697.95826269162933, 698.23525492020633, 700.31650374566584, 700.42452307173164, 701.34125138923309, 701.47089539855938, 702.02440729333671, 703.5722185480497, 706.30850977655916, 709.32664067218877, 709.48074316983309, 710.22934397860854, 710.91121959426891, 711.7238001288456, 712.12017815695469, 712.22360256308923, 716.00791008548174, 716.20222922943879, 718.05839200431876, 718.32662458533571, 725.97345054788957, 726.90348616137317, 727.7541976828071, 727.90101748522784, 729.30836894580136, 731.15462834107234, 731.17596796508974, 731.46844743683084, 734.21526048541239, 734.34839291322157, 737.91326528476748, 738.53025422180508, 738.87025167304841, 738.94886611528443, 739.17190064731267, 739.44339435013546, 742.16820570533935, 742.43292071333258, 742.78477465690412, 743.54768673938281, 744.40387135238279, 745.10020071926567, 745.32088221432969, 746.14807143079008, 746.34316760458387, 747.11406587036061, 747.54855631203247, 747.66765259634315, 748.3572456217014, 748.80173303431218, 751.02992669524986, 751.92907045738946, 752.4989819076219, 753.16696312962063, 754.30378641911693, 754.43210291191167, 755.19683962038368, 755.85397344455475, 756.25721802329861, 761.30410486962842, 761.82405877655287, 764.47235467368193, 764.78257381692583, 766.07581031013854, 766.73755937626504, 766.80399972633677, 766.91658943820107, 767.61952082473624, 768.03281512098033, 768.76813365305179, 769.2579355629033, 771.48638974285848, 772.63893807348359, 773.51776630283143, 774.78281713568674, 775.30274912065022, 775.87699772695191, 778.4705550414858, 778.73055616761985, 778.89110415099992, 779.88373909056816, 779.91203634656335, 780.24440517715982, 780.50858749348185, 781.224799826197, 781.72883331922742, 781.88129178091128, 782.58320394782595, 782.75356073927924, 782.780244769364, 784.42121788515112, 785.32598706742556, 785.4961274526263, 786.14721681467381, 786.52023992616125, 788.07098207782121, 788.63503921208064, 790.52175389702325, 792.56732031833064, 793.05917349733249, 793.09758730892247, 794.45769138567368, 795.30365209496654, 797.01565783084243, 801.18894935508104, 801.49695577123668, 802.13936131557773, 803.03061794087159, 803.69973646951337, 805.10148640695445, 805.19564217652305, 805.68189442898472, 806.49274923083749, 806.66380509336284, 807.56024633399466, 808.96106139256733, 811.5602639404791, 811.88373527566603, 812.40759525807437, 812.68619198246472, 812.95200508025607, 813.63431568212548, 815.81375042961474, 815.99900074299524, 817.76973349507512, 819.65367396169506, 820.64144486463795, 820.71988130157831, 822.48279464164102, 823.41837211640791, 824.78666125392954, 825.4346461137352, 825.57886182964444, 827.50719260264884, 828.13063721629203, 828.21235813567682, 828.32140314750495, 828.35443346005138, 828.80420885004901, 830.58551138368432, 831.87901393621678, 832.83240255231158, 833.64699471070435, 835.52846190298703, 837.81048923391097, 837.88919465058439, 839.65259226408011, 841.53593504288847, 841.94586147403822, 842.20731182334896, 842.5068641886653, 842.54774564349998, 843.43164524492931, 843.69714495511664, 844.44591526099089, 844.71014641022134, 849.60032806243203, 849.84101361623527, 850.2782079591467, 850.840703522225, 852.09331250348714, 852.79085970560345, 852.8844646253317, 853.53990819922956, 853.74179269653735, 853.82457380888275, 854.82854654737412, 855.25126754957034, 856.55627107610735, 859.99946046043692, 860.40912012508011, 860.46703257438753, 861.1900567942829, 862.24199251253879, 862.88382808043491, 863.14507728903368, 863.16592454852866, 863.25340779910914, 863.52997502304754, 864.07149685314585, 864.26845769775798, 864.90150898349634, 865.53136263041608, 866.15580889217483, 866.34374508625365, 866.57234657339677, 866.86219182559523, 868.6146703004232, 869.64236235585702, 870.49831182678815, 872.77250630320498, 872.98656202834434, 874.67607976358795, 875.75375200717303, 876.20286243669625, 876.92432310096035, 877.28648337128436, 878.88552164631551, 879.37209586831068, 883.78556668704482, 884.74705553152523, 886.75721052552683, 887.4255689335323, 887.66545658928112, 888.86895005393967, 889.79989718796378, 890.08647971564596, 890.57849439497272, 890.86924166657457, 891.90643402918738, 892.30256278055083, 893.20012304986108, 893.33058786896504, 894.67704849932261, 895.16081010781375, 896.296502893759, 896.36339321786795, 898.61635912862334, 900.10555939143785, 901.0834717207573, 901.34659980852518, 902.54888673338132, 902.84827840973878, 902.93347603379982, 903.75197009357407, 905.73993524823732, 907.47163473585124, 907.55631842375124, 907.76837430745525, 909.27733832635295, 909.82182681322229, 911.6491908144211, 913.34548447979944, 914.50244468154017, 914.74462799243133, 915.07594148041744, 915.20139647337567, 915.5535978942346, 916.29909157586746, 916.90764978922005, 917.75753194215508, 917.83726425619363, 918.68634594862283, 920.57954894531963, 920.65007505618394, 920.88086212717383, 921.18476957308337, 921.35433385075055, 922.31395976924671, 923.68056407206257, 924.04933830343487, 925.03240978129679, 925.56744355007095, 925.97970143880309, 926.20687297081793, 927.89106442529385, 929.71982788714388, 930.11649453016832, 932.40435688084904, 933.60917683988373, 933.90708570384345, 933.98544197334206, 934.50132784668119, 934.84008805560779, 935.18286133971696, 936.66063740506229, 937.42434782040004, 937.64259009093632, 939.75734808874051, 940.62831072403594, 941.93479883084945, 942.73310571702825, 942.85766824614166, 943.72562073801816, 944.84338976483878, 945.28797303095405, 946.43150938742656, 949.32344306854998, 949.57879063533937, 951.24678518127121, 951.44403153493238, 951.46493945299255, 951.52769890291495, 952.54856627072343, 954.06729712727974, 954.45475996235984, 958.72995159367542, 960.64957332940514, 960.77870018052079, 961.09795129359088, 961.48420323938524, 961.83319146634665, 962.66441660543558, 964.42069627805029, 967.09580071414609, 969.25351607541836, 969.28055129948655, 969.57910961881748, 969.98981223982003, 971.11423159603805, 971.36278535351687, 972.90485028458113, 973.62041193719722, 973.88477020512028, 974.80082981703447, 975.45000028809443, 976.09548835645114, 978.03362232795894, 981.09850657813274, 981.42174228851923, 981.98122691714525, 982.51832941452835, 985.49931245720052, 985.96115560309602, 987.42731864094617, 988.09531439624197, 988.80595395032094, 989.00155727914171, 991.31703811381487, 992.4823320146362, 992.6671252794165, 994.00736507092552, 996.05764860591455, 998.29658248102317, 998.60611491519467, 999.5909352254248, 999.79262022751527, 999.99697247066297, 1002.7136375409881]),array([37.072415186358079, 37.232699186269087, 37.4718281776683, 38.481646316019699, 39.767736085085055, 41.125298468760853, 41.594257075778778, 42.213442086808008, 43.281937224085453, 43.355226084060817, 44.592424875076524, 45.693678930456137, 47.196060730061696, 47.223903068197004, 48.125629945770086, 48.158719171460177, 51.592213376975472, 54.659192722401045, 55.045026100842016, 55.168652687219797, 56.080670342053935, 57.197047211222333, 58.714101219059749, 59.278799226836895, 60.283246734692064, 60.934949900441758, 61.812131758644902, 61.885157069856241, 62.870878690024455, 63.312007609732987, 64.595859289447944, 64.679850728039838, 65.075421528757474, 65.201673392580531, 65.930974631498003, 68.54202395959669, 69.450914861292858, 69.797010905627658, 69.887147383712204, 70.128214294381522, 71.782895597641001, 72.669357738240549, 76.11714380369429, 76.889255338637327, 79.490331581114546, 80.069423960702636, 80.300733613771001, 80.400288903543796, 81.292974381199457, 81.645718358626027, 81.757705986616713, 81.985398617475241, 82.781079752791257, 83.418911589976659, 83.460513909128494, 83.772257250813325, 85.215112912377933, 86.272597464243034, 86.983143940727345, 87.668278351042858, 89.71345814033161, 89.755108294809176, 90.74580501309336, 95.467518769497246, 96.1584149987291, 97.095115928972177, 98.504238428633499, 99.596242402304838, 100.04335434598272, 101.23968894348866, 103.39567793362774, 103.45001649790674, 105.9975113588943, 106.32664273665202, 106.68900012427997, 108.53958288590414, 110.06119275513015, 110.35396825742747, 110.46170570079492, 110.68072029147288, 111.00755900665648, 112.54585514781729, 112.67626216703361, 112.92747690360164, 116.08353455962089, 117.5720160805466, 119.45556297481383, 120.54798140935443, 120.76208053263579, 121.86713685130351, 122.63456892860303, 122.69937935205154, 125.02121758213568, 125.25421102770588, 125.68124713305767, 127.26670935402154, 128.38944986162542, 128.58443821037963, 128.95948292981461, 129.78368624553406, 131.99412015618782, 132.17862903101161, 132.58472070620869, 132.75374623045738, 133.61600556580004, 133.66181784071566, 133.78055725846474, 133.81653924931669, 134.00444566900015, 134.1394019570387, 134.51529254856553, 136.23219092732086, 138.96230553460191, 141.51872876991277, 141.68321057316973, 141.74747649927369, 143.20821092459761, 144.24335993931146, 145.00373958990872, 148.7716706526563, 149.60404298508652, 151.20267296205608, 153.954618044759, 154.53558008448942, 156.63628381197981, 156.87389085474456, 159.49646561049823, 161.97681610017392, 163.45854085387168, 163.68258009169335, 164.22135191441532, 164.79520190448685, 167.42234232116533, 168.54164708708373, 170.84079271997646, 173.22446744353027, 173.34218140997248, 174.80972456275018, 175.2329397893572, 176.00202403347083, 177.60536173157141, 177.8624770883518, 178.09262122456397, 179.45005156652056, 179.75642659893265, 181.51856097200547, 183.37048574340281, 184.41233536802085, 186.88154548872492, 187.98264664738974, 188.53567115362949, 189.51884297840715, 192.24453232433632, 192.70425145164208, 194.10085687098012, 196.25318190146163, 197.15390159664869, 197.27641178870368, 198.42941908925943, 199.91127507307741, 200.32440839956996, 200.4491129762836, 200.74240999786278, 201.0722691385285, 201.27487888354707, 204.75756815583864, 205.06457115540115, 205.66613130461525, 206.72887793280677, 207.01395366565075, 208.33838995027986, 210.31152641923188, 210.97646508725265, 212.35258341014219, 214.7447369566593, 215.57518784035506, 217.05349960308587, 218.15249910520154, 218.95567441494316, 221.82313757659136, 222.26503234772696, 222.41447810174375, 224.47331361011558, 224.61398579087501, 224.69317138101707, 227.09776231046723, 229.02996694738673, 229.64802577758542, 230.57352289013622, 232.30591857368225, 233.33045988896532, 234.07108967556314, 235.50981776118641, 238.40749969790505, 239.82562468487919, 240.82892527152808, 242.70369557995548, 246.19068867573773, 247.17432357284619, 247.25465083480188, 249.75196125532838, 250.43143967943567, 250.59164563276011, 250.7066252786654, 251.74069267928184, 251.83673006056904, 252.54427059832508, 253.03183335830553, 253.46233580643997, 253.53471813309693, 253.6094710983547, 254.11264321761547, 254.31603760239892, 255.47176106004559, 257.47817315125292, 257.61784676218178, 258.37499987839618, 259.83491798958698, 260.29303271436879, 260.59600184032854, 262.67848804772211, 263.68333280122096, 264.70418912047882, 264.9198965609578, 267.20422376213543, 269.22469039470741, 269.32836772200272, 273.63817421123252, 274.36118646209235, 276.58484463502873, 279.17103902548962, 279.53991493205405, 279.98528685714768, 284.56413272969161, 286.06689874590529, 287.6053867438477, 287.92852416400723, 288.13490907648566, 288.91683252519169, 291.88932483415886, 292.09301602122224, 292.90776987628959, 293.02547776949359, 293.06778345628959, 295.83559724979671, 295.89987840820754, 297.24548364827245, 299.81022013894307, 300.6872784969558, 301.2352885449867, 301.41442676928739, 301.61028667967452, 302.1419360177909, 303.21665279680502, 304.18385155477233, 304.81838537519388, 305.93810664685566, 306.01310549839104, 307.21395466447939, 307.76454216555567, 308.29864153221149, 309.41787937504716, 310.70056819859923, 311.38751723989998, 313.50093410571316, 314.95068884018059, 315.04634922607607, 315.11867355101214, 315.40828949095896, 315.48410593584413, 317.71650566812724, 319.40355830718829, 320.14645564983357, 320.43648198968981, 322.35549722898173, 323.72506266197672, 326.18251570992658, 326.29994941076257, 326.7127484014519, 326.93682274505454, 327.91298644091148, 329.72207481543961, 330.80782862089956, 331.27480285650125, 331.49869371126317, 331.8679825262804, 333.72772610501949, 334.1689058748708, 334.53480135565133, 334.57687928480425, 334.96093616860549, 335.15394221064895, 336.65603714861737, 336.96750560394071, 337.90935911492403, 342.00080873395729, 346.01924754897516, 346.28305071141943, 348.23242832109605, 348.47624212182069, 350.04373344629977, 350.23919070898177, 352.2048679260044, 353.27763441776193, 353.53658575486867, 355.43935267025597, 356.92030629828264, 357.19918528318209, 357.45011352229341, 357.49547247207789, 358.8339335505396, 359.32844174381535, 360.33697060373004, 361.34475083594998, 361.70040227867179, 362.26041610701077, 363.66983238851088, 364.00396555873652, 364.04691254322705, 365.02788724353849, 365.47782833866967, 365.9113035159146, 367.50165989312762, 368.1196115014871, 368.58847927190521, 370.928803422312, 371.55031006435576, 372.01699884154942, 372.83397991217208, 373.48167341352092, 373.97258166541724, 374.42164734365093, 375.06570317106485, 375.22859344902463, 375.95696657354767, 376.60787008798184, 377.05472858267319, 378.4924539993039, 378.71381443827443, 379.53855931748433, 380.56904497231693, 381.06501684373001, 381.19871630762844, 382.41888028215175, 383.17476899655594, 385.27048188970008, 388.24465064868656, 388.47204688157711, 388.67174892844474, 389.44933224425262, 390.27665631305553, 392.42037004664166, 393.42106544409449, 393.62195563731569, 394.07599609004416, 394.12814774535235, 395.10204326665416, 395.50262248377533, 396.02224760642974, 396.7273571299425, 396.9686667713803, 398.56279063286252, 399.28706152403532, 399.67237414791526, 401.02571571256487, 401.24774010122508, 402.99655253735824, 404.18440402940291, 404.37528630693214, 404.55594296452244, 405.63078475664781, 406.50358057129216, 406.63627968777917, 406.70208293967045, 406.77250421080743, 406.97259254350968, 410.02553648782168, 410.25149030076079, 410.59193498196362, 410.92258106258163, 412.01325621791494, 412.77502562076728, 415.72836702014843, 416.45658847506951, 418.19671695629643, 418.79297081112998, 420.23563784726673, 420.75309353891197, 421.01071914959095, 421.29818760516815, 422.12836797879072, 426.51144614442177, 427.03256868893686, 428.08226939770896, 429.32858098563844, 430.48074519945737, 431.30017973430313, 432.56903103421814, 433.17098694656897, 434.47659157574873, 438.83436625011547, 439.44234829711587, 441.17072032881271, 442.12739441744412, 443.74732392235057, 444.72977836679291, 444.95944783064937, 445.81449651034092, 447.52760001958166, 448.01699281675553, 448.11585969470082, 449.70498294422083, 450.79664289716459, 451.60013008279407, 451.76092958769493, 452.20947765218568, 455.50513897058329, 456.4881995139213, 458.34671323841792, 459.91413735652316, 461.48757878493609, 462.35591500574111, 465.64726637385809, 465.96216373261387, 467.46469886627466, 467.85736016125918, 468.24492244007536, 468.6214390723556, 471.6128860094264, 471.9477086195015, 472.21786777038488, 472.6051406449846, 472.75190032295433, 476.55710900525287, 477.15507663833529, 477.61136008624538, 478.18728526809616, 479.76073042044453, 481.3083159314964, 483.21799512463701, 483.61098317026403, 484.21597492805887, 484.93703874697712, 485.09577837637357, 485.42519112678309, 488.16572541962825, 488.47477241903852, 489.33979845877087, 490.142754441389, 490.31546410744585, 490.50599899888368, 491.30219771163473, 492.35466937231001, 493.51411797939983, 494.95838914818665, 495.91951005726878, 496.22756684864981, 496.56936673801192, 497.79283040813118, 498.3172357368, 499.13178873453722, 499.53778573463637, 499.67445666700138, 500.38203300082796, 502.16321198661637, 502.56066718278288, 502.91328062381393, 502.97249835661961, 505.78341487700965, 506.05087828217887, 506.42448194791626, 506.68166377759985, 507.68143930382251, 509.60973566678126, 509.84786875140941, 512.66414072062048, 514.13833712510336, 517.43527482394165, 518.91735043401729, 519.41511955614703, 520.30749513802152, 523.37305239532952, 524.71437625501858, 525.17374317379665, 525.44482600449783, 529.04965447684776, 530.16369532217243, 530.90620268419082, 531.04426293297058, 531.97959040764772, 533.40969883903188, 534.69898292987739, 536.07686081359816, 536.41872281201222, 543.74379906452009, 544.98214310554795, 545.81576219776082, 546.07284459745892, 547.58673236205391, 548.0033973008766, 548.36403258671373, 549.43050200502842, 549.91594932527255, 550.8212355305667, 552.17949420000639, 552.60540862661992, 552.84866683674591, 553.57127240432101, 553.61177227833684, 554.57159029325203, 555.561852945704, 555.71495064738122, 556.34681829302576, 557.66244155591869, 558.85396122919144, 559.91958842946065, 560.03829471882955, 560.12253860566318, 560.57379893228665, 561.90425994880752, 562.86316660154171, 564.64969322707486, 564.76468680805738, 566.46805991533211, 568.54201196134829, 569.26216781304811, 571.96389586970611, 572.22082631250134, 572.71174131143232, 575.82064549062136, 577.06395946398641, 577.91933234565568, 578.30381478118784, 579.45672155227123, 581.29598333187573, 581.39035973457067, 581.47290709914, 582.35688388569258, 583.12101982623301, 586.86995900340582, 587.06085753046011, 588.50836710500801, 589.13127502230884, 591.77619444290895, 594.2627519416186, 594.41639810304446, 594.86032014575369, 595.11979710555261, 595.38386611583803, 595.66544791727722, 595.98471576437976, 596.12117971084956, 598.08519875194679, 598.74604494451933, 598.82462418717716, 599.50483031329748, 601.22298708158394, 604.13878355253257, 604.4793111389688, 605.30767472805826, 606.90308310662795, 607.49203391955541, 608.05278840535686, 609.26929131495774, 610.01968971833935, 610.7827966668998, 611.24625517963887, 612.04789941563286, 612.89302904702674, 614.85972324087163, 615.76404845258742, 616.02079646877917, 616.31441905852671, 620.21525310744767, 621.55724537111848, 621.8185384623556, 622.30410079743808, 622.86799995490446, 623.98920194216498, 625.16786285147555, 625.2618889760065, 626.08696676132604, 628.06760866006709, 628.55055191776205, 628.62710338962972, 628.64787561037303, 630.27906918076837, 630.86006802469387, 631.21834381504266, 631.87268944433765, 632.23002645825534, 632.47313220187846, 634.28734990590476, 634.6991001318894, 635.45064244176854, 635.68560784076635, 636.2400848486634, 637.40792040309532, 639.14932535026503, 639.41575613617601, 640.78967776218121, 642.24625759625587, 643.60288783784824, 644.85450654065278, 645.28194837418505, 645.88823400387662, 647.8402440544545, 647.91988447466485, 648.36069525661117, 648.85780048062293, 650.23589558152059, 651.38451568268761, 652.24325792457546, 653.62925744145366, 656.12812012012648, 656.39847445034195, 656.99705437115131, 657.77123116482778, 657.96300099892699, 658.81067175783335, 659.12180095316467, 659.76726467697597, 659.94209771151532, 661.64972762238165, 661.69108843547417, 662.79704678657708, 663.24214150752982, 664.40484524225508, 664.81657577326826, 664.93097300216346, 665.71816984482246, 666.02391355977909, 666.09744092565802, 666.97791922103727, 668.11305315482684, 669.18044250064088, 670.79594957215352, 671.83232139466497, 674.41818231358388, 674.7023533470217, 675.6536380852001, 676.98806915818636, 677.07600350657128, 679.58520869302572, 679.82498648444425, 681.33501947180855, 682.19877263448257, 682.37498211135392, 682.54203403739655, 686.7205862996916, 687.30982365459863, 688.17566790226658, 688.80722614063245, 690.31838472625861, 692.07124090735624, 693.2670538534469, 694.41662947892621, 695.33740450766686, 695.40158907916418, 695.77632868464889, 697.23068679840731, 697.28329946985275, 699.29138906203343, 699.57910698908756, 699.74542262064699, 700.44252539264346, 700.72518454146996, 700.85148197433591, 704.28043691984863, 706.66227911306078, 706.95578608580786, 707.89836575961874, 710.24272196866355, 711.88234909714936, 713.18931714727773, 714.19224978631041, 715.16601905912307, 715.28860893343074, 715.97969273271042, 716.30047170548414, 716.51469454146661, 717.78543065265262, 720.73918147480924, 721.03559993196075, 721.15654102508256, 721.45128445249293, 721.50945097692647, 721.81062045227532, 722.23964683461782, 722.33465667046016, 722.53961986547938, 722.94892898849241, 722.9996785402551, 723.54013860697466, 723.57370828108913, 725.43009451132889, 726.10951214983618, 726.72886333792871, 726.78730736566342, 727.32576071364701, 727.96287886684945, 729.31096360496531, 730.73746067196021, 734.35095006767858, 734.54100422108138, 737.84077454706073, 737.99421336816522, 739.08511570735061, 741.90958106571259, 742.12632733527084, 742.32650721598543, 742.73000877874938, 745.87536457081637, 747.26689312471206, 748.15400770271128, 748.70254017535467, 750.14900925340817, 750.79336940096346, 751.65245239793649, 754.6836887294595, 756.65004371069449, 757.02057331374704, 761.47448283769882, 761.9460759398446, 763.75789435490719, 763.92833529894926, 764.13359350087478, 764.23715688804486, 764.69000468975401, 765.16650662945392, 767.1754860908552, 768.16524753599265, 768.84327249991964, 771.22200507395462, 772.14189774941724, 772.30956798267812, 773.058112205714, 773.617004429698, 774.32338856289812, 774.68581286574613, 775.10228911144679, 775.9729203648152, 776.33911522607048, 777.59415780085556, 778.14566372905938, 779.51284858071858, 781.18527171045059, 781.53347796230116, 781.96961448119953, 783.59564406488153, 785.00759237559976, 785.44176538255306, 786.12916257302584, 786.33576786135336, 788.18585860373355, 789.18613210420619, 789.23920273364195, 789.28920192739474, 790.25575724274563, 790.40312849161933, 790.604928389458, 791.26281822893066, 791.99375972770372, 792.42564967716146, 792.62762955314713, 793.73227497836069, 794.99414377076414, 795.78748268619097, 796.01084669694455, 796.05391306049, 796.37591813323615, 796.41390863833465, 798.26433013243104, 798.85989420390763, 798.97867843539689, 799.4699461974634, 800.25954537728705, 800.51034212983882, 801.22064063178721, 801.59496797326153, 802.83918284092601, 804.19330825431859, 805.0094653852766, 805.86695605185605, 806.64642705541394, 807.27381194344014, 809.08767910694803, 812.87846501566423, 816.12653802242744, 816.30675072271197, 816.90021320880726, 818.17102458595389, 818.65695878571341, 818.8863597999914, 819.12925889457858, 819.22201941439755, 822.30313765169353, 824.55871235489315, 825.04026516915098, 825.62012102934921, 825.88933731570694, 826.36778393562929, 826.44581638284535, 832.61453137381204, 835.1314190173216, 835.86311251324105, 835.92167576103986, 836.59188140824756, 836.78864546681314, 837.11955601280329, 838.16835976271909, 838.29438016851202, 839.07321777476204, 839.71844375768558, 840.34920438186271, 841.53400400925148, 842.05394556386022, 843.81693822703278, 844.43588936761807, 847.0395119264075, 848.54422376560399, 849.71199286679018, 850.23510537864331, 850.33244750218762, 850.61186518987608, 850.99300802301934, 853.01879518326461, 853.2843581443924, 854.35457467327251, 855.03731621232168, 855.37682633959275, 856.50716277180425, 856.97276885232941, 860.16031354112317, 860.67593759726321, 860.98275456006161, 861.23641320943318, 861.30391094835409, 863.60304662760893, 863.86001109682252, 864.68037456069328, 865.39834492037664, 867.04941518578767, 867.12968327550982, 867.3112913239404, 870.92334832618394, 871.95287005212799, 873.41127158859933, 873.60467667938622, 873.73698511877876, 874.23199080957954, 876.01360968884978, 876.09858910394871, 876.78099694231537, 877.86623149500565, 878.24610840026435, 879.28785234860902, 880.6495068996046, 881.41795374537742, 881.81451661921426, 883.69264764381273, 886.03395220594507, 886.55283638402898, 888.01583148466193, 888.62914101141757, 889.70683069589586, 890.28509868511298, 892.4594459551156, 894.45514780683095, 895.30549646060695, 895.35643785008085, 899.37950138287908, 899.83760900400944, 901.8406711252951, 903.62600327415521, 904.56735577502945, 906.02643746764886, 907.10528826306279, 908.00830460401585, 909.81648582545199, 910.58122706834286, 910.96685758759031, 911.10235337167342, 911.47675444812796, 911.56970651906522, 912.57295024281154, 912.97882768619536, 914.10788542807859, 915.89714602734796, 916.50527887705596, 916.60550051095515, 919.44142443238047, 920.40786127292779, 923.46432623985322, 924.73286257175084, 925.07362286810542, 925.67933969113051, 925.91967036579229, 928.26070689656297, 928.88672236235743, 929.51358235714906, 930.23150657078065, 930.60799278801369, 931.14682869995193, 935.02848699481376, 935.14085755514759, 936.07107495750301, 937.19677270569412, 937.52994077426501, 940.62130630948968, 943.23230929297563, 944.31461530268359, 944.7591327379198, 944.93153055030518, 946.08221368828174, 946.11362101768805, 946.87742028321929, 947.10165611168713, 947.35980565709963, 947.47180219491338, 947.58477397200977, 947.82914886689105, 949.39658900289646, 950.307479174234, 950.41829881527667, 950.94971503053023, 952.85552652589047, 954.07069975165996, 954.21837313529136, 954.3442785184568, 954.53568100205939, 955.15511430205913, 955.19978840513272, 956.41131615472364, 956.95350922848218, 957.33319035775605, 958.10276436661832, 961.20202145282985, 961.2680707828107, 962.56175761271095, 962.98444946344864, 963.72860610397447, 964.27851566790355, 965.20984535822492, 966.75778302078038, 966.95223208717948, 968.36703510600432, 969.63253648065802, 970.7129863953769, 971.51125282877399, 972.13087365800288, 974.23216880101359, 974.47130821462508, 977.13393158990846, 977.24614623187938, 977.81413059248473, 977.90235091408249, 978.87922399776471, 979.48500821574942, 981.01153800107932, 981.61103245579034, 983.76725170880593, 984.76595003378736, 986.02249443737605, 986.16975332549418, 986.26454973010811, 986.45421834402453, 990.04289975341953, 990.47767562893557, 990.57601125325482, 991.02647411754219, 992.86981578428026, 992.93331793747245, 993.14056619955545, 995.56625349666717, 997.45386284026551, 998.0270076612934, 1001.8598701816787]),array([6.4786657861811374, 7.6192116017004601, 9.8237617536713167, 10.325772030589947, 12.226055496436075, 13.396600584835891, 13.776141762332307, 14.077071621060304, 14.431771977725591, 15.819573256794119, 16.487281573261612, 16.760460873478955, 20.4857775544295, 21.015184963809446, 22.275865776318387, 23.03057191004552, 23.212833044897408, 23.3191848469265, 23.615776909263591, 24.085779037297069, 25.242041181814763, 25.304613541281331, 25.683659340310399, 27.19574960904523, 27.761197922676509, 29.162031621630668, 30.226930716598527, 30.935434783701282, 31.803039973397997, 32.662559302659552, 37.125581372928025, 37.264493356682195, 39.142971755424448, 39.579790956863128, 39.665552243440914, 39.918242354274291, 41.275112638537536, 42.264751723157651, 43.762935381638101, 44.057748266109314, 44.836687966128906, 45.330722997240755, 46.765692067279488, 51.349863826939171, 52.34015230727973, 52.41237663931782, 52.507079013678471, 53.457723244270774, 55.064759304123378, 57.094471601249616, 58.313837888640293, 58.361507339015475, 58.980934573302612, 59.4147721410732, 59.521945031009302, 60.070009564311533, 61.610508518123339, 62.569838177226863, 65.068248107508069, 65.594825687959016, 66.309929433590895, 67.438368340738279, 68.430610804970087, 70.162638627730189, 70.369035532182565, 70.735505017565146, 70.913243716195282, 71.148261258221751, 71.962004718013489, 72.069526897986123, 72.822559877766423, 73.524703132509231, 75.461895772816462, 76.994221152661467, 77.114455041865327, 77.450183713881358, 78.496371056021133, 79.652981585123754, 80.322171879978242, 80.342508504062081, 81.51982352939234, 84.068659889109327, 85.677836943971442, 86.004376040773607, 87.267112383249625, 87.45723682489384, 88.192869657140946, 89.802689767549481, 90.342839356041466, 90.913252700291537, 91.567431995291159, 91.861175510834329, 93.962265443546627, 96.738989805030727, 97.730952979630317, 98.129455198861976, 100.46109271942825, 102.38492907095352, 102.47803328452451, 102.66919461399198, 103.09664106031927, 104.09203528297131, 104.73477186018229, 105.33689790037477, 105.91122224856133, 106.55255517181995, 106.67442478624415, 107.64684099620277, 109.11019652549849, 109.70302278662398, 110.64158726418088, 112.65444432289925, 114.48237873577065, 115.14308418363906, 115.2041612471902, 116.36133164662691, 116.541837233076, 119.33228567063284, 121.60060464863589, 121.67045091830869, 122.11374701959261, 123.50627177148671, 125.37895948734385, 125.99191039467202, 127.27887210842879, 129.35269223970968, 130.35055555640554, 130.43975493285203, 130.70567548009885, 130.93817311090658, 131.09675870766364, 132.49777252127956, 132.5666786779569, 133.23291971968695, 135.67131607761456, 135.93469391944532, 136.13544620168611, 137.19758071361682, 139.07150742569033, 139.13775030516175, 139.51234577772004, 141.07591679339635, 141.3617974176085, 142.04742182132142, 145.25132874908684, 145.83318210332129, 146.83127800611652, 146.97309892591517, 149.06334348652783, 151.02137166454477, 151.39900968077382, 151.71048801437766, 152.66447298952491, 153.03129992729322, 153.47858447288462, 154.42753097579225, 155.53722192288069, 156.29488058664384, 156.33928368547674, 157.90683555109257, 158.21861094900447, 158.817488583536, 160.34474480092578, 161.57234567975411, 162.94867472969298, 162.99514586057876, 164.5387915540978, 164.96881324959583, 165.79893973608341, 167.45304289810787, 168.41858224327891, 169.24976191639968, 169.4509017440179, 170.11497537505576, 171.54321632699853, 172.61376255709149, 172.93521891360902, 174.0295663249035, 174.42679053569364, 176.04917745953637, 177.04848395486121, 180.90994035985076, 181.18577121445432, 182.66180439655409, 183.3408444130705, 184.04042542923608, 184.71019278903367, 185.95235138152282, 189.03433455624747, 190.68485322449871, 190.91369701199733, 194.45992424162569, 196.06517362334236, 197.4783202630239, 198.75344810049702, 199.15563072820291, 199.66849983195721, 200.53124420729961, 201.40588043863309, 202.86008904051164, 203.14959160827226, 205.96579675890234, 207.41194820909772, 207.56720266233049, 208.12154153130521, 208.40900907820793, 208.44739630844796, 209.25925931298715, 212.18270512710541, 213.57261467459827, 214.0448446887757, 214.94848273179156, 215.21450070085763, 215.24629012989823, 216.959921682757, 217.24333156858947, 217.75059786637047, 217.90146940636271, 219.35803090135425, 221.11502582307151, 222.40204428509898, 223.16252612582312, 223.6556764771066, 223.83589438182204, 226.01984332663983, 227.09847596474199, 227.57747822533801, 229.23524550680713, 231.3359300307437, 231.71334018896999, 232.34748591066804, 232.92257308064976, 233.66162111623646, 233.78600253482162, 237.72431111423319, 237.97092009468423, 238.0768547756488, 238.56303994042833, 238.97080577637482, 239.35641568529542, 240.18234903951202, 241.20970763959772, 242.29965064781365, 242.85689713263776, 244.04709493536737, 244.77527842463459, 246.4067627389143, 248.24140790502261, 249.43804116215716, 250.17061476940472, 250.70641215198589, 251.27516782923053, 253.15394134695586, 255.29826608070351, 255.41999629920625, 256.43590782396791, 256.53624638610449, 256.65410338872744, 257.58888666204689, 257.90175802554478, 258.7893401905522, 259.41907806230421, 260.78374718911101, 261.97288412382846, 262.52543097005452, 263.06704769967928, 263.31571355278226, 263.92564102765346, 264.26749395325163, 264.8321037181596, 265.38210900987769, 267.01098197408697, 267.21002776946636, 267.30564700088883, 267.82802848392112, 268.75269811439131, 269.42848420258514, 269.71466105069447, 270.00438504328952, 270.95510064100762, 272.63066553317975, 273.99546312730615, 274.12053972449542, 274.38295938255465, 275.01150815274616, 275.17159742750204, 275.2465677707699, 275.34908180702121, 275.95588396632462, 276.49140541241184, 279.06093551050367, 279.8057392374397, 281.23638223602535, 283.02226580438861, 283.2330355975007, 284.65239735000358, 286.00706688932257, 286.19966247157527, 286.43471145111471, 288.50487957704945, 289.99738180720544, 290.12720144576974, 290.85042351756897, 292.76837217612331, 293.58714027086734, 296.41607072130216, 296.63358630450495, 296.90579203817811, 297.70459043430105, 301.70820777353782, 303.05404868409971, 303.98000813173695, 305.21603841786401, 305.55375807137966, 305.63592008462086, 306.12647201273217, 306.44085725672676, 309.53977474220409, 309.82300052133695, 310.00615655923235, 310.54148705021282, 310.92674312540368, 311.51632923481031, 312.50888564427436, 313.82470206124344, 314.42556511281208, 314.82895306226743, 318.05743624010626, 320.67194348714634, 325.16077144288835, 327.86172980567187, 329.1358139600639, 330.436971842194, 333.82541229939881, 334.57856979147635, 335.54515367674992, 336.41776653643075, 339.99358073314318, 340.59820087521348, 342.13093669990388, 343.09958872977791, 343.31301271854824, 344.82718542592551, 345.60856001581584, 345.79326492539138, 349.65107075534513, 351.98469768760549, 352.2677425541994, 352.61601438036911, 355.07465296932423, 355.1735088018475, 356.89194288929269, 358.13117525922206, 358.84022045194058, 359.72862259060599, 361.05555059857545, 361.17373213092515, 362.25237237379332, 363.11623619808591, 363.24486359108664, 364.69955948722651, 368.41272600635835, 368.72273857444293, 369.71763993554401, 370.05984000303113, 370.17593071120183, 371.7669677306705, 372.25583483291314, 372.77306706894683, 373.90063656264402, 373.9890819230917, 374.83216312267444, 375.02136331230054, 375.65205050982075, 376.89924384213481, 379.65828049235211, 381.9967610578268, 383.56609082774952, 384.2077951506181, 384.42019235899494, 386.34740481175271, 386.41041397718135, 387.48366395486556, 389.23858270429497, 391.64243526442624, 392.413128851755, 392.56495681137102, 395.55482355773631, 395.90518339256454, 396.20880378189986, 396.31827410764157, 396.9280369502896, 396.9571413154635, 397.39441269111126, 397.8811593095611, 398.08265906396514, 399.30730847511842, 402.29579683439289, 402.79289527928796, 403.06223962017054, 405.33817020893059, 406.44168677875643, 406.8666650326669, 407.21855010249612, 408.26777230458526, 408.46739490316946, 409.10438081202926, 410.131814166006, 413.78926798903632, 415.61416037034644, 418.06097324384615, 418.85320914368288, 419.09891245008635, 419.68102115435858, 420.96633579333997, 421.59920531587028, 421.79435332550332, 423.09534772971921, 423.81015079973116, 424.18626564474192, 424.29420706907416, 425.29508239266994, 426.14234190856877, 428.78139888589726, 430.66248990362573, 431.47607598274033, 431.61841699653888, 432.98255382278029, 434.04423140016536, 434.92694736518342, 435.38835791849806, 436.65441376258167, 437.96647658899252, 440.41173225297905, 440.90982936631735, 441.50393080848966, 441.61120904189113, 444.81222163959092, 447.22165093185538, 447.49373233237662, 448.99773153545442, 450.22388298395276, 450.27467680693672, 450.94501950979679, 452.51798789799875, 453.21500280083143, 453.81755633208058, 454.27320211310024, 456.22313222348117, 458.49505345373433, 459.27391251735253, 460.40739354017057, 461.03229961084907, 461.62086908119534, 461.71073994103079, 462.21709083862839, 462.38006094377391, 463.07552386593721, 463.78154591011418, 464.210805123147, 464.66282777919201, 465.13315465947215, 467.41902125862799, 467.80121268022481, 468.58215882898173, 468.87010670516975, 470.48949019715207, 471.57971127131958, 474.28549629322998, 474.62623970136622, 474.77800859834105, 475.15065696947062, 475.74580535645492, 476.09519590563798, 477.4178638203648, 477.91214266771351, 477.95171429149605, 479.00483090327276, 480.68734593398301, 481.04524637913784, 481.20084628843767, 483.46758261294804, 483.59307077708928, 485.05001041929796, 485.32704775110682, 485.44085385158763, 485.57743773286217, 485.94755099232543, 487.15388247935908, 488.30287787139844, 488.4388071592935, 488.84802275079829, 488.99795705491624, 489.06645546562845, 490.28408754928415, 490.61739857397737, 492.00927080410821, 494.03978650100896, 495.7571917413739, 495.98384216319357, 496.09907745443934, 496.39924640417604, 496.56634539397425, 497.01927139322601, 497.06205507389194, 497.52098213080097, 498.02006125310004, 498.36907490596138, 500.71279740627438, 503.52893731458983, 503.57358922694266, 504.22846597915725, 504.88348517049047, 505.8159374360261, 506.66780763003112, 506.86970296931804, 507.94535011396619, 508.02970463642617, 510.51438660173221, 511.53825804628912, 511.77538833594326, 512.64588716028311, 512.94033763618711, 513.68508975627014, 515.86224439713874, 516.98950927639544, 517.27648975025079, 517.86407049994978, 518.01307520622515, 519.15447758230744, 519.57577447106121, 520.67300895911296, 521.84756285706806, 523.58466592469506, 525.22688512662967, 525.5751930312382, 528.75286412474679, 528.84886999223329, 529.37872873996287, 529.85865421963331, 534.72429532768285, 535.54367872847217, 536.77062743164652, 537.03617791374381, 537.658822985342, 537.90341070080262, 539.73753776784145, 540.4425806477002, 540.57772633469278, 540.82109109575356, 541.35476867142711, 541.85918992643337, 542.02773034275344, 544.55602280933851, 546.12805000708897, 546.90999752780544, 547.70426388760018, 549.4827235011918, 549.62851475520858, 550.60409317899041, 551.23253326938459, 551.282142281814, 553.81180627450101, 556.55760929875771, 558.90214801758452, 559.35386363108728, 560.31371693958567, 560.35463953584383, 560.89577275633701, 562.74906852197239, 562.9206624568161, 565.04462878927768, 568.11159851410878, 568.21460928944259, 569.1029529019055, 570.1576490628089, 570.25733856138652, 570.35429479130812, 571.05835945779279, 571.08725380910391, 572.27245137014563, 573.58676989146034, 574.23469532079969, 575.11270653404404, 575.16924448469649, 575.22628276107025, 576.29017822701053, 577.50313224592117, 577.75049411193538, 578.1795564471995, 580.01336990674599, 582.03345845548517, 582.27914715471206, 584.31064047195991, 586.7834229407398, 586.83484758790382, 587.04347432635655, 587.36420229417467, 588.59069821727712, 589.42237931519378, 589.8026052960272, 590.0362748050552, 590.36584268499087, 590.5692882787655, 592.8572481469165, 594.20788944855178, 596.04835783215242, 596.38381672497394, 596.85233430711708, 597.37076178410098, 597.64209081476668, 598.99489630130802, 599.66649344601194, 600.52260678799007, 602.31468298309449, 602.55563093411456, 607.40911647758207, 610.02733359563558, 612.20614112355804, 613.06871882344876, 613.15319821048297, 616.9142972379816, 618.06906077289693, 618.60818164587488, 618.63514277978686, 619.46050558561672, 622.42328975362034, 622.66232267045064, 624.40203443807457, 624.87897126137443, 625.27451595371542, 625.33290740756786, 625.731590856406, 625.9626125654006, 625.98313996238073, 626.32327146015155, 626.46967034967804, 627.30372247606044, 627.40728701511148, 628.27915495936691, 628.89926465528515, 629.60235392282857, 629.93364779326862, 634.33757058104868, 634.59352034323979, 637.45568563631184, 637.9055677616326, 638.03600360412372, 638.40481763756873, 638.73484753970695, 641.12260073492519, 643.40118603152246, 643.6542315064271, 644.84692976161978, 645.9994721650769, 646.80502072824345, 647.12178577802911, 647.33352868781685, 647.41151787807917, 647.93869829473113, 649.35759063917953, 649.42033939549219, 649.90711324077483, 650.49463275568053, 650.65424555177583, 650.97968061855295, 651.75318641115348, 652.85605141045608, 653.75128450247348, 656.71762897477572, 659.03191559374648, 661.08672573582749, 661.67490894324283, 661.69945071402606, 662.82591057956643, 663.03037437746434, 663.51377284082253, 663.77111851180416, 663.8237063033298, 666.71604473621937, 666.8278689471673, 667.55316003807252, 668.05604492612906, 669.2787349333463, 669.34180332548624, 669.51890540637862, 672.87468419838262, 673.79375021811131, 674.42781092989185, 677.2885052744449, 678.0020633587518, 678.14816054287121, 678.28076779746095, 678.3923306705392, 682.23975660470683, 682.34308267191284, 683.12355885622276, 684.28971475216542, 686.14650038387492, 686.20961595456492, 687.88985254605882, 688.45083561325475, 688.55407495984775, 689.11207930184128, 690.94130362816054, 691.79611628931252, 694.93519554864417, 695.80878740781054, 697.03543855578096, 697.58398303361628, 699.02508349437539, 699.05644979810165, 700.54301045527518, 701.73433136400809, 702.12285215358963, 702.48915481338304, 702.93341340968368, 703.56127308478142, 704.13474966207536, 706.54133455492081, 708.08986530667516, 709.03209148866642, 709.62358049447835, 709.96695375537763, 710.55575687212229, 710.75701043718379, 711.40552101147955, 712.57736744592512, 713.0029661511453, 714.65395742487908, 715.86719907854945, 718.58524435309027, 719.57512062633475, 719.63068326669963, 719.68371600308546, 720.32520530638863, 720.44789995439976, 720.52967857883505, 720.68886478579623, 721.09687268295954, 722.29408420196557, 723.86117808550739, 727.19812133317225, 731.04539052981477, 733.43507432599836, 733.67887330391352, 734.03033270523895, 736.56377583329618, 737.65425950050007, 738.17900364866125, 740.41840939780298, 740.6973543831258, 740.71823644706535, 740.82182533512173, 741.02109801165443, 741.20801601729931, 741.86962354586763, 742.33457577364777, 744.56642656005408, 745.58069641367558, 746.15293779030094, 747.4883336107705, 749.27212869598031, 750.22141073854596, 750.55444396167775, 751.32965115324669, 752.21463800782487, 754.74047234114653, 755.112857375668, 756.4010270294126, 756.61077271472004, 760.31394749303172, 762.70489851295906, 763.05283405919704, 763.24702134010602, 764.56341935310911, 764.8536978933605, 764.9829929611609, 765.20580891506722, 766.5249825970111, 770.65127889907342, 771.03292037532844, 771.1024171907668, 771.34901012166938, 772.73536731050194, 773.54301138455025, 774.05191741171791, 774.1898128288442, 774.45758180018129, 775.95840607296282, 776.03899684697308, 776.59493451233482, 777.73387313486535, 778.78938252496209, 781.67588274042623, 781.75005271411078, 782.56401017834958, 782.69113093983299, 784.08201126825622, 784.10966182625634, 784.81651376625643, 785.59408198176868, 786.74176584875249, 787.09475771370489, 787.1191347380211, 788.63564812535583, 789.00002068530966, 790.00464678437697, 791.16716501819349, 791.56799783885924, 793.01097362330711, 794.3884362227077, 795.76713766288992, 795.8166320230871, 796.0018669657394, 796.36101431735869, 797.35506769678545, 797.81022132212877, 798.20059845702997, 798.53519937454155, 802.466778951577, 802.72976301431845, 804.7652253565725, 804.93949020827165, 805.27581374885949, 805.74351673097146, 806.15980946316233, 806.2599777468248, 807.49154713249504, 810.67502863391917, 812.2618619621154, 812.55141940185354, 813.55323609015431, 813.80649004893962, 816.04859292078584, 818.55468951718001, 819.31483168696877, 821.00545778299102, 821.32427279105434, 821.36987144076784, 821.69281657894146, 821.79259725660609, 821.86631269099519, 821.94793406787255, 822.94083095337066, 823.44853225085308, 824.30082038653745, 825.31214033294668, 826.12299133544718, 826.25135687026409, 826.55883701881828, 826.86142842113725, 827.96528242800582, 829.82065169168573, 830.10559707760297, 830.27349821112193, 830.52669958964657, 832.26570248824908, 833.02478183259871, 836.20904634561134, 836.37496762511751, 837.12471686472486, 838.18196205925585, 838.94359279140281, 840.76801007071185, 841.44246879901414, 842.405779141474, 842.74923493687845, 843.01432693777326, 843.25169255994138, 844.7435032463286, 847.0719205131013, 847.46064357190835, 848.59953880090234, 849.25559215196415, 849.37182280448303, 853.51621197654515, 854.17432926154663, 854.41069945776155, 855.61229960124547, 858.64215138818349, 859.03396602788598, 862.40393507727811, 866.76000556943302, 866.89093233123526, 867.19495710641627, 871.95237819930173, 872.73522722267569, 873.664122885746, 874.73772459560712, 875.19372124271763, 875.3455097555925, 876.53815232429542, 876.69539142241251, 877.14720514891189, 877.92121944770486, 880.21640050290739, 881.87170233038069, 882.14926520232962, 883.05175337737182, 883.39791549044435, 883.89323926369741, 884.58443513912698, 884.90273830935905, 885.01641596290801, 885.11315012805005, 886.14066928452075, 886.92366455426463, 887.74698584582075, 890.13555922055912, 891.34739133383391, 892.05704245001027, 892.48890487260962, 893.07797827289141, 895.84148961881806, 896.03927848763317, 897.07923970081345, 897.15970564401368, 897.93292188192527, 900.5456819395871, 901.33086709634233, 901.5079220561297, 902.42238386378972, 902.57646790326646, 902.90821070449942, 903.23199968219171, 904.55493831704359, 905.91467828465329, 906.64744458368125, 910.01750238542479, 911.48185681999178, 914.42961501368484, 914.70283715048015, 915.385769522538, 916.7527677861832, 916.93108153858498, 919.98602393035492, 920.72922670521473, 921.33284243746755, 921.62093855118621, 921.93500739729654, 922.67402033512985, 922.7167768226841, 925.86454059031428, 928.28308870132446, 930.31100516004699, 930.47959479744236, 932.61921675227518, 933.770995664559, 934.99101674788812, 935.72460090988477, 935.90054495829838, 936.05815194534102, 938.62007546505697, 938.74813271171467, 939.85642551412275, 941.22606912045399, 943.78980052815359, 947.49231972676091, 947.98662518883816, 948.35319497896933, 948.86425738299909, 950.27331417838263, 952.89113230927273, 953.0265984970008, 953.67118715596382, 954.24299877976216, 954.53735422480736, 955.26353513987726, 957.13100700359053, 958.24045404312653, 958.34018989568517, 959.47954186242691, 960.94367489241404, 961.00470811437151, 961.11169798797289, 961.61508612584839, 964.23081673249294, 966.20993206887852, 966.39972920626474, 969.75989050061958, 969.84879702332114, 971.00061877760072, 972.70099981867156, 973.21645847507341, 973.29570607258609, 975.69617486977234, 976.64926588608853, 977.44491967208137, 977.90391635724211, 978.03759274616903, 979.60917995394198, 979.91977248977389, 980.16936296995448, 980.53774457141026, 983.04740175195764, 984.90501112991126, 985.13907280265028, 986.32478524917713, 986.36616057754168, 986.82139959783353, 988.52114027127709, 989.69352776933363, 990.28980966071981, 990.32799314082308, 990.60607645832727, 991.20042682237772, 991.6477605494307, 992.24538032960879, 993.29510094505406, 994.57670250986553, 994.80897354453361, 995.60017932546702, 996.14798553764695, 999.338585318632, 1002.5978742299499]),array([60.631802631881918, 63.76203013906941, 64.462807171077515, 64.992367931173646, 68.382250114151176, 68.648613453565389, 69.51881485619829, 70.604178715238433, 70.779859464502763, 71.652466321057958, 72.791167327440263, 72.85815234636469, 74.682692505064921, 74.847399396555787, 75.465897382191002, 75.581598423352361, 75.608680651653216, 76.052113635835454, 77.134979001453758, 78.33682178910405, 78.591374428689662, 79.426560408106056, 79.588211883392873, 80.008862495688376, 84.435956121762075, 87.03181656206462, 88.3402808256388, 89.761272567674609, 90.612774138948765, 91.350637776425927, 93.151571957644151, 94.499849133250279, 94.710962176631185, 95.735099379834068, 95.916426795085798, 96.349677653659697, 96.817959118667531, 97.038682058095176, 98.271366865043859, 99.572482484918368, 99.696548684888668, 100.65897691177061, 101.57312259589447, 101.93312213403533, 102.28396244614143, 102.45976225180384, 102.60193584923948, 102.75679169330053, 103.50482403318466, 104.91693067630024, 105.02348069962162, 105.30001699339532, 105.74931499491703, 105.97354824662285, 107.25934378579743, 109.57789291799709, 109.61436467766848, 112.88502077156079, 113.21869744816028, 114.39560449931516, 114.57945732184257, 115.13463472645142, 115.74203967786138, 116.05748412490854, 119.50340402208984, 120.01536504006529, 120.08191562464047, 120.27568830869531, 123.91102574822352, 124.85812640539176, 125.48864731721085, 128.39862996333761, 130.76655403739446, 132.51787126584617, 137.42104125342001, 138.34554037107165, 138.42729714963158, 139.09621642060614, 139.40095409085203, 140.13747778839485, 140.20047147468503, 141.14116877744806, 141.58659534341982, 143.11746948554446, 145.8173799815406, 146.99944939766795, 147.55986356209331, 147.94754080485598, 148.38549375670505, 150.37571464411258, 150.58236929025108, 151.43696719809626, 152.50522533681391, 153.76109987693832, 153.799039009588, 154.2371977674585, 154.48339879845346, 154.78408375115757, 155.08941083668864, 156.59872302182367, 157.41061415492788, 157.72257266243238, 158.62708733677599, 159.95266935842176, 160.24889155773175, 160.49474538338265, 162.62568192721022, 162.78532443541636, 162.84126544918018, 163.09149443755487, 163.78946170983818, 164.3572918701887, 166.72496747282915, 167.2770256784253, 168.52810167275848, 169.92486085273947, 170.78625674287227, 171.20753203534184, 171.78508644477915, 172.18128969922938, 172.71909859823114, 173.89780449797635, 176.88695904513378, 177.49913369857572, 179.11743989135917, 180.19241168657805, 182.41251253630622, 184.2751115162263, 184.73448332946282, 185.06491654059965, 185.93423946233062, 186.14239464445785, 188.26214452788236, 189.51263649188647, 191.18685031377063, 191.55810845701353, 197.89415626309633, 198.36021237001265, 198.74363123377012, 199.72425931410942, 200.91882848348141, 201.03620548083398, 201.6102299218615, 203.07590538332934, 203.18179958330765, 203.86069045441431, 204.30974786049271, 204.35604696378013, 205.75937503172321, 206.30370927586389, 206.52046195632497, 207.47719267438836, 209.24687456913253, 211.81574407495589, 214.1813662276752, 215.24037202343098, 215.86606980879247, 217.95946952065495, 221.70231532860922, 223.27312499829816, 224.57013925495136, 225.7235155975369, 226.38356100395089, 226.80100514525486, 228.69907676063301, 230.0196321237371, 231.95652085185719, 232.13816634041811, 232.51390366460475, 232.9788726650786, 233.44423527242733, 233.48493398447721, 236.13533001142375, 236.23397854147967, 236.26978615529245, 237.24905812410279, 237.79223768899769, 239.36462909199147, 240.28047037539096, 242.98329940472533, 243.03040059800142, 243.35818374199607, 244.46553241066235, 247.12602818998215, 248.01419761534589, 250.3387039849957, 250.7888046681704, 250.86225126199759, 251.11316216305906, 251.56336310288378, 252.41334317708009, 252.69346587876544, 254.48515541020706, 255.09180326222739, 256.46665151115803, 256.69738232592385, 259.19111282549181, 260.12903619328301, 262.02506538818784, 265.7159731058378, 265.85811779903668, 269.04666384852766, 271.08184195391664, 271.25909147729215, 271.60009390229328, 271.8527033929509, 272.67463350563662, 273.56589117844663, 274.11515450665604, 275.43390995550618, 276.09674293814771, 276.67516597439425, 278.42740946255213, 279.99570087674113, 281.80560533542371, 282.00120332893232, 282.43905982957216, 283.47687039038578, 283.52968875491149, 283.62016055946907, 285.30248272675533, 285.61819677958511, 286.02493039323394, 290.4764894248508, 292.26972328132013, 292.51343889683591, 292.66057799770363, 292.89806600746527, 292.97877643884038, 293.37314153817078, 293.56408336143716, 294.5991870106285, 296.4479477945282, 296.94776807813531, 300.9881756111576, 302.64138003223724, 304.59902266468634, 304.73089676168053, 307.41737533663098, 308.07974703963549, 309.89839906821669, 311.40738691381068, 311.68928123970051, 313.24063206482441, 313.50942013615168, 313.67781672393011, 315.13605706842151, 315.26983204240986, 315.90231065427668, 317.222820974846, 317.96706475619106, 319.06638542281252, 319.14127637518152, 319.53290328534274, 321.56279344967618, 322.08640562226998, 322.90708185235979, 325.76951368558872, 326.01381273579273, 328.87509177008764, 329.41451643021088, 330.0955763810033, 331.90349128318115, 333.04833752248385, 333.16706959258249, 335.53934962883869, 335.7800554350236, 336.74365283146869, 337.99771636514328, 338.59303901108757, 340.62568878306871, 340.86340035096936, 340.95496622290915, 341.92285878492612, 342.2051423024439, 342.38783574067719, 343.24614573264427, 343.29624048788901, 346.62869545618776, 347.55667876309366, 347.91127624710384, 347.99417628230441, 349.51961940016838, 351.05482112463721, 351.30540014501264, 353.04000718825648, 356.44960239684741, 356.97083222442967, 357.01860571552578, 357.21134373128746, 357.23422515073042, 357.39002260941965, 357.90635375062783, 358.33517498979768, 358.41218834471857, 358.67750631865448, 359.23829302334406, 359.89527086734995, 361.16445720805211, 362.38085285628733, 362.99664524673233, 363.28538830664348, 363.7066532594315, 364.00612943818743, 364.56481892456986, 367.44467691892299, 368.16547771111431, 369.2363142575461, 371.80480933282195, 372.48542963575949, 372.79501865866746, 373.1852021411143, 373.61767191440492, 373.80336968666774, 374.93957080255501, 375.80135099202681, 377.38537607000234, 378.53773162617944, 379.01674720829027, 379.16618552495396, 381.28920999245963, 381.34536980010978, 381.94582800175954, 383.76263106043632, 384.34769595471192, 384.40380658224819, 384.52820598482634, 386.08777858223175, 388.40992467307746, 388.53085050840247, 388.72786431994047, 390.3441309409007, 390.76240752612193, 391.32590032305342, 391.94503879590457, 392.57698598946195, 393.14735229998263, 393.92890517214533, 394.08572534384234, 395.05094344789114, 395.15396234310174, 395.40372406229574, 396.65703787747174, 397.36019974466222, 397.41480874949684, 400.70008999600503, 400.97582087631616, 402.34215988944982, 402.55261671338712, 403.30321200737529, 404.43185948527974, 404.87461516227717, 405.0343308432503, 405.29410397681755, 405.79627625395591, 408.20006985465699, 409.29823553622799, 410.58767135009589, 411.94193759429669, 412.09829706692534, 413.05281093597182, 414.45427422582725, 414.7215162166305, 414.88420667115912, 415.03449262852058, 415.32107404251349, 417.75479006802868, 418.1502333812067, 418.41600189334889, 418.46562154494006, 418.63225251604115, 419.73206356618476, 420.16124048725572, 420.24079610532385, 420.35688836942347, 421.00641062551523, 421.18236718337374, 421.21275316417302, 423.11606794955986, 425.13878238535506, 426.82455140511962, 428.024258162823, 428.590249524147, 429.64648453474376, 429.70767712365245, 432.87908099398788, 435.77564720029977, 438.07793885577922, 438.44772575729655, 438.53386851711952, 441.03344310406806, 441.60947115796705, 441.73720497074873, 442.13442721774038, 443.14253822951224, 444.9083361369274, 445.42890853740482, 445.91778516339951, 446.83451878782859, 446.8963501839757, 447.64205817554131, 448.61524986589728, 448.98835319001847, 449.60218754039175, 449.72153653042221, 450.31665968618762, 451.42219530128523, 452.68146997598416, 453.14634759484971, 454.84585089171526, 458.46432385287767, 459.27986949225277, 459.32937978133367, 460.12875792518355, 461.19026590836694, 462.15688566716898, 463.09228340041631, 463.37132331895958, 463.8002351916636, 464.40294028691233, 464.75612357541661, 466.04188523185366, 466.18133634954916, 466.41590106448911, 468.30728698819081, 468.61865037948189, 470.64709846851628, 473.2403637599021, 473.79225721061533, 475.24111829178401, 475.3122502887939, 476.66409607388698, 476.9440863578314, 479.28037545099926, 479.9115539227858, 480.0354945714804, 480.40621613258298, 480.55468973370574, 482.77678998482202, 483.66632305976401, 483.79925028672085, 484.12547607777771, 484.21914524003114, 485.27969732926675, 486.10815062918226, 486.41204737005512, 488.15910002350523, 489.28754987404477, 491.66719595536716, 492.59863778244738, 496.76565735767861, 498.40446480883213, 500.03826461117779, 500.12302415209558, 502.14236390397576, 502.83213724864368, 503.30658430135139, 504.15385346004678, 504.50427805350813, 504.6139668991745, 505.54810494174723, 506.65974158412126, 508.6116695180279, 512.17998461883258, 512.83151617235308, 512.89812934190832, 513.42498198295766, 515.46510927119903, 515.71274240874845, 519.2090026083672, 520.42748691262398, 521.84129035742012, 523.01600981435774, 523.2556746634051, 523.33833486840126, 525.79620507650952, 527.32682618604622, 529.22896095955298, 532.32424728760282, 532.61000713831947, 533.78604665727551, 534.00569895510989, 534.62047882438355, 534.79099411154664, 534.92007533831145, 535.09367713279755, 535.81752748932956, 536.50129980666429, 536.53399675613491, 536.65927281142069, 537.76810518736306, 537.90383650476997, 539.46307919794867, 540.46629085093923, 540.58212026892897, 540.81022140462017, 543.8132329786115, 544.18452464123891, 546.43830101833328, 547.01863014347816, 547.93850156517124, 548.78465935167685, 550.01724555688588, 550.47501312173836, 550.530711696916, 551.48604466901065, 553.05184031607337, 554.03843578560941, 554.29170462359855, 555.94963529068355, 556.51881358821902, 556.83901745843286, 556.97633492861473, 558.12933756437008, 558.54472620355648, 559.4752438908456, 559.82849937149194, 559.87185987947919, 560.04694003849386, 560.75454358448076, 560.89926045350865, 560.95685346001585, 562.23449645334597, 562.99309194807381, 563.70105073675199, 564.09863809868841, 564.32184204245436, 564.63666736368384, 565.21449578534941, 566.36198553211273, 566.51679296427983, 568.74543917443577, 568.86745293806882, 569.46812554361316, 572.16584457789361, 572.39636781183503, 573.53921949875212, 573.56253334393671, 573.86489939520186, 574.479189231904, 575.82564605575249, 576.23064985578389, 576.68946673075982, 578.44614699166937, 579.64999093103052, 581.8882603236226, 583.86955648788125, 584.93167652021157, 588.85774782557758, 591.38329321102526, 592.06642529338308, 594.01338948384182, 594.33002863368813, 595.22806202028926, 596.21104198415992, 596.23273194412366, 597.48831665568764, 598.08475899489724, 598.52960016756606, 598.7957814358424, 599.49916592276372, 599.74867108691387, 600.33341142786605, 600.62103651816199, 600.71665349398972, 600.84221433814741, 601.3527666408495, 601.49363498677133, 602.55015664915675, 602.5941662243979, 604.54258909842042, 604.82443038102713, 605.36654213957593, 606.08289797446378, 606.28407277434803, 606.34577788802369, 607.34961058160707, 607.82525248540594, 610.0137090252822, 610.57466130722764, 610.82890353107894, 611.36603508529845, 614.33621182737727, 617.82418962715201, 617.94665854623031, 618.18214418321998, 618.79560828842432, 620.12312957543827, 622.25590290190883, 623.40806845688655, 624.15370683245931, 626.4436994029179, 627.10294507519802, 628.83088417415365, 629.94544436607987, 631.23903104420469, 631.76400019743051, 632.39983062218528, 634.079605707307, 634.35663635953949, 634.84005477594337, 635.58114034725338, 636.03857603803897, 636.17459557635391, 637.80660340805173, 638.27542820163001, 638.38944635163534, 639.0820377846303, 641.00986040975647, 642.27534899098157, 643.0323829743088, 643.37619695589638, 643.46804233311673, 644.79454788557632, 647.32686320196069, 647.86249605441105, 649.64526561560569, 650.68462962134618, 650.7776025025936, 651.05196285693501, 651.36972111229284, 651.68169795388474, 652.17434057278103, 653.450506953277, 653.97605651590663, 654.05877149586286, 654.33516222232288, 654.97828949937707, 655.15265414082774, 656.28575377836489, 656.41094597306414, 656.90839663669567, 657.04130862466957, 657.48470925574622, 660.99116745118306, 661.54423906778584, 662.76810387134447, 663.01750099289188, 663.14295119495489, 663.52332209078691, 665.36608521619098, 666.64876723589759, 667.92565996845065, 672.15473238129277, 672.37208234479556, 673.6067129667266, 674.55561803110686, 674.61878746441323, 675.42760209605547, 675.58210559039719, 675.65138730223475, 676.23482114413866, 676.8057610099404, 677.00242923192252, 678.26037621780949, 680.21466177019829, 682.49405296955001, 682.52380817382038, 682.65236313333287, 682.98575678917416, 683.27794133367513, 684.16931936070614, 685.0292952098531, 685.22438600544467, 686.23155139386267, 687.35404843624019, 688.01786619873678, 688.35385212202323, 689.15710512439614, 689.5353543326811, 689.69247194251125, 690.75336138134628, 691.25038336232649, 693.26028692523994, 693.33898080032486, 697.2473264204624, 697.42227456550586, 698.21051209674158, 704.70929667493726, 705.66738262968397, 705.69898376840524, 706.00426367275952, 711.49156733411417, 713.38088121716567, 713.61959810401811, 714.93728051135008, 715.02487548968452, 715.44924749309223, 715.49770683582813, 715.8110660511461, 716.56188512960227, 716.84212226093825, 717.20720473671963, 718.39767593316003, 718.95126306064003, 719.43730343333823, 722.00783715348803, 722.58017765053341, 724.26730732789633, 725.54582615317281, 726.28803792748681, 726.67725307097578, 727.32622369319563, 728.18993651740777, 729.04573939538795, 729.38026762064749, 729.7638183558521, 730.3291902945989, 730.87144799271118, 732.13802665848561, 735.26086261167234, 735.32266284605009, 737.31037431792709, 740.83611175683745, 742.06480576066315, 742.44521418936597, 742.73740874107921, 742.84000438041255, 743.52225897259211, 743.68594133369811, 745.32689303413792, 746.45100305317033, 750.31769939089145, 751.12053466964949, 751.63292827642431, 752.84051903126101, 752.9616526229953, 753.0281935501423, 753.76715866036307, 753.96430471973258, 755.32432090600878, 756.15113749750572, 759.92721963747033, 760.56080446816304, 761.37361096154166, 761.64016266538749, 762.73366953444577, 764.00956274038856, 764.95861256793023, 766.94911956603255, 767.19427634478552, 767.26007664198085, 767.78953131947026, 769.07018873644984, 769.72591761661249, 770.17941367924084, 772.02611101681578, 772.12751730845093, 772.44448982307972, 774.07341446641635, 774.30037708563577, 775.92924736769487, 776.39162560528416, 777.86958847220365, 778.7817585533312, 779.85890577221028, 779.97739433844106, 781.3648185645045, 783.29329108312629, 785.83262754628208, 785.8843446701942, 786.44256040811729, 786.61856924999142, 786.64523338061383, 787.33979154599024, 790.79865474934718, 791.32194439530883, 794.12339894396791, 794.25331351718705, 798.37595688065085, 798.45046809426572, 798.94749024701332, 799.62560812193044, 800.31250362284356, 801.64550427806876, 802.28776294247314, 802.56821838029532, 803.32603163563101, 803.85122378298968, 805.52663358841255, 806.05138720192554, 806.13455497806103, 808.94472380678178, 808.98869256924468, 809.06341882133268, 810.01646165991394, 810.06778856764527, 811.11712669629856, 812.37962995673172, 812.96145022985058, 814.94015772471698, 815.38816245904468, 815.75026241765329, 816.62286545094537, 817.68594589888619, 819.0783833151645, 819.2604844926268, 819.47294039549195, 819.87769655379986, 819.91549271802057, 822.14786296899103, 824.41353357323385, 824.60230807768187, 825.14190028392659, 825.45521372242956, 826.58540211705656, 827.25618091529464, 828.03337478462754, 829.84608262362156, 830.08957798957397, 830.46857268025894, 830.67037410050227, 832.27775369505332, 832.33663552324697, 833.56242820427087, 838.56118860742674, 842.04114157695165, 844.09112486841082, 844.79747977969669, 845.11628874128996, 846.20194783365434, 847.70169207652236, 851.03641624428064, 851.56182843940826, 853.37745150617684, 854.74844843020367, 855.11157694891756, 856.3144882661752, 856.49079348922749, 857.06650209420161, 857.9737939313917, 858.13884009224546, 858.93646003267713, 860.76414387075283, 861.87385550412705, 862.93918089199065, 863.1805316057621, 863.59484511893959, 863.97499423319243, 865.47366888427609, 865.70331327387703, 865.81933610624094, 866.97610558264296, 867.11636294982088, 867.49884737417767, 868.02927834522541, 874.28847204323961, 876.45936922905435, 878.90485867581219, 879.84422141609389, 880.8911384087113, 881.49153742334136, 881.760400241409, 881.94870441122418, 885.29187999267469, 885.71078192165635, 888.85411752785501, 889.07156503225895, 889.61105976663725, 890.53423764522086, 891.8612890458287, 892.13932638631479, 892.80560469227032, 893.18797595386684, 894.98721400595366, 895.59119323426216, 895.69124025252279, 896.33153656950287, 897.23710458208745, 897.32539625599179, 897.41735031415408, 903.15829470765152, 905.35374207450036, 905.46650599700638, 905.63364340390081, 907.34924587576916, 907.41977772801488, 909.12596384851383, 909.37982818969897, 910.69660111887265, 911.06879650598853, 911.09699013138777, 913.90801050438438, 914.4287013783395, 914.91971238437043, 915.8490875379739, 917.001914939117, 919.35101482953394, 920.03745980368808, 922.12329065371785, 923.51793091711932, 924.90279069417409, 925.54961774912965, 925.65718025149954, 925.96301666891804, 926.6829759929542, 928.22509673428476, 929.67496552741841, 930.15837500875932, 932.55791570262591, 932.71011137962194, 933.45151621366813, 933.73693079614668, 934.32680028713105, 935.45588767710512, 937.09878099726654, 937.64235342554298, 937.9119777540991, 941.70443619249636, 943.04458282119299, 945.68619093918574, 947.12254497557376, 951.64873218908485, 953.02297386616101, 953.27049403921535, 954.00913001534695, 954.31880804478146, 954.41807072834786, 957.71586321528946, 959.52807954959383, 959.56328974750909, 960.14691618388406, 960.76244513610607, 960.833182694588, 964.45082928073475, 964.79272908637256, 964.99088726336777, 965.71592893755883, 968.10591682714778, 968.2445697041378, 969.8209506977654, 971.4423089895331, 971.84384515283853, 972.32989633839918, 974.08841597500259, 974.75416788774157, 977.83306940476166, 979.29603848557451, 979.41532482702974, 979.51378080078371, 979.53829462268823, 980.60475739564299, 980.86586063942889, 983.94794508876612, 985.56460537809971, 986.76184872937392, 987.08280329209913, 988.6519643866709, 989.05562918941393, 991.65539320305652, 998.75752119242168, 999.38040414978889, 1000.6840027956929]),array([96.691124669783619, 96.943038870062551, 97.414849551616157, 98.473724813641084, 98.795895364996909, 99.978404747140175, 100.69759337800451, 100.82733621033361, 101.58846338595293, 102.27576352503517, 104.5529399046512, 104.90876383886612, 106.02469314037108, 107.48302020949843, 107.93604828610223, 108.00246127882835, 108.3383501601467, 109.29556957345031, 110.01373383629699, 110.04832933310982, 110.48258999481605, 110.80082889534326, 110.91281481380071, 111.25817016991104, 111.47990491662887, 114.62865778281407, 115.64495156334345, 116.79825864896861, 118.45084282381731, 119.77183885977172, 121.26595061364944, 122.8258928020407, 122.91831320172061, 123.42273793364161, 124.15247936684712, 124.18594912284286, 125.68394559239069, 125.72748448016769, 128.80699733686947, 128.92882505586559, 130.21263142448078, 130.2851070561839, 130.31080647080651, 130.36266746246375, 131.64227967926087, 132.05633550162105, 134.64702997141256, 135.49398624060183, 136.97272163962288, 137.19436218000274, 138.04897431739013, 145.61844238715065, 146.30894265160882, 147.87044617888264, 149.52181238538768, 150.04303252852137, 150.227195952789, 150.35507594209656, 151.66747596519744, 153.35434611594061, 154.11673082249663, 154.51601258519372, 157.46307000758898, 159.79293003013987, 161.96784629714438, 163.09327486612514, 165.07603065879795, 169.06745456393517, 169.6997531127906, 169.99622691723931, 172.14332865599695, 172.20190623867089, 173.93179578770918, 174.56765150216401, 176.21191492098231, 178.10087535186338, 181.82843157596085, 182.91029216191524, 183.01391347664415, 184.90957213036225, 185.42229219452199, 189.21038024691612, 189.43731740144435, 190.68953900451928, 190.96668990081855, 191.69539359815263, 192.05411703293467, 194.54469598797655, 194.75588496242227, 194.89038759032641, 200.19195807157371, 201.54341162768381, 201.95452898649626, 203.57504603374139, 205.77656768104282, 207.25832144013779, 210.68592821253625, 212.57454558599963, 214.22581672364186, 214.54235252977267, 217.94931411256573, 219.987358897283, 223.17431049863575, 224.23437460859338, 224.31445754149203, 224.49137944756993, 225.37847485395491, 226.62032608243771, 226.91458792053481, 227.17979022412379, 228.08463957797289, 230.64299698375311, 231.33008713798625, 231.84088180278246, 233.21927724718228, 235.70510256896694, 235.95798091620767, 238.78535515925697, 238.97536333847066, 239.51827656475402, 240.15531342231688, 241.83147013657529, 242.13584353130304, 242.48299161973841, 243.34245064358612, 244.73783029962289, 246.61857061088611, 246.90957350139655, 248.79833912942996, 249.12658837337469, 251.31713341821489, 251.49428164182737, 251.77958698620571, 252.24834852125062, 252.8710858050776, 256.81625172223397, 257.84816011123598, 258.57615075646709, 258.66233454618521, 259.6509881312943, 263.30205422095622, 263.83828606073274, 264.18390017429613, 266.14757888089269, 267.20183381541148, 269.13228072020638, 269.20841275967558, 270.99350722727388, 271.07764040616775, 271.1998903361478, 271.72056137801525, 273.20188759758554, 274.57629777259558, 276.0841414583079, 277.3388684304922, 277.87435995347721, 279.30159892394414, 279.41403256837651, 279.91469254626929, 281.11951233630492, 282.31957794991581, 284.20538563381336, 284.28605350162144, 284.80468086752501, 285.64546509825976, 286.64416504334423, 286.84341342994975, 287.55992284953203, 287.7449369131117, 288.40224490827944, 289.47959651904932, 290.48453208635829, 290.84255882367864, 291.90046309472649, 292.01106498760254, 293.51135698672334, 295.61519273875115, 295.68099547337613, 298.79639314357314, 299.06024138564544, 299.62666086449906, 300.97723125409942, 302.06245454024747, 303.26712874869298, 304.70494036559438, 306.29444055499357, 310.39085485308709, 310.73744448007062, 312.31007185007235, 313.97393252417754, 314.61177483318806, 315.50844789815432, 315.56826743024669, 315.75009226641134, 320.06242259291855, 320.30009889836214, 321.22758962958187, 322.84925640804101, 323.4298501403718, 323.92850289093531, 324.00435962489627, 324.45697102820043, 324.94317363727259, 325.1227414439054, 325.57585697972206, 330.13164198592227, 330.6401631311137, 331.39199166319514, 333.18816924881338, 333.40742126138616, 333.88674306772981, 334.05721586419912, 335.70245736519877, 337.91048497412339, 338.02803080831478, 341.08729651890104, 341.26268017484819, 341.98912874874634, 342.62408149899846, 343.37347906109619, 343.95580817719764, 344.88099517954726, 345.96193568564973, 346.68586343171296, 346.89902703090917, 348.09065189712953, 350.23848171107079, 350.95373470335119, 351.72635726738343, 352.26661707671872, 352.49275904843103, 353.42910392792186, 354.55061088783981, 355.46001818640457, 357.30078636469244, 359.2866853447843, 359.75349262307503, 360.29543396212875, 360.46058091040783, 361.92397366156365, 362.3223541934002, 363.73862256360502, 364.0294111642865, 364.09661512269332, 364.40225499274669, 364.91041167792707, 367.56097845610827, 371.30921671104107, 371.68801250252022, 372.61187051144367, 372.86201697457511, 374.7211526876838, 377.12420954731624, 377.29036540157244, 378.30354566960551, 380.98332025844809, 381.64277496145519, 383.79586761878414, 385.13579624172246, 385.44730575030673, 386.31511691905183, 386.88202817466663, 387.41516030656339, 389.02829529890624, 389.6051612759104, 391.18082569132901, 391.24897108315622, 391.30720969741901, 392.01139022899872, 394.73671437673266, 395.9992233531147, 397.95170106863065, 398.50116647025999, 401.14127969964807, 402.06279260208447, 402.23656091525868, 402.58768391270166, 402.83592176104696, 402.94239718762509, 403.26303618447571, 403.37467094012783, 403.95834925024297, 405.51924334761793, 405.7162437927467, 406.37687872497384, 409.04516853127745, 410.1049500986669, 410.67574685454395, 416.97838267410293, 417.1453837652424, 417.39564386086653, 419.02102851539581, 422.76945442777918, 424.40121176236897, 427.96013138179239, 428.21233957607518, 428.91745986325168, 433.76878156778179, 434.82452512147347, 435.71356539531672, 436.70635044256557, 437.31036628713315, 437.83824536656124, 438.92719144547681, 439.07260104243852, 439.13310992243061, 439.85254210746757, 440.82800813788862, 441.2343759169421, 442.89982691136959, 443.26778286967129, 443.4347709657813, 445.28665951001477, 445.77816169249286, 445.84682575446755, 446.46179785994428, 448.65639425256393, 449.83686347448617, 450.56048393815666, 451.45987506769148, 451.65246411446003, 452.01294554914733, 452.81974139897454, 453.24462636137565, 453.38487685760134, 454.03236322323107, 454.93163563693037, 455.58720293980303, 456.71670302021226, 456.93248184507593, 460.70021549739278, 460.97574071078617, 461.04866004415334, 461.71024345494595, 462.28874435561971, 462.64527218946256, 463.87450354729242, 464.42346700326681, 466.07070718690045, 466.16674301352947, 466.93580678869449, 468.46152671459333, 471.8868877358982, 473.45320126543709, 473.81497596292468, 473.89079864648966, 475.45045214211285, 477.79864335741905, 478.0129847191584, 478.17944903135657, 478.90984931962788, 479.01845115033035, 479.52848455846652, 479.90072240509562, 480.38789380489521, 481.29233614545791, 481.33319433013077, 481.88520836846493, 481.9707340397772, 482.9380383240744, 483.1970575644462, 483.40751128276332, 483.47014451050683, 485.49653774588825, 485.75904086519415, 486.95484361777665, 489.48870038688852, 489.58848276721989, 490.85289300553029, 491.75063794861262, 494.45216648713551, 495.96052162298042, 497.85192272588966, 499.32548711838041, 499.68870386427113, 501.80621820819471, 501.83590081008577, 506.05957344059902, 508.11555823723376, 508.54706525952986, 508.80528790873984, 509.86362655444066, 510.48210565880646, 510.83131875042648, 511.12838808660939, 512.98104609625761, 513.61288507952747, 516.18878162638225, 516.21716669846535, 517.25097438806358, 518.17085521880188, 518.54510420609165, 518.62685126032534, 519.33905533273821, 519.66208983572551, 519.73976771332821, 519.82015930144644, 522.37935247057817, 523.08757287809283, 524.25949527473176, 524.72785001502893, 525.56184470037226, 525.65312755919467, 527.13043646813219, 527.25680730923034, 527.53309555838484, 528.17382198615098, 528.87176785531722, 529.02888202288568, 529.52958911676069, 531.36457919386658, 532.43276439035185, 534.20540595094508, 534.58583128190105, 536.28095870726429, 537.54368618975684, 537.89645211863069, 538.64979173737254, 538.95590173337723, 542.09540312790887, 543.31786399861198, 543.51761569167923, 544.12921032022473, 545.66497864089479, 547.67146611967075, 547.77016153113732, 547.9452860865955, 548.4997863226497, 549.50365224585755, 549.80099110757442, 550.03096137536363, 550.23163687406611, 550.64389170352058, 551.85224071354605, 552.25203952895686, 552.85149830274668, 557.5258502559949, 558.96013196276158, 559.21570337424669, 561.13098144267713, 561.50166915020816, 562.47101887880387, 563.6943954032181, 566.76765316135527, 568.20345086007467, 568.23191970008588, 568.31447400013781, 568.36680701836065, 569.87118722316166, 571.14750087348284, 571.97822134007549, 572.53957533949529, 573.15348439850493, 573.2629177879445, 573.77181868939601, 575.46740187648675, 575.58663908786741, 576.17069991106007, 576.57488769481699, 576.89152745085073, 577.5306764781435, 579.97981943242598, 580.46035401172355, 582.55139901034329, 583.69835572245699, 584.98316585935731, 585.31063930944185, 585.3885263744628, 586.3261415166287, 586.58584953707941, 587.69178034806987, 587.99625995756969, 590.06159774259015, 590.15486228789109, 590.40890498042847, 590.71834879398091, 590.85667120108803, 591.63844139854871, 592.27323715702403, 592.70543254315157, 592.82141649148912, 594.05764769872599, 595.5701220539803, 595.60180193837846, 596.07834265631254, 596.3113224331114, 600.28230397857646, 601.144715438562, 601.45010219624203, 602.72337585707294, 604.4695572555878, 604.56009753675835, 605.136670439814, 607.13969339302434, 607.63982356620318, 611.27144848462751, 612.06907577929644, 612.84852283993212, 613.64737058005346, 614.74000641282851, 615.54323111653218, 616.46458173945859, 617.01772491899146, 617.2219032486471, 618.62218271515712, 619.68121047405782, 621.40672408854562, 622.38214275667212, 626.49586990975388, 627.11035797811803, 628.67338470877803, 631.82952450220557, 635.08128783839118, 636.03996981794978, 637.0418836367619, 637.2303671016881, 637.44899754343021, 640.31003866008484, 643.80093514533542, 643.88807242394103, 647.20119679965012, 648.27651800285651, 648.96397296119142, 650.21646937183982, 650.60719191645239, 650.80036442131131, 652.85196542469521, 653.41254986552701, 654.92942208304703, 655.29835960552953, 657.16539572723377, 658.16969809734701, 658.26434571811353, 658.93016995863775, 659.13592461860651, 660.50604098029919, 661.57856321335248, 662.18255279462255, 663.95897552965164, 665.09850928704964, 665.34163743008571, 666.86141931503528, 667.41454398347378, 667.62788264773053, 668.13290359739926, 670.0072570596501, 672.48754529306655, 672.68828086105884, 672.95427620033286, 675.36842373706895, 676.6008743751463, 677.23754010799121, 677.34401241299065, 679.37270373658907, 680.37473623556991, 680.54991904204894, 681.0461803093765, 682.24038755854644, 682.27947488188886, 682.5388637070015, 684.21247947125585, 684.47848509075936, 684.85710084153777, 685.03147997609858, 686.39699966959233, 686.91749160538564, 687.01579577456778, 687.41668833988808, 688.02813271785953, 688.72358037113497, 688.96125745425002, 689.6682907770828, 690.18792030142515, 691.36181163088827, 695.3947204392241, 697.02884459637369, 697.06138355342944, 698.09987483870827, 698.69975485199325, 698.74653251529378, 699.81520177473567, 700.9627377543278, 702.62054473464525, 703.69287132159548, 703.8834261032805, 704.78334690925738, 705.54538998910857, 706.1305051013851, 707.82923430070309, 708.76442462907153, 708.98907556897461, 709.16551469930573, 712.31193870691243, 716.61850272669881, 717.71257241935871, 717.92696236112852, 718.25590132593186, 722.64647717579305, 724.15251372206171, 724.50871177578449, 725.05088725468192, 725.17955170148889, 727.45399185646352, 728.29269917263014, 728.85021107202965, 730.15993944275317, 732.26697773966464, 733.21107852832654, 733.64782496900102, 735.11814327205855, 736.61462801763287, 736.97554862428399, 737.3813378570452, 738.39255408549968, 739.61055429861938, 742.6657912494868, 742.89367087524295, 744.167500170469, 744.43711875174563, 744.91582300920504, 744.97150307682955, 746.72819529801654, 746.88412162372481, 747.1435878089884, 749.57741304243609, 749.88258187227575, 750.25094935161019, 750.57494896330013, 751.89768090007396, 752.54172246164148, 755.92935125733675, 756.7108433965567, 760.46885053373364, 761.31321500907848, 762.90079972196327, 764.07081705932433, 764.67048128287422, 765.17828479652258, 765.57300656440668, 766.35011609861203, 770.0118191238729, 770.88875267578669, 770.95792892339034, 771.39144053561472, 771.92322001241382, 772.72531133428674, 773.37715610964335, 774.94024006361474, 775.06725284019592, 776.40991449888213, 776.74664475654572, 777.77840052437398, 778.26793768042603, 778.49293236684491, 778.71152204460259, 779.33108804219614, 781.11550125848646, 781.36150224518076, 784.23170637535475, 784.76989257768469, 785.24104862881904, 785.86599047682046, 790.44944486624843, 790.758154494152, 791.00887216111505, 791.08367850864181, 791.78239910249101, 793.30736092194718, 794.12451160196815, 794.42595281010858, 794.49160489456403, 795.1455566828472, 797.52234347545595, 799.18845089959564, 801.2444372618246, 802.99920392937065, 803.55706405876469, 803.74297065048086, 808.77198575099942, 809.42155942307579, 810.57756364370084, 812.28604306911893, 813.21994276142209, 815.56948253472956, 815.91948885102329, 816.11229887231275, 816.31677065417523, 817.96964763915196, 819.01917403519235, 820.17637753775477, 822.70792423529065, 822.92138044974581, 823.58178482125572, 823.67813821740526, 824.16487846515145, 824.90435343803006, 825.05796759749853, 826.07764255374718, 826.28041130917802, 826.60580837788109, 826.83238193676664, 826.9684490972636, 828.58139625671276, 829.17891177157389, 829.4915706863934, 829.67628956265196, 830.61764812463628, 831.09331870275219, 831.19384966270559, 831.60738210458624, 833.68425865521124, 833.70746439614493, 834.39382671521548, 834.77055007010517, 835.69931814059612, 837.57772955481289, 839.43528078547604, 840.53426782434371, 845.14514771522397, 845.33823411541198, 846.2350915270838, 846.91265980970877, 847.95617413090156, 848.90736855239345, 849.70006772615261, 850.36445949067229, 850.6609654432965, 851.1036407222681, 851.23760199190997, 852.73713838762046, 853.03263154596698, 857.40935555691533, 860.60133130538327, 861.94915651722442, 862.19788287753499, 862.68262008977626, 862.89545312088501, 863.84500441477439, 865.94900569419372, 870.10418519676875, 870.40772960771494, 870.44882330387622, 870.91294267082617, 871.03757977759244, 872.2644939428593, 872.75336546868016, 872.93196516333944, 875.06470489205583, 875.11222371156043, 877.00886375486516, 877.04710297255383, 880.63685760694273, 882.40423592035165, 882.8817955327653, 883.40111020611107, 884.90442016325562, 887.56298900975878, 888.10132939664993, 888.79654050746751, 889.84427624632815, 890.38328828833073, 892.21705375324041, 892.94316565614008, 893.5519063527413, 896.75479653512139, 899.99013427481236, 900.31747394088563, 900.50637373139591, 901.25860443133456, 902.20657603229165, 903.28642939015731, 903.40366709047225, 903.7137190392607, 904.45518671748641, 906.25517632853041, 906.31717106450856, 907.27403216072537, 907.53225935322121, 908.09879280493703, 908.18803996408917, 908.24637514904691, 908.39694774178474, 910.60199125361021, 911.5411126056166, 911.64400211004647, 912.46002623149116, 921.07447134392703, 921.82531117640963, 922.01059047583908, 923.20370451434167, 923.28224973923295, 926.85172314920464, 927.08392228199239, 927.68551458835725, 927.72281987221345, 927.79026418742319, 928.24157782218799, 928.46339415743239, 929.83571180769195, 930.27054732799331, 930.53344012930916, 930.84502178538389, 933.23461223709944, 933.34642631895281, 936.45523840083854, 936.62005558593978, 937.27552643125375, 939.73900747673724, 940.8926409321175, 943.83419187960828, 944.11888505639297, 944.38133331649306, 944.55366540385785, 946.06557855948631, 946.91146862847995, 947.43858987521867, 949.06415617017376, 950.69200219032552, 951.64629031039181, 951.97654783834219, 953.78648297538678, 954.80773760483862, 956.07548423037179, 956.66301596527535, 956.75530424585804, 958.91373914724591, 959.34778840020203, 959.8666115105118, 960.65590517063617, 962.12331249862905, 963.8376897525734, 963.94953231037289, 964.1404406879725, 964.76517615321802, 965.73588430659038, 967.7115882156213, 967.95317021452638, 968.98978411674489, 969.68973976234804, 972.55176152720878, 974.02555134796091, 978.53902691724079, 979.53217130239113, 982.33047160763158, 982.75914216592741, 983.6333170039062, 986.09879880474489, 987.55741412710461, 989.48012150136572, 989.65082978771375, 991.00853062047383, 991.10919859338071, 991.69550773869855, 993.00768324355101, 993.60781439708978, 994.91837814061182, 995.46915897500378, 995.59824370304466, 995.90756239122072, 997.5176834266432, 998.48819357795969, 999.61802322956305, 1000.470107571883]),array([53.867301022471061, 55.679277708676764, 56.938742022496761, 57.407469809192207, 57.756310722481665, 58.057993318128986, 59.075199509988408, 61.766671185556831, 63.02295869062911, 65.990096154310876, 66.980365417273148, 67.712384430839791, 67.791528722258391, 70.924144958856388, 71.584045340354308, 73.262308493627771, 73.343541942201881, 76.083085865863197, 76.17014793194447, 76.779951835866513, 77.108629635354447, 77.408672001055507, 77.788050616266631, 79.741523314973378, 81.055841183645342, 81.470052117277689, 82.103787855908166, 82.72124625574908, 86.827861244157447, 88.383453308576875, 88.86196549179644, 88.912025938980122, 90.034032653084694, 90.641234330092914, 93.249067068226992, 94.159935043894649, 96.596752119308519, 97.561359573812624, 98.764657756334913, 98.904700181003761, 99.354593843255046, 101.08378167453569, 101.13320379158633, 104.74152908536578, 105.08767424640587, 105.23054577960413, 105.53672698874861, 106.47753120664004, 108.6772154021527, 109.15566073070458, 109.32460962092651, 112.37458702464248, 112.714741474335, 113.503591216744, 114.76379330633976, 114.88461030674196, 115.03657750452768, 117.33292691998325, 117.44067103914742, 117.5959220630433, 118.11484294296842, 118.27788221249365, 119.41952458398589, 122.03867734506152, 122.46604069191943, 122.50207464750231, 126.59193508775004, 127.13219407077185, 127.19207304337887, 127.25998839815949, 130.0561241603003, 130.9974804226631, 132.61590377252855, 133.3435844679357, 133.95198367775848, 135.01108569341892, 135.49523523624782, 135.80934559493738, 135.94509915216415, 138.39915716453604, 138.89290528505873, 139.54967828890494, 139.77839282013386, 140.13096920128086, 140.37632149950173, 141.39076849064693, 143.582442184451, 144.17038299444053, 144.26532353259711, 144.63415955722692, 145.88155720744584, 146.59162306535518, 146.62360977424171, 147.64400166184808, 152.0127525870484, 152.54022170738034, 152.75684005416809, 153.57081743442203, 154.37774903759836, 155.32084475114164, 156.14628039645083, 158.24135367717491, 158.49225005702024, 159.53336666229862, 161.51415996266505, 163.05742840718634, 165.42378955523239, 167.63221239364248, 167.70882030073963, 168.33506625685271, 172.45495791778544, 172.82886010952797, 173.67062799740992, 175.77381813940596, 177.18412313672172, 178.12965160262036, 179.40040963813394, 179.9983903647236, 181.20912071291713, 184.44886309679882, 185.87414271885081, 187.24497911476897, 187.30635066922366, 190.60280717603385, 190.98072778214927, 191.46654335500648, 191.65610437517981, 191.74152179856375, 191.91016746483683, 192.09979249924504, 192.25210393474015, 192.67677044782928, 193.71324456978343, 193.8297731809341, 195.2928156906415, 196.52221809289804, 197.84246044439621, 198.08874220326973, 199.35771034613219, 200.4299290317083, 202.88221861035939, 203.30809243796716, 203.47383392581864, 204.33355939890376, 210.8254809729066, 210.95209133388138, 211.9626766345844, 213.936283029283, 214.10536609225542, 216.70513573991323, 216.97844784961555, 217.27228832683363, 221.26127256027058, 222.50999230022683, 222.93502568594516, 227.17708235482201, 229.03010881094525, 231.39434013142869, 231.84615026661643, 233.19670554899267, 235.44983837258536, 235.95252890880766, 236.3303309636876, 237.50834129108517, 238.84684523240506, 240.18612923708355, 241.07957281433485, 241.61269316653849, 242.27565709901856, 243.72432292139897, 244.71873041068201, 244.93777548481802, 246.92876743875863, 247.83090811569383, 250.08077605175146, 251.12014056886701, 251.53216838510048, 251.60120161843224, 252.73027612446003, 253.92556968159602, 254.69775252095647, 255.01881281560912, 255.17627698042591, 255.99717008757736, 256.87320697004378, 257.96625401128637, 258.68591993282297, 258.99766804080537, 259.22241923758878, 259.55707326687997, 260.21689861059332, 260.9731065895665, 261.75576172348161, 263.49006927051693, 263.75817602004179, 264.36446279667905, 264.98165134680812, 265.09600345722578, 265.32040020707956, 266.11656722550185, 266.61316064832192, 267.79317170789477, 269.35469416973734, 270.29706583765039, 270.9476065466493, 271.00772260806337, 271.65440468630652, 271.72136877265626, 271.97513891086754, 272.36520024488885, 273.50022835627021, 274.48861465596872, 275.02571351774554, 276.02098415601887, 277.95286305507642, 278.39838345151043, 279.08809576932453, 279.50210739401535, 280.54356208691945, 283.65266736047056, 283.81242360626027, 284.47806101219476, 288.34147591487431, 288.50899229629988, 289.32958629038853, 291.11532372262138, 291.84848185891531, 293.29148283930675, 294.42255698970257, 294.99305834625125, 295.29261339111338, 296.83371879718931, 297.72190181461895, 299.24411980114849, 299.37510060916708, 299.87988533888779, 301.81971212951862, 302.3774676397536, 302.57548037413176, 306.13422829316733, 307.7093465525719, 309.74136639898046, 312.68229062229875, 314.61042711945271, 315.09646786661256, 315.33925104533682, 315.59250886599364, 315.67684529110608, 316.80211566165497, 318.07243345035562, 318.47316948233691, 320.15278793823154, 321.79821199894661, 321.82619436194625, 322.82617593832981, 323.28046813960128, 323.84869808500576, 324.05876644756268, 325.48812455607919, 325.81792811603282, 327.56330185871855, 327.9311293291002, 329.16685185274872, 329.57829161463525, 330.02892130684609, 331.54082175754905, 331.7690189629655, 332.55687753193888, 333.65907639597026, 335.21540703752987, 335.3582926400577, 337.36977367717901, 338.34877284392866, 338.81592623117774, 340.35419695513627, 342.4684054975603, 342.72550752979203, 343.34038833040535, 345.3425779426251, 347.61073014448169, 347.7638125141977, 349.10631259406347, 349.44158995623178, 349.91684933520276, 350.69548169403919, 350.72526520675461, 352.60071914192156, 354.22279522549792, 355.08951245410299, 355.28176624552486, 355.34158883895429, 356.39438747327171, 356.78984708188455, 357.16182534528474, 357.95735726155283, 358.26424010739095, 360.75698267269428, 361.28632866889672, 361.65286889955371, 362.82575810123859, 363.68506990765422, 364.90510003548428, 365.73952794780962, 366.6610239636924, 368.44597151618228, 368.98405895319144, 372.71424358546233, 373.53194332732221, 374.01354640011033, 374.61323792340363, 375.82658708554851, 376.34120207817074, 376.98306408696021, 377.23383728715044, 379.40616361233174, 381.26731598970849, 381.31100675040113, 381.59244224537099, 383.17578654571497, 386.70354524315246, 386.9279458019497, 387.30741941131009, 388.57230184663212, 391.23978126353569, 392.54118424973814, 393.64156797262194, 393.74060368328315, 393.80822635701207, 394.32625184619496, 394.78853158896322, 395.97442213515978, 396.15835534528952, 397.24079606977841, 397.42402132692393, 397.52376798596242, 399.48208854031532, 400.46767289625933, 401.05078684780409, 401.40893454036564, 402.44125200721368, 402.8308109771724, 403.98460026056506, 404.01456874661818, 404.65572832653464, 405.04168534866642, 406.29204261081657, 406.67214655738343, 408.7772550622945, 410.00195821152835, 410.54497568705131, 410.850206664447, 413.36149892984048, 414.67153480129053, 415.12925358482892, 416.27509436467733, 417.52148483541299, 419.90973840043029, 420.96043247043224, 421.45689063010292, 422.17653132944554, 423.13195783411032, 423.78186999146402, 424.16360086973748, 424.27153635302471, 426.03446638881059, 426.32654946623944, 426.82068849133663, 427.312997745205, 427.41452462029298, 427.97862689104852, 428.4735080929608, 429.1309949970169, 429.29378302322141, 430.95876857536405, 432.40916425049483, 432.9364540757955, 433.68214001887935, 438.10603896037094, 440.2488258752723, 442.01606873096449, 443.32116832485485, 444.25291018801516, 444.30675066144568, 445.02194558263977, 447.45852979063267, 450.55753290913231, 452.72776064546343, 452.95496488055329, 453.77417749342146, 454.21859035639358, 454.33893467035352, 455.06973566177925, 455.7356420163602, 456.01910470195787, 458.87838158748434, 459.65829215136688, 460.81715907828084, 463.38521102260961, 463.99527082964755, 464.07536990982561, 464.20503449848331, 464.73560337818247, 466.50180875573119, 468.6607840986407, 468.72366769276738, 468.8798587761105, 469.45734990940957, 470.19039354461773, 471.60886682230506, 472.93309379920282, 473.07744559289983, 474.261417202465, 474.52045119190666, 474.57194980348498, 474.96647606532377, 477.13232312797112, 477.37109857781263, 478.68183818457533, 479.15575324638706, 481.78323634721198, 481.84638216984467, 482.33470004330616, 483.11867929123912, 484.67806635740868, 485.6226162930468, 487.17515554403207, 489.08870298622747, 489.25189387447381, 489.45684822589544, 490.3552995443946, 490.45931141798246, 494.3395834180352, 496.03111311644113, 496.74002982767712, 501.26542966942429, 502.56679619044712, 502.90557213656581, 503.07299665160951, 504.53349274726929, 507.82638970490365, 508.38926503566319, 508.88503689179288, 509.27500237645245, 510.70782189343396, 512.48134437787553, 515.10859433650137, 517.23614679266348, 517.61599802138574, 519.23492809425761, 525.41958924911955, 527.11464027510601, 527.72535862464963, 528.38390348089376, 528.42114505708889, 528.50422928866078, 529.19716950644124, 529.85018459445337, 530.81505274453491, 531.22021024015351, 532.29631643759456, 533.24970925399873, 533.83060580857546, 535.2615013039881, 536.70734824009742, 539.89860584630742, 540.07995622389376, 542.46478545200523, 545.42736121881285, 545.59000210957288, 545.62581825549262, 546.15994608284041, 548.8534316146247, 549.4732579794495, 550.53135997285688, 551.93967670234474, 551.97822385465497, 552.07628031976822, 553.44382204767328, 553.79921549406174, 555.41821632147298, 555.77604696053481, 556.00672203063789, 556.04442447797044, 556.4981101725615, 559.14596872920742, 560.54130316866576, 561.08299614864848, 563.1982516128578, 564.93278380197876, 566.31629613415555, 566.42075528031228, 567.87082583818278, 567.91971849538436, 568.16723056639944, 568.53696444185493, 572.8957997120483, 573.10336468521234, 573.1825137578661, 573.77151955826184, 575.75807840565903, 576.82588551510241, 577.44156322323749, 579.6964976984342, 582.86778704890867, 585.22427595055865, 586.86993413303287, 587.61838255531336, 588.69288164852333, 589.43792040981225, 589.89357877519558, 592.27513792968705, 594.31227227097986, 594.53262007276442, 594.79629981310245, 598.26383699177825, 600.0194379460562, 600.90201421671622, 601.81367546806871, 602.76802404389889, 604.38964247700335, 604.95669067958386, 607.28831770040267, 607.99991017710931, 608.65222175359884, 610.12697278561609, 610.25345407291957, 610.49953086209985, 611.86077921295316, 612.14596366109879, 612.23409119011694, 613.55608621042938, 615.10800514944799, 616.30379444788832, 616.68559481020009, 617.07511307760774, 619.06103545491681, 620.42191201901983, 622.81170367780214, 622.88924014911595, 623.04918601446388, 625.36324407730706, 625.57852709837971, 626.14570821184907, 629.42319614546057, 630.09057391266333, 630.44734337004684, 631.23478323780046, 631.91090240414383, 632.30765327864515, 632.64582141990843, 632.99940129418303, 634.93907010162422, 636.65968119387026, 636.84997198301653, 639.31402399985086, 640.59387896242799, 641.01451775866167, 641.2757887334343, 642.18948187659942, 645.22317646466263, 645.64433506400655, 645.67112101998839, 646.6329431453305, 647.58531476356563, 648.45160325963718, 648.86096625347477, 649.84954186266486, 650.54965373733376, 650.82007785508301, 652.28849680915403, 652.5930652426872, 655.06947753422753, 655.23001320221692, 655.51823796704684, 655.78474456093602, 655.860576501384, 656.26563479704066, 656.76355693348592, 658.01486368323458, 659.3684971649692, 659.59475007444144, 660.73694875403828, 660.83222684598559, 662.73337649266375, 663.23522357190495, 663.9261729295373, 664.68621817067265, 666.50517271226227, 666.59824088325604, 666.72021580747378, 670.12526110337535, 670.89674022626571, 672.33030112325287, 673.60029895679304, 674.84845405169165, 676.6295781258525, 677.37680266220866, 678.34811338450208, 678.40028400897984, 680.04919764876433, 680.17157679648244, 680.19305561116562, 681.77380805591281, 682.27330727113099, 683.23199926168047, 684.35037189202649, 684.64595769058315, 684.74884335421314, 685.72518310212183, 686.22251990451605, 686.54098541383382, 687.34661368870979, 688.60365847266576, 689.15937713542257, 689.24608403486104, 691.05061946691262, 691.10432436816927, 691.31687844338296, 691.43683660625811, 692.77868679764913, 693.53915643368305, 695.45925323327185, 696.58069622993173, 696.62595386625719, 697.06572746420534, 697.26284378893854, 697.32927551047931, 699.42528190046471, 700.43824852609941, 703.88369841495739, 703.98859219285794, 704.87054799342457, 705.55277754998235, 705.91785107147427, 706.14315843648137, 707.14851867315485, 707.56722165823589, 707.92809168440488, 710.31590476992972, 710.8944320680323, 711.59765479908071, 711.84436456002845, 712.59355663641293, 713.30988613228021, 714.57193492911495, 715.37771184215819, 715.8911708792175, 716.12130267060013, 716.37682190502403, 716.59004350764303, 716.94491492785244, 717.04037945572702, 717.35053762248697, 717.77043274351138, 718.1078619490745, 718.92982674382404, 720.57447383129966, 725.6545399397645, 726.03195687981201, 726.38525039980459, 726.64021026821899, 728.39740196237585, 729.07587236095037, 729.66036208896674, 730.59976171728601, 732.22163495560096, 733.01037422662409, 735.04710824582151, 735.98101465971763, 736.17165456883902, 738.24327234733494, 738.82266524251986, 739.91387773539418, 740.18081563168334, 740.36526157336766, 740.58615768053096, 743.57139745207144, 743.61924108687231, 744.74013559475338, 745.12810413434067, 745.18209125339149, 745.50379728502276, 749.13649084305553, 750.0959085115054, 750.5816294408927, 752.27598631190494, 754.31759206519791, 754.42396872396694, 757.2121312093708, 759.27568194383684, 759.84944310983087, 761.11570713666174, 762.19416879612447, 762.92794204101892, 763.04918370900407, 763.848526948894, 764.33419401553704, 764.77029688259495, 766.22100081883696, 767.25243558130126, 768.30161426572363, 768.33565305067543, 768.9227340687188, 769.7943738741094, 770.45614007997733, 771.37846984322039, 772.6694987474923, 774.14944828701096, 776.37296521710266, 776.88597941620958, 776.9127305312436, 777.35457091605826, 777.94020373703665, 778.36219449042994, 780.75072325151552, 781.36622601753413, 782.02646352385295, 782.93333381584921, 783.54722751182931, 784.05288733275859, 785.60465065238452, 786.64236533827693, 787.00506619433418, 787.51639664521872, 787.8112447152746, 788.67153830275231, 789.68715442164751, 789.78862629801665, 790.07854365052492, 790.17148014596251, 790.31965230336084, 791.70639573292715, 792.53324069505902, 796.03587518331381, 796.0897891709767, 797.93082277739984, 798.52536548179251, 801.4405209751751, 802.16352311394996, 803.67968327241988, 805.47319444883522, 805.71335691469926, 806.09213104030641, 806.542030480319, 808.5289917500096, 810.78335528726893, 813.2584997692004, 814.25564433647753, 815.4188560586332, 816.03011457955029, 820.28347108780451, 824.92440082079918, 825.67781813412057, 827.30120740476934, 827.50284095740278, 829.26079012431387, 831.28228413187242, 832.73054149822485, 832.8570867523614, 834.23205358527423, 835.63463911744748, 839.44579707351579, 839.74297893239793, 839.82432491047575, 840.08305338574394, 840.62311660089301, 841.61816670837072, 842.31225701692597, 842.47585931798403, 842.89276171966685, 843.04423218768773, 843.09236357325608, 843.31186057675916, 844.73561240364791, 845.00522698791133, 845.30206447775777, 847.37896105656057, 851.96630481327065, 853.84418148898396, 854.09360944981847, 855.30723210192923, 856.6638825463466, 857.62584152431555, 857.85030943342542, 858.50317518156896, 860.67693202633041, 861.47977233252516, 861.60272743521136, 862.20544657239884, 863.92764218987725, 864.25149929396639, 866.61899761470875, 867.51017913753253, 868.87668129809822, 869.78703867498018, 870.16797883530046, 870.53420204768952, 873.73918523782186, 873.81039673923351, 875.63415591323576, 875.68241135704875, 875.72693763454049, 876.06697284573465, 877.66647090518882, 877.81337857815004, 878.67874935771101, 879.26452601238441, 879.50538907829878, 880.54588850940866, 882.95624369839709, 884.0862624163168, 884.17294283853732, 885.84882171717788, 886.62143306488599, 887.1837106482667, 887.68148251227672, 889.12050949370632, 889.47720233402765, 889.77266212381767, 890.6251593012687, 891.80261287905182, 892.4989452292034, 893.01415461570173, 893.65880641481124, 895.99846680001235, 896.97714541284358, 901.29724022415689, 902.47892070817772, 902.77419292552088, 902.80252032669819, 903.54236224989711, 904.99202038044837, 905.85877093977911, 906.04417464621622, 909.30029938759787, 911.34966447514898, 913.05182502054663, 913.17293058192161, 914.41015525871956, 914.83473474826803, 915.32157117359066, 915.46529697635333, 916.22036976828292, 918.30075634259674, 918.766100761492, 919.18511770637099, 919.57364278306693, 920.45113104475013, 921.85220788441438, 922.43076922274713, 923.99683452912359, 924.56092157240607, 924.77072735996239, 926.4416941742287, 929.41840082705733, 930.86422496340288, 931.28125445152864, 931.40533720245696, 931.55473618672704, 932.31916127981276, 932.49635281963788, 933.88815060009256, 935.29031600661347, 935.61603632621279, 935.88396788429259, 936.89395197853048, 936.9787295533805, 937.49350150777241, 937.80121677492468, 938.53774625712379, 938.87518497207532, 941.3698980531309, 941.72325733316393, 942.25019289218051, 942.3943272912154, 942.66824010328207, 942.79036851808087, 945.42556767382803, 946.14608830069665, 948.02502997580098, 948.5846007896622, 948.68993577488948, 948.90367818008065, 949.12633089349231, 949.48417595022613, 950.23302069971635, 950.50553010363353, 951.13872767261978, 951.23338250359086, 951.33011105913738, 951.58106042295503, 951.81877690064891, 952.05002667023973, 953.51252792060291, 954.24767647685178, 956.60149844017928, 958.27452419310771, 958.60638233433008, 959.14601809253145, 960.92329911806382, 961.31396592174212, 961.70548773168537, 962.35877554619719, 962.47897909451297, 962.97738368657929, 964.75888368566007, 964.88246997251076, 965.32733640539709, 966.23181441867143, 966.45420126367071, 969.4899134123516, 970.83391590720055, 971.69163121809277, 973.79000368049822, 973.91652988306453, 976.2273991140446, 976.31159102191452, 976.75724033470283, 978.31236868238057, 978.83062172851521, 978.99783277202494, 979.11906327178349, 981.17787423058201, 984.88787122309918, 985.68468642341372, 987.18763469634814, 988.01766429706834, 989.21448544376085, 995.59308158049657, 995.95222663016591, 996.38029696076921, 999.55335061839173, 1000.1814115201383]),array([44.344877218096592, 46.538071448327543, 46.874461300296822, 47.353834952125737, 47.559414349910547, 47.63866590974397, 47.876826198188496, 47.939146475984373, 52.712278608550285, 56.09044277564707, 56.424143000701285, 57.675865762933647, 59.422940544344428, 59.837379918970768, 61.182327677217891, 61.475295843951706, 61.53832461441236, 62.447587209321107, 62.782866041768564, 63.123068407680329, 63.212231821074809, 64.871136331129208, 65.087423912435611, 66.139130346897772, 66.354226317193849, 67.188147525291214, 67.776629945243243, 68.27184784782834, 68.856742472537917, 69.03803713410322, 69.920026456773073, 70.989052626633395, 71.074817860436852, 71.553372802281501, 72.138021420643284, 73.278672892577333, 73.613604476873107, 74.398209427602822, 74.723000738961289, 74.951441913844107, 80.523475198903199, 81.932713410578671, 83.675367473181652, 84.17764989365196, 84.346127908390613, 85.711645054889971, 85.916019515090738, 89.478194060438796, 89.677426158206202, 90.601277792091452, 90.926153127894622, 92.285412587856769, 92.571135393885811, 93.979037643997771, 95.66257865133187, 95.941347208059867, 96.090305563094176, 96.126348726544862, 96.26787966992454, 97.241274286702691, 98.605811006923432, 99.665478748764329, 99.790027405238632, 100.40157462063894, 101.95634067765045, 103.41549189431861, 103.59377274710114, 104.43089781107518, 105.78241673683446, 105.83107499129484, 106.36173748886081, 107.58227030544992, 107.62555303937805, 107.77367996355215, 107.91463186335065, 108.77406400776002, 109.10124994530808, 109.89693987791276, 111.36764438755768, 111.81019806876598, 112.21830024431692, 112.91747565982706, 113.35535524848582, 115.87381855323174, 117.9805097290422, 122.99917691745536, 124.32585935011352, 125.59839659435946, 128.65982287653625, 129.10730329257041, 130.11524066227793, 130.8706386076901, 131.02806888365566, 131.08538433414529, 131.8094045525213, 132.66290671983256, 133.19175337283332, 133.71883235005129, 133.91664637238964, 135.361691172599, 135.72883211470312, 135.83759153215345, 135.91227138195933, 138.04398754011766, 138.09807524892713, 138.184519680753, 138.26265099991392, 138.66450129472739, 139.06606672642161, 139.11795034737938, 139.99526849561104, 140.34468126305825, 140.43199111505854, 142.52145245356675, 142.90923833534089, 143.83513986652324, 145.48490150405172, 146.27851790663757, 146.41106037359967, 149.49825892440899, 150.87818410732282, 151.96985438852647, 152.56411186633287, 153.04659295155318, 153.16534312146356, 156.20916278835844, 156.29176704030095, 156.72108274469628, 158.15602712784249, 158.28796515625316, 159.54128921929021, 160.81422066506425, 161.14215633635965, 163.40337650007044, 164.31778252330543, 164.44274114320791, 164.65172441856882, 164.82355693921818, 164.87320914907033, 165.61520220545177, 166.29681514322914, 166.44419642499861, 166.57170310823167, 167.64511367410276, 168.60450706194493, 169.30758152285725, 171.29989748373333, 171.78965060847028, 172.05991871872226, 173.24132130644605, 174.79250452574436, 175.43057544470628, 175.98764385402816, 178.32968715555367, 178.4812797241853, 179.04010434164263, 179.59897662491957, 179.81818918609889, 180.12937891028724, 180.27532433032914, 181.21029137725171, 181.41616122628929, 182.62483261884137, 183.27218161186451, 184.30941128490653, 184.40040060021627, 184.50908080954318, 185.02902594406231, 185.50810804472701, 185.66567982573886, 186.31101332323823, 190.7972991039737, 190.98374956391109, 192.94243551246106, 193.64687785661184, 194.56561094556019, 194.94045714358685, 198.73687800432228, 199.10752487748789, 201.29014057901622, 201.36108699787854, 203.10321332776101, 203.55037715352566, 203.8771640667149, 207.51369301242644, 208.50436499489243, 212.1135507209396, 212.46613877117065, 212.54878704515545, 212.99969260399152, 214.24425186142165, 214.55035454628464, 216.59161368090895, 218.53800536239473, 219.72421350331064, 219.92705558581619, 221.19758311551701, 221.36649454918009, 222.05554679561195, 222.86079026900552, 223.22873768992361, 223.85539900852942, 224.2954417732019, 225.11323096832882, 225.36848833528924, 225.54171001332645, 225.93225824890675, 226.28317274579319, 228.01303459563869, 228.21534178707572, 228.89588304407317, 229.3250677339947, 230.27598418906931, 230.56727244038615, 231.90612171303778, 234.94238236666504, 236.93899439049846, 241.6946539076674, 241.72184154590846, 243.81009777733766, 244.37882119884671, 244.59645157953844, 245.21696387234644, 245.61083272895087, 247.30930117842689, 251.63835043225629, 252.75187256763206, 253.44846304762746, 254.24251201988278, 254.49742026844231, 258.74190169465379, 260.11529901553274, 260.16762258303243, 261.45247535326081, 262.30448294458381, 262.81039114602072, 264.55766613515925, 264.88770775494163, 266.08358592256036, 266.57371417895536, 270.7518677457312, 271.15944159803968, 271.33703353458566, 271.40609279715534, 271.9029151324284, 276.21310371308221, 276.71023177041229, 276.93631147675228, 278.33770727092781, 278.39036293644403, 278.67178700400848, 278.83102357561393, 279.30295783324942, 279.83612797226698, 280.02995454977855, 280.13495431552968, 280.44631277319371, 281.12792998024651, 283.20777819573465, 284.82061854438467, 285.02722079598141, 289.73831879694404, 290.09245426831143, 290.94319216153434, 291.68419940910337, 296.05785632619387, 296.41345635837001, 296.50171899311295, 298.19906018875491, 298.64148483544125, 299.81123570571924, 299.88883633182127, 302.66342986497102, 304.00929349718189, 304.94907141402268, 307.83126070742424, 308.33049610729614, 308.43069156409194, 311.08799539591337, 311.9930149131302, 312.71665590752667, 315.11301107802217, 316.96312953896961, 317.15738994726343, 318.09079792867425, 318.60906780061782, 319.76707596971744, 320.10560324234632, 322.18238044630448, 322.56011402573142, 323.28175073118717, 323.57751826359373, 324.29337726987148, 325.31881361937985, 328.28666868984186, 328.60053218699647, 330.10882191672596, 330.40080382694759, 332.16887236873197, 336.72622787645122, 337.17365276555688, 337.78081737415062, 338.16603446825945, 338.90100363264071, 339.36886345105444, 339.52759194456451, 339.8565516754278, 344.04437541197387, 344.23380869940655, 344.50853889351123, 345.65139002799225, 345.91943583848422, 346.47268274386403, 347.46961008526074, 347.71183253004, 350.16540268746479, 350.57606184763245, 352.94375048680291, 353.4853172276492, 354.00682194564763, 354.99661943166194, 356.78813955236365, 357.16276621261545, 357.68632526980792, 358.0008783252606, 358.32778174850858, 359.32728222160216, 359.56219793667844, 360.48499103338469, 362.24873040761599, 363.72334315344614, 364.73081100058511, 367.41826878751601, 368.22463757243975, 368.72544809617995, 369.67052707750742, 370.05387759496523, 370.40006663440937, 370.86037616202168, 372.18987395138703, 374.47415075266434, 375.27133808696232, 375.97572937391345, 378.73070598572184, 383.10647780230357, 384.17758762031099, 385.54953366969028, 386.47581448866208, 387.39160573929286, 387.99046661350422, 389.72797698556616, 391.50181596140879, 391.67467194828743, 392.82719437847817, 393.82047122646344, 394.41615627732699, 394.71008985565118, 395.22267485709108, 396.25073273225996, 396.66554793040279, 400.012365207036, 404.54051158780601, 404.68242201651185, 406.36301615511064, 406.53111883504511, 406.61697860428342, 407.8228192147248, 408.64432655351095, 408.77935619110787, 409.07141374738825, 409.50774122773169, 410.42337348182258, 411.7669714346502, 412.5186416797099, 413.37655402475792, 415.73373834918436, 417.44376712536405, 418.46684785753797, 419.74055709283505, 420.35008100646496, 421.97059734790031, 423.58201052633672, 424.0304975396275, 424.73563797985702, 425.30655424528055, 427.28448218739049, 428.05038285261344, 428.15116238116087, 429.69324736244391, 430.36202283051296, 431.10901796546295, 433.48535393475777, 433.61299020628292, 436.05246685480972, 436.26501771337024, 436.42369288474083, 437.95418747260419, 438.07998983802429, 441.33010029845087, 444.34292978836811, 445.74775909590727, 446.47376998796477, 446.84350938343482, 448.5242349104218, 449.46691893198806, 450.84179417011376, 453.93557702459896, 454.94431600360019, 455.16715271252724, 455.98060504806955, 456.76263155102447, 458.02108337738031, 458.07892366157188, 458.71391453954766, 459.15617886801851, 459.3936539110461, 460.6454391381468, 460.88947541252139, 461.34207391677097, 461.53414136846976, 464.30605985432072, 467.20329277686341, 467.35510051215221, 468.8058929107662, 469.05927260982054, 469.78960324409076, 472.41087945604653, 473.5897197216778, 474.74663178002788, 476.44658136190844, 477.5580241164825, 477.67603112380601, 478.24246348901022, 478.92299258389335, 479.89767866617933, 480.96519987668279, 481.0993407665942, 483.89140265922919, 485.00233812590739, 485.54291093107969, 487.45603213602072, 488.9310550244154, 491.57875704262295, 491.72693942764317, 496.42940882014642, 500.09080429574357, 500.16305939050181, 501.91959846714798, 502.30783283098003, 503.23885557879555, 504.76951719308289, 505.07148348602254, 506.92638093157063, 507.04174461436696, 508.15548472569537, 508.62644772869925, 509.01368306368977, 512.8783515536187, 513.36123873719032, 514.49697548321569, 515.68420596407111, 516.03160223879297, 516.64872814742478, 519.90011771566049, 520.40563101021837, 523.78820644624398, 528.15473029973452, 528.78573959154062, 529.03324852723563, 530.58513507671944, 531.2875022743815, 533.60256419543407, 533.79167516802283, 534.06686559078287, 535.26182932790095, 537.30545060114468, 537.69416466077382, 537.82223567854453, 538.15868396774874, 539.39012198159651, 540.53256323924234, 541.67793777955069, 541.7848403955943, 546.36668560353928, 547.37337133375149, 548.4527187293919, 548.77445302367346, 549.68964044696668, 551.85614595183085, 552.435066645441, 552.49817642639073, 554.71734381735882, 556.8648836839983, 559.89322244897983, 560.25396746001809, 560.32813805160151, 561.36282757296317, 561.68171619031614, 561.74657567961117, 563.16216036318542, 565.08878121319344, 565.68178276584717, 565.92053021037441, 566.77517148002244, 567.15262089933572, 567.36936137719192, 568.92708677338726, 569.45559608863607, 570.20735201775244, 573.36600922308924, 575.3983388531525, 576.30551705738446, 577.89252440809116, 578.04375422053636, 578.32440433061015, 578.91781524769669, 579.47673175946295, 582.03473757023505, 584.03014205205318, 585.90703613781386, 587.53194530656629, 587.85596583625068, 589.2012417796567, 590.31528791953497, 592.03179644224042, 593.74972515379693, 595.46591782913424, 598.35963528506272, 598.86696462405541, 599.80927415355575, 599.88854114534411, 604.34961446722025, 604.41253246585438, 606.45529199446435, 606.75474141069924, 606.99930315141285, 607.8606527549332, 610.14220879698235, 611.43307769157627, 612.0985175523665, 614.3318715717179, 615.88399270543584, 615.90461542111029, 616.60046169579357, 617.93358644340412, 619.95768380907259, 620.06689967990974, 622.24870441844064, 622.74031693882478, 623.0396814059701, 623.07076606841758, 625.15005474436134, 627.15984305550012, 627.28694623447939, 627.71391964107079, 629.28984109916757, 629.60909614716695, 630.20332738889454, 630.59302807457732, 630.88788551953519, 631.98663438930362, 633.84508956957416, 636.97443253542838, 637.02218000855271, 638.68066196542338, 638.71855350159854, 639.70959090424628, 640.51533005919498, 644.8930352264772, 645.24466910963281, 646.42065094072825, 646.60067551307668, 647.10716841555188, 647.27528805398413, 647.55714428666261, 647.90195280098874, 648.59977283339492, 649.18439166917244, 649.54173135869519, 650.43232606375057, 650.78928859185521, 650.98440144212896, 651.65066604096978, 652.79735699864023, 653.15590409925551, 653.64704855588434, 654.8910119742244, 655.13938377505474, 656.21246648095041, 659.5515100753081, 659.93556354446287, 660.38187207212957, 661.05625559736438, 661.52843746675353, 661.81974126573584, 663.15749389446307, 663.3101467307157, 663.82093754115544, 664.10718041339896, 665.51752808193726, 666.99197034111046, 667.54177957813806, 668.21139754455112, 668.28071050718609, 669.89989882284692, 670.37620172278048, 670.48640494272195, 670.61495387572893, 671.09345375323142, 671.12594578557866, 671.31074908393418, 672.81843092076099, 673.30533398302032, 673.73773571414506, 674.48312716164958, 680.9988853297599, 681.39184275151024, 681.98897259482283, 682.20486776637654, 684.70257120584404, 686.49779052605152, 687.60597788913435, 687.97742247142673, 688.65315897010396, 688.86945144722347, 689.33520706030617, 692.08113134490998, 693.27062688798901, 695.79174312823909, 695.99547934540044, 696.06684695293063, 697.50119002950692, 698.45377274634791, 703.32825188480069, 704.95889160688864, 705.54983692026588, 708.21693465238877, 711.4428205876377, 711.87216517340278, 713.50383293640903, 713.88891754780173, 716.13356869805455, 717.40081080069126, 718.88047527765582, 721.18747781247112, 725.29311647317979, 726.23784862229047, 730.61044601009348, 730.85693399472029, 731.95140402830782, 732.20595706507925, 733.40242117841342, 734.89570969547481, 737.80894289561184, 737.83554951592782, 739.02316675187933, 739.56086426867819, 740.06823723313983, 740.38791139626358, 742.2855058503593, 742.50848331723694, 742.81519295185399, 743.52807352729872, 743.63397329084421, 744.09316440399459, 744.2723521142949, 744.77064029687619, 746.81777952434595, 746.92628499393732, 748.22649963447373, 748.65145293888486, 749.94618222990653, 750.04086239334526, 751.29206641933035, 751.76906368974392, 752.49078595394906, 753.0657431784357, 754.77270731590477, 754.99407326488551, 755.08051153941506, 757.87358604226688, 758.12173053120932, 761.11651874885627, 761.92160294740552, 762.6538820448261, 765.92024533277299, 766.90134154669977, 767.35929155429835, 771.88708941745313, 774.78898153440912, 774.98254463038552, 775.58442505055677, 775.92655123291979, 777.80501674924699, 780.50982953192135, 780.98498577994349, 781.10049594868792, 781.64508495951929, 785.23690821331127, 786.53786701823378, 787.37345422564192, 788.13389745913844, 788.26094692671131, 792.50508280309077, 792.76540396104599, 793.00281688740472, 794.55867471645786, 795.30164905423101, 795.57989504555326, 796.08123432120601, 796.55946783367551, 798.57107137081118, 800.64247424688426, 800.98361742861948, 803.41192236764971, 807.86904941287776, 809.78966011174953, 812.11763734802253, 814.65851557671033, 815.63852682983327, 818.22702953714861, 818.74126330625177, 819.45628736875778, 819.50316936184845, 819.68953445307363, 820.29734445226893, 820.94986089862857, 821.4698423715206, 822.85793637404788, 823.57744614232138, 824.0456739836402, 824.81385237197662, 825.13941688020338, 826.19558135763975, 827.56283633873829, 828.3267989886848, 829.12318401754317, 829.28136776928545, 830.04255656076532, 830.65051909052136, 831.96131024448675, 832.14166176254628, 832.95905230978963, 833.20554280234319, 834.39250209364218, 834.54069084896446, 834.62607422136284, 835.14286353186299, 835.60780288244473, 839.06767223213205, 839.721190014076, 840.24490339076726, 840.50290833248664, 840.95130590567896, 844.121399048375, 844.9016221485474, 845.60756781781697, 845.76492857227254, 846.08684129971186, 846.81941890694304, 846.8863120699649, 847.95957283434302, 848.98435311392552, 849.6034207924497, 850.13594619964579, 851.95678152076982, 852.03986035749824, 852.09811171334445, 856.13106481212299, 856.30038891582217, 857.56423701111453, 859.28204517354993, 859.82104424620218, 861.19257942339891, 861.24390948609459, 861.89651427684555, 864.40574760711945, 866.35952382720131, 867.60135380286124, 874.36191607513899, 875.5898673619912, 875.75004874202273, 876.23960063678567, 878.00966752833494, 883.80033653116016, 883.83314203220391, 885.00900723797042, 885.26552507118845, 888.0401982135495, 888.26513639897621, 888.42055613354546, 888.74543101702091, 890.92371848421533, 892.05448628340287, 892.08810161342899, 892.16237146807146, 892.65288008676885, 892.92199655942011, 893.29372719148171, 893.64210026008629, 894.02353490081236, 897.1967438257002, 900.46480252405684, 900.82724776328428, 901.265680137922, 902.52284913818164, 903.77416308726629, 905.29704691848406, 905.34781856782945, 905.96930014955774, 906.03455981763545, 906.59502031756244, 908.10429394403548, 908.46083828138728, 909.32701141474115, 910.69640412449814, 911.61026100499942, 912.84018821037841, 913.3361005757497, 916.0035207821677, 917.33652832505129, 917.47741847768543, 917.72122989059085, 917.93722589395384, 919.11660844831079, 920.0206164789829, 920.61349693184627, 923.55168851209373, 924.52166105081722, 925.00441728657677, 926.29370666625402, 927.27145874791302, 928.01956661556574, 928.55361332360644, 930.98789291348453, 931.55867475923765, 932.77322183600631, 932.82652693277782, 933.99464636231573, 934.69860820139047, 936.90802525838285, 937.51098906101913, 937.69718547666548, 937.97374131419986, 938.54767285689627, 939.45419486739729, 939.79480614493093, 939.99587861103635, 942.01746529659169, 942.18500819148392, 942.59223451291666, 943.25242025798707, 945.88214214325876, 947.9971667176136, 949.04577505643363, 950.54047020354403, 951.43618633743972, 951.50457836301041, 951.76612980428422, 953.5509817910056, 953.83309481290041, 954.4942436387056, 954.81460811217937, 956.25908568472641, 958.00828034458868, 960.80568315494645, 961.06153147802399, 961.1374678062981, 961.63529678887983, 961.89637908580676, 962.53274422455445, 963.02176037594995, 963.25410767695894, 963.71465789588217, 964.99415125661119, 965.07752284694698, 967.14704880343618, 967.18961085723538, 967.4281502562377, 971.40667200853579, 971.84097781129606, 974.10797227680837, 974.9989126447208, 975.54683034066375, 976.03934312932563, 978.72968130550987, 978.94700620963806, 979.04400985306017, 979.11090492028165, 981.22518669357521, 982.4927254002306, 982.5945539055773, 988.47071867090131, 989.06245429081764, 990.31477473632287, 990.94861713685361, 993.24870792036631, 994.24915433090939, 995.66145162005046, 996.95911104392439, 998.36114879930301, 998.43372185779936, 998.89892327740131, 999.98587875012538, 1000.5474578191266]),array([63.807652494834976, 63.899472486495398, 65.005880716432756, 65.35301182362231, 69.165869959652326, 69.878168663560928, 70.105378851296436, 70.350072771996508, 71.476568105696359, 71.679510292534744, 72.647661400417093, 75.292198696737643, 76.455114694939439, 79.781551934195505, 80.768025245918835, 84.549949126579321, 86.584567543128642, 87.627615757022582, 87.750444873597331, 91.025153332643754, 91.838891991923248, 93.337779060240635, 93.715593034303879, 96.521484127569124, 96.577464217851059, 100.87082943150493, 103.71529616979507, 105.15245822813704, 105.64073942798383, 105.70741506131304, 106.05582931581723, 106.64463323148254, 107.06862656067929, 107.18826572182815, 108.17991078285988, 108.87192086841607, 110.84676954497445, 111.59216706347021, 111.61360761072878, 112.06653551173763, 112.3119722270619, 112.45023996190196, 113.26511142918706, 113.35385053856727, 114.27079492707458, 114.83843245120957, 116.17364787979565, 116.38410143026208, 118.01990333908346, 118.12662665617161, 118.4521494376137, 118.73465340252416, 121.00755036907414, 121.67659792941616, 121.99992969253708, 122.62348441397272, 123.07102287852493, 125.30956290944637, 125.50384547376207, 125.61246193147365, 126.19548960056203, 126.51220576502178, 126.88303053994046, 127.52591619259536, 129.66149962979631, 130.4801161946468, 131.56460175139594, 132.02213846044194, 134.14822966998199, 134.65616923841964, 137.57056602870094, 139.48707412235194, 142.28148609629028, 143.33596670917618, 148.9825024868187, 149.86248232222701, 150.50609035230167, 150.95364331918421, 153.09517457285122, 154.61241167527285, 155.59422348421921, 155.94648237904693, 157.59460622707488, 158.79595018912434, 159.7236161139177, 160.95867262551104, 162.90190714141744, 163.17076445253304, 164.16471026583852, 164.82081292397203, 167.36817612494488, 169.78946473485709, 170.84028486586257, 171.58414358029589, 173.89805378828419, 174.84210525954353, 175.2240563779815, 175.70579767699485, 176.053596370078, 176.57643245065773, 176.68372165293545, 177.44313067965987, 177.78389436839933, 178.1745241086636, 180.50846247458591, 180.64853403375474, 181.08896644555352, 181.19920490918435, 181.22474641807599, 183.40156898975172, 184.32961040840729, 184.90860963786977, 185.12948730885591, 185.22447441907292, 185.77840720600881, 185.83294457166159, 186.60338803516669, 187.40156962324394, 188.13544549674984, 188.4361841908833, 190.41712400260104, 190.51824574113951, 192.17740468514896, 193.99674698913358, 194.93440596878617, 195.72450427899614, 197.66970506316079, 198.62686364347061, 199.16693652442095, 199.35591615214116, 200.74270803745111, 201.17761342625852, 201.91299538688949, 202.59916842435678, 202.82631818429633, 203.50470314527249, 203.65008616279411, 205.75651941097394, 206.43750167347628, 207.71303953514789, 208.52537298414859, 215.74793742327472, 217.33735415864629, 222.39489954762652, 223.24182978892577, 223.59003872829908, 223.73984818594175, 227.27453754729268, 228.86602467704935, 230.05547957043083, 230.25065139727454, 233.71273508598864, 235.0904264682743, 237.71891440862626, 238.79875558244575, 239.14046364997759, 240.38472859462274, 240.7347921721103, 240.84338048180209, 241.21435724133212, 242.42649581270541, 243.74151350002867, 244.02521522235909, 246.06487045103836, 247.1142534636345, 247.49336286937199, 247.88101703461714, 247.91962379922185, 247.96945404013161, 248.56278503501107, 250.26300163094487, 250.70955948884051, 251.3294086904761, 252.29234413995303, 255.04718012842505, 256.67075114301019, 257.42334732445579, 260.09687176882727, 261.3042415891548, 263.23058288635445, 263.45930411124067, 264.26052391118054, 264.33088440684111, 265.26764661045365, 266.13492162134645, 267.06293328239423, 268.41993699308415, 268.70475432985205, 269.86110000830996, 270.40600191840963, 270.75448207310785, 270.94680800493535, 271.18907834260114, 274.62949026535711, 274.94435062846685, 274.97838581602701, 275.05169376357253, 276.09196001209239, 276.79215927225692, 277.46352620502074, 282.45936609138721, 282.54381496183964, 283.06370682140965, 284.28213540025735, 285.07992558961581, 287.26468437123901, 289.00954521007128, 289.53440626975242, 290.68235130023612, 290.75343654519338, 290.97193473645359, 292.58943018138689, 293.32982184041265, 294.03077249425672, 295.00416997005698, 295.66641359717858, 295.85286354533281, 296.19037478689864, 296.78214371022034, 296.93485447448876, 297.0361389648703, 298.31165059409437, 298.43877912911199, 298.55238120743422, 299.57638682081063, 302.44654048499143, 303.92994267642581, 305.20758598797022, 305.90724528147138, 306.77275862336813, 307.20570617269817, 307.31661156067997, 307.63952105538016, 308.10725884475619, 309.48142321401548, 310.86609205151257, 313.25511755656481, 314.14833432555218, 314.44588059353947, 314.60982083925222, 315.57757544631949, 316.70813740384114, 317.12637103303001, 319.54716807080513, 323.20604052802736, 323.56756708608998, 323.61007563061384, 323.88493509956965, 324.9540336294823, 325.16601610942172, 325.97297532378013, 327.59453187065492, 327.84491420231842, 328.91679167478981, 329.50548772518817, 330.4877120136419, 330.81474659402886, 331.88528306369733, 333.83981074802949, 334.32421894660183, 334.98382340906448, 335.01301223202114, 336.31690309557752, 336.56172964125051, 337.85944709911746, 339.07354046616194, 340.40014167283886, 343.22728364771558, 343.55597503158162, 344.38441371817447, 345.21888830777152, 345.35903037963112, 345.83822174997459, 346.091504426489, 346.17186368496391, 347.91546960739845, 347.94614854752257, 349.40404311896089, 350.67188052692546, 350.83620258583232, 355.12960000525243, 355.65150011880678, 356.38989525450091, 360.21088392982068, 360.7885761736282, 362.96163264439639, 363.82297577010377, 364.35618812394267, 365.04069783320494, 367.1990135784115, 368.17962751586515, 369.06232596297224, 369.85987634951852, 370.91671766763392, 373.36966092788572, 373.62875163772338, 374.46958149860103, 375.02694800906869, 375.70071954074859, 378.37631089046437, 378.74320819507227, 379.45249052484797, 379.64664417425342, 382.54268553897913, 384.07017631862419, 384.68296996209989, 385.22618633325999, 386.40535985125928, 387.96321722988876, 388.20809722327004, 390.55767669379594, 390.90211617027239, 392.0157381858034, 394.43181366471902, 394.50390806537621, 395.58491204681735, 395.7486305750449, 397.06795907922066, 397.28806600314499, 399.02258527948175, 400.89036943058164, 401.89001976474179, 407.050873190912, 410.61444431032442, 410.70491622727303, 413.34589644772723, 414.37027172448506, 414.95574113147484, 416.45098666402941, 416.99004056645765, 418.81390483185066, 418.99661491287549, 419.30457950859915, 420.96695489794888, 421.29569218247053, 422.2474925366775, 422.8413666290034, 422.87813297245339, 424.65596262994012, 424.88626246062563, 426.21180026851641, 426.23396596564243, 429.38004439692935, 430.43342480221708, 431.53620910327317, 432.74829084580671, 433.04544264640737, 433.58458155034288, 433.64450140713416, 433.72497319542782, 435.6706403775255, 436.01771170832029, 436.23956927799247, 438.0264154993929, 438.090469398842, 440.60591148857759, 442.95651523705453, 443.03227413608596, 444.09153368369942, 445.50178307177987, 447.65266964723514, 447.80469275369097, 448.24749405467372, 448.94004425801774, 451.11771498611472, 452.0467750738996, 452.32977147363744, 454.60979806041024, 454.88242360120887, 455.58609983137239, 458.24182243665263, 459.65241677113738, 460.1347042186548, 462.68690001700838, 464.19485306635039, 465.91858672529673, 466.12078455216977, 467.21122233688556, 467.46029174264902, 467.49213827410563, 467.52917259984156, 469.57183367038806, 469.68849397316933, 471.76606641494323, 473.08483969552572, 474.32906997547684, 474.59810807958468, 474.70544843478621, 477.70367551298432, 478.00945579954623, 478.11708554513689, 478.31766399926471, 478.81733046064869, 478.9440253400997, 479.0071313366721, 480.4059012862748, 480.69392485733442, 481.91352873844892, 482.76038819716211, 483.93250647502674, 484.94572674174481, 486.04515159253305, 486.99298140633232, 487.05323811881522, 488.84306683925479, 489.03069931629301, 490.36899889288838, 490.99334748219718, 491.11869774866898, 492.42369385886224, 492.74283151587559, 493.44935769203812, 494.90849038775775, 497.92658996805409, 499.51915041790232, 501.96461706089201, 502.75231219478178, 502.80944791528759, 503.33464096943027, 506.52128487193067, 507.31683147296212, 507.64083068252518, 509.15351501133091, 516.91857513802688, 517.1200452121094, 519.45312738637267, 519.50334683465917, 520.1849929519168, 520.26880662510587, 520.59290303586715, 522.26646378816736, 522.5081642664012, 522.81337285678615, 523.04658017477175, 525.26425168392973, 526.41396114129782, 528.08512808242415, 529.00565853463581, 531.2828356376267, 531.31924374081439, 533.25280647775764, 534.06911871017417, 534.22687915421614, 535.80524726112048, 538.49584028624804, 542.4371307346255, 543.52492701170763, 544.76024211521576, 545.32198332708242, 546.91451338300078, 553.42285722183021, 553.75545637220182, 554.60145275980403, 554.63425898544835, 555.93819302885822, 556.00537125036806, 556.93932764779686, 557.5717530005154, 558.03853790598055, 558.23502298521748, 559.54632474634991, 561.93300391064361, 562.28400452729772, 564.76494471607009, 564.82952506785466, 565.94173999525719, 569.23786914670154, 570.25558744796422, 570.68321246420521, 571.42233993832622, 572.64691832364394, 572.87594390016375, 573.09721399540467, 573.68078630562798, 575.16583637810174, 576.07458117161934, 578.5801298792536, 583.66112284281189, 585.19818196923347, 585.93390831346221, 586.48312608535866, 586.963440279167, 587.33263039932785, 587.50958661943616, 587.86712989136595, 590.78340656211935, 593.43804567914799, 595.0409940439007, 596.12151967295881, 596.81102769540041, 598.43228177048229, 598.4954121497326, 601.38950654365146, 601.5232750928817, 601.75475688865663, 603.59327902363157, 605.04497003674078, 605.80829943098229, 606.12446945560407, 606.72268588939232, 609.66564728554033, 610.28007936239101, 610.35096903274166, 611.0200852922269, 612.62732978284873, 612.72891747222229, 613.05121410709751, 613.62270341097087, 614.26133097326772, 615.62884397266123, 615.84652394183695, 619.38697277394567, 619.692378491569, 620.20312330056868, 620.74117979476864, 620.85221155499289, 621.42469662084227, 622.87527217226125, 623.05747778653699, 624.66109926420677, 625.99488059531006, 627.14945683341773, 630.1836739066764, 630.42985939003245, 631.84763744583427, 632.64340099953051, 634.23945126278807, 638.75678190920723, 639.48833107264284, 640.16359555549616, 640.44178784709641, 644.66453484326769, 644.93666843704239, 646.63735455860649, 646.68421800583837, 646.93250371938359, 646.97675752747125, 647.40963933138539, 647.68008017681439, 649.37691200492554, 649.67745302692208, 650.31328936017132, 650.58515226081431, 651.00901172417582, 651.99315517505568, 652.29184149227797, 652.58445638083322, 652.9153909353488, 654.14777656443448, 656.32759828380563, 656.65528805342933, 657.23316137982272, 657.90902536150884, 659.34529800076621, 660.61207785769921, 661.40254596537079, 663.01975516096718, 665.43866676484845, 666.0044921816268, 666.69217729132458, 666.86791888725782, 667.72822128361713, 667.7853795928479, 668.71777663183934, 670.97845252540742, 672.27001297007484, 673.64061847738174, 674.46094008461262, 676.83709970180507, 677.07416495652808, 679.33327651595573, 679.60481436985992, 680.25623027190318, 680.64780884718914, 682.10433163777407, 683.21196647921738, 683.58416030831427, 683.83834401583806, 684.54746633582693, 684.78146982281464, 685.61778956339344, 686.58119195929896, 687.11771335023434, 689.035175145842, 690.74619671897642, 691.44263245357411, 691.50047702216693, 692.50593109564431, 695.08006592793572, 695.66315429232031, 695.86683778176257, 696.83816525884811, 696.93717293258408, 697.45889645618433, 698.57498182607867, 699.59457955648884, 701.69611453105006, 702.21357373981368, 702.27550292606008, 702.5332863667478, 702.91286744901663, 703.79437201577218, 704.21390101891984, 704.47961186537168, 705.54094101830503, 705.58787262594944, 705.67847156269659, 707.00654617084535, 707.12842845796888, 708.42753098219384, 708.56440583233837, 709.70231017884089, 709.95354954975312, 710.43075245449484, 711.45736149802349, 712.82587795281813, 713.74814236486191, 713.9785230781838, 715.54049011852271, 715.60990838519638, 716.04541863827421, 716.22789743807482, 716.5902720275966, 718.35830903333317, 718.93351474180656, 719.02206594283632, 721.32348289659296, 722.83900646673555, 723.09585774479797, 723.60809408386001, 727.5261267012371, 729.2782392963278, 730.29134021836001, 731.13452747050212, 732.01403402270375, 732.28285306566454, 732.38632647448048, 732.71790387654858, 733.18082227953232, 734.07630156248149, 734.54374260507666, 735.89803137299623, 736.68638445700901, 736.90031176880279, 737.1422822345445, 739.35144794198118, 742.73316227521332, 744.34166612197737, 744.4963094781981, 744.6202352247069, 745.73200330489874, 747.15651226419152, 747.64248164078845, 750.17423003178226, 750.32037587646914, 754.65398531170217, 754.96151915046573, 755.36779336461439, 755.98998896583635, 757.61937977823357, 758.23374685799047, 758.65237060420179, 758.87231785326469, 760.66516625038139, 762.00262708839432, 762.15710361215258, 762.75712865687115, 763.74258238441075, 764.14060345276948, 764.83475870230666, 765.76335034563624, 766.15993798607724, 767.66808553974727, 768.38873170984061, 772.80221285952757, 773.44670243771361, 773.65250402269248, 779.78236412321735, 780.15641560566246, 780.36168005850811, 781.27813104511756, 782.32496677362303, 782.61120859449272, 783.43734235328202, 783.7681444956994, 784.18190807118037, 787.04410030394536, 788.73089653911495, 789.53723776193499, 790.08644888131448, 790.55147118419916, 792.77867019331347, 794.63294732791803, 795.9182139861208, 796.55409755369624, 797.39844042336779, 798.15937071384485, 799.89226644409234, 800.08534775475812, 802.26721085900647, 804.18559807417785, 804.70828160266205, 806.93006503336073, 808.81672803065112, 810.59538754780874, 810.61827938267538, 815.58587128158263, 816.31363789174236, 816.35543756867071, 816.71754790917714, 816.99405969091674, 818.92949016424052, 819.2263868726335, 819.6681834797073, 821.13067527152054, 824.18851063099351, 828.47823840062483, 829.94482053935201, 830.83608816787273, 833.26164689372024, 834.51200153393211, 836.50779115480691, 837.81661308832486, 837.84114920169111, 839.39549883821428, 840.53797814616485, 840.83147836986871, 842.9575410485437, 843.18336178121319, 846.77555031450083, 847.01394634269707, 847.94592024684073, 848.19018856628418, 849.5665565833018, 850.00494298507203, 851.19293298776779, 851.56346825057221, 852.27854801490082, 852.86228849873919, 853.37171255428916, 853.62357562417219, 854.14026783198301, 854.84523724602593, 855.41294985386037, 855.47146197425138, 857.47460485620502, 859.23573335532046, 860.37349397614753, 862.15654444757206, 862.31849510837958, 863.73304142559618, 863.89830302326027, 864.87916642944333, 865.83219365139757, 866.23268551627393, 866.76002492704743, 866.85523683539395, 866.88314291887468, 868.07310422759531, 869.24652506010295, 869.8297662352951, 870.10893090255479, 870.37819916714932, 870.94508259347765, 871.54262273631673, 873.10288633533094, 874.40654930595861, 874.72354579133435, 875.83443379326377, 875.87192074963014, 876.93095651934834, 877.23036161166965, 877.47659433282899, 877.84406656319027, 878.36931561190409, 882.19169477937407, 883.62861449242416, 883.74424905791193, 884.29931343313308, 889.73776054455243, 890.8682591419755, 890.9619739661008, 891.1753705384441, 892.71734508899067, 894.04589764785726, 894.82433249212943, 895.21156974780081, 897.16606524377562, 897.24186195052516, 897.31326422983295, 897.36764962875066, 898.83390422100126, 902.29130805610737, 904.48745363722048, 905.53179862043169, 905.94783999134563, 909.68017239615767, 910.78031599711142, 913.37581072240039, 915.75861099030567, 916.36333041062528, 917.24295697039099, 920.37094996296855, 920.67333915244228, 920.86871470449864, 921.41932639704851, 922.93116472424117, 923.23634295307613, 925.79879329160667, 925.86322066614616, 927.60795820042779, 930.21329206047938, 932.18530488385943, 932.55614590686901, 932.77970043015989, 933.6510117738643, 933.78281351929093, 935.6128678549851, 935.71267377378933, 936.5924067094428, 936.63925442707591, 937.67207451757201, 938.24175185370461, 940.02807803327175, 940.06110925683151, 940.36708917575754, 942.52651952464782, 948.43568043597588, 948.56367314033332, 950.20747865999351, 950.94874542119874, 952.31576721893987, 952.61749827253334, 953.45318530053555, 954.0155333124203, 955.35280130610647, 956.57957594983509, 957.97058467630291, 958.98084162217344, 959.01506642112815, 959.60451180788868, 960.32125451327363, 960.83909895387899, 962.04087744757135, 967.50726036325023, 967.95657812072352, 968.54463441185521, 968.67625461471005, 968.86891087415825, 969.29430776421293, 969.76090967598054, 972.63704709216552, 973.99061657368418, 974.49711871355453, 977.55364547217459, 977.87172001626334, 978.95702282947639, 979.15152387228977, 979.21183882299056, 979.75771261425268, 980.57209304332821, 982.49125187899824, 982.55093646715079, 982.61281903290057, 987.10082342343264, 987.74526058598008, 988.52317908186774, 990.08126247302414, 990.35384269050382, 991.23155699656479, 991.80461431104595, 992.25003841492219, 993.92810239885171, 994.12330931010831, 994.32152938827744, 996.64216981741993, 996.87691315745406, 1000.4364422004005]),array([92.573724025008204, 95.762996934010829, 95.783746354098795, 96.720794240235662, 101.13828353061437, 102.43801294448686, 103.25494252093355, 106.85352890154398, 107.33646571813007, 107.41872581841534, 108.26253974461842, 110.79010358810686, 111.16519561976655, 111.87559084969814, 112.88283751835002, 113.28221919945786, 113.80937623266871, 114.78696906429798, 116.39655059997773, 116.43967698541692, 119.76719175408516, 120.29177059582304, 120.6805006232407, 124.22559729618588, 125.04354208553615, 125.22275390455178, 126.94537443475799, 127.02962727949492, 127.13001602191632, 132.14216079727061, 133.41678887056102, 133.57084798350311, 134.91463014160988, 135.61038081335778, 135.92186695518384, 137.66929996434121, 138.12315302954659, 138.67031912797222, 139.57586694154577, 140.36553657609457, 141.15768215720908, 142.84592518123418, 143.60364661848595, 143.71919511017515, 144.97450457693614, 145.98091328228631, 146.29949515637554, 149.58796617640303, 150.57407140785668, 151.59050515208699, 151.68663839495161, 159.32827468872276, 160.28993844230848, 160.79048095890769, 164.45344688766846, 167.33325514273449, 167.55593514743981, 170.71614246468673, 170.87937826256834, 171.40330714984961, 172.12311052473731, 175.54689534259154, 176.33687492409925, 176.87509681800304, 178.41527957604467, 179.44604258526954, 183.61565415526218, 183.69444769118812, 185.92398169154612, 187.14040226408071, 191.78364450171168, 191.82677515895026, 194.06150510279875, 197.85334977353267, 200.15771908341901, 201.00039870548926, 202.24959812471789, 202.45703520043628, 202.9379329704461, 204.14700477419009, 204.97568146627771, 205.26530847136902, 205.46843556279816, 207.54623410733214, 207.70922857315338, 208.81874144821515, 209.16377745926104, 212.81397975360343, 213.2735421614816, 214.30663168762868, 215.06618600486226, 215.16435703969114, 215.86848275230776, 217.24436639620649, 217.4493594700709, 218.21440182604027, 218.86545207461253, 221.20286006367044, 221.38521016648795, 221.64231040958592, 222.61979405042746, 222.89568813218327, 224.96004109706104, 225.23786834492179, 225.64972957580738, 225.86050732765943, 230.48801297715843, 230.65530348666897, 230.88586602307655, 231.05358129492996, 231.4356340491446, 233.49690057526547, 235.63975440895709, 236.5753155657813, 238.57527749741229, 238.81716933005927, 243.24810835826213, 244.01794122054571, 244.73559280473239, 247.36358421745322, 247.65039555830566, 248.69915758053406, 249.96069085745657, 251.36258818149915, 251.45598183807499, 257.66330221516995, 258.15776822339058, 259.80659053668768, 260.0627571096702, 263.28992738594599, 263.46771474160903, 264.11441393173038, 264.56972416907922, 265.38248684600001, 266.34380374884, 266.69312820006849, 267.21768104206103, 268.33637179487926, 268.44322869944784, 270.05433785636308, 271.45954804116133, 272.21197014660368, 272.7133036916083, 273.06538739617986, 273.10081998268038, 273.38704825720009, 273.6140769847201, 276.36560278821088, 277.00815530046793, 277.70881213450463, 278.55139550465162, 279.04086928432804, 281.7913447912585, 282.8143585300561, 282.84566559836833, 283.20622707412031, 283.24401936007257, 285.43370154907853, 286.0812846765366, 286.30430141856192, 286.71914590120832, 287.71221992501592, 287.917603218409, 288.03952427900589, 289.01951537425981, 290.35898960679799, 291.35128684039182, 292.23998160217587, 292.61534170595354, 293.74986299357852, 293.98421551620805, 294.08640941645791, 295.06896714807743, 295.93085891987897, 296.65058913937924, 296.80274639007069, 296.82815832807574, 297.71620040556468, 299.25564266538504, 300.17194856299778, 300.6217989356395, 302.90097812306288, 303.36810128174511, 304.96225927115381, 305.62862518606119, 306.50905406514812, 315.63698491298891, 315.81990714849417, 316.30714700633206, 316.65342861491177, 317.85131309574706, 318.7423001652578, 321.89831355220912, 323.10800089048593, 323.37869550541825, 325.09682356236704, 325.31693453595801, 325.73359265151248, 326.76817582703114, 328.19896459558646, 328.73629991648681, 332.46164973140316, 332.5734031928904, 332.97032221533891, 333.58181887836326, 334.73275144105025, 336.74120895492638, 337.65258847434717, 337.97198480297016, 339.15700775498885, 339.2725479228306, 339.40733797270252, 341.87203711464673, 342.19026633325933, 342.24419515812741, 343.25825973335299, 343.45592171223876, 343.91758508072996, 345.28389242360078, 348.09053898808202, 348.91074914092587, 349.60024562256046, 351.29595458403276, 351.57246351444797, 352.29920926655058, 353.28006707413539, 353.42039354147772, 354.5113902247229, 354.92213747858688, 355.00151380800003, 356.12230091618164, 356.37408700230571, 358.68368724782414, 359.3454376211613, 361.24042004517321, 361.63414255389409, 362.70289033824281, 363.82815081132475, 364.59892342903566, 365.13413133787498, 366.51787371935905, 366.91022244840281, 367.07282129480262, 367.14451967114053, 367.4854816497737, 367.88721542457751, 367.96815946114089, 369.24117609351913, 370.7376020747069, 371.08165473389511, 372.11686377246139, 372.96671393894758, 373.52407945307408, 373.66925813672168, 373.95372162525621, 374.49978911849388, 374.7835449005247, 376.13714879836107, 376.88943035603774, 376.91378155289533, 377.23629127865814, 377.43724161337894, 377.84221136626167, 383.9784971270696, 385.97363761739035, 387.25811973796903, 388.88846805778121, 389.41295137581744, 391.86351755385493, 392.5248750929066, 393.4482085203885, 393.64475611957226, 394.08570255553997, 395.22181418945405, 399.28372246147677, 400.52789423846889, 400.79915169653987, 403.24657025220523, 405.39627286969863, 407.63918258542367, 411.44347425730399, 411.87012187233921, 412.12970244091912, 412.9385340604602, 413.23742509874199, 414.11104601375797, 414.20937182658463, 415.20491667701913, 417.58900197714667, 417.95271705912597, 418.25143597996794, 418.75762092587206, 422.94051790584314, 423.98629088196947, 424.96464179659841, 425.28443285425067, 425.55422611730438, 428.61456103591155, 429.29514245041531, 430.57574980271136, 430.67617279674181, 430.90734063188245, 431.68610352160641, 435.47413900517768, 435.86203987353434, 436.02693321268976, 436.17181460554104, 436.82992054927149, 438.19320353961382, 439.56260398705996, 439.70438490824449, 440.05545568934946, 442.01213758783587, 442.04097108790512, 443.45957076683885, 443.90244870259733, 444.52814763700343, 445.47410056954772, 446.48281827527899, 448.67913753613277, 450.30430247885022, 450.36766334882032, 451.01804103778744, 452.82506220289395, 453.91719570473265, 455.11983336013537, 456.48764887108888, 459.04349036222476, 459.55068729769573, 462.54612270440049, 465.03304263175772, 465.19002306556456, 465.28954798388014, 465.66295644543476, 469.05938460828486, 472.84980021907137, 474.85693366404973, 476.75715484052637, 477.52121754904101, 477.65855745031757, 477.79550826109352, 478.86420941528274, 481.00415878427344, 481.60324055064007, 482.10861882729756, 482.2774592708177, 482.70749847261635, 483.67052116672721, 486.12212666169313, 486.40865708311838, 487.01695452475104, 488.88818295540045, 489.64535626456581, 489.70187404871768, 490.86214832838584, 492.07431254860927, 492.42491628463011, 495.52308788984112, 495.93788046740184, 497.55761184186969, 500.35149863129948, 501.46416777649358, 502.76791431656108, 504.78160290091824, 505.40946522037115, 505.93369315010301, 507.21900530637663, 507.27290260848059, 507.74303645167322, 510.25741204876692, 510.47336908255369, 510.92763736785315, 511.3719946572773, 513.62559483170912, 513.807177866399, 515.16845919079185, 515.26761335823926, 515.84153805954202, 516.16761701399082, 516.41605629620346, 517.88070958549008, 518.98764863446274, 521.16938592071813, 521.45503140512244, 521.61267440535721, 523.20285595589019, 528.35308576288651, 530.11922897624424, 530.4326589018458, 530.60499763748248, 531.69201713865868, 532.83841426368826, 533.1918112639521, 533.34858099753922, 533.78097965553673, 534.1360389069838, 535.38803194021045, 536.36424780397067, 536.63317772490677, 540.64186233504734, 540.75601654467425, 541.60415588783258, 541.96055985475573, 543.41312327051617, 544.85976304968017, 545.54814157800138, 546.12682023949731, 546.48954145859511, 546.7182528466368, 547.18055292308634, 547.9915333272611, 549.60027526259455, 549.72468283783837, 550.24646951882744, 550.49809800153707, 550.94951836259838, 552.11834895710444, 553.32886686272241, 553.41399079950043, 553.95819992140321, 554.0523629900531, 554.61769868587294, 555.84453851151477, 555.96243618134179, 556.09723461806789, 557.85861635525146, 558.12949808429573, 561.51041053855022, 561.57857654121801, 563.3408665361253, 563.64217369931123, 564.35886099517052, 564.6485271877176, 565.21297681366684, 565.30052919509239, 566.18735179590112, 567.690879459489, 570.40375934274789, 571.51207152957863, 571.66620913625331, 574.92446454212677, 575.99547325020785, 577.43043249359005, 578.00948778679242, 578.65846628324391, 578.79100623635043, 579.22344120338983, 579.81829359765493, 580.09723395654908, 582.08196339463871, 582.24966139919468, 585.59506769054042, 588.21820082699969, 588.43202473137376, 588.65688442061389, 589.38053385744593, 589.93174216780301, 590.05969884633691, 590.1884036244785, 591.20447984505927, 591.36320101841341, 591.60062501838775, 592.4798780828055, 593.40599443546739, 594.35421063371655, 595.96114379910637, 596.57424254997261, 597.56386212486166, 598.50646364279839, 599.01919017524881, 599.80193636895081, 600.20712197670889, 602.21606593734111, 602.34746734295936, 602.84694561178719, 604.16504184685812, 605.31039836697812, 606.05244958937067, 606.83966038699816, 607.17681153453259, 610.39439135305031, 611.6130326050353, 612.15475956123657, 614.27500111166887, 615.15848773675248, 615.4652778980402, 616.10861163295067, 616.71408560470843, 617.56570282661426, 617.70495597632635, 617.92668013804109, 619.21569653417328, 619.24393065769971, 622.49237277429916, 623.69738015170321, 624.38356656756923, 624.70730297558407, 626.17027737541457, 629.28884214942866, 630.27564695298304, 630.41507198361705, 630.96960097701594, 631.03898003287509, 631.13741501779248, 632.23258057401358, 633.01901216644205, 634.07394197751034, 634.60258358261933, 635.92864111351594, 636.2581712772336, 637.21104784323506, 637.71709933204261, 638.54576435119486, 639.07569099733178, 639.59817546164686, 643.29625876680996, 643.61140367643304, 644.47169262960676, 644.60636411925634, 646.69222734820346, 648.92768562379331, 649.37401008515315, 651.30008567927678, 652.04228100298678, 653.19509206870578, 654.54121291673789, 655.22710610928402, 661.3907799531064, 662.09037998831275, 662.11790831408257, 663.58145903677928, 663.61586561618776, 665.14663858008464, 665.24543295718809, 665.77557680900543, 666.40770506084698, 667.50606091528903, 667.82216528773824, 667.90167013908876, 669.17204190598272, 669.39836332817833, 670.83639845318919, 672.07768952030699, 673.037841135436, 675.89068532276349, 677.85351674069136, 678.01285503433257, 680.5325948994946, 680.95704980169546, 681.49243238525673, 684.61744559760564, 686.2684062647437, 687.60730792197205, 688.60575793439966, 691.2156750103768, 692.7940423016106, 692.8400745091235, 693.41326631534298, 693.55536870723711, 695.68449053435575, 696.21274310121521, 697.6018907712313, 698.03470379860551, 703.54849512687611, 703.7838188548385, 703.99401584577288, 704.47081226968521, 705.61035446538187, 706.21323995792045, 706.39587185300729, 706.8976036608849, 707.39877249957442, 707.69450853477247, 708.19216286838775, 708.99604381078859, 709.68842800351911, 710.22839490219246, 710.60388037577547, 711.32644290666656, 715.11467837779037, 716.96582837460528, 717.04871625776821, 717.6608887636836, 717.89197802576894, 718.52085796722679, 718.68119588632646, 719.52827916943613, 719.60830192586559, 719.66457228382308, 721.15244754493858, 722.11508014178401, 723.22278735368263, 724.47928967753558, 724.89482358247676, 725.3056230159134, 725.6484123624648, 725.97563211520924, 726.83613474978381, 727.3068106737968, 727.68126442907658, 728.88479140153117, 730.84154638755126, 731.8607231816386, 732.90141510766023, 733.73468226733087, 735.60064834427112, 735.723137272759, 736.91535255846145, 738.25321035666116, 741.03792851172682, 741.17900565312084, 742.90508787249087, 743.91963480142806, 744.00001280627771, 746.84667168116391, 747.05904520607896, 747.66688331370062, 748.04834698526565, 749.03641338776049, 749.68910604964719, 750.62162190215349, 752.19070740829125, 753.00012079999567, 753.25160228035054, 755.23346022803537, 755.5850316426986, 756.5348682307116, 756.78556728013223, 756.97346930800961, 758.0571502317805, 758.4598359221153, 760.09337959302172, 760.16007925109602, 760.22555735442347, 760.74081644863838, 760.82209170737485, 762.21491692502514, 762.60716849806613, 764.69640046209645, 765.4129251024076, 765.69637312303189, 767.18245715997, 767.56352384888282, 768.26238893847528, 769.50923537843914, 770.7355970800229, 770.94464984284934, 770.96552786701818, 776.59586734822983, 778.02325009480342, 778.99750875289305, 779.57520987832265, 780.30120244670195, 781.7368584724112, 782.41950918835369, 782.80877922851539, 783.27361280805701, 784.12075293131682, 784.80921202926993, 785.62741824772706, 787.36450347048697, 787.60382745466779, 789.18264566420453, 789.21529653111804, 789.35853732246176, 789.63241031721282, 792.80221377798921, 793.33236747790477, 796.46823569430478, 797.18682208593816, 799.47744662711023, 799.66668853532997, 800.53206767242898, 802.60208458291868, 803.43052198167095, 803.59829558964498, 804.54777200395517, 806.13276341886524, 807.34117491043321, 807.86380375287445, 808.37439746049699, 809.51421187262952, 810.75910506887362, 810.79448438769782, 812.13439560223503, 813.5882996175086, 814.99224803601305, 816.3475642557089, 817.44648953554054, 817.52240975183122, 817.81941934214626, 818.68288418139537, 820.9831666604257, 821.69260520774037, 823.12887075516539, 823.18283154095809, 823.98933979865365, 824.12862577561566, 824.43010227298896, 824.47358206840147, 826.26995565295101, 827.23882127495369, 827.65498246351808, 827.98113638942164, 832.12318917440552, 832.83516819221711, 834.44647058051817, 836.00174361602524, 836.90289419792055, 837.39475117702932, 837.44534271655505, 839.17147590658385, 839.51945004276195, 840.58018410105569, 840.88387255914904, 841.90997492453027, 842.43602566393747, 843.78623755645606, 844.15612513099245, 844.25331962853761, 844.65946133866157, 844.86023532865488, 845.11019261064223, 846.77465602753693, 847.77949390970832, 850.42498930332067, 851.09834359158094, 851.29444543686657, 854.73314564719408, 855.28594200288046, 855.34279681699002, 856.0487453053488, 857.42129506965784, 858.11400649275913, 858.51510336499234, 858.87362591882857, 861.49467581366844, 862.59513046477639, 863.42205254791838, 864.43581449742203, 866.5895628165016, 866.7461815312522, 866.91436990048248, 867.01244415836061, 867.19599826465549, 870.9865009955588, 871.64580828060173, 873.60207729087278, 874.56982473162179, 876.46175740002298, 876.58517039791934, 877.13599833988883, 877.42557370543125, 877.69505295354645, 878.82832814236008, 879.0734920563043, 879.18424504704274, 879.36523482462007, 879.60111658624862, 880.4336269835336, 880.52280267042272, 881.02498078834901, 881.36416900602569, 881.46176314225136, 882.16827083937221, 882.48691781424145, 882.5658897110543, 886.91242652237406, 888.85487198387852, 890.38998350420411, 890.60933314401541, 891.47238964351129, 892.34978999185716, 892.81254657213128, 893.17149742138793, 893.82903525410393, 894.93911231064226, 895.47133867572518, 895.59518029478454, 897.72299772436008, 898.12122201341276, 900.22548931926679, 900.32388582501096, 902.39768703857874, 905.15238781374876, 906.08358851860601, 906.69523283514752, 906.89898016160237, 907.45893399904662, 908.24674497493504, 908.51681148455043, 908.60680127726755, 908.7142587563867, 909.47445758810352, 910.22749529624571, 910.25737137884164, 911.47114950786647, 911.6603035058157, 913.9272062524293, 914.88092555454125, 916.6673682859589, 917.53210382089105, 918.61560906713021, 919.09463938480815, 920.19202380021864, 920.53237278759389, 923.42348299376238, 924.0047992836752, 924.0424781011493, 925.94034242411067, 934.01172346961687, 936.75766012580914, 938.10905076785423, 939.55497774389107, 939.69842988036828, 940.76349198458138, 940.78424896741672, 942.78436307172421, 944.06503138378127, 944.51682855497631, 945.93026108537231, 946.22234825366525, 946.2843708202488, 946.46097383374695, 946.7624019138633, 947.45308133432491, 950.65530499184945, 951.82530867498633, 952.91561835014818, 954.5144555443037, 956.63605654868229, 956.8899060869303, 958.11046216109355, 958.64875633484371, 959.17649274764074, 960.50118031467082, 961.9731722666038, 962.04114998071782, 963.80501141278307, 964.17473602380903, 964.45362690519278, 965.26825228011728, 966.675883247147, 967.29271684955245, 968.10284748324636, 968.64485674800051, 969.42509471215931, 969.60769214252514, 970.41619137068074, 970.8730143841899, 972.96738119293263, 973.056168272631, 973.41927020066157, 977.0804117279622, 977.24995292776941, 977.7865986739173, 978.49014050637106, 978.78167692495094, 980.0648999373783, 980.97702060147094, 981.73051368889321, 985.30676295444823, 986.54663838719227, 987.89107870343003, 988.63973967123252, 989.23375480416928, 990.42913223012272, 992.03130855043935, 992.30175373041641, 994.55870551227656, 996.94527869599438, 998.87553112177636, 999.52695177038675, 1000.2696044435885]),array([83.240007394580147, 84.444772156191021, 84.487434394524897, 87.868181756952694, 90.18346852334588, 90.541547576129403, 92.605635968865045, 100.42268932167144, 101.37873351822064, 103.73588534236289, 104.16496807696718, 106.78297316856825, 107.90417132389635, 110.34263555142006, 110.7888079548876, 111.18267500649912, 111.34633921865955, 111.68198432785063, 112.36256753163633, 115.97813033128502, 119.68903144229493, 120.87581228367875, 121.37711750868105, 122.34970515458762, 125.03940793442904, 125.38687414604635, 125.98168073429902, 126.05137931023093, 126.38903293908034, 126.74882457500748, 127.0523149763706, 127.4610822380245, 127.88333713608954, 128.6892445635284, 130.33586529531362, 130.46155939122366, 131.29215905090993, 132.36221832117317, 134.31811159471624, 135.10124851136334, 135.54529071753839, 136.03335346944135, 136.84879202185496, 137.59131171714301, 137.85966511082819, 138.21653098308352, 141.10257471049511, 142.26693837760891, 142.62641002472483, 144.87355583280029, 145.42573825266334, 150.09264678691346, 151.67858815880612, 153.51408139329126, 154.19469269603601, 156.27073949865093, 156.49697560262288, 157.49853979245015, 157.78002621342728, 159.63466958963693, 160.39081391045886, 161.00587942897172, 161.11389626524209, 161.37382512036848, 161.49160857649846, 164.95925140785258, 168.36566696657221, 168.81564985622668, 169.02961757746695, 170.54351597115209, 173.63745304921545, 175.12298654748417, 175.96590081281269, 177.86531514550018, 177.97446940172455, 178.71638436080144, 178.80220854172728, 180.29847275164244, 181.58097336035436, 182.39012720978801, 182.46257478320814, 184.54510282698769, 185.56249551278884, 187.30526914133785, 187.80595703520029, 188.76297821833512, 191.44100643807295, 191.95999573489729, 192.75164704665997, 194.30881424704799, 195.70815526065624, 197.37388327467482, 200.6924051199091, 201.15777034412446, 203.1991348040882, 204.81813228578076, 208.04347709347479, 209.4112010750186, 209.85376541277844, 212.91510037320222, 214.53953456092873, 216.14837747003025, 216.86949539284902, 216.98602922161882, 217.4675628629997, 217.74090079085707, 218.50630516125364, 218.5741114737429, 221.14895684348957, 221.43745970342846, 222.78554445737402, 223.15080394194794, 223.38234564914583, 223.8836347552834, 224.38234580354697, 224.9123978500682, 226.10221703096829, 226.68724660267856, 229.25209778625191, 230.64508480134666, 231.41152632305153, 232.44680806307846, 232.81671306225911, 233.03404314961801, 233.45525271767275, 234.3592747247088, 234.51337135879834, 234.67421838875549, 236.60464530163148, 237.88274754870591, 239.44560373370908, 239.89277112861294, 240.52232459927629, 241.69261094619227, 241.8989126177178, 243.29035460519887, 244.86661028621967, 247.14885100536102, 248.33173348526532, 250.9512952864344, 251.57874348682685, 252.56261850617523, 253.18854051533503, 253.52338599162752, 253.67469639098863, 254.0692089755855, 254.21734698822598, 254.25237240389114, 255.19473224307939, 255.82447424193813, 257.4904197060149, 260.95614495141172, 261.46601733121958, 261.72123339572801, 261.84649935085508, 262.48827513504784, 263.51917679811828, 266.66640573127182, 266.83605625574666, 268.01224565915226, 268.25754517936724, 268.81784934837106, 269.32211041909756, 274.6628517327149, 275.70902722909756, 276.06216292438705, 277.98523657372226, 278.26431805137105, 279.18872675394425, 279.32495321805436, 281.96628426919722, 283.38666835066545, 286.65887741172259, 287.08919379572154, 287.49803603229924, 289.19619040757198, 289.81535556194643, 294.74230937537436, 295.09246193643469, 295.69433593282974, 298.03928622967902, 298.7522695487695, 299.42697847792329, 299.50770117946087, 300.23177331570201, 300.43021720562353, 307.60993311040443, 307.78299095390963, 308.32295734315386, 308.5240501285337, 308.90423143854986, 309.60233216419584, 310.60034480583244, 310.68228910946112, 311.218692661631, 314.07732864880262, 315.51919231274053, 316.88609559397543, 317.64142912260974, 318.99231052569718, 322.62516448688268, 322.6686314768109, 322.73746523546708, 322.82879435731041, 324.90362155518483, 325.70357821714163, 326.08063422668693, 327.44979804077832, 328.91747669549466, 329.39134166654611, 331.25632443050847, 333.04368278575595, 334.0548868598533, 334.27615169071908, 334.52939014332787, 337.66125123745854, 337.74027164111561, 339.84192827533792, 340.38097937026726, 342.69147610149491, 343.40819572203344, 343.54363633515783, 344.1959239299149, 344.57593932395196, 345.36749923816495, 350.37932326602026, 352.04780502915304, 353.15356980255473, 354.10309825809117, 356.32520212251347, 356.48354715820318, 357.32275967158159, 357.48155658150688, 358.55721310581953, 360.57417445596451, 363.66440490784527, 363.7166799748793, 364.46239918529142, 364.50787396317895, 366.91447726650756, 367.37631965087172, 369.70494910155571, 369.83670755836289, 371.22554301047359, 372.40850809069599, 372.52076340059619, 374.70776434172012, 375.8261034800222, 377.57815089819616, 377.8569977977138, 378.29591334512543, 378.46552556138937, 378.8979805124244, 379.38216215730489, 383.64914150378627, 384.05690562988553, 384.10240651783664, 385.2769493012886, 386.48580596278754, 388.43718425163388, 389.46130145140501, 389.58549726757946, 389.8365757010879, 390.31326915543792, 391.28807635313331, 391.85274870097692, 391.97282500830312, 395.12607309769641, 395.46812836498054, 395.77485182875495, 397.561563624673, 400.00318337854787, 402.07176838403734, 403.50980657752336, 404.24773353642757, 404.35983582004746, 408.18149209297098, 408.76756369978324, 409.11472631926074, 411.01012252933651, 411.22601149799812, 411.83628298826699, 413.12190293237802, 413.70349745103698, 415.09761160661355, 415.57780210625612, 416.44039304016752, 416.7249012071581, 417.67706917383987, 418.3178575717605, 418.62034985510849, 420.61792474475845, 421.30505085524914, 421.52576602665073, 422.10288418093069, 422.87170128089031, 425.88432450926507, 426.1149385078474, 428.10837602149547, 431.07659130933899, 431.2766025571334, 432.52394888025464, 433.81947588330445, 434.90540473499925, 438.47851292948866, 438.64875767934961, 440.78201696878205, 441.54049882497128, 442.95918409228108, 443.51665871444294, 444.19549937057184, 445.3569548426342, 445.95630600412642, 446.51678564439578, 446.86065183557992, 447.52990960592803, 448.17741605109302, 448.61807885237488, 449.44096091128438, 452.84492281336213, 454.47289104486129, 454.5261715203103, 454.68540799769374, 456.8211367760324, 457.47939088712451, 457.90167239314439, 458.31371418820453, 458.34498797387891, 460.0688164738778, 461.8354175296721, 461.91955728596491, 461.96492167380063, 463.44531350338264, 465.78298337430249, 466.44407176475806, 467.03554823602724, 468.00363058419117, 471.16715342684705, 473.38680726255274, 473.92120393335074, 474.56255028075157, 474.91349064192298, 475.02952277064236, 475.75004869764587, 476.21395203279036, 477.30034986841986, 479.84332410805951, 480.71879572344699, 481.23433934548001, 484.31411451774562, 487.05280276981642, 487.07404951503219, 487.17723308162175, 487.3891838158271, 487.9360459507684, 488.2529246445385, 488.96823783183754, 490.93286531719923, 491.44009497824266, 491.67011684104671, 492.40817940581189, 493.33010817926203, 493.8728734095302, 496.01733968113177, 500.02229001553036, 500.42875580180811, 500.53912684639391, 502.70578524130366, 505.77444795946656, 505.81091288651771, 505.84160021870326, 506.10605324895283, 506.94418410378955, 508.21942388102207, 508.82903649609483, 509.30088415472301, 509.5793039456625, 510.40284773975208, 510.48701357940894, 511.29872926675802, 511.91837892455004, 511.9409504714705, 512.97363051033119, 513.52667272079645, 513.95122558716366, 515.27075719343088, 516.08178645686121, 518.79385112580144, 518.82504611599245, 519.64473881032109, 519.71327928687697, 519.92025724878761, 520.28227975479354, 520.76119162595126, 521.5179530674518, 521.68408366957181, 522.51873121133622, 524.9163714305198, 525.02631348555281, 525.11558608379403, 528.34293876886898, 528.77875544465633, 529.05395771373696, 529.35761633229981, 529.63118817511975, 529.67755405776859, 530.0684486013331, 530.1963639784741, 530.62946756801898, 530.82676070136949, 531.7988928963216, 532.34037357284683, 535.80351731202461, 536.21550458605714, 538.64666834273248, 539.88524198775508, 540.38538878256747, 541.52321851177317, 544.73470338925495, 548.49166508053077, 551.28316399448295, 551.36139983079693, 551.54064751271437, 552.65976528400699, 553.12886971662624, 554.91116649966068, 555.31725270588629, 555.58875313141039, 557.08069210173721, 558.18396766837009, 560.50628791283145, 561.06755147309127, 562.8864577907558, 564.49398482138588, 565.87801232999652, 566.43009382613104, 567.81746473634996, 568.14287946232889, 568.66935405743152, 569.15811421144019, 570.11101479501144, 571.09785101546822, 571.29939177628603, 571.48413088912309, 571.85300905685449, 572.34266197492946, 572.69052194593542, 572.83296513327866, 577.24573257529016, 578.23591743545103, 579.56348277527013, 581.16717630001676, 581.430936559467, 581.49723038060074, 583.54008827551979, 583.90179203830598, 584.26337558034095, 584.41309546766388, 585.59783111411298, 586.56682945643581, 587.65353007324654, 591.91486754014409, 593.3895368211372, 593.49123023893708, 594.4465054521304, 597.04139042577015, 600.44017674289614, 600.83629438008711, 602.49283235198357, 604.33845389303087, 604.61670113958144, 605.04908126219857, 606.33321671024964, 606.61926762358132, 608.23483323487358, 608.29927428790393, 609.89308558077164, 611.89644612739664, 612.62746326704314, 612.90905055942756, 614.75665412206445, 620.34350626619039, 620.51045864783009, 620.59996505057632, 620.67153342825361, 621.45410322409305, 621.58571088657254, 621.79849555419571, 623.51149758247072, 623.55734861688313, 626.36063018437073, 628.98144831231855, 629.96044207976081, 632.23015232962621, 632.88491995858146, 633.08236809889445, 633.13075916136518, 633.16652695268476, 633.25360741561292, 634.32875432219771, 636.18564728326714, 636.53581774053396, 637.22587048401931, 637.53763260071707, 637.66235389100837, 639.7454771224393, 639.82642306100558, 641.00048885211038, 642.61645329287808, 645.57427970338949, 646.50927324602594, 646.96492596126495, 649.51823065956603, 650.26977999604674, 650.83750416276689, 651.2472188938267, 651.75780442444, 653.3685005308721, 653.6414470855924, 654.37885267559091, 654.8371300940089, 655.10434069291011, 655.69247689101962, 657.92385270550972, 658.29728575448587, 659.46690428080137, 659.89213058916266, 664.15475746365246, 665.19606584118469, 665.31191655386851, 666.19642671488532, 669.57465681883525, 669.66609383386447, 670.9355764213891, 671.09320678266738, 672.72406433120193, 673.00096779199748, 673.87086443734051, 675.25679060615596, 675.46382937553199, 677.20147685173606, 678.39928502508189, 678.45125862348016, 678.52070723390489, 680.87798565794697, 684.68334084492778, 686.9338935145264, 689.34136612762256, 689.42645974097252, 689.86397997002268, 692.39631701872963, 693.33408149589161, 693.60803179352115, 694.6979033458714, 696.6623194790867, 697.10090484205205, 699.96808128063685, 700.02878082940231, 700.24554385225588, 700.53843913028948, 701.18812449096993, 701.43218323894223, 701.63012186452568, 702.30538415664387, 702.70258934315495, 703.40502538344231, 706.6917423248135, 707.01185941647873, 707.18339339224917, 708.02229665074094, 708.42388667612386, 709.0091891183996, 709.55345367124346, 709.79840837156507, 710.4272661103505, 713.07943563215679, 713.26674967374026, 714.11384828135579, 714.45850761100678, 717.16145920264125, 717.72328622290922, 718.08152568599201, 718.37373790942172, 718.94735139952286, 719.94034326588383, 720.8315247296282, 720.89928440326764, 722.35916662491968, 724.03775203319219, 724.22403401253109, 724.56086756452441, 725.04033136972964, 725.0712359586887, 727.2863129945697, 727.90271791022803, 728.78137150802627, 731.15539782457392, 731.23085559199012, 732.8094649161477, 732.97573066967516, 733.73268567423384, 734.51492992326359, 736.29504641009498, 737.07574070355952, 738.58049928363585, 738.66702162084164, 738.92732740472843, 740.32045153645333, 743.66509286964254, 748.19320339187789, 749.08460025333682, 751.90988753763145, 752.3766245500583, 753.03294501509106, 753.4301564946594, 754.47082823547942, 754.58933295309907, 754.63748404325156, 758.04710835354717, 759.0051687472868, 764.50259270677645, 765.55245695341512, 765.64514474190003, 767.10229622301563, 767.12929461259728, 767.56537208370798, 768.50094338868189, 768.95657644716982, 769.32879805600714, 770.05163829766468, 771.4391324120802, 772.99318179078932, 773.390707451298, 773.85510004922548, 774.01677355525317, 774.26073590284625, 774.50338629277485, 776.23180917409138, 778.09722710646406, 778.5073438982397, 778.53995388840428, 778.98546030868988, 783.07274381621119, 784.4628942791054, 785.28636088870303, 785.32572354710805, 786.50627551304399, 787.79772407030032, 788.36867097296147, 788.76478596531626, 790.39263770796424, 792.40325877145369, 792.71917088876376, 792.94601493960045, 795.0076710288638, 796.23523959430452, 796.84267602275747, 801.15454294961569, 802.51870885873336, 802.76004754421467, 803.83807773537796, 803.85966309342268, 804.76243319109562, 804.97197156100754, 806.403093061964, 806.86860056172475, 809.97508530035964, 810.7429687084491, 811.20237019196816, 811.47902041094528, 812.75538070775099, 812.97097665517674, 813.54800592208767, 813.65301108357994, 814.26869804747344, 814.86673847188877, 815.0785144062678, 815.61714683109517, 817.14021899906209, 817.69381747217551, 818.43088227265116, 823.43055030383744, 823.59437949169705, 823.71153715248568, 826.14964818802946, 827.83811178888561, 828.32948549981381, 828.37928315551198, 828.72270372319247, 830.65257636217291, 835.08908337732078, 835.5878786457514, 836.10833140997943, 838.08805770198148, 838.22599048662721, 839.210218740507, 843.32392065795045, 843.68934332237245, 844.78384526930222, 845.54956227519267, 846.35422539330341, 846.42128890737001, 847.86961521999581, 848.29882360612044, 848.38844169654476, 849.47338215621016, 849.5828684291323, 849.98112410029353, 852.19942807699397, 852.94423268523167, 855.35490783427804, 856.35306541359773, 856.67149969350351, 856.70848381092878, 858.44542947131276, 859.66160563078529, 859.81024738722431, 859.91378371186397, 860.24522996005351, 860.98197732573783, 863.51884169039863, 865.10917611473235, 865.87475682794843, 866.52742195483256, 866.80452072353671, 867.2914822768804, 868.55034684788427, 869.59256568679416, 870.88633159066808, 871.67053251419327, 872.13149748837372, 872.21537442414797, 873.36598792551399, 873.46774823764144, 874.22305165018281, 874.25919996794346, 876.62329456423765, 879.18046823849397, 879.54676158393147, 880.26009355963299, 880.80162693043883, 881.66962705241974, 884.21144852090049, 884.78798140537469, 885.74986251206485, 887.4568522068231, 888.63406300442864, 889.29993468501107, 890.6549269281445, 890.89792872444866, 891.09200628748658, 892.12811464572576, 893.38802212919461, 893.83608222007877, 898.70890608532841, 901.70215007237243, 904.82599645111623, 905.02263087146832, 907.91288934432055, 908.25419044590922, 908.96730988199943, 909.12821989452959, 909.43682459305637, 912.24148335965413, 912.57326954970915, 913.97792960227059, 914.70671412093202, 914.83138395152969, 917.15677448570659, 917.24914887926843, 918.27164019614236, 920.51734000092904, 920.57224140541052, 920.91587666501653, 921.95738488932068, 924.76696848798792, 926.17302753166143, 928.08310485756067, 928.74847572798365, 928.87193059824483, 929.10649161393451, 929.27261153681854, 932.65565927613147, 934.34308600596523, 935.69414777381155, 936.30449225907091, 936.75704888848418, 939.79151528308228, 941.48355470162926, 942.0080036823349, 942.75353699935954, 942.95483220827623, 942.97976214725975, 945.63912350498799, 945.82186750706012, 946.11905914313854, 947.27003464896814, 948.15412731084916, 950.42649126400647, 950.70178974907822, 951.24715673050582, 952.19084795592528, 952.56268631395506, 953.09258537080575, 956.29140413630546, 958.70602883330616, 958.80131208438252, 961.52066547506615, 961.70968496007049, 962.14320755927008, 962.39748669394123, 963.14428666339688, 964.73298452755353, 965.48775487529122, 965.88434014819632, 966.6563283736316, 966.84952429802684, 967.98070580933927, 968.27400842488555, 968.50707768402106, 969.48243181982241, 969.80522868817172, 972.15376844171794, 972.92974119706241, 973.23370804284571, 977.17837235272282, 977.7706610355981, 979.08174257802125, 979.98466638686386, 981.2499629554452, 981.69099913745572, 983.23481062098347, 986.67156174404806, 987.0353966457875, 987.97057799718777, 988.65032007780678, 989.25033148529201, 991.20389730989609, 991.84436792188762, 994.05196531140371, 994.53355283279461, 995.09778869249692, 997.03984101129049, 999.16436858716236, 999.22651181019933, 1000.3638859533268]),array([37.748804846021088, 38.276348650907359, 38.627192916222377, 38.966858561888287, 42.352893535452026, 43.818711148851264, 45.68991523204997, 45.859869824810325, 47.889976290864205, 48.279015266198151, 50.043922923643485, 50.082027849398202, 50.721438640670485, 50.755579716759627, 51.354589564467773, 52.179738107425081, 52.592691202200136, 54.337030952685652, 54.908770000195325, 56.32626353890354, 57.687308633247397, 61.00734220932619, 62.267378782998847, 62.388142654213901, 63.743397391567669, 64.178549206645116, 64.35809933864995, 64.431031703500054, 65.2653834039277, 65.37901229477724, 66.290141898197206, 68.545516966921554, 70.470370416227325, 73.181797915578841, 73.263809522709707, 75.082482341341517, 76.378512516960512, 77.631091635432441, 77.676712068295174, 78.293054522073348, 78.941699117682489, 79.725882571270446, 82.476804208349563, 83.090022084776166, 84.498482032634001, 84.947819897162844, 85.506133486742286, 85.682318889756431, 86.578785023264018, 86.723901210928005, 87.446844084421102, 87.880276524281243, 88.108171409437048, 89.204904367824682, 89.841662126057471, 90.511168193220612, 93.597922790126844, 93.744122786667944, 95.507440262959193, 97.053552151841458, 99.09181165148901, 99.711780337752216, 100.00462450620877, 100.04779288329256, 103.44127789945301, 103.97088748482034, 104.27490083785914, 106.49671551283009, 108.82883206543978, 108.89590438303543, 109.47627955394007, 111.86230015953788, 113.24216135812809, 115.26478926797094, 115.93810099016289, 116.21959535289443, 116.91489790738318, 117.33306219550727, 117.77588542083524, 117.88651015089761, 119.87380991050078, 119.95678165136624, 124.87143183567039, 127.17709245649014, 128.22024943414533, 128.28734593171174, 129.20012626974133, 129.479994600358, 129.71411206184212, 129.84334919166713, 132.45293086873488, 132.82250358901689, 133.81309373469807, 133.97366997134526, 136.12457305238172, 136.20753185093133, 136.3033243695873, 137.01811848478079, 137.3303613067512, 137.76871452469879, 138.68553233601534, 139.80329647687051, 141.9367324975579, 142.46904574107862, 145.39156776675773, 146.83770159276003, 149.73420876824844, 152.20428400262671, 154.34627925748742, 155.15240069295479, 155.73923090142313, 156.06711887154719, 156.88081619508844, 157.11262239661681, 157.43538148471518, 159.23066915026081, 162.62558658790502, 162.96934294802216, 164.35654042699363, 164.89828590457086, 166.52035648714926, 168.48425179239274, 168.79189017864365, 168.94398091755718, 169.23487518425398, 169.88413390219586, 171.3084515045278, 171.94233153050328, 172.50900994170252, 172.58884266521969, 173.56077612255228, 173.85719970731674, 174.11034184421581, 174.16362738149516, 174.20380763714729, 174.22618101569284, 174.72946802519229, 175.145294403984, 176.19940921403236, 176.86736422803284, 181.52046505301712, 181.82590130688325, 182.03037625765859, 184.84239793001672, 186.03751359089017, 187.70066192563598, 187.80284113180295, 189.31817196926161, 190.00364712669486, 190.41493350526633, 193.41883600929651, 193.62420326862446, 196.11051476472818, 196.36649072130774, 198.04952711875043, 201.50222875622345, 204.51066174275905, 204.72218257969399, 205.05230883351004, 205.72478825444861, 205.91071367156761, 206.09880977755941, 206.30107873754548, 206.38551458295245, 208.43553741788378, 208.46895085714959, 209.13103376113159, 209.47808528394611, 209.91780507045618, 210.73939981169701, 212.30684200131185, 212.76941394044607, 213.9244577574747, 214.49393269001885, 214.6812079324034, 219.89921945236534, 220.71581496043848, 221.84689526479053, 221.92345971029584, 222.20330809415537, 223.2554034860363, 223.67420501434381, 224.23413476325607, 224.79698025867575, 224.96814666815041, 225.19894415299393, 225.22222305849772, 225.53392681265595, 228.1504230268701, 228.75955573048998, 230.71450873857739, 232.56132337596702, 234.22160767661452, 235.96282869251155, 236.26673309736472, 236.88827398603189, 237.6885388058088, 237.7426722212511, 238.27500452932318, 241.5184566827028, 242.22144370389876, 243.11518441679701, 243.45906889712904, 245.99871571718057, 246.95560497077184, 247.26962457875601, 247.69537199873173, 247.97178247440533, 250.93093530978609, 251.02966122341815, 251.28679951826453, 251.70599064395637, 252.1365091582208, 252.87027185025215, 256.97035906715723, 257.25623804142305, 257.61688491147237, 257.66255860924042, 259.21991274085656, 259.38274743245864, 262.82561038953287, 263.79172987524601, 263.99032018413362, 265.69065380532209, 266.28092493996098, 267.40769041424687, 267.74805909584268, 268.0645970539303, 268.47856672431533, 269.63227851043723, 271.26351159306955, 274.76589940843371, 275.62104453003968, 275.82319259720703, 275.947970360949, 276.38998348620527, 276.83737646619778, 279.13190650565326, 279.6055313415672, 281.12563070493792, 283.23141631689128, 284.0769271046579, 284.53277589083416, 285.62937590142627, 287.04984224976204, 287.61959228739448, 288.09071526659017, 288.38785850410994, 288.49640564994689, 289.69039966115025, 290.91455157570448, 291.46344441843371, 291.89758794627181, 292.61715723579601, 292.93996187588493, 293.00271742146111, 294.21688333621648, 294.26807172601065, 294.34303845952019, 296.70475829286306, 298.52634692209801, 298.68709438323157, 300.22657995414795, 300.53249740096106, 301.38168622285917, 302.24809811361644, 302.63959713683522, 306.19916342829646, 307.33814736024624, 308.69376034506945, 308.86887623646987, 310.11168115449897, 311.10852650558883, 312.92933413774779, 313.98493179370791, 314.34009459752502, 314.36067393850283, 314.43687983225578, 315.91063410571797, 318.69310702251164, 319.1035777044014, 322.7080927170752, 324.92186940272006, 325.15141877888937, 326.25881854197814, 327.25210153255716, 328.27011016127688, 328.82977337289009, 330.49228040029323, 330.53084355691698, 331.84155309353838, 333.88897115159062, 336.6344023009857, 338.32423143218853, 340.38158801501083, 341.86666304077266, 342.00414464272308, 344.08300606870671, 344.80454661737514, 345.59004490888691, 346.93980935488986, 348.88319189981132, 349.27581102760161, 351.07696772151297, 351.71042300194051, 352.57811451813484, 352.89351646517207, 354.0413303830727, 354.19829215118972, 355.21081263780906, 355.75280650185533, 356.02047292311346, 357.07533573686527, 357.85819963315248, 357.89453245980195, 358.36947070245077, 359.55313083678601, 361.31578639939579, 361.52386195872737, 361.94004111069557, 362.55465940401029, 363.24807377366244, 363.54217201175862, 365.07810151053366, 365.19013457070224, 366.91037873305851, 367.54327265247662, 368.03449978756851, 368.99661084599393, 370.33163601159993, 370.79087601521411, 371.34194370896756, 373.9948437513803, 374.48430604175871, 374.69817939925923, 374.87900423500633, 375.56364733390672, 378.83680850171498, 379.12946546352828, 379.51028148697611, 381.0342459003632, 381.85376902246344, 383.63333055890382, 385.63244265846345, 386.41660553450652, 386.68930594719137, 387.12504614310467, 387.24227704978654, 389.88511291038122, 390.85715064651163, 391.19095329247187, 391.42793093345216, 393.73619959109084, 394.58097771294882, 394.82679051285646, 395.46988007827792, 395.81001715974566, 397.48625905231899, 397.66087013507445, 398.56725191655789, 398.62267633933067, 401.3986973135016, 403.15204689467856, 403.97012482908735, 404.78450408168771, 405.03058296682713, 405.9383195967107, 406.06457198346277, 407.30915110261469, 407.34698709653196, 407.76357620182932, 408.63557350958536, 409.45928234127354, 409.97512155076265, 412.94875551597136, 415.04680801571192, 416.00746214317002, 416.2469212398056, 416.95984787065692, 420.68285115747375, 421.8799486225239, 422.08785442941712, 422.4139356928784, 423.46195193208223, 425.13146822175037, 426.15022939838138, 426.297293130767, 428.81312980157367, 429.02648207569604, 429.08634806544291, 430.51945471612731, 432.13098395472309, 433.10089838845443, 434.40679582391692, 436.47761652730736, 436.96626938513424, 437.02928061273076, 437.13467971242136, 437.89269161563101, 438.37898610729138, 438.69253023954536, 439.05114919262763, 439.38279131672306, 439.48245542137147, 439.61373458188939, 441.36206117461245, 441.92840176795539, 443.25162756892968, 443.58801669097187, 443.76106484795395, 444.20559665573029, 444.97226968420051, 445.07179922902469, 445.43948864481376, 446.60739010528789, 446.98243717952516, 447.53235301413184, 449.58705260776708, 449.90920291271675, 453.40680811604506, 455.22656538864192, 456.43433749791427, 456.73022609553954, 457.50645655874411, 457.8316157985401, 458.02128839788213, 459.19500661369688, 460.03154323784264, 460.47128752387704, 460.86630386006726, 461.55488935288741, 463.04974020706163, 464.28202943518352, 465.15116347049394, 465.62174592387743, 466.87567601891232, 468.14104908742479, 472.36422565539664, 473.98936759950891, 475.20328741591436, 476.40645849622967, 477.6114408549418, 479.00991740556412, 479.0596585326756, 480.16539755035564, 480.82142734522415, 482.01741904303282, 482.0879836615357, 482.20225906168355, 482.27290896558856, 484.24576361230913, 484.27664596702749, 485.74871806696018, 485.83382941128724, 487.98283059748633, 489.71642684606928, 490.2126446198169, 495.14764949601187, 495.63673896893124, 496.58471044871106, 496.85468229814086, 497.07774972725542, 497.92239665580036, 498.56327503882062, 498.65290447974775, 499.12731345562747, 503.53076311484216, 503.71577085452788, 504.23511558734555, 505.41292561978725, 507.51286432272536, 508.14343058228593, 511.12610924839305, 511.56606259569867, 511.58847909580948, 512.02632033434486, 512.22558982330679, 513.31457703962678, 513.53976318308594, 513.58316901978196, 514.95462262308229, 515.42240329265348, 515.61289703347313, 516.4040808653225, 516.93861030648532, 518.32235645226706, 521.45021366962249, 522.00834636568345, 524.27275483152494, 524.5284789573866, 524.87521936850283, 527.68281279976316, 528.73654617562704, 529.03537567546982, 531.40729905860462, 531.63987522836464, 532.81950716094218, 532.84061806396062, 533.02838755710684, 534.46883034664916, 536.3622974673259, 536.65772623040368, 538.07513491318889, 539.13749708918147, 539.71307769169323, 540.60044469841296, 540.83565625721542, 540.94138045600209, 541.82068731463869, 542.20865577177722, 542.90767149142994, 543.95841576298403, 545.63766213186818, 546.07093024374217, 549.48868752311648, 552.20797660031235, 553.4949019134657, 553.74648726338341, 554.50104691542549, 555.01723029258812, 556.48908453118361, 556.61518106761889, 556.93930649366769, 557.44062237903279, 559.42430361897505, 560.05610152606232, 561.54996414721995, 563.94937603056655, 564.94086852272608, 565.6585355291063, 565.90982869046707, 567.10292806992413, 567.17769396985784, 569.29571560970453, 569.61623729141684, 569.69053779658157, 570.62801417946685, 571.33533910899575, 571.51715783851216, 572.76824087567616, 573.43656587528301, 578.0455124976977, 578.38292226553642, 578.4074869656788, 578.70222334932123, 579.40932652186325, 580.32670397051788, 581.33053145574786, 581.63934525883542, 582.52166663876312, 582.71295821152853, 583.31362692958191, 584.20887528639685, 586.35556920387626, 586.75563340852466, 590.08108821815051, 591.53221316888369, 591.76248733392549, 592.03092715383707, 592.22709857513871, 592.6395066396849, 595.83803942936208, 596.24060896101878, 598.20071915430901, 598.36913701082051, 598.51633918811103, 598.83266478029248, 600.1695584381763, 601.27132862589167, 602.53680415994734, 602.82912039803875, 602.97165530111454, 603.4644138179367, 604.51104226041537, 605.74912312533888, 606.77292106235188, 607.26918582004339, 607.533503040867, 607.58253530389402, 607.73824807104018, 609.0178485062055, 610.06049777792737, 611.12461018669694, 611.76663139614607, 612.06858173357955, 613.59868722370913, 617.44213027035141, 617.96931230162158, 618.98324433710729, 619.2522372844013, 622.46536110839725, 623.17418422208993, 625.62397381901781, 626.7147387341214, 630.06113260817813, 630.51309926257977, 630.66564794180056, 633.16207127825953, 634.83474132025776, 635.77747767016365, 636.242089813392, 638.35774792191057, 639.88125722016071, 641.93768890102763, 642.58408617083057, 643.00732200513744, 643.51809663973779, 643.67494829276313, 644.49841274070957, 645.00736619763393, 647.50698861263481, 648.22189275111066, 648.30223791700405, 649.52097108731334, 649.89389588596339, 649.96206714799962, 653.23163128400483, 654.32801537308262, 655.39171679352501, 656.62263574086433, 658.55558019130967, 658.77831479228951, 659.34236902188002, 659.66164519728579, 662.4147161318632, 663.00009079686481, 664.00970987331755, 665.77075410721829, 666.27434655190666, 667.79659565408531, 668.31585386970664, 668.97501088071488, 669.15193166367806, 670.4548214109974, 671.85156918598614, 673.79459020114496, 674.39487189141971, 674.45412455048267, 674.69074885292503, 674.95349794916365, 675.4433088186039, 675.72565895210164, 677.20242242178722, 679.25104005831145, 680.68493507436017, 683.07022912075251, 683.72231238205939, 684.23395824507179, 684.64872504783443, 685.03831479151381, 685.70483439845259, 688.53906024419359, 689.68129898966811, 690.44981662762325, 690.92928094877152, 691.09064913124405, 692.24861880197966, 692.8148715365661, 694.25368095730425, 694.36798991585113, 695.44188616352108, 696.79592828955469, 698.62401372468184, 699.03668103786072, 699.14621444036914, 699.17430290783045, 700.66480500702653, 702.53004381318954, 703.37805520254074, 703.46987101319189, 703.89717933066584, 705.34783587517893, 705.72772178926266, 705.83329422085183, 708.55593303125147, 709.55414445109557, 710.11567395759516, 712.07750881678658, 713.41958365630251, 713.49222105917045, 716.75781305358043, 718.12383610731115, 719.8894230597042, 720.6907802808355, 722.29769968459198, 724.72135581718067, 725.883877056389, 726.04851302399106, 726.65607811848577, 728.79486140891686, 729.01073962844976, 730.2658319921826, 731.11361871132067, 732.03876976447691, 732.19139428351946, 734.08530051528203, 734.31482067073136, 735.65287347529795, 735.8157050645508, 737.832768435209, 738.4830565389417, 738.57922671231995, 739.01586045675174, 739.13761581600477, 739.59817654153994, 739.75491478637696, 741.71477392006454, 741.85721278083179, 742.80265073868884, 744.56116914814493, 745.84966255334905, 746.97316027982743, 748.03815306360389, 748.24523434588536, 748.72639729433888, 750.68680163903514, 752.41590924692036, 752.65502016697633, 753.34776136950632, 753.43301932319105, 754.73505561359252, 755.06456978381004, 758.79171215109784, 759.01085092126118, 759.06857373104265, 760.13415893740171, 760.62743557918543, 760.74716230187425, 762.60318052419871, 763.17767508566806, 763.54560299193201, 765.0788045943774, 767.54320841953233, 767.71478798246517, 768.2314412062334, 769.89700562617622, 771.69904466998548, 772.97891196395858, 773.20406201151877, 773.81684609373247, 773.89973703171631, 774.0050368674332, 775.29367601627735, 775.66071027200269, 776.12552570508569, 776.25528227293137, 777.25670687486206, 778.35154111380928, 779.25904030562742, 780.18121473634324, 780.22692824234889, 780.67062017832325, 781.62233918482366, 782.51257474601118, 782.71770819547658, 782.87072449224729, 784.43576392218495, 786.24076313883461, 786.50513107443339, 787.5730185987012, 788.67647922094716, 788.85312518343073, 791.12807991942736, 791.2992148754721, 791.50732793733005, 795.50335302188955, 795.60524191178013, 795.91201084188106, 796.33624018748435, 796.55428398577965, 797.13789842729864, 797.8141639982905, 799.78582425749062, 801.31402707309326, 802.98881649894156, 804.03781330749473, 804.3211837329651, 805.19105378529014, 809.56432017887505, 810.27044133507911, 810.59827296176627, 811.01541804310011, 811.33781581325206, 811.75564887373184, 812.41689876771318, 815.12748515024612, 816.20650314927741, 816.2730356228825, 816.57882109174489, 816.8066365404926, 817.99855377337849, 818.53892268513573, 818.65829411615107, 819.06560594950463, 819.21858093338824, 821.13714532144218, 822.6695030539164, 823.3412509071253, 825.05908032957745, 825.78456283638548, 825.89685599910501, 826.39127034088654, 826.95029905807007, 827.73888235524487, 827.99391383386569, 829.57825330673427, 829.63199281907725, 830.61221272652881, 832.4242865436579, 833.14597330795266, 836.0579287886261, 836.48437581886185, 836.67384035053385, 838.19287526520429, 838.25214231777295, 838.68051450319331, 840.14555919537668, 843.18046368051637, 843.79083219448705, 844.4782653528215, 845.27395537716484, 845.34807639868109, 845.74752501483033, 846.14125035498409, 847.11822780765499, 848.27117522834385, 850.4998911468283, 851.14929811133698, 852.48433759452803, 853.79620121060236, 856.69683876512443, 856.72826578805166, 858.89733803010279, 860.05292417178259, 860.86561858069126, 861.36607248268706, 861.61024860197949, 861.95475348573405, 864.80099132077351, 867.60821294675384, 868.12430698968012, 869.24292495943496, 869.74413408176736, 869.87772109520438, 872.26406207540094, 872.35296609826617, 875.73356494931011, 875.91743062118712, 877.6455186835899, 879.66925024109605, 880.94887355651645, 881.18794726028023, 881.87433950316131, 883.77751272785838, 885.08195038839858, 886.89540469928181, 887.20404538654088, 887.64046050662716, 888.70476466590708, 891.49670359009122, 896.26861719691908, 896.85498427756772, 897.15403611721104, 897.3699204332969, 898.76443458292385, 899.09105616097327, 900.02998850995402, 900.79033618597714, 900.98615108283809, 901.96371417368596, 903.9616541316334, 906.17556207935752, 907.8742721446788, 908.42948385552472, 912.13177235503019, 912.24651058577649, 914.75348566355808, 915.98121268032219, 916.69127668961789, 917.71914000823983, 918.84700955317521, 920.71022659585628, 922.94517855248682, 923.00347809033019, 923.73118483327028, 924.10232574798704, 925.92145425784872, 926.31808912016766, 929.01377709770168, 931.9786061208556, 932.92064832711026, 933.44989544869941, 934.76494321861662, 935.11162295264717, 939.30769240887264, 940.39395600347416, 943.15336971849047, 944.45400089487975, 944.74886841693012, 945.50944493427585, 947.75855258347599, 948.96177496306973, 949.58698123926126, 950.11180734900199, 951.13097980394991, 954.25643401578407, 954.36790895334263, 954.64274841838903, 955.11127919984642, 956.07423751306624, 957.71141803979856, 958.46585453391981, 958.71151385619453, 959.53564445153393, 959.98447691534761, 960.84676172823572, 964.40128072343111, 964.9141005863346, 964.99694927743997, 966.25445746808691, 969.22605549971422, 971.03761840142363, 973.88443887309052, 975.74262005621802, 977.11809495400553, 977.38765803379511, 978.11131144710407, 978.2654475274976, 978.33047930026532, 978.38435591097095, 979.426081485645, 980.43297578481429, 984.63496301092687, 984.71435459049883, 984.7555939767185, 986.56603164282728, 987.58237576775969, 988.16685261067232, 988.75943192059924, 988.9761060962536, 989.80188239874735, 989.84761796899272, 990.76320329256998, 991.82374354981607, 991.92010208980469, 994.68950292688589, 995.79980844457305, 997.02354576631899, 997.52702564051333, 999.20820339723457, 1001.3456759164925]),array([54.732807463671996, 54.796031955348724, 56.693052989957934, 56.794542525196704, 58.202437620558875, 58.7340834307428, 59.396969996463142, 59.859893055043869, 60.348458567186867, 61.638077770040638, 62.524420431192148, 62.865468053400136, 63.959269216191096, 64.06481929971153, 66.21460609889759, 67.394389117927531, 67.688231659539625, 68.085169547452963, 69.033405635949208, 69.675022887148359, 70.950057198226659, 72.149853308776983, 74.758952488022985, 75.913354924009084, 78.222680945974886, 78.513096747352009, 78.681133306840309, 79.411121617466179, 80.340764661557955, 80.369815718174024, 81.505816526460009, 83.234077880100216, 83.775937324931931, 84.727655408425576, 85.129733722028689, 85.334769616817198, 85.467553270431409, 85.556581362133045, 85.736463978378026, 86.073077370570431, 87.213405062486586, 88.422323342556297, 90.384032918651002, 91.773690656948503, 92.499523054232142, 93.822698059798711, 95.387238697773427, 95.995122640589713, 96.159050886413127, 97.270023164403938, 100.53435000074133, 100.94214389184367, 101.45873816574286, 102.08091259285673, 103.27270154473034, 108.72675047710942, 109.7984794437905, 110.99738078631898, 111.47326090473169, 112.12102315360704, 114.02962858110239, 114.14593212737596, 114.92413453485322, 115.41194254354232, 115.55275114017638, 117.47037866953958, 117.74214902906705, 118.16595578521164, 119.33295495970674, 120.40198711012057, 121.66678515079585, 122.2755067332767, 123.42666000197454, 123.92334861625763, 124.72859651143813, 130.82770580958865, 132.90965385770849, 133.28702749771983, 136.49394763229455, 137.83280423144672, 138.32275383287211, 138.77711895540509, 139.37848606834277, 139.68780015384291, 140.6571452181937, 141.96304508896463, 142.09787719966596, 142.84662578129058, 142.92300426768961, 143.60145382507338, 146.41757875692704, 147.4875182805016, 147.7321282884896, 147.89426428806834, 148.04282028560439, 149.04743154436045, 150.72319446236267, 152.69537544830351, 153.11043412589066, 154.39079646063229, 154.83205722404452, 156.24440244321025, 158.43847323426371, 159.20215312969276, 159.8594636026036, 160.18894870787014, 162.08136862672254, 162.26950497080514, 162.56365038827656, 163.18419397561058, 164.28400130941068, 165.07488702110604, 167.08327046463728, 167.4086740803437, 169.55897949313089, 169.79315972714292, 170.5717064443256, 171.5121462831886, 172.54239850025834, 172.65126346609847, 172.89899564034155, 175.57759975993028, 175.74001105690337, 175.78999588850331, 175.92087758657831, 176.09853599252088, 179.35362808494031, 180.7317442855985, 181.85220030338363, 185.02957285521273, 186.83724329113923, 186.90793006824214, 188.67413556614926, 189.19430891773058, 191.33358810978328, 193.09372753358326, 194.82005858429827, 194.86829187708656, 195.86489195717945, 199.80387161635448, 200.9772003879219, 201.36500535379892, 201.47133604771119, 204.44819001920126, 206.80058338591482, 208.36945050871589, 210.53081589975176, 211.66811945775081, 212.6888369890807, 213.92308084105531, 214.93990749079313, 215.01051404090154, 215.41251506511148, 215.99077005472469, 216.30805085755904, 217.37517865940785, 217.41829592416292, 217.59564755885066, 217.81540034398401, 217.91077882577818, 218.74656072220026, 221.09662132687828, 221.66738949777542, 221.82185634482713, 222.51763450105915, 223.01411103033814, 224.41045418504407, 225.447719739435, 226.92751179315241, 227.34295367260418, 228.79448219931228, 229.84396874245689, 231.99789097522759, 232.51629357063476, 233.67326563597229, 233.91803679191847, 235.81407277874169, 235.95792314902852, 236.3888526110355, 236.61379788458291, 238.01790420063736, 238.92019361152259, 240.14075563244873, 240.17743137919589, 241.3919900586948, 241.60419282828113, 245.49741081455227, 246.01468870566492, 246.42926278282189, 247.58813293176047, 247.86560017336348, 247.98215919375599, 248.813449138284, 249.40329918671472, 249.71117434235347, 250.65261845113019, 251.12663927962052, 253.04263115460154, 253.61724834900991, 253.89662462681733, 257.17661569952406, 257.84966131446157, 259.95885299499133, 260.0716066445172, 262.31120411690409, 262.64692819119983, 262.89103923922931, 262.91326310955856, 264.14948104246753, 266.00969573885527, 267.04754958176483, 268.12144591986561, 268.3176083239685, 269.00175429080383, 273.63546927682569, 276.13245642658404, 276.34900042889234, 277.92226953386245, 280.24459210856929, 280.55976987673404, 282.69206529172061, 285.22343520263649, 286.74592259686113, 289.2583256536638, 291.47994468026542, 295.15788146514569, 297.25187094416015, 297.32468567554275, 297.35104477605267, 297.52517572775878, 297.71999937517995, 298.54268336439287, 300.70849648101438, 302.58560286419407, 302.8695258894756, 306.33307731107789, 308.29920734213329, 311.26190410608001, 311.41669592059759, 313.14773021639979, 313.68764496261861, 314.14617780161285, 314.54929299815046, 316.3957154547191, 318.49345453980476, 318.64092070833624, 318.95366219049754, 320.48312532552751, 321.12283577264083, 322.20305859845217, 322.24367731960712, 323.1505115687732, 323.62899718498539, 324.64031843046115, 326.96277488560128, 327.38717597776559, 329.68238680055208, 329.76134236140331, 330.20568358172517, 330.88382565872388, 331.84590061631053, 332.96389985179735, 333.24320325804098, 333.73810432690522, 334.38495865678811, 334.82847995523161, 335.24099692811825, 335.55907856848796, 336.59695290857269, 340.11184232384204, 340.72704826319989, 341.23763333501552, 341.64259077523798, 344.06902225105017, 344.38227343848189, 344.93974086390961, 345.53544377545398, 345.87207361038054, 347.1595029364957, 348.42336339800238, 349.02946147854874, 349.48357071932082, 349.74497420087505, 351.08837907196101, 351.27526793129158, 352.13651139615848, 352.29307936270203, 352.59539737228874, 354.29028413801262, 355.14223238626693, 357.64178940226719, 358.67162495422599, 359.68387284139897, 360.58193648874754, 360.73916973321758, 361.07866714467633, 361.5697197359392, 362.38527838544542, 363.1322529656332, 367.45802615725972, 368.94991123313412, 370.14899988914374, 370.60705267282071, 370.95742709285565, 371.10432892824701, 373.14946126730757, 373.21166877867063, 375.82838333188312, 376.14346832344489, 376.64225595505201, 377.25266193695734, 377.53745795503374, 379.15796590213398, 379.47422957065498, 380.96946306718525, 382.69503040081634, 384.77174640131216, 384.84831354750185, 386.21925622488828, 386.72811271749788, 387.52573228676584, 387.61055787678379, 388.84277007759925, 389.70727947596691, 391.71748287537918, 392.35815923774248, 393.22350367847099, 393.95370636150159, 394.19378094964708, 394.29401773480242, 397.72207490853862, 397.97786606265066, 399.51319237517134, 399.7361396732399, 399.92827128702515, 401.16380512727244, 401.28893189313806, 402.06172198486416, 402.16372820087162, 402.54320174807884, 403.42844447921016, 404.63816936620861, 404.73282175463299, 404.90492554058432, 405.05313632511536, 406.53748798251115, 407.12240695477209, 407.29246867781234, 408.03095220348484, 408.75504465108912, 410.51307119462103, 412.12226654919044, 413.66549493390011, 414.6445145215821, 414.72444580020601, 416.24304601980873, 416.77803693458458, 418.38873925370842, 418.90411758963819, 419.76062836885126, 420.68137283679596, 421.39197722182757, 421.49617175629095, 421.72619254559885, 422.18229474703526, 422.21175690326805, 424.18895016984357, 424.34144756059635, 424.61358907794062, 427.89998822945046, 429.24450353802843, 429.83954937669489, 430.91350396875532, 431.49248591954961, 431.58310679755402, 433.55210225468295, 434.45350695986559, 436.40284441277976, 441.66241405199759, 442.31758009487777, 442.3805742371506, 443.39661130874396, 443.76799599937806, 444.11100618260457, 444.61270710490987, 445.86133076790526, 446.14479173490059, 447.10698598855089, 447.34726375323942, 448.29956869599692, 448.52358507335816, 450.84865861263285, 451.13297290741485, 452.90686006549447, 453.62211298055348, 454.06906475702073, 455.13262752305872, 457.14064963784091, 458.30146867301357, 460.81669595983197, 465.56841474971566, 466.05973619267905, 466.51010674777734, 467.31168721135248, 467.93699085774426, 468.10227960097706, 468.7205071726558, 469.4297651989819, 469.6424751100887, 471.39449381871276, 472.89434919510069, 475.43593126020295, 475.5550115273187, 476.50264137202726, 476.56914180330341, 480.04609122049828, 480.32557005686755, 480.90923604608429, 482.1581262937429, 483.39371819282059, 485.6380726081772, 485.81906003087914, 490.37855614571492, 491.61329132433582, 492.62874155299687, 493.04255688321825, 493.12234679250014, 493.42604035485493, 493.64668702788788, 493.8219919115935, 494.62270810683805, 497.01110620344411, 498.25850594696448, 499.18923354945923, 500.26720588909137, 500.98670466822136, 502.23338030965868, 504.27604607252692, 505.55417707836381, 505.60034860692809, 508.13056014815567, 508.9310383246625, 510.68995523074, 511.06055601360839, 511.65737096050287, 512.14755282902706, 513.58860030643643, 515.41315943086022, 516.05953579673974, 518.1354565352251, 518.248766231638, 518.54905506692432, 519.25567320693824, 519.48221515189562, 519.80787627202062, 520.22137486477584, 523.38641152768218, 525.21619830911391, 525.83734047198391, 528.22362752072695, 529.47310603843403, 531.30269390960302, 532.57536100305867, 532.6173595372511, 533.2625919179942, 533.58133089587591, 535.48569865856132, 535.62289525492679, 538.01852864683542, 539.7702812728968, 541.44963640516346, 542.00478454468464, 542.16250986243654, 542.51531221547054, 542.62138128489914, 543.28381217008018, 544.44441771306322, 545.13008839433405, 545.33957123659138, 548.9128225632071, 550.81633811959682, 551.613900342129, 552.04588366492271, 554.488596946386, 555.62550861396835, 557.37991367358609, 560.04995193468574, 560.12634752590611, 560.47008466117734, 560.66873198175631, 561.48234166383224, 561.73014705949686, 562.42699100704772, 563.88073069860604, 564.50802004104094, 564.80263971190493, 565.05689447794725, 565.56142151923484, 566.53326429362073, 566.79828200297334, 569.68650790981644, 570.35853259211558, 574.46885740691368, 574.96409549568557, 575.43568530714776, 576.17089425240374, 576.27033654547404, 576.33383731792071, 576.66922290570301, 577.39661642502688, 578.20099927623892, 579.06495529643689, 580.15610511424347, 583.56722192841028, 585.6849830943745, 585.73897931605552, 585.91448490275047, 586.02934733463439, 586.15760811433051, 586.42299105696191, 588.49048548450901, 588.78804483831254, 590.13816112042548, 592.15865349574563, 594.09903002098417, 594.54813636726522, 594.91739163150453, 596.64742117709966, 597.32985634178431, 598.24396769973453, 598.93013193201762, 601.41784536336843, 603.05124829494127, 605.92371716049968, 606.13902121826868, 606.54110572900038, 607.41438870261447, 607.68273499649229, 609.19189431155303, 610.17648534157252, 611.43376394198276, 611.54787749867842, 613.14889479119006, 613.44968934601116, 613.52399669450028, 614.76227052308514, 615.24986920831657, 616.01760926651616, 616.06785354717783, 616.57350165672699, 617.10224431423092, 617.76224809886196, 619.30627501353035, 620.31785553780924, 620.36251030791959, 620.53885872390481, 621.66580159088824, 621.96066047406964, 622.53078369073228, 622.75665240213095, 624.80262068405762, 625.60760106136013, 626.27165349812662, 629.33663608020038, 635.03072246859483, 639.06697470858705, 640.34664305748049, 640.61165791304416, 641.05665586467205, 642.99597314658308, 643.29128495976829, 643.48555524255789, 643.7132448901483, 644.1895732932411, 644.9632202794312, 645.05198116225893, 646.78586309672892, 646.81609474747802, 647.16506391961775, 647.70029670311862, 648.01036085243391, 648.39659683845957, 649.35932496967212, 649.73780401274666, 652.14377396571183, 652.26301670953899, 652.39352761939767, 652.4462459577851, 656.12568849723255, 659.97205124044353, 660.31902492099039, 660.5779708130425, 661.58089190726321, 662.24691708952321, 662.68885872647047, 663.01740960387451, 663.96587890173976, 664.19487369713158, 664.29420593925568, 664.87088905990925, 665.90018410263724, 666.25512751090093, 667.2064712467718, 668.31641635675123, 668.51639162605409, 668.80585286666667, 668.86261237596477, 669.14458830947433, 669.25006637491936, 672.69671196435388, 674.44267980589393, 676.43052066611506, 676.5506248023413, 677.19836612398001, 677.69673658121894, 678.00443000919654, 678.58742149730983, 678.81964406688394, 679.42160912535769, 679.94586846969105, 680.47904105147211, 681.86374503545051, 682.00707776039997, 682.96629419581291, 683.64614799273875, 684.90594177711353, 685.76882315161163, 686.54058783387154, 687.67606726073961, 688.80986500898939, 692.57702200705216, 692.87994582027954, 693.55445840487027, 694.49547906957116, 694.68647789773149, 694.95570558302438, 696.87933827772201, 699.28277603152435, 700.9591898662693, 702.44308831270803, 703.5789553858873, 704.01648446562865, 706.45649473725734, 706.78680732539283, 707.46216560322455, 709.73201812124671, 709.83867409296931, 709.941804181885, 711.31429541458692, 711.69705462291097, 712.12359756249077, 712.48875305340641, 712.57717704481149, 715.7701061186101, 716.28989310352915, 717.26613240072754, 718.82869937627549, 719.07656099926601, 719.22644893728841, 719.77482687759198, 719.84000037235535, 719.9371688728653, 720.52207394525567, 720.733639648333, 721.74262216998704, 722.87990991341826, 723.18604338487023, 725.60753855978589, 726.62432880627364, 727.05769241252904, 728.00267940267065, 730.48044774712366, 730.55466764068024, 731.6753535690932, 732.29928633917859, 733.18334663748044, 733.73990366242742, 734.31249136807742, 734.41958589868557, 735.39499847052207, 736.18662701693734, 738.76090081852408, 740.73618246972444, 742.81467042325175, 743.52379554300694, 744.84085039238551, 745.22316270359283, 747.07147276358933, 747.42505969578735, 748.23755001785412, 749.00954371585317, 749.51191637510919, 749.61950888379999, 751.13658589040165, 751.99847363295999, 753.8589236129061, 756.34351971405204, 757.33373220723126, 757.67740935347103, 758.69956315302784, 758.88679875925811, 759.01212109258529, 759.34026944878417, 759.37562767585291, 760.74128491430395, 761.30475212963154, 761.77807328426286, 762.18333188884628, 762.3700184155615, 762.52216994411776, 763.74895556575655, 765.31776529584999, 766.50512582751321, 767.19529787853924, 767.6667871775893, 768.86132449686011, 772.3897987504904, 772.49669332610483, 772.95481079395802, 773.0606427884062, 773.88123302658346, 773.97509932030118, 774.1943888739296, 774.57438989575428, 776.04538760100547, 776.7295810592916, 777.20895640757146, 780.20606400368979, 780.25005804881857, 781.6186735325158, 782.77584851699692, 783.05806290399573, 783.82697776367684, 783.96493346442492, 784.0694591683914, 784.17036720279782, 784.47944371909659, 786.43409042736312, 786.74869167812165, 787.63837566192672, 788.43659679785435, 788.64959128093767, 788.80405249693058, 788.83684087670974, 788.89003586474212, 789.27392852533558, 791.06645781991506, 793.6458853257584, 797.00465753530148, 798.51036323493679, 798.83835169312886, 800.48793940483984, 801.46507446818714, 801.66121895269202, 801.84889560043734, 801.87969063513185, 802.11701273567348, 803.63754786770801, 803.83279894865314, 804.38141367798153, 804.88108528446787, 806.81613923021928, 807.86443629004918, 808.17920016053517, 808.35639535809491, 809.06900119672832, 809.54371505779238, 811.37888709814649, 812.00247374927869, 812.48247781810539, 813.84822237766014, 816.18227083240481, 816.30972403979888, 816.45362686415672, 817.79533343209175, 819.59267045191564, 821.03377838907454, 825.7451651989976, 825.80301416538646, 828.1207919361741, 829.17445456293422, 830.82152497364814, 830.96809367295907, 831.81555103410278, 833.94768380056121, 833.97957498158235, 834.28286139580996, 835.33432710981242, 837.16626899285916, 837.66259255215857, 838.7988965734022, 840.25102238044383, 841.24333499220768, 841.95581994868905, 845.6101758870517, 848.39911334807687, 850.0329410242623, 850.1460018955903, 850.43768496870018, 850.6909844351693, 853.55330794862743, 855.49042505798559, 856.09826125704103, 856.51401917083831, 858.31093916648706, 858.81573690063999, 860.27771088005636, 860.32736336590472, 860.96811907590097, 861.42463984887547, 862.51363353280931, 866.41922264941957, 866.64472282222073, 866.79758107828343, 870.72766453314193, 871.08635904519383, 871.76526052455665, 872.32340319564639, 874.61205166557988, 874.71523103074719, 875.19275941609339, 875.4716948517854, 877.78452122405122, 878.55595328202457, 880.30559418466987, 880.74609055980534, 881.05911531845163, 881.67716203852876, 883.74694383244093, 885.96668638916515, 887.3372851459867, 888.1433468606773, 889.32729231173585, 890.9333170426014, 893.07159498758108, 894.23812409823347, 896.07427180543243, 896.15855185234113, 897.74777952488432, 901.8733494529157, 902.15286766122256, 902.48102731175027, 903.06390159024022, 904.23186142051611, 905.71245150219659, 905.81235908657584, 906.47069196460541, 908.23319537528334, 908.69538729215128, 909.40538145644382, 910.84902327574957, 911.75859455387433, 912.00136224955929, 912.265561297506, 913.74903682495187, 914.67448284975126, 914.91831818545154, 915.39843936486466, 915.48795806141345, 916.70877364625949, 916.87741914319622, 917.88343513596078, 918.09863429679649, 920.74768118986401, 920.96520228928762, 922.37435306147836, 922.79292154120446, 924.26595742769859, 925.55809880609786, 925.97993177391982, 926.41317202323569, 926.67967397243319, 926.95441532658413, 928.92655210540306, 930.46371893876244, 933.08670739346121, 933.39929924524063, 934.40620507000153, 934.65929804424206, 935.787616423033, 935.84388980248946, 937.21558988411743, 937.37323306892074, 938.73164131260683, 938.94787779780029, 939.45813008274126, 939.97670396711828, 940.21598667138528, 941.12668318054534, 942.67643361583339, 943.68634588460498, 943.87397643481597, 944.38763951899773, 944.64986713979749, 944.90731896246098, 946.35566235565602, 946.75744519993532, 949.29320631853523, 950.06802994791315, 950.45535763900762, 951.11580503825826, 953.65363036552117, 953.74169333031989, 953.80042772795809, 956.00089288298443, 956.49911962188844, 959.23303836493278, 964.9584684681256, 965.16394670355987, 965.60947036377195, 965.74500691566857, 966.07569107833706, 967.45536372252866, 968.47076159541541, 968.77211466272456, 969.79124626056512, 970.99211351308929, 972.15654851498675, 972.23796062278166, 973.42119965950508, 974.1151483195307, 974.50310083110332, 974.67224744553073, 975.84355402165545, 976.02937133798082, 976.98466483155676, 978.26929986281721, 980.15449466855489, 980.18949985983909, 981.06005192621046, 982.29864862530667, 982.83437505881886, 985.18745098891293, 985.84468206690963, 985.97414237365285, 988.35599801056628, 988.67006982225189, 992.70282038835501, 993.6607432859754, 993.83747779603505, 996.98129552072328, 999.86430265217871, 1000.3755625892056]),array([23.727615183965312, 24.001491011991568, 24.297400314602108, 24.516465242334537, 24.55971602404054, 26.234090236151207, 26.393868977330985, 26.852595211273361, 26.909526471316394, 26.94907237050078, 28.264761052906977, 29.288660259110944, 29.812948131772785, 30.269815086057456, 32.124698109601994, 35.206394292604138, 36.300669234090414, 38.019439778542726, 39.169792588221839, 39.767675702304956, 39.835635189000307, 41.001556523502153, 41.405772213511838, 41.818274311298943, 42.128028397754747, 43.000774531357216, 43.260413106343378, 44.532155540650734, 45.727774509353367, 46.2237214871408, 46.348615532152422, 46.794034221818016, 47.075251114249475, 47.095876070951611, 49.536560096461528, 50.924791386793842, 53.214932315607932, 53.891172485353202, 54.597447162578064, 54.841334278912157, 55.505067964564745, 55.894609986444486, 56.308645207566613, 57.545405164667585, 57.574645352061133, 58.119854816900805, 58.167931441513716, 60.707901624693307, 61.107544971689812, 62.461032964373359, 62.501706240159663, 63.032948092278126, 66.95147004236776, 67.633767304913974, 73.665685684635719, 73.72476773407071, 74.65860133882849, 75.264802857693013, 77.961849571149457, 79.991647556101469, 80.189872423463541, 80.210618868491366, 80.839787010037696, 81.670105013695022, 83.505425033617826, 83.800203367649331, 85.452054083763343, 89.082324277910487, 89.26739968303302, 89.801285794805764, 89.895213239882153, 90.622374518382657, 91.843318250343273, 92.643551571711683, 93.995239557759618, 94.503497523208011, 95.003151925089526, 95.305501869686296, 96.513529238271076, 102.65747991634522, 103.79838145666911, 103.88268397876416, 105.18996088706348, 105.3591011144416, 105.61971767649068, 106.56398611754383, 106.63799737759385, 106.87463942202147, 108.35113715032979, 109.2904718921445, 109.97524287615754, 110.73255468406504, 111.63705706449484, 114.95695381522911, 116.33283424933191, 117.43344695491443, 118.68127795379769, 118.81250185893482, 119.61655319737299, 120.60845060038763, 121.38118706460278, 122.60587550916121, 122.79141107265337, 123.61494421250579, 124.79516494607246, 124.92894168701611, 126.1016948064588, 126.54439040409896, 126.77857533110507, 127.1429479335868, 127.20975615935282, 127.68332681634485, 129.27538282470223, 129.9416006501385, 130.00044890819021, 130.56560645963174, 130.94669427640488, 131.15639472318355, 131.91046142031379, 132.27749682225081, 133.7608038757736, 138.42415623730562, 139.47350766357781, 139.95342937443866, 140.51597324230917, 142.23067609883753, 143.1427594193986, 143.50487490232263, 143.9860006393148, 145.8893405415532, 145.92885084473025, 146.74471452104163, 147.2066047848906, 147.38390577516358, 148.60333905093449, 151.37140800398276, 151.78965832254727, 153.96066787937949, 154.94741712388628, 156.88985317037952, 158.01443483117663, 158.97627621386681, 159.80143415568054, 164.05479521407042, 165.79618363788066, 166.20898882411564, 166.35103189884677, 167.16264559042347, 169.35231862902333, 169.98672989828344, 171.26521396306723, 171.33098848975337, 172.768150973627, 174.01635008337215, 174.55832884101986, 174.84816148997916, 177.4325574104065, 178.25923868184256, 179.75412483657175, 180.01286341767462, 182.9936343517372, 183.73261666113828, 185.82286277364699, 187.95928760847116, 189.32039369005102, 191.81599241274608, 193.28091240199643, 194.5493218170472, 194.89543505333418, 195.53252123263411, 196.34257478069659, 196.5291051123684, 197.18137106168209, 197.47848135496545, 198.34947535171082, 198.64681710226819, 199.83729556343837, 200.62716093654458, 200.84317633487484, 201.46056046723299, 202.23863309948254, 202.96577790590933, 203.42351181646947, 203.54022633123631, 204.70194838121725, 205.91759835861498, 207.58569239362311, 209.74960125918844, 211.01202354729841, 214.50878776772299, 214.88912145523884, 215.17188643064861, 215.22636941823188, 216.01972106391747, 216.23361847851083, 216.4987165030991, 217.91468463654599, 218.67027550321492, 218.81442239818946, 219.10225335406946, 219.29610446241179, 220.75623968084133, 221.32042570438375, 221.41451279662616, 222.29703913429339, 222.40394338678601, 223.38843385486692, 223.75977644837587, 224.1577554796346, 225.88959443198695, 227.35686948442532, 229.25343638089629, 229.775073942391, 230.3969142782926, 230.58763384309989, 231.07215455867879, 231.42185940947434, 233.0295427445628, 233.76328578613771, 235.46102650559385, 235.7359621609522, 235.88445923755731, 237.39877385641307, 239.00582963441076, 240.03454720971089, 241.16238970214133, 241.54926546316048, 241.57891114505182, 242.15013246200959, 242.47732977443562, 242.83662415295012, 243.98714121945403, 247.88191879783324, 247.95675180223103, 248.38927524439595, 249.17536424897551, 249.33746522793845, 252.43782074427179, 253.6079118173937, 255.40928308346517, 256.67509179135374, 258.99600106326659, 259.24505239131207, 259.45149667748342, 260.59491577610743, 260.99243542229732, 261.70727493012038, 262.01120974585956, 262.43561725352544, 262.87937561516065, 263.32518460362883, 263.99635616968851, 264.16062449074343, 264.89758842017056, 266.2089094483062, 266.23306406114972, 266.2796026158245, 266.37996067337588, 266.55827486422658, 267.65552842092319, 268.24455188066798, 268.92525294424138, 269.37458192923248, 270.19136596066045, 270.33635950312623, 270.82749502868921, 271.80810322482148, 272.01618140722076, 277.76333801552533, 279.25215074624577, 279.84370439269418, 280.03417273266081, 280.67817957590427, 281.42840154035514, 282.19595041602105, 282.90843562178787, 283.74081613974107, 284.39137189874833, 287.45719405190948, 287.52510400289685, 287.85121569658082, 288.43396185662976, 288.49739614025361, 288.93906379390961, 290.47698993494294, 293.65795524780265, 294.26625206268324, 294.90959495318742, 295.62507222322478, 296.62632697541824, 296.7093827803543, 296.94913123601521, 297.84963813551775, 300.20759503097878, 300.34216324625663, 300.58689576979958, 301.36902107976192, 301.72954965010996, 302.72448144709614, 304.13128814248341, 306.32955128113525, 306.88160363391995, 311.06047818070903, 312.02481530122935, 313.23209795983507, 313.59913756791002, 313.95038060015457, 314.56538084735422, 316.05206059426564, 317.66608398719171, 317.72207409275808, 318.14881321790904, 319.58746531192446, 322.63172615689768, 323.05145760262474, 324.48383635889007, 324.97690483177871, 325.44280156207958, 328.6793555469925, 332.3837215840345, 333.30551259623394, 336.37548698912724, 337.27923968731182, 338.09281504479702, 340.95167888366188, 341.39481392314218, 342.42324245687587, 342.47635312168944, 344.58492694794683, 348.65648013822931, 349.01747027447942, 350.31673856290234, 351.83523204637663, 353.65011178429125, 355.4331609592229, 355.7123068416044, 355.88310332791787, 356.67396754515352, 357.87704473479027, 359.1534948775066, 359.44623156880311, 360.07652554381355, 363.37933373352274, 363.67878035869563, 364.42841164785654, 366.84633126282756, 368.9139715826729, 371.70001021749073, 371.79964922119649, 372.29015373413307, 373.39822124792295, 373.6387023145794, 373.77333379490062, 373.98001196475428, 376.74381485045791, 378.70729230555776, 378.93232168876551, 379.71054561701646, 380.11634645333561, 382.5745279912145, 384.22383802056265, 384.83570774735523, 384.99047936754619, 385.27615258890978, 386.38352566704759, 388.12090428787275, 388.65912191231246, 389.38767136854409, 389.83955885194825, 390.00119908367481, 390.54344363361503, 390.74199186168659, 391.59871402696956, 392.62830548717579, 393.30641437030295, 395.72135637675586, 399.47610824614884, 401.80369573731866, 402.24022256495942, 403.48977216756543, 405.87472465042583, 407.99297108294837, 409.00878363272471, 412.93628285631684, 413.07088335128009, 413.31230243620217, 414.48486886441276, 415.42039830637742, 416.75541625640102, 419.58024328326189, 421.01814392988268, 422.37125242366454, 423.28031928982023, 424.00304132063206, 425.19631702593892, 425.73153350010017, 426.47480657179165, 426.78308055470018, 427.30581166514702, 427.68016093142563, 428.79964911680298, 429.72232314106549, 431.08898522039476, 432.20118265427749, 436.63851022330635, 439.85514514845573, 440.34307216632226, 440.4262467609629, 441.655140900248, 441.91705966553269, 442.23947476442225, 442.64173660179938, 444.53277532626765, 445.25478786678548, 446.95555843010851, 450.66626000319036, 451.20395680258929, 452.06362062723855, 453.06152757437565, 453.261450974821, 453.6838529421849, 453.90808802975516, 455.45199273690645, 455.50992518369571, 456.38125865827794, 458.41545067448641, 458.51426871789545, 458.54022697755033, 460.47740485034984, 461.00282145597788, 461.58856870420254, 461.88050727278221, 463.75106126325187, 464.12353894486256, 465.74653463427074, 466.21416837374568, 466.30862827765151, 469.54116637438835, 470.21201116606755, 470.24671542353661, 472.2817117877529, 474.66344405723714, 476.24630687337009, 477.49380980442345, 478.19317546218144, 478.23100410364799, 478.59028320719938, 479.96819940053882, 481.32984088894489, 481.99834162288579, 482.12259115788095, 482.66574817201598, 483.93932599669012, 484.85840812656841, 485.65428717542255, 486.21978883166094, 487.27574430912205, 487.64247710549034, 489.89144527108687, 490.90760273666649, 494.53036195653613, 494.88143246091437, 495.73244385432548, 496.29954993479703, 496.900936878957, 497.26828002016595, 497.30292126582191, 497.42480754032226, 497.88628519015583, 498.0983551900859, 498.53404820026037, 499.39801440626553, 501.67203305286063, 503.69473107304526, 505.79815048061204, 505.9980231521302, 506.32118170523728, 509.03694458878061, 509.51324120545701, 510.05300798593885, 510.72669083178755, 511.13038609241073, 511.41362681346067, 511.83677647940658, 512.16103259840349, 512.60361102502827, 514.58536742904812, 514.80532944369929, 514.92995624905416, 515.25846667157657, 515.65793763920544, 516.01300298305807, 517.76880390932558, 519.3765340390953, 519.41866438299689, 519.69292444618884, 519.82842781253294, 519.88503661976631, 520.00315169870169, 520.09845928536447, 523.7623422696488, 524.43727120216113, 525.32335885772682, 526.06039223379628, 526.42171548186298, 527.16797235933689, 528.50041118756758, 529.01189458681961, 529.18217505365396, 531.70967203572809, 533.115955415651, 533.71966385565065, 535.37241233059126, 535.69230195343494, 536.09762531724948, 536.52329578141507, 536.85853396388131, 537.76451752755338, 539.16811101627377, 540.83009135332338, 542.33106662677869, 542.36387062600909, 542.66784075928831, 543.96935481086268, 544.4118996203016, 548.56746258401949, 548.96902575660772, 550.10323675808274, 550.45444976703516, 551.7760632632129, 552.21979584227915, 552.54601810545307, 553.1853850671115, 554.72676188203695, 554.85028178829225, 556.28024077356429, 556.36713569210167, 556.43261046423424, 557.08687233245723, 558.55738195316155, 558.73352869767371, 561.99625322349061, 562.9568373065473, 564.63405553429106, 564.86110419958175, 565.70556571292173, 567.38152981761777, 572.89602735020787, 572.93208033251483, 573.17173288649997, 573.39004419536957, 574.15902073471045, 576.36333293994653, 577.81192332918886, 578.18850363008869, 578.60029960233612, 581.22920283910139, 581.47460420201617, 586.62116572604123, 590.43811586275694, 590.9720555691664, 591.30455860172322, 592.9353804974985, 593.17997380568488, 595.47095428113767, 597.01388781882747, 602.92961331859146, 603.22970161803471, 603.66707043397241, 608.75803682913477, 609.19797979696602, 611.16774817616317, 612.51845086557773, 613.23688256163746, 613.86913808368104, 614.08042445210185, 614.37379311932273, 615.77608563803562, 616.46685075736525, 619.55193768467029, 620.63053030998344, 622.32237462034971, 623.12486236257337, 623.32352874416301, 624.89902415604661, 626.36478318872321, 627.15247375970944, 627.26927656154521, 629.84896607756104, 630.87511579365594, 632.3660125121454, 634.09513239643911, 638.56548155628377, 640.05147079059532, 640.92509064381716, 641.78566528353554, 643.80617672540359, 644.08680585365607, 645.19531170655114, 645.23632500716576, 645.7556516639014, 645.90290887497463, 648.01380367096522, 649.86107204966845, 650.47802864027801, 650.55960705496409, 651.75407056921972, 654.54884829153491, 655.04614353604563, 656.08901014311925, 658.11521992761004, 658.72331399281563, 659.00699572405108, 660.34489409910032, 662.39357652868307, 662.54796652682876, 662.59972758816036, 662.64349342603339, 662.83685671821968, 662.99026459254264, 664.24708533293006, 664.31378442270739, 664.72268775990824, 665.50469791396313, 667.03235680513171, 668.50515188792747, 668.6042368717392, 669.44240159263313, 669.61340687254904, 670.12465856464246, 670.30208083036791, 671.1294650319328, 672.64241628807304, 673.32256009459479, 675.39318749624999, 677.13659202572137, 677.2587664122949, 677.60250487331166, 677.65354534584139, 678.15227197835588, 679.5757634998281, 679.75976163700011, 679.80087330306253, 680.777948098867, 681.25035725348869, 683.30840731839226, 683.59127935568279, 683.86402312591861, 686.7904596392201, 686.89730982329331, 688.04690632555196, 689.73218996011724, 689.99130456521652, 691.04159873291565, 691.08305892943429, 691.35159446482567, 691.5535290361122, 691.92515174996811, 693.98311055700867, 696.51806122364496, 696.65334588467954, 697.68960566882743, 698.04340696451709, 699.62496607459298, 700.59756714380126, 700.84717246131834, 701.55914102820998, 701.94101608805249, 703.07600461903189, 709.39137913669515, 710.11473943007547, 714.8674536864944, 716.18084114928911, 716.79344356193633, 717.38605865985755, 718.35510676976912, 718.47953041561857, 718.8997154436222, 720.25702258859542, 721.90996853775926, 723.08127400503224, 724.3980925183896, 725.06031700418487, 726.73923315739876, 726.76825807443186, 726.90464390720672, 730.33404684730363, 734.45930507986952, 737.79737114133491, 737.98023830684724, 738.26815136986363, 738.46482998899967, 738.89840875307334, 739.66872516016622, 740.68013959098062, 741.02966861893526, 741.05204940844408, 741.54053436584547, 743.95255164407979, 744.05511568579334, 744.19493416063892, 745.75020011746778, 746.9260632686362, 747.03454238499091, 748.39898025578293, 748.75019078563525, 749.16620751282005, 749.51854723236158, 752.51293038627716, 752.74440700160892, 753.17667998716524, 753.57416329200976, 753.91587322186695, 756.30471854061943, 759.65306154116809, 760.45821055888439, 761.16104841687604, 761.96878116872301, 763.5577400093531, 764.63906637194418, 764.72466780875084, 765.05956414803825, 766.01452420539135, 767.0435760113163, 771.71934644833129, 771.816458954268, 773.72663430233422, 774.09780628633609, 775.8036791242065, 776.2664487304769, 777.31113527747846, 777.63939679480222, 777.76541419773037, 779.47025632059297, 779.56887368523314, 780.30033445058859, 780.65075403062451, 781.8302578919662, 782.77678800154104, 786.27877061947572, 787.00073278788977, 787.35235631756473, 788.33502924228401, 788.41560858652292, 788.82048481498168, 789.3936310680383, 794.10460783796077, 794.65308072075788, 794.82488942243833, 796.31258709857809, 800.14517393148117, 800.35228701576716, 801.03081233829221, 803.00178012939409, 804.57371101350452, 804.95367477283571, 806.22070179632101, 807.8888775937794, 808.51334602643124, 808.96298782619988, 809.43491600048571, 809.76154132199906, 811.2799521911619, 812.82520698241876, 813.57082454377087, 813.60665065381147, 813.98560672824021, 817.09326969458141, 817.18839491213259, 818.34154601407647, 818.82454937559305, 819.16534060276274, 820.92853624865313, 820.96710519628766, 823.75956076274713, 824.14738409925178, 824.48005463112611, 824.59731356907344, 824.98417598109472, 825.68603937248565, 826.73191586825988, 828.12873513109673, 832.21549546011249, 832.7856312520554, 833.13950068396775, 834.51350299077819, 834.95006275834226, 835.16334796784929, 836.74101061228475, 836.82677307616893, 837.76361012529185, 837.81163691237953, 839.07743923493365, 839.27042147049849, 839.35896318927007, 839.79633236581549, 841.73039209149147, 844.12722402410964, 845.35241168487096, 847.1957830763256, 847.26071619666391, 850.43594618684472, 850.81267668352905, 850.88547525679962, 852.14351279787945, 854.64401764612887, 855.70255915935559, 855.88738522853419, 856.01731022774516, 856.89326730866458, 859.56761959185371, 859.73844036096443, 860.95772884148869, 863.00381722214354, 863.24399229688231, 863.56152524975084, 864.0376614214606, 866.99022637275755, 867.27371199543677, 868.28986708157356, 869.40745160611482, 870.29728778813751, 870.45829664355563, 870.85213363113883, 871.20032508559586, 871.26596290910823, 871.91462685271938, 872.93700297263661, 873.15261528692633, 873.72395574298446, 876.43180358216398, 878.0351661857344, 878.36664629895563, 878.39903789940672, 879.37629161181349, 880.24742645650622, 881.44930162252717, 881.87446014857062, 882.37568076127479, 882.88893595874208, 885.09364193980764, 885.72932674944775, 885.88927279689869, 886.18248317764881, 886.33474235709184, 888.2908361481791, 889.0620129118156, 890.67556411755436, 892.96788747476876, 893.47764428948642, 893.61989809723855, 894.08231036853635, 895.59428231312063, 899.36014073717172, 900.6419449287871, 904.0650503945194, 906.23798131142098, 907.84943556801682, 908.8105035427451, 909.45368613104085, 910.48674010363698, 911.88092065695582, 911.98681098926568, 912.66846689896136, 913.56530650834918, 913.73837185343189, 914.0632847191896, 914.17958414007569, 915.48462968986519, 916.07166481081276, 916.75310181485281, 916.78867872610226, 917.26096712996616, 917.5705354430014, 918.02456667292495, 918.19120515394252, 919.77818772717501, 920.13462100227355, 921.46556593796163, 921.74476568846467, 921.8163579364533, 923.05442862056623, 924.55442430627352, 925.38007940996374, 925.44288287001223, 926.49264313818765, 927.0915561086357, 927.86395043536754, 928.77972360320973, 930.02784524500271, 930.86624063043325, 931.65870525181174, 932.49022474397304, 932.67353298194075, 932.79665903678097, 933.83995146818074, 936.121350646358, 937.17097951953417, 937.9043767533243, 939.45821213546878, 939.96457862046577, 940.86541767594485, 942.61881098839092, 942.68188471645465, 945.82745910655433, 946.65700406185522, 946.74279907289724, 947.85536992430809, 949.58684733771679, 949.61551021432024, 950.05649590148869, 950.97567545081779, 952.85474604476849, 953.55701616602323, 954.38108822275831, 955.79746275394359, 957.77041854841536, 959.93827561576984, 960.05856318369422, 960.36093981024089, 960.42196746827153, 961.13374011221379, 961.69575464115928, 962.69534763194838, 963.16517405187221, 965.11822344735015, 966.49289879535309, 967.03092163907172, 967.143124303386, 967.72944884527658, 968.73049641941361, 968.75553419129812, 969.41584789742024, 971.6841005725264, 973.52809017555171, 975.56467269291511, 977.0035932725541, 977.80053195492155, 978.12016331677557, 978.21032767795543, 978.80750863774517, 979.09814243520498, 980.42418473258363, 980.67266794555962, 981.16219273964293, 981.38133054359082, 982.25216057331784, 982.39189323466871, 986.07758420783921, 986.47060707624917, 986.8625467703107, 987.84744848333105, 989.09698778900338, 989.47363666513229, 990.85089815784011, 992.40423892329056, 992.53820959522693, 995.06078901326225, 997.79267838889473, 998.69938293939686, 999.66418005666105, 1000.0013305544429]),array([39.14389485647208, 41.022384305692171, 42.685242740694605, 42.814363149556357, 43.086886484661179, 43.794180365089616, 45.451425645838469, 46.056200797659372, 47.603467772848461, 48.215384950057924, 49.33490887438083, 49.437824412388501, 49.583422739865775, 49.621157357577289, 49.954887201525125, 50.488141273606978, 50.584951887051773, 53.324069586145548, 54.9825780508571, 55.662683600328918, 56.622576425283356, 59.863328725790794, 59.923258333310407, 60.310934451917383, 60.466066804520331, 61.616580869323805, 63.27102620461956, 63.375211491891683, 63.69613883527947, 64.697501676173047, 65.816617164070934, 68.337597794043887, 70.305488007955077, 73.669305868295538, 74.700115432940947, 75.911477279811024, 76.638646034622099, 78.688754094569816, 79.282259522668852, 80.028787020184751, 80.591270714687369, 80.74972822115221, 81.232628518376629, 81.301195229811597, 81.642740220691977, 82.452765659185957, 84.106095515122774, 84.140096723327474, 84.498744909911252, 86.238110134198948, 86.724870935530703, 87.130855931770711, 87.943914784681738, 88.19607842118694, 88.893052269568088, 90.382236373806663, 91.353629400364198, 92.11864851663637, 92.251217166190401, 92.445569084404241, 93.285726771130825, 95.642788099683102, 96.608271590233031, 96.674470670680137, 97.491291738375438, 98.415192927126057, 99.692907131370305, 104.20237140213302, 107.72419121426648, 108.02518273640612, 109.10632440613786, 109.5132919836261, 109.63495897181923, 111.14348081302269, 111.58736925192954, 113.98252494867391, 118.50362168753912, 118.76422240234146, 118.78989221978607, 120.57114072372389, 122.95162115881111, 126.45867014044693, 126.82810009967041, 129.18336967814059, 130.4378677513406, 131.26045251178141, 132.01272789839447, 133.06777223589285, 133.63890808380143, 134.43943578558935, 135.07578872678326, 138.27704031665661, 138.92284996238226, 139.73696517649987, 139.83383918752915, 140.41672017521324, 142.61866788013742, 146.30665207634183, 146.55537579574496, 149.31331054929967, 151.94965413146869, 152.89965872030987, 154.92143995143405, 156.97999258983936, 158.12706849715704, 159.84473266655675, 161.63778204036882, 162.06755739313857, 163.18382628291323, 164.67228012414517, 164.8873955468288, 165.14555800065779, 166.15271518900164, 166.27268479149529, 167.66214174414347, 168.25035085134036, 168.84957981025784, 169.73204207256214, 170.94787300863612, 172.98501498870311, 173.14319906938405, 174.25245810319251, 175.55799591620226, 176.34996992330787, 176.74951061073145, 177.75696443512209, 177.78793300915973, 179.17704791035993, 179.77482832142039, 179.95486297276568, 180.42621554887563, 180.95252184174123, 181.14045965507219, 181.38648617239781, 181.44026652845426, 181.99068364925651, 182.40486214373851, 184.06235927956314, 184.24312346218832, 184.74056002593284, 185.08647934944375, 185.15333835832303, 185.77439469730933, 186.93682982475431, 188.74168910916623, 190.53420555748005, 192.34069527659045, 192.91458167287018, 193.27268984542255, 193.80915244011774, 194.77614043525489, 195.57243069169914, 196.52798962363298, 196.7294695037308, 197.94099187918582, 198.35697396808072, 199.31646788834007, 199.49424967144034, 199.66994952641409, 203.06115199189207, 211.15426810589369, 212.62470381504426, 213.48026714407141, 214.11782773754555, 215.09263595150395, 215.25507654840732, 216.15598774714266, 218.12623007542842, 219.16679218239022, 220.82235758283753, 223.14988969521443, 224.1958645945324, 227.0309870192676, 227.86076273217603, 228.87339983780163, 230.14983839828437, 230.26795617513355, 230.98363841541641, 232.10387773882695, 232.33701753224423, 232.92960877801582, 233.90625406325077, 234.32905240688672, 234.43986834196338, 236.33945989414644, 236.54373377749039, 236.9897498619309, 238.21766565650861, 238.73751769387579, 239.36126540940819, 239.73654189719213, 240.68595946930034, 241.16627325182594, 241.66907224979704, 242.07321102766352, 242.15474590213333, 244.4670010040135, 247.09196259207158, 248.26275593586888, 249.17514762138603, 249.51319917830577, 250.23685651604853, 251.06622500516502, 252.84252502705431, 253.76677129062489, 253.90416336895873, 255.64176204381306, 255.86875913102486, 256.16474520274909, 256.95278230764103, 257.35394916844797, 258.65158262277043, 259.76338607797601, 261.37526232900274, 261.71719451298731, 262.58370585960137, 263.1155044273213, 263.45612650846141, 264.45412277110108, 264.65384171436835, 264.99982059951577, 270.18893374851399, 270.29564033472928, 270.78797100528209, 271.22780041069069, 272.71090888793225, 273.02730609421616, 273.1426274427821, 275.29345779260473, 276.68131134611735, 279.19471140698522, 279.56434242365202, 279.61599020925598, 280.28357739193916, 280.34292184556426, 281.03434665226536, 281.56953920154484, 282.26603388056634, 282.67214781466686, 283.32779869003662, 283.74958379574167, 284.4736688346386, 286.41146132546362, 286.52153262205695, 286.86325794839399, 287.03021477746904, 288.22472290776079, 289.54958299536912, 290.2421035649736, 290.53022385088133, 292.114769264811, 292.73698174582029, 293.24831968453566, 294.05800403436365, 295.85024408928035, 296.78633610826893, 299.59271139180129, 301.19944611952917, 301.28653808399133, 302.26946789067091, 302.33869195577898, 303.61456448469761, 306.27513773849347, 306.69469633071213, 306.85271541250438, 306.98385923676045, 307.93321848378179, 309.49424798617628, 311.8766359294807, 312.25484667991986, 312.94217390752704, 314.18524013724016, 314.95351811695895, 315.07844462812358, 316.07374471001236, 316.16266119160719, 317.60581856656819, 318.57785455811114, 319.83378587829867, 320.7654362626659, 321.14862408473471, 321.32018568353288, 321.60037874812173, 323.29929035921083, 324.59736840262809, 325.05409905673571, 327.67596701376783, 330.30169595152154, 331.85856929920709, 334.81786607019791, 334.87764023067899, 335.48265940029387, 337.38531653542924, 339.8415780645758, 340.65202423521663, 340.90043466963925, 341.0621902630794, 341.28732683308954, 341.38263902512483, 341.60726533541134, 341.90006325351447, 342.80923385353094, 343.15161908622156, 343.58999941688847, 346.21181962548184, 346.32404932067141, 350.80830836961366, 351.48098137353912, 351.68365861744519, 353.00956675586809, 353.15132590849572, 354.276856677919, 354.96588352913068, 354.99728641523774, 355.81660275115536, 359.92380099205587, 361.00488106977775, 361.04412522132463, 361.40095312371983, 361.60056124168887, 361.86247245540562, 362.10768795889823, 362.14991995722465, 363.07558033476357, 363.40835941909131, 365.50136525324672, 367.36466267197022, 368.75073642972819, 369.06443354682949, 369.81736431219196, 371.22880453382083, 371.91106094637422, 372.22273449884187, 373.67999791674953, 374.85957665616149, 375.17102709098401, 376.4658958910635, 377.48021107162663, 378.22395629271415, 379.18519590776407, 379.59250683734257, 381.85366145949865, 384.15865707374087, 384.73851568059462, 385.06917360457584, 386.02481504950799, 387.44902858276379, 388.78481315686452, 392.05183944832652, 393.56274526080813, 394.83840275046811, 394.91920822086598, 397.31597501214191, 399.63361187660212, 401.50403173944198, 401.83551638103904, 404.36774031095456, 404.8635297457501, 411.54070899985794, 413.63884563683047, 414.37515457024648, 415.40814556294339, 415.83847827185571, 416.66135841164436, 416.73506084940226, 420.38424619999302, 420.60551322532046, 421.8777301169568, 422.82236837086407, 428.97105608127413, 431.13918107354402, 431.22351133218513, 432.9323863124593, 434.45996850295114, 437.79144353105812, 438.40532009742554, 439.34030825632061, 440.70288716298802, 442.84715739630371, 443.2982901787355, 444.5796497885612, 444.99690130077141, 446.49168295119603, 448.62004816032442, 449.32854010257455, 449.6676410669607, 449.87810080134028, 449.98968506414332, 451.63648627225484, 452.84450637666708, 454.96561611740157, 455.53790322275461, 455.77932540650858, 456.49445683655824, 458.09200669567622, 460.2677947432735, 460.47756059426644, 460.53438099549493, 462.29812305318296, 462.66499459529496, 463.37327551897681, 464.4050489332954, 467.94334294322385, 468.38333472295113, 468.88439367041559, 470.27203345637326, 470.74313091500971, 471.64504577177371, 471.74099284261433, 472.15016187358896, 472.37395427746225, 472.80763855641771, 473.43172051879543, 475.78961301623252, 476.21740986964585, 478.85987197435463, 481.16777911999856, 481.7315182030672, 483.36232563726008, 484.3952968857476, 484.60289909218608, 485.48197469681742, 486.80941708399172, 488.95521324307475, 490.57848975975764, 490.87961579612215, 493.14640741135867, 493.75102525040631, 493.97351916014094, 494.01039670506316, 494.22256744738678, 495.25079462554601, 495.93069103989825, 496.02277869397045, 496.35246911765137, 496.9579657532629, 500.46716851599086, 500.98939801515405, 501.80612657911223, 502.19658148950089, 502.24678675619521, 503.43752712504676, 503.78903087098934, 504.51149631263996, 504.75896445631804, 505.11105545498685, 505.31529366470988, 505.55881070051856, 505.75633665697234, 506.32469138588618, 507.43120287831539, 507.93028814783293, 510.7912108502278, 513.61950340433293, 515.31614956034412, 515.95960595533438, 516.69972222366164, 517.53457385683737, 517.56189333771226, 517.69533229941203, 518.27598435867549, 523.25864142535681, 524.58775662703931, 525.83804998412552, 527.17388596224987, 527.63542429763504, 529.34581671768569, 529.38444067010732, 530.43864857499238, 530.87266522517371, 531.44494402159944, 531.88464219687705, 533.51720877431171, 537.27548941062912, 537.75574969458842, 537.86838927812516, 538.55068840616718, 539.27235491566137, 539.75256526747478, 539.87640439761265, 540.15475982676503, 541.3903758682244, 541.94441273948951, 542.8405743833689, 543.50646925535068, 544.36670722353142, 546.30881232065974, 547.10838757409624, 547.32394583106304, 551.90900298531994, 551.97064889726187, 555.92120091091488, 556.01159732872554, 556.98713293909395, 558.5435881060132, 560.1558100891134, 561.00905536824666, 561.06361177719373, 562.3304607493792, 566.44909386679251, 566.87599295209247, 567.04034326740441, 567.18336941501946, 570.60653369466309, 572.64851034706442, 574.45460484469652, 574.70702728254628, 577.83163151190627, 578.16408922732796, 580.25129349363965, 580.78205701806621, 581.16475581987129, 581.21969008602855, 581.90308571086825, 582.62213320971989, 583.30411119533176, 583.38456285927919, 583.83915179913538, 584.11541163873164, 586.12623698015932, 590.51876646638311, 591.14355475660727, 593.32584976229873, 594.03233802872376, 594.0903299257991, 594.20702026290508, 595.10219797187631, 595.37304179129364, 596.11485316501251, 597.32011558564705, 600.45474235117172, 601.23564944857276, 601.8335212417943, 601.96236795075959, 604.17790774984724, 607.03428281429478, 607.64696457426817, 608.45258612845976, 609.26800607987582, 609.35080274171628, 612.2138962974243, 613.43579087311161, 614.02110035206124, 614.530394129515, 617.60445244867367, 618.81328854426602, 619.04517865406319, 620.43194041012839, 621.39673313033779, 624.55376434296011, 624.76050755515314, 625.69788410680974, 626.40613468628692, 627.81696311691155, 627.9669894223365, 628.13240340199934, 629.10553114434151, 629.58024450594439, 630.30120806343791, 630.99250780187867, 631.15200639581337, 631.29684685007953, 632.37148160585537, 634.45682689048647, 636.92138055920259, 638.15152294333859, 638.43366564062296, 639.45630812542697, 640.19416497560974, 641.43366103392009, 641.46275017141761, 641.85790842382039, 642.14071238452664, 642.43959377328429, 642.55270636311207, 643.40043538789394, 643.68626141715333, 643.74220746413573, 644.20453694278626, 645.79108226800258, 646.01652420722803, 646.96488759662873, 647.73132404795626, 648.62053045580558, 648.74619657989842, 650.02326333207179, 652.03576464827995, 652.79106310936857, 656.73576660868434, 657.34125089040663, 658.39220059281831, 658.94613259038226, 659.41747628445148, 660.03537066837521, 661.65955233174657, 661.72841471243169, 662.228083554151, 663.43049723799788, 663.62696567980709, 665.7728576976416, 668.52146491726785, 670.19392920226153, 673.8442716631879, 674.66198658413259, 677.08847277738039, 677.44726541874593, 678.31454493448291, 679.17498657549106, 679.43865899739637, 680.57063601715959, 681.05209096916644, 681.86987386027431, 681.90372885935597, 682.13592697141462, 682.96407635680498, 684.75132684396965, 684.80009024617857, 687.5973285738088, 687.99699422564504, 688.87466143888309, 689.72616442925789, 689.8917199284507, 691.40827201055617, 692.649990375676, 694.42779816869847, 697.82831202117234, 698.4937709408531, 700.11372380152545, 700.50330501309713, 700.71284953445183, 702.04888701788173, 703.23859903335824, 704.29478188052644, 705.05773351457037, 706.0727871859159, 707.20343164232452, 708.31047434119625, 708.38537854185893, 708.66723451369955, 709.64166022498443, 710.24808650740067, 710.36161413955188, 711.18703571579431, 712.50752174484262, 713.34839832638318, 713.81302932885069, 714.46405894041368, 717.09016114218821, 717.54193425896426, 717.85252367439784, 717.99941963318963, 719.12202891016034, 720.1133263706829, 720.17906863247686, 721.04282109849009, 721.81541441227535, 722.70815686604806, 723.78157673581563, 724.27014690604483, 725.93464611633954, 726.85203314166984, 727.27243901766724, 728.57624293791503, 728.72494720550287, 728.87006244792178, 730.00984511519243, 730.27909626530345, 732.07664697999599, 732.50245627098082, 732.73132174505179, 734.79061499886222, 735.69483258660239, 736.79392077216369, 736.90343798431752, 737.4597231065668, 738.34003518545171, 740.17219884403755, 740.25556402220559, 740.56912884965232, 741.47021331046835, 745.15259412520038, 747.09104651313044, 747.35972467603312, 748.88411677187298, 749.27778119188486, 749.46096739127381, 750.22392116086723, 750.52448830704122, 751.08111678817579, 751.22454939541467, 752.7245471981139, 754.06003117416412, 754.42684373033433, 754.55564180992155, 755.1507277934785, 755.81932626772539, 756.2711627783824, 756.9112366949654, 757.25594213707427, 758.1434948899057, 760.21855327709966, 760.56476645991779, 760.79562425646827, 761.46869011932756, 763.76305075413416, 764.09051612760311, 765.8893722375642, 766.11932733215883, 766.31824405661655, 766.37162467905989, 767.79057866106132, 769.19077842752324, 769.29809557748615, 769.92660437687425, 770.33807003078869, 770.39328687130364, 770.58364098795369, 770.82588729276256, 771.0806988041212, 771.28851366103527, 771.32813683925735, 772.01103396637643, 773.18037144936238, 774.28006459661515, 775.05060881400425, 775.30298778209692, 776.61595855592179, 776.88701541307159, 777.28760498238807, 778.59283289514667, 778.95288922554323, 781.24777097535525, 781.36803617207954, 781.44589124381287, 781.95896446995289, 784.42777255591704, 785.29929363956512, 788.28402793061525, 789.44082172446258, 789.49804535948238, 790.73738421753364, 791.43351017699638, 792.10162046914013, 792.72019412649297, 792.91515777087159, 793.99656592681856, 794.03319590152557, 794.71867077868228, 795.6319240548039, 800.40699170972687, 801.57499341325581, 801.71200485382292, 803.08858741764607, 803.2633247893109, 803.36955382861152, 805.19541374114988, 805.43401065596652, 806.18220029992187, 806.47319697132741, 806.70897155717557, 807.80323902875921, 808.00519518702879, 808.05554448558576, 808.09481214325433, 808.42097176824564, 809.76479283594244, 809.87427316797937, 811.08051453600251, 811.15909081471773, 811.6793179259322, 812.26459451131348, 814.29546883062562, 814.79483145606991, 816.23756846623473, 817.41021785490011, 819.02883397286382, 819.6177130834875, 819.79997460680693, 820.89237362603058, 821.84527803605795, 823.07473017468635, 823.70888018791118, 824.03239061723355, 824.85287093508146, 827.99154823514152, 829.75106940878743, 830.09910397168778, 830.99877786728928, 833.04692037766245, 833.80888057292702, 833.91421900231057, 836.63077420798641, 838.00159724970547, 841.03635610335118, 841.25660135019416, 844.80942169327864, 844.93806756535298, 845.98668693348509, 846.54359365798791, 846.99954376544861, 848.96615214802398, 850.60567371527168, 855.4619770892707, 857.83028036418148, 858.74603908413235, 858.97446185403089, 860.78636077404303, 861.12983925581557, 861.63565020446379, 861.69176489999722, 861.98762434567163, 862.72189575667505, 862.80172235146495, 862.90364388568275, 863.97316943353098, 867.35670730396225, 868.9671936438225, 869.10857458608848, 873.60366882390463, 874.05300033020137, 874.27449277798189, 874.31731801658827, 876.18123384344108, 877.440687496593, 878.57761215516757, 879.54282084459771, 881.32484762432762, 881.54883281953164, 881.77676159104328, 882.49155907565125, 883.74509858688737, 883.78459754754886, 884.92413048644937, 887.18008211970516, 889.00690612148094, 889.41410517787722, 889.50727296714786, 889.57621125972025, 890.53852458320182, 893.14797149685228, 893.80093033913784, 894.49305253606849, 894.80908501296528, 895.25182488820951, 898.0976534553306, 898.1466130228448, 899.71874608640348, 900.09793830436388, 901.52177945048902, 902.06517532628391, 904.10118019044933, 904.15100303404029, 904.92004395304582, 904.96450371902063, 906.33780168307612, 909.30619630079752, 909.34136404311369, 910.70698988450476, 911.71165616957103, 911.89367780135547, 911.96073216973934, 914.01868761426738, 915.31402022253621, 921.34678097003587, 922.08011840043457, 922.94314355240181, 923.29008790373246, 924.11791675729069, 924.64082573134453, 925.11898462120303, 925.33503298893095, 925.51937767929837, 925.68210304384365, 927.55435466184167, 930.69609706325741, 931.30487083122796, 931.35918583804846, 931.82273200196482, 932.26903720250652, 933.74050873209376, 933.78638212881413, 935.75675481246822, 935.91892835856697, 936.0047705669723, 936.10169395459491, 936.41283299884003, 937.80366275208348, 938.95968545054802, 939.86619970614902, 940.33929472182763, 940.94242854712525, 942.96995170857474, 947.41928702254791, 952.44224055204199, 952.69846877892132, 953.04645615772597, 954.0582656743469, 954.13842677417063, 955.55616010616325, 957.37725077354548, 958.08916528174177, 958.76494666974338, 959.62557785368074, 960.51775281793857, 962.45630197490038, 963.44054674600011, 965.07530586805751, 966.56841732078692, 967.14110615924108, 968.61232500089329, 968.94843861275081, 969.37673085536153, 970.09597807287162, 970.78519360411758, 974.0314123328111, 975.04241901206058, 975.51932067269934, 977.5225227726304, 977.58696739758898, 978.07034994169396, 978.2750795123535, 978.56304441105681, 979.23956947150509, 981.16716144947895, 982.74197224135935, 983.44219010707593, 983.78933977308702, 986.20584273803411, 987.06473328850825, 987.85088421716125, 988.70541547647292, 989.01049136528366, 989.04903102633818, 989.47047625292953, 989.58780670448118, 990.62444278445321, 991.34997690163527, 991.57413303908265, 993.69230008095394, 994.51905299098803, 995.99001925248479, 996.90640482411561, 997.89339061272892, 999.3744754365498, 999.77214641834951, 1000.3310862820491]),array([34.620395753476096, 36.264756912332153, 36.58011890622376, 36.655547791957183, 37.63048771733888, 37.760277199032672, 38.073101473903058, 39.612398630997376, 39.775818715391502, 40.059539904172894, 40.936461447703138, 41.726282815464032, 41.934942696294577, 42.141324070609343, 43.769683268579904, 45.302432261101977, 46.595304183950915, 47.570083991567465, 48.043716525972677, 49.923097283055391, 49.994301552879946, 50.078402896377149, 50.37119792025441, 50.682634110472293, 51.769467180090935, 52.008228099004079, 54.101326431101306, 54.200158766378273, 55.389984185160998, 55.830422246820568, 56.500266864894108, 56.663092093178371, 57.29008629737239, 58.16140520558465, 58.651101316834399, 59.299330686503232, 59.523274268894042, 59.841479962084783, 59.944938518684737, 62.81503730300529, 64.707503204601892, 65.35589044650726, 66.182601544574126, 69.734441817752867, 69.873645986130882, 70.333672898101767, 70.47318295563079, 71.459394742239269, 71.759537385338149, 72.272953983285888, 72.65134609516052, 74.638214238499728, 76.536840933961329, 77.422602943879411, 78.378605029553412, 78.838551311829477, 78.921515187864159, 79.834038927579471, 81.438898092339784, 83.049244950260814, 85.430320400092583, 86.665211374417751, 87.243591003514837, 89.613307961425036, 90.224003954675098, 92.378856082604727, 92.557106140680645, 94.078515868923304, 94.227230884538301, 95.100249723099125, 96.179744564365976, 97.379340767859134, 97.816042337171439, 99.159959811029324, 102.19797638081265, 104.71114968574381, 108.25934174978076, 108.99723978893471, 110.0729545857501, 110.62901545043866, 112.24782324569465, 113.06257836956445, 113.2932692727516, 117.21004499038291, 118.528753865862, 119.79919892969862, 121.92241329122315, 122.51100288786361, 122.7157131171207, 123.13902280963964, 123.57879947089468, 125.02884365674363, 126.87155963922254, 127.47232778427802, 130.62442927066931, 132.57260293723138, 132.78321881948509, 135.99907661315447, 136.97447752101496, 137.22193634378272, 137.42828902148773, 138.77242397151505, 140.00716072807967, 140.07972001654244, 140.11893586925777, 140.38735216829244, 141.88236729368992, 142.38223397859565, 143.13949359436043, 143.56673933746552, 144.51684714959805, 146.08971160120839, 148.69939831136895, 149.26481611308651, 150.16103528501958, 150.79643455036691, 151.00493229150999, 152.31780683304146, 153.59339706737242, 155.3409016588393, 156.49151918333257, 156.63558748566373, 160.39713292113314, 161.40237259515311, 163.99642285993207, 166.24969131777067, 168.0427625297657, 168.62340784378549, 168.96849476353989, 169.88228333204231, 170.70490273819627, 171.69937281141947, 171.95672430012485, 172.50510264538272, 172.78915014273488, 172.81623377688058, 175.04237640994057, 175.07690591331968, 175.78956325722265, 177.60348219857462, 177.64067731317735, 178.18576543540712, 178.32395589759673, 179.97746782790466, 180.30520286500467, 182.04366500656951, 183.04869756160335, 184.43839218243338, 184.59517663827987, 184.72132670668853, 185.32976857572888, 185.8847776429711, 186.77615537374487, 187.11891414948226, 188.38651470054484, 188.80078429351488, 189.77572100710739, 189.9376230628707, 190.18033485977546, 190.32492930956406, 190.4881920934904, 193.21708841902694, 193.61830673663994, 195.04353509000904, 195.60290099111324, 196.36712236297913, 197.31359702835817, 197.43381148050028, 197.76637618568736, 200.24673918152098, 200.81593692703109, 201.39477326100615, 201.97998733585962, 202.42258565599545, 204.67960094824409, 205.28424725434212, 205.61839743822455, 208.56443269815898, 208.67110135149051, 209.10979861476588, 210.30350498701853, 210.85422520871279, 211.34945710892225, 211.52857769029188, 211.96877647389005, 212.31980068680232, 213.17021990388093, 215.1901790669898, 215.99428337069932, 217.23467571406732, 217.68448380741427, 219.16934617426173, 220.63719586786152, 223.86025908594715, 224.28171518836939, 224.40514230397315, 224.70285908742221, 224.78942306051101, 224.84367604732122, 225.07555024276607, 225.59202183538494, 226.12296228384554, 226.99595262260536, 227.18017251302791, 228.21992068976073, 228.48713288634463, 228.52126995917087, 229.23289024425401, 229.94801011989722, 231.97966119393121, 232.51072193782386, 233.026948526962, 235.42864848750887, 235.64640569062749, 235.94378657931273, 238.07328602622258, 238.95481885734054, 239.12554463038913, 239.68085159594443, 240.47889241576044, 240.90680558723935, 242.71259885653313, 242.89584814857591, 243.30308582454359, 245.39458033034555, 245.49152752191245, 246.52843306478223, 247.7863542837963, 248.71859602057776, 248.93332715182163, 249.49122086938465, 251.24314026078795, 253.19636419037394, 253.4828253854464, 253.76996059129871, 258.53239562023737, 259.78663069920765, 261.29756210775776, 261.89858771106822, 261.94919929910031, 262.18683037363292, 262.9499188014704, 264.4273414913078, 264.97988176427276, 265.95691365176839, 267.50546796641771, 268.87620593546472, 269.18522536828118, 270.25165642899367, 270.93293472652454, 272.50747702851004, 273.2762223950831, 273.51991356463043, 273.61535492314357, 274.39670853054503, 274.43756485956351, 274.55228049671234, 275.01623175807413, 276.79500606596031, 277.35652246268961, 277.80530139628337, 279.28342510022435, 281.20454390708568, 285.42967948363412, 285.66349225547833, 287.66310297780285, 288.3832392730971, 288.78019453814937, 288.92332023452241, 288.96925008494588, 289.64638932071182, 292.96720658123519, 292.99884707646629, 293.3876911462188, 294.20443295861151, 295.9895649332268, 296.13204298674583, 298.25971236187263, 298.87495430638108, 300.29662310894406, 300.788680765425, 301.00908979779433, 302.03533095401866, 304.03062121599419, 304.0943535956834, 304.89722839473342, 305.40317722323448, 306.0593295530781, 308.4168977085875, 309.85636515987557, 310.89373675221674, 311.1465038911054, 313.04318701947386, 314.09061178605634, 314.98841586729679, 315.24296766387624, 316.66793995178358, 318.75282968336199, 319.69479464322717, 319.7192418508177, 320.41898678744229, 322.1844062618128, 322.33618599809193, 323.60829055437995, 324.20521275305356, 324.60078887384492, 325.36284191695034, 326.20025406341961, 326.55250964940302, 328.24288466653718, 328.37234542391639, 328.5350209827688, 328.70539105180126, 328.91933081767593, 330.77764900398279, 331.38143002673615, 331.96430592443153, 334.98074823149545, 337.31041939875877, 338.38878668781985, 339.6392612777401, 340.5829640296995, 341.26616221728835, 341.49329485918372, 341.68020265448587, 341.92967772658733, 342.20484048298937, 342.81300896613368, 343.43192652355629, 344.63434565414758, 344.99578989218463, 346.6992092600197, 346.75294201455984, 347.64961565157813, 347.70421267216739, 347.83122764573568, 351.91012833807389, 354.04138534613014, 355.27615477874116, 355.35352402484409, 357.10245610240366, 358.02580337656809, 358.12661897639106, 359.90666023463257, 360.53849194674967, 365.03089511300738, 365.15108011962968, 365.68441355432412, 367.37229099479526, 367.87183968023186, 369.06326759651165, 369.17535764515043, 369.66816408682939, 370.3807848024922, 373.20506650097821, 374.16320406226953, 375.77809187886061, 377.78871892108123, 378.40181978388802, 378.96618886377735, 380.61289363930314, 382.62643274186667, 384.07941048393582, 384.92759107863367, 385.94542198480627, 386.60364105942125, 388.30291032001332, 389.74924182651972, 390.28673571726819, 392.09730564244086, 392.14537837394153, 392.24750978788842, 392.81055215503045, 392.84220074575938, 393.31639557607349, 396.70732756509244, 397.57432686295425, 397.60147778446446, 397.65360955679768, 398.32861838532494, 399.25108560785657, 401.08560667021396, 401.66986553157017, 402.34910476492223, 402.92614563271502, 403.13186115145777, 405.9702523044291, 406.80559952241418, 409.40983133083949, 410.65485165145668, 411.39843015148625, 412.14510645662057, 413.33224781700216, 413.99730552579882, 414.02901578412707, 414.15588241941282, 415.52198678465004, 415.55347567162329, 416.11500460401589, 416.51580029267961, 416.80991790423866, 417.08427398260437, 417.21435692988746, 418.41909700182333, 418.87968190298494, 418.91840987010676, 419.03497352301719, 419.35931871669715, 419.7208123551149, 420.83708409571494, 421.6301631059174, 422.90460438174387, 423.38649807305006, 424.03500094065078, 427.47814257005189, 427.55822669246527, 427.66688965871862, 428.70195865574181, 429.41748192708451, 429.77304985713482, 430.20883160990098, 431.97640486138323, 432.39696190231496, 434.24863404151597, 434.37369778017916, 435.94638839378138, 436.52912792941498, 439.07204399767733, 439.68061385963506, 442.07115998364839, 442.38111564842143, 444.98875060717933, 445.73079478556133, 450.42308436105446, 451.56512562377611, 454.22183472243432, 455.416404315119, 456.89261455563832, 457.48552420567626, 457.69328447069142, 458.84637014483746, 458.99702271456374, 459.40465311689627, 459.83447616487172, 462.35351301595608, 463.83175983088353, 466.62387045636154, 466.84303039602742, 467.23407978181717, 467.98111737422209, 468.25866486739068, 469.58254058825054, 470.02158491880562, 475.3557061580799, 475.37701611415127, 476.12430359459438, 476.77819703625681, 477.07896895708268, 478.34230816652661, 479.14346825630753, 480.11457533496724, 480.56098444287227, 483.5261522741942, 483.87853900159735, 484.84435304331316, 487.33278126101419, 487.40183255002148, 488.57480238354356, 489.78471428333569, 494.01978253891394, 494.22220713045408, 494.99425990671824, 498.07651602980178, 498.42836576305109, 498.92241934328376, 499.29425855941798, 500.68731540825661, 500.72621185417239, 501.7745904510935, 504.03982320318369, 504.80945613435273, 505.77734343679128, 506.28803954986353, 506.48622059953811, 509.36747876816861, 509.99246734831502, 511.21792227443228, 512.35500352985594, 514.50924133697458, 517.92144176285444, 518.80914563744591, 518.99866819058616, 520.66642344679667, 520.7863384752518, 521.71847515873503, 522.07192471060807, 522.41906775587063, 522.76632780436103, 523.4945766374949, 525.01500073046157, 527.03576929367102, 528.17316145236452, 528.35350887211678, 528.58621773045991, 529.58415848106779, 531.51197357813999, 532.01252898225778, 532.86490041893035, 533.2842335290768, 533.3363751936223, 533.63794641679647, 534.72389708525088, 536.31564158249193, 539.27060183258118, 541.02468972802569, 541.30342386683594, 542.09185791350865, 542.9818981510889, 544.42725436405181, 544.74039338182877, 544.82987749714766, 545.64433830737266, 546.59001460160789, 549.06743855079594, 549.50673832782968, 549.82069076883681, 550.70119347756179, 552.76756429322597, 554.66548176371327, 554.69854238230187, 555.46153514871082, 556.15812644901291, 556.39019327626522, 557.17344524486759, 558.55700128636204, 559.28250636563007, 559.82460510509782, 560.09637757914095, 560.54693271523172, 561.14674376501057, 561.49589246697485, 562.06131748263113, 565.00017636859093, 565.1127535495441, 565.35027910068584, 565.98521120349733, 566.63402882281423, 566.72374539568591, 567.03301130956629, 567.96969342398518, 568.1184454445106, 570.80709866424615, 571.83861770739418, 573.67267428996604, 574.90097016161565, 575.44147498529298, 577.56014076269219, 579.6643073958146, 582.2075230883197, 583.1153368161348, 583.14456663493604, 583.61466004022475, 584.18379791774692, 585.32007734863794, 585.59778997892158, 586.06977803459017, 587.09631321677523, 587.17662731368682, 587.70640598068746, 591.24888812217137, 591.43911030108609, 593.48364277589303, 596.17937180921183, 596.28338808146691, 596.5727097300379, 596.94784241602611, 597.18043855389351, 598.21496520068217, 598.97408804535689, 599.54862943512614, 599.98480912992056, 601.02313173538187, 601.17850456658573, 601.22153705591541, 602.19880362836113, 602.61422412229581, 603.36822521995941, 603.72508796199702, 604.03630775153556, 604.91418446295722, 606.00767199625261, 606.44553766875208, 606.79373123394225, 612.73038450237607, 616.41981282702079, 618.29327178465098, 618.68607700106054, 619.12966666883869, 619.36850611084947, 619.6616563808185, 622.67771126134085, 624.06995112745176, 625.32574568956022, 626.43315811940067, 628.18374817411609, 628.24940778279858, 629.77817539077273, 631.77047977480254, 633.07590948631662, 633.41347988195469, 633.96971773800715, 638.79527320736929, 639.69025516125168, 639.79770372379005, 642.17429282613705, 642.83638198106689, 643.16658835898033, 644.34752476828487, 647.98910150366328, 650.71363369822177, 651.96160265770186, 652.22810877522033, 652.86601683833896, 653.06193723255319, 653.09875096135318, 655.16717092281351, 655.47080328360209, 655.98191609259118, 656.24960588109423, 658.25774104603533, 658.68484704208538, 659.51915868475953, 660.08683135565366, 661.85395310418403, 662.73255813854382, 662.82268943181498, 663.01267964611282, 663.71602202073927, 665.12739206044284, 666.19257167526212, 667.7878944551544, 668.92413926110487, 669.80057955246718, 670.03729662002979, 670.78454354974724, 671.46482682717453, 672.30303199171044, 672.81302205431086, 674.18794249922189, 674.599340605306, 675.07179408652132, 675.59538010361518, 676.54085799769018, 676.65492566811565, 678.66498142029354, 680.07689620272015, 680.26602958396813, 682.20839699744693, 682.63673579855276, 682.88590687317276, 683.53408644453657, 683.63108607809772, 685.05984973207967, 687.03678968883082, 688.21772673009514, 688.32982552280805, 688.96902867790891, 689.5084313505979, 691.96674265152217, 693.33935272033796, 697.34884269998565, 698.59680419848371, 701.40631884660047, 702.20997746027922, 702.47435429939105, 703.91838657093649, 705.54624333952256, 706.66993618458969, 710.94470634090283, 711.94185051017155, 713.34506607370497, 713.4876398424251, 716.14408192117105, 717.00562768616601, 717.29121831906116, 719.44930682119161, 719.91972478023069, 720.53577873292511, 723.98108988193007, 724.69166313567985, 725.89276145255599, 726.3430101779561, 728.13253991067916, 729.72983150270829, 729.77986654831795, 729.94049858764208, 731.18997279294535, 732.97891094302793, 733.56316673560002, 734.39703903988629, 734.84739626696205, 735.05853956907015, 735.34475416048781, 735.44608411040701, 736.28764983887197, 736.68333868425418, 737.45447229856438, 738.33871527303847, 738.39875852426303, 739.40167076670912, 739.52093380216513, 739.75156559263246, 739.80686860058927, 740.40634638302356, 740.6044398870954, 741.56108895114482, 741.78888715938831, 742.73220579844747, 743.23620523886655, 746.50600467616243, 746.83769788077734, 747.20311925424357, 748.05647052794495, 748.10964333966888, 749.62985360512278, 749.745565721616, 750.6793040636702, 750.80488034203836, 751.37411427557527, 752.69308017359117, 753.03870481887441, 754.53796758346289, 758.70157969838567, 758.93121368084917, 759.46909538219393, 759.74372381013427, 761.16644568217566, 762.53581694312425, 762.90278632383047, 763.22919338029874, 764.45351460428606, 766.12841669243301, 766.77145909117019, 768.77737047919913, 770.19961800672502, 770.41114976847552, 771.28233087072886, 772.68614366426482, 773.65205576858011, 773.69734654449417, 774.70162941709987, 777.47555994491563, 777.87725118196647, 778.05521882921903, 778.13171547024888, 780.44112916698555, 781.43998181786162, 782.33358875922795, 784.47223119726357, 786.38019688047984, 787.39988945171035, 788.73407377153819, 788.7888236667244, 792.90907855748685, 793.73387590795676, 794.28608308408479, 797.60231125763266, 797.95724114120821, 798.291375348815, 801.06282669476707, 801.72756815337277, 803.58368455265224, 803.7489593137276, 804.00790549589578, 804.4533816659615, 805.77742367410053, 806.24310978856909, 806.90759257540981, 807.88657411344832, 808.96210239184495, 809.14731193449711, 809.4449212238585, 809.62650884479342, 810.03408746767457, 811.51723013170044, 812.0230501858116, 812.19039217119484, 813.55354272596867, 814.77052800049364, 817.29254720324661, 818.52640160181909, 819.09081888295509, 820.18984754417113, 821.41008350170443, 823.42968999302514, 823.45441258252743, 823.85349818750956, 827.9368152729844, 828.33432792181486, 828.51702935622632, 831.02981419799903, 835.05291184374585, 836.60010209618383, 836.63976694057658, 838.62900447633945, 839.12347354368887, 840.93369347220721, 841.08123108802238, 841.64929070722599, 842.06539112887992, 845.60218004830813, 845.72383357303363, 846.24129995044382, 846.93334830025037, 847.86580982400017, 847.9115688574542, 850.4364602049269, 851.65630028978842, 852.09117927322563, 852.41537669062643, 853.73544471798209, 854.5581473014056, 854.68782442685119, 856.88897393219702, 857.15054073122951, 858.22296842029471, 859.15041561835528, 861.16777538724659, 861.97925126498978, 862.40504329356656, 862.92781534049118, 863.48253078672326, 863.57530226418953, 865.64014762524721, 866.57753099903255, 867.12902393670106, 867.43848055237686, 869.0281389796296, 870.32362816062619, 870.71400985793241, 871.00511975451923, 873.89446961419651, 874.77841482508416, 876.90598180629968, 877.44090896534567, 877.73398390815896, 880.13699304399893, 880.34660380631158, 881.16076020131686, 881.38152765779967, 881.96351226138449, 882.1086024244687, 883.33917960459405, 884.54200628741569, 884.80607041935275, 885.12415170522468, 885.61322007702131, 886.13174098395837, 886.2381546218453, 886.79441427434222, 889.00354106301461, 889.06829446706797, 889.53170037546931, 892.91255420680852, 894.28372907243784, 894.48927324694989, 895.36358517011558, 896.60264571951222, 898.94800601769418, 900.69896458011124, 901.55643497859478, 902.62729187511945, 902.71585895862268, 904.00389396762773, 905.06077299672756, 905.41515189169127, 905.53153009049538, 909.43330907420102, 910.10782189309407, 912.66537143975575, 915.69232187937587, 916.65173608343571, 917.38358376910173, 917.80149664884709, 918.13840560570259, 918.76737092452743, 919.16965155887056, 919.21417457129689, 920.35284629375712, 920.69517682887033, 921.23358275260443, 921.28462983674547, 921.64412579864154, 921.98051338143114, 923.39961278706221, 923.66261394424623, 923.76491377646096, 924.08832976057795, 926.48246212689162, 931.27292058454611, 932.54191039401246, 933.84477554539023, 935.06220814864639, 935.11200295506069, 935.62484936420447, 938.26694232708644, 941.85433570146563, 942.08028424572115, 942.98781996278944, 943.91150531988944, 945.20966649407217, 946.43492505446875, 947.31170165066749, 947.96871825286314, 949.50001245714691, 953.64562242229852, 954.63360641474969, 956.71299630732653, 957.1896479096406, 959.8331595981831, 961.23474838635991, 961.80322404027834, 962.72931545366691, 963.1516902516114, 964.06973340996331, 964.39552240405396, 965.45565489360547, 966.52011620682447, 966.83128957952999, 968.25469233767001, 968.4037446067382, 968.48714772400717, 968.62366180178526, 969.17911804263372, 971.30927546799944, 971.37598205806728, 971.78245327268451, 973.49241810664796, 974.53242028907539, 976.79793976387259, 979.08474996388793, 980.63283366945689, 980.73974876117677, 981.38976766867074, 982.18035692853164, 983.0589086543896, 983.53719870194732, 984.07460148752375, 987.5893053704915, 990.82745296820269, 992.27524586177447, 994.46028032066636, 995.55821786959041, 995.62790153767014, 995.66493885499733, 995.75139119753885, 998.7210047424561, 998.75006118718818, 998.96937115683602, 999.59387156006039, 1000.6349835995302]),array([58.594729011807779, 61.783983520212068, 62.243505137400916, 62.648871797788523, 62.708235908251154, 63.458609477304876, 65.903298716574923, 66.725138016665923, 68.916990290268345, 68.997484783169369, 69.3985151033921, 69.832822657965778, 70.529917660036986, 71.235369964994945, 71.818661017805951, 72.301200230131613, 77.743633864231555, 77.832901143470636, 78.314893805431993, 80.525408719127995, 83.605430450903356, 84.647049127818605, 86.124319097577867, 89.407101263010787, 89.723595599891595, 89.962523227775719, 93.492242359576508, 95.322495723900388, 95.586798138716304, 96.254709350674418, 97.243278310561053, 97.432975661915179, 97.537863305518115, 97.835010330202991, 99.378001589433424, 99.757095178998497, 100.27521490006866, 100.40127988249567, 102.17403395913469, 103.92898965916888, 104.20029925090017, 104.6500954727599, 105.29298477059616, 106.64033680098632, 106.8478523243156, 109.17599122281511, 111.3594861377025, 111.42761993376031, 113.45231394848251, 113.55775415003352, 113.7560057563353, 114.85337056882564, 117.53663658379244, 118.42974303913812, 118.74665637328343, 119.23829007244402, 120.75522004367038, 121.38088152130136, 121.5546899860192, 123.47639876635819, 123.82968282770325, 123.85177479747873, 125.84922005597033, 126.25278502669589, 126.46015338380768, 126.56213713783431, 127.0112228281002, 128.59213261968679, 129.00909785152049, 130.02643738004704, 130.42903737215755, 130.66050743427567, 131.59383045923781, 132.88746444981496, 133.15566648098485, 134.35133727680972, 134.78472817527393, 134.88985461121547, 137.48125247160337, 139.41223853272672, 139.44759711195687, 140.25990599449372, 142.12488839938672, 142.25856743557028, 143.05770930096872, 143.16715738535751, 143.94659776145267, 144.71812056443801, 145.3798999110401, 148.71087158676735, 148.97574110426805, 149.32905720512778, 150.21570174503509, 152.94134755892568, 152.99667516583051, 154.66348417233056, 155.05578955203876, 156.46193236335844, 158.01501939624396, 158.93652551639951, 161.210261429074, 161.91749580922774, 163.73808784358079, 167.6297001260557, 168.50545765298233, 168.96582612092939, 169.42246818754089, 172.92915154432183, 173.13339277964388, 175.07654509919692, 175.90052677832091, 176.07459366758457, 176.12869203993984, 176.37361363974605, 176.73875889442277, 177.46234216849237, 180.30918789964846, 180.65422025046919, 181.66007085664856, 184.27270906220815, 184.69985478109044, 184.91829990322015, 185.2905466592396, 185.44933081820872, 187.91447014449918, 187.9981011771653, 189.00933554658425, 189.23796443437828, 193.0772385052868, 194.67370250008284, 194.90935236796955, 196.52796048672838, 197.18472100592678, 198.11668414761266, 199.32301345125634, 199.5113502398971, 201.29459859558972, 202.95536737377728, 205.15023509814768, 207.52680933510644, 207.71155776811585, 208.27662429513907, 209.63076690615725, 210.46736793214981, 213.34690471467647, 214.09042787608584, 214.49855983433324, 214.66108610856315, 215.8559413142647, 216.3694539091164, 217.91502386772936, 221.8799968023223, 225.98068711483984, 226.06187363927259, 227.10497457899021, 227.64322523006794, 227.93078135405892, 228.12593417715871, 228.86786441132327, 229.48802807842176, 229.64650716467548, 231.25235696173752, 231.58100318221429, 233.31124996875008, 233.42452729322426, 234.52144848082327, 234.5577927324816, 236.76809545629672, 237.13415069691416, 237.57836588731325, 237.78320026752468, 238.12648810784748, 240.46604479259844, 240.69923301964826, 241.56983633306965, 241.59524854689818, 242.69467236788756, 243.17411777917479, 243.35125201246606, 243.40992508158462, 243.6667020955596, 244.1859620182895, 244.318397078765, 245.45903661014049, 246.66396902930524, 248.20941077642883, 248.40322904444517, 249.70898430758893, 250.79204333569317, 252.05432363659492, 255.66347274320401, 257.49356463923772, 258.81487383046527, 260.88369183268259, 261.83442305639528, 261.94490315063968, 261.99028029568132, 262.781117150694, 263.91132716428723, 264.40835814271441, 264.68116973242144, 264.89890551198704, 265.08022570148063, 265.20330115377925, 265.854852722994, 266.22457517591818, 266.60258652222734, 266.75332596497259, 267.25386765646255, 268.45554755785133, 268.61714569496678, 268.79285550707192, 271.31085793540086, 278.23528103617605, 278.79499115084104, 279.64306973025992, 281.92941028265284, 282.95113298264471, 283.14567309067689, 283.30145427878085, 283.44682275344849, 283.69987306881092, 283.79538791599725, 284.17988637258526, 284.32006686678426, 287.19870974823942, 287.95503228834986, 288.0198192367871, 289.04642885643659, 289.7091841081031, 289.81418669451625, 290.96751306465359, 291.47186551251957, 291.69870437890881, 292.08765793997821, 292.91258358667415, 295.21538461460187, 295.91089266360535, 295.98991118429439, 296.20166265261446, 296.89549070804128, 298.07338993344598, 299.45972721739372, 299.6094533913369, 302.89228492435262, 303.51454426136536, 303.71197172410973, 305.65660513429242, 305.72787417137107, 306.52996263548971, 310.65470936945673, 310.74602569582157, 314.2620340245175, 314.48878981537752, 314.51876020853319, 316.16883140356646, 316.45579995263432, 318.50556558059822, 319.72122918051792, 320.77608260792783, 322.46514796263699, 322.71002800959326, 323.29441787757895, 323.58964839662548, 323.76947264837753, 324.59013694497332, 329.54657409359186, 329.67511124754469, 330.24809429522304, 331.37565357822353, 331.54994975722582, 331.81628497738683, 332.81122892208754, 333.14168379623044, 333.62130674637308, 334.79044082370336, 335.37296668964382, 335.8352766940647, 336.674829501516, 337.31144599100134, 337.5090090095959, 338.49721827341335, 339.44149586510423, 340.02228392404396, 340.19812671902304, 340.85947802423232, 341.79415729758176, 341.97034396519763, 347.14442390742676, 348.15105844491967, 349.31649885405415, 349.45566271976685, 350.39661944931339, 350.46487924487622, 351.18923852967913, 352.60861393668648, 354.0075245454035, 354.02789365879789, 355.648422556328, 355.80111901347016, 356.27033810271041, 356.55214234243806, 357.46633277497591, 358.74176830093626, 361.28200215103612, 361.53374365854899, 363.91043448816964, 364.29539986724228, 364.82182614312154, 365.48944954778335, 366.2166618353794, 366.93486367999452, 368.96775955984435, 369.42487158990997, 369.5216128914148, 370.40856778214152, 370.69846058773203, 372.12238901524688, 373.9651733030355, 374.58236287860387, 376.3282480466583, 376.58843836704483, 383.35471980670872, 383.71652896206797, 385.22695755933478, 385.94622422418985, 386.26475208123202, 387.83785124485837, 388.81453579543376, 389.07329453341953, 389.44546021665059, 390.24884238675668, 393.91625846947801, 394.44546690903883, 394.76023805026836, 395.60377660185583, 395.98652850816677, 396.03171053848882, 396.16454066455799, 396.63351551586265, 396.6885982651346, 396.72519138561455, 397.20819352094765, 397.7788067243381, 400.87431059181233, 403.47749302495362, 403.59863232544842, 403.79225448489137, 404.16902403772963, 404.82161322765234, 405.62281736718182, 405.69259288400718, 406.53256595806153, 406.61059998798271, 408.9387742754144, 410.10526034892405, 410.56401206146302, 410.96153155036734, 412.15112986561576, 412.60569812008578, 413.73564652816088, 414.39267045601861, 414.45442024599635, 417.35518532553874, 418.01127467142283, 422.97184127293394, 424.58390108972873, 424.91647714467609, 425.53090603340218, 425.64964103161464, 426.73139331712076, 426.97813278989895, 427.76562932009966, 428.08273746358094, 430.33931751865623, 433.04194132830531, 433.41218136786802, 435.72238259700185, 436.25614803486593, 439.4484325873575, 440.93278769763185, 440.98337267365099, 441.75894945386648, 442.11298022013847, 443.67793440962572, 444.8240458377025, 446.18748308183478, 447.17879525384745, 448.10130205620874, 451.34112054705764, 454.39198852361102, 454.43133857561162, 455.25418999101242, 456.06993247570426, 457.35849210092624, 458.50214511166632, 460.54699670350982, 460.7927680705244, 461.20622484363042, 461.57152754452193, 462.76924264402248, 465.97048387190591, 466.22044445319841, 467.66761585011346, 470.24193642666376, 470.72923502642021, 471.74310175326076, 472.38420835477251, 473.41570414047573, 474.1019056979498, 474.29312653748229, 475.54990008019018, 479.14531397766569, 479.16931902464523, 480.87979182451261, 481.83956134138549, 484.36826730796736, 484.45111053176407, 484.76420346601429, 485.38460376489843, 486.14349558446173, 487.47748926825193, 487.64221165733369, 487.90592313036626, 488.03811761744794, 488.58577170987428, 489.50493308212657, 489.70341120289248, 489.88748284126143, 490.18427123433457, 490.2208280027495, 491.0181292486597, 491.88838393071734, 493.79401251883172, 494.83607978045688, 496.44367797170247, 496.54240293738462, 497.00677674680895, 497.69974917482415, 498.11852540899775, 500.83471159969378, 502.83076611855762, 503.74748385359806, 505.37564051181073, 505.81655123654605, 506.89705208043137, 507.35515202006013, 508.02804439610213, 509.09302937364714, 509.97235307864588, 512.41015372665481, 514.41380336638611, 515.59134305320902, 516.16195939899967, 521.42873412332324, 524.63314413348746, 525.71181762353115, 527.21907313277814, 527.77184589807734, 528.03958000657485, 529.52287462124286, 529.71277743399946, 531.63948471918582, 532.0673516970719, 532.35007689834083, 532.80534965200991, 534.22302382012799, 534.4756676110743, 536.89719675289314, 537.67301965666104, 538.79586224666843, 539.62664304644306, 541.80365670150456, 544.27872826048213, 544.64180506556454, 545.13782115800075, 545.3122526164392, 547.35142958781194, 548.25474160015153, 548.57386313394443, 550.530534688241, 550.95911725155622, 551.59191074643934, 553.17799002534241, 555.66393486798529, 559.73278826965168, 559.82009373568678, 559.93932349166187, 561.1719007821273, 562.33960360369031, 563.28525410062082, 563.48705224126547, 563.94207998411071, 564.45336390086197, 565.27705190342522, 566.82316583159093, 567.69160622569598, 568.56928547963491, 570.16602291670677, 570.64249475411714, 571.08926520241198, 573.49506619166414, 573.62797389384923, 574.22584223422109, 574.77496448679813, 576.67930794940412, 578.09478141047634, 579.42890168904194, 579.51541483987216, 579.5575463114684, 580.29904521528806, 580.59898282361291, 580.72208718438037, 581.56189359893983, 582.63254279688033, 584.82285393942368, 584.95705748870057, 585.32770424114062, 585.92379450672206, 586.44220258559631, 586.73352643410146, 587.59139802604284, 588.34171986498177, 589.98515782046445, 590.46535963101314, 590.67929482299144, 590.91036036430444, 591.28943954769068, 596.05310532661235, 597.10916607614195, 599.11635437807593, 603.77302895668197, 603.91521832272122, 605.38240377977354, 605.68091388405799, 605.81574627543625, 608.37850441751334, 611.31108060684744, 612.03306932607859, 612.30700796060046, 615.15694522827675, 617.05436601114593, 617.53375846603319, 620.5271859217047, 620.70375490625418, 621.72372287859605, 622.62662369259829, 622.86063929723014, 623.15197322986273, 623.8382964037969, 624.8025846004407, 625.72604091818062, 626.71092181339429, 629.31816462092888, 630.40937569003393, 631.60093315117911, 632.44868614090456, 632.79949281008373, 634.43604820800124, 634.69806266804835, 635.43900752070431, 635.65141367232241, 638.12327807781764, 640.45752339479213, 640.7646853778848, 641.83660596883158, 641.93995553781474, 642.04698521698037, 642.47337874987193, 642.580575193247, 643.8855995023597, 645.22119765841035, 645.44833041195409, 646.47247070910078, 646.51529519429414, 646.54945261097021, 647.96971212446192, 648.24890193803276, 650.30661352751963, 650.81961830836985, 651.13261663723154, 651.3711264849278, 652.45755611144648, 652.74078364704872, 654.78288626448682, 655.53108928642553, 655.60524668455889, 655.65889938772398, 657.05647655933672, 658.51270551865389, 659.28676282275126, 661.5178240451155, 661.69913002559304, 662.71691018510217, 662.92337440149595, 663.78269779258892, 668.64262903057806, 672.7516741886991, 672.85501645897318, 673.23441174849177, 675.49342151789256, 676.41753821114787, 676.58160877335683, 677.1993464819235, 677.24708094019718, 678.95121761761538, 682.10410041435762, 683.2495789594293, 683.88355286477383, 684.4468211981075, 685.61509787572811, 686.85404242504603, 687.23499049435623, 687.84928218454002, 689.13307586566759, 689.53041808318108, 690.3254477880605, 690.46345363892817, 690.67909815397854, 693.33935192372144, 693.80151443564478, 696.35872277254543, 696.84869576176629, 698.39975297558453, 698.45558491880433, 698.72003096631329, 699.97170784693424, 700.33919702122159, 700.74829883672555, 702.74505780504944, 703.67731568613726, 705.58273710363255, 705.86583957106893, 707.62954683405167, 708.57652005438206, 710.89430292273346, 711.95222668695283, 714.43403192708638, 714.86124872912433, 716.69454436959757, 717.82624386695409, 719.89060872025425, 721.1525253058112, 722.22366248405035, 723.23314987240065, 723.7911713606162, 723.99589585620231, 724.17560153965633, 725.34299179759387, 725.74437267667963, 728.58960173999697, 728.77449747922492, 729.75538828785238, 731.34158471754279, 731.48617482446718, 731.97959159173638, 732.42158814445406, 732.64706488924696, 733.3584740484157, 734.45828856567414, 734.99901977650802, 738.21193474092615, 740.46462419635179, 743.63823002553841, 745.32246157897725, 746.70061152176299, 747.3998638466868, 747.48295673162761, 748.54965849222856, 748.71374926552744, 750.21927095330273, 750.29743410915501, 750.63125112905414, 752.53839494540398, 752.96288492922008, 754.10187318084809, 754.30338389323992, 755.70141690971309, 758.52045280163725, 758.86337009316708, 763.3544736716857, 763.72812619133776, 764.86921178699424, 768.39560563727082, 770.40908805619995, 773.96571297992375, 774.00768707767679, 775.08449823802641, 777.27588094468956, 777.54020970413796, 778.00162016402476, 778.20815536889916, 779.76434407263798, 780.57684864304736, 781.21877481171964, 781.57743059211043, 782.09992720716536, 783.36453997481544, 783.97352041588636, 784.00096952368199, 787.56809587660905, 788.67532891762335, 790.31491861263476, 790.69889505857327, 791.24801398686657, 792.2112279591928, 792.80737944529744, 793.17218270094202, 795.31078536512973, 797.21835350278661, 798.14186251764966, 801.61530124065655, 802.13955541644157, 802.20625425223977, 802.96565948556122, 804.23477203841549, 804.88892746841452, 807.33145077042411, 808.15986798293454, 810.14025063083409, 811.68106834442199, 811.85502166150479, 812.68834726820978, 813.01275119505908, 813.2377564595605, 813.60924780799803, 814.12908215829054, 814.57558268273453, 816.35163543043393, 817.18518156611856, 817.76807054803976, 819.29325789265476, 819.4946639749063, 820.96363785877418, 822.77901246930469, 823.0582892985816, 823.2405760786537, 823.5163425748799, 823.90077238096808, 825.92980839580355, 826.86945628033584, 827.20440225403433, 828.70945776547694, 830.97133856442474, 831.11905334645576, 831.60233078531473, 832.56919956446791, 832.64250710367116, 833.5141824476201, 834.40735136842795, 835.09409977281962, 835.75480468482624, 835.9323044851667, 837.83167405865959, 838.07178921981028, 838.26813985684214, 838.50684980344442, 841.6935637170136, 841.73259172347014, 842.08149636565327, 842.58826181724999, 842.77448712549972, 842.90440717829563, 843.34152056357618, 844.6371343679192, 844.70047075831485, 845.67441403584905, 845.8510535935801, 845.90189358730174, 847.93102961750981, 848.45211513531751, 853.43649491438362, 859.56071762613738, 859.65596567470118, 860.05259650453138, 861.08526438125591, 861.19555565413054, 862.78835391854818, 863.87558923381619, 864.98999081806164, 865.64466034214468, 866.56108554365551, 867.78697455710471, 871.59836276786098, 872.23773926024319, 872.3079098900962, 872.39080189326808, 873.44663126394198, 873.66515081519844, 873.91790937121868, 876.01840800093612, 876.72354044063343, 876.75724282038368, 877.72935729462426, 878.91805835659386, 879.77977792449644, 881.60800067392961, 881.68009976068788, 882.92050217254825, 884.01720576040645, 884.27371008155194, 884.83001228820694, 885.37152351397197, 885.87185293654068, 886.00515375673933, 886.56062942469543, 887.45927615759217, 887.65029441371894, 887.84386273240534, 888.07369889968959, 889.5543346181779, 890.70227242580563, 893.39907009077308, 894.32278896676655, 894.72362367308881, 896.64399157182402, 897.87247390317361, 898.32664506154731, 898.49628928241748, 898.86352107366247, 899.08800159702457, 901.57026841569802, 901.62901543180169, 902.20876914705434, 903.70712646043535, 903.94793362266716, 905.61649735931701, 906.55946029985103, 906.9680064638801, 908.58278410943149, 909.29710858187832, 909.6355301668824, 910.74047840863034, 911.7897538861796, 912.0520422293049, 913.61032574072635, 916.5389267953185, 916.80146551594589, 917.24904539289241, 917.50978585766586, 917.67738264568584, 921.12414329742535, 921.52873087625323, 922.4784795337788, 926.78792742264682, 927.41126020596528, 927.77900343418196, 927.86031749930726, 930.33761739739305, 930.98943143603333, 932.123133164509, 935.39560622643023, 937.21385137151617, 938.60911241902306, 938.83171691289749, 939.05199578802205, 939.72908731490065, 940.05062850829506, 940.80888901783328, 944.36406031102047, 945.38560846311282, 946.37036101937701, 947.6886638884157, 949.58601202318289, 951.1187780152726, 953.22632719495095, 953.40414831206442, 954.8028775044944, 957.22246813119443, 957.56540862875477, 958.01417356443801, 958.36784719027764, 959.0696978756198, 961.66252645636848, 962.01787994700328, 962.98658526405563, 963.40493316671177, 965.63093079144448, 965.95917603262603, 968.30176385317498, 971.96135111139267, 972.5754504869692, 973.12335477343561, 974.18263369844919, 974.68451861719257, 975.37076877796619, 975.53234886054679, 976.11353790030648, 976.41091358640631, 977.66040758013924, 977.967433608448, 978.10436850770293, 978.54051714936372, 979.51503384127864, 982.18350401106977, 984.48978123278675, 985.72632889383704, 987.18735505218228, 989.91416774559275, 990.02875922438022, 990.55529514369323, 990.8823323918383, 991.10632202498471, 991.77046733052225, 992.53168812973013, 992.56822903907562, 994.75119386450535, 995.10488943408757, 995.95237738625224, 997.39497580766124, 997.99994462724658, 1001.0690573248031]),array([66.940149413091859, 67.090298554446463, 67.418092828430559, 68.13152267156228, 68.237464514452526, 68.855200867326516, 69.410864122863856, 69.532419655261521, 70.053918935740128, 71.664392358005699, 71.747010258774779, 72.622125855191896, 72.826211733864923, 76.587796020020306, 77.055737587144506, 77.741149333880486, 78.898833636489925, 80.495850992202605, 83.410639847857169, 84.015029519410348, 84.447915508447508, 85.928171211707379, 86.200387593020537, 86.73657639494499, 91.105467973180893, 91.982352253947809, 92.212392855506522, 93.901557308826767, 94.086996193928243, 95.584068797571163, 95.792293193955459, 97.115006950425041, 97.471286768060665, 97.73915614243019, 99.441540232962211, 99.935534935103846, 100.34948488775359, 101.47182937162393, 102.32484199731884, 104.51075763725882, 106.2273532782107, 106.6115072368859, 106.79904590915632, 106.86574217111942, 106.99213484215778, 109.58121009175716, 110.27313727791476, 112.38623842615385, 112.5817476869462, 113.20594410193134, 113.77973489537803, 114.01183264796492, 114.56662095212616, 118.64359955570364, 118.83768411149438, 120.40627445065535, 121.47631710995002, 121.79323871417618, 122.19894016161021, 122.34549436277314, 122.79337973379148, 123.01085935003903, 125.94141531577678, 126.55043344886143, 128.07157201628101, 128.28779753189582, 129.81482456257237, 130.35595687347558, 131.78589847733818, 133.55759217392651, 133.67108180269494, 135.62026521117841, 136.4440522265339, 136.71149582555577, 140.36637946667992, 140.63910932400128, 142.25949643051806, 142.94286907126644, 143.86851655861821, 144.29739502053104, 144.51366381226106, 145.695827878702, 145.82737538429893, 146.06413410918753, 147.97217543020218, 148.12583102215856, 148.72765224337931, 150.81034040186248, 151.2996948862521, 151.53826295161457, 153.06716080571445, 154.02682892456343, 154.8997665375735, 155.23387651791583, 157.28944932363271, 157.75236591468743, 158.58811507439836, 158.62178519236403, 159.73192153844903, 162.08040542278943, 162.62019426165384, 163.09320453648618, 167.14069974847453, 172.52263877190731, 173.07987651886913, 173.86570943704587, 174.57178515110257, 175.91286176429776, 177.69584133300958, 178.47937555762098, 181.88240838277545, 183.67786133887114, 185.96348598907537, 186.40410735579289, 186.58571835178114, 187.00655140423206, 189.54568289905956, 192.98439894811972, 193.34748731182515, 193.53610594612019, 193.87663939329676, 195.85208615885719, 196.4352585234669, 196.69006956082546, 197.164327570148, 197.3399032067251, 198.75624521104049, 198.79434282657141, 199.48728870981196, 200.15504932644205, 200.55946750468684, 201.16742553386854, 203.67081295382161, 203.94939605466345, 205.62584161016449, 207.65400824703309, 209.92170503050878, 211.58408469632454, 213.63275367388363, 214.99571143986137, 215.15782891509838, 215.3327490730137, 215.43311590718386, 216.20068412705729, 216.5029483214594, 218.1272598651511, 218.61287979096718, 218.707652088472, 219.91288267811402, 220.17871893238967, 220.3061790334732, 220.94351978824292, 221.16647495697489, 222.1615495062951, 222.2686621269425, 223.96793306191549, 224.06564049436838, 225.04397522001707, 225.19504140256984, 227.44840476944876, 231.10651858449722, 231.78280959458249, 232.11549954623356, 233.27033376882363, 233.68529858962418, 237.77900993222619, 239.87665453500009, 240.23697697887826, 240.82101957168899, 242.17761043902766, 242.7520610609397, 242.95991747050095, 243.38116474233482, 243.49423082391465, 245.39913415213027, 252.18449411603328, 252.85921064617378, 252.99890858763925, 253.3494449436478, 253.82482542608508, 256.17775184945611, 256.41312579275956, 257.17080049694607, 258.71904387062278, 258.95064381013123, 259.405866733209, 259.59681185141284, 263.28154067979699, 263.60199014796939, 263.63960269248469, 264.21016440410085, 264.61204364494012, 264.71207482410603, 264.87679031813661, 265.12393124269602, 265.55595417816323, 266.84239756453303, 267.17174027380128, 267.73598553196234, 268.84835268304801, 269.41676353078657, 269.47848155539697, 274.22551240757554, 275.22302149150283, 275.55109796450154, 275.69890503745756, 276.5806729538532, 279.71177758950904, 280.529279604637, 281.64964339435585, 286.12927684278196, 288.80601089342031, 289.08620757131877, 291.00487379267469, 291.61053794963692, 292.09381828424137, 292.23008698322838, 293.29028321850319, 293.8474979202681, 294.62111473237189, 295.38079809510845, 295.65004723915615, 296.98440077623053, 297.01595085465163, 297.43678866362842, 298.76732169549524, 299.57435773527635, 300.67726458995929, 300.72063497232318, 303.55037063737348, 304.30706382733268, 305.35248624432592, 305.76912620192007, 307.0217248815743, 307.32872645090157, 308.84835952491915, 309.23363420682148, 309.46528212822335, 311.31352859458605, 311.715590434793, 314.95427547498656, 315.10094368554485, 318.37238885967122, 318.49788220999045, 321.87441840577458, 323.19727103620062, 323.49789463993858, 324.13037797949471, 324.32343537372986, 325.08479316070822, 326.02656803447564, 326.10996769121721, 326.84640901023192, 327.54562029318089, 330.94617435861255, 331.42726978155792, 331.72645767597487, 332.88253020063695, 335.92636101145632, 337.28292296384723, 337.79000976608978, 338.92000643964889, 340.70102725507053, 340.7697455141917, 342.20628576994193, 343.87934997241518, 346.47979528463321, 347.23559393841356, 347.31460069512536, 347.35169230717605, 348.71239074453393, 350.81956478864191, 352.20921505472108, 353.71078077883243, 354.72938656165985, 356.50737584796804, 358.19683774821516, 358.67211445952381, 361.12839686806683, 361.34413563476903, 361.46615297370698, 361.76763832298917, 364.08745822627776, 365.49720771414002, 366.56067703332877, 371.78611035246792, 372.32427822694484, 374.18237983608594, 374.89523453518177, 376.95362461434485, 378.59558713213573, 378.77858612254261, 378.8136897627835, 378.87795601849729, 378.94574742418962, 379.55531762637196, 381.65670447917591, 381.81356951727111, 382.94328678428974, 383.07110007506054, 384.01779793579584, 384.18370302384085, 385.17933983625221, 387.10722905532481, 388.99370533605679, 390.33423315127521, 390.4516984799215, 391.25101036242216, 393.23012997346166, 393.42267587389819, 393.78233045958638, 393.98473853301056, 395.3055029737701, 396.64537961431193, 398.96785261118322, 403.07843948059451, 405.44935281364411, 405.82863595592386, 405.92528848283536, 406.73450798945811, 406.97259619963728, 407.65179415081877, 409.06210649453669, 409.35202659781379, 410.28705331923499, 410.72606253075378, 410.85121020263858, 411.45421383989463, 411.85078461583822, 412.60459915736521, 413.51630984997217, 413.55653505305844, 414.63193316064729, 417.88464410187214, 418.94121976283071, 419.02255377770979, 420.11206697314088, 421.88183539837075, 422.25638413317233, 422.7713899197546, 422.92096797246955, 424.70304393071996, 425.16292614915102, 427.99848706941123, 428.13278383505866, 428.9269982790384, 429.1611389630865, 429.66862748616251, 430.06979415386394, 432.50326689721913, 435.87301965117717, 436.85913855909314, 436.91592601676876, 437.13212546684031, 437.29103042605857, 438.98508862232637, 440.40491278843956, 441.6491523783244, 441.71855180179551, 441.7913304620825, 442.34881638454272, 442.92649670197193, 443.31170636049563, 444.47928742971988, 445.15211530507253, 446.83309722638262, 448.46998346360022, 448.90664504237481, 455.91680980222469, 458.05736412932737, 459.54656849410293, 459.7920632729315, 460.65691111259207, 461.42037204245179, 461.76796260965199, 463.88300401047661, 464.37306564589841, 465.04633384473686, 465.76327862378974, 466.72368268893399, 466.84965430197678, 467.39898418955607, 467.8932310989839, 468.78118532214938, 468.9288101186425, 471.05902110858523, 471.84956096766388, 472.44898522017928, 477.06018514602766, 477.59170368880348, 477.86823180784535, 477.91092430649167, 477.9334910170345, 478.39099088132838, 479.41433575372213, 480.23328751228655, 482.24626203451754, 482.32314796289324, 487.76460545111649, 491.41506234954329, 491.88506545525871, 493.70153195441134, 497.72364523683558, 498.76153185926654, 498.80005251435352, 500.15281383180957, 500.29857542688791, 501.69486653593884, 503.92120956814324, 504.20940130181026, 506.84758856807821, 507.04543021138977, 512.53543104413859, 513.45284086447123, 513.87448637321484, 514.40536785630854, 515.16142121661574, 515.58566232603926, 515.85091092575146, 516.22647702645611, 516.49129500343497, 519.1671444069334, 519.28084054940439, 520.48551159345652, 521.69487204932818, 522.11610529356005, 522.47916607841989, 524.241650229985, 525.1874412531605, 525.46849952827426, 526.6001576466125, 529.58103871033734, 529.60668681235313, 532.54610123410714, 533.28448987931688, 535.08320779702933, 536.4604673283452, 536.49316341988219, 536.56687610760707, 536.88107861807873, 537.41267342214655, 540.49328286234186, 540.92489188078923, 543.21163140033866, 544.15486697257802, 546.11105237931633, 546.85940378565942, 547.03322194594523, 547.08811268976513, 548.24716429479895, 550.33358719960472, 550.52596276365546, 550.72161195324713, 550.80538823216762, 551.56133816557497, 552.38840841862554, 553.33210642749862, 553.75523345158842, 554.23517896752594, 554.78104304058911, 555.71098071209587, 557.35381401483858, 558.86829627450209, 559.09299839310791, 560.72412032840293, 561.6728961871388, 565.22246709912201, 565.66816790365863, 567.62727742565448, 567.77734778872116, 569.12642033936595, 570.02657574645104, 573.0871411479576, 574.79829652840522, 575.13871437542696, 575.4785750025851, 576.29384218238135, 576.54056250602252, 576.83514032133178, 577.46194957845762, 578.76364048961955, 581.52623767155103, 581.83679115760651, 583.66359250149594, 583.73236281707079, 585.85453835901842, 586.55622820251972, 586.62653043484659, 589.72641637951688, 591.32959282270849, 591.97383958072544, 594.96107962734027, 595.37657329594049, 595.70747188851908, 597.78328002484795, 598.19826594373365, 598.76648094827351, 599.00423766073595, 599.80041200428286, 599.99943696004868, 601.24380273100155, 601.4239641812527, 601.87545999881354, 602.43009708279044, 602.76762840697995, 603.00217818033184, 603.04573499466505, 603.34653268891475, 606.31872408415416, 606.65770319617536, 606.90536829773214, 608.23536074452727, 612.17066632432966, 612.30981020639399, 613.03760528364478, 614.97243420570931, 615.87734795554104, 618.98663645113129, 619.67919703859604, 621.75099024564099, 623.34359793494605, 623.88242314713546, 628.92060060374524, 629.99487154223232, 631.55335224621126, 631.8020511362613, 631.97984962288569, 633.71445989061863, 633.7591741550807, 634.83787986140294, 635.21772774283386, 635.37688729515435, 635.87359584150272, 636.99650572560847, 637.22947378695289, 637.54822667079532, 639.03927708181425, 640.21464469663783, 643.69966790195667, 645.80319202641374, 646.90449298737121, 649.70102822870263, 649.78933073584517, 651.98197684127069, 653.42581087789335, 653.62908335975499, 654.46931838295632, 655.64367977522591, 657.29780544981634, 657.59843511351289, 659.53377657250951, 660.54590588586302, 661.36176146624598, 663.4215939624811, 664.3838154011479, 664.67964025054243, 664.72195905863657, 665.37712113098428, 665.7688567227176, 666.40017814742453, 666.8381090264445, 667.50725010363328, 667.55139574298005, 667.71441167029036, 669.6079854041584, 670.16076775550118, 672.08742251985882, 672.11150758827944, 675.04425270918273, 675.4242275227889, 677.05869527178743, 679.76640749988201, 680.18598236592936, 683.41259562895448, 683.65008658785939, 683.83692318603835, 686.00651870919467, 686.69032034565623, 686.76658254900826, 687.66733169177826, 687.87171505539084, 688.07973985515821, 688.3871782867883, 689.04729624899664, 689.6000460548662, 689.79853528564229, 690.04246945446823, 691.85758053531242, 692.30120558170836, 693.83746943183951, 696.18176850543773, 698.07663218349535, 698.83960773397428, 699.36399269178139, 699.93357049279439, 700.42177496523198, 701.08999662424958, 701.99188618253606, 702.0932787048381, 704.01094365415111, 704.66699812898287, 705.57286205122205, 706.2111556035095, 706.65617488365206, 706.87097710009743, 708.39614784801847, 709.21825359996535, 712.4678022041951, 712.91196496924351, 715.15828870678558, 718.23721939366294, 718.44862128278476, 719.07260590648752, 719.43017904792737, 719.92778524137634, 719.99926178159308, 724.52279350038157, 724.92459250890067, 728.83132094695077, 728.94520928991074, 731.93513830971654, 732.58830710658663, 733.22148696543161, 733.61356528958856, 733.90666936412413, 737.35890966905242, 737.44057171772033, 737.65799730627793, 738.09827745864379, 738.18174257479109, 741.44549258357927, 743.48519162929233, 743.67028102606525, 744.61876215340976, 746.00814089928872, 747.25361697198036, 749.35506230773285, 749.9385629332744, 753.40681486522897, 754.68544140267454, 754.98802038915665, 755.13744601690155, 756.54049331358749, 757.11071294661656, 757.21480618432736, 759.01200703089387, 760.50223375944643, 760.86302481187545, 761.08096239688223, 763.31695824455869, 763.42597600218801, 764.51348676293946, 765.88152805848927, 766.05559122145121, 766.70445498205902, 769.56403387604212, 771.67176886877814, 771.81609309663997, 772.59205944999371, 773.024035336574, 773.56767591267919, 773.71112143790049, 773.96086545936566, 774.55333913175048, 774.93908644413636, 776.15075232289939, 777.20602733137582, 778.68304702296894, 781.5580097533018, 781.84406444640933, 782.22255895055662, 782.39092112869196, 782.71792549836471, 784.02141737753857, 784.52249578207739, 786.75134679609528, 787.53274473337251, 788.01758156173457, 791.49016492953024, 791.55959359441715, 791.9352920605719, 792.64350147941889, 793.14244106951878, 795.07581397544311, 796.86158162649133, 797.96770862942299, 798.47474369611302, 799.92314613285021, 799.97336559308803, 801.30302908798535, 801.96390170991401, 805.34022325939713, 805.64874341927089, 806.46408619551141, 806.63040673151443, 808.1311053027872, 810.16278053903807, 811.38872238196507, 813.4206798990549, 814.23077377340246, 814.62440539645581, 814.89855385887881, 814.95651536443074, 815.28345035356949, 816.30835585093121, 816.73797507085067, 818.60943549697538, 818.65369414975248, 819.5348742571623, 821.66679812472921, 824.40947825109549, 824.63475355698608, 825.53546719670408, 826.97501237620349, 829.68558382215201, 830.59752579213, 831.34119587791554, 832.32124550875028, 835.13482136044263, 836.07706394293939, 836.41174530364799, 836.62550705832518, 838.18850887837527, 839.304278772511, 839.77013177528522, 841.02867376983284, 841.34553706174154, 842.92066518367017, 843.30511047496884, 844.31861957513149, 844.47445256180265, 844.57447298688714, 847.46520426476081, 848.78346077531592, 849.29989824322081, 849.58501476449158, 849.85591567718961, 850.60728213233131, 850.90708498780668, 851.11455067256111, 851.90389172918321, 852.03374422740342, 852.13375972359256, 853.63220230503907, 853.71319917906999, 855.39857102659209, 856.29842532043881, 857.25286128981043, 857.5224123523509, 857.85855718894868, 858.43855823506181, 858.78142309206532, 859.13798718436988, 859.9250752670672, 860.32438183640681, 861.95867826347819, 862.36676506317883, 862.72861067203985, 863.39791394717793, 864.44355634615101, 865.59692013698884, 866.48764636838769, 867.46306157529546, 868.34900806677683, 868.98222851759272, 869.0409163024483, 869.82815433001053, 871.09040788123593, 871.13710596895976, 871.85160307701801, 871.94464567423904, 872.50115862271343, 872.53434410044736, 873.16549759358611, 875.16218906412416, 877.32309648602995, 880.00869448571746, 881.09075597830531, 881.95364991066469, 883.93417258562226, 884.14977498588621, 884.69145084255013, 884.95548833238308, 885.48627020973493, 886.59640076299308, 886.8298507608381, 888.36577766944299, 889.84106324113839, 893.0624939974017, 894.40877412153486, 894.50478510689004, 894.79924245399059, 896.93267423844554, 897.1316945913776, 899.15975127461491, 900.12789653783511, 901.35779804158801, 901.49154090193429, 901.55046722466295, 901.60600270882753, 902.32720722246393, 902.44236381284043, 903.34169629762869, 903.37905197402085, 904.00460645898852, 904.08874678003247, 904.69306577655993, 905.12617213390479, 905.64225646095178, 905.74931850723863, 907.08354679166769, 907.66247776992066, 908.08237163670447, 909.93438256792604, 912.95583956516464, 913.15779287958276, 915.65810862070668, 916.2736486908716, 917.27855565470475, 918.42778622121864, 918.91291768287113, 919.19450159250619, 919.35038336932826, 919.38118682395691, 922.19571842559253, 926.69609820270273, 928.59891948512723, 928.66028905363351, 929.55998404847776, 929.77106006896497, 930.26811457277245, 930.44361080377485, 930.88100762518866, 931.61702211080808, 932.99214901042637, 934.55091532219808, 935.65831963163646, 937.25545581684207, 937.63117636911875, 939.89119971221896, 942.1643165908223, 944.96426634479576, 945.26000201288639, 946.24984845521919, 947.78743194941319, 948.77208313625613, 949.19465226334637, 950.08720768399553, 951.6286133093721, 952.43806823941645, 952.48351797291502, 954.27225819755006, 955.10842035537439, 955.34219909201715, 955.68967419877026, 956.7735529167503, 957.13116184755597, 957.82692392495915, 958.17920222291548, 960.18190790212702, 960.32044986646292, 960.51949673420006, 961.41078424055343, 962.47483814261204, 962.50942831899056, 962.60160667022262, 963.61616020533427, 964.19193787351287, 964.88371115908126, 966.52598235580638, 966.57413107616412, 966.66731140682873, 967.07254559359649, 967.11630604490063, 968.47225416522394, 970.86334877983882, 971.42688036515142, 973.17109092705243, 973.80539294236121, 974.30233535928005, 976.76333931203476, 978.57427104387045, 980.83386713645075, 984.08832900329571, 985.29619444925595, 985.89713816136077, 986.28237850674702, 986.42961135684766, 986.55584755106088, 987.22968038387057, 987.60445339988871, 988.42310133990873, 988.83458614940389, 989.0788881187957, 989.46163958652539, 990.17385916584908, 990.34999050287911, 992.65407889563824, 993.41350529325121, 994.57273555290999, 995.11568675167553, 995.38401820378795, 996.63287191882478, 997.03987619234704, 997.10551019356308, 999.89160922212591, 1000.6912927404769]),array([58.685495154625841, 58.738646569050871, 59.694452231678895, 61.496101829962349, 62.820828306747643, 62.98888098596359, 63.235814082169483, 63.585600642863412, 63.701310660619235, 64.521292036877824, 66.280720725946921, 67.59707952776742, 70.348517810808175, 72.652422619336562, 73.273061903483239, 73.901286797965042, 74.865811973959453, 75.568872838114046, 77.922765456148326, 78.991977354431341, 80.629047812797481, 80.831950684867067, 81.30694845887993, 82.963543767378184, 83.738885490338404, 83.992498568014071, 84.765100752563143, 85.10351982349772, 85.686542910078742, 87.40252652660962, 88.077600791765633, 89.080278435351374, 90.467370938530522, 90.536887974214508, 91.528482735686325, 92.441335722454042, 92.979329117023767, 94.352864221956693, 94.384834634966964, 96.428136709728591, 97.501500641953143, 99.861204609705922, 100.19177512018518, 100.47978268238296, 101.20915559150953, 101.7524466157289, 106.28244338428721, 106.52535938722872, 108.91575636626779, 109.47349119882355, 109.73453439584448, 109.86125869588406, 110.572920414576, 110.60071907686458, 113.12067474625759, 113.23070505574243, 113.94442420594366, 116.70322386726828, 117.67041517406334, 118.66574815621856, 120.96335732463903, 121.61558332088504, 122.4511606012387, 122.92121665187648, 123.16884681282481, 123.57061115867575, 123.71586624053866, 125.15075558433428, 126.88269817625037, 130.95074429803461, 131.33883464324663, 131.43252386266886, 132.17024368059066, 132.44663702473065, 133.26081216195212, 133.73546835344555, 134.8973716117608, 135.0776376917635, 135.24451254866938, 135.3469326206415, 136.38935750372863, 138.22965390823296, 139.4646715389654, 140.65311971515337, 140.89959264672353, 140.95924218518732, 141.20323319505087, 142.306821295003, 143.280160213123, 143.62621009191, 145.52529336182664, 147.79068083518507, 148.16071480244659, 149.90597673177584, 149.96390072370056, 153.75966863969316, 154.11871653340953, 154.5651846873825, 157.57332841731801, 159.73272367364189, 161.36768638649423, 161.60365617740382, 162.49595794090956, 163.88399255675287, 164.22603487548335, 164.78301419640491, 165.44488753219559, 166.22941057295415, 166.7192648835551, 166.80209222212781, 168.12392339340846, 171.56558784567613, 172.39121437208647, 173.2527191910593, 174.62029173410221, 174.84051772489025, 175.14128200395061, 175.85074243140272, 176.69299740915761, 176.79219211433099, 181.07441281192371, 181.53916803979718, 181.69657777006498, 182.12461396729748, 183.17512758636701, 184.02865022032933, 184.84960585687628, 186.5014274809873, 188.64253600708275, 191.27486964224138, 191.49890467798278, 191.87674932924187, 192.24860847583406, 193.93863093478936, 194.4903033529194, 198.68846727897412, 199.55949622485034, 199.77209844997085, 200.77868646059866, 202.02914588136593, 203.44988891959449, 204.54043076865858, 206.22163818486544, 206.94124618532803, 207.10675145244505, 208.44339691702208, 212.43383567803477, 217.38330103158793, 220.86621560288492, 222.88046282409709, 226.82427602426935, 228.64256565290825, 230.33996702479024, 230.38247292694899, 231.56157588995853, 231.97819808826631, 232.07075288035907, 232.16160346147808, 232.30379710180355, 233.30380979173904, 235.20630269947668, 235.37095983702946, 236.08639823949679, 236.26159445157256, 236.49158960190647, 236.7253487298795, 237.09576698996497, 239.37064115478566, 241.84863100557857, 242.44622897103255, 243.84355669541191, 243.89937025500157, 245.05541293449087, 246.15023557430294, 248.0873659584914, 248.38974431556844, 248.446272550157, 248.71528906870802, 249.37760655512162, 252.3266200332364, 252.88085084511022, 253.73250540275797, 255.40535818937295, 256.66606078620435, 257.0566569365489, 257.71406440351558, 257.73901235538119, 258.52417420960217, 258.94297478448885, 258.97326607891347, 259.6484547509404, 260.07877130311107, 260.20439166843425, 261.41127341641572, 261.43389827052408, 262.29600013088736, 264.79179432744513, 267.00377831173284, 267.23492811405237, 270.82373766429328, 271.03146821375344, 271.26617486961061, 272.99288020858205, 273.91926925492385, 275.86329433317604, 276.32471784684708, 276.61396628676061, 278.31876447329546, 279.17925809182071, 279.59198143371418, 279.86722874720624, 280.14507813649345, 280.88281733453408, 281.1557390131407, 281.21773391985926, 281.25189888191204, 282.52155033790086, 282.83644967482081, 283.23252699315685, 291.61545412145716, 294.01110455302421, 295.36403913517762, 296.2683490887722, 297.6661041442191, 297.84403267929491, 299.26727338773441, 299.89762111994463, 301.65386671621724, 307.99014318262471, 311.77839983080418, 312.51446264833766, 313.26169057892497, 313.44184678730704, 314.47308207243759, 315.00293591943648, 316.41589936129225, 316.57497424634261, 317.10710398893002, 318.56165782515382, 319.51776041008571, 321.9329353777386, 322.62600016445634, 325.87017391968419, 328.376859788442, 328.57975778683004, 329.36711579481124, 329.64176293042505, 330.01313392598934, 330.41418853753635, 334.36695966523064, 335.35748490768623, 336.84276057954906, 338.8279406888874, 339.39322031631809, 340.65961227230099, 341.97805835950339, 342.23895469523876, 343.90673461849912, 345.27532871489058, 346.67402632907061, 347.75991209888247, 349.25838374795558, 349.90991000289551, 350.298788073136, 350.86062094280038, 351.84733579877712, 352.64472297114662, 352.98549683580148, 353.7441398531995, 356.54973865069707, 356.75929821059231, 357.270920619305, 357.67396162185054, 358.00804083965124, 360.55549597567563, 364.16678153055943, 364.42464214254528, 364.87355974246464, 366.51805762713411, 367.93306207738345, 372.9178054936628, 373.66524700595374, 375.28761760620682, 376.50584871540366, 376.98061188975259, 377.67131173108891, 378.73190044553553, 379.54040816189905, 383.36275866280829, 384.12689629850735, 384.45742087879233, 389.96371409571515, 390.51956387547494, 392.30690905993396, 392.61502950683092, 393.1838495756781, 393.29156030373827, 395.02720386990376, 396.09932060436535, 398.15121294284927, 399.90436009328738, 401.78846765712467, 401.95759932120302, 402.88448167062325, 402.95953662092393, 403.29793386989923, 403.33763078809739, 407.62337432491461, 407.73059474932927, 407.79946394592969, 409.33960096000578, 410.20990154783868, 411.34694103193311, 412.16634855662988, 412.29717263788973, 412.34007114524184, 412.41968020517777, 412.88209660144867, 414.66929385542318, 414.86537022562254, 416.41749608772113, 416.65691561470504, 420.61047656188458, 422.04831309510712, 422.43399444762775, 422.53976536237508, 422.94535591892804, 424.75447164355671, 426.26748926089221, 426.84472322231051, 428.79604172663386, 429.82285119651607, 431.01849331325423, 431.56238589178099, 432.68763726005943, 433.43311435784733, 433.89884653324737, 434.28869877954679, 435.01247438521801, 435.10494072327936, 435.51869079047862, 436.13839928882641, 436.46989576937995, 437.06426376390334, 438.36037850189928, 440.35092198493129, 441.01380931913025, 442.40982083349382, 443.90216324066807, 444.63749193296673, 445.04661776810781, 447.5677380545003, 448.2971258642886, 448.80372590655463, 449.43104633881029, 449.47733640073824, 451.03280615018525, 453.00984653117405, 453.96340465052788, 458.09601132378748, 458.97995288488289, 459.19364703136586, 461.09266532602902, 461.78893322415348, 462.09291158215245, 462.6156654243909, 464.25830026308972, 465.14654127771189, 466.63978215359583, 468.19900403747425, 468.56263213998068, 469.13241117642235, 470.1146375448788, 470.57124494700844, 471.28779947272085, 471.30837210796153, 471.42132088636839, 472.12367131233299, 472.76661027388815, 473.64887523931429, 474.98739230803852, 475.13035629154285, 476.99417759025374, 478.72586126868237, 479.59820783188894, 480.64730262428185, 482.94996925811262, 486.04160000412026, 486.78582781505696, 487.06899319745992, 487.1219841082916, 487.9041454385449, 488.00850751013706, 490.50540064901685, 490.72096592849044, 493.6997417538563, 499.85749577677984, 500.97709540128852, 501.03980294795946, 503.59554737013559, 505.34714790154646, 505.64310051503168, 506.82949871648873, 507.46547345645376, 510.61331737578922, 513.55746367799065, 514.11535103490269, 514.46625781860666, 514.72694446652827, 515.02398616611003, 517.71866245408921, 517.92551118079666, 518.03500998693869, 519.52727890311951, 519.60989748546888, 520.25599865203776, 520.43104426009768, 520.49402711542234, 520.59994298652839, 521.0509012361706, 521.54891305453918, 521.78108044811961, 522.18807689567166, 524.38572631447926, 525.52137449204133, 526.01453587477079, 526.08674298518372, 527.43522960039434, 527.71012346328735, 528.34531228279309, 528.96702405535109, 529.07376436366167, 531.62552191314489, 532.10927859280014, 532.86439315596147, 535.20350931515691, 536.07804096320422, 537.29122889970927, 537.69919073386154, 539.0868640841162, 539.92489229674334, 540.8617360148844, 543.27532841653806, 543.60892617421064, 544.29634908212995, 544.65165727842748, 545.41047551738745, 546.60275670949204, 548.72307003818639, 548.82767697587246, 548.87087740398454, 549.16310262132674, 549.80850309639391, 550.72141983239499, 551.28950074623856, 552.06089133057753, 552.16541685833749, 552.53882254339283, 552.62097694004524, 554.91028544209496, 555.28346722887454, 556.1287206859115, 558.10714503508677, 558.28271069267919, 558.49849928299795, 559.13388743839823, 561.08312975009721, 563.13197630838249, 563.35769149387841, 564.28963838436937, 564.94439984826522, 567.21913469008405, 568.06466461901493, 568.1019889176539, 568.57775922938697, 569.39717878881993, 570.53652037249367, 572.08890122465925, 572.32378669739478, 572.62568621562832, 575.18228703842112, 575.87903400558218, 576.80208201617256, 580.68950881122669, 581.70399463994829, 583.71878692740938, 584.97444803772225, 586.70129772410769, 588.93938723228314, 588.96140566075212, 589.61801051840746, 589.80813652171173, 591.22798874559555, 593.28182952833015, 595.28226870229332, 597.22988003066337, 598.15607240536963, 598.54465706862561, 599.13489508493319, 600.75032509401922, 600.86032296397866, 601.09314028028359, 601.73886143190032, 601.86842782662745, 602.18862004185291, 602.90692066833685, 605.61309423162993, 607.48001284820452, 609.55435041911835, 609.86368163266025, 610.01347282906272, 610.88779476858554, 611.84133621108924, 613.09361251621192, 613.87594473877334, 615.34585114201207, 615.83324667941463, 617.63612981159997, 618.83115008790492, 619.0953127329368, 619.2305458704376, 619.70231545002821, 621.91773720149945, 621.94863211814027, 622.25411072645988, 623.15866502429856, 624.26889829697893, 624.82078486777698, 625.30267780566692, 625.50517355887735, 626.26496276402997, 626.29109977673477, 628.50304516020242, 633.07771994441691, 633.1966320885698, 634.04110804846096, 634.48235075782907, 635.20610412496592, 636.54744400369248, 640.62516186121377, 640.99421463314661, 641.05817550194024, 642.77545385871304, 644.95376531225884, 645.41566946631599, 645.71161735034912, 648.20716344495338, 648.37399415017046, 648.78572615566588, 649.23291988590722, 651.19325187101549, 651.97602377260137, 652.09170962127632, 652.8173709152768, 655.8916015528531, 656.64832813058786, 657.3785686326521, 657.5914642940163, 659.52216406857156, 660.31524200746242, 660.36034917793108, 660.76942582889501, 660.84528349299592, 661.23109989315208, 662.36575892854978, 663.06838018145697, 665.2583406007243, 665.33497589015928, 666.15073995472289, 666.55560703726826, 669.31106454954238, 669.74923116920411, 672.35260350531632, 673.59408373081271, 674.5937290486437, 675.45335108496374, 676.20716142727554, 676.6032329074892, 677.02066250288476, 682.77012870491069, 682.81919694938358, 685.35385067763298, 685.65860844708709, 686.85337539978718, 687.76508726128657, 688.32442563146651, 688.91894791308425, 688.98643406649921, 690.1126376620465, 690.27797481381162, 690.51459197865358, 690.71613876924073, 691.43058284653273, 693.30126369847653, 693.93840692924948, 694.09310144688754, 696.53103711637891, 696.7954382952114, 696.87515550976104, 697.063160726967, 699.20366017884419, 699.31873002324846, 700.02972477791297, 701.30512462752051, 701.41938334574684, 702.72885750792034, 703.29697693648393, 703.75621546181503, 704.64744212935648, 704.93698607520378, 705.08922442403627, 706.57808892522337, 710.87859395583143, 711.69166579948171, 712.86484167371873, 712.92878268107665, 717.00940407588064, 717.05270719293583, 718.10743746265996, 718.20361518078698, 719.97500810687279, 721.1155357330797, 721.88319223376334, 722.6678023875653, 723.85074208122296, 725.88444646303128, 726.31715345444934, 726.52094441552254, 727.05285113732305, 728.17882242644737, 728.62396668087899, 729.84749164626874, 730.60470869884387, 734.74859912986017, 737.44782429173711, 737.83493444796784, 739.43115663762308, 741.38788557052362, 742.77521051561303, 743.87179888394667, 744.80994228950885, 745.43503710311802, 746.24984179602575, 747.53853765338272, 748.08516133012745, 749.10588158644225, 752.44901916013043, 754.30479579568862, 757.20638153798552, 758.9949612498807, 759.33392264171346, 760.27156533688492, 761.8929265690839, 762.86149481909376, 763.16768164041775, 763.64631935517798, 764.0843394149889, 764.24081451676227, 766.38480835793416, 767.11895427810725, 767.55357484901845, 770.56488422218445, 771.6805004856293, 773.73499458006791, 774.24318085544701, 774.63708630050075, 775.45600380662324, 775.8767364875946, 776.53894598898376, 778.78892168074037, 779.15880958871185, 779.39544235857807, 779.47685722755091, 780.82931984460674, 781.88037100676706, 782.60187167700792, 783.06877874052282, 784.54184111253505, 784.59538549205354, 784.65759364334929, 785.13074198347795, 786.28959061577223, 786.34943101708711, 789.25496462379238, 789.3806389245218, 790.36741790166002, 792.53141901215088, 793.9583777054936, 796.07932364670148, 796.11005566600022, 799.10033812697554, 799.75736147710734, 802.58781196474843, 805.99390033988595, 806.44326124475197, 807.02308231980658, 807.64779788918918, 807.74440295416878, 808.35144980383416, 808.62316412465373, 809.08619495042069, 809.59834809388894, 809.93850442852715, 810.61390798516311, 812.40245787060098, 815.74119095275978, 816.23225977661252, 816.53507787920421, 818.55355837336674, 818.87529679727334, 821.69852696313535, 822.27250149733834, 827.55782144160469, 829.07646726443465, 830.21662259397976, 831.10679731363814, 832.28983118292672, 833.82516450832429, 833.95167981702514, 838.71272926973268, 838.89715912738075, 839.75826926354591, 840.10191612278481, 840.62311980365098, 842.94329985991124, 844.59533669528048, 845.05420826670388, 847.93971938674372, 849.36846220316943, 850.04684262412366, 850.7513421784829, 851.43817436451354, 851.47047545024327, 852.9943278245637, 855.02294113630751, 855.20569277637151, 855.95682215250667, 856.11969114372823, 856.36887333117443, 857.64759540544458, 858.34133728496352, 859.58835096075575, 859.97664195194818, 861.41331896284896, 862.16913144983346, 862.728283820201, 865.96213326333645, 867.17502848337438, 867.41059187454596, 869.45341662361807, 870.37267375133183, 870.67951468348292, 870.97887960423566, 871.01706748993831, 871.38039459217293, 874.92372608394669, 875.70517343220229, 875.98816135516483, 876.50745624671833, 877.10259411211644, 879.37641684797813, 880.29674748413368, 882.14839088953386, 882.476693323164, 883.11886773678975, 883.37175168264309, 885.39394288069082, 885.8045606867604, 885.97642481314131, 887.04399896530049, 887.1855383066993, 887.26201505779534, 887.43147315310932, 889.72977511611521, 891.08939708682476, 892.00252829335818, 893.16243507734191, 893.40000594894173, 893.94492873300999, 894.84060055392467, 895.53401541954815, 896.06207495378897, 897.70048589419537, 898.16944365750453, 898.80700189887148, 898.90431099770581, 900.01428806852357, 901.08073116540345, 901.38522031264586, 901.59658161684808, 901.83929928093937, 902.55360718951954, 902.7519454550727, 903.75314258040021, 905.86859708251905, 908.4001640984211, 909.07426369158009, 909.34258723809751, 911.68587379898395, 912.70396487061771, 912.91027085088558, 913.27145978288729, 913.34747343873846, 913.8376759583939, 914.2218090871462, 915.98032881740221, 916.19120001928547, 917.83884924254687, 918.0955595596962, 918.29878054744324, 919.27302640677647, 920.68576518398186, 922.03640437172487, 922.39805346627043, 922.94386969826235, 925.33075722294336, 925.58214448727585, 927.16348767303066, 928.27047555993238, 932.95389332560342, 933.89818138705709, 934.87126169742623, 935.17050419534132, 936.44127775887364, 938.17482370806908, 938.37749426929088, 938.63408856698072, 938.80656175962304, 938.87031404811751, 939.46984359585781, 942.76907490901579, 943.22854970138599, 944.51458342334308, 946.02208689590441, 946.1158960127575, 946.17445244035173, 946.75123548033491, 949.89817351112799, 951.1725323746623, 953.40752305718308, 953.53222090732038, 956.04824601436405, 956.22251996023886, 957.39378166724418, 958.52360540375912, 958.58512518048565, 958.6051605991895, 960.35944829276866, 960.77322793493056, 961.97317329521741, 963.92566336056677, 964.270411681935, 966.92808499388582, 966.97216795971246, 970.49564766852745, 971.50227356736377, 972.99774721700442, 973.38303607728687, 974.67217666421448, 974.74223891761142, 974.85660737633395, 975.31453282952884, 976.69872166916105, 977.33974875972024, 978.72170273372797, 981.93218752234213, 983.40733255222347, 983.61444348554551, 984.96859505080965, 987.33596504739739, 987.62849972990318, 989.7023732086584, 989.83062146276416, 990.07212775922494, 990.28862982760529, 990.41805502888155, 991.15589573794318, 991.21708740147585, 991.25285099192104, 992.23362543345763, 993.50309883597242, 996.66244526434832, 997.292498228667, 997.32981292059549, 998.20076665977547, 999.41459277615172, 1001.3759808573806]),array([51.997524458743094, 52.714255670087148, 52.818714545892654, 52.846672766914658, 53.267343647523674, 57.396416341609822, 58.033471848892518, 58.355196574896119, 61.98048833384702, 63.168852150219038, 63.43510306214268, 64.085085589968131, 66.065728705928208, 68.41906901382859, 69.501187253407693, 69.638248330094527, 70.905151448117124, 73.632539245943164, 73.967852678946869, 74.704183069565218, 75.594758188419505, 75.978877630329194, 76.549274407238173, 77.725907492216805, 77.76187766003801, 78.172196185286481, 78.991516485034694, 80.06577839173697, 80.929636163737911, 81.234859930407353, 84.286179410489893, 84.912141104608267, 87.742544788198714, 89.284474207519438, 89.631137658617007, 90.979370942745959, 93.406962776155311, 94.385240041145551, 97.062042380641856, 97.545700403890038, 97.88069250528504, 99.012943045875673, 99.793649572834241, 101.06849137740242, 102.3908798379983, 103.61221402749246, 105.31879057730316, 106.68725095221272, 106.91773908755053, 109.46543123521258, 111.2327221637444, 111.53235352235801, 114.07395811587736, 117.363491603508, 117.83093136285464, 118.43655393917027, 118.94815219808446, 119.41796899346062, 119.63897078799852, 121.008385658854, 121.66628899831896, 122.04148202851606, 122.08720573781616, 122.21761763336241, 123.50392165251489, 123.7495539956803, 124.00059082283366, 124.28081115720771, 126.3490768258833, 126.4835842538284, 127.68995836506139, 127.89864619679928, 128.0804489052689, 129.35468047882239, 129.55784040386092, 129.86431281911837, 134.65937472821764, 136.01352658177177, 136.79878449595191, 137.59327111120064, 138.53283099560363, 142.01974223731125, 147.65109397841402, 147.93628193426187, 148.66794445153513, 148.96246609208535, 149.66716865303394, 149.75834696054611, 150.22235748109406, 151.53051245823903, 153.11431177111342, 153.42577125346435, 153.61250509534946, 153.74354154831803, 153.8546623446033, 153.93679384531927, 154.50121471961856, 155.36048541623916, 155.82258244779268, 155.88865130572933, 155.9124964354194, 156.59028720131317, 157.07465250445435, 158.46534577947492, 161.77729672712093, 162.64591718968376, 163.82220821263874, 164.10385724319818, 164.15784500381903, 164.38502656669593, 165.11980857005372, 165.38939796927997, 166.24538457336826, 166.94167831610727, 167.1464429158988, 167.24841342074686, 168.41740931980186, 168.76325188351032, 171.31757243607544, 171.5266530774982, 173.45674363298633, 173.71591351283732, 174.91905283972085, 175.61720804152435, 178.31818089435018, 179.43994544857489, 181.02009650061547, 181.38718614175099, 181.68957951838536, 182.06897315376173, 182.14494813079293, 186.71564034169137, 188.39169295781906, 190.02059082641395, 190.07673023539405, 190.72974246428819, 194.77999712614451, 195.67873312764891, 196.77020128809025, 197.08933260184409, 199.14918377334445, 199.61571689174858, 200.2526003433926, 200.71342459847037, 200.98758723736583, 201.8727604033746, 202.17853341054143, 202.6376179854515, 204.21738604520809, 204.9772360212132, 206.47484865281339, 207.81318436682446, 211.99456239313307, 214.05378104851081, 214.98194443836627, 215.04610402059521, 215.84930230864899, 216.78190016074859, 217.58257046798701, 217.78714764152673, 222.75103357343104, 226.10914178383291, 227.26063606376792, 227.33490253324564, 227.56902582134995, 228.35138732284, 228.63011806674132, 229.18989243994923, 230.15265835937333, 230.7746280250316, 231.74427682106207, 232.00568084062994, 232.21915902896166, 232.62583595500806, 233.76036748885383, 234.30049116989591, 238.12282536581793, 240.05810825696534, 240.54054005690659, 243.38595647728636, 245.14361985835444, 245.67618473136565, 246.27468512963404, 246.30016399856018, 246.84100439080893, 247.85138647518619, 248.5500397123686, 248.76771818536506, 249.08195880438225, 249.58150523594759, 251.4533473879568, 252.60180885295875, 252.75820554764724, 254.96368333792492, 257.87123038512055, 258.11625142407712, 258.59670063711081, 258.97864970480686, 259.12937523433339, 259.39044699745392, 260.88278548154614, 261.934476932704, 263.5576328425974, 263.72128514594385, 263.96177977272822, 265.42979880311299, 265.48271005985578, 265.59231795090392, 266.18193482999425, 267.72688751179101, 267.90927774491536, 268.19735366945088, 269.08009346422875, 269.76996914150516, 270.96202417513899, 272.16495330949095, 276.37080662134645, 276.89711295748106, 278.28560272827673, 278.5979589342129, 279.37882890007967, 281.16425478579089, 281.57131214855963, 282.36728607079704, 283.71753087464793, 283.80690164097803, 284.04508752107722, 284.0902965479039, 284.49229829719417, 285.44679756343646, 287.14449086759686, 287.48418320607243, 287.67024047647362, 288.0217007334158, 288.371375352879, 289.30237944850597, 290.29467219115998, 290.32829757532346, 291.90946398091756, 292.71436180792023, 293.55424492265911, 295.63458867618056, 296.39880679478097, 296.58599640980992, 297.00416041219773, 297.16930364868864, 297.89162260344455, 298.23178802533175, 299.37380070015428, 301.10526379135268, 302.56157114736027, 302.83535572700083, 303.81194076047728, 304.58006560596914, 305.27311206314806, 308.14927997103308, 310.43920965449144, 312.17797662494928, 313.81753812015813, 313.99750772689225, 315.78601699014911, 316.43879681170205, 317.15854796216547, 318.30269086893537, 318.86177130420492, 318.93310661623076, 320.65730164431591, 321.77497031956767, 322.22140646305041, 324.48028785564401, 324.58391428920152, 324.72537521028835, 325.01241205524366, 325.65689272095699, 325.79026537031586, 326.25425007431198, 327.06074945083378, 329.06487926065876, 329.77184770070716, 329.85090822522181, 329.96163083641477, 331.82420731984513, 332.79255782647601, 333.32862508216186, 333.45180773710439, 334.85359048711194, 336.23403613633332, 336.72178691230795, 339.9172991093925, 340.06937848364544, 341.01010525533377, 343.470133937708, 343.96780870578056, 344.70022217147721, 345.87295100404498, 346.02895336832273, 346.26308594367941, 346.81326311670688, 346.89269510992614, 349.64102917172539, 350.93232477246454, 351.30260361386172, 354.67509077274275, 357.01049383544301, 357.21293743757394, 357.3372512267718, 358.89758476493148, 361.00415887482677, 365.10650899870956, 365.54749874502403, 365.71270464393717, 365.80836453632907, 366.76862481737521, 366.93906884089523, 367.10157435110449, 369.33876489782369, 370.80083704206481, 370.98075593465012, 371.02833826117256, 372.12257298835817, 372.95204405154107, 374.89731412558893, 376.7412480935638, 376.97057994894493, 380.1348058275949, 380.87610928824739, 381.19753882152509, 382.01405083621063, 383.20741260464069, 386.14234728725387, 386.45587030317205, 386.66022038688709, 388.662562142171, 389.96139306747733, 390.22696882707174, 394.95870177358512, 396.4843800888454, 398.47325243096657, 398.75805929358989, 404.01614806168863, 406.44172378572603, 408.69335565369136, 411.79156470919588, 412.10569351112611, 412.77359911691417, 413.19672283137999, 413.57732371419178, 413.69988065436803, 414.67937267839267, 415.09596167422075, 416.02306046398417, 416.04309378595315, 417.24084894661218, 418.64632972038277, 419.21644412963968, 419.87049696225222, 419.97493425176503, 420.66910747440892, 423.24490888739217, 423.38012826926143, 425.79888121205045, 426.93316714695237, 429.1827457810781, 431.04190332108692, 432.61591039979288, 433.8941677474366, 434.02948133701057, 435.12884196882715, 435.78236694420139, 437.99069370412161, 438.51453539808381, 439.01071075357123, 439.17089991958841, 440.64729408538381, 442.47790670730689, 444.78775838049609, 445.97899020739862, 446.28743635463064, 449.05751676882909, 450.82646287331625, 450.88264803814332, 451.79572235804142, 452.16024456452146, 453.66776730016124, 454.06328202934742, 455.52456774769325, 456.62456049469563, 457.87751898126044, 459.70957539459891, 460.11456239266954, 461.79113028502638, 462.85492324531697, 463.51040292923079, 467.21024227124605, 468.80138294364497, 470.09433609158145, 470.44078812487936, 470.78936331071174, 471.68740773117071, 474.02294034219506, 474.66038247928321, 476.20817259393988, 476.3706688592867, 477.27645068990643, 477.3531627691624, 478.17952120466884, 479.55675804327637, 479.62335209872401, 479.78684922996422, 480.55713754578642, 482.48660284217931, 482.78450928054116, 483.0484225049741, 483.14302992236122, 484.93562548069644, 486.24144036450673, 486.71918250392201, 487.30408019254639, 487.3306315550621, 488.09442566217996, 491.94023661571811, 494.28096009197026, 496.50538589266478, 497.3232151344792, 497.61139887950276, 498.83752220916199, 500.40707683854401, 502.2861115395886, 503.19381574938251, 503.54316546415777, 505.10580848134356, 505.39254396216728, 505.69652726312006, 508.44225898127195, 508.99170007415944, 511.21719819759477, 512.27238065796655, 513.26129046374695, 514.5636500342772, 515.44130684472179, 517.52815992594867, 518.16402658218828, 518.96116294077399, 519.11386119186773, 519.34558125552394, 519.63427207376651, 519.80097962206867, 520.36451449259994, 522.08584783956849, 525.4325092063649, 526.64204388545352, 528.10536221331495, 529.28527220356614, 529.77489183459681, 530.79618218660789, 532.00583401066478, 533.44853460660079, 533.82252744724337, 534.26894057792606, 535.0291233655754, 537.12969035141145, 539.40200070495519, 540.46150501953184, 541.87586752670416, 542.80721970085642, 543.43429592754649, 543.77211629408862, 544.28371054568049, 544.97982990824755, 545.91630118029184, 546.16238615701377, 547.60122233749701, 547.95005671472529, 548.35725863698076, 548.85891468246405, 549.61595738221922, 549.71671758825119, 549.89817388687015, 550.73481278496763, 551.83273527528684, 551.88531315789055, 552.90047727630747, 553.86172353511722, 555.33338994156736, 555.87159811289837, 556.66656041486885, 557.17924417445704, 557.62138070211461, 558.07065796787424, 558.39926841250644, 559.71732035569369, 560.15773626470013, 562.72876564225953, 562.79411376648875, 564.17327775012984, 565.05719529611179, 565.10640492962921, 565.55577379676208, 566.21631424578982, 566.30210663142157, 567.04060217168296, 567.95210598122958, 573.21892608112398, 574.618551204185, 575.44692923351943, 575.96475436708931, 577.60909522559723, 578.22720943620766, 580.77177261728866, 581.64614430785673, 581.7180923877828, 581.81578838952407, 582.54541193647526, 584.99986899282794, 585.29174807670722, 586.20498017550995, 587.27178841155933, 587.44554544284154, 588.10813825040248, 588.56516480487664, 588.65090740327685, 588.815198023888, 589.07886055340271, 589.37038551663625, 589.49034340614548, 589.54813309511258, 594.39026481680492, 594.81909925791797, 595.12783791877848, 595.1973155457747, 597.96922440167941, 599.11276863558055, 600.26199489858357, 600.9631258576793, 601.36984028530685, 601.48380475044155, 602.8981534019091, 602.9556345588768, 603.63738175677008, 604.05062446876093, 604.60745490851582, 604.98820656404257, 608.90475516768436, 612.64097608174518, 613.57743529016568, 614.08045043133495, 614.20326271812064, 616.68207185321035, 617.39831600750472, 617.84339594361813, 618.56915002046856, 618.89981200977149, 619.17596701477703, 619.24217256013833, 620.0847141601065, 620.27218385227343, 621.13448854674436, 621.72012654621381, 625.18981741672872, 625.29376325650117, 625.63903662901953, 629.16968232983049, 630.65430187824211, 632.3136816476657, 632.33971979038506, 634.10443660998897, 634.30959668529317, 634.74259532463429, 637.407938062433, 637.95827624804576, 638.60703516626472, 639.4045602646255, 639.88611987977492, 640.90115666328734, 646.2750522433779, 646.79867383280259, 648.8321769194705, 650.11553073761741, 654.67218625004523, 656.09551773166049, 657.73324862906168, 658.81176159741358, 663.39945908527852, 665.06889189727997, 666.04024541141257, 667.1839655599457, 667.55074386687397, 667.71657822269083, 671.49919066895461, 672.0016279915435, 672.8029605206159, 675.64248689054114, 679.64239088558509, 679.81343706780206, 680.81760034673937, 683.28749674384267, 684.2617129048017, 685.13349758897334, 685.3531426863766, 685.81321678842346, 685.95889256011503, 686.45063200815889, 688.70495975482049, 689.31803791931759, 690.53036246675799, 691.3334633179029, 692.05812995510109, 692.34973763995993, 692.53782004591881, 693.3696654433586, 694.91025126530349, 695.10036260762354, 695.44895074872682, 696.39347080955577, 697.57334740739952, 699.12153088478829, 700.88602214274226, 701.29678334309381, 701.38054698411725, 702.68013849085128, 702.73834856341648, 704.69138850798277, 705.23929987973452, 705.556696427931, 706.57195231831292, 707.64650193297291, 708.77410746228156, 709.96875616535442, 710.77976967883626, 711.14720492583967, 711.17229521344723, 711.66453508767199, 712.75421035389809, 713.01590545381362, 713.73747742728494, 713.99657509386429, 714.93351761622444, 715.60597635914507, 715.80794310423028, 716.79000491463012, 718.83786036298932, 719.12911819762439, 719.23109039047336, 721.31793427953562, 721.90678615809088, 723.15190991277734, 723.67754290012283, 723.91245840400188, 724.51747155741509, 724.88323104509391, 726.03269163186144, 728.24170994842268, 729.04049066182267, 729.50620281419776, 729.94090390425413, 730.84553270738672, 731.19120261071293, 731.34346916832374, 731.5485711267437, 732.20224467028527, 733.53777221248231, 735.86692559656842, 736.59602743315895, 736.91847105499608, 737.97105736184278, 738.6276656509616, 741.33983682851579, 741.65766516516385, 743.81727111204225, 744.3551980471284, 744.43437430404413, 744.67078002638834, 745.49037311465167, 747.255251477363, 747.55875152753731, 747.85741942608922, 748.18325915814967, 748.35275671121292, 751.88045729234705, 752.26524234319788, 752.42860259962958, 753.69911408476105, 753.85501881586106, 754.65668691923429, 757.36268118579119, 760.85306752119686, 761.39118558667849, 761.48119654424977, 761.90016432215964, 762.6349683681284, 764.00839745379449, 764.06951201740321, 764.1358464477521, 765.42074218385926, 766.4578534852551, 767.08690610506301, 767.70344395007555, 768.41921212987324, 770.25543570575019, 771.07131962903122, 771.45031491584973, 772.48488309904133, 773.92383874161851, 774.57542477976017, 775.43595016674954, 775.64941286034775, 776.02946554530297, 776.65030074827928, 777.40412550417648, 779.75097055104402, 781.51009307501715, 782.09691452972515, 782.82258122423025, 784.76524073762391, 786.08331917456746, 786.42353719147036, 786.82249801853595, 788.86251613074376, 789.17702555422284, 789.81798158176525, 789.87189506148934, 790.24005418029788, 792.57237959788495, 792.6369997423277, 794.38062477107997, 794.43875616074081, 797.40867379683982, 797.87381726423075, 799.53011864000314, 800.74418710181988, 802.75871109297771, 803.48717424617041, 803.76387332190995, 805.18492058990046, 805.74194744121178, 805.86196600799178, 807.01479914398192, 807.57438976627691, 807.6016896882486, 807.92715440148231, 808.17760721890409, 808.69739003694963, 809.05353098994408, 812.16375752042075, 813.24727328453412, 813.38490724796566, 819.28962636132565, 820.03214807320637, 821.98740015080728, 823.80777270279316, 824.54753046436429, 825.69636732265906, 825.79905817271413, 825.83268805025034, 826.48948325748916, 826.88238919549235, 828.182373194354, 828.72006885070152, 828.87586302430998, 828.983238647127, 829.15364318939487, 829.45131151833368, 830.11773032757628, 830.89967859932062, 831.01010839659114, 831.31256342029667, 831.92098547407136, 832.26989698392401, 832.83913423426804, 834.36447284180497, 834.54578796891326, 834.90466577678671, 835.14435362365862, 835.86901075413232, 836.03409290029253, 838.1410776091891, 838.92341146482272, 839.98808863676823, 841.24034294684861, 842.12001944558813, 842.92727264080759, 843.94098114978203, 844.8484665743681, 845.62822650042767, 846.65086529078167, 848.06722627311353, 848.7860707935497, 849.48372588732252, 849.76927990666684, 850.83523108128054, 850.98603223459952, 851.31298028150707, 852.36372064670218, 852.54386915744681, 853.14249536251248, 853.78122676382293, 854.52143975135732, 854.77528997553566, 855.91115575605943, 856.65807074767622, 857.95135968921682, 858.66187817218474, 859.44273041736994, 859.74374348081767, 860.68187987481906, 864.46635057220897, 864.83440665682929, 865.33868498430161, 866.6242303126777, 867.58161355357186, 867.82913265243974, 868.1283668492764, 869.40690707012698, 871.58803881396148, 873.93438110570594, 874.88792172444698, 876.21157508150475, 877.4791914559496, 877.89490375901096, 879.35430085560336, 879.86637971184962, 880.22285686789883, 880.73149945071668, 881.17830576498591, 881.41035288120531, 881.96713152191944, 883.99228547773578, 884.48776857405915, 885.41442628905327, 888.79999807414242, 889.65351866030289, 889.74076172099547, 891.29436179116749, 894.08168345271361, 894.121547839252, 894.70872064085734, 895.65450683515496, 895.94842214341213, 896.72761077075177, 896.75481121949201, 896.82670322003844, 897.2163785278791, 897.45046557822627, 897.5837638470714, 898.63383294322341, 901.7412563406474, 902.05039442476345, 902.5965851346316, 903.73309332836766, 904.60404118956205, 905.23776896801985, 905.47725537296753, 906.77549104291961, 906.98330644304201, 907.26761087775333, 907.58050380907207, 908.65844701096705, 910.78991381554067, 911.79286644895444, 912.20623029630656, 912.62083072283258, 912.98632765929017, 913.00670512998033, 913.16755647873072, 913.45775623626389, 915.40513388424085, 916.1639840071266, 917.00553407760776, 918.08844111337601, 920.37838797406118, 923.09434031578246, 924.32492895992948, 926.11205248238014, 926.29305947342539, 927.44540569450862, 927.59990521922009, 929.03597332596144, 929.48370072607588, 930.03047343508365, 930.08591920592107, 930.40600943409675, 933.05130886904158, 933.47281031740204, 934.27176103197337, 934.67027030917461, 934.87594549660844, 936.05703154950504, 936.67270607612204, 938.53575046341757, 938.90128371513458, 939.21189832591688, 942.92880550825521, 943.88324756201371, 944.00782351780231, 944.73093477306895, 945.38981628552585, 945.6175536747005, 946.88108550484833, 948.03651902750596, 948.84728425855269, 949.52318335454379, 950.22259823714865, 950.9214272693705, 951.19483752152223, 951.86933494394634, 952.31142387812088, 952.56604405394273, 952.65853767471526, 953.17156328163787, 955.9257663986341, 957.22844084679173, 957.70114804246452, 958.60908968146293, 959.23792388733716, 959.4167258707472, 961.85276185401733, 962.67519625144405, 962.74164114067423, 962.77086632338569, 964.68038051544102, 967.2511730900751, 971.39657687236559, 971.87167587085287, 972.90300895744258, 974.14360634981028, 976.1373028219881, 977.45886083040966, 977.57935237563584, 977.79222805400082, 978.45356044205096, 979.59304570482095, 979.85649343029684, 982.32596897084295, 982.72550744457101, 983.2059187309336, 984.60246041405685, 985.4093482152922, 987.41518123298238, 988.57763619113962, 989.01316815185703, 989.15432244306885, 990.62390012525668, 990.85375512502947, 990.99323285233254, 991.57311137007127, 992.61304136142815, 993.17589225622316, 993.25524415962252, 993.81226801587957, 994.94658440477974, 996.00421901223422, 996.04537938107683, 996.21027230853758, 996.28538613691762, 996.50156143433242, 996.6342496478926, 998.16705602788045, 998.58462377269871, 998.64141257828521, 999.89248780099024, 1002.2007040605909]),array([81.043528356713551, 83.382691327314333, 84.633515358229104, 85.322007475218356, 86.982396517056188, 88.420937426248216, 90.348152245280446, 91.076642801154094, 91.157147887076775, 91.865025674428708, 93.679483207596491, 94.057796509070172, 94.303629291431079, 99.655846744238602, 102.51012550696952, 103.23194683032412, 104.24818293498116, 105.12493745789688, 105.17923628913134, 106.44724580664401, 106.53047396739395, 107.32045439580608, 107.37830881866689, 108.16614271063801, 111.52931051587692, 111.93331843547155, 112.08000514689648, 113.26253255816249, 114.22407152467092, 115.16854522586402, 116.36932727711208, 118.93668411638959, 121.97021948295065, 122.01615456342901, 122.99040170842659, 129.55240903649172, 130.88974621472798, 130.96262578187745, 132.24105851851701, 132.52878348440444, 133.14484821583252, 134.09381852817734, 135.33552024843982, 136.20822599351484, 137.27502709455078, 139.06498594626444, 140.87838441477518, 141.37132586907262, 142.05395478647964, 142.13414717509852, 145.73387173931005, 146.16812807646929, 149.00535272297216, 149.96041609736974, 150.62342841367104, 151.00082479463532, 151.40961493940543, 152.21614010801619, 153.3837907586732, 153.42763620382368, 153.91937353350062, 154.31183307406161, 154.41661738562541, 154.60287933644452, 155.29040646678274, 158.4429468881244, 159.27491205881779, 159.84198305191239, 159.88461554468904, 160.76603005411505, 160.79870177739528, 161.21880774893992, 162.19829734607879, 164.95399821437732, 165.01001084294006, 165.28041782386759, 168.59448718573154, 168.63217596950909, 169.35097416187236, 169.78341033438235, 169.94126990094915, 171.04264048624151, 173.2738844531541, 173.95634489821771, 174.3899899882806, 174.7114272745159, 175.04954285243139, 177.78032114637338, 177.97071071143779, 178.27762916184372, 179.38602368682254, 179.72290277859378, 180.23679200606276, 180.60380985076739, 180.70448178834462, 181.23684098774748, 182.48178107396629, 182.86289388522661, 183.18312033524811, 183.69571695392736, 184.82054793952616, 186.45517475975191, 186.84314615028839, 189.66237727099869, 190.57876566246284, 192.34109463236638, 195.32207030277451, 195.70458092057203, 196.18485287680869, 196.80690310964104, 200.49547371076028, 201.4442892235067, 202.0445320901751, 202.38637557030171, 209.26660335932243, 209.59218965931467, 209.91531700790435, 210.28977963497613, 210.84309726015741, 211.0656644396085, 211.18915386814197, 211.31331051180416, 211.48883951213722, 211.84572839515005, 212.02727677558516, 213.29824568467635, 213.62022377715894, 214.71856264254063, 214.77699735472558, 215.50909311877069, 216.18348852748352, 217.81890543635811, 219.60021455168135, 221.80978125081378, 222.30445273581967, 224.6298552518785, 225.73358134208746, 228.10391059594266, 228.39298750424166, 229.73822647703989, 233.34309749412893, 233.67041284933256, 234.20694978883421, 234.73258233007354, 237.92999717417527, 239.62012766196727, 240.45169259598342, 240.82209359744564, 242.91367352012875, 246.10449085987099, 246.18741104723765, 247.11510961770932, 247.44666973396269, 247.64737634821748, 248.4517685630714, 251.37074750901746, 252.93136716900551, 256.36723872847011, 257.75647579970234, 257.98871288307356, 258.85626616344547, 261.3292537530254, 262.36247196494423, 264.7926077568892, 265.27314028762538, 266.74158765106694, 268.58617435922008, 269.23185957368935, 269.93159995299641, 271.11070936827156, 272.87079368623318, 273.5189641067106, 273.86709272249652, 274.33498619064375, 276.17071076549365, 277.53004391288522, 278.5450354698458, 279.88916139840165, 282.05302656520252, 283.84428570792795, 286.72576682152669, 287.61997688115258, 289.39826137061402, 289.67241726167276, 290.51580844996869, 290.57877946191309, 294.1320798429843, 294.22549396048038, 294.60302209423196, 294.63824222421573, 295.52182688730562, 297.76699806116972, 299.09707397366304, 299.23278783017946, 301.76460768558934, 302.17092888023626, 307.70462177037314, 308.37830922798588, 310.91511647823518, 310.93945190909926, 311.55725971191583, 311.59143887626237, 313.47830922018807, 313.64829197354408, 315.12660617321978, 315.56340096752507, 316.08473358000867, 316.69382687970932, 317.42539913738852, 318.11913290667786, 319.28035934089775, 319.88233092278455, 319.96999062149206, 322.61005756652537, 323.83518007443183, 325.38840566958328, 326.06841210628062, 327.29070492978468, 328.91614763897655, 330.45289826260495, 330.5698831029394, 330.6407211780562, 330.70794009865313, 330.79984814045656, 332.88928082912213, 334.50675631819837, 336.51743876260764, 336.93921924579689, 337.47351912610526, 337.70657204117998, 338.9279369064119, 340.28669662582246, 340.53877251827038, 341.29324768786256, 342.70213833568505, 343.04427232493947, 343.59218989321533, 344.1016621274361, 344.28036706581594, 345.33299710440485, 348.4263723908042, 348.97056164732481, 350.11647017762948, 352.04031439702953, 353.61007988703454, 354.19114619439858, 358.38485738952465, 358.63348571303334, 359.97008585444343, 361.02939390105638, 361.81499105823042, 362.30968013679325, 365.38636039504604, 366.74827557682778, 368.18760745795686, 369.14008307051506, 371.7619987168776, 372.83234897426377, 373.78617617685245, 374.42309013550579, 374.98649570872044, 375.51203725385307, 376.28690639753114, 378.85853271923651, 378.97893384834481, 379.90810961431094, 380.4620043362508, 383.21079418173656, 384.63732365466478, 385.36422129255146, 385.98573765297061, 387.20703940776411, 387.30638819794586, 388.67785148320604, 389.75227001116878, 392.19274806988886, 393.89455185953778, 394.12892143059446, 394.17984217021399, 394.26747456575822, 395.15408023695863, 395.51979429760922, 395.76823125880662, 395.89123646318171, 397.42526648097208, 398.33399605482197, 400.3661927656014, 405.64170878667773, 406.77552988234527, 410.24325734683367, 410.34833676933346, 411.7560845194588, 412.68152433997597, 413.13650756966035, 414.45488549763991, 414.63160249592744, 416.29989158963957, 422.64302926317794, 423.15271665485125, 423.61562835354522, 424.40728130961355, 425.26989736845735, 425.79407857203006, 426.27781309970112, 426.488716503295, 427.5053066983906, 427.55875355618394, 430.2602048836813, 432.00387293251032, 432.29009337504402, 434.19185794200143, 434.70633667590806, 435.03971110325034, 435.76598151599586, 436.65157109569623, 439.06274784199627, 439.64532923596852, 440.86179361747708, 441.63648134533952, 442.62268510231371, 444.05670859727644, 444.26312578821802, 445.4497475318019, 445.90237219219972, 446.28576271259726, 446.50516572520661, 448.18084456095926, 448.29689866898315, 450.06278609801876, 451.33033154976363, 451.65748946935611, 451.88379112597954, 454.38887191583262, 454.73072586967334, 455.67901874113227, 456.70186731340988, 456.74688784457561, 457.10454474338627, 457.66278099254589, 457.8365235142266, 458.16974351229305, 461.17390176872959, 461.47314667207075, 461.63861590184803, 462.13546393883917, 463.39256562880257, 464.47965917229141, 465.80698894219273, 466.31094222659578, 467.20306311137284, 468.39141088093061, 470.73859596337206, 471.0506510723564, 471.71689136957133, 473.55164912535133, 475.04484911586712, 475.57489681954848, 475.93368228181959, 477.18888957278944, 479.10511928247314, 480.4906467390918, 482.3004416439997, 482.88128134602363, 483.01778076099959, 485.05354391796681, 485.08938516255438, 486.04874483116316, 488.25207826870724, 488.4917426534879, 489.82526832981648, 491.11754863719921, 491.50081915816986, 492.94678895670796, 494.14491663513905, 494.47038010245416, 495.43723705723528, 495.47051706579998, 495.56442993277761, 495.84992845219102, 495.92072938260145, 496.84326038443237, 500.04918407098148, 502.20325781861948, 502.69415067029269, 503.56679650438986, 504.9800073923609, 505.90199038829195, 506.15911162454364, 509.76017678670951, 510.13128264549113, 511.5661772356321, 511.7211203566892, 512.38630395935718, 512.94630096237324, 516.46351011816353, 517.66331573177331, 517.76062241613477, 519.07143246729822, 519.36756844384831, 520.16001636120654, 521.1164934514311, 521.52703823568413, 522.48073646452349, 522.60644321788823, 523.16742697397058, 523.20786998310803, 523.74468659480317, 524.6351358126492, 525.02388638025218, 525.25488686613414, 525.5074188433631, 526.36338382167594, 526.81951344063509, 527.25330723596312, 527.40295961084746, 528.32050309002409, 528.87559424023675, 530.60390898873459, 531.70668503606692, 532.23189207858297, 532.62589917308173, 533.72434067615859, 536.45958575993973, 537.08115655558197, 540.51826653509249, 541.46461647038132, 542.80125875597628, 543.16000304938177, 543.44936728376967, 544.2209154388288, 544.39979043918709, 544.66659921382245, 545.10430299364987, 545.50898773115671, 545.69614801421721, 547.54587706220127, 553.10568007962365, 553.31089282092364, 555.17931251061668, 556.92793981311172, 557.20513926382284, 557.55775658176231, 557.71224771020547, 558.53796874805516, 559.38422977222388, 559.99039087526887, 560.72632697333097, 562.03960026934612, 562.64612997568213, 564.66981866906417, 565.77769758311752, 565.87883866034258, 567.05206537106005, 568.53361245585063, 570.12494696190925, 570.72349928213714, 571.3245928254097, 571.47998890860617, 571.5702408411039, 577.24654110670133, 578.59241323832555, 580.31794373805349, 580.66828791566252, 581.93632975819617, 582.22006832944123, 583.32288713337027, 584.17292405524881, 585.33610209850281, 585.95812641223336, 587.22359971419337, 587.98576057272749, 588.6201101186266, 590.92912001641207, 593.68197247181888, 595.99409338351745, 596.71641504439958, 597.39365671242103, 598.94028855310239, 599.45999452159992, 600.17753813426293, 600.29193588868338, 600.45753154857118, 605.28424956692879, 605.96457911506081, 607.01691073468203, 608.61493618848931, 609.66132599631828, 611.96141001069043, 612.00249820224371, 612.80400813812923, 613.18655237509108, 613.9857023854405, 615.37688489078823, 615.86401130401327, 617.66909335760704, 618.49592181990795, 618.63148528463364, 619.06676216646497, 619.32716618863276, 619.7956881917703, 619.91732075632115, 619.94296122112485, 620.2344578507259, 620.39817135458702, 621.64048325444276, 622.03125921453625, 623.85238851467602, 624.86085448428253, 625.31576461057193, 625.4361350926572, 626.60363055535038, 627.19324857897288, 627.90157306699882, 628.23038830744815, 630.83130612818218, 631.95282546064732, 632.50872346381868, 633.86173163871376, 637.30752562666828, 639.36975879571764, 639.71330780115602, 640.22386654683328, 640.34948346641693, 641.3390601134405, 645.68985259030126, 645.83290483880739, 646.62159282013977, 647.82152867097352, 648.22055177371863, 648.63591227504639, 649.31815745337099, 649.48718762777185, 649.80210173286753, 650.20666488180507, 650.25234427818589, 651.30779186179564, 653.38686271246831, 653.75721777457511, 654.1492601022486, 655.06200064135919, 655.12733416810818, 655.41398395277986, 656.4699338245772, 657.17424316375877, 658.17199602204062, 659.08156798040136, 659.34500264124779, 659.81900443054849, 661.29951136384307, 661.51005778710987, 661.56986778225655, 661.8027527251196, 663.03900759197631, 663.28793466018431, 666.32624534872286, 667.08123431763727, 668.28068314896609, 669.62737526495005, 669.76575838208635, 670.23329693799178, 670.81691739074233, 672.15589208226515, 673.6937774011036, 674.38553936331164, 674.80650457767558, 675.31097358483282, 675.73440213654146, 676.05864455397841, 676.22853125437575, 677.6718777198106, 678.46835063934236, 680.76798253116704, 682.27082760533438, 682.4655559425122, 685.05801641535754, 685.1273136944327, 685.7522388873291, 687.40538820010659, 688.47186104535911, 689.2957578028653, 689.55387912955223, 690.17645752695751, 692.36418037441899, 692.38567557099691, 693.79998379130711, 695.64001093848356, 696.27988328790593, 698.11419087342892, 698.25286750724558, 698.32848606181824, 699.05849538797941, 699.10419134824758, 699.2470235693736, 699.35899538460535, 701.41435417517187, 702.98662235844813, 704.29441277287685, 707.36468308754638, 708.26763198377841, 711.5135091396603, 711.99145685620624, 714.67294066249201, 715.15174580833047, 715.39739188296869, 715.65605260127199, 715.81839219573658, 716.11429008741186, 716.97867646901398, 717.25181095692119, 718.27820315898509, 718.56387968186709, 718.82714199042778, 720.24517997791486, 720.35032674047375, 721.95068044922516, 722.05078817319497, 722.49066182359195, 725.87621855591146, 725.93496230347625, 726.88845070934406, 727.59694344990532, 729.09540726702551, 730.64334154990001, 731.5497881555882, 733.57285400392198, 733.70045518368033, 734.12592731823031, 734.21738027412937, 736.27712970712275, 736.5167896255673, 736.88145107440062, 737.8333329389751, 739.47670268205161, 740.22116273011829, 740.70325479318626, 741.24657529891283, 741.40018878042281, 742.68614286780542, 744.2286803662488, 744.44827767446043, 744.53167677401825, 745.34850619380393, 745.90163445294536, 746.25459952680694, 747.11775255137923, 747.65893833048017, 748.59588587482892, 748.71728566185357, 750.27840296896011, 750.55999510085894, 751.35237094900731, 753.39581988142481, 753.55408539890391, 753.62123040962945, 756.40216109425387, 757.83087152049893, 760.80501186759795, 761.11680047638026, 761.71738572622178, 761.94914410184822, 762.57126766673548, 764.2716001979253, 765.89330883987247, 766.30462903437137, 767.22535050634497, 767.76078423010222, 768.95295122523021, 769.41697240122801, 771.22045506095185, 772.65812290945428, 773.96228085086045, 774.13511280599937, 774.90148748585455, 777.34572092141104, 783.62644267956966, 783.88103631170964, 785.76689949918477, 787.70294304834977, 788.63238300784815, 790.25622892540878, 790.42413675930504, 790.8003331539569, 791.42228397747704, 792.31680032228087, 793.07923941432352, 794.11086853029281, 794.41917367465078, 795.67995747702423, 795.77695344216943, 797.05929273073457, 797.36569436316267, 798.45885808668697, 798.96305731141149, 800.62752377654544, 801.42876543493799, 801.74554478364416, 803.12030948514439, 805.23742988525578, 805.6195214493257, 806.36098341979437, 806.51276451943318, 809.18742014487452, 810.37205944614789, 815.12219574079643, 815.46759931023291, 817.07601164640948, 817.68009786835739, 817.73118978634568, 820.96368270180767, 821.33783427047058, 822.19134343070584, 824.2064758771478, 825.37386911288866, 826.01513506996082, 827.1455525080645, 829.7557604957974, 832.63075437984173, 834.38690659313704, 834.42399876420347, 835.38404382383612, 836.73508537515511, 837.60562299374214, 838.19724709651814, 839.07622231088635, 840.08545956514911, 840.35821520912816, 840.74165024781723, 841.02779056062752, 841.59766665276118, 841.87465453592449, 842.59839715335545, 843.72744707243908, 846.09146439262952, 848.73230739630469, 852.71465407133439, 852.9078215718273, 854.33231140415785, 854.91716734956185, 855.51260392914764, 856.1497264676068, 856.4534022682459, 857.11001549812931, 858.01898398831156, 858.33907279747586, 859.01336421309838, 859.8055419537917, 861.90853350661803, 862.2615207022294, 862.42472404851287, 862.63482080392805, 863.02514133422915, 863.17807888555922, 863.26957920523819, 864.46376752371236, 868.22706499759954, 869.618171257732, 869.89762893046066, 870.02055756661969, 870.49283568304031, 870.79525165018276, 872.96930753107972, 874.14876742738704, 876.13555653684784, 876.7242860740439, 878.71088704705164, 879.32874756558385, 879.95304080054234, 881.66432587289523, 882.6763484179894, 883.36945594267308, 884.83157251567252, 885.95229805437293, 886.69740471218483, 889.7574388295734, 890.18209083515865, 890.44981473734072, 891.10705821632905, 892.57499869677144, 892.75005300578925, 892.90732723648648, 892.95247644675237, 894.56458056265797, 894.62876368032926, 895.39681242638596, 898.46045982430542, 899.37599172233922, 899.53358715673437, 900.52222665034867, 902.64670533729407, 904.79549355650977, 905.43032712259003, 907.16832802024646, 909.45897488384719, 909.78276753802072, 910.53670879694585, 911.30763590205117, 912.40382037904703, 912.68044551971332, 913.45492739922099, 913.57341721389741, 914.40093748586764, 914.52485317758135, 915.88380311869651, 916.42157415463566, 917.35183463213423, 918.62412781982323, 920.62828202855781, 920.66001379280658, 921.49369924215819, 921.60457799959761, 923.62771437840559, 924.72325484711359, 925.76058726889801, 926.77433556289395, 927.4064750036855, 928.22737232153929, 931.66881750990353, 932.04809323447921, 932.53613275509929, 932.84367466512219, 934.55414962168868, 934.98586702874093, 935.40637543546086, 935.96252292533222, 941.57143270785593, 941.84324666643624, 942.42868953271056, 943.78720054008613, 944.16658452554134, 944.41594945436043, 945.74189693644894, 946.68116743265523, 947.04261182019093, 948.3574439680898, 948.41801763493777, 949.53081345541318, 949.65782219834557, 949.91569460888786, 950.30195594068016, 950.41665880143091, 950.48605542993198, 951.97149275153868, 953.14583815852609, 954.62549365416419, 957.31269110833523, 957.52874183716335, 957.84885540097287, 958.75096958682934, 958.84083970658708, 959.43964837103181, 960.69587196536884, 962.24980413419109, 963.52401233884666, 963.55394974122657, 963.95251701065331, 965.01830639564844, 965.93131502020026, 966.90589147180742, 968.73385150963952, 969.0145981918547, 969.42137418061418, 970.49877165569376, 972.72219923695195, 973.04125015161617, 973.99142037697413, 975.33116351886144, 976.22064654584597, 977.12550781483617, 977.44055760041033, 979.34597976089333, 980.01456657918288, 980.65285859253925, 981.3400230933355, 981.5946787822428, 982.13805168129522, 982.27094431740977, 982.69717509627287, 985.16150937907707, 985.25148818912237, 987.87671713606153, 989.93914934505653, 990.1892999799087, 992.01359532934066, 992.49413278731527, 994.41396396679124, 994.58210341061215, 996.42641237986697, 997.56119171856369, 997.6180119741482, 1000.0682637255662]),array([52.744908900019325, 52.87838948714154, 54.650650813437956, 56.062397774638121, 56.634466129527183, 58.05015786391602, 58.657221552009048, 58.682814565940603, 58.948162087980201, 60.460050361271826, 63.550716383649601, 66.572986510085641, 67.706205118019852, 68.271653362183542, 72.253730083492869, 73.443530204270886, 74.223928782252585, 75.548491117859825, 77.543225292003598, 78.568994303067782, 78.691475571544288, 81.86817275746597, 82.885272710956826, 84.161634753345695, 84.302590493211198, 84.559987605172026, 84.873211070829683, 85.148758243945281, 87.069104039571087, 90.091937510548462, 91.316191711828978, 91.809509351711512, 92.886228518861742, 93.412392408871696, 93.44494006411864, 96.087901162508516, 96.633419994239262, 97.546158366335689, 97.865827273330154, 98.844956791373704, 100.69722194089522, 100.839721923506, 101.46801152674513, 101.51542555870158, 102.1559038526507, 102.74087763204845, 103.44406693197149, 104.27482658173055, 105.95299455684507, 106.22822366721533, 106.25451235657812, 106.73425927904148, 106.88198844437861, 108.57958583085664, 108.99371551046383, 110.47251419272726, 110.49822096175052, 112.64468716244761, 115.15287533712261, 115.30539998602723, 116.79058916869427, 117.85481809651969, 119.20892213297829, 120.70467076795178, 123.65304977794749, 124.32123551029015, 124.43954388125731, 124.80724720151467, 125.01213131733985, 125.31264764948884, 126.01120346922595, 127.04986950131001, 128.10376844860892, 128.37584788876984, 128.82059885876598, 128.91321701258491, 130.55604175685141, 130.83379089408285, 132.9998560162947, 133.20260721660313, 134.94534578773522, 137.31797586998547, 137.35918169558852, 137.50064902855186, 138.46466351063526, 138.59004842552139, 139.28450167627929, 139.56507236089158, 140.50485387148305, 140.75078629403896, 140.79025323656967, 141.10123641121478, 143.49542632536847, 144.11871008439331, 145.44577285663297, 148.91364959553189, 149.14123112793683, 149.59806947259941, 150.12465619315802, 150.51888400872625, 152.10458032903199, 152.57548800768222, 153.79885752697786, 155.03404639664268, 155.18017429001654, 157.87702843416184, 160.98248778278963, 162.21871656750753, 162.50383787339672, 163.41569582715528, 163.45221322476479, 163.63992814902485, 165.20160993696658, 165.28050821748752, 165.58492727078837, 168.42034781490494, 168.61335475567068, 169.15429323314322, 171.46012993897577, 173.8038326676143, 174.89849544049986, 176.95708803016788, 180.27780008232975, 180.99515069190127, 181.55614388634811, 185.63965160079923, 187.03158382941356, 187.22297046584157, 188.00649311671964, 188.4049351884648, 190.289604792304, 190.65247211973994, 194.03816198697919, 194.31787193417946, 195.58601097112293, 195.99252382020342, 196.35960555803049, 197.17147473882088, 200.4424238143981, 201.76268867634232, 204.14865299151373, 207.83464049790012, 208.36627009171326, 208.93090454399274, 209.53379275017656, 211.8838031490431, 212.71478111381487, 214.19747781782272, 214.55861992623673, 214.68930089992199, 215.00181892881295, 215.64781092253668, 215.92659121592891, 216.55113000978034, 216.94811602804151, 218.06680195721694, 218.20169700944464, 219.29081723361645, 220.18323896185643, 221.68230424932091, 222.18439345533099, 222.28615430909969, 224.04083270087352, 229.30465724410766, 229.45348529312639, 230.62850633050459, 231.36678989278948, 232.12675570945072, 233.1624168613742, 234.31374744925901, 234.76138422076477, 235.31453057503563, 237.18358758108548, 237.48110079529704, 237.78518459862744, 237.87840632154831, 238.11394593938905, 238.13546090332031, 240.46336831915201, 241.59213278270204, 241.91124935629847, 242.13859175603017, 246.01596981547175, 247.19188956062774, 255.59722942774457, 256.97779842570986, 257.83020422359527, 258.02717111789991, 263.19300897928679, 263.31763952324309, 265.04202324809677, 266.69964609588425, 267.68228127253093, 268.5737284763548, 271.02784724298289, 274.32977681190215, 275.68943629987268, 275.95971560661889, 277.13598827594791, 277.24019857316455, 278.97043527927076, 281.1831713106468, 282.31002934817678, 283.63290425344087, 284.74226027739013, 287.42246305176729, 287.67887484305771, 287.71856692711935, 287.99725959479588, 288.02764847817258, 291.26786410612732, 292.63150329373707, 297.92261312256358, 298.14237825691481, 301.58073385877606, 301.80869941271425, 303.58302496412244, 303.60898378639877, 303.88688749474898, 308.03150410795411, 308.88698860741408, 309.19382415082873, 310.80992341517856, 313.6947938788382, 314.57535092384967, 315.22549493989391, 315.61889054408681, 316.46250715833065, 317.93637828997925, 318.13028399222657, 319.86912389898367, 319.97848338708121, 322.37832052811143, 323.04015651181999, 324.73802522844875, 325.83319751829703, 327.48895617498937, 327.64277840866782, 328.76533376891263, 330.5333245422313, 331.77271903749028, 335.04366634699659, 336.10142081535031, 336.67990795931047, 340.51138197552416, 342.23776773599644, 343.1320637417482, 343.59694629350355, 345.06880426117459, 346.39028360350454, 347.14635472765474, 348.32193536848632, 349.63590792060074, 350.06867058481919, 350.71026425794355, 353.24594087433985, 353.85093351553388, 354.12031573151847, 354.21741711771563, 355.48201291580932, 355.56537391241494, 356.77019801742534, 358.1889760614859, 358.86240588314558, 360.15544192465757, 360.39621764978267, 361.97099351600878, 362.32268489461245, 363.30344967124347, 364.16414108331657, 366.74204810135001, 370.81678180536102, 371.2665318826497, 372.29575479405997, 373.39245557996537, 374.35545778126715, 374.70177397307151, 377.56719843516208, 377.63501878864713, 379.54001811363668, 380.01876706132066, 381.15107390899954, 381.85370931584993, 381.98450150793798, 382.7034779468587, 385.75475292269653, 387.51868954993711, 387.59080572270744, 388.1354402095327, 391.93063016450526, 392.76745856299607, 393.93312991823308, 395.5220329879798, 397.65055022008761, 398.87412026242868, 398.89460277677409, 403.30971599522326, 404.77356397915599, 405.11855028263284, 406.59518455790271, 408.34376283534408, 408.73026282663017, 409.16040403316669, 409.39852270092047, 409.72990037558276, 413.38272310276494, 413.55790524219418, 414.05226019607727, 414.22623649724028, 416.93424203323525, 418.16370683862539, 419.8631799880381, 421.20530900155006, 421.81442810046042, 422.13445077580008, 428.80529522010244, 430.81071466328768, 433.68539184562542, 434.12166032215202, 434.34470860900899, 436.58952497903891, 437.19091548226703, 437.98363565386097, 438.23692542192822, 438.27425609752362, 440.24077086256972, 441.34314427146853, 442.49790222243286, 444.2087261712619, 444.47844333507265, 444.56192130198787, 445.0080134757157, 446.27050047161543, 447.51418206674697, 447.7628550961299, 450.27756793086382, 450.69946643329183, 451.88450549153947, 453.02912995050474, 453.1114386819167, 453.42757306716123, 455.16847793714783, 456.85376374848744, 457.65578537625652, 458.56096531616197, 460.0019457522551, 460.09353297505226, 461.59719718344604, 462.85125655221913, 463.95674024187093, 465.46265468112006, 469.73481003817636, 471.33070042161785, 472.23084540610444, 474.09780267266314, 475.60699820309401, 476.08799675007901, 476.80900629191871, 477.19141241608202, 477.79811981243728, 479.35022004548648, 479.76772200858289, 479.89865048443562, 480.29675486789995, 481.15324170932536, 481.73171218656921, 482.57929492699157, 482.79378840378473, 483.60514753071635, 485.08080981069656, 485.49960070277058, 486.66937353967631, 486.87151606817349, 488.53902074417948, 491.25791045680597, 492.12361663088222, 493.65230521822684, 493.98058768918492, 494.2069228011494, 495.14263195290891, 495.49912570696927, 497.25153739152876, 497.27443252775396, 497.91334296936685, 498.28987186681928, 498.35095471597788, 499.58805336591661, 499.83751283655351, 500.43665466723593, 501.0866568147656, 501.54385023447355, 503.07946012731014, 504.83797676170695, 505.50016592667669, 506.57267028496193, 507.56990700051819, 507.66077467251154, 507.82280780022154, 507.91986532130045, 508.44025560250913, 509.1076596643764, 510.52421150907497, 511.41977693084323, 511.75374058655763, 513.70669502111605, 514.01560813564004, 514.45407246361299, 516.20019159338153, 516.24977104425523, 516.43645864959569, 519.66356517238341, 519.95586742942055, 521.01834349217631, 525.08739963480116, 525.17716811805474, 525.25228591724783, 527.67207900072299, 528.31287809709352, 530.6164683137057, 531.69999648301018, 532.81331336514597, 534.59559476593995, 535.42533186354603, 537.34051317108413, 538.27622615168445, 540.21921993545527, 540.31215335905597, 540.76562982855023, 541.12842236651591, 542.60385553474816, 543.58387803504149, 543.74489647273549, 543.88858657535468, 545.64652333932713, 547.13227737988223, 547.71108101711104, 548.21972398297862, 548.60137662800025, 551.04298025849789, 551.81487925404144, 552.87708300523582, 553.0397265408775, 553.27253621224565, 554.22398141959104, 554.35630012044044, 557.29936141499536, 557.5227329763585, 561.09424351362986, 562.51429832905751, 562.61362452630624, 562.91522772213511, 563.61022613267244, 564.73131675009495, 565.96923883885586, 566.76256306932464, 567.55905152374942, 567.83257717376262, 568.38995538419408, 569.00189254185432, 569.76118239937512, 570.23920698112249, 571.8875785968886, 573.10639623806514, 573.42624643946579, 573.9845559996528, 574.00826375680435, 575.66941268752521, 577.70571292603461, 582.57815881130671, 582.84136772457816, 583.32061688154943, 584.11109153177097, 584.68638398604207, 586.12767246339683, 586.94295109399161, 587.11866229413579, 588.16417798792361, 589.3873872274512, 590.69262311782632, 591.04672543398101, 591.71023911005386, 592.01652161661139, 592.65116682842904, 593.51667658633801, 593.58827499989741, 596.66069561578456, 596.89482937981279, 597.97298109250846, 599.87233108048213, 602.86987133326977, 603.74231773528675, 604.03364526939902, 604.39618131309737, 606.84758259493867, 609.85501493279571, 611.56038145059165, 612.71053851834938, 613.88944885341198, 614.64114253382206, 614.67709408927499, 616.83016854644723, 617.39418745038574, 619.84630425505918, 621.00850106151495, 621.30271742273919, 623.32729786476705, 624.54374280630213, 627.22983648186175, 630.44192237088055, 631.21284941581689, 631.61215170807225, 633.42447497347234, 633.69165630333146, 633.73622411920519, 634.66233241932434, 635.90394399566196, 636.08891171059258, 636.5199421501037, 636.884790464106, 636.94087269009015, 636.97364664537974, 637.30903382666088, 640.05180527595394, 641.18244105344502, 642.35011417496855, 650.96378764981432, 651.17414774476777, 651.7267149061521, 652.1085308983545, 653.08798579900258, 653.16803985052854, 653.96944193025809, 655.12175596745237, 655.6473904327122, 656.87787288728771, 658.59730807702942, 658.85305004597899, 659.02318868164559, 659.56973929154094, 660.88433290008788, 660.93970264953771, 661.78517372391912, 662.31245788985063, 662.37024806084992, 662.78860239490621, 663.47802966624249, 663.9176596036375, 665.58265569060438, 665.74281561339706, 667.31030888111445, 668.71733673260894, 670.4455200455385, 670.98552961866551, 671.36028277505284, 671.43260395103687, 671.60218040029031, 671.74850681681073, 672.13877229690843, 673.83350692850513, 673.95106848381181, 677.62748249894241, 677.75943405253884, 678.72579922764339, 679.38338130357488, 679.57643825041237, 679.70451208493637, 680.24580999210161, 680.35554786845523, 680.50562124456656, 680.82476774779855, 680.98090208282167, 681.13431733800167, 681.34419725450948, 681.37113241759789, 681.9112503504989, 683.31958020611546, 684.62864079404426, 684.71707790362848, 685.25877281800786, 685.49783773439015, 685.59022072051675, 685.94708433674441, 687.25831769493686, 688.19145774148365, 689.94260519362138, 691.23269416534197, 692.20485986661413, 693.63949691762843, 694.46704929055545, 695.3144577711987, 695.52001777455018, 695.99922035197608, 696.04370621532439, 696.48696386757831, 697.32830498749138, 697.90166500782368, 698.10575820890267, 699.41633170281943, 700.57789756241766, 700.68711389674911, 700.92013365320599, 704.54692544381408, 707.72996447758658, 708.20622524167163, 710.27144863704279, 712.21926633512555, 712.55021700344469, 713.49226277629384, 713.81374512578668, 714.26517995652114, 714.71236091613025, 715.17614312341004, 715.51659798934168, 716.35550114412354, 717.05407846597814, 717.97634536336034, 722.25671371409373, 722.40113329004794, 722.97713194484959, 723.45382595662727, 723.63468536520531, 724.12165278238388, 724.24291597896865, 724.66116010450855, 727.89733213902264, 728.24824025053158, 729.43697286180031, 730.78463820068418, 734.23372860001871, 736.30984247206857, 736.34369488159052, 738.23255468192167, 739.49378424010979, 740.37934778249814, 741.4132260946717, 741.96892184839123, 742.18567867787306, 745.75488945322013, 748.10342783084525, 748.1490240543036, 748.48608085963826, 748.51241052825901, 748.89302793757838, 749.09057080075468, 754.12626660256421, 755.0897118514963, 755.40829504168062, 755.99126781177426, 756.36645891749072, 756.4042098651455, 756.9781388524982, 759.85490249156339, 760.89546706596161, 764.26097737376313, 765.15408642488467, 766.80560526126021, 768.79827739100153, 770.31354950054879, 770.39880679058103, 771.53030842201815, 771.91710145662933, 773.31833051844944, 776.1084142057158, 781.16037924494196, 783.14684276614651, 783.67225144335544, 787.15197208810525, 788.43630485260837, 790.20697187798544, 790.44377335530464, 791.05425814094133, 791.32929550741574, 791.75627307582931, 791.89278525820134, 792.40711520532284, 792.61324043428522, 792.97351521267035, 794.64004992655816, 794.82711479543605, 795.73740710265099, 796.03261879941124, 796.97191738604545, 798.44068734419227, 798.75064399791222, 798.84557842167999, 799.05301150041987, 799.28228610318342, 800.0880376393992, 800.19592997930965, 800.85270923702649, 801.96302845065372, 802.1151825814261, 802.61807560722343, 803.41822440997055, 803.55292352298261, 803.91059523480567, 803.99542963566239, 804.20566479340835, 804.52463138530277, 805.25080506995846, 805.70012521854198, 805.9677665171364, 806.99741920363965, 807.02165416280081, 807.72207917947333, 808.62837755599855, 808.80899165315009, 810.75064552415063, 811.01232014443792, 811.11311845266391, 811.32764690509305, 815.00471039297452, 817.83222639601513, 820.40436592842923, 820.82675669900038, 820.9132203977839, 821.71848686107876, 822.38534508271368, 823.34186215719365, 823.48071290095891, 823.54683568974872, 824.53068734123895, 824.89079835649954, 825.27260220112998, 827.31007092939285, 829.09334743645582, 830.60525560883366, 830.64031374565582, 830.73879480564142, 833.11429815634096, 833.53042149486441, 833.78671595861499, 834.22181841888266, 835.14105816749964, 838.11235265496941, 838.21969835108837, 839.60039090276177, 839.690780061449, 840.49418281893873, 845.51101170736752, 848.13205089123755, 848.18910367473211, 851.08536596117483, 851.35271352069776, 851.78578567394811, 851.81531077382181, 852.0892746564158, 852.18622086520395, 852.68222482628255, 853.13874743239455, 853.842193577329, 854.62477466773055, 854.8457522298246, 855.93942417051323, 856.93371432740298, 857.25642788764048, 858.69195626222643, 859.64975371275955, 860.57820462891789, 861.15902912798697, 861.1976314551556, 861.64189818864588, 862.38907807794271, 864.01907915643881, 864.83266877259723, 866.08300315489544, 867.21042243624368, 867.28852831177323, 867.41263356700779, 868.10075325410685, 868.17258993085477, 868.20539275071155, 871.79503275076672, 873.04895926300185, 873.84898241029748, 875.47194811870372, 875.93715892649459, 878.31037790775952, 878.47587726233746, 879.80779081782646, 881.93104003127576, 882.75882968909991, 883.84049185035133, 884.50112152872452, 884.81350791780142, 887.3668210293207, 890.27500088068393, 893.45010727541387, 894.8347154751267, 895.0508110866931, 896.93028656249953, 897.45186363578375, 898.31389589776995, 898.71902449880201, 899.61967967202145, 901.29782857081807, 901.35697905515917, 902.49045249000937, 902.65438082978676, 902.7853203131524, 904.87287148259759, 906.65986277039633, 907.09180508974521, 907.89091183570747, 908.09306350279587, 909.80000032494092, 909.85525714362257, 911.1773364753866, 912.19877245826672, 912.29573111167451, 912.96768204186958, 913.59808945956968, 917.15450601433622, 917.23627565333061, 919.74109697237509, 922.4447977087932, 922.94385042806573, 923.02894273602772, 924.2123178407694, 925.87359378890301, 927.43035917749569, 928.06340549688946, 929.42559145167388, 929.82847861257153, 932.53102506399625, 932.98776264147909, 934.24779654658971, 934.44887432713278, 935.62152445247114, 936.93498697828102, 940.04429963196276, 940.37466107166779, 941.27324473506928, 942.4832466087247, 943.36375870859081, 946.38300114419144, 946.77120299772116, 946.85536885442559, 947.30657724765979, 948.49840270402569, 948.54215355706594, 950.50592786675691, 951.74749051700996, 951.89400853743439, 952.37308366526315, 953.04905220961689, 953.80671253367268, 954.19764433708667, 954.62948553205365, 956.72151441777805, 957.22436017360155, 957.6934993494425, 958.11506130363978, 958.43215522921628, 959.58970415129477, 960.19239885872298, 960.605738230106, 961.63620110007992, 961.90446877677573, 962.27012763542643, 963.19203675882886, 964.19223359243745, 965.9830828745969, 966.46319935396195, 967.4583398107759, 967.70233784552465, 968.62972894702352, 969.09239634022094, 973.7243077613432, 974.63406732696922, 976.1106534023985, 976.4876803237064, 977.36922297896513, 977.73915489995272, 978.82447071484853, 980.29975419217544, 980.66013069248129, 980.94313034044944, 981.71015949143214, 984.60153813419902, 984.75275914375254, 986.07708370706257, 987.29968397228924, 987.44378360384098, 987.58473003692893, 987.63351982413303, 987.82665404116756, 988.71010686884802, 990.54647417129843, 991.62697878880442, 992.27461607346254, 993.40967145033653, 994.01967992366804, 994.1974654918198, 994.51799248231157, 995.37595276595277, 996.05901228770165, 996.09555716592149, 996.77663953092485, 998.66228626850102, 1000.6283146397644]),array([93.827033600837254, 94.496694325766711, 94.873089626586619, 98.858933046168303, 100.11409785740598, 101.3326847861798, 101.66276503982554, 102.42882838444366, 104.6467349691393, 105.26647916906822, 108.89212077277242, 109.35152083891819, 109.54957617625952, 109.97774513170721, 111.36397204766418, 112.34388572218003, 115.17027247922532, 115.60966377885393, 115.87690326329967, 116.16160923684225, 118.27590429166749, 119.51686875425139, 120.62712996698004, 122.69692161603471, 123.14289067582916, 126.15239588018504, 126.33964417442, 126.74537141040734, 126.98397853756288, 127.70657653087085, 128.70112863734329, 129.67187552114879, 130.53928193788539, 131.53659835554933, 131.84631057930531, 132.09998892860148, 133.95443190027277, 134.19771390762534, 135.8216270768165, 136.79774442816421, 138.61725613912267, 139.14847117753149, 140.57679452774613, 142.64274669293599, 143.43577412327929, 144.55867687474446, 145.59469518277385, 145.71696322152917, 146.31959568908005, 146.40282269911543, 146.90147239050899, 149.80109195023556, 149.87343132494354, 150.88771802723736, 151.83354498210386, 152.16863139083841, 156.73810679860455, 157.20246236727829, 158.9909191704233, 160.15826537647428, 160.39460319649689, 162.15834821906512, 162.29478890480493, 162.35795417203028, 163.5380611197935, 165.52135993519096, 166.41369307425146, 166.56387420984055, 166.83369509053074, 167.79672373978096, 168.11620717751731, 168.23128298946918, 170.43005413812963, 170.61193475358948, 170.65864902775883, 171.16049916470863, 172.43109434432949, 172.60668932214503, 174.3793045954707, 179.1950606352402, 179.44984129908354, 180.00780729257397, 182.22647812931476, 182.36042209544567, 189.07119723775779, 190.44925932090061, 190.94243169775547, 191.47524077255918, 192.34930262987379, 192.98475237352852, 193.16784009740422, 193.21679523166554, 193.46307509199787, 195.6141678622316, 198.98190142677922, 199.06230249813487, 200.16283929558458, 200.43049149021516, 200.47834186825241, 203.81403934134354, 208.02566576156764, 210.85728878629726, 211.19294378031429, 212.38281442263528, 212.89605099460547, 213.45702486651285, 214.84298547394238, 215.5061227067882, 216.07962566002655, 217.18417614717347, 217.34372494612495, 218.75617137955365, 219.80628811444555, 223.54524275516252, 224.9317133121454, 225.30290817903395, 225.49532819295402, 225.54268691085474, 225.98058386092521, 226.91427343311082, 230.59616136616046, 232.22460598496127, 232.2498213553757, 232.30928147810556, 232.43395059553399, 236.11423940816758, 237.20398521354096, 238.15782648241253, 238.70364651631564, 241.60569461667271, 242.04264725710263, 242.67813024303342, 243.70142880784604, 244.35248719648604, 248.15287858814926, 248.79264155002076, 249.19155826195788, 250.06018218023485, 251.59298237419904, 254.0099826400749, 254.86819882197881, 256.01341249656241, 256.74031489296027, 256.85053696399541, 257.1721507854852, 258.59686255888374, 259.12097990264243, 261.72309868851676, 261.90287485521588, 265.06793154330836, 266.40358912890292, 268.82899440062931, 268.91381672029064, 269.25647195972567, 269.30693040126323, 269.94915351697762, 269.97377309907563, 271.11466275581114, 271.83259069560023, 272.70103335046133, 273.08752706914811, 275.1147428317941, 275.59801653237594, 276.24564712717455, 277.00276490499823, 277.03325323370905, 277.6474917968427, 278.98136617075227, 280.10203605063595, 280.33626034988691, 281.00628956449543, 281.29981694739234, 281.60614753463466, 282.24020536422552, 282.45541139282176, 283.33280705863916, 284.06677792306419, 287.0444591688817, 287.18641465433683, 288.63636747869856, 289.05280759279964, 290.27226029207884, 290.85013537338534, 291.39320057426335, 291.66886733344387, 292.05810054091705, 292.37414176178891, 293.33173039976072, 293.88043477524741, 294.62179935433812, 294.97076140581083, 295.40358339498329, 295.45600772676113, 297.03337376760282, 297.94847177158158, 298.36133479138152, 299.39767894462472, 299.66525944278607, 300.39380199191282, 302.21451619156687, 303.38870638731083, 304.89798911570983, 305.09533198666441, 307.83939920005417, 308.01919744631249, 308.97565311685605, 310.77776391597695, 311.4331978908466, 313.64687531687508, 317.55302876716701, 319.22884092590323, 319.84119877013154, 320.92121617219806, 321.38683637898254, 321.41352296174597, 322.01986700537321, 322.52204601603773, 323.45343768410061, 325.42075015428514, 326.15875804679013, 326.26853990760782, 326.5845948432443, 331.12424052762026, 332.04351804869407, 332.26538515760717, 333.35222251720978, 334.86719998190364, 335.70317525119668, 338.03548016049461, 338.16782035119661, 338.57764878552598, 342.65655919431651, 343.67649606530154, 343.7266846813443, 343.81214469688382, 344.2165810861739, 344.34207378526037, 345.82396501811775, 345.98565043555084, 346.19637561712517, 347.1145860214852, 347.71787643426848, 348.26911520518064, 348.74182662478734, 350.35405292834639, 353.00459689505368, 353.5156072433461, 353.92439123927073, 353.98292382485812, 354.22352639238358, 357.41019826043976, 357.63497755992978, 359.42674729461731, 360.75092272660385, 364.17977379774152, 364.80638669864743, 365.2872818606445, 365.43366814538876, 368.83027107991586, 369.75361598827334, 369.95099565719721, 371.02298123542761, 372.49663489352855, 374.41560289081303, 375.07641696157572, 378.82223831205732, 378.99886967181072, 379.89687331958129, 381.74117318186768, 384.23039989451627, 385.3120441741828, 387.13461559385718, 388.8670978136069, 390.82221754484931, 390.94976301057892, 391.00884438540305, 394.64596034625276, 394.70281202206451, 394.81925149531367, 394.88923250658451, 395.26997081975736, 395.37208650833531, 395.50193962420281, 396.59111499437535, 397.70527369699352, 397.78686048039475, 398.97090652528902, 400.65017732401589, 402.25837046329866, 404.17350769535062, 406.23749244377643, 406.32386559367706, 407.27473079404797, 409.02892871970948, 409.54039847878158, 411.90322659463601, 414.30749059975039, 415.99137079415942, 416.33318388760961, 417.25582143051685, 417.42903352624853, 417.84041229958967, 419.33628638230067, 419.73200739797807, 420.80993075666629, 421.26194869189362, 422.21451502178451, 425.30169331097039, 425.33510946652132, 425.7914161713212, 426.6983018669527, 427.25923875869353, 433.66113779772417, 434.53987432067561, 434.75231553732408, 437.03823306348949, 437.22932558755235, 437.37383258440087, 438.92434899099635, 444.1197757632209, 446.26160011887941, 446.61846328370564, 448.51543841639955, 448.92945674171443, 450.14300418145098, 450.74154568158957, 450.94056547322265, 451.68966053106504, 452.56336517034674, 452.98165118018738, 455.16185280229115, 455.48721698820475, 455.52667067324609, 456.19745098460555, 458.95494938959217, 459.69954534712002, 459.75361364360936, 459.95988847557186, 460.51102662592569, 461.20000931556245, 462.00883994652526, 462.28575451956789, 462.44286521942553, 462.88259728391057, 464.4372256159013, 465.6398550908018, 465.72174069291862, 465.92599300880551, 468.72563327331977, 469.05173980591729, 470.1701148746568, 470.73605791004059, 472.28486656795133, 473.03531261659305, 474.97945871290096, 477.23761828884494, 478.50250640572511, 478.60578968461095, 480.54963240227249, 480.70452219871453, 481.04779928326792, 481.21711125595789, 481.27854550514832, 481.69059626174339, 482.8966354378515, 482.96175584516175, 483.52981191658267, 483.99079178313667, 485.59495218112602, 487.05309521211734, 487.37019221096654, 488.01292782925856, 488.97266953343853, 489.92417611517004, 490.20846507203998, 491.0449471925503, 491.99614636202654, 492.08132243424859, 492.13734661983955, 493.82220910341897, 495.38816708351044, 495.42896307793075, 496.2414251982982, 497.71759823565162, 497.93914719983763, 499.36358912629851, 500.07858336633456, 500.30587580822817, 501.07006870758499, 501.49927759183902, 502.53724603182047, 506.20273488746687, 506.85653581295878, 507.8424263867563, 508.57202818572938, 509.16814690937389, 509.76956390703094, 514.58694585218916, 514.74438077187415, 515.13445480203552, 516.2751630669062, 516.37412984426305, 517.61359726467947, 517.85436130263963, 518.67914200456107, 520.50202664519986, 521.18978554562602, 521.33312026057206, 522.17487832257268, 522.60013683591148, 522.87426861728159, 527.67930799442513, 527.8384062112857, 529.83935366331252, 531.06100637576787, 531.75678301991468, 531.87422618029939, 532.82343875883612, 534.20187571200768, 535.1038125185363, 535.50649279589948, 536.1337160947495, 536.89818950838946, 537.59481848688301, 542.09755462370845, 543.10359946656115, 544.20482555903573, 546.19569542445493, 547.69627011364003, 548.46308414383623, 549.6128896391366, 549.77779562927742, 550.52549603587795, 552.48414800187516, 553.81483372157766, 554.42032745223253, 554.48283429069454, 555.13329189951958, 555.80546820532072, 555.97527692044014, 556.20244387713763, 557.56999550125943, 558.41574753137616, 558.54926118895071, 561.11919494448375, 562.66663409369335, 562.71222260191064, 563.05182315384434, 563.3736337526642, 563.43578298917976, 566.06200619077765, 566.86681855346978, 567.11875030807869, 567.24940884575722, 567.52969917101564, 568.1208649453074, 568.42923673362611, 569.85983926338929, 571.2034535798166, 577.14858618243011, 579.20300971269671, 580.59979327537064, 581.39238140048531, 581.4724400810976, 582.35045357844024, 583.72131934207925, 585.16536808811873, 585.33480225518952, 585.67131382152661, 587.46625409683236, 587.99907950991781, 589.58775500682123, 590.26821177227919, 590.82215731554982, 591.95376609059201, 592.67757509348166, 593.68111780272761, 594.584755247271, 594.89449465542748, 595.01260805994934, 595.90727952820828, 596.37038280783941, 596.92244748178109, 598.13304856987429, 599.33617198196623, 601.65301754131974, 602.48257901070679, 603.48925810664809, 604.40230320114006, 604.75707377478591, 604.82019224158853, 607.55344800100261, 607.70303057451679, 607.75133280308478, 607.79931805361468, 609.71683550737134, 610.27191397787544, 610.99993361748807, 612.45308256666408, 613.6976491762498, 615.49309386021707, 617.05760056643032, 618.29365903499456, 618.8210130319568, 620.81170473554607, 621.76317961534653, 622.19216884473963, 623.08937628651381, 623.22744168055522, 623.42826668349653, 625.3291665650562, 625.5024355354326, 625.92584533006925, 626.09524216718739, 626.98055345545276, 628.11459820374159, 629.13868093745486, 630.07409692614146, 630.6482853015616, 631.67065487362481, 631.85716429334843, 632.00200528831544, 632.24370043226918, 633.78320537492721, 635.71616648359168, 638.49884401959343, 639.89424291538842, 639.9908814858594, 640.99575604725203, 641.64494860054754, 641.9869329307835, 642.46348534165088, 644.3576047914014, 647.2439965464938, 647.64970790811083, 648.85888638080939, 649.99542609867137, 650.90348394775401, 652.90973795745208, 655.4935341389255, 656.46882681813986, 656.56544959769712, 659.30940435256468, 660.67325310200999, 661.16193427590724, 661.75918987782927, 662.53139072092517, 664.13827207752513, 665.91763085476589, 665.95945972070388, 667.25737909725774, 667.57975412704263, 667.67384248388169, 668.20298327962291, 668.6258278990523, 669.48901797578765, 670.56598192602974, 671.96561502631971, 672.29175312819211, 673.16699621109228, 673.72055141946146, 673.81490231189116, 674.94528477585095, 674.9747486659403, 675.42847169569382, 677.19223060692264, 679.24987201760996, 679.40757443222662, 679.66547608520591, 679.86950561002641, 680.01544458216506, 680.18605856259148, 680.39017424406723, 681.06192993188722, 682.19912863366835, 682.64491230758881, 684.83349183909957, 685.56186885449324, 685.64147317270886, 686.34955952072607, 687.04531901290216, 688.57162624540399, 689.36971951202588, 689.81520545594242, 690.23385309496234, 692.62918481615122, 693.83723523194953, 694.84298616198066, 695.97458566853061, 696.64677609498153, 697.68736332912465, 700.10491778186179, 700.65611857684189, 701.26380156342532, 701.69096717251989, 701.90615115221601, 702.00162337709708, 702.3009487124333, 702.59674258023642, 703.45735351801682, 704.68403397384111, 704.78270722337163, 706.00524751218393, 706.87809646338917, 707.20908083344466, 707.87714948983557, 708.21179675084841, 708.31112833240286, 708.76996016750456, 712.19244857500644, 716.05162052024036, 717.60042360060743, 718.81019472446258, 720.00998188047436, 720.26790325711966, 720.69744908207463, 720.96772837197784, 722.07290074848481, 722.79515876061032, 723.02341144633203, 723.89587924373939, 724.94369061882662, 727.12385807907958, 727.20517435220847, 728.52441820009926, 729.10678327368407, 729.60944834212103, 729.68932951049328, 730.02908711537384, 730.56991778746237, 730.80617615042263, 732.21327645476424, 733.3211077912988, 733.5655506210154, 734.40095469788605, 735.03257731736903, 735.56230019028862, 739.36060647011266, 740.4381693092032, 741.16220960153839, 742.39142556914976, 742.61616475064636, 743.48994581652266, 743.54757694846342, 744.3155029836729, 745.19008460722671, 746.5832967596973, 746.8187560987293, 747.10018998408214, 747.94765030021358, 748.15677613383866, 748.3485329577162, 749.27672055094649, 750.89177061124485, 753.6477026139205, 753.97124679036483, 754.09692927809522, 754.13252657064959, 754.26815108171354, 756.24583859999325, 756.64894565286431, 757.00911956343305, 757.93965661330719, 758.98738984933061, 761.10455707505969, 763.59469109367365, 765.48653017656943, 766.41724622767356, 766.65030960394893, 767.07974022220094, 768.14508523261429, 768.39962310002318, 769.71722127206931, 770.04499170912356, 770.88906450171692, 771.0487996265997, 771.33771786685554, 772.20685562154665, 774.17951895704664, 774.25898616306415, 774.44024990167043, 775.46856549172549, 777.56785854153031, 778.16099090441764, 778.32319824497506, 778.86654345134491, 779.66437111499818, 782.91685336572903, 783.86960972515169, 786.683264559137, 787.09661927700643, 788.73415623696019, 792.24934125814571, 793.65106469834438, 794.48245665216928, 795.10167578336234, 795.29969709378042, 796.14960996148375, 796.86676067866881, 797.47961272909583, 799.06525934574006, 799.26540017212994, 801.21239748352139, 804.06533228579679, 804.12318715096865, 804.47548068566186, 805.48131396291376, 807.05849119721779, 808.08550909481869, 809.41454759498811, 809.58977118014332, 810.02151302485868, 810.22743010410807, 814.24098431032451, 817.78981429055716, 818.39611610767781, 818.44191473880062, 818.6947613838945, 818.76646696055832, 818.87560322068248, 819.65978095386674, 819.85380251608785, 823.40039827027192, 823.47151759580254, 823.74867712548996, 826.2253117613817, 828.32206100032874, 830.9863449008833, 832.3159359857649, 832.5531073423856, 832.92249269943784, 834.47298719028265, 835.71291114810924, 836.68607587803547, 837.60246171138215, 838.12597025730656, 838.20071625741332, 839.31649168131253, 841.10959363525546, 842.43884941687747, 843.99127698526127, 844.35121760766788, 844.63990915769614, 844.86429149594755, 846.00137650189356, 846.11319447744631, 846.94770954442322, 847.62069306489968, 849.23987260461456, 849.53975061155836, 850.23239813881753, 854.16000204714669, 854.91305359446642, 856.22103420916903, 857.29527153505705, 859.64383296409721, 860.60056708529271, 860.89955209973994, 861.12514438496191, 863.19255168991958, 863.49915463060836, 863.67289855127149, 864.61394111420623, 864.84918869210856, 864.87798249729815, 865.6785135581332, 866.67208329154403, 867.53028409657054, 868.11388181032441, 868.175696029395, 869.88124810704551, 870.33597766152207, 870.39476723231326, 870.85899501665699, 871.25337847200353, 871.37150130937425, 871.65935522793598, 871.92760905336536, 872.20632277949198, 874.11857994375362, 874.15241718438244, 874.37423935784534, 874.5016011399839, 874.7452305388183, 877.03096863349629, 877.9704206984652, 878.23538200529015, 878.73135823245821, 880.65662049570153, 880.8724277742308, 881.21395204170847, 881.85925816320002, 883.26209520820169, 883.28744930925825, 886.64835839488501, 886.78879004444707, 886.82491755557999, 888.27479054633966, 888.61627653353037, 889.38622465136484, 889.89776826377954, 893.3449408530854, 894.82716317265056, 895.81855689853285, 897.97024599832798, 898.73800086186236, 898.92861840079024, 899.88536175814761, 900.4454362455682, 900.61622258233604, 900.72616920532926, 901.18475716324622, 901.35937283718442, 903.44022752915055, 904.1249034271724, 905.54591508036515, 905.8638075465833, 906.54892092474188, 908.51326073594873, 909.22596824153004, 912.72619202878661, 913.29196934241736, 914.23197778628935, 914.69989082405482, 917.63041402686122, 917.66090215737063, 918.24727915612868, 918.70996580009034, 919.55037222934197, 919.91130384849475, 920.28858191331756, 921.97349667450987, 922.25760842413888, 922.7243432853179, 922.85210939165995, 924.44208402581262, 925.36536607320215, 926.13089104774463, 931.49078988671261, 931.71640324386897, 932.36958457958315, 932.4551141083806, 932.86926623776526, 932.96485737653722, 934.650909166205, 935.19696863782008, 936.0335593161725, 937.04686701658738, 937.88433062665024, 939.68653648336749, 941.1591520765204, 943.27327094758766, 944.67517323224672, 945.69080691967974, 946.84266828892942, 947.02065828862442, 947.44269156128848, 947.82522883947809, 949.28325507248655, 949.46017369254434, 951.67305140895496, 954.62086277598053, 956.67381314205045, 957.02560756625587, 957.55236833041909, 958.22006454003349, 960.09261907275811, 960.16527863693545, 960.67914869351273, 961.49890053868967, 961.54782001295189, 963.52254286014409, 964.01042663332828, 964.10725108733868, 964.54675495875756, 964.63498353173441, 964.89662667910795, 967.26491155886072, 968.16430050614156, 969.19605464774224, 969.57064951627081, 972.21516772685436, 973.36503973891672, 973.74878555490716, 974.77862975264634, 977.45540290107613, 978.50252600308329, 979.23295165735453, 979.36222610707478, 979.624550284728, 980.37351901188106, 980.46500529249602, 980.73386811456305, 985.14973578444688, 987.45379605542394, 990.12418091826851, 990.59891781750969, 993.09552693891294, 993.11913599660329, 993.49293304799971, 993.95395327782524, 996.22843062468257, 996.97689226706302, 997.00928146283252, 997.38813492395627, 997.67536660728445, 999.46743091852272, 1002.6866467179362]),array([40.545254197055193, 40.994008636192802, 41.376773875096774, 41.758584061975128, 42.231951196995418, 43.115448188901205, 46.041884885168223, 48.165246276181961, 49.164386951159621, 49.45475621572627, 50.590167628668731, 53.604778634311018, 54.128021921736803, 54.184149994794851, 57.075732175524927, 57.181468531438476, 59.754044814480423, 61.192789956802777, 61.546245432824556, 62.379072805159787, 64.671469958471391, 65.66466456785048, 66.204157507993258, 66.440492760883643, 67.516087779059276, 67.826600809926205, 68.72600047094204, 70.387668800614264, 70.92324054056327, 71.696556973085407, 72.218696104756617, 74.045012056623662, 74.186611476415877, 77.587748760168438, 80.217399111364927, 80.584517860665372, 82.009870750240339, 82.051462159169944, 83.57300825859484, 86.95440358399145, 87.576437946945802, 87.69661464458936, 87.970508583457828, 88.448463558095554, 88.803097307435834, 89.728802567221862, 90.069857695188901, 91.361917943089693, 91.520851305281866, 91.841670220044122, 93.705326970752665, 95.243892515402749, 96.815690497861638, 97.532336888820453, 97.742589636753408, 97.83979991877446, 99.034667761635873, 99.794544675766417, 100.8680067550555, 101.65753687669779, 101.68520675265549, 102.19071071274938, 103.91939542573498, 104.04349538455394, 106.51402499051957, 107.23612598865621, 110.19358720201667, 110.79287090968049, 112.245369751355, 112.86376508135736, 114.22198570338709, 116.63631617143993, 119.00306338092469, 119.16825063641066, 119.94744665947954, 120.50852541614805, 121.37751856957701, 121.77580731553125, 122.64059045508263, 122.80257710221682, 123.66635836988127, 123.89204497887762, 124.86784660164659, 131.34791036009767, 132.49812718953473, 133.96912808521745, 134.84110157372623, 136.1171733114297, 136.43202496638656, 136.98316058594077, 137.34704291589776, 137.67986509294434, 139.43592355155164, 139.76750362766461, 139.82990194518501, 140.83086083327103, 140.93219084692106, 141.54755059854617, 142.06333747988282, 144.21346631534036, 145.44433336182027, 149.15853579361104, 150.24393623591115, 151.3154182888259, 153.40325669459847, 153.68625681199359, 156.32433472028134, 157.82619698753382, 157.90660865314669, 158.73187833844631, 159.91240825483413, 160.17634895170073, 160.45422028711198, 161.01769173510107, 161.56978650275187, 162.51898352804076, 163.70735281224927, 165.39932280472115, 165.59478522375525, 166.08397187795347, 169.12285812029947, 169.37511010810101, 169.6961949983048, 170.71927833578437, 171.07926575445259, 171.4398940607862, 172.5241581909124, 173.31814679707992, 173.5894193197058, 175.33047525775152, 177.46407651396831, 180.36414796590577, 181.62220281721656, 181.69360462055693, 184.28891915464752, 185.19535190667128, 185.36266282484152, 186.96275920511553, 187.63898845182919, 188.62458639285481, 190.35153406956567, 193.98129040072456, 197.97828367292195, 198.62871377190999, 205.61386127718288, 206.88558089622077, 208.04313891447762, 209.79129337698618, 211.34419864092902, 212.47226864480521, 215.54653961292385, 216.0954636100133, 216.11636418044731, 216.9083693091425, 217.8960804945809, 218.64121777214106, 218.70270892577474, 219.46615702543565, 221.92804308382841, 222.64540036348342, 222.80233213565455, 224.06755598962519, 224.72932293579018, 227.6382042611209, 230.29182030246932, 230.55660556693852, 231.73368708170463, 232.09158452534103, 233.70644630063194, 238.08988021744381, 240.67812457328438, 242.48112196751649, 246.14187566811546, 247.12474452662073, 247.92990635596581, 248.49206054414128, 249.08879116273701, 250.30437491984856, 251.57535864144907, 252.47384901599511, 252.52463088233276, 253.16737710964054, 253.28386970531452, 254.02645186747975, 257.8975115102196, 258.10004491657412, 258.74630019132968, 261.12262629094857, 261.59117583757421, 261.71842727315197, 261.77474193939275, 262.0171705179028, 263.04674714817412, 267.88269322572398, 268.62453487135213, 271.95131602789826, 274.03932471600353, 275.35256310537557, 275.96654405992905, 276.79834147955603, 278.87002536991622, 279.76568630434133, 280.87724700729763, 281.11799961303842, 281.65290814137387, 282.04615253679623, 283.99650066349585, 284.22988059486806, 285.09232215668629, 286.30445397856425, 286.9968533892328, 290.0430922381891, 290.72507068044791, 290.89668318270873, 290.96627003484627, 291.5375611345109, 291.86852243059695, 292.03125223094065, 292.35629758345453, 293.0088443567405, 296.16897238580168, 297.01114978334789, 297.69264547323576, 298.09022016007134, 298.16977383593365, 298.52013039796753, 298.63474644519249, 299.96193917849718, 301.58661872357095, 302.00027914852984, 302.03515836610757, 302.46945744183864, 302.75651364487851, 304.17314104101604, 306.37325252978962, 307.05305938850449, 307.15317499010683, 307.56571259396497, 310.44668026042558, 314.89512387482182, 317.37554182504681, 317.73729585908694, 317.98601020611903, 319.44394417877015, 319.97283629620222, 320.31902060436153, 320.43207286157235, 320.56098920265487, 320.58256102566639, 320.61409639457872, 321.71457867457389, 322.65617580645159, 323.25023580637088, 323.732435461953, 326.1606149792749, 326.77912671987747, 327.80985652721171, 328.81671078085725, 329.99554044324339, 330.50391952480265, 334.57635399727559, 335.12897971276362, 335.94804352024016, 336.22442746496824, 337.77151050863483, 338.7928280156716, 338.8653680948068, 339.65810500560684, 340.2346899851384, 342.12063871633978, 343.44513053584353, 343.64812074750728, 344.9192733975741, 345.84264846094396, 347.3052036068953, 350.52824934936706, 351.09591012647337, 351.82405644921568, 355.05650746224313, 355.26470817156479, 356.4068138631684, 356.48689210371344, 358.87554016757974, 359.50824144222736, 360.12919862144241, 361.36674676495522, 361.49613255923833, 361.74785801912185, 362.68539505068469, 363.56082766846498, 364.47359620711887, 364.51425415731217, 364.9259130265437, 370.34224325942495, 372.42666874678264, 373.49037468098368, 374.19253152105534, 375.35184398517919, 376.08902251615626, 378.66968862830237, 378.98603217744028, 379.14595137989033, 380.42515705931521, 381.33436785285471, 381.77480120418215, 381.84749824556519, 383.18663178869423, 384.90821829356679, 386.64737871637379, 387.25566640872779, 388.04171723945274, 391.42035421002339, 392.05921899103356, 393.94091037356276, 394.52586329447513, 395.50102693968688, 395.53767764931217, 398.73799634511141, 399.38265677385851, 400.13189653436552, 400.26546126815845, 401.73007515602814, 401.93533755794596, 402.108958929739, 402.34476889794257, 402.50421578472299, 403.88042737839839, 405.02566968741758, 405.70211138644981, 405.82653625675033, 405.89106090033778, 407.97819829591577, 409.30626023195566, 410.00329385471184, 410.91473602468506, 411.81828887974586, 412.95194904267186, 414.99116702264297, 417.48743649138976, 418.0699702836763, 418.19448139480147, 419.12982432963895, 419.43062879664177, 420.07806480363558, 421.12985269592446, 421.27563452035548, 422.9477128353326, 423.90601627619634, 424.15333788944565, 425.01736234158989, 426.5679796727793, 429.35739645915299, 430.70438695663609, 432.10765322039288, 432.98967595039238, 434.56609668333203, 435.50966004097234, 436.81881492339994, 436.91763620041104, 439.17260772262512, 439.98379961849378, 441.41224579652186, 441.88580703895389, 444.02861881762385, 446.74290318362262, 447.30682390152128, 449.80330343382019, 450.40285463462084, 450.77651019754296, 452.4455793139096, 453.07617326174659, 453.37563626419859, 453.41983705418681, 455.56187304282514, 456.52260682491146, 458.40047409915292, 459.14292155550885, 459.2809097723333, 460.79646996397884, 461.45532071913692, 461.84546218599178, 461.90061518657245, 463.83462964143263, 463.92179939220949, 465.35998790175552, 465.6397840482021, 465.93104890833035, 467.69466767778039, 468.37937020126446, 469.28174132880423, 470.23810779217649, 470.51922769854036, 471.38683883897249, 471.5824566767281, 471.66506366761138, 471.81223261381245, 472.50370239007441, 472.61929146531838, 473.1607228024061, 474.79347068858686, 474.9377758824524, 477.1637754553044, 478.57216133867178, 478.90849782423663, 479.78685043625035, 480.7436343175674, 482.21211524472562, 486.97123741252506, 487.16945942970779, 487.32485508841296, 488.40982775810249, 488.52558136552852, 488.72273341252395, 488.74335060921391, 489.2485726971808, 489.88978813305658, 490.65797171994831, 491.58761295268579, 493.79937639902283, 496.21132567610982, 496.95723161089768, 497.00512795887261, 498.56665073649094, 500.01480654220609, 500.51602340100328, 501.45116565826447, 502.42337284643418, 503.00717985488575, 505.55471023311497, 505.89504135710041, 506.60576315509553, 506.65140318423516, 508.66716325109178, 509.07503472742627, 510.42713053824525, 511.08536727370256, 512.43175272120118, 512.67110378816892, 513.77733128508487, 514.97375232244019, 515.36256429088144, 515.6175772664285, 518.54934031829839, 518.66733436493814, 519.23801531519405, 520.75629752404939, 522.70182875545959, 525.77954945974375, 527.79043664748008, 529.71631143664251, 530.80120928095528, 532.86654067123345, 534.29233355509564, 536.63188738349652, 536.90135701870031, 537.60908270872494, 538.92496344444999, 539.20529362676746, 540.60784295134715, 541.57694722987833, 542.47431413604488, 543.76874710931099, 545.06122322743613, 545.67983914566082, 545.92330062891062, 545.99813484438926, 548.98383699188389, 553.49894578365127, 553.70471704406941, 556.78526511630764, 557.09714491669592, 559.71500554701822, 561.08581247367817, 561.25708749856381, 562.26907000278356, 562.5180957024595, 563.29595142553103, 564.40412586114167, 569.08775776766936, 570.7079983842001, 571.47680162803545, 571.90827789240302, 573.55040711710308, 576.24212685159739, 576.65576957221742, 576.894262323818, 577.35596028000225, 579.071335540419, 579.52023568981804, 581.27565840203806, 582.25889822643933, 584.64664617946175, 585.40359083035094, 586.06560223603572, 588.00900752715961, 588.0983064217412, 591.70206135604053, 592.4102845960673, 592.63928204742922, 593.24625403539665, 593.35859048076338, 594.53025945213835, 596.12719737309556, 597.31466707302718, 600.20304048141452, 600.45681897381451, 600.97906403923423, 603.16285963146936, 604.86373487000776, 604.94845259192005, 605.72895563781583, 606.89191297316768, 608.86579526603464, 609.18340319425965, 609.30206810492291, 611.50651704732661, 613.44255324978633, 613.53446325122263, 613.78497580509702, 615.44588780685251, 616.06005718123947, 616.31955352849536, 616.49957608228692, 616.72881705813586, 617.94176967712804, 618.1232327252701, 620.76024928079039, 621.55630447648593, 621.69343891180199, 623.60623950614399, 623.67306210514903, 624.67750445250488, 625.305179327622, 631.32677449829907, 631.90088516409492, 632.37387588328261, 633.09143114180267, 633.44811110855744, 634.90878511977132, 636.78883080300136, 639.05648989678548, 639.35635759962838, 640.70235999046213, 641.12124122081366, 646.2251472921987, 646.49882891391701, 647.69006332323602, 649.98451399562384, 652.69627181226053, 653.61656382199612, 653.95101577341893, 654.90562116633816, 654.95321215162335, 656.91371594319492, 659.84854552283059, 660.06805642633356, 660.44794072626473, 660.6730035435055, 661.41383960829796, 662.35005916118087, 663.3039117561633, 665.17514433234214, 665.35481078285511, 665.77846543972032, 666.39909201428702, 667.54697277091554, 667.62795906666622, 668.75334613597624, 669.99974712219193, 670.44407089385629, 670.5511365018499, 672.18891526647133, 672.53478053580227, 673.99119196167646, 674.06656881179629, 675.07063429721666, 675.66097193323674, 677.13495981412859, 677.47653572689353, 677.65404547008666, 678.05057974922659, 678.57320504242455, 680.52606108066868, 681.44098105942771, 681.80693450206695, 683.19693372291476, 683.434194607623, 684.42261298173446, 684.87200132368775, 687.0267288657883, 687.39817595659508, 688.36943101836289, 688.40143159210413, 688.5800307751914, 688.75144243460159, 690.42715945726752, 694.46956723806329, 694.6086564151492, 695.96405264397413, 698.30544521351999, 699.54147566257529, 703.28183207168615, 704.36377489471317, 704.95678591932892, 705.34804307439958, 706.02879531789483, 707.38842216310206, 708.01373987057855, 708.39766819499175, 709.51240467494483, 714.02908648153641, 715.2492816228945, 716.52881313833302, 717.07577035193071, 717.67294717143636, 720.20794420257596, 723.00718896814703, 724.40531379879576, 727.11017140545653, 728.80324821866384, 729.90830531499512, 730.49323853398744, 731.52286327609522, 732.49877761438756, 733.31189640948151, 734.34280938438735, 735.20566415042322, 736.17293974810298, 738.17953140520058, 738.4258488220346, 738.51569013854407, 739.90602160857372, 740.01221867134313, 740.32600892564722, 741.67848364458723, 741.73644856030739, 741.96430903822829, 742.23026554325168, 743.42789618132372, 744.9856525972516, 745.77781860860614, 746.98821762451394, 748.87946602739066, 748.90857121133581, 749.05592734096967, 749.45437702768311, 752.6366405078187, 756.59331293584285, 759.57319632326119, 760.81883875601022, 761.35270510591977, 762.54434634209917, 763.59909906482915, 764.15847966220497, 764.58551638159543, 764.67815793423267, 764.90963602517036, 767.16811695240995, 770.4449560325877, 770.58079406889044, 770.60740299458382, 771.03965978904614, 772.08681935263041, 773.9066791701008, 774.32515636225662, 774.7087785426736, 775.00784329760631, 776.62755180269176, 778.14919649155752, 778.26521883876501, 779.37452737155559, 779.66096274930601, 781.49636969879316, 781.70901152290958, 782.91244453848583, 783.19432052845957, 785.75059056875853, 787.2142353672491, 788.05841820978299, 788.13440190828157, 789.03798213837797, 790.64366968201341, 791.97573598799534, 793.35912655760751, 793.97092376100045, 794.69550398094987, 794.95231724024904, 795.50983048213209, 797.58791563153329, 797.84094449804979, 798.37302154658175, 798.62795202487564, 799.85830121220238, 801.59991838127996, 802.25461428909603, 802.32618655565636, 802.5322776635378, 803.69460746301945, 804.14301551589062, 808.22874102102821, 808.65599456752875, 808.67811326529181, 809.67893642060471, 811.38624241892239, 812.54057524959796, 813.18111821500463, 813.206457279701, 813.276449619912, 813.71701265306774, 814.79294903701407, 817.47896664130303, 817.57723463576451, 819.10337017003246, 819.21739690768254, 819.35102677396731, 819.6679638532263, 819.82059626767364, 820.56821662560299, 820.8461347514085, 821.31106950821186, 822.09329192219809, 823.01988412717685, 823.11455956491022, 824.84253537965037, 825.09555452498626, 825.12012496240357, 825.15888822192164, 825.64227584818866, 828.38723202185508, 831.09533579919025, 831.91819518234831, 833.59591523666916, 834.0653772059743, 834.4000969791698, 835.10547342089455, 837.22573022159486, 837.37920136848084, 838.0748220321243, 839.35783229316951, 839.67962640592918, 839.82286092481206, 842.18104000264555, 844.88601317668156, 845.62724899697207, 846.29057700621843, 847.94892032620282, 852.16928258257531, 853.10460483111467, 853.12855571830346, 853.98150772140991, 854.03922601036345, 854.17534479669621, 855.19580296069398, 856.69446174936581, 856.84462606105353, 858.09878901966727, 860.58180691935786, 862.39640065614117, 862.45469883252963, 862.58720886657215, 862.66317401495826, 864.09923802289131, 864.55378812622143, 865.44018834912629, 867.19086697361217, 867.32512849893601, 867.59322372749989, 867.92943450170014, 868.21581065351529, 868.28358916895149, 868.33279732686594, 868.60928161538914, 871.01099687637554, 873.08270993798419, 875.65983890795837, 876.14257091819081, 876.77032809440664, 878.7660510873859, 879.44804693270532, 880.84287040648292, 881.10406841461202, 881.68732744790213, 881.87772605454302, 882.23905645304148, 884.63903219961048, 885.40943587107415, 888.10994517318295, 890.85968378705297, 894.33450383028435, 895.99292191346115, 896.98136256111786, 897.13839805814621, 897.96807035009363, 899.74865137623499, 899.96586496282976, 900.12490807011443, 900.23533448523165, 900.61704855090795, 901.21631384501541, 902.13357592388638, 902.61376114273583, 903.00968522346579, 903.6121722681338, 903.65857871168009, 903.932179566473, 904.39987186720202, 906.24529320702857, 907.13309342535922, 909.57562805856912, 909.74505326460974, 910.34874690667073, 911.80889089283482, 912.52176060702391, 912.91071429781948, 913.08632588412547, 914.00856374998409, 915.30833367359821, 916.61234505020423, 917.67302556447987, 918.17322346918161, 921.82049228431492, 922.04242727816563, 923.45371646927811, 923.92893044431764, 924.62010647911643, 925.58216044983033, 926.55147946911814, 928.50331791645613, 928.75552492243969, 929.62452131866542, 929.79561047628022, 931.12040785701015, 933.18625018524108, 936.61987270611132, 937.94818964814806, 940.81285353880605, 943.66655982857299, 944.92875126618435, 945.40477255049325, 945.82793101753816, 947.28625941173641, 948.75665875617835, 948.92623717822141, 948.96255212457697, 950.99717528473116, 951.49423796210169, 952.77442483234495, 953.07375492119161, 953.22272433871456, 953.99532823847653, 954.1226142860628, 954.20762522892176, 955.46093277628734, 956.00065549340354, 957.78514702879897, 957.85308487622376, 958.82654119170081, 959.14436680018207, 960.12383927723192, 960.42331564060453, 960.70236828766247, 961.19542228711714, 961.2394455528563, 961.92122866577699, 962.7178115564011, 964.09089995336569, 965.34756781188639, 965.95573973914088, 967.89406369557662, 969.98462816992014, 971.08085525245281, 971.4852402060136, 971.58248889537265, 974.81601143290129, 976.03822022460884, 976.0683339457895, 976.19894249823233, 976.30421593907602, 976.64899526268243, 976.70733777210035, 979.43320745903384, 979.72600334197443, 981.18331790378329, 983.99750257804942, 985.29281945759715, 986.04162198939878, 988.90142438363409, 988.98639327201329, 990.11515120372701, 993.53797601576832, 994.18109948176402, 996.44813782772803, 998.4557769204531, 999.36555315391865, 999.70635507474174, 999.84192467203854, 1001.1818398593367]),array([74.400095275684919, 75.782234399430649, 77.026677855787156, 77.947423105517217, 78.351809603489912, 79.274861898884836, 81.254030204804849, 81.295887822561141, 81.683264866084983, 82.406730190481682, 82.616068893895317, 83.347473562006755, 83.646369725599186, 84.599968379635541, 86.405357753174187, 87.069684194357976, 89.030006270635056, 90.138545722450388, 90.748409696440646, 91.083777912324507, 91.728023825428991, 91.918511920819128, 93.571478785692918, 94.083350727673547, 94.775697072953193, 95.873048552704574, 96.636007924421165, 96.849010989447478, 97.048031503387364, 98.57675373483076, 99.461438168461669, 100.63681668232722, 101.46913310211657, 102.17989736588139, 102.75418969740419, 103.60773200229866, 106.0945848069241, 106.25023601691417, 106.35899153114806, 109.10889395307832, 109.46953222514796, 109.70456754144075, 110.22078098828808, 110.90802772468155, 111.87744698011608, 112.96536647308835, 114.58143078814477, 116.49656082110488, 118.10816273564214, 122.92420213957335, 123.00723767013719, 123.49549043768872, 123.64870689672796, 123.90098792908761, 124.72014135562317, 125.04424910327445, 125.3039181648174, 126.4307946321773, 128.99206999248437, 129.06460559990259, 129.33830001898644, 130.418804215596, 130.73124460183848, 131.26871859855902, 131.9691718772653, 132.00166820199388, 132.15779242927871, 132.56312511651669, 132.84307881667169, 132.92967877649804, 133.39677569958707, 134.22171457282514, 134.61169065960323, 135.2798155904598, 135.46375825040957, 135.98517570056484, 136.2313817674995, 136.89718233459431, 138.73624397104891, 139.6375333692433, 140.25966832238041, 142.2542747426792, 142.43802907804988, 142.78182640203724, 143.33478865098908, 144.34764252555772, 144.47083552149056, 145.03854992253147, 145.18258711881043, 145.35526603679028, 146.17272531542255, 148.56186905437607, 148.79282849490497, 149.27541584864616, 149.6385135229454, 149.96142806082469, 150.19083809165426, 150.32437803209791, 151.07867162053955, 151.39790730974829, 151.59492705332656, 153.40445392773489, 154.17179076367671, 154.50457415352489, 155.04843238525518, 156.63993385523685, 156.67382732826658, 158.28689936528224, 158.8364863412001, 161.82974234204519, 162.90353593741688, 163.38874690280795, 163.82806978541541, 165.3787661940639, 165.47781813344571, 165.87804306634766, 168.11269929736807, 168.18498483050479, 170.04588366804327, 170.97281905039964, 171.04064076627554, 172.46581307391205, 172.68626126097905, 172.78501748737094, 173.64280139036336, 173.85567557777864, 174.08932516131438, 174.22849995137241, 175.59702532427426, 180.32177703500543, 181.13444527558619, 181.18264180977616, 182.31886939135933, 184.12339900606827, 186.5590032275891, 187.72138759229995, 187.75216770386177, 187.87397105738523, 188.21493727763195, 190.38768569161761, 192.22303844979129, 192.38004701556204, 192.4688068751056, 193.26477110933104, 193.61524272520001, 193.96093043331877, 194.12460191555857, 194.87871809803943, 195.71685930890609, 198.10338538444969, 198.87817635058735, 199.42609120465752, 200.19603403885253, 200.71966929959288, 204.90980838429093, 206.50411772804313, 207.50634436393031, 207.91681530911015, 208.3770863809639, 208.58776189830189, 211.09670989127633, 211.33019234866765, 213.25099600192033, 219.24199399474705, 219.70810472587348, 219.84257585204793, 220.34898628794704, 221.72138082393954, 222.14442961692762, 222.43217364803462, 223.85285752307422, 224.00960874823105, 224.60493607405738, 224.91264912264705, 226.09596082124304, 226.64775696249384, 227.41256469103294, 227.55162572164605, 229.58221407153667, 230.15315057632137, 230.21506205884197, 230.90082015389453, 231.55242443991912, 231.87136013249869, 235.08630187189615, 235.19128606940899, 235.50796534395852, 235.56466934666634, 236.42170816903504, 236.5281169370684, 237.03587437398119, 237.90020477208142, 239.5131571917801, 239.56500406136675, 239.75039738961033, 240.22978800986613, 240.38190414346641, 242.47103226706233, 244.15515162932354, 244.64149710406929, 244.89595871028251, 244.96462808895774, 247.10424193703398, 247.12958705665568, 248.54417822633619, 249.21378179653621, 249.4458819014846, 250.23943509312485, 250.50634950177448, 250.86334747896476, 252.77703135856459, 253.7856084689989, 254.13894197191391, 255.24395745287822, 255.68992707563868, 257.48998155527272, 257.78328853705239, 258.50076810718679, 258.5235422812753, 259.88897029208255, 260.17666541629455, 261.47247458049674, 263.89151436641578, 264.59250983116601, 264.98454587423367, 266.36161676863469, 266.89856278648989, 267.25271776904117, 267.66936492222567, 268.0665963682705, 270.93399558001641, 271.24651366321984, 272.57219632860318, 276.86037714124791, 278.09553783088313, 279.60583137264547, 280.63271540488836, 281.71966356691252, 282.36049493042947, 284.26642648940225, 286.18280538717244, 287.90439067194512, 288.6424761146543, 290.21632530334142, 291.78655566728582, 292.61104970128139, 293.0716355224954, 293.44568443908577, 294.37056149188447, 294.86059352491617, 295.20793507261783, 296.40023601369512, 296.46644095953371, 296.83096290951784, 298.70100877355503, 299.37660237464308, 303.55839758375106, 303.81335405924858, 304.88244801769497, 305.03686542055902, 305.49966283333441, 306.68643107826711, 307.55513460064253, 308.29943482396465, 310.69075373295868, 312.92619185861082, 313.21288853923403, 314.98308915010364, 316.89435626558952, 318.89181566877613, 319.62294516170999, 320.39986034623985, 321.22795418779162, 323.11986922851185, 324.32671586111593, 324.56033179991806, 325.47762460442817, 326.30932526622843, 326.98799393597011, 327.98752311377319, 328.11801856164055, 328.15611578663641, 332.31511395454936, 333.06337065414442, 334.74479874669146, 334.94030501216361, 335.46530023484496, 336.14177034355515, 336.59924251378908, 336.68521538270289, 337.13525565157727, 339.46175943563492, 339.49589481688645, 340.80563785884175, 341.18233044411375, 342.52238025695652, 344.34543966783019, 346.07077761489029, 346.82625870569854, 349.56085879989149, 350.77626353830362, 351.37575779056539, 351.62954762460862, 354.50234565148008, 355.20727230953872, 355.72999258808858, 357.75977949037355, 357.93873103852496, 361.02332036104497, 362.28960472230131, 364.70817345621629, 365.08238900144545, 365.82197264883126, 366.61921784961737, 366.70954854608914, 369.04668169774959, 369.49223032776325, 372.28807818568191, 375.26621513979063, 376.99805476718683, 378.12305655000836, 380.48415542002618, 380.95663106460165, 383.21736197487036, 383.26814534138202, 384.73257896776403, 386.53471155636299, 387.29289667830506, 388.58539993186048, 389.52448688087014, 391.18725075946145, 392.6937565446998, 393.26482559852661, 395.94550274762565, 397.38457956696379, 397.78687540262069, 398.41511579861537, 400.64133531445856, 400.91511902477868, 401.53864005996792, 404.10889075750936, 404.64200930109121, 407.74992151884908, 407.79032560378721, 410.09838734113021, 411.53867436133288, 411.77117833027302, 412.00263553096613, 412.43577707564958, 412.86318211283532, 412.89319741371054, 413.06170036721829, 415.18268841601287, 415.71660641717443, 417.56999461510031, 418.09839445076148, 418.68173430011291, 419.44280745059768, 419.54902455019794, 421.6575924364825, 422.57886842244307, 422.72562304024837, 423.05778418699271, 424.71852176074128, 426.39685211475432, 428.41453146812853, 428.99626677376671, 430.84696497885949, 430.87403829270227, 432.14452851808295, 432.78202207872755, 432.88343436603787, 433.17472301633205, 435.57102961304133, 435.73266355831174, 436.04002912390456, 437.09579436753489, 437.17895141814711, 437.21827805456297, 438.37668360392456, 438.69313274559067, 439.18463973189188, 439.31041014864672, 439.92028260350702, 440.38379785551564, 440.7958159684548, 443.33601387089283, 444.19283537690649, 444.72816212489079, 444.92349120545009, 445.56030014658478, 446.38192934690176, 446.53695688363229, 447.66280714120256, 448.40391720804911, 448.93162863065606, 449.44199147601967, 449.68821005490815, 450.15172878048423, 451.60019779147035, 453.68322565915065, 453.78612397522318, 454.5457933599248, 454.7821823646666, 455.0711120525487, 455.90124907548653, 456.49814438876905, 457.88783184395027, 458.00476853065754, 458.53059724670749, 459.33016333676272, 459.65046053493188, 461.54268122647562, 463.67743443358, 463.77738812232849, 464.96985216850481, 465.14916970669384, 465.31981334637806, 466.06318950078759, 466.18417535625235, 466.98161772143652, 468.07899636796247, 469.08789561840302, 469.20045399482541, 469.95303080331473, 470.88757324298058, 471.53949189704474, 471.75771816823067, 472.07992116877188, 472.32165048294195, 472.90838906870101, 473.32730037165544, 474.08971892982515, 475.94300849225004, 476.02825109917575, 476.09168534275403, 477.38362968001621, 480.19758418518438, 481.15396156753627, 482.46697169864944, 483.78178075976939, 484.77014753479631, 485.50403391072564, 486.02228432615664, 487.11000704017982, 488.74588294429145, 489.29105276760055, 493.3810375452216, 494.02988116400155, 496.28621085744163, 498.33609469868418, 498.76458640491347, 498.92005116496608, 500.35088045365711, 501.09980798506348, 501.48049309812689, 506.78674507251031, 507.03888141968383, 508.19838575455225, 509.29397724284377, 510.00055161463149, 511.29255293885626, 512.24533852267518, 514.93932637573505, 515.55148367175047, 518.32036958702952, 519.77915815748611, 520.8604888499342, 522.54736926149326, 523.02180466122161, 524.61363049796114, 524.64830034417662, 527.65059416605573, 529.03749314791958, 530.48800660390805, 530.81883582537102, 531.23152362542453, 532.86192393560964, 533.98909233954475, 534.01306947994954, 534.74077592828564, 535.82206984057768, 538.46840456795042, 538.84070035232958, 539.58750598150903, 539.69072875456766, 539.74221312768827, 540.68485727578673, 540.81362826408144, 542.69799992927187, 545.10588618961037, 545.77265131286822, 546.9906308689666, 548.20030951913554, 548.64386070552735, 548.84102532705617, 549.61810769590238, 549.96283351161969, 550.80147305588639, 551.63946019658397, 551.78323045245247, 554.77011949676694, 556.05990235289403, 556.41826258389403, 558.21213313698593, 559.63834557796201, 559.77794159591838, 559.96233966728926, 561.33852521319238, 563.23676623376673, 563.6545227766544, 564.23579665548721, 565.16321247760959, 565.46744740916199, 568.83993960592841, 568.87993073256121, 569.31051641096985, 569.48477022824352, 572.82938133889434, 573.17998720180242, 575.30135953970876, 576.58589910794137, 577.00003141109607, 577.12314146161816, 577.33746821737634, 577.57650560157776, 577.78017390472428, 577.8732359662356, 579.2997059512785, 579.7811746144954, 580.540685058897, 580.89729682710038, 581.19550956441708, 581.29385855988301, 581.54860308934894, 583.04555829810397, 584.13963557172031, 584.29940339950213, 585.14356354949086, 585.17648216565294, 586.90311745971383, 587.83534739095342, 587.96064957006502, 588.9183768119791, 589.8534309331734, 590.11613348243611, 590.96966477872581, 593.34451207296809, 594.08571217546933, 596.2130911438361, 597.94331976342369, 598.1959905971737, 598.82811927654484, 598.97045022569262, 599.74453043796575, 599.8631537742109, 600.44225394226839, 601.31354676067849, 602.17304072629088, 604.07108005482428, 604.9524375735798, 605.35126525023065, 605.69230246793677, 608.97743402399374, 609.52574957315062, 612.58783855825652, 613.1227280142316, 613.57701170749158, 613.66508957043322, 615.58536889259176, 616.7045536453071, 617.0854158740226, 618.58239613412559, 621.40319139246731, 621.47502465775335, 622.22009996530335, 622.39712993968453, 623.63694257290467, 624.54248850875354, 626.44184191434897, 627.74828892951427, 628.68375194892189, 629.1587650692943, 629.73941326386353, 631.89868358650153, 632.05711136491482, 632.43571203422982, 634.47627775703688, 636.78541492508373, 637.45843005357676, 637.52487581931234, 638.00427139540636, 638.13476764656161, 641.70102364381387, 642.15726820220152, 644.31186377543986, 644.43275862313135, 645.79869594425543, 646.39090279750747, 646.71067045369011, 647.50628132620056, 648.49785837010722, 653.76227081642935, 654.32698102517168, 655.94604299586831, 656.02479046792644, 656.28637239744353, 656.38067814277122, 656.42954536740774, 657.52822771748356, 658.12203185267197, 660.3283615431119, 660.68091848142842, 661.0977437620528, 661.25964158499698, 662.83459180712191, 665.04928237778574, 666.53602959501643, 667.56621110418484, 668.23033274544548, 668.69918178500438, 668.97590319390065, 671.63314238269243, 672.19225288458676, 674.307013118133, 674.47738545706306, 674.60578201193221, 675.02668008890987, 675.26292449643086, 676.41485662538673, 676.83003664357636, 677.88143027148215, 678.73791659510664, 679.69978368833426, 680.47218964773936, 680.53795487719833, 681.39978642164294, 683.05272135970688, 683.56249923125824, 684.34670348856855, 686.46585272760558, 687.28162111626432, 690.12496404171418, 690.49256538221118, 690.97924890695538, 691.82523347429355, 693.73047466270157, 693.98520061287513, 695.13650764148417, 695.41965300487993, 697.00688680379426, 697.97180993940935, 698.46935464145156, 701.5715401346356, 703.26287751541838, 703.67764965383435, 705.59739579127995, 705.77877375807986, 706.42568448943803, 707.15812164026283, 707.78013589435898, 708.74012707860663, 709.60249816133489, 709.99839191510011, 710.77445222347569, 711.61087522090793, 713.66728896532413, 714.75888339414666, 714.78225809388448, 715.04256101817282, 715.21881468393917, 716.79470023735075, 717.00807899922825, 717.13500806463401, 717.46917098927736, 718.21448321325488, 719.95677539318422, 720.73260409753084, 721.12145358774319, 724.07627135452253, 724.98456296058782, 726.2916710353295, 727.40989946863556, 730.68673754618885, 731.17181606026247, 731.72686711570486, 733.51835333686415, 736.66203247018439, 737.10192556572849, 737.24594363777669, 737.9091970541059, 740.86298407896243, 742.55737418498552, 742.66854685707756, 743.10946664594678, 744.64312747980864, 744.85894196750485, 745.71594178397515, 747.13456251192088, 747.16390176365337, 747.56544466813705, 748.18990651366641, 748.60977147312713, 748.95661115034181, 749.92204922937583, 749.95455484570732, 751.06341247723367, 751.48807802581644, 751.79622823165869, 752.7549846096872, 755.67507513664157, 756.57493129620968, 756.7764021450314, 757.10024993670868, 757.12164053019535, 757.66534722414315, 762.49241881821604, 763.25430037385456, 766.72843998747123, 766.79871669842987, 767.49565473693065, 767.78662230962971, 769.39344042246285, 771.11890197031391, 771.63593993031725, 774.97679488497977, 775.11779401423928, 775.96768603313569, 776.33249600055194, 781.67247644602935, 782.33738491252677, 782.68489965170079, 782.92204025161527, 783.62347652321057, 784.06005206257691, 786.55571457945325, 788.06615820408956, 789.49891300858371, 790.32108462107021, 791.39066572070158, 791.83463737049783, 792.65001637982073, 793.48506778198134, 794.22561408486877, 794.89091260223563, 796.11828672510148, 796.77905499268411, 799.32904165225625, 799.7868317657194, 800.42269344670854, 800.72861617776925, 802.10641626752238, 803.95038896315396, 804.13344972736058, 804.87526876249956, 805.08560612672954, 805.22261720340396, 805.50952169939114, 806.77988287685719, 806.95363401857344, 807.52573042736617, 810.05156356759471, 810.25234849728304, 811.57331406044216, 811.61928233133608, 812.25698426024098, 813.18892076189036, 813.48159259542365, 813.88767917588962, 814.46069980287598, 814.967889788158, 815.07869622217913, 816.25171244910371, 816.95649919297966, 817.24937289513468, 818.16807692496138, 818.43619345548132, 819.98923298167006, 820.11249692016349, 820.24181991333569, 820.281423550309, 820.81465527492821, 823.3999396231336, 823.90265308247751, 824.46790057556893, 825.10137995862021, 825.82608458139975, 826.59556069821019, 830.15311883030404, 830.50284716817953, 831.55140486683126, 832.76373318282276, 834.36755943746687, 835.18797263229726, 835.61273215220183, 837.70604415097216, 838.22482990181823, 838.69603028826157, 840.91251965172546, 845.61895122331987, 846.06507121185723, 847.8549475808951, 848.59364278908822, 850.43283809630123, 851.22994352324895, 851.3341517261124, 854.42144404388307, 854.61948947709334, 857.36211560693459, 857.74725910780728, 858.81156826344261, 858.92455785102311, 859.0606441459272, 859.25788416652506, 860.15613215565577, 861.03080166623647, 861.11012433727262, 865.84184700058495, 867.96558829420712, 868.27104021822618, 868.91644067450136, 869.47136698897259, 872.77098745438991, 874.15210317356673, 874.22851965936593, 874.35718180242463, 874.96068697372664, 876.833077541992, 878.55547672021612, 879.43973105268344, 879.54245656765943, 881.17502167262501, 881.38699000921713, 881.65093910828807, 884.37938401495637, 885.59371136507048, 886.23692697206684, 888.74549478827021, 889.79764034372522, 892.08262783884732, 892.12959090387687, 892.302749168952, 895.62499967227825, 895.95216878018323, 897.37454834252765, 899.54358537131122, 899.88560961392602, 900.65097671684714, 901.21154169430451, 901.48243765296502, 901.61381274518749, 901.67665122552683, 903.32124846772319, 903.71109103692424, 906.00575618705807, 906.19216350101465, 906.5536346994254, 906.67857689172888, 907.68153682933962, 908.66657722046557, 909.07107065248783, 909.47255194459103, 914.49796336681095, 915.25431370397325, 917.24682769762751, 917.84767015110492, 918.27219369619195, 918.39774727668168, 919.66730809631383, 920.74811098338125, 920.81580320279966, 924.24616471219383, 924.61762727226699, 927.51457211808804, 927.7525711615724, 927.85349514917868, 927.97022487166316, 928.82786412384496, 931.6011630396797, 932.20763441940085, 933.48119817511679, 934.01021308378381, 934.15725002479894, 934.39408852883867, 934.79917985111979, 935.21169366511504, 935.33749397512133, 935.47686784639075, 935.88529095624108, 939.5627388269005, 940.23392182203838, 941.05916769837643, 942.13064960319696, 942.90234383779159, 945.35379620597212, 946.71452746282614, 946.97048381693673, 947.27985805590981, 947.45238274714734, 947.91834259022323, 948.55999757720826, 949.95135459866981, 949.99317394644595, 951.5959571816129, 952.95827901126779, 953.31484918777699, 954.08070111402355, 956.02125056734258, 956.23693737693793, 956.683758195471, 959.59429296434439, 962.32848044223192, 963.39807704440796, 965.4352408441963, 965.89024263702129, 967.25978082359995, 967.9299218462462, 968.01737740098145, 968.80002069922068, 970.5192454527355, 970.81179827024334, 971.05871557850185, 972.19888013355364, 973.19595093662986, 973.38627255990048, 974.41568751947352, 977.14349562657299, 977.56768712919029, 978.78448576718938, 979.42419772865219, 980.02421756272292, 980.87168025950848, 981.46562036262674, 982.51975718486517, 983.59448524103652, 985.74134688819458, 985.99972655879094, 989.12144961540662, 989.4791044579905, 990.02661782661642, 990.54686031511005, 992.51109532367786, 992.82143366391767, 993.83367631069564, 996.94093067802874, 997.07825413025603, 997.26502853467298, 997.72011022028141, 998.32249881983728, 998.85131075118852, 1000.3213644848356]),array([5.1667010038994761, 6.0617561641089521, 6.9459450114550583, 7.0078888517629627, 7.4803812189799306, 7.8522595297114712, 9.0157286514824762, 10.26419626415465, 11.169000588252224, 12.360319174688794, 13.176203899579031, 14.106805175520147, 14.221121478833004, 14.900925479196998, 17.756225490048639, 18.204799227066655, 19.211442789831338, 21.607352790340421, 22.427610597938603, 23.086631494146197, 23.145544062362312, 25.45669975497924, 28.024170978721415, 29.461736757735306, 30.567244093435939, 31.448979490644255, 33.695354371376126, 35.074374716520239, 36.678311357292358, 37.942683647528931, 38.122221989136236, 38.31373942891242, 40.457322349251029, 41.341532765151776, 42.913089165427792, 43.235118109449189, 44.559667294936943, 44.988828062099259, 45.188632698491908, 46.872836466052227, 48.282550951930681, 48.776325794549528, 49.177094189207018, 49.276755636664944, 49.794047149042278, 50.04150117123686, 51.470693236643299, 51.726507076287199, 54.522346933353354, 54.841289721737148, 55.545428796120596, 55.821370496152916, 58.302197556729212, 58.971414626833287, 59.806376753082652, 61.466377742132451, 62.027672201877877, 62.944681907073054, 63.935911080098322, 64.014714923284217, 64.368753961312819, 64.71566858567607, 66.301640559710606, 68.135204985288368, 68.376210514153286, 68.477582540120309, 68.709413948117785, 69.24244724456328, 69.58602005029266, 70.536217302790945, 70.785692965024381, 71.370204028844881, 72.728358869322093, 73.077579449730848, 73.599770878688616, 73.871172283660144, 74.826039266486589, 75.426720960981939, 77.320755177983401, 78.755977571346776, 82.804744405562175, 83.024993122867741, 87.097756035709125, 89.940679208029735, 90.275905075088531, 91.526264116037936, 91.979032237372735, 92.303431652492137, 94.521647223982768, 94.989273988894084, 96.444418206516275, 99.418261550647287, 99.485470008908734, 102.84886972631507, 103.0742517923948, 104.66104097683387, 105.91678070230226, 106.73093008961783, 107.01786400142488, 107.3116947937396, 108.84149292584276, 109.23798645510476, 111.42378979572864, 112.00739872134228, 112.67199920931004, 112.80760357127652, 112.94820043714348, 113.79418542815921, 114.12148090473951, 115.58397543858624, 116.07572431739129, 116.70433713327557, 117.57523777522083, 118.01069430517248, 118.65451741679017, 119.80130156872605, 121.7807802325451, 123.6999045167906, 123.99967445785552, 127.45697821642194, 128.39357520276531, 128.98490621561371, 129.1720125031859, 129.75579681009239, 130.3058173404622, 131.30630425956932, 132.28878652373143, 132.41405669466914, 137.16302165987332, 138.9476848283789, 141.62168881536451, 141.87375998932387, 142.67796087883136, 143.4967978392028, 143.87533950619346, 144.87829997678574, 145.15066229988301, 145.28282104227219, 146.0089680910979, 147.79962206159763, 151.30683830773214, 153.44805105408076, 153.97361851617728, 156.66318233533315, 157.87098378411957, 158.28163787479329, 158.59197528873221, 159.06339793338881, 159.97030561473485, 160.62819133184939, 160.69596684528952, 163.02641372551082, 163.51077209163648, 163.6427743968255, 165.28843747697906, 165.79155944845866, 165.90864095889972, 166.22196802065082, 166.27556981554375, 167.30872580880211, 167.63196337450057, 167.94151289121208, 168.7992551103975, 169.13493519870744, 169.42570323583922, 171.07276564521263, 172.02548296982593, 172.66111672754374, 173.11611202950209, 173.78803796893393, 177.02264579516304, 177.20169610821213, 177.6368774241441, 178.92507922572881, 179.38027109092502, 179.77733777358276, 180.31799055336094, 180.4961621358203, 180.7213591150761, 183.40105856509626, 183.72172359455033, 186.05131747890164, 186.22120487645284, 186.36551296276082, 188.33595740790881, 188.67109905219405, 189.72608513290086, 190.07819813772159, 190.39103158721693, 190.54194691270592, 191.22056697532835, 192.67219392042611, 192.89453449686042, 194.51015049673421, 195.10997916126718, 195.18533940280062, 195.74708081569798, 196.39676074117534, 197.41362945896978, 198.07019993497994, 198.52047133259418, 199.56332418312132, 199.98916039888073, 200.05904402057294, 201.29833134642362, 201.32158577044822, 201.97935272611707, 207.96508825508513, 208.19811822861138, 208.60340128081731, 210.61712374622198, 211.85105011817924, 214.38067235627017, 214.67233268792387, 215.13812111495335, 216.68020148830877, 216.9913421246662, 218.57748548290712, 221.20766051189739, 221.5844241128413, 221.96397745725116, 222.23591681232773, 222.26585593085252, 222.50488581813718, 222.85357123791516, 223.27045162805376, 224.1072895366415, 224.32226273803403, 226.48220912699253, 227.72322279447567, 228.63187666587331, 229.0212461248592, 229.22562968937794, 229.33248970354506, 231.11637808144374, 232.30297035780831, 234.93400880416863, 235.42964610221324, 236.07844824165323, 237.33665111692619, 238.03500350761024, 242.03997897561794, 242.41740122378633, 243.13294658467132, 244.19592899701561, 244.48268497805972, 244.90209069616841, 247.56414201023267, 248.25599619625123, 248.66237432568829, 249.71020985032555, 250.65553584755426, 251.5900457706102, 254.20568603568688, 256.08526145396553, 257.40350112586572, 257.5138596237544, 257.62185115485914, 258.92004670141409, 259.26576009767132, 259.42644470540262, 259.57905830120603, 262.18332209053449, 265.08054451590675, 265.84424811098859, 268.69256351392011, 268.9057300716301, 268.94692889479433, 270.41019609440377, 274.08613096001631, 274.66768097522078, 276.31850036547013, 276.96195908704061, 278.30082158421186, 278.90297331203385, 279.60606920562424, 279.67500897400924, 280.30731256246645, 282.53297336633557, 283.73657327128421, 283.99083282832709, 285.05033730090787, 285.09960494080468, 285.33957186977102, 285.59169202207119, 291.08956397101821, 291.41691452952989, 292.35358268968986, 294.68523140947531, 295.98813577791952, 297.70670787532288, 298.66725654878917, 300.25374829456115, 300.97826269744257, 301.33383028629788, 303.89311992735787, 305.10648302234341, 305.21259397555934, 306.8720186273577, 306.89809982157124, 308.80775948912702, 309.82997713977505, 310.40449125052135, 310.89544719321657, 311.19786227298727, 311.49350694310164, 313.62750069806555, 313.69676800189313, 315.54147023569641, 317.80775207373216, 318.10258124491196, 318.39972081930102, 319.10680138325603, 320.55384047148505, 322.59288231562027, 325.89526837088772, 326.30651574379925, 327.18875206936178, 332.41042459638635, 333.48902504596077, 333.73049449035233, 334.68983266157784, 334.97777012426587, 336.10618058758871, 336.23046577483404, 336.32885442587485, 337.37354298847998, 338.22311300573045, 338.94773967005693, 339.16420571702542, 339.8196670734834, 341.20223814091713, 342.74114546622957, 342.97922294946682, 343.72743534323621, 344.10486748753294, 348.75116525550237, 349.44209860652973, 350.27434057857482, 354.20504733810179, 355.92672339567292, 356.06208562639438, 356.85928878108604, 357.80887596971706, 359.95023294019364, 359.98615433508218, 361.93624483240609, 362.41599679302311, 363.84052492776419, 364.93077633521608, 365.0678276546422, 366.69281990250948, 367.3928763989046, 367.61493544891039, 368.07091241926349, 369.27055816255773, 376.01347142978875, 377.63733290285609, 378.35571268925412, 380.47279904603215, 380.54979391292005, 381.83323954765609, 381.94522242279567, 383.72951058778182, 384.28353088625022, 385.69174448997518, 386.34463435427421, 386.38094379055519, 386.45275543572444, 387.09627928931531, 387.25155083747939, 387.43015255749918, 388.91890932301806, 389.05097062437778, 390.81429396086935, 392.05927045023765, 393.72813853172124, 393.75318340907137, 394.75795207208614, 395.32908091363066, 398.07584059822864, 400.92454133910337, 401.02309825995366, 401.97380615966637, 402.2068889582664, 403.00537395938852, 403.70948863399821, 403.75544725693493, 403.84185655172331, 405.34235019918867, 407.51455490540371, 407.79258598843705, 408.01658239431163, 408.0375251953854, 409.24753738065215, 409.47842920886308, 409.77023219864645, 410.47908308577229, 411.70256208988718, 411.89353880397437, 415.58403801046768, 416.95316423813773, 417.14652242852151, 419.28325289631579, 419.35014309871252, 419.39632123591298, 420.57555285463764, 420.79145668268762, 421.73197860606604, 422.82843243325004, 424.58183773224874, 425.09300462522685, 428.98831513338081, 429.62440225723037, 430.02857275774397, 430.10682775724661, 430.89065795586299, 431.12952668939084, 431.6603249724385, 433.91324810436026, 434.02313823777598, 435.04840569452602, 435.42034397829991, 435.93977464529866, 436.31986802892516, 440.00003668434721, 440.36527692219448, 440.44696454996517, 440.88259164593768, 441.18613388815481, 441.49318950774108, 442.41584902623958, 443.91788833007894, 444.86386510502604, 445.53669896896753, 446.37286141596189, 447.42566889697093, 447.58630670769469, 448.24644236039649, 449.30163072949676, 449.51443360997706, 450.18515912749569, 452.53013810044109, 452.7854372150743, 452.9706685244617, 454.64779099488834, 454.98402533339424, 455.305297306451, 455.37370978317063, 456.25928479416274, 457.71391522930242, 458.00354989012118, 458.29892412067369, 458.6510890320921, 458.74802588917879, 458.95555459814119, 459.92185678028795, 460.14829660374642, 461.12168691040807, 462.12574159376362, 462.69117270146484, 463.84755831860252, 464.60194211045581, 465.73461882334124, 466.41841091862602, 469.70696150091675, 469.92752541798512, 470.14439524839366, 470.47012755578959, 471.97099113864431, 473.22680506875253, 473.480401429697, 477.77855946881903, 477.80209632936953, 478.08221461807585, 480.48923005449848, 480.78852074571364, 481.30547692090539, 482.35936468248815, 482.60408276791941, 484.01174198582936, 484.47998992562873, 486.00475909853776, 486.42055472837836, 488.30757789980635, 488.87721385522417, 492.28298367897634, 492.47570147408743, 494.48536007537035, 497.46088782449903, 499.60188835429818, 499.96323292477683, 500.10627159475587, 500.79812368756774, 501.22410479723175, 501.80307400202878, 501.96706002539776, 503.44508652663723, 504.54015252100567, 505.61008899395563, 507.10937365640712, 509.43466104142465, 509.85989753298452, 511.61285498673163, 512.91715701156431, 516.67890058168916, 517.13505124662879, 518.7755652225967, 520.08521668673336, 521.20343916802233, 521.25425605655732, 522.5255604042469, 523.12168686823395, 523.82458393045886, 525.16820952181365, 525.96247186229084, 526.2059307073954, 529.48102418796657, 530.06395540888423, 532.14764079241979, 533.59507138919673, 534.51715999027374, 534.74381454486377, 536.64267557362041, 541.15873579582899, 543.9754945265463, 545.4375678946941, 545.46230974276739, 546.37214633291205, 546.66815762854333, 548.94147648825947, 549.64891686715339, 551.90328584220322, 552.16900368755125, 554.24482408840856, 555.72771747804177, 555.93839329911066, 556.25819731558352, 556.87661180541238, 557.7128969302297, 558.19855787203176, 558.34725358176297, 558.7286634167707, 558.98699065697008, 560.48621252508156, 561.76585577991398, 563.62656652153407, 565.65521253222425, 565.76745905099926, 567.28828046130536, 568.39260905782203, 569.92330999189949, 570.60461646165845, 572.08121331995017, 573.93694518906022, 574.09535454877278, 578.80911283268563, 579.09670401224105, 579.45748413922331, 580.87437891556556, 583.12431332487051, 583.72447312010104, 584.85312917324904, 585.05320706559144, 585.93720119138789, 585.99329227403564, 586.68720177180126, 587.91471537745883, 588.4910952693599, 589.68917869258541, 590.35441276393033, 590.59597143151643, 591.80573110779756, 591.93618076777784, 591.95934967256426, 593.20051766412814, 594.00142013225252, 596.22646507455681, 596.77140905443969, 596.91052570093814, 597.16668425744592, 597.43377766200786, 600.14395533211029, 600.26395921968617, 600.53803592880263, 602.69851775663142, 603.32096114020067, 604.05893824687473, 604.13874034541675, 605.33699273513162, 605.86297683681823, 606.65719425102782, 606.86601642401411, 606.90235946791688, 607.13803934110911, 607.63553080387987, 607.8079640896907, 607.988206204064, 608.86858799679294, 610.36733626532794, 613.10277815371865, 614.15669391864583, 614.56017398568054, 616.25514887766997, 616.33109695939686, 616.85489447659836, 617.36840176776957, 617.54011621535221, 618.33287331934162, 619.50609192265279, 620.18524148322388, 621.45571703785038, 625.64642532964012, 626.82449102645796, 629.91136920035456, 633.03129091471988, 633.29616457569693, 633.69496150548707, 634.31465082564102, 634.77600504022348, 635.60813368695074, 636.96571981166903, 637.5282118473317, 637.84992404683464, 638.00392727636563, 642.83277189868272, 642.90769305439665, 643.22750917291046, 643.89598185279522, 644.09235547695175, 647.66618222696377, 647.91242264307255, 648.04669880609799, 648.77721119629916, 648.8666574641428, 649.24458252150544, 651.83765545763299, 653.46285355882867, 654.90565471941306, 656.91567607112279, 657.75015131144914, 659.58660784529297, 659.64010583783045, 662.38437279785967, 663.53400416837985, 665.22348195389895, 665.73306988988293, 667.28014178982153, 668.67468412476273, 668.98201572951223, 669.29425842484011, 669.55004342115217, 669.95872555083713, 670.77231162503676, 671.74711681340352, 671.84144072845186, 671.92954229166355, 672.0085610274308, 672.25340267391357, 672.29366825511931, 673.46353023313475, 673.71194175385676, 673.90451055653659, 674.10819224720774, 675.57063700814319, 676.28096024467402, 676.53560300526942, 676.95874189796905, 678.35747317581411, 678.43855786947586, 679.6530417651577, 680.04690802497532, 682.91482672953873, 683.26090777951231, 683.88640187701367, 684.03195364464057, 684.2830966379986, 684.61021703425854, 685.19613646830362, 687.24472679982046, 688.77844626093884, 689.12473784795804, 689.79496818789323, 692.32981925912156, 694.52800766096777, 695.56466748035689, 696.30225488095334, 696.71654405820061, 703.26666635570791, 703.36178507990644, 703.733990477421, 704.55342376695614, 704.60218120696391, 704.68715576354327, 705.43663025548062, 706.65477953317031, 707.52112752195444, 708.06471099306782, 710.06808850746063, 710.3479372424423, 710.75678588582275, 711.58366526627015, 712.25718603917858, 712.67939953954919, 714.31564973736238, 714.38568416676253, 715.39212498522954, 716.33655259505611, 717.3350972311141, 718.38618537215314, 718.5375071598238, 722.82190702061735, 722.88475598075934, 722.91129755780514, 726.43661539356117, 726.70004806136615, 727.26597400114633, 728.41754041243928, 729.32350618829287, 730.87440529176956, 732.28488077447662, 733.72367679938986, 735.27375573782876, 740.74172315269777, 741.1395940556099, 741.51830359574603, 743.09544392547696, 745.63678820406142, 746.14162415512021, 747.57686261553056, 747.72318956689412, 749.13157080353938, 749.84295203233683, 751.17166857783525, 754.97996079160043, 755.34575296807532, 756.44879392455039, 759.08229582693912, 759.33315856484182, 759.51655240844116, 759.62823329705066, 760.74875261318914, 762.38768485902733, 764.0643859090776, 766.24719538948136, 767.03558615997622, 767.55482726101752, 768.8684350797497, 769.74412785592847, 770.78839396193075, 772.21834123565168, 773.58699428460636, 774.64574875266226, 774.98029983217543, 775.67961576212178, 776.9129821621533, 777.3619736671701, 779.83919822853738, 780.57820068053638, 780.82654121239568, 780.92639272504846, 781.46766249133225, 781.81126196334844, 783.81916337539485, 784.68870853918122, 785.63769707278061, 788.21946049622773, 789.51503443935735, 790.74689540038889, 791.311065688383, 792.42606359792251, 794.28193357596774, 794.88752197276096, 796.08055210812006, 796.51135832789907, 797.50641995143553, 797.71054499009222, 797.74514436484708, 798.52005734766351, 798.59502658553595, 799.66730461793622, 802.24409461396033, 805.04664885277384, 805.37767958568145, 805.5131506939257, 805.55013951355591, 805.58738715736581, 807.17041307361706, 808.26446948483704, 809.65770938823573, 809.70657160799294, 810.04098435329604, 811.4515951095176, 811.71315643094658, 812.14316341568292, 814.33623100416276, 814.62345577559972, 814.98968685408738, 815.43539688221745, 816.8738908709837, 816.99553654656449, 818.47665390844463, 819.69196374766068, 821.48449901667891, 823.3516072046491, 823.49975411802598, 824.0980449205739, 824.66781169872218, 824.89708461079681, 827.75165516778975, 831.24977151211704, 833.02662558675127, 833.19741990214914, 834.99250758551034, 835.17921165433165, 836.79251744183046, 839.27441173802106, 839.32449491594446, 839.8853108476444, 840.20758708108087, 841.47362477866398, 845.68391269930919, 848.11869140153249, 850.73098164659962, 851.68241117152945, 851.97627527854479, 852.93668037111468, 854.64577000068516, 855.34710523856529, 855.64787990883474, 855.9486370227703, 857.28233716278805, 858.87975687316055, 859.24369061014272, 859.72124442052313, 860.07946254864828, 861.52386244442425, 864.34804403853104, 864.59145929338013, 866.64003885771649, 866.84197659911206, 867.488888541601, 869.03473963373926, 871.49049436554048, 871.667644255661, 872.06105991592813, 874.46499338418744, 875.32619552229687, 875.56573392740017, 878.03318645636114, 878.41798394079592, 878.44311957144907, 880.11745533724809, 881.01430539298099, 881.18781979111918, 881.56026545028146, 883.03650066048976, 883.09508518242865, 883.42751014921043, 883.6369582929384, 885.73780057366866, 886.7793330605175, 886.84253243805654, 887.83614295830671, 892.85921900433812, 893.31718706177639, 895.24386519571669, 895.68634315152053, 898.52415870667392, 898.97507832836482, 900.07193713821994, 902.51420170822644, 902.8017300989668, 904.17144248889645, 905.11185610275868, 905.95422210956315, 907.54412757388002, 908.23497443626047, 908.57864972683296, 908.71986000062111, 908.87106236535817, 909.19326130925378, 909.33578374932006, 909.99549665574955, 910.63133212463833, 911.89465506290776, 912.15336619939308, 915.24557276655241, 917.00121621306027, 917.52368399001261, 917.60987916373688, 919.21898539443237, 919.2731919183168, 919.33065123700203, 919.77129229886452, 920.02977060557953, 921.71713421628931, 922.50510622148761, 923.54698127364247, 924.54952118942106, 924.94086685423702, 925.91113364233365, 926.2959907482674, 926.95768738305924, 928.49479458618259, 929.7934853089015, 930.25986468473877, 932.61261357694525, 932.65434076932013, 933.03575308831876, 933.89265628408032, 933.96909649892814, 934.59106986172924, 935.06232132503123, 935.59023745146987, 935.78660378036602, 936.42344634806454, 936.96728255657627, 937.3980058097095, 937.98163807558899, 938.07545374175311, 938.26297443156739, 940.0719339994655, 941.2239569812275, 941.83493327176882, 942.61364177384212, 942.96639379405201, 945.60680162177607, 948.21751732552184, 949.56221093930674, 950.38208442087011, 951.22427953445219, 952.52633452632995, 953.65253249299838, 956.05725756593677, 956.89174447350581, 957.39275707996808, 958.56389478661583, 958.93630707520686, 959.1813316117034, 960.90683996449229, 961.33745837892479, 963.25976776049674, 963.4030972587824, 965.02484755639466, 965.46347353239673, 966.38168895607657, 968.47294942144299, 972.94691977280422, 973.16510559803828, 973.51303444059204, 974.29352943581227, 974.47350164574334, 974.69309744890529, 975.46064350231109, 975.60685195771043, 976.13240877200781, 977.22206306874625, 978.1462902388289, 978.66741830849776, 979.71773278153591, 980.55379057191669, 980.86281863991906, 982.39864149296204, 982.52738122025733, 985.12925551397143, 985.42424099628943, 985.66550673951554, 985.80000227776134, 986.2611692267177, 986.65102774768172, 988.21659256808675, 988.27251884216923, 989.22896891086191, 991.12596826887057, 992.55823901598842, 993.07255854752066, 994.36774138972805, 995.09168743810335, 995.3178081851828, 995.79218390713356, 996.10479523456661, 997.34519124490089, 999.39115193510054, 999.97179828165167, 1000.5980639965552]),array([24.010156748495415, 25.863268793996035, 26.108990557942604, 26.451345687292733, 28.972822053066501, 30.928748275213554, 30.951530474815108, 32.599596256367192, 32.934903913095347, 34.786875469281455, 35.020600776378267, 35.105058747438811, 35.473616407444233, 36.681905874094539, 37.439805196632172, 37.930178387476332, 38.022084822329177, 40.64682316648215, 41.15429267913639, 41.99898550530618, 42.799498295807332, 43.391836505594902, 43.910245473959833, 44.392883947468597, 45.795394142746282, 47.30747078576411, 47.418326402650642, 47.476088504947768, 48.066003125781698, 48.264495521762001, 48.355650629656054, 49.082664940715631, 52.341496410627023, 52.536513905010878, 53.108157623625381, 54.032313532311299, 54.520888182851472, 56.372850883685203, 57.972798473133928, 63.590763085163076, 65.546689941915119, 66.090674810518863, 68.080783516188262, 68.885600169925326, 69.762792014720645, 71.186010209174455, 71.430336458838198, 71.6933002260118, 71.825320189925193, 72.176269223533794, 75.148505942606434, 75.575102422124772, 75.598196569217507, 77.259202440157679, 78.818036763367616, 83.303349893417888, 84.048749260365085, 86.89400808867677, 88.038891958605177, 88.557204393162991, 89.082491936154668, 89.62773179683019, 90.287689248843563, 92.727489266826765, 92.962407679249125, 93.334922684583233, 94.044385223212373, 95.859001861274805, 96.38644198662368, 98.07919209049092, 99.594088400077254, 101.80942711927662, 102.18671468435488, 102.38485085569896, 104.23299377868412, 105.64244803173666, 105.97527229746116, 107.3130612973373, 107.92171005583745, 108.61733855031007, 108.77200572101397, 111.26839796674614, 112.25558470155869, 112.46896747290548, 113.03810012139463, 113.88143831243796, 114.03375189484628, 116.5055414841471, 117.08660667832021, 118.26370023346254, 118.73780828392722, 119.01543377717454, 119.59572882143647, 120.08099046775963, 122.34578028111773, 122.75815475239658, 124.51243568462958, 125.47519653937088, 126.64080930491545, 126.76424602784833, 128.61453726347432, 128.7325887784211, 129.44404196631234, 131.89562684437021, 133.25554451541132, 134.21164590909112, 134.5643758458983, 135.49397820691416, 138.00711997483299, 138.65557508621248, 139.85428942609732, 140.05673343668133, 140.64120965105548, 141.80139077078712, 141.83791515191538, 142.28441465732354, 143.58150801458979, 144.62294829769689, 146.93547174103301, 148.55738699058719, 149.04498757938097, 149.33315306071438, 150.17714972143045, 150.40544611605657, 150.9354117632366, 151.41495360099916, 155.72696494392358, 157.55069328028785, 159.11815883606667, 162.16341541736188, 162.5931804034056, 162.62495740194763, 163.86794716768301, 164.98272092223266, 166.91106551057629, 167.0924506773928, 169.55250166313832, 170.67935285709569, 170.93092828841446, 172.03060144462859, 173.17796353769668, 174.89050165730066, 175.84511074677178, 176.3320992810165, 176.63978440400979, 178.79856151893725, 179.92629151995817, 180.64491799353601, 181.72347997592499, 183.17700585958534, 183.96106671072616, 186.45528207883243, 186.74669899308336, 187.56919905321834, 188.37066844037273, 189.48399698618192, 190.8534844571536, 192.07225857820063, 192.31327760657621, 192.81104259808603, 193.27809622902254, 193.59855101103659, 195.01744081795619, 195.96286575714427, 196.44107518125574, 197.23949802903829, 197.70201877664533, 198.13210778878545, 198.39077743919009, 200.71438687725194, 201.13957810240711, 201.22536515571235, 201.69034930553701, 201.77143151163813, 206.52319641588096, 206.60084749507462, 208.46104894780439, 209.25799353276824, 210.55177320787729, 210.60028988114897, 211.19325088121732, 215.20543494407258, 215.65544605630583, 215.71465907170742, 216.31157666048114, 216.38182850592801, 217.41931447022785, 217.9567118119314, 218.08993985222955, 218.59626010796734, 219.82829432196505, 220.25058756953572, 220.3747754249591, 220.48485826664907, 220.8828962040289, 220.91930500591391, 221.220163676445, 222.35409536092877, 222.40238842684337, 224.19892904231679, 225.19547881242784, 225.4059187870065, 231.09610011714992, 231.30420246494691, 231.43762756198811, 231.57587277728209, 232.28349017289878, 232.95971575613399, 234.98374691418391, 238.03086934925258, 241.18011314774517, 241.77213604356103, 241.81615973374591, 243.35003495462496, 244.45432471389262, 245.43752394484463, 246.57189303630864, 246.80343862027993, 247.46697952073973, 248.1730550562331, 248.22739000092187, 248.26418289154407, 248.40708326920242, 249.1296055963526, 250.78421696280475, 251.37302732395966, 252.74400739341544, 253.07309627365905, 253.84906257304158, 254.82558470244854, 255.49396042988241, 255.68305763496846, 256.91497124677204, 258.95381535954863, 260.39884686493718, 260.45662964967647, 261.12522960013524, 261.532519767613, 262.1572503856101, 264.43135653069027, 265.55888289806046, 266.80151995187543, 267.27608493522916, 267.50754426999458, 267.81925664018638, 267.9723199219768, 270.27423805404669, 270.52178891011437, 271.08638435302868, 273.53146978769576, 278.51985273921281, 280.0402217422257, 281.05117510811795, 282.84334968017936, 283.07208746066703, 283.27767690031794, 283.60534439745624, 285.43982332656645, 286.71427987361278, 288.12507281376577, 290.17668910517017, 290.85873977430577, 296.03420316328749, 296.79486190074533, 298.13615157371333, 298.54406248328655, 298.77293826773018, 299.39988043979156, 299.48252535034072, 300.39209264177867, 301.11259180497279, 302.99284742135694, 303.83673274495851, 304.08665468000595, 304.56483127371143, 304.90385533194416, 305.561035226787, 309.71986251143602, 309.95292823659719, 311.06109560173707, 312.37421305712257, 312.59197567010369, 312.94645220523819, 313.01429392258797, 313.42524182491394, 314.17898086931831, 315.80771778959166, 316.34274019456694, 320.08088337131153, 324.50135976901998, 326.28013019032363, 326.69374221035315, 328.36502265660158, 329.28966048245877, 331.4399645959424, 332.12018545830244, 332.93154601826319, 333.68898190012794, 334.18196024663825, 335.77774988241958, 336.74158143523783, 336.81759180753687, 339.74030664030124, 341.40536596685484, 342.65094605537467, 342.67941794460523, 346.84354027515991, 349.73452516629357, 350.03442210716662, 353.01676261599948, 353.09958609120963, 354.35423847628277, 354.8801981628809, 355.57332351089696, 357.2616877586525, 359.83574161588109, 360.14703399914259, 360.43938185284532, 361.64626133450213, 361.69106808660183, 362.209442382796, 362.27688969391073, 362.36859504536125, 362.9328926496828, 363.98935687718597, 364.15640070215682, 366.29757636620263, 366.48995490008673, 367.21242180247037, 368.91177519851828, 368.95508853569669, 372.7770103416193, 375.3058375475764, 377.10137727524932, 382.02438099499227, 382.19607744527229, 384.91993749727163, 386.17760045424239, 386.73294822894422, 388.37447830882604, 388.62193264811577, 389.50519286644277, 391.56630236463496, 392.35588792314883, 393.23795067494518, 393.81068874257249, 395.48241916339333, 396.54366959183466, 397.19534165341679, 397.83271118073003, 400.95350450503867, 402.46897705559502, 403.15816181963476, 404.11786444280483, 404.94232857308862, 406.93888692755473, 407.37484612034154, 408.67109201021003, 410.59711256524145, 411.16823492981968, 411.52435480669988, 411.56111911933465, 412.33974665994822, 412.92061442293567, 417.81716055420213, 419.64460322633062, 419.79857997222933, 421.13977146777756, 422.48463574873955, 422.60290221213836, 422.98310430735069, 425.58973409753776, 426.27411347092169, 429.07119013320693, 430.84723720457134, 431.46581640547527, 434.92579952570446, 436.16150412524757, 436.69002151112301, 436.95225415436579, 438.29180874282906, 439.94920817255866, 441.07463897045699, 441.24103573499184, 442.45476882220356, 442.93958438981235, 443.68485385109801, 444.0908119861565, 445.62438025743432, 445.82206555916486, 446.45944698782165, 447.94907283564726, 448.11844373151814, 449.14887213818332, 449.78225825660974, 451.11408697058926, 453.49839929122055, 454.98728889179677, 455.56242608597768, 458.55554017898675, 459.93709022754388, 460.10029770383483, 460.51053130323328, 461.04153499478861, 461.49992569236059, 462.20005009346926, 462.47639357071392, 462.91045304167085, 464.2857129527427, 465.96706973375439, 467.24823571062865, 467.29654366280425, 468.85924224838305, 469.12668595014577, 470.96453332125157, 474.36424799689576, 474.41195868414547, 475.14360627257383, 475.534111591564, 476.35833771610095, 477.41028575233128, 477.44007750614725, 479.4765195994907, 480.7389057157709, 481.14379251873243, 481.32747262232982, 481.627246437228, 481.91702459208136, 482.76647369549778, 482.91718096303606, 483.56142239882877, 483.66607159585902, 484.57719017246018, 485.42450890241105, 487.06010465271686, 487.72485834366495, 488.7856413068269, 488.94933349410036, 490.93494231855237, 493.71080886602641, 495.48510702305873, 499.20488018876836, 499.60463439197906, 499.93779961864959, 501.71594332159719, 502.02532803272038, 502.86690861071258, 503.27017389026122, 503.46410344502345, 503.62967634085044, 506.09803993872134, 506.31077737611957, 508.46690911653224, 511.30563753232616, 511.7400181399484, 511.96873224994465, 512.99312485665598, 513.57665199470466, 513.6575692689438, 513.7991811217239, 514.91466087688082, 516.859786065202, 519.77693472932344, 520.37375443251346, 521.33220456924698, 524.03965633882751, 525.95298630095544, 526.57186496751376, 528.05313567354176, 528.52257171026747, 529.55274467323682, 532.68509760934171, 533.6845317532493, 533.92935208728886, 534.54135983028891, 535.54787041703935, 536.02689920576722, 537.73321257688804, 538.94625405231579, 540.81919934680002, 541.13465928747848, 541.90112258040801, 541.93094914941662, 541.9767855840455, 542.54577860049676, 543.53902442285516, 544.75121536129097, 545.42083796189695, 545.77527780919058, 547.52074742754985, 548.44110750035156, 549.85513265404086, 551.02395785387807, 551.29820270416758, 552.97929518019259, 553.43977021616206, 553.81469933937558, 555.16050644999655, 555.75887522204982, 557.31626300949847, 557.42657211926314, 559.43133903035221, 561.8230721090888, 562.49100648039405, 562.84896337039868, 563.14339274462986, 563.46486711168848, 563.49964941208646, 564.11655513645451, 564.14982279365825, 564.61740611335858, 565.68366610191333, 565.73790918282987, 567.01780030473208, 567.55005020590158, 569.01117867051994, 569.70666145328357, 571.15038795925489, 572.16917510989663, 572.6312283877088, 573.77858412172009, 574.93367423797156, 575.23623113907638, 576.88287019961422, 576.94452505289985, 577.01310581260634, 577.63129383088074, 579.54146664920233, 580.02799064940598, 581.01270685169538, 581.94764269839504, 583.00245064659009, 583.60188512591731, 585.36377193260751, 585.82150076648338, 586.97325508760912, 587.1650398455281, 589.62056282300443, 590.53935291160201, 593.5227873349728, 593.72249292950789, 594.39565058102198, 594.74154639189783, 595.6326493568647, 595.94691692798153, 597.38185483252209, 600.74295169927223, 601.13653319922173, 601.86878510939027, 602.0393964256142, 603.27892836243041, 604.2838762986637, 604.30732720191645, 604.80317577739106, 605.37512745280685, 605.71921016518547, 605.84085856865261, 612.41955026236178, 613.32139607767704, 613.93775599849062, 614.60883697461918, 615.67706078075184, 617.0225144911177, 617.11867746411065, 617.67932999598963, 617.71952006930792, 617.74275040297402, 618.10964267402221, 619.91388389384235, 620.25671158420039, 621.43893401207197, 622.80735231814913, 626.51025176900873, 628.06649184176354, 628.15011803504115, 628.42163799121261, 629.1944777771223, 629.88238852458562, 630.04055671326239, 631.1415378469751, 632.12405975720571, 632.41121009829283, 632.44538166826521, 632.78171969239111, 633.16979720302845, 633.98223036557852, 635.98918579948531, 639.08153321957491, 639.3809549645996, 641.08079491040735, 641.22385550023034, 642.06049613111009, 643.88884546135489, 645.60192578910278, 645.87512319602195, 646.64352299722634, 647.19942871846899, 648.77302769194671, 649.92236905955497, 651.57418622250475, 653.1177577509136, 653.16026303932063, 653.61624167793775, 655.7374205189152, 655.84064416508738, 656.04573543281788, 656.41365275396572, 656.45378824814998, 656.99005547399815, 657.57174113536598, 657.67279600841141, 658.26460615539486, 658.41902971531499, 659.57933746546462, 660.29033329339973, 662.03886721220545, 663.06500639282683, 664.35075923041734, 665.80954988309804, 666.75875394308491, 668.16134231486762, 669.67676615186849, 670.37514364321532, 670.98189155034186, 671.24435218712313, 671.85436332918812, 672.64865721358706, 672.72011800096459, 673.66453362199161, 677.05357500529817, 678.67830034021574, 678.70773935850536, 679.37583753303932, 680.58233231490601, 682.22675173140237, 682.46467404180999, 682.71796022808826, 682.9215537804422, 683.03172535250496, 683.76445155981855, 686.46232820362945, 687.08001140874114, 689.24894651778709, 689.81528618879929, 689.99646092289333, 690.40138011516626, 690.79827072701232, 691.15007603345794, 691.55549812801769, 692.64694406844274, 695.21995913494504, 695.25760559726041, 696.03254671922764, 696.65476228762384, 698.75365655375379, 699.67034921661741, 700.42292788031307, 700.78409197039321, 701.10423541905402, 701.77636639115565, 702.17659910582813, 702.28306386851818, 702.38062407583084, 706.93136521116037, 707.29849582789575, 710.37482347700177, 712.48997436434502, 712.6727109442553, 714.16717835245845, 714.69347195747389, 714.98744402440627, 718.17417484882492, 719.80922681659797, 719.93481260960903, 722.91969706428904, 723.26047387299627, 724.91308146533174, 726.46099070129355, 727.7455243371528, 727.95105610835139, 728.4760705609749, 728.97550680969755, 729.16472071847534, 729.49349906319276, 729.53244924851151, 733.93219543019984, 736.51264344961612, 736.90138419801622, 737.39020328441529, 737.43322790750153, 737.57754231206047, 739.03531760203305, 739.30403610925021, 740.51742937190363, 741.08382426282196, 743.18726217541882, 745.75170988801699, 745.77800555685258, 747.16653345418536, 747.76163668920412, 748.95285191589483, 749.35952503244266, 749.67346270023404, 750.52315264799222, 750.77270420004902, 752.47747024458101, 754.0768030563296, 755.7772916950679, 757.07720335478939, 758.00385251194461, 760.53560975343783, 761.48486953749307, 763.78760203598506, 764.73681523660491, 765.51720968352527, 765.90358422797703, 766.15403124824775, 766.83579850702768, 767.06104008021032, 767.19444271338614, 769.80913779806417, 769.93010235974828, 771.89477778354581, 772.60136179909341, 773.66750527677243, 774.03529419614347, 774.6570842966288, 776.10884299923646, 779.07391942849233, 779.16456982552108, 779.78524565452403, 787.21039301861492, 788.4569194214597, 788.67867198748195, 788.95611381676667, 789.17901499464699, 791.94867689172543, 792.85778925559191, 792.96926095471815, 793.01568764822537, 794.30948569544569, 795.24520856521303, 795.38134596329326, 795.53750608495125, 796.0929971268481, 799.74226198798874, 800.26039378546466, 800.63699159024145, 800.92261367077049, 801.03472773168426, 801.17544965307604, 801.86862032966428, 803.01906890342991, 803.57745200179727, 804.19864994099532, 804.51487152796471, 805.26317166393653, 805.72499481179125, 806.57198571303536, 806.73363108576473, 807.55604165098259, 807.65538018665109, 809.09248030093909, 809.42030943012048, 811.09496446264257, 811.54278951728531, 811.9095969649544, 812.62600292224045, 813.17879440071829, 814.49174494469128, 816.18077831616279, 820.5861450641155, 823.28756992122806, 824.74889430391397, 826.36670642942192, 826.40303099139442, 827.59805504231224, 830.03470278667623, 830.33259496300286, 830.89692564172174, 831.78932973591452, 831.84736733488296, 831.98256871850799, 832.40232589057223, 832.94972599299058, 833.36350211734612, 834.93129278707625, 835.08922108942011, 836.60488692954084, 836.90342184530141, 837.7729530376057, 839.71877524102308, 842.26099329020133, 845.13137912491413, 848.59255154180175, 848.90426137147847, 849.2690555185477, 849.51671952516585, 851.96053824941578, 855.61603797166038, 856.18570127006478, 856.78472942532369, 858.77302024485573, 859.9859720235761, 861.91835217733228, 864.78659268817137, 865.2435799593294, 867.35044628044727, 868.49286893646718, 869.08628494809977, 869.43428304856513, 870.39287221095503, 870.53712398347511, 870.88505408321578, 870.95365233190853, 871.0908998100648, 872.32292231385213, 873.13606159867061, 873.4480474394428, 873.62880785144546, 875.04576936229307, 876.04570933882303, 877.07026807535817, 877.58105771285273, 879.17855560871851, 885.86586830688339, 885.95226296870828, 887.03854576904894, 887.70310391174053, 888.75636672707174, 890.20309672280268, 891.1477002284912, 893.92998215393482, 894.44405734905058, 895.47368731851975, 896.60641605187743, 896.94207405091129, 897.02155320845327, 897.05426314233284, 897.46577331032063, 899.65317249127293, 900.23437219237167, 903.11975594310786, 904.15152417420302, 904.38581224965571, 904.89743267788447, 905.06314879262652, 905.29784261379359, 905.5874637106516, 907.466904795799, 908.18706733119825, 910.36458716958055, 911.62193315983166, 914.71922956757567, 915.57205485246811, 918.52463022906954, 920.28694377396585, 920.54186282134992, 921.2363833221134, 922.51433741334733, 922.64327090933193, 924.53184143299188, 924.76514190779608, 928.68133469999816, 929.75128790596011, 929.89554987808901, 931.1181985840376, 931.28633605509549, 933.05133915055967, 933.54903116670562, 933.67816052304931, 934.88906737501611, 936.92677844519153, 939.24105553608354, 939.6072172985622, 939.87128421669422, 940.29302480107094, 940.56094107199419, 941.65308645517189, 942.98080597746457, 943.3937870907007, 943.69262310473732, 946.25626316671332, 948.63383993613434, 949.12400001216952, 951.74974503748967, 953.37218780708429, 954.04484601805439, 954.11495239029637, 954.19963461689463, 956.42359239208906, 959.05567208185118, 959.24635206381004, 959.86340342116296, 963.21045355890169, 964.25397581990717, 964.7867325611968, 965.03876454490592, 966.97671463735117, 967.41385743276669, 970.02959970563336, 970.60042414161205, 970.65622235684157, 971.44635443925654, 971.68741821771778, 972.6634858831228, 973.47040212692946, 974.28323967033975, 975.9591068467646, 976.83225630796494, 977.16693926802498, 977.36183781651596, 978.16041477941837, 979.11780187973432, 984.57353597681106, 986.1757199855208, 986.43764167247741, 988.37110437746026, 988.88117662014679, 989.32064031431185, 990.22710389258339, 992.21901398499881, 992.70033541154578, 992.91241583536896, 994.97575449447299, 995.6253965340062, 996.35153844811225, 997.42991114295137, 998.0672322662341, 998.76845616049161, 998.80855083057941, 1002.869837549587]),array([64.764325033247729, 66.564015686437102, 67.306749983685805, 69.982508122759114, 70.124911114293027, 70.158568056086295, 70.753282313756429, 71.824230751663265, 72.9242910792522, 74.151753104932013, 76.896005214094103, 77.365698594577225, 77.588475012891863, 77.66509338229514, 79.003008500685866, 81.44945679080223, 86.815999960425572, 87.522016137586675, 88.832328190837273, 89.957580952609888, 90.045558547350055, 90.613869160810367, 92.279024842193863, 93.860877845112498, 95.544014962146491, 96.235478719608565, 96.405543253244417, 97.939641724739687, 98.141958895825866, 100.87425227684926, 101.39609125472116, 101.72877518877316, 102.71903160322492, 103.74463526589885, 104.58984361364216, 104.82928370438839, 105.22767211887506, 105.80304427617689, 105.89566973440066, 106.75912564781504, 107.34406373156945, 108.62144571647104, 110.06540565362084, 110.31812329047871, 110.46904109683004, 111.08975006585348, 112.04910837146929, 112.16316242644089, 112.46328279915843, 114.64891081936568, 116.31030957249287, 118.05280874737097, 119.11552964962362, 119.28414809477698, 119.62399214500238, 120.00977512025543, 120.69790232710119, 121.46530244724789, 122.86161459952507, 123.10971688364923, 123.23359293873442, 125.0358407731112, 125.88925617099292, 125.98046765301072, 127.1772717985864, 127.24193845396385, 127.29571018495479, 127.71612788389511, 128.03700534336019, 129.5290876401186, 131.81175141792238, 133.52087604724485, 137.55871594945248, 137.8180109296629, 137.93413135597183, 138.65504254201457, 139.34838195032856, 139.39895212418864, 140.85108799376201, 142.21116909849798, 143.22014997290796, 144.21504704409398, 149.14011940201331, 149.98677251721142, 151.55189162863564, 152.15134197999112, 153.69587436408389, 153.79829345849726, 154.26210384722344, 155.93625075667779, 156.52548515633956, 156.71675541969284, 156.84644607667579, 160.42268984673862, 160.96234171504233, 161.18278157085797, 162.63368050239399, 162.73486484295731, 164.50592179060379, 164.55393750671493, 165.13305170430036, 165.59750463841064, 166.31811194349964, 166.91697514726275, 169.44145101485842, 169.96287887542908, 171.35131333612446, 171.90613938629102, 173.32403247573131, 173.62844013250543, 175.31190768287925, 178.55212221592197, 178.58237798720788, 178.68283380468455, 179.02777527246374, 179.42482174605368, 179.64085656748108, 179.79998189391455, 180.03603111876936, 180.78345790027757, 184.56915787887468, 184.62625169080005, 185.3441061394218, 188.45185593417958, 189.05461486609164, 190.17344123159467, 190.24905901559526, 190.50349112375736, 191.53829385793131, 192.32910107992888, 192.42573485255394, 192.88649313374853, 193.76715238100491, 194.1015885022519, 195.6700996092581, 197.17753136828404, 198.67245312598794, 199.62453872557992, 201.81267975961879, 204.55097466913855, 205.88233218056698, 213.86340668436455, 214.82329985416089, 215.06329723942321, 217.84025992460562, 218.14248198624162, 218.29261166733264, 219.57170975836056, 221.59411382036021, 221.72876493063211, 222.19030632320377, 222.25892143460891, 222.84747707203226, 223.2427608023207, 223.94223672107688, 225.41541749569487, 225.7808438844996, 226.30323277214853, 227.30877080808392, 227.69961029939628, 229.33983585631722, 229.81810656455133, 230.31102210744069, 230.46894400877588, 230.53920573187466, 230.56063004518836, 231.61093774313136, 234.7171867567925, 235.91863576321373, 237.63123605974269, 238.48064054108136, 239.22089038251445, 240.07063464104331, 240.18806456728851, 240.3483157857838, 240.48076080140368, 240.81279673277177, 241.15575761442506, 242.48154249108654, 242.74729840591058, 243.92938555400713, 245.53563098001482, 246.54895842460442, 248.59441202014273, 249.21987348533403, 250.10209915200127, 250.24804746276558, 250.63143770263014, 251.36855694618123, 252.32247483025586, 254.37412755878287, 255.36576516363212, 256.03773362237092, 257.36285175953384, 257.77688278182802, 258.20392765482137, 258.32145587248624, 259.89366153477772, 262.82068828668577, 263.14400677421662, 263.34661103513065, 264.5326980812037, 265.88302065550772, 266.4170143521992, 266.50605606350285, 267.3695355735689, 267.94437800022746, 268.41655007386493, 269.29081056104508, 269.32651848808649, 269.71467801447506, 269.78866275056811, 270.02653605508408, 270.3621081381138, 270.396723869158, 270.92358588161267, 271.14207154305541, 274.76710041838692, 275.81040840440619, 277.94483902619112, 279.05689983733419, 279.39386274924851, 284.29050444560482, 285.21884933965947, 286.04973610851778, 287.4663925242989, 287.71085063023764, 287.78552246516603, 290.35015222046752, 291.15609204760358, 293.51583895218448, 293.89918970891745, 294.19852082937285, 294.68602455756667, 295.61320250960819, 298.03781291874566, 299.070350206245, 300.45678850780882, 300.8043837925776, 302.1422634710687, 302.22973484549505, 303.36669737037658, 304.6377683590847, 306.36988337624933, 306.71652984048296, 307.60555668149021, 308.10259795193934, 308.82707558107808, 308.93690390224174, 309.56676125146691, 309.69613974172626, 310.09405617223575, 311.76490059451038, 313.15577364211276, 313.60450132676277, 315.68395604544105, 316.74938832026567, 319.09391582390759, 319.57861428263146, 320.19927330512689, 321.18925329756331, 322.10184237290758, 324.00823525070285, 324.74095839143314, 325.3721654164857, 326.8895113088488, 327.59515594464591, 327.63547200525926, 329.02149453401404, 329.16055823223769, 330.4720655930908, 330.64442343793576, 332.24378026197468, 336.29533638446406, 336.80270553645602, 337.19745049781392, 337.73816643266952, 338.60399633228985, 339.52963224674625, 341.16485405176496, 342.07585182691156, 343.05014346562137, 343.74048424888616, 345.34326982964876, 345.97985525232224, 346.16207753122569, 347.44887331255688, 350.67456701633404, 350.81011231909002, 351.76579124986876, 352.68814076868244, 352.92875934105911, 355.64101999237323, 356.95853191540584, 358.66281535096539, 360.6253529305485, 360.65728170020259, 361.20841893222592, 361.27366132739303, 361.4096826114037, 361.66585678586716, 363.58152364033396, 364.54128486426924, 364.80088031882968, 368.44600787212278, 371.19870636560768, 371.41908465893385, 372.24485785637239, 382.20256522708985, 382.76710402303189, 383.23795538713142, 389.27028319101231, 389.44077228399891, 390.94420790177594, 392.0263491323729, 392.9209133784978, 394.29760724387825, 395.92791909848876, 396.44582838764524, 396.73078206651695, 397.86279665371654, 401.74510332959574, 402.99083022520637, 403.30098015580808, 403.64034726770797, 404.64159326655755, 408.40687541544759, 409.83171535664843, 413.94302347918756, 415.95602265118083, 416.11471531849588, 416.533388642972, 417.99996187145985, 420.20276471052375, 420.8638987538863, 421.58105140855088, 423.39340761186128, 423.6184209896561, 424.24528484397246, 424.30969281481089, 425.3113966211688, 426.29953667809468, 426.58106397168865, 428.0291461765413, 430.55354740627803, 431.67866858833315, 432.40499547315295, 433.36673097062334, 433.5196477452248, 434.048413241427, 434.79851793902657, 436.84816540046768, 438.43075070813427, 439.50628095721237, 440.14535498086957, 440.38901404354579, 440.97444311381651, 443.81429045794926, 444.42111003056669, 444.57592618468692, 446.04749598801811, 450.2266546457933, 450.5910013368341, 452.81297447435185, 453.55642667934404, 454.97141498994915, 455.38481078051956, 456.16577373114029, 456.53358920731978, 456.82367706769634, 457.58301121616671, 458.19920079934548, 459.28507810163251, 459.43246704545982, 460.3781394673411, 461.50667891534164, 463.47972605879278, 464.67001597900918, 464.95442341407801, 465.96048007760362, 466.11124587506367, 466.45895961460582, 466.53039124959048, 467.30784782501206, 467.50784254021858, 468.55633981183428, 468.98824256222048, 470.40593376653692, 471.91635033644769, 472.38245797297907, 473.20453414378846, 474.56895981283088, 474.69278871384205, 475.07895422586694, 475.11560402107864, 475.35542327680071, 476.43503542989322, 476.46029127968882, 478.73442150309148, 479.92052159673881, 481.28566180103917, 481.76446939486146, 482.81997589126109, 484.17246515717505, 484.30945223049747, 484.38850588741883, 485.41865275149246, 489.29459968875904, 490.35064042616676, 490.96537209432989, 492.4695707241379, 492.66460386337064, 494.47688196227671, 494.56034132782139, 495.62932493055831, 496.14465327057661, 496.55526946400977, 496.99219534300863, 498.19108705204093, 498.22208442078681, 501.89821805586422, 502.87341350417307, 504.60684024918896, 507.46956023604446, 508.97592560821772, 510.72568865124316, 511.28512782635005, 513.83115951521938, 514.59378768889758, 514.93394942813381, 516.77927799388056, 518.27912241450645, 520.1172968469748, 520.3505882558527, 520.61111393093188, 522.56188403616034, 523.30048715775183, 524.21014793959455, 524.80341189662897, 525.60956330433146, 526.19774737751391, 530.28755025264741, 530.65719487505726, 532.50861086141026, 533.04096983492616, 534.80252732938379, 535.00293569274959, 535.56989268066286, 536.76419036754498, 537.02937923432694, 539.24403844314554, 540.02580621422976, 541.16272998145837, 541.54713080826809, 542.94210299442773, 545.12856014933664, 545.88701808646101, 547.49675945460285, 547.78872320545361, 547.81927885260382, 548.1927296253607, 549.30211883811194, 549.47424976368109, 550.22220439853049, 550.26126507266451, 550.73025077518469, 552.41244966353611, 554.62481934147422, 555.11017717372147, 555.32065615413001, 556.47277499233337, 557.49373926470105, 563.79749996697103, 564.53001046528652, 565.15945858187854, 565.84719694256728, 566.26428732257682, 566.38842544202771, 566.67952727280169, 568.30476341021563, 570.00181319824526, 570.3288363825194, 572.37743527387829, 574.79834207602005, 575.2017304370205, 575.8742062039089, 576.26748436264859, 577.04157398774407, 577.33826999812004, 579.21736384468318, 579.31966805791205, 580.13027531596288, 580.66980468797396, 582.26716606646528, 583.69700344081411, 584.03169098918784, 584.10239090992616, 584.34667989131708, 586.5730612585163, 588.9942855498432, 589.06970182129533, 589.2502872686083, 589.498950054837, 589.92944983070879, 591.63750966800126, 593.34264941776587, 593.96392988127457, 596.26191899466505, 596.9820866484157, 598.55159075652864, 599.1831442598874, 600.25826152060267, 601.2922733414415, 601.51275201824103, 601.70071722522925, 603.25495191642699, 604.92982700734592, 605.79492840109617, 606.34463229089306, 606.47463145574034, 608.49418041292245, 608.72553228402774, 609.68590029856352, 610.19924873089838, 611.84560612939651, 613.70397342770377, 615.0730572012875, 615.25920416472081, 617.25996563721515, 618.56488298517411, 619.06561233486912, 620.17477363742989, 621.62150790946339, 622.15532227039614, 623.07611340705705, 625.39828489727699, 625.57657599280412, 626.23242822144709, 627.25141768180913, 627.44328132795931, 628.29505205754811, 629.02460817721771, 629.46945373359074, 629.8727340156355, 630.40001536186992, 631.57152053819414, 632.48246348702435, 632.51330796987418, 634.09398811441645, 634.54186388533674, 634.78002479637189, 635.09106731673421, 636.00326276192277, 636.17036551051115, 636.48711103850655, 637.3581461480527, 637.56742541310825, 637.63438618486691, 638.44896019972805, 638.64039473734624, 638.89550148979151, 639.90186587592825, 641.7597999041883, 642.53484578072789, 644.20400848203792, 645.18542625712701, 647.03655844726688, 647.27687063947758, 649.32896450873113, 650.34133893971716, 654.06831249356878, 655.03222578195187, 655.35105919642456, 656.2602582465712, 657.15801900732549, 657.55098026157793, 657.64525476399444, 660.11480704284179, 660.80558174212456, 662.27208657469635, 663.88969372115207, 664.64223110582589, 666.09306656583351, 666.771934114293, 666.86985657817604, 666.97833413090677, 668.13046614764323, 668.18345877122056, 669.35300928074128, 669.66586610992454, 672.54416629263335, 673.20602192618276, 673.32546853085432, 673.55517407465015, 673.7348360244514, 673.78611250937297, 673.8801425158133, 675.95246933538988, 676.27306135196977, 680.56339071441971, 683.12357823590582, 685.84271576820288, 686.31666847415192, 687.46877322826367, 688.25043914064997, 688.6293509888111, 692.07346842127242, 692.54729469847405, 692.59407192479659, 695.9103530200789, 696.19237454649658, 696.83480613261031, 699.15663779618558, 700.65478598248922, 702.35159823324977, 702.46758652845415, 705.517523446675, 707.18767071246623, 707.59490096474792, 709.38691466031514, 709.51846668832968, 710.17411231453468, 710.75783569236194, 711.44161948990359, 711.48447002734974, 711.90057495235089, 712.06406456324862, 712.38640128568932, 712.42626165948968, 712.88329899751523, 714.12949931925198, 715.72724712795241, 716.30045040315008, 716.6311408711631, 717.03090468342418, 718.41536564134992, 718.48507576880627, 718.50699733826934, 718.58281471991745, 719.37262509589721, 721.37213958195082, 722.48422754743763, 724.18352989998982, 725.9793286642913, 726.62718623690239, 727.69712028036793, 728.1453331389763, 729.16780657093238, 729.47873872460605, 732.72507378290504, 736.67398087595006, 741.82963411392711, 744.76607704970456, 746.21898207346317, 747.5914695969069, 749.1244982985844, 749.33596585046052, 752.10688117511154, 752.15072641869278, 752.63002853540308, 753.51582812191805, 754.06098458632346, 755.0114712701037, 755.09801385061712, 755.14484918836547, 756.2878233972076, 756.43674088911757, 756.85375821320349, 757.24865332762965, 757.48193687927676, 758.39408891950484, 758.82742547180374, 760.19979690225568, 760.85345875480004, 761.88040874806063, 761.92080990541558, 764.40949058165711, 764.46789812410293, 765.16893517979622, 766.10879584762142, 766.50314915401748, 770.88729973788952, 771.20567434042675, 771.77772943220464, 772.96163037391193, 773.90435759075763, 774.55523880328474, 777.12497371655422, 779.12159543319274, 779.5542285474653, 779.84679115732547, 779.9092372334311, 780.30649866872454, 780.68721718857796, 782.24075481412524, 783.26028092184231, 785.37023854139716, 786.09081385501179, 786.83792802650385, 787.3521143377576, 787.5192172215036, 789.79534527266674, 794.00886727666887, 795.4660041307726, 797.79706883645849, 798.20790934581248, 800.90849877673122, 801.49338804089496, 802.15261496104858, 802.81628003297737, 803.04324740249535, 805.10035499477533, 805.92634203066848, 806.21141964652986, 808.37652663827964, 808.94438503014499, 810.7399999151836, 811.82051016788228, 813.89200607986413, 814.24446853009727, 814.68981843720701, 816.94938982049609, 817.51528983715411, 818.54524608373265, 819.74006953465823, 819.90198939831055, 820.03569194070178, 822.45984088735634, 823.40606952019505, 823.52269677031177, 823.74968240077249, 825.34826199054419, 825.72049172492518, 827.49671230264357, 830.51845939289069, 833.65547302966058, 834.10151448497425, 835.09542751375511, 836.04383684424135, 837.15069946563517, 837.22517536867849, 838.52215100915566, 844.45942520507515, 845.19427049201181, 845.84483495030565, 845.94301490943349, 847.27200924005285, 849.33399237520314, 854.12975897484887, 860.87051128278461, 860.97407485218548, 861.19882724695162, 861.31787678440082, 862.31193084104109, 862.77240323841272, 864.85062067453327, 865.13804251306033, 865.43757689694053, 865.55483532115545, 866.08149201699166, 866.10558638012844, 866.41497519116683, 867.33430532331215, 867.39808118463213, 867.94286079674941, 868.19685062973281, 869.1432579312293, 869.18656204109175, 869.32843228195452, 869.47022498459626, 869.53055993314172, 869.56161661601561, 869.8780240006646, 869.94452298459692, 871.57350217254066, 871.81818734015076, 872.59355100931259, 873.73037844819305, 874.99774819255845, 875.54929719185145, 875.60618936178548, 876.8657870310401, 876.93765964093757, 878.25500526966243, 878.53997934590302, 879.19930642691224, 880.08641788875889, 880.16986969177458, 880.31574628766452, 880.48135291569315, 882.86859115387233, 883.24984236280079, 883.8053475761626, 883.94365682513342, 885.2897357708722, 886.12610938739442, 886.42321447437018, 888.32599141878563, 889.68283612988694, 889.73442754107202, 890.92731403143569, 891.35834217577815, 895.37265887169622, 897.23717816567535, 898.51965083195944, 899.5235914282872, 900.76541729191115, 901.98479859593067, 902.24911554411244, 902.34264487210544, 904.15504421545472, 904.54536272340658, 904.96519805963533, 905.20807060428797, 905.45970266200789, 907.25771053490018, 908.2030598241704, 909.54407790501261, 910.83555384711076, 911.36371917735619, 915.38813634148403, 915.87366944095697, 916.13983146574606, 916.93007259129172, 920.31602303969646, 923.78303530416679, 926.67970497334125, 927.44598010793368, 928.31420406287555, 929.72302189818754, 929.77681463537556, 931.27208330181759, 932.39867315801519, 938.25951204382739, 939.59356428132833, 940.23102598245396, 942.06411855084627, 943.72327084560663, 944.18689072836492, 944.95602073888233, 945.17997834642279, 946.57496243330172, 946.97835624090112, 947.13048344356821, 948.18017538945344, 948.72793735295306, 948.76502292540965, 949.17097746056629, 949.6452170441197, 950.83634662410657, 951.54593553913514, 951.98528109003905, 954.86847684591305, 955.09793677816151, 957.65704689112613, 958.98246773616142, 959.19859333729619, 962.9057872064551, 963.02626644747704, 964.27007393590463, 966.86740479320633, 967.65508449782521, 969.78185483507946, 971.39682215517269, 972.17156793372908, 972.22172463011145, 972.24384370019129, 973.80979095874056, 976.45350468910203, 977.54832244953616, 978.66880984846182, 979.75410405528805, 980.07041653986425, 980.71172768274494, 980.74540459191564, 981.93123887874947, 984.27441539468646, 986.39277857442721, 987.1298694434729, 987.4204074430935, 987.69647784170945, 988.81862184990189, 992.49370298795918, 993.80397005314899, 994.96920170966177, 995.23016038186825, 995.61364179895736, 996.8798680578484, 999.20176794614895, 1000.3969025015406]),array([11.435028919805479, 14.87396195081207, 15.156879928419411, 15.797636039677819, 16.327862319734979, 16.848146195135257, 16.954872487561079, 17.792827455906853, 21.813607209889483, 23.173224382666206, 25.474863654721307, 26.439979663280841, 26.467398606533138, 27.834628337681565, 29.898900747175247, 30.813020682218273, 31.811647216954537, 32.247158607098541, 32.286980317727213, 32.649241446832676, 32.908257271899622, 35.334811056594894, 36.941831202203637, 37.68104916759674, 37.748727392128174, 38.913297181755603, 39.315290682521791, 39.376417868935036, 41.088689448061338, 42.018801537520325, 42.375314368058355, 42.68104478990341, 43.729293391258075, 48.3396011263969, 49.376839912774315, 52.844697563020468, 53.685953130265183, 54.795965950887059, 55.756045373860353, 56.06843789383452, 56.504166187607709, 56.53198312105981, 56.664165359055026, 57.938598286848858, 60.016798354984594, 61.025703533884645, 62.975083772742657, 63.088945619951296, 63.660239836903187, 63.719290528376007, 64.923246369865126, 66.088736502124434, 67.457216510616448, 68.669608147209274, 69.086170637360325, 69.577464819688757, 70.570466516637609, 71.985642875351957, 72.854264933199104, 73.03991255460457, 73.770555698151583, 73.915523205189899, 74.651329153273807, 75.329790670463751, 78.055326313129527, 80.929266447874156, 81.294346684878263, 82.58417552132039, 82.949412423205828, 83.00757156272995, 84.426715384767434, 85.721308053604986, 86.644915601888613, 86.844758963083024, 86.965030927200971, 87.245910635956079, 87.940814771688053, 88.482880344598087, 91.438585738304994, 91.669343208229265, 93.369986906274278, 95.205366848957951, 95.68638339138144, 96.073559274647991, 96.100969756738152, 99.123108078995713, 99.750611977324183, 101.49759443652543, 101.96578474746642, 104.06217954391865, 105.47260817428703, 105.8886599935574, 106.77795571124898, 110.17067535688045, 110.53819326596192, 111.09624530743463, 111.43590605729426, 112.90668277681814, 113.0104576057701, 115.27232139527501, 115.92135068589549, 116.07844880001706, 117.88132322903768, 118.71747291060251, 119.12257703078531, 122.55008663238773, 123.06733435244018, 123.18972979270015, 124.20549731402862, 124.26237591220904, 125.25105081983001, 125.61064030751618, 125.70662589620586, 125.94361150293294, 126.41191230839236, 126.97385210841938, 127.30905649610794, 127.68062465637655, 128.22492560180885, 129.62384272328546, 130.52942237641776, 131.65305469267415, 131.86678736708689, 133.8029298705687, 133.83334251952263, 134.21679041574356, 134.4037258351365, 137.18126576121423, 138.33020677811413, 139.41233622446086, 140.82373471189999, 141.50113674043752, 142.60404437450634, 142.97873676204583, 144.42441162889304, 144.96275728330093, 146.49666001342155, 146.66204790125033, 146.76405319858685, 146.95592567232103, 147.7670859923048, 149.27924763918242, 150.51625194311012, 151.13767522857268, 152.36738595691992, 152.64069922804589, 153.44464286891659, 153.83910677174498, 155.36428693268013, 155.89060801890713, 156.00529713116836, 157.20086991824135, 157.61408844741746, 159.06074608896884, 159.25822443532417, 159.34144281748749, 162.17667826440515, 162.42619003940746, 162.81368145795878, 164.20902007155433, 166.04594986036022, 167.2290998306853, 169.24177506637278, 169.62432095807429, 173.47930174046118, 174.57035286063112, 174.93933853036475, 175.94757539422818, 177.24838786764769, 177.55735993509168, 178.60559910241935, 179.29834610013339, 179.77975108630429, 180.09048936831567, 182.89337865220892, 184.25873192774603, 184.49919720504545, 184.6925439504513, 186.4405536462576, 186.5472067873099, 187.10614528643671, 187.86570145334741, 188.28354145549025, 189.08139014102841, 189.27179429993757, 189.52155462784961, 190.29454741934148, 191.56637771160501, 191.92448795971748, 192.06425969495356, 192.1664251887714, 192.47663406104294, 192.53597924919654, 192.94409306783677, 193.13363636611598, 193.90696335901563, 194.84284945992673, 197.35435044923977, 197.858835955968, 198.47315545137465, 198.85459450652834, 202.25755834861189, 202.48576042002335, 202.57870178553387, 203.27622292744658, 203.54537971427129, 203.70376477097756, 205.34108424601925, 207.83633638828275, 208.43134771366479, 208.60243320573846, 209.52609971281959, 211.82650184299737, 213.96827836960813, 214.13608241000253, 215.04430804659216, 215.19056855243508, 218.82492813247771, 218.98675941055541, 219.7099338825555, 219.83805610613516, 219.9937096251289, 223.94939353751874, 225.40567905479315, 226.27186139028896, 227.48537679694738, 227.85682172869372, 231.20228455695295, 231.43870705103802, 232.34449441283886, 233.72203769880628, 234.95110858052738, 235.35205011945081, 235.63844117570306, 236.12999321534355, 236.18024220137846, 236.73113078221621, 237.12306088881789, 237.18877173036964, 237.68513990651149, 238.86018437590093, 239.48989810673115, 239.6489353732089, 239.83189043300868, 242.32781581114159, 242.6234349942867, 243.28823174551349, 245.95278416539247, 248.77960520262653, 249.90168095197981, 250.00226161627631, 251.00127601026136, 253.2185459434844, 254.93025824606642, 255.08920364103008, 256.17925842701464, 256.91945659814132, 258.13658500999173, 259.19589507333279, 263.26102361258643, 264.98947557897662, 265.37723346112625, 267.02624981493904, 267.37929279127718, 267.97363844972733, 268.67971550773183, 269.0073453070367, 269.04989881948751, 271.00499484272052, 272.48102061098575, 273.27916976203591, 273.56490644216376, 274.72526595533736, 275.89085759774218, 276.10879521496378, 278.91607964647727, 279.43606474258451, 280.48727817613866, 281.02359638571312, 281.36279861386748, 283.08091948318838, 283.36537170530187, 283.93405666118838, 285.58865533636691, 285.93639093112358, 286.09599940415842, 286.18206894259612, 287.36242090198363, 288.05583299322154, 288.34615273505295, 289.26911036014218, 289.56562293804205, 289.63085531151086, 290.4329184630277, 290.71229484680572, 290.96955396027016, 291.05692267054866, 291.67974607408803, 292.12094690929473, 293.24624856537741, 293.46497082166712, 293.68519436849789, 296.96092365493598, 297.84232592949354, 297.87020323763704, 298.62096532491449, 299.61667711483028, 300.1137162914456, 300.81336072871738, 300.83875349488176, 301.07819432149734, 302.12398246933071, 302.91768824834679, 304.47677387213656, 305.58658965110629, 306.38302148384577, 308.77166081870251, 308.89665888346514, 309.33147141310576, 310.3170182370564, 311.68370700174648, 311.91029219306552, 312.6600649751224, 314.82994201694044, 315.94083837776577, 316.5122300338403, 316.81423481217968, 317.80922710198837, 318.69782681397123, 319.31804525291307, 321.37125815245321, 322.50036858645188, 324.69512613688971, 326.0666259241429, 326.48673880855296, 327.24204290614841, 327.32427354110376, 327.45287541948591, 327.65516180852694, 327.91962793115511, 328.47525057942903, 329.43338121890559, 331.01346648730015, 336.30374622642699, 336.75734401096889, 338.35586079004116, 339.79190847584971, 340.0484005008031, 340.30468977356247, 340.72977927250815, 340.8256779934988, 341.11142387346393, 341.52746756132865, 341.8544838407455, 342.02230118324474, 342.42933965703622, 344.52385074769427, 344.61086191456849, 346.20352839995411, 346.38104126649932, 346.51920298998641, 347.23751694836301, 348.07789685858171, 348.63771299501605, 349.44216859792823, 349.59959047678393, 352.41704731234506, 354.41976815815912, 360.15755491287189, 361.81748075216638, 362.82001116664173, 366.60706079191681, 368.03373939867578, 370.4768729522159, 370.68593333038086, 371.29680418359953, 373.50447478865499, 374.29950333986477, 374.3298997714939, 375.87387884147603, 376.84986071748926, 377.73481684740659, 380.43683746996459, 380.82307774688002, 381.76566727449801, 383.57386175183166, 385.03796409541309, 385.61812053267283, 385.94537510866593, 386.07905118406489, 386.29745236733851, 387.83282299923235, 392.09276245433102, 392.68242029016625, 392.94928783333881, 394.52638417478568, 396.09614266347762, 397.17139851703877, 397.28444022131941, 397.3967177907615, 397.65107537984176, 398.32630324197527, 398.74924833666932, 398.96030719516273, 401.79254757286355, 403.05288464251862, 403.0931903522806, 403.61815863898602, 406.22799112737505, 407.21902520155504, 408.70774647294621, 410.90051649101144, 410.99262962699032, 413.92331143211214, 414.08417566243281, 414.17673213225834, 418.19487152506196, 419.13180872173939, 419.23491456206875, 420.12552379136798, 420.56831213154453, 420.82675614271739, 421.88403246410724, 422.43699955311433, 422.72610248971256, 422.83526012085764, 423.83468528663161, 423.8655866421409, 424.51764982793605, 424.98385341535749, 426.17749764273259, 426.20390045908727, 430.56490706932391, 431.57146888541109, 432.48765014053208, 434.7083069351076, 435.74996270107238, 436.65307007923133, 437.97423412283587, 438.36715387048559, 439.59164892589445, 439.74073667642313, 441.89084404356112, 442.48519592865966, 444.30719390131986, 445.53506579904268, 446.64720576249817, 448.26997393085071, 448.79919115644071, 448.87976035509098, 450.30284213444327, 452.4854193718848, 453.11604526002299, 453.6147093166764, 454.73205464633929, 455.95617272614413, 456.76122995830775, 457.11425191479549, 457.15189754388336, 459.03768389243322, 459.15747743243776, 460.6006375878124, 460.84096180138516, 461.17621059152646, 461.28526921748295, 462.72609488725772, 463.21977597966003, 463.98343481551137, 465.69897794565549, 466.46237947523525, 467.51484554224902, 468.30966303686023, 469.04250750548954, 469.19976790843367, 469.56054881805312, 470.36325554807456, 470.87101794269262, 472.39440116458894, 472.78636803211401, 473.22581140392333, 473.60214465231371, 473.63678810794676, 473.8339512307623, 474.38767324986941, 474.4420506013704, 475.45783365370028, 475.7558903157182, 476.30239621791139, 476.37424339648169, 476.90886588874235, 477.96785930665385, 478.67767681276388, 480.3392049635894, 480.41118220764275, 481.08771818224051, 481.37964731241169, 481.65717193627734, 482.43007022043133, 482.95597366346578, 483.14626174305744, 483.56655819540947, 483.75734717612136, 483.90191849822844, 484.09938103101268, 485.668612022037, 487.10127873626828, 489.95218261980244, 490.24475490290325, 491.45433421973615, 492.1827458106888, 492.24152600545767, 494.07331172512266, 495.83663913607995, 495.88813133610506, 497.09759281066437, 500.78177893542141, 500.85919394058061, 501.54582757911146, 502.16728503165473, 504.51295077329519, 505.18488717574576, 505.34029865758606, 505.39640885708297, 505.77665280073074, 506.10219156628142, 508.10936250907724, 508.21299376197157, 508.66962704577327, 509.71075607212993, 513.32562144862356, 514.26352314456528, 514.63793525970698, 514.68749201448975, 515.22542596546725, 517.34039588172789, 518.40126765036371, 521.14313724971805, 522.21652882031526, 522.2898396353396, 522.79181015881682, 522.92692357176861, 524.87951179139725, 527.21415589155458, 529.60938700045222, 529.80749031701703, 532.43751489984368, 532.74794688077532, 533.15348853217267, 537.40252194968843, 538.08410920019946, 538.961331119021, 542.19594625280661, 542.33736249265303, 543.49531127867874, 543.56604374357107, 544.60834661342346, 544.79897685744584, 545.12413271168714, 545.40634470972282, 545.95495795355714, 546.71984715600388, 546.77394048778183, 547.86354250008833, 547.89946299307735, 548.03189395307822, 550.43175141685151, 551.07062275005831, 551.81489440809776, 552.81049132113367, 553.25791852689076, 553.56076045963437, 554.76818438112491, 554.9849868783341, 555.89745073945562, 557.46832149196621, 558.2812983854991, 558.81070335467643, 560.4905003700336, 560.79147904262334, 561.55831083015096, 561.64146421210557, 562.6356958727705, 564.61994271609512, 564.92081444973837, 565.8228747813107, 566.73680392285553, 566.91550451707963, 568.39069850767112, 570.52277010120883, 572.77026379886627, 576.45595028653611, 577.13821356460994, 577.19675757339269, 577.71631884759859, 580.49748660026228, 580.81058816100744, 581.28765146156661, 582.30456541643207, 582.70140122238013, 583.0537158070407, 585.05963745683562, 586.3918717533835, 588.09305400170433, 588.77769557345653, 588.98111474386894, 589.29712455955575, 589.47468258262199, 589.94711245582232, 590.8130668995617, 591.26562650523636, 591.72645483397434, 592.8566014790589, 593.09961429502516, 595.87175787358615, 598.89707668821268, 599.6684302982427, 599.99779217180912, 600.39886879701942, 600.58719637068509, 601.36420338784706, 607.63525385548996, 607.96123194430379, 608.10585726180454, 608.81933117855897, 609.41123158070741, 610.98814608584735, 611.90801943581687, 612.44825393940471, 613.42176216394319, 613.91049846503734, 614.50954406122435, 618.40479293479348, 619.5264074045524, 620.18700735507014, 620.30147947781859, 621.66519888451387, 622.51596786553023, 623.25908415818083, 623.6946481612348, 626.60168088598653, 628.13036952107655, 629.26048443144077, 629.78891754902781, 631.40809168374358, 632.28398424890099, 632.54687819689627, 632.85147021882017, 632.93742744087933, 633.06859317130829, 633.16752331171074, 636.66061047277776, 637.69745808931214, 639.99142490178826, 641.1203495632825, 642.36540761471497, 644.21809519355975, 649.77810674800651, 650.13484163125031, 650.36160137579668, 651.65442254787672, 651.81075831855139, 653.31283515056577, 655.65488501685775, 656.5549660700359, 657.25091246394334, 658.32996128108641, 658.97821767445851, 659.41499113958901, 659.71832205289627, 659.99792992144762, 661.45710364345416, 662.30845157206033, 663.69685219726477, 667.19977141338927, 667.44101874513467, 668.72584016691758, 668.96618639644953, 669.29247054698919, 671.17053514313147, 671.6628508493128, 672.87910986666725, 673.23538837507272, 676.21660996162007, 676.33376120549235, 676.48250164511319, 677.08191979055039, 677.69878118964607, 685.86467906091491, 688.41802279778892, 688.86249682065352, 689.68682722353333, 690.40210576639788, 690.84941252543797, 691.10150977138926, 693.32489796947925, 696.35154885309248, 696.61492149620994, 701.30101025032047, 701.46661928444519, 702.69421833297713, 704.15093160399647, 706.51508802533908, 707.83527079438159, 707.92277002702269, 708.1284157366083, 708.69892193291298, 711.57983391768732, 712.36362509696846, 712.65220765823096, 713.15274672783983, 714.16332686819578, 715.05927404618501, 715.20224887242796, 715.54957607624021, 715.6224975914372, 716.06088587430452, 716.32400253616288, 717.37219997191426, 717.70959930246818, 718.09666794943712, 718.5577866379258, 720.0755415169167, 722.39094376295839, 723.46935217624446, 723.5066827213476, 726.08851030362564, 726.1684141774, 726.23654493078584, 726.46685933493461, 728.60011678238561, 729.57794545532965, 730.34489104884778, 730.41877722313734, 732.38029426791309, 733.70143002869679, 733.89490448107676, 734.38860646887235, 736.54575121165306, 740.08141214758541, 740.34573375782759, 741.332212418675, 742.08714466162201, 742.24168101792065, 743.64761446095531, 744.50612505829599, 745.97466899499966, 748.53479245785263, 748.64347410951439, 749.87884425411721, 751.38499720729214, 752.57806246076416, 754.01212197600182, 754.8118446289667, 755.86333687171418, 755.97836930238236, 756.37988066004152, 757.60240383737278, 757.87831672833966, 759.22685666548182, 759.63163200355768, 760.10539611374645, 760.51072669533812, 760.63167647974819, 761.00458696029489, 763.62289447248293, 763.70879516245247, 764.69627286646903, 765.6285029886692, 765.79622652000569, 766.30987268089177, 766.61158182761403, 766.71244478324604, 770.10472175915152, 770.52821220481519, 770.81953251312495, 771.21576413919513, 771.44566382862024, 771.78839478327609, 773.03673886377965, 773.59332594092336, 774.63854517280868, 775.92013912911364, 776.32549957705123, 777.37815954730149, 777.4716063245246, 777.90076591047193, 778.3712922774049, 779.00165670742319, 780.62689199979366, 780.88857227079518, 784.91517019744663, 785.68456138091267, 785.74234970830116, 786.20508515215647, 786.45803364220023, 787.74642012391223, 788.1167788386565, 789.20775890466075, 789.37729331471587, 789.99677276048556, 790.23643573704476, 791.61616286752621, 794.07619522271705, 796.18045598754281, 796.3513963770456, 796.50897754973153, 796.93306491277337, 797.29192095635722, 801.65806860825717, 802.563689175523, 804.83572615858668, 807.89546777139424, 808.27855465069354, 810.47781853356128, 811.41959715248595, 811.64989748612049, 811.72253980987739, 812.44202924777937, 814.10968072275409, 815.64179109784538, 816.82364490017426, 817.33339634414961, 818.10467195358785, 818.62516745022549, 819.25943977487509, 819.60385255425444, 819.98105885201596, 821.09012376422686, 824.52329848141778, 824.70646470729605, 827.16167292160367, 828.42985847643058, 829.80379983776686, 829.95549021315969, 832.17770523442914, 832.48334861654246, 833.34448175890122, 833.66110990715879, 833.98610758152688, 834.95921756101848, 835.74317765671537, 835.87256117893276, 838.90804777939513, 839.35401377488688, 840.81399832421619, 841.28365670492349, 841.66113054399761, 844.17229815908229, 844.23041479199173, 844.59936456170328, 844.8703248931273, 845.30663200256799, 846.14012249368147, 849.85006897718984, 850.95777151618688, 851.68064602220159, 852.65096860196593, 852.99831389746794, 855.06128454409475, 855.41768875986543, 856.95105660028196, 857.56917663857564, 857.81110351489178, 858.17037921570909, 858.46296909519856, 859.91629737603853, 860.64048629065201, 861.59195965598042, 861.70118506548306, 862.3239567064644, 863.22112564282531, 863.7280689434541, 864.68454870562834, 865.20426275071316, 866.30700817769548, 866.38043026325533, 869.49977370766862, 871.92775530469191, 872.99431916532444, 873.17018984833066, 873.55634692193087, 874.82302024553542, 874.96758356866144, 875.76334675109888, 875.79342064540401, 877.00401490849242, 877.2758285774969, 879.96165616384201, 880.00086587537839, 880.97097957896574, 881.08122024444788, 881.36473891268076, 881.92586380575983, 884.15283920504578, 884.31682361286198, 885.99716976898856, 886.7875958690064, 887.25740026370681, 887.67798487120251, 887.9223608965998, 888.03764421141182, 888.69887781811042, 889.55502447197284, 892.4428346076495, 893.15701968699852, 893.34827821412443, 893.79159129067671, 894.77153646370493, 895.09136951956805, 895.48091218538571, 895.59308889272654, 896.81491827873322, 897.73163171460601, 898.83975568676169, 901.29806872971506, 901.36808088785926, 901.49231971971585, 901.75008057610194, 902.5126524523281, 905.78375538645435, 907.06095852802287, 907.20894397838651, 908.89126363011349, 908.99268574071391, 909.52299268892943, 911.02577007519403, 912.06466908347079, 913.19113243048992, 913.6805606986328, 913.85967265670081, 914.46644525681336, 915.353460322209, 917.50071317846164, 918.14550164807156, 919.35669171841641, 919.44850640445941, 919.54003051545521, 919.86285483026097, 920.68907160755407, 921.57866793948631, 921.74773898764784, 923.09167951321183, 923.26857069007417, 924.37908777860059, 924.40824894304092, 924.50824241860801, 924.71030711747767, 927.69916293639949, 928.71273771971357, 929.62538335654585, 930.38245874346615, 931.37264509331601, 931.64022843566397, 932.28086110360061, 934.40915291113538, 934.93783554518188, 935.14353252215187, 938.4039154849587, 940.23199975240482, 941.23619198379242, 941.50557117649385, 941.62302857821226, 943.65793342375991, 945.8426362569744, 946.4823580515565, 947.36684815842659, 950.5612884490846, 951.12059590316039, 951.44258415932575, 954.11097776193265, 954.3916627255046, 954.49640793249841, 955.26282884720945, 955.57693240852177, 956.71568550857035, 956.87547659907921, 958.52212588801024, 958.66818564863252, 960.80894374610102, 961.76604476068871, 963.13825708190689, 966.71558106784119, 967.23825052349662, 967.26922837228233, 967.44848679521021, 968.95231351842062, 969.03464650191961, 970.03525932602497, 970.94104584918216, 971.8449881404639, 973.02253215222731, 973.26995951573463, 975.04274425761071, 975.26549742923453, 977.78790415464391, 980.36531594724033, 983.81670512635321, 984.34533623797063, 984.99331439977084, 987.28984748136259, 988.11557798273327, 989.46056542370115, 991.04650594251973, 991.31012111049233, 993.64528567695265, 994.61878611337841, 994.83587006111122, 995.95842303885752, 996.11513877636298, 996.3915613506997, 996.99969584714086, 998.36844361864928, 998.68374089841984, 999.38285589554619, 999.60714965271143, 1001.0257783759587]),array([62.484181833839791, 63.303474127163135, 64.188520829326976, 65.440168964042428, 65.460568602933037, 65.784785033374177, 66.563454043891042, 67.716764521606521, 68.367370388988732, 69.353748607516081, 69.44225327672379, 69.995947513237667, 70.133004142244943, 71.95177964551975, 72.65731518989314, 72.694263202084713, 72.954167015020872, 73.140651656005971, 73.260465789231773, 74.927974681118613, 75.584807627194181, 75.747799762567269, 76.07794052169487, 76.509210827683617, 77.000658983124893, 77.424760178351505, 79.135454710588135, 80.148188429688233, 81.782841373144734, 81.848659761837098, 83.527509886030529, 83.91626453850526, 84.327240262820908, 84.516456167316591, 85.29886648106374, 86.545580651750811, 87.437108621366463, 87.818195394337437, 88.233952009805208, 90.931279013635319, 91.733904435730906, 92.866729477135394, 93.519310159945078, 93.824378799501176, 96.883828444041029, 98.18106492584802, 99.079522095434868, 99.878501414940217, 100.59999798984553, 100.94898906791498, 101.04549771847475, 101.28641636463726, 103.21763028108502, 103.95284769968086, 104.85701157650365, 105.33644164219123, 106.34680265402277, 106.38816208670102, 107.49455056227848, 109.68662479184124, 110.77460926226392, 113.59692951847391, 114.34849122854713, 114.69613905004792, 116.10780649943933, 117.22346553916694, 119.52504621732314, 119.71216763881326, 119.77114233246454, 120.15255244079943, 120.61469015798636, 120.65447953946691, 126.90061767537094, 127.29012443195813, 128.22242344203937, 129.42865755035561, 129.67905742898012, 129.86628128376421, 131.05435702874024, 131.55750053270447, 133.57382140865005, 133.94377261171016, 134.03408097027383, 134.20952970609841, 134.4456624707538, 134.80655823614478, 135.23314494753834, 135.89881385191546, 136.42012129030482, 136.70070879473781, 137.08865897506027, 139.33103682323463, 139.47689623092793, 139.69095348946178, 141.20953524272954, 141.7059078410187, 142.57949360339191, 143.4869510927301, 145.08505879335755, 145.12614955517105, 145.3098214307382, 146.12310871958056, 148.30287237721546, 150.96001823865927, 151.69953160919127, 152.40785072026659, 152.56796077756803, 153.52181936267394, 154.063215197798, 154.7885688468651, 155.58674210824674, 155.92385593615063, 156.24967199678838, 156.73301172159324, 158.09630836547248, 158.43429059657399, 160.29732173158104, 160.74985443692088, 160.87857169177192, 162.97422912619498, 163.81856275125767, 164.12697112856793, 165.63495972887571, 166.29809748587678, 166.7963830333872, 167.06115146201913, 168.69529880749639, 170.27128034834189, 170.79176525386578, 171.69134600532635, 173.36193604917804, 174.47085173375291, 176.20034698134015, 176.89551638523358, 177.36728045011014, 180.57856436365381, 180.65293961133938, 183.91126330856895, 184.24200618271814, 184.87250227236271, 185.0362346895443, 185.3368453610384, 186.22800836555999, 187.48199949673133, 187.61700618339853, 190.52539529205276, 190.64231630755745, 192.13265748543165, 192.24310864137476, 194.20049989572468, 194.40158727026596, 194.78950327814971, 195.83749836142414, 197.12270424540611, 197.82623506089027, 198.73655470345318, 200.55026810631131, 201.61166371260066, 202.86573292230383, 203.26966515526956, 204.29484269706742, 205.11824022257451, 206.16640564766334, 206.20406423142404, 207.1146567099714, 207.55309500049054, 207.73890250388843, 207.95148069957153, 210.26442200255633, 211.57681798535887, 214.53452199758163, 214.65083724534938, 224.71056670225906, 225.30446944752856, 225.64058302216557, 225.80456621390036, 225.8493002682014, 225.89172774501841, 225.97844518421616, 226.47100247942436, 227.48832502328347, 227.85808987163273, 228.04681160518641, 228.27819091707721, 229.12020438595928, 231.28041632223577, 231.31394526806326, 234.92130441887312, 238.78643571906579, 239.53484063319991, 241.10788203327624, 242.01580888830253, 242.13905358167187, 242.61994071787251, 245.67103351509712, 246.01558712894368, 248.97025570129858, 249.38023323387426, 252.91313642984653, 253.92350191907411, 254.11352738862561, 254.28023853100117, 255.10818881643684, 255.36664049871573, 257.72548604219799, 260.20430792164274, 262.09677016518845, 262.13853894141545, 264.66228633942387, 266.25410141759704, 267.21520757503953, 267.50948958462766, 268.90270457429818, 270.17435607972789, 270.662408001438, 271.23249172889325, 271.84980994280227, 273.67999912261348, 274.30473096033484, 277.01262501764478, 277.23755216035948, 277.32874161213442, 277.64320836245855, 278.3243319185986, 280.49984946039308, 282.26770547527792, 282.42529249807524, 282.83099625076488, 284.17747948306067, 285.03861471991974, 285.8795287951134, 286.30041567887491, 287.49612043174761, 287.89979509965514, 288.08503735441525, 288.94624904850014, 291.1504664447009, 293.99329782951446, 294.33528058128167, 296.06469444673297, 296.98499973616515, 298.24777459503861, 299.00956451738131, 299.82861835047538, 302.1295320156965, 305.83291251100917, 311.33232002849104, 313.84045341936098, 314.2504102823122, 315.04211228069056, 316.89871106331162, 317.69319088614964, 321.49066071422573, 323.10283349767684, 323.33633508442642, 323.58622549206984, 324.67366260576614, 327.27038790320336, 328.20990594190965, 328.7786573871345, 328.94110284608956, 329.06870094272608, 333.51140399401856, 335.02774904818966, 335.70164224923417, 335.94886020230661, 336.67097418737586, 336.99679910970315, 338.00196100770006, 338.69121951755687, 339.89564938593287, 340.06923460217871, 344.26433781288586, 346.18293975942106, 346.86445265442109, 347.23873665131566, 347.33291351541914, 347.43750324611386, 349.74783301072898, 350.32736778115833, 350.8918294953566, 354.24583748405701, 354.5927717372208, 356.53638372674675, 356.75696303902618, 357.12945882607841, 358.33969357752488, 359.42929855310211, 364.04027946290665, 364.5684509113529, 365.19468664357788, 367.81619827731055, 368.14336238938006, 370.24910682631679, 372.70248618549152, 372.84589509520202, 374.06451662479799, 374.11964266715086, 375.33508920181788, 375.66331691715391, 376.72529960039077, 380.72655243829638, 380.9004900782507, 381.42297600952094, 382.71426638765899, 382.88387446231377, 382.94754185001182, 383.23641156447786, 385.89616353451015, 387.311147958155, 390.30954761340411, 390.82737039018758, 390.87903252425002, 391.68123971040677, 391.90294362455484, 392.65173909841849, 392.7931976769284, 392.86154512748783, 394.17980977671527, 394.97049989243055, 395.32658803002948, 395.60453890335759, 395.7234399848046, 396.58810654809412, 397.29396656571475, 397.62902089747882, 398.89140690014278, 399.4344977752653, 403.71075546873362, 404.16819828956665, 404.20907927793917, 404.26886947144618, 404.78695376024143, 407.285839651446, 407.42721600666795, 407.50482691993591, 408.42902116672099, 408.77645477057615, 409.92887758656383, 411.11768323400571, 411.42091410928668, 412.44454760155736, 412.64837474425622, 413.6259347295312, 413.66160206278778, 415.03727694649183, 415.19317476742742, 415.63160496456868, 416.19089100715507, 416.25580343016708, 418.53195719756962, 418.67381249288189, 418.72728902763663, 419.38035728101357, 422.08593325944003, 422.82961223531294, 423.29473433866775, 423.71656845481192, 424.15426913121735, 424.17761543519231, 424.99492992187248, 426.05524374620194, 429.13372715834623, 431.19867761139164, 431.98437348593103, 432.12673911971899, 434.52764087955308, 434.98118838361074, 435.05887610901402, 435.66808793672334, 436.41521985709488, 436.84370517777228, 437.71654360365989, 437.84235483232345, 438.66366170737444, 440.34304343488964, 443.77649777830266, 444.46931468128065, 444.54186865941801, 444.65448020085159, 446.45398860978054, 446.99298612908478, 447.85494699056534, 448.30792277593616, 449.57837686180852, 449.61286154783318, 450.78034224613612, 451.21993405194092, 452.09619284218451, 452.21941289375735, 454.00616731152041, 454.27794406283527, 454.92202400087939, 455.56460778613751, 455.62678161214075, 457.68790223099995, 458.83302208575645, 460.08034231877491, 461.150750068229, 461.97433152841808, 463.30722333660896, 463.78720461277425, 464.94638878339714, 465.46606249183128, 466.12849037297343, 466.31296968376108, 468.19629778603809, 469.68489644164907, 471.3195479962742, 472.92966168031433, 474.86471504608869, 478.333323033076, 481.14348761667861, 482.76397046627733, 483.35818535175599, 485.65872642693773, 486.94600305172617, 487.30815427387671, 488.11184554390979, 488.35494217963196, 488.85998881741932, 489.21245388526819, 490.55163374938371, 490.66241836567201, 492.4373791321043, 493.21569988142397, 494.53072952971098, 495.76242679783809, 495.83114714075805, 495.98643234173772, 497.18723665375461, 497.74959352627849, 498.07655966135064, 498.200067428669, 498.76765643321579, 498.87622793992819, 501.58110986295344, 502.94731918386447, 503.45568148423689, 504.01074310971796, 504.37566371233146, 504.84207105041372, 505.19095680869958, 505.4439533976394, 508.22234570817591, 509.10356101481085, 510.62153560535307, 510.76882334266941, 511.38079124042366, 512.09065996807522, 512.64819305875517, 514.04192340833288, 515.14736545199571, 516.72477671330284, 518.14570354903435, 519.64470867781051, 524.93353241709212, 525.14259784147123, 528.46427381938202, 529.8728160315402, 529.99525108943772, 530.64078770753804, 530.93737821515299, 531.3824810095133, 531.68854761904686, 533.14991762616262, 533.75357658172334, 534.11627671179326, 536.89666028670854, 538.03165257474689, 539.20658068935438, 540.8935487506094, 541.53089920824129, 541.76674104038807, 546.22844949673959, 547.243425211464, 548.82048701098006, 549.01677838794819, 550.82567553597721, 550.88220145449748, 551.31031532209352, 552.22239906624009, 553.58504532007976, 554.37282268118997, 556.15176332305248, 559.09926499471499, 560.84669932367694, 560.93747505580598, 560.97836821693954, 561.21326443839087, 561.26380839701642, 562.57727046822777, 563.07579621026377, 567.12210641702882, 567.29058172800023, 567.92452173981144, 569.21056287200133, 569.94979861265119, 570.00745039882429, 570.93323360777276, 572.05095681839362, 572.37057414095125, 573.62117277843038, 574.2950285724263, 575.4762210668332, 577.43600339843476, 577.53551050316787, 578.29984873449951, 578.38673251071293, 578.63511871853507, 579.02804872954596, 580.76382567170901, 582.81727658053023, 583.24257279562585, 583.37992519568149, 583.47763641061408, 587.22360844031493, 587.96054062332337, 588.61391309809778, 590.17950009545223, 590.84028999763177, 591.51917420460939, 592.61320002561877, 593.46054995666418, 596.56960983192835, 596.98239615535351, 599.56884111063766, 600.00186309078367, 600.37045402198487, 603.45205134156743, 606.69934421237315, 606.8861557718152, 607.12581984852648, 607.71327593326862, 608.25207090566266, 610.04686601224807, 610.53963952564072, 611.53992800181857, 613.67457597316093, 615.50780103007969, 615.89235894199942, 616.21608903821016, 616.68155975039701, 617.27262888830069, 619.32777396051586, 619.54328098478243, 619.65584352099643, 622.38650911069089, 625.2249418790077, 628.41779081968537, 628.79275736109855, 628.85109010639701, 631.04152982259347, 631.39663599890957, 633.24865632033186, 633.47862971450263, 634.75354036164765, 634.92232213663749, 637.11932015813625, 637.88069425166623, 637.95755364928732, 639.75986112649741, 643.80613247935321, 648.74611145261952, 649.60442520885431, 650.73988827759911, 651.91547169916294, 652.04901248761269, 652.1266956518208, 657.91371108434475, 659.52019136857575, 660.3635224339381, 660.68163157842639, 661.2557058925845, 661.43395245193165, 661.78575955961901, 662.29033429036554, 662.54712009290358, 663.32959534799124, 663.87857995945342, 664.29036383041807, 666.72160711547929, 666.76258612838183, 667.16627347507176, 667.26962072214872, 667.77684800843144, 670.33021903990175, 670.40775565246008, 670.79497908159783, 671.34631015328705, 671.49192603577319, 672.52620903306433, 673.13241007282477, 673.18528110323643, 673.50803931788641, 674.6790146645186, 677.02183210910812, 677.07691526598285, 678.13527760479701, 679.69926754960568, 679.98304272758196, 683.96692145299141, 684.72578490435455, 685.41861626013269, 685.66033986694424, 688.54088035540906, 690.08055013372848, 690.40531002238379, 691.23511003844499, 693.83982567869759, 695.21223400175654, 697.48493922021419, 697.80097004301581, 698.43084902149928, 698.8380660061548, 699.91973743516451, 703.81679481373362, 704.43576446836425, 706.3861811461453, 707.08723437147455, 707.3536257308175, 707.7233466596366, 708.16217043296376, 708.26391755435009, 708.41645922677833, 708.57863240558356, 714.51381120473013, 715.08919287145989, 716.27453144716014, 719.88371023199079, 723.20334086590401, 723.93702126641494, 725.7529453356118, 727.14833338651181, 727.55739445253903, 727.78262360987037, 728.61964645102137, 728.80417689480157, 729.51952477528846, 732.45095602233846, 735.33649304484788, 735.45634585553228, 736.61310742254193, 737.3832520506777, 737.4447994140296, 741.30836613188978, 742.78233489448144, 742.80369127148936, 742.90441636574144, 744.41225692578109, 744.96325536541462, 745.53873322981144, 745.8271881978244, 745.92036062150521, 746.50790924927765, 747.37531618322464, 749.04757267045409, 750.7187561143221, 751.52250532878247, 753.57049018385601, 756.14376210330954, 756.31020539771635, 756.9199214449003, 757.32987508185204, 759.73073664389301, 759.93908502478689, 760.48349584863524, 760.73835966468994, 761.22349357276562, 762.66162347778595, 763.00212455735584, 763.14038314480604, 764.44663481576504, 764.87133793903217, 766.05605535875691, 767.51491436723779, 767.78340894379596, 768.78286293011342, 769.29294235438533, 769.74713780252068, 771.5789608532391, 771.95613422894019, 772.0013983574753, 772.10796600878234, 772.59825257279033, 773.26501002810062, 775.21041685271882, 776.11809770034949, 777.63253210370374, 778.69290171957073, 779.12010730415216, 779.43722775092374, 780.96370639312818, 781.7837729249552, 785.41649153446281, 785.83608391236464, 786.20905075791541, 786.55058644792473, 789.72443680729248, 790.11827338833689, 792.69398328898376, 799.0103660407151, 799.68729858005315, 800.37062095194699, 801.16055148198006, 802.68294611978274, 802.76359104732887, 803.41149330865198, 807.17101697512226, 807.68347158176584, 808.40650248989505, 810.44815790272389, 813.02739088000646, 813.11711916898969, 813.1850596143928, 813.79362520206757, 814.01844584814285, 814.13436281192696, 814.70735657690409, 815.77706316154672, 815.84370241703584, 816.87829428005546, 817.03519192736246, 817.10836172750737, 820.04076418354418, 820.90167425323136, 822.21501759972182, 822.4458538257802, 822.56775785644822, 824.08366118853382, 828.26756210594385, 831.04018698513846, 831.38901760934209, 832.12655660760845, 832.78799873363278, 833.20859521223838, 833.25293859193937, 833.58029337855328, 834.07468164801435, 835.0380949616623, 837.09330251071481, 837.38593252965256, 839.05756416304428, 840.35769487400387, 840.4405805946393, 840.56369196024707, 840.64074328623644, 841.48820369924215, 841.72994543154732, 842.33154002967331, 842.49824712397799, 844.42237655320969, 844.9594744991922, 845.08503249632952, 845.18054983456761, 845.97421063385366, 846.18815633895554, 846.76046534432999, 847.07045352200305, 850.4443766181106, 852.43949371843314, 852.67150333463519, 853.06626940139552, 855.84594028967945, 855.97315506203677, 858.88961823772979, 859.86058748868788, 860.39839989443533, 861.28315214610075, 864.41940272755323, 864.67045643915912, 865.37611118200289, 865.63748323529808, 865.67379481357386, 867.04348199063975, 868.83778438356921, 868.92967287780482, 874.46878960641516, 875.12423540495729, 876.16645610105388, 876.30326609633869, 883.00245365842636, 884.9158533275131, 887.69891640179401, 888.26846055710132, 889.98186835804381, 890.74741839177921, 891.19979229824207, 892.44035494288983, 894.34578791682077, 894.7375339032219, 896.16705014847639, 896.75923946919511, 896.84667432760421, 898.56419094148089, 898.63566687821867, 899.15265190255275, 899.73148399491015, 900.40964457427242, 901.56049329980533, 902.47810338679699, 902.88315255634029, 905.32317446799777, 906.26173536776969, 906.45276412255453, 907.48192462202894, 907.81480765860567, 908.13984602124594, 908.71840113682651, 909.21364703860081, 910.99239894685127, 911.25940950177664, 912.58694645252831, 914.45734929889591, 915.07108657012679, 915.53298164173725, 915.55557205217463, 916.12689765863479, 916.32326754074131, 918.11432326349416, 918.9579008736705, 921.0956467659347, 922.91898663726465, 923.73909186460855, 925.68811471681784, 926.68916935859386, 931.49848816008284, 935.28126299309383, 935.34186449594256, 935.53903496229566, 938.09993142830035, 938.3294112839809, 938.66008661901333, 938.94006614172213, 939.12432151712437, 940.64081771423537, 942.63580641842043, 944.20970570348834, 944.59935079147817, 945.2990453618296, 948.63674869151032, 949.60691002690646, 950.52965258118138, 951.80301264164302, 952.30530883977258, 952.34122474901824, 953.1037430260584, 953.2484021798798, 954.66048035141853, 956.07680035563078, 956.22231336140169, 956.40589941551195, 957.91458403974491, 959.60064229231773, 960.41021410450742, 960.52600969672289, 960.62503414738296, 961.12361485188046, 965.29239592843385, 965.50072385438932, 966.28107927506892, 966.51148143343096, 966.57144405460326, 966.86247233574568, 967.7569902202863, 967.84682532954605, 970.38893511503102, 970.83202912108982, 973.07374028804611, 973.84935034050488, 975.71163615854437, 977.66588134586686, 978.05757199124071, 978.63543856751778, 979.13027530270381, 979.88057767740099, 980.76754305462907, 983.84517106759643, 984.76771072452618, 985.02980571126511, 986.12224173783397, 986.23042272407611, 987.15177763118015, 987.69395935595116, 988.56616563210889, 991.15152166243479, 991.76528504539385, 996.22980440196955, 996.69443530543708, 998.45861046457583, 999.06580506456942, 999.50936047693392, 1001.0814325515344]),array([72.471159755643328, 73.159934216754124, 76.583072274621955, 76.789893795995852, 77.48204101539018, 77.796832891403881, 78.590682344204197, 79.273334995361253, 82.539281707700098, 86.419504753651125, 86.932392702197973, 89.042212960704276, 90.381782745729993, 91.120349669832351, 91.948503603660654, 92.064313173234666, 92.169231969227738, 93.590047052250284, 94.694784193165404, 94.811126899855765, 95.625284458739046, 96.41056160019312, 96.694816657873943, 96.953336386643713, 97.335736723429278, 97.595415273141526, 98.214674351692224, 101.35688553638907, 104.00941660387029, 104.54257677374515, 104.74069000724693, 108.3031561458838, 108.79074183836678, 111.37681729211232, 112.51580231264396, 113.6867909280642, 116.73542324792834, 117.01299200408747, 120.3803109113105, 122.58840091702133, 124.84688249817822, 129.33092158003407, 129.68739326968966, 130.1660146506471, 130.60346525222639, 131.40921381050089, 132.87908056840985, 135.71581391289547, 137.16170885182288, 138.07278945451384, 139.95200821664156, 140.62025247027458, 141.68313194029741, 143.76561139237964, 144.7446151502001, 145.38022562628294, 145.82508853515793, 147.76199170944022, 149.67222808357741, 151.83601923885715, 151.94121085620972, 152.49785726452768, 152.69945818863837, 153.22807208065939, 154.95769329714651, 155.87777977857007, 157.55747512489106, 157.60913423242823, 159.48840452304501, 160.01738815853875, 160.25531238092893, 163.14433988845943, 163.79276017724129, 164.32323805769778, 172.6311876615039, 173.12471006763752, 174.26309117376627, 174.83080377824001, 177.44032664085441, 178.26072680706508, 178.39927525565957, 178.69986399133194, 179.36850474231679, 179.40734617081043, 180.81745637033575, 180.90219485407764, 182.79932805283116, 184.71579639542472, 187.42286536179151, 188.37051498941469, 188.57723399854999, 188.68962474159218, 190.1586835359999, 190.37207849205979, 192.92415915515789, 197.42508995548454, 198.31842405538234, 199.06812953939996, 199.19021086041639, 200.03118271607016, 200.16589484848834, 200.37242707395876, 200.48537197340318, 201.59861319330241, 201.74291435190986, 202.98192232884665, 203.68871266347469, 204.27060088658274, 204.57562278020447, 206.04979198894259, 206.31484142596079, 207.54826169141273, 207.63292352573464, 207.940411724417, 208.83546596597171, 213.45634270873614, 214.69033001295884, 216.35425062461044, 217.55616827398362, 218.42823498976927, 223.38795946703823, 224.60972336458784, 227.37829892561683, 229.53052393605631, 231.05350010536191, 231.27268610049697, 231.45495438557674, 233.34751640599578, 235.14425957947583, 235.7974345650519, 236.66843749632002, 236.78343805670764, 237.02577644566082, 238.9782474794375, 239.54208861000239, 239.75612520621675, 240.68489334390657, 240.98722500257784, 243.07118030278684, 243.09901259514569, 243.31039512076251, 243.48382748087209, 245.2379031225411, 245.32803269066719, 245.94802744778909, 246.86263967325803, 247.59785732308765, 247.61890188780333, 248.6936156609645, 250.76606602075282, 251.16939899006113, 251.97346034005409, 252.26593533619177, 255.91138471902596, 256.11496694647531, 257.11975661954818, 257.47363057687829, 258.55551768324796, 258.60342905173462, 260.96319987045331, 261.33898794135047, 262.50686489599201, 262.78207398692786, 263.5139613090011, 263.61459690120131, 266.557989468865, 268.17751866056057, 268.90983810523767, 269.58066418288172, 269.95125421330022, 271.37841398038023, 275.65522318220286, 276.59332141513039, 276.75656477652797, 278.70231290647325, 278.85621018904152, 279.99238016475351, 280.36373978209497, 282.27961696733865, 283.99767843699613, 285.00658764860702, 286.28801077277041, 286.58478275744312, 287.13171872465097, 290.11958157074952, 291.43535372869877, 292.58571484643352, 292.94085716930772, 293.55249786887953, 294.19829525508118, 294.40055020181495, 295.04216239251701, 295.79655094475328, 298.16271576033614, 299.03554313628155, 299.55310150353853, 301.97983180867743, 303.25517003521861, 306.34373227780503, 307.67467693704612, 310.17328160164755, 310.66178713090579, 311.89266184616247, 312.08042863088116, 313.57557137233289, 313.81101216187443, 314.46610890636725, 318.23875017925474, 318.35582406466176, 320.4802393629887, 323.67882242570994, 326.52019693650237, 328.15140358308645, 333.89804790610503, 333.93902100318968, 334.25054296155366, 334.38797400135667, 336.36054547012128, 336.54491919049411, 336.612919203145, 339.44889465914974, 341.34510362616055, 341.44551877144022, 343.16538317782891, 344.70677956605266, 345.23472175628063, 346.73925243808662, 348.98447698088762, 349.74975313210626, 351.7727012319645, 352.12676281559573, 353.32210908194457, 355.66075055901626, 355.74353878247177, 356.41472597172032, 359.7401910574672, 363.68733411435176, 365.18262144034497, 367.74652344126713, 367.86171177774605, 368.04583523711563, 368.25358881553609, 369.69744922596914, 371.26561283272031, 372.02626937969131, 374.87884395560201, 375.61396126993026, 375.6402728604258, 375.8653050742011, 375.96160172301131, 376.49812952528754, 377.04490298103138, 377.24614610817326, 377.73019165340082, 377.88369051191529, 377.90579763394419, 378.43320679391894, 378.50389699380634, 378.68556490982508, 379.25521556828198, 380.51985942347176, 380.55240117043297, 380.88723728391079, 381.51739631964466, 381.72706000020065, 387.05964615936296, 387.52738769851527, 388.45493215483015, 388.75656993026689, 390.59597417417973, 393.7674024671079, 394.68748612072585, 399.09066931935712, 399.56742199583152, 400.21249837620866, 400.92384835220236, 401.11800591305882, 401.60049858754576, 401.92979804962687, 403.13761865883436, 404.6349496674481, 405.3412323042067, 406.90846580976108, 407.27429573695991, 407.41594568352514, 410.95623519559985, 411.40353456743219, 412.34949272568434, 413.32182947174607, 414.04405229198056, 415.87097099018337, 416.69366272187932, 417.21475954073793, 418.45942082432083, 419.37044361359841, 422.82560461588861, 423.55835220993481, 424.41774546159974, 424.66923740838013, 424.94880079795269, 425.71258146372156, 426.05139514325992, 427.91574937583738, 428.08499274850129, 432.02552272661489, 432.689283201595, 432.8510701714082, 433.15707310781215, 433.228236812982, 434.04825425060824, 435.08490765329992, 435.3749359670735, 437.82836229579516, 438.89177100567332, 440.50421512884549, 440.71606758769735, 441.12402517851012, 442.58250600218008, 442.82667272864262, 443.15110183207798, 443.55289673901052, 444.25498666339246, 446.21532650638926, 447.21044611939107, 447.77506120922567, 448.22467864315274, 449.39590537497486, 449.72399498774206, 451.33369454845183, 451.4085440495079, 452.6754273090047, 452.92098182149618, 453.75428387332113, 453.92656869648704, 456.84434893136279, 457.03866361456141, 457.52068285221054, 458.01247071510682, 458.62497504650503, 458.83967986840759, 459.247528665809, 460.53201591480513, 460.61040924426851, 461.07003739813746, 461.44550548239005, 462.1261543644909, 463.37995374334929, 463.51942983203742, 463.83155992210516, 464.609346859901, 465.9176339727141, 466.02356061071492, 466.60221628306311, 467.15658490230209, 467.25812762588407, 469.84755626674547, 470.92019573847898, 471.36645646340145, 471.96325673939009, 472.87066782709257, 472.96330665440593, 473.97561367629481, 474.01638325533236, 474.14329353220347, 475.1576074201509, 475.54851771280488, 477.79002725049475, 479.02991921715966, 479.49403115025189, 481.48496697556766, 482.21356114621403, 483.60954004358405, 484.76008284283205, 484.79880849211963, 485.35039604093959, 485.86959598994855, 486.52297489500143, 486.85343339286328, 487.08968320592834, 488.0544493912754, 492.05367841220118, 495.7087052769121, 496.22883279432517, 496.36114004861918, 497.27117904027119, 501.11433351621889, 501.44930827416079, 502.23733254966515, 504.98521063536271, 505.75596654929154, 507.71655957498871, 507.7904202193883, 508.7184690704417, 509.22748701424013, 509.67217579389018, 509.90739561209216, 510.14798175543973, 512.27357095413402, 512.45523595223835, 513.41178985036549, 518.02407584149444, 519.49806010553311, 519.89480184417164, 520.10161432985456, 520.45678752038941, 521.8487259097318, 523.91596381699537, 524.79771333270753, 526.23693861967286, 528.22249030102319, 529.14680494225593, 530.11567384919442, 532.56597550361573, 533.77166836487561, 534.58402760396393, 536.31769323533604, 537.6912870326305, 537.94524758150567, 538.54519359299593, 539.38585455988493, 539.83382170959248, 540.15234280438426, 540.62808589805854, 543.2470282718765, 543.34203965050506, 544.14455156280712, 544.36946179304107, 544.71320070381569, 545.1108549013702, 545.19346627399057, 546.97619679118782, 547.13945703512184, 547.19819819888039, 550.13012688891865, 551.75708646156284, 553.34841000653751, 553.86262217397314, 554.39985470601869, 554.72835539448238, 556.76755274118375, 557.11641916495262, 557.50483567556148, 559.17356939607225, 560.03356314245968, 560.2940417342644, 560.65711260078342, 564.40515351791828, 566.81683346450222, 567.94790739064251, 568.32797004414363, 568.97043840693755, 570.08780186151671, 570.29636937590453, 571.94771585745525, 572.40039305168864, 572.68261832238227, 573.29592471077592, 573.56135507767306, 574.38843582836864, 576.35304343444125, 577.37224551262011, 579.21551689689704, 579.83627151944381, 581.61641300440795, 581.71152997277341, 582.0878614702001, 582.24912764829583, 582.94953537951324, 584.09533706454954, 585.30382041956841, 587.69743322887018, 589.66195508976227, 591.25083319257419, 591.52982795083801, 591.65832977761011, 592.07179323877972, 593.2597691379043, 594.02184611612381, 595.93175558761584, 595.98183986934669, 596.28795779601433, 597.59366154310931, 599.0040679773233, 600.37582661590943, 600.86056388648899, 601.89201737498604, 602.35184800047637, 605.29759481649614, 606.92646203391359, 607.15263254745946, 607.21005208354563, 607.41489450156394, 607.63456328637506, 609.08737612829805, 609.39888765402702, 611.02326578892632, 611.43121408722834, 612.1534204075291, 613.37450828759518, 615.60819886407364, 616.01368794240443, 616.92351246625105, 617.03997460833943, 617.32547445011835, 619.28825443092444, 619.64938932146549, 619.95010087099502, 621.44890807874299, 622.19135722365399, 624.29417492623634, 624.3987348500483, 624.89324155586303, 625.31593910336858, 625.97448807882711, 632.34907229109626, 634.03615505040102, 634.09625156713082, 635.09520404845864, 635.23491827440716, 635.45544358505913, 635.68054556899972, 637.31442671490731, 637.56909694086528, 638.13353869868149, 639.5728317920009, 642.74668881696994, 643.8905955800152, 644.09653897934004, 644.45689048260965, 645.58525888201814, 646.79582982673139, 648.09194765944324, 648.47468058834124, 651.22737760563336, 651.72278475284736, 652.16711675610918, 652.69740058489015, 653.19741997475023, 653.29113867650642, 653.63094756127089, 654.7749158627704, 656.25734128950171, 657.66143655896099, 658.79810092129071, 659.01277065182774, 660.58435435487888, 663.79663656126365, 664.03666395810171, 665.59161431048426, 666.01000235867639, 667.37056213207302, 668.438868629068, 669.21755900093115, 671.60594697197985, 671.90274146796889, 672.21492193847052, 673.98861920719207, 674.3828440907314, 675.66183207287349, 676.45425250669098, 679.09439481226048, 679.66398833024414, 684.45851489300094, 685.6784257968477, 686.14844416863252, 686.49409923987594, 687.79852095265369, 688.95357194065832, 689.91455385328516, 690.67009752280796, 691.01856159942577, 692.11735252342964, 693.24830950765102, 693.29514391897317, 695.94891883214802, 699.79675057913357, 700.99894461673864, 702.40837994756021, 702.8336974169423, 703.57172641809257, 704.01017964222513, 704.99579701517473, 705.45456881546556, 706.60195301768579, 708.70616966065984, 709.54778018128877, 709.72505473402839, 711.72666204112681, 712.35553270874232, 712.54054596055755, 714.33275804087566, 714.67849487642115, 715.57375015483319, 715.83955065745579, 716.35923657853505, 718.1160293868918, 718.74634048633527, 719.30749573750973, 720.29504839096921, 720.92122878890837, 721.24395636271663, 722.64226096671916, 723.47509420061147, 723.51569500079313, 724.37099251443806, 726.36900778778477, 726.47799571981113, 726.99365712824829, 727.1887739777892, 727.46409597352397, 728.19078453303177, 732.23905037459144, 732.32310395641014, 732.83401824999044, 732.86450437648148, 733.08602891045518, 734.65834766226487, 734.96078369894735, 736.85374554069062, 737.01924124070035, 737.70219404728948, 738.23605127577571, 739.25085367961594, 739.41041041239055, 740.02468604927583, 742.38044797478244, 742.42684417158216, 742.68775635577447, 743.00662417834928, 743.27684237696985, 743.54098398866427, 743.64000832938132, 744.8533605278584, 747.16325090695943, 749.48517261566269, 749.78258612057743, 752.81014990058179, 754.23841394261831, 754.37332773824232, 758.52307366189575, 759.51004332310197, 759.79559613458662, 761.31668449018878, 762.08630808206772, 762.20384174756805, 762.35713334113916, 762.73694523146253, 763.72368515982623, 765.4559932913869, 766.10008924745136, 766.94548290362241, 767.30410803630514, 775.36418028437834, 776.9970639673478, 778.47683956080232, 782.07558947971984, 782.36906370232941, 782.40130453841471, 782.70664860726345, 783.04497954480019, 784.04857294043131, 785.7223847913433, 786.85053687316508, 787.45966402574845, 789.46091135549716, 789.86890167312686, 789.94454558668258, 791.22521670862318, 791.39722920817769, 792.42866719695951, 793.0406528727375, 793.55861480038777, 794.89123288967062, 796.91143571644693, 797.35855283922206, 799.10292518195547, 800.55119577079768, 800.83606759259544, 801.37776381277979, 801.63068442839869, 802.3755724576331, 803.52208975621988, 804.69658732734308, 805.62259526760295, 805.89951354021991, 806.70406344021637, 808.22258984870098, 811.09144689127174, 811.59661521763462, 813.00250738456657, 813.13489691274026, 814.06743760163533, 814.2431060727605, 814.28658455877473, 815.33094212505796, 816.22743412257284, 817.38715615830597, 817.89938326705817, 818.57977622944384, 821.55331078659128, 822.8109525880584, 823.64982055513485, 825.83634395623847, 827.23090245483115, 828.11924117774868, 828.94198080698288, 829.55905606802025, 831.25188129093374, 834.61317864089222, 834.87619800367816, 835.07333255979631, 835.56824112663412, 835.61921210174273, 836.97552462815577, 837.26554016978173, 837.35861734285959, 837.47181886918327, 838.01837318361572, 840.28412046413018, 840.52550704824455, 843.60086522525296, 845.67205934808726, 846.02964955753737, 846.8492923775043, 847.32111118608896, 850.02147031972186, 852.27636124055437, 856.5636961405545, 857.52210465031703, 861.13032218857393, 862.5691843984057, 862.62252285753709, 863.69678782843459, 863.83722072634021, 864.10788547814172, 864.57199305660401, 865.58223397835047, 866.1287172111231, 866.25543950598399, 866.28705511764497, 866.99831567286378, 868.39953843117314, 872.94808695532663, 875.69840243085662, 876.07197510875596, 876.31814925665753, 876.80348562415463, 877.29780155369781, 877.8931367279913, 877.95573052841405, 878.95503674792042, 880.08658345524714, 880.97730880779648, 883.5225435055296, 883.68133524469511, 885.43969162862629, 886.13530340546322, 887.40906846634618, 889.32295975644422, 889.39762697819549, 889.73038680083209, 890.02548798081671, 890.27360616834449, 891.49652859185551, 891.63904996849453, 894.22422778032785, 895.36356266626092, 896.11392301024921, 899.27853502157484, 901.5504185610223, 901.93585091690761, 903.25190685491077, 904.09972636333828, 905.91692174794673, 906.23068385167892, 907.37580920361654, 907.72240025701512, 909.07348497086468, 911.14645708673925, 911.31429369509408, 912.03998952130041, 912.10770527690045, 912.19066377726665, 912.40991631844474, 915.46855891024768, 915.86426239579453, 915.95173414415046, 917.61237126814092, 918.80464036073181, 921.33349362921069, 921.45516946899784, 923.48228465347086, 925.80861020114503, 925.92008238833478, 926.09299065336666, 926.51566882833708, 927.05643737519131, 929.26237344324261, 931.23746065593878, 931.69912601774195, 934.63594982185089, 935.27321114452479, 936.30264217096419, 937.98221004605671, 939.56832158405143, 941.33605522431901, 942.97205545476118, 943.63376953059492, 945.23550531893829, 947.54074610090504, 947.64629231869526, 949.2174465806869, 949.92696954932956, 950.21810738108252, 951.74089631427978, 951.95940106766841, 952.72357972674172, 952.89413833830872, 954.06671787250298, 954.41656816494901, 956.05908333658863, 957.02856158713507, 958.39190790100304, 958.6672805697184, 959.2455504274194, 963.95045434719054, 964.70560580631479, 967.51228130890036, 967.8955382458538, 968.05438503666721, 970.04311544027678, 970.79271745482629, 971.00544937357438, 972.19286266457777, 974.56256174383668, 974.61225826476061, 974.93786246358877, 975.4591301804868, 976.84123357947544, 977.1079866623038, 978.84993214786732, 980.99493311747176, 981.53528550396527, 982.31626975505355, 983.36941955913437, 986.03861465829493, 987.1063385209718, 988.83985641460788, 989.92797135686965, 990.17121743446614, 990.28967626580425, 993.72663676198363, 994.23242871875937, 994.75744586435962, 995.2648382656804, 995.37437627488805, 996.21533719057595, 996.67319648011232, 997.17096083767649, 997.39706496075109, 998.1697446995704, 998.39938037638683, 998.5401298374959, 998.70594764519171, 999.19444528703696, 999.8403161263999, 999.97063303344225, 1000.6706003935076]),array([96.541407825186127, 96.770434229459227, 98.602738315772285, 99.516943220773797, 100.65053894621086, 100.92522993798063, 102.25924845370731, 103.6321848758258, 103.90410878980377, 105.57384587494971, 108.39351832771284, 108.41742321925439, 108.63280324595495, 109.64982108978656, 111.00297463321985, 113.88304856939854, 114.05723199935726, 115.65188884661445, 117.9750890893108, 119.26025189954838, 119.47300072372853, 120.45181772791383, 120.88243360905682, 120.93923590162481, 123.09170985864206, 123.51366827022908, 126.99392386011695, 127.45073715657887, 131.94797959745949, 132.34381224133293, 133.07766931315464, 134.0337986191964, 134.55335531632826, 136.72426314154643, 136.8324445807614, 138.44493324807326, 138.56214758369936, 140.64341392503266, 141.21498464355776, 141.48848337413446, 142.86788708161689, 142.95790129320989, 148.51638131203902, 148.68845764510834, 149.36983290878544, 150.63257533074719, 150.99146179805939, 155.29556869018626, 155.35929611977801, 156.09971341460712, 157.95550159870581, 158.16100163132504, 158.20317803395793, 158.76325383490595, 159.14740599448629, 159.2307110237771, 160.46461759423207, 161.26215926967063, 164.31376346240782, 164.88947328718731, 164.94560089774981, 165.40552300804103, 165.86754521786361, 166.30477665169784, 167.35828303104159, 168.24388856688455, 170.7518620006303, 171.05153564377216, 171.68017894084835, 173.45173693055119, 173.60384853330453, 173.89484110902328, 174.11893211259815, 174.20326679652931, 174.79409269685186, 175.81902681132937, 176.27441563447087, 178.39794490974845, 181.30115740449972, 183.131716349166, 183.72277418470767, 184.99118901279741, 186.02732571591326, 186.52246416474622, 186.82029798279618, 191.34979486032361, 191.82294110985453, 194.51738934649299, 195.6976417979817, 196.18198115067582, 197.91954133741601, 197.98963910363773, 199.69090651308431, 201.13601248072075, 202.95440589276484, 203.01637237410011, 204.5640878882331, 204.65854644158421, 206.2540184875248, 209.44348682468805, 209.69909024514601, 210.22327833538631, 213.14615806010985, 213.24755678080598, 213.31181731942181, 216.27688251637477, 216.61780656430483, 216.69641030492744, 217.61374846614427, 218.05702289442434, 221.33116104183276, 221.61689308053266, 224.06739939789441, 224.5207417254465, 225.15149898849734, 225.41889727309211, 226.58962219255528, 230.39683731681785, 232.28718757427697, 232.89965545319353, 233.97787817799704, 234.23711967023894, 236.03270671770258, 237.26864335228674, 238.95924096858431, 239.14574065259231, 239.9326386375493, 240.40800933496956, 240.49883379923702, 245.19875398283159, 245.86717226210004, 247.44695861664107, 247.69737229167976, 248.94180465775202, 249.45016402861529, 249.56274319419842, 251.56045029254634, 252.23116821869039, 254.14211156522018, 256.14505867370787, 257.08814610443534, 257.50720560879245, 258.37380791658444, 258.66496979529376, 259.65136961440879, 259.67170767765623, 261.39660467817794, 261.52738391183749, 262.68793915161609, 264.14507846611434, 264.18331010768429, 264.5344077713944, 266.70584106887065, 268.13287007642157, 268.17524898837593, 268.44952773082758, 268.78592551617339, 269.05982151886872, 270.67359539620657, 273.51756536891156, 275.93609447620156, 276.07395857965781, 276.72809155156381, 277.14232596425484, 279.459717485044, 279.61437632619311, 280.73229832876189, 280.87264774495782, 282.48757989438371, 282.87638924628516, 283.04082476561297, 284.62370978735589, 287.32481203121523, 288.64365008216879, 290.92772006696617, 292.55276237294464, 292.62857976254594, 292.72012197641288, 294.08917697639441, 294.56568361459915, 295.18972141969033, 295.78266363088647, 296.207538970916, 296.90124395081153, 297.45084736187187, 301.89671300172108, 303.17798628518545, 303.90025193763887, 304.01313037292368, 304.41306886497927, 307.59363951820109, 308.45318259394958, 309.25824026542108, 309.82248701491744, 310.27546217065651, 310.63737799621646, 310.68316265113197, 316.97399417848942, 317.60301046531066, 318.32337990937305, 318.93524879597027, 318.98928935052908, 320.62613641605742, 322.25595349735653, 324.18870491361275, 325.10943250822294, 326.10765866597654, 326.2460971698892, 327.61243261913836, 329.08674242783565, 331.73102847040781, 332.56040393396665, 332.87010885592446, 334.30064069619596, 335.77170598605215, 335.83772790507612, 337.12713619869612, 338.47251665712866, 338.7883347179353, 338.98692877528134, 340.54816579961857, 341.84769127664299, 341.90564281362737, 344.07938488878864, 344.36555735155753, 347.56981467205304, 349.28308985478486, 349.43579111191156, 351.09016479845445, 351.65054180640249, 353.70062266614423, 354.36100366322574, 354.79088409524581, 356.09019411264438, 357.42600858015976, 357.58685381012543, 360.92029749046333, 361.37440017883182, 362.91495532770858, 364.37330951170122, 366.64256014470311, 366.89161883208254, 368.62782058191306, 369.50686990297891, 370.6790653824786, 371.63894707685381, 372.12450012307102, 372.28788916547859, 373.22705078446057, 374.72390137319871, 375.93903275999105, 376.23561014752482, 377.41963887987833, 378.07255892687209, 378.26506274272572, 378.76752786339847, 381.87277389321991, 382.89751568527612, 383.47964502050024, 383.60624290074867, 385.79197541547211, 387.84428137528886, 391.29224825905914, 391.56103026941173, 391.79741738167661, 395.17648853894019, 398.77605350921368, 399.15681831370972, 400.86647764508916, 404.09471076846495, 404.60649967209616, 405.23160151746936, 405.93324365268523, 407.16956280645951, 408.85655318593672, 409.10369446601351, 409.84613823051598, 410.34532805557069, 411.56646207734349, 412.48551040644793, 413.39412714770521, 416.86667187005099, 417.7095164780709, 417.99438897519792, 418.11869507298303, 419.04962930904105, 419.69788724846262, 421.089589030539, 424.12606797513155, 424.36549600300822, 425.47788995403607, 426.96064880481276, 428.13488306588744, 429.08978965085623, 430.04596901407274, 430.3690735464906, 430.47976906514543, 430.53891861234575, 430.57737264955892, 431.16121959999083, 433.04090606821626, 434.1402384669795, 434.70398024576212, 435.72475967304382, 436.08027468155433, 437.35833781517624, 438.23152408244675, 438.46585255818457, 438.59227685104804, 439.17881479014824, 439.67982507403889, 440.78159207644183, 442.16165194629889, 443.04126223655379, 443.66769914585768, 444.61505997727721, 444.66424275280673, 445.25549548178395, 445.62407655336261, 445.95484291464049, 446.7767457427297, 446.91716804851001, 448.55122718064388, 450.55334302177715, 452.64235823957569, 453.1169791290373, 454.02991499278687, 454.34794570051059, 454.63933042545756, 454.75488716568572, 457.99327497071556, 458.1914648864481, 459.80471144871444, 459.887086532193, 461.18988166625763, 461.68614656068212, 462.05751001840821, 463.12006260880707, 463.18450579498244, 463.4568709683158, 464.01652772361166, 464.98272798467701, 466.13041739281977, 466.75712069853518, 468.08676214830882, 468.48664670759257, 469.56147648149192, 470.97071295446847, 471.31434681036251, 473.91144695586479, 474.01816122245026, 474.09276498201939, 475.72779411581206, 476.48169311843998, 477.6691027328028, 478.29379861702125, 480.21337310190535, 480.55976527817103, 480.78253385774946, 481.47213866660178, 483.12162079433432, 483.75950789648334, 483.93007086052137, 484.1349951218574, 490.68346932432377, 491.59951240602396, 491.82005198314084, 493.13480657805576, 493.2276959508302, 495.14914743421463, 496.19343721163762, 496.37343637883623, 497.42119657941367, 497.59689714938725, 498.57353650171376, 499.2610803590087, 500.69628256477694, 500.883304095254, 502.12611734574523, 502.25342320928206, 503.27049717049078, 503.76098569629738, 506.13929898196892, 506.94365945316133, 508.1979600394269, 508.64918283900693, 511.16096174170491, 511.73319244725866, 511.9117457834937, 513.79518756475829, 515.20997008673623, 515.65367268755074, 516.8463316485122, 517.59135132350923, 518.25529405799557, 519.45748599793592, 519.54095742456309, 521.47803263260244, 522.16591169617038, 522.63615343680431, 523.63413309804673, 523.89836061002427, 524.23431868008413, 526.14098216336879, 526.49552886487879, 528.17372137401026, 528.92524066912563, 534.75767853681566, 535.46143515283575, 537.19173931144792, 537.71306043303196, 538.52709866217458, 539.95647026570214, 542.06730868997954, 542.46358958193468, 542.50846815280158, 543.57875728294505, 543.81830081895782, 544.91984518742129, 546.46797024061345, 548.65520534813652, 551.4064599846771, 551.49504122482722, 551.92029518767197, 555.57705647696434, 559.75587897245373, 560.3771700850242, 562.15308827588296, 563.95229896841033, 566.14850354302155, 566.96129559985854, 567.12251474111963, 567.70738038120544, 568.46050891449806, 569.77321629501125, 570.76085754259009, 571.3175936690559, 573.03378017775231, 576.45545751717464, 577.90094580895868, 580.49782996158308, 581.68646600631018, 582.06462195376162, 582.62163684554434, 584.33992489910668, 584.55161456906262, 584.59310011639468, 585.96355367795729, 586.97881598013544, 587.71971511690981, 588.22944620883379, 588.73086648488879, 590.28266153635218, 591.30374316133054, 592.21202384679759, 594.57526980529349, 594.90014392837486, 599.32505322765905, 600.27087509095941, 600.48775863961657, 601.47367585555355, 603.44245072799652, 605.01420073706561, 605.52347201324369, 605.71628802519217, 605.93289252402019, 606.87624935377164, 607.04652993055879, 607.14108311571408, 607.73389815696987, 608.14359770793567, 608.42588333656022, 614.11098587137508, 614.98146291129308, 615.20008749296858, 616.18720856729226, 616.67657648112265, 617.64242449400626, 617.71843745276897, 620.90995357830388, 621.85455044574678, 622.19234846003917, 624.47695441421718, 624.50101729403968, 625.66042843415084, 626.81248422695376, 627.00889549910607, 628.89490851253208, 629.10540758117793, 629.79572506496402, 629.8378923119177, 630.11041223010182, 632.37381221055091, 634.77543278910207, 635.28006331345273, 636.43745496086285, 637.23979030796818, 638.38494730714228, 638.98927177304847, 639.37745618686085, 640.0360704074626, 641.48592865509033, 641.54534326354701, 642.33949806317821, 642.66256599680185, 642.78798927622586, 646.99825362792899, 647.47670559575442, 648.82967163688204, 651.0998533536133, 651.35903305388842, 651.42934618044569, 652.04070235840038, 652.6384068933213, 654.55855026997938, 655.51745061907445, 656.03202086816498, 656.38351286398347, 656.91639645242287, 657.20068103333927, 657.768201189617, 658.51035365244991, 659.29455495986804, 660.23561389406325, 660.98775232629418, 661.65990884943483, 661.78439013099842, 661.97006299304599, 665.18316147399571, 666.79299636620817, 668.08920633735693, 668.27219995740495, 668.31692466711115, 670.42050613964159, 671.58294438446535, 672.38473433005117, 672.91339804052427, 674.05326078836049, 676.19371873710725, 676.31683359390547, 677.73262679684194, 679.02348638996648, 679.33596386517775, 679.35667652593236, 681.09021145474651, 682.25886379361327, 683.99761991576429, 684.54080632283353, 685.15299851111172, 687.23713167958545, 688.57285088269009, 688.59820964484788, 690.61442073587727, 690.66060113265883, 692.29026127612292, 696.22677594145796, 696.35424619543892, 698.46525030110615, 699.07301072352561, 699.47430472276494, 700.64168855710227, 702.14379908451849, 702.21794028077397, 702.5971586364625, 704.03202820178637, 704.20408794422053, 704.66609968243426, 705.5474903259684, 706.15219319369817, 707.90886682066969, 707.96964482727913, 708.52004656531983, 710.70951698912427, 712.88361025609197, 714.58038345769, 714.77869424627784, 718.51880448872657, 719.44209811992619, 721.05269077548064, 723.53682608382439, 724.18789814929642, 724.7811945014688, 726.35890524107185, 728.71334783741577, 729.87164107505134, 729.94769068978121, 731.02091046730766, 731.39435817262029, 732.00300979457779, 733.46764114818745, 733.60054474621222, 733.79686023777583, 734.0403124716629, 734.17040807604781, 736.34661423728835, 737.41460096075468, 739.27607718077104, 739.54360630326403, 741.25467370412446, 742.29915530855612, 742.63983000720179, 743.16364857700103, 743.60908627863125, 746.8647657781994, 747.2835357421219, 747.99972359388539, 748.42781566128872, 750.81317975169679, 751.0362689496252, 753.47110022574645, 754.16358348624442, 754.67025832143156, 755.24278639027818, 757.85505664521588, 757.92240818290065, 758.10588240890513, 758.53874621061107, 758.87947863241106, 759.64940199373234, 761.76146759834637, 762.71956321641289, 764.11962652204363, 764.9661039220008, 766.08766260138589, 766.64710383315503, 766.78232339226429, 766.83933214333763, 767.89631634786633, 769.34277020766842, 770.7560739229117, 770.99436145041898, 771.05340335023777, 771.34260163929548, 772.46437232656854, 773.32393263673407, 773.9691195097738, 774.2930313225196, 774.70592909505547, 775.52255473751416, 776.15755475260789, 776.83599685448326, 777.8183306917457, 777.95675697410593, 778.36678555098172, 778.5724062948525, 779.2629615754413, 780.16798494988586, 780.43464767692399, 783.14950975995555, 783.94073710338296, 784.16305026297027, 784.48146747354269, 784.69967932490999, 784.84130169560456, 786.86590381201108, 787.00538075126565, 787.32197581239575, 790.76673569873117, 791.20662502400273, 791.35532469208067, 793.27710281389466, 794.35499390897212, 795.8909080312344, 797.23669228116319, 799.16666021270396, 802.33613491141307, 802.54362350877057, 802.75083469525748, 802.92449326385838, 803.24237012738422, 804.03407825949409, 804.39412087884466, 805.01787192261668, 805.22524125936422, 805.35627329804583, 807.44809468747792, 808.34114250905122, 809.69321725030784, 809.73168155962924, 810.44072684614787, 810.75955259527007, 811.1666165588274, 811.59693704029348, 815.20098719707391, 815.48930475917848, 816.51959582750135, 818.28788670031952, 819.42022703343491, 819.88143626759597, 820.04596118089898, 820.32327501200245, 820.35483884206747, 820.4242599601339, 824.03938796951957, 824.29138577387596, 825.05460700389244, 827.08640090463848, 828.34362154958285, 829.37762592866738, 830.26376459448443, 831.40845354053727, 831.4608027797351, 832.15988792293774, 834.39084491636049, 835.12112047981225, 835.209336963954, 836.3563130597596, 838.35032183898124, 838.43724237698552, 839.37582502478801, 839.51682991537643, 839.73898918644329, 840.47423580469183, 842.50650665865965, 843.51483020386843, 843.96220408174122, 844.98362651576008, 845.34772344272824, 846.17274350066612, 846.70023545108904, 846.9793957891784, 848.18929462206836, 849.15516912950409, 850.14425328884465, 852.50071008467012, 853.82192050333435, 854.4673233315001, 854.93727771654108, 856.41639674255327, 857.15468916517102, 858.14589803285139, 859.04292623867855, 859.99073198638519, 860.38278436587518, 864.35956856257405, 864.77926022490192, 865.57979470980524, 866.98094338275212, 868.81278599998222, 869.43610453483711, 869.82379713103523, 872.34214828295853, 875.22231120838433, 875.25201980102861, 875.30476155015913, 875.78575692934839, 877.39487293467471, 877.81833664869646, 878.68930529690431, 879.61575148316808, 880.3696184227199, 881.0061033280748, 881.32257021029579, 881.68308279517646, 881.71516710680123, 882.37707657144006, 882.64844827845786, 882.99208055548831, 884.84217610414191, 885.40366389387725, 886.66956537322665, 886.78352405920589, 886.91997706109862, 887.49919099372755, 888.84377539036814, 889.42534354751103, 893.46114049464211, 893.99084987190281, 894.24887608546055, 894.29882078591993, 895.77081850103502, 897.03104435268835, 897.43538726917382, 899.93064155135971, 900.88413852120675, 905.27260704891785, 906.09206282832145, 907.01414136786218, 908.38727621303053, 908.50303884486766, 908.68132260977677, 909.3649288585857, 910.35643001151868, 910.42353890313143, 912.33726802553804, 914.09015968529081, 914.43894791138098, 914.5203929588132, 915.33793375155369, 916.49787096411671, 917.06293955494914, 917.27304179121495, 917.42228687685792, 917.46983896263964, 917.88759643798562, 918.10514212769067, 920.07328694271848, 920.87470792575755, 921.1036580060113, 923.06972922440536, 923.94554766797, 924.75219186053152, 926.26232877931, 927.18043926888458, 932.81728701583086, 934.45409523578815, 935.09906969739791, 936.32773275452985, 937.81959109740308, 937.8830733149299, 939.14454183818521, 940.23147581394767, 942.49195916060467, 942.70295434638956, 942.92818771700149, 943.26337763879133, 944.04337824282266, 944.77430008081103, 946.26755310887586, 947.33462366782135, 948.94504766792738, 950.76893073203871, 951.08276291913319, 951.31468696920035, 951.72358013147323, 952.49526766527003, 952.60186558812745, 952.74199504872877, 956.32554990977746, 957.14837744972249, 957.97128733344084, 958.7983391758861, 959.41591037083492, 961.23339977716057, 961.99313126103391, 962.78678603793708, 962.9708759459337, 964.56793877502525, 965.72570750337536, 966.1802779835723, 966.27891545456623, 966.83562784297089, 967.32424766761881, 967.54125418631122, 969.92296722991432, 970.16147780296444, 970.9611102136347, 971.56057988980831, 971.74697124866202, 972.8406011900388, 972.97862536517903, 974.45786196435415, 975.23311677180232, 975.4684375174229, 975.58762677649941, 976.08503361990449, 977.81819668516073, 978.04979527448074, 978.58236310265886, 982.32202885678907, 983.46641666149776, 984.0151794672347, 984.74280974991802, 985.15248400325754, 986.61852450642789, 986.74229691551329, 987.01005182307949, 987.41025026756392, 988.02548401668503, 989.30283629962435, 989.56214773563306, 989.63091806379816, 990.63074062583701, 990.93348059988853, 991.07710673186557, 991.13664863738063, 991.20495291842167, 993.77436620830429, 994.70460847543598, 995.13288578347317, 996.00957526268007, 999.39592814004664, 999.72726985480972, 1000.1109539143325]),array([79.787053847456676, 81.429153444950344, 82.223037184251666, 83.557847180196632, 83.627967759248719, 83.733162912806804, 83.838956627558389, 84.902879885508256, 85.249562859247405, 86.280470296255274, 86.955390895859537, 87.294445429126, 88.175729115089865, 88.484120097579904, 88.911829084076686, 89.007229112934397, 89.698768173941303, 89.92918048108325, 90.420748916590512, 91.10954951637116, 91.448576808613637, 91.738939028746913, 92.467384435159772, 97.011664832486602, 97.439855223122422, 99.039456527428612, 99.295985265993693, 100.87514281262152, 101.68659782142166, 102.9797271930845, 103.44999994622162, 103.98037188292712, 105.24148180536376, 105.7123100293865, 105.85939083911678, 105.92351963756158, 106.0085722669556, 106.66327287573695, 112.1500202191022, 114.54070950233682, 114.60540235325711, 115.08995466636441, 115.85779405240393, 117.63802349419791, 117.73937668801368, 117.9774238632537, 118.54925785295127, 120.80346656862456, 121.34962837953124, 121.73990340481491, 122.52263004975676, 123.24437847940384, 124.02172910183549, 124.50193037371558, 126.12372332982648, 126.42367908737023, 126.53904782192612, 128.07687239582069, 129.29620094864919, 129.39579393357997, 132.51522000391418, 133.38383355211468, 134.45983447730345, 134.60241801983338, 136.41338930525842, 136.77709675101542, 138.1312813485151, 138.7464109311978, 139.1944783531396, 139.25352204026933, 143.45729690733108, 145.39744051323777, 145.52086656722173, 145.54328978502522, 145.70063397043253, 146.72227369669918, 148.40284597617989, 149.46001618448273, 149.89452531766906, 151.75042773520366, 151.88208021900928, 152.5007280208786, 153.01960646282365, 154.21064478802575, 155.07684542736118, 155.13389029260961, 156.47720252682075, 156.73351242662315, 157.31353976204366, 158.20432140602534, 158.55221578444386, 159.64121270271906, 160.43688806431058, 160.49220089826511, 160.75767852691465, 162.17816809982224, 164.01522295986734, 164.92722358807956, 165.86525046942799, 166.22254560465291, 167.55900546194795, 168.81685298450427, 169.57454477244218, 170.55440606571415, 171.80348514144117, 174.2026315348306, 174.38913128584937, 175.67002629862532, 178.53045925226357, 179.32695173282227, 180.21996349974248, 180.59264087290862, 182.2042715507917, 183.49399521088222, 184.84398024244911, 186.57135888492726, 187.23237961344626, 187.40282068330163, 187.55487257720574, 188.32960889451613, 189.55435333768838, 189.80991090484838, 194.65765926118581, 194.90692244752933, 195.02994945547167, 197.59369590110205, 197.7450876446384, 197.80104497241757, 197.99430526335422, 198.0394020640272, 198.165715599284, 198.20836634001799, 199.46936264856015, 199.93059351054393, 203.53309015562965, 205.24375831971648, 205.75513128958659, 205.85965397501386, 206.36049073592926, 208.36966637641484, 208.42874500508111, 210.01425851861759, 210.34051881549127, 212.16719260889687, 214.24913433015712, 214.76926550296568, 215.82413230790223, 217.05646882081788, 218.74853266571358, 219.32612261094079, 222.49321932668713, 222.5638265342219, 222.83917260409771, 223.48778835583988, 226.14141098972959, 227.66511005641578, 229.65623473229985, 230.15133637674498, 231.97617282460862, 234.26552531086324, 234.95583753468549, 236.32764160726467, 241.06631637865382, 241.79372895070728, 242.04704133680178, 245.0450187519306, 247.43877210338366, 247.48159026567004, 248.02504738418531, 248.12198351580454, 248.43670998190933, 248.81673080733103, 257.18597601185417, 257.74545039982519, 257.99842111331287, 258.15858336992773, 258.88659928012942, 259.19064437388425, 259.31521900269166, 260.14951828369777, 260.29175505767705, 260.81590669508603, 261.49223672575056, 261.57264040115774, 262.3399089555665, 262.71992154553391, 264.15932230543655, 265.4171497151716, 267.19790978794765, 269.91663023599489, 270.85194638588189, 271.03555506953251, 273.95424473030681, 275.25026969189531, 276.41896796067971, 276.97798409154063, 277.22103582357693, 277.48308242772129, 277.62027825932557, 278.60355278606875, 279.0657916677203, 279.73067252636082, 279.99969467499176, 280.36975326432969, 282.25305395797233, 282.64901784279431, 283.60086913249057, 284.86596068686561, 285.04346207321811, 285.34360048910031, 286.52116892333578, 288.0069468501988, 290.92257202447161, 292.53068447401688, 292.62875614330864, 292.89689985433114, 293.49821191084732, 294.25765360491823, 296.04201871934555, 297.26080019427843, 298.73985671294531, 299.24877686354137, 301.86563809295239, 301.96078474719081, 303.00541200874295, 303.15787157463745, 304.09917455546019, 304.12758539192515, 308.06515735580291, 310.78022292473867, 311.0673931108326, 313.90485980526489, 315.26867176625143, 315.31148191156694, 315.44133931743232, 315.67145106429473, 317.02810259238311, 317.35484909059011, 318.13372379187842, 318.70872667872595, 320.18044482332942, 320.32607348824706, 320.87524963697751, 321.01592614841735, 321.061642380249, 321.67121663653512, 321.95537385755637, 322.04299591758837, 323.35947688140493, 323.54916022465255, 324.24531960399281, 324.6311723274726, 326.08551723198462, 326.16225157545978, 327.28068418323113, 329.50389346868923, 329.85096769860121, 331.44049724270269, 332.02290238145793, 332.31730902012413, 335.030694514505, 336.24439475444416, 337.16022308120404, 340.39339214576438, 342.08117136817503, 342.64624142456995, 343.69586688519723, 344.42916101908457, 345.91431510656787, 348.83125393436785, 350.79696118680414, 350.90226158944682, 351.71319343476176, 352.27573177240282, 353.03731025381842, 353.10668705483192, 353.48481257656113, 354.67530393156028, 355.53335326287669, 355.59031250916911, 357.18978985296371, 358.27849019666155, 358.92052216424838, 361.16131713843765, 362.15152945721593, 364.46791357846394, 364.7274338107506, 364.96308183761101, 365.79032604254667, 365.88884190749383, 366.12330601233111, 367.02089621841554, 368.12067386116519, 368.95089110608859, 369.71365665907155, 370.36767502853098, 372.80552734271896, 374.38683370105514, 376.14558552894755, 376.92156612588883, 378.03280371187418, 378.78125665122616, 379.89150120168949, 382.38425773194922, 382.68213688738797, 382.92766600033599, 382.9606564911328, 384.00671984099415, 384.04346831813348, 384.43053286362294, 385.28646977214237, 385.63421898760618, 387.55420770661704, 388.51358786885817, 388.62210151892236, 389.82462788205743, 390.68757517634867, 393.16946687971301, 394.94358504933342, 395.42857477622567, 396.49798181501285, 396.93075156697142, 397.01572217367942, 398.18837591521509, 398.27372996331741, 399.08796188713853, 399.19080548750713, 401.18732270695739, 402.23338259657481, 407.15927676233855, 407.99262376659874, 408.95227796922444, 409.12130397964438, 410.38856720064558, 411.00638677398376, 411.63814558070021, 412.94052465459947, 413.66198369596668, 416.06672556513382, 417.59509478443374, 418.33633372715332, 418.55328596716623, 419.5235504524544, 420.79173530076071, 421.27789662536759, 422.58587617307126, 422.95656977299302, 423.02874750820172, 423.86448764025636, 424.27615584582009, 425.64267199237617, 426.47254642201329, 426.49565373370302, 427.30728183875294, 427.71946519413984, 428.92732667661579, 429.34512005056263, 430.18976542099853, 431.65846843781276, 432.17930193571397, 434.94734951602425, 435.21028571654148, 435.90017892449475, 436.15318677921903, 437.8667319485462, 438.7454063535618, 442.43327746811087, 442.59866837323716, 442.93715750334314, 443.64227741997996, 445.65311147433107, 447.74951081714494, 447.82098015765553, 449.01973590865924, 450.28138467273499, 450.31728320869058, 450.56998151155318, 451.40677045242614, 451.94262262025649, 452.05545889677097, 452.25343203809729, 452.64133739082956, 453.50019582890332, 456.2985598760518, 456.77205155952026, 460.16192695454669, 460.31975154079856, 461.99451640695895, 462.02628864859815, 462.48078490514081, 463.1413577264118, 463.92661851544023, 465.02777717112588, 465.93077951069893, 466.33003738127115, 467.51095926108621, 470.483704841198, 471.37583411760221, 472.53623892036796, 474.01297940386223, 476.39665271727836, 478.40882989413478, 479.75823664182508, 480.76719194989869, 481.5119804168084, 481.80497648462085, 482.84067980728628, 484.61452643740478, 485.99720093251625, 486.75278205589467, 487.72382359167528, 487.98664894635903, 490.08597397596799, 490.88202335741965, 491.77616464154971, 492.03699148267691, 493.46664999105201, 493.53753491670841, 493.64124448609067, 494.78142721458914, 495.58423363741258, 496.58604445484315, 498.11258755342931, 498.47548134899108, 498.73203074478727, 499.97772811217681, 500.16654866996902, 501.21460916557163, 501.77226214030804, 501.86492036805726, 504.53513440204762, 505.77875515249326, 505.88842950573417, 506.89487643593651, 507.18710846093802, 507.5693569758609, 508.1416826097506, 509.85349150971052, 510.63807478057686, 512.73983068554696, 514.54620201947478, 516.97379352605481, 518.11130313727858, 518.83669371141673, 519.56724979665978, 520.1701349740548, 521.09160421906313, 521.32600168873591, 521.46354228745486, 522.08637074472995, 522.35526318956283, 522.52618623104445, 522.65419387514419, 523.10145231868285, 524.18901184123706, 524.23976876101324, 525.02982297632707, 525.14863768019268, 526.31009610409455, 526.74682863834448, 527.86629995569706, 531.2081250627391, 532.97064422127812, 533.12697406779296, 533.94128757640749, 534.3340841623799, 535.84239340048532, 539.3931282420798, 540.73462973667313, 541.64832745591252, 543.09584328597646, 543.39208387976089, 544.60634962492099, 545.20453412284655, 545.2997854531618, 546.8537099216669, 547.02148854771394, 547.22826444588043, 547.83150242422357, 550.23759374647375, 550.36408057509811, 552.11241129068469, 552.14355263636503, 552.50245648647331, 554.71333025380181, 557.69719322064464, 557.9627338601141, 558.17857420441896, 558.40554220334673, 558.50637557519497, 559.41337500846475, 559.61129080099306, 559.87471703302469, 565.2725036430943, 566.72946864284177, 566.9776685962878, 567.25403876402117, 569.17717410746775, 570.52134012966917, 571.14592888260825, 572.12552551386966, 572.37557444293543, 572.42268010611701, 572.58597298687255, 574.9063952632273, 576.15865043588371, 576.39960881032653, 576.58189952817622, 576.9562331080956, 578.7898796504179, 579.35006539768062, 580.18256163136391, 581.25879283720201, 581.48834050740777, 583.63488797359059, 588.00513362500476, 588.25002525105617, 590.05320495859678, 590.96885423579647, 591.71334471091552, 592.40188010423287, 593.34550449044173, 593.61915210991185, 593.89785439613559, 594.02239112684867, 594.7817701609772, 596.68102105650064, 596.75659265564548, 597.43742484959682, 599.16880913846785, 600.7292390926043, 601.25678587501636, 602.35583943064148, 602.93323931916143, 603.03034098751573, 609.6067680759046, 614.27465108157207, 614.80852057951699, 614.8706975257561, 615.84641924446044, 617.34658038307828, 619.3369722260843, 619.41876337105089, 620.37316803800013, 623.56368852661524, 623.91149530155269, 625.00064735907438, 625.5075648786385, 627.62635834293678, 628.35271310209544, 629.49365280666143, 629.76540495142092, 630.70790408122684, 632.97516359522501, 634.64710319057838, 635.90641391406427, 635.97735014007321, 636.27818809210714, 636.45819466206206, 639.33464094584622, 640.31311812138415, 640.41794423419151, 641.1946056309788, 641.73577647946456, 642.14219053606973, 642.37589727248428, 642.97292556344178, 643.26051931118855, 643.9798708366111, 644.34833676315122, 646.2026427552488, 648.97290170700524, 650.03593000865351, 650.51118674333463, 652.02222524282377, 653.08798007999576, 653.24538921587646, 654.2455026478566, 655.6815763474458, 658.83393321828203, 659.59215798418313, 660.99320804475758, 664.31579611400048, 665.68695757461751, 666.59473114963919, 667.04267781417241, 668.10977254050829, 668.35486566096449, 669.26447312587527, 670.94728248703996, 677.84306833214782, 677.98209863400768, 678.16883092993066, 679.06631430004325, 681.83439393122171, 684.27180775410341, 685.62660164624936, 685.72562330015046, 686.34568666748794, 686.67449877698471, 688.08576667832108, 689.51179580296593, 689.66210539613053, 690.08901879439304, 691.21932781626379, 691.52810962424826, 691.71144833822348, 693.29234744397479, 694.47681477870492, 695.39163579826413, 695.56701907105105, 696.08149135003566, 697.979021916433, 699.47613291836205, 699.96438909545645, 700.8563178185716, 704.73118804671242, 707.82856111306057, 719.11026891274605, 719.75169804720872, 721.76574449444558, 728.39098830736373, 728.67838199124117, 729.29704352125225, 730.41988674449146, 730.74086017708873, 734.31646351443749, 734.63409113875707, 736.56305488599662, 737.74934645175233, 739.16144184804898, 739.58558605782378, 739.68539171244106, 740.13236833103258, 742.80824512641198, 742.88132782749744, 743.9224530314317, 744.1588677098722, 745.78989502470858, 746.49306272566082, 753.85569714212113, 755.20724055428946, 755.51146277777377, 755.65310829577993, 756.18663856129388, 756.80199470289347, 757.31049483856248, 759.61285229960913, 764.62507670083812, 764.74551750445278, 765.29448267652492, 766.44327335096659, 766.80843380181261, 768.2214840459435, 768.83983819029993, 771.45285393746315, 773.06858058581633, 773.1226122928058, 773.48046712405028, 774.38956449889895, 775.2296147514428, 779.13914484844247, 779.878154550001, 780.29920007290082, 780.95962601008534, 782.55465081565592, 784.28276257227947, 785.54799195746693, 787.83637925439348, 791.30686288162997, 791.62265106772304, 791.82753304389075, 791.98927718758603, 793.80776785599744, 795.41119247402662, 796.1104504281135, 797.16175310304936, 799.76865981348647, 801.47174242762208, 801.94308200631974, 803.95778825724847, 804.48391184797515, 806.92828311299786, 807.30669403112108, 809.19476039008282, 809.2990372636034, 809.41994106692755, 809.79108153734853, 810.00012099236119, 811.51117875821456, 814.56182403697687, 816.28426341232694, 817.18346344298777, 817.36261462414154, 817.90944322874418, 818.23983532949217, 818.93522527310631, 819.8953432072077, 820.41423451708852, 820.72423636602537, 820.88521103582048, 821.56046096364787, 822.34174319602982, 823.61578524371589, 823.79958018476918, 823.87814179749159, 824.80088940697203, 826.03433487202551, 826.69988413210547, 828.25338995855168, 830.85681504686329, 832.45005891786752, 833.07430254002679, 833.45949091031207, 834.11674071797995, 835.38566631024571, 835.42532002562643, 837.24394666190165, 837.62439099419248, 839.17904439217068, 841.86739153259566, 842.5618098039032, 844.40956667915839, 845.07317243375883, 847.30525557258079, 848.7385433357349, 849.09381565036369, 849.44589358089058, 851.25411418222041, 851.45382766806131, 852.32250922291826, 852.37605506775185, 853.28243254416304, 854.93539272444741, 855.88737268757905, 856.68410075826591, 857.3467910745369, 857.39849722636973, 857.46015083889029, 858.27429871804145, 858.53653827045071, 858.8917378648182, 861.07696011515156, 862.20651598749612, 862.88157153888221, 863.79606221718007, 864.17273624006771, 866.54991035683918, 866.70047353207769, 867.4353183980121, 869.8920230113938, 870.53828344984242, 871.52848576555107, 875.62889778688884, 875.79482110577851, 876.65854550148583, 878.32032095055672, 879.54262523648424, 879.75444032724022, 879.90999707819913, 882.42345653642053, 882.5913872062589, 883.15537560795713, 883.28835306402414, 883.7072220553913, 885.10033807512275, 888.70676312815169, 888.97076570476543, 889.16228362888728, 889.28836281550582, 890.41960996020623, 891.64035346732942, 892.71526354637638, 893.0560819162057, 893.80487844436232, 894.35263833258398, 895.2745334691507, 895.65780179794888, 896.46173292686785, 897.14958792358664, 898.00029944601442, 899.07948390473859, 902.66553881956463, 903.14442777027705, 904.31907086157491, 904.40830868738499, 905.99394586244046, 907.81752646895063, 908.68148895026115, 908.81391092695208, 908.96985591040118, 909.67375323812189, 909.72286160726526, 910.57577477532027, 912.77266205314959, 913.18513557630968, 915.07662934708651, 915.46030830174288, 916.47618707867923, 917.22985188656196, 917.69823843866959, 918.70818205236094, 919.46814676616441, 921.36288628132877, 922.21400418040969, 922.24996068236794, 923.06788091878673, 923.68880402783543, 924.20466105819514, 924.22884854558629, 925.62080614171339, 926.53495755209656, 927.54190756290507, 931.73444375518488, 933.90701096466739, 934.17521913897747, 935.62913031678738, 935.86701868703415, 937.40177717270763, 938.90995900763357, 939.04497433485346, 939.07117233243355, 939.4508001810583, 939.87465783582422, 940.06680648877239, 941.03113716059624, 942.62033718703708, 942.67095257335302, 943.2298517087828, 943.67518421463944, 944.54355486721852, 944.56591822604139, 946.38699134968715, 947.47465376707021, 947.80859183173618, 949.85767872145118, 950.29199898561035, 951.93421154323187, 952.00696281904834, 953.15591756628203, 953.17908192790242, 953.90874982315574, 954.88746306637415, 955.89722383881372, 959.8251068593006, 960.35873838011162, 960.69305247754801, 961.1125550157542, 965.08609513950432, 965.85732232581063, 967.55443078908911, 969.92458510000085, 970.71235242666569, 970.88486315361615, 971.16131750709928, 971.62645297282256, 972.2069219679837, 975.14919109174707, 975.40488976879715, 976.78259129663081, 977.89208439578397, 978.39421917916809, 980.22069010442647, 980.97298961735305, 982.12975328441155, 982.18332784531265, 982.46853316075271, 983.30862782660097, 983.91519963663393, 984.70552976969827, 984.89635310497056, 984.91732857783984, 985.27006670307571, 986.98922607832424, 988.27656604093511, 991.60042295831659, 992.89600136525996, 992.92589870107815, 993.56300416508009, 993.7538631439644, 993.90689524595382, 995.79066309745872, 996.78403285923275, 997.17036392410921, 997.84948737544744, 998.81676828172488, 998.91335290611426, 999.18942072224127, 999.79971311523775, 999.92724795280549, 1000.1531674566954]),array([27.435130843923481, 27.519326016491792, 29.482584159206819, 30.370794550578935, 30.890669203059378, 31.820335251970832, 32.791972201275371, 36.001143722229862, 36.247070890788912, 36.313822624725887, 36.880423907849796, 37.02211231549586, 38.695677409065667, 40.932553340188193, 41.162727754301294, 42.513710095219437, 43.780222131017368, 45.664565443802118, 47.870224988503402, 48.019512125365075, 48.278267417119494, 48.923343942809758, 49.012909354292461, 49.358877283077106, 50.011192633234032, 50.10816753559719, 50.553141865092378, 50.794119561434314, 51.822027050560656, 53.003252505009151, 54.413270649597337, 54.568119715890148, 54.663977719724784, 55.183433873584633, 55.469352018315561, 58.260017648456298, 58.354671793018085, 58.685770369422642, 58.793795409463208, 60.228566390543968, 61.994391126428589, 62.476677266329858, 62.712850193648279, 63.370012802465034, 63.574018269488832, 63.770749518229742, 64.150842813032298, 64.234757406798565, 64.573917975957485, 64.889162021141331, 64.948323641554154, 65.219865525792116, 65.285469938556162, 67.406389450871458, 68.401444959955157, 68.883597341653143, 69.210455846427124, 70.17546337610581, 70.531297223038735, 72.077389669886244, 72.446409254659429, 73.616697886533913, 73.815896712261448, 73.897224961064381, 74.429661122774519, 74.756026231008306, 74.999531629327265, 75.319226572684215, 76.574963796171261, 77.08289205182578, 77.607378619800201, 78.75108072749812, 80.499552251532748, 81.516312303466734, 87.537370269132879, 87.637257495554209, 88.025924761669316, 88.227844266854632, 88.75198598526265, 90.288124294903952, 90.842478527647259, 91.509413466027425, 93.477293388899113, 94.985148851444421, 95.351122389843781, 97.077980037577277, 97.48061499639914, 98.853092862251543, 99.714788767046016, 101.06472365515494, 102.32269033078272, 103.09672190035033, 104.61965525622402, 105.13613007132179, 107.92700001784732, 108.16695517004491, 108.33023182738408, 109.3356130874066, 109.46426787827238, 112.01098147619706, 112.82050673690514, 114.20153096882107, 115.33069746397597, 116.30321661801911, 116.66172900613186, 117.84161830118015, 118.13546623140438, 118.45910281232929, 118.66713187922066, 119.75135944809213, 120.07453152444451, 121.56437488399287, 124.83133157387782, 128.53070786041971, 128.5883678274796, 131.30480661179951, 131.5911739727795, 132.24197591200786, 133.75015765707619, 134.49611754375081, 135.73603611518732, 138.28027598006082, 139.49159513754762, 140.06778564337193, 140.43874341956831, 141.23517111169019, 141.81858938155941, 142.97329168136488, 145.06653625584784, 145.11889113235657, 145.25195711829835, 148.45727166137146, 148.89977697896663, 149.54613095630947, 151.84608518999002, 152.14445485920504, 152.62386781590592, 152.83465124830832, 154.36767050029556, 157.26233967099259, 158.33914625168063, 158.46885840896923, 158.91378391890433, 159.03495400191076, 159.23670221622035, 162.43334367593059, 162.76372991221038, 164.12099641714619, 164.69055815731932, 165.2592669610182, 166.1582685100249, 166.61542163271181, 167.11424513649501, 168.40588193116244, 170.11782722726053, 171.39339335159289, 171.55925023475791, 171.66134383877755, 173.69729614792644, 173.93691247621396, 175.55627102989646, 177.24856533759746, 177.38499536371137, 178.06026342145159, 178.6682133643682, 180.30292184671109, 180.90775457038961, 182.28421847031791, 182.31649182134527, 183.76008194498112, 184.2634097924618, 185.09134734674845, 185.12204957687047, 185.30298786190218, 185.37910445027416, 185.87316631734132, 186.26284616424027, 186.43232471740586, 186.72369916509552, 187.07649992464044, 187.25941960304536, 188.25839770246679, 189.21265504013797, 189.57682522784597, 190.32200735369602, 190.87399277021498, 191.06258172263514, 191.42826408225551, 192.35820201782983, 192.82965643652852, 193.2540697386338, 194.36352486838896, 194.51658026550425, 195.67033333499506, 197.69857429574822, 199.16721414215519, 199.22653863415991, 200.23177757010069, 200.36299138989344, 201.24067006125631, 202.55686125653673, 205.07792593705497, 206.54241886715349, 209.50625825009368, 209.69460046741165, 210.60927992291644, 210.96534393148059, 211.98856293216818, 212.97135490962896, 214.7926127864078, 215.18818344089584, 215.81062375650851, 216.33170171954094, 216.64587007023167, 217.38763240293284, 217.69902046939055, 217.85350860165255, 218.08356739185976, 218.67929542659198, 219.44543890012022, 219.80288744001572, 220.78629320944609, 220.87779281813923, 221.66886773277523, 221.79378964730941, 221.88073958145554, 222.27670654396502, 222.95944037955366, 223.50572648428795, 224.36612162514331, 224.83162076313272, 225.65438402849671, 226.01931692546253, 226.23738321087319, 226.90370591339402, 229.34236741339109, 230.05401769983243, 231.65122348200998, 233.65335296502451, 235.48083044341089, 236.07922383675253, 236.11949500689545, 236.17821906056244, 236.58573398949753, 237.90068428399948, 238.83150132956965, 239.01853733556334, 240.79540285321747, 241.47035659630137, 242.12329289435448, 242.82672463761799, 242.92685336184377, 243.06025604189998, 243.28165305173926, 243.7527827694939, 244.14014043150436, 245.32015860492686, 245.69519802874814, 247.77622453352114, 249.39621612948562, 249.74146268658717, 250.58528988710836, 250.77821221208788, 252.66212477679412, 252.93889411019663, 253.52535636945686, 255.19746823514038, 255.56117705123171, 257.10262767761441, 257.63751341279146, 258.5395976153489, 261.9223745567482, 262.41788271481295, 262.59509681889017, 263.05886088493065, 264.35202827302726, 265.05138732218535, 266.02274205626884, 266.44537927591261, 267.61253010259759, 268.62566124321103, 268.67336893531689, 270.69589084661055, 270.95553032744465, 271.63413533419038, 272.0852072127513, 273.82855294800828, 273.98813751883478, 275.32449143876835, 276.67966253127872, 277.09854461675781, 277.24399666140249, 278.18459414750021, 278.40434640996693, 278.8948351870763, 279.07578746525382, 279.59612075084073, 281.45069522595344, 281.6706966768939, 285.1085854336356, 286.24832900218075, 287.1223640631469, 287.87550563237795, 288.28243516819049, 291.73796747780443, 292.01182195408086, 292.35127895996101, 293.1205413141227, 293.8193476447733, 293.87677704470656, 294.33449473661921, 294.71650838923796, 296.9591028132491, 298.08581638547241, 298.34996058379306, 298.40860512479844, 298.72912068356254, 299.18178171996584, 299.63676101287405, 300.07951651706941, 300.29876907905771, 303.17715520384633, 304.04700771623556, 304.94293643298101, 305.1834364143262, 306.65336976098916, 307.20594547333621, 307.89133392431836, 308.64803394338435, 309.27697102858707, 309.393944295979, 310.02081413227955, 310.23528695706545, 310.36290764057662, 311.42157936665416, 313.4735984343007, 313.61142704299266, 315.09027823675478, 316.24615976253398, 316.43296600796509, 316.55613033840802, 318.17850430699741, 319.28354797199984, 321.03703757830891, 321.24063850738906, 321.70136286160437, 323.30204179491278, 323.56755031405038, 324.55177769509771, 324.64915385103387, 324.77225573303997, 325.14044726331997, 325.21404661993108, 325.88896237259314, 326.1741078752724, 327.9972704619766, 328.58111514518907, 329.45824575894625, 330.51876332716239, 330.86805247761049, 331.05121820593831, 332.27635460888746, 334.11694718902896, 335.069044294327, 336.97163610850134, 337.30017281150361, 338.21000916071773, 341.02973290217511, 341.7444910319922, 342.12429191240938, 342.33235042130303, 343.72307683353017, 346.10389443455045, 346.13481999717908, 347.96872645694077, 348.12483261081036, 348.40831171462725, 348.46573912963322, 349.46573087775181, 349.64908012630212, 350.52299368798208, 350.64539622497909, 351.26233558178149, 351.47104519994525, 351.81831654156764, 352.03367630049894, 352.16057368567652, 354.23221666860712, 356.9154271631138, 357.47249718844773, 357.71109520385386, 359.39611935442178, 362.98715154598926, 364.92789655108794, 366.25132586354039, 367.33831043163531, 369.37804639904061, 369.4094269679639, 371.38492020326231, 371.49074283605478, 372.71697504709607, 375.31149776693394, 375.38741329496594, 378.42283961450005, 379.57431258347094, 379.71244373049126, 380.05151193021305, 381.06090943301905, 381.71877618133891, 382.1181693871174, 382.46872545621932, 382.72451784984565, 384.60653088394616, 384.6665315667002, 387.28000578275618, 387.90599586428823, 389.07528840713849, 389.37197164813631, 391.0761915006434, 391.29070470346699, 391.68586712224908, 392.01958569851467, 394.53375333805525, 394.98370474266244, 396.48815396390239, 396.7279068758985, 399.87040084372978, 401.15006403044919, 401.83708182076452, 402.88976685197611, 403.34966081488392, 405.03102125304497, 405.90527389687423, 410.59411532621351, 412.34186423415491, 412.97495050950579, 413.74499969991376, 414.24373875277541, 415.51727493027096, 415.85458440409212, 417.36597018790479, 417.74466406683399, 418.24927185331239, 420.6442886176647, 420.70866199035891, 423.7670584382077, 424.36876288557318, 424.67202653194198, 425.06863000481849, 426.2661578111759, 426.41084886329082, 427.09696119676465, 427.26274735352939, 429.1351645664418, 430.5449067812815, 430.89291201083421, 433.18294797594706, 433.39208411901632, 433.89603430748684, 434.90714457170628, 435.14441483206133, 436.7001331048628, 437.02201264875879, 437.48275893500943, 438.95529780788064, 439.21157362918234, 440.07069976541095, 441.38499771920834, 442.34847477506889, 442.67549535214494, 444.20466391544346, 445.31991403939116, 445.64663343729512, 445.88988191223996, 446.65847794887742, 447.45048312370835, 450.0810527188483, 452.59757923931801, 452.66971170631433, 452.99905144169674, 453.43075053971029, 455.15478593010994, 455.60906585400454, 456.82488314271438, 457.12868565311368, 457.8787663654133, 461.74861941183292, 463.04459594436287, 463.28624545304831, 463.86127274510284, 464.6628701737456, 466.40629815560146, 467.50922006485035, 468.90335663980176, 470.62395617281055, 471.09371002266914, 472.59173245240027, 474.59464789714377, 475.34734571967323, 475.48434877511346, 476.07901247526758, 476.20725892975429, 476.43930839699658, 476.86483580792651, 477.95244221990936, 479.01192562098794, 482.39786175451354, 482.48618625608418, 485.70456555641289, 485.74315206890583, 487.35375237118677, 487.39392420716939, 488.33161550836252, 489.12161288203993, 489.21224421181256, 491.41304922511, 491.78427520450248, 493.61427362655985, 494.13972245110489, 494.37795987235273, 495.09123818572999, 501.14548512388626, 501.78380775992287, 501.98624502095691, 503.85420164377501, 507.64998305016263, 508.06171888053137, 508.52681766447154, 512.49378299539956, 512.57091312956652, 513.07894614202951, 515.21212076959455, 515.23223133398733, 516.3270951537387, 518.09097346969588, 518.61262056451858, 519.29202901946724, 519.45000875404594, 520.64300434151619, 523.07925665562368, 523.38539947886147, 525.1276963824746, 526.30149537785269, 528.41998150584197, 529.41770717040947, 530.07361091642531, 530.86643293639918, 531.69489579583023, 532.25691897493459, 532.48751872991329, 532.7426494956544, 533.16916206256917, 534.45279274464042, 534.61440171932088, 536.7397580155457, 538.14079857139234, 538.21268070890335, 541.26245546166797, 543.53085684502571, 545.41459024611004, 545.68786785648979, 546.46540559663572, 546.86701718895938, 549.5212628290252, 549.69409777486101, 550.64622061011903, 551.68698071417157, 554.17635171878715, 554.1994058483009, 555.0729368377871, 556.08903539232347, 559.25619498335652, 559.77460272268411, 561.18227664434744, 562.81141439110888, 564.13710432776156, 564.48503769960109, 565.52323219873028, 566.45838802919809, 568.88630912506869, 569.39326319399777, 570.81596836713845, 571.80320532177518, 572.00059762077456, 572.32077260467372, 572.67830210749594, 573.88884919998486, 574.42239067302069, 574.89559744058897, 575.51869806700518, 576.10678674767439, 577.04500342452184, 578.33771423259657, 578.82265105169711, 579.087143368738, 580.03745129400227, 581.8437995549898, 581.96248082825446, 582.02526878380615, 582.0851301713617, 582.98720788513822, 583.14686691711563, 583.75329318648596, 584.6104561733041, 585.86659056109534, 587.29246574746981, 589.05270868430262, 594.80034694763049, 596.97911464834078, 597.26888731247266, 597.29434848498227, 597.56436555401524, 597.66470973962691, 598.39064312462506, 599.64456173196129, 599.69678099630562, 601.02408518501272, 603.28146548202608, 604.4187739018347, 604.56696803070383, 605.63484061939494, 606.01970569203354, 606.59915285489194, 606.66101508528629, 608.79815498637743, 610.15636474422513, 611.83974943277076, 612.94437606840449, 612.96616568766876, 613.52353563518045, 614.37577288634554, 614.4035424693509, 615.71162435871099, 617.49536001229103, 618.76798213964923, 619.34699057246235, 619.39305254480485, 625.54399301793649, 625.70531872839149, 625.98032683478834, 627.2282403274769, 627.51610284002834, 628.73642449839724, 629.00474607845331, 630.78058076111574, 631.2198759682758, 631.73525154974232, 632.06261071671088, 632.39435220157009, 633.87001331476847, 634.50501842026085, 635.16870521043256, 635.97581330548496, 636.70003795409741, 638.18062386175302, 639.49301309963323, 639.87275577876255, 640.14224808791369, 640.85018832931667, 643.00729565335837, 643.08623925657525, 643.33272703645446, 644.20783488876998, 645.34757612995782, 645.67307813933303, 649.24707912812937, 651.02869297637892, 651.37967980844087, 651.77418851208984, 652.14255594791655, 652.19953158302849, 653.65332402068475, 654.04240368630155, 655.09114910318829, 655.18244834298753, 655.51584186605726, 657.16846979752893, 659.7416538280761, 659.78758806226222, 659.9111730532486, 660.23607240309559, 662.29776070582102, 662.38405318455443, 662.97436234457962, 663.4494178136265, 663.50436596934185, 664.461389960681, 665.11689899752673, 665.237010663663, 665.39081219907825, 666.46960185030377, 667.09776890625778, 670.20916085232977, 671.05069031691937, 672.15941718351155, 673.35241109561082, 673.89709141343792, 674.47785547833985, 674.83125592254305, 675.1906917259405, 675.5863354141519, 675.74728315217737, 676.06941863929035, 676.63048729750915, 677.77306947490149, 678.31519977660378, 679.38419906141667, 679.59655086543421, 682.26749530163659, 682.33842321682755, 683.32188453573622, 683.89417122702037, 684.70388218190556, 686.03389076993142, 686.33899978930356, 687.62057271527613, 688.63572374143143, 688.66882637873584, 689.51270956264227, 690.05674067712789, 690.25748537345964, 690.31832121918603, 690.94349431448722, 691.91298816103563, 692.56590226495507, 693.34395769707828, 694.28729967738366, 694.74637392703517, 695.46329584911098, 696.17610669970429, 697.52065267922808, 697.82852447406299, 698.2935779292543, 698.58590992753238, 699.32541926029376, 699.71144621486303, 701.74946875610704, 702.05759594873564, 702.27948709715679, 705.35895787757568, 707.54070195368195, 709.03120518791695, 710.97600601075158, 711.42398550103235, 714.54959661268913, 714.66918465125104, 716.22305556797278, 716.94280707319524, 719.60613880060168, 719.81639936557576, 720.42334669731554, 722.36969076037326, 722.44496276763789, 723.45968499564412, 724.00527684987514, 724.66298337152148, 724.69733410757658, 727.30340073317154, 727.35538249869353, 729.05060656934165, 730.19015296558177, 730.77149141159157, 731.32672557922342, 733.38443444853897, 735.40583906002132, 736.60873888781225, 738.45124078694232, 740.16251205585024, 740.6712789674134, 740.82894105775256, 742.60133257825703, 742.80642228233796, 744.94833263335101, 748.46688604363521, 748.86246281871161, 749.70431887276834, 750.37100066115181, 751.09786936472824, 753.09902628115594, 753.16219361236153, 754.84401435044776, 755.40951368757999, 757.0815944224621, 757.35055327703515, 758.0054922780655, 758.23628527041035, 758.6171108981415, 760.84617405220479, 761.68769390086891, 762.28541117610609, 762.53823656217639, 764.10908589492146, 766.22542813076723, 766.3911861599596, 767.3497114683322, 769.49354905557118, 770.56423759414918, 772.96434624143694, 773.25664134999431, 773.84968059674316, 777.52301496277687, 778.25715015899891, 783.36359827197191, 783.57109492359962, 785.44899007014294, 785.55447146586891, 786.62211494868893, 787.04698565565116, 788.8063919926135, 789.56463317939904, 793.06253824654516, 794.09301473808512, 794.82142297938208, 796.84261356302227, 798.10141287463011, 799.46189362955158, 800.24037575563898, 800.80721179024124, 803.17464552406818, 803.73049518003006, 808.76872720447227, 808.88735159272346, 811.05984994272274, 812.48879876059993, 813.61237903937467, 813.98471215054053, 814.906771615926, 815.2507172792657, 815.59970240640257, 816.59289511613395, 817.00014294619416, 819.27053216597665, 819.34610307519165, 821.93216014696327, 822.10765192302802, 823.60950403100435, 825.19802859583456, 825.25126387139539, 826.28731775478388, 826.35852328416308, 827.06021712262645, 827.21383206291864, 827.86297307190728, 828.05472844781275, 828.36193310624867, 829.06723625611653, 829.83632851534435, 829.94741038524398, 830.0060563048138, 830.99819362060668, 835.00582911747347, 835.44521165846709, 836.45124216071895, 837.02210380267979, 837.77366902134224, 837.82333864396935, 838.86185363902086, 840.66336519559343, 841.0828574045255, 844.96705752855337, 845.49301113341221, 845.6104623760973, 846.34411137243092, 848.44773781126776, 849.10805187959033, 849.24853726692004, 850.38567628998521, 851.3644155708273, 852.47348473012835, 856.23091026242287, 857.33611959926725, 857.66082910768614, 858.92533569325008, 859.85785185928921, 861.57102396416315, 865.13164106837792, 865.23477810181919, 869.19948097855001, 872.06285672561694, 872.14623505149325, 873.15337304063428, 874.10132598860196, 874.36447232169587, 875.07831894480137, 875.84328264080659, 876.12685777427669, 876.6539102507212, 877.16818595682469, 879.34125675312043, 879.36433678624064, 879.81876632692206, 881.995958920254, 882.84089367545494, 883.00991065595485, 883.49867865651811, 884.53812075282883, 887.27802303986869, 887.99354196175227, 888.03681987661093, 889.34761749271945, 892.45041336927238, 893.37867245741404, 893.75455369321389, 895.94748880654311, 896.13196428740775, 897.42146066718442, 899.18675349154012, 899.60761962802417, 900.23192391425221, 901.57043928494409, 902.49299763357055, 903.56116591939247, 903.62785223350295, 905.22179960131075, 908.18682046905224, 909.14764619595132, 910.95128133458354, 912.14422183315469, 912.21133240904385, 913.8523956634042, 915.99520382120943, 916.39141500866583, 919.7018017541825, 921.07186792134735, 921.64262346928524, 922.42031365918001, 924.28951347962914, 924.38999380980158, 924.62840835224222, 924.89294972563846, 925.79931262078082, 925.88672439169704, 926.20603382929266, 927.52024745110941, 928.56430878987214, 929.4978288958938, 929.72159481945675, 930.75876245547249, 931.41800370671183, 931.83435663331932, 933.18635563021201, 933.78855845430212, 934.58434089672187, 935.45587568103656, 936.07562127358813, 936.22391627792706, 936.55587038242504, 939.17157120387549, 940.06844179276152, 941.33846300472726, 942.22599331652077, 943.44801221916384, 947.36159660310364, 947.79622429389599, 948.16673044425056, 949.1317371372146, 949.63432150792175, 950.10158362391246, 951.13001965921774, 951.17918600026451, 951.40765587121507, 954.67422830759085, 954.93856825078024, 955.45315156942797, 959.70491379017358, 961.35341052953868, 961.87457414805112, 961.96268746429678, 962.43532631833102, 963.21336707980822, 963.50274802701756, 964.39515790245775, 965.9679880238881, 966.98606953471904, 967.0758465846144, 972.41309682317547, 972.88104140156008, 973.98146569710468, 974.34781480786762, 977.128232113678, 978.17667342697757, 980.38173562781446, 980.74288796872065, 982.47329021505254, 983.19296170574376, 983.78385645594847, 983.82090013566676, 984.35177184640099, 985.77734226573045, 985.89914491688444, 986.81321955998192, 987.59361901591501, 990.31422471800045, 992.19627531954984, 993.7477692090946, 994.01805292079644, 994.56406482383784, 996.37963242021169, 996.6290159084308, 997.59940526087212, 997.81999573489372, 998.02308422906799, 998.16742614097996, 998.56720482149797, 1000.2001001327769]),array([77.203225017784703, 77.523784167002162, 77.866838540641652, 81.566316561607806, 82.233682814443597, 83.433872532618466, 84.06066135797839, 86.966666561800736, 87.213685385002421, 87.286982975063381, 88.933615963921568, 89.05896103079381, 89.788196457371455, 89.822342523508382, 90.672317807040415, 94.656933778795235, 96.896182528531881, 98.114540469985528, 98.359458824703168, 100.25940958573651, 100.61941659272367, 101.1153375966618, 101.48685563052672, 103.67904735094942, 103.8259712517233, 104.28116409662591, 104.66581292758286, 106.76119683796034, 107.08435365161529, 109.37613351718861, 109.42112950499325, 109.67487567615133, 113.00767647273308, 113.9705804045602, 114.37308477668701, 115.4588103800089, 115.59941342931214, 117.29910691696043, 117.42900569543774, 118.30216022721348, 119.80810175683105, 122.19651704921615, 123.7255745376834, 123.86088966048388, 124.07348890096297, 125.41521108871255, 126.16976087297796, 127.63137932721065, 128.39118057512201, 129.77954752764956, 131.97313806000179, 134.06315522182027, 134.21531857179707, 135.17679659106486, 136.99109592392756, 137.16018095113799, 138.88793332677434, 140.79366723063157, 141.3351670463808, 141.64648257948912, 142.02442461353857, 142.16472003262274, 144.0653086772794, 144.47944770156434, 145.94473790739988, 146.28555716141489, 146.78157960642542, 147.16268278696367, 147.25568888745786, 147.43246074871919, 147.64597867345083, 149.14383054103527, 150.05332679144055, 151.03959851218727, 152.82400602213104, 153.37666367249574, 153.66819744750637, 155.82041969956165, 156.07502428837978, 156.42428973685963, 156.46826528438959, 159.46408473295773, 161.91138762059708, 162.91952517379343, 164.28517083842402, 166.1523105122015, 166.59322330546672, 167.7777085272989, 167.87388041912118, 169.04504353847017, 169.06586622324636, 169.17647920760515, 169.27705863311016, 170.90399259218543, 170.96137642882118, 171.93758131819592, 172.18504006925025, 172.70481715974697, 173.43714099575496, 175.14436527128944, 175.42648857783507, 177.17418675365195, 177.25709513882094, 178.3842691383513, 179.65172498542117, 180.05810200626522, 180.10219922918156, 181.74402944650322, 182.95343468951344, 185.05668311049138, 185.38319151549555, 189.17211909884912, 189.8308139617279, 189.90942080184681, 190.2808111265179, 193.09163473470807, 193.91320482747139, 195.29949853154838, 196.2129512138041, 196.65332925765742, 196.75920446084393, 197.52037872074644, 198.12824332446525, 199.0059456847799, 199.32278866331731, 202.09539290107082, 203.26575390571679, 203.31138168429251, 203.55093669628994, 203.72792204495948, 204.20709293337876, 205.23085353672587, 205.27983049364187, 206.03175888645109, 206.28199763713636, 207.0248456431078, 208.22616899379955, 209.15610170918768, 209.70144075131904, 210.65204472429875, 212.25536609854794, 216.44907753515042, 216.88577449745728, 218.84433699758577, 219.62449029716595, 220.21735354538231, 223.00952952267863, 224.95555925001241, 225.99678720024434, 226.4894809014113, 227.21339418726464, 227.29834803734241, 228.27333056396833, 229.04171435347405, 229.42927637146559, 230.42522854511944, 230.47760063994627, 230.78318142657602, 231.04500093614882, 231.45507140470892, 231.79431831159965, 231.84895031160735, 232.06080110846929, 232.92160478635645, 234.20749710212326, 235.74171044276983, 236.11315869554761, 236.4556188390645, 237.13155360999147, 238.06032166812409, 239.48934849408181, 241.79344026559309, 243.48329900038249, 243.68301988503057, 246.13621416032814, 246.48139118855372, 246.6345995642076, 246.88619556178227, 247.12118351920614, 247.75523143555435, 249.24274831080291, 249.99928129824374, 250.22792286318045, 251.65070471711496, 252.05499555675578, 253.5579738685731, 254.64317859093839, 255.4375566734069, 256.70223764441675, 257.40116388967652, 257.52114349455269, 258.71256544726333, 259.34907129457275, 260.57709187128216, 261.59297850046886, 263.1561030171556, 263.46710552693003, 263.56680955802238, 264.23857681396396, 264.84167340288258, 266.70796715350315, 267.00872833166352, 267.60067598331455, 267.70382257102824, 268.03896220133214, 269.32899584930038, 270.23136887785762, 271.44612160987202, 271.80467122422868, 272.70274523627262, 273.10315746505853, 275.10712758120201, 275.73702078334151, 276.57016185862949, 279.63062015604623, 280.18103517997264, 280.47375099215435, 281.54217254347805, 282.36449479456206, 283.04404297541168, 283.56864246554454, 285.56703004791513, 286.42725899236768, 286.45260509917773, 286.94864914142823, 287.69806799609069, 287.84069247340625, 287.92385490328837, 288.13626465239133, 289.05740228501708, 291.46156810656225, 291.94091083206933, 292.3286116799232, 292.82748774954706, 293.75425539837073, 294.53771874796035, 296.20623478628113, 296.95894979509109, 297.15746168530518, 298.51946688911346, 301.37256021175091, 304.25341908128934, 305.23757629204266, 305.26612390198432, 306.81643368320306, 306.92089368239095, 307.83265048787507, 309.11649305414875, 309.75241401441275, 309.95786706646749, 310.05381809687998, 310.34602074745266, 311.5812033964246, 312.27626483167535, 314.30586949358525, 319.94597505368961, 320.74865469912152, 321.11729909392272, 321.33621969147981, 321.95062176216737, 322.42109028777281, 323.22676482773932, 325.61219062691089, 329.22647775504151, 331.9224236112081, 332.34771017055004, 332.48687748991216, 332.6699608036111, 332.86007723581702, 333.01000443429433, 333.55701286771227, 334.79909864122914, 337.72855801925516, 338.11843263552424, 338.58125550809285, 339.07024676798034, 339.19165290225055, 340.07585287802891, 341.36184119890129, 342.81654577289379, 342.91441003772042, 343.61994647685879, 344.04005707611174, 344.0976218695244, 344.87479604987971, 344.99511261964312, 346.70584434632087, 346.83065516706671, 347.01548530067288, 349.13974727412239, 349.17885660245469, 349.75013389534655, 350.454436484258, 352.74681326388657, 353.52529275416811, 353.85532571738736, 354.87153242796586, 354.97645295659692, 355.06055233421364, 355.27588377642536, 355.80569790573497, 355.93358234606467, 356.03728242235093, 356.8803831226009, 356.90252057478432, 357.84412622372929, 358.71413709489468, 360.1643226251457, 360.18905953640649, 361.02694153420435, 361.15956795924342, 361.30689776601827, 361.92944836767452, 362.12873067823233, 364.20447638439254, 364.31968093786014, 364.72237058426367, 365.06169721413187, 365.49139106339987, 368.41628866944171, 368.64994158446501, 369.52748472628582, 370.40679492515386, 370.87010499802909, 371.26882041336358, 371.88831199857447, 374.34634056691931, 375.44776975549604, 376.99668520081048, 377.47825808357373, 377.94865682947807, 379.93388199399305, 380.68956228878631, 381.83582551607088, 382.54822535284711, 383.37394019655909, 383.42336559861553, 384.68487474994487, 385.84289061548048, 386.9775228610772, 387.89252052273764, 389.1766084291059, 389.91975337068118, 391.69750997970101, 391.83688716942066, 392.87790159626451, 393.35642110250541, 396.2164560684206, 396.55009466015224, 397.78341600441678, 397.99520955024326, 399.25732270247164, 400.53936899530748, 400.92980672388836, 406.57381973178065, 407.33655712065797, 408.81597801632859, 409.007458551551, 410.60443957029162, 410.73006858381268, 411.84600540833696, 413.14102638074678, 413.92331625810988, 414.97136818190921, 417.0019215198169, 417.14346355538902, 419.50528487373896, 420.16729001625879, 420.31504056859382, 422.62947535939583, 422.90309990552862, 424.29702798487097, 425.93592793042143, 426.43695862016972, 427.06386844368598, 430.31689818258741, 430.46162150322618, 431.56145200260164, 431.97176995719371, 435.71111864545946, 436.24027513138236, 437.00941060216337, 437.57844550163412, 438.02437030663492, 438.55154017027212, 438.75259562138768, 438.90524644327678, 439.10285897808484, 439.16245777582566, 440.9776940586699, 441.91743636126466, 441.94789338101219, 442.0720810605165, 444.51935584903958, 444.70154960722653, 448.7102247585172, 454.90136070880914, 456.82844887013118, 457.93257432318973, 460.45057795699569, 463.48140744442367, 464.15097396561754, 467.17890874086925, 467.53722962069509, 469.55331670435453, 472.38030128538827, 472.41053295673089, 472.58277035765849, 472.84962329345149, 473.19778923693582, 473.82610472167926, 475.28545893282535, 476.44083194588785, 478.14998778447472, 478.39078789029946, 479.5466793861861, 479.79332813255724, 480.88422598498175, 481.10341782095327, 481.46660021679406, 482.64878879774312, 484.21721578358478, 486.67066537449966, 489.15954906406876, 490.39460442763823, 490.53610163409707, 491.04719618816046, 491.08181471999097, 491.51163955326689, 492.22321910191334, 492.34509137303098, 492.77129993035788, 492.85978525458205, 493.16305779908981, 494.50349783278148, 499.38564224158591, 500.13088750224148, 501.83935578747287, 502.51147739268396, 503.70067679041443, 504.39472292891151, 507.08079972677018, 507.42504829350412, 508.07448224280034, 508.92641279824085, 510.69042695325442, 510.7194841640142, 512.07314267866877, 513.74295872620337, 514.86514325217831, 515.11445378229553, 515.32260523848754, 515.44324830162191, 515.90603001628551, 516.01882209121663, 516.62122394097184, 516.68926463705793, 517.12490985280476, 518.54350256113696, 521.11878966250117, 522.65881354045337, 523.36986096579665, 523.402683859229, 523.78153739782897, 524.02088220752205, 524.18956431627396, 524.4674401775377, 524.96900277820816, 525.07905572976495, 525.34282699483856, 529.08793449848895, 531.50895508399401, 533.61941673332251, 534.21482402439506, 534.35428470929423, 535.00688718334084, 535.30630565924344, 535.39288209623646, 536.64739301241787, 537.31314614539747, 538.62871386753193, 539.29931174353499, 539.56019073843436, 540.60102534541397, 540.96076801263712, 542.07336345560452, 543.65565318087556, 545.35578005389004, 545.6080398410395, 545.72854315398138, 546.86071872637808, 547.44233429602764, 548.6860999398117, 549.53617220651199, 549.93033868355406, 550.41002393611495, 550.76211630329351, 551.42621977799911, 554.30081513793607, 555.31278256865403, 556.19075683562642, 560.20901618326729, 560.73786920963573, 561.46980959048165, 561.70631439816066, 564.69720342291532, 564.7810383414369, 566.17921502504248, 566.55593793320111, 566.65392098804637, 567.26631429523081, 568.38827392794644, 569.85558287632819, 570.61313177876639, 574.27187843596528, 574.37602446089841, 574.61471457301866, 575.24530999027945, 575.50245711266655, 576.01247273164233, 576.98126550718996, 577.03435713385659, 577.606999801602, 578.38381959040339, 579.04700982030545, 579.14482884575807, 579.28091041664891, 580.56392322453075, 582.55731178165479, 584.52361301994711, 586.97578320979881, 587.03015611790272, 587.33259281058577, 587.56131866570536, 587.69744394232305, 588.0718900567831, 588.76397316715043, 588.78828779740763, 589.47614497269626, 589.68498023756399, 591.15866964504835, 591.22101579814148, 592.34806364850658, 593.43460525570868, 594.35848164816639, 594.55004591459249, 595.97478203073422, 596.47803371912664, 596.70540691176734, 597.10834987699241, 598.76399881975181, 599.46173852253457, 599.49324193969233, 599.75554762063689, 599.81812846668993, 600.54711218823843, 600.96946309927671, 604.02685330955285, 604.55384874894821, 604.6298742699513, 606.76080624087149, 607.14720933894375, 608.68608406041938, 609.85686787139969, 610.68336592131323, 611.38945931336332, 611.49554158087722, 611.76584995194185, 612.05286057701142, 614.20546465689233, 614.97420662517197, 617.72043978261968, 618.79760081887696, 619.44235801638092, 619.92461607314374, 621.06311023499529, 621.85360919957486, 621.96749475206309, 623.06832492028764, 623.3846522211843, 624.96120087700092, 626.93236744119645, 627.12956045579438, 628.05953437762014, 629.06565790266643, 629.30246323433721, 629.49330229294333, 629.91591371659172, 631.4557706487393, 632.45509414132039, 633.86489150715556, 634.34863166631601, 636.34610541462246, 638.12617197557938, 639.11143537204021, 639.84231991262754, 640.38867569555907, 641.12995157708679, 642.16951166608658, 645.38745996820137, 646.26656102198911, 649.1021626030373, 649.78910992739884, 650.69515397395844, 651.51517201937077, 651.68190138926309, 652.29211419086562, 652.89090305674097, 654.35551408766787, 656.8250941559869, 657.06496439152613, 658.47471903913595, 658.97966559269196, 659.15604463914553, 659.82693723353032, 660.8125056889811, 661.38567016842285, 665.423495580338, 665.5046751165537, 665.68023075994495, 665.89961290869496, 672.33473235790404, 672.65625673975751, 673.40869424321124, 674.89363038924932, 674.92829854694332, 676.32740099939315, 676.81415923203713, 678.59738065731585, 679.84238918719268, 681.98601607999638, 684.79449287690272, 686.49018062427297, 686.56859557404732, 689.08142345517194, 690.04937719125917, 690.6579989664059, 691.04608960775499, 691.07634509001753, 691.42055719556049, 696.05276138205295, 696.86126442800253, 697.10894259963447, 699.2569527919544, 700.95333929098274, 701.13650538240233, 702.76307798030416, 703.23846881147017, 703.8441177903768, 704.29151421087818, 705.23090089516541, 707.50612110752081, 707.77550552276762, 708.43609989295396, 708.46264044199495, 709.93852247673362, 710.05394825286157, 710.42921948937885, 711.23217294001222, 711.57730989679374, 711.72035066002286, 711.86335999142932, 713.79224897501888, 714.14716706756042, 715.09986833858818, 716.09765616270226, 716.82915661566722, 717.40812489586756, 718.17574742719717, 718.50927882553185, 719.13624322226701, 719.6481445655163, 720.23718759117935, 720.76169604528343, 721.72870316223884, 721.86103883614908, 724.26115877064728, 726.05767173837955, 727.97606669078732, 728.95314190377428, 729.50875752711647, 730.31109775468872, 730.8776478849253, 731.14393470712344, 731.22306545591448, 731.84057212907885, 734.40757801539235, 734.54292751287812, 735.03098809357618, 736.40296523317443, 736.86179557445314, 737.59075333736337, 738.95290951295681, 740.16247265874483, 740.61807925793914, 740.70625578264492, 740.82739698795103, 741.17163181410365, 744.39693183388283, 744.45658021900465, 745.75439812513446, 745.87678686242441, 747.57900044472706, 747.73323456929199, 747.82534058714816, 748.36888208850007, 748.39861351752802, 749.72516549528314, 749.82477519301017, 751.59080337762134, 753.0169118501185, 755.65366589434802, 756.23319977569827, 757.35791104248858, 760.83198101978633, 767.52090449410821, 768.85330671605914, 769.87484546957876, 771.28955984034064, 774.08783975887604, 774.54270484477524, 776.73692018674035, 777.68646949415074, 779.95149905438473, 783.76317380973751, 783.79036512259097, 785.07718729720591, 785.45772463042124, 787.70435160621059, 788.74497331513317, 789.34129072947746, 791.56846519601447, 792.55266726148147, 794.03988539401257, 798.13449718561344, 798.7396503695951, 800.34421521296588, 800.47096326395206, 800.7692798662423, 802.64171087830846, 803.43984997387224, 806.64809956347119, 806.85146416937573, 807.169585034119, 808.52470300443883, 808.66396009718062, 809.17847052524019, 810.22959840013129, 810.62955652850712, 811.10216067377644, 811.21289268090004, 811.68427574795032, 814.37566521117265, 814.5145674595401, 815.60856345966249, 817.39576009375924, 817.56099719187512, 819.81851727630146, 820.01525983284409, 820.80844929727277, 821.84220886598564, 822.05646083657189, 823.25506125167601, 824.54745553623684, 824.9516914986167, 826.57535950224542, 827.8118909064932, 828.38285137780122, 828.91006762515599, 829.91086338607249, 830.81967240429833, 833.06597183150996, 834.30816885528498, 837.68297611166395, 839.19568290115467, 839.61179719493657, 839.830444573862, 840.21194427358716, 840.60673780332593, 842.57930545151953, 843.47909648897416, 843.53718515276421, 843.85272678180615, 846.1499136346564, 846.66257380809373, 847.0173972466564, 847.29713517323478, 847.52731879503119, 848.54982958522839, 848.7406924998354, 849.61269305314113, 850.18372717647901, 852.73490684642138, 854.68344231610399, 855.1794465870114, 856.6772619363669, 857.69433821204802, 859.67917483585052, 859.79883506022941, 859.82863229097654, 859.84918362119265, 862.19598497303502, 862.3938874303733, 862.45433594659164, 863.06657394041986, 863.45123045433195, 866.13607651797736, 866.75578372187272, 867.27085150664675, 867.77287670057899, 867.81357502270646, 868.32708727118347, 868.99809149499822, 870.35504093751229, 871.43085586567349, 872.61373334549967, 873.1169125484322, 874.86167325310612, 875.49603061018286, 878.43838308843249, 880.0041703734247, 880.0832653536736, 880.23074018525404, 881.32066991247461, 881.57662606375391, 883.96138284498159, 884.23016366844524, 887.83764832452516, 889.06330605280357, 889.47607895369515, 889.59957981226091, 890.08332364376156, 891.2881060705862, 893.24446316729234, 898.40337824563028, 898.46330696775692, 898.65337304317393, 898.81108176375449, 900.27684868591712, 902.56060923554548, 904.4474386686951, 905.43553837111324, 907.72389853115419, 907.7570966230852, 911.35085071493324, 911.52890758685828, 912.51219663580866, 913.70902529636192, 914.19831935918296, 914.74527485566352, 914.86755204630367, 915.3905639948963, 917.93098428398696, 920.31473678590919, 920.45986909638327, 921.322240620005, 922.17763445643743, 922.51220710163375, 922.59332679132694, 925.02040770172118, 925.84385706497233, 926.84541376489426, 927.40398873968809, 928.49801504116886, 929.15935382291923, 930.01895549475591, 930.95889314141982, 931.51435014047752, 931.56209944154057, 933.27441781572566, 933.54379707220596, 933.7574054402271, 934.04929447699453, 935.83475640321615, 936.09819303439542, 936.19692151475624, 936.75739006129527, 937.08318010542916, 939.05384596813587, 939.20547361719639, 941.75015884487937, 945.65263083706657, 946.29879321819033, 946.98838650794278, 947.52120546492017, 948.03948227493788, 951.41578809557996, 952.44307640621537, 953.47818072936411, 953.7064085830807, 953.86677315366126, 954.03568815023129, 954.46071482872355, 954.73999694180236, 956.16197394934511, 956.90692982568055, 958.02756035571213, 959.0762340247594, 960.37830078780576, 960.62047202108977, 961.30138417961427, 962.65618167718139, 965.04086419897305, 967.77226869559206, 969.13332379734686, 970.25210783805699, 971.1397159537471, 971.16753779631631, 971.99191524454386, 972.7472008822175, 974.601325986397, 975.8772310112787, 976.07365291918768, 976.19872522233993, 976.6656531747351, 976.90001483176536, 979.72000633282789, 980.09321519628543, 981.87328691205823, 982.51913757885563, 982.55524215182265, 982.81978104288612, 983.9723119718426, 984.79752593528394, 984.86836206672353, 988.07811248963037, 988.19918245779093, 988.2398091345766, 988.64096412888216, 989.75124861562051, 990.43134655306744, 992.39771158669112, 993.52416191154714, 993.59588303303894, 994.2512246229154, 994.96452262246271, 995.91240007818237, 996.72603268408602, 997.11885257048846, 1000.727678422671]),array([9.0604242803006834, 9.2255040997601956, 11.323367547447424, 12.880761273022557, 15.028599686722137, 15.887041370481349, 16.250800538467683, 16.704494745693673, 17.011535230567766, 17.822446187918434, 18.999468577730653, 19.232535859542526, 19.82274655003506, 20.655502610507003, 22.525927294651524, 24.670989971253203, 24.766880319917931, 25.513515592422259, 26.801210186325783, 26.893446328371002, 27.812038360465785, 29.469932231871226, 29.605489050046671, 30.27398666991234, 31.494869557434598, 31.876081524864453, 34.603860968954166, 34.871085295580365, 35.209679652472616, 36.131315304627215, 37.616855922573805, 38.238447010698515, 39.536366488072652, 40.204012448428443, 42.22794394828049, 42.727610233819, 42.92702335394965, 43.657033376181396, 44.348157099495978, 44.568431772233211, 45.939348535907122, 47.831820467131195, 48.382245372469178, 48.477295767817367, 49.261931958732028, 49.41363956850887, 49.503168144058741, 50.980857670672663, 54.376375997727031, 61.396125497501949, 61.455790262473535, 61.493590798401058, 62.709551659576356, 64.432125110884456, 64.495795813738766, 64.670932424112266, 66.82447446527344, 67.30708018636183, 67.973884985117834, 68.032959276323751, 68.341406478325197, 69.525473362997104, 70.465325155023663, 70.962728699501653, 70.996810896390997, 72.807018307897096, 72.894279985749634, 73.594307453387842, 74.08106522634489, 75.618528337862159, 75.77876207214122, 76.561033036285579, 76.743387561090117, 78.552479355217955, 79.574020858346856, 80.771902268812923, 80.835216450525508, 81.093714099447624, 84.209949713712987, 84.4109432688211, 84.487757121568563, 84.652955134608888, 84.847790515062556, 85.44611672262684, 87.707696849508466, 88.113738488818285, 88.408935413907827, 90.16085969929938, 91.433791339374082, 91.610176908779124, 92.383244386521156, 92.429381231200637, 92.768576663399429, 93.996230749674908, 95.793626420950574, 97.537406147998567, 98.775054834215979, 99.023690729019492, 101.13662705328842, 104.11955127892651, 105.07383341918472, 106.13819963271793, 107.14814208864166, 108.91100280310184, 109.1073339032138, 109.5392496376076, 111.18415995560477, 111.96874646679683, 112.43127634229273, 114.94531135856042, 115.54679716371244, 115.67966733897245, 117.22231349721305, 120.90307246795221, 121.33794774432916, 122.23109712564188, 122.85182602783863, 124.70997023693276, 125.49555747783027, 127.72375611091796, 130.51163516559009, 130.63297419420056, 131.03593975061855, 132.1142147012815, 132.15802198339659, 132.51767083249234, 133.37108272339196, 133.94338996171871, 134.51157572035004, 137.72442230981156, 138.17369746206586, 139.26056971634236, 140.52755000778768, 140.86574140837914, 141.60941292738812, 142.96804482380639, 143.18964113011734, 143.61003447289826, 143.93950109234595, 145.58492038122876, 146.13038209037168, 146.75929109180163, 146.935466071436, 147.1291172115441, 148.28177212442438, 149.46253404597329, 151.55384387146628, 152.651716917523, 155.23478931484243, 156.05855845329936, 156.14552835563623, 156.35994602047359, 157.01546624552051, 158.80479286020042, 159.38151484146144, 160.94537408875743, 161.57336774210214, 163.40341621951814, 164.20906122235854, 164.4874922711976, 164.52638722856886, 165.87982440136372, 166.24308239897189, 166.34817163473429, 168.32903418511893, 169.98026936011672, 170.04393044363758, 170.32748268951613, 171.68859175924621, 172.67233686226152, 174.08613769506456, 177.31063035368854, 177.33953432315795, 180.2926139867669, 184.02584654438257, 186.71466065511191, 188.22432047517157, 188.80614938119703, 190.93203098945389, 191.09679836746781, 192.245585674399, 192.30118683537574, 193.07274869393586, 195.34124301426286, 197.92943842122321, 199.05340953805177, 199.68506160774498, 200.0092715112267, 200.39644992394417, 200.84070069084879, 202.4538870939632, 203.18518744550005, 205.15549405523089, 205.39004158533274, 205.93236771019963, 207.72930324717169, 209.63094795940486, 210.67667860205856, 211.18980382206021, 211.22776334340026, 211.75476246037385, 212.78010596864362, 213.24287241984314, 215.8435476337913, 216.60755716258362, 217.528561912844, 217.69801869468748, 218.04857603439763, 219.19962007561892, 219.94541960683677, 220.24915221410126, 221.25135539925714, 222.10254281001522, 225.92970194586027, 226.07247173677072, 226.78803671346665, 228.4717931620651, 229.94476709345764, 231.47385413744865, 232.30825407061383, 232.6317963474344, 234.55441044393604, 235.88786802462923, 238.94983446605005, 239.86639276526716, 240.58830827209715, 241.86280634917443, 243.76613292725654, 246.43618448896785, 248.82376185887563, 250.56569623173598, 251.10565645549559, 251.68139146430127, 252.8030158067842, 253.20159433219405, 253.95992775325678, 254.19631027051318, 255.17834332014309, 255.85885810329239, 256.26051038682135, 258.21719144477169, 258.27974824275481, 261.92736602336385, 262.43725439846622, 262.76062660542169, 263.24758366543972, 263.97183081197034, 264.17816683591019, 265.78079765296064, 268.61057985095357, 268.90475943502611, 269.54740941076943, 269.73310390668144, 270.29546811639705, 271.09897766701511, 271.95603520580994, 274.71377699729055, 277.04284106748128, 277.53792827302328, 280.22178926703668, 280.84095711251905, 281.51520274351543, 282.00015934514016, 282.10479500786141, 282.19514246348763, 282.88168302953102, 283.36125131450098, 283.66870859194933, 284.71168698977795, 284.77339531712425, 284.86132406610568, 285.39548801587387, 291.44768473048373, 291.6366191104766, 292.67251054551468, 293.12075270638763, 293.54141467044809, 295.43212859202384, 297.205811095439, 299.33308762072176, 299.45092901344168, 299.97141058036391, 300.04290787535075, 300.17742494342349, 301.94162495272928, 302.88385088071874, 303.67396097867066, 304.16909562231018, 304.46826604162504, 304.57020867766659, 305.39165352567659, 306.85467866120064, 308.0244016129223, 309.01308068128515, 309.27859875627883, 309.30008850928789, 310.12323640908045, 310.87381279295533, 311.05744031588574, 311.36973290282225, 312.19042742606541, 312.62831079990917, 313.1472641329438, 313.24692147519681, 313.62885427464204, 313.993293449578, 314.65314983628485, 318.49136841473819, 318.57815240627684, 319.14032837179508, 320.77187706028423, 321.1573098757853, 321.58583142688582, 321.99139385507146, 325.53695693501595, 328.28348320477158, 328.80226751524145, 329.4220410601032, 330.7271655886554, 331.3173963029185, 331.50918916099585, 332.6122463488278, 333.18096487196101, 333.7880206582675, 334.58035892573417, 335.15551446682161, 336.25551313826327, 336.8496221743527, 337.10977896480421, 338.84691156475265, 339.06764900558585, 341.7318314147555, 343.81439251353908, 346.32019594577037, 346.89893585071388, 347.11837312625369, 347.76984086948329, 348.98613746089256, 351.53273752091786, 352.02680343232834, 353.33131683192033, 353.49220947026208, 353.74248402101716, 354.12089764709555, 354.49629810049015, 354.51976024367093, 355.50800425044662, 358.40601419350747, 359.14766017088238, 362.16308725182404, 363.02458382459503, 363.29721611474406, 363.91521123836498, 364.3585144164245, 364.71164236257169, 367.15443321179089, 370.38450025504949, 371.01274901695791, 372.6314727439219, 372.9472087673559, 373.36891332363194, 374.09808318219405, 374.51091000554248, 377.11629570180276, 379.41994006600191, 380.07087908858631, 381.13167655294586, 381.63398002295008, 382.4708929659206, 382.76828502513507, 384.06901378426699, 385.55593265197933, 388.34961013791036, 389.04687253809112, 389.96021560234914, 390.82495369500617, 391.46469381976823, 391.52453849397637, 391.61314594858879, 392.32908310887672, 392.83877265277874, 395.2621651300326, 395.88636636650483, 396.54019981910034, 397.77871588829407, 399.31427201227996, 400.88887906412646, 401.15034158741457, 402.76190042408524, 405.78268397059071, 406.06698644225662, 407.60963147980834, 408.7142672261063, 409.5777724633632, 410.05020528615739, 411.29244834915295, 413.39211889690216, 415.29405962501227, 415.48929058150441, 416.05540180144061, 417.09595935465597, 420.21907186514233, 420.56085951530775, 422.93547174062269, 423.85720702446588, 426.25552446628967, 427.28556851035324, 428.00788509977355, 428.21182085153833, 428.29228992961799, 429.22437764805466, 429.77202520835795, 431.48702730791734, 432.60177000770523, 433.31244161375923, 435.23142744171366, 435.4747159506685, 438.61873324112798, 438.80270021127217, 439.13867676705263, 439.81479268303809, 440.74352772560809, 440.85784517669168, 441.81687507296294, 442.05676413070478, 443.04970378237851, 445.2069115117734, 447.72181180491316, 451.68966661344297, 452.21744319506439, 452.39450527982382, 454.50778874556534, 454.54880194524748, 454.9337415225375, 455.06711430083095, 457.28174243786469, 459.73069758223238, 460.1386355229011, 460.98915848609221, 462.13190241631906, 462.80538752608425, 463.41359668563445, 466.40142783818675, 467.27890014518948, 468.20780598003347, 468.40246018714151, 468.7705449192303, 468.82556800604146, 470.4188877863117, 470.71034392187619, 470.81068390233628, 470.93509404047126, 472.02819952194056, 474.23960801349142, 474.34365408778086, 475.22411136626113, 476.36251669146526, 476.54243756436483, 477.3203107019533, 478.07359559377534, 479.09459101514165, 479.54980460896809, 481.60679882531065, 482.74569522717059, 483.53948129215922, 484.24242889349233, 484.50121494284463, 487.69735828621174, 490.8550404922259, 494.26423964868997, 495.41131291590045, 496.98523036958125, 497.23979545193629, 498.26326143151857, 498.92629752389109, 500.53951895509846, 501.10347449370317, 501.83732508146664, 502.7112923275422, 503.06691354390284, 503.6726384155574, 504.76108260142558, 507.63589165779399, 508.10050530551831, 508.21521549080529, 508.55827207427564, 510.38130890521137, 511.20334661209853, 514.14551577939517, 514.23903096257061, 514.54719858037231, 515.6581858683237, 516.91258840109072, 517.27222843595393, 517.42509565850423, 517.58439365939648, 519.90450166288485, 520.62102171497281, 520.8043247530394, 523.38382374637013, 523.59296992213353, 524.12207281171663, 525.07641039723308, 526.0828502742105, 526.45298696961868, 526.73223550927878, 528.49023530724355, 529.9682895412102, 530.24438478431989, 532.95462096570373, 533.18473163385636, 535.14233623118218, 537.08288840628882, 537.20832606543286, 538.09829538928216, 539.03344989922323, 539.30190685764251, 540.800540136, 541.41552074579761, 545.25667314254986, 547.02076950221101, 547.22560192817105, 547.64524769078719, 548.05363601989882, 548.90997742782247, 549.22887169936109, 549.47896446376546, 551.11651428170376, 551.17435839251164, 552.38558694477172, 552.65054496867685, 554.11552649853036, 556.45683915952759, 557.01310164557208, 557.13997132527629, 557.55826593891277, 559.06629469366658, 559.60631876351931, 559.68499960585609, 559.74139259644062, 561.59890804157249, 564.04506478512315, 564.66892690738734, 566.5902606224771, 566.64916205835789, 568.80822206850303, 571.63758935416161, 573.43776282690135, 574.71403144567228, 576.18238527815924, 576.40415343281234, 576.44736917050909, 576.98835756258961, 577.11891167960778, 581.28615736897564, 581.40800292181643, 581.53971744771889, 582.44360832954499, 582.92484763408766, 583.64365187174974, 584.58894060462217, 585.35981083914703, 585.7000684909566, 585.89100479457079, 587.86689713848511, 591.4711337889762, 591.94980085448674, 592.60472984810986, 593.83599437536009, 594.84793147192727, 595.74492952840001, 596.48848149584728, 597.74347733995012, 599.74934227184451, 600.24377378774045, 600.65519253959985, 602.39285870447361, 602.59965657985981, 604.05422204381034, 604.12266707582546, 604.82039425356822, 605.60406352526377, 606.11920760307794, 609.20405045470386, 613.17536278618013, 615.70337020566217, 616.82039717191174, 616.89600407221883, 619.77408157967034, 619.86081853031453, 620.87125538541841, 621.25089524977113, 622.14911123825107, 622.78829344270559, 623.81935944933434, 624.24750678454609, 624.90025757005947, 625.71291198282461, 626.05570537091694, 627.50232408435272, 627.55579049571497, 628.55390126126656, 628.67836270448345, 628.83451619923653, 630.81345095377378, 631.02456853511353, 631.29839568103114, 635.13853112188406, 636.00348334852049, 636.22859720477913, 637.23598737986231, 638.32839363481833, 638.63750852489852, 640.92498786361261, 641.30669490268122, 644.65068147575164, 644.88392015075908, 648.8402540773493, 649.71314610075012, 651.88997573782547, 654.03819422381866, 654.27361249707371, 656.22542798496977, 657.5234613765424, 658.24227287249732, 658.65102677894538, 659.16753961658628, 660.24315398979479, 660.95229017921008, 661.91765973048814, 662.29771440831394, 662.67179038734582, 663.99813789742132, 664.10684050547661, 666.59598753414571, 667.51055781480693, 667.95447038009479, 668.09727661455088, 668.59322078396258, 672.52005838131731, 673.90563755115113, 674.17319179758863, 674.71856519610697, 674.74372277693624, 676.97895517246525, 677.73275588637046, 678.27599792925491, 683.16242818924809, 684.6528640496075, 685.68829589506356, 686.51180150199855, 686.77364687478325, 686.9042286465733, 687.44179102977103, 688.02466126053389, 689.14884367598506, 690.03740590738619, 690.14905594617289, 690.24510991957823, 690.64163919039152, 690.90563740579955, 693.85109266297877, 693.9140086969586, 694.12395249187489, 694.50323634316555, 695.54109433423787, 696.22327838530623, 696.34915019840423, 696.43651908802099, 697.08046553460952, 697.26608034813023, 697.61331117925738, 698.11829708341077, 698.95761317257154, 699.19604169234344, 699.39132555372873, 699.63072128792692, 702.52713502803158, 703.10574384879192, 703.68158222538113, 705.09798831305193, 705.29574022086763, 706.10397562587298, 707.45641441429427, 708.00536410549387, 708.30922348531783, 708.98087082295444, 709.7098239597251, 710.78441968998982, 711.07778080898345, 711.65448834565916, 711.69958104005104, 712.30829181568151, 713.26122212769883, 713.56877246600334, 714.25393472104395, 714.79063777211036, 715.25961602568657, 718.6471806340968, 724.27518621221952, 724.74336278822432, 724.92063309172318, 725.36274853151974, 725.61898071113728, 731.61182303051726, 732.61998374868074, 732.91658943867469, 734.01672281270271, 739.28484440169211, 739.69544182528955, 740.42209419123935, 740.45355747983137, 740.67399359904925, 741.72380187160525, 745.02514558406028, 745.4217472656461, 746.80523954580644, 747.03803209269017, 747.29379498327182, 747.67856519658233, 747.70915522971995, 747.85445641281808, 749.94482199600895, 752.88564300879318, 753.01034145485369, 754.37314151453586, 755.2731877982543, 757.0698372188441, 758.93049781359457, 758.96036140152296, 760.16955253407457, 760.27682122863189, 760.65693233944364, 761.04287078636935, 762.95629259737063, 763.01954354715076, 765.37779588456215, 767.3772325099543, 767.70003829148277, 768.03917049738448, 768.6959085721702, 769.0858481637199, 770.11154937674007, 771.04848501171944, 771.9956462320489, 774.6771610585098, 774.99446041355418, 776.88475274888435, 777.00328473859804, 777.2381699412158, 778.0060803294208, 778.95775490301764, 780.77380979719874, 781.07423931702954, 782.02652609147231, 782.7073951930339, 784.49496727619089, 785.46629496163825, 785.91344636610097, 786.21546361967034, 786.52889934717984, 787.54013296443156, 787.74727162106115, 789.33027991590302, 790.62564268201777, 790.76004066016912, 790.96247788980418, 790.99774057468562, 791.34480316541396, 791.60891229279491, 791.70749190262416, 793.27634424408859, 794.07126397080617, 794.884305632885, 795.95355467399406, 797.44724583759, 798.48667370662645, 798.93155631528816, 800.1249404388418, 800.33515809218477, 800.5246056336083, 800.54853142225636, 801.96786908230808, 802.54881172099158, 803.89449961908247, 804.50280545968474, 804.92701827933956, 805.96817094539608, 806.02234122575749, 807.05828383604523, 809.22828122389819, 810.26922194823192, 810.90666554242114, 811.71981019987413, 812.37915391446359, 814.14868296048883, 815.97571828441016, 819.30583363668939, 819.50598098225635, 820.24683502764526, 820.63182297928495, 821.0457328143724, 822.41866362264318, 822.62357419618218, 823.13219714789011, 823.34922950664429, 823.80154479078294, 825.22695464661854, 825.96014280849977, 826.6950865014162, 827.61183380633634, 828.19847684484785, 828.45882574912616, 828.65800648427341, 829.45529444093654, 829.84078037241125, 830.10723296878245, 831.50423339770362, 831.7899705553059, 832.14351671147608, 833.12598280608995, 834.09680833167283, 835.68745830381522, 836.50782013810522, 836.90563791557065, 837.54164555886075, 838.19809743923634, 838.65709604307108, 839.42021364409402, 840.92538574288244, 841.58760530983852, 844.29600076533723, 844.76287568636747, 845.84610920573277, 846.05200481697443, 847.14529810876388, 847.17628827645137, 848.94699548911399, 849.07831804048885, 849.33553569020853, 849.69659440781697, 849.97290490903708, 850.67390538662141, 852.64636423288744, 853.0204038100909, 853.60082656076111, 854.09731348000412, 854.37848154804828, 855.3657128984479, 858.01673950711722, 858.43948390517926, 859.6313894118482, 860.29195941610942, 861.01735037877745, 864.57317106893822, 865.86843341208851, 868.03322325133752, 870.13489470151728, 870.71913266862509, 871.97518143537104, 872.66427161434171, 873.1619332984493, 874.93977211893832, 875.91544280258938, 875.99078710633125, 876.06593467343623, 876.23832008186514, 878.67466233032667, 879.47000484388934, 879.60429559647662, 880.96415676435379, 883.40074229917207, 883.98946668246822, 884.8390158776059, 884.87471793249472, 885.17958273016973, 885.76106624184376, 886.48878613919987, 887.84706803819586, 889.26628186579967, 891.03188653352368, 891.57009988796233, 896.29346983967901, 896.48520457835991, 898.26340081168803, 899.12380224297476, 900.26934437622469, 900.97419182371664, 901.04727162166239, 901.17088558301884, 901.90588387687956, 902.09631509299663, 902.79716670914945, 903.13304291103191, 903.89120242463378, 904.30228204568482, 904.78282650291555, 905.22046500935176, 908.66704127808066, 909.48188636633631, 910.07331754143684, 911.23883471610168, 911.78597210886664, 912.39295021130181, 917.39763826619128, 917.9318411009142, 918.29796928996984, 918.76027310489098, 919.43051344237131, 919.96194742398893, 921.31478532534925, 922.02916412036802, 923.5683450111668, 924.35268686331835, 924.68323689213673, 925.36335831780707, 925.60616954699958, 925.99936999368379, 928.934424891601, 929.82753386099284, 930.76893453262471, 931.37269532873654, 931.51868916657338, 932.44355825482307, 933.44164134466519, 934.33331184118174, 934.58126126186289, 934.97888364168614, 940.32148613416109, 941.78796818899173, 941.96993336315484, 943.55367672204738, 943.78520240063494, 944.81432978008547, 946.2406815229175, 946.58615320880142, 946.69817028443492, 946.86418302289655, 948.18728823505626, 948.53662126213158, 949.24408392991995, 950.44814001299881, 950.88768620780365, 951.60130771414413, 952.16834191992564, 953.27953174755464, 955.83892469577415, 956.98796693130328, 958.12137988026041, 958.54802066213335, 958.59727850114712, 958.81257626104195, 959.54614169658703, 960.20920660945717, 960.58259315037583, 961.6829369117562, 961.72268298712322, 961.90387470253336, 962.77253820243618, 964.71327188075736, 964.91996581231626, 965.57790828544387, 966.41946313661504, 966.622913013887, 966.80976237036396, 968.57946363824431, 968.63109541047629, 969.10781637787386, 970.07683485683071, 971.34284532682261, 974.13070820349151, 974.69895058439465, 977.6243086242489, 977.82524817547699, 978.01898892839631, 978.18571243273209, 978.54671462748615, 979.4423074993, 980.17657835516218, 980.82227369918633, 981.19403684207521, 983.13299609266755, 984.03028858603147, 984.41476476168225, 984.46515850579783, 985.35769750343718, 985.54853588592368, 986.7857535837652, 987.02684349937851, 987.85174201674329, 989.29058764151614, 991.85508856769684, 994.60298701450074, 995.09917169792459, 995.30439526008593, 995.57949949569343, 996.54814488664124, 997.31631473903076, 997.4736552311573, 997.70206047302827, 998.83222364393248, 999.96024685759028, 1001.3434461312752]),array([65.76585050784324, 66.908979474628921, 67.190986029307567, 67.449471202960197, 67.611607116752126, 67.983011257038314, 68.366678066643303, 71.406148946264523, 72.049907410881005, 72.500264926652179, 72.55968774544904, 72.6603122622613, 72.813926071278999, 72.903087320215604, 73.215446122178449, 76.345208068092276, 76.828337084087636, 78.03310468520128, 78.436060534764636, 79.019278642845393, 79.757880539145631, 80.180806322429106, 80.787942317695965, 81.200539345981696, 83.242730356331421, 84.146040263394539, 85.107541067355569, 89.963765035407462, 92.075659540291653, 92.557687284350564, 93.906334913911365, 94.7381705311617, 95.197347223715511, 96.597170688105365, 97.536514461026727, 98.06243554231304, 98.355945459134048, 101.23971571996701, 101.47412732877332, 101.52931849890224, 101.98922542604524, 102.52541577202503, 102.97474118747633, 103.66766251530861, 104.17503384951084, 105.05246408911596, 105.74874884864857, 106.65571304667574, 109.36752712325243, 111.1968480097633, 113.61236340869225, 113.81036019028168, 115.49104484364108, 116.15861192005666, 117.00264514731256, 118.72559922235835, 119.28503137377936, 120.24524784433321, 122.86462440298752, 123.81428182176519, 127.3416830511573, 127.89473677917017, 129.04276029034202, 129.95729556019657, 130.04451352609803, 130.78498985455769, 130.91207610035477, 132.24245937846024, 132.33618928322232, 133.70644616439466, 134.46008994173795, 135.0721234202106, 136.09926496407152, 136.79074523078822, 137.44211025205155, 139.93263370574746, 140.10478039639528, 140.22305070700929, 141.90489790809832, 141.98162992735561, 142.83796215318409, 146.01938006492989, 146.30671854732941, 147.58403649058229, 147.87163192645531, 148.74071395462471, 149.16350670638022, 154.36821384651157, 155.36932249384989, 156.91656431359041, 157.53452530824637, 157.93899683975013, 158.82255092162822, 159.09064613154177, 159.73036969493356, 160.04940081632787, 163.41315724567184, 163.71792225959024, 163.93166813456483, 164.80920625643915, 167.65703684239944, 168.49493636181873, 169.99437557764202, 174.10882445151938, 175.3091701573658, 175.5253716722508, 176.39098712158457, 176.43976342652076, 178.4946093363865, 179.31677209484744, 179.39016926965567, 182.37739084361147, 183.61411588803628, 185.31296411675444, 186.37151642163471, 187.12567285539245, 188.10911370072387, 188.66396882668764, 189.74806173321153, 190.57492474341475, 191.01082778829343, 192.65821978605334, 192.80943812719337, 192.98184192710698, 193.46256892277418, 194.93136590673447, 195.01528044091461, 195.2624307341832, 195.46987137084665, 196.31290550797954, 197.14700234741508, 197.31576021092403, 198.2354306076297, 198.27916275855458, 199.39434410844308, 200.27480175706589, 200.43476469952208, 200.46304228246538, 201.89836354092199, 202.09897429770237, 203.65490928825821, 204.52187042088028, 204.57893004679059, 206.16517689195891, 206.19808633068766, 206.29727057675689, 207.88080101118831, 209.64844632261122, 212.11207949565198, 212.33924214478904, 212.40563856713226, 213.30064987694732, 213.43724703948408, 213.56510180975596, 213.62757762912275, 213.85826810395454, 214.51481710420472, 215.24642588835277, 215.89011487115522, 216.67230827823641, 218.00804019190775, 219.11646375637636, 219.23386226057548, 219.83722562958408, 221.84799360350047, 222.35761487437173, 223.07164454453462, 223.11288611032177, 224.81458497940136, 226.08555454070628, 226.60912519271753, 227.14965889288843, 230.68183960116821, 232.74811635824082, 232.86346172118655, 235.12055480213809, 235.42604868193177, 235.89258707002963, 236.18187008548284, 236.89640800790491, 237.36232672766405, 239.69467381229501, 240.08903502749078, 241.43948037006089, 241.64953047413039, 244.62268195910485, 245.30980034910846, 245.69434296034001, 247.72306095477907, 248.37276947815656, 248.96033260127322, 249.6076255137344, 249.64572283912639, 250.39753693392893, 250.69562156809465, 252.97052108434357, 253.01970547278168, 253.6242706284078, 256.48296021350387, 256.67824933142288, 258.14408252173496, 259.6334797188768, 260.40656217163047, 261.01762134241102, 261.25303400749181, 261.32907651394783, 261.53718077418108, 262.53139111632424, 263.48268423978527, 264.66294884661102, 264.70077159458293, 265.95593289374449, 267.51228684553269, 269.30987742672846, 272.06515669886801, 272.76279949065668, 274.07148506846164, 275.51146365970152, 279.35639665677485, 280.29456100995185, 280.95391843187008, 281.25256607640677, 282.05611879348527, 282.75780704117579, 283.96621436921816, 284.11691750288043, 287.03620064443248, 289.04607223317453, 289.24583838150409, 289.48817753258874, 290.48877255237551, 290.97470198370604, 291.54150196822707, 292.02879482617391, 293.46351456974196, 294.81022576598235, 296.36257545333211, 296.78862037836956, 297.24491921195425, 297.32513147164201, 297.83504202689124, 298.47568865869516, 299.12454159508826, 299.81643360050714, 301.62672510741334, 301.7879401565001, 303.51241110363304, 303.7526483328682, 304.23080208592256, 305.52299358527739, 305.55421002119863, 305.68962884548773, 305.863047562124, 306.12816272039561, 306.46937276298524, 306.67503845439609, 307.22495908584813, 307.66826749350082, 307.72817253440252, 307.99161648013467, 309.73798337774082, 309.80057795887774, 310.12961605702066, 311.50608296209339, 311.96753361565561, 312.4021616533837, 312.50688175226696, 312.56875645120653, 313.45517436944186, 313.63307895013276, 314.12744630199091, 315.82054091452483, 317.32559529393478, 317.53465684812767, 318.42815584874239, 321.65461503124766, 322.35149157949979, 322.89390032627466, 323.39562617227466, 323.48103485579577, 326.31434169506269, 326.6809780148634, 327.06928778839716, 328.51322769449854, 329.36045829816993, 332.69434382070131, 333.47767491536075, 333.57129308063048, 334.52915524392625, 334.5631631987809, 336.18282744135922, 337.18947603084035, 338.22137861223644, 339.11420669321859, 339.73049722645681, 341.35967411653036, 341.8544654777254, 343.73172481460506, 345.58999931974921, 346.11083164337168, 348.29272232341094, 350.42844866530777, 351.49807099289188, 352.54750128484613, 353.75485364782224, 354.04420376952498, 354.42223169751992, 354.44525105837744, 354.95835483574785, 355.73527288265541, 355.78250302168465, 356.04569774645904, 359.37191310747602, 360.0450171144235, 361.98290610629834, 362.59551116942049, 362.79902732283159, 365.69541983020599, 366.5138973650794, 366.7307213014347, 367.49657400998279, 368.72446630325152, 368.79338985766174, 370.32008599095769, 370.98993136448354, 371.56272641058126, 372.44509331272604, 372.72859832180438, 373.58139270450283, 373.90572287513373, 373.96100818441528, 374.36833034079717, 375.5240087175701, 375.89314450180831, 376.307844852644, 376.78761033724868, 377.55561323564831, 377.72363438921064, 380.00915483067803, 380.54595672886029, 382.98432204733678, 384.58527866176206, 385.79045702238443, 386.80416398172849, 389.65808481553984, 390.27841420402592, 391.60178741228458, 392.82935233276635, 393.83574614660068, 396.19651817356134, 396.32551557316793, 396.79808997008024, 402.66867028193718, 403.14597063926283, 409.63567601948932, 410.02601328895048, 413.09508302179398, 415.24594634835665, 417.16595915505656, 420.8693096706977, 421.65861905142185, 421.72596414764723, 421.83831181806488, 422.2757566593462, 422.49923036090883, 425.17083386485831, 426.08359027415429, 427.4631106493614, 429.17968741210063, 429.46251469867985, 430.71778896808559, 433.43091649304921, 436.08869647445096, 439.55920339734007, 440.694480621965, 441.94784100719301, 442.31459994373495, 442.51518903153351, 442.70398277187684, 443.42045148152465, 444.59935447323426, 444.80400563169616, 445.51635167723214, 446.68960451882407, 446.7398870978779, 448.3349318430279, 448.92307333397457, 449.26250449825142, 449.6393384831938, 450.79868216383039, 452.11931805761179, 453.42202536791626, 454.4116218597477, 455.56377439357601, 455.8391470820643, 456.28350876802398, 457.08854864158798, 457.62899742637848, 458.54387647953064, 460.79864849177329, 461.47565801187596, 461.86430694811691, 463.72956322267771, 464.06544587379727, 466.21515018568988, 467.52489704318151, 467.55554257459147, 468.33276618450338, 468.53525087644726, 468.94110653732884, 470.65056567856197, 472.03758859421936, 472.19902755238274, 472.58362095196395, 473.46244022968096, 473.8634352076146, 473.88800931108761, 475.50336688936602, 479.10094560909073, 479.16291662878763, 480.54499927882853, 482.69964106018693, 482.86588276127452, 486.45002266516929, 487.77833501115765, 489.28177503160396, 490.71013515421123, 491.53098505713888, 492.19367589656946, 493.386317267869, 494.19726901124807, 498.26284436080317, 499.53152681548909, 499.79206707906911, 501.69114980871626, 503.26419329109592, 503.40093474739496, 504.17014318878199, 504.22667425482729, 505.09884411183327, 505.78522864425713, 508.64420042916402, 508.88232151117347, 509.42613656159705, 509.63109613366589, 510.22990107130323, 510.28815412430748, 510.90547339043678, 510.99903306199781, 512.01727911700948, 513.25430795048476, 514.40455397427831, 515.84136000628621, 516.11982917586784, 519.39108916590089, 519.96399790215298, 520.1367766366036, 521.44477368460844, 521.96216524089539, 522.43882580744162, 523.88607445272964, 528.37198289484797, 528.95329256504476, 530.47184376044004, 531.3744079114374, 536.62228466824092, 536.78653179854575, 537.28130091522507, 537.36733552015585, 537.43031006209276, 537.8887601128514, 538.96545058296192, 539.52702038529299, 539.61893804271347, 540.81161553045479, 540.94220350736725, 552.24266288104661, 552.31117690186022, 552.43106456881242, 553.06863219802574, 553.17838074235021, 553.70361253529904, 553.8269801406791, 555.89927034124923, 558.10287675424388, 558.77677559668325, 558.94484327059024, 559.58557585427252, 560.59991689069841, 561.81976086655425, 562.03491946081897, 562.45522551490615, 565.64913146789502, 567.39777617527852, 570.49690819994066, 572.69257543312699, 573.11622397627207, 575.94061927766836, 577.90702377883281, 578.52217545036228, 578.60612773200944, 579.35973591108973, 579.42775011865865, 579.5491226950403, 580.74884542126688, 580.96943249740252, 581.26166758624879, 581.30680112892446, 581.68559556207254, 582.02752334014019, 582.16970320040639, 586.01124666764633, 587.93419021372665, 589.15221068551955, 590.71562546137955, 591.25747214563114, 593.71586898095995, 595.01029552272644, 596.21941387775655, 596.33522935336498, 597.52308610945113, 598.24527405449146, 599.35155511355526, 599.49996530326007, 599.79853429697653, 600.0754543412819, 600.39859271775322, 601.13317603630219, 601.53830969585897, 603.75001534652733, 604.23098189983409, 605.42120652489473, 606.71724635301916, 607.06280737575128, 608.05991141815593, 608.16237288846617, 608.41706535655226, 609.14642212188392, 611.87971034661678, 611.93338881694388, 612.12049926937345, 612.87801111841736, 613.81767969953978, 616.2021726656584, 616.22711316788673, 616.80460372096627, 618.09730759228717, 618.37622676070259, 619.72562633327402, 620.66419888798862, 622.10205774447365, 622.25556322929754, 623.96162077978352, 624.46437402307572, 625.45273710401193, 625.77104334786395, 626.66649181520256, 627.1169316398898, 631.02033307901149, 631.96374056896377, 632.13416901543678, 632.86408736897147, 636.10295123728201, 637.27395829120474, 637.73426016332041, 641.59524832351633, 642.98162076401525, 643.28487428032736, 643.42114044239429, 643.45662236786472, 644.26214429624997, 645.11919870939505, 646.41830334797339, 646.73410623766392, 647.06099707590488, 647.92891645174632, 651.35440370274102, 651.85567571137699, 652.01245190516431, 652.86144637414566, 653.41940127624434, 653.8266627678388, 657.59099913049033, 657.66432860559792, 657.86659088562794, 658.24636591039086, 658.89179837659481, 658.94183461644582, 659.93748053297793, 660.95466772917302, 660.99996432946455, 661.38779927218172, 662.88878628047485, 663.29748510595266, 664.74350940525551, 664.86749422178673, 669.52972577496098, 669.96383547349058, 670.14004900275052, 672.45267229430135, 673.46578642039026, 673.99531589485707, 674.58740021284586, 674.71053068535787, 674.84927871873197, 675.77511450929774, 678.02099164604431, 678.12185233610955, 680.50899792561961, 680.84799290916033, 687.37239600997736, 687.58300481001754, 687.86360769930548, 688.08225969231842, 688.65046876841814, 689.11541428041494, 689.57782838027015, 691.40952755864168, 691.45479282447332, 692.50618132782063, 692.91786143237198, 693.30628156576461, 693.44790596789994, 694.70901148542384, 696.30697721714387, 697.28637652341524, 698.55079294878487, 698.88816533459874, 699.06437589759275, 699.55491460424594, 699.59507787563507, 699.61700376032161, 700.46070981627736, 701.58044082154197, 703.22643428193965, 707.4146947470756, 708.2487492735238, 710.90002121807561, 711.57900508158616, 712.64768719059725, 713.08254095964992, 713.51684024810402, 713.82576874935057, 714.7275518076766, 715.8437686089103, 715.99278649152677, 716.59977527903447, 717.69436102197983, 717.96725879496455, 719.75874268785844, 720.74752414292493, 721.51624708594341, 722.82377871606832, 722.86047043293956, 722.97556134666638, 724.39748414126586, 726.06105270207911, 727.26735417834107, 727.65979193809392, 730.54502518563368, 732.21556860277292, 737.19785933296623, 737.51518217990179, 737.67196873580986, 737.83534949007344, 740.06784259368453, 740.73807959794829, 740.87130495056397, 743.25658581760013, 746.49340208374599, 746.52768146430958, 747.23971954641479, 748.20107680177989, 749.0731359563058, 749.89071205804225, 751.17790112244472, 751.2222110911282, 752.32253753953603, 755.23145464816071, 755.41589315316639, 755.76374429343093, 757.02098028535465, 757.4431788812783, 759.89338085099189, 760.75925332353177, 761.47672661065371, 761.50307579614719, 767.83294635679135, 769.20997845001637, 770.54705015838704, 770.74780996322204, 772.71482030559923, 774.44848589551225, 774.76968417821422, 775.13636714432369, 776.86145298057852, 777.21500758208117, 777.37669680043223, 778.09785346966726, 778.34452562283116, 779.37651178634837, 779.40546257446329, 780.06040575350153, 780.57647906556531, 781.04580882278231, 781.44040202921713, 781.57970970077781, 781.68898004559162, 781.98360495896418, 784.39837307005519, 785.20517825756349, 785.24065924211652, 785.85988252102345, 786.81838931088384, 787.709273759913, 788.43950635235672, 788.93300957469864, 789.30632962278912, 790.95221935259144, 791.17706086585736, 791.87274935348751, 793.34464556385171, 794.37669946469657, 795.00288092292055, 795.25559219641934, 796.06064004146265, 796.18483668330714, 798.81154604463393, 799.29439460651122, 799.70005001336369, 801.20383360152937, 801.82795678841933, 802.18532915735761, 806.22510151201709, 806.92184071066822, 808.25855200188107, 810.0661909470881, 811.46107651074328, 811.74970968944547, 813.55580938446633, 815.17576064714035, 816.21486296510443, 821.05466567217161, 822.3739331901844, 823.01138371320326, 823.06877746687428, 823.6862250747065, 823.92438852515829, 824.95312070119166, 825.49799046911414, 825.52488247099689, 827.07086985418232, 829.8129767736657, 830.6192020472763, 831.71712370857369, 832.35957415485029, 832.40933548488897, 832.92121274056888, 833.63592363196904, 834.85597513935875, 834.97414741467844, 835.79142256530838, 836.62217634405897, 836.80235875897836, 836.96874429511217, 838.27031292104039, 840.10280224886276, 841.84843989706974, 842.72931980097712, 847.60802840416591, 852.77279140152223, 852.91060953054932, 853.08079698356346, 854.17219080083646, 854.3667925337503, 854.48306083177272, 854.9647508589627, 856.06214195127768, 859.57587784805173, 861.29763687639263, 861.95690860408854, 863.18178183736495, 863.29926534628555, 863.80160041678141, 864.58102314454504, 865.27857037125068, 867.21837744520826, 867.66703118683074, 868.60188298876039, 870.7910975934717, 870.96915369088163, 871.10478178907965, 872.15217941619585, 872.54430934766071, 873.0797093910486, 874.7971775612084, 875.08860793700353, 876.4936432088125, 876.66287307714924, 877.04351759552765, 878.05902975959634, 878.65922693387813, 879.39925696104785, 880.102727378704, 880.87081192184166, 881.31478346206723, 881.4317131036056, 883.51106401609945, 885.00554153099586, 885.62951235840922, 886.0713775666602, 887.94400015545409, 888.66822124715429, 888.69358541146028, 889.10244261475248, 890.14346815576175, 890.88628234623911, 891.4561781165412, 891.72255735605893, 893.30797574588144, 894.59030641673246, 897.56390099404234, 898.01501963187411, 898.86425536627519, 899.61612684431293, 899.89267914546201, 903.86366724818345, 905.50269270693127, 909.63104186964199, 910.5533056540861, 915.91683512410691, 917.64606471449088, 918.09022131820473, 919.10181197766508, 919.22290277273623, 919.50364390784694, 921.64669325693865, 922.53870177238275, 925.02829150271202, 926.3187359608703, 927.25025340023046, 927.73509644799333, 927.97259655024732, 929.14302181105927, 929.88825741488586, 929.93680797046818, 930.80182032751009, 931.27119675695587, 933.09552634241334, 934.76159232642681, 934.78711432025125, 934.94531877737074, 936.3966128550976, 938.70107793198156, 938.7215942950678, 938.81465906706751, 940.30557440380687, 942.27615081930094, 942.35659261760429, 942.41847932989833, 942.69387762992176, 943.85460767446966, 946.00300244304174, 949.21649280401255, 950.17914869182539, 953.05574840758788, 953.59484817676821, 953.65895463955064, 953.82162843394383, 954.08765203400321, 954.6505389382429, 955.24076928591808, 955.42906289243342, 955.82743429063055, 956.68575808655612, 957.11583109190474, 957.38803678166619, 957.86543466674664, 958.49673398288098, 958.56681908977407, 959.24638027650144, 959.96227731812337, 961.90793137340768, 963.51401300082421, 963.67502960851527, 963.74420217705926, 964.8712274943523, 965.0360669209723, 966.99020835750753, 968.2382132596241, 968.54901040746722, 970.75637865573992, 972.42442983949365, 973.38792667073255, 974.62039052444084, 974.81929886338105, 975.13482268135169, 975.98388126825762, 977.69629765305035, 980.18475725322367, 980.72524363477589, 982.08431810209629, 982.92250971342889, 983.13635432396177, 984.69661066951312, 985.37596028578321, 987.7014697913221, 988.27719099689477, 993.03655600507409, 994.67055360743143, 996.40033499877916, 997.18811790800032, 997.61239607314326, 998.75139459886577, 999.20334985940565, 999.23783914852982, 999.29164640890644, 999.96896242135995, 1001.6937438960962]),array([41.42595316250214, 42.454110435795194, 43.346404649357453, 44.234108721852962, 45.175855467260007, 47.710245838700885, 48.382623455035073, 48.690195811342186, 49.386358307714275, 49.794406752995329, 50.759272841120485, 52.954633275125367, 54.264206972073843, 54.885487886942904, 56.868791233883968, 58.291793010666474, 58.818799796454989, 59.581447813248651, 59.846077122086477, 59.903877150963005, 61.583384747048903, 63.247263933240269, 64.54784187627881, 67.465518855752464, 67.946336805090084, 68.206356138162818, 69.33802996673451, 70.806234618158371, 72.234853167085177, 73.097759765283385, 74.418111172569667, 74.835503408149748, 75.514703033571621, 75.810999871406651, 77.19395215391431, 77.323563476293486, 77.796834928512496, 77.892758054504355, 78.271506314949136, 80.650474768464903, 82.534372483179425, 82.661502387678794, 84.474489459442708, 86.954175213337905, 88.501735246937699, 90.557271766164575, 91.994830847096594, 93.962115310481479, 94.045495184363688, 96.959291091256517, 97.695606226316102, 97.740297508982906, 98.02635910063843, 102.95282614319586, 103.59191596174564, 104.10486176990847, 105.73516180247417, 106.11224759120347, 106.22460944434334, 106.47970799781821, 107.42494390215586, 107.4715190177145, 107.57758761909422, 109.41770949109849, 111.60790812455313, 112.19781565272572, 113.99557156212026, 114.28879633516304, 115.29321007163061, 118.27408573379967, 119.1083396792593, 119.89841342518764, 121.12269581577755, 122.62772184500616, 124.07731927457441, 125.11830600851425, 125.6531490839067, 126.10131773769724, 126.20985548714896, 126.77337382045516, 128.86081498920933, 129.18948289406555, 129.41793944570571, 129.75079326778771, 130.5766387569173, 133.38304307131025, 134.83605731261306, 137.48627773410729, 138.51062911390974, 140.49572835559252, 140.58309063302676, 140.73786374041154, 141.35954358812913, 142.11819672716359, 144.03385442533065, 144.65136770754887, 145.97170678417868, 146.1837197952562, 149.37484567229293, 151.08559356068608, 153.52265780130836, 154.1181103959396, 154.47767760443082, 157.42067691041802, 157.62365510851527, 159.15601513481295, 159.66961058158836, 161.27553532510612, 161.47886546784778, 161.87579215080285, 162.2266969465588, 163.48473728014687, 163.7057307826137, 164.44994816582781, 167.91201752141146, 169.34364839885765, 169.67075316035636, 169.93381452393601, 171.89402781442945, 176.46091797917927, 178.8406474569137, 178.98928454030397, 179.5920253243396, 180.66324729768081, 180.89266410536493, 181.93308158880532, 182.00329767000378, 183.01779860761263, 183.23349394546281, 183.71685827208177, 188.39726108781238, 188.63496440578058, 189.46747335004494, 189.70815317093613, 192.58032696815366, 193.69934094306677, 193.97348371142726, 194.76154667853015, 195.68246496813734, 197.08509098965075, 198.41924224674659, 198.95805801746241, 200.67360069584655, 200.78214573836883, 202.618405500623, 204.95108625086158, 206.43717944059426, 209.63479509116024, 210.77320540731924, 211.63985970520613, 211.83624765356623, 212.41128856253485, 213.75860327756973, 216.82990871859747, 217.60725659138635, 218.27602832372733, 219.35300204618019, 219.37454943534559, 227.68993967928412, 227.86282333000696, 228.4978105821811, 229.07893468470471, 229.34605133999645, 229.55756715851413, 231.50584716710188, 231.91788805748487, 232.30428321297666, 232.9084182067372, 235.99877818594459, 237.46386007805049, 237.53533988142004, 241.57216984902033, 244.19005449928017, 246.18475118134867, 248.41785697723409, 248.84328069964391, 249.80249327219713, 250.33209898818691, 252.03746224292775, 253.77972137256012, 255.35751618692217, 256.12678355302592, 257.93942755496533, 257.97144749408864, 258.75771290471749, 260.7365445712424, 261.03359197425016, 262.1073703568776, 262.51744142580293, 265.01938340533712, 265.51632864038288, 265.77853321556114, 267.44435706102718, 271.42156786268316, 271.79551079856969, 272.13474598983578, 273.98274682169023, 276.27314402315949, 277.92208462771896, 279.30353297411943, 279.65685450243973, 281.05815987510323, 281.14327961920912, 281.17864130432127, 281.61871751530691, 281.73778841642121, 283.88328119488443, 284.29333852625638, 284.69020352382552, 285.80652040553775, 286.96138338988197, 287.00736813231771, 287.57665119629729, 288.01658405311855, 290.40629807097781, 294.93205340067442, 295.53226636630575, 296.99945162999046, 298.04623802482041, 298.59005262611356, 298.65623409067433, 301.07776029974542, 301.3158799699641, 302.01512273813472, 302.88207295754415, 304.14727788938939, 304.80904237873449, 306.99644214999614, 308.03618660701898, 308.48739491758141, 308.64389564852485, 309.12113652362859, 309.24601326250252, 309.60471659316556, 311.00179808368807, 311.32302941217415, 311.50752749264939, 311.72008608276951, 311.97466844308923, 312.39470198002158, 312.98477380157539, 315.39339628845562, 316.52111114300249, 317.12754281689979, 317.24723921443683, 317.38016709136571, 317.40674500232825, 318.64020173033708, 318.73709982695038, 320.16954827719547, 321.95820922149028, 322.0360676110547, 324.86710609954685, 325.25930516458351, 328.30634298240358, 330.17717849345303, 331.45991225954288, 332.01147361772581, 333.72597261679164, 334.88073448989473, 335.34623926195701, 335.45106956722162, 335.85083725399039, 335.93990549416031, 336.1060664380168, 336.50564901568487, 338.36291836549503, 338.5849108272086, 340.39467209048667, 340.59132077869106, 340.6706586407854, 341.24211883454643, 341.52993328404102, 342.15513398335946, 345.0102188363428, 345.78691126015542, 346.18391364560216, 347.17765759573501, 347.88908544778303, 348.86580072686797, 349.15519458151203, 349.53564221376769, 349.56371764864491, 349.9658635246426, 350.31522302611245, 350.65673540664045, 351.3526161413875, 352.21128554883416, 352.90545818850222, 353.16176828657973, 353.51131171218287, 354.97587087541541, 356.79860878784899, 359.12321285671146, 359.76206581726933, 360.85078722985344, 362.83323040893907, 362.95066205375639, 363.57206878626334, 364.54238690009498, 365.15223529840682, 365.23466704062088, 365.48982799260256, 368.1457477322694, 369.42665238512581, 369.8264081546036, 371.11427714500007, 372.06508276896068, 375.69952800510271, 376.42026124350701, 377.32482289111982, 377.95660434517407, 379.00355415326936, 380.31222848715322, 382.21632337865157, 382.38432723535516, 384.87310467627287, 384.90320505922494, 385.25294454349768, 385.75709799862079, 386.92218995101382, 387.46705488903012, 389.07415886251482, 389.27895537433176, 389.85777050918352, 390.20402593900712, 393.16338399136924, 393.63566837317069, 394.17534944697712, 394.78738665654839, 398.7806849207945, 399.18542352140025, 400.78358774837903, 400.92061461137132, 401.16555047813665, 403.68221335331054, 404.36468307985052, 404.58509364706936, 404.61168139791124, 406.29293919414977, 407.71717736445771, 407.97239530562371, 408.40348645630451, 410.2616991005109, 412.7547024195145, 412.94047815458941, 413.1422315791969, 413.44456148238856, 414.89195794271961, 415.40197478871971, 416.14754203830176, 416.29979495436191, 416.4131560847847, 417.28768528729029, 417.34820974623011, 419.19972285191147, 422.08430987156981, 423.26667931530199, 424.31646031180833, 426.65652178628528, 427.28256756433683, 428.05102560149601, 430.68160941260737, 431.93290784283164, 432.06379788985822, 433.5089168167811, 434.04470240992538, 434.13559634900031, 435.29875743504488, 435.51404846468904, 437.40726635004927, 438.58648952506513, 439.93451410013034, 441.92470852738523, 443.28487295385253, 443.66421152567654, 443.70188692792522, 444.56616365874629, 447.62563675101569, 448.8236338903294, 448.85566563854593, 449.35312603457231, 449.88618872785605, 450.60729769246768, 451.19494292989225, 451.5071709088885, 454.32498825491513, 456.3463328696464, 456.6060128709845, 457.97636020546372, 460.955646534317, 461.4789248587735, 463.62970342687788, 464.23963362679842, 466.10985066897342, 468.28923818742896, 471.75252613574997, 472.37871932163915, 472.43988919737387, 472.46532848105079, 472.5946418740109, 472.79269497218814, 473.63741617317169, 476.74991125102457, 477.79050860743286, 477.99713089269682, 478.10054414600438, 478.88444482270921, 483.81446270041374, 484.48933630792925, 484.94156245175958, 485.81596080339375, 486.86530387000363, 489.64482699223748, 491.05969398353994, 494.31345160087443, 495.51368433326604, 495.80301551789205, 495.8374348445783, 496.09997384012888, 496.74343830737553, 497.0392698247216, 498.71312117991187, 499.24290231195022, 500.33550155504457, 500.70808121559998, 502.81762062052621, 505.31621269276383, 505.57899894469034, 505.64071564828419, 506.0248788755556, 506.6555193286556, 507.91083312476809, 510.14396885298964, 510.17319903337562, 510.30077242713395, 510.33128301163572, 515.46705878985642, 518.3898910887541, 518.87923295120959, 519.45441860754943, 519.76674254342436, 520.85787977959649, 521.11192840892204, 523.45520997116171, 524.03481034985293, 524.35409159610526, 524.40991771397864, 524.6356863421513, 525.10828853621149, 526.22101004800106, 528.66676095309026, 529.4636563066972, 530.91465845945004, 531.12034118929489, 532.72489130081522, 533.03465129350525, 533.86415230070031, 534.42703644411893, 535.177216685698, 536.57842481257217, 537.50718602387929, 540.84419253594274, 541.8432058041775, 541.89566296386386, 544.16673101970468, 544.87597050904969, 546.43922255917403, 546.90967951990012, 548.30257426690241, 548.4604407227813, 548.60272165052379, 549.69142541597455, 550.01784465258174, 550.71856211911097, 552.83361857830619, 553.2763030452054, 553.7805769843693, 554.99954265348231, 555.2254329438299, 558.27365212762049, 559.34126100573792, 560.00414727695943, 560.28265065771461, 561.55789714571665, 563.9278859109404, 565.13052050394924, 565.32826925257723, 566.95836270047982, 566.98937765219819, 568.43875543676938, 570.06559611043735, 570.4956599288181, 570.92637663772553, 572.61312136692186, 573.70981120779322, 574.42636081644935, 574.79247163896355, 575.6326103735762, 575.73143939547322, 575.93397096200897, 576.88496746858732, 577.62055741340112, 578.45601497516122, 579.16480245143703, 579.66672855802551, 580.58443818397302, 582.2812747640919, 584.27756829562429, 584.35601223811329, 586.03226882228603, 587.47129761319013, 588.45497048855077, 592.17235361997757, 592.68121443182622, 593.06828642805726, 594.8113782836266, 596.86418260152095, 598.15078540448008, 598.70657671648678, 599.14268669390549, 599.31935245251327, 599.63061521492352, 601.76398016046653, 602.71923957365641, 603.45709952263928, 603.61812899946301, 604.31617856957064, 605.06268676677803, 605.19502072937007, 605.97537694439302, 606.13475364993656, 606.77746829667115, 607.72121625115744, 608.00420677174804, 608.14026232373476, 608.34222870438134, 610.54100078534464, 610.81088464523714, 610.95415612187935, 611.36557788520111, 613.41818143450894, 617.67876989695344, 618.39063899762766, 618.46691946154374, 619.82093585966186, 620.57798128214085, 621.95119404572461, 624.40251827222744, 625.1050273545037, 625.8757039830549, 625.99796533779374, 628.82976914750816, 629.27806444475834, 629.66968233613022, 629.75962827537023, 631.19144039383434, 631.67775048066665, 632.11760834814913, 632.60712253747261, 633.19852113972672, 633.75390878768371, 634.40954115541274, 634.92485210853897, 636.21641430325485, 637.80687180108748, 637.92346477362662, 639.39334899628977, 639.59301141652907, 640.15219858811975, 641.37977605756907, 642.59058866015209, 643.39224729190903, 646.64833605596857, 647.05521798669281, 647.65713237532771, 647.87616478562325, 648.23840829109383, 648.59126563992481, 648.95726334823587, 650.77708243981522, 651.21337840893102, 651.75118729418955, 652.09877120784847, 653.0660513309515, 653.20635256094693, 654.31238945183293, 654.58298293918631, 658.23740774680743, 658.47718048459024, 660.51699431391557, 661.04979046435642, 661.94028665498865, 663.50256598965268, 664.71872276200816, 666.89145972612994, 666.91517704905766, 667.38245987819516, 667.79181235922169, 668.27053367071642, 668.71505158821094, 670.00901944567568, 672.13909642297131, 673.80472132231159, 673.87509153918154, 674.52250208604005, 674.80405348514046, 674.83935448331647, 675.5984240226752, 680.9454645248195, 681.88661093529061, 682.26262758485007, 682.2974003877606, 682.33529888896453, 684.63987687471149, 685.66403153941644, 686.02706646291426, 686.09147968827062, 689.07292510720276, 690.22943007710569, 691.50812614317147, 691.92188176090292, 692.30986078515514, 695.28938058558424, 695.64557246364143, 696.33810137175783, 699.42507944278111, 701.92202569115148, 703.77162892919785, 705.0848370760001, 706.44718938218682, 706.69178301486147, 706.82241221245988, 707.08332351524462, 707.60772378051274, 708.94231687136175, 709.19448089067339, 712.35287296304091, 713.5078635044116, 713.74888501008024, 714.76997006753697, 715.96110598641019, 716.36498312782885, 716.70856517654363, 716.87133956834361, 717.24527933510637, 719.51740133989779, 721.29333967725449, 721.74031418637969, 722.16536256193615, 724.71185836301913, 725.53512070357431, 725.87673655888204, 725.9776814356652, 729.83468059593883, 730.28100577543535, 732.96651419360489, 734.17529871330078, 734.38343601088479, 735.1592103676636, 736.20112398730373, 736.78413559394085, 738.29847852857222, 740.81993369490272, 742.4527923633085, 743.55101315366221, 743.66188106859101, 743.85585547650692, 745.35431271823052, 746.58197857059781, 746.74585347231937, 746.8890456514963, 750.13495150373046, 750.17190509591956, 751.35390458112806, 753.66262242132268, 753.87960216084957, 754.47961382544315, 757.78682203063659, 757.94518637883675, 758.72578540156871, 759.09318430644998, 759.37706902210084, 759.95598661237909, 762.18131536455246, 765.99663583616905, 769.34980989025757, 770.1328526274732, 770.28435393779637, 773.84287704958422, 774.82960364484472, 776.04370632369239, 778.50655741844673, 780.17300573837213, 780.42110295638827, 783.32930381414963, 785.73912077982959, 786.89264155985029, 789.33174388250927, 789.56520494826657, 795.11868950836606, 795.92350726971404, 796.52232041353261, 796.95549511743513, 798.21230858288095, 799.11080317494873, 799.21420735322704, 799.2721334069372, 799.85460627530199, 801.94118538232283, 803.50360812988015, 804.75241865835085, 805.70795252295545, 805.97365997229838, 808.46234456838101, 808.5280003577501, 809.18256698396931, 809.37491510608163, 809.8571122795737, 811.61204833789282, 813.52212245315468, 814.44775168719093, 814.89482559272449, 815.80567181221227, 817.16020093917223, 817.63273877340703, 817.9382513916388, 818.04017029749571, 818.12741698419472, 818.7316223201409, 820.72208583371457, 821.82871269525674, 821.99730749418461, 822.12129670957813, 822.95744731700336, 823.76196090475673, 824.48942408427865, 825.20937502245749, 825.26904664615665, 826.68260504379248, 827.01482131641978, 827.37715762355265, 827.91739071541156, 828.15335955560874, 828.39829966202387, 829.19778758042446, 830.21837138137175, 832.0036667185351, 834.69008227418465, 835.52485755967302, 835.88818425759428, 836.25150179871309, 837.29316095021261, 837.66858108800432, 838.32854355241102, 838.34926150300248, 838.57830282190332, 838.68934146185927, 838.75966933407187, 839.07602803050452, 841.26139756575208, 843.10229077586996, 849.49785090752096, 849.71882529508071, 852.16090882837318, 852.73398082224617, 853.23987637052301, 854.14203853057575, 854.30375831730373, 854.56165664579726, 856.21868368547223, 856.42814300761984, 857.40159609140096, 860.04707893662646, 860.57355742373545, 861.4851190120138, 861.77018844852012, 864.13101328760911, 864.16226868152921, 866.58591204489653, 867.1504202004603, 869.26994357538899, 870.08566589232146, 872.03053813276404, 872.44802250662167, 872.74057563217934, 873.3459665084863, 873.75915017418379, 874.76327533556343, 879.54316164651777, 880.89540518676279, 881.66967921925777, 884.35690249551976, 884.42694163645069, 885.53107398504517, 885.81377322588025, 886.21917819122666, 886.35423886390231, 887.07080960066367, 887.30391483469793, 887.58162710838451, 887.70834912808789, 887.98869400995636, 888.4541139153315, 890.46089324445518, 890.73069320996103, 890.95126786398896, 891.85407084630071, 892.06548228698568, 895.18795578962374, 895.32624222286893, 896.6867162065131, 898.00408060437394, 903.60160836071202, 905.06580544614178, 905.65380979633312, 905.86849842225206, 907.95590026375817, 908.32760195878268, 908.80858883424503, 910.12864856066074, 910.61123328446752, 910.96745401035014, 912.00674475979463, 914.00966211601747, 914.49225088954029, 915.67843035496401, 915.94385444207489, 916.89028498693233, 917.21575572756035, 918.33865828858802, 920.40033430619258, 920.43718578371318, 921.16281490200492, 922.80586389938594, 923.14529884756098, 923.20650377581751, 925.02818416905166, 927.50780596320737, 927.95915060401398, 930.311141514106, 930.56898000180433, 930.7282263093731, 931.20408238228845, 931.98265896857083, 932.41054731681515, 933.74857686662142, 935.17144393790988, 935.43377977444834, 935.6600769515702, 936.52643965905406, 936.60892913573207, 937.53773532044943, 938.53610962867083, 939.19669200921248, 943.42136326271975, 943.57140300124536, 944.02515898409888, 944.54010340609511, 944.77860823546894, 945.62832429552589, 949.55184938961906, 950.31026936976389, 951.12632330114729, 951.41443298671231, 953.50797333009814, 953.85660575523286, 955.80032073089046, 956.27421144768402, 956.99684396782766, 959.02601679522161, 960.8603684902929, 961.03604222236982, 961.0925871420784, 961.34207114952449, 961.48806872773957, 964.03943678976589, 965.91726487615495, 966.1755413639379, 966.52353245982658, 966.83452388790977, 968.36857238446623, 968.55690345970856, 969.16224193944674, 969.61530251465365, 971.77865670089238, 972.50185179384266, 975.59372089350325, 976.36949006759801, 977.68535353615528, 977.90053457150145, 978.23347691266679, 978.35557856787057, 978.55419301758604, 978.83165956014886, 979.25387116633203, 979.47206291768316, 980.1601260019595, 981.7931885548885, 982.59802656408397, 983.79357552547992, 986.2340513497835, 986.26695456324842, 986.51449143733271, 986.98717852619313, 987.9663030203717, 988.78168814638229, 989.87780764476531, 991.1924050242302, 991.28972033464163, 991.35018056732747, 991.69472500996778, 992.00157913166277, 992.21613660931894, 993.88806006340383, 998.08282067432833, 998.18370829485355, 998.47205513424512, 999.71846260251607, 1000.5261321933002]),array([89.914971820742323, 90.909510868043199, 93.665826590107969, 95.985281722031232, 96.306386374511305, 98.298569079206857, 98.364381625410672, 99.290423603880413, 99.557074416718805, 100.69227654151075, 103.60626547341698, 103.86977992230425, 104.44149753355016, 108.93416026332682, 109.42762402990938, 109.81391098719435, 111.45913824930112, 112.25167564195634, 112.3394071851761, 113.32671256192955, 113.68172308496018, 114.15473375099837, 114.46697608214831, 114.5763484736425, 114.66534461852176, 115.94215726432667, 116.41683844878499, 116.90854517320206, 117.60047563921191, 123.64079961723684, 125.75836683353126, 126.19812203476727, 126.43591085146227, 127.74277208084607, 127.91054064080204, 129.62365384670514, 129.86455461594102, 132.7437398236668, 132.77829558706205, 137.20452604347045, 137.24570230395224, 137.46652220478546, 138.85171371335312, 140.06763754171919, 140.13500189131292, 142.43426636459395, 142.77260527472336, 143.80638318804324, 143.87496621259055, 145.32025899368074, 145.97199674178478, 147.23043789414095, 148.25409967353261, 151.60650751831494, 152.32806283822532, 152.81474982290015, 154.90377329721474, 156.22435975564426, 159.63444574114743, 160.86570847029628, 161.46394698673711, 162.09034454699011, 163.20874114735977, 164.33220813854138, 164.74546630014564, 165.82909140655667, 165.96518418099186, 166.94888174584386, 167.33240012278353, 170.80942039861065, 171.18334973556298, 172.48201360622764, 172.88446153971452, 175.9083625675014, 176.04517543453275, 176.67452814543424, 178.70890355632906, 179.0855211763006, 181.49084498453436, 183.7540729565724, 184.51044173629549, 184.68408847533357, 186.31640574922321, 187.4584472907795, 188.24904855834225, 189.09633719995745, 189.76690998319023, 189.91072271141726, 190.00517172110401, 191.79927031097918, 191.8672078134025, 192.57821903054881, 194.10195661390458, 195.41511439041849, 195.78728824806248, 199.32182172751436, 200.00248211668082, 200.39067694955403, 201.68160458417211, 201.79800909383775, 202.81038657000363, 205.31063987796901, 205.77559155287165, 206.97659993544218, 208.15324960672561, 208.37756996844811, 208.63720987689246, 208.74211332669756, 209.29002890400213, 209.65085314792464, 210.03599436362012, 210.78449027921488, 210.9551524810482, 211.78810084188936, 213.32869445606229, 213.46772762304641, 215.83203610230859, 216.64866587569054, 216.80025472692, 217.91796332977231, 219.40842608046171, 219.91884258446257, 220.47552849810856, 220.62161753546795, 221.19924273181277, 222.70931716766316, 223.19966388126193, 223.54656375569485, 223.7721389705828, 224.28055110420033, 226.41796842986176, 227.91153005602189, 228.70824236199229, 229.5961971001469, 229.87308530442303, 230.16199409470116, 232.39542806590683, 234.97570788090977, 236.73726754577743, 237.44879887763409, 238.2608598836307, 238.86987739838577, 238.92216560409841, 240.64528966492719, 240.78720238318016, 241.72511990822596, 241.88072158735466, 243.18445338779694, 246.12984467599009, 246.41880032118962, 248.75186027906679, 249.23072187083895, 249.51318772398437, 249.54275801195141, 251.10232126710579, 251.21819667255781, 251.3795651551502, 251.47291477547157, 251.55847264502665, 254.05576873511248, 254.10354807441283, 254.15446640944353, 255.72235230775149, 256.79042976151652, 257.56290375286943, 258.53726687236622, 258.66788789092493, 260.04085217833574, 260.28106530120795, 262.94349945624197, 265.01133709906156, 266.20659005284216, 266.46706248970958, 268.16093474251892, 268.91533293919997, 269.65999824908556, 269.86298754142888, 271.22742116430538, 272.14286507774557, 272.18081507620252, 272.9071429948159, 273.6955939752994, 273.97612547033089, 274.11337948689606, 275.06965841913723, 275.52620383147041, 276.44110196913437, 276.92759044799925, 279.62346610277694, 279.99285696843179, 281.65446060709849, 284.48326925437112, 286.03979277027901, 286.31973903163299, 288.01688257835855, 288.24582890802577, 289.82799267029537, 290.39829618668, 292.56968059507278, 293.11452690861199, 294.30080458636411, 295.28394529440772, 295.4548396123289, 295.83242817076388, 298.75219027326978, 299.34169959666576, 299.66994333000179, 299.97194264444204, 300.13971583140255, 300.68856451859693, 301.09027477483517, 301.93522306307284, 302.79389546931725, 302.9818971166398, 303.70493113360936, 304.67499783322188, 304.74897235230173, 304.87437469398384, 305.42723487196076, 306.23803070579265, 307.60582516095496, 307.81490714899564, 310.18971082272554, 310.62857503150366, 311.09377497597046, 311.54726176230037, 311.73173243212051, 311.78407292330303, 311.89145765936894, 312.31235296888849, 312.37441951419208, 312.64970928585575, 314.11211953932127, 315.51246361412899, 315.62918326428326, 316.43659608757446, 318.5786327811652, 319.57844420122137, 320.32214304393796, 322.90072843063973, 324.41523493952309, 324.55237595017513, 325.49449466487664, 325.72427432776124, 326.50883246717063, 330.83664597802334, 331.2473367824777, 331.44431577982311, 332.45421765590737, 332.91682067448022, 333.03191944614332, 335.67056714727806, 336.57038444217869, 337.61004570688652, 337.94115317688454, 338.62275601920072, 340.39164682350253, 340.75077468451013, 341.90813243028765, 342.75347062752951, 344.32816216768578, 345.49516934707401, 346.51939651885283, 348.27015070145444, 350.00365209836889, 350.51044420209467, 350.54910586377321, 351.48352432191956, 352.32726185826306, 352.41087945106608, 352.71321737737264, 353.56768216272519, 354.12822414751827, 356.96007056815739, 359.64725005911777, 360.79641238197274, 361.28990925773661, 361.62319914268028, 363.68584189361917, 364.77260163422255, 364.83660239246331, 365.37539255642213, 367.26409115291756, 367.6814372922708, 368.33991090017685, 368.81290441391911, 368.88843452484122, 370.0263916489202, 370.16571116367578, 371.93018789948775, 373.65031460194075, 373.67925347553813, 376.70909109996853, 376.89555925893569, 379.655117526043, 380.83282094147307, 380.86179330209035, 381.3192807036404, 381.88087533832368, 382.43544018713771, 382.64881118990377, 382.70346267616412, 385.89162013563231, 387.84025195044654, 388.61098399597773, 390.19876238837861, 390.39348476312546, 390.61833098700254, 393.17242152310985, 394.2149896034428, 394.46786680241291, 395.52642491587528, 396.94210947676942, 397.56529110355757, 397.86850150263729, 398.43757900380223, 399.1212845285483, 400.44234041303088, 402.11490002196285, 402.28940505832105, 402.33213744849161, 403.81101752568799, 405.49117499991183, 406.47633438119908, 408.39026571423574, 408.41215830116744, 408.44453968490893, 408.95902355036765, 412.32034738867492, 413.21794686516535, 413.57643070855596, 414.93472101234318, 415.16062805187102, 416.0147222388826, 417.89479560094958, 418.24555554524699, 418.76913568995525, 419.91322992609457, 422.94243839616422, 424.32074038066133, 425.44249561240639, 426.52899844144895, 427.24383481933302, 427.67587824166151, 429.05138588955663, 429.12361440158662, 430.37639150303141, 430.40358939334874, 430.53034246499618, 430.57852582067045, 431.4482504111042, 431.97709827269279, 433.9300931687776, 434.81348055418755, 437.40306151080898, 438.1122293318503, 441.11876388239602, 441.41970949858643, 442.92703395826493, 444.10040097137721, 447.99842148068319, 449.59727380593171, 449.66163972539044, 450.05455451753295, 451.05637311663423, 451.16943819809433, 451.28721731263062, 454.23258087582855, 455.58888207620026, 455.85293787466725, 456.72194179456983, 459.76995928254695, 460.15658432798011, 461.9780707046765, 463.26844446284809, 463.71321166101194, 463.98792082623794, 465.0863343678148, 467.52659229007497, 467.65888453246816, 467.96173974698581, 468.17987822224177, 469.61354438003031, 470.85147876495535, 471.352702038703, 473.32069213397796, 478.53444722549398, 478.57767375757658, 480.58902138772709, 481.79328810288922, 482.54891565166616, 483.08588754222757, 483.64246906622606, 484.07509140494352, 484.60786376043126, 486.68077128060207, 488.58637316505377, 491.57601306759949, 492.3888018142423, 497.55251842329562, 497.58208219039051, 497.61475822481884, 498.4168301675511, 500.07303750702465, 500.83221388734654, 502.23004723254161, 502.43399452085703, 503.04982819702667, 503.25245142488785, 503.57940245420247, 503.78924389690457, 505.73961942637067, 506.5354833697163, 506.60814142274222, 506.82718608801508, 509.4501986396582, 509.55119610920815, 513.59396528143327, 513.67122699976153, 515.14204671322125, 516.5935601950207, 518.14544874586215, 519.73745949965314, 522.22461807014554, 522.35290013370422, 526.94252862587916, 527.02759729064269, 528.52183845650018, 529.7518597238103, 530.24359956694389, 531.26470699949641, 532.72131783016073, 533.79362169875685, 536.39131476638056, 536.60322263478429, 537.33537100475371, 537.93976012442147, 538.37459170212514, 539.74826281038202, 539.90947109516446, 541.43487552626209, 541.67263709688109, 541.69793132131986, 542.11347678480297, 542.62148246993229, 542.76982019832542, 543.26344058244945, 544.40425181290993, 549.74672649261049, 549.81869089311374, 550.84527988554714, 552.47580687268805, 554.90332754390272, 555.46834782241251, 556.27218916723177, 556.44338902956918, 558.6474000968941, 559.35717715274473, 561.62004575962044, 562.18237713979192, 563.60821901636234, 563.73888641919905, 564.93480470698103, 565.7166741488345, 567.41027352352046, 568.29654078182534, 570.43808844086277, 571.925955100181, 573.01151509526483, 573.58753956667294, 573.95842881719284, 575.3178894741726, 576.49961424527771, 577.197494893883, 577.98182891281692, 578.10547755294726, 578.47754478144236, 578.56770569291689, 578.84781658808276, 580.48173326246149, 582.20235327036983, 583.33166507145575, 583.89213306209354, 583.96790876437262, 586.58892606174379, 587.40642528554827, 588.33103601914354, 588.64141470735433, 589.33831181018127, 589.60937659270883, 590.60392909010648, 591.58407209263873, 591.96905873693061, 592.36377528024821, 593.44060262042035, 593.48726508898153, 593.74254562259807, 594.39982113198369, 594.86560608843126, 594.90977987855206, 596.59254221504852, 596.7484516079387, 597.09878262907455, 598.67322242972239, 599.19785726165594, 600.15288403846216, 601.62779066766689, 602.14663854470245, 602.25469381496703, 603.07661335317971, 603.28513943115797, 604.6534219166216, 604.82149238050658, 607.30399087413343, 607.74034152591946, 608.4824097754572, 609.13835966384056, 609.43431794506773, 610.94107479890374, 612.36947369181735, 613.93273466721473, 614.03237715851822, 616.26551323967362, 616.4488225976728, 617.96423770200909, 621.56213428687363, 621.79414124242703, 622.05073410379248, 624.98148110946511, 627.04342258932218, 627.09259532239287, 628.00119258345114, 628.67171467674382, 629.15406748486157, 629.73611837893861, 629.88197105849872, 629.92450955622405, 631.20631504806011, 631.54660658579758, 633.54751735147352, 634.53393201062113, 635.13395358783237, 635.90115431291997, 637.57539803308839, 640.81269638596109, 641.09037202407421, 641.34385254401536, 642.68735707712779, 643.2183422963443, 644.62816082246911, 645.01424977957004, 646.40160195391741, 649.0193131912107, 650.87088755295429, 651.43119495204007, 651.50772416695077, 654.3502798801577, 654.67193562127409, 654.9792227666893, 655.04911308309045, 655.38638325744967, 656.86273260828352, 656.99629684227273, 658.91336559299509, 659.68595962969312, 660.81837871420134, 661.93244417844221, 662.84035749687769, 663.79523241103254, 664.98791068943342, 665.16576880430216, 665.49539961050687, 666.7488198496842, 666.91896876819101, 668.05097151440646, 668.16823538981134, 670.38076348996617, 675.83841954900436, 680.69033618805679, 681.22148802976665, 681.53429614661195, 681.59396864759151, 684.37481362006611, 687.57266879636506, 688.29088367732322, 688.85111350335831, 690.06472069692154, 690.22701073122437, 690.65496254594609, 691.13324959825468, 691.5978487370769, 692.32133142877615, 693.1522602652002, 693.3947240710379, 696.379570590085, 698.7793266841885, 700.94898881502354, 702.23752184082889, 702.65337973881537, 703.51762925683272, 703.93383478489216, 704.82144316809308, 705.92757361591168, 707.90680536760669, 708.77698645400937, 709.13819644324155, 711.18254177857102, 711.61635675567538, 711.74207088786136, 712.35381255865423, 713.0262312103664, 713.23845522236229, 713.43807548916868, 715.42660366200914, 715.81023172046469, 716.1692346415258, 716.30896180068089, 716.92497612182365, 717.48836568969728, 719.21545392752364, 719.9240706828333, 721.26764126236662, 721.59353215566978, 722.19303007546205, 722.36916311596099, 725.67916545744743, 726.61889917998747, 728.42049876370243, 728.84802533405559, 728.87065882334377, 729.8814905614197, 730.13997215755296, 730.49650527401275, 731.09761513033914, 731.26852623038678, 731.50857725143476, 732.02399611601334, 734.84903144051884, 734.90043961287142, 734.97021645720122, 735.16036638579487, 736.05439421548181, 736.248751658115, 736.61883247255707, 737.40907481698503, 737.93138307618312, 738.67913898266158, 738.75034189446455, 738.86177883110599, 739.01629061266624, 740.21825106108599, 743.42110963397113, 744.42710229533031, 744.70754495278004, 744.73619627108974, 745.27970235252053, 746.31822798933285, 747.29567621093122, 748.80275666090574, 749.23770508470488, 749.63143120025325, 750.43009133045837, 750.9064705421107, 751.19612442997288, 752.77612558574765, 752.84571625452054, 752.88389546877136, 754.23746935103611, 754.35232116855127, 756.47945583046976, 758.51622557301198, 760.20987212042246, 760.48944103656618, 761.77314729297541, 762.13655290418671, 762.3883723241089, 765.4479408673742, 766.00735485466021, 769.5091068522371, 770.07560777872413, 771.83252039908416, 774.6233073475421, 774.67489804308559, 775.19474595387624, 775.56684462848489, 777.57333332201665, 778.01388238100503, 778.26811616947577, 779.77276177321835, 781.56798823368274, 781.74859852383941, 782.32154364080191, 783.75009326550958, 786.78837529886209, 786.8681846422412, 787.92738602545148, 789.65951981874412, 789.94334084001457, 790.1509761588236, 791.93416764716608, 793.24956247239618, 795.00580527318596, 795.49725751737378, 800.13179302360538, 801.62890898996591, 802.57315552276805, 804.23549200536127, 804.78999173601358, 805.41680427917026, 806.51888200330779, 807.35494864637326, 808.05974747506161, 808.78511899290913, 810.15406330395513, 811.083075842683, 811.18457484996054, 812.7278172241837, 813.04780349624059, 814.58181624553936, 815.25423217798334, 815.72426879340856, 819.5575824931326, 821.96855420729071, 824.19459532536598, 824.5356189275941, 825.38589033891515, 826.3121704276399, 834.99134543146749, 835.1089098417051, 836.6298909474815, 837.62570377934946, 838.51313629218669, 842.49132144811358, 843.17450402542374, 844.11337835102688, 844.69633899479993, 845.99320146765001, 846.04359045366277, 846.36750334131648, 846.43644765135787, 847.80935879177287, 848.1043983879423, 849.22072132557082, 849.63584342699698, 853.20250581720722, 853.50132599430174, 856.35260666175543, 856.94302417760616, 857.2121423365769, 858.43421506326263, 861.53859759743386, 863.04006452482895, 863.63758152250261, 864.33326261269485, 865.25648967976451, 866.66040485988776, 868.08091595418432, 868.78625927866347, 869.22193377921144, 870.07477521600015, 870.15768513638227, 870.89524765650913, 871.17397586749405, 873.35184815518062, 875.1317739607847, 875.79797509908394, 876.0972055218557, 876.79855985122026, 877.63095447882085, 877.8809487581143, 879.40652325856183, 880.88180398537247, 881.65070412242983, 883.1617552940578, 884.86566034297107, 887.29322529350361, 887.87793427327153, 888.26410824706397, 888.39724105660935, 888.51464769261202, 889.79216738136518, 890.26083548276927, 891.2326802244479, 893.15299352834927, 893.41562554191876, 894.32270874585197, 894.34983082827091, 895.3370611540962, 895.42022452161939, 895.67348753454917, 897.73045833269032, 897.89039578758513, 898.2967364418879, 898.47706485425886, 898.87964891655633, 899.05467984181394, 899.40812262856798, 900.67124529136026, 901.92978057016103, 902.64369746236207, 908.42667875850702, 909.02461851986311, 909.47043738008563, 909.90366462764553, 910.17248299650237, 910.22038597400376, 911.23160090331305, 911.36741039710307, 913.5366470071084, 913.78053975182252, 913.90014169968902, 914.7121643411698, 915.5865146274632, 916.80170484455789, 917.53993420502093, 920.01105671882624, 920.22805354362436, 920.64279709086827, 921.55283998984282, 926.53174381056147, 926.56840316422449, 927.39178538599378, 927.67890557815838, 927.95392195572504, 929.37712553306835, 929.52922736100368, 929.84033678086973, 930.9790152493789, 931.69151870003225, 933.33523128764682, 933.70846805424549, 934.39638065430984, 934.62962025575439, 935.05441060927672, 937.63209278057593, 938.35213863116996, 939.12068277858555, 939.71958060351744, 942.19770185206255, 942.31931302144415, 942.74349553526508, 944.47825693843834, 945.70117445475921, 945.82271571653484, 946.71739484209945, 946.99085045690367, 947.36374599674593, 949.12073944670635, 949.46181002048172, 953.09183171517043, 955.14263737261535, 955.4529517036591, 957.01132505805288, 957.94949853164985, 958.04079303798903, 958.1692554393137, 959.18704973554611, 959.56856371035349, 959.9939449210691, 960.33175121762838, 960.71236365451909, 961.05194085319397, 963.5026190776897, 964.63963627952194, 965.38018541437452, 965.61677137862796, 966.25829123604592, 967.0089160931343, 967.19396705754571, 967.34654460791512, 967.36816244744421, 967.97531522096563, 968.43655408588131, 968.61622151680035, 969.13798949387308, 970.06378480574915, 971.15978419763269, 971.81021684587722, 972.19484527083682, 972.43037747350752, 973.00229506667961, 973.83763366142136, 975.07730426229682, 975.46014854415262, 975.51580084883824, 975.91400926981214, 976.96087964591777, 977.72490623988983, 978.47614192060985, 979.35245401455813, 979.97254340340646, 980.59513265362864, 981.30513240400091, 981.61857673742634, 982.28157772281384, 983.54169117638082, 983.77687764263953, 986.93437440058165, 987.03430077148414, 989.57540755141247, 989.86788632805633, 992.00041612732753, 993.74666358565003, 994.38337641743988, 994.96749614506393, 995.61150581623315, 995.63747768045846, 997.51034720213261, 998.5986950798133, 998.81342534262296, 999.19843363754012, 999.31670682664503, 999.43090973903816, 1000.420915166108]),array([30.721170687178301, 31.819384091906745, 32.045873962717579, 33.289289737145126, 37.638218068139501, 37.811835388293062, 38.699273855436772, 39.366186653510198, 40.43822616213712, 41.398125023804305, 42.682610498561665, 43.917936932624258, 46.239601044261661, 46.607762714975735, 47.575966307105908, 48.172046001671696, 48.228678601503553, 49.092003200160626, 49.804687032874718, 52.435197106492026, 52.457794352553343, 53.650592904029395, 53.960534430265305, 55.153597686570691, 57.310084421701369, 59.953491590020079, 60.784836712941861, 62.572314482910322, 62.635795920560192, 63.328587055713584, 63.971257659325197, 64.731027551531312, 67.815634279809103, 68.939215982349239, 69.844087974025555, 71.893461006635192, 72.236250438632169, 73.187212734388822, 74.059747931817455, 74.305491734812122, 75.622786128371956, 76.256489187778755, 79.902902043182024, 80.242504996260635, 81.04740018738714, 81.259100345249976, 83.076549397572549, 83.345256171032759, 86.017642902678816, 86.402346636401887, 86.78863857378245, 89.567177566517231, 90.156509235883277, 90.508230798283506, 91.025081279945184, 92.94038659772238, 98.594891496833284, 98.6157926691114, 98.838419196134254, 99.714986704629851, 100.75994274648794, 101.14469773785265, 101.83781808244801, 102.00527087127867, 102.54121282283739, 104.31674317796083, 104.98279238637511, 106.0850394471753, 106.45636141623488, 107.12362024305641, 107.19603303554014, 107.76323779007333, 108.5207141936625, 110.32924098767199, 111.12976452933233, 111.82564875730891, 112.54630905461146, 112.65456704934489, 112.81935361716579, 116.14732530631839, 118.3296728993034, 118.60749911513976, 119.19265458801438, 119.7148104312685, 120.59466438217342, 120.64002108796322, 122.31728036304555, 122.5731442142083, 123.50107750405488, 125.03766436809327, 126.403519529967, 126.56195086028404, 126.58975562202539, 127.51887103226339, 128.25060212867393, 128.81672105177071, 129.22896530169749, 129.66422579660025, 129.92114539220475, 131.23817594769946, 131.32342982616404, 133.69456722936485, 133.90190096148751, 134.05862551905366, 135.68583387092903, 136.50395745377349, 137.29097816025691, 138.23236185075282, 141.51261109556077, 141.59288978698822, 144.23822505536492, 144.56295922649511, 145.44372846771893, 152.15437669947423, 152.66561493705521, 153.70318937898429, 157.80199185138218, 158.29956487281285, 158.91405125518327, 159.7912392740671, 160.35108973756945, 161.42718979258171, 162.08332387181991, 165.25906473675218, 167.16401533745287, 167.81971545881095, 167.95247444911783, 168.15637542493334, 170.57684337286432, 171.6885096620943, 174.55175122431447, 175.25596920744221, 175.77174895441118, 176.23737929203574, 176.53120350931451, 176.66692870400971, 177.02715737268173, 177.40125411060163, 180.34351309165322, 181.17001010223694, 181.24647709497583, 182.16498909500709, 182.85602386915826, 184.15637809736495, 185.41929874606086, 185.81847662562635, 186.52972574292019, 186.93417317557578, 189.19186111836385, 190.86411331849155, 192.11964474093131, 192.31368558469023, 193.3391190720337, 193.67141541699945, 193.72750383936278, 194.86448417196837, 195.73984419872724, 196.75819430982784, 196.95270722904422, 198.63128984204394, 198.95937296134838, 199.66330624619522, 200.12670125144231, 201.11679944208663, 201.49429144120592, 202.11378299317076, 202.29854689918946, 203.45774665243039, 204.0668025027073, 205.19014087555178, 205.31459278980969, 205.72575895129694, 205.97566348997574, 207.38849136849024, 207.71609643568266, 209.40420427831938, 212.67968606880422, 213.04858175240051, 213.99788387018657, 216.9121605944614, 217.88719244265872, 217.99543360033906, 221.10020515555564, 221.24530759553244, 221.9426014252935, 223.0570028919706, 223.54926734494342, 224.33655211486962, 224.4590851375392, 225.89558393915647, 226.60749599220188, 226.99492436754548, 227.66305209850898, 228.22048184600283, 229.85744276037113, 230.15405997067046, 230.40128352571639, 230.69834049992357, 236.77958596546611, 236.83675451482645, 236.95248256785405, 237.81389974033061, 238.25295015763444, 239.02300456725416, 240.544796968166, 241.38212951588721, 244.52249582824379, 244.73595305987052, 244.95421085157656, 245.48920053570322, 245.95767976509762, 246.09462640298298, 246.14331429751638, 247.28595519563092, 247.82995579900026, 251.13536298128912, 255.29803961662176, 256.00510388528221, 256.12933230663185, 257.33473979771321, 260.1857730049278, 261.22795997421315, 262.01351279267902, 262.27251180674551, 264.10062872527914, 265.61729707235747, 266.34763318355203, 266.56806058433438, 266.81275211478783, 267.19845951816728, 268.18247616966897, 269.25070628093846, 270.1802618563384, 270.20656083698566, 270.47246846129804, 272.10268006850595, 272.52484617794028, 272.68868215279997, 274.79028789622367, 275.45978471789425, 276.24169755015077, 276.51386856446584, 277.08563915382501, 280.81876273675016, 280.90565751332525, 284.54363634268196, 285.66775262370101, 286.30842427740299, 286.63226311907414, 287.53978935375807, 288.50779657430883, 288.70936138352704, 293.01007831344958, 293.47158501251971, 293.80534094337708, 294.08793849043053, 294.9728555927984, 295.60238326170946, 296.25709386293403, 296.3022696865205, 296.7993702635747, 299.16032224003891, 299.89346950865195, 301.31697520221138, 301.67813191493161, 305.1074393998029, 305.23188659668563, 306.58456760744639, 308.5927315676372, 309.19853967297769, 310.07901504993958, 310.32214462857365, 311.0362908258918, 311.2599120400925, 311.31863405467107, 311.85628946512571, 312.61194025756242, 312.87949454620349, 313.47600964984917, 313.64390630670533, 314.08108615027442, 316.35800549414711, 317.56698138703894, 318.06696982680847, 318.18335577486999, 320.14139690977834, 321.96695198163451, 322.39533851516171, 322.72043681657703, 325.81267292935553, 328.39579830425697, 329.16937155032633, 329.41150075503361, 330.22467502393874, 330.6975588323017, 331.05035848183581, 331.90762206992855, 332.25555269604911, 336.84320992817709, 339.06186281183085, 339.55445797331231, 340.46209614281867, 340.96823247377353, 341.71605892717099, 342.14304586889995, 342.8411151590758, 342.94988860124073, 343.36778360181739, 343.88749225554227, 345.0818440496609, 347.44939078916883, 348.45155550723916, 350.05896359400651, 350.37612424519841, 355.00160751779492, 356.42968272341454, 356.46744488487735, 356.59502910017341, 357.11250626697733, 357.54197495453855, 358.17780754245911, 358.24753561386876, 358.32517650036357, 360.38457907152326, 360.71362252764158, 361.97899238653531, 365.56863075519351, 367.06229423473906, 367.34707088246063, 367.65309071954727, 369.78483733477009, 371.46413330672556, 372.15414437140322, 372.4862390117982, 372.83667642784218, 373.36981243412799, 376.12683453818073, 378.01780784485294, 378.41561335350968, 379.16461314543608, 380.34536025596549, 380.97448841496106, 381.74346511857863, 382.63862133196767, 382.89633117646076, 383.67709706473329, 384.47437572333695, 384.70520002534232, 385.62298511687499, 386.65559115173545, 387.40378854384403, 387.53950873738711, 387.95809572835384, 390.20739100831076, 390.34167189880299, 391.69716530658383, 395.14740792072291, 395.17526772778677, 395.29019371836443, 396.24904965229501, 396.76679007131725, 396.91583915251982, 397.79559682994858, 399.71074801521496, 401.45698772373112, 402.52156534896079, 403.31177400974144, 403.54971518353045, 406.36275320136576, 407.32816994907392, 408.7302074858784, 408.99494684780655, 409.16282835047014, 411.25899920225572, 411.63657196605226, 412.65509855555581, 414.32888181358868, 415.45527999601825, 416.03517782484391, 420.6976926779364, 421.62053854600322, 422.39930137084491, 423.19643717857298, 423.42285102970379, 423.62219891467862, 423.75825628474405, 425.94517017044461, 426.4466600278829, 426.97866553849803, 428.33925848398047, 429.2823135755358, 432.63545365969168, 433.19905478287245, 433.61132639778737, 435.94817103842144, 436.53266920498459, 436.63293306803973, 437.24031179586297, 437.68720007797276, 437.81646525531693, 440.89947718136307, 441.7391632041037, 442.98560742073215, 444.85426089106301, 444.95735529940498, 446.56142672854281, 446.60505837442435, 447.01819357023663, 449.42861841197549, 452.40675156534763, 452.6912935052278, 452.78337238315476, 454.04535747949438, 454.44415566989517, 454.67140761438424, 455.64838942170115, 455.82732595813911, 456.37402939198307, 456.94576726479397, 457.74740565359633, 458.066693852426, 459.51571083496412, 459.85455328708679, 461.59956244406902, 464.12315636856289, 464.86777314170695, 465.21361873844279, 465.24833051069345, 465.72292496424296, 467.12494333939082, 467.14975135063537, 469.50025620268616, 471.25504864675929, 471.68654978256308, 478.45053467094289, 478.80293214011886, 481.78440763777724, 481.85586200201703, 486.46432865046376, 486.49694242640288, 488.19139205049277, 491.50001415161387, 495.00757333078928, 495.43462242039891, 495.47521444152852, 496.91411184128805, 497.03706650607597, 498.27225497582208, 498.74662004872039, 499.52627087978271, 499.57982440513376, 499.86321726819608, 501.43710526918494, 502.51041569502155, 503.57998569200248, 504.43507669185959, 504.68089891110816, 504.84831253476921, 504.93824153901335, 504.97783207903706, 507.22343273225039, 507.5505030003369, 508.7587391707192, 509.66310305354949, 510.09057346171863, 510.85361698507126, 512.50489135593079, 512.85629614370362, 514.2269871275098, 514.63466409803561, 516.37716326856025, 516.49256944645651, 516.99261938519703, 517.0162302536412, 517.8765257547326, 518.8340899011248, 521.09571674976951, 523.68382001182476, 524.73472229005438, 526.16002524712985, 526.53266797980825, 527.05156484772397, 528.00974558164796, 528.21243597590683, 528.38614443629467, 528.46595663931009, 529.90914195393623, 529.97134139499053, 533.10746969489924, 533.85789738327946, 534.17400875653584, 534.2989954584807, 535.71992778726769, 537.3875457400402, 537.49567260206493, 539.37627242342955, 540.42714781683878, 540.77373803708156, 543.04109799433343, 543.44622394855821, 543.81569977898482, 545.34055498701616, 545.91125158328043, 546.04311772262338, 547.3115102623135, 547.64657179723793, 548.5876791451974, 549.04165280738744, 549.59677659853367, 549.94696485240559, 550.97910326372812, 551.03848816532786, 551.85785065819834, 553.82037625913892, 554.2219067649479, 554.36968362055813, 555.26291151258636, 556.19189617743268, 556.23745222824482, 558.30990919558155, 559.44874673700292, 559.59900844255674, 563.78970389443293, 564.30654175470238, 565.94977771346225, 566.03034876767072, 567.84212137531892, 568.7850766181316, 571.98563195190582, 577.7139256138455, 579.22319295087482, 580.28075576524475, 581.90376831784101, 582.61358013431595, 582.79232447872346, 583.0034853170921, 583.80480940271934, 584.23884484434041, 584.26881325491354, 586.46427382148772, 588.24536439482392, 588.28865400043367, 589.22657436029942, 589.53592864873428, 589.72531443113564, 591.62597388289282, 592.67391325030542, 594.85447733566798, 596.14135157631813, 596.6151080201646, 597.95541476611913, 598.69873130842996, 600.35911269673727, 601.57484840034067, 601.84644045597952, 602.12892760187117, 605.22054755762179, 605.86470231582848, 607.0744819703699, 609.0879794592496, 611.32030805928684, 611.99489916465382, 612.84648081955538, 613.18144799008473, 614.36480566554587, 615.71126537971929, 616.97732816845189, 618.73451393322284, 619.40612920876924, 620.23700501190888, 623.22874652650569, 623.62599863609978, 624.54739087393898, 624.71272663790023, 627.04348248393023, 628.5813528915312, 631.01591624443347, 632.33397467978943, 632.44873201085727, 632.48239924796621, 632.83388587901322, 633.32489942383313, 633.80832762046543, 636.50614208884599, 637.29200646494041, 638.04980787604086, 639.64053611851205, 640.92580423038021, 641.80819162879243, 641.92177883104273, 642.44206552705361, 643.32744631937635, 643.55096725503051, 644.60678295186869, 647.41914031709462, 647.95036666548765, 648.43771007411488, 650.15984846451056, 650.30199919086272, 650.76819545025603, 652.21865030782783, 652.37215745880462, 653.10498775901169, 654.82461329734531, 655.85661457347544, 656.03933217893928, 656.73494156602999, 657.63547411432342, 658.65016181019928, 659.57976643159031, 660.38435231926428, 661.00405973174691, 662.0820635475809, 662.81344490296487, 663.47000219099459, 663.51858399716423, 664.1719988817124, 665.17031517017108, 665.90911207805073, 667.52615930497609, 669.14252565084564, 670.3370948788903, 670.48444977058296, 672.91806734568047, 672.95496384495152, 673.093038362333, 673.712075393644, 676.43308092404334, 678.43025503318256, 679.44446782364503, 684.05793826628565, 685.24893587946747, 685.49043507541114, 686.18949851574223, 687.16765002281409, 690.07135847407801, 690.41978454921184, 690.84056693345258, 691.99965058756197, 692.37051870033554, 693.17364084869496, 696.35552808154785, 697.24112018564551, 697.55032646420739, 697.86429476463604, 700.12630995004918, 700.31843702654919, 700.51606813551621, 700.6482273430978, 703.89179669101634, 704.48381998743059, 704.55897681722456, 704.99968652017276, 707.31395922734919, 707.9394750101261, 710.81228574903855, 711.82457215901252, 713.78635907000853, 713.85639567229691, 714.11845109717899, 716.30955818459893, 717.60761301386106, 718.08911595367772, 718.84878032771974, 720.4859003458464, 720.61992875640237, 721.71350241322943, 722.1429070605792, 722.3938376765941, 722.48912225058564, 722.894283325576, 725.6706466034741, 726.13067299156728, 726.69269498711083, 730.40154840670039, 732.12709590709164, 732.21382746990707, 732.99548237606678, 736.23441575953484, 738.2692736999428, 738.41716216969553, 740.45152440856339, 741.34590113676961, 744.96567737366297, 745.36300260760413, 745.40968588244493, 745.90489672528588, 746.43072769606476, 747.09026162935152, 749.06929993302595, 750.22977899831551, 751.70586895502925, 753.1790195943853, 753.88605750389252, 755.95022340115202, 757.42078744822743, 757.46588240851213, 757.51829836031652, 758.40671872216103, 759.30275089334555, 759.65424121804199, 759.68536545427821, 759.83969913733813, 760.39356442918483, 761.53537845853816, 763.06740872797502, 763.28939278709481, 765.37772515433448, 765.84429933390834, 766.28626356473274, 768.78624864463404, 769.68313400332772, 769.84689400890556, 770.28962261630807, 771.02385386939363, 771.88206029890023, 773.11739229155546, 773.15104254816868, 774.4994528920339, 774.5459897690821, 775.95501458692388, 776.66356746067061, 777.05273551274058, 778.12515642041922, 782.65715039931183, 782.9923719826312, 783.21069693767413, 785.73229591547272, 786.23722274673219, 787.5741421423877, 788.64854122405916, 789.26881689798654, 789.30540427871335, 789.56219534361139, 791.29323808042807, 792.45395899006803, 792.67231333027098, 795.13529423623447, 795.18315585886091, 795.64935994584687, 795.71035042617768, 797.44550643197203, 797.69298275862843, 799.17978329049708, 799.61235673878093, 800.2586501196871, 800.67548431279681, 800.75913812905935, 801.97109371772228, 803.05632214780599, 804.6352843919525, 807.36146690800877, 809.58198990175629, 809.81170938233277, 811.21806683156922, 812.57967748910676, 813.1415750366931, 814.49592467880063, 815.04008635822731, 815.19490052081176, 815.68917429557541, 816.80737622780498, 817.35800788350343, 817.81612632503504, 818.1164330334758, 818.46655859813984, 819.52761268803863, 820.59756812180058, 820.91373572749626, 820.97208859926616, 821.14528899931179, 822.11981574878939, 824.40506110260912, 824.96450259112646, 825.81737922634147, 830.15155419409621, 830.18633391922219, 830.48881306125736, 830.69553577260763, 832.17105344573463, 832.4485539849403, 833.1930605693243, 833.85572152084467, 834.09183277749196, 834.13294057190546, 834.25288962622176, 839.11845027292543, 841.92716909682429, 845.42886122930372, 849.96100023640429, 851.03086459726558, 851.26006276942746, 852.20779558644665, 853.88586292231128, 854.14073042186419, 854.23220609884754, 854.91600907627969, 856.06686817635966, 857.53620437920165, 858.96168081519772, 861.7636916064946, 862.1575774945685, 862.53268972599517, 862.6267710683295, 862.88056378473777, 863.45705704517059, 864.04866906331063, 866.07724491812405, 866.44637562482069, 869.04182767656823, 869.21109976356354, 870.69274078550359, 873.12921119235546, 873.4930741469484, 873.53318826109785, 873.90165760277182, 874.30538060405206, 874.78054766959588, 876.452262205956, 877.29630785259667, 877.34422278679415, 878.71369280686156, 883.50322328800769, 883.75644058503531, 883.92675515727615, 883.95224985592927, 884.31142043740613, 884.43202991766316, 886.34960080029396, 887.46666432687164, 887.7949972187746, 889.22275558222339, 889.37764541865704, 890.4033187219519, 892.90462543181479, 893.54733504814055, 894.47117780040026, 894.92591216464427, 895.35610675127691, 895.39150146342286, 895.64011514505694, 897.18970380133942, 900.06733950063665, 900.32104072300069, 902.30563319281964, 902.49497238647245, 904.13818584509431, 904.83503518902353, 905.37518177268794, 906.39518616664168, 908.00544094545842, 910.58540217913151, 912.44425811392625, 912.91454815457496, 913.68816595763838, 914.39092500236472, 916.1051076634393, 916.23360970945077, 916.34414498660681, 919.38357773408984, 921.30133901005524, 922.78357637865838, 923.56081823327986, 924.7672136319768, 926.05888570865147, 926.33373862174324, 928.67562699823452, 929.5360966776617, 929.74318035065062, 931.52737458067156, 932.60432115375579, 933.43109210061789, 935.02937688885481, 936.71815375037272, 937.43108527680215, 937.53368196847214, 939.17761494498302, 940.1759051109716, 940.9882331047146, 942.70885429403245, 943.85820233094182, 945.85928733556887, 945.97437904948629, 946.40358730673813, 947.6099725138962, 947.81052582204711, 949.64785501456618, 950.58943457959549, 952.32595749716563, 953.00041701680016, 955.40312174862493, 957.60160639387618, 958.87854649985138, 958.94890668559299, 960.26915255710696, 960.4070828379397, 960.99557455278295, 961.45633760383635, 962.76973612203301, 964.15357487997312, 964.35942034689663, 964.44979093057077, 966.83287443161623, 968.68908398110227, 969.05537903663162, 970.12716327451233, 971.11238770112857, 972.83142743014832, 974.01439758018512, 975.13119912514969, 976.81208964559994, 977.14510415241807, 977.83653935925292, 978.77550202405268, 979.76904944610658, 980.29413683627649, 980.67422865642504, 988.92906070655545, 989.51720861068452, 990.23219592001146, 992.37093057756226, 992.78872883248869, 994.39164914068681, 995.24178098378309, 995.39851340731434, 995.45224161052727, 995.5134048095191, 995.73158214389173, 996.30524799994782, 996.56193337583522, 998.51716335111621, 998.80193234113472, 1000.813401657902]),array([0.1144851738486441, 0.13510819155205311, 3.8702120121623698, 4.2390524125300013, 4.9418499211738158, 7.01491618936336, 9.4921901472195369, 10.158301854162815, 10.824581505753789, 11.018338439989531, 11.52938847585051, 11.858664495861849, 16.779259165397768, 17.524240510263208, 19.194253277818092, 19.482304724221883, 22.122158593847345, 22.373668698550393, 23.102465716161536, 23.228673048280847, 24.102874513927727, 24.467851834706625, 26.67836726618706, 27.169264821094966, 27.698191023092559, 28.131125428443244, 28.584909828650318, 30.902598197158721, 32.739540851034427, 36.276748656745305, 36.761326667350382, 39.886372460830728, 40.195211700371836, 40.525084542150104, 41.426461060668892, 43.991624649504963, 44.283308997529808, 47.092890260958072, 49.270362479562323, 50.821557803131, 51.689158967019615, 52.491209451733447, 54.715407462010084, 55.868392206981262, 58.479045515044916, 58.954421161530959, 59.092849723077599, 59.246029708788569, 60.912489993080079, 66.217321098007261, 66.405508505700382, 67.382044395773804, 68.045627112744143, 68.183481967093329, 68.542636970427154, 70.028945910890684, 70.451936034505309, 70.590253761899959, 70.766648945184727, 70.807096309828978, 71.043201459847921, 71.854494352407215, 72.773139175515581, 74.762755684967289, 75.879619690419545, 76.97608718149786, 77.966810976964013, 78.697807404064562, 80.924926848875174, 81.017647743452955, 82.000527029606388, 82.196656449769108, 82.746960357578828, 83.536802446770693, 84.752810886854647, 85.427380135338893, 85.858255573859964, 86.040591586852671, 86.54243487496052, 86.880631505395314, 87.070531349273296, 89.196250946116592, 92.021411181379889, 92.731756070389878, 95.926236644477925, 96.197947637086642, 96.468760555069778, 96.516912229673906, 96.711696340327094, 97.67254067409435, 97.839332120854692, 100.0952151364921, 101.16971796172541, 101.33991688557157, 101.96966896520726, 103.07935911164721, 103.16255708964101, 104.27181413807072, 105.67213824716853, 106.1710636007153, 107.47290475744407, 108.28707597910234, 114.03803773383197, 114.26598746086869, 114.52659052285034, 114.69543602653208, 116.28525691646419, 116.6126263482527, 119.27762100098487, 119.40291322225602, 121.46113801461732, 122.72393005271388, 123.2474795144103, 123.59347152111059, 124.07985704728806, 124.23682972973199, 125.18764102946758, 127.44725019274961, 129.14523516384585, 129.77000066625953, 130.5748856653951, 132.80843640152719, 132.99632550273682, 133.22275263144144, 135.54554895521545, 136.16120349938686, 136.92521684347361, 140.61910408553285, 140.98277073860896, 142.24505088135538, 142.83978135205018, 143.50496653258205, 143.97344839034847, 145.29300971575307, 147.38073220066681, 148.340969250564, 148.44273513763565, 148.78950484249216, 149.61900828034231, 150.20075598240251, 151.76822651319935, 152.66449432381256, 153.02254224962104, 153.33164014751108, 153.52199875506423, 153.77968644284846, 153.88873517330546, 154.15220080567173, 154.59305618438461, 156.67766654224747, 157.66377402337014, 157.68763957000075, 158.10117909184214, 161.41876389946628, 166.42265486832608, 168.51530294516903, 171.50987876310191, 172.88643581093407, 173.81905015671106, 174.9840771753486, 176.02616092624186, 176.39277068647522, 176.7606643854522, 177.75508789832622, 181.21070921402739, 182.54665218720686, 184.74038196758445, 185.82806310821331, 186.67391093498699, 186.96763388478217, 189.00962376585105, 189.19538176266775, 193.6094313773136, 194.01771957617791, 194.17775429022197, 194.4802867045066, 194.87011297864839, 196.17203801910708, 196.76259983237665, 197.27843461833004, 200.9920121972325, 201.5735761949752, 203.59897917435708, 203.8715426407222, 205.25581864171241, 205.59623826545035, 206.20615633764979, 206.70856569618752, 207.34209792479706, 208.94919222305393, 209.51153512680966, 210.76694773522325, 212.7025085233349, 216.43924479878646, 216.96165530423391, 222.68107915698747, 222.77345210733549, 223.33888213173807, 223.96711494408387, 225.11412591267327, 225.80608117664784, 227.25474299540946, 227.50878177015031, 227.57470841834933, 227.63869399374519, 229.52581685808363, 231.13068123737733, 233.86682671506236, 234.12012199059811, 237.14015741811454, 237.45798853543263, 237.82248850124947, 238.49626814984356, 240.36804449066705, 240.98704394307219, 241.7571615981073, 243.05489805559509, 243.60170741201949, 243.82547283221945, 244.21000479996644, 245.30485646828291, 245.99267823650112, 246.40453641170714, 249.19352753183398, 249.84880834667561, 250.96575694520615, 251.38200140709688, 251.86497103591603, 252.4937078406513, 253.76753612424878, 253.94130143891235, 255.22900000780012, 255.29580196760159, 255.71532353956886, 257.09054765405358, 257.38090606004067, 257.72227418963212, 258.2227232808907, 258.60769960347039, 260.98929576990741, 262.67218884151487, 264.04857581560054, 264.56508658017987, 264.85077226763411, 266.04582701792702, 266.86994704583054, 267.82007221378427, 269.65913982289328, 270.92831849859823, 272.436816526651, 274.81593548043656, 275.71152157456419, 280.25445739169629, 280.38888442963082, 281.27482475022543, 283.20723437803252, 284.89506932747616, 286.53840786071544, 288.35032872150333, 288.65285281214801, 291.72494967161623, 292.01304307395498, 292.29341146177654, 293.35690405186062, 293.60896965137954, 293.85954598509858, 294.99901318164854, 296.66625562396314, 297.68400845246128, 298.32568789749365, 298.82252015584902, 299.8787858055901, 301.13866458801624, 301.15930459934265, 301.25394188616497, 301.36459740858334, 301.95685481132585, 302.71149698411352, 302.92651287887952, 303.03462419591665, 303.3353248584026, 303.4319020714106, 304.40467503922537, 307.31752554371548, 307.41609462145493, 312.08531813005862, 314.93743690566538, 315.34978090023986, 315.67603394007295, 315.70107532925903, 316.40086517142254, 316.49248124138205, 316.96321718879972, 317.20920820480001, 317.45865813089898, 318.80705151307285, 320.27356981133789, 320.9677193194882, 321.09492344742193, 321.14390337764598, 323.86881002512075, 324.06163255097783, 324.28986468057343, 324.3411036279735, 325.92244954648623, 326.64019740146659, 328.2451527491433, 330.37395999466497, 330.80210224355, 331.5213207798916, 332.32524061637844, 332.86818068642151, 334.97318829624959, 335.67350190027884, 337.21815210336217, 337.25565820030749, 341.0222417758622, 343.22141164854418, 344.56349265131593, 345.16950678654439, 345.53312164264548, 345.78731967933282, 346.80589264330371, 348.36246504964799, 348.43805732548378, 349.1136799240295, 350.19435973918513, 352.29871720966759, 355.44042452498996, 355.73056218327582, 357.36508608498491, 357.54360981774579, 357.91679565318208, 360.16849051052179, 361.12878638602831, 362.34908017021269, 363.23336510198504, 364.44583338810844, 364.89324885043163, 365.65533771344394, 366.96184949226887, 367.37416142150011, 367.79534085612374, 368.03573764274068, 369.12752516105803, 369.26494534249349, 369.32699613906726, 371.37967577639182, 372.82687970529952, 373.84258106243635, 374.24873416361299, 377.42769448226085, 377.98498015876481, 380.07230452388393, 380.20627632759988, 380.43553962170148, 380.73271577153542, 382.15552143450185, 382.2833590879651, 383.26432339252898, 383.66979246358841, 383.83806845115339, 384.47839292497787, 385.728081091484, 388.0334826056253, 388.35300482127349, 392.58938287614319, 395.04740979466129, 395.96430347722065, 397.00313767677699, 397.67172618512973, 399.51702752750361, 400.51437689031741, 401.1877252830102, 401.49330283335956, 401.93675754929018, 402.00085138076281, 404.63610570332031, 407.6257919448505, 411.74754380551656, 414.46639286115089, 417.0579165080656, 417.53338338065828, 419.42076283109617, 419.66027549735196, 421.07964653122514, 424.08058006440586, 424.86512703308443, 427.98736716444176, 429.45608049614788, 430.62782657416403, 430.93645324249212, 431.27281456653759, 432.56505123516831, 433.39270641225056, 434.56926334773578, 434.79484265649444, 436.5596023072211, 437.11137536409325, 438.78757212308648, 439.74475168244351, 440.19151234598939, 440.39494531959855, 440.45282023418804, 440.51277445429241, 442.07615830814956, 442.32187884133583, 444.40487299346125, 444.6944928060164, 445.70178635466738, 446.84610492173317, 447.33996936566814, 450.99621790045745, 452.21327049060898, 452.35489665524119, 454.1314153559407, 454.25037299015708, 455.90445468809787, 458.09507917841904, 458.31313279951058, 458.82790746084964, 458.89959666464313, 461.90635621704956, 462.91742085340445, 463.17226492352552, 463.37387756929292, 464.32722848916671, 465.04767190740364, 466.80089880104737, 466.86994625823098, 467.57644595189771, 468.44520442298915, 469.05316457684756, 470.45478627702897, 470.58915345255099, 471.1668278584072, 471.56053692369403, 472.63002798762017, 473.94672991647565, 474.37532190390641, 474.95801919727762, 476.00572573531178, 477.38865581367287, 480.04718707299389, 480.23504942872449, 481.09105262204827, 481.19723084024776, 482.33575384588755, 482.39350770952251, 483.42894990119612, 483.56071406073238, 484.27101809896135, 484.45862520615674, 484.8736530914984, 485.37199008775207, 485.55095182838534, 486.47232411075572, 487.71801189175727, 487.9742969333945, 488.84948676099526, 489.20230538544598, 490.62158002455686, 492.85892189906116, 492.90245715315461, 493.37237494696564, 496.20514896854195, 496.60141213903898, 499.37904417971254, 499.52686211842655, 499.57721343136728, 500.09456872925256, 500.99754684163486, 501.51773634850122, 502.44165291119833, 503.97934559081551, 504.54821963429339, 507.90665695256388, 509.64557227181621, 510.21907498680338, 511.66545020795292, 511.70738418423457, 511.97899941813779, 512.22033455446592, 512.55208643777735, 513.19884349818358, 516.64073278689716, 519.26215399809155, 519.44590613520995, 520.38844646619725, 520.96481720908469, 521.72789652054234, 522.70019811848636, 523.881460258483, 523.90490507276434, 524.26352071359372, 524.83005412747218, 524.85983963137414, 525.45648736214696, 527.22735577701167, 528.70827264544937, 529.02396219307445, 529.71475276175329, 533.69161748880344, 533.72539308974092, 533.99094295579118, 534.7575724432254, 536.02586363121327, 537.05795589139188, 537.11995448388529, 538.31274371161339, 538.49803377736998, 538.65569574918482, 539.01807784555206, 540.3656385793663, 541.55503142268617, 543.14416466219905, 545.25620299295213, 545.5168499041248, 546.0620783997357, 546.50274500008834, 547.05776027781167, 547.08597842855443, 547.39234504990486, 547.5854403166353, 547.89240273731593, 549.34605165183177, 550.55749330841491, 551.61281921330692, 551.77371718154996, 552.46010336344023, 552.65354274667038, 554.77801752717687, 556.12213879275112, 556.40931662835737, 556.53338533940405, 557.15565382339003, 558.19322121289406, 558.63709864468171, 559.41677094659212, 559.43732933662943, 559.51183879332928, 560.79568144258735, 561.07419594547002, 561.31216119243823, 561.34818092824139, 562.38197291989479, 563.00232219518443, 564.31952155774593, 564.74948713854849, 565.68637857717647, 566.86005430353316, 571.64479707853639, 573.4885896944528, 573.60461721627053, 573.76759527234606, 574.90131490902525, 575.2031338371612, 575.29071838728476, 577.6309051527378, 577.89123326022366, 578.35858308649881, 580.12170085692946, 580.42285973683397, 580.80973821657267, 581.64664557055301, 581.89968555384155, 582.91313325718056, 583.1117259134918, 584.19076632348094, 584.50086165820608, 584.76144919532987, 585.32113412318108, 585.92354881749804, 586.49525986643539, 586.91705934676691, 588.76723543324795, 589.61704659185455, 590.47834095729979, 591.27766047293369, 593.42154194720774, 593.553135920714, 595.36089647952099, 595.38183214959167, 595.53936444990723, 597.50936049979578, 599.65192451159771, 599.75558954467624, 602.57989108870925, 602.69719112752387, 605.86280553647543, 607.80942438938882, 608.62372910115596, 608.78566439019448, 610.30328987785367, 610.83380962054639, 611.08824174460358, 613.07103481344654, 613.38541797604182, 613.71171104748157, 614.4440259999086, 615.38657244109061, 620.1581180496828, 621.31707931265157, 622.01054709017615, 622.80993723407835, 623.13723038009505, 623.29584540436349, 623.56637893204982, 632.81037925524129, 633.17153762544444, 633.69954495922138, 635.32575023068989, 636.00667985972052, 636.21645694863696, 636.32813732626641, 637.95952302186834, 638.94523434247537, 641.45373898232936, 641.92339800545142, 646.32222056605963, 647.19567999442415, 647.33353443443991, 647.84101765673097, 649.76406342788766, 650.72694840449299, 651.9067324795401, 652.50713606991167, 655.55856087046266, 655.65443764072711, 655.82009254009176, 655.99211274531262, 656.18292898336915, 656.29755441513169, 656.81307979617759, 657.93880244907245, 659.35969147779713, 660.34595718350351, 661.05000554180708, 661.30820536451017, 662.32579328064537, 664.13441963823288, 664.37489961259985, 666.37248624849849, 668.40364429369072, 669.04100294943225, 671.67137427761054, 671.93037057520428, 677.35738486746357, 677.44025073941634, 677.55154600662445, 678.47758245378463, 679.93399068582994, 680.85069408403501, 681.77332227076317, 682.49851468334566, 682.57465871507702, 682.63737417451341, 682.98335997736478, 683.30228210891119, 683.46520856442032, 684.11146136465038, 685.72773679278237, 686.99765909525149, 687.83930487819998, 688.37877294743805, 688.48236719568592, 688.76465182761831, 689.86481965257599, 690.00067571279442, 690.40734055515316, 690.58300928578842, 690.91150803542382, 691.47387799101705, 692.28880905933863, 694.25658445273621, 695.38737530874448, 695.57032466341877, 695.68598234348394, 695.80320272035851, 696.64067010085171, 697.07694942892397, 697.87872486651747, 698.98661569511387, 699.0105422791363, 699.73763807615239, 702.39906970664447, 704.88379092255434, 704.93394033144557, 705.39021345828269, 707.50394409949058, 707.74258605094371, 708.00091648297052, 709.59225712734928, 710.50960084821691, 710.72591159608317, 713.05422255493397, 713.10870598275346, 714.64715071468527, 714.84484400842416, 717.28697852233609, 719.4322979873433, 722.12874761320552, 722.67151462819379, 723.21820013382501, 725.87088317967653, 727.80136654591035, 728.04043549823871, 728.48243202076912, 729.75185591420927, 730.42939634099378, 734.5624806125295, 734.60255789997188, 736.57999203763904, 738.63054630568456, 743.00737729375476, 743.33562246228473, 746.25706062584629, 747.08651099366148, 748.30245547027209, 749.46536575346147, 751.09297940725003, 753.18683075089029, 754.0555746158135, 757.29973591758494, 758.0508804147637, 758.75104149719994, 759.32766269367323, 760.33816820195182, 761.30084154411259, 763.71044065823287, 765.48705179468504, 765.88122279778293, 766.88207344539001, 768.45881280994138, 768.78412307797748, 771.12562179865915, 772.48446469919054, 772.71292160100029, 776.01580884523082, 776.53040810058394, 776.69499629026063, 777.04290008525618, 777.24199683690824, 778.90742039051395, 779.45103082535206, 780.08263770739552, 781.87640974152498, 781.94013748884129, 784.12326345094266, 784.89725807801733, 785.24969655787152, 786.91712507136231, 787.20119652807989, 788.1973225986867, 788.66135684338508, 789.08289630744935, 791.55474760859738, 792.05055047935514, 793.10492879041203, 793.66374363962871, 796.44296880869263, 796.91896922065109, 797.24298010186453, 798.10718390444822, 802.19315844710138, 802.97467742031415, 805.43602794611957, 806.25599466960898, 808.12065108552054, 808.57392639651562, 809.28027597377786, 809.91935659419755, 811.04087860361312, 812.1081293461167, 812.5059768647518, 813.29964561426971, 815.19516473004285, 815.28452824120075, 816.34656353377432, 816.52722735658335, 818.65582086907852, 819.53006851969815, 819.63787981236726, 820.42870837874409, 821.69724094012611, 824.26807022582079, 824.30662325327057, 825.44042424221891, 825.74963574365336, 826.35158442480156, 826.75626891459547, 827.25214689911479, 827.35695505547312, 827.67751640019935, 827.74982235689197, 828.2348468864875, 830.72648695212899, 830.90751590821299, 832.18155647254787, 832.94515047335949, 832.98250816326777, 833.28565260945913, 834.13886843015575, 834.71484469348729, 834.79322688877869, 835.19328132450289, 835.26982870605298, 835.55963690603085, 836.28318920793322, 836.76155537664101, 837.00362659569771, 841.18742358067163, 841.95412293639993, 848.55146774085893, 848.85226025814245, 849.74764931054995, 850.92492535611234, 852.15635366488982, 852.62048339572402, 854.40556582501074, 855.90153115425483, 856.84726377954178, 857.90696816041782, 858.60566368398361, 859.54452054867909, 860.16787329496742, 861.87714580364786, 862.07989390579712, 863.99145410820495, 865.77553148649349, 871.96646552071547, 874.81108491012924, 875.61471991092515, 875.83020443778457, 876.44365279105625, 876.54472102400939, 880.87321255967777, 881.12957164020145, 881.59768202276507, 881.76785227302764, 881.89314839133999, 883.3434886966038, 883.85721661456967, 887.36831937600027, 898.46442512910858, 899.14435822453549, 900.21373304404267, 901.09772178243099, 902.20193092517275, 905.6538215210029, 908.49106222149817, 911.35533756791722, 911.47056613123777, 912.0369116667232, 913.25017650109635, 913.3137613780782, 913.77820827926905, 915.18610791565459, 915.38474183134076, 915.99510615368183, 917.64505072827615, 917.86891270544982, 918.21930413272844, 919.48380890452643, 920.24577046309571, 920.90880192027532, 923.14427370152282, 926.2860237459156, 927.27212647296335, 929.02908204645132, 929.33268697690551, 929.70500363444182, 930.00064561739646, 932.55892901849711, 932.97933275820697, 933.43695558753825, 934.08190072999298, 934.44123626785279, 935.39740258384654, 936.10906161042715, 936.17361654661499, 944.15482969865661, 944.64084126339526, 944.82238366431432, 945.88946612598727, 946.300267898431, 947.1719888396816, 947.37933636950743, 948.6839843435713, 950.61798605608271, 951.3938259727862, 951.89704793029421, 953.75984634509553, 953.9331447920099, 954.1192585010906, 955.09678691109536, 955.32119680747337, 956.35562921458154, 956.38397911682989, 956.95760670355799, 957.14775770683798, 957.52482986251403, 957.54519615496736, 957.81474163619862, 960.04876384192778, 960.17943121532892, 960.85401538928443, 962.80989581862002, 963.10336886741413, 963.36545502542322, 964.19747593133491, 965.26898724688988, 966.93192092922777, 967.89443502085487, 968.21648113945139, 970.54870864688269, 971.32333262900238, 971.49706155648585, 971.68080000330735, 972.10049920238566, 973.23898942626226, 973.56593873948827, 975.55340163854282, 976.05287894765002, 977.18984633758021, 977.29935162214417, 977.85128891538932, 978.07846356204084, 978.22962259911174, 980.41347935715146, 981.40958453471956, 982.02501535317447, 984.15525477664664, 985.14974827215428, 986.90817462065661, 986.95096108388566, 987.50126613388966, 989.31584450784567, 991.8785984706002, 993.09930310389586, 993.96953461190446, 994.82249719912284, 995.24702924134147, 996.00682711095317, 996.60789141686621, 997.21427768465264, 997.92075468032033, 998.82888458148886, 1001.1046820113464]),array([64.339324454857888, 65.616024480434646, 66.087693140601303, 66.321197088131925, 66.457995154263727, 68.85783079498141, 71.333654061684086, 71.987795606202937, 72.623499857656697, 74.626793953613685, 76.191519622086119, 77.413298215897996, 77.580991771442072, 77.727705654250627, 79.60151700181207, 81.005267568353673, 81.435127913765839, 82.009646312110263, 84.737802726633234, 86.702633911231985, 87.477395905664693, 88.005716677528781, 88.864365300301202, 88.951043609348389, 89.111110403292045, 89.346794851022167, 89.532920642626721, 90.056228775591663, 90.307855118906204, 90.795388313917073, 91.440520042059987, 92.00544552889248, 93.49789888487058, 95.261826753597305, 95.306241409751493, 96.424980912517242, 97.214917697251934, 99.383040276734874, 100.58500393154405, 101.13593739867088, 101.99067190849583, 102.25928710124316, 103.38462867310844, 104.9715417136037, 105.65459339907659, 105.95763988719207, 107.10465464063127, 107.5261828741837, 108.26580943786651, 109.43549222423857, 110.28156649072891, 111.43223693900434, 112.85979857983561, 113.49662157425047, 113.57671176599487, 113.80280315807306, 115.38979094279031, 115.43485303513167, 116.95939404818648, 120.04258162674149, 121.66994062301937, 121.75650257073305, 122.34238839417492, 123.39765656338786, 124.47904754759075, 124.85250077351007, 124.89475579996754, 125.30973618315812, 127.3497405412006, 128.03617526617177, 129.9199613969563, 132.89135930799907, 133.84590032886467, 134.16770961778093, 134.63639436987759, 135.33803170955446, 135.80883374706951, 136.11579103253169, 137.19993163222077, 137.4166183911465, 137.43908758639731, 137.79770185060576, 138.36832528838607, 139.56227724131452, 141.60357973923965, 142.12262689503916, 142.70118138297528, 142.82303031811682, 143.46472617222267, 143.73960479937344, 144.46830279243443, 144.59864247360761, 145.36268341611651, 150.69042295955265, 151.14929812692975, 151.39534059052005, 152.25394164569107, 153.23043423992149, 153.59366864084097, 155.28077811912456, 155.56199901439493, 156.3153815323306, 157.60433849512677, 159.37117026033823, 160.06032266819327, 160.08571352414771, 160.66589994295279, 160.79356414429475, 161.16827181864602, 161.88956264847195, 162.21706783218852, 162.31173847493235, 163.10856668702942, 167.21372575273989, 168.78129896662881, 170.65237698041818, 171.31453852790517, 172.3605969376718, 173.77822927114224, 176.43161453114757, 179.48105262739983, 179.82167842721273, 181.75435315469809, 183.23213970646296, 184.39159906570524, 186.54222461687564, 186.74458380733748, 188.56858260688557, 190.06937353482826, 190.91445822047626, 191.74266508999227, 192.59248154420126, 192.79249341342293, 194.57592370856275, 195.46153682519176, 196.17522201295233, 199.32297697405943, 199.88986595790109, 201.79307271193474, 202.0264959216567, 202.881558458744, 205.77272555722598, 205.82987578223108, 205.85188385901034, 209.23801035808486, 211.07654066619725, 211.50200603101712, 212.74471673245662, 216.74656664684821, 217.00276736312708, 219.33231777740914, 223.38209760063583, 224.8145709768867, 224.87337863266421, 225.06417127686885, 225.16463189715498, 225.25154391516716, 225.52372246627212, 226.82690118346667, 227.37221696374874, 227.52359856462547, 230.31453894927989, 231.10932915031131, 231.40055677088122, 232.55031106274006, 233.7131327184936, 233.84851723142856, 237.15863076978354, 239.44411506920363, 240.79742617237218, 241.10598591273578, 243.65662637697525, 245.70246987523595, 245.8327197910836, 247.12714397536274, 247.24195992360083, 247.66009980728421, 248.57344573531554, 248.77539262251807, 249.48548567225754, 251.01170953442374, 251.87981772595842, 253.09179693353781, 254.62537602022832, 255.14148863727576, 258.16398612428276, 259.12648208625853, 260.12665389532748, 264.47019327304213, 266.39182718395523, 269.11490219268956, 271.16154592423663, 272.16743573569738, 274.01860702855925, 274.73534866598567, 275.89623185421038, 276.08383195260944, 279.09576025295394, 280.27884292187673, 282.10880746345697, 284.53341418960116, 284.56168441877981, 288.20998235562257, 289.07629843665615, 289.35074441819552, 290.78069377343735, 291.73563420632814, 293.28952306678377, 293.54792250016476, 293.8530023965298, 294.01421339631293, 294.42284470706227, 294.80138594303503, 295.51672758327476, 296.18004308752609, 298.65507271830245, 298.78059982711613, 299.80584444086099, 302.40424159303382, 304.40816811852, 307.46016241280012, 310.47121340508204, 311.19672010403389, 312.20237152248609, 312.33171713015815, 314.25591428974542, 314.39488542180203, 317.70485833511714, 317.76184944824359, 318.3008403815906, 318.46506041857373, 318.98948810685181, 319.77717838247708, 320.51226949127334, 321.27164658869327, 321.55339204925582, 322.9371390435615, 323.16137153364446, 323.64969910314159, 324.17425769073367, 324.57539136521808, 324.79864334594242, 325.25090235351604, 325.75983699744597, 325.93395556497404, 326.76655711733827, 326.91121698374309, 327.26999760608925, 328.14102290937046, 328.69708649286019, 331.48334344064062, 331.93795185043524, 331.97310632221144, 332.32272021773917, 333.92935708458384, 334.18193034139273, 334.25601440207561, 334.44026071659079, 334.63756225174382, 336.08612039804188, 336.22205009971276, 340.85477034447177, 341.2193553913603, 343.59371130411307, 343.65375388318938, 344.37902743731354, 344.68670832374863, 344.75633240473701, 345.03657892930886, 345.3933163930401, 346.30045395915283, 347.03160389460697, 350.26504666382453, 350.63784005239944, 350.70404681078611, 351.9478727580784, 352.03387753864399, 353.64233049369017, 353.84684776067019, 354.90062728398425, 357.51524525733475, 358.51898921599235, 359.34736692252324, 359.53115445410435, 360.08768317314434, 360.31943213003944, 360.86579933489281, 361.97510448387732, 364.13802645291975, 365.41021004719096, 367.49794466166048, 368.50726248117974, 369.40937776965404, 371.73948000951287, 371.9914792717525, 372.22167696782742, 373.15047599905398, 373.18111731330742, 373.51082583311336, 374.64066211240186, 375.1115824034618, 375.80580375503138, 376.28345500989928, 378.05497512193801, 378.65960125258169, 380.57132753058426, 383.94479538480283, 384.15987329532584, 384.27786051697984, 385.21754594857936, 385.31608423756404, 386.12460401253043, 386.9429820754126, 387.26020949850158, 388.58120266382059, 390.77533871001361, 392.45349349533609, 393.6660337354154, 393.70324851979564, 395.10172616100141, 396.03711136255635, 397.87893025584543, 399.27880303176352, 399.82922680871661, 401.70327251608217, 402.60918996343867, 402.83352428416782, 404.52822292847281, 405.09416717918157, 405.60751951961282, 406.15689914554821, 407.00255555093293, 408.69533834673859, 409.18738031877632, 410.44545378191799, 413.33853721313159, 414.0170970878271, 417.42975027804567, 417.54733760299712, 418.87093038395915, 418.89538012113047, 420.31643599573812, 420.75404835599352, 421.16499693762012, 423.30604700169732, 424.24757826513462, 425.77564898547604, 426.68094530045443, 426.83093651200073, 426.87666349952576, 428.6979314808205, 430.69762801112876, 431.06118030533707, 431.68960420103315, 432.2755160535005, 433.75175102088144, 433.8623500165923, 434.48772868969911, 435.7996588826918, 435.96784613255375, 436.52401846153776, 437.99297267042789, 438.11526580654004, 438.42111245447416, 438.65102751490849, 440.62752012178333, 441.46725265163491, 443.41324466683977, 444.66763938624558, 446.36750371985704, 446.73351812167499, 448.45448638040938, 448.55420260564478, 449.76999636941042, 450.24405675057142, 450.86784961138, 450.99632821190397, 451.12670636771446, 453.19929236492709, 453.24714549763996, 453.27778900004409, 456.7610390986427, 457.97221485325053, 458.42881674117876, 460.06867737357408, 460.53405268644917, 460.86589512469783, 465.48151093597869, 468.81073386260579, 470.0315797068443, 470.18811095272747, 470.40472738146991, 470.97534281980228, 471.31853399746359, 471.75985484918647, 471.82059881023747, 472.52707784873991, 472.7738872486255, 475.54572622162755, 475.86257321305089, 477.22431153714223, 477.85518002406644, 477.94951988650456, 479.17935815170887, 482.03383210258903, 482.50836847417469, 483.06953380152277, 485.16785378953068, 485.52141643178084, 487.72668460898893, 491.56926771368018, 492.44660014764025, 492.50976516389193, 494.03515181995493, 495.4271362529434, 495.76307668573054, 495.97505316191621, 497.18147772421088, 498.071831034318, 498.6001881053221, 500.22175332116598, 503.03524907217275, 503.52542168356354, 504.72873511195348, 505.27779065028693, 505.64181356398501, 506.54169016432871, 506.99247357348167, 507.71202788615705, 508.12792094861874, 510.19287578723367, 510.94667850016259, 512.33119577460593, 512.99954641432316, 514.0932969328951, 514.54980507496316, 515.01788377484434, 515.65213967087891, 516.76744894040098, 517.18754300634635, 518.28853669756245, 518.82661022712045, 519.14602665477253, 520.59380028920953, 521.00496039632026, 522.24520808859177, 522.60924662819161, 522.67822904804098, 522.73590352053805, 523.56870556357262, 523.77354701540776, 524.57904230081238, 524.96350175280429, 525.08544256865321, 525.82221835207133, 526.13919953298182, 526.3683575028216, 526.72658366066617, 527.81184989497467, 529.68569871476836, 532.9627988617101, 533.10460099183547, 533.57744098899434, 534.22684750606754, 535.20592466234166, 535.83701721779494, 536.09278277672843, 536.14598884559484, 536.615164018168, 537.79552425814461, 538.54061057927117, 541.90488233684869, 542.19694979525968, 542.32947203878234, 542.46877041877667, 544.26049639352789, 546.45231991072785, 549.59564919263323, 549.80423643074653, 550.36682383035372, 551.82797265529837, 554.84875874546981, 554.93477248144359, 557.61443735991361, 558.99244097446604, 559.44565723408846, 560.56264376610284, 561.58750179044125, 562.06101334800746, 562.87338751779885, 563.40159781144268, 564.32328498627567, 564.3614167898337, 565.00571385030673, 565.37452825152866, 565.98329239068414, 566.41402025318166, 566.63414571089481, 568.0872860316565, 572.47316992264746, 572.77983632941778, 573.70208633077993, 575.60764318943291, 575.875322392165, 575.93209327133889, 576.67684962406918, 577.20521560316217, 577.49020167690355, 577.67898672065701, 581.71853677539218, 582.31785104117239, 583.31712621717429, 583.54504649712328, 583.81210591163074, 584.33390863571708, 584.45992620427137, 585.61956641308814, 587.45723362847139, 587.95694500302534, 590.39287925378426, 590.72264805837699, 593.31480345983505, 596.68417104660989, 596.86541292325285, 597.39968761477064, 597.82370325608838, 598.81193560013583, 599.17142324221106, 601.29622800048435, 602.11510666977131, 602.47272942049869, 602.75425050342665, 602.93488235302664, 605.30957010686006, 607.00832553260318, 608.24234398920873, 609.5404981655289, 610.71811846602679, 611.40074783800128, 613.62669421418821, 613.76904239345458, 614.21142006556613, 614.84370213285911, 614.93274811562173, 615.17308256914646, 615.51950994044125, 616.83508616418362, 617.95440561028113, 619.68077109817807, 621.04108731906661, 621.0797335262107, 621.44276768379927, 621.54189750190005, 622.5263344409617, 624.83274656261187, 625.39464690738987, 626.22158946197067, 627.08967172722373, 627.76291235001668, 628.50141650551507, 628.89803740683055, 631.03698133118883, 631.84278100340578, 632.40721412009941, 633.15556590235929, 636.11837698897284, 637.62631391355842, 637.72847012834916, 638.59221993785286, 641.79325877886629, 642.52603768917368, 643.26223199234175, 643.30945316752525, 645.24792524971099, 645.29788822190073, 645.56216076542262, 645.84492008275436, 645.89942426755078, 646.91707607828914, 646.97539899173137, 647.03656344602439, 648.14572704040768, 649.41027871031929, 650.30404343584735, 652.23670245176515, 652.61090972275485, 653.63155408913894, 656.9009919439743, 657.84878558528078, 659.53495159811132, 659.62163955208234, 661.88033288008933, 662.89916676451969, 665.11457436007754, 668.62068842277529, 669.31708783169518, 670.30891199705184, 671.25548605628546, 672.77283095010057, 674.09002112028691, 676.23032844655415, 677.59820543660635, 677.88933579745776, 678.40618396886862, 678.99980823666056, 679.45147756086271, 679.54740460101061, 680.51333902568535, 681.16386203447087, 681.52004939401741, 681.5458818463494, 683.82969525701481, 683.89189228518001, 683.94876484135841, 684.43751850865237, 685.78447572177834, 690.52192632943331, 693.71163885906276, 696.64869038461177, 697.04673361640778, 697.56996968072281, 699.55729386189921, 700.7643185986484, 701.17773097753957, 702.82727119339143, 703.12467517275081, 704.28526283827955, 704.51367693229929, 704.88815882228698, 707.53041253287836, 707.89430222925307, 710.04618191969735, 711.58108298089064, 712.96502500694521, 715.81517144783129, 720.20681459229979, 720.90559279826641, 721.63022676378819, 721.78920030145594, 722.65424338597438, 722.74984051377203, 722.87917615177435, 723.57078620056814, 727.66422368966369, 728.49191388270049, 729.54047632497191, 730.27983077093336, 730.42779362149724, 730.49619906960879, 730.94257158871733, 731.44911946713501, 732.4538526707704, 735.2439471093204, 737.1243798635503, 737.32588476951264, 739.76036844938085, 741.50787377986364, 741.80330769847023, 742.29914444825101, 742.48701432454141, 744.33384251439816, 745.30405986667381, 746.07090125047546, 747.06563780158763, 748.12289445556087, 748.93594409676405, 750.31734506221983, 750.38544946723243, 751.55081634292503, 752.22603546206062, 752.2762963437392, 752.96239419889127, 753.54037070567176, 755.84845349718717, 756.03986753442371, 756.35911249387891, 756.48964920795243, 757.26498987320667, 757.8073418482669, 758.54149334785222, 758.73222476834621, 759.13252534318872, 759.85078649497143, 763.03398584622926, 765.79186807280917, 766.62083241904429, 767.55395337501727, 767.90055531454641, 768.88681617414431, 771.34269603329608, 772.89190507872195, 773.25635865733238, 773.5685877428383, 774.74012564698705, 775.64520663829501, 776.4996924774465, 776.87414176764423, 777.30302489182827, 777.71222477718368, 780.31101967196332, 781.37778730059233, 781.82872134412344, 782.56282821246702, 782.65255246752474, 783.34922727513344, 784.08034261508226, 785.01906954853962, 785.57939506277012, 785.67371341621606, 785.97556244646114, 788.45064237059353, 789.54902917812001, 792.27897792776764, 793.12477499498959, 795.12914393672315, 795.70441725384433, 797.81063912466516, 797.8441075073124, 797.95685886942044, 798.18257181190847, 798.60610582651441, 798.89159591216912, 799.14287376673326, 802.1787003563735, 802.79753921965471, 803.05978216097571, 804.65753248760893, 804.74575732819767, 805.17195588792799, 806.57407528545491, 807.03453139462783, 810.72204766545565, 811.37248463098194, 812.59571956229274, 813.53084149037136, 813.55847893995315, 814.52715648931496, 815.43459950181375, 816.80540088698774, 816.88927400031127, 816.96168277693801, 817.114937313018, 818.22928263524796, 819.86479813283358, 823.22825370977694, 824.41932842274878, 824.83061197771156, 825.91738887417353, 825.96790526068662, 828.8111022396173, 830.01195979947579, 830.71282172964754, 830.89263599679964, 831.45242474573024, 832.04249577869086, 832.7672320397354, 834.2058691081138, 834.83668146215416, 834.89298728945118, 835.18684474584882, 835.22774469640274, 835.45337346842393, 837.5005343003661, 839.8392950575884, 840.36797502602963, 843.40130263915751, 844.37914217081391, 844.92567031359306, 845.06809642287237, 846.48048754708987, 847.98107022359329, 848.86105664242575, 849.93494457278109, 851.34256872047285, 851.99151381356762, 852.90665337303005, 852.98401703685113, 853.80657996979585, 854.28046677717919, 855.30598798283427, 855.62724782981513, 855.97043011598805, 857.5870881093789, 858.82527987081914, 859.52068302255589, 859.61689156200362, 861.78704961691381, 863.12594498998658, 865.13208155439872, 865.35924288757144, 865.56590667189084, 865.65801016037153, 867.61708146023739, 868.59825391701565, 868.64598472998989, 869.3165402448343, 869.81014629192941, 870.15814607438222, 870.46255058950328, 871.85201502537029, 873.11576063573125, 873.76489827420551, 876.25307842473194, 877.5744583226076, 878.52810316954083, 881.21632625499115, 882.95711533400947, 883.5246005282803, 885.77798691528687, 886.41317931173364, 887.52660433179494, 889.36441612502574, 892.39690131870327, 892.42035012664644, 892.8311310830162, 895.68144181883645, 897.62918310909743, 898.36016521563715, 898.41863176225309, 899.55960620636586, 900.08782075815861, 900.39844522922317, 901.42193078524258, 902.76149840580388, 903.64362227441575, 904.41240427188575, 905.82716431283313, 906.02969983385333, 907.2349111361126, 907.58622087767662, 908.29140195988884, 908.91585624794516, 909.73882891386745, 913.106617562819, 916.34686299964471, 918.39680418085254, 918.60799247434818, 920.02928672568544, 920.26931309485997, 921.18602966982007, 923.00661451004953, 925.52591210540868, 925.66618756212949, 926.44799341984515, 927.4705471262198, 929.84924395883809, 930.34551610403253, 930.79222395755619, 930.85707518838979, 930.9865130950584, 931.14485193809685, 931.7185818508907, 932.73122931055195, 933.6091832961705, 933.8631528520558, 936.08863494795207, 936.1520330092618, 936.23205434054648, 936.32663694292489, 937.41775742009736, 939.04030433477021, 940.43914107497517, 940.64967191582798, 941.03583361149447, 942.48194559720196, 945.29438706490873, 945.37714293757938, 945.64537350265505, 947.74844402667213, 951.01550310480093, 951.43274977863211, 952.14175415327918, 952.56039764083528, 952.91061991289814, 953.07797081496301, 955.19379230669381, 958.05354838670064, 958.64829350921104, 959.69104944051674, 961.5539514907889, 964.32112307468503, 965.98269650249267, 969.37213558408064, 970.02934724496731, 970.1918179915732, 970.23519959823693, 971.09004556256696, 971.61709568350796, 971.67006108023156, 972.64236723962051, 974.27966657370189, 974.45068212856074, 974.98602612039679, 976.05585670261792, 976.38404813322552, 976.84991207203416, 976.93965158515721, 979.11468192842358, 982.5423078734849, 983.23167592062953, 983.57133840139488, 983.97317532801492, 984.230354742038, 984.622380491576, 986.4383580096212, 987.03490453914276, 989.02468967527, 989.05638816681346, 989.65732024480337, 989.8993784091914, 991.32972407414479, 992.63779252058782, 992.6633302643279, 994.20658984489228, 995.7197537318533, 996.40059851739261, 996.70231360477635, 998.56454123568005, 998.76669642835691, 1000.5081413193759]),array([23.049748139627546, 24.391937923317645, 25.573169734831303, 26.288448252695606, 27.667259947392942, 28.947192708040426, 32.374768591546356, 32.429776100352555, 32.57824140178657, 33.964348044467386, 34.883718475565196, 35.399541608052253, 35.608862064700737, 36.321935551098655, 36.621899192850421, 37.588735761726312, 37.795591835667352, 38.122979728866085, 38.518093784434747, 38.846345581066089, 39.347085598592969, 39.662756441233114, 41.372457864346984, 42.046778834258191, 43.756299160684328, 47.11423477618704, 49.938059174309892, 51.076725225780478, 52.285163569578877, 52.649481860247292, 53.535283544044439, 53.854742621831825, 54.781454540187589, 56.742793242990082, 57.038483950873328, 59.358127345244974, 60.338885766522544, 61.454579918607905, 61.563476623597779, 62.956210495367571, 64.355161335127022, 64.855598140354346, 65.048390438293239, 65.791620901270377, 69.683718786106098, 70.397080533513659, 71.36648855037474, 71.988859031595808, 72.614605968666169, 73.652992765898091, 73.757224593053323, 74.279478933034824, 74.803169659821194, 75.169272856725726, 75.247711074529406, 76.787963701311199, 77.549451916235441, 79.604628853498198, 80.057020709901806, 82.185713262717073, 82.56138797410641, 83.483538935923917, 83.734033905741626, 84.23248400523677, 84.623400385488623, 84.980939621534887, 85.47755805802781, 88.862826182652327, 89.423762010636409, 89.853039581516427, 90.869051736927887, 92.074800871593723, 93.153593214787307, 94.875754212893952, 95.635503869023466, 95.844995831175822, 97.278726257470282, 97.974520897487011, 100.42688661188669, 100.52322094452478, 100.64692050193966, 102.95466283541219, 103.1549572633246, 103.21254061362717, 103.40039751067459, 107.00049994039212, 107.25059533893395, 109.68601306097435, 110.54732694801568, 111.16120653819742, 111.21428294611212, 111.50215112156287, 112.84126108292605, 113.08858747897906, 113.7147405437109, 116.32145608411693, 120.28583385403445, 120.58540867379195, 123.23661153889323, 125.97026106712585, 126.32498540298776, 126.90891572699074, 127.99222719191047, 129.89251017111184, 130.01053363720428, 131.85262962465094, 132.39630519944441, 133.92672898650889, 134.80656265176796, 135.39592314312443, 135.72926433258331, 136.30566820123707, 136.70586751671155, 137.67961448295463, 138.29076686154173, 140.2823671894962, 140.53876061427809, 141.64905486283473, 142.11443812272532, 145.01866066730452, 145.74707772144848, 146.56558211879045, 147.74095343996689, 148.09176412157547, 149.152299703122, 150.59129494713576, 151.30582564564256, 151.57758107130687, 152.15927217538112, 152.77573506290321, 153.4317353008534, 154.59458009273726, 154.79057005092588, 154.85770750181069, 154.9653579962193, 156.45917697913004, 156.90797326724402, 156.96833343948401, 158.09241492974945, 158.47485693058925, 159.82374607999847, 159.85236283945721, 160.09265706002222, 161.36265129034931, 161.41090716155441, 162.34418076163203, 162.90150467140478, 166.03080267646072, 167.45898436926285, 170.42849068176909, 171.78225449129073, 171.902739789929, 171.9969167372183, 172.12588689191034, 174.70756073752887, 176.21896042415818, 177.49431707267183, 177.61392882123812, 177.73355698981823, 178.4014614446356, 179.49252928954743, 180.31551857402016, 184.12059213806901, 184.83711350221225, 184.86737402734096, 184.98468571595757, 185.45144759430795, 187.21818427578677, 188.19032807019019, 188.24323766155473, 190.80770211262151, 191.7376132283448, 193.39067779598815, 193.91525449836257, 195.04045597910638, 197.38336423149559, 197.61028312767036, 197.65642837932134, 197.94196886275103, 198.46387268668411, 199.39413837736191, 200.39281002156423, 201.22340886991694, 202.74669573130097, 203.24335044109063, 203.98863745585641, 205.6505561158944, 206.16716583690769, 209.28632210891649, 210.30660254769788, 210.74657896945877, 212.80050332560984, 215.93294193821342, 216.73295686262443, 221.79859296639322, 222.45686566704913, 223.55522907546663, 225.86330645685331, 227.02407179637072, 228.37507548340415, 230.85994223770447, 231.2268243712096, 231.64038578142475, 232.92789967845991, 233.55223928524796, 234.65629509425224, 234.87202696915165, 234.99254807143208, 238.79959810489717, 240.88746745655592, 242.66698947899243, 243.08982866494549, 244.07010321788829, 244.86229142376959, 248.03237053522253, 249.30499578381637, 249.51770293950639, 251.32534678095379, 251.65010409359186, 252.99065826192049, 253.16715912429441, 253.76424811945299, 254.36253696219714, 254.65425457337429, 255.67028923040505, 256.14077159195875, 258.47180910645875, 259.64482297829829, 260.58511298098603, 260.88950653378663, 262.64163397617233, 264.94556718491287, 266.55803068698089, 267.80768613943872, 269.65105170734955, 269.92221132919479, 273.32729162431281, 274.62618203318186, 274.65945843385265, 274.75853735217839, 276.52962071146499, 277.90666904685833, 278.06377513867301, 278.7428804608964, 278.84857251894942, 281.97799161378299, 282.34735939092604, 284.4126480172327, 285.93497462719415, 286.35071353447978, 286.52216165785637, 286.99701417301486, 288.6027801988879, 289.21616756700018, 290.42213302897102, 291.20996259249188, 292.1736253567197, 292.44306809030797, 292.83328276210187, 293.11841885270923, 294.41277292068145, 297.92368499095181, 297.96150069463278, 300.31206678781359, 300.46607845337627, 301.10868691698369, 301.34853859446144, 302.10333996620159, 302.17405721901218, 302.26120031406748, 302.5549966065588, 303.00132595597739, 303.75175978248996, 304.44301179786765, 304.97413417781684, 306.18222479132004, 306.77917430090241, 307.58592522159876, 308.0232331204943, 308.11926281335207, 309.6279456916929, 312.89101789012869, 314.53781627612676, 316.06616009632222, 316.84132987737195, 318.95092152536449, 320.02756629013805, 320.63739976279817, 321.14681228567929, 322.30460965050844, 322.64434795187071, 323.04779847358702, 325.39913216262664, 325.58018875315651, 326.19114593176954, 327.40618970310175, 327.54331861104009, 328.21929534946531, 329.01880853087863, 330.03229442363465, 330.08717328840839, 330.79840748381361, 331.06052580822222, 331.36457991550725, 331.85288189249917, 332.71776854629337, 334.55366273475801, 334.68799096302763, 334.89937832450926, 335.53828649462156, 337.46630822060274, 337.60644023282345, 338.10237470226991, 339.54465712276095, 340.40777391573243, 342.41039817773731, 343.42986657749083, 343.7633695594696, 344.19427298686327, 344.2978589868527, 345.14697043566827, 345.83428168497289, 346.41391394233079, 347.56759727759663, 348.84982642927315, 352.55994499859372, 354.10038147411956, 354.84970511040677, 356.50587208370888, 356.7141410193064, 358.12027264438728, 358.42735774013335, 359.07067655261682, 364.3865960873278, 364.56400031008485, 364.72510480135281, 364.94599666869533, 365.87085431787818, 366.21102560402875, 370.41037107699395, 372.22455888128803, 373.16595285495526, 373.5665174773851, 373.82034557588133, 374.94717568811012, 375.97077935752787, 376.45837320822051, 377.06137038074428, 378.49959386871581, 379.54185460362686, 380.364355804029, 380.65628636885145, 381.81661359389244, 381.87195927552193, 381.99801427625675, 382.05837807859177, 382.14635396127642, 385.45888745422604, 386.41510817055871, 387.7343382376032, 389.57866720426233, 390.02425565731158, 390.2333391951604, 391.38746368404327, 392.46794456063429, 395.86806720570542, 396.12713818154884, 396.28978228818175, 396.53484169481902, 396.84218949040127, 397.24951358345618, 397.58870255687918, 401.28880838158187, 401.53206081099853, 402.63613198389049, 403.25810149943743, 403.34412735068787, 404.62104940232763, 404.99607706647873, 405.47478029078934, 406.23339454218672, 406.53067430407873, 408.7165764967429, 411.7956309268825, 413.00060481184522, 413.35359319033677, 413.43036694744342, 413.46025670164073, 418.76143303879246, 419.61532593697598, 420.83153757918393, 421.01399319667388, 424.54161246720849, 424.77398166802732, 425.1570858645822, 425.86017409450989, 426.46912008006052, 427.14475154502867, 427.74852147447427, 428.67269643669516, 429.01914233195561, 429.46364251553166, 429.67061241301809, 431.51468956117714, 431.65327478435745, 431.84943054946513, 432.79919791954632, 434.10007954638667, 437.7964067301242, 438.28876767179185, 438.34595204318362, 439.01172092706975, 439.08790561968294, 442.03495701490999, 444.0826874974511, 446.02259680920258, 448.53666245132132, 449.22264983326778, 450.23743908289418, 450.90024749983081, 451.87144127033775, 453.45652319878923, 453.89178180352991, 456.46847644612615, 458.22248121394671, 461.12064403550994, 461.63515549574737, 462.02224504913875, 462.50224027544749, 464.68935513484132, 465.6339755301388, 466.8659398723853, 467.64880886898493, 467.86456727707099, 469.34601330939824, 469.43404406628662, 471.30604360251107, 471.5717140788999, 472.24641386675745, 472.59073079612244, 473.44078189824342, 473.85426380077502, 474.22313838093402, 475.46675357642522, 477.19305785967094, 478.17510651778809, 478.2702601960803, 478.34652958119625, 478.40592055562132, 479.04039726235555, 481.64196702297767, 482.39716515940484, 485.05812155697663, 485.67489237050728, 486.01343245611372, 486.32291159555564, 488.24192622703879, 490.34140230955529, 490.90620034302594, 492.3199305776343, 492.48360169839259, 492.57093702305332, 494.61982796481283, 494.99437232638172, 496.74876509383915, 496.84104611553954, 497.47960163320818, 497.69038861098932, 499.64360383873759, 499.90488451118659, 501.76061291918188, 502.00434688278, 502.9118093891305, 503.04069333698186, 505.48299607032072, 507.52772979926283, 507.73227336581516, 507.79666901715524, 509.04816265711389, 509.60659052432231, 510.91473662942479, 511.18528936548893, 511.41567249526167, 511.57320680192606, 514.64491996744709, 517.51397629233509, 517.63180268101894, 520.98015127226233, 522.13576478194523, 523.61838278942525, 525.59888122448172, 525.71751017143515, 529.98197908191855, 530.01613838915262, 530.09952952524998, 531.09374035537701, 531.97587131250862, 532.82701613851793, 534.16958909441621, 534.60697066257569, 537.24479793820819, 539.09640778754897, 539.54322712544263, 539.60147364337047, 541.20841570106677, 542.41876993232904, 542.56317533052027, 543.06641824189012, 543.181104063612, 543.73660602181951, 544.14554037679488, 545.00635489339288, 545.17149563943292, 545.76833516832858, 546.04774040688017, 547.50982798613006, 547.67673174539777, 547.9303023899771, 548.99912456416359, 549.51322116293011, 549.60579193018964, 549.71271855641339, 550.76082941224706, 551.22865872618172, 555.30119011706847, 558.86744838792663, 559.85565770593666, 560.38147785667695, 561.26788976989144, 561.78183909795962, 562.44138012251619, 563.1148172667688, 563.98336843311347, 564.20184928858851, 567.09564858323733, 569.30441869499782, 570.21896541779233, 571.0758146518159, 571.34182000236217, 572.18633985989879, 573.29134219510649, 573.92899589996341, 574.13744716268855, 577.50281018095529, 577.53266758794302, 577.65657103283831, 577.81407355999909, 580.10981559964239, 582.77450552736218, 582.80781837524466, 583.01309950737198, 584.70265383922936, 585.59377696698675, 586.46208647292576, 586.65672862367876, 587.13702881460256, 588.48841515391405, 590.54960949486372, 590.88174828999604, 591.94432674925963, 593.61616122389614, 594.29745875287188, 594.62476155722459, 594.65775270563779, 594.96692708409046, 595.07350855985669, 595.24261570422834, 595.74735262025581, 597.13216161203104, 597.48765578652285, 598.19702278074908, 598.65781750957069, 600.3483865849804, 602.03713413947571, 602.69194641453475, 603.49452516201507, 604.29168336183739, 604.86588568467471, 605.04906134790133, 605.48760336597445, 607.14958553731208, 607.59910133162373, 609.03268419992776, 609.42930900022998, 609.69443100555145, 611.08969234357312, 611.21108945168817, 611.85951902158649, 612.38302363174557, 612.88947490863814, 613.51680889403167, 614.14073205131797, 614.24302972194755, 616.04110508890813, 621.63380940083164, 622.02968569945415, 622.95792418736858, 624.56612041398307, 624.7326456376835, 624.85947567289213, 625.50135325085876, 626.01017654351472, 626.7439278253745, 627.29950010242817, 631.34423031929884, 631.84536524880252, 631.97670791745998, 632.02384772431662, 632.89395635846813, 633.5807850893043, 635.36163620936748, 636.11562208355008, 636.64162448188802, 636.9152521646497, 638.048683956741, 638.72271461350704, 639.33320704317066, 640.04086422958687, 640.5102355086857, 640.78572772221958, 642.00690255243262, 648.76478469755284, 650.00393304585316, 650.68559032016549, 651.8825715912069, 652.42538712273415, 653.13070059104689, 653.20290675825504, 654.71331430509611, 655.34790162413242, 655.71052871572874, 655.76884514209189, 657.47508720468306, 659.35919679200026, 660.14459628358304, 661.43525769884354, 661.7268503107565, 662.29265960104465, 662.98838710100677, 663.81881941496306, 665.42568907404541, 666.27731787041591, 666.46617179020689, 666.5878372130644, 666.68969749299674, 669.23390664857391, 669.68534311958376, 670.63427194408598, 672.86470451489788, 675.5569841832272, 675.69119778435049, 677.55291366965218, 677.93790722214226, 678.21285760378476, 678.43502927761938, 678.67859435998412, 680.7060438574423, 681.06440468374308, 681.28038879994517, 682.04344402287086, 682.13802612159714, 682.87573564016361, 683.5688062234492, 686.05192332316619, 686.1323918511722, 686.77442490177839, 687.26646471692254, 687.42689760731923, 688.89667918007046, 689.90774046494641, 690.14473466738013, 691.29257437354534, 691.32076012143352, 692.96222107124004, 693.63081643610008, 694.56138346860075, 695.39961908743135, 696.2246522837354, 696.98971883227125, 698.04459480920605, 698.94042516873117, 699.33076960002245, 700.37726302294891, 700.71403173767976, 701.73629171864218, 703.65462584969453, 705.07751771341634, 705.09924295813926, 706.49014813226052, 708.23008260871495, 708.4892193730966, 709.40588678054189, 710.22006490691331, 710.30131630591779, 710.61405260806816, 711.52821404932729, 712.32858471691918, 713.79744174974326, 715.38827154086061, 715.62905117734658, 715.76837300233115, 715.85953937791237, 718.3163645019464, 719.03080839710447, 719.40521222313464, 720.39895238310032, 721.52184002106958, 723.77989571153068, 725.50308908131251, 727.6557102525627, 727.7279302908496, 729.26792943548139, 732.5885207476075, 734.42651273333024, 740.31788618186761, 745.36210220145722, 746.16783947619842, 748.33558865586258, 750.8642847574323, 751.17076464536262, 752.70784813179932, 752.75821650917817, 756.2294977970472, 757.25874308569496, 757.62395545141192, 758.17716981343483, 758.21619903302883, 758.3916617984828, 759.40527130431235, 760.14125345398884, 760.67517288481793, 761.66024242002015, 762.07268312929739, 763.5000534080433, 764.21681324650922, 764.9832231586746, 765.72899069548328, 766.10820496421138, 766.46625420699149, 768.66013613572989, 770.50606781108331, 770.79010119410304, 771.06629752180379, 771.81729534365297, 773.11102738724674, 774.34346199827314, 775.10469758771967, 775.57815003889471, 777.84154065218843, 778.08145515061335, 779.21079558023177, 780.16578780398731, 784.79358895304006, 787.68073419615382, 788.65938037732997, 790.53175472479109, 791.24481047540826, 791.88198382583164, 791.90301467614574, 794.05558845458177, 797.02918062620097, 798.12782886526725, 798.36376085558004, 799.93846210346237, 800.37697524399607, 802.35208470786904, 803.93237237375524, 807.28424264517014, 807.62241475499343, 809.2628410409551, 809.46724439380034, 814.47766980970346, 814.70964143770539, 815.33263194206563, 816.116758919581, 817.45520416259853, 817.97823919623863, 818.44314715592259, 819.75205659539051, 820.1282206529379, 820.56621818770577, 822.57850305651334, 823.56128552227119, 823.70241103910962, 825.52792013087674, 826.85854954196702, 827.9069013720183, 828.64647557507374, 829.327106927312, 829.51423128118006, 830.37899086339166, 830.56997659459375, 831.55054485644223, 834.28867807117956, 834.92185176660325, 835.00278806452161, 835.04749189563779, 835.78346718647299, 837.15296888614102, 839.25392799277074, 839.98508356739092, 840.9982090232163, 842.01115989144762, 843.37022550546658, 844.61931273248047, 845.72536582560849, 846.58522299809385, 846.82358254767439, 850.11517357253967, 851.82421066618133, 852.12195732763848, 853.79284822605746, 854.31570061503623, 856.45839549413517, 857.02865458816143, 857.20551665470646, 857.3139947229671, 858.12401232481636, 859.26713373135351, 859.58415115305149, 861.63748034991613, 862.16424785923778, 864.11515489624514, 864.3455490270901, 865.88416741854007, 867.48188016397057, 868.08099558729634, 868.43552156804594, 868.77266596262052, 869.68036618514975, 870.15043115347567, 870.47602055025811, 870.99704741455071, 871.13429226134474, 871.87508836904237, 872.48040680141105, 874.28391856454721, 876.85038697941934, 878.08079764311822, 879.58926455762128, 880.08507048997706, 880.17680690654367, 880.88773539380486, 883.01845503935533, 884.16275520235183, 886.04667321845318, 887.37812494205502, 888.12674150661769, 888.29606436369136, 888.41230790634984, 889.08666101939264, 890.82390762610339, 891.20596421844425, 891.99729633200047, 892.33115339421579, 895.12519896407628, 895.35083632228987, 896.44130612204731, 897.59882893258566, 898.48576400803074, 898.5848431038346, 899.03336691997595, 900.13821556552205, 901.49889159186921, 902.12052015688107, 902.16671261943316, 903.01705382768637, 906.49380384042206, 907.04312554050921, 907.07235476510027, 908.55560802537821, 909.26881232596372, 909.47337647832853, 909.95974974468504, 910.73364401187575, 911.28249361137523, 913.87165172094979, 914.78685921744011, 915.42664609123801, 915.76516685178456, 916.57336907375134, 919.80432161522253, 920.60689489472304, 922.42290535102939, 922.66560115428638, 923.40820703107659, 923.67420415325068, 923.83837438400838, 924.19453735660193, 925.48469043133196, 926.40394496264207, 926.81152783627022, 927.11883095284634, 927.20331203894489, 927.96578880320635, 928.14277029986329, 928.57574079885626, 930.09341615478297, 931.56259439636187, 932.45293785261686, 932.71896725470162, 934.30273882841539, 936.01047932790732, 936.93919404628673, 937.17243457510597, 937.4587433430014, 938.23336527504887, 940.10055540957899, 940.16457676722382, 941.4559069130836, 944.03611403883951, 945.46536586119703, 946.16251601549095, 946.36610969631613, 947.15064010468882, 947.31287488363455, 947.39949649493951, 948.01958180753979, 948.57507565322589, 950.096836206332, 950.26505102390092, 950.81947182596866, 951.9992180985231, 953.41402001588926, 953.64088488248422, 954.09390153675292, 954.74993979676719, 955.83548957614755, 956.5450857219497, 957.79964400188874, 959.27596147219583, 959.49926740013291, 961.68743193089324, 961.73057750354451, 961.79569326959881, 964.77407014198081, 966.46099039246383, 970.76125746777154, 972.24984711979698, 973.257629700606, 973.35836786622906, 973.70752633914026, 974.68386014626856, 977.61414284001751, 977.95408243621091, 978.25069886852054, 978.94240446072911, 979.33265687266737, 979.59541909758025, 979.78226645961365, 980.17264166616872, 980.8833621690967, 982.2132289053659, 982.42324354114976, 982.79246284959493, 982.88104125334371, 983.38572946033435, 985.1338221433042, 985.99627575283932, 986.74813099501887, 987.52302496356253, 989.42134355440191, 990.49874656336124, 993.08863389801843, 994.10666047231803, 994.44602618649424, 995.33699422041207, 995.7572724072561, 996.11329159748675, 997.97845548108569, 999.02933053761126, 999.32099961907943, 1001.6841537834299]),array([2.3662779593770167, 2.6732217035251447, 3.1199991113072665, 3.9022904361827502, 4.5433465355685358, 6.3036740339953719, 6.6748216799290399, 8.2806976808162389, 8.7428234138336105, 14.513671262360717, 15.046907066477198, 15.179356834465832, 15.338218315255792, 16.308514364130666, 17.103860242673555, 17.32936451690253, 17.843412277983401, 20.246731541009165, 20.481837147946049, 20.821331237700075, 21.939998232792657, 23.378357453002923, 25.481112302321588, 25.517369028712551, 26.05904900395528, 27.79647498763099, 28.085335879915725, 29.439009836488555, 29.785958476691192, 29.916462991011986, 30.088802695475778, 32.352050624695046, 32.960961884444423, 33.397534503888153, 33.576655316235566, 33.79722568043448, 34.175493987539873, 34.791797028523888, 34.930689316283306, 35.587140931424045, 37.764786770841546, 39.639427476425233, 40.707559375546289, 42.65277114763272, 43.099844551290815, 44.019169800999698, 44.917701734224728, 45.699992753248736, 46.956381921192552, 47.144932046649288, 47.510648255442476, 48.081878684710965, 48.853094189857231, 49.443911194556179, 49.60827974800501, 50.69428730373987, 50.731362042035421, 54.439675446429604, 55.563593463129884, 57.968185063183121, 58.210010324573098, 58.443976948546393, 58.525039047675712, 59.897899942358528, 61.525315586883778, 61.657156130460741, 62.609610880662501, 63.171849937816084, 63.205360278444829, 63.651485426750781, 64.207205036235209, 65.518751435461567, 65.764841574381251, 68.316452842812154, 69.673571246333694, 69.757747858963853, 70.563540067688393, 70.960175351975323, 72.30841597710338, 75.399837850902159, 75.608624055763286, 76.372142983878291, 79.278324056295673, 81.328233912377939, 85.62464312617098, 88.807716849927886, 90.213268606535507, 91.278062846234718, 91.639411887174759, 92.416368041185564, 95.813887261814401, 102.14789240760317, 102.18971446428314, 105.47530132486943, 105.71115053498625, 106.20965542974484, 106.360901436421, 107.83427735787839, 107.99275362842562, 110.04076842388217, 111.18899865683596, 113.45295303670034, 114.80775683539657, 117.42701167165004, 117.88850349006786, 118.5121291290428, 119.19947361254027, 120.22568227826486, 120.34647237606401, 120.81611700713498, 121.50499713022377, 121.56517885050114, 121.5965550438307, 121.83828341806435, 122.07104600370536, 122.32202506585669, 124.77325836816792, 126.16567905503122, 128.70309654776685, 129.17654127045085, 130.18584611950311, 134.47464350128442, 134.8345951245195, 136.15141054676636, 138.01208678014737, 139.0169170443572, 139.81613459121689, 142.74337031419691, 143.12108546777779, 143.6384956682877, 144.26672555991712, 144.62900126426587, 145.91556721725721, 147.22342440791627, 148.84963587238855, 149.62354478601753, 149.68302497229968, 153.25753656821084, 153.66515756915246, 155.66314813715977, 156.45325551818561, 156.92166687382456, 157.55416654564678, 158.28063034193181, 158.4021378749103, 158.56259500919103, 158.84613512491558, 159.43624890353996, 160.56376037899764, 161.54601322989075, 161.96352174409506, 162.26472995459017, 162.39559193972505, 163.33177366890087, 164.90741510003329, 167.12170194686192, 167.22501550674136, 167.63004676950445, 169.16240132129252, 169.71097523698069, 170.03859093415934, 170.13295286492541, 171.10304643028391, 171.29790804269248, 172.7283759033453, 172.83095953859618, 179.45567997988928, 179.87171566413957, 180.05318807718024, 181.32659553021065, 182.40192156941879, 183.73547247079566, 183.81347070951765, 184.27921051310199, 186.14070645990057, 189.28702549854998, 189.88360548714874, 190.31831947619403, 192.64284248449067, 192.97253659962212, 194.40830431910507, 196.61279196269282, 197.2312490938823, 197.62750531265777, 198.87160482496773, 200.01929589116858, 200.59005745060401, 202.5309423098476, 203.08195894425469, 203.21944156722188, 203.77961606056971, 208.36387182760166, 208.56254534182744, 208.6838607000056, 209.54231501315493, 210.50314350714547, 212.95701166427182, 215.18695942131023, 215.58311776675382, 215.62356346010455, 216.02869605347385, 217.08337437279889, 219.43652289169077, 219.99671969257059, 221.44304571486461, 222.03489464149547, 223.43035422253371, 223.52524971841436, 224.30182853397801, 225.11870262580075, 226.66152624474992, 228.26600405053668, 228.46659874884446, 228.67431465515114, 228.75757855236495, 230.15203022651374, 230.88143733516347, 231.19651126068982, 231.84015801401566, 232.10246724448353, 233.6364987373446, 233.89027287926967, 234.06928956942372, 234.6459488986732, 234.83560083203631, 234.95895693621884, 237.83403759285201, 237.97234165356414, 238.81244705331679, 240.74708646608195, 241.3317882255528, 241.79516382363502, 242.38250513150396, 242.92429635674981, 243.38442919295488, 244.98371518845605, 245.36702223564754, 246.95288374090268, 247.06548158733949, 247.24695590032817, 248.33296651956994, 249.36011510051003, 251.60351710226351, 252.52595848295263, 254.36106375869741, 255.19936387353584, 255.32025949259702, 255.58193236286752, 256.95718470161785, 257.15605536939734, 259.79535649919251, 260.83619411550194, 261.78246185101517, 261.87295885041374, 266.36798508841974, 266.43574625790654, 266.49001535182731, 268.17992270460076, 268.31692054233696, 269.08990876117059, 269.11037279738377, 270.85344587803456, 274.56202122538087, 277.00551323493016, 277.72579864183649, 279.49915695978376, 280.45145631874897, 281.23455280226784, 281.3102718503373, 282.87863529749683, 283.10756423694789, 284.27704166576871, 284.69212065097298, 284.95983785715288, 285.15844354704137, 286.2187936223545, 287.8810037969202, 288.38937545568365, 291.19971645862239, 291.65018645590419, 292.53871032945841, 296.47561829359245, 299.1675761099122, 299.77543871124124, 300.99005048574298, 301.97832777455852, 302.07176560974671, 304.92663675427417, 307.53195205677491, 307.97444417439993, 308.40811569438523, 309.07044507772935, 309.58985484076953, 310.21024836426045, 311.53746984055272, 312.12747620245909, 312.91870331877516, 313.81990377958164, 315.01822144170336, 315.5067928895603, 318.99198781342568, 320.29945409820186, 320.41424913658943, 322.69437114643017, 322.98693373931599, 323.06134816676962, 323.45475634062558, 325.58993550028913, 329.0475006976713, 329.71136311119517, 329.81655247316417, 330.55629820719969, 330.8290711929352, 332.73065208431319, 333.68063174077491, 334.11383034320886, 334.59359877805548, 334.7672602230092, 335.97783524636856, 336.12229867028162, 336.70718818882358, 336.96629281393007, 338.35711519239186, 338.69788949636404, 339.97748051062268, 340.57694970498397, 341.01694590762702, 341.3907241234844, 341.56829605739102, 342.12913546596911, 343.53369856664324, 345.6826420679248, 346.29461268308773, 346.56454129955813, 347.01178228921572, 348.22142789597098, 349.71869478126979, 351.45205401991529, 352.67823347129672, 354.80140756313699, 356.82157051032345, 356.9663743811218, 357.80561804903749, 358.26709979868696, 360.83032107349209, 361.00175952230222, 361.75101603798845, 362.17105361556224, 362.51256852254295, 363.38807323981331, 363.92826068683854, 363.9853801782981, 364.41611456063794, 365.00097089926999, 365.74670965854455, 367.87152859914858, 369.25464153065872, 369.91202561694104, 370.1426961377025, 370.16725602983013, 371.59907267823888, 374.38836717937482, 375.16740907561922, 376.07012840296505, 376.12080954540784, 377.28202927071976, 377.34250739967251, 377.45484604967777, 377.52280221707616, 380.39220199612504, 381.03773521902013, 381.76532267764861, 383.65963515982088, 383.69566287830861, 384.11214559535131, 385.73973415884734, 386.02042359937951, 387.18358761783855, 387.70212303039284, 391.51980389608474, 393.34790018721662, 394.1824792759304, 395.80657922455993, 396.26222836215788, 397.3671059746556, 398.74793997924502, 400.49392848488441, 400.63445452648415, 401.35244467251715, 401.49647106898027, 401.8508271246896, 402.58365137969139, 403.81440523524356, 407.54571743922139, 407.70714250261523, 407.9816093224415, 408.26186082550328, 409.66698853735443, 412.41695815295162, 412.73769800722812, 413.0772499700895, 413.17750284441581, 413.27185083194632, 415.55772825677457, 415.76261665351052, 417.70937377311145, 418.20520234406666, 419.46602229705422, 420.2906808121752, 421.61188268781939, 422.60641497438212, 423.44078952158407, 423.70886551004082, 424.18915016256102, 424.58690770174405, 425.88677007925833, 426.12470261680556, 427.36772509076206, 427.47244655075951, 427.70598166746976, 429.19653652594747, 429.40512732773897, 430.27586503238456, 431.30028891101205, 431.8456723717083, 432.50860464169568, 432.94922445622831, 433.01485185164864, 435.56433686661717, 436.76769931838112, 437.2316610468572, 438.07756332075064, 438.38630084308858, 438.49944175229922, 440.15235888048335, 440.44343269755251, 442.60113120996652, 444.37552135084081, 444.45178690638022, 444.57278004298462, 445.41320443962309, 446.5791545834357, 447.61882304791123, 449.47815322308571, 449.72337286922919, 450.31878342282897, 450.53601103187782, 451.23615641577874, 452.28288226773037, 452.58616574558027, 453.29389105922394, 455.06272075787638, 455.55240458963311, 455.81867558252316, 457.19049596232634, 459.18609795408008, 459.40494531754331, 459.65835343393002, 460.21086603199842, 460.72528656895281, 463.80951600587122, 464.51237161781529, 467.0159184468327, 467.03998612017011, 467.53172620980098, 467.6290133189483, 467.90961413950907, 469.90078661720383, 471.77804657297156, 471.9021271606527, 472.96836979205955, 473.29314287129574, 473.41412142000308, 474.71795179548246, 475.67108557385654, 476.88171321921749, 478.38588971406415, 478.81121599495731, 479.59776251476319, 480.09341573217313, 480.80748872235552, 481.0559666092945, 485.11416348393448, 487.93865513482996, 488.17736781702598, 488.99407617272789, 490.43014808521173, 491.47672234590192, 491.92904437216743, 492.05652939620859, 493.63046106700227, 494.92984040226435, 496.89448825056701, 499.17210241117613, 499.56538668869524, 500.29466633142994, 500.7957182122484, 503.05128027633941, 503.12753985878493, 503.29886924420015, 504.80820026938227, 505.75625492268091, 506.76385901948998, 507.25020180349645, 507.67922604683827, 508.24073808931678, 508.30834037893931, 508.93963830935644, 509.62509272335063, 513.45918576456438, 516.4083275809578, 516.87508009466308, 517.48953355635524, 519.0493246821477, 519.92856318329666, 521.01880005991563, 521.05740240559044, 523.83034473912301, 524.79732029533568, 526.4407341043169, 526.93324175495445, 530.94333438409524, 530.96850163777503, 532.09439974572842, 532.26864444660021, 533.36898392413025, 535.85571049357702, 535.96229814437243, 536.51318397741568, 536.57639439880631, 536.716652746872, 538.32049627051299, 538.36369532917115, 539.11838169741998, 539.4076733928398, 540.10339559796978, 541.67761977646705, 543.46919674844821, 545.05051009135059, 546.72534351237721, 548.29218814806393, 548.49588835736847, 549.88096680023591, 553.09691711229345, 553.17795504734181, 554.54366605723396, 555.35446179308497, 556.20121679933789, 558.77942075915848, 560.58565802140981, 562.88605984238473, 563.25197648498249, 563.78990675588477, 566.107200711583, 566.51685784159133, 569.33346837233887, 569.54785213058062, 570.08135537137878, 570.79310023399023, 573.33370136088399, 573.72649627865019, 574.50138066200634, 575.58356757088472, 575.88741982682814, 578.146737526214, 578.8676385709972, 579.02080871755436, 579.82707848634539, 580.15314210357201, 583.93741421637469, 585.94923627602543, 586.21450240811373, 586.80378768708465, 588.43223355721636, 589.33404517474776, 592.01684366046754, 593.77891140256634, 594.35538012358529, 596.19480651793845, 596.62815885635507, 597.35528400305179, 598.21121168934326, 598.57936810746799, 599.63857661125724, 600.82275129392031, 605.44794719452545, 605.49829214531292, 606.87005567176629, 607.66718739826922, 609.15392709263165, 613.72662501937782, 614.01406083743734, 614.86727230326471, 615.14351457023747, 615.43772764568439, 616.65981810616904, 617.94085178546118, 618.13662621131289, 620.71600835695961, 620.93689695707496, 621.35618132019567, 622.31102538513221, 622.3752770167639, 623.0915328612042, 623.66048735594563, 624.77833118411104, 626.06107965329045, 626.49241981213197, 627.36897558379417, 628.09918209030388, 629.0588000088585, 629.60179143196228, 630.23062393808959, 631.42805186541898, 633.27679631875276, 634.07876884465338, 634.39167904203305, 636.0622854634646, 637.39320215114208, 638.99388594462289, 639.71982171284537, 640.03915773086374, 640.10362575664021, 640.26840791250061, 641.94132561780225, 641.96381636908291, 643.87090306363473, 644.03202249819935, 645.84032510850602, 646.59298669321095, 649.18110633902336, 649.70844136381652, 651.80096770527859, 652.03440446181048, 652.09914045650714, 652.19523003430402, 652.48065649504372, 653.76130462378035, 653.8931632441903, 654.21736817042438, 655.43559015258484, 656.31184916061693, 658.54333115036582, 659.30168787630987, 659.81951714347019, 661.05727743289026, 664.69594249992815, 665.06425630109607, 665.52198583150584, 665.74050041716941, 666.00499109888142, 666.02799742039963, 666.34307716253352, 668.8741521365838, 669.29025396016016, 670.47163443881914, 674.39838835765511, 675.26056641067692, 678.27356219083288, 679.18982832787128, 682.92987459926064, 683.95826228168778, 685.8137252734424, 686.6954334854662, 688.06002354268378, 688.17865432804479, 688.89432945017234, 689.34280012340651, 689.64101069365051, 689.86690301633598, 691.41597806510379, 691.49480216084703, 692.30965886857712, 695.26144955872121, 696.62765141532634, 698.36169369784034, 698.48342815174772, 699.78900242660166, 700.18732875685737, 700.70267266549081, 700.8299888391582, 702.04569129701076, 702.48083298752977, 702.97961429000839, 703.5171973370949, 703.78686506684528, 704.36061787029928, 704.69977522616239, 705.2575764819552, 705.59671267342492, 706.79727712927991, 706.88710240338139, 707.45946600626758, 707.87448990065752, 708.48027982433518, 709.52043325500995, 710.4139533330914, 711.34126735827397, 711.4477105051875, 711.80924654328339, 715.91915181376851, 716.98546007234961, 717.28195047700262, 718.6497663508834, 719.14008147801792, 722.4106562609561, 722.72490163988539, 723.47004017987206, 725.18999366236824, 725.66136658343794, 729.14104305789203, 730.2088753729256, 730.93874429731977, 731.66238892941817, 732.23569729360111, 732.79436477742308, 734.62462294780448, 734.91982819150724, 736.80676181664842, 736.88824254846998, 737.52694882746232, 737.73205304381338, 738.87254881327635, 741.71659607218362, 741.89577997970332, 742.20130101713801, 746.20019644514025, 746.29352646586722, 749.01904771054399, 749.27390511728811, 749.84303266526842, 750.05673580551786, 750.59683177764532, 750.62641641941661, 752.25417683410649, 752.33926295077299, 753.19583848490515, 753.93181171943741, 754.51603424793291, 754.69472973980305, 755.07088602860733, 756.13018173391436, 756.33267164487211, 756.96784385117166, 758.15923265922413, 758.79016971017597, 760.59534661208272, 760.80236993143387, 761.60250411621303, 762.34443110309428, 762.42453404561718, 763.24211606710492, 765.51690920280112, 768.59501811835753, 771.38030339114005, 771.815682680691, 772.47462896282241, 773.36156430351502, 773.55358434668426, 774.46157962068003, 775.11828162030645, 776.58008585455775, 779.04154285933782, 779.28336145845174, 779.35652019865609, 779.85139954885551, 781.6439300230445, 782.75755709413659, 782.93304368334179, 783.88786428234391, 784.67335072477147, 784.92039247049286, 786.03634354625694, 786.89421133716598, 787.74043434514317, 789.79825805393773, 790.72476682701154, 790.87727866983607, 792.50107965131588, 792.98619630232997, 794.19844537609913, 794.80591352986346, 794.99352401852832, 795.20835469403664, 795.91174035750328, 796.3267840708744, 798.93941963591317, 799.09615541454173, 801.72094673514607, 803.03245683196724, 803.0845480989592, 805.43300843453244, 806.94366404324091, 807.65776458852486, 808.69806340675802, 809.16502832904405, 809.20106938899528, 810.29927274825411, 811.79814576486365, 813.32283051235117, 817.13939735743736, 817.64553735162428, 818.53796269225609, 819.01793847154011, 819.10589614613752, 819.5468006598843, 819.81026110785217, 820.00840900372771, 820.65253082890047, 821.90083767863098, 825.29933024090406, 825.6646730935023, 827.33387385825483, 827.61149647810373, 830.17734383810659, 830.19865421999418, 830.30310479477203, 830.90460668439198, 831.66248770270681, 832.19420194977306, 832.8099479877535, 832.97676845692013, 833.67264377331446, 833.98863933348582, 834.15907651259317, 834.91468565088337, 837.9529966307781, 840.09740613846191, 842.22373866966996, 843.42017900306894, 845.76096711264199, 846.32293061655571, 847.13579826762634, 847.39447355179004, 847.5226315192009, 850.54474575932761, 851.61195897731977, 853.76215840642294, 856.05098428215933, 856.30932715589563, 856.35709721882631, 857.61810551403164, 859.35291313514676, 860.31454473431506, 862.79522494924049, 864.40835785480613, 864.70419831802974, 864.73120106594922, 864.77411582895627, 864.86444414305879, 864.9330444161244, 866.19970391520894, 866.68720297493564, 867.50834556765142, 868.50551498466064, 871.21384969460951, 873.4196169696155, 873.60341099473146, 874.24265632149752, 875.38163215434611, 875.75143819457719, 879.91612928922177, 882.522778541653, 883.22413263885915, 893.86740405544401, 896.56511163937034, 898.34540452666363, 898.45843044123023, 899.16628471334707, 899.61567582943405, 899.67993778710604, 902.71549639534737, 902.83885651393643, 902.95249306975393, 903.05881007214066, 903.52916341256275, 904.40093241724003, 904.47599148403117, 904.6028273740734, 909.27900839178471, 909.51817597837032, 910.71709355038774, 915.53812699936975, 915.570848053031, 915.66454988896896, 916.1751895384906, 918.54251275352942, 921.05370890957295, 921.80534917607781, 922.17271338663909, 923.49173361994269, 925.03252614100268, 926.06125340392555, 926.56749613462489, 928.71164490414117, 929.20842286206187, 929.52117255972439, 929.6394159419533, 930.00215306648909, 930.18574621690959, 932.40307487343739, 933.42391299647898, 934.43086220684279, 934.81786260772867, 935.99755680599742, 936.47244693634377, 937.85366530609474, 938.03698696216384, 938.9166098945667, 940.88495987616875, 941.31333615061419, 941.87883386497163, 943.55552851222672, 944.506359640131, 944.98666046654625, 947.1162996231966, 948.36841942132355, 949.15936197493625, 949.56043476096158, 950.32903899610665, 950.94442610831697, 951.35724300261813, 952.20631757477827, 954.297309723794, 954.41828209331425, 954.59884111602094, 955.65580528585122, 960.40952219187545, 962.27196483770103, 963.03931919242564, 963.29981763131309, 964.85145295708082, 969.42687859393232, 970.25573611549964, 971.32310536148702, 972.35136852428025, 973.85903227441304, 973.99916760317478, 974.2217088966072, 974.41517531874399, 974.74194762056015, 975.96206822052397, 977.41834746002701, 977.63754224663387, 978.13293059091802, 979.45040514542882, 984.70429350160873, 984.78449850215588, 987.51615014095455, 987.67789679760529, 988.27899746916034, 989.83146738389394, 993.25748519681156, 995.84298413269892, 997.4633522741608, 997.90823279982283, 998.16830376047994, 1000.1775712163403]),array([61.998604272777754, 62.74838345755348, 63.588898422244498, 72.004371346839676, 73.138924337416853, 74.617427119419887, 76.13693891406426, 76.760923796273929, 81.820035478595315, 81.956295269430854, 82.561522550604593, 83.285912438156373, 83.646398603472804, 84.618092107043964, 86.045531972861596, 88.062995643013409, 89.003797561337521, 89.966375238178827, 90.56870657673727, 91.637587245831483, 92.60550912866313, 92.629584350110505, 93.27846987833199, 93.84147513388065, 94.190618057688752, 95.093514050989313, 99.451207728969749, 99.904520359629728, 100.26787315240216, 100.87210158901409, 101.54988301317788, 103.03903092825006, 103.10020732595288, 103.8123983390975, 105.82000282771094, 107.76847460622074, 110.21649626054982, 111.28342590576557, 112.06799181241249, 116.52049759271067, 121.53889185070722, 121.98932519240148, 122.55378221569889, 126.68760380651568, 126.75250070896422, 127.53418921879609, 128.32613146228601, 129.78779057189234, 131.50474116816895, 132.90554117484805, 133.15476799462505, 134.94257381191602, 135.03154947377402, 135.43238550387645, 135.76832681469449, 137.57243606299306, 138.78939428524157, 140.16113447944818, 142.15832306147806, 145.18444181363051, 146.15241163629739, 148.89140072187769, 149.43064461192319, 151.0056974269848, 151.13295656568727, 151.88193525485167, 152.12210749197476, 153.10888947989474, 155.49100721837897, 156.29921558093577, 157.19609823716155, 157.96724646579764, 159.06269045321062, 159.92087720224393, 160.03428870827241, 160.06158150664984, 162.25088371758829, 162.94207103681634, 164.25700323332353, 164.95912895732837, 165.02114437991523, 168.49600702945997, 169.44116536449445, 170.86444040324301, 171.02956924812395, 172.08910011425186, 173.84661428030162, 173.97183238439976, 176.27434455454093, 176.81163445073793, 177.39850456910307, 178.3182112707008, 179.49360091870727, 180.5706105521555, 182.9792879678007, 183.34278349800462, 184.31674705529767, 184.5244772151799, 186.34957867336391, 186.9444740207214, 187.98040922418818, 188.65569659956591, 189.17812273637801, 189.88749020896478, 190.19268258117907, 190.99347672299868, 191.27604704938494, 191.35831968834171, 192.17126956194886, 192.88928967134055, 194.01328712538168, 196.60370055642434, 197.45515967084731, 198.22983082521139, 198.8191893049902, 202.07186129986829, 204.16737138838414, 205.46766586149957, 206.76632750592901, 207.74367681724985, 209.14615558452192, 209.27728003928925, 209.81947938719603, 209.96881895813246, 209.99698587150138, 210.02443283574618, 210.96975834824499, 213.36273813892436, 214.00072386769412, 214.65338186879157, 215.13465425044186, 218.44609043476618, 219.55615767267406, 219.64802841809907, 223.76680767963066, 225.89600275448032, 229.01491100951492, 230.42869684100637, 231.92056995978882, 231.94376757103444, 232.23435162707688, 232.835696817111, 233.02288582230372, 234.68795924597805, 235.33421498005276, 237.70318379546711, 237.75060991766324, 238.31511586730537, 238.42010989085901, 238.75138555985848, 239.10755544971278, 239.75685502136719, 241.76892377988779, 242.02919534983886, 242.05435036004863, 243.83117875238847, 244.31299236978316, 246.20040906319741, 246.56255931400085, 246.96020821014756, 247.25196833801579, 247.33162869815837, 250.47972670929053, 252.26821702652438, 253.46788189527092, 253.51465682267198, 253.61158216705874, 253.63565530218227, 256.01402015618055, 256.36990586123716, 258.4179030749479, 258.54860801536978, 259.62206151009889, 260.78059226921073, 263.35538552476481, 263.51004391326074, 264.56596850574385, 264.65274919027689, 264.92826981534051, 266.39156495958014, 268.3854231787268, 270.45444624518018, 273.86615624809383, 274.40547038821921, 274.69672902137097, 277.40403717504489, 277.57816852453482, 278.8965050434258, 279.37241246606879, 281.1079682744105, 281.55117285196025, 282.01600914847279, 282.65505823340038, 284.45704969450975, 285.03381643578126, 285.98144215454352, 286.55217102257694, 287.54958001716295, 289.43549887910302, 289.96111465312595, 292.86462173778449, 297.60939031572633, 299.07071755091226, 299.64280998828923, 299.93796549863697, 300.63960410955883, 301.11852991318125, 301.70016911693466, 303.8612713653805, 305.13977127675395, 306.72267606545148, 306.86147081380875, 306.9323678812728, 308.03803286103459, 310.12604598849481, 311.47392141129308, 312.20253039738412, 312.23120129195064, 313.3701275017595, 313.88403084607512, 315.92086383646881, 321.53647103460895, 321.89893388532806, 322.9075885371156, 323.08460863249024, 323.87505481706091, 324.34333515690327, 326.46791754759909, 328.64648730773388, 329.09012066586536, 331.87081264808432, 331.94668743351451, 332.80333174243265, 334.02857512570756, 334.18395585742445, 336.95375983652292, 337.51307809050013, 338.28342246995095, 339.35534833422105, 339.54893892140637, 341.37570495125431, 341.62114139390849, 341.66043079737352, 345.01881777722383, 346.20856266132938, 346.37118525968231, 347.54059777113986, 350.05540064428828, 351.63650691655818, 352.4083366459588, 353.41003670797261, 356.5870151381489, 357.83859397049747, 357.98631902110697, 360.1173506859966, 360.23617433908839, 361.11122036033362, 362.41628827884955, 365.97692085454611, 366.20873303774567, 366.5861969468142, 367.10192182189979, 368.30947481290673, 368.43520649885392, 368.86345310793047, 368.92284447831133, 370.60773454815035, 375.95395609432961, 377.07864888876406, 378.07903611931363, 378.81738970691157, 379.4862798726449, 380.39890543937895, 382.09142274050066, 382.27779149223824, 383.41946766914941, 384.26039374952217, 386.863195286571, 387.30216048253385, 387.54708217278034, 387.74339089729773, 388.56542363035732, 389.22794711204097, 389.49145876308211, 389.51972730242733, 390.58191552817794, 391.35995994742638, 391.5746426067081, 392.14013396303062, 392.86510195350991, 395.09914565475486, 395.29534101726659, 397.50391685673179, 400.35152365457384, 403.40797567326376, 404.23551871582094, 405.29762805458154, 405.38277037751214, 405.5294546755415, 405.76733549088209, 406.52609894605501, 412.90576613195805, 415.11887119029944, 415.50768848040707, 415.6950543282374, 416.38140942126051, 416.58621733079349, 416.90458711512593, 419.93404323553244, 420.26655028046974, 420.57505158214599, 421.07117240194265, 421.68443974609761, 426.23273582111858, 427.46355780546281, 428.95214849667917, 429.7235954605199, 432.15488383307996, 435.6685821170135, 436.10637828355721, 436.34527773660517, 436.63592139405426, 437.44692136991489, 438.71745646367276, 440.46740093197769, 441.37504736454935, 441.7203979451703, 442.18048650996468, 442.74724239412143, 443.13963420140146, 443.46673466110792, 443.75639505486242, 445.81270054282965, 446.19039434098852, 446.50430058792222, 446.71475513370694, 447.28410420960068, 447.98517709565124, 448.86411811394208, 452.12046971456238, 453.49644245402914, 454.0658979568733, 454.73693698623373, 456.97624380720549, 457.16424720811511, 459.74076904834197, 459.86637715045612, 461.62231491462461, 465.77117401264098, 466.47652484987401, 467.1097725798225, 468.05142122388497, 469.47846544409418, 469.69248847648527, 470.16207021550105, 472.79688660052739, 475.75486235076272, 476.36456576223623, 477.75480729055181, 478.58879854421906, 479.26963125623803, 480.05231913455333, 480.91876316098239, 483.18740162456083, 483.66947882271825, 483.91150980275637, 485.02033616327668, 485.42074781233737, 486.32194065827156, 487.89901497002649, 489.62134153759445, 491.10713022166476, 491.477324584634, 491.70588993832359, 492.90240811033573, 493.37204420668598, 493.60923386012581, 493.79622509037404, 497.28457260778595, 497.41281220324242, 497.78212542449552, 498.59058254994449, 501.79470221667179, 503.87370427463702, 505.1578229783936, 505.43742760051401, 505.5400063477577, 506.46176587117969, 509.64309261889616, 510.81879013576946, 513.0812832910816, 514.44500835161784, 516.86931365974738, 517.556199989471, 518.29990951610932, 518.71816702907552, 520.96879400964474, 522.55657157265011, 523.59839145762976, 525.66281322850443, 528.1097562783616, 528.41571064046559, 529.04645772801496, 529.51380437661226, 531.59413770439676, 533.55673505245591, 534.06017181247478, 534.61310222262023, 537.60639930683089, 537.82329275097857, 538.53868589199976, 538.81826063793255, 539.49640499904513, 541.24841088946164, 541.85711474858908, 542.54740782505564, 542.92853937314555, 543.76710459152673, 543.97074502690066, 544.6254030962906, 546.22935276308692, 546.32427057712061, 546.54733208532434, 548.92993208267842, 549.41222286118682, 549.89537844593281, 550.05113057543281, 553.25069127417134, 554.9382777182575, 555.42806561427096, 555.83193541525065, 557.26829647637533, 558.51566883196051, 559.85840067751042, 560.17364850503054, 560.32988256663884, 561.19953571037706, 561.46857882250572, 562.38536203932301, 565.02153885127711, 565.8733525304433, 567.34388037390272, 567.76753092140564, 568.72280234642471, 569.38007257650099, 569.46348656517762, 570.25939636150849, 570.95492219450955, 571.70839059800744, 572.6735035416167, 572.85306102750303, 576.07933721376435, 577.1916064143968, 577.87987190031185, 577.9257884307824, 578.34309567238427, 578.85526119476685, 580.39945759616614, 581.4809751709239, 581.58654375403194, 583.31465333040444, 586.52715547882815, 586.82528010216151, 587.08713166314681, 589.30698938619582, 589.77334019381874, 590.55222612480304, 590.686292288049, 591.1177900681771, 591.55784808059786, 595.34635844659397, 596.60596604531281, 596.66362637315979, 597.098488962891, 597.45286620206002, 597.64715184754539, 603.40821858628044, 603.8489682322969, 605.23246773520225, 605.33489519360637, 606.74265170980436, 607.24146404073906, 611.10914183032969, 614.31235237686735, 614.48024926944697, 614.64230189248565, 617.10539819385144, 618.18996534839891, 618.77974549063379, 620.3774823682221, 622.48169266093885, 622.6863089804848, 622.7375854048023, 622.81464286992355, 623.29055502193046, 626.1343094107317, 626.59932054297019, 628.27248113734913, 629.11578601095607, 629.87891370001, 630.15447337900491, 630.49016515016206, 630.56886222326636, 631.97964227708098, 632.22633933705629, 632.28447412678395, 634.72278788350479, 635.88848097020696, 636.00525565159069, 636.38131416077692, 637.22691806874184, 638.95494819931912, 639.12766615185865, 639.23428087728189, 639.50619310626269, 645.71087682593623, 646.86506736095589, 648.22757441333681, 649.32880449116294, 650.20238871681511, 650.27838008155652, 651.65979642567493, 651.97821904182501, 653.62035953593272, 653.91498717926277, 655.29331957286865, 655.31621263938155, 655.36924918805585, 656.58483575866762, 661.69381328011684, 661.85571842813636, 667.12131495761002, 667.17600228887522, 668.86735655596112, 670.17591629644664, 671.03099794885225, 671.29158676802194, 671.37938603699968, 673.84746071781672, 675.00480549625286, 675.10066067174478, 675.64083003465009, 677.26448163568409, 677.80292422652553, 678.68438845446724, 679.7855609355903, 680.45692247095542, 681.04770521805801, 681.23320630338128, 682.59253490368235, 683.0076725257934, 683.08569623806568, 683.58891620507768, 683.68235740170314, 683.90349601286061, 685.175796544175, 685.27440599844806, 687.08297357682386, 688.12195040577046, 688.92183098476301, 689.92794776729386, 690.1239240536263, 691.35058231588062, 691.41041625170669, 692.12101426832839, 692.75279869751796, 693.15492717213101, 694.07003743775329, 694.71568531659909, 695.4807953172475, 696.26477986936993, 696.86327592094949, 697.74352920884405, 699.76834316548923, 702.61624978394013, 703.36799920199155, 704.37876530801736, 705.33833332522795, 705.49696302985762, 705.52627003820896, 707.91558230652799, 708.28579218213667, 708.59393137537097, 709.12178094884052, 711.16516548863217, 711.37693906420793, 711.94708181040642, 712.72960921434321, 714.45840013616692, 715.78576811109667, 717.12632501181542, 718.58726331038167, 721.75620435544988, 722.69469210718501, 722.97972329648815, 723.7185806572902, 724.74800444543939, 725.04664663313804, 727.23776891949638, 728.26786725910563, 729.42490819575119, 729.82371298167232, 730.21771166863959, 731.0391341300608, 733.39709911414036, 733.52158027302846, 733.81811105623876, 735.19664846524029, 736.22540734197571, 736.41404119367633, 738.46560137828271, 739.28643054834811, 739.70243560090648, 740.41380516985168, 740.54072114217149, 741.05604160314385, 743.19871977801881, 743.25454449568383, 743.54071801459929, 745.68623129472348, 746.08285427320868, 746.23743358149761, 746.36991481892915, 746.56907512954797, 747.90515254840773, 748.06859147892021, 748.51129740759836, 749.42895473560839, 751.91142552222254, 751.96933744191062, 752.50801608184725, 752.712796216588, 755.62624083174489, 756.10115407817034, 759.30168698028137, 760.21063297717421, 760.90959989498992, 762.12390247471478, 762.94420941381838, 763.0452575544316, 763.30967563812635, 763.7872180794144, 765.59894152903303, 765.85213723195261, 766.10683768373292, 767.51320110748304, 768.67117981610158, 769.01561541631361, 769.06743162351108, 769.24997822561022, 769.44834514529305, 773.17716932374344, 773.20830799617033, 773.28211629751911, 773.91399748195727, 773.9394863491699, 774.30280444271784, 776.17906997388025, 776.31479714646571, 778.5020088887959, 779.26614447040572, 779.28683274948037, 779.31400054680785, 779.42320956012475, 779.46180248490009, 779.57541335859321, 780.22402108076744, 782.4720845256486, 784.99445053176169, 785.30613397395371, 792.10178762380019, 792.25392573043894, 794.25768926765102, 797.804250719847, 798.5317707067959, 798.82023292797282, 798.98406119492449, 799.07236193923802, 799.15002661547601, 802.84010607632752, 803.39367438486101, 804.432873643976, 804.46506449591493, 804.95447482843394, 807.32550757031174, 811.42151223644021, 812.35053312091327, 817.45471573745078, 819.17284097956576, 820.44651906691365, 820.95351902079062, 822.46278181704372, 823.08816331589833, 824.66085730496422, 826.09841888486881, 829.17759269067108, 829.33897118303753, 829.52968719519151, 831.0386987737553, 832.01788114946612, 833.0693500696915, 835.27912722058443, 836.26729497733402, 836.58687172979035, 837.89282444095375, 838.98430432214332, 839.75127512070594, 841.06742028220469, 841.51223278116333, 841.99986564536448, 842.34546503241677, 842.38507660255641, 843.96717088333548, 844.17696404940091, 844.81995855419632, 846.89563658123836, 847.81621736334966, 848.2626881471466, 849.86021513031801, 850.12267221109664, 850.77764765263237, 857.24240832014618, 857.44993843159477, 857.62890949373013, 861.12087315043152, 862.05391259981798, 862.28938502516814, 862.34288616622564, 866.62137869895275, 866.88663734425859, 867.0622466910238, 868.01407730122253, 868.5931323870816, 869.95716436358066, 870.72823366622868, 871.22185939116787, 873.18926874048202, 873.63240371744553, 874.59587585936595, 876.2518825162249, 877.03225369092013, 878.06763713479097, 880.09570397458083, 880.46419569189561, 880.58770529528226, 882.1496142567853, 884.12700219494889, 885.35075306252884, 887.9243557505913, 890.86081769589316, 893.31926958874294, 893.93366197890384, 895.52602880087193, 896.16509253317429, 897.0526779376039, 899.71546905744174, 900.70544856215554, 902.22917984963112, 902.57218393950609, 903.04527950444719, 904.2682808341176, 905.33748736389396, 906.86271933292608, 907.69616549440934, 918.21392821913344, 918.90529725331214, 920.22000891915513, 920.3328678907119, 920.61181047460809, 921.81919366138357, 922.15037558400104, 922.39658249899469, 922.48859062449969, 922.84168678475794, 923.00427312562215, 924.7840514197095, 926.66550098962546, 926.90294227684171, 929.39584536790755, 929.59885950247565, 929.87549796264489, 931.64827410941245, 931.97401347317543, 933.36290480175626, 933.62806355715111, 933.82364133161821, 934.46658139134001, 935.27486153148482, 938.31570106048366, 938.6054825247636, 938.72103989309846, 938.96134097925722, 941.39341278287179, 941.85598761141739, 942.40789513516984, 942.70113506637313, 942.91932569239111, 943.29771016315988, 944.82966211052167, 947.49345030458062, 947.52279775723093, 949.1140281065168, 949.52593057303091, 950.08648711335593, 951.3514330833774, 951.49207925794713, 954.29907294057796, 955.06245174805133, 955.51979415504354, 957.35818214830692, 958.07667925173257, 959.03448249730445, 959.05564524105682, 959.1658835572174, 960.78499177944559, 960.91913802697252, 961.5852896760224, 962.28667202724694, 962.40890249856261, 963.81635802857625, 966.43528865513849, 968.01279020558729, 969.37091918099577, 969.75340250574766, 970.37787224316924, 971.08252996073213, 974.16768120978168, 975.41827488551155, 975.99420041438862, 977.18196987036129, 977.5024994802734, 979.67279479725755, 981.59965840969085, 982.48124611523531, 983.33606673110341, 985.25992561743783, 985.67009509858337, 985.83699265784355, 986.18174825620281, 986.3412489548266, 986.64859573327578, 986.8042822777951, 987.04244988561209, 988.02601417717619, 988.0741433842685, 988.92796717541796, 989.48828146650726, 990.18011774268371, 991.48265795005989, 992.61071617644245, 993.63998966320401, 993.67410189350437, 994.46596235984032, 994.70185292504391, 997.74430242208859, 998.3080436372403, 998.57208747610343, 1000.4566080032736]),array([30.403370783862172, 30.944435736637566, 31.435044568727783, 32.144484021819288, 32.76157413324767, 33.006082607870184, 33.92039590626883, 34.48561217105383, 34.556985834383312, 36.281088262997109, 37.260892391416625, 37.878343955823709, 37.966863061958151, 39.32825142446395, 40.843322999383801, 43.589749010118751, 43.862757896073575, 46.186740467160526, 49.61267232787241, 49.638356789465675, 50.391815073522693, 50.613540789991944, 50.701790023885806, 51.569068004796428, 51.716252311498309, 54.106269050416536, 54.30152619342352, 55.876672615712828, 56.713837357335549, 56.78333208709595, 57.126636998153849, 58.443861469514616, 59.258311211879899, 60.468583202612059, 60.999612639811808, 61.399080555612379, 61.599846332792517, 61.828618306576296, 63.985444582504314, 65.455156654466947, 65.535741618542289, 67.938199507694748, 71.60236361531922, 72.035922554985987, 73.316527267719493, 75.268881483257672, 75.573178197590437, 76.051789490424639, 76.244755429799497, 76.869547029160231, 77.162190859589444, 77.59681412668705, 78.081378969803723, 78.75239424284544, 79.014235288650937, 79.434327508206664, 79.575713440542685, 80.056077834731411, 80.853169967159175, 82.801973627930536, 84.274264182225608, 84.958550081880659, 85.374980148083225, 85.702286563305165, 85.951303249155856, 86.271760218730762, 86.375532012747385, 86.632747534984972, 86.871526140668266, 88.720852901278917, 89.27770884017653, 90.040537077812417, 91.369129821465563, 94.502013669350291, 94.838748596659599, 95.117627096536637, 96.751215985899023, 97.050055065432488, 97.350394877902119, 101.0385267544696, 101.13308596052904, 101.35576077216093, 101.59826332231174, 102.40505891262335, 102.56930802908842, 103.06832438253004, 104.25403407436028, 105.20021016443997, 108.15602250892864, 110.01446516399358, 110.82751428397665, 112.08101924905014, 114.21494742473018, 115.21223385993245, 116.01185139462547, 116.2046970631328, 117.53228987979564, 117.63988287064255, 117.87078507035578, 118.71286280247996, 119.86806281656112, 120.8788974044745, 121.30823399727744, 122.52039959887732, 122.57640499857342, 122.92641838708755, 124.54025616217157, 126.05534129875294, 127.59801581869364, 127.92894265206546, 129.76663468984637, 130.53136293404347, 130.8237427563235, 131.63833716088234, 131.94984477788992, 132.60137732420674, 134.24522187114741, 134.78615369098603, 137.14510255470495, 137.32712671532201, 137.95836046715891, 138.77627481394202, 139.31715424532149, 139.43184342541835, 140.58746625291244, 141.50666025443741, 143.6133126166871, 143.82466958800708, 145.95395527924353, 148.80522582695781, 148.92598666306796, 149.34423373462866, 149.44839561180805, 150.32829949617562, 151.60596193079076, 152.71664065968727, 160.24613176614022, 160.56070509565021, 161.57767620940189, 161.81138902240744, 162.71952562596263, 166.47320707754284, 166.752530268497, 167.05537508380144, 168.2767369707843, 168.83749463515397, 169.84420114455128, 169.97240557379243, 170.39202477994738, 171.46990902429059, 171.5203274243714, 171.64277338157007, 171.69388807172942, 174.2646888563805, 174.43272022919191, 175.49832471107092, 176.2285987690816, 176.76644142980655, 177.27651155014786, 178.91489610550266, 179.34017942094607, 181.60226354190627, 181.7718377241888, 185.25111500678238, 185.29370174932436, 185.51743383866528, 187.29949601615346, 187.76812114537017, 189.21306348072892, 191.14789665170574, 191.5796246781706, 193.02070610230686, 193.13098172404079, 194.30907851300788, 195.8224609347196, 195.88243184087926, 195.96270334795398, 196.30134229386201, 196.88927768753294, 198.99978346302879, 199.73677725471177, 201.03724337866191, 201.23664162346105, 201.81882277893445, 202.27186570857117, 202.30194441664312, 202.84743240609455, 203.66253570302817, 203.91911136732816, 204.08312181890747, 204.86951889566345, 205.51318712673088, 206.80430567793832, 208.60252907914551, 209.21688892852299, 209.97831245523071, 211.13006718233302, 212.04066043249739, 212.49363897240065, 213.13753133434366, 214.68667192451835, 216.10597554676067, 216.691478482044, 219.49351970581287, 220.15618766984161, 220.4588085676514, 221.1565467985732, 221.77956557693321, 223.17053857350646, 223.31463085890161, 224.00069749461804, 225.99805179204674, 227.94020014699677, 228.41358257100896, 229.2278024346584, 229.92899898830046, 231.89701289563021, 232.77455037178282, 234.62682704250264, 235.36589437678956, 237.10638519150177, 237.16297253367728, 237.51334742215784, 238.65633952630185, 238.9504328167186, 239.12339668966573, 240.99243002524489, 242.28433858126448, 242.68390423139991, 242.75266755220775, 244.3876861985259, 244.70536108567632, 245.28033387059307, 245.35511921078401, 245.97645180770252, 246.51542835637926, 247.23085507164635, 247.35799419035064, 251.24192767584833, 252.84835761761818, 255.98940132825641, 256.72584003971463, 258.15134785646279, 259.31649905280597, 260.72247968749781, 262.08377466513338, 262.91646070200494, 263.00096696841979, 264.03061110881652, 264.90806851174722, 265.02169361047197, 266.26044389342866, 266.28925844829524, 267.42912300678086, 267.87409956464018, 268.32171564315757, 268.58479882886104, 268.60597738726642, 269.40074540186157, 269.58932342539543, 272.11591905585982, 272.82351394522561, 273.10942997606406, 276.08758502990889, 277.86577586647667, 279.8063849025479, 280.63663108323055, 281.14212148321695, 284.26737612632621, 285.92785379030994, 290.80559861455436, 292.13821809598556, 293.47274089434785, 293.53748590167686, 293.83579827378549, 294.16964163423307, 294.90794336100583, 296.30183381240784, 298.13222749320175, 298.24013200826863, 298.8984463266525, 299.19948787517535, 299.3955104570137, 302.70284693832633, 304.54199975766727, 305.33426970184303, 306.00645487133573, 312.5463586172279, 313.60824438890944, 314.65123515567376, 315.30757937114271, 315.41872863812245, 315.9496639307618, 316.74663331490819, 316.96532887325333, 317.93330842425058, 318.56880335927434, 318.811448791033, 320.44735175803851, 320.75759075725495, 321.25532093950704, 322.08110610429503, 322.39994511704418, 323.62492512037994, 325.51078652752608, 325.88484166237345, 326.07218220041273, 328.17388185820937, 329.30971693310556, 330.22819223741448, 330.42903536943982, 331.55061700336421, 333.6680557661864, 334.93974402942484, 337.97106665449456, 340.27448032095373, 343.11870843308111, 344.50784132818802, 344.53595580424934, 345.51843081192834, 345.58978332663867, 347.16389815116742, 347.58474486699055, 348.11708493388443, 349.32250596728983, 349.40214617981144, 350.84086119889037, 351.84478227191221, 352.61559110105765, 352.67342014483921, 357.13126334550054, 357.54611215937211, 358.23595769527594, 358.61360420945653, 359.01763320182255, 360.90221995316688, 363.98662387977203, 365.13146880987955, 366.3322986012667, 367.18914402842466, 367.75100819944254, 369.04948173129537, 373.19063256596877, 373.51063260795331, 376.61859814946308, 376.68676210464048, 376.81204707737606, 376.88829496601386, 379.17238787903381, 382.577134524298, 385.31504994674719, 388.29240539679847, 388.36904936861106, 390.6167266700329, 393.00978623013941, 393.37343627477776, 393.93711136208179, 396.69078329948314, 397.55079724147441, 398.33635650249033, 398.49023566917947, 399.62045654271225, 400.70193177857294, 402.09629173326056, 402.33376334716075, 403.03926326589277, 403.57933616357849, 405.32900523105201, 405.73899695447545, 405.84676273236465, 406.54516187176262, 406.788452946961, 406.99849792651293, 407.05443863054114, 408.62818092411447, 410.2850772720281, 410.60507792623235, 412.48545834265036, 414.0289066528448, 414.36757756615316, 415.22769146531624, 415.48309645006287, 415.75661534425421, 417.11876658822962, 418.52311798719961, 419.66436869996255, 421.32121450769608, 421.65116751289128, 421.87526444553197, 424.64412467274019, 427.98995670083269, 429.43937706040896, 431.20560841654606, 431.73935069551163, 432.46454830307658, 433.61309858477989, 434.97560051844232, 436.38702037766194, 438.76238412364103, 439.66245739070126, 440.10795285926082, 441.93378920260733, 442.16529722599716, 443.32324167246054, 443.84803204771339, 445.0989374596744, 445.49604731737321, 445.82341248503815, 446.11328821164636, 447.58440329223708, 448.30434117728214, 449.22661897198947, 449.9053319609784, 450.15262307795018, 451.44446219954358, 453.01927064946995, 453.40485798348766, 453.54594244354655, 456.56655303758902, 456.99217057829566, 460.58459645300923, 461.75431647721416, 464.43607703875875, 464.51109608391641, 464.71102172370331, 465.34605872178207, 465.41313967200699, 466.37238690119415, 466.61825226259492, 468.15973129875397, 468.63513008251755, 469.51309556401935, 470.2928107640675, 470.84414840767846, 471.44506134916838, 471.89206276169699, 472.00367917030479, 473.10490217009362, 473.14757829108248, 475.40683689584483, 476.39897351666735, 477.96440212565471, 478.04602380035408, 481.808166569913, 482.72267008504446, 483.42258834413082, 483.47798643105767, 484.19727254612678, 484.2186613700311, 484.53545166492205, 484.73695195686025, 487.53528306161706, 488.01135005851307, 489.01694668213571, 489.60308344305668, 490.57759444997942, 490.85297672083158, 490.90904868143917, 491.38073189927235, 493.23829096118999, 495.21878920144292, 498.56263140251116, 498.62537413169002, 500.11438517034748, 500.92540231741492, 500.99049399443606, 501.6236626340206, 502.04558737797862, 502.22387388853463, 502.27263195016121, 503.07939982035919, 503.29259031141055, 504.14156311559174, 506.70221012755115, 507.41995250748511, 507.66229633644696, 511.22917945572783, 511.36977073128554, 511.56753495891542, 512.83175446730672, 512.90115582817828, 513.26471665957263, 514.41957485703915, 515.79026951616004, 516.91735090974169, 517.13660753168574, 517.72238766701116, 517.80192712327823, 520.56927591600822, 522.36223629442895, 522.91720417618944, 523.3919081616533, 526.54144060194608, 528.08938289005403, 529.14954758577346, 529.30912952537676, 529.59685960076922, 530.06938700410467, 530.36225342007333, 530.85219757062453, 531.14054756180917, 531.73790622344472, 534.21264399552342, 536.41201927605562, 537.33626854818601, 539.39140101756493, 542.73821259137094, 543.0343954164299, 544.15198119300044, 544.34358313155394, 545.04619845722482, 545.97489059138979, 546.02450823025447, 546.6802969956035, 546.86025248568228, 547.18462964408161, 548.77011992888197, 549.14967655156784, 549.43388653908755, 550.23884391028832, 550.69119237956568, 551.95850611712831, 552.65135760334738, 553.63577584655275, 554.06404379021092, 555.3376908638262, 556.43797675003668, 557.20025208550715, 558.93223669036161, 560.07423308034618, 561.24070283182607, 562.07193732238784, 562.48773584990727, 562.71742769267257, 564.15243365813194, 564.55793194601813, 571.09118119542813, 572.37393762945692, 572.63546546007751, 574.80416287243861, 574.99773517711719, 576.58694767011605, 577.38182766660725, 579.0540260104666, 579.48580451820749, 580.92260230005331, 581.67327602322439, 581.78639347485694, 582.68451991744121, 583.58033191921606, 584.4939256385635, 584.69111654739527, 585.37933670009591, 587.9431725654083, 588.59613846866216, 592.25821948040823, 595.16374088372118, 596.99804170629227, 597.69634674054214, 597.82876095683196, 598.34939131412193, 598.55065058735386, 600.00507396323951, 600.94761377385396, 603.79823855084123, 604.38544464769438, 604.40605633075813, 604.94758730781734, 605.03991242671771, 606.93386647868624, 607.10912016384907, 608.02383925349102, 608.77026856815451, 608.81266089365147, 609.80644860620419, 612.84921571703239, 613.16639083813538, 614.53598196404255, 614.93147012683085, 615.20833963676978, 615.33897665554616, 616.36821150503306, 617.14635567624759, 617.3188833778064, 618.11568456960356, 618.39543284759293, 619.4084907796514, 620.53902046596897, 621.72153017223377, 623.91058253605843, 626.04630602531552, 626.37581709603535, 629.13666953429606, 629.56396299758012, 630.96675104504538, 633.33744451083805, 634.35511632705504, 634.71758775487103, 636.03431772096826, 636.99666467914346, 639.62695293999866, 639.73617706406537, 640.48875566458287, 641.31453430229169, 641.62521887842524, 641.71930715696067, 642.36853865911451, 642.60109295018788, 645.6630160204586, 645.86213203856528, 647.36837143001515, 647.78326907735072, 648.45841679645366, 648.60459296515774, 649.35677490659305, 650.44063216018026, 650.55056140423085, 652.71082356789634, 652.93579481503241, 653.23614739087611, 658.09519129277044, 660.35123919026341, 661.06654757376009, 661.61104683155258, 662.36240626743245, 663.55411032068093, 663.62857316241593, 664.80373157316387, 668.68897726547743, 669.95219315969644, 670.85397253771134, 671.07330468226769, 672.43149559352014, 673.29398827727039, 675.26792572000647, 678.70031331302812, 678.74256047794006, 682.1330658267118, 682.9126729050663, 682.98022633493679, 683.17670843170822, 684.01742260643255, 685.49503628736932, 687.29601856186264, 688.33500436514623, 689.19632629313787, 689.44398096447549, 689.54317810319935, 689.78160374938261, 692.67534802951172, 692.8074067755382, 695.3187882060522, 695.62874560230796, 695.72710924069122, 697.42814014347016, 697.75701560291577, 700.54777309157146, 700.62059160497063, 701.59543825324829, 703.40065647439008, 704.32999588220468, 705.14651666947714, 705.75726961079454, 707.9807052488319, 708.59514065980727, 710.61765374995673, 711.81405832673829, 713.08511662672595, 714.05057213203054, 714.57610080405652, 715.43692247160789, 715.69380686040563, 715.80957828468092, 716.01253492553326, 716.1739862519687, 720.83012106658077, 721.60630877403457, 723.69760523652815, 723.83578143984369, 725.3343632213365, 727.8325353882085, 728.03487871857396, 728.46592885003361, 728.93808051182907, 729.19301373769781, 731.54334960690107, 732.55876342757404, 732.80713809509234, 733.12223814831736, 735.04240555055662, 735.61277379298303, 735.68871395212034, 736.67036529054189, 736.83236841714722, 737.23200719852582, 739.48030640029776, 739.52231092733984, 739.92501704627443, 741.35257994511733, 741.37561065658554, 743.30837906217721, 743.86988638128003, 744.20134132717544, 748.64868749953973, 749.12913860316996, 755.1364360753131, 756.65952610643103, 757.08366309877351, 757.82999857742038, 758.12100243257032, 758.93830427260252, 761.29042572203468, 761.572487146198, 761.71363247201168, 762.11488644287488, 762.46410266119165, 765.25587958747735, 765.63539884651641, 766.93272888800425, 767.18577100679329, 769.89019299693541, 770.48760859231038, 772.5556493688207, 775.43631327812273, 775.65618318519716, 775.90579159538504, 779.5221176641428, 779.71878131456299, 782.49083711857702, 782.85939711576964, 784.43793887229685, 785.20348802566321, 785.5639848317345, 786.31312691759888, 786.45414048945463, 786.97093802593997, 787.8359400428958, 787.88902956098252, 787.93804236008521, 788.2435199791064, 788.83559772660362, 789.10411363353433, 789.28390988957972, 789.77935391004962, 791.39044348259711, 795.67643481499238, 798.91612252372056, 798.9524767206949, 799.04928769437163, 799.47124143827227, 799.55467997073811, 799.84115598397068, 800.86337592906204, 801.24959782302744, 802.62894598608307, 802.99618577080332, 803.35000929412843, 803.83993075391106, 804.05857527321302, 807.3034957322493, 809.12146621987631, 810.04211668089272, 811.58696731137002, 812.30967860046951, 813.24469210964571, 815.94680547326766, 816.66794387395578, 816.891778084316, 817.15040680458605, 818.08729811781541, 819.03353374397125, 820.28991429342932, 822.35370138120823, 823.41149121467083, 824.16478451029116, 825.45691012501118, 826.30407911993086, 826.75230095467782, 826.98713750362015, 827.98708356711359, 829.19778798964057, 831.15302131769283, 832.31685496708701, 832.54541498428989, 834.46576490711391, 835.0445634668705, 836.0869390552707, 838.89745521578789, 838.96351939057001, 839.41749283876106, 842.74247138789417, 843.29185628160394, 848.82832942316941, 849.02517009988014, 849.61947494270942, 850.1693588051088, 851.31137308116968, 851.9272452483093, 859.60935155377126, 860.05867783377278, 860.84267735927335, 861.35529386298197, 862.90258158255267, 862.94146248753782, 864.88682414392281, 866.45317136302765, 866.78778218984758, 867.06510069089245, 870.49536464766447, 871.80376430400236, 872.3008830670027, 872.47336479795808, 872.96049088090206, 873.46895931458505, 875.56834811421209, 877.04752523035529, 879.64512563514131, 879.95546976382707, 880.89292979249592, 881.85805729087645, 881.9125457738362, 882.55981120227932, 883.73799232609224, 884.00014520832337, 884.06834478930978, 887.84557409441925, 889.90316682457751, 890.48174462407133, 890.9450542750966, 892.68806533770214, 892.79412171839385, 893.10493289718534, 893.59249445915941, 894.04974104070436, 897.00696472525237, 897.27926050708095, 898.48534477048327, 898.87082741497397, 900.24050753218114, 901.79567003014131, 902.12032322542075, 902.44039221017465, 902.59133983872414, 903.73730259707372, 905.5276053573682, 905.79446493359262, 906.83705631653288, 907.59834267467647, 909.74596826020934, 910.05821379665645, 911.82034927447012, 912.22727876178567, 912.34490770080924, 912.49962425503168, 913.10626321709765, 913.37171961129309, 913.6512761507538, 915.15605700417984, 916.8496013845579, 917.21096820158721, 919.2533903821103, 921.08803647650666, 922.41673098508431, 922.76492794968681, 923.08396190141355, 924.3745978757878, 924.84853375438774, 924.94154205551604, 930.70339943642546, 932.06377070502003, 933.26331105128179, 933.73267901582744, 935.11344313993413, 935.82167078539578, 937.01604460951398, 937.25666244904949, 937.83737937489479, 940.35064241503324, 941.84040570943478, 942.96553234382691, 945.03199218053237, 945.19675654479931, 946.91136511221316, 947.36805282413286, 948.79094942599454, 949.03006804434347, 951.60106788512235, 951.85760066530327, 953.00825337739798, 954.02087136274895, 954.29838724084061, 955.59559692156461, 956.46739729282672, 958.06711585026892, 958.25431327162971, 958.83340770631366, 960.19080157727501, 960.24860132781032, 960.71593206436307, 961.76697624409405, 961.95900695383386, 968.62183888674087, 968.94571899376979, 969.02634723706501, 969.92589107704737, 971.33562795215084, 971.98059829418639, 972.69574607117704, 972.80130337210539, 973.58011125391818, 974.79583839706822, 975.47830829582858, 975.56841161309217, 976.38105097415928, 978.34201648972987, 978.71702346710572, 978.82690405398466, 982.60270944967363, 984.78456025031153, 986.23259365143599, 986.97573277872095, 988.6253291920284, 988.71695377409071, 989.02370579434103, 989.79765446254328, 992.21413723084368, 992.31587864992036, 992.95417761903013, 992.98210843276559, 993.2029161307845, 993.49023106505786, 993.71741412424933, 994.40431742198462, 995.82864382519301, 996.16356122011825, 996.81383553135663, 998.12244037519474, 999.85137694674097, 999.87946557794794, 1001.0848850582208]),array([8.964574540158166, 10.233440512806865, 10.307533891237462, 11.359570532582607, 14.579128611707254, 14.853143805641004, 16.821728174154433, 18.21293407490289, 19.250826445427247, 19.290809182749982, 20.153043265421772, 20.432498672867254, 24.782219802566466, 24.826806854317979, 25.645898683766941, 27.028091000888956, 27.988241334084826, 28.298257582295577, 30.759731693144577, 31.403111225445201, 35.557953295981157, 37.317944044417828, 40.156476149670915, 40.646506729930586, 41.368935069060115, 42.767673944469358, 43.800734435220292, 43.851678240279206, 44.140382289371459, 44.171619379764316, 45.324072606027549, 48.258525981978195, 49.077696854928419, 50.007608570202983, 51.4052012156926, 52.428016882401913, 52.867371657879168, 53.270674628050699, 53.727090287502172, 54.482048101750408, 54.717707979285478, 55.490189663489765, 56.332571975915222, 57.45527806387642, 58.183986835612814, 58.563919349973474, 59.257969202536081, 60.68530814047616, 63.61612478302964, 64.654397114674964, 65.002025864894676, 65.946701934470795, 66.229871701805408, 66.698976632356789, 71.173231508375821, 72.758875785022653, 73.205514200392358, 76.607677990117097, 77.071976287650926, 79.06485810452854, 80.123117942277574, 81.873776137671641, 83.479728040534624, 85.548014719884506, 87.479184387689457, 88.371491471504626, 89.209634722065218, 90.215990110093074, 90.613424918085954, 91.823437969006505, 93.73601893253813, 94.164074273414812, 95.047665120535129, 98.947952843773805, 98.993857637145439, 99.519560929585282, 99.72107995277112, 100.46153878312889, 101.11259068781767, 102.00555859024425, 103.73751501136051, 104.9939494853236, 105.24868854649038, 105.60140925527023, 107.0327486104114, 109.59133791668391, 110.73767025710912, 110.96987580424073, 111.16833730217368, 111.45359512418611, 111.80205452412511, 112.59869931419797, 112.95083340532857, 113.58892197850346, 114.48664373255104, 114.53607830438712, 115.90925304772801, 117.71477628049203, 119.5078931721641, 120.03975054594768, 120.84459210002103, 123.95013130925678, 124.74735698907115, 125.09478875733413, 125.13137084994216, 125.43568853145258, 127.02561967693724, 127.49598883460082, 128.25137064501982, 128.35046606085257, 129.91855318152435, 131.24641246364166, 132.29483752577485, 132.53219724114999, 132.69338707259385, 133.58369181514087, 133.72650734144651, 133.93148291222974, 135.85575396294325, 135.89081948551805, 136.11686589096627, 136.54836256030106, 138.27844130408823, 139.52934824917907, 140.69614817904284, 140.98342037017503, 145.141124925485, 145.98943046846267, 147.15709972131, 147.4962146234767, 148.1900970758949, 149.19546321979391, 149.94730875071102, 149.99131455901687, 150.23691090093914, 151.07507776481668, 152.96446006519301, 152.99702725534848, 153.3520665673837, 156.46768174509802, 157.4946629919236, 158.02440160835903, 158.26859518625218, 160.73346771024865, 161.40706663364065, 162.04450088304336, 162.28234328297097, 162.3927973610617, 162.93771731327095, 163.6442563601934, 165.12399177179714, 165.83919702310601, 166.24903304398336, 166.46815067929001, 167.07812510225205, 167.20944421072534, 167.25494941391864, 167.89048813311709, 167.97291839169438, 168.54822417261482, 170.71725494769544, 171.7701158174232, 174.08775844495298, 174.50959975072308, 174.65969474565969, 174.73782684506023, 175.20187692349413, 176.38647452538277, 177.01101300304853, 178.52723345356043, 178.55978861805912, 179.16031032133807, 180.12222379965715, 181.17878285686095, 181.71067040327111, 183.86535856819012, 183.91273863683813, 184.26143614871128, 185.22475191231408, 185.46856503615507, 186.13337440600992, 187.84786539594236, 188.37326598765222, 190.00356129122719, 190.4249744431815, 190.51544253029797, 190.6085024452783, 190.82696196272312, 190.97389469541173, 191.70696586958175, 192.05413662408901, 192.1721227721527, 192.34856547568339, 193.03621505430309, 193.1867198005198, 193.65320997048946, 194.26766758300423, 194.47285392638881, 196.29758298385579, 197.13410722185623, 197.27078716854288, 197.47515766031441, 197.64059153812619, 198.38849728055663, 198.66078767303841, 198.70583979467898, 198.98473046361724, 199.97928467749838, 201.26809703058126, 201.69680550962761, 202.71147669879792, 203.94072659142287, 205.05935398336555, 208.18832837843431, 208.7255872572471, 209.34413352339277, 210.19458755364704, 212.70672875728866, 212.93903710082253, 214.03263205401097, 214.22737762091811, 214.45128766184442, 216.24448852063756, 216.88542546665647, 217.54185760311199, 217.86250458695005, 219.04258220141037, 219.76844762017851, 220.13203853955608, 220.43643773724267, 222.11113600693704, 222.46120263206882, 222.53273054824228, 223.17022201379262, 223.56599273868505, 224.15294704447868, 224.35518836588275, 224.53301873297804, 226.96388546053845, 230.02600138091694, 230.91623425222511, 231.26538369958033, 233.24619150521366, 234.89925851302741, 235.45841005340043, 238.06089679846582, 239.2987687926335, 239.36903464814665, 239.96219865257251, 240.59008875463599, 244.60443907886554, 245.12352234712341, 245.97606835632513, 246.11118358554597, 247.40652868434296, 247.96215329313932, 248.13210553109903, 249.62581561480627, 250.65136409279367, 252.89374377212371, 255.43556689591313, 256.55454069095077, 258.85779506615199, 258.90968706528815, 259.32497973805289, 259.81987531613663, 259.94716282643083, 261.58704898099148, 261.67210456409202, 263.10677273862746, 264.59874020971125, 268.03053403205342, 268.55577308493082, 269.73311678603409, 270.783236398854, 272.13607038922765, 272.72935321319068, 273.21676410989369, 273.39809027758963, 274.14003615911992, 274.47802194423821, 274.61633346322481, 275.00000254260277, 275.53593036779347, 282.48821324407601, 283.44522535951069, 284.41629679184217, 284.46021321420073, 285.25081301747917, 285.56234341771039, 285.63905259132633, 288.50212117958569, 289.2724238009049, 289.6995532231665, 289.94506913831572, 292.52933873480202, 292.89370715964549, 294.60441342495523, 295.06692617484521, 295.83074744810597, 296.31554122548141, 297.28797219583015, 297.93023834624938, 299.76348525650349, 299.80191203937875, 300.17627945110269, 302.04074787917295, 302.68033171838709, 302.98218601586296, 303.84790488989165, 306.18240853776126, 306.44959887624555, 307.24356342182085, 309.59631284355538, 311.49313260728638, 312.37890204533443, 318.94260114221782, 319.53093466288408, 319.60407676808904, 319.7333611986262, 320.01350493981874, 320.44690683119489, 320.74993662216457, 322.71512413024323, 323.97594705617905, 324.59576527075012, 324.96916586236671, 325.13682132421479, 325.91676012571588, 326.27353256861795, 327.10416888566488, 327.82667214364034, 328.3836101942241, 331.42916082603921, 335.32431830981886, 335.38979669865165, 336.14219957055167, 336.20273023989387, 337.05937765176537, 337.40123506670989, 337.50584407534569, 338.60841212988021, 339.82065894739321, 340.38185555559215, 342.8869926911953, 343.95698113003908, 345.59955229919041, 350.15212784976677, 352.88708272767047, 353.82131827771718, 354.50063544375513, 355.93961862912823, 356.32903085592545, 356.50137561378364, 356.62259276022382, 356.8356344732365, 357.02209173262389, 357.2541244264753, 360.13243023441163, 360.25514218426031, 360.50455958055653, 362.87347111880757, 366.59191648717859, 367.69845821706878, 370.04712347647779, 370.87693929705864, 371.54777413410204, 374.62647454128245, 376.81857257389782, 377.04906982281813, 377.90628318114841, 378.24660551817118, 379.01168514548823, 379.09784108343717, 380.2286825758211, 380.32603112326365, 381.53965288367567, 383.31878185919072, 383.77968188205716, 384.54554391357851, 384.82993136911671, 385.13374498149318, 385.45205568838497, 387.21836861420513, 387.78197638405436, 389.15713617467816, 391.18102787393332, 391.22049081654148, 392.89970437316202, 393.7922849348347, 394.05389467480683, 394.16395438088279, 395.56238481889966, 395.74097147016278, 396.80768878818571, 397.01240931155536, 397.43412861555714, 398.99577745280766, 399.11622181702472, 399.55909816211101, 399.93917623537794, 401.61675474387357, 401.89339367967358, 402.81443979299087, 406.75560564124515, 407.42128475147177, 407.81772458635368, 409.47400843427442, 409.58823878857743, 409.89635918168619, 410.59575748003061, 412.12697885295609, 412.22460738964264, 412.80721072732518, 414.44290980790629, 415.09508712867643, 415.44871074923901, 417.12737326235396, 417.3219105895754, 419.40403548807564, 419.44904257768093, 419.78333044424869, 419.97866299856167, 420.29486774642061, 420.83956842208391, 421.29475216368189, 422.14372754110474, 422.30510607563781, 422.34883022353165, 423.32770317663778, 423.72761588125508, 424.06077631393333, 424.82789185530885, 424.8606248040681, 425.61463220884872, 425.79981301109984, 426.88721725853435, 427.68494834447, 428.17283109203669, 428.29057299290986, 429.69617330718, 429.82539216188542, 430.59707743625165, 430.69322940991128, 430.76590256670357, 431.07190113417732, 431.8339962346621, 432.28812470494813, 432.48171264770036, 434.55523391574883, 434.57623356532503, 434.82521433300906, 435.0316925439077, 435.29934536741735, 436.83416025180446, 437.07884768740871, 439.0828647336935, 441.40064996226045, 443.30564593240319, 443.98553399940232, 444.56512003122054, 446.2900295631581, 446.65123715449914, 446.77634857747796, 447.09495584246878, 447.8799613434133, 448.25010375615551, 448.82797453873803, 449.09733816604921, 450.05535180770539, 451.59290386441046, 452.38944473348226, 454.29837941321739, 457.36144641690703, 457.73637017420879, 458.27095323561849, 458.8470149963149, 459.3785193169096, 459.61517328405643, 460.27340326164915, 460.84331793081435, 461.87600549787737, 463.75506555024293, 463.98301310888553, 464.47888585096109, 464.69652485726664, 464.97018052675725, 465.88802968457372, 466.04479187263513, 469.2824181465092, 470.20929403730537, 470.90222421255868, 471.57491265844203, 472.1181756202937, 472.85271894396641, 473.34242224321707, 473.96121947766079, 475.76640198891982, 477.14193794096127, 479.95614905124506, 481.16037719640565, 482.39092640427964, 484.668219041199, 485.37595673815844, 487.85404514095757, 488.36674587098054, 489.10581870365149, 489.14140190658344, 489.41792273364069, 491.55254886853845, 491.67341574443805, 492.26949303140231, 493.16932735069111, 494.71656938214585, 495.03053333372702, 496.32512390045866, 496.37113808562378, 496.63168196714781, 498.90548501838964, 500.52416749960258, 502.16780961391231, 503.27966352705027, 504.37317526713178, 507.0804102918471, 511.60302125890041, 512.02582912950277, 513.479846921648, 519.75114628710389, 520.26390309875489, 520.35980701961796, 521.23796452517547, 522.09497999802124, 525.24037941133508, 527.15839978164445, 528.40500760140537, 528.52886964844265, 530.70923967518115, 532.61176712766132, 532.99901962204342, 533.23128390260024, 534.80892003506131, 535.02575447099991, 538.76630433686535, 539.07311099080243, 542.29212208032163, 542.65043101126685, 543.78717471746972, 544.11333070703677, 545.40062852939855, 545.47740465097161, 545.93175143054839, 546.59777297439484, 547.98477565007647, 548.37806851893129, 549.00813921469205, 549.58250797185394, 549.64490317390278, 549.67900179214735, 552.13832875291246, 558.43861631529865, 559.0740521498725, 559.13935616282572, 561.11872811514218, 562.17476183244958, 562.67786753467487, 564.85556289676265, 566.50289555262918, 567.51981548849005, 568.89182000249207, 569.15358702645096, 569.28416916072013, 570.06595550260079, 572.09545931955824, 572.9569432093549, 572.99491959077318, 575.30401333474731, 577.75998239576211, 579.33785060641287, 580.58281093938137, 582.62318047234226, 584.51175774509193, 584.63720327946544, 584.80592601497017, 584.99943592030513, 585.10474077611377, 588.48388012589282, 588.58037703573018, 588.88218112322681, 589.09695582017673, 591.13028846708357, 591.57795874606609, 592.56491785665366, 592.83944040505241, 593.06988547324227, 595.17632570214039, 595.6237801132603, 595.64711950944479, 597.58826608492086, 599.62675831379227, 599.74059096871736, 600.01336035140707, 600.82821157426906, 602.25130592053472, 602.47638814654056, 603.8762743295672, 605.27322186699757, 605.7455545726142, 609.63811509808284, 612.62881568842624, 613.05972035256843, 613.56316985757917, 614.64007154761021, 615.56737887757799, 616.95587775283229, 617.48700477834211, 619.14259260316658, 619.64504609822302, 619.81812658909439, 619.89530215421883, 620.83274494798991, 620.92014343562153, 623.62646691951704, 623.85638093126238, 624.24837598303657, 624.47668061126478, 624.7695696961955, 625.22560156355064, 625.323692774351, 625.48619221550541, 626.03693240721304, 626.98169861583403, 627.63843732271766, 628.92556841875955, 629.43677690843833, 629.46838297012937, 630.70977285901461, 631.54986787879886, 631.70529455753615, 632.03381065210635, 636.32361948561186, 636.61446303517585, 638.4802028831424, 638.82576152175466, 639.65563823189984, 640.05352792093754, 641.61543787054234, 642.46620336741012, 643.94903580255766, 644.20629694669276, 644.42305630361057, 644.82678986143083, 645.26222713497475, 646.41927481009793, 649.03601285356785, 650.86548883029411, 652.93476153041456, 656.75102393698148, 657.25037007204298, 657.64893490129725, 658.10233919269569, 658.34024861928185, 661.33262241914247, 661.65539070725265, 662.0141662496103, 662.41935010237171, 663.55059394053285, 663.95112183706112, 665.24738525195619, 665.97953547420843, 666.37048520747453, 666.69660889276815, 667.08408080528648, 667.72962547129396, 669.81114177192717, 670.18470053766384, 670.24861640668132, 670.39851711623078, 671.21588192476042, 672.38878991559261, 673.23639264155565, 674.87957064421494, 676.25104653526705, 677.01848001097505, 678.43436713675692, 678.54412936424694, 681.14260397232772, 682.56072483387641, 685.55140342407321, 687.38039156217144, 688.49813002172539, 689.55992166640829, 694.5175060468008, 694.99264080530418, 696.96792046057578, 697.54375879979489, 697.70023007077589, 700.5647506563688, 702.5549528256056, 702.78016539457496, 702.87462744206368, 704.26630636213508, 705.98608550063318, 706.03676244340591, 706.33956629390605, 707.54992748608424, 709.21039414328118, 709.59859484319679, 711.08650696533846, 712.31623374749881, 713.48246092968782, 713.54505222148885, 713.8260944967127, 714.93865258962285, 716.37530616605852, 717.04167518609597, 720.5099163938213, 722.63292242378145, 724.1327692651173, 724.98022630935975, 725.87111511392231, 726.31226682102647, 726.80652812388303, 728.88467772381762, 729.06379114621268, 729.12530769921887, 730.00926805844995, 730.03803630542575, 730.46731103130219, 731.13996406839544, 731.43447665598296, 733.41926671294095, 734.64281419401561, 735.11947024679341, 735.18502287718138, 735.89393623622232, 736.57945086383336, 737.05065421676386, 737.50761596663972, 738.00464287350439, 739.37951277286743, 741.05800688252737, 744.95266121165002, 746.30199293909175, 746.76261256955195, 747.15339872019342, 747.19790558324348, 748.66417889947741, 749.66348650046211, 751.03910307100625, 751.38690699593644, 751.72523260648052, 753.0570580132827, 755.53204599422281, 758.08602118313183, 758.29978941960337, 758.48908111190315, 761.31509844360141, 761.59557764206124, 762.26316991486158, 764.71228950881437, 764.82050400602941, 765.96811232803998, 766.1051294838428, 766.35202077896952, 766.85043470400785, 766.92717035495752, 767.09721373864022, 768.73258515633711, 770.31732296990594, 770.65230672646157, 771.38684767394977, 773.13570026412879, 773.40908112173736, 774.2600499649875, 774.42080417420107, 775.14329208606455, 775.85208907917377, 777.39400508503013, 777.44331636095592, 778.01068936917841, 778.20073116802155, 782.38162049269795, 783.3241180578442, 784.07696654121639, 785.79810637467676, 788.13832257714193, 788.61527023700228, 789.92828336833452, 791.48411076980369, 791.53826220204382, 792.0201026952634, 792.47317327090207, 792.96385233768081, 795.07241690320029, 795.86675688106823, 796.78751750135268, 798.50716310789392, 798.8670786876753, 802.96797768515148, 803.23342772938724, 803.65521674723743, 803.79427319181866, 806.16806351576531, 807.06745131861271, 807.33192988346411, 808.53019233823056, 809.17882620682883, 809.85434445219687, 810.4480440641737, 810.81930373150658, 812.47471469077016, 813.30250657437489, 813.9339800867748, 818.13481546079277, 818.77363228473962, 819.25856334907678, 820.16807879741748, 821.15074828345053, 821.62339017370391, 821.64507643293064, 822.01542636380202, 824.66287783213068, 825.16961547952474, 825.49308244477049, 826.20835106888728, 826.74451996571418, 828.82549388573409, 829.26635673213298, 829.90250894484427, 831.18131342928632, 831.3539033763625, 831.39790964195981, 831.68322750880145, 832.09979991175237, 835.15982603118255, 836.35514987477029, 838.94758180312601, 840.97987670729242, 841.08322777842909, 842.70381067764106, 844.0751376799933, 846.39870168131927, 847.35185582458917, 847.56564893813049, 847.66444812014186, 848.03707994503202, 849.68580501224619, 849.9292527857807, 850.80164096063027, 850.93595612580873, 851.78797717778559, 854.91341196521444, 856.88593823751489, 857.69116835271632, 858.68819913480024, 859.43998901137661, 862.16398759671051, 862.97966714401173, 863.04977831103474, 863.31335633356446, 863.60134336123997, 865.39591709723254, 868.58984145392503, 869.41388003513646, 869.70223398288044, 870.19086853804038, 870.27083026195817, 870.90120073508581, 870.93217842047682, 871.63078556074618, 873.41943837299675, 876.76997488583504, 876.80776854333794, 878.14723490442054, 879.02431252510132, 879.67581658137158, 880.86262700882332, 880.94929577924222, 881.64176827322808, 881.94644357063805, 882.28724161323555, 882.64385299535161, 883.77848543519656, 884.18588576851926, 887.5968194981632, 887.66840269916167, 887.97197624981436, 889.28172080234106, 889.69062593901822, 890.40660043770674, 890.45370627900468, 891.35875431624572, 893.71320625119904, 900.34209187256943, 900.55510901484092, 901.77237827777719, 903.66277640200121, 904.08475751985929, 905.37944018745827, 909.14708606189561, 910.28507567353461, 910.99291407144722, 913.34817859474242, 913.44635798792149, 914.66852448654959, 916.75716268777308, 918.69589270285758, 919.91704275132417, 921.5884760700709, 922.47164826085293, 922.77033160028941, 922.79290234328766, 922.87286550296494, 922.978200829721, 924.4024867802525, 925.33190328684213, 928.70940479533544, 929.25665484371348, 929.77463042676732, 930.52323292872177, 931.38940067383305, 933.00570795626732, 935.47554053222416, 936.4421812520178, 938.01761508534014, 938.73343975284672, 939.46738432076199, 941.82004372784138, 942.08700100516774, 942.29339541766467, 944.13461123863306, 945.42782367315647, 948.96856909929045, 949.21204421946982, 949.38351583950748, 949.69261778418229, 949.77863294094391, 950.5023326877922, 951.02179526462282, 953.0015754879056, 953.08325948355662, 955.29766050270518, 955.8575580066273, 956.38822314525157, 956.75150363786577, 956.90149488632892, 956.95229233567431, 957.32205325436212, 957.53233246960338, 959.66204181591024, 959.97336962771078, 960.09379964986385, 962.17996293244482, 962.66966378450059, 964.6490462795058, 966.09981766086628, 966.54516433850802, 967.27857443099197, 967.58449670698701, 969.01141978981912, 973.71887992270024, 973.93598782708978, 974.3895030906225, 975.50245868943841, 975.91527956064317, 976.21392735719462, 977.91784887323365, 978.04186365204976, 978.11089874187064, 978.530509283078, 979.45237149745697, 979.55646449200503, 979.84147584292862, 981.20411168385374, 983.62017558631999, 983.87193300132594, 984.43229109050264, 985.24006301104589, 987.01727035433407, 989.69572968534862, 989.9451917364471, 990.65482881152195, 991.11992559262467, 991.51958030650633, 992.14772250627277, 992.19963442081371, 992.80460710284115, 993.07604783368708, 995.20804352959181, 995.62259367747072, 996.14366345444284, 997.03833218367663, 997.13348289453984, 998.37470772194808, 998.86156580559646, 999.8549979832801, 1000.7866368515377]),array([52.306435113410799, 52.4626824100094, 52.731155335303107, 53.050675161522612, 53.569265597357493, 54.058773653571571, 56.0005640903494, 56.656559468458923, 57.763813189070234, 58.8863288507523, 60.655156549545204, 61.520101911072935, 63.031750729195039, 63.617798274961309, 64.40005954678108, 67.187085927805725, 68.358180064815002, 68.400662592300577, 69.030255775168612, 71.40783766800584, 71.964697376061167, 72.129621694895789, 72.280451891706221, 72.628621036771676, 72.839670832327897, 73.601261669991956, 73.716875664692168, 74.067888394701626, 74.488506885509992, 74.860313992964564, 75.47930490357939, 78.270409128715116, 79.430910167178837, 79.590363102519802, 79.75541459348004, 80.246723187615416, 80.515831134043779, 85.185064237460196, 85.635255221859765, 87.107776949466327, 88.161983259077616, 88.252828986061061, 90.055466599651922, 91.310923118521799, 91.659783899905136, 92.657942858824796, 93.152715779634775, 93.541916221208396, 94.109213851372246, 96.215961167037349, 98.725815659925047, 99.227437765849089, 102.75589687414153, 103.09025151445799, 103.63301620468148, 106.79596816702444, 108.1142980448905, 108.63365124536364, 109.14000441806152, 111.54124840834518, 112.98331666339307, 113.08356212983598, 113.86423825711812, 114.09454715672375, 117.097348410938, 119.38513089393037, 120.27019005676503, 120.36574004931418, 122.11502231989735, 122.430391506246, 122.88259082794951, 123.60461105055558, 124.2339123595263, 124.56595409560904, 125.93680588136812, 129.59010541467217, 130.54968965270618, 131.59399559393543, 132.02392674430288, 132.13715589965713, 132.89463674593685, 136.07236845982146, 136.28372443514817, 136.59318284337172, 136.77315411371063, 138.81604875776833, 140.21967882177981, 141.43601468944331, 141.79371463751431, 142.0281186478035, 142.2787375638184, 144.57948640034635, 145.31559676676116, 146.01556033676437, 149.44116701390649, 150.45286073224489, 151.6372389556287, 152.0525982726239, 152.38559741899581, 152.85023822361822, 153.34955972656513, 153.55813174719307, 153.70089130543579, 153.92706019079267, 155.75486074026321, 157.31737788282615, 158.2359411051481, 158.49040955181184, 159.61470434005031, 159.89628357067056, 162.10245938833688, 162.31519727074553, 164.82272647662342, 168.1784826481443, 169.21790726248776, 169.61278510450865, 173.12364236803245, 174.00019062710527, 175.43673500852879, 177.85114358886042, 178.36148184387031, 179.06747487426952, 179.1772683268554, 179.79502819691814, 180.2652371745157, 180.96645733924564, 182.05638535207399, 182.5214505824149, 183.85403838897361, 184.04106117695213, 186.33114251311693, 187.14526630028229, 187.25055502317446, 189.05209977886773, 189.88259970635008, 190.99518990869061, 192.08239677846424, 192.45416446276485, 192.58735749294246, 193.30262670167977, 194.94659536085652, 195.39780107792299, 196.72743654172348, 198.47610253688939, 199.48008231383426, 200.54375739552722, 202.69589688652968, 205.24383347421738, 207.01351862374284, 207.73073446256248, 208.7812583893199, 208.82018412000761, 209.02841116279228, 209.56831273657903, 209.98666459674115, 210.8399534348778, 213.53182918510623, 215.93088184987283, 217.36381449300364, 219.73821573573201, 220.46780282653498, 224.61033785315323, 225.16177724427828, 225.33404266704412, 225.38826221206315, 227.13704250176224, 228.46394141196171, 228.59306856795808, 229.19554366121557, 230.04729581709518, 231.40840878682403, 231.44715075783679, 232.96198263701757, 233.557367749646, 233.86374470167695, 234.30119544197217, 234.85561302977806, 235.58961909692619, 235.67031381500968, 238.34422170760487, 238.47653661199183, 238.76355876269986, 239.9293817822192, 241.63583057110961, 241.99971108030556, 242.42920592656404, 244.19825615667355, 245.09715587175927, 245.29445470482386, 247.25614105942458, 248.5061680397977, 249.56839267170568, 249.61915292517287, 249.65876752919996, 250.9969778684268, 251.09348269470738, 252.2912487598993, 254.12591325975481, 254.18879343650235, 254.90542953822617, 256.5691701388829, 257.55946634378887, 257.83376435010598, 258.44362471566609, 258.6458323661974, 261.33084374100645, 261.99604682535647, 262.40560211162585, 262.49935167574978, 263.18604089405409, 263.22604153863585, 264.09430864501832, 264.14693612819406, 265.80471921736955, 266.35923952357149, 267.48826569621605, 267.53226229435131, 268.1646642420331, 268.68116905487688, 269.42729438471014, 277.33100161214986, 277.44303319338474, 278.01371433187478, 280.09514883280832, 283.66034896410088, 284.73909150457416, 285.30112788203638, 285.86736100657089, 286.86289151179483, 288.53055212922243, 290.55748621974277, 292.33826216888258, 292.37879240268325, 293.11336140393604, 293.37606264476648, 294.14576424051216, 294.41858913040767, 295.08650752068672, 295.42958779846538, 299.27597735860274, 303.2961846564159, 304.10980609111073, 304.7089905581193, 305.27799620347855, 308.10804912554875, 308.17847648192344, 308.9283635760118, 313.32266884722486, 313.85095712012247, 316.52132429308386, 316.76231446203604, 317.02590434415623, 318.39141332373777, 318.75755470604281, 322.45289417643772, 324.85838756286262, 328.84980468417768, 331.34521064903601, 331.66461048168156, 332.43864420426746, 332.47766775347253, 333.39541047002353, 336.79586940941772, 336.9269883083258, 337.15662470033226, 337.42722887447508, 338.15041577263315, 338.79785684290408, 339.46387818589557, 340.27681694932818, 341.11196835217953, 341.83193473518509, 342.49008606772759, 342.62905151947535, 343.19877129434474, 346.13474281522542, 346.296614756618, 347.53952847122844, 348.05045607601943, 349.16134592913693, 349.42032349679283, 350.47581355894948, 351.37704606783046, 351.93187300830579, 351.99712369637734, 352.28148040548535, 353.86635198617131, 353.8898728358526, 354.31495172949593, 354.72489151146192, 355.06931674912363, 355.35332316882642, 355.93772765140426, 356.80563110438487, 357.02560045523842, 357.13997133088009, 359.04135379891096, 361.18668920064528, 361.64877179742473, 361.92250966144496, 362.18762147719508, 362.55213014269606, 363.14913667680952, 364.82911350320745, 364.85578372249734, 364.99696085703658, 365.25818814715404, 366.60279997011526, 368.02975393005329, 368.87857270464394, 369.02430654818573, 370.94904404747246, 372.42146896406467, 372.86926007490081, 373.04409174360336, 373.25231703614759, 373.62703404369836, 374.28825470675014, 378.61139374451409, 379.51077565256963, 380.43848292200357, 380.66708271520889, 380.71480639255623, 381.07165806188317, 381.58950614675297, 381.80123599906199, 382.51448263774626, 383.62609778023096, 383.86694282861652, 384.24695913643944, 384.33193849623001, 384.67389428243553, 386.10460043057077, 386.16284197359562, 386.62429978445329, 387.38246235654452, 387.5473867452983, 387.89524642770925, 387.96024796910439, 388.0489765558379, 388.66006275399815, 389.19858941886309, 390.52251430571835, 391.87445155779056, 393.35783292454687, 395.48453618209169, 396.69670163973069, 397.58383716800023, 397.9690507092248, 398.38386261694654, 399.10840986012079, 399.64528773740886, 399.899957799665, 402.03023425571774, 403.60352159535756, 405.33536651509468, 407.72392452471684, 408.86574450934853, 410.0386585046702, 411.95903296153517, 411.98159237158808, 412.22954366305487, 413.33748894430255, 413.63488282826114, 415.12547305253378, 417.58787080144344, 421.41774206632971, 421.5426354285097, 421.92097167320543, 424.7904133800111, 425.79214027616217, 426.70410863463678, 426.8914832475661, 427.52059103792902, 427.59318469096354, 428.56685884191779, 429.19735992510198, 429.95916725400735, 430.39302093298699, 430.49047029679275, 431.34365308543897, 431.85869358537911, 433.3195706176042, 433.44334408824216, 434.89556072343152, 438.18605281430837, 439.53660569226781, 440.1447903283244, 441.89502233171555, 442.47826861024259, 444.07792967165039, 445.40691128207152, 445.70792828405848, 446.67824529857114, 447.14412674848893, 448.05096430743731, 449.11746440217678, 450.54055095955664, 453.31647009613442, 455.23908691462952, 455.2778511770976, 457.27803055808488, 457.67198051868138, 457.73636229442974, 457.86480330041024, 457.96062652777061, 459.60120336172059, 459.72298761558051, 460.36183373868448, 461.03912433014625, 462.09494616170974, 462.17810113358559, 462.39894997136662, 463.66082339638569, 464.979268963582, 468.42889145691868, 468.4573887241163, 469.0552227609171, 471.33587091904877, 472.24612828847035, 473.37489514749876, 474.33423420743111, 475.69045107842135, 476.58435867509695, 477.33809349064069, 478.03531795939767, 478.27572036681789, 481.70052327166161, 485.45917672631526, 485.79514568600183, 485.96788164103901, 488.14514919070939, 490.1588105098358, 490.20498592363316, 490.66147160686825, 491.02738919164392, 491.66122020896006, 492.18063984852438, 492.35754566835396, 492.45493307477835, 494.55512933039699, 497.21119952493575, 498.09769542312284, 500.35496572452519, 500.63581750346628, 502.47944573255165, 504.99164007962304, 508.87428827919325, 509.84899932661921, 511.3377414901156, 511.73164143743332, 514.63266909335152, 515.8531087222924, 515.95163272154355, 519.84985299319908, 520.09967478500187, 520.27758460281541, 520.36403986023026, 520.60108262322842, 522.6571725095198, 524.94745776391142, 525.93802564652492, 526.04350071718852, 526.75689822042455, 527.51842526074904, 528.56497412888109, 529.97246172113148, 530.06471515429882, 531.70142500587008, 533.66677921049438, 533.68764346615251, 533.79842972900281, 535.18344096303929, 536.81604130087612, 537.236441165222, 540.05444364877496, 541.08820099001014, 542.22469863449658, 543.08002441609221, 543.15969616256587, 545.00968913758993, 546.99995862126639, 547.62239782851941, 547.72399029428664, 547.86524380936373, 548.32042769344071, 549.10006236622735, 550.81819707374302, 551.90868158294165, 552.38204404048395, 553.79286583225507, 554.83347083323156, 555.71666050165072, 556.38570634620521, 558.92763208057374, 559.06403645437422, 559.19590411004083, 559.22933243726334, 560.68714727229178, 560.89679365277243, 561.24314369853778, 561.84196014347413, 563.00517149560437, 564.4365826475896, 565.1750301811087, 565.84400779801467, 567.23616648474888, 569.6525126716009, 574.03934690705046, 578.41967411654991, 580.07129535127763, 581.20542654079713, 581.91096069922708, 582.69788476295366, 582.83181380812971, 583.65989644301123, 584.17689610999901, 585.39704109995307, 586.59266616322338, 587.91519737665544, 590.13673881402406, 590.41000258448764, 592.30628754727968, 592.692323172599, 592.93651588758701, 592.95957910994798, 592.98258994710613, 593.26910361313878, 594.82977705082578, 597.32497009302688, 599.81857640487294, 601.32884274282662, 602.09847108856798, 602.83559840644352, 603.90822652587462, 606.31203465043143, 606.33938907293964, 607.09784627533895, 607.84133830077883, 608.10823273340702, 609.22563499881414, 609.71382539583192, 609.85434059236422, 610.81647606684817, 611.27380307581677, 612.75942718113106, 613.62453708464136, 614.84445566326144, 618.01872135555084, 618.41445432350849, 618.51714975198865, 620.93135278879026, 621.16045026347354, 621.47100310572637, 621.91773697241911, 624.1763817156899, 625.01563515042017, 625.17344465680821, 625.72276016514559, 628.39019184035715, 628.71235625187273, 630.0804186636517, 630.57193123104196, 631.35721434054437, 632.95329847824905, 633.07115616441172, 635.18186851482085, 637.47534634802355, 638.30600368464115, 639.97737722323473, 640.46278471167841, 640.96398120731715, 641.66932779666638, 642.25876390511894, 644.01888403879832, 644.21585301417781, 646.46185412487739, 646.58830065556458, 650.76882548669494, 652.39078696981176, 655.05196595800953, 656.3377964023847, 660.76137365713794, 661.68599878076816, 662.99609535190143, 664.10543602645578, 664.34634462195856, 664.80476501253804, 665.94003689766612, 666.37001564800858, 668.2743640629833, 669.17666243022916, 671.03617891720671, 671.09827208149954, 673.56271838672205, 674.6263960215972, 675.9836960714382, 678.04625285253383, 678.09827805118789, 678.45446923758789, 678.68414830657946, 679.45699466509961, 681.52022406617255, 683.38627061528632, 684.24247578813697, 685.72303490585227, 687.55440381533015, 688.56583518489674, 688.99176293672758, 690.92207384950234, 691.70905185142192, 692.60944019574526, 694.05224652461197, 695.18938189467542, 696.22295813091625, 697.10890563576197, 700.10385532514317, 702.08891752632417, 702.92911315476317, 703.82722165479743, 704.43502422878976, 706.90489206885525, 708.1178312498588, 709.58096691133187, 710.00588271197398, 710.69644944614402, 711.4587320331035, 712.17623985685987, 713.76026452720021, 716.23765949334779, 718.12887525243821, 719.9202695141621, 720.03861451438763, 720.17470391137363, 722.02141108850435, 723.53566764071456, 724.84535878466102, 726.04330800256355, 728.2224997863708, 729.88367341687842, 730.63177566084914, 730.80207934599719, 731.18312976813411, 732.04803742884269, 732.22804556970596, 732.94519740561509, 735.05269913942732, 735.24583606562487, 736.06765905368036, 737.58428881723898, 737.6618860484964, 740.01613098540304, 740.39944138979115, 741.32734866012402, 741.53422219700826, 744.41980850563846, 747.00007037902924, 747.13276853256582, 748.76528838304887, 752.61251136798262, 754.02248100129771, 754.32074125187, 756.61368992377686, 757.29007751701397, 758.34618466761594, 760.52683666720463, 760.86891556028388, 761.45827082966468, 762.19319479833314, 762.99753770871916, 763.1485058093499, 764.34698693788209, 765.14199340151924, 765.79126312197184, 766.10683358577342, 769.85255709952412, 772.09863170326764, 772.20838159002165, 773.79761259987015, 774.07109752232191, 774.45819692432144, 775.14171507268429, 775.77238916928161, 777.72728499411005, 777.94842712355148, 779.08824312223703, 779.51791989781111, 779.68452429468334, 780.14227797779961, 781.27715962187915, 781.35435161172506, 782.23419230534739, 782.62929281606705, 786.20363004895114, 787.2633811693554, 787.62203160400679, 789.29508393020092, 789.61004512726765, 790.03931548242906, 790.35709679201807, 791.0828094347853, 791.73717363361197, 791.97331127684652, 792.71791324590993, 793.06678574475961, 794.98139997077328, 795.32229878982457, 795.63519380363152, 796.82109138936698, 798.41143517933767, 799.48274939824012, 800.16142083896614, 800.30479564419352, 800.49435920445626, 802.90347513080974, 805.07753441120576, 805.7237779766856, 806.28702137276957, 806.47523095940721, 806.73846562774611, 807.8371264761231, 809.0310356681631, 811.35490055048228, 811.4583836293167, 812.13813869088335, 813.66263366009366, 814.13319143544459, 814.68945196747359, 815.0691165418117, 816.38360030966555, 817.3115857676878, 818.45941463047734, 821.21005808540929, 822.99208869105064, 823.56125043322174, 825.24533199362475, 827.32349836794231, 827.37538658588323, 829.78676485236394, 829.91692875719377, 831.71944693216994, 832.4391961972691, 832.54493127310366, 835.82101639774214, 837.59115948518286, 838.38761901337364, 838.41136527233596, 838.66711863768296, 839.55630160549481, 839.88221607043499, 841.64242212097122, 842.55920713533044, 844.07741457828524, 844.3379935157983, 844.75975962708333, 845.44240330872981, 846.85060683307643, 847.87338624755705, 848.48107262293229, 848.73373339627528, 849.61376339417609, 849.87146162801355, 850.22600814199518, 853.24463811228566, 854.28816789502548, 855.84617313548688, 856.30996796861803, 856.33104975402205, 856.76559425053756, 857.09420088305239, 857.3188002681826, 857.38961050418709, 857.80854778197181, 858.85769951198756, 862.96768973824896, 864.41934064194413, 868.6223108777175, 868.7444940249884, 869.91322833381184, 872.66882653218488, 872.70768630599275, 873.46933431912009, 874.49841669598391, 874.61949992710856, 874.82092037392806, 875.89333829099485, 876.10547343672033, 876.67256825140862, 877.37092311198955, 879.66689249093145, 879.73986892846665, 880.08884550420373, 882.37408637178464, 882.64303203473094, 882.89271090686157, 882.91745479938709, 883.79665580142807, 884.38683101861568, 884.53750636784218, 884.87060535151045, 885.32727602104148, 885.75555833181534, 886.27468871532403, 887.99262915237125, 888.62691469943695, 889.06632159316541, 889.51324224971484, 889.81829667606041, 890.40258086553922, 890.91650677467942, 891.90411569047546, 893.53926091673679, 894.02995881559821, 894.58779051340275, 895.03002902188166, 896.27708702822838, 896.57119941282406, 897.32146469678025, 897.89745687444668, 899.0456623879744, 900.29113765900263, 903.03394345811409, 903.32524461452556, 903.95990209082595, 904.11220654155375, 906.57292827359788, 908.42509189188013, 910.03394418523351, 910.38521758228501, 912.29870098121353, 912.67770463919692, 913.14289594757247, 916.31206609053811, 917.50892125578059, 918.54016128785236, 918.67700793034044, 920.0487354057384, 920.38539613309774, 922.89566111138549, 923.29947008039608, 923.76485859121169, 924.95941152826833, 925.02393680426201, 925.05420860431491, 925.24108187168872, 925.48918710412249, 925.51499890507478, 925.54368596435131, 927.24583805416046, 927.40999117165563, 928.27760486905981, 929.79752914140875, 929.87515494929062, 931.06323334922035, 932.68890953704465, 933.4127201477778, 933.67920414580328, 934.40686006365445, 936.48898720176373, 937.44131188377037, 937.66038935344397, 938.57710099924452, 941.01817101474353, 941.94481903368865, 942.42998206037726, 942.62293924316361, 943.16410821189766, 943.36522248748167, 944.8314361318271, 946.63625255462705, 946.92598740049402, 948.11615299935841, 948.42679590423188, 948.90364832580678, 950.57528251901078, 951.52486256589884, 952.32138964688875, 952.64025022314775, 953.07382010785705, 953.98436335283975, 954.64060613969468, 954.93935640063307, 955.93737301615283, 956.22062055432434, 956.68804446128581, 958.87491374377328, 959.31028820474023, 960.64257990000283, 964.72453361713519, 965.29491504974931, 965.72517740899809, 966.99285564592583, 969.96002045585942, 970.98881338849549, 971.73216715790488, 971.93567130108568, 978.33252578188728, 979.66787455618476, 980.41954908340153, 980.57862743688861, 981.36740454223377, 982.35961167057792, 982.66892070433551, 982.9580965489771, 983.54771435887699, 983.57873495764034, 985.20715272099937, 986.77339351525666, 986.93405105519389, 987.28637325828765, 987.39538708105795, 990.51258236284059, 990.78641175822588, 991.13474330749443, 992.0331087262532, 993.28536723223067, 994.8013867536929, 995.71246779337446, 997.37363210059209, 998.30366022378121, 1000.4101843370673]),array([8.1447891162576447, 8.1833935376382474, 8.7033011701497731, 10.164527817610225, 10.298337172467061, 11.785124713283382, 11.876079027418189, 12.356845013913368, 12.761455557434813, 14.701710925513556, 16.958731495022466, 17.378596948789287, 19.39646012594396, 21.739090855340923, 22.684846590701145, 25.248082262105402, 26.356419313282164, 26.451517202360201, 27.163568692689491, 29.617715067240738, 29.763836816667158, 30.501000084250339, 30.709643067303798, 30.800600620378688, 31.29565053892356, 32.086641926113167, 33.458408310728267, 39.269633475682333, 40.228233541697733, 40.603095202808149, 41.535825123381898, 41.581869760380776, 43.322807516692642, 44.111113806310613, 45.390873845383609, 46.190948785565681, 48.202786202939272, 49.348272483729538, 49.49223993228545, 50.469133922021001, 50.696257453798026, 53.023215083887052, 53.464877294551215, 54.352265014007557, 56.199856811636678, 57.704200003886847, 58.092339821109135, 58.294556867392203, 59.848789492028921, 60.650579786729914, 62.437653889225736, 63.011225631338476, 63.093052175706831, 67.344169119661004, 67.466151820938578, 67.779975084672159, 67.827678628426824, 69.216006653704028, 70.155206389326636, 70.628938141662815, 74.262549792308548, 78.177865358598964, 78.23421996215329, 78.688398251398468, 81.538113559668176, 87.107659471066299, 87.414059367511541, 88.089757765055509, 88.818552904536745, 89.166177865406368, 89.295684355284124, 90.797727617071772, 91.502411100561176, 92.740304460999326, 95.671504530161826, 97.95143097371367, 101.52262653682631, 102.25529273970388, 102.34125438905583, 102.88192197421061, 102.95457525867144, 103.42464172785178, 104.33342365012422, 106.2047369918493, 106.38176517843569, 107.43011250257874, 108.21817097942538, 108.6281578156312, 109.15885515631025, 109.63843683483829, 110.141420352452, 110.80502730958568, 111.1791543917506, 111.62991429578624, 113.82248288475292, 113.93193477939077, 115.13349358872395, 116.00398266031004, 119.07442688926083, 119.61421259441518, 121.6538952999865, 123.08243044667685, 124.38348006045328, 124.52882963846035, 124.62071543979957, 125.69109460795673, 127.39950532272798, 128.32908440986031, 128.57832419934084, 128.85053875971229, 129.0255464288052, 129.55689775020019, 130.45527641083339, 130.85637267548464, 131.39595856029547, 132.25207439235126, 133.25450648700365, 135.06409371996097, 136.01431951014141, 138.63379012708054, 139.13909854626152, 140.36315610681257, 140.42143785267129, 140.60474982362683, 140.88228938606986, 141.23882905292055, 144.22923624274137, 145.40361847431092, 146.1057831166782, 147.26865927500253, 148.0082089304791, 149.17461714376478, 149.92705290614495, 150.06171427735643, 150.29617955055477, 150.3717444930036, 150.82263468839525, 153.61429219219428, 153.9951335437527, 154.47660427196223, 154.64498561928878, 155.3812383244794, 159.34851633533557, 159.42352074820127, 159.55205021655564, 159.95924485226075, 159.98589864731088, 160.16216794838962, 161.82683589804091, 163.41976171898807, 166.27025558360333, 170.7037904679998, 172.81006201173659, 175.26073607591792, 175.86280211327002, 176.10541941404145, 176.72223203723718, 176.74819272226514, 177.50500479457173, 179.21627554429043, 180.26744747470775, 182.62278676709803, 182.86827863948463, 182.89306534194674, 183.58217129913277, 186.30246166777067, 187.43161447214737, 187.67526908312732, 188.17871893332853, 188.70519320062112, 189.91669860354233, 191.68931853280529, 195.52953920068907, 195.92637485886334, 196.20309670017596, 199.54228016486425, 199.84636591621387, 200.63177623174991, 204.46759136440849, 205.01352263914143, 205.38128222775339, 205.71803194562494, 206.28110104302917, 206.71825442543692, 207.22842302089151, 209.99566069600115, 210.08603000321057, 210.5560646265462, 210.61676203979357, 210.87135293147651, 211.08703829920717, 211.28648422943715, 211.93541634487264, 212.74189031430993, 213.43887964829148, 213.49674100637648, 215.36712846357813, 215.52631405846293, 217.610394512102, 217.93616785968976, 217.96034903137817, 219.05723137215617, 219.17744038928711, 220.67217887881529, 221.43219710010624, 221.60109081895294, 222.46322425799741, 224.21490745317922, 224.57194548227125, 224.71581297032014, 227.97832771232672, 228.73079426553028, 229.16907158737266, 230.4712150006512, 230.7409250094837, 231.0734513217414, 231.43903954974797, 232.88409113511165, 234.61488338992521, 234.65247947115012, 235.14495972066865, 236.35325679341511, 238.69061163797474, 240.04131245867887, 240.16278332032388, 240.45272871173435, 240.60714708725567, 241.14353588937843, 241.21946771169436, 242.41972376367315, 243.47581374664065, 243.74302319368923, 243.86903911752913, 245.04949867332124, 245.44966724303902, 245.47694018534327, 245.77023704973084, 246.1961761830045, 247.2280660665871, 247.6300653851757, 247.95932869696119, 249.82355713482943, 251.34098639862989, 252.5061771476563, 253.69120944330879, 254.66667167112385, 259.33746831998752, 260.75466501367328, 264.14967221363838, 264.54268808275901, 265.03488989118131, 265.57272084640289, 266.22019768186732, 269.01426644975999, 269.09724226281395, 269.86501173979593, 271.60867213358324, 272.67582589875065, 273.29174684643618, 273.31263729107849, 273.80413233437139, 275.42828712290174, 276.75044661289684, 277.3095003399784, 277.44403044426991, 277.74729063324151, 278.15445087146003, 282.75168921160372, 283.00447018758052, 284.49678460700733, 284.91978267896667, 286.35840616361355, 287.73530964314625, 288.16680288429092, 289.41183042841857, 290.57428624789287, 291.02556134842217, 291.06083870680146, 291.48418610283949, 291.59236658299722, 291.81117754680218, 292.1866172403806, 292.80330730612513, 293.39695360965095, 293.67535075790363, 294.14213072787402, 296.57536633540451, 297.24081928114566, 297.90480319014534, 299.09704564308345, 301.21322029760415, 303.47318358265073, 303.57776534014926, 307.78414159740629, 308.6197738982525, 310.31271034553436, 311.68109222083888, 312.46993679624279, 312.94981797484161, 313.79089587004512, 314.18412578104341, 315.46521794935671, 315.90242594956777, 316.30496358620496, 317.15022170532603, 318.28496695699454, 319.11367065453129, 320.21258854069373, 321.09471427536016, 321.47323092898898, 322.603719349843, 324.27203278761596, 324.58038888219323, 324.95108567916344, 325.78988526840823, 328.65104352776262, 328.88360524500553, 331.95885997304077, 332.20503555189345, 332.42907367342724, 334.75877269935455, 336.89579568773763, 337.01807947218612, 338.72733958227775, 341.00764690704915, 343.63316904195767, 345.21705752262824, 347.49853309498741, 349.04695484920302, 350.23736337193435, 352.70773080937164, 355.32107802810549, 358.34069729148575, 358.36084318588519, 362.30133531832348, 362.35680478956937, 362.74060573468091, 362.77895930847541, 362.8704204992307, 363.47249617655535, 363.54676826407933, 366.75774372948609, 367.21587126604737, 369.54641278640764, 370.44480593908787, 372.95037165454954, 373.45107559932592, 375.11027070950854, 375.46441582703147, 376.87646307222627, 377.19201793995421, 382.13226522227149, 383.45327510681955, 383.57102269837475, 384.48819762429349, 385.01478581572508, 385.18834866690065, 385.34300159978073, 387.31851365759832, 388.38275625468032, 389.02030246678919, 389.33518373462294, 390.36325556667731, 390.5469621746314, 392.58599344077498, 393.89201724806281, 395.88598724030118, 396.49344716739176, 396.51484097250432, 397.54419763406844, 397.74323774689725, 401.64624312593355, 402.60460309483034, 403.26741943751301, 404.65681997551798, 404.78410294778138, 406.60079348136662, 406.8790474990887, 408.27111826685677, 410.01409279787816, 410.45664205782845, 412.63708889259937, 414.33917962281305, 417.01866803835566, 417.16675359324944, 419.01303355171405, 421.06111059672247, 421.18114917507336, 422.63682573169592, 424.78427539444817, 426.81077084588782, 427.85522283675647, 428.50247531304763, 428.54605749522705, 429.13545306701934, 429.60202167250242, 430.4282829405704, 430.51505394654538, 430.96691122475283, 431.35818294111743, 431.72086081465091, 432.9578689146075, 433.59808151250496, 434.40455905140351, 434.54882270561808, 436.26025740491599, 437.42731613978424, 440.34017560787697, 440.60207233600795, 441.53755023165962, 442.38693445809793, 442.73769741155076, 444.84321338907364, 444.96749336884113, 445.69160693700525, 447.07966051652039, 447.85908625109874, 448.5030725860845, 450.47282275806703, 452.09258143895772, 452.67046036610435, 453.41579151153672, 453.47597056347394, 455.40478647164048, 456.48590964919174, 459.0756830099794, 459.25586021352581, 459.60598694359174, 461.60584657545974, 462.2987542795363, 462.44603071482766, 462.50904976677214, 466.44950195878772, 466.78237110631829, 467.46673182771303, 467.80906605181201, 468.00655013214083, 468.29632431042586, 470.27360563187796, 470.40012702234338, 470.91246216687028, 470.95857289064077, 472.45247538098204, 473.41733075807537, 473.48002406257029, 473.84055173455323, 474.24846652316137, 477.77731148863251, 480.10402781556871, 480.2395550684455, 484.64050652957877, 487.26714435579078, 488.3600287242985, 489.20536311057003, 489.3287734525029, 490.14368570855464, 492.25962907410491, 493.16527557576353, 493.42826725641993, 494.38494423792611, 495.71066945401219, 497.80016858387722, 498.81914288384377, 499.51969589245857, 499.92039579326058, 499.96854597237598, 499.99475425763245, 506.04950391259325, 506.21000261462501, 506.76800105891738, 507.40492676162199, 507.62986355682784, 509.13064793658629, 509.17238331300479, 510.09573428283773, 510.87831800862921, 512.3347474185623, 512.43527167432603, 512.53702773309681, 514.98835614057339, 516.10249564079948, 516.30732948788739, 516.73798232683532, 517.08249157617183, 517.17045535180546, 517.76173501254368, 520.44692317257375, 521.57847547270467, 521.65363659028969, 522.31192450827712, 522.68513351147044, 523.17842013106031, 525.26417276170878, 526.70026922139527, 526.73399866805573, 526.87046248496426, 528.1532641078453, 528.2599625353173, 528.70795789525539, 529.06191908513404, 529.38073376730574, 529.69661635009857, 531.08343716785168, 531.25282290847508, 531.39108351105597, 532.53281394280077, 532.71915323498752, 532.81261867095918, 534.59217403671119, 535.18885686361273, 536.10864423680994, 536.24617962603088, 536.87771118692365, 537.01037845707151, 537.52235931629912, 538.088411282994, 539.37302967870789, 540.92498115987871, 543.17716253303627, 544.73590483243891, 547.50871303304632, 548.19500599448088, 548.37448635308738, 550.419113126512, 550.88461656148013, 551.45412579321555, 551.80784614183472, 554.52268437209773, 554.91139748624369, 556.90013710618382, 557.59293358887794, 557.85078082706218, 560.44629577638807, 561.74809693586587, 562.53626639629692, 566.83850212989785, 567.15266156588052, 568.29675598823985, 568.63930846772769, 570.58343916183765, 571.60103755236094, 571.78903757393721, 574.24140194005247, 574.40606623548831, 574.54800364192602, 574.60542224822132, 575.52005083986455, 576.6539837952206, 578.23541323958625, 580.1423053195474, 581.28848733526013, 581.89969177570163, 582.49257262945366, 585.72137447838531, 587.64284193512776, 588.21673946774365, 588.67181200080438, 589.21086259261347, 589.38187836580869, 591.44622717904804, 591.55553848410216, 591.89598458018929, 592.65688773601903, 593.96924645493027, 594.63404825995985, 596.06639491948158, 596.12142806677582, 596.18784843486674, 597.88223015717108, 599.01602849320909, 600.02098949661479, 601.5907793328505, 602.91261884136327, 603.2443361793479, 605.27833706754359, 606.0709092938913, 606.15566473163085, 608.27276183783511, 610.8083777050017, 610.94912983975371, 611.57086370892171, 611.66704631107859, 611.7829134577911, 612.05670863408398, 613.37473303266574, 615.02872100147601, 615.38029437676266, 616.06234979697592, 617.27569477887607, 618.50117158640273, 618.54716612004677, 618.78042585878893, 619.78614578474992, 621.43689944434288, 622.03055957501556, 622.46690403751313, 622.79123330488233, 623.13034947443646, 625.54499427411918, 625.88757018263891, 627.16371294903149, 629.10298154256827, 634.18698975526922, 635.19053566216962, 635.8401391373153, 637.13736599826143, 637.32221155296304, 639.28191665996928, 642.57045697637932, 645.6566244090784, 646.39670238287647, 647.02334136426839, 647.29967095861787, 647.49195342994642, 648.25538899202797, 650.12667785020733, 652.20907464466745, 652.9129704740958, 653.01083811241665, 653.13370868891116, 656.31773356060899, 657.19716736481655, 657.87992378095714, 658.01816928784581, 658.44520681507538, 659.07555251860151, 659.11263451111529, 659.98271693846777, 663.88346484604403, 665.15962249768256, 665.30620386556609, 669.41523384820232, 670.57491977513484, 670.73787758063031, 670.85420930198734, 671.42758292688939, 672.46001148310847, 672.61701968356397, 673.0586770666556, 673.16212585121957, 673.20905667499801, 675.55206565293156, 678.58537597062593, 679.12237023204045, 679.45638342427276, 679.48781885339349, 679.86776224629818, 681.08349825798712, 681.46561294379831, 683.06162741122296, 683.29050285173719, 685.1729764772623, 686.03197488552883, 686.90239514128052, 690.26842726081918, 690.98682739976834, 693.10457083201402, 695.07993058768761, 696.52541632517227, 697.22000816300158, 697.24335961169663, 699.18074620621587, 700.04977891266537, 700.10556611207176, 700.17377907868206, 701.08768716984071, 701.38492518239286, 701.53331069712272, 702.90685134210321, 703.24031808389122, 704.22274070854326, 706.27344412084437, 708.74429614044175, 711.40989961200762, 713.58993461557714, 713.80576740263382, 715.30248675022165, 716.68775670717832, 718.55511201551894, 719.78109158747236, 721.46389232706701, 721.94590101433562, 722.05479438906798, 723.68890990328885, 723.77118704127486, 724.55032866322642, 724.86102817133963, 725.58175896028877, 725.6019792368262, 727.29903819760443, 731.80390542840132, 732.00484369134392, 732.60061197094512, 732.6628407043853, 732.70085869566071, 733.59132579393565, 733.74163156540362, 734.05898257322087, 734.32926673650172, 735.37529031555391, 736.99509185495708, 739.35049496625322, 740.13542202059966, 740.15585749253216, 740.22653941001442, 740.44358132297702, 741.89977968498113, 742.00681860902023, 742.17660750485857, 743.31138875413455, 743.4304686165076, 743.74443367562401, 744.2083528590482, 744.45831837694709, 745.14438692305862, 745.51422090032656, 745.64445277138907, 745.88512181158717, 746.67461436021404, 748.1337826768646, 750.19063578599105, 751.2673708924234, 753.35745946212899, 753.41351338957429, 753.85624870649815, 754.0267195233489, 755.68779146532904, 756.42945153177459, 756.456643882957, 756.59678968401863, 757.45423186747996, 758.15379328386746, 759.84971968483683, 760.5199366278016, 761.11721502378236, 762.5829035113394, 766.41474379618057, 767.17030048941706, 768.72637921339947, 770.01540997670168, 772.06091537448992, 772.61120425949866, 773.31349481217035, 773.43940306337129, 773.74890916202708, 773.99227814109042, 775.23895562384564, 777.75911732774239, 777.92145854427702, 779.57335882445955, 781.19509356381832, 782.09479228779469, 783.58892488528068, 783.7443785532289, 784.01034494448163, 785.19224862615545, 786.74794497301571, 787.07174597133087, 790.14664178040016, 791.837068625504, 792.35244935218282, 794.18564088685594, 797.43420708608244, 798.05249516270908, 799.03249337540717, 799.7865122904268, 799.98031066643296, 801.39241791265192, 801.73340673193479, 802.28293009061179, 803.44313631892715, 804.50015511409595, 804.58534151366882, 805.13779230601153, 805.74757283280383, 805.83943765697722, 806.94681011815726, 807.68613798161459, 811.58938686279851, 812.64349545668495, 813.00399798320859, 813.7685850762623, 815.39502929074217, 815.60946467921474, 815.94162430317044, 816.59006078158711, 819.99610605444502, 821.6767839236968, 825.07146693854702, 826.22820354392434, 827.02630131524711, 827.23357403648231, 828.37750797380886, 828.99595316531088, 829.41289583837761, 829.88922656349621, 830.07271964738584, 830.25338361993431, 831.34452149773711, 832.36262879775484, 833.22673911540107, 834.47327200045106, 837.04395726604901, 837.16408620164088, 838.26913536835161, 838.59421625334028, 839.4695010366496, 840.30726271580738, 840.46773260228736, 841.49293076080744, 843.54380861080165, 843.83065621322976, 844.36328205545317, 845.01191870686262, 845.58124740891128, 846.04526705536728, 849.37102374475273, 852.33533915297494, 852.57217059568268, 852.67962770696829, 858.63202155554848, 861.17769099696477, 861.5387543565937, 862.11332485411936, 862.22882360213328, 862.50511627463823, 863.6050747861492, 864.36670161192592, 864.74089436021757, 866.06039445577801, 866.26725289886417, 866.4020877933101, 866.59990514326705, 869.8393698973274, 870.45364158694531, 872.95453158851046, 873.90459438072048, 875.41776058034759, 877.96867200090173, 880.30237642304996, 880.86972008111479, 882.07437098210926, 882.14120960450646, 882.45152506206432, 883.7843718439442, 884.78494764820789, 885.92316339670367, 887.51556427711148, 888.61497394987521, 890.25942079699109, 890.96434817564329, 891.03588061175606, 894.04505006106842, 894.18605096889337, 894.70344322764151, 899.14118410735796, 899.23860133602136, 899.36380827719313, 901.70996537710141, 904.02834632170197, 905.50056600338962, 906.2533034882465, 906.58510555446423, 907.45292400648691, 907.76494523778592, 908.22790062679326, 909.28807513040147, 910.57063121747035, 911.16994839206552, 913.0192240967848, 913.18189490201507, 914.44651639998096, 915.14157629839735, 915.89382362402444, 916.72351096672935, 916.84627149704863, 918.93510300511014, 921.22103811162333, 921.36602935378585, 922.31484619220009, 922.59504496200259, 923.15592399577747, 923.4828980512217, 924.29385047369942, 926.8736440676156, 927.24713018559487, 928.8102418022205, 929.80786094936798, 930.42875258379968, 930.72172309044959, 931.74732456789127, 931.7945334938297, 932.36740895851153, 932.66181066527542, 932.9583010392613, 933.0963537618926, 935.0809011458432, 936.71282811914341, 936.98780262242212, 938.78190712637229, 939.20994774526901, 939.8550338920611, 939.89013449197398, 941.06084542568419, 943.36868640242926, 943.75010347957925, 945.43263562094614, 945.73618949510069, 946.28135158585656, 947.70723536917171, 948.18926854288009, 949.35844338724155, 949.94770819550081, 954.05719192470269, 954.15764186639706, 954.75820589340765, 956.32844224937855, 957.87741774653557, 959.09886749236421, 959.32406197243188, 959.78123920003588, 960.60097327345136, 960.93272856006274, 961.71196913322819, 961.89483210100752, 962.2131151088073, 964.11097525153946, 965.05674793317064, 965.82701999754545, 966.2898646401427, 968.24268926293678, 970.27569781031775, 971.12482147120011, 971.30503424257643, 972.28990161534716, 972.34478481563178, 972.60767034688024, 973.21670847650591, 973.6833908606776, 976.14612780816537, 976.32301453907371, 976.70941953864735, 976.89904553250926, 977.37587168315235, 978.32446585643163, 978.44333897173067, 980.61563889608135, 980.64752884682298, 981.52339122410558, 982.35211617861796, 982.8902218600291, 983.70317299912335, 985.29405813525204, 986.67119649598772, 986.93304786859005, 989.27857268238324, 991.56576872438757, 992.80871279702683, 992.8294196335554, 993.31563165735679, 993.55431960466103, 994.02104326821939, 995.28508237557264, 995.36252022109738, 995.92574555016995, 996.49533638529374, 996.56630701935433, 997.60076492370717, 1002.5973234931668]),array([79.588210067788779, 79.619038450610603, 80.076845248151471, 84.720019522023449, 86.329719114381163, 87.914777635464262, 89.048931060466316, 90.310130126067008, 93.405497230650141, 94.196720345294224, 94.743482251612789, 96.619515029769317, 96.686545604425319, 96.926699786042732, 97.00923222828834, 97.182696382503551, 97.673764238712536, 98.284517106382154, 99.023733606415661, 99.609490114899657, 100.81956858987897, 100.9527853881536, 101.16179421640372, 103.83272649014002, 104.14900244528719, 105.80341320899507, 105.93697389569802, 106.25088158662668, 109.29585158562868, 109.6662703039045, 109.80861143783433, 110.30690986428392, 110.7808208928851, 110.87895102273947, 113.49628418258793, 113.97182353796927, 114.94819919737374, 115.8314110513076, 116.27510559604502, 118.4232355466867, 118.56475447755165, 122.68758284508989, 123.87153688362588, 124.50943329401616, 126.97858718565006, 127.90258555383464, 128.25705046044291, 129.02278676802783, 130.19631965482671, 130.25627439406693, 130.78608689604229, 131.84801191653352, 132.84709069502182, 133.19450515194194, 133.47699330900622, 134.06410711105826, 134.27816353640435, 134.80227971049314, 134.98836809636472, 135.58246291943405, 136.26729036033004, 138.90350357882292, 139.36281574642572, 141.54389609269356, 141.61421487444414, 141.9295214056649, 142.28294571270476, 144.9695481713317, 148.13358747604866, 148.49001661459408, 150.88896526177106, 152.06336221192853, 152.77689033894208, 156.22796602170345, 156.57849144570699, 157.62212248375599, 159.77430956355843, 162.41853424612947, 163.13238403535482, 163.38965018349873, 166.76348861445732, 168.37825174591543, 168.40150951991669, 168.91222847258183, 169.23592195724669, 170.43254740840925, 170.50564060791635, 171.31047078396509, 171.56238926353572, 172.11478061073436, 172.24391386546972, 172.9104833279695, 173.69007765009718, 173.97082392385849, 177.99616175148265, 181.11877541099162, 181.98366830985941, 183.29193353420976, 183.63887738882062, 183.90781195321537, 184.29183694351678, 185.19187005256609, 188.65694892765677, 190.08436698705157, 190.21888368192501, 191.83561484094147, 192.78859339901436, 194.09533016252755, 194.56231329085642, 196.20686530444931, 196.65751231116542, 197.99934586789934, 199.28528800476118, 199.54695408214246, 201.14995881565366, 201.24301634928946, 203.44504865206773, 204.59029794557117, 205.92967607447406, 205.96384932997668, 206.16618153494625, 206.31677357540465, 206.92810153050394, 208.21287847646445, 209.15277021988706, 211.68731067436212, 211.98321144680827, 213.3493391319027, 216.36630182081001, 216.75427243661622, 216.96842992519367, 217.30552185933388, 217.58743844028095, 218.06078257177049, 219.1365902194471, 220.05296903591531, 222.48037991734137, 223.13297480527694, 224.29525152615531, 224.62799765021964, 230.11412167455069, 230.88115532718516, 231.14885810502, 231.92411807833923, 232.19353121888318, 232.39724031613815, 233.02117917911434, 235.46083995458011, 235.60997852662621, 236.38165346373128, 236.58035155312595, 237.9305268823436, 238.49632115010078, 241.1541223885244, 241.2744699098244, 241.71607253199883, 242.23135361610866, 242.25432269169207, 242.5082157979586, 243.69960410104653, 245.48256043900241, 248.46777551413035, 249.22621168500913, 249.31711656140726, 250.12960226233889, 250.16289036752519, 250.22734880384741, 251.1761158097755, 252.49519124456808, 253.00923069119341, 254.4177621581504, 255.66517994125925, 255.90936645375731, 257.53691847129704, 258.55325128103425, 260.18334390443152, 261.12227373815506, 261.37915961995191, 261.93961219984379, 262.05275632547693, 262.61021405051758, 262.93816023523505, 264.79322307611307, 265.62549378504792, 265.98958243842947, 266.37147893709209, 267.50448808037333, 268.48107161924349, 270.21656469697945, 271.77157024296162, 272.01751373619402, 272.46295003395124, 275.60771530443481, 279.44326430703705, 281.4461987074842, 282.19182509537706, 282.41323821413386, 282.54586706893855, 283.12002366393511, 283.15266448213941, 284.49352214462749, 285.01652221661283, 286.06302872153816, 287.22508721203116, 290.83201426294522, 291.72603100750342, 292.94413852642401, 293.1823211984613, 293.23462533378586, 293.2848563293594, 296.13965346426232, 297.20089514249946, 297.6883598322259, 298.74831208149624, 299.8197872110166, 301.10656707628965, 301.53469001808588, 302.30374162460708, 302.77669443710369, 304.34129433277491, 305.0155042550515, 305.81978581534582, 306.53533333140666, 307.47775385581377, 308.18837876111576, 308.50866577702766, 310.60956965420547, 310.93339733949557, 314.88626552427331, 316.07607622628871, 318.75341585830762, 319.14828559784337, 319.43404147677427, 319.80661531888887, 320.72325002652491, 323.59283246776181, 323.83244445204002, 325.82114067476903, 327.4072295890208, 329.64186942996622, 331.06230172094479, 331.34770850347206, 331.38145820188163, 331.47477708548149, 334.92906405201097, 338.25985335813988, 339.40352627377547, 340.39524781728744, 340.72758051117347, 341.37898733951562, 342.79986529483392, 343.55017420323412, 344.65858624311693, 344.75424671400594, 345.91887279308406, 348.10591084698422, 348.29506799006629, 350.68536072405175, 352.61219477308975, 352.82342804772372, 353.97233025192338, 354.13952687013767, 358.7204006115536, 360.09741815201016, 361.32464953367008, 362.1288565946108, 362.37751174642403, 363.79080289544652, 364.33010706220807, 365.09187208323982, 365.84264334737964, 366.83977010125392, 369.80516905574581, 370.32706127380709, 370.83731117416409, 371.6264472644699, 372.44278083304459, 374.27996705015062, 377.05591681274245, 378.82138716950936, 379.51826071213321, 379.59070239960482, 379.62680130624102, 382.7169368544686, 383.36278617544838, 383.71277911329179, 383.94660745171541, 384.16264155708456, 384.56956113903942, 385.0448318021393, 386.38233285741643, 386.80433251184974, 387.47512647360105, 389.50925904957143, 390.3120949885203, 390.582396821994, 390.67460278081558, 391.27365881778758, 393.27072238401894, 393.72112123852298, 394.4038688164477, 395.66799739309471, 396.20489883902485, 396.36392238612228, 396.38879330332435, 397.01240262589783, 399.67143030004104, 400.96043468628221, 403.19684411231765, 404.73067619546811, 404.8638384172998, 405.60846747632405, 408.24771349371304, 408.52426091531396, 409.1324889042985, 409.70786600650837, 411.16581855190759, 411.19864462877729, 411.43321117020724, 411.78515891795251, 413.29067261121884, 413.62698279163425, 415.03521691112405, 418.04267693407428, 418.28077436639728, 419.66858372880432, 421.24643590586447, 422.52881032788338, 422.89247150940326, 427.13741144262133, 428.30377461038211, 432.14515377206499, 432.80777571853463, 433.4954979198385, 434.23272018499136, 435.77735527820766, 436.56934253373123, 436.80458472517267, 436.87203771272613, 438.68026794307877, 440.33151899035778, 443.10960143635504, 443.47246791998077, 444.76279107496043, 445.16449495166626, 445.44493300715084, 445.71798573681912, 447.08968992275248, 447.4166702446866, 447.92171275505535, 449.03749624747934, 449.42000782451811, 451.01714899290533, 451.12442188538108, 451.20468192490534, 451.84565947010941, 452.21109372442078, 452.83982045442315, 452.98728659416327, 453.71807401083987, 455.54814226506073, 455.59030357091984, 456.08952448681038, 456.12046495818544, 457.51023704835887, 457.66181352064586, 458.15279903301695, 459.07808658944418, 459.7153578099867, 467.37881345888604, 471.91013440780972, 472.59756907540509, 472.89027247275823, 476.6106311933612, 479.21534760149336, 481.65372598802423, 481.91369714131389, 482.31192112321344, 483.17359769118661, 483.45071685482395, 484.28073706773228, 484.43879829828239, 484.91478021944317, 489.02958476374619, 491.11164934656387, 491.39452902338405, 491.93561328227128, 493.8541959091159, 495.95200154131203, 497.00648070986529, 498.81744488298102, 499.14701673607345, 501.01299990559363, 502.35513844390124, 502.91247970549585, 503.25225749237137, 503.47755552554702, 504.92787548103678, 505.97536581082801, 506.3733881943345, 507.00235952865478, 510.96414750384224, 512.08102569940115, 512.40064128388474, 515.68128675525327, 515.80025709643519, 517.44900864060116, 518.74986610093936, 525.24050667088795, 526.37426296482511, 526.70210366802144, 527.48073579760683, 530.32604888488106, 531.14873400596116, 534.27351024774316, 536.9504754715349, 537.32833467813259, 538.92673087671562, 540.06847701086735, 541.00357082363803, 541.3254607112417, 542.35099406293239, 544.43413982274069, 545.16624132587867, 545.59126705805761, 546.04189453536719, 547.92769468956055, 549.06994918772466, 550.52631271831308, 553.13809519282938, 553.40187822822747, 555.46937042132697, 555.78359124275937, 557.99148677854396, 559.08510844802936, 559.17640876108771, 562.01619608155102, 562.65165317133597, 565.97719242579478, 570.58835348404341, 570.89743057346197, 572.45024261071922, 573.93295515183047, 574.12912161112638, 574.78513296282745, 576.79364184391659, 577.44599588120741, 577.71562979486339, 580.71027581498936, 583.97866393456979, 586.20489863196337, 586.95643886395999, 587.07171638491559, 588.70176393525185, 589.63254526346384, 591.22285247258753, 592.82887503783377, 593.96786326924928, 595.02171318674891, 595.65098795848803, 597.41366696693194, 597.51014970444078, 600.65701811070664, 602.97842803677474, 608.3670102782911, 611.23188503833785, 613.66985250930543, 614.8538254305596, 615.62433129649833, 616.39557089129005, 617.53482468016534, 617.86654980419269, 618.96636457014824, 620.77495054340989, 621.81215294801143, 622.78800511453016, 623.36443727798985, 624.11662140077556, 624.69756659281302, 625.16477981367666, 625.28105882532009, 625.63902709526735, 625.70622272909134, 625.90874002396117, 630.29881892628873, 631.59176986800719, 632.76384650283774, 633.17128639845532, 633.77930122323835, 634.79231902591846, 634.94705434236971, 636.16283576214539, 636.98231391397144, 637.76191565906151, 640.15299336399619, 640.1992122991029, 640.35274290678137, 641.88032372754412, 643.94861424425267, 645.08580783640912, 645.4118194673996, 646.24570019700332, 651.86221945958448, 654.30787297005497, 656.46438500276486, 657.01606550204815, 657.35801894253825, 659.28889009000284, 659.86452393559352, 661.34243731354252, 663.42803198306081, 663.55675962196415, 664.2524539978582, 664.64084204673588, 664.73111817755478, 665.99842273887202, 666.1038426353366, 666.70251834992484, 666.74419215852265, 666.85963724432065, 667.1914248314522, 668.63274921983941, 670.17974176248345, 671.31313891510047, 671.66058036581671, 676.83089150377384, 677.42240899038882, 678.86981264899805, 680.483138176279, 680.69657939322065, 681.65272458962511, 682.89297676202216, 684.82799328374983, 685.15550286511473, 685.21475606435195, 685.41818969234419, 685.70844622133757, 686.16086223295224, 687.62061420849307, 688.48278817603193, 689.30300232357092, 693.87416292229568, 694.39604588317422, 696.15171675102636, 696.31415862008214, 696.38044984722649, 697.35429494567643, 699.06428137209559, 699.8058816274779, 701.35795773228915, 701.52256964269804, 702.62217352175662, 702.82097417892328, 704.37318957351067, 704.47597008923367, 704.80698825804961, 704.99120447533346, 706.19360336528166, 707.24569822157275, 708.75528240261065, 709.74128522789192, 709.99192863525127, 710.18227540101111, 710.89739207735397, 711.77286953113173, 711.81338688602216, 711.92059053553896, 712.02486959392809, 712.0489882694211, 712.89081917934243, 713.14840935027576, 715.2377232389922, 716.13042008768787, 717.73836284148774, 718.28528715866457, 718.54685828937443, 719.48186357961481, 721.56212287435028, 721.96899640164997, 722.9820222177184, 725.32768586917086, 726.75017543406557, 728.44097346099909, 728.52573644851736, 728.91511655355112, 729.22014290840377, 729.32937506710834, 729.71968205130577, 731.4192542610341, 732.18456816120852, 733.00689487028626, 733.98406420517074, 734.14311667918207, 734.31588118459399, 734.67029862436209, 735.00707899411213, 735.87040339048065, 738.19334884193756, 740.37554859119632, 740.50502055209517, 740.72800227637356, 740.8032590517538, 740.99174456485798, 742.65525493453254, 742.70406936049562, 745.08648113700428, 750.10367453278207, 751.3935585480566, 753.06585745900338, 753.4495044437956, 755.47984330062479, 755.81966592620779, 756.2414512623352, 756.26677732922678, 757.11039259985841, 757.2002920921301, 757.24120834087023, 757.69007946250963, 757.78799494802945, 757.91441978076693, 758.99578332986209, 759.74598244557922, 762.50376659839355, 763.26210023291014, 763.31062185895939, 764.37214569973344, 765.04336793484424, 765.84396471294326, 766.58576193040631, 766.62459996738141, 766.76218395310718, 768.19067415310371, 768.41388234115902, 769.31290002388801, 769.82799285328235, 770.27438686677181, 770.36588947899759, 770.84510522406038, 771.9858541037122, 773.06909182225581, 773.40716710789945, 774.84395844820688, 775.34506569125813, 775.48004288927643, 776.03729002647674, 777.92091292357736, 778.7547743377952, 780.26035944484431, 783.04275269002108, 783.18381961510113, 784.30844191944925, 784.93285754157591, 786.86380529944472, 787.78034828119291, 788.19993171187718, 788.54837556871246, 788.98090584405224, 789.37311342691476, 789.60145599970872, 790.58182211809901, 791.29903300228818, 791.98745912325342, 793.1496491126702, 793.79815027763914, 794.5730151586439, 794.80839283673777, 795.25099616336149, 797.13474760747988, 798.42770965982425, 800.7541081071962, 801.40213343941127, 803.26238175529318, 808.3191947612662, 809.29327455427313, 809.97624577293709, 810.55201535162735, 810.85438412239546, 811.16280990566031, 811.46961284370559, 811.72752435629707, 811.76111205005782, 814.45401754345971, 814.97399745887128, 818.30855950911109, 821.0039982337621, 821.17463127740189, 823.42682616094635, 823.74127762949126, 824.55149574182144, 825.51219913247655, 827.4607646040912, 827.91908227449414, 828.13354229064862, 829.32565386238286, 830.53733488249406, 830.96178320304716, 831.03258661608675, 831.24212824150584, 831.36630630498291, 833.48006937363948, 834.14410851964146, 836.1302998931842, 837.97477642108868, 841.46779054289095, 842.17373887889016, 842.25384287887937, 842.65982021185494, 844.80804618101013, 846.50977348138849, 848.84429400503188, 848.96245820977606, 849.54850388553712, 849.70364065147442, 851.83110571582358, 851.88090066325196, 854.63253609982644, 855.87205126429546, 855.98286674209442, 858.22252333747826, 860.42833754098785, 861.18931272848022, 861.22274730559457, 861.84863655434754, 862.81623414243484, 863.15066946130548, 864.07717444149375, 864.26141519291821, 865.32319925372337, 865.84905068557873, 866.51588084531966, 866.99107358294123, 869.67839577992811, 871.37731068361825, 871.70929882599887, 872.22260607802173, 872.31539133576189, 872.6599756113153, 873.77383663063506, 875.09920459861257, 875.40304573521871, 879.37926837648956, 879.93874340874288, 881.88566567191299, 883.18064907303915, 885.31552123897075, 885.75626210247219, 889.11550327147143, 891.11731934598356, 893.93213462909853, 895.78752145282681, 896.45088471476004, 896.73200997010895, 900.43602868929327, 901.12506453531591, 901.27963915476869, 901.75514498597238, 902.90190297263894, 907.54283176780507, 907.63636949096292, 907.76865532487375, 907.80777968966368, 908.60955957531314, 909.41078089059067, 909.72781119720196, 910.00855619921026, 911.11019032799641, 912.4912252149627, 914.81812433637651, 916.3230429572568, 917.31932705566726, 919.58862098045586, 920.05858983258804, 920.2579950143911, 921.996492674053, 922.43100393895611, 922.76264168322575, 922.80918966655065, 922.87678654622141, 924.03570982252893, 927.05060854917758, 930.41750917816591, 931.43353916092406, 931.86575090473411, 932.18774960673329, 934.00701430705919, 934.41435835526579, 936.0165119661483, 938.33745564915455, 938.75361567994241, 939.0942493815445, 939.28510337724413, 939.63724188374226, 939.73264584742662, 940.26191815991501, 941.20641068955388, 941.72886198637138, 942.45555576715083, 942.55146347701782, 942.89255388981906, 945.36586901690214, 946.79333002892417, 947.02485035279642, 947.51381636805695, 947.76031585235387, 949.82277294224366, 949.88992579419346, 950.95914726868182, 951.47824278793644, 952.15928782216633, 952.75192467634849, 953.02055727574259, 953.42456657854518, 954.13176066013671, 954.26864653138261, 954.45896933860786, 955.44962310451524, 956.02970581768375, 956.45151001591546, 957.4067858446665, 957.52689604700868, 957.87980849468465, 957.93349085795035, 959.71477908946554, 961.06035527994925, 961.60058446203072, 962.65088225282818, 963.06870438722979, 964.52717655431798, 966.58124978922149, 967.37429462271643, 968.50698579339928, 969.32022955358218, 970.18920523840052, 971.30291675442777, 971.52607668633652, 972.11318328513153, 972.25960387634132, 972.4724053278901, 974.38114744687368, 976.30373713861923, 976.50102665728571, 976.92877611378265, 980.15338073661826, 982.3126867152381, 983.95882637643604, 984.68141033273571, 985.54150588861182, 986.36080730801893, 988.25193320595599, 988.44123442990428, 989.07288651847955, 989.21684060593975, 990.54189345637997, 991.53553729194016, 991.58475177546848, 993.00303902106054, 993.69995212287267, 995.67219782666609, 997.01201899541525, 998.71945819218638, 1002.466300565864]),array([60.610921520450759, 61.029705106998676, 61.813116111022893, 62.466516909510325, 63.930748581500382, 64.294772215135851, 64.529046648252461, 64.939596271103142, 66.011439288838488, 66.872089055945409, 67.395417347553064, 67.973953949980924, 69.49853866538669, 71.156915152518778, 74.122145604760135, 78.093710156779949, 82.635537015088985, 83.055437141280166, 83.251671446954091, 83.743882233244463, 84.481779653362537, 86.047439828047303, 89.351298088794621, 89.532047763582099, 90.317587280796403, 90.366039188091747, 90.69979671905628, 91.809438814364484, 92.214569521029915, 93.067385941906906, 93.371479476336233, 93.935795116095449, 95.374359188492917, 98.573101789501564, 98.771392012897849, 99.120835326766596, 99.202985200183065, 101.58878362801894, 102.45669637805868, 102.65024725286887, 102.92388980474216, 104.68499991687695, 105.41531928724156, 105.54936457559393, 105.66387396905235, 106.28245506233239, 106.3644357679387, 106.77387907752038, 107.05724889513388, 107.50908527971885, 108.85194178923904, 109.03345110183258, 109.55023953870399, 109.85725964003956, 111.86259340819998, 112.4243514065128, 114.9147530810809, 115.61275729208413, 116.3791968496823, 116.92392191350361, 118.68340343489783, 122.02696348667311, 122.91615161918665, 123.19344616444572, 123.2184076565274, 124.82088494155768, 125.15771985785643, 128.13364740719746, 128.40599159300157, 128.47444100066696, 129.02520458604383, 129.32153212386356, 129.68595545117728, 130.20648659682075, 130.43633272733831, 131.28453608421501, 132.3122821521431, 133.99703705086108, 135.56933226029923, 135.88350999554109, 135.96916361018108, 136.35465539090552, 137.97945362406855, 138.8085355995172, 139.15158143750617, 139.22296794073955, 140.90533120714966, 142.31310740883367, 142.86186379184804, 143.82268397208952, 144.74300692037963, 145.57052298810288, 146.05409783883479, 146.52685196311685, 147.35126042130466, 147.78014381014819, 149.08492044740322, 154.49584798936027, 155.49600764340965, 156.66059631228154, 156.87288542273191, 161.10173016365002, 161.69783280989969, 162.52017162651268, 162.81320767730807, 163.13258117526868, 164.26358631760871, 165.57623044791762, 166.88662738517172, 167.37770414296907, 170.02811366835516, 170.38047614359792, 170.93858938378511, 171.07236781406024, 174.1397114911635, 174.24246267589106, 174.43979238095224, 175.78580525086764, 176.61743975468912, 178.03669239281459, 179.04334517256783, 179.21517368991263, 180.85766531549106, 181.0877297878443, 182.52459197709848, 183.04881917955609, 186.26064471252323, 187.75000969603798, 187.77911634510451, 188.09423535306837, 189.05883380361701, 190.49525769298936, 190.73076208184904, 191.05736496673978, 191.76470270941033, 193.22727624451639, 194.13108080067315, 195.38952980455281, 196.24682161760819, 197.1787437167651, 197.71284555641026, 197.92520090183373, 198.28217157439062, 198.39231672934125, 199.01736450571184, 200.12033213036469, 200.28898960378294, 201.18738754441034, 201.47448346593561, 202.36058651962486, 202.78356002956039, 202.86730546728339, 203.42938133190921, 204.17968249912084, 205.59326441400981, 206.34358255865783, 206.8541635134851, 208.29703625151049, 209.8885309252972, 210.03067076690317, 210.85354753469338, 211.21172154993928, 212.03950487554431, 212.06692088044159, 213.92571456816145, 214.05833665088892, 214.25802907622554, 214.57467239728979, 215.80673199620057, 217.57768145055158, 218.39266609790576, 218.48430694913398, 219.9447354419201, 220.43963214628411, 220.73841827433085, 223.88334338917832, 224.17744522869131, 224.53436422199769, 225.21750920043175, 225.95655009847991, 226.48461177431687, 226.80498595016553, 227.77238542901711, 228.04597990474065, 228.83183233819938, 229.88421216901617, 230.12742801052636, 230.45278064683413, 231.31575299717812, 231.50835854186758, 234.11276740753789, 237.56825945918584, 238.01912349680987, 239.75276487652033, 240.56137699320993, 241.81201112169589, 242.12643511420637, 242.174818963251, 242.63791393390625, 244.8657195365989, 248.36848783124361, 248.64204170225003, 250.7802887564219, 254.87704252866365, 254.95606243740846, 255.4222271059858, 256.36754430796185, 256.82881193484809, 260.04529789647904, 262.49913939401421, 262.9897482229801, 263.56763990706287, 268.53727846466472, 271.06778105885724, 271.13591755992485, 271.55417751897176, 271.60328724016301, 274.04521810578575, 274.11238808680838, 276.70023125233303, 276.97659103047317, 277.32254795481293, 278.0320594882287, 278.22286765558374, 278.526111291642, 278.88705202363121, 279.33914139658668, 280.15600703705962, 281.76968153035813, 282.51449581363221, 282.83132998714404, 283.47325771585463, 284.45064341215055, 287.06547700951126, 287.13128465261059, 288.14100333731, 289.05093155186063, 292.093963291411, 296.55956087347715, 296.82711841911549, 297.36175715918381, 298.02795199583215, 299.72363226244352, 299.79340327755659, 301.19623875987361, 302.34788379759004, 302.55859713018322, 303.69705221081421, 304.4735320059022, 306.00622662470249, 307.73006859668328, 308.05236085366721, 309.00780786516577, 309.69420888442892, 311.91469915573384, 313.08761877837463, 313.17725730634476, 316.47844444989659, 317.77684896610015, 318.14471261649214, 318.44941004624042, 319.16438135059178, 320.00367133774159, 320.40237869733943, 321.22181978381877, 326.17315261683427, 326.40967256000403, 330.36625857150869, 330.51763559381266, 331.92886544999817, 333.10835487452852, 335.7077403269293, 337.01163674010593, 337.45260050333638, 339.46500466097012, 339.55883968977537, 340.61462558894533, 340.73290099004868, 341.85831669758596, 345.00949667185142, 345.20225976777056, 346.019079307656, 346.47906815160832, 347.2747953427363, 348.00910456063281, 348.09764808241596, 348.62527723908767, 349.09263010391709, 349.50339587233515, 349.78293031200565, 350.00884515165581, 350.74602837311863, 351.54672416547504, 351.78041653596125, 352.25777761809354, 352.50939413782606, 353.0689298900773, 353.19000806516249, 355.37869030298731, 355.65447554479266, 356.81391725431547, 359.57997132657755, 361.82863247590763, 362.43351446617316, 365.18237330370152, 366.54091494743443, 366.72056197231711, 368.21944901132196, 368.59281512180712, 373.74315928920907, 374.97970496586726, 375.27097411967105, 375.70243234565595, 376.11428809140352, 378.66426826899834, 379.07943308495601, 380.45507109172377, 380.78054927988774, 381.13203369394398, 383.54912495915693, 385.0001237107345, 386.10770855696177, 388.77636674247918, 390.14293889266537, 390.42372126300029, 391.13340358917196, 394.64287346479284, 394.92032099126317, 395.97925992901327, 396.13713239522775, 396.66151162834757, 396.95107464925309, 397.06663547747456, 397.55603843964622, 398.06190551113906, 398.28888484922635, 399.70578805472684, 400.60547545503027, 400.91338672566593, 401.15420073874793, 403.57413315410599, 403.99579033019904, 404.20661438599791, 404.3483633367768, 404.45319071139551, 404.93478522030557, 406.12804412870537, 406.5792659128183, 407.9596893443827, 408.58502810457281, 408.76953918437886, 409.49417378070058, 410.68674358487539, 411.33587794675611, 414.13345044383664, 415.27730104577023, 415.86569465461127, 416.34858801763193, 417.66816459408057, 418.22063698406549, 418.30290274197307, 420.67789823676253, 420.89832261100383, 421.179007801946, 423.87829626514326, 424.34355568920421, 424.41617208077196, 425.02135948922376, 425.18063308153421, 427.83109487925179, 429.1384116688003, 429.94658474978633, 430.96265346620277, 433.00247685047935, 434.23508426600227, 435.49972738608079, 435.58197682126519, 436.91402535251291, 437.52204756331213, 439.07809697288974, 439.29261700389509, 440.0994052415611, 440.4771671716689, 441.6817274694576, 442.05197801556994, 442.88785758297291, 444.30024711131091, 445.40902636476727, 445.51830932278966, 445.74013565534659, 446.49683285130874, 447.13752464778474, 448.4582350401393, 449.02791774587757, 449.55234763614021, 449.84556947644887, 450.35105200888381, 450.99342477059571, 451.51646208061356, 451.5718969935931, 451.80828243963811, 452.46351957921803, 452.8859759531594, 453.34737181370269, 454.5050634852318, 455.29865803941368, 456.17432646493984, 457.36672307115117, 457.87106080893017, 460.8941257393177, 461.70789717981802, 462.37557244169579, 462.68571150244696, 466.25995718415231, 468.46634155012015, 469.35794121919378, 471.09232587644527, 472.73694192766618, 473.24218502818462, 473.96291563059253, 474.73904207189821, 474.84820623478635, 475.30208898865476, 476.54495999820182, 477.84192217816502, 478.03927766399414, 480.06416989091491, 480.82375583756902, 480.93478101104461, 482.25799378489114, 484.47978340161376, 484.79236036357258, 486.13379522505011, 486.99830386814824, 487.04747175399325, 488.74153847117361, 489.22525672122447, 489.66932926752764, 489.69307019385337, 490.23755605895553, 491.97190107700919, 492.30984586341975, 492.89677792175235, 495.21459596706893, 495.30167310581066, 495.68955239833332, 495.78398232088006, 496.85586096285988, 500.87439588638682, 501.86515618734018, 503.40415196822602, 506.75580134704609, 508.71931566366067, 508.81551446222778, 509.49208732928111, 509.96472739614353, 510.52926130689923, 510.97477510077118, 511.95284547240169, 515.40508639339828, 515.99205075838552, 516.93079163451341, 517.46537880002847, 518.3512473294146, 518.50935109875593, 518.54436275503656, 518.57996408285555, 519.75020655396213, 521.6138673055475, 521.76730918511134, 522.71178611802554, 523.36165044053894, 523.51785660351504, 526.74193853459133, 527.70385169127564, 528.80764984493055, 529.85674970948889, 530.1977393380032, 530.37975227408765, 530.53640287051735, 531.6325640505097, 532.31621722370767, 532.85737792490318, 535.00909651087352, 535.82128354621602, 536.69897715565151, 537.30422384195026, 538.18472318707654, 539.01118633376132, 540.57426629881002, 540.62102979047165, 540.99949236920202, 543.26802930502879, 543.56808882689711, 544.09270015618779, 546.33304017429214, 546.84821462670959, 548.29683320461231, 548.91969822705335, 550.17848124769762, 550.86005365316214, 553.44564753409202, 553.60774373756055, 553.67404287686634, 553.96755831209316, 554.61520684119387, 555.78595264856381, 557.60865320278458, 558.51274155396857, 559.40129901636033, 561.52023367844208, 561.90022846695433, 562.30434199217393, 562.88963015506818, 566.37949218886297, 566.63516958753416, 567.70995706124199, 567.87859804646143, 567.90516751728796, 567.99668399605559, 568.54476023666291, 570.25374754391305, 571.04646015432229, 571.5560711412619, 571.64997688547714, 574.93223351605536, 576.63459924573306, 578.40868567005634, 579.56821340387887, 579.79615594248833, 580.39686745463416, 582.2472817396831, 583.59523759805018, 585.57081711940532, 585.65438936863313, 586.13418534516143, 587.87732543943434, 588.63697590309528, 589.26536854344431, 589.4379266047647, 590.13578358839277, 590.48550362254855, 592.25372316943617, 592.34880064746994, 594.67543669983672, 595.05846885502103, 596.79019486014681, 597.39372062494442, 597.66481511607515, 597.68818104731167, 599.4124625072202, 600.36675186267087, 602.32885776522164, 602.90382030585511, 603.48538650887156, 604.23782261545512, 605.01740188749636, 605.15460842579898, 606.22236394900142, 606.49520776808197, 607.63769558260378, 610.01234191692492, 610.98208524784195, 611.26459882883387, 612.45837356923869, 612.84201967896888, 615.98015708312573, 616.51996300470796, 619.76207093202254, 621.5827189506864, 621.86047912652691, 623.66727453024168, 625.53242551514052, 626.32168258210845, 627.36002434210627, 629.8193446630321, 630.68846561871317, 630.95721097770581, 632.267454969205, 632.54007806705863, 632.69981366022353, 633.4161361115672, 633.53654589753046, 634.7309554682829, 638.09989183746563, 638.15788961936437, 639.03864060223896, 639.0711034941902, 642.06832749741386, 642.61612024942644, 642.78568920694681, 643.00318485580362, 644.68462033217213, 647.26751128841647, 649.29627083121295, 649.69514345893708, 650.35522342054401, 650.86671800615454, 653.50512304776998, 653.53791826150837, 654.09794766189646, 654.99312098164262, 655.681996677146, 657.35930660168503, 658.57856336696238, 659.83835956994426, 660.50911193283264, 662.13492079144862, 663.71744319130573, 664.61547993212457, 664.86742751805662, 665.25886158526373, 665.77779438612697, 666.35953059685767, 669.5131987883567, 670.96119959082466, 671.01429543532106, 672.81898496663064, 672.94200787864679, 673.40431238714541, 673.74568928884287, 674.88202898665691, 675.13255478502299, 675.56747541070149, 676.04431583192502, 677.98557280952934, 678.79729687970132, 678.82471880396702, 679.3335098286617, 682.21559205230528, 682.86159444390853, 683.31053165036474, 683.50508054331078, 685.45535770395543, 685.84223887413157, 686.16758680570126, 686.94576355191941, 687.29525948538605, 687.57550004223719, 688.44803022217206, 688.89453704396738, 690.19109925061855, 690.28572242969165, 693.91215595946835, 696.55132603930861, 696.66461294340274, 697.55460554765443, 699.32137369019097, 699.58746594118543, 700.15175037658537, 700.56235373031257, 701.89685266898368, 702.51066985185832, 703.85751755110016, 704.93980269216502, 705.29122163854026, 705.37987502527449, 707.83300799137453, 708.76262265892399, 709.64715601877276, 709.84847800073135, 709.91339049228759, 710.49603494847861, 711.79701920548655, 712.62878312362398, 714.03378554937922, 715.51985733268589, 715.77890506031019, 715.8716839174183, 718.34657109359398, 718.37743228351269, 720.49847611263954, 720.6176672184472, 721.50609860246846, 722.89460256039183, 727.05279138173, 727.93199699339948, 729.20127491762378, 729.39737729335366, 729.53725901328926, 729.77314237461349, 729.91999937663206, 729.97569858745112, 731.2621227076371, 731.29497822579481, 731.6561132802467, 731.73515494841126, 731.89583325970762, 733.72189790905009, 733.93928287024266, 735.17966006582299, 735.25479823579099, 735.81040442130291, 735.96062868122476, 736.74987071002488, 737.42524340971693, 737.81720244137034, 739.28768233018377, 740.80085508224386, 743.16614435764677, 743.34471853231037, 744.32791556988695, 744.63614252479283, 744.982269388703, 745.39910167859284, 746.64091015821168, 747.29994066925178, 749.97899730618917, 750.34951117852177, 750.54139380037395, 750.88312922815476, 751.81141834230004, 751.9138344500285, 752.00771011927213, 752.23051085172096, 752.75307010580968, 753.66814419863817, 754.31732181493282, 755.31977670962181, 755.9511075512587, 756.23422903554672, 756.2826822474583, 756.89472011537055, 757.53792029095746, 757.82111222606784, 758.01242113209651, 759.33450258934056, 760.88731381597427, 761.01648708057064, 761.70260320727368, 763.31614308887765, 764.92293918840255, 765.73334756707482, 766.16139373655096, 766.18201599309702, 768.07249153391979, 768.46177851478171, 770.67564331282858, 771.56135783332411, 772.72757783287216, 773.53693022263133, 773.93663133255745, 774.03964559576946, 774.53816942763592, 779.06349322216329, 779.75296287018239, 780.20611353439256, 780.68560818217304, 781.06402030769061, 784.64799551888666, 785.63310735375262, 786.05191455042802, 786.20304569828386, 786.347592201, 787.7788406042165, 789.11628748182216, 789.78281071562947, 790.36723142593405, 790.73083873916892, 791.28247995428956, 791.52137972082573, 791.82359670447045, 794.40798074223051, 796.0047476228101, 796.97182039025438, 797.31652631506131, 798.74312636486889, 799.2531540797911, 800.11154680233153, 800.9566497138768, 800.98856153956137, 803.04542295328747, 803.457076836998, 805.18101148886547, 805.67312941194496, 807.12742781944064, 807.94440038103426, 813.43374308349303, 814.10908517160919, 815.03411616626772, 815.96302939677662, 816.03523071172242, 817.62236515750169, 818.95794997076337, 821.05033318263429, 822.61223998962475, 825.05935631728482, 825.46312011529255, 827.72705834197347, 828.06488207439702, 829.99140102088882, 830.5700967826474, 830.60590549648282, 831.41310877019964, 831.7392423296543, 834.28503954944824, 837.22967786732386, 838.44861041920592, 838.79553718589148, 839.15414093236257, 840.06308109411589, 840.68934801009755, 841.16736585610306, 841.21039582840251, 841.97878521254484, 842.13876787915387, 845.53144744370786, 846.32262284643048, 847.98488478951856, 849.63490302718594, 851.67880887298008, 851.95427664697775, 853.52863007119583, 856.20843735282165, 858.81172870621765, 859.98720027892398, 860.01476997775956, 861.43938172354422, 861.46652759898427, 861.76791802547893, 862.12389663995066, 862.40433444598023, 863.13920427099106, 863.45872171118765, 864.60719636523447, 864.99959980410677, 865.0733779587714, 867.10681959485737, 867.94800889498322, 868.94945459228143, 870.32283598044717, 870.47285175926629, 871.05322443212515, 873.54166713453844, 874.6557279481907, 877.26233889751563, 877.3574097687017, 878.75284968614312, 879.83902817183173, 880.44561956998734, 880.92760482602421, 881.45243239540696, 881.65390799206659, 882.93964416307904, 883.23034144510814, 885.04378301562838, 885.59664032641479, 886.50330659087501, 886.78868425052644, 886.98937291731386, 888.46416049877337, 888.56528631653487, 890.22803286692476, 892.06330427640626, 892.8996351379792, 893.48593558159246, 896.29588097855947, 896.3196762490627, 896.44890569226948, 896.48934049532522, 898.19290620258209, 899.12117255761598, 899.89349265042222, 901.18533289677998, 901.92249071334606, 902.87813971113496, 903.24714933054122, 903.44032359594712, 903.68829824957322, 904.28042595819056, 905.0334413210212, 905.12421248056444, 905.48069140237601, 906.68933392624626, 906.79238894078082, 907.83787878908345, 910.64301321827418, 912.05854955174482, 914.12590215311752, 915.20905378592124, 915.91664675035156, 916.0017611091082, 918.06443573750607, 918.11383552621305, 918.6279927828532, 919.20111478745173, 920.22417888884968, 926.86391756999399, 927.02862153032663, 927.78907885673323, 929.47813109627236, 931.11290208537741, 932.76844710653813, 933.02566853310066, 933.28096569921343, 935.57971108704771, 936.9974184030242, 937.22492673403815, 939.42382144726287, 939.91000047498721, 941.1519588870633, 941.45559712167801, 941.53785805116161, 941.59320249559255, 941.99100579683306, 942.39103165542542, 942.53291186401179, 942.60252771880664, 942.73537706189325, 943.7600017440086, 943.90168907250529, 944.8681874685783, 945.68716978473412, 946.60475888169913, 946.866537664421, 947.68894257575766, 949.05403960847889, 950.74933713707765, 951.31908577033926, 952.52298866127558, 952.67295589341097, 953.43584415545934, 953.81325878776136, 955.79186285038725, 957.86210355237824, 957.99637990829103, 959.03730535780392, 960.3057157887597, 960.88439625145895, 962.43268822539414, 962.56085271367385, 962.78715248155868, 963.1283897965028, 966.05893417443201, 966.74325529284852, 967.26348930185031, 970.93964867101988, 976.09087483572159, 976.90118317863801, 976.98191941768596, 980.23695453648918, 981.37584596128579, 981.55562760060434, 984.74922168191063, 985.41196935629955, 985.95348178209872, 986.88851375744582, 988.76014581683955, 988.94421148132642, 992.43292459168561, 993.08108661322694, 993.28677058957305, 993.76726129656311, 995.73362941744813, 996.67090426866673, 998.04604556266793, 998.17508207223534, 998.50892223318601, 1000.52234715819]),array([15.908699714325259, 16.559399959279283, 16.807708245607436, 17.69629414537841, 19.124188545353011, 20.695859196702617, 21.587409095924507, 21.75390036251795, 24.004300813187129, 24.414919617592794, 24.456708124388562, 24.832874711166465, 25.584595541378977, 27.71551773662722, 31.29552222751861, 32.827520100685391, 33.897686437693743, 34.187638631897507, 34.481093968531532, 36.016117798849073, 38.059860594905437, 38.911856876044588, 39.445649486741097, 40.901888157257581, 41.038982576236286, 42.76733701455079, 45.920387292317677, 48.20464826942731, 48.577948329319938, 49.333605710905147, 49.939275066695799, 50.342069755963763, 50.849358145002114, 50.895899706984032, 52.298869522598551, 52.363411431130167, 52.444709450989833, 54.452818501421213, 54.578540738794153, 57.109998921999967, 58.232688321458475, 59.895252600895176, 60.786058825340888, 60.866656009536378, 61.895510706623284, 61.933888447922911, 63.49400078726736, 72.70768883901107, 72.993066004211045, 75.978222556481697, 76.539273137997839, 77.997719123545906, 78.51978501734439, 79.185612405509062, 79.299086366782177, 82.349563667202403, 82.530215769365526, 83.868811475507755, 85.786023275905691, 85.913936703133217, 86.618546742210683, 89.341204375776456, 89.669377485433145, 90.369457768610886, 90.422870541836616, 91.39824154642379, 92.186105165550941, 94.463906588283038, 97.675561242605795, 98.108852971390448, 98.236380478505922, 98.975824151474299, 100.12143967831722, 101.86413558407553, 103.65075152978066, 104.58602075737504, 105.77989332913263, 105.83238927349812, 106.88491389039359, 107.04011529876556, 108.83599973712614, 109.50093209539089, 109.95566453741759, 110.25627366600717, 110.44947110630702, 111.34326418584055, 112.6325101476445, 112.77111399073036, 114.90006373454371, 115.72872769548066, 119.35747295157083, 119.57180841206311, 120.09687746980545, 120.70801184450353, 121.59925417900364, 121.79387202824537, 123.2016058222612, 123.27509367839482, 123.81574319002175, 124.57113381921175, 125.44398314044068, 127.24680617569361, 127.98535840878874, 128.23378263055343, 128.29376752260799, 130.5958977557157, 132.23734116067212, 133.86718850594528, 134.46329156632314, 134.62362210298795, 134.95818300086773, 138.16770678442674, 138.78926025786771, 139.33431884471239, 139.89274261852532, 140.6325340142036, 140.82550919034128, 142.05722103935477, 142.22323706433622, 142.73176314669911, 142.83413849424321, 143.21302490597643, 144.31477255666556, 145.00979358359237, 146.89178178499429, 147.02214979945811, 147.38950952647733, 148.4378742510886, 148.89260248058912, 149.4205558725248, 150.15024203291671, 151.03585688485759, 156.08944813069621, 156.11587185873162, 156.35402769771756, 159.58683225904804, 160.01657219258908, 160.14051487012719, 160.85908551810624, 164.09514608300145, 164.25152208842246, 166.13982351198652, 168.4803517478143, 168.99522396889628, 170.17342174643963, 170.30419065873775, 172.70153386906151, 173.62807413227199, 174.76572880820191, 175.29666882880662, 175.76448996340878, 175.96657233743022, 176.48219548707073, 176.69021827850088, 180.75190833679534, 182.29464767465942, 183.19622250082975, 184.18487803714507, 185.67310093420019, 185.92137687787516, 188.57873778892863, 189.16400984286685, 189.68514942448934, 190.17973882384427, 191.50861283292926, 191.53349344513285, 193.54611454497052, 194.65308907946508, 196.54004331709876, 197.46067026044707, 198.98467903801543, 201.02393536501881, 201.26860878797723, 201.57292119431708, 202.08695866566137, 202.27457318552291, 202.49111956457406, 202.77056969420073, 203.93117496093325, 205.26032590938635, 205.47475214696632, 205.52380920884869, 206.79831303063045, 207.83981766247251, 210.15011874843796, 211.3408590870132, 212.32777780826092, 212.53331856256102, 213.70345377737817, 216.08001896746677, 216.89612319859754, 217.01551465915176, 217.44441243191028, 220.20769876143152, 222.0760955389099, 222.19493374804054, 223.04010320574272, 223.52432314388648, 223.83421473037839, 225.55485325030085, 225.92629124298921, 226.60228020176149, 226.72383494650924, 226.80472758494861, 230.3048117404567, 230.43516117608445, 230.98384940989675, 231.01393300667331, 231.30950124377023, 231.51524892337608, 231.54244582979683, 231.65930187474922, 237.00707619568442, 239.12261968633038, 239.74067437765893, 239.9695238019456, 240.05843894417359, 241.12131950206464, 243.25026896004178, 243.98438401942403, 244.57197074833238, 245.19132957680031, 245.58424529502466, 245.74400340605885, 246.14717057191683, 248.17569475696385, 248.59775510779798, 250.0810646647011, 250.96706944793939, 252.24312177707498, 255.03189921998836, 256.81176652678397, 258.26608786148131, 258.37426401653192, 259.92039349704862, 260.26333621052214, 260.98984314582589, 263.31094486299043, 263.87860632604145, 264.13430476337317, 264.74623574236182, 265.27425491389374, 266.36956935753449, 266.49728233891892, 266.55161623430433, 267.6297159751594, 268.41347791860085, 269.40022478679788, 269.86525748222692, 270.1631354768864, 271.83452516057287, 271.89318352437317, 272.78830021508242, 273.68022854348118, 273.90446323005131, 274.67286000965049, 275.21429758906845, 275.91577515169388, 275.98589684057782, 276.52145154956821, 278.94186003871846, 279.30914565010011, 281.48894026764987, 282.28178502062809, 283.57783140292293, 284.27653980788284, 289.40133302509258, 289.73962780225719, 290.16992285119085, 290.75010300787073, 292.03380980996093, 292.06650025506792, 294.48527124760045, 299.19188228906154, 300.80725305692505, 301.20737265340313, 301.4275701662682, 303.23742993058369, 303.35276002614279, 303.81071380708079, 305.4594476847642, 307.8075913126608, 308.2006037550824, 308.41819270904386, 308.53817342196425, 309.28053032550986, 309.67635857302889, 310.3901890445195, 312.75763540009604, 313.32076135961745, 313.65825043496125, 314.44687315762866, 318.33674890462686, 319.05250421204437, 320.44621808519571, 321.14985873067235, 321.2494510207469, 324.71240143629927, 325.48718589278678, 327.23959912716111, 328.03495969914229, 330.65577314030952, 330.83621322881351, 331.31700417020954, 333.54215744833203, 334.01729830542001, 334.85443350561133, 335.6211718959708, 335.97717139292052, 336.68126088419734, 337.01746920028484, 337.09508564717981, 339.21933554519904, 339.30877278728207, 339.47725270232223, 345.18032052263783, 345.37545337959011, 345.3974897481956, 346.17346665438845, 346.6756109288728, 348.81203057682035, 349.25688973446461, 349.71320108871555, 350.64465093471114, 351.93925946836805, 354.89676767799585, 355.64981360252909, 357.53973050807497, 358.05179785495227, 358.16025664598379, 358.62151118319326, 358.73872279264236, 364.70005122801734, 365.28812808956485, 365.8520218605322, 366.75855956851694, 369.10552737366118, 369.68360585223678, 370.58109713936602, 371.02801181260674, 371.6320562360936, 372.32559876916071, 372.44677383826019, 373.54948365955903, 376.27696075525853, 377.32052054693406, 378.21907570776864, 378.52807402261345, 378.93345312455278, 379.06351399329719, 381.2235573346689, 383.3962708762777, 383.64854823040309, 385.24502204893093, 385.70839545490105, 385.91062475056231, 388.67526642487815, 388.77195117470899, 391.46531934476712, 391.66317686947582, 392.15108490911126, 394.40102310316769, 394.94734460212015, 394.98353559804207, 396.8413835758605, 397.33415954911402, 399.36697044844948, 400.76395355680052, 401.88613260880993, 402.53466580875988, 403.11128070179592, 403.3553761903936, 405.46425356635177, 406.38974631474377, 408.39489893626984, 408.66473437898929, 409.34190822840765, 410.20157570306452, 410.29213410882392, 411.32056778643391, 412.27487015281514, 412.54210851281522, 412.67592506104739, 413.15257662656023, 414.08310422058497, 415.16852868378811, 416.87486549273063, 417.74281180010382, 417.95469329466738, 418.09468847053319, 420.23923002398095, 421.65890910467527, 423.16845038060194, 423.35129771892002, 424.71436564696046, 428.25002517657106, 429.3012206505129, 430.57405306086014, 431.1719823366185, 431.32987203045258, 431.52963013824296, 433.15852070114943, 434.17786533531688, 435.67557685231787, 435.73837525457765, 437.10660773746065, 437.36392863007723, 437.39251235741608, 440.31416396946918, 443.05872505235163, 444.80925427035174, 445.26669438349836, 446.00153701021139, 449.22116641221339, 450.08018040146681, 450.98982646503822, 451.41101265025782, 451.85152575928646, 453.1483476795018, 453.28942714521725, 453.99573640331937, 455.74251538846943, 456.07557253457048, 456.10049641740579, 457.23915723338911, 457.47718139016047, 457.78177402388133, 458.25340338944034, 459.67275175308413, 460.17974446560402, 462.45044842657546, 463.34657608279167, 463.64682675431101, 464.67740844318809, 467.47077458558596, 467.96744869749551, 468.30343432268904, 469.80377774294925, 472.27282838827216, 472.95020375476781, 473.01106495974147, 473.77381552513674, 474.17507421670274, 475.72399684135371, 476.04725718907252, 477.08408358892086, 478.04491883552265, 478.64281019276228, 479.07867534737017, 480.49751264113979, 481.05159281075561, 482.59610279469689, 483.72673072422924, 484.85898073120768, 486.68769424576561, 487.61533429435241, 488.15954450191634, 488.86831563323773, 489.22736193901426, 489.66478947247236, 490.92413641061211, 491.048384507511, 491.44635711345194, 493.31274976293923, 494.058662365072, 495.83428297778352, 497.51973794774545, 499.29280580697775, 500.74932250269183, 501.1303059666896, 501.57373745660124, 502.02324357650679, 502.33250599170054, 502.89153966985373, 507.38801107637721, 509.20620255054615, 510.77597062449462, 511.16789893952307, 511.82186554458752, 513.74126484101782, 514.10634351718227, 514.33965767578479, 515.03902440932927, 517.4173045851187, 518.13496986260714, 518.76256575820992, 519.45904551924036, 520.15651714319642, 520.3234026312598, 520.53256854001268, 522.06028727760679, 522.28741147327707, 522.82286379704817, 523.45012207808008, 525.86369844281421, 527.29075247674643, 527.37016309905823, 527.394744893949, 527.49575958698506, 527.86579379454736, 530.5221743806253, 531.32839146884737, 532.91592533437688, 534.08582529834734, 534.32180052270098, 536.99082854586254, 537.4451957369763, 538.34143729972959, 539.06685344164657, 539.44064589922721, 539.53291806170967, 539.62757837994411, 539.76355580298411, 541.49588995786405, 541.87473963919558, 543.38611615072864, 543.64975605127563, 544.77451599114147, 546.22714103567773, 549.05299736059817, 549.18563217939288, 549.2570837567954, 549.63288726349913, 549.86628358647181, 550.63822806116355, 551.53872393496272, 551.84791525522223, 552.70750587912323, 553.26807457683321, 553.80423781687705, 554.83712943312685, 556.7512126594055, 557.3708284715018, 558.58407473871296, 559.25025312765217, 559.36347348323807, 560.00302294787866, 560.94200216658351, 564.31503981048957, 565.05096849194956, 565.20640710391649, 565.2985124191722, 565.44483309254565, 568.29220565212586, 568.66032595846502, 569.08854326339019, 570.49041527744657, 572.93296119957733, 572.96602302690519, 577.51226510855281, 578.62356827133749, 579.00989568881209, 581.1893987114297, 583.25996131973614, 586.83352381168288, 588.09768132634292, 588.93284974944993, 589.39311320279796, 589.58261952089003, 590.34075931002701, 591.97951428072327, 592.92315896881223, 594.72873558670551, 595.63082985516348, 596.10912611468063, 596.31300847030661, 596.73556574156839, 596.8559179536112, 597.04261738140929, 598.71920055363125, 600.24121748744142, 600.42865879525777, 600.74501237417883, 600.82933831658193, 601.27378955416407, 603.49266404124046, 604.44126722679971, 605.05872298838835, 608.06059885098625, 610.61225260177002, 611.45667982660939, 611.69859398829806, 611.91258016848667, 613.06165605136891, 613.13029107641876, 613.58270812865692, 614.17535629033682, 614.26069861126189, 614.83292996631542, 616.00602028150081, 616.41410730638597, 616.68575283279836, 616.75034799454397, 617.08722265286258, 619.07820002003677, 619.25202899077101, 619.55632523641862, 620.01703259063038, 623.36380337851381, 624.39666281452764, 624.49294475622582, 627.69691073825095, 628.92007885261467, 630.06222974182947, 630.14749749718135, 631.18146540449266, 631.43347116113955, 631.60700601339647, 632.73637013658902, 633.66356352089122, 634.158818257652, 636.61049100120033, 636.68531437868967, 638.05044867546985, 638.34889220056687, 639.34791548244539, 640.13255533196661, 640.90431061014567, 643.63820022703783, 644.80535303802651, 648.33330878377797, 648.37970922704358, 648.48878175614982, 650.08059683301542, 650.67819897392201, 651.06666487201733, 651.3464278654385, 651.73835158938164, 651.83967882546642, 652.70904707290902, 653.60651859030077, 653.68779681329602, 654.26609589975624, 654.64957533778636, 655.59472849002464, 657.67591691160374, 657.80359058530553, 658.48675772489719, 659.15446112737118, 659.31563291810835, 659.71998064869842, 661.92536575591123, 662.57110955483677, 664.63523751752496, 664.79042753936233, 665.23400651186046, 665.72149792284495, 666.19462591917147, 666.2873112824127, 666.40371151525312, 666.85457513535926, 667.55125422938931, 667.89831317137805, 668.5316390261994, 669.52787040183784, 670.17475458930937, 670.61767393178116, 671.36530677942039, 671.9557794373394, 672.20123309930921, 672.33852101419177, 672.65801964493107, 674.44172548144002, 676.27103052935558, 676.4429355984139, 676.52935118107314, 677.26795598034062, 678.43003991488433, 681.27758794532065, 681.55151093263294, 682.86293522160634, 683.36809369058619, 683.55715975952614, 687.31626740263812, 687.64512636278857, 691.67325884645368, 692.08909990936218, 692.82032687781361, 693.00956966623096, 693.80274340514484, 695.86890113366587, 695.91114046066605, 697.32309211518407, 699.23252028964475, 699.8375376962548, 701.77924370534924, 702.40617849635294, 705.57064886133242, 708.01688801996602, 708.99127465834772, 709.16330738972113, 709.55227486557123, 709.61469667908034, 710.83129493898912, 711.44006509797077, 714.41778584049018, 717.68021313856127, 718.22953114772145, 720.67457850786286, 724.19350314491896, 727.83223894133823, 728.06565138576286, 728.27741144737274, 729.53263141730861, 730.38398643035691, 730.47919566589349, 733.04851347964643, 735.85515899213544, 737.86094299173055, 740.71985247087252, 740.83016813503252, 741.35411331157741, 742.0308953846278, 743.17105204355551, 743.5741546038156, 743.86733460326991, 745.14498291175732, 746.63287011541058, 747.37623975139354, 747.65548670626492, 747.83322956541303, 749.38235536702518, 751.67970826955889, 751.71593626130641, 752.23753899259805, 754.19027215860024, 755.98589605911855, 756.04988966433223, 756.43499127920734, 758.09179852637533, 758.43050144583208, 758.66187187525372, 764.72883961544881, 764.75476830026889, 765.23041131537843, 766.16309277034009, 766.72261134812072, 767.29385569443821, 767.879959569687, 768.80663595442365, 769.20784729952413, 770.94085994609145, 771.276897599618, 771.88416329662914, 772.53065012464162, 773.49971058981305, 773.64550515357689, 774.52630785502299, 776.02372345992251, 779.92393696491081, 781.67030445658315, 782.5262780972306, 782.70962970518633, 782.75731428129086, 783.77013813316785, 784.11636136278014, 784.52768763232996, 784.61653398052567, 784.84433863668426, 785.02174853951703, 785.82225552245097, 786.49837556210173, 786.53708157094673, 787.4233641700622, 789.07488434967888, 789.25691478482986, 789.41284672510756, 789.46402348759409, 790.1310724962641, 791.7867003947805, 791.87067938364839, 793.12280604686521, 793.76429580718286, 795.2917958448088, 795.47778486931634, 796.0304706980271, 796.63406375573743, 796.79754665526332, 797.94584405454373, 797.96737292026035, 799.30445547485442, 800.4230062895524, 801.15809922644905, 801.88499952077359, 802.15815238635116, 803.44331242885676, 803.85324314645106, 804.13811312860173, 804.61535576055621, 807.49924442463328, 808.28998206447523, 808.63922301579146, 809.87470242104257, 810.31838363517932, 810.84909629990682, 811.53554226065216, 811.60472238268437, 812.81779749880013, 814.26716814009751, 815.48096130383783, 815.73585032865037, 816.4723431344554, 816.61177562227169, 816.65850526286795, 816.69113488051005, 817.81664147487891, 819.44852827356499, 819.94112154033451, 820.17879451747626, 820.66463951151923, 821.06908091739865, 821.398928104687, 822.40899335467168, 822.57904104920647, 823.30679296594235, 824.66770335670219, 824.74252426096803, 825.36863043889548, 825.54570402088973, 825.86728993771123, 826.80968453845776, 827.25103517641446, 827.46983253217979, 827.50712649436355, 828.11067119684594, 828.54424005133797, 830.22140111537885, 831.97593984085574, 836.0157641440527, 837.0236578400926, 837.08570848739089, 838.05035495349637, 838.75282734579446, 839.62613719581907, 839.99693949849427, 840.35305720351414, 840.42011964876838, 841.39629640718317, 842.25596730245593, 842.55737893011417, 844.44722829951331, 844.73844579652734, 845.84954906352914, 849.81989175952162, 850.1191819959173, 850.62305842486478, 851.65540027695818, 856.15635362810815, 856.81074247540198, 857.49266663082108, 858.49366708859213, 859.36569518976341, 859.71378928518664, 860.01603323140205, 861.52781610015427, 865.74492935802436, 866.16088407041673, 866.57485964994135, 866.81245070433113, 868.17385667391591, 868.24421786095138, 868.59161204527129, 869.68841803710484, 870.65114159324742, 870.85962363687452, 870.88407857185211, 873.89963955374037, 875.16689665814181, 875.45453382970936, 875.79565090883023, 877.04322526630585, 877.33565919127227, 879.49728041406036, 882.61709544965299, 883.23168004357422, 884.06491502995505, 887.14573051085426, 889.63262917129805, 891.43840423559766, 891.48484835884085, 892.08767116657361, 892.43438183650505, 893.95916765053767, 896.14101796391242, 897.05187489123864, 898.80369251384491, 899.25130209997133, 899.73756587728428, 902.60135562021401, 902.68248914451362, 903.28587757668527, 903.49842451482027, 904.98757957341491, 906.62097263399573, 906.99225062476035, 909.42228389405534, 909.86710738297279, 910.03764113516172, 910.27917898410283, 911.23896264670282, 913.14328325135148, 913.48882996004079, 914.86649227323119, 915.62589414461797, 915.87640250170136, 918.46097048473848, 919.16168245687516, 920.1929423571338, 921.52734751026378, 927.24954405925439, 927.49324369747558, 928.17071059176726, 931.90422527188036, 933.42727478940412, 935.61985355368438, 936.76078870557751, 937.29034495383189, 937.34220168018953, 940.0852324052189, 940.42672707475856, 940.61855930614854, 941.02874794980789, 942.47591625327448, 943.80204886732884, 944.85005837521157, 945.74984521145529, 946.27353898465935, 949.50359359636002, 949.77417198746934, 950.30816810931299, 950.56754709128541, 953.31075666758466, 953.53527530650786, 953.81415617630319, 953.97668095474944, 954.78523436622311, 956.58526044511484, 957.44128693806147, 957.6313364051955, 959.99301164436542, 961.57139969340392, 961.93686377284746, 963.78350056950251, 964.40102223315557, 964.7517024127867, 965.02265813868894, 966.69371638021289, 971.05353508526343, 971.72584854945865, 972.55284687682047, 975.32741194458879, 975.35574921421733, 975.9858356376352, 977.41925281110105, 978.9349969685893, 980.60484486800738, 981.40944503712262, 981.64567355017016, 981.7580295916116, 983.07154725411897, 983.31029934768696, 983.66594216694955, 985.89302292588013, 986.09512851075544, 986.26706692965718, 986.52404131799256, 987.33013615488176, 989.03421181506235, 989.18329216629138, 991.47078503531645, 992.61937469597308, 994.68399744593944, 995.28724855576957, 996.06838886173102, 997.97083984851486, 998.04911849786129, 998.18386468276344, 998.49497027037671, 1000.9202600024743]),array([2.856238487418461, 3.1706372797992843, 3.3077594344366155, 3.6850961781231546, 8.3545641293831867, 8.8960775985481781, 9.6120746886223323, 10.71279788976654, 11.799817079228482, 12.337912668237211, 12.555395381303342, 16.564667316941499, 16.679370010984869, 17.233675705244913, 17.395025526055075, 18.252974970694368, 19.583860242775458, 19.687170397617344, 19.832649983053741, 20.012188188224354, 28.474402885938616, 29.829693059007326, 32.385014580149544, 33.060266187556437, 34.045834615815913, 34.453573832338321, 34.907971757287591, 35.496999414929334, 35.602848826066079, 36.128854419919264, 36.895187390663693, 41.244202200149552, 42.83673690666479, 44.293462347526322, 44.561421854766522, 44.707988887755938, 45.74153919731706, 45.859731927863201, 46.5282807053689, 47.857120999019699, 49.249446503180678, 50.884083669620523, 52.050209899262974, 52.802715419534003, 53.674472000899755, 54.114262085302784, 54.609340375234133, 55.274261817981973, 56.234806976080129, 57.675204096980757, 58.68890688146783, 59.285309679809259, 59.833587819270207, 60.866637350089455, 62.122690813348612, 63.244378053278432, 64.129901865635446, 64.892517648474069, 65.040253830686325, 67.755003578490616, 69.324059823583809, 70.370087930008637, 70.506942099641407, 71.319194590001075, 72.301795381717383, 72.523343784857317, 74.784901463429861, 75.449073738823586, 75.902496057317649, 76.386504413464237, 76.513157081866609, 77.13117376581576, 77.464186954619464, 77.904603035138052, 77.934682446043283, 80.912075612035196, 82.107655677053501, 82.423813487714142, 82.456993981797538, 85.879221283441055, 86.198125994846109, 87.453045723642774, 88.825095741359306, 88.907085113663442, 90.025438561343918, 90.32257962655622, 91.218297659212865, 91.826155460677327, 91.983733676199847, 92.694332447182163, 93.019865320240157, 93.125947192470917, 93.738476568746577, 93.999242051729212, 95.282576785231171, 96.522421601685664, 96.578432783127823, 98.096765242692527, 100.47122910281963, 100.51459424580652, 104.84952626617169, 105.45218945536438, 108.05335838652704, 108.6129360820491, 109.99704718672824, 112.64872524414568, 115.3347622331045, 117.60572592945907, 118.05165744014779, 118.27013233802045, 118.80959099674962, 119.39050290419564, 119.55196111138187, 121.35696130080336, 121.81067887075785, 122.39581609933089, 123.64246337943587, 125.40090414818512, 128.92238697856874, 129.28592941067086, 130.81186741049768, 131.90815102126678, 133.12508280082463, 133.26868686018864, 133.36696997119282, 134.68276898137387, 136.86377202519762, 137.77666676939859, 140.19051320914181, 141.78999372750101, 141.87933935468965, 141.99858048681946, 142.03840476969575, 142.31633116854721, 142.62701877973331, 144.17732827596953, 144.66661122657035, 145.55625743003174, 145.93814121474236, 146.33885347618613, 146.53559020731112, 147.2838550523723, 147.6290116172228, 148.27553676287332, 149.80581861084411, 150.55708954872841, 152.03570135861733, 152.36883053123199, 152.55241145573132, 154.11577634829291, 154.41786606044636, 155.14142588863055, 155.29884997201043, 156.08406225406875, 158.10622076215105, 160.16735016568578, 160.26239816463746, 161.68737177449637, 161.81198983820124, 162.46283491672261, 162.52694365260987, 163.11069303022092, 163.19760450958191, 166.92125996607464, 167.73176812178525, 169.20905208469063, 169.8914990353482, 171.34990850738092, 171.58943310486092, 173.14080978392386, 173.20341435877575, 175.28130683766435, 176.27293615365028, 176.53711714767545, 176.7269956647435, 176.77451714457072, 177.95606241933311, 179.34833017943717, 179.97757060529167, 181.18845168872053, 182.42548110638867, 190.85903244316108, 191.05843382514823, 192.64593160899935, 192.73087597254855, 192.79085212081355, 194.36190428134938, 194.83507911487982, 196.83757319455916, 197.03629327204655, 197.08827086974344, 197.44011082062715, 198.16159738215921, 198.28221579827556, 199.0981808356087, 199.48275245701706, 200.90816810600222, 201.47120634956599, 201.68335765499305, 203.28431443940946, 203.61553818320556, 204.21610180709496, 204.48958179179709, 204.95255121746132, 205.88168774980517, 206.19373200105829, 206.75064971141236, 207.52332979838073, 207.62216673566584, 210.3428435305151, 211.2863574016626, 211.58949968236905, 211.80463090220826, 212.12400723851107, 212.6405199063544, 213.87749184852103, 214.80976764033093, 216.51952211125689, 217.90361662228909, 219.43862125791404, 220.17507251210921, 220.45374937651164, 220.92445127200037, 222.4958603739633, 224.30171578965439, 226.40333535927459, 226.61645405278043, 227.30273580694751, 228.24773289101114, 229.35374175799495, 230.00436724056411, 230.09952516854, 230.89219024633707, 231.1431855770914, 232.68882018080575, 233.46245529734023, 233.54314659598199, 234.95132847778984, 235.55420508546413, 236.73779674493011, 237.45408170278409, 239.88322193317589, 240.46454752198042, 241.02167294284038, 241.30560912284767, 242.60722532662962, 242.69317838078302, 243.17527700087496, 243.663428944152, 247.20675919536583, 247.88547381959134, 248.19676956038322, 250.10084673969718, 250.54650236101571, 251.11078277152401, 251.87040824251551, 252.35951003071887, 254.85601557498285, 256.32679067613458, 256.53372879714016, 256.55619518728975, 257.45446466572946, 262.2660089425338, 263.35415080276852, 265.58471424060252, 266.84929739784457, 267.64031055850234, 269.87855362094177, 270.57503965557788, 270.95317523844, 271.18829509094445, 272.21930730268411, 273.30086557424039, 273.97196099759537, 274.55925734395504, 274.63335259920547, 275.00442512667411, 275.28271511442205, 275.85188901448578, 276.07638699312542, 278.79590325050543, 279.40886349484691, 281.66894565635761, 282.36890914508717, 282.40100309844371, 282.66295217992047, 284.77550070057754, 285.3730152064457, 286.05694481053695, 286.62764988154061, 287.59282985979337, 287.89649444900613, 291.90969755620063, 293.3109442972206, 293.53690856632028, 293.76026424036615, 294.9633162357996, 296.49095496899116, 296.6305487772994, 297.08514355649828, 297.31729715186486, 299.71080528051141, 299.89968722847038, 301.59531067207632, 304.28299699612467, 305.55134446483032, 305.65123638790874, 305.68035762450512, 305.74745952699561, 308.19208993202074, 310.5486483192069, 311.72453856837944, 313.02421489801725, 313.3776552780825, 313.63254027559117, 314.85861788618769, 315.16659662899445, 315.50888329929865, 315.95875495517771, 316.0303860808736, 317.01638569482827, 317.07032251030284, 317.21504214769351, 318.34757764152641, 318.40705703129731, 318.57576667068111, 319.56058674713518, 320.75624037783444, 320.87325828997461, 321.48859690379311, 324.57377855609326, 325.85931492763382, 326.40151576799417, 327.13754068621085, 329.129238537003, 329.22825864687576, 331.09578515019012, 333.69286739392811, 334.86150294502932, 335.1323864793921, 335.52398195536097, 336.43683533853817, 336.63852347422801, 338.49845821228161, 341.77818443445125, 341.95603368977021, 342.35067120910054, 342.58427808397494, 344.72131611393633, 347.46018997841384, 347.57429579418834, 347.74210708637406, 349.28504724501261, 349.31531559600535, 350.74600592032846, 351.142071922139, 351.90094880548287, 352.31928945381753, 353.31139574873504, 353.41591444833051, 354.03259274727435, 354.98710708988148, 355.39167317988688, 356.01093416822425, 357.25119728664765, 358.86406997121389, 359.8203416994358, 360.50291340315448, 361.37015806940082, 361.55019748591002, 362.3837781970937, 362.85033929440527, 362.877672839436, 363.8565870751242, 367.30798593651912, 368.60483951443348, 369.5373047753385, 371.11962571239297, 373.04374129652399, 373.13894058624425, 377.25388491941715, 377.88042042710231, 378.31758724617583, 378.57546305002677, 381.22270423462976, 383.02178938871043, 384.20275388749673, 384.49577655992778, 384.63952859963814, 385.98892498811585, 388.27200890617138, 388.83562721789565, 390.11669194977827, 390.79839258143687, 391.01070618453258, 391.6049019739213, 392.59355025930506, 393.72159301099254, 394.56350493142094, 394.87798961280163, 398.05682557404765, 398.23943599455293, 400.79102227825263, 401.80258913391822, 401.93801771528172, 402.1708015608985, 402.90168017142958, 403.45704661437071, 404.57961217800886, 404.91305783653007, 405.15424236362969, 405.30111714636314, 405.4522399150564, 408.89803424834315, 409.8806261961173, 410.85625200974175, 410.90511751496666, 411.26978246741987, 414.52926003170819, 415.21453141170042, 417.21671967839842, 418.16193396469185, 419.25840303601598, 419.95381036747648, 422.64309172763456, 423.47047295455297, 423.62573541818352, 424.42125913224749, 424.92827889007151, 425.54074379790887, 425.64094357032366, 425.76436169195892, 427.86052923703522, 429.06569627634485, 429.12422664863772, 429.23004312364304, 430.43353035648795, 431.49198447053243, 432.50830656838468, 434.00094409405324, 434.36613735353166, 434.51109696889097, 434.76297805653348, 435.04298806420678, 435.40081425476905, 435.46187956625442, 435.84753590025485, 436.21068565885622, 437.33874511647883, 437.75519228207668, 438.40182900158993, 438.65052671946984, 439.60419708960546, 440.94821007559148, 441.17590759628649, 441.73959717651235, 442.94810813354849, 443.00073031094797, 443.53283459080359, 444.68293487291544, 445.47323294546726, 445.52963331177853, 445.73046258031002, 445.76113628993664, 445.99464506929348, 446.60676593823501, 446.64993626434307, 447.20439402042672, 448.3800653926408, 448.42806426170313, 448.58242416027201, 450.71504756008864, 452.02852474728826, 452.95949593827913, 453.33926231940495, 453.44706787897735, 454.25752422690749, 461.38611602489766, 462.02102533485993, 464.52017733607931, 465.76653328428375, 467.0365285895798, 467.93713842210218, 468.65467434543217, 468.85393231196343, 469.50307528578503, 469.99880793502575, 470.42330461291021, 470.63249928964785, 470.80255611308337, 471.36167434060127, 472.76956506916105, 474.3549803811822, 475.04376674213353, 476.0962371378663, 476.8509694608581, 483.42051474318191, 483.5395695808827, 483.65715357766055, 483.70677570780373, 484.59539617168576, 486.48941400412832, 489.16817684926707, 489.70861306207223, 492.04210972311188, 493.6849269307674, 496.30957332732169, 497.82429262413223, 498.29423000118777, 498.86518686347983, 499.1518077007442, 501.08868634343617, 502.58676903370207, 502.96933060256964, 503.60979492431795, 510.20612704753137, 512.02135380029722, 512.7051412018717, 513.04484826417399, 514.40879384532855, 515.24330781175843, 515.53015840141347, 516.05262348361714, 516.91536562725241, 517.17885798565351, 518.33610538967105, 518.82910506721873, 520.85684329279945, 521.32870981925043, 521.52807699422215, 521.69691473728176, 521.87464735002015, 523.16028514109689, 523.31862751671872, 524.00227332912016, 524.10684550088854, 524.33403077644425, 524.47755579777515, 525.72065608501725, 525.92268727090914, 526.25544153894259, 526.85566056057417, 529.12314426696219, 529.84796378687508, 530.60599981268706, 532.54110774228445, 532.83301181719582, 537.43584104251829, 537.67360457096083, 538.8107408381901, 541.61662800448221, 541.88941229603529, 544.82551974301509, 545.92539037880181, 547.08511642860128, 548.55163891085317, 551.19957672213172, 551.55504165713558, 551.89438514181654, 553.0655748037118, 553.13350441756734, 553.33123850579375, 553.55678611925066, 554.57385062308515, 555.27180434677177, 555.64633824392365, 555.79633830311229, 556.86934700360951, 557.79722285101968, 559.47563923774749, 560.0441691802024, 561.45451857454589, 562.56454897678213, 564.62705475446398, 565.18279656314678, 565.52533330663221, 568.01375783899573, 568.91209110890668, 569.2783165433359, 571.07964505714995, 572.7495443958378, 574.22986800009267, 577.25403031211943, 577.43408356162809, 580.69321484099214, 584.58181074860931, 585.67361515878042, 585.70978439627709, 587.87729755762894, 588.11619063090131, 589.12090948378454, 590.3291600166167, 592.06330102154743, 593.14528684887284, 593.5967667643439, 594.45617630483969, 595.77666459522209, 596.46731435108745, 596.56089491857972, 598.89559369844346, 599.17261952949571, 599.40134324398252, 599.63253757218376, 601.57349022349433, 602.12565173244548, 602.42203442190009, 602.94669727674579, 603.06633756047177, 603.35261709266979, 604.73403652713296, 604.78938720936219, 606.0229104843612, 606.9412099551746, 608.31773468816084, 609.22417107178671, 614.76199132196029, 615.14040173159128, 617.30225807462534, 617.33990463241787, 619.16765196071208, 621.42845020960294, 622.53893460507811, 624.3438491056894, 628.07361457247521, 629.16546448475515, 629.47340737746617, 629.52093497378451, 631.28626162947887, 633.41424938903776, 633.75161530721061, 634.63933777190334, 635.27027043204214, 635.70007643515396, 636.01892990163708, 636.56671617150482, 637.92557433856916, 638.35801513426145, 638.40785555909588, 640.32498311696861, 640.97198240094372, 641.13125493001041, 641.67153933233135, 641.97906222252925, 642.96315140427521, 644.17890757910868, 645.29399335573078, 645.56976329691042, 645.92238598668496, 647.95062703339045, 648.28439077193593, 649.88088768593616, 650.08128454042048, 651.93621912847243, 652.87232602605889, 653.15463425706957, 654.48298241920645, 655.43876210291467, 655.83034950749334, 658.10076913241369, 658.65131997610786, 658.75767415659072, 659.35906698645522, 661.57240193546204, 662.23766492142306, 663.05844175112088, 663.09795967519096, 663.40939553013891, 666.77204022784383, 668.37955224472444, 669.71330717292813, 671.14558987069256, 671.88276366980733, 674.50707333677087, 676.1010941883693, 677.60417301361019, 678.39592889450444, 678.46166958269168, 679.3385035610695, 679.38674952063013, 681.11425777243699, 681.25395725968372, 682.00403371095786, 682.47618801014562, 682.81887963479016, 685.41351430235522, 686.21039119345085, 688.5825203126293, 689.27665992750531, 689.73393553358198, 691.20990564314218, 692.21503322373997, 695.90446160435988, 697.22941460147081, 697.59803308464029, 699.16133236564474, 699.40697450281084, 700.95361913797194, 701.47712924544453, 705.15609944370169, 707.15165499616057, 707.29472380045888, 708.99934575894486, 709.19686947434263, 709.6305968579328, 711.43609675220011, 712.07456243151807, 712.21105895077187, 712.73864279886129, 714.78046943643938, 715.86492312114569, 716.23952625503148, 716.57356469195952, 717.17201331820945, 717.8782986816741, 718.24291768431476, 719.32004108311048, 719.91225207024286, 720.65192761991739, 720.6948359694095, 720.73920231826605, 720.96723350353466, 721.34239691356072, 721.45721813603507, 721.95016012303961, 722.78315973480892, 724.37585560130083, 724.64820558847748, 725.76575211001978, 726.40726453414322, 726.50088572844754, 726.85694011904855, 726.91589681269045, 727.33453333004104, 727.45701697312461, 727.80261343278096, 729.12126684963562, 729.33883458977357, 729.59853950978447, 730.09440245845531, 731.47968624985435, 732.91793836978934, 733.48195189892203, 733.88474791824683, 734.1012773724791, 735.03483926100262, 735.18479968765087, 736.53124744605691, 736.92718213337366, 739.04516678973175, 740.03822578122788, 740.60641313877682, 741.234877899141, 741.46235519796642, 743.44055699330215, 743.62038458117252, 744.89695841984758, 746.10983593914534, 746.94308222263351, 747.18611405898616, 748.62865649311573, 748.99120619181394, 749.3306874100665, 752.57490950688839, 752.67650226356614, 754.20232122263201, 754.56388697256261, 754.8184779310501, 755.7884150883674, 756.67530528390262, 757.38659901554092, 760.3769554822411, 760.88874241141082, 763.16228710970324, 764.59447756768043, 765.45607231917847, 765.70557357601467, 766.47112950599353, 766.59315310584782, 767.45789777033622, 767.72918743443984, 771.42609440232718, 773.16691009817532, 773.42265426141921, 773.47043226344965, 774.99855604314996, 775.76621881537233, 775.81226447817653, 776.72032061042273, 778.42648435721298, 780.55746058303146, 781.04462067984684, 781.15144769905351, 781.62434126485005, 782.05991825262288, 783.84741227357688, 783.86979457209372, 784.16402488911751, 790.14283804967886, 790.5381125967557, 792.0120132398855, 792.22501797230279, 793.0275205000961, 793.32942447604228, 793.99483216406838, 794.88874635671039, 795.60579441942855, 798.89545193918104, 799.35334742030454, 801.63542352492311, 801.85571779967393, 802.71326673326405, 805.82764248221622, 805.99033484564768, 811.51908098843865, 812.13917687306389, 814.08821750800951, 814.14173895799911, 816.41783665406342, 816.74660487537813, 819.39959369663438, 821.73493355586402, 822.53781865614167, 822.92635101287908, 823.26778615787475, 824.94811787339052, 826.88962261156883, 827.00714999442778, 827.58842584046522, 828.90574668913462, 830.11150830458826, 830.66060864046506, 831.4179291751567, 833.91179014005422, 833.93489846508032, 834.95070238996459, 836.6748357179157, 837.13947699187179, 837.24261738538155, 837.9114720845206, 838.16874996751483, 838.77506616529797, 839.95201754146183, 844.62212231972183, 844.79824259103759, 844.87531206959841, 847.4621589632028, 849.82779660208132, 852.45425545582725, 853.42874421134445, 857.55402116757318, 857.60426431238227, 859.27081777148408, 859.79214283987108, 860.00394323738203, 860.39351969118798, 861.51288713761301, 862.93259527893395, 863.45979329241993, 863.82523577105439, 864.38234971671841, 866.14390222609495, 866.44431619830061, 866.76261748692923, 867.53947500528739, 869.10774951089013, 869.44397695863745, 869.73449334651241, 871.50024175399847, 871.60533218520357, 872.04216812271363, 872.24656822836926, 872.6013099581802, 872.76092233912732, 874.33252564014606, 874.71959685587512, 877.33954260045175, 879.04173604054392, 880.28495353352412, 881.05415219974827, 881.67488561757045, 881.9770505257917, 882.17829910609453, 882.28742128670774, 882.66863173862021, 883.50266527301517, 884.20799918611954, 886.58261100565858, 888.48152865661712, 888.81589367982872, 889.2599403169985, 890.8084968926205, 892.38836347379686, 896.81135720125997, 902.01850388612866, 902.19491500769288, 902.79324820170609, 903.9994822069558, 904.25797740117002, 904.58501700933562, 904.6966642107592, 905.97877688541791, 907.28205567170846, 908.24877490277379, 909.48191021502112, 909.76952931336609, 910.7170915237192, 911.87892106269271, 912.15397591305475, 913.39840715278251, 914.7815723992245, 914.86818703573419, 916.13028094355639, 916.33960354782073, 916.95276966724964, 919.21866115608827, 920.86011055436836, 921.00354127926209, 923.34581820835365, 924.63510027193456, 925.04355696547668, 925.13463960750573, 927.52871868215573, 927.66902199500464, 929.24637343341055, 930.503634595569, 930.57062883298943, 930.61369146431491, 931.49305394511941, 932.42502103626794, 934.05631574587164, 934.78669524611701, 935.32056791401419, 935.47822583940217, 936.5161575908038, 936.93145060717256, 939.82373946686948, 941.35660844015797, 941.50241772149229, 941.69395911518416, 942.85271602835076, 944.48414415737761, 944.81501379409656, 945.41112304437866, 945.61612098904152, 946.00018715773831, 951.40921764270843, 951.63963704713865, 953.19097726056827, 954.69296512284825, 958.43005629910886, 959.07993639209792, 961.21612052478349, 963.33007481295067, 965.9569216107509, 966.53628401127162, 968.21564162825655, 968.45374288225423, 968.79682128288812, 970.99589118672645, 971.07260978523402, 971.18764143368458, 971.82310231781742, 972.8923459863073, 973.06547685103976, 973.73228448450891, 978.36466429014695, 979.56608915664447, 980.51050310995345, 981.55078466673808, 981.59198889286552, 984.15270745204475, 984.84437062113363, 987.74177189539455, 992.28052568441183, 993.57606064866786, 994.26417455454373, 996.20176623253383, 996.88824679155721, 997.08253338200996, 997.43944428594079, 998.34373646847826, 998.65630811382971, 998.97432016453422, 1001.1453449764762]),array([49.527767469053551, 50.190158012352754, 50.248612520019094, 51.311886625024961, 52.311809862358693, 52.670564236713034, 53.070446122065242, 53.35645227245606, 53.591984609843429, 54.317174665221025, 54.687767117145647, 55.021500454601849, 55.140386451789524, 55.325226146340988, 57.588449371616896, 59.000848823271717, 59.09487446493938, 59.764022289808196, 59.948248170349551, 60.011720990604609, 61.837594189531423, 63.891535927687677, 64.406633994221878, 65.243506643967535, 66.94504182893796, 67.217648848412239, 68.934733196903096, 69.168572450755818, 69.706210476622942, 70.290724397016788, 70.646840273419841, 71.19027462299681, 71.466259584533987, 71.564774922967331, 71.638080283650879, 72.486965012209595, 72.507283271507418, 75.85528174549043, 76.173932115342424, 77.042235881526196, 77.527757805365681, 77.787189989979254, 78.444315905389246, 78.989349697062977, 84.560387170689609, 85.571771319051024, 85.671906039837253, 86.986782990449143, 87.013381970334251, 87.199418087047178, 88.434352865864923, 89.90089305223789, 90.372402605393447, 92.049986836102761, 93.426332630754189, 93.803076825176291, 94.200928645417349, 94.426360805651328, 95.165953652332604, 95.745281993967239, 98.42103940143835, 98.835612376824216, 99.010925343174407, 99.067454597866544, 100.61661242253346, 105.4303069316304, 105.66170413279271, 106.82461191057816, 107.00128770352498, 109.84597784877435, 109.99558027121981, 110.08384593358932, 111.25310961962495, 111.80282265124144, 112.18532901709044, 113.75645222527463, 114.33028891502133, 114.44727184060265, 114.92840491661015, 115.24752699686219, 116.61590093316261, 116.91640532891572, 118.0755119541783, 118.65258067314907, 120.69781576253766, 120.88143531887786, 123.20811873133491, 123.83572023441432, 124.44526231070923, 124.72606603770978, 125.81942529187627, 126.26545746834675, 126.85889769413176, 128.26508030096892, 130.64960188094696, 133.69167372184708, 134.07561680561645, 135.16391358471751, 135.60309354043233, 138.01193932547741, 138.35919406921556, 139.7208201203027, 139.9877031742827, 140.77067826665282, 141.61990567446207, 145.0197090012598, 147.44491722027354, 147.98130932334686, 148.02533017462406, 149.84466292212119, 151.58541093311152, 152.13689564322149, 152.29943216063961, 154.06800070113636, 154.73456209102861, 155.26609353038469, 155.56612035988877, 159.17452703394267, 159.3207988925937, 160.25447067219991, 163.26464362668929, 163.8140202510161, 164.45439265332982, 165.00585461604581, 166.98748531944742, 167.43303966074222, 167.88286028973025, 168.31720680725073, 169.97019859036507, 170.86869892910519, 171.49577661480123, 171.9495523343405, 172.10747281255863, 172.22590664208371, 173.02097006648117, 174.09434427737867, 174.23443698548127, 176.64886888482192, 180.17073668059692, 180.37965571407321, 180.82545005830832, 181.62371727848895, 183.93423913833442, 185.77401302566525, 186.77065150954726, 187.29594899768054, 187.50875292796113, 190.34932473864973, 190.75841296947135, 190.89936756862855, 191.12748225445495, 191.75959153340835, 191.88416203094386, 192.09933007221457, 192.33081321453642, 194.07607121599429, 194.84114367265238, 195.74189833547644, 196.68435938444134, 197.93770269557493, 200.59133433079595, 205.39994591125199, 206.00499548680486, 207.02579009205519, 207.59162598215684, 208.47013357988783, 208.70980515682925, 210.91221073596415, 211.22777439785582, 211.61944640356248, 213.10901557902648, 214.43794384788688, 214.79641550179568, 215.9251011771444, 215.99800008837255, 216.31780354624928, 217.40873155258731, 217.60120158747287, 217.8807242029518, 218.33832702389412, 222.35072330519458, 223.37972145563415, 224.48689016098959, 225.48698400052189, 226.09976183095097, 227.39477807644801, 227.57305936142291, 227.96908544763488, 228.45087388922173, 232.38765969670607, 233.62815487420207, 233.91768093091562, 233.97248732186139, 234.99201016337173, 235.63244433663351, 236.45649281359067, 237.62161323258445, 238.01289043799352, 241.21477945019544, 241.47897286945101, 241.71422840709423, 242.78706053947374, 242.9149412267264, 243.43002107924659, 244.33910001684873, 245.25940110184283, 246.41408434427294, 246.58277954811919, 248.55877892300794, 249.19728199463481, 249.46779101953487, 250.86442203172749, 251.23917490944982, 251.2773015290033, 251.72483766130321, 252.02400223212805, 255.45142939082319, 256.2401082125354, 256.47632553494805, 258.66400692112575, 260.38966020695136, 260.63154647526494, 260.69633125169463, 260.7237023244038, 260.78836920724291, 261.39936142034549, 262.09124739497821, 266.82149456062541, 267.7959153513259, 267.89930578078651, 268.27943404762289, 270.39598531804808, 273.5437636332594, 274.31693270834273, 275.19049537253306, 275.29906405042556, 276.417982286003, 277.83705875334692, 278.46964655941019, 278.90352744612255, 279.63178828607079, 279.82885797793307, 281.01154410801678, 281.1756114950868, 281.93694204260294, 282.09382243137566, 282.2919150746979, 282.76347657693196, 282.91383506259103, 283.02189827381278, 283.74300948978146, 283.98102924886672, 284.25302504825135, 284.80405885588004, 286.47400618529059, 286.76540327888091, 290.2291917702504, 290.325644875867, 291.01797506246982, 291.47940976743706, 291.83126421001811, 292.37707010235596, 293.94750948731843, 296.20019592081161, 296.67348163840074, 296.82539013914959, 297.34551981005922, 297.76002521567233, 298.73802466372928, 299.52598769271452, 300.02568235241756, 301.53912600162846, 301.81683479281963, 305.01317663418683, 306.12787447799201, 307.27820875658722, 309.58398094330096, 310.13804431062033, 310.19774184572202, 311.06835361356775, 312.84304826925717, 315.38898812718543, 317.49261397443831, 317.73934694282542, 317.83528465104376, 318.21439132632054, 318.81840980139339, 318.93076777487124, 321.16432042207578, 321.69432136511932, 322.74834199125945, 322.96723234178063, 323.37892001011841, 323.74928016317506, 325.2456685924048, 329.12008762136247, 329.89594183402733, 330.1850881015518, 331.18683711926082, 334.63442391019646, 335.80109152864185, 336.02138234025523, 337.30840393806022, 337.37794957605723, 338.30091110218353, 339.98049998646457, 340.45485540425534, 344.64857699252417, 344.96006255202497, 345.10156299528404, 345.66235405933901, 346.6831563503323, 349.86804123616201, 350.55492246249281, 351.85596618466735, 352.14235193339101, 353.21071967976485, 354.47252716101707, 354.58827974854279, 355.00648394599585, 355.39048119286468, 356.06979682954898, 357.414259938952, 358.22131228835701, 359.7551059920529, 361.0724124480052, 361.09378388211155, 364.37802222311308, 365.69122081417305, 366.93629912612988, 369.07667419645134, 369.29103546121229, 369.57548703588924, 371.03312764159875, 371.45702001307575, 372.71459047357047, 373.29790630105538, 373.63779768745792, 373.73622835319077, 373.92211861351757, 374.89775083689108, 375.70720514760734, 377.38220976707851, 378.59870874173902, 380.06391120673777, 381.52103564762905, 383.3727861123009, 383.76235418119438, 383.78289736144114, 384.0904406842879, 384.2255821744742, 387.69460311595424, 388.05262595625015, 389.92965205802051, 390.65547349801273, 391.28108221142446, 392.1373351353962, 392.3538458338906, 394.9002565360546, 396.75060958190801, 397.04855924521001, 397.36280939101192, 397.88406659788234, 398.30758080518581, 398.62487683669718, 398.70172674581539, 399.01177559355767, 399.06565830321455, 399.13035989579879, 399.36032343836172, 400.29254122062036, 400.48504489190304, 401.08422708421796, 401.23061803160596, 401.83863399471778, 402.31106394547101, 404.21252462440589, 404.59088745063337, 404.91954509958333, 405.01935386017271, 406.43628988292841, 406.66713924339513, 408.35932051652264, 409.18459713492297, 410.08014581403131, 410.24242293157567, 410.60403832471354, 412.08298339440836, 413.21201118051511, 413.24333181577686, 414.65302703814569, 415.32059157814797, 415.9423763777645, 416.19788305877182, 416.45226615004481, 416.66270829227528, 417.5482213991869, 418.96446024346221, 419.1829518905912, 420.18234593383079, 420.81070644129534, 421.87534479600419, 422.70360783592679, 423.53509381277115, 425.73069841042025, 425.81262630397867, 427.85614470395586, 429.27699317561706, 430.83096989626813, 433.39469040252777, 434.35031067051875, 434.48236823286607, 435.59863780330897, 435.63648025042187, 436.16867425936618, 438.54188172277702, 438.77111368654761, 441.03164882098235, 442.27541037817531, 442.46926237179883, 442.68931210443355, 443.65885331942206, 443.74564722566532, 443.98722893477321, 444.86454977458976, 445.04706174790346, 446.54186122645075, 447.06399158724435, 448.37662435287803, 450.95661099706638, 454.00424543046807, 455.00067279827766, 455.32635289390623, 455.78629661658169, 456.35658381891869, 458.12901100436807, 460.18787371429841, 461.2360282065622, 461.72345001817632, 462.23173197727107, 462.53145808571122, 464.17091528591556, 464.26276225170341, 464.45177949078345, 466.99635163852406, 467.28917988952497, 468.484866214627, 470.7299153663335, 471.81190349581601, 472.47282226048077, 474.47821664817002, 475.25172503629477, 476.13020801439779, 476.65059429311236, 477.33219875147722, 477.66935538855472, 479.6257114132336, 480.97999033692946, 482.19809450653713, 483.82205173755199, 485.22231821206816, 486.03108943113659, 486.26953544259061, 486.2930933314517, 489.22385698654682, 490.18397032353357, 490.67931916378944, 492.12251503344413, 492.16309261900818, 492.53418088713835, 493.1968033266732, 494.44183330358243, 495.421731902445, 495.47333575468969, 495.55935867278168, 496.27175928981723, 496.83836144323891, 500.00325207647074, 500.28882797977445, 500.63460229438357, 500.88102731265519, 500.96741562962518, 501.07272973963978, 501.82654956762718, 503.13462283488377, 505.98328875236928, 506.94106277535059, 508.55081764431446, 508.80461883689651, 509.90901620584725, 509.98290565343632, 510.73039840118344, 511.1640237730532, 511.72695436500294, 512.12252383710324, 512.7515449282896, 513.48487788177317, 513.82420873396677, 514.42382932544922, 514.85802333341951, 515.14554858992437, 515.39531481317999, 516.14562171713033, 518.19816904230117, 521.01796951454662, 522.84950383456203, 522.88727728829349, 524.44080391640932, 524.55585013793257, 524.72933854028179, 524.90895800556098, 527.81833373585391, 528.47211268885007, 530.08980010643165, 530.55490055261907, 533.18193595770163, 533.20394161791137, 534.25760248553195, 534.8314991662462, 535.17315659234396, 535.45933394471399, 535.62835752949172, 537.07711507483691, 537.63541454058043, 537.93701352842675, 538.92817494390704, 539.43833970387595, 541.45534626379015, 546.65860545469491, 547.14076931185741, 547.69702269405548, 547.92633685126839, 548.24548122698138, 551.33107381472166, 553.05685862032055, 554.30121555104404, 555.74985487897789, 555.95844849236516, 556.41495776159547, 556.56303207242115, 556.95426519686259, 558.46097625941275, 560.40851846873306, 563.79220606248509, 564.85311707793835, 567.33027572759306, 567.91779313384711, 569.02480518688071, 569.225247978629, 571.48306067436397, 571.88308776267434, 571.9610234534199, 572.11549932678338, 573.96959280082604, 574.00749997624246, 574.29233315520526, 574.56512967839979, 574.73007331677388, 575.99196528396772, 576.41597115928823, 576.94711113301958, 577.9598594474993, 578.76013902295915, 579.11217907432251, 579.77107665157519, 579.93841188514182, 580.80254362260132, 582.56151708769448, 584.43790851738663, 585.26161684606109, 585.45241035203526, 585.57094959549045, 586.52296143986041, 587.32906247576568, 587.53712958386495, 588.87435829612969, 588.92796559522594, 589.37821789295811, 591.47955433832453, 592.22919138214093, 592.64033757749019, 592.92945007755247, 593.05750588225692, 594.2050024202515, 596.8376533472458, 597.10861477307708, 598.18299773094088, 600.66812091926022, 602.85938418586375, 605.03136235589852, 605.33920864782942, 607.26420733059558, 610.03214985709485, 610.08994884299898, 610.23878325597889, 611.52012987126977, 612.49923853157964, 614.08128950988873, 615.37189727384032, 616.53106980667121, 617.12546667258255, 617.87206341195133, 619.71966214276722, 619.97222523260007, 621.46694382877092, 624.38100800651773, 625.73362692599471, 628.28044419836328, 630.86991864336051, 636.21413664297961, 636.37415676534783, 637.5124531027102, 638.0896451473418, 639.27561467506587, 639.89107061076368, 640.10271445452611, 640.42965780110671, 641.34854920579619, 641.50302985057351, 641.79453760318086, 642.28668511573358, 642.48435601969015, 642.86837612915053, 644.39181497899665, 644.91094697588028, 646.17023426177229, 646.44699727139118, 646.70052426449479, 646.96610201680051, 647.51411680764591, 647.75984331951179, 649.14291949308483, 650.24551855972391, 650.41196861053402, 651.55861876347899, 652.75784971746748, 655.62444275782332, 656.21142432318072, 658.49208347296326, 658.90559343160237, 659.05983524817827, 659.43540839881166, 659.68294653449414, 661.70141295562928, 662.52398593844771, 663.20443146890125, 664.50005072739486, 664.79861386163418, 665.68822213124292, 667.74951370777001, 668.87923187243757, 668.96483630096316, 669.49853260512873, 676.54912757507634, 676.92726138421119, 677.84894589533326, 681.63951360306646, 682.51880427308367, 683.17878912406377, 683.75604064094716, 685.84262553693827, 687.25933148865101, 689.62900862858544, 690.2057222728605, 690.47892769041732, 690.54345583022405, 690.66597491569212, 690.92699467482294, 692.71677080360359, 693.08693778942336, 693.29651428741454, 693.40966396469275, 694.62888645029352, 694.99369905909714, 700.38603103130743, 701.22633307509568, 703.89163805978569, 704.89417495489647, 705.99817044870508, 706.05732822508116, 708.81124389948343, 713.57324874176663, 714.95337081697733, 716.14069483360402, 717.80936505665454, 719.64318032339656, 720.62751705052438, 721.74281744603832, 723.57987885516479, 724.48843179958897, 724.69830438317831, 725.13194522637298, 729.70976314267102, 730.04523287593929, 732.40916515729509, 732.62001875747524, 732.89599031992771, 733.20684721764997, 734.20506852909807, 735.58429962289028, 735.65005568236074, 736.007074572291, 736.31044580406001, 736.72705494525246, 738.581939893254, 739.95666019486453, 740.78763457280968, 740.93789936220639, 741.10531200783248, 741.46725238228487, 744.14968905809405, 745.35775650857738, 745.60236002500676, 745.6463237058033, 745.92587901237289, 746.4960698310357, 748.31653510013973, 749.3191940093518, 751.80623688502919, 754.42836198228076, 755.75867818765926, 758.13437318069828, 760.01060957909544, 761.20160459379497, 762.12999259886931, 762.26655396653064, 763.9772372562295, 764.36784286265595, 764.4189462836747, 765.55590949796385, 766.07160802374369, 767.05838732505811, 768.21334190138225, 769.92551283926798, 770.0128002884959, 770.24551341084123, 771.53052244578396, 772.82848402186278, 773.04854771964654, 773.16885265394205, 775.2646836845305, 775.83883108260568, 776.66253581069964, 777.62372205664292, 778.26951239222944, 779.96828485521939, 782.76148877497383, 783.73678587062147, 783.96517385920879, 788.30703457423942, 789.43040123432365, 789.59431251487217, 789.63511226008154, 790.99806252239125, 791.46839766504513, 794.87286907839405, 797.70582438621341, 797.93125045402894, 797.96730287525452, 802.67551793154894, 803.1831213443329, 803.28728849492836, 803.70237349856598, 803.77974278706165, 804.80605113381012, 805.20681831449986, 809.54670170523332, 813.05017829172618, 814.23612608451924, 815.23436662586494, 815.98402498830285, 818.27402556541051, 818.65660644989737, 819.22067825375109, 821.84002645415251, 821.87941447870378, 822.12095450706192, 822.99876195560432, 823.32524593784922, 823.66305753722042, 823.87048105748636, 824.41536356696088, 824.53698224429013, 827.99405084758416, 828.47891536062491, 830.33785758293641, 830.41063177663636, 831.53270896890706, 833.62507818638721, 835.62921917576932, 836.33968669778085, 840.40770187414, 841.06120127835493, 842.17411163370889, 843.80838810176681, 844.31014551121177, 845.18147633560466, 845.75810552231906, 846.18581875094492, 847.38083836085104, 847.6291245566465, 849.31625871329277, 849.35775037578037, 849.80678527669454, 850.9961782309914, 851.36950039981559, 851.4782540593136, 851.88583816532559, 852.88517259802109, 853.79133324140639, 856.12023155422571, 857.51808058039023, 858.91788996851551, 862.0866005615195, 866.33666379145052, 867.65299687677805, 869.29125340228177, 869.56806409836008, 870.40950542413896, 871.4274821858819, 871.73998267083414, 872.41535402191914, 875.16605796517536, 875.81649010349918, 875.98658045894069, 876.16163444625897, 876.2873605070555, 877.20592211093356, 878.4531581603602, 881.2147390037361, 881.97078485565703, 884.15701498421583, 884.22180359277627, 885.17244253169395, 886.80822012774036, 887.92224272886187, 888.23445203466065, 890.0895781499687, 895.81562753728929, 896.17580201476903, 897.91208936227042, 898.73475069736924, 898.92203856150377, 899.2431496505294, 900.00814218487619, 900.13599740743405, 900.87359068567605, 903.00426505484552, 903.65852731626364, 903.71742528172115, 906.16727017832557, 906.23203808243898, 907.9710637139226, 908.34318293873002, 909.10170945282891, 910.44483688558194, 911.57345591246371, 911.7553144426837, 912.372338664484, 913.84895821188888, 914.37574369133586, 915.52487962039459, 916.18424107651549, 918.23613094730615, 919.40188962541265, 919.91149980342141, 922.26725603802311, 923.92076255017139, 928.08390111198275, 928.49483493195737, 929.6304683472797, 929.8406650979382, 930.9495260946095, 931.4706647313202, 931.64800871152249, 932.01799942966863, 933.02374630512281, 933.45528471586124, 934.03138087594368, 934.15989928401245, 934.55312148231246, 935.30364023208631, 937.27652505425408, 938.99093726555441, 942.54937868628417, 943.83853141926659, 945.8977585583898, 946.02466980322731, 947.49878339555869, 947.79845327009718, 949.08484672455745, 953.74418625316719, 953.88876791178507, 955.1455862964084, 955.82446106944644, 956.85174822743477, 957.3749127574124, 958.49546978273622, 959.16559856525771, 959.48397036793892, 960.21112027813615, 962.27362183121591, 963.02737826637394, 963.48262031630293, 964.91588694275163, 966.33329962328776, 967.16118813948253, 967.49334266575863, 967.61375146046146, 968.10036902792501, 968.87842088944046, 969.92374703661972, 970.00934801888434, 971.70872991980571, 973.46953380904051, 973.7585995452157, 974.33140860104709, 975.74856118595369, 975.82312945037097, 976.44079901535224, 978.35659135880985, 978.45042574503248, 979.79558060419845, 980.24815626705367, 980.4931903963427, 982.64477719050217, 983.17516677035019, 985.90399219948586, 986.83617135186694, 989.27658360610053, 990.63280789465011, 993.06850412791869, 993.513067313585, 993.84593090422504, 996.77488591951544, 997.0045356760794, 1000.4789270173542]),array([6.9350047287798589, 7.1527660491192986, 7.4988055814860237, 7.8555911515965464, 8.3066761097878477, 9.2477717840011096, 10.609658505535542, 12.528042640302717, 12.627223229868852, 15.55000901097957, 16.562081252122187, 16.948886133698409, 17.20619124886591, 18.517537803905956, 19.024361917980574, 19.335125763695075, 19.637745196800562, 22.907735678742004, 22.966697162999196, 25.832736661054373, 26.001067578783662, 27.613684371027631, 28.481335003985617, 30.282105899424394, 32.670728924894085, 33.515530823245392, 33.828675252259941, 34.500237070076345, 34.733598445012227, 34.937148217219281, 36.648436830630175, 37.526941628473544, 37.64717207181576, 41.124353955559577, 42.714914987158402, 43.55893213084687, 43.706621485835853, 43.872242542707774, 44.553006330215702, 44.730517954104378, 46.60255904406776, 47.536438185262782, 47.689851956235032, 49.382673963799306, 50.070970280895786, 50.528149694377241, 51.536256842658588, 52.038632978132441, 52.134008294629417, 53.279650381316202, 54.366432582363977, 54.948970543774891, 55.036185512352553, 55.116692078687208, 55.444325927940376, 57.260233038033377, 59.289091461311259, 60.096963428218203, 60.466961093913874, 62.204573231666259, 62.266813154337477, 62.642917770488388, 62.698386625219925, 63.88164708502589, 64.822509131080238, 65.412747151628636, 65.496607492972245, 67.620730503961838, 67.92730602391913, 71.434733389495278, 73.423101357896556, 74.73352962351062, 75.590549220157399, 77.668970420166815, 78.643154568128935, 79.535943907849273, 81.47628780401449, 81.708403943562416, 81.872239556368442, 83.021309465757938, 84.067604535903655, 85.694497070479429, 88.33603588740371, 88.945258156504948, 89.3895643562266, 89.605011829816405, 90.168221887582746, 91.469905454150421, 91.704188082223666, 93.196101122841384, 93.431096275906299, 94.507249013512691, 94.650545998461695, 95.939361943446514, 98.15072714996343, 101.10659018542889, 102.00458149017024, 103.42317285008576, 104.0113523335626, 104.28463831628019, 104.58467284032415, 105.10103074508568, 105.80400789783242, 105.87072139573145, 106.10412184215579, 106.14482645662079, 107.29564308544469, 107.82034621810756, 109.84297283455645, 110.02004734753058, 110.41003903150124, 110.61873551660115, 118.68242456960962, 118.76220688265785, 121.23600210853344, 122.39373084610745, 123.09160483308433, 123.30841157873168, 123.39228518055225, 123.55986219943711, 123.77794147357228, 124.00505037408148, 124.43479192508629, 124.49299831014791, 124.76919270822236, 126.62602136473974, 127.40536774955378, 127.4382670214052, 127.80182639137011, 131.56575360436383, 133.46076848946703, 134.09353035367147, 134.52967029785282, 135.35000644014801, 135.51001494191289, 136.49110923392266, 137.1338883556013, 139.54741994463984, 140.55252847521146, 141.90898256594861, 142.14706018171751, 147.82058263971297, 147.93219902953632, 148.19231746847532, 149.26214208714904, 150.15151986350466, 150.77862809166214, 152.55987486405874, 152.7718562612007, 155.06167592436736, 156.85806260142559, 157.53905215075795, 157.98326792236341, 158.28800264395562, 162.45047185780663, 162.47556249193443, 162.59926989351993, 165.21828819828519, 166.89099246222892, 169.180486849798, 169.61348928958728, 170.33399817297885, 173.61097836241882, 174.41017364245198, 174.51989758094601, 175.42396487911614, 175.60163672033912, 175.6718181146143, 175.92379537503632, 176.85217409970102, 177.0630117745385, 178.60693429642214, 178.72566090309445, 178.96256198964218, 179.28015716770778, 179.61654851549389, 179.7023844221936, 179.89138961866658, 180.28913361997124, 180.55154588389149, 181.1541246318138, 185.76733291284881, 186.78343644211958, 186.90726888577257, 186.99882165508873, 187.48243013360067, 188.54924644021062, 190.56391883288373, 191.62608650211965, 192.1932618834912, 193.66873267735423, 193.69741616399722, 193.96775702515455, 194.41860699247934, 194.60785031980606, 194.67638043092819, 196.46613487678061, 197.96588653481516, 198.27942879460809, 198.77634315328109, 200.38542355069262, 201.08977411106662, 203.7606745290212, 204.73803009646983, 206.69622139628351, 206.80959732807054, 210.57600446084504, 211.57622506674272, 212.0272155044164, 212.62313915640377, 212.94144601889943, 213.44006284144075, 213.90111705713875, 214.57761959350276, 214.74474661673352, 215.49620604658236, 215.54532062247318, 215.87503146735546, 216.41846432274832, 220.00533470823842, 220.09065362242197, 221.49210354029645, 222.3029405971885, 223.21910293967963, 223.90630508205692, 224.57775025811745, 226.20631960503752, 226.50683223103897, 227.20775545425198, 227.62409466012454, 228.46708371196851, 229.63971358314572, 229.78518444778777, 232.58299226449361, 235.08133013393109, 235.39722291449047, 236.51860563297015, 236.59889039469599, 237.5035866800043, 239.79674697451483, 240.4730889144829, 244.30788358350728, 245.51600064611964, 246.37423867001343, 249.7004294174545, 251.70507924995457, 253.27885298218163, 255.43781769678111, 257.34575349472738, 257.4492953176358, 258.10512843276814, 258.47189768952632, 259.74601557302594, 261.163837739028, 261.91565550079463, 262.50774406633877, 262.90718697179057, 263.59643852903986, 263.7726693039678, 263.98408934499463, 264.62729592593149, 268.54773321226338, 268.85605658839188, 270.80553210306573, 272.4602796484063, 273.75365463434764, 277.56923681976133, 277.86462973391946, 278.76225254156441, 281.25131206119863, 283.59434133470239, 283.67446690197085, 283.87384249262323, 284.35295805537766, 284.76507430054693, 286.58893596063263, 287.85956840265777, 290.2382243424575, 291.61796730384634, 292.31233177852567, 292.73691114917386, 294.73122273704973, 295.23256290214141, 296.25186804162365, 296.67738202363381, 298.40929409441662, 300.37592461453534, 300.78250781408741, 300.98610703848482, 302.04738492061898, 302.88765279310849, 302.92532814667533, 303.71839211349237, 303.92469375148335, 305.92136737540079, 305.963393210574, 306.04061016280576, 307.12959144738261, 308.95998379350544, 309.02259241254438, 309.16957904647631, 309.69538972196119, 312.08283840430045, 312.82812430782451, 313.00081656956706, 313.15520458909299, 313.49785664908472, 314.37419959891992, 315.01517809376298, 315.39621467475513, 316.57268003873486, 316.61766314315537, 319.10558504425427, 320.18772787386473, 320.39124015395032, 320.42048338228301, 320.85058252675032, 322.12566600121846, 323.23392480589206, 323.60840972461716, 323.69430423854396, 323.89309712335097, 325.03741014371099, 325.31622126191564, 326.26233311145415, 327.18686083617627, 327.36749795682226, 328.97439926977285, 330.0281395908678, 330.42697763231979, 330.50474607761009, 330.74821902610074, 333.22541918280797, 335.40498992000619, 335.44582385923025, 336.41092443355939, 336.9996599862547, 337.36189526679465, 340.16034518367212, 340.91740816857771, 341.34173167737976, 341.74098513077479, 342.18227741518768, 342.99528951830337, 343.66868686051924, 343.91986063459149, 344.46603108205574, 345.33555575513071, 346.19732389150187, 347.6711747782017, 349.02604028198266, 354.91741835518025, 356.8513628144002, 357.35540985574039, 358.70035753074927, 359.35324980004441, 359.64620077463235, 359.67847198131045, 361.30503494434851, 362.388140109495, 363.07847413240381, 363.62356174885696, 364.67445192057482, 366.8531678970935, 368.58131848194517, 370.19481511339285, 370.7569892192169, 372.04925269731598, 372.27688769029282, 372.30691701127483, 372.99910921284709, 373.25121218489494, 374.19288213460908, 375.7950860814027, 375.83940017456695, 376.23959024412909, 377.64465244847355, 377.98321600308111, 378.06066378387732, 378.42553670729745, 378.55871334749304, 379.14997951088304, 382.29103502008945, 382.88895188804196, 384.1656703115608, 385.77830746832336, 386.61949950865204, 387.06449982934879, 387.90511730267758, 390.90736073896466, 391.27871479336119, 392.28333549608794, 396.62793609749582, 397.88363693420615, 400.47047166685979, 401.98683334893542, 402.89405923197967, 403.3973771845491, 406.71618663853548, 407.50637564020735, 407.96968147796503, 408.20857992172751, 408.55539994272442, 409.09059995575774, 410.97583183825861, 411.94894571322232, 412.56914413526249, 413.70239176850447, 414.91752239810057, 414.99639737308428, 415.93355599617081, 417.34872971206005, 417.50675482221902, 417.71560758773165, 418.55460145624272, 419.53277350596994, 422.19983265957842, 423.19490637942852, 424.15139364930525, 424.8059891020585, 427.08907011242326, 427.86128441280641, 427.91414555305602, 428.0759295952293, 428.96972070161769, 429.75337770046394, 432.77988439847286, 434.49759412014271, 435.53990044705137, 436.35388720062946, 436.88976594130099, 436.92177029683484, 438.06841703673882, 439.19567184440598, 439.86798076545972, 440.27516832831333, 442.01172431362102, 442.98331301118043, 443.64165972100147, 443.95045042896987, 443.97588075175577, 445.95510608210219, 446.11548645473295, 446.21211246584232, 447.70625357307921, 448.619347770378, 449.43869304823608, 451.20558321389098, 454.58111453671722, 454.94386012644338, 455.04105559715759, 455.10982901845972, 455.72930741990245, 458.43128519715509, 460.58587607419474, 460.74520343815647, 461.30762451052158, 461.85644007834867, 462.00126468511644, 462.57224477346892, 462.72938901593346, 463.13974095669005, 463.27049820272947, 463.65906853046459, 466.96922242526392, 470.90670488028314, 471.40796554651024, 474.95847460128277, 477.09316253225472, 481.95887651826655, 483.3659333812339, 483.5238606657295, 483.89241580690071, 484.69689183657164, 485.59130561603041, 485.82364031193197, 486.25914171590722, 486.83080423445068, 487.34146640036732, 487.48978554677086, 488.85898428738597, 493.29560435887169, 496.75500671605522, 497.06868087277769, 497.56744654788554, 498.70572780421134, 499.3334373536386, 499.83978453081187, 499.90374299280393, 500.13484552582366, 500.63459501325275, 500.82089002950755, 501.35075829732375, 502.86368257022264, 504.61168822266637, 508.79174927169913, 509.41892315673505, 510.50418407168206, 511.01418315334769, 512.54806095968263, 513.93157366055664, 516.00860032849471, 516.55773905031845, 517.23266884719794, 518.23511602756503, 518.40654484235415, 518.74409559575736, 520.62975865615442, 520.95182842907752, 521.5651861250052, 524.17328665791524, 524.43320363310158, 526.44645068793443, 530.4564143977085, 530.94575610937966, 531.78414787874635, 532.08212063631527, 533.72097027129917, 536.01428029249075, 539.68253025418016, 540.04477995993489, 540.23208365804089, 540.57939126628241, 541.378934759098, 541.74797995029508, 541.83907318755405, 542.09450188390508, 542.19293737768055, 543.10727842512108, 543.31256127326276, 543.63498883563295, 544.27196977928543, 545.88125483195824, 547.03820388289387, 547.19583182004169, 548.3502593658751, 548.7093336231377, 548.95919611365537, 550.87733600923752, 551.12228667331419, 551.27688708716323, 551.41924899531102, 551.83740628651958, 552.62441572515331, 555.27822956733598, 555.63091100625218, 557.02266812171433, 557.52197445413708, 558.30281180365648, 558.54176154925335, 559.17337567155289, 559.99960353757785, 560.87628932585972, 564.98207416050298, 565.35419710080441, 566.03295911144653, 567.10749631599231, 568.19330273816911, 568.50360074977436, 568.76844032054032, 569.64692278009397, 569.96631287344439, 570.03147087915113, 570.74515212338133, 572.0927556349061, 572.64649407026775, 573.42562727183315, 573.73900011707451, 574.90464994018498, 576.42367578642427, 577.13086700093163, 577.92202701257133, 578.00979090206886, 578.14936416510648, 578.82770565077863, 582.894680530919, 583.26977705127581, 583.29035955401173, 583.70735633374625, 584.42563713482582, 584.44970687850639, 584.49073002527416, 584.76971792538848, 586.74991689613626, 587.11595793843378, 587.61288888850447, 589.57413691898842, 589.77527338506843, 592.10511365921127, 592.55951100683421, 594.08592194283483, 594.3405273307219, 594.83749855255962, 595.79946966483499, 596.50210758156175, 596.80292607298838, 597.24697150066913, 597.54000165896525, 598.11027875922332, 600.2317781954871, 601.58466372838416, 603.18269151336369, 603.29779174667772, 603.57169467131712, 604.14726176649208, 604.86177620352726, 605.75801056569014, 607.70086193301211, 607.98261384345074, 611.86706159640573, 612.35375855804227, 612.81555344581864, 614.25372419893802, 614.4126839965777, 615.47734231492052, 617.30704131909204, 619.26901695579875, 620.01073203208193, 620.96107301861252, 622.58899383236769, 624.77811953586104, 625.97800827949902, 626.04321148866723, 627.39489336830536, 630.43759753053939, 630.90913013078068, 639.46906936394328, 643.79748669320759, 645.48775807772677, 646.56241647008687, 646.92240444257277, 647.74631157114186, 649.06851612136143, 650.33234616040113, 651.2997949959472, 652.17688158091335, 652.97230736918482, 654.00128841166543, 654.63841137935412, 654.85387330740809, 655.79153927518712, 657.30684498292533, 657.67316404927169, 658.70350663504587, 660.41418787936482, 661.73403556134951, 663.2589210355618, 664.80089653010623, 665.34834208075711, 666.29226928121921, 666.77359020670065, 667.04492333217809, 667.14524428685627, 667.96640094409247, 668.09257446476545, 668.47700372808231, 669.17584014322119, 671.68173347265383, 671.82593092090815, 672.93891880301112, 673.38285748169324, 674.98951599887687, 675.52053891394644, 676.42823918030354, 677.78645290332031, 678.55628677401012, 678.95441876162681, 680.77187195830243, 680.79196210575765, 681.81469371410435, 683.72122446617936, 683.88064878722469, 684.32774716224162, 684.51921008516933, 684.59497779359481, 684.79884737440307, 685.43874488773668, 685.92046464282805, 686.52906406835336, 686.56313462634091, 686.73524131406612, 687.26384613326218, 689.18429910220493, 689.53787670412009, 690.08370805911773, 690.88806995481877, 690.94592776361367, 691.24629171836136, 691.63493621257669, 692.98228473065717, 693.20729621140492, 694.20972516896222, 695.00058531685488, 695.16661758124837, 695.41846093665799, 697.41109568355648, 698.30596522815983, 698.84490396778665, 699.08946519576307, 700.87388208021127, 701.49699777131298, 701.54660828130818, 701.90155492584074, 706.90706224097562, 710.05966247206698, 710.80755027484065, 711.07484074800618, 712.50693819515845, 713.40216226037046, 713.46677839198969, 714.39930220497149, 716.20825846681498, 718.45386682018909, 718.84081462884456, 719.12023969294819, 719.52429001683527, 721.19503948083013, 722.46364387918732, 722.49993087492442, 724.32222418824369, 724.45651929731332, 728.3707686473216, 729.05523111177149, 730.44731588748891, 730.47773412282675, 731.15910835673412, 733.06899938796198, 733.18038439975282, 734.13194513741564, 734.87060564281944, 736.03403955819408, 736.11945452435577, 738.52839372757887, 740.37048152380532, 742.28611818949832, 742.88659345494932, 743.83579781137712, 744.0908376914989, 744.46266980319058, 745.51595823309128, 747.16848176259066, 747.41892059364943, 749.74437940286373, 752.20543035895605, 752.91063241079473, 752.992432989897, 753.93667710050977, 755.89850423282007, 756.82571741486731, 759.07556680525045, 763.67602460425144, 766.66397633058841, 767.1175303188835, 767.52420472446283, 767.75529148974567, 767.77595248835348, 768.14739595807805, 768.66959368544951, 770.26322157448169, 770.7614364140336, 771.54122084529286, 772.71243183493516, 774.10559069831106, 774.80250519472452, 778.59023212393936, 778.98451742515147, 779.15470486005984, 779.3274648768521, 779.53019841960861, 779.725596400369, 780.65609021335217, 784.08751382559535, 785.15921178875431, 786.40399219083463, 787.11599387894216, 788.13344909422881, 789.58886925241211, 791.15951087408655, 791.38143754255816, 794.4360686653813, 794.66038774473918, 795.00877858172964, 797.38978703261171, 798.72924358809144, 798.93358948569357, 799.44367513282134, 799.56707282473974, 800.18339594507393, 800.51916136113005, 800.69064377477378, 804.48914731862715, 805.00105189934868, 807.37266414969861, 807.92376976624098, 808.38122063169988, 808.69981164654507, 809.00681114568977, 810.11612648357016, 811.01739176627916, 811.71397317939216, 813.08140860089509, 813.10308224373205, 813.68999925649223, 814.74457263286024, 814.84400332181303, 814.93108988988786, 815.39460955548998, 817.00248779603294, 819.13514863265027, 819.92020352102315, 822.5670655965049, 823.61806904874038, 824.73266715065597, 825.7822492596282, 827.49346251475572, 828.9100312415444, 830.18529284365582, 830.23402673419514, 830.79407290361416, 830.9798413086844, 831.17839809070517, 832.33925378236836, 832.7588369609241, 833.78508039294616, 834.10174015306006, 835.08831570829295, 836.224426686112, 836.54225326051403, 837.77768023425847, 838.0102807296214, 838.62570411728245, 839.49335421874957, 841.84899576702708, 842.40848175460712, 844.70949405090607, 844.76786569868591, 845.64211072569526, 846.04197104934337, 846.08287231578311, 847.42275588267728, 847.97502818625139, 848.45599864471387, 849.58489143763188, 850.82365332342397, 852.94444698647396, 853.18735083389231, 853.67036570941116, 856.09822803152508, 856.72004910866087, 857.78239543801112, 859.08886222395495, 859.91419565865226, 862.76014362182127, 863.67771468428646, 864.85592455987887, 866.04989828961061, 867.34664542915027, 870.29985491653929, 874.84305043839345, 876.56306854502998, 879.30255510426139, 879.38600369339451, 880.0941525554291, 880.8497017403256, 883.95515314070053, 884.38790196356297, 885.74336330138374, 886.55558301255985, 887.10707556651971, 887.45308679473101, 888.70608327427715, 889.28645616237748, 889.3784562602026, 889.91520687147147, 890.50541074372484, 892.47094450128225, 894.29930793544554, 896.66874363668353, 897.07678608448191, 898.81944083086785, 899.80297238275409, 900.65078599171841, 900.93857121627411, 901.59172365821371, 901.67650634457755, 901.78915728442962, 905.0105300430024, 906.0833488029059, 906.14510308752995, 907.41419451395927, 908.16949003450918, 908.53681505828911, 910.04965370312186, 914.92473214890117, 916.46721488750802, 916.94364449984744, 917.58051541820907, 917.97187834235024, 918.26571331579055, 920.07463239736978, 922.78492205274154, 924.05451492982684, 924.4094568026037, 924.55257826805268, 927.45963271472863, 927.67771636637281, 928.19294853003419, 928.35902330308761, 928.56067151541617, 928.81371332952074, 929.06868558420854, 929.39083298280548, 929.8715236534232, 932.6291174480084, 932.9335316281489, 933.40292281940492, 934.36332704842209, 936.04710764578488, 937.04712408627336, 938.849477252106, 939.24012860229129, 939.92610553168811, 940.48826733097428, 941.35194234620485, 941.57281202639888, 941.77145677247336, 944.92664753696943, 945.01830034733325, 945.09353510054723, 945.24775882722258, 945.59649926818713, 946.53842409817059, 947.80008491558999, 947.89445923070753, 948.38969787074893, 948.90020906755683, 948.9366359467864, 950.54926308373524, 951.1586895362791, 951.61392324864528, 952.99964900442558, 954.80191804813853, 955.35274608512293, 955.90743316672524, 956.2691405541475, 959.07646778422145, 960.12627174366889, 962.37569912606295, 963.03851995530033, 963.19024059732192, 964.15640451791683, 964.28848332168911, 965.07893146077151, 966.22538322053128, 966.99440048811459, 969.98723880079922, 970.29347455586367, 972.97552110970321, 974.44404984446646, 976.06075870282621, 979.01354166540739, 979.58118553187683, 986.6013579444575, 987.57467290615273, 987.7043307865157, 988.11553343969035, 988.28856212632274, 992.4712821773752, 993.64635660744455, 993.80577084697973, 994.97536746717174, 996.70225459654728, 997.19790353310191, 998.0475291758197, 998.32816216510378, 1000.1207244976708]),array([81.287240618870342, 82.206348903853836, 83.941353475782776, 84.034030744006444, 84.32694783933556, 85.999216386740969, 86.081570350790756, 86.324602853375112, 86.806826844226265, 86.910849378929328, 86.980263480702561, 89.712423001897022, 89.764270185600623, 91.312521204427426, 91.777676112614117, 92.72131670441712, 94.581030486126849, 96.265901957863406, 97.345506634743757, 97.824065042940717, 97.946325391973048, 98.230590998323365, 98.667531611622564, 98.795023842730672, 99.920868383194914, 100.58033456514656, 101.45498772951026, 103.10660152827512, 104.01910634818157, 104.69997184334986, 107.8932352609792, 108.15455804792214, 109.91680280400139, 110.13731359936976, 111.38614309563161, 111.63763841826066, 113.46212580848008, 113.55655580915355, 114.14275497116655, 115.43005925999793, 116.3344023362552, 116.9532726839454, 117.20067782873816, 117.92971306945428, 118.11578654290994, 119.0175534202676, 119.08862580425587, 119.17283663651121, 120.89131546478325, 123.30700994525992, 123.44168419012442, 124.02529046708497, 124.05975157368034, 125.31381903288101, 126.18290583273217, 128.65007802192017, 128.83147156549731, 130.63151885355927, 131.27297244722931, 135.24553702268318, 136.35500923703219, 138.77542314036404, 139.16037370466924, 140.09436037330858, 140.63384468435277, 140.997617966603, 142.39127323122074, 142.82782228559418, 143.36176187746631, 143.99029390187715, 144.95136993075607, 145.65362655078414, 147.97313507864826, 148.5745422473174, 148.76583606118993, 149.21097054932355, 151.38637757700931, 151.43852370964004, 151.52157092383521, 152.41297541939193, 154.60296518673869, 155.22688733277786, 157.5830129165376, 158.23165955703422, 159.18794935648484, 161.73722557715027, 161.78391177332466, 162.13273251675128, 163.78438541078876, 164.26505501090395, 165.21177511555663, 166.26150160766994, 166.30829714658469, 166.41787883217282, 167.60417317582366, 167.75148817954141, 168.2765534051596, 169.12224473489303, 169.92416481298244, 170.91260036098927, 173.77966694323197, 174.7166001819086, 174.74833700590048, 175.2886126516529, 177.21004708142945, 177.3806679596085, 177.56047207125584, 179.10133811461594, 180.93398422318302, 181.87813568264951, 182.94379201263078, 183.41696806185334, 187.04982177123694, 187.90878631447094, 188.09313399656904, 189.7722441856408, 192.15536173983617, 193.3923070859544, 194.11318418347872, 194.14156041752918, 197.01562167285496, 197.92868331755272, 198.71255787043177, 198.97548092496018, 199.85332522730121, 200.47295204369752, 201.97590346528827, 202.27702935854788, 202.66812994464871, 203.61130531828348, 206.46732188364049, 207.81952765336365, 208.31579748375205, 208.354119146648, 210.79479816504519, 211.51489137068387, 211.74870232891323, 212.67827497785552, 213.32951830149082, 214.04213361673388, 215.98068683386433, 216.74528671588897, 217.32715227255764, 217.39274525812252, 217.9500742636038, 218.02504513174057, 218.40095301909366, 219.84982970077661, 219.93519771940734, 220.39912122311975, 220.43028940407308, 220.87097563029141, 220.93863861799343, 221.27806398217069, 221.30770781422061, 221.80797585143017, 223.29354015065272, 224.71933348448837, 224.98164486418116, 225.17687929976969, 225.29877140767542, 225.38136165201192, 225.41520382767604, 225.77831394545899, 226.47537231403365, 226.55204384706695, 226.65940417498379, 226.93045054680331, 227.5737367870511, 227.95962745020572, 230.34773310605269, 230.41512615639539, 230.59742916995009, 231.42736674661009, 231.57875884602652, 232.1499882469501, 232.29905423870647, 235.28393783455925, 235.72323124022327, 237.06888916045321, 238.08144557921509, 239.73730184684334, 239.77039802192138, 240.6177584943193, 241.20601007006033, 241.51917753150698, 242.25639111600785, 244.37823314359295, 245.13236668626169, 246.52874568854662, 247.41139810386582, 250.49947565648864, 251.67619496638713, 257.59942254543955, 258.92074936320586, 259.61511875314125, 261.06856783299492, 263.61866340143064, 265.12834568846699, 267.4451668815575, 270.44127328128752, 271.77393867146816, 273.44250309582907, 274.07912405434536, 274.83879759104894, 276.86527208211629, 276.93982350273245, 277.69537319443651, 279.76938693239191, 280.8439060121288, 280.91851131774763, 281.35236177991379, 281.50142604849799, 281.66571568835917, 282.81049087876926, 282.85349792627267, 283.73798011878193, 284.51626659067182, 284.81928115388666, 285.27368643461068, 285.99570155477875, 286.28642462528387, 287.3376212657015, 288.48648813453889, 289.92305127449032, 290.56568924196313, 290.65449056866794, 290.68966616403924, 292.61730126677674, 292.82717425176463, 294.83877531400083, 295.90363491074385, 296.45313212301471, 297.0628206993664, 297.61629388270575, 298.46508599755566, 298.95267903499666, 299.92157103679295, 301.45222718667634, 304.91867326561885, 305.64033016529987, 305.84336062843852, 307.93994199784493, 308.05155373142208, 309.70787310431609, 309.90703958045867, 310.44443429216523, 310.63114249254789, 311.10339216242767, 312.67563605910959, 313.69047110356001, 313.749626678673, 313.90110309900342, 314.85786153531831, 316.71961836398629, 318.41379596429516, 318.47223030123797, 319.7314698754189, 320.51312340015068, 321.00560982832508, 321.27639458148337, 321.5678650254319, 322.25457686514068, 322.69386612637965, 322.75311763051667, 323.6546156658149, 323.68845082807007, 324.01033165316881, 324.19326994385091, 325.08010259444643, 325.14921494421117, 326.34580678342644, 327.44417779780309, 328.67166078413607, 328.73174643818066, 329.57406061850867, 330.07450190214638, 332.79278783547142, 333.2453791375508, 333.64070458162485, 333.74646783797925, 334.97063722543015, 336.09247948459171, 336.36209600852368, 338.01561291573091, 338.40994389239751, 339.11885589092418, 339.6650291161547, 341.6491086799337, 341.83598508865049, 342.23494974888888, 343.17429549523985, 345.91209079593688, 349.35952852965409, 351.39557426331345, 351.46213258736202, 351.56744283596754, 352.63239422682648, 354.19294517843514, 355.16302712306828, 357.50534938048099, 357.95061876672168, 359.02285588723828, 360.46950667561538, 361.3063414347381, 361.90343030911657, 362.0868289439847, 362.87702343923729, 363.66231594778441, 364.47423859697591, 365.21892629886401, 366.33184629322943, 366.51273988574769, 367.55942242068255, 367.9785272284409, 368.62128839999679, 368.92693331743243, 369.610878011316, 371.76513718707668, 371.89051659493003, 371.9733983589303, 372.13438147887069, 373.46655335299778, 373.51271177390561, 373.70321770980269, 374.02207230493195, 375.33618336848969, 375.72930177872041, 376.55927653539436, 378.68977202627656, 380.11440833409165, 380.33834174853979, 382.63398658504434, 382.89636796093106, 383.45950582179813, 387.2792774157453, 389.05341681954519, 389.10915467355085, 389.2024265553141, 390.90526729938199, 392.00878997200465, 392.47312056158955, 396.55796273938552, 397.46265366701738, 397.56784678029425, 398.24497760042561, 398.39145457382398, 399.2344894850271, 399.64694542669503, 399.8202770317821, 400.38900111205652, 403.55268751160611, 403.58382614588197, 403.62516089611336, 405.66064681037426, 406.24679239033355, 408.40942078580878, 408.7167648775831, 408.85286939702684, 409.4056339656932, 411.74133413278747, 413.83642189030473, 414.16330068983802, 414.48357816592858, 415.84158507016707, 416.88836213086222, 419.49013141545953, 420.29426621529643, 420.95978224561702, 421.12980451140305, 422.90373200760087, 423.04108650027734, 423.61156754951054, 425.98775155832215, 426.28751434597336, 426.85188763383712, 427.33141577556603, 428.3717317513719, 428.78462299998102, 429.44879397190266, 430.27998212183905, 430.77700298248919, 430.93171535528683, 431.44869120160382, 433.16369788998207, 433.22194998230725, 435.3670094866834, 437.82315869734504, 439.44799494436921, 442.15171512831176, 443.7739234288851, 444.08970455415584, 445.41375410465855, 445.98864137284687, 448.29136217272287, 449.63028599695843, 454.94202715353896, 455.43698995349797, 456.29548504162915, 457.49822684751098, 457.8209775765435, 457.89944325603091, 458.12341486247635, 460.88137659365674, 460.90393552340186, 462.41052860906353, 462.84883109363665, 464.90906272662903, 464.9513141750183, 465.10222382429953, 465.48340329517066, 466.44913582744726, 467.05309844736911, 467.1252660915726, 467.75306823848086, 471.77278258168371, 473.46894328920121, 474.38296510233016, 474.655517716227, 474.89188422628848, 475.37733889680078, 475.82824708477824, 476.68480936954677, 476.89240233819601, 477.20841514413695, 477.40513760291572, 479.37224428343399, 480.17232020596003, 480.22323655904808, 481.08036368580144, 481.12267883458685, 483.18874771115969, 483.40352795233463, 484.13548507206212, 485.40823791095335, 488.11933502853719, 488.73105194963273, 488.9181090121744, 489.20057692469601, 489.96260599825206, 490.16819841612983, 492.77221746666811, 495.45695694970033, 495.57605108660982, 495.66275040135099, 497.55482682159493, 499.29369403240833, 499.33526677615566, 500.72163909143183, 501.44268423767096, 506.73310550127809, 507.46790502296989, 508.13618610724785, 508.71227231859751, 509.15261684914884, 510.05001745659058, 511.02189974456991, 511.25627757151608, 511.93143704517172, 513.6766545724098, 514.14484502718119, 515.35209762960517, 515.62184071570448, 516.26903640818352, 517.96612339781916, 517.99044011384728, 518.51887137396102, 520.62462445544929, 520.72880763525757, 521.07624371883139, 521.62362430164501, 522.51129819425125, 522.59218516721091, 522.67918788121028, 525.15524681872535, 525.62132452627486, 527.07463727239315, 527.63279367924997, 527.83110202031412, 529.75335681045613, 530.53819293527692, 532.35226605022206, 532.86169236929209, 534.16298417736164, 534.81554846488859, 536.24354352775185, 536.77711329734427, 536.93954036729895, 537.52659544774701, 537.9083587694978, 539.13049107118309, 539.46966724125139, 540.88615633496897, 541.16607533225601, 541.66113995463832, 541.70701756410779, 542.07399840087601, 542.40890243618719, 544.86369977350216, 545.65228017509412, 545.86775773953332, 547.80509360579345, 547.91736189355174, 548.31692175413764, 548.90654028423216, 549.09027644255775, 549.51103815947056, 549.56801708436274, 553.43208555376862, 554.36147022641342, 554.57057495649087, 554.78543862417348, 556.64620275079267, 559.23983239251504, 561.7204037254694, 563.59334500760849, 563.75284818514456, 563.93547349445407, 564.23376749637418, 564.5004650384559, 567.08689130814776, 567.3091343691209, 567.40777885053456, 567.45412806425327, 567.57027761556685, 567.83116822839156, 569.673647198347, 570.72931038183151, 570.75393504612748, 570.93836821148375, 570.97880281793766, 571.60634979163217, 572.54270682846823, 573.31647450419916, 574.34670279968441, 574.90250374293021, 575.0326561479244, 576.40735659307268, 576.56857755718738, 578.18739734133771, 578.74511182364006, 580.21687854027937, 581.86463858092191, 582.87621424798476, 583.15450611946005, 585.52797075795331, 585.96892454534043, 589.61620417588983, 589.76928082240204, 591.8413014938842, 593.85071551165356, 596.68081492962085, 597.78387359672979, 598.62479515848156, 598.83105123470943, 599.18837893739442, 600.39239085206725, 600.59548237555259, 601.77256535642061, 603.72561538278399, 605.40340052772308, 606.28824203431691, 607.46383079793668, 608.6276556989493, 609.00094683269458, 609.15936955853397, 610.28742800119346, 612.05313804599768, 613.06933929955051, 613.15274444705199, 613.17598612163602, 613.9303139120957, 616.93834393288557, 617.03416800584694, 618.32685796427654, 620.1261534062844, 621.45063874766299, 623.79596161182019, 623.88099716960016, 624.91021835303297, 625.07719239358164, 625.75428785154213, 626.05101801026251, 626.49780119076013, 628.47393581138203, 629.54786015814818, 631.84733803944926, 632.11964749406502, 632.75618756322092, 633.59821953053938, 634.08689592884605, 635.21567610593172, 637.21629908574164, 637.43728777980255, 639.25315999613099, 640.39161560348168, 643.16228114627722, 643.7306773371663, 644.72535128508616, 647.24492033161459, 649.74490505926133, 650.60099550819439, 650.92865473782967, 651.13805180912027, 652.58867073180136, 652.68241999490942, 653.22435333997362, 653.68414513581922, 653.89723472515948, 654.80693228504936, 655.02008052485951, 655.15547679430301, 655.1863559114687, 655.36425802078304, 656.95947982693815, 658.16922993929984, 658.65078696412843, 658.71897893124867, 660.36397324514508, 660.74323329101935, 660.77959774262649, 661.34419334563984, 661.84655683670519, 664.32513861191671, 665.28929201483379, 670.27084386859713, 670.3816632397677, 670.65450826835377, 670.76546168815639, 671.96560931127749, 672.3991543395739, 672.8550441866854, 673.39192857453691, 675.07841855937659, 677.83074542738916, 678.40176839768765, 679.1558232324935, 679.4760319773618, 683.18829287519804, 683.30415421632745, 684.0252849702, 685.04315830316409, 686.13381337284136, 687.85291568930859, 694.16533796623708, 694.35477375281619, 695.2888191652429, 696.07747142884068, 698.67348709255748, 698.83066131025032, 700.97395670589322, 701.94400174667362, 702.24847378807749, 702.43783807841203, 703.43770441808908, 703.88144199650878, 703.95412493035656, 705.24721444364548, 705.60169180879802, 707.41441406922206, 708.56280919916696, 710.81000129769689, 711.33413515462007, 711.49234119113578, 713.32381807761476, 715.8537984041717, 716.34182452256232, 716.64645762585894, 716.68392212162075, 717.31047295546045, 719.59080579982526, 720.438461216012, 720.46638962885106, 722.38514819093825, 723.12565311939204, 723.21796092065972, 724.29776900903676, 725.17859653341702, 725.34239782364989, 725.76873844128215, 726.29286155964246, 726.83369696101943, 728.4837431161352, 729.10509339106375, 729.74844689625775, 729.88446704672583, 731.32674472518011, 731.34819927250669, 731.98760571687183, 732.16337112806161, 732.47339756132214, 732.82611834985835, 734.69329480317083, 735.37388988071928, 736.20766252897192, 738.70225522418855, 740.2644302396377, 740.72444821929673, 741.51418658568514, 742.19466990906403, 744.90843430579628, 746.8109078929773, 747.78037791782549, 747.86021534916063, 748.60851819329662, 749.17532377486373, 749.28437980428509, 749.44175789099438, 749.53615375095706, 750.74799979333056, 753.87891869446412, 754.22762597984354, 755.57150491958635, 755.59588701589621, 761.33527315545803, 761.48866408686752, 761.83778637421358, 765.79810547914758, 767.53024423442412, 768.26425998602372, 769.87278366691885, 772.19691561525838, 772.67081315812743, 773.32075497723326, 773.8865675557812, 775.43153291541751, 776.65528545234417, 777.3311971725517, 777.48231434059835, 777.75518097909162, 779.39308481380249, 779.60140319816662, 781.2121646713349, 784.62828991372191, 785.1892117002908, 785.72821322267453, 786.5200247362211, 787.10774724880775, 788.25533914275377, 788.54568628634979, 788.72927649010944, 791.94162917917788, 792.10963059211451, 794.3626329659628, 794.78045411152334, 794.84722742342501, 795.45417341450843, 798.0700587982019, 798.43995002072222, 798.62006496323249, 798.65253233128658, 799.94286004752712, 800.70588711401888, 801.26533673760662, 804.21976320664169, 804.95689566621843, 808.59134720554607, 810.48948016331292, 811.04865014375684, 811.16578271445053, 811.53248624761625, 811.62965046415638, 811.66013846410942, 815.26735568707022, 815.86513143224613, 817.84461822698722, 819.70552903086184, 820.14457204429493, 820.48129867093542, 821.35139593202382, 822.56363960232682, 823.71996762938261, 824.94930570097472, 825.40146972843445, 831.94018174188398, 832.70778392341163, 834.24135760782633, 834.49123780876937, 834.92021120349455, 837.75271451136916, 839.70822036708637, 842.71721656528769, 843.48746676859605, 843.65136628255163, 843.81502917762737, 843.90140490982071, 844.81831063419361, 847.63234192851849, 848.347662257249, 851.50567299850911, 852.83034331921704, 853.18708378957911, 854.13592784812465, 855.17843790797963, 855.30643956698179, 855.41895433660841, 857.73134172618427, 860.07555669186638, 860.94250101097953, 862.82975717608576, 863.05277668720737, 863.08535408412854, 863.6577992823369, 864.43856987162997, 864.51982141212648, 865.42334268916886, 865.55319789833368, 866.4279076412339, 869.11597555328888, 869.30451245583458, 870.16460217177837, 871.53686825018247, 871.76431431821766, 872.63696944309106, 872.92840005167784, 874.94021836049137, 876.80517294550498, 876.98579628642563, 877.15349713899604, 877.72790020443176, 879.14265296155247, 880.17080206669311, 881.30185507705392, 882.70085459860479, 883.4593054511347, 884.45632828942291, 885.24071088575431, 885.70214524932851, 886.212437301048, 887.61372914275137, 888.69236298718079, 890.43758147310041, 891.020778925439, 891.94359464086756, 892.14134412453848, 893.72911232287493, 894.30065561836943, 895.59468597450166, 895.78500359072063, 898.10472583903936, 899.71248399049773, 900.57481661748545, 901.25159733767805, 902.43165180046662, 903.67219363525965, 903.92473035392175, 905.37918753151837, 906.75589245304911, 907.4481143650612, 909.54385514383819, 909.97010525740632, 910.47241130926602, 911.18831283131033, 912.22239110527721, 912.52605166261355, 913.11014783281166, 914.2582888939429, 914.74325430408226, 914.78688268098233, 916.40037531927283, 916.66253600868936, 917.132994834069, 918.38067353761949, 919.31035155852578, 920.62723488577274, 920.88499405985567, 922.67113546489725, 923.3119185511631, 923.96358941297149, 925.99525477523116, 927.11705541646506, 927.40042672008462, 929.10325011207544, 929.99765253186865, 930.76246549752989, 932.36467148494262, 933.48566371869913, 934.25512597270153, 934.28727316374818, 935.11794939417427, 935.63080223275324, 939.07693647968392, 939.42837152276604, 940.30327192177219, 940.34227258950989, 942.44479890481591, 943.18617942412095, 943.32925301471812, 944.7480330162939, 944.94090852446493, 945.1739846637663, 945.6212590939748, 945.66236802955996, 946.80798774564835, 948.36699795390109, 951.41967531407579, 951.55112695392654, 951.65790721338442, 953.0955515028586, 954.02381227477338, 954.82363558888346, 958.8248597895664, 959.46132591217645, 960.72710023523996, 963.4371436655855, 963.86184864739289, 964.78830836070085, 966.16541996810781, 966.85444082817276, 968.57323747860175, 968.6657329463817, 968.8950386528054, 970.17202118594184, 970.25118678125705, 971.10162084157264, 971.80463592653746, 973.59186276992489, 973.62394303658766, 974.53673288428672, 979.3861485223614, 980.20422727453445, 981.3601478447921, 981.76669142994308, 982.34094600153458, 983.79690101352094, 984.19913763881345, 985.16012479778294, 986.51747363449056, 986.91413412495444, 987.43699252513716, 987.8726786281153, 989.06135090562964, 991.32886194687251, 991.68052239774875, 992.00190887864915, 994.71799833060095, 994.87527652504536, 997.15965782854437, 997.33315086639982, 997.66472275001433, 998.08906073307901, 998.14239327712301, 1000.0259548478264]),array([30.056987318171014, 31.127081474008239, 31.475313660053818, 31.913238901289851, 32.12631895155495, 32.681083626066723, 33.458147470759052, 33.953682850560455, 35.23096791051131, 43.222456371026446, 44.678192461103102, 46.423888921685325, 46.748030635062541, 47.944235559418388, 50.275833884160434, 50.343591086351921, 50.380156277366702, 51.705147960614752, 52.308504188167014, 52.673674646015513, 56.302689341437663, 56.623359792900679, 57.066548497082735, 57.968429193651374, 58.098739586939502, 58.214514715264045, 58.377979817161012, 58.673086344846894, 58.819882095287937, 59.098867925648989, 59.79623910234131, 60.965654047005756, 61.042960709388197, 62.11139633814939, 63.762226627541757, 64.41341991693433, 65.311235907240814, 66.535866780318955, 68.032271876527929, 68.423545599723212, 69.027036081655865, 71.108634261569563, 71.490581782499618, 74.585808678766242, 75.433735470030214, 75.625716629930622, 75.669361360577099, 77.115199330972402, 78.066132305606203, 78.646956304430262, 80.134186394694851, 82.622287849705685, 84.1259018023826, 84.613534711092115, 86.998237572986369, 89.487104241515269, 89.977498032282426, 90.421040601676495, 91.257960364855407, 91.904265526958199, 93.151620349894074, 94.210142368977699, 95.861553699087736, 96.263536120454376, 96.691784111164807, 99.394992932835024, 100.02545603151778, 100.47107235574107, 101.52535408550652, 101.94570813255146, 102.2500892946896, 102.44909000877502, 104.80457093351195, 104.85715441482409, 105.94218002726164, 109.89687279947947, 110.7472894333734, 111.50729626491147, 111.83790189289789, 114.93249378538871, 115.85926608600279, 116.01896021188595, 116.09093160068156, 120.88845252247404, 122.83499448798676, 123.88044468434201, 124.21265980770531, 124.61149333638474, 125.91280903012789, 126.8969976117661, 128.21159060040861, 130.97909333871698, 132.05170956034374, 132.8973359809948, 135.77268085249591, 135.95539772723995, 135.99642348839336, 137.01924952423587, 137.15957991587456, 138.87681403284128, 139.33434441486216, 141.42235015568869, 141.6334461952724, 142.25845293555969, 143.41635354725875, 144.73724012031386, 144.9197776696443, 145.57367213380118, 145.93906772663672, 146.04111004341561, 147.32317406785205, 148.80984899005193, 149.39150191344373, 151.75451141523152, 151.87983868284422, 154.31350541634004, 154.72838738119873, 155.80422678245887, 155.95072404360806, 158.2213500787941, 161.57002757896214, 161.8564549822716, 162.1471460323923, 163.10310921866986, 165.10200527491898, 165.15887857874503, 168.17440515905605, 168.86409831913153, 170.6006996968008, 171.22378483942995, 171.79372819281153, 172.69180274338709, 172.85233653433843, 173.90890553480961, 173.94747264606534, 174.4844070374665, 175.31661760160722, 177.25643149483753, 178.11131305238877, 182.15914179489843, 182.38285310669923, 183.06407101738571, 183.87460952058237, 184.27310506767381, 186.33338283575, 191.02678569225719, 193.9110793573451, 194.47672948606359, 195.6761099824389, 195.88800118182834, 196.13109910581727, 198.911825343321, 199.27521803030649, 199.71894184031819, 200.00179128617415, 201.14749951495574, 202.38226899209135, 202.96763892683529, 203.81925500740851, 205.21397249063719, 206.33142323689864, 206.85618549317124, 207.50928874108121, 207.85211505277107, 210.09992572433168, 212.10406228104151, 212.43186193050178, 212.529182059622, 213.10783936402825, 213.71051992029294, 214.7531556933202, 215.62061334647177, 215.78949583042854, 217.81863025128152, 219.1298806161075, 220.35374992693761, 220.77900368428618, 221.73784780987083, 224.52208597392857, 224.68962407277721, 225.28228428789478, 225.77360492252595, 225.83411223127217, 226.29325553596343, 227.70547294786735, 232.1909975873763, 234.39698848262907, 234.68327565051567, 238.49601806818703, 239.29821511485702, 240.32033278759144, 240.98459181527832, 241.9691730407657, 243.92029697244411, 245.18067118634133, 246.92323620854364, 247.10266120067425, 247.12844342166554, 248.07818085664772, 250.35345143560662, 251.23847820583183, 251.4238523117333, 252.41821613184825, 254.79598159543437, 256.40714189240526, 258.96791999303571, 259.79323856581914, 261.84931209150022, 262.84215723580962, 264.08365962285967, 265.8113068705394, 266.02174253259926, 266.41241346680727, 268.37658939271631, 270.62448974436569, 270.70602200248931, 272.01239596243659, 275.06534763252654, 277.14037924187181, 277.20026308741194, 278.04759668629589, 279.10877464796914, 280.59193966588271, 282.00366445681658, 282.35979801850959, 282.4478820647617, 282.77215307807967, 283.21837939561908, 284.21392430338165, 284.41146416130073, 284.677251316173, 284.88073876506047, 285.44180046612263, 285.94449575875728, 287.05544900506095, 288.46948572112507, 288.62352687643022, 288.90994935549713, 290.15454950857571, 290.55698285037158, 290.97627568857575, 291.14315326026764, 293.02816362241083, 294.20392973524855, 296.04534956350392, 297.23921765767938, 298.52607984559808, 298.72610900159344, 299.26331687161098, 301.20730134193525, 305.09994667730763, 306.69128393370698, 309.20397763428605, 309.74591648424104, 309.80204548783814, 311.45677893586549, 312.85145712411793, 312.91369546199525, 313.09448462815442, 313.86813872600379, 314.44697418290986, 315.50262236944678, 315.91295024294584, 316.3769492352817, 316.84347901846422, 316.87309946256136, 316.91183389146897, 316.97584464079682, 319.09351225835752, 319.57313806443415, 320.33184455678401, 323.6460424826908, 323.81396587265584, 324.19389856362505, 325.57428936398821, 325.76544543015825, 325.8833085259003, 328.63800400491283, 329.04591135616323, 329.69236483151451, 331.37026414426691, 333.11680888368852, 333.22129849011367, 333.65344519706383, 334.32429065783344, 336.36496749077907, 337.74232580351782, 338.46684355098836, 338.71145169106012, 338.75776076349467, 339.97047665370695, 341.06933295744699, 341.95767949413397, 342.28634719383217, 342.7200682271565, 345.33412910737985, 346.52801564801996, 346.95962881859435, 347.12212061333605, 347.27092077535639, 347.44877688552623, 348.15107761602991, 348.5035835084015, 349.42458850460406, 349.50229960853488, 349.74749663026421, 349.79714461085092, 350.16037917272723, 350.21799012353961, 351.24343123016251, 354.39695357962319, 356.4937032601743, 358.54432821116802, 360.00204224035679, 360.95274169347141, 361.70776361005488, 362.08393920637042, 363.3961054585057, 365.93657687496693, 366.94559817991814, 367.96587108222616, 368.33361314047386, 368.54846362673948, 369.34922656415392, 370.98581232200769, 371.30827853461966, 371.60201706108529, 372.24228301658729, 373.86554452752875, 374.0614007948393, 374.09419136779314, 374.20186424552026, 375.30165226207203, 375.94288924093155, 377.27415525716191, 378.72493615426498, 379.9994666656072, 380.58392503301343, 381.20337465475109, 385.52868170738338, 385.7869280716115, 385.89569703667627, 387.66220810129323, 387.71174253012947, 387.73967249858214, 389.00798644471024, 389.80238346477711, 390.75797365553865, 391.41878300670544, 392.25775888546411, 395.74915841946432, 398.46749990688096, 400.3805442191906, 402.79598458058297, 403.36649127989585, 403.42681176155224, 403.95535649091562, 404.37817992930934, 405.28784260076907, 405.57524944818721, 406.46088371722635, 409.04140660558653, 410.22427730206135, 410.43099784955996, 412.29095791428676, 415.36292645889051, 416.09317648849725, 416.23513904228224, 417.10595114827112, 417.75885376570284, 418.2060139384422, 421.91887317033155, 423.41739699847574, 423.80557224391742, 427.78198143244958, 429.08256064064079, 429.68429827001194, 430.56395059036521, 431.09889692512729, 431.88180281541082, 432.04808803281605, 432.19600217674855, 435.06994828372962, 435.77971757260502, 435.89140505409932, 437.13336733291163, 438.86781486710868, 442.35362808146044, 442.5473682992594, 446.43360888822463, 448.93796266885317, 449.48697210649743, 452.5299682124699, 452.94518845897625, 453.16479027504727, 454.08657084249865, 454.4925422434913, 455.11763047958425, 455.23624401000689, 455.5831172669694, 456.34997686949754, 457.0683511868877, 457.16432428226432, 457.55863776926969, 457.7825375716568, 460.64457676230376, 461.77405053076802, 462.31819171547886, 463.09097532781004, 463.39143397530381, 465.06185240871929, 465.99844004544019, 467.20919952337914, 468.31782339504019, 469.22615915403071, 470.25783126444583, 472.73465623280907, 473.90094571705839, 475.89381795359458, 476.58539781126603, 476.83822834152699, 478.64998727735923, 478.91962510913299, 481.24396358524785, 481.2974298581712, 483.22631434598685, 485.6272569532772, 485.94158127613451, 486.61262390991635, 486.77188834170022, 487.63204138441148, 487.88935694725205, 488.14730129729293, 488.28177854921501, 489.14073707110072, 489.40698886315022, 490.24230449253514, 490.48513697519064, 490.77730000388999, 490.99245916356097, 491.84689958715177, 492.74374965728782, 494.53782851077261, 494.86369816610414, 495.26129684957016, 495.98748853072493, 496.26725347440953, 498.50821970997652, 499.60221405291946, 499.92081548861171, 501.16263464936895, 501.18745955646165, 502.42904582281579, 505.7279213422953, 507.10378474180243, 507.88869952943588, 508.45265452306381, 509.04296765543694, 509.38703388513426, 511.58579798366526, 512.30808255380271, 515.98062711681405, 517.75543493979717, 518.00494653515602, 521.13982339848144, 523.20175220539966, 524.08867990968452, 524.31543990160458, 524.90018032837429, 525.91080350617892, 526.29378718583337, 528.63537390324234, 531.12582345848318, 531.80707858405469, 531.87271644482053, 532.06789112724664, 535.88329090606157, 536.46353132331353, 537.05514503804818, 537.59863510830905, 537.9578093281732, 539.10762564240656, 539.98310931481046, 541.57934926718883, 544.42416760593221, 544.69701597077096, 545.83746663838974, 546.03213554815659, 546.26175778323341, 546.35027655249121, 548.60058072148513, 548.73232494362173, 548.99668448881221, 550.05807955865362, 551.08183672529265, 551.26718614990784, 552.79006410678642, 553.89224781376731, 554.20645021053519, 555.44671020242777, 555.80064860981895, 555.87924420125114, 556.64591061834813, 556.90701000142781, 557.27092478227121, 558.6614798692666, 559.31717841892851, 559.42424424167098, 565.1365365669144, 566.0010628672859, 566.72635963141977, 567.1384575199487, 568.59643993629379, 569.17211393695277, 569.21171984726061, 570.33934901831935, 571.56798365624741, 571.61147919779523, 572.60637658701762, 574.59049802078221, 575.95491252454303, 577.27190959215886, 578.08190213451644, 579.0928691070535, 580.54753826802471, 581.2300639174714, 582.60617176955395, 583.45520785536155, 584.76810766753192, 585.22360805476853, 586.11653856834153, 586.64076818875981, 586.82898452652125, 587.23279259237177, 588.60569861345323, 589.25490807090728, 589.59897414050431, 590.02446190644594, 592.14353724012994, 592.94185636057819, 593.15679924020367, 593.23401938815164, 594.92739744914434, 596.61990236831241, 598.2477694190876, 604.81864606089084, 606.19988637421864, 607.24932686216152, 608.5261655468521, 609.9422716519814, 612.55511639296265, 613.88762150068158, 614.15987760177666, 614.56344261231288, 615.07468293702527, 615.22688902522009, 618.81607647881413, 620.05084984630662, 621.48133253062792, 621.51663301324038, 621.8945904274027, 622.70356751153861, 622.75903309408216, 625.37747926153315, 625.79577119056989, 627.3038459526515, 627.6639223784382, 627.87096175209501, 628.8233887463864, 629.62827285918445, 633.02265365208268, 633.19172971095156, 633.73690785252211, 636.03179964190315, 637.65282660753758, 638.17143847762145, 639.77524530443509, 641.08623718586887, 641.77947013330015, 642.41294274405175, 642.80339270651655, 643.01948077275063, 643.06969118187931, 646.14438727786796, 646.19430612090048, 648.1587202775504, 648.32389953277254, 649.74930907238468, 653.1575121888975, 654.02658583446407, 655.1311257203929, 655.33490790362032, 656.78112264525839, 657.25291245156302, 658.21521991023474, 658.70550119338395, 658.93938380702161, 659.41965007448516, 659.48543870193282, 659.70641830888258, 659.7389910105253, 660.63385507831777, 661.83470636582467, 662.17260432768683, 664.15746024810517, 667.36300951789985, 667.38735519654892, 667.94115210445159, 668.81659536884331, 670.01926646149741, 671.77382679777145, 673.93455957159472, 674.88189145093997, 675.21018350958025, 675.94976080521724, 676.27843894232922, 676.77380326193554, 677.32497893753248, 677.80150688637502, 682.83474102982757, 683.6045236085032, 685.34401605637572, 686.52597346134166, 688.50995175099035, 689.38030132285712, 691.21742019002397, 691.34393040230395, 694.18235557801995, 694.32072406069233, 694.34917339069568, 695.3656134457442, 696.42802773070389, 696.4654742076192, 696.91250827550846, 698.05059094116916, 698.19772285610713, 698.60928877535434, 700.01792278744028, 700.05676609020452, 702.59176601085471, 704.11363705052759, 706.68907347894583, 711.08543419741136, 711.87575862931988, 712.1394609069971, 712.19590191664486, 713.93035104926969, 714.8371327132943, 715.83812301339537, 716.39730684826225, 716.99731723423997, 718.60096279849381, 718.66955741565232, 718.74578460123814, 719.14435267936506, 721.41089085184262, 722.10447761967669, 722.45330557851378, 722.52632951373073, 724.40470387490848, 725.49241268304718, 725.87790528432993, 726.41847201013422, 726.54016125699127, 727.45306920923701, 727.88386735479151, 728.19473774260655, 729.09490682463331, 730.28650969843375, 730.9336266194332, 731.26608573014255, 731.36684953767167, 732.25238853306939, 732.47864699634465, 732.58600685179886, 732.81217866482564, 733.81216658755295, 737.18086144637937, 738.34321190995126, 741.40646202583821, 742.40879196408696, 743.3330349763005, 743.37187613655442, 743.76559178757122, 743.82216922459554, 745.07775189529741, 746.87778933937568, 748.06724106320951, 748.89090701639589, 750.57288729651054, 751.26255789995309, 751.35161413744584, 751.94116607305966, 752.77103429582803, 753.5828769031807, 753.71288759077845, 754.01014936892898, 754.34115046582372, 754.87661263277823, 760.81995930837888, 762.0387191909175, 764.53652599138843, 766.53400394732193, 771.46183214145481, 773.98552677267162, 774.50114069705467, 775.75350188223956, 776.75498396173452, 776.82795875482032, 776.85551787295537, 776.88981820035053, 778.56054879099008, 784.03053551050357, 787.35023440196369, 787.58005805349887, 789.1230426376535, 792.29224456086899, 792.32827007276626, 792.37012794412271, 795.68997179860412, 796.01150119087833, 797.0598411867802, 797.17457975766297, 797.907123074212, 798.64447152245816, 798.92541093705984, 799.38181662417526, 799.60081254615375, 802.07436276710143, 802.38812644806842, 802.85150167514416, 803.00642187893925, 804.35553796482679, 804.39996636089313, 805.83149392761084, 806.71552728081883, 808.58878648138466, 811.64205091309259, 811.66307555880212, 813.0578849071145, 813.25995546441663, 813.81095799644129, 815.90629162377229, 817.08269018639953, 819.90106220704138, 820.809656443672, 820.89435759718151, 821.77364670337749, 822.52518589088277, 823.51752726306938, 824.09212291357881, 824.24395152008071, 825.64480248094947, 826.45018959568324, 827.00174539048157, 827.40021297712292, 827.46314670101469, 827.63456328913344, 828.2660567138247, 828.71866201411842, 831.00958713620196, 832.6176540091742, 833.69609949674725, 834.66049917300688, 835.5485823855978, 836.13086366274365, 836.54110695592374, 836.68640617300002, 837.83634681444596, 839.11789940356289, 845.80831502381614, 846.00778854989767, 846.23634330021957, 846.49070982561489, 847.21296651013824, 847.40750254501449, 847.60294876560067, 848.02335306453062, 849.54382741416703, 851.69888757031254, 851.94002523601546, 852.05602243707892, 853.21741613387826, 858.68648091660202, 859.52274122922108, 860.92803188760183, 861.26665008009263, 862.06446949040549, 863.98297929402213, 865.35935614599907, 865.90999356000236, 866.19590254250056, 866.80510942302158, 867.11517432986238, 867.25559438725452, 868.13625410702105, 868.74274130766651, 870.33214443260647, 870.58923320870679, 871.46139058699339, 872.11902408904939, 872.58533589337242, 872.73121822335042, 873.81409622016736, 873.95292758080484, 875.22778973892991, 876.44530283792653, 877.47216197920602, 878.50747865574101, 879.34159997972461, 879.74676747997546, 880.50719194068063, 881.33912523989977, 883.29716965126318, 883.49865958199211, 883.80311911340539, 884.10114640270194, 885.24045407370988, 885.79813616190063, 886.97013869298439, 887.80854947401917, 891.52823831744695, 892.59486336608006, 892.65429724816374, 893.3315060561265, 894.19047420831419, 894.41585598291022, 898.02248597627386, 900.19796137000844, 901.86265327526223, 903.41917786466399, 904.485835235845, 904.66466822229097, 905.59172371610475, 905.72117746112269, 906.12063135722713, 911.60104030745447, 911.79765303908368, 912.30448065045971, 912.49192206110536, 913.28367250648466, 913.61622935594255, 913.86452395947902, 914.19421541771987, 914.28057427911517, 915.05549213373547, 915.64817246215978, 915.8248471636557, 915.87967620306483, 917.89702862521699, 918.25128123390073, 918.61960764405694, 919.7420236739498, 920.43175253488982, 920.97781194552385, 921.47084615086681, 921.64319461068021, 922.30808137513839, 922.45955329350795, 924.2154643828294, 924.50643967899794, 924.81656248692593, 926.57531888486096, 927.26246368888064, 927.58450595511533, 927.84893209530685, 933.23535900581737, 933.60792515312835, 933.80605653756152, 933.96768694664672, 935.43745854814256, 936.24890886348851, 938.58992100648334, 939.79358366637337, 943.36304305339115, 945.11352795841685, 947.57509107032672, 947.63109487685301, 948.25613688656608, 948.41727148962184, 951.42453016603918, 952.59742922197131, 953.30512398121039, 953.58489431303121, 953.71768419083048, 953.83823075758744, 955.05256007857815, 955.24937326972145, 956.09156399855931, 956.31913142157282, 957.95020906437958, 959.31043210635517, 960.17063370893754, 962.43148916726511, 963.62243017125354, 964.45960408953783, 964.83630175748544, 965.07400592661702, 965.79805000853924, 968.05366362421012, 969.00192087031724, 969.88098417123399, 972.44877677496072, 972.59009546795642, 972.93684139731988, 975.38424913553695, 977.58574272535327, 978.46935501993744, 980.49936674885862, 980.69489571039935, 981.23811349096115, 981.98971341319123, 982.92625809097103, 984.21276050177755, 986.7072538404168, 987.7194144711932, 990.01393648967155, 994.45713244007993, 994.8853320539373, 996.10943723317359, 996.69503931207373, 997.2911793287343, 997.61547332918724, 998.90870769151013, 999.22322215205008, 1001.2689138643277]),array([40.814157941146178, 41.604598035048291, 43.005065752390301, 43.36584921735647, 45.405660612461702, 46.348794484643577, 46.875680691661408, 48.162616293488384, 50.109407776911731, 50.368772711169328, 51.077347060102262, 51.144312098372552, 51.90148334545016, 52.59398589903784, 53.473152855370557, 54.814445329496515, 55.896868924443964, 56.776841599501033, 56.936490042950602, 57.532903930837676, 59.018699160167564, 59.388803264482569, 59.99735194786917, 61.310122885746203, 62.64492390207522, 64.914705052512502, 66.035967738005453, 66.209100827334922, 66.239349458537475, 67.559709202134584, 70.57952877514046, 70.694660968109488, 72.841738547033728, 73.414484494345317, 74.447116235634184, 74.544187952241444, 75.265219614468407, 75.823084389562396, 76.418012281056136, 77.080510301543683, 77.117582663231417, 77.162714490534498, 77.495699624768818, 77.833146848942832, 77.91573749916094, 78.355986915814185, 78.749668105656838, 79.694351069662005, 83.597024877648238, 83.804539559425521, 85.247520419352483, 86.236054261753196, 86.566670674997795, 86.640417917807341, 88.084325663198172, 89.52592319985861, 90.220455170606698, 90.72040356399998, 93.659040746904878, 94.415566701429327, 95.116184147617403, 96.526200698346798, 96.599304990760146, 96.793535698748499, 97.789773678820126, 98.232940310891891, 98.439602964829618, 98.746937960110472, 99.053125448361385, 100.51598327538829, 100.65081611647859, 103.92221810403105, 105.26180476485123, 106.54225271036198, 106.77345460613958, 107.63987384864333, 108.72378096268756, 109.12983490154345, 109.46597758128409, 112.8724104744517, 113.7087225912498, 116.11045918279196, 116.32451808156002, 116.71909665596219, 117.32946182132029, 117.90000505765759, 118.02352027908159, 118.15335640462467, 118.51659661695942, 118.66397681647254, 119.80231224295059, 120.14695679521135, 121.64383613975501, 122.24196604017607, 122.52429128982769, 123.35767941152569, 124.98628348376751, 126.27344763213898, 126.87397656602261, 128.48356092439519, 128.60616898385879, 129.00508351209479, 130.85979279579701, 131.55931787623797, 134.68030393558843, 138.75023725323075, 139.44911218521074, 139.77044395157219, 141.54611177105195, 141.61393307299727, 143.98336688822931, 144.45612818439596, 144.64969670344234, 144.72094459874057, 145.21011678802535, 145.88519401511073, 147.06525411030026, 148.29042472100275, 148.5314821274747, 150.26407612051329, 151.03247763695325, 151.16475213370973, 152.18714264854449, 152.60923909256766, 152.82886778935577, 153.7237147333872, 154.89607647085592, 156.5276724394752, 158.36702036968546, 158.49396536256921, 159.49572320743701, 160.36743070008296, 160.54672211163899, 161.48279649854757, 161.63571426315286, 162.90369892822372, 163.81500847928916, 165.57777440680934, 165.73183984512295, 165.95729246754843, 166.0039107127387, 166.56776830872062, 167.22310080620582, 175.2169597897699, 175.83514678888557, 179.24190747823309, 183.75517185515105, 183.96290567742355, 184.48131203972565, 185.07618422088555, 186.78176495439726, 186.805924474352, 187.24812073320192, 189.81011312898357, 189.87048456896153, 190.70624317108863, 191.14005926897872, 192.71765351763992, 193.17486297915224, 194.43867988889335, 196.72575680832213, 197.06585614808336, 200.79878424513049, 200.92818850857424, 200.97557976191067, 201.28284132169134, 201.8559510547673, 203.83374310040034, 204.54797405944777, 204.98358323560154, 205.10452708173577, 206.54410771329827, 207.42693703606437, 208.53002773324496, 209.25916290995534, 209.35993091204816, 213.10098781325141, 214.26404335119284, 214.97305920545389, 215.79522569547834, 216.75443391895172, 217.24030913726486, 217.73316282493926, 218.1538645284032, 218.21277920286934, 219.03798521494787, 219.39370424978935, 219.66013203259712, 221.4375897873386, 222.23177753131455, 223.6213098604714, 223.86556474964948, 224.12349615843004, 224.76071062287468, 225.45345252232633, 227.15662976959612, 229.29363749657247, 229.35181127708495, 230.11455023177345, 230.53457222947796, 230.63336364382167, 230.93840499553778, 231.4768542592947, 231.94703718416417, 232.04132067292952, 232.22727160576525, 233.17851221730336, 234.04252254709263, 235.45782708642187, 236.54218336346608, 237.32754615452438, 239.22334800998135, 239.38498360974353, 239.59423420287428, 240.62754252263471, 242.16560749927106, 242.69849292451966, 243.47146439621275, 243.61308787757844, 245.00669476062671, 245.03007708451659, 245.23520018165564, 247.42034550892964, 248.6209291405809, 248.68718933903324, 250.04348765560471, 252.34930054242363, 252.69333728066576, 253.4024499115219, 254.13573125340841, 255.55642503689836, 256.80405932631891, 258.96208831067804, 260.70627991979035, 261.24012188908085, 261.87170884143421, 265.35298368085921, 267.6644275182968, 267.87619421911222, 268.91190022470903, 268.96688424743706, 269.3712392859664, 271.31668794848645, 272.14584327794529, 272.52119506566135, 273.54925791109275, 273.99246182601178, 274.36473322541218, 275.95677847045255, 276.15113655699327, 279.90392380552623, 280.27771301555379, 280.60501603726908, 282.80234486953435, 283.76339041245143, 285.84010726719754, 288.55465859529841, 288.58787325572217, 288.83544060958502, 289.23089191742611, 289.72731779994393, 291.44346084474404, 293.48860374016476, 293.9490777847268, 294.14202651479104, 295.0403558196254, 295.74901404984996, 295.81453232342005, 297.01210004260611, 298.18603224872277, 299.46809382543074, 299.73381948669061, 299.79204084713183, 299.83913664986756, 299.91573940081292, 303.12166839777012, 303.5074839676214, 303.57932750464164, 304.3657552176378, 305.4193640851733, 305.62503451555676, 305.87752594234212, 306.2137304022329, 306.46918861461575, 307.0843893260116, 307.79046982285189, 309.75121059680936, 310.65561192065763, 310.89076333677167, 315.06356170678856, 315.42556797232709, 316.39887921290853, 317.81963503186944, 318.52230033536637, 319.23833700423245, 320.54494794770841, 320.89574896242061, 321.30801698328906, 322.25751888168946, 322.7600144296382, 323.07857766774077, 323.15263472779287, 325.71493218281904, 326.35386674809303, 327.1667243699531, 328.5629162178663, 329.4100260358527, 329.60815899795352, 331.28998392292215, 331.42815515978816, 332.03705429010091, 332.20174216719687, 334.22127640530556, 336.5522878723678, 337.2134325440673, 337.34951903980976, 338.24451086067558, 338.66136007339588, 338.8569489350503, 339.17956314262494, 341.71498994817364, 342.33614653599341, 342.36697667294754, 343.19637504882962, 343.40268926811018, 344.43148768096245, 345.71088047145577, 347.06612233806499, 347.09642019719206, 347.51769670748939, 348.47201344028639, 350.54678555128453, 350.664154402907, 351.71001637323661, 352.56817247078726, 352.73828494636109, 353.90454806261806, 354.2472326978384, 354.593728635064, 354.84964904382059, 356.99962641719861, 358.48352389433256, 359.43332474758336, 360.11496155920594, 362.90166552629211, 365.55211399124545, 366.94933002833318, 367.05845889739345, 368.05913287607967, 372.66056307950771, 374.30850627211225, 375.74315056389298, 378.31709592467183, 378.4988106733237, 381.04310641055218, 381.94887969413713, 382.24372219748898, 382.35225129818338, 382.61418413753603, 384.32505640907056, 384.3943705359037, 386.95845499920824, 387.06486530436661, 387.62097143326503, 388.78780568060546, 393.20234839486682, 393.5689369826577, 394.80285527678996, 394.96172123714274, 395.57013809071293, 396.71501228812923, 397.17151219041006, 399.1532264211196, 399.87832012943682, 400.03291048337229, 400.56256723191092, 400.9821774038839, 401.25753305584004, 401.78675395236735, 402.16148776267522, 404.50835194305938, 405.12586922777098, 405.25535882628049, 405.79898681750518, 406.11523617177193, 406.22818916073743, 408.1808886987609, 408.34942193085612, 409.68853762727366, 409.77723590154778, 409.99807987185716, 413.08034872435616, 413.76718979910532, 414.19185238959653, 415.55062100618738, 416.91683422084776, 417.33692511906747, 418.01057726686514, 419.72315297486756, 420.23873977271683, 420.42855607788516, 420.74059787597946, 422.40784637284548, 422.47086008772317, 422.55674927784833, 422.74208776597487, 423.31986629912848, 424.49332882975239, 424.75709890757525, 425.51758085525711, 428.76450680547293, 428.79396831964243, 430.49858691511378, 430.55397009810042, 431.71287933384423, 431.9068682395897, 432.97334636786587, 435.64683342517952, 436.55790287340193, 439.60459965134328, 439.99083441369709, 441.07383244378735, 441.61946838814481, 443.00198802668848, 443.68709019830283, 443.71535915979564, 446.41817757814221, 448.91262742215326, 449.17677481165708, 450.17652735461957, 450.41296249412954, 451.84788683617182, 454.24148867691832, 455.77476720394577, 457.09547641220234, 457.4703682826476, 459.43033123530489, 460.46118194019999, 461.60802566328164, 463.11256887666758, 463.78069994261568, 463.89490451847752, 465.48271932383591, 466.99260190233326, 468.63325660013805, 469.01166693019337, 469.47539629929389, 470.36324742935562, 471.17490601590248, 471.91944797649791, 471.9682547491974, 472.33275119241176, 472.44273305792848, 472.49491483284066, 473.31669631259336, 474.53109796985331, 476.09062650550879, 476.66575059577349, 476.92409434035113, 477.23080067192882, 477.5703371178011, 477.60933952360182, 479.44264639582696, 479.79455529691973, 481.94961320041807, 482.16677638602846, 484.22711577711561, 485.14249463237729, 485.76511627161398, 486.0137103394448, 486.1953010173799, 486.92788771401342, 488.42465185696017, 489.36473670450869, 489.74099755496229, 490.11753719056253, 491.17990378065474, 494.95213489906155, 496.78178525767424, 496.95039110292936, 497.11769838268259, 498.57986524474114, 498.67523849557824, 499.26203239049829, 499.34899962945076, 502.09757614201322, 503.41803637609951, 504.34693700363607, 505.69375190166181, 506.11549872742819, 508.41648630652514, 508.94844427403194, 510.98700462110668, 511.98393832046958, 512.50042832702752, 512.59558007598844, 512.99510378632351, 513.66580724086168, 514.99544976074617, 521.65546289916904, 522.37577277775745, 523.67550251478815, 523.74764556873299, 526.53309147954258, 527.08241688208761, 531.61067314176989, 533.66943954546934, 534.04975682501788, 534.17449213809732, 535.68152655966787, 536.49051017451768, 537.66642638420899, 537.85885531779934, 538.05638610585822, 538.95901923984513, 540.80346731130965, 541.16028588123572, 542.08638131959572, 543.28940352997415, 543.93314622581283, 544.07544549926456, 544.63769418375375, 548.01582575967211, 548.78084618522576, 550.44128542039277, 551.98703069071735, 552.63943357983646, 552.67309718380363, 553.40141131922144, 553.70867313850943, 555.61346698099101, 556.53228033707978, 557.71332710276874, 558.82057179591084, 560.38328889631759, 561.09212229038735, 561.37090206526841, 562.10107189201756, 563.5583241430254, 565.62226798678466, 565.83724944073617, 567.62533035307047, 568.05327919389708, 568.10077635961284, 568.26991497259166, 571.17900065829804, 572.02090509423908, 573.26182439489958, 574.29727322066833, 574.96689802383628, 577.43742651672198, 580.15677069730009, 581.27369474773695, 582.85580770815386, 585.45040516051063, 586.94737223106029, 588.92129404303159, 589.30238705293232, 589.3977364362222, 590.4396765386665, 590.72867927508685, 593.95132856461385, 594.61855494229872, 594.92706424649668, 595.23538237208072, 595.41074679252847, 598.80891352165918, 600.39589792173422, 600.73842645806076, 601.15556463278415, 604.79203296485639, 605.74135759697754, 606.21629210901995, 606.52104606281296, 606.58565990084799, 607.32568226753074, 608.111181618312, 608.53392612816754, 611.98768848934947, 612.31278376440434, 612.85739219512777, 612.93277832177012, 613.66666920351031, 614.09113288533536, 614.41171160792123, 614.93052318186972, 616.39897778103591, 619.94877725688332, 620.74939471033133, 624.29967067372263, 625.2172895024305, 625.58385024694417, 625.97201565490764, 626.57178988648559, 630.02130144293722, 630.84746907160491, 631.99057002615154, 634.67210265826589, 636.72592931421673, 636.83552915281655, 637.12128103442217, 639.16319724486243, 642.38473063028732, 643.00162650096615, 643.10551937929256, 646.1937235111377, 646.34166807883594, 646.3671426488097, 646.71101546452189, 647.77896881070228, 648.88430445050938, 650.31719229998214, 651.60976716680341, 651.84508239992419, 652.05110750290146, 652.53239577012721, 653.16692201298781, 654.14928368380276, 654.42326519895892, 654.79828716832355, 655.43632017507935, 656.50721674607485, 657.58547343192561, 658.31794530951368, 658.793988750719, 659.91093515552245, 660.52608180039397, 660.58656964864679, 661.86245089201327, 663.12249330521422, 664.31686429427089, 666.30753329184597, 666.39670467090798, 666.63619245428129, 667.8100236904628, 668.04021781719166, 668.86023916925694, 669.52472921837807, 669.55470653929535, 670.34130667378145, 670.80533987386298, 671.87931038158808, 672.17438130126106, 673.24529352104992, 673.95240343248349, 673.98459526823797, 674.99194982455356, 675.77576328314217, 676.11624795182843, 676.32508378138812, 676.74099940894541, 677.32333011166406, 678.56010935525615, 678.61591226854239, 678.96071379542605, 679.69079909142363, 679.87096797946958, 680.18746878116463, 682.43371628193904, 682.63816703566965, 682.77791867074222, 682.96181574681702, 683.62128098492417, 685.06188185399662, 685.633914470881, 686.18551464285497, 686.95786443871771, 687.76412516480571, 688.62770886069632, 688.71206196654555, 692.953466459776, 693.60933813520523, 695.97896890661173, 696.98334446121498, 698.28053571845032, 700.20029272321506, 703.20651668728601, 703.95193570140054, 704.44210142049792, 705.45429515079275, 706.31084764807042, 706.7523053634128, 706.99212080133884, 709.00411342238544, 709.17889939807435, 709.22021924664421, 710.31332221204957, 710.8694798484222, 711.32321596468898, 711.66397564737645, 711.81614212343823, 713.17763566893859, 718.01138232655421, 719.39604057032773, 719.89090533789101, 720.89131641192967, 721.40667674091333, 724.11250094690376, 724.37201818166091, 726.20708445109551, 726.85724986822231, 727.32508299409847, 727.66215458021611, 728.00073400230735, 728.07542016184027, 728.12001670896018, 729.78794108985232, 730.41085970423342, 732.37758848672092, 733.02038262372082, 733.74429402335966, 733.84901434582514, 734.35722224196445, 736.49880164983142, 738.54644729577615, 739.00179291099664, 739.27897688349685, 739.87781777507678, 740.14884836570297, 741.01843878937495, 741.60611185718517, 741.70038447007414, 741.72267085748342, 742.51623595232866, 743.60884864678985, 745.74512520391818, 745.83976069253595, 746.49717980069852, 747.2467327562199, 748.5043181466566, 749.53657439458732, 751.03008193108064, 751.27491259810188, 754.46664109081075, 756.23378953258339, 756.79123105401902, 757.47162229457354, 757.66324550439083, 760.55559629524828, 761.74942028708881, 763.44688005572914, 764.73931154387674, 766.67313523737118, 766.90883688321935, 768.69813199815644, 768.87268051302942, 769.07560263171069, 769.25445147561732, 769.78103166834967, 769.90903814214505, 770.55779339058506, 771.1489558413424, 772.75154067735855, 772.8179458203839, 773.13361850963099, 773.82980852340961, 774.55835849307448, 776.47671666619033, 776.71190140290366, 777.6775450100356, 778.29352921218151, 778.31514186023753, 779.46616723064835, 783.29277584126476, 785.17503783231587, 785.71209427761687, 785.96913345445648, 786.34904401107735, 786.83100277751498, 787.58524850882759, 794.26775499431528, 795.18213252635383, 796.30517134718093, 798.0076571385099, 798.13113194477296, 799.3977647826315, 801.25527213293356, 802.07641001872412, 802.46771945470755, 802.51664901693505, 802.93918491195973, 804.61476080713226, 805.98955573229898, 806.93241959136469, 806.99492411514859, 807.04105616095444, 808.29072121525542, 809.56995341043762, 810.0034651395672, 811.74147679130306, 813.59637151054983, 813.77510385207995, 813.89676022368963, 814.47943053250776, 815.45046414745104, 815.51797580112702, 816.66453132736353, 817.10027704539061, 818.11207360389324, 818.61962508334, 819.96959227264927, 821.99938549866863, 822.41416374424523, 824.10250510908918, 824.90339345116854, 826.02850506171035, 827.53496653687637, 827.80348220653161, 827.99570002955124, 828.4908615742396, 830.40482942367146, 831.81144712097807, 832.61923041589023, 833.1176073135199, 833.23464204532308, 833.54604187610744, 834.61704600705491, 835.11608081907775, 837.14608033429511, 837.90709822563645, 838.04168833938297, 839.34484710492131, 839.77925339434728, 839.9987422933217, 841.92259706624679, 842.36040852787482, 845.42666212692006, 846.34623793057062, 846.89213336224486, 847.07729338378522, 847.41576806826743, 848.6617798494467, 849.25642169640412, 851.03439141780984, 851.21065887474083, 851.32022043529787, 852.98359923021508, 854.1353261434142, 854.39585049028437, 855.52007916413072, 856.34297947371306, 858.79676864783346, 859.18005272190044, 859.90174143777097, 860.00931783357964, 860.35997297466895, 862.7726929709919, 862.86038603879376, 863.36824717718582, 864.35676287046113, 864.55662331054123, 865.57055305006634, 866.96769180352464, 867.08142576943044, 867.29784712524145, 868.00534635450992, 868.57346054954598, 869.50917172092704, 869.7793459366037, 870.37465612681501, 870.65515894042483, 871.46402515784496, 874.09538300587963, 874.93690559665413, 876.01474092268165, 877.79084593585605, 878.91553209098686, 879.10076813294995, 879.14162724573021, 879.69222583595536, 880.25534451276974, 881.15229463115111, 881.7257180309814, 883.11227937148647, 883.51604975602811, 883.58466160898706, 884.95588172981513, 885.16470675354299, 885.4186368027805, 886.00392283449264, 886.54076272839643, 886.8116763494894, 887.11728224264641, 889.37440148139694, 890.28152957914938, 891.50419421777838, 892.84762602722481, 892.91122302542783, 892.95795094124878, 893.04583665322878, 894.5073412292769, 895.14523775674502, 897.59715784183993, 900.07082322713734, 900.46102931057544, 900.73816415402553, 900.94376200056593, 901.43978448626831, 902.04574976027379, 902.13914355948339, 902.16356670634082, 902.24036667765017, 903.49426125690809, 904.94993386399244, 905.02264329737, 905.16968844666724, 906.13329461774788, 907.2143677314275, 907.96716517592131, 909.15880899956221, 909.56828060600401, 910.08019226846147, 911.78576422216247, 912.09332549650094, 913.18482963375141, 914.30719516525153, 914.67272444796936, 915.17801814704876, 916.49418878622544, 917.43154654021066, 922.81155275850313, 923.32405759498999, 926.20479689607009, 928.17207416017357, 929.46887907913913, 930.81480312072495, 931.98482967519317, 933.87396003384254, 933.89729822823188, 934.15406320332113, 934.77872298716522, 935.94093479803678, 937.30895120944274, 937.4249849145009, 937.76859052263728, 943.84565703635155, 945.63453908683471, 947.37855671558225, 948.41573418566884, 950.0722730283893, 950.28514315072107, 952.13797872962448, 952.58277028316536, 952.80870161486428, 953.63211422319694, 953.82902572742978, 954.68253900105003, 956.02672295731384, 956.33747562282167, 956.82524248165987, 956.98836824897569, 957.69003740922142, 959.69863463297895, 961.2763387403761, 961.78879701773678, 962.24798163697812, 963.15790402868527, 964.83715347281054, 965.62921815694733, 968.30515848510311, 968.68715832947521, 970.26234492837023, 970.45625642775167, 970.66733436032348, 970.84634474709094, 972.77666738010305, 973.39860257340047, 973.74338988277452, 974.69512455610129, 974.73802708102835, 975.32828383025924, 975.96388890311414, 976.17720356361178, 976.46634759507515, 976.99212066894324, 977.79957458771059, 978.61763206715386, 979.05361386288735, 981.71580862029646, 983.41011890902496, 984.997191768378, 985.72698327698981, 986.26400192511676, 986.51374090010847, 986.67851748265241, 987.23605927204483, 987.73562350801171, 990.95554308600015, 991.70578813157988, 992.08722473808052, 994.23560428966141, 995.00705084502977, 995.3175309666135, 996.12744922151023, 996.18890675671582, 996.23597689827341, 997.97792072930167, 998.45461429748639, 1000.4602562318091]),array([40.432596226408833, 40.567597622911507, 41.421701530010537, 42.08575705998642, 42.886061766076715, 43.17719122570864, 43.888573961976036, 43.984322754727557, 44.158997667598179, 44.655944783442663, 45.325044633819488, 48.034665796048039, 51.057582615602492, 51.182654734064862, 51.675223680541215, 52.630505976469173, 53.278950027760054, 54.507189490772902, 54.685763768614173, 54.793612499958158, 55.548861925231385, 55.660510093908243, 56.465106385028278, 58.268336777196836, 59.413292432878848, 59.850842787590238, 60.33335894855049, 60.581849047833572, 64.424437490988012, 64.779701211552336, 65.107487696334502, 66.98313375618487, 67.043587834803418, 67.936553840429042, 71.197882492732148, 74.992688189730231, 75.527890255245993, 75.742244190324826, 75.896500166355921, 76.354451497560433, 78.560174873607338, 79.96623290692942, 80.287662232923324, 81.677355266176377, 81.7271334610015, 82.378597486477403, 83.263675534653359, 84.145786193711928, 84.907782133175687, 85.260689467612025, 88.871011032868964, 90.136238559998262, 90.665881130534032, 91.579088720294081, 93.531022689337931, 93.875587364447952, 93.929894088134532, 94.342131680669127, 94.89615061411844, 99.548790162115452, 100.12745422367249, 101.97280090132702, 102.39817820707471, 102.9257129545403, 103.70508882775502, 103.78535549608756, 104.45425869036301, 106.26991074260432, 109.35881837221503, 110.8765756723033, 111.01843903054041, 111.48946458185205, 111.70706900542096, 113.27709768164837, 114.21946148187858, 116.32800191108949, 117.14727731201216, 117.24845054171124, 117.6798641091234, 118.3515969385579, 118.41894800417683, 118.5270565221464, 119.18221771357122, 120.48173979858687, 120.756943803629, 121.18696199432533, 123.13602180609787, 123.58625333661428, 123.67871269522102, 124.32756971073835, 126.07369939138889, 127.42698932110881, 129.89240550257736, 133.54573039579853, 135.01364132949726, 138.39335634371676, 138.62725637053765, 138.76741514119362, 139.25445982995183, 139.59510335281968, 142.86470556311772, 143.40763606201759, 145.081818232947, 145.89789404065672, 147.13775636898686, 148.9857056696215, 150.9740347150067, 151.56273519617531, 153.96072568727257, 154.11838815100754, 154.74575373170848, 155.41295618950429, 155.77831208712715, 155.95145455285868, 160.83732452720079, 161.03451658927182, 163.85157972826016, 164.41202785449397, 165.04404685912525, 169.6719550906781, 169.87066807552429, 170.18461323188762, 171.17979839183764, 174.68067870209848, 175.68692602339803, 175.73410522208249, 177.53457022785577, 178.13944235760965, 178.34498919433636, 178.49372595481384, 178.79423771468512, 179.12893943724316, 179.82285915888608, 180.01981817388281, 181.7856105098131, 182.6398114565626, 182.86854174962673, 184.08238117513474, 184.7668257594307, 184.89166417717627, 186.45881266317488, 186.55666459873595, 187.12029666948973, 187.21747508607837, 187.64405855401444, 188.3192072987213, 188.83158450265961, 189.22259023486825, 190.16340633130002, 191.56012919722966, 193.41691483304788, 193.71430393866137, 194.82864534368542, 195.88218634017156, 196.06989544719897, 196.38846099403443, 196.52811199042176, 198.80526026814849, 199.0642380860823, 200.23062663574649, 200.85113938889117, 201.27809608559974, 201.30249367011561, 201.86224343303186, 202.08630102377586, 203.48135194863232, 203.63614153326347, 205.11188770845493, 206.14694882197648, 206.24286558517184, 207.41414415201467, 208.53315302574401, 209.7200399377636, 212.47543242773003, 212.67010507201536, 213.76988158311025, 214.76561762826088, 215.10389326215636, 215.61485123369567, 215.84344253638838, 220.42342229760533, 220.4566950379276, 220.55621373829524, 222.17588717991907, 222.86947595674988, 223.40105431575333, 224.64588056693862, 224.82418999867127, 224.98622619573334, 225.10947620759529, 229.80122286884551, 232.19790357105657, 232.35591621421412, 234.09233976145958, 234.47959414926001, 235.78744718902846, 236.38579278964073, 239.00183757210729, 240.75039649409456, 242.6701796402177, 243.90527939198591, 245.4656180493964, 246.61617911706441, 246.78848767582153, 249.79442944980721, 251.75865773506871, 252.63473247756019, 253.37801307361414, 254.08880934982312, 256.65908622559698, 257.36285323597735, 258.38769670302764, 258.66338560532779, 260.13730096771167, 260.31892690213499, 260.38243121521799, 261.84915612827859, 263.4072631295744, 263.47220301588891, 264.48817166801916, 268.31108078148321, 269.85430880142496, 271.76841465386929, 271.80036541293083, 271.86863318457068, 272.04038308551299, 272.54263479391261, 273.08345733744159, 273.15615635632531, 273.30049157819076, 273.32078066316717, 273.57770696746474, 273.85540410015642, 274.6237092971877, 274.90857887751292, 276.2478413861071, 276.43027545367028, 277.42070225194288, 279.63733776539999, 279.82656260594308, 279.85319172885551, 279.94686615689488, 281.41808519550949, 282.8911705173665, 284.29859347703945, 285.42008545467496, 286.58975197855398, 287.27601476524433, 287.86453640542027, 288.70285480249368, 289.59963838492962, 289.63659380941613, 289.70614580029161, 293.3128946484461, 294.1141910511098, 294.3925376240577, 295.89672546100275, 296.03027513715392, 297.03813584535868, 297.49559746871563, 297.59901299179808, 298.73086014636294, 299.19232071038715, 299.24372542135336, 299.50763824899963, 299.64069778813365, 301.57794095041982, 303.34578401781448, 304.08123381756587, 304.69584972814425, 305.30317433726674, 305.80627725509743, 306.05530466318351, 306.30663573615578, 309.2727512485468, 310.68814252197768, 310.92264244798599, 312.50378555149075, 312.60276037768932, 313.29020473760903, 314.61235370403398, 315.07730904558144, 315.38493371309488, 317.23383589639127, 317.29693573884236, 318.62659642109139, 318.86624003524099, 320.49390142648082, 320.91249062174847, 321.32794592436204, 322.32896484969763, 322.50877788923822, 322.60958260232673, 323.71352354261444, 323.95777471486031, 324.10834914542369, 326.49532265688742, 326.86895543807492, 327.53214766565185, 328.32156649375275, 329.6879476246994, 330.28135603823665, 330.56776453443933, 330.80355130998868, 331.16980164509107, 331.91075265718098, 336.1019675688085, 338.90064357846956, 343.68830705071366, 343.76073998269356, 344.7683694155117, 345.80461266311585, 347.36269023273633, 347.39746715737351, 348.06263200277999, 349.20872174579097, 352.0648549814976, 352.41421461485652, 354.39083690103496, 355.74415734972206, 356.71338301376574, 356.98366952575702, 359.9430367932693, 363.04007056591928, 364.71758526223175, 364.87765632055908, 366.26119222904225, 367.10591751690492, 368.95539682190309, 369.01808239847514, 370.69758085664733, 371.90241483001211, 372.77026079200732, 373.49235752556712, 374.64099634738847, 375.8590541301798, 376.39315563635, 377.89198174493089, 378.36229469454497, 379.85479419871825, 380.73916290029439, 381.54375023683997, 382.13693587247997, 383.42525266875924, 383.9294507760174, 384.05031450533608, 384.69253251694187, 384.7830716273819, 385.09019100401326, 385.78240010096482, 386.85063595954171, 388.76382849169727, 389.27537102820673, 393.12126815123219, 393.25495867518117, 393.78208456875973, 394.45917810129214, 394.49569484478366, 394.68333055233205, 394.81762755018866, 395.73754065852052, 395.98035838281731, 397.07406180310466, 401.52892507683464, 401.69922012718689, 403.32871880752663, 404.41591824817164, 404.71421012619186, 405.15996668013253, 406.02413812328422, 406.71505724757907, 407.86536300390225, 408.12776807078535, 408.53401410953273, 408.58937004430391, 409.05166858792609, 409.11700633318014, 409.84753790863948, 411.27875165476786, 411.98860929146309, 412.06017751419165, 412.6447449344497, 415.31384595989732, 416.08756379391758, 417.68579871824437, 419.3221109630399, 419.99107326408347, 420.81266085385482, 421.50965605272432, 421.96501111953398, 424.52000751878558, 425.55432857348649, 426.08690880267562, 426.21351980408485, 426.29548097550645, 427.23471185547493, 427.29906092674804, 427.94155760556271, 429.02624557520346, 429.94224258582523, 432.76279141359549, 433.36062599614502, 433.94205195371956, 434.96015486912677, 435.042383281262, 436.16141869653018, 436.51309266333607, 436.85088059047348, 437.4028403320803, 437.45632617690967, 438.35098052835303, 438.69034071198234, 438.86792949465132, 439.53238385189979, 441.24076868934782, 442.26762561390012, 443.16919874008613, 443.28303463547888, 443.89747991014127, 444.51541319095514, 445.39678475551506, 445.43520637380249, 446.88987689367053, 446.94342608491576, 447.10810662551631, 449.07491429339592, 449.18906090455584, 450.63935813501445, 450.68154681918071, 450.92585542196605, 451.55795842411362, 452.06164765396102, 452.51562582644323, 453.14835081777517, 453.50502641203866, 453.89423058381846, 455.76838412750112, 456.54638441743691, 458.42874154782123, 458.59988971461723, 459.77339218375926, 459.90002279807413, 460.97856204779561, 461.06400306890021, 461.09872928125623, 461.52646049667248, 463.39771526738485, 465.44452775837647, 465.96186452216443, 466.21938300801946, 466.44836761626567, 466.68295015879971, 466.70572119087205, 468.10863510986405, 469.86094936000342, 471.07181738099814, 472.22126744703439, 472.27803800665407, 474.23509074386465, 475.73558234970784, 476.89308640772333, 479.0091643492355, 479.74718132518223, 480.20173393026494, 480.87238016337244, 481.02591409256661, 482.13394814889, 485.15680499634999, 489.43319190916168, 490.23571148630515, 490.95555430009961, 491.57497034789782, 492.76233201758987, 494.90750143184169, 500.09695871488248, 500.92121903290484, 503.93827897205892, 506.13548956154989, 509.40435075732023, 511.60151195368303, 513.16311771205642, 513.72493955804418, 514.16045380129844, 514.71467481422246, 515.14710399451212, 515.73235171536714, 516.17587636248754, 519.56618941687077, 520.48745309719277, 520.91750477895323, 523.27287447072285, 524.15559293307467, 524.21622044122637, 526.57416608208473, 530.2409444999322, 530.8909385828847, 531.73319528382353, 532.28849951323843, 534.36754540335187, 535.3460227663877, 537.07238900565824, 539.04238022114998, 539.41645700048889, 540.30834018401072, 542.69924074609833, 543.80097488552144, 544.04424606259795, 545.9277459889388, 547.5297297389078, 548.69741629244231, 548.98147568223624, 549.97122396292821, 550.00715293147016, 550.03138206743495, 550.79526921829029, 551.9784373911167, 552.74655684970935, 552.78735083293964, 553.72016719663429, 553.95768100350119, 554.35401234784467, 555.52604356689392, 556.87704601649045, 558.76875589288613, 559.37244449551645, 560.44405871943161, 563.51100720650777, 564.38135323502809, 565.23435547398219, 567.18174886811926, 569.36795064125704, 569.57346171397762, 569.85539628305594, 571.13955277727007, 571.27850534785421, 573.00737430817708, 574.25757798440964, 574.81688187322391, 574.95767506902769, 575.38962993200937, 576.45831352993946, 577.92508271173676, 578.15993868673422, 578.30094618148678, 580.09456877189143, 580.27292810171696, 581.4635656208302, 581.7738780327204, 581.89290469391267, 582.5103320143337, 582.94257455451248, 583.39552910841996, 583.71152676175848, 584.15779523655158, 585.16929680501346, 585.44128522558117, 585.87758306101637, 586.49744823716389, 587.83619051122105, 588.3015484658672, 591.36151209567174, 593.71511980877096, 594.56930087608305, 597.41402932680535, 598.00638641991759, 599.41486016240572, 599.71801249418911, 599.98845451544571, 600.51721243257862, 600.64926057967159, 602.14975327454295, 602.25584982914154, 603.05905491938631, 603.43038413396675, 604.43513120991133, 607.12152477469817, 607.16186980993371, 608.08631946695391, 610.54089426836822, 611.56623916965577, 614.70217664478264, 619.71814574852704, 619.82524325956842, 620.96541896036354, 623.23734780571567, 626.03233335203151, 626.28246059177764, 628.06701096237998, 631.52617997182722, 635.23277588924452, 635.2907124157374, 635.53615238622058, 635.83840889925546, 636.29793581528077, 636.42990924015294, 636.95849677295143, 638.45258691078095, 638.67017234880348, 640.69601266082486, 642.71806651575514, 644.27326678836141, 644.94838938299051, 645.09871048120192, 646.5760941079003, 646.89927525872133, 647.51679505244908, 648.02915825700336, 648.74185995347898, 648.93624618167723, 649.85470693645505, 651.44468432849078, 651.74827740206877, 652.22721504165804, 653.75835041730033, 654.09873138042258, 654.50720980626909, 654.89215541932231, 654.93241157384216, 655.87211954905092, 656.11122630178238, 656.56212253305466, 656.98952609683795, 658.12672578837328, 658.39412011745821, 660.89872316986884, 662.45297579678254, 664.54584571923886, 664.80402226635329, 664.97607931740959, 666.99967741261685, 667.84548978224734, 669.81225077878946, 671.19847240262607, 674.12278965903022, 676.32863890144074, 678.31593964748276, 678.41224426658562, 679.72244047259619, 681.14925129158632, 681.21071828850677, 683.0065225780636, 683.07503841900336, 684.12068625924974, 684.57879060911137, 684.98831543979395, 686.27949339615384, 691.23453263091972, 691.49997744133714, 691.82440191052763, 693.56790257099487, 693.8123893825408, 694.0353527915978, 694.22494673117012, 694.66979692725681, 695.09284919673348, 695.35272563413173, 698.15496373817734, 698.46925218198123, 699.21412687378688, 699.26307733174224, 700.9380003156333, 701.22457653521099, 701.65890023278689, 701.93103344827489, 703.08882356489357, 703.29567114827671, 703.32628611290374, 703.98686702217879, 704.16198039579251, 705.20361264777034, 707.34644320320797, 707.45215310278218, 708.36635917961041, 709.36845713272282, 709.99108997478118, 710.61794600494954, 710.77756089350851, 711.27799774969424, 713.57182773917361, 715.27094581795552, 715.95982897043439, 716.85762907973151, 717.17156476382138, 717.71308383208759, 718.02383873043641, 718.62131407945628, 719.69950652538671, 724.02762943442099, 724.75670255959903, 724.78312880394367, 725.10600420300273, 725.45754467700419, 726.00607346339143, 726.26384785559389, 726.89680829959764, 728.56018962762789, 728.7526826594958, 730.15539077076551, 730.22097563340355, 730.29135965838327, 731.64080200104024, 732.42367281267991, 732.73940129777952, 733.97639812681643, 735.08216177423162, 737.65045966650962, 738.62375226026847, 738.66746745041155, 740.54555116240147, 741.88604871316966, 742.57554209410216, 742.96478160626998, 743.95086704020764, 743.98782588917504, 744.07946589119649, 745.24390515162258, 745.65923570807126, 746.16067769606946, 746.22907748270256, 746.48619164832678, 747.42264118527589, 747.71188849110968, 747.76404780468818, 747.97348293465723, 749.61729882593977, 750.04337478266802, 750.43337154903179, 751.65992690288135, 752.43940336803871, 753.41251288332774, 755.68573572722369, 756.06005593341717, 757.23534021259616, 757.56572161660847, 760.47286094986782, 761.4340621814988, 763.05116216865531, 764.54669233372283, 764.94820566956105, 768.36225986788907, 768.39489599324281, 768.63051360024303, 769.79297714077268, 774.0576460177532, 775.14859176210211, 775.87020487324457, 778.3102305765043, 778.91485062066135, 779.29323826065809, 779.99967870214743, 780.88102567269709, 783.96816515959449, 785.10936620854341, 787.33726991251945, 787.49388082666769, 788.01100842685537, 789.51439969572323, 793.60549103887001, 794.89718653705268, 797.26396171856811, 798.74126837828021, 799.15553400140891, 799.20867330629358, 799.81484394274935, 800.53058188579155, 801.07410400536116, 801.25977292418509, 801.51955549472416, 801.87481516068976, 802.48180662441018, 804.15165006140353, 804.81620051736979, 805.22528537266999, 808.33767034835478, 808.87537937525553, 809.98927239713828, 811.11128564389583, 812.37736458753591, 812.63680453272912, 813.42693028612075, 814.57574964208823, 815.00778172474395, 816.03659561787742, 818.15557661167406, 818.99155595455079, 819.86075886485673, 820.90230353651498, 822.97477943293268, 823.0565329772985, 823.08135718240862, 823.39295612444209, 824.21885980131276, 824.71115197646702, 824.75284075741058, 826.20068257961407, 826.69169879627657, 827.91496664038698, 828.5945493758187, 828.88037052514142, 829.99017512399564, 831.76479892201655, 832.60530128054768, 834.23839878604747, 835.12172767407594, 836.11728530010112, 836.31242607451372, 836.4775449904057, 836.50564654327309, 837.27502356906746, 837.3693904603042, 837.97795710636979, 839.43854678074342, 841.03749213848425, 841.78456016494806, 843.67066094014251, 843.95952351392111, 844.88520550928615, 845.24083085300754, 845.47304622160686, 850.32304529088185, 851.87363189739642, 854.8795578493191, 856.03436199788769, 856.37919938848256, 857.01247361200603, 857.51890131251389, 858.17865338666456, 860.50160304265103, 865.34656595545198, 865.94904138579079, 866.87056745444193, 867.02095352258368, 869.28876152487862, 872.36787980191821, 874.75959684263, 875.41900249591981, 876.04897978963311, 876.48380956560038, 876.60730226284807, 877.36379204643879, 877.63512193795509, 878.04136201855636, 879.96270851482689, 880.84654594924655, 880.98369817615662, 881.59283543798904, 882.28083275680183, 885.63521201031699, 886.4966460932327, 887.11493924242086, 887.86099931580247, 889.48237602091865, 889.84638860730547, 891.84117090234861, 892.66731232858149, 893.77682564189695, 894.32997618606976, 896.59772700047461, 896.80487053730656, 897.91561942576925, 898.21505201276523, 899.24774235770155, 899.28638290725996, 899.79998450126459, 900.55858828917758, 902.38449458089792, 903.29994948556282, 904.52011087089875, 905.49441068864144, 905.86407320824333, 906.07787830517179, 906.2724102721487, 907.08459248136217, 907.61508584845728, 908.26519704509371, 909.90568792008685, 911.45566098236668, 912.85314422260956, 913.29361881207706, 914.86824577041318, 917.243498505665, 919.63393965181115, 920.38143824323845, 921.50192350068585, 922.38777853243948, 924.03019505591351, 926.24157263328402, 926.62123775125303, 926.91417168516557, 927.86573034609478, 928.39037367135791, 928.90351136934544, 929.01847515611382, 930.61591812572226, 933.32149360087067, 933.79757523303374, 934.95690557512648, 935.01821280336242, 935.2065050992228, 936.28728346012508, 938.89412421382519, 939.53171768203651, 940.1959410944603, 940.6406483275448, 945.29952412185526, 945.44998870537847, 946.96206061981729, 947.70664200037447, 948.79986349317278, 949.60307694186861, 950.31059755406852, 953.38720215809622, 954.88126349444417, 956.01403917077459, 956.67441812384823, 957.38092838835109, 959.50523836698972, 960.77859057629939, 961.40887788257328, 962.97147385663743, 963.45662602896539, 963.71450536789905, 965.36192831927394, 966.2908267450066, 966.70364226696734, 967.60202285551884, 972.00773315978552, 972.75891996556618, 972.78544557189946, 975.52822671328965, 976.93598989932491, 977.3510470020093, 977.66661791821264, 977.72403152616118, 980.05743839603122, 980.11954945799869, 981.20530875534189, 981.66349763904486, 982.43956459940421, 983.20013199532752, 984.02274045699778, 985.85387204509902, 986.08138560727969, 986.10972264758743, 986.78316728047707, 988.56873633244413, 990.44148382361982, 990.7344520603898, 992.74085955794067, 993.18722751853602, 993.4772745431361, 994.7453137710927, 995.75991605658589, 996.80769170763119, 997.59917264841351, 998.62420391394596, 999.3363519133502, 1000.1090765704419]),array([82.579872076520076, 83.10453182380796, 85.188213257018575, 85.61257669607032, 88.073209215105152, 89.396391130094955, 90.293730499392723, 92.040797749798401, 93.49109595872163, 93.597867804805432, 93.86853972650097, 93.906764705979285, 97.520753994635868, 98.118060054559336, 98.450315167650331, 98.830027839366878, 98.860661470466724, 99.112510455588961, 99.673760763219732, 103.4396837037454, 107.30653426566271, 109.37886941570987, 109.96882628736083, 111.25281768862756, 111.30481481154536, 112.5731173393519, 112.91371761199761, 113.0182868736957, 114.81289561333161, 117.5324789439635, 117.82691879643576, 120.44785956715108, 121.39274573192799, 122.02304087779979, 123.26097531279818, 125.46009471645495, 126.15181279505066, 126.46184445323375, 127.72451060825691, 127.80193136061162, 128.15004595305049, 128.43222158658813, 128.70873259908356, 128.78807429525028, 129.90214276617266, 131.50902298499187, 132.02645365421361, 132.6395275263676, 132.94920415309497, 133.17463436163746, 134.69833050355805, 134.91399049255335, 135.14986629675229, 135.32016201232912, 135.3522873015155, 136.75648469213064, 136.95646317908927, 137.48058229961953, 137.88512058251646, 139.18907187175952, 141.00966769903877, 141.95090858944982, 142.59490054065185, 142.69799129476738, 144.63446913970338, 144.71415354976233, 145.1688452626374, 146.16580784398926, 150.12524538851156, 150.27450144327759, 150.50962310301767, 150.76816942341043, 151.26463791255662, 151.31193863991518, 152.56562309068124, 152.90848358012954, 154.04679878087626, 154.08088409417914, 154.10496769986327, 155.74807673155337, 156.64168765025505, 157.47831539665614, 158.86576525446424, 159.58848070923437, 159.86838739374409, 160.3787236557757, 161.4312706305455, 161.50179093201413, 161.731308619674, 162.28285170036293, 163.61638347798083, 163.65499627560698, 164.550984762795, 166.46884926096195, 167.50737481430937, 167.59946222912819, 168.3356392136138, 168.51921886839366, 168.81512279821374, 169.38101416590089, 169.57529869578542, 171.50266410999305, 172.0452287428225, 173.00551558653754, 173.61383760830097, 174.48146671445693, 176.82894712447506, 177.01587407905626, 177.32418272986254, 178.25532082113429, 179.49524780921556, 180.74054170626263, 186.59447396240259, 187.51910459903576, 188.22750282112733, 190.04789671272968, 190.38343405432286, 190.65956256417476, 192.06107369051853, 192.34382363362474, 193.48066493178612, 193.68025099583042, 197.52416402383983, 198.97502202228696, 199.66156494007086, 200.35809051130548, 202.47341618795579, 202.70763502727664, 203.75899836482537, 206.87548322242768, 207.28122996523521, 207.35766607966127, 207.85007672029658, 208.14594703127679, 208.31240516569173, 209.38044195790005, 210.30958048833216, 210.92787625605402, 211.67278229555049, 211.96249388581145, 213.72268417797602, 214.32719764281674, 215.62133593676984, 218.14139735738769, 218.22040350160776, 220.79436822746504, 220.90893002793402, 221.5383612858507, 225.56594824344444, 225.66690900346117, 225.83468944459548, 226.41326598301845, 226.55902387204102, 226.74266178923273, 228.31295350579765, 228.37676649117526, 229.14612243594848, 230.72767185161223, 233.03307564324695, 235.17500911297185, 235.4571723417599, 237.0741255700533, 237.11056138264516, 238.30482299121843, 239.11485077337576, 240.49683222106756, 240.56624694158288, 244.04385667207129, 244.44439975011517, 244.5358757558503, 244.77416984685615, 245.47752106161826, 246.19909231379071, 247.99145901617777, 248.04010355433022, 248.3887883345941, 248.50076907729252, 249.04978702769768, 250.74389315129554, 252.49291654704427, 252.53950587760622, 255.3324008349795, 256.9058735603856, 260.23505077049344, 262.78393759501353, 262.88859937578343, 264.66648537311852, 265.6569256293501, 266.64126727101456, 266.93644645676096, 268.45249587395188, 268.73353723168157, 268.76916500697422, 269.34016941126038, 269.50861084279842, 270.14607171639057, 271.01200445390225, 272.88233513232507, 272.94989559409072, 275.23257514757699, 275.95870955792907, 277.16608709856791, 277.30830824704873, 277.71001002233515, 278.05413775661225, 278.88963445770617, 279.90205759649484, 282.45403464093255, 282.6144998488237, 284.4757448812785, 284.5258549679358, 285.65440556685547, 285.77642133770451, 287.47805836883282, 287.81721518613887, 288.4893743059435, 288.9665549401704, 289.66735618693474, 289.84396711257119, 290.42539201390218, 291.46539899384675, 292.21826002985324, 292.7985687724813, 292.93695824760636, 295.15822902356354, 297.71868432542567, 298.29108843215471, 302.67833277169495, 303.44632999483514, 304.88462800932945, 305.25124865845311, 305.70219752700592, 305.90484530879712, 307.15808612474478, 307.46534770769819, 308.17806112572043, 309.20736848026127, 309.63246447786997, 310.17633498455422, 311.06168995468721, 311.08447460514884, 311.19439699927415, 311.47933037198533, 311.52656984432656, 311.71347672155417, 312.01035262625447, 312.62504128662636, 312.85061724488287, 313.33581272059354, 313.58727721357531, 315.4576354076014, 317.06902975643766, 318.04536018665993, 318.14630703907676, 318.2908210358554, 318.56161645562156, 320.10294625004394, 321.01002063114061, 321.34765330378389, 321.41216271625615, 323.03289067789945, 326.25631533616632, 327.40627860746696, 327.87263518002896, 327.9958230995673, 328.36534126683443, 330.10391611882733, 330.64648690731934, 332.07526547317752, 333.67687469919821, 334.77220125444148, 336.94003248838368, 338.74952268544382, 339.68380454462977, 339.90006038433154, 342.14210456782234, 342.34396703496429, 344.26351716335358, 345.57800437140128, 345.61216746301301, 346.18757699865421, 346.92529350734185, 347.66565311675316, 347.68739315504217, 348.09719862517665, 349.35483118889738, 350.01297194502331, 352.01314123241571, 352.50887237408591, 352.86154425253051, 355.81430850502903, 356.84734731950806, 357.69825122644733, 360.1264343597, 363.56332452250837, 364.37915281541331, 364.79342074274791, 367.80584076023064, 368.22265021346277, 368.78192250190637, 369.01185256658965, 369.67874762192002, 370.46349912030718, 371.29428883862414, 373.16740695054011, 373.55891714489877, 375.21016703306822, 377.23528956387491, 377.78799903697973, 380.14667379251449, 380.95785053179401, 383.48209287482848, 383.69672300228302, 384.04421172981057, 384.30852949161499, 384.36790627680256, 385.40423993381529, 386.07789461831828, 389.07031503706935, 389.38375848602118, 390.1622517845031, 391.20106460490422, 394.40133052518775, 395.27536570666325, 396.16515313440067, 396.49693902855648, 396.75724745116486, 397.49390239246173, 397.85897516317755, 398.44370490264265, 399.18750584031829, 401.25062754361517, 401.46436334960686, 402.28648574572861, 403.94278355475956, 404.67472801338613, 405.06256203902495, 408.35217042648208, 408.97991246952557, 409.57430683096089, 410.77929934902619, 414.57414810758723, 414.7398300921127, 417.59967228364428, 417.85936833939957, 419.31928655027758, 420.69806671742344, 421.18074677874358, 421.53018059380645, 421.87670904297897, 422.74502862162063, 425.84159599435344, 426.9727187499152, 427.40152410594249, 429.08887801560434, 430.33881372250676, 433.01953356951645, 433.13858761234707, 433.3324995549014, 433.89923451751849, 435.59326298063462, 437.98242060936036, 438.09422373053093, 439.31698506315018, 439.36307195975968, 440.87588690016099, 441.62688265875511, 442.83561734785627, 442.92449502343487, 444.20239500090082, 447.70799735572967, 447.89050015486316, 448.0912238583112, 448.99926492726604, 450.36780203397421, 454.62393066495054, 457.02052597927087, 457.64213005824342, 457.99631922948384, 458.39158121093243, 458.83647586219371, 459.09562430327702, 459.22163536104028, 460.05228016160783, 460.32077747248127, 465.20422756846511, 467.12695988719912, 467.21538115389103, 467.86666328383041, 470.06905201574261, 470.15993672015975, 472.16634466913956, 472.52431968581209, 473.51286699631021, 478.57874109977917, 479.9922123421315, 481.41941388403535, 481.71133883083519, 484.38487322396492, 485.7418988455147, 486.91809489694037, 488.66078195834865, 488.85607058650504, 493.5255965654348, 493.5935405803591, 494.39109612988318, 494.61501599183504, 495.94215536263454, 496.11707806845254, 496.88024349383682, 498.10281962138095, 498.99352322181835, 499.56723573003171, 499.66305204600138, 499.87544647009469, 501.29635374102941, 503.30421152514953, 504.60474907371537, 505.04055177228207, 505.54804536252999, 506.03349920668586, 507.0811756880114, 508.12440962748792, 509.6268395601499, 509.88871522432191, 510.50286425074137, 510.85009069547976, 512.30046242504955, 513.79625389707064, 514.118526930244, 514.33423164517569, 515.91619360902996, 517.39763865036616, 517.42682932244031, 520.09533089178228, 521.73982192011147, 521.95365516266531, 522.11670170608727, 522.9880686138755, 523.07461191478149, 524.82277971054646, 527.4331319240174, 528.19792786685468, 531.10120126550646, 534.1017377320569, 536.99122963128013, 537.64383161926025, 538.37203511235964, 539.43865205305099, 539.49982275317541, 540.96902293521407, 543.22657618297217, 544.87932991787204, 546.18466872689942, 546.90816363490399, 547.16878024240737, 547.61985058579694, 548.52777607827613, 548.70428378667737, 548.84861776967659, 549.15597426557076, 553.47153164737813, 553.6248002303671, 556.55994635401851, 557.90526670741656, 561.42602674567581, 561.78694986436471, 563.50612560371189, 564.63184427479587, 567.62657642750412, 568.09225396441457, 568.96792847518589, 569.60155685619532, 569.85606993155204, 572.79676486871438, 574.4697291393843, 574.82924099714694, 575.95340052648453, 576.9677490928176, 579.02581880476941, 579.87343886871633, 580.54512320719209, 581.69654765879011, 581.79406571844095, 581.97535845678169, 583.19382079695208, 583.74840459123436, 583.82470896524762, 586.52047845912682, 587.266303704866, 587.32579270177996, 588.44261720756253, 590.00290669933975, 592.46763153652967, 593.18327115779402, 593.47974742187239, 593.799678226835, 595.37006922501905, 595.92778530403211, 596.33970235594597, 598.39262406448995, 600.37120745563652, 600.6657284677716, 601.89432943029851, 602.91261684749736, 603.05428620247517, 604.94032137584782, 607.59800455600418, 608.64392604991451, 611.05062031347461, 611.43527504012616, 611.87372557683398, 611.98664560537804, 612.47547654862876, 613.16191440226851, 614.23315190112623, 614.52750097112312, 615.23634747647623, 616.29221574836129, 617.10377259977201, 617.68243314565223, 620.21792257878712, 620.69527823327269, 621.43211220000615, 621.66580205221271, 623.72763352742265, 624.27056070308481, 626.36025345982284, 626.61435815934362, 627.3714675403512, 627.73569299116355, 629.10765094972828, 629.66690109136346, 629.75794201807048, 629.86511201453811, 629.95909457441689, 630.61551834765953, 630.89032206003367, 632.86422437654642, 633.89448499217781, 634.79379358169956, 634.93772876007927, 635.2925451885344, 635.5108181551775, 636.22400345679034, 637.21844281662936, 638.11398948348653, 638.40108233167314, 639.35967890171139, 639.89136941318657, 641.15091826391165, 641.56151831530622, 641.85458146702183, 643.34895302531766, 643.7851441883322, 644.32547327102577, 644.86921680700095, 644.97856843602563, 649.11136120651122, 650.97695295458766, 651.5454209879025, 651.92221353165905, 652.98005343831267, 653.08189195454486, 654.60315820427604, 654.88282663471625, 655.5513142282125, 656.71464253251725, 657.11584306115776, 658.80518712219691, 659.06802039079048, 659.50083951764225, 659.52268310450847, 661.76121863474737, 663.00840755063757, 663.32389768271923, 663.99036380101927, 664.21868191660189, 664.75347659339388, 665.22062369440744, 665.82041361416316, 667.3202731145135, 667.6610483188058, 667.99336516052733, 668.11305321390375, 668.94127217064818, 669.13367690546977, 669.72069948682156, 669.91246061489539, 672.00479834807152, 672.16878611481934, 673.22322209025481, 675.38239034048456, 675.89995459986562, 676.02291903039225, 678.27221188289229, 682.65433136735885, 682.94857112962882, 683.50684956293935, 683.8151452172674, 683.91785338596549, 684.67072651848343, 684.94644417194297, 685.04674232808054, 687.41492824648788, 689.16888894227407, 689.52441189420801, 690.47734983504097, 692.4504780351316, 693.27748721377418, 693.72489254205266, 694.0834408760187, 695.74166542198941, 696.03560146620214, 696.9380999858513, 697.5566441591975, 698.21101036484595, 698.80988371323247, 699.64409540359463, 699.82291687428324, 701.88110207812952, 702.07272325032545, 703.2929427255624, 704.43718690103208, 704.58976255393486, 706.20804769009317, 708.61991778638094, 708.74449018283144, 708.88702595863765, 710.98569490305431, 711.3345511419792, 712.34546660599096, 712.41903261453319, 712.91113356721007, 716.54082003396377, 716.6518694608294, 719.61129364802071, 720.63054674494924, 722.1048424147001, 722.6346658033608, 722.73313246127793, 722.92606912982819, 723.27652750988773, 723.76688164996028, 724.62837070165904, 725.78926863070183, 726.70356957548688, 729.53802581291632, 729.74074557612312, 730.64814207737868, 732.26416151568128, 732.55559127358219, 732.72428774772914, 733.07500251251247, 733.15840806623555, 734.37876042530411, 734.43808973680268, 737.28353561068093, 737.40843759497795, 738.05842221144189, 738.08926648049714, 739.61806271182456, 741.68854751883111, 742.60644834638185, 743.85265072855304, 743.96464660051652, 744.68929259494462, 744.77859415958278, 746.26309751656197, 748.57459462556653, 749.5390144513791, 750.96569426971598, 751.44958581877745, 751.8520102980234, 752.16674668247981, 752.29313862379263, 752.60371642625273, 754.44038304925505, 755.01234587982719, 755.72913189962003, 756.67521501789395, 756.98143302250571, 757.41297987367102, 758.06793403475945, 758.93636051928399, 759.0293911354413, 760.05853777013021, 760.27643360412321, 761.00436061831761, 761.82736704013166, 762.36791527918058, 764.41625076578339, 765.19596252703025, 765.58943437402706, 766.22552201455483, 766.46862448124898, 768.04173770992577, 769.42684846515044, 772.82415001862626, 773.09708763031733, 774.52541548491183, 774.94445887886491, 775.28833865852926, 776.00113537335869, 776.41962957749502, 776.86956725643176, 779.13906906982709, 779.15962897329371, 780.12492645704731, 781.09950505866095, 781.72482143721163, 782.11651450478246, 783.06248974172797, 787.25685906607816, 789.34285969810219, 789.48335489240731, 792.56823864847388, 793.72110791329044, 794.13916344150527, 794.76427473209912, 797.21923028699894, 797.47188788103438, 797.60754024349546, 797.75504754697363, 798.3544441914388, 800.43730154026093, 800.85819771310332, 801.69537336524604, 801.77385406709163, 803.34216392873759, 805.39056443755953, 805.59156608231763, 805.7163169037367, 805.80525480676931, 806.33782011116671, 809.00054888656973, 809.41349662347432, 809.52652882394113, 811.16809619863284, 811.25922738220936, 812.8485396181153, 813.26766927612914, 815.85313912809818, 816.33258836007133, 817.18110517090338, 820.12727406010799, 820.56859998200139, 820.66924172501467, 821.73134963406551, 823.59154062374728, 824.28417939311475, 824.45601472483463, 825.00054739637619, 825.6153110757225, 826.00978808879711, 826.31161965413776, 829.24987006899255, 829.53685691593375, 829.98479080472327, 830.36990129544211, 832.38237589841242, 832.49251593718418, 832.77907756028662, 833.35886097958701, 833.52921614262607, 834.26752537501386, 834.67660155606973, 834.91821937556131, 838.46384010465135, 838.57523008114129, 838.62815329892157, 839.97006083077144, 841.10879860789089, 842.12579625785759, 842.91490435535979, 843.23668798565927, 846.0189191130936, 846.55897429455524, 846.82827565318598, 846.87335019855414, 846.93355245090333, 849.1273575405171, 852.94345828609005, 854.99681140551354, 855.04729203001239, 856.33063630720142, 857.23327288021028, 858.15018583819563, 858.82334267036526, 861.02758769229843, 863.30033466464295, 863.72005901630439, 863.81026996431831, 864.04737168514771, 864.58766936590416, 865.98918296743989, 866.13098561521849, 869.35015568416691, 870.77157481208826, 872.30011697229941, 872.41600521392456, 873.64592279082865, 873.98002660012571, 874.22532954159669, 874.67142211198973, 875.32011192084019, 875.72064367174255, 877.53200578823953, 877.90788121818991, 878.12738409752581, 879.01650926922514, 880.75017187701667, 881.04181793823363, 883.1359604092911, 883.58448469351777, 884.02747528402392, 884.59375211496331, 885.19267739620068, 885.59942450380322, 886.36359978437076, 886.40843479269768, 886.72517245770041, 887.64338314664735, 888.20833820466089, 889.58611225615607, 891.43965354631678, 892.44780284596982, 892.77736270587275, 892.97571411992408, 893.35276083266979, 896.21713257136776, 896.49933160586613, 901.42191398346392, 901.88660833329607, 902.42368680420395, 902.56171475563121, 903.37387247043284, 904.56629655337679, 905.58153866406053, 905.7678279650429, 907.39249262549242, 907.90479305639201, 908.09522855536261, 909.15862701258663, 910.05310343001986, 911.01549408823939, 913.35226065378333, 913.73759226492837, 914.91487748742634, 916.16073860524625, 916.3183969114848, 917.98830395461539, 918.40360807976447, 919.8449561163128, 920.96111347092585, 921.8768742299618, 922.50380595411571, 924.38923716382544, 925.37961899999902, 925.68612743912172, 927.66380209711087, 929.44840957275858, 930.31102447218666, 937.44983423351505, 938.12581238145935, 938.46941783543389, 939.12384500513633, 940.43518059177723, 942.61496898857501, 943.01068275209366, 943.72284151447718, 944.42764527183681, 944.92757743104301, 945.18161973317535, 945.44222629824594, 945.72221073271169, 947.23046871832969, 949.35876116373072, 951.95107367222238, 954.59368511898754, 955.19631658980313, 956.97788148435279, 960.31915895961174, 961.18472400932603, 961.21576180704176, 961.56998544977125, 961.71505158377681, 962.29740505185816, 962.54423599430868, 962.58454747624785, 963.76452488802283, 964.15533858831668, 965.7830699335143, 966.46228694349668, 967.34720823966074, 967.65601958169282, 969.05914158146095, 969.57467073672649, 970.50083109629952, 970.83315775076005, 971.15001874428469, 971.24477025266663, 974.32912062640764, 976.28321902936557, 976.42357185463766, 979.15665595838766, 979.89635473349608, 980.72833593507744, 981.31414202862845, 981.74840484667629, 983.59377685169568, 986.73207439894873, 987.53391032428328, 988.55060972156161, 989.48064393546827, 990.17100350888484, 990.89829644584279, 993.02829997884658, 995.2106147697383, 995.64756555640088, 996.40961539726175, 998.08949714275036, 998.3308684425848, 998.46972880551857, 998.55291848067236, 999.1090177214362, 999.41904825901565, 999.50173613690606, 1000.2092679587283]),array([59.667031249138361, 61.984498360975991, 63.31555325370767, 64.724073776335487, 67.103261187551539, 69.657656263565585, 70.273939834961439, 71.555575954135378, 71.608873809330532, 74.594193196391473, 75.171517326940801, 76.1472366097627, 78.478752404058696, 79.758716841822149, 80.831830920607217, 81.122903928504513, 81.686858316166592, 83.229013795068937, 83.533277354466293, 85.135800385082661, 85.482577820216548, 85.857345049804096, 87.809591766426053, 89.867331485086794, 89.909772282789845, 90.418392325058079, 91.016425148811095, 91.671063136236555, 92.317983471299954, 92.809913193664769, 94.646860637112383, 95.105192304394933, 95.605871246666226, 97.415206292217349, 98.404129373994692, 98.439784013642111, 100.37034627022824, 100.89290418204327, 101.35845176615297, 104.88536433498115, 105.28391474793953, 106.21336350238602, 106.94804431341683, 107.9194220028815, 109.24240625290352, 111.64564273251366, 112.07344755982044, 112.15806394661196, 113.45366213952613, 113.82453309015965, 115.98468257842973, 118.51423565611304, 118.8497335175321, 119.26813573640871, 120.77841696339176, 123.87007386512251, 123.94121174206342, 124.32581512961147, 127.67306554275888, 131.49733672609142, 132.04578467580512, 132.54172795516783, 133.07385496157841, 134.8634056874088, 136.05157219523693, 137.11798042044018, 138.09242123766649, 138.60156122891183, 140.18582583757737, 141.68467175837844, 141.94812326408004, 144.14140657542859, 144.72035692464277, 144.85275349158272, 146.88875259396255, 147.04387133501976, 147.20016431828208, 147.65567426657071, 148.8331758343891, 150.5782836777262, 150.82923491177428, 150.97776600301182, 151.48428582023226, 153.73932975104211, 155.42407352955053, 156.36640937039053, 157.48842302434923, 157.93779677691381, 161.58534392268029, 162.20487437797823, 162.7312439924637, 163.66090987390197, 164.5065461145968, 164.55612651462457, 164.61143530209628, 165.1901565775585, 166.1241279658372, 166.72371885282826, 166.9461604709046, 167.67598748803931, 168.21062530104163, 171.46049793017909, 171.66820923608404, 176.17272348264299, 176.63631515104635, 178.15111974177324, 179.12561612828495, 180.3181153003714, 180.47025973290769, 180.90027158764715, 182.32634993064349, 183.99267627377102, 185.98005929285785, 186.4276962132883, 188.38363768616702, 188.930601478554, 190.63186190528566, 191.17935232765191, 192.41105639920121, 192.85839263815006, 194.71880458182619, 194.88576740590088, 195.42632604032175, 196.34925781524521, 196.98128452546607, 197.25478943833144, 197.53139683261548, 198.74123335753256, 198.85583627141128, 199.38643768192566, 201.10019629234418, 201.45257848257455, 201.80955331869399, 201.99845372846607, 202.86069892456425, 203.21402842333197, 205.86713104946028, 207.95371302317741, 209.41945531299083, 210.0811065889591, 211.2479837704592, 211.75780573818051, 212.6813185111146, 213.30352396717799, 213.94742751689543, 214.05986408290403, 216.3626593884141, 217.00276022483865, 219.54258867481389, 220.86375187712403, 221.46888324392225, 222.62722785726089, 224.10273648859109, 224.9729323730802, 225.26550514456861, 226.88246585771748, 227.24761434571482, 227.51994858659845, 229.4575650248735, 229.82345810422621, 231.73657740100782, 232.00336865317769, 232.67834339387926, 234.94257002704097, 235.44151941060707, 235.47861480722193, 235.82516598724004, 237.5298860469268, 238.75228329708671, 239.71610077485383, 240.09363227807515, 240.36338437031705, 240.89084720397389, 241.73536060365566, 242.25481320932656, 243.57621972671447, 243.87060296721867, 244.45083828678233, 244.91516575359265, 245.52473232377849, 246.22289525925655, 246.44094450416679, 246.73520433587964, 247.77025863098569, 248.26167967255452, 248.61124749831265, 250.61667647365044, 251.08027942022878, 251.51489967217762, 251.75933699951457, 252.40953846826491, 253.15936977737448, 253.59895638739761, 253.67321262108709, 255.92534074173255, 256.12992904539334, 256.53866286025635, 258.32123875498712, 258.51865033516725, 258.90348021842965, 259.86629836324101, 260.04716389615794, 260.28243639865281, 261.36391869504365, 262.32989949733661, 263.93686402287153, 264.14601964562769, 264.96449254608297, 265.24712281435382, 265.8336970666237, 267.05269023731336, 267.44698756711523, 268.1055650748483, 268.30850579600087, 270.07685746067642, 271.47045481900938, 274.52258918115575, 275.04963774318151, 275.07661201142929, 275.62323383608953, 276.58877722933221, 277.28439158588367, 277.72098341293753, 278.35663440520642, 278.4452504977931, 278.84765409449722, 279.81219708292889, 280.09212741871175, 280.75761922032444, 281.93021364889131, 282.33056821177172, 283.778542702641, 284.1576914268781, 284.51228907540445, 286.65206171581229, 288.0387517234729, 288.36493103804122, 289.41897239708084, 291.47598538465343, 293.0809850247233, 294.18064650899942, 294.43818434163114, 295.32625277276793, 296.91228689752433, 298.12900411923545, 298.1969737362939, 300.19059911289366, 300.28144025610163, 302.57989891783041, 302.741718147494, 303.87087952559369, 305.39382658134554, 305.41927946330736, 305.94965817319081, 307.54144274274364, 307.61670209901274, 308.41746459969966, 308.82326138909747, 309.1665459732514, 312.06346575642146, 313.35482227887604, 314.03966068544725, 314.73801683466638, 315.28378894367086, 316.41068789917244, 316.49332179489573, 317.73817789118493, 318.13674092301278, 319.53769351391088, 320.80378656847978, 321.36162985720227, 322.3120298423367, 322.81139562527227, 323.59022579800319, 323.91550785913108, 324.05340992219453, 325.17642653356592, 327.1593946639648, 327.7223044182341, 331.02043268699578, 331.51541714152268, 331.76109377186498, 332.04140712383577, 332.31053242613393, 333.22341582142207, 334.43801193546443, 337.80755577498843, 338.34606146603232, 341.07354694980614, 341.5372712209479, 344.94560741008905, 345.72686295282995, 345.88507097706344, 346.20622917445434, 346.80273247267132, 347.91398842753807, 348.29328980293781, 348.46822029938579, 350.79357664710585, 351.48533139877014, 351.86832389472556, 352.48479805623771, 353.29966974133919, 354.54575989706217, 355.11410825879938, 357.93888484624898, 358.17492182007078, 358.43137896574274, 358.74028152739515, 358.87515473364226, 359.27582651444777, 361.49961496205719, 361.78307768341733, 361.89268525676681, 364.38347633014905, 364.59182498494619, 365.20353955001644, 365.86895161682128, 366.69545198532444, 366.72842050183476, 367.57076697642049, 367.93271831442047, 369.29040066892378, 373.04425028524554, 373.38195470690738, 373.41667443050579, 375.68034638125056, 375.76967382078368, 376.0492244698674, 377.77204164066785, 377.79715202030945, 379.72384864917109, 380.30259746484865, 381.99674088571658, 384.39520485378165, 387.19577395871249, 387.72392490612111, 389.9432149437057, 391.98235210866034, 395.55393921282126, 395.98506379139479, 396.96441292338466, 397.91030392968327, 398.78444274794464, 399.08121534498844, 399.80888862145576, 400.55637069340543, 402.58995848873263, 402.87607765177751, 405.70574005727588, 407.92500478259001, 410.09233169689276, 412.06892322182404, 413.74234357929782, 416.63384984969042, 417.66965875467474, 418.46827719676571, 420.6160558625109, 421.11817040094445, 424.46361594567531, 424.73425680953545, 424.83327772116093, 425.12108106813486, 425.61171152821271, 425.87165363853313, 427.39860361063671, 431.82030789843344, 432.02605032735215, 433.07918863752587, 433.27490396007221, 434.04872499571235, 434.39419199018778, 434.57321825743156, 435.01893279420108, 436.726094472829, 437.43072303267508, 437.92049000416597, 437.98459600965731, 438.07421738352662, 440.75470107054593, 441.29790861725166, 441.51162883271678, 442.27486727593185, 443.11361837877155, 443.8603145748653, 445.75713295372395, 445.88132407504952, 446.4424708632427, 446.96015728394588, 447.39886413959431, 447.48481885004281, 447.82475760866629, 448.22743476951234, 448.51946725167483, 449.29449136021276, 449.97249449519398, 451.76726389128692, 452.55827044633105, 453.37612077401968, 454.41602041588754, 455.2011998755745, 456.29137772855881, 459.68544801631919, 459.96807188153946, 460.75896876327846, 460.84355783019345, 461.06504338367398, 463.21884212644386, 463.52447182000833, 463.65361556367674, 464.41432476696474, 466.87853388291325, 467.9920130308692, 468.45178251288382, 469.01696728423434, 469.27230988491601, 470.38539931424066, 471.30430614333267, 473.0323289021116, 473.99604639778755, 474.69618764621043, 476.60311508348605, 476.76149677936775, 478.77144311511097, 479.13471702547679, 481.20074832532907, 483.43032485785602, 484.12659825604641, 485.3210125488734, 485.39631623851716, 485.55556737582907, 488.09347412391782, 488.17258799118144, 488.91963287063612, 490.17808531673825, 491.22270867187223, 491.4157604055535, 491.56732262799693, 491.94505098323532, 491.97914892185008, 492.33244076652153, 494.73947341835873, 495.03387946564021, 495.87708000052686, 500.51544662513004, 501.41821953091755, 502.6253626408166, 502.96078264279384, 503.41323214915047, 503.9064223521076, 504.21892033227681, 504.76362646116701, 505.33035260317462, 507.08990612881814, 507.25434907814264, 507.28331804952791, 507.44882729222877, 507.77263161831502, 508.06472234777266, 512.46099816608375, 513.87141752615059, 514.38889930019843, 514.46131137142743, 515.10689471865203, 515.52919486239125, 516.84871980392131, 517.62679315633693, 521.11459992613709, 522.71726398005285, 523.4348167857745, 524.67984168559667, 524.90906396735284, 525.06980912486927, 526.86099933798016, 527.15032143500582, 528.66361227008849, 530.74247572774743, 531.37747288741286, 531.50369061685387, 531.91820653964362, 532.53671318469412, 532.72568812618988, 533.46015205266258, 533.53893401378627, 535.31400890691668, 536.36591440393386, 537.85584821218276, 539.19230678733959, 542.67919665873239, 542.91898249448252, 543.51199142686005, 544.53373847067269, 544.93312254506759, 547.36073275630895, 547.70577254834905, 547.84772638599168, 548.92518973802328, 549.15520869429861, 550.34957661727287, 553.51126012664974, 554.36421302906297, 554.65291412132945, 555.21102754833055, 556.33959160313429, 557.37018193348683, 557.61350417156552, 557.73623527112125, 559.14386584723104, 559.25176899042413, 559.99440840354919, 560.65648363190303, 561.53224086871398, 561.89241422969076, 562.08695131255251, 564.11987936712205, 566.18604752368844, 567.12894777098143, 567.26815371960026, 569.71914407529061, 569.9284553075928, 570.27561309209307, 571.32599211644379, 573.06176997380464, 573.23685702388877, 573.45178548697311, 574.21305698493279, 576.74164679206945, 576.77542272541291, 577.56537358568642, 578.49742668588203, 579.93400115081772, 580.39498323924488, 580.45654353149394, 580.90675398219582, 581.82569233699758, 583.25089754789394, 584.70332516113217, 585.4451595420453, 587.15385688859351, 588.75763791614679, 589.21046613480519, 590.17070149716528, 596.08303393826975, 597.05248515260928, 599.92250556878514, 600.09737142216386, 601.07772061727144, 601.13142962170741, 603.18825139342778, 603.73849531695657, 604.37975339514355, 607.01322887168863, 607.32939824694063, 608.12344809610431, 608.2161671433737, 608.56632307144821, 613.31487962627671, 613.79397114422932, 615.56137161207846, 617.18881014587475, 618.56441882278193, 618.7022570630254, 619.60487146509411, 620.3099428915142, 620.43257653478611, 622.61800180269995, 624.11337943241551, 624.66351109837319, 624.89974588179848, 627.27694975867939, 627.71799377140678, 629.97067385898617, 630.96851464719907, 633.4692037864495, 634.09532170183707, 635.65558541557698, 636.00349277516273, 636.10695525815436, 640.05909653311494, 640.17332059392436, 640.25945045400863, 640.59921608914647, 640.62357342607493, 641.31829605051564, 642.07334186258095, 643.18274801488894, 644.06764486773011, 644.38900736069934, 644.61998280934085, 644.64920858503979, 646.99987117653393, 647.81692082468817, 648.90313205006282, 652.30383701199412, 652.48416384316533, 653.2118426420883, 654.73449739351929, 656.032387358091, 657.17524619368658, 657.6301387818736, 658.40254010725505, 661.11644009901715, 665.64648795655262, 666.20175093327543, 666.60492810159224, 667.70481732048654, 668.96920403960996, 669.0950394195753, 669.40889198218917, 671.88712831628311, 673.07886309549008, 673.34367653200457, 673.78299005628764, 674.83020167235259, 675.34770890335164, 675.8434328932284, 677.41530202717945, 678.77303815545474, 679.00649684161942, 682.69250645584702, 685.39887406732817, 685.86163669697089, 686.76650483128299, 689.36951945102487, 690.09936324356124, 691.70340610012806, 691.92682075849746, 692.00230539195752, 692.45947230338777, 694.27471907813776, 694.50249963242788, 696.70420267785698, 696.87592281690081, 697.48063250725181, 698.73913385009996, 700.6539587993052, 701.15041902950338, 703.48182404229806, 704.36819112820717, 705.343726719134, 705.94720743819835, 705.98767768966366, 706.99654422640037, 707.36473937822063, 707.49919719998559, 710.23205193510614, 710.43057166595361, 712.08110268239523, 713.36526644814228, 713.60400733402901, 715.37239517262174, 715.96586013127524, 716.33141090785955, 718.09223754871687, 720.39708606303316, 721.46039598776235, 722.63347815085831, 722.77393033799342, 723.13641912409309, 724.28165361995264, 724.38361453446237, 725.39974440994422, 726.98474178317088, 728.71537621721097, 730.18155478262065, 731.05775149640226, 736.81734663898044, 738.11986592756989, 739.57282347485148, 742.36169578729357, 747.2229217900956, 747.56036836414933, 747.59736364907826, 752.89248630219993, 754.62205062717703, 755.29944580510983, 756.04984718350784, 756.19331499607085, 756.88797187573925, 757.48742856344609, 757.57688069152402, 764.87449640605371, 765.47709900371865, 768.46651742475774, 769.25589657427759, 769.5361500743594, 769.59287412105914, 769.66323567307472, 770.25460487474425, 771.78069650616237, 772.98671024275677, 773.99656067690466, 775.54997009480894, 775.88513170560066, 777.64352885222843, 779.14369168560029, 780.04916498490502, 781.69364223721129, 782.19967486897428, 782.73864065655073, 783.24180979687037, 783.6199491248243, 784.68632248080735, 785.01999958206125, 785.71208995020731, 785.95954030589803, 786.96403106143919, 788.60522757724425, 790.27870812027834, 791.11538178307671, 791.57587185265993, 793.69638414840097, 793.80075398889744, 794.04143385663338, 797.4654203202582, 797.65355617149748, 798.83562049183172, 798.95193839912758, 799.00958939244435, 799.669285414927, 800.41681193804925, 802.62447094883225, 804.0527315601048, 804.09692291229351, 807.79379298024651, 810.33517165565638, 810.98279953537678, 811.06298466403973, 812.94365167465844, 815.94988231006539, 816.09483139475844, 816.47143784225102, 817.56614801285252, 817.90621037759456, 818.752422841373, 819.40820623745935, 822.17852631173469, 822.38024465683418, 822.90917385600858, 822.9515521771749, 823.10146332434715, 826.41072150854302, 826.94875931707247, 828.48425497741903, 829.2645085108951, 829.51405123204938, 831.13711904841227, 832.88416344676193, 833.68870347848735, 834.67154205082682, 835.13693710861094, 835.96751727188916, 837.08375513527199, 838.23783400699983, 839.07298626940531, 839.54037564285932, 841.17543998315455, 845.0156043829079, 847.86332868836394, 848.12145746366264, 848.63143259487072, 848.75063183552891, 849.58662202464984, 851.41198352333083, 851.50538527741355, 852.44822136188031, 852.79357784049387, 853.41924381131878, 854.77771340991671, 855.58042496029282, 856.98749216377905, 857.83433770300951, 857.87259065234127, 859.28750482324381, 862.16933602137271, 862.26382325304337, 862.59689261086442, 862.73614944216126, 863.03961890208132, 863.41115463045458, 863.97537392227537, 867.63032561293392, 868.74958023350734, 869.17382681493871, 869.25078991291889, 869.56899104048205, 870.2714353869917, 870.30988396488237, 875.85825890116644, 876.04719883270161, 876.36706310056002, 877.09572826212752, 879.69658157892911, 879.7778066285905, 880.82634793925456, 880.92898788130663, 882.70442898547253, 882.88496051069376, 883.22096984495397, 884.5990447922311, 884.74852299052668, 885.04533936501252, 885.55305310357869, 885.82900018094983, 888.28564465314219, 891.72437540507008, 892.19716568668446, 893.10817806848422, 894.2213053009782, 894.82674914098288, 894.98766547599894, 896.56468182456547, 897.1494413355299, 897.20339077652136, 899.30810853121113, 901.12887332901403, 901.42514151327043, 901.47915612241513, 901.68405300000097, 901.72258013129499, 902.51766186216446, 905.90069973488619, 907.11803924611615, 907.60370612489544, 907.73374616730985, 907.92395027713962, 908.25121010312148, 908.81063346088899, 909.67146666517363, 909.990620697846, 911.03636811348076, 912.57398736276616, 913.23010139919711, 913.32587059177229, 913.73666819517723, 913.8480531359545, 914.48823325118053, 915.97120108791853, 916.46586308666963, 916.94774389758845, 917.23290717675889, 917.70241134838977, 917.8661022001852, 919.07163051442024, 919.53116883417852, 920.12834639822415, 920.52173165614352, 920.5857547073623, 920.90273868098018, 921.40765291342984, 922.97583505710088, 923.14706581582914, 923.76301073412162, 926.09317883065808, 926.45539061679528, 926.51911753200773, 927.25889801418691, 927.83083655167388, 928.05880487554532, 928.08531417117445, 930.0908365076682, 930.37843889506132, 930.82739779633391, 931.63701204272843, 932.09631060437437, 932.2356379404838, 933.66084725926714, 933.86909862185325, 936.73913339019202, 937.79401798747131, 938.06145520546079, 939.24381031542976, 940.55952409305439, 940.60086285031787, 944.43245854753297, 944.64499640272948, 944.77424681672983, 944.83702743938113, 945.80738456608697, 946.61556280467221, 946.87888427869484, 946.95145321774578, 947.07814055974552, 949.45587764545394, 950.39404410411294, 953.56902998246846, 955.78719890924992, 955.83216314195295, 957.33447714150032, 957.70570451220738, 957.83540885686011, 958.55746278193237, 959.7622933513984, 962.34446253649423, 965.02160585211811, 965.50591722423053, 966.65987019162651, 966.98090166762245, 967.85248824183554, 968.63179464770531, 976.50845375929373, 977.26687255015179, 977.75434212090124, 978.30667717997437, 978.59183579679677, 979.30392488789016, 979.54132398283377, 983.81575125166523, 985.11047791148917, 986.07764251883316, 987.56907961360741, 987.78875109600017, 989.84301857214791, 991.52267297200149, 993.14488600712411, 993.39246474236722, 993.68188952891057, 993.72154879966763, 993.74538465195485, 994.17354904778074, 995.60902362568595, 997.23249989818237, 997.49763119366389, 1000.9228776464731]),array([21.512029505854425, 22.336691520333368, 22.390740620906126, 22.443859807160955, 22.59685205284099, 23.505151062006899, 24.378099466659275, 24.800051353894368, 25.496280321912021, 25.765173278910666, 28.0711704773137, 28.474263551293323, 28.549849355334185, 28.677940941797708, 28.773001123551552, 29.031023058187227, 29.166554419432209, 29.232318833724904, 29.93245352409383, 30.681384095241487, 31.342220835072901, 32.638418295133711, 33.161752539774412, 33.438000337419169, 34.360232467036759, 34.78941508058675, 35.023677911309605, 37.317043543737952, 38.105995551722835, 38.655597457409733, 40.730482824772167, 43.385124827597039, 43.716055956813783, 45.59315298465657, 46.414294902570177, 46.942714723878282, 46.986687387876678, 47.025806168275942, 47.645470500577304, 47.773290695875133, 48.885418150492562, 49.696803115934593, 51.412390911180459, 52.241905155601685, 52.346070438582117, 52.62582792321723, 53.949358659248261, 55.557187557168881, 57.644384284296315, 57.818461229921006, 60.493329411798619, 63.948824667198657, 64.972424566365319, 65.512818136012939, 69.347480336055355, 69.658520013695082, 69.680857916073336, 71.798255083659868, 72.84182739346987, 73.345057463275324, 74.061515576640346, 74.725574160299672, 76.541696100748425, 78.341830269513238, 80.637576546184832, 81.660558163190132, 82.196917648570391, 82.676374895386715, 83.202828918184522, 84.189167964413187, 85.578048564165044, 86.076667380445727, 86.100443761351755, 86.915610633084299, 87.990077017069851, 89.183107043633484, 89.755193009591039, 89.930014265663857, 90.778984976790554, 91.488548452508539, 91.979982145098589, 92.743947318154696, 93.797481369310049, 94.803108526451183, 95.67154684743079, 97.325490742815646, 97.513755505362155, 97.985415897173226, 98.189619852150884, 98.523959078838615, 98.8141375579212, 100.28589472477714, 100.76623498798453, 101.26755503908376, 101.79447946960127, 102.67789798924683, 103.28343720921504, 103.78673002871236, 103.8469898280842, 104.99014019875094, 105.32781974937105, 107.2310164071683, 107.47299032017619, 110.28469740096592, 110.69570743269661, 111.42070457930343, 111.50080224604517, 112.50142840903902, 113.39006400706309, 113.83952995780609, 114.37141880869102, 114.98782917635498, 115.79783270436945, 118.44060219060377, 118.51393080956514, 119.34990301130603, 120.83330574303912, 122.43357708745211, 125.66272575142497, 126.70487390471401, 126.88742043256842, 129.84459990519767, 130.73910530379959, 132.75777774448909, 133.07773541872194, 134.29582358958777, 135.18661176497014, 136.06063449718764, 136.83187660242552, 136.97718694381481, 138.32950652054498, 138.93241215788058, 139.02399600686266, 139.23177122134911, 144.45376621280437, 144.54882479954912, 145.46108228905996, 145.88231256189823, 147.39222763460992, 147.48750605217472, 147.56686669378709, 149.80599962189527, 149.97113819294427, 150.53073495131503, 151.02938406290255, 151.19256189511847, 151.26413547136369, 151.93583101915368, 152.12883167926839, 153.45960631873538, 155.15626747536291, 156.95803767515585, 158.49432769748006, 158.68638857164876, 160.38083689580918, 160.82982098068112, 162.92365412454731, 163.68267812399179, 165.14968814401098, 165.17670527958089, 165.81679327297462, 167.40893367277573, 167.83998594117861, 168.35842062022058, 173.47295737784799, 174.89057881050249, 177.35393300929431, 179.92172700631494, 180.19224971687345, 180.63208947006007, 181.64985397724149, 181.93578841960689, 183.93961753922051, 185.47504278955702, 187.99834440328087, 189.33535857238721, 189.38598113234036, 191.72715734846332, 192.81818930015518, 194.96745604439798, 197.29382865931029, 197.41034425901537, 197.49446285470182, 199.56151671355562, 201.23016897999611, 201.48146266416657, 201.78935688398013, 201.83980812368421, 203.17324656489558, 203.39615365237455, 204.5954872608921, 205.21378679133113, 205.73685949576284, 205.76220124967051, 206.59715134885619, 206.71928990036523, 207.31181560478146, 207.75146453539966, 207.83408407497268, 208.69027424436948, 209.66154782905429, 209.70843946040111, 210.63570588183245, 212.23273119620131, 212.31996223424792, 214.80606397570918, 216.06365905346101, 220.8449660397491, 220.91006692615284, 221.19249902499831, 223.22697213559508, 224.98319733959372, 226.49343765004261, 228.50739213657528, 228.75137218051938, 229.54636842389795, 229.64894505860133, 231.64458826875455, 232.07964234691451, 233.3272755680951, 234.65675699237056, 235.32458459544793, 235.4425558781154, 235.75300594641249, 236.5117132041924, 236.77542920148008, 244.40947660019731, 245.61501752221886, 246.64780185139617, 248.6255848570251, 250.42974200831782, 251.08705789860247, 252.07696415042486, 253.08442699044798, 253.15888393717808, 254.1982237309048, 254.97608751338379, 256.22843133343207, 256.37249236736329, 256.43658151467474, 256.67815121276169, 257.41213733446307, 257.59761851070783, 258.28884227839723, 261.31700942114225, 261.81278827263918, 262.82379781904325, 263.27301070678982, 263.9973888574155, 266.97434987610842, 267.83231094709311, 268.34550915458618, 268.36692898440714, 268.93655417689416, 269.16765249604248, 269.3045286980817, 270.53674039045899, 270.59912575507559, 271.16854116785618, 271.29557416558606, 272.70219840638731, 272.74964392493439, 273.22209066686855, 274.40170998650535, 275.7291310760271, 277.51915703778383, 277.94451982122695, 278.4368214783139, 280.52376862587101, 282.3282868572918, 287.0892035137295, 288.04504083948649, 289.48395018095869, 290.15850912480045, 290.34480218037106, 292.98620131372877, 294.66399827716054, 297.30167612686387, 300.75300364999646, 303.12538554885242, 303.39043902696409, 303.79236933505138, 306.59563517882793, 308.93217337655432, 309.28577196272551, 309.98449487273786, 310.0351939688419, 310.11724797394959, 310.6918308814835, 311.97644023011213, 312.44458608124296, 312.50260346000528, 313.08713206292128, 313.93269124126988, 314.95903191818803, 316.55119540845101, 316.75707595812094, 318.3254167082714, 319.49299313355016, 321.2461038469271, 321.44235970039489, 324.54632548523585, 324.67858449314468, 325.92027826297181, 327.85097498208256, 328.3243313304863, 328.79641282768603, 328.99378818777103, 330.53102260842121, 331.24546217279709, 332.46223909866126, 333.2638265323863, 334.90511771868455, 335.1625606372076, 336.00652632954638, 338.57930612742649, 339.39850377650049, 341.04403748512522, 344.72790078516636, 345.44867390195884, 346.48705093134083, 347.25388123539784, 347.89981076552294, 348.01310335868578, 348.35158486858023, 348.99427389023214, 351.84708524390282, 352.61464928671643, 353.47330481123612, 354.84733729446765, 355.17975336885451, 355.22796552123174, 355.34379305270846, 357.70469715712051, 363.49085154448466, 364.04780289142673, 364.35527850718518, 365.43460087133082, 365.4811351666105, 370.22689602769611, 370.24968487972706, 370.82136583999443, 372.30592753121027, 372.70303956256777, 372.85611617818057, 373.16305318671806, 375.35101765668969, 376.01409214506879, 378.49497745112291, 380.54155382727629, 381.06550907380887, 383.46387778055782, 384.62709734084916, 385.39395479313669, 385.43012772942137, 386.65167572496478, 387.81324022832661, 389.03887012626166, 390.11520273024257, 390.23125801696028, 390.84840252919065, 393.43308623317421, 394.46605709647434, 396.64708156873792, 396.87018391186342, 398.11320199414291, 400.3989546666441, 403.34339355980717, 406.45241148064042, 412.82867189268893, 413.6621864345048, 413.74984151635442, 415.09966914976985, 415.77700572703759, 415.86339303471311, 417.00786773732239, 417.77729953762156, 419.68821620260849, 420.27220357798495, 420.32688497892786, 420.95446373214912, 422.09793030915671, 422.39642026402402, 424.672778901198, 424.70279995071525, 425.05537374662737, 425.29111738528422, 426.48729938635313, 431.58000372457303, 431.81994315798039, 431.98911979986349, 432.94942289807869, 433.09601411414405, 434.10846980148352, 434.1381841744506, 434.9674497282507, 436.45202778374238, 437.35582222536942, 438.96510156443816, 438.99500752207638, 439.28925846473584, 441.48741867467965, 441.50773667199553, 445.09808568452326, 445.52164439291732, 445.84249466328748, 445.95573773958392, 447.71753127640659, 450.25889405386454, 450.30262187235098, 451.50920537743337, 452.27140176736134, 452.88747943702754, 455.77990926852863, 456.09707498346529, 456.13418055341185, 456.16181154891694, 456.52931629916282, 456.99501411227345, 458.76297740534068, 458.8828862825041, 460.53086512616591, 460.72714655833755, 460.81157983786454, 462.01925420630505, 462.82772717373626, 463.06317632268468, 464.06579730002204, 464.37961009702008, 465.68821505923415, 469.00403421840923, 470.31138129422919, 471.22012911448525, 471.25636571714836, 474.59522388708479, 477.14512121809679, 477.4628304805147, 479.9189499350631, 480.35453294251136, 481.32983917829637, 481.96614081909684, 484.54695226991799, 485.21253277531679, 486.80993308058436, 489.92492139128086, 489.99348023836296, 490.89880506634427, 493.13394712639126, 493.18314428760345, 494.04689622232331, 495.93231668707159, 499.82539915378112, 501.9262673774337, 502.09496075366803, 505.99540074675735, 507.45422300858638, 509.33225971439703, 509.96156979718461, 510.8348855659961, 513.4320303580007, 514.60427182910337, 514.65543857136015, 516.90848702310609, 519.77734855144377, 519.93149212264359, 522.575892312684, 523.86989640601041, 524.29356050907109, 525.78148257406383, 526.24954392423342, 528.44107540747063, 528.91675853389415, 530.20696888475447, 531.40164681741965, 533.06734789707934, 533.89270437469622, 534.78413998602275, 534.99604446857279, 535.05916986095326, 536.41913628436396, 536.91490848304613, 537.03960999328092, 537.41646306217956, 539.04426137324185, 540.891814257786, 541.6370740698585, 544.48664296500237, 544.59658419130199, 544.97172896552195, 548.45090597859246, 548.89726729702295, 549.63538375652968, 550.11099974778517, 550.40989099266199, 552.93040283195626, 553.3233063924805, 554.29513719714203, 554.97260561868131, 559.36320506302286, 559.91517031567832, 561.40754574532025, 563.10588350672992, 564.24685451600635, 564.5492236998316, 564.72203926613111, 565.6129807015966, 566.54345674161675, 568.5389268506982, 569.49953984228614, 569.86832497916964, 572.97103459511413, 573.55781764523283, 576.3177398256787, 579.7812721891969, 580.11079491814553, 582.14735717698102, 582.63517902404499, 582.86288655761416, 585.21508577228906, 591.47756777599943, 592.66040662292755, 592.75646296497075, 592.82226303403525, 595.36478108515144, 599.18636747567382, 600.24065783303831, 600.59511131647082, 602.45567723259819, 602.76290823784677, 602.83613494258555, 604.01125455133467, 605.13922897245118, 605.23374001021614, 607.58529888548492, 608.34518194736381, 611.71439106915739, 613.5310138190307, 614.1606486200734, 614.72186122509288, 618.11594444742366, 618.91007605137929, 619.9720818416547, 620.07504268981654, 621.15759864613028, 623.03230963282613, 624.42688875373005, 624.75883318017702, 629.7644318067986, 629.86304007487195, 630.51403229516882, 631.39883376783143, 634.38662684602184, 636.93471262663888, 638.53348815242725, 639.00731457876498, 639.76972162629124, 639.90274675006867, 640.70507241167513, 641.70134911199102, 641.76837871259863, 642.20241962114562, 642.22495523442296, 642.25784871557482, 642.44701137019558, 643.03782822790902, 643.48287398090713, 643.97556116037833, 644.90663166622357, 645.11469005990341, 645.68007341420105, 646.73710446637847, 648.00230817704801, 648.75976171044704, 649.90351780923822, 650.4596321149653, 651.81025716020417, 652.55686425539773, 655.84196061964008, 657.73943899700316, 657.91493218795301, 658.19138557973474, 658.39020560367794, 658.91104371133827, 659.98187616486769, 665.09412845101201, 666.12938817018687, 666.2445756671641, 666.27664325715421, 667.86928508192489, 669.75957006089038, 669.85288058734056, 670.20498810687661, 671.13672769110894, 671.76223701868639, 675.37319939160591, 675.71950026926493, 676.49667436391678, 677.4161507020749, 678.61612898216117, 678.68869267374737, 679.36034437538319, 684.66784174297004, 686.37801282672535, 686.77763730369361, 686.88729399910142, 687.38662500840519, 690.30806499397318, 694.43937462490624, 695.08113595838734, 695.64886528293391, 696.74445346953462, 697.17083370277612, 697.25147675727726, 697.76380777445968, 698.65591878289911, 698.94187275350032, 699.72430671339748, 700.75087777862962, 701.37193518695608, 705.04896608727393, 706.89839450675447, 707.23323449745703, 708.9394029549112, 709.01391422861013, 709.39049020296238, 710.31768355407382, 710.79669007968312, 713.39905706711522, 715.1880786988396, 715.73495365532358, 715.90861982938998, 717.57204777828281, 718.25109262470664, 718.79654329560572, 719.80212664683484, 720.54720849303351, 720.66371243747619, 721.10082937754214, 721.86186548046192, 723.81369132252269, 724.25288097612076, 726.58057476768488, 727.50528309960669, 731.35963144309198, 732.0689047696975, 732.41462424618044, 732.85938438300241, 734.38481626831435, 734.43028798280704, 734.73338803569936, 737.70025020896946, 738.02626576159344, 738.21601902021962, 738.44663885575062, 739.88505423547281, 740.20700633023046, 742.09753115971876, 742.38846514903025, 744.86157331946004, 744.88579662143798, 749.99861190873128, 750.51390337336898, 751.55101599122213, 753.88403213712331, 755.00174821342603, 755.20498397779556, 757.72392775068454, 760.15709937604061, 760.55397850868724, 761.49075892503845, 762.15683707273899, 762.44634865997909, 762.60511159345356, 762.95939679180401, 763.44118707820985, 768.03044500029171, 768.1098242165715, 769.10223542687265, 769.83324680766282, 771.1090410025555, 773.46192624423099, 773.86754986908886, 776.00836597649823, 776.78428160330338, 777.55552390349817, 778.37696660530469, 778.52823662830372, 778.56014970112869, 778.88792857699491, 781.8524496976429, 784.49301132315725, 785.47504355367505, 785.92460942370997, 786.14868791452147, 786.21609947315096, 786.66554931714847, 787.25241528306299, 787.46543685444647, 788.99109244163219, 790.09374927635793, 790.12228688160417, 790.33682436229049, 793.65978177055104, 793.97311979285553, 796.18184082326911, 796.45848096632676, 797.0560456676933, 799.3649183926442, 800.0303423761203, 800.19662024941704, 800.71510696071925, 801.08490915071866, 802.00758081178719, 802.1207405913957, 802.44893001467096, 803.14170709898031, 803.81029887890986, 804.26318216914103, 804.89129133991639, 805.7966562588681, 805.94053727699202, 808.99685822693186, 809.73058778349218, 811.75474162789317, 812.45220212029915, 812.49044884634816, 812.69684889980465, 813.32149292698728, 816.27374657761175, 819.04083300490868, 819.35650069738688, 820.91680175755846, 821.06926019109005, 821.96896761087817, 825.14385164813257, 825.31230772576873, 827.09371413964766, 829.22733128637378, 832.2365115433247, 832.89447800374364, 834.41619947695938, 834.7094065359878, 835.26098940565623, 836.06567930017241, 837.04437793047236, 837.48224122654347, 837.54682997838438, 838.87583121621162, 839.01896371833629, 839.62232967322825, 840.24965361871273, 840.73438616192482, 841.83134368081869, 842.15476148326809, 842.30540953965328, 842.68246584658675, 842.80362548004496, 844.91184917482076, 846.79420598284764, 847.34028239836437, 848.20416291816082, 849.94147062195611, 851.06576645578878, 851.41758353981243, 853.62275950323044, 854.41676279332137, 854.95854652801131, 855.10248122414737, 855.27862594509224, 856.70425630850775, 858.43460715228412, 858.47556938381786, 858.84909427292382, 860.18227740014811, 860.44501124335716, 862.0885191211089, 862.72831240435551, 862.79682650953305, 863.30647617154591, 864.56860864561429, 865.23866571331405, 865.99780199907639, 868.80515407363862, 868.95630680994395, 869.71372075727618, 869.80228079900519, 870.06172208065709, 871.29015087227231, 871.3616853283296, 871.91122161172598, 873.17943291765016, 874.38899015417451, 874.9341799338905, 877.11673159166935, 879.67488642578405, 880.36237560112409, 881.31000237208764, 881.90110472449976, 883.24271658793577, 883.52735217076793, 883.55605455460295, 883.75293638280846, 884.06352116940207, 886.17561130347428, 886.69067683538174, 887.98205987617598, 888.54840044264824, 891.54032365520072, 891.61076008891416, 895.73434563109845, 898.17200790556581, 899.80242953112122, 900.47675179472208, 900.68631619243206, 900.98509516167837, 901.11729314917034, 901.23256153230966, 901.36555865665935, 904.8473870348455, 905.40465745752397, 905.43319791512317, 907.81496537234807, 910.9048710764414, 911.02592752949715, 912.2700802302877, 914.26068050927267, 915.21784365756321, 915.24912126228901, 918.0506086093767, 918.52980336174642, 919.93924631283573, 921.28018317008321, 922.3186670518644, 925.07901972727348, 925.57618174851734, 925.95253496127964, 926.16796893278354, 927.45085479902275, 929.20340624612652, 929.28046132307099, 929.94129437949982, 931.57344013040245, 933.20273225591666, 933.33121875245229, 933.35409486137905, 933.43804836499578, 934.56555556305796, 936.69231953925021, 937.20069268695943, 938.03104993160741, 938.43209334206119, 939.29977004633975, 940.69060250497319, 941.77515924438524, 943.48984372472171, 943.5720231885274, 944.06431842749191, 946.60108844988542, 951.78525054861234, 953.72612477279597, 954.8609568233444, 955.13124945247159, 957.02436931071338, 957.43517519929605, 957.60468076231621, 959.91038167157421, 960.32154140703597, 960.53815789535633, 961.91963238831795, 963.63044518394986, 964.04155865311168, 964.64312015837231, 965.17345105665186, 966.94811308847466, 967.20400138931359, 969.49217631972238, 970.23952998359368, 972.23657802033426, 973.52059048633203, 975.07354281170205, 977.38486505867581, 980.48781718550435, 981.03678995204234, 981.0621880280795, 981.55064831356549, 983.24937001762953, 983.41124664160691, 983.99361836966523, 984.11627122505047, 984.29365149804744, 985.8018128814665, 986.3029063867383, 986.52452486965785, 986.93088682002349, 989.71959230665379, 990.85699414258681, 991.16218688605682, 992.02409520387801, 993.51954363027505, 993.9877140379557, 995.04972746002977, 995.33768051733625, 998.91546120221506, 998.96107272830568, 999.22018328634408, 1000.4786399663407]),array([5.6542879365126026, 6.3053080658681653, 6.7322290299715668, 7.1017997498769256, 7.8153189832923617, 8.893134834155731, 9.1000368742679854, 10.712111340198792, 13.819825444287876, 13.952117557127742, 15.55751904826079, 16.724107087357496, 19.184395931453675, 21.409422103332687, 22.920881523444148, 24.452578427377535, 25.500828779030865, 26.108864108902047, 26.248402132243484, 26.704936559277265, 28.669085860847417, 29.354091567992278, 31.041216152356892, 31.676279024794347, 32.091202276558143, 32.375969277885389, 32.693487292714643, 33.270979024298825, 33.978734171868766, 34.043352426062476, 36.269601752981934, 36.431491678787197, 37.02866404255284, 38.343533944315965, 39.042024073372261, 39.231804246394333, 40.378223811197095, 41.049918900725835, 41.105487352429073, 41.178690107626871, 41.238798150891064, 44.099932617382777, 45.386162194360715, 46.703336516637933, 47.177757835037859, 49.912496258817924, 50.09207836438236, 50.587386979842208, 52.350338700077522, 53.62134240860123, 53.801569929078973, 54.361919112308392, 54.793307923281091, 56.011510004663776, 57.14821453620052, 57.499053392275499, 59.205831641940769, 59.903992725735414, 60.956739005938459, 61.144778077417691, 61.297137685838898, 61.758977458041308, 62.080345925550695, 62.387424584929931, 62.656949867364553, 62.74389245930081, 63.808719727436447, 66.05078340283336, 66.48432800344608, 66.977462836534826, 67.399365539289803, 69.422170535046959, 69.562870512039964, 70.267483360586709, 70.97414082020552, 72.998918653744056, 73.21662143323563, 73.381013411761444, 73.407791875499683, 73.880477865044327, 74.597283811502734, 74.916498084570392, 75.634364497523933, 76.728760089923824, 77.088192982070709, 77.439812515007304, 79.102816947162808, 80.151307041281882, 80.568197158871428, 80.932331856124051, 81.317053921364291, 82.479615288053054, 83.18227346908678, 84.210006209656726, 84.870943964142725, 85.131380544528923, 85.879988477912207, 87.013137605166179, 87.475675322995215, 87.854673632325031, 88.309104670312436, 90.100001802470274, 90.430448848142191, 91.047483626815477, 92.218120449918203, 92.385241235634439, 92.735109166527863, 92.968974969085906, 94.072149989580979, 94.841264988659162, 97.867863885963672, 100.97472574098198, 101.03052790975113, 101.07663680628235, 101.37600165248303, 101.57963561930771, 103.94724851458355, 104.64613693505473, 104.96535658387604, 107.72876512338742, 107.89222532647263, 108.84088870957652, 113.34721462539906, 113.68975519532181, 113.77516360005239, 113.94462459008186, 116.08143749493371, 117.02101398886667, 117.07261343622747, 117.79348266770759, 118.8855369350794, 118.90963566877393, 121.23762022531808, 121.83981158331075, 122.95807511610867, 124.73590873512725, 128.53058823618625, 129.07448371603817, 129.7015301039404, 131.46206174280292, 131.58953930728151, 132.10784436932482, 132.17934201967964, 132.49482356015548, 133.6929822623097, 134.56362423828932, 134.64050554047236, 135.62225681762561, 136.11940838602035, 137.49712017476455, 138.75160146275849, 139.17434403062398, 140.22233648974097, 141.10101716573456, 141.31687876589538, 143.98531306753938, 145.29215041450232, 146.69592433026042, 147.67584185715361, 148.60249170017411, 148.71157794717072, 148.89961546561506, 148.97502347831298, 149.12939779200596, 153.84403541568852, 155.50450246790871, 155.6687268091886, 156.91990709366905, 157.89920156113175, 158.6911782555359, 160.66605277275585, 161.16773561148693, 161.71947293181151, 162.62250806842076, 164.40557733155541, 165.6363590119509, 165.87903355617041, 166.62239274890129, 167.87081572572839, 169.67867429165079, 169.70875724857339, 171.8340457661663, 176.03174495623361, 176.88742659221094, 178.30623358190084, 178.98816739569685, 180.30503795104929, 182.21023969165, 184.17570146724739, 184.31839150750531, 184.78341472342569, 184.8926943150841, 186.46102567021518, 186.68211703484616, 189.34866351963905, 191.76844892186409, 191.87586518305986, 192.64578615846696, 192.74683261057663, 194.83049858807922, 196.75597846423176, 196.85109565749235, 197.4274224321656, 198.22247328946949, 198.39963822085042, 200.08991811637992, 201.55131349983807, 201.68760873673946, 202.21274190081414, 202.25136212206556, 205.64671247549771, 206.66201189064495, 206.94504934654236, 207.01640953370176, 208.8835216056774, 210.64545670442754, 211.55274093554124, 215.30125279546056, 215.50601260189256, 216.32651882844107, 217.75524068685255, 218.3236093810207, 218.37097642792315, 220.50729754845983, 221.21009527414327, 221.51612280412385, 222.93312522505158, 223.19533534066736, 224.56126131179869, 226.71191613169256, 227.36294512277627, 232.94505973821984, 233.17568945994196, 235.47501285333246, 236.99225396834458, 237.48158860152233, 237.9183792969734, 238.47183187002022, 239.67925799160372, 240.66734312524736, 240.79381795838029, 241.94034070607589, 242.1223664533087, 242.97455867319798, 243.7723183218406, 244.28849513921506, 247.15458122781112, 249.93360485541811, 251.33209939978786, 251.61291463473782, 251.85887645660577, 252.39264098050111, 252.69117640424662, 253.04670180597191, 253.10910122380494, 254.60492190443082, 255.59230468432517, 256.00873860309071, 259.68695568839598, 259.77657297189342, 260.83016169705547, 260.98311859476564, 263.33385334986235, 264.17027811328927, 265.7757569754371, 271.01250332331136, 271.53078069555067, 271.82365758908912, 273.22960713391154, 274.14118138218549, 275.97262683028885, 276.78799351482212, 277.49975285482441, 278.31400842890548, 281.34168449421799, 281.79800327411596, 282.33643579547686, 282.65307282654942, 282.71830680590705, 283.62189614422817, 283.78037332637757, 284.64086165890291, 284.89960408550093, 289.51704383930479, 289.87499757018281, 290.53868025239308, 290.67355117738242, 290.89952686688969, 293.19898349536578, 293.74270981808633, 295.10724097349851, 295.19002723790049, 295.33997884155571, 295.45091173397424, 296.44967506882364, 298.36129000628091, 298.42026400901551, 300.08096602944852, 300.98197069815097, 302.18269514637433, 302.71476938112619, 305.33419423456473, 305.8174921830701, 305.87232865195097, 306.11897059092229, 306.3312249577516, 306.38382992622797, 306.53725528919989, 308.24118113827274, 309.40428788832662, 309.88714573853451, 310.92430913280396, 312.73046157244664, 313.10846263650512, 315.4265920302845, 316.00036780163418, 318.68266860206245, 319.14097620212397, 319.4413887770832, 319.70550813885495, 320.84296511113433, 321.93722095933333, 324.25467575658337, 324.81302054786931, 325.42110740449164, 326.12772486365395, 326.80359414504466, 327.20303650710935, 327.90227914461809, 327.98536369725042, 329.86182542120173, 331.54273001132339, 331.95807287188643, 332.12297017555466, 335.54308007975061, 336.31293866925597, 336.72051653511301, 337.88376737856822, 342.76954623170946, 343.06984622384624, 343.94194126326011, 345.98608826258919, 346.61269593833964, 346.98087846709677, 347.02996150039775, 347.84092646539318, 348.71464996963198, 349.19887887783381, 350.56217406054935, 350.59258509279113, 351.13179459359344, 352.21000120617111, 354.08761656972331, 354.72593550818294, 354.7862016811834, 355.23499395729283, 355.53875984999172, 356.96896222664748, 357.60188623169739, 358.48263782040033, 359.62020444637824, 360.76296350148635, 361.3431429678015, 362.60615235701448, 362.64924863440609, 364.78266057866261, 369.19947410726934, 370.72427877251323, 372.6893560569743, 372.84036025826441, 374.19913868241616, 375.41990729548621, 378.51036713103582, 379.70424578780586, 384.93281556277645, 386.28651842249059, 389.04565628390304, 389.55452765709947, 390.56549794457999, 391.38768257625009, 393.51622377508147, 394.32921481924825, 395.59976811430437, 395.80441702234378, 396.96006309614114, 399.29322219814378, 399.3891099094248, 399.91600428499981, 401.79129941557119, 401.88708270435188, 401.98489733965226, 403.09116807123229, 403.98411088534931, 405.62876725943073, 406.33955228404966, 407.22960972656949, 408.24068238984285, 408.38751073753582, 411.43096828586948, 415.43763697298931, 416.97613253094869, 418.28869800623403, 418.78039461838966, 419.8578230760092, 420.58540441268781, 420.64425113080398, 424.23941075089414, 425.09946688723534, 425.59899029542089, 426.35463817690061, 429.21445237329959, 429.65140509128213, 429.68305592699369, 430.06485873126917, 430.84850940409342, 433.48267487380087, 434.10650763961871, 434.18938891094115, 434.44494491160748, 435.62075167927031, 436.26967949060446, 436.62308424233106, 440.70218131297867, 441.41442777108125, 443.06038579836229, 443.13481455099912, 443.9431941882246, 444.89456054669625, 445.25475535014891, 445.87907010315513, 446.0785877266436, 446.66385237661382, 448.73148472322652, 454.81856877918727, 455.96688116428675, 456.03491051935009, 456.1790115503934, 456.34577466867609, 456.43468813660917, 458.82614275709545, 459.69431792090563, 461.66204384105401, 462.18564170721868, 462.91931105649297, 463.36473714104631, 463.41539736776758, 463.91856055409136, 464.0431132069487, 465.16345954396172, 465.36629542997201, 467.61385662550424, 468.93646491672962, 469.24245891621206, 470.93926972612053, 471.15621248313528, 472.42598176780308, 472.7628990876716, 472.81436688146761, 472.95821357773627, 473.47004688665379, 473.62626116778893, 473.66279045682262, 473.88415908050104, 474.14220322130893, 476.51067147377347, 477.15819214861841, 477.69025484761033, 480.08900063215435, 480.35601810937112, 481.02674960131696, 482.0023801812257, 483.28662727855703, 484.31761730809541, 484.52376889050703, 485.8254904331215, 488.51455306584643, 491.30347204797846, 491.50752781396483, 492.94880395040826, 493.75525698747219, 493.8509980621979, 494.20440148155768, 497.40980342334024, 500.25369380672743, 501.68261160770419, 502.79642131003436, 503.85871539227372, 504.59991345018528, 506.36397814699114, 507.6463618427689, 509.1613539800295, 512.94097327334362, 514.33811365211341, 515.33865529018203, 515.77929014909796, 516.90059693084027, 517.00206060241499, 517.55924539909938, 517.72305776742371, 518.36793431891704, 518.60421119385251, 519.98922904975962, 521.36349952969385, 521.87118709137462, 524.80878721587533, 525.26952858005757, 525.39442193236175, 525.83080835648468, 526.40171072151099, 528.29572830937741, 529.69747947229996, 530.49751767747921, 531.03236272112201, 531.08934134686251, 531.44199239894579, 531.90730477151169, 532.25180886750707, 532.75233933045331, 533.7792989767114, 533.80504324984838, 535.01777156200899, 535.87156791386235, 535.98543666798764, 537.64743312324561, 538.31697869843674, 538.36123434512876, 541.85750960549603, 544.93414368896094, 545.72955202189928, 546.99838432776323, 548.1669429068578, 549.25385963993165, 550.2293915557442, 550.24984987432367, 552.55228883496136, 554.67206036108462, 555.93598501516021, 556.6580421830547, 558.04209598910404, 558.33367603836382, 559.77553404067976, 561.50838127264569, 561.80929030616323, 562.1207124994861, 562.84880359867793, 563.66031487656221, 563.7027708898728, 566.68147667498886, 566.87199945956434, 568.28765851985429, 569.93831737117227, 570.86566743061417, 572.1558907082964, 573.41980408472875, 574.31341925977972, 575.36897192346169, 576.08318057960889, 576.35130398520323, 577.73956137551477, 578.67319772904716, 578.75843041544124, 584.29191561291009, 585.42885122915493, 585.5054454996108, 586.01423825212737, 586.68166289925944, 589.47570769359345, 591.71705841454173, 593.83000834222332, 593.95402072118281, 597.54367069162436, 597.79864068322479, 598.09500230982053, 599.19043189939202, 602.12692298508796, 602.16517172908709, 603.97830892493789, 604.12583280947399, 604.38349028208131, 604.5682871428578, 606.99791390890789, 607.28221722949172, 607.60814201457697, 607.81186915516787, 608.66978029159679, 609.0692280916752, 609.11463705958965, 609.32992136001315, 610.41418199847465, 610.45484328058603, 611.16216583916491, 613.01456574449071, 613.56109362471636, 614.16984574332946, 615.87927496998486, 617.09256791213386, 617.91914326056349, 621.73289736980053, 622.73699745478802, 623.93088275655509, 624.13246473427455, 624.76262027829739, 624.97280503018123, 625.26986768395523, 625.32368689686859, 625.61290318450358, 627.37913198237425, 627.54371230883328, 627.85445964201983, 628.29294000896834, 628.93268077103858, 629.43671527633387, 631.45200814924033, 631.93626751162901, 632.03727449686266, 633.10065666839478, 635.81938368018155, 637.40542656838829, 638.08285499193062, 639.05727132369373, 639.57722477900927, 641.68369289035559, 643.70850282979745, 644.35150337569087, 644.6596577246936, 645.01950880917695, 645.28070007013332, 646.27497824218869, 646.8369499184605, 646.98004634146696, 648.00532388240777, 649.0672809037585, 649.09450191355552, 649.5182184011353, 650.54263125101045, 651.05692545848092, 651.22897300867578, 652.77687505951053, 652.98510487510532, 653.46031768308546, 653.90344532189454, 654.10820927196437, 654.66658280514991, 656.48835306988849, 656.62506593105104, 657.87218409299135, 659.06936862026259, 659.29168816687388, 659.35544178675923, 659.96048329647192, 660.16540825355389, 661.34827704075508, 662.49154816273222, 662.68143318877424, 663.67997570876139, 663.8247851781083, 664.41505087503333, 664.43975057940952, 669.91918764641832, 669.94079316764316, 670.60754587854262, 672.27832702324201, 672.6167659368183, 674.11308978375803, 674.34375044440503, 674.84275176647395, 678.95295168333723, 678.98005381081327, 679.28224857743339, 680.41429895191504, 682.16325857177048, 683.91499839977575, 685.73561409626984, 686.01962088432822, 687.455551450847, 687.99096978875468, 690.06170332453792, 690.72382609943963, 696.3260878881141, 696.8255149450805, 696.87502139851847, 697.22235798230167, 698.31807402948755, 700.46821520028948, 701.82207798099432, 702.00105595864102, 702.20148673426047, 703.62434768201024, 703.97678197107973, 705.47060041663167, 708.97940731056474, 709.35872108605474, 710.81006070306091, 712.31707114169217, 713.11706409632302, 718.62167865048343, 718.8102982689378, 719.20058220669239, 721.94150266353279, 722.07898953924291, 725.45873190571547, 725.75981487549222, 726.53952595287672, 726.56971024295683, 728.38100352025776, 730.4996475895432, 731.87938153921561, 732.57021568338143, 735.22487749258994, 735.48310179906377, 736.6105104433766, 736.98643937381826, 737.18191305717232, 737.27908577008384, 737.4383264407976, 737.97134060881058, 738.76806823310642, 739.71507715822577, 740.11931706815858, 740.34893067109147, 740.80683068458222, 740.87238149371842, 743.30170151709001, 744.2320965960289, 745.72443839642551, 746.24680838604718, 746.86110513664073, 747.55461425435237, 747.60904106620944, 747.9133042274932, 749.566412620356, 750.11069566806486, 750.3987195677613, 752.87489889223093, 753.78199167846435, 756.01803173121539, 758.47716280071529, 759.31308795543544, 760.00648150371558, 760.4110851014558, 760.44424567077954, 761.0055246827136, 761.12230996195933, 761.88840330609003, 762.53694270719666, 763.12149143620434, 764.9533406377227, 766.17355712276583, 768.2176136436683, 769.21935388583097, 770.14726471818904, 771.53229195804158, 771.60009466848635, 773.00549975249442, 773.81434917940737, 775.27662273699525, 775.69389311365376, 776.10976608931685, 776.59614951798585, 779.68898391398727, 784.92336857824682, 785.1751391572368, 786.6133044333543, 787.60810106366455, 788.55465623229554, 789.20897781316967, 789.59265161066583, 791.22387087284392, 793.24355374134973, 793.90508214057388, 794.75470709258741, 795.23843129482452, 796.1378220616823, 797.38579502269442, 799.84435797258698, 800.79867490066238, 801.17023882134299, 801.19355353887033, 803.62380148738043, 804.04334948119254, 804.32921803357283, 805.81844352682106, 809.79070400263038, 811.51466807290922, 812.64098364390622, 813.80521686301563, 814.93854497187533, 815.82522953922137, 816.65457769546083, 816.9777135400733, 821.59738709935937, 826.55007436797837, 826.95456064777409, 827.4445744017986, 828.09767161577611, 829.34393609047618, 829.67316463373288, 829.90278393400661, 830.27346390545756, 830.70097018598176, 830.94048142604879, 831.05809886583984, 832.46979309669462, 833.03023889891927, 833.06920273302671, 833.29055996862894, 835.46027809494353, 836.28761973397707, 838.96691419221906, 840.14061803351501, 843.49705634484872, 845.43645898129694, 846.32587422930226, 847.45988903421517, 848.5847575954482, 848.73736856687515, 849.21980401051655, 851.05819270513064, 853.29289805763517, 854.27820303055148, 855.35322148668115, 855.95712078098268, 857.1870691556793, 857.3187270651398, 857.36869661374806, 857.99526364055146, 858.0424774410634, 858.47355923849045, 859.46663608125959, 860.67156977842274, 860.96736911597532, 864.16610680702377, 865.14602760061655, 865.39885849885468, 870.42518594625233, 870.76546288611735, 871.92002918094829, 873.74406831718113, 874.27223372269123, 875.91535940779227, 875.96084544583766, 877.19263819402806, 878.11261873200112, 878.97125604684254, 880.55754126979832, 880.68244032441351, 881.33830221792118, 881.59168480434892, 882.58957344085297, 885.07424966311351, 886.03988660078119, 886.24844129255848, 886.37276081441973, 889.0475422593222, 890.69568312564877, 890.85063645307469, 892.03788953005494, 892.62939116484858, 892.76415718076407, 893.32730403862615, 893.86965028522786, 895.07908608677735, 898.32023568824286, 899.50356182342534, 899.61441061592711, 900.25482011698909, 900.69199180067972, 903.05277830920318, 903.68898135161419, 904.70062537543913, 905.03021652691893, 905.37752740883604, 905.6404065348288, 906.83999887009747, 907.62321457090036, 907.69892736026213, 910.09993590083877, 912.03704057731352, 912.66495448753062, 914.353692937961, 916.40873234957007, 916.50186069103654, 916.56044779461979, 916.74757257725321, 916.83752972366926, 919.04043831164211, 920.39444430017079, 921.46027162945632, 923.64524406839371, 924.35112377824589, 926.35219122289914, 927.73637164729712, 928.73155532657745, 929.61272638460514, 931.49340957093557, 932.85433155433293, 934.63436872826605, 937.26313971175432, 937.76246113777938, 937.97362486318184, 939.32454755837648, 940.07177878433276, 940.25702098964518, 940.82707808548207, 943.54649054316349, 945.2771476446726, 947.62179510321073, 948.50246447115524, 948.72698408194265, 950.40396183859548, 952.08758003374271, 953.21098254763285, 954.72737916318476, 954.750932633096, 954.98229264452277, 956.58497754357325, 957.04639788399925, 957.99037672892916, 959.06799799384294, 959.27056971928027, 959.63328138504392, 964.01602679220093, 966.06948616365185, 966.26941923294521, 967.32470868769781, 968.56779720753764, 968.85295103738235, 969.5747549758878, 972.15186205594387, 972.28736827328305, 973.0829827915436, 973.68671151609431, 974.36109990391094, 975.74091108224627, 978.15127635004205, 978.69329148759493, 979.14564597678395, 979.36053652708847, 984.38802439533083, 984.46761189012204, 986.75917594838063, 990.42867604119056, 992.77356802479733, 993.47498288263182, 995.88324978137825, 996.08298755304611, 996.86520683951323, 998.16016401422439, 999.54674492281492, 999.68712763812118, 1000.3704099948586]),array([89.343215504257259, 90.117440886795933, 90.942662176884369, 91.493580922580932, 92.641355231307188, 93.696916974964338, 93.732549148893455, 94.13873978316353, 95.550469640203929, 96.368914784584192, 97.004540637531463, 97.307458663207612, 98.649155265168645, 98.677122432359837, 98.960566382613379, 99.276658864008013, 101.54933051083101, 102.56421586747769, 103.24501992067107, 104.37498349947073, 104.47023626522233, 106.71343104469433, 106.74652485184944, 106.87137076956333, 107.70695207280821, 108.26387890508346, 110.43140283343459, 110.46266597306463, 111.78802861036458, 113.03139065390673, 113.58286392085745, 113.7512886602772, 114.36462578979872, 115.15708369308385, 117.79788011141316, 119.49615091368467, 120.43178187051497, 121.27897206460422, 121.83799688429309, 122.44193829783823, 123.49912123412214, 124.1996904810932, 125.51268769965128, 126.36990505598837, 126.61768790859095, 127.82614978242512, 135.96258893898195, 136.33188289332014, 138.67749772549831, 139.22287521970486, 139.56305711876936, 140.10695252921624, 140.26114144060938, 141.0794701266847, 141.21299424452553, 143.06006521847863, 144.90998504906901, 146.48736034759077, 146.51744855370922, 147.24233234090045, 148.42263770761755, 148.86348769520322, 149.39603748806567, 149.58590706854636, 151.80034233634612, 151.88805436208156, 153.31189164929674, 153.37182226228501, 154.1465316900431, 155.34954513871818, 157.8387157438635, 158.79779705555958, 161.24113167277019, 162.09180675695183, 163.37286444795254, 163.84237127910905, 164.60939057838357, 164.86425360274947, 170.06192101854847, 171.05909431713283, 171.52132559202616, 171.72862011973706, 173.51718042473453, 173.59766595592964, 174.54253930200733, 174.58615264925004, 174.8313332550758, 175.21760338272273, 176.75023544606287, 176.77659062197341, 179.69466523296435, 180.0174067844693, 181.73598551509502, 182.0905620179212, 183.42186530753972, 183.59694773116178, 183.75177966204234, 185.76947167070588, 186.15917277524699, 186.17994987251231, 186.31501304513583, 187.77864462688802, 188.63616402920496, 189.30554007554829, 190.10889247321219, 191.39133501303604, 192.10883365247491, 192.25994822332183, 192.56062259483051, 192.6609622081294, 192.86038385788206, 193.07932227046862, 193.15828808799233, 194.11204176079926, 196.53580072291248, 197.24604150070854, 197.41948574379671, 198.93982392777181, 201.12646193314384, 202.61302689852343, 205.53742819560361, 205.59550255695493, 207.20124297350284, 207.22605321679958, 207.32144682279943, 208.62121485405154, 208.73840793531397, 210.03417831564335, 210.35870410408216, 211.58613614567375, 212.92865825200454, 213.29708973613876, 213.94642157921217, 214.18582061711544, 215.23430998892644, 215.82991791451289, 217.19179108929174, 217.67814136807434, 218.29722350064759, 218.67704197390017, 220.22539673241016, 220.25857033774793, 221.49031448252666, 223.55555903291764, 224.26520848472353, 224.41227955086313, 224.68389188878274, 225.57773890166234, 229.76909458831594, 230.60424282902099, 231.12209027295415, 231.61318118194134, 231.68639494859522, 232.61824334123608, 233.50272905893823, 234.37559556084955, 234.65920830845954, 235.49474495953135, 235.9100186011334, 236.33573580378973, 236.68564317841188, 237.1858459143258, 238.11050978059782, 240.01695790447511, 240.09062323035047, 242.14057022852555, 242.18894533932584, 243.15967905161776, 245.5673386169359, 246.28256567008816, 246.69659219588561, 248.37876248832515, 250.37104338240485, 250.90823843230262, 254.49289851839117, 257.52024552699089, 259.28745586575582, 259.39501440691862, 259.52683147688191, 259.96741173108319, 260.3278054966982, 261.94981820896743, 262.57000957403585, 264.99681948439996, 265.4103571261013, 266.54641233824248, 267.40906040388455, 267.5065392337105, 269.56401069145647, 271.85575434091538, 272.17678775854966, 273.20771613410784, 275.25625461747131, 276.34782822328071, 276.48870393489955, 278.37093384322134, 278.54275545879136, 278.95498337817185, 279.51200314995913, 280.42514300515273, 281.69329277567397, 283.1769227022362, 283.57917344256464, 284.04530819020334, 285.82798291128711, 286.39568670825815, 287.65488245860905, 287.78043575320964, 290.30799808625028, 290.65848346275487, 292.25944549788272, 292.48195494647149, 294.06375513946983, 295.20831617598236, 296.39485953507511, 296.73990343781509, 298.06149277950698, 301.56200182979194, 303.31997633383145, 304.07121776481995, 305.39120401323214, 305.88976150372662, 305.92326358865608, 306.35414380513851, 306.70727564092033, 308.210770765858, 310.81426729456206, 313.6006758761248, 314.00460554352634, 315.47199732312686, 316.25895216142123, 317.04773215923257, 318.29462091304373, 319.4057174556346, 319.44633956363015, 319.57972471868004, 320.0675100535671, 321.53803348260226, 322.41021574399053, 322.77723231802844, 324.08599479221709, 324.88748743551344, 325.69832732488806, 326.92578625260074, 328.47964493731149, 331.85515407010359, 332.4073008865418, 334.61420778477435, 334.82831765559098, 334.87458319959893, 334.89943020529506, 335.89812616403884, 337.44836263845002, 338.12814156761078, 338.80365266119048, 339.17233539455623, 340.4670003025509, 341.77936130286872, 343.82987938082306, 346.51583766051147, 348.20750049831253, 349.99751310318891, 350.12779657073099, 350.86361665946691, 351.08242982205655, 351.34161478513323, 352.82835071264157, 352.97393592512265, 354.02422983138479, 355.31626447601872, 359.61635097322193, 361.78204965490352, 361.95559112709429, 362.12951073758506, 362.57078829209905, 364.94883857252228, 366.41731344674389, 369.30189356413547, 370.84186904344136, 373.07920269838593, 373.23738929669469, 373.47802069708115, 375.53494366143553, 376.88817281146072, 377.61561851173161, 378.62504351604247, 381.53419456462848, 381.65898178458326, 384.27705170852528, 384.87432689254126, 385.57579718384147, 385.84460051730554, 386.21297975344663, 386.33345728608748, 387.79204223110361, 387.95001181081977, 392.72068723087921, 392.93786714482241, 396.50437933182934, 397.08354451749113, 397.13515389234772, 397.22859182776801, 398.06733930064456, 399.62093594339723, 399.65101710067063, 399.82662816810108, 401.96711365160724, 402.34850526362834, 404.52676797858618, 405.32881163568516, 406.21538070206844, 406.308918907975, 407.28252551030005, 407.94877518681125, 408.61212534672666, 408.92466803842234, 409.1825481072616, 409.82213784654328, 410.88255635694497, 412.9964232836661, 413.87175854084575, 414.1211740415755, 414.41845234158569, 416.83988031427043, 417.88675967686936, 418.79362600988878, 419.84817093771323, 420.67586895108593, 423.0122884368065, 423.2024219182648, 423.44867703134855, 423.83189090844667, 424.6246508594877, 424.90937265638877, 425.04366221504881, 428.40226074241849, 430.56354193034281, 432.49552343105131, 433.98631949146443, 434.5279866484662, 434.54852715999698, 434.92287478815354, 436.94775862480122, 437.23883906417188, 437.7626992467263, 439.65786731596444, 440.71835438503803, 441.4050491919773, 443.63386551664888, 443.72315734264851, 443.99017182574636, 445.32702935094756, 445.87878503309054, 446.09995990719585, 446.55252677046053, 449.13649937595318, 449.56169980751957, 450.06640275473364, 452.3015427542299, 456.79267526531225, 457.21978168582365, 458.82049850324915, 461.22293205081326, 461.70081643439721, 463.33217510671665, 463.41854956414591, 464.47002849215056, 465.68154990477694, 466.71038432838117, 467.45264393832929, 467.86374411744663, 468.72251312827512, 469.23767781647786, 470.98232695117213, 471.16963583659913, 471.4449072936157, 472.44777647056833, 472.82701076903118, 473.1050767315873, 475.29866142266462, 477.0150055949008, 480.61132632872551, 485.21052179072399, 486.84961264354297, 487.43321971454856, 488.6202242958588, 489.5918028668043, 489.63852170201091, 490.13422514521164, 491.21916377237642, 491.84626155769661, 495.4901911762226, 496.38600512033577, 497.05182736942555, 498.0324273813531, 498.97488304286912, 499.02664500361368, 500.97066773846888, 501.63089630582243, 502.871770010322, 505.24340874160828, 506.81662078453405, 507.74242447057725, 509.77814425848322, 511.16224324037853, 515.9360873491903, 516.29693193062485, 517.06116645595614, 517.529853596012, 517.60119839511378, 518.1135935296727, 521.93366138837416, 522.30877187530962, 522.63735551335378, 523.89724266025337, 524.86111489573534, 528.29889208875761, 528.59469458635203, 529.21832099315748, 529.5688675811499, 530.28445089839329, 531.56394238093037, 531.74805100813887, 533.5944549840716, 533.68350947866452, 534.30690648993061, 535.18381782201459, 535.22467883419074, 535.31795216456055, 535.49613199341127, 536.07497875089348, 536.14881683944861, 537.754394473817, 538.06154065144938, 538.13561659483992, 540.34909694918872, 540.51288202611954, 541.53505462270687, 542.04397671814195, 542.85504629757747, 543.3595358500221, 543.44845534075262, 543.86285436982121, 544.23357573745807, 544.78724911227698, 544.93658156161268, 545.50507742212233, 546.66671315213887, 547.28447585786137, 547.55755996887115, 548.81401891955795, 549.50282723530006, 554.2908215695461, 554.6716150011124, 555.17379344724998, 557.43516922319111, 560.69879663496818, 562.72447583366022, 563.64668142733774, 564.57335017985304, 565.08127722467373, 565.21529453453957, 569.59158484843488, 569.61622199770102, 571.12472975369883, 571.62392681248639, 571.72215297803007, 573.58238724601711, 574.3421571898574, 574.47503985462095, 575.18893107599717, 575.95140598630144, 577.04294628653804, 577.92439676619392, 579.08398203704871, 579.34771316283741, 580.05481334027183, 581.59754138798098, 582.00920741147615, 582.75275310652626, 585.34829250360747, 587.93234563098963, 591.99560177618696, 593.06683445258909, 594.67251314552595, 595.93592998668146, 597.40172832381347, 598.46771498971282, 599.9477893676775, 601.28350262418712, 601.35403868635785, 604.54506487595563, 604.63792398753446, 605.34411670023917, 606.7333425388091, 608.12840865243959, 608.20746285407608, 609.14791219950246, 609.59879997936468, 611.21969924857319, 612.33452920617151, 613.36468635607559, 614.21699823795996, 614.70659162366405, 614.76813179843884, 615.79451769386037, 619.15193484922463, 619.69676774106699, 621.1534442621753, 621.73900723746317, 624.12950795213317, 625.52276007222372, 626.30970784179647, 626.58603761941242, 626.97015712321479, 627.89758342020389, 628.89135897723861, 629.59220023632395, 631.95019441491638, 633.19933700118168, 635.18008553570655, 636.81903057826571, 636.99679777439928, 639.30397495920249, 640.03490054719441, 640.33373359676125, 646.55920595115583, 647.59145091410187, 649.06528813449302, 650.94803676995559, 651.01694107266201, 651.18618971378999, 651.7321677340484, 656.98093442434481, 657.61811788132638, 657.81747272039877, 659.03345073126206, 660.08947065402708, 662.85330610653716, 664.28798945845165, 664.31315954395211, 666.49161464841166, 667.02278439345582, 670.42930248392327, 670.91630074220382, 671.106055611074, 671.23240052337155, 671.69936986754703, 676.5647152464536, 676.71936237617217, 679.81186499497733, 681.79523664655494, 683.25869106514392, 683.78911498589207, 684.10914575998686, 684.70370380861766, 685.34672019995958, 686.56098574961788, 686.89447158148721, 688.02550279170759, 688.41205640641817, 688.57391237605441, 688.90431161182619, 690.81037407127803, 691.3329204257808, 691.4107423963236, 693.73959263516383, 695.01382786653471, 696.06324634933105, 696.86173249226829, 698.54618758349989, 699.05704038971055, 701.50295354874004, 702.22978769641816, 702.59334945146486, 702.62675367772931, 704.71740052879079, 704.99728621381132, 705.10370725792495, 706.07985799557366, 707.73236875264786, 707.78465406537737, 708.14005386888391, 709.03078825723753, 710.20860757480841, 710.48837733783807, 712.62340643483333, 713.07977280234354, 714.23261781612644, 714.83251852623312, 714.85788694047369, 714.90086095740446, 715.50070593162047, 716.65963052899258, 716.8760114088019, 717.04640894332988, 718.13599063683466, 718.2164237160722, 719.38366768696312, 719.68610652890084, 721.08533782729057, 723.42263706538222, 725.01397276954299, 726.12110929857727, 726.84062707455109, 727.09849512148764, 728.101396377622, 728.54298534355098, 729.14790859622963, 729.73714444170366, 729.75819202927016, 733.02513729187615, 733.5782068756854, 733.63595534553974, 734.23249640015547, 734.41476587072293, 737.53473506383011, 739.32101703058891, 741.15653227043106, 741.97101174760212, 743.4619545927269, 744.1019222407142, 744.24444786202582, 744.4036172974304, 745.17928973671178, 745.22520713318647, 745.33881247434113, 745.48449715335732, 745.74426079480634, 746.23757029110175, 746.38175910875077, 747.71038396244182, 748.15049487397118, 749.58342060355437, 750.3789795081907, 750.65409395241227, 750.80638901009695, 751.38413223424891, 751.46995003036955, 752.93125430028795, 754.13964460684201, 754.47497567560458, 755.56966927797646, 756.58714712892231, 760.01075653326166, 761.64526196754196, 762.20539151369394, 763.67281180575458, 764.26782879841528, 764.36273551481509, 765.11805615760011, 766.43304240470752, 767.32924622018106, 769.90682635653263, 770.04955675379085, 770.75317893186752, 770.91007643077342, 772.06864710256173, 773.97158129519107, 774.11924427064946, 774.73796266326326, 774.82981645623943, 776.80194428329833, 776.85598254790841, 778.39332541439614, 778.4896675131431, 780.41803615923072, 780.77226603219162, 781.98332673119114, 782.19261329364554, 782.49321531774092, 782.9888869882717, 784.21240457393196, 787.09000024970305, 787.76369808306742, 787.98495733220614, 790.91167080710636, 791.30353173627293, 791.57259679984224, 791.62544854651594, 793.38022402225829, 796.26622925193897, 796.3303300979793, 797.07783063385284, 798.81988570459919, 799.65772282120759, 800.9415010980556, 801.65727529412118, 802.35122676500168, 802.54784592719182, 804.12409527056411, 807.3903325136057, 809.30733118546777, 809.40367794511042, 810.2520224480503, 810.79809502856403, 811.15651519151891, 811.31102099460327, 811.46059671221553, 813.21445731072197, 814.10180009274893, 814.1672364506345, 814.25000410720202, 815.93191105097833, 816.61215695570672, 817.31611851206253, 819.8439882024561, 821.11529207982471, 822.28037578797682, 822.61265544844582, 825.79999368997005, 825.99193331048457, 826.79782476180003, 828.68620992183423, 829.01220813032876, 830.32663327449893, 831.88206282383771, 832.69197560854582, 833.08506905519209, 834.48342571766239, 835.4744031808907, 837.17249718224889, 837.37732637299882, 837.45444075790601, 837.73747798558554, 838.16806186803353, 838.52027913566235, 839.99616930903255, 840.12179267080603, 842.34368653646652, 845.98017700436412, 848.64891654115354, 848.86659978273792, 850.53319884594373, 851.60086721566449, 851.97918344622394, 853.84116411162745, 854.58906425494183, 854.74187629552989, 856.0381650697077, 857.01099968982078, 857.23298807400192, 857.35721453745157, 858.70842639737816, 861.52948749341749, 862.52167753543256, 863.8518894494398, 865.32756347186648, 865.45433473269634, 866.8752842876961, 867.56896999501873, 868.00011709335581, 870.47569892502042, 870.66495510446759, 871.34914999888497, 872.08275773901744, 872.62015545462907, 872.7513306984863, 875.2961184770046, 875.63437845797012, 876.59530236630474, 877.65390730999002, 878.01273708015128, 881.86023097639782, 884.79728279195569, 885.05555883051352, 886.4020329773582, 889.99585127011778, 890.47221766506402, 891.26154347739475, 893.32685106647773, 893.97754152534094, 894.51594191996946, 896.02640978261536, 896.46724659590495, 897.50557720002325, 897.54359205403227, 898.42190114173502, 898.60877271505444, 898.89863772582305, 899.93860410630407, 900.03058880478852, 902.09742127728907, 903.99438607774266, 904.06516228229543, 905.30706474837609, 908.64708072199983, 910.2912803778986, 911.22889402741305, 912.35156301032714, 915.35178582642095, 915.62242150170914, 915.71112546708355, 916.23288377527012, 916.99140308251197, 919.58885654905896, 919.79178955776911, 920.93129765651952, 921.29260026047234, 922.46409581839532, 922.70681823093207, 924.7720706111453, 925.26623170922915, 925.46976252243621, 926.49283209667601, 929.41572328096515, 930.42661822855518, 930.82438816676142, 931.2233794151341, 931.85049251603698, 931.90302434251134, 932.15353796213617, 932.47032034831386, 932.85615986669006, 932.95971459397072, 933.57771943403873, 934.00963053641806, 935.14475922817655, 936.69587372184844, 936.85603451735676, 938.08879595060694, 940.74481021548877, 941.082069822927, 941.85184114881645, 943.341043323142, 943.93336310675352, 945.16667748019825, 945.74587996891432, 946.67063905197153, 946.85821224935228, 947.35033390209742, 947.60031317361336, 950.0687213521669, 951.61991421430184, 952.00848725773653, 952.78546648290023, 952.88968150649089, 953.85236663696719, 953.87612790322316, 956.94302998561898, 957.17419547086899, 959.26047549260909, 961.19122178123894, 961.980913613094, 962.22281213527867, 964.33948862629109, 966.84446696512202, 967.03245297939111, 967.69632430934053, 968.06407879092103, 970.45328626189553, 970.79168755352896, 970.92260376313379, 971.40496838732952, 972.0322693295019, 972.49022582715463, 972.65412781195334, 975.02555667946694, 975.40863195531358, 975.72290688502994, 977.10126808131463, 977.34552467814569, 978.00697603129436, 978.52644276516048, 978.64306061473803, 978.75184218061565, 978.86070058852988, 979.88860176219941, 980.59221399594117, 980.74173669132642, 981.64324168155895, 982.34619080772597, 983.32297672562845, 983.49713309961749, 984.25709324002901, 986.43401074931728, 988.4511573327361, 988.78743128327369, 990.21108698349792, 990.27425703121753, 990.47230614440741, 991.66604377193573, 992.02534374123672, 992.65753677454654, 994.18317816212175, 994.20872750357375, 994.37852911501739, 994.48955403413242, 995.63425463646774, 996.06121729309109, 997.61271473688635, 999.70647999867504, 1002.0920620828393]),array([72.573909563600353, 72.646796488097195, 74.484444983665938, 74.897426953140467, 75.006505273439075, 76.082793279502923, 79.153599445582955, 80.094617271786817, 81.090937523724151, 81.566670109636007, 81.689826816777341, 82.899131669566955, 83.734213747529438, 84.390313917644562, 88.022396369809414, 88.562895558191187, 91.478633660701746, 92.369948957803757, 92.478100163243496, 93.976138035591816, 94.04524862510533, 94.28667209409015, 94.635238002321856, 97.074639579186524, 99.341622325881659, 99.479665698074655, 100.1310374135785, 100.32286836930153, 101.71901461041665, 102.71551687263087, 103.75070409311375, 104.49402547546552, 105.90921514717125, 106.72570343242445, 107.15890181698011, 110.83335217492018, 111.47815984861622, 112.81897144540905, 113.06884939006522, 114.95457063727898, 115.73298909512377, 115.95115031692997, 116.29904153485802, 117.3043310046038, 119.32233132877111, 120.30224382891072, 121.46572231433879, 121.54329362986773, 123.52747254705803, 124.31646625824422, 124.36798592729473, 125.27551770166025, 125.74630084092531, 127.80320711360213, 128.14748432868691, 128.31378381997322, 129.52161940625325, 131.87780841526757, 132.72909501166771, 135.08417551487787, 135.70228516857401, 137.6452853961616, 139.754999287929, 140.35630039837412, 141.19271063397778, 142.44193954107189, 143.40256599693231, 145.03936029279981, 145.09457059885446, 145.40121149624551, 145.55336441735412, 145.82158833438194, 148.00057701184579, 148.81934391957964, 153.45212278494316, 155.23619773515688, 156.94049401019291, 158.17107506856905, 158.64684883497571, 158.99660770835521, 159.87844911243243, 160.73768765957706, 160.8175610777545, 161.30523201256449, 167.98272289610762, 168.00498526536356, 168.20738931882823, 169.59598489346195, 170.20108092214065, 170.32697874101285, 170.46905769085552, 170.77911557565528, 171.2085170196865, 173.12803296491512, 173.2943638614783, 173.73554564276961, 174.01425361184178, 176.65811966002022, 179.99167369255457, 181.66188554615954, 182.42558276999011, 182.9530598970907, 189.78541971953487, 191.64906758205035, 192.14776801049089, 193.08856409511205, 193.67365029264738, 193.77483252912947, 194.71364454178942, 196.36529405506511, 197.37956379499349, 200.63149192381411, 200.8691147497041, 201.12955117506399, 203.03930075365145, 203.15814026344103, 203.18428772107038, 204.9252436182442, 205.55815877140142, 205.91650987187847, 206.08706350860976, 206.37984369595119, 206.49806926442429, 206.62914679242243, 206.67907005910965, 206.8756510108654, 208.57146976951086, 208.74485922532455, 209.01067097449015, 210.02195932034849, 211.163700341229, 211.29919940056905, 211.72539717895216, 212.2493548322187, 212.47111222378058, 213.29712511526094, 213.47931567294381, 213.89875323887719, 214.81486812548269, 216.86215110558678, 218.14753056937187, 219.08808378082594, 221.27621093008185, 222.33924145624121, 222.8400733368006, 223.06810953436329, 223.9858418132971, 225.21411791287809, 225.5864276066111, 227.49294692777121, 228.1120896656191, 229.08091284153821, 229.47572362922926, 230.01726641409999, 230.78039914934871, 230.83022593162627, 230.93570507692704, 231.02613335389705, 231.60166366668, 232.57881554769565, 232.89830704883738, 234.97061034782146, 235.60022206145786, 240.22207510181343, 240.28796981243727, 240.51863418662123, 241.10996224276866, 242.46068474635808, 244.02938624127796, 244.50888558614869, 244.90525455151231, 245.17864859336234, 245.86359605723536, 248.21699128416711, 249.50111032406255, 250.02851114166617, 251.91482345774062, 252.34210265792291, 252.89137651799453, 253.55425311501716, 253.61386577592424, 253.74587712739685, 257.83877815985426, 257.88495047951324, 257.98331164143821, 260.51388899901599, 260.66540649459512, 261.60371220180616, 261.88986602301827, 262.22753798441397, 263.02560563444626, 263.19853467055128, 264.18141052195557, 265.75264396905612, 266.36850236540522, 267.50177008355183, 268.07735992557849, 268.35949259374263, 269.16290068923502, 271.46948594472593, 272.28755917140154, 272.55680588809435, 272.79527475195641, 273.82902950500596, 276.83051066309156, 277.31365397021517, 277.75750491732629, 277.78474762510916, 278.27641150312405, 280.3712768120015, 282.7214495544747, 284.22845427557934, 285.4416350564394, 285.67464814677959, 286.56421889575631, 287.07162693385106, 288.56304564068597, 289.0630198373434, 289.26509026291603, 290.20781944769101, 290.6901992789256, 291.97156217965119, 292.01025723640026, 292.855152054153, 296.75208447602478, 297.92963132936313, 304.30190290481227, 306.85677373123372, 307.51629889417745, 307.85643974891656, 308.05188321346424, 314.38808566290419, 315.57257209441087, 316.73122084384892, 317.12408631307426, 319.15095465715115, 320.28955480231491, 322.66034570685446, 323.69645208559359, 324.50577789855788, 324.89996106825743, 325.22039911683561, 325.29170845809409, 326.3290281494273, 327.59920962439219, 328.09715179724924, 328.21905663315249, 329.9019855432428, 334.60042283211033, 336.24825654310479, 336.36953795782421, 339.7587106595924, 339.96197760967112, 341.33956429012187, 342.66416743632169, 343.27831667819385, 343.81678007912581, 344.43757512838056, 345.022828000451, 345.17275175870986, 346.13162934483802, 346.69092876938885, 347.23656861706201, 348.44948436969872, 348.55027148336512, 348.95519775925209, 349.92561625427413, 350.31498160835332, 351.49426675458164, 352.32920286960592, 354.93469414362193, 358.1676062640301, 363.44140936320429, 364.03828773463863, 365.73881062433213, 368.49046100704567, 369.07682947165637, 369.43011714653926, 370.12756677695529, 370.75796970625481, 372.39922730347996, 373.96198422179594, 374.96818993636072, 376.52960133611771, 378.11358657001415, 379.95901454793591, 380.08976138548758, 380.18092830824907, 381.56210761550938, 382.97166941009607, 385.98823188717455, 386.27934100232267, 386.4614173309929, 386.69122038155979, 387.36553711223667, 388.84820212622952, 389.61497765896428, 389.66155445196517, 390.49308169892095, 392.73884381428473, 394.59957027874958, 395.08395550877628, 396.71686762189785, 398.72806799975785, 402.29650319791676, 403.73348927508175, 405.02737184576665, 405.37600463774999, 405.58043947385181, 406.27741505675118, 407.16427214787484, 407.37945083290128, 409.27196263534921, 409.50867787634735, 409.69444528699017, 411.23386886563816, 412.56398717568447, 413.01286364893082, 414.74969991751021, 416.15654425410872, 416.35769504604878, 417.86933864229889, 417.95156233660339, 418.78530415650584, 420.53262262441069, 421.15836915090614, 421.39444647334568, 421.54242584464873, 421.74491393149736, 421.88038098341588, 425.5849508450172, 427.58818127642405, 428.29925282703482, 429.13872367866668, 429.25262155040178, 430.22166656807588, 432.69272174165201, 432.88798385641502, 433.39396102541832, 434.78429024336594, 438.88553250567509, 441.2750416538093, 444.82129527731502, 445.29781091145719, 446.21884218088809, 446.78211755464491, 446.95325000383036, 447.9527179773367, 448.13190361494395, 448.47984938345212, 449.06638234483694, 449.21497648267444, 449.31415167960802, 449.57606252745603, 449.61471061122717, 451.62151563122455, 452.36341245049226, 452.9828681973064, 453.32895172970228, 455.24885633392387, 455.63641692642477, 456.33908014049598, 456.39736312891898, 457.48569221795134, 458.33491046974564, 460.20096732432722, 461.71989169615495, 461.79005293516275, 463.26909137511382, 463.41408178646248, 465.4331627229339, 467.29229657641747, 467.50568420891932, 467.64956853931665, 471.03721186488355, 472.32036061706776, 474.48061170530815, 474.61120432463866, 475.00718531950906, 478.10486667399931, 478.2310434399439, 482.85543817361753, 483.57191442485475, 486.06451403438695, 489.34239516022353, 491.18176405235909, 491.37879363289284, 492.58346970285572, 493.32315792620273, 494.28420792378608, 494.60111514908004, 494.65467626283413, 495.843981080292, 495.93897675815845, 496.52439821023262, 498.27670442032166, 498.5717895350711, 500.32279327485952, 501.58664187116852, 504.5445331763828, 504.74592694899297, 504.76708097354629, 506.59286946536514, 508.14651491127313, 508.84002769560499, 509.5489661509381, 509.95063370043749, 510.30445430084143, 512.33031744979564, 514.11806720459674, 514.69698736331009, 515.03928769061122, 516.75591478788351, 517.05833935010423, 518.15249596488707, 518.52580744841691, 519.01904159141066, 520.31703393155169, 520.85363276507258, 522.00507909592318, 522.02539792409004, 522.53469196520473, 523.09987865782705, 523.39399467187638, 525.39719671736088, 526.70061180822449, 526.84948282938888, 527.21986834577274, 528.07367515842122, 529.54083980198118, 530.37701598629087, 530.57065095697317, 531.13732718905294, 531.2636179424062, 532.81395104274407, 533.02825474178792, 535.18540524269338, 536.81362463078392, 540.65367900327738, 541.71561428433324, 542.84808275294097, 544.06514924925148, 544.19266479388909, 544.5646368421759, 544.81549294281331, 545.46014356590058, 545.83341358745565, 546.15950986994574, 546.35040663466839, 546.85721247981576, 547.17658123759645, 547.93881562434706, 548.27791342085618, 552.59895159047392, 552.66824112343284, 553.30267801646175, 555.93705160078343, 556.84234940839031, 558.87249786499763, 559.83430250126889, 560.26658368862275, 560.65728668841609, 561.10330442790746, 561.50211321417885, 561.59993516862937, 563.32780943271428, 563.8274734397362, 564.27024925304693, 564.31304916206409, 565.46099249105453, 566.22770716905438, 566.48127674114107, 569.55980788914655, 570.90435840739076, 570.94981324678656, 571.23184967524469, 571.82488376775314, 572.14044749561106, 573.06484546235095, 573.7962284921382, 574.03287193805954, 577.48830788035582, 578.18070781862434, 579.80105083993953, 580.26058322968925, 580.42849089359675, 580.76478394882713, 581.92280108610339, 584.17235767450211, 584.39857260519261, 584.80343708817463, 585.96078824612425, 586.66407319871212, 588.31133044406977, 589.04417125694465, 592.56196782390612, 592.89822945780895, 593.6990748487168, 594.06542807084554, 594.4156424566047, 599.80687214071668, 599.82949572025257, 600.05781263069412, 600.82330453778661, 601.3647431415784, 601.94699607579116, 602.10880270374685, 602.20411002712672, 604.90015550640976, 605.68382946942234, 606.03007887838112, 607.71153784456476, 607.81837470770699, 608.4190771380795, 608.61973601384307, 609.22029501218037, 610.85703331338482, 611.70972995755324, 611.87266902331794, 612.0970343449527, 612.93031745233509, 615.23572206570702, 615.85447508114078, 616.08166425989396, 616.90750677614426, 617.15804860833111, 617.48949540303033, 618.16974892236215, 618.73612135558835, 621.46768368326309, 621.6699064860104, 622.47213996323978, 624.3096086188084, 625.20043149839717, 626.92038327529633, 627.08861854873794, 627.59402139421366, 628.61745750538716, 629.16741192067332, 631.06714248024946, 633.42082619546602, 633.50551806176509, 640.42297051086257, 641.26329404453293, 641.32752681553586, 642.26579662269262, 642.59088946167549, 643.72783853202588, 643.90822379810936, 644.25810830893386, 645.72815098985666, 646.2850397032206, 648.35566109265687, 651.3293942335273, 652.357064187638, 653.14068174395607, 654.0981737384559, 657.90153584096367, 659.62578305284376, 660.96883254473073, 664.53278965492814, 666.07227670897328, 669.10353987723101, 669.45566535503212, 670.4296661845915, 673.88570074577103, 674.32424925452437, 679.55954786616451, 680.81741104926118, 682.37612334085588, 684.14423992626951, 685.94130850716192, 686.66624466395899, 687.59626363589473, 689.4043633488933, 690.21477873929143, 692.42165596254483, 692.85960001755211, 693.63618469701885, 694.85541662258856, 694.8837960854521, 696.66895828713382, 698.1175929022254, 698.65057333769505, 699.09822748422494, 699.40257186300687, 701.55816496338821, 702.77826781352258, 704.06497759886076, 706.24734213941565, 710.65595979615159, 710.7798762504159, 712.55232725098347, 714.02667091627711, 715.19822079244557, 715.91827653300629, 715.99975609949729, 716.41633987518708, 719.26975322375165, 719.39293500199551, 719.57620307873049, 721.52970184062235, 723.85845650583099, 724.76732549363601, 724.82156233491082, 725.77307304367355, 727.03664823574388, 727.29959598197115, 727.98133839581965, 728.43709191693074, 728.56827740518361, 728.91311548088606, 731.81777169503391, 733.4593091535852, 733.71168046866217, 734.88220404692629, 736.68030336428637, 737.26244429161795, 737.96059275251037, 738.01962092353585, 738.83033405950357, 740.11143685391255, 740.72671363582947, 741.67539936762989, 741.75943799089566, 743.26191784329069, 743.48215855592616, 743.69376710586221, 744.09475044374881, 744.77365200896156, 745.25998305062922, 746.40382195736572, 747.66892952763976, 748.07991284739035, 749.12618620898729, 749.93818661287878, 750.71071832221014, 751.68368032523688, 752.91994972373698, 753.15676488817996, 753.41208213631455, 754.26572157394025, 754.39009713006715, 755.90245282113744, 758.81148696476953, 760.19272671125134, 761.80717954225179, 762.34815434990651, 763.06256804860777, 763.11119610857475, 766.4975128658657, 768.15588537946292, 768.47166489499818, 768.55515602517812, 769.644089975876, 772.90101341054662, 773.53239159577413, 774.87798428104111, 777.18403190981519, 779.89445834415653, 780.95891199642506, 782.57994147018235, 785.20045550647751, 788.18971883568292, 789.42899173531077, 789.56166732352858, 789.86137430060285, 790.67954737396713, 791.5623345317648, 791.70783480031457, 795.02397449699595, 795.9709960970805, 796.76432603200249, 798.31193609386332, 800.268483369107, 800.72016924549575, 801.82326697678434, 802.28781969098213, 804.61469404250795, 804.81314075876458, 805.7007064706213, 805.77581932693431, 807.09313948823342, 807.97332683147431, 808.39141876683311, 809.20296098749498, 810.1801585436649, 811.63350608632356, 812.1743857384439, 812.92168988616845, 814.47059497858561, 814.54652244455576, 816.19300734601688, 817.72765613981574, 822.86939551322985, 824.36806675175751, 829.33951087805804, 830.24254785305334, 830.7341502451203, 831.37318817923358, 834.70824741103149, 834.84301061195345, 834.90958960223497, 835.63746656417447, 836.23182782299955, 837.14760886938484, 838.88431064857718, 840.86983145284853, 841.91071549224171, 841.93972845140615, 843.79411643483729, 844.05026234150057, 844.78383625372976, 846.27702169448605, 846.36058615857644, 849.43919581408443, 849.93219600596899, 850.72800655451351, 851.21315938322857, 852.33385772010809, 852.37082262779404, 853.43349698267957, 853.47069232162323, 854.86495223692691, 856.52679478331095, 856.73354148784688, 856.8000411890099, 857.35899824503497, 857.59528213501426, 858.47212903777029, 858.56388929856212, 859.03252675397414, 859.68593160819989, 859.99110616063206, 862.81191991050514, 863.21242152747072, 863.24592346841973, 864.96708891160347, 865.27999549145522, 865.67392902923666, 866.34275296072178, 867.9741018637352, 868.27559304291958, 869.40700721281837, 870.66425349819622, 871.21101992915806, 872.41612011481891, 873.27441403168109, 873.87647638464591, 874.72742370706908, 874.75282558527203, 874.78170879913466, 874.99419111700649, 876.42119813508805, 879.22803754042127, 879.68195528319495, 879.94453168710163, 880.02884796539922, 880.21518459569393, 880.31733444896167, 880.45269957095297, 880.49698287746492, 881.07553082462198, 881.32815459988615, 881.67684080452455, 883.31410092032104, 884.21279162613541, 885.93610232313381, 886.61783074360596, 887.0156728628333, 888.59501129506248, 889.09186307139339, 890.76040083261785, 890.78144297385359, 891.57992721244477, 892.10622738578513, 892.82040779079341, 893.48680062531207, 894.71052344891302, 896.0450442122916, 896.13967357627439, 897.87202250396331, 898.55356292333465, 900.47286898563686, 901.40143042678221, 901.51300728683873, 904.67174038917426, 904.73058521011421, 904.99847871656414, 906.35397651538722, 906.936242270869, 907.2282421402449, 908.30291449288677, 909.17832278443154, 909.21453579041338, 909.454111328968, 913.68483406349844, 914.19594895504929, 914.58406220504833, 915.52971329397212, 915.8210078348551, 916.09111003223779, 916.76144241520819, 917.22329199797832, 917.29061786768955, 919.30746376571949, 920.52138324732539, 920.76794406601152, 920.9980077265468, 921.76301477997299, 922.57634087910606, 923.28826848277117, 925.24395928575507, 925.97257213641626, 927.4130131160191, 927.54159903584116, 927.75764732503717, 929.03040272250632, 929.25656037916542, 930.17715706472279, 930.33482748879703, 931.29860514973552, 931.46082927036935, 932.3581327315668, 932.66668975557707, 932.99016283555432, 934.04079340570081, 936.22138224745788, 938.39715103490357, 939.56818944492454, 939.78455805947169, 939.81257725693604, 940.92819270892539, 941.53126821573801, 941.89130880135281, 941.94387098909044, 944.43875947671324, 944.46335559661998, 945.29086654431114, 946.41557266317318, 946.51808535114924, 946.93141337028499, 949.14725331057889, 949.615945138195, 949.78833971189238, 950.00030082735088, 954.07125217834164, 954.20159703808997, 954.45086997332044, 957.24980673546088, 958.30536339286641, 958.37098788609001, 960.55066419008813, 961.80844580408996, 961.8360312574066, 963.09963626580657, 964.76500922530863, 970.11904922229769, 970.62344792134286, 971.30228073832097, 972.21415128915146, 972.39019427560243, 972.49035110106479, 972.77613226624192, 973.18542247742778, 973.70126896621207, 975.35776935973502, 975.45141443099499, 977.1808888464783, 978.02265929463829, 978.08497800255122, 978.65980452721544, 979.62218787656286, 981.37877254862951, 982.73845205203793, 984.28629726574388, 987.00554462540208, 990.23187063827356, 991.0133201049083, 992.26696118608629, 993.35659843169992, 993.38791200493608, 995.14942925142475, 995.18306615817448, 995.72483350535947, 996.57903188784746, 997.87053503705954, 999.90703004042189, 1001.4320102389727]),array([56.45577317978244, 56.706129192507937, 58.235749506877546, 58.533089173295409, 61.121418121288251, 61.31605764160544, 62.25131724476239, 62.48235726838741, 63.790769651040442, 63.879591737568433, 64.371290155231648, 65.673754582184927, 65.935224561785915, 66.771890709773629, 67.256331246418654, 67.297792904944842, 68.808041058845816, 69.763315083757504, 71.06799681866498, 73.060001861647976, 73.621198732504894, 73.659886226668235, 73.938750077098945, 74.49434073914037, 74.913886236121442, 75.548714335369667, 75.615437426868851, 77.367913127462245, 77.77846371589392, 77.847167355093802, 78.680992537355195, 79.137902119654171, 80.968788060130152, 81.957263417051067, 82.090306393267554, 82.329812458853212, 83.462233376928211, 86.697669861786636, 87.268743119901515, 87.296718609632038, 87.534650931070288, 87.922491571360979, 89.396989436723899, 90.090697768043242, 90.898129897924107, 92.540631127024795, 93.58199660339713, 94.997647792329204, 95.746142384662278, 95.874343580329992, 95.94008016208214, 96.391712161961152, 99.305780104102993, 99.602810407658026, 99.634140894228267, 100.39645852235742, 101.55050601449895, 101.59063565747384, 103.58169109130611, 107.39741630133001, 111.93966761665104, 112.18430030032954, 112.21833928694484, 113.50555268286826, 114.29882786346117, 115.58543923559452, 117.18127486897689, 117.5924438628452, 118.98216757368849, 119.01472837913062, 119.90808393043901, 122.15794255904261, 122.38311768949998, 124.32949781764491, 126.57847781117485, 127.30600626237519, 128.48922839857016, 128.73440858678765, 129.13002536087976, 129.15471317988067, 129.82159314084092, 129.96684848314689, 131.62964459626718, 131.74608153547084, 131.77144401931679, 132.2734682986576, 133.36814068913333, 134.08818046407518, 134.18628143040806, 135.15387712004949, 136.91034891313788, 136.98580680396796, 138.48942374452048, 141.5527174563459, 142.5808161491438, 142.96882772125269, 145.20266622506969, 145.32801680314674, 145.92607852767316, 148.39395478715812, 149.00883678960307, 149.15559612962417, 151.2792606287795, 152.44615016975112, 152.76895455390877, 152.93139443341897, 153.48657689465472, 158.99587907921327, 159.12736434410837, 160.57205596695889, 160.72965742683718, 161.64554527220525, 162.10433960464692, 162.28192831558471, 163.10454326294305, 164.53252233675443, 165.60033870771542, 166.54253101076733, 167.27954047737526, 169.58867193022346, 170.61280047769736, 170.91529731440602, 171.76983298498749, 173.96126145531221, 174.74408549965207, 174.8107869961492, 175.77287098735911, 177.13836005783875, 178.61454439776284, 180.64006699903373, 183.26190304248397, 183.33255188545013, 184.7437920646201, 185.95206054534506, 186.8768735317764, 188.08459533704877, 190.88028139583687, 191.3250135578171, 191.46997472365112, 192.21866417185905, 193.55897801183721, 193.85818715445163, 198.24771948625329, 198.29250088591257, 200.89863123454907, 201.0767389608859, 201.76819645623553, 202.00746392021117, 202.90004624086637, 204.04785472105823, 204.17554320246509, 204.74629778465274, 204.8240707405478, 205.4149542388256, 205.48314019672321, 205.87613040824678, 205.96639453264976, 208.1024965757351, 212.08754864499241, 212.83034717839445, 213.05072930737509, 216.39659809998975, 217.43458382684193, 217.91024569695367, 218.04053200964975, 219.66031922032718, 221.72522755116549, 223.23959445876977, 224.00343757719136, 224.29127193617572, 227.50230786155214, 227.7878638015882, 229.05662134170896, 229.61154043237582, 232.84693006826976, 233.05678623148091, 233.96449057838419, 234.51146799945064, 235.38917278905507, 236.26272736057052, 237.94098305046049, 238.33998053112728, 239.80167998872832, 241.25008488799591, 241.58917883089615, 242.61048413126994, 243.48305416834009, 244.06042253224064, 244.73795478982981, 246.06382059551706, 248.12532671611169, 250.25361421726529, 250.29388284817188, 251.07136241965122, 254.79410578980276, 255.89231263107803, 256.10017325358928, 258.28296237066712, 258.45229844322171, 258.88613591906676, 261.43342954229541, 264.12002472390566, 264.32690132999488, 265.69580578059509, 265.72091706083637, 266.92907947006967, 267.50909958302333, 267.58412085178497, 267.65763357507876, 267.77797788057387, 269.09727114240877, 270.45753378885905, 270.59287618758941, 271.61271042779106, 273.13637835905973, 273.43363994390626, 274.17973391491279, 276.38501310026265, 276.74283038007906, 277.30083822347456, 277.85265463922082, 280.45652393775481, 281.74273890016934, 282.82360880948977, 283.9510955237966, 284.73950976358401, 286.39558254297907, 286.71842993609118, 286.74044135919144, 288.09337813402198, 289.15053560491174, 290.11770584854918, 290.14573810868632, 290.76726087587463, 295.26134917542163, 295.77449740388835, 296.19025021082876, 297.55574388156884, 298.26022873734337, 299.1934849578501, 299.59423610753134, 299.70701047316209, 301.1215233362127, 303.32577383038682, 304.52319472331362, 304.90949608649544, 307.06911295717345, 307.19210345564699, 308.50735417552306, 309.65287897440436, 309.77650161529613, 310.21713825132406, 311.69568326080736, 312.12786238148396, 312.79445249285334, 313.77694940436913, 315.79881932981027, 316.09492809967526, 316.58618500874479, 317.16431012775536, 317.20351002472, 317.89384748649132, 319.77503596873743, 320.50666449744426, 322.05546243642806, 322.5310353498798, 322.62304466857006, 324.16852194745121, 324.86688274940519, 328.50538248822954, 328.5698390725297, 329.07780124774592, 330.73928264885325, 333.2919304523885, 334.2778009133977, 334.32518701011975, 337.99909411979064, 338.74738970148945, 339.11205913604567, 339.2350631071435, 339.49135799837387, 339.67867127828856, 340.07151981782272, 341.17483588422573, 341.7640107965496, 342.19442846609951, 343.78349179269406, 344.50065120322614, 345.20500664606038, 345.96879850132842, 348.79842249233383, 349.50952760767495, 349.56676602308892, 349.80523377079055, 351.01075090815834, 351.71292664362744, 353.10269371338063, 353.56806555825267, 354.46752472008802, 355.99161535604549, 356.28283876102097, 358.66906948364687, 359.04755368868467, 359.85379380092405, 360.4689857889457, 360.66528928907155, 360.99616374013556, 361.20527499835657, 361.4905590884282, 362.08555839646323, 362.27322601806242, 363.18547647132715, 363.97380662057964, 364.45433317819288, 364.95029833559084, 366.69230131320052, 367.02163625966188, 367.31754834209858, 367.72582371002085, 368.81144422445942, 369.67530709956986, 369.91776203103291, 370.55657459864813, 372.45668808796455, 374.22777920261717, 376.06309918222541, 376.69158895477722, 378.50299116191064, 379.56851788747292, 379.80961695060302, 380.73642313044155, 382.31965153306282, 384.78968975364455, 386.15645577033905, 386.45363557398719, 387.55347136495323, 387.72791424811084, 387.9761456375536, 388.75079309189414, 389.22043205692751, 390.17071361716131, 390.78695284062275, 391.42504459693072, 391.82238533337636, 392.15215435357965, 394.90365344787676, 396.89830642599048, 397.22631244014934, 398.47753536716152, 400.56191375656988, 403.00060288593698, 404.04750085456806, 404.60331079582204, 405.43600961832016, 405.72054547822557, 406.13571495295969, 406.8054528382533, 407.54724623316974, 407.91266364907096, 409.3309909175926, 410.65815926272876, 410.88660773157562, 411.23798238914299, 416.04961503950415, 417.15090013244463, 417.77837013607433, 419.19822651259, 422.01793052935767, 423.48405772841528, 427.1640660491359, 428.34889025027837, 428.50856799250016, 429.69867798864783, 430.44093229146034, 432.80470699858756, 434.24836701078004, 436.31711164653126, 438.02795802672642, 438.14403619983801, 438.21573621513164, 438.72746828387875, 440.52556869764777, 441.82572393013413, 442.55579233542727, 444.21251289427352, 444.59284753842587, 444.9507022055314, 445.48090587866682, 446.66029131037368, 449.34051754871047, 456.59081394792452, 456.71687218061669, 456.87492314983734, 457.86285217104785, 460.08682650195414, 462.23345299527131, 462.69072552296961, 462.88428740343818, 463.29530642258061, 464.75544379495619, 465.1152424551513, 466.51530941714151, 466.55346675874711, 466.6746368008225, 466.83634291069882, 468.40939270061489, 469.00973665707676, 469.678579822904, 470.02178954762212, 470.31611383318648, 472.0187023599193, 472.25633068367665, 473.69325510493684, 474.10792719176226, 478.14098969869372, 478.23409494321578, 479.47272645819515, 483.18815453526969, 483.53525008397895, 488.35322298489996, 488.47888048451387, 488.98856681556441, 490.52964042970149, 491.07274428833244, 491.43466371440741, 491.53977203492593, 492.15075700913576, 493.35155820685895, 494.72785137096605, 495.56809598284957, 499.11993318266002, 501.79009032989302, 501.81462370282327, 502.04501497810514, 504.72201508629411, 505.11415546872109, 505.51319374383587, 506.9112800202721, 506.97702838913835, 507.38480097805297, 508.05237532682008, 508.30382996005068, 509.00875554482752, 510.41255942266764, 511.7393335285264, 512.05525437226652, 512.84883277855715, 513.78146466615487, 515.12890094340264, 515.48526313161778, 517.38539361006201, 518.2599245188652, 519.58557611537583, 520.29041479030991, 520.9276985569519, 521.0571749615458, 521.40474806234272, 523.04587101481866, 525.70918138149909, 526.86765241824878, 527.29969693527642, 527.56758871541945, 527.67033672549837, 531.80397283219565, 531.87265227892453, 532.55886526401548, 533.26544978125833, 534.8789496051221, 535.28768870321392, 535.76311240892448, 536.40791881765426, 537.27820415657857, 537.69103811304876, 538.49194255706573, 538.71997345717944, 540.14748954352569, 541.54638830385909, 542.23492942055509, 542.28450694398498, 543.04460373577479, 544.57326461247874, 544.63343604082252, 544.83366132184449, 546.41469547697898, 547.41000816654309, 548.34430494494814, 549.35716206332177, 549.70503520104739, 550.24246935590895, 551.85553252990758, 552.54138310622795, 553.06298573013635, 553.43423898803485, 553.68730664448674, 554.47226281401765, 557.2860781497676, 557.85807106589266, 558.10744510579832, 558.71148702642438, 559.00564975143311, 559.05763248789538, 560.63685204187402, 562.43098672070244, 562.60853948227793, 562.81011820501328, 562.95321265371979, 564.26964706924991, 564.72796046075473, 565.20127919276968, 566.40557129628257, 566.69633176031493, 567.46162478333213, 568.07040324128695, 568.34728831511939, 569.32542938419124, 570.05335630662205, 570.29470329317223, 571.19654940399732, 573.1010273673362, 574.31964305012832, 574.50897257128258, 575.52915575332759, 576.21513871496484, 578.59887539918236, 578.68445084638518, 581.59362235419712, 582.24017418970629, 583.51225116821774, 585.68650108820862, 586.3853289657502, 586.69384423592294, 587.47415768124563, 587.63714514461799, 588.62897767859943, 588.68793948444215, 589.53227477529026, 590.54369729064138, 592.42840684180942, 592.50646014785809, 594.61654149462686, 595.52189149039191, 599.04805762582987, 604.012148787623, 604.06773980165076, 604.669190731046, 606.80644289487998, 609.0256855085662, 609.66188477573007, 609.93237286496117, 612.33506460258286, 613.32403729897692, 613.63852911761376, 613.71715478826798, 614.09282602447036, 615.81820756705179, 616.31133925105553, 619.56075718222792, 620.34274469279421, 621.20181244960747, 621.28458521719563, 621.93941509638728, 622.12475746134976, 622.36573507661626, 622.64711557898318, 622.81335126808085, 624.22224624035823, 625.33921722664923, 627.2087391223514, 628.46645267632903, 628.56957454100029, 629.03783589787838, 630.15986802749308, 631.84705624680214, 632.41037602471602, 632.66836441819828, 633.60949696610419, 633.71741225221717, 634.77914932811791, 635.26225954262577, 635.33804804871409, 635.8392804425639, 636.79523190527959, 637.32573125037936, 638.27001224053811, 638.46132363665379, 638.78132487600135, 639.19917230440285, 640.58457689252771, 641.33286517983879, 642.68712058243432, 643.55078492237931, 645.77130574017906, 647.22292908818918, 648.28058171790008, 651.59734476496408, 652.81646494922313, 653.78306214378256, 654.97232284344295, 656.01983871722587, 656.3825530138372, 656.58214763050171, 657.58236422888331, 657.9081273775156, 659.15061377998722, 661.9614620998799, 663.75175245566618, 665.84703027477519, 666.70141705087917, 667.981156629206, 668.83070845419627, 669.19177180283691, 675.3262654707338, 675.58710807186776, 675.66026620701541, 678.43862905815797, 680.8999418136417, 681.0003262402588, 681.1583611877636, 681.52750119845609, 681.59009448340066, 681.93609687690889, 682.29966556191982, 683.20820014493268, 684.57465485190585, 686.43735753183944, 686.86286744901975, 688.65701792199718, 689.02055249586772, 689.3699908400713, 689.3984057983605, 690.12097980190958, 691.79832553482913, 691.8625934145382, 691.90142413229216, 692.57546898550447, 694.76814612937233, 698.21159826550763, 698.95789734217863, 702.11996461693968, 706.22523173895831, 706.98634477947587, 707.47479541037615, 707.89760088794378, 707.9753356894164, 708.04335142086552, 708.39317168351351, 708.66545820204067, 709.22546081150836, 714.24893375032661, 715.14724874438332, 716.69778883273784, 716.93845330695444, 717.30118934448433, 717.68573829614377, 717.83079754074288, 718.25609694540094, 718.30491304970531, 718.33390999249377, 718.89819082159238, 719.79173500280626, 721.00523481283176, 721.6035432270163, 723.07672905892434, 723.09791052206594, 723.35667559555532, 724.9935274766591, 725.06586067496062, 725.24197183581259, 725.62694952771187, 728.22748063367442, 729.52970653365162, 730.81454096772609, 731.32518957491982, 731.64108696934068, 731.70532974361026, 731.99732832778625, 733.02560740311037, 733.23400207351449, 733.28074184659886, 734.08761013174035, 734.47628253362893, 734.50742941016404, 736.34862777106116, 738.37341202811865, 738.70957056215059, 740.58997756812528, 740.8861864459667, 742.97230496738666, 743.9765139264947, 744.92218677346693, 747.17116655104212, 747.41497395115857, 747.53345701163914, 748.26289690451893, 749.66162800873701, 750.00566844770674, 750.04081809060528, 751.16526278458844, 751.33976326705465, 752.52034553685041, 752.9797699002437, 753.02182159057804, 755.44987966643555, 755.61016743820039, 755.93381051513302, 756.4058705296095, 757.5713681021482, 757.5986233184874, 758.60097100477117, 759.62721949494005, 762.30452751484256, 762.64405429180067, 762.90165752031317, 765.61536775058937, 766.423176139475, 767.83970923290906, 768.81368083090319, 770.44527834640087, 770.65762606112071, 770.76392522074138, 772.72023321912741, 773.04286018291884, 775.028901079761, 775.74755978442829, 775.93649017900407, 776.36608508725783, 778.31731636954044, 778.94791309889217, 779.92974920357358, 780.23385517545705, 781.43603699776747, 781.93040781008642, 784.00730867973959, 784.05640119455597, 789.04420100835614, 789.23976833042684, 789.65401374623707, 790.97595985451176, 791.63477709540859, 791.83120264239744, 792.44224367054892, 794.58767056552938, 796.61104240730663, 797.23426146702036, 799.38629191985228, 799.51414324393431, 800.45701265597609, 803.33260449457839, 803.36936634380208, 803.58101727538349, 804.01876922076065, 804.2581093306668, 804.59163458187459, 805.11864896400209, 805.70916238425423, 806.74051515284123, 807.66429858686922, 809.87585607821222, 810.72708206978882, 811.5079164733603, 812.45860252815567, 814.17456347866994, 815.34314364639386, 815.40142988422781, 817.71127892977825, 818.21602552942113, 818.90210428800071, 819.11823675388371, 820.3766343763217, 821.22529431736814, 822.48282807951591, 823.37643115744117, 823.59446395772193, 824.5424611482465, 825.32032965469955, 825.68681943577076, 826.25393900386916, 826.56361595090573, 826.80239772736172, 827.56082991136043, 829.43433295815134, 830.55710640922166, 830.82070013315661, 831.15272368241426, 831.97770949212384, 832.76687496081161, 833.38248673799319, 840.19741018573791, 840.42178515940805, 840.63414711669134, 847.47058375598328, 847.53760167247708, 847.92632800464298, 848.26537108706634, 849.12157533257903, 849.5227678498153, 850.2724473771201, 853.79651757961858, 854.22203081258704, 854.60996967565939, 856.61500489960565, 856.9010845738685, 856.95013440331206, 857.60212976926675, 860.67646047198878, 861.18504001597091, 861.74553853691123, 862.50450850422726, 863.75634194990016, 864.00890221506916, 865.51633899840999, 868.11698435045514, 870.18714241248256, 871.45879365929773, 871.48972663410711, 872.03178031158802, 874.42914238156834, 876.14153344543968, 876.39604162457579, 878.04828723537128, 880.25377481033183, 880.32217329064554, 881.24312541874838, 882.38624565367832, 883.02364827279712, 883.92853259598564, 886.4341847615193, 887.18823695296146, 887.93238296185893, 888.17945980602167, 888.26579660401524, 888.69912985750648, 889.18998158592103, 889.90953470404418, 890.03831158619607, 890.37150832010627, 893.34345793287389, 895.71412778736317, 896.80715845326665, 898.26201058548884, 898.9515411251549, 900.30415123847149, 900.70522623090358, 901.07789178986729, 903.66127522111833, 904.37428822248296, 905.79879345474149, 906.52475331985067, 906.57220582682623, 912.16620440323004, 912.20254329876445, 918.92562254845382, 919.71765202284382, 920.52953188775859, 921.66920756427385, 922.00368187165623, 922.32738763267082, 923.62192294163117, 923.85024314279963, 924.54880941008378, 924.82249539001145, 924.9249199026732, 925.34514984647933, 925.37387507788708, 925.47405699765932, 926.38256495580072, 926.70742035855596, 928.7010617252281, 934.61105713426139, 935.36176858309818, 935.5385341140709, 935.62940902647256, 935.66472522766003, 936.54607611828101, 936.77579071362493, 937.0170660642309, 938.47761598833767, 939.10730564255641, 942.16372527610827, 943.33914528798209, 943.36040462260758, 944.67327041314297, 948.83718601224155, 949.65641314308925, 950.16396415975862, 950.92854112459952, 952.17600945136951, 952.28247209001051, 953.30937976033965, 953.72753131717866, 954.1082270077577, 954.60848540448683, 954.83951114145702, 957.18211222029186, 959.06910423512875, 959.34985271944447, 961.29263359288905, 961.49951666230754, 961.52070056898958, 961.90319998053337, 962.41658413005291, 963.20792206546446, 964.62905795918346, 965.01975122654994, 965.1588177704657, 965.98816875075624, 966.14085277420986, 966.17483396790237, 966.73032171850161, 966.76126575048875, 967.54800534922288, 969.4406572176789, 970.83357941327404, 972.19004740776586, 973.60119992439331, 973.79310430289604, 975.24256064290626, 975.74152486279888, 976.12563730479906, 976.66093402482534, 978.16897202879898, 979.5458568042144, 980.21603012601713, 980.31942617623588, 982.94384504708432, 985.10409995886766, 985.9754305018414, 987.35800616390588, 987.59084506195245, 988.32866483440216, 990.29944665426274, 991.74230910454139, 991.77019870970423, 992.47433161103447, 994.3285686320437, 995.0136907941893, 998.10834295076472, 1000.1295043841646]),array([33.062819221866171, 33.221445940985859, 33.428304119060542, 34.422831182582748, 35.044097878981759, 37.013206288498829, 37.515070693170593, 39.228001230341526, 43.128323366902009, 45.74571599024172, 46.819706853355811, 47.940138237709633, 48.500873488628081, 51.234487495420524, 51.521932326476851, 51.65407099042163, 52.954059844284622, 54.165046583158038, 54.730726874188512, 54.82077411584519, 55.999150883786534, 57.038022737444088, 61.99413049200993, 63.390285494341292, 63.715586510334688, 64.77264499979708, 67.281830460121796, 67.953911827250991, 68.223227145834016, 69.485514315354678, 71.006266339085727, 72.69233402132339, 72.729338555675511, 73.564291264373523, 74.410639449011498, 74.890523815143652, 80.921100245739979, 81.578362319566295, 84.022426537440893, 84.759586022423605, 85.248996535954461, 87.784608882741765, 89.329609753875204, 90.623280272597285, 90.720830074628026, 91.061160581014988, 91.116711678739421, 92.289793811992396, 92.413049455105607, 92.924464116588027, 94.025980849635602, 94.166367186943347, 95.301029879644602, 97.130981179070943, 97.720672378007365, 98.482275438000883, 99.945361780192513, 99.98942332955653, 100.57332180425588, 101.04403483726689, 101.86638327171875, 102.22925459000091, 103.53531074998376, 105.94661680733786, 106.29140532076335, 107.43607116752688, 112.60781558618123, 113.69071179321752, 114.41806005942644, 114.56433462519279, 115.62327256417724, 115.93816208188215, 119.47347396895734, 119.72519203091311, 120.20932023418092, 120.86364157028176, 123.67496179610062, 125.03353958145524, 129.95674607581228, 131.37051239537851, 131.59031387251642, 131.76471060092143, 132.27622024608661, 133.18243085789592, 133.22137061918673, 133.74845293969821, 137.29744426628633, 137.86261524475179, 140.72752166116766, 142.14013304080365, 142.59167439520422, 143.3700111800521, 144.43161292193651, 144.61772677522731, 145.03989485486173, 145.18149342977438, 147.39583266340938, 147.68953544419193, 148.79038108900045, 149.88461174909307, 152.06435456951499, 153.10551332009183, 154.00274308364104, 155.27291169313173, 155.60043901432607, 157.13872540425606, 158.72489426671049, 160.48415674060237, 160.81535206334408, 161.91695334783813, 162.92037774744549, 165.16252057897717, 166.21390934437355, 166.99944487796742, 167.83869317520643, 170.32873536180364, 170.68885489420524, 170.92319248728981, 172.99903338145538, 174.47330190977934, 175.06015819837938, 175.16739748839456, 176.95812467039633, 177.30165442658117, 178.62853231117623, 179.21444590368699, 179.23454771945151, 181.47884623911392, 182.87845729036766, 183.0115767871095, 184.27724658215351, 185.97647176699945, 186.74969173712716, 187.13948789450072, 188.08012898752889, 188.79748210171894, 189.6296436307025, 190.35880246315071, 191.18725796430411, 192.32626821331752, 192.49366274511334, 192.62552582550487, 193.64903943549677, 194.58903367260021, 194.61282474373928, 198.2607156754934, 198.43909927194255, 199.79580796331456, 200.25400158620479, 200.28510356889956, 203.14478062370975, 203.97800170986559, 204.2163460869987, 205.76566810635299, 207.12083067464027, 207.55172364549242, 207.85178600327831, 208.22258779426789, 208.59500859228658, 209.94387236996272, 210.34469275710282, 210.40315982689393, 211.14290554962662, 212.56715082324732, 213.30028475176653, 213.51852941127149, 214.1883076006504, 214.90906150597613, 214.94008215606928, 215.06327336964478, 215.37251159470105, 215.94773624269033, 216.32069939498334, 216.58616028607125, 217.74433533564223, 220.14662699745946, 220.47938251041705, 221.33406416673552, 221.70371250389735, 221.95099779744979, 223.36748299159092, 225.19483715277386, 225.33000567751583, 226.28148154941519, 226.7860051761848, 227.66466427943396, 227.86884556162951, 227.96986780681314, 228.33404818368408, 229.7783111480795, 230.84315394978955, 231.41076940356282, 232.28411648042814, 232.34022605048011, 232.39108847763629, 234.90057024751826, 235.55889346815039, 236.87560794589703, 238.38250564119298, 238.86924892506707, 240.9465485231716, 243.32359067186948, 243.67520110191231, 243.78017427417777, 245.81906906257177, 248.03857604268887, 248.28753876688373, 248.64295064482062, 249.19689015376784, 250.10522834370911, 250.37597362978832, 251.15338763487725, 251.22012558986236, 251.49313862874655, 251.55301673241632, 251.75121595334687, 252.03236222731843, 252.26623190260815, 253.00000641243548, 253.58634322193453, 254.53116426803626, 255.37354784256527, 255.49732502232402, 257.63635830021133, 258.34906196058648, 258.54359020012146, 259.30131339861708, 259.36612708004856, 260.88306769370809, 262.94777235213019, 264.38223819259957, 266.54635239987488, 267.01352066217993, 268.60769974428757, 270.20985710228825, 271.44909982532488, 272.82956083101493, 273.56428356280969, 274.23185963524543, 274.5127221052943, 274.70928849145008, 275.11818501001238, 275.58171764064889, 276.61970691934727, 277.81059977722686, 278.77376952547434, 279.15715421543683, 280.10340011130813, 280.19991305303824, 281.32763240512497, 281.44378576533239, 281.96817452961909, 284.43774083259558, 286.71053207063056, 288.26146732996642, 288.54803321874311, 289.11563469231317, 289.21105542739713, 290.71823655483604, 291.12821503127248, 292.21064947052605, 293.21067158482316, 293.67494688791669, 294.78274285253059, 295.31548244756573, 296.52718313223187, 297.08728408881154, 297.1196739354026, 297.22513072644176, 298.67523040830486, 302.6418339076692, 302.89052761963006, 304.10950887550013, 305.21791154282857, 306.46507737019982, 308.14556316795608, 308.90028610941647, 309.35177619527138, 312.69837631619532, 314.96496878295142, 315.59518094755856, 315.97360774155038, 316.16818704118316, 318.3301219107982, 320.60754890955195, 320.93953219527458, 322.9489225026087, 324.15461754538069, 324.30698377983526, 324.34726763049724, 324.50174271107454, 325.69989022597809, 326.97281055618549, 327.8727649199742, 328.27191494587976, 329.35912653027094, 329.49276098303937, 330.05191811936163, 331.34920031917687, 332.6805718689638, 335.24131736985311, 336.04693047059999, 337.34032233673116, 337.50007288292079, 339.95804741356653, 340.42383827504267, 341.68151527967723, 343.03201245191974, 345.1825331774503, 346.10568931238419, 346.77463407546708, 347.68422301094137, 347.78014547021593, 350.10958411199124, 350.32257929081294, 353.89392082363139, 354.13459850354064, 354.22826229864455, 356.45889745807261, 357.41354771627897, 357.74151519947367, 357.76633586753616, 361.57384360022797, 364.06337915781978, 364.14201026374684, 364.52726719928046, 365.07359402856537, 365.34959853914933, 365.4748116070067, 366.87934101520602, 367.6438392962304, 368.84730935535219, 369.05168130359448, 369.143281183917, 372.64058763655004, 373.99010866984156, 376.85293116098217, 378.49618316857487, 378.9904144499306, 379.1322604420323, 380.23297531130783, 380.44822811600511, 381.77424518276058, 382.65663014745041, 383.69353556426819, 384.06945201465464, 385.13364234090886, 386.8451641831723, 388.30549338955871, 389.52114105741981, 390.94753327990361, 391.21192013405846, 392.57508186298065, 392.90221732351711, 392.98046055976624, 393.05182293912731, 395.10891998267226, 395.28745501655675, 395.428195779546, 396.29220700062461, 398.88920481135261, 400.31478892707094, 400.70294437035921, 401.11723530517975, 401.27928428426583, 401.81802455238534, 403.26582616445285, 404.01038034078806, 404.1747351321647, 404.67543180217859, 405.14025037323643, 405.17820437659117, 406.16900967016085, 406.42015909813352, 407.69577618081917, 409.26740520618563, 410.81320517537057, 411.72393797271121, 411.78551988183068, 413.71350300357517, 414.49891610943484, 414.70045205650626, 414.91567631754111, 415.36098956436643, 416.36393911527256, 417.16628862792061, 417.96935136635858, 418.85985045652382, 418.91602816145507, 419.78901560211114, 423.16069736223471, 425.44457176318144, 425.67298379473107, 425.83151016424722, 426.83001755208954, 426.9424538923879, 430.57072350621917, 432.45842608287614, 435.40667521804943, 437.97788316108227, 438.78342523842019, 439.17758060552364, 439.89587303926027, 440.24662856900909, 440.91190829971015, 441.66749089819166, 441.7166518925867, 443.31311827758771, 443.95391356648412, 444.41301639917941, 446.33794159795451, 446.42921721822887, 446.86760176338123, 447.99688149035791, 450.15122671139011, 450.46851175411473, 451.63419384440152, 453.31242117622071, 453.74890985710181, 454.41679474521112, 455.74983944413481, 455.79255539735334, 457.74275636753669, 458.08172073874852, 458.25108020730039, 459.53419782748819, 459.70241261143934, 461.06734258431686, 463.80803930654127, 464.88489388649356, 465.47720800713591, 467.62327587623855, 469.40588920851502, 469.56272516218718, 470.54914021180713, 470.84314600929957, 473.00271431589334, 473.43798541540889, 474.73778176263829, 474.91249523438955, 474.97950259271994, 476.72935772644462, 476.79274212770525, 478.18485208979877, 478.35541510937264, 479.32290150916333, 481.6086659793088, 482.9604286543053, 486.44033766747475, 489.39191536607365, 489.94936242758502, 492.08033179339282, 493.56809113318621, 494.48167785035423, 494.95157891471024, 495.82694940611867, 496.29309129981533, 497.76744255400558, 497.94635206906537, 498.31400557684606, 498.69706821768216, 499.21161977827637, 499.96422589938516, 500.14906538097898, 501.64395086763489, 502.16085534295655, 504.5306663004452, 504.59609187109282, 504.75327969821461, 505.12550728899009, 506.01372063925459, 506.06308735953064, 506.2769849647508, 508.29009062035726, 508.48670906808667, 508.53449221535521, 508.67327409078916, 509.38387819793212, 509.80092366601366, 510.04150297714006, 511.1809764608293, 512.29697540464633, 513.74746064914359, 516.76068232907312, 517.04580091759203, 517.41384870665399, 518.06069042524553, 519.055999773895, 520.25369713408713, 520.68959930956078, 521.32294479819609, 522.05171076415081, 522.33698133219912, 526.28944377438245, 526.83834926098814, 528.6330698371803, 530.45109995818643, 532.2376193510521, 533.8436769756222, 534.76460189651414, 535.78786286902573, 537.0142856497348, 538.22359331178552, 540.16076303770512, 540.37687511772901, 541.44888795220777, 543.11205660067026, 543.30648074781766, 544.70400440308333, 544.9979711781009, 545.83673384468989, 546.94237483904874, 547.27061938170436, 547.58573499741226, 547.82051499307329, 547.97717756051543, 548.98593554888873, 551.09624746493853, 553.12340865172882, 553.16258871821003, 554.01576009717542, 554.86437816159264, 555.26035762409958, 556.24855817658477, 557.08217244382308, 558.15539248398863, 558.68705562097841, 559.96900166799878, 560.41675588340274, 561.093055872435, 562.6675426607718, 562.92743943854907, 564.87343316739293, 566.10199757590146, 567.54491647668965, 568.09914309663918, 569.71602611216997, 570.15546755788648, 570.79828683532685, 572.41731898100636, 576.95979367697851, 577.0035050934946, 577.87496492575372, 579.17219816602778, 579.39688518721016, 580.42823443814871, 583.39878736590515, 584.09361631685897, 584.47277119334831, 586.50800751045563, 587.47495630897367, 588.75658384680719, 590.36881339788545, 590.5281039990424, 595.21965358251771, 596.69394954145707, 597.53138136503082, 597.78199416349071, 598.1200331606193, 598.2240054838984, 598.35765022934197, 602.61603335180484, 602.87015828172468, 603.60967864328245, 604.32003506732815, 606.92316927547324, 606.99357106137973, 607.25274765816403, 607.35726298877455, 608.96316529162993, 610.14970560309575, 610.68728325190636, 613.55378547963164, 614.56671822329565, 615.11645871747226, 615.41202345063607, 616.13802464225137, 616.8672744190111, 616.91716741491143, 618.24386898917271, 621.7512054178469, 621.86854901599543, 623.78165231746993, 624.65297845007683, 624.87423941558541, 628.05665589569765, 628.52051343727442, 628.66969219962675, 630.86485243520815, 630.92918731398424, 631.06046960910908, 632.74202453386715, 632.76520056583149, 634.6591981287313, 634.71260976603378, 634.85957260018131, 636.2482455344466, 636.7831734539235, 637.40561166896703, 637.54885482439704, 639.53064505863256, 639.66122869977789, 639.7146086350283, 640.22308188785371, 640.70914315939115, 641.1518966818461, 642.45234149243788, 642.49068855852931, 649.48452323036088, 651.03303336480576, 653.52169536683834, 653.57693997595527, 654.55534081780581, 656.29988667168573, 656.93277943508656, 657.01245739026444, 657.36689169435795, 657.50176425465747, 657.72245974410816, 659.01128815322716, 659.12004857781869, 661.95758741890734, 662.93054323165688, 663.23446900199156, 664.98581689224818, 665.11053347613552, 665.13662669350992, 665.33789130740763, 665.65823549918889, 667.20737720595355, 667.27786335757878, 667.75926712197588, 668.12234613105204, 668.85344916876727, 669.84761765308394, 670.32161239564641, 670.6562673223392, 670.95467306243791, 671.0653942861195, 671.74571529726416, 672.02624160323035, 675.46217893550727, 675.61340341489597, 677.9351258695948, 679.23893947216516, 679.62735510419611, 679.67197264040658, 681.32672869597627, 681.41916656991486, 682.10851365066355, 683.75639570215844, 684.16789384811909, 685.09823123672038, 685.54941599286065, 686.97604062033031, 687.93742959617384, 689.99071718768801, 692.33242653042248, 693.98228297411526, 694.16791874802618, 695.9290738117993, 696.61842286819137, 697.24657880874372, 698.23971164330101, 698.58668250593712, 702.61978090773414, 703.87589400605646, 705.63243760224577, 707.01977318333661, 707.55797686695848, 707.5908104410837, 708.18318672471742, 708.71297100128095, 710.71711478776911, 711.6054531903286, 714.32258833944445, 714.39776205824569, 714.68192668843892, 714.90935381630459, 715.5473431304971, 715.63986269513907, 715.92914418601856, 716.2616062625284, 717.61728708279441, 718.05647088557998, 718.96059194551799, 719.48223500563893, 720.84895178222712, 723.04422101363036, 723.37939451749958, 723.79013820184139, 727.80498007900906, 729.06890709167976, 729.7997705647723, 730.10310162819815, 731.2832292075642, 732.62071119664859, 732.79346128579937, 733.45353805902903, 733.67549255531412, 733.88931172303865, 734.58453579900743, 735.81795173300407, 736.16848631948835, 741.22292573736127, 741.89684013296676, 741.94972756810103, 742.00657100303329, 742.9080810999144, 743.36583411630977, 744.6681646977454, 745.36283215150377, 745.75786679669545, 746.92675384132485, 747.25936068504495, 748.82971566430604, 748.88189884784902, 749.48218099119049, 751.70659819457808, 751.91122957325877, 752.93310070252278, 754.28949052986093, 755.31477427885511, 755.50226555501854, 755.80004405440241, 756.54700577880237, 756.59437482076601, 757.36799156191762, 757.65979150906946, 758.72047317718284, 761.16539960088789, 764.88999891465721, 765.23854407150532, 765.29508796221603, 765.59907410317237, 765.92962471938006, 770.43443393237555, 771.85989261483655, 773.29413270631164, 776.3688238637867, 777.01757289036891, 778.09869958930699, 779.05394769245254, 779.29711163179695, 780.20096350315646, 782.54933721939483, 782.68590114294932, 784.57706847231236, 785.24331386269841, 786.36745366884372, 786.54516877695994, 786.76781741320121, 787.3964561211418, 787.65912461700373, 788.21959800966761, 791.0501322592645, 791.31103798491688, 792.38458736449604, 792.67440221524066, 792.69942374615482, 792.73493533640431, 793.07652918079123, 793.63860853841311, 794.25052883200624, 794.50896660349906, 796.17339214072194, 797.69261656665799, 798.42109437190993, 799.32446905039512, 799.54910515330153, 800.4463687817115, 801.48993384565824, 802.27888840760932, 805.01386230188859, 805.71846512850766, 806.02216762348985, 806.95126905903726, 807.14422702842205, 807.56951378312385, 808.28996424403761, 808.69606092148422, 810.52142005347218, 813.03363577646167, 813.15475173515381, 813.45561170906342, 815.38923196578025, 816.71939651640139, 817.30247134457852, 818.55889730050433, 818.78799020280303, 819.05333380501463, 821.55222762521146, 822.00122029564068, 822.98810661859739, 823.07998235686182, 824.60416427167081, 824.6455258313681, 826.5320221689401, 828.18486729827316, 828.79981634783371, 828.94667675210269, 829.48506562802777, 831.76803778515909, 832.76245934512929, 832.92261550947876, 833.4757384349582, 834.61852165678795, 835.60003908516171, 835.71635922288624, 837.270012775189, 837.57528051316115, 838.0905203791898, 840.01016930128799, 844.46857363608035, 848.78330650577243, 849.29403872032219, 851.12949593108283, 852.32755679277045, 853.31718457873239, 854.20047379751759, 855.54586999806099, 855.61437175920571, 856.49700577567489, 858.29120997568862, 859.44452804538628, 860.80041594385159, 860.87296649451787, 861.62186493500474, 863.08615234935473, 864.14147705009782, 864.6065482853046, 864.655131371876, 864.93600473766764, 866.1581239639944, 868.6854693452517, 870.4069886306014, 871.22839335823789, 871.77311371538303, 873.10913376981898, 874.18992786718593, 876.65817232233996, 877.94982117284076, 878.80400297872177, 879.62130462691641, 881.38624030492645, 881.42332383864459, 881.61629777476094, 882.59764881069304, 883.0448863775872, 883.64538872496473, 884.81508275820534, 885.27228681561928, 885.5052898532241, 886.30545835935243, 886.52110525994078, 887.83696147263902, 894.36266718769832, 894.83087796965776, 895.85081358667981, 895.99183034564271, 897.24757933955664, 897.68995475750751, 898.51013824877521, 898.64231723789226, 899.80494017186163, 901.95626424156569, 902.08505656899524, 902.34926417557062, 902.53381806567359, 902.72297436019187, 902.9617759989452, 904.17789471847561, 906.91077951237151, 908.12278176012501, 908.50134149580344, 909.85844763868113, 912.24195834776719, 912.94315554464902, 913.05833467432046, 913.64566206975701, 914.21704001292687, 915.22465339902624, 915.56259112195494, 915.66775516019027, 916.56595692158828, 920.52440600977752, 921.24535488984293, 923.41533963110737, 925.94012631042017, 926.93164369166868, 927.34493760266321, 927.42006059156222, 927.67109908785312, 928.17313082513249, 929.01584508794815, 929.24388362355569, 929.79615331200671, 931.3684006244614, 931.84310835379745, 932.13588632550284, 933.07142012161216, 933.89474346101679, 933.9800473702395, 934.14909456104886, 937.63350881607357, 939.14044065539883, 941.40491051247295, 942.02183295980524, 942.17167055537152, 943.01332675276501, 943.93303346539881, 944.35133237072716, 946.87359048690882, 951.49673098778226, 951.57065806233277, 954.79085287309272, 955.09441574151015, 955.83184855675495, 957.78979377980454, 959.1311554340333, 959.69461144926709, 959.81513999110859, 960.00445582609927, 960.58415656376803, 961.86887922534936, 963.47254525423193, 963.86206629680817, 965.03479139527724, 965.98321452520702, 966.35468673232674, 967.06644952817601, 967.09442185308296, 968.02726263965246, 971.21191395894948, 972.31545039967239, 972.57904864009197, 973.44360697654326, 973.5513028902742, 974.57659880277663, 976.54280342359107, 976.65968307927176, 977.0694726996478, 977.61105783232449, 978.05148405136492, 978.54014280747265, 978.94509247340227, 982.47193684746367, 985.0289778831592, 987.23675877041364, 990.68439160002413, 990.93489751974107, 992.48861932648299, 993.64966042490948, 993.89046572312952, 994.87621892135053, 995.16117004913576, 996.03855785552832, 998.66751685555926, 999.0162824811938, 1002.413870883538]),array([73.899684536206678, 75.047543373678309, 75.795423506412774, 77.464485911290367, 78.849613331477613, 82.469684617667653, 83.507363887801176, 85.496335651324785, 86.895867722830317, 88.21633210216946, 88.767289421034519, 91.231734350774687, 91.256598865290471, 92.3318549162815, 92.630006568832968, 92.652853900101434, 93.379921243840968, 93.583954840237652, 94.124066366731199, 94.210393908312298, 94.259764850263636, 94.432967765961621, 94.894598519837373, 97.512531980573272, 98.113056688211785, 99.425971155726074, 100.15319301323538, 100.73613545034034, 100.78489927385448, 100.94378568547263, 102.67315509782006, 102.79967383240009, 103.20554273998398, 103.45231768868294, 103.62721139429594, 103.88779630569586, 105.10135783115841, 105.5884430686348, 106.95770849463763, 107.53753516495996, 108.08740186030978, 108.55642795214912, 109.58682029167495, 111.72017326551604, 111.77414411976847, 115.31613872823553, 116.34772546202322, 119.88452933489894, 120.87059672307591, 121.86450464899795, 121.91660321788025, 122.60407525170459, 123.25822198402712, 124.13200342642747, 130.73773651515998, 131.62747465868304, 133.11301377700244, 135.35084752718299, 139.58730794252244, 140.50983246410686, 140.69696861530701, 140.76032848329805, 141.19234469779551, 141.88655921451232, 144.23271779760071, 144.6606043654798, 146.61205356645362, 149.50378152850305, 150.43812974722505, 151.23323201319087, 151.43881172514887, 151.54637997244325, 153.06478810492445, 157.61651889932978, 158.81213386537723, 159.42683141406852, 159.79805216786488, 160.32756556690461, 161.21859975715532, 161.87365406716006, 164.10269079310629, 165.36602214446609, 165.72467255736541, 168.64617653022651, 169.60007679811312, 169.78420746277394, 173.53111497762504, 175.0111183672833, 175.68634251854343, 176.34072768594496, 176.47995681916618, 177.0787128400747, 178.49335098559155, 179.89753961763037, 181.31119416297659, 182.27443039875183, 184.46461605667139, 184.51096437600731, 186.65685700682607, 186.74697128764853, 187.86815911759876, 188.63173502164506, 189.43923433857574, 189.58613342083595, 189.95247060061664, 190.45179557853331, 192.3945579088107, 193.92053496847811, 194.12118108249541, 194.16558631712809, 195.68056389179597, 199.73208127864041, 202.81350510120055, 205.33125119208344, 209.64525961538564, 210.18738589707974, 210.89950006785546, 212.1457301876693, 212.61276255592557, 213.26714477496611, 213.71832914890041, 215.797608492243, 216.02515701674216, 217.9290862954642, 217.96875509440801, 218.04943433428303, 218.67037794538967, 219.38426962635674, 219.78492279028501, 221.78540969836314, 221.92072146156343, 225.0996593370146, 227.91865068659294, 227.94787032998647, 229.683342443409, 230.33488872702728, 235.50286671983997, 237.87450675124981, 238.45910380208309, 238.61931258452529, 238.72509253223578, 239.76055380142191, 240.69001498624971, 240.75134705768843, 240.95999077592126, 242.45375543440491, 242.49023525494331, 243.897775593582, 244.54517386516105, 245.06126054740039, 245.5594963697674, 246.35588615332668, 246.52336838886015, 248.04595799822945, 248.357197972297, 249.6531178780865, 249.94966963616088, 251.18969337065286, 252.42637496772809, 253.75428947275728, 255.49403722819557, 258.11809520760818, 259.43436247530468, 260.43925609982188, 260.54072878082661, 262.78989147792311, 263.49870455260037, 263.94416217254036, 265.83563446212708, 266.23651687911195, 266.6521579969297, 268.68643702796425, 268.96868448138025, 269.38561396173947, 269.52621911158286, 269.93479263818296, 270.58322210494401, 270.90415313157001, 270.95347693319206, 271.13927085537028, 272.4357832487762, 272.57367345636794, 272.95948715129902, 274.8664655898574, 274.96850949453068, 276.66581287755622, 276.6866332521401, 278.85643055861414, 279.83518424743795, 280.30328945886248, 280.74504858369227, 280.80373940963449, 281.13716196833434, 282.20547392647643, 287.44072413376881, 287.70394946904116, 287.77388119293124, 288.0292208443999, 288.82082607536586, 289.25698252805734, 289.85787495866361, 290.46042210855319, 294.86850867559042, 295.74690694860533, 297.39662888210171, 298.61765393761038, 300.83635722812539, 301.387589512528, 301.67621160359027, 302.1170344188584, 302.36401534362341, 306.74801942602772, 308.50997327918788, 309.21004793912647, 309.78534138378711, 310.19711310468335, 310.31118639175634, 310.68871374204207, 311.47231590321843, 312.81882350132247, 315.29239547147739, 315.35874842821238, 318.10433188378488, 318.88611479887783, 320.05961830352271, 320.75736787164203, 321.13089042615235, 323.96819413892143, 325.84585076662006, 327.74214016487599, 329.06767020475189, 329.48189981070243, 329.62864823723282, 329.67373477367681, 330.21277659877728, 331.22859715492433, 331.59384426553271, 332.45461811770019, 333.04697303949337, 333.21236332326583, 334.63131792672885, 336.56456460217225, 336.74015504478302, 337.03836816477201, 337.89321302172169, 339.09716693965203, 340.61940232046885, 343.0324033618964, 346.43582687289199, 346.66584667231336, 346.7575826131042, 346.93294958532869, 347.33296187778433, 347.43546785525137, 347.79166007472588, 349.03018200670692, 351.93935946109036, 356.31177607190347, 356.74794099883587, 357.81949921094366, 358.71420654578486, 359.45770426022733, 360.49853591833056, 360.56021604492787, 360.66465721525475, 361.24885033214127, 361.91870871952966, 362.97050751515229, 363.11174655340051, 365.03834072902566, 366.09678396926444, 367.39810480094388, 367.48546567983999, 368.07907333951738, 372.22036559960469, 372.42817100632533, 372.51213543312349, 373.48470385839539, 374.78594060699476, 375.22468028108295, 375.48251477206338, 375.52605603548585, 377.03644322564287, 378.92726565613839, 381.24384548140603, 382.90450646875712, 385.93279480119423, 386.10574542379203, 393.54249240702745, 393.58397360520308, 394.8481563420433, 395.74235249734204, 396.93450373970791, 397.4844108737355, 397.67483774782784, 399.03821557137968, 399.52936467131536, 399.94690363331313, 400.84994675332786, 403.11657519963836, 403.62939890268359, 403.68529380475633, 404.13937961357431, 405.32713098078762, 409.84881893438745, 410.41052155734644, 410.77212827451905, 411.61867681968243, 412.68709295772186, 415.13033556919595, 416.40298476668039, 417.22303741096493, 418.74589242159635, 418.78807373891851, 419.76221886893802, 420.75711104554784, 421.34730118667505, 422.23948562919043, 423.23272827441127, 424.34950018914986, 424.65989077482004, 425.32792772414473, 427.53184369664177, 428.17989014080075, 428.21529387310653, 429.72534612707352, 430.98660393432584, 432.54845185814133, 433.92821986737471, 435.98018689087314, 436.65807704761551, 437.69540352108584, 438.27008518082152, 438.88405135689766, 440.2271239553981, 442.28242916048208, 442.86180573572716, 443.52968554267898, 445.72399733276399, 445.77723144493979, 446.80416946133522, 449.67536537894483, 450.0087153987385, 450.83653504830943, 450.95568057179554, 453.06730433853943, 454.05913675930395, 454.96834932709072, 455.23938347176426, 456.02169482777225, 457.05186340094849, 460.37168419891941, 460.50150540463767, 462.22268809306576, 462.76658808628969, 463.8928822580985, 464.29477450018453, 464.87247235157088, 466.09071066594186, 467.16573461906336, 467.33279611351395, 469.94705038482948, 470.10955398964074, 470.64926242876663, 471.40783003571329, 471.74838715948357, 472.76340849412617, 473.19041826523238, 477.88182241488755, 479.80442690819558, 480.84182044201867, 481.33188164805836, 482.07243130990668, 483.48691373099393, 483.85797984138725, 483.91196617483376, 484.81134374106284, 485.00866276151669, 485.2834866315053, 485.59771248366428, 486.19684168923692, 486.26148546685005, 486.56206170559773, 486.83819137933625, 486.94843583637999, 494.21514230251773, 494.96254728790626, 495.14360889283432, 495.34496135037335, 496.11013809425322, 496.61159690138078, 501.16148579258805, 502.26492007435871, 504.71703173992643, 505.82755159440734, 506.02385836766121, 507.47330857625906, 510.47540607412043, 511.91209310571128, 513.86418719362712, 513.91496731833627, 515.14785165825094, 516.35899292010504, 517.74754660816245, 518.45001365294365, 520.46184559401968, 520.86837893447478, 521.17375832493167, 521.26307810207686, 521.40297412069378, 521.9378945900288, 522.35982447830168, 523.60457127792881, 525.64999603386082, 529.92529993241112, 530.07339012726118, 531.80173002374011, 531.91208617996676, 532.32829992846382, 532.86593029009407, 534.46615722644628, 536.07055581868349, 536.30043997091059, 537.12574019856788, 537.47904727326511, 538.11697686926459, 538.78343648390137, 539.05313986712201, 539.5616817341903, 540.65054787173256, 541.87414248466678, 542.52901168795643, 545.20909758523919, 545.72059327971829, 547.76150300711652, 548.14367190421478, 550.00319150439793, 551.17099859386974, 551.3658534459903, 551.72747729008631, 553.13823999158558, 554.33037457895023, 555.51273304713072, 555.81847704450797, 556.07408438370248, 556.33379552429847, 556.51209600987556, 556.54991950462204, 557.53211436074412, 557.81682435045616, 558.84008505800693, 559.12970664751708, 560.50952275431382, 561.20967380002185, 561.94814186152007, 562.52146916560662, 562.88859562506491, 563.69894873693863, 564.23487156376029, 565.06017458537497, 565.41282853505425, 566.0124350158718, 566.24646948703639, 566.33549502478286, 567.20651273321823, 567.24308685656592, 567.81050860704511, 568.87252161546303, 570.19523569130536, 570.28908369786438, 571.72478745730598, 572.29640706891678, 572.86769483039632, 573.03512136583754, 574.10432064494842, 575.56718510094345, 576.10177172901672, 578.17209979099346, 579.66828699664154, 579.90449691811705, 581.30315736657928, 581.52566224876659, 584.3385357925182, 584.42783386736767, 584.75445454530325, 586.66817279585746, 587.51049987852434, 588.13301557975797, 588.22084520327689, 588.82781131133333, 589.87864862340007, 591.1855695461029, 591.96082515876117, 592.14792876173749, 592.87865075283207, 593.32785377349637, 593.90966484052012, 594.91688545788588, 595.49545005751884, 596.98936789779532, 597.13461882278034, 599.57155570986754, 599.80403428650061, 601.98536762465835, 604.22075959687879, 604.70401703030961, 606.31045448912801, 606.76619400170091, 609.10754412505571, 609.37071801502645, 610.89317604419864, 613.31223499435669, 613.66422781589858, 615.81735839481371, 616.75325268131166, 618.25071368052477, 618.66604832136886, 619.20143506054319, 619.32893108534608, 619.91490321547008, 620.33040435875159, 621.60231388406089, 621.79087042306958, 622.65152370248643, 624.10878953159909, 625.19116796828121, 625.7168953796089, 626.09262731162539, 628.68582115434197, 629.42988403212121, 629.77973591866748, 629.88049218036497, 631.10670020492648, 632.72904793207545, 632.97770507350219, 633.26781806313306, 634.20624352612754, 634.33598951728186, 634.36452512733217, 635.50291978189114, 635.79728017636853, 638.33627130514924, 638.39017608152483, 640.72668240837822, 640.90332285214708, 641.27979606370559, 641.39189727922928, 642.4358976447138, 644.14104222246237, 644.21512960611028, 646.71599152042415, 647.8223623654909, 648.02753531176177, 648.13006325066499, 648.36283258058199, 650.24192029785297, 652.5170533617395, 652.74198945552155, 653.17683845489205, 654.40356919726071, 656.14922466776954, 657.77008972590124, 657.99515485919562, 658.40419996725007, 659.04493595754047, 660.89620899819874, 661.05026853733557, 661.68794661969093, 661.90051690562814, 662.2236938946786, 663.36144123705697, 663.64176354025506, 664.69862211698648, 667.07652311734137, 667.31704579401867, 667.61239381670805, 667.6898382752114, 669.80165222548419, 670.32965065682981, 674.24057339643923, 674.65372105581628, 675.5781869503428, 676.61592727686457, 677.45863236290779, 683.05280338407533, 684.20213534335744, 684.85698304116931, 685.51761641824623, 685.84178897899278, 685.94606082790619, 686.87260579504675, 687.19627024066494, 687.99909988223692, 688.06246242472184, 688.86391590377696, 690.41731716754407, 691.00452798087815, 691.08397273352273, 691.37001340287691, 692.91604065192098, 695.95757587515641, 696.76763930301081, 698.56173798461464, 699.02565803773609, 699.42546629652168, 699.80824551697481, 699.91478792648536, 701.18628587589149, 701.54527852220156, 703.980113600001, 704.77869366844664, 704.98475523247544, 705.10063957835735, 705.15432542710971, 705.70802402940342, 705.78661187622583, 706.84093366771697, 707.09863377795523, 709.09234529328148, 709.52757726929542, 711.56614364848349, 713.31444641129326, 715.26997076351176, 715.4036294156142, 716.4492147796949, 717.03428852496415, 727.10099829753915, 727.65216177689308, 727.88677868368393, 728.80798989652283, 729.13090009974167, 731.01957766791782, 732.83472841163723, 735.89076789476462, 736.96779767860073, 737.05347232589565, 737.32815692368331, 738.89118350194542, 739.71198309239185, 741.91325572069798, 743.57511160556544, 745.36760545820061, 745.80073145463552, 747.76932297101655, 749.46898320655089, 750.08481179373416, 750.85841326679542, 754.19434416744627, 754.57465055186719, 755.06400871366986, 755.49295920234749, 757.14648667792244, 757.24644659715113, 757.38101420153146, 757.70030646692203, 758.0403904823296, 759.4397693725341, 759.72357066796405, 760.12647247089853, 760.15496643684924, 760.48080933117228, 760.58430327492056, 761.62310913993019, 762.07606148899083, 767.21370501821571, 767.84485609444619, 768.61419378995345, 769.43147615498538, 769.85404052068986, 774.1517792771125, 775.54964562368548, 775.90880838861699, 777.25224525355623, 778.01292054418172, 780.1731035681787, 780.83413010460822, 784.5524775788183, 784.87869828918917, 787.78613430505038, 791.06985927341384, 791.77658578394096, 792.35643299632432, 795.29633649757659, 796.00754802414167, 796.97101409138725, 797.25839848464989, 798.4016373761134, 798.55104962816586, 802.45069164502195, 803.66388076757949, 804.28277724378154, 806.12487872427209, 806.25497854802018, 806.82042294400276, 809.5072473250525, 811.08362403396916, 811.36461196478967, 812.33643345501605, 812.9980954890226, 813.9457107394079, 815.3264182354211, 815.85496022231825, 816.76196303848371, 817.00925400821302, 817.69350764926185, 819.14292973796148, 820.00709862075621, 822.87690491580554, 822.98851037792838, 823.26557598886802, 823.9803276810153, 824.11875367806408, 826.37404815236232, 827.53678664909012, 827.56769346532326, 828.20747116450048, 829.15898654192006, 830.54335563213044, 832.44530364980949, 833.67921365388952, 836.79422311934377, 837.09032922091126, 838.49916388188058, 841.09271873432021, 845.17052930085299, 845.54814913422774, 845.9869769858243, 847.17217254032926, 848.83875896109339, 849.63378243294903, 850.16240585169282, 850.71722363473759, 850.90192383391275, 851.48457448130034, 851.57095862532219, 852.52472223539087, 855.34731363887829, 858.46063813374826, 859.09699625905102, 859.31259334467677, 859.3730353924135, 860.89016053651915, 861.36700875785448, 862.13365998324798, 863.00380458275811, 865.10413988606558, 865.71556824028755, 865.9039821044031, 866.23742799528998, 866.72038018878879, 867.0696111009488, 867.3122752554973, 867.41720621032164, 867.61631317629133, 869.67046335232521, 871.65461135216458, 871.75672235981676, 872.80556741272585, 873.60751949054645, 873.97677573865815, 874.55246082991277, 875.44956723414305, 876.53696273330706, 876.72881261425846, 878.01966304251357, 878.74450036497842, 880.84080201291044, 882.25530414096534, 883.84110317301725, 884.15448351169073, 884.30301197135975, 885.33701647197643, 887.56295661518368, 889.13073641285678, 889.42052060953552, 890.27824728405392, 891.59998483154232, 893.19654122912368, 893.30376301016292, 894.86776009905759, 895.06556302920103, 895.17899929046587, 896.06463032993543, 896.26928954430502, 897.04405670939218, 898.33235055920511, 903.78723814256034, 904.07868980601381, 906.65457085031392, 907.76968704333956, 909.02679109412884, 909.71614413016641, 910.37546693458057, 910.80243847196607, 911.22404808158967, 912.39776794947636, 912.68974358852938, 913.4035657979058, 916.57003215742156, 919.44680819353505, 920.56988012701811, 920.97360631674894, 921.49928178005803, 921.53034920688719, 925.26331263929353, 925.73843674804345, 926.4864561459741, 928.9970365926248, 929.10131640486713, 929.46308719672277, 929.73384053554503, 930.24221933200613, 930.408850983104, 930.99269677019129, 932.11249269389145, 933.24913602683182, 934.36835668525066, 935.02266363892477, 935.88149772602219, 937.32448825701954, 938.86268483481103, 940.82539018290311, 941.00902887748623, 941.47914540841998, 941.67703492479313, 941.71863174533269, 941.92252279403306, 942.07843357657089, 944.06383233800523, 944.44263305246784, 946.03816007140085, 946.63009045748458, 947.89685017914792, 948.68330742564592, 950.04740818118341, 950.46535680389286, 950.54357526766751, 950.60591578555147, 952.06948258372836, 952.64050154950337, 952.94039369632537, 954.80947674919696, 954.93601012266538, 956.11159466131312, 956.99069813681785, 957.93367351230972, 959.53966807569952, 959.63295831050596, 959.89311052883011, 960.67508736870002, 960.72493677661316, 960.8193785914093, 961.35129714177344, 963.34374913425199, 964.54735964222084, 964.79517899614336, 967.09665410004186, 967.24143733289225, 967.40038449281496, 968.31315775798066, 969.29254530331093, 969.32185881131898, 970.98791908053352, 971.70595341775606, 972.66246373691649, 973.84533891099784, 975.32393943957584, 976.61427401764809, 977.35708605874731, 977.40323811814699, 978.23286085856876, 978.4355445781564, 978.60049879875476, 981.22340669429627, 983.58211797033778, 983.70074000649697, 985.69273794129515, 985.75561258678488, 988.33300013759629, 990.08784438587509, 990.37752661564389, 990.45011288219212, 994.41628419608753, 995.3763154683071, 996.05309760015575, 996.43930983857445, 998.93772384420015, 999.03242979074253, 999.26791806583378, 1000.2225364953605]),array([14.806489824755321, 15.454865778221853, 16.580193391988058, 18.431314872690777, 19.668488887792854, 20.429387882872209, 21.880858930220693, 23.503979823412841, 24.647866098208493, 25.222899623869925, 25.961717894172704, 28.076764283341042, 29.044812813423647, 30.160519883249716, 30.369004792176245, 31.337028479578713, 33.827597468161429, 36.094294657834965, 38.161785016919879, 40.957777066202496, 42.764808284644531, 43.307727450081593, 44.538988340498307, 45.145371658738568, 45.299650968255293, 46.447562260905826, 50.462279466761615, 52.699922710782403, 56.815451847648227, 58.107402973382946, 58.718905960089089, 59.541756194210251, 59.675395998316894, 59.710632081342517, 59.758929580494978, 60.853309612399379, 61.382020614521018, 61.670055254370531, 62.499316473674526, 64.542779552942335, 65.499442484356891, 67.208582007802491, 71.498085853079687, 71.709193763775147, 72.19705128662568, 74.91795470842743, 75.508656395702388, 75.83704135695524, 76.517126447908396, 76.808237971510124, 77.504836592567585, 79.284962717134732, 79.481105780529347, 79.984937027747321, 80.292408849730293, 81.807247757791828, 82.644188114343635, 83.514240685430934, 84.56747209736821, 85.256178341200126, 86.413291897808449, 86.670191864216278, 86.90189816772822, 88.083342905066601, 88.974854104154275, 89.062225142042792, 89.112321103849879, 90.157386386319615, 92.854225187310135, 95.164224339380667, 95.784303702239626, 96.115063410796338, 96.67525884419868, 96.768132440643626, 97.813555840291954, 98.125002393252316, 102.02066960444247, 102.09713690264604, 103.58823402748644, 103.88073207871088, 105.00931452800141, 106.46274677459911, 106.4829759442964, 107.05586946879221, 107.37073488831973, 108.88618111781282, 113.0652315499001, 116.81120237618113, 117.21562143265544, 118.51229840007173, 119.18289828412139, 120.01493496775475, 120.84886697297942, 120.98937249824772, 122.21962561382102, 122.52175746374141, 123.49258728165758, 123.85479402408974, 125.51211165764438, 125.75270097298009, 127.53490007975546, 130.30978959128848, 130.48436405852689, 131.96115242853895, 133.25947188003155, 133.33714198354798, 134.91036116135407, 136.59883103905665, 137.6117503561903, 138.10253343582511, 139.29766132439033, 139.76733188100715, 141.60063425122738, 141.72957042196495, 141.76067174870465, 143.7120951443699, 144.45185553108485, 144.81110644742645, 146.03263116863894, 146.33689499795878, 147.1733480885828, 148.40112169068894, 149.13393660812773, 149.3042435385394, 150.0224073676101, 150.71526259143209, 151.40979685568573, 151.52984210056397, 152.38789023109774, 154.49933006380479, 154.5480094232995, 156.01655856801534, 156.55711856107985, 156.81273099707062, 157.47151415649475, 158.50839687712849, 158.9396407063266, 159.96408995045476, 160.34017314722661, 161.70289440550786, 161.78947632076671, 161.85285484749051, 163.16335375349558, 164.56498495863818, 164.91811101286675, 165.96652061610092, 168.11818674095804, 168.52168607829222, 169.16697035437662, 170.71828123088932, 170.96639486076495, 171.58841168629033, 171.92622516767761, 176.61638400961274, 177.83467058985212, 179.23410514812628, 179.33686702090793, 179.9322927469313, 181.15552203648608, 184.80525785298525, 185.3837372839605, 185.53689746799878, 187.78527666703314, 188.19983955126702, 189.41911070584433, 190.83642372204986, 193.3845125657067, 194.93718783438504, 194.95750436866953, 197.50138503701081, 198.59165349123629, 199.23410738751951, 199.49986509835557, 199.71383597985323, 200.68813376191346, 206.60570427754044, 206.74368502588672, 207.08582902245294, 208.07294381875249, 208.14939078568946, 208.88329047256195, 212.35960543944876, 212.74597481360848, 213.75696642413303, 214.58281575399963, 215.9225676368599, 216.13502877608727, 218.02253989651112, 218.08397864626264, 218.47544296183491, 219.93214250329865, 221.58794950282314, 222.74643008778909, 223.14213339781378, 223.55405658353754, 224.12934844192981, 224.76348579750524, 225.32732036936213, 226.98969144153088, 227.36099697744277, 227.64255853145141, 228.31012679883108, 228.53399033048163, 228.57584557997691, 230.00885602261653, 231.55510041099924, 231.64039082325374, 231.7766968234759, 232.44613443707686, 233.06675668320537, 233.62456108077936, 233.87428570338216, 236.12526155881787, 236.93095940132119, 237.1539638696573, 237.21739923929945, 238.0722647515571, 239.16612705579394, 239.91186572875304, 240.10945859479639, 240.61399835158463, 240.84537678848156, 241.29953263376973, 241.66739018179626, 242.63467555628054, 246.31530019572273, 246.86997745637919, 248.21273946279914, 248.56885663314887, 249.00913079564978, 250.65084647662263, 252.2324048093663, 252.41053080617016, 253.65478708827166, 253.74686388924573, 253.94038662924945, 254.07423804602379, 255.04034157123704, 255.2967275550987, 255.32135209780463, 255.74483790598754, 258.08417657700903, 260.6718974651975, 260.77314857915684, 261.69923276451971, 262.52051141880429, 264.41113655168493, 265.42437165352175, 265.83175541633182, 266.11248586338417, 267.6721000655528, 268.75386773570153, 270.56764130123003, 271.44029273400525, 272.16391075112136, 272.37249910480477, 272.59993670149237, 272.92703701908624, 274.52118778765583, 275.60921891245692, 276.15729098415068, 276.29635564703517, 278.08766519392702, 280.37810712442916, 280.78495138417804, 283.55151490438283, 283.68141635690762, 283.85069516526386, 286.38962348943789, 286.79743837490486, 286.90240419144175, 287.49394813948726, 287.53266617585211, 288.35005403462952, 290.68636981713638, 291.20563072055893, 291.22710225602168, 291.65717339678338, 293.13543331101079, 295.5492370245953, 296.19873455004387, 297.40474535682063, 301.29999822084852, 303.3064337606599, 303.7784300317208, 303.87552995216168, 304.98265557443324, 305.40000906609663, 306.04577599791082, 306.18904652166572, 306.62460673170619, 308.34058484253484, 308.491203180588, 308.81920634691323, 309.64935956506287, 310.35427398377493, 310.90970867300115, 311.49647319922047, 312.02852208918659, 312.64029891611381, 316.34932985926844, 318.68714156023015, 318.74140427361834, 319.53795370355056, 319.94716356658176, 321.07572996738162, 321.11232755690565, 322.88793813838225, 324.79203976215678, 327.4507964928153, 327.51952957344656, 327.59467076237183, 327.79936975298659, 328.33878360963854, 329.9598389473166, 331.52614823401444, 331.87167251942469, 331.972287577386, 333.94697942855532, 334.67533615176899, 334.92232828019178, 336.05162232769015, 337.15381107051365, 338.44538464778748, 338.69189717647401, 340.76387695749509, 341.00148387676575, 341.62496140133436, 342.10508116719279, 343.4180399479277, 345.12498225630151, 345.69529895392844, 346.82944422093556, 347.27878191871957, 347.4601622146198, 349.47268454978223, 349.72791651442981, 350.72660039981298, 351.30105493600405, 351.70755620161503, 353.68592607152362, 354.16685206161372, 354.88969615328193, 355.42051749050637, 356.39243801236853, 358.9904004454832, 359.0374971683712, 359.36535508873249, 359.48212480752204, 362.31714688219131, 362.58720829779446, 364.95068787242371, 365.06394031464998, 367.45957174063909, 367.88682079880743, 369.42562602775297, 369.4748479021888, 371.18876779955542, 373.38361503284284, 374.74310576472408, 375.70158213996285, 375.99351361953313, 377.56524609396882, 377.67952260290571, 378.11208869284229, 379.21896841870154, 379.45777533030514, 379.55463242175881, 379.76825352333486, 380.68959836397744, 381.25082006718532, 384.31283430696823, 384.68005550742993, 384.86820168694766, 386.68977434942173, 387.43593519703285, 387.9270412842103, 388.13289284854693, 388.26425888191437, 388.54325258678119, 389.50103252893348, 391.15466446442286, 391.19385705755082, 391.70890783721882, 393.59649824780757, 393.67521339115928, 396.20798882213217, 396.71537774972035, 400.63245252108635, 400.71370486979845, 400.93184384338315, 401.46451121996603, 402.08883543131788, 402.80500417285958, 404.02694049821702, 405.58111750104752, 406.09484296308381, 406.42854956666542, 408.95170390091278, 411.07859050271134, 411.81175940792821, 412.71177616601426, 413.16659978623221, 414.10473183811882, 415.21957207261875, 415.59989275135518, 415.86412599799411, 419.34033821782327, 423.42296717553546, 424.9310743412189, 424.95841053182664, 425.69199298750152, 425.85071090064508, 428.01290434570785, 428.62200919174683, 430.50203518273622, 431.01552753747279, 431.5593750252541, 432.32078332735631, 435.02543942070082, 435.85637532780532, 436.30819466577015, 436.84904103307457, 436.90598956509774, 437.25438779239687, 440.791089529864, 440.92316869037938, 444.23174914991944, 447.69436984924533, 447.72061624202587, 447.89341736447017, 449.03780490043266, 453.61509918407228, 454.81751094962766, 455.46116097636383, 455.83369508780112, 456.51269072274431, 456.62187824541115, 458.15706446026667, 459.72357647866181, 460.56379160840834, 460.88033580803068, 461.39788693016629, 461.66150441760925, 461.91564279051715, 462.33496967460115, 464.32861893272525, 464.54824762909465, 465.31946387440115, 467.22695584448331, 467.50944376472586, 470.790679662934, 472.71176771245746, 474.02429072756803, 474.21729641529726, 474.94643004581258, 475.6196117316332, 476.29160136458711, 477.4011336435027, 478.39599291168156, 478.55590978689247, 480.56804978303995, 481.31815958190691, 481.5316459371769, 483.38948501139544, 487.0420333545228, 487.41687643890202, 490.19288968953072, 493.14161607049323, 493.25202364596345, 493.70577782902831, 494.20419206174876, 495.7952859044488, 496.3494014203157, 497.93936674000264, 498.10026423933226, 498.23744200555632, 498.70577267777026, 500.01220546380188, 500.13496109308943, 500.38999803095862, 501.02246376921698, 502.63810544795865, 503.42828162757468, 508.44603911178541, 509.14341208617867, 509.42489102431944, 510.09208371717074, 510.45020483812959, 512.57533420199661, 514.31723657045939, 516.84552952052434, 517.66676862713859, 519.83154234924893, 520.14207534245634, 520.62122457701901, 520.72989180342529, 520.83679189852171, 521.29846663667763, 521.78373766485493, 522.47426036995876, 522.92232168218118, 523.37973953847961, 523.57693677422799, 523.99867015277994, 524.03421325426564, 524.19534821752518, 524.82035420339093, 528.83341745941675, 528.91802911216905, 529.95017572529366, 529.99950699907799, 530.13622992395585, 531.07582559516607, 531.9970641911334, 533.24242497226567, 535.0771324943388, 535.76118457274822, 536.21279838131272, 536.94488376591414, 537.07167973588275, 537.26978070291841, 537.54276203353709, 538.06528000300318, 541.11128051613275, 541.22638051044714, 541.51367154346542, 543.66021190317383, 544.70085626433502, 545.59413692775036, 546.78703919209647, 547.34279261861047, 547.57152380189541, 547.64212724903143, 551.98451115915884, 552.29533595112923, 552.73564175686499, 555.39981379233404, 556.65111075338564, 557.47045527229636, 558.19427417623262, 559.59184344968003, 559.63192743903846, 559.98872842051014, 561.94870132099481, 562.74684207575069, 563.64845454232147, 565.0834999074491, 566.14805437745235, 567.56896341545041, 568.17931624790765, 568.84895908196859, 570.01307640569325, 570.19659267358963, 571.63190286495615, 572.57319727047934, 573.38051527206028, 573.88200002531562, 573.94786008719325, 574.2254780542138, 574.87202408185067, 574.9226019282288, 579.14275760469002, 579.35629823999977, 581.35194758634304, 583.48160719324312, 583.68766240666105, 586.71926016205975, 587.86346608679696, 588.34619370520159, 588.94777850410208, 589.02079346004393, 589.70648314061702, 593.01285827848551, 594.20414866147519, 595.18288714595735, 597.25290879139982, 599.03138505671836, 600.83073268971839, 601.56446588818278, 602.32542774870501, 602.36147031994005, 602.92423930197265, 603.69380040805186, 604.55135299754113, 605.1434789325084, 605.32920480528799, 607.89657458911165, 608.50048494267662, 610.2793061374216, 612.74140023207724, 613.139454409525, 613.28003213070531, 614.26005833382123, 614.55886574416002, 615.18220923636272, 615.68093817633633, 616.11499045498533, 618.18308420699009, 619.66984175421089, 619.71746815622828, 620.37256565366647, 621.20873820261136, 621.866007576333, 622.52409730870227, 622.66842242641064, 623.07245692907429, 623.13453376366317, 623.57048502783346, 624.73699151416633, 624.84479290549712, 625.05139978407431, 626.68689640265279, 627.91129137200335, 629.64733300630201, 630.50375054763435, 631.28540092426977, 634.34218270248846, 636.05941116353631, 637.86468862250126, 637.96850296429852, 638.41466361514927, 638.98025711937271, 640.61973636707182, 640.9473523423236, 641.05901700073628, 642.48752847377818, 644.46953271733628, 645.34935585142307, 645.40755450357051, 645.60668928926395, 645.96175911741943, 646.31593069472842, 646.92038528346063, 648.39583866013743, 650.75558684703526, 650.84099235048143, 651.40979994263057, 652.91663663467534, 653.22744393987909, 655.65868618908132, 656.94519586343426, 657.66731972429579, 659.1319298380655, 659.52118147580893, 659.65208414817721, 660.31392895381771, 661.37008371628986, 661.89856938552248, 662.30920996961527, 662.71980009703248, 663.5627243863388, 664.7953432009017, 666.90799968664896, 668.49633786326797, 668.80110889116565, 669.62777663439476, 670.54865458575728, 670.96276986841985, 671.61267182000279, 672.92768981795939, 674.28697693368247, 674.46779488345078, 679.57594821403018, 679.84335701956161, 680.32628584780969, 681.45725660797018, 683.01704735128703, 683.04846075914816, 683.35586679954281, 684.64075028522802, 684.71166489044663, 686.1379614570011, 687.23515067510516, 687.9643711496243, 689.09005874112029, 689.16662326447704, 689.40001570044194, 689.61081057335946, 689.80926748347542, 690.97236202509055, 691.70505756328555, 692.47605561598652, 694.62387902713294, 696.26595726227424, 697.47469474591412, 698.51764115266644, 698.90628063006591, 700.55317545622529, 701.5216915145096, 701.63217626534038, 702.45764358263284, 703.54458550518996, 707.7261439621044, 707.90863148752658, 708.14003894312009, 709.78349358817513, 712.61456469254119, 713.25866545907786, 716.26574578570592, 718.99320239068788, 719.63273304826089, 719.6604973237105, 719.76041374755403, 720.68791299853149, 721.65216023348694, 722.79019247264557, 723.90084958933846, 724.59674154325489, 724.79049295513312, 725.84001051254643, 726.99945847437289, 727.02406082108189, 728.78719472385194, 729.66384433222083, 731.36366289625482, 736.38687749403073, 736.81932319399129, 737.29061855743032, 738.62000237876919, 739.30811823730176, 739.80327142778481, 744.08600621859614, 744.87947589411169, 746.51702950713764, 746.76506497147227, 748.0895745859541, 750.32861171995421, 751.39329931390512, 752.66680083628739, 752.993647742907, 753.23242380076852, 753.87826780144212, 754.60596796906736, 757.47380970358188, 758.38158374009822, 758.58344511617679, 759.13953209882561, 763.31351859645793, 763.60889444809652, 763.94041973308924, 764.29086651008106, 765.05772553039094, 765.60458325030015, 767.93774025889604, 769.43078045707239, 769.78809754701967, 772.54599235618423, 774.28192393391635, 776.90497172868822, 779.72225343547996, 780.27867692700238, 780.32021437462708, 780.50670609166048, 784.16063546219539, 784.28290323001579, 786.05143333776869, 786.76912701855042, 787.61817105782552, 790.00493513220431, 790.90692094315784, 791.9108376146512, 794.51683871577598, 796.87937581341066, 799.15019960902282, 799.96647556716084, 800.02377894453321, 800.59814124786226, 803.23349612211064, 805.10303022969026, 808.8925087854916, 812.10437934586253, 813.29564356717026, 813.45990483325181, 814.7165492951774, 814.75241365152647, 815.0717458256612, 816.71116247357838, 816.82590364522014, 817.05726840075204, 817.1718601503635, 817.47189995427857, 820.05198613239997, 821.82952212554858, 825.63352688297869, 826.65525381280781, 828.01375912665617, 830.01462941834563, 831.56408372022406, 832.74367899106176, 833.29385513844773, 836.52752772981785, 836.77918047899595, 837.84434411641939, 838.14556686052276, 843.24598018354743, 845.02468214151736, 846.08999852349712, 846.18791089113529, 846.26191493042347, 847.41800935116964, 851.19963590277939, 855.14345704239383, 855.34776330287877, 855.96633163862873, 856.81785977015545, 858.14621636014817, 859.42498409558266, 860.62235432312173, 862.98788135608618, 864.0106231055064, 865.41808505582742, 865.58066616449901, 865.62729508059385, 866.15146116914593, 867.74329772438443, 868.18271595273256, 869.59887559147273, 871.8642780912752, 871.90889223330021, 872.31996795182351, 872.6276543569935, 872.73740461498596, 874.3396065737245, 875.71897361755146, 876.16149380040679, 877.50865802150213, 878.98880708129275, 880.94146740916653, 881.21639244544758, 881.33758148340621, 882.84158278869404, 882.90966976564584, 883.62604646639181, 884.82045091606642, 885.35968294601207, 885.77385960673712, 888.47336260756981, 890.23933643418252, 890.3759245662452, 894.18072038650234, 894.90909757224642, 895.28130969594554, 896.80287868183495, 897.45953559728412, 898.01260114851516, 899.150407551532, 900.13335028062886, 901.54797963982264, 901.75300685143702, 902.01460181987113, 903.19200783781355, 904.21585145419078, 908.04192145661182, 908.66284493241903, 909.0710404753803, 909.12931498856358, 910.37317124007984, 911.99739745670593, 912.6343505687596, 912.69007483090456, 913.75641162663464, 915.39914252065785, 916.972651966429, 918.94713991083825, 919.42856166346485, 921.07294322905898, 922.10342872450701, 922.52372864472329, 922.57279842466073, 923.5447201148861, 926.20505031637526, 927.48903877390808, 928.33738666484976, 929.68713479621852, 930.32140970889611, 930.75697269130103, 930.94657485054972, 932.97012720436669, 933.0065859623104, 934.22620337730189, 936.31514304741563, 936.4362763646086, 936.92665284065652, 936.94859801794826, 939.32347271602748, 940.00430454387856, 941.14973903704959, 941.67893765801341, 942.09189494241059, 942.68802337212367, 942.88379355809332, 946.31888474735752, 946.64451955039522, 946.69195865449342, 947.14912217488563, 947.61716627351939, 948.03449636914638, 948.41285145023699, 948.5520313985138, 949.09592403635031, 949.59294267817666, 950.60987447497496, 951.42931426754888, 952.81246628030453, 955.00947472665609, 955.08635317223593, 955.23485748285839, 956.68006590417031, 957.2315159994572, 957.7021648238715, 957.79207330073109, 958.0136732331847, 958.96004528509286, 960.86710165753789, 962.58804771369762, 964.03873312427697, 964.2129847788118, 965.52585047745367, 966.38143169561783, 966.71875986377029, 967.09184789131996, 967.13020833692747, 969.37111338650709, 970.26206806922926, 974.41912489144022, 974.74552801061941, 976.74152781945088, 978.02871300922232, 980.45669595173092, 981.87972142885837, 981.90841488510841, 982.47815953849431, 982.98855417549646, 983.08790411732843, 984.05623924751376, 984.12226870656241, 984.44135305339125, 985.21753267563633, 985.98097082298182, 986.55939002365005, 986.9584801712524, 987.50821370026642, 988.34418056731226, 989.53211656410804, 989.90868462965898, 990.23199556943996, 992.66123184760386, 993.5620404130409, 997.33900333758197, 998.32810703109408, 998.95505103163725, 1000.041686388159]),array([69.956628804967863, 70.224515271703041, 72.42326623035288, 72.700746637431052, 72.76131685492561, 73.513043220933625, 75.215025563650656, 75.927050721521653, 76.816565148890831, 77.475456802928733, 79.295464777103376, 82.013530952491209, 85.488719521491859, 85.585672064080413, 87.27888882125842, 87.838465879539427, 88.662845465042096, 89.942679883683539, 90.414402217568522, 91.030030881798012, 92.489950007115823, 96.072536220017653, 96.582897712651729, 98.112973288882714, 99.593340975118508, 100.28345047456011, 101.96000247497646, 103.71388756579758, 103.81862570853403, 106.12814448287261, 108.17124736915359, 109.44694256251299, 111.55144225896736, 114.12390705829684, 114.59354981053406, 115.12935882624502, 115.22362099348062, 115.37672931413839, 116.50470327976183, 116.76949391407763, 116.842772935537, 116.87869780046663, 117.08563288095725, 118.24902685690009, 118.7971660027826, 119.00549519840808, 119.17058019213867, 120.19294889417219, 127.07248116751262, 127.70456764154991, 128.79325369021518, 129.72971055552642, 129.76969597635275, 132.23138451281523, 132.49284812766516, 132.70374007240071, 133.35005572584677, 133.92409250464607, 134.21179663340229, 135.34003178313296, 137.22516819193399, 139.48071681310452, 141.56152859576488, 141.59378755221053, 141.61914087821341, 142.69860763823587, 142.81700468071736, 143.25499731657206, 144.47807603607842, 146.22055056963464, 146.68790429261406, 147.69630004412406, 149.32883135026964, 149.80233793576048, 151.7893736946651, 152.93640022774917, 153.27728769305327, 153.61996908853075, 155.17153704104706, 156.00572728903705, 157.4041345103166, 158.44720123064027, 158.67896550518483, 160.3148707143537, 160.75907044268092, 161.25680459322191, 161.92674385168667, 162.08999229622799, 163.01396388377788, 164.36177428369609, 164.64501964936647, 165.46514533512823, 166.65410960230918, 167.60435977695133, 168.35913457918124, 169.97347536617397, 172.58843554173254, 172.75587034017039, 173.15615400054207, 173.5732467837621, 173.84318314576214, 175.28856615999001, 176.06189812367487, 176.46053519746525, 177.44104049883074, 178.52513554005102, 178.89348585421726, 179.00101181432623, 179.22033478976692, 179.55767271823237, 180.26878680614823, 181.78255156521197, 182.32504461276667, 183.30437278353963, 184.12573094291437, 184.41249417477167, 184.7898846761056, 185.13467297163032, 185.62288089120111, 185.72732005681871, 185.82438230620369, 185.99385445495301, 187.23000810921869, 187.47790358061019, 188.88671528878066, 191.62410395064089, 193.97834418393194, 196.14583854995203, 196.32105420929418, 196.39308440087871, 197.28278860005659, 200.9309384245193, 201.44356099897033, 202.81098342901515, 203.73306989421707, 205.251639563206, 205.55457148671852, 205.61574810823041, 206.72698296656787, 207.69329262465729, 207.7979211431456, 208.10105865035999, 208.16930122054518, 209.04156558103793, 209.69753734297257, 210.18142601163919, 210.2462005118015, 211.28159625569819, 211.33312001430264, 211.46157795382248, 211.9944406399521, 212.08124405109109, 213.44272122024552, 215.89772759458731, 218.74818310667928, 219.85694299479459, 221.50930189614937, 222.21005330981706, 222.28894481175817, 222.61492636078239, 223.44734820221728, 223.96092496976084, 224.05306373684502, 225.29230642126478, 225.95082426686491, 226.10105904273166, 227.03741473388689, 227.92551429631669, 229.06271781517384, 230.53944447060439, 231.37746077730341, 231.67223526199913, 232.37798922619444, 232.64748147349727, 234.55963102500382, 235.1817282428467, 235.8780406485152, 235.98487923607959, 236.25219281170826, 236.31052718524339, 236.88811412307879, 238.46246400769274, 238.62671208445227, 239.00435496708752, 239.57164764519047, 239.75569856426907, 239.79433977546697, 240.39039204694203, 242.52144513815475, 243.35920954961716, 243.56794815599193, 245.01277102594375, 246.11624388147965, 248.10074606026254, 248.406319189572, 248.62150970848035, 249.10710992223261, 249.7849926339417, 250.62436571926506, 251.49725266043208, 251.73902440474322, 253.85439265136765, 254.75421920547075, 255.79629069510281, 256.09200835235595, 256.31477362438056, 257.99924548209572, 258.32029482143349, 258.43135198289326, 261.5406624869546, 261.79301232253175, 263.06447978443259, 265.19173118391012, 265.78931604024797, 268.02766064642572, 268.96709526028354, 269.16484314071539, 269.41368858210984, 273.56058522469186, 274.52465519661757, 274.62693889683663, 275.34926608170775, 275.72944484519445, 277.27412999207547, 278.21767710538285, 278.80478500695637, 279.28989636165556, 279.91585379412925, 280.1688397002319, 281.4090773497316, 281.88249254532616, 281.95392403718103, 282.48689173166167, 283.13108463405081, 283.38204486119639, 284.34831956284893, 285.0278463501794, 285.28273062571742, 285.81139070948052, 289.4530245638, 290.46136176628539, 290.82458436295656, 290.85663587678249, 291.40990355007136, 292.16729672546342, 292.52704621562282, 292.79861268695169, 295.24084431185747, 295.64017607655398, 296.63677723501007, 296.78406542230368, 297.77542136743989, 298.05507370773438, 298.31673191196438, 299.0865178620258, 301.51937571664274, 301.81283548577363, 302.75895830848299, 305.93762250719277, 307.21360034169038, 307.36058096649759, 307.3888377531357, 308.68036179838629, 308.98302031753707, 309.81076522821644, 310.04587162601979, 310.13487822406768, 310.75169176083119, 311.34850514573344, 311.59460451128166, 312.76972312431661, 313.53498226824701, 313.97661799605362, 315.50952656569052, 315.94123646857537, 316.12817679517633, 317.13036296965726, 319.4705581186314, 319.58434584930251, 320.70157604185829, 323.27029280865906, 323.40782435565978, 324.53248843353845, 325.98848854435789, 326.0116997930532, 326.35070386327453, 326.48530702237014, 327.28769825351958, 327.48180641688919, 327.80247124862422, 328.97082907856372, 329.48892960026262, 331.17956718317134, 331.71538897387421, 333.05798568644406, 334.76029985041049, 334.84032818191622, 335.94529648168725, 337.77876763015087, 343.8736616567283, 343.96482211902901, 345.09344168166876, 346.64031071553666, 346.70577312460142, 347.50939157699827, 348.10573488724708, 350.8421218669942, 352.46088047023744, 353.28589746966617, 356.02388528064517, 357.74141659825409, 358.84829705033314, 359.24761944118427, 362.8212134222299, 364.76620236946934, 370.07755197915992, 375.21808070078333, 375.52858258048923, 378.7116897942152, 378.87195072447798, 380.07060463899683, 380.42273638367175, 380.8688728085599, 381.21426858419812, 382.05306517932843, 382.91910012648765, 383.58689424899342, 384.55272072496894, 385.81957382577485, 386.72859443850416, 388.37939901629716, 388.50227483126775, 390.24636805244739, 394.23616450816422, 394.99993811815187, 396.47870102691473, 399.22691234785339, 399.54905334252322, 400.56745184488346, 403.53481607611957, 403.92482404574844, 404.98741951059213, 405.64381796503358, 410.63173753510466, 412.82289436460002, 414.8771029440133, 415.78856900216221, 415.896250202705, 416.03143903446374, 418.92705124729866, 419.2680522611526, 420.14250323656819, 420.76025891690762, 421.60013432131035, 421.77153551443547, 422.1356985146773, 422.25918907770631, 424.01351942892575, 424.31689339898929, 425.95315709098293, 426.90056534779546, 427.25004871223132, 427.84920139065548, 429.04887443440163, 433.01793358559036, 438.02366359222901, 438.85568563509582, 441.51729882700664, 442.33312922874057, 442.93029174722909, 443.25628115429134, 443.87686804986913, 446.44929824522279, 446.90844765610979, 446.99806949951761, 447.02586570811155, 447.79035005339773, 448.04046894753191, 448.49907457613682, 449.10562418924673, 449.30334071373687, 449.38485441059078, 450.099275517156, 451.18585492892856, 451.35352473771519, 451.56105949610071, 453.92123924545257, 458.43305042583734, 459.92652143386277, 460.9331943972586, 462.29653272932785, 463.29032482194793, 466.256694934091, 468.52890990571643, 468.98782810595054, 469.45759659223881, 470.60606337548091, 471.46744067435196, 473.50050988201224, 475.03661097379961, 478.48448962598667, 479.86177913141432, 483.10358469366389, 483.77283475974724, 485.03053845639562, 486.2403551081141, 490.61726457177218, 490.77672083229589, 490.97372785893572, 495.28469695008749, 496.08054698025677, 496.66438234039043, 497.01979644004149, 498.37176734314693, 499.02839593720927, 499.78693698901901, 499.88584286365648, 500.41607515185564, 500.69159002825961, 501.00267923066139, 501.78892691386324, 501.99344322225119, 503.99767704664617, 504.96491273125253, 505.16706409674532, 505.77791850573385, 506.76626750998281, 507.9048464495998, 510.88487883035134, 513.16712086369807, 514.19483789206447, 514.33132502734827, 514.49124422731131, 514.69042601386946, 515.67513385594259, 516.63229066773943, 516.73062811177249, 516.89166265963252, 518.04089187900752, 518.11045599049157, 518.17935834567288, 518.199639086508, 518.26763778344662, 518.40019459299901, 518.6312106551934, 518.83100375016897, 518.93572013564938, 519.01472874342846, 519.5365987138299, 521.16545407274054, 524.25514511559913, 524.63107361745597, 525.04432891158388, 525.39973647179829, 526.22377289066935, 526.61967753574595, 527.71854797106505, 528.0289428915263, 529.36427592111681, 530.71180982728515, 532.48258045760474, 533.55445018807131, 534.5762528104591, 535.06342707332999, 535.24564400149939, 536.02824251237894, 537.48129648410793, 538.13822997685759, 539.91942369662308, 541.13359209074406, 541.19340969127609, 541.86346530085132, 542.00001393186437, 542.76427301218598, 542.87611151630483, 543.65039032315815, 543.77599424085849, 544.57483570865361, 545.28425039078866, 547.27613688910469, 548.04453690373339, 552.92779062412808, 553.11461765527349, 553.59921491017474, 554.87201693333316, 556.99175263383688, 558.91080789874422, 559.40407869187879, 559.86655830007521, 561.37677503807856, 561.54036962853195, 564.59853343840575, 565.68222982617976, 565.7711047903781, 566.23707052119983, 566.44788305265047, 567.35440339732872, 567.41658915338883, 567.51209759309677, 568.63623252488378, 569.41709341308444, 571.14918963435366, 571.39566098197565, 571.7170856336827, 573.45278150457841, 573.78576997093887, 574.51669786994262, 574.96438768057067, 575.07893717778984, 576.72990276384189, 577.87707071888394, 578.86076861678146, 582.85166947937557, 583.06300925216863, 584.85640280738937, 586.92465532685515, 588.37960759595023, 590.89713156130188, 592.70085271333971, 594.51370707783542, 595.18383980552801, 597.94233585534255, 598.8090313670757, 603.4092409977618, 603.45390338047707, 604.68869447568545, 605.34357223551285, 605.38397763460171, 605.91059034054922, 606.84602192250509, 606.96611112976893, 609.49460131484898, 609.55728422562527, 612.79565086197624, 612.96816072813908, 613.40024031979135, 614.3499037255101, 614.62296212469744, 617.45587904025001, 617.78709763581287, 618.40597801485239, 619.23783380527004, 619.36723712189848, 620.70722778754464, 621.76160844662013, 622.24499088180983, 625.69546696108443, 626.31014288226788, 626.4115934279256, 626.58905044824314, 627.14721422240393, 627.36640045970387, 627.83551258301418, 628.0998306834141, 629.61711047012591, 630.16749894055488, 632.42296549648893, 632.51064117537874, 633.11569654226776, 633.4015994450549, 633.87167794082757, 634.0189703300349, 634.04961175851076, 635.30430239334032, 635.80333193897525, 636.70269108384014, 636.80835606110782, 637.10361001754757, 638.27051015733048, 639.63981415669036, 639.78482103007366, 639.97624058599104, 640.02068284246286, 640.25634032160917, 640.35760382690853, 640.42501969361592, 640.50057076169037, 640.63693427851808, 642.09174439681249, 642.60457220792966, 643.20416075285573, 644.65780604782299, 645.23882217000357, 645.63812440708773, 646.05509675746669, 647.15787271807653, 647.25581793758238, 648.42372940181963, 650.91968272507779, 652.0117943876038, 652.4691693744569, 654.19507121242077, 654.87484369151991, 655.30519442432148, 656.51578533885959, 657.51895624588167, 658.45982875745494, 658.82760127817005, 658.93253092596512, 659.61381763880979, 661.7676917163177, 662.66390011499607, 663.01447746778035, 663.28692756045029, 663.46959059075471, 665.05517256620146, 668.09266209358509, 668.1725314498849, 669.23731507242974, 669.50980456256343, 670.90998452471661, 671.34132736661786, 671.87084267326952, 673.2808183177707, 676.30821216289701, 678.96063870788021, 681.25265738436883, 681.4763097014154, 682.18603705926012, 682.74689413332976, 684.61400872233514, 684.71495687763866, 685.24949943228, 688.58359664101158, 688.91489168526164, 689.24818485308845, 690.45298899289571, 692.32936197927256, 692.44513429102824, 692.47800412854656, 693.0403017284109, 694.08837409676562, 696.34421929256143, 697.1445170561243, 698.03057995655627, 698.33134640239007, 700.61108215397007, 701.91492647887014, 701.96623151332926, 704.75284647633589, 705.00189221607968, 706.10963045670007, 706.14232235400789, 706.70735513377576, 707.78246447752281, 710.75250299323227, 712.78976195997734, 712.88828285200645, 713.36760437957616, 713.4254073055904, 715.8259009784357, 715.97928855378223, 716.38652059194033, 717.00249196628386, 717.64435326949229, 718.62610804166411, 719.76435532413393, 720.12109479365358, 720.59213215475006, 721.56820984156786, 723.02887615453062, 724.97280026675901, 726.83227106576453, 729.03572377514297, 731.17242397143866, 731.71771634236575, 731.88715612566796, 732.18059637352053, 732.35998675381472, 732.66424070707274, 733.26230805587034, 733.373856209064, 733.63920859482391, 734.54231492750034, 734.63704796743559, 735.1380692867026, 735.27990718273088, 736.75777792628367, 737.7317166088734, 738.16867983546206, 738.38108880290031, 739.29576449816602, 739.36107850065036, 739.38871660923235, 740.47562500629533, 740.73221074681442, 743.12154710306072, 743.95073766074063, 744.3846251770251, 745.19899285043425, 745.91555321081842, 748.2881308185232, 749.58655311031612, 750.68705785787711, 753.85497087497527, 754.96862314538055, 756.05753685575576, 756.76893911605612, 758.05858348930246, 758.37946656028419, 758.50299314625374, 759.60798647872093, 760.06891500681502, 760.25657441726105, 761.39017121685742, 764.20602045120768, 765.53775238451669, 766.08300731795964, 770.20170413944004, 770.42774771309098, 771.20658248255836, 771.4388766272034, 773.68896287340067, 775.32892565498014, 775.96620133276099, 776.21200188831062, 776.85787525863543, 777.4320912064037, 777.7649850853694, 777.8342214744697, 778.04573222506644, 778.69463141608776, 780.35640653147198, 782.38007565021178, 783.10886361165365, 784.06018313809079, 785.30716422859325, 788.23128687263397, 789.11953386963614, 790.82546170186288, 792.2032955688901, 792.35361065431664, 792.97397599110548, 793.52790155237767, 794.59118690886271, 794.99086325150961, 795.69094976684778, 796.0824969072678, 798.68707646519863, 803.10554155966224, 806.01459591912749, 806.32261804839823, 806.85393417769728, 809.16007754851512, 809.72236076656304, 809.9004564247532, 810.16203193440504, 811.3616388126045, 811.91603320328261, 813.383465978456, 813.88111542363947, 813.91148194441848, 814.26715378854556, 815.8622984634161, 816.0921782494454, 816.23724549949816, 817.2307984280817, 818.96108280652322, 821.45746005291801, 822.79764767280983, 823.96401447253959, 824.83051035122151, 826.07479793259768, 826.26420838960235, 827.34778813053958, 829.64638986685361, 832.19967217121382, 832.39690473079736, 832.57293843528157, 833.39918118508672, 833.45801150554973, 833.77683776507706, 835.15139646736645, 835.54428597824835, 837.23296171651134, 840.43990861916052, 842.11390204931149, 842.76463291932509, 845.26835318432882, 846.60642059069698, 847.0659054470284, 847.46396032469272, 848.31454746477471, 848.45765053003072, 851.05911770426871, 851.7011876360076, 852.49202120675818, 852.97246064535796, 853.55995457969652, 855.44760838472666, 856.46658235977054, 857.29512067769781, 859.00543808545001, 859.37491769373196, 859.61615047375801, 859.85867491855936, 861.32133315117449, 861.64018188526063, 861.7625643617273, 862.23367764357033, 864.18577368104945, 864.3422058511045, 864.80983720529855, 866.36680518603214, 867.42378848648571, 868.86355328576531, 869.41004957454641, 870.1367624949221, 872.42788701259849, 872.64119778717441, 872.68774907461068, 873.04317273339086, 874.72818710095214, 876.20271061666813, 876.28511227509443, 877.00158267091524, 877.61898956644427, 880.41104690477687, 881.63795085747961, 881.89056829580352, 882.55529527349097, 883.88216830153124, 884.75488631585972, 884.92414085045732, 885.11649761625779, 885.81437805218604, 887.21257038115311, 887.90080729066028, 888.48037066073755, 889.87809437951455, 890.03339297652803, 890.6900766554528, 890.86896262683763, 891.28396542481016, 891.82922186153849, 893.10606963333214, 893.55239746513053, 894.07440885764038, 895.86144996561427, 895.88515950756903, 898.23519386859073, 899.18782468605775, 899.54386566797189, 900.64445839204052, 900.9688678709872, 901.06743853442856, 901.17304262700907, 903.37442609351785, 903.4699801858801, 904.13893342284666, 906.01486383642953, 906.74896053160467, 907.03184794463471, 908.35036613741727, 909.1866835863616, 910.12807354159349, 912.71321846252067, 913.77080169181647, 914.60330841494783, 916.19442759754088, 916.3161519813591, 917.97528866547839, 918.85482718352421, 918.92513100451333, 921.90859703398257, 924.77044370267845, 925.96264835713907, 926.83170352310913, 928.02328022095173, 928.45834382207067, 928.6895077516217, 930.56791308212041, 930.73690698398775, 932.34119290111528, 935.18969042570086, 936.68189114879692, 939.20620518078078, 939.87874147249079, 940.13573811909419, 940.244184928815, 941.69329361145344, 942.09021517167923, 943.2998579852034, 943.45784211375542, 945.17434832882293, 946.96631319373103, 947.59518707884774, 949.88251748327798, 951.47802640245231, 952.37822984714398, 953.29310993866591, 953.7024716216813, 954.84370500826969, 955.10074766429398, 956.30670935084868, 957.18950554602145, 958.47762971874965, 959.05069977065682, 959.77322256977641, 960.28358828737566, 960.54548655215979, 960.58542425184908, 962.07995745869812, 962.67196635744085, 963.50404825656801, 964.40777431133608, 964.49416175569399, 964.88350647221614, 967.29702412736947, 967.32852314953573, 967.84026229703511, 968.93163164795612, 969.60716870095041, 971.86132645395946, 973.49557951657368, 973.82119235960818, 975.24868156951288, 975.50132148586829, 975.6772206803073, 976.3361425629198, 978.77610494262876, 980.60477074608843, 981.50836793014889, 981.65586136202387, 984.28703940286016, 985.03648264998594, 985.68962347977367, 987.78631792635917, 988.51765670588088, 989.00990829242437, 990.82073091733162, 991.82908485443056, 994.04841239779614, 995.5565602308692, 997.16425214083245, 997.64714155823197, 998.83548104698696, 999.50966277936027, 1000.6723678899889]),array([76.705443807168834, 78.90012390499642, 79.236813560933626, 79.614212523561903, 79.689513548978383, 80.752019231925829, 81.603838098066646, 81.974597562180733, 82.289197647300156, 84.665006829564092, 84.932082041295047, 85.225950845998639, 85.452201055180552, 87.210100761311367, 87.253590853563324, 87.392457913532752, 87.449660379911307, 88.262404472443421, 88.302786441587301, 90.548476552180006, 92.695057791433015, 92.97720633245288, 93.154657764875807, 93.254431539597448, 94.803650806012342, 96.957023695896169, 98.988294536117124, 101.28267210825322, 101.51252511379569, 101.89922440073865, 101.95468872444363, 102.62308916880858, 103.24361462720591, 104.59471343732515, 106.56799719555127, 110.02615543649407, 113.63064134864362, 114.83721785161219, 115.45452735667894, 116.23423761197886, 120.01886830687891, 121.16976709800919, 122.22503577856989, 123.69329357613732, 127.08045573864615, 127.49820324524892, 131.6798632431188, 132.65029409856487, 133.72835096613682, 135.54291792145159, 135.90019578139373, 137.07713274033088, 138.39422272338882, 138.49926036171331, 138.84699898016476, 141.81644691965627, 142.12174529206018, 142.64429403445402, 143.6763604366144, 145.37105429992113, 145.93470708215648, 146.33132264932334, 146.57035861579675, 147.39586288640342, 148.91833076141893, 149.49946288403552, 150.50511787656657, 150.58111052641732, 151.02392805453331, 151.66953400887664, 152.1845694270757, 152.52553512777192, 152.58412506887507, 153.86489334906031, 154.06898314047774, 154.80616920134693, 155.35834490640642, 156.20841553279041, 156.52006628629306, 156.55988094909659, 157.58347095425484, 157.6536815649184, 157.68447975542324, 159.26500899346269, 160.80441069650121, 160.86930095785996, 162.52927636337245, 164.39301939152938, 164.54841625392811, 166.19890910883035, 166.43627157965048, 166.95958886169444, 167.08469896293744, 167.30197524975182, 167.3381526460889, 170.22055298869228, 170.30507638148163, 171.30740920773869, 171.39210507478114, 171.90135940204195, 171.92631386782386, 173.64214140137082, 174.27913550937399, 174.67714934176655, 175.12128464445081, 175.90112964956236, 176.62750861849395, 177.01515350981637, 178.0471734224767, 178.84555012955855, 179.47186220383557, 180.10837704001383, 180.29355907053284, 181.27947359063688, 181.52565190160396, 183.13518473865804, 183.91826996094554, 184.96414437041736, 187.72486401020851, 191.39808807717728, 191.85236404531861, 193.18373131117318, 193.66289773601338, 194.1251001849904, 194.81998646487719, 194.86612333376922, 196.15737099489462, 196.33600641139984, 196.85704560557534, 196.99470900454875, 198.4995188732255, 198.56805528599449, 199.16573342806802, 199.72371070000625, 201.36389761148368, 201.61765827210388, 201.75717669893874, 202.38026978744034, 204.83704014278757, 205.16475741888385, 206.37955689160444, 206.86132046893931, 208.54968580111466, 208.77636837020353, 210.9940263505168, 211.41293937781484, 211.4975992599731, 211.72786561055827, 214.08209707693084, 215.34714264987687, 216.51161164067454, 216.96364780194091, 217.81202989035984, 217.99593589729511, 219.41906273981428, 220.31215093492685, 220.81679287522471, 221.03262803955235, 222.78583388176824, 224.35849895735842, 225.47499289942974, 227.50782248923213, 229.11232526778568, 230.72685294821491, 231.65102386567384, 231.80699769782305, 236.38362543597253, 237.62769860514243, 237.78400491051525, 238.12393280381784, 238.58063482721994, 238.85322140795665, 240.7935559185469, 241.36333455293646, 241.68153224084043, 242.53297161435003, 244.2610912742835, 247.16222310267071, 247.55244209631692, 250.38914955608428, 250.72908178778849, 251.2590420046279, 251.30217322661056, 253.78083349366008, 255.0089728243571, 256.34332297942291, 256.48886700815353, 257.96866938114135, 258.11184383584407, 258.25582926908504, 261.08491900309025, 261.51553151993204, 262.38776974387184, 263.64700767023999, 265.53814638234485, 265.80325167662681, 265.83504217807865, 268.25376174212022, 268.74713854630102, 268.99481718970577, 269.15239093896179, 270.0342147588068, 272.32695876094516, 273.12953841289163, 273.39718766970651, 275.38905181625864, 276.2935210852371, 277.50143908943249, 277.76437218383455, 278.50741741713318, 280.00544049146475, 281.68223998115212, 281.74407185228341, 282.52834951717142, 283.04799099444296, 284.43809833347183, 287.02831819659662, 287.35570099197122, 287.48676236130234, 287.88626625278948, 288.7954646670081, 289.52251884466727, 289.61845427048786, 290.6385025475879, 293.58232113674279, 294.06129250875495, 294.15470678017442, 296.27549136840457, 296.74237238939446, 296.79099781026378, 297.4898768714159, 299.50072868596658, 305.99204263383547, 307.15049869784309, 307.39895293273764, 307.85539049346721, 308.36714890409132, 308.72421492974001, 309.87734033901529, 310.23479745288085, 312.39817667694223, 313.03240228562328, 313.63259299353393, 313.7913629228994, 314.04901233754958, 314.34959238011783, 314.39492531152473, 314.71416428865263, 315.85121643054475, 315.99245501232889, 318.37857083661993, 318.69177697863523, 323.05991022688255, 323.47402102373729, 323.79876586460671, 323.97185365522176, 324.98313108388663, 326.5109901861685, 328.39671349529164, 330.06551558777051, 331.71595283165095, 332.78194450886298, 332.90993615674267, 332.93360556805749, 333.61379373909307, 334.82611542287106, 335.14516290082366, 335.62200105162964, 335.98231791966128, 336.63443280707315, 339.76663077707622, 339.95114664240486, 343.40850745046987, 344.00653920098438, 344.68399066671321, 345.20783394341919, 345.54787433470199, 346.07164148706471, 346.26603420894872, 348.34245388485493, 350.30911544132215, 350.9839699150636, 354.33101384572859, 355.53814661962588, 355.79174152481067, 357.48862490247285, 358.59765704357767, 360.32374801147444, 362.36617732056283, 363.18650672843575, 363.37973086171189, 365.02439900954369, 365.08759842936809, 365.75545868540718, 366.67136492860402, 367.50275571571302, 367.71032333918203, 370.32991549979812, 371.73777627207619, 372.05901436817391, 373.16424033574242, 375.36312487790173, 375.46611348741641, 377.16680161258409, 377.20619719758992, 377.74325395747013, 378.05862168991507, 378.96611394709294, 380.813849886811, 380.93437406065254, 381.68488418983128, 382.60486940696865, 385.20126427458024, 386.85067730167202, 387.47566863325301, 387.66678220871808, 388.47066489836732, 388.73774599089927, 389.0194485450603, 389.85025369791697, 390.64111046637004, 391.32329166456515, 392.12744540342032, 395.30949332624101, 396.64743237735462, 396.69599661026427, 396.82983672477314, 397.39674742135412, 398.52706126095796, 398.6469727061164, 399.11239875091678, 399.20036585574553, 400.02371119136251, 403.5961181063638, 404.64392918226383, 410.23540714923359, 410.54616647587869, 410.99078032101096, 411.04430071509222, 411.61206314419627, 411.81126172019532, 411.84260930917628, 413.48642608433823, 414.62018748870946, 415.90394131544059, 415.94740196922038, 416.05961978909181, 418.74303730110375, 419.04048461559569, 419.76293139890277, 420.09234500916591, 422.33031331231388, 423.21024235668347, 423.45420409648051, 425.55957762407218, 425.87806596015344, 426.03927120718907, 426.33542120531962, 426.77373990096476, 428.91174430561205, 431.72120262861199, 432.81535747467967, 434.6700641484743, 436.92048459030008, 437.88788969296411, 439.39940323446029, 439.5752500729057, 440.58599431083292, 442.44747181893575, 443.04990727618167, 447.49930402343199, 449.91597757632047, 451.95367946576357, 452.17477842637498, 453.25705201713276, 455.06570454007601, 455.38296216323346, 455.49861795121012, 456.24497483479132, 456.77207541663006, 456.91596898862065, 457.61238172530892, 459.75572057490967, 459.81553920444907, 460.6430898934625, 460.84469658119605, 465.88036303484154, 469.08879419524044, 469.56368564854756, 469.65707960913204, 470.11120572537334, 473.3368906453228, 475.41444010418638, 476.94046509297345, 478.06274950696456, 478.73984169786587, 479.14132335912115, 479.60779584327304, 479.91079161126129, 480.47291241894141, 484.56963041401167, 485.67779140083127, 485.81610122138926, 486.22395685212865, 487.54519965151104, 488.19789385674085, 488.39429787382954, 490.82117720992289, 494.01119302761145, 496.54504422790785, 498.07094132198927, 498.66263622612541, 501.0433530499551, 504.62656924522662, 505.73640159053247, 508.1177715129682, 509.32575049965214, 511.68020871294505, 511.86288039899307, 512.33721360312359, 512.63103398870442, 513.21540654526302, 514.40879537981266, 515.75876893563236, 516.15533903863752, 517.30838767299986, 517.75795287638994, 518.39996075341151, 519.79940478083813, 520.25549088822038, 521.51602064199017, 522.14422453608256, 522.20051072573028, 522.55698957041625, 522.66075862017487, 522.99028976546788, 523.38231598433197, 526.38435864885503, 528.05505693507234, 528.14632365141824, 531.00138802909885, 531.52238465586697, 533.23499784829357, 533.327448519776, 535.88670276716994, 536.44584909968557, 537.88816609442233, 538.04055036107934, 538.23771932075249, 538.88153452303516, 539.35624252500281, 542.20359061698218, 543.0430498016683, 545.38322764583643, 545.67003264389768, 545.69891581380728, 545.82996257464822, 546.87636003431908, 547.12313984382024, 547.88735565824345, 548.22427396368539, 548.31822938971311, 548.33972900241713, 548.71250441880534, 548.83757685811997, 549.26543627682065, 551.89779210619497, 555.94589194593004, 556.30827575487626, 556.50809596556712, 556.67244417851498, 557.43970950807295, 559.66013662748253, 559.9022927718662, 560.26124447794223, 561.14678718733273, 561.82869303490156, 562.77468049806657, 563.80950283146763, 567.10491063642462, 567.99449349575423, 568.74303389567865, 569.57914983930038, 569.81051320578536, 569.90940930260081, 571.45429678422465, 572.49098502559229, 573.30352981618933, 573.73584037833496, 574.31984895079222, 575.77392147297383, 575.8119940172345, 576.43398907766993, 577.03728681100915, 581.0483710403181, 582.3249963742204, 585.9114537461063, 586.62373195133534, 588.38644497393523, 588.91787354078826, 589.25966693264888, 590.63564823542197, 591.13243163963557, 591.95991774649144, 592.22815232867674, 593.4593383028398, 593.93926720499974, 594.18772096395037, 595.46105835288188, 597.52315289346859, 598.34166573547645, 598.39707485740246, 599.18320534866598, 599.38417951350755, 599.79419877306043, 600.39759711248325, 601.44230535753434, 602.12631597312463, 602.32691991058186, 602.85596912948824, 606.26545858950851, 606.53648593801415, 607.91129573617116, 609.45476100110022, 612.52173077881139, 612.63349699732908, 617.05588191324625, 617.08789093735504, 617.26576279828646, 619.56313176580431, 619.82013613832271, 621.05688576746604, 621.66244357181347, 622.36290548508987, 623.32560471753311, 624.02377852558823, 624.19874547399399, 625.45705554575113, 625.7144656121427, 626.79394698107296, 626.85974749753643, 631.19601214614033, 632.25241727775676, 632.57619673197155, 632.69141077876134, 632.75691004194653, 632.80440402189799, 635.00819740849022, 635.59886479795705, 638.13565722993258, 638.38263083544689, 638.76910513210998, 640.07138565922128, 640.97314716062272, 641.93474713268563, 642.54052438825522, 643.93606984247367, 644.61457070650738, 645.38777610827628, 645.44764915670225, 645.63320927464213, 649.97894514676, 652.64797073404725, 653.71634450666681, 655.21486806423093, 656.4465368060745, 656.91955069277617, 658.10815884866008, 659.77270965776893, 660.40788667856759, 662.54856518221595, 669.12335279569788, 670.19178173815226, 670.97441010071509, 671.75073148305546, 672.00987247193211, 672.8612798005837, 679.12483049227512, 679.22737910918772, 681.17693136438299, 681.55987050225474, 684.15938996314651, 684.92390776179013, 685.4541474414051, 687.68975894724531, 691.3602294754337, 692.32652816981283, 694.3798561821776, 694.45543860429996, 694.97530225225762, 696.21243772383593, 696.91123643241917, 698.21905901282355, 699.20001445000446, 699.26189965404626, 700.88909098495139, 703.39914158403667, 703.85009966242853, 705.21584826778724, 705.29021964535127, 707.85690435534696, 708.19184191526165, 710.78660343336207, 720.15111816796309, 720.36398333085492, 722.4401805404749, 726.34869717998856, 726.791787046114, 726.87575891550318, 729.91712974897064, 730.23697485896514, 731.40987603247572, 732.58136781417591, 732.85981488430355, 733.34807936116704, 737.04142420329686, 738.43018435684382, 738.53261988650524, 743.0724895430053, 743.3758694083582, 744.65224609464246, 745.90197736180426, 746.68715477504941, 747.23010209786639, 748.54196003031529, 749.03428332539465, 749.25393779821786, 749.39145715796133, 749.61498065923138, 749.75377794891233, 750.96615575898238, 751.95280051339694, 753.06834313146192, 753.35131911371866, 754.09575602797906, 754.24498953258001, 754.76941195197242, 757.31654929383728, 759.80865994074566, 760.30956657909917, 760.45059321331871, 760.50147986548029, 762.07505661779783, 762.41853598420869, 763.69697885468099, 763.8482823040556, 764.33663971868123, 764.59426049562717, 764.64027893514924, 765.28271687576569, 765.56223591306434, 767.40627751296392, 768.54015752920861, 768.72293007937776, 769.8127976079835, 769.9737574688254, 771.2020013579654, 772.46977855324189, 774.85942249294146, 778.34863180731179, 778.53011667080807, 779.77940503661637, 780.16624072387503, 780.60791451853129, 781.61952834640715, 783.24866466826211, 783.36626385658724, 784.02233948338323, 784.6713886870732, 786.43279379464298, 791.21791637436786, 792.54216876941052, 792.83078730817476, 793.57066405797616, 795.82775683407795, 798.24473054273926, 798.39871598085847, 798.52472445348963, 799.8679980561933, 800.19825044167635, 800.50952744989559, 801.22167877026754, 801.32627922944175, 801.57331328132852, 804.55709410107318, 804.82489596811763, 805.97079879721537, 806.41609109517287, 807.21110608994422, 807.6590729958192, 809.08776812311623, 811.19680798402351, 813.02318681995052, 814.58981847297093, 814.86465778750312, 815.82324814607864, 816.31020138314511, 818.81416619614515, 821.48102749834482, 824.24907260543648, 825.11455201027673, 826.06004687219888, 826.22630148159442, 826.75597928017862, 827.3596693966964, 827.39652311632892, 828.01731999199603, 829.81625561723035, 831.34062309411411, 832.31019593951908, 832.44524062243715, 832.523293541371, 835.07324228404548, 835.69327282659265, 839.92679604308807, 842.46587689964474, 843.41268417658796, 843.59049368444778, 843.9409933755818, 847.66559409119509, 848.49982914048189, 852.84552993771058, 853.93976827245046, 854.01611638468296, 855.54495407218178, 856.41115316596677, 856.44091398405737, 858.64993360815106, 858.89339531486519, 860.17098181129882, 860.82635437088106, 861.76919226284394, 863.75525494977751, 864.24944820898861, 864.48824420527217, 864.88806604879608, 865.98899412432627, 866.17299774935918, 868.51023586747829, 868.72040000917002, 869.92531017656131, 870.55095167333559, 871.22665192805368, 872.76659918344762, 875.3511520337895, 876.05441945456096, 876.34417038567892, 877.1981817241026, 877.62263151823117, 878.0103371462543, 878.59611979784927, 878.94053019443174, 880.56802580342855, 881.97230170232672, 882.50633987649474, 883.13985782470604, 883.90492830003325, 884.90683758479429, 886.38053189978598, 887.47066496776574, 887.9025657265513, 888.94903452457811, 889.03248950530644, 890.48922171675986, 891.7477965154518, 891.93823531111263, 894.18863518839362, 895.96048027623988, 897.11478803743023, 897.22961077029765, 897.83942095970781, 898.94618693833274, 899.4986308897993, 901.27956436666318, 902.45403274831847, 902.78854743642353, 902.97228105286388, 904.01606460228732, 905.41403704073741, 906.32251673758901, 911.62823143982723, 912.02917036048325, 912.07081335355269, 913.86366596504911, 914.95230749234111, 915.22731627431938, 916.06202654881258, 916.59984730609744, 916.89846663553317, 919.57586711927763, 919.78639090217484, 920.64248091989816, 921.94165824716606, 922.04459750253238, 922.40708998739751, 923.04876624316739, 924.77977210084362, 927.24730850565675, 927.35335264655532, 927.63511017189364, 929.35112825007502, 929.84985445374002, 930.05738416725706, 930.72744001318995, 931.67555199855644, 932.55078110780846, 933.08990497666184, 933.44917622147773, 934.54148888130555, 936.27050968472111, 937.74017719725339, 938.03867320901577, 939.0665143022394, 940.39531986538168, 940.56823190519481, 941.26507743718196, 942.0248617841944, 943.16862877670826, 944.567270416626, 944.60961956515382, 944.6346742187618, 945.2092128695682, 946.60063384512068, 950.03357679340445, 950.160821894734, 951.57736850532797, 952.49110981326373, 952.67685449644171, 953.6741206503433, 954.0172417869145, 957.48900218637266, 958.11838830097258, 960.05322785150599, 961.31130792678039, 962.6898843760398, 966.54335005061569, 966.73202570573574, 967.29921934297988, 970.96062502281018, 972.45372844939664, 974.31893214505908, 974.91205494491055, 975.44117406326825, 977.5164388698538, 977.54480624153484, 977.77726475269947, 978.5001645953887, 979.21218696881419, 980.36787728437719, 980.81928157622053, 982.37383731884086, 982.81941575145834, 982.93675257459836, 983.6933922133253, 984.45843698958902, 984.47979001670308, 985.88386021161193, 986.72124763056081, 986.99606597568993, 988.70692264375202, 989.69909729470169, 990.15995015481394, 990.24353527920857, 990.58348422055371, 990.75066363822475, 991.01408609858197, 991.22812581984624, 991.27955277386968, 991.42088151204905, 992.7547504766826, 993.05271580378974, 994.85073832378077, 995.97063679605753, 996.680161681203, 996.82895258081203, 997.68700640073416, 998.05365538187425, 1000.4423079701472]),array([45.911933270714478, 46.774636621140573, 47.296018681039186, 48.380728616009705, 49.230893946524645, 51.661863190347368, 51.900916359069257, 51.953353919423499, 52.59630998590584, 53.057610048821324, 54.729465463565219, 56.776483930928023, 56.802453714015499, 57.043734958731271, 57.869123741321076, 58.141852026475952, 58.33417934383462, 58.920334932031707, 59.221075114674932, 60.477020392355179, 60.970391966538827, 61.09582382524539, 63.730639043252651, 64.253448247965608, 64.445884670889868, 64.603051303901822, 65.580971324569916, 65.748199509702275, 70.287272766461015, 71.344976511920208, 72.123955957697476, 73.515754042145488, 74.035091679615192, 74.36111681782377, 74.597790629739578, 75.362739682773835, 75.411333695735451, 76.002365200683414, 76.876769533755663, 77.019012534871152, 78.626517114307177, 78.688315893850685, 78.959341889794089, 79.703901398401854, 82.499983826859506, 82.799606595175717, 83.346907800807017, 83.617474298540799, 85.909959247461629, 86.412800561713155, 87.560726944555114, 89.38395132774049, 89.657526423897863, 91.760595436187543, 92.157146095932802, 92.327770867270885, 92.830189085493302, 94.578695461164045, 95.047710725166141, 95.659029622041899, 96.25382560458327, 97.312794937543487, 97.984652934380421, 98.783284351391814, 99.215630966297212, 99.513197164167039, 99.549251839742951, 100.08293941860082, 100.78644621499086, 102.26651992541647, 105.05417522525835, 105.92153995669673, 107.48969580586174, 108.0910715962093, 109.5735824499796, 112.20834475524236, 112.87819376871103, 113.0360452239554, 114.15063434934744, 114.18461971634569, 114.36170224936507, 114.58078871309482, 117.36258416968934, 117.75658127946944, 118.19153481948787, 119.85478508678834, 119.96245562041481, 120.01052061871478, 120.84245635365514, 122.28134010035286, 123.33717871427784, 123.47701753845963, 123.5790133746595, 123.74326252258753, 123.82933619877757, 125.06396494413548, 126.64446421833973, 127.81734999190046, 127.87533891023564, 128.03627888604467, 128.28067083876962, 129.69559748048812, 129.92205805820365, 130.00542565880968, 131.05706382944035, 131.2686110859056, 134.28586954113868, 134.60548083777175, 135.1888824030444, 135.50170261340187, 135.70373432013574, 136.04141149509312, 137.07448555416369, 138.03372883600647, 138.45126117177841, 139.53189532903141, 141.89275613556592, 142.83749013855078, 144.03013811025576, 144.29386798084835, 145.47863359429903, 147.20524279792338, 148.01595356180695, 148.4272046900987, 149.7390427951602, 149.98440712418281, 150.93081577328985, 151.35645608531243, 151.48846665636071, 151.83836431807146, 152.59891859235708, 152.81523521883898, 153.93266374068168, 154.35149759614066, 154.78473802710946, 156.11804943803844, 156.90811765093258, 157.33399307190115, 158.08269921109238, 159.38301813930048, 159.89926020125574, 161.5978706793567, 161.91154068044108, 165.50176822379143, 166.01356060768612, 167.87664758165545, 168.0842980493785, 168.1260774982911, 168.34174113520967, 169.99534381742723, 173.48558735946077, 173.80961159245385, 173.8387858061318, 174.77495761642299, 176.00928024691783, 176.49974902729613, 178.42220372808373, 179.51352423267446, 183.04552543594457, 183.16642678100882, 183.23875943113862, 185.13402011393021, 185.55302093286997, 186.76701863167807, 186.97710181178675, 187.47548942062917, 188.5484911752425, 189.71580853014666, 192.55932994548141, 192.87454785983826, 193.54815476272947, 194.09233461636609, 194.17275728636133, 194.19368199929201, 196.41035955633345, 199.48458889238043, 203.61450115288463, 204.97289216830472, 205.48966088769328, 206.31490662494747, 207.13074989095989, 208.00716795472562, 209.05527414969276, 209.32505422381178, 210.78564428591926, 212.66834329369456, 212.92760712859476, 213.55393055362686, 214.90016032179153, 216.93294151347271, 219.69817147842619, 219.98074121901894, 220.00538154798286, 220.23266358519285, 222.80158909240419, 225.40467888464332, 227.29688984601066, 227.57435000230291, 227.95566681309106, 229.62597526817504, 233.11451080023772, 235.7161727839995, 238.52155467400743, 241.76450202393673, 243.35093414423355, 243.73179450795232, 246.14396986650675, 246.19315803096347, 247.5181656816261, 247.96715455289521, 248.08087891755903, 248.17225891245229, 252.15277375331837, 252.66453298511829, 253.58858912480684, 254.35374413521964, 255.66342037441126, 256.55267570251812, 257.7367827307753, 258.34498546881912, 259.29077145017368, 261.60556472093123, 261.63596447044307, 262.76194692909417, 263.5086524279734, 263.56858460318546, 264.15524904943481, 265.43407286894484, 265.79167949736603, 269.18981600767978, 269.81289808406859, 271.44184545235464, 272.2157336078613, 275.23252270346529, 275.37905299228868, 276.8693723420576, 277.08394221483553, 277.61266856914426, 277.67266732709493, 277.82125948566988, 281.06619307652028, 282.97438317920972, 283.42039837812723, 284.07836315391654, 284.77389152560164, 285.80357032802016, 286.40247128795721, 287.72810211743808, 288.40745087748002, 288.70568640167352, 289.3832970020934, 291.02241771435706, 291.3985406811147, 291.7372380590366, 292.11823038777118, 292.37382599677363, 292.86059444579257, 293.13020839843824, 293.28837287519451, 293.50428050717341, 295.36142542831027, 295.68156457107102, 297.42192844465575, 297.77569153565975, 298.30100741186766, 298.74520534300893, 299.53048789237869, 300.26293570469147, 301.00456848408231, 303.59082634904189, 304.00942180278855, 304.87169294041553, 309.03229505032357, 309.44368677711549, 311.84673743713734, 311.94108222299684, 313.12099648654601, 313.65034695385509, 314.03878524842588, 322.51080013860553, 322.5770332009011, 323.65183715819495, 324.36428296757271, 328.46243596844141, 329.09039219264702, 329.57039583157814, 335.48977387209004, 335.91421247813554, 344.6624773431808, 346.69970230436064, 346.72665913947174, 348.79350888088419, 349.15416428661092, 349.21999863540202, 350.25564343553299, 350.69724897180674, 351.83324964037729, 352.77298108644106, 353.6075704604591, 354.28077280842047, 354.54641811954696, 354.65808947025403, 355.50741210967436, 355.60649548455285, 356.56298306224232, 356.61054504368872, 357.99689086128888, 359.01624827018094, 359.06609544867189, 359.53003693733172, 360.69570771877471, 361.09397033481599, 362.99313474274453, 365.52912424580722, 366.17726195023999, 366.91737626396713, 366.99436851590923, 367.49883271680801, 372.60800622722962, 373.1490508704656, 374.26836413813305, 375.09630529498173, 376.33919840522765, 377.68920070964356, 378.34361971833317, 378.56041235553278, 381.79174484139338, 382.18844092248901, 382.53053954283723, 383.56651823608217, 384.42358208326993, 384.84521312452057, 386.71850242814497, 386.86063001280138, 387.25786394272825, 388.63714680653493, 388.83541041340766, 391.68367842760239, 393.60389903369162, 394.7395972355111, 394.87712685752388, 394.97831826922288, 395.18674105426203, 397.28516290479473, 398.4678451300864, 400.44267349732979, 401.67498119456991, 402.57370405685964, 403.59075344334747, 403.78445647657657, 403.88532094699934, 405.40357218433616, 405.4500821062245, 406.59495790756347, 406.80317050522109, 407.0771376872429, 407.92301432415701, 408.99738871676112, 412.0013070403453, 412.68606437477047, 414.41685901930134, 415.0405101495208, 416.15599095958896, 416.35763418747183, 420.16420143961466, 421.23049660337932, 423.80314336444462, 424.89558735202576, 425.53643792827222, 425.81113495213066, 429.56299186567998, 431.60902010925827, 432.21468903791333, 432.6961113154241, 434.34673496303134, 435.19588501325944, 436.17588963751996, 437.12087582883566, 438.62249896606198, 439.72619210518337, 441.2119429163493, 441.31469617040011, 441.50201626247849, 442.13288679493934, 442.24415787780873, 442.44463609524507, 444.52905320397332, 445.36421441398227, 446.49759990451196, 446.65328176007921, 446.7973292248198, 447.09512323351635, 448.83912631741953, 449.96338512835825, 451.68442812154808, 451.8985983060382, 454.144050451037, 456.2185534982105, 457.47074370027514, 457.51466033505397, 458.31842974357482, 458.93335002021439, 459.47027839957877, 459.94205755262789, 460.78815393070192, 464.01301100533323, 466.9279289057589, 467.6423953406964, 467.69137122526729, 468.546036199551, 469.42930980213958, 471.46337670634887, 472.34652079815851, 472.43848766831763, 472.78205268871216, 473.36299232238326, 474.015346632248, 476.87266959391394, 477.91495226217239, 480.00487401900915, 480.43748902604267, 487.22141402782404, 488.17137187815359, 489.03702994919672, 490.18988217762387, 490.50504024561081, 490.61526265951011, 491.13565657792117, 492.17994662522227, 492.82437766742606, 493.36080147417761, 496.34246148019974, 496.77107402758548, 497.36358951408334, 497.71140943925383, 498.67121545224893, 498.76238943817998, 500.11666805926637, 501.25961413591801, 502.19256197147553, 502.93981219799326, 503.02534295391501, 503.30487702048589, 504.42496938966599, 504.55009326218664, 506.59235318764314, 507.77079367865946, 507.85063811181618, 508.22678167545473, 508.95965387875236, 510.68994889716697, 511.15609136951304, 511.50172032417851, 511.65374684335126, 511.81828282006512, 511.88148231681123, 512.30563515270148, 513.30744518794643, 516.28828604724174, 517.04556496893201, 517.14691276376425, 517.81449478048944, 519.41547890119716, 519.47063851341409, 519.7016150512228, 520.38629318337189, 523.0948966318424, 525.13943103080737, 525.91848411808508, 526.26199370399354, 527.66005208444051, 528.61612484157513, 529.61013596209466, 530.2980530909191, 530.90410801450253, 530.93748351042439, 531.0240787578864, 531.6577853301693, 531.95096391205459, 532.85345631926668, 535.24428340496809, 536.02600349372563, 540.32960213268495, 541.52746756373313, 541.77867730165963, 541.97375292685558, 542.99709834151167, 544.57983712923408, 544.69311785400862, 546.00579273505969, 547.11991499399835, 549.12901577019488, 554.88301654312909, 555.50051267882975, 555.68108522546481, 557.5551883478812, 559.57718133076196, 560.79490275251169, 561.47220217391634, 561.52690330514088, 563.70564619413767, 564.06918717760425, 564.98772758069288, 565.22524763843751, 566.16251665205959, 566.70871596556867, 568.57069628123679, 568.69741483131111, 569.30414475081898, 569.94039189985142, 571.67400023192783, 573.52376909963914, 573.91762332034568, 574.2973900212229, 574.70028133720336, 575.2914739068608, 575.66620011577754, 576.14590960427972, 578.53484937463247, 579.39509740057224, 579.43429214455239, 579.77305273843331, 581.09699956515135, 582.11481250534939, 582.59160873434519, 587.44083445889203, 588.69937050018291, 590.13532730211512, 591.61435400662072, 591.73034770061929, 593.02038303974859, 593.61431889471248, 594.80886254874792, 594.86248821291736, 594.90799904844368, 595.56183424261758, 596.74770863212086, 598.43262388392566, 598.46953542601318, 599.66965108912086, 601.14283267549365, 602.35870581669894, 604.23581297216685, 604.27380397077059, 605.12876077213582, 607.0097429552053, 607.9964682761057, 608.41230600046686, 609.63620117714584, 610.27213537116347, 611.8009806049289, 612.23646767092725, 614.06195364908967, 614.63611011728074, 614.95318096584185, 615.27100700581923, 615.48820004685103, 615.86977243324225, 616.56664912444489, 617.06413959675069, 617.13664191816508, 620.24325420906609, 621.43751456997438, 622.03152083652071, 622.25597178202679, 623.45318968923186, 625.71168423846166, 626.06887309512035, 628.58483380650455, 629.39448841823037, 629.71223432996885, 631.81741949628895, 632.72160337172295, 633.25031125708324, 633.92879639666251, 634.82006143411195, 635.2755404439522, 636.93050550974874, 637.59014042033186, 639.1712179452652, 639.96579781548041, 640.83817637196194, 641.07410335526015, 642.59339160221839, 643.66347713828463, 643.92093443777651, 644.78301684735573, 646.25444272559469, 647.07494053198855, 650.32414258426957, 651.27709783716307, 652.55785674608376, 653.72618198745306, 655.49175903462026, 656.55442740580338, 657.01612454645658, 659.49564538627374, 661.7834854626177, 668.99287431848302, 670.08769211611116, 670.56670670129529, 671.34968153588818, 672.58167810075213, 673.7609123329413, 674.84838947990465, 675.04126935851957, 675.41842559607915, 676.24767822173908, 678.70800450317302, 679.59542879794606, 680.62639088203946, 682.76936217158016, 686.0756349224589, 686.22373819976804, 687.26467758702506, 687.54046862640587, 687.65157138749748, 688.65714374932463, 691.34936478514999, 692.61911357711347, 696.45906582885129, 697.01971469364742, 700.49685166742938, 700.99385896398644, 701.69457252175994, 704.16220600961003, 704.60223660467841, 705.40209402793187, 708.50613418184457, 711.6429148698636, 712.10506496566893, 712.38786738211832, 713.04185152773846, 713.15181159001281, 714.80495511144682, 715.12771366471304, 715.66064354768264, 716.46313952716741, 717.81759117061642, 718.61808027369375, 720.04385407116058, 720.16079145325239, 721.25228314653077, 721.34496925888357, 721.63105980267653, 721.68636879673954, 721.75576438944802, 721.99608858878719, 722.82404575968167, 723.78009190465207, 724.00678633544408, 724.44670612356595, 725.10347739043357, 725.65302576521594, 727.39913523048631, 727.49379851530114, 728.99240051001334, 734.82420419144739, 735.02717104505075, 735.15243453454184, 735.54920406540941, 737.19580356370682, 737.45103588923632, 738.22806120378277, 739.09537767860957, 739.14250681587646, 739.29490306338664, 739.39991581077595, 739.43723809803078, 740.04837636029822, 742.587629258682, 742.9479316461518, 744.37283398976501, 744.94387220375677, 745.16097096108308, 746.6366457283458, 746.91766784038418, 747.24180181234226, 747.53525141657997, 748.15735369370077, 748.51879148530941, 748.94424236243026, 750.24784891199477, 751.11788173858133, 751.34382129576829, 753.33584795719059, 755.09450052134525, 755.19242162460648, 756.29688118295212, 756.69955933054939, 758.92915785320145, 760.04657091942806, 760.9421897017412, 761.03872816545629, 766.24149894139532, 766.44669449083858, 767.12833308596487, 767.23713870785355, 767.49861273900763, 767.71881816085079, 768.32098338917513, 768.76994777782386, 771.9001855062744, 773.0255481508907, 774.41691935067763, 775.06894376983882, 775.99715574009417, 776.88872665232657, 777.19863402537112, 777.64081438008509, 779.68204555136003, 781.32400125562629, 783.11687968473757, 784.47828033852966, 785.90901332366491, 786.12664493254147, 786.60049843767581, 787.23165723201953, 789.35693815424054, 789.73935071848689, 789.95764498150402, 790.17658613510105, 790.95883208053772, 791.31678909896561, 791.40587126812488, 791.685743595536, 792.19160633371223, 792.53023013538677, 793.03939921561619, 793.67571975665305, 794.72206702543463, 799.12074617645681, 801.00564937202068, 801.13450785022746, 801.19394127634996, 803.37391653673058, 804.25915837872492, 804.35131171286753, 808.91601694743679, 810.15571430093053, 811.24102764971076, 811.89032228289693, 812.16255395157395, 812.48496999097063, 813.80889170848968, 814.48579774373104, 815.11327491023167, 815.28943927824957, 818.06324441489301, 818.43115278454286, 819.39429794500802, 820.2957668050243, 821.25139245719288, 824.07533023687631, 824.54374795212891, 825.31331768692246, 825.64987034922399, 826.67606912529072, 827.09631577245045, 828.38265077994663, 828.41797653219567, 828.55423318736507, 830.28065737354427, 833.31500373685446, 833.37465899025392, 835.76167512021186, 837.83228841682671, 838.54852054238825, 840.84160384211827, 841.11001586996019, 842.69179010604591, 842.92605580696784, 843.74940965494056, 844.54606137959456, 847.97353455391863, 849.06719740644769, 850.49767796741241, 852.04637568807232, 853.67553663320075, 854.15104868972674, 854.58000253964678, 854.71530370777145, 854.97996715860234, 855.01098994373604, 856.48356928524117, 857.57064825956684, 857.59638669720562, 863.71849726642688, 864.29417196392308, 864.55092903002094, 864.65406931122902, 865.82880935514765, 865.881057283377, 867.26948740679336, 867.31841965573562, 867.75161320717939, 868.82592086856846, 869.95441310044032, 870.09342889482832, 870.1343952109529, 870.91040782769574, 871.21123509497193, 871.93004325131744, 872.14019821595878, 872.3082438121013, 873.14439672466335, 873.85710153330092, 874.45485559337635, 876.04517762505759, 876.28292211457779, 876.398009579166, 876.93721023638784, 878.31358946463502, 879.21762163995049, 882.78667620587726, 884.35060519827493, 884.83283942046171, 885.3517125103466, 886.1200725596849, 887.57148643819539, 887.92543717187414, 892.0357338942938, 894.87262076095226, 895.13056359025745, 895.41117621107173, 896.12282145101005, 897.45545225806495, 897.54050661734084, 898.03842650499644, 899.84031181098339, 900.63883814966084, 902.68227881588871, 902.98676872459896, 903.43074111696114, 904.45981014228391, 904.94566337001947, 905.22340328652047, 905.76795344621166, 906.19214643908015, 906.21568066581392, 907.14588465010092, 908.49609798954657, 909.1280441830977, 911.33002179614664, 912.04018538581749, 914.20330202785408, 914.27532109969968, 915.08546401696378, 917.67174061428784, 918.7257669412727, 918.85654587440047, 921.81384065483621, 921.90481318969773, 923.45102554285586, 925.57273479584535, 927.10057431089581, 927.87009047795357, 928.39931976596154, 928.68593450216702, 928.9622036959546, 929.53362838936278, 929.63753339615198, 931.13046728097413, 931.98721127462545, 932.94677035752864, 933.74772165128957, 935.6990210136122, 938.74282338620537, 939.80644809202329, 942.1198185310019, 943.802864079546, 944.21154457308671, 944.62492657446023, 948.05991422701175, 953.05092085807985, 954.34940875823656, 954.75889454562139, 954.89038140356047, 955.68007251696326, 956.63652835277492, 958.43206537248875, 959.2075540195043, 960.24833363389223, 960.29105216602022, 961.14131458198653, 962.75190488261694, 962.8352330497994, 963.55192435653441, 963.66208929064453, 963.91814966603545, 964.432427602031, 965.77270077959281, 966.8165990491874, 967.35417967866738, 967.67103038153971, 967.83531396042997, 969.95000759569587, 973.04901014322616, 974.74618727971813, 975.90682538251417, 976.38983606969248, 979.11728430596634, 981.86933721107505, 982.08491111175408, 983.13431071458706, 986.16406949401744, 986.23617506996607, 987.00895110665556, 987.35523845052785, 988.89611899042848, 988.92783123243112, 991.53099113009773, 992.72197950707925, 995.21689720381994, 997.82881147723708, 998.4696008826287, 998.65127930124174, 998.9045636095284, 999.2598131720506, 999.44348661808795, 1000.8407618782556]),array([2.5353974642155386, 4.1708471309076183, 4.2611440377876528, 6.95994773640993, 7.6905228797009819, 7.7305930498442201, 7.889081117039253, 9.5647114210846098, 9.8847266896474846, 10.91815119370685, 11.588067745399515, 12.514200756413926, 14.452366588325233, 14.552391425119747, 14.600391568221696, 16.597433727379332, 16.960733504973799, 18.492433424509805, 19.696259558288943, 20.108262394126331, 20.267689802235488, 20.954453372570914, 22.183284290601208, 23.253687205460505, 27.522858991900904, 29.008590068959705, 29.170341989550597, 31.351713430811866, 31.48092492922073, 31.607973983777814, 32.198322347413274, 32.944304297867752, 33.030708681655028, 33.73996929088382, 34.364852001078638, 35.206130423558186, 36.340469247256607, 36.468525277717248, 36.587823415866801, 37.886619923531306, 37.982048341218224, 38.336895284463232, 39.060702722016252, 39.615130220192377, 39.877437742995724, 41.10767146530911, 42.659842208065804, 45.785411885427528, 46.286171951118298, 47.117074490444388, 48.26710382701701, 49.699957445660907, 49.774156058366927, 50.193015623247682, 52.195937789423773, 54.2377460729763, 54.629522906128734, 55.322687862626204, 55.432448422984244, 55.710394902421456, 58.274339987072544, 58.434254231781829, 58.456197900457525, 60.027578853507372, 61.326189485030355, 62.40031273920178, 62.822988920333479, 66.885590457987931, 68.028413627366021, 68.388540309271733, 68.502508955378218, 68.673956836137862, 71.399447351309234, 71.706690016753214, 72.561505540671988, 74.610033896929011, 76.440162357323644, 77.248196636778133, 78.72953599691607, 79.434048221613438, 79.519186126034541, 79.808510279254506, 80.238967283152689, 81.091386459177457, 82.051724670859755, 82.135749238629217, 82.177752460104983, 82.341577717628425, 83.256678979986745, 84.212732452062923, 84.941867751072763, 86.382110102609403, 87.911958813126333, 91.314539161306683, 91.438967379638328, 91.844308839510461, 92.774906104176125, 93.116736216996543, 93.182649036778542, 93.51689711651548, 94.776151782461099, 96.11707074249054, 96.583215089103518, 98.682343656828863, 99.476934500797512, 100.15507137513555, 100.2468229080481, 100.72905456814956, 100.9035507814794, 102.97529505512031, 104.34957132269498, 105.20344056218127, 105.2313903198152, 106.19586037562109, 106.90417193514332, 109.89630605540717, 110.17459878210325, 110.56372751012314, 110.9325727008692, 111.42621933296321, 112.76662320274956, 112.81656786059011, 114.14372905571699, 115.57134061978458, 115.7199179065574, 117.92505422799991, 119.6212295941656, 120.1502891846286, 122.0033895350612, 122.41958751781011, 123.56728015766078, 124.64756325265886, 126.13354689171713, 126.45924160409032, 126.77399296498999, 127.57230099173871, 128.27662158006822, 129.60777398759754, 131.01781655372602, 131.74404907116485, 132.64669480236105, 134.47114972445846, 135.62407675849258, 137.59447397130731, 138.82352865900771, 138.93491418165246, 139.09848372118753, 139.29716990606377, 139.34029317641509, 140.32435312890232, 141.31830832377904, 142.16217446225534, 142.38990844662121, 142.46041235386951, 142.75728051213616, 143.38856375000555, 143.60063105197915, 144.48184774209275, 147.04231063027788, 147.40113426599564, 147.42138602940932, 147.54104110730725, 149.13013780821211, 151.00107022751786, 151.47723188796633, 151.82204778974702, 152.35583668627567, 153.50429787827244, 155.40424003988588, 157.89508699767552, 158.10181504333835, 159.26542721103226, 160.20679715702593, 161.36114013102798, 161.79816902879082, 162.43462442119119, 162.54012753617636, 167.46432961908383, 170.05881232336853, 173.59318850777979, 173.80468540458833, 175.51009392476379, 176.03286629353599, 177.2150551084917, 178.3873873065227, 178.58711446229864, 179.15104941754723, 179.18996632823848, 179.66143862796244, 180.9267936530938, 182.43395907236791, 182.79228694300028, 183.03152058777272, 183.07933959872136, 183.14981969419065, 183.40459302568212, 183.91702128988084, 184.3037916468011, 184.41731988592488, 185.38178599312798, 185.66700750562359, 186.25015787996443, 186.35415053872032, 186.47457913675862, 187.4471516288489, 189.45505972443473, 191.81142169754037, 193.30129057640153, 194.40487294415121, 197.17490101576456, 199.07976901850685, 199.26462982913856, 199.30171777738718, 200.0168579271492, 201.16907935450584, 201.64152095646136, 203.50534028767891, 204.84530372943635, 205.5989530109986, 206.00867304041279, 208.93542135003565, 209.00942412781345, 209.66400377464214, 209.68651384838424, 209.90479118205383, 211.22268259825177, 211.31231506260258, 211.69699620628327, 212.08979329859548, 213.29323804396751, 214.81520431263911, 215.07870874920152, 216.17921109094976, 216.74994938624468, 217.05700481237361, 217.08131678889896, 217.10979764431642, 219.13209999087812, 220.3824634082907, 222.73734153724749, 223.32564150768667, 223.73444880360557, 225.09249081511189, 225.61830876757915, 227.30596646685157, 227.52596785348646, 227.74996036551005, 228.05933622444161, 228.76314030831131, 231.33103701078417, 232.66024817660937, 233.63440659348822, 233.66201962046969, 233.97441444533607, 235.16325168615933, 235.54871121020938, 236.22698078743994, 236.72359968426079, 240.77206313631032, 241.63057580092155, 241.71397136820281, 242.84136883321545, 242.90933208276431, 243.30076204469327, 243.927441302749, 244.76363163232466, 247.16278532588578, 248.11454659711981, 248.58675775601381, 249.38123892526332, 250.32482376903056, 251.97349100567533, 253.17964118016579, 253.43926844852487, 253.80675205733704, 255.25539806216509, 255.63446743387667, 255.7682875622109, 255.99426641796205, 257.31319257027837, 258.27241580647313, 259.9506141463184, 261.51764043953784, 263.20819418165263, 263.88004577170295, 264.36773338200823, 264.51217847516989, 265.79654147003748, 270.28767202765192, 270.94451758892188, 270.96915082509651, 271.1472988590599, 271.3600957205494, 272.16800092421903, 272.85207335356716, 273.9152687346438, 274.01104529223795, 274.04192365675874, 274.55070570973913, 275.74387456097986, 276.45004100489211, 277.03596648020681, 277.59680908349037, 282.64264619845471, 282.79880891586379, 284.17395565467683, 286.43839354513716, 286.7928657177228, 286.8237696118905, 287.07439279731136, 287.74835359661938, 287.79250327323189, 289.35812730325466, 289.93573000026464, 291.13901015269084, 291.56572386809603, 292.0660329453832, 292.25963684941036, 295.18552827724983, 296.35496630711191, 297.52942209395837, 298.10342550635437, 302.06910091522025, 302.28447523830323, 302.32864687004326, 303.02285924372183, 303.76861449631849, 304.80256391165813, 305.17866543525707, 305.43364065030988, 305.54082469002992, 306.35695193952682, 308.42563333715344, 308.77806475382675, 309.1070743815759, 310.76431423942319, 311.40573137337952, 311.52357707888814, 313.2995139592395, 314.67826499134554, 315.60206819970762, 316.60788793201851, 318.10162741933198, 318.68242462581833, 318.74002654184869, 318.91140996018504, 319.98024247244228, 320.01163231448453, 321.72627537997596, 324.50122898860013, 325.19712602086986, 325.76860454238954, 328.80855083111487, 330.77511102450831, 331.63710083033067, 332.09983406467757, 332.95488854018078, 333.53764566440691, 334.54243996335651, 334.81998194319056, 336.43519917087775, 337.70696815840012, 339.04024214615896, 339.85841013959163, 340.01478054641279, 340.06820882078108, 340.40663275213905, 340.50672223874227, 342.08730247788839, 343.91404451562698, 344.41402742764944, 347.31752356866031, 348.02048314498688, 348.11592782226006, 348.44527368516196, 349.37877155608709, 349.3989990346592, 352.27254707439346, 353.99209410563134, 354.07835693184677, 354.14775578119139, 354.51270375201511, 355.39997474985375, 356.7049978533276, 357.1271449173417, 357.15524136239219, 357.73911441783758, 357.77309283033537, 357.86253420345366, 358.68789926637243, 359.20006151982227, 360.10003420275666, 360.39760814576908, 360.4917835109834, 361.00336683894403, 362.32093059044564, 363.12882503763683, 363.35191033532794, 364.06080030109337, 364.09188393200998, 364.60968905732, 365.35551207596717, 366.01706222661431, 366.86597220276866, 367.406433397, 367.72827863460128, 368.09946780349549, 368.51919722317018, 369.88004384907339, 369.92802272858995, 370.5955852998195, 371.17210289342984, 375.6304101853998, 376.01740459194554, 376.95996608995119, 377.08944552506671, 377.98699340997018, 378.90737210011486, 380.07979957622246, 380.5879213656911, 381.22831888725869, 384.80482276921083, 386.34048903103252, 386.93039194175185, 387.93670604792607, 388.88570900160107, 389.86996259460949, 391.07830697390614, 391.26605145199846, 393.0415725129144, 393.08569411825732, 395.03414298980618, 395.26584278471381, 399.10628105937258, 400.25904555286752, 402.02525854808601, 402.57261779163139, 402.70579293913715, 404.01344280737908, 404.18318939494372, 404.69801996085869, 405.0444072993788, 406.09307956575151, 407.70974076174855, 407.94619818318409, 408.74813542384845, 408.81612211353576, 409.51991787613912, 409.58407252678865, 409.6900975472376, 410.72919173933474, 412.13909809473779, 413.71535031104298, 414.01815867049106, 414.32576823271631, 414.5391714374033, 414.81553673096226, 415.1211798459928, 415.37441756214406, 415.4407729593799, 415.58242250329187, 417.22106017508992, 417.69731154336677, 417.79021998563564, 417.90866566105416, 418.06601555984713, 419.06453462023973, 419.76062865444987, 419.90257584687521, 420.61114233994891, 421.72208604917847, 423.79494869855637, 424.24964489838442, 424.68449902677128, 427.50846525818622, 427.82760124271914, 428.56745154318725, 429.84607955263544, 430.54087755739573, 434.05755441296424, 434.44461112031706, 435.38876320507404, 437.78473878627244, 440.49849576448815, 440.74040762244948, 441.73775333919076, 442.36428706578289, 443.59108282763981, 444.59771482477487, 448.74326267363949, 449.06997948290694, 451.75038612450322, 451.77621921923031, 451.92390313831277, 452.1800117824036, 453.08951801175868, 453.48662378876787, 454.37909092032174, 454.87878147153043, 457.54876386105002, 457.69845082911752, 458.05637193349196, 458.81591599008209, 459.67166192276181, 460.20104015203492, 461.41112812318624, 462.70832572938963, 463.39992901619922, 463.99022752407279, 464.06004687063586, 464.76757678094111, 465.79148321318212, 466.77808592627122, 469.04657596685587, 471.21657205247124, 471.58496028754382, 471.67962822528824, 473.01478115088184, 476.10210658525727, 476.87036326341263, 477.12786528887824, 477.73745050614878, 478.70136797477124, 479.26599707950356, 479.37447390056349, 479.92753596551347, 480.10112339067808, 481.52572852570574, 481.90042461413344, 482.50801962833935, 482.66839705660777, 485.98573395870466, 487.15277655135498, 488.97929510298724, 489.22784810785521, 492.20536047339914, 492.50143664028445, 495.96606387388647, 496.06819897462532, 496.22215502857148, 496.41430755635304, 496.65372987135896, 497.35838317943478, 498.6057222663477, 499.38671712978817, 502.49106945976871, 502.66034140007173, 503.43547919871992, 504.22180373503028, 504.75632526623286, 505.77303713657591, 505.94267544094885, 506.8708317824503, 508.36829808928866, 508.93422005650962, 510.48653058704258, 511.71595304208034, 512.24766657738019, 515.34655185443228, 515.81364359760335, 517.08161692712633, 517.47985538734406, 518.49559426289409, 522.66789308815623, 524.48296915826199, 524.87543029295989, 525.294816012414, 526.54468987015139, 527.87869280681446, 528.51271927642313, 529.47613401349042, 529.54143671444308, 530.26327273064351, 530.29336492492484, 532.2958876322308, 535.1648462750702, 537.65154149913224, 537.86524988114854, 538.37789379843741, 539.61581224629128, 540.01241588657024, 540.70986238123533, 541.0046017227678, 541.449240703805, 541.67652046940032, 542.40320923621357, 542.9255315432431, 543.05402035493671, 543.85394472983808, 544.76213017385544, 544.93451030618382, 545.98185782188375, 546.0104611415461, 546.14856798098197, 548.4419072474758, 548.50432335819255, 549.28036523638434, 550.64111519238088, 551.08776441022121, 552.12781803581584, 552.87456617911823, 554.06465540384318, 554.24144423355187, 555.56169535962363, 556.36290632410476, 557.55969432562483, 560.60634351127851, 560.9418921599538, 561.41185998225853, 562.09999884061904, 563.69009136136606, 565.76355169251201, 566.52730191726482, 566.61336341280673, 568.09015619759839, 569.63999597232032, 571.99315960031834, 574.18410699129595, 574.25212117448064, 576.32074148049139, 578.85658037204814, 578.88085089140122, 579.15823383083182, 579.49956295390268, 581.11145157593364, 581.34136361279457, 582.95516631456269, 585.74012938275223, 585.88184813672058, 588.19091888424782, 589.47257492481435, 590.86041362136132, 591.25987174565751, 593.14612223341942, 593.25622212789165, 593.87228850552276, 593.95973905509413, 594.27267058227733, 594.49656484797708, 596.98982991871674, 597.7869742209997, 598.56037013023399, 599.03552365488724, 599.85534745148334, 600.35309796645709, 601.41966025003569, 601.74556951919726, 602.46513214337494, 602.82031744507367, 603.37353565567719, 604.59945755936656, 606.48638176484269, 606.91553919913304, 606.94426710228856, 607.12813083514595, 607.92705670514829, 610.64529033578026, 610.87521570870751, 611.35266562055381, 612.14066557604167, 612.33057915313702, 612.45008374485462, 614.06207588359439, 616.08718091016897, 616.18403567216535, 616.63462491752921, 617.6218445344474, 618.19996026565161, 618.61526311990428, 619.06369518765018, 622.08542791561968, 622.79864642003611, 623.28680762778265, 625.16808410467956, 626.17446662290126, 627.06027369388562, 628.09804421555054, 628.1700864571917, 632.43909706361853, 633.62996679435798, 638.30375756557805, 639.77842690271882, 642.17472857168354, 643.04567107525099, 646.00723938480519, 649.47671329869809, 649.74531620381299, 650.5129382510703, 651.16381089749291, 652.21355913787283, 656.22441694583051, 657.0432463083464, 657.51228469026819, 657.77515058849337, 659.41503492270226, 659.5693450652451, 660.21802853204099, 661.43732573784223, 663.35013420166842, 666.08965998316683, 667.34263474302611, 667.59634616222263, 667.62984415674066, 668.63150849754038, 668.96843757200384, 669.81775102087624, 671.71685005444965, 674.99268413134735, 676.21589346419819, 676.58734250133716, 677.35405227110618, 678.80315090121894, 679.09488093171194, 679.52682399894138, 682.75474055569089, 684.56265581177001, 684.65205328802028, 686.34857671413499, 687.44165595982781, 688.12190619611874, 688.38696275153768, 690.36390258636629, 691.68747245810459, 692.15140098824543, 692.70736295837787, 693.91293270536448, 694.12999754555278, 696.89881455582281, 697.11922707184738, 697.2838616882276, 702.24119305769204, 702.76587942484002, 705.21925987827012, 705.42517836599518, 706.19963246081215, 706.59743906204733, 706.79170063642164, 708.73047764022647, 709.12733944990305, 709.85023779447999, 711.88367169419598, 712.35507615275003, 712.97661859800132, 713.90491298437189, 716.57893751127642, 717.68306267100513, 718.92190681951797, 719.32865399483808, 719.46391673764742, 719.67432083932374, 720.30388941469516, 721.69155912407894, 722.68833624871388, 723.07693146303143, 725.20728509946889, 726.80416383857835, 728.04156738218717, 728.82684750364751, 729.80529350982249, 730.40724229737361, 730.71856864797212, 731.14253808276567, 733.05718471672844, 733.56638449692673, 734.75997907382646, 736.13805211167983, 736.7704004942475, 738.03759230317519, 738.29310166355526, 738.6092176285448, 739.02695797793785, 740.76829408213212, 742.6600251427044, 742.93130375380508, 745.7211885041861, 745.93166559887311, 747.06361175323673, 748.2117835400868, 748.62571168897864, 748.98457133786394, 751.94956229647914, 753.68754356748582, 754.6333819132094, 755.18711364447154, 756.95332333969702, 756.98205785084633, 757.2104216697179, 757.48500495093879, 758.74803960295515, 759.79214822593713, 760.08967700528058, 761.76864817700641, 762.79739781909677, 763.4065180971354, 763.74988330741201, 764.99060044494695, 765.19274552774527, 765.55785136116822, 765.99913883929571, 766.62284703086289, 767.05086080017156, 767.09289154409453, 768.48511685709184, 768.68583784933571, 770.53795744765682, 770.9056593953261, 770.98261854980615, 774.20245159485535, 774.44341150790967, 774.59410163890436, 775.90637331973016, 776.18081989059488, 776.72288230965364, 782.69019530832986, 786.57873809508715, 788.60342601709499, 790.02373486518115, 790.2549668120198, 790.49045000074204, 790.53337817894692, 790.6536569984836, 794.33740727604174, 797.00828283221119, 797.82823607154978, 799.45364017297993, 800.84087122473375, 801.56875966455368, 801.77270133254854, 802.13466839806199, 802.74218444536052, 803.09089012859249, 803.65691173595189, 803.75805849287724, 807.33873967271404, 808.01335183770391, 809.05377311472148, 809.69489859386226, 809.9613631350702, 810.01953324843555, 812.99102044992242, 814.12117648085894, 815.88734619099318, 816.15419225459539, 817.94949511246591, 818.19292824362572, 818.62263312313496, 818.65416954091529, 826.40282023380325, 827.0014735190357, 827.60081507677387, 829.95969368889155, 831.09045128283356, 832.63891096475083, 835.01092812900538, 835.0734166294485, 836.81115781349843, 837.46521320670035, 838.48728937318936, 839.74629424459556, 840.26895734439006, 840.3670424048961, 841.01385181399075, 843.42008315866008, 843.57298555129182, 845.88817570216645, 846.12814312901958, 846.29468239092807, 847.22723008221499, 847.39136066408537, 847.8199079671374, 847.94677326279816, 848.14810641568238, 848.64278366933024, 849.91397365046089, 851.66764925356426, 852.3806759720012, 853.90269851637186, 854.12280861818988, 854.63763186996573, 854.90591263108115, 855.75224589182415, 856.28472332485296, 858.36744115450551, 859.71199622158088, 860.2556204648746, 865.36558713525176, 869.45737836531339, 870.60898791019133, 871.55334398721743, 872.132077344089, 873.0214686959838, 873.13062378621487, 873.18014923944554, 873.62128229541395, 873.65954945169085, 873.98769161916948, 875.09353258647036, 875.82756674277641, 875.87718569496906, 876.45974207689574, 876.818475826184, 877.40882572612395, 877.84435090195916, 882.14446519888281, 883.08258204259766, 884.43825774521815, 885.48516308498836, 888.68958138018695, 888.83768652204435, 889.17692713796305, 889.8925507018206, 890.2001888383237, 890.270324213202, 890.74335449105808, 891.37585216043931, 891.5378682817659, 893.36656949825397, 893.69395921445971, 896.33019272756781, 896.97520914948848, 898.11508363041639, 898.1751169139003, 900.5888824995717, 901.05051822020971, 903.91519122721684, 903.98654532431772, 908.95918140988999, 910.20669398502616, 911.90555267036393, 913.05182469210934, 914.28922196035899, 914.38932490611865, 915.67519832641267, 916.85851244702542, 917.68497702494983, 918.30849434551214, 919.17768905347737, 919.68040822056457, 919.7750592014894, 919.92112331744499, 919.95171962823406, 921.7663601738443, 921.78853229475101, 924.89921519757377, 925.2751985071576, 925.55875949699964, 925.60652847173435, 925.63693533451612, 927.66242710855056, 927.86689547591527, 930.48049994040025, 931.52233207798622, 932.23460678218157, 933.08737336255217, 934.03124946292246, 934.69488531144464, 936.06791641616906, 936.29311260539498, 936.4102695724182, 938.72770039148043, 940.17043909184099, 940.33406261934067, 941.2864249999501, 941.46430620930926, 942.05916062152016, 943.15008689496051, 944.11888369249129, 945.14618112208746, 948.64610039525303, 950.10051967073116, 951.2801477719147, 951.71756449672455, 952.37002777114583, 953.5612473085032, 953.95653537858743, 954.38621444950286, 954.74267779451077, 954.92361745126027, 955.23360290852213, 955.86997195317974, 956.14396843493864, 957.33783881060594, 957.56358451162248, 958.680259320544, 959.22787134672751, 960.03439366957355, 960.08374291144742, 961.99437041168858, 963.44770473941719, 963.77268033934274, 964.33068554665795, 964.50865492202604, 964.71368198117864, 966.30697668848313, 966.58157063757062, 966.86912433935322, 967.10120536128954, 967.89750086994525, 969.61708847730233, 970.22657955455679, 974.28693982313268, 975.72239287568027, 976.82720163836052, 977.97530224385082, 978.05200819204913, 978.98394959497978, 982.47078409485096, 982.83747084534866, 985.52911751831118, 989.04535700845452, 989.76639320372874, 989.95849226142479, 992.66653655675657, 997.40483377839007, 999.31059469756246, 1000.7758360848189]),array([32.035478417345864, 33.795690000110724, 33.854585888904147, 34.095587953639118, 37.385447702435336, 37.649541269791463, 38.042388181314678, 38.622642231592991, 38.980388961409204, 39.823520444236451, 40.054770032320214, 41.798847043678698, 43.57869453034295, 44.194905623755446, 45.770556236072693, 46.062459646960569, 46.161164401962886, 46.650414848656894, 47.480402450498339, 48.708990755040901, 52.151044409237173, 54.802910123941331, 55.734440031911248, 55.968632107479337, 56.111430467059023, 56.424550154555988, 57.942138616798559, 59.352925173766359, 59.418995832893764, 61.593533190136043, 61.706052630370074, 62.120293392151837, 62.220630236013854, 62.623759847357974, 65.552775783731903, 65.620811781985267, 67.752918408912066, 69.072776443338228, 70.18206236235666, 70.463769310364356, 70.624495861692424, 71.230620436294117, 71.626556833962923, 74.236304104112165, 74.908177800874682, 75.495895927963147, 76.17866746027471, 76.579403249945187, 77.293240479011629, 77.791783331785908, 79.132057538483878, 80.663559157961487, 80.711902167170422, 80.956068758429382, 81.247780659972008, 82.239686780461724, 83.274775423611587, 83.631639295764543, 84.201647237528661, 84.788812030671622, 86.69583574380664, 87.211128479182065, 87.352587257810782, 88.263997155372621, 88.388757066310376, 88.428426671879734, 88.514695998434917, 90.242148229917788, 91.910534289650087, 91.943912566887676, 92.111622769577281, 93.234205430528888, 94.818044476285849, 95.647162125582682, 96.282977746972364, 98.445353841466428, 99.926265789090579, 100.51169218419679, 101.17537864169068, 101.90018534284287, 102.46878803374173, 106.03304418842511, 106.44991237315071, 108.29398479861696, 109.3369438415023, 109.36892345906269, 112.04956227383433, 112.1553919328026, 114.94402843217622, 116.84443406349584, 117.06564782195281, 117.28785737266234, 117.42805784549456, 117.46823174836771, 117.63250982351497, 117.92392218211658, 119.36679445881275, 122.24068117358988, 122.50040573842563, 122.54911485523576, 122.58607780248924, 125.74649461914716, 127.38906927030261, 127.74956706379827, 129.15284673119234, 129.97215413453893, 130.78573150171735, 132.02530563452024, 133.62912888390412, 136.66307067292666, 138.68577483785486, 139.74598720830167, 140.24893182590995, 140.59054725236535, 141.40174178489789, 142.64645864207239, 143.30488987596951, 144.10559265817457, 145.27296283984907, 146.16063161905981, 146.29077758310544, 146.54630964936831, 147.07546868600213, 147.75445797340342, 151.10484691638027, 151.46501954793621, 153.22124465483498, 153.39562354744726, 154.8210255152963, 155.42241353507478, 155.92250040334858, 158.03488308838183, 158.22706195781777, 160.48686016600672, 160.62524624890597, 161.64782015593664, 163.4055278367876, 167.37369222123795, 167.64066976151835, 168.30843753212409, 171.15609176862279, 171.84830934103084, 172.07649367522365, 172.20500451558655, 172.44862609684705, 173.48948483665615, 173.89126594076507, 178.24793262549755, 178.75789927943134, 179.99539686284032, 180.68832494660631, 180.94846779573706, 181.65355555197556, 183.35260674811232, 184.79078279701753, 187.73420336421722, 188.89964544835757, 188.98018802089243, 191.45030280346967, 191.66475037290934, 191.82954069337998, 191.97069382463692, 193.36440852251371, 193.42050944527648, 194.53286258016342, 194.69075612325469, 194.99939181015421, 195.27613125947951, 195.78669534681276, 195.91026077587773, 196.67883239986793, 196.79367639282748, 196.85873094450892, 197.87038026727927, 198.31146944311308, 198.89565354960126, 200.3634536354717, 201.58606680756759, 203.01940972482558, 205.74040472186789, 206.10306394694288, 206.39311959329359, 206.43160868526573, 206.74854458187343, 206.7687098817218, 207.70361747760566, 208.57678357140682, 210.76212120277015, 210.89542249048941, 210.91853484374423, 210.9628991963811, 211.38739199799465, 211.64693010988958, 213.15098957770036, 213.66004897766894, 214.75530900554682, 215.57792106163137, 215.75521238028551, 215.81334702967499, 217.61702748655654, 219.06190116463685, 219.5466428169112, 220.9756838349185, 222.32246995237134, 223.85273128000296, 224.79935133361622, 225.46051049543385, 226.14561969964771, 226.89122420561634, 226.99370555060031, 227.27243348959536, 230.26131772996376, 230.57273033140422, 230.80784913573237, 231.49181204405326, 233.22784417992713, 234.295226271122, 237.29648096887178, 238.00943202890994, 238.39010856121729, 238.85558091270255, 239.89493019616845, 240.13293023125507, 241.14964100941631, 242.30318073512197, 242.57767199957109, 244.45931823190978, 246.48000129126396, 247.43332742199112, 247.50289776486716, 247.7308050271362, 248.88721205032851, 249.25894837561589, 253.45538066640103, 253.78257179308932, 254.56586959600111, 254.91427975061208, 256.22231891211453, 257.76827728246548, 257.8649113053246, 258.39792797708941, 260.45806741075171, 260.93438137843452, 262.34118679402076, 263.54701259530333, 263.63078055747928, 263.80663073363405, 264.05071976255522, 264.54790497242612, 265.74535252851365, 266.25910067366522, 267.79812784447915, 269.1375790731002, 270.62280187645342, 271.71088994895479, 272.30320636860426, 272.62960406751569, 272.97853506968971, 273.74800307498464, 273.77178742277317, 274.49430410718367, 276.68081576727877, 279.82028072015822, 280.11273882268551, 281.27620785683439, 282.98780480210792, 283.96537180291659, 284.40495591623846, 286.18884920783444, 288.66875433532419, 289.48771534873322, 290.24401154882071, 290.31061759383164, 293.11499183832302, 293.36485633994153, 293.47750416173216, 293.54951748916432, 294.26721045932572, 295.27522380719898, 295.4958539422849, 296.81799581097573, 298.53443086905588, 300.12183337744278, 300.99120371174831, 303.23245103043485, 303.26636368584246, 304.14151808773443, 307.91817104517236, 307.97027635289072, 308.69601576846935, 308.79237596504413, 309.69674462999058, 311.38693709577319, 314.18991319847817, 314.68856881557667, 316.93265436506056, 317.91090739970269, 318.54623301553926, 324.10730237483176, 324.51380299750053, 326.98745174626612, 327.13338101743466, 327.99241657198718, 328.32139779970697, 329.29095397743413, 330.39990473351315, 332.91996768170696, 333.88125155625886, 334.08981469392324, 334.47285245842966, 335.05683495115971, 336.01378507014113, 336.99777498293952, 339.64685967275676, 340.24907856920646, 340.60894545273476, 343.66332915427097, 345.13111115744778, 346.79858764670792, 349.23959954162711, 351.24160690335054, 355.25187189140848, 356.73955191375404, 357.78198822501332, 357.94683340214613, 359.96495845162713, 360.05850027779189, 360.49781762091817, 364.03603064229753, 364.57345433333541, 365.59109489630606, 366.44996897463227, 367.42018117830702, 368.80775942361436, 370.24906108867776, 372.78481456275, 373.43086294806881, 375.89266837835697, 377.44396824799782, 378.67099320911956, 378.72065302359044, 380.47534950923426, 381.42576430167071, 383.61387313795825, 385.3044345252224, 385.46859455768771, 386.0972633999387, 387.03515974039254, 387.53705914074169, 389.59715089631476, 391.36604349945776, 395.5550544986296, 396.96166096739245, 398.00779770906411, 398.2118309442551, 399.65614206069603, 400.12455307488204, 400.40802363440719, 403.81976316573815, 404.85827368716468, 408.16102131744088, 408.73431536259983, 409.11726335270578, 409.57820769013944, 409.64119097410327, 410.83979567406095, 413.68300823409186, 415.43745387894103, 415.65887189630843, 417.8605532624477, 418.04298335801161, 419.28858058936646, 421.1159301160688, 422.79868668336644, 423.67581290798387, 424.61598702969775, 428.99130486662887, 432.22886099781908, 432.67158008225545, 432.92003472606217, 433.42568900114441, 434.13757841996454, 434.2435946278851, 435.27847003410284, 436.08204646592367, 436.31669725488814, 437.7489025052792, 440.24531884795113, 443.94624874387313, 445.23922556198818, 445.75448566801708, 445.98764518878249, 447.26747672504968, 448.44960098604793, 450.74240714050057, 453.19762467857976, 454.28928217585621, 461.75830453039606, 462.49279393973956, 462.71710728445231, 462.78116674304556, 463.13033478781858, 463.96431299657797, 465.13099055306458, 466.11170754173884, 467.27610670680502, 469.40664012377965, 470.82024945719292, 472.77288224251186, 480.0775136341054, 482.98424572537198, 485.40080643613931, 490.26196456679179, 491.29504332847239, 493.09188196476617, 494.52293228418853, 494.98139074422568, 495.44352626151613, 496.289184360165, 497.22866300524822, 500.38629451084739, 501.89201139771768, 504.26969583795261, 505.7173175234891, 507.73146307964811, 507.76109565072153, 507.92773128265543, 510.94026065800801, 513.09866384814063, 513.35898452902404, 513.75034279493229, 514.97288884104887, 515.6277223957311, 515.66419501469875, 516.98982027622606, 517.852278000056, 518.96992378983748, 520.92185278359716, 521.0709715160242, 521.9337089949455, 522.58705281699258, 522.70764581949254, 523.56369079843546, 523.67132024367811, 523.84471323433149, 524.19786425776942, 524.46010202866057, 525.94222171656293, 527.89684450010861, 531.15916396778255, 531.476178037453, 531.71773449312286, 533.72959741679881, 534.58691309205972, 535.45177014025887, 536.17242909246318, 536.28330367914907, 536.66415748252768, 536.7844641800915, 538.15312451096008, 538.31027300522749, 538.50882148322751, 538.64041575037288, 539.63114524362629, 540.03484468211013, 541.30054002371071, 541.67173581000213, 542.93723030091053, 543.75779649110984, 543.94634764920124, 544.03694835705551, 544.49220958512478, 545.3345367918306, 545.55049864427826, 545.59538873034126, 545.6268911574939, 545.7914949050587, 548.18057039905625, 548.27949923270876, 548.49584736732243, 549.42873071697716, 552.66962755819645, 553.1193370380081, 554.07110322588119, 555.21251759901861, 555.73124406361057, 556.17704503041693, 557.59764610561274, 558.08400786351831, 560.79651636982965, 561.41422747302784, 562.9195209995645, 564.19739615705544, 567.47211719634493, 568.43040075100134, 569.84147328986228, 570.05290734715641, 570.3656857791708, 570.93509279013608, 571.2685759069409, 571.3605945168249, 572.94245019762582, 574.41393041959793, 574.58175809120985, 576.9632304444325, 577.42445464590844, 577.56494087867156, 579.01326661297674, 579.5974040126024, 581.14869591178979, 581.5624911664944, 581.62891968394626, 582.5273189561151, 583.34388312213491, 583.37294693316596, 583.51079169234777, 584.65676667599178, 586.53119740790237, 590.78389014641107, 591.94008153786388, 592.5708473725216, 592.72462094418745, 593.66577294070771, 594.38375607654541, 595.84207209653653, 596.11961754929052, 598.11955859549414, 598.90273010291821, 599.23320399462932, 600.46197459191944, 601.88156656056788, 602.43783391428565, 603.447180809428, 603.68029841616249, 604.12225527527119, 606.24131925300662, 607.05683216797979, 607.64327534564586, 609.52962077555071, 610.03531300643442, 610.24048185081392, 611.56610409108009, 612.04409538764367, 612.3331690661081, 613.05923301109749, 613.89219659054663, 614.11988491924387, 615.38222796448122, 615.866637217689, 616.08905616535014, 617.12000065577934, 618.75223113824734, 620.16040561053319, 620.62726889796625, 620.76352100602367, 621.17917985972076, 622.17954673823249, 622.38980799490366, 623.31295235205721, 624.0856541780347, 624.24041737695325, 624.5645150115721, 624.59196018417015, 625.35937672731131, 625.56784712283957, 629.06157115361987, 632.61435259819211, 632.9284107350511, 634.12503105462815, 634.36706137526335, 634.75033024976619, 635.4986663666175, 636.29744758071251, 637.30049205576529, 637.77494768454756, 638.10102041306777, 639.337015020639, 639.52080914592398, 639.64409497099393, 639.75418848235824, 641.87952289635791, 642.10643879736188, 642.48035821576048, 643.98780020183096, 646.45758515928981, 647.00872942567366, 647.41698073628459, 648.12363497841386, 648.43054841822834, 648.63399179064504, 648.85134893763416, 649.28051932329549, 652.83655957611995, 653.18720848030375, 653.20935895247044, 654.74895856151204, 655.30787703088413, 657.66746626617487, 657.74953179933709, 658.55730228647406, 659.73546561975002, 659.99644051368921, 660.40903105304108, 660.84016689703935, 663.32987247499284, 666.43972367515357, 666.69330630231138, 666.95121012805816, 667.35980050885416, 669.43460810661168, 669.75817294157491, 670.57409193618696, 672.00146943729396, 672.15703457707752, 673.54433735696375, 678.12001194406082, 679.98800981584361, 680.39851508377615, 680.54437546109421, 681.97735452416487, 682.49793765443906, 684.31453446416458, 684.34918410914349, 684.72193913152375, 685.32017065344724, 685.85298529191903, 687.58989778150146, 688.46311736372331, 688.6424119705074, 690.01174974687638, 692.89469122783532, 692.99254221053616, 694.01254815518519, 694.94494324512073, 695.13057518668245, 696.56781909440303, 698.28958380139125, 698.8910843952026, 698.92922917796091, 701.05883529932748, 701.67805586752536, 702.65887731928001, 703.388993857439, 707.39238121555161, 708.65138984466012, 708.69863968063805, 710.86709218755345, 711.10319027771141, 712.06688498020458, 712.84228331392455, 714.41222532016172, 715.31772384915655, 716.82235921206552, 717.46472731821098, 718.82041581648502, 719.58780793403548, 720.50323235077224, 721.23471099398432, 721.31609767738632, 721.6446179525052, 722.67839546469929, 724.42191415437037, 728.40091139499839, 728.45847178818804, 729.25699994386412, 729.35806733250229, 729.8685215074222, 730.02168142634446, 730.48740691202204, 730.62160884062712, 731.64872160860898, 734.24143818139783, 735.6719583308427, 736.66534812659165, 738.63614364121452, 738.92652891673879, 740.05033249325675, 740.67276700676928, 741.58161797176956, 742.2557351547448, 744.18425190537835, 744.42537244838604, 744.75485974284402, 745.41674924399194, 748.48238349809901, 748.9022919037526, 749.78562936756646, 750.03175462282456, 750.47084335512852, 751.1137296348229, 752.05561599814735, 753.16760765943798, 754.82072224020555, 755.7631257179205, 758.44516551223091, 760.17123251665259, 760.70714007972003, 761.12289413629173, 762.19191866854499, 762.78257324337085, 763.32365496867533, 764.3533294586166, 767.60633221235082, 769.79829029929158, 770.91657227258918, 771.87008694114331, 772.14439994253405, 772.22566289689269, 773.37285236931768, 773.62081264397102, 773.78174089628635, 774.96694196653073, 776.35588374724909, 776.72184605984592, 777.08364631724589, 777.79505764509884, 777.87241523708531, 778.00304721669875, 778.9232509882122, 778.97896161192239, 779.04913189972183, 779.55141526895443, 781.13884129413918, 781.59669301392114, 782.53644202155112, 782.56486224192622, 783.16624458167541, 786.5733158474419, 787.05667746351548, 787.73265092262193, 788.40619123246074, 790.917746637601, 791.60268385725112, 791.77018663254444, 793.0361027108238, 793.58307553293264, 796.6536071565672, 798.60619094476851, 799.53915221002092, 800.57701218074715, 801.11029800266988, 802.73713561169973, 803.38508004592222, 803.75632343412701, 804.88237310904617, 805.21399342688846, 805.78537464153499, 806.00330232914973, 806.27026000108629, 807.24700972612038, 807.60521256394009, 807.92613434000032, 808.2565902989561, 808.9161685642639, 809.47636082303427, 809.52949632522518, 816.4088548531148, 817.53918154922656, 817.74891560382355, 817.78366428633831, 818.92534262377649, 822.50495179221002, 824.71942490879894, 825.82372610099787, 826.33519532073524, 826.52979829241622, 829.33244296870646, 829.36930960424797, 830.32169896479763, 830.92711343118401, 833.01024877206726, 834.03515316656694, 834.39411472467293, 837.17145016739346, 838.42025707620928, 840.1076866180415, 841.29864831587361, 842.77899900950445, 844.58649425620888, 847.30572654757293, 848.71554671957108, 851.0167665227699, 851.11555036466461, 852.53663107658076, 852.71335292510537, 853.31286393960136, 855.992044113303, 856.82455048436134, 859.09319980460975, 859.24320786507963, 859.3643526477241, 859.51287084103512, 861.03331430191724, 863.26241011709203, 863.76523537727326, 864.57175922617682, 865.78230747049543, 866.89135605228387, 870.64590221805736, 870.9402709132047, 872.28432706804585, 874.23229355724936, 876.03364602490194, 877.47196304311069, 880.3260932947951, 882.12539360618996, 883.32705961281658, 886.81546134537439, 887.50738327515603, 888.34906418429932, 890.75026149361304, 893.57579544160524, 893.91571530934107, 895.18567626085758, 897.45200257221836, 899.11237746701408, 900.04586948544272, 901.04576570262361, 901.40884622967235, 901.44900603354711, 901.47174474681003, 901.53376112813987, 902.05792579623687, 902.25685080116079, 902.67215091719379, 902.74401809274093, 903.6225324553518, 904.38826966631041, 904.56152955471521, 904.75060952228216, 905.67345677853393, 906.50492438301774, 908.23224011645902, 911.45542890467357, 911.96191920680133, 912.90040124667451, 913.24085497891349, 914.16197995703646, 915.16420049191106, 915.18878311994217, 915.50561252082059, 915.5328486091089, 917.91567756475536, 918.78086997443654, 918.80272492055872, 920.31603359561677, 922.22237087002691, 923.33184243192295, 925.18920920769688, 925.99834405267211, 926.49630015451316, 927.82563385143953, 928.1476462963135, 929.02159987460209, 929.63069710337618, 929.83967043814175, 932.13942180582046, 932.23201897110516, 933.87203600573287, 934.40734543588439, 935.10759367214393, 937.3737562982916, 938.2722675034953, 938.46603652239867, 938.82294283088152, 939.1859818218212, 940.25711652259884, 941.06729111797119, 941.40048550048414, 942.47268640470236, 944.3299871044843, 944.41912928148702, 945.5184122032166, 945.64752355704479, 947.66140964907913, 947.71026533650763, 947.9950951087269, 951.95651160943589, 952.4835244362813, 953.21519630340333, 953.99842770636383, 954.52240350950399, 955.49595735367768, 956.57850934247199, 958.05684398032781, 958.60430063507852, 960.10675215832782, 960.90655693932831, 962.71650801166584, 962.74980863697203, 964.71235410510371, 966.4895956251828, 966.59354683125264, 967.83332759073767, 972.37748199799853, 972.4779694123315, 973.44551140885312, 973.90501854329932, 974.36837355859768, 974.53424464564284, 976.3647515776205, 976.74059790751141, 977.55046033443591, 977.78648838834397, 978.42690123447346, 979.29133875316734, 979.38691571778327, 980.68912634690946, 982.20068077175188, 982.24310982007637, 982.67953213141732, 983.17005435176077, 983.92203069505831, 985.9488366453445, 988.38073183720553, 989.43691717917136, 989.92885668800704, 994.67311490225018, 994.94602603102089, 995.91641686417483, 996.07475199189093, 996.10272930989072, 996.14904404542233, 997.23603605229016, 997.66406408072805, 998.36409943808292, 998.43744164816542, 998.63516113875835, 999.75915300295185, 1001.3861183357106]),array([23.78711909962805, 24.409150960123711, 24.832768501425601, 25.64801235751785, 26.623980113738643, 27.065811646029942, 29.363876824955099, 30.467604455264063, 32.35524168639251, 34.870819395904455, 35.134098681148309, 37.455206282614533, 38.802077887338477, 38.872017776954813, 39.535133410571213, 41.93592336912031, 42.920436783655639, 44.437448243448408, 44.796750706232928, 45.192096909881258, 45.504011024974325, 46.083027092658234, 47.015494161023838, 50.606986916236956, 50.773380706840435, 51.839014444138016, 52.852445718451094, 53.822356356039869, 54.317094206852524, 54.349671298932144, 55.359828683564025, 55.526687204047938, 59.662044891019505, 60.232730706176596, 60.415345050325307, 62.035700409989204, 62.263026173479226, 62.43440540329442, 64.267258221614313, 64.547552288925175, 65.384213283873478, 65.440022987864523, 65.766116109290323, 67.127105768579909, 67.651001248881755, 68.936435342432489, 70.280117615655527, 74.139230729511709, 74.940100938120096, 75.385386621339819, 75.459383767300409, 76.204982425670238, 76.835710813804013, 77.651421277689494, 78.448182156032757, 78.996041959183302, 80.253936075981059, 81.928029367292879, 82.12391870921293, 82.558800766032576, 82.874260261287773, 83.918198881094128, 84.651814769937062, 86.679996258734789, 88.07130026867793, 89.308579033171029, 90.348326106226807, 92.150744628535961, 92.598949559130148, 92.88349078620584, 93.16985838965131, 94.956855159126732, 95.866502788770518, 98.078423723707587, 98.684727735312237, 99.018974760382577, 103.39817004473885, 103.69167275968333, 103.87878416637443, 107.11384311019485, 107.56323673571504, 108.49894418666679, 108.74909264793813, 114.03704690972006, 116.85370342562378, 116.90411114539157, 116.92982784920098, 118.2452374004404, 120.46063298638204, 121.72045317037058, 123.00404268067801, 123.21598654347852, 123.30055844780119, 123.40382105465777, 123.50197553203294, 123.72997060211533, 123.78421770201587, 124.61420046035612, 124.83222765524943, 125.2234498056078, 126.47781663448396, 127.54076232540636, 130.85701654193227, 130.88908632883459, 131.53558492697283, 131.61215656679016, 132.1021393694439, 132.64312418432453, 133.0221300279442, 134.43580549473864, 135.31113710752183, 136.25637749301015, 136.69802175132443, 136.83525455168825, 137.10483595387507, 139.82951586401131, 139.95120793992555, 140.46308211417525, 141.10016735306468, 141.98417844899643, 143.46485973936171, 144.59563327150246, 146.00327899038092, 146.15159433647003, 146.63292295866174, 147.01123172331441, 147.06940780290253, 147.36297999462127, 147.96414230047748, 148.38735296006456, 148.66365670140695, 148.98170253468194, 149.48417645525026, 151.06271512013495, 151.81735051744084, 152.71521397652998, 154.07575562096665, 155.52520437866642, 155.86679950968568, 156.62274137618084, 156.65111670756329, 156.6810711172507, 156.85353582039988, 158.63230337738017, 161.03449588844933, 162.03561542232256, 163.40543796749898, 163.74166616236951, 163.88250373901317, 164.16215607550788, 166.47321790588163, 167.31831170398965, 167.98637215056368, 168.47999764973491, 168.63018047040217, 169.29791752051798, 169.5665850531004, 170.99170367046861, 171.40855875136771, 172.14004669191786, 173.27034248225607, 173.74075000092967, 173.76499071128373, 175.17873116454163, 177.24108063516712, 177.65885935455381, 177.77604434721584, 179.0076652371153, 179.12347541019292, 180.24657594793044, 182.96174147604097, 186.72652151681928, 186.76336100425857, 187.23086978040476, 188.81670356201076, 189.16786477582696, 189.33979901575964, 190.74802737335054, 193.04646000816905, 193.32341804798611, 194.1529309216298, 194.87671761307712, 195.74083629791039, 195.9891496774936, 196.30420475481893, 197.33970154875306, 197.3780857498349, 198.4854032120468, 199.6885685567066, 201.85573007288033, 202.72520524863472, 202.74603548487434, 202.83374209011461, 202.89879853825531, 206.56727514507082, 207.09415265667729, 207.14909586037425, 210.17156928899357, 210.69770579266884, 212.60393104974943, 213.09920011477212, 213.31659458286794, 213.39580626597595, 214.21818583058521, 214.55207743767011, 215.22463267040357, 216.74757444487653, 217.15743668136071, 217.46468878995424, 217.84321803556364, 217.95687526147802, 218.31429964910726, 220.12498086997607, 221.04504583382572, 221.0654591627156, 221.93329311337939, 223.6968041758862, 223.92926253165163, 225.63279804213838, 230.23848326201937, 230.50268858218061, 230.54711232488029, 231.00014102311712, 231.04020293050132, 232.00174551776726, 232.25482284927844, 234.76058079031583, 234.99139479351683, 237.10593885613025, 237.53253010785406, 239.41891340603863, 240.49460643842588, 240.91039378545796, 244.06641254884792, 246.74744996630059, 248.07327223592637, 248.11171294669202, 248.88665799287404, 250.8385785467849, 253.06805941759899, 256.21791745870979, 256.68506263921205, 257.77172286318455, 258.11019281710719, 258.74263586499387, 260.34902799281326, 260.73559508177379, 261.32451244242276, 261.97784719714059, 262.77265729869202, 262.93345094482038, 265.47997766342763, 265.57435546856647, 265.84035337957044, 265.90671553276633, 265.9283942299557, 267.31343652897272, 268.41039564471299, 269.09256105109813, 269.38500195873343, 273.91181361688928, 274.1332998722803, 278.20491423245477, 280.39031467170133, 280.5548103497797, 281.64660449274743, 282.59651446929274, 283.2299525452546, 283.62446115308938, 284.1088717396259, 285.2131159885376, 288.02224572152568, 288.74760134859594, 289.1140078844125, 289.58645685404838, 289.77779104372422, 289.86511470862297, 290.31014215672303, 290.545745811269, 291.8434859368931, 293.45948082909314, 294.7107246490383, 296.90318064062365, 297.36860212361933, 300.56429487554556, 301.084907132046, 301.83855439790597, 302.85429997375593, 302.96231967449779, 305.75279886824268, 305.98578395751588, 307.39644077426374, 308.38814961028407, 308.44494260373148, 309.24604226279149, 309.79165799960157, 310.40302576026642, 311.05865831386404, 312.23920240317796, 313.26969748930333, 313.48063218499391, 314.35713877981499, 315.25882046708642, 316.12666996648187, 316.35736131272444, 317.21926056827556, 318.41939781236454, 318.4941925340637, 318.78502903975993, 320.93877558348004, 322.07708326411108, 322.30134793129378, 322.37849974493406, 323.02533233360987, 323.47861610465998, 323.82666646440708, 324.17223682520745, 324.30123242196828, 324.54972231106206, 328.19371853520528, 329.08645088716179, 329.15301261727285, 329.30343479921976, 329.34907566700963, 332.17460699717515, 333.67115681074597, 335.93281489750291, 336.05158207987324, 337.11618616752338, 338.4148502357599, 340.39574905510307, 340.5314717267716, 340.91099786808883, 341.32696342499054, 342.41744801575504, 342.9536909073521, 343.54697363183715, 343.9546358301522, 344.97834034371994, 345.90908940599115, 346.67954396186883, 347.40920391066817, 348.24885480884507, 348.78757443729188, 349.93785286730383, 350.07397512327589, 350.7368757621818, 351.63228046567338, 351.68707094084965, 352.27310677585024, 353.53399051193986, 354.05332097231127, 354.64757744226449, 355.77397525360834, 357.06505521861817, 357.29384607972258, 357.58819101060351, 358.84736867547116, 360.21210196012657, 361.31579866120273, 361.43614320673737, 363.5774112486464, 366.56249954823431, 368.96045003719576, 370.72963290595914, 370.91557697040599, 370.98969232712193, 371.08456770962874, 371.36803885600102, 372.70573866360428, 372.9385977581648, 374.3498220228276, 376.5681899555633, 377.20874109727134, 379.12830985252356, 381.13487995102929, 381.22177349023002, 381.37079292452387, 382.14306028000323, 382.65503066857315, 382.83575892962602, 382.94385779571178, 384.47985572524254, 384.54414045476051, 384.56621766949439, 384.63406353442059, 386.99381576403226, 388.98299208866359, 391.34509281261143, 391.39499980351013, 391.97555855135101, 392.86975850664356, 394.0566690913073, 394.82168911931564, 396.35508957931557, 396.63355372660021, 396.70922746543897, 397.84235304274938, 398.63455943121676, 399.55426606930348, 399.73794489254891, 401.50055156084363, 403.15165259417967, 403.44346237331342, 404.42054010563874, 405.10262422503365, 407.00449407358036, 408.18000167999918, 408.31539774620239, 408.68611338972636, 408.73111240058216, 409.39907806247157, 409.47256733111141, 409.82412083756714, 410.46176631223045, 410.83005655713634, 411.92005167118964, 412.38776382102685, 412.87447459324528, 413.33740232678468, 413.48547444622335, 413.69864727585275, 414.16970818473857, 414.47781195469685, 415.22571400904172, 415.53605511414844, 419.46341309172499, 420.97019291857652, 423.36721826516248, 423.60627172610509, 425.81100703046849, 430.54552645650392, 431.34377736939842, 431.97885164064678, 432.70270256145096, 434.22281470063092, 434.24927160010793, 434.4255054272528, 437.33169776809689, 437.69243997246878, 438.36789384107317, 438.43045106141659, 439.93007033376119, 440.45875592253157, 442.23417140510759, 443.13417270864022, 443.45351065782063, 445.86968634038294, 445.96390268086628, 446.25038793249536, 448.60757676900505, 448.77771424956717, 449.44593681155061, 449.78200335414942, 450.47581679476787, 450.57499052616703, 452.63483519837547, 455.88876537031672, 456.16822184860888, 457.863449747684, 458.25835792129863, 458.44105665876123, 459.62404970034669, 460.72557711586921, 463.67806788489565, 472.00041622525407, 472.58039409595557, 474.3405452550179, 475.5211883043861, 476.66012688539018, 477.68522776903808, 478.19832194602128, 479.30176754279466, 482.33499411692952, 482.50404053657098, 482.83906433476312, 484.01369159016724, 484.90021610927175, 485.23667863880286, 486.5453930231912, 486.75188467541227, 487.0850027737352, 487.18120765508189, 490.57905553483215, 491.76940009688809, 493.11495238655164, 493.41957406009647, 494.57344741925982, 495.06501961309755, 496.36342711407718, 496.96975157639503, 497.40267699831077, 498.25577736247402, 502.10647332357706, 502.50791740296046, 503.8272636560518, 503.84745922595266, 504.31596465152251, 504.62480728706657, 506.80237768400684, 508.51872334495761, 508.55969106011804, 509.6475908450808, 511.90688327556541, 513.0702574150971, 513.4829106663509, 516.27164299649007, 516.63519694626063, 517.09622607430811, 517.83606826825496, 518.47480871321534, 519.85292346936194, 520.19034279084042, 521.41609451008458, 522.1590199154482, 522.66702962110048, 523.70271744508193, 524.43009230939799, 528.09717404183596, 528.47373205070437, 529.61110188682778, 529.75710610989768, 530.57968569055652, 530.95470426330041, 531.06659818849823, 531.132191900777, 531.16185526318861, 531.3994600259573, 532.5970612840905, 533.064846768998, 533.63741106914972, 534.56764059586794, 536.79890209221094, 537.47205019911848, 537.95159995052109, 537.97838705162155, 541.40550766662227, 543.17117611489437, 545.17223448175343, 545.90298147581723, 546.51147294786244, 549.20438424812608, 552.06497470175191, 554.90727825946146, 555.87825592792331, 562.12560171890482, 562.61373668241845, 563.34995405505674, 563.78616734580123, 566.62822663406121, 568.18742892033526, 568.25343778373303, 569.42848957075364, 570.23227993787998, 570.79192125546069, 574.2378212319843, 576.26317982329556, 577.10450293948145, 578.51419662672333, 578.69998755439849, 580.71464971558146, 581.62499922097334, 582.67411725023362, 583.28055364483362, 583.40467335796609, 583.73605252492109, 585.06971272008468, 585.63693114869159, 585.83286192801063, 586.9324922416406, 586.97073753488155, 588.42605162912741, 589.16650496393675, 589.69458756900917, 590.74773774730102, 590.91554126651511, 594.00444934770462, 594.14542180366254, 594.33445447542874, 595.64696600124296, 598.62211062583958, 599.92142148214759, 600.74373240079592, 601.515845484181, 602.11951867676805, 602.3196274429406, 603.17762258934397, 603.46664608127469, 604.52743371153031, 605.2195703445127, 605.41254066285887, 605.45215712027777, 605.93918211535515, 608.52169124427007, 611.61143986977561, 612.41850810105029, 613.30477277869943, 615.77116258946342, 617.02689233424087, 618.37412813327285, 618.97521276370355, 619.50321826033405, 620.07014253616819, 622.86136590863089, 623.01208077260344, 623.5179520621233, 623.65867679021812, 624.46367131051818, 625.36520939557681, 625.41056773511809, 625.64182809132933, 626.19999687948427, 626.31380299371506, 626.88633956849026, 627.2309119743162, 628.2786322810889, 631.21791052363869, 631.58250613113751, 633.34366782194161, 638.35887169119189, 639.19901031580969, 641.56367366869017, 641.83082921434504, 641.92970439422584, 642.1548852659331, 644.49241307091825, 646.26192431549407, 647.13366490895726, 647.71043816431927, 648.72400043806181, 649.39230519188527, 650.38196650476073, 651.1477351690105, 651.97744470006296, 652.94983032008895, 653.60702116718255, 653.74339351521996, 656.22121644394599, 656.46076092609769, 657.62255636400516, 658.8988795856601, 660.4368839304866, 660.45879185449019, 660.95264370484585, 661.53022255826386, 662.39631582782522, 663.51717101204883, 663.62875163092883, 666.47005367429097, 668.46186722853327, 671.52596133148541, 676.05330553270596, 676.20859139684308, 676.70264735725539, 678.13990042921796, 678.29651621344988, 680.26813750033409, 680.58799685775216, 680.67326543723175, 681.01560606947044, 682.83309280226501, 683.41310197295627, 684.46461337049038, 685.16428463131717, 685.71388077462336, 685.81231119446636, 688.11412490016721, 688.42257511186972, 689.06162175437089, 689.71597458312817, 692.55864100475571, 692.74033918687849, 692.81561202412422, 692.84647115667633, 694.07984591579464, 695.76267047454633, 698.18313656485975, 699.64188042329363, 702.41292206974185, 702.78646922121141, 703.14502480908084, 703.20544056095616, 705.02961287143637, 705.22656607685667, 706.4578241068532, 706.94063462076451, 707.40462365242297, 708.13947746924237, 708.77806834245314, 708.93806605596433, 710.42475387240972, 710.48946495645669, 711.06054081592367, 711.41021965419725, 711.44736061146364, 713.10600263132528, 713.96382459703796, 717.50670856980355, 718.5752389669193, 724.48660185973733, 725.81790434209324, 726.2636807884287, 726.57896843440892, 727.19978026047409, 727.80396455429229, 728.48478961163244, 728.77362880310989, 729.25093821559483, 730.93097257549675, 730.95278826813865, 731.09637585224596, 731.422742056929, 731.68796426669201, 733.61726070233306, 733.91381873249736, 734.60250531301051, 735.17591705212396, 736.45079085844066, 736.81359599487485, 736.97239401933518, 741.43456837221777, 741.57710944156838, 743.22678484519417, 744.20152376412432, 744.64075130911715, 745.81082470741876, 747.88021338518422, 748.14015244880216, 748.4694273901822, 748.64719969011651, 748.82492367862403, 749.91303256407252, 750.12538423646208, 750.18615165109998, 750.53701405586639, 752.36453405456291, 752.95159456356407, 755.1696820260396, 755.25331422208683, 755.63978818298528, 755.7187681228254, 756.12492170165149, 757.72669791740122, 758.55320109234538, 759.30388292276268, 759.93975972775797, 762.06349397117856, 763.87166642196394, 764.34473003423943, 764.5037252633158, 769.06338644681773, 770.78792536230276, 771.20086151482553, 771.60682156445762, 771.74462924846648, 773.0329165394844, 774.55168677313532, 774.58810951658688, 775.20760660655844, 775.26252252037409, 775.7269576924507, 778.23089673812501, 779.35723185653512, 781.20112406145074, 782.33123874834166, 782.37622027265036, 782.55782161734226, 783.57982404401776, 784.10040413797856, 786.96818971719313, 787.78280737638966, 788.72050437188648, 791.58253864069206, 794.3610992805136, 797.84728831900532, 798.12316642212761, 799.44666245346639, 799.87877103418521, 800.83553861570465, 801.51433082414644, 801.68912648829894, 801.89393834494854, 804.02980458750301, 805.51026815044304, 807.18686993188521, 808.08054221426232, 809.38537812169773, 812.27379005336627, 813.99791552604597, 814.63184922070707, 814.80151940194003, 815.45587885559826, 815.9585285848965, 817.16178675606977, 817.2687615775468, 818.9937929821466, 819.84735487334194, 820.91337409083201, 821.22901355931583, 821.89670709808377, 822.57217714779995, 823.54376094858276, 825.8093032157019, 827.91747084203701, 828.89595213289135, 829.89254585199274, 831.50380294820638, 832.39953877998573, 834.12380651100466, 835.76182575962127, 836.15119570690626, 837.39436954275459, 838.19410314177526, 838.73658158181991, 840.84584688977088, 841.01988618437736, 842.05270549951365, 842.45239594087082, 842.75290829920732, 844.04357777376288, 845.82766372377921, 846.20644195255215, 846.61284462011349, 846.75048526432295, 846.98444516066581, 847.35765813939054, 848.93141223491966, 849.12152220618634, 849.34264439717879, 850.94884966852351, 851.02442511905872, 851.2800388562116, 852.68888006019063, 854.14544548053561, 854.30210053452038, 854.52966382121963, 860.21842627855858, 860.65996648453881, 863.05646230269599, 863.3553094852366, 863.64781280404372, 864.51941835228968, 864.76162881309381, 866.6388009128691, 867.66207025875042, 869.16848579148643, 869.57056678139475, 869.83060068380257, 871.70250961974091, 872.57786014803526, 872.6732420813679, 873.23174407176566, 874.39441525370705, 875.45295618346302, 875.48570767590388, 876.36848808643538, 877.45751526294725, 878.38920551665933, 878.81664506064794, 882.47971811502646, 883.49354488073186, 886.87373968326915, 887.03135923985656, 887.14337479222127, 887.18399833993624, 887.8720496521297, 888.54454216011663, 889.1461319226454, 891.00186995297383, 891.16860049703303, 891.34820761055812, 893.07923016920404, 893.24902319204193, 893.50079980956036, 894.24475801989047, 895.45697979624572, 895.60242903343044, 896.3442038422844, 898.03825656066044, 898.71085778376812, 899.36251672982849, 901.16250373137257, 901.564930173731, 901.74829283132669, 904.85930632984173, 905.51490204366416, 906.69660702574799, 907.19785120549489, 907.4698297819765, 908.33156775700581, 909.08024614582962, 910.94996347500739, 915.02194387658813, 915.72513283040269, 915.96580193703005, 916.17550626169464, 917.65303709644525, 918.03559773449751, 919.54982376773251, 919.7957226881548, 919.84965909269511, 922.52076957752683, 922.78735397430262, 923.53623253854573, 925.33128351639527, 925.58591837712038, 925.8480546545494, 926.50760130939989, 928.74838775623516, 930.47770217728987, 930.92828647168858, 931.81068742423042, 932.6182450143051, 936.56748931819948, 939.01806308208154, 940.4833889327756, 940.52093610313716, 940.65404111030989, 941.00387901231363, 941.73445723678162, 943.04427323509572, 944.30463380584888, 945.06016943022007, 945.634098177282, 947.54604236333262, 947.5806730411083, 948.22746187205826, 949.81947821014103, 950.20602422499076, 950.74503791843597, 951.0393608141261, 951.27757485364896, 953.05369331989141, 953.96232079206516, 954.56609309487158, 956.08282646501834, 956.87924173919305, 957.85879531949479, 958.25370730548389, 958.6360373906831, 960.16733421342462, 960.58258797946667, 961.17150857450906, 961.40719341650345, 963.78279282053893, 964.71786073554733, 965.16062702952934, 965.62652784390616, 967.5853635904167, 969.52522698879739, 970.38060725286221, 971.47839495539097, 971.63722766182411, 973.88995740666849, 974.52132877160523, 974.80585574963811, 975.06971776948524, 978.55320837766021, 978.88751414344028, 980.25297115693343, 980.65699090603948, 980.79726132120857, 982.61333035621567, 982.83601819900957, 983.41039606533286, 983.46434078458606, 987.53875353603303, 988.47657219582049, 988.94586595434203, 989.43318999292933, 990.41247693135472, 994.04578535159033, 994.26655108789498, 995.30242873467364, 996.66100329511778, 998.27951205683883, 998.44836509527545, 1002.4339316299244]),array([54.624054873257855, 59.625742563185717, 59.980459880306718, 61.891310822511656, 64.890995894560533, 64.921988717838474, 66.740830546437167, 67.118390932783683, 67.290750104973242, 67.341015501269197, 67.892670738086736, 71.302549441741689, 74.467891870054132, 74.618937624376372, 75.933506058437629, 77.726080798514062, 78.422444377031226, 81.788046301003959, 82.761305540433938, 83.629818587977439, 83.761618147771941, 85.279346346467932, 86.27456572840606, 86.846088321069175, 87.163829747046435, 87.209318657623939, 87.386952446293961, 87.492503898415222, 88.048712055775354, 89.834201992998473, 90.021024788644709, 90.72295918020265, 91.630044175369292, 93.134287956296049, 93.728761926894791, 95.744880858138927, 97.631815729611972, 98.131960916519802, 99.612834142871222, 99.815130664948356, 101.27295639586212, 101.55611010933754, 101.63700773233445, 102.18697234627521, 103.08915485157921, 103.93749250324916, 104.41648521672519, 106.6344298088889, 107.97971836099592, 109.43575322033907, 110.1997317586069, 111.46039587500233, 111.76485150892825, 112.78383955748197, 112.88142488514839, 114.00870240158463, 115.13035266297267, 118.81701398277278, 119.16887205281874, 119.44326575222763, 120.54219338319098, 120.94921275714495, 121.825957169343, 121.93931003386994, 122.33888488516676, 123.81345661944799, 124.51617112904685, 128.18549684232758, 129.63033476249242, 129.77489312077185, 130.12662380893204, 131.23496939267551, 131.59186289756809, 131.8309979131391, 136.42985004566157, 136.91199059265944, 137.27549073371449, 138.04443067589114, 138.07434067927616, 138.2195492172516, 139.63609210117494, 144.40205548547172, 145.1920450725155, 145.26837204215877, 145.35744504123249, 146.20796351298202, 149.28742316349653, 151.33951797160481, 152.37874960649404, 153.63817962475687, 154.37264369020821, 155.60825439488565, 157.11758125417697, 159.75288701456304, 160.3680970926537, 160.98774760565459, 161.26408435929937, 161.39840033354272, 163.75987013925658, 165.82201710322661, 166.31282423429707, 166.53647924798639, 166.64103641874269, 166.70108090810618, 167.77051041363049, 170.90367673493986, 171.09623373010018, 171.65649037805196, 172.33672250596675, 172.62453957367296, 173.17892488668335, 173.98202133644395, 174.0530813276803, 175.44781730089574, 177.45011711017784, 178.11367229539945, 178.3081406158515, 179.41824380785221, 179.78239484742971, 181.23035568447938, 181.2730160317042, 182.54274023791987, 182.83082019523158, 183.46562566361163, 183.75797695001683, 186.72267043330902, 186.9249999104434, 186.99501052996615, 187.04974488357428, 188.92139883109621, 190.48676665338024, 192.62934731280708, 192.82694107289802, 192.98002771496783, 194.38682059859158, 195.77704984506698, 197.36462359844504, 198.37973219854194, 199.77178638875833, 200.57895891941067, 201.71975864904044, 202.38685795160913, 202.5426564937963, 203.85761656093607, 204.21170379889392, 207.6961657128418, 208.98593540522344, 211.15106872971506, 212.41771585691561, 213.18036074806139, 213.43348978803778, 213.46850634660132, 215.04354072156306, 215.66180458669925, 219.45486655033096, 223.00304409225151, 225.08569674904589, 228.4223743904794, 229.16580583722492, 229.42483283383135, 230.36879188936837, 230.80337149393722, 230.82715552091614, 231.15932828135988, 233.25097475553528, 234.41214259124635, 234.71358145194088, 235.59179663379524, 236.56788473595677, 237.94042791584295, 238.00782627761944, 239.26388753596351, 240.22126116501545, 241.47588670234714, 243.42950074289314, 243.52263665898252, 244.67757667268012, 244.84585195827967, 245.55140619430918, 246.08437209829637, 247.73402132768416, 248.99059061016095, 249.75773050193038, 250.64584723602033, 251.16365863381779, 251.62469302701291, 251.67587004174237, 252.02198004508043, 253.57016156485238, 254.22437234423771, 256.07554514058978, 256.78261366179714, 257.31225297540306, 258.99179570474593, 259.18896348815508, 259.96584564702579, 260.36027525316354, 262.11575380175054, 262.14022281687267, 262.65417177615018, 264.53466814921006, 264.66162919037208, 265.74356983732878, 267.83229218129935, 267.91814094404305, 268.7997762798102, 269.10730141198206, 269.28012411026623, 270.20020588213617, 270.2310639855508, 273.24817238872032, 274.14862024435513, 274.72139907577053, 275.29835643593856, 275.32635093073469, 275.45331046192661, 277.94980228026998, 278.74662715426615, 280.92459091144264, 282.13896396818745, 283.70431389160376, 285.52510264264055, 286.80242548816813, 286.95563868779647, 289.44665336335026, 290.00224253163532, 291.03094539475399, 291.17300502107298, 291.7054307279418, 292.45647028081999, 293.332024741547, 295.96815523301166, 296.89269898063952, 297.52544016693832, 298.16714702020698, 298.54919429125971, 299.12065591029909, 299.50837278297797, 302.71215801186531, 304.02326642327404, 304.44401575331551, 306.22584057181041, 306.25113560600983, 307.43949956376798, 308.69066588140157, 308.92840371105359, 309.28160098030492, 309.54152344399176, 311.65101396473909, 312.13806507220397, 312.26357136163358, 313.77265071549743, 314.54465884876055, 314.63759384335947, 314.67039756385532, 314.79366417349928, 315.69362053781424, 316.71261110096651, 317.21464035043482, 317.49558861597546, 318.03367806251555, 318.92454698141933, 319.23733707079384, 320.3986189674888, 322.38256196801814, 322.83313577449695, 323.2104429218391, 324.61799254887057, 325.949845113896, 326.14009076889096, 326.86939500200441, 326.90863705180317, 326.95356269337577, 327.02782305511602, 327.24020591006916, 327.56658325079093, 330.34226110985355, 333.17505686554586, 335.11524826284881, 336.47302196837569, 338.69844035183314, 338.96384295089456, 339.83356385443199, 340.66348963554384, 340.97422777371679, 341.09864437680159, 341.33109191833017, 341.4949895972585, 341.92987871213529, 342.58227519013673, 342.61381687926774, 342.99425596427324, 352.16327126920669, 352.84126679588343, 353.71303816165363, 353.83863144197812, 354.11770687618525, 354.58835953756477, 355.24095118680657, 356.19325716990647, 357.02969026669052, 358.09917568168549, 358.16913968125772, 362.08972358516178, 363.88195974898809, 365.20443187609936, 365.48603955731534, 367.11942133218366, 367.87727634379115, 368.39013882510375, 369.06952743510669, 370.29330631986386, 370.37279169120922, 370.87707145752927, 371.3392652946788, 372.68251504922, 372.88932488830369, 374.23471754111125, 374.42289419521052, 375.6552511964432, 377.3630708713286, 382.10335881110626, 383.53886497092645, 385.14149633919396, 387.41078164572565, 388.07008554987635, 389.49872366302236, 390.7952030352032, 391.13608341492744, 391.29696541537777, 392.54505681175226, 392.59843963135626, 392.86435163708404, 394.24912409099426, 394.97356300985979, 395.50465548990195, 396.07775417280675, 396.44233571526405, 397.68649197258571, 398.24182652766751, 398.43442615326268, 399.30132114625525, 400.07735336012229, 400.9458335074869, 401.55466358822247, 401.99615154966091, 402.40710556019587, 403.37365251274639, 404.27928811817799, 406.5534734327631, 407.30785031639607, 407.80053003229574, 408.2587766096284, 408.69264764216518, 409.0366910971091, 409.97991809133021, 410.35262672452393, 410.60902646162077, 411.30319856804647, 411.48646225013175, 411.94087317757527, 411.98771814627497, 413.06692898257876, 413.80757026443513, 413.8759513879412, 414.94632077516764, 421.71860219869137, 422.71118823549477, 422.83865573281952, 423.5664244232525, 423.79175538652902, 426.81852750499218, 427.0006532540653, 427.19451643015788, 427.37039930530807, 429.20278836985204, 429.71973013433484, 430.38068785948911, 431.41251998101097, 433.33314197805799, 433.38579527875277, 433.68599115119247, 434.85780590144742, 436.29570532677246, 436.59622867892239, 437.43625361050118, 437.97404224868353, 439.36257606902001, 439.50495934028328, 439.60901767229251, 440.3401579219327, 440.49104541646903, 440.5405636208784, 440.91820062197667, 442.2176932807227, 443.65087756762989, 445.27908937629667, 446.69846137687847, 448.99018337007089, 450.5877552281865, 451.96710045504472, 454.2003022389157, 454.33107900003495, 457.269988365735, 458.69294274660683, 459.85760106149729, 463.46013061999133, 465.20649668993696, 465.50203369777597, 468.52879122743843, 468.88933567974078, 470.82253424218521, 471.72106200988992, 473.27586525670978, 474.65859825734066, 475.0050160143262, 475.84376550429516, 477.48641765466147, 478.50796179123142, 480.08961912545089, 480.38957662235231, 480.99982354708857, 481.87384636820258, 484.5547636392867, 484.66669201343046, 485.45700014659707, 487.93835968482171, 488.23072557355334, 488.98669873729057, 490.34460443257984, 490.46185254475176, 492.08530076488768, 492.11006601940915, 496.76961204671164, 502.8613546442175, 503.35536217300972, 503.8226184322171, 503.88813269726393, 506.7525332734736, 506.98888151396164, 507.08348402562456, 507.14718431962149, 507.71953591252304, 507.83525883420941, 508.6722741014533, 511.62632180736347, 514.95670957433003, 515.19649472231686, 516.0030336826652, 516.23339669454219, 516.85294159890702, 520.0542682739482, 521.23124789399105, 521.56153952156149, 522.56993220159302, 522.82051186873798, 523.12724280278348, 524.16517415396697, 526.64621136209234, 526.84266064411213, 527.34710144044016, 528.78655766597922, 529.22799907377942, 531.55873972321388, 533.43582543013849, 535.37475528166431, 535.59941228774267, 537.04252903716304, 538.60322518607018, 538.98272788576992, 539.64689233768308, 539.85754712863081, 541.69810618174301, 542.43175753039338, 543.09591709060737, 543.97197442408071, 544.54646026576836, 549.73187767256957, 550.08455878982716, 553.24436882446923, 555.67460014363837, 556.295680649004, 557.37267072873522, 558.03174338804229, 558.28392985109053, 559.37307778213233, 559.60205378679007, 560.14192910886425, 560.61145811678614, 561.1219012944083, 561.85349927713207, 561.95703260026642, 563.93866311535498, 564.8460907769487, 565.37406749294576, 566.41827889999149, 567.00546462567183, 569.67608245598478, 571.24960667178061, 574.41712685137588, 574.98640588756621, 575.95791449839555, 576.55160304092624, 578.40757761577652, 578.69302867908073, 581.1385701967838, 581.7119393130929, 582.95995792809663, 583.15183227264265, 584.00898513569439, 585.87302258518389, 587.22580208084287, 588.45678608258152, 589.31673705127037, 589.91819292141099, 593.62533450825106, 594.18710003873514, 595.35946257118735, 595.46153425744842, 596.57650309044845, 596.92203114708877, 597.45097321225398, 597.96557568673052, 600.39659231601399, 602.02814106693779, 602.59709526570145, 602.70494560835573, 605.79176228577069, 606.95818188096291, 608.78608864143803, 609.12672135744015, 609.22365581209795, 609.60207012482363, 609.72624839422974, 610.29730849078203, 611.06053953077173, 612.05747413613517, 612.64063335774256, 615.69889047525032, 616.89987853347895, 618.46695438843619, 620.82625741036793, 621.0971620556835, 621.13403734796771, 624.43686605634161, 627.80394676332389, 628.46331851979039, 629.78540418984471, 630.13705581706529, 630.84338258343644, 631.47411638212463, 632.47355565212331, 632.56043656440772, 633.93955648449173, 635.01146583087768, 637.51135186663805, 638.69628896302697, 638.92075551446453, 640.19860447140309, 640.66519574116012, 642.91980430828107, 643.33975005789944, 644.69246965706407, 645.73059984704275, 646.14263135423835, 646.39125553305303, 647.12509010249482, 647.45131762462324, 649.34418214021116, 652.25068341886117, 653.4238121728738, 659.15026741994529, 659.64654931239772, 660.84556522623086, 661.07988683424344, 661.2142331195779, 661.30460118008523, 661.90096925590387, 664.2842810497184, 664.50076056199384, 665.1662725199086, 666.52942676655107, 667.83145049234543, 668.58124698150755, 668.70956511867121, 669.23463396675243, 669.28465023397018, 669.66312216714755, 669.76606688861307, 670.66810733212105, 673.00970263090937, 673.34260408580951, 673.78323603050603, 675.91852216104849, 678.5365921102067, 681.96297419840141, 682.10930966048454, 683.35647605443012, 684.18485357778309, 684.78354635423545, 686.01207627404267, 686.2375242786502, 687.64768873701428, 688.87906731914813, 689.69266039311537, 690.02235976022018, 690.26792022962115, 692.51288515659905, 694.31435171993064, 695.54524833840787, 696.37175099866283, 697.5256696961244, 698.24223554636751, 699.71962711379786, 700.18466220998732, 702.83885958253927, 703.94381917328337, 705.57734728152707, 708.58883047321069, 710.46748201665628, 711.87947152309903, 712.28887606742717, 712.37789843264534, 714.60097440530137, 718.38464024885525, 719.03090333737009, 721.54257354330514, 724.33581561038102, 726.29075313024475, 726.48237067533205, 727.4767640524185, 728.21009839974067, 728.80597259464287, 731.0093593804653, 731.88059456691963, 734.54570528559964, 734.59431052825028, 734.87641253656466, 734.91180946666111, 735.7654846367152, 736.11454394394696, 737.14021760071648, 739.24658896264543, 741.00157875246327, 741.25956428042412, 741.31818059332011, 741.36271955241671, 741.58019707315896, 744.81197654089192, 748.35820290363927, 754.73704407199841, 755.02262914028154, 755.69619076437561, 756.2865985205284, 759.3234622164133, 759.60219610055753, 759.95546430160039, 761.64306295813935, 761.83977188362644, 762.87219270966284, 763.70813012518306, 766.2723796322573, 766.61764374761185, 767.13825761589794, 767.70591732697619, 767.96266298681496, 769.00042454097525, 770.49848007230969, 770.86960845998692, 771.87745998385105, 771.98470819706563, 772.27723792712675, 773.76741414992523, 773.89825096971947, 775.88480676273082, 777.35810693692451, 777.53508464634058, 777.96418391743646, 780.26093130963795, 780.75065393753459, 784.50440536411952, 784.82030085611279, 786.10106685102005, 786.38054411068379, 787.28091678439864, 787.43603082611673, 788.12757963903107, 788.50936043837373, 789.56328139448249, 791.34470682303061, 792.19152635106639, 792.21169418746297, 792.28960471045457, 792.32103402028008, 792.98359171401455, 798.09026911571198, 800.29341383288647, 801.83018370209027, 802.34324077748897, 803.95180164648741, 804.009494287503, 806.67452135377403, 812.65693511957477, 814.54228161781089, 814.89011990425388, 816.76308399270511, 817.05788543345807, 818.20862466738004, 818.48675730197601, 819.34068332595359, 820.52810750349693, 821.43772403096273, 822.18046009941975, 822.72583302384953, 822.77816771443429, 823.68968898039566, 824.64289515920643, 827.00523761245393, 827.60048912470597, 827.73818794761758, 828.98829931808496, 830.07969557765716, 830.18946349583121, 830.41016256257444, 830.58502023510869, 831.17118887563925, 832.16662122523837, 832.60485526650098, 833.62192811041689, 834.53742654437383, 835.40959560432975, 835.68081038426124, 838.3025702454612, 838.68609290203085, 838.87509896626023, 839.1188139065016, 840.04895803684474, 842.03703092059413, 842.20408426659515, 842.71264019906857, 844.5908712248405, 844.71288819306903, 845.0727379789513, 848.31152531714622, 848.86225685879435, 848.90331228646687, 850.76660587350534, 851.10438584799829, 851.73536529757223, 852.51472408210714, 853.10990899079854, 853.2524245260521, 854.49362813159962, 854.91056331253094, 856.78534911461304, 858.01437322138281, 861.11345521984708, 862.95236427508155, 863.56756960853875, 863.68642557781448, 864.8972805714227, 865.59668566430207, 866.81014595097497, 866.91704456218031, 867.58064639089753, 868.1570046990015, 869.31665363958189, 870.10330569741132, 872.80748903188066, 873.88635537845767, 874.07430164332538, 876.12440401449123, 878.44141537880296, 880.62480872350272, 881.40120703058562, 883.35965580537788, 883.56116368136315, 884.46341669826029, 885.05173541034037, 887.45468359767199, 887.59033100788804, 888.89917832093693, 889.46774511202057, 892.99306598234205, 893.122415547537, 893.41630330002545, 893.83060666072311, 895.20610812496329, 895.31398434799837, 895.91062915859004, 897.2572758673964, 897.34276053362623, 897.60176529104535, 897.89657412893757, 899.695780981947, 900.27260678973551, 902.98944078823649, 907.32128317126831, 909.82269967487832, 910.76728527599289, 910.99037402696945, 912.64129307031362, 913.04493960162642, 914.07253253292981, 915.03733356358441, 915.2776066681073, 915.62446248453841, 916.50591329129736, 917.39579114416858, 918.91105036256249, 919.03076489248599, 919.67687303268724, 920.90784561463249, 923.78015108080035, 923.95831692334991, 924.10398409451443, 926.23083768653328, 926.93093105798994, 927.46413198486414, 927.80856910478462, 929.04472359799581, 929.78417988568697, 930.17906084820959, 930.96556128809982, 931.12280461561409, 931.27191627259913, 931.93585579861849, 933.21271347302445, 934.5500099027995, 935.41654737351428, 935.87208700011604, 938.38919695716868, 939.07148248473743, 939.28095962197426, 939.52442444340556, 939.60507321104296, 939.8376852749816, 942.44009777355302, 942.56721065821534, 942.6293054235465, 942.86258032012279, 943.93635248715725, 944.15917776833533, 944.22819484854404, 946.60154918566741, 947.02831497151794, 950.31770779781618, 950.65481577775222, 951.11869184355919, 952.70089557849758, 954.37886604793664, 954.79676894385057, 954.85777867233639, 955.99471947722918, 956.5078022329991, 957.08041710181976, 959.06512936904039, 959.53291566733594, 960.71932523031546, 961.50568293148785, 961.75445049598954, 961.82503667169385, 962.79090904459792, 963.47674074627332, 964.27124198309468, 964.63478547908062, 965.73000979134599, 968.52537274591839, 968.68872374506361, 969.42418920282296, 970.91126901336656, 971.62524237860816, 973.79941984441848, 973.87552344304231, 974.10090657692854, 975.22985515841469, 976.68594383461937, 977.77819561015451, 978.06206170815221, 978.36249045797183, 978.75080814850389, 978.93407524409804, 980.35082402707781, 982.85526241753553, 983.01484199166373, 983.50109267346784, 983.7318746756024, 983.84972274268068, 984.44392824491467, 985.06771534165682, 985.52912492933706, 985.91670533988724, 990.63027504814875, 992.40723629438446, 992.61614049775869, 993.47598987606591, 996.69625855655624, 997.18035630287477, 997.58675171281868, 997.68310789498889, 998.22802614797808, 998.6558857467594, 998.75874648646754, 998.93456099815376, 998.95693245157975, 999.89425955847526, 1000.6760806520338]),array([11.753443912133999, 13.518007928819078, 15.690881301687325, 17.56783402798894, 19.128115878976221, 19.872013780192521, 21.087603998894124, 21.438370720398083, 24.471697149815917, 25.296754641929347, 27.818057607602942, 27.97378137211086, 28.059368347654726, 29.384885417676948, 29.51821509783176, 29.808253493550435, 30.042816356052263, 31.447756021593307, 31.502743601121857, 31.784227825891911, 34.198266118642209, 34.822126383957006, 35.255799818682597, 35.827359922783941, 36.626166677079866, 38.257761795250104, 38.798362554096883, 41.940494513107943, 42.595780967656722, 43.262922151830885, 44.172764329330178, 44.710878223364602, 45.585825506824861, 46.520162385509416, 47.222095103474174, 47.687482239978721, 48.915873411392276, 50.183002691773915, 50.774010520528414, 50.921815268364277, 51.880954248797018, 51.995497117454256, 56.616898301456885, 58.259757733792519, 58.59611289182272, 59.655069188378114, 59.740377785239424, 62.788924745366387, 62.874815538955033, 62.925022644848461, 64.744991354992649, 64.816872231822046, 64.899208254752836, 65.689335562699, 67.300028737675476, 68.853707256621192, 70.973534722184922, 73.553331667605448, 74.68534294219036, 75.286267777169471, 75.896753330834471, 76.762040485892882, 77.994905504801167, 78.222376115902534, 81.657552135843915, 81.763040447935012, 83.851461240901727, 85.67851172056956, 85.773255638062281, 87.605588039084608, 88.274749512520884, 89.788896000030235, 91.771084730732483, 91.936230994706634, 92.749255496445812, 93.263195512277179, 93.9141436311901, 94.475275518435694, 94.978280914239903, 96.643532316187233, 97.044615533233326, 97.382104782246813, 97.527405030210218, 98.216028212959358, 98.532976413441972, 99.195289543656486, 99.900776056400147, 100.82767530821793, 101.46312213790307, 105.93941222749794, 105.9868584437298, 107.65857378748505, 107.79372255426087, 110.13404446125598, 112.68495573816936, 112.94784382737336, 115.12021706925483, 116.65932321731619, 117.27722200418619, 117.36952987431542, 117.80222474099003, 117.84964572178302, 117.91354543649486, 118.96808352524518, 120.61263151781345, 120.75312041661066, 122.84223752471671, 123.27966554677165, 124.03317364082739, 124.08953814949257, 124.31050464386981, 126.59926727619036, 127.04367811044575, 128.85007146883109, 129.07867263996172, 129.25841499057861, 130.83744216640235, 130.86405324101909, 134.65559920957128, 135.29050241235618, 135.76961693147456, 136.38691962673761, 136.47866510009368, 137.27745156286201, 138.12999251091253, 138.27818767627102, 138.5529995672114, 140.5966644273677, 142.10831887271411, 142.33066663155043, 142.470827192439, 144.52910223018614, 144.87883761041661, 147.54008508635903, 150.16786842698647, 150.19950359175598, 150.44137374203717, 152.28369075426778, 154.40160549922334, 156.04962119629369, 158.0706928472384, 161.05554739383157, 166.27378238217179, 166.44806580933545, 166.93103789924132, 168.32702176406127, 168.85605684870379, 170.22778568346905, 170.38420920396536, 172.6140441824403, 172.87380426863183, 173.58100381606968, 176.18790749178592, 178.13776923214903, 178.85691207381606, 181.04465350752915, 184.69852844102022, 185.21562137120065, 185.46823128897503, 185.82316321227464, 186.3325915488181, 186.71814806920335, 186.8926822972164, 188.65898985113341, 189.06727941151587, 189.7513671829264, 193.6438800463942, 193.68534878589588, 193.88195740677665, 196.44066137443596, 196.71074457322987, 197.23666500708634, 197.41851741143682, 197.43947151780512, 198.61624956822749, 199.05112141375918, 205.05270528916668, 205.17974981362627, 205.96297135990065, 207.40053593719838, 207.91727810115711, 208.37887991532654, 208.42019364877862, 210.09048560348208, 211.2915695280216, 211.9185758673583, 215.06292675394525, 219.8796058001233, 221.29715397412772, 223.11518079523847, 223.59448689118531, 223.69675387994266, 223.99727914040415, 225.14831730059541, 229.59141057613778, 229.69196535428821, 230.15619427136465, 231.36227807897851, 232.90297330430349, 234.65724746542568, 237.04524200485992, 238.06089817848741, 240.15088380421946, 242.91286283501333, 243.73941189566452, 243.86921290013703, 243.91560721495216, 244.92635475743529, 245.96808929118512, 246.23796683589765, 246.28361886480775, 246.63940218280905, 247.20905962088793, 249.69665352170722, 250.3977261743409, 252.72288612053887, 255.97717829943235, 256.28238023695542, 256.63513196622995, 256.95618504212052, 258.62782973215849, 258.77381409703719, 259.43086036585737, 260.01618047964007, 262.21289383902399, 262.58892121114019, 267.34712569056774, 267.46983256544195, 269.33092196922013, 269.35777819497827, 271.1941426951671, 271.36379196133896, 272.06660056063407, 272.59020471240405, 272.88739483364139, 273.39976072374895, 273.87791621302057, 274.44626844671177, 276.49986989164495, 276.88571599953542, 277.28062310582527, 279.85805051684508, 281.6834440301605, 284.00795518499206, 286.92887789813494, 287.57875620720114, 288.95667776226327, 289.71639933629467, 291.27722576246975, 291.62252238738984, 291.68154236460066, 292.35818529285729, 292.927977467076, 294.50548943076399, 294.55166010808642, 296.04095272529759, 296.25044775771556, 297.27094568461843, 297.61851507350866, 299.69131503916503, 300.7083684194144, 301.60252402911061, 302.3344719015725, 302.73990481172677, 304.72655714813669, 304.98917503017213, 305.49523054356899, 306.58382090057745, 308.24829453727659, 308.30689558343346, 308.78309785776111, 309.30052037123585, 310.70457401511857, 311.33656433729738, 312.00536699298414, 312.3334401368773, 312.45327383162635, 314.23812129689469, 314.68562013373781, 317.4432819460431, 318.15282165285578, 318.57393347716896, 322.43752287729086, 324.82655784094368, 324.89011657257834, 325.44170434460045, 327.68053228831997, 329.42122538247224, 329.94538713297936, 331.23454060208536, 332.90682322243555, 334.13809948480844, 334.76828070324768, 335.09467705476692, 337.72753110531596, 337.94024445704338, 338.41227254389901, 338.72544406262534, 338.80277487793143, 342.60787591111693, 343.4350659896341, 345.91545765589882, 347.5455475089845, 348.03057297221989, 348.76815622188678, 349.19332783196199, 349.73708623247813, 350.70382792825205, 351.98513444223528, 354.82718894957861, 355.08922875707964, 356.33996468069944, 356.88760304667159, 357.18166476653693, 357.78398224287804, 359.10023224474452, 360.9426704761546, 362.97643410575466, 363.77641932301611, 364.1518237586676, 364.27932094699656, 366.00449181350211, 366.10653536602587, 367.02217588893251, 367.87785608925901, 370.11765836032799, 373.17446398161155, 374.32897269913877, 378.67737908967155, 380.18793046008238, 380.70508547071086, 380.76786332040894, 382.21854680871797, 382.34518846685995, 383.16984243758367, 383.4255924472663, 383.57472564858983, 383.95314156489991, 385.04930111080387, 385.35594771862918, 387.01967818856747, 387.83288407985708, 388.6042809855183, 388.70243748309053, 389.21894173886767, 390.95565070736365, 391.62873662181181, 393.13517010081245, 394.15040938125287, 396.87884494613968, 397.04927881565584, 397.81271722581437, 399.11527669824983, 401.6180531369194, 402.19701490271177, 405.69955823970986, 409.19841988966567, 411.19772983142929, 411.27849362343551, 411.8440088339305, 412.41639834477417, 412.86237823815128, 413.26848019533355, 413.75846710200631, 414.94282669387161, 416.15511302334016, 416.18929008684677, 417.11826753682669, 418.88009406394235, 420.91077127363695, 422.18673311111183, 422.48915613919183, 423.49397635085415, 423.82074667853652, 423.98592366129071, 424.65470085008678, 424.92604232577384, 425.0186727297305, 426.6290393337319, 426.7612263057282, 427.93591816323794, 428.38612660156946, 429.62979240755055, 432.06609612822155, 433.05984093944375, 433.66508205905768, 433.77154957355719, 434.4417973356916, 435.72218410791419, 436.30595193645644, 436.62109866658778, 437.1032277135194, 438.75014345304845, 439.69537112297706, 440.87879956534948, 441.54588892222341, 444.98134072464222, 446.13013650550448, 447.0017278495306, 447.16383763540762, 447.27706891414005, 448.99840030907416, 449.49212729571832, 449.81355626852371, 450.58675926288242, 452.2798324773172, 452.53877314802889, 452.98808631560439, 453.21553008643434, 454.23688775049834, 454.82703059772132, 455.34550773058857, 455.86957795564041, 458.5617530642852, 459.53071080251141, 460.27004278278764, 461.48699834306461, 463.91175992299117, 464.53289092627801, 465.72621266612299, 467.16766408486961, 469.26831251780101, 469.4748081667056, 470.34685933904922, 471.0957092369992, 472.34461778655032, 472.53770435671197, 472.73237481386406, 473.65997581380799, 473.77305178160947, 474.15774231079632, 474.64986977495658, 474.78380196705575, 476.20002807186137, 476.35627775416646, 476.8154637679192, 477.93513307001501, 479.18883262958838, 479.4441926224232, 481.1170347886557, 481.34913038863579, 481.96144366901535, 483.10306193416278, 483.4037329817985, 485.8984636507368, 486.0786775176835, 486.55346292966999, 487.06889805435924, 487.11516930449096, 488.96141623432453, 489.27730461239997, 490.08356673723318, 490.10926095462395, 490.53249725818392, 490.84643017409132, 491.6740928334587, 493.12923757435539, 493.23027866223646, 493.47928054738321, 495.01548946707805, 495.9219577228971, 495.99177514686153, 496.39113092449895, 497.80400200809339, 499.08404758935342, 499.26123171486074, 499.7106296152146, 500.36056196832573, 502.30881978809776, 504.29097505376899, 504.97376958546647, 506.52175892449503, 506.73947813270655, 510.20798219783796, 514.70033830802265, 515.7464221487262, 516.86809830887432, 519.01470787505252, 520.50336340105048, 520.73586643568115, 521.22002723098421, 521.49630399406806, 522.35401523072915, 523.07817159447984, 523.61293415232058, 523.64222867837066, 523.71749202624892, 524.48531327084083, 524.6861833611282, 525.00554338966197, 526.37465495283425, 527.36054070221417, 530.14982841980509, 530.27822038485874, 532.53385644163382, 532.7244081410887, 533.56680075279928, 534.03514100091797, 534.80511183289605, 537.64921965784288, 542.8365345051543, 544.02005083985762, 544.09151128103099, 546.62823069467527, 550.24296297285287, 550.34085931826871, 550.70402292764732, 551.89558641703798, 552.20414932067956, 552.46338461193227, 553.45159248309199, 554.88473602188196, 555.93069041288504, 556.08499719606152, 557.14338589142312, 557.31559112001139, 557.54762573009509, 557.87571891005746, 559.04141880882207, 559.36447184946894, 560.34975613433994, 561.00844803997347, 562.18645707338578, 562.55254759885997, 562.60524360820841, 564.27390446072104, 565.06686618236438, 569.52172462131512, 572.67759317582909, 572.72082026471367, 575.58552156679798, 577.02495749595289, 577.24681680829292, 578.10232185476912, 580.81877116260273, 583.61488207442255, 584.81304362988351, 587.47984405871523, 588.2647624778624, 588.33309009600282, 591.14273020509836, 591.44557074837951, 592.1827810449339, 596.2411321825316, 597.10212548002266, 599.35271011167731, 603.3442591588406, 603.56959538342471, 605.33113859455409, 607.32230829386674, 609.05807731998982, 612.3979391408825, 614.77154941744254, 615.70696345012527, 615.77314938362429, 616.47766163085862, 616.74855901667581, 617.06782419689512, 617.40505505637896, 618.26916790049586, 618.60921604354849, 618.9391340583403, 621.32034561543719, 621.41514613354025, 622.346354343288, 623.81732120983872, 624.62427714919966, 626.44474487619925, 627.68885388371689, 629.34777011705455, 629.46260524308639, 629.57479697264819, 629.65520773700644, 630.62530243587582, 630.72379927270413, 632.83327125591177, 633.6604538187662, 633.74681171657699, 635.07471521250943, 635.74882087176081, 636.15735229427719, 636.56322866073299, 637.77208868532648, 637.92185716254335, 639.68242352821312, 641.65733500748092, 641.88229461349852, 642.17596889881827, 642.93155604812603, 643.15107726700751, 645.5006367483046, 646.74311380146901, 647.51766564603543, 648.1726487241923, 650.16916480478096, 650.21072232534505, 651.28757969100252, 656.22817300854365, 656.28318093485598, 656.76463046751167, 657.09583066184916, 660.12129980570751, 660.22753727537884, 661.75915915633345, 663.0154694729282, 663.26633902049468, 663.36730763633329, 665.86230178621713, 666.12940110751322, 666.23065281699121, 666.9325408914849, 667.77128187983362, 668.40880268745059, 669.96382681462399, 670.38922289239292, 670.79463132902436, 672.05654167004707, 672.12402993478281, 672.81319185349878, 674.51000013996668, 675.85877646136771, 678.4038654566715, 678.80551483383476, 680.45707068608226, 681.12348441013728, 681.47856130864284, 681.66998734586969, 681.87951150002027, 682.00780099857138, 684.57023649074756, 686.25508031832862, 686.33007060081627, 686.61419239754332, 686.90298797303228, 687.18198291313081, 687.39551064674788, 687.66380258979723, 688.4457271081443, 688.46840830673159, 688.6912966188878, 691.87677287371196, 692.01732865579777, 693.49338644860575, 695.41212793976536, 696.19593218162765, 696.67623573339836, 697.69063298271806, 698.25242166230555, 698.38154403068017, 699.44372412227995, 699.68439306607024, 702.0648764026887, 702.596710690132, 703.62329726333053, 703.94342985095739, 704.71432690693905, 704.80309416054251, 706.16238385341092, 706.54574196747387, 708.53767626255035, 709.44612166344689, 712.22569264391905, 712.48470735235526, 713.33370024468934, 714.01584705142784, 715.34683250802425, 715.46991079278018, 720.05589172071575, 720.5255838851067, 721.78200616843105, 723.46188632172016, 726.6334282131844, 726.87930206680744, 729.27809361597963, 730.02905882937648, 730.98510940275355, 732.28912233751294, 732.60516264632145, 734.25202337850169, 734.59031417932567, 735.89438733555244, 736.76359904493449, 737.26727143559219, 738.10135769883084, 739.53633949133393, 742.07238471640869, 742.32509847110043, 743.08357767484961, 744.72638788165864, 745.60712881708878, 746.03292260657781, 747.22593453319803, 747.71809754939125, 750.60795347193039, 750.69139208352181, 751.42647136380845, 751.62024765544379, 751.78033659805305, 751.80569623497468, 752.47537415634554, 753.05645611671412, 755.11665189979954, 755.14164275869177, 755.40325403121642, 756.5011036521521, 758.00748925716914, 760.55815458403902, 761.79603269568895, 762.06378991699614, 763.2794626365345, 763.99514559160446, 764.93679321525292, 765.30918326579194, 765.78700616644062, 766.59806824429347, 766.75216387005696, 767.41315879383421, 769.35675477663585, 770.46797367008264, 770.53170253759856, 770.86030736342423, 774.66774246074021, 775.30086855683885, 776.36184761206437, 776.41505043408904, 778.83497209643372, 780.60624925224818, 781.79807217949963, 783.49228912255865, 784.46783871186096, 785.42588247411675, 786.12394117363488, 786.37164828277253, 786.67596161609094, 786.79200066285591, 788.58644840230102, 789.69075191409422, 790.08320272145954, 790.38778463359381, 790.6468850270212, 790.72067368277271, 791.32197009902347, 793.720923608607, 796.80316868874718, 798.39211619227603, 800.53450580354024, 800.81743584807543, 801.2070508170151, 801.59625298806964, 801.6739831627317, 802.0842910516858, 803.32825617114599, 805.02055116099211, 805.31382777094063, 805.54815296310892, 805.81998945581154, 806.25350939746852, 807.93400614607526, 810.84623088942237, 811.38430802584207, 812.53095351735203, 813.88362158803579, 815.46809011214248, 815.63945161118318, 815.79116061474883, 815.88784203147202, 816.44273186832993, 818.96762352892063, 820.42781378912161, 821.91511730368632, 823.99224751456165, 824.29915558682467, 827.53464084339396, 829.10650883289179, 830.936683335579, 832.02322583018758, 832.63796358356524, 833.29118763462031, 836.89283398670875, 838.64380681044145, 839.15702910773393, 842.99319784807983, 843.6868250374032, 843.79566819867694, 844.18904917563509, 844.83658707677864, 845.49186057092572, 846.87731512494418, 848.16811174373368, 849.20791895118487, 850.13134554897954, 853.86286613669188, 855.99783524002851, 857.16363782180713, 857.59148283724971, 859.39435704420305, 860.19818825349626, 860.48696156999517, 861.80942850868132, 861.8748522645933, 862.22863180679269, 864.68136166840952, 865.14525600042555, 867.44826088661625, 867.70743868245995, 868.25269013185368, 868.2837350481243, 868.64205531411289, 869.64445120161076, 870.61837921319466, 872.21306660449056, 873.59942609276686, 873.82370054601677, 873.86154858296425, 875.67443639945304, 876.07981264304919, 876.58977081000091, 877.07058108479498, 878.1408216705297, 878.91727611426768, 883.38100874395843, 886.15309752695555, 886.44533642625026, 887.45129913279357, 887.48490305462485, 889.19277491127787, 889.39217479106526, 891.70143128408381, 891.78531275906323, 894.14655231976133, 895.393124880409, 896.09716354721138, 896.18536463751491, 897.48895788249979, 898.3058329438793, 898.38067851113965, 898.91172159396717, 899.04263102558127, 900.44649734257621, 902.13829152268693, 902.38425547183544, 902.90293048786839, 904.1112291981442, 904.21943115163378, 904.70586320719974, 906.49665754813293, 907.29413549792071, 908.08381954947083, 909.1902810437474, 910.85655598313667, 910.9617742232432, 913.19881167888514, 913.4723828731851, 914.77175458888792, 914.92159537409657, 915.89777075233724, 917.52486745177021, 918.3244086226598, 918.45607059149245, 919.910818848188, 921.88856907958041, 922.45832395053867, 923.50115678684199, 924.25253699441828, 924.46157765647274, 924.90821775648669, 924.95260909640729, 925.63011687625351, 927.27622632099497, 929.30418533234911, 929.39126255505494, 929.42951490691792, 930.0992299673328, 930.33716288012681, 930.94415342633408, 932.38174652251848, 932.94219626941879, 933.45125287506767, 933.79009516943893, 934.45547171009184, 934.71780109719907, 935.56687721541391, 937.01170484349382, 937.16017230056059, 938.13375178313413, 938.4946359980006, 938.87597642737308, 941.72951651129983, 942.22940010005561, 945.66413736305685, 946.33808244152146, 948.47782445786527, 950.43345930765895, 950.56915037642989, 951.97336907433919, 952.35439610590322, 953.36162203890433, 953.83349544030341, 954.24287803455331, 954.9252447795991, 954.98169339692788, 956.02224555157625, 956.52971053325564, 957.22954950106293, 957.70615043065288, 957.92139791759246, 961.47686208163657, 962.75541092031688, 964.54291626412078, 964.76642845173637, 965.48498169927268, 967.11774032628909, 967.58467674352664, 968.24878935604568, 968.45448120877836, 968.52409909214418, 969.80469170868366, 970.22355927794433, 971.69254512990415, 973.01738498702923, 973.21897591244669, 974.757491947944, 974.9330566995659, 975.5142007833, 975.55733958374265, 975.87724224187139, 977.38625472821673, 978.03654417959365, 978.41250515226079, 979.45106252112942, 979.9840560273841, 980.037751631579, 980.94443533085064, 981.47869155365493, 982.02365523890023, 982.81723143892623, 983.10979850614001, 983.56383857231901, 984.39630843789905, 984.86599554001998, 985.2997747189437, 985.94357071539162, 987.06636027573018, 987.72432503373955, 991.35729848728852, 992.38177621598425, 992.76043036405747, 995.39886804170521, 998.23091509948506, 999.03690289816211, 1000.2768465847212]),array([56.722458852127964, 58.323476423869074, 59.504630071602442, 60.423178446676083, 63.965493573584389, 65.167621269332543, 65.426628873310179, 66.516814980108833, 67.346459240913063, 68.168508375899052, 68.341211117616396, 68.947587830360177, 73.005165740227298, 73.497443868477674, 74.229783539923673, 75.412688393418506, 78.353473592428813, 80.45245202977533, 81.695243308621102, 83.340104960671368, 85.236983803987144, 85.378285190754738, 86.646524851490994, 86.720643860463952, 88.269970238141468, 88.739331107656128, 89.415360847016288, 89.499903371376405, 90.230391750193988, 91.199522492747477, 91.652226214904502, 92.675777593301788, 94.350573095183663, 95.165376005187355, 96.758890931548009, 98.081455760727081, 98.404956861490831, 99.994091146482603, 100.56844196249644, 101.1898162352294, 101.50526566640502, 101.62190074587369, 101.64710229298333, 101.73026159201538, 106.76612863471946, 107.42671498605061, 110.05577850372872, 110.74907607277791, 111.28125458084973, 114.14004179709028, 114.5153769460632, 114.98262301976672, 115.06441472468875, 115.34950828400829, 115.45941496561161, 116.63182851145447, 116.68715763843942, 117.98995380288498, 118.31988011127197, 120.12684334712871, 122.87517767710862, 123.94486631877851, 125.37724442061463, 125.86372631482207, 126.26695351128443, 126.30566559210628, 127.44639953996715, 127.65986422502495, 128.84748809918733, 129.34787815294447, 130.36211365001702, 131.71471826003537, 132.78320564348698, 135.36444494030275, 137.92381174732029, 139.72535702983436, 140.63151167725812, 142.29729242797427, 144.17538469350231, 145.47297567414563, 145.78662158439235, 146.06568082368332, 146.65887467068214, 146.73183478022776, 146.8210692743429, 147.47336157099775, 147.5894642017648, 147.95520187560885, 148.14803484729958, 148.45920526888625, 148.79954424442258, 150.32123909039299, 150.35655152394691, 150.79607033967272, 152.96802041996875, 155.91228618664107, 155.94209965119515, 156.28365262127846, 157.64532189427328, 157.96277296417853, 158.66122994947537, 159.03391218664947, 160.33190609525582, 161.262755515923, 161.8449183002827, 162.02726085502877, 163.3056779201595, 163.83960139349298, 165.83193758681776, 167.75063460994087, 168.19173496943068, 168.80355701756071, 170.11874577566635, 170.58041056940328, 170.90693618587247, 171.4952831312057, 171.75171755026952, 172.98711592587043, 173.32651376675668, 173.5504693749188, 173.74791472244286, 174.11998609588659, 174.31709741781683, 174.53494409372021, 175.45355757351263, 175.97782543419498, 176.27310421437952, 176.51926609456206, 177.22136799923015, 179.40837923129422, 180.37577445678022, 180.68837917383769, 181.77720325021269, 182.88181496494454, 183.54451867681726, 187.04520865461589, 187.98808046859438, 188.6849758266697, 191.08528692354264, 191.13803102153597, 194.24163779041572, 197.45940697098504, 199.8626804481903, 200.99401171806267, 203.38109945206824, 203.84081641196528, 204.4465777578603, 204.59568050306865, 206.11177011229901, 208.21059820610137, 209.38268856895797, 211.92904149756143, 212.2031215642848, 212.25894473887072, 212.76224182993198, 212.93901176396633, 214.29698278492575, 214.47710978667786, 214.54138953038097, 214.66781890045036, 215.89661542751566, 216.01296706686503, 216.15281944505358, 216.45681429026362, 217.37474665332607, 217.55149007618948, 218.70731620529637, 219.84666458467251, 220.8891561277776, 222.3842419237553, 222.46813857179555, 222.64565954707089, 222.68575383931119, 223.15527590542968, 224.39649671963593, 225.2409513603462, 225.46425849970328, 229.12480079255621, 229.59341536853509, 232.1421467436634, 233.12037429190917, 233.54297637212937, 234.19941063078087, 235.52966198293208, 236.30182619402225, 237.37390566246802, 240.98073814685037, 241.62606164792101, 243.84500145723865, 244.74032441878347, 245.35391506955861, 245.75206546554185, 246.81965114623375, 247.4309977260196, 248.60413563846228, 248.64952349659592, 248.99251214351216, 251.80231584522912, 254.37375254164215, 254.40476064741688, 254.58517338775491, 256.16301632865287, 257.24967445080711, 258.48324367607626, 260.31825079589697, 260.39021999802219, 261.32583877969358, 262.10002427462871, 262.85380553016773, 262.89904171485927, 263.93158053556471, 264.94031359509512, 266.34923020905268, 267.77665231499714, 271.01195454116436, 271.99598972423803, 272.03253476053743, 272.5497346787289, 272.62488580681196, 272.88196909880435, 276.01074191408077, 276.54341871426783, 278.09096015916549, 281.11499737630737, 282.63178048727434, 282.68796918748279, 282.80209152610917, 284.21633006378107, 284.97804476102908, 285.61286047272131, 287.51125151387004, 289.28679713773784, 289.55100957855234, 293.21963600179231, 295.99252797330308, 296.87211930047243, 298.16610792797661, 299.9606802858911, 300.23242038407, 303.50505971511029, 303.68874705601894, 303.80665075033062, 304.92099976221823, 307.10011913955998, 307.40703192670816, 310.2701279111505, 311.10104107078308, 311.64380423394073, 312.38664305638139, 312.57621761157463, 313.7891710143669, 314.36852922441614, 314.79724204912293, 316.15831195484986, 316.77222156685519, 318.40300463054353, 318.60879441047138, 319.29458380269256, 321.21584977975982, 321.72143570370918, 322.41689709565821, 322.58469123726684, 322.72282528265532, 322.79311469196983, 324.33638980573647, 325.1232767956821, 325.1439647644512, 325.57845086879951, 327.30511442156791, 329.39460533529007, 330.52695672420703, 331.61560854302883, 332.47719168962851, 332.74798559678271, 334.4911317047916, 335.99667988467922, 338.46872611095455, 339.74509340743981, 340.20913708802573, 340.4070074766563, 341.40307007383728, 345.97886319571484, 346.7442379763757, 347.17835635267261, 348.85834939075039, 349.19804947573749, 351.37379272165407, 351.64166688102051, 351.84625199213031, 352.65107136828215, 353.34511002338553, 353.65140895046562, 353.83038962871331, 356.45684642616396, 356.59180607410059, 358.35327327641681, 359.07101837080455, 359.11523069694289, 360.53849538473816, 361.87872180884261, 362.1504006604269, 362.26693622711053, 363.4177544496788, 364.1696714677102, 364.72677874673292, 369.77795015212394, 370.57268904357034, 371.04586572591205, 371.51089063819478, 371.97412406708429, 373.7334148753331, 374.10642903222822, 376.42586682701182, 377.92725354760688, 379.55043519980637, 379.76383407263921, 380.70521386365698, 380.74940806745428, 381.61893228881593, 384.4760800012449, 384.95355962120323, 386.73495622977197, 387.68505438935784, 387.93931910585064, 388.8133600488693, 389.14983581623335, 389.60808664160288, 390.63251281343935, 396.35377273090205, 396.85229715104504, 397.21676053536424, 397.82210371011092, 399.47837365401068, 402.27961896366008, 404.35025720722138, 405.52357204209568, 406.13023825069951, 406.57651673526198, 407.46541225511618, 408.07328185356971, 408.93134542800118, 408.96102043676149, 409.65234811435425, 409.80478719766074, 410.32539498750333, 414.21444059797744, 415.05849319591397, 415.57306257400518, 418.64394696062334, 419.7441375237338, 420.92814249679037, 422.29899630071355, 422.61528753123383, 423.59821457398527, 425.24971239006857, 429.42753055709625, 429.93604535412743, 432.53729568766278, 435.88928776037761, 439.94808415399342, 441.24499666758118, 441.30894999030119, 441.67920130077988, 442.35409059749895, 442.4973673305775, 442.99220015353382, 443.82106205695897, 446.75986820307389, 447.25502161231532, 448.97694115356865, 449.19707289770287, 449.7629190869518, 451.51642049883577, 452.32462714122028, 452.47559065262845, 453.84734164532216, 454.51884842176605, 456.17920557136915, 462.99456719093769, 464.39327237914142, 465.05340096305486, 465.4476245900039, 465.61302536665801, 467.01951438885698, 467.55732365947097, 467.73890345481828, 468.8443447619037, 469.87972839464345, 471.6381195524458, 473.96118479871762, 474.7731847398033, 476.53467893320499, 476.76971871707639, 477.82849068219315, 478.45514424126583, 479.14042960268898, 479.94863746063663, 480.1240042904779, 480.21404512121637, 480.34300006045078, 481.51964388370243, 481.59558423122974, 482.09999225025274, 482.94617554910275, 483.61911541175436, 485.08630824128045, 486.48437047119586, 490.13063798862942, 490.4387355414915, 491.95104836776312, 492.58612262876358, 493.56216945186725, 493.905236680374, 494.68465495131341, 495.14704481358467, 496.28074519990071, 496.63933456762317, 497.68530409252111, 498.96238182949838, 499.97119180004609, 500.46355541668271, 501.57391690313028, 502.39273909293081, 502.41905268721541, 502.71394974208721, 503.31283663373125, 503.5407860859396, 504.58672991102617, 506.28627949836215, 506.82699351309134, 507.61001451767851, 508.59583656574398, 509.7265581079601, 511.02669908876322, 512.54829391099065, 513.06752030824941, 513.31746264036644, 513.52703125182222, 514.1630080666622, 515.87102548495352, 516.40167855850655, 516.92352967616, 517.37021599512821, 517.43767467017324, 522.4720737760324, 522.57186965895198, 526.35855163927829, 528.82594760898451, 529.0621643512203, 529.53710461667572, 529.99862569928473, 532.28939603126207, 535.64881287012031, 535.86637622783201, 537.23642724798538, 538.86631660242176, 539.36255657277331, 540.01252779005586, 544.72685623799885, 545.52343301312715, 546.40078892909673, 547.54455492221462, 548.32910185132039, 548.38191429072151, 548.46452932713623, 549.22032734579193, 549.62305651327392, 550.21678099929511, 551.65695919322059, 552.24493800991229, 552.53868444250872, 554.00457769813488, 555.96903400708459, 559.54552558866385, 562.40431456213673, 562.81748886206128, 565.65252848270893, 569.15410889942814, 570.02380696380658, 571.05308086618891, 571.41920403005315, 571.89417440279226, 571.99276155116513, 574.04231502000653, 574.41256259821375, 574.76332791924563, 576.48571192860936, 577.23451075364926, 577.64821802063614, 578.37545947025149, 579.14487386074825, 580.00068555950088, 582.04525039267025, 582.44667256430546, 582.71047212607448, 583.54356221835337, 585.32411013683316, 586.39007148551605, 586.97752040938428, 588.33411960573233, 589.49943860958115, 590.53361671042887, 591.00835493698366, 593.82886050144896, 593.91290879344706, 597.83186369937278, 598.20188730231519, 600.26955681563152, 600.38730450549701, 603.66466115576111, 603.74448436310377, 606.10379707407481, 606.46913833786004, 606.65795956525858, 608.00392650568324, 608.64566053638407, 608.82276318817208, 610.3758277250372, 610.77555475656857, 611.34401547529285, 612.00303625414244, 613.6705192655038, 614.41174766756114, 615.73963127919296, 615.84174474996405, 616.33448035863455, 616.8436689970307, 617.95449192531555, 619.44649385096386, 619.68561693320294, 622.07920335260496, 625.00599483873259, 625.15303559022152, 630.24006963348609, 630.93016598421127, 634.99603843622322, 636.00798194795232, 637.62077247127934, 638.08611795947593, 638.5655940775531, 639.3667155367765, 639.47580304413668, 639.67905040876121, 641.87637806997191, 642.59070140639835, 645.56375621628797, 647.2362813638307, 650.27417601419734, 651.87973498993836, 651.9964148585816, 653.63600491387479, 654.31095965337147, 658.53831462267271, 667.5277209072184, 667.8846195661406, 668.52338254155734, 669.06897232486438, 674.56792004685133, 676.21975991479383, 676.37588149478836, 676.42229369729341, 678.92161054423332, 679.09600917586863, 680.55833390130942, 682.07150452641145, 684.49165952532633, 685.03205642020976, 686.07485141261077, 688.874529622566, 689.31312212777652, 691.40262861349152, 691.50212303167268, 692.25769949776532, 694.53680112804602, 697.4821912417018, 697.89399974505068, 698.23769623188548, 700.19667096486864, 701.40647203658762, 701.91587231257733, 702.37036212987618, 704.9763423654656, 706.67899091459969, 708.19883486632455, 708.77719932533364, 710.58941975747246, 715.36324618767151, 716.59984059991859, 718.51839334627834, 721.04234084463872, 721.42731545335857, 723.47109627882151, 725.2894551840493, 727.10345824241654, 727.82689524733917, 727.93376780132598, 729.10382384251204, 729.15533156075401, 729.18362519978325, 730.54250846733407, 731.44440771089137, 735.26611254787224, 736.76206799857232, 738.040482370154, 740.53403951478947, 743.00267791843851, 743.73502259546046, 743.94376091239212, 745.08883911193504, 746.48279077962468, 748.8381369611219, 751.12536559361502, 751.7006534728182, 753.72611712816968, 754.37102667933004, 755.64415379172988, 756.81153169043966, 756.99630061195035, 760.21851866170391, 760.71672458742933, 760.77103965437527, 761.60244582173209, 762.90217607011732, 766.10918792681082, 768.70904057483915, 769.09752786504998, 771.1535398754778, 771.24687583505874, 775.29942733252449, 775.56347600523338, 776.32738514498806, 777.68670179606579, 777.78447205104248, 777.84187388681744, 778.11045212765623, 778.34634544257551, 778.43145763878567, 778.64916924383681, 781.93029688842887, 784.98989281905199, 785.17257626768298, 786.16428427014, 787.65130753018036, 787.91822228963849, 790.26687462186612, 792.87852725634502, 792.99418970718909, 793.25109864682554, 793.38108554100029, 793.8184434764845, 794.51059833419538, 795.72845102795668, 796.35829461518722, 800.96308745210513, 801.6340131800514, 801.74284496982705, 803.67534372387536, 803.77579682516875, 803.79912107238465, 805.14590094413188, 805.32166379076216, 805.59513447122504, 805.80406244626602, 806.08272230667592, 807.14145887049574, 809.12755403121469, 811.17235782391822, 814.73594737984865, 815.60680780898144, 816.10855406093765, 816.45925112914802, 817.94086973749154, 818.13722019148759, 818.82241708850631, 818.89819857385942, 819.50138585100535, 820.69959835472196, 820.88049976471427, 821.7344221060132, 822.53501990251584, 822.81618283723765, 825.08155821366802, 825.7422949883445, 826.42774635434409, 826.45436753307979, 826.80530494526954, 827.17341805755825, 827.48694834976573, 827.80126773018833, 829.41790111270814, 831.53577212410073, 833.84218827960854, 833.87562409113912, 833.90613157707833, 834.52806605890237, 835.11125234250619, 835.99206635883161, 836.38795948395227, 836.92168929315108, 839.03153768576203, 840.51235906398745, 843.53254927233684, 844.53301701192731, 844.75818194722069, 845.82020340286886, 845.97128537162303, 846.66463449184005, 848.38631302518149, 850.02217003679425, 851.9422599946555, 854.20085578657358, 854.25772535608678, 854.62315040805731, 856.07095976068558, 856.40471503320305, 858.05631158386223, 858.46596098767543, 861.05661571718326, 862.61415247018192, 862.94053050369155, 865.85894379069396, 865.92714079882319, 868.55395209893641, 870.16651439687007, 871.11892479558617, 871.93017176447665, 874.03958971114946, 874.27302854877553, 874.71133436105993, 877.82273701093436, 878.16031355766279, 879.12970534708131, 879.17199961088659, 880.18562368785388, 883.24279222569407, 885.30325376943006, 886.02820962218323, 886.70197605995713, 890.78125597761334, 891.3610969065802, 891.59073612289535, 894.33861502377772, 894.42805212102473, 896.32328816196843, 897.44988117984678, 900.66460561240717, 901.39750286362118, 902.43996937088355, 903.38689889117848, 905.24885288251107, 905.61527175060633, 905.6486777552318, 906.12311439808389, 907.96252951835402, 909.30718336403675, 909.86129989391179, 910.29865011651441, 910.51501974716291, 910.5764598988668, 911.67224884328573, 913.26108973871726, 913.50406211992299, 914.56290979613129, 914.7364102628635, 915.03095603471411, 916.91464024373602, 917.13546131210842, 917.38615794524867, 917.69065261304638, 919.26110157884818, 919.94067836267914, 920.21912666026719, 921.61054076099845, 922.62798370070516, 923.67131182101355, 923.8269086885424, 924.31724676625299, 927.26193549477125, 929.21846208143154, 930.4527219692518, 933.47675199187597, 934.08112682071828, 935.28893117766677, 935.80477184061135, 937.14536762927582, 939.51101075482995, 939.59406042671685, 942.97109964049002, 944.62222405976786, 944.90575453623251, 945.08717470485624, 945.2044971316144, 947.13826996488831, 947.36777114793108, 950.91479626702221, 951.35279768689338, 952.02234673714645, 953.58913315503787, 954.25897879532658, 954.78766595699153, 954.92832725673213, 955.22897439329574, 955.81036304299948, 956.03496925517629, 958.35995012277863, 959.68433502251935, 961.03071765922357, 961.05632911187524, 961.56309893443597, 962.32703308465489, 964.30406822651605, 964.81438546790298, 964.89885922851363, 969.85901706439006, 971.40904909870949, 971.76287246913137, 972.75256281777774, 976.19548684387019, 976.47414254578985, 977.36154721133403, 977.47900417727203, 977.60634119542033, 977.71921952872287, 979.85173924767071, 981.29193974813495, 981.74562815162699, 982.11977168772432, 985.04346093094046, 985.36435696117587, 986.73483800179747, 987.32546807310132, 987.58237493519187, 987.76815466792061, 988.15170076238394, 988.46512177313332, 989.25995975238175, 991.04338761102406, 991.66598875805107, 991.72582604535501, 992.67929360141056, 994.05763355941178, 994.88370130103021, 995.95850396172318, 996.37417680528097, 996.52438522821342, 997.12529568631851, 997.21960179201403, 997.68255449673109, 998.1920742552893, 1000.7189399158981]),array([56.686758201199481, 57.548654195262415, 57.740216868178308, 57.784083489217018, 61.845681711038438, 61.99020297464665, 62.654151594860465, 62.92049629622619, 65.654804281454105, 65.951628627693481, 67.472366902637262, 67.86986683009458, 72.855576152272675, 73.760349396075355, 74.651059300489734, 75.050462819432695, 75.204052818932283, 75.292197460542667, 75.953042383312436, 76.383046046876188, 76.605680705632025, 78.674520428617896, 79.542449216011747, 79.677465426968183, 80.058423526486237, 80.460027131789261, 80.514721780154829, 83.896143184067085, 84.058985731465995, 84.269298805131228, 85.115987639510521, 86.622561098967367, 86.950945828426541, 89.329941505602292, 89.581947943913462, 90.697014112108363, 91.306513700635222, 92.441365741592833, 92.512426671373575, 92.850070454365266, 94.186590323465055, 96.700313719532687, 96.747012290710288, 96.956924482483899, 97.420085680760081, 97.902071788702585, 99.043920596271363, 99.213004917245158, 102.93230133954619, 103.69726276509388, 104.0248483036393, 105.32084386653754, 106.14329215614063, 106.21875085536914, 108.7831654877285, 109.10404853424532, 109.20252849601175, 112.1247047509161, 112.39438660548146, 112.4867833844626, 112.6517834019223, 113.26305107108328, 114.02741122903443, 114.1614826062263, 114.88817728056695, 115.31596491712641, 116.07019377562791, 116.75947655450098, 117.08490912278454, 117.11542264269475, 117.63607598400708, 118.15362134334686, 118.30575993156016, 120.24046629341497, 120.27061669710193, 120.48789695000157, 121.03870354631768, 121.54407031958861, 121.93851704848092, 123.76605219133708, 123.85042431486583, 124.25804742442799, 124.6968309186914, 125.34074263521359, 127.34004501250479, 127.44704707166564, 128.64569252431329, 129.07977257690104, 129.43849939903851, 130.62939680201038, 132.72949272206051, 133.24104626037993, 135.31766834673147, 135.46791734535387, 136.88475519464177, 137.02651733101723, 138.93553165820657, 139.18725132876841, 139.59016030999604, 140.30778660147183, 140.3530237950302, 141.581206063107, 141.64864652827626, 142.00531318723787, 142.13186230457259, 142.84972394361438, 143.06168668292776, 143.95033563813263, 145.69146268032353, 145.83367593753024, 145.97623861349808, 146.20311281798283, 146.98092302511549, 147.80342762725536, 151.07451897379292, 151.44761048738064, 151.56308468453472, 151.87395070328239, 152.35066132113161, 152.49178417155733, 152.72216389736758, 153.81962520258205, 153.90052380585786, 154.74193884620678, 154.81054930830743, 155.43086239088896, 156.65777605098603, 161.98020157543183, 162.57954708808228, 162.87833765413458, 164.29800517586546, 165.59103349441131, 166.56975907805631, 167.15322973677107, 167.28756414510951, 169.93059950454568, 170.09588325917591, 170.68631681755426, 171.06473052872701, 171.26362690130082, 172.22299998422284, 173.23924630561484, 173.78790605036721, 176.45823250270237, 181.69245912865091, 181.97580730886469, 184.12783335732428, 184.54293681110832, 184.82200551145178, 187.02519785043668, 187.2436982135664, 189.20844885091844, 190.05226655574671, 190.40400816931756, 192.08431112511303, 192.4270319862446, 194.95214086562038, 196.21065024864475, 197.32845533110864, 198.48622878447947, 199.96239961773085, 201.06026146079031, 201.80083550803107, 204.20299926521366, 205.13782492464296, 206.38846988749756, 206.59175556725609, 208.1137011183871, 208.38132188361226, 209.06892256433298, 211.36869938859257, 211.44912975843789, 212.09372271843827, 212.61473029812146, 212.87673839566258, 215.95805025116931, 218.51049938392995, 221.07040653585113, 221.40610436685984, 221.6302328671164, 222.05638068506948, 222.21734108277806, 224.3892863726727, 225.59708241463784, 225.99965140346342, 229.73962824462362, 230.80378367543292, 233.01809241446338, 234.43625870363928, 236.47504258156999, 237.89875005367259, 238.89466437977734, 241.03034148914165, 241.89597464464345, 242.86099940154679, 242.92788009634671, 243.18193558696782, 246.32499869274363, 247.52820500235262, 248.30391294794032, 250.05691269808869, 251.70669694830383, 253.13500178453924, 253.79612149893859, 257.34341748663473, 258.99754763370981, 259.67910966945198, 260.5035706897774, 260.82228983281072, 261.49111700695863, 261.70313014844464, 262.01920072437332, 262.29777388783504, 263.77863804116458, 264.75934190296431, 265.98659654614869, 267.1857022032803, 268.36175027484421, 270.09893363804468, 270.99430871422788, 271.84149259997361, 271.88835339408178, 272.05103896469899, 272.53484312476269, 274.45759199422616, 275.23491840719907, 277.73973306147104, 278.34218918288423, 279.84019605397282, 281.11808511855196, 281.36163169345662, 281.59854141730631, 281.73614041552702, 284.67430326390081, 287.45308875464258, 292.75781337154251, 293.00119712647188, 293.41388440682664, 295.86070273550121, 297.67694245504538, 300.30621341826026, 301.42669880175907, 302.41257620151987, 303.38759343304315, 303.57090681294898, 303.93214217358405, 304.57619291252303, 305.68541406909145, 306.31822335416371, 308.21185666925771, 308.67726198349459, 309.30934986210514, 310.77797095080592, 311.2045439130784, 313.16869016785597, 314.3596130505988, 314.57240428871563, 314.97351641674231, 317.61442624365259, 317.7247521791142, 318.73911823682334, 320.94847201671013, 323.3010992915776, 324.5515999255116, 326.35020337460713, 327.0544682994082, 327.64183786625551, 327.7680793657297, 328.99164021088791, 329.76242630029424, 330.55274829486365, 332.31784085490813, 332.83087766095366, 333.02886847966721, 334.85332783946478, 335.00989378508115, 336.44682112169562, 337.10232270196406, 337.86672277912322, 341.1994188441019, 342.03858275654767, 342.99260688860585, 346.72141781847552, 346.79513671376304, 347.43554731997568, 347.61613414755755, 349.95794977565566, 350.48302538539514, 350.69282992211259, 351.87266005992501, 353.00430818540843, 354.91827815996947, 354.94617544425637, 355.72405275088437, 356.90172006267619, 358.67782494760348, 360.30631057134656, 360.95306757310135, 361.96851950571977, 362.6279160978255, 363.05170528483535, 363.50575021851432, 364.43654953621405, 366.13627736513411, 366.46216974796073, 367.41495943514701, 368.85450088752941, 369.81623328496494, 371.23129979884624, 371.87808053446224, 373.38066731696819, 373.6706561646813, 375.59479963423894, 375.75537059601152, 376.82040929558758, 377.75332165019108, 378.34707825613538, 380.71707970008708, 381.85654195985325, 382.54775467243581, 383.48400050569774, 383.57793011818757, 384.41603016967019, 384.6327326114253, 385.41549547423324, 385.68085902279836, 385.87478359629665, 386.14365924383225, 387.84786673444898, 389.31999800833751, 392.91507037845724, 392.97800946236038, 397.10869502427465, 398.20904626778724, 400.68460945842969, 400.80808788551053, 401.4678771481, 402.24047862476129, 402.45240705761449, 402.5527091183763, 402.75299366754086, 404.70913670554677, 406.93643627723895, 407.58497300595218, 409.68548355117287, 409.91610063399435, 411.95694886906932, 414.41702167870886, 416.37454609372685, 418.29958581243847, 420.12695389701719, 420.24320513535508, 420.92405867175194, 421.66444881745247, 422.30956177149267, 423.369073614115, 423.45065941060955, 423.87342317926255, 425.34755946013792, 425.99824852927668, 426.60023384011043, 427.27589894768829, 427.32846882076149, 427.61394656367338, 430.04884131060908, 431.72482060325405, 431.93796624298818, 432.86744955686589, 433.18737402250758, 434.33509156493233, 434.43615335553659, 435.67154163572098, 437.53752649646253, 440.53411215037733, 441.27750653104755, 443.31518720334043, 443.96906779521731, 447.75602266755971, 449.79252010437261, 450.8678838653334, 452.48203753529566, 453.03147297527545, 454.58936269636848, 458.08169661051437, 459.07926804137816, 460.08385724296164, 461.55203762649757, 462.27061103785928, 462.29774015429223, 463.48353468542928, 464.40007342138881, 464.43904992590672, 466.02502701299466, 466.96996733196249, 467.23303556127871, 467.57181421070771, 469.36669969928334, 472.50859215163825, 472.7643241608007, 474.16801398615593, 474.67775416667155, 475.40993322133681, 475.96916693809783, 476.25261095236431, 476.89570613219075, 480.03982082810023, 481.18482902393418, 481.94862432148858, 484.20895728815896, 484.46019016328353, 486.17098439671071, 488.61633115954857, 489.79275446972133, 490.70810643768095, 490.91106882984923, 492.88411433648065, 493.24316563783935, 495.84805975457755, 496.46940263657734, 496.62367906201604, 496.99835102329803, 497.32426234841182, 499.39513683313641, 500.34297245395004, 501.26746597238974, 503.36929555518327, 503.50218163095906, 504.12139834656898, 504.29785139492566, 506.99715696617784, 507.08101955999581, 508.57919911778913, 509.12590745684048, 510.20189118879148, 510.26086939195534, 510.78689658242109, 510.985535622638, 511.30350161491788, 511.80110132842356, 512.40762662301154, 513.50359593429084, 514.39033297195294, 514.7809849976893, 515.61608584894213, 515.84311941520684, 520.07090243826508, 522.80423695850982, 524.31032784040508, 524.70581353082389, 524.78046829005973, 525.19390474105205, 525.87971538938086, 526.00333344146406, 527.15649335938645, 527.4985883865952, 528.36353522507966, 528.52303169732374, 528.99532589608395, 529.4182772878969, 529.53439924908832, 531.45546979114192, 532.40477803049794, 532.6568031544823, 533.78697265583219, 534.09853687511725, 535.65371111436446, 539.3877587149525, 540.05370173192296, 542.04732192834342, 542.94374252222065, 543.14475324641239, 544.6424827323018, 546.31980894762842, 547.72263490821695, 548.33116613397272, 550.45699267293662, 550.50922549247343, 551.27833476449996, 552.23275825242661, 552.7250445426339, 553.2415443087657, 553.32445191990678, 554.27968642399742, 555.37146364098408, 558.14944813562488, 559.66690749152121, 560.35348158641273, 560.53382128991609, 561.41442546126655, 561.47593158876873, 561.68471624860035, 562.43703474489291, 563.03569657326, 564.05459448163924, 568.72947082454755, 568.90694074914188, 569.03076113998486, 570.44055570504338, 571.36289326207066, 571.97172248725371, 572.12865476640798, 572.45540517150209, 572.49448878462726, 573.44377282506514, 573.49323591548034, 574.20876168011205, 576.68393159559412, 576.9272095629492, 578.35605196596782, 580.22276950335436, 583.09434410646656, 583.87541651743277, 584.07514920132633, 586.60540155156991, 586.83365728969136, 588.06145977546748, 588.48205266320406, 588.99330354303356, 593.32796786950382, 593.37344886909864, 595.8229416975787, 595.95158017731444, 598.40054275599425, 598.74954366327404, 598.78854744694843, 598.90109640489902, 601.15612388669274, 602.46920551156472, 605.11018822908977, 605.39373443233296, 607.22585498467697, 607.24862779148202, 607.96573766560584, 611.50584522261465, 611.97338936851065, 612.58370392714664, 612.64029889038466, 613.38948491080237, 614.96342584856097, 615.15486185481132, 615.26436551818233, 615.31122768640193, 620.27226725719891, 621.60330269075371, 621.63530988358673, 622.50750425943022, 622.61007849048451, 623.74696616120775, 624.05200977631864, 624.32863002157785, 626.2447878511723, 626.28627397530568, 626.59241533728641, 630.76279620921298, 634.33409297938636, 634.37632402875067, 634.73196119635338, 634.83044383658819, 634.95050887945706, 634.9777488644977, 635.47380569730524, 637.56316520573944, 640.84742791088752, 641.12573484433972, 641.63742846132754, 641.87364147101187, 644.80441864975467, 644.83978064990833, 646.50948517220058, 646.97806418509083, 649.2190447259253, 650.73644102926596, 650.86052181705418, 651.5141807686324, 653.13350712015165, 653.50739651947765, 654.57122030886501, 654.81517920219346, 654.92078871265562, 655.09776941847633, 656.38892897009032, 657.39654044158112, 657.57245092579615, 657.9413563757297, 658.86090927686212, 659.01331184055471, 659.21863668679612, 660.72762428466604, 661.44071456208803, 661.61117797267889, 662.28240738200896, 662.51535995700885, 665.91811770540232, 666.33156521035608, 667.46892879328311, 667.9612854432952, 669.09002056999111, 670.25630448145535, 670.41079422316318, 670.64668229354049, 671.79779197605706, 671.98815976913033, 672.14985568980615, 672.65852515295103, 672.75926194120348, 673.10331370008271, 674.36514833455681, 675.61181084933276, 676.73156467674391, 681.15399294919177, 681.97603675768539, 682.51730708940204, 683.79078430255834, 685.27746141474574, 685.97720690516735, 686.32059574813263, 686.38502314397886, 687.77027362505078, 687.90500231055387, 691.4461727043481, 691.51634986181705, 691.71298413580939, 692.14243262001355, 694.43601319902848, 699.13823811776979, 699.4359087763288, 699.66996079755131, 700.42433538475768, 702.81552439242273, 705.16024349486156, 705.4130376582383, 706.73743216002026, 708.47752370798412, 709.60868660684457, 709.85954251393571, 710.10652166000227, 711.03871204136044, 711.89650255362687, 711.91685937222996, 712.75063512235056, 713.0133209279237, 713.26457289615144, 715.98644787221929, 716.27236759811672, 716.8071869422364, 720.21439962316845, 721.64063764193895, 721.81014915203411, 727.56118471833406, 727.97160524550213, 728.07987859605225, 730.50785480167485, 731.07609808192024, 733.92923388979443, 734.3638555518155, 739.04665053782253, 739.73095080060978, 739.88633806596101, 740.79694805076247, 741.34706769277261, 742.78510970962679, 743.37192918717437, 743.85204528197858, 743.9677419557712, 744.22294015413877, 744.3618235321029, 745.8399953129707, 747.8012545362343, 748.16827740743668, 749.26777848920528, 749.65069866478825, 750.14422602419779, 750.62352290262857, 751.30825225858496, 751.60843947774254, 752.3080145202033, 753.60068353963914, 755.06519923933195, 755.47162005787868, 756.1865613674214, 756.21348398139037, 756.52007906575466, 757.0336338104662, 758.06379691218854, 760.7636756956756, 760.96634152791626, 761.16020494041436, 761.39635310237588, 762.18064132215954, 763.53046342151902, 765.58876189025136, 766.64424667009803, 767.00318295242096, 767.36612211708291, 767.39799255366631, 767.6685253346302, 768.25297058535011, 768.6270563975437, 770.48184218918846, 772.33376175567366, 774.49403345176484, 774.58958708773514, 775.33631987144383, 776.44707810859688, 776.5922449290523, 777.48826788043561, 778.82590862343034, 779.2956593530082, 779.7178193076353, 781.46007356971313, 784.06501750470852, 785.50882055701879, 785.83101259613284, 786.42814200349312, 787.26430114203663, 791.16316355178901, 792.8056129325455, 792.82990224533569, 792.95400287800237, 793.48204268586153, 795.39357034689465, 799.64092957658124, 800.85130760760364, 801.4354686729572, 801.70935491356306, 804.18620466969423, 805.70388546101287, 808.23678391712838, 808.78806654708751, 810.67133633472429, 810.7314313908679, 811.13341520691517, 811.73894491463761, 813.32377261022657, 813.98941955964426, 817.57362691967023, 817.6582250403269, 821.50967836494783, 821.59090925854775, 823.31488485128705, 824.20871666001767, 825.22810505983875, 825.65063851071295, 827.97835817548639, 828.74716731210162, 829.75666737334677, 830.65929412437424, 831.90571593130437, 834.15251868744451, 837.09406949698985, 837.39333271628186, 838.50792704265734, 840.18882717074916, 841.46285202838362, 842.09964560363744, 842.79919636809916, 843.80958869935807, 844.44165971626717, 845.26864920535888, 845.5303910629649, 846.40822292848895, 847.27759692248731, 847.41593908934374, 847.76137266271041, 848.25687871386697, 849.20336370439293, 850.93963163023432, 853.50269735627899, 854.27040430178556, 855.56380476182505, 856.1154164615441, 856.9516607985405, 857.34867149585614, 858.78685093798254, 859.98276183522091, 860.2866852555361, 860.53968133192473, 862.49500563154811, 863.93652710266838, 864.51089378500683, 865.17093656403006, 865.3915829042428, 866.84226869182874, 867.21109958666113, 869.81837738092531, 870.03846135324966, 870.36543901244704, 871.53557313301144, 872.91779860830854, 873.01109946650843, 874.12518913287249, 874.66850198314535, 874.80898414497494, 877.06447948784648, 877.464234666023, 878.94754006198127, 879.97572428204103, 880.55533933032029, 880.77498784902707, 883.91688041399038, 884.7438021936747, 884.99169696055731, 886.07599687734455, 886.24446821840797, 886.59510637668029, 888.09958112101344, 895.12564680694504, 895.83790147247532, 896.61975565474199, 897.42058917463191, 900.58047029848217, 901.64006044130952, 902.09186730749104, 906.40895872007241, 906.90494970711438, 907.33494953643935, 907.35604451417942, 907.95399884224446, 908.32573339954774, 909.75913275176765, 910.61980065230182, 910.79278305292144, 912.96392529042703, 913.06283285863367, 914.33240308464417, 914.81806701222945, 915.4763308515262, 915.99897933011971, 916.26204590918223, 918.56963529362361, 919.17138534306912, 919.69961801383545, 919.81251832795203, 920.0947763531392, 920.50872058952473, 920.59313914318489, 921.02582091250315, 922.16871579636586, 923.33051756007819, 923.74490703110962, 924.21177718192268, 924.29413758033479, 925.11819834956873, 925.45414699290393, 926.17687095424003, 926.55033782526596, 926.96712759541526, 928.16706266949825, 929.64525656448052, 930.02525802693526, 930.20002146832371, 931.83985446251495, 933.93465476488257, 934.53306203714408, 934.92943769509748, 935.67670911092432, 935.95636786362422, 936.49388788286205, 936.91861364088959, 937.90597061761378, 938.4300571133416, 938.88757646165993, 940.06059333184101, 943.20412546324212, 943.4151605841306, 943.54240826324826, 944.16114511653916, 945.13673643119012, 945.47367555349899, 945.76168097049583, 949.43414150577257, 949.53340127953561, 949.67131603152609, 951.01733799902581, 951.5281033580369, 958.02065342002322, 958.17688187467718, 959.10948923021203, 959.82511303010244, 960.25840373554615, 961.55285459433719, 961.71247763592339, 962.57142837967274, 963.02720186276031, 964.99782370975777, 966.04036689618613, 966.09804248321632, 966.50925719543852, 967.28739647022212, 967.39942972366305, 968.80070252470125, 969.06878633075905, 969.80512386115981, 970.27258523004639, 970.54066824131166, 973.84515083899782, 974.60365462535879, 974.91069910494912, 975.19639241434231, 976.84589875289896, 977.96568742118552, 979.21384056739885, 981.57585777231304, 982.89648974108468, 984.58283906484382, 985.03027173082717, 985.89070493333463, 985.95610046678769, 986.42075850796459, 987.68692394747154, 988.03132729257379, 990.09130050581234, 990.89009746415206, 990.93490839539459, 993.27912120129065, 993.33127669156022, 993.61796138387911, 995.52916278913403, 997.27570494556051, 998.07195013763169, 998.4605971693652, 998.8600649473417, 1001.9651993083911]),array([57.891271194680115, 59.006380874772638, 59.063313429663054, 59.831457321486639, 59.909447691460137, 62.049801314022517, 62.987145472039323, 64.576893842314689, 64.737208516914251, 65.266006317747852, 65.452970810546105, 68.728730752715364, 68.968949985797607, 69.20847392040551, 71.249582093989559, 72.442720216903254, 74.059402285986138, 74.27800826403373, 75.989705284216384, 78.812793773949863, 80.975195490672732, 81.766508522629934, 82.664219607825416, 82.972605913990051, 86.38854879696575, 87.8931728645329, 89.982741240453407, 90.61750598583393, 91.628109980315003, 91.805211528422817, 93.108566085195719, 95.163906782943755, 95.184776949888899, 95.718508915549236, 96.608221751094774, 96.859328926389068, 98.698967470053631, 98.769655514712682, 99.2054976268155, 100.86038785486522, 103.98161754487394, 104.31266713840579, 105.04606503737526, 107.27903271907046, 107.81531690410438, 109.39094855030278, 109.68231454986061, 109.78184612396281, 111.65824889170203, 111.92010052583517, 113.35725003184069, 113.91630252703327, 115.47866923004732, 115.69917530631736, 115.77392937313566, 116.88532617265251, 117.03497707048543, 118.32596986956898, 118.36313147822212, 118.51361249743996, 118.948168678052, 121.39536393494883, 121.7256018811908, 122.79269419643141, 123.59863182271491, 123.67786341016478, 124.01876164754056, 124.17058039107896, 125.34693920485739, 126.99432340772258, 127.69753571786255, 128.92925715885562, 129.50591804767265, 129.6649168715883, 130.342776201188, 131.44686582825165, 132.24422605381966, 132.73373870517884, 133.51045978864053, 135.29014246252081, 138.32546552209527, 140.36209916106171, 140.74154463263017, 142.44631894556079, 143.18603974227199, 143.54554472215949, 143.86971896747892, 144.81581615094359, 146.63277251223047, 147.64910279378367, 148.10493976298662, 149.09996546202512, 149.36276331427374, 149.51390501480054, 149.97480699823998, 150.9926879916452, 152.57324672351854, 153.74238197899987, 154.82436741301754, 155.50405636117554, 157.5512555778916, 157.79928704377681, 157.90742472737381, 160.24145586611223, 161.46508175028512, 164.65671579419623, 164.78262617673795, 165.24507660201073, 165.40126087101441, 166.25970293177679, 166.42221102246785, 168.3424892410857, 168.39247389276346, 169.22931507195477, 169.87471096328329, 171.52754628451149, 172.05775693799674, 174.06694189014388, 176.00432086425829, 176.43331985296584, 176.57368376606195, 177.42184409856125, 177.69576972688401, 177.83995871333198, 178.95328282622907, 180.24515252344236, 182.79808576328463, 182.87641709409695, 183.40472318172789, 183.73071594208039, 184.11828893337821, 184.35278308633994, 184.42597097276968, 185.98661738189492, 186.97911310784838, 189.57985415815719, 190.24314881661647, 190.32270491753974, 191.48700764262381, 192.43778536500804, 194.95264005948516, 195.15149464532007, 197.27604696769254, 197.76753025961719, 200.34095482065422, 200.45643153859001, 202.36985182809696, 202.70747683248507, 203.52427451628472, 205.83977577111665, 206.30705751454602, 206.60998006518525, 207.20800635464974, 210.27709359375666, 211.01059685446529, 211.66967901691447, 212.68296591669832, 213.57851073006267, 214.25385902953533, 215.91502569456483, 217.68879490000589, 218.5675629436746, 218.79234775931195, 219.94906752237262, 220.39870130988447, 220.98253313823176, 221.16157021001516, 222.59082826606775, 224.02618002638411, 224.05395370378019, 225.25202775619655, 226.49602326904792, 227.77285155218252, 228.73835510860448, 229.93206650277983, 230.60374067847013, 232.28855181823491, 232.89981032834316, 233.43324062392944, 239.87161953042678, 239.89853383514799, 240.4504972937394, 243.05414461975366, 247.44183778135081, 247.94118239330788, 248.01945111336977, 249.35275480560355, 250.10033928416223, 251.73318913178369, 252.2129317400163, 252.28207095799317, 252.49677176972008, 252.57417747710087, 253.41390152937433, 254.07732335045679, 255.88919444240284, 256.14398885399874, 256.99556054222143, 257.17008955590433, 257.69229314136061, 257.83696638709904, 257.93219576923161, 259.09633225513249, 259.9887472464377, 260.78078198640344, 261.56053955934226, 263.12608983503952, 264.14609908125453, 265.22801635320604, 266.05678434895464, 267.10180835916231, 267.73288189904463, 267.95867284773016, 268.43460743855366, 269.02027993818763, 269.45787931393892, 270.7317378599779, 271.95528896977356, 273.81922547067342, 275.20279164280163, 276.21131544649757, 276.89741792600131, 277.56625213876703, 278.39645747238376, 280.37149857227701, 280.57644032696453, 281.13854634032117, 281.23810360119802, 281.27106244370765, 282.28844855260138, 282.42712549530808, 282.90310559443225, 283.93652654987778, 284.88309463308849, 287.18806225927881, 288.16348428401022, 290.03698888391057, 290.53831814932238, 292.6453487135372, 292.97361343986802, 293.38749173283389, 294.7021674966137, 295.30679722179008, 295.54262441938232, 296.02081258459941, 296.87346085475428, 297.07485951207963, 298.47957514647567, 299.14926962523941, 299.96322962499272, 300.1158771864454, 300.44146774642138, 301.13770771088207, 302.26973575609992, 304.42819589069171, 304.64293083316721, 306.61066802846904, 307.57118105447421, 308.25925805495473, 308.83278410012838, 309.64787498139106, 312.58269420162196, 313.44948904251021, 313.71120015379807, 313.97396961281572, 316.74535042118907, 317.95062802767245, 318.04702313037308, 318.41898027118003, 318.82687347377777, 320.1826264200248, 320.8654935150858, 320.90397870892366, 321.77666558971782, 322.37799806859601, 323.03088426999471, 324.43192378893042, 325.0320546723417, 325.40446049240359, 326.27766212568673, 328.44172081248684, 330.95572812785372, 331.6462428821049, 332.25274052503079, 333.18535284003349, 334.83028652202489, 335.13875520648872, 339.60549209408839, 340.23780031225266, 340.37412770639901, 340.53672819902818, 341.70296422871877, 343.9233515344738, 344.01834913776963, 346.06794160813598, 346.78159031016725, 347.16725795911259, 347.9588030934915, 348.81797010144942, 349.4959810037779, 349.84913507168096, 350.37148673186113, 352.1606576664505, 354.05090116457484, 355.35794779817621, 355.50200726622654, 355.67997007678292, 356.55172814340085, 358.27894706839396, 358.46130987668408, 359.37833345471461, 360.42196210593659, 360.55936031965035, 361.14643085099476, 361.77144180439592, 362.18330052124224, 363.67676876430846, 363.75008985570292, 364.70133015962239, 367.03067082979322, 367.08094838803743, 370.64553858722979, 372.15428666982859, 373.3476808860014, 377.1239181540858, 379.56320444028142, 379.59004979702462, 380.3102926345299, 380.61849427050265, 381.44928147810015, 382.94220607118416, 384.47349031217414, 386.38273288659241, 386.84906853246054, 387.40383082187577, 389.12901345763106, 389.6963161594727, 390.1274533023431, 391.48866927100607, 393.10714132649667, 394.64051132027549, 394.99060401536974, 395.70514956300207, 395.85713948393095, 397.14794953004395, 400.08745201537897, 401.29046081137164, 401.93743385027568, 402.25529889761685, 402.3267216366944, 402.63665045833926, 406.33618506338797, 407.628391911145, 407.6791102359137, 411.0338807000183, 412.8443025974729, 412.92787129384925, 416.01316171098745, 416.18702576979263, 416.29027237751535, 416.34012654386964, 417.71529486735659, 417.74138538511795, 418.54695637445138, 419.44956614488223, 419.50712041978477, 419.87580941776724, 420.66551432237617, 420.94835774581594, 421.80899481255261, 422.86722151281379, 423.15772982192027, 423.58118312487733, 423.87479671536937, 424.17081114633766, 424.73223227769728, 424.97411262453664, 425.39733975914527, 426.0158993129711, 427.03664519206859, 427.48915214589863, 428.14419609000447, 429.44483696585814, 429.58465349635486, 430.0474931625327, 431.97469914203464, 432.43989999135204, 432.55349395772453, 433.42802167156896, 433.93094532049861, 434.25560156476047, 435.23261565810429, 435.77956955403374, 436.21645861776904, 436.65910298369988, 436.70701507228404, 439.27219198814163, 439.35467489087728, 439.83314232508127, 440.19318828978953, 440.22936852825472, 442.45149653347335, 443.91643529693181, 444.04962001901777, 445.11881890918585, 446.86890370962141, 449.01501964715021, 449.27281848879824, 449.41749063571319, 453.09909742912367, 453.75054937399585, 454.28893604544737, 454.72641063066408, 456.11588559554968, 457.24332713215699, 459.3240109906489, 460.64568824192116, 463.29031514386861, 464.89273607225243, 464.92139396741408, 465.58765563401784, 465.86945240034953, 467.40510010639684, 467.46703820346136, 467.64399851996319, 469.42431188176045, 471.40213775169758, 473.88075176781985, 474.13184733339904, 474.19597964982859, 475.76720480196576, 476.86629491886401, 477.29935770730299, 478.41895395633497, 479.31424503261564, 479.66693495980297, 480.17845418546716, 480.50873676032114, 481.27579828767858, 481.48434060651897, 483.40257689346686, 485.22472365625259, 485.31276347075294, 487.01365776180722, 489.76904805557945, 491.39813521658675, 491.81883788813747, 492.49386704212412, 492.95649655036993, 494.24839003317737, 494.3741018176911, 496.84857341745192, 498.40050235847525, 500.68909469684786, 501.70736865693215, 501.75451799726397, 503.27712769986414, 505.7441955711538, 505.9741427598176, 506.84087883520044, 506.93124862213892, 508.5038467291829, 508.68627782971117, 508.89804650745549, 509.6515799415389, 509.69380729149293, 509.86699313785425, 511.76867843432723, 513.0233992190532, 514.30127881329304, 515.44415141985144, 516.92525715804766, 517.10222271507178, 517.19325641359899, 519.18191817249146, 519.34294543779106, 521.30980507231868, 521.92778539401024, 522.02518845179736, 522.13180194634856, 524.22808129481814, 524.65693253387417, 528.47283106810107, 529.1494866566153, 530.12308200443374, 532.9031361719907, 534.22909733059078, 534.39564565695105, 535.99155262869817, 539.59806529239245, 541.33859372876418, 541.41575522967594, 541.52257086269412, 542.00109095813514, 542.95846398890956, 544.55112178152774, 544.94889806993319, 545.62945925844849, 546.21870991873197, 546.74580934637288, 552.71848889181388, 555.16957929685861, 555.43825928122817, 556.64067001648937, 557.81573724985719, 559.00318254586705, 559.94436835815475, 560.53258168777018, 561.54142546001037, 562.59956162234164, 563.90975312812748, 564.6315750863339, 564.75732791969813, 564.98362873981046, 565.09380615161956, 567.73457063774015, 567.79326549741711, 568.47474554500172, 570.24532327841757, 570.7882917250771, 571.68327571924851, 572.02709640831233, 572.58189427347975, 572.76298516833174, 573.56563393976239, 573.82875035952134, 574.16610628979765, 575.27419303572356, 577.54475976456456, 577.63950284319674, 577.81678669970643, 577.83730626631188, 578.68531689293229, 579.75314376034294, 581.34579896872299, 582.18188991092586, 584.18086536999442, 584.76664150421652, 589.07358830967985, 589.14878231596879, 590.41273231279581, 590.5104051953864, 590.96065495440519, 592.23110092993807, 597.08918199935579, 598.26758617586461, 598.63399033115411, 600.54898745358491, 601.37370684608527, 602.11879021979189, 604.70002025086717, 606.00177473744691, 607.30350763094691, 607.54479509041334, 608.32955258438915, 608.847616708391, 610.21393337157872, 610.37679156545619, 611.09485667269769, 611.16996909828447, 611.94438884701231, 612.01749583934645, 612.80120897899917, 613.0788011839187, 613.36554185678585, 613.43544457687915, 613.84132915013072, 615.29999817080193, 615.59896600950276, 620.04741373948536, 620.33363255429947, 622.90191577421513, 623.13482783467612, 627.78258749897702, 629.12847619379647, 629.32309801766758, 629.68016890382819, 631.97175096767171, 632.90174581559438, 635.82697758473557, 637.0004217783146, 637.13567450704352, 637.20970367276902, 637.9367510001224, 639.49459352407484, 639.55036143436541, 640.14148962327965, 640.7520820545617, 641.96538073089835, 642.40475945662672, 643.74272514980339, 646.97030883452055, 647.83154207144253, 648.54750236779739, 650.28622985679874, 651.56372752883146, 652.76671961125044, 652.78961475484266, 654.7894651807436, 658.12603046575748, 658.63278096572913, 661.39570507239375, 662.06977874066126, 662.10030585095001, 663.53219411342775, 664.54005064781995, 664.6671790448313, 665.26633859893275, 666.75423574682657, 666.83674596722176, 666.90241923392205, 669.46715604983331, 671.03856286265466, 671.22451808331232, 671.60260857902074, 671.79963786744383, 672.11428104674576, 672.6596196437456, 675.55562491968544, 678.59394024960113, 678.694878941056, 680.59598798310105, 681.25361373157102, 683.70728897945764, 684.46723162972251, 685.35759079199704, 686.25375767134358, 686.7643722739499, 688.20041785822821, 688.8345156396108, 689.38742691204516, 689.79765695749654, 689.97340336670129, 690.28715341412101, 690.87090128405885, 692.50204441851918, 694.38258129434939, 695.18861045343954, 695.9154783175187, 698.23565264484887, 699.50465520470902, 699.67293815061419, 700.99902698218352, 701.63283387707827, 701.71306268056821, 701.88549773106615, 702.68028366719284, 702.81054913848288, 702.95623194185509, 704.89293727255608, 706.1606432744677, 707.68725239871753, 708.76670876918513, 708.80822286742409, 709.05050807768316, 710.11761742693682, 710.25959817861292, 711.19303281948009, 712.20219129705686, 713.71968411725629, 714.1373907358045, 715.13536139488474, 717.32698858337415, 717.6702364935577, 718.05064224257694, 718.12723907101406, 718.35360899446732, 718.40047397210503, 718.99984679511851, 719.58772698460746, 720.12451958177667, 720.53130508984987, 721.32918347392683, 721.68396914464688, 724.16131834906309, 725.17922752776462, 725.27479575427947, 726.2442605338897, 726.44199353997453, 726.49304830087033, 727.22919673737431, 727.37205386000664, 728.03820346694977, 729.09650382612654, 730.2072624079492, 731.56048353011238, 733.41448147140954, 735.91449678061815, 737.52105753531953, 737.70624485240171, 739.19977241107551, 741.18023430034191, 742.18654110849843, 742.23495028752643, 742.44848590455388, 742.79623795330747, 744.36603732603601, 745.65736876333153, 745.8420541283491, 746.54691414628599, 747.21803578197375, 747.75888409302229, 748.00400080132624, 748.12956406481942, 748.59155629612235, 748.73222997825349, 749.39723400611172, 749.60005121238783, 749.78879643414496, 750.90640492907164, 753.44732386846692, 754.61372372931589, 755.05641211973716, 755.41995838612377, 755.49529392506895, 755.94165952318906, 756.15821344401616, 760.64841939044391, 764.67067494715593, 765.18347632482096, 766.0197557584205, 766.93048606408593, 767.95338823414806, 771.84709110817471, 773.29304905319077, 774.13307859276813, 774.8549057207839, 775.11407401230815, 775.75814509546672, 776.04546394152192, 776.11614563011779, 776.97096709037351, 776.99866278921843, 778.34822460918315, 780.27082257110567, 780.49891046089601, 780.94141894951997, 781.29057647326715, 781.37937930303883, 781.93518121276156, 785.9946849736142, 787.13654643853238, 787.51671353784479, 788.74935762745633, 789.47266571130308, 789.6537505797811, 790.00239568551513, 790.20679915108337, 790.41479381497538, 792.36762325195059, 793.36301903188041, 795.21437147545794, 796.55368457061661, 796.89526466319091, 797.25441629385932, 797.38305076572806, 798.1313606113963, 799.22748482432155, 799.51986700042221, 800.21157708777616, 801.20531447849589, 802.04888856293974, 802.68972752248783, 804.66495391365777, 804.7924322124735, 805.48695924764752, 805.51218473254482, 805.77056006422447, 805.80531458216683, 806.25009011861198, 807.30626244486234, 807.69943667417306, 807.84163849349227, 809.09223464210982, 809.27490363905622, 811.49501513340488, 815.15499979106789, 815.2925387381091, 816.29543511901102, 817.70089779116472, 818.0868576202239, 818.38682371853849, 818.63533921101032, 818.70288801476931, 821.82331662637898, 824.68309330778482, 824.84010021671929, 825.73944348249722, 826.27436067212716, 826.61105735685442, 826.6511075826545, 830.44553381662058, 830.47784641702458, 832.45083142286762, 833.09465207836774, 835.03218271287574, 835.06256600543202, 835.11222235927005, 837.26276030597262, 838.71472831383289, 840.85761109091879, 841.04614512168484, 841.63523960407133, 842.35270468693898, 845.34678338519905, 845.60083537829223, 848.58187183210418, 849.39336989996866, 850.57893305271125, 852.40523309972968, 852.54566791839318, 852.9651558678479, 854.81332486920644, 857.40698567586082, 857.93217333583391, 858.2551458583082, 858.35222642185386, 858.44326933535319, 858.76184804584568, 859.70205769892311, 859.76040988929515, 859.89648368809821, 859.95891267781099, 860.40582747325402, 860.84122780459847, 862.07012181024606, 863.33689456955801, 864.76877768493171, 866.57547063636775, 866.9273010102338, 867.33485147832266, 869.31151913830502, 870.06002092073413, 870.43427780012576, 870.9972991359457, 871.42238319432875, 872.17753318349276, 873.01145160917849, 873.80365772421396, 874.92793900276183, 876.0519410108318, 878.02733151242467, 878.94262535937139, 879.60332005077066, 880.6011868599943, 882.69008378831666, 884.92584951889614, 885.13037629873054, 886.65427355617737, 887.60752661387357, 888.28392256049449, 888.597002590947, 889.14693227269277, 891.73958863704684, 894.21635740719478, 894.90362191635199, 895.41549797256869, 896.5677713670126, 897.33286625299161, 899.44956322130588, 899.76229121467111, 900.08800554841207, 900.7768240671827, 900.82047575077615, 902.06401380701755, 902.83212970952457, 902.97588111212826, 903.29062644928729, 903.85948249522198, 904.4757687803949, 905.59177698344558, 906.33076669358445, 907.06117281500951, 907.51214127824971, 907.58730503855418, 910.12573970029473, 910.28700812619843, 910.57779356010417, 910.92711478790102, 912.32766255620163, 912.69733142528344, 913.12745660553992, 915.44816259684558, 915.79460251800788, 917.39306671836016, 917.53102989537729, 918.48183676067379, 921.64377015164041, 923.7450143023683, 923.91234673398446, 924.76058476951118, 926.58540352167893, 927.426632837341, 927.56456288119386, 928.44829411243541, 929.46956556067551, 930.81351177032764, 931.18906704788094, 931.46809461405746, 931.74325342442637, 932.29001700186689, 932.74672735255422, 934.41173782212104, 935.3623542662632, 935.40810116255045, 936.04078563484325, 936.56357981764677, 942.09777177251385, 943.21493054940572, 944.28700544611979, 944.37930824785133, 944.7446800547815, 945.17098470510598, 945.57502375852573, 947.08428626565853, 948.84294711576615, 948.86907665519368, 949.67162124392064, 952.41475441025113, 952.89273577398262, 953.89674629652961, 955.22372187926999, 955.26298027821815, 957.04524269946603, 957.3621469292583, 958.56470047373068, 960.24698781088034, 960.48536074465062, 961.21753452727887, 964.53191693481961, 965.02689176778347, 965.92659070159527, 966.72312429231613, 967.69290628802571, 968.50867553313503, 968.54041088984877, 968.84287231191456, 969.40360302538693, 970.52433206402031, 971.62569417883537, 972.0209812818174, 973.3919392204001, 974.55096270301556, 977.53018884711048, 977.59657407622251, 977.85408960119753, 977.93368953230436, 978.45184454294349, 979.2456092509284, 981.50147690349593, 983.54776134398185, 985.68865716312075, 986.17727496645182, 986.21584485388394, 986.31061580063601, 988.10969311591498, 989.08745058773036, 989.29034627530609, 989.95677982289692, 991.58831404782734, 991.75229559105162, 991.8290419787927, 992.32102508378875, 992.41750040804993, 994.17657964507669, 995.18518418053714, 996.4255760206006, 996.85134738332476, 998.4575174223861, 998.88243861532965, 1002.2350391777318]),array([99.878855149455887, 103.76047014540889, 104.47729579486689, 109.59638734527759, 109.94135741873467, 110.20513439261414, 110.99825166155834, 111.3860038111962, 112.52124284402537, 112.63295606548354, 114.9806781313558, 116.51589726994378, 117.93110110618119, 118.11772316311009, 119.61668031179185, 119.88373090151147, 120.49342694192285, 120.54327049945542, 120.93833052474469, 121.69264873222167, 122.26362512553654, 122.94098182571075, 123.57849027902002, 123.71257719170386, 125.94566763177704, 126.87526439873622, 127.64254787311759, 127.92204565950874, 128.76012232112936, 128.90529480598164, 129.62910704637747, 130.64073058583475, 131.36142957341718, 131.85087862930948, 133.97677602516154, 134.83205078633014, 134.8893439300777, 136.06737536054837, 139.57077740675635, 140.11525250537431, 140.92343748274536, 141.03253957323341, 141.50850510474766, 143.44657242451936, 144.92348728966775, 145.38518232593967, 146.85121085670508, 147.61713722235206, 149.09668096985752, 149.20315938541981, 149.39596130768192, 151.28190876147144, 151.90019135668547, 152.06921181067472, 153.27234493951144, 154.64213685495574, 155.19742613402283, 157.97874765390748, 158.25323218785249, 158.74834467453755, 159.16521540766516, 160.99143908342057, 161.03678416147744, 162.92107161559656, 164.27504462874415, 165.7351471429194, 166.91636152639742, 167.33849524690604, 167.6225932865708, 168.08168098753967, 172.15245341442471, 173.56361551223165, 176.18791573054045, 176.43188323818848, 177.07065904022346, 177.17236242969872, 177.39467511097766, 177.59815939625031, 178.23958461848605, 178.60840426861051, 179.65642525400955, 179.79205490804281, 180.06555735361232, 180.7625825458976, 181.82520752855822, 182.05144317985932, 182.6167226329332, 182.65871174356496, 184.49801802188719, 185.4481217019655, 185.85069283786271, 186.44305095027727, 186.48993757163143, 188.97943834475771, 189.07393805622601, 189.2078827934167, 189.44839631746916, 191.18614406695599, 191.57224059940026, 191.64021410201659, 193.35030435568359, 194.00615229942414, 198.93251544146713, 200.41762208434159, 201.83989159764263, 202.36766294537429, 203.37025941219409, 204.77440176615846, 205.32107664317883, 205.35092924621921, 206.57710092005078, 206.82854667854087, 207.42609693302856, 209.28712889412958, 209.42240024377216, 210.00251791129557, 210.13687863039775, 210.89746969662463, 211.06680179440187, 211.90161479880845, 212.86477502359867, 213.73506094194778, 215.53699903000057, 215.60950179741829, 215.80694089119726, 216.11374327292776, 216.5935084477419, 216.7889710164394, 219.61837257902633, 219.88107172505988, 220.31954016370369, 226.24578784354009, 226.31974898217939, 226.5018200426849, 227.56405612705174, 228.17823685022546, 228.21961688296176, 228.64350889210502, 230.35288754148701, 231.36010347621371, 231.72224399624821, 233.41260425002784, 234.18388859821431, 234.30591537186476, 234.33079526046728, 235.49231458314634, 236.88267004346957, 237.21729989814975, 237.45153684172473, 238.11962615445023, 238.57955527048333, 240.12910670855007, 240.6801205173077, 240.722975298759, 243.19560010550842, 245.06980901491681, 245.53554746903296, 247.09058522279071, 247.4825668870582, 248.84865848321101, 249.14993897702172, 250.41979495645836, 251.68173409159155, 253.04017645648923, 253.73493866379781, 254.36212853364788, 256.17109647263197, 256.99402023730681, 257.6538189717096, 258.91912172085875, 260.76899730041765, 263.50089312252481, 263.61992919077647, 264.94784920550734, 267.43756596767838, 272.74699926334392, 273.82283610627104, 277.16090102045109, 278.03592335056373, 278.12252532252961, 278.39638762357498, 278.43039401539625, 279.3769690365055, 279.55575580040369, 282.38185336721972, 282.54581996506204, 283.21924430630241, 284.00917577432637, 285.57343065410743, 285.88320979978096, 286.35278800651673, 286.40931359276982, 287.26943606862432, 288.55008171892138, 291.28352910536637, 291.46050943344915, 291.88587192588551, 292.52815947424489, 292.65023753269446, 293.28369199978675, 295.03993841237263, 295.26068360066591, 295.41415803084072, 295.56607034581691, 296.61207306326088, 296.99342130380484, 297.4499826503544, 298.56879333642206, 299.39176716805298, 299.44226367004751, 300.51338822606982, 301.05029207704985, 302.78956305948122, 303.67519019338198, 305.13128777168851, 305.37918978972124, 305.64586285284696, 307.84438467755348, 309.69800504641466, 310.00363000525198, 310.12239670022979, 311.86976862564347, 312.36635662745897, 312.67559417537899, 313.86580667037111, 314.94972406146007, 315.90929988313957, 318.14576554871388, 319.29571500322425, 320.71258649641271, 321.42225050317097, 322.07202424729655, 324.26802061628871, 324.30751125675704, 324.72155882178049, 325.07549354928398, 327.33142571641895, 327.77647890741417, 327.91819776508731, 329.61840036813891, 330.85304391372523, 331.04639350122545, 332.25604452285148, 332.40970927961092, 334.4256692303984, 336.31080495073041, 336.5427098703571, 337.75651783489354, 339.86845646559107, 340.93867877877699, 343.79865733692225, 345.57129488740412, 345.89396234782879, 346.21830466831989, 346.40204827802734, 346.7903500376982, 347.57891367430182, 348.35607035925699, 348.62757024051342, 349.11678607749775, 351.78670021115539, 352.237168340903, 356.14489482075726, 357.41281731534087, 357.65507485632975, 359.38260861080818, 360.38183408497463, 361.51712265400658, 362.61007201303431, 363.17113745693132, 363.35091253096914, 365.38438391910893, 365.52282035659977, 365.75575080991109, 365.94764728613825, 368.73004741108474, 369.12481309699859, 369.42118092344418, 370.22930999036691, 371.82946592085727, 374.61307895029557, 374.67015264470314, 374.76322465884431, 377.7582071996207, 379.09498013485813, 380.41708899014174, 382.90013638308272, 383.7311339302193, 383.89576619678405, 384.83937013609369, 385.01417333247849, 385.49851806885738, 387.03534067253105, 387.38324787666147, 388.13431791171365, 388.88240675172887, 389.3368296351893, 390.30981003982544, 391.05750639714159, 391.53283322073048, 393.28673882686485, 394.68150030478751, 395.78848260320103, 396.52311757181542, 398.9068142018541, 399.59185979045668, 400.60832492021507, 400.83582969922662, 401.16816233571234, 402.06650268892719, 402.74054671396527, 404.94131888662554, 405.90842370857445, 406.15769521561361, 408.14827458249476, 408.20615191323088, 409.08514325102726, 409.37911798212014, 409.54100235354611, 410.39667220656486, 410.5152032578348, 411.16526667316606, 412.94893835465695, 413.70308275201279, 416.58600669512822, 417.01789867204621, 417.5534323536246, 418.60825279653324, 421.55609323368066, 422.00754690613388, 422.29849623386303, 422.48494601586629, 423.15613645328102, 423.3554421237871, 427.37471349886283, 427.40865908476081, 428.05363147810948, 428.59124983413591, 428.9938249174952, 431.09895231238232, 432.08440679874388, 432.74558148892714, 432.77295808070454, 433.08353594710309, 436.60472692235697, 437.4321916002047, 438.03555556761796, 438.25565971254832, 441.15232421494221, 441.19416531695191, 441.84484448455134, 442.62900594375992, 442.70696822220771, 444.13051796348248, 444.44579133036416, 444.73783465122273, 446.24667769135129, 447.96988722892905, 449.26581808598019, 449.95142752213007, 450.24457688443414, 451.60784327613709, 451.82557320216489, 452.52550368686883, 453.52030813177782, 453.58139967925524, 454.37524114875089, 454.52843963481513, 455.86391932681516, 456.28956973319782, 456.38378251741625, 456.90063921807729, 457.26102247586618, 458.16435267831298, 460.11337888747522, 461.59301823011384, 462.38613074425825, 466.01926823513799, 466.3844333619798, 466.45999243018673, 466.86233751011156, 467.46059360265696, 467.70736820261214, 468.42099889433467, 468.70080881131167, 468.86744165935494, 470.39162824953007, 470.63053751593156, 471.43572955362339, 471.47978221396335, 472.70846607676953, 473.39779077723358, 473.57607501198362, 473.62942550237256, 474.37879218178654, 477.25132974795594, 478.85824300318484, 480.03184478824079, 485.56455357379366, 485.75140967290088, 486.71658491044803, 487.14078854276573, 487.93010049575986, 491.47212645213665, 493.05597387247144, 493.2608742526528, 493.76341976556557, 494.76239341055538, 497.08798643001364, 500.55529486440327, 501.17198404884999, 501.52498367535441, 501.70332921978559, 502.42303054607203, 503.34827671636651, 503.49357471906831, 505.24193899134934, 506.3012068070297, 506.99408801211649, 507.1679908807111, 507.1936751157981, 507.29962214509732, 507.34303343955952, 508.12657017385715, 508.30172708470178, 508.5532133271816, 509.7955975198135, 510.47133059146006, 511.2652679959906, 513.608565466144, 513.71196323291576, 514.13591739008859, 515.80485530700082, 516.8581544387248, 519.13776281246589, 519.3178965794217, 519.71653954644853, 521.00216525807002, 524.644983409102, 525.09197401773929, 527.78986372100701, 527.98764299851587, 528.29847386394454, 528.95245428535191, 529.71418687099572, 530.433750074209, 530.69946362001099, 532.93452327662942, 533.31473543244806, 533.77631893953162, 533.91595044262681, 534.35875587909095, 534.69398858208285, 538.68541011176342, 539.68653671082689, 539.87658001299667, 540.66047088928394, 540.80389221128235, 541.70608272657182, 543.09483705928665, 543.22130397541059, 546.02942329739267, 546.18289841706644, 546.87770334536026, 547.88752454105156, 548.02322065907583, 549.12244801536701, 549.35552928742391, 549.54623520709686, 549.78298824114518, 550.8850760039237, 552.94933199184175, 555.25150462930196, 557.18179175100306, 557.55638822688263, 558.00445171084209, 560.32744309999885, 562.50204314891062, 563.51377696551765, 564.69880165125926, 565.29058731365171, 565.35097726123774, 566.1645092912438, 566.46048151535842, 566.70399667678396, 567.27900340923395, 572.14835059397387, 572.62237393748671, 572.72325877725677, 573.37895023339058, 575.27022004753644, 575.2946836620838, 575.4315369903012, 575.60321558861131, 575.80079247984258, 576.07161117010753, 576.53945487083195, 577.86499574467564, 578.88691081604088, 578.96417513157792, 579.17646492468589, 579.60855342058824, 580.86949146476832, 582.3638074981227, 584.15308479267344, 585.68837030364512, 587.60933367043117, 587.83824232195025, 589.24282799939328, 589.87459733421042, 591.32730536460258, 591.41912903576326, 591.63125878631388, 593.70844866608752, 594.26507652202417, 594.4336936065846, 596.07743615969571, 597.35731964244587, 597.97659244987074, 600.44921399003101, 601.14185718983299, 602.76237280009673, 603.80956227094123, 606.11545557008344, 610.06480182968528, 610.49682809705951, 611.49644768059102, 613.17574905071524, 614.08409113910318, 616.00976733065227, 617.0890281767015, 617.71226702600086, 619.11690340141229, 619.157809173278, 619.66201749377694, 620.3420226027057, 622.78099702836175, 623.08082712541238, 624.35677869679523, 624.87437178948403, 625.84523907761877, 627.88873067385464, 628.94362524730479, 630.70410375985944, 631.21903589841145, 632.75443159822146, 633.25865237142921, 635.23872541059131, 635.60319421889938, 635.96800011379287, 636.35028386369117, 639.07195535858841, 643.34541457010107, 644.62497511629181, 645.98357846576425, 646.36384123070104, 647.07291616618284, 647.7931474823913, 648.12547683397486, 649.88269360145455, 650.25905229618093, 650.28265513743713, 652.26268582785235, 652.4142256549718, 652.690176724818, 653.99049779562904, 655.3522293358111, 655.79141700903415, 656.8178909664872, 658.09607393682518, 658.34676836873507, 659.44734869233457, 660.14399014853598, 660.49489256839831, 660.57504512080175, 661.2195665070451, 661.6003892241564, 661.98045181954751, 663.58574491812203, 665.87874580623986, 666.46310961004826, 667.24811773847352, 670.99193899978241, 671.15190401898781, 671.90578251814588, 672.08215400116558, 672.93425631532864, 673.38979436219449, 673.84232059867145, 673.94656576185741, 674.13034742256059, 674.74374136359506, 675.21564217401851, 676.29929719686174, 678.14920870811363, 678.30420183686931, 679.0830325872239, 680.13281766422153, 680.3535916994756, 682.5019649200384, 682.60312041088059, 684.60414434682264, 685.74160095535433, 686.56615352525455, 686.75714798937111, 686.99683063322914, 687.15195223922296, 688.32095169427134, 690.51208788948486, 693.14875993291821, 697.24387601480953, 701.92633045020318, 704.62239156250541, 708.26574618922973, 709.41472748866386, 709.70372377772344, 710.16689879322507, 710.82753898555848, 711.07768830617022, 711.1670539148173, 711.85792784006242, 712.35250635700606, 712.40998603706487, 714.3413509073655, 717.10072182069541, 719.31629605789544, 722.19183048976868, 722.25953792204916, 722.76141089611258, 722.87430533338716, 723.13437319948287, 724.3957756334828, 725.41851503554199, 727.94351829426444, 728.70935852770276, 729.74770148588254, 729.95045694136797, 731.20013620797351, 734.07056185010958, 734.34815002674611, 736.40841802869272, 737.77279154790972, 738.65464156028554, 739.37551198479991, 739.62331876494011, 740.2425660466065, 740.34186676687852, 740.86418696133433, 740.99187026459913, 741.06093148325169, 741.64658306657259, 742.08957298937651, 743.39537590681925, 744.61909738782037, 746.4074052157099, 747.5240377878132, 749.19695370525812, 753.3909630280483, 754.3843528280247, 758.44229325230822, 764.42405034172668, 764.59643888067808, 765.57624518115335, 765.73813861565725, 766.14376396748992, 766.35581688855848, 766.7776111478239, 766.81590434993166, 766.84717759490297, 767.19489232476337, 767.51002295087778, 768.2919050405128, 769.39330329773725, 772.89305744095998, 773.66095725614764, 774.68359365479068, 775.89578571708626, 776.32021370897382, 778.74174400516313, 778.83435301597126, 779.19979332579226, 780.47965783967572, 781.22401113421802, 781.97640259755281, 782.36818055989545, 786.38711222430993, 788.70967685855521, 789.35195964538104, 790.36030623506235, 791.99461256525262, 792.17569014222192, 793.18976153981509, 794.72796036071247, 795.01456468851575, 797.34278907934549, 797.50762192063894, 798.14434727959031, 799.06745926343388, 799.09429113033946, 800.79606984956968, 801.22439171858616, 801.33260829327128, 801.83378128376773, 802.0414166379594, 802.29837488781243, 802.44921261194395, 802.48913979638883, 802.73486613019702, 804.38783491834772, 804.79179911849826, 805.03705275887023, 805.23392420552045, 806.57132179034454, 808.4694997172121, 809.95836607275305, 811.04998776789978, 811.67057655929818, 812.41634153627149, 812.74476624208125, 814.4203760441394, 814.95988124932114, 816.85377228721961, 817.23179203174845, 818.97592222815922, 819.14741334020948, 819.54176176060537, 823.86406804054275, 825.35921676397709, 827.84155845050327, 828.60622129059982, 830.85631074407718, 831.76636407607157, 831.84754917704186, 834.02884415542451, 834.21022516570849, 836.75740594493038, 837.33931944596327, 837.96438812506574, 838.78087090569568, 838.90078246214284, 840.89439027106937, 841.39829689710837, 841.67013327843642, 841.95628263953245, 843.39134190882214, 844.95568476502103, 845.23395997636976, 845.31811243676998, 847.33981931253766, 848.53680258698046, 850.04635520996726, 851.11412035938633, 851.25249350134186, 851.47060376935281, 851.72863225491074, 853.42478953846933, 855.08186064730626, 858.07915305833251, 859.38595993426566, 860.69052571341967, 863.19191652159213, 866.09121681955264, 866.53699968866306, 870.2289888088784, 871.88194813502901, 873.98445629141338, 874.30764088993521, 874.59057530475138, 875.24640933434011, 877.43055377130736, 878.1900081685427, 878.38944858469677, 880.29878514188965, 880.51226010486175, 884.23928509683628, 884.92900760618954, 887.90460311858124, 890.94006712631892, 893.82279955650279, 894.50702095506779, 895.53426612494195, 897.5548224612802, 899.46823718725955, 899.66455301261749, 899.75036658115607, 900.26192449885832, 901.79481430973703, 903.73110484402139, 904.20734937052509, 904.23938490874411, 904.26183262101529, 905.73769386145023, 906.56998956187829, 907.01635574733757, 908.2575131573933, 908.3128294972538, 911.39072199324312, 911.50266012762711, 911.57689930610127, 911.91017438176232, 912.32699704722472, 912.79395928926829, 912.93362169702937, 913.58695333973753, 915.76650464669399, 916.4420745611485, 917.7542672889175, 918.3448966279592, 919.36021315404673, 919.90281379411022, 920.0481518878305, 920.47095383464875, 921.00086899598432, 924.27753772710707, 927.16067839840241, 927.18757123316266, 927.48878663786297, 927.68234249853663, 928.24687758219648, 928.64028445345059, 929.30708182746025, 929.57623650682376, 929.93598300824158, 929.97164349179775, 931.70800159997418, 932.38149662411388, 932.6617171948883, 934.65321869523598, 935.4535629814709, 936.45035551309252, 939.76685207769594, 939.82013591755992, 941.21929920247476, 942.08492523137534, 944.57795645117335, 945.13674980365863, 946.23817936902094, 946.38454456606541, 946.52607286779505, 947.12941488192644, 947.24613086189345, 948.61761754262852, 949.09690561670891, 949.79734533094347, 950.5168067682547, 953.36248250150686, 954.18541180132092, 955.4140708178669, 955.9948992224754, 956.31723492851427, 956.87345520424083, 959.66943243486742, 959.70712606320467, 960.38550771486871, 960.70136332536879, 962.35159567519554, 964.98261926748194, 965.41503336809558, 965.85608896317058, 967.55620220467949, 968.25337307403629, 968.38068081089204, 969.18940596753669, 969.93525884281564, 972.74679498827709, 974.27303808767863, 974.49752802415742, 974.90561693728932, 975.01835108636919, 976.81736069638771, 977.44233616591828, 977.8209393309005, 978.35940941083379, 980.4277918057453, 981.67113961094628, 982.24147445873314, 982.9538362102121, 984.78633907220001, 984.93312374019115, 985.15912475651589, 985.38841400585704, 986.01823456490968, 987.31598197214839, 989.03203370438553, 991.91295095009309, 992.59649278288111, 993.99177425788218, 994.06632242721014, 995.35000947401954, 995.52276671525794, 996.13748708529113, 996.1815740061819, 997.34882950264682, 997.57250390079366, 998.03524408217538, 999.36061471954247, 1000.0209894615908]),array([72.08897598391647, 73.361462195019257, 74.752604843161137, 74.935557024258443, 75.996517260948949, 76.043122339875879, 76.746689215233488, 78.762825125974842, 79.482964599669614, 80.532795292934964, 81.501732479437422, 82.345991865196879, 82.931744170792228, 85.446690666692874, 85.903136257195712, 88.008007647173031, 88.325929652778754, 89.854679118376112, 91.199891926595669, 93.267299291509502, 93.425958591729398, 99.128694961056084, 99.522093776740874, 101.02604339416948, 102.23914068517306, 102.65270660343593, 104.45957716345504, 104.56485147154324, 105.2247400843985, 105.5121923471182, 105.833273570521, 106.07891530842197, 106.91707832726593, 106.98153116770294, 107.95095734795309, 108.48165424192723, 108.93030710337139, 109.58196682500203, 109.85320336685844, 110.30550765797287, 114.30263877637725, 116.21770362667053, 117.73708631047185, 118.18134921194235, 120.17597057472516, 120.6443888912129, 123.3669772607531, 123.88582589796896, 125.69091174581074, 125.95065582578877, 126.30981779383585, 126.46523471091588, 127.98885113946547, 128.24224936446555, 129.40216879981062, 129.90723459539893, 130.05353845976103, 131.58017047320831, 131.64618598742589, 131.89308105130152, 132.55561825279426, 132.63020633461107, 134.26317880456875, 137.66165490904493, 139.48517943850973, 140.6769168420409, 140.73731557256937, 141.84478909488558, 142.64937550710698, 142.902620053372, 143.55470368967852, 144.02392179199185, 144.74961929356954, 145.96441724903201, 146.29303114632162, 146.49336119339216, 150.01599903949594, 150.63179433621951, 150.9613902955337, 153.86243795549032, 157.58774121767399, 157.91207800195482, 158.10055180517318, 158.71203838093663, 159.13009125286959, 159.23517045732487, 162.21641410366911, 163.73366435101502, 163.89188598341758, 164.11450427728366, 165.698329510288, 165.99191233949662, 167.09051263009707, 169.42411621988987, 169.69899585858374, 170.42468224071499, 171.52763076348623, 172.24426327582964, 175.07084549346126, 176.09615375844081, 176.32900824228088, 177.80562624038652, 178.03573894279847, 179.67805741659146, 181.75682256864684, 182.2638548056095, 182.99388287256212, 183.42719065833339, 184.61485128547088, 185.19456965297562, 185.22678164326112, 186.1593662050704, 186.1921553930076, 186.59817868220739, 188.16819192613485, 188.96644912924776, 189.89038769793879, 190.39731831413567, 191.20434922798094, 191.43657586672052, 192.53081391130743, 192.9127693720246, 195.56824896625676, 196.23492524255218, 196.87959576255142, 197.87044227089041, 198.26511188568909, 199.38012886082316, 199.9931638742803, 200.26674651814508, 200.73339465654152, 200.94112381965098, 201.19134866270002, 202.88155997791901, 203.58175957455137, 204.31273854730813, 204.40597294837116, 205.29622088377027, 205.41056614858144, 208.63140143303528, 209.36281802291219, 210.22265237325615, 210.30686776270011, 213.23568908190828, 213.86261503582529, 216.88166884468873, 217.45835169843471, 218.23325611946078, 220.46972101688053, 221.27320743746475, 222.17562951500349, 223.17029689263885, 223.45637757805966, 225.83793544469742, 227.23473214556233, 229.68589830719114, 229.7422850269048, 230.04093706399289, 230.62303969023364, 233.06236478383934, 233.65556712175859, 235.21873645408559, 235.45905960174323, 237.94406004922865, 238.37454722419636, 239.16554910812292, 239.40069019336303, 240.28057905849886, 241.80916856499593, 242.24064275037779, 242.8686335673778, 243.50297401756089, 244.78216501709559, 245.0065862731937, 246.10856618422744, 246.52124876974827, 246.8867528059846, 247.12490765911676, 248.46508196939706, 248.58977829192744, 249.80813025604812, 250.6492804935387, 252.07072377061186, 252.29823965536332, 253.21811490290924, 253.97273982322918, 254.07633874161382, 255.09280734519913, 255.31278005643526, 255.48395991070942, 256.31808410346025, 257.26318321750773, 257.93506084356147, 261.03604744361246, 261.25898468313085, 261.39205918840042, 261.56261507236354, 262.05330140799174, 263.1290885145911, 263.26899853752013, 263.75133055866615, 264.05290262785223, 264.36408082472309, 265.76859012504929, 266.53146853154016, 268.60653699490524, 268.76203818011248, 269.51759168089126, 269.74871443769041, 272.05567440508753, 272.55098820918698, 273.38286320660222, 274.47617774384474, 278.70382613862273, 279.93864909291614, 280.3166384597103, 280.78328993067583, 283.99106253374015, 284.83327771817909, 286.61153917326197, 289.17985022233609, 289.73968762476409, 290.20042293246235, 290.61710637947363, 292.13138746589783, 292.57045259195144, 293.54690223524932, 294.38311458950216, 294.49705906735352, 296.48644845008243, 296.86332142057728, 297.63299748499401, 297.92820377718931, 298.11962638362934, 299.67530467166591, 302.12998566056507, 303.35203552640729, 304.24889096566829, 304.7345633150602, 306.07567436019713, 306.64967571556144, 306.92742303825122, 308.42765161484266, 309.57216995994918, 309.78397087817325, 310.90683556971732, 311.48568329382528, 311.74363558730647, 311.92334797164006, 313.09535718750203, 313.12002278936143, 313.18559471914926, 313.93560413932272, 314.51972889397456, 315.3643538650295, 315.50149276558091, 316.4266221170169, 316.61462587846427, 317.53379801299013, 319.09164643125177, 319.24272372966811, 319.51903368002331, 320.15014799867492, 321.68600435957052, 321.87379937018011, 324.06689059038399, 324.16382416940644, 324.63113480037231, 324.75048890384397, 325.59486669015001, 327.53199418203519, 328.99423600065597, 329.16776124764226, 329.20088862970357, 329.52070792148828, 329.79139152843698, 329.86030564546792, 330.7185826587725, 331.12844419213536, 332.6464129472277, 333.16134505985985, 333.88348399487722, 334.9049131511901, 335.90470918004127, 336.78938882834677, 338.64718034289893, 339.67856507927092, 341.62211860581732, 342.010050429383, 342.20038781644485, 343.03324502976773, 344.06229659828267, 344.99622076111115, 345.79968839842394, 346.36156952506099, 347.77930629052128, 348.54208840546261, 350.70903282386359, 352.7147346715447, 355.12377344450999, 355.27251163927127, 355.63957219498042, 355.70417087873017, 355.80367722237656, 357.08915943375558, 359.34805314113726, 359.69652277067343, 359.84268415668276, 361.41034206691938, 362.70298053755755, 363.60181721072877, 365.3260630657233, 369.08259620178848, 369.36336608629165, 369.74484286210907, 369.99513719514573, 370.06037380387431, 371.73710127220698, 372.75366533621872, 373.21554303240686, 373.63777739512534, 375.15971620201202, 377.6555765440072, 377.9855855637428, 378.34498065623427, 379.40794739492736, 381.11651838975121, 382.02843570345937, 382.31043014805368, 383.80303973403664, 383.84586344298657, 384.96629936913814, 384.98671341023436, 385.25432710374724, 386.61351488517806, 387.44382376406071, 394.7434273888382, 395.27742320201634, 396.2892237772208, 398.67784201222082, 402.65849979228301, 402.78295286395723, 402.89031215847194, 404.64361237219555, 406.20625853952203, 407.25166949975272, 408.39566583235319, 409.27515651055791, 411.97621017900332, 412.28319417238475, 412.77688553515924, 413.0619040115846, 413.83051029945278, 415.61920144993388, 418.03380094886262, 418.1338931519191, 418.55574997851994, 418.89987795743059, 419.25244765230366, 420.82022812754042, 421.81333180161857, 421.91514305327479, 422.58034621044027, 422.85456512456449, 423.42259286967021, 423.7184732449403, 424.5174861983154, 425.34222483272117, 425.8113375155188, 428.28087279951308, 428.36889741781084, 429.095474977994, 429.62076435398154, 430.21993198230035, 431.55409958142218, 432.11494086090011, 432.44879975926199, 433.03111455745005, 434.14556276973099, 434.5882860479033, 435.4977590029705, 436.29656825916453, 438.36928989679512, 438.51753428310542, 440.11721137987217, 440.51687389953429, 440.88388317652095, 441.39203996831435, 443.2187921345523, 443.30979240279896, 445.19976654165271, 447.73415620859964, 449.76939552381282, 452.47454507799188, 452.76190917516169, 453.58123901339337, 454.44607470591461, 455.26719246086213, 456.4094836200112, 457.29945028452596, 457.41683114889457, 459.22673165595938, 461.27782799404685, 463.84286784414456, 465.31726522742667, 467.46465115093071, 467.68455117387805, 468.49486279272668, 468.77197701288793, 469.43167493442252, 470.27988419655475, 471.6851607359032, 472.81088039611421, 472.93394676999924, 473.5413309584365, 473.75497086240102, 474.12098757260407, 474.41869489290752, 475.89271263666774, 478.34119670731673, 480.33193677611411, 480.37523161745276, 481.13676958886145, 481.60019938671275, 482.60454226374452, 486.42478110503026, 486.49690065887938, 487.16041697271589, 489.19887673120587, 489.34513309972857, 490.10917104285596, 491.70816016748381, 491.92237019549032, 492.35840820302536, 494.45453440389133, 494.81855290373181, 495.79814117684947, 496.45564038029647, 498.2825616449328, 499.51271219955902, 499.68824950050657, 500.63726719181091, 502.06621743726151, 502.66473781637211, 505.01030261650942, 505.18470043806224, 505.551860096008, 506.02455812740158, 509.46995440430464, 509.84035104181993, 510.81624137777584, 513.24883852268874, 513.35757652357177, 513.89892003201055, 517.92040096982225, 518.39201191248003, 518.46521069024948, 520.92285447428355, 521.79082688387905, 522.51138537639451, 523.42220841521419, 526.85725142946444, 530.51770635976357, 530.59238081907949, 531.96404771354935, 532.37011973939173, 532.73345131118344, 533.79266162246813, 536.5718970627554, 539.04473216005056, 539.76491322564505, 541.43225561868371, 543.740690153792, 545.011832373684, 549.53713577911833, 550.41989192216931, 550.71104939973259, 552.28355326045119, 552.5925382358713, 552.61559561348395, 552.85200006284856, 553.3957182230979, 555.11581955231293, 555.39858989633194, 557.55049889800659, 559.38760826386556, 559.41567200131306, 562.37404307754593, 564.21131108752661, 564.82944287675753, 568.00331019716702, 569.03741989331911, 570.28607065134952, 570.66201573275771, 571.18991819681469, 572.76765862155742, 574.38892097843075, 575.15077517199484, 575.18892622602709, 575.62195195758648, 576.07142237262951, 576.29171461617159, 577.72819927627916, 578.10676318404933, 579.61059802740556, 581.07734442275182, 581.14070628572063, 581.80185907783232, 581.90240257934192, 582.09143697377829, 583.52977499642805, 584.14722945475933, 585.26936675277261, 586.00744410845186, 586.02759667427711, 586.18302409856528, 586.3250696170719, 588.62988824048455, 589.23760490592304, 590.20142644220141, 591.53827716618468, 594.07678047216666, 594.27692202501169, 594.46117477419648, 595.52877683391114, 599.79001823313217, 600.17754030712899, 601.7198869900725, 601.92150210487057, 601.96876270851715, 602.13967261116181, 602.497105294579, 602.89489071404614, 603.01013095398457, 604.04924916307118, 605.46219683858794, 606.20710252099911, 612.3126681630846, 613.63634211572912, 613.89738612176018, 615.57301687584527, 615.62920882783101, 615.99789337044785, 616.32662353566138, 616.83324285325, 617.12151208710213, 617.55518110195123, 617.58426599450604, 618.548067190437, 619.01111462006975, 619.28329831253848, 620.74558876283686, 620.87642120502846, 620.9598657789777, 621.25150784379127, 621.55408633799038, 623.30935305771936, 624.16266041679637, 625.2380648768135, 627.19677493887377, 628.00807032230864, 629.5677113836631, 630.09896168757575, 633.34679269798141, 636.38270777417779, 636.69084858190854, 636.84885644522285, 637.36264325888249, 642.88015406556099, 643.89482852220794, 644.31480801210307, 645.05869052547996, 645.69714838234893, 647.16934166650799, 647.56409965286673, 648.68151290656124, 649.97482613407362, 650.01624831154982, 652.06446641617902, 652.68803488545529, 654.71501657805516, 657.67435964290394, 658.82564550247378, 658.91229572078271, 659.8305691069146, 660.71574898774827, 660.85390225579238, 662.7196183085058, 662.82276596464783, 663.18722184663773, 663.68854656640656, 663.9774054065681, 664.71005386668332, 664.73424904399758, 664.86013896708312, 665.26765580145275, 665.37529592934493, 665.54225910791467, 665.99580357944853, 669.0607818018965, 669.56375475792868, 672.60408911973082, 673.12300486937579, 674.50097602805522, 676.85889671269626, 677.91911166894477, 680.15556148633402, 680.32969830807838, 680.47539107292982, 680.80032177945122, 682.69874056698961, 683.93357868403507, 684.83737197010771, 685.73371781513958, 686.39371514458003, 687.27542876399923, 687.65582730721474, 687.96108395468423, 692.13708111310484, 692.65913038201631, 692.89345704558252, 694.39302125090205, 695.47394530693282, 697.22301289858433, 697.34028221122674, 697.73589163738825, 699.04508350050594, 699.18877693582408, 700.06182731506635, 700.39921941705506, 704.08746795253944, 705.03706762577679, 706.17222139828129, 706.56764597816982, 708.65330073449331, 708.93218757596958, 709.50845163377073, 710.57207369399271, 710.62599146008495, 712.18418347372494, 712.92795037580379, 713.15605261674455, 713.24374606610866, 714.53609118413988, 716.27948800256263, 716.90834624968636, 718.96089126607933, 719.8440364097147, 720.01209000060703, 721.92003073798674, 723.78695737692954, 724.49788262003028, 724.71757375854156, 726.69926260907687, 727.2942620183743, 729.58207436217424, 730.79766504918291, 731.23455298685769, 731.84987058643912, 732.65393536398494, 733.75111532940434, 733.94151698693099, 735.80163927717706, 736.43153486604535, 737.34022966142766, 737.91757301735174, 740.39232073865799, 740.45530860707322, 740.50087954441153, 741.32386464917363, 742.15953045946674, 742.24421894430827, 744.697529791698, 745.53536752452464, 747.46510669621762, 749.61163008882386, 750.57375394109852, 752.13555697356014, 752.90666862919579, 754.53927891547448, 754.56162522443435, 754.60647823293561, 757.5272739714635, 757.75475960301003, 757.92565253266844, 759.22479830542625, 759.56541906672555, 760.24831035374268, 760.78381539294162, 761.17635099507743, 762.82230265160501, 765.2244414285733, 765.43603705584746, 766.25298056692429, 767.57432966729857, 767.7075099338432, 769.25133153310071, 770.35467274471978, 771.21359105568683, 771.84510786173803, 774.78178504859068, 777.31894437075891, 779.5524896137091, 779.85319560932282, 780.25025647708844, 781.03410856428025, 782.0879463652866, 782.99993504607971, 783.02721865568344, 783.76975258832249, 784.42606913135671, 787.89640941479354, 788.31839700204353, 789.7596002230091, 794.40956600589107, 795.83429505809124, 798.60432807859786, 799.28627874619553, 801.10672381790835, 804.11572328706472, 805.25887098933561, 806.01673069153605, 806.04052836191306, 808.01456940608318, 808.0813032556224, 808.15724944754709, 809.54675008571223, 810.3817607201363, 812.44825524907787, 812.77958515876583, 814.9619300726722, 815.02297516593978, 815.0870141400386, 820.83366335291953, 821.57635997327907, 824.60132705079093, 824.69254315225726, 829.81653264839974, 832.66222032001872, 833.58663168581552, 835.45830434243351, 836.20532904814843, 836.36521539816169, 837.53459871481323, 838.27297469700807, 838.65455960694123, 840.65596307752492, 842.06963172318012, 842.80551381084297, 842.85780654128871, 842.97225184672095, 844.03559643114954, 847.23556812167885, 848.24791721070983, 848.95222410925976, 851.28339558967741, 851.66551074440258, 851.95295004291131, 853.98391128727064, 854.39718467980322, 855.24426684650791, 855.28950932744476, 856.73704632952206, 857.96232336327148, 858.19753796333828, 859.54652830549628, 860.55541672808113, 862.16120282765985, 862.91179219818753, 863.06762206762085, 864.31417422904497, 865.53402610699607, 866.8944181056678, 868.85177631565261, 869.81288182386345, 870.0811141842313, 871.80255482542282, 872.74884769121445, 875.1139954878447, 875.13464614163684, 876.70008308781382, 879.38927555738144, 881.20702720522399, 884.76358521272721, 885.96337737565113, 886.68741643362853, 887.86941907777589, 890.53988014307447, 892.88811668710139, 893.80748269292621, 894.15009772159692, 895.09178846572706, 895.35689455317811, 897.92043230145487, 897.97268224638458, 898.84990359264305, 899.87729769415864, 900.38499232134586, 901.97211236239536, 903.53672276374095, 904.80915620951214, 906.6006203919452, 906.76835340425396, 908.11655028880398, 910.78136784862363, 911.7229387591558, 912.5197525377024, 913.24498033745897, 913.73987497552639, 914.66738973999395, 916.2005056081972, 917.38970115167228, 917.98618836954108, 918.2164632392919, 919.48623002576835, 921.97498429459813, 922.53501384847686, 922.74062921836139, 922.94624197983512, 924.19903221504558, 925.30839073230288, 925.81371050362497, 926.01010818441432, 926.75935519959535, 928.89458790524407, 930.89511969285559, 932.10225542962792, 932.97162659371463, 933.80763628417026, 936.78206197416102, 936.92330782227759, 936.99663178424657, 938.46122484093212, 939.23012040943263, 939.34825917701312, 941.33691630217322, 942.03742760962837, 942.59627804742024, 943.67567609338766, 944.65751544548584, 945.53376435091752, 946.77853622308658, 947.94880011808436, 951.72362683715835, 952.04046671973629, 952.85882803869629, 954.91203220551063, 955.09365457797924, 958.22563937785583, 961.01044654674956, 961.16815993906528, 961.36518445893046, 962.19471262923059, 962.27906751918169, 962.44014669547482, 962.80675038740628, 964.50837275357776, 964.85691530015902, 966.21979949196793, 966.64826765192083, 967.6215614845031, 968.8036132525192, 969.33347582532929, 969.41663328838831, 970.07053077537557, 971.57858694690822, 972.93836686473117, 973.39886028012904, 973.89370228862822, 974.1176229412888, 974.36165306818816, 974.68910474648953, 975.23180053147667, 977.26172668870788, 977.61063746061586, 978.1602216143142, 978.26562351631833, 980.34595663233347, 981.97476862298083, 982.72550266473297, 982.95535984452465, 983.65448794812539, 985.30554302659812, 985.42617784481297, 985.89899755451029, 986.73698650908534, 987.52379579066894, 987.68397966382952, 988.9351503210188, 989.04793272274583, 989.22177122079984, 989.79041653252511, 989.82038799577867, 990.57754977879381, 994.11107787640765, 994.20142523224672, 994.93854699247765, 995.95823774687619, 996.07365216628898, 996.16098277563583, 996.28886559945693, 996.78845593098026, 998.16948173352796, 998.25795883865521, 998.9967405481915, 999.69415194674991, 1001.0663855605699]),array([52.387481361052714, 52.859304594316022, 53.330891747254476, 54.019472454286664, 54.118014852633095, 55.003400813515867, 55.96392373910993, 56.48239255795265, 58.333719767564574, 58.390792719973739, 62.510619119160395, 62.997440990073862, 63.052450832263467, 63.513464969853125, 65.552778759326529, 65.614595756253394, 65.905689357854612, 66.746543465901425, 68.017244018971823, 68.614444008369915, 70.794390983027697, 70.950145515808217, 71.390400073781478, 73.268997070741989, 73.667528398342483, 74.730256165721826, 79.05337183657204, 79.292681150525382, 79.367787205282795, 81.929757152799993, 82.170667519282389, 82.863455765078157, 83.221445161145525, 84.095657109305364, 84.61049146824088, 86.191400739461557, 87.597684097921743, 87.834975795155344, 88.06262644765927, 88.995131053136404, 90.95906211514442, 92.54516895752117, 93.133085333877148, 93.752203095705582, 94.202536955464922, 95.148282145821327, 98.448152165459632, 100.42484606055869, 100.83460057799844, 101.04706665052905, 101.17513408486474, 101.89657202569849, 102.93595044358835, 103.84314228931356, 104.90877008906544, 104.97395937392554, 106.24809585904499, 110.11686223901413, 110.42968549891957, 110.87005396908799, 111.32843504387645, 112.05751683541683, 114.57051642582827, 115.54835076988712, 116.12933136487298, 118.63563524610228, 119.09864826413855, 119.79531672411335, 122.46989655046266, 123.07927280204014, 123.2958049627961, 123.96932591320248, 124.43629171424534, 125.27393315064363, 125.9765724053798, 126.08538666114751, 126.8934978898007, 127.09773954755988, 128.14701867125726, 128.94868157264733, 129.39132941377019, 129.59337807892274, 130.12861052326764, 132.21442570188989, 134.0743868472654, 134.63053669996805, 134.71103777989649, 135.59898871159297, 136.6072600905284, 137.60420842150535, 137.80529451056043, 138.09550357934179, 141.37794921698469, 142.49406547485466, 143.05337805892259, 143.32759000243001, 143.55428018172071, 143.63728135423068, 143.6610794513478, 144.45995435259951, 145.39715857592208, 148.67487542573801, 148.94116887155036, 150.53620046826512, 151.44053693133239, 152.78968334842736, 154.38504118914454, 156.31491335915808, 156.52708530642886, 157.0495377027126, 157.20588568636109, 159.3938683848819, 161.59325535686412, 161.71309298491227, 162.89646020171503, 164.07684944932063, 164.13586078124436, 164.3119876505184, 164.71983539407299, 165.44151441438439, 165.60279979232135, 165.82895631931055, 165.97838501322749, 166.03804691381703, 166.08429149297979, 166.60077555537518, 166.64637039502793, 168.46584267202238, 168.81635620776183, 171.20595038786851, 171.53942014075685, 171.77158436109141, 173.2102888918846, 173.33429412477051, 174.55351501489247, 174.8284537833274, 175.66659770622448, 175.90787062466487, 177.49532542024158, 177.96162461629027, 180.05979841718738, 180.23730557152606, 180.69729972339803, 180.84748878733097, 180.89069392216354, 183.64042627710953, 183.8862377867618, 184.89250314138087, 184.98011003868089, 185.76124005703275, 185.89579269109143, 190.67319504592143, 191.27791785002276, 192.21818279102445, 192.27886220204849, 192.68257835217648, 194.12312574696625, 194.59117468996328, 196.22595634054375, 198.09307398393747, 198.21896177770216, 199.85841743933199, 202.11569615368066, 206.45226649143453, 208.73594351147815, 210.1606661272474, 210.27556807464836, 210.77933698532206, 211.71379993029092, 213.10155049339522, 213.49562665607164, 215.82780635521834, 217.77984685226289, 220.21471375002267, 223.16878785196405, 223.21597547806002, 223.63246257925186, 224.63046773325701, 224.8092114578937, 227.3239941327349, 229.20081841362114, 231.53102501696642, 233.31685863578852, 233.99998069067593, 235.85628164859264, 236.59373774995336, 236.76424361750793, 237.8600328154952, 238.08777060854192, 238.6569679029873, 241.72422008432397, 241.81270424831797, 242.1111615026968, 242.9043408961507, 243.0089008143062, 243.1644342682512, 244.49027085540493, 244.59883253031825, 244.96283263020183, 245.33759571921308, 247.5379862498848, 247.58154797555497, 249.67819845232555, 250.03430055627533, 254.70186801684488, 256.44501986928634, 256.64988738930231, 257.49899810271233, 257.53952584924633, 258.32853876077832, 259.59052415189143, 259.92976169144339, 260.8171868051088, 261.08179941924084, 261.13020335131648, 261.38774527809716, 261.52896745949261, 264.15583388296312, 265.17333794225436, 265.93161096145428, 266.18952766276334, 266.41761018544099, 266.59805305439193, 267.97148008975114, 268.45130855904347, 269.72542619067104, 269.95848106882863, 270.76924434808802, 271.22910657108065, 271.43558969878478, 274.84357961976428, 275.34222376787176, 277.00902866761851, 277.92052880995436, 278.29684500109772, 279.39075263288947, 281.19340209366328, 282.63483514490036, 284.33816187188376, 285.54511853117691, 286.43042878589654, 290.58368014028224, 295.00632348688362, 295.43658428963772, 296.12683973011065, 296.67396889569392, 296.89378482062864, 297.77879401332223, 298.45529957885077, 298.56931174272825, 298.6730919968378, 299.63330102191594, 299.86923232161911, 300.20549499605204, 303.45189207235967, 305.23636438967139, 305.26049628944162, 306.97698743872394, 309.76105120288594, 311.99263322319075, 312.95608289707371, 313.6061785882776, 314.89427766713021, 315.52585623853031, 317.62600829891477, 318.07357390223132, 318.7238352770961, 319.06415258463733, 319.85435497164372, 323.33009526480345, 323.79269903023396, 324.46303977525389, 324.62658689768455, 324.69519863195916, 324.73503986251961, 324.81633346664569, 325.68301651163216, 326.54999256925203, 326.76171656955677, 329.08757404220233, 329.78841331731593, 330.56777536955661, 330.713986677886, 330.960480640269, 331.77292075398407, 332.22523354962067, 333.6469404937182, 334.1437101754031, 334.97218100650082, 335.31433521654003, 335.81976267085599, 335.85636675693956, 336.44898981886905, 337.77006905199528, 338.92870940530418, 342.14439279374079, 342.77981419257281, 342.97189496885932, 343.9649482844265, 344.38160935659874, 345.36447736035382, 346.19652364175124, 346.8125750835132, 348.02683213940674, 348.43448303365938, 350.89918137321922, 351.14775329663098, 351.22464771645338, 351.74494188118052, 351.91708868833081, 352.49222907061295, 352.53381268040192, 355.22520251785943, 358.57041981630721, 358.92749227123994, 360.21768459947504, 360.82852544917785, 362.19562325249763, 362.26289169389486, 362.49925326740464, 365.96062972832925, 366.96116843178407, 367.66203890499469, 368.09646807000797, 372.53107532914498, 375.24032604060079, 375.41852977712159, 377.13564083641313, 377.90106699989337, 378.26896411896905, 384.09247740782979, 385.76270722336574, 387.3779465679296, 388.61073009595674, 389.30857201970792, 391.15874284417072, 393.68488603083301, 394.73494515960425, 395.94736023442232, 396.51329768455554, 399.48762954644167, 399.50833103145209, 399.60880376003007, 400.05305100340104, 400.15550743536016, 401.29962798976271, 401.67174971797687, 402.0680319931426, 403.90779941757359, 404.04513204239487, 405.08383932452074, 405.27504862783269, 405.41780887619831, 406.7232625471982, 409.09128834862395, 409.13600656733144, 409.19219567756267, 409.46743927874968, 410.05965342968574, 411.52044927178139, 412.25616531989834, 412.57300728175625, 413.91184298198738, 414.45226131669142, 414.90079020795548, 415.06671099663038, 415.46060783011598, 416.01514014073206, 416.2845100776251, 416.51816687911969, 417.29841307272909, 418.35208251633532, 419.13214742064946, 419.63932441827802, 420.38001210685559, 421.08948069614348, 421.22095177619406, 425.58536668366355, 426.1689479473078, 426.76275587223103, 426.9242302278941, 428.62479786075016, 428.90498964595434, 429.14063763149704, 429.32678061106265, 429.81062280056665, 431.29720328797907, 432.25339188978933, 433.21885921436439, 434.7365413700366, 435.14441375366317, 435.28382863537786, 437.34624611073787, 438.93748372584378, 440.29565784386187, 443.2966005922429, 443.56538512404455, 444.56631985348213, 445.66666057332696, 445.71011367895028, 448.37587649157814, 449.22644912457383, 449.2780994795059, 450.60897615408084, 450.99421069241117, 451.50812759483887, 451.56629303854697, 452.21824359101123, 452.36567222982723, 452.42877020637502, 452.5679719577455, 452.83841106852623, 453.25099017978249, 453.86281645983286, 454.9403787707376, 458.44187506986896, 459.05404206113298, 461.22560087229994, 461.29427847647219, 461.83016845059217, 462.15021175361557, 462.79764974758245, 462.99166541651601, 468.30059407118807, 468.35324929387406, 468.73166393666355, 469.68012615110752, 471.07627813093893, 471.17259757101431, 471.79007826026043, 472.5006269858626, 472.63564278775999, 472.84671918949812, 476.80087050379512, 479.24305407537281, 479.42059163817453, 480.10099807908659, 480.56173344607078, 481.90949151920842, 483.83980481005869, 484.62501131942548, 485.28560230935381, 485.95501056780898, 486.33092692041856, 487.24683799283662, 488.28757321150061, 488.3672024228066, 489.85120747884361, 490.59137115720841, 491.78006788714009, 493.06803908227533, 493.24350464259442, 493.3800996435653, 494.79117782426823, 495.43360167904024, 496.44781746042827, 499.55792905783937, 500.54350499196858, 500.73611578415358, 501.29559995028046, 501.49549069224651, 501.86628659992954, 501.96081041601855, 502.67501695627521, 503.06262826537898, 505.19632619598923, 508.22089703268171, 508.6182180868027, 508.99673036252949, 509.435326439861, 509.60977039251549, 511.42585375811052, 513.17641860510651, 513.63386383330283, 514.73841829148341, 516.67987918036033, 516.89532265689252, 518.58758827098984, 519.45669295212917, 519.51869728117072, 520.86628076928366, 522.45194942563728, 523.72483677318701, 524.55144747137376, 525.13111856810133, 525.28909685978113, 526.13184363459311, 528.72674316732548, 530.05950295066498, 530.85818394718729, 531.66002127878915, 532.32363020425043, 533.1756717189096, 534.2057694137352, 534.29118494852219, 536.19931781057244, 539.02695664021587, 539.13342208114273, 540.79627229463529, 543.306015545886, 543.48946293654296, 543.92095658243056, 544.94884026881073, 545.62612158043396, 545.9009642272988, 546.22295999097139, 546.32003235743844, 547.48303191435605, 547.68571083975996, 548.56342973569474, 548.79520209787063, 549.91593325767951, 552.34214235992374, 552.37765169781539, 552.65512213888883, 552.73188805254847, 555.17150199384446, 555.45840934638954, 555.87794933280918, 556.42878191597174, 557.47180009193789, 559.45990660188488, 560.53905054479503, 561.94605655626594, 563.1430831078161, 563.27541006671811, 564.51629692620872, 568.3422562710274, 569.13947119069746, 571.8135495690866, 572.82529284527618, 573.53998573934552, 573.8943045554629, 576.77855683040946, 577.92758678244911, 578.10804166066794, 580.79171553707511, 580.98203672552904, 582.13452105248314, 582.29654710293426, 582.5243030259968, 583.11060200470911, 584.94858615758756, 585.99584213236801, 586.2726253606894, 588.24315649305527, 590.64566795686687, 590.77447699971606, 591.50309823144084, 592.85411310619475, 593.48526981293003, 595.43228394130142, 595.58669383070435, 596.9203396277677, 597.36972177384962, 598.54264211452744, 598.94362801182513, 599.02144255472365, 599.75694017352316, 600.65029103344443, 603.17548405292223, 603.29378562875172, 604.70683653055914, 605.5385388379392, 605.74119271590041, 606.83881890879684, 607.3933187058683, 607.55489702394061, 609.00523725198195, 610.17185742500556, 610.93506554889211, 611.03471723283099, 612.17318758369299, 612.43530271860948, 612.84053513350318, 614.96182304556203, 615.99732692798659, 618.11168796836876, 618.39675014617444, 619.71000663842131, 624.15240898941124, 626.05483494713144, 627.13509305460252, 628.36674643281106, 628.45935749192995, 628.62952715501092, 629.22576718259859, 629.44364548675708, 630.64687872259753, 633.55451675999473, 634.45058756922344, 636.01157147158267, 636.18989649304399, 636.77788271892746, 641.01297990831938, 642.62353190486681, 646.41176547155226, 648.53929889518145, 648.89289396078675, 649.24108011303053, 649.40646779345752, 650.72997156978818, 650.97785007417122, 651.79922984332711, 652.09822348454577, 652.44522074676195, 652.6676810823019, 654.0009991997731, 656.04642429343426, 656.29367794281734, 656.46362161125171, 657.30502180187511, 658.01950062501817, 658.94023987387743, 660.49264282798697, 660.61638450013379, 661.04114428882372, 662.8437408147596, 664.35293906638333, 664.59921272793429, 664.92700986765738, 667.59269313576669, 667.81758005865436, 667.8801766506042, 669.19590510544992, 669.3536876818514, 670.35931206355338, 670.60368048958264, 671.27441967505945, 673.11443768907122, 674.00112116155412, 675.05035099482188, 675.29899713615032, 677.34855209623913, 677.72713494025675, 679.04482784472509, 679.11278767433623, 680.11529425760716, 680.32846584661581, 681.41476513476255, 681.54332581119934, 683.95955619713675, 685.41278478938762, 686.56210100686565, 687.03296531823605, 688.70878374252402, 689.26281784623689, 689.4547997828455, 694.42203080974366, 695.10686719105661, 696.49329066210555, 696.85115854985941, 699.23623538237644, 700.85122215661522, 702.46328527505091, 705.81664072950116, 705.97237231273584, 706.63101200725282, 706.97389748918931, 707.46929528566295, 707.88822701017955, 709.27043045405912, 710.24492647540603, 710.49373278880353, 711.0347990702669, 711.56202665574142, 712.87592058877237, 713.48282027974744, 713.93367417494221, 716.08859774529617, 716.23725477667858, 716.66494746122987, 717.19282506766922, 718.74786155817799, 719.45160141378881, 719.58626860002755, 720.42904711621702, 721.50123410138315, 722.65132738687055, 722.88735531689849, 724.89362495627358, 725.07583385164048, 725.41462156953673, 726.33929148299683, 728.26185554036124, 729.74586850476055, 729.94471568314793, 730.13403400460709, 731.289534372611, 731.98387183661737, 732.81665115541091, 734.14094700276326, 734.3515022921456, 735.18036917771212, 736.42892822949148, 736.73558466457519, 739.22328514428193, 739.76132787209474, 740.72366152592247, 741.07985226739368, 741.46729502024618, 741.74924718493401, 741.94770031729388, 742.45064254002989, 743.12853650053125, 744.5293366808944, 744.58618857502427, 744.80033761717084, 746.8420746264951, 747.78037293688828, 748.79319482545816, 750.47930959059966, 750.66124712414069, 751.28711287915689, 751.83532730742218, 751.92559396373133, 753.74467841372325, 754.27560606121403, 754.86270471352645, 755.22794342901125, 755.75839027573966, 757.03549857899998, 758.91447392549526, 759.19402609264216, 760.44114402426396, 760.48477959294974, 761.36104591664559, 762.21997896728078, 763.56566640212861, 764.19072786493416, 765.02672898735966, 767.28442492686941, 768.42405776006433, 768.56224758854296, 768.68227281387419, 770.19702610585978, 772.09244465037114, 772.95885401616738, 774.71900486798518, 777.31275787901245, 777.56614658657452, 777.67585685833183, 777.83834475510355, 778.52973104643422, 778.55089681124275, 778.57741650387732, 780.75132703523184, 781.31400340604796, 783.60173879364345, 788.83715050942737, 789.1613510935689, 789.65472743201485, 790.40620972890451, 791.78027000525697, 792.36999150468523, 793.93251785990242, 796.10898071005295, 796.54528272403093, 797.65317247686721, 799.43346698394237, 799.59317623198729, 800.06091501863136, 800.58363133348951, 801.89525216186757, 802.74712244785019, 803.54039049702885, 805.07589922377588, 805.36402113783117, 806.37861436696539, 807.89338124828248, 808.13464154067663, 810.69144052160777, 812.40629277182597, 813.30002089574566, 814.11434221422041, 814.21610073551392, 815.14630579229765, 815.38458185183993, 815.40606395230282, 815.64772817343953, 818.96922129502104, 819.20733562021405, 820.55749831330445, 821.0671995470974, 821.5053142109017, 821.60130447655683, 822.35610969563106, 823.52774537037669, 824.27604907036573, 825.02955113132043, 825.31453680602328, 827.04434648927565, 827.06667003990549, 827.546447957439, 829.53153546899273, 830.28117919348108, 831.01544274272521, 831.74599629910404, 832.3266118118745, 832.83714665631783, 834.74558545262482, 835.32709264294635, 835.49584999658066, 835.61635738961377, 835.76860189830381, 836.0317149052338, 836.07118527192472, 837.4707188800478, 837.80567624932257, 839.81152797144011, 841.23023322689187, 842.68822923976893, 844.69003586328529, 844.74269004954294, 845.61882045686446, 848.03919901916299, 848.79971079009465, 849.398148556759, 849.51987095386062, 851.03976406116089, 853.65467810358848, 854.47108368742454, 856.93761561871804, 857.77135960921544, 858.00911709597347, 858.03415198806431, 858.55337415737984, 858.94300790872364, 859.78985442583303, 860.47502344799182, 860.5615233782795, 860.94865810841702, 862.53374213817438, 863.62131250599077, 863.64269202370338, 864.20906039879992, 866.62524698550578, 867.85471548627163, 868.10345515132462, 868.85959098818034, 869.22158476773348, 870.17530587412955, 870.39034422880354, 870.92879526623096, 871.01086464099956, 871.94459799286142, 875.70029338202289, 876.35550052548842, 880.46049005127941, 882.06571037891047, 883.51102137842634, 887.52622732045461, 888.84491599792295, 890.88626258919237, 890.96301431583265, 892.07107943325468, 892.19392176059273, 893.09016346738326, 895.70336558942586, 895.89411572880533, 896.48389222636058, 897.21572207553254, 897.5396321661126, 897.94099377162752, 898.23584100857101, 900.22105533026388, 902.25657845047431, 903.48623859155316, 906.06632883267071, 906.23686712229824, 906.7518982798656, 907.69109705497385, 910.58113453351564, 912.57919840212651, 914.09017084872107, 914.58899601133953, 915.89145819832481, 915.913579238274, 916.99801520615028, 919.07847966895781, 919.55798139185936, 921.1043936849976, 921.29723623959512, 921.68936689740212, 922.75715594028702, 922.78083817596234, 923.731451025605, 924.85622228478962, 925.14665233320045, 925.74390939041882, 927.21843274425203, 928.36729652950191, 928.85512003015697, 929.38846870330428, 929.47694703267939, 929.52369835809043, 929.88089328579554, 930.06476345465148, 930.29793360489145, 930.391603052856, 930.5088775203219, 930.71371390485751, 931.41419031479825, 932.20458430956762, 932.5666416248722, 935.8448753726542, 937.99499201564197, 940.99895256470484, 941.15433289250643, 941.23637442572647, 941.30251124614892, 941.40881544190552, 942.35815883383498, 942.42346786554958, 943.90120546088019, 944.34555789601893, 945.68988642693887, 947.46237396586673, 948.43358465729716, 950.57378005386499, 951.14607548733431, 953.97863046893667, 954.36276565854337, 955.06936151631805, 960.38159657848007, 962.44373380892705, 963.3227945937947, 964.3300401845022, 966.03203253528079, 967.86297569276201, 970.90223892826873, 971.7490645080029, 974.86525639597642, 975.4129912723015, 975.84341049938223, 978.46622190712662, 978.71136656303793, 980.25667790223577, 980.48997902540395, 981.4885650610355, 981.60695719407136, 981.83522980789382, 982.46584266905086, 984.00754539690752, 985.49534775054269, 986.09843314406567, 986.22632897037056, 987.65068463048124, 988.89885546617131, 989.77378489569992, 990.145669199385, 990.7469973979571, 991.80172559681921, 994.28422095170856, 995.02159789665859, 995.13103839470978, 995.19771820034123, 995.31005766893554, 996.50067598454052, 996.8339991790989, 998.70043875847728, 999.59471330819645, 999.67890375222078, 1000.5658640365004]),array([38.905688798523308, 40.247115541175063, 40.48256171474943, 40.926347015657349, 41.31671687069985, 41.338886322238558, 42.060917392945107, 42.800013662110345, 43.004174634806603, 43.072852749911199, 43.125524999382399, 43.461485616065296, 45.902912168416243, 46.123767265293615, 49.489923647369835, 49.639153637079382, 49.932110930246218, 51.116186087846813, 51.672955546928414, 53.285956565815241, 57.283551607943856, 58.442343228185941, 58.915680917527801, 60.424026548265331, 60.491704871447588, 60.700742718889508, 61.758099187926092, 62.133477205755675, 63.406372080981065, 64.086389183368652, 64.10738611100787, 64.492366358648525, 66.713378593741552, 66.810251655619652, 67.058685723951399, 68.142960979475561, 69.193811283777578, 69.441311020137135, 69.729524856729611, 70.096238920768741, 70.873598845702801, 71.031835801436529, 72.694863146076656, 73.742795929073111, 76.59735370864982, 77.148283639599214, 79.665202906821492, 79.857797842828688, 81.975604538768067, 82.549351803323134, 84.393902916269155, 85.539854936113613, 85.968251768772319, 89.416902656973562, 91.01767777248574, 91.989499835118181, 92.372688009194334, 93.105061669987023, 94.554377545840083, 95.497410620718597, 96.608334658479123, 97.50463325489909, 97.591406458474594, 99.118829657835704, 99.354776762177536, 102.40124804807616, 103.97824107122766, 104.56495504190984, 105.33906232108188, 109.99212016672914, 110.78962023898194, 113.06405565411526, 113.13018469920588, 113.82166070818911, 115.17378179771408, 115.32359336886299, 115.44965614000439, 119.49461439401625, 119.65461402782921, 120.26495490278216, 121.05627983448895, 121.1081941465506, 121.13278980997129, 121.54116892066027, 122.85297676909555, 123.91720636821486, 125.82879883494215, 126.96880128722688, 127.9966011562237, 128.52561363692831, 131.54508612429856, 133.07599010585244, 133.46365240193626, 133.61173708775459, 134.88482804176192, 134.97879746524421, 135.36121536923409, 136.56161387131183, 137.08112643994724, 139.53781163941116, 140.70069639972223, 140.95114380738266, 142.34303640414473, 142.80792223326338, 143.90705963859628, 144.46885242786647, 149.02079795546146, 150.79929652532965, 151.13713479764144, 151.60324200325991, 151.70811717293853, 153.11673473165283, 153.27296241620564, 153.31260796249194, 154.05126766825668, 154.73947219406074, 155.24416937071945, 155.41150639725458, 156.72757495456472, 162.74141633873802, 163.42839593902079, 165.48090682460847, 167.39470211836098, 167.91671472487647, 169.37993461320789, 169.92253280595034, 171.0551188607879, 171.08464821212871, 172.67747509266169, 173.03552642884196, 173.66541608130518, 174.03739023169507, 175.79831674791603, 176.41911972744154, 176.88928922084605, 177.91679976180262, 178.10269169618886, 178.662465591016, 181.18945638126405, 182.77848678337892, 183.81465468986497, 184.95480046661015, 187.050842573995, 188.17566513057338, 189.98036487048125, 190.6586514335645, 191.58396099734193, 191.65653069117624, 192.32639837122949, 195.33954762905478, 196.79018399550125, 197.67947101793658, 199.32514989777815, 200.32405462787571, 203.05949612861323, 205.07656239871801, 206.99095167920021, 210.85733416415454, 212.41626051798312, 213.25594338301312, 213.46602516979047, 215.68230767995797, 218.47331580357823, 218.55902667210594, 221.43103836544327, 224.48325631613426, 225.04843989714502, 225.22383160513365, 225.45968945123821, 225.5621351274427, 225.92386280059682, 226.05279311413571, 226.75307931320717, 228.03739180508668, 230.07393209360555, 230.95337324959328, 232.13338840388698, 232.68575713641951, 232.85648440419607, 233.74947461612615, 235.72125160830728, 237.28082090607595, 238.76418755063136, 238.8231742780246, 239.83931762976601, 241.1968328731723, 242.75746573233741, 243.32081390849825, 246.54579108523399, 246.90202093408848, 248.19461627357867, 248.2500831138743, 248.73940361380124, 249.54624545225471, 251.13224636080113, 251.23714882599597, 251.311875429899, 251.42804428190647, 251.51050119030975, 251.92005950233985, 252.5017272870484, 252.88900759855699, 253.34216109180963, 253.47780849171087, 257.64264887330762, 262.06865536606216, 262.60144957510062, 262.65121140552066, 265.21882226648046, 265.9620877903273, 266.56665497804624, 266.85860873694088, 269.59217118806805, 270.97865029615571, 271.29745029951891, 271.33401204407608, 272.23346696920999, 273.4312004483067, 273.5489576646246, 275.42206141600201, 277.25351479639068, 277.73550265655086, 278.50427615272707, 279.74421141613345, 280.95010117308931, 281.11187514393919, 281.67727894397308, 282.75473584637024, 282.95752513767184, 284.16386805814733, 284.43712968125442, 285.64854767415943, 286.09062746204455, 286.42231713768217, 288.51009662685613, 291.96377732130736, 293.04880019776027, 293.15593863803684, 294.23127121880344, 294.31001612140949, 294.88413425840855, 295.14703656231637, 295.69466787870044, 300.41887942428701, 301.0565142039087, 301.3164099935392, 301.76615013420565, 302.36641413308007, 303.50034681895522, 307.15990505490521, 308.36998083289717, 308.69609555263389, 309.53096004897316, 309.62183585033387, 311.55194435679715, 313.07157994315651, 313.83053185083531, 313.99217835878301, 314.36483267803379, 314.52492153286192, 315.66359455917046, 318.14909213772472, 319.12512021786023, 319.5748887832878, 319.63249042525297, 319.90278801585072, 321.15967768961366, 321.50289714026354, 321.82251260552749, 323.26233619112111, 324.51481214727414, 324.56981749992758, 324.76014584354311, 333.28876269684042, 333.59601534891635, 334.51523131776798, 334.87877394714224, 335.13527900733027, 335.22112159968259, 337.16822303247744, 338.62383324762425, 339.13002085525619, 339.20508647816041, 340.90098914513896, 341.09060671660257, 342.82600143573649, 344.3603609899219, 345.9759030329846, 347.21431754726234, 349.02867152743522, 351.52825518821106, 352.17064641041446, 352.60482003748268, 354.28937337093663, 354.31196297511605, 355.43838218244218, 355.77616253066475, 356.88564736662408, 358.30669350717523, 358.6058820568029, 359.05183827616213, 360.63614378808722, 362.06001681076964, 364.82633540845814, 365.94951128930768, 368.81640017497267, 372.19503110098145, 373.65872154777827, 374.75127355761089, 374.91537793531927, 375.0285454630415, 375.52723173843282, 375.98066548218884, 377.18412547474941, 377.79998032586377, 378.3038154869663, 379.23693326364588, 381.7551586838311, 381.86264361125995, 383.64206384119893, 384.01016535577469, 384.05752320426501, 386.41608821763714, 388.66933557202981, 389.29940339920239, 389.96213451197792, 390.65076457478904, 390.85244927127701, 390.98865668207657, 392.81833526111279, 393.39090811236611, 394.43957445064996, 395.40835930479363, 396.99143003659395, 397.90156699873893, 398.21043516760727, 400.83708705150315, 403.14150669564845, 404.00834821422637, 405.12734233176133, 405.87849683184686, 406.59115416286409, 407.20623572438393, 407.33214764956364, 409.59631962226155, 410.80477182026306, 411.47256769703199, 411.56274456485767, 411.88115112391336, 417.53948830101382, 417.86958369285782, 419.45508060760972, 419.96985517080333, 419.99691171525654, 421.17777948889261, 422.60329892038618, 423.63511387013176, 424.49803688858174, 425.2671569027612, 425.89214758170181, 426.43933316098349, 428.3225196431419, 429.83538669268961, 432.30748680096951, 434.01060917166205, 435.48978564151219, 435.53464750912707, 435.58317849126092, 436.24980133211818, 436.5763447513778, 438.27275370900259, 440.8694377070899, 443.42499295312194, 445.72813974455835, 445.78914370200636, 447.01242909919472, 447.24068529033599, 448.82365318621697, 449.32343170899594, 449.66527985433873, 450.09119285817019, 450.19370979381824, 450.33976905443916, 451.09508080243268, 452.27179625355296, 452.39136689201399, 454.4920641153339, 456.79555369788091, 458.16550702382102, 459.63156114481791, 460.44218830049891, 460.82735148709077, 461.39908344812824, 462.27632243591307, 462.84243492488514, 463.52767379945004, 464.19371616342994, 464.27048730366516, 464.95469603189122, 465.16173259722592, 469.14807144456506, 470.47573047728645, 471.21214821986837, 472.06441279006839, 474.10343856426852, 474.69647384596038, 475.21492456471987, 475.83840697208785, 477.39156477555809, 481.14377916727631, 481.95524800418212, 482.66573240831605, 482.93590697120794, 484.29234213188022, 484.46866002591298, 484.89544543351838, 484.92641402433225, 485.32283417012746, 486.6260303756635, 486.67932885684928, 490.86890431791426, 494.18677453937335, 495.18304012182227, 496.94366543038325, 498.13856473782647, 498.38998526099431, 498.50430698460048, 500.86889924723658, 507.440021302123, 508.77784392083055, 512.56742277018736, 516.48054983115139, 516.58031907268469, 517.91233380952917, 517.93465399082743, 519.09569992132094, 519.36399780612282, 520.88957932839321, 522.33734913595401, 522.861294260715, 523.00817719262773, 523.4370881012245, 524.06966895068979, 524.51366995870717, 526.09586541383135, 526.40460808739567, 527.69889984317513, 527.96096377841297, 528.82741907897685, 529.92399293409051, 530.38235468241419, 531.26924301646, 532.81237559260182, 533.68426205919991, 533.80059079634179, 533.83505247236963, 534.2686592225208, 535.24005607915649, 535.27579969311989, 535.94071728621043, 536.05441180119556, 537.32840849287663, 538.94861451300301, 540.99649246481738, 542.18746350971878, 542.70249122308758, 543.44111550307923, 543.5458926321287, 547.7159059848484, 549.52458457339208, 550.9215897262543, 552.05391247550961, 553.14370840823233, 555.57317999750455, 556.47577705708977, 557.84058931263098, 558.76933029791905, 559.37927016267679, 559.91279010144478, 559.93395495301581, 563.31217932834556, 563.63148490979722, 564.54617107243712, 565.66023315029815, 567.3171431294669, 568.7159528187409, 569.29187926753627, 569.59795034700255, 570.18819045203975, 571.43658758728009, 573.17062021153379, 574.71673944074814, 576.12517965553798, 576.34006246404249, 576.40568503101997, 577.1584400619596, 578.69189623518002, 581.85217743773308, 582.93413013746351, 583.11357865823504, 583.15367473293111, 583.66979167459374, 584.79785102399694, 584.93371203867548, 585.3483658504216, 585.79665591162427, 587.89063299196482, 588.91305423688323, 589.6148140661885, 592.419612829573, 593.41221211336608, 596.01609511344282, 596.12630986257068, 596.29358935122332, 597.30087607241103, 597.87113211720873, 598.90744714956941, 598.93110592494622, 599.81217041108505, 604.05747259355769, 604.79822005009669, 610.71112703546567, 612.01718528764832, 612.99913881730447, 614.95680923611474, 615.309808318151, 615.9803069689101, 616.01768868828628, 616.84763882953177, 617.52466776072583, 621.89738091092909, 621.99487057149213, 622.37378979700532, 622.85181748628315, 624.2829050789021, 624.73312427073768, 624.766244275541, 625.68931505201476, 629.54532203722977, 631.21247998569129, 631.87525710739908, 632.19208619370488, 634.61539459861058, 636.90581988526003, 638.33593469376956, 638.37005717350939, 641.49363605364044, 641.7714138995874, 643.33894998704432, 647.62811769028553, 649.10571831347215, 650.89161184385023, 652.36042674091493, 653.08444346691613, 654.09758202795285, 654.66325838741943, 655.55180500884956, 655.61385304367502, 656.05269091700188, 657.41225460391934, 657.76010653500475, 657.83209069724194, 658.17149406646843, 659.68578636630082, 661.33995448594408, 661.5563590044801, 661.88735026066718, 662.26444976325934, 662.36471575150449, 662.53432252267055, 663.49500164873314, 664.24310581845009, 664.68477844792142, 664.7188152144945, 665.25758338713626, 665.3349936041692, 665.44365449504085, 668.07516747807847, 668.88732693298152, 669.10765888479057, 670.24986055143916, 671.2570294133202, 671.95837418331132, 673.55258943245565, 673.76631506410195, 674.34880609295476, 674.85424833602565, 675.63663166434515, 676.11178253856201, 677.31212822939278, 678.7086361840785, 678.87959036438622, 679.00935738107069, 679.40880698809292, 682.42224960791032, 682.48516370446168, 682.66419575209136, 683.81320878295423, 684.91970425614352, 685.02374024540597, 685.51276732372116, 686.28672538758224, 686.77725364902312, 687.62685054365693, 687.9482692180344, 688.04055210916476, 688.50438414842893, 688.8316184726516, 689.83939969507344, 689.90661059749834, 690.40331670089779, 692.168503935628, 692.70541067402633, 694.0601066800607, 694.15657881433356, 694.68300459121235, 697.92391267959522, 698.34193640730086, 699.40069780784233, 700.51027291848141, 701.49905630844478, 703.7080189514071, 705.03736052602756, 705.3987971810069, 707.13473902138094, 708.48680203883498, 711.27568829653273, 713.16875645038124, 714.24160884073331, 715.07679036974685, 715.25968845322404, 715.62337968759482, 719.23118404105821, 720.07147656034499, 720.69228797761536, 721.34984290690988, 721.68088519902687, 722.06100911587146, 723.6312705055384, 724.54774026260509, 725.23448623268837, 727.26282745762353, 728.55131939078376, 729.53772338789338, 730.20951415278603, 730.82107764002183, 731.07958755039738, 733.50650571064841, 734.79770989718634, 737.40904929966962, 738.08048100241558, 739.71083029398244, 740.99173239319168, 741.58374494109182, 741.71915665526558, 743.50897905448653, 746.25850782517909, 748.09757620294022, 748.1374503097245, 748.46841152815978, 749.1148345687925, 751.17940047523621, 751.63830963630051, 753.68261652374463, 753.77655542564673, 754.43016556091425, 754.45027398644856, 755.52622228208907, 757.88653075561137, 759.08849202226293, 760.5167312707564, 761.84866370686666, 762.84518735849031, 763.07480842685277, 763.96281646590137, 765.09038806245064, 768.2480425577935, 768.86502783633989, 770.74062818305413, 772.15948729215984, 773.98548245711117, 774.12269497703187, 774.51253978697207, 776.1023603788924, 777.02553326920702, 777.04799659139178, 778.49261925267172, 778.67911129303866, 779.79900564533807, 783.7461191786922, 784.0785104239153, 784.24696754621607, 784.33014404188975, 784.78342323778918, 785.12096671233337, 785.61413621953056, 786.94422455105246, 787.47709998612186, 788.62372213848164, 790.82222533069842, 791.25061168287414, 793.10825276111439, 793.60512806170209, 795.32277656523888, 795.57469077849146, 795.7143581009758, 795.89654807745285, 798.75391919404626, 799.95632326774171, 801.59266941217561, 801.70136548811058, 801.93163663575069, 802.49972265577799, 803.90161813392876, 804.42205739824976, 804.61327501464393, 805.36192862118764, 805.67141995963539, 806.74679787069931, 807.35366078806089, 807.72494499799632, 808.69303370449813, 810.01308030902544, 811.0521520651339, 811.54555722364125, 812.3680629436908, 812.70985810546654, 813.44335987551801, 814.38569370814787, 814.54406355491699, 817.39724704676075, 819.42256567727372, 819.9312299010021, 820.82888269837974, 821.84681381347139, 822.15550249956425, 823.74342778526477, 825.99623072013605, 826.86956370399309, 829.51610999924196, 830.76467225761212, 830.86589518286337, 831.51293101529905, 831.86820822180869, 832.18479398051363, 833.26602105473285, 833.43386788206863, 833.578746588488, 835.01695138417551, 835.61440213720198, 837.67494017127592, 837.7786679118849, 839.92932660302654, 840.45520222116909, 842.3781122148323, 842.87063893224388, 843.63727367505669, 843.7001641362624, 845.31679356371183, 847.01883408087224, 849.44978456546119, 850.19137227455064, 851.62567071160368, 852.88187742576088, 853.16634203998547, 853.43655704328603, 853.73744366230585, 854.04835242399736, 855.76972443065154, 855.81712815129345, 856.03956811814408, 856.31226673239382, 857.64829470570282, 860.72334099305976, 862.176417336756, 862.97244237071197, 863.29436701753843, 864.28247635950345, 866.47721980697202, 868.15133546264735, 868.49990388134142, 868.83231921679135, 868.93202447171973, 870.29299943969784, 871.35382701036758, 871.47456880988682, 873.2035171462428, 874.14375989345297, 875.2608363350281, 875.48924186051931, 876.17896603097165, 876.49454964658594, 876.5985927302853, 876.61874861013064, 877.89965130518942, 879.96329617084211, 880.73112942546447, 880.97561698066579, 881.11986038705493, 882.38775926411995, 882.55628905150184, 886.09030876698262, 886.31395691521914, 886.50632653871833, 887.49587045024134, 888.00516896563363, 888.23566784307206, 888.58301603566724, 888.62326558935467, 891.08925672806743, 892.65293988552298, 894.28165587031526, 895.31696139849362, 895.5337727391036, 895.62635753262407, 896.71195347062826, 900.14472310960377, 900.74784722855236, 901.39934167917897, 904.61225899551005, 905.08543748450359, 907.11911860107637, 907.68256903824226, 907.72363543150914, 910.29247658256293, 911.15568169984408, 912.4833133266759, 914.35047525336495, 915.53730007978697, 915.79524019555811, 917.16895316822638, 917.70097381462472, 918.27129379572409, 918.94637833813454, 918.98202134636745, 919.51514755959352, 922.48538183204005, 924.78441378989044, 925.71189429686251, 925.99431934282109, 926.7591200249442, 927.38574453408467, 927.90339476598547, 928.29641793500514, 930.39188769150019, 930.44246475399632, 932.1644312153868, 933.26939580873159, 933.50236403362987, 934.14658885784627, 938.25560300993391, 939.79296505631089, 941.36518415917431, 941.89461634641509, 943.09334002722676, 943.51403314006745, 943.60638639511126, 944.18510115081222, 944.545581371558, 944.88456614513029, 945.1189091114652, 945.61453309912861, 945.79794380917599, 945.84891902583536, 945.92508016187026, 946.52734315122666, 948.57049482767047, 949.11760353023044, 949.56307660351786, 950.6728945052821, 952.19841782537264, 954.43869315137613, 955.50174826756938, 955.98177183920996, 956.53512958559304, 957.72838064979089, 958.01743290273316, 958.33355011304377, 959.25417440271804, 959.48440363595637, 961.99549931799925, 962.48651931982738, 963.05569276201652, 963.45991661494315, 963.71131970676061, 964.11920531450528, 965.96251762609882, 969.14419582978201, 970.01739068057645, 970.41226414238849, 970.75659983896855, 972.53770203181602, 972.60587456854785, 972.95324502196706, 973.04231335715315, 976.56650384105808, 977.42813774998297, 978.12514531850888, 978.4079629345697, 978.56421781193797, 978.7558325772161, 978.92007987958652, 979.51148709010158, 979.96695052502491, 981.80379430657888, 985.03327686544571, 985.92859409014602, 986.40491049884588, 987.89452829069342, 988.75987188725344, 988.94849810609105, 990.12078603912255, 990.43707721663316, 990.64394540280216, 991.97548815547043, 994.30974309969292, 996.45555561144147, 996.82725017430812, 1000.4414408926585]),array([50.455211570691269, 51.226223895656375, 51.643316871119339, 52.787399028535532, 54.016482695978411, 55.360857442396728, 57.565633164795507, 57.634942656432898, 57.798307293266042, 58.225768790915232, 59.701547436431333, 61.47044360035558, 63.730980792015004, 66.335309259242379, 67.260832715458164, 68.900496267776361, 69.518547901169086, 70.024663707253779, 70.493326558892988, 73.940104300212099, 74.486100092683586, 75.68562568789126, 77.770819833201102, 78.005295474801827, 79.562689715551073, 79.763142302959693, 80.724727685207938, 81.177231306800792, 82.331540746655477, 83.057566855822415, 83.295763340681475, 84.499394951619578, 85.866847691285201, 86.736186183778443, 89.447230755054704, 90.338549068756137, 90.896514511988045, 90.99340496552243, 92.743504533239005, 93.291742871554803, 94.513088982297376, 94.563460094260321, 95.015400016228341, 96.373345798541052, 96.599650877369598, 97.124407669216751, 98.336235047641438, 99.473352870049098, 101.01619878919576, 102.90028004350484, 103.41093637576941, 104.71539646776419, 105.10440456868869, 105.50582085270366, 105.53967964842184, 105.98427808887176, 106.33489877158163, 107.0296061479697, 107.05807232893675, 107.79436335814448, 108.43618302566024, 109.911101383569, 110.17506094789717, 111.27287205698322, 114.32482153032633, 114.34993790851271, 114.53099633686733, 114.69154418231318, 117.99869551225876, 118.95500647944149, 119.02325649315156, 119.94409743307396, 121.6855226815442, 124.00042097370287, 125.46124919306077, 125.85295641743329, 126.9792509875945, 127.05897121882792, 128.31722094779715, 128.57397307031005, 129.65025841806607, 130.29355428870235, 130.45668935633736, 133.88511720975913, 137.89714502884124, 138.18134144081006, 141.98755621357836, 142.49010405413878, 143.71834760130142, 146.03739693430077, 146.5965709157351, 146.65039121254762, 146.74637402722911, 147.10191729858815, 147.56942828284761, 150.18641486087768, 150.26381840175227, 150.95337195783273, 151.47378397736875, 152.30483072949687, 152.85384075767044, 153.24507363904664, 153.29655962799515, 153.70714628660249, 156.90072289264657, 159.20060921079892, 159.99748945304347, 161.4509789729764, 164.51330835177976, 166.30861971695711, 167.09972889812937, 167.24930095631174, 167.95794111581446, 168.33266204842252, 168.81708439056408, 170.41282197443272, 171.19869785248753, 171.4758052254941, 171.54325464280879, 171.84675825362328, 172.24240593836791, 173.14554813221733, 175.9650898061588, 177.38811311124823, 178.44853544390776, 178.49595194796117, 179.89556814273988, 184.18228924282616, 186.02492071635731, 187.80283068075954, 188.11418006462813, 188.60583195688039, 189.5069712159378, 190.31264698088364, 193.42123111485876, 195.1981032032343, 197.07486988430603, 197.36789692442585, 198.20746644918921, 198.24608387963394, 198.34803598548692, 199.69839429859613, 200.64577450292501, 202.78153305199288, 203.41590524165255, 207.17961142131566, 210.73391653720293, 211.93919283433453, 213.02923570977299, 213.55226115342742, 215.11486897961353, 216.7403840888006, 216.84962986410389, 216.92699355114328, 217.26395198113593, 217.61934526342634, 218.67547040437302, 218.79267016842209, 219.66084995486588, 220.1599149000948, 221.07718983279204, 221.19574872317256, 222.95701143779823, 222.98041054481979, 223.74879746218315, 224.72174164354141, 229.6859443718003, 230.64874136802314, 231.26213500563915, 231.31130659582348, 235.13223534753055, 236.44513086989593, 237.44795788258807, 240.70917152845138, 240.87356791807349, 240.94315532301928, 241.27948148469426, 241.32615536897032, 242.09376582428555, 242.79555952444889, 243.16583612298362, 243.54920094802978, 244.51931698760529, 245.85836139593312, 246.83822940902158, 247.96226225428876, 248.86709552108451, 249.21541780885261, 250.25237051068609, 250.59074414776279, 253.47824478240005, 253.66967672931861, 254.3379562104129, 255.0190734943649, 255.15913450651379, 255.67513021854739, 256.3412226436015, 258.42265264654577, 259.57517921184166, 259.60149397568699, 259.70303570696376, 261.21223563323099, 262.01860998513939, 262.13137180104707, 262.7693195969776, 263.68333265086972, 264.09388732636381, 264.65562980738792, 268.6041429044144, 269.63017846724426, 269.7794256064708, 269.82137200662527, 270.35223058726535, 270.39064842969469, 270.8664308349197, 271.18615183038366, 271.58744396908793, 274.77377063569827, 274.8210036993209, 276.91993109285647, 277.673989604062, 278.75794958764203, 279.0861552900501, 280.07630483232509, 280.16788480757043, 280.32555156055508, 280.55043132452766, 281.09371797627449, 281.46652651475927, 282.58343471949388, 282.9692560071515, 283.0520595699777, 283.60132155670198, 284.45362314578705, 285.00968167447252, 285.34023220162317, 285.3769357401606, 286.19806610066149, 286.98231475520203, 287.45095566805531, 291.6721080406183, 293.74636130810268, 295.09294194557282, 297.34920048980791, 297.50732934571749, 297.72180203599567, 297.9432873358362, 299.31032099205305, 299.39282098515986, 300.24891526978087, 302.61473806025953, 303.86499307158851, 304.80858368544574, 306.06726528097664, 306.95986932141074, 307.22951554345013, 309.94762816852909, 310.31670425221341, 310.70073580483097, 310.86546824219317, 312.58024471501437, 313.68324735465433, 314.59061255413468, 317.09622921469537, 318.23266587080519, 318.41133973409438, 320.78615875233282, 323.15375817923075, 324.33756912971756, 324.70349551015698, 325.11006072657784, 327.49371017937818, 328.47697198122705, 328.84781559012174, 329.29714912073723, 331.90227016874911, 334.41874946589485, 337.74496395679591, 339.01487908985968, 339.53713932039875, 342.00152677772172, 343.6254420785815, 344.32601497184396, 344.84339055853769, 346.1682447582707, 347.40956562379006, 350.01710125902679, 350.9754555670209, 351.85992637703509, 351.96674258266677, 354.78431455516062, 355.68861195938354, 357.64842444774968, 359.25184151072187, 359.8933210607961, 360.53551735032016, 360.61989232394797, 360.92564179510504, 361.55807283255785, 362.218685101353, 362.73805145965599, 364.74525826825311, 364.95752624191329, 365.52454496973843, 371.47034587085932, 372.29847263527705, 372.65991733942207, 373.35347037710164, 374.80238769079017, 375.11920465404205, 375.86914925425725, 376.25128502377544, 376.48477565240773, 377.08439128138343, 377.62208007487089, 378.17046290287726, 378.48686904451097, 378.6663854958548, 379.34827394273537, 379.5045178380343, 383.12867139731117, 385.13853114170041, 385.49932131898379, 386.72653767088053, 386.90663749146859, 389.71275709109335, 390.3918625117372, 392.50215178385753, 392.55770874810725, 392.6087555743776, 393.4021234357827, 395.16890976475383, 395.91043390047645, 397.57646203022193, 398.27926561086207, 398.63103936733609, 400.25047136041638, 400.29865085566263, 400.61415068857968, 400.84840772215699, 401.01678676777129, 402.19115401172695, 402.23725981371859, 404.50907211456268, 406.08084414519004, 406.31923207766459, 407.22350353555998, 407.28804940038754, 410.65991264398934, 411.06726909442574, 411.50400770000226, 411.87383002201096, 411.92721568115206, 412.51488023190404, 412.62326181983155, 412.64981857866155, 412.68625056210487, 415.70007846127027, 419.13580208954914, 419.56233498986802, 422.35326672527822, 425.53179151746082, 425.7265394669227, 430.01809571626927, 431.00339922128217, 432.49621477934824, 432.60741178057617, 433.09102415756519, 433.96565360666807, 436.22641615212746, 436.34579999061606, 436.51773567540749, 436.90182738249302, 438.12321391006827, 440.47026192086463, 440.70435732026624, 441.39984111578349, 441.69980109834052, 442.255842544134, 443.50727019209393, 443.95693704962019, 445.27145322626166, 445.42542444115179, 445.53499240385861, 445.88363340276612, 447.5105572098081, 450.87486035566104, 452.27246819467825, 452.60758023343362, 452.74173587322696, 452.95776366064592, 453.82293707931677, 454.2141455343754, 456.3572435404725, 456.54974517357732, 460.33113299359877, 460.85215707978222, 460.89840806956818, 461.03507746598518, 462.56688744413367, 464.62712100815764, 465.14798295033148, 467.01825037370577, 467.80539515592613, 467.95042662989152, 468.65331048964856, 469.46369915859026, 469.84383761423572, 470.26768392754173, 470.65904985758038, 471.76784008525362, 472.21259158238666, 473.41321104190752, 474.00183466474334, 474.53418986279991, 475.58066646153003, 478.56566216336819, 479.62854440349582, 479.81435640387679, 480.33741505289817, 480.48783278589963, 480.65698998034929, 481.71625142157689, 484.14546070814305, 486.6528885929888, 486.7408600609923, 487.1839146080215, 487.64552416192049, 488.97107285775297, 489.62055764196174, 490.16829425101412, 490.89472211041016, 492.35509506443157, 493.02658543954391, 493.44170965792966, 495.01170005104717, 498.52524459370255, 498.69265585507208, 500.46967483060263, 501.63202702663233, 502.31557574745511, 502.94058191201549, 503.81626835186449, 504.08558541306422, 504.4308074656638, 505.31922497474886, 506.30485212217627, 506.425627807534, 506.60743477882977, 506.93875669598555, 507.88905603222349, 508.09533071047065, 509.83681784290599, 510.01372006545887, 512.14307268992843, 512.29860750229875, 513.58783688750009, 515.04109653292608, 516.74407142588325, 518.96165894566332, 518.99611449393808, 519.11851073141293, 519.4353152842408, 519.59628678945717, 520.59697743847209, 520.65466396326156, 520.92662708737237, 522.19548686115411, 522.6359304043433, 523.25408667874001, 523.74727512929212, 524.08139576281826, 526.86054689414846, 527.35187817207532, 527.78142158565345, 530.65744289160455, 533.0809192622977, 533.31338917855714, 536.25059210078552, 536.58675056048776, 537.83446490529514, 538.05637909805807, 539.60719378553301, 539.92994097204473, 541.30554761262874, 541.48459591276378, 542.13966715134779, 542.4294846714248, 544.25195205441833, 544.45645354713872, 545.52508682696282, 545.9828633749421, 546.36462459183895, 546.8430821535984, 548.10771348299397, 549.28197356986357, 549.52657320137484, 551.74131908479796, 552.62849252565331, 552.95656564309934, 556.81460914487718, 557.2730656670816, 557.79930239881764, 558.23451624543168, 559.33956952172196, 560.03008099457452, 561.7140872556439, 562.39649718266992, 562.5782529706845, 563.61927311182023, 563.94454528380652, 564.49148143963021, 568.3120515820392, 568.71938603368483, 568.98393532760747, 569.50195088628493, 570.64762646659528, 571.6141837626285, 572.16107498654605, 572.6547299567427, 574.53957722605639, 576.41088070084209, 576.64736178128703, 579.99688575222933, 580.51033721307419, 580.73434449639353, 582.21885862842373, 585.39556571819094, 587.04023593989962, 590.07630359137875, 590.27445879629238, 590.8472442256865, 592.60771752734263, 593.85064971582028, 595.76931224028192, 598.70710765344188, 602.54605832861398, 603.93426245660453, 605.24255870397155, 606.61854440188529, 606.66379045048302, 607.04260672585588, 607.93230699134756, 609.27003769651321, 609.98220948356743, 610.20728776820727, 610.8995843931076, 611.01521168748411, 611.27976956592215, 615.49811395291601, 618.09897159516663, 619.16159135874818, 619.64164870762306, 620.26107240928218, 620.81539101245312, 622.47501436276377, 622.63518591154559, 623.10626234048505, 624.28652405624507, 624.53047949361815, 624.94747895841499, 625.93182185510364, 629.21840260690999, 629.52575131376943, 629.89834790753503, 632.42861807572308, 633.67429379100258, 634.4649161310308, 635.5513768734977, 635.96412732898841, 636.78167858391544, 637.09719579377327, 638.39993766595137, 639.18022311412346, 639.6532452497313, 640.00085582507199, 640.27243796752441, 641.92871510737723, 643.04245268034913, 643.67550279928525, 644.29875014959089, 645.77657625636346, 646.52549897764538, 647.10322738994114, 647.37921684368973, 649.01571709827533, 649.96698391479515, 651.16632956845751, 651.28949009754319, 651.35296624489706, 651.96284784352986, 652.28096579383248, 652.81611059734814, 653.07397283578894, 653.34200979601258, 653.55793463504097, 654.08876152048288, 654.34444406591354, 655.14517069945055, 656.00635738190954, 656.57100038768567, 656.70989615176575, 658.64603790139165, 659.90153262241995, 661.35964520653761, 661.8796006959949, 662.61331601860775, 665.0572160031852, 665.57636258670982, 667.50506053432514, 668.71214490739271, 668.76874712787139, 668.86334580086793, 669.99004705425114, 670.60019234207914, 670.70055191466486, 671.0317292700247, 671.33853992928186, 672.17370084891627, 673.435297069483, 674.81994201826865, 676.21177642212194, 677.70566794335878, 677.84044250116108, 679.97001030299839, 680.5932076203768, 681.48214303975726, 681.56534932473039, 681.92472017888315, 683.74800324119883, 684.63671791916636, 685.00544300586296, 685.56616843331062, 686.85544967787939, 687.89744387855046, 688.58701980547369, 689.83157208469868, 689.88202406390644, 690.25933335510467, 691.36551213511109, 691.97780245108265, 693.14224401788999, 693.55588118153605, 700.14018094694404, 700.26140613294592, 701.83594777353073, 702.50916038227012, 703.14270742278927, 704.44633747478406, 706.3896804347803, 707.83909991988639, 708.11888105765775, 709.31192663170759, 710.29132608667862, 710.52141211866183, 711.81106690977401, 712.47222625865152, 713.06061360084038, 714.94425292015103, 715.65689308271794, 715.78372492644132, 716.32449257862288, 716.50858951060422, 719.50356496560107, 721.05383264726765, 721.12436079508609, 721.69954478223133, 722.6424063807525, 723.04904353740858, 724.03436929561371, 726.00750526592458, 726.51291416036258, 727.0256131833529, 727.4280325546514, 727.50306913046893, 727.56482927354989, 728.07172924124166, 728.49270695061944, 728.93943944776265, 729.87129718628807, 731.71792467298678, 734.65485709646532, 735.85862732440057, 736.66001475254575, 736.77418228021293, 736.94142800810994, 737.21534675866144, 737.63363040837908, 738.32547405113689, 738.62410583324015, 739.25548611033048, 740.13921249466512, 740.19753345166987, 741.03754944745583, 741.45968211383035, 742.65353568558169, 744.85004799876151, 745.87563599307293, 750.39647687474178, 750.70880685717577, 751.24345196181616, 752.33273368872779, 753.26781979209181, 753.40389576543032, 754.12572064804533, 754.55756423551861, 754.81942729171385, 755.19597235405433, 755.92014342118136, 756.77216461302055, 757.37253307972128, 758.29681649506051, 758.31695575604806, 762.44995498948799, 762.78123687821642, 764.18118951692145, 764.38768248464328, 766.16146873991534, 767.25038142130791, 769.11554559008346, 769.26539413060243, 770.31566592704121, 772.58835527517363, 773.36720950860479, 773.61545665691244, 774.96010821578773, 775.78428774848601, 775.94888187116237, 776.09426977553937, 777.87423034969402, 778.27990583576968, 778.68240313528008, 779.81397627522085, 781.26228803726985, 782.46929119661581, 783.10822808536648, 783.63749149265925, 784.29567799196434, 787.34594301725679, 788.02422275822846, 788.23154583297787, 788.99231990143801, 789.517741552399, 789.5537834271272, 791.13819308341988, 792.84408300547432, 793.23988585563632, 794.06131569092088, 794.40041996968557, 795.22160235159902, 796.22558059786002, 796.41063009618881, 796.77219825822669, 797.27062602182411, 798.09471238425681, 798.15425534690189, 799.89423465344044, 802.88840677444432, 804.30832745313717, 807.2868572243043, 807.72201523392948, 808.11923826699194, 809.27626193780475, 809.57521587705969, 811.31646533346168, 812.26811033355921, 812.37663096017195, 813.4419893116667, 813.77138612041722, 814.11433315267277, 815.79462333753304, 819.16724302190369, 819.94534485827216, 821.55900937378101, 822.61600965653565, 822.85414196094882, 823.49979915979122, 825.00404631267304, 825.92223592783284, 827.24297936829305, 827.38045206992842, 827.46605525973337, 827.71902621637093, 827.94036877744315, 831.26588415807862, 831.65843447903296, 832.19623037993938, 832.46432563023427, 833.02653351542472, 835.57084629522706, 836.1731018021967, 842.18720425390995, 843.71192804212149, 845.27016475499352, 845.58646771280451, 845.80786783985252, 846.34098085698497, 846.94472456653841, 847.46076856866353, 847.72331168067808, 848.51861543916141, 849.51130597025463, 849.65986098966516, 849.87282572501522, 849.90548963051469, 850.00191586122878, 850.12579643181675, 851.70314434598254, 853.97788723608471, 854.40916192868724, 856.79581056384598, 857.23414317802406, 857.62458357568937, 858.90623076052975, 859.63062047456765, 862.47092209923107, 862.61012855371825, 864.93277361060916, 865.63689484595, 866.14771357310417, 867.47226705356059, 867.70873806329064, 867.7893093433878, 868.21824753174621, 868.64536779085154, 870.78286725081887, 871.0565311631708, 874.02115013997013, 874.93532834490952, 877.36934461583667, 878.45633907941317, 878.9307733293258, 881.39911510243246, 884.75068238565973, 885.52475579509507, 886.73448585652613, 887.14899713467582, 887.77274714361022, 887.98729798218471, 889.23335485911173, 894.54061119011408, 894.84415088114588, 898.84568432953824, 898.94338858760909, 899.7870050557915, 899.98334463918968, 901.92136260526934, 902.79610111468537, 903.32303162516178, 903.69429600914475, 904.58852945026604, 904.68594191252328, 906.33212603584548, 908.12353498319351, 911.11330948946033, 911.41275393839578, 911.45562915676237, 913.10868154473962, 913.92005869325362, 914.5405595965193, 921.52360362993625, 922.15628155614252, 925.80159234125495, 925.93167526933701, 927.03484867740644, 927.54869669520087, 931.18003052686072, 931.24787368174839, 933.57525542364317, 934.27058869211032, 934.29139837788296, 938.62044645411027, 940.67897632716495, 941.15224146581943, 941.22943379262142, 944.21085841919967, 944.23822477168346, 945.60096248987963, 945.77539276821506, 946.11604979282208, 946.15180095151106, 946.25782952584643, 947.30145782317857, 949.03957627549721, 951.62909748066943, 952.33634722545594, 952.72871295929895, 953.49509451310291, 956.15947178546662, 958.76086058531348, 960.4052310110759, 962.56710495234711, 964.99276079576737, 965.02612520335254, 970.4093093893182, 970.74332546782432, 971.7619377424262, 971.86063016303592, 973.25352832161059, 973.87772119434226, 975.66012344730461, 976.90744256059077, 977.31807252142414, 977.56681929651393, 978.46026951586816, 978.54285806152086, 979.63228926151533, 981.36537500874522, 981.4928215470236, 983.4018157037284, 985.48959906510174, 985.65673503913285, 986.73542392482864, 987.3318882986789, 988.55177499954777, 989.7911579924272, 990.27775391284467, 990.31751655256323, 992.23653597240116, 992.51126595108235, 992.87846945631213, 993.81713816528202, 994.68423182605898, 995.04649456552795, 996.9179628868477, 997.03015781542001, 997.11644950587447, 998.91512559027819, 999.31742215251006, 999.58322676697981, 1000.2428737519139]),array([84.054954268001453, 87.500712322898565, 87.934705562981563, 88.305465555894031, 89.048780509424247, 90.336890107999508, 91.003092976068231, 92.077011112333309, 92.216896529615369, 93.930746249722546, 94.591331863040864, 95.481203984879173, 95.773467392880377, 96.406816901909565, 96.529507063280192, 97.055330373230063, 97.097831842925004, 97.949169276164454, 100.21542432240692, 101.69402987423115, 102.98574938223135, 103.61021599008556, 103.82788716023794, 104.20368076178165, 104.59729456108815, 104.67184426273607, 106.93248110483367, 106.99236283129117, 107.30627298088653, 108.77400157915635, 108.97991521026712, 109.16410356412824, 110.34201625584031, 110.82361604527517, 113.413344786694, 114.91572839466942, 116.50059322994362, 116.6827979930937, 117.37740204573672, 117.71277304374908, 119.55111387594211, 122.80075705229382, 122.82326330719006, 122.97387664905149, 123.03752106644291, 123.44903688842389, 125.39920141516848, 125.85425408787634, 126.51604388271637, 128.94007394474087, 128.98621676564397, 130.45483228559465, 130.9815105485541, 131.61990949857503, 132.62654680723645, 133.98952049674645, 134.35272153185099, 135.17893869428835, 135.32791728225706, 136.99783683643267, 137.06511694179451, 138.65255250853684, 139.49679887044235, 140.78834566190233, 140.94796782693408, 141.08935802708152, 142.405024647174, 142.78740092224527, 146.31899677471941, 147.44650619744496, 148.98008695252221, 149.53850725741134, 150.1283246135873, 152.08591504183514, 152.61145581460627, 153.310476468232, 154.03378904688984, 154.16018230841934, 156.3858091056847, 156.61620053055884, 156.86965905644232, 159.18857752511818, 159.59378895735611, 160.383763802788, 160.65638303200674, 161.26566506643272, 163.2234140112914, 164.42616054494428, 164.6140266520087, 165.92769172143193, 166.65291206026146, 168.11569858868992, 170.52788097688548, 171.81581629609298, 173.09063455697444, 175.05301079930015, 176.21167995565881, 177.59954243253461, 178.21394469908336, 179.96328319120403, 180.4403851009404, 180.71603316557835, 181.84104166173896, 182.00323257692037, 182.06624125627246, 182.8000652110309, 184.39601967232321, 187.39744256351386, 188.42137673209265, 189.71485061216788, 189.89039045887824, 191.04774594714465, 191.42791527679663, 192.28478236613174, 193.25432629374592, 193.91093733709522, 195.1570163108224, 196.82370306052363, 197.80408364289474, 199.35620093341876, 200.07623550947531, 200.98665929991358, 202.03408640339475, 204.00559776066328, 205.64727794438537, 206.35162806314526, 206.63553490170796, 206.71900934467072, 207.31219243636733, 210.22568356098236, 210.47519219903219, 210.89375884038282, 211.27035327295485, 213.47961840530706, 215.00774643049658, 216.71851630381559, 216.8661427950841, 218.04704833030928, 220.20518267548704, 220.88046442322079, 221.37199901925888, 222.79592293687449, 224.79866430803131, 225.76544453144953, 226.76886971354975, 228.21219769677646, 228.40166334380453, 229.36319080031754, 229.46180825634812, 234.04634357420963, 234.7794268789232, 235.56355654321601, 235.70148815932274, 237.89511589457251, 239.85024111694872, 240.69212954352059, 242.80283587304464, 243.32817839381661, 244.23413975671605, 244.87602999250637, 245.26919748627273, 245.3150138247604, 248.59134509816275, 250.72887064672904, 251.17762621209269, 252.21113117477509, 252.31677631126539, 253.93093406290294, 254.42746424751641, 255.07450979003696, 260.29969651012652, 260.65592871611034, 261.04403395477794, 263.30177807595288, 264.28131565333535, 266.95698066513859, 270.03290324948671, 270.56863800994051, 271.2962571160499, 272.13911424968626, 272.41287256758983, 274.72378763457607, 276.46816614139914, 277.43497828547697, 278.81772736695063, 281.0868894811627, 283.12401818077115, 283.30452837568987, 285.71377966956641, 286.04435609133031, 286.15681128139238, 286.68420768925353, 286.92339458156863, 287.16389135418319, 288.45648392731204, 288.54682222726632, 288.73162387075541, 290.26912623070552, 291.19475643951154, 293.55056115606709, 294.46988900949111, 295.90458651471539, 296.30416990969235, 296.9152281521886, 297.78277162583095, 298.82113189599426, 298.95684265685372, 300.14941698169497, 300.92190262895252, 301.94626179823666, 302.08044547733419, 302.66232091368397, 303.57798783295465, 307.43224374841702, 307.54082920358883, 307.83958936705886, 309.51129933760882, 310.79640358440122, 312.72312138597152, 314.23656046624086, 314.43724811613845, 314.87736227842242, 316.15152879883226, 317.05518648955848, 317.11504861368155, 317.47886737666573, 317.83044495646027, 319.69307399974849, 320.67124748153287, 321.21170854697937, 321.33018318854977, 322.00241439922729, 322.08521955363699, 322.51215516862959, 322.79455863710308, 326.36167185453354, 326.88812082920435, 327.13942803174922, 327.1982163886135, 327.29526797403815, 327.79176582360702, 328.62545938543957, 329.67708336005597, 330.06268173405249, 330.92912777802087, 330.95872156003946, 331.67530333909588, 332.16575518186983, 333.88749588735635, 336.05306036328676, 336.48824663525778, 337.86153442141875, 339.11181101673537, 339.53123177871885, 340.42593908591658, 341.61004807218478, 341.95174878344045, 342.55433163178571, 342.81252470625373, 343.28927650321378, 344.87275027518155, 344.93112367788268, 346.71384858868305, 347.23435874781836, 349.29249375733417, 350.13426706254802, 351.36798544426199, 352.83525210451609, 354.94863638177372, 355.88171979967785, 356.10329772606985, 356.1525097806246, 356.96850826793383, 357.6290823125056, 358.14708333006405, 358.41805673453007, 359.09938036788395, 360.28026373437808, 361.48808322908286, 363.42061792698797, 363.81983380006795, 364.5632819658353, 365.62083493831523, 365.85162851891749, 366.14733374285527, 366.51969939317706, 367.53570510400385, 367.96189604148918, 368.08443179997306, 369.21400779695966, 369.28203800260184, 369.46400933518674, 370.13640134332763, 370.44889891905211, 373.60940302825173, 374.91799795904649, 375.27408962791645, 375.59596060373769, 375.96362329640061, 376.83615072840371, 377.48283555319711, 378.29727710141952, 379.01378262249347, 379.82390715451578, 380.31889827449504, 380.40165740644329, 380.57970539153513, 381.56046006833708, 383.33112211193259, 383.97346202003467, 384.07494295171819, 384.20066054518247, 384.61477134914884, 385.21004463813563, 387.15802314325151, 388.32939356046205, 388.4186990313973, 388.96552396183654, 389.19210001852281, 389.45161779015774, 389.94875406442213, 390.76979255547388, 392.2571783719572, 394.14781691204217, 395.66173528976697, 395.98481965668213, 396.28505802798298, 396.50833557713378, 397.79589919338935, 400.25829413470507, 400.42325539741677, 401.02908839022797, 403.16277484614744, 403.58318561755027, 404.73779093932325, 404.80617674711618, 406.77262180685949, 409.04654032107845, 409.38620758246458, 410.22947450609411, 413.11406297164609, 418.31456973512104, 418.91646505135139, 420.88686859239641, 421.13717111671093, 424.1936740119117, 424.56666248938819, 424.81669427505614, 425.97946804962567, 426.19210069579697, 426.35539695813219, 426.86177008493064, 427.9518041650789, 431.60666239425791, 432.11621108224313, 435.63397458320026, 436.21941412415418, 439.6164770187126, 439.80954619049044, 439.9220872867175, 440.09717774018111, 441.06037665572313, 442.57414455476118, 442.76864318950663, 445.59927519868415, 446.57530913821074, 448.1704151980004, 451.18619710400969, 452.58276933346082, 454.59303894252849, 456.10775961098926, 456.58426039763339, 456.63159712012992, 457.6369399737826, 457.97104233193187, 460.10918065016199, 460.75048187106222, 461.43912661961241, 465.26674139309193, 467.14194197548488, 467.49830396006172, 467.57770780228151, 469.74771496310899, 472.5800533704649, 474.05407418029529, 474.19789354466872, 474.82643440194238, 474.88798502987879, 474.99184941532366, 475.68544385307644, 476.0925511482701, 476.9361399268119, 480.78683691706084, 485.16103349140957, 485.68857451102923, 486.01080610962083, 486.24981870757443, 486.67950619940171, 488.76108493258045, 492.05017196292846, 492.7142103562914, 493.17303886806388, 493.91886486093489, 494.24154788025476, 495.23164655078648, 496.21613531605709, 498.06365993409582, 498.16643520941363, 503.09164115265799, 504.20261432636886, 504.37776242165052, 504.44854809486242, 506.05959455447481, 506.24316004553191, 506.36823378209954, 509.01722005157296, 511.20861569052414, 511.55853069269568, 511.62711920597525, 513.3008066100972, 514.34870062079949, 514.76105344302971, 515.86250109910998, 518.04844860976539, 518.62178641475725, 518.85764118058785, 519.3550709285106, 520.13414034920584, 520.3602884615525, 522.87755002657718, 524.97185777460072, 526.39942055223457, 527.86692577259521, 528.03617552153571, 528.52731781155933, 529.25036646370597, 530.22865643624812, 530.51350885110355, 530.78225094280663, 530.92591446422489, 532.89723757102774, 533.01915164158606, 534.68480772878343, 535.94269955197183, 536.7026620124276, 537.2769873404975, 538.32079733987325, 540.37603726701832, 540.54283336537105, 541.1335643290904, 541.18265657779853, 546.45993273386352, 546.50679030042852, 546.70388641472607, 547.98046412581425, 550.48181098850705, 550.95483470441252, 553.20850968865216, 553.29718359531978, 555.25247458287106, 555.5156603148863, 555.82680614403466, 556.39982368041819, 556.72050997173744, 557.70482417359563, 558.26857322761759, 559.34812359771036, 561.37476099492983, 562.82116919022792, 563.10199265820381, 564.71495144612811, 564.84557361772056, 565.98485584982495, 567.56629218402657, 568.97188680166641, 571.07084727792949, 575.75187620007034, 575.99711007740314, 577.41104035547028, 577.49412052243463, 578.54730346377835, 579.6607501051792, 580.96458501794416, 583.18223668928704, 584.74169315370466, 584.82448431942839, 585.16807946474296, 585.50170170306944, 585.52192919956474, 587.17028408195063, 587.83983293094366, 590.59080311369758, 590.65197787487034, 591.40746904558125, 591.71979309914343, 593.86827725224327, 593.92212492290946, 594.96666008451598, 596.46567913656065, 596.92310485681537, 596.9760069740297, 597.31051794505095, 597.37571968107295, 598.23458518528014, 601.86495087975959, 603.30039409126709, 603.44640725049885, 604.54918558756071, 604.66971192238873, 605.53368011065106, 606.10081652349311, 609.29835985229124, 609.51102825582711, 610.60178630664052, 613.25328280868564, 613.89478275345891, 616.96419597649685, 617.90680218995089, 618.03718902515584, 618.91533885917204, 620.67649349781561, 620.77921081330214, 621.92482325199899, 624.9096492303787, 625.31437564335602, 626.94633395247183, 627.37861299094561, 628.7872264902652, 632.17092640106648, 633.02799902149627, 634.6340120971729, 635.55063569228378, 635.75738434626248, 636.36801674952233, 640.40182402548464, 641.28156747357252, 642.41181389138831, 643.0244374080844, 644.66185526614618, 645.17419105707722, 645.59505911386736, 647.16947747675783, 647.431414436355, 647.68624570501447, 647.9466631045899, 648.020448183393, 648.38980089377048, 648.86507335729186, 650.14702065672395, 655.32062455846233, 655.52865506205001, 655.76384706396846, 656.97532150064967, 657.49885267265427, 658.45977253302442, 659.57613989512743, 659.91659245601795, 660.60910047064976, 660.93019646884977, 660.95917177703916, 661.86864046018422, 662.16460068867821, 662.52379967833792, 664.33356005200471, 664.96289479177665, 665.88680381254176, 668.47850830940047, 669.30913551704703, 669.75135672704698, 670.95505676638379, 671.15278358222974, 671.73101746505495, 672.5271708252742, 674.01637659380174, 674.43004645240296, 675.58523443262197, 675.74225117825699, 677.39279308764128, 681.42500200227676, 681.68900946674648, 681.95269492295665, 682.55879485102707, 683.06192223400217, 683.35694636080802, 683.38669240855882, 683.50748604223043, 685.07343491964025, 685.66795000585614, 685.81684756317316, 686.2999838244765, 687.91157548679064, 688.65042225305012, 688.77314836779772, 689.88004204425954, 690.44390686910685, 691.16376255662522, 692.62488481853984, 693.93101715561068, 694.31597014054785, 694.97785493168237, 695.05347951245642, 697.37249690680665, 697.91871856946591, 700.27942997410571, 700.97970772457859, 701.35499243880042, 702.95117582150783, 704.4046627242974, 705.02463435855657, 705.42748946593792, 705.71187471678377, 707.09291350308979, 707.27738931492513, 708.1184356912911, 708.20300528565747, 708.44612619287625, 709.82297311721652, 709.92990822664569, 710.54021133693163, 711.26143053645046, 711.79652299185079, 712.5142743353058, 714.40189456019948, 716.54657926544314, 718.31460788470145, 720.46277482587732, 723.68941842758511, 728.06375345212325, 729.14066886797434, 729.26213354283061, 729.29999699248106, 732.48989446288238, 736.31626530496067, 736.85284970447253, 737.00702858551506, 737.89088412456272, 738.96551229766635, 739.01085553566111, 741.90940159447996, 742.49700198822518, 743.76792133609661, 745.56969352035981, 747.00118340685401, 747.76429383938512, 747.78773344305546, 750.31548265551271, 750.45780935364826, 751.484426624153, 752.70917535394199, 752.78938589956624, 753.58318331279281, 754.56749955643181, 754.61759499431423, 755.96097533491434, 756.22657139636954, 756.67958047195759, 757.06641769406087, 757.3238636167506, 759.07023277317944, 764.89248782798347, 765.96132211939573, 768.25790153322362, 771.40671511706364, 771.8220778753705, 772.02700396139994, 772.63294592248087, 773.21673301321118, 775.29561856595842, 776.21456411086456, 778.24745699341463, 778.60962047857106, 780.29430213834769, 780.4160578083787, 781.61217952032882, 782.04655913114573, 783.62900037434895, 783.82692847825331, 785.30528279422856, 785.91577629454321, 786.51692895549309, 788.55956811497822, 789.41732068298325, 790.4743023077167, 792.62721310154518, 792.69764539316361, 793.70162915549236, 795.39355609993231, 795.51980607630946, 795.64738780491086, 796.37676804645832, 796.98572100075296, 798.25892923943002, 799.56319436510762, 799.65163388103736, 801.07138066149571, 801.13087945343477, 801.3709692494524, 802.35793201962247, 803.33756939409182, 805.27275232631473, 805.94801652240005, 806.32078553409588, 806.41847074400891, 807.48153152436601, 810.8765043738382, 811.43963380839011, 811.52364561447735, 813.51804457766991, 814.39076550271261, 817.05530515012219, 817.78558852932656, 818.02857785231902, 819.93443705185678, 820.3712914706191, 821.25353927777633, 822.65594431179102, 822.86857909894513, 824.28269356696069, 825.02102803221931, 825.15236143691902, 827.55197009391429, 828.24452329214341, 828.99790512249717, 829.03290557567016, 830.45514153711565, 832.29032378052398, 832.8660024971997, 834.50721540388804, 834.79165802538296, 834.84119863758065, 835.46646150054619, 835.70584327969493, 835.78406212255152, 837.07528294469455, 837.11489155999311, 838.02151890694438, 839.0905389233186, 839.36319699443425, 840.84585854081467, 841.21405736531449, 842.16227817808544, 842.52024144257155, 842.59815580449913, 843.13304388149754, 843.29828079797994, 844.0223836199749, 846.12914119573588, 846.42061787993566, 846.8848359673475, 849.80420279498071, 850.34009348301458, 850.90975344248, 850.95645846656328, 850.98995018897551, 852.31381106913068, 852.7982728780853, 853.70540906825067, 854.42053516083558, 855.67317363876157, 856.20249397023906, 856.47692800431719, 857.04180493671481, 857.67166283899132, 857.85176907160667, 858.02042374955352, 858.09747381379725, 859.26394074835389, 860.13692500766729, 862.54026572955559, 862.79890897796326, 862.87826371221956, 863.12936788366312, 863.31268062634751, 863.42681655237607, 863.49412509709157, 864.27486724875268, 865.08242328385722, 866.38459443436545, 867.85116006198723, 869.46580543154687, 870.261616378952, 870.96315132731593, 872.22930164478805, 873.15099561460136, 873.66114088883808, 875.16234409306617, 876.03379377179442, 876.42961859961156, 876.68283757965571, 878.02591042408005, 878.22404645188965, 878.31431605422972, 878.84888016266711, 878.97582179433539, 879.97834278650816, 880.36190640921347, 881.24919158604905, 883.78227698707883, 885.31311799801495, 889.87022771411284, 890.37168452542176, 891.17551396113186, 891.57146979770516, 892.28913714287, 892.69310099507391, 893.33753106952395, 894.7311489943487, 898.47502175227362, 898.92590540195101, 899.67847675689052, 900.15812292843975, 901.09398180892424, 901.52395938440679, 901.5656505432114, 901.63591506960006, 903.81727667506493, 904.40749509392106, 907.06645707086568, 908.14099021825893, 910.19354238541507, 910.80804445154195, 911.13122439240544, 911.2833270326513, 911.69641264649078, 913.82239440718342, 913.98343154902125, 915.61956953231572, 916.4991245370735, 916.74026657683692, 917.05675003925887, 917.28637029340325, 918.0842246793469, 918.25013848557239, 918.91862265097063, 919.49897512955965, 921.43280666789803, 922.74869180004839, 923.91802623634237, 928.36940034728502, 929.4464093499297, 931.49386717499908, 933.26021975797289, 934.33858852147853, 934.81728141568192, 935.05600331257858, 937.50386218617655, 940.10126589945401, 940.23952804798182, 940.76970941376294, 941.00244412758843, 941.17132397927958, 941.26866060720795, 942.87171213780061, 942.99545793592415, 943.06946457341121, 944.61813192364559, 945.47550366237465, 945.56398249210383, 945.73651135151988, 949.19108029507072, 954.15010048019053, 954.69713551634538, 955.18656290577064, 959.78319562806792, 961.24041556325722, 961.72429109412553, 962.84301025538048, 963.34712734593859, 966.018274078442, 966.08512775755685, 966.17351268331333, 966.42715220803859, 968.5123854364208, 969.14128437634952, 970.47129167205821, 971.31620933325939, 974.53415741050026, 974.73305010756883, 976.11764597200488, 976.34418137434716, 977.52958376215304, 978.41524701118328, 979.42507242743454, 981.22956678315438, 981.2533720638645, 984.77265113408782, 987.48683936836744, 990.91905120097545, 993.24218395951925, 993.52819913820167, 994.12561492803843, 994.63518710054575, 996.15335577347344, 996.37626376229639, 996.62967453000908, 996.95073334697622, 998.14515485411607, 998.87778808656026, 1000.3037931393932]),array([55.323347726328585, 56.130845118316124, 56.180077621145784, 58.449660604205029, 59.175235342397428, 59.222174465098306, 59.795337315036726, 61.272168684710969, 61.91014656686626, 62.814368292685856, 64.188701969581743, 67.774081012568118, 68.987767393019212, 69.468561126166207, 70.381729401226025, 70.583091713897858, 70.696152292793244, 71.391896262125343, 73.933042435158569, 75.840772293116217, 76.404611989740658, 77.198630863093328, 77.237764984562162, 79.128959677148927, 79.917854403051251, 83.036745429909615, 83.211018900851869, 84.321833083100387, 85.209858493949326, 85.339627190843629, 85.600907690361709, 86.021465541515454, 86.10184112255493, 87.000527977419807, 87.230794834128687, 87.809020066301969, 88.316725265535226, 88.824349789850501, 90.303203011164726, 91.520067782007487, 92.419857593973845, 93.116942320972612, 93.746076543126776, 94.195892355073539, 94.358222805931661, 96.120623487976587, 97.12980097582863, 98.867146875677349, 99.849219284758391, 101.34390685756917, 102.89905770915182, 105.39524301193671, 108.8386905020955, 112.44224170729579, 112.80857574261242, 113.41512772309552, 114.60464496577133, 114.7069508193473, 115.3616994870338, 115.94476190525859, 116.89745624791387, 117.05196303752894, 119.7262834300915, 120.20609357223124, 120.51691088789539, 123.7915376277215, 127.40201343566126, 128.75108985414647, 130.11875172382554, 130.74632077825615, 131.07517621604313, 131.43579557370416, 132.39314421108705, 133.47539436197866, 134.00177235045444, 135.79975866026368, 135.87587949620237, 137.22149010774314, 137.30260138377699, 137.45900883940908, 137.86405514706476, 138.40104413928282, 138.91182610345692, 139.56683928851464, 140.3814086199888, 141.00406118040999, 141.05439490816133, 141.32443269641672, 142.81125795367157, 143.41086169262252, 145.01738604921434, 146.43433154238627, 147.55317443153271, 148.14886706891713, 149.0371594199957, 149.1225218933748, 149.4422807642143, 154.32958493552462, 155.04209307469065, 160.0124602294473, 162.11977742958692, 164.0617511490959, 165.12190760380074, 165.68883056209501, 169.489147810714, 170.63049577920748, 171.26787570974881, 171.46948279313048, 173.28528541446389, 173.31682122491625, 175.7149839941666, 176.32501640488385, 177.89496773816779, 178.53951605955299, 179.22898156371826, 181.69798960828152, 182.00110067657204, 182.32397838826708, 182.46304589058886, 183.62397543040538, 184.22651696605362, 185.10473105821171, 185.80212201948922, 187.91238603869186, 189.58885645218922, 189.9652330869489, 190.90712094934827, 192.19996315892871, 192.4606956548576, 193.34341518272862, 194.78822517402949, 194.93377857653377, 195.49913556565713, 196.00204405703425, 196.39607053649382, 199.51158739366559, 200.09494946840329, 200.20910483949996, 200.41579577185891, 202.22732577178758, 203.00471060459139, 204.4583123549792, 205.92490982232096, 207.55976609192572, 208.36188442496939, 208.86128208771012, 208.89926023544791, 209.36581375481481, 209.6761994457016, 211.19259896084904, 212.56080779146544, 212.62953026890614, 214.12538314313784, 214.94849657468376, 215.76694327130207, 217.40027373371154, 218.65550018399995, 218.85488329165466, 219.21677489831922, 219.86461144759426, 220.81304024818675, 221.27586215350797, 221.30421435078188, 225.31040305918663, 225.42066022411942, 227.37222084094702, 228.29612801049703, 228.88486200118714, 229.1578640357842, 230.92119074824402, 234.18204105737715, 235.73454129823585, 238.7259487450624, 238.8473830753241, 239.6863316918697, 241.9284462732071, 243.02873730301786, 246.37993739232977, 247.28519046318442, 247.57005884336164, 247.88126303191797, 248.18686767969885, 251.22052289404942, 251.3901404707712, 251.47308336070608, 253.27867122363239, 253.92598492500352, 254.78488635918407, 254.84025992195197, 257.9854383156578, 258.25989412609772, 261.98827061127332, 265.22246931487086, 265.84297643240205, 268.40686140717094, 268.79158055855953, 268.86307568135959, 269.68416495056971, 270.8518246684929, 271.16549386182152, 272.07225109072732, 272.34668216655092, 273.02689120305189, 273.93721568557589, 274.39447591614697, 274.9336362494949, 275.77063711223599, 276.41652542411146, 277.60181735826916, 278.18253999201283, 278.74526298328789, 278.83066330516897, 280.01750793992443, 280.37166521198077, 281.17775217117605, 281.80363004118311, 282.51825502572115, 284.6054740955081, 284.9476457598376, 285.03836403944894, 285.78301219332218, 286.10812228014458, 287.49029880192398, 287.61707256803317, 289.66289875828824, 289.87737764415067, 290.54658039494893, 291.78619639612282, 291.96770147018862, 293.6910933000994, 295.77008740527941, 296.19556836984538, 296.87228196967527, 297.4605366652915, 297.74201469813755, 297.99985808536906, 298.93243991157897, 300.61665448176586, 301.1582138988249, 302.99066779787347, 303.80325311913106, 305.13197362250401, 307.17415082287789, 307.51040771624804, 308.75655581481794, 309.35017371229412, 309.62950861907524, 310.30834281557384, 313.89389824772445, 315.55962262764098, 316.03873733300583, 316.58491025644236, 316.76352045053505, 319.04835331776474, 319.09895617043441, 322.37245972458118, 322.86384063765621, 322.91296097497826, 323.95964767205822, 324.65555503437128, 326.38242279339812, 329.32402376683694, 330.00775301690896, 330.24457857908249, 330.62354963318529, 331.44266043628937, 331.4818360668063, 332.0297919118392, 332.10379190271777, 332.57133752011043, 333.59443124203153, 333.64606907653166, 333.70759614862129, 335.33794997065792, 335.70751074627788, 338.0802053062427, 339.033714283042, 339.22534868870508, 339.52975528881461, 340.24595894390768, 340.53267688803123, 340.74633247553288, 341.65227900676058, 342.11021832284615, 342.78949431185697, 344.98879643780543, 345.10635137121568, 348.54776183449218, 348.98846259518541, 350.24761623799816, 350.70398208040427, 352.08637119511894, 354.46751218473776, 356.14327965629263, 357.83459078778338, 358.60559610008363, 360.02495025288636, 362.10932827561601, 363.46450917190924, 364.62495324184181, 365.80781921316736, 369.77558499433712, 369.8921450150898, 370.51962990094967, 371.11392799271948, 371.90752869901814, 372.23857781795226, 372.57535197166669, 375.5681051858964, 375.88322671979802, 377.17435116379181, 378.56688175611839, 380.44477667110948, 383.38995810585254, 383.89026927726093, 384.41754573973185, 385.72235684669374, 387.21323532351954, 389.45483048283728, 391.28678715179711, 391.35693024546748, 392.19050207416217, 392.25533017024259, 392.48119296175554, 392.94810607221228, 393.98306686634572, 394.28921004974598, 394.61107805244586, 394.95584677304561, 396.47583307932274, 397.51538845697849, 398.1580855862897, 398.22077068117324, 399.04352848254229, 399.13774066436355, 399.66487757261814, 406.50253629637319, 406.8443876137917, 407.27489177260372, 407.41613701763515, 407.87896543337024, 409.24885351254602, 409.275915701104, 410.95856404253936, 411.23105707501719, 411.67178132122251, 412.95062541690032, 413.36495992056649, 413.86332091821237, 414.49607173445219, 414.81327639575079, 415.43727090490057, 415.74453323387769, 416.58412941735423, 418.22728812023666, 419.55267042740275, 419.9574081423919, 420.77799946038056, 422.73099698495997, 422.93301327896796, 423.09225367426092, 423.6031666201568, 423.75536065594082, 425.77488001187118, 426.62000873628909, 426.93013600785099, 430.92137363184514, 434.48691597894265, 435.86904541181508, 435.96048555535413, 436.26680384237744, 436.5041398789806, 438.0165951266315, 439.14075439885221, 440.99731250941869, 441.48200087869878, 441.51678314651912, 443.02398289458392, 443.87816311125914, 443.96839213606074, 444.61631724286667, 444.72627658336694, 445.73653244756667, 445.80616369032481, 446.16025011759677, 446.46241094831896, 447.52703003909107, 447.92940280300667, 448.77525326222957, 450.53304830528054, 451.96441297403453, 453.72516255262951, 454.87284048638435, 455.6091395021146, 456.05477596516289, 456.35687630458114, 456.42856169055869, 457.96174881765103, 458.67350385679993, 458.90728164309104, 459.71741425897613, 463.42271655448423, 464.56649547548562, 464.98410024427943, 465.37127469433551, 465.98097550330675, 467.79125174096305, 469.70964203099084, 469.85705927102703, 470.55442373517479, 471.69172655591677, 472.68317577558389, 474.39015403525298, 476.95137843450237, 479.61965080257227, 480.76673864837466, 480.89375481094828, 481.70549899340239, 481.82739465668874, 481.85201097580972, 481.93747957109935, 482.05416183503593, 482.28465546321377, 483.09078254987725, 484.85843983998279, 485.23481460238946, 485.51446135984804, 486.15106490819289, 487.59646397744143, 490.34212495170993, 490.75907745674425, 490.84660071706423, 490.93607452059848, 491.82760152831793, 493.73166683063084, 494.51055224574543, 494.97545915593554, 495.68969160156416, 496.13802763677967, 499.59719561723676, 501.81393174500579, 505.4975650025446, 505.86344142711476, 507.81198830403162, 508.46326541265552, 508.94689606244663, 509.6423106257248, 510.61814352521793, 511.29276229713577, 512.67646750151937, 513.19174079976381, 515.30699113414357, 517.05440476298395, 518.0641399157355, 520.18421753241023, 520.64107729649231, 521.48376669349318, 521.93198570952529, 522.58806767838098, 523.83514541605462, 523.92505301508618, 526.25366496289973, 526.98275766789823, 527.67865171245046, 528.33688230559471, 528.53248016104533, 529.10455709629218, 529.25593785680837, 529.6713713511142, 530.8895357543081, 530.95724318257021, 534.2441326501696, 536.2507541618919, 537.64144117127341, 537.66850294058656, 539.10945817041022, 539.78197860063904, 540.35798645395414, 540.38385931031564, 540.49637311403137, 540.53918401545945, 541.08535418053657, 541.19147940583991, 541.68692930396696, 542.06941763881196, 542.3827998196781, 542.87707959076454, 542.94508814372591, 544.67596073508855, 548.54740116736798, 551.57139205066744, 554.80829254007108, 556.37073138791789, 556.54984111531769, 557.17005487759889, 558.72237708868727, 559.47440044451321, 559.960816241148, 560.33847130364131, 560.91724066465792, 561.06279928599315, 564.5626304591575, 565.08222166743826, 567.42767267659576, 568.14084495804195, 569.93240396289025, 571.72681390879347, 574.7442460633057, 575.71415054938655, 576.37057368269279, 578.3284693207778, 579.1823898580891, 579.25066612203716, 579.47557806130192, 581.75642338182422, 581.86305199807771, 583.48526435889164, 584.19931119597709, 584.28969408927935, 584.59643733357188, 585.25002471928019, 585.92936044127032, 586.04899642819566, 586.72671698655415, 588.87967791623748, 590.31661999950643, 590.97792376086443, 591.25704559292069, 591.44444412356643, 594.67550974268465, 597.50435168677041, 598.36995537943199, 598.63713979403531, 599.49055653841765, 599.99933033136119, 602.09355058843914, 602.96960502233969, 604.736977646171, 605.94322854216443, 610.13392451473794, 611.00910747835292, 613.74986760416959, 615.23724681944395, 615.83980090478553, 615.9866869756388, 617.95300778685942, 619.21150512293934, 620.17529202503488, 620.76934390161944, 620.79285348091059, 621.2050144686508, 623.22777155124243, 626.34223877189515, 627.26167735073682, 628.05147206636491, 628.7302562908626, 629.00545113573503, 629.81435308165635, 634.184243451219, 634.25369296268764, 635.96107982072078, 637.54801296671553, 638.17504785511471, 638.39434449987834, 638.63856503775196, 639.45366011581962, 641.23713155338839, 643.12162883893893, 643.33626294228554, 644.58606413648101, 645.10181032172204, 645.91529540930105, 646.27039348337235, 646.76580815619332, 647.21708359011234, 648.40766117700582, 649.09974597891187, 652.28855783839458, 652.73473519047457, 653.96651103821648, 654.31917227577003, 655.18068608883743, 655.8919248360412, 656.47061862717146, 656.67512928581846, 657.97836419009991, 659.01613417791782, 659.36066388309064, 660.24576547199263, 660.84385077314278, 661.22760108655541, 661.32305917296105, 667.84969248378013, 668.55092732918183, 669.03645318246708, 669.85202810132671, 670.38531589249783, 670.4726168146683, 671.81493532906472, 672.50330776562328, 672.97552316139991, 674.32393201629759, 675.47050787000057, 680.03503374242996, 680.23324018240078, 681.51741908392421, 682.33991036681925, 682.46837566508475, 685.47094251906299, 685.79907729222077, 686.13582883712922, 688.20705408665981, 688.57145571764886, 690.71410974756134, 692.5692244557639, 692.89655269679838, 693.18121505825616, 693.40638587175476, 694.29473954662058, 695.47342447037181, 695.56380305602261, 699.45616111989455, 699.89410809231424, 700.90282910557767, 703.82494574685154, 704.45954803350128, 705.40197088542709, 705.53216847288604, 706.29822547191486, 706.38154987175039, 708.19608571699894, 708.46074729946451, 709.35512492405644, 710.4829120295808, 711.64782145392576, 714.47111688267478, 716.49411629977385, 716.61257775460331, 717.35218216762041, 718.46019705751644, 719.19685652838689, 719.35177883134679, 719.94323208167521, 720.94425366336952, 721.65873488430759, 722.38194839534219, 723.72956403903163, 723.75358910735599, 723.83710331049974, 725.02307166977835, 725.7036458454437, 726.59280711687234, 726.75575486835851, 727.53780722519627, 727.73109005318145, 727.82470211744896, 727.84807142176442, 730.66953789770582, 731.81126487717597, 732.90245943602918, 733.28021116921343, 733.38503069351964, 733.57599190512758, 733.6465226900325, 734.0436852538088, 734.13236241960874, 734.55284271154676, 734.82007084286579, 735.28195412081197, 735.4099195114743, 736.22092129282066, 736.72263483753761, 736.78025944225624, 737.97739378575568, 740.86241618155248, 741.13760866761231, 743.1377415211191, 744.01936038265114, 745.46125531896246, 745.93056393515587, 752.47544395496766, 752.6301688029472, 753.18377476719536, 755.06506862975687, 755.70884998473082, 756.60851872223168, 758.84899866648175, 759.2594832316687, 759.28469575981217, 759.88988848137421, 760.69376627254746, 761.7429914312537, 763.1575127041001, 763.46822931315523, 765.54261441901031, 766.1089045023856, 766.34139623691931, 766.63895834057882, 768.37531986303748, 768.8285029121912, 769.2210018831546, 770.21841272847109, 770.2408344249028, 771.41156664883533, 771.60465115169063, 771.77258291970645, 772.60467488232484, 772.71320288388631, 773.23083945025314, 773.77046306574834, 773.81103639093851, 774.23058367363421, 776.8677636681681, 778.54068110712217, 778.61318752961779, 779.79423797274626, 780.26542881051159, 781.37929953275591, 782.87138561592951, 784.20437245618052, 784.52262674993426, 786.05555923015606, 786.93723231140905, 787.2172318507628, 787.90605612057311, 787.94863286710699, 788.71142485764528, 790.91338815950121, 791.66718783704937, 792.13055999488631, 793.39693970668384, 795.26942225915559, 795.51970701569542, 795.92582249372833, 796.16672170679271, 796.26211049506651, 799.33211351702914, 799.79131166952982, 799.87208009502149, 800.36141677931289, 802.04470400253092, 802.80913195092194, 803.67434232400058, 804.02993369608737, 804.13996495553999, 806.40107963813011, 806.82326983541714, 807.52412209772956, 810.88144841906831, 812.88649920904095, 815.31209681670646, 817.4188364601082, 817.62447545207453, 820.70782729162931, 822.07600006050143, 822.71459222730357, 825.24550056610133, 825.76864777879359, 826.41509641928951, 827.02762943417792, 827.52006285248183, 827.9018853144695, 828.11169305312319, 829.4568034567335, 830.23359868738112, 830.96293000349112, 831.6422606047754, 833.71156653769651, 833.98906048755316, 834.91206714400346, 835.84341603821611, 837.16421275599544, 837.61852271981252, 837.68130232549368, 839.28593807118739, 839.87001138887854, 840.09290415039527, 840.79420021275087, 842.6675116196966, 844.38402576565932, 844.48446671154102, 844.77870283073344, 846.43917405480727, 846.51310104126924, 848.61215588835341, 849.09828104212932, 849.47871940622656, 849.78005322867216, 850.88272912368825, 853.65637113088314, 856.76721355199652, 857.5904312994636, 858.30859433022692, 858.40471447153277, 862.89387404243371, 863.96626499341653, 864.07138188090778, 864.56471817881311, 864.63577142139752, 864.93878315514064, 868.35885098384904, 869.24839186919553, 869.79433801936671, 871.07770060738642, 871.45226739753639, 871.83159526159136, 872.58333225989963, 873.58759103107479, 874.7737100196, 876.52777985171463, 877.76572668820029, 878.66484776681455, 879.49173652062905, 879.66296656492511, 880.2938728810135, 880.5015354767354, 881.27934217332813, 882.69120652206607, 883.06428151165858, 883.79028254952243, 883.83251948715429, 884.42769948291311, 887.02665321582333, 887.67183558254942, 887.99616866675035, 889.12882917775926, 889.22728052096329, 895.53403362730216, 896.30091951656016, 896.5544142989886, 897.90667364811225, 899.63318945149626, 900.19545150280476, 901.8563941379075, 902.13574071022299, 902.23161994198961, 902.51980277425014, 904.22256012032165, 904.99030298655646, 907.08618817581623, 907.89914873457008, 908.02615836576501, 908.7596692737784, 909.1561788592561, 909.44665813963525, 910.71960074588878, 911.91604331877829, 912.4996071855619, 913.38552071326717, 914.56699315003721, 914.85907109404025, 915.06376959533679, 916.30649416549682, 916.79267793143413, 918.71631077581083, 920.38406266649167, 921.85591691783827, 921.9484228087772, 922.01748914956556, 923.08313270926078, 923.2437749191339, 924.03774368154598, 924.47439636330148, 924.8489017314032, 926.25621023157009, 926.7172681279726, 927.10167655611394, 930.08036207472617, 933.08895856144954, 933.60274579411362, 935.84530359580526, 937.68579968379743, 938.19724539045171, 938.43722890588288, 939.64118175972021, 941.94146509292455, 942.21991368906379, 943.47550621643381, 944.89529480051465, 945.30076658950441, 946.85406356854423, 946.94162707873807, 947.51744736181911, 949.06894255284237, 949.33050840362773, 949.54195170101366, 949.76639952535709, 950.66742071707597, 952.55842626275171, 954.83068412186435, 956.02545106761625, 958.15324549837396, 958.18204790826076, 959.13454241725708, 959.87892950314074, 960.53090222029175, 960.68963045713258, 961.45285162402183, 964.74942192793867, 966.07737584846416, 966.47221024157443, 966.60449509836837, 967.46369620954704, 968.77567414696534, 970.09206946953304, 970.17455090692124, 971.03615715127933, 971.24857565908087, 972.42596510109547, 973.15725738696517, 974.19326962143123, 975.3979616076906, 977.22935501522988, 977.6596614600619, 977.72182793094441, 977.81940901181963, 977.92824513748178, 978.03859098375654, 979.13613695340337, 981.78312203602115, 982.6194950868379, 982.6772816094732, 983.73246704510655, 983.76689303704143, 983.85021201917846, 984.76393021561773, 985.38457637539113, 985.43219246780893, 985.63578609531419, 985.68166668303718, 986.71826218005867, 987.14638231173626, 988.40206613611883, 988.52026178497817, 988.58685299298509, 989.24781853703632, 989.85557810261139, 993.5120568502914, 993.90994265245922, 995.59565226469419, 995.73770149380891, 997.55972192109857, 1000.3123447754293]),array([72.899418718085187, 73.08283731966398, 75.099076688804331, 76.509633687007891, 77.359250959587953, 78.391596944070812, 78.696959572724566, 80.087597627593951, 80.462320337606499, 81.765031490332234, 82.144122314070415, 82.319260027797498, 85.419553941396529, 88.520818935253885, 89.604024735331819, 90.933076724070389, 91.236984986846693, 91.783753160966768, 95.121047449103429, 95.156903743998569, 98.118971188162547, 98.808284695445437, 98.883477892647534, 99.431574156826699, 99.583194626201646, 104.18305405459587, 104.36753203602609, 104.44966212840966, 106.60871631383904, 107.85528910030622, 110.2450982709736, 110.60203344649204, 111.27831360975219, 111.38260561967861, 114.23746251211867, 114.27012219330871, 114.42173024034481, 114.56715467614316, 115.04195009411788, 115.52518844636144, 117.0532341348663, 117.42328793345307, 117.69620467103884, 117.83947134526576, 118.27195535881835, 118.44177889400699, 119.81985144946431, 121.88841756198663, 124.18827973752364, 126.89846385562431, 127.0697956265073, 127.22621989240766, 127.89273291558069, 127.97846740420427, 129.52416982943268, 132.06145183572445, 134.24970719304639, 135.46495559546256, 137.8038471764041, 137.99783375835216, 138.16321613235922, 138.24673484236297, 139.75039267618047, 139.87972956894123, 140.32761068270793, 142.16071358422707, 142.82040354425123, 143.71542111862664, 144.27959665097939, 144.82036404143417, 146.32830631155034, 146.3691508430143, 146.6746423675429, 148.62748757746698, 149.16141988332882, 149.3311832009513, 149.9872193844202, 151.31981028691393, 151.70780457754626, 152.61867951101684, 156.09609572218406, 156.1237509452759, 156.54797587221418, 156.93985874375548, 158.60083827294574, 159.3804711695575, 160.96935932168773, 161.78071825114736, 162.31002887093686, 163.36093784236007, 165.6106198510702, 166.05830399372383, 166.58703876768632, 166.91846820422916, 167.09165860029395, 167.71038439465568, 168.58174198720718, 168.68383422172568, 171.22060348442659, 171.87828275817074, 172.26146898800874, 172.48285446776032, 172.87410594689504, 173.21012322880489, 173.4156140527522, 173.47330448736341, 174.49739531999299, 175.95519470330672, 181.55100680386062, 182.73803651374459, 182.91590016253505, 183.09628728451952, 183.17819570568278, 184.56072400081149, 186.11486015615262, 186.8088428361657, 187.20078695373186, 188.60355146868022, 189.00139412979263, 189.22832675204702, 192.06031785952837, 192.91691240195195, 193.33870352312186, 193.53436923083552, 193.61730711125028, 195.97749276629617, 198.58620063093744, 198.95169467851903, 200.5811185304149, 200.96896772160991, 201.31842806437521, 202.99136115070462, 208.72894831316194, 214.27850486214032, 215.03026075617993, 215.54898511852579, 216.10961767751036, 216.80193753431507, 217.22492504310983, 217.60656696231308, 217.77845588349953, 218.33691244735147, 219.05440497481612, 221.63735253328167, 222.3847202549193, 222.67887342583893, 222.96778458866592, 225.38401295027461, 225.64253455267581, 227.95848017597737, 228.08700321000239, 228.29484106742927, 228.67804826686486, 231.52717327056928, 232.47623095203087, 233.13880087720892, 233.72089977766225, 235.09553678136623, 235.12724785617129, 235.44601469714291, 237.022110354272, 238.55503916085448, 238.59365198177935, 241.42496668040263, 241.89636376321312, 242.19742097837894, 243.11875920437171, 243.73251409688024, 245.0445500880717, 247.4935619377807, 247.6136005823594, 247.78930678415531, 250.14589522717876, 250.50233061320813, 250.91273562519152, 251.32656926167496, 252.07270959813252, 252.25763889589635, 252.53202970256524, 255.09911447617793, 255.48050584874292, 255.53498199703188, 256.16963242864983, 256.32815636387585, 261.40442827212587, 261.98005438437048, 262.29255717396836, 262.94099149410903, 263.5488394500353, 263.73017323049521, 265.85107983173145, 265.95024759807393, 266.1576412278996, 266.701477035511, 266.84909855270837, 267.64757949273491, 269.09156915491906, 270.74087146062135, 271.18192753244716, 271.26636327470618, 272.11421110698922, 272.3815432720092, 273.0178212149649, 274.77765183934758, 275.62602671305081, 276.99851859668672, 278.18438723747602, 278.25803905601344, 278.54124541603062, 278.93391872536046, 279.81798126578752, 281.67039254728746, 282.40396021795414, 282.53703627543996, 284.01772237602523, 286.2173700768526, 287.689523889903, 291.22207224785882, 292.01763655949077, 292.62044902957223, 294.00091031452331, 295.42898981246367, 296.15492885788746, 297.25647795055812, 297.90021389407457, 299.36782842737244, 299.45962362142279, 299.58621466361217, 299.82951307363186, 303.16124470985324, 304.27272625731081, 304.37016617013643, 306.92892744029461, 308.11678755152644, 308.31790910053206, 309.11993841181288, 313.03346391502276, 313.34595187101786, 314.02020897361808, 315.27016352152629, 316.38368349254011, 317.86598668515808, 319.92021417743729, 319.96785142046969, 321.46067240238187, 323.66394012256012, 323.85619036856383, 325.92226142252434, 326.23669160876744, 330.79801689759284, 331.01781752323359, 331.73812355142758, 332.89864874559839, 333.85074642988559, 334.90937873130804, 335.62677326316913, 335.89048391891754, 335.92743057858456, 336.550376800408, 337.2241213015439, 339.19533769700126, 341.77578597290005, 342.76756887174628, 343.63753712848188, 344.89577540815793, 348.8216700180725, 349.32666475236016, 351.58023141021448, 352.15570756355072, 354.62175308688529, 354.69482260118212, 354.86583034467571, 355.60881433137422, 357.37247806418145, 359.11217741856723, 359.18023636381207, 362.22249992286856, 363.53637222720215, 363.93441176617563, 364.41408704598979, 364.78350199163737, 365.25962165701344, 366.16820334733615, 366.38436643351201, 367.21971356457357, 368.77093053042819, 369.60615691439858, 369.63767429334774, 373.25835621326752, 373.47837664130276, 375.94064272975822, 376.20679761037428, 376.22867028300232, 376.42538716835031, 377.83469952881597, 378.7783597337887, 379.20247617132196, 382.5206552996965, 384.98634806346115, 387.58581643327608, 387.79101454237917, 388.06077190046938, 388.09566826508552, 388.72640467400515, 389.47167428065688, 392.04951121699747, 393.0612891466094, 393.52156447778106, 393.80906190087023, 394.81445080269577, 395.15152645090672, 396.87375713525461, 397.29924131379482, 397.6033602003755, 400.06006029329592, 400.89431353023338, 402.36072541618165, 403.2340268097949, 403.47940176491886, 404.66464837469101, 405.56684961994461, 406.93778985464058, 408.89078005100788, 409.65778956122375, 410.33734851429585, 410.38540317252085, 411.46755407666728, 411.99346829590968, 413.06046862615381, 414.25109116697428, 414.8161701401138, 415.57686715297598, 421.48048755145584, 425.68507699016476, 426.67989066606214, 428.23815453530625, 431.43264024182713, 432.38414778817599, 435.54547499826151, 435.58515203990981, 438.62903712815785, 438.8049130318085, 439.07524222123124, 439.27638763491262, 440.03997664564872, 440.12149990491929, 440.30091456499389, 440.73599709255603, 441.5994222059831, 443.21692170152761, 445.00129430444468, 445.04629922440472, 445.90195478707403, 446.54683630155961, 447.249506411776, 448.73631825271934, 449.59404697601292, 449.66207428954414, 450.15564338320291, 450.79950976548628, 455.29931465014892, 455.78817657659761, 457.05234997600741, 457.49266460233315, 458.39652055283483, 459.17528174930294, 461.05606097314029, 464.35393877491191, 467.12100147483983, 468.88316603642755, 469.19304842643612, 469.67720734470885, 472.36132013535541, 472.96072944684101, 476.20589366924338, 476.45628137970192, 476.9959590528087, 477.34672304356735, 477.53116969808525, 479.01699517569193, 481.72382677627934, 482.10060975598191, 482.64590312658271, 484.8297616069683, 486.06754963792213, 486.59711309078432, 486.67376690744811, 487.92061445719327, 488.36208488995277, 489.33645368826677, 489.39497207174907, 491.42077769799243, 491.66798108968726, 492.49210671089662, 493.9882775288637, 495.12100381625152, 495.5052968479124, 496.36082677730099, 496.4712904892977, 497.4028876110275, 498.80137740170142, 499.52045354537154, 500.71709343783226, 501.04130895303422, 501.69392230789123, 503.4287891801946, 504.00449831041226, 504.37132258960156, 504.69015561268338, 504.85350814500424, 505.20344800202804, 506.12752883271941, 507.82236431831757, 508.23074251481773, 511.09380175147982, 511.98926170125492, 513.92656326369354, 514.47383402588139, 514.99035915929858, 515.16074391655741, 515.30385994614562, 515.90659831984453, 518.16543822312474, 518.22396779894245, 519.62501876636793, 519.80172740292301, 520.07548594067805, 529.14131756301288, 529.31061874972249, 530.72735347339847, 532.3922501178431, 533.11676549632739, 533.38945119036089, 535.75253125771349, 536.05441547920236, 536.76385156255094, 537.87259979279952, 538.15722077957003, 540.83724486000278, 541.7028621548352, 544.82235931742844, 547.34587265969128, 547.40211076154685, 548.53822227539536, 549.61205736206136, 549.77351896460084, 549.81581018731777, 550.40647250920881, 550.57831730916814, 550.83923253217336, 552.22380511203573, 553.43434690889444, 553.45788822600775, 554.33854506907983, 558.26265045729679, 558.91319641151324, 561.01161703641412, 564.01591036389209, 565.02576883585141, 565.41900590777493, 566.80251567518212, 567.33735323947315, 567.52404047285916, 568.5852198141348, 568.67071271562304, 571.8662155198374, 577.81832633270767, 578.48972191668076, 578.68554402006612, 580.99111411688227, 581.51084634020117, 581.81634164728939, 584.05641998005456, 585.37602443050037, 586.86244242163821, 589.04404808303195, 589.56272774011165, 590.31444773893986, 590.78119107854593, 591.00204631508814, 591.11523702734667, 592.74089884041223, 594.62140539786037, 594.71156642718267, 597.35332091864552, 598.90948433736298, 600.34217334521907, 600.57038634726609, 601.2383864391104, 601.72593313029802, 601.91144687967346, 604.1469080415784, 605.91260703647254, 606.23380667755282, 608.2288095876421, 609.18750113307635, 609.56314741628216, 612.92925765444886, 614.46920659592217, 615.58779866282123, 615.69848324242002, 615.84511846904491, 617.08159376898232, 617.69180758406151, 618.31641380385634, 619.7509383725826, 620.87774012186821, 623.58666432897292, 623.68327349112474, 624.02237033504127, 624.63234128439376, 625.42756644197686, 625.73882183063859, 627.1890302941315, 630.56442148707333, 633.52267426029914, 634.74667066566394, 635.06229124988795, 635.30606740338078, 635.34056238205756, 637.13905030394528, 637.21895789794678, 637.60669029380665, 637.62752453128621, 638.28227690728431, 638.36263699689891, 638.56889670905309, 640.95905800781668, 641.49264949416613, 641.70489441592952, 642.15141021128966, 644.67923725667947, 645.3911500391622, 646.00516132505209, 646.62280887828717, 647.62386117940298, 647.82522406529722, 648.44256855477818, 648.578736479535, 649.56616071511985, 651.58771202881564, 652.93173710370525, 654.75356208760581, 654.88816955015716, 654.95020082209442, 655.7478703693946, 656.64604807117962, 657.39811993654803, 659.57758797506176, 660.40828306776859, 662.13524580947183, 667.24149134231152, 668.16574538177338, 668.49045350809683, 668.94388241681031, 670.07319269571497, 671.52115818569098, 672.29453354417365, 672.8893205316441, 673.28912748861433, 673.42533263013991, 673.78104643090069, 676.59743583717557, 678.61462578128885, 681.41267787647735, 684.24745056016036, 684.33099037663953, 685.11719684558329, 685.909786453994, 685.99836863887811, 686.60210584770562, 687.60795560382053, 688.07931761539589, 688.15430428963589, 692.74138474769461, 695.30846341591825, 698.71798868686528, 699.23407741270387, 699.54327320213429, 700.98665332526286, 702.44895808011279, 702.68935752765549, 704.49546514062285, 705.69888547085407, 705.97356046235393, 708.56163224021373, 709.03157096063387, 709.85777175801468, 712.18570759312206, 712.21170948050928, 713.58365135747886, 714.22107863562724, 714.38263864979695, 715.53069105276006, 717.40768143691525, 718.18218648617562, 718.66307705014037, 721.43759304176956, 722.04245889170841, 722.29783922703336, 722.59783445434869, 722.91785228274432, 723.33129308805792, 723.85959720193694, 725.55472948206773, 726.30630206509215, 726.35761921000972, 726.38065496350862, 726.62043916419589, 728.80711639766855, 729.39388909897582, 730.11854893444206, 730.32327832819556, 730.997517568224, 731.68640579094858, 732.5546767568934, 734.43790768960935, 735.81274149736294, 737.80102844877331, 741.36795796971319, 745.01044390946049, 746.51970569432876, 747.09643221785302, 747.91540600724818, 749.9133194972793, 750.13611823290466, 750.17714461177161, 750.63183710424983, 751.18069572771174, 751.88341745850028, 753.5148560852025, 755.71393338272946, 756.81787021567368, 758.20011889969055, 758.44438718965785, 759.57602529603753, 760.28908621098151, 762.14395709508926, 762.73374828125782, 764.38278754366718, 764.53085506822958, 764.80373766471939, 765.92979521553457, 766.61348912925087, 766.67419959197332, 767.27511759585298, 767.89409192992764, 768.41733375134436, 768.53835705371193, 770.70952496569373, 771.15556997610236, 772.083824967998, 772.68527454312846, 774.7305793841258, 775.69960587409298, 776.08142896313757, 776.74053349225073, 777.20320231407186, 777.29714578106871, 779.41646827944874, 781.81230165393595, 781.92394195871157, 782.22908484274296, 786.28642779284735, 788.29710701833244, 788.59762090663583, 789.76590505498984, 791.13760724610404, 791.44210228998588, 791.73805441595914, 792.10300649392013, 793.33722905168634, 794.01661082932696, 794.58355748510041, 794.77891224838345, 795.17757016570545, 795.6164927784032, 795.72678662767294, 797.51886954965892, 798.9953844785864, 799.1235966484129, 799.48526089698009, 799.59781171863722, 802.96435502093061, 805.23615461394843, 806.56019233410825, 807.0649327348109, 807.75857599170899, 809.89145810731759, 811.86431449678878, 812.55760604206773, 813.78760349827451, 814.29066895549829, 814.37277233499742, 815.04115539907775, 818.39620670956765, 818.51142857461923, 818.85630445179254, 821.47328587668153, 824.00444844570552, 825.24409709863676, 826.32297898041384, 827.0528747652495, 828.05541468028036, 830.08248537233874, 830.85990114404888, 833.67652939547577, 833.81289839945703, 835.85312765845867, 836.97197428135746, 837.34382237576858, 839.26514336173159, 839.97155275845478, 840.49715791946358, 842.60854438203762, 843.06759453525683, 849.18740320551592, 849.79049974564839, 851.37784425946779, 852.09065347207081, 852.99581644112243, 856.27287816062835, 857.50771878635601, 857.74368283922684, 857.88856793336595, 858.58272118152479, 858.61003531379947, 858.82847907788926, 861.43857083888543, 864.99849055142397, 867.4695409772379, 868.27583935260441, 868.45995226998491, 869.19028804500192, 870.03068650625596, 870.27620026296142, 871.25776981598199, 872.79536132483918, 873.3687595829133, 873.77400336766823, 874.29610209404268, 874.85400059006554, 875.29522361753334, 875.62459169014755, 876.09750411190919, 876.57419695993121, 877.5507351791473, 877.911950550185, 878.84925814756787, 881.50586156448333, 883.84511085914255, 884.00105428601375, 886.45840501417968, 886.52075318527056, 886.64271638704133, 887.09434501493047, 887.16139193768481, 888.91875900980574, 889.28639442129997, 890.0969093076526, 891.35481112622347, 892.97515573252531, 894.80036733619397, 895.43754999539362, 895.68616502888563, 895.91774766967353, 896.1881561369363, 897.48686724719539, 901.48698821470759, 901.81908785816256, 901.8724202883202, 903.31821436596636, 904.64226566319792, 904.70348845132287, 905.47198218706023, 907.23897940511711, 907.86487215066143, 910.70136549124868, 911.47714180178207, 911.57998686605833, 913.41658346894576, 915.06451111867489, 915.433463831219, 915.52192014416744, 915.71106444762472, 915.89130262079516, 916.23615080997808, 916.71003274601208, 916.77274101471846, 917.80532183301455, 918.35854074102167, 919.07986433143128, 919.34044008153205, 919.82712469234593, 920.31711811779735, 920.5114648280595, 921.02003603089429, 922.28438702170104, 923.5771678099477, 924.28435612137332, 926.59345513549556, 927.1090133590842, 927.15802143444455, 928.09785129233251, 928.33262092335622, 928.46788647033304, 928.95728973134692, 929.20122046458084, 929.8966571063736, 930.29520976843673, 930.71552683029893, 932.31272209343592, 932.68032010781747, 932.81239843028754, 935.65768988677598, 937.08637327815597, 937.42488107710301, 938.26701895052258, 939.54162570531503, 940.58714811753987, 942.21684375418431, 943.59890979643092, 944.74822263295914, 947.6019959100438, 948.1294494189616, 948.82593540154085, 948.97986370041519, 949.03304945287903, 953.08648030048289, 953.62083868105981, 954.2865681062915, 956.46487268458384, 957.06072141018296, 957.68143271227382, 958.51186638712386, 958.71787116479766, 959.37979283547099, 959.70158581970009, 960.88338222019559, 962.80272589661899, 963.1454589270528, 963.3318328267809, 963.95090077147097, 964.08171325812953, 968.33174455640119, 968.40091635549027, 968.67484989525212, 969.03096979065617, 969.37399582177841, 971.57010798841816, 971.69887920443807, 972.05205107868596, 974.45741447042883, 975.39075564365271, 977.37842447090202, 979.34927322423835, 979.77919244437305, 981.19788844159325, 983.57935466119693, 984.70798078077792, 986.42058557038263, 986.65828054689496, 989.1899465319583, 989.50193613047281, 992.60330892798572, 992.96315818636333, 994.84597591787849, 995.09735175995138, 995.80883816296682, 996.99641113087296, 997.16177683107014, 998.63870640120444, 999.78605382676096, 999.81801343905431, 1001.068663778422]),array([71.980967596003296, 73.367586005883268, 73.56979293915677, 74.160628595039654, 74.655092224073741, 75.188527747999998, 75.594926747800557, 75.814799818239123, 76.608658646177005, 76.869077294550053, 77.820885452836293, 79.669050728826335, 79.958883366057393, 83.437496203205825, 85.063211401419011, 86.814983137018942, 86.929364363996712, 87.083010593317113, 87.458841123119072, 89.95932464814895, 91.149044032495979, 91.479076484592255, 91.87590650165032, 92.565005852634229, 92.818524389250769, 93.263009897195047, 94.135951771900821, 97.312344706441181, 97.911721729301462, 98.086531063155704, 99.297482201941463, 99.677466835180809, 99.74047285177366, 99.930862200813351, 99.984853496787778, 100.58860706603109, 100.75047858799681, 102.70471030812263, 103.28009487874914, 105.04788941355167, 105.49380982758977, 107.1955392237313, 110.45380360607115, 111.42395218579692, 112.1063100699522, 112.57464788375124, 113.26570979079342, 113.89846087290549, 114.52797863517875, 116.56549920424757, 116.8601172599801, 116.89385083912529, 117.05794332002114, 118.21605555305881, 121.37895522085113, 121.46822739306697, 123.20323580416395, 125.06961911264925, 125.742210367881, 125.87894177258121, 126.83084766688958, 127.43788303050259, 128.14837571657975, 128.72271057298136, 129.29941115074328, 129.33014860198759, 130.75257037100513, 133.00142538945869, 133.1447441218975, 133.85228556857712, 137.51505294300966, 138.7979055509754, 138.93225071772628, 140.68864843361746, 140.74936760982993, 140.81307678040903, 140.95708538085353, 145.92029997904299, 147.00059417021683, 149.49336985655802, 153.97581255577214, 154.41443361513595, 155.25340668899955, 155.73543543903904, 155.81528155391612, 155.86957528471837, 157.16275923162632, 158.1038967999433, 159.70204338094874, 160.53400686933506, 160.89660263812002, 162.49447889400562, 163.3462481376491, 167.06565231990302, 167.65486733614497, 168.700745732732, 171.19098068661336, 172.03075453995805, 172.13692704638208, 172.75763211300858, 172.78078418493411, 174.94004366032593, 175.22613673544222, 176.15454587425458, 177.82763275760107, 177.98786581006618, 178.92716415660902, 179.18030022568894, 179.45227668312126, 180.46083149673495, 182.5085641920661, 184.14019967398829, 185.22508399528783, 185.82977706158414, 187.0333460623655, 187.96154001162503, 189.42897506692111, 189.9091881228654, 190.78466927816504, 191.58235373726552, 191.85503645100212, 191.95431326855854, 192.00226771013922, 194.25177716128044, 196.14035242632769, 196.63551638756661, 198.25216955963072, 199.11637672039348, 199.81624959027343, 199.84951026163861, 200.21150123418263, 200.86875897855566, 201.60224857382048, 201.72294061519267, 201.74852825345113, 202.58941536832916, 204.60982866254295, 205.41080926571678, 206.00542325848323, 206.39799628699109, 206.76892492621525, 208.09132819913717, 209.55783433364164, 209.79133313283802, 210.08138532266486, 210.23173987764383, 211.97883953751281, 213.75259266153137, 214.39275711267109, 214.94938700704427, 215.81622330934619, 215.98500001387544, 217.13828230639422, 217.40539436383895, 219.35926465548263, 219.41775688848696, 219.98726180460449, 222.12516664849539, 222.40977737406189, 222.5219079842652, 223.11638711787299, 227.39196160795819, 228.11104649827413, 228.62151588096532, 229.54682268720987, 229.95515374257184, 230.17017300683537, 231.22796018612772, 231.51334637537383, 233.63589564260076, 233.95028639096657, 234.01254912815119, 236.83933959913028, 237.63518166670696, 238.87810551954612, 239.78481019010712, 240.36575237364258, 242.0464348576848, 244.86297468221369, 245.18755124001072, 245.52096966784694, 246.2166539034873, 246.52502983543414, 248.04222273166371, 248.76048191136371, 249.13144496621737, 250.84110518965431, 250.86431578923506, 251.66011155097902, 251.78884737617949, 253.68530969665946, 253.84411458840856, 256.36713310668949, 256.39638350500184, 257.09321417806387, 258.12741094696844, 260.03564112190179, 261.24484852450723, 261.54877975720206, 262.66128635302039, 262.94414381796349, 264.632283908575, 265.97794550022979, 268.51801127561083, 268.5779205113962, 270.29376393497751, 271.4622888979448, 273.14906048562335, 274.08394754011545, 274.89790801376103, 275.03326184988759, 277.98532207159826, 282.32687631018337, 284.80152757913146, 285.51982870209355, 288.0966967908455, 288.79450920299752, 288.82196460241926, 290.74479732500896, 290.88880316720048, 291.75651555872639, 294.10289169682, 294.69507228007581, 297.95846193424813, 299.24872214146905, 299.80249224315918, 301.21710940936941, 301.40306916853916, 301.90233672436244, 301.94921664107477, 301.99592421172372, 302.3474101737865, 305.79936505072004, 306.88658389417304, 310.21661221174469, 310.76021000468302, 311.74055485142179, 312.26678862778567, 312.54715724334591, 312.65537545996898, 313.74271536953364, 315.92617055665596, 318.07064160999903, 318.30162333794988, 318.53644959388419, 318.56537671303846, 319.23824323653957, 320.97730184716602, 321.96432155002719, 322.50053771208025, 323.62151736176526, 324.16074820370363, 324.44175791077731, 326.56863096372479, 326.85064567993055, 329.05294209091193, 329.2152718462454, 330.31597688243039, 330.87208566583161, 332.46835639480412, 332.59239216559985, 336.08129623147755, 338.79732818568249, 338.91725919004915, 339.02319235703624, 339.61490248930716, 340.88583859970663, 341.01818363851157, 341.51430424794302, 342.12167856349589, 342.17890876766506, 342.82405382597926, 346.34940708410107, 347.31036130285156, 347.6753994095572, 348.4284003364798, 348.69305145559343, 351.71484217829277, 352.12754987790578, 352.23458159128421, 353.13337871865258, 353.39499881791494, 354.61722284364413, 354.99885780578683, 355.23469951208915, 356.01850770483884, 356.48567020385462, 356.64122228401601, 357.73895315809915, 358.05223832556823, 358.20394467502388, 360.44231926642567, 361.85196363723077, 362.10843448050326, 364.58882342244522, 365.3029974571287, 366.10979438119097, 367.68120088407517, 368.1926947462419, 369.2777344274927, 369.50772993006376, 372.46477960290906, 373.22859433483916, 373.25571985767067, 374.1808630012647, 375.08570317352275, 376.36612973113432, 377.91145009974673, 378.38291958280638, 379.55532385113514, 379.99824216816751, 380.87500215325639, 381.0895220690212, 382.32620516914659, 382.62961952496994, 383.30499125369505, 385.16306761655557, 386.36186222324545, 386.90381603215468, 388.12054666338037, 388.36567722602655, 389.39988618739756, 391.1502066401917, 392.63999669833089, 394.86617796067344, 394.97550576001896, 395.74058083700186, 396.28569916951403, 396.43936772968465, 399.47256808615606, 408.78760214013755, 408.82205228055625, 409.17814923035229, 409.72307459558738, 410.93048262743304, 412.33728828871426, 413.76944335443847, 414.33703966082112, 414.52580091898346, 416.12743479673014, 416.67284160559683, 417.26969500301402, 417.99818119695288, 419.18921932748736, 419.80403642532161, 420.53530967292869, 421.86073914073461, 423.51570683355578, 423.86561150872802, 424.70366522142848, 428.4239155203021, 428.81414634771579, 428.96718907866108, 429.05427497080848, 429.69354734330983, 429.95798821594275, 432.30570799901244, 432.34729621295742, 433.18063976390636, 434.72150456149649, 436.50135344354879, 436.80332731021991, 438.4649952247126, 439.76898729958026, 440.32606566662014, 441.934555112147, 443.36980879558121, 443.80656570981171, 446.05442353454623, 448.38398812644607, 449.11171967458921, 449.60939189920492, 450.49767548917112, 450.96287625442363, 451.27812568636756, 451.86250149499398, 452.25116616377221, 454.0826606403503, 454.91588819826188, 455.09728578376399, 456.1566240999806, 459.36503673252031, 459.8993091715023, 460.11092543085056, 460.24752641107398, 460.33154216149711, 463.32137331189784, 463.59613385909205, 465.18386814793723, 466.16010781238435, 466.35710149260223, 468.16219534413767, 468.57284127211159, 469.38547954013933, 471.6230904865069, 472.22464526200889, 472.2712264310552, 472.46008022642462, 473.75133335973663, 477.73181303177188, 478.15421796397163, 478.45074590941516, 478.71090212603019, 478.79901234175804, 479.84452478428074, 480.15875452402014, 480.3740738935075, 481.61189154925484, 482.21668771012588, 483.82275153577478, 484.86462141537851, 485.77412725727527, 486.81003842344461, 487.36701556814387, 489.03849736288237, 490.63878366895796, 490.77583702748586, 491.61350849459262, 491.78828540792648, 492.9783541887976, 494.76102152603124, 495.22065839731727, 497.56463759868529, 498.49501425368192, 499.03311693656025, 499.73712869856098, 500.09346974966468, 501.35427884518458, 502.87892415485345, 503.4473987470796, 503.91266751695429, 504.27923373488329, 505.68481910286607, 505.85389934408528, 506.3808757696541, 507.28788554549766, 507.36167426800603, 507.95102196632183, 508.04754959637484, 509.0628405897524, 509.99616618580427, 511.20049060009319, 512.29002970936392, 512.97316540431086, 513.26208877050283, 513.46078792547598, 516.24271438633707, 516.52251698798057, 516.8110251132955, 521.99622305300966, 525.11504588180503, 525.9411401736761, 526.24892691811976, 526.95952654103473, 530.44790484348141, 531.15493959306991, 533.38029985774324, 534.23889212960046, 535.32827561927786, 535.96291877946032, 537.68088361737205, 537.79585927734843, 538.84796931324684, 538.96468437395993, 541.29449550871198, 541.5608255326797, 542.09583424226071, 544.02948477782502, 544.83382081467357, 545.51534377609892, 545.73240880808441, 546.36386793263671, 547.28941570644702, 549.31106485746295, 550.2650638493061, 551.55913401167152, 551.95525504461364, 554.62080102759182, 554.78397012715925, 555.30559011774221, 558.61278518644747, 558.70535428826281, 558.76219476782251, 558.79521179985227, 559.31279902187191, 560.35675236325767, 561.85768254598474, 562.1993530394368, 566.15486632616, 567.79997547676078, 569.82240954417455, 570.3092003186116, 570.38411906682416, 570.47037843862347, 570.51117073073851, 572.18410454934735, 572.52235448071087, 573.04518738301704, 574.11457493010369, 574.28092483053626, 574.40262240718994, 574.96041803544165, 576.23228450957401, 576.84222709166272, 577.81091054039803, 577.83957891286616, 578.23270290902894, 578.32438406477524, 579.97083096651272, 580.90647875167838, 582.59115722861497, 583.57362678953928, 583.66659715146648, 586.43802457639401, 587.05532416580479, 587.4325107263553, 587.51038869799868, 589.1383861081174, 590.04460341140975, 592.12370256780423, 592.37518271995873, 592.48247492321025, 594.00453501916684, 594.98564973069313, 597.18397303388122, 598.55776999507634, 598.90475811571855, 599.00371657409789, 600.5619572340994, 601.9027808929809, 602.14844748780104, 602.24945695826329, 604.41713289606992, 604.57337529168205, 605.54841067348468, 605.65196589619393, 612.75789915028201, 613.18899975621605, 613.84892199634396, 614.07157484569643, 614.37369919598393, 614.78123828408593, 615.18302240000173, 616.21972802673304, 619.92228726647136, 620.18299765613563, 620.99863422998612, 621.81625327933136, 622.33998203669546, 624.72611790680617, 625.32419074301345, 626.20579718977945, 626.86434321108447, 628.41673395391979, 628.51783896789721, 629.96118211616511, 630.04291594213453, 632.40208781772844, 633.69385284121529, 635.22792553421743, 635.47022702849449, 638.29180694540582, 638.73155651643128, 640.00112468054965, 641.05423039077345, 643.00132217852934, 644.46207108729357, 645.42488211624641, 646.15423244427723, 647.28906269860704, 648.14809102660035, 648.2837345428934, 648.48711481867042, 648.63212396687163, 648.92597362773404, 648.95891885785704, 649.08418700645154, 650.09183437740273, 651.61078310769005, 652.92037996565921, 654.12813016330392, 654.36086042071236, 655.01012091984217, 657.03955409802506, 657.26505808183083, 658.01249862646262, 658.03840076462427, 660.02507365736267, 661.51307928315759, 661.96072340326384, 662.13738826603389, 662.82637154719339, 665.29081736423473, 666.11477898111252, 666.47398340889515, 666.93860834045938, 667.15917357474632, 668.68594356128494, 669.54711606519095, 671.72959297066939, 671.82701181470043, 673.18510013759339, 674.65362401208165, 676.18439958224781, 677.43208038727755, 678.95904735923011, 679.02959152995925, 679.22660210366428, 681.53398869310945, 682.06847165853719, 683.21497524545532, 687.42612923496222, 687.56906037170927, 687.81076450120645, 688.55700228074681, 690.29879425694639, 690.96999823036083, 692.4107058844005, 695.9555033788879, 696.20326633679304, 696.6008029842676, 697.50695746705776, 698.91799388836114, 700.69242634901116, 701.82882886057735, 702.85826872847599, 703.36296584672891, 703.92533907384495, 704.18877563879062, 705.32885650691208, 705.37461320547413, 705.97551967692732, 707.17070309398798, 708.03118375223198, 708.11734970261659, 708.89391622995515, 710.19643893422619, 710.35691593108322, 711.52566899107262, 711.67529352791814, 712.78918479886295, 713.52368781903533, 713.99202430326943, 715.62304709382408, 717.41740089445329, 717.85070595079333, 722.39477794889581, 722.84647889562495, 723.89654475285056, 726.9009313802394, 728.66912982969166, 729.41849394704684, 731.67258815081118, 731.96029378572473, 733.46434675263356, 735.94530927057747, 736.94250527742417, 737.30655386804403, 737.44178396843597, 737.77930095742761, 737.80056298711622, 739.10269471307015, 739.9580839388567, 741.34131937775896, 741.71917082452501, 743.20329549014502, 743.73000076898597, 743.82959542590061, 744.22590652047518, 745.15989075707182, 745.2912722173777, 746.50255806330961, 748.23437275467018, 749.9745067940969, 751.33532820840537, 754.16581105741682, 754.73147822514909, 755.66866387832738, 759.27292016999149, 760.09193368920489, 760.53023881937349, 761.73299914110873, 763.55914727760603, 765.07894695338848, 765.22391930912534, 765.60132726302254, 767.65574153501802, 768.63385529779225, 769.57326630258615, 770.24242231332448, 771.20154224321891, 772.26003053708575, 773.12973969175948, 773.55364838594539, 775.58107688325902, 775.77845218560128, 776.29224549538719, 777.44448923675657, 779.40401487208737, 782.25055560823739, 785.87572849497462, 786.64012880842893, 787.0223119081611, 787.16767408808562, 789.12643966148505, 789.7019662604597, 790.17747356193615, 791.73654601938244, 792.23996986111922, 793.07473022132137, 794.23078842940436, 794.7238886737241, 794.93796888062877, 796.26107020631923, 796.54301470115092, 797.04808147627693, 797.93624375177387, 798.14559979572743, 798.56655132412777, 802.00877822824737, 802.58259991261696, 803.22507363957811, 803.40204525303875, 804.9253112781812, 806.87520938957732, 807.3120336968758, 808.06489174555077, 808.40704442215952, 809.32788754685464, 810.5569534736959, 810.57747653223885, 810.61461363519288, 811.67627954666239, 812.78980154476619, 813.10017579833436, 813.84995591825998, 814.52684830464023, 816.46682644788825, 816.76677043705479, 817.39843144686836, 818.08066446362591, 820.24105724832339, 821.27626233278727, 822.29723406964786, 822.86394503921883, 823.77859083417889, 824.23104606928064, 825.56204339298893, 825.69808535948277, 825.82821175638333, 826.2432052350905, 827.10098797112414, 828.28178217259244, 828.8703305568464, 829.56971849943102, 830.05193308495632, 830.19908773174757, 830.47141072127522, 831.22614239377083, 832.48126171456363, 836.03252892463388, 837.71338912873159, 839.10003507616409, 840.25885799077844, 840.57330226778902, 841.22282885875734, 843.26726907599425, 844.30899451204891, 846.05788783356263, 848.06195997051839, 848.33265255312313, 849.0299736772389, 851.43598438719721, 852.77251918279239, 852.98502616649614, 853.56677031183676, 855.06485558933139, 855.41141913652359, 856.53114358240509, 856.75900545476975, 856.99469979417984, 857.09571107654244, 858.3062974682108, 860.11766902578302, 862.0891752442501, 862.71066747191969, 864.40700011374486, 864.72964175755692, 866.65712610974686, 866.93654843706622, 867.25301755304781, 871.21020726031679, 871.85651696987588, 872.49737160973859, 872.74335551665831, 875.45266493059455, 875.94174306328659, 876.24814175929475, 877.1336486831716, 878.26392999972109, 879.25531446041111, 879.4073904647762, 880.54053570159431, 881.85247679635677, 882.8256206937973, 883.07278658617088, 884.99808531944086, 887.27410762431475, 887.97150047153332, 890.07810102268388, 890.56717329776939, 890.71168416409466, 891.57190519869698, 892.24767780760646, 894.28697825637857, 894.9452726210244, 897.73708424492531, 898.48469987472834, 900.64694529547205, 901.91006613141519, 902.20969567823374, 902.25997091635338, 904.08905763304415, 905.44666242710889, 905.58379099650415, 906.22383181450823, 906.69244720190977, 908.13771372632266, 908.34999340327113, 911.6312392596169, 914.02111664295217, 914.06771359838376, 914.10923478745565, 914.4900459487136, 914.6021903179286, 916.14951992819817, 917.62456677330943, 918.52878046479657, 918.63015576569649, 918.9032812736001, 920.45877152237244, 920.52138462588175, 921.05979732786636, 922.46397617040338, 922.93995992496605, 923.12629099948947, 923.25322082728894, 923.31782582917685, 923.45958039949721, 924.38539542926208, 924.42950239695767, 927.5943981383183, 928.39453443251523, 931.54116274424382, 932.43814300690758, 933.38543375937923, 933.83263921103628, 934.45050369381295, 935.7449112524024, 935.85246442685116, 936.78199273291875, 936.80571128226256, 936.88912452247337, 937.9711144893256, 938.67058188141698, 938.76153927759344, 939.61098311254159, 940.90237408976623, 941.73787496195439, 942.63681993318426, 944.5896806853616, 945.00076126839429, 946.03263554509999, 946.0530950441489, 948.45551341076737, 950.58238025891444, 950.91432347966281, 951.03391474696309, 951.53036697742323, 952.61314174282052, 953.31601293007441, 954.12607556178125, 956.51057216001391, 956.60066426281264, 958.15703738117566, 958.23634359395021, 960.14043275818085, 960.16310224366464, 961.4929072489025, 961.52626524595826, 962.78232870941349, 963.34035664763189, 965.97139581357044, 966.94800210973335, 968.47441981387453, 969.80865135176145, 969.90658437809634, 970.22595637935854, 970.87519762641068, 971.58243933620975, 971.98368393602311, 973.09994236967077, 973.27883650331808, 973.89503988926538, 974.0412625959616, 975.15115829006936, 975.35890161267548, 976.03750664949678, 976.91006782117768, 977.48432525518285, 977.73484744092741, 980.25641516645749, 983.85326126515633, 987.4093313337072, 988.58527823526936, 988.71063238145996, 990.08043087100975, 991.01402905328928, 992.35731969133269, 993.46288774360028, 996.64120144409264, 996.70707250218891, 999.8635653179989, 1000.530632577032]),array([92.880847748584628, 94.055239716533222, 97.609691641003892, 99.171726964154388, 100.25539648101866, 100.42494866939609, 100.86495542079898, 101.37469144152978, 101.54244916110493, 102.0888480649121, 102.50083314624085, 102.82929492725783, 103.00979312963938, 106.29693834896092, 106.75272540273014, 107.53867233897441, 107.61902027335211, 110.73721804060392, 112.03688440203707, 114.70825882183543, 116.33399809682096, 118.36228254853873, 118.88050324733985, 119.69791176470241, 121.23676133328391, 121.60750748811526, 123.07845518963872, 125.70452537116189, 126.29260943275256, 127.17283528174703, 127.97882653650048, 128.16628079814575, 128.61148733498842, 131.70903739725674, 133.70972835739641, 134.157630052896, 138.78847915470186, 138.86494368450565, 141.15632202149234, 141.6477904275157, 141.90754555773094, 142.08957070169541, 142.167813119698, 142.64319719028788, 143.58952229948167, 143.886637060922, 144.16529418499638, 144.56585464177977, 148.39012311362967, 149.74731920007866, 151.3118623899062, 151.72756287661949, 152.03538789562128, 153.50151757637127, 155.65861309303878, 155.69327478213418, 156.30274549329042, 156.79985230070909, 158.85265465146989, 161.34246751555784, 162.12703777104275, 162.81327904025926, 163.37957223776587, 163.44253396486553, 165.52985013455208, 166.68110938846101, 167.00634299924113, 170.26390543792186, 170.58616502467092, 170.60934129171241, 170.99798391848188, 171.23783992572285, 172.58179885566548, 175.92926937686795, 177.94414089213194, 178.81539471701132, 179.79921978549706, 181.22304791628773, 182.11258146742321, 182.24592053861858, 184.45811746613924, 184.68722984836705, 185.30756436142249, 185.48664671328419, 186.98408022822184, 187.91471416388177, 187.95667342778682, 189.3416880919259, 189.43720218057763, 189.67793557002895, 190.46440000643184, 191.54966351979266, 193.67262937646339, 195.63078340983279, 196.00995014009169, 199.9464980333986, 200.06233416627151, 200.39450376742533, 201.89805151010106, 202.3196335481428, 202.99828420643388, 203.16195938235356, 204.28580523288053, 206.6926258886873, 206.87299230495506, 207.05113583134661, 207.67890761802624, 208.34901619731897, 210.37100211915933, 211.05211863500244, 211.67868526685646, 211.78305137299375, 213.8086044868588, 214.1724981277049, 215.33463553130429, 216.69033729256654, 216.95058629553355, 217.8980076307196, 218.57373103216167, 218.66676784064416, 218.94430041809213, 219.20313295964507, 219.77189262632376, 220.29393479852044, 220.36555651709196, 220.90539888334632, 222.81114653649348, 223.31927893916887, 226.71314370611955, 227.5501766506105, 230.83076874712759, 233.63603504433078, 235.8613219557898, 237.1970901692446, 238.51562677789838, 239.15251010375317, 239.56082796873926, 239.90546302514517, 240.07986167296127, 240.86699462527551, 241.70879116002524, 242.14434794626709, 243.01799617492432, 244.81611579894638, 246.17346874816701, 246.89523293195242, 248.40914343764098, 248.71867120468019, 250.60132582021194, 251.45598412397814, 253.7355131315305, 254.67041673687058, 255.30601140247833, 257.10840376247489, 257.13626922690571, 258.59969099955288, 259.30469591904011, 261.91489493231342, 262.0195530798178, 264.40189536881121, 264.96296190225206, 265.50658108554416, 266.75359307415215, 269.17617422248446, 269.53839856207617, 269.92876089129993, 272.63329648341835, 273.7538238666861, 277.00564607274293, 278.79129883964703, 278.87564566715361, 279.56502922041551, 279.99063692491137, 280.08534512454128, 281.44322460020675, 282.82200827223568, 282.9098100812144, 283.94924956459329, 286.12496118000831, 286.63148323086943, 287.38346109155606, 288.18783469864036, 288.54646779119872, 289.14172139665862, 290.36191358590531, 291.31622486165412, 291.70697673586102, 292.12374172375513, 292.93800881870277, 295.78706852073964, 295.86466652762891, 299.25956930806359, 299.65019568566845, 299.67460850006177, 301.04101456324315, 302.70374120436031, 303.72214082563488, 303.86550168151064, 304.19162538924752, 304.632188078838, 304.6921397515361, 305.97471618920628, 306.63618021829922, 307.00476910816849, 307.16053994009576, 307.35876191013216, 307.56002600585759, 307.6351100234578, 309.46312195779393, 309.73057476461446, 310.0429975106012, 310.67921675630078, 311.17887587240335, 311.59270756649136, 312.45923534545312, 314.04321822672574, 314.48721189738711, 314.53982890028271, 315.79098651292145, 316.19096436790909, 317.63013871097689, 319.10508323663777, 319.37106127200872, 320.94238966434528, 321.04184460105523, 321.95611895527361, 322.07966444598077, 322.66957279195054, 323.40477753154806, 325.8740842765373, 327.97275173133073, 328.54506350915864, 332.41460038034353, 332.47546984174505, 333.43145886411583, 334.31133841550377, 335.76129520219735, 338.06683175999854, 339.20273304157564, 339.71480961064248, 346.96759106696931, 347.81779448522968, 348.27041534460614, 348.44277240619346, 349.34359670697359, 351.60331218519275, 352.29588476864723, 352.82565915405445, 355.56944901102923, 355.76374608003511, 356.48180181877632, 357.66866058197661, 358.707871298366, 361.01095238883386, 361.12646989800487, 361.44965975270333, 362.18127073437068, 362.31354910651135, 364.03957996936526, 364.74732684425265, 364.85692986649178, 365.1097572918215, 367.60860488074479, 368.96248716372162, 375.1709017304936, 375.32466386329605, 375.40365641512176, 375.43058897011343, 376.090842595921, 377.2609700671112, 380.02633083523085, 380.56069285719701, 382.67158218441273, 382.88715670282136, 383.15782651133912, 386.00457817966054, 386.12270967238754, 386.30954150512531, 386.72516482986958, 386.77393551925519, 388.19945671268891, 388.7942395391587, 389.75423866406385, 389.78531071526788, 390.27543558011843, 391.97699240295452, 392.00593101072513, 392.15663038510638, 392.96528597113297, 395.6113574957451, 396.10634207793885, 396.81359684626443, 397.11369542615893, 398.33097659500436, 401.67327737730483, 403.81388505246463, 404.91648341699442, 407.27503082973431, 409.33570366598127, 410.89211192145171, 412.24391642635402, 413.19461771611191, 413.2418125610223, 414.6343445373501, 415.09641033669163, 416.16833981987838, 417.44018194069406, 419.23444210496291, 419.68698727030124, 421.57908113221583, 423.96826112656521, 425.47023333622479, 426.32068856158719, 426.66546722517569, 427.02325121831831, 428.5924016368462, 429.0292866670589, 432.58394012057562, 433.79208195600063, 434.94792263601715, 436.44132107638791, 437.00821345385816, 437.22747301806555, 439.32122179451204, 440.20834125934749, 440.68831197179691, 441.41307386489564, 441.47877278434186, 441.80944869075256, 442.06969135898407, 443.21399166231424, 443.98363578603499, 445.6721865386005, 446.26514112837071, 447.26088070611348, 449.00919725267482, 449.4980399989808, 449.91212146009605, 453.49374992498997, 453.70101046524672, 455.22389780112934, 456.49225042001297, 457.0915704262024, 457.94221012039884, 458.63095798703353, 459.14261763735203, 459.64210156497614, 461.0595972038181, 462.42728181330813, 463.24086391468319, 463.84494281211323, 464.36097421335722, 464.76327695860476, 466.82351683008966, 466.87261352053861, 469.46452014097565, 469.48606670148706, 469.51118857072942, 471.24853752148516, 472.19008396498538, 476.55685711940515, 479.23680116387777, 479.52222839139131, 481.07261004909259, 481.16912262946175, 482.71648701596422, 483.42796566342338, 483.62291286975807, 485.596867686927, 486.16593352172845, 488.21815718545719, 488.93767655418293, 489.78572349640064, 491.87851304107738, 492.28001703171765, 494.17695051284704, 494.79423005169929, 495.17661036438432, 495.20888938736215, 495.5893408439216, 495.83940821052482, 498.44864806241532, 499.36480095191615, 501.44407615890032, 504.3874296279688, 504.53827579538711, 504.91247016535908, 505.5489866399958, 506.95903853253253, 507.3944791208902, 508.16136992820248, 508.18837761381752, 508.5488512422445, 508.86264536677839, 511.70219884988683, 512.91040275209366, 513.10413830452853, 514.99259868337845, 515.60214370193705, 515.802851457781, 516.42483859070217, 517.04056942113652, 518.98431736981081, 519.20617750664951, 520.56088105636081, 524.24902389405588, 524.2865424633419, 525.48621824548252, 526.13053557709065, 528.79941081721302, 529.18314351978438, 530.11682192796889, 532.81877619068018, 533.087339426776, 533.34349165159404, 533.83654624004703, 536.76297232556362, 536.86255384324693, 539.6091608640894, 541.33401041757008, 541.86668939645347, 542.29221472258905, 542.56823713724282, 544.2677161795832, 544.53704580364104, 545.0870835404894, 545.14340585180344, 545.93297987771132, 547.94712764308565, 550.07122973591368, 550.37025225604577, 551.43647769048107, 552.03631913488721, 552.37291314879292, 552.6262412974429, 552.80973171614437, 552.9587184012928, 553.31716649176894, 555.10029237221977, 557.14583920780103, 557.50057506574728, 560.39920268116418, 563.61978488024522, 563.68878213998119, 564.03039750587482, 564.24487833103956, 565.42927426412666, 565.49765107852897, 568.0271228651568, 571.48663557479176, 571.60018059375, 573.45643874142536, 574.69910009715022, 575.46912273575617, 576.77298533632825, 578.22352130329477, 578.84333365933048, 578.92642053129555, 579.36013668348437, 579.82655373301316, 579.88530924634222, 580.04465453172259, 580.24914548226366, 580.50150789271754, 581.15465992177758, 581.65918661113005, 584.25545171511033, 584.91117402463226, 586.25971837901818, 587.6398186976603, 589.4755615648636, 589.81375466299482, 590.07156280455695, 591.04183854149187, 592.39827320495885, 593.79529750717666, 595.54939122382495, 596.31042476021184, 597.21491761859829, 597.27682599253342, 599.1692395455176, 599.30023832636766, 599.95068865803376, 604.81817095658175, 605.04785924279588, 605.47633765286685, 605.63034312627599, 606.54207202605619, 607.14112857182795, 609.03587118521136, 609.16341624968754, 609.24900755638407, 610.67687572566706, 611.37643143502692, 611.66315484823383, 612.73441089284006, 614.4321702935996, 614.59294140763643, 614.68572080825652, 615.79661459156785, 616.75185695683763, 619.80835924536018, 620.13308559055565, 620.59560659337387, 620.81248826653666, 621.47490722059592, 622.14947769226046, 623.18978031596646, 624.22373035425244, 624.26458648383755, 624.58195960770513, 624.6043472005573, 627.05922038643007, 627.19372036643119, 627.82162170066727, 629.37744411029223, 629.63956128567554, 629.66102211955308, 630.08768939417575, 631.81709778743448, 633.93574867023995, 634.14715085066621, 635.49923925338999, 635.71069936312097, 641.53795944888736, 641.78364504903607, 642.29562367052222, 643.99595322117796, 644.20534449059573, 644.88393130441989, 645.54745197037619, 646.72978217235391, 647.67750989994147, 649.07495352789908, 650.17977250041281, 651.04738138081495, 652.22640588519539, 652.7176829355667, 654.5804351108419, 657.20137158601312, 658.31438561516063, 658.58426278527315, 659.26537516432779, 660.39490588652495, 662.90837194106712, 663.04470356773447, 664.09772492130753, 666.40575883270742, 666.50785742154278, 669.83912843631072, 671.85349634086776, 672.12024827899381, 672.85116562885332, 673.41157666188587, 675.71047830904058, 677.6172438073595, 682.12789512139625, 683.76737749540666, 683.78754970439388, 684.15750845997093, 685.13970578845249, 685.40174381025463, 685.93712067320928, 688.92239948960992, 689.53276786947674, 690.46242996656031, 690.53885112590581, 691.36816265415166, 691.65015150638897, 691.7639180591907, 693.03690878152224, 693.08389537951211, 693.63828113115244, 694.09078592861567, 694.36840975100029, 694.5006081356853, 695.31353169238059, 696.6192825281164, 697.41381226031615, 697.9835809941444, 698.90585552259847, 698.9563417806894, 700.34665148127033, 700.58311291407551, 701.58898292140032, 701.74850680045517, 706.0566283500923, 706.42536146165821, 709.23839099078668, 710.48800106811495, 711.42424138863964, 711.89367698824844, 712.71981693098166, 713.78421894566077, 714.09610008649042, 715.79980463063816, 716.14845888018192, 716.86895189489212, 718.70476788872156, 720.05901604310407, 720.27836347121308, 720.31302669596209, 721.08072812201283, 723.10020338501852, 723.37849203437781, 725.1372339013551, 725.50336394762837, 725.7446507587216, 726.11701519950418, 726.98066279344164, 728.79404325540668, 730.22902413689053, 731.28232888796208, 731.40436431573971, 732.25691983381648, 732.62936393861924, 732.99602992936946, 734.12958913421005, 734.26700687354639, 734.56169304741911, 734.95750512323809, 735.66585797836751, 736.19649225759383, 736.40034026842534, 737.07504348384418, 737.43125760877206, 738.52431877348556, 738.64453309207931, 739.10079515165171, 739.33022428388563, 739.56027593404087, 741.03194367796118, 741.8747186404554, 742.63476303426967, 743.34890537559477, 743.37989416323455, 745.096728932362, 745.86051581185677, 746.83280030031324, 748.13248653598487, 748.93677985161105, 749.02797383229199, 750.36457923633327, 751.59746178601119, 751.6311453582573, 752.87992469861695, 754.92051554154204, 758.86742157897118, 760.73402414998748, 760.97953781783121, 761.06959898532307, 762.22390168891229, 762.41791410152769, 763.31194869665114, 763.35200218532975, 764.26993683009891, 765.4699205178282, 765.8491754614231, 766.03145019415206, 766.93895604307704, 767.09081784552563, 769.08774713241246, 769.46153048261283, 769.5340372494702, 770.37900645935656, 771.47748148693552, 771.60018965216489, 773.10307500070894, 775.9897549138293, 778.73960702192073, 779.06826695965174, 779.21889310085339, 779.67038024726241, 780.00484530840038, 780.78855819745661, 784.25882809265147, 784.33169288189083, 784.44419259954429, 784.63617085887586, 785.45994584803748, 787.26683381464102, 788.33294428101772, 789.03020833073026, 789.27473682482707, 792.26496827611004, 794.86558020253995, 794.98796219396547, 796.22704891322962, 797.79871497661918, 797.96289073840319, 798.67955664017882, 802.9038971662643, 803.94746590749753, 804.09118685812791, 804.34900749092242, 804.63010443329097, 805.28845069720455, 808.25256357497824, 808.70237901587825, 810.52346017065588, 810.55204113686898, 810.82836707690842, 810.98942770251904, 816.53067094029768, 816.63959910326173, 817.96107900207994, 818.84453873489315, 819.08855669757043, 821.59739679604161, 821.63064447579734, 822.72511816147039, 822.82252679965188, 823.08876651875312, 823.80771204973234, 825.32178950865307, 825.3884030133562, 828.51408385311879, 829.39708169759888, 831.99239458402678, 832.98183248960493, 833.90058083674251, 834.94289776663084, 835.02884341727133, 835.29473782657897, 835.86749035973196, 838.18689774644452, 838.83412683881841, 840.66653216289762, 842.35520764048999, 842.50260432412983, 845.32033766177904, 845.5599175591052, 848.1563759662946, 849.05122739231786, 849.91299087635514, 854.23071758914625, 854.97320682312773, 857.16890221369852, 857.25448915691607, 858.48062594644512, 858.67662693043189, 859.38163571233019, 859.91768045475931, 860.036911441401, 860.11623974515408, 860.38409107258792, 861.00505154061568, 861.33792870269485, 861.74502211888637, 862.4645156751576, 862.74102404405357, 862.93751973311305, 863.95960972740443, 864.29568846515224, 864.62760889930087, 865.84260224862783, 866.36661755300713, 868.4597780079896, 868.83408042733095, 869.642622880413, 871.12853997845912, 873.10701501849417, 873.19824086371602, 873.91715695764913, 876.17453483325721, 878.75169918259928, 879.82007459880583, 880.39343522925162, 887.38339606541047, 888.23709425294351, 888.64241736329939, 889.24769889696097, 889.68940508578839, 889.94079235397953, 890.22703535792243, 890.34415153300802, 890.40577721141744, 890.90449583112991, 892.08535271790333, 892.9580615100283, 896.58732803088742, 898.02565757340938, 898.60213929248664, 900.5283871968619, 901.28840373551157, 901.33561181478115, 903.58972791046267, 904.60573318217314, 905.20171669794445, 905.51003611259443, 906.34907889948454, 906.69669493399806, 908.27500539392793, 908.86836628391347, 910.12550327565361, 911.92519029891571, 912.28012957367116, 912.89387656268173, 913.30738981614354, 915.10307933967476, 915.44545284846436, 917.18115159971069, 917.64404291598896, 917.87899314567653, 917.919631309088, 919.98094289050562, 921.36897615976477, 921.92624424129747, 924.2945207090861, 924.76928242712631, 925.84241013418421, 928.25786715396919, 928.91511187941296, 929.52919155079974, 929.98376128325549, 931.41308496585623, 932.27802656588653, 932.94663683601607, 933.45659453526707, 934.65281394281851, 936.36094704187997, 937.74092818246891, 938.10847584958253, 939.53670469161329, 939.98295992392673, 940.69979671215003, 941.4180163743996, 941.82169938115965, 942.73077540377972, 942.82632904989509, 944.41411896829766, 945.09950040371677, 945.81846632656243, 947.59267073998922, 949.02150512702906, 949.28808370837464, 949.80634102650299, 949.91131726349727, 950.54507576933622, 951.25958947148649, 951.65938401725111, 951.88433576490991, 952.32961427561634, 952.86896391522976, 958.66793437086767, 959.2391357159205, 959.48094411732427, 963.52897662352893, 964.20630493361227, 964.63925345830353, 964.92498244942078, 966.21514698984538, 970.09200059956675, 970.65355455836448, 972.17631741869434, 972.55134358858629, 973.17635520815054, 973.31060925528482, 976.3909913464812, 978.89881398424211, 982.51024517313897, 983.33016983203527, 983.63719142376442, 983.87903666057798, 984.4471487296413, 986.38119422712782, 987.97958374078576, 988.17482696456943, 989.23550649288529, 990.77941759882901, 993.68628811734595, 994.86362508096192, 995.1027083172728, 995.29845519834828, 995.75605388788154, 996.02021138541932, 996.40649755856361, 997.16824885075198, 997.44253134020801, 998.58867716659381, 998.84874821380129, 999.37867932490303, 999.74316837070921, 1001.5602918493981]),array([92.734954313791917, 96.900562254877585, 97.267927696652805, 97.804039648144737, 98.512142357177865, 101.23145313490706, 101.71544164381669, 104.08541777714341, 104.67528118914045, 104.90071284449853, 107.81517305355192, 108.04369993387628, 108.36796184557049, 109.39667617646543, 110.25150343370915, 111.65055824736736, 111.68340861899104, 112.36278871654078, 112.38531951943961, 113.18119513744732, 114.04918307053119, 114.5860178835092, 116.29940366865031, 116.83694164837641, 117.29061529532927, 117.56835411538631, 117.83615925752669, 120.81132585570204, 121.13491811261486, 121.41850773037329, 122.43441482509486, 123.30743707523973, 125.35471903547483, 125.58534076308428, 126.1876856282217, 126.96942199869716, 127.49544983926749, 128.48172283847379, 128.50383715754103, 128.64310725929414, 129.55749011902225, 131.25339654987991, 131.66210124392904, 132.70125316661702, 134.03843676663368, 134.25693919585277, 134.77785355224034, 135.00477301369659, 135.41693321165363, 138.94649935026237, 138.99735752735631, 140.01161858902702, 144.21358338148829, 144.8856045358483, 145.07543575379904, 146.12826140149167, 146.73680070963695, 147.17300317136574, 149.29479686058227, 149.74353855008326, 150.54102000370182, 150.73298582759699, 150.81971969485681, 151.79628813085108, 152.04858295223548, 154.31975344603626, 155.41346605191731, 155.93348189109372, 157.14527786706319, 157.36283134841915, 158.97599298342899, 159.07745235413165, 161.67017009656666, 161.72741011910676, 162.40822779736334, 163.08457427324171, 163.73738456924261, 164.39251511223844, 164.46056535177988, 164.86875085581156, 165.97107187680436, 166.85292923944453, 168.90345360714076, 169.10180708941502, 170.59124675381406, 171.41968850008286, 175.63421052466836, 176.74670481721034, 180.21051464285588, 180.26486687131475, 181.2162549956378, 183.33789622274685, 184.82650905909406, 185.69553088346109, 185.71907756800854, 190.67744788002756, 191.17524596436644, 191.21803526263128, 195.00299870850276, 195.45116702615454, 195.99368933763782, 197.22693606843305, 198.14976104948946, 198.88519263393624, 199.05388116986927, 200.31391491051855, 201.52846823854503, 202.40343352923236, 203.18157786683989, 210.08212980198084, 211.72875882505258, 212.14299549285971, 214.37134682347923, 216.0868515219309, 218.30568829424018, 219.33170436974945, 219.70828294828286, 219.95887176358647, 221.22250481459253, 223.46768157027276, 223.76438005229383, 224.39667338105991, 224.88850249196082, 225.81370712122569, 227.20037414043583, 229.34529540878407, 230.04268705735558, 231.15419881766263, 231.90204111907963, 232.71525442969246, 232.98972432053543, 235.30090961809788, 236.17724884281378, 237.7631447941263, 238.47342509484122, 239.29199650855094, 240.81777942283438, 241.06431096036096, 241.91231501884553, 242.2597917827446, 243.49780839454655, 243.58221408317399, 247.42993052636086, 247.85711588980746, 248.29500478605965, 249.60670867332857, 251.45361950433255, 253.35903742287454, 253.93564952808944, 255.79764005435533, 262.56685346213715, 263.97194381914346, 264.05542616826347, 264.54402862423501, 268.62795535368883, 269.30826490339939, 269.5697062932777, 269.59579173622797, 269.85428205313633, 269.92351172014605, 270.51501317628373, 271.23317218195024, 272.67449511313254, 274.27375327274115, 275.38773073235018, 277.08673169025428, 277.87511700587532, 280.05604167186186, 280.32004293221399, 280.34870051569578, 281.06057708766502, 281.1667536004199, 282.13818718303105, 282.50575025934307, 285.6894948913876, 287.30816587779827, 288.09783678212403, 288.92944612741496, 290.21407968017718, 291.36154447957239, 291.69593205755655, 294.90260767684765, 295.67575344053807, 296.48319374574464, 298.30629296880142, 299.52664927062028, 299.64805154434856, 299.83286348857342, 302.83887298720185, 303.1295428362244, 304.37852408616351, 306.66781681836028, 308.81896309682304, 308.90874620804277, 310.52845572215256, 312.28076688790532, 313.05743441016017, 313.58331344446555, 315.68558950525369, 317.452693071971, 317.54321762753386, 318.77677981058662, 320.51388173842867, 321.51039577483539, 322.6186580465087, 322.78701261613548, 325.30341489495476, 325.48983023159946, 329.12714918146912, 330.91849887278005, 331.59176951317846, 333.45509267545617, 333.95520409323444, 335.0297974262719, 336.80690785234663, 337.05678695607992, 337.4108111122726, 338.13980628952964, 341.8551624735988, 343.88641299337644, 344.65211797303601, 344.78538292822691, 348.5454154560864, 349.17105869318289, 354.68141098707594, 355.69846307973052, 356.44025596869182, 356.93488943943521, 359.99365445030787, 361.2837718598384, 362.04217773421715, 363.29915809550261, 365.42609009585357, 368.86580039638091, 369.65308760959215, 369.75269225734388, 370.5103359854607, 372.22304953529243, 372.43328350042106, 372.9507578026882, 376.77118348093751, 378.24789320002259, 379.26092106634223, 380.98489863753508, 381.23727014604333, 381.78817622533745, 382.28751782039643, 385.56060327002473, 386.58143806277121, 386.84054940999323, 388.03785236806721, 388.45591292105075, 388.87388347486467, 389.48057018825261, 393.47737627556961, 394.18408196198294, 394.43312055402333, 394.75217510165993, 396.0499190017955, 396.37512374653681, 396.46610043448516, 396.50688975937902, 397.8323289785954, 398.04436945937124, 399.42195819636112, 399.78979239776618, 399.97988353054603, 400.97781678445546, 401.11639973932773, 401.42010960697661, 402.13346902784133, 408.09147717920615, 409.2142264208635, 410.44911069764532, 410.78081667893468, 411.5836589466677, 411.97732072238546, 412.919624885573, 415.49049350074517, 416.78643646583436, 418.47920534392597, 420.27563461894641, 421.62244927846109, 421.69153458944032, 422.51861569237565, 423.01951858650506, 423.29422739344113, 424.05360985282965, 424.84777442168229, 425.13859175941479, 425.55198152135063, 427.3064571849585, 428.3625979021628, 428.40183911032608, 428.9966302806439, 430.52534046414911, 431.37425900444958, 431.87878557524226, 432.01485297844152, 433.9067961191426, 436.62241551357494, 438.0286480753586, 438.67475741319271, 438.86884180360056, 441.7424385816966, 442.93694137454571, 443.31686676686996, 443.5214975658605, 444.71259537040743, 445.13525488883113, 446.68960307431553, 447.49825895708528, 448.16744979692379, 450.3989653777943, 450.57685140216944, 451.60846256123421, 451.90175584942017, 452.87044908344973, 453.60754526656501, 453.64412495814491, 453.91792753497771, 454.87757114173388, 456.04008990128318, 456.43811502504673, 458.01217034279199, 459.01684921830099, 459.05646900408738, 459.22169542526757, 459.98340037794901, 460.49662405210717, 463.08672463560703, 463.59672894564955, 464.81027562247101, 467.61144075274649, 468.93718174892007, 469.067527037383, 469.63464023017002, 469.75225882793035, 473.16904082882684, 474.06912746745138, 476.8215742696006, 477.05332351822778, 478.81071644717724, 479.63705113087485, 481.5027406659583, 483.20554509108132, 483.66963849020976, 485.28583735292409, 485.92115349413336, 485.94644676312078, 486.16437092795729, 486.9436082327785, 487.4954693827824, 487.67763848106102, 490.58094455001878, 491.28584846610357, 491.3677235325294, 491.57731709549387, 493.37383071026443, 494.22626020474792, 494.7659790730898, 494.90757414731104, 496.82594583167986, 496.99578457588126, 498.42212610939066, 499.2697504006623, 501.8334299614566, 502.09307923821916, 502.17000142001478, 503.34147578452308, 506.63047519054982, 506.67900791857704, 507.04962557617165, 507.85906571870521, 508.04764552622646, 508.12125838835749, 509.41911400235898, 510.36375998644576, 510.57204347892974, 511.8460185938315, 513.56183427229928, 513.80660266428049, 514.44931385283144, 514.75158441532926, 516.71265523356078, 517.20925845387853, 520.94331584447423, 521.66789689604002, 522.11536101125989, 523.48338447097206, 523.61538948479028, 524.96358620736919, 525.10356988823241, 525.18388176134306, 525.67192735180663, 526.80645564311521, 531.28866908639657, 533.00016203100085, 533.69976064926664, 533.77657829015504, 534.04008342091674, 534.19443970779128, 537.42800312562235, 537.82905310433205, 539.56215454118978, 540.44173426818588, 541.093450212368, 541.53458268326006, 541.99542561504063, 543.46188747481165, 544.43799674215734, 545.05880719275399, 546.87266319521154, 548.10883531811544, 548.64751727974669, 549.13647381701026, 550.10560923645346, 550.31881040487281, 551.30050100955918, 552.11980494047089, 552.80810526805772, 554.91723860516788, 554.99909378350264, 556.15262962416546, 557.26297371212786, 558.46710940429591, 562.50045664022014, 562.81893129471757, 564.949278653031, 566.90734520599233, 567.14860980415301, 567.35826452228912, 568.41519357052573, 569.08573607012124, 571.13804135717237, 572.07712050828468, 572.60061584331936, 574.23882801104548, 574.35650551473191, 574.83523228717297, 576.1749560116175, 576.45122895737359, 576.68963030559553, 577.65205852447843, 578.59865523250971, 578.84718977632463, 579.14603648087484, 579.45709004928176, 580.57230172769005, 584.67175658473445, 585.36858736672502, 587.86951214749945, 587.97680527576154, 589.57142267624181, 589.78939367093085, 590.35361112105534, 593.75464552338155, 594.95128520218464, 596.70509727070908, 596.867934836475, 596.96955911129498, 598.15229834470085, 598.53415839533557, 600.36841283729382, 601.62673054895663, 602.22473042366812, 602.99334008115, 608.38436301147385, 608.48231386131283, 609.57013646110374, 611.92210472251361, 612.46945038274475, 613.05481364244793, 615.12371263385739, 616.13874151607843, 616.20149852061422, 617.98926926504362, 618.18580686749237, 618.93456210180341, 618.97140100953391, 619.23808971844744, 622.4260903724803, 622.81780495241492, 624.64585503916214, 624.74640136405503, 626.19747213631479, 626.9779345590299, 630.77854331218191, 630.8762207494234, 631.53226867341323, 634.63384028844553, 635.58220018523832, 636.774643243333, 636.96236592177945, 637.90804676195864, 638.13942468532355, 638.3908882136551, 640.21862740426798, 640.75854877930919, 641.05177402353388, 641.262489129816, 641.63933390220132, 643.85362134649222, 644.38728706690733, 645.15076345996715, 645.35626809986297, 645.64775774198699, 645.94051743343005, 647.13474317677208, 647.29131101657504, 649.30619870558724, 649.53943724311705, 651.89726839056505, 653.2357460596736, 654.94124699855411, 656.27319991727461, 656.70960601376737, 657.1298719294175, 657.99781811106629, 660.39160208239787, 662.73522007549479, 663.29061810681617, 663.50364301605282, 665.65979162072631, 667.0004255528255, 667.26367542651201, 667.68914813649621, 667.8979486084794, 670.60662390068512, 671.03059702000985, 671.43595286152561, 674.24520950491694, 677.00670518110098, 677.78257745419262, 678.87910456370128, 678.91510569668344, 680.53963968938479, 683.91610834547214, 686.07013380388707, 686.24265735643587, 686.39470567018907, 690.59951563089089, 691.42191965107838, 692.65921567088662, 693.18408175713557, 693.73735302773628, 694.77306149018864, 695.21380665015613, 695.3348863511975, 697.05835920920401, 697.11435362769748, 697.19980918669739, 698.13462512661806, 700.05737963332865, 700.70349282814266, 701.20960374651509, 703.26722732793678, 705.30964130344421, 705.92828343405859, 706.0864390694735, 707.5390800810344, 708.34116721378632, 709.55904042123404, 709.69117621681073, 712.39213724967385, 712.68049317607324, 712.96577081832629, 713.71543437940431, 713.81719705303294, 715.32377125674611, 716.52213768825789, 717.05280197780121, 718.35348538155131, 720.01588098091167, 721.81834948184792, 722.69970012398335, 724.41372413956083, 726.50581868798486, 727.55177342632612, 728.29713184517084, 731.33079066800713, 732.40291395320799, 732.65601795941143, 733.33057339942616, 735.20972750903593, 735.87421109262368, 737.68707773184894, 739.46501659903333, 739.63539423739337, 743.23400638505007, 744.57589485816095, 745.51464014496389, 746.65956661421717, 746.90590152457492, 747.16124703442188, 747.96828567696923, 748.88214478860482, 748.96398176774926, 749.64590652285301, 751.09101029060139, 754.31790630823014, 756.54110555996431, 757.33346070452023, 757.78191463372491, 759.24653131893706, 759.54607112735539, 760.2272510997725, 761.13040482725114, 762.4479577807374, 763.12533657687788, 765.09974339595817, 768.51734494185689, 770.41700603945787, 770.4634843077497, 770.54718898399528, 771.72106775732436, 772.7603106829705, 774.00306742716441, 775.63290348829094, 775.81757555839852, 776.13962790872893, 776.55153513879156, 777.39572268120753, 778.34652580086845, 778.70419515658227, 780.16440568996245, 786.11741007787498, 788.4343913096335, 789.15643818197032, 790.06312444885396, 790.69971508307458, 791.39203359994553, 791.91622063082286, 791.99098958119293, 792.24376406973556, 792.58422246186967, 793.09540651988164, 794.80952161551647, 794.89463885585553, 796.02776889771712, 796.86415522715799, 798.25497497513356, 798.4758762170427, 799.1732169683313, 800.16314032934883, 800.58741738376705, 801.05402116115033, 802.08453784374137, 802.52049643035855, 803.40836512993826, 805.51304694667363, 807.53109706443433, 807.62983855984123, 809.80168259982202, 810.32854656815721, 813.16109719278211, 815.13660747344056, 815.58218282418238, 818.11025845019162, 819.68763688336867, 819.86792016547224, 821.86025602096936, 822.70210343387203, 827.28112053629832, 828.30206103884927, 829.04909412648942, 829.66449672850933, 830.85566517907182, 831.40140208615446, 831.95109432695961, 832.05937791458894, 832.86408878145119, 833.11389532822773, 834.16868278559468, 835.55683464847675, 836.94290957031239, 837.3628331681399, 838.03786708829966, 838.71832425733191, 838.8297988812551, 839.96140569188003, 840.11533180674655, 842.74448183119921, 842.82685829711477, 843.07856476422262, 843.17099392992975, 845.1194501990359, 845.74974007450896, 846.07350477203954, 846.97044821558256, 847.40591633689371, 847.56878284722575, 848.56199678888015, 852.28208947218218, 853.99255300224706, 854.55670967897936, 856.23755817927827, 856.26709156955178, 857.4692300247973, 862.46835352531843, 863.85820361871151, 864.59636651798053, 864.67944566872438, 865.46143961153837, 865.73825222318249, 866.94455694106659, 867.13233143262914, 867.43842030936196, 867.50560555733023, 868.4194027449571, 870.06721053845149, 870.8367596855793, 871.54299977782682, 872.0465153987318, 872.36046012812301, 874.23083466008541, 875.00941746259855, 875.59635790451875, 876.09906191950927, 876.71733735099144, 876.77906540840445, 878.10939879072134, 878.24168847646035, 878.55707219552221, 878.79158346622296, 879.53589199436999, 880.12153047887841, 882.03642026500313, 882.41402271708262, 884.32764154377196, 884.37882548141874, 884.47192175296902, 886.01689119364869, 886.57816952206849, 887.12119751572675, 887.14295707832264, 887.29728322658161, 888.0455261108799, 889.40392982594562, 889.79460797967999, 892.08349553180165, 893.45989260692386, 894.75402368068751, 894.81170441399388, 895.95262045876711, 896.22381684131165, 896.27262280009984, 896.89108400237012, 896.93849797235475, 897.66505624122817, 900.57064957544742, 900.66314250881851, 901.39588201428637, 905.73603661957179, 906.5035702612314, 907.52205649422342, 909.07212653148747, 909.77720131664773, 909.98545292077051, 912.43047416909087, 912.85596750406614, 913.74220803069079, 914.18239915368986, 914.25233723416068, 914.74708797068899, 915.34265144489564, 917.21297436696034, 917.99685972419627, 919.99183016190511, 921.58629801551228, 922.60799690998851, 923.05583769286125, 923.08731065340066, 923.44708952707151, 923.48967539467321, 924.55618812259308, 924.57879751715643, 924.76487928026631, 924.91367303730124, 925.77428934283057, 925.97303088776891, 927.10595612553402, 927.17270605183285, 927.67295961818013, 927.75740709007312, 931.59652160793564, 932.10336778327087, 933.77539785800025, 934.1273830563581, 936.38971476647646, 940.1049456102229, 940.17711467705192, 940.94248052760713, 941.07258135316533, 941.48124088426027, 942.07418339455933, 942.21088592007868, 943.282141672732, 943.60316433999424, 945.10868767124248, 948.50842737313496, 949.03277973636852, 950.23007883538924, 950.39048008153952, 951.1961959899163, 952.74154885098244, 954.22127129803766, 954.89054313747909, 955.65143220542188, 956.46205499676569, 957.00582244233965, 957.54672117707116, 958.66127884472587, 960.56304509840857, 960.93885095771907, 960.97231194190954, 961.96768053815345, 963.4177296033879, 964.81076921607814, 965.81807528055776, 969.06126288782059, 969.16659842330239, 970.29718282595013, 974.05385650089113, 975.39030907535323, 976.28450992936951, 976.68729070004758, 977.67756999967264, 981.74350472970502, 982.15572196128971, 982.32066148192314, 983.04035565380445, 984.69401915801438, 985.7095115236009, 987.45596390290007, 987.59964137647717, 988.90897714436824, 989.31050951548571, 989.53985518450577, 989.63347557693157, 989.92001333362816, 990.31533137841893, 990.45120537052946, 990.54192581307734, 991.08379270461921, 992.24917375740415, 993.08147499517338, 994.08658262924428, 994.2658961248826, 996.37657945085596, 1000.9858997245716]),array([20.959965907036938, 21.977279386478404, 23.453069868266386, 27.214442956230346, 27.63703997949818, 27.889105308162289, 30.029674094559585, 30.82152505306728, 31.890793074366727, 32.80578811696239, 33.231165435941406, 37.018948110311548, 37.130536848951131, 37.807643439843162, 39.566748743391514, 40.889133321869032, 43.460639273162855, 44.319503123475364, 44.620034958320993, 45.366355635186636, 47.992582369757677, 50.652023973306093, 51.143206243882368, 51.603081733478568, 51.652644719796712, 53.081189845802022, 53.634650586799737, 54.249407713443198, 54.330595112638278, 55.201281286017966, 56.775846402322237, 58.101609005076838, 59.728439837671502, 61.219270683752164, 61.419521550710854, 64.16071161041539, 65.979835788113675, 66.176560553678755, 69.056969505780643, 70.087569683133239, 70.976016597051327, 71.400989268814143, 71.831647596078938, 71.901654598519258, 72.444620153783021, 72.81912659404378, 73.743433748201724, 73.903005237769705, 74.592596637430049, 75.563983945483599, 78.731946333150873, 79.16088159680848, 81.218487519697021, 82.200490669401077, 83.328056804536175, 83.876824314751872, 84.609664794746593, 85.209753960531913, 85.615782661753144, 85.958839584466887, 86.296266656182496, 86.341772518329563, 86.449344625023045, 87.497176528977022, 87.567121058963011, 88.326550693956506, 88.499435387751873, 88.554565101300341, 89.023762808929845, 89.338604762602415, 90.458085976104002, 94.216120768453578, 94.254452254247767, 97.7558496473047, 98.441127826608366, 101.674682115189, 101.82016529119943, 102.54151403376717, 103.46387379544208, 103.54838618809011, 104.42598084247075, 104.62689434553543, 105.28262001958886, 105.66313635599626, 106.24517233423627, 106.44104789376941, 107.33845544417106, 109.21522011153081, 113.13792985775342, 113.21601255556979, 116.0918678299165, 116.2889914786219, 117.31166946156199, 119.12964104680611, 120.0160234088882, 121.44979310580942, 123.61971153241772, 125.1573793341351, 125.443841130519, 125.5967951891519, 127.13478879266422, 127.24303333972021, 127.33737417585894, 127.54896016774217, 127.71654934217798, 129.01361299372053, 131.84492314774459, 133.04342979785076, 133.12579090417356, 134.40957556412613, 137.56336918707441, 137.98460821843634, 139.99020939445521, 140.30716561140508, 140.3286819026485, 141.61091496205631, 141.8528258869334, 142.37499263419892, 142.69703668657829, 145.24337879457636, 145.32614402008963, 145.74075937353689, 146.17259551879849, 146.26551135883338, 146.61071883356507, 148.82980310096755, 150.85126487572464, 152.9504487668267, 153.31957916329412, 153.5707005555482, 156.8355263926305, 157.58126685543377, 158.95982490868323, 159.77461616622335, 160.45119132831618, 161.56072528767197, 164.85055440571378, 166.26373022206658, 166.40050796385614, 168.68795269967413, 169.41936728486203, 170.38195978871525, 175.14350869205248, 175.66230898407426, 175.75460920398999, 176.30528488851917, 176.4783141284899, 176.8500467833471, 177.28014068708646, 177.943811238862, 178.77744789237818, 179.02827470744529, 179.08071491512229, 179.28017888811544, 179.6158755872209, 179.86428522438234, 181.03412653841627, 184.0368710747432, 188.93663701190141, 189.15500747488286, 191.24766772717038, 191.47163456985305, 191.54743509231295, 192.04725441100803, 192.59410495883969, 194.36698902476181, 194.44343696335284, 194.5014678729689, 195.44429908949883, 195.72981037577313, 195.86995162225725, 196.29493285231001, 197.63802100202983, 197.71009042834362, 197.79745692369346, 199.41196094576827, 202.1945220814932, 202.53961197200334, 206.42792333909622, 206.61766219739857, 207.04206787706633, 209.4929014611611, 210.50734596174448, 211.01302672655069, 213.04177641853906, 213.55148493318339, 215.15317380343873, 216.02473339613229, 217.32912244134565, 217.38089560257026, 218.58426881865137, 219.0371141770878, 220.11535388695867, 221.02738074671836, 221.45199944926406, 221.74102572270701, 221.98416465553413, 222.24573880595082, 224.46189730074579, 224.53250747393272, 225.14005731458138, 225.78678248776856, 226.35618657509613, 227.38218056301608, 229.98524535901589, 231.71301129571347, 232.77155169640653, 236.36626297706658, 236.40050285869697, 236.66765065440745, 238.38929196762936, 239.42695060214547, 240.17687430843776, 240.94201718213637, 241.49009347775703, 243.85359286517198, 244.20755034824822, 245.04911100529606, 245.30230166145125, 245.871286540885, 246.23068285703621, 248.3040476488253, 249.49648379120805, 251.03289413921141, 252.22916653755439, 252.97967347753021, 254.68956528555438, 255.75362881003005, 255.82073035279376, 256.57198638107883, 256.75804033328802, 256.85295340539642, 257.68689788329334, 258.48737381718638, 258.89531560891015, 259.88702683801364, 259.95137099890036, 260.03394184424025, 261.34018756132144, 262.75314917484064, 263.11018041415997, 263.69354532749674, 263.9680183773462, 266.97083896212519, 267.07788095726482, 267.15904384290627, 267.37666383053676, 267.80709585884472, 268.27979703409909, 271.43548249034637, 272.11358699684354, 272.28567034180054, 272.73182482184916, 272.81976004172395, 272.88164892401596, 275.62717520128803, 276.86785436879757, 278.0800327260701, 278.24964270537185, 278.83584193922161, 279.14879049298861, 279.27621039105236, 281.70221081837445, 282.60431735407263, 283.43575985631981, 284.73882699304238, 285.02516713951997, 285.26814958444527, 286.80332266445805, 287.35205727937671, 290.07666555119044, 290.53137805512773, 291.66745340560351, 292.44108977466595, 293.19122546164294, 293.31550711177704, 295.61761521870301, 297.29815363642422, 298.44479730226385, 298.66879509514956, 299.27223662099988, 299.63291547193427, 300.2850776881848, 301.07859643282626, 301.74918809670538, 302.75704926721721, 304.55105827238037, 305.27657042137361, 305.38777205176871, 306.45128385916189, 306.97850040411544, 307.21455807881773, 310.17227052743857, 311.29879997005196, 313.25436599573516, 313.58958334574953, 314.63044192245292, 315.92251565712945, 315.98839349164467, 316.63635123462893, 317.55239462253644, 318.07260296502881, 318.66350321315065, 318.83498583324427, 319.06097397271037, 319.56499067067699, 320.29661599222391, 321.97664045951245, 322.36034548772108, 322.38907258084549, 322.43442661781677, 323.04608678440218, 323.6466973839448, 323.89943418313476, 324.39653942477787, 325.36978980106994, 326.34798932191455, 328.21919513422262, 329.58732407950316, 333.35216135341216, 333.52793077808877, 335.54360633725804, 335.83795967321475, 336.47114792394473, 336.53320998685734, 337.21739691664044, 338.75911933326381, 339.66773534510725, 340.69235024832665, 341.68307980425749, 342.28680812356924, 342.41256075995841, 343.53499491886657, 343.60966135543816, 344.14774930584997, 344.41677190000973, 346.05583472654752, 348.43541459486426, 349.7550619799224, 350.01374667633911, 352.14575458281831, 353.15876543131856, 353.39510028886684, 355.14165837832388, 355.71436727197198, 356.27792933076631, 359.50757034619818, 359.81965572129809, 361.03802217242639, 361.4007004165307, 362.44877418655631, 363.78656272607344, 364.73351151679896, 364.82476380366995, 364.98632321794418, 365.84972542290228, 368.64920001218081, 371.21661071471925, 371.42643846024504, 372.67827671342405, 372.96382373166949, 374.10208952155273, 375.18374882066968, 375.23682091207138, 377.71261371518835, 379.38243788647111, 379.61934129633295, 379.99986267115474, 380.43145081036084, 382.27220349561617, 384.3449453040389, 388.37230384238978, 388.50498001302407, 389.74754679082821, 391.34756875085424, 391.92512460931385, 393.21750147864765, 393.94972156022277, 395.04143707043738, 395.72509545432473, 395.7837737575386, 398.48785525395385, 398.55068798923315, 401.27829067708126, 401.36958722057676, 402.13072294235025, 403.64543589095604, 404.22354591639828, 405.39550653477067, 405.66872050328755, 405.93276295500004, 407.55870254089405, 408.44276569949358, 408.59165301937486, 409.54892482361385, 409.70185257346213, 410.11295278468361, 410.52785816622071, 410.99103050558904, 412.02764749804567, 413.85332363135853, 416.08508155214844, 416.20532411461795, 417.67532082714416, 418.33754162506659, 419.11383304614708, 419.88017932560348, 420.26297139071909, 421.88723318649664, 422.22680476165493, 422.66235234229009, 423.14584485645179, 423.32400950430122, 423.98959456439002, 425.3332643186352, 426.39748442380733, 426.56168857010528, 428.92911901498996, 429.18947324864206, 431.13339250561364, 431.20870059268759, 431.50594446333031, 434.02816986287064, 435.38118334960393, 437.07099461408563, 437.53959628057589, 438.35266163005593, 439.04429222632319, 439.55158376375124, 440.21848100634168, 443.13510756029984, 446.15322667767015, 446.48773417615718, 446.50835186116819, 446.55345460800379, 447.00325295117608, 450.88479497000645, 451.01282398976474, 451.0543497471246, 452.34231601888382, 453.16484709469051, 453.48309026663958, 453.56274118179209, 454.01100409333498, 454.93737187647628, 455.95057396048452, 457.36029719349096, 457.69984143760342, 459.66358065179929, 461.2257822960745, 461.29398365072285, 461.63403174931511, 463.23629088291653, 463.32430263575458, 464.56783846481261, 465.09466293615247, 465.41487532818837, 466.5753021858639, 467.29342345476999, 467.76774927627071, 469.30739064586794, 469.44950966236547, 470.51054925365156, 470.57090536595086, 471.59616750752519, 474.86039370505506, 477.00113206863966, 478.71944095429257, 480.23579417161903, 480.77378988906588, 481.55435649527584, 483.70557904533808, 485.6622942277213, 486.04413222876303, 488.3489402301164, 489.20013333340029, 489.86092313452735, 491.08249306609702, 491.52501573763681, 492.28602002871816, 494.40617483977769, 495.04722317411176, 495.12541091135529, 496.61001999181047, 497.43293545118041, 497.51127621892118, 499.76067124738148, 499.80560358552566, 500.88114659141166, 501.31935656615383, 508.34815785073152, 508.77322064292269, 509.61046412201722, 510.12076330337675, 510.58281661534562, 511.03114815740912, 511.40725697268039, 511.55864234444033, 513.32260900696656, 514.12025044265988, 518.62380973003371, 520.12341109057434, 521.3964646862446, 523.48413602699748, 523.59158494058079, 523.76969640324012, 524.87009113270176, 525.25822248341365, 526.05619949758659, 527.10352070865554, 528.03375255101753, 529.8960063262108, 530.05260772549661, 530.28019866653631, 533.31159694512712, 533.48527446000821, 537.85778926484397, 539.33817452677044, 540.77174143707975, 543.22519345855414, 545.80416389665311, 546.14173180208684, 549.23491818512946, 551.66888554353989, 552.26741597421858, 552.58291800354914, 553.24103201932746, 553.74868722541646, 554.12705434486838, 555.0107213426445, 555.6429463951124, 556.65995607934633, 559.12603865331414, 559.54974349239069, 560.44518304571079, 560.52730596014521, 562.17745766193673, 563.06177010399381, 563.08647646389545, 564.02636354566539, 564.09923898411648, 564.12401895997471, 565.32132143680121, 565.77393627891547, 567.04561043725198, 567.12715034996938, 567.58692683777167, 567.86775182666656, 568.61322953383092, 569.35436931922982, 569.61901450295068, 570.57171866467149, 570.87308930008567, 571.54769553319272, 573.03491298147048, 574.22536320434574, 577.19283779542172, 578.37238442327805, 578.77956901473692, 580.74391155192461, 581.09341528697712, 583.23740186627288, 583.44319210784772, 584.92647003750562, 585.25836383737658, 587.88977423096173, 588.07228027228166, 589.46926639008689, 591.27733819563423, 591.58323777439352, 592.1379155678942, 592.73425633619354, 593.17324997832316, 594.00072895968003, 594.24616720088466, 595.72786707789464, 596.28228416793195, 598.28440026434646, 598.98914654792293, 602.29696772425802, 602.72811316116008, 602.83408128430131, 603.24445370451883, 604.42312656318006, 605.73722537357844, 605.8245382002591, 605.96277137963671, 606.70021624585343, 608.30180880298849, 609.37481253401984, 609.68883428559047, 611.84496544810565, 613.17784239536604, 614.43073196249134, 614.52416510963167, 616.29800748903199, 617.81209527234159, 618.26622886233633, 618.64470054376432, 618.88761976606406, 621.06177967196709, 623.52481167722362, 623.59559534192761, 624.22969240444024, 626.79451485125674, 626.86174559467452, 627.28858031260779, 627.4489445741649, 628.34506810675407, 629.06615984693201, 629.20756240352785, 630.18008679517607, 630.22597050491129, 632.49428230788874, 632.65890092166012, 632.69361834294796, 632.977191650696, 634.61811467122823, 635.17257853227636, 635.70234711763635, 636.03042592615475, 636.27568554582092, 637.04095147666828, 637.30517971027632, 637.64704905257497, 638.12371165656043, 638.21409892294639, 639.90009341020129, 640.35758023543701, 642.31199539856505, 642.72111349101135, 643.0160351280457, 646.04656711857331, 647.85970572945962, 648.90504104573006, 651.12157105646031, 652.16187097324053, 652.21816885152725, 652.26031249914536, 653.3139146477555, 656.11250669738649, 657.67403403825801, 657.81628255591579, 658.18646435007258, 658.42820942250046, 660.43345154122392, 660.78395169482189, 661.99469960085628, 662.74339448895421, 663.70018055466187, 664.21202438809974, 664.62007165257728, 666.51302787150871, 667.57856702038816, 668.35082590708828, 668.8660367561514, 669.89506654118384, 670.10574571691529, 670.41603294812012, 670.64579801360605, 671.14371875958102, 672.55031248297519, 673.04364274781938, 673.3450840179745, 673.87462085063282, 675.41986635560454, 676.25380377639476, 677.46323320291617, 679.84906983306462, 679.99671893065556, 680.16374044561644, 680.27498122838392, 682.81246587852411, 683.33114483422446, 683.36569752794367, 683.45713791568664, 683.76469192748095, 684.100760719601, 686.56960373633683, 687.25307367818016, 688.00545363858339, 690.98999370562058, 692.31018740437401, 692.70696740037329, 693.68635434541534, 694.99309730798586, 696.16149991671091, 696.30973341249012, 697.28833266227616, 697.52919068688141, 698.21939459869316, 698.99759218381746, 699.30149837222518, 699.46475121274409, 699.61975435123156, 701.57874606367523, 701.79043953246901, 702.09996878811762, 702.90300594402265, 707.47133305575403, 708.95823813170409, 709.35615265341005, 713.69374235173484, 714.93146262372647, 715.79100610925798, 717.75751024949398, 720.73735548193747, 720.92903080420899, 721.00983453474885, 729.62142085900166, 730.10977104255062, 730.72060984185612, 731.94070520008313, 733.40374928453184, 734.27752437733386, 734.34813155988513, 735.15187717589311, 736.05882264897957, 738.12379737457047, 738.91763502041977, 740.41947599062803, 741.96182322196864, 743.53342968394645, 744.82744293543317, 745.12192407666612, 746.1220298333825, 747.10099648752316, 747.44176890040842, 748.4994871277479, 750.7307067298666, 754.13219008041051, 756.00293280015239, 756.04356783116145, 756.98704628653627, 758.26376975314713, 758.53067044541342, 758.69871482431267, 759.26982304590399, 759.98452671705866, 761.67239121782256, 762.52355100091324, 764.5962284826561, 765.07716155354922, 767.45498295623997, 767.81271841800242, 768.60494153065679, 769.70810234455848, 769.9230609873772, 770.79748809390276, 771.68733011848053, 771.80002011186468, 771.90681083068557, 774.34692520007331, 774.37501581850734, 778.86608808392828, 780.66438174272162, 780.92837465683499, 781.00485108341479, 781.3416726905516, 781.96131319679455, 782.51458670929378, 784.10432859337141, 784.68287979296883, 785.02147007491999, 785.50069071248015, 785.72257256313299, 788.46665385076017, 789.16956098330763, 790.81359393311652, 790.8379436086301, 791.2709474567913, 792.06116070728103, 792.67005326966444, 794.4811048979509, 795.4064186852255, 797.79390169700116, 798.20488379973347, 798.57524233215145, 799.2301995889693, 799.85348669826362, 800.75047717117297, 800.90620298314047, 801.03522901919598, 801.59042625632196, 801.61387111868657, 801.65568646246595, 801.73439546689099, 801.76929054562811, 802.29320497025742, 802.62762979681952, 802.89888773232042, 803.74206059448534, 804.48046702386932, 805.3406290572517, 805.45285170820898, 805.52143052721931, 806.13187145972063, 806.37794912603317, 806.42843962847883, 807.38834851771117, 807.8366593867205, 808.14832907419611, 809.75397205136755, 809.91252866737352, 810.97743018115682, 812.22953223095703, 812.49487631609941, 812.96804979702222, 813.44180017291421, 813.90546654839818, 815.11974013790586, 816.27515549553357, 818.61169855437629, 820.86890011126172, 820.99834108862296, 821.62511640028481, 823.09688211542368, 824.84470032798924, 825.27876296225043, 826.48481746536822, 827.99408926772719, 829.35391531093728, 830.40677147199358, 830.56393880923076, 832.40917343789977, 835.93085757319682, 836.26631858207941, 838.00312568681363, 838.80996779030295, 839.40972827296912, 839.50419904483226, 839.63751585517798, 839.85317680734443, 840.78827588788852, 841.2788978739901, 841.35230767426174, 842.52373684461713, 842.76203205234833, 843.60581081448834, 843.90025905325035, 844.06958451958803, 845.14620856177737, 848.30045026819823, 848.92774571451992, 851.53650051451189, 851.66194769954359, 851.74676428075963, 852.42953072052853, 852.84429456715839, 855.60777708480452, 857.74423156888304, 858.89347411224026, 859.08557884280435, 859.20695150650931, 863.84859580815112, 863.87180102656862, 863.95230680288716, 866.04724259343686, 866.69875908994459, 868.44289819426604, 869.5264702334523, 870.79273254826717, 872.05292456953816, 872.26078004869055, 874.52782269611498, 874.77105911349281, 876.53778154186671, 876.79779019799037, 877.29483824610043, 877.5693874792222, 877.8910295582242, 879.31657552248817, 879.53181562946031, 882.52045568478547, 884.92440008275844, 885.89624410020826, 887.31532013043284, 888.94891409865318, 888.98861027571127, 889.22315822399321, 889.80084276995467, 890.83277151370953, 891.14118425334277, 893.67580821770707, 894.3930099520453, 895.86374679397375, 896.21924212541444, 897.45627626979694, 897.57718372033003, 897.80927293987997, 900.63717096367952, 900.7120137166429, 900.75549651269637, 901.38981227382976, 902.47098816924017, 902.83607746229973, 905.84274290909138, 906.37177430812255, 906.67283309804645, 906.99525659691039, 909.36889134292676, 909.55583170077432, 910.6678116289894, 912.1109712187548, 912.64737964010681, 913.61856755085728, 913.86590968646749, 914.48121024831494, 916.75535498051363, 918.01954673795251, 918.86009811812471, 919.19846558426832, 919.73717516575209, 923.81963449861792, 924.98832003234179, 927.44084211003417, 927.78057415945341, 928.9201643931375, 929.86963437703707, 930.16025737400037, 931.59436277406633, 932.27734049400101, 932.41579113161481, 933.59559937769359, 935.44676277432188, 935.50680939274798, 935.73405759721607, 936.91916320604275, 938.07683194627214, 938.16861863919826, 938.22948801704638, 938.76975528366347, 940.2234034176422, 942.24197179938551, 942.87659647658472, 944.68489975133241, 945.3227892554944, 945.7548598149167, 946.23621720450649, 946.95055721770473, 949.06639190453529, 949.85031564081055, 951.44537211624777, 951.82825160916775, 952.78234342269627, 953.97816229811679, 955.52158922905039, 955.95018027478602, 956.47839144634827, 959.4903859994015, 960.59029831706653, 960.79790570815408, 961.2990646001299, 961.64785059072074, 962.2367798901596, 964.69227192092512, 966.90518579210016, 966.96722440370161, 967.27356135191008, 967.44644511078116, 969.13610985975458, 969.86453847606811, 969.96205269768188, 970.21477249185932, 972.17175133048215, 972.31554358920846, 972.49615382955767, 974.99735749860577, 975.07567342171831, 975.86657321939219, 976.64861361009287, 976.82413834191186, 978.18937015408176, 978.46331040112455, 980.70545347697396, 980.96201054435562, 981.22273866733065, 982.85179004845725, 983.62999776361949, 986.08047680230425, 987.6967522452378, 987.76710363324116, 992.8708332664246, 993.51670408810526, 994.63659015242877, 995.10532329527689, 999.93962784171913, 1000.0760037208867]),array([61.700847529992899, 62.808216012976075, 64.343402501151232, 65.661043804653744, 66.261748420226922, 67.255110161473681, 67.755340116742545, 69.571663612603786, 70.081432532185332, 72.439553561132044, 73.285261110584742, 73.940206434659245, 74.229696619069827, 75.643104284281506, 76.391930240481713, 79.370973909161336, 80.184667262417875, 80.591451953130004, 82.575313476028512, 82.811683322110426, 83.314902182815572, 84.322343905558114, 84.654573732471277, 84.761178554429208, 85.062915481142639, 85.524503836933519, 85.6004066301943, 86.608604714745766, 86.661125735511149, 88.02396123268889, 88.494392132541691, 88.532889519221897, 89.530451838176887, 90.198733934865473, 90.723745871895403, 91.845020421416947, 93.201111286111455, 95.740930964523628, 95.800008651111511, 95.849674138826003, 97.214663102102378, 97.944496480880304, 98.429644005626955, 98.538998530622621, 98.775007998641811, 99.525491537375245, 100.10927120032297, 100.36612057479196, 101.31528326780466, 101.38236707434022, 101.91416119250351, 103.436359389119, 103.59669851558435, 104.06358991469727, 104.37975552002321, 105.50452103598982, 105.58614265119566, 105.87551096813939, 106.6699897008684, 107.65951358532593, 109.16194219250022, 110.76199862127486, 113.04158432348444, 113.47241435358785, 113.90524992099434, 114.45686617071236, 115.39718489743521, 115.56864454487973, 116.96728248640919, 117.2792146675536, 117.57544523594204, 119.26890940168026, 119.49236808106851, 121.26902569873435, 123.10516538496589, 124.34020773506978, 125.02046657051304, 125.15196043461593, 125.3776229603895, 125.62482184541662, 126.67246103137758, 126.89912578989519, 128.24322606437681, 128.86471156881888, 129.25933265877333, 129.35029813035428, 129.60119862468318, 131.50357547753481, 134.54897069903652, 135.98969050613795, 136.76770107919242, 137.47571163468385, 137.80223466676452, 138.73912924214324, 139.15955714126139, 141.22254821294175, 141.33462151760955, 143.69065859473864, 143.8381369753258, 143.90392608471936, 144.47086981293134, 146.13739817340439, 149.42162430416849, 151.51569289028257, 152.29217393654591, 152.64000972871827, 153.40569441136631, 154.00369940038209, 155.73784624051945, 155.79418757589278, 155.89920342687486, 156.00626446565988, 157.18448857009801, 160.25767849369635, 161.05812361356246, 161.33494320166949, 162.16287761026359, 163.11669725364621, 164.48474610666517, 167.36982534166779, 167.59060961400215, 167.98274317091247, 169.7115266605341, 169.88890919189143, 171.39802574996497, 172.13183118224953, 172.21022292764542, 175.08361633507272, 178.13036820994245, 178.55044028481572, 179.40833020489504, 179.58762136524368, 179.94948508068347, 180.86321651571552, 181.57070982031303, 182.6482828288168, 185.48307389719784, 188.17596218109753, 189.84266711458696, 191.93550561451724, 193.40492449963173, 194.0379101680652, 194.14625646834367, 194.94667642432506, 195.99649319740132, 196.46887869782816, 197.8776178119966, 198.52694038797262, 199.35734701755399, 199.42093349145492, 199.48762973090328, 199.90521599518848, 200.57533328822043, 202.67017844957101, 202.92766472533216, 204.15171480138827, 207.02479580841404, 213.29417414337493, 213.42302322836215, 213.8240590560525, 214.38354900016182, 214.84423559839726, 214.93678446996697, 216.44980373805114, 217.75925881984156, 217.95404038925335, 218.06327500637715, 218.17086482524599, 220.28535299483443, 220.38626962137815, 220.87757898790008, 221.78355420937834, 222.10589873535918, 222.7997132160001, 224.25151871167347, 225.56745792284931, 225.8620853273199, 225.91912140821415, 226.94999212927169, 227.62856693305216, 229.35897902442935, 229.73866361297081, 230.83792883755751, 233.85758345416639, 234.85555744649173, 235.78733882817085, 236.84108444620063, 237.43256119022647, 240.3351771490282, 240.45041612695007, 240.72161338225234, 240.79229071450777, 242.1228744262913, 244.18500367142738, 245.73030196379781, 245.96783364454123, 247.86262503285647, 252.07294319557545, 252.13448352372487, 254.80023278585969, 254.96424137263551, 255.45679180929281, 255.53833672499812, 256.34170142753607, 256.47369654316196, 256.5570320448366, 256.97559061985908, 258.66653675318742, 259.64522459227283, 259.99463318186656, 262.95172949685639, 263.51211812231048, 263.72802061554074, 264.56163424939552, 265.03550994341305, 265.20437064531507, 266.98608014119645, 267.00617249868185, 267.17768328754715, 267.56150728150124, 267.64006730501427, 270.4988313749094, 273.11084983955112, 273.63212320868598, 274.21576165801486, 274.23849952631502, 279.35866338294386, 280.64705713277885, 281.89773058383673, 282.1283145921754, 282.22040660127624, 282.58051511277921, 283.21399916557903, 284.66015385163882, 284.9054851605577, 285.4696794163566, 285.57671335982661, 286.14557295169737, 286.9478008566989, 287.02668081687426, 288.99367068782027, 290.55414758038188, 291.93112362928571, 293.30423493405323, 293.47602038073444, 294.16458676836783, 294.19260260423528, 295.14544954569317, 296.01623796957062, 296.61160183531064, 297.44884453204332, 300.9681413998548, 301.94276190099987, 302.27421040723686, 302.7279409515383, 304.60400443852473, 304.90078916369151, 305.2160218628087, 305.96482011976144, 306.27081361058049, 307.66691385667752, 309.73408757907663, 310.22414149526827, 310.64967153980245, 311.23642256616182, 311.26047994083814, 312.00452605581, 317.05532589117001, 317.24392249819903, 318.68146548747183, 321.06046398889845, 321.37163689226099, 321.57055280796578, 323.76021015326154, 324.36611129937137, 326.15241235725739, 327.04155046760434, 329.01252766017404, 330.10149595005947, 330.50142997429714, 331.81768087143047, 332.75051598386466, 336.32264564748624, 336.77012517512009, 338.48037718241051, 341.12598471334462, 341.36641552369747, 342.20865753529557, 342.55039684635011, 342.82748529625832, 343.38583454215546, 344.488672330969, 345.18588692850807, 348.20502155029698, 348.8363718008269, 348.95080764125436, 349.01192668259432, 349.47658536785286, 350.43040817171391, 350.52183162159622, 351.07867935179809, 351.69293582168956, 351.94881450623325, 352.13207260736175, 352.92164580742923, 353.24625915020079, 354.99263574393376, 355.27800944169445, 355.71479726715575, 356.098044154918, 356.62517830008198, 356.87349800204197, 358.52414169371701, 358.69087217647012, 358.85470151110582, 360.71605776389981, 361.32780014497729, 363.07081650913119, 363.46678084735123, 365.2514855545063, 365.64275464606828, 366.25280433184315, 366.73743334133593, 368.20483784155391, 368.60664206550575, 369.47402628857373, 369.92020902500133, 370.27113554235331, 371.52943839803959, 371.79911409470225, 372.58854924013076, 373.40634282973264, 374.59716488697143, 374.69261633481716, 378.03363067169249, 379.71120631122074, 381.65069400900575, 382.25585369520445, 382.82403471129084, 382.96669068939377, 384.62766825738157, 385.31081750361358, 387.21190071831194, 387.81473616099987, 388.7670736635572, 389.94672086252012, 390.05910889030849, 393.16077747611598, 393.97057660478885, 394.48694186455407, 397.07550179174063, 397.49833235627375, 398.20592997468344, 398.62953335575156, 399.71052969753111, 400.213514530851, 400.3538357351249, 401.72631597456785, 401.87272270835012, 402.42941340999045, 402.98297162864884, 403.05216470551119, 405.97395444647981, 406.46179951438108, 408.49785209869356, 409.20335963930751, 411.17830297755449, 411.36371982303024, 412.40108483329345, 412.62593445943509, 414.06390500992092, 415.41947605164029, 416.3360922601027, 417.44896719951487, 417.73276864701245, 419.32761949909218, 420.6829648495509, 421.73345013961057, 422.30577796939156, 423.10281754463, 423.43158026447094, 423.49709875593851, 423.63954317122318, 424.64085294372944, 425.44321892430952, 425.69982938104317, 426.10510800725547, 428.09955777083945, 428.41139753957356, 429.16120348173399, 430.23034645396524, 431.5730059982763, 432.32988338549438, 434.3827469589724, 435.42168493165173, 435.7569343356497, 436.8936161346295, 440.70482564487565, 441.57393820233619, 443.1230411894951, 445.27182385682539, 446.81260169362434, 447.28926407394954, 447.81135999048774, 447.96552457469392, 448.02863387811323, 448.97210368900113, 451.45959178260665, 452.77748754532229, 453.35681308959761, 454.88892164037247, 455.06381104265103, 455.27375844525136, 455.61386978121823, 457.65939493762875, 457.9643811197127, 458.04544862162061, 458.63074699611684, 459.32144511037762, 462.04514683323993, 463.64715464757791, 465.00779906339932, 465.75447321272668, 465.79675565828478, 466.09364193401393, 467.12102331313747, 468.41386360728353, 468.57660328682942, 469.40242914713707, 470.58434197442404, 471.62306958258392, 472.22464733331435, 473.30629507822795, 474.29862336597444, 475.16279662044303, 476.01040525205718, 476.11205726142202, 477.84198677383415, 478.38445479875736, 479.71586660851762, 480.60311716423922, 480.668646484134, 481.57714181419874, 482.85687429861218, 484.88699548101573, 487.78176096767811, 488.53278224502122, 488.6428641540553, 489.76987098066604, 490.54971035863264, 491.18862938343648, 491.48401806927791, 492.40279426899269, 492.74978743338045, 496.04647325543112, 497.92949813908081, 499.58316247335472, 501.08586014002924, 501.2359946805862, 501.27078157579416, 502.50316631622974, 503.28524053003474, 505.37994490299707, 505.97563969149019, 506.63579737036184, 506.68461086696078, 506.74901908364279, 506.80925041634072, 507.89960701772765, 508.01525271511366, 508.41062922420349, 509.44046836670498, 509.75055004076796, 510.08796720653794, 510.28292321156766, 510.35534949363279, 512.99698666651773, 514.77882839198924, 517.57440453173649, 517.91531765364198, 519.34546931463785, 521.25509375215813, 521.86617635264065, 522.67039073732394, 527.50370759568978, 528.36748819364823, 530.04359280271854, 532.31911072547177, 532.34639953661235, 532.78804194521729, 533.86736252965284, 533.9255143332532, 534.30224345034355, 534.55011125074225, 536.36068098042267, 537.15672112849234, 537.49789190505498, 538.50802047863897, 539.17898518999277, 540.05936937235469, 541.57560112414944, 541.70052924620404, 543.12329173344858, 543.1811490414924, 544.92262210512195, 545.50354041606033, 545.90293333726709, 546.01024954379636, 547.06028242080345, 547.42079768594635, 548.51678433574057, 550.00272780470812, 551.43605547062418, 552.08787833389238, 553.26513814118425, 553.61351017360118, 554.85672298933366, 555.23227514933615, 555.26785269470884, 557.72632359769955, 559.11009135159179, 559.44045473329561, 560.35977177034079, 561.37844934953068, 561.42829409993476, 561.98012144037807, 562.12154532273928, 564.18523167244291, 564.62113126543716, 564.7416760101155, 565.21907078939194, 565.56940722625359, 565.75527576735362, 565.92745376802668, 566.26745011877597, 566.84954658648633, 567.26135875846944, 567.80836022882625, 571.00587548285728, 574.33475829347867, 574.45363502824353, 574.79995716056442, 575.18082711652505, 575.26909915687997, 575.71560333257037, 579.1921223476611, 579.25316771949451, 579.34584737769114, 582.05047390960965, 582.51004273429101, 583.14888086932683, 583.55397665890757, 587.46010974326919, 589.23539401661651, 590.6823965689689, 591.41687972841521, 592.92781421945381, 594.933257812958, 595.48424122272536, 596.81223994175082, 597.42659014383128, 597.88190092032642, 598.37371679547505, 599.26859106539894, 599.43333233387102, 599.96930490868476, 600.88950237420329, 600.98478125548979, 601.28425897832176, 602.75802757776933, 604.15644784541178, 604.3500668121751, 606.38562738627115, 606.4313774670577, 606.5360643440398, 607.60540506308701, 610.5189599173674, 613.08966308624724, 614.06242836817569, 615.31859357335679, 616.58045180468616, 618.81251683074356, 619.90638344838953, 620.47159917510896, 620.9576590546352, 621.55535602814314, 623.53750161808296, 624.20121462317172, 624.74680979392883, 625.3908355691193, 626.55511184324519, 626.80664628487489, 626.85258680478512, 628.49006098545533, 628.58226385441083, 629.62388195165704, 630.68090324639581, 631.08488925600125, 632.43001233809434, 633.92607708608875, 635.93767952576013, 636.16821933091137, 636.19555825816985, 636.26572877676574, 637.34991174218499, 637.75221984790869, 638.18720339327399, 639.7146747651949, 640.80654029033246, 641.46262535213873, 641.48623981079754, 642.16314738270762, 642.90968176893205, 645.43821014758987, 645.75054757497776, 646.17571690440855, 646.28770675920657, 648.75489742713978, 651.55304347918207, 652.23770447172376, 652.58938521947516, 653.4494634060793, 654.19490674657743, 654.42160071693615, 654.93451970269518, 655.61599352917813, 656.30768521282027, 659.83293700291711, 659.85466792582599, 661.86933681809398, 662.50991116305863, 662.71852857243039, 666.27041418112424, 668.15655395027352, 668.4544341510117, 668.7302595351357, 672.5613785828856, 673.13991879880632, 674.40880133124824, 675.07139005211775, 675.58303623529866, 682.91420078607246, 683.97337398106833, 684.65397610007426, 685.51688139946498, 686.33809703568727, 687.99338366089478, 689.94291447801015, 691.87184610454267, 693.23153626186718, 696.58077673802984, 697.9631121855067, 699.51219272078606, 700.12034881101079, 701.13082802299255, 701.21034611838479, 701.64857505527823, 703.0216180713594, 703.79423087721193, 704.02173795857675, 704.05216593381704, 704.49923382398958, 704.85002228417113, 708.2382167888635, 709.3560010800652, 709.40080238287226, 709.94135275120993, 712.40175984473888, 712.58114871666953, 713.09281419149045, 714.07018087034419, 714.2889336360073, 717.74555730442694, 719.23708737841707, 720.19610182020767, 720.2923677696225, 720.89471948159473, 724.03345728579814, 726.63906690778151, 727.43425259547871, 731.40613427973915, 733.48210061912278, 733.51881762563448, 734.22765226293086, 735.7391837273517, 736.85405478042435, 738.22736979234082, 738.38077563302636, 740.32604393735278, 740.98656875624931, 742.79902089725772, 744.80927227444192, 745.22110555925838, 746.40407731895039, 747.13450413094176, 748.60492398938925, 753.96691673572263, 754.13557810075827, 755.95408470929385, 756.15516810363545, 758.54776877738118, 758.90353608247506, 760.99484826873447, 762.92569453749263, 765.69837248899148, 765.7217552733922, 767.87676722544563, 768.35971728468189, 770.41578873209107, 770.58107867918068, 770.82219324919231, 772.37237002038114, 772.78407470803108, 775.46778357301503, 775.62900144291916, 775.9444486348325, 776.24933260119496, 778.73110055545772, 780.24152140435172, 780.97492828063071, 781.55720010379582, 784.45902115989134, 784.56741631730631, 784.69769321878812, 785.37009863767821, 787.51976099849981, 791.11705244690472, 792.31156464293758, 792.3372187795585, 792.76597626949399, 793.21757684784006, 793.30774098236282, 793.56079332131901, 797.38749780098931, 797.5494665633322, 798.55788627541222, 799.05301705452962, 799.7668265742825, 800.75324157986449, 802.34111571650101, 805.06531349650288, 806.56901159912411, 807.5862488594845, 807.9153321374605, 808.06188488575219, 808.21307421135248, 809.73722460280283, 809.84735421681705, 810.40037605767475, 810.50445172631134, 811.12474445846544, 812.28527303046587, 814.62169351735372, 815.74489344465383, 816.29384653110071, 816.50738075689628, 817.89935609611405, 817.96598996573812, 818.65225546162901, 819.80828333926684, 821.64750493685256, 825.12786195450224, 825.92736080272084, 829.72194450657491, 833.2600713610866, 834.87261519172193, 835.75808133849284, 835.99042263423212, 836.75939559190533, 836.78777268830231, 837.75420798377138, 838.94927087181964, 838.97202064407441, 839.59266804741389, 840.36632687484621, 840.6931523623507, 840.85106304355247, 841.34632546243029, 841.67740425975796, 842.18808508053064, 842.32972427005745, 842.37426340911907, 843.34595769572786, 845.72422653139552, 846.57936025135609, 846.75144565823825, 848.71046755505324, 850.64351299075327, 851.08004345653046, 851.45075070302994, 852.19317325355621, 854.91914848852787, 855.07276670993599, 856.43407779990298, 857.22013838475698, 858.75938802664268, 859.19951339604222, 859.54016713216663, 861.43548310178016, 862.34301446257803, 862.70568337603493, 863.25978854162804, 864.05343790858467, 866.18698901847642, 867.13369806781532, 868.69955769911314, 868.98647767064949, 870.08868211872414, 870.3185649010278, 870.35347096070359, 872.05000654022842, 872.41628035286055, 872.78974084381991, 872.98438898665461, 873.25679424918212, 874.63597233190876, 874.95131178384815, 876.04339803589869, 876.24782546130427, 876.9148201681362, 877.77143600685224, 879.51440442788214, 879.54758418939014, 880.66044822476954, 881.01102982417865, 881.43870138125362, 882.60886081788919, 883.0607492384496, 883.46401496739918, 884.80764939936637, 885.92334652551051, 886.63878333913988, 887.46412456114763, 887.59455354468139, 887.80524128541072, 888.37076851014126, 890.95356815618186, 891.61536410779104, 892.77739985863536, 893.63785379990099, 894.87794056965913, 898.09739996046892, 898.12741195849662, 898.17872367597477, 898.54596668193506, 898.65429505383599, 899.62124193127011, 899.7800018574718, 900.70204938974098, 902.77825132801456, 903.73210651848569, 905.45163894714221, 908.01796925439942, 908.8235451049128, 909.35093687461017, 911.47273454129311, 912.13433031946602, 912.7888173186675, 914.89406806070156, 916.64335255281787, 920.19405317396536, 921.10695543728286, 922.70771771285217, 923.17202562514592, 925.41098761006515, 925.88301025051328, 926.29925985714306, 930.11693426973625, 930.5761150066013, 931.49553890683035, 931.87563171322142, 932.40370336335718, 941.94631686161108, 942.13798127356347, 943.18540093771219, 945.70428264036025, 945.88312493997148, 946.43772672425837, 948.02863154578779, 949.5740905387737, 950.04280106053091, 953.35840217594603, 953.59831178897548, 955.39547958318246, 956.85718861841917, 958.61919549873437, 959.47752402923334, 961.67121081664857, 967.83458457044651, 967.87866474826694, 969.18969928297963, 969.34647951319153, 969.87258814757718, 970.13909209872554, 971.04299443320099, 971.29092515270133, 972.18069941963051, 972.73671269067461, 972.82793251219209, 973.57954642685661, 973.9068227197929, 974.11382955467127, 974.26088050905958, 974.57131253951673, 974.77038898139074, 974.97499355596256, 976.55844502760021, 976.85377751279805, 978.36317453760205, 978.42058823749676, 978.4721333524999, 979.02797973794122, 981.58847006918791, 981.69081387177221, 982.31071770201527, 984.06632534983783, 985.85824790306947, 985.96515994460037, 986.10511981108903, 987.62710928996307, 987.74392271146667, 991.83488831963632, 993.29463905997522, 994.09578593320327, 994.53220565354843, 994.70114996017412, 995.64801141958253, 996.77610897992258, 998.34418772389915, 998.56523882371141, 998.61119665263993, 999.24653147775291, 999.88318130982191, 1000.2670859205941]),array([38.794040018839148, 39.690039540938805, 40.147083550475209, 40.538209705549264, 41.141826183468723, 42.075791711580159, 42.702138348046603, 43.532850303348091, 44.084730072045694, 44.200450590477729, 44.395275810366471, 44.592622969645724, 45.803900309480241, 46.290389820750953, 47.624185272294511, 48.171215296855486, 49.390044218098126, 49.444157235529985, 52.748399535894436, 54.355080070460708, 54.917267665544898, 55.121437957026245, 55.963452715171073, 56.458883282884138, 57.081663930880723, 57.61695433175953, 58.57279786416678, 59.466612153690846, 63.776451516836964, 65.009279266920203, 65.135708363723637, 65.360053337832753, 65.474200463050707, 65.850681715692872, 65.887100658794921, 70.269287776020846, 70.854954571481457, 72.194146487180461, 73.935007646843459, 74.200222710285715, 74.615912733336103, 75.065826881629832, 75.315664787404245, 77.451624063571032, 78.211175442640737, 79.050342210981881, 79.444309741675852, 79.797837790601534, 81.164514824036743, 82.268548184989641, 84.010520059526883, 84.766201762897126, 89.849406400316965, 89.892728118136802, 91.614297915193916, 92.542524307991584, 93.691112887859802, 93.937062825198694, 94.817329299114249, 95.819090506928987, 96.950752747501667, 97.266229223437932, 98.714290241138698, 98.862853453852438, 100.68336389212293, 103.00244223305526, 104.66914996556962, 109.16644345256313, 110.26125280591813, 111.09642978055143, 111.54918678897329, 111.59131359397364, 113.11912037604743, 114.23368816196317, 115.68629295012985, 116.49027340198252, 119.475516165409, 119.55767437270654, 120.75185218030387, 121.09350385962793, 121.26237731339546, 121.67006444099167, 122.49868921712464, 123.73914456995828, 124.66179205285813, 125.24323450419199, 126.21879765849894, 128.03759288143112, 128.69013849833794, 129.16833693354113, 130.64595950030522, 131.65690865734075, 133.9482339222325, 134.42352182921633, 135.07801598616399, 135.75908336545496, 135.83084669908135, 135.87728913295632, 137.57753260348329, 138.13861514961644, 141.07071653812991, 142.40676990320995, 143.04219295320388, 144.6961383292718, 146.65523345095164, 148.04345481704857, 150.28094811316583, 152.86774439120029, 153.27574471223352, 153.42277544456044, 153.56353120989687, 153.88942586103238, 154.20251609556703, 155.47903903287977, 155.62201304162886, 155.68583910284667, 156.90906945742248, 159.07015447501601, 159.50979712116532, 159.61263189310725, 159.68345683518891, 160.6701318751816, 161.10830977779545, 162.31891128638944, 163.16763039881721, 163.60091081056328, 164.87980249684284, 165.22047050847718, 165.56825148171544, 165.60516823899044, 165.78297707407478, 167.97942235817976, 168.52219558613973, 171.55948650439839, 171.85639909613482, 172.2005587961217, 172.90901665007001, 175.94792206064375, 176.61302652659597, 178.62001170230917, 180.19678533765816, 181.67409128057622, 182.55556190617958, 184.04585774029417, 185.19410487253259, 186.58418025691725, 189.12425642426837, 192.09400707617769, 194.31454015875747, 194.58687370467774, 194.92679574512334, 195.30525264455983, 195.5259880773979, 197.91208025188257, 199.63131525385884, 200.17701261821793, 201.30411883915846, 201.58524920821699, 201.89374555708011, 203.60375331405817, 205.81224219654067, 206.24103260811714, 207.86640741389877, 210.26493038889464, 214.59167963192797, 214.64012224888489, 214.91879029220914, 215.51297226330351, 215.60839343922081, 215.65721884972265, 219.11961997898845, 219.18338328613015, 219.85730343488137, 220.8696704013195, 222.448161083076, 223.98519715890546, 228.50723181695741, 229.5843175581725, 233.53958317734282, 233.96406877554205, 234.27602702671919, 235.42006399195407, 235.52767545049315, 235.98742095455322, 236.81309748388639, 237.03532466768084, 238.95854619559336, 239.3202815542773, 240.56269471749573, 240.67655973630247, 240.85748077874575, 240.88191340746678, 242.31222904699948, 245.57580340484341, 245.81869441865729, 247.41175517833747, 247.70837493163475, 248.52449236373354, 252.12960666855204, 252.2438035339969, 252.32938429896242, 254.78230325753123, 254.93618461926019, 255.3374923524654, 256.62119852148578, 262.35853591308648, 262.40567349274386, 263.10146223601106, 266.03706824444055, 266.58934876446875, 267.54053444021997, 267.56342706865803, 268.77671958656646, 269.08729561383143, 269.79706489924098, 271.14533786331702, 273.65616010435059, 277.5008508670719, 277.65888015503646, 279.79204864380347, 280.51775604632286, 281.23713562463297, 282.09947726441777, 282.47072283064529, 282.73998623965122, 283.18201033815205, 283.26328963921736, 284.47579371933045, 284.83321578686815, 286.41326426663778, 286.80969634320599, 287.1638330927625, 290.43384355285752, 290.95523294095352, 291.07195694593759, 294.07951224272114, 295.26808936090879, 295.5320059201037, 296.82407071891924, 299.21499732053826, 299.38116003527432, 300.11904682582752, 301.04784009569926, 301.42101523371923, 301.53240105128407, 301.78648183138381, 302.72185292531418, 303.77629583964404, 304.56581966090909, 305.20941273299485, 307.16721454743976, 308.89844679416547, 309.12782116164334, 309.16205396668994, 311.39680253940332, 311.5337823460564, 311.95217849883784, 314.12538464945692, 315.56574249000204, 316.1092483325636, 316.64262574313221, 317.14797732210542, 318.59794185166476, 318.75431329966727, 319.69894102719968, 320.83115927556014, 321.14641039551373, 321.40795672495511, 321.99174899523945, 322.03425733909535, 323.92948772083588, 323.98733749838243, 324.1849481200228, 324.90122840722483, 324.94944001957009, 326.55070703031203, 327.31190919193546, 327.58513967648793, 328.13840003860588, 329.29242401903781, 330.20930702718925, 330.8896760200011, 331.07272204806367, 331.69384833893241, 332.90950927269625, 332.96586671488041, 333.62306365220797, 335.65772704268801, 336.20207195097686, 336.94142596507129, 339.79352026042937, 340.28559766055548, 341.05126126115971, 342.92350807916694, 343.04601073536963, 345.30369860981767, 345.90986280267333, 347.50677388412942, 347.9094620133896, 350.53144824042238, 354.63050104183378, 355.1188050038358, 355.73166860561457, 356.38326795154097, 356.45831733240163, 357.13187048653111, 357.924860226433, 358.12058441087265, 360.9433270757857, 362.10093207328021, 362.72987449807789, 363.23565490854065, 364.84620757653641, 366.68210410330619, 369.30042667202287, 371.80425711567892, 372.96715883579117, 375.41456701426216, 376.44597882678255, 376.708496778457, 376.81506234965883, 377.24798468634106, 377.45023343395252, 377.89750846895566, 378.39980105640188, 380.35083673136927, 380.65763900360525, 382.56674842974223, 383.02138805130295, 383.05501241085869, 383.79331804166566, 386.34640244756565, 389.84657491383365, 390.75407280302011, 391.66323774847626, 392.3232183683117, 392.73909637618391, 392.89938116664615, 393.11087131798797, 393.57230947746598, 395.11034772989206, 395.75631699847577, 395.86816762910172, 398.19114564851276, 398.69647544499378, 399.35854045556817, 399.59998088349391, 400.43360212257522, 400.54253507813439, 403.35897017539708, 405.32429786408721, 405.46919396832743, 407.94233146985971, 409.11282597728103, 411.30765660298738, 412.55366878026194, 412.64055758428185, 417.23056489453, 418.2019791595838, 418.69525354802579, 419.62973229158268, 421.1433868653375, 423.09754489423318, 424.22259443063501, 425.30036566432136, 426.71002588781545, 427.19257980326989, 427.50306447601776, 429.16050458999075, 429.42174234375369, 431.34899080719754, 431.69238884091192, 431.82934895341072, 434.68306586047413, 434.95994370714902, 435.91095796304353, 436.39301407010532, 436.70867362806155, 437.74807033337919, 438.99655649675441, 440.82167265542029, 441.71319270482087, 444.06196252389765, 446.72925156884043, 447.22187028207986, 448.48239265217063, 449.73568926027809, 449.77264988458916, 450.00860277755538, 450.78005064577758, 452.88740266596858, 453.85253882911502, 454.97906082108466, 455.35027608084658, 457.11978494523294, 458.40007778614228, 458.8149710801539, 461.02962492343084, 462.42596318701027, 463.23566471091215, 465.30502902830568, 465.53755006140358, 465.68636296827646, 466.86868547205296, 467.5128414735666, 467.58267874616649, 468.11276305509915, 469.49603209107187, 469.72889010782893, 469.84153838522019, 470.95296393489332, 471.65201875988663, 472.26081348845673, 473.46146997726828, 476.80056849217806, 479.56845203103768, 479.72150431528308, 479.90064027732166, 480.39940661505545, 481.2890626064945, 481.92454971871723, 483.5701386033669, 488.12229888534409, 488.44854406475793, 490.27912726424222, 491.21892356934961, 493.07763840785913, 493.57159976541288, 495.9635817042236, 496.00198609744967, 496.2977749800524, 497.81787077493146, 497.90608787453988, 498.04365113550057, 498.72535650177349, 499.14130872903132, 499.33111086456177, 499.90918879237552, 499.98419003487442, 500.98872135563107, 501.82984713788341, 502.43908164675435, 502.62387055041478, 504.13076440003755, 504.70808665523145, 507.10787957032949, 507.90210135067315, 508.70750662928458, 509.36900966238113, 509.5044329890967, 509.75246329230043, 509.83310961632282, 510.61616521416482, 512.33477496158105, 513.31945011738014, 513.88490697909288, 516.96529691371279, 517.10550326843884, 519.00867114645303, 519.48144137977556, 520.61144875677644, 520.66233265548385, 521.64529382518447, 522.5997151074655, 524.49875500120299, 524.81145983740805, 525.55693199004781, 526.79969269491698, 528.26548317806328, 528.39073457961786, 529.35512174874509, 529.74623645793008, 530.25729889870615, 531.30119309536462, 533.38697925840211, 533.48440330624726, 534.5148323691127, 534.98191619113265, 536.15138055156865, 536.35172922410095, 536.68836878366722, 537.63894629097047, 537.76719627153341, 538.02866063660292, 541.18807169128183, 541.86563989262027, 543.47335111650739, 544.66422532501133, 545.31051990067442, 546.57761160621305, 546.85946618467983, 547.52496553608512, 549.07307757558851, 549.80903149696371, 550.7780714861085, 551.55057236682239, 553.42427713936354, 553.67634158741726, 554.43813608030121, 556.0069122027362, 557.19218204547974, 559.20020520482228, 562.06895691672617, 562.2373092110638, 562.29356550005912, 562.4597773707527, 563.41522849520481, 563.52438159247527, 566.29975969101724, 566.65212446881844, 567.11927344432968, 567.64667882124195, 567.73151050870877, 568.0013379111972, 568.09127843794147, 570.64543344184301, 571.20245754401674, 571.33664980434253, 571.55716733788427, 571.77348743820869, 572.15234028796795, 572.83058000918084, 573.77266010934682, 574.96944086025132, 577.51164386372307, 577.73885387563018, 578.55078571363106, 579.94112660532312, 580.76825591702902, 582.25864863438255, 582.86167307685355, 582.91920408223143, 582.97178087215457, 583.16678941217901, 583.26379392944375, 587.53438023499564, 587.60550540297265, 587.79527760112194, 589.14197338596659, 590.30778967661593, 591.19662686693744, 591.66867174985919, 591.86629159496692, 592.01674757045703, 593.49447664150387, 594.56535277339708, 595.61847251477423, 596.13749778558588, 596.67413362400748, 599.96940399891241, 600.06835175185392, 600.36121526258887, 600.55840120532366, 600.68256360336238, 602.51370553662105, 603.26679719296806, 604.11157420207201, 604.31267546075446, 604.78192008895189, 604.87053957472881, 606.55143419191336, 606.60139522577629, 607.66731839899114, 608.83285954945939, 609.69807750093923, 612.03146687710046, 612.11305596241118, 616.62962219702649, 616.90759443112302, 617.48355593232054, 617.92033560364791, 618.66339321246153, 619.04328835566696, 619.77725402817259, 619.82051642523413, 620.00080424827559, 620.54354486645423, 620.7346859185227, 621.02167257903943, 621.5224127885283, 622.67393305533494, 623.99254418732573, 625.38590070664384, 626.13904989747789, 626.19613097340323, 628.18994031226464, 629.47659250182585, 630.01138206061353, 630.56080264009927, 630.64953212942225, 632.51021896990312, 634.22585529552691, 634.69068318670202, 634.79039110975407, 635.54099271612085, 635.77730838286391, 637.09334276640925, 637.46039869208698, 637.53434911422517, 638.04174616874388, 640.16684947631131, 640.94234005558178, 641.12549450159247, 642.28046059971541, 643.49976515158312, 644.39382055670512, 645.14280019404271, 645.30998023075529, 646.15483842211199, 646.9732228309133, 648.39765625495011, 653.8074321575956, 654.66757720234034, 657.88571206471738, 659.11928603115996, 659.99883681691483, 660.08962499772701, 660.53133128888021, 660.74663736536354, 663.97596242055727, 665.07366462469952, 665.80656252192887, 666.14430007681187, 666.28599422107993, 666.83488655500651, 666.97345315653888, 667.83523769234534, 668.5950957308836, 668.83611957736969, 669.88119313488619, 671.83374267723855, 672.06465967187751, 673.933159493434, 674.05812405240897, 674.24460883340191, 676.40955130944917, 676.49910627560234, 677.27368175090191, 679.24592770671802, 682.33005094156078, 682.92419219089254, 683.67370232040798, 684.29554377179795, 684.71619830605584, 684.80578388267213, 685.62880616870711, 689.63765048410801, 690.88104946822591, 691.4131247181424, 692.38752221524157, 692.89697873637499, 695.48734335573408, 696.36935529900722, 697.64258807889132, 702.77608584241386, 703.23093082583728, 703.6685823210596, 703.71472410969511, 705.44466090622223, 707.04461651932058, 707.89449419591074, 708.17998024797623, 710.11058892380561, 714.14241411702392, 716.75898153378319, 717.53865309238256, 719.66909617123133, 720.7861728835652, 721.20788342002209, 721.2560164279846, 722.53054170715609, 726.64350531069499, 727.11679841944522, 727.71882768407772, 728.05393206912424, 729.17534572287855, 731.91187623157498, 732.34832609210878, 734.31924717644597, 736.17276961894254, 737.85901166326062, 739.43194207762883, 739.55002220905726, 741.23928490729975, 741.31211246920088, 742.39281795759916, 743.50289550128048, 745.83057579951901, 746.01818239889064, 747.15545779891079, 747.64903965508825, 748.33554198970035, 748.52024487197059, 749.67617290986755, 749.93544283567235, 750.33221417386903, 751.05855862786871, 752.29235017004657, 754.42117335559431, 755.05243567405932, 756.34248356559931, 760.02365255424218, 762.45671278077543, 762.50199707006254, 764.28770127968403, 764.85581241642308, 767.08556863072397, 767.67734901848553, 769.51226262371415, 769.57300519236401, 770.40405531079432, 770.64757770285905, 772.43091050210967, 772.66722179668898, 772.80372797610198, 773.81732909269351, 775.16047544848959, 775.36390763887664, 776.37840540752791, 778.21868223403249, 778.52990857858595, 778.82395644986832, 780.12369729992031, 784.48418438795693, 786.92405997719356, 786.96010813271869, 787.18517246062447, 787.40953880540928, 787.4921262421849, 787.6291469981486, 788.2779896138893, 789.96011139651489, 790.83230640797535, 790.88623527823711, 791.71840705874649, 791.82267975774232, 792.30328757641064, 792.58095109697717, 794.40967071574403, 794.54463118001104, 794.995969391416, 795.50843002939905, 797.29646908212078, 799.03131159706516, 799.43841515787881, 802.39650409607634, 803.4866856013989, 804.76692273351694, 804.94835823884466, 805.21108906197833, 805.23327244954964, 806.07785665637607, 806.71388408630639, 806.90021900796364, 809.64202628542444, 810.13531225139002, 810.67009965880197, 812.39679820843355, 812.74264693916678, 812.87059074126716, 813.70762450707355, 814.49257907973981, 815.53070638804115, 816.1418616403347, 816.83076563993507, 819.2872066269307, 820.32911502646527, 822.97360534873587, 823.54801019819604, 824.38927108299822, 825.05716879336603, 825.12542561332691, 825.22331446440239, 825.91909114873886, 826.06638756014706, 826.1864961462536, 826.95437276115581, 827.63316402904627, 828.20264776153874, 830.5064024364566, 832.29277024669193, 832.65717924059697, 832.80205021839106, 833.14087509060346, 833.24665834224004, 834.19525086215936, 834.63474090180546, 836.62326058597205, 836.80781693369158, 838.37570579440228, 838.52918895027415, 838.69493817394266, 841.13660560033964, 841.62081648199046, 841.65298022154798, 842.05266427057506, 842.17386972566942, 845.36750763986413, 845.42010992671726, 846.16433227487653, 846.43978436515033, 849.08200190104105, 850.98389506055764, 851.32180266912883, 853.73893774678788, 855.17574473607783, 855.51623032979785, 857.7687743810443, 857.80528580192333, 858.2341497434727, 859.64395461932327, 859.8734262049984, 861.07138055302914, 862.20623217981984, 862.98479848142244, 863.18365045108828, 863.66562589855857, 866.60754954085996, 868.05781981163284, 869.61652026179252, 870.29555571688445, 871.7367171260895, 875.26888754268623, 875.91038719511414, 876.19409339530023, 878.67715509351149, 881.36946999064799, 882.78590595600224, 884.02918090164167, 885.13663057866529, 888.05798247833707, 888.33598550533247, 892.15646895805389, 892.6682172123069, 895.40919621351986, 899.53247650639184, 902.7951721130687, 904.21485832491408, 904.80594997563685, 905.07267472543799, 906.31907022223425, 906.65826103624408, 907.70093685492282, 908.02487936001546, 908.68045799246079, 910.89815330640397, 911.44690915304932, 911.9506491746165, 912.5598812196323, 912.713891709108, 912.75101511677553, 913.36276989727332, 913.9017853035333, 916.14838869935431, 916.98748477852041, 917.46754675289367, 918.26789397186462, 918.67210885664497, 918.84609176212371, 919.1162711237713, 920.06582040812862, 920.3415092594721, 920.37517212734349, 920.5852718253293, 922.34228892429462, 922.76134179866244, 926.29681302045685, 926.65403446691494, 927.94678456473969, 928.70841938325805, 929.87022559265608, 933.45138445467376, 934.16634665533331, 934.22501742734926, 935.62324020679296, 936.27546061321596, 936.85533108855543, 937.11347336322433, 937.42772684096315, 938.15510662411009, 941.04485161039861, 941.4577775279663, 941.55015168408647, 944.26815984619225, 945.64121354579788, 946.08464253644092, 946.14953065748091, 946.69556362534979, 948.58463886524578, 949.4475294240624, 950.01550272975669, 950.6078185342667, 951.06640478925294, 952.19526753771754, 954.42951986152468, 954.54942946949143, 955.17301137393918, 957.41952376619076, 960.0673924343389, 960.79693044852252, 962.48651252123443, 963.849450872783, 964.42143410191341, 966.12036034527864, 966.236746771188, 967.41714250904909, 968.48072817233333, 971.83351512076058, 971.94664793523464, 972.35790579829677, 972.98246282735249, 973.74734873414673, 973.85424993547247, 975.1366032892571, 975.9694319668514, 979.56415144780908, 979.79278465725724, 980.11483950413378, 980.73273257055064, 983.66581696164167, 984.54508647552586, 984.96417056524933, 986.18540147248302, 987.16703833573195, 988.16828612755603, 988.19750992684328, 988.27425602711162, 989.90733775073375, 991.08401293156396, 991.49588535562089, 991.57819806561452, 991.84812177324955, 992.28561293560301, 992.63443982301112, 992.76131626967378, 993.34937262770495, 994.64264999597754, 995.9092468501201, 996.05521830480075, 996.19321726294527, 997.8695892629288, 1000.0023377356298]),array([93.987764100438881, 94.987274963089291, 96.28109742657854, 98.666905163311242, 98.696875074518218, 98.792664665600967, 98.882117188743592, 99.523651076515065, 100.62617027432582, 100.79453188420547, 100.99958394804253, 101.21698958131343, 101.55011338012982, 102.85913118355501, 103.51632010123957, 104.6149694970337, 105.36693383614153, 106.96354749859387, 109.42050979657607, 110.06570436101394, 110.34009117095259, 111.80762604771121, 112.58113940425973, 113.14825416586633, 115.98346705783075, 116.94040113168288, 117.45516140677721, 117.57173300414961, 117.66438406218604, 117.92444049654951, 118.37529675147344, 119.99292641857389, 120.28245438311625, 120.7616962425319, 122.49193184498316, 123.16420705112402, 123.60353792348472, 124.83541975521577, 127.05782075811169, 127.88117434769791, 129.48438558991549, 130.95422027266838, 131.62891602185965, 132.53468524525852, 133.15440239163689, 133.82213171971944, 134.31334942748279, 134.76735695256997, 135.61876116862439, 136.40908467566553, 137.13796199046652, 137.21321307134116, 138.83708442793258, 139.58706873439684, 139.98657106190828, 140.35687943994563, 141.02295924829369, 141.33360713489185, 141.46909896336351, 142.2601365159779, 143.30280119850894, 143.45915950833427, 143.80628827927569, 146.58569340738975, 146.7901623874223, 149.90970796911191, 150.76156412537827, 151.64553789519238, 151.85785628720797, 152.30237875191474, 152.52429930205713, 153.35352061613824, 154.77747231518737, 155.70244798655565, 157.99347076448791, 158.25059855249066, 158.52191657143968, 160.29109616659181, 161.40879594771687, 162.31334387612071, 162.489145586989, 164.0241001106117, 164.2390650870434, 164.58913490020757, 165.56155767115519, 166.37540911999301, 169.90073076234683, 171.45252769818023, 172.13003973055351, 172.73265765611552, 173.14897632980282, 175.37448355470113, 176.79430819994349, 178.87567235040365, 179.37438824451434, 180.49833127240441, 180.79057763332443, 184.42244238356295, 186.53243691783786, 186.57047079039052, 188.27041765025746, 189.29949490025149, 190.5394530955484, 192.04109511923502, 192.06794147205721, 194.31809992305671, 196.1653411940394, 196.33010418829051, 197.54546568412201, 198.71644007889103, 198.95415121655222, 199.2485934954918, 200.15230346619575, 200.63306188566153, 201.87541480384482, 202.51513251322518, 203.35751736007848, 203.69450229734957, 203.81459554504056, 204.17765440578009, 204.72359908519198, 205.39977858218782, 205.76806867833417, 206.72686130063295, 208.18961814741485, 209.83056125420208, 210.54911651604849, 210.8314350088925, 213.46301535123735, 214.29372791922046, 214.71389718856787, 214.78788421498436, 217.81557654937473, 218.5956894336409, 220.3658739187203, 222.29872602477107, 222.38089794999217, 223.54479281637069, 226.21419040396077, 226.47826999351676, 226.59188607721759, 228.96331444377185, 229.9817554796831, 230.18484538409561, 231.19541997113168, 232.62499687307221, 232.88702813592525, 233.45644940347566, 233.86957256169515, 234.38476621026757, 237.19913621703995, 237.52706181732191, 238.76822883221686, 239.51306176569074, 241.61461715620715, 242.03413043525262, 242.45139540804618, 246.36982024756384, 246.68680688470053, 246.90143043698319, 247.27494276344231, 247.29604232909361, 248.61723579670416, 249.37820314282371, 251.10067654381677, 251.91163451772826, 252.97597383454604, 253.21336380422741, 253.62318341669899, 253.90266304502347, 254.37536934523956, 257.84940277561213, 261.80159040180428, 262.20200019053397, 262.2758396182391, 264.663601842383, 265.10784236872513, 265.81279301369466, 266.30461649893516, 267.72241850186867, 272.64670220497953, 272.88162874511772, 273.48570703067207, 273.97034638820924, 276.65392784872489, 277.0365555913977, 277.34958458771041, 278.44496501463937, 278.94677683314171, 279.5057062223471, 281.28203523804137, 282.2865004951887, 283.75853742763172, 284.32969263884183, 285.8420598824564, 286.28310086318311, 286.93175724256872, 286.95433049582323, 288.02059539117147, 288.07087806707403, 288.31729345864858, 288.89239900751602, 290.06664344715057, 290.22223181852161, 290.51436191290065, 292.77506796232541, 293.62357585263544, 294.80539831264662, 294.99614650442788, 296.60487173622062, 298.21858105723652, 298.32145530494819, 299.61203283319281, 300.69920615103024, 301.67392188838357, 302.40130139844945, 302.95328519648427, 303.78044788592547, 305.45018751611536, 305.6261415290316, 306.01924751576917, 306.35025292672333, 306.55228280154125, 309.67567971777754, 311.273324224227, 311.47429369631357, 312.11836914338528, 312.75437737502557, 313.29798113941558, 314.45459068668663, 317.32850451690103, 317.40960312191771, 318.89124542740336, 320.86316223864782, 320.93054139301711, 321.14985464827026, 321.57284108279913, 323.34886945030797, 323.47811686462489, 327.15187229230838, 327.7305520468189, 331.66036601712716, 332.1386631431605, 332.60415836770659, 332.64285374091651, 334.63945702394255, 334.80778450420894, 336.02075694038706, 336.19065122220991, 336.81235271905678, 337.02151916942029, 337.30191669596832, 337.36251419013394, 340.22660576510287, 340.38303705715163, 340.67145982970425, 340.81936831467863, 341.2036163105023, 342.20145886722878, 342.28897407380231, 342.86324591287189, 343.00845325756649, 343.41590032520389, 344.88384880570356, 346.14496399733031, 346.84634738873234, 347.1924767363962, 348.18642074058897, 349.28828959805043, 350.29179689195502, 351.76126946207637, 352.62145334539508, 353.15078754058067, 353.18198348588157, 353.29403021214375, 353.62056959555355, 357.06274341484641, 357.17996118506551, 358.36387648520656, 358.46946713937768, 360.27072687155356, 362.66429935192798, 362.83747978732714, 363.36796095867106, 366.48685480083378, 367.12188322228013, 370.0266809227881, 370.20766914509716, 374.60530950424396, 375.07329893178888, 376.31262270206918, 376.78878399520676, 377.36069389692682, 377.89902108665501, 379.52536485138205, 379.8665404013517, 380.74359734122214, 380.95814420320397, 381.46031168859429, 381.65979008145308, 382.56704580309798, 382.80812742594753, 383.53569158400097, 385.86917729325302, 387.16157817745852, 389.53908006649397, 390.53603351001635, 390.88475380007827, 391.42193177280996, 391.5165866392249, 392.37023283893825, 393.62950438065462, 394.26097369363521, 395.12444360348991, 395.46098808192312, 395.50515394441584, 396.17377715033888, 397.6745923393845, 398.03516008711233, 398.48675296868493, 398.69628900023804, 400.1342289115135, 400.56963438760692, 402.23459615798402, 403.16090995318069, 403.78238248321281, 404.16882948367709, 405.03460447789223, 405.58451485445232, 405.7517780089093, 406.62228545181347, 407.17303444047093, 407.24828811700206, 407.32617981161638, 408.26601230691682, 408.69814762367696, 409.04981850059448, 410.00441384919611, 410.48065559374498, 411.79984730463894, 412.02847961793992, 414.96260569456393, 416.63909397927898, 417.66512497906024, 418.92369103583508, 420.43191478754522, 420.88006856095456, 425.39983833884713, 427.07938104110815, 427.71194123278883, 428.6112614303097, 429.36037365441507, 429.48060003983812, 430.95294364425706, 433.09662052663543, 433.29138062120148, 433.56750713671585, 433.99441189843998, 435.69851726414169, 441.98041220774348, 442.11549791207301, 442.4966928941414, 442.59276532052672, 442.73602403757388, 442.99283563839043, 445.16001880157415, 446.00407202373333, 446.0777553996154, 447.01587748969018, 447.57329400735131, 447.86317591545838, 448.39518267749656, 449.68750475086335, 451.08694625476227, 451.93662161042215, 453.8623933747262, 454.55804944435619, 454.68579101704142, 456.16941243342023, 458.48270689935043, 458.57806661294831, 461.39508761052565, 463.78446752350612, 465.09718367438927, 465.68406569928288, 467.45051270556849, 468.02375960806091, 468.43945045916411, 469.7352758582291, 470.13047409767705, 471.7752639122686, 476.94282347778079, 477.04352072253852, 478.23441532249564, 478.84792031500092, 480.89049701703965, 482.07234601009617, 483.15675270031375, 485.40214935646657, 486.29251744945952, 488.56135931172514, 488.65643640549121, 489.36403777175042, 490.7936684752467, 491.03548663391615, 491.39712062152603, 491.98694507788053, 493.10085906139989, 493.16983507405376, 493.32973012722022, 494.28110298579952, 495.06787385416516, 499.1289361100757, 500.88571074039623, 501.05346526884892, 502.81485222985594, 503.89238877979966, 504.63293016598539, 504.88161092114052, 505.67601246095057, 507.20509332723395, 508.6309532974376, 509.40764110520257, 509.76493074637699, 509.91004619165773, 511.79894365484625, 512.45824404168889, 513.80225116309691, 513.99482803490923, 517.32446500639981, 518.28186897398518, 518.79716407624994, 519.7836566843348, 520.193801951718, 522.37426736344753, 523.72962565795467, 524.135511984544, 524.23504132124185, 525.22007076705688, 525.32633864589923, 527.52048239146291, 529.03783409879031, 529.62270665716221, 530.19848493653046, 531.46319168493426, 531.60229575618291, 533.69348932469131, 534.16177053138335, 534.63885347819553, 534.89251837120673, 535.30556569873943, 535.77746772344233, 536.10488246837849, 541.46183474340057, 542.36175712754198, 543.18799766714119, 543.47244098236786, 543.49955407514108, 544.51966927596675, 544.55430581348821, 545.10476883107344, 546.89209298494529, 547.17440340936946, 549.95198540059448, 550.54570664626715, 550.89965276295447, 550.95575305852776, 550.98665882981186, 553.3023577046157, 556.6941746567652, 558.30008996225979, 558.68391705100294, 558.78473558332939, 560.6455692426315, 562.47450875651043, 565.0474521506568, 566.02216042344844, 567.38507371931314, 567.53266466883122, 570.69238824448053, 571.77210843057799, 572.83533884482881, 574.01218067263869, 576.91767209162413, 577.35602438884018, 580.7620986760046, 581.1714320453774, 582.30711723594538, 583.37719620877931, 584.91590631592555, 585.20161196534241, 585.91388247118425, 585.96351408344003, 586.0715266679706, 586.34897168087412, 586.55573296026421, 587.90607672818112, 588.55747676081319, 590.98422490626228, 594.37866780974684, 595.26189705763841, 595.47277135844354, 596.9615654173241, 598.18450961332667, 598.32600312185525, 600.08975156721783, 601.08116527827622, 601.57913025228936, 601.72963136157148, 601.87619324807747, 603.56852834281995, 604.23170437731392, 605.58142649751608, 605.76324869591531, 606.31450810763101, 606.51256504907553, 607.70776212956844, 610.9133415516651, 611.01006813078413, 612.35418645267953, 612.46551107382641, 612.98779875122295, 613.16935428867237, 613.61974846391729, 613.80181376402197, 614.3608656742756, 614.45931256082542, 614.49510258056807, 615.65163579864986, 616.47896703419099, 617.07293236673718, 617.57118304833261, 617.59654397997394, 619.15929704601467, 619.76359564600898, 621.20727746811849, 624.63391958507418, 625.07501404696211, 628.3742900359249, 629.33937805601181, 631.51517246972071, 632.70866966963456, 632.86003468820388, 633.05703123831211, 633.34062575448058, 634.51637761774407, 634.82059489313963, 636.09884770468716, 638.86236881118657, 640.25505788096643, 641.74858365153068, 642.7434179796262, 644.05919750110968, 644.32202046796522, 645.6514489963605, 645.96042117301897, 646.62432215393267, 646.83699345134789, 647.99777429951666, 650.03313072943172, 650.90712838636739, 651.46996979293135, 652.07059055376396, 652.75952995696332, 653.71214256378971, 654.10475823458717, 654.98898275494616, 655.28980601083742, 655.99886243800665, 656.16232970861608, 657.07639976286305, 657.73236102810256, 659.68675309959872, 660.57348662560446, 661.98078266036873, 663.03650226144453, 663.58208676268907, 663.67553631321073, 664.02876288248683, 665.23820104635809, 665.99576288364324, 666.10947619366914, 666.97468013074047, 667.09331645964028, 668.34761498925604, 668.51279245002411, 671.10114242647478, 672.33143994735201, 672.733303615007, 673.77247819188983, 674.72291322036278, 675.38573286060796, 676.91428391103409, 680.69928632091001, 681.05891506977559, 681.2650876167969, 681.95098587626762, 685.65017966513869, 685.8243678322483, 685.95821908477217, 686.89799338443515, 687.88010238376921, 690.53946865176283, 691.6090124547062, 692.101230707539, 693.43518198153356, 695.16980354095597, 697.72082126614328, 698.33909990799305, 699.40049901299074, 699.94484200932891, 700.49733480733846, 700.91919456161588, 701.68248665904548, 701.71800139298023, 703.51036719963633, 704.79336135931874, 704.90483710148453, 705.36802495064478, 705.42993492842254, 708.0179247078255, 708.36379127871191, 709.39722122850344, 710.8741738929765, 712.26823947208493, 714.83818308034688, 715.81018399837558, 717.01313692782946, 718.55784659276151, 720.9414558540052, 722.27674775794151, 722.94344736362007, 723.902974304449, 725.6733910046122, 725.83887178453995, 728.85980003474288, 729.22641658089913, 732.51766246348154, 732.55224946819374, 733.97531031719075, 734.57530078422496, 735.46213531962223, 736.01641302717167, 736.43184556111351, 737.0981175946448, 738.33955262011398, 739.46861957162491, 739.79285792459063, 741.15015342319793, 741.28359623760457, 741.85454093030228, 742.05316805072368, 743.57480898855943, 743.66408506794528, 743.74789911600249, 744.77254205646739, 746.137498520441, 746.90560623052147, 747.24979888403925, 747.68073950496421, 748.65846047902539, 750.12788522211815, 752.80597777794651, 755.06799960205103, 755.37564444101463, 755.42967827979351, 756.85796747994539, 758.21504345963194, 758.53671670863059, 760.32297842172602, 760.83788560195944, 761.47791203950726, 763.68906175281677, 764.54850592337448, 764.74185093308677, 765.42646500403544, 765.8068780769579, 765.93199673364688, 766.61487332774425, 766.66247580192623, 766.79148987601877, 768.24971598378977, 770.73143956541185, 771.18164760768559, 771.3488922584861, 771.79827777625724, 771.94986354290393, 771.98897911559322, 772.83892869244607, 774.18737743655356, 775.14239302757346, 775.28250065457701, 776.34857714638292, 777.57755935721275, 778.00418823598011, 778.30215685565963, 778.40431750407276, 778.50036882248583, 779.35896866918563, 780.84812824813457, 781.09113043250306, 782.94999849353178, 783.28879520677356, 785.1887707610548, 785.49808215590554, 788.54611185885574, 789.32284146304664, 792.33912342344399, 794.24681689767669, 795.38078082159586, 795.62859590700282, 796.2385759898865, 796.56234716279437, 796.87531874470835, 797.07205009297957, 797.90533903921357, 797.97983504083288, 799.87706846908577, 800.2759979990085, 801.40622960163375, 803.34157121723899, 804.51083725822957, 805.02105990736084, 805.39144392592664, 805.78775774307519, 805.89360035497918, 806.74476670861065, 807.31612303922236, 807.69187037814027, 808.5176340414007, 810.69610822197399, 810.7349231237738, 815.42145104267092, 819.19642165106302, 819.36210922878649, 819.63484414262086, 820.71578195656059, 822.22797991834682, 824.60713865621847, 825.40143882187317, 827.10039330807683, 828.78369847621457, 829.18103479737226, 829.37633448649888, 832.19300202560726, 832.52773624603151, 833.27264448680035, 834.04806256999598, 834.51870054488234, 837.06170023233096, 837.60144310916303, 838.08301987530706, 839.52935311385454, 839.65845704580499, 841.83083362902789, 842.03909449944251, 843.13176125209998, 844.42534208027848, 844.46131959344154, 847.06193322919296, 847.69701878304227, 847.90080948061075, 848.20801200006565, 850.13519768110336, 852.86894041412313, 853.72466648346347, 854.18977895890544, 854.32457250434993, 854.61350144457128, 854.64297500332486, 855.06563450350427, 855.30306986067069, 855.44448718042747, 856.32004335433987, 856.44999577415228, 858.0207827204589, 858.24344989465783, 859.84058689502615, 860.00851441375517, 861.85261554440251, 862.21702573341372, 862.45029605910929, 864.51395791346283, 866.04297027019061, 867.64562753467419, 867.93683672470956, 868.08217555307908, 868.80863547554611, 870.37652866946758, 871.09927682976434, 871.15024216794268, 873.47473759673233, 874.29725399530014, 874.98826568325262, 876.65745258404706, 877.06919825043963, 877.40639352494486, 877.5368515769718, 878.00276347452484, 878.31053898628181, 878.91609323604439, 879.88674581472981, 882.60131944000693, 886.03776145654774, 887.87232142925882, 888.76849432467918, 888.92626267519472, 892.76474107148363, 893.50727826400623, 893.62570197077207, 893.92094004133139, 894.52290318342466, 895.07074255827388, 895.76781059753091, 895.84901638490498, 896.00537401693441, 896.35658052283543, 896.9298778667868, 898.492234730581, 899.37540610355984, 900.79513190132843, 900.83274959391076, 900.92736414054082, 901.43206021226786, 901.81670769482821, 901.8406716821122, 904.39435045499636, 904.49765953827807, 905.05427334853732, 905.42549596964284, 905.63946785520193, 907.19706755624679, 907.47752457576257, 908.24380210707284, 908.77473855687788, 913.06412058588569, 913.46716353356146, 915.36048044509994, 915.62585938664176, 916.6558070132794, 917.48395913493823, 917.93630202197892, 917.9810977158387, 918.2164256076926, 919.39361212608253, 920.23638735910185, 922.05667525548961, 922.24867207360398, 922.55018687804125, 922.78323471016461, 922.87033438087383, 924.07347719876509, 926.00956217816247, 927.22709119506828, 927.7561884038829, 928.75080177929851, 930.31070617324508, 930.78232821712641, 934.58716148413248, 934.76181693079627, 934.83328473308654, 935.68863740596407, 935.71086673779018, 935.81253331396942, 938.07592258877423, 943.98463992279335, 945.71189194954729, 946.25707418209424, 948.15733763194214, 948.31169144937428, 949.08589213394293, 950.00830754782601, 951.80192252791016, 953.06546417599975, 955.2802188162392, 955.72916601766792, 956.46553722410874, 957.65956514891013, 960.65732824880104, 961.03423229334362, 964.16719204174774, 964.56729490154703, 966.49912573638562, 966.65324965272112, 967.62610988806989, 971.45961897602945, 972.38032117641774, 974.03585060609134, 974.35773803202778, 980.50980183962395, 981.15929938424392, 981.46499222375303, 984.07474468944122, 984.85334674378169, 984.93196168505949, 985.00121796123267, 985.62667822583978, 987.14683745655566, 987.28704451871931, 988.51969394365301, 992.33864796259604, 994.63115320350801, 994.76831827799208, 996.22714651858917, 997.25384605153113, 997.96605691210755, 998.08290650627566, 999.09705177326202, 1001.2618736943833]),array([87.035006437510319, 87.764243377891091, 90.29240294558393, 90.382024370731628, 90.962497048042096, 93.924258854817893, 94.159309763724792, 94.475232114337771, 95.457511671240695, 95.928152091340223, 97.048527429704833, 97.218718029836083, 97.646316080036868, 99.224856426069735, 99.509798109250511, 103.76440053998499, 104.59097722859455, 105.81292836327313, 106.11433696144114, 106.99706833770126, 107.29694351950361, 107.40688540641744, 110.215002448001, 110.80931155310043, 112.98450068380809, 113.02852495822953, 113.98895730230463, 115.14712406232516, 115.41379302336435, 117.10380133390713, 118.16121223000928, 118.84333238297248, 120.46832824354111, 122.84713172172525, 123.61422596071964, 124.72512903215866, 125.78040407235108, 126.58961702411025, 126.82953408276497, 126.87904685704956, 127.97653151822333, 128.81621158873031, 129.94476900275345, 132.24477888731963, 135.73399353948818, 136.06407956259031, 136.40485367009111, 136.66728200267909, 141.16062748589363, 142.00378800323455, 142.73269775351022, 142.95110254746314, 143.06999151665761, 143.27392656770482, 144.11847356292105, 145.12579708519385, 145.32158651742756, 146.90476918827446, 147.28925568006431, 148.4160278831711, 150.54882556630818, 152.22756589054623, 152.48229424393529, 153.27242016832611, 154.80667333876377, 155.587485972211, 156.69738277946388, 157.35035523303387, 157.49118348309048, 158.05171501619358, 158.80378414831276, 158.89963771147606, 159.96909869670105, 161.07779150460928, 162.20425080244249, 164.39562234934152, 164.93305426731317, 165.20562351242589, 166.19478294877649, 166.92033525096096, 170.35463330707779, 171.61795029344785, 172.50817469047004, 172.79464568841584, 173.11605355889816, 175.39202846569384, 181.82450964903751, 184.26771736152375, 184.75839642038548, 184.81858165685949, 187.12178657087267, 187.47853583190476, 191.66534809565746, 192.15514305388649, 192.51166202699696, 192.84917412825979, 192.89576826724141, 194.17856380605934, 194.53483356869626, 195.29045825033594, 196.1705994594594, 196.27956033871985, 196.36879353044418, 197.28643203144418, 197.70947008291799, 197.87996184930475, 199.47747356646298, 199.89009596285149, 201.24294564085847, 201.58979489651122, 203.02410966415175, 203.07290866886913, 203.9832418063927, 204.62581773096079, 204.84374341832759, 205.11795782456815, 206.94874149874681, 207.96227511147407, 209.68810728632408, 211.67477631852148, 211.97244566007618, 213.12274745390428, 215.27801732523838, 215.78233810016263, 216.08674746277936, 218.43092327481224, 219.48873398852564, 219.85649624054642, 222.83653316665163, 222.96073829587013, 223.45440355151106, 223.74733241098872, 223.85341802289526, 224.00542780146833, 224.28212675825969, 224.33927410746418, 224.35989272893116, 225.26644449676547, 225.35447200842958, 225.82570199509544, 226.16528232135394, 226.74675836593804, 227.67284819720541, 227.90909197993656, 228.87182500501515, 229.23406184768592, 232.99684595539287, 233.41428696811749, 233.56459355178887, 233.97809312472609, 234.76748105350589, 235.65154559056253, 235.94169455668677, 236.07749840159951, 236.18074251652396, 236.91163518012794, 237.17155948624236, 238.1995980498337, 240.9669349454166, 241.28424750102999, 242.06099807454112, 242.34389135667999, 243.1607708023717, 243.20321888472625, 246.30814744422125, 250.86080378741107, 251.98413248701195, 252.48538030044006, 252.99940861366971, 253.13419175114751, 253.52533747924014, 254.23218209819129, 256.50570329200343, 258.40845090761263, 259.55460960580109, 260.36268343501939, 261.98691375177816, 262.94921591951464, 264.19527929066351, 264.36383133170386, 264.75482487441155, 264.84095184458988, 267.2771336653301, 268.92917724885717, 269.67616276932267, 270.0707067456234, 272.42532109850629, 273.93916272065098, 275.74945677613391, 275.90776379238241, 276.28907076569084, 278.04615148815941, 279.79039683454556, 281.60717119152793, 282.99870888998885, 283.66590360820521, 284.0559124511056, 284.28785269056652, 284.35110359716526, 286.24524512167727, 287.7861104828051, 287.81982612119748, 288.42792464869416, 290.75573191654416, 290.9430426449494, 291.09658488026713, 292.07997126803451, 292.29665909444924, 293.18465940202094, 293.53585076410161, 294.94122225513939, 295.09517379873222, 296.42581825597244, 296.49057182799731, 297.02668016191302, 298.84296839004372, 300.05516990932722, 300.16946896040224, 303.15052182418827, 303.98467668692683, 304.74690528168429, 306.5891443753884, 313.44721125562381, 314.12876336696621, 314.44043324057975, 314.48350891946285, 314.99436447887803, 316.16235993130152, 316.44110721192538, 316.7225811753587, 317.12840836455825, 317.56620991044571, 317.71571321908715, 318.14155679113384, 320.85211207942638, 322.38351182424481, 324.05804679467866, 324.41038094439864, 325.56289615888574, 326.30516562431791, 328.02768498422574, 328.10799721764204, 329.43365351064074, 331.57151111152729, 334.05890236898102, 338.03609045396172, 338.37762060274866, 339.42195635176563, 339.62106609804863, 342.24356877800022, 342.66718895029283, 344.07014440622714, 344.34166285407741, 344.83050703461106, 345.93532772648939, 346.80928241725388, 348.54111274798561, 351.03120059499281, 351.06013724376703, 351.12104824527972, 351.78433499420589, 351.96544411063007, 352.78503460998735, 355.56169499704419, 356.66147052027895, 357.02840673137683, 357.17475884778605, 357.98215541217337, 358.12816269359416, 359.99412569808601, 363.01889857900301, 363.08773387431398, 364.81556354102202, 366.39689079669182, 367.4649151231684, 368.5448925417839, 368.96832758820398, 369.18856327609478, 369.27592328762, 370.45611428432619, 370.8180952079299, 371.41707818653254, 371.69344919265058, 373.71006942139843, 373.82064198901213, 375.64310294679399, 376.68658377806469, 377.25583734148302, 378.46748119050955, 378.59853776345045, 379.52178585704121, 380.6877739775702, 380.91230015610563, 382.72128336470894, 385.17744736699495, 385.81790470842645, 386.44924728426855, 386.87741826593543, 386.98468242811828, 388.75470564294432, 389.04309489781923, 390.32856897312433, 390.76682481655024, 391.24075435510281, 391.70700551651282, 392.38694203308751, 392.46297978845485, 392.66709730219407, 393.87837409227524, 394.10085164503175, 394.1835058102144, 394.35767752970764, 396.32653424589819, 396.60213777493175, 399.640909007929, 400.05884011829806, 400.77212630731333, 401.16409399088832, 403.29966930886559, 403.38077559144335, 403.72959839043727, 403.94907642491978, 404.42160405386448, 405.36937869330097, 405.60365021139188, 406.36866974244663, 406.4082300908799, 408.78810752426062, 408.97299196489683, 409.67765319536085, 410.68344315542879, 411.67641377332916, 411.77420608387496, 412.88861718941536, 412.96772231210167, 413.12156501679016, 415.90539133573424, 417.87027708103761, 418.66264617391755, 421.49963352833015, 423.75396827853478, 425.58720479320897, 428.1861419718112, 428.59574478222521, 429.20363966596057, 430.66085773404501, 430.73964285964712, 435.62081425930762, 436.29092475201088, 436.99139906023868, 438.06008490378514, 438.9776769254641, 440.24415098527641, 441.64820435047477, 442.06330206819513, 444.98931509469418, 446.21522431699509, 446.4736305341018, 447.4427656804092, 447.65772395422891, 449.29859195902725, 450.61047789716878, 450.70082762313206, 451.21284571827886, 452.91476497769816, 453.59887732300609, 454.2969833672455, 456.07270643922453, 456.70885489221058, 456.89336879521312, 457.07273306353852, 457.8600390783381, 460.06765393700044, 461.84931964074156, 462.17519299382155, 462.43225944323103, 463.24579330340845, 465.28805060334372, 467.08832963610416, 468.89228541686003, 470.22897545965844, 471.73213645198717, 474.46426455747911, 474.6914587704847, 474.74233016767283, 475.323589378169, 476.07554993117407, 476.6302034153843, 478.05889221533795, 479.06577669252135, 480.03878354799139, 482.69430042478166, 484.03714863759888, 485.42644813038225, 487.5971253264226, 490.87304626292155, 492.44207289095766, 493.229815669022, 495.33078023211118, 498.08011370692657, 498.231379995976, 499.34920643391575, 501.70294402122528, 502.38182255186962, 502.44784144837024, 503.36244436654073, 503.95290305988908, 507.52526981639693, 507.97055247688883, 509.41148211103649, 509.43227371515383, 509.45276292131837, 511.44468375937902, 512.2335893177501, 514.31898638200994, 515.13889882322644, 516.19017253339462, 516.43024225052295, 519.42096573564027, 520.11878469541591, 520.29048783868211, 520.55939837230324, 520.64177688357256, 521.09785907748051, 521.79275632774898, 523.45307530018113, 524.57469122122052, 525.27471092123369, 525.46495120102031, 525.6830680264319, 526.87366322704247, 527.34441518150697, 530.59857510405311, 533.26865863518447, 534.5117684512087, 535.6495980927873, 536.44687801772056, 537.31755152829669, 538.21434915299028, 538.88617728981978, 539.1628585837118, 539.65743766126195, 543.62011083209518, 545.03090433998466, 545.59215006406123, 545.69228343262716, 545.79915081866204, 547.48230880767449, 548.23689940608722, 548.34124424090567, 548.91317561827964, 549.08902719831826, 549.50439186317556, 550.23771920265415, 551.50615241510218, 552.75611336016368, 554.76451126601251, 556.04955389491897, 556.08729336836404, 556.9337901777767, 557.01921861733251, 557.53007351014799, 557.67665568147402, 559.12989273704943, 560.42077615034793, 560.68394062795085, 561.31781898846521, 563.61690907830166, 563.75446077222398, 564.34874243559648, 566.00408186829588, 566.30544256553094, 568.41327468890324, 568.55519658546962, 569.58419579994791, 571.23059881231518, 572.42062641947996, 573.05944440090457, 576.39769726739576, 576.61176562114633, 577.58768167398932, 580.7234564505975, 581.29520270563478, 583.44965213853993, 584.18748072559231, 585.81041497309639, 588.24981624229463, 589.2212878840312, 590.10199515213594, 590.52597614893205, 592.37631322707853, 592.62853203854536, 592.82112461388476, 592.97004567335716, 594.10188529536299, 596.42731596798637, 596.85618467987319, 597.00291239784872, 598.32751930701897, 600.04545945925872, 600.61841480912847, 602.34083628738506, 603.79020574956598, 604.34936102630809, 604.98772928160088, 608.86690585797635, 609.31623626898715, 610.3203235500456, 612.38074699636957, 612.64074820494318, 614.39475711295051, 614.70133642135988, 614.78612220010211, 616.37091254935763, 617.01167375577086, 618.91090923134266, 621.26725216540058, 621.95173940184532, 624.63680424552194, 625.50921594756926, 626.15143001101785, 628.10342639247006, 628.3682778919856, 629.59178497078187, 629.82461910180928, 630.99667042630176, 631.32102582991729, 635.6521353989408, 637.30557065792186, 638.17136216991105, 638.28518239656694, 638.33609509422433, 638.42223705980359, 641.3019797580647, 641.95141245325124, 643.3544781790074, 643.74680800821386, 644.0147261493787, 644.3517479993759, 644.92460002784765, 645.95860565937403, 647.58864595121736, 647.83981579264605, 648.03241888455784, 653.43805428262465, 653.76012589915945, 654.10206968569298, 654.59713986797101, 655.44602921350793, 656.81295042101942, 658.34043215471547, 660.50634554589453, 663.28649916351469, 664.02174412794091, 666.25275155165127, 666.39773917402931, 668.02943573682262, 669.04333525817958, 669.22536370498449, 669.89324624706865, 670.91487499692221, 671.4507109697438, 672.30621310260756, 672.62508565795565, 673.05263874727598, 673.14761695946561, 674.31439144182877, 674.98011639004289, 675.04556659246134, 675.09474345775857, 676.05336896340395, 678.02227757325102, 678.26274040321005, 679.70863202778469, 681.03436826563302, 681.06857420793324, 681.1873026806295, 682.25687641266745, 684.50681702505517, 684.67940853809614, 685.84580298342917, 686.89550266991444, 688.58999770441017, 690.71906773526916, 691.18329940897399, 691.39974170689879, 692.39760022413282, 693.08701991284306, 695.33860989137543, 695.54512832612454, 696.23339597013251, 697.44556763294031, 697.57969189994185, 697.86112003853179, 699.32810409228853, 701.76981057945636, 702.51981375495632, 704.22243035322219, 704.83075346942894, 705.25846710978533, 705.35638646408859, 705.78845202921195, 705.90729091194623, 707.07026185927157, 707.23271260860986, 708.49299978839417, 709.00025342731703, 709.49780992342119, 712.13083981978525, 712.21826699563212, 712.63527553800327, 713.58285366527309, 713.98398493930335, 714.08038142622092, 715.4626659981501, 715.52184850172284, 715.69340001486489, 716.607348067001, 716.88104386950533, 717.37785502034581, 717.4881238903057, 718.73368769724311, 721.45963515935318, 722.04552491120705, 724.2792725561128, 729.8217098969908, 730.21768866835043, 730.83818263977128, 730.94623756889018, 732.3061516931399, 733.36018460131083, 734.66178213894329, 737.21624371254347, 737.81772895018105, 739.22661132620283, 739.7811504183004, 741.06436148532975, 741.68875218898336, 742.53347888115263, 742.62471400516029, 742.69145787832895, 743.40790989036338, 745.36902390518435, 745.63374353332597, 746.55300418633658, 746.62522094914311, 747.94537438131772, 748.3657311264584, 748.66300063184678, 748.69885105582182, 748.90240371637242, 749.00835631589905, 749.38203639972824, 749.65700763005623, 749.73204085045711, 749.85184133398639, 751.9697464084461, 752.83256701377843, 753.33539012558913, 753.89005366672552, 757.51298289182637, 759.76263644705591, 760.4100170588099, 761.18069210055103, 762.44601751721939, 764.77299779047587, 765.3656642976332, 766.02195934618658, 767.57986544370181, 767.75862416694702, 769.51512017162133, 769.62793889485908, 770.05337613520544, 770.36955302705178, 773.03353539904174, 773.63533637592207, 774.24242043586719, 774.7712200836088, 775.09361714054432, 778.10500085266028, 778.29141503650737, 779.85609571007649, 780.36759437246258, 781.21404471630603, 781.56940347302009, 783.6527391717442, 783.95985425404569, 784.47564851480536, 784.84792551897431, 787.10779860117395, 788.4527254375854, 789.7665338864349, 790.2656480926762, 791.78435394732355, 795.55565950718426, 795.76185852985304, 795.9193243061228, 796.24562168135026, 796.3813848825032, 796.46416384053589, 797.07228836737568, 797.49756618766094, 798.40972852446509, 798.52736762389702, 799.43608807882094, 800.19142532738522, 800.2661610091501, 800.97985040202866, 801.31840385131784, 801.45605006035248, 804.35482173355831, 804.87000127988222, 805.17490560308192, 807.83460332261518, 809.02254587323023, 809.69330030348249, 809.75457029727374, 810.38422716831337, 810.93916148558162, 811.03284345330553, 811.07009375916778, 811.63077164275262, 811.88564592562238, 812.67371235012411, 813.52135760761121, 815.56811333165945, 815.7359909931339, 819.98082724970845, 821.28568253366109, 822.60001163393918, 823.29750183863598, 824.81949820932027, 825.20226779013331, 825.44072069628976, 825.50519613076926, 825.54632697059083, 826.07990761868359, 827.67513615043617, 827.8305916383415, 828.52290462742951, 828.71956728262785, 829.36987658554449, 830.75789320172157, 831.27226223065998, 833.23252409765098, 833.3619731869444, 834.0150433312956, 834.61646515498478, 835.66587383992828, 836.24883904429419, 838.97224690494886, 839.54037082928778, 840.42648640000903, 840.6771447395563, 841.65827611579618, 841.68085493997785, 842.12548579098575, 842.49890711608668, 843.1996840907957, 845.18734658615676, 847.60876638575189, 847.66561847438254, 848.31398225216617, 848.53002966742167, 849.04954119214563, 849.98763456363793, 850.06277756595057, 852.10419383013902, 852.27789432085649, 853.2806890351327, 855.02716864085016, 855.34514679374274, 855.9311922206557, 857.76179703235846, 859.01543065700776, 859.65199354969036, 862.11449129524351, 862.23836811960791, 864.26591762119881, 865.5393181329955, 865.61402960785097, 866.01657554942403, 869.56788867339242, 870.67410365708679, 870.828753001878, 871.795599024539, 871.8771238676652, 872.0429717614345, 872.78725035416846, 873.21023316632136, 873.32615689616068, 874.73979406836077, 875.28886805132947, 876.44593502241275, 879.61472213564753, 880.37369287759532, 880.6554582946618, 881.26430789455821, 883.47291182746517, 886.44219166363939, 886.83260922983527, 887.34503140993309, 887.59260273303096, 889.59988124481583, 890.44684799813353, 890.75756157957323, 890.93805964776811, 891.10293501906153, 891.13565033867246, 891.15796438806922, 891.27634364643643, 892.33581078082659, 894.67804287635636, 894.91387257360589, 895.39875738980959, 895.79703122635556, 896.50587081407923, 896.98292271278444, 897.04044396014763, 898.09301857871549, 899.55955360111, 900.64246196069143, 901.43064821317398, 902.98104269470446, 903.6739132724922, 904.40347584744029, 904.70146194517224, 905.08436454660603, 905.90983376077543, 906.3903575810582, 908.04991364960495, 908.88191671288473, 908.98252146590175, 912.65787084493081, 915.14493304428208, 915.18281548770335, 918.24683994329826, 918.95752875781682, 919.62761106090147, 920.34002743464509, 920.36141578521358, 922.40249882185799, 922.65671146356192, 926.17723323817665, 926.86473093478583, 927.04743493894193, 933.31396642836501, 933.43502475986168, 936.76770302326042, 937.57598358908751, 938.33941901534581, 938.99073161838032, 939.44965256371211, 939.5132637621233, 940.20025716588839, 940.45276365159236, 941.54473761578129, 941.73043066741866, 941.98647872188951, 942.04755628432372, 942.38097160760231, 945.47893083374561, 946.69925685667806, 947.02928489774536, 950.0036198232408, 956.42212023590253, 957.86255578245755, 958.18866080002056, 958.95607768181401, 959.17562934752573, 960.10822905753457, 964.24215680731879, 965.1538389506627, 967.9353704777759, 968.52316558394682, 968.71227391929199, 969.1287559995817, 970.43624761691547, 972.2085225840051, 972.32890838145181, 972.38058808031155, 972.831209437089, 974.40119241229854, 977.44316180409442, 978.1355540345171, 978.57045412474201, 979.90458680373956, 981.18253606194787, 982.25595587275836, 982.68017547550255, 983.08507929579559, 984.79593459123362, 987.94852927947079, 988.19206114372776, 988.88526711234761, 989.00046607659669, 991.44039729324368, 993.85426453858167, 994.53973837641297, 995.82221023001046, 996.17164684857107, 996.33308598456313, 997.46408471860548, 997.61358768843195, 999.18381205598803, 999.27799770049376, 999.80585185403891, 1000.2134345339472]),array([37.131255139898023, 37.503153600610986, 38.689822674099638, 39.178352020718108, 41.143719413488313, 41.785313169269557, 41.847740937360697, 42.456048909253198, 43.04720370201143, 44.320650947799678, 46.146909889460524, 49.094810428244379, 49.383270600726931, 49.763358706010017, 51.553111913862537, 51.88727443699409, 52.401714246552579, 52.934939586324276, 53.284670964603656, 55.569597726018429, 56.654017517977586, 57.84122402601659, 58.465024185068899, 58.779513851909925, 59.720365214151201, 60.306361825118067, 61.550672022433375, 62.328099356633089, 63.249196226967356, 64.696884940228557, 65.439649939224466, 66.958389903361009, 67.095370633600695, 67.540127498327635, 68.272222860800696, 70.055278013171545, 71.078475582174732, 71.518553898069101, 72.442378121256695, 78.318033964476371, 78.946284051939401, 81.506840656615026, 82.614928639107944, 82.817435404840978, 84.805936973848304, 86.970611886646807, 87.713681162633705, 88.217293808281809, 88.981503853524273, 90.96285625086071, 91.197250409222647, 91.384960418007665, 91.526524315730882, 92.181519923438628, 92.425222718208417, 92.893099034428928, 92.989112027324353, 93.685530775393744, 97.689715965412489, 98.672703505768354, 98.82992875303168, 100.11326412111615, 100.22643132567951, 100.80700004088604, 102.71055824560865, 104.59848158006177, 105.25862396685808, 106.44024873321841, 107.60769120099121, 113.12743520625712, 113.48500124753417, 114.94732297623273, 115.24660758650499, 117.21525266674433, 117.38245555725418, 117.40537523338325, 117.856765042071, 118.86241166675151, 120.12242824401969, 121.45978508078221, 121.86806953718535, 122.16128323224316, 123.42860799293692, 123.81963476400135, 124.72401919371082, 125.06725583741635, 125.10199340357713, 125.16901442374791, 125.53758591033315, 126.32908517949498, 127.18899990220892, 127.50792798498311, 129.27938522896571, 129.77938330608885, 130.21713941612893, 130.8195828550478, 134.34660652188796, 134.82231560884958, 135.90129000342856, 136.55756232094996, 138.98017372719661, 139.65930388376319, 140.31676455688742, 141.80744801999538, 142.76156822138555, 144.31042975188583, 145.03233681738942, 146.63348432233997, 147.54729534087051, 148.09163475038909, 148.53317493253994, 149.16077057717894, 149.24665084990721, 149.43512134605734, 151.78381213618505, 152.98456637712363, 154.43318435225709, 154.81370311612085, 156.41033606739632, 160.05918067915209, 161.15854865713692, 162.48136212033378, 166.09679467408216, 166.47330993028075, 168.6164186642238, 170.13414588794981, 170.21387632845588, 170.99306143090882, 175.70106666514559, 177.9752420304894, 178.28246911279604, 180.49372550694517, 181.32300519797346, 181.56027263335974, 181.77165263326808, 181.8554338144647, 183.51159055624132, 185.39687573787006, 185.46793384959039, 186.6900497179104, 188.15370684645504, 188.76037717941654, 189.279921807194, 189.67939610194861, 190.25798991646391, 190.66395543549299, 190.98030895651564, 194.25113102911666, 194.84897146542525, 195.29450050730034, 195.7977640144378, 196.73988691839369, 197.48369946582758, 198.08787104989838, 201.60649343525131, 201.73726076292007, 201.78382639102512, 202.79828877490431, 202.95147208121836, 203.49586405947193, 203.70515154874175, 204.26943164796563, 206.27169549158833, 207.0676815738436, 207.77154267013958, 208.74034234419995, 210.26434731969258, 211.14097071942913, 213.19492034022946, 213.21763403313577, 214.50121587747532, 214.72704016766147, 216.87203290220336, 217.24272919285144, 218.67586148281126, 222.75960715000525, 223.23405822018515, 224.8772473419707, 225.67409611052594, 226.75264415710899, 228.59660051744578, 229.40996311749538, 229.71810659368109, 229.93618461534783, 229.98620159240036, 230.35297320340229, 230.68861190224641, 231.35628993598053, 231.56309469761149, 231.79206826487498, 232.23647480807156, 234.30112228128397, 235.92543347400851, 236.96078593769693, 237.41947159324775, 241.62573494001788, 241.654407674146, 241.78522608683909, 244.34106604965652, 244.39225061790719, 246.50389585492437, 247.96615207864673, 248.46500914691856, 248.54757857925796, 248.9749414518443, 250.7780273082528, 251.08228626559466, 251.3431464677563, 252.9179117596002, 255.5717445275582, 256.82616108845275, 256.9344695164952, 257.13759338648214, 257.2939849711932, 257.89004599620421, 258.62361458547457, 261.49597220862012, 263.98986818578555, 265.69530519295353, 266.66685342742056, 266.73477969906509, 267.09605312509501, 268.3914751549421, 270.54870016277823, 271.36832714200619, 271.9428599470524, 272.59613153701082, 274.67303574055506, 275.18527755775506, 277.58965790556033, 278.24772237026639, 278.33265635638423, 278.74964476925362, 279.26435589223536, 279.96977806025581, 280.6534937575575, 280.81374084490369, 281.44340006654545, 281.63866727999141, 282.72846230255493, 282.85029474282135, 282.95695972926671, 283.29776651082301, 283.36064875713083, 283.40287307734559, 283.81060841923045, 284.03868196037689, 284.54186927673032, 286.726509464451, 287.17430623465515, 288.20234803002535, 289.88971172283067, 291.61384566512373, 294.87701838893491, 294.99937624830864, 295.39739466062292, 295.51875863353609, 295.96363025150811, 296.56812247065005, 296.94109472947747, 297.62806393532213, 298.36435503535961, 299.20854919715134, 300.34427229693927, 300.60739329939867, 301.16313572658993, 302.59737018766418, 302.8524221721454, 303.23200104291334, 304.17772983692407, 304.51691878252717, 305.76591069675709, 306.23724379324915, 307.93347436467536, 308.07893276893878, 308.49984360760885, 308.92744533170668, 309.27471581619199, 312.00938375485339, 316.90975461782142, 317.18791469714205, 317.9892911657567, 320.02218749851426, 320.22779857215619, 323.01129519956675, 323.11337261633213, 324.05166820148804, 324.0863424742364, 326.05058850735594, 327.32122186054789, 327.58077071821651, 328.98957539797749, 330.25022034674055, 330.41507292266357, 330.75297906866558, 331.63665380258834, 331.7959766067313, 332.18156829049389, 332.30943761511907, 333.39367599531926, 333.48938889501915, 336.2458925127309, 336.60915954942328, 337.87874589089688, 341.19528559057022, 344.28142693751784, 347.13913637899759, 347.42902138609833, 347.9306664781983, 349.14085442510606, 349.21236272179408, 349.34681963215468, 349.81340307837758, 351.71383612269432, 352.68707073516498, 354.29078013648888, 355.51255606486177, 355.63780100125666, 357.24663297933085, 358.30727753542038, 358.60539567003059, 359.11703352859286, 359.76908361975609, 362.26163975304559, 362.29466474697733, 363.56722701654309, 364.18735191064769, 364.30614256892108, 367.99575700168748, 368.30779995711441, 368.87151291794072, 369.86130044482059, 373.94298769081638, 374.71628916104299, 374.91649163756836, 375.46050876810091, 375.7813027618372, 375.8132138043544, 377.15958006596765, 377.67190501883846, 377.91269550663657, 381.20799130841169, 381.43686457030316, 381.88842769709174, 383.51014428038229, 383.95973950691115, 385.17182103166908, 385.99427640562607, 386.67178922049578, 389.27760422375059, 391.27947330369767, 393.0735240869231, 393.66511288289848, 395.79067551091816, 396.56139637632151, 396.79590416500417, 396.84366545158247, 397.15402701169501, 397.30201426382052, 399.27252832925205, 400.77603066771945, 400.88268281813129, 402.54683206615834, 402.67276544354689, 403.397377718835, 404.75227737011426, 407.41140200423513, 407.5714277351949, 409.18659242845132, 411.13304358059844, 411.85649952103881, 412.08452714239922, 413.43992637391148, 413.97959601423946, 415.13956348097355, 415.36114047683196, 417.37087970658058, 418.51161127763038, 418.75273861197093, 420.10126818750103, 420.16217501530252, 421.20884919534467, 424.73610259964875, 425.10800407343157, 425.95764810141804, 426.98380979971387, 427.14986048316956, 428.23683040897839, 428.47050181945309, 428.57043656801216, 428.97013613376924, 429.24074068793948, 430.40983324092036, 432.29229985032305, 434.23340129981386, 435.48107404007033, 436.10005302370655, 436.62120234222749, 437.06280928438156, 438.02066332984236, 438.1083548579457, 438.94359820274724, 439.17647202706098, 440.05841059166875, 443.17848836611887, 443.65278718407188, 444.03441254627836, 444.10808429153036, 445.60194020957709, 446.40952134249244, 447.1437858962268, 447.23002374700729, 448.16741393356432, 452.05361092068466, 452.10597725079413, 452.31706585104274, 452.51502250486612, 454.69929641504302, 455.84959777746309, 456.78592100296208, 457.3127826963331, 458.27525952948758, 460.72261743081373, 462.51171675178034, 462.65059382287808, 463.15989731844877, 463.213697151921, 463.75797663080954, 465.50749978797063, 465.59349141136818, 465.71199545773044, 468.17655109711563, 468.32716379896669, 468.85988915855256, 469.33340573614419, 469.5344006098959, 470.10820424050712, 470.18361959995349, 471.27549121484589, 471.61609034529533, 473.1474773024961, 474.38381910191873, 474.62248127546201, 474.82514309886062, 475.87623485681507, 475.9987210579709, 476.23046056972299, 478.23738140194132, 478.48949933581025, 479.94122361468305, 480.5150164386871, 481.48557895096894, 482.04608339262904, 483.03111546525491, 483.17745929092717, 483.38517331871492, 483.70579326955561, 486.90183880960274, 488.43694698095396, 488.59310868199975, 491.52887894156459, 491.99733631050515, 495.13824733423968, 495.24275241937625, 495.81731180461259, 495.93298971058539, 498.27795357838113, 500.08150640757719, 500.66848304476974, 501.08703462974177, 501.7200352914773, 501.95309956744461, 502.32205872928637, 502.76344375572495, 502.81911386852255, 503.55118130923364, 503.86083606456054, 504.6212379202837, 507.18758629766955, 507.5742369164405, 508.2153969602536, 508.693926008787, 510.43183264267918, 512.70949628187986, 513.3397541667091, 514.64160497301975, 515.50282061273322, 516.26394788657171, 516.83134787463052, 517.00082044364331, 517.74931169485455, 517.80090218948862, 517.83255061630916, 521.56192132811907, 522.43301387763984, 523.16417260296078, 524.57678621203104, 524.70757983922954, 526.2782005516965, 526.4811758064767, 527.8760860354937, 527.92591548161704, 529.40509244287341, 530.25270834426158, 532.0473731857503, 532.37442810976586, 532.88800470228705, 533.13619851399562, 534.68488482768851, 536.66648017519105, 537.25153952123753, 539.62678777202541, 541.3633129103689, 542.61483539642609, 543.83258423799214, 543.94005482054536, 545.45391651031775, 546.88426927324713, 548.96856257355773, 549.95135452200896, 550.44593009260871, 550.80952726210774, 552.44487979319331, 553.38219834872223, 554.10775162840605, 554.67236806339031, 555.83898395699168, 556.99720622121822, 557.71956400433294, 557.82184779154181, 558.31306144733776, 558.77658834165481, 561.78078489799464, 562.2330461602445, 562.70671914445677, 564.59149466741042, 564.95219987327175, 565.81172262503389, 566.27582370211212, 566.65070185010404, 567.00300104542384, 567.04877208034998, 567.45146543751423, 567.71522099035337, 568.21618108799794, 568.91864892492674, 569.59906112459817, 571.22826552518472, 571.55660340051509, 572.37588375707412, 572.95241597905999, 573.74001213403312, 574.07507681033223, 575.57502410499262, 575.87097933628888, 576.09671497742136, 576.44213549170206, 577.8875795136023, 578.3836370860887, 580.36316988967144, 581.38290068896151, 582.4921946276462, 582.58418333143459, 583.25234110750205, 583.53459006858066, 585.399247578261, 586.42716407962348, 588.07280665828011, 588.3865577045085, 588.45138026275595, 589.32741088751811, 589.41493072866649, 593.10418652939597, 594.63657284357498, 595.43205731380283, 595.51454289584899, 596.27203618224269, 597.40578504412076, 600.73989717244774, 601.25861306208401, 601.91639329964141, 602.24676123696884, 603.35582719430352, 604.68546400898913, 605.89925562826113, 607.50583570309459, 609.15157832318221, 610.08569741848146, 611.93561169640714, 612.6786909339138, 613.39725946294402, 613.80932911053947, 614.83941719800532, 615.48209207991238, 615.55790295679685, 616.18070516257694, 616.49265279700239, 617.33589581440663, 620.22252801061006, 622.21442921185815, 622.30460898951378, 623.13941291890774, 626.51983540467165, 626.67839864212385, 628.57522457045388, 631.52085622576601, 635.15168086520634, 636.52133288094853, 636.58518224119155, 637.77883977526733, 637.86672217397359, 638.24866456661528, 638.74521232573136, 639.72201905251279, 642.24435724765044, 642.3890656138301, 642.75188180933719, 643.3174202681239, 645.72352154243436, 646.73112260766413, 648.15796556710927, 648.48629216114534, 649.1339975675312, 649.24696059155156, 650.51494648147627, 656.64363641243767, 656.68292705604347, 657.66271093142643, 662.68711705192925, 663.21054342572609, 663.931294932279, 664.22465530560328, 666.1663026925213, 667.50705370438186, 669.38763636918463, 669.84518648810194, 670.52944757709054, 670.83029444689407, 671.29402079467548, 671.73852465654386, 672.20494121071397, 673.26018878328819, 673.28062333052924, 674.60169426695279, 676.06562459512281, 676.66889419383222, 676.85587633287776, 681.39181854012031, 682.34370929678232, 682.38790796604849, 683.27491375254669, 684.07038345826038, 685.83420256359943, 685.93035910457945, 687.68741763835169, 688.03543158494767, 688.05691532644312, 688.72168805457557, 688.83789394169901, 689.06863101498209, 690.37880177664454, 691.47634443111554, 692.05285429535388, 692.25183976739902, 696.25062767418433, 698.98382200500077, 699.1613268017129, 699.68293777013935, 700.49135682871815, 701.39325992848933, 701.71319946029246, 701.95833256905985, 702.06653287733275, 702.45188820407441, 702.94973610688544, 704.33095352831322, 704.45211204995348, 704.59881844792233, 704.9093134823205, 705.84318203612645, 707.86704159273097, 708.65861268353115, 710.14035361503522, 714.0661613365321, 714.28200871082197, 714.76560907609348, 715.61310130228799, 717.08842278234908, 719.10650791158412, 720.99521344495599, 721.54426230623517, 722.41353096603177, 722.7381894500204, 723.24065932682231, 723.61710197346679, 724.43881964797481, 726.00643768584791, 726.14120791939376, 726.65275451495052, 727.42610044271487, 727.84260736165254, 729.46897685214878, 729.51462982623093, 729.54421142973843, 730.80235174805432, 730.84948439567336, 733.31173705088838, 734.41476758010685, 735.19225561138433, 735.31330483971624, 736.25963548205959, 736.96636100673209, 737.53269277636662, 738.02242488089678, 739.10483800017562, 739.53101096221621, 741.53834753959325, 742.42306825961941, 743.64518590610271, 743.92348354718536, 744.60682913140568, 747.15130446809667, 748.6860709396484, 749.8387612114077, 750.3413668811271, 750.44185524602972, 751.39694161098271, 751.89936387001592, 754.63372696432725, 755.58902583533222, 757.03950940293362, 760.75562158703895, 760.89126348960554, 761.41964590734199, 761.46005678931681, 762.6010828629469, 763.29212550606667, 765.36204811016262, 765.50053991880918, 766.17760240088637, 766.64802183854977, 766.70228294720687, 767.94435644766531, 768.19699941612578, 768.5648924045546, 769.58144487513562, 769.60784406919049, 773.44822472957662, 773.74777809199031, 774.39848025080312, 774.98611041791105, 775.26411189208602, 776.30531895872912, 777.71669686330551, 778.157845428408, 778.48349336776414, 778.57260030558689, 780.76035597688315, 781.0444893032261, 781.7940197487552, 782.288107220033, 782.75207344094895, 782.80124655652708, 782.9046124052802, 783.00810329236958, 783.05399081777955, 784.85821501741123, 785.97355555274351, 787.00358370482309, 789.31525738870357, 792.88423204637775, 794.68125701156009, 796.00173192586522, 796.17860535635134, 796.94825467577743, 797.34484368906442, 798.17695214288233, 799.64168317461019, 799.95616237168497, 800.86314376642281, 802.5362714872482, 803.27622795679326, 804.28912713759189, 805.19273466429797, 805.5946766691012, 806.37726177960496, 806.56732734035756, 807.76922762535605, 807.8370335782073, 808.58911424267751, 809.09587089914271, 813.32253036060922, 813.79734702728035, 814.53581804829901, 815.07558307616, 815.65177976704035, 816.46498660837381, 816.50980031099107, 816.97756779760562, 817.13470533959287, 818.06151169165969, 818.36904316567166, 820.92705541293435, 821.70997717614159, 822.96274830500806, 823.38555482479489, 828.05122158217239, 829.28885151619306, 830.9564299014105, 831.41325605434622, 831.62166311296744, 833.14163736822275, 834.16266003254873, 834.7804692763159, 835.3567485600779, 836.20860085115407, 837.09013150399915, 838.16211319882257, 839.84340772435417, 842.62296497859722, 842.7330479943696, 842.81063403439134, 846.43028784261242, 848.84318270367044, 848.8918103661041, 849.62044159788968, 850.70895269384221, 853.61860650672759, 853.80892207935995, 854.29731648220434, 855.56570734657146, 856.40966261132598, 857.69725558255197, 861.66459302923886, 862.44198987000266, 863.75915397070833, 864.26894722337829, 865.02088733380685, 865.29973007748799, 866.53606554019075, 867.15241458038986, 867.84366203668594, 870.7926168981503, 871.64036906434171, 872.29498604627383, 872.42820853303499, 873.37713009597985, 874.03363046955599, 875.31139170606639, 875.47385779638569, 876.50334694519324, 877.91730241793073, 878.07389327259591, 879.99508875160188, 880.10925384773907, 881.05307915601622, 882.80477537047329, 883.06014118437417, 884.00415741633594, 884.14898025848765, 884.18774054742914, 884.88759839919442, 884.96102943109076, 885.11778825712975, 885.57816031853952, 886.33621888395828, 887.8726286583103, 890.53659700267178, 891.73638977565213, 895.65402759377366, 896.20155611365362, 896.63937348210879, 897.61542190255784, 898.22937011721433, 898.72944320983606, 899.19893827444457, 899.4231694188087, 902.77076758271232, 903.69593106331217, 905.24096880893285, 905.74153298057286, 905.94821587801391, 907.62567183071508, 909.14151173207824, 909.19366366924498, 910.78834290605607, 911.13553326370914, 912.0856206534578, 916.18899287678948, 919.83390147476439, 920.19562192752312, 920.22024626955636, 920.50616668848556, 920.68943640007433, 921.3257874527377, 922.81894101726516, 923.12310811944144, 924.27047219624853, 926.24695084841528, 927.07969318435119, 928.69953093408435, 930.95396199610752, 932.68129747132718, 933.95149869788827, 934.61932223148051, 936.61112605913388, 937.15416824287865, 938.91780953303282, 940.25978990076567, 941.48784365624294, 941.77325198271092, 943.0585286987731, 943.16552550883785, 943.62083590638406, 944.5039919514129, 945.72142638834077, 947.13267221083083, 947.24798638230982, 948.98097225126185, 949.52578076583143, 951.82947871072554, 953.33392060256392, 955.3290944325887, 955.99535896269288, 957.28835748156951, 961.15250690733228, 961.63578353667981, 961.7192171654691, 962.16283108955042, 962.53859145375122, 965.27411298778668, 965.3629206886244, 967.71587509459061, 968.2151614932485, 969.7411171187224, 969.90849444690457, 971.29766858805397, 972.54932884462153, 972.92490897761036, 973.26625969920099, 973.36225096826786, 975.3845209985933, 975.93156127619977, 976.29240242617311, 979.90650150558611, 981.99847042304748, 983.62992170107748, 984.51265827507177, 984.57366313534374, 985.54660727401165, 986.65023599345966, 988.00682461803376, 988.30099163637908, 989.07165735034266, 989.24742653222472, 990.40610159982441, 990.47250894667718, 990.63765407212918, 990.73446332099104, 992.90378182667541, 993.37433331119496, 993.81273490511171, 994.4317281281875, 994.69004817719451, 995.51691416104848, 995.89229064779613, 996.31588658959402, 998.9975390016059, 1000.4959552985276]),array([12.783112482311443, 13.821956022677181, 14.061652689856404, 14.285942534885399, 14.490452084515903, 17.276727149219997, 19.357013202174464, 22.76872737210115, 25.151488176364513, 25.201807250072527, 26.802267062540508, 27.50908455466071, 28.369550385707875, 29.135687609717117, 30.752510721547456, 31.121121702235719, 31.908874233240439, 32.978219713984643, 37.93401862155654, 38.221664227761146, 38.981337738001713, 39.337003839417243, 39.972298253947997, 40.192325453532163, 40.940720400870333, 42.786961489632581, 43.687092099486257, 43.854318752987872, 44.305114278235997, 44.622857674009857, 45.417578392934715, 46.357884624043777, 46.513454843354566, 48.0352329115196, 48.079760522832196, 49.405781828695325, 49.859886483352561, 50.820914690907806, 51.550369500397409, 52.919793245092421, 54.844664542675176, 55.69534279870701, 58.712511343528313, 59.060819916125389, 59.083716148441184, 59.256832911334193, 59.396284751949771, 60.734925130475204, 62.585203589174142, 65.746515804790803, 65.783337795171519, 65.864437832743491, 65.889335268434195, 66.380190327015043, 66.860467269916583, 67.345047856444992, 69.873630379332226, 69.993348561819602, 72.280715470707406, 72.91315017442561, 73.560582926581418, 73.831170850012896, 75.734531479168879, 76.280055894547417, 76.381845955906272, 77.941411967696112, 78.338951183878791, 79.011467607690875, 79.474347598085075, 80.183440679725408, 83.775628106582957, 86.035441891517891, 87.931066985778315, 90.276269064713787, 91.568638969026324, 91.604354640595275, 91.638985985555465, 91.935318126817847, 93.110184631313885, 93.192108288133369, 96.539865636326965, 96.752733624541804, 97.903709523116873, 98.513492421991273, 98.760283792529648, 98.821545523521024, 102.43643787958743, 103.24104976945249, 104.84494433990153, 105.96434373218636, 106.30281926675255, 106.85323030954416, 107.66529410814874, 108.65433353709038, 109.19724785259143, 110.41108691352592, 112.5231277696705, 114.84933976975034, 116.69773153257695, 117.29716937868282, 118.77411407758287, 119.26305536718181, 123.12626808627778, 123.88877264403153, 124.07298796162833, 129.62097983082313, 129.70903596068257, 131.69791727941904, 131.80616411796865, 131.87951590733752, 132.59416497690174, 134.67852755296306, 134.79278902926939, 135.57801838092925, 135.98260033542968, 136.20741372796255, 136.40743288192505, 137.14540203349421, 137.3793817647049, 139.39949803822475, 140.21770471847114, 140.67417722865071, 141.03825243854266, 143.93575367248653, 144.74004420784871, 146.71801459457345, 147.89715305050433, 148.3108342388669, 148.42037562138495, 148.63007887220468, 149.5236098701115, 149.66528322213935, 150.19042639981444, 150.31791959004613, 153.65776748522177, 155.1354431767721, 157.61379265378264, 160.05821487445493, 161.26521433187489, 162.88295599110333, 163.44181367933066, 164.95272038222492, 167.24981582814658, 168.70833076454537, 171.05459594948485, 171.67388727285316, 173.08445084417818, 173.59152643271472, 176.94370207805343, 178.50035358125842, 178.96063792522776, 179.05689528137358, 179.65228437434126, 180.24685560814311, 180.72907200749421, 180.85878696029314, 182.5632876649567, 184.1370976991476, 184.70847041493613, 184.74866130016594, 185.09216886495298, 185.71089995506355, 186.1929449189868, 186.59402062643002, 186.71840827486017, 187.82387446958552, 188.19404845946113, 188.26851946474483, 188.34083889746617, 188.69647469680316, 188.76261926311778, 188.94944522465892, 189.38065267534122, 193.13419450836724, 193.25731783083128, 193.5576104657124, 195.01576190380089, 195.37077261506789, 196.8671011740683, 196.90707736596138, 198.28634906118626, 198.69860686947769, 199.22623267912627, 199.41585146592081, 200.39272776444955, 201.01540201930055, 203.69249250798512, 204.29224988373525, 204.62061442293609, 205.14713512014831, 205.37576196033086, 205.70731856889884, 206.42821249333014, 206.85640145193545, 206.95444308844705, 207.76921165278415, 209.82116446678484, 210.04142377683263, 210.7049404616385, 211.05771683718243, 212.16871649130357, 212.8177995621445, 214.34317218729129, 214.54125638192079, 216.32472350403336, 217.25964427817274, 217.42825027397996, 217.58140478250664, 218.69006611000077, 219.14383131893058, 219.41119701139633, 219.81155478638289, 219.9376905325926, 221.01008056697071, 222.76001941358825, 223.04668475139599, 225.77305955915605, 227.27215921856023, 227.87484520954084, 229.96419752295859, 230.18782500631502, 230.2983638939219, 231.32108222212324, 232.79858030117396, 233.57562122682444, 233.88322990271215, 233.97864065815028, 234.63794146183892, 236.36963623168194, 236.84284804623962, 237.23721773488012, 237.60967800802823, 238.11629211117662, 240.66062739526947, 243.07444900675821, 246.12200249669036, 246.5747691663409, 246.65434539434003, 247.5208690591565, 248.82062260460344, 249.70422697279213, 251.34382629105818, 251.40604266759578, 251.44300335822012, 253.10468024686884, 255.29354436769324, 258.66415373278267, 260.6310329891482, 262.31397794528237, 262.37825728918261, 263.48128777755312, 263.50639297097092, 263.5589312014165, 264.17288387545005, 264.75585723297218, 265.20440665443783, 266.65731274756428, 267.00523424091313, 267.11756672843484, 269.18433114358157, 270.62781166625786, 271.53565131299439, 271.87495592231426, 273.3228193811056, 274.17682856848955, 277.17953763920588, 277.34027989713445, 277.74971592424953, 279.21397284241192, 280.10650349367177, 283.47969118009411, 284.07899066484407, 285.17900961824455, 285.23701961054098, 286.93414887138982, 287.61491978221028, 288.64005682804941, 289.11262235694113, 289.20978549147088, 289.34003659648579, 290.24114943844739, 291.75098905167556, 292.50090462568363, 292.55002195625895, 293.24295085126181, 293.63645967653304, 295.55101298352906, 295.6657430750526, 295.91423225187123, 297.11355130911164, 297.23855471608977, 297.50277308470896, 297.98727635955669, 298.71463419373976, 303.46772717279384, 303.9838321821253, 304.67706929209675, 305.7788629143443, 305.85721669745902, 305.92473204720909, 306.40673783040438, 309.7636010808838, 311.42228346261777, 312.8305044699311, 315.40919485406727, 315.71374593555453, 315.90635063093004, 316.10854751629557, 316.24744757546091, 316.85197794702361, 319.03216629894666, 320.00453403766022, 320.95247099916372, 321.0154869373182, 321.11550578540539, 321.7968267026796, 324.52003754029226, 325.23016100679774, 326.54665201692012, 327.24195591663243, 327.85747479379705, 329.46095219757302, 329.70877387272657, 330.90067342464772, 332.20046527330226, 333.98373673373789, 334.09537434676076, 334.55888099172387, 336.0048833880744, 338.0633262812828, 338.32228000659637, 338.37922204667848, 343.05135756728401, 344.97528477782953, 346.19409356859182, 347.16067301321084, 347.28078435187234, 347.53258215329282, 349.34826188350854, 350.3174091989456, 350.47617486955988, 351.20795525186173, 352.47041286866278, 352.55837369026693, 353.17998795900559, 353.32830034816243, 353.47287985223625, 354.90328988006706, 355.94132643610317, 356.71548264117791, 357.75751686619219, 359.66177250403177, 359.80516097978642, 361.24333702011938, 362.00996215605232, 362.11424241412374, 362.19588559245835, 362.47677758229082, 364.4428169451532, 366.36150311207439, 367.35712542370175, 367.58717433467206, 367.88311513933974, 367.9464565727377, 368.48719439437417, 368.70739286143208, 368.87780170219878, 371.06065572503064, 372.65622206208479, 373.46218435332895, 374.84080521261421, 376.35501780298023, 379.05573002056917, 379.36956023794374, 380.28119596704988, 381.13968311608306, 381.89477385868776, 385.23228595749242, 385.5436103648708, 387.06303660278792, 389.02851397204904, 389.49196574862418, 389.79233731168648, 391.46296087912066, 391.7937749363951, 393.82529867194216, 396.58216564427306, 397.23807107074015, 397.33715815719046, 397.65691138461119, 398.10903645570733, 399.03795282843839, 399.84433589471126, 401.44683283751709, 402.78884399944701, 403.11379997898445, 404.16731858075502, 404.93763495915425, 406.08927111185062, 406.11182627856107, 406.36042775929138, 408.05446071679114, 408.41680153070189, 409.00019393072665, 409.90093338511548, 410.27552874074161, 410.340263511324, 411.61506403406202, 412.04271359411445, 412.34614392960782, 413.15200080828566, 414.62242351244498, 415.47443667076027, 415.55532778246237, 417.92094204928623, 418.2450035597472, 419.29825793840644, 419.88489751257487, 420.75194637265031, 421.06888716401971, 422.03227211706985, 422.53158296603925, 422.64126591813783, 422.81078995722834, 423.9143956151737, 424.34108483233837, 424.90869904568007, 425.33787232477198, 426.29660898802661, 426.81776201309549, 427.75404091805979, 428.62294211553143, 430.45219741360523, 432.71947272647748, 432.82410316744057, 433.10207426790311, 434.27054174781767, 436.87383783432171, 438.25889379623811, 439.1309817591038, 440.27067924813815, 441.30114006112512, 442.01256861236851, 443.82713878429564, 445.56108182017306, 446.53325451293648, 449.17517512095566, 450.10388160052912, 452.75008604583689, 453.77728576184467, 455.78073998029038, 456.45515413695381, 458.56955458295636, 458.89931375002794, 460.24117278858677, 460.47777405667836, 460.68575956176494, 460.98893512023608, 462.63107964473647, 465.70037834227912, 466.58161304445827, 468.22026395208809, 469.2981284691802, 470.52696247898075, 471.42744521358964, 471.75039891886536, 472.33506576047597, 473.13157213419743, 473.79079712264831, 473.87361714062592, 474.97478362736842, 476.69399983358863, 479.22019820492733, 479.39107757079097, 479.66427433671169, 479.75357421909519, 480.37574404121676, 480.40560701067636, 480.6893724406454, 481.36524662508486, 484.44484348457109, 486.66053612437025, 487.55301359535082, 488.80020570102812, 489.0055611501254, 490.63587058818047, 491.07355408191154, 491.33130772276974, 493.3745837179697, 493.64885556166257, 497.31929605143227, 497.408928862435, 497.4878316663532, 498.13181371063939, 498.22020842382415, 499.62111164256942, 499.75172720916777, 500.45458621448449, 500.95133715390563, 501.35737570578954, 503.38998880724779, 504.3064094997826, 505.56966537661799, 505.97622015425031, 506.97328442064367, 507.32076724087631, 508.53440965989654, 509.09236351916138, 511.65178368019633, 513.18656984062648, 513.68017068729444, 513.73489230520386, 514.10002100405973, 515.30010040865966, 516.43409477571231, 516.88766348416493, 517.45325794350697, 517.58727330266913, 518.27907764611484, 521.76372270170054, 522.87191457361325, 526.04173653239059, 528.07674102679528, 529.7455586857302, 529.9345432833278, 530.09243344301228, 530.89359555333112, 531.02091369469963, 532.19486537196985, 532.52338481797858, 535.17606797375129, 535.94565859348904, 536.51494208302597, 536.54613686473351, 536.97351544592721, 539.40781885328227, 543.75847950945729, 544.05549241536528, 544.63413013951629, 545.32228343189399, 548.32679604629209, 549.57807162267341, 550.19914019225939, 550.53262321313343, 550.55690182354567, 550.63188449673225, 550.74097115661687, 550.79951409313492, 551.05348852803763, 552.44138710384777, 553.06591102188031, 555.40392427040263, 555.79902956438434, 556.53367110480406, 556.61947792400304, 557.35348829283146, 557.94492380995825, 557.98521137281659, 558.25295871661058, 558.37160853165733, 559.60174482943864, 560.96371726416157, 562.47894612682899, 563.22534072590929, 565.2342084423276, 565.40608675286148, 566.12553096557554, 566.49680394142706, 567.61858301770735, 568.62892741078201, 568.9014133800631, 573.11627982158598, 573.74935383333309, 573.95511269381609, 574.38745335261228, 575.33843029555271, 575.65958569886709, 577.43404844626968, 578.01703647854083, 579.80542302485242, 580.50515392947716, 580.70014081858449, 581.05963999071457, 581.61319479268263, 583.04574944339424, 583.61487278562083, 583.96067939068939, 585.05136290532573, 588.03559446864028, 588.52535350235871, 589.17031429769031, 592.45950205381791, 592.98515448430248, 598.40074277048973, 598.44949655819335, 599.37207992348635, 600.10059456108399, 600.51573600551785, 601.33804904659883, 601.93878713546383, 603.57715672582674, 603.67362342057925, 606.23924268730264, 607.7227190661506, 611.42015984265322, 613.26039290022004, 614.17556546173034, 614.31187657919713, 614.55452575711752, 614.96711884687977, 615.12644662573609, 616.12798280982031, 616.77840046630888, 617.89210495796374, 618.3745948624354, 618.41039751831886, 621.07943614492444, 621.30096268579587, 621.3417652914751, 623.12825291792694, 624.72115308241871, 625.29981211069207, 626.28238419096124, 627.07666367776881, 628.86593211191098, 630.02396654920869, 631.40467863135348, 631.61951559059207, 631.7597094843353, 631.91785499660716, 632.51381971456112, 632.64303850454996, 635.84071929287188, 636.02934678958297, 638.58487431107346, 639.54192595423581, 641.30763638413089, 644.90182076631345, 645.69164445634328, 646.78443262645976, 648.26356490151409, 649.39130850622962, 650.17394447337051, 650.25947072442318, 651.23881410722856, 651.75696925340958, 651.82052063493006, 652.96852127478519, 654.10161803781909, 656.43454747900489, 657.78266108170635, 658.09272274950797, 658.35987877118271, 660.65971257583271, 662.1510016795786, 662.26202981385995, 663.92796905135367, 664.61975991974725, 664.98827217942846, 665.56965082719466, 665.61385492053751, 666.39593380100439, 668.11068315295017, 669.22581197297848, 669.4580802036719, 670.63849726383069, 671.10779090128301, 671.38121951739549, 673.52802303037765, 678.59769290983786, 678.96184382695719, 683.40075693254232, 686.00994244039862, 687.99479388136456, 688.75622992650676, 689.39676874744737, 689.66632248372127, 690.74470783816241, 690.9590942733505, 693.10297677991673, 694.95130373514564, 695.40090454225242, 695.54173809970416, 696.69873323936645, 697.28128888821573, 699.05443447946232, 700.07873223853289, 700.45192280263097, 700.62768262253292, 701.44062666415618, 702.19467429188308, 702.49268795337366, 705.40864073207456, 706.23686018620708, 706.98437962042431, 708.96386137782497, 710.40334709960723, 710.62960017229273, 710.94863271775853, 711.24942493665264, 711.31509780309443, 711.76184548470314, 713.0572511796662, 713.878088267002, 714.82410920956693, 714.9172185286377, 715.49263413788583, 716.68099611179878, 717.11355394008035, 718.2911920797975, 718.88783207321194, 719.16676456078483, 720.38814515689558, 721.6944066659687, 724.4259372159546, 727.15725170567828, 727.95853088152967, 728.8667807557523, 729.87428313473106, 733.29518980992736, 737.05172551142141, 739.49013706539256, 742.41427670622602, 743.29194640381252, 743.7079877343682, 744.36754682299863, 745.46990995537703, 745.64182839375167, 745.90239197243659, 746.46694670300769, 748.24749418356737, 748.47301869778278, 748.53972492973958, 749.09572831470052, 749.6718990449948, 749.9990105568113, 752.14350376252094, 752.46548760288044, 758.99773053921456, 760.02688192418577, 761.93158829939205, 762.05536824342255, 762.72823564334658, 763.29223628864872, 764.37771867059212, 764.41551489072924, 764.501740881827, 766.56641985876979, 766.83808647901321, 767.95713698039492, 768.25137853796468, 769.70735340311899, 770.75582179443734, 771.55862502559989, 772.30661269732514, 773.24692342960645, 773.96304252210041, 774.67488129525839, 775.91121587243117, 776.35751318454345, 776.7466622537728, 776.92134713316716, 777.65234480554557, 778.81090169131937, 779.85527259044295, 780.83957975571161, 782.09850676470683, 783.01376856978698, 783.20538783644565, 783.79715076616606, 784.25868793990196, 784.90433912831747, 785.63550710286961, 787.50182200937843, 787.62085353006478, 788.57844487294869, 789.98687887493645, 790.500836338265, 790.86057663712074, 791.24756139477927, 792.32914296983142, 793.45259213419627, 793.95206486770974, 796.38258911568971, 799.72140432708636, 800.52300067156557, 800.68900763592228, 804.14448246032418, 804.19267877704726, 806.55451182541947, 806.65320976791349, 807.70627533083155, 807.99345100663231, 808.5712390109727, 810.18875538496923, 811.64011660659492, 811.99654005600587, 814.39468657681311, 814.46690021580719, 815.01761608381059, 818.86714909605894, 820.61712743294686, 821.13274129017202, 822.14578077294334, 823.90673653386068, 824.26050384985558, 824.86313520126919, 825.14469225282517, 826.00749647765531, 826.55029833019194, 827.46975972405994, 827.8374002420062, 827.99468071091258, 828.12395371622074, 830.16208069068705, 830.72871936445449, 830.76783749864649, 833.92299880400299, 835.13030826822273, 835.24640900561951, 835.76916482311401, 836.93485008698576, 837.02511690276538, 838.54842902432245, 839.87809239883563, 840.46388973037949, 843.01086023362859, 843.03977433405305, 843.13947883398134, 848.14144756734322, 848.96991987000104, 849.64340704349218, 849.74859292614326, 849.95869197761772, 850.27421111937736, 851.92319930205099, 852.11374147871959, 853.9573050992567, 854.94983809375981, 855.64253524082187, 855.87279917894284, 855.98098500372203, 856.00984634049871, 856.64207394549192, 856.79266982629645, 858.11237224293188, 859.51968524764925, 860.0386097159975, 860.84121694540261, 861.07063855502838, 862.52526193817823, 862.84290691254319, 863.04318524868029, 863.26519227280107, 866.17709584563556, 866.33698947216772, 866.83404966383273, 867.00934407679676, 870.50878511220606, 870.5960081242074, 870.65477091654202, 871.06199026508921, 871.72651048495061, 872.78413413644876, 873.37851861880677, 874.14374492217792, 875.56338409321359, 875.66634653865867, 878.13183766900522, 878.82401457666845, 879.38628230594134, 883.63022554494637, 885.10762877695777, 885.42624192744313, 886.2266730206926, 886.93992454854492, 887.63256651479992, 889.83651154217603, 891.75069439825165, 892.76648119616823, 894.13252167199914, 894.61159978468629, 895.06526792572549, 897.29501133813312, 898.65029317405492, 899.53261909261187, 899.62858785564936, 901.52744231563042, 901.98887784841259, 904.35035403700056, 905.02328230100068, 906.42746515445924, 908.59054594783629, 909.2509871456665, 909.60957946447604, 912.04892962459826, 912.36958229487084, 912.78643303776414, 913.13613477692843, 913.80535602790667, 913.98606763131329, 915.24450373384229, 915.34662424618955, 915.41096165383306, 916.94455008483715, 917.37050200384044, 918.52018626721974, 918.9662791207229, 919.41669748142272, 919.85494429277469, 921.48426195656293, 922.1862801698685, 924.29465717318442, 924.37822757018671, 925.18179488679971, 925.26673007862166, 926.7477885904093, 927.46622941942371, 928.32946627758838, 930.06214173720582, 932.53191099861669, 932.90347989563895, 934.34037554600081, 934.51605395845058, 936.14802191282956, 936.47186969608697, 937.58671093585963, 939.35102798283106, 944.5328038031181, 945.96557826779383, 946.01346309009637, 947.67783936237231, 947.9305032364108, 951.50319102237222, 951.94433025343051, 952.16780478526607, 953.2016407970217, 953.85141091249159, 954.50388659567693, 954.67776630073263, 955.54992801514356, 955.62099569120744, 957.33328277965245, 957.85634382623152, 958.36241530805069, 958.50396803511512, 959.00376517266102, 959.63656506623772, 961.3129447544477, 961.67246220520724, 961.72675679331155, 963.50046908596846, 963.62331643586572, 966.48879112046234, 966.51634863839217, 967.40418696981328, 968.79850330045929, 969.87685905995954, 970.4359381281887, 970.99991965387608, 971.56952455303383, 973.38580511262671, 973.53614358744505, 976.31144105471799, 978.70979076312369, 980.86729208025974, 982.15805110246083, 982.3384889769909, 983.75323603849472, 984.43590205158966, 984.57738943696415, 985.40344251725458, 986.67136427363823, 987.08135553328646, 987.62424714646386, 989.57902388723812, 989.66842441681194, 989.86867201597386, 990.33158033416748, 990.36712664112565, 990.81620779147363, 991.42316604216171, 992.05676693697387, 994.01135704144099, 994.45184107587522, 994.5462220706886, 994.87777977510689, 996.76058045261357, 996.88181408911998, 996.95050936491066, 998.66976393051164, 999.41869071901976, 1000.5803728713402]),array([55.075764351257675, 55.261428972151336, 58.549107182456076, 60.042995205606296, 61.1699650069122, 61.621944096477165, 61.949645434476835, 62.348749783504374, 62.389324652260775, 63.491485650993788, 64.814665253626572, 64.99886275458104, 65.989589990962457, 67.916490286815318, 68.540224725252415, 68.796595695785371, 69.419052340998945, 69.711109009547826, 71.790159273067147, 71.942192119062653, 72.296378953377882, 72.725218395326934, 73.59665152935554, 74.418430789239451, 75.099792188882333, 76.000192819018324, 76.386947257393985, 77.565342580715296, 78.192242082124437, 78.571581202170421, 79.676764024218713, 80.612834624574106, 80.75836996036584, 81.663600954122089, 85.233548021390774, 86.625755919846412, 91.130615491394934, 91.322912012848604, 92.69094140563648, 93.225880877074061, 94.166618615788906, 95.126420542451626, 95.388900658700493, 95.669135895726384, 97.269715417306998, 97.81787114299847, 97.966878188495755, 98.191824034195918, 100.09253345505256, 100.45302215597712, 100.84337734124733, 100.97258521029138, 104.74774923260355, 106.20227017874832, 108.52400518550787, 108.74191002385625, 112.70976604022883, 113.49576526818257, 114.48141651686349, 115.37501793901684, 116.63948887695778, 117.16188361484339, 118.28326979123125, 118.53551349988231, 118.69078057233037, 119.1419168310759, 120.6895112604581, 121.31780140783185, 121.35364675529559, 122.35719319598823, 124.04172044432913, 126.6587322710853, 127.99761905558555, 129.75576484962966, 131.16282957808866, 131.69651845945936, 132.00266992478939, 132.82187940807037, 134.63029551695433, 135.0117689295821, 137.97393476832988, 138.93697985118234, 139.70196119318311, 140.03227022191206, 140.99813969360576, 144.03304821441324, 144.30206981297903, 144.48227631079499, 145.49853292379262, 146.3482840086416, 146.37066979088542, 147.86696573640717, 148.33733408649076, 148.8672475850214, 149.59132884665794, 150.69596340195417, 151.46953193419526, 153.58568787960897, 157.88599821452669, 159.44558928997444, 160.62546983055407, 167.9574849405173, 168.06603251819948, 168.68145307790653, 171.54333089257895, 172.19987802089062, 172.3293288882092, 174.70800244437729, 176.31454374019853, 177.67839249193392, 177.81603550552657, 180.1305270835424, 182.14654060993814, 183.06249007105345, 183.81219532256853, 184.70406781112467, 185.22616525273779, 186.97615330815779, 187.67477361296326, 187.81897002513293, 190.356014836702, 193.75566314433749, 195.27871651494391, 195.46259440470175, 196.88209279279198, 197.42218766021722, 198.57726732044364, 198.99205511398878, 199.20752257022954, 199.31895322705421, 200.05641510701523, 200.38937193559875, 200.62096446925358, 202.24500507784947, 203.40624823344825, 204.56831054006688, 204.91858493118085, 205.0441696265182, 206.01495912007542, 207.252243938909, 208.03827667729593, 209.32457290932675, 209.809011075196, 209.9507826627194, 210.66739426413022, 211.88535901410188, 215.98397931277219, 216.56588051325602, 217.47263583369062, 217.54184513512357, 217.80499573520868, 217.93475686932541, 220.28626781528573, 222.07887404970131, 222.79461808301809, 223.50358541566777, 225.18941609577482, 225.64288009215423, 226.75686210509301, 227.05975517794462, 228.2428027026686, 230.18724249008994, 231.70823417981416, 232.51397213996671, 233.72737319663906, 235.73075416332188, 235.8250375999892, 236.27453523451103, 236.51027482895526, 237.05876309939458, 237.12253758282944, 237.47446097171431, 238.65967701013565, 241.17014355634851, 242.09905223501787, 243.69450603971751, 246.06824509379535, 247.26867109303285, 247.98038688191807, 248.28816769844801, 249.21626775241737, 254.04378458165269, 257.53866703759127, 258.97651135175494, 259.3283854407415, 260.94633213948981, 261.23172716547003, 262.34834879487437, 262.90524504199169, 263.44086640568378, 263.54001848815051, 263.76586966665957, 264.03663297654015, 264.11473135592178, 264.92911387492956, 265.50210562320979, 266.39011847000296, 267.80220882682272, 268.20114379011142, 270.27821076647928, 270.30135756905872, 272.02481827141645, 272.71322910963175, 273.64411688505652, 273.66632849559386, 274.05389171323185, 274.14731436794733, 274.84447067034642, 275.99144092607332, 276.571075690356, 277.30164531787335, 277.71005386846861, 279.84569592567777, 281.06884643842631, 281.13738363718687, 282.45354688695591, 284.29044910081484, 284.46202674500501, 284.93909095538527, 286.00351178871421, 286.17757837722172, 288.26238301578093, 288.37077939524266, 289.57676321932502, 293.99345481212339, 294.46750887048756, 299.47627214049049, 299.64241643779155, 299.8552210612238, 300.91670491823692, 301.33632313151026, 301.3619517333675, 302.75289519717563, 303.00547456431514, 304.10328485815467, 304.25668725197386, 304.48328204760082, 305.56547307045497, 305.73260116930459, 306.41573563647205, 307.48134910897977, 309.6976807809649, 310.01080139696353, 310.08357579414979, 311.93983506894438, 312.23110976213746, 314.75050307624139, 314.94434084368805, 315.60058591270422, 315.75844769083227, 315.81336688351672, 318.53926507876457, 319.09686939361347, 322.05511879727072, 323.71260982142962, 325.00675731478782, 326.82657673600443, 327.94661001428329, 328.17075343613106, 329.74180643291379, 333.60762172956288, 333.8026187335833, 333.86223214879169, 334.82392890713561, 335.55507806548752, 335.92211219840715, 336.10774950440003, 336.46808755598107, 336.71736830161353, 338.63900990289449, 340.53267149376876, 340.89612096461133, 341.00879263283377, 341.11061814692897, 341.61856799386732, 342.60999807280405, 343.06217456788619, 344.37357981968177, 345.03674816452536, 345.24950683595421, 346.36944054710455, 346.67744419501958, 347.5398271680516, 348.26609804894366, 348.61302422841811, 352.45065992670504, 352.74240614842108, 353.46954874527574, 354.49958046495061, 357.97445440074938, 358.87921888794011, 359.88520902773018, 359.99872571344059, 363.17092129626491, 364.62071466693044, 366.54315069594156, 368.50256792577875, 370.18209268013675, 370.24831650440848, 371.07608190820986, 371.78844270982682, 372.88898853518185, 374.78440656644511, 374.8046545829485, 375.70336343049888, 377.31410902625584, 379.63544888057777, 384.25497264384603, 384.46519795711157, 385.13201478292285, 385.18355381257834, 385.91798625777989, 387.17633137364641, 387.22700793996125, 387.75262542667798, 388.03417147265708, 388.21786270446211, 389.51333948159055, 390.50587803238744, 392.51614144575956, 392.70183261457493, 394.10580945618472, 399.19587739426436, 400.2268944042757, 400.56381364527147, 401.78723285265903, 402.15042512323708, 404.31901752333033, 404.79297331685717, 405.0296361280412, 405.18829866143972, 406.00835433342922, 407.4253324430212, 407.66032229989941, 409.60194862044511, 411.18389998637724, 413.54366978652757, 414.12875500489531, 415.98195328084813, 416.84027255745849, 417.20014200777314, 417.2490029339728, 417.8463896239594, 418.36782916804157, 418.48963013267115, 418.84434847974455, 418.96746237448116, 420.76614762705583, 422.17603029697028, 422.20631613162118, 422.4786857101725, 423.45176808111341, 424.74750756187183, 427.19676322209256, 427.52714497680029, 428.57033259892467, 428.76314040719399, 430.44726031253253, 430.62350302852428, 430.98905067300251, 432.84302689922714, 435.04253766619297, 438.50726095275786, 439.80278543412328, 439.95203115807124, 444.0033024698642, 444.68957430670241, 445.2531884316457, 445.49004326146849, 447.38146025042715, 448.58957357863881, 448.97943075571419, 449.16961434298605, 449.53922031705338, 451.79543646006687, 452.32201773791115, 453.92836687328145, 454.87083535614369, 455.29376004770251, 456.90083866920082, 459.1875707404065, 459.49233644243242, 461.53596576736271, 462.7173273573656, 464.1200156552012, 465.53750803199165, 466.71494875392227, 466.80429678200028, 471.85573058080786, 475.5139897091691, 477.27180498708645, 478.36066110267336, 478.72251245704672, 479.4420863706153, 483.55662052766337, 485.16284080094931, 485.75227461850767, 486.36624000746946, 487.01613775941451, 487.72870500419083, 490.58453877611458, 491.1855398888523, 491.36962247529823, 491.60436694466011, 492.40597611513715, 492.44326883589412, 493.30711341879021, 497.57255679647761, 497.89209026645261, 501.17885759396972, 502.81749146342509, 503.42021985731549, 504.34228811664605, 504.84740304474587, 505.10259753338528, 507.84300550787719, 508.14223371719993, 509.32792630079643, 510.79985988395123, 511.04042978016651, 511.47054185197044, 511.56759344346574, 514.71201474838085, 514.99472533752112, 515.66501315331425, 516.65537057651693, 519.71543767219384, 519.83088601884822, 520.07721867922953, 521.45099632226834, 521.7361367742692, 522.68525924614721, 523.62512706342579, 523.95789767334827, 528.41077574747328, 528.70994765752346, 529.54788621749049, 530.75059737521337, 531.26885853750161, 531.46749385557712, 531.68101011114186, 531.98911339989172, 532.16815107974253, 533.38654461616659, 534.38065917501297, 536.1247011101683, 536.27817536386021, 536.74773724050942, 539.08951036336816, 539.57021017543673, 540.16848305707379, 541.06458484430777, 541.63804433302039, 543.33033688846319, 543.73606991122256, 544.53356948708904, 545.47703434584446, 547.17391173913904, 547.6886129047241, 548.83255159082034, 549.76758176393014, 550.53609231192343, 552.27474320245142, 552.39045529170858, 553.321051388976, 553.60441101084518, 553.65672910464309, 554.27486860877855, 554.93449282134759, 557.32889658360432, 558.09420476110199, 559.53071006531923, 561.20670923358546, 562.54007462881043, 562.65271901955737, 563.46575832316091, 563.5384114499625, 564.19077156876017, 566.02681222442163, 566.21919683944634, 567.16261861445969, 567.55476812804216, 568.49252883531506, 570.4845203738779, 572.90412781813131, 573.31995602338975, 573.99376765681222, 574.13938101723784, 574.32396754872298, 576.90260422950678, 578.02827948060587, 580.12704027513269, 580.34332274518772, 581.57956244315312, 582.90259409246335, 583.63385655186426, 583.89610659644188, 584.33579407520767, 585.90460630955613, 586.45016223988762, 586.92159121146312, 587.20034178840046, 587.77701828216698, 588.88853389674603, 589.64100242010136, 590.11201532474206, 590.5749028830196, 591.19813994785363, 591.89692836799509, 593.8036531167437, 594.19452567248186, 596.43641499807507, 596.91065183322996, 597.71358904335182, 598.17745751142616, 599.45793809197812, 600.92996414704839, 600.97887914647254, 601.21684478178622, 602.88974000490953, 603.4460061285663, 604.20579055665746, 604.55413353456686, 608.66813217606091, 608.73183176864575, 609.53621909015828, 610.23733661182882, 610.5608361640567, 610.6628053144442, 611.90658202018437, 612.31097218084085, 613.02289134380715, 614.4990025185682, 616.8463993360956, 617.35126502195112, 617.4990543284506, 617.93369620065846, 618.68377620668673, 618.78730734579165, 619.54492045200016, 621.94218886794761, 622.47826697379105, 622.9941849252192, 624.21297839615659, 625.89244706189265, 627.87453062279633, 628.95547782093206, 629.88205773255777, 629.98109003982211, 631.09998617350345, 631.57097845729936, 632.11222963192779, 632.22096848217734, 632.43486272606935, 632.51154877782153, 632.92346672047711, 633.93766807692953, 638.39230184138546, 639.95566335027752, 640.64651276028269, 641.9515429795573, 641.97413026230754, 642.16457992425705, 642.3523229044514, 643.33579515411077, 643.63232389693144, 643.96474729578267, 644.83097189732086, 645.12848447582837, 645.18120924589789, 645.85715557600872, 647.4167251470343, 648.37827011458364, 648.57977183962657, 649.12649032533125, 651.0190883826682, 651.35246446661745, 654.31630300525467, 654.33710461588203, 654.64653385345503, 655.48348539006929, 656.52397359437987, 657.14106319494147, 658.64153263737057, 660.91438233647523, 664.27038728897764, 664.36592645913242, 665.48447049182687, 666.56013084951678, 668.434573505461, 670.61983349230854, 671.58476850960199, 672.16125846002296, 672.72368509532646, 673.13473101397608, 675.02232277380551, 675.93631188174822, 676.22531615912021, 676.53204834055725, 677.19189370476477, 678.79711000109342, 679.47905911361386, 679.5972239977192, 679.71002311430948, 681.03769769520318, 682.07826676226489, 682.51507047822906, 682.91373209905646, 684.24255291619477, 684.26584185628508, 685.96908609157992, 687.38559616116754, 687.49653823128256, 689.76147846315837, 690.33912116764884, 690.38226315470558, 690.60532086807643, 690.72270337504551, 690.95903836153127, 691.14116698617431, 691.29453069010253, 694.34836212311507, 695.53838592767704, 695.9623417217839, 696.65900226158817, 697.05463201096768, 699.75214637178385, 700.97667276555978, 701.95833262739154, 702.00114533580654, 704.05321733764072, 704.19097391916455, 704.6668394489559, 709.12227135393971, 709.53545302702946, 712.44326963694925, 712.72646681648314, 713.00958485056469, 713.2847449339173, 716.56692170107272, 716.94403120145455, 719.06921261992807, 721.01833438179005, 721.13774108022199, 721.35243711807243, 721.89741757364459, 722.9711027049924, 723.84786200297629, 724.37150502049371, 724.39318217268624, 725.24459922381777, 725.65127887522272, 726.11128829826202, 727.19500617605195, 727.33842322669875, 727.40042821014231, 727.80568709297029, 729.49549020434449, 729.7879838117758, 730.46854607037665, 731.76471524304475, 732.08004408061811, 732.85123160508181, 734.07141810711812, 734.4637992462267, 735.51025865350528, 736.20796174702537, 738.13908977157212, 738.9393807127542, 739.00088143169774, 739.65463555220401, 740.94360890249743, 742.1590776876435, 742.8436166206576, 743.0160303546121, 743.17538277866811, 744.36478726521227, 744.52212192350737, 746.33949141877349, 748.87279012031991, 749.36143325460432, 750.02106238998715, 751.56141541567513, 751.81894202353067, 753.60203839249743, 753.92378203835506, 754.51344600384948, 754.764044093591, 754.79737348250319, 755.0671979418513, 756.04935638362133, 756.36203954298605, 757.22307556476528, 757.74445301500975, 758.04209641401894, 759.69722622511654, 760.29703633084944, 761.70243578839802, 761.90208365232297, 762.38919133360366, 763.62978321104777, 767.06857285900628, 769.12335015942347, 769.93003526645884, 770.16389391806388, 770.22424326582211, 770.90220401477779, 774.14919934539967, 776.01061744359595, 776.33119025399674, 777.99664599530809, 778.28273185482544, 780.54103979546892, 783.7141814277918, 785.96036536468375, 788.36028334213495, 790.50966637191436, 791.089278934866, 793.49769231611106, 795.93857867088605, 796.70980063788511, 796.91342525277094, 797.32910143198387, 798.3506794498785, 798.7395644074187, 799.37998856903425, 800.03368000389548, 802.13766697220728, 804.49882503610934, 804.52409458812747, 804.6326090202881, 805.50847247550973, 807.99589531097615, 811.10400734592122, 812.2316265632013, 812.76691981815497, 813.22503270120785, 813.6832671746638, 814.67392134637873, 815.55105303629148, 817.11422606153167, 817.52778201004799, 818.7206401452944, 819.23415102360138, 820.67924411824004, 825.3474407868606, 825.62893750908506, 826.20113672830689, 826.46557433314888, 826.7037221429722, 827.37844660589735, 827.82235532852462, 828.29982430967186, 829.0860122594205, 829.24005752395317, 830.16005868518755, 830.20186136669849, 830.49024373631005, 830.74961440807374, 830.86794056679673, 831.11250163162538, 831.66986342208736, 831.76992163494367, 833.01066102516415, 833.14427790924833, 834.21524014898205, 836.78151852620772, 837.52069631024756, 838.39677305513624, 839.14974741437845, 839.43166857370977, 839.83587619372565, 840.23680679655172, 843.38405687264685, 843.57026648030615, 843.92670801941631, 844.91318384747262, 845.10243692897518, 845.7324878856632, 846.07915837933695, 848.46250635962951, 849.88923292102254, 851.18518356404365, 852.01390988854666, 856.55323449403147, 860.37831186195808, 860.9213099047364, 863.80623701497177, 865.04303401742163, 866.02319210924441, 866.28424438029776, 866.37238689944593, 867.23412034953515, 869.98099207192683, 870.27071609475524, 871.78457242884338, 872.21372424159847, 873.07069771015836, 873.46179661749647, 876.68536182212972, 878.14283866182654, 880.47281970593735, 881.0785586983186, 881.22754969971334, 881.49299742710707, 882.24674046095765, 883.5124817377274, 885.28882411082088, 886.70318708182913, 888.5533481431678, 889.13476672697186, 889.24167224046118, 892.38994141481396, 892.72031992553798, 894.8855769791212, 895.154598906243, 897.00877719297137, 897.38669614300363, 898.00810626344139, 898.85772182226924, 900.25795939719467, 900.97239043731656, 902.83205661521401, 905.17141942544424, 905.25701646960522, 905.44431246993213, 906.22716444770674, 906.58690825721419, 907.1661261355755, 907.452961306779, 907.90867407804842, 907.93712923739622, 908.08748870869101, 910.32282108252605, 910.63749747907536, 911.16392582022718, 913.13795056847141, 913.31626754365118, 913.51819956702229, 913.6271655938981, 915.56104255344485, 915.71826465438255, 919.28904327094733, 919.5500838067079, 920.25959243933926, 920.91547551807082, 921.1115950502118, 922.45278890603538, 922.67629044592024, 922.90740917080757, 923.05414418970895, 923.66308360185747, 924.04391013078384, 924.73383734208664, 926.07873663771181, 926.24198789163609, 928.72084133813678, 928.76417841739635, 928.91975159917661, 932.23590872438058, 933.68060092703547, 935.75764953131807, 936.08519516401748, 937.08833523632291, 939.38204140724872, 940.12588863482756, 940.31385310284486, 940.46330453331586, 940.58464637830707, 941.63001935246746, 941.67127702499647, 942.54616672913573, 942.71297294340252, 943.67725391284398, 943.86706881170994, 945.25915422079242, 945.74313558745359, 945.82716196937679, 946.58801794019143, 946.64357458572533, 947.25790127956691, 947.5428685691013, 948.14613009658865, 948.77436892439096, 952.02319301991429, 953.3470491439125, 953.859641703497, 954.02105563578266, 954.29568531523182, 954.8282089559583, 955.0474339320466, 955.16725764318687, 955.21181733578726, 955.68074744239482, 955.72405503168909, 956.33052583454514, 958.21570392027127, 958.37620969401064, 958.75731583756715, 958.90824622027333, 959.22155141478731, 961.25606235807209, 961.65479865564032, 961.71452836924198, 962.4211721017474, 963.53591623206501, 963.93781947214961, 964.20783373330289, 964.25808675684004, 967.37353964719853, 967.46506312049962, 968.45154921941923, 968.67984105282221, 969.43220847658495, 969.63988855366699, 970.82490129456062, 971.09494821347914, 975.33512192401349, 977.2371809220075, 978.48275555259841, 978.67177942347041, 980.33968286078175, 981.46630110271531, 981.52247164610014, 981.70274051081833, 983.11794293099672, 984.18246994492665, 984.21309912264462, 984.57942739131101, 988.89155150367958, 991.90326238317937, 993.08348235379162, 994.16745022323346, 995.06437845835546, 995.62917006073576, 998.28827291626453, 1000.1858353262322]),array([64.096699126921081, 66.598667137382989, 66.744837299898819, 68.683710212438058, 69.290366151864717, 69.747240099660189, 71.730145811972861, 73.031881172718812, 73.1156423733119, 73.951465562124525, 74.254877088722239, 75.061893467367199, 76.315149476842905, 76.345826752806616, 76.926944494742116, 77.297685177656888, 78.770364447960304, 80.651398815812527, 82.077862450300302, 82.395619404620021, 83.157814190216257, 84.210735914232913, 85.08117034078488, 85.492910243347595, 87.498459566584941, 87.922308695731402, 88.487807397944181, 88.94051731479658, 89.035059091360793, 90.146073110212583, 90.899494997932607, 93.334268471903243, 93.768581006433664, 94.130363264724281, 94.809441434222563, 94.920397527136927, 95.05250235663317, 95.55131632741886, 95.611651641358847, 96.358441134183437, 97.046081598692183, 99.513112329834868, 100.32252242247874, 100.37222113242598, 100.81992181683925, 101.59598514175018, 102.7704057392296, 107.04383707275854, 107.0668820261031, 109.14701740771552, 110.55679232455513, 111.36401967413099, 113.49701705638692, 116.10316548026623, 116.60982417628897, 116.99971118212858, 118.53218090363771, 118.66155125669901, 118.7342315685152, 119.55943672452565, 120.38121006601978, 122.82698089116778, 123.55775107723041, 124.49078298884247, 124.75407141873798, 126.15386005950107, 126.33553105862717, 126.79936704015989, 128.29648375455605, 128.55520866255256, 128.99375159288132, 129.84775778766141, 130.72562902851422, 132.04019051733155, 132.76692977962438, 133.05088497953207, 133.27686905721805, 134.64916958323661, 134.83301821447932, 135.55863887336088, 137.71096931149978, 138.10828532672366, 140.06225729909792, 140.49945503177918, 141.04395781858224, 141.42612588132795, 142.33695478492294, 144.88755721933146, 148.48948976381453, 149.89412090672116, 150.32642558450024, 152.45240657834259, 152.541523249032, 153.20945666861351, 154.74616260166442, 157.82194749631472, 160.82336288817513, 163.91945085049827, 165.25402534001765, 169.73186656082964, 173.20222701035209, 174.11487188498694, 175.7088894310013, 176.97860678011932, 177.26174774268083, 179.36442052487848, 180.59698541902711, 181.0058420673017, 181.81197116595624, 183.62737227135003, 186.10159692939408, 187.76229796274416, 187.90132281795681, 188.02477734457037, 188.2451716135858, 190.07866034385421, 190.67064449731618, 191.10324216231405, 191.18565851427562, 191.5889763420268, 192.0663274828259, 192.1815338933371, 193.67775221979818, 193.73839454325534, 193.80398362730003, 194.49551833752176, 194.79981022045547, 195.43622497397365, 196.03214953804047, 196.63547350837311, 197.32792128907678, 197.75373522319077, 198.58809172153948, 200.14121081465444, 200.73922469306214, 201.78651564873752, 206.82443895882957, 206.9592053745146, 207.59772696900214, 209.92856406072551, 213.99383109948258, 214.27570397176748, 215.24743594213891, 216.01242451921499, 216.08806866859268, 216.75740312109389, 218.23001277355712, 218.81211512707091, 219.32486914040766, 219.43902932630346, 221.26151120471661, 222.84844417872185, 227.11236094302132, 229.77814009499536, 230.42174212117487, 230.95010157471319, 231.10477024226333, 231.15153903370407, 232.28175349623177, 234.4868136723104, 234.94075015841949, 236.06016516882849, 236.82870638771473, 237.1864652013287, 237.21445512879257, 237.86408907817403, 238.82245842695838, 240.74145493500626, 241.218310638552, 241.79033025865746, 242.22574750499109, 242.62963497271033, 242.65928830394387, 244.03767469564593, 244.51038149719699, 245.44101241472052, 246.38082693620862, 249.18070469693913, 250.23152516810384, 250.64993603475185, 250.70644844125232, 251.82563202161623, 253.25112046826919, 254.02001400427616, 258.5798673460144, 259.68977712368513, 259.97552971380935, 261.24637027635515, 261.60206964785709, 261.62425460968586, 263.94471259826389, 266.74864188700457, 267.95607050994772, 268.55919917518503, 268.60405448904169, 269.83897996570346, 270.40679870724978, 271.71499235101231, 273.09737346737637, 274.22685244796935, 274.33271803108488, 275.92689731288459, 276.29691961321396, 277.20898132656197, 278.86365952812332, 279.98878639876148, 281.25746061809423, 281.54195225431624, 281.70112245456255, 281.91905509281264, 283.501314527989, 284.63248360335746, 285.99591140293973, 288.48279608805967, 289.8542500245531, 290.60748625657237, 291.083659814425, 291.34940160860219, 291.4572785926805, 291.73896268777446, 292.45001311182551, 293.17802483162853, 295.88090477462771, 298.16975408743997, 300.0915509299461, 301.85479856500871, 302.57122047743593, 303.23789354283372, 304.42098206558614, 305.4300790233612, 306.09273986905623, 306.70666511259077, 306.77091066620511, 308.67102434974885, 309.43030213233556, 309.56453623955736, 310.27854227334831, 311.04384814151581, 311.4670302671621, 313.00702837164147, 314.71005194347788, 317.05436374162122, 320.19480082582635, 320.22185353259965, 320.26672459755451, 320.45874449789665, 320.54544930373527, 321.23857693979335, 321.66649842972924, 324.14738969053474, 326.67641994401174, 327.18116633552398, 327.23984547310681, 327.62343628459951, 327.70000602895669, 328.18413166614914, 328.30064878490805, 328.45283415540496, 328.56941994919458, 329.54209760001356, 329.78167642029939, 330.75944467342453, 335.69382077522118, 335.88023148816217, 337.5996476399074, 338.01439234058029, 338.43156715804315, 339.01492768892399, 340.15718871206201, 340.49310203456275, 340.61031556915287, 341.12582972684322, 341.21433495438583, 341.55708060870074, 342.24852855885871, 344.19841782802786, 345.63456111263088, 347.85419546868332, 348.62251439075965, 349.56600488263337, 350.17416319007077, 352.17814583366123, 353.48569721105702, 353.99998811785315, 354.55369244676234, 355.53042122496515, 357.22990612649994, 358.18138272010668, 361.66667516053553, 365.23663666417616, 365.5374967027592, 368.11622698088047, 369.40675288212799, 369.56131457252047, 371.06882049533442, 372.9581205353785, 375.38025119355262, 375.78041321086346, 376.24465328070943, 376.95476358311993, 377.39448124196622, 377.83944955300393, 378.42285286665117, 381.11229337048536, 382.10068423181121, 382.26161558418812, 382.65386335670956, 382.95394032125552, 384.01162097229337, 384.15082739934201, 384.74361678770828, 385.01127059162633, 385.86853641300218, 386.97568047394788, 388.31242635525092, 389.4445142977919, 389.85418614655185, 390.442904499691, 391.32720503780689, 394.1009806282712, 394.34017465621514, 394.47568842478876, 395.43767939247624, 397.64472283095358, 398.06597671233834, 398.13524217272845, 398.99321660478864, 400.1409090716358, 401.16707585766801, 401.41778681722212, 401.57488474639769, 401.66570840551583, 402.12537372529846, 402.94630515209241, 403.1948104710529, 407.01689130262838, 407.79117406195303, 408.30150004988769, 408.85861991396632, 409.48644671800798, 410.68271268684674, 411.65838488364847, 414.13963282959571, 415.71662904896107, 416.03820915627148, 416.48154944147939, 417.23910272154478, 423.75737572966477, 423.78184833293471, 424.77330261898476, 424.9915240778227, 425.01767751350422, 426.65577127423461, 427.05160758983612, 427.09101090863044, 427.42135112930328, 428.18517338564777, 429.3648667782802, 431.33590728647687, 433.00528849683951, 435.00172756599858, 435.21277808247385, 437.06452930006566, 437.92110536476486, 438.37538545883717, 438.75630704148477, 440.19044084121356, 440.24124202522938, 441.76682106821733, 441.95061111139887, 442.55849153424492, 442.85946154719704, 444.58487589056813, 446.64521300110721, 447.27343252037537, 447.7734546692493, 450.6077055928339, 453.72988797338718, 454.81999510532518, 455.54530468845707, 455.70863641418578, 456.64613086328097, 458.52325165418608, 462.1552203018536, 463.07838678210197, 463.92572414951343, 464.77461883663125, 467.15106314466362, 467.72580395222406, 468.71372668052533, 470.46667343517692, 472.2251548896204, 472.45692129507552, 472.74557831216043, 472.84278905019187, 474.52513815100667, 475.63333961601643, 475.94289030657751, 475.97681008564143, 476.92581811879882, 479.22164878174084, 480.78512828778497, 482.54627648387873, 482.58813746833152, 483.38461704191684, 485.13286409349178, 486.74207428954963, 488.20584351023808, 489.36721952616699, 489.83399450052758, 490.59556710637378, 491.82292954413884, 491.95928803186126, 493.46116237619373, 494.08405433079571, 495.79280761784895, 496.7627321345139, 497.48813713234472, 497.64574640101824, 498.26807564540081, 499.07325002029944, 499.89968381356726, 505.71610801803979, 506.59285273449763, 508.59634002426623, 508.69259283219839, 509.89562581439623, 510.51676399812197, 511.46863497990989, 511.72356269967366, 512.07884297497208, 513.30924213968387, 513.64733259992079, 513.80875043063611, 515.16170534040577, 515.30142720766469, 515.72862710191441, 516.46534092003708, 519.34781824377546, 520.91198114007057, 521.44750322667403, 523.67485813718224, 524.19147842483312, 526.56726355112278, 526.74002531494466, 527.52443005955922, 529.9924949252943, 530.06691879993843, 533.50694073302009, 534.31544572710516, 535.90651348557105, 537.08394794568085, 537.96850743423965, 539.04054567202695, 539.98969497229757, 541.19111152012852, 541.26028601875623, 542.10219416791824, 542.87612353698751, 543.30140229878475, 544.16212038255685, 544.4093949797259, 544.68326303079618, 544.71457704316447, 544.90289376557473, 545.04879805697601, 547.81161884364235, 548.77456704924134, 548.9689480108168, 549.38142466452587, 549.46721233376275, 549.81104705435314, 551.08479690544561, 551.99059046946559, 554.2192484999332, 556.68409597278185, 558.8466201150178, 560.3773452972157, 560.50547950895304, 560.80278663763329, 562.6514166654905, 562.73443065255265, 563.0375063990432, 565.46429268636734, 565.87468195775011, 566.20036319094413, 568.38315869520841, 569.5355749558961, 569.61949464822885, 570.72225589064715, 572.0901371671323, 572.35679153501349, 572.77299284286096, 573.81493667376174, 576.03669334261451, 576.3807840202046, 580.4555811706972, 581.20593499903157, 584.42747994196941, 587.87197808420797, 588.34339349317213, 589.13864903832496, 589.32076380976071, 590.15971942869498, 590.62209090148895, 591.84266685729267, 593.66207272345287, 593.76139403539958, 595.571106247393, 597.53102494612995, 599.51749291909005, 601.52894251637713, 602.55543239220515, 603.42980244515957, 604.98478801365945, 605.38265093977134, 606.29113477775604, 607.33504169015112, 608.55103227258803, 608.87976952890847, 609.1023449248986, 610.94832067928826, 613.78370409220474, 615.9902907229075, 616.91959126020015, 617.17593252723793, 617.31865079338013, 619.55914201962025, 620.43511271248474, 620.50030308957457, 621.47684455465424, 621.99830427643974, 622.48376673569123, 623.84552775805071, 629.03471512711167, 629.95626269153377, 630.09521500485323, 630.36738605137953, 632.40642907126141, 633.46991628211163, 633.76401864349043, 634.06948250197877, 635.8380048294697, 637.05060265795214, 637.6666960708535, 638.34022478303211, 640.66231061039423, 642.23789919739659, 642.54701442560372, 642.73799407184322, 643.64166384226996, 644.97708314555177, 645.15936372375802, 646.02343992448664, 646.54969547805706, 647.48687715037306, 647.90551167233116, 649.19286269034137, 652.7446137758335, 654.31456647507207, 654.478294953469, 655.11516014627171, 655.62065006901355, 656.11211318078426, 656.20274921264229, 657.68652471621306, 657.71452382641007, 658.04690079842067, 658.88794427816015, 659.61537900656845, 660.86684512894658, 661.05639869571826, 661.59220312821606, 661.71423976041444, 661.829721006309, 662.36392509396319, 663.36988867840637, 665.29289689726977, 666.17248458520635, 668.61389620344687, 671.53289223484626, 671.56196740771054, 672.66807972272647, 673.59593984780577, 675.72267006233483, 676.235158374511, 678.32712431776622, 679.55744776985182, 681.1401071083302, 681.28195550909641, 685.50683529076082, 686.7223779988891, 690.18212003263943, 690.54120008277994, 690.94912651523293, 691.07941873814787, 692.19350950258934, 693.24616971620253, 694.15314297538441, 694.78957998982958, 694.81695709609039, 695.15632540016043, 696.88825548073282, 697.12916496655146, 698.14970537222302, 698.43093080392237, 698.54842501106953, 699.48584832441327, 701.35332625782974, 702.78891418073681, 703.31057354948882, 705.16683419612082, 705.96860409019098, 706.2150650090831, 706.90159254409502, 707.0880734859893, 710.38373163297229, 710.57397060462188, 710.81508838451816, 711.63845968751821, 714.91008940277027, 715.95899728134043, 716.56335438576116, 718.11927899994907, 719.6544150913669, 722.52728527742568, 722.89948970981447, 722.96076344366827, 723.48845265172042, 724.02994753147448, 724.09765075762164, 724.24175664028212, 725.47904879466751, 726.52347103973182, 726.56036378799729, 727.07017328245104, 727.33008278076386, 728.13486359720571, 729.07989028230918, 731.04191149437861, 733.77457665542579, 734.1598392342795, 734.38528040525421, 735.13871163685155, 736.58796604308009, 736.93555356037655, 737.9155740393677, 738.10657528743218, 738.79347959575489, 741.30546838069756, 741.58405418186589, 741.66230285074755, 743.52321678246665, 743.5960499229576, 743.85670693318696, 744.1867568695202, 745.01885430521793, 746.05195358254525, 747.33359509815693, 750.42258520712244, 751.53929253978833, 752.44829639793738, 752.96651731814029, 756.81461585901468, 757.45871827677331, 758.95261637496139, 759.92024028382991, 763.77115505053018, 765.57824890991537, 767.37075126687375, 767.64232095440252, 768.45876384000155, 769.56506503991227, 770.33550717509365, 774.18742875596104, 774.47706526527952, 774.78978709173339, 775.43965679708924, 777.13020023844558, 777.70210082136941, 778.46193846744393, 779.08774920312601, 781.24395151249564, 781.50219669685873, 781.71066856568086, 783.97675151570047, 784.93590001596749, 785.37064277447075, 786.45491053295211, 786.7176139340628, 787.21428028244929, 788.88227981583657, 789.39881398629871, 789.67541941259958, 789.99843776662635, 790.65148181442521, 792.58069121569747, 794.1990915779171, 794.62212209527843, 794.64691546455572, 794.97810161504913, 795.41930367758459, 795.85337395497857, 796.54491823552075, 796.88798838645744, 798.62157000308991, 798.83333272052812, 799.69463025877496, 800.33344127050054, 801.35392405102846, 802.9903418081575, 803.49656419844735, 803.86851110065311, 804.72634749779786, 805.09860788881826, 806.84297732940956, 806.97153703630011, 807.50612571473005, 807.90666097215478, 809.00249316084262, 809.42587180018791, 810.07992670194994, 810.73828362174879, 812.29144264394142, 812.95669674111923, 813.92919332578583, 814.12222051729282, 816.77160855256261, 817.37314885279625, 818.35667797196118, 819.80677530078424, 820.22065398839709, 820.93909534044371, 820.98969992162165, 822.08440034997841, 825.38056519379734, 826.0701880373955, 826.59615766934439, 828.19637215089119, 828.62886714454169, 828.73067749037, 830.98325039621943, 831.06349551021424, 832.71089215017173, 832.81309792473633, 835.12569779694854, 835.18961131377898, 836.05987342309891, 836.45393804228934, 836.68308152637155, 838.44623926083807, 838.58376209410358, 838.81846135861736, 839.08916743990744, 839.19431951823992, 839.3813115436825, 840.91143430856914, 840.97477708891506, 842.81078051157078, 843.84362419132344, 843.87018485816179, 844.08118595234112, 844.76641959650237, 845.90110255111699, 846.0043052274624, 846.34561694864419, 846.37850416156311, 846.4131382696562, 848.23917094985836, 850.67337568280595, 850.80186086672359, 852.57637465420112, 852.79309515142359, 853.24464058137073, 853.47162664966925, 857.06211692624083, 860.37366487539441, 861.05457610191036, 861.34647690875408, 862.21632644943361, 864.6713397657843, 865.0372345813231, 865.65165969428176, 866.43685873385391, 866.86832100272477, 867.93356279588807, 868.39469113173936, 868.787439667321, 868.87229462689936, 869.22646799963093, 870.11188809451755, 870.5387234512142, 871.68540916964059, 872.37836998352304, 872.49132502406985, 874.52795466112434, 878.10618127803116, 878.97608683107978, 880.4301161785213, 883.61401045079981, 883.96300227446704, 884.13700888773587, 885.95309297971585, 887.98669814903235, 888.00753530203178, 891.01517237970938, 892.23875612876282, 892.99244015870977, 894.27256777714445, 894.41896445241866, 895.05830142116668, 896.48315841966439, 896.79613239945888, 897.69613699330432, 898.68802553503428, 899.08211197484752, 901.08590972214768, 903.54596573773097, 905.27501228041376, 905.52680170872407, 905.94704777848824, 906.3805641164671, 906.82495419943916, 906.94875392287781, 907.81866020221798, 907.87802279137009, 908.71718932119518, 910.94027299147194, 911.02304215156084, 913.74333965156336, 914.97781901092753, 915.37850389140112, 915.85456534130117, 916.80401417922371, 917.03291837102597, 918.52031860937836, 919.39343965851845, 920.30845016931426, 920.53825275144743, 921.52127890385441, 922.83083429870487, 924.23585056549825, 924.79220825280436, 926.15497657533797, 927.17583633823176, 927.41023839535319, 927.57158757755678, 927.92198052968695, 929.1522191601116, 929.78174105324013, 930.40550678375678, 931.29002327666296, 932.50175482496843, 933.67632380507894, 935.20095728820161, 935.341549229414, 935.81212756164643, 935.86478654209975, 938.8993992295616, 942.15147233005086, 942.51512755943372, 943.17847636758052, 943.62982956187125, 944.25900360053481, 945.21695165801623, 947.42288608486831, 949.17650287469542, 949.73470977069405, 950.94159476567563, 954.17641733867856, 954.54066115408693, 954.7038638177371, 956.08890802655696, 958.43375451970701, 958.71377897391255, 960.61178858915594, 960.73298656089617, 962.80523689321819, 964.44404522926891, 964.68409595129253, 966.39005565623984, 966.98141820775663, 968.31912350275445, 968.42666835830812, 969.25256670143642, 969.98246922498902, 971.73037337574124, 971.75132978050078, 973.52720230497528, 974.7402525955913, 974.87190393602498, 975.21996972086879, 975.81548094763036, 977.20267392832966, 979.52788689643887, 980.70146252344682, 981.14453918935021, 981.78795258527987, 982.62569156529128, 982.80281083636362, 983.17481966844582, 983.2774647343291, 983.71420867057998, 984.13078724850038, 985.04750354962209, 986.97631043819035, 988.86246389251914, 988.90984154495766, 989.31000908252406, 989.68650003690243, 989.89943553980459, 990.09903269113499, 990.56275233750478, 991.19450163615647, 994.6587133782981, 994.72594027687433, 996.7929267170731, 997.46469331949402, 1000.6058993371699]),array([52.772441171813831, 53.453284483980582, 53.640996916944573, 53.916465639606947, 54.692392048663983, 56.592110436765239, 56.717816197141111, 58.319817881217034, 59.327934020770165, 59.949442816954985, 60.820875359445338, 61.049673258370682, 62.447279159930162, 63.013936215310686, 65.367487630652136, 65.443422342597046, 68.09516723159166, 68.417614181378255, 70.606143190401937, 71.785930561052751, 72.609865041505998, 73.926636201788781, 76.711309100505545, 76.8268340906953, 77.20068314649491, 77.546252704913741, 78.703420447946399, 79.985045553107256, 80.09339845722063, 80.870464529230972, 81.465815148299242, 82.637110467723929, 85.416958866982156, 87.839369596294489, 88.073541945915466, 88.226485662714907, 88.415434569719181, 88.500778657877419, 88.866679136708541, 89.601567147886882, 90.365654837318687, 93.253254120446414, 93.316244029210537, 94.47280911780858, 95.616035801780995, 96.648108949621857, 96.724395370602622, 97.427459332095353, 99.005454165779611, 99.966859960428806, 100.19077603166525, 104.14835149580175, 104.36810904609676, 105.19449412303717, 105.53667557690672, 106.74115977711352, 107.99728280927778, 109.34555507219794, 109.84423398031737, 110.7931379929107, 112.62429544888387, 112.88687500628502, 113.26794037256241, 113.56524138268928, 114.71616483138905, 116.59069104418073, 117.83493685898085, 118.60312478633406, 118.89937712524731, 120.07231700236966, 122.53582336983564, 123.99968588493608, 126.93131441521244, 127.14053873974228, 127.48034320452096, 128.51476865678194, 130.75956320939559, 132.84074340538913, 134.89240311477218, 135.59358263785973, 137.17462044614888, 138.24960125418568, 139.63267075655159, 141.18591581372553, 142.77373413919307, 144.21892533768764, 145.46645132014004, 146.11706732106745, 146.33488492809946, 146.75751214642378, 146.86397057604546, 147.10636708768806, 148.34529938899368, 149.17075510815206, 149.9849066688883, 151.01688553753269, 152.39648298588855, 152.74430348436266, 154.77257954045072, 155.25253780862593, 155.73039615260484, 156.53377149053162, 156.56030785892443, 158.09654900483451, 158.37786425674793, 162.16115010928883, 162.57214346964091, 162.90093086645024, 162.96014283362356, 163.4990959776427, 164.45386814343476, 164.62369142150382, 165.1453566720414, 165.99454534088699, 166.2505889824607, 166.97447130747909, 167.8806776488502, 168.24740747749766, 168.62359601431217, 170.18652272775708, 170.5166956756311, 171.92582975099927, 174.87069683749516, 175.32217076425195, 176.01396644236422, 177.00779711903812, 177.9166842051919, 179.82669442560228, 180.41315551664027, 183.04599509544914, 184.06046913812074, 186.27776850618309, 189.90706342934772, 190.00665299174301, 190.15515928420132, 190.74732648440906, 193.08051678388017, 193.24054712718524, 194.42231789980582, 195.13255969834069, 197.04145256188534, 198.00230839372188, 199.00267868896427, 199.78715400740896, 200.4908134388487, 200.98942367377325, 203.23836041462491, 204.5207841764348, 205.69513923211204, 206.24737767898961, 207.31056970822169, 210.73871901838203, 211.04846230620279, 211.10619504159644, 212.82345685120799, 213.65100996144881, 214.99512814606632, 215.40701401580964, 215.78903072132923, 215.96680410884736, 218.60977566667151, 218.94994286422497, 218.99263698792467, 219.48019560214135, 220.05882105063506, 220.62740026530744, 221.14764195503793, 223.38874195796262, 223.53873681407416, 224.34713410619835, 224.44125718828511, 224.47701329983309, 225.30077544132692, 226.27060584243264, 227.08904181603359, 228.05670670928572, 229.58398599186498, 229.85876068832405, 230.20947190990944, 230.28764915245483, 230.97964563255115, 232.68352786907636, 232.83648893356278, 233.00807495754432, 234.36719574344139, 234.5606212876377, 238.71714323909808, 239.25657438103829, 239.38801055877497, 239.99462450653107, 241.93225821211507, 242.08519250915919, 243.44484792707811, 243.46909538839819, 243.88080291960725, 244.9241671838648, 245.84192578049809, 246.28529757112321, 246.81551782087215, 247.20581515638381, 248.75308287129874, 249.15927083741332, 249.31452306282782, 249.89751282248585, 251.00804009799418, 251.14190409393115, 251.99708167617618, 254.98394070199146, 255.46577968673085, 257.26127966895922, 258.37798723957951, 258.49184622078076, 259.73558578325361, 259.90117300032568, 259.95182138057936, 260.78125796151477, 260.96463058842892, 263.17670965945644, 263.84772058137304, 267.99334611740323, 268.14368359517283, 268.17947673065919, 269.1690664167395, 270.32258796248283, 273.44964381143228, 274.30361483866005, 277.6577460340219, 277.76635159937916, 279.3932725413228, 280.31995547905694, 280.64112558637663, 281.33691569224254, 284.73628169638732, 285.47647478139493, 286.47447811097737, 287.30625873836129, 288.07342926666473, 288.25243773461955, 288.67467834241626, 291.66808293021734, 292.34742185842651, 293.7492629684823, 297.00412084697501, 297.44318342927841, 298.69073386762011, 299.56228856797082, 299.95820838136751, 300.01390455440202, 300.36058674610928, 301.04614607416192, 301.35498339056312, 302.25505530915103, 302.51191228227248, 303.47167914796279, 303.53760532034624, 303.60672546071459, 303.65945551675503, 304.50336515195721, 304.79388599985157, 304.8673116384407, 307.42306283727538, 307.65221729194258, 308.75017218589801, 309.19734018193759, 310.59531945708312, 311.13780603324795, 311.3473513581834, 313.93483236204878, 314.52631434933028, 314.83150910451207, 315.71369608650508, 317.0463363772306, 317.17255033382912, 321.84778738758729, 322.08398460137266, 322.68554767729074, 323.47773682684556, 323.92828539084877, 324.11705231322469, 324.27801849560132, 325.29544449316597, 326.38747690792587, 327.33865928684054, 328.95863086980927, 329.33079910548628, 331.37688209628215, 331.73238996214189, 332.21564320859483, 332.61317777916935, 334.29247325383801, 334.79590515838146, 335.94465229876147, 336.32074852929645, 337.79918369030452, 338.87344821368953, 339.06880421181677, 339.27378151104978, 340.16157879261289, 341.3364537815051, 343.69843769865577, 344.65843935730487, 345.16050813315928, 345.48601985998965, 345.9669190417975, 347.80479326612402, 348.26191986529665, 348.69474380142742, 349.5617740389954, 350.2931920350635, 350.85339384514509, 353.33286938029249, 355.05385817208821, 356.39486920570994, 357.47897909601778, 357.82356019468193, 358.06313474825106, 358.90888556257647, 359.19236721512465, 359.5562637573978, 360.08354422783594, 360.25543391628474, 360.33037024117948, 362.30216035003144, 362.73956512061892, 364.00258793303112, 364.78284853144191, 365.91024709202281, 367.49840125826933, 367.72127322718814, 369.32220753022602, 370.11031184532357, 370.66107619088388, 371.71727229681358, 371.75113936251859, 373.62674339677659, 374.92089755965929, 375.87442357250882, 378.63998712871512, 379.13627284838617, 380.28370598824688, 380.85044709766322, 382.51304215960312, 385.15884193110122, 385.53767861324434, 385.7811424911593, 386.04472479252365, 386.36992807102035, 388.99282148306838, 390.46202402405515, 390.51024596585273, 392.10428521998637, 393.26550302090459, 395.83304804442173, 396.203748873405, 398.78971632453556, 400.99031824709175, 401.80684498212418, 402.11246745239123, 402.33092041678356, 403.8903390834634, 407.05671051594169, 407.67783133091854, 407.72442103403682, 411.12591692540894, 412.2986638271658, 413.03294186416281, 413.18233269554122, 415.1071649517063, 417.20986468579457, 417.40223289854328, 419.62500057372739, 421.1594450995085, 422.24576133024129, 422.56155829315315, 423.22952967623405, 423.27294094910121, 423.8714943726913, 423.93491269955132, 425.92108893657422, 429.32084036972157, 430.21171758644715, 430.25793631589335, 431.28133360794703, 431.73335991709706, 431.87474251144408, 432.58363468923005, 433.50548181965581, 433.96920622323063, 434.36159085260806, 436.59032750295955, 437.64101335193692, 439.14739884450864, 440.38786308055177, 440.53980584417667, 440.77169696107609, 442.09841558464461, 442.11933012942211, 442.89536386316968, 443.2802467092144, 443.62483820003399, 443.74006837501008, 445.3958011163366, 446.1995506284602, 451.32212742235157, 452.82757292209777, 453.10131747150939, 455.21146679565129, 456.16884069083261, 456.5098670199755, 456.8382340001678, 457.5810003186146, 458.0383443566534, 458.52442000551025, 458.9532332095543, 459.2988392142272, 460.40548099349235, 461.4193715413715, 461.44539997576777, 461.70719871357386, 462.14498105722168, 462.32516752692419, 462.78575195540049, 463.96354884597702, 464.87026585356756, 465.48420842596823, 465.88463775975072, 466.09846216380885, 466.34772393070915, 469.48753164041932, 470.294773900802, 471.32392806627001, 473.93592559669366, 474.5063106120918, 474.86502919169294, 477.42074759699159, 477.45718224435473, 478.29079446717168, 478.52702521721721, 479.1883514853223, 480.85671040448341, 481.20512295296379, 481.32781761906421, 482.12238502672801, 482.17523111681732, 482.58565393566886, 483.53470698686368, 483.95989292352141, 484.34777685695968, 486.46549021301041, 487.36902007208676, 487.58680557082761, 491.39048910963731, 493.45042855148557, 496.29164198355909, 497.27636582099859, 498.31586381242107, 501.89804940387961, 503.73990774100685, 505.14249669638883, 510.82001023369537, 511.09685426691595, 511.12322428006445, 511.52406277738805, 511.75030118341698, 511.95320110903504, 515.13586941086623, 515.47479433934654, 517.68871059324783, 518.15619359605091, 518.64189724994071, 518.72235853405414, 520.00713572322366, 520.08386560788051, 520.21708695446375, 520.86741031109159, 521.20952773180898, 521.48412469797915, 522.04987715247285, 522.31718657895613, 522.76779993830371, 523.22167105376991, 523.57428902636832, 524.07983639480108, 526.13431379176859, 527.33023743189995, 527.76839071724669, 528.95973497418379, 529.17297410017841, 529.97100800869146, 530.35227337971764, 530.79811862165081, 531.43757513119658, 533.995822978315, 534.76257595781112, 536.77838219215562, 537.22844654047253, 540.1852055641067, 540.22232087178168, 542.00696637184899, 544.12527265521294, 545.78299836783208, 546.40358113809725, 548.11777105815588, 548.25240242003952, 549.76682154630021, 549.93139311533457, 550.47546703135822, 550.91535904168074, 551.94208366707153, 552.93611452190055, 553.11990065614953, 554.28693700816848, 555.59448146977047, 556.18066265437835, 560.15982391427917, 560.50927244104514, 560.94981992335192, 562.09819820244081, 562.32607271402139, 563.27556659889206, 563.67509717064047, 566.61194383529448, 566.68425348587698, 569.50740928047708, 570.18455613025571, 571.35647612966034, 573.85340163143201, 574.15579752348378, 576.66644182767095, 577.47470456533699, 577.75824861549063, 578.28192104486129, 580.52181429586267, 583.32683730608028, 584.12134700370439, 584.17773317098442, 586.58349829373481, 588.52088023878605, 589.67220454552046, 590.43833316656855, 591.06281340073497, 592.56222566362555, 594.04298845488563, 594.52316031455825, 594.90232702840365, 595.98149772368618, 597.43453544817453, 598.3280730289722, 599.8627585342341, 600.74670464967812, 601.15896715605902, 602.53351793579441, 602.95698639587454, 603.08092312432609, 604.70105743003217, 605.56638641637619, 607.37819004938478, 607.94243033969269, 607.98676591373464, 608.18394792233573, 610.32255665629498, 611.50868093570341, 611.98588472153665, 612.24513575924163, 614.62310936968925, 615.16523705302211, 616.59620452473769, 617.4381912811366, 618.08238766828356, 619.67192713376596, 621.06298181281375, 622.83478928156467, 623.24958491703546, 623.88656405046288, 623.95001415820127, 624.05688291089064, 625.65958666668212, 625.86895940421402, 626.32766871803074, 627.95570948072384, 628.98824104718017, 629.10835091943557, 633.66767157743993, 636.22400198350147, 636.52333209797177, 636.60118327978671, 639.58090653995293, 640.60485152039121, 641.00483943459005, 642.53554512228118, 643.36332008711815, 644.75772952373904, 645.45012687658084, 645.79538837817006, 646.30134899609538, 648.89319898405051, 649.31306998125183, 649.45865704123969, 649.64465269105835, 650.75909196908913, 650.93449656478515, 654.41448674509445, 654.71689478632334, 655.68828330096994, 656.1895797279833, 656.73129289506289, 658.67244680362285, 659.18241861434535, 659.59019917929709, 660.08302178980932, 660.32711021242847, 661.39550812854191, 662.53182988994308, 662.56593757154587, 663.11030469391505, 665.04826904810295, 666.56256917060693, 667.33965522429298, 667.87919702483612, 668.72571407640976, 670.17238751433445, 671.42688666165316, 672.9636063871194, 673.60482497390024, 674.65337270405826, 675.81937051220575, 676.23176469190435, 676.68062418084367, 677.69448939718018, 678.1185179530155, 678.9288154780146, 682.70260147240106, 682.84257573110619, 685.16622103423174, 686.72832425679985, 686.93231923667031, 687.35600148505227, 689.43627000242827, 689.5678282351422, 689.80948905061337, 690.26049093263043, 690.62343218684305, 693.19216943096467, 696.26307351349226, 696.94492739007694, 697.50380266361992, 702.27156275089419, 702.7899896120507, 704.90049768034919, 705.28698106058141, 706.39265065979998, 707.66884553275054, 708.12514045528815, 708.31137011769931, 708.34886511740649, 709.01019039693051, 712.81831368428857, 714.42971668796872, 720.39819760942726, 721.68240345538629, 723.97270192833184, 725.42080016604325, 725.88534220434315, 726.02856865242279, 727.66212894019122, 727.74402542785231, 727.95020812390567, 728.20545186237644, 728.66969398171022, 731.04456164970497, 731.98415803762714, 732.49799650306477, 732.9663072684732, 733.15966107380279, 735.02840266689668, 736.82578895148583, 737.43326531754667, 739.39653142357088, 739.44402856478894, 741.40757178237288, 741.74495606943196, 743.23110193218292, 745.8407060777572, 745.96437971503121, 746.65248013078917, 747.24400905102289, 747.26715206500148, 747.66031728296184, 748.81176057533537, 750.00065181674859, 750.09430954466677, 750.54979504026721, 750.85086974696935, 750.98555575942476, 753.05950027010272, 754.46192380592493, 756.52483860570669, 756.74009279969562, 757.21407066303289, 757.49903870027435, 759.26151399900846, 759.95438571401576, 760.5364370511752, 762.18841558785084, 762.44080455978985, 762.64810414040255, 763.17266878852774, 764.2659839611332, 764.37810914748343, 764.72360306491623, 764.84899550680132, 765.14153523113168, 765.49923996709708, 767.45642157558837, 768.78659727103582, 769.11775978974504, 770.31831205347862, 770.5965420338847, 771.43047677178095, 771.78512382778024, 771.97094632443111, 772.91102163980497, 774.34742252108776, 774.826351329315, 774.99423980750919, 775.39551001684163, 775.54439940158727, 777.32548505790396, 777.89637741496722, 778.51874595628215, 780.20528609193036, 780.30158417057623, 780.57340901885493, 780.64450466358392, 781.50466526269531, 781.69812033366657, 781.78036721147225, 781.85192029627058, 783.40500039282654, 784.35936469375781, 784.83318386424378, 786.08472893299711, 792.51272567959677, 793.74912745080883, 793.85362458581551, 794.18333707848262, 795.78409668652796, 796.66881257610521, 797.00962795116129, 799.45226852616918, 803.14452424550132, 804.00997285403662, 804.27092399856258, 804.80238589009605, 805.96841317427868, 806.83995923342525, 807.64520198335492, 810.88025226280422, 812.12407014194673, 812.41682997851922, 813.96177466599022, 816.47917118823477, 816.68186216585798, 816.73651054410425, 818.40196094422413, 819.64462989464812, 820.46897317780076, 823.76440216003937, 824.90780288952988, 825.83317742320401, 829.06898340828764, 830.39293699084897, 831.03003486242346, 832.64695374483017, 833.03459322431581, 833.49591745522025, 835.39625150962206, 837.1509268741346, 837.283334158309, 837.59409776611392, 837.7960456016159, 839.5721958509896, 839.76102406794053, 839.93592461844605, 840.41129516739147, 841.4391317700497, 843.80125371484553, 844.60207512707643, 844.73366392042692, 844.75914330829198, 844.81035844588621, 844.95753678554604, 845.51121978607011, 846.34042696615222, 846.72489560772385, 848.07763072056014, 849.40089807902325, 849.97026945799996, 850.06842706921861, 850.2569211684621, 851.04891890557667, 852.08625029729808, 852.45373663034093, 852.58139351784166, 852.77722909290094, 853.36041048866082, 854.47330538091842, 854.68875180783994, 856.53868603737158, 857.45165175867817, 857.69238912542926, 859.4392879407236, 860.17611528379666, 860.29101810539646, 863.02124544933531, 864.89826959738321, 865.83506696857592, 866.07439629837484, 866.11114016081024, 866.21229369034688, 867.03186629781919, 870.79956043507468, 874.38059802528005, 874.48951487269596, 874.53111841786347, 875.30274824416142, 878.99505181705786, 879.09050545415846, 879.5254258572744, 879.66674172818944, 879.91891369147618, 882.42293764288047, 883.26488785031711, 884.03680348808609, 885.01221361417629, 885.45467087470672, 885.84761016680932, 886.52660866184908, 886.63763421412011, 887.41869077044669, 888.12246930848607, 890.1138662943705, 890.41472429100611, 892.06139858508459, 892.37758831412589, 892.51222814278856, 893.0032534511181, 893.66962991732782, 894.28314497637336, 895.81752846819859, 896.99712668541838, 897.15714283070463, 898.85247959376579, 899.67597604948105, 900.07621044530549, 900.17117873481186, 901.90781410249076, 902.26265438507949, 902.42564552514409, 902.66060981091528, 904.78283024048858, 905.2301207579294, 905.57338614235823, 906.86465805185833, 907.61026102133803, 907.70465322989355, 907.86965270087376, 907.97362642844337, 908.67185243270433, 911.25723655606055, 911.31192671375163, 912.43687787396823, 913.75516183212039, 914.73493769656648, 915.62211483486976, 916.11309692587349, 916.23806891972163, 919.8913587580322, 920.06633339484426, 921.75351525746646, 922.38649376037779, 923.33216685468346, 924.22147056581468, 925.47301190107044, 925.66929408598162, 926.86720348872961, 926.89235460213695, 928.45414783587444, 928.69085735080705, 929.45199709975554, 930.57348103681329, 931.57124267527695, 932.23705665720342, 933.42602859245994, 936.77909596240409, 937.71867955706091, 938.01374654924643, 938.12204675792634, 938.4589154679453, 940.6022734419322, 940.6238440788195, 941.3309201882679, 941.39338192097421, 941.79006100205083, 943.79852820306962, 943.84434447965498, 945.56288715775668, 945.88251865446125, 947.95703725959686, 949.24006050813466, 950.04490154906853, 950.41706231179398, 951.24911615854512, 951.4525865209464, 951.58811613772787, 952.00975066248373, 952.94349704534318, 953.91007455431884, 954.25108558039642, 954.97759356014672, 956.66389869334398, 957.60434925066818, 959.29878842700828, 959.56358382761414, 961.52056167910189, 961.55976757922429, 961.63052840744967, 963.04841835417358, 963.90674299781119, 964.60238469006129, 965.56102680136894, 967.05638344128931, 968.76495731498369, 970.08665290773661, 971.53197309194059, 972.84344328871305, 973.39215010708006, 974.58784483133138, 974.80500555663298, 975.59816554099143, 976.37672238777986, 976.4603271508621, 976.51436839465623, 976.59424965789219, 976.91298997099705, 978.54489848520177, 978.72658829651414, 979.10743913628949, 979.84936501509878, 980.06853940433405, 981.10681510964275, 981.73778160883398, 983.25631893004777, 983.39268772808043, 983.91423073289468, 984.75975302376492, 985.48577726031306, 986.93890179601499, 988.38028902932228, 988.88485238541671, 989.650359383406, 989.70414884171612, 991.33890999744267, 995.86936291946324, 995.96571827233845, 996.48979952815966, 996.74221172149123, 997.47962800841469, 997.55322616289664, 998.00163018471051, 999.77464443104054, 999.91787949730804, 1000.0394118792104]),array([85.355207731854492, 85.902287248788937, 86.777296677147632, 88.23105025922527, 88.387061968143925, 88.773788245738743, 90.017919284158495, 90.347514637263018, 90.438858488753738, 91.240942303751083, 91.263279636525212, 92.211023892588685, 92.540140333889354, 92.572346547991771, 94.31916108685607, 96.602705472173739, 99.367643002319497, 99.644102254740957, 102.83074441955451, 103.16454642694069, 103.7507292125927, 104.1053239638257, 104.37099603426611, 105.45246168459212, 107.4991062044864, 108.78855469561391, 110.374787983706, 110.97926318802635, 113.53300180366209, 113.74662417753247, 116.2476853759787, 118.22018782151278, 119.11887841229571, 119.55493891331002, 120.48219097409475, 120.77648140330854, 120.92083919640237, 121.30747157142471, 121.90666970555829, 123.73856814347752, 123.97261608262363, 124.06280223701417, 124.32320186700446, 124.39035771997571, 125.22356015155744, 125.53047858891586, 127.75824021766702, 128.97928792647593, 130.40513252690141, 131.28981819511762, 132.0446746151874, 132.65747565217333, 132.81808363057152, 135.79043762500424, 136.63290704756295, 139.82104325481981, 139.90880465695994, 141.56143960492346, 143.37161337611738, 143.510781548594, 144.02336181275427, 144.20859665418351, 144.38733366322697, 145.01950586707167, 145.96818898833163, 146.66608982849465, 148.17187194379625, 148.52371126785857, 151.233544741347, 151.59853522992009, 152.98290603841193, 153.38206047344488, 154.0198296205877, 154.43025547622165, 157.3607958091186, 158.01981262564786, 159.84303098669949, 160.11745963051493, 160.28550501826754, 160.90468194917173, 161.09703127801737, 163.07928624271801, 163.14842673674855, 163.9616562836249, 166.81420194067988, 170.09649967697152, 170.19108578221497, 170.36470434415662, 170.78723291131064, 171.00635602774508, 172.2069562748062, 175.31262665871273, 175.42391963202218, 175.80001834480137, 175.96973322193313, 176.07316738739516, 176.47436497044185, 177.27418407120982, 179.15010610474579, 183.35743763470907, 183.43470886511631, 184.21663836670783, 185.21131326498747, 187.40524474223363, 189.10225646004878, 189.21787103007304, 189.9708050243984, 190.04300928416257, 190.91429974015955, 191.0757629457969, 192.14036456049897, 192.72750760500801, 193.54180591933724, 194.69188668307848, 194.86286519791182, 198.15409442653558, 199.58137730397465, 200.05571342524698, 200.46949578331197, 201.15162498614515, 201.43701367276574, 202.70623997095231, 202.96195245427921, 203.38300990019485, 204.60970710778764, 205.08308144061903, 205.36959342008629, 206.00981000136059, 209.80548922025253, 210.92635622166827, 211.3329480549825, 211.44370637818099, 212.10030660499785, 212.51769767094075, 213.34724205840749, 213.89744574386907, 216.37370582854973, 216.92574893583836, 219.03427415608883, 222.48549832803582, 222.65984504709112, 224.45173642908864, 225.57413206535179, 226.10982899812873, 226.66425818095865, 226.76292526555281, 228.34358760628629, 233.32214763422346, 233.78281835090331, 235.59415750190297, 237.67752948264737, 237.99390333591396, 238.08216318383333, 238.33293433642947, 238.42280278801221, 239.02003549859549, 239.2927047944743, 239.48241161643719, 240.48050984839892, 241.00012727048031, 244.76063309077935, 246.13450646818046, 249.48108455006337, 250.14125683244944, 250.96671402364024, 251.95791375769574, 252.03184452716849, 256.09517078917116, 256.40608589757312, 256.87391009292071, 258.61029857190078, 259.1529790744321, 259.80844918423509, 260.21026654018141, 260.86123423991324, 262.34319486114066, 264.00531882593174, 264.77528570379098, 265.49656014278816, 270.03467446671743, 270.21918963884883, 270.50122337237684, 271.19646209588348, 271.41333558841211, 271.65893302770928, 272.48337651054982, 273.93720745715382, 274.36200626248979, 276.60859101194097, 276.98015016085736, 277.9486756439174, 279.15226025977506, 285.10641069424673, 285.61271835607903, 285.63917608437345, 286.12546935472363, 287.36263603701082, 287.86603550234503, 287.94864604523809, 288.06194170098496, 289.2896409724728, 290.71117772200074, 291.2700648359143, 291.70945369752462, 293.06445465261243, 293.86389073230657, 293.96880362074393, 295.07786309231437, 295.2123281177997, 295.52637589842942, 295.58962024349245, 297.83066489721574, 298.20331777238005, 298.60665279453553, 299.50596240600919, 301.46121162817627, 301.81224783665874, 304.56165230627107, 306.13206745656822, 307.00395137060275, 307.95162255562718, 308.95662166662913, 309.36729301068959, 310.6939530487665, 311.10638872577033, 312.42989185799496, 313.9999658334105, 314.30330570572147, 314.90480870058542, 314.92544599159362, 314.98107190998587, 316.73382809442717, 318.09586591794175, 318.86721427517529, 319.36445806896091, 319.84504723882907, 320.52509889650878, 320.66722983151487, 321.24098074471834, 321.50030213348845, 322.29920679767832, 322.79086786507202, 322.90866275145265, 323.55618071484002, 324.4779673047579, 324.98139519143206, 326.43876797335292, 327.5859785239129, 327.62663018722259, 328.6154674386089, 330.4849054045863, 330.62403798133465, 331.91974228134296, 333.27815455946154, 333.67310321631658, 334.58187232516275, 336.55525873448153, 338.23537072440121, 340.02145338609733, 341.49451733901913, 343.62209141644871, 344.02887815987901, 344.15080781488473, 346.56664912840859, 347.32527322943088, 348.95643073990021, 350.6317253944411, 351.31686148722849, 351.48405156466333, 353.63467219775788, 354.18897254506157, 357.20458567295117, 357.77113008014226, 358.83903784817898, 359.17612165773511, 359.52959658190372, 359.57590727128024, 361.580186357466, 362.17077038482847, 365.57236580318732, 365.95244160439302, 366.55373001369861, 367.77742812318633, 368.09183617263744, 368.56239740083873, 368.77344752755602, 369.49833816974984, 369.79193254261395, 370.03364249527539, 370.10809809242249, 372.85856479185338, 373.13757390918994, 375.25605728430662, 375.52148423036817, 375.99735831471503, 376.15702041107443, 376.48198535155819, 380.49119895815244, 381.26166876557159, 385.36913607243463, 385.64854781441812, 385.80227359464698, 386.68117310747687, 389.59565770073135, 389.74083484616273, 389.80783084913924, 390.08338975706238, 391.00029719052867, 391.17145045503372, 391.61680510914391, 391.86671464002046, 393.59442677001255, 395.89394483521386, 396.42264322140397, 397.02697870987396, 398.10531895642919, 398.60826207687984, 399.44734354886822, 399.6163419340528, 399.87776004920494, 400.07221118744741, 400.63622314087013, 401.02021164623312, 401.55729482454757, 402.05638284372941, 402.89633980061052, 403.6013315030508, 403.93987452385738, 404.75213474850193, 404.88807393682765, 404.92782245617877, 405.1841988560592, 405.47267128171427, 405.62017890984498, 405.99032317151477, 406.44512045998835, 407.0924376692638, 408.1323155439643, 408.47156261572974, 408.57211898609103, 409.06551802547727, 410.32965123063832, 410.96822694284924, 418.00565699496838, 418.61134303016576, 418.66669328099323, 418.79968563034356, 419.56093044145825, 420.40831166995406, 420.97895418310549, 421.03266401909104, 422.96018451945895, 427.49653900531871, 427.7002585584832, 427.78390518641544, 429.41905252385175, 429.60109084430866, 431.58178864163449, 431.78599513930686, 431.93910605766382, 432.23323312535206, 433.51590231555735, 433.70837221680841, 433.844606288943, 435.15505826455041, 435.73978477322549, 437.0838267731034, 437.11142452262288, 438.177326742925, 439.44364252045682, 439.79184206941954, 442.98291366331858, 444.67962998231764, 445.37984861714767, 445.97819289830448, 446.63636296070763, 446.86174671955479, 448.25590635468069, 450.92256815541913, 450.97881699277582, 451.59182605807564, 452.88324473749208, 453.16212013932733, 453.70154430134761, 457.78173553547322, 459.37375407218582, 460.30973092482606, 461.22891492769276, 461.69050170192605, 462.22200909140668, 464.7916775588177, 466.27721852497228, 467.517771231214, 467.72135233791721, 468.95518661498494, 469.3996316772355, 470.67539469434018, 471.10190754835878, 473.3694846890059, 477.54736963664664, 477.89263037397296, 478.82630517605901, 479.36734629369636, 481.23288230693174, 481.36356402995773, 481.79705741740042, 482.07689574738902, 483.76276060486185, 484.82389515052404, 486.32635435131687, 486.75410259462069, 486.80182013577445, 488.72330668755768, 489.60760850915943, 491.73254434546095, 492.31819038849511, 492.98228116892324, 493.28119877588034, 493.62729115553913, 494.24715757151966, 496.21763634987047, 499.93835416226995, 500.67672428060041, 500.86064430868038, 501.56283681689393, 503.54244575049989, 503.57511761552831, 503.71082300037159, 504.04873733045343, 504.19699626155113, 504.33887429300108, 504.87249488556813, 505.13627008186216, 505.56009336325718, 506.24682064132185, 511.01706120298326, 511.35788847447191, 512.49510236044785, 513.2101339564573, 514.09366613397583, 514.29412903588309, 515.50447255639347, 516.5020395153482, 517.26971444827234, 517.55625385101553, 519.08853196770474, 521.05606421640118, 523.67067091224499, 523.94315664472674, 524.37121421779364, 525.98110175689601, 526.97208333167885, 527.01690355195035, 527.25729815809757, 527.97942565672236, 528.81770219113901, 531.27135647414627, 532.42539804103228, 534.254860553718, 536.78669526339877, 537.84798523957943, 537.99677139379662, 541.48054448949267, 542.56350478958689, 543.14116388089951, 543.85087780716594, 543.87415308493416, 545.36716785520002, 546.21527435485837, 546.73630074721734, 548.98256949678307, 549.62701820408131, 551.17907062047175, 556.04708299751951, 556.33076142533957, 556.90800538789563, 557.54049946202292, 558.19235092110137, 558.86192070855657, 558.96990605144447, 560.49818244126959, 562.55684698535094, 562.85219664403326, 563.8023826997819, 564.67719546450087, 565.43101343935564, 567.07503136174148, 568.68434484336456, 569.38224082510931, 569.76129634647577, 570.22426121523733, 570.82778448850604, 572.37155068751974, 573.60946162900632, 574.33752356098501, 574.97285476249772, 575.01096893570104, 577.07931033559453, 578.15143710063523, 578.97811514939451, 579.42258027677417, 579.89904490374226, 580.56357568631154, 584.27140240841527, 588.64236527471064, 589.13707171155568, 590.90956354854677, 591.12920646345833, 591.45304312443704, 591.595646482814, 593.62346684239401, 595.36187972970811, 595.79005816178392, 597.31765280205093, 598.08419441921319, 598.61609478245305, 599.2938248449999, 601.04254360102095, 601.64320934600312, 602.561253168549, 604.41987213969912, 605.37251541654291, 605.79144635175044, 606.17515424834755, 607.62032777468528, 607.95046212706427, 608.61798776088995, 609.6900606042708, 610.25568874701037, 610.55202572476321, 610.81927087316365, 611.20095018238806, 612.51864617091053, 612.678100258722, 613.27996016051225, 613.46143887498954, 613.5075724974165, 613.58427959752396, 614.65555693398835, 614.99448442355481, 616.68117908102477, 617.55266714892332, 617.98041775230752, 618.90131524395429, 618.94809469301151, 619.39248892246496, 619.94369144059272, 620.30545398324682, 620.73145874741874, 622.13089015387629, 622.75399797842374, 623.22162497835654, 623.79362042284356, 624.69386747576846, 626.92417651606286, 628.31077241741048, 628.51907665962392, 628.61359388328901, 628.84525221137574, 630.82053865609385, 631.75333385249326, 633.70139536856971, 634.18908633109993, 635.28834992514828, 635.93415490675386, 636.31556881606014, 636.34363085027553, 637.47115153370953, 638.3910794653533, 639.63228250128304, 639.99690034347748, 640.38785994433613, 642.36738825202269, 643.93356818909672, 645.10062888423317, 647.36037100188867, 648.84628889686815, 651.3331555735067, 652.32530436805973, 654.10638431949803, 654.90334606981719, 655.38984359143831, 655.57453957518965, 658.62725203035086, 660.38389418264978, 660.57080035478941, 661.13963250883569, 661.2363345679463, 661.71449845324901, 663.29951076281463, 663.47441749461973, 664.7733463623432, 664.93333965222428, 667.72701540027128, 668.45778232946861, 668.80981749590092, 669.42512125397616, 670.85949131688881, 673.33941903164691, 676.90731639649255, 677.53769662493494, 677.75213120952606, 678.14220442116141, 678.31436640069148, 678.97357903848342, 680.48936641700413, 680.94704988484659, 681.10135620994276, 681.9202780147034, 683.47261630140281, 683.50551311462425, 685.22608866959854, 685.34707229166872, 687.74638969804062, 687.93810469627306, 688.33423182371064, 688.68601858146201, 689.52696871426406, 690.59532499557008, 692.87355597624287, 693.79762577664701, 694.0401665526457, 694.29635150675642, 698.31621562051873, 698.66074679768792, 700.20230654998943, 700.56403620417632, 701.50007830517711, 702.04377898293421, 703.67901079221292, 705.22485478948693, 705.79887819969213, 706.26334097905203, 707.5259903147379, 707.80169177928428, 708.88146340438016, 711.66654394908494, 712.03460479310422, 713.09054001100969, 714.02990498459224, 715.0175987607804, 716.07584178872162, 716.93516521358697, 717.52212597369237, 718.59683166798311, 720.4114754649944, 721.44301882017419, 721.64336797748945, 721.89589920833998, 722.4700541327328, 724.20920328804857, 725.20785804623233, 725.62976135079123, 726.63914740408893, 726.77212458313409, 730.76199824404353, 732.76423458671104, 732.85088413780511, 734.19094477474459, 735.545510027251, 737.6074826878712, 739.56586118679968, 741.06555467179953, 743.76377195220584, 746.50525140882485, 747.02142993210782, 748.46914714005743, 748.88802253909694, 749.19453127434588, 749.81676693114616, 750.13309730331105, 750.86089082149556, 751.64476266371412, 757.04139331837314, 758.00846122337293, 758.97545343747231, 759.5702344621759, 760.47215375558949, 761.41608957079143, 763.01133748316954, 763.09996315688704, 764.35755547440704, 770.53344852264956, 770.84798004662775, 771.79524844310959, 772.34100268042391, 772.7298892404192, 773.51474502317637, 774.14570959648279, 776.61044546651237, 777.92456083500304, 778.33962384871597, 778.45447190242214, 780.43959500009942, 780.92581964449312, 782.81690327704678, 783.25116513742262, 783.33989646374573, 783.49956595500294, 783.75850251695385, 784.0647222489772, 784.58118838553321, 785.11795191303656, 785.1522685747999, 785.2169009346768, 785.53157924293498, 788.27156489622337, 788.48572375097774, 789.28901946940891, 790.8560317447683, 791.17822466255404, 791.49326597443564, 793.83609297948055, 794.95047865092977, 795.51298952051684, 796.78034786092564, 797.73499113611035, 798.7874679263042, 799.38655003010888, 799.73453290612588, 800.20572413807633, 804.19018672021218, 806.35110715390249, 807.87569020145565, 808.94985995637364, 810.94983886225305, 811.73076996261466, 812.25512036993825, 813.59429392417076, 814.25694787482666, 814.40766935677357, 814.43020740412896, 815.5710083464611, 815.80089861939746, 817.80599152305626, 823.91677197874458, 824.41158299906124, 825.22787496504895, 825.3760531698598, 830.76263953103421, 831.7877365215694, 832.53547225383613, 834.40071526144584, 834.58809437651212, 836.83939069705468, 837.37028010016536, 839.89542260679661, 839.97046094663119, 840.45099917571599, 842.00496896284574, 842.62854173782409, 842.75100369453514, 843.0822184687371, 845.66770765947263, 846.59855597536705, 846.92649796969567, 847.41496833175347, 847.82961814401745, 848.83227615330748, 849.16773756722444, 850.50127899597419, 851.15279040246924, 851.71858523976903, 856.83368136585375, 857.20324908038344, 859.82994282639402, 861.54277815925298, 863.52450056794987, 865.03585715410134, 868.83960740759596, 870.34477117362565, 870.60346056199705, 873.85132380708535, 876.02523031817077, 876.65569340731565, 879.33672984702434, 879.99028001261706, 880.08713477937226, 882.45171524240118, 882.58324562161317, 886.72255719198347, 889.311121078258, 889.89562340028249, 890.88866995948706, 891.69485936800208, 891.7324839934962, 892.07768794491426, 893.10383110767975, 893.68663360472931, 893.77114474489338, 895.77699676462657, 896.56708618930804, 898.09508715525294, 898.98664465739853, 899.02920199420419, 900.35987902001227, 901.48466732599184, 902.30157597309051, 902.7652868938369, 903.00035614002024, 903.53599861671, 907.71007108544541, 907.75134498488649, 908.7037450429458, 909.52257272386203, 911.10723139979325, 911.92365152695254, 913.00624124315345, 913.34100656849523, 916.21544054820492, 916.32916263454661, 916.54503448211324, 916.74463706263532, 917.33200089637444, 918.58974069368185, 920.33577635255767, 924.1694052886279, 926.59199719418598, 928.31299812478119, 929.6164163627767, 929.80455049143904, 930.40621107506286, 931.34520296200446, 933.28147543228977, 933.41658106826435, 933.86622719052343, 934.27130065904873, 936.01458459939784, 938.35280902052455, 938.42236313368585, 939.97178429784151, 940.92747496995753, 943.79763360044387, 946.99276708205343, 947.52562587166028, 947.54825690958205, 947.99916381759135, 950.16200998497027, 950.99598826900421, 952.01132069959795, 952.06983561587208, 952.29894397806765, 955.34096369907638, 955.89159534199166, 961.97717496289624, 964.00948434329621, 964.13371718774351, 967.60927248841188, 969.18922182796803, 969.93365124340551, 971.82969038615443, 972.10462418300608, 973.78375371635479, 974.08023503078596, 974.59412594833077, 975.27312128176129, 975.38050323786592, 975.74201306579414, 976.98389235431659, 978.24045045785317, 979.25316176515344, 980.46063244567813, 982.37577172950762, 982.44300260433874, 983.58876379885407, 984.08010906771995, 984.26345379839711, 986.25080294096028, 986.36200873584198, 987.03456121209456, 987.1986084384846, 989.55267482616364, 989.9469332069458, 991.6107048537142, 992.26548952969483, 992.41764304588867, 993.491564486882, 996.9071055730451, 997.63842432949923, 998.33645345406353, 999.80898113649744, 1000.0077248621236]),array([5.9063740945517136, 7.4066512637615709, 8.5599260023887123, 9.698208244229491, 10.513360520006852, 10.966569225935693, 11.32692380562149, 14.039135049751589, 14.813876938557138, 16.622908573208885, 16.665330836320134, 17.519070853606873, 19.30884903757547, 20.483224567848396, 21.808310513881477, 23.202162743478887, 23.360158700260698, 23.418671595821312, 24.131031542104843, 24.777596122234403, 24.961378499795128, 25.248127828986924, 25.825190933733925, 25.862343271236433, 26.218682539382382, 28.459173826578834, 29.613634889395325, 29.852550440249797, 30.259806350215637, 30.284405895556407, 31.37671815772346, 31.923665635808511, 32.402853482651835, 33.714207648949213, 35.274196642521915, 35.314235423271434, 35.655100939089081, 37.156052345824591, 37.316371284993309, 37.912978390860772, 38.345298178328974, 40.793165203239184, 41.939934123324107, 43.461694988744213, 43.679189164008882, 46.072000661271936, 46.39893003714613, 47.281420583483417, 48.310604877586364, 49.234634126650597, 49.615717355403632, 49.910045217614829, 50.196655971166031, 50.326491921477654, 50.384596375137789, 52.045465367199206, 52.205066960192809, 52.852668508630082, 54.21223373465093, 54.345802055720277, 54.447947442938563, 56.057335685047775, 57.50087174720462, 61.22619573598746, 62.249612950751349, 63.000681325471355, 63.626546468580273, 64.861243243213622, 67.54308666033603, 71.929511412091188, 72.059371349272837, 73.749682364307674, 76.505658370393277, 79.483074946876883, 81.622913437801657, 82.668293738469274, 83.733836138386238, 85.126135326054978, 85.749259881650801, 88.251307315478556, 89.45977273932418, 90.323092115528269, 91.553222834512383, 91.875552128871675, 92.508450900854726, 93.188795141317939, 94.231985548080871, 94.921275612971783, 95.876739512735696, 96.04881136162264, 96.328876936282924, 96.596147305482347, 97.346895870564751, 97.583480575474681, 97.71330838641471, 98.000533499474912, 100.85530043977178, 102.59367289854664, 102.85097041192472, 103.5051337298939, 104.11563756443411, 104.83133349159922, 106.69727875692551, 108.65187651072493, 109.21014760879288, 110.7156940601468, 114.06963151781201, 114.49644875870733, 115.62852950487338, 116.3877432347148, 117.04404839205716, 117.12611104558164, 117.38415825103603, 118.00749445997982, 118.84839554034168, 119.37474887101355, 119.86552283119251, 122.51401687481486, 123.77645723291803, 125.47716239155312, 126.18367438492496, 126.37069245337577, 127.49951999315174, 127.67726904472923, 129.28503116005197, 129.48220068071868, 130.14809924307355, 130.28112988758451, 132.66716389662491, 133.10953719661521, 135.38090212143302, 136.19730580993806, 136.59888119922502, 137.98970009783514, 138.33696952576113, 138.38051750463777, 138.87320319311132, 140.14982576863747, 141.61146752982998, 141.96351098474642, 143.4124419267919, 144.39408674546954, 147.12442284381257, 147.70828004434, 147.98544612352342, 150.15631993506346, 153.05420548083316, 154.13906837131921, 154.3368019863988, 155.14352677791319, 155.72240335979126, 156.3261646416579, 160.00992258135994, 160.08478248474563, 160.93630394871499, 161.10483981788875, 163.5850590474123, 164.76842438424887, 165.54704807543868, 167.0828110425436, 167.74758626968435, 170.29606934864049, 170.83692615261683, 172.79108067026459, 173.06303765995347, 173.58452380239947, 175.1645531993002, 175.46900663032281, 178.12680404819457, 178.9319348902994, 179.09358559842707, 180.1163112113872, 180.8411543382544, 182.43528678486075, 182.8250116697852, 183.13221525958522, 183.16124663984721, 183.54500701147947, 183.98564206139937, 184.78222672415822, 186.55699777258778, 190.69661312680557, 192.29950203171336, 194.01178088449248, 194.07162949064585, 198.3121578438178, 199.2091948345184, 201.39124377871613, 202.469505548668, 202.96032424165688, 206.63224771239413, 208.84412939467308, 209.02873239521998, 209.4316982595613, 210.41434811258029, 213.87116068541843, 215.40973439028249, 215.52061324904986, 215.57987750621308, 215.73276350127122, 215.98117239584894, 216.35693028483274, 217.15797145411375, 218.8704567944059, 219.09657181330505, 219.68784229230863, 220.7463990636289, 222.37779219134285, 222.81934979854196, 223.88353172562242, 224.55702519330629, 224.85383001017104, 228.25276024174678, 228.95628506643865, 232.86552683156708, 236.03892772490926, 237.29190188515943, 237.93715774484807, 238.99941055380199, 239.04236317222475, 241.15652472316035, 241.3366674639885, 241.63669830344946, 244.06212210023151, 244.20904582958272, 244.95928094506243, 245.13650473339001, 249.51736837624514, 250.04079210059285, 251.35874090128493, 252.31853381283199, 252.3485715993462, 252.3964996522738, 254.75786031367386, 255.69788226696221, 256.27412766232976, 258.30943319051795, 259.63005514844673, 260.13595329299579, 260.66345541182267, 261.3948308299577, 261.60387874331866, 262.6485147361841, 262.88358729764695, 263.03704085790889, 263.6306209148043, 263.82683833224621, 264.14182792201115, 264.91988633954594, 265.05041461448212, 266.518307305772, 267.71589395381955, 268.34164034101627, 268.61905063345165, 271.36604328600981, 271.79118506391092, 272.30093789441452, 272.62529551237748, 274.3994145383262, 275.09641473085236, 275.23661412452361, 277.27912526970653, 278.80994073896807, 279.3321055818484, 279.47149994800526, 279.59802155995476, 281.13957619343864, 281.99059768607952, 282.38224843477627, 282.69244463969892, 282.94784958838517, 283.56328602461912, 284.40361975935963, 286.1956902063252, 286.57812435738748, 288.6218276866544, 288.67976893356104, 288.91463077199506, 292.36622662733538, 296.35734323071642, 296.49713768308732, 298.62341319611164, 298.73241475747716, 299.35097525856196, 301.76982072305003, 303.17835049023932, 303.2528563524524, 304.25727351467555, 304.30556599383306, 305.45905962262339, 306.52503356093217, 306.61156179730597, 307.24177389794812, 307.64108200057791, 308.27637746432612, 309.06524393704052, 309.92116538636037, 310.75914628825149, 311.0735389055568, 311.69169737106614, 312.1843933032381, 314.75016186295602, 315.09796933271224, 315.42406333201217, 317.41976168434218, 318.09791447771636, 318.58563366500567, 320.07599072722797, 321.71823304567982, 322.9900651889331, 323.10061952194121, 323.72223388518296, 323.76310465555224, 325.01149993861941, 325.43691711844474, 329.39145484151885, 330.6267388785634, 330.76925291665049, 331.35169222025212, 333.03469884870162, 333.62507952583468, 334.57511734588775, 338.61787062514554, 339.98510291847651, 340.75093479384094, 342.77305631803176, 344.01951620600073, 344.04203511865569, 344.5392437183329, 345.06291785672767, 346.11357438455121, 346.313498217801, 347.60172480586021, 348.99273277287148, 349.20617207335033, 349.77902724404447, 349.82108657077345, 350.65014859534955, 353.17163238518935, 353.2541135925797, 354.60983322741583, 357.32553722878657, 357.90920426628475, 359.32402991646103, 360.3763857826807, 361.57130724612307, 363.58207244776457, 364.75191265766364, 365.45597903004318, 366.89293028651872, 368.38230746554558, 369.46608825543041, 369.51115118829756, 370.4544677326341, 371.77034835969181, 375.95660749260759, 376.07284821121743, 376.59460190883249, 376.79201226628686, 378.84667835644132, 379.53225321523627, 380.53681651456526, 380.95808061678224, 382.13905139032761, 382.34398696458175, 384.39941972790979, 384.44628578073514, 385.66121134145789, 386.61540373178951, 387.33866024209448, 388.19429847258499, 388.48058321286544, 389.61444723581383, 390.16524729500418, 390.3623612770283, 390.4952879899447, 390.76419973734227, 392.1064500738326, 392.48039451390457, 393.53775015151155, 396.01574494320511, 396.50696019123387, 400.33400093820217, 401.23228082722358, 401.44187418367704, 402.4868657229938, 403.20588891897137, 404.10863926072767, 404.63948964132214, 404.71210247781931, 407.42497837091094, 409.20525547778266, 409.89858858149893, 410.51964788600168, 410.8093595722263, 411.28073183824961, 412.88357839651161, 414.191474391996, 414.68342992704379, 415.05565586538432, 415.41274709702992, 415.60762868907375, 415.91158537297611, 416.11838804576263, 416.50028276600432, 417.76090047053759, 418.42348633733263, 418.84668704591041, 419.66162583368271, 419.923133294222, 419.95501568160694, 421.60919148971209, 421.67176263390866, 421.7413001241311, 422.32797483778052, 422.37501619819159, 422.81326520350581, 423.56991515902348, 424.67475200936474, 424.70766639518632, 425.7669255588637, 425.83781584848214, 426.23805221637559, 427.86365335903076, 428.04001716781414, 428.76675622362342, 428.91438461693747, 429.16728928364427, 429.27573917181934, 436.16931959391559, 436.58156741406708, 437.52924399154654, 437.92317048157383, 438.33540120441234, 439.02599780202434, 439.20408879580214, 439.54754328785498, 439.96883809625353, 440.32818376357613, 441.11329588891766, 442.6741162576364, 443.11593013143147, 446.32264420905352, 446.75317023733925, 448.80397710263026, 449.64048870470333, 449.68361483317733, 450.67258879855416, 452.73712437449979, 453.48640691574229, 457.38530498911751, 458.52225096171827, 459.99790342101119, 462.06253098400578, 462.13687311615143, 464.3361920227772, 465.75806035816913, 467.40813727380436, 469.62099112791589, 469.70733450189385, 470.79927575887268, 471.67859578757043, 472.40390554524049, 474.31263494808047, 474.81756835808108, 474.9902188407778, 475.1742192892126, 475.91719442161923, 476.4805538382044, 478.60264889069197, 479.18070285253151, 479.60828224109082, 480.12045356496333, 480.65228734104949, 482.20952206032354, 482.49287765229127, 482.58546074916308, 483.01816479819746, 485.92644291254629, 486.86978022547049, 487.20338683812003, 487.54101211842499, 490.75455520918621, 493.79792699162545, 494.85802554346611, 495.43815895466798, 496.60066929540363, 496.77270380673468, 498.05907769043932, 499.25044100705935, 499.47426869667316, 499.5067798346978, 499.819003231078, 501.65884461768803, 502.0634726330299, 502.56272095911112, 504.06530250998719, 504.2105492855689, 504.40651958541133, 505.00112257198708, 505.04226318821492, 505.47392620695535, 505.67530894140975, 505.71905494553528, 508.5099456439944, 508.9848472370486, 509.57030100929825, 510.05045489285192, 511.44825782443809, 514.19151400994042, 515.19169809497703, 515.64456329778, 515.83314935222131, 516.116270719, 516.39826138072306, 516.99462897747162, 517.02523207718787, 517.28749392804434, 519.22906243994476, 522.49500210328438, 523.1273301263077, 523.39856186800682, 523.53648471269969, 524.64122740066455, 525.73619674171209, 525.86924298870508, 526.11255377351745, 526.30591186385516, 526.75980842656952, 526.78501920285692, 528.1820274942263, 528.60008014721836, 528.73082045259002, 530.77209995889109, 533.48035597100773, 534.20256904492794, 535.03758536299779, 535.83331906763544, 536.83218763932791, 538.59524743413942, 538.82500044250787, 539.06241218433513, 539.84629785608581, 542.22592054556799, 542.39976647478966, 543.61311082762381, 546.99762620219508, 548.11480028922745, 548.18279084705898, 548.24150136374362, 548.37575279284897, 550.25477432554953, 551.41952820593622, 552.07823475893076, 556.46518855700344, 556.67954934042564, 557.77543114005925, 559.40614327370099, 559.92830180104795, 560.72544045597408, 561.0142416398586, 563.44428889725157, 563.63419277882622, 564.94961855732663, 565.02539614888019, 565.09753397906252, 565.22034166207004, 567.05829859702908, 568.99255924658439, 569.53950437697506, 570.0348167233135, 570.12309360054689, 572.73794081196468, 572.95710487008989, 575.82167466419889, 576.10606725069886, 576.52021500268972, 577.66738588348005, 580.29662817452027, 580.79356535385557, 581.24560761515659, 582.85354930384017, 582.95840262789147, 586.68555901881916, 589.73214431216195, 590.0992806830094, 590.54350243001704, 591.31581333117856, 592.14597400241405, 592.53855686625616, 592.99030556256776, 594.66440477216429, 595.39328737831966, 596.60693150229088, 597.01294482658761, 597.07390623715651, 602.45414119662314, 602.73138808069325, 604.58500985396233, 605.57382610440743, 605.85321407356162, 605.90499562495665, 607.52768698612203, 608.93697473880218, 609.70247570503432, 610.20611478594139, 611.68251892544879, 613.28928046701515, 615.07932651524186, 616.63009735158187, 617.54002941423312, 618.43703163741066, 618.49788537192353, 619.33159830111094, 620.22907347652199, 620.9980917561661, 621.10246194711112, 622.85229413049171, 624.50764034183612, 626.57993706808736, 626.85686049191099, 626.90836715388423, 627.65823554290034, 628.95542489133697, 629.36587403481769, 629.84848534512378, 629.92541283358423, 636.11801219168387, 638.99690246950718, 642.75574911622448, 643.32924420423035, 644.20449230934457, 644.45647072293127, 646.61669491836153, 647.69568467126896, 650.57964174782398, 650.76682359019151, 651.11330568151027, 651.65837438273797, 653.26993463683755, 655.37003903416132, 655.51446250934066, 655.77529422949317, 655.9312270776943, 656.00964860622526, 657.43289186198115, 659.44171970252137, 659.78078962778477, 659.90711703183149, 661.54971517279569, 661.83134581171521, 661.89412131141228, 661.95234171555842, 662.2286075225054, 662.6374216394845, 663.5193839080647, 665.54572201289864, 667.78978273299856, 668.52493336809152, 670.29955061045757, 672.43303459591925, 672.58250985766722, 673.12691807088879, 674.59254482654285, 675.98443092580192, 677.64436510349003, 677.69639675330063, 678.05551383369175, 679.05438007084376, 680.25655904705218, 680.35785897979099, 680.66703344561586, 684.16747001359033, 689.22670182845093, 690.64322129697507, 691.58241235388459, 693.15412708174256, 694.64117659797296, 695.25783519953143, 696.55434541478576, 696.8913860627141, 697.49874664151889, 697.91791937001221, 698.12457657100242, 698.2773815806072, 698.80507520389608, 699.79075169081148, 701.15444017556536, 701.91374970423942, 702.30786458490866, 702.45904951953844, 702.59268514665575, 703.97782874990492, 704.7261374001597, 705.6480245920543, 706.58386109212199, 706.8425586314695, 710.44388056761636, 710.63842604623903, 711.83324749742508, 712.11971957294804, 713.94684265447268, 714.32162170554409, 715.90092228964568, 717.4426802137657, 718.2648290837235, 719.19781257120553, 719.40217074814962, 721.2430434569327, 722.78954793751075, 723.2562568682207, 723.92196646042635, 724.14810228539591, 725.56299359668174, 725.72856307223958, 729.65639524785615, 730.50287321219002, 730.99144855226552, 731.26878214005626, 731.35913371635468, 731.5492627923328, 731.79804931948831, 732.20000963996154, 732.38484119651457, 732.91535391580555, 733.75878873525653, 733.8947383153079, 734.56116117862018, 735.90678072769879, 736.74138778935696, 738.33193446708526, 739.11862615183315, 740.32429950313292, 740.54400876867783, 740.63416270988182, 741.15538539733018, 741.52594401133319, 742.73247389657695, 744.15751802598959, 745.91447289531436, 747.55507083337898, 748.63170695553924, 748.72869615058505, 749.23727134653075, 749.48746937800388, 749.51444050236341, 751.4718903859183, 752.77967755088264, 753.82588785706082, 756.88065133788587, 757.83753335912536, 759.56728002624993, 759.97240588974955, 762.39697485758518, 762.44979831004991, 762.71600551450376, 764.34153847872119, 764.56108307074919, 764.91626267352251, 765.22267373414149, 765.51032212396126, 765.90567976145678, 766.07865372948106, 770.29901798881929, 770.59451854555016, 774.48701111890875, 775.01643610573319, 775.95321323922599, 776.7412792727506, 777.4558524250682, 779.01727925244461, 779.24995408689495, 779.43150698887405, 780.58625977562008, 781.80863277041897, 782.13992231908685, 783.65793702846963, 784.52786260914911, 784.99448103769907, 785.67137637060239, 785.97098911327498, 788.32713500120633, 788.96054361315487, 793.38951969795448, 794.61419047972686, 795.18616341767233, 795.30915959432286, 795.36061667060676, 795.51324521447805, 796.05347817852237, 796.75982411076689, 797.07719302947623, 797.71408562704823, 798.90815745901568, 801.6698440603451, 802.09959645517881, 806.1363846457914, 807.28424407502189, 807.54407286383548, 808.31264515533155, 809.57237795874221, 809.84066153734966, 810.04864418376633, 810.08606937037871, 810.66894149042776, 811.96315338081899, 812.86656934643861, 813.12103980261884, 813.23307540832388, 814.55176221816225, 814.90047854484715, 815.77968879306206, 816.7641968822287, 817.07143697302638, 817.11447781567756, 817.75950507647315, 818.12114691830254, 818.65946986557185, 820.04449863776972, 820.18123144787126, 821.14762269094012, 821.49156589544452, 822.19510246462471, 822.23585346915092, 822.71228900797439, 823.18738728527853, 823.66911271263507, 824.17045379441515, 824.90965035309398, 825.30502411926773, 825.34087648978061, 827.48014710493396, 828.68119465230598, 829.83365611972943, 830.28965751509338, 830.71919985333716, 831.32401701197216, 832.37618132407886, 833.21727647426928, 833.45402611201109, 835.19214114272222, 835.22425799723305, 836.32967095059234, 837.42867864406639, 838.21769545135987, 838.45077002786934, 838.55173159876824, 838.79154376342774, 839.14045807096784, 839.21803236338371, 839.69583406696211, 842.25513809896972, 842.49171297956821, 843.2828336702712, 845.51938194248453, 848.55706796081029, 849.6267686222161, 850.20642844175484, 856.35388185134002, 858.06486878048213, 858.66343836250246, 859.05059189232281, 859.84524516631325, 860.34615374499867, 862.83029401821705, 863.55847747079417, 867.63469057061775, 867.67488641823297, 868.13674479687768, 868.57239908827182, 868.71273635060584, 868.85682015943303, 868.92451141570302, 871.0407034321546, 871.37242900175977, 872.37282223762088, 874.04020943491503, 874.84451591727941, 877.68352719387826, 878.18921392424852, 881.71466026738017, 883.66857251986528, 884.56376342992667, 886.25907470282243, 888.38840171668051, 892.73002174094586, 894.51535458499404, 896.71516763379418, 896.92013297876395, 896.96221412621946, 898.11554685887347, 898.50305904703885, 902.34665393464502, 902.78146417021537, 903.32476471293728, 903.74856880197012, 904.02890746042647, 904.87005845565056, 905.91776394742783, 906.48470780227217, 908.9046612885337, 909.0593389727668, 911.73642303024178, 913.09751496012734, 913.68251542621476, 914.27629929307841, 914.43272438781401, 916.85772282500363, 917.01673532769655, 919.34614242790269, 921.14584590076799, 921.99953113818447, 923.63486192662333, 923.87939055509378, 924.72894864201089, 925.89247342571252, 925.93783950791862, 926.02336594535097, 926.9810057748474, 927.97221802589536, 928.05451474981533, 928.40004613766325, 928.63967882893883, 930.46887160089602, 931.92966530661602, 934.26266007395225, 935.27757676395936, 935.87693616312208, 936.15640411229413, 936.20201666435219, 936.32580692114595, 946.65129111172575, 948.89601403533754, 950.27788360501438, 951.11755697479987, 952.07271942079672, 953.01119067191041, 953.88735718598309, 954.37679352458144, 955.94629162135345, 956.71093930236748, 957.08149082408681, 958.44025664684273, 958.5574701359277, 958.588228130022, 958.62259770099138, 959.08275058600793, 959.72428321563871, 961.70467094738535, 961.82305091519106, 963.30898621929441, 965.98148518589255, 966.30235916124309, 966.3821909400466, 966.46381254438279, 966.58626097912588, 967.13332994573591, 968.73363669576293, 972.57230136108831, 974.6441173498863, 974.97811244735556, 976.11223871194352, 978.37544176581753, 979.19603877378688, 980.33170816633981, 980.7177559160433, 980.88993787784705, 983.09377386557685, 983.77666638444441, 984.89024171322922, 985.23507073642361, 987.47386412381775, 987.69346202636973, 989.44026368698076, 989.84999752431872, 991.72849926616323, 992.08505752781332, 992.99995945476087, 993.06494414114115, 994.55192487368026, 996.21898548874321, 996.63350354280919, 997.65729203397427, 998.7929780601587, 1001.0417616232328]),array([93.370782361896445, 93.447879636291916, 94.68816079840434, 94.828106796620347, 95.071483365384225, 95.427979062877512, 95.622743891815006, 97.659361459309565, 99.916548618584372, 101.22056400579473, 101.70916915766227, 102.04894205225865, 103.34151764897175, 103.75671241435155, 104.18031625639824, 106.47645129931769, 106.69811597238008, 106.800779066617, 107.30281435468108, 107.5957614335791, 109.36642370450478, 110.22238493523749, 112.44805441986198, 112.48703622830956, 113.02044038247448, 113.20504342438508, 116.29968626788083, 117.333111476396, 119.66904409603427, 120.67748989404872, 121.61345416110167, 122.91117815688322, 123.59914918800037, 125.58892655921305, 125.65010707440234, 127.00014714497946, 128.64334102329025, 129.50315095815716, 134.94290084051295, 135.52402086249464, 136.07245329592419, 137.06161918013404, 137.55104908974747, 140.68067433991826, 141.2262020171255, 141.32803228579749, 141.75278275056434, 146.26567001247028, 146.7704910644801, 147.19799534816866, 148.28841607898212, 148.70072520977618, 148.78034275221469, 150.88335280562984, 151.07862768648982, 152.00391946977905, 153.40400306650173, 157.01394082172655, 157.19100209989369, 157.45185829520602, 158.23712255307277, 159.91500071646999, 160.11351810758248, 160.81011070708362, 161.13506102190976, 162.43754418684458, 165.25840450986615, 166.06545509370278, 167.28183305539983, 168.05810458977129, 168.8403850652235, 170.65592422877234, 171.78259625798222, 173.50002998450344, 173.52358536447102, 174.81056915993142, 175.79645225239554, 177.56712168656415, 177.77207812610152, 180.08250407026776, 180.9291093848837, 182.21141405286693, 182.36830526552561, 182.64286857695456, 183.58779389258873, 184.78337526187298, 190.63368926780254, 191.50086838579375, 194.45390305115157, 194.49200855749501, 196.22490200163048, 196.36523070731351, 196.79416883774252, 197.33420346699307, 202.0505532727702, 202.59944952719565, 203.6639507633989, 203.71796351198364, 205.70199832268142, 206.08600517894607, 206.67622123996742, 207.61332762784411, 208.27369254425332, 210.27103106961053, 210.61020597665495, 213.46411437172438, 216.71025432266265, 218.56230852440879, 221.51266652482465, 221.79225990376216, 225.83464744973466, 226.90763631813351, 231.23634326662187, 231.38534588911193, 232.10384110490907, 233.89955884187901, 233.97903077826444, 234.37902847827814, 237.29280216678578, 237.77444986684065, 238.87235219105307, 241.5193042589317, 241.9055182181755, 242.60575047873306, 245.26504064927542, 246.40530148105185, 249.8035132271844, 251.09672877675916, 251.54030467584357, 252.05095337351051, 252.21343862779926, 252.63193163681666, 253.08219050439689, 255.00629149325241, 255.23683656329777, 255.93000415291905, 259.21191596549812, 259.86791681854146, 263.6001351428261, 267.13238192896614, 268.21591080509756, 268.28409465076635, 269.07955906938287, 269.48185242491849, 272.0850819559991, 274.94445074650724, 277.09080424922985, 277.61960005775205, 280.68659534777385, 281.96717602839323, 282.11271532666262, 282.64477877096573, 282.86591771823055, 282.94330651265864, 283.66112486093721, 284.41726515833841, 284.46780478024567, 284.97741493178944, 285.54240454068008, 286.57575885838673, 287.98883240228957, 291.64788268924514, 291.67358296606574, 292.34033827005658, 292.58955498869108, 292.8853201365111, 293.16561338375595, 293.7138480040843, 293.90874167599526, 294.20046042862009, 295.13807530836755, 296.01637089742212, 296.48996989979435, 296.61383363350905, 296.87350272825148, 302.80382025037073, 303.73489158501798, 304.18513249677306, 305.30876653736016, 305.40540456903966, 308.51337101369569, 310.64891253570829, 311.54085717657756, 311.8298064264963, 312.88944991293164, 314.0597570749577, 315.21445575830717, 318.1506968003892, 318.43143379083006, 318.69930079550363, 319.33594291562554, 319.76467722988821, 319.97315013530408, 320.16004360389036, 320.44836120938658, 322.27087396411787, 323.52827794660789, 323.75241577558836, 324.76818955536078, 325.45449226729323, 325.65146025953715, 325.71552617186705, 325.81813484134528, 327.51736428539584, 327.81417052199026, 328.66511648307738, 329.27687592967771, 329.79453743976063, 331.73950677383874, 333.14228246488022, 336.21514594811401, 336.23839760809801, 337.20154816274351, 342.90281915184539, 346.06875348782324, 346.99249382279368, 347.17680398372482, 350.65480506314077, 350.96362886450675, 351.02011735917313, 351.79095449695745, 352.14531944257647, 353.17638528035354, 353.53745582976637, 353.77607331073733, 354.44999994122304, 355.29275944063642, 355.34231658309176, 355.87985959310612, 359.19911971687469, 359.94653784537348, 360.11060797729425, 361.02976915128158, 361.81017767632289, 362.14017607365417, 363.04141510737833, 363.30440260828544, 363.46692612987977, 363.97203392182848, 366.06688097386046, 367.10464043687398, 367.16697477487259, 367.8213686140669, 370.43430789767956, 370.48584301074658, 371.147802095641, 372.15981845500522, 372.19004922697707, 372.37233566006387, 372.65973744690422, 374.03896001939961, 374.41882023626908, 374.71336037065328, 375.54338201914561, 377.69002361944422, 378.70357944468537, 380.58515869332001, 381.93106006985124, 383.43057481170371, 385.27767370672495, 385.60598498924475, 386.25863426183241, 388.07712131597691, 388.76829989959049, 389.17560293475242, 389.21925466182893, 392.36912748872356, 393.75179510044347, 394.0772215364014, 394.89705354140597, 396.25825114598956, 397.56092421507452, 398.80142235936029, 399.26151983662879, 401.09412713119468, 401.67251266488813, 401.97543662976335, 402.36444816086845, 402.6363586948471, 403.38489819431828, 403.82600367239354, 404.13964858593573, 406.71948190660078, 406.77641014286115, 407.22410284004678, 407.50820187924063, 407.70159166305029, 407.7883761152782, 408.2247121793888, 408.49349025481109, 409.25518393299484, 412.17577154319088, 413.26622120622676, 414.12150245531177, 415.64247672844169, 418.82523056898356, 419.84329299638517, 420.91775069024783, 426.34478473394336, 426.77085888227765, 429.11701256361704, 430.64283899873732, 431.21653415628111, 431.90143886373914, 433.11179242112718, 436.07554932728408, 438.80993748819907, 439.17791216291801, 440.29403141897808, 440.47801936804245, 442.10577813711342, 443.31750796089943, 443.44887689239869, 445.39695640965965, 445.47129183432355, 446.13306700667636, 447.07479912525724, 448.45383906126642, 448.74775865164929, 449.44176119859287, 450.59259528790483, 452.88569775448389, 453.07056330772105, 453.27359779028546, 453.31409361741862, 455.031880395624, 456.4137052672238, 456.71837550831629, 457.63645777361774, 459.85663340752308, 461.03996496488207, 462.46326411315306, 462.57876687973055, 465.30661074690585, 466.45970142108303, 467.93799502777637, 469.55874362373117, 470.679685246394, 471.63292589944996, 471.94185851843605, 473.01574811454088, 474.98089382773122, 477.49232431821184, 477.70593085570511, 478.00080348158787, 479.86423244617339, 480.05460495958033, 480.84193909399698, 481.03773637433608, 482.66233707089555, 483.7015750494075, 484.62200834544075, 486.35208043338031, 486.80468717920201, 488.13154927639664, 489.42759126553119, 490.15885572814432, 490.97276416454201, 491.51948127391518, 492.19494104795655, 492.58218675383978, 494.46851749796059, 494.80904930424958, 496.47890158656571, 497.4440918452043, 498.27464985986882, 499.51167810028312, 501.95297214387301, 502.24794136602458, 504.04025359239654, 505.21132492914398, 505.97268207882161, 506.62397077420042, 506.74502974306802, 507.60893224253965, 508.25104924465268, 508.47201190704601, 510.67120907554238, 511.53644221589224, 512.16393709068882, 512.28294541841683, 512.43535304612465, 512.56414568499633, 514.85447337068149, 514.9851627118835, 515.77381533782182, 516.3132037682858, 517.22178060607087, 519.25669813807326, 520.21816493650044, 521.67806661166969, 524.34788095329282, 524.77919931533791, 526.38117021460903, 526.4939382201112, 526.91935070191221, 527.25099112196369, 528.15022883601375, 528.55858559579383, 528.92748210504817, 530.06269760007854, 530.31088326692441, 530.91353998999966, 531.81933824368673, 533.33617390105326, 533.81070147777939, 534.1186650158777, 535.11161275567804, 535.2793661728399, 536.34083058169017, 537.09779458071171, 538.25794963947499, 538.38199100371537, 538.41324758615065, 538.97802582651138, 540.13394464713815, 540.31876403713852, 542.06874948298127, 543.76029429988193, 544.65288112499479, 545.14760452081839, 545.69790148522407, 547.63942196829862, 548.75719991813435, 548.91311642857033, 549.66768777486175, 553.23654026261522, 553.93686793435847, 556.21710071692678, 556.42619221057896, 556.52246814310331, 557.04403077659254, 557.1088470678344, 558.96729864580982, 559.74607237479154, 560.92642776334787, 561.70128360076501, 563.89896657585075, 564.72161511544243, 564.9778531349308, 569.93728764208674, 570.03882444422538, 570.8773646451657, 572.40066402433831, 572.49297362632353, 573.30757116275925, 573.40444206401537, 574.44998657457552, 574.77394536192548, 577.89991814068105, 579.35763585580514, 579.41392852284673, 579.58677878867275, 583.27662695754543, 583.33032542166882, 583.77566974600336, 583.98125798485751, 584.54067276920671, 584.88893284566382, 585.25170579063354, 587.93913163573507, 588.21943424610959, 588.86058031875268, 590.58932558095614, 590.63263732541736, 591.68432759168536, 592.14910199782139, 592.89638221510245, 595.52062506773302, 595.84966550236743, 596.00004895759423, 596.74763667762477, 598.65551045401355, 599.59684042857918, 599.82388541595947, 600.30948448053675, 601.5814477688956, 603.99210352086959, 604.03278909470578, 604.27763305806479, 604.31376853480481, 604.67356177559373, 606.15782552217615, 606.79884737450357, 607.4299796178932, 607.77535479892117, 609.8357283982358, 611.73931892435087, 611.96960207621225, 612.33974534974698, 613.04735472319385, 614.62426430137316, 614.8140134817038, 615.07776716261003, 617.35412431853888, 618.40082373795474, 620.18650213455601, 621.50260680950157, 622.93625470702671, 623.15871210505338, 624.01821079889692, 624.60763149285219, 625.3040981093726, 625.61087994031936, 625.93665615757982, 627.00240857876793, 628.6949226661103, 629.20922277473096, 629.76946238408118, 629.81079479585549, 630.07498596938115, 631.03475984765669, 632.32901953422459, 634.30268390837182, 636.98738869345436, 637.68982199059326, 637.92128430161642, 637.95233917379574, 638.41788772006919, 639.85078378423088, 642.6010649382996, 643.34828218789619, 643.39094467763334, 644.50967350348492, 645.5240750575158, 646.46753582367126, 646.72760728955234, 647.30734198468178, 648.42112005747322, 649.35093182436515, 650.30843507246141, 650.70714842412121, 651.62322127433004, 652.08879238666134, 653.83552226728659, 654.75646542449488, 655.88368308064412, 655.9922645942346, 659.94810776092106, 660.19971559637304, 661.61663849567094, 663.41044453654274, 665.8138531972113, 665.9014202401205, 666.11996870669407, 667.82617632149652, 668.2454149913259, 668.90623159545794, 669.24962616537096, 670.06390974823842, 670.97954897610907, 671.6633626359428, 673.5598928116932, 673.631628144096, 674.16967180565905, 675.34618272442435, 678.66050461533405, 679.21403111425559, 680.1896739165835, 680.91405920309319, 681.14621681029359, 681.57966608312779, 682.84301075456472, 685.26205809324767, 685.55208118635949, 685.74586869486723, 687.19929409763972, 687.70335926192774, 688.0516731882808, 690.21037580946199, 690.71873877565974, 691.77397067960771, 695.04070201179741, 696.01955212015446, 696.74691401800237, 698.74705993198825, 699.66352491428529, 701.62416219709564, 703.52509195040705, 704.43889750070707, 705.31378766874559, 705.52190417449515, 706.17572534104909, 706.59522111494755, 707.30127044115034, 707.36145003388151, 707.6212315941923, 707.75721103749765, 707.92014034885165, 709.0286712929593, 710.25181697247228, 710.47923953081022, 710.75651921579276, 711.21316807500011, 713.59926014518157, 715.52358485739558, 716.35310459839536, 717.60616918244318, 718.1574221917117, 719.20480692400236, 721.79062360656121, 722.56792940307946, 722.86816611618167, 724.41602680879737, 726.65180654449375, 727.88588757428238, 728.06787623588014, 728.09893842517226, 730.02785372701373, 732.67197590163562, 733.31080231574254, 733.83600018970458, 734.694623895576, 734.82802064555028, 736.37188667400756, 737.23641196959375, 738.74864395091583, 739.16324195904213, 739.97871539317248, 740.36329830946511, 741.27349825415206, 741.91270693341528, 742.54862137081602, 742.63079569742433, 742.9564689795385, 746.19473411490162, 746.34946173115532, 747.54143264453853, 748.95041549312805, 752.42564139059698, 753.05864931431984, 756.22942053041788, 756.92372398506393, 757.488378568759, 757.94622006632005, 758.34858812410255, 759.82406653133899, 760.75415229624832, 763.36965493361424, 764.28071485746227, 765.37486806856032, 766.71120082284813, 767.30403494549057, 767.63003950612881, 768.91541106098339, 769.14376118528446, 771.70313275627529, 772.12985685019305, 772.18232601080388, 772.51296915394244, 775.20552663176045, 777.09245058730369, 778.13700489509949, 778.34958497920366, 779.81732315213742, 780.05335522924406, 781.76463745924639, 784.7222788950528, 785.63543988419065, 786.37108710978657, 787.97750096267634, 788.11380025353026, 788.31974654768169, 788.59859445382597, 789.42314664813694, 790.35379007928952, 790.76709232131998, 791.56569677730397, 793.0981306931393, 795.24781003122598, 795.53194298935171, 796.70233812710865, 797.34113998009548, 797.5024555559678, 797.98084987708296, 798.00889071875281, 798.94501462547169, 800.10054820845517, 801.71531530566574, 801.87607431332719, 803.28704419283224, 805.08267003460787, 805.39443592643181, 806.70976290676992, 809.42499094638674, 809.95303990996456, 810.56076028121004, 810.86654905612988, 811.91058620304102, 812.66938392641418, 813.18174589842738, 813.53159342506046, 813.56013172622329, 813.8896452567941, 816.42788812004642, 816.85104888649698, 816.92192637755522, 817.51629326671082, 817.53992981042825, 818.19973111008051, 818.62701627792183, 818.9746593840897, 820.30357096125056, 820.80773976314185, 822.007267412077, 823.48654928763426, 826.70340378774517, 827.08271684089925, 828.8260777032217, 829.54642809179722, 830.23173039145831, 830.79422483485325, 831.61547259803956, 832.13020970441096, 832.53170898976475, 832.82535542726873, 833.77350930154978, 833.99502145000531, 834.0349911409902, 834.09556159970532, 834.94244496099361, 836.39982801824249, 836.61954258412902, 837.23786294008642, 837.25994240102671, 839.10715497239028, 840.41339599257128, 840.54197773409624, 840.59226929694046, 841.2801007187478, 841.66998730097134, 842.40405729497149, 842.68725182110381, 842.86347549199695, 843.64208393688443, 844.1868285066522, 844.96587030531543, 845.28827234581559, 845.72080583197749, 846.27943069821947, 847.25884346047008, 847.48369129885373, 848.54848007589715, 849.42719253751056, 850.2221045991605, 853.93864628375297, 856.7726728701839, 856.87137788374002, 857.0027616400356, 858.08251586868312, 858.24548391067481, 859.35376783447509, 863.13053150148357, 863.59002093773108, 864.32055564906807, 864.58204193181814, 867.16567848437876, 868.16333859011456, 871.0510510932603, 871.33783938116233, 871.51373030553452, 872.49622689524779, 873.1975322945965, 874.93804205602032, 875.85488831591897, 876.13510623879847, 876.38297339748249, 876.5696155265365, 877.04511158700439, 879.53900035934589, 880.69810395450975, 880.98285642551184, 882.15096721559951, 882.37828087259936, 882.41798558158428, 883.12767379952345, 883.39424575374062, 884.32711679601778, 885.23593334435282, 885.59807253842223, 885.82854473006228, 886.12510701848385, 886.21976939441822, 887.16488522308578, 887.4897055369936, 890.04621988397423, 890.35784471656086, 891.68649997342413, 892.04238068170855, 892.15521608209315, 893.21249224812664, 893.47605422875165, 894.9579043454446, 895.24241404826103, 895.32619912282291, 895.5846264473571, 895.86472198975844, 896.06339655959232, 896.95678533050841, 898.6427974192278, 899.2300233045911, 900.32888525651674, 904.30275383010576, 904.38641055049868, 904.78741022653139, 906.00611445279083, 908.50811859112014, 908.61082992550917, 908.77574605944505, 909.60501480905714, 910.59210730770064, 910.77455123556149, 911.21492751524875, 911.34957678996534, 911.45863656468839, 913.42028072290327, 913.71979898661789, 914.23638247561905, 914.34412743916948, 915.08869102322694, 916.35618461229001, 918.27506796347939, 919.59475273960163, 922.05913638913194, 922.41797909870911, 922.45746526922665, 923.45790925693234, 923.67996037266096, 924.80442937007285, 925.42989984443045, 927.26855520168374, 927.56124309214204, 927.58624956752146, 927.60638582704519, 929.48336803822019, 931.42638867427615, 932.84194994388326, 934.62789751441869, 935.70087349154937, 936.10878756082911, 936.47187769740106, 936.93156154026815, 937.52082283215293, 938.75600848222064, 938.86403324059029, 940.47599793730137, 943.58572994653707, 944.67632956946829, 944.84494040781885, 945.30411413795264, 945.43972306302055, 946.20843586281671, 946.56986338994977, 947.04690661858808, 947.09990424176374, 948.2496620839014, 948.91003670662053, 949.37848914168353, 949.44157628313951, 949.61132548187356, 950.24691962072495, 951.85078579312278, 953.35953116788346, 953.69701979157742, 954.60864445219102, 955.30933302290418, 956.36225424683096, 957.8908336137282, 961.47528046040543, 961.84085098236653, 962.85273523094008, 963.49358945787912, 963.60792703646587, 965.78577773240841, 965.88881275833899, 966.62101648208363, 966.85425807559523, 967.25265749452092, 968.11829865945538, 968.27492230251528, 969.08420410533517, 969.10948721729915, 969.172125196509, 969.91297840240441, 971.18271150478063, 972.87766213300085, 973.46948755194694, 975.32829189624317, 976.6410057150473, 976.90400681100505, 977.26811503455531, 977.92448010519536, 978.05455253570585, 979.70739122704583, 980.62864602147692, 981.02171419528986, 981.5782295370708, 982.61591693574837, 982.90781947205858, 984.26441946660987, 984.83921302559656, 985.3991300724548, 985.92265636409206, 986.14004240726854, 987.91186496626199, 987.94703090166695, 988.52995736513344, 989.77812590303517, 990.19520337624158, 992.72919568914961, 994.30758072566437, 995.23835574101133, 997.64632303666212, 997.68221788279095, 998.60324933962568, 999.30593930681448, 1001.2560627893075]),array([34.254489953443468, 34.337152360826515, 34.372939528320238, 36.691910143870174, 38.315089318184107, 39.934512347556208, 41.041289655267228, 43.54280254924646, 43.981907843473969, 44.810242603066726, 44.937587121732321, 46.158195039517558, 46.362921073528696, 47.139634256876057, 47.469244674843544, 47.492090392952854, 49.476752933837503, 50.736870034662381, 51.649291245947254, 52.98218623968242, 53.438488242077582, 54.237457423380356, 54.259552465600976, 54.573086939284323, 55.417311897443007, 56.00474671496162, 56.585697669457666, 56.668043342484566, 57.438987032636305, 58.487344607083998, 58.628420954942428, 59.105863802179549, 59.414377550612222, 65.106563610134941, 66.023696119815867, 72.150493470856858, 72.432825594805607, 72.579038963599061, 72.747602352832104, 72.813477668758821, 73.734032875179068, 74.724066573351124, 74.926193630600025, 75.130634382553737, 76.318097392620743, 81.168781393350372, 82.541829617917543, 82.672146529847339, 83.270859960606927, 83.377341324953065, 85.967876182834942, 86.43821893744817, 87.502685118413041, 87.873868829601847, 88.587396773890376, 89.556205391430041, 90.875482558780092, 92.899556210656215, 93.358787645499433, 93.385479938282046, 94.955698777069898, 95.191514061891553, 95.299776608754485, 95.732567985285883, 95.947142098431442, 95.989912404364418, 96.158341848786392, 98.621465324825579, 98.70282619960831, 99.550080740763292, 99.898248444703071, 100.90797469226042, 102.08301879534947, 103.23458246621763, 103.26077668042542, 104.08791258649455, 105.13646744117183, 106.71191348675285, 109.7178663953232, 111.70431464442748, 112.14864215425136, 112.38433352362219, 113.26842945009102, 117.35117094163513, 119.37830821510785, 121.47784860185797, 123.35365994768135, 123.81050597752484, 123.86060818674126, 125.61380309933141, 126.53966360589899, 127.9197315320724, 128.74555989274916, 129.92947577988997, 130.24148721246087, 131.10526885671194, 132.42016589022737, 133.43694030579599, 135.00789955629253, 135.39249683468287, 135.54769584550647, 138.35033926660938, 138.94404409605724, 139.26643580295996, 139.49905486697179, 139.89175096938783, 141.46687744236397, 142.1897197075948, 142.28230972771343, 143.8357025941097, 144.1838547517431, 144.29662354144975, 145.21171644977426, 148.21602367545162, 148.84136096324542, 149.16880858879935, 149.62925945758738, 149.79596423235191, 151.47424057508394, 152.00596907582673, 152.23218956295531, 153.67302205627527, 154.11744496408812, 154.70007341259216, 156.61554276077058, 156.71382200678516, 158.73399966610728, 159.66872714427927, 160.6109973123765, 161.31083550925575, 162.60557336995333, 163.05377033442556, 165.70410217851853, 167.8929719455848, 168.86647144342172, 169.17669951667182, 170.18907286502304, 171.64073939850857, 172.08471411478072, 174.05367940417156, 175.07514935739457, 176.86425433716562, 178.52387668940531, 178.90052192626371, 178.98169268759082, 179.58583889557437, 179.93574530825919, 180.14959594995227, 180.46444285093699, 181.28239715896021, 181.49906604942871, 182.40981846325536, 185.65794517966413, 185.88957079987406, 186.2989552603743, 186.33426459264112, 188.18641257649935, 188.72644403071334, 190.2070893624294, 190.43297969705347, 190.59931954879249, 191.79622608462097, 192.4539443775227, 195.26552771784401, 196.20532614304724, 196.60021379273684, 198.09020709352151, 199.18319867000716, 200.69233833533841, 202.4019923832989, 203.78825014450129, 205.12833744267402, 205.32798397053787, 205.69093726620051, 206.42012421748336, 207.48448490904548, 208.08884654396701, 209.68669839222468, 209.73715374980787, 210.11968300115419, 210.98121483617345, 212.65058477110691, 213.54053789011988, 214.0205563965618, 216.10723712724121, 216.4357544109067, 216.54376575131667, 219.45019436429757, 220.1356231987896, 220.21956572115033, 220.51044523234424, 221.19841982563594, 221.25493880704639, 222.07211242020057, 222.72641379299623, 223.44814143349652, 224.96936675929703, 226.464153450259, 226.54376493422365, 229.74814830419533, 230.51459155920341, 230.64294007175778, 232.58779363090525, 232.69688436245679, 233.72382877316221, 234.94567811123304, 237.00571669207915, 238.01648354539662, 239.87795003011243, 240.15558008794341, 240.32575105466523, 240.71992100450984, 241.15487172911352, 242.28739744530634, 242.89558637402683, 244.10734438789351, 244.74862640956533, 245.3299587169036, 246.42315076338028, 246.48949101050684, 247.33660505060158, 247.83428692294052, 247.91737735937147, 248.31934001350058, 249.89813983367054, 251.00795210389529, 251.06802171906116, 252.78154630097612, 254.18711362590383, 254.23656559641256, 254.52349356182896, 255.64544669912115, 256.01461398744976, 256.23317146366389, 256.31375519066006, 256.48061817577559, 257.40352440698649, 258.41365582241281, 258.52164355614184, 258.59899967618549, 259.53635155605178, 259.96241115784829, 260.12107513271258, 260.57064942798934, 260.91935839079292, 261.27948191774374, 264.57759738586566, 266.62419870857929, 268.14419357342433, 269.40725772685261, 269.71115986484648, 270.509642120009, 271.48202851041106, 272.65209059873496, 273.6427776702152, 273.72958346972456, 277.00189576306059, 277.50041903272057, 279.49277454525298, 280.11008130864349, 281.02208217161734, 281.3144380842507, 282.25513780594326, 282.49456135647733, 282.93685431365725, 285.34970747405589, 286.48175368470521, 287.36761972589005, 288.55007665461983, 289.20674430508535, 290.70998696053431, 291.80557970665461, 292.03322759604333, 299.8115943909014, 299.9622537471281, 300.65661682152086, 302.60457105028075, 304.03433780132309, 304.56405466707264, 305.27943868202345, 305.73517774552067, 305.9464602160723, 307.89769366191189, 309.13412095115706, 309.16577697383292, 310.19037354354026, 310.27932950947474, 311.5716968477002, 312.16658326825632, 313.53758199953387, 315.06874138816767, 320.92133883165252, 322.65417284607588, 323.76913222057374, 324.75945874593054, 325.17362735482209, 326.46539877804537, 327.07640343393882, 327.75189011865115, 328.21086406934853, 329.40369173139032, 329.48394458817802, 329.78205855009776, 329.94188308927443, 331.05677829180871, 333.2491056948092, 334.4796995300191, 336.15872226499289, 336.78248782338426, 336.82602512617484, 336.90461273166272, 337.08696619212026, 337.32531581967157, 338.18520076994855, 338.85199602978804, 340.0597183497901, 340.44069184024767, 341.14597397038995, 341.43044445405752, 341.59264225509014, 342.2262544147876, 343.60857391659556, 343.65430019652416, 344.57561260370574, 344.77600545014127, 347.76953199914374, 349.84616675778562, 350.59800143596152, 350.63128894194648, 351.41118267446609, 352.27264202834539, 354.93935809895783, 354.96218801181783, 355.08225502263707, 355.76377858701159, 356.88288902808051, 357.18486814084497, 357.76690583291372, 365.61595596493481, 366.4951969587537, 366.5202909826084, 367.60752043676291, 367.70137617156598, 369.193734474091, 370.52863433998937, 372.76822063820117, 373.20424304569372, 377.21172782376743, 377.61110257134089, 378.05875515605118, 378.44547523503718, 378.7179943312824, 378.95450408313678, 379.89531542120022, 381.78646830933064, 382.83129393727813, 383.51333865693641, 384.25904628981067, 384.29889891723371, 384.49175411159405, 385.46815609861653, 386.8522868437754, 387.23167366256325, 388.32269189754709, 388.94608861946165, 390.20279168143264, 390.31916390238376, 392.1070799648424, 393.92093550211729, 394.00394559149095, 394.32564448747695, 394.43928531120622, 397.25944325987581, 397.94584473776138, 398.28494554518778, 398.61349310369383, 401.95397472121209, 402.83118718929342, 403.23241459076269, 405.77279711521078, 406.367239486453, 408.21267045827574, 408.33151599919802, 408.96281650518591, 410.78818733732118, 411.0384825683505, 411.21215478954088, 412.92664317348374, 413.57740722594787, 415.6105264156252, 416.26794839619532, 416.94813759527295, 417.40945316388837, 419.3016513579073, 420.29488086742333, 421.79629668490702, 422.38362655889523, 423.64920473233917, 424.09654498394036, 424.48927543489458, 424.94102706962161, 425.24129698987906, 426.4451192203677, 427.27212148631395, 427.37393198432721, 427.91713963198151, 428.28414976664357, 428.33206323682754, 429.31065355415279, 429.52821770803592, 430.51029043735008, 431.25858232662273, 432.0567896381952, 433.43376271571981, 434.46962954614764, 435.38659808449415, 436.57931463931902, 436.92078998578251, 437.52044684841161, 438.16590594624387, 438.94577915583852, 440.12112189128391, 441.09242743814906, 442.27458906795954, 444.04331468021763, 444.94658612486666, 445.19219078379496, 446.13706190719449, 448.39301607879753, 449.23893760479478, 449.61553732471731, 450.12773790197406, 452.50302132987196, 452.86011644912685, 453.56636446685957, 453.72620687715317, 453.9497634163651, 457.20507968706005, 459.36143737942558, 460.13270908191873, 461.55477705443002, 461.85639437308657, 462.5428432042861, 463.572471410643, 464.73151098077574, 465.15930019859962, 466.87369596263312, 466.90800651345012, 467.14103162354388, 467.43474019793496, 467.85690855189432, 470.38904897682448, 471.13698981125953, 471.80648407050234, 472.65279613412355, 473.27098523590104, 474.15934278695045, 474.52394968122888, 474.73154974835359, 475.69064973734464, 475.93993895754238, 481.7093875648506, 483.88607509496245, 486.83722529017211, 488.55685268273703, 489.20909049016626, 490.23493628113243, 491.20557068363757, 493.0319898723339, 495.58409347822084, 496.40275937085244, 496.55678088513008, 498.37838228747279, 498.48389209166777, 499.45641123687028, 499.60178264009153, 503.15974914121347, 503.39139414574817, 503.55364955091994, 505.81884539960816, 506.16427879350539, 508.08236236566216, 508.21373546838589, 509.01036563230571, 509.71477924323773, 511.76546868269537, 511.80887869942489, 512.09106247804652, 513.25527037366942, 513.45750066900223, 514.22373564576742, 514.76807456606946, 515.54026303550154, 517.27548023330928, 517.56081825681019, 518.05531099744599, 518.57634233909334, 518.61967736605311, 518.66792852533274, 519.08931542319465, 520.32226234050154, 522.61552823456782, 525.51343694898071, 525.94392506604322, 526.85054912051942, 527.64368228582714, 527.89401091272487, 527.94118042133789, 529.23844380212597, 529.84035897840761, 530.90314040365024, 532.45263087382398, 533.21854295446974, 533.78045441398876, 533.89361108583932, 534.47614177831861, 534.82145051032262, 536.2135386403362, 537.08799815483269, 538.48941183154147, 540.548142381449, 540.71322682782136, 540.86279585811712, 541.10904523582087, 542.71392705700737, 543.76845159286165, 543.85241789401357, 544.11957465864691, 544.31453931430201, 544.52159434074247, 550.25516697088631, 551.90393679379474, 551.95890834762508, 554.08922793089903, 555.72684935973575, 557.19271775845129, 557.21980259101349, 557.87512730140668, 558.53293983828883, 559.81884434445021, 562.2036380375871, 564.26627324299886, 565.09785105944866, 565.75685646389832, 565.99632915120105, 566.06327649595755, 566.23777682129878, 566.4327971613568, 567.13098171522188, 568.59541887481896, 568.66490023755819, 570.58081727005049, 571.03638628758836, 572.50255008009231, 572.59380609172922, 572.98056405790419, 573.04151638499877, 573.35332660237043, 574.28093440511338, 574.83236573187423, 576.70153885190041, 576.88228021435077, 578.49910780446271, 579.07961781259462, 581.66459781423634, 582.1133260502238, 583.65450570384007, 585.10159336546963, 585.98028493692061, 587.61948345139376, 587.74902724416779, 587.95197279611887, 588.41002115715219, 588.88888056977976, 589.09797578617679, 589.77562483668976, 589.8419068814801, 590.11673624500884, 590.21889470965709, 590.26785055958021, 591.4990960045784, 596.76656951789937, 597.35568598823829, 599.60215913260163, 600.22142215578879, 601.01054599014606, 603.19923292264832, 605.87940492828159, 606.83993022662207, 608.39282276311621, 609.00535458922786, 609.51613770085851, 609.88425545602354, 610.30715191717934, 612.02745917610252, 614.71812374399281, 615.96348641848999, 616.79516252744099, 617.62965534835757, 617.76421047390693, 618.07466780492325, 618.41578788753134, 618.52807566676358, 619.6739460719167, 621.3949887581374, 622.29236490779886, 623.86999023356816, 624.96547851406717, 626.82105671629665, 627.13866460573752, 627.34556107520405, 629.41324002766362, 629.59934090045738, 630.48857791474131, 631.53010645657139, 631.65617191887145, 632.55237266532583, 633.59327672288634, 634.16516654176928, 634.73132405181764, 635.06272772456703, 636.68977699610548, 636.9943247516062, 637.21183894025216, 637.67989145660897, 638.31913865427953, 639.77412288168478, 640.20137426260214, 641.17112709274784, 641.57867155582051, 641.89449078558334, 642.75465115260647, 643.04748718194332, 644.29855776167813, 644.70848846508386, 644.89199121198772, 645.75752177698894, 645.8024783397376, 650.17381973515808, 651.1400866985623, 655.34547181723724, 656.29675976878389, 657.53068978486419, 657.71108495246324, 658.56505788099275, 659.79288998883533, 660.63808572979076, 661.74879931746909, 665.72147663158012, 666.25317091121542, 666.58741204299952, 666.61628761529005, 667.90510458264293, 667.96567173854851, 669.36264311034745, 669.63996258079067, 669.96159455985901, 670.78570293594066, 671.15553256979217, 671.2442981978943, 671.9678437021247, 672.46723020010506, 672.67335151253747, 672.72414170110301, 675.07451678784844, 675.55150639660485, 679.34755582410367, 679.53356361844897, 679.67920487377501, 683.81707490289989, 683.84042241008649, 684.91912641208478, 687.49484352738909, 688.047101800419, 689.20235926332748, 691.10243153288116, 693.50919436370225, 693.86666787279239, 694.42297124891752, 696.19334227451486, 697.29930333317725, 698.11073083553856, 700.66417580199106, 701.54722006995485, 701.62864845686556, 701.77353910410886, 709.93847309586215, 711.36886283940396, 712.92831769998008, 713.34410335888253, 713.53278822522282, 713.55604448283714, 717.05018468641242, 717.42425597695399, 718.95384267855422, 720.92950578507816, 722.46865505391509, 722.51149800109761, 722.62119473691598, 722.8658189316069, 724.24926807418296, 725.0069804334538, 725.45398887088299, 727.95157798224341, 728.50431480752013, 730.88747326297459, 731.69814653462072, 734.22940982793455, 737.69331326259953, 738.16559361020632, 738.65947055955166, 738.91313750100574, 739.05382115642681, 739.10570955129822, 744.40785948573557, 747.7367744319746, 747.78601680479574, 748.14315161234799, 748.53348285591824, 749.77456448012674, 751.50863666354383, 753.17026971685993, 753.64572134150615, 755.65205702058131, 756.13690337408627, 756.8606771887446, 756.99793990478395, 757.76800670801219, 758.11458993222925, 758.15629536964298, 758.50214465007718, 760.46724217413828, 761.33397430159596, 761.42992515346498, 761.58207537698581, 763.62601835329724, 763.75367204808731, 764.26485141577268, 765.70803581763073, 766.63974480652394, 771.43316012716059, 772.77893634052839, 774.30407547254174, 775.28134255836289, 775.33375135023721, 775.93334830921867, 776.14404609904182, 776.4611279053488, 776.73665369037315, 779.70384691250649, 779.87517662219568, 780.1772977881302, 780.23485576332268, 781.46370373534558, 785.41680726625236, 785.51021901292654, 786.07344955517215, 787.40933254260858, 788.53985659517252, 789.26138336351642, 791.31456554265549, 791.62477372048352, 793.01150552583317, 795.85068427166561, 796.00931096678335, 796.45103270733284, 798.22366286710746, 798.82243228965319, 799.5569079884956, 799.81051036033807, 804.71752263104224, 805.65262708230409, 806.25332602211517, 806.71030038468564, 808.31494148047409, 809.05804751852827, 809.91403859612296, 810.32077596134195, 811.10091248524157, 811.99489676429653, 814.15437191844569, 814.37939551640579, 814.73964888580747, 815.50875937977219, 815.53159201195228, 815.61309490215683, 816.48525883482864, 817.27333380278128, 819.57465688789364, 821.472539249085, 821.73897866741697, 824.58536714525394, 824.77605219355746, 825.50556365383727, 825.57588367934716, 825.82752403290135, 826.06815077923591, 826.46228184918425, 828.56168768564612, 834.33026718573581, 835.00324207555923, 835.27627264969487, 835.40013531905265, 835.93165475258945, 838.34124950454986, 840.05453174568402, 840.50794972649237, 841.30043507166158, 841.66570844470209, 842.36226218424281, 842.99423039957685, 845.31025436846653, 846.08726726655937, 847.13320452434539, 849.0367665282472, 849.43230509170405, 849.57534237806317, 850.35568709067445, 851.59206418070289, 852.64881055052604, 855.54430656391492, 855.7483671983216, 858.34303894218522, 858.78960079668877, 859.73739286440082, 860.71229095490889, 861.02080748675712, 861.84659670857036, 863.38724470427678, 863.77852474250335, 863.80560933595359, 864.31006334057633, 864.45576303576047, 865.29336694642211, 867.21539507047612, 869.61326294355729, 872.18657599121605, 873.46132272911439, 874.98193747427911, 875.27242337315158, 875.30649132359019, 875.33128949093577, 875.43520161105914, 875.97146504866691, 876.68140031192388, 877.0243513983894, 877.44092837834103, 877.62095947308455, 878.29072552293781, 879.62737461435677, 881.17256599274924, 883.40188116015258, 883.85179013981474, 885.32954689533983, 885.6839570732111, 885.85887701326067, 887.47997838291235, 887.93928632532095, 889.27120657541354, 892.28289528006201, 893.47733289634232, 893.55752938908608, 893.67202548267312, 893.719955636132, 894.78992883641308, 895.11998890395728, 895.42723173754609, 896.15216744407292, 901.92442554280399, 905.69443674570084, 905.71789531037894, 905.89184559676812, 906.37420181540631, 908.92812970898296, 909.45095932360516, 909.79162507284207, 910.62928771313898, 912.45558601147525, 912.72536135329051, 914.68032796428929, 914.81757615038271, 914.93127429006051, 914.98786448241333, 915.83607772887251, 915.97894288070063, 918.71847973936372, 919.33405266826708, 920.04310882327798, 922.13969855329367, 924.14922671767715, 925.80808977600486, 926.81320524021214, 927.0574810836988, 927.24988700378935, 927.90153990268641, 928.08103885733533, 928.31219184840177, 929.54103402285352, 929.61460302149601, 930.63433014829934, 932.67210651552375, 933.82442137561316, 935.64314797606062, 936.09555932747332, 936.23068612942927, 937.17768173497382, 938.08993494738979, 938.18277960221383, 939.41270872187351, 940.99030378257396, 941.86424265919891, 942.5146097769491, 944.03540759803991, 944.8431234556889, 945.41642839523206, 945.649035233105, 948.2397289499844, 948.31981342627648, 949.48725431333776, 951.42610284226373, 951.60798654401299, 953.70397000777837, 954.14485260073479, 954.5466337469951, 955.49038133440001, 956.88706954293741, 957.28104416066435, 958.17550623086038, 959.12908212361572, 960.84662665768349, 962.06477700425285, 963.12220177741108, 967.7680318825943, 969.17850526819234, 969.30179830538862, 969.55910043307358, 969.81401663136876, 970.02892647181807, 971.28446980841034, 971.60167077980725, 974.52871249867394, 974.79098142321823, 975.10095620470418, 975.40020200784784, 976.5624614259151, 976.60213977463582, 977.21383784641375, 977.48096792878357, 978.03644997311335, 978.46909068339744, 978.61754882461742, 982.32440369581161, 982.36163073513251, 983.99197869617808, 984.20997125862652, 984.85840412606456, 985.07458113956295, 985.17505589735981, 987.81838607802717, 988.36219392730368, 989.16891257056409, 991.97062293324655, 994.7085040937277, 995.54811751743966, 995.88170560115736, 996.31687057897204, 998.36522777363427, 998.91727544493165, 1000.8386415617406]),array([60.983138165622478, 61.239162771312884, 61.848536378120897, 63.489760309307187, 63.625068812782501, 65.56549774104424, 65.861997825805446, 66.745528714572956, 68.646754946433433, 68.711399440529391, 70.257670975294417, 71.410700226072962, 75.162563860514268, 76.104837951691636, 77.400887818115962, 80.545756866967196, 80.927750322521078, 81.060956359382516, 81.400750033375729, 82.202724256124029, 82.512707861805296, 82.728700993938787, 83.86644855777584, 84.170375099635038, 84.956732480176868, 85.829662547789837, 85.914488374986632, 86.061563579858429, 87.440875822449755, 89.525978954405545, 90.752510191809549, 91.468104594207489, 91.786720328573068, 92.789575255049073, 93.413736835422171, 94.633422914952348, 96.920310388371277, 97.047084204992814, 97.67951155050568, 99.426957593864273, 99.679505391843222, 101.82923444059064, 103.94447049303828, 104.24445354497654, 104.98724102276796, 105.55413878348077, 107.52636785295083, 108.09288974988583, 109.53238054605319, 110.03471144808026, 110.10365767033385, 110.17321546849328, 114.09681668326466, 116.56901926385652, 116.90165780505221, 118.38959963096966, 119.30508469172851, 119.8858408019077, 119.97255536382474, 121.54555990356869, 121.91691856106452, 121.97435002256061, 122.38759242649654, 123.14657509487716, 123.64172142332941, 123.67989163345433, 124.40009557645958, 124.52816387293944, 125.40630299192962, 125.52593237343314, 127.94453116576882, 129.44237361940716, 130.04332083273965, 132.71541511721389, 132.75349004756401, 132.84428922048338, 133.8846668360228, 134.32760256662365, 134.43132228628582, 135.71924014590641, 135.87041115211224, 136.21424372874165, 138.59694092405081, 142.07638238284025, 142.11093625083802, 143.43677194300108, 146.12454153481156, 146.15654542518789, 146.42587718159669, 146.70807878842601, 148.50381445106541, 148.82348178493729, 148.86617771187917, 149.35680428727062, 150.77973476993225, 151.71295518940792, 152.20024254889358, 152.53348750931048, 153.13715909419699, 155.01161844337167, 155.48210327860826, 155.52457190334397, 157.79177241783654, 164.76898605434226, 165.07247675528561, 165.53156446714294, 166.53139944712774, 168.72683251750993, 169.70831235388283, 169.97821605207179, 171.67241150657856, 175.07901142120238, 175.16133039726893, 176.54951539384302, 177.66112315891363, 178.00810430358155, 180.40166388934423, 180.93946070571562, 181.86868287923477, 181.88871925904994, 182.30452119963286, 183.24376178137223, 184.08030612330109, 185.16856518703977, 185.64368899419358, 185.97403863798044, 186.61210557302027, 186.84703687378772, 187.87890296981365, 198.11043725151691, 198.24499618262132, 198.3368838248237, 198.68881279952714, 201.3096587889496, 201.6944871030723, 203.77878547742139, 204.089821381973, 204.16737789704504, 205.11499694406362, 205.57085610429485, 206.02774242776152, 206.45978521150107, 207.59980374177732, 208.9541471813618, 209.0559870130862, 209.76327079043051, 209.85922986628191, 210.08532061129063, 210.85384257364973, 211.04454250361414, 211.72425356837755, 213.2190833316179, 214.06340588841192, 214.48046672563973, 215.72166657123353, 216.81392344529212, 217.67963412171176, 219.32401398667736, 219.72456446282072, 219.87023858662681, 222.48473185330923, 224.28185990841206, 226.79999352852701, 227.60489821843777, 229.55230155491466, 229.7089683488766, 230.05431522451849, 230.648710911347, 232.763932864113, 233.74683104459191, 233.94278538033043, 237.65285191631764, 238.7146598512501, 238.97384874652701, 241.09258873568962, 243.0274628113238, 243.69550118477434, 245.51048375934556, 245.99076665134234, 246.76403992097977, 246.92650649266656, 247.21239963621841, 248.42292093714528, 248.6113734580056, 249.79617708411871, 251.30657740512694, 251.79474934053528, 255.19135651671957, 255.55396636439914, 261.1680669924454, 261.48738499655934, 261.87706777710213, 262.2772634875227, 262.78835001685343, 263.67293306316657, 265.23899062879696, 266.07904013729024, 266.38507291402158, 267.32518572229884, 267.44852532853713, 270.62074525083921, 271.62872772864256, 272.95402525669374, 274.54868640495931, 274.7363592947392, 274.9625004778656, 275.33568866667144, 275.60229117764425, 276.25221689089187, 276.77514984055802, 277.52243003046806, 279.61780767479371, 279.82889178074134, 279.86267275859899, 280.65626262369062, 281.15055009826841, 281.38223455665781, 283.30946411640508, 287.78809295696112, 288.02921332440644, 290.42423220563262, 291.68582157412152, 292.85022789894214, 293.16066698156817, 294.15589426771965, 295.00371921144182, 295.19250221164856, 296.30354702296648, 296.6075625774551, 297.45257372580454, 297.62547450678869, 298.9364546042334, 301.62888466778389, 302.4160126533078, 305.45347433930613, 305.8559228655019, 305.99657162812991, 307.45597779161068, 308.23940371557461, 308.50817557579961, 309.02556368756444, 310.32644933226089, 311.26260547948311, 314.03983151216778, 314.21156883955604, 315.13454146253832, 316.56266183272356, 317.51568350179178, 318.63606092301956, 321.6429827652986, 321.70395214344143, 322.2586436897123, 323.39745571858589, 323.6737757979231, 323.86871739880041, 324.87165312559677, 324.89962738746783, 325.92511970050214, 326.48552887982805, 326.68456125187055, 327.78680821436961, 327.88153399617505, 328.33173544162605, 329.07872887352227, 329.45496215104367, 330.29006485975447, 331.62861092778684, 332.01963970798317, 332.15796137848173, 333.48058145632803, 335.49420252746188, 335.59369652023855, 336.45160301404587, 336.82915216626532, 337.75139581420115, 338.6610121479593, 338.81658594332146, 340.10098424399337, 340.79417194984296, 341.16522018930289, 342.80463213912992, 342.90709755624067, 344.45862583963014, 345.38739753934578, 345.87450244969006, 346.39543622923975, 347.16060559323466, 350.64948016698077, 351.03733097499088, 351.17780432760941, 351.50735876841713, 351.8484603252187, 352.60564652659269, 355.24009699710228, 355.40316400236048, 355.74391429617941, 355.9327078243403, 357.79060726296234, 357.91284620376337, 358.36735747813356, 361.98876911507824, 363.79724476925412, 363.90373507164787, 364.30463509171602, 364.41269057537164, 364.68597765337074, 365.70143349036249, 365.80249773790985, 366.68680641058546, 367.56437879444582, 369.62100293718464, 370.40676739170698, 371.81822162877171, 373.77745314661627, 375.17065103366781, 376.04395002353897, 376.09835409485311, 377.16167345275704, 379.04170754164153, 382.50336821978476, 386.51248490161657, 387.25459943666732, 388.32919886037814, 388.56304953108946, 389.01313487130511, 389.58230100381866, 390.77675573784057, 392.18173798622234, 395.09335547625716, 396.46378284282986, 397.42225218370561, 400.34646987266979, 400.38002452366214, 402.1219580948619, 402.14297126424407, 402.96414116741238, 406.39917816377852, 406.70239287535986, 406.82566141370376, 408.52694709411338, 411.24015343861066, 413.27873891730582, 413.36621354036748, 416.77894299404863, 419.53749638548823, 419.65715422947449, 419.91386234422509, 420.23977004959096, 420.65567283863038, 422.88396685108876, 423.58643752570674, 425.10906096818616, 426.85555995536953, 428.86272030330957, 430.56770382901351, 431.91499590799629, 432.03862263436201, 433.77345154502956, 434.06408778539236, 436.5509845244141, 440.69939058471914, 445.08864421677407, 446.11936471722811, 448.72178427119951, 452.80504558510705, 453.09299368198737, 453.55312261875429, 455.03270050632153, 456.09700953756635, 456.47991315409257, 457.17257091369305, 457.69650965550369, 457.82116625908554, 458.41474242983145, 459.28687535136987, 460.26731704703218, 461.68220607534471, 461.9080921862485, 462.30973978356167, 462.47900039140956, 462.54118776237624, 462.72247391497274, 463.70894553857909, 464.27217445467181, 464.78056216774405, 465.13436191266328, 465.48186508341536, 465.84462079542755, 466.00857322889357, 467.02441662000456, 467.04866570040298, 467.59595022952271, 468.36096544787733, 471.67381281590934, 471.75551731060887, 472.14011428978046, 473.4535737725152, 473.99474376092985, 474.50303278354477, 476.34059668620989, 478.13302397618781, 479.76549200721604, 480.14864624384649, 480.74015714949195, 480.99532790002968, 481.76483093856575, 482.06599085715527, 482.14306717617927, 482.71044881680893, 484.12299444041753, 485.33199613466104, 489.10790191808451, 489.62377180615681, 491.98719240738751, 492.75659221865396, 493.01817333329268, 494.04511213613461, 494.19700569941807, 497.01529513706089, 497.12075502074521, 497.58273152616215, 497.61138200711542, 498.12026483025949, 499.58369554021243, 499.69639026276315, 501.13632383358453, 502.062668384066, 503.13335559842949, 503.18168507895547, 503.29304208036808, 505.0891671294558, 505.71545275488666, 507.76309549405653, 510.48722267739913, 510.91837073498476, 512.20800511524669, 512.57920500409739, 513.21212545058347, 513.23465517086197, 513.43164740486088, 517.06062968182914, 518.10220518308699, 519.50068067947359, 520.95461740229609, 521.05856649546593, 521.44645881726569, 523.47830491517175, 523.77572984956157, 524.2466333217817, 524.41513106836533, 525.90905869856624, 526.23448184985693, 527.10065532422618, 527.86445752265661, 531.06296601278973, 532.06019210829868, 532.08620750399859, 532.17265005600098, 532.51553448680772, 533.29674467624045, 533.76225906657874, 534.52841333652293, 536.27885037272574, 537.42544663318472, 537.80021450212905, 538.07564927865121, 540.30483192990403, 540.36428315118928, 541.06210400889859, 541.49681398239295, 542.82269533207477, 543.81783245849658, 546.22030102411668, 547.27456957759682, 547.6177060101088, 551.24950882028247, 554.61531191217694, 556.18399114922636, 556.63925329357573, 556.97265746391884, 557.04510359076687, 560.42032541756703, 560.79905379051718, 561.89136999550101, 562.21927052118519, 563.24000306397431, 563.72069281342908, 564.59794319442528, 566.02878690476928, 566.13993984120702, 566.52771446563145, 566.92776051559702, 567.49408052141109, 568.70214453517008, 568.79735030156235, 571.5474147124537, 572.86799892832494, 573.2673254252918, 573.41263514039542, 573.65650031286066, 574.8501205940961, 575.65981661193405, 578.04162038941524, 578.22389389017167, 579.26546446785835, 580.0075911947564, 581.64137563617135, 582.58090520821406, 584.36177613260486, 586.47839856508847, 589.30167171002734, 589.34198578668031, 589.49076071739194, 590.14455768438893, 591.84196514061864, 592.30172161807081, 593.841071176838, 594.76221331390173, 595.53380196629678, 596.52904028736179, 596.63178585141009, 596.99203616166449, 597.93982223763476, 599.18905509672936, 600.28575855596523, 600.39769296443035, 600.84242796674198, 602.33047477893729, 605.85464354531894, 605.90361953160561, 606.99518392319737, 608.7629468614175, 610.07193652445449, 612.50764737073007, 613.35507203190355, 614.21644536347787, 614.54238692270076, 615.44457070936028, 615.93221206991632, 617.10018455664135, 617.88169880541227, 618.3338477253053, 618.7696925900251, 620.82083712943609, 621.56765751161731, 622.04228494075085, 624.07021381218999, 624.65937124428967, 625.55180128007953, 625.64408981343547, 625.99754327417713, 626.03684963522005, 626.60885256345432, 626.90840028796424, 627.42107073643604, 627.92863507148343, 629.02316264226772, 629.76666842411396, 632.33707280822489, 633.06842350959937, 633.1680470101586, 633.70281396231837, 636.33894873176632, 638.28765443258249, 639.75369639407711, 640.20664706435491, 641.12936425067323, 641.29576463326907, 641.57932508429769, 642.05726881800842, 642.43510792810002, 642.69885438917083, 642.9622417530129, 643.36281458294206, 644.07301152576349, 645.13132195101218, 645.43291228057649, 646.77662254630377, 647.79291328609474, 649.12495551631673, 650.35320339572593, 652.50975074640337, 652.77041339747325, 653.78189904821784, 654.44770035493207, 654.5857378263712, 654.64300848616699, 656.31394926866255, 656.75841140530713, 657.15373579678749, 657.98373881587747, 659.47589039431205, 660.20891944920345, 660.55869599354617, 660.76699442439622, 661.29841128400119, 662.28275121192678, 663.79449614158136, 663.94223573907709, 664.36196378740397, 665.17955614313553, 665.78887081756159, 666.93780443678384, 667.39533663983195, 668.63283736604592, 669.2070606571998, 669.29533715011985, 671.13101990013342, 671.25869573793045, 671.48878190842845, 672.89589629185912, 673.12375221736886, 675.06296443562394, 675.27779172832527, 675.34691256668793, 677.34830774395743, 678.86981132514074, 680.93042154999466, 681.17899744196211, 682.14718278833197, 683.66764232695266, 684.61003110439719, 684.74536221529866, 685.13988587469748, 685.17174387607747, 686.00611647333722, 686.38479191569513, 690.02642658733828, 691.30803427466822, 691.80841770382847, 692.8493895869309, 694.05050216293205, 695.00918828708257, 695.61491352026962, 696.23202800069942, 696.74856184497628, 696.88720867067525, 699.65663523011528, 701.41455905810471, 704.24670673357411, 705.06704286839476, 707.21299816670683, 708.42940715627287, 709.76618991303337, 711.35318010494677, 711.67764170434816, 711.89821762987424, 712.3281917103867, 715.22395774301242, 715.59163969057238, 715.64202850597019, 717.93030142015959, 718.78822212386069, 721.73277720408009, 722.74996225017753, 724.3138627008924, 724.50300982766669, 724.7135271227977, 726.03604024525077, 727.4440636916305, 727.65952097871184, 727.69730339686407, 727.86498717860945, 728.36379400070223, 728.85389650596869, 729.37978485466965, 730.09099179769453, 730.48781877760325, 730.5256136170733, 730.93623703420917, 734.91272845304422, 735.26044893795233, 737.43726730839069, 738.13000323037772, 739.5242292969167, 739.98870729518444, 740.035858465866, 740.50499947251865, 741.24806143452793, 741.63369077873517, 742.17294513151103, 745.20215183909431, 745.99893287375926, 746.64533454488162, 747.91497038111959, 747.97035762479857, 748.01508056695207, 748.1646367770353, 748.92764198726218, 749.71671672142668, 749.83467855464096, 751.31031763902297, 751.34771485145745, 751.74655805398493, 751.86215683796036, 751.88869930625833, 752.94725789518588, 753.67917852015762, 753.76375254007075, 754.15194695712989, 755.00563431784008, 755.49886589807045, 757.72171467582064, 758.47458142558366, 759.5324078577238, 759.82494341700851, 760.6287263832661, 760.78182297992066, 761.90690309837692, 762.99660710777164, 763.70152117156795, 765.38171384867871, 765.83634682365357, 766.71544352811134, 767.57009841638592, 768.50582690077249, 768.80963766817274, 769.12923135685128, 770.49792748883067, 772.60898283422534, 773.62518923043388, 775.33217500626665, 775.41494627820452, 775.7730070206012, 776.43839318709445, 777.72260190044426, 779.31766040685852, 779.42642280245946, 780.01586686353221, 782.37279931430044, 783.02300685532475, 787.18112290005331, 787.22506950972524, 787.60675913245541, 787.94507868143558, 788.51440909073267, 789.10681424594873, 789.90221416711722, 790.11576784585645, 791.3616213560905, 792.0583778365168, 792.77417882661712, 792.85620600753077, 793.01031246530772, 796.57746865542424, 798.8629798904534, 798.97838366487588, 799.36266263916616, 801.05574677706159, 801.55695719033645, 801.67770904862391, 807.44641660852665, 807.98506938930677, 808.19790917444436, 808.74911473163547, 809.59683822835723, 811.10264463872772, 811.51387042623821, 815.52986298777694, 817.74166898153919, 818.78959268648919, 820.10492493554648, 821.13382568059706, 821.67733303277566, 821.82796262238844, 823.02443555799778, 823.32220605319822, 824.52615379151791, 824.67102898644725, 825.31029034515393, 826.29512298284828, 826.73805166538023, 826.7604768437742, 828.08650644522163, 828.3676301710268, 828.77961335045802, 829.6966232793161, 831.3661058553979, 834.4861367212568, 835.33075573525593, 836.00643919659433, 836.85482185722844, 839.59139015288724, 840.21759698895835, 840.40975843226681, 841.45472552856006, 841.52910559383929, 843.28769105139406, 844.23461047447972, 845.52315894780702, 846.72461769115057, 846.91342042050417, 847.31380509275323, 848.33360107746694, 849.52388839865193, 850.35814137586794, 851.7224755634611, 851.89525114288836, 852.00024295721641, 852.99071911066449, 855.17251252488688, 855.96626333810866, 856.58799264367508, 860.17470705313394, 861.58508234570911, 862.98967483990816, 863.87602973089565, 865.23200800198617, 865.59552159523651, 865.78688510535949, 866.63573543257712, 867.36626728860983, 867.79357650864836, 867.92652681648383, 869.94227757330691, 870.28372505911807, 870.62787385662989, 871.73958920335201, 873.00017844978765, 873.87599606932827, 874.38285306305465, 874.70063090594044, 877.46127235570202, 878.02690515841573, 878.0505043492451, 878.17692448729281, 880.99422293415955, 881.96009491254404, 883.08231734951278, 883.28164029639333, 883.6433443297741, 883.69914600336892, 884.40868166412747, 888.13356164496872, 889.56432905298186, 890.04013878906437, 890.19669704842147, 890.32555680994608, 890.43262825112595, 890.91845397253894, 891.11219811977719, 893.00004402493096, 893.48759833629344, 893.65647199444572, 896.70485760126087, 897.36868152198065, 903.21625878517, 904.77453100617493, 906.56539368802771, 908.48748174169339, 908.53035638499216, 908.63414997762141, 909.38346485729971, 911.70662217961183, 911.7451046001064, 912.1716312382888, 913.37535643722947, 913.41987061055227, 913.5325031742201, 914.21502745064583, 914.70941338884211, 914.94890564330558, 917.10294866846789, 919.35767470253313, 920.19851009842955, 921.33401202929599, 922.49896063900519, 928.05528087837286, 929.81630347212092, 930.53938779361158, 930.7671906013511, 930.92955287220639, 931.10057007362445, 932.43108121024613, 932.57960083018031, 934.26185934983448, 935.22294113675582, 935.5924537629578, 937.61949053635828, 940.32056021576761, 941.21359760331814, 942.01550809820299, 945.12321618057808, 945.29157675735678, 947.31990521962121, 949.83555581814028, 953.06887491956275, 953.69889374715342, 955.48419352977578, 956.85367366092225, 958.04616341349777, 958.63367316734525, 960.70881385960774, 961.10218563394005, 961.24327374230825, 962.05984924251095, 962.19749020363179, 962.95994806921999, 963.18883234353723, 963.77608295145706, 964.31481945925805, 964.72725399740875, 964.80165968993174, 966.86922210623891, 967.1127128072734, 967.22891841542162, 967.35424687862371, 967.98059814446799, 969.35461831235682, 971.57366794689767, 971.98521342422384, 972.21922797766263, 973.74432941229213, 974.94364998720869, 978.46246096757761, 979.52495589551029, 980.53751129257614, 981.8443329686213, 983.05511373294087, 985.44697159297891, 986.26698022478661, 986.55129133595085, 986.77979435732846, 988.8252161494554, 989.29088364686743, 989.58939245608326, 991.60028272036936, 992.3531092190467, 992.39328727299767, 994.32188565046545, 994.93374651697286, 996.18133485598275, 996.22621062063433, 999.59328634071949, 999.73490211469073, 1002.3217638065355]),array([87.554830175939841, 87.641239661571319, 88.40775089362792, 91.324306554865743, 93.001418052236943, 94.635183899285821, 94.851330842817632, 95.589580892402438, 96.652802672094197, 96.778084870576834, 98.413032146992904, 99.418192886565933, 100.51389032578952, 101.89742533714906, 102.05863562056652, 102.18365563752408, 102.54339963189729, 102.69045974386098, 103.24121463380497, 103.71435146209848, 104.30569721497224, 104.34110948009608, 105.72123306326979, 106.18330316676339, 107.24843255626466, 107.64429926208005, 108.60131024550114, 109.40087016970817, 110.06168059481786, 112.23080092949724, 113.39766795581762, 114.30433532743621, 114.64252329411902, 115.20162875252562, 115.54210671400084, 115.98779907995473, 116.1571281513588, 117.3215900061146, 118.88830662425796, 119.3536382443088, 120.48974521479835, 123.13073782446517, 124.31074916204703, 125.33911671338723, 126.41471815838941, 126.87775340849242, 129.43508108625542, 130.83233693558245, 132.17056781381257, 132.82190254086527, 133.32488479193145, 133.98769941630019, 134.13829620608507, 136.8095171309688, 137.55804333027459, 138.82945568199568, 138.98051698101463, 139.12081551760153, 139.82927715223855, 142.58393504069826, 143.30260468539032, 143.5036355154341, 144.09028396846688, 144.87077712746304, 145.82314652017484, 147.16762808280026, 147.46268883968153, 149.52713535545197, 150.36592210639833, 150.47745950511742, 152.13453198417849, 153.53502915108299, 154.22669672891752, 155.95993391595093, 156.81169086172687, 159.59924962104833, 160.8820087707434, 163.77655273352116, 165.3721564036162, 165.78116820642131, 166.87218420454008, 171.62555113162122, 172.10038968603388, 172.46383566214629, 174.44730327085185, 175.53370966892712, 176.43966829345283, 176.54331018228743, 176.69921600574403, 176.88940166282873, 177.68886712102258, 178.18230438486898, 178.97279527810551, 180.2330092207595, 180.60824938582638, 181.53996176106833, 182.62244768319903, 182.97683977333196, 183.20364247238263, 185.05653725942435, 185.29701893123521, 186.27073394101319, 186.66503923146217, 187.45960013002639, 187.52182650749745, 188.46913951965988, 188.70580710355043, 189.7289754366123, 191.44526787294399, 191.75205217620959, 192.47125470328311, 193.30362233294264, 194.17079833184982, 194.27045103535528, 194.83973495764877, 195.02555545509423, 195.07110588776405, 195.794031935124, 197.81758294273089, 198.80591719726763, 200.4054098273908, 202.28231194459676, 203.02082249825381, 207.68194355213211, 209.29586151967769, 209.78130615527957, 210.33942862160399, 211.06367643602559, 211.83937728347161, 213.18505173337701, 214.46314200550154, 216.30445843950298, 216.77603376685462, 216.94202859524589, 217.05761622221107, 217.4245607234225, 218.59278066266066, 219.48197158002841, 221.28864965965329, 221.36157461674293, 222.81739602685911, 223.91880233116737, 225.04194162890045, 227.85790072301711, 229.37528695220658, 231.25013004642682, 231.49277013499324, 232.65244066816575, 234.10935917187604, 236.67836629000459, 237.31872564795972, 237.50769951430769, 238.45782515383564, 240.9783963270776, 242.3448800090425, 242.56370530660536, 245.09749249592707, 247.44713786723742, 247.50406270265239, 248.16013845635527, 248.55088474636634, 250.72078732186864, 251.55018686497726, 251.84686717633659, 253.1820056383909, 253.30976473371067, 255.1134255232366, 255.27823731780541, 255.8753849779705, 257.02118776770754, 258.80980839917709, 260.10168564298999, 261.51683090989246, 262.364319552111, 263.00425423877579, 264.24351291974943, 264.89801093474904, 268.20364183864899, 269.1097665881216, 269.18916072524445, 269.35617861124041, 269.7770501504246, 269.83951489504324, 270.66566370823119, 272.31918847331161, 272.85472483551121, 273.40146801389147, 274.85636057277918, 276.11352888246614, 277.47522386257054, 279.2807893897542, 280.12879744692316, 280.20157568707577, 280.8294916003789, 286.21323300457448, 286.42161089527156, 288.18282708209784, 288.24784020813632, 289.97471586054343, 290.18931520835042, 290.23238439755431, 291.0525250053991, 291.62650772101409, 292.42477765767325, 293.97898590743563, 294.64617822655794, 295.94375885860393, 297.17197325109731, 298.95728107382564, 300.84868788225219, 301.05047694733753, 301.12505134061269, 302.04525829253862, 302.4569424574122, 302.53954907309276, 302.84277679134038, 304.33891749535752, 308.47346791034062, 309.62017367571116, 310.46289526282447, 311.35281908640292, 311.44635163059434, 311.49042179051355, 311.55242590640455, 312.66385110469844, 313.03551770437218, 313.92947026732378, 317.39000808450919, 317.6548406345363, 318.20365251294425, 318.8583932575437, 320.97139549578378, 324.13371343490343, 324.25638469834888, 325.62573304450336, 325.98694483765723, 326.58824637309277, 328.45291563398951, 328.51225280563875, 328.70208547201895, 329.26445872818056, 330.14762545615042, 330.5513763446869, 331.92801024186809, 332.4562103285935, 333.88684566837958, 334.50073900525967, 334.70846570502283, 337.55015380052362, 337.68374713513401, 337.94173931035772, 339.20463770701667, 339.71662465250495, 339.99801223002493, 340.80332024942578, 343.20348114047596, 343.22406474117673, 343.30117546273499, 343.55372759432544, 348.8471468934041, 350.2162960075533, 350.31466857579107, 351.65469941049753, 351.74401488573653, 352.68118498758076, 353.92537620038689, 355.9904849739886, 356.71174100345877, 358.13996895341268, 359.70021169684208, 360.62107320102103, 361.26286981466365, 361.90999606277927, 366.10792992856517, 367.29001537940258, 368.89826656382871, 369.28077267174149, 371.26939647968101, 371.69833074658663, 372.14088867673894, 372.34864373106916, 372.54278326066913, 372.73144146266242, 374.22004613599603, 375.63751375472719, 377.27878565811267, 377.42614233891516, 377.86422120495331, 378.91293265371581, 380.44466669586188, 383.21839912557692, 383.35557079624448, 385.57442025370591, 387.01656496934339, 387.78937149778864, 388.67710332911173, 389.37718957913728, 389.51875336706229, 391.46180198859429, 391.58275793071073, 392.01988256153743, 392.73592142273759, 392.99657528590592, 393.88427412159444, 394.62048211484961, 395.3474379847267, 395.65707899060675, 398.55579507580137, 398.65651939259948, 398.84447710436973, 399.92396054616296, 401.005047312199, 401.08785228802014, 401.4928183653754, 401.69134654830651, 402.61815751307438, 403.01873520355383, 403.37460640701823, 404.31388125660385, 404.49700002991113, 405.74956905784995, 405.93909685051142, 406.6575310585028, 406.75519566829445, 409.19823847852638, 409.78700438237018, 410.23391323394571, 413.12079783471853, 416.14377419999391, 416.91674908982537, 417.01988903793927, 417.48748364078341, 417.87008304552239, 418.40410643445045, 418.59494191794636, 419.60637172497763, 421.84238093144228, 422.10392334110151, 422.2847048795652, 422.48838303216473, 423.07110551335933, 423.83437917102304, 424.80028898733468, 424.99756821422352, 425.19022372670162, 425.36951871958962, 426.06364069145138, 427.80922279513891, 427.99475006219086, 428.60581782027469, 428.90133852562928, 429.0394827615109, 429.22394559278933, 429.94252621394446, 430.27676696463283, 434.38298674482041, 435.50825253588067, 437.4507259190288, 438.00529756453921, 438.76961498201729, 440.11216670931424, 440.13550161803283, 440.32738745716523, 440.48457712901148, 441.25541996019922, 442.62550765507501, 442.97448592466139, 443.81402141480777, 444.95759971871672, 445.9827999842733, 447.82559698650073, 449.90762453752831, 450.6885409062848, 450.77452065825111, 450.81376417239386, 452.78028543382959, 453.58624424592483, 453.89812511712114, 454.79841638216874, 455.247181598015, 456.03228233069615, 456.74643926240037, 456.77859038504687, 457.0742875400266, 457.91120893044166, 458.35133345133937, 461.3487898169393, 461.82686475255593, 463.88332123274972, 465.32455071985737, 466.95342113623303, 468.28849925056909, 469.02776277604596, 469.17954104869045, 470.53961911847983, 473.08168054753787, 473.93007591469387, 475.34936237950944, 475.5934566473299, 477.76963648848925, 479.16904915215196, 479.2014710236304, 479.48320039620893, 479.66699670215149, 480.2593926258877, 482.05990556209139, 482.56063845767625, 483.51362838712788, 483.71855647789681, 487.06004913485276, 489.42814741962434, 491.76267641990125, 492.63506040993394, 492.7761577064698, 493.40832450246876, 494.38135963948673, 496.54113597794378, 496.9109062357735, 497.95982310452843, 498.01972509058493, 499.50810862043602, 503.18921834379802, 503.43898697704805, 504.38461061734773, 504.82369688524068, 507.1324396239537, 507.30626439461003, 507.80918576470003, 509.14773409790308, 512.33177266383052, 515.31468038694925, 518.00357205941145, 518.6915423311076, 518.78078084728918, 520.29841229591, 520.50140303502531, 522.7583255077468, 522.83567652003967, 523.57450336318857, 523.62165100677316, 524.69903864423043, 525.45344793801485, 526.38206813501461, 528.05399180313987, 528.13904726523879, 528.39046835299666, 528.50010055981852, 532.02955862326723, 532.09986182162163, 533.1277065575938, 536.10500384203601, 536.52568107636353, 538.154437361948, 539.64946376171724, 539.70724155005576, 541.18786626964322, 541.84102489179259, 541.99031479918597, 542.45060724108453, 544.36826662372664, 544.5648633465787, 544.66278683154655, 544.95577793172845, 545.4611319857795, 545.9468784962412, 546.39865528170753, 547.38398477636588, 548.20707387117841, 551.60110755539574, 551.92339197899457, 551.97954008988631, 554.988022701913, 555.01854272099865, 555.25205760487302, 556.76217061223622, 557.55211268205494, 557.78614568004605, 561.03452484865466, 565.87798295373398, 566.33362618666422, 566.9717094945953, 567.37843159597537, 567.41323689002945, 567.5227628070154, 568.21536560936158, 568.97771863602338, 569.17794573342053, 570.32873990468215, 571.14739668922709, 573.3192484041349, 574.27231099141113, 574.98996048583956, 575.10479333459853, 575.42764978468472, 575.67732529283569, 576.68528166828605, 579.11639458522063, 579.66412323112309, 579.89374297639517, 580.79391976406998, 581.45222628612612, 582.03655703224376, 582.15164066798195, 582.21623803796274, 583.70249048417975, 584.50413428774561, 590.02698355743644, 591.1688519625294, 592.13246105774101, 593.08006454608278, 593.82552004178274, 595.03393595089813, 595.65803253215802, 598.35170832320534, 598.73119499064865, 599.93624583632118, 601.5422353385859, 601.86699271758516, 603.7847507319126, 604.20950819963741, 604.5908684123616, 606.14982661678857, 606.23892765361086, 607.00074895556577, 607.46622194533938, 607.79919728783852, 608.17227525360272, 609.24961760832127, 612.45780562869641, 612.78894098568458, 613.84721101398804, 613.89583977370899, 614.39802227024609, 614.88788260316255, 615.12074446538622, 615.15480655744386, 615.612788006963, 616.00060592084674, 616.54504655944481, 617.0617448558354, 617.55977644621021, 618.03282659283695, 621.18278375034015, 624.24361041046279, 626.13575381034138, 626.16833233159537, 627.41869322337607, 627.46308629877819, 628.51511985743002, 629.33301595671276, 630.83372771119934, 630.89376651670807, 632.72652510809507, 632.75378745109435, 636.14943353376327, 636.63357342065706, 640.37119038006733, 640.41859739474057, 640.5730408799925, 642.65637960586355, 643.39654634662861, 644.760650752223, 645.83689823983002, 648.84479326101371, 650.18473330759662, 650.79361427725269, 651.76375998899778, 651.84027534963502, 655.33297743015066, 656.19011855703934, 656.60546605759384, 659.8324118983553, 660.28278587148145, 661.63886667090958, 661.93398049334348, 662.59037410101746, 662.95037690101856, 663.64081721614946, 666.1300149653822, 667.55051230764184, 667.65247433211221, 668.80121368711832, 671.19095955787725, 671.71260176553744, 671.78635444964254, 674.39651847732455, 676.15036036459696, 676.86691448633712, 677.70835165501956, 678.37196437621537, 678.86732937931481, 679.79662211879474, 680.19594234169745, 681.2207854001507, 681.55498672927592, 681.80450229264181, 682.5503996015608, 684.33926134931824, 684.54150945899914, 685.25680466047129, 687.92925163017833, 690.23545589147147, 691.61842320314554, 692.50641470789719, 692.99199242418115, 693.58255514942709, 694.19720736441502, 694.41166922612319, 696.42007703522052, 696.45365628793752, 697.28616246849992, 698.07842305918609, 698.34168792609523, 700.17870242014033, 700.71415292695679, 701.17949958726422, 702.43487783940554, 704.06948612867041, 704.24971569191609, 705.23192832496795, 705.64662133968739, 706.74104384155578, 707.24709102762449, 707.31825303120604, 707.87407227033054, 708.45729942598803, 708.65886342794045, 709.89587343513529, 710.90200282495834, 711.59133588977602, 712.23565094503488, 713.64950258200645, 714.64789367826427, 717.28984410951966, 718.27918234412925, 718.46189617522407, 718.53761863430077, 718.9856194154961, 719.43047375084927, 722.70843702932154, 723.0847299940757, 723.41478595230581, 724.80958745995758, 725.51370402772193, 727.20863953325249, 727.95742136082026, 728.20060528108661, 728.4324982141186, 729.99133513589834, 730.2714288677364, 730.93462916957799, 731.57684849406598, 731.65176181071524, 734.09073280542282, 734.23773741324135, 735.10507477988142, 735.22953691343434, 735.68042732432104, 737.57452799334999, 739.32243025199966, 740.20846639975423, 740.24722277040712, 740.78984442086278, 743.21168453265568, 744.36495328941533, 744.46553673474955, 745.46307727104056, 745.76871285828076, 746.01257752459128, 746.91088825601321, 747.59956516382488, 747.89745867779141, 748.26765360894228, 750.35754879572426, 751.48072418992729, 752.3329523178196, 753.36859833651988, 753.63790684713649, 754.55426850526612, 755.50195411531377, 755.78547512353225, 757.21235989250056, 757.30150858793263, 757.76032984149288, 759.05210815324142, 760.17677682781505, 760.37390428066067, 760.89332173473554, 762.1069326704079, 765.77602784681881, 766.70527825418378, 770.37153229461285, 771.47380135875767, 772.54124427665647, 774.44030808161517, 776.99575147316182, 778.10071589535335, 779.41721435611566, 784.01107738792712, 784.35879425945268, 784.95927880593547, 786.12523908168214, 786.47355225151296, 786.87080066745852, 787.17738338422134, 788.15490889053979, 788.40250524943326, 788.74850217928702, 788.91317944731725, 792.18994683462802, 792.35882271800619, 794.95481757247637, 795.17853739261898, 795.35114092784602, 795.42065170993953, 798.21373976144287, 799.63182351176692, 799.93517882066624, 800.84749334269725, 802.44112920081079, 802.63914045310469, 802.85606013405186, 805.1727360903883, 807.23541748576145, 807.67921264684173, 808.86188921223777, 812.25068667215567, 814.03538509933446, 814.2847582786676, 815.03202700490249, 816.62350580138968, 817.07271078888346, 818.14444300828563, 818.64208897660762, 821.24468993127459, 821.47555345327135, 826.43184437016248, 826.53329302768361, 827.28095413852691, 828.66950161705813, 830.26948639368049, 831.60469867715517, 832.6521459289271, 833.59876350210266, 835.53844583135117, 836.16953714855435, 837.22021219549231, 837.70053878703288, 837.8244752036212, 837.89392998693177, 838.84763497231768, 839.72671291299707, 840.16615714961745, 840.56977552160447, 840.60774210472891, 840.73804107278488, 841.22225038122167, 841.96315981029875, 842.45117755738647, 843.68648304336978, 843.93084900200768, 843.96542260088131, 844.69592895871301, 847.92211910167123, 848.73204443676082, 851.23353046894181, 851.31393651287851, 852.61269471643561, 853.69762462664016, 854.82388682229305, 856.12254682193634, 856.14329487754003, 858.2964718361585, 858.36856069486555, 859.82363521423406, 862.15997511382011, 862.34794449619096, 862.37388003151932, 862.79769809308925, 862.90595895491344, 862.99697820013171, 863.78224539516771, 864.19279738814919, 864.75623838569436, 865.15535254754252, 865.27839204273903, 865.52659141616402, 865.88338837534729, 866.21537274107948, 866.65447163490273, 867.07576019289377, 868.45738198817696, 868.82483746746766, 868.90464715498615, 869.72506353808558, 871.67305748589604, 873.11055412475878, 873.54582083874516, 873.75713318337057, 875.49648742713578, 875.79708489095719, 876.85975061287047, 877.94842967111788, 878.10883592683297, 878.2201279392192, 880.25963689690127, 880.90730291091279, 881.9224995350022, 882.12056706251246, 882.45091858471221, 882.69177437330154, 884.65965036787031, 885.45318918522003, 889.34581663186566, 889.39495806810555, 890.66976573956435, 890.74943866221122, 891.26591502671954, 891.52827847571723, 892.93526548642819, 893.65408586767853, 894.66376698463, 895.53925390008033, 896.17013814087534, 896.46259165464755, 897.900975894309, 898.11071381616239, 898.20746756827953, 899.45820903433844, 902.98366096101381, 904.46077495300995, 905.23690972363943, 906.52724480919994, 906.70447267080044, 908.3092733178421, 908.62440706674886, 908.75382754620239, 910.65751538145594, 915.06038306087817, 915.6774678519007, 916.52859750854054, 919.46757479703842, 922.15285698422394, 922.64237577213839, 922.82674188218664, 923.02688057161208, 924.66830644580227, 925.10004795388386, 926.10303170536656, 926.22668620167485, 926.74783941166322, 927.51514232930685, 931.61464598384805, 938.86345745139374, 940.7318989173632, 941.7631062785033, 942.76747139796021, 943.6268363105811, 944.24045147370782, 945.05548722156766, 945.6535167308657, 947.12488319441616, 947.18963360942905, 948.48406167850032, 950.16129947361321, 950.56930588820728, 951.73565159049406, 952.46672656562612, 953.12996432322927, 954.07648503611756, 956.96346500441609, 957.07236692915444, 959.74059822719948, 961.72737637834382, 962.66074223230817, 963.23501879656806, 963.89104609723086, 964.9458524582567, 965.22269906639804, 965.77250007811131, 966.16546097726894, 966.58950977811276, 968.88985717098819, 969.87458950506937, 970.27231723978105, 971.61080531617074, 971.78100548018131, 973.08913105976626, 973.70563691222617, 974.72106599244, 976.99028823522281, 977.6179829283991, 978.38618516301847, 978.99048726445619, 979.05305599305098, 979.7138426597229, 979.91277814533839, 980.56800599572193, 980.92190870649949, 981.20267707458822, 983.42065216919582, 984.25264259491053, 984.35115401217206, 984.80182938814221, 986.19818244941609, 987.58875655473707, 989.50996431747035, 989.78234283023744, 991.36472507527753, 994.94331748376692, 996.06887893794465, 996.17069131004814, 997.0342711401521, 998.01267501327584, 998.68569652173176, 998.7703693181179, 999.4176125194258, 999.98040864414509, 1000.4527737295547]),array([35.400700012045114, 36.821388114968556, 41.083145027377498, 41.42226846155463, 45.580808432904412, 45.787702277058727, 46.070207376121971, 46.430090047634884, 47.702611340450893, 47.916520120008848, 48.920547475069306, 49.474862843852023, 50.839860313324984, 51.057417144100896, 51.169337458290819, 51.501787625994808, 51.78036781455021, 52.879432474305233, 55.492990968238558, 55.785952056161612, 58.396939265057043, 58.695380164671626, 59.058606605678754, 60.862438776751894, 62.57110323815332, 64.553142594297896, 65.02998770430311, 66.477896233355295, 69.003771250827072, 69.843759530544006, 70.017730915656983, 70.207381035737427, 70.693009331670922, 72.14159804862571, 72.50108916878483, 72.859048408491972, 73.79886471085635, 74.203667010565624, 74.628882766753776, 75.070684222858176, 75.854541814166041, 76.239879477105376, 77.69834290695043, 77.722161018084961, 78.621290639240712, 79.108333066460233, 80.567922439501586, 82.485991113310064, 84.072958276254553, 84.92162154075308, 86.481763320146896, 89.03263302774873, 90.246625197781967, 90.543353960607206, 92.784751117029018, 95.324692316093817, 95.782635287009114, 97.454345484791702, 97.673237772724733, 97.855545970176436, 98.154020145708571, 99.630649541001759, 102.14268991621663, 102.31663778433919, 103.62865821186932, 104.7143114460968, 110.17317410965299, 110.86742875037821, 111.25443144215944, 111.46807546327535, 112.62237488001981, 112.81960471083131, 113.75506259712228, 113.93584878126289, 114.10159794645196, 114.32076204910825, 117.14520505286346, 117.90429787482425, 118.02947357061828, 120.10674647668793, 120.47681000803055, 120.73993507028523, 121.22464440496761, 121.41318317499652, 121.83841818629689, 121.9019747429663, 122.42391572631533, 123.21136287771843, 123.53834107363657, 123.85542811345583, 124.87057314112319, 125.74712836815814, 126.21155476103809, 128.23326541932562, 128.66839360007609, 128.75028829976202, 129.00176460162993, 129.95043623262472, 130.06430130050242, 130.74573804527111, 131.40280316721305, 132.14359139506118, 132.96304733567703, 135.55520204088495, 136.71105348943124, 137.27035022452188, 137.30552516596254, 138.87787325128517, 139.37942553630359, 140.06342359108453, 140.39478065716398, 141.05424778055587, 141.26729637768148, 142.27680829805968, 142.94883774200594, 143.83625938798593, 144.14067318101996, 144.91898207464749, 145.53982775139966, 149.0910339226084, 149.64905988802477, 150.33396945119492, 150.62458930832295, 152.12707805107664, 152.23531549101796, 153.43140196141002, 155.73296040719202, 156.2742905921406, 157.22369159352431, 162.53926089729572, 164.29958741137713, 164.6988948813096, 164.77278564456643, 165.86903930173438, 168.83381907609481, 168.9070652362856, 171.87186973079116, 172.90680489660366, 175.33023456069034, 179.08090135669849, 179.45865890387671, 179.65949203659687, 182.83918384572306, 184.15572120287518, 184.1802875869715, 184.4851030215886, 184.63952743621689, 184.73202785854801, 184.77715477644705, 185.26591413520967, 186.86375447670991, 187.28886674166057, 189.58974981422591, 190.14236546105778, 191.12325449805815, 196.27274758401137, 196.80431498819857, 197.47693149452675, 199.88466328928541, 200.31740091857986, 202.01167489170388, 202.28689853278331, 203.43553715014946, 204.03258287593383, 206.91999625785786, 208.05893731144334, 210.53989255637728, 211.31032476467405, 211.71056552511985, 211.83912329185387, 212.14225969118715, 212.25824733405202, 212.45299882401611, 213.0319095971274, 213.68898369481624, 216.26196639466221, 218.38673482868313, 218.91417198521208, 220.70139623255139, 221.87816438239645, 221.90364799205562, 221.97771168059265, 222.05399889181001, 223.27315860862069, 223.88092580509573, 224.54074685281893, 224.68985287878431, 226.28923966972712, 227.7786723685378, 228.47735382665667, 229.62311814350485, 231.52053450491294, 232.44975475867585, 232.88849431626241, 233.71890994137635, 238.23621050439905, 238.27963238667601, 238.80479491141344, 239.92159967369716, 242.63445274753727, 244.46772245798488, 246.28420946833862, 248.34391522025686, 249.10407649345188, 249.56405272125983, 250.8633109804714, 250.88344941668151, 251.28197403225755, 251.50471197066753, 251.67179749377794, 253.29550669432817, 256.00448013247467, 256.32949652431233, 257.42023853674885, 258.34094122109963, 258.70858761828515, 260.46374079794805, 260.66357729410288, 260.95177570244761, 263.37836139544203, 264.43492298713431, 264.71108230339416, 265.54540976370726, 267.9200909412142, 269.30508608179167, 269.41883515124221, 270.55631322630848, 272.45014814613734, 278.85839879286664, 279.75724080378211, 279.90077266176115, 282.85623099212074, 284.05844716985263, 286.79014240424851, 290.57537110208972, 290.69638536101689, 291.45212063650973, 291.85219524732202, 292.58782676338859, 292.61041521777383, 293.01853156756709, 294.15854444598557, 294.31128335105302, 296.13061338237389, 298.92183408205796, 299.21123817650687, 299.38461438763397, 300.35340301420553, 301.73161875874467, 304.56553989634875, 307.3338431029282, 307.68584505609869, 308.07920357625284, 309.26258028514417, 309.67400578757918, 309.84654516607793, 310.09055113842624, 314.08724216740541, 316.43064016965161, 316.66945496552233, 316.91860810206015, 318.38997283055176, 318.95840408560474, 321.83427701010299, 322.19800388286592, 322.80316659775031, 324.04235582538604, 325.04599717240802, 325.18401713174586, 325.95540583946672, 330.1869029435037, 330.381448361293, 330.60315123870816, 331.03481378930621, 333.32617248511906, 334.17330876129563, 335.09763077628264, 335.78318516511752, 336.41170805179036, 337.43943844942083, 338.21287083497555, 338.48892267047273, 338.5899696628789, 339.29977620103261, 339.55843968048401, 340.7420946037804, 345.60292470119435, 346.18536585990205, 347.07662674872944, 348.7162151575323, 350.67140624109072, 350.86845201753005, 353.38874886447093, 354.61976149485133, 355.74792301515009, 356.36722054909455, 360.89713927847447, 361.6135993159167, 363.01639981863775, 364.55770044826608, 365.03699032747039, 365.53323523894454, 366.09983216489132, 368.73179557339103, 369.03975711317634, 370.19178387912126, 374.78907518115972, 374.898558674615, 374.985003040962, 375.40642680888482, 375.62102856021977, 378.66580044791675, 379.88251009055801, 380.19648974220877, 382.09819699391062, 382.72860020963225, 383.32713708822297, 383.4309808753892, 384.17959067697296, 384.86171412729578, 386.31083416324873, 386.39641747116963, 386.57444080136986, 387.80591292105407, 388.43461505510379, 390.04601351158021, 394.02398111935867, 395.14765496661767, 396.02543571520738, 396.42141999088813, 396.56301511088839, 396.83780616150295, 398.4101137687648, 398.86289528387749, 399.232010476499, 401.45495370448259, 402.70737505030053, 402.99133038215854, 403.18152107804309, 406.19591055887844, 407.25826539300397, 408.6126689370796, 408.77270290798799, 408.89142302459584, 409.75423679613988, 412.02153156625042, 412.12515771353543, 413.07254491197062, 413.17882009653312, 414.35045890536247, 416.92338489219964, 417.75235005584665, 417.88534704551955, 418.52497817327918, 419.79753639513126, 420.28096243152186, 420.9911062664367, 421.08400920847993, 421.28704280051193, 421.71667765354715, 422.00055136162439, 423.11904782912654, 423.83456730303499, 426.41967298812818, 428.9358454690805, 429.44556488811128, 430.10784040576732, 430.30881982668711, 430.41855139178955, 430.4540980670339, 430.52862332277954, 431.26521676092131, 433.862063575089, 434.18222861181187, 434.2273568381504, 434.40443293469457, 434.65457026174636, 436.04783324651783, 436.4438641548773, 437.58970666712793, 438.50669063922118, 438.6958606376059, 443.26256269267265, 443.73560434969016, 444.256799910224, 446.4760311700004, 447.68551525582211, 448.39570988887988, 449.41746694338087, 450.834471664006, 452.00962953846511, 453.50166885830851, 454.61423078966601, 456.44612531311066, 459.65490454571164, 460.51004990605492, 465.03866026809527, 465.64212296161878, 466.58071051753728, 466.78260129705734, 466.80632300918069, 467.99142071420926, 468.79601358082061, 469.8693436978138, 470.20325319151749, 470.42788534387995, 470.84094771056181, 473.81392407635121, 474.04982332144544, 475.56523975586975, 475.72772928189585, 478.77839213595672, 478.9673570566157, 480.52475124839202, 480.88425696605299, 481.10755385833261, 482.70222345849788, 483.55229870955122, 484.21922877267576, 484.63553262520668, 485.36056026695957, 485.95472100467219, 488.04231075521454, 490.68706388079369, 493.37335764589676, 493.4091746925522, 493.86231057955416, 493.9902800770426, 494.28936135138565, 496.06558013081599, 496.08668978001185, 496.47654693563635, 497.07335742482172, 497.09672098343719, 497.37463322578571, 502.18170852335732, 505.30252502234606, 507.22594576840254, 509.53132924306959, 511.08328491610956, 514.06230735479687, 518.92155959726733, 519.66183742003341, 519.76887919976639, 520.91266550102307, 520.93566139825953, 522.14131647668535, 524.3798029203025, 524.93273743907287, 526.24335533768533, 526.30141534680251, 526.64826212054209, 527.21302651028543, 527.47281508154583, 529.98371408879018, 530.50396846364436, 530.68720924749471, 530.93790898269185, 532.35089649152894, 533.50331546957011, 533.64981271227714, 533.99554392973278, 534.09148152973739, 534.57741072814019, 535.10425255907728, 535.92222191455414, 538.25069726783602, 539.47970586801682, 541.08496226516036, 541.65865726976654, 543.07855362571843, 545.03669994309018, 545.88362952668194, 546.92726115478138, 546.98183618589746, 547.18891091483852, 548.53380183234003, 548.83736539798747, 548.92319417079489, 553.23716550592178, 553.36891043856212, 554.06503921023625, 554.09011906094986, 555.46156726232323, 556.22641458325279, 556.52753931235577, 557.66935355916542, 557.92666212067434, 558.57893644811816, 561.76951478480987, 562.88195588490407, 562.91605155702814, 563.4857297294044, 564.51551320341423, 565.4649907981061, 566.12638915152104, 566.24878391039215, 567.49351408684208, 568.42486660500231, 568.52669646520394, 568.64915383567234, 571.57328038571302, 571.99860534311119, 573.56780312174385, 574.06263836053711, 574.62549451138977, 574.9316049682642, 575.33240730473631, 575.43414795390856, 577.98651200809172, 582.9895800844655, 584.67874998846571, 587.92777750329196, 588.17541755764898, 589.12953652768226, 589.82369534858037, 590.80552315816954, 591.11032229563193, 591.96292491755514, 592.00561708523651, 592.24569446560963, 592.33574978331319, 592.44237033536376, 593.88540621925449, 597.76172644215239, 598.80884189169615, 598.95013940902436, 599.12908090176472, 600.12989862558356, 601.3242752522749, 601.44398109934218, 601.64504006814377, 602.40188927192094, 602.44932600215861, 605.05727377322262, 605.27873406298556, 606.03556687296839, 607.17682519977791, 608.98581020307597, 611.4351750527594, 611.55011637686209, 613.9220829496586, 616.92872174378476, 618.44244782870271, 619.61407430295662, 619.82663500987735, 621.64589739330211, 622.58455015457162, 624.31416404822232, 624.38486350436688, 624.41573637392514, 624.78208660436894, 626.12219615239144, 626.19468894619513, 629.87768354896957, 630.49894756803644, 630.9729260926963, 631.04111607967934, 631.2411237089741, 632.10840363780426, 633.7071569758873, 634.09036265173029, 634.21608305292625, 634.44102068320649, 635.77604647139003, 636.68275987853758, 637.81818340535563, 638.60518844379226, 639.11556358539281, 639.28215405148273, 641.26542991258168, 641.70236525662165, 642.08459182555464, 643.62294788068618, 644.5185080367263, 644.87096694562103, 645.03634895476625, 645.19492759050263, 645.26507877018605, 645.5231620315152, 646.56028420328425, 647.1782381237665, 647.69580432711041, 650.17073432693837, 651.33701482662696, 652.10162268900842, 652.33761621557005, 653.33295533343357, 653.75682708907402, 656.5716971274129, 656.83305563114732, 657.3667969168647, 660.40412822690234, 661.89824592854552, 663.78160755718307, 664.95264515740894, 665.66884488382675, 666.66542085814683, 666.8394885449502, 667.41728055374324, 670.66837638327581, 672.27994872143552, 672.33054681819669, 672.71875237448774, 672.93041550923726, 675.27995847475745, 675.57722546080765, 677.63013873607247, 678.05192827570693, 678.43402481910562, 678.60282372340589, 679.33313311181166, 680.69504856028993, 680.92522598771495, 681.20552483758547, 681.33686375173352, 683.14255559286073, 683.17655076788253, 683.27683305663004, 684.55634211825168, 685.72079972134168, 685.78395084060219, 686.44611873713984, 687.04485134579784, 687.24524955769459, 687.3228754181863, 687.38945295803501, 687.61868392618987, 688.0918503609945, 689.40896989951034, 692.17618230323751, 693.46266230279377, 693.56842235924103, 694.53653062290982, 695.55767725403018, 695.64452254204059, 696.43130961956206, 698.59630096597027, 699.7826383082014, 701.07015994943686, 701.90329848994725, 702.64211451840777, 706.91728215935984, 709.37493203398333, 709.74702161825803, 709.98263247843784, 710.99341244825166, 711.2289972749071, 712.34051387026409, 712.9382996868037, 714.03791354823534, 714.10133020463286, 716.08206845127791, 716.63936490642311, 717.35783659292872, 718.23149956387147, 719.77845790592846, 720.3270796085053, 721.38792662453227, 722.77867640490626, 723.40477505572278, 723.59783860753714, 724.56094560161512, 726.07081616864753, 726.59409671513436, 727.45641946275737, 728.99210384142668, 730.21393747508785, 731.97783224488421, 732.78212400280233, 733.02333283555652, 734.06291735979244, 734.23464275277013, 735.55347500934784, 737.6574142673237, 738.46441812563273, 738.84875816581302, 741.93996218879772, 742.99500670490704, 743.49999141147885, 744.51334715386065, 744.56006727003933, 744.79476965505364, 745.29253201681695, 745.54200808196015, 745.75372343945196, 746.7062324533573, 748.17939330164722, 748.26591608948411, 748.96531464401539, 750.01158449173511, 750.05051327934211, 750.69107375658882, 751.050388133507, 753.46187092738433, 756.75523189051114, 757.27959705024341, 758.23996653721883, 758.32369769881041, 758.70066038700929, 760.1096780635271, 761.34793229422178, 762.90396587074758, 763.57437541168974, 765.36504388009178, 767.17564449938754, 768.13097478785403, 769.15029116133076, 770.17976552233733, 771.54235913385776, 773.1133762479293, 774.46066452543175, 774.87093360602489, 776.16735548289853, 776.83138376734871, 777.05540288218594, 777.1766171805034, 778.32562719572491, 781.57536075348446, 781.81371062188452, 782.77637008966349, 783.19503747408294, 783.63098928494935, 784.16215070592068, 784.71502175152148, 784.97672099232159, 786.44238578283534, 786.9509580229078, 788.62832768011572, 789.1439944156607, 789.31162297352682, 789.66556744456761, 790.08009047320195, 793.07645867213148, 793.2928458696739, 795.02521279427026, 795.54687382919928, 797.43940310085895, 803.9634366116934, 803.99818325139665, 805.14532531096313, 805.24892386504428, 805.63586227076439, 805.67907016099264, 805.87318166443458, 808.66380889918639, 812.02133964812094, 812.33662435881536, 813.47571460841937, 814.73874933406353, 815.19806325425736, 815.84841096618254, 816.2996703198952, 817.258238371723, 817.46558730080312, 817.53194997912044, 820.34218068766177, 820.51720259825913, 822.70720230321683, 823.11492845805719, 824.82482636581835, 827.1349728487404, 828.92870252201135, 829.29389751117071, 829.43649822329849, 829.76722045397412, 830.76877779043969, 830.91246451662289, 832.31554096980415, 832.38515811376715, 834.21929924298001, 834.96943815902046, 836.70541645495166, 839.24045867697555, 839.42780122306533, 842.37918245989272, 843.58590508397685, 843.98469512569318, 845.29586316855352, 846.40878005920399, 848.12743728180044, 848.19684922345834, 848.48578542970699, 848.73477809156043, 848.89780898762933, 849.53272762090012, 849.55897360563051, 850.45851790685504, 850.51246624269584, 851.44350455107792, 851.74570693988244, 853.00605135248475, 855.59217381844996, 856.405730358646, 856.53517744886335, 857.24640686566681, 858.24387720358482, 860.20095987805053, 861.09747202179256, 861.93064816699371, 864.45586310342753, 866.08084458747385, 866.61160648890245, 869.43816760042512, 871.13094037914902, 873.44477997110369, 874.39593463535846, 874.69775021144164, 877.99515081546838, 879.09016324817856, 879.15675226679718, 879.6586679658293, 881.35666242531033, 881.92320589562985, 882.96999360719406, 884.08627400117587, 884.17339042733249, 884.60098432685697, 885.94306319063332, 886.53798710696071, 888.50673259677865, 889.10467411150648, 889.48600239624841, 889.82309754933124, 891.34881732487395, 891.80190594303053, 891.92289532443999, 893.92079526440205, 894.01620006040775, 894.12989252508282, 894.54458195615643, 896.08412138936717, 897.09480930336258, 897.36229706656627, 898.08186761246191, 899.66917923676101, 900.29144663687373, 900.70223377214495, 901.2748166323546, 901.60310460190294, 902.50088746593144, 903.50958664989321, 904.22590562452694, 904.28463161857417, 905.35908239363516, 905.52675411860218, 908.20681168471947, 908.79951417988832, 909.01445296145266, 909.5282800922264, 909.56016854877907, 910.38139904259333, 910.87321994764091, 912.12515888516145, 913.03969956061167, 915.18371867255428, 915.21513022179363, 915.68513493681985, 917.43859535515298, 917.59047122023651, 918.21706707460703, 918.32547193886501, 919.06883162010104, 919.3299158900752, 919.63038946158474, 920.40499948084539, 920.48788620119251, 921.05521496305346, 922.70053920526118, 922.87557652373971, 923.06979222527366, 925.56257518193945, 926.78412658628986, 926.95077153847456, 927.96567323383249, 928.10067344013191, 928.24616268881073, 930.35372064179057, 932.79102741175075, 933.23199196472126, 933.26891552567997, 934.00291701801734, 934.33861676505569, 937.13557224937063, 937.7592823939525, 938.74257859908244, 939.71411094835514, 941.09465828359498, 941.89802978400485, 943.04337278509593, 943.14243477901471, 946.90214426913781, 947.85354181538662, 948.88312695796526, 952.06055005034489, 952.15579053659189, 953.52676100278745, 954.93220621606417, 955.52284853950312, 956.39097014261097, 956.84149868953295, 959.28754898614625, 961.52804834291283, 962.42995057804751, 964.21670940609806, 966.29356974536086, 969.37901290744401, 970.17066136263975, 971.37891998021564, 971.48586325029441, 972.3452596888776, 974.2812842719112, 974.7855832021653, 975.87148114834952, 976.22250670263008, 976.3471759288625, 976.6996246094601, 977.1250157670828, 978.39692990092249, 978.59233102878397, 980.12447540152903, 981.02128588288292, 981.38949063323821, 981.93650990668675, 984.63282581015073, 985.38812358202267, 985.43886013009364, 986.34717866480241, 989.50816887564577, 989.5953700584372, 991.58356504220774, 991.96070206373281, 993.07357075866889, 993.15507984232352, 993.17791965206345, 994.6673386345584, 998.07487176617758, 998.37671174852596, 999.13444299614571, 1000.8161485923052]),array([62.705755265561535, 63.51663404896469, 63.831743849258778, 65.196179613258252, 66.246118016552956, 67.37199464189861, 68.146010833230548, 70.361537600093286, 75.017564669250532, 76.064978105275401, 77.144066649287907, 77.195846786262564, 78.973467064927561, 80.011835754171912, 80.908799599476453, 81.544448887434527, 82.72547993307758, 83.395940053333803, 83.485466998230237, 83.65427363060482, 84.139830429342084, 84.41621601837042, 86.065059483378278, 86.106215150560374, 87.555039118937202, 88.297021196665824, 88.486455390181717, 89.948724030132851, 91.320771730389666, 91.491100101422134, 92.166867211928576, 92.47635204306664, 96.197587760404801, 97.187555080822449, 100.74905197211541, 101.75731435561212, 103.71160847408655, 104.05706686345077, 104.47614353941199, 107.78591427649791, 107.82194328778573, 108.02190901134269, 110.1215371770928, 110.75009261408367, 113.22767527713656, 114.07664489683044, 118.92958207748734, 124.37214933186661, 124.58821286610019, 125.08222803043026, 126.87346994385, 128.74559645592626, 134.37902587120814, 135.42337315427542, 135.62323978703293, 136.37589581530179, 136.41675932646834, 136.7190120263611, 136.83891163553355, 136.9750054271143, 137.16032185808223, 137.23022634402466, 138.21212265411498, 138.83144281983505, 141.10025952800072, 141.80111514328786, 142.37944244016384, 144.42383404493199, 144.5000824744188, 144.75537872238624, 144.8954067711708, 148.04662335922453, 148.79356048370533, 150.30338398487979, 152.18034969788675, 153.23668305033692, 153.27135951939962, 153.62580246887561, 155.45565836903373, 155.83264502350403, 156.51217532086014, 158.06649978658092, 160.66236812494134, 160.6987883944517, 161.40155873924923, 161.76431602980443, 161.81485710032075, 164.01438040321867, 164.08788705984713, 164.45294785489497, 164.55088698889503, 167.77602428670124, 168.73607376804682, 169.87487455824208, 171.48445584387241, 171.8133464160492, 173.55655064767609, 174.47834709108176, 174.67431562699102, 175.42044198805451, 175.70757429078182, 179.72742287336419, 180.34884668714784, 180.74366410729812, 180.77056269221777, 180.79075411092299, 180.94963558299543, 181.05255435213451, 183.17585700753324, 183.88948459919681, 184.25299017250157, 188.11307332437809, 190.00710655554786, 193.0058815236294, 193.11746238354255, 194.43607808482943, 197.45199829380135, 198.2352928388575, 198.38998047630025, 202.87885175893874, 202.99293502561818, 204.87181563012692, 208.22333786285924, 208.98382323175255, 212.98119149818882, 215.14995517038497, 216.0664638231639, 217.41175840013031, 218.58835924612436, 219.17830732354156, 219.51543334470895, 219.7095529982077, 219.81179101809181, 220.00669886597677, 220.12135638544845, 220.8132377382222, 221.44512787271296, 221.82968228433231, 222.6995537398769, 223.02141946784275, 224.61485659111563, 224.82322210276695, 224.8939428750268, 225.36707290691379, 225.64541358476311, 225.81697458071625, 226.8678801232721, 227.18519878395992, 227.38729792523313, 227.82703713507371, 229.65842420108217, 230.63383782823624, 230.95503128562507, 236.74262334779621, 237.63433622116614, 239.17547730366945, 239.59254174803277, 239.81742462912234, 239.97638903779139, 240.44906624447614, 241.3907879609246, 241.59299069380666, 242.70642524973317, 246.31869678855517, 247.20296714845105, 248.39192992217093, 249.08523807531927, 249.17602663186818, 250.1139741528269, 251.05959991368843, 252.28049304145549, 253.74248952923969, 254.35704479886166, 254.84160395748896, 258.29425095500881, 259.01319782808258, 261.832827315565, 262.42385557299855, 263.67608192732439, 264.74276413556015, 265.47091801970362, 267.59307938510887, 269.46173047880757, 269.815404897267, 270.61728723843908, 274.87392801794448, 276.86635415177261, 277.83188687671503, 278.88091850525745, 279.89059495345504, 280.6185374720867, 280.7580424407106, 281.64645160636695, 281.85389781180839, 283.6006692913362, 284.32920892083155, 285.27754194910909, 285.36002325716004, 285.65393282643134, 285.68978141763904, 287.5213263618877, 288.017911955118, 288.77093169931555, 289.01794097790969, 289.30612654717402, 290.0868930249751, 291.03930677628784, 293.47278803029803, 295.44082962744147, 295.65793982691531, 296.88063281398479, 300.11982842750916, 300.69697107080822, 302.99796830917569, 304.34333115954445, 305.57263068000668, 307.62496343856429, 308.25378285480133, 308.68449913380283, 309.65929578257806, 310.30667769691945, 310.79990617074463, 310.86963052949375, 311.10043701639682, 312.86921052047023, 313.0543062388146, 313.91173397086203, 314.84358843043941, 315.06168660821015, 315.46911009932245, 316.40593056872888, 316.73486942088596, 317.20328210271771, 318.02666372806112, 318.16123721102963, 319.4629838201069, 321.05888972393092, 322.5135211397855, 322.82750287722234, 322.93095362489601, 325.74164089955656, 326.13923372864548, 326.31166518432752, 327.23775413051851, 328.34946275303031, 329.40978094860458, 331.89365218420915, 331.94611847995236, 332.17901238539798, 333.94304088243678, 334.54210699820601, 335.27073860688074, 337.17455716184452, 337.67661178367069, 339.86606523879635, 342.67993581855688, 342.93936374493717, 344.27755216345764, 347.33810599632034, 348.11842728712122, 348.3067483964976, 348.35684844977283, 349.26084441956658, 349.94676606390948, 350.31942151965046, 350.3448692920623, 354.53615381682027, 355.40937353806095, 355.78767377856798, 356.14531238254517, 356.52958123689103, 358.17542273784261, 358.37668646032012, 359.24567048539308, 359.43229902409377, 359.59000594945638, 360.67438557534643, 362.22706451944481, 363.27475788865206, 365.06140606348771, 365.81820398412538, 365.95765013492127, 366.6731536775934, 367.08563860034099, 371.88127215104112, 375.18309992753234, 376.24965841030104, 376.27926346973766, 377.32215599726277, 377.96914364209317, 378.71247634550065, 380.59132047927005, 381.34915976690178, 381.70112686602795, 383.3073000414301, 385.44607636185589, 386.40313402377086, 390.01883377595789, 390.21827080560246, 390.40306416263934, 390.72387909125581, 392.51647579777563, 395.00460034641685, 395.26627221991453, 395.95317294041121, 397.97767936167753, 398.72625668929965, 399.3497963528639, 401.48655581870514, 401.535752669136, 403.79461652797647, 404.74326976069386, 407.03087247813914, 407.86081965648862, 408.05295571224713, 409.51029708955247, 410.32819567547222, 412.1353177673812, 416.67826618373454, 416.99294245779942, 417.27969178273742, 419.37801094487372, 419.98784654640951, 422.11601347408174, 426.55907587410513, 427.55624078113715, 428.10750737956772, 429.378235991091, 430.22803512098454, 431.04324307643327, 432.68338703953913, 432.77731040278934, 433.86988828922722, 434.42330722978352, 435.38337723126472, 435.74308922376423, 436.96093163035334, 437.84016256158611, 441.74585398261365, 444.80450190967753, 445.37393175937206, 446.03238266640187, 446.63502250355947, 446.74940031217551, 447.38191480182081, 447.96425231687948, 448.06663139162737, 449.14920875517055, 449.65623033631925, 451.29897163025288, 452.09334244446273, 452.94318782399534, 453.40462064944933, 454.41804552873572, 461.78623614107704, 462.67661418395198, 462.75182405552067, 465.0889144477955, 466.05377147711289, 466.71934299570438, 468.46269756701952, 468.79529579952606, 469.25353357685401, 469.46229915855128, 469.68239838342464, 470.31539340177096, 470.63037960236295, 470.72199919508171, 471.09854390098224, 472.27163486752312, 472.89088189826072, 473.33334523876988, 473.60398783791226, 473.89227313199569, 475.40364449434185, 476.8172837941637, 477.96955095377518, 478.09784951371694, 478.14534524758119, 479.63486736141789, 480.56121414946227, 484.4314254242131, 484.59741314078929, 485.22681426200967, 485.93924254890322, 488.43464948039122, 488.79942699418564, 494.15897642023106, 496.20097122730965, 497.20734081180757, 497.58136421957255, 498.09722155977272, 498.24108487602473, 498.47479701256123, 498.60473005988996, 503.56606469468022, 507.54210711870775, 511.3185172817349, 511.62596625206578, 514.24346063192024, 515.28288734031889, 515.3494650563423, 515.81933724192766, 519.10445077090822, 519.52252526362031, 519.62691776810152, 519.67320013435119, 520.2819093371437, 522.50325427914845, 523.38953692059556, 523.64051009612808, 524.06559575178744, 524.26923032161039, 527.05643927676351, 527.40586286068935, 529.10680107187204, 529.68977856638571, 530.25938961365728, 532.0020911182537, 532.34426121345439, 533.13794486003383, 533.31510078757117, 533.73852904759224, 534.75014744491375, 534.78055326468768, 535.91363066530289, 536.15366825933927, 536.59720090285703, 536.66807315218648, 537.45708319592302, 538.2580278298733, 540.3454207889605, 541.20529909279412, 543.07394152701727, 543.60703089393996, 543.73861071229135, 543.89163333076851, 545.6312563392288, 545.88159700468248, 549.23576947496758, 549.28352632719611, 549.96552163388412, 550.71334736968936, 550.82961627412487, 551.09039863702594, 552.14539200744525, 554.70357313772615, 555.3120724690425, 555.417611233711, 555.66174123048734, 555.81668287892319, 555.87933465433559, 556.93545427317758, 558.46667717938169, 558.51406260981639, 559.081047282702, 560.11704149670231, 561.26594668339226, 561.97064430879357, 564.01708517123279, 564.97154240818998, 565.33431928194591, 565.72800513796813, 567.9791002552181, 570.61115539770162, 571.70223668808217, 573.44187078147957, 574.5148756761954, 575.24754677136241, 575.93046535560586, 576.99765919092158, 577.32128091445054, 578.39385294715942, 579.15823596757184, 579.25426685304978, 580.15989164195673, 580.67574475295783, 581.22228128052791, 581.55606473809257, 584.50824842732061, 586.78600239003345, 588.60115513750338, 589.567678026365, 590.33050206437917, 590.656782734849, 590.927429978492, 593.19214760023442, 593.39565309953412, 596.54487651820659, 597.02124628935155, 599.83527207517068, 600.53741899314457, 600.88541210193193, 602.2818531453413, 602.6022782765715, 605.81434385031969, 608.17984945335627, 608.93877527310224, 609.07481812010735, 609.33747098986009, 612.58965926535382, 613.00443028235111, 614.02772496148225, 614.28304323342252, 614.65590184000575, 614.76026961979744, 614.81214318613434, 615.79360112740619, 615.89584946222044, 616.56607527526546, 617.93039557558222, 619.24248840956488, 619.51666449246932, 620.11225231488027, 622.26986141879843, 624.64618554010758, 625.00507275800339, 625.03611450270364, 625.10895893558359, 628.05427846839405, 628.45383962002541, 628.83056797125312, 629.57836451184539, 632.37897133278261, 634.29705707116216, 634.94928133055498, 635.97290803099679, 636.72712602967488, 640.06062925838103, 640.2569931524406, 640.94017983330502, 640.98058969642375, 641.49702057406523, 642.00584783855834, 645.34645136048118, 647.8445011455342, 648.29371676842686, 649.20112464935551, 649.23999181433271, 649.68559089434734, 650.77080942642385, 652.90447855181094, 654.21969356740931, 655.38190375721456, 655.86965277997763, 658.49910227409407, 659.91351356246059, 660.44929883560292, 660.87878774528224, 662.92934647140237, 663.65958287077569, 664.75795838981117, 665.05730864500777, 666.25547877545716, 667.0903724409975, 667.48139755464547, 669.9801467539005, 673.51840477996052, 675.30399927015287, 675.59694743410114, 676.72627952158382, 677.60455108023575, 678.5980035182929, 679.21336260512544, 679.99928276061564, 681.17194158986024, 682.54202478984041, 684.47299063155037, 684.85755268478192, 684.90237412250985, 685.57792472296774, 685.63652533562379, 686.42078015243726, 686.56042957644456, 686.91427893348043, 687.34288541895171, 689.07625849299268, 689.23090912654084, 689.42707011345442, 690.3487786243262, 691.84966820489251, 692.59091948091111, 693.28583787861703, 694.64713367575871, 695.0119734473235, 696.58065567725146, 698.0403496025566, 700.17520215829825, 701.11977390086963, 701.4599547439725, 701.79728949023786, 703.26003932368781, 703.99556168019956, 704.48234744597505, 705.4935732818933, 707.62806462560445, 707.85974931644409, 708.40516822481732, 708.8828908586521, 709.37102963123732, 711.59765379424255, 711.8768560262489, 713.25255080402826, 717.17727592352139, 717.23163041823841, 717.29014352056674, 717.78515830592403, 718.66290245682615, 721.72102838933665, 722.46315784754881, 723.54654538541274, 724.09625655816035, 725.37166873763226, 725.88054207892276, 726.03119830150627, 731.39772144053745, 733.37614182373579, 736.17046599395769, 736.74552703344523, 737.17592747555705, 739.03559182810318, 739.63961738695775, 739.7201909820069, 740.00729429454464, 740.66102726171096, 741.15334560136864, 743.21589393111617, 745.23869952723828, 747.2727524112214, 751.04384828327636, 751.16452155520665, 753.31502794408914, 753.43658876800282, 754.02932216150987, 754.78473819337853, 756.63851490013724, 757.35502231311978, 759.47362137531502, 759.49505840848838, 762.65729074957437, 762.98626752716063, 763.23987914734676, 765.58202771129095, 767.0012488854594, 772.09801051253589, 772.2913260125847, 773.8700839707775, 774.80783697096763, 775.05954635910916, 777.68257860606468, 778.42300103380228, 779.39666952112032, 779.99110468695039, 780.77527261866294, 781.31759272068928, 781.41509901597442, 781.57888476437643, 781.71873941049728, 782.07355929563255, 783.78654576227405, 784.80074888047216, 784.88058292731478, 785.82821246102776, 786.83367506824175, 788.73959370784632, 789.40867566588406, 790.02582996038677, 792.95792943916865, 794.22883537134771, 794.68158993149041, 796.37583444754785, 797.28154224086256, 797.49671296331724, 799.9778723687109, 800.03077852699619, 800.71342248968813, 801.31452694592576, 801.40327353435384, 802.0297772977076, 803.51115862396432, 803.68104264680846, 804.85501621795925, 805.75041231566297, 806.05978445809706, 807.02059320074409, 807.5386329844672, 808.44049976899578, 808.46532498279021, 810.33314267705225, 810.4286612780345, 811.92564807882343, 813.23289345233457, 813.37676087602404, 813.58779945912534, 814.21375635834625, 816.7914546162616, 816.85605099112388, 818.05064445236701, 818.56500987772472, 820.02286552214957, 820.38481097371039, 820.55648235476849, 820.60746825383649, 821.09628210791993, 823.24608879115749, 823.83728366447235, 824.4273689475533, 826.29306279214848, 826.793025916283, 827.14871799322589, 827.53477470759651, 828.24869241852559, 828.53289278062221, 832.18149878389511, 832.46240849836556, 832.60018790955189, 833.36398674977454, 834.51851015068621, 834.6410647038615, 835.3716655968002, 836.86166764472739, 837.90599098144833, 839.06075766365859, 839.08789925259123, 839.25756655165662, 840.78852181958234, 840.87920577680802, 841.09862038260201, 841.38328019640653, 843.26333866843845, 843.98652279540738, 846.06522014577331, 846.45911857933663, 846.60712318136689, 846.78933249826696, 846.8710043603993, 848.19861031481673, 848.59832720862619, 849.51259424993577, 850.78014416936605, 850.84907158612771, 851.47687713563914, 852.12179440113687, 852.5773886081663, 852.73646937898263, 853.21636435632138, 854.61798325365305, 854.7317421522082, 857.05763745327943, 857.11990297368322, 860.49993712933815, 861.39949712080818, 864.68547596218514, 867.43721285640959, 867.63213779481464, 867.83811475782227, 868.07917398263487, 870.53757899300979, 870.56015766902181, 870.61849263695638, 872.91006361353118, 872.94401986291462, 875.43065409558267, 878.63376076681675, 879.49870258962619, 879.87691453610591, 881.55898066455268, 883.82329026265722, 883.97687433143699, 884.86517121560655, 885.04193159569684, 885.41418238856238, 887.16836515877776, 887.82233933782948, 888.48741343406959, 889.07981860451946, 889.91566672459487, 890.78787529919487, 892.02976254955013, 892.58749421054495, 892.88677998690457, 894.13804870811691, 894.15958015791352, 894.29200430205185, 894.65264938003418, 895.08362609721178, 895.2281162512669, 896.4754034766197, 899.50088896509862, 899.70159431101115, 899.8676643285296, 900.3106114507018, 901.35090517219555, 903.32899654651885, 904.58092971830922, 904.80549703755366, 905.97750444680264, 906.17938194282283, 906.75537223635195, 907.06438661015841, 907.90565823562054, 908.00525790873144, 908.04272286701132, 908.10188264327405, 909.17597621336301, 909.66074112057743, 910.82695346924561, 911.19561606107004, 915.05551902190462, 915.290346524661, 917.02133988073638, 917.09652558941877, 917.43945073844873, 919.19004425084177, 919.31383652780141, 921.15103260924275, 923.58531825515718, 923.67064061955989, 923.93055946262973, 925.01387734748778, 926.88860009349412, 927.32939106532956, 929.40973793161425, 929.72710325231833, 931.31430320515904, 934.3574426286408, 934.75920984681682, 936.20849421385856, 938.72270461007929, 938.98246070699508, 939.13481583934197, 940.96216849779978, 941.03577919363784, 941.08297754560124, 942.06877860047393, 943.92638773560736, 944.22806221659698, 945.17022989948191, 946.08036423671615, 946.25023724640812, 946.60794620334684, 947.56690697897602, 948.88460698407061, 949.14718505508608, 951.08404016768293, 951.62042258177109, 951.99473504412447, 952.45037032518439, 952.8016279813454, 954.44251463825901, 955.89796213022544, 956.01023985087875, 956.34405834647976, 956.60871251092271, 958.57112104719226, 959.03842101713599, 959.19558536578313, 960.15817069736227, 960.97851986999342, 961.81632251011774, 965.7124933565608, 966.36400823022802, 967.81191285760531, 969.39883213528753, 969.67252523522711, 972.76251669505723, 974.27246085877687, 974.51024057644509, 975.76258193268018, 975.78312854583839, 976.52672665391663, 977.34491926227417, 979.22047339846051, 979.33756232402402, 979.4938212114206, 979.63760652253291, 982.02231719791382, 984.26145561484975, 985.08263912475377, 986.46869761568951, 986.71590338799774, 987.87785050328284, 989.02844815256287, 990.21129740428194, 990.24780531558952, 991.43136806334496, 991.89538466947067, 992.5244007372055, 994.89191964619727, 998.46006489938304, 999.48968224147893, 999.60725655261479, 1000.1553895486056]),array([64.859644228129852, 65.930949982584025, 67.648683398098967, 68.932291894994918, 70.453993850842124, 71.906760054016758, 72.289798985543683, 72.406652214435354, 73.403114996612658, 75.264871133399012, 76.599441719455442, 78.405335698914357, 78.525416207708346, 79.496719920310142, 79.655779831359538, 80.631044251894224, 81.150217901644353, 84.809868184518578, 85.023974937733939, 88.255003945325313, 88.304268684607322, 90.293767289673056, 91.075358577804053, 92.487981862266537, 93.348112873186196, 93.462102296386249, 93.817479738998571, 94.450706755734359, 95.43968523387214, 96.859054570674147, 98.304886171255831, 99.033015802446457, 99.80466891044145, 100.8661453143407, 101.73700433609176, 102.21082685764175, 102.44929722743711, 102.93076477076427, 103.20484588486624, 103.30092446847921, 104.39846709034457, 104.61313451363883, 104.70592007571628, 107.42790615037863, 108.6119098400678, 108.71517494842389, 109.88806835486992, 110.24829775609679, 111.49606887805288, 115.42813297017911, 115.86146605608009, 116.15019142680323, 118.16542599219935, 118.99920353154918, 120.25698459204419, 121.28593816845539, 121.67004845078175, 122.50115711716028, 123.20742381319937, 123.44454359211196, 124.61160562306698, 126.07052639818669, 126.34385086792126, 126.93726560453578, 128.23375581562107, 128.95556430075055, 131.18125995874763, 131.35941435517324, 131.65096619609673, 134.17359574760226, 134.8769761333709, 136.03529455724799, 137.9003135518179, 138.15819212292561, 138.29828549858962, 138.37710590102259, 138.91391470972587, 139.62148213498639, 141.50102126534418, 142.32639829318322, 143.07400814011748, 144.73021994933123, 145.14437140077814, 145.27201793588202, 147.88278960529098, 148.5827695300911, 149.5698230893498, 151.55477582994024, 152.41185809392664, 153.86634849759673, 156.27542511960027, 156.95477860625851, 157.32107930231848, 158.17699102313202, 158.96215728088137, 161.31032758261324, 161.46154777897237, 162.25220502477003, 162.58219078014164, 162.7529686635059, 164.00602925674275, 164.06581393236084, 164.51000619638546, 167.22990666926572, 167.65260214059489, 168.73168784655488, 169.73992115056939, 172.15682514906808, 173.64852430944384, 178.14661645633467, 179.13099287102122, 180.55666424132542, 182.03695130941483, 182.17789635566345, 182.34194590527136, 183.05606775039482, 184.10179933387133, 184.2986685475143, 184.88071594282428, 185.30053775392196, 185.54249464403324, 185.57548776841966, 188.13847883243133, 188.76334696713513, 189.39677075539305, 190.27197291160243, 192.36860581735519, 193.54088068347028, 193.83796455112659, 194.37446695015205, 194.53458640319607, 195.47502783205471, 195.92337214563847, 196.75295967932959, 197.1005908536207, 197.24925550776348, 197.63351700046886, 198.23769919161782, 198.75324432350953, 199.43291669125873, 199.69560868120615, 200.5939856314285, 200.75358272860493, 200.96050873094507, 203.65277801556508, 203.71259734639889, 204.31761123888896, 205.08398399751482, 205.47764449418688, 206.72458346037922, 206.99935816537246, 207.69030465291632, 209.18117340110379, 210.50944035954652, 211.06334651299841, 211.1035542516492, 211.21049913214412, 214.13847875376101, 214.33499692701068, 214.5845080052791, 218.26063604358629, 220.23815651622294, 220.68750236536721, 223.46353106264687, 225.76249223334338, 226.19095658821485, 226.42187895416512, 227.07376482625227, 227.68414017891803, 229.01259726501317, 229.56548029196401, 230.28290401266585, 230.4025931733924, 230.87128017729319, 231.58960826402492, 232.19342060285567, 233.83809227235119, 234.53002807002423, 234.68352843845139, 234.77670820847925, 235.09124009781121, 235.40268765727177, 235.96399125303066, 236.14557461533172, 236.20575471005836, 237.63428252630146, 237.78122885539642, 237.90935511574222, 238.69588226154895, 240.08228135934968, 240.83272765161095, 241.07136742385438, 242.03764114027322, 243.24667942216951, 246.92147455712805, 247.05719672840064, 247.26804215430195, 248.01604943221349, 248.05814612125835, 248.23647221651726, 249.309075287859, 250.97600100634241, 253.68383171416465, 253.86623892138797, 254.48432732584558, 255.51284184604711, 257.01986807429978, 258.0220110447533, 258.40218370864187, 258.57237052689595, 258.66794968901968, 259.7897276326695, 261.28621639853145, 264.80142955685642, 265.1524726612376, 265.29110822074949, 266.73890882861576, 267.04477203945714, 268.6170047058414, 270.24155510338392, 270.8617410934832, 271.62190341672289, 272.15847171100148, 274.85979944768417, 276.57035639666839, 277.36939534648678, 278.82759213997838, 279.31234275288386, 281.07693572844784, 282.86657996714149, 283.62434528424484, 283.75740600594338, 284.95406711672689, 286.2104616283126, 286.99215608026543, 287.12490654281817, 288.17751880555858, 288.79233076778081, 291.16667459435547, 292.04711925351887, 292.1016289101766, 292.68772286639836, 293.41799610627385, 293.72849553157414, 293.93565893569598, 294.43861989700446, 295.2774028184819, 295.8172577820406, 297.91863638137704, 299.10414330017977, 299.5933723533584, 299.96366711538462, 300.86268915357562, 302.47110452291065, 303.26294480631896, 305.10271666317016, 308.25899505233701, 310.90964365187659, 311.2886513796625, 311.57375082250343, 313.1335784105666, 314.78518158024474, 314.95779479656858, 315.59216579267894, 316.87655678910392, 317.56141944517805, 317.65146575339429, 317.9108080435945, 318.73526141750472, 320.05651625168343, 321.43654959441835, 321.4874587152849, 322.74547942654902, 323.73941045269612, 325.12701197218064, 327.02645292165244, 327.22666285312846, 327.30063056486546, 328.80117060263422, 329.53963871014253, 329.59402512451356, 331.58100094725108, 332.12164270203493, 333.33416023088631, 334.98190163624491, 335.82465384544543, 337.09668503048312, 337.82423820540197, 339.11332869989099, 341.35576695326893, 342.1567202272858, 343.08348244629366, 343.65360698920239, 343.69032438387802, 345.02819340892825, 345.15779329807918, 346.80202527017371, 347.20152040266032, 351.7847205637006, 353.20994083135508, 353.75078374986151, 353.83773288540442, 353.90896483747076, 354.15034308225, 354.19651266647429, 355.46431601294012, 356.22165521589562, 356.76483372751915, 357.88358516365798, 358.3100808215205, 359.38945703804478, 359.7016711645735, 360.11769567990677, 360.72686676001388, 361.97507378934517, 362.38905128152504, 364.45000922889187, 364.98244228608689, 365.95504378557365, 366.23081156377344, 366.41710700534071, 367.39145882378557, 367.92807762682963, 369.58164380043343, 370.52066312995942, 370.62663034261732, 371.43457346685727, 371.86407842463638, 374.46476949777519, 374.97491468170318, 376.5004038268367, 378.48920741322155, 379.28807714431599, 381.23478662501242, 381.5380197137506, 382.53657642190791, 383.46604368618864, 384.39394337993116, 384.43592381485189, 387.55941922368123, 389.55472509872948, 389.90582099338985, 390.50725571171279, 391.51377403532348, 395.39623819614286, 395.71804434826379, 396.64427188545676, 401.37170341570533, 402.87748230330618, 403.19076849293054, 404.59614698538559, 405.22587083204587, 405.59801754052921, 407.89134649919743, 408.48642786491553, 409.19491482972643, 409.304238489417, 409.85860213109237, 410.53208443727112, 411.28163726972406, 411.31270628205851, 413.02959584040275, 413.56638769970675, 414.71499830473846, 415.01217153399978, 415.44970256297222, 415.71233740556727, 417.08704168661785, 418.54416389224116, 418.88686213858836, 419.64633904011816, 421.55880590285886, 422.40679225188222, 423.81824944368805, 425.50435554913969, 426.47417804819446, 427.86899843087878, 428.55217580161377, 428.62901538870301, 428.96297686535689, 431.81375827668995, 432.30345083530023, 432.40783229045144, 434.7946802828356, 437.13269582270482, 437.67740253985107, 438.12577302880737, 439.69445204012072, 446.42522833066965, 446.70359531389005, 446.91473757694808, 447.80796845989266, 448.95115370110409, 449.29117216041914, 449.49499679301198, 449.58331823975783, 450.23526212600603, 450.77183862443633, 453.12916623997825, 453.26693653741359, 455.83199218410846, 456.43318647176307, 459.53165884591635, 460.73513631048826, 461.08814521831198, 462.70957407902824, 464.85815065699535, 465.45218518142264, 466.00444170188928, 466.34795532608933, 466.96686141244322, 468.56208829351351, 470.18373357005345, 471.01595178838352, 474.32122722858622, 475.11840466491839, 476.1553931616495, 476.50875499394203, 476.66030902784183, 477.63924258033933, 477.81443423248686, 478.63258527056132, 479.88516566934055, 480.23059089362528, 480.48786944305579, 482.18907395892722, 482.43033934357015, 482.75038750686855, 484.08761513215978, 486.12235312118423, 487.10712476768271, 487.28679038743712, 488.460519218066, 488.57790278808079, 491.08934578580539, 493.57290950366536, 495.86864531235983, 497.14457845060934, 498.64685261444544, 499.63817759746081, 499.83179019095087, 499.86231245259222, 500.56326447444093, 505.81019666654026, 509.87731502608875, 510.73381615250543, 510.75964187515842, 511.31698788149981, 511.38815755267109, 512.13615769025625, 512.34276669548683, 512.57112094843603, 512.90982439545019, 513.59643417096709, 516.97010295878533, 517.48494790036216, 518.24249595202969, 518.80746805722697, 522.71316924986684, 524.25339677312775, 525.10911399316888, 526.08988578801154, 526.18343307379791, 526.61029003687406, 526.98437110593943, 527.33217702558238, 530.7358131263627, 530.88466766430804, 531.73530399587685, 531.8670980119756, 533.3300062730334, 533.63843104631803, 534.0741735490966, 534.4517177180436, 540.07185500415244, 540.97678737447245, 541.41376556022624, 543.05848036014379, 544.48876998943558, 545.16007755439489, 545.58732435834645, 547.1020352496331, 547.57911188584171, 547.9197105283879, 548.25827100432468, 548.42421019447841, 549.06872670022256, 549.42442749937936, 549.70417898525488, 553.14628215116534, 555.1603359265423, 558.21881823471665, 558.47391972333094, 558.64267948730901, 558.90356959027952, 561.07936921043722, 562.18407432698439, 562.94503670555935, 564.69731621713288, 566.5274361426724, 566.62554208840299, 566.67631864774717, 566.92599871889377, 570.22799339155404, 573.06076826500873, 573.12972481716588, 573.32196565269589, 577.86742282014541, 579.97979440582719, 582.25942883619791, 585.53640633733642, 586.9360899494493, 587.27649531429552, 587.46981880880446, 587.72068422067935, 588.37782210463786, 591.49016847055759, 593.07104236860653, 593.30220518067722, 595.61693407864118, 595.97060375265198, 597.42930435889389, 599.59992219543551, 601.29900518684315, 602.30984947862771, 606.3099564575889, 609.11731722678735, 609.83541788995694, 612.13416125540039, 614.36115700749951, 615.05654029682705, 615.09692173566668, 615.45223477652291, 615.60332232416738, 616.54512402778005, 620.43881504887554, 621.74731030034809, 624.72751545598101, 625.13497878324347, 625.5546034107083, 627.32982515217736, 627.83317035410414, 627.99189297461908, 628.45725122725617, 631.04471191418588, 632.59660485510994, 633.12362457738368, 633.95657670030778, 634.29786317257197, 635.00823013291688, 637.02071577486777, 638.38289485469591, 638.83819865252849, 639.64594182357428, 640.25420102122757, 640.7598074128515, 642.02992529305288, 642.32315029430538, 643.03040288665204, 644.39615437436578, 645.90658776392581, 646.15961021321596, 646.86846971621083, 647.78006760184974, 649.47557337701812, 651.19266855472802, 651.61679296509215, 652.04868378349101, 652.18452809639302, 652.46865392389634, 652.78105980755493, 653.75118266269487, 655.84795575341627, 656.31933449666235, 656.47438768338884, 658.73259543571544, 659.92266127370931, 660.99456840736832, 662.73942457188468, 663.41278956995609, 665.19285136975782, 666.07382052485923, 666.14394598948945, 667.63770469167298, 668.5147637225266, 668.71437793815289, 671.88005314382519, 672.69545511541446, 672.82113816833066, 673.05779686747496, 673.49734811729343, 678.06620912262827, 679.67811197048638, 679.89583906231678, 681.984462346589, 682.31158235111684, 684.35751686600952, 684.55000152234231, 684.71499050417742, 684.87674800562741, 685.69530367714924, 686.71044616416384, 687.17277398602312, 687.96585345555741, 691.05352120539851, 691.49612357802403, 692.3949650803346, 693.34684687744402, 696.98718509562457, 697.57206435196213, 697.86074663205977, 698.45474574547382, 699.08336126027905, 699.38415956401104, 699.65323764933726, 700.73067765319513, 700.84860560603204, 701.15706629971385, 701.35644901804233, 701.71726684305554, 701.74061183528033, 701.78336859538081, 701.85298564760956, 703.21644774941024, 704.90277019021846, 705.0921478118662, 705.16019979235557, 705.28536120792762, 705.7732340666596, 707.42978081719843, 709.01476751106077, 709.08155699583324, 709.36891039257375, 710.22611490392092, 710.24939772782272, 711.92107367062624, 716.07145658242803, 716.14089614221302, 717.65592925475516, 718.898012470852, 720.35091580885705, 720.72291396269986, 722.1732215376295, 722.98978897703159, 723.3790044056708, 723.54877638766584, 723.75858371296283, 727.99941859294302, 729.84276236134338, 730.73725234467599, 731.60957035393301, 731.66249482840919, 733.48492149421054, 734.14870203960857, 734.69813963860156, 737.38500726236987, 738.32163366462612, 738.92471978015953, 739.85795279559159, 741.1464334237312, 741.76283867391317, 742.49437720340075, 743.42912699973044, 744.69346388139809, 744.99686778201976, 746.11128500981431, 746.68048922970479, 748.57720599064817, 749.10095350495374, 750.51478330852729, 751.61524502858833, 751.97771296593294, 752.40675560708746, 753.20318871354664, 753.45980182718972, 754.0017312295945, 756.21701119385125, 756.30096387095352, 756.42163661625011, 759.50550909969013, 759.98931744885112, 760.38288869933592, 760.72174091659758, 761.37722134833052, 761.4125529268083, 761.5971427937169, 761.833901340446, 763.60003862156634, 763.8607030437131, 764.49854799105003, 764.59336151768935, 768.61251271619301, 769.01939111867637, 769.36072163328549, 769.86553783639397, 770.61331748047144, 770.75772000897746, 771.57347633524068, 773.65214166733813, 775.14342776750732, 776.00318010781609, 776.33677247760238, 777.8055663355259, 778.59484128946042, 779.20799717274713, 779.38777203001644, 781.7525654885585, 781.91787309043355, 784.13926201229049, 785.38501079531181, 785.64410345572185, 787.81513702691836, 788.75901186902342, 789.33051721008007, 789.679715390002, 790.01665489641334, 790.21768671595976, 790.52317923866167, 791.11138349570092, 792.32137195668395, 793.36048509262048, 794.15743787300346, 794.34909185961533, 796.15578010659976, 796.98258451074457, 797.5237356802204, 799.19117803042366, 800.06604899344416, 800.36632741608719, 801.10479066131131, 801.12486033263849, 801.86089551980194, 802.35174398601123, 805.92168301760273, 806.17646906341042, 806.62875061180182, 806.86523884188568, 808.02867814662602, 813.43477114900452, 814.48079911480556, 814.52084615026502, 814.54974800210152, 816.40230255528365, 817.7861820961258, 819.67497371074103, 820.29430540480575, 820.5474701778428, 820.8461497868833, 821.18530032530407, 821.85529426095547, 822.39295739015347, 822.61504396541011, 823.14940600194836, 824.8061818608503, 825.21515960446152, 825.32949622931676, 825.50833607216646, 825.65456790044493, 826.10423316265724, 826.74664299156484, 826.97627459183025, 829.61614558891051, 831.26004153997542, 831.49572003019352, 832.12346094976988, 832.66074060220024, 836.20048245976011, 836.51940808008976, 836.57289228887203, 837.08325335686368, 838.841583614407, 839.64174405283961, 839.74349298433435, 839.88880570711819, 840.40671152950188, 840.73075859853839, 841.41643934661704, 845.25774868932717, 845.78072496845016, 846.03375718912491, 846.78842985913491, 847.50057980891688, 847.65707115618955, 848.33558368192416, 850.23194303907712, 850.46680528526838, 851.1458941342953, 851.43665920942476, 853.16751522864672, 859.8628296282069, 860.75309802652828, 862.24761849971162, 862.58371035883772, 862.79278767798144, 864.04364396201731, 864.4948665959231, 864.64818519005507, 868.64929745829261, 871.68210496984818, 871.99859064984503, 872.63727508357351, 872.93547986112571, 873.73216030053811, 874.99158522532059, 875.4517956103133, 876.23364925395447, 877.2981910842974, 880.90942953891636, 881.66264381571682, 881.87012157045399, 881.92327602339583, 882.10435744869835, 882.96306376107736, 882.99555287207636, 883.69411429052855, 885.86005682717496, 886.23700287189547, 886.97842574745175, 887.82357585783086, 887.93937549022257, 888.18130953696004, 888.95476475146427, 889.24518244403271, 889.8687368630201, 890.78131142020925, 890.97517950508723, 891.36602528727371, 892.84767342303064, 893.57333779797602, 893.78080364180732, 895.36402766191281, 896.23791928124251, 897.10041990916898, 898.40694676807129, 900.01371554812624, 900.12968325260306, 901.18057377907974, 902.78759641519162, 902.90721503875579, 905.35138414037715, 906.22801204736118, 906.65551128019877, 907.2560018678854, 909.40263595574606, 909.51723507569227, 910.29325789951054, 912.20246713658219, 913.13058065411178, 913.24246547646294, 913.80927471107952, 915.77686088869996, 916.03206279182598, 917.29745449861923, 917.40551274415952, 917.5980930928971, 917.74299332402336, 918.15475096012131, 918.70728842066853, 919.47286935235695, 920.21082072094953, 923.97768315703013, 924.73560290291312, 924.87305023669728, 926.87737222939393, 926.90598138559812, 927.77255892541757, 929.37692299031823, 930.37944161096129, 931.12314244507172, 931.42911138540012, 931.60434381021264, 932.68958641360587, 933.06397417173321, 933.52755460495655, 933.63166181339352, 935.59764094589764, 937.46196458965915, 938.31304656281498, 941.74057583853141, 941.98532146513878, 942.04411190112683, 942.34911634830382, 942.62119238569574, 944.07708282399574, 944.65640860783185, 945.19078478230517, 947.34923122080079, 948.10527824981045, 948.72903830924361, 952.65010882216257, 953.87680248763604, 954.04159266856698, 955.79695687994626, 956.27723538772091, 956.4245328778369, 956.46619014890803, 957.30315639558307, 958.38149076107129, 958.70334556047692, 959.18731649845984, 959.67510035942792, 960.02350150231348, 960.73598166293857, 960.89232269494278, 960.97452392894274, 961.83249756253417, 962.15995027332929, 963.64018126225733, 967.1988752006871, 968.70649263057157, 969.80936320041326, 973.50031673888509, 975.90640251581965, 977.89173054923128, 978.39268309497481, 978.48580570879665, 980.23829772763031, 986.00329690499893, 986.75476321990004, 989.11126362452615, 989.32986433152826, 989.36915145286446, 989.42105224928912, 989.76223043155107, 990.01057696778844, 991.32461246252944, 993.78252978933619, 996.77587262613724, 997.14416799196613, 998.25193020788493, 998.99565195015691, 999.14196806803432, 1001.5478702884417]),array([94.645300856301901, 95.767995348180762, 96.711326265760349, 97.211708244382791, 97.391274745522225, 97.589624873864452, 98.026214605880909, 98.057011003890779, 99.640769651262104, 100.06248395017296, 102.19369643604448, 103.35404281529134, 104.8867093463404, 106.18888816583913, 107.26324347416559, 107.82997879993546, 109.91421183916378, 110.68377796498481, 110.78412058071122, 111.2213949620384, 112.13525698780552, 112.56677157824373, 113.80033638064378, 114.64487539860993, 116.36547083392027, 116.78405360445281, 119.02002164337978, 119.80016377700089, 121.40190380993192, 122.1608728178367, 122.43406842879975, 123.50985311184952, 123.79384388062529, 123.96957282900712, 125.78725470674506, 125.88575535472664, 126.36189746553899, 126.53722767021775, 127.30832066670641, 127.74283510084013, 128.3719527690989, 128.92907373736995, 130.53772630967057, 130.69470749274572, 132.24340935739465, 132.31516769837452, 133.28578689740652, 134.39694070187522, 136.7497175484427, 138.74522407404149, 140.56833446443073, 142.10019645656627, 142.81832291704887, 146.84429039879839, 149.15773425101483, 149.2412752214444, 149.65077008152224, 151.53398866883632, 152.01222315695387, 153.38994312905143, 156.25237630415461, 156.69596419769931, 156.72238415066815, 158.72730482234121, 159.32000934087441, 159.73164503781268, 160.43697266239607, 160.51054616405034, 160.8673909466045, 161.18342095099214, 162.86592141420118, 163.21024329336944, 163.30706946653234, 163.48289149545201, 163.52470554398315, 164.20469507121493, 164.52749256714318, 164.6596037264284, 164.80398553910302, 164.83302218773753, 168.41574549468405, 168.49448932446708, 169.47040324099382, 170.23957530267174, 170.69434996772333, 172.25882225372294, 172.29470671136249, 173.05516790821147, 173.4702201557067, 174.42633198860182, 176.25361450456046, 179.5478919606592, 180.45653251965504, 181.79015702953856, 181.86148864508604, 182.78331714686229, 182.9720242377943, 183.67988500380434, 188.93851816186742, 189.45192553438125, 191.17473869897717, 192.29121585379568, 193.53334642766853, 194.20607148081385, 194.88575358322183, 196.2897365278935, 198.19477507919134, 198.44063111482913, 198.58324362431318, 199.97734490239625, 200.44703960631981, 201.76196596515041, 202.4267856769319, 202.65660991975778, 204.30677836211041, 205.36330286364702, 205.94434857460482, 206.87317208480778, 207.78822661608726, 209.13642842965709, 209.1849389262826, 212.7666967246615, 217.39877918998715, 219.40294038580808, 220.49047919232498, 221.1263009732611, 222.18070592717532, 223.48786173655748, 226.21950726302379, 228.70537613910773, 228.7743279535992, 230.14795278890662, 233.52154696692119, 233.82689070718232, 234.37330346134968, 234.45107690441321, 236.35586910274628, 239.21903706156547, 239.76390101307501, 239.97307594702252, 241.93957541803945, 243.3641573917881, 244.52570695755216, 245.19810387308408, 250.3875097777491, 251.23519914875175, 251.57291906628973, 252.19658041370246, 252.57928360962683, 254.87361812329917, 256.02428533268045, 259.27637051187963, 259.71523838591025, 260.02161135089023, 261.77675030217966, 262.38101883142946, 262.9740040426409, 264.20166059905597, 264.53589646255324, 265.46671634268768, 265.83483317341165, 269.30106418315154, 269.77926586955925, 272.67363245583118, 274.19054414533662, 275.19754172643127, 277.64346372057059, 278.5300408464368, 278.97429474030952, 279.44045574888241, 279.88575535421813, 280.0330350058984, 281.70178946617989, 282.13383880846283, 285.0973709936178, 286.47419123778286, 287.83048271777074, 287.86528002320057, 288.04691320464366, 289.152924829911, 290.7544168225088, 290.85566471279662, 291.67818819232349, 293.14932346533362, 293.52701772159395, 295.06649111039377, 296.65243051504831, 296.6808479904073, 297.86153848400602, 298.47136405883009, 299.53345187604958, 300.91331790091414, 301.76894675338599, 303.30548724926751, 304.24332513848043, 304.30818352899752, 305.17863614279207, 307.99486147765515, 308.41204080225253, 308.49786014104495, 309.57151483751056, 309.90025112692928, 310.32254457243727, 311.85800127343708, 317.26125495917182, 318.5436575818037, 318.97107004570967, 319.50405943704118, 319.6089402985188, 319.69635462890847, 320.24811274472728, 321.84278852097992, 322.54524388449494, 325.46775439142624, 327.03809318945184, 327.37524179277807, 327.76999601190209, 328.15336001664059, 329.50226583123703, 331.7533301415433, 331.98253403500007, 332.37295675866869, 332.78813971313497, 332.83349507474742, 333.70952968327856, 335.18279246895719, 335.38623236443573, 335.69412467334826, 338.26551325783646, 339.3053136049823, 340.27355316226328, 341.87630424149694, 343.49997000622369, 344.27017941227632, 344.86032771791366, 344.99757523951098, 348.23882289405782, 348.31935643572302, 349.2165005453478, 349.54552223560421, 350.00348786434785, 350.58333811606684, 350.79119652274204, 351.95195226773387, 354.01126706267161, 355.01295907714194, 355.55332578340341, 357.44851797861338, 357.95008311917161, 360.25905922142999, 360.40835100279099, 360.66698384348359, 360.88411751482295, 361.07156917384282, 363.24590903442606, 364.98975948157295, 366.99160837933169, 367.874824415771, 368.79171689675883, 368.93777824054581, 369.06054882439321, 370.08144577424355, 370.16759620692062, 371.88024973593679, 374.42151693915321, 376.03198592620583, 376.66744293689572, 377.37495368544876, 378.10924088166485, 378.65910915975093, 379.46258730899859, 379.4932723655416, 382.70842436570808, 384.56396870560752, 385.83313702766378, 388.59154808978474, 389.81177700763112, 389.9022657756077, 391.19007564729833, 392.60846103482476, 392.63454934181397, 394.09672391867662, 394.64219399804023, 395.98963787304871, 397.32061916716765, 398.33524737816441, 398.9143390362434, 399.15991893925957, 400.42657033662334, 401.00789464188006, 401.05064721467159, 402.39620453127503, 402.58510258679206, 403.03157843959849, 404.6822284102476, 405.75159826087878, 406.35847960841733, 407.24680196535746, 408.80663079707517, 409.15305252549911, 409.9905728374635, 410.61732550585447, 411.0683254142736, 411.20890292954601, 412.79499091158351, 415.11868119050314, 416.76598479141614, 419.1158861267632, 420.07850091537262, 421.03971455842571, 424.40647372643258, 424.54310420464782, 427.43612685991189, 427.52955126362099, 427.58973774314779, 429.41917911303869, 430.95265053365858, 431.82130544677369, 431.91168553341595, 432.92750511664923, 433.51518535578106, 436.71008650823649, 438.03050482274216, 438.57844249985413, 440.1343504164355, 440.37703525002894, 441.40542131626091, 443.39986735807815, 443.73415914401079, 446.75767702927089, 447.65286057026947, 448.51867750131311, 449.62497367957639, 449.64758294962758, 451.17424090430382, 452.18623648667153, 452.56073125696719, 453.4230588358966, 453.47689763721161, 453.6679978140765, 455.05552670915768, 456.25284197731884, 459.00088773070019, 459.99429933865542, 460.338089373944, 460.62299693770927, 461.96650925445778, 463.36230599994559, 464.91802572460057, 466.25994248497358, 466.74004421225897, 466.85987673297171, 467.72160426028853, 467.74688775432861, 469.8451251609286, 470.12075203627433, 470.30555108261552, 470.87516227415023, 471.4926973153822, 476.03514651393721, 476.13803330994682, 479.49951419977356, 480.3536730723863, 482.02275361651118, 482.54719201978986, 482.71072582059179, 483.65049617855055, 484.01001118781193, 484.57640800227102, 485.08938856715508, 485.19726789961146, 486.28061964967787, 487.44132044962618, 489.85157139806563, 490.02901204627454, 490.45470509196548, 491.68983488290036, 491.98824174001527, 492.66211450838841, 492.77974719311499, 494.95658667972145, 495.31906212931051, 495.52328885273835, 496.05796763066962, 497.14355965932555, 497.46838850456413, 499.17132893888123, 500.02206768315983, 500.23427043650054, 500.34353481235109, 500.52033433664513, 500.92335376787599, 502.02949521056973, 502.68649436144614, 503.28349796192907, 504.86856908364985, 504.90502655537421, 504.97413681551143, 505.32787195655862, 507.37907186523574, 507.60656047332941, 508.31728552674099, 508.69068958331428, 509.08760569072854, 509.29700505848376, 510.02179075705067, 511.04619373732083, 511.98159282222275, 512.9180026696547, 513.11839729865846, 513.2404150662046, 513.53467016309935, 514.37079713114758, 514.60819390080974, 514.97237913591869, 516.79148654429321, 517.65072837122636, 517.79000124183972, 518.03876918603953, 520.20708457428645, 520.26274425177303, 521.56731198389218, 521.88509161946638, 521.97384149287927, 522.71462416720703, 523.43734501761662, 525.03311778249633, 525.41563664274008, 526.47285998516281, 526.80175314821054, 527.74502979708029, 528.00104996346545, 529.02899621419192, 530.20199217472646, 530.64958739592191, 532.04638278377763, 532.433171949035, 532.66559474878443, 535.53730749260569, 536.15864711588983, 537.89658690049157, 538.31383507175724, 539.41067831257783, 540.48011369575772, 541.99788883344445, 542.32670245730105, 543.5746655673347, 543.74343660967509, 544.29892562601424, 546.79371129186916, 546.85444990356348, 547.58304648858041, 547.94427137183686, 548.07353320319567, 548.9655790346402, 550.58987907832397, 550.7323945235371, 551.31272456097702, 553.26787697941495, 553.38065501613505, 553.98764482653598, 554.96921380484321, 555.88652223808947, 556.37285151736921, 556.69156306967989, 557.31838935059818, 559.57849987845475, 562.52012964962955, 563.20333884289391, 564.52090481973357, 565.51894114792708, 566.82726921987648, 567.3758733900296, 567.49473955281189, 567.91182201879053, 569.43823888393968, 571.01416652040939, 573.67297765550506, 573.7321407825151, 573.81267036249915, 577.33739587831201, 577.37026351037537, 577.6412924685086, 578.4735299676405, 579.71226803881405, 580.26754025691059, 580.40750364896689, 581.01693066747202, 581.34547405422472, 582.71056170663007, 582.78923861715703, 582.8421061945819, 585.86697706872792, 586.52185196468474, 587.03082532373526, 587.9618818484787, 588.44501965407756, 590.30662253544176, 591.6108218488057, 591.73052239720187, 591.94874332297616, 591.96884517341982, 592.83434477437402, 593.5087810324211, 593.62180313951092, 593.92476878108096, 594.39536381470123, 596.35461571665337, 597.38789839853177, 597.65165675650087, 597.94855892372289, 598.77963898123573, 599.27295892851942, 599.57590889510584, 601.31619285447766, 602.00294964967156, 602.29298887543314, 603.14804496839895, 603.32104263030226, 603.49053672330456, 603.72901139935959, 604.05351438538423, 604.21622418567074, 604.87228408708881, 605.35227654098503, 606.08447167371105, 607.0197443687091, 607.16684578968375, 607.50168381363108, 608.48250289465227, 609.64854907078029, 609.84721281459849, 609.98177959500765, 610.54384283977652, 610.6927928625712, 611.83686066347627, 612.16240716568245, 612.25547001186908, 612.73272133271712, 613.06888256641264, 614.38679914995043, 615.91107744047724, 617.83986486317974, 619.18987385373805, 619.70638794120271, 620.68553530066788, 620.86632615109704, 621.55557198434417, 621.5876876928603, 623.10308337483059, 623.80344519224798, 624.01555330527322, 626.46082595068265, 626.86692901264257, 630.73025943339701, 631.67428022518038, 632.28801965496007, 632.83042739789141, 632.97431092381771, 634.36392154491989, 635.76118331848249, 636.02573575404676, 636.22258678926767, 636.7585124376476, 637.45097508646779, 638.21407254621977, 638.78867402619699, 639.34335002087494, 640.13907654816194, 640.86891327070828, 642.30583178182144, 643.07399110623066, 643.55162202420854, 643.7207202815473, 648.09274004760096, 648.50732860961512, 649.94041164483099, 649.98514023375003, 650.74276736897627, 651.03638772794022, 652.20422528482095, 652.84997175084982, 653.21088906541115, 653.71530342930896, 653.93933841262663, 655.52778652185032, 656.52445873446311, 658.23254720483112, 658.55760858686892, 659.02582743193773, 660.71992464421749, 661.9917003371512, 663.52627732261442, 663.81912124389498, 664.96825445125694, 669.32711492448072, 671.83261799998013, 672.00904713356601, 672.44114684759359, 674.69892397773788, 677.21290994211211, 680.23589176019584, 683.31500131341079, 683.49884976525868, 683.9806895688771, 687.19307329494688, 687.56834738417092, 688.68135379677881, 689.52103023547454, 689.66080394469429, 689.76483133947613, 690.19690265634517, 691.43442433941846, 695.26632592085082, 695.37533646403188, 697.513662382549, 697.69295135621041, 698.21510012656006, 698.71349607505601, 699.76473228179213, 700.62414561315597, 702.58899425833681, 702.61395787319782, 702.83934334234277, 702.92765041473228, 703.22590080141401, 704.39607296292616, 704.57886892393185, 706.02501470508241, 709.36906541265432, 710.16832983927122, 710.68115931154807, 712.49711446680772, 712.76417588752383, 712.80654063913721, 712.91780329941855, 713.13115620688473, 713.55687904342187, 716.42460450092574, 719.51816277721639, 719.64386004594871, 720.19896653377657, 720.55950315800033, 723.18176743179106, 723.21739436762664, 724.12770030667878, 724.87856572926194, 725.62571279139615, 727.40579461668369, 728.7842999590564, 730.45599715244703, 731.52712559835095, 731.7841520267425, 732.27314449865059, 732.87404804524772, 733.3190825639889, 734.7547122375488, 735.82191659154171, 736.30874579473209, 736.37604292353922, 737.79373167441065, 737.95433170976366, 742.02908033432175, 742.14268998663624, 742.27288164724746, 742.69250395752078, 744.56868320744684, 746.03516940140651, 746.21099677221935, 746.57207535943007, 747.11065599734945, 747.168861809124, 751.49514941414566, 751.80258899656178, 752.57038357883653, 753.39309121056704, 754.46611986304902, 755.4781276238765, 756.22328267863247, 757.79636219320878, 757.93012377701041, 759.23990117938331, 760.16860530433053, 761.17525312743987, 761.28495775879162, 764.29141677479311, 765.32318700803341, 766.65865802254746, 766.94176983066268, 767.05453890244939, 768.58594264059138, 769.82664117781758, 769.913327692194, 770.65169102277264, 770.96994029611346, 773.11687025682204, 774.04639766686216, 774.48001797054644, 776.04937668974117, 777.07599144247536, 777.39809784077852, 777.99871861024019, 778.1594514945823, 778.64833454203654, 780.10572942208319, 781.06266800065862, 781.55350517693012, 782.35712103381434, 783.00425825912203, 783.51752042072098, 784.73062988482081, 786.09528602288697, 786.41880572023535, 786.62268040503216, 787.07613763873564, 790.88866639382582, 791.38815370973532, 792.04394772011801, 793.02379236025331, 793.37615498765194, 795.29673141840192, 796.37409071607476, 797.48265473757658, 798.08109441736372, 798.18487974993741, 798.37853579762509, 798.63232651522674, 800.02189383367295, 800.48942954750748, 800.66942924596856, 802.18291938069456, 803.91503534671324, 804.19813191059336, 804.7577021700921, 806.40628954215185, 806.81858616032423, 807.21167538129737, 808.02339362551368, 810.40878363240438, 810.77335163729811, 813.55606178134894, 814.66537445934296, 814.73454823285135, 815.39735998016477, 816.27643824338793, 817.46886813222716, 817.70453958530254, 818.44099007701664, 818.57069691862114, 818.63177027964002, 818.7253701998211, 818.83618431549451, 818.90782021773089, 819.00677268747643, 820.68859642072334, 820.71500928348269, 822.22992603202238, 823.52276531007715, 825.02304979787971, 826.52148041074213, 826.89294541904815, 827.37256739466102, 828.886149649613, 829.91173943868102, 831.46377763339081, 832.62486245330388, 832.92921912358452, 835.37482298789007, 839.7309204323609, 841.0242154041398, 841.11863096821855, 843.95011040730571, 844.14211061293076, 845.38219367077465, 846.61575393772898, 847.06949555994049, 850.01711056604677, 855.65693323680432, 855.91359272621548, 858.27592619307029, 859.93124705748562, 859.98452663551734, 860.39032356364453, 861.26356992886258, 861.4521652615399, 861.52598144650165, 862.31249150229905, 863.03274855025722, 865.85761053368765, 867.01978654640345, 868.58849951982722, 868.98632859943064, 870.6983814348356, 872.35845836606154, 874.2816182661868, 874.60030892220914, 875.29460024537821, 876.41349457048352, 877.24093004845531, 877.70011472843862, 878.34139984154115, 878.62611516067864, 879.43878736189299, 879.76126163382014, 880.62448481564525, 881.24820856390545, 881.66259844116814, 882.1688155527022, 885.96810595630006, 886.53616530883539, 886.93502513761007, 887.15317484778643, 887.27003177406596, 888.4464523454352, 891.35344987203598, 892.19848313906141, 893.49908158122753, 893.67971310840983, 893.80105742568412, 893.83025641663301, 894.01371276165435, 895.49073986608698, 895.58765937535293, 896.09917435621458, 899.00959477515937, 899.57473152287457, 901.82899209530899, 902.11202407220844, 902.43522014642156, 903.03619317362222, 905.0397884981993, 905.31580982934884, 907.52525402976653, 907.88017632266485, 908.06545866559418, 908.59328974501477, 910.09933453051667, 910.68969078929854, 910.89633294917871, 912.14353956585535, 913.77603425086102, 914.05324360765451, 914.35621968412283, 916.70545863874008, 918.59966329788915, 919.33563582117847, 921.91695831341815, 922.43160149917776, 923.64893128243909, 924.55068634920769, 927.43990004353475, 935.41802959432937, 935.66451525513116, 936.30984414648412, 937.54765578190745, 938.1563991098426, 938.43933274623544, 940.00868290620849, 942.35071916308675, 944.10862029722273, 948.08245820640263, 950.53114919143661, 951.00598654162161, 951.63773475622691, 951.76357839563514, 952.54596443684443, 952.64602789648268, 952.85342377310246, 953.09624370967663, 953.85455778383403, 956.28858991556342, 956.50054602792386, 957.02757665364425, 959.1264288351698, 960.46425720451134, 961.37542764935142, 962.33491926679312, 962.4153546392879, 963.6283886716958, 965.72025060367605, 966.13089863139339, 966.19727962625427, 967.90295898327975, 968.10762684497433, 968.41851575705732, 970.44297113401171, 973.02920415670917, 973.93205901962881, 974.33283739840851, 974.54907205750078, 976.70842144209405, 977.79512201916452, 977.81684808091779, 978.81369061984378, 980.53717275598285, 981.44430694815344, 982.56811684126035, 984.3897085955432, 985.05894364200708, 986.63248807731168, 987.46852038792667, 987.56292087993097, 987.81342001226903, 989.89147332739037, 990.92551507153485, 992.47420153655503, 992.65235622808507, 993.32460012226829, 994.02096822898022, 994.82976468346226, 997.51400636947528, 999.20377597641675, 1000.1020530626407]),array([81.657073342856435, 83.130612878178681, 84.488320027693021, 85.427005398218427, 85.643615218612339, 87.344339592977235, 88.017415856699444, 88.147095850716923, 88.684799256004936, 89.11303988125502, 89.292499708741275, 89.865393532106594, 90.344723598806667, 90.766791286397648, 90.917277335329018, 91.4930974660207, 91.98915071283362, 96.858779609562944, 97.489708202027856, 97.845017973588256, 101.27320489563655, 101.73966912369792, 102.89800143208078, 103.13115207511605, 104.78919532854992, 106.1191979425397, 107.35619852554443, 108.00731063982056, 108.70675019556275, 109.28305654971601, 110.87354182819786, 112.12530410549925, 112.23015659015799, 113.38974497456765, 114.64175386014492, 115.56907999190068, 116.59874552952218, 117.1324798589056, 118.15760103020038, 119.21947655955033, 119.86873523165248, 121.62445674483831, 122.86190960996788, 123.66169609810321, 126.14056620764242, 126.70308809801014, 129.27498433406288, 133.89664155832307, 134.14523632605992, 135.28340103941392, 135.81846596636265, 137.56826271425442, 139.33596563638591, 140.32453316669282, 140.76607311638267, 141.35471952630317, 141.39876008061341, 142.09406104970523, 142.51153819467476, 142.7242927700224, 143.24715634290769, 144.31211769298761, 144.60473351022756, 145.0752511302432, 145.40684123776143, 146.29681622586273, 146.71721760092333, 147.37237633839942, 149.06047060724501, 149.24055162378127, 150.01724267917112, 150.620772980715, 151.64471812517712, 151.74989912546857, 152.75003646112015, 153.65873169649345, 154.50480303955771, 157.18432635537201, 157.81068182887989, 158.25085261707105, 159.48471331452362, 160.649003235506, 160.72924525702015, 160.84398665708622, 161.064232158973, 161.95142469639404, 162.5108411818255, 163.3171147763683, 169.62139442710208, 169.65183627169245, 170.56038537739059, 170.68068389156386, 173.14483654884162, 173.447816727939, 174.57004531295908, 175.31615321798586, 177.96120877972649, 180.32302398052775, 180.34772648039879, 180.92529787126057, 180.9918905401727, 183.06265777611983, 183.65819729263407, 185.81618601660048, 188.44051770520016, 189.65864519492266, 191.51333245445306, 196.53253486752527, 197.61670655282643, 197.92376630913012, 198.48830584673897, 199.17608015930648, 201.52764747718163, 202.22776736396153, 202.40858796131451, 204.76606374416136, 205.90327967408723, 207.55211749127216, 207.69982302855303, 208.81647605423834, 209.17089846202887, 209.21027953846837, 209.85498246854581, 210.98414279279885, 211.48710785425124, 211.56880545707241, 212.47844847273376, 212.83975763301322, 213.59724700420193, 214.25254829192676, 214.93173437507861, 217.00899450956587, 217.85278408755138, 218.01900823471141, 218.16456589104254, 221.73459329091204, 222.17147561676543, 223.9313742856543, 224.68761873308461, 226.43313865466604, 226.89587637108366, 228.7778196975695, 229.45300296334756, 229.74816974854377, 230.99680902867922, 231.04089112556679, 232.76640652703463, 233.4644448171789, 234.14822898904382, 235.2764680739418, 237.47837676980126, 238.07926521533111, 238.33268761555144, 239.13881592249137, 239.45412706990834, 239.75584013867709, 240.1991893539693, 241.6175832109048, 241.77380919365496, 241.94322680249047, 242.43528144640078, 244.91203073707266, 247.12449685684987, 247.42785064595793, 247.49044346249829, 247.59273035137946, 248.00199030850564, 249.93460088239365, 250.45367038208596, 252.38754430186799, 252.87787854283059, 254.2166692745644, 254.65008935889531, 255.0011325043406, 256.34991489675764, 256.54663400882527, 256.75858271511072, 257.42628014850982, 259.60258269948412, 260.70380964885913, 261.07837099692762, 261.51353224845445, 261.73052496843104, 262.98456003973945, 264.63447868264177, 264.99462533881842, 266.6315287108564, 267.0547632090898, 268.19317113717756, 268.40243147565621, 268.68890659583803, 268.89219850729961, 269.59314282069755, 270.9490296441557, 271.60570645052451, 272.28936589460631, 273.58374546055069, 274.5583907964089, 275.91067353879941, 276.37698046307111, 276.8751206052641, 278.64856427336082, 279.01350871844386, 279.33645470217635, 285.0647615856833, 286.45866364475933, 286.6365894114046, 287.41019708954155, 287.96426323503255, 289.14121837560583, 289.18904170710192, 290.60552130543539, 291.20501498642233, 293.78641516201515, 294.03029582112288, 296.20591852532743, 297.24892276871617, 298.31782462250277, 304.41566382667827, 304.78311656339838, 306.7589764063527, 309.02366675774988, 313.36998270610763, 313.52731126693686, 315.84364037943374, 315.96703515126194, 316.2660589177105, 317.5218790955214, 317.63751919444371, 318.19393749516644, 318.73236874025497, 319.78627856216428, 320.7523765581509, 320.79823047240126, 321.00121414339134, 321.09952020494688, 322.18266946211207, 322.92081179395382, 323.97420396009858, 324.51166075393616, 325.49495409108459, 326.15836105929452, 326.97042149511157, 328.492210354083, 329.32164001232746, 334.05621123624098, 335.25368357199415, 335.62081852556793, 336.12007017633471, 336.16565346923386, 336.45580207352378, 336.84621461440844, 336.86840912761318, 339.95778314633822, 340.00814622592566, 340.03213146642639, 341.3118680406082, 342.25995968668036, 344.82284442389329, 345.38444345367486, 346.69017307024711, 346.95883194078851, 348.46346117549973, 350.38228713582657, 351.08009016578745, 351.23480010707272, 354.49215179670989, 356.45447477653568, 357.73472726061675, 358.83717997940948, 361.82854077085659, 362.43361854428997, 364.82909712348948, 365.46133777573147, 365.52427165531219, 365.74270587282513, 369.48331687921211, 370.19851390025445, 370.36181746784081, 371.01388831541402, 372.95361584689658, 375.0495230922474, 375.79989906952227, 376.26497298348005, 376.41028069518967, 377.38329314563168, 379.21507061269682, 380.34306908368001, 381.0517559800137, 383.220742493415, 383.67704545330366, 385.26066576919754, 385.55989821880388, 386.44421464043126, 387.26681860433018, 387.68209837890544, 387.936445288036, 390.00234666136635, 390.05626078553519, 390.18938955602829, 391.47780477442063, 391.74781593899706, 392.21766497205925, 392.92681377588849, 393.4821639353446, 393.78353009297308, 394.51456715500763, 395.06626455313364, 395.82005664091974, 396.12963775965034, 397.51979503536398, 398.64484703433658, 398.91043200186044, 398.97894411539397, 400.50424114883037, 401.02824886542288, 401.12150229717031, 401.9653794801111, 402.11514656656868, 404.08438236217819, 404.56818489635833, 407.99748736900625, 408.04328174051182, 408.24601012604091, 408.73518801438115, 408.82068429452733, 409.2163899303132, 409.63989278831218, 409.6750442356273, 411.30066579962062, 411.61526887707072, 411.6542180929182, 411.92847267895951, 411.9846174957446, 413.76520981806232, 414.38608739972034, 414.8371070951913, 415.9980410158214, 416.80256158666759, 417.00835734355729, 417.92450467135404, 418.92749382879254, 419.06862628772393, 419.94581041732027, 420.99575070555403, 421.74363070384135, 424.08588668805965, 424.42228006000283, 424.72697398408826, 425.66778865400931, 428.28181249327889, 428.36501366349063, 428.68987075734537, 428.76482061716484, 429.16321828258953, 431.47710484714224, 431.92365392122076, 433.75559051046946, 434.33245751422362, 434.65444318536265, 437.47671250692269, 438.7840637319822, 442.74066112692822, 445.10647272358074, 445.4186896253151, 446.14318935612084, 447.29758030568445, 448.37516892847617, 449.04260416151908, 451.20707642696385, 452.62416718150138, 453.16884476525399, 453.99527731737464, 454.13383445073362, 454.22082574787021, 457.26935659919712, 457.47806558748022, 458.84491569517053, 459.09566938993919, 459.1336113039427, 460.5814683279205, 460.8254177952598, 462.8613409742195, 463.15478653464532, 463.22526406448475, 463.62167745234046, 463.98159876386904, 464.00503992380027, 464.10318824661505, 464.41791802235952, 465.14951082394509, 465.41566353369689, 467.22349214900152, 467.96881605652828, 468.88519546645819, 469.07256919456546, 470.2690150348098, 471.66313291472267, 471.74500475646249, 472.0970020748253, 473.09518079659074, 473.22842327834707, 474.53440078443987, 476.14942238934765, 476.47057379894125, 477.03012639720032, 478.70884519463323, 479.83049876780854, 479.91785615434895, 480.53194319252322, 481.07958552862027, 482.42690053592293, 482.54432334081622, 485.79534333941524, 486.04938797354373, 487.43657306096276, 488.28089725448319, 489.83171056475203, 490.43510551991284, 495.20691652426041, 496.32761980825586, 497.67801416627219, 498.0203449079616, 498.93021592482609, 501.74158608763287, 503.22279551007006, 503.46646131854538, 508.10649596148153, 508.30684664592036, 508.82323619211934, 509.91142908734668, 510.18788918696663, 511.19918629858682, 511.52636452032181, 513.67694402387679, 514.10614735268996, 514.67850035385823, 515.09018373756203, 515.4134760678844, 516.15112828888846, 516.3958155746252, 520.24206194908459, 520.70883709652423, 521.69608565599265, 521.78900364205026, 526.16744043587937, 527.84499141148967, 529.62086268628229, 535.20811620139693, 536.5706669011015, 536.6387487553103, 537.25972103710615, 537.47825511120936, 538.62366706361502, 538.8084403332158, 539.19961774736987, 540.28949442674832, 541.49162959293994, 542.7952218008395, 544.02259475897938, 544.67795409930966, 544.95446530960407, 545.61144731547347, 545.85554983217935, 546.30297427752555, 547.32495697611921, 548.71160523825529, 549.25576923266567, 552.20488558963302, 552.91516508141876, 553.40199044435485, 554.10534585375387, 556.7102166866473, 557.30140960515735, 559.23034573010875, 559.72739528841328, 560.32322268065138, 560.65393415640631, 561.30339393776239, 561.84548042007486, 562.74694276676723, 564.20364526176058, 564.54420949418466, 566.828739032719, 568.84432720858877, 570.99976855749674, 572.68845079667994, 573.97282638293598, 576.11188877827112, 577.16073827998832, 577.51933987886787, 577.85455925208089, 578.35721663859772, 579.04694381850311, 580.34869204977042, 583.22192905755912, 583.64541071012604, 583.93947104195445, 584.23537025163478, 587.38555119458726, 588.08831395763127, 588.21539688748578, 588.34466445084456, 589.24638683011619, 590.95038428602277, 592.80007622205449, 593.31550384402715, 594.502268720865, 596.39678472563708, 597.51954501597197, 598.58068750842358, 598.70514366770806, 601.85847864198263, 601.92776826199179, 603.83230888897992, 606.05516273748037, 607.31891261478938, 607.47400576818256, 610.76530840867599, 610.86139960761056, 610.9399947662464, 611.06670317456587, 611.16789499701042, 612.10546693562776, 613.35722856833422, 615.34336794007015, 615.44718451025415, 618.1415461723185, 618.54119869703618, 619.03675401518649, 620.59409759356924, 623.75317187038149, 625.38791356651473, 625.83700617208831, 626.53602778580932, 627.65444443908177, 627.96329348921802, 630.47490425088654, 631.01801861113245, 632.54963139107053, 633.55699694889495, 637.38540902878844, 638.23445996707551, 639.75570226897776, 640.34380052973256, 644.05934876598769, 644.800908880679, 645.14801995265987, 645.22032714652096, 645.86746441337505, 646.06326380162204, 647.11224528992125, 650.36261299664898, 650.66293569998902, 651.29643366839434, 651.37082796406082, 652.82473782469765, 655.6411807436117, 656.68073083494505, 660.02666588447346, 660.60700900394534, 661.63392410129279, 662.50172042796567, 663.03136070401843, 663.45079684586449, 666.94165150483241, 668.02914187964666, 668.30667227732988, 670.12397380875666, 671.28454046110414, 671.45048653880349, 671.49577960198997, 672.47422607335147, 673.44463259855718, 673.60311857272575, 673.90377836901587, 674.10567105193604, 676.00966375394535, 676.58472570817207, 678.45321493730626, 682.43573950627081, 684.32396680139607, 686.36736320177567, 686.50785583628044, 687.26034997103125, 687.80608836436261, 688.43687042100339, 688.65698925432707, 689.04322536395716, 690.57064426465729, 690.92441133541081, 692.41630730598251, 693.28416443365575, 693.63218870890796, 696.61510535826824, 697.56140893727274, 697.67405507954129, 699.82414852426575, 702.49094046634389, 704.43187434140702, 704.47348460181229, 705.30114053794387, 706.46524117294757, 707.48848925797199, 707.85281208458616, 708.45374256605407, 712.10827961740654, 712.34241714557697, 716.33692589574616, 716.73572742151873, 717.15487749766316, 718.39377708686322, 718.64706516616513, 719.37037769153608, 722.79739598011838, 722.96163452420149, 727.89119533473331, 728.81384671669298, 729.44428724375462, 729.87963347769221, 730.47664358862141, 737.83509513021238, 738.01394224697128, 740.2198455031978, 740.81405920440648, 743.75327584602576, 743.78973883775791, 744.59171241862634, 745.73478489646754, 745.78282182525447, 747.01390772695561, 747.60573391068908, 749.99727939620493, 750.16567877314128, 752.96306262038854, 752.98858822557793, 754.80561363041625, 757.18105948187201, 757.78637310419629, 758.72503636448778, 759.25030669628313, 760.77342281184769, 760.96061353132484, 761.38759583561398, 761.71384731196792, 763.02876850751159, 763.52478878056172, 764.11688979882172, 765.91343087537109, 766.79145849793781, 768.31803909417522, 768.43183004128537, 768.67529740780401, 769.41857843055993, 769.7921933292555, 771.05103166167726, 771.21799218649357, 773.44409726396066, 773.59666659322238, 777.42282306287973, 777.83798812654129, 777.91202054287862, 778.88506301703092, 780.52470088358075, 781.12240144535383, 781.21440568363141, 781.32771301488367, 781.47148835102087, 782.29884092510986, 782.88695219928979, 785.29935750526477, 786.44289258071694, 787.48189216866911, 787.68648221598141, 789.02552741128875, 789.33225207077464, 791.78704149426642, 793.01654546766804, 793.60078469986274, 793.83123798567271, 795.68898662909044, 798.68091069978152, 799.0098866177367, 799.23832116145923, 800.92976542759322, 801.45173664245135, 801.50762638940648, 801.67824948526402, 803.15799187747871, 803.61078188549061, 804.91208672509617, 805.05649418143378, 805.45976434418344, 806.09607498317041, 806.1996714486794, 808.08049160570931, 809.17568637369061, 809.60958359456231, 809.86651700623975, 810.81523874333914, 811.21780446787034, 811.35071483462525, 812.44331468620192, 812.48002474707596, 812.96844034183573, 813.3778440142537, 813.83483927329553, 814.66863440295083, 816.64703814410677, 817.69052528823192, 819.60464616033528, 820.11193325060549, 820.834319157143, 821.33579859519637, 823.72921808074727, 825.94950804336565, 827.05655985716817, 828.13158497833228, 828.83075829083259, 829.74311084464614, 830.07298255028752, 830.14191381714556, 830.53259255461978, 830.87647368276271, 831.09394827829703, 833.97005012817465, 834.49624421474255, 835.38321690707812, 836.44769838967466, 836.56315051226318, 836.71807321196218, 838.6124718784564, 838.64706946797548, 839.49715778178575, 840.98946426192174, 841.93038965184894, 844.97739871812712, 845.86195357467147, 846.10994895148735, 848.2119629840912, 849.16380772928403, 850.36327000014148, 850.43866058242907, 852.76017765452696, 853.31154373273921, 853.74455879186792, 854.21098016649705, 854.30024497123463, 854.5522889946385, 858.0001966088621, 859.17637407684094, 861.60501359252021, 863.59675081436205, 863.85296017506164, 864.52936212616623, 865.46039468704396, 865.91176978914291, 866.13602101282311, 866.86790868183846, 867.88493961864492, 868.03390436832535, 868.67623048032158, 870.45620721362366, 870.77312949863119, 870.95439826592826, 871.72124470843414, 871.9894329984578, 872.33146511333427, 872.9946632006895, 875.79649220180033, 876.63706746306298, 877.0089171837019, 877.19471390287026, 877.33630007342413, 877.44923404189171, 878.0157153359562, 880.46709706441391, 880.49526298076432, 881.81226533621441, 882.95143524461696, 883.27914013587917, 883.52834102869326, 883.59109264241704, 884.75781272515883, 885.46297784899457, 886.76103848012679, 887.5754511826334, 888.7863998929879, 889.32742258994631, 891.38021858419268, 894.7929248400377, 896.51841598452245, 897.39574355790069, 898.02996713505115, 900.28872898515726, 900.96238614286517, 902.77646022333874, 903.12575436019961, 903.27845080217787, 904.33979831666522, 904.91547611261285, 905.42931309122559, 909.03060131256348, 910.33134208730064, 910.74134686800426, 912.35807184580926, 914.6554522825146, 915.29921614467753, 916.431255867971, 916.65623014489142, 919.84686586162866, 921.41427649429249, 921.70912328717236, 923.35461369142649, 923.43591676509322, 923.88682360368807, 924.00885654737408, 924.20683431404098, 925.68667014998664, 928.26313450437067, 930.07725085438972, 932.01665213196452, 932.76265163742096, 933.99318204543385, 935.40947588572499, 935.93285137055034, 936.72970953168988, 937.20622039290436, 942.84458605097655, 943.55469824507873, 944.25482949801528, 945.47601898250855, 945.53731814982166, 945.55849130218542, 946.58458744675659, 946.73617909936524, 947.03309832699426, 947.7416559595797, 948.16834052708498, 948.51362923578722, 949.05962252334814, 950.88096409032653, 952.11542357890812, 953.23446577384027, 954.32687164553704, 954.88949443776949, 959.89114625512843, 960.17656764086553, 963.00274484360682, 963.89389811141302, 964.41282778146228, 964.69348205175629, 965.41120735357777, 965.78689716564452, 966.36993846362986, 967.0951061294993, 967.39375366934064, 967.89713505524651, 968.73780185679129, 968.86196810926344, 968.91948660188359, 972.27093776549111, 976.42923480616741, 977.5283427311382, 979.40999663281116, 980.77875211440164, 981.06577817934226, 981.93034450153868, 984.21761093055318, 984.24418233065103, 984.91900902374857, 985.07399745116516, 985.33255607219439, 986.04402914260265, 986.39308509066529, 986.56922108041636, 992.25344222117099, 993.49304855672415, 995.01470423419255, 995.2539648633724, 996.63188475942172, 997.35155402797852, 998.32474298862292, 998.83513465960334, 999.73457965759087, 999.89671510477092, 1001.3683921435222]),array([87.79497907925564, 89.230850395973391, 91.753907222893829, 93.159768462642276, 93.299915915861092, 93.434277059851198, 93.45765544120114, 93.871987010770425, 94.784170941269409, 95.171699751708672, 95.483980720026224, 95.870484835713853, 96.719870072337386, 98.599661513904564, 100.95920313370947, 103.08838300727078, 103.16837208780161, 103.24343458865397, 103.47715387058814, 103.996128777688, 104.29607830410461, 106.97604904822106, 107.33805118467946, 107.87672783975795, 108.46816268468473, 109.5050913402748, 111.76823735696672, 111.93554310804305, 112.64004944691763, 113.31601134574835, 113.42361860065546, 114.04640289886565, 114.64626503748819, 115.25573190281118, 115.65132953424688, 119.24313699529316, 119.31099517320646, 122.43267992059059, 125.15436643202503, 126.19899798705853, 127.62473920503649, 129.19961742282118, 129.47244672204877, 130.84317520699722, 131.3949697446964, 131.99121801598952, 132.01975529565715, 133.24636885252261, 133.47609328064721, 134.58994016920963, 136.21591183904962, 138.17222541782127, 138.22281987931572, 140.15306210520168, 141.99177621981693, 142.43777715719503, 142.84558145677767, 143.07151209886916, 144.18873706934863, 144.26454299342473, 144.75501429789219, 144.80221800992527, 145.76879677461929, 145.83723130398158, 147.39874614144225, 147.69638066944228, 149.52110367500106, 149.98010540221421, 150.0238109816801, 150.25569389601461, 151.06955714623567, 152.39020045440606, 153.27355311555465, 153.60422449152441, 155.35133503958858, 155.90878338030424, 156.09213256634692, 157.53859880392727, 157.72698564846965, 159.85512161370292, 159.88720320395902, 161.12310286136375, 161.20933570098873, 162.65366456946222, 162.82754380226487, 163.8697069401255, 165.23008164304707, 165.39122284012146, 165.81889747199622, 167.38373894321205, 168.38121002956041, 168.43443109751394, 169.67740086642229, 171.34393358622623, 171.75818907794161, 172.06505444166018, 172.1077269012587, 172.81945693052486, 173.2186151090846, 173.66592374359166, 174.47408505013345, 175.11134290400096, 175.42398981638351, 177.02508514742917, 177.2721572984243, 178.49967961347005, 179.16499152624067, 179.57149809795911, 179.91927462569475, 180.72069605204572, 183.49351685951405, 185.19661491131691, 185.41291142306758, 186.00070583790486, 187.49316167695463, 187.69475569772928, 187.88126003110304, 188.51644135239408, 191.68905436582679, 192.34146913702247, 192.88866178660547, 193.09361915374589, 195.25591223382139, 195.52589747847753, 196.54818252583027, 196.60279422113064, 196.81048175149567, 196.91565236383786, 197.05161341191652, 200.23213472949783, 200.35448359700359, 200.58885822529348, 201.54633828131981, 202.12479947512895, 202.51138971820961, 202.84718107531964, 204.36834030084029, 206.03523695363992, 206.56447425928116, 207.8476683144485, 210.35546507006347, 210.85633493293287, 211.14415902400233, 211.47464681744228, 211.94574536398764, 213.14168044150657, 214.33958330030512, 215.41768961668876, 216.05505581944132, 216.3749509803267, 217.03003907764855, 217.41835181243147, 218.19900342122725, 219.29405817409449, 219.6200455667877, 220.638439466357, 223.18620605941899, 223.59791304039928, 224.31653606980024, 226.60198830151987, 228.30304388261246, 228.74956131854753, 229.00176168118921, 229.8041267500308, 231.59100498552161, 232.38194568890395, 232.42294435130324, 233.22330482249319, 233.62932886908567, 235.10506117856252, 235.1870870155694, 235.52632269566362, 236.15136086882245, 236.17977729530378, 236.74215822614033, 237.32932025539682, 239.72628630417432, 240.56050664190866, 241.32867422409458, 242.44012192939442, 243.69066602603436, 243.73262738519998, 244.52379290709342, 244.58251461408284, 244.81458549759969, 245.31234722595929, 247.96175524740093, 250.37571532883064, 250.53758708673294, 250.87233864287802, 253.30779054568353, 253.80042543872503, 254.69844093739883, 255.83212085104145, 256.0799965145132, 256.88527072398762, 258.6055789660997, 258.6628665050531, 258.803887110706, 259.23507656326848, 259.98109408338638, 260.55984464901258, 260.80718941582734, 261.04501645902798, 261.25926204098596, 261.58614640990987, 261.89302913226697, 263.63998255982386, 264.40697100519924, 264.93852406976168, 265.0809705082624, 265.54286204352019, 267.38756054968638, 267.61954537190957, 270.88155062257169, 272.18270634979592, 272.71498258474054, 272.76552953613975, 272.78671632504796, 273.61719381571902, 275.21453610988578, 277.37443202954586, 280.39017371431004, 281.66914235542095, 284.06829102610686, 284.44276454941263, 285.09701016282139, 286.36962950462168, 287.21102658246059, 288.15530363949904, 290.40231171663817, 290.75528125490291, 291.47348345301134, 291.8014605917852, 292.64836169142609, 295.66283297535477, 296.0770466894258, 296.75118862709235, 297.22268994675045, 298.22926962743429, 298.46245351966758, 298.61213566765315, 300.17545563590335, 300.48779535076926, 302.15436888007798, 303.2835461723817, 304.43901261068993, 304.53820674058244, 309.66495036357384, 311.20130233627367, 312.87212086920914, 316.1768575134887, 318.79164698632246, 318.93349927091072, 319.83092814916546, 320.63388377318876, 320.86187527717402, 321.05723861614513, 324.3413046820549, 324.93121574709664, 325.411572554999, 328.23884229604852, 331.99649911172298, 332.89288622124013, 334.2992560565616, 334.57364034255227, 335.48869450909257, 335.73834435915057, 336.8334771587655, 336.90101636830315, 337.52327664253539, 338.62305213845389, 339.20789309823624, 340.31072698069164, 340.63842178244045, 341.14955946285994, 341.20199624806253, 341.34405418762913, 341.60343831207445, 342.80444956374555, 343.95958690054829, 344.60800389685619, 344.80810599363258, 345.6141490803829, 345.86149580745644, 346.33327057320219, 348.90478090531303, 350.79828987496001, 351.94032706004145, 352.20495886934094, 352.6030979369375, 353.74383760284138, 355.13154405846183, 355.86336969654997, 357.31138525665057, 358.06886145488738, 358.52548473931455, 358.56547349061174, 358.77471945933075, 359.23907347079518, 359.76073394796401, 360.45018995921833, 363.97836518459201, 365.20333959737133, 365.28859891771612, 368.8331176875007, 371.77083702859989, 372.62441015235106, 373.95005467392576, 374.1693250814576, 375.89046798382793, 377.80749231559099, 378.83542212329752, 379.82524967006185, 379.8697342936394, 381.87042387865597, 387.76941678995473, 388.95071963564783, 391.43979595092389, 392.01749306028756, 396.89128943837858, 397.12144872596764, 398.58797519194911, 398.76467527414417, 399.28368401697423, 401.40511068035255, 401.67820333031239, 401.81060246105426, 402.09098048243789, 402.91268381000663, 402.98156290531034, 403.24664112545668, 403.50139732269889, 404.19270983636801, 404.4629649072026, 405.32555986744057, 405.99592408797798, 408.01812454969189, 408.06560101935844, 408.38458053982941, 409.72685905357571, 410.69097055262188, 411.38239425995926, 413.16721276790054, 413.57061864075996, 414.88257273985312, 416.41595637232132, 416.44098860467153, 416.99047241965508, 417.52742519090992, 417.61781388890267, 418.87933533015456, 419.02512313687208, 419.48442885972361, 421.45138346407509, 422.13195349713106, 422.4156604622051, 424.47423222237927, 424.58418024099512, 425.13013540084199, 425.6857102134822, 426.10296709741579, 428.27060742578408, 429.01305593647157, 429.05505013242708, 429.89354900030571, 434.89021277638108, 435.34973425706966, 436.30326806722911, 436.39753524388351, 436.57010571429561, 437.44342444479742, 437.57854564060216, 438.02705333739289, 438.51218215940474, 438.65775240859045, 438.80507226350801, 439.8628027050529, 440.87737169295514, 442.95423335596263, 444.71684356407343, 447.89106141462878, 447.96886726269167, 448.46797902074707, 449.83212020385338, 450.10796718827936, 450.87685591124796, 452.29427083141445, 453.66649186342016, 454.03013597652875, 454.45315577702718, 455.886632531131, 456.17487998537723, 456.3133265571845, 457.2745604223914, 458.44592839276874, 458.62481408753678, 459.23627894872681, 459.27186385803816, 460.29316920798567, 460.93426954861786, 461.19848667927113, 461.43738567176189, 463.40598009242535, 464.18466879249377, 466.57613513202421, 468.88168827075128, 469.07950060577605, 469.76493869262293, 470.63482548727438, 471.64992543181165, 473.69309684396859, 473.80749706054263, 473.91721979204101, 476.40019411002288, 477.86323764980528, 478.3906605095483, 478.75994160315986, 479.36297454584565, 479.65194664262373, 480.0422012520707, 482.87164727452955, 484.152123779313, 485.22748137059108, 486.43598654777367, 487.9819566831867, 490.76475379711917, 491.0421204946814, 493.02089487286599, 493.75042395314978, 494.4816277462424, 495.01213530986303, 495.10604581965714, 496.26672075256965, 498.17388694631103, 498.72981708513231, 499.11304822872648, 499.83098206043547, 500.38048552507706, 502.27346662739529, 503.90511124224304, 504.23928061658677, 506.04360031832977, 506.12719467331272, 506.23174074538792, 506.88488609037097, 507.16262653574478, 507.62651750122797, 509.69988685289519, 511.97794865403131, 513.2546484764016, 514.47455445892001, 515.40965788085543, 517.21615593766273, 518.80619513916668, 519.31264742691803, 519.6916011843, 519.8850337345491, 520.20216702689095, 522.44921160219269, 524.20045247182816, 524.41735554271975, 524.75056736412796, 525.75279679166806, 526.03635776643432, 526.86021405008523, 528.15032097411313, 529.17717138498688, 529.78870210558136, 530.26194601414272, 530.96380569899452, 531.64873445330954, 532.49873099144713, 533.90816724149647, 534.42656549328228, 535.23379089548462, 536.8833476774472, 538.84852318045694, 539.81666457654978, 540.23353100922486, 540.29038074985783, 541.40520018854227, 543.07118771325099, 543.21671233264146, 544.79326047288191, 545.16446899197138, 545.86477806268215, 548.34210050150841, 549.52200798451815, 550.05824949094006, 550.24384731698001, 551.77453189470225, 551.97891627043498, 552.40873728274698, 552.57170899273115, 553.04959294885305, 553.63843342526093, 555.97259669126674, 556.95485054881476, 557.27363403728282, 558.25247180939834, 559.59616100013989, 560.59136810719201, 561.28972285237535, 563.47699964294964, 563.54736657519379, 565.52926678622316, 566.31530197196923, 567.72003328782887, 567.97853069150869, 568.6032957659645, 570.10900602049833, 570.20867774024691, 572.22869889337198, 572.3583299864506, 573.64210413358046, 574.57848273441584, 575.56850361369163, 582.52847206421848, 583.61857243000384, 583.93361572901119, 586.84557651478133, 586.88838665126252, 587.26919957713267, 587.54326755452246, 588.88504719275522, 592.32603406755209, 594.06973254475122, 595.07120664350782, 595.36534485660388, 596.44758526437067, 596.60319379275154, 597.48368561512177, 598.04798840349315, 598.5158310800324, 599.31673425784425, 602.63300669599289, 602.89309544225625, 603.3865430167865, 603.72727116387239, 604.30429425777686, 604.50910553881693, 605.96956982524318, 606.06657053627669, 607.61851266317251, 607.98686060263958, 608.2166393972899, 608.28558082295274, 608.88123365343904, 609.71340480120091, 609.84318497423476, 613.20977023564421, 613.49441013318244, 613.89475779604425, 614.67206844124485, 615.2793492954479, 616.51364895325537, 617.02396961544969, 617.82547731918601, 617.9717626286257, 619.64569096389562, 620.24642922696535, 622.5509689600251, 625.42423218620718, 625.65346157567831, 628.6124000603038, 630.94970073918296, 631.07691819924639, 631.21699813896203, 631.99877473006802, 633.53565124029444, 634.82742880105491, 634.86125852794987, 635.04075661617389, 635.35575476166161, 635.84267772847772, 636.07773212144252, 636.28066762949572, 636.45025096571919, 637.06741819122556, 638.88733146578011, 640.82439815781061, 641.91905484503059, 644.70989486891187, 646.48644292421523, 646.79485911249242, 649.08817467494237, 649.11484695030754, 650.23485922506416, 650.79289277031864, 652.54747036409071, 653.51124353376144, 655.66304434576909, 655.9188103350283, 657.78464615202552, 658.07776619700803, 658.95711283493563, 660.02186062749263, 661.55793470947094, 662.44258652766064, 663.06587420585265, 664.24376467588274, 664.45648823549413, 664.76217719981412, 669.56886629527958, 670.75327052547868, 671.30667021476506, 672.22266370411603, 672.3561418966749, 676.50241592580107, 676.62627612759809, 676.7764010445801, 677.92588109034659, 678.56226561803851, 679.87251255541548, 681.51432612772385, 683.08736679029369, 683.1191620887148, 684.26527882625453, 684.62773419618406, 685.14037328427139, 685.75814370354681, 686.17673407096731, 687.4714133023092, 690.62298007683762, 692.75041544475584, 693.56731923833809, 693.8871461913759, 695.72011077513616, 700.13433057016823, 700.90729709607717, 701.03056983510987, 701.7720304411705, 703.37285877249496, 703.6835941206632, 704.58327728413906, 705.19781618447439, 705.41704076742792, 706.31879165884345, 707.21813180694642, 707.62380890031739, 707.92535501866632, 708.68357828495061, 711.51970409236901, 711.82470240190241, 713.07757355460978, 713.4623563936093, 713.54313302390813, 714.18977795732405, 716.32540641602964, 718.95247299239111, 719.6315436101097, 719.75732130051892, 721.40121844046394, 721.52957482191277, 722.34164751474805, 724.8428508784292, 726.42667614190736, 726.5043498032486, 727.02186933905352, 727.58456327356942, 727.9605985708198, 728.52974923058139, 728.56067258260111, 728.69746063353159, 728.99126794942697, 729.99669060559984, 730.83095982246107, 731.12943877220846, 731.66154355976346, 734.36272429714143, 735.54153938107663, 737.54911663976031, 739.12479837734315, 739.37245943895982, 741.30674188066473, 741.77974249118358, 742.90814823115329, 743.75001028017573, 744.51433589789065, 745.99817487220866, 746.34587080389872, 746.50241909293368, 747.88737301292156, 749.59753326108898, 751.32820974549065, 751.42571141226244, 752.36149982338554, 752.64581047209754, 753.32363973219788, 755.03782135175913, 755.34167814387331, 755.36623723954551, 756.07071278509841, 756.78114164609246, 757.23056612064397, 758.87137205456418, 758.89210299551632, 759.03384573453332, 759.78652095728637, 760.72585742195827, 763.9815704723876, 764.15296676844252, 764.37010234643617, 767.04212093519573, 767.88595900511984, 768.20944245848477, 770.39135734172942, 771.42753024817443, 771.71216892603741, 773.77318268651209, 773.897904802467, 774.60384376636102, 776.1267437419009, 777.70299082805661, 778.25939781104285, 779.1427418117305, 781.14850136962434, 783.17877104081867, 784.4847965590601, 784.63079526672436, 784.69701346005718, 787.05998502940042, 788.68007254276017, 788.80914245794611, 790.00821793501871, 791.74133731826282, 795.29630595750859, 795.9657229072568, 795.99427132796257, 796.14053975682793, 797.97020035562593, 799.50742104065762, 800.36126658031799, 800.46030484446169, 801.29955625127729, 804.03009096574999, 804.43366061503741, 805.15172080353852, 806.31517478187061, 807.88473977057697, 807.90566298245051, 808.00258520841794, 809.36862681045568, 810.06797309720264, 810.88533827988317, 812.95332688233589, 813.45604262829193, 815.42648639197967, 816.7774541962782, 819.05802204505119, 819.4802522103804, 820.7546360211204, 822.80667686470133, 824.9882305981713, 825.06963796081538, 825.58605264134394, 825.87242427026047, 826.39955905142779, 826.94966116429237, 827.57910790193034, 828.84681402851606, 829.28351207095795, 830.30743454445133, 830.76321944118877, 830.92808531314211, 830.98530041891183, 831.36879863705792, 832.15845368761291, 833.10933169994655, 833.44594863973884, 835.70012977991269, 838.45584211989478, 839.20408172491216, 839.63510327098902, 841.10786537704939, 841.24307539729477, 842.18333159430722, 842.44297206056706, 843.5851120123981, 845.47462071287021, 846.091385383138, 848.74801433887296, 849.79368435933623, 850.31843584465469, 850.60822446241752, 850.80199142159586, 851.13577136372146, 851.67195293626082, 852.57727138486621, 853.10014936901496, 855.65225130823421, 856.102741884431, 856.67224739017786, 857.67627301856555, 857.77451839849641, 858.11138417459915, 858.44595607126882, 858.89454733656248, 859.48275559639808, 859.84540359867879, 860.39788918331453, 860.51623085696917, 861.27894201960225, 862.86598278165434, 863.57060107904181, 863.79924085597281, 864.28748362611987, 865.87244797641233, 867.26269926281532, 867.85900905783717, 867.9115114429303, 872.40595698400955, 874.16945725734354, 877.06713541605257, 877.77786980943699, 879.02442781325635, 879.79672849123779, 884.27758427696301, 886.26067564548907, 886.70072808684824, 887.28010380010176, 887.88707718234309, 888.3942049424046, 888.70000246865925, 889.65834719900738, 890.3741129700004, 891.93475877594892, 892.42488281536976, 893.13344040743777, 894.66535962501462, 895.68851301072709, 895.85146754132552, 896.16489019946312, 902.56508765726312, 902.72596961941861, 903.81654050105158, 904.13099426857718, 905.52450283510075, 905.75001947781652, 906.30544080629534, 906.73246918261282, 907.32268692005925, 908.34532488224011, 910.70197528415747, 910.92171374600798, 911.1930016117193, 911.62220462912512, 913.55879590466088, 913.8096164348641, 914.13068867976767, 914.72476041603886, 915.38576649453216, 915.72621685556294, 917.01244374166117, 918.08906784766702, 919.34598020577164, 919.62925234047395, 921.12808353067828, 921.3545872820024, 921.44238907076931, 921.94231294266069, 925.23594857046476, 925.96771539812482, 927.53098096340284, 928.21491284371712, 932.45327031030729, 932.93371881089217, 933.5375443880281, 934.69757178491272, 935.36404353311434, 935.87422909209045, 936.96838707762413, 937.35564061393518, 940.52268287595871, 942.72716837687074, 943.33639736947907, 946.80147135208881, 948.11967917728305, 948.1427172148326, 948.52406754652145, 951.78079854104465, 957.65464430256998, 959.94184364153125, 961.73276556736835, 963.7327171728333, 964.45083836878939, 964.76648905081129, 969.26356202413808, 969.50924717047985, 970.87096265292928, 971.95989052769733, 976.16271337799117, 976.54201976026286, 976.65014362413092, 976.93702717673648, 977.53312235314752, 980.14438245828796, 981.3876197941571, 983.29022658913777, 983.4498652604974, 984.38427764006553, 984.43235622964301, 987.05574431339676, 987.16034022225426, 988.33485973711242, 988.44554509041063, 990.93667363937971, 991.3711146030389, 991.96525468305811, 993.39722642363313, 993.94917019037678, 995.64481534386471, 996.46735949118624, 996.51990308901532, 998.28745499814272, 998.36926847174891, 998.41027063756712, 999.37294458551173, 1001.3441668131425]),array([62.271590329849722, 63.302889592633655, 64.662974849166943, 65.694027525309977, 66.186550236342384, 66.52451068151575, 66.586683125379153, 66.902424837091132, 68.107148941860942, 69.220326231426213, 70.240284762986136, 70.288641656390524, 70.42823872160163, 70.585321221254588, 70.678451181923108, 71.065772763784125, 71.147582379339951, 71.90932136968091, 72.630669988500529, 72.96873910897601, 74.151998211629021, 74.281742158001663, 75.234914640323325, 75.808549293347397, 78.204243580270457, 78.537816730847254, 79.192555800272302, 79.962371758301146, 80.519927631612006, 81.356259592189545, 81.68604462741277, 82.038375187492719, 82.964625302191081, 83.239184367333138, 83.311732695855468, 83.765635383617408, 84.084489545761159, 85.192151835809454, 86.375323062738374, 87.032133694648991, 87.334486559030523, 87.722710343730824, 87.984871028522022, 89.735529787775789, 90.367463129693022, 94.049150110579106, 96.36509615587002, 97.213261639304577, 97.249914463551178, 97.806380661323686, 98.333355071465903, 99.705218834212133, 102.1106966412341, 103.58723895696185, 105.2337642431029, 106.02447427552008, 106.34691558293717, 106.70592467957404, 107.00982875108251, 109.56264128719583, 109.79990663466573, 111.20839475339007, 111.60475169930363, 112.1253190127662, 112.61602679577462, 113.05892417596482, 113.50829321796897, 114.834471073822, 115.70628203888263, 115.88484703701317, 117.3663234755314, 117.40230641607997, 117.89975432526658, 118.23355718629641, 120.2545432663796, 121.85835603849925, 122.15981779704714, 125.04866032721343, 125.17326053729748, 125.5856205316842, 126.17022699233901, 126.62170855143387, 128.55471754711897, 130.55265682238363, 132.16539791477518, 133.45804376161462, 133.92417988902676, 133.9852355238944, 135.92380187074144, 135.94926000164807, 137.74165896985446, 138.01885122345371, 138.22143833643628, 139.62396978900222, 139.67371796267139, 141.59670555200205, 142.43651479538653, 143.24652415501976, 145.45037055294884, 147.76678630122734, 148.02473083731869, 148.51502090361555, 149.38445321796763, 151.11480623236591, 153.14745730151117, 154.2208135540468, 155.14008970493731, 156.81887782746068, 157.12430001129681, 158.8030491836698, 159.51641574783125, 160.20138850719539, 160.50719772580302, 164.99261526309041, 165.48970233550031, 166.13330478587375, 167.94297272443086, 168.00933695933708, 169.06017279637109, 170.15629443094363, 170.28409232268851, 172.26899109971362, 172.68329069828391, 172.82421327281295, 173.60874801178622, 174.35740532617524, 174.65353656699989, 175.68599812537659, 176.16501926265576, 177.38073265939144, 178.11393603617699, 179.81858525536555, 182.44538349319831, 183.37021093262129, 184.98143212441158, 185.03612118716634, 186.64661287494425, 187.63906071937484, 188.36734527195651, 190.22269610316141, 190.87007592488499, 192.70736310064672, 192.77652122848883, 193.18113658987494, 193.53049434166022, 193.84656360716892, 195.23310409615684, 196.09856668866141, 199.27352114702077, 200.71873990059422, 201.87686541914491, 203.77063512883493, 203.9800134425908, 204.27709324263569, 206.38055553066741, 206.74916075775133, 207.61778140731727, 208.17629030156155, 208.53236537334851, 209.29279515045792, 212.4762317329305, 212.79317506548469, 213.76065226735659, 215.78873192476274, 216.33517403821367, 219.23988328398559, 219.42496649343892, 219.60195208741101, 222.62717581622431, 223.91830114089672, 226.86332359182788, 227.3477985889684, 227.62491193329038, 228.03985267103562, 228.67746147697497, 229.06901663047174, 232.48091945076564, 233.44568103677017, 233.57175087767368, 234.2638276589141, 235.62194179541038, 236.06318226763639, 237.53579524781767, 237.89116649521216, 238.09935205684576, 238.28044938591393, 240.25504499546952, 241.23840544209571, 241.53680181646374, 243.56209701153807, 243.79954823419399, 243.97538950417726, 244.41406975153822, 245.56035884888865, 245.91816474781004, 246.14109668445337, 247.57218510595857, 248.15674356825949, 249.94534099996756, 251.35687549693853, 252.10246423428211, 252.29056740563922, 252.94327950069609, 253.61759740238793, 256.78141492991961, 257.61370584365631, 259.10050888307529, 261.07924734255971, 262.4648134599226, 263.19426265066727, 263.52373549307663, 263.67082279915104, 264.63268428581949, 266.24454531401801, 266.32100295232061, 267.09710753976054, 267.50904688204889, 268.05566857297731, 270.43559101894436, 271.76927336202169, 272.86919480951713, 273.44287899056604, 273.81245813417979, 277.95820506206519, 278.75619953826236, 280.31439818176352, 281.49358363237519, 281.74092999453444, 284.60243855770904, 286.01484303796934, 286.42154797079803, 286.77895929080569, 289.89788859430456, 290.01202948231918, 290.29945620757121, 291.51236372111765, 291.71407966659797, 293.24663164955047, 294.44686827401193, 295.03682536017635, 295.66242514430388, 298.68715360901007, 299.53883429098818, 299.76147538295515, 300.7940494046955, 302.39979005008809, 302.551450303455, 303.32017145703196, 303.61455906538123, 304.58011143809148, 304.9843873877586, 307.00247386688187, 308.12249815407972, 308.43037433071549, 310.75179086036616, 311.5522466676897, 311.59277894229058, 312.42965429901017, 313.64937089012295, 315.08609347134109, 315.25281480492066, 315.66906796600091, 316.13867030378645, 319.98082775508902, 320.82166934284709, 321.49532819873684, 322.72898280039067, 322.90944502060626, 324.26984035484497, 324.93281148137544, 325.47885931299993, 325.69021859371122, 326.64389610674186, 327.27854692953332, 327.95415105461547, 328.31853661151467, 329.28556064015169, 329.41525857605285, 330.27310825294842, 330.8667532247191, 330.91507810884627, 334.23041177659854, 334.6009357473713, 334.89796118999442, 336.24892749171647, 339.02373445808979, 339.22628969922937, 339.76180913327022, 340.61115027376735, 341.34059660423037, 341.92733802256316, 341.99184543738443, 342.81079849361402, 343.51892118966788, 344.44736402080889, 344.70959800383395, 345.81031760085284, 348.38640445262689, 350.32457024164489, 354.44600324036878, 354.51652151060711, 356.09565294110951, 358.07270625619225, 358.36953463026191, 358.42559093595946, 359.46001295549803, 366.81214907910152, 367.52276336623993, 369.46358015095939, 369.60112732605222, 370.22819604187151, 370.88718017489219, 374.14533520919565, 374.23036163454708, 374.84342115962039, 376.04949861995226, 378.06641476342571, 378.25937102610271, 379.61745279763636, 381.69756919368763, 382.17916311229328, 382.47322012426275, 385.4209116750269, 386.75895777188208, 387.25768317393602, 387.36648279329086, 387.44396075746687, 387.52337635759051, 388.00173737756222, 388.14305965244307, 389.84857950061456, 391.22783126948144, 391.71520244252235, 393.31886843278079, 393.65861158484836, 393.73446490924084, 394.07377188074196, 397.47193479302365, 402.0959080103782, 402.49001028029863, 402.7633860121116, 402.90499575746685, 403.38535723495244, 403.4762168110214, 403.70393317500299, 404.21567725805966, 405.00661542798093, 405.20220570877188, 405.24152571577133, 405.5907541046966, 405.9598462825623, 405.98726693340058, 407.71698709227485, 410.56839163828943, 410.89834492667381, 412.37400062079178, 412.54638304187057, 412.77006739276248, 413.01583517987052, 413.39433459178713, 413.77475526968175, 413.92072419031007, 415.79066963455227, 417.67104152664479, 418.14639546455118, 418.66590633260284, 420.32385750517307, 421.12748987344031, 421.19183433318011, 422.46137872699023, 424.5096872050018, 426.10817382613885, 431.72104814309995, 433.1723015321254, 433.43835014296286, 433.8803391117641, 435.65375149700861, 436.11507849099996, 436.40726192435483, 437.36461950016047, 440.2805507942814, 440.55444172063312, 440.70434683264449, 441.18336006804918, 442.7915831338774, 443.22474828780395, 444.46767773960084, 445.27622422766819, 446.09973826490051, 446.98464355075566, 447.17239462579477, 447.69277966405207, 448.07530243721885, 450.61488419803106, 451.03369703873204, 452.46705995436423, 452.71362000854822, 453.24762808366091, 453.60808764572948, 454.68549716910127, 454.75560676568006, 458.14189829640372, 458.18668606773269, 458.52508334566284, 458.76679178728875, 459.51643589135404, 459.82404160342912, 460.48964823818091, 461.59508297619448, 461.76908950332142, 462.31470380593373, 465.00594108156724, 465.83508821142721, 467.11157371658049, 469.0639142590507, 469.32341261107433, 469.40891626404675, 469.96693161842967, 470.49342413479667, 470.77292230664943, 470.8045327130265, 471.19978355114682, 471.34267857518802, 472.15038475477223, 473.33683613592666, 474.87640878073324, 475.31070554475377, 475.38492264571931, 475.58389274745497, 475.9451334202563, 478.63089522917545, 479.84619509804207, 480.60557080891118, 481.2813734976055, 482.56431483704307, 482.89889555795395, 484.12407772511028, 485.2770513604795, 485.93349232679225, 486.14447747239052, 487.59794185652459, 489.13723050408981, 489.82803125404456, 490.61113871925767, 490.81576797243895, 491.21790553518883, 491.7426252854537, 491.78780231844809, 493.33378534550428, 493.7722962495896, 494.29208337854271, 494.98987771898601, 495.8219130288839, 496.14774264283324, 496.57751451144247, 496.60413825512143, 497.41060060740818, 501.17886691746781, 501.77196107076367, 502.02627057172776, 503.47286135838306, 503.83111662087134, 505.01908296497538, 505.28674977003641, 507.31116942476285, 511.44181376123544, 512.33008997580453, 513.01832800205057, 514.02346628298562, 514.99948704848214, 515.37290182624099, 515.8272145072973, 517.0012124712382, 517.54193145244119, 518.22259259651776, 518.98915225877886, 519.32511635587684, 519.37890890964809, 520.10292598383592, 522.5489503913218, 524.64755967383576, 524.78858676965137, 525.68998367201573, 525.79455606698377, 525.97709567715685, 526.06069510267037, 527.64801238313453, 529.52141119797068, 530.09638467443369, 530.690289598292, 530.83805053882918, 534.85711354075863, 535.51315048753577, 535.56303982449685, 535.61071312983972, 536.30682083186025, 536.74465285519409, 537.35579223652201, 538.82092856137979, 539.05258653732085, 539.35383012598015, 539.55078628859269, 540.05041688830022, 540.21215762776887, 540.48533450653463, 541.00616753292059, 542.46925223169967, 543.14337617093133, 544.09957039644314, 544.74850070683715, 545.21600862009484, 546.23986379779103, 546.45478993033578, 546.76495386415684, 546.96456244185572, 548.55625243531938, 549.2083234122249, 549.33708393746781, 550.54841745689635, 551.83516000581051, 552.13114290645956, 552.51064038990376, 553.41947573104324, 554.24031970560702, 555.57688062298701, 556.86929482323865, 556.93603929490689, 559.0660509012132, 560.53705044718811, 560.797489446334, 561.67029091247434, 562.2014381461795, 562.97718571391567, 563.26837686613317, 563.81958467711979, 564.23638043309757, 565.27650086279675, 565.39162988130897, 566.79058498575466, 566.97193444119739, 567.06100236158511, 569.66799326592832, 572.20444969762912, 573.32055462286792, 574.15072560524561, 575.25781880186264, 575.85982392666529, 576.03891460417219, 577.92674418434751, 578.36548332634857, 578.67759211450903, 580.26268558923903, 582.16617814010942, 583.31872113787858, 584.52007377547625, 584.7901917682525, 588.20192270698556, 588.47039210325374, 588.55201502680279, 588.75576160850198, 589.5443992550961, 589.77501773581287, 589.7951748367268, 593.96806732915888, 594.20555881956159, 596.92129885947054, 598.67618237257898, 598.92966044012701, 599.00056034864269, 599.28382472532724, 600.64193413747853, 602.26836693127507, 603.43504868866933, 604.17246235425455, 604.52405703177828, 604.85610308380126, 605.55537194393787, 608.59699340549867, 609.53236315349341, 610.12896801484533, 610.21892898989893, 614.17933372779476, 614.94653999679088, 615.50682439747163, 615.84652569413413, 616.26246135458553, 618.99896303468199, 619.42829320364126, 620.61387385763339, 621.14937129579619, 622.21181638780376, 623.46281640972893, 625.31528100077105, 626.26408333529503, 626.39685391497812, 630.13635943678264, 631.76650426909134, 633.27729915153679, 633.64580131368098, 633.77300034872417, 636.31806937392298, 636.79568232490783, 638.02803830318805, 638.39678533777146, 638.70607223459479, 638.86221622792266, 640.6029255109803, 642.28315189155865, 644.0366908399908, 644.63162566556537, 646.32937402420089, 646.65729731987631, 646.9663661093407, 647.40835657027287, 647.43201773471242, 650.19373559547864, 650.94019227687602, 651.22790531625617, 652.49141682787661, 653.83776904081276, 655.57592311886799, 657.03454947678222, 657.13509972240604, 657.39636108752393, 658.72362585399162, 659.8459360338594, 660.85466927301695, 661.18952263287269, 661.22610771565269, 661.29091176858992, 661.98712870719169, 662.55310134840454, 662.6515254002129, 662.80506247744574, 666.38211098779095, 668.79694554688672, 669.08242294840886, 669.15712139251343, 669.3376221796118, 669.60497835144361, 673.53628443906962, 675.23061656280731, 675.65882564251785, 676.02514011484436, 677.58260086450423, 677.81644321350416, 678.69752043182177, 679.33192175981151, 680.4293416676087, 681.71933365376799, 681.76547754302362, 683.80918093176695, 684.45034734060107, 684.79762213186314, 684.91993389413199, 685.24131894723041, 686.57053312753374, 687.65316333435101, 690.56912125415067, 691.17843821274562, 692.84036694046472, 693.5379551501253, 695.12550845302974, 696.88070389532243, 696.9228662768403, 697.8916804453911, 698.13796696755116, 698.53998582503243, 701.50766980970388, 701.84119594888034, 702.27668738582099, 703.49930316822611, 703.78104708266062, 704.51273933436482, 705.92677280326802, 706.9223329340175, 707.11488019852425, 707.13726864533851, 711.25966304918052, 711.90838317491898, 712.01748681569859, 716.49704310800496, 717.99086991727938, 719.26692096006889, 719.77411867826584, 720.26397757045549, 720.42862159298386, 720.53142504932782, 722.37648053145267, 723.02150581088824, 726.05326155990531, 727.38105658615075, 727.48179174391521, 728.33630684221419, 729.93792711996923, 731.02159921493512, 731.50944300347157, 731.58015020659366, 733.08465059876437, 736.02360689472812, 736.9421175695378, 738.12476909188183, 738.17912116741729, 738.63588072628067, 739.0781577555075, 739.42343719019925, 740.40008668858047, 740.58098595477361, 741.3138393623791, 741.52115378294582, 743.11170346535903, 743.68768282243354, 743.8606009531959, 744.58186711227506, 745.02022015346199, 745.22806828842124, 746.62578362929776, 747.62691416784548, 747.98883689087359, 748.16681580287923, 748.29274665819628, 750.45409731760901, 750.55431804089892, 750.6439767576901, 751.4349846474131, 752.59216080556394, 755.75582246632291, 757.01698032396928, 757.89856887874555, 759.19930987409009, 759.41358111529053, 759.98037049129653, 760.72904595868988, 760.78255483385828, 760.87734083062878, 762.26800314826596, 764.01633016515359, 764.38306814228702, 764.69598298848325, 766.42649348889449, 767.0421150844893, 767.32577915779495, 768.88360339280371, 769.32340795720825, 769.5454611524367, 771.6408920715437, 771.80251872263887, 773.05935965850665, 773.545141575873, 773.97230197793226, 775.14141014271468, 776.0960875484418, 779.30061397900283, 779.33873180501439, 779.86954627899195, 780.16404330417777, 782.22412254566541, 782.30946871941057, 783.12064027604492, 783.28500669280925, 783.72399460406939, 784.4058404378759, 785.68092357017781, 786.12654977456555, 788.00734524603422, 788.3037861343671, 790.47003816837889, 790.90026697202711, 791.70952360737567, 791.76250943942091, 792.11490126553076, 792.51970500902189, 792.98552809056935, 793.41105171482832, 796.3086674654146, 796.57183712676044, 798.82582075623327, 798.91643330336763, 799.08718392522474, 799.60026972018386, 800.47039123107061, 801.495668438895, 801.59859212826609, 803.53531681099867, 804.71426109262813, 805.89764145976483, 806.82860882972443, 807.69956774245202, 807.74607159385482, 807.84436906180474, 808.00638416918787, 808.65003355147803, 809.16827350556639, 810.81692329696898, 812.16369180289257, 812.86514525701284, 813.8929187088745, 815.06146045915762, 815.11326080964625, 816.75796082589545, 817.2942127043292, 821.80482528606046, 822.51119452399121, 824.31450575651604, 824.61444834384668, 825.11053538491683, 826.65236300226252, 827.02695264019542, 829.29975815974035, 829.44216548771919, 830.87831467402339, 832.95379880291432, 835.73406135763139, 836.6197085676032, 838.77239810912522, 839.35777445861811, 841.31129893026775, 844.32048786496489, 845.0717859645124, 846.04353244813478, 847.8747561880524, 848.1830687030257, 849.13504245587626, 849.30142768350674, 849.69495703324696, 852.37269681262615, 852.47596390666979, 855.27096052797765, 855.37134838421287, 855.68733560636315, 855.72685560723653, 857.15671708159982, 857.38627537882326, 858.206437635459, 861.00887585556495, 861.26907259803659, 861.30669679275877, 861.61466454899028, 863.05063686271887, 863.32042225660859, 863.42552070065494, 864.41622613784727, 865.20413482987351, 866.55544730672079, 867.1334439527476, 871.65676411167772, 872.37418685977673, 873.42431956500286, 873.59785756110341, 874.83424875422656, 875.61730542236455, 876.26160955432374, 877.608392246118, 887.95123113645354, 888.69413463667331, 891.16805109558186, 891.40589088167769, 893.34255552284321, 893.5323746411234, 894.31636104649283, 894.35995842370335, 895.53093948861749, 898.67769399319025, 901.36479098704876, 901.80379148989948, 901.88806914134182, 904.43584483149948, 906.30024177985774, 906.72855767697195, 908.64913056025307, 909.02547411102876, 912.20089267695221, 922.59200048816956, 923.45339455300166, 926.79381233196318, 926.9077939963114, 927.39693879664287, 927.4786803988336, 929.56298774709069, 930.85148709681675, 931.01792137244263, 931.82522692653504, 931.95334324480268, 934.55221370578363, 935.42560386279649, 936.29610150497581, 936.32913376525585, 936.79258271410674, 937.09228570799723, 937.66578161768791, 938.15773297590613, 938.31220613177504, 945.08466012862266, 948.49702739799909, 948.57351957036053, 949.86104665011203, 950.26698077758522, 950.45693702740004, 951.53969096624553, 953.30531003063527, 953.90725462869489, 955.16377895324536, 957.42381535499044, 957.5963979828083, 958.06618184152592, 958.7803303131401, 960.93250602119167, 961.19142507232402, 962.59422562966938, 963.40579878319704, 963.52298419034196, 963.54672554809088, 963.75690463031242, 964.27907982626164, 965.15689986241716, 965.18199345117557, 966.4536551362213, 968.36345219388727, 968.88678247951134, 969.82806380644001, 970.82193630635152, 973.26823789199602, 973.77378653699384, 974.07106292942899, 976.48333602850823, 980.77937696594745, 981.01582985359084, 981.27262414603376, 981.47260093782461, 982.56378750931094, 982.75929957162305, 983.47540379158306, 985.35300923543355, 985.81175367148808, 987.66477854869777, 990.65546584597871, 991.07707920877192, 991.3309783035769, 995.55910671589072, 996.32411247989808, 998.19546172382684, 1000.6710062141819]),array([81.530853634540549, 81.919020446362467, 83.700025091796306, 84.938685931857236, 85.629209429158919, 87.666707595951465, 88.917264818376538, 89.133575282685285, 89.198415623556855, 89.638348932261366, 90.734809762122168, 91.069708058015166, 91.355840850994795, 92.917633699496321, 94.971989413828013, 95.159857388367342, 95.351185885565229, 96.678507041593306, 97.773001163871285, 97.881627755940656, 98.13405740007957, 99.499369914119029, 100.0710695203132, 100.65149830665719, 101.41357035132978, 101.89615937451234, 102.46330643366916, 104.03978603061229, 104.79130293632254, 106.27071853811321, 111.53888085448105, 112.27958510402858, 113.59792680297268, 113.63555280560654, 114.82646621301677, 118.64160779893173, 119.87538379806091, 120.34131489798285, 120.60102169406399, 121.81991406865686, 122.21744139060925, 122.93629494137018, 123.26714094357551, 124.41274201104727, 125.24500894892097, 125.72906990551624, 128.3097935201256, 129.86978488954358, 132.65089627166475, 132.85973224549295, 132.95065294069352, 133.19076611861917, 133.52158486592737, 136.65009566330232, 138.40863348935756, 140.42973538279301, 141.80189686791044, 141.93778197471423, 143.01652292775776, 143.27517302314101, 143.69488869768929, 145.20476535614796, 145.33356752396583, 145.78220491983771, 148.71073192719965, 149.07872178993068, 149.26243255839785, 150.01574245296854, 150.7339842924768, 152.69411930532428, 152.97562558638961, 154.96326110054471, 155.01707640713823, 155.51464752499825, 156.42395901252934, 157.19659217568505, 157.34190329452088, 157.38723781532755, 158.30546672400186, 158.5664477084853, 159.41034356736901, 159.75356576145069, 160.05835975958183, 164.25319894925084, 165.38791490055198, 166.40697385981488, 167.63937067706769, 169.8144415105653, 172.51416561097543, 172.74999674513259, 172.95379120270536, 173.01676505118724, 174.68173152076164, 175.36677763400391, 176.4942907385219, 182.34946905794382, 182.48727626334053, 182.52699209720933, 184.5070411827196, 184.97495059180335, 185.3650789737396, 186.43890925516797, 186.68507029119337, 187.82107426732722, 188.43023131325091, 188.47272490162274, 189.14249640049914, 191.05981930269826, 191.20486870671141, 192.2937023657224, 192.33321699763226, 192.81589336850985, 193.56711505101609, 194.78751305663235, 198.02679001712758, 199.02167426507506, 200.20170435767142, 200.3674251233067, 202.18018472394891, 202.45954754010353, 202.63065915715887, 204.39121896815655, 204.99294497743057, 205.05205207597984, 207.45823733742932, 207.87866332743619, 208.05283812914814, 208.33047921805274, 209.09397748757456, 209.95522950995721, 210.55162512952791, 211.27118620293763, 212.65056612058027, 212.7460931099653, 212.76710595557225, 220.12868365130242, 228.02830579851735, 228.95485388682101, 228.99568399918903, 230.53634879677253, 231.21595924100689, 231.64227420874198, 233.26277326922769, 234.23615532812124, 237.71702717391295, 238.93558281977874, 239.31437927194798, 239.46572695531864, 240.00724901171387, 240.29041401688855, 241.48870828080481, 242.60881215601441, 242.93557612875193, 243.26820416020811, 243.69498708301967, 244.36084614467291, 245.25389376652188, 246.42789279800712, 246.90444587838925, 247.50702290672075, 247.72207457285634, 252.6385720315991, 254.13100106544405, 254.53459984202431, 255.35779418036077, 255.64210900903532, 255.71280815196025, 257.08742492674747, 258.74711782268747, 259.26830243954578, 263.79169772767585, 263.87899832727402, 263.91128106916847, 264.16144233831318, 265.08792661489639, 267.62737344663395, 268.64716642355864, 269.31149834612188, 272.88941644648855, 273.85659177978772, 274.19690232200651, 274.27134309432563, 274.89277928743314, 275.59613149661698, 276.13914065296302, 277.23656491593522, 282.27606247710054, 282.31210917208358, 284.01022153563844, 284.08927623984664, 287.0877037286686, 288.53774760604909, 288.83293670356119, 289.18711386707622, 290.09147046431752, 291.07066281623725, 291.96181352454721, 292.29186327163609, 295.30162193909376, 296.00483066356128, 297.2065669331248, 297.94998677436178, 300.79481102538523, 301.94796919560287, 302.283722551425, 302.6967879592537, 303.20753921514739, 306.37941756492177, 306.68425528938474, 308.03828194013818, 308.67831692659132, 308.89599423425523, 310.2938411690389, 313.85332408476131, 314.01664838323632, 314.17164947276711, 315.63829786541112, 318.38734207075947, 319.4090462071656, 320.59520309693119, 322.15467349637561, 322.20448701796732, 324.02575203609177, 326.37864577768835, 327.29136990463991, 327.33458752700966, 330.32583947890396, 331.0375959764815, 331.34242241230066, 333.57083964517682, 333.60286313814265, 335.47140267802024, 336.54085491387167, 337.11228012804366, 337.30996581314832, 337.41385613348336, 339.41686021059201, 339.88044112112703, 340.35328501129925, 341.57921975412847, 342.57190090501882, 342.96884896711248, 348.60277058619124, 348.86281421442828, 349.561607776242, 350.22177397035887, 350.54658102022159, 352.33008862846469, 353.30445800932137, 359.38649927125255, 359.49451194361313, 361.66179431261878, 363.85381126526886, 364.19305186240069, 365.62168835673407, 366.73338034474443, 367.50308191364849, 367.564703048757, 369.65618545958102, 369.91756488615675, 369.98937692122479, 370.48329733037525, 370.70401797837309, 371.3671906574387, 371.50895420284644, 372.29022773186836, 372.6583286261656, 373.28361136306791, 373.81874172162804, 374.08157509010135, 375.10271380015411, 375.21340667835506, 375.83287966507646, 376.03132268119475, 376.85311906469826, 377.20279516002586, 377.59613861283759, 378.51330259262812, 380.6103374833931, 381.20964061633276, 383.92067559864159, 383.97807092956515, 384.62284952204953, 385.31507802242447, 387.28415644109941, 387.36253340742246, 387.8707702037637, 388.64900525421154, 389.09175698504083, 390.16112321148734, 391.58257496917724, 392.13256044094487, 393.99426644723917, 394.19864293504349, 394.58322241936281, 395.58578341675542, 396.53998732133147, 396.79087659209148, 398.87162331655674, 401.90187002421322, 403.07003686992743, 404.43125433038483, 404.59009334192604, 404.87419323163903, 405.7125565441807, 413.91256712967891, 414.27053237234838, 417.67954723225211, 417.77840002004501, 418.83928329721698, 418.86934772893738, 419.18503734064888, 420.62391633396828, 420.7194942492323, 422.193733007368, 423.33557283189941, 423.67627551162343, 423.71334634449005, 423.85283741561506, 424.24335221561756, 425.80106693748451, 426.56960721536058, 430.20901251031449, 431.45811034973315, 432.7364583960225, 434.11838767476036, 436.45902328337991, 436.83155810892714, 437.89440502765484, 438.912432213535, 440.06660887031785, 440.52542865704868, 440.71536796728736, 441.26331959472498, 441.39670326574327, 442.41307364498863, 442.65454588818301, 442.99991168092436, 443.76818015656789, 444.40860870210111, 445.8049499846523, 445.9340693131989, 447.17315886696372, 447.81910089837987, 450.60073724657656, 450.72790217130989, 451.29337348504271, 451.60688426647641, 451.99646437481141, 453.49658463077242, 453.86960885891131, 453.993304191356, 455.29176175616487, 456.17608227248996, 456.52449704091782, 457.59170088075251, 459.90655242367711, 461.31657616432045, 463.55841240407051, 463.80171892000328, 464.93715421495676, 465.8713061629997, 466.11539958448571, 466.65417009365058, 467.61823045958556, 467.7749093042608, 467.93494689673673, 468.16556286417944, 468.66104569990426, 469.72393817083201, 470.4942104061351, 470.68920711918264, 471.12232670862079, 471.94820715483399, 474.04657543979806, 474.48073027547315, 479.12706951420313, 479.41053236293402, 480.14340569407153, 481.41972942814004, 482.1650472346148, 485.01567585926625, 486.22619969207364, 488.83893847520642, 489.03145390332173, 489.70355728144153, 489.83769364826816, 490.30278392053077, 491.05785224291515, 491.26906711984464, 492.65645710548699, 493.67143282835252, 494.23420913069765, 494.95619350413369, 497.4003391463836, 498.36503570705003, 499.45561512096396, 499.48951209967282, 501.12097450488665, 503.89213017514317, 504.3523955798338, 504.80836736515113, 506.37419526777938, 506.70016558929302, 506.76478785485017, 508.31511474602848, 509.07830257495931, 510.64466346329215, 512.25494409321243, 512.87046363391312, 513.02848814624133, 513.73168007832101, 517.71750782138861, 519.71100097215844, 523.7272205879508, 524.08257185826392, 525.10678025532468, 525.28075963717663, 526.53752526698747, 528.39972991588422, 529.98019308361245, 530.22623074127262, 531.8765664854775, 532.16399264814549, 532.34986476409233, 533.29871444260903, 533.51108377644414, 533.86499012954232, 534.66458848692105, 535.11906054846111, 535.62183257859022, 537.43477742914013, 537.86638064696388, 540.39951096304242, 541.35342268944703, 544.70620067304799, 545.79125502586021, 545.94511147010564, 547.40773408981306, 547.44177960307479, 552.54201880295659, 553.58378509374222, 553.71575711294872, 554.57092127430724, 556.11449132211078, 556.63638103380117, 557.18276521894427, 557.34727960153043, 558.00586607541027, 558.39573312354776, 559.99932239989914, 563.57543238217045, 565.22197610489764, 565.88264122011424, 566.99889550260298, 567.23255976404801, 569.15046149596628, 570.67336401029934, 572.64563888413852, 574.85783018101085, 576.0861010135784, 576.70384282414659, 576.86145610087283, 577.18684135362776, 577.80021128918293, 579.75899804851474, 580.33689779763336, 580.83462973297833, 581.16139718948727, 582.71220347902351, 583.51575086915921, 584.02640648850911, 584.10644688919535, 585.47560618725697, 585.52478684652351, 587.60957560183851, 588.69756882448337, 591.57718134077982, 591.61524480103265, 593.45060611519671, 593.50879726785297, 594.51237778921211, 594.65908885428541, 595.80320986223592, 597.28153827720473, 599.85492426580697, 600.69251653399078, 600.88764196396755, 601.12831666509874, 602.29977770780204, 603.7381340118842, 605.30294090689051, 605.34931251247622, 606.05443426621855, 606.2503660609151, 608.56690603587151, 610.23647306669284, 610.47352180565542, 610.59801030813094, 611.06415428637695, 613.69141919153071, 614.59835222085269, 614.93493755011468, 615.06799928048918, 615.30649854746139, 618.05702511234699, 618.47756469563706, 618.80060784940031, 619.29399737151721, 620.1552778557176, 620.39008700515762, 621.41768436770099, 622.12196350741578, 624.70410543110063, 626.45083754534335, 627.18354145806848, 627.91911710309296, 628.83663297915678, 629.0960393271564, 629.24007577586974, 630.82200138275277, 632.72436051676959, 633.51734539550193, 634.19984943996417, 634.52198602266583, 634.89226991092414, 635.1185011288602, 635.68334848160362, 636.02333692507409, 636.79807803657752, 638.48081537492874, 639.11214847711608, 639.95336163997513, 641.3375309567507, 642.45372455275481, 643.56469972923514, 644.31177330513776, 644.96935002718612, 645.82636163747861, 652.19408420491334, 652.79314047315074, 653.12867275732117, 653.22979328210249, 655.63121686624072, 656.59002506961542, 656.86501626202096, 658.42840156407715, 659.45129263664001, 660.02028430704968, 660.17234724215871, 660.20059647823825, 660.65622818218344, 660.83477730835, 661.15815328655879, 661.56831314411977, 663.88919667838979, 664.22280189911805, 668.6307538392291, 669.0156961408195, 669.04360836117212, 669.17030398332759, 669.47674936877058, 671.70273620917897, 672.53104566694014, 672.89957880804354, 672.96284181029489, 673.08276695655275, 673.27333420665786, 674.2125339019517, 674.71850529931214, 675.91359841756992, 676.12052587153983, 676.16486896765537, 676.56176112082358, 678.8800840385253, 679.52785032942552, 679.89435609184909, 680.40167233823047, 681.89716560532952, 684.96353205856337, 686.47537604450031, 686.58261872796811, 687.31902519098617, 688.73053742859759, 690.40485380784992, 692.38563366445101, 692.75562339614953, 692.94942822463565, 693.1603128418958, 693.62993630975222, 693.7009730113258, 693.79573412821685, 695.19512419591149, 695.64670354146824, 696.07810458542838, 696.97826053734138, 697.68691529630769, 698.79027290667534, 700.17316590832024, 700.73181399750729, 703.60235454952578, 704.12980871475395, 704.40483366397268, 705.86387907625704, 707.70239695071109, 708.63769678622657, 710.63741715338017, 710.89955066867196, 711.63037403693977, 711.65522219499917, 712.67335491710969, 714.99052861872792, 716.28284148244813, 716.42176605439681, 718.46250125576944, 718.54307702550705, 719.91590398386393, 720.0854142936272, 721.17251942546739, 721.70567804046902, 721.82693932318944, 722.64650937136832, 724.13903195917123, 724.44722714719239, 725.62143323627924, 725.76233091395511, 726.00727114618383, 727.2837633542938, 729.01820116286945, 730.1130298042217, 731.03572407001525, 732.18352109912678, 738.44454097134053, 739.00238696367001, 740.11428932808019, 740.6706653657036, 740.85639621209179, 741.695619013846, 742.03204906853205, 742.16649373010159, 743.58493522226092, 743.68228527330848, 744.06019040077126, 744.99124411525941, 745.79900205038552, 747.00839607421199, 747.84903347535635, 748.32645035181713, 748.40882667940309, 749.1712927583435, 751.27609389544739, 751.34040644819527, 752.10306703413255, 754.51373563452432, 757.39199547179931, 759.23208673203919, 759.85858603301824, 760.05552275140872, 763.85368644934101, 766.07916215348757, 766.7227198710799, 766.85426796088927, 767.36927450964322, 768.32787444053326, 769.32850804852194, 769.72568953621692, 769.93665336844094, 771.91407105090593, 772.60124360176758, 772.89534805298536, 773.12264462669532, 773.62224232018821, 774.33932546061851, 775.02433972272695, 775.95077934021742, 779.18358095065355, 780.75681727739607, 781.23980093493242, 788.33001476865286, 789.33626439384545, 790.55137132001539, 791.74283787536842, 791.81735499048534, 792.59291637839146, 792.68157918966233, 795.42888548054793, 796.46182037976371, 796.56329493533337, 797.55748075877318, 797.79753679100884, 798.72572412452837, 799.64472805054152, 801.06352428341597, 801.30010002462961, 801.45526304490556, 801.85851036075144, 802.48784161901847, 803.16022803327076, 805.23148398689409, 805.3361997518914, 806.68578632408105, 809.7386372216713, 812.45422970557354, 813.177066877485, 816.1476606913152, 818.55844627873284, 820.08723331120893, 820.47953591737007, 820.72792832815003, 821.5673563062428, 823.61399735988982, 826.17299559077287, 826.65049080061794, 828.24503462545624, 828.42471790201978, 829.0401268236983, 829.31651795402797, 830.33932368163119, 831.01389269678521, 834.45052536873675, 835.50887413080329, 836.0019771188978, 836.08855861870757, 837.59970560264446, 837.92612180938283, 838.58936101444408, 839.25305762985977, 841.96279341070272, 842.06959081673688, 843.07191401572663, 843.15344769112437, 844.01348623819047, 847.05750549163292, 847.44871599214514, 848.18566416718136, 852.90675698553787, 853.76038146698568, 854.21981501852633, 854.88152189877007, 855.29873525184883, 856.22176645214108, 857.2659012872881, 857.74043201328038, 857.86140974446994, 859.57589684636389, 859.92275580052899, 861.67467940831239, 863.96920202674562, 865.93222621022346, 866.1872426457054, 867.98232530874543, 868.97933782593941, 869.16335850920962, 869.77756820662808, 870.47058277447309, 870.8637687212921, 871.11180313709758, 871.61983000483258, 871.83118018095945, 872.82938730682304, 875.24155774957524, 875.5481606279435, 875.63186698477023, 876.62461311772131, 876.9866380978068, 878.61450565571329, 879.57103239741161, 882.63639637442884, 882.6817527764324, 884.4942176351866, 884.58518027686102, 884.90253498564766, 885.97275247543757, 886.56676553262241, 888.54155684464229, 890.62496710917412, 892.68438388709239, 892.93855046968702, 893.18522533896385, 894.6172717877522, 894.78928448058423, 894.8661509819251, 895.58612396682759, 896.66939465977225, 897.07087397448151, 897.1183886657609, 899.10333583996987, 899.45213419495599, 901.9179304442398, 903.17855133240471, 903.54680543304426, 904.15659691220151, 904.82013285166272, 905.60466832209386, 907.38409616372621, 907.48382044992366, 909.2281585044999, 909.25744453340519, 910.59258094811253, 910.88468462215371, 911.24842666446546, 912.27158609447474, 912.37302772619159, 913.48752522305131, 915.112195634214, 916.16181327811307, 916.51934868955232, 916.81523026222828, 916.90625353445205, 917.37466212959225, 918.07254202198112, 918.72491297203203, 918.96394440713073, 919.32921890208968, 921.0525698023016, 921.9738409729415, 922.41258084863728, 923.83108535417716, 925.87729490258982, 926.59089605761483, 927.67025364497613, 928.66616892171237, 928.83334133924927, 929.30133622961773, 929.55173357484534, 930.36110948991768, 930.75327087112214, 931.50271878248714, 931.53722679479449, 931.89038252186958, 932.34433104489051, 933.5095151764184, 936.70461702565626, 939.08823447469376, 939.45753653365443, 940.82006404985998, 942.38245918075847, 942.83477759062544, 943.0851932924943, 943.29469333729878, 943.81661349057185, 944.39517909213816, 945.1779434802952, 945.91361282768059, 946.53470312819616, 950.82764953350591, 952.33189549612166, 953.5752438815166, 958.40070101474475, 959.94478041489936, 960.62339489748433, 960.66845129982994, 962.57137523109816, 963.53584703850424, 964.40370186513519, 965.03716891782176, 965.85372483841297, 966.06133633185186, 966.37565413873676, 966.6207172469409, 967.0611405021433, 967.15159860575091, 968.45764671314612, 968.66651910473001, 969.03809505080255, 969.68820369246998, 971.01541999125777, 971.1243674506818, 971.87073098741098, 974.02897834062935, 974.30916029144828, 974.72290282219262, 977.03289015371217, 977.28518556485039, 978.1075444791087, 978.88665236806332, 978.91967503395074, 979.95218930446492, 980.03006583618765, 982.54027489773057, 983.23423475478023, 983.88496682014704, 987.24165828369985, 987.80195594966847, 988.37708436869389, 989.34335922713137, 990.26211068929479, 992.86931855914418, 992.96931423177364, 994.24559348430864, 994.4427118565668, 997.44044099274481, 997.73450044007302, 997.80299407314294, 997.95744960555669, 998.04344969203578, 998.13910574838303, 998.31554243983317, 999.73025827178344, 1004.5048755683637]),array([47.296997040383225, 50.155396648426276, 50.452426517343106, 57.256887264130022, 57.483149553646449, 57.96310183336243, 58.445617845166396, 58.867193477569849, 58.897152756205699, 60.144350784457522, 60.437576327439572, 61.260010550210559, 62.962643032683886, 63.620433469017378, 64.110517495587985, 64.400487852365202, 65.678017304297924, 67.674810208936847, 68.05432180015201, 68.175808675252924, 68.603636916730125, 68.689818320166026, 69.904305938963475, 70.624256754298045, 71.090810677159581, 73.537703143094774, 74.573554151833335, 75.159359426912474, 75.536047766168608, 79.329180902065403, 79.794504715815577, 79.870558713183144, 80.819727743686826, 83.096177713456157, 84.410295018724383, 84.629791171211792, 84.779761329989896, 85.195940668160148, 85.332478381907251, 88.434800307313409, 88.683773335167416, 90.965579194898709, 92.234855481804928, 92.857313720531394, 93.61827787742115, 94.5705128799965, 94.903706184662468, 95.86628770562038, 95.897066262169901, 95.942735529264453, 96.870738707051999, 97.633526188803287, 98.849954291410683, 99.967356205585716, 102.17923040076482, 102.53325281283114, 102.94611307883385, 103.04565761496023, 105.97104929500577, 106.83272036051662, 108.55692810840488, 108.83586635113768, 110.30687297448638, 110.6241660457039, 110.91509560687697, 112.11862192009536, 112.63303368627896, 112.93738313095665, 115.06532125410786, 115.81798486472852, 116.09218436430028, 117.32580028666592, 117.67374382778371, 119.2679868847805, 120.56651828884031, 121.36830403360867, 121.8855908627761, 124.70833274000502, 124.79170305382657, 127.50146859085643, 127.88477425403003, 128.1924107887414, 128.47533738145563, 128.51210859189064, 130.57948081233138, 131.55383245609804, 132.17028806369697, 133.92155396059908, 134.393294780628, 134.59596218897073, 135.03712660725901, 135.34616936879502, 136.11928319317147, 136.49946097600622, 138.76872543267828, 145.87242261868136, 146.07410280601948, 146.55700209116421, 146.83153306361632, 148.08554242614667, 150.67751189746122, 152.16286246290579, 153.40312677736225, 154.39508380482778, 155.42320457124083, 155.55318372601994, 155.59938558007437, 157.11805457074146, 157.79121881327376, 158.77291278478486, 159.47909024068207, 160.08581138626323, 161.81664193261815, 162.28659611499788, 163.33038314072999, 164.67349450870893, 165.76147431520494, 168.37366402689193, 170.14971629849657, 173.31580870261206, 174.55720263229782, 174.95877261780174, 175.19691558519602, 175.49126611538298, 177.69525779036624, 181.07928481714833, 181.41678331547308, 181.51598147814838, 182.71271914494091, 182.92041030982324, 183.58936796271962, 184.72923215305164, 185.21565586506546, 186.67753567580274, 187.90846265659081, 188.36851288507441, 188.98586166673343, 189.28763780597956, 189.5031231498285, 190.98125100545505, 191.43680738662738, 195.12680774332608, 197.49769749833749, 197.79028021397227, 198.54403405501216, 198.76423216180618, 199.54415602221968, 200.00332101396677, 201.5249351915551, 202.37817313809839, 204.40894411740717, 204.78175170594875, 206.02558407661766, 207.26247849305182, 208.94100766411643, 211.18838916195369, 211.45897816860645, 211.87127510798879, 212.05839579528694, 213.48963926325146, 214.96903414649572, 215.08766112158142, 215.30970529005378, 215.48428739756736, 217.70167968211695, 219.60563771987265, 220.12440755305923, 220.51522455764476, 222.29130178086638, 224.52433151514748, 226.05393899381556, 226.36738419734317, 227.1842229174411, 227.72802172764543, 228.30885643777779, 229.05589563193237, 230.23089029043598, 233.50298689415268, 233.67944127353172, 234.1363788763808, 234.8769974360641, 234.94058207347081, 235.10943186983954, 236.68522591712389, 239.75626932693112, 240.95646501550959, 241.84499150724542, 242.63547181902007, 242.74039800476154, 243.29826961223941, 243.81059698078238, 244.09664134067651, 245.16743818977153, 246.51564548232309, 247.15277155680977, 247.35289443157032, 247.47212914580419, 247.78153118752692, 248.03260196292405, 248.32684761123411, 248.35295730656506, 249.79611119729637, 249.82974612362818, 250.91161755844465, 251.96789844349283, 252.88258256478326, 253.85478218952451, 254.29762190151536, 255.37091629728295, 257.67665824219625, 258.6012230786684, 259.3142792765268, 259.69598514182843, 262.33042284489386, 262.67473921404911, 263.7944927290464, 266.68245631254575, 267.86370532480208, 268.01408843347042, 268.43886693619066, 271.78050936363513, 271.86537336304667, 271.94609589001129, 272.17604162456917, 272.31228222661701, 275.3320510961463, 276.02906451326163, 276.77299205915841, 277.32302078123678, 277.64712781689559, 278.08190891047121, 278.40095359947378, 280.34393977645476, 280.58871266011096, 280.7277367544857, 281.80257645812077, 284.96158831540527, 285.63279775796207, 287.05557946997141, 289.15011344677532, 290.35886025815211, 290.57010182606388, 292.28489343521056, 294.19807613677364, 295.15978793601249, 295.22832903222775, 296.85479010297115, 297.41691260878554, 298.92452673873163, 300.56895970435613, 300.76353507915434, 300.99471522438046, 302.34646685032561, 302.37016990849548, 304.33748758201085, 304.71606563103563, 305.63350609672074, 305.86882902190348, 307.1075441617694, 308.60705410096796, 311.10171039229238, 311.52908294914073, 311.64557405861626, 313.6785683049539, 314.23608156033612, 314.57739267464706, 314.65010991499651, 315.07298366359674, 315.78087376625984, 316.17356111400727, 316.5374831266588, 316.64210972641905, 317.15243024455413, 319.14323265484524, 319.31649759611315, 319.36812812549084, 320.15768801496387, 322.46156289610184, 322.71769847471899, 327.11436540701737, 327.48405640531479, 328.3997242220949, 332.52327024299404, 332.74041375123693, 333.26030666792911, 333.7507607302021, 334.28256444625782, 337.47835825189441, 340.42340641696916, 341.67181432508318, 342.21250360823063, 342.64259765150268, 345.31394966602852, 347.69333606939239, 349.1745292385786, 350.29678042830574, 351.98013266727736, 352.66010520374334, 353.13700756473497, 353.32861357552849, 353.7076100431521, 354.36789761608298, 355.72077265897542, 355.95048044881207, 356.67363752949188, 356.74864995894205, 357.50271347233621, 360.90467623110447, 361.07677573540508, 361.862361728466, 362.02281160878147, 364.29369251542511, 365.002342687919, 365.3888958519604, 366.97068032941951, 367.71957867956547, 367.77731566446141, 368.12243295965379, 368.36303535894797, 369.97031336323789, 370.45112186412484, 370.63190803293719, 371.69780294228769, 373.03509957223031, 374.86397875635856, 375.22168568298355, 376.22171151263495, 376.36681946618228, 376.66393361296252, 376.76166903208861, 378.01240186641047, 378.80837544716678, 379.26412162540498, 383.20833553964684, 383.69039943312373, 384.66871004919625, 387.04349808436109, 387.54552911335372, 388.53898448701517, 389.02967596638592, 389.66671458145288, 389.85888685149848, 391.37678479720427, 392.17947560261234, 394.67099639908037, 395.15620046019245, 395.57338301067358, 395.74445785691188, 397.90429079494254, 397.94690400123392, 400.54372165843648, 402.77109253075241, 403.73093332661932, 403.81085683044421, 404.27046588673738, 404.58078885937061, 405.72374633763479, 406.67321735994176, 407.15307828066676, 407.40355929171272, 408.83145470887342, 408.96156352634756, 409.62426324555275, 409.7793711257105, 410.39604680942904, 412.76683387294867, 415.04980396092901, 416.63233891846221, 418.71664333950861, 419.25586188793034, 420.59030462348966, 421.71478637602479, 422.66831934937613, 423.85589810190555, 424.47121521718987, 425.75108573608918, 426.1895701179505, 426.84951953628166, 427.03074770823122, 428.40680251753793, 428.99356142404696, 429.26109992410841, 429.71495481580757, 430.18272315691416, 431.26555596591265, 431.58904229254938, 431.62421751018468, 432.35878081829094, 432.88783424231929, 433.28845193434415, 435.73091873894577, 436.22043468232806, 437.09627201306085, 437.21320759616509, 437.91823883217495, 438.48507512421014, 438.55173652894428, 439.06301954686404, 439.42574306191148, 439.66344135959469, 440.82200754891977, 441.51428330878593, 441.80299632522548, 442.31545161834077, 443.33751876164172, 444.73704459113122, 446.373627328314, 447.69812450429401, 448.13744668908083, 448.94756331758339, 449.26904577579813, 449.48806813749655, 449.86818962321183, 450.60011711742169, 452.61266148166243, 453.02681957081188, 455.57483742520338, 456.0407360180244, 456.41406117897617, 456.79596740270802, 456.82093147292505, 457.14714999341874, 462.3208112418925, 462.59355741387088, 466.00146093966885, 466.82439946090756, 468.02541245470462, 470.52412107993786, 472.19254170533765, 472.39820139601176, 474.00929895048631, 477.0868864044653, 478.16857395402843, 482.16494074050189, 482.72048880341663, 485.08834065835543, 485.45819221282022, 487.60898677524284, 488.08270550274881, 488.5789581750484, 491.45881332153687, 492.74104864122404, 492.9231527314526, 493.6212686599024, 494.75714374020259, 499.35093133656113, 499.52523895642349, 499.60609150734621, 500.33780952444499, 501.15618695084117, 501.6274354413847, 501.8616439089302, 502.14399945997422, 504.13186823383506, 504.26292744040313, 504.29466684213804, 504.61593323980782, 506.00204828174827, 506.76579393802825, 507.3050141378211, 507.65833345736212, 508.19024117926125, 508.38604621908502, 508.61759962039162, 510.35515496187907, 510.58737946951879, 510.69293695638839, 511.20348329533084, 512.79971948632613, 517.45568961651497, 517.71282736117689, 518.62476744041953, 527.01771538441278, 527.36192793300211, 528.36475432130567, 529.48654479533252, 530.03121898957511, 530.26819534377523, 531.67263325229294, 531.71872543782331, 532.1768288994009, 535.51862867607531, 535.59767193050686, 535.67585359948157, 540.77757461471617, 541.4955494245188, 544.2216380273361, 546.09633763649197, 547.623741154659, 547.86960766438926, 547.98906516329498, 548.74897923786625, 549.52604563665875, 549.61645295696565, 550.54904548083562, 550.68485048826653, 554.23595416805279, 555.53750081827809, 556.63167103532987, 557.05199742754826, 557.6565090496822, 558.21143751389366, 558.95728070616713, 559.38800037280862, 563.36317041590246, 564.37828119999722, 565.26692444171113, 565.30858919900572, 565.73311919909281, 566.49272384919925, 568.34642164280456, 570.08368003501278, 570.68900286100131, 571.68982035560839, 571.9742370142967, 572.85753404520221, 572.92037352571595, 573.55703162408179, 576.34362739591472, 576.70364662729162, 577.19097578304866, 581.03336315194724, 581.64285901253197, 582.00583560625932, 582.46320535337168, 583.1900217217609, 583.38017123557938, 583.48551555210145, 587.83473699798674, 588.79231823225257, 590.19888567354303, 592.77370704787029, 595.15202463094124, 595.21977889948494, 595.50679101962885, 596.01990339751194, 597.43227704281526, 598.05462963545267, 598.08403115898795, 598.85384865522235, 599.73191878146008, 601.04040087232136, 601.36324825045153, 601.73851555267424, 602.53763884859018, 602.83060572180636, 602.87618839236268, 603.30476617366924, 604.14665775394747, 604.24215607230917, 604.74585386527428, 605.2514875984092, 606.38810254487169, 607.25917970056742, 607.47367244518807, 607.70208943738783, 608.56232142896113, 609.90438024831565, 611.0440752112836, 611.0687114229919, 612.06426179226696, 613.86247880269286, 614.79273609798815, 618.13594221668711, 618.5750258082852, 618.97632750134767, 621.18068171116613, 621.59864902246511, 623.62847086832346, 624.58069448504943, 624.98203840299379, 625.77271266866774, 626.65107488656167, 627.42154350679721, 628.28104076525699, 629.95731105644427, 630.57161506507725, 631.75264699993329, 632.44838710980457, 632.75816007288768, 635.04259632305923, 635.35018701386423, 636.86342670852343, 637.0610572865794, 638.21982616030539, 639.47732436200272, 642.44981152052787, 643.01115331502251, 643.98981029371112, 645.2715135979405, 646.92015356297281, 649.14081287700265, 649.92729887148766, 653.50706376448943, 654.71450561318068, 655.96541037713382, 659.02426590822756, 659.12332957469494, 659.36524412836604, 659.91824468445247, 660.48025030729434, 660.7138341838795, 660.86428460564878, 661.45517226542268, 663.51286773967217, 663.86121280588839, 664.4883365066546, 664.51302519579133, 664.56699402033735, 665.83667188956872, 667.23095246480852, 667.71233593567092, 670.03916902155186, 670.33740527893974, 671.19794840472252, 672.41642476019251, 672.90811575604221, 674.9867772584081, 675.19624043036367, 676.02357152517004, 676.47440353404681, 677.22952614851363, 679.53534568576697, 680.46382685947037, 680.5996666021357, 680.80239160929796, 682.93630323734214, 683.91371177465555, 684.53749652417798, 686.76829605017804, 687.68246146808201, 689.42288217759835, 692.73689961847708, 692.91836026593433, 695.03876788493835, 695.74059191945014, 696.08172980060726, 697.73477089728624, 698.21341526339734, 699.0881443535277, 699.11536184795864, 700.42447120541112, 703.80852353703153, 706.07216438862952, 708.35401720096274, 708.75411101663963, 709.35475245321243, 709.96458133919907, 710.07678753747871, 710.8790415466492, 711.1140812469713, 713.95085137606998, 715.3071155585144, 716.0161480463496, 716.96286137270693, 717.61921054109712, 720.82085428953235, 721.54612911289291, 725.32799016614092, 725.44551589752587, 727.64933076680722, 729.74755298166644, 731.50109277960973, 731.63901540990037, 732.27740350945521, 732.5186358265438, 732.65546078409477, 732.96302910329962, 734.50577040594055, 734.85891335039753, 735.64212761520901, 736.25470956579022, 736.58526498596245, 737.61234128008948, 738.01846422822257, 738.34509501841353, 741.17531130780583, 741.5323965813327, 742.31328795210857, 743.03072427226869, 743.28685070946779, 745.32786436525305, 746.02546596321872, 747.89482137452444, 748.22763214629322, 749.76283537645008, 750.05146932028208, 751.20199204374046, 751.31650051540464, 751.71911814891507, 753.48549340426769, 755.4575814542635, 755.68898857670672, 757.2560926659088, 757.37521865577719, 758.67731773253593, 758.98037000790168, 759.64393979030933, 759.700051705654, 759.86547389942621, 760.16706732979628, 760.95233471088477, 763.41963763456204, 765.20796658481117, 768.69508590286205, 771.57452918967113, 771.60936742719082, 773.5317285868789, 775.25238291859364, 775.97486009894419, 777.13221320392654, 778.43728828309145, 778.47770303193022, 778.91282181991528, 779.60554571585271, 779.83963518583596, 779.91043789028765, 780.08330085632485, 780.61185817869546, 781.02563340513473, 782.03586126212281, 782.85163018099558, 783.2900384235611, 783.51799965281464, 785.19877832843599, 787.80409159217425, 788.24030756456068, 789.34379942353451, 793.18101326350643, 793.2953638325954, 795.10852478315417, 797.51350258259504, 799.34111799777463, 800.10557031058829, 803.23726997828135, 805.4202376864796, 806.61835917588473, 809.03601027435252, 809.5476522552068, 809.9994495597042, 810.66238219552383, 810.86683989179744, 811.76289649317414, 812.64001532307441, 814.52345066168323, 815.2653997173727, 815.9549028868355, 816.45791909106833, 816.87296447230892, 818.48541387686873, 818.90750189437824, 819.66900627516941, 821.86977594805717, 822.27365347039074, 825.11330821224124, 825.4423249348207, 826.13530930148443, 828.48458867798922, 829.25569137686023, 830.45361005485927, 831.693480774612, 832.78450505342983, 833.00379053825338, 834.89774492227684, 836.14400191587799, 836.66921179664428, 836.76959269669055, 837.84352471291106, 838.544438893098, 838.62970013054223, 840.66311991564578, 841.660934116215, 842.99936400010836, 843.53449579842299, 844.54815033966577, 846.37943457414815, 847.42164512838406, 848.04403597888427, 848.60457529919188, 848.67378756673372, 848.96358305988349, 849.01767335975387, 849.67379595473005, 852.54394135452878, 855.33252131788356, 856.2362464025797, 857.05738267890365, 859.67468898485561, 859.72142881003776, 860.15341701521447, 861.18957588971125, 862.33527940241993, 862.42029443480976, 862.58127062992719, 863.19969924802342, 864.97056978905948, 865.87465140622839, 866.68387676391148, 868.15865143374538, 868.26220214320904, 869.92009882295122, 871.5101243335871, 871.81682698508848, 875.33700656637052, 875.39111897636519, 876.19775981120574, 876.64902026532013, 880.20939870601069, 881.77672723102057, 883.36048033410373, 884.19292952863714, 884.61938115567114, 885.76253358548615, 885.82742013396864, 886.21985119021986, 887.64456706276405, 887.98103674691117, 888.33489389252622, 891.69559901314824, 891.93478358132779, 892.09885954296317, 894.64633721842995, 895.73350305162921, 896.09125037772219, 900.09268906111629, 902.48886477352266, 904.40020071433389, 906.88291981227815, 907.04988085176899, 907.13086130590375, 907.40684667293363, 908.35326969024572, 908.50487131234024, 909.04238541947677, 909.08594135197359, 909.34355801787729, 912.79409697120411, 914.68391388773261, 914.75740517508677, 915.43072047420208, 917.02656335604456, 918.53011025223066, 918.98857825834523, 920.39956502075097, 920.60142322147578, 921.9671502563898, 923.21088789655494, 923.28452785424099, 924.35189437482722, 926.58149598950354, 928.07812322400957, 928.97064659956652, 929.30455908773808, 930.37201711865146, 932.08609968285805, 932.30044800299095, 932.86323570693503, 933.39782623358337, 934.62926992566531, 936.0495053528897, 936.7306035361986, 936.82242331912835, 938.37102422786847, 938.49875374317753, 939.8506915725236, 940.58032110847125, 941.60154989073874, 945.27352292235366, 945.43576951094042, 945.6864855775143, 947.71340230337387, 949.55288294605248, 951.54673517607398, 951.85812545780982, 951.92413046313345, 952.7146617513846, 953.76464134109676, 954.08662198274044, 956.14485184796877, 957.07130173926396, 957.38112047214713, 958.19587405935249, 958.55295497834868, 959.81658103657037, 960.84599792660777, 961.39324860854072, 962.15421959630351, 962.21086568843361, 962.90250084360696, 963.63566810632437, 963.84554724964346, 964.13426541087108, 966.97658456958413, 967.02800075382777, 967.77471603209392, 968.99798327760334, 969.06908507154264, 970.51059858205679, 971.44742728560868, 973.5808979309553, 976.22822085009909, 977.73881713792423, 980.83379113693672, 982.21354681343962, 985.69324380573028, 985.80511046721483, 986.03828800958809, 986.72811951127562, 986.84503441879349, 987.18289250469411, 988.82087342534942, 989.47256304215159, 989.56254835939922, 993.30369673448001, 993.40329915947416, 996.28837141717179, 996.69688937812384, 996.74845086407754, 997.26787293217933, 997.6024994674159, 997.74926895475357, 998.45260389175064, 999.05620952506536, 1000.1558542880156]),array([50.501013320761942, 50.534978977951511, 51.156865260651763, 51.487120839433537, 51.86731710952759, 52.935603039908038, 54.333212511558415, 54.622258490592117, 54.992127327457354, 58.227291293195442, 60.51402050869352, 60.940375136861427, 61.311018918519771, 61.952585510357643, 62.027672789864916, 64.86747817765513, 65.277172652648218, 65.486714523652793, 66.277630172961082, 68.143105505480492, 70.327173096372363, 72.215455231358646, 73.064179065869268, 74.31178034027333, 74.944294508463145, 76.15494579836276, 76.62258234045585, 77.458882444588539, 77.732453329925107, 78.248119068929654, 78.774787256924526, 80.114147962867463, 84.447762198289098, 85.470180175531439, 85.685909658002245, 86.440960298345161, 87.338267015461767, 90.912488719685612, 95.101110572951939, 95.229989033636684, 95.752932706350805, 96.06730920708462, 97.02467610743544, 97.127831647255164, 97.538757158669355, 99.090294837571008, 99.238790263859457, 100.10231626660047, 100.8915262949739, 101.72861804740712, 102.7554475706748, 104.2941558378847, 104.94530775419393, 107.30658583193834, 108.49486417050836, 109.25901896772419, 109.67166930241221, 109.96153383013343, 110.36476381744242, 110.74089332835563, 110.79412074330921, 111.38621127668628, 113.9329819243811, 114.27216788336372, 114.51448797598277, 114.83728689199621, 115.53337420222452, 115.59760887002813, 117.26772111919487, 117.54178121351765, 118.29550956179774, 118.69864726424501, 120.9636242401987, 121.24730465866907, 121.32569065121997, 121.62959054581508, 122.00706305183004, 122.96794183088915, 124.30335755622563, 125.88567757060606, 126.83010141768754, 127.15842482173953, 127.72161436741912, 128.02274438422501, 129.02654972808321, 130.56634807482416, 130.9101500418443, 131.35091649168666, 131.46122480471985, 133.43003577293609, 134.98771568907603, 135.45959051377829, 135.58336412873624, 137.50018009612404, 138.85462930335783, 142.69798922838231, 144.29053130865503, 148.69213500388955, 152.9299034683888, 154.12343360138979, 154.68222911274151, 155.15477774941075, 156.4378278514983, 157.28704221850762, 157.38573895071812, 157.57912105170979, 160.23127955233855, 160.72197413952452, 162.10863861712917, 163.43400587884821, 165.21242051873344, 165.7255248402914, 166.69055359180106, 167.52063046031992, 167.69538356047633, 168.13128583881928, 168.65924869800341, 169.97455818998316, 171.46465540302165, 172.26964551769981, 172.59880909975723, 173.77829172116068, 174.55629581175191, 175.08309040467586, 175.33212518825863, 175.49366462212257, 176.86629875372233, 176.90650613226981, 177.96116865347236, 179.70343164106436, 181.76774121090068, 182.75728421344562, 183.01248740195322, 184.93627799407665, 185.71754644293739, 186.46023678437066, 187.31200558905778, 187.96646112982847, 190.36360741265747, 190.50733963859039, 190.53823503112423, 190.74544778976178, 193.87150750972114, 194.82183959705446, 195.10122699433373, 195.32912075778708, 195.35662227656277, 195.57221777052237, 197.58177948865193, 199.25983860754059, 199.80277796784995, 199.96634288139654, 201.22383486418832, 201.95169781265588, 204.89218233824636, 209.73535709642942, 211.56418135243266, 212.16761225316876, 214.87287498542392, 215.82467162939091, 217.30301398534621, 218.82131836507381, 218.85428274611237, 219.10790363129431, 219.91659175490824, 222.0850065800899, 222.63987207825338, 223.80145075417775, 224.16938101546859, 225.65267561396561, 225.67542198941629, 226.8257000057238, 227.86540159463522, 228.01673736623479, 229.67175466198921, 230.89718481379975, 231.15073308659882, 232.42881724630368, 233.46543193815469, 234.95998773832497, 235.05244345097856, 235.18030754043724, 236.58778361156868, 237.60157260414181, 239.4210354897281, 239.69518789194694, 240.81615259226365, 242.2852499592407, 243.00199393941728, 245.76745421003838, 247.5089827817022, 251.65710695811734, 252.15231246525749, 253.54646910445561, 253.75413841058963, 253.94028408370946, 255.65497359195669, 255.6773019050361, 259.09405777229028, 260.39515312783561, 260.77168234071911, 263.74227869114662, 264.9302795753033, 265.89550594699108, 266.90143237052513, 267.01173420525026, 267.27265514996668, 268.58760067452596, 269.93006575249524, 270.19296842427042, 272.4591199650331, 273.83877585260683, 274.99526224713804, 275.01669131181529, 275.81900114185174, 277.25760092389027, 277.82273728011143, 277.97790532147621, 278.16966906976552, 278.55531605671712, 279.12601627068585, 279.8232121910238, 281.13511552337877, 281.38588563129548, 281.5367890536404, 282.22547994576183, 282.90182537098872, 283.63510291384108, 284.09047287460692, 285.06661150950066, 285.64291096433647, 286.09522965904705, 289.08853194230085, 289.35076675480701, 290.25046407975503, 290.76750712344926, 291.20269240105648, 291.51408272677588, 291.62056767147976, 292.64465978707011, 293.75193713419668, 295.25517910458996, 300.89353120614771, 301.93220000107374, 302.04375038860815, 302.07836179067937, 304.66424621277497, 305.28515787650758, 308.25237714984195, 311.32136918811767, 315.30499430626469, 315.95859962438158, 316.11690514800677, 316.86454473736728, 317.97881773753426, 318.42241907892208, 320.62483004055122, 320.81628509950906, 321.60674699117999, 322.16484495981911, 322.22242037399957, 325.08521651030213, 326.45959230794369, 328.93084855006128, 329.45179243826522, 331.25922721577706, 331.53491846215906, 332.67573418390316, 333.95976654207391, 340.03885768408747, 342.01808077186377, 342.46949527621041, 342.64245303132708, 342.71197040253173, 344.05964398875034, 347.26635490300436, 348.97569756370757, 349.17801627570037, 349.50759366338036, 350.28867792502228, 351.60740004988264, 353.78964191378833, 354.60253707540716, 354.68695249583055, 356.00664340291502, 356.55826434615267, 356.61129156393645, 357.46091435480156, 357.96754974065243, 358.20754533834764, 359.25096229037268, 360.67111169044443, 361.2845748551606, 361.57014156989038, 362.52898920015241, 363.05924480846966, 364.67769288573845, 366.89113985029701, 368.63280759921992, 369.50819287401998, 370.10096653061294, 371.36814381797035, 371.70529714046148, 373.73201812339011, 374.34433069629966, 374.667652380829, 376.45959406221505, 377.01760748874318, 377.21979803377826, 377.44592123625995, 380.2285581103551, 382.98980587379447, 384.45622596074048, 385.01412844281549, 387.30150737960162, 389.45693396778307, 389.62598831441937, 390.32947278520112, 390.80223150739801, 391.00721728182202, 391.49908401570093, 392.38867490538888, 392.88288520855963, 393.66695100207477, 395.38841984609189, 396.27264185087091, 396.84531817494462, 397.7841548106241, 398.08791304143517, 399.71427936170153, 399.81564592139472, 400.11241034598248, 400.3118331092337, 401.6434558109147, 401.7297241415701, 401.83378144585333, 403.99692255435883, 404.04461154666916, 404.74633088332308, 405.43490805029921, 405.49043893931594, 405.57344533525145, 406.04611114585373, 406.53023733190531, 407.29434976349978, 407.75088211896332, 410.65344497679712, 411.41498989947667, 412.59435768335936, 412.87019784777465, 413.16984627306761, 414.16587466416701, 415.15273984597354, 415.77323249768125, 416.21582932965129, 418.9968618417434, 419.23755681593639, 419.59920920222788, 426.04233903871091, 427.42976740283677, 428.30128618538873, 428.58496399246354, 430.33443961758928, 430.5855809456524, 430.70431771623936, 431.43155387996933, 432.2747895389474, 434.45639244263697, 435.46710639027077, 436.40343020561443, 437.03661206589436, 438.53459583588267, 438.5906002099415, 438.79789367236856, 439.17961476949267, 439.34026011843872, 440.08491962893481, 440.29973256048407, 440.87326132288308, 441.41122758958147, 445.84047455593446, 446.40862371381343, 446.89987660840359, 447.8054551359678, 448.64672326617608, 449.34871856309371, 451.1197058237484, 451.74206497665762, 452.64784358724933, 453.24098244522912, 453.78273500240215, 454.92443518254436, 455.72249879142322, 455.97021349885068, 456.11872341673495, 456.30012855438747, 456.34276656119818, 456.77132446089792, 458.0722108072124, 459.29563672294819, 460.05666000547029, 460.67140574734634, 461.61137315056129, 462.39288668679558, 463.11056217023037, 463.42646354151037, 464.38583387772934, 466.28629291804435, 467.89594745251719, 468.0803576462194, 468.5477261774509, 471.99374724164096, 472.41164308680271, 473.67946078308324, 475.14613908809071, 475.63333947630917, 475.95274473787015, 476.29589882803066, 477.76006710874651, 478.25783178450519, 478.75212807359702, 479.65774993363669, 481.00870666438101, 482.47238845505109, 483.75825540028438, 484.90975220675506, 485.2248388905262, 485.38690301512548, 485.57945329857188, 486.92572611689235, 488.00111905768188, 492.26615955240896, 496.45761969304021, 497.7961644084798, 501.80165957690195, 502.26467348587647, 503.88799090329928, 506.66293150343336, 506.89378917174531, 507.97805706691616, 509.30789636416745, 509.39298368434845, 510.46144052984687, 511.0007228898362, 511.46761698568719, 514.94988573305704, 515.9308451198151, 519.6529232755845, 519.98876039746494, 520.38661878409368, 520.42541042441837, 520.72525880905459, 523.86732247649695, 524.15566182756902, 524.52242287805302, 524.79113138637649, 525.42553938787285, 526.40022748487991, 526.45566585379333, 527.50219360327264, 527.62088984602212, 530.80138279903554, 531.84359340096819, 533.46693472326319, 536.32421472586941, 537.30418261212969, 537.79895782242954, 538.57718807377432, 539.82650115432364, 541.37886847402774, 541.92451762182532, 543.59614431861689, 543.73456666370066, 545.3364391797229, 545.53513308557206, 547.17929386828371, 547.41938239580372, 550.35991879287781, 550.50469650585421, 551.35718000842473, 553.42735871600462, 554.22315311028387, 555.10839426507039, 556.17308830689228, 557.87688150029726, 559.09263405351135, 561.66787971907502, 563.38548655795432, 564.24388918555599, 565.63578288631197, 565.93866769160888, 568.82411104509845, 568.89071207595555, 569.60808775853206, 569.73758844176666, 569.81060609803137, 570.47964453677173, 571.33798153043142, 571.566117814373, 573.38450094885468, 574.63566140605917, 576.68244616751952, 577.20815929985019, 581.42844772589433, 581.52694312207166, 581.70730009271256, 582.06722097766567, 583.16237185913315, 583.77605693113696, 584.62314712804243, 584.926522937448, 585.16052905980928, 585.29367357597698, 585.36867855237051, 587.38402146898557, 588.5963206446645, 589.26798660564396, 589.51729991869445, 592.34978036262794, 593.24770526151042, 593.99057292302348, 594.26717605379542, 594.46968165435806, 595.10543251626905, 595.27748967383104, 595.56689785149229, 595.9954943645705, 597.40895249189703, 600.89704553579338, 601.57133226115161, 603.67902346167386, 604.75601422769876, 605.35839388104716, 606.37756965183212, 607.44800819608963, 608.37659985107484, 608.97575928070194, 610.01704355568563, 611.0129632748019, 611.71056180241783, 611.77877676706578, 611.88013749800257, 612.87057094571276, 614.67847563546343, 621.95683232438762, 623.0643425929826, 624.01248393730384, 624.15848389343307, 625.27082596491073, 627.38689969624522, 627.62230183708584, 627.66977209568608, 629.89343508636466, 630.73335280256128, 632.09668882127744, 632.59445463018551, 635.42904339872427, 635.71442572279523, 636.61807404536785, 636.71371780561435, 638.04931009333689, 638.20385979246907, 639.85374797856821, 640.11500959959835, 641.29115239538498, 643.36650037724087, 644.95505374636093, 645.39644250402205, 645.66316872475818, 647.46119212173437, 648.49282741557238, 649.81642890560772, 650.26772774103858, 652.2394908140692, 656.79922397993312, 656.97946165158385, 657.55727094319241, 657.66773343543059, 657.83095511604654, 658.14239795479511, 658.38700357603807, 658.77631957954225, 659.63767255863331, 660.23306961105538, 662.12480802485697, 663.17455892902217, 663.41048510343376, 663.52077660094756, 665.19306327816946, 666.09754126789346, 668.09166844259948, 669.0713640981586, 669.57628194568736, 670.11389113342261, 671.87721674097293, 672.10070078066269, 673.58079197437439, 676.90655972338038, 677.46567155619755, 678.30561612268116, 680.08207549994006, 683.3108537868784, 683.68528247077086, 684.85271812359713, 685.07847023429508, 686.95462278895184, 687.22900912281443, 687.97180807675102, 688.21238034834346, 689.84151111857511, 694.81633121697098, 695.21117744281355, 695.7085581392713, 696.51464340094128, 698.33639380022805, 698.81517320288083, 699.07677400769535, 699.65973371043822, 701.32864602923541, 702.67625990347278, 703.94334499338765, 704.76090575543219, 705.88407919908047, 707.30568867654119, 708.70554714926641, 708.77582931516065, 708.85435508797104, 710.41433230028724, 711.30238150016328, 711.76426514670584, 712.61518732864704, 712.99481382808619, 716.2859863921027, 717.03607855888151, 719.64898443409481, 719.96875776048159, 720.90529087088771, 721.37853827573201, 722.25785039064363, 722.52709320055988, 722.73404352596333, 725.17197562977856, 726.65507477538779, 727.21767649020433, 728.2464342480622, 730.17165750038464, 731.32179062912769, 734.73267505483466, 737.84154088982007, 739.39241297777164, 741.518989703834, 741.86011031539067, 743.88951478284423, 744.29867012909415, 745.63022987407533, 747.32318791794228, 748.18941808904867, 748.62562477550273, 749.84389738777202, 750.88546983970559, 751.26895902099136, 751.91173836426515, 752.10667737590359, 753.94605125297721, 754.22165431448002, 756.24968993363677, 757.06587025130193, 759.03480642709053, 759.19507933780824, 759.21824562111556, 761.16157375494754, 762.24071785813965, 762.47141579863523, 762.63714723559838, 764.95102527746837, 766.29589943113558, 766.5214658207052, 766.71908593277044, 767.27188975441982, 768.46952375162402, 768.75757759949602, 769.069411760864, 769.11917088317227, 769.84165753127672, 772.19402775819026, 773.63079049625583, 774.3553620343954, 774.56527981113459, 774.59684661730637, 774.68599358146537, 781.38673790387463, 781.9980360524803, 783.27881550406244, 783.78706556973793, 783.9956234883324, 785.78761511799144, 787.85969554519772, 787.91958647559693, 788.12624326154253, 788.68551026050091, 788.89209007936915, 790.76265733732498, 790.82281451187453, 790.96118246103117, 791.34357943424368, 792.44436172867404, 792.96407158227225, 795.52857901570565, 797.07699574941239, 799.13168421498256, 799.97313526754158, 800.62850055721958, 801.17197117595617, 802.40484623135001, 802.87659560805082, 807.11236497973152, 808.95666239784123, 810.96129032599822, 813.42116167706342, 813.97571996834677, 814.09903509120738, 814.42690440810895, 814.73222730957173, 815.93662815822063, 816.80419137576462, 817.04412075036657, 817.4373864159636, 817.99871777790656, 819.33007633112379, 820.14655586826052, 820.23431802568689, 820.64209088708071, 821.31319154090397, 822.34866356467319, 822.66267521450936, 823.11841767114208, 823.88525929443654, 824.75362110057722, 825.65592527728631, 826.57603645532083, 826.83465371947136, 827.05461437724887, 827.6809222446758, 828.23539153868683, 829.22203784263127, 830.46726223000098, 831.53401198637005, 832.00824914607483, 833.59510779934533, 834.5216777777722, 835.75147312238016, 838.34226526675138, 838.53663463800819, 839.09133018730324, 839.39532086798931, 839.75456664257672, 840.59766389006643, 840.94427459458382, 843.71031598677575, 843.76263903799691, 844.35360800085641, 847.43524718153731, 848.13746283037165, 850.47290774739247, 852.56273485055476, 853.10185392137464, 854.33430239194354, 854.53846550980052, 854.65315992390993, 855.45457396361439, 855.60354443298797, 855.87902849831607, 856.11686415374152, 857.7420945654743, 858.62059818771365, 860.02180528734709, 860.11160939843523, 860.48156168061507, 860.60954942103649, 860.6821331705786, 862.67550442439324, 862.96235803994932, 863.26246769642012, 864.01611342037836, 865.29851531601855, 866.92970729674539, 867.11201061185761, 869.99606423219279, 877.53447793504051, 878.0531104431625, 879.72665475755082, 880.35298760423279, 880.80905811941909, 881.3863378717034, 882.61138272200731, 882.87642653377611, 884.21680910302837, 884.2837280393145, 885.86381049055854, 886.4549380571525, 886.60857607666185, 886.91950887002963, 887.20035833226325, 887.39900301015859, 887.57837560983603, 887.70598640191452, 888.29018176477382, 889.2752449640617, 889.32768242759994, 889.88757473963631, 889.97356050530766, 890.08035390668783, 890.81191121646145, 891.49424129020701, 891.52933981212891, 896.2757034224071, 897.05586603142592, 897.29492617873586, 899.61671804254399, 899.90963305235243, 902.25782939193743, 903.16016986840452, 904.00398075470582, 906.95021189270415, 908.67449443635769, 908.87807208195306, 909.78433337021204, 910.78440703258173, 913.10891932438733, 913.2092334893382, 913.9606207274586, 918.11019101867316, 918.39451528459506, 919.42796624290395, 920.29776274373114, 920.34239929262105, 921.52974624896058, 923.94380456529655, 924.98126147099219, 925.65101351851081, 926.04642473184674, 926.07028635493191, 926.97609606486162, 930.1813459057006, 930.58876142949782, 931.60758429189934, 932.29291961771924, 935.04896838682043, 935.61771082970051, 936.46678091562319, 937.97567914702336, 938.43253127756839, 938.96479761367391, 939.7092934203514, 940.08213294156371, 940.13704745083601, 940.24737620570579, 941.17576017288195, 941.41401632144346, 941.9899592150831, 943.57857871949921, 944.29961483554393, 945.43018247037423, 945.9494945839815, 947.84271347780088, 948.2567775670575, 948.85748553609665, 950.14510206848013, 954.36361504519618, 956.73047169995482, 957.07142645892372, 957.18349411335282, 957.47751731260917, 957.65558205866671, 957.85329288909429, 958.71030872507936, 959.35034843165715, 960.07513575449036, 960.67488865600433, 961.09388391144535, 961.92886946859824, 962.87346097821637, 964.17905296896163, 964.37994114382798, 965.25929487372116, 965.50763848831298, 965.96057795535251, 966.11023024615429, 967.62034935567169, 968.69407459551746, 968.8613552329474, 970.24844524817195, 972.2996429891158, 972.97140912895338, 973.77905225739232, 975.55353087117851, 975.78770049760408, 975.8291527259239, 976.72936412063461, 976.89512228258525, 980.96914386707738, 983.1868770384873, 983.31728201905059, 984.12542712193238, 986.41109360953476, 989.11418933026232, 991.31121162574709, 992.35086960072829, 992.5940727390041, 994.31082143220647, 995.04418325828294, 995.68625813902906, 998.0979716796877, 998.23568666395772, 1000.0417389343573]),array([6.3859682615794782, 8.2409507308700576, 8.2796709240271635, 11.706783434609653, 11.801737397822706, 12.522778533449136, 12.625338342110282, 13.151584427318831, 13.313863633124795, 14.964620792494356, 15.098134142790204, 16.711022164191629, 16.787227852173494, 16.898187629045839, 17.346379853853367, 19.986411519665197, 20.474675643711056, 23.234301470481654, 24.997360420608914, 26.301360817795679, 29.087914690780121, 29.46204129768762, 30.330214831464801, 30.569950335120982, 32.621106608792331, 32.820303883008243, 34.672218583418854, 36.974563482631538, 37.619619641807951, 38.251168277379243, 41.925472598786392, 42.133408082916546, 42.217015054070124, 43.07016729561866, 45.933433293762349, 47.090992708562752, 47.580492750649839, 48.859240405369725, 50.192322367850188, 51.882566579426538, 52.20961812075155, 52.660696144089314, 53.09958468864356, 53.517211532886868, 53.640079873695875, 54.442875291943551, 55.103809638887341, 57.357290214857933, 57.99785203723674, 59.069285311075959, 59.398988569749399, 63.883206548143768, 65.657641831240326, 66.08365430393853, 67.086467678561675, 67.791624016829545, 67.974408303261015, 68.154939538271151, 69.369628093006668, 70.359217279070776, 70.906376770147034, 71.171802243008528, 72.692034221418922, 72.725858576227722, 73.401919798233635, 73.689548634023254, 74.268008516910498, 74.690460770993141, 75.218551728611388, 75.387625370361121, 75.831294522683379, 76.150720441207866, 76.395245387279971, 78.331009529380225, 79.485057929934243, 81.552704483563147, 81.67575471772281, 82.187619286444061, 83.055529519639052, 83.872687286738781, 85.22232511083314, 86.075617059849819, 86.558208201054541, 88.408588295738483, 88.885114687120208, 88.916561963871388, 91.111234632567516, 92.809253529275196, 93.974888404095523, 95.131047113019349, 95.670052204115038, 95.908691790543031, 96.171776272040105, 96.5246834803052, 97.150727545547383, 97.847487122452989, 98.181399100335966, 99.749763559147439, 100.04472326181933, 101.36329415302799, 103.9805801196829, 106.30548119035467, 106.43441732562043, 110.54254666316983, 111.9979148403873, 112.07525394696779, 112.28284564298279, 112.85469276107921, 113.01757534362561, 114.25405196906479, 114.78355865788056, 115.15595145260573, 115.48037460904582, 116.36689230130077, 116.92737048535649, 117.93498457575102, 118.25006730387003, 119.38216861073064, 120.52769381511654, 120.7181330232256, 121.6984664843079, 122.10308092727932, 124.56144512452406, 125.13600902631848, 125.17842028979268, 125.95400968377766, 128.3485333788733, 129.01272985559444, 129.59906043482596, 132.68595860228939, 132.91904838391883, 133.07791701432424, 133.83488513883887, 134.43370470030786, 139.2327566922508, 140.23712104798869, 140.62234612033029, 140.78006910083676, 141.46728514218458, 141.50252456613592, 142.94139043779938, 144.66063501719253, 145.18781248172405, 145.22012591146091, 145.26390790213583, 145.44284089403422, 145.48363829147749, 148.14706989828358, 148.57098764875229, 149.87643499327905, 150.5933783910765, 150.70120888362237, 150.74672379985466, 151.31890587890726, 151.95920535652468, 152.79358280462472, 153.32551108066716, 153.65401153633772, 153.68236093673161, 155.27346705531781, 156.19247670759592, 158.64924338484124, 159.1144877578684, 159.34253459539855, 159.95563718420843, 160.89582819017301, 161.03328255156714, 161.15776265302185, 162.42623830355009, 164.25310734959996, 166.29735614245806, 166.71870050381392, 166.79275060212183, 167.14496760701547, 168.18527792508593, 169.54735088936098, 170.13607052323789, 170.51032476113781, 172.28961598473518, 172.37888893941513, 173.7855727542649, 174.62906987757339, 174.68625331530887, 177.07458651803614, 177.53489567240084, 178.53066870761421, 180.17164314386832, 181.99266484481586, 182.08021145133245, 182.77128718327293, 183.09128618128241, 185.73787353172654, 185.87941674320595, 188.62523885916295, 189.67444928193194, 189.86401603980156, 189.99465755016627, 190.2807919322143, 190.38978651274473, 190.62693516835262, 192.95881948833505, 193.23313149936425, 193.43597958757908, 195.94128996157153, 196.05062847694313, 196.59390317159003, 197.41594643508367, 198.09407518984682, 200.38408282549406, 200.4472267490579, 200.50741691677521, 202.07265284651336, 202.99905846258966, 203.49822311877247, 204.07826773502458, 205.2762560506151, 207.32261485948197, 208.95819801683069, 210.18260690636387, 210.33481331751668, 210.76059278261451, 211.88240516176558, 211.96128461848753, 213.51583622557501, 215.33403872921767, 215.61486513888283, 215.71589914778016, 216.78607724757782, 218.36525894897787, 218.90650022941708, 219.55004981606652, 219.79588457286448, 219.87224414105359, 219.97076366113004, 220.92169954271407, 221.00306658140133, 221.21423742097176, 222.08609978093457, 223.38256903126086, 223.6873121053132, 223.82585985221283, 224.0617198293794, 227.10709765995551, 227.8241765549397, 228.03726203983624, 228.41915721011023, 228.98066903294833, 230.79399006320347, 231.13448242847457, 232.43276636576849, 233.44064317805498, 235.57500273281801, 238.51501628808077, 238.76295379431266, 239.55473240524384, 239.85996012660414, 239.93215733384787, 243.12643930772521, 243.20610632736708, 243.41931447293882, 245.6992603360903, 245.82854820377818, 246.25000997026001, 247.30632531750064, 247.65092887411848, 247.92114428399154, 250.35726511481639, 251.11182752086214, 251.35671141564819, 255.00436444288729, 255.48863794349168, 256.26699798713429, 257.12225047461175, 257.72908039244095, 259.23926324804467, 260.32988805371554, 260.4110991929789, 261.10863593093222, 261.65810836216338, 262.52440640719476, 262.98318902006281, 264.32171471818936, 264.58971301731503, 264.65195802100544, 265.2796221304456, 265.75445538012923, 266.75154261801498, 267.51580422688824, 268.75018815687429, 269.96265391860442, 271.44243542063879, 272.19813833755825, 272.86291240628111, 273.24282941223606, 273.48562676085839, 273.51936281377806, 273.57125724064196, 275.07832202514066, 276.46787382007216, 277.52381157676297, 277.99925306829596, 278.96837540001133, 279.5384877863774, 281.81208421422355, 282.04788256544396, 282.46471615853898, 283.00370802224649, 284.51131235207788, 285.35568031833748, 285.47920430523197, 286.03613026629239, 286.15999531196752, 286.47104347846073, 286.71292242171359, 287.20366575004391, 287.3190771022098, 288.11817760002657, 289.87599354473065, 291.93132891480576, 292.40641117982454, 293.77002253236554, 294.84588857096549, 295.26526374555681, 295.36353567059933, 295.68140011318991, 300.50441642556461, 300.78297573890541, 300.80814872003765, 301.14845780982733, 301.42422592374311, 301.59069858322994, 302.39385398710237, 304.90048668711376, 306.01609768644306, 309.49164030742139, 309.68818934923542, 310.4341123759948, 311.29861975588403, 312.42293165353641, 316.6781048357247, 317.00700578413256, 320.52604467011832, 321.02620323743275, 321.12696340029134, 322.37089951584397, 322.43412559484847, 322.58745956746856, 325.78805167025098, 325.8547501964386, 325.87770157363423, 327.23548790241733, 327.99777215684412, 328.94616097668137, 330.59741125110656, 331.04362324523646, 331.17643713947797, 331.39325662734683, 331.44348692350991, 333.21521432025605, 333.98366677374054, 334.21960249335427, 335.39324019854439, 335.66343799785938, 336.89775702678952, 337.7846415774103, 339.66006944381695, 340.56409286892915, 343.33295247308382, 343.61132060513376, 343.78925569241613, 344.30487353146782, 344.75829437948062, 345.68697435198027, 345.73157399290426, 346.70460167908527, 347.09893183045568, 347.16331019102364, 347.41114545358272, 348.2218698911272, 349.52763271124002, 349.72886145111499, 350.06348811721512, 350.11286607908755, 350.89205389327378, 353.83102215991903, 354.15737252011377, 355.58838040141779, 356.08977378205333, 357.37275784553754, 359.02155887303388, 361.81185951332242, 363.12884217224024, 364.96619782770517, 365.85704813306376, 365.94687978787289, 366.42581212432867, 367.29542726733689, 368.94875280502634, 369.29118798057647, 370.10834358391674, 374.00089273387039, 375.14515228327326, 375.83921272799256, 376.04970668271795, 377.42977455721228, 378.67153583377558, 378.97838241428417, 380.27636195057369, 380.56988763528773, 382.10632955392873, 382.30204066842566, 383.77156206148783, 383.91726455325357, 385.98128551224153, 386.62206456993096, 388.41936413239438, 390.82428983259257, 391.08694277998779, 392.06572878105919, 392.66038701492124, 393.37254543991025, 393.48368984467282, 393.61725556808796, 393.70043739214918, 393.89969426194352, 393.99875232958306, 397.40400223511119, 397.47869535074898, 398.68073227732873, 399.61600339337247, 400.85835743953965, 401.83055585054626, 402.09129254289343, 403.39003802491294, 403.42834925324615, 403.52919118818704, 403.78166755567264, 403.84321572691982, 403.98360216543006, 406.32284742215666, 408.50494918444485, 408.9026419062094, 409.32312736132258, 410.84022091192679, 411.0039540012566, 411.58973211222377, 411.73036688599433, 413.51256463110877, 414.0899647808701, 414.11721502893283, 414.19474577120116, 414.88745490203883, 416.53515022405588, 419.54827150385324, 419.74207502313425, 421.61842488473741, 423.27756122044286, 424.29683919490469, 425.00552508313876, 425.07170403779747, 425.58156345707397, 425.92849859003695, 426.3669865621776, 429.68832055913606, 431.08172678628341, 432.31770289941824, 434.19503255959427, 434.83066348044781, 435.61529326218681, 435.93808529192398, 436.76189922367996, 436.85557220141976, 436.92435216000075, 437.28764965366776, 437.89857224143111, 438.04266428758399, 438.49395675138908, 439.76241669092445, 440.39097485874447, 440.42716417004493, 442.06151803000915, 445.37611030411466, 449.34378239362513, 450.05713626515245, 450.2935418316398, 450.75796331205953, 452.91668479561923, 453.22362276382859, 453.96549923022587, 454.63926957910701, 456.47570675245538, 457.17725295647807, 459.84858778001467, 460.89889773871943, 461.08733860040661, 461.73335398432909, 464.51157671243476, 464.94028716726478, 465.31009287357949, 466.22774851733158, 466.44118829492771, 468.37715425336876, 468.82389299060947, 471.07306172138283, 473.25740180921588, 473.56363055820998, 474.89139055171103, 475.35444795790272, 476.1013149832317, 477.72467871475141, 478.61379316336019, 479.74578415082919, 479.7995555163389, 480.63143179453618, 480.66908445831456, 483.38112858220398, 484.27372277342488, 484.65914744350312, 484.82489225387013, 485.09318214938384, 485.76424601481159, 486.1969896934213, 486.77344876674357, 486.91736095368032, 486.97417374897606, 487.39456389460912, 487.56885571050037, 489.14361069183224, 489.29266842100009, 492.35355445964944, 493.70945044706036, 493.73102937402263, 493.87803461570599, 494.19012087421419, 494.3615647690886, 495.14077278169094, 496.25819378920181, 497.81438340325462, 498.59603988405763, 500.10252904943582, 500.30366442483, 504.59532262425199, 506.67121128968375, 508.54967897837452, 508.74041421980269, 509.46276840778302, 510.02316889653173, 511.19779283819634, 511.52741998672172, 511.63609850118075, 513.87141659050496, 516.31729944304573, 516.33996542760281, 517.0669670671632, 521.75331199609138, 522.50806540836379, 522.8489504048772, 523.25067371022396, 523.81556105852735, 524.22602632650319, 526.31489634174727, 527.85505407323581, 528.52592545862444, 528.65805244355397, 530.47383828801526, 533.604112245956, 534.33267947118611, 535.32397822867506, 536.14831976029529, 537.40358244548941, 538.2473281728943, 538.46464464333428, 538.59009818940126, 538.69549441401682, 539.55144181205321, 543.04733524304618, 545.41556140332773, 546.53193603515399, 546.9129495913204, 547.70641551418976, 548.61666976852882, 550.03117290193768, 553.72995292686858, 556.27762053882566, 559.04959600906159, 560.45621719987548, 560.83466166578125, 564.90144070544216, 567.20503988815619, 567.94531059768894, 573.16512662655873, 573.65697690166837, 575.10596939341156, 575.33145400756712, 577.91326397252283, 577.9894968800678, 578.32721214572746, 579.16260476948537, 579.68986065994636, 580.18723542430848, 580.49854323265345, 580.87937993615105, 581.02704661389453, 581.111379432072, 584.09600745180558, 584.45495103357166, 588.30034329033765, 588.76244470141171, 589.14385061220935, 589.78180092238904, 591.23293155063607, 593.16669614642876, 594.07069863402137, 594.30228582176437, 594.4191292940601, 594.968338720828, 595.81753376303936, 596.14664155622199, 596.49819417454989, 597.43899818880163, 598.18585806433771, 600.20256467789534, 600.88260747278503, 600.98277156076119, 601.13715336900407, 601.75873371578609, 602.2174578929621, 602.71186317557806, 603.61853011890526, 603.67583849331629, 603.72701113180335, 605.92075019956917, 607.894453632205, 607.93218949835682, 608.01385893451243, 609.27911272134872, 610.12943067356377, 610.23625047853102, 611.20700978261868, 611.3624197082687, 615.36696821922101, 615.70062766132764, 616.33253663779635, 618.05422059071623, 618.67453135619053, 619.34989096562708, 619.82441653987678, 620.56499545177121, 624.96688746662619, 625.43292533084434, 625.76109037371555, 626.38502760338065, 627.04260406211938, 628.52699093792785, 629.80682344990839, 630.41386030783656, 630.89872006267672, 631.31331780583162, 631.62136667242532, 632.09856867396604, 632.40621833472835, 633.03729910657216, 634.57459306442149, 634.8211368342885, 635.97866988168073, 636.4225349219962, 637.99230600240776, 638.54224431954424, 640.99204249251454, 642.0730943743896, 642.81314127579719, 648.95051405135507, 649.29451086253346, 649.54393833444237, 651.04217070383675, 651.18719560318846, 651.92739991822907, 652.4127049827913, 653.70641412916814, 654.39460313897428, 654.98496278465723, 657.94395580670403, 659.043039556135, 659.51526217330002, 660.29925084114473, 660.36107780863551, 661.56068435027896, 662.20084086100599, 662.55738911695585, 662.62125137527812, 662.76565451359807, 663.6875411818836, 664.03689218824627, 665.61282406853422, 669.96450472808363, 672.10348368923849, 672.26223109188243, 673.20645094277324, 673.84745003931971, 676.00437915743612, 678.27808859580648, 680.26044511413966, 681.22573333915238, 681.52827551691166, 682.73590603472303, 687.51796598824217, 690.33098680182093, 690.74789375879379, 691.13459930283568, 692.32007919173827, 692.48074771246843, 693.51433540512858, 694.04049027135545, 695.06524312756483, 697.28916251843589, 699.37851407831977, 700.01685092666651, 700.75978657242842, 702.04329059351903, 702.20719406480475, 703.07504306235558, 704.02641660308086, 705.64293752315018, 706.8600359959047, 710.1175260455492, 711.64304089630889, 714.5161900550977, 714.68654170341256, 716.08573394928237, 717.12761717154501, 717.41289621322721, 718.11357962157956, 718.82201790974364, 719.1107543398158, 719.13433997487982, 719.62817788126097, 719.73283864629047, 720.30456537131124, 720.54041750256317, 721.12006582208801, 721.27283437017945, 721.31864300703, 722.94029473691762, 723.25583961361542, 723.30543129354874, 724.19706928802987, 724.82125636988769, 725.06786150186372, 726.72721734691368, 727.42673487256241, 728.0748306359111, 728.52552626901218, 728.8721446288796, 729.12423557448017, 731.23374969574377, 735.82527369101467, 736.63889743528011, 737.17246184079124, 737.26285382349261, 738.98099657039211, 739.90136600822723, 741.54025073435514, 742.86251413246259, 743.42646795093685, 745.31794774922798, 745.65459926762549, 746.84345102366365, 749.51947238270475, 749.54525966029746, 749.65064839939635, 749.79133007799612, 750.88031824664517, 751.7356534646176, 753.42638485780321, 754.13169140044192, 754.83126116966855, 754.89252142627265, 755.52744189242435, 756.54821591415055, 757.27945849906462, 758.26376218193877, 759.78267627263187, 762.28062813354927, 762.79343024056243, 763.22846676362246, 763.74783818202604, 764.45675203267922, 765.11320695912752, 766.25432374251386, 767.6366861324484, 767.68205017670357, 768.43590586830135, 770.66516433688162, 771.14559092114598, 772.18843207529005, 775.41071004927471, 775.60454818478547, 775.99126044856189, 777.28637793319308, 777.36570811306035, 778.64016246466986, 778.66510633455823, 781.67471228998818, 781.90957870286786, 781.98142961201097, 782.1826494792756, 782.48066506235853, 783.234580082035, 784.78483929528409, 785.01552709941745, 786.06664968239545, 786.29897862201676, 788.09381443024358, 789.35780562567254, 791.25093420244832, 792.12904735886684, 792.46563151355326, 795.58439099731788, 795.72173645435464, 798.68979896490487, 799.46771689420689, 799.64655606224369, 800.41108129311294, 801.51444954605847, 804.01600431281622, 804.31806331595317, 805.44814822687681, 806.44754942973645, 807.32325071082585, 809.0073473551297, 809.3927708646446, 809.85660664165687, 810.40288116691465, 810.80645996226031, 810.94080805084627, 813.71725076152427, 814.60833160173468, 814.80587069397279, 814.89656875254389, 817.25859408103872, 817.99595576121317, 818.36403171369443, 819.56565493473749, 820.80490526063306, 823.33042042799229, 824.79232485187936, 824.96696353578579, 825.25844111004415, 825.59856785752675, 825.73643786856496, 825.92367725350277, 830.12601409421575, 830.42969944625406, 830.48896860704156, 831.97844266489051, 832.33317241664076, 834.08807051831479, 835.79234150853938, 836.96436060681458, 837.20265192492138, 837.36994304498342, 840.22843722487278, 840.58240017154947, 840.9921337730575, 844.06115846324326, 845.24281726202605, 845.40252721514696, 846.7668222453724, 847.09499589347138, 848.13881466260466, 848.8811186106642, 849.10784651786639, 849.36954734477638, 851.73811931359467, 852.50056906802195, 852.93617894607075, 853.24186827308733, 853.65329868156061, 853.74357672181361, 854.64419830825818, 855.78774009965286, 855.8111359980677, 856.71288182213789, 856.82468960327549, 857.02955774774489, 858.37990447352956, 858.68358654470774, 858.76972242203465, 859.52358027053515, 859.65152944886586, 861.28547932146228, 861.70756817350821, 861.79072671783206, 861.91604688077427, 862.54879977307371, 863.72822662143972, 863.85090723752887, 865.51564180579578, 866.33553431281371, 866.79555686155459, 868.45872435218496, 869.83856086579226, 870.55791286512761, 870.72096100122394, 871.23344834902832, 872.98902088208774, 873.02049830380122, 873.09051558060219, 873.69846108176989, 874.05027672162578, 875.44698900333799, 877.30405291300508, 878.09449699634729, 878.89363257106345, 879.95445874879863, 880.6500458630951, 880.74688362113829, 880.8426004821556, 881.74866757107202, 882.99783297631495, 884.47135293794031, 885.84696286090843, 886.0152868827256, 887.62178871636388, 887.71106576131456, 888.48894555363995, 891.90615357826425, 891.99028486649627, 892.51480904779453, 892.54924506489726, 898.73086520653942, 902.65028927107039, 903.17770398115158, 904.02373983202938, 904.35212130770503, 904.89768934672736, 905.01919198350072, 905.77432065567473, 906.19650380511712, 908.88510972650033, 910.17731593380142, 910.99109975377939, 912.85914925306099, 913.84965830918395, 914.04355061350395, 914.38852819638089, 916.22658398841793, 916.51981439275517, 916.82036336158478, 918.36437985908913, 919.27688555836426, 919.52154506726094, 919.95088522445747, 921.05079669047848, 922.03147047505558, 922.92839377727603, 923.11414507629559, 923.18007392164145, 925.09706110116599, 925.50308775476174, 926.82467047914463, 928.0152131469456, 928.08656337138166, 928.20025870888571, 929.1539660015045, 930.75097328530035, 931.08153491096891, 931.29377909635946, 932.13122649511456, 934.10854566126636, 934.79291477432662, 934.89849611630473, 936.09376810431979, 937.83834926872396, 938.27362025675984, 939.2874364056031, 940.4788086102368, 940.69430430015495, 941.73890816172468, 942.99474783209155, 943.02130902882516, 943.37093649067606, 944.36478248167361, 945.09971774025769, 947.05925751991128, 948.14829809330126, 949.25734366334234, 949.85150128292685, 950.62694145943294, 950.88679507835343, 951.30885326315877, 951.58351858610115, 953.60017309871171, 956.03605054210425, 956.81949066945481, 957.09532132158051, 957.69983864537039, 957.87124524102774, 958.16411281976718, 958.43602569901543, 958.84096336264793, 959.97867741985556, 961.0272624204988, 961.05074080644795, 961.34481059584618, 961.67201052625978, 962.94064051156954, 964.25049349698816, 964.60281577298019, 965.6303059324448, 965.9951523253585, 966.06333647526628, 966.63496756782047, 967.40642009718806, 967.5652604217247, 969.26140233969056, 969.53793472050165, 971.55052966339258, 971.79249954451689, 972.75868265149427, 973.63811787952977, 975.51423433925424, 978.42897666665772, 978.5075230562968, 980.59739263093729, 981.85808009502739, 982.5432292349185, 982.93228294079074, 983.21312008378936, 985.1292442235582, 985.25943707241754, 991.01123999954393, 991.4081538577326, 991.91203118831925, 992.5099439928581, 992.87393175861143, 993.03080422511232, 994.45857092492531, 994.64790451108661, 995.81452015400896, 995.96953221366903, 996.23776219160447, 996.41700816697858, 996.50773164791133, 1001.7366016350742]),array([8.5407556704017669, 8.8094754702312308, 8.9272337451476105, 9.1716466086065296, 11.479249312709888, 13.482836769530721, 14.335047810365559, 15.252168442844646, 15.639563915968381, 16.226335469572653, 16.318628867026685, 16.340886364689588, 16.754574480828911, 22.133645552904113, 22.254991236847516, 22.675624521589612, 23.74513726994056, 24.846753750086986, 25.911673071662232, 26.494226206294957, 26.637370692913748, 30.348781400275964, 32.699650185233097, 32.759419887366924, 34.034658478685103, 34.774630381793131, 35.720094599605986, 38.665548989184465, 40.753212650899599, 43.150009499291812, 43.256301591843176, 44.076943609119219, 45.25153793151847, 47.425649176552398, 49.837882494646806, 50.266993798921902, 51.032457041707616, 52.493211237354672, 52.637702604490386, 53.03215658058069, 53.513926613074453, 54.090018899297291, 54.196042617941643, 55.101668737202466, 55.515124121554969, 55.686940594438774, 56.453406573918564, 57.658152269907688, 58.040741443647946, 58.078169795181253, 60.416985503584122, 64.091645563037858, 66.24726780164724, 66.514446626567505, 66.915231707317417, 67.153550206500483, 68.499385287621564, 68.523630483926027, 69.213529776026476, 70.916114802112403, 71.178048605231808, 72.215487564196664, 73.864201837347039, 75.401044540893324, 75.665389227217545, 76.983317468965652, 77.406083841134787, 77.494715448923458, 78.006696469669222, 79.140558903533787, 79.628996948250332, 80.881707064789111, 81.420517957870047, 81.456640974972288, 81.66548424025234, 83.621123350321696, 84.811566694033601, 88.34429016181528, 88.771738644748368, 90.351309212101, 91.52858878858477, 92.802741138361995, 93.405299566746493, 94.322559607804791, 95.614733734069077, 97.096092907577912, 97.936060114361865, 98.741265632397514, 100.82264213930718, 102.72011537793344, 103.57012089881991, 103.70879368518196, 104.24520790932141, 104.35971548640639, 104.43560227185993, 104.76311762470068, 104.89376417820343, 107.79555596781967, 108.78995514826845, 109.13222843790081, 109.58948988499681, 109.8994958825776, 110.393546423117, 111.21198012513445, 111.45691207852038, 111.61603051519468, 112.46481156051054, 113.12560703395225, 113.32999112059683, 114.64969937524717, 115.58291418054213, 116.78311375248884, 118.16913626277419, 119.50399143019759, 120.04830172271346, 121.33501085520129, 121.87912582607945, 122.12257346972788, 122.24674587237278, 126.61359110227521, 127.62840093481148, 127.6842353152645, 128.25494655524378, 129.85462389879478, 130.53900279027113, 132.57193846743277, 133.32839377164609, 133.45379076941185, 133.99235614564452, 134.69228750709769, 134.72894910298825, 135.62006484141671, 136.15658467742333, 138.09857066261566, 138.29686576993976, 139.47902651362605, 143.45024084795358, 144.30225417838489, 144.9285783865694, 145.02992131724181, 145.79403012690295, 146.64731190932244, 147.60641538348142, 148.16959981232816, 148.71952038002834, 148.75069755560986, 149.96208180200438, 150.76418686100115, 150.93802266876295, 151.18137265633121, 151.51863172222326, 151.64667277231368, 153.36485759938711, 153.87715030449112, 155.70006305132418, 156.63709354534188, 157.2345804389528, 157.48960197871989, 158.38007112937495, 159.04265505077115, 160.89544905860339, 162.61907345966816, 164.54867299537131, 164.79540271288516, 166.05699049928356, 166.43126767463613, 166.452100373083, 166.66386666864753, 168.1691698381772, 168.29321525944607, 169.40123747947302, 169.80507547749829, 169.92292674774166, 170.81171141670288, 171.22662807048749, 171.44594189205836, 172.55830449620962, 175.33525556971381, 176.15017107631817, 176.37167881821949, 176.45446115642679, 176.81422777716631, 179.33936937927049, 184.76863905660682, 185.87884234250055, 186.01849947979088, 186.52722419181993, 188.03658780873221, 189.65722195234679, 189.78451960344267, 190.64180838495514, 190.88129629861334, 193.28937626870908, 194.06287332384414, 194.76526595091133, 195.37246147001611, 195.76222507223784, 195.80139775725161, 196.44273025512422, 197.15878292303631, 200.79376118540986, 203.53054695490562, 203.63493727353639, 204.21193887703839, 205.17403826419556, 205.50867545361154, 206.28937671653759, 208.78973509151047, 209.17017812672097, 209.5136172173855, 210.03892657839634, 210.66076532454855, 210.97394640699329, 211.42380535768018, 213.60001809016978, 213.91886065515604, 214.98921505977199, 216.53300576423723, 216.78589495640932, 217.54661156927776, 219.63294094384992, 221.47554453468436, 222.1409361477273, 222.61239517084988, 222.84244462764104, 226.32143696949521, 227.7752767209189, 228.02817055903418, 229.49482293946429, 229.54671838246804, 230.7140217548415, 231.63392516337672, 232.1234708715522, 233.44925867768819, 233.49859479451848, 234.06071212563225, 234.26602843892309, 234.45736647014729, 236.1450192734122, 236.27399065202007, 238.23857327431338, 238.83168877835084, 240.7499492693795, 241.27065355585964, 246.04277835501222, 247.67357518919843, 247.8454747278148, 249.187323129844, 249.43143646688512, 249.86257004426955, 250.94311386940049, 253.12561633501713, 253.348427017684, 255.19010997073417, 256.019635792597, 256.72710923642364, 257.69186474439863, 258.0795049657321, 258.58114175925169, 258.8881051714618, 259.13470136386957, 259.25521395992234, 260.04563572853169, 262.80699074933835, 266.43878556602493, 268.69074634979995, 269.66450756958585, 269.78880199772101, 273.45433923945637, 273.5072454789746, 275.6183167682089, 275.66552818030738, 275.91250939063906, 276.55718013677529, 276.64678177336407, 276.92790999947709, 277.0146324114973, 277.71935372331797, 278.36290254279703, 279.2728003452338, 279.34401989972116, 280.07800950499575, 280.41606434901621, 281.92604906811704, 282.04117170346092, 282.17938892408512, 282.61291764684972, 284.80018628384693, 284.87414886074947, 285.68171620519922, 287.22395102372604, 287.47431061089605, 290.46822981885867, 290.61173504625299, 293.92715369202131, 295.11878476093227, 295.79503019112576, 296.98944462426903, 298.34441540763203, 298.96221798247745, 300.57712875583167, 301.77354254751998, 303.28902110162267, 303.92948435850587, 304.62452080377824, 305.7005567679833, 306.65034123666817, 306.8861755236461, 307.90060266569429, 309.32014122175002, 310.05645516374602, 310.38696078044438, 310.62592325116066, 312.19619431616189, 312.35147755486088, 312.97388869269901, 313.127888078995, 313.59009127067355, 314.27323226709586, 314.82038878971201, 319.81951654726726, 319.95409517606384, 320.65511646163532, 321.39013172460216, 322.51192168469424, 322.98038058914182, 324.03766569189469, 325.17856368739194, 326.08391421958697, 326.19885867208905, 327.08861625207265, 327.16809373854898, 327.2192655886908, 327.24007344033782, 327.59048819827495, 327.80530530981127, 333.1031385266528, 335.73591264575862, 338.15817299561473, 339.02092691805268, 339.89524990464048, 339.97640620494928, 340.88239199963584, 341.25586281553848, 341.85564901413176, 342.21756650106192, 342.70185277327278, 347.33355976470227, 349.74456629279189, 350.14229553757787, 351.09717680337911, 351.2914988029807, 351.32294693715176, 353.00600659834595, 354.98810767223188, 355.01728301903216, 355.29906759274445, 356.91370023437435, 360.99570873455531, 363.75291888888114, 363.86104008131559, 366.69146843104841, 367.60231071071399, 369.52237804739815, 371.12063135687322, 372.66724167624244, 373.11256604383163, 374.18004687974906, 375.12941171784718, 375.31187576124387, 376.23841327507438, 376.72864965976527, 378.00087600812202, 379.82302877896825, 379.93712254403067, 380.12709585320965, 380.24678594649856, 380.46341667755428, 380.78608168466775, 382.07804234588258, 383.91777060121109, 384.03415350870307, 386.28202095079769, 386.61637085212476, 387.31738988684276, 388.75660404148226, 388.93659812962738, 391.98409951144163, 393.35742834401998, 394.50077215836751, 395.56660608553784, 396.88974827890161, 398.50846270059031, 401.0778588196041, 401.2839560128769, 401.83122758973764, 402.40762069549771, 403.17239795396392, 403.43113092350092, 404.01835593378678, 404.21688965920117, 404.29461373630591, 404.66047793023466, 405.35675217239509, 405.39006073643088, 405.57200345151142, 406.23201184876223, 406.50321873590156, 407.18023642798903, 407.79725438323379, 411.33302405422768, 411.67872091972811, 412.77885223052783, 413.67183237735082, 416.05633887512522, 416.69204631649734, 419.47703093490503, 420.5362288544631, 421.91393848049029, 422.42742577840926, 424.52021502720714, 424.61074680469511, 425.1236570050516, 426.32283293157764, 428.15382635139326, 428.75122885759691, 429.7546489887028, 430.13071274242037, 431.09862329423242, 433.03194962080937, 433.49270130161472, 433.56714251358659, 434.4149278540479, 436.0773451993195, 436.47648114533462, 437.75253807940567, 437.84063429942927, 438.50648154054318, 439.11088615614239, 439.22082944374017, 439.85339958798073, 440.40420794074225, 443.17240447906346, 445.7371354611729, 448.31429024936875, 448.91250195270487, 449.01585221297103, 449.42821624710905, 450.11194272609089, 450.5337409021684, 451.12328059201138, 451.50364995148811, 452.26800863530383, 452.46094129607411, 452.98297874087984, 453.81450467259685, 453.90098592292452, 453.94082715122704, 454.01135867626971, 454.30381158414525, 454.48493219487341, 455.30321499369848, 455.36628190182262, 455.63141522746139, 456.27582506600362, 458.27643664431861, 458.89155819431915, 462.14652586399592, 464.89933223285374, 469.28932572765012, 469.37364304629051, 471.19733328152131, 472.48631530761457, 472.82665944793251, 473.70492623713204, 474.12844866671969, 474.41622445638524, 475.07845725977904, 475.61983807102956, 475.95270903560942, 476.16307558358449, 476.84957949750867, 477.34495936802108, 478.1375246210074, 479.05641192498257, 479.83836681051048, 479.89517074153719, 479.96268387121523, 480.67842138129691, 481.5057949748969, 482.10029463953987, 482.52528736567376, 484.39163270856085, 484.46837740747156, 484.55274787109494, 484.64244701955499, 486.50359288425074, 488.48621494199915, 492.33538543212808, 493.03997266665527, 493.19189840045732, 493.36002197604802, 494.03823536630176, 496.07708797153487, 496.3598295069329, 499.26785746205604, 500.43228639077, 501.27255290819539, 501.89060017589208, 503.44366606766829, 503.55981109846635, 504.67458164407617, 505.98050461515584, 510.41321839870955, 511.13405541409065, 511.50328112496618, 512.44844954539644, 513.55002094639644, 513.5937829470472, 515.07239102779613, 515.24959706962579, 515.5147171951769, 516.39549789626085, 517.28641612274077, 517.7203893655643, 518.00191597460412, 518.94744345593892, 520.04085373090686, 520.4024772889627, 524.39332152744544, 525.36732521118552, 525.79086193069543, 527.2433871223659, 527.30306742232494, 528.55658880065346, 528.74758331068165, 529.06683827954885, 530.024549881339, 531.48453287568816, 532.18036929147615, 535.15837896098992, 536.13698698326891, 537.1719593841209, 537.68579386133274, 538.05892560729683, 538.82344392166124, 538.89616086430567, 539.58724435948716, 539.72674686869186, 541.25850549649783, 542.01631067604592, 542.69538783203814, 544.05960495940519, 544.40643159055776, 546.47612277292092, 546.69977801096979, 547.79859391706179, 549.41542231100209, 550.67596207549752, 551.25285719850308, 551.79211216765498, 552.57290009223232, 556.0533072077676, 557.46506139460678, 557.91197154082499, 559.50266876890464, 559.61640406203537, 559.69849305874948, 560.5098640495554, 563.26445538090616, 563.8975593514848, 565.74419552869665, 566.38697323452675, 567.06033148955885, 567.35432155681644, 568.35911785243582, 570.45548625496053, 572.74533771126073, 576.38417515230356, 577.06120435850733, 578.08596036835695, 580.30061120040614, 580.85064000618888, 581.05939114897444, 581.2254339798435, 582.45304384824328, 582.85904620902545, 582.8887326164845, 583.97182001559452, 584.46669585672021, 585.11367196783544, 585.38638946503363, 586.02616088452226, 587.16400450701371, 587.47935937003638, 588.26998933082348, 589.62758985778135, 589.68651434633, 589.97032189851222, 592.43915440378817, 593.17531712015023, 593.59130926347859, 594.81573885478838, 594.87976294584973, 595.23448718099792, 595.46707509125054, 596.54131929719995, 597.82784327802597, 598.59292967210115, 600.62485713704973, 601.95488349618006, 602.0336531210379, 602.39110994755845, 602.4912230882893, 602.76176445203726, 604.29486415370741, 608.67064359296057, 609.35418311510989, 609.39556891884945, 609.72891530992206, 610.20813814559085, 610.6925207630336, 612.68620327996769, 612.82775604320079, 615.03112464332946, 615.58973942341265, 617.29834745898631, 619.59553875027859, 621.168128967916, 621.27667454267316, 621.89491744481461, 621.91669135097152, 622.0367540623912, 622.64577836906233, 623.17271794990791, 623.59343172252898, 625.25063972766895, 625.51087580913122, 628.50650335689625, 628.99801029766945, 629.84325577476147, 630.48160159115878, 631.50556001496852, 631.65714350248584, 631.84012939533727, 633.59675855832529, 634.20515165334541, 635.68756977587577, 635.79612866770196, 637.49927408566532, 639.94124506356491, 640.13826895025863, 641.24091953697678, 645.57462005237983, 645.64902634961641, 646.71592157171267, 647.12384835561659, 647.26949159875562, 647.94978215350216, 648.35555709250502, 648.64425720772113, 650.45544979310569, 650.75105064442266, 652.04896547985345, 652.19226146245148, 653.89234414552459, 654.5709173577128, 656.27664804603637, 657.44641207920279, 657.78328287756528, 659.26591456735696, 659.95868775783185, 661.24654841135703, 662.05403655944576, 662.41554378863759, 664.55569749357767, 668.92109027543279, 669.03738787067175, 671.8598598427717, 672.93729920788428, 675.10211363532426, 675.74876147257498, 676.32582897419843, 677.04209403449499, 678.15234992244041, 679.19497587845444, 680.15631195737342, 680.48172453761686, 681.3847076886824, 681.89347351033405, 683.24199046671401, 683.91402794936914, 684.23202995492397, 685.8065318600801, 687.97085899582328, 688.36672421950959, 689.16703184663356, 689.24858025979643, 690.12984366077433, 690.40135544500095, 691.24483272742077, 692.48537927439975, 694.57702384820584, 695.31960251491648, 695.51932288157684, 696.63205010139723, 696.7193413985832, 697.50656251808812, 697.56541487334994, 698.82929895579252, 699.16617939801063, 702.25456213742518, 702.99325682126232, 705.95328772844925, 710.55764678196863, 710.90527370703273, 712.98602298658273, 713.88560079229421, 714.70022085466098, 714.77144681873483, 715.41582629051231, 715.57186908152323, 716.33986812548994, 716.44077889855714, 717.8123851442607, 718.03901245959139, 718.37332277699829, 719.78295522641486, 721.18730197679838, 721.74960814167559, 721.78150055948311, 722.02764334262224, 722.78139303282217, 723.3586007494788, 723.83152332929217, 724.00806727787835, 724.62116966608232, 725.23532763579226, 726.37607181342889, 728.01138767341354, 728.87795626394029, 731.77948907485722, 732.84450162147402, 735.33463698167839, 735.99856753441827, 736.54796787552277, 736.57169979793923, 738.27883932422105, 738.69014638142676, 740.27994000756814, 741.6007633592601, 742.58890524051765, 743.06856124290448, 743.89461764930184, 744.10071476854625, 745.08142973553595, 745.20547562299998, 748.06566488400495, 748.18494933826707, 748.55030914917359, 749.15050043556926, 749.81748845718244, 750.7820562281363, 750.85863196832145, 751.10000348085123, 752.29180457652933, 753.52891653701045, 754.14386423872259, 755.88274492641676, 759.18989871893348, 762.59767372667591, 763.0151937652912, 763.76720886408395, 764.41567873000827, 765.31091755323484, 765.75003120048166, 766.09437026987632, 767.38218557579444, 767.73684612095076, 767.86246042523373, 768.42137947563469, 769.81180609676551, 770.91791591433685, 771.32976689228337, 772.65193791619015, 773.91729265138758, 775.02322565313523, 775.794945936369, 776.00924714419386, 776.35398543094072, 778.72784940022916, 779.03587281711089, 779.72185214976173, 781.9437509009565, 782.83337304123813, 784.87385698367063, 785.28775765939986, 785.56185178038777, 787.01475633120606, 788.72412699213953, 790.87787831688411, 791.68987298060824, 792.14037819184682, 794.80228774469163, 796.86173920501722, 797.47768642622009, 797.63884179003787, 797.85361106849962, 797.91905124225286, 798.12023245527405, 798.67925506574761, 799.40939168218529, 802.35210141923721, 805.95675027243487, 806.05422472167811, 808.70010339610008, 810.60278896295711, 810.7198760483484, 810.82982786671994, 811.77619951633051, 812.74238286417688, 814.64988693585883, 816.16670125010091, 816.68957272536011, 816.94528955930025, 818.92521345520959, 819.02493537895896, 822.06302163091641, 822.19869709187606, 823.42162104645456, 824.06415923318787, 825.21406544324589, 827.44546577404458, 828.04271741366074, 828.53277798369311, 830.79086606729129, 833.45210330955513, 833.76018363344645, 835.00635244678369, 838.10200847992132, 838.30287500221266, 839.36155200104383, 841.20058729876143, 842.79942627554988, 843.32251947745874, 844.01933810310743, 844.35433765823052, 845.05134504747696, 847.04581628236815, 847.50696601396248, 848.10969441121358, 848.29910421970123, 848.31968306259103, 849.20016526633162, 849.51917972556771, 849.58623210919563, 850.34279122441433, 851.1081084251033, 853.52098782696908, 858.21141425299118, 859.10904066365026, 859.97605078350807, 860.28158302335146, 861.18946571435686, 861.97793761018534, 863.39830664075066, 864.11259177916281, 864.78037947119208, 866.69707119406928, 867.05646667198187, 869.25437068894655, 869.40502219296968, 870.29458912235577, 870.74040412866043, 870.80393389141557, 872.55429714794366, 873.92720234986518, 874.43129060177807, 874.99260850961775, 875.05929941420106, 875.30934208517351, 875.85781320877652, 877.37150377461967, 877.9912628398572, 878.43097770875897, 879.74959146843116, 881.24098193348277, 881.79082559657581, 882.04329199422966, 882.2416957311948, 883.36346834652261, 884.63324584147495, 885.08073632140008, 885.59029733719888, 886.23423985048532, 886.55683764981802, 887.30291356084717, 889.37015355806864, 891.04363522271285, 891.99302157945067, 892.07357965591166, 893.82420539929649, 893.90527313893153, 893.95878686231231, 894.76066460643642, 895.49654690179341, 895.94235077241797, 897.57863861534418, 898.05393982382623, 898.4529169921617, 898.66406493711895, 899.31954995579997, 900.35775763991603, 900.82038185375438, 901.13258707263435, 902.98388604428067, 905.34038747660406, 906.00874430003842, 906.48763009430593, 907.12142182112768, 908.72323760271775, 908.79205447157688, 909.23067672754053, 910.01166375262198, 910.69091500088007, 911.02961910257818, 912.58822753125571, 913.6837413478579, 916.91972101239958, 917.19500148263546, 917.37860451747292, 917.56999782599894, 917.87998256130561, 918.48711090979259, 918.97749771232247, 923.68003664042385, 925.58861145055107, 929.90485891406558, 930.94308223206815, 931.34799217164698, 933.1425454464935, 933.85785011879875, 934.1323750082878, 935.38345871473769, 935.69263798775921, 936.21803096873782, 938.11525280949388, 938.33035872231915, 938.38014198890528, 939.11029869275762, 939.62292313318642, 939.80592915214766, 939.91850053396297, 940.18679641434755, 942.27678099299942, 943.67171686258075, 945.28141421184876, 946.5423979425359, 949.3076162721319, 950.03733142669682, 953.39904892408299, 954.73731472418922, 955.14479875990207, 958.10940767214629, 959.81403555697739, 959.85132967078926, 959.88222910156014, 960.80379709378951, 962.12482430055229, 963.17612988229371, 965.18701363921775, 965.4522644829708, 967.08509085731998, 968.05272627951831, 970.38712174483271, 972.70679496229218, 972.82810552423439, 974.75151629379548, 976.42777482600104, 977.02029876045003, 978.09954106259318, 978.73000127238925, 979.86841722271492, 980.00641285208371, 980.45018748681821, 980.50540273383979, 981.32122273618427, 981.67612217256931, 982.08501028167541, 986.95284398714898, 988.38383284697341, 989.95089693613363, 990.47632859165549, 990.6859358712926, 990.93947873613877, 992.6776497948473, 993.75821094517619, 994.3866303903593, 995.47785981231698, 995.59370375347157, 996.81419168786022, 996.98594270064018, 997.73205200276868, 998.90841431844444, 999.53071273118951, 1000.7304691037399]),array([90.091120037694935, 91.144372287371382, 92.210547891354551, 93.109476094681582, 93.317121571463659, 94.270182391682468, 94.501018296167388, 95.882879524537131, 97.016978500616773, 101.41244820283089, 102.60691893951793, 104.19006522249906, 105.5312031918117, 106.01462908837281, 106.06534143943293, 106.95817690391526, 107.02407752572726, 107.0888087191295, 107.40315959036472, 110.39994053003092, 111.19215541081279, 111.40791609453112, 112.41259083384452, 114.31281459939923, 114.85724220056674, 116.18915395659201, 116.88163078956218, 117.53187439643425, 117.57327887935737, 118.52644060658216, 121.99382103506913, 123.74175617504117, 126.88824232991277, 127.54033098525797, 127.66167830046201, 128.46691090831462, 129.95210183541286, 130.0456235874739, 131.52646818071634, 133.65998727270889, 134.12237631433302, 134.18634161551233, 134.59811868886766, 135.44385372187412, 137.09669037403174, 137.11748509872274, 138.75639868013056, 138.84261255830435, 139.77518727962317, 140.85405426467361, 141.47504720929362, 141.92472868474948, 146.53301676323645, 147.27534363228642, 148.04045852744756, 148.66643598265119, 151.3558369691907, 151.97208549817128, 152.6933284253827, 154.90183177412729, 155.03133629161599, 155.76596051572255, 155.95883606047181, 157.39230520206524, 157.7432444860485, 158.53741850413473, 159.75404734377514, 162.53564390036308, 164.50054567005577, 166.96900223870674, 167.44637982076253, 169.472446647552, 172.3144777207217, 172.37745675220475, 172.80818367944099, 173.23777041609179, 173.63861585247372, 174.03706732883143, 177.11386582580158, 178.36926009874867, 178.49465597943001, 178.69406624317156, 179.47271421373847, 181.50912431763055, 182.79074358341106, 187.86827819375782, 188.13673272659705, 188.84528701258438, 189.02614800077322, 189.74668810066461, 191.53706232923847, 194.94292901901366, 196.04003852832875, 196.16960646009477, 197.45319090496497, 198.61535385287766, 200.03766588856129, 200.63953798797758, 200.98114119471876, 203.70723038725177, 205.28166706681728, 205.90422321527117, 206.48865752711191, 206.59383989450649, 207.10109729868077, 209.01750933050488, 209.50629477539263, 210.12038483628351, 210.85064609510295, 213.50141583168991, 213.84574339530738, 216.81346752490595, 217.5013440709929, 218.53942719271029, 218.73265666888076, 218.84399487486547, 219.39614404477297, 220.38621111980538, 223.13999050185586, 225.36900355640111, 225.51129033458329, 226.5487017448182, 227.43197910606614, 227.96782141234721, 228.08862387942364, 228.41073493482781, 230.35000212342436, 230.38640343639574, 230.75191118993868, 231.79267988473461, 232.18457446839591, 232.50587570915141, 232.53739573451764, 234.02626513987454, 234.46166690876319, 235.13394833280174, 235.51832292599329, 236.93644545967399, 237.75246081255287, 239.74342801762054, 240.22122477176754, 240.32006226822213, 240.86051926677604, 240.94092656122783, 241.32036747545169, 244.0035293297224, 245.92800585798096, 245.96881947070787, 246.07294678388573, 246.65757036420268, 246.80406843170789, 247.26763328702208, 247.85271830733868, 248.1154489026174, 249.93495164305781, 250.00635967085597, 252.64613947048571, 253.30323279656727, 253.8359873298246, 255.83525946665546, 256.37061575315988, 260.99200179844644, 261.08615489353684, 262.32317423778642, 262.79105883680182, 263.22922706644397, 263.64889302665046, 263.90508773933692, 264.66321703108355, 265.35975264608334, 266.50131677089649, 267.05598623287636, 267.51867831347005, 267.60396585545777, 271.39671632715857, 272.87612345037371, 274.15682889644393, 274.35388276465949, 276.76714999683509, 279.32982087176646, 282.29369454529069, 284.75584804092267, 286.88612103787671, 287.44156585589599, 289.25353839518641, 290.35213887965756, 293.46227129135139, 293.7677728707036, 294.53938288023016, 295.34658279796673, 295.42254731155793, 296.00309027592562, 297.77137530951757, 298.10140149598635, 298.39795028853371, 299.74512614893388, 301.69236145284987, 302.24556232817787, 302.66009587452038, 303.31729889295895, 305.96257231158052, 307.46062061283294, 308.91871038783654, 309.75894222459323, 311.20576734515402, 312.48770924765057, 312.91403083506299, 312.98701741817371, 317.17004072035257, 319.10447518215028, 319.64807980345063, 320.28986446838053, 320.78936187799189, 322.20705908411435, 322.5371522874737, 323.19781420416791, 323.93170915656088, 324.04171400353152, 325.63927869534479, 325.72485549079579, 326.53246268395412, 326.92636061407927, 327.45519812647154, 329.83172444518647, 330.14455568315287, 330.9413201325695, 331.25033349733235, 332.42912767042219, 333.3548921976668, 334.22441884399308, 334.75544686185532, 335.01220978897231, 336.12333569141498, 336.73285368619611, 337.59019307640745, 338.86588173065661, 344.37176041513942, 344.52236217615058, 344.5919693620927, 345.64392343367876, 346.39868053860732, 346.83497651436153, 346.99229022309964, 347.23898073370503, 347.5625084875191, 347.76128960600033, 350.26843117333414, 350.98889416614173, 352.21228236228279, 352.29924594182086, 353.68952149350173, 353.77121736317571, 354.57847338284978, 355.27727840324496, 356.81074674115632, 357.55208572012413, 357.6782008797361, 358.83566187317302, 360.71142820699311, 361.85702678225999, 362.15063761051158, 362.44105391847069, 364.25733380022552, 365.09976801178641, 365.15529325870233, 365.22528550747262, 366.11648781275051, 367.9357904331967, 368.06514102102574, 370.73643360731978, 370.98125082665342, 371.52006228585128, 371.57537256467708, 371.69675430339703, 371.71849789531694, 373.21671585039724, 373.80563291695455, 374.08114443390582, 374.17094300206401, 375.18618046778113, 376.43236397934032, 376.69962826226333, 376.87279639552412, 377.04301672710346, 377.20935145070109, 377.88365381899587, 378.26570652282805, 378.29423801229586, 379.21360334773357, 381.28334710292211, 381.54965190039269, 382.62031218365894, 383.25441451848388, 383.78367556976724, 386.79126673799976, 386.92057271817049, 387.57207641163023, 389.08050850524279, 390.73700527093632, 392.00196623264668, 392.40735817731564, 392.45431022089616, 393.20711654746566, 396.74279527645831, 396.97266152077049, 399.15549187482156, 399.2916493835952, 399.51694627058811, 402.93614998185899, 404.33316059284925, 407.95437817358385, 410.6317644332874, 411.26183837441721, 411.51663506116176, 412.17580860990358, 413.35716200770707, 414.3163979303539, 416.26571754395911, 416.6884325895607, 419.08057853528135, 419.49196458293687, 421.64680658828547, 422.24446356176537, 423.17289816425296, 425.38209663521667, 425.55916578763657, 426.89444130480484, 427.64808004516476, 428.91262920115486, 430.09048775118617, 430.51006258176545, 431.22467730997471, 431.89889169928858, 433.09107756106255, 434.95988687293607, 435.75140273078648, 436.35947700866592, 437.9479318371138, 440.01519540114134, 440.10762096348498, 441.98086949084575, 442.18795382144242, 442.52581734830272, 442.7294655102545, 445.99362242588381, 446.25210637730896, 449.21942140123434, 450.17627963541986, 450.68490056805683, 450.76903892447939, 451.65550146232346, 452.75516973161956, 454.84852835991495, 455.21353773877831, 455.87808732543306, 456.12375914698617, 459.12397712991799, 459.79590225266958, 461.15357235468883, 461.72035675062745, 463.01933802002463, 463.06338550029949, 463.1309083897317, 463.94920491139015, 464.28146047300248, 465.35250518778753, 465.88653656581465, 466.85255139422543, 467.56958057671949, 468.74440197105565, 470.75116651676984, 470.8053922688328, 471.12430068787052, 471.85640244566622, 472.51415481119272, 474.30473374525064, 474.43365916160673, 475.632304932735, 476.44751072716724, 484.05386214805725, 484.77485758624874, 489.02989744200693, 489.89459792008938, 492.53134032355746, 493.07560881390981, 497.49492584135686, 497.74620900459183, 498.75359221524377, 499.03221526302514, 499.38521395807885, 500.04970625472566, 500.07983478114772, 500.50084012253643, 500.64198417188805, 502.67946821378951, 504.92155851108686, 505.08269581479374, 505.29075856366234, 509.24521931426358, 511.04628424590703, 512.99336054055232, 513.66111166777102, 514.0850513319557, 516.43932473936286, 516.74201540799709, 516.95371856451413, 517.78148676669252, 518.28533786670948, 520.22193202791334, 521.27059923589968, 523.18356395383398, 526.8971873016244, 527.40527779559579, 529.26969678376599, 532.06952512758482, 532.27941675463978, 534.35451462951335, 534.52723265701184, 535.58657911775197, 535.60790989939289, 536.04430741048895, 537.13088563047609, 537.46978990969808, 538.13398560863129, 538.43235454205319, 538.50646875718962, 542.38029293235934, 543.32209900351631, 545.27265450080347, 546.02357820824921, 546.09426840290052, 548.18393232658298, 548.90027740642927, 553.65585317461216, 555.53588357460706, 556.01438298453047, 556.10978742740008, 557.3935449876526, 558.44089693332342, 558.92906949173243, 561.44978189781159, 565.01467719101254, 565.07869307812302, 565.23362288344663, 565.33743541563001, 565.97771250035373, 566.44819461102622, 567.09882193704675, 567.33959572841695, 567.71708005621076, 570.91659405467271, 571.56496182719172, 571.84634738803391, 573.42594410181403, 581.47327872429969, 582.48673015851648, 585.88309582473528, 587.2521636832364, 588.95527903556103, 589.832811702046, 590.09172179277869, 590.31579934460183, 592.79436944265353, 594.54557644516922, 595.13271329046279, 595.18750049902212, 595.26621176034075, 595.45721770092018, 596.85882571007198, 596.94328396361129, 597.08291336762954, 597.27641757624338, 597.55797197851598, 598.91893731049288, 599.18178291104766, 602.3373392312086, 603.5313414793884, 603.73099377210917, 605.29034747526828, 605.52466006063105, 606.54084847131014, 607.04638044456431, 608.01966741146714, 608.35549491770723, 608.67141722355541, 609.76607964607729, 609.92298527670562, 610.63739438608343, 611.91090070260611, 612.37894943505103, 612.53791833931666, 612.84676856355713, 613.10344875118324, 613.80746750330263, 614.51222950730323, 615.54281166365206, 617.8612083331235, 618.20894585213478, 620.22905670823604, 621.18929540197757, 621.6988387558016, 622.82390901371866, 622.91012538110522, 625.86991369958173, 626.7885420752508, 627.0675777300828, 629.01703248281387, 629.19585172452037, 630.74190372409271, 631.39169968448448, 631.79789583365914, 632.47812896402922, 633.20332161512908, 634.16220993170305, 634.37412104009422, 636.33417659393422, 637.14234627097551, 637.36381882364526, 637.49935596215164, 637.60894520225952, 637.78764196326301, 638.65969827361153, 640.45264720067371, 641.76448044029416, 642.48820079251482, 645.71202064155182, 645.89909167115036, 646.57628417801379, 651.54292846653289, 652.01410395836024, 652.17643666360289, 655.43669725511268, 655.93825389494509, 656.44228959773477, 659.32637882633139, 660.60816750271113, 662.02407408440558, 663.16847720666306, 663.21777674329121, 663.27838819740407, 664.02134858324337, 664.67206190701484, 665.15205971352634, 665.47288059895311, 666.98219510670333, 670.46576895657176, 670.82265120582701, 670.94861521689006, 671.27332944934813, 671.69295606869434, 672.72257120493748, 672.95415903110586, 673.97040495551585, 674.9631942220052, 675.49978778008756, 676.4996982052719, 676.89474475428267, 677.65292475655497, 678.55393189192978, 679.09857072530372, 679.16127160887493, 679.66640939500348, 680.00590911818961, 680.91542758831474, 681.21373160887799, 681.23598475637061, 682.82993728881513, 684.42069120268297, 684.64015379496209, 684.67539493195068, 685.32906952589076, 686.60517020281122, 687.25339605994554, 687.49968091761741, 688.01754603055792, 689.11960361924764, 689.17526435243656, 689.53444431823243, 690.9389532749002, 693.12181951495063, 695.08388636740835, 696.10007347511907, 696.70536406482461, 698.28792054620089, 699.29404965074571, 700.75703028880923, 701.24945707192137, 702.65639585334736, 703.94818788461419, 706.82787832449719, 708.79886289223725, 712.18222266595365, 712.56203243857158, 713.11796838485952, 713.9635121779238, 714.15492558607707, 714.68245763437233, 714.82018624954833, 715.07602831260897, 716.34223797705693, 720.71342255108652, 722.01983921219642, 722.70951553567215, 723.02543757200988, 723.32449975087434, 726.30288472647567, 728.0323821516231, 728.26559832125906, 728.63384845028236, 729.71301133049633, 730.09492385425597, 731.30714592195147, 733.62497856771563, 733.96277892660567, 734.58058857418246, 736.14046868567709, 737.73815694689858, 738.11831924529395, 741.59636827650854, 741.83032674334549, 743.51178008276361, 743.54569861159791, 745.55464178654222, 747.35599159818673, 749.39827598506474, 749.83258805153184, 750.98088144353346, 751.61814036934436, 758.52328685014822, 759.80767057470428, 763.02822283749799, 763.13980092590066, 764.12810400173532, 764.33934510129666, 765.66786087746368, 766.38157843845022, 766.7941028180303, 768.14670661117384, 768.36609116072725, 768.88259957306104, 769.34608570158673, 770.25639341037004, 770.98173469253015, 771.00415327470853, 771.55939664124787, 774.124976842553, 774.40431307356187, 775.89194819847717, 776.01302025635448, 776.72207477288339, 777.20618400672572, 777.94371571545685, 778.11962521769385, 779.03915143719507, 780.02803260659914, 783.42489353377835, 785.07928607482711, 785.78814294530082, 785.9770270124227, 786.83711166749447, 787.65585023213146, 788.1973772697994, 788.7195016994151, 790.88508720454843, 792.72520834317106, 795.29415303176586, 796.04938201546872, 796.33181945576371, 796.5271625406258, 797.03601653646638, 801.02554132907528, 801.82776449668904, 802.21744668381132, 802.38119608369129, 802.57344648619926, 803.89241268189483, 803.93334384549723, 804.32954557205267, 805.36635809514746, 806.18762398917931, 806.46900554376782, 806.72105911323865, 807.26050405920535, 807.91853111387127, 808.25140969777749, 808.48851233742096, 808.92984589340267, 810.16180769838115, 810.42314242713644, 810.83895785292134, 811.30638574720888, 812.02498724740747, 812.36505410807081, 814.15581155771065, 814.47779630582716, 814.71577006722384, 814.75957917767153, 814.94885121491757, 815.07273635676552, 815.09348632494959, 817.22388328585726, 817.84690099388774, 818.08013753326338, 820.64592500550316, 820.72181601388797, 822.83513552537363, 823.37937618345529, 823.48093856877358, 825.74191404364569, 826.30936850918226, 826.76025053701369, 826.92978075338647, 827.29983461143763, 828.40927941645612, 830.25098179181305, 831.23545266741723, 833.46673115791748, 833.71208640767259, 834.73902567061418, 835.56538790125455, 835.99173574789597, 839.05449658600867, 841.68309386462681, 842.551323658667, 844.00429486546989, 844.65550402833787, 844.86095666512881, 844.9212234504464, 845.56274662479643, 847.19205931498163, 848.21413946372786, 849.22835889173973, 849.6378715745866, 849.96092319565821, 850.60506638718437, 851.48354539776699, 852.66424362645876, 853.15900476164938, 855.21240587718023, 855.96865781105646, 856.55277157249202, 857.37420381975801, 857.49780330908845, 857.71920308654228, 858.26226580925379, 859.02147061954861, 859.56080643805672, 861.38511306818236, 863.74470033159002, 864.0352084044431, 864.22757921572349, 864.82296536370336, 866.08978774569869, 867.42063952176545, 868.02557051276972, 868.20972535175792, 869.43280040253296, 870.41362777761117, 873.13409111013186, 873.22153944602564, 874.58818786907398, 875.03249862925975, 875.09317695086941, 877.2789149276806, 877.63746347183462, 879.15685664231137, 879.93977481188847, 881.05055264618147, 881.76265034723576, 882.9900361655541, 883.06359310784183, 883.80820478695159, 883.88837190998152, 884.64889497794491, 884.81279277356884, 885.48444865220472, 885.63224564908489, 888.36121351414158, 888.88635664888545, 891.21452497831024, 891.24268708946158, 891.41289611106072, 892.40113457222355, 893.32164760634521, 894.20193052424179, 894.68725374664859, 895.40361804285669, 895.69336392529851, 895.72147526507081, 896.00080268786621, 899.47919650689403, 899.61509974198441, 902.22413938782597, 903.42718964013829, 903.46750657066093, 905.23176436086396, 907.12477966911342, 910.42442238936439, 911.75949268841634, 912.20177869177462, 912.28722127177241, 912.7544737507294, 913.50625917835157, 913.62094153481371, 914.57435965716581, 915.87104132885861, 916.46728068152674, 917.44772363976699, 918.0903128546895, 918.30768458787691, 920.53973654445974, 922.41307125584672, 923.66202380945845, 923.70458980476508, 924.03191245016831, 924.53176927776246, 924.64970492239127, 925.44632571663453, 927.21702086103107, 927.25167351543632, 927.56794742210081, 927.65245447411974, 928.13599900284294, 928.42686409774751, 928.96313006241439, 931.77411794890361, 931.90784890249256, 932.48379297155827, 934.13287056722641, 935.074141201815, 935.89651783903582, 936.85532465518293, 938.49566420470001, 938.61869337012683, 938.76738631671969, 941.7084778073978, 942.23973862903119, 944.05239355348556, 944.85612812066313, 946.18883761218763, 946.84574200884651, 948.89265503805177, 948.91744411391005, 951.62890248445115, 953.04137019725795, 954.65060790012319, 954.86366275207354, 955.00321959892392, 955.19514023820545, 955.33187970193023, 956.89043770004764, 957.12420515274141, 957.55338768988065, 958.80406368380056, 959.54215426028611, 960.89570750968687, 961.29899516537853, 963.47413196340744, 963.99197296415662, 964.12320708806533, 965.49332269499655, 966.59559195308475, 966.89138250306564, 967.87129660457401, 967.96234210295097, 969.0143064198345, 969.54511039320687, 969.84689962833954, 970.46706365002149, 972.31780313077184, 972.65807151349952, 973.42527206903389, 975.10338076547873, 975.16048831622709, 975.965246155758, 978.23186019446052, 978.51751976739217, 979.36064550026856, 980.46270699871866, 980.50460119182912, 981.30825410674981, 981.53084660728871, 983.50085723582617, 983.73015919007605, 983.77367591380994, 986.3538682751032, 986.78120314212265, 987.01267722363912, 989.24453515814491, 991.98322638565389, 993.50283280502617, 993.66873405462127, 995.63390865007045, 996.24184345612741, 996.42984885037663, 997.81632607695644, 998.88292647955041, 999.21290187063175, 1000.9895477738803]),array([54.968163014713042, 55.287643688444653, 56.210101607553369, 56.966585978180248, 59.279111306779356, 63.036793087777255, 63.579974301280302, 63.885566633054118, 65.492919658921167, 66.305369889018536, 66.631680802245029, 67.488808275621523, 67.617528680445574, 68.396633055980459, 68.875209545195631, 69.601409091027378, 71.020641408860101, 74.851217544432131, 76.69737384802994, 77.140500127962639, 77.228319253536824, 79.496633700017881, 80.729074500339777, 82.934145951049715, 84.057960984890329, 84.099101060879292, 85.858892643253938, 86.605895405584604, 88.424391317758406, 90.05992174410072, 90.196315725287505, 90.712128123376189, 91.106336814071256, 92.936483887891754, 95.232312085200164, 95.457997291350253, 95.89056841002963, 96.819572955004773, 97.187678475657876, 97.604691386972931, 98.342987267868736, 99.306549161829594, 99.997216478650742, 100.6568049103393, 101.49190761363054, 101.51842524524685, 102.34037191943597, 102.91018938699361, 102.95429929516243, 104.47758197306402, 107.08069517298694, 110.00385608423838, 111.52360227744475, 114.80140551735141, 117.06472552319109, 118.32865187779049, 118.42006046859466, 119.73026313240287, 120.3426951498505, 121.23655508154388, 121.26927488156521, 122.14270468514079, 122.81118295308859, 123.17808863567926, 123.26528277565826, 123.63398125041229, 123.92272289587527, 124.11953397621113, 124.95757827448551, 126.43262949096685, 126.58670435030787, 126.9769894534433, 127.42990141423044, 129.09172138785573, 129.50032598746162, 129.56588044190747, 130.63626813225915, 132.08016951980846, 132.43150980830745, 132.59143387323135, 132.72001425059054, 132.87710967378308, 133.62149452547627, 133.64286172374651, 134.02920635896433, 135.37437660460151, 135.85340161790381, 136.78140243696126, 136.82305216839706, 137.14704959799187, 138.20809032974495, 138.70793841077642, 138.81458594703403, 139.26976283043911, 139.33671975843035, 140.44232899632601, 142.77483783872751, 143.64079531035367, 144.27302610749172, 145.03999373599169, 145.90921380142382, 146.89300924348314, 147.22921822197083, 149.94789650616485, 150.9649569701368, 152.6231399268014, 153.58083643551925, 156.02791113871982, 157.14889538767741, 157.26665042252236, 157.81159245648422, 158.39630190330328, 160.72899103781234, 160.97163119944912, 164.44727985243841, 165.13223077111974, 166.31292751361886, 167.23717520422363, 168.10205949937807, 170.46482785880721, 170.51487229859885, 170.85386983079428, 171.05799167194809, 171.11792675245687, 171.52253064516876, 172.4229192286553, 173.79306772754924, 175.66970195266759, 176.89785232578527, 178.54204744564393, 179.52052360484535, 180.77904780330473, 181.19676133974735, 182.02558713531275, 182.25377501466764, 182.62024995412702, 182.72058979810339, 183.15445734822688, 183.27493484416777, 184.93679261163922, 185.73189578832017, 185.97544487386182, 188.3419605560637, 188.63580921747749, 191.94704608262438, 191.97174734887994, 192.18423288313988, 193.15625107666392, 193.27042096715729, 193.72071835830999, 195.11616295328992, 195.57515928534798, 196.67891035988089, 197.90210839413186, 199.16057776429906, 199.58113006863098, 200.2004439073938, 200.78810415813697, 201.23664355946636, 203.87145267468955, 204.34265186806689, 205.0924663816825, 205.48632829009131, 206.85276520578782, 207.79742854553419, 209.47142848579639, 210.08004874884534, 210.59132203078346, 212.07904869070708, 212.48756401598916, 213.18121482639347, 213.79845336767724, 213.97980799344197, 216.17104091215967, 216.42376952447978, 217.04273287857137, 217.80993178319611, 218.71100283065397, 218.73202056795469, 220.69865825187324, 222.81443909433452, 223.39253832308111, 224.71116222436467, 228.53915345977609, 229.00683877049741, 230.88151886019492, 235.45453575297938, 236.14783556639438, 236.21809882045659, 236.79086631280975, 237.62821177828238, 241.33061001259659, 242.42492375197915, 244.68217092555068, 245.37017040748805, 246.26930102027328, 246.86102883261685, 248.27956067018332, 248.70120527725771, 248.88151373057931, 249.94094235042078, 250.04257315428239, 255.35241128994249, 255.69470579694257, 256.7259769469868, 256.98634003667354, 259.2673837040183, 260.15859622434147, 261.74589671821633, 262.46989546753002, 262.67136756254416, 262.75678733287776, 265.26577169603684, 266.12914150693501, 266.66594534514428, 267.02336560723086, 268.44757945908935, 268.4924969063195, 271.44622186284056, 273.31378480905454, 276.17059881115676, 276.32534033886316, 278.04041681258752, 280.15163746150392, 280.45967672333148, 281.75999679391617, 282.37028053656007, 284.27687019101052, 284.7933951287153, 285.22331464073881, 286.97135235458262, 288.87995344465583, 289.09924696809486, 290.0393290828859, 290.12237273375024, 290.6092604134289, 292.63112608612641, 292.8104673460096, 293.7919104368284, 294.19448041126822, 296.26049906008956, 297.49772631262061, 298.01202325168845, 298.11228205138099, 299.92888965059308, 300.66745621181394, 301.89648897163647, 302.74089017959085, 304.71548126168153, 307.68589462870824, 307.95534008374091, 307.98129225113911, 308.62823477021061, 309.40085532852157, 310.45812646838635, 312.47254763940083, 312.76845876354577, 314.90237304727401, 315.80765511182136, 316.85945029098929, 316.93831260769718, 318.24454912443224, 319.59820011496936, 326.19911483904684, 326.38938152321651, 327.15874845267774, 327.5316116517364, 328.24403615961052, 328.62241850758318, 330.7434082200553, 331.17269824157614, 333.73547013877538, 334.50750326103525, 334.60349661289342, 335.6755159909348, 336.07567600217533, 337.27620090068359, 338.93070291200917, 339.54910674708555, 340.4367255758155, 340.56767209830986, 341.79212927799358, 342.84268438122672, 345.99927902687557, 346.71301626791444, 347.94065507034992, 349.1597215266749, 349.51680343788172, 350.84021338845855, 351.99582504845279, 352.0769386012006, 352.95798414634942, 354.32013477698177, 355.10370798040026, 355.46432578433428, 359.1737888805099, 361.14688463691277, 362.15571415106103, 364.07980317636645, 365.29314432945148, 366.66416746732369, 367.6518471332692, 367.7349864503982, 369.58534304841208, 369.63564236865994, 369.86679661653903, 370.99333029238352, 372.15165037656283, 372.37213243302841, 372.82615752054267, 372.93257683709618, 373.41903363514825, 373.97750998979387, 374.39091019839691, 374.85539971207413, 374.99910698961662, 376.72135294080249, 377.58242199395528, 379.11314888385755, 379.25153637233342, 379.37815836574782, 380.52927736445105, 380.90469159675251, 381.26865213312448, 381.61697746807965, 383.81554019828997, 384.71955378109215, 387.86612471760498, 388.33627317228479, 388.47759129677019, 389.10729584603268, 390.05082939104062, 390.17191818801166, 393.35439849523169, 394.16380123511959, 394.33413602220975, 397.35678977702003, 398.74368029637424, 399.43348799357346, 402.33988140382087, 403.00000207854521, 403.11253208336802, 403.93444573297774, 405.19024484510373, 405.28654384125252, 407.7826556333099, 409.3575502771331, 410.00341339470913, 410.26574805985263, 410.79482467666611, 410.94234341440603, 411.87341481344822, 411.90879122633277, 413.20036472333953, 413.93370335165929, 414.36210649203866, 415.29786357476308, 416.14444109728606, 417.44786213440335, 417.85209143781702, 419.11486623701546, 419.74082860124366, 420.9664493632452, 423.15214529463037, 424.19478112818877, 425.56998237994009, 427.03970434771452, 428.12069270707963, 428.67470151919025, 430.74278198715547, 432.50767521425109, 434.85989907340871, 435.85025230391295, 436.35989710174334, 436.99726959377585, 438.22619691277913, 439.93154410081843, 440.94054462327091, 442.19116812137241, 445.11019783233832, 445.89622344503238, 446.12179435578224, 446.1649498300664, 448.85098367691546, 449.88240556185224, 451.08770429733073, 451.44096496357002, 455.10435841294628, 456.85858762350068, 457.78265671821379, 457.81697100324834, 458.08798655788627, 459.19713299234382, 460.66420667185599, 464.2411583954152, 468.24923927701838, 470.3611481475661, 471.26788013867633, 472.05225073718907, 472.31805604886745, 472.36171547326524, 473.74168393002822, 473.81890543358003, 475.68086905957153, 476.4555276232407, 478.91744681295791, 479.13922401699381, 479.72983923289388, 480.13559346741749, 480.23806090849314, 480.48246115281387, 480.97939616071784, 481.64436601781716, 483.50093542206787, 484.30234544514212, 484.54559643404519, 484.72851015806862, 485.08117192051981, 486.57435243929183, 489.73851230950277, 490.26790321110286, 491.85683958483992, 492.83685415864437, 496.12531514478206, 497.27113839484082, 498.22766938873701, 498.52097282535817, 500.02538660910204, 500.18531559039849, 501.75287256869223, 501.89399453619973, 502.36154302975137, 503.04894841588185, 503.20410560535413, 506.15326362762517, 506.71947219839228, 507.72760661295285, 508.58845779461973, 509.01701486807929, 509.50131559943827, 510.28746110004397, 511.912251408977, 512.89646761210167, 513.14831376472068, 513.70365114701463, 513.85850872788842, 515.12750962887674, 515.75076419164645, 516.06475607792879, 516.52534746859988, 518.6061944909502, 519.32481146641203, 520.10948901573738, 523.2657775223812, 523.8615790043832, 524.17430864052517, 528.83807153987198, 530.56858326256645, 533.11388979891763, 533.27733657877627, 534.03402748147573, 534.08861778415223, 534.7819152961863, 535.27233648134609, 535.76976433315338, 537.65195298262233, 537.97331178626393, 539.67097939236635, 539.69602542828875, 540.21210402403619, 541.24630186578099, 541.59207712867965, 542.39074741163643, 544.10886177205361, 545.47678773582572, 549.25461367741264, 550.10746620772875, 550.82502427220913, 550.98840929985477, 551.20840108680602, 551.38806684535541, 551.62001152831158, 559.16518688940698, 562.43893272223261, 562.58139342477796, 562.64590148122386, 564.45874370162983, 564.49088728384697, 564.61125395575198, 564.8356507213515, 565.42762705784958, 566.06302718450661, 569.24355909986593, 569.87954854512282, 570.51218611329102, 570.6122804430031, 572.47482612720739, 572.60515216401905, 572.87188781100087, 573.85381058983808, 573.9343310349285, 573.98091528775649, 574.86172425369318, 575.25629221603469, 576.01080473929608, 577.63767013046515, 577.86207512446515, 577.91216467102925, 578.31898226896578, 579.63987959291728, 583.38677774752603, 585.15133368933016, 586.49983168708025, 586.59803151731967, 587.72534678224588, 588.3278172640812, 589.04490837808009, 590.8454931403528, 591.07863466432889, 593.13747994068262, 594.58001487702688, 597.23810213540025, 601.85857230841543, 602.89614229682763, 603.98633591248881, 604.32975850720698, 605.04358581124882, 605.19549526247567, 605.38793799986695, 606.37412728398567, 606.73889907718569, 606.78419213498842, 606.94608559962307, 608.39221953737922, 610.22272944207373, 611.48863373207621, 611.97998393778664, 613.06107054742097, 613.10692874676045, 613.22923589830918, 613.90586052681817, 614.65359775848356, 614.8451144018743, 616.02840492447092, 616.35303859027363, 618.85556567996207, 620.64947229078996, 621.19757587177833, 622.56885702768, 622.8590124901101, 624.08925682980021, 625.7551770881488, 626.93207395515867, 627.81874301449602, 627.85710841445837, 629.43425600948547, 631.32298347208484, 631.53614728108892, 633.34023169030684, 635.49575598931494, 638.34691825276002, 640.57873358469828, 642.26856029190742, 642.95431111769165, 644.07569819136756, 645.67382986548546, 646.26497975749476, 649.48632513104076, 649.85473987851094, 650.16757989274788, 650.21200615061935, 650.6249888303372, 650.84509033404458, 651.10915056488875, 652.67221701983567, 654.00317079833917, 655.14431200976514, 658.69920540760336, 659.74813164472073, 663.04892218271652, 665.0897190213085, 666.50592206682097, 666.90633379707231, 667.62385600680079, 668.25259753711293, 669.73018264902839, 670.10053104491533, 670.24660885480012, 670.27928143907684, 670.37564543920917, 670.51645586542384, 672.15285525889669, 672.91503666034964, 674.81392883782121, 674.92968720316071, 676.83255901252335, 676.97888522374421, 677.36526296473392, 678.69134629733833, 679.80401697787158, 680.72960346639979, 680.89326047788836, 681.6306394277135, 682.27754714313858, 687.15422703890874, 687.34542866699155, 688.9914542353215, 690.23531359150854, 691.10910315192791, 691.13678832947369, 694.80412535646951, 695.42718833498816, 698.23470981839841, 701.0800001670043, 701.14328213198371, 702.33867902452403, 702.87345420219356, 704.05089528246413, 707.00046812354628, 707.73904666654823, 707.91055140174024, 709.94355105004217, 712.90675849042032, 713.29504424587481, 713.37389664097725, 713.59920164525442, 714.29867415311799, 715.33226858986313, 719.58059597829595, 720.94828423134538, 721.56560204311904, 721.8893023955967, 722.87923470225883, 725.05110672183184, 726.24646990603173, 729.48606488525888, 730.78411793187956, 737.0713449231157, 737.2724715867879, 738.92337658264501, 740.75593782864951, 740.83764114601104, 741.65095984981815, 742.40493187137645, 744.78651663081405, 745.05532927195475, 748.34490200158007, 750.40175578441369, 752.17893228089065, 753.05729198594076, 753.93660209097311, 754.29617463805153, 755.45765369290314, 756.65830004267877, 756.99199792213153, 757.94658744221692, 757.99625592964605, 758.5415173845596, 758.84342249126587, 760.453102945463, 760.90654376099087, 761.18012241445354, 762.98518720973777, 765.17620186565, 765.39300783767612, 766.31836798777374, 767.12858857325182, 768.0708780981779, 768.78441983978325, 769.40182234323561, 770.35602706352927, 772.11522886495061, 772.88749035790693, 774.21579307869001, 774.49110122760339, 774.7040427098292, 775.06169035211906, 775.46843157216983, 775.56706327211884, 776.45881099645237, 777.00505330956901, 777.03529383050568, 777.62818703261223, 778.59273138209267, 778.8708938710065, 779.66163928312289, 779.7980544256792, 780.74655548039505, 781.80876257475393, 782.13747404450362, 782.86494447887196, 783.19680220838097, 785.5378871222722, 786.35805564229065, 787.31428182900538, 790.76385654323406, 791.24902661353769, 791.97155208057006, 792.71771808231711, 794.00974360060877, 795.19758275588083, 796.65507831819582, 797.72289677626907, 800.06646092505355, 800.99547061347073, 801.16812315887989, 801.91911437169222, 802.0150959693101, 802.85520729218342, 802.98087627970904, 806.15145817170128, 806.27225978631327, 807.27028370841845, 811.19386855571918, 811.61648921320102, 812.39647518273648, 813.8208280630837, 814.79318490339847, 816.62315740887345, 816.70992566735686, 819.01570834168422, 819.86485699815626, 820.17101412823718, 820.37971216351514, 820.93392895727379, 821.85666193856866, 824.16840984824978, 824.54823763013371, 824.81205182873418, 826.34694914921158, 828.62506436620572, 828.88314532519394, 830.18119154499368, 830.27816254035974, 830.51884602829648, 830.62195836927378, 830.96576206258294, 831.30130104031105, 832.74753504504361, 834.31536913951675, 837.26809522114161, 837.59846105126633, 838.65216175747082, 839.49099418880439, 840.02851306337618, 841.00668595786033, 841.6823129083723, 842.96971862682858, 843.30848747949926, 844.11779841641351, 844.14445808542553, 844.19444602125657, 845.30967176589309, 845.40298017774796, 845.70660839295306, 846.1116238458942, 847.4371195797878, 847.54598147709487, 847.74326223345508, 848.58423529538788, 849.24247250634198, 850.89715498271153, 851.05270928450818, 851.38273282128239, 851.81123314486672, 853.30777892958668, 853.9122046947848, 854.75979158756422, 856.47375902641522, 856.95069603277477, 857.49851923414599, 858.52946756755432, 859.05121322551531, 859.18339839129749, 862.87610587891641, 863.92292456395205, 863.99413209790691, 864.22971764213992, 864.35814096380591, 864.7306117978668, 865.43129437367213, 867.3120987011788, 868.84942984568193, 869.28694466157549, 869.69116034177864, 871.48188882166892, 872.3085142281285, 872.90681237902004, 875.04119476084031, 876.60967099659172, 877.34258491878199, 878.91074467236604, 880.33200570270083, 880.80084607523042, 880.95990372546578, 882.34314310343996, 883.78202382283609, 884.0456531157497, 884.44697585025904, 884.81267236658766, 886.2296514535268, 886.49702727145188, 888.52293994634476, 889.04864187081546, 889.66597575593323, 893.95846689632697, 895.29383770427023, 895.76798835314719, 896.30463937221236, 898.21466380330867, 898.94020831995783, 900.11923068469093, 900.91622970546973, 901.66484451380109, 901.91309960468277, 902.09567355754825, 903.9931548822791, 905.13197161927906, 906.46530187153473, 907.8493651320731, 907.96053190458895, 909.39879753728212, 909.96506802081558, 910.4396271910615, 910.49774613833881, 910.93529544563, 912.24110676265968, 913.8632068700565, 914.39230735926014, 915.7491690039858, 916.95282668483912, 919.12969513383644, 919.23017741632259, 919.37726565038827, 919.46658997974237, 920.6617069722322, 923.40716276645162, 924.45428576089273, 927.28389014734273, 928.62981186603213, 929.64664827388276, 933.1647191332537, 933.62006839562707, 935.80677298239675, 936.45393646670607, 936.76466871503237, 936.78776440128854, 938.44578773049466, 938.63961871770789, 939.18462578027118, 941.1823592318384, 941.84242955789102, 944.49933355912822, 944.62435118100029, 946.77958527002909, 947.32220480443823, 948.53955907583054, 948.66864978813953, 950.83110477067885, 951.75164732644464, 951.83142522414016, 952.35381424670356, 954.0044321071457, 955.09616687420726, 956.67900267281448, 957.32600950284575, 957.75709170211951, 958.4650441850157, 958.49392186127216, 960.20446393094164, 961.3103760218263, 962.3580787008292, 963.66991830427844, 964.07994615251573, 964.98168397855204, 965.08049567385467, 965.10978703718411, 966.61347187610068, 966.77554390379714, 966.84393208205938, 967.31332401479608, 968.42538543375417, 969.39653301019018, 971.09237786127824, 971.1417672705436, 973.5312959536692, 974.46603752290787, 976.42803541760986, 977.30556444564036, 977.88910265922993, 978.12247490390985, 979.14779605786089, 979.45265213561242, 980.59708284165492, 980.71889972324936, 982.27700591828807, 982.46292185744551, 982.77518173580756, 985.97935184558298, 990.5438565684284, 990.70414883870035, 990.98806487923184, 991.46499519076758, 994.2203626914943, 995.40384888418544, 995.55542893768688, 995.91284016345548, 996.2040104536735, 996.73447344267333, 1001.1390239373973]),array([79.143608985992913, 79.757456472899136, 81.357175525282983, 81.402596783152291, 86.451601263909538, 87.855925236797731, 90.515736900876689, 90.809119896391636, 90.913262500334227, 92.151490114771221, 92.494649264871072, 93.213723536159776, 93.494099162058532, 93.954867916155507, 94.885064824795805, 95.232913755415666, 95.328247645126552, 95.9262036332496, 96.96979632967458, 97.902420066075706, 99.133847501486144, 99.668910237011659, 99.731208628559912, 100.54875344286647, 103.06145350779437, 103.34978975770578, 103.96939810556145, 104.78251856730333, 104.98986625915285, 105.49323308707393, 105.81442144090765, 108.56043339818204, 109.93069735425676, 110.20243089033782, 110.95882252837526, 111.53555086875274, 111.95029959758091, 112.00332083441967, 112.76211657561899, 113.16528072842863, 114.80815136017679, 115.21899428753449, 116.41964997393532, 116.49656008041067, 116.56371876313466, 120.49749559272391, 124.63774407544803, 125.38719111696135, 126.30522744825217, 126.59916486555835, 128.10561542759962, 130.26091865661894, 131.75390644107111, 135.4850160361442, 138.04975374744936, 138.07143404771492, 138.46540831985851, 138.85600536761501, 139.29204744034772, 140.21164934835994, 141.49415848983926, 142.30939051814195, 142.70530949876883, 142.82743368848705, 143.23580248663771, 143.4239269231343, 144.84303245079678, 145.00289579479102, 145.5731966535981, 149.49238297314378, 152.57177246332557, 153.52676300131856, 153.6671499215673, 154.18765055122051, 155.02527072900637, 155.44313676818194, 157.69130288356072, 159.2390446422697, 161.12122799956722, 168.77409734814526, 169.41539976769985, 170.68416858169783, 172.79241044058267, 175.44675771674656, 176.46266275452211, 177.96267083056003, 180.43987635624413, 180.82096362728049, 181.19299216275979, 181.25550391618518, 181.59936410069071, 181.80573926417568, 182.37728230145132, 182.42376276484774, 183.46848268985346, 184.0721489809041, 187.17062056474808, 187.78921472644947, 188.11584508499809, 188.97960300455674, 189.77012447247111, 191.67906030193265, 192.18154629533123, 192.57882090528835, 193.81308283445452, 194.15138923086192, 195.36454380323335, 196.01739567092761, 196.78708375261374, 198.65380285265928, 199.8874461123612, 200.38604842531578, 201.35542847809742, 202.44706221495727, 203.18354310179043, 203.58333413544244, 203.73437088255989, 205.7744934287158, 206.80151972313917, 207.28053547850814, 209.15224185897719, 209.59272716082179, 210.17920680926861, 210.7657523549596, 210.94542119355998, 211.49665734218482, 211.73217393382006, 211.77901089690985, 212.81840208825218, 214.53926111757096, 215.16263448033166, 215.18691604818005, 215.56190251555637, 216.60276141860433, 217.88166298043171, 218.43615581728528, 219.09602399618601, 219.59019165841687, 222.11438123412569, 222.60570293536352, 223.24534900130885, 224.17647283458973, 225.75821114606373, 227.4758979361138, 228.59154550230684, 229.16529801624006, 231.13804118657805, 233.36358928620376, 238.29014611603151, 241.83043339728556, 241.86569477335675, 243.65872918914803, 244.53938072382527, 246.60374024517819, 246.9360670950563, 247.94929917107527, 248.04868330626485, 248.2586095848047, 248.61203448212385, 248.69383093280862, 249.72382223911922, 249.78577459436897, 252.69659584182648, 253.69940243995657, 254.61839896835161, 254.72492655441658, 255.26383999719371, 255.71847756987205, 256.128117952428, 257.25651039944478, 257.44583655168509, 257.77595455484425, 259.24417504222913, 260.78159651981008, 261.95368509329637, 262.21491229898618, 264.63791987234401, 265.49338129981311, 266.57058450742318, 267.37415514883122, 269.75231335289851, 270.20389282545091, 270.36642424529362, 270.49990895812266, 270.69260063825124, 271.42080178754867, 272.12408318384183, 274.95552345776474, 275.01634661565885, 276.73054691314064, 277.32596967896899, 277.58859391523742, 278.04998350179062, 279.48050125947594, 281.05809808705044, 281.19495498503875, 282.73030379033179, 284.77531346111482, 285.05775608931378, 285.57024273621846, 286.68059540660624, 290.9308322761965, 291.80087383136447, 292.18009207322211, 294.40657700458723, 295.64440085371626, 296.95330183935357, 297.57001875996519, 298.69810087612211, 299.03362384213807, 300.29340135611989, 302.15760228519122, 304.92675760323664, 306.47856584163259, 307.16608247188907, 309.64788498754399, 310.85208619572444, 310.89875363210177, 312.09395940080435, 313.21089515278197, 313.51838013774716, 313.71786662142426, 314.60757275334083, 315.78631886364093, 316.08129213841499, 317.48130115179185, 318.06134965841028, 319.14057124556876, 320.45057169033902, 324.30064946927484, 324.51159171952827, 324.98167900905224, 326.0364039353401, 326.14382503419716, 328.47156855763103, 328.87380701658469, 330.90908816395245, 331.99640997748656, 332.07978732650599, 332.34544876720372, 332.97483364154385, 333.22097533350711, 334.0206607647757, 334.09845638471802, 334.74530872492755, 335.40134267468443, 335.94801536053171, 337.7927878930505, 338.9913230666092, 339.11943023434782, 339.54400905848058, 341.02273627892214, 343.38149321631983, 344.36817082354042, 345.14932615435202, 347.70784883181091, 348.0230338696785, 348.12033481563708, 348.58692665592872, 348.80667976296309, 349.03198696082131, 351.20552909422645, 355.44003426933165, 355.85614578842211, 355.97032576737905, 356.97118371889218, 357.52440891767804, 358.27082880862559, 358.46867999307403, 359.56680912501332, 360.39853205435196, 361.12907502308968, 365.28792183809293, 365.70558743523833, 365.81950718719173, 365.88391925045784, 365.99140398489834, 366.13070699417574, 366.31943360114383, 367.66053315330896, 368.56210345911381, 369.11030356246653, 370.42822338290944, 371.59573942906559, 372.12018456082973, 372.877965984284, 373.70975483060596, 376.71190573761061, 376.9867046141278, 378.21711154508336, 378.72541746192371, 379.17789627800244, 379.88194770490213, 383.9742359712896, 384.4592921907053, 384.58789234172542, 385.18604533545459, 385.2167045629314, 386.24313955289796, 386.2724254958826, 386.63594074029504, 387.07831999722021, 387.5772639634867, 389.58990492651986, 390.56310192334092, 390.74630618603084, 393.22326242653969, 393.8371244673063, 395.41446052435816, 396.64440951163738, 402.75699613702506, 402.78517368490401, 403.90013748971751, 405.59192211929565, 406.64630294093979, 407.002776893315, 407.91504936879011, 408.12878148199974, 408.23390062133223, 408.94724099279387, 410.63361481408094, 410.81973695759586, 411.03943147096959, 411.65955868316405, 412.16710374287197, 412.56946262960025, 413.13716753818824, 413.82080899852735, 413.89992278175106, 414.51175355538766, 415.34006647711573, 415.65969114039831, 416.31694737458463, 418.3935717641782, 419.26309055299095, 420.13363446024556, 421.69770204126394, 422.58851918845681, 423.27150933967135, 426.43352753729721, 428.42035246077802, 430.2380650172276, 430.27319288153467, 431.33443730879992, 431.48050512299449, 431.97760806682362, 432.03611515763384, 432.63519909896763, 433.0022558185467, 433.14269300666723, 434.28937406951212, 436.21741564563325, 438.59446215605601, 444.93075135578852, 446.14548507004162, 448.08773384541104, 448.11049410034229, 448.35526697356249, 451.0412802481963, 451.74283850946364, 454.14014169836321, 454.23014831886519, 455.6902987810758, 457.70939998026762, 457.9326663745386, 458.69761670963072, 459.90291490669551, 462.00207844782477, 464.19621087563416, 464.98995263652034, 465.45168477888461, 469.12271711508089, 469.87765120325594, 470.34325199597725, 470.38935138390798, 471.84119208677464, 471.95938385180159, 473.25231320772912, 473.33699323383598, 474.18343601801973, 475.77749225918001, 476.64027690500342, 477.05355051107489, 477.20328732623904, 478.8310430814733, 481.31442210486932, 481.39441267603854, 482.00344014754364, 482.31130018951376, 483.02876480014061, 483.1795352251458, 483.5253543772177, 484.23062366134576, 484.77043148704865, 485.07290227231522, 485.43995391680784, 486.78682374039579, 487.5913399356927, 488.17753188824997, 491.07433789048855, 492.15913905479118, 492.75498022332539, 492.94171013461488, 493.33713486120888, 493.4737765342058, 494.24390264406026, 496.06674133267956, 496.8121596343334, 497.76053050541555, 497.85723034921585, 498.54503705438879, 498.60200293352472, 499.06102801663275, 499.36876717851015, 499.57068669915469, 500.58209905359115, 501.41795317641635, 503.56605419076567, 505.36055166673378, 506.37307898355868, 506.81025897235713, 507.10522945871605, 508.80274046887143, 508.85840386725255, 509.04935027494514, 509.26712111049181, 509.29845400118597, 511.42166979058584, 513.57889384800433, 514.80244485343121, 515.39043100457002, 519.11404646684309, 519.79527789541407, 519.8344850370014, 520.14263608134183, 520.40635073251531, 521.3279767406832, 521.47383236597682, 521.60156743356367, 521.94936172900952, 522.43803475635173, 522.92248175781526, 523.38894458622394, 523.99898338291894, 525.31496010064154, 527.42026514564554, 528.25181341498319, 529.49944397001639, 535.85684636686949, 536.15593461996798, 536.44446386845675, 536.92284384266316, 538.65270490044622, 539.32596043969147, 540.01114977617124, 540.1006560207619, 540.94104383813828, 542.07489834201897, 542.40230900512847, 543.35198419601772, 543.45593846286658, 545.07016030312604, 545.67505461286498, 545.9957437948442, 548.55690737912869, 548.9538315297533, 548.98879356526686, 549.45714552634877, 550.32722846359923, 550.4186246913539, 550.57142417553268, 550.70324554742854, 551.32116186843814, 553.55946191266219, 554.55952148904373, 554.69027702294534, 558.10566831943731, 561.07051646265393, 562.62675139539374, 562.78659450553664, 562.98905534446919, 564.5931742534824, 565.59221868859368, 567.09698713828823, 567.6053757366119, 567.72445303361462, 567.99938453828111, 569.30335388617209, 569.48322955689036, 571.96812735707329, 573.35904964665917, 574.23579302142355, 575.34394147525904, 575.7897614765094, 577.44334418407061, 580.61628705737121, 581.149588515613, 581.73044347082009, 581.9033114004975, 582.20086843767922, 583.6500547452041, 585.01312065173249, 585.82675444607185, 586.84874335930203, 587.04718435102268, 589.8338066762816, 589.91680302429211, 590.85591683762311, 593.53279954519599, 594.911862232413, 595.01141823714249, 595.5733172026363, 596.01198581639687, 596.13027449763217, 596.42650964586767, 597.22839012986435, 598.50574446726455, 602.81298384608328, 602.89604412067104, 603.00768917177243, 603.37011090509702, 603.58245978419927, 603.74341581424687, 604.32367985041628, 604.51288510534846, 606.24176781900599, 606.29797468711865, 606.32050992472205, 609.08045853115891, 612.08906965861922, 612.80233337331595, 613.37761871515465, 614.16891532220416, 616.280654348138, 616.78541875063615, 618.21209868019446, 618.90309808723521, 619.68318350629806, 620.98509434559776, 623.35230127096622, 624.11970281547258, 624.57406606073596, 624.97831281570336, 627.2836593415517, 627.39585724183041, 630.04253912418744, 631.13755453208694, 632.09118199220904, 632.14464388533452, 632.82597133246736, 635.36610123345997, 637.41997156111756, 638.71711014784898, 639.05998554608732, 639.65213460248924, 642.86784835383219, 647.43189023199557, 647.75202688949287, 647.77996999727918, 647.92125536126593, 648.05673605823256, 648.17477380531841, 648.72727699482471, 649.47044727042464, 649.82258024201258, 650.68560204505343, 651.01976692131257, 651.66145024273692, 659.54144759019152, 659.7389184691591, 661.21594067114893, 661.42101346211655, 664.07688002523116, 664.18819525170511, 664.7272482332753, 664.76391140400051, 664.79411549145823, 666.10383656908641, 666.60638961566485, 667.170830391653, 667.54698741483446, 668.22834812195072, 669.67549531910947, 669.7284209046428, 670.89138649537176, 671.20456435369817, 671.71955636117457, 674.21919000720209, 674.91860457640757, 676.07067619465806, 676.76323019677272, 677.47409179186093, 679.50186309888807, 679.71386307164357, 680.49172088144803, 681.57484838061464, 681.92544522935816, 682.21375377740708, 682.4291005748621, 682.53257640747825, 682.85836954131821, 683.63056798430728, 684.50451244733119, 686.20752319354301, 686.24276834304169, 687.36318590085909, 687.72321902207273, 688.20996607466986, 690.18571267358413, 691.90042430815004, 692.61667345779517, 692.98036336169775, 697.47318966461671, 698.30047826902137, 699.39557534974176, 700.46300342760435, 701.67544898221331, 702.79905775894429, 703.03214603081824, 704.33336436540594, 704.36883233559638, 705.19352961270306, 706.78655537650309, 706.86844786645861, 708.20541815253387, 708.71356870130262, 709.06445525053743, 710.13040330355886, 711.42996576505732, 712.31607151190838, 712.54159800367393, 713.07767129367096, 713.15624557525791, 713.790968512929, 714.29478552244643, 716.43574252292422, 716.82346441932282, 717.6840148726908, 720.80319938714467, 721.09976030858707, 722.89923204302318, 726.1108723409086, 726.19206137450271, 728.75084373668085, 728.77750004551876, 729.42266483212347, 730.12262251797858, 730.92898252601901, 731.17581367098478, 731.21901662866151, 733.84096650543268, 734.32958452992386, 734.46545394863017, 734.7651571374912, 736.87479843111691, 737.49781340792072, 737.78138631299896, 738.05697486128759, 738.09439519785428, 738.46666814008813, 739.38080924839619, 740.58860300056654, 741.13937885036728, 741.22353178278286, 742.26125964488983, 742.56368012003827, 743.17871138353905, 744.32633631970657, 745.9551343515551, 746.00653523293158, 746.5822931867084, 746.79173900976298, 746.96249133402625, 747.13049179765824, 747.66891812478946, 748.72322094071581, 748.76825000793883, 748.84680951359735, 749.88613337220329, 750.03903652355109, 750.44632686333648, 750.92184413133737, 751.92796707009961, 752.30962892543027, 753.04126266569665, 754.46520467441565, 755.30082969153329, 757.78450631422686, 759.01023761490171, 759.17481008526465, 760.10305070093227, 761.02584440710075, 762.17365952048021, 763.69004121813452, 764.64673838151782, 765.49122886006955, 765.90833533957527, 765.96635974041067, 766.80345878944502, 770.76435932045081, 773.07395874267934, 773.72875428921725, 774.01073675746977, 774.31191084033389, 776.39904020305698, 776.75140096260509, 776.86615574489349, 777.21870601513899, 778.06313060342131, 778.5943774983067, 779.00710868800445, 781.5283617928327, 782.89456400354391, 783.42472396424034, 784.91503962738432, 785.13540734153059, 785.70616640086803, 788.08845915019663, 788.41709993088728, 788.91167737982255, 790.86650788266513, 791.56438639324119, 792.76342639644633, 792.84288216578341, 792.9045883329652, 794.31977399673542, 795.85591122921903, 797.27543463160532, 797.36459864078267, 797.66018182936546, 797.86650502026237, 798.4576819573947, 798.6479119564267, 798.80801086959741, 800.79609857569017, 802.37555957506299, 804.75877907641029, 806.45051281767871, 807.01734953935454, 807.84205696136871, 808.92650895977602, 809.96739720534401, 810.21117966579732, 812.22846018515361, 812.38286821309214, 812.40841583923373, 813.56020157724981, 813.97031016791925, 814.45359059418888, 816.52037723691785, 817.22805942497087, 817.35440227102856, 817.80568653689329, 818.56178759318311, 820.6790851382134, 820.96715996625198, 821.76989862408016, 822.30351175741328, 822.47147159236556, 823.03491903263455, 824.31492362649703, 827.39419916682175, 828.60314235543854, 828.82547115111902, 829.21032052209728, 829.42659089138738, 831.97729794022553, 832.19280496653846, 833.44855300304914, 835.79795064126154, 837.44414406869942, 837.63584226957255, 841.43850335955938, 841.8535110062877, 842.82070714468409, 842.88453349308668, 843.4472916259059, 846.60402929792042, 846.67444431426827, 846.76565485725928, 847.55042510197779, 848.11340208356205, 848.27665220173833, 849.08111753101423, 852.9194594668561, 853.78280255390234, 854.49691137609466, 855.76928547138937, 857.96891380050909, 858.72232500416055, 859.07867176332718, 861.21599829506431, 861.34450447926702, 861.91138210004294, 862.82572443122376, 862.88923151448694, 863.00167941449286, 864.03825399834363, 864.53379597292587, 865.35486006422991, 868.70198188523477, 869.95753955669488, 870.40631736028377, 875.39813119036853, 876.29675177387662, 876.73798722309721, 876.86871327114727, 877.68259305086087, 878.26633695507928, 878.89666783427651, 878.99758716483404, 879.1494707302536, 879.85470169317318, 882.81652940640311, 883.19970461708419, 884.88745889322797, 886.23586072356056, 886.41011520832501, 891.69076320946317, 893.4257740735236, 894.6325182050324, 894.7791691308862, 895.67117250699312, 899.71932756233559, 899.80458118915851, 900.05870539673856, 901.19348144446462, 901.58697323241211, 903.7623097746183, 904.48952869936397, 908.49662819953699, 909.2120378739171, 910.57539461723854, 911.04037159119923, 911.39718922872589, 914.37003714486275, 914.69928933529366, 915.45742363161946, 916.07461321481173, 916.31916903282593, 918.5239992794759, 919.06792331842689, 919.27343020477042, 919.61211496644262, 920.89158952070477, 923.59580289227097, 925.71415115746049, 926.54886628687211, 926.79709991444167, 927.42091710395607, 927.74427245523793, 928.61207909686868, 929.1286985025182, 929.61290267460913, 931.01775118633373, 933.67619622955942, 935.16587757014497, 937.40660715927618, 937.98446294020164, 938.2224037752535, 938.5925682701959, 940.14971235097539, 940.40040936719765, 942.70684475252551, 942.7826723840318, 944.06499485567383, 948.87241271095127, 948.96938769825465, 949.00001482202765, 950.047941391981, 951.21801468007459, 952.1274042983033, 952.72140069503348, 955.1444723952194, 955.2047772656216, 955.24059062334265, 956.93423941975698, 957.59586252859094, 957.63901460512352, 959.30721503677182, 959.34219402444887, 964.39192037868077, 965.35932429186812, 965.43305260523937, 965.66354436492043, 968.02640072325585, 968.75050055173858, 970.22632796643836, 970.28030988559465, 971.24332372177082, 972.62186330946463, 972.86678853926912, 973.91196145214258, 978.04978327854383, 978.58398593916343, 979.5947556654844, 984.56967620434455, 990.14112924126664, 991.45386355084827, 992.90074073336871, 994.94439706082267, 999.15331889516096, 999.24009685440444, 999.9227089039847, 1000.7771200191987]),array([79.757979888985375, 81.270421179878127, 82.949704303850837, 83.306423200435489, 84.464581382507561, 85.18109915247507, 86.376937908226708, 87.505300402039765, 87.792540554857425, 90.027027606139754, 90.630531102022474, 91.005106075303857, 91.391357543370759, 91.471408555474369, 94.018295260714126, 94.315654143473623, 96.082067733990911, 96.17645431176463, 96.39581026872122, 98.494601521346723, 99.976816294485786, 100.62328196885819, 100.96931506030734, 101.02470582202939, 102.62249260238204, 102.78009660444143, 103.51305421150298, 106.29762234075856, 107.1104965850856, 107.49887861042043, 107.56461545261011, 109.11055989227773, 109.34025974662595, 109.40515964959469, 110.89880108562681, 111.46184932277329, 111.63291772227832, 112.988088332252, 114.36736933532426, 115.6449559633423, 116.62325310788462, 120.09055363743978, 121.13119528777237, 121.54426898118878, 121.64699287462501, 122.19029904678341, 122.93773603100634, 123.56074068024402, 124.51580388099474, 127.49565202671415, 127.70517544549232, 128.05606286547942, 128.75698348463044, 130.513619625887, 130.74303515839884, 131.34817125971554, 131.41824230446917, 131.58221297416279, 131.88888573869883, 134.09905596492283, 134.66372023068234, 136.41367403696341, 136.80311505179083, 137.86821236572627, 138.50969833590327, 139.9211250652283, 140.48759735263826, 140.84490900942239, 142.05045629910819, 142.07287868281517, 145.53510197533856, 146.3353282760188, 147.75368203287061, 148.61838611770034, 151.97300415652242, 154.80761402587962, 154.98487001735987, 157.03474819347818, 157.28217199144706, 159.666009795816, 159.77835721887558, 160.48883241604671, 161.83734424038136, 162.09990097443884, 162.64999384496079, 162.88561406489865, 163.9230647292965, 164.99772350750305, 165.07706755060664, 165.16826142387166, 166.11852689785042, 168.61436502569271, 168.84148373219946, 169.66731774289821, 172.05002081155561, 172.79317914614799, 173.15385820374081, 173.93889161720534, 175.32428948144272, 176.52231015837432, 176.75995259398661, 177.2035103436653, 178.10455911663212, 178.17197400377199, 178.72996649930823, 179.30722663063355, 179.35886639300062, 180.17228445270322, 182.83551522518169, 183.79144550824805, 183.97301876143834, 186.10930887811074, 187.0916962379176, 187.4845467721824, 187.51647813189498, 187.97571644460987, 188.24510846019675, 189.26052044673986, 189.80868376553869, 190.29213913480717, 190.95481215020382, 192.0704310570928, 192.25191643747377, 192.31042578201215, 193.59888365834632, 195.31994230515068, 196.49002485352918, 196.54147872986491, 198.01283436662564, 198.18344374638448, 198.37730800602856, 198.9374201146272, 199.39225991145167, 202.26315159892133, 202.77017985394403, 203.13895981597278, 203.99727731131759, 206.26585952832554, 207.74935356946898, 208.35092605166321, 208.67948315638668, 209.70349915898348, 211.93978032194644, 211.96387670636528, 216.02111232469721, 216.40490001205009, 217.71447475616162, 223.69956985273723, 223.98017052090347, 224.51733504846038, 224.84611428653398, 226.32983334303188, 226.4434181152387, 226.57493852902084, 227.77001020655354, 228.7776844451372, 229.08403129348699, 229.43233365095111, 230.15494422877103, 231.93543165748292, 232.02008212075859, 233.36674517907522, 233.42912725081672, 233.898423237092, 234.24057775115205, 234.71091102369169, 236.2978297213516, 236.95296079728325, 239.26326699172083, 239.82435990235211, 241.77953309539055, 245.92377892273154, 246.11567431945429, 251.09748473505906, 252.13227299548774, 254.59966328757508, 254.78817274193023, 255.13908424111406, 255.94125277882864, 255.99592450884037, 256.0627536239482, 257.19467810036008, 257.32373369743834, 258.36298657879155, 261.55679064095261, 262.48959257677552, 262.65306346192801, 265.35917045174483, 268.13907631009107, 268.54361959577545, 269.78349240613198, 269.84269279828749, 269.98012667288111, 272.6059989951159, 274.62209920205248, 276.58146000689374, 279.3647480908021, 279.41732169851304, 279.91386495756217, 279.97567373023509, 280.14053142299952, 282.32924779706048, 283.93323362751852, 284.53986102348375, 284.78222735498878, 286.6148655979822, 287.21894878093281, 287.24801425541074, 288.31439517538064, 288.9698396109107, 289.39033470387653, 290.74090089268293, 290.78961781512243, 290.830992665748, 294.00900323726529, 294.97901661748881, 298.03197748946076, 298.37242632133876, 298.79862669324729, 300.20893819355075, 304.26741607420001, 305.04609100026175, 308.09073104491301, 309.5254027420047, 310.81162588386502, 311.62463041149988, 314.27487633235296, 316.35518413561073, 316.98842798896834, 317.60677222535355, 317.6330469827318, 318.4551651687969, 318.73654142170574, 319.64843561703174, 319.70397272124114, 319.81783108975236, 322.16633874821599, 324.24077002424207, 325.29326958566168, 326.59964647909567, 326.76820874404359, 326.93090886095274, 329.51902347847528, 329.62105800522011, 329.74255162915523, 330.20918406846545, 330.38531974701982, 335.05305786335231, 336.00712012902682, 336.3072002000622, 336.36231700910037, 338.25611165498577, 339.19005150893764, 340.14518287679886, 340.37497662621098, 340.79489900135866, 340.97916371226404, 341.27127226878423, 341.30842711067993, 342.67071885439361, 343.33847623183584, 343.41144262656854, 344.76982527531345, 345.08559482663219, 346.05948762094704, 349.92908746506561, 350.3874130394064, 350.89476488631681, 351.59482788742781, 352.03547677062079, 354.32264945983974, 356.12785328151494, 358.12286868199834, 358.67912919440539, 358.86773123906107, 360.77369778112586, 361.66371578537792, 362.89867284468056, 363.80972739335658, 364.27852959670156, 365.07535363583168, 366.93427609544051, 367.40833455835252, 367.93964881718614, 368.70998932166077, 369.36113093845762, 369.97235696170617, 370.23876778932674, 371.00136357800653, 371.85867480554032, 372.15519622851872, 372.91479319141882, 373.44483749287878, 373.83541638235812, 375.25536968510232, 375.45943805173744, 376.15288222053687, 376.21680435555135, 377.97924628688327, 379.37952996856228, 380.14746135343171, 381.25099547579742, 381.64888105051767, 384.0495063026957, 385.48011755573629, 385.59333942110806, 386.30479588312136, 387.10068349159326, 387.75802687118619, 390.55789791042855, 391.66830457000486, 391.85630652096461, 392.005157322081, 392.974184173406, 394.732761270102, 395.77862238244671, 400.86627650576372, 401.37411632953933, 403.09143746431084, 403.51679119600192, 404.36731877072674, 406.89186965383044, 408.26332639505665, 409.55934476641312, 412.54003946426428, 413.47265408112037, 414.15559314733639, 415.61714255513579, 416.99065448244988, 417.72215940353283, 421.47835755652324, 423.95320121022189, 424.29705130277438, 427.07643577806692, 427.75101933145788, 428.81683606413702, 428.84502406628877, 431.70691279461221, 433.12357069411325, 434.04031093276905, 436.84697809423881, 439.33302134636716, 440.40088561212974, 442.69924035136864, 443.66031176672811, 446.78760648228064, 447.6754137771926, 447.85655188112469, 449.10067658324192, 450.95742272398138, 451.15489179304842, 451.72327802334325, 452.65869028617601, 452.77841000127626, 453.08957940781011, 453.84523590810949, 454.55004637041912, 455.7240179374848, 458.45007428079992, 458.49833542634303, 459.92792734591865, 460.36213124365975, 462.22045555138538, 462.32624157249035, 463.63084532903559, 464.75963876998946, 465.44924443342131, 468.68500936510287, 468.98648630657436, 470.10341235506604, 470.36904061020908, 471.74356807895435, 473.43813339266109, 474.06614600140114, 476.25718235143648, 476.74950822265066, 477.23762697258599, 477.9625075677273, 479.02559629512274, 479.85439617830531, 481.01089662015301, 481.6981494087031, 484.29171778937416, 484.76147667613077, 485.69529828060217, 487.82172220487013, 488.01483337677769, 488.11441996726984, 488.28430900856677, 489.49236969470269, 491.20780305108815, 493.27249915656012, 495.49420623762768, 496.53776504505294, 496.73957075926677, 499.27258283267878, 499.35899139764933, 500.24355293390767, 502.0325895176756, 502.16696218922971, 505.00121240415052, 506.47624054969668, 506.68887877589719, 507.10724575492213, 507.87070578292241, 510.87446297799937, 511.93881162194521, 512.09387334580958, 514.40711174070873, 515.37965909856109, 515.73648943898127, 516.48075989965366, 516.81036476110592, 517.6663526714849, 519.15159256699951, 520.27219978749076, 520.87972141440355, 521.09991743113255, 525.34257092812391, 525.73761901695457, 528.61974141729422, 528.65471351592885, 528.74840783159232, 532.65572841128892, 533.7073264741914, 533.75813163574094, 535.97866178929337, 537.597719363431, 538.66395023024143, 538.74012597578655, 539.71041985077386, 540.53366194650073, 540.97383976990022, 541.13489476667894, 542.7462711760611, 544.72553097991113, 545.49669148531461, 549.0040939197479, 549.77728344966226, 549.90651840053692, 550.11714611004186, 550.67446846840539, 551.77589661939749, 553.21038738445975, 553.70748198509898, 553.94662992966062, 556.18909627009305, 558.42791883620544, 560.32595381196063, 562.72946775035507, 563.58097709180822, 563.60657784755347, 564.69227474166519, 564.84919219587596, 566.58793402549827, 566.9451703716785, 567.01490794031031, 568.33888616735032, 568.43107956772076, 568.56055598337991, 568.71190197055773, 568.93211487482495, 569.18965955752481, 569.42498117282014, 570.40178728591036, 571.68611298254143, 572.25892270032989, 573.22072147248571, 574.5522959592422, 574.57274532687995, 576.23779575942297, 576.83851013305991, 577.9155978391783, 578.94016159997216, 579.7371166950453, 583.06873134163914, 583.3301233251625, 583.72749725832591, 584.42203783954142, 584.95961657702787, 585.23391124515786, 585.47490597049057, 587.12735319578758, 587.20505767287011, 587.76533498774791, 589.82947950359051, 591.23800804291045, 592.6730881173296, 596.84747051702982, 597.46393197645637, 598.46554482039903, 598.7251750170899, 599.38275237265759, 600.14966022063038, 600.98358516110181, 601.01636566421018, 602.46636078841891, 602.5772477957679, 604.09059138324176, 604.8201871471565, 604.92756874076849, 607.79419098123856, 609.41613545226562, 609.7067046827799, 610.96617173567722, 611.42140987118216, 611.63224921419317, 612.34424086057356, 613.96066558539894, 614.40991154553296, 614.43723714987902, 615.24262788069609, 615.36105165084336, 616.81447229760863, 618.04403023670557, 619.68325712004514, 621.29841145662931, 621.39690113193467, 623.01745898106765, 623.97115942434857, 624.69070196622226, 625.21221608531289, 626.24569754998788, 626.62351139033012, 627.54170121686275, 627.72847489529454, 628.20300657304927, 628.5707519287572, 628.73051119691536, 629.33118646457501, 633.00876067048614, 635.28396504424177, 635.34278159065809, 636.09821800203292, 636.53361706962278, 636.61259311196841, 637.43590139319394, 638.30579569975725, 640.02646658314302, 641.20565879914409, 642.04276468970374, 642.21289545472996, 642.41052164755092, 643.87045758277168, 644.01060557951155, 644.65030880920244, 644.68073691361258, 646.23963594489658, 646.69169993392916, 646.86343580555263, 648.7320153740136, 648.88161149031237, 649.35387147973074, 651.33826032255581, 652.1605607309998, 652.59489454948755, 653.78311332991382, 654.98062085663059, 655.9770889181865, 658.23301255512115, 658.37393996694118, 659.95874605365486, 660.62317978298563, 660.87716461262664, 661.09137997082087, 662.3253737423255, 664.10472235734403, 666.11650060088539, 666.73085262264806, 668.96793087148046, 670.2924284694551, 671.29449377137735, 672.20262745728826, 672.55776594755844, 673.15775042493567, 673.19123460807555, 673.48052848075565, 674.39738413177861, 674.54822307923882, 674.80019143804634, 676.09554763554672, 676.18200001052719, 676.61205562459998, 679.48035482346586, 680.08966689312388, 680.82088194616142, 683.34931215466986, 684.80912735073855, 685.10435451946887, 685.50711621491678, 686.53389246662368, 686.99414292205165, 687.50400138101156, 689.70436568602952, 690.1316826203946, 690.26804672236801, 690.29395485881514, 691.1856165879783, 692.49244988513578, 693.6362457161996, 695.3127443358336, 695.73410636193773, 695.96359205590772, 696.855673367657, 696.9996744473093, 697.40803928100524, 697.57758620715754, 700.16357641665354, 703.11191788039309, 703.46506480366077, 704.80183910030405, 706.61926234813416, 708.28636163172644, 710.09710996326464, 711.89593976113167, 712.31873873756285, 714.13600427611107, 714.98080428651997, 718.90146384939794, 719.16445766513095, 719.48544202844391, 720.72104783765121, 720.77603935085676, 720.96210335581759, 721.50013342511613, 722.43190756440788, 722.95488466062591, 724.10031925231124, 724.41423937358752, 725.8570475253041, 725.93536695524278, 726.36741121621071, 727.37052832561676, 727.41761197040842, 728.40057455393446, 731.77504560451132, 732.65094851731374, 733.61082223501353, 733.75327693165798, 734.45875584268481, 735.18441435968771, 737.16706902632723, 737.3287308749251, 738.5845577488758, 738.89407783075421, 741.30329800792299, 742.89004476473337, 743.19739392277495, 743.9304344639404, 745.13627303339399, 745.33644260808694, 747.09021075284988, 748.18832883833124, 748.26415618390786, 751.6878150698052, 752.88248397815789, 753.0783972364427, 754.50162077205357, 755.34683773165398, 755.51865452282095, 756.90326502671962, 757.31866593632412, 758.24958466119665, 758.8615650093908, 760.28529373919582, 760.86149131935213, 761.17583367242378, 761.60375726398752, 761.67546922157135, 762.16839136824422, 762.99486898004125, 764.50194081219308, 764.56284264506735, 765.56588438351616, 765.98583575638258, 766.22904449037242, 766.52978390217436, 768.21528076263826, 768.35028026639793, 769.01043511066939, 769.97686831118904, 770.43266890025336, 772.0777675739572, 772.25172382479616, 772.91769486437227, 775.81979318917354, 777.36175413131423, 777.72585432844289, 779.00518990220257, 780.31175006166836, 781.0832740304528, 784.29906435975249, 784.412517925251, 786.12102994487645, 786.38664088343648, 788.1603221068417, 789.15280646662529, 790.46456128110026, 793.34441755145428, 793.38477343684326, 794.74005777349578, 799.21882939077204, 799.31276756468708, 799.84046206338292, 799.94297123579702, 800.05692584359713, 800.75012773935021, 801.70555145567528, 801.80034255643125, 804.02672994552631, 804.73905471724458, 804.89480813855027, 806.09016490926615, 806.12895206593703, 806.19788512738501, 806.29052636545657, 807.11513963946197, 807.31336792093396, 807.51300587303501, 808.15926014467937, 809.07868438701314, 809.99234048467076, 811.18666488109614, 812.02135827369091, 814.99528518439865, 816.01715049285531, 818.44344711990186, 819.95375761727314, 821.07094850009742, 822.63998837591578, 823.33533412461156, 828.27032694911748, 829.898311790104, 830.30694087425752, 830.54476228579551, 831.62271532178602, 832.10437560326591, 833.97323758470168, 836.09080857468086, 839.30991573041592, 839.3429634415952, 839.54311977037878, 841.04606659360547, 841.28304719952598, 842.99515577542275, 843.33615444031534, 843.36905741125474, 847.15422630803255, 847.28193894884237, 849.51372039046123, 851.47711111915567, 852.52939908940937, 852.82112300596839, 853.73369454063754, 854.16227275501865, 856.44873588349651, 857.31778550810702, 858.53507863765185, 859.2181845642109, 860.76103884145562, 865.10574171783242, 865.58936013282084, 865.84840405428406, 866.79154427612241, 867.26384150449417, 868.07500652620854, 868.48065822786464, 868.82161361442343, 869.15423658012423, 869.91987764019757, 870.83377186395398, 870.90604692343595, 872.45986396559488, 872.72742664424447, 876.03098916583519, 876.28762815092773, 876.68128639012207, 877.53943249095562, 877.90293966387719, 877.92779305227634, 878.51118287064389, 881.92811709986006, 884.29589808091214, 885.22093630287395, 887.55251821683248, 888.54239636341049, 889.837771423341, 892.48852800692282, 892.6574370560129, 893.94279028426251, 894.10886529880941, 894.63349163198529, 894.78781261655945, 895.13459704225511, 896.74490235817836, 898.30987637195494, 898.69616227305517, 900.03032343255552, 901.4698199443294, 901.7390967622805, 902.15603268463474, 902.819552772664, 902.84762700457554, 904.27564898547814, 909.43738000911537, 911.38978922457613, 912.21237404273802, 912.24835378369153, 912.82731115089609, 913.31279134198678, 915.61128283690084, 915.95480112808968, 916.63760020355585, 916.94217055683589, 917.06092474900481, 917.43768081928999, 917.50078656597327, 917.91866842767058, 918.0851026775473, 919.41596806333314, 920.04286271810042, 920.6495873127833, 920.77297407015374, 922.56249138258397, 924.71871269703047, 925.04995798322886, 925.30592384830118, 930.18091153683338, 931.83724489548354, 932.69978530385663, 933.04689727792015, 933.3927579139654, 934.95649258192361, 935.18236206224481, 936.03715354740143, 936.31744315154367, 936.99737344881646, 937.41280514130528, 938.15908746080095, 939.15289880406056, 942.49065983895503, 942.99377737359521, 945.12160109925912, 946.20536635679969, 947.91868209865834, 947.99576498734928, 948.5838181449891, 951.83219326789356, 951.96237652648369, 953.11142926991135, 953.54149091419799, 955.74084300296113, 956.17691201554305, 956.2478196322603, 957.46532235258678, 959.24596654573486, 959.46629070043127, 960.6477687227565, 962.44719129017665, 962.77417204792698, 962.96016515030703, 963.29870852319652, 963.35378635190852, 968.33145957813201, 969.07988038536405, 969.58945445607583, 969.76446233170122, 971.36373798854527, 971.61584037421585, 972.52467050024461, 972.8425673590508, 974.5999806175754, 974.72248590049594, 975.36719102091672, 976.26799939333102, 977.66875193387511, 979.26567900755379, 979.31376817394289, 979.72003253544881, 979.81663551617135, 979.91199676246151, 980.94394240847521, 981.0003492309371, 981.30153131618749, 981.80970457274236, 982.93978401400636, 983.62047761189706, 984.00110413925199, 984.33825378339941, 984.55290623326016, 985.52059095175503, 986.40232787880473, 987.38636314361008, 987.43733644380302, 988.02979175125324, 988.97035299162246, 989.66528813148636, 990.96310127616607, 991.23495281739861, 992.60533890347494, 993.75685816683279, 993.96636666159975, 994.1732326360717, 994.29790218437472, 994.91255307056338, 995.05870422221221, 996.82789609666315, 997.69896693674445, 998.51480137794715, 998.64400992668277, 1000.3074812605805]),array([43.538822275721081, 44.618150456095627, 45.882426335828917, 49.473074265149116, 49.85357548702865, 50.651876463020045, 50.689265157644549, 51.805982491237089, 52.320682976825609, 52.859120011556051, 53.506517832390465, 54.00112956170679, 56.688134141980292, 57.479653264202504, 58.412169931963419, 58.764529054220432, 58.799206636375011, 59.872768985889351, 60.320828704027484, 62.498114119932694, 63.089387881133959, 66.895204729963481, 66.943085544128905, 68.28384364202833, 68.755755834616721, 68.897103539883432, 69.853958035747951, 71.614586516378083, 72.204147008331077, 73.106046815432933, 74.990243241776639, 75.047950952311339, 75.532286183969589, 75.58574838370798, 75.963416824532487, 76.240648581324351, 76.323938587607003, 77.173228854058834, 77.313845508119442, 80.241746723497101, 81.478575735126867, 82.989047257077232, 83.266561000749306, 85.268943909804833, 88.901869509715866, 91.55160757706949, 92.459465324611401, 95.328896037870095, 95.94709421756437, 96.60346811144116, 97.748979984910036, 100.87979661244897, 101.51532086068953, 102.60982965480578, 102.90484614528262, 104.04232878728403, 104.35999399648125, 107.5564093518976, 108.94643981891609, 109.389865505605, 111.81890502203998, 112.22604225624116, 112.30076612223633, 113.09559744095742, 115.01523965933333, 116.21983650968677, 116.61377839144259, 118.41737572748649, 123.6099938381379, 125.17246136319136, 125.87629532931091, 129.92221480268813, 132.35502969917758, 133.16649784528724, 133.846351820325, 134.03250234785813, 134.09187858123155, 137.6369854889742, 140.09511268238643, 142.11943835576139, 142.22355749457239, 142.73772095873304, 142.86698663555941, 144.21236578357758, 144.25264448608252, 145.27333032810895, 145.44659000984106, 146.83706272103598, 148.04433872636736, 149.44341240124709, 149.54680517001711, 151.17854750411354, 152.23946627126321, 153.21690161288612, 154.37791026194611, 156.98062842219656, 158.73336827350536, 158.82175077404753, 158.85066239856585, 158.96391302479142, 159.2404063530449, 159.83871676574546, 160.20068480169996, 162.18158017141582, 162.42892221118126, 162.65923332533811, 163.07326847134664, 167.36564074871492, 167.44223036987708, 167.76456571574505, 168.05191235363054, 169.78560399737214, 170.55868676650428, 172.78623033211258, 173.32692336221925, 175.27010623110618, 175.8336165874629, 177.01520505030774, 177.52029265628315, 178.4148298498161, 178.50988049036769, 178.90585167780452, 180.95532861934691, 182.38892955224969, 182.77086795216212, 182.83088257385316, 184.68351236575563, 185.08966625577634, 188.35266938244249, 188.52982826133305, 189.59865627427999, 190.29360115066558, 190.86659915086892, 191.78469097448701, 192.39695001253182, 192.82354339514521, 193.0119968436278, 193.32399748697591, 198.1606035027543, 200.02992323197284, 200.1364187342532, 200.32697153135032, 200.8471505722336, 201.83513483038195, 202.03726027309989, 205.53231400146265, 210.85028716450378, 211.69605508170105, 213.89401843699704, 213.91989795399928, 214.63530283807924, 214.95496837552778, 215.184249924277, 215.52591965785464, 215.56255518548636, 215.59591612887903, 216.49818324573928, 217.54506531607106, 218.7127361417848, 220.96005359921858, 221.91284041387323, 222.07763444559112, 222.21983137863239, 222.42648155687095, 223.51790580897483, 225.19652246238149, 225.47533068699212, 225.60688699354549, 226.2785555424629, 227.73854336836152, 227.8842455261082, 228.25504204822812, 230.0592972233263, 230.1403041617929, 231.39896640158645, 231.67034756914464, 232.62665213444348, 233.83550627275903, 233.97735901269186, 234.06108340177701, 234.20938086131551, 235.12559602641645, 235.5345135452051, 236.02045915957407, 237.4871818421806, 238.10621706111095, 238.23179842390343, 241.20578154299244, 241.54842330626536, 242.49294079999169, 243.35093652154609, 246.4594941639991, 247.89772754961373, 250.40590548285826, 251.75517815878484, 253.20492562716851, 254.19254591550757, 256.94437167011807, 257.01620009596263, 257.32239013698847, 257.42358912386231, 257.86520520931185, 258.4535785705728, 258.61067734371142, 260.93759981462949, 262.36976803009003, 264.69221987835527, 265.55535400603549, 267.04588121089898, 267.10016015291546, 267.95665375274558, 268.11471813437066, 268.85985183081203, 269.03480043940573, 270.63342703575313, 271.43425044628435, 272.52617903449544, 273.36605813108332, 273.62397171952853, 273.83761305145026, 274.38292514132951, 277.3482187853798, 279.20079042959338, 280.62236367441545, 280.71746770338257, 280.81301867174795, 286.77464610304793, 290.39647257225647, 290.78407503970936, 291.81700195303125, 292.98797481250978, 294.77240523200561, 294.97674353261641, 296.79414009753168, 298.40109840176837, 299.91265364953341, 300.02415738686278, 304.11962629194466, 306.43584582952315, 306.78869931632084, 308.6536628843653, 308.82690829206831, 309.41861695362445, 309.76611763774991, 310.36014422545929, 310.43392833886156, 311.31562090564017, 311.58726115469062, 312.46520269416999, 314.50448751455701, 314.70511922023235, 315.63911591745557, 316.63619518906518, 316.75647235626184, 317.14471777565205, 320.01281349784887, 320.78862086263871, 320.89253249735731, 324.15297325448802, 325.35030090095393, 326.17020623485161, 326.25938604077083, 327.30804779830538, 327.9497234876057, 328.1405179026637, 328.55513838463156, 328.60030772657865, 329.61172802301252, 330.36641778721025, 331.06574037066764, 331.64349215211024, 332.96436227817526, 334.66766082479126, 336.9466762128136, 337.2069676121194, 337.44798075711446, 337.95930009673009, 339.48245374295885, 340.29107341248022, 342.33488142971231, 342.95666401129824, 343.83743482525693, 344.69439372516467, 346.5975383349446, 347.18875547423374, 347.65323963897407, 350.67103009066392, 350.88497375763541, 350.91376142453777, 359.0300822709753, 360.33333443057427, 360.72231091240053, 361.72289688978299, 363.84796474673936, 364.24107058159007, 366.85647792125786, 366.97546349617909, 367.20195399472414, 370.24661493661915, 370.70755395570353, 371.33631547521054, 372.11458531566473, 372.75086400904803, 375.44185123697611, 376.46283912784662, 378.262635340695, 378.60052705704078, 379.43471884382166, 380.52819719267183, 381.21202187335371, 383.68078221484888, 383.74780543825739, 383.94472841580131, 384.01132651035522, 384.70829957460148, 386.09660195194465, 388.16479052547362, 388.62240348323411, 390.50985266489511, 391.40840123268305, 394.25251908462337, 396.27108877484807, 396.78843128656484, 397.58025427909917, 398.81000087523449, 398.84238320356576, 400.05258116322096, 401.48974881089788, 402.67202772265807, 402.944030670487, 404.55439038036212, 408.80194388934649, 409.61521396384421, 409.90884109228529, 410.87443987765437, 412.129258994883, 412.24881981134246, 412.45099285127145, 414.30279212784967, 414.55029372552821, 416.22562070159751, 417.36983071367695, 418.90323356072423, 421.70253377028843, 423.00537164022785, 424.18995623167262, 424.66400828175858, 425.68928767331988, 425.9556741537167, 426.06032887997958, 427.77752991780471, 428.01684192433152, 429.41012312694983, 429.90019142774167, 434.21115000035491, 435.62675948602964, 437.53863319491018, 438.92742159824439, 439.00910832692279, 439.32981331559483, 442.33222736470185, 443.18725419089168, 443.80812385101092, 444.55677990738997, 445.06252091033349, 445.22439964835087, 445.5954723528219, 445.99235055322117, 446.21350598946884, 446.98297180630647, 447.24963919613327, 447.45952939280369, 448.43447475633769, 451.07719905821568, 454.57953486886225, 455.93662160848567, 457.15926276091602, 457.25822888539602, 457.4801562817234, 457.68099213406248, 459.54137216445179, 460.0909643582898, 460.53898088513495, 462.50908045989007, 462.64453884141898, 463.11395151319505, 463.42701243495202, 464.16724660709826, 465.23198755257897, 466.74979750316191, 468.49741867271308, 470.29429935657868, 471.302991373954, 471.49143517887268, 472.11499178881797, 472.85462490583649, 473.0434194120939, 473.92430323691354, 473.94490381532188, 473.99268093199379, 474.79579664586163, 475.544082330283, 475.79794255337117, 476.8884413056914, 478.94032446068604, 481.48911194360369, 482.12800542320019, 483.48820575671317, 483.58532207969819, 483.93027790501759, 485.32373337857643, 485.5961313433337, 486.04353094788149, 487.21582864927962, 487.59102244302647, 490.07116822742563, 494.24660507988989, 494.50570440727671, 495.14347655403986, 496.38307893674789, 496.44833816318288, 497.37604338049442, 499.12212583917102, 499.94997369569438, 501.42699213890279, 501.88318197349861, 501.93252613346567, 502.16406764979155, 502.35032947975895, 502.74037829176319, 503.60305513584308, 503.72274523083968, 505.52883670633929, 506.73967413166196, 507.46669228790313, 507.63103528384732, 507.97308063699472, 509.65890999467086, 509.77777394461788, 510.57605696360082, 510.92918906632906, 511.20863433870915, 511.46127983300829, 512.75715369946158, 513.3118617378293, 514.4260271334939, 516.6416884683091, 517.46949478348597, 517.67054559463759, 519.52329677437751, 519.74239283477152, 520.7458420066481, 525.89975316526238, 526.14898484354217, 526.52391851200366, 529.68483151620956, 534.86178215546272, 535.52920765908425, 535.87957408256079, 536.15220204195452, 538.22185834247023, 540.2610136956215, 542.23673957220581, 542.30103017792578, 543.62816822998786, 544.69009886233971, 546.09514124793498, 551.50328511093869, 551.86206635805831, 552.03858332076129, 552.12787207258282, 553.23113382711585, 554.34438100996465, 554.91326470692752, 555.38869958474572, 555.81777502125556, 556.87396566994857, 556.95616048158411, 557.1553579378342, 557.43070971539908, 558.80056565981215, 558.97212996313954, 561.15216247159697, 561.17435395100722, 561.71268582930031, 561.74855319777862, 562.48245401401914, 563.99036290375727, 564.2916988950218, 564.89411166973287, 565.82339136050177, 565.96153499379, 566.02886241145495, 566.28316801064466, 569.51138780787596, 569.84731072762156, 572.28136790310657, 572.75634631884805, 574.71749124840915, 575.34503285338633, 580.75876263123303, 581.2500483695253, 581.63701413781564, 582.79797828185701, 583.65392054370579, 584.41891461644855, 584.93568131786515, 585.14920866240004, 585.890004688869, 587.12614616311407, 588.94563681430748, 589.64040417666729, 592.43588771343752, 593.05761620394912, 593.20449504321402, 593.70792736740066, 593.99165893234272, 595.58488096871054, 595.60967847238294, 597.21913566797036, 598.33520892387355, 600.92154015150118, 602.31731005099573, 603.35365584018848, 604.39810749350681, 606.90916972730224, 607.11949792965811, 607.78947171427046, 607.96086346254617, 609.35478462163724, 610.02967070684406, 610.07695004764378, 610.15040149589368, 610.21598673216135, 610.93928527772175, 612.74446000002388, 613.81666005344948, 614.70020059469039, 615.37883652693392, 616.0749798589892, 616.6124829028978, 617.84636270930446, 618.20576025211517, 619.51945973979298, 619.86467615286688, 622.96491745321714, 623.02622566763489, 623.40521742591955, 623.51269993441883, 626.41175828160635, 626.55468053737172, 627.37996608236369, 628.40089117704235, 628.60185433731067, 629.39059059644285, 630.08264022968456, 631.02026740075826, 631.07109824946679, 631.55480527085865, 631.64626960869316, 631.95088038625045, 638.40515769404726, 638.67813779757887, 639.6722989586093, 639.962460685932, 640.32564961764331, 640.47705127968152, 640.585291233352, 642.26025851546183, 645.63910134110904, 645.8394506579433, 646.72647956519245, 647.1828511798841, 647.33684437523721, 648.07770001987012, 649.02920348536145, 650.23480369617619, 651.14615637415386, 652.29556405012067, 653.07975211145163, 653.22737807326359, 653.43561034451, 653.83742019539829, 654.60537909053267, 655.50009011840552, 656.75025729618108, 657.52671617763212, 657.86230690570392, 658.6618833652584, 658.85957220690466, 661.58112353591002, 661.60604054508349, 661.69285720782182, 664.88174164189468, 666.54747832880309, 666.84142870456037, 667.9967000359062, 669.58997331303169, 671.20581486763854, 674.51203785783628, 677.1110085150018, 677.74758155995903, 678.7072718910332, 678.83088256456199, 679.0177580600855, 679.12328587492982, 679.27692781396229, 680.09221373813739, 682.603031790709, 683.33615470866107, 685.93290947183061, 686.45021337756634, 686.62801834059712, 686.67886196160589, 689.16870222950809, 689.4746819136484, 689.76414843304258, 691.02206144105617, 692.25239074576405, 693.55614851625728, 694.36490709493432, 694.78837382010613, 696.5543123722166, 696.62480342776507, 696.7290482418332, 697.68713455018815, 698.19168326165595, 698.22215617307404, 698.34779486443892, 698.75031025160058, 699.67272125923932, 700.91547467882958, 702.82045132359735, 703.61161317566712, 704.97960222414895, 705.18360873989536, 705.48316619088064, 707.62837219321955, 709.59837464638053, 710.63739169429721, 711.41834780214231, 711.65569725646446, 711.69636980047312, 716.65780285673236, 716.83529206903859, 718.2118645565572, 718.73102490821964, 718.92476426868984, 719.87465438357447, 720.33219952518914, 721.09475893784838, 721.36167304620562, 723.0161435460052, 723.44768855173015, 724.21487259780065, 724.5489823529042, 725.20503518608518, 725.31200673346416, 726.18302208150578, 727.64294203434497, 729.13869974451552, 729.81617098885749, 730.06173434595985, 732.76359938623898, 736.46625263723445, 737.0016066448635, 740.21973235266421, 741.42652253832944, 742.63866938122442, 743.2932127410196, 744.22768411702373, 747.67006241437116, 748.07053679951127, 750.91030625272685, 751.03940280972097, 751.30620972063741, 752.21182291707191, 752.60401167626242, 753.50748323444657, 755.5914770250414, 755.72344493799267, 756.01321524545426, 759.79369992638556, 761.50331935296754, 761.90563451271976, 762.97713393250331, 763.00374107276082, 764.144100569486, 764.42222027233777, 764.73762270595387, 766.81207280141314, 767.96331403074976, 768.92759285664761, 769.35861229210275, 769.53295065249949, 770.12084436127213, 770.7262040266919, 772.80563732009637, 773.01582540923528, 773.3183932651549, 773.64864396494852, 775.36065986955555, 775.54551852856036, 775.70300981756588, 778.27094348146386, 779.55933491964083, 779.72707693725613, 781.80598710276468, 782.07310967158389, 782.66941683714219, 782.76083164386921, 786.58473740098623, 787.22294981590846, 787.73392128859132, 788.56339366040731, 788.95406834979133, 789.78063626070207, 790.22751994294811, 791.25795243171183, 792.26460983297022, 793.01757444649706, 793.29653010327002, 794.9413031289115, 795.91288541293977, 796.12191430856353, 796.55613437686964, 797.36111353372883, 797.86827995219994, 799.47476186268318, 799.75682123138881, 800.83735498543399, 801.4758511058227, 803.24756955348732, 804.27619128828871, 804.31584693278273, 804.79240580324995, 804.96047006944127, 805.14380122564137, 806.78411564292935, 809.4704257014148, 811.35190655378437, 812.33998298151084, 812.41322220754807, 813.01309466019541, 814.54745776921402, 814.88361442853829, 816.9128574170453, 817.04508400035479, 818.50451788074315, 819.76751414376736, 822.56739917857692, 823.78165610798806, 824.52125116610353, 828.15541523270679, 829.15732582136957, 831.34457641467009, 832.0529930829573, 832.1790118625529, 832.24862253478204, 832.65349311665841, 832.92479109495991, 833.02737692860501, 833.70792274684845, 834.1854091339942, 834.34796911459102, 834.61391872656964, 835.47227221844844, 835.55892172050869, 835.68107657696487, 836.83637179994548, 836.86316786586031, 837.08770473082438, 837.62982514507769, 838.20522794719579, 838.55289669219849, 838.7972653752015, 839.6062633169405, 839.95169865033552, 840.96607662652048, 841.10708464492689, 841.9913695534641, 842.02505282433549, 842.57953046157581, 842.75664073411451, 843.5991501512018, 844.22391827772481, 845.75225449432128, 847.92366782611634, 848.06534707641038, 849.21209029039835, 849.47347348099458, 850.56530475497459, 852.22935848877137, 852.94936185956124, 855.70399641944607, 855.7675837959622, 855.81282488353452, 857.50295010497314, 857.6796538026997, 858.77470810682337, 859.47971392809518, 862.98493955207402, 863.83998801910832, 864.16415819813847, 865.0027403267926, 865.71053296236767, 867.47121071018501, 868.20486177757971, 869.78664122623024, 870.05948566584436, 870.25951454493236, 871.21367823474486, 871.76081769072937, 872.15944452165638, 873.61861664271748, 876.22116753752005, 876.4234940468134, 876.50949467081603, 876.53668729914875, 877.03042496236742, 877.93285637236568, 879.77639828074166, 882.26578163520503, 883.51444687292508, 885.06787410610048, 885.14499596461792, 887.11894047333215, 887.25495622247672, 888.1159476908216, 888.48216751984387, 888.78336084278544, 894.57422544212318, 894.90010066066225, 894.99623511535106, 895.63828251955169, 896.05195013027469, 896.5076054746944, 897.34925594707056, 897.91555497410934, 899.68341022514414, 900.34231295280347, 901.36042149026548, 901.47226537785093, 902.54352711088757, 904.53944613816873, 904.92340625315262, 906.49740750097487, 907.14450289843967, 910.12375623299704, 910.64270143332612, 911.08116842631603, 912.79666519208433, 913.91157608259243, 915.00154869533571, 915.95010415976424, 916.1762728145552, 917.46955125261252, 917.85070803008148, 917.92395566816333, 918.97906994978393, 920.12314575964444, 921.84855230247626, 922.08214934830653, 925.18730542515323, 925.96395449824399, 927.13480668092109, 929.94513981411035, 930.48542012474434, 933.18727472109094, 935.41873452230652, 935.78203547391445, 937.56619744358898, 938.36172297223663, 938.69170982952357, 939.10826623252819, 939.17019996623594, 939.30727298099896, 940.27058714739405, 941.63487674826547, 942.96653552802843, 943.68725333290638, 943.76285552932018, 945.92452029079425, 947.07946669093337, 948.71276030974343, 948.83512614124311, 949.28966222388328, 950.068848938266, 950.13201535866153, 950.70076822425369, 951.60303565840002, 952.07456817691036, 953.53881263198502, 954.48528470136182, 954.97037803073306, 955.30274756755045, 956.23599641352325, 956.6862426782144, 956.85451967753806, 960.15223264427664, 960.34905566837051, 960.58750345135934, 961.19618619208836, 961.28869411744961, 962.34097356052223, 962.5896539578664, 962.75853979692681, 963.61503936866973, 963.7954997922742, 964.40036816777103, 966.32237559654732, 967.90209209485658, 968.50403637070531, 969.20727855328937, 970.82654483191754, 972.00057855391651, 972.90885010957709, 973.51547343952734, 974.11310688704839, 977.22680679468851, 977.82091839115526, 978.2108246762856, 979.71736898931636, 979.79115131584854, 980.4803086265689, 981.62918169396892, 982.14407563204486, 982.34063295664964, 982.44205308967048, 983.62125348564632, 985.02926116620029, 985.15823439890437, 985.38728157871708, 988.43568346679285, 988.92285656133299, 991.24031011696536, 991.72665266815557, 991.88056129144002, 992.83813071897407, 994.69576095486525, 994.83784322969905, 995.49854640605167, 996.8812861992642, 996.9349535163949, 997.08485864805345, 998.88420052798131, 999.68902459034166, 1000.8395217698438]),array([11.214653598183588, 11.394919730952783, 11.50130605489047, 13.649888283441552, 14.600311204966294, 15.741948828763217, 17.162592676208984, 17.46190208603522, 18.033141720150198, 18.465759185891223, 18.631257185222932, 20.034710341076423, 20.422961107070158, 20.811088570750936, 23.669010993518121, 24.254335845837844, 24.821088587838155, 27.338989537044661, 27.527387018769282, 28.335676657388625, 29.155254236309343, 29.280596639987866, 30.733615269850521, 30.803254331712026, 32.64542305641158, 35.491751546709978, 35.766869782408129, 35.797989909611147, 35.8418973453376, 38.77855127384457, 40.055244001192818, 42.58774541922854, 43.265014927738804, 44.292052718610307, 44.87642343912318, 46.995362060238577, 48.137247596723405, 49.697392554500887, 50.29688293448126, 51.643719246113783, 51.854995848689889, 53.421040730912566, 53.745668466357692, 54.041376534584394, 57.945500973753752, 58.559015968019168, 59.20175564053914, 60.357835783277913, 61.296620996974383, 61.432838037508205, 61.850478074357277, 62.400574942801299, 62.978982214930618, 64.48489719201757, 65.329475015239254, 71.533469826132546, 71.814706430910633, 73.405922401865837, 75.156072615242408, 75.99514198189226, 76.327676860565333, 77.885614491352783, 79.498689325884627, 80.648311811490132, 80.82078587469428, 81.056787513803187, 82.355939715147059, 82.408878549898958, 82.792538830497691, 83.121293062897934, 83.650325618843965, 85.142913945930687, 85.37234842533141, 86.1226583649606, 87.195135732799599, 89.183222096099243, 89.428463002639234, 91.462221026062466, 92.28423158520792, 92.880409902091628, 93.355850516121123, 93.960649007188294, 94.818913449527287, 96.166613912691844, 96.573657284102111, 96.638211074162754, 97.385012875708739, 97.526992451008852, 99.379567000667492, 101.82710774690632, 101.9233673771177, 102.05212911402018, 105.92432096920136, 107.90860229423829, 109.16811698359392, 110.13752295366919, 110.25210724912819, 111.28997213976655, 112.62501334011452, 115.00609830741377, 115.8500700725583, 116.29962735898319, 116.57997696196681, 117.50620455302681, 117.75091613851018, 118.09189879092852, 118.20400608739737, 118.3821768202292, 118.46519941614234, 119.23369633090925, 119.65760465174584, 120.48552791957405, 120.70676378635946, 120.80502619228763, 120.99784807212616, 121.5277546850977, 122.94599320954245, 123.24226708166169, 124.19465311549804, 124.60623248686825, 125.2190949005852, 126.74189840379762, 127.34995125720462, 127.93334902948364, 128.45490020762253, 128.66009106265039, 128.80812586650381, 128.94628771622055, 129.57431009745304, 129.62438079803212, 129.7610244398127, 129.84205552775052, 130.11380646721256, 130.36542319695866, 131.81822628239271, 132.67139174309725, 133.11890157759032, 133.33727471432252, 133.80851335585027, 134.68413561528081, 134.93577182731997, 136.04201708058577, 137.56061401034398, 138.63533590272908, 138.96345518337895, 141.56338850429913, 142.99883143304953, 143.57487216332763, 147.44094078274176, 147.58293348081503, 149.49363479332771, 149.62876622218343, 151.88055183934452, 154.16434778942178, 154.39990967280687, 154.72127129142987, 155.337037836349, 156.5003173018755, 156.85893024004673, 156.99092172125907, 158.1449562943628, 159.68038992584621, 159.79419270167423, 161.17007617822139, 163.3142621872116, 163.51712325479571, 165.61731429724347, 165.91039917105132, 169.72977152063433, 170.98275692621442, 171.00531218352418, 171.06950314116489, 171.90781278741002, 173.23227117093208, 176.53435525598474, 178.35602553375799, 179.55143968096493, 179.80463527103868, 179.83689316396047, 180.4422141786952, 181.91023791911829, 181.95878803801708, 188.53662596557024, 188.63059722870727, 188.68681617041099, 190.58954779403132, 191.91002768494656, 193.73827984797796, 195.13371919276616, 195.8060598278594, 196.25846341037155, 197.30691233617671, 197.84049872040183, 199.7428667970978, 200.79624574290887, 200.84731363860914, 200.98862158964849, 201.10993626755982, 201.60746079526533, 201.75722820557988, 202.06425056449183, 202.46444872331645, 204.52035185241581, 204.69444933054396, 204.81215913596742, 206.28690188662907, 207.42046399904518, 209.09398381165258, 210.13233806210064, 210.34504603140314, 211.38428270467963, 214.64691501058087, 215.63255520350879, 216.08638142695983, 217.60178075545156, 218.2333215915119, 219.1106056820372, 220.73127046755474, 222.17663490700838, 225.49205116608957, 225.51620402572533, 227.39612889766744, 227.70129842786446, 227.79734400599608, 229.9508115450127, 230.11636696166212, 230.71244922976135, 231.85317557374384, 232.09291872881658, 232.83019560555832, 233.04090894952279, 233.48398636028688, 234.40877954919679, 235.14355656197853, 236.28659666758361, 237.25487436809166, 237.31815092099714, 237.65750102862265, 239.12820998432204, 241.49969467191656, 241.8840019816204, 243.34745169726065, 243.61550016770002, 244.10017664325144, 244.72714692180267, 245.51883699626168, 246.47686548434464, 246.53498358844948, 249.69131285360439, 250.39459209775202, 251.28030481193485, 253.16457098880625, 253.38383080191144, 253.77360971962219, 256.98895493947776, 257.85370050900332, 257.9329563932107, 259.81399477857366, 260.52986672130316, 260.62405313979343, 265.17726803701407, 266.49935760652573, 267.42370001446966, 268.16994347844519, 268.25954589340068, 269.78322491770518, 272.09164661123947, 273.38298184794598, 274.01290378657313, 274.87055118465656, 275.91407615971025, 276.87142713371594, 277.9278882684473, 278.05763167756095, 278.11849682988145, 279.66556282396152, 279.7358989923751, 282.83078549062748, 283.48712073210686, 283.74051861256953, 284.20684840448746, 285.19722120961933, 285.28211921978522, 286.03949103897571, 287.05257170192527, 287.99689677696404, 288.19350490855709, 288.24716344685976, 289.14954226282714, 289.1741611054822, 290.2428308961222, 290.99220952159146, 291.63780167676606, 292.4855881995, 292.52178821209395, 293.23252643449547, 293.30173486503799, 293.80147377882616, 294.65001052503618, 294.67065425111298, 296.14456402509126, 296.93349028058475, 299.38124383017691, 301.7299394387847, 301.915886819413, 302.28112806869473, 302.98342280568841, 303.7578598804738, 303.87690610701321, 304.92445214718799, 305.88043683472455, 306.89215891577794, 307.0686964170394, 307.46229196556152, 309.60755861403698, 310.5532552083576, 312.32149295162554, 313.24923106878731, 314.10022373572008, 316.5557810988052, 319.20483964646604, 319.41436404560073, 319.46181819242821, 322.0304223684891, 323.58883201225649, 324.76957188591575, 324.98603673141179, 325.28231591108198, 326.03108964583663, 326.36537671304188, 327.72133714903583, 327.80815550647748, 328.34621166073612, 328.57264199859782, 328.76962352107756, 329.25011803438866, 329.73359834510484, 330.59380358581797, 331.01262124547605, 332.35489440594608, 333.11033604790958, 333.29313424698921, 334.03294787577659, 336.00940973301942, 336.35999949105576, 336.48451933518652, 338.54289662011615, 339.58725691088011, 344.03832046984002, 344.23048627912902, 345.84547624088503, 346.63171682612062, 347.09464656400945, 349.28138738482255, 351.28415160656959, 351.71755545428096, 352.01343391138624, 353.23576722184737, 354.06186610094306, 354.1275744568473, 354.30333741303969, 355.91124822188021, 358.81159552717224, 358.92088222165091, 359.08231429959829, 361.04856066984604, 362.01117048086371, 363.86840307891936, 366.5717068203021, 369.26545620096556, 369.75229525443723, 370.70087649659735, 371.87116369708019, 373.26278300198618, 374.04559016270395, 374.66909954811473, 376.48289670685256, 376.65001693459095, 378.26085313401069, 379.23512320425999, 379.98597308959307, 380.22118131171686, 380.45672998249688, 381.35470880950817, 381.59894978288014, 382.01050729956074, 388.76548768463567, 389.46989629944181, 390.41641184130992, 391.18817433586031, 391.70544337861179, 391.79401074993859, 392.66384346298895, 393.42135894220007, 393.83664873427358, 394.35534090403064, 394.50563647907916, 395.00523051922585, 395.12104353254546, 395.71889118608254, 396.58648906204962, 396.69414392549766, 398.2099009768537, 398.27712431853797, 399.60878096731511, 402.16071769721674, 402.36045529243358, 402.49182686828669, 404.25260048107856, 405.18745568216866, 406.11572393305215, 406.71025839095904, 406.87997474797953, 407.1099810591096, 407.59307466170247, 407.9506095735349, 408.19876020627214, 409.64625208040309, 414.93611545820056, 414.98761307493641, 415.03035927333792, 418.41565387369019, 418.77453064279888, 419.74404479357503, 419.9775279792359, 420.93333688789841, 421.21746740878638, 423.79664813544997, 424.52836496949152, 426.55533011600278, 429.75910172495128, 430.85269695886075, 430.8847780342528, 431.43646642277588, 433.60534739177899, 434.10489899096956, 436.58852744642354, 436.85331607782183, 437.65446358987316, 439.77344752045479, 441.24384568325024, 441.2739967377417, 442.24090236140677, 444.54549446777787, 444.86858213213884, 446.26941433442238, 446.74851752774305, 450.70831427813647, 452.25393137139883, 452.41526648534563, 455.32036078215714, 457.01591566610961, 458.78128540533316, 459.14822697242732, 460.23108502269019, 461.85326444947088, 462.91093731200999, 463.01198116421489, 463.17496048456957, 463.47487095407763, 464.59142741608196, 465.21713630944606, 465.40572414871843, 466.25743477067118, 466.51815992666752, 466.56407307924871, 466.78180781479671, 467.00744237573082, 467.50557925510549, 468.05671128569446, 472.13939343906912, 474.02939854440677, 474.55795141115505, 474.92012994734102, 475.26562213169046, 475.52543477816056, 476.8011521514257, 480.88366606921556, 483.21663202657669, 484.26146008532851, 484.53055480048681, 485.08068364800056, 485.11388335704714, 488.29704781069773, 488.64722182526356, 490.92473060720897, 491.13167655880233, 491.493408571239, 496.69241426091952, 497.59236720036432, 498.60670939456321, 499.09180790876229, 501.12253880232754, 501.92530329000709, 502.19282386106437, 502.67377380416644, 503.56905790118446, 504.22627593459231, 506.02769510944819, 506.22819057081995, 506.5908650818169, 508.59358293825591, 509.46571605871509, 509.66250741790719, 510.34297480492586, 511.28406920578681, 511.44673701365508, 512.69365134641919, 513.87807918890667, 514.09016585592894, 514.87088919981795, 515.31654197868011, 516.11558181767691, 516.21672298859721, 516.58418023967329, 516.84640125536725, 517.15496558161772, 517.58620689240092, 518.26167602668522, 520.32202426427239, 521.20260403504153, 521.64964147568207, 521.82833296952901, 524.0189952111358, 524.27408545358128, 525.23607282147032, 527.05077012421089, 528.23396595261033, 528.46218147254694, 528.82833921327881, 529.23970071563201, 529.69441498153651, 530.03475964279085, 531.88341120682935, 532.03134774903776, 535.68751763003297, 538.0848916359879, 538.40662093985918, 539.03376214166053, 539.55247015294822, 540.35286453132494, 542.87055175149203, 546.22691960181146, 546.2916476114417, 546.52326598662489, 546.74916649011811, 547.76346341356941, 548.04511564911786, 551.08200722172387, 553.90380659928712, 553.98173247038505, 554.0842258642258, 554.98432502917831, 555.56416794446386, 555.89099021277423, 556.79792070254007, 559.46019887344892, 559.70532301188314, 560.7321762842962, 561.24791466675254, 561.85920453902895, 562.20736365009304, 562.60125043910091, 563.53947313298818, 564.59076697307216, 564.95829082472562, 565.50501792636317, 566.96592329329724, 567.499484004956, 569.03793127568213, 569.06455808874455, 569.75445704424237, 571.54367314727222, 573.32388148979544, 575.53319633689205, 575.88941790161766, 576.57056095396888, 576.65545425848802, 577.65999976242358, 577.75857930344102, 578.64886939445898, 580.35075713946503, 581.79116737969082, 582.25385370148933, 583.63674980756002, 586.42967645002886, 589.00730043524584, 590.31655934467699, 590.63306095457187, 596.88400931682031, 597.13259752508156, 597.47859921022336, 599.60831287730673, 600.03100131057863, 601.0487907608765, 601.38470924207707, 601.61289690794251, 605.11289813972803, 606.44991621714041, 607.67401801345238, 608.0152084880782, 608.9554674781823, 609.38897528183497, 611.33866128398927, 611.93694650051134, 612.63153534025901, 614.26966299257572, 616.30986824963804, 616.49107498097908, 618.1702658045275, 619.00255956664034, 619.77744184250264, 620.99573411970221, 621.9358809633253, 622.22389241080816, 622.42652261170576, 623.02453256818308, 623.09166749213887, 624.00346120665279, 624.45038158023101, 625.19545303626717, 625.75753943854852, 626.58456633032119, 626.74570577626446, 626.79953439688302, 629.50309287041296, 629.90649007076354, 632.49247499163255, 632.89196592846088, 633.11816965668379, 633.9084858145095, 634.1150900083237, 634.61768216469829, 636.51842358549698, 636.59393534350477, 636.63634284902685, 637.01882575540822, 637.16254052925888, 638.57388020317774, 641.1556219599579, 642.13485008904593, 643.29070962288404, 643.58424953231179, 643.91220703309568, 647.10264720110717, 648.81656938118431, 649.32628639875702, 649.78423768537289, 650.64835799649302, 652.53310857882241, 652.83335693564527, 654.12157050439532, 654.17683075347941, 655.14191056202151, 655.44118841265947, 656.21441834358188, 658.17218035117787, 658.50254819817394, 658.89866354526725, 660.17058679657271, 661.06186953913368, 661.15079665183202, 661.4645713353832, 662.06417054673466, 663.71327519896317, 665.01012054303374, 665.26591041483755, 665.72739363964149, 666.57275031301913, 671.76513603354203, 672.22148104076086, 672.74204734175214, 673.88849172236087, 674.59744197442035, 675.8497553995885, 676.98471667828403, 677.26644969340953, 677.5418441297403, 680.28772084947229, 680.82125839758726, 681.07922116018972, 681.47749703443787, 681.7163712423561, 683.39951229730514, 684.27760901169222, 684.42585320809917, 686.11420258976307, 686.59892180601105, 689.79007577188463, 689.97196585686447, 690.10234461107552, 690.19283899889956, 693.87722248785531, 695.54414145544217, 696.59088773265114, 696.84240328261194, 697.11123650236652, 697.27516727288764, 698.07682982523784, 699.04005708572242, 699.0985718553934, 700.55874856270282, 701.41871139942589, 703.05742579066191, 703.61695992376781, 705.8902815638736, 708.07129784296103, 708.11825931118392, 708.48453938073681, 709.32842509803061, 711.24049257201239, 712.42561586628597, 712.74934554789525, 713.09863560267524, 713.65955384112976, 715.10854456370009, 716.99002812276524, 718.762606032603, 719.1757863707835, 719.42551080672797, 723.07967596033836, 723.29330751227815, 724.69257383304318, 724.76230141194446, 726.67860412523282, 727.9052270935108, 728.94466295467021, 729.19194879146357, 729.40381564683105, 730.02926272579566, 730.17249541632145, 731.01248136294168, 731.23650720025353, 733.29353199596574, 735.5163305130942, 735.66326415820367, 736.60075015368989, 737.89249332644806, 739.78627321479337, 740.24971027615663, 742.22575215976053, 742.76724158554089, 743.24268779251565, 746.36366141456438, 748.23818686759387, 749.97038029474868, 752.50778027988781, 752.84697153924299, 753.16005163179159, 753.25977901526414, 753.91363057009301, 757.73326154162828, 757.92093140370298, 758.03987908779698, 758.99407932920496, 759.91566615362422, 760.07565879453159, 761.03275615928465, 762.65912757392732, 762.87630203328126, 765.7691898837196, 766.09044724779415, 766.42558736350816, 767.08360138786963, 768.12608301327043, 769.99809924467627, 770.04259253915382, 770.63435259481582, 770.66414975944565, 771.11208334786363, 771.41065349022017, 772.21315849396626, 774.37560618606039, 774.99908838470776, 775.87858413377728, 776.01027329145018, 776.18718391698701, 776.59393594211474, 776.94948905937417, 778.73697558441791, 780.43738833507598, 782.43286594996994, 782.89772358592722, 783.6865553732423, 784.74109897920823, 784.97839000356282, 785.79303535821862, 787.46498401956956, 789.34315341008539, 789.54194089025691, 790.44143121596289, 792.36002973318921, 792.42711687092333, 792.78371408961527, 793.61919247110518, 794.41222548249277, 795.28339721476311, 796.1448902408797, 798.42340913935436, 798.52672631762891, 801.38944613068031, 801.57642607464152, 801.60520622849333, 802.05213198871616, 805.25723448455926, 805.81866506732217, 809.22153249191433, 809.73691793976343, 812.34638836483771, 812.51680487302724, 812.98466204281181, 814.10461970480912, 815.51196867799649, 817.53749088105087, 817.66846560145495, 824.18218765889344, 825.10828462389111, 825.81502632204717, 826.42312749570306, 828.00298275836417, 828.35239018766049, 829.19947824794508, 832.08160533470357, 832.54137629284685, 832.81269871642394, 833.31168701464549, 834.4786103001976, 834.57083665281266, 836.87914003658182, 837.49189147539892, 837.55397926145088, 839.48466078620334, 840.81257853069985, 841.2132503251695, 842.22756188740959, 843.28702931675491, 843.56887263287229, 845.71037845236356, 847.54915147142924, 848.03560864060944, 848.36837373273841, 848.77801156937744, 848.81412763622302, 849.54099389722251, 851.99344278293802, 852.60275131742071, 853.09005194011922, 854.2374174315745, 854.80806128274241, 855.49321584869472, 856.60747977763913, 857.57929090434664, 859.17158619798477, 865.20435957497091, 867.11782165876525, 869.2162953948291, 870.14151859699405, 870.42925602135267, 870.59641028193778, 871.14467435699646, 871.42247882396805, 874.16527924531283, 874.62268584751064, 874.79850234253877, 875.12294031326985, 875.29623238693182, 875.47294345584544, 876.46500634888514, 878.15454160629497, 880.09407608669892, 881.58477194029376, 883.60044323110674, 884.29716987278221, 885.34886763003567, 886.6626569552401, 888.08768908465277, 889.91777722200334, 890.6892669646586, 892.09126240035152, 892.69772963676974, 892.74890060223902, 893.17559505711665, 893.24173328013228, 893.8807321584768, 894.05650239458578, 895.80588185508338, 897.21327331903569, 898.16505376107364, 898.61919930849047, 899.04232123098006, 899.93357396098042, 899.9573345462494, 900.872521199684, 902.16618761475888, 903.49218388845406, 906.06886885604831, 906.13842986749012, 906.90946847505234, 907.62985888643266, 909.15374808496631, 909.77241674059997, 911.58112118529289, 912.35195904989212, 915.07838307547343, 917.02000168092286, 920.8923869428429, 923.17519258663458, 923.61836014746427, 924.59275506986341, 927.0575024700521, 929.89401653765117, 932.00381684230615, 932.38958532099593, 932.52936785661893, 932.67840620697939, 932.8529565074374, 933.40591682075978, 934.53723706421761, 936.41089164833306, 937.30920101551067, 937.64416088503947, 939.84316135122049, 940.9513555438707, 941.28899577512311, 941.49857825783567, 944.19251119268995, 945.28098557077044, 948.01240912450749, 948.94142539291454, 949.28216304401246, 950.65811546805116, 953.22461198531028, 953.25558719105163, 953.4177047123494, 953.57829532789776, 953.99039553893726, 954.06014615386414, 955.50411446477517, 958.73710529764082, 960.23498653112279, 960.69207258778647, 960.8125913153616, 960.98479690168199, 961.35306625548776, 962.67451259450604, 962.90816072627456, 963.11002121742854, 964.89314832478408, 964.93124334704305, 965.46361558637557, 966.2295987644568, 966.25416217767167, 967.88484397595209, 968.59109420225013, 968.75399217275572, 970.63410496168569, 972.53850297461588, 974.36105620072351, 975.93830366077384, 977.47798507240827, 977.59789183513567, 978.27010345769759, 978.88632650331965, 979.20701429751375, 983.23709524920253, 983.98741523697993, 984.12282665373482, 984.22016275650856, 986.67002342756348, 987.89005322779076, 988.06848882654413, 988.37945620934795, 989.17227302051629, 989.75165684433875, 990.92570820079902, 993.43276980100006, 994.58085802538301, 995.42553129465921, 996.20729848827966, 996.80838807852058, 997.14273605424546, 997.18083815912428, 997.43153298639277, 998.00175631827153, 998.27629351343126, 998.83185769829674, 999.49083459265535, 1001.2531337580695]),array([69.666364749103423, 71.197522952591541, 71.317182404142869, 71.460516825195469, 72.253961911782866, 73.240782980795657, 75.934902065806384, 77.121011994154074, 77.48094924554988, 77.676633501537026, 78.753915459751155, 80.930104764865519, 83.80992648461509, 84.814374566284144, 85.356706541332272, 86.605370350174482, 86.634672556610411, 87.224045801041001, 87.486139900570436, 87.526217993223682, 90.856856213143914, 91.522469943396587, 91.867914003252764, 92.471403199967028, 94.352906564384185, 94.745778278401559, 95.206085093824043, 95.822123238963727, 96.80211378294338, 97.672683463819581, 97.931011624232923, 99.697285983115535, 99.73155156046964, 99.982308773389761, 101.04235449069382, 101.0991405161771, 105.79749920846353, 106.6109828273046, 107.93094284538441, 108.0426516679326, 108.2729267419552, 108.98793314563235, 109.01549314116484, 110.42956466379412, 110.56240312119469, 110.72844916481861, 110.85448766293673, 111.97104201798655, 112.27469349278655, 114.67063049827529, 114.82365468370605, 116.83965038688018, 117.63152083910208, 121.34313462409963, 121.88898261768374, 122.11634955778551, 122.29218639884957, 123.42291928627237, 123.98564472064638, 126.2625426713053, 126.41965719103773, 127.3238699557558, 127.97838101634126, 128.36333653004917, 130.0482775390814, 130.19537663724003, 131.50539103500998, 131.58022656155376, 132.29777424568823, 132.81028160648344, 134.04011417767333, 134.99046412469255, 135.20377434862988, 135.30932700106482, 136.29373540516599, 136.89626681226025, 137.88127844452788, 138.09972043355816, 145.05003055257333, 148.40515376237948, 148.53847696478147, 149.37200664858707, 149.99402161975871, 150.25672854350407, 152.93821572137946, 153.04858303257839, 153.90073655290036, 155.66428042504251, 156.58366035474293, 156.75695396323576, 157.07112381877187, 158.60967627031923, 159.02916416666011, 159.46120901956718, 160.88475739234056, 162.78057786996382, 164.67036844767003, 165.30708815617314, 166.22140812652086, 169.95792049343822, 171.14583660815723, 171.21687167537644, 171.27654668048066, 172.40811997056284, 172.61414349364267, 173.19823265424165, 176.44845129429282, 177.95092780313649, 179.03394884734169, 180.3721502618472, 181.23340001047202, 181.74054739584452, 182.77522113196039, 183.38758695875819, 184.12428877170692, 184.95941508789727, 185.27970617002012, 187.00587075410419, 187.15064901277884, 187.19429145596695, 189.66461534638967, 191.23479482843331, 191.82257605838225, 193.40876319341277, 194.90814974774622, 195.3275686686323, 195.38482433048108, 196.35011093794324, 199.02325903787707, 200.35588118304565, 201.88832110684086, 203.95931457572786, 207.00520291621572, 208.1650328922496, 208.24781712546431, 208.4433766426647, 210.950516167405, 211.79872158852075, 212.39053238081797, 214.7280223078422, 214.88367036750589, 216.50042861417259, 216.78097945975114, 219.427465390587, 219.95308478795789, 220.86348952701306, 221.54904037089042, 222.38658102991508, 222.76743801931516, 223.06320442906539, 224.65532620945172, 225.04549245556154, 229.88083905639726, 230.01056831605456, 230.75860836546246, 231.46378918537377, 232.5938101758469, 233.38969363781544, 234.59232164445552, 235.00889315378748, 237.76005454784499, 239.27072797037883, 239.8585093219483, 240.37403803796167, 241.49737139688429, 244.37398612485998, 245.51413781616432, 247.41696972908164, 247.59135864479521, 248.10637040588534, 249.39069076921868, 252.16741500046936, 254.94353539437589, 255.38059485140872, 256.14056633029367, 256.87369566915913, 257.44564534726402, 258.89167115653089, 259.12112496861965, 260.12623325417059, 260.72462220500597, 261.6073068828232, 261.86785461254732, 262.82701513341607, 263.69180899450447, 263.86896323992045, 264.55338535322306, 265.63624714625587, 265.95670186720781, 266.75836547714061, 267.73049121221231, 270.2313925804973, 271.62066743274215, 272.80592117905883, 278.63665556838868, 279.82421332353596, 280.00172689318623, 280.75971232488064, 280.96629369249166, 281.02154047322, 281.48867528565131, 282.42359227013043, 283.48715263852893, 287.59969089176178, 290.38954292653835, 290.50773931209585, 292.12171943331032, 293.30592758857091, 293.59610475411228, 294.31041554506294, 294.60029429473349, 295.55697261939946, 297.27294385673071, 301.33274903923001, 303.44180136070099, 305.01626796484845, 305.83586538773488, 306.31067639680424, 307.13453458078988, 308.09659977879085, 308.1205134550375, 309.76634560659517, 313.03524258578739, 314.12380345121278, 314.38906321575229, 316.15296940457517, 317.10525167004954, 317.8432920349494, 318.03673417545002, 318.39244993330277, 318.44061621861141, 319.19111091147295, 320.76373359699807, 321.84455636785538, 326.79591780335301, 327.11999021331894, 328.1206985653634, 328.52782163717472, 328.97608256622294, 329.170527815328, 329.39969544600666, 331.73769621440118, 332.28229930822977, 334.9549710010445, 335.26038018824505, 335.36319818731835, 335.95164648638041, 339.34976206462602, 340.94886514713346, 342.03741431188058, 342.07685108269573, 342.53585254336252, 343.20036868877293, 343.32513463970611, 343.98867458508403, 344.73310509483986, 344.91061734777719, 347.37206531921083, 347.86460648659676, 348.4302085524609, 349.68332042131271, 350.35007575725422, 351.45975202847922, 355.45050146214066, 355.70537933303012, 356.32695687948006, 358.11363405809982, 358.45870082187406, 359.37166283025817, 361.35689854326, 362.6110267605103, 362.90895303209879, 363.75030288073418, 365.82364544824469, 367.29238537796107, 367.72807572054393, 368.56729461922743, 369.37508986575972, 369.94273828296934, 372.26847946178498, 372.77465229375764, 372.82474912606108, 373.14652258424383, 374.09089744154414, 375.16895192280651, 375.85857422858271, 377.82810031752643, 378.09513258262803, 378.95752697827032, 379.29825278324319, 379.37083856130965, 381.16438716460846, 381.20061076771862, 381.8829063351069, 383.03760223189511, 383.11614512800975, 384.69003254389088, 384.90459339496692, 385.76121773626397, 386.97309059506085, 389.07166587113142, 391.56805551744429, 392.47625325919586, 393.65498829319245, 395.73078843346383, 396.35888545184287, 398.17582058657183, 398.87519515190718, 399.18237357700582, 399.21651125579666, 402.07674834986892, 402.47859459958067, 404.59895631574955, 406.00343760227383, 406.56140196765534, 407.45166139664883, 410.94195866458148, 413.4702926031681, 414.33409388345689, 416.69561614372276, 417.71052030198911, 421.30243680695577, 421.70867307802604, 422.24636805193518, 422.27560598837863, 422.88190346555257, 425.77737642899382, 426.54406601091296, 427.81167925543366, 428.67701611708844, 428.83156051679265, 429.7025565931956, 429.83332536104979, 431.35055775441134, 435.21815856381539, 436.93619881706945, 437.54584783132606, 438.62943084400519, 438.87336458654579, 441.14554583047294, 442.11714244228403, 442.53263627294484, 443.33172012198133, 444.72076767881737, 445.47203991692203, 445.60085052595781, 446.33000950700165, 446.79860550491833, 446.93108289024298, 448.49946388962735, 449.28123370029226, 449.51646808349608, 450.55071631053193, 451.65663268029249, 451.69344246961134, 452.00665808180383, 452.5111140559352, 452.58856849542337, 453.53258771467091, 454.7717337416305, 455.95129080499828, 458.20959319333087, 459.34123673177737, 461.61038199067087, 463.18055342625769, 464.12237611320438, 465.54033117467617, 465.90013655862151, 466.31876838945345, 466.57436795646214, 466.68560976538237, 468.20053596871122, 470.3615776290053, 472.54131022321104, 474.98133275120927, 475.92116494207767, 476.04507006042763, 476.53445355556835, 476.72215977145186, 476.98548257551175, 479.05294431385312, 480.30490572341739, 482.09418465298035, 482.30484085133014, 483.22892529368238, 483.63164792238462, 483.77481953439661, 488.43764771574143, 491.53968886726966, 492.97409746368703, 494.43719529475152, 495.26127719677737, 495.46394745173416, 495.87228599063525, 496.81320228753935, 496.84187294387453, 497.74242835494647, 498.0370962709315, 498.12802441909088, 498.91738928194883, 501.24805380598502, 501.57684071118678, 501.63515962436895, 504.50517244325403, 504.92976789014358, 506.17413639882295, 506.53698597921669, 507.11668129104203, 510.75747319133302, 512.38178243886841, 512.45243978511371, 512.66234894299839, 513.77806232265334, 515.00044886373212, 515.76136139000084, 517.59045750229552, 518.03695728741093, 519.18839016157654, 519.5311168834736, 520.03279122706226, 520.54116442264797, 521.46511207792184, 523.24339493471166, 525.35092166240952, 525.97563458892648, 526.16926790177411, 527.24267540258018, 527.69177766257201, 527.80682807916492, 527.84130697277328, 529.49438066921857, 529.87923428109923, 530.13296235590326, 530.87568364198398, 532.06957476092134, 532.92371069039984, 534.46841609523028, 534.66893566109763, 534.68941879127715, 536.02126194891105, 536.47635171909826, 536.97268423931769, 537.49344556203118, 538.48580964048745, 538.61650833840633, 539.70428577720463, 540.243672270312, 541.69235393416795, 542.55401448516227, 544.1394093463482, 544.57728043735824, 546.64065000964229, 549.74996906940873, 551.11666454560998, 551.25512473518154, 556.19644165608531, 556.33133206850687, 556.70336132891373, 556.86873533982566, 557.51692644915158, 557.5563643550604, 558.39135138913207, 558.5532260451223, 558.88203315206704, 558.97425651978551, 559.187571924243, 559.60763970536038, 560.65763100024492, 560.97718242403062, 563.9157558719545, 564.33494782376806, 564.58501354692839, 564.6811462309646, 564.84788911664816, 565.88583947117343, 566.34994008067213, 566.52852088350608, 569.28539048144773, 569.39422208216229, 569.87013389400988, 572.76111928451644, 573.02962716830177, 573.06138199120619, 573.8016239975575, 574.07940444517851, 576.8204200761711, 577.90852346512622, 578.41784674360599, 579.4671912460808, 580.11100245840976, 580.74698456236251, 582.55151812226848, 582.98364651923134, 583.81566404892669, 583.91913659040733, 584.54096889070888, 585.67173315998048, 585.74427102346112, 586.26668555708386, 587.08418267764876, 587.49118444793794, 587.57303270411501, 587.80514626230593, 588.53363595904193, 590.61940335448446, 591.11292514089723, 592.0987937217767, 593.25823550762823, 594.90274200240276, 595.4391451626592, 595.68152452707511, 596.04026690207638, 596.06235244105676, 596.35142653846481, 597.78019562641418, 598.23174908598571, 598.26580467007796, 598.8584086120178, 598.94827299715041, 600.3406097371053, 600.65561850955396, 601.45416120890911, 602.47949729228299, 604.49460223749236, 604.68674383255927, 604.75814045997254, 605.02383051842833, 605.2019618357125, 605.6463552230158, 607.68457245028287, 609.05008132650369, 609.7653635420495, 610.70430584542783, 611.94492951403402, 613.55346350486593, 613.59194758069293, 614.37593593966267, 616.33031920053463, 616.80950353679316, 617.53777496722842, 618.09150648094896, 619.77179861867216, 620.8481948877087, 621.11421302146334, 622.11307762614979, 624.52303178878333, 625.96289876650485, 628.2048739998927, 628.35984825860896, 630.08550151793054, 630.75231397052232, 631.43081980936483, 631.90292235254196, 632.60487079883069, 633.16649015194116, 633.57083179189249, 638.18406333588462, 638.62079244354868, 640.35320313321506, 640.5638455927384, 641.39980243012474, 643.08662552856424, 643.19283508672731, 643.68743497596563, 645.62709276104954, 645.89540297808378, 646.80650093047245, 648.01258020679495, 650.95482181452428, 652.80627442852858, 653.40141522091892, 654.31945385642848, 654.38115186257312, 659.97646325582537, 660.99273895106649, 661.5468379511027, 663.45868556501853, 664.75352543444842, 666.41216728827601, 667.90641847741597, 668.12676153128575, 668.23580363538633, 669.59452749773766, 673.8555002859265, 673.8827704127367, 675.5621754971163, 675.71957780643709, 679.13280728766267, 679.81849946338082, 680.61730913205133, 681.09723764372916, 682.85623476432193, 683.90951917416066, 684.90980070878993, 686.11872993703525, 688.05628109283566, 688.78604785359335, 688.9448951006575, 689.24210073901827, 691.02118284791709, 691.09391648078679, 691.84091890413652, 692.33681615532987, 692.43659668072019, 692.82671782044872, 693.25493973264679, 694.06195237928875, 694.7563485948175, 695.03122260928546, 696.97732188396492, 697.44458177873366, 699.46992010639633, 700.4690581532443, 701.08077055511649, 703.55082282504213, 704.14870386743951, 704.27877979910193, 705.06360644820404, 705.52977499289352, 707.43473564938006, 709.12693117066908, 709.90502298898696, 710.01702868111602, 710.6038384242803, 710.79525527296153, 711.28957876300558, 711.53515685435855, 713.27385110538501, 713.64665693468089, 715.16740770651859, 715.65038808154873, 715.70304137991741, 715.90925369181207, 716.64232213374021, 717.08855249921044, 718.653963318828, 719.92124822125231, 720.99178369616141, 721.59295534536284, 721.73493384522214, 721.76979217290898, 723.3404899326282, 725.56715372681549, 727.22521499895083, 727.80517243092345, 728.72304180051663, 729.18736489484263, 729.37684093670816, 729.67793036521971, 731.88249287375618, 735.14481705243577, 735.25850775414779, 735.52320835442595, 735.81246862097032, 737.50630845044884, 738.23864080181477, 738.93415237452882, 738.99020209552634, 740.13881176025029, 741.39416115100516, 744.48040440644206, 745.2947134346781, 745.672704093893, 748.29431755784935, 750.04272932533718, 750.98100833661499, 751.01779480047037, 751.15030834220886, 751.76648638436609, 752.68092888827562, 752.81422440891902, 753.43779418644556, 756.13117165358221, 757.29384619856125, 760.41884096576041, 761.62965173159603, 762.1263762188529, 763.41024333038979, 763.83655097015594, 765.96436979186456, 766.9111094806284, 767.25946682170991, 768.29679263325511, 768.33577071170475, 768.61515064276614, 769.86949541658407, 770.16778408407447, 770.78718447270739, 770.95148532878193, 771.75072310430642, 772.17460044922132, 772.47086353252018, 775.37261501687192, 776.11207097285626, 776.47902997447773, 776.86569167089942, 777.84144905063476, 781.77524438438218, 783.20041815191007, 785.17518783445519, 785.77191119316637, 786.15225208483969, 786.42543070318709, 787.34683051923605, 789.10005287176398, 789.52945073423371, 790.08232086637736, 790.8627765845813, 792.29610198184787, 793.57670536784622, 794.25353081901176, 794.6713917245047, 795.81055172076231, 797.49730649162109, 799.72076970185356, 799.84430568154278, 802.06271768234888, 804.41450981815819, 804.86385721504132, 806.13552716748893, 806.74739345916907, 807.11085817580511, 807.49727260021439, 809.36320191721302, 810.11692087595804, 811.46297379135706, 811.56111670564633, 813.11123712416713, 813.67416474836591, 814.56406249409747, 815.67058818512157, 816.14551436572992, 816.60159858780253, 817.32645302120773, 817.51484113440449, 818.14801680934318, 818.16927423705715, 818.25860644085753, 818.5090884827631, 819.42375977311599, 820.33816978414131, 821.38903111755428, 821.44333920880649, 822.17952906482878, 822.3386667484566, 822.83465132398464, 824.18271042737661, 825.01373928966075, 825.58314347131693, 826.13882949696301, 827.46624204112709, 827.57798347681489, 827.65059690796727, 828.15629938425263, 830.17074808858331, 831.35572085913384, 832.76314482775604, 833.72228787990537, 834.46132319271726, 835.58656349877958, 836.19195971907925, 836.86043521022771, 839.25776920438011, 839.83570126853226, 839.93269824067647, 840.16951998920138, 840.19698130114386, 841.47990593225643, 842.51452619025156, 842.55341480199922, 843.52482837524633, 843.87303102876933, 844.59956693990796, 844.81656256675205, 846.0338106621939, 847.01463989456181, 847.43235468681894, 848.61797506190737, 848.64008592287678, 849.43227538942961, 850.02274680857897, 851.90518769154323, 852.08481496250192, 854.96802071641696, 855.21988969689255, 856.18131769427112, 858.81864556501091, 859.82616689368922, 860.7467234377765, 861.17690220765667, 861.72678652411503, 864.78033124551428, 865.64657026489215, 865.77944871079092, 866.9898717230584, 867.56885987878832, 868.78786583969475, 868.92719301574664, 869.50922541220962, 870.72226395089251, 871.43289771281911, 871.52674445577713, 871.79589424639425, 872.10414130224603, 872.38694610227378, 872.42308491591177, 873.28662300963208, 873.81295703529429, 874.50763524770127, 876.17153523642901, 876.84571318513849, 877.10726621544359, 877.87141628111146, 878.15384952866395, 881.1753554012389, 881.66238791797161, 881.84053987963625, 883.03859072914622, 884.38646248536293, 886.14866441989273, 886.89705280272915, 888.0193506856757, 888.42653811261243, 888.64224729314196, 889.38426991824929, 889.62035912485271, 890.5138399078553, 890.61158767663994, 891.83174941205812, 895.26931674653088, 895.59067171917138, 897.01839985496815, 897.0559461482062, 897.3036958464287, 897.84090707139683, 899.63837258999922, 901.8309323222951, 904.34813051557876, 905.31240948837706, 907.37251351299165, 907.70308226062718, 907.75160723107899, 913.15960306403008, 913.97863771666596, 914.26392441053679, 915.24759416822974, 915.27664639929765, 917.7464605734059, 919.73087070187717, 920.43319625856748, 922.37107882781004, 923.22408452001503, 924.05308785516343, 927.16551745472168, 928.4864870446047, 928.646215609102, 929.14692560916524, 930.220063867931, 931.02288678312652, 932.89324466242851, 933.62969681208381, 934.95828918128666, 935.77833011493669, 936.34580483611933, 937.87183712694014, 938.23395207343196, 938.35000282572435, 939.55131684369258, 939.85397896793506, 940.7406937688703, 941.21187879956994, 941.3181276852722, 944.49612901837509, 945.14852101769486, 945.54486732275257, 945.85846746697212, 946.22001872167687, 946.32708027719877, 948.5355160785972, 948.84633944313919, 949.51677119014209, 950.7367033440496, 950.92573264840883, 951.10641521358525, 952.9005919844866, 953.24773729385254, 953.3889853546342, 954.15537422945124, 956.9170220202285, 959.28307525821458, 964.0900542522761, 966.3450524316055, 966.37528353534833, 966.73339211455595, 967.51891968978066, 969.28997503422215, 969.35650691414048, 970.87505990523948, 971.86452159858084, 972.87023583268842, 974.74427880861379, 976.69171403999746, 977.234051382796, 981.66584521830623, 981.95999530810468, 982.04686032190796, 982.66776901803769, 985.56373119438524, 985.97385287030329, 987.29233279998812, 987.53264596964368, 990.93995114714892, 991.40810743997372, 991.50501930163034, 991.62373867217798, 991.71388030715923, 992.29891236901233, 992.88912070557478, 993.49094922099084, 993.77447835447526, 993.82680700630704, 994.37914985420025, 997.40831222794475, 997.53442207721241, 1001.7764501753413]),array([66.587049116200518, 68.869132002688275, 68.993065462371391, 70.337705939958084, 72.833935211285407, 75.461427390835752, 78.177967766011179, 80.148924659411406, 81.06981343478347, 82.298365241514134, 84.150640359170424, 84.795114443397154, 88.245723671709527, 88.321165223394146, 89.417237528037148, 89.479644725381704, 90.117718497539826, 91.804128811678311, 94.484122806146459, 96.981997213773951, 101.56921551482357, 104.85587404343833, 105.82134539478845, 106.84525078027821, 107.15683360078832, 108.14517455363938, 108.24775961413795, 109.36701829704556, 109.40415338776359, 110.37664574285678, 110.60040145867652, 111.27349258313259, 111.85272962444522, 112.51376382828242, 112.75824485585321, 113.62714526832923, 113.80881574755212, 115.85276540905718, 116.44505263029286, 117.44525813151149, 118.45494371580884, 118.86569817882602, 120.60156934901808, 121.84249402204077, 121.86689808610387, 122.2468382170256, 122.66847194311757, 123.08012653791043, 123.22252741342049, 123.40036412851482, 123.63437334353817, 124.9456661572089, 125.9745880286869, 126.16096184166864, 127.44615615948241, 127.6478339590428, 130.14874438454169, 132.25285162854505, 132.74068408241413, 133.31797325885984, 133.780037898796, 134.63036827463068, 135.67242585256454, 136.10841396171898, 136.66971865577716, 139.90027865894078, 140.52395601248062, 140.59494146117817, 141.01718272620289, 141.45419033134954, 143.34678740925972, 144.15847044771061, 144.41867411230282, 144.62956309937817, 146.01690050728945, 146.26996462888667, 148.91629689897189, 149.31509314269059, 150.29375870941053, 152.31957566791587, 153.31613898591917, 155.7360074036439, 156.4000411410797, 156.51293191786752, 158.24106819244759, 158.3834539029877, 158.47281047577422, 162.62547456898992, 162.84042788085455, 166.5778560572908, 166.86259523888538, 167.18511890579688, 167.297238945223, 167.58658932983158, 168.01573515646785, 168.85393192330568, 170.12312440620181, 172.32594239351508, 175.80384191878227, 177.52220783449857, 178.84325453750998, 178.92007602963488, 181.14567161149998, 182.16633076471217, 184.04710751737741, 184.14138865373295, 186.26485406640202, 186.70655427491593, 188.50468614037484, 189.12053466378094, 190.87665453550719, 191.75930999146323, 191.85903675661203, 191.92324147291035, 192.12498982241792, 193.49089523200436, 193.70195982830282, 193.91226069654422, 194.76419936184254, 197.01296173774981, 197.43886757589792, 197.81415315270735, 198.33689093364393, 198.36691053213653, 198.5316310619047, 198.57928815104228, 199.13365047303566, 199.61801299976815, 199.78667421011608, 200.35844606599017, 201.73041224157376, 202.54498811517149, 202.74346620126423, 203.59320510239385, 204.09732184689162, 204.12204485582009, 204.93394078569085, 209.12480659189777, 209.78536809669143, 209.83385295402368, 209.88734886231683, 212.41361999089938, 212.54265733076173, 213.26397083952492, 214.08059112379908, 214.53777226710582, 215.12589159455473, 216.58961342406658, 216.73047321308795, 218.05551194734474, 218.49532439221304, 219.90033684779121, 222.42609624662708, 223.54334063910682, 224.19787677980193, 228.71590620473032, 229.83711543158853, 230.26060357147185, 231.03028328336387, 231.6403226480862, 232.44368423492938, 233.86115404574497, 234.37545772696723, 235.45630438733656, 237.8713281324944, 238.4654454772058, 239.56264467151752, 240.03707372404943, 240.15172489020034, 243.78017044525248, 244.39589201933893, 245.56657163521868, 246.17165335911847, 246.36285803904789, 247.64514503542367, 247.96115010081775, 248.5793031613689, 251.22874386902953, 251.39774294934045, 252.97934372676835, 255.70562635504345, 256.57122028706129, 257.6321367335434, 260.6907915853559, 261.74616420427367, 263.29869390609019, 263.93801221779836, 264.17167321283023, 264.63256619099974, 264.81830213578377, 266.33767315167546, 267.02530935905077, 267.73960039825039, 268.3621889932752, 269.99692499391341, 270.29660993473806, 270.77086630639604, 272.54403912411198, 272.97472341789154, 273.31214086648362, 273.53564227777707, 274.14621070024839, 275.14466157786904, 276.1674901201589, 276.47654443176469, 278.59843469789342, 280.38413813627579, 283.10169330556863, 283.85987555788699, 286.16763251856537, 287.29450986465588, 289.7935006562642, 290.45885906454748, 290.74544130951716, 290.92436501622444, 291.24016654962486, 293.19653412454539, 293.80582765385384, 294.86234443615706, 295.23979056178825, 295.40323260931723, 296.28411113248302, 298.15386150214101, 298.55828017430423, 299.64036731784199, 300.87107282471482, 303.37207181818314, 304.04984859305222, 304.53434175835702, 304.65788888876864, 304.71110837710654, 306.54271094984864, 307.26955635163108, 308.41313269873996, 309.13599533970921, 310.0508924162437, 311.80165747306677, 311.93308668691935, 312.34510621479239, 312.60724910000079, 313.61002331091532, 314.03762487940782, 314.27885566737189, 314.94698358545071, 316.17699816695512, 316.43550407659382, 316.58601125195054, 317.07155908724428, 317.23028901680402, 320.56501835352822, 320.74482138425958, 320.91809155286779, 321.32836629620465, 322.52051139857485, 322.82649920728375, 323.3319786724266, 323.6517258847241, 325.22260675145674, 326.14715805950101, 326.67952778247451, 332.10055713071546, 332.16594733172531, 333.19456000500008, 334.00582293290103, 334.46785218398855, 335.09447391723813, 335.72437067008758, 338.69669090284606, 340.8526632889629, 342.97017506662957, 343.77103678743248, 344.14280828261604, 344.89306991575893, 346.74019876287997, 347.04966534688765, 348.21462554474311, 349.90443805568458, 350.03881885603687, 350.08871707669044, 350.37616980868961, 350.81287662445527, 351.3289913059142, 352.91917496141212, 357.31557487225382, 357.77334259133141, 358.99348012890499, 360.8734691141309, 361.04795752406898, 361.13046960908537, 361.69684555533405, 361.97669936646963, 362.81825081689169, 363.55688104183218, 363.97272225516201, 364.06451296441861, 367.07387848588451, 367.21897465894631, 368.60346535340301, 369.01543868366463, 369.20462715895474, 370.53205176834217, 371.32976553035684, 371.85741351144293, 373.02355136098987, 373.17533905808267, 373.34135677268034, 373.93960733351469, 374.23806819250893, 374.34279069754712, 374.95693948890136, 377.2217106228639, 380.17675297929623, 382.81429334448291, 384.02073574544869, 384.07841652339545, 388.73730246144379, 388.77873334931593, 389.79667012247967, 391.64599861603546, 391.93154754955913, 392.04702363359502, 392.62557802785329, 394.52647819274972, 395.87610283473185, 395.97433269932776, 396.12925939568521, 396.2116240253626, 396.74762288981719, 397.17321694730674, 397.78718948150799, 398.3131092809511, 398.33348247591459, 398.47612200393604, 399.17471900323471, 399.41612465077918, 400.95310834628231, 402.70170205711588, 403.9514094922414, 406.44068768175634, 406.5707112541715, 407.44916036898132, 407.49978903822114, 408.47866453146952, 408.657111743001, 410.13467435900998, 410.36589703945384, 413.0729344922002, 413.23146024612061, 413.28285545354225, 414.65586747407917, 415.06981016564873, 417.74416502364363, 417.90258173476371, 418.06743488081707, 418.13779700190889, 418.88044030874187, 418.98342954787466, 419.44009048822642, 419.95964586876772, 420.71272008890855, 423.80677373885112, 425.03434569411087, 425.15565016427132, 426.34940599348295, 427.71457686930319, 429.02100195053077, 430.80897088295291, 431.44709755210846, 431.9131686891152, 432.06628326379769, 432.11971012707289, 434.58100297907441, 435.61024235347571, 436.0038237102529, 436.69413555658997, 436.92159356527344, 437.05158545795535, 438.85793972846534, 439.23794275927565, 439.90593518408377, 440.52865324317111, 441.19490947033847, 441.4205705359156, 442.01949621495987, 443.09827286461444, 443.78242406471492, 444.72135649105775, 445.1608273994508, 446.08032373342616, 446.42553692532914, 447.96441277890585, 449.59133376533725, 450.6619004345236, 451.62959993420372, 451.6973939576315, 452.80787193181595, 452.98414772069987, 453.07717850937138, 454.93714185497862, 456.40420352279449, 456.70062069975336, 457.36837311517627, 460.45386202057364, 463.66401457537557, 464.49844627248433, 465.75349700573832, 465.96455287896742, 466.17316005840348, 467.35972770514235, 468.64771796663456, 472.67508284210976, 473.87604742798885, 477.26080594540321, 478.33296130266388, 478.88862325257196, 479.5547748626102, 481.21688545915055, 482.71345334662334, 482.93985626310672, 484.13026026408818, 484.74995049837167, 487.08135146204262, 487.90658167337625, 488.75787233588255, 488.83023917302779, 489.30076595737125, 491.20799665988596, 491.30690304749476, 491.45132292197576, 492.26911960803898, 492.70724799262888, 493.41614649280632, 495.84794899502344, 495.8694485967676, 498.84328890363827, 500.08241475592166, 501.49651103955398, 503.99804810151323, 504.7352514701725, 505.66682718655113, 505.87004525802212, 505.93029736745075, 506.12564020808912, 506.33260950824274, 507.79273736996078, 508.18600578317825, 511.64039092155593, 513.00986213586509, 513.42663447952305, 514.16290888278422, 515.18015966937139, 515.23503754257467, 515.66301360870682, 516.584554644484, 518.00916675594738, 518.68436763663169, 519.13562013704984, 519.98152221430996, 520.89509329410384, 522.18568342440437, 523.47212105773019, 523.8917204118984, 524.68938324567284, 525.60411373273973, 527.29179982660492, 527.35335548895921, 528.18045180797105, 528.54859648565264, 528.96938548611934, 529.17045106437058, 531.62059888506678, 532.85507494146918, 532.99460762792944, 533.42315613507935, 533.71009360859523, 534.90120728101726, 535.72719887134656, 536.57525554437484, 536.89791949320454, 537.41264307008453, 538.02522175586489, 538.13535490957338, 538.26224842684201, 538.54114905611459, 539.36430999338711, 539.74924217070395, 541.72309653337811, 545.56133404360912, 548.36946652330028, 548.94133300287331, 551.08606126499569, 551.259495923793, 551.33978135294353, 552.60741301888265, 554.2666599636409, 557.70083898866608, 557.87361096347536, 559.81775800640764, 560.37097504139456, 560.54543867752636, 560.67826957710474, 561.37387125361477, 562.16850786964005, 566.61121717500123, 566.78207787339079, 567.33626577516247, 567.99166455062141, 569.04221660964652, 571.3044888700465, 571.67196092654831, 572.58001488415562, 573.29431828396753, 573.73392398688316, 575.61760178123996, 576.89273924402278, 577.13328093675511, 580.93915943099228, 582.34927280198633, 582.86743552045891, 583.14892951584761, 583.83366537934853, 584.35768180767388, 585.12844885768413, 586.08364458102085, 586.26866948941529, 586.87638552355168, 587.72356520543724, 589.70482562819723, 589.8080999569213, 589.86689430059118, 592.08445318372696, 594.10117879731354, 594.56583445054753, 596.99876091134831, 597.13435823336602, 598.0774705006844, 598.41765920235514, 598.88105296964375, 600.34140852530322, 600.37439941357263, 603.03123710786451, 603.7774935575676, 603.85006884017184, 605.76645000626934, 607.09081635321047, 607.9804276346016, 608.08382091904093, 609.84392480444785, 611.24901902008685, 611.75335671135963, 612.56867233996968, 612.99637867919046, 613.46725636640008, 614.60859788210882, 615.04699085521872, 615.96448598827715, 617.84912101119357, 618.16060620388714, 620.19728238189271, 620.85829922919686, 622.37836574153573, 622.54659582080694, 624.91946054536618, 626.66621861441672, 627.19128911344944, 628.1212835518279, 628.91340600463161, 630.96861798870282, 631.36031817012599, 631.84489930926736, 633.70649983435055, 635.381045509758, 635.71874909268035, 637.10377113503989, 638.01861778485761, 638.63467276210076, 639.29149301303664, 641.84028038708232, 642.03176592054945, 642.08430101205033, 642.56116460795033, 642.79938073224343, 644.06027585791981, 644.24640332703063, 644.53892848742089, 645.89276900804327, 648.12460749883041, 648.3674260720976, 651.7408595407652, 654.86621739438988, 655.06599743695767, 655.62534582893215, 656.16755321513915, 657.0653056450958, 659.84241262243722, 660.44637941357121, 663.71349254028542, 663.78415290483258, 664.34218628842711, 664.57394425169866, 665.86700222838215, 666.5123254941866, 666.58007803603357, 667.19043490840806, 668.2690691894162, 670.11694105651702, 672.35549677327026, 672.96057956800121, 674.2161784426512, 674.49521760580194, 675.05855906422619, 677.74903142927189, 678.42161333667127, 680.92487215233325, 681.4836216522823, 682.61804068117976, 683.37469355048461, 683.75484794893214, 685.41472672550458, 687.56262590258348, 687.79557385257635, 688.05922125188715, 688.57936904204553, 690.46312986376722, 691.44871820635251, 691.50836134695749, 691.73494112308686, 692.47248289688741, 693.8639552652354, 694.50062470724697, 696.74350692796202, 697.66167298326775, 697.78109665888098, 700.22791314452627, 700.69816927355271, 701.63712135818639, 702.4268893442611, 704.03557713473992, 704.37625936573147, 705.61355542652541, 705.9209235713696, 707.71246847275177, 708.6678860804293, 708.98769452191868, 713.80702508785737, 714.35908673037306, 714.46704942657038, 714.60418390193161, 714.63264734573738, 714.77840155835713, 716.00672834072066, 717.98511024833567, 718.75264254723743, 719.14219780334429, 720.84513308615362, 720.94639513608126, 721.36299499433403, 725.12238304182506, 726.92702576790305, 728.9108028340371, 729.06610131156208, 729.65733228325871, 730.4763173954783, 732.85630188564073, 733.22293343716024, 733.33399969451716, 734.88825376631337, 735.41027317245857, 736.23296039288959, 736.39606232319284, 739.38219905291248, 739.76463330022477, 740.33456487639592, 741.53267700962294, 741.58763755505913, 745.05736263666245, 746.49364779961752, 750.34954023742557, 750.73983726904407, 751.38590492913966, 753.0947766601746, 753.21930050019841, 754.52362672459242, 756.72206133557302, 757.22347613046929, 758.15034950483505, 759.29913974836438, 759.52951098450603, 759.86665303901395, 760.18757717933988, 760.38023048586729, 761.83054776160293, 762.03218031325923, 762.64356749587432, 763.43034329542422, 765.6717795766989, 766.88986328849239, 768.04983562080349, 769.10635531928347, 769.41457063930477, 769.91422536444293, 774.95258870414636, 775.95032831775006, 777.10048157840333, 777.33901127865715, 777.82841868398862, 778.54455511702076, 781.51764020484279, 783.99864545066418, 784.559828069795, 785.25388513083931, 785.33982638133693, 786.12266582563495, 786.67499577586136, 788.46458360620488, 789.03373701893611, 791.13908323060889, 792.4544440042356, 793.02225379625565, 795.91947367186287, 796.82450164714692, 797.14364439290978, 797.57382998043056, 798.66273845616684, 798.73225894857239, 800.4302972363447, 803.41242901617147, 803.55470768976568, 803.72612221847817, 806.41644185634527, 809.22307677457331, 809.81914804923497, 810.36071997627641, 810.77346903638204, 811.44511267962275, 811.50856957706151, 812.44704635947835, 812.57800874449219, 816.56636900410047, 816.86343867094217, 818.67384105697363, 820.533301355341, 820.90769316754302, 821.14668990426503, 823.69744408777649, 823.91678355553495, 824.9758430301913, 825.95734690284473, 827.01065268460729, 830.08520186127782, 830.1896498980135, 830.42762043142648, 830.61021255140861, 830.84802886811644, 835.20043077089269, 835.91490268160794, 836.33536522043858, 837.23344670147344, 837.43418184138989, 839.10333244255628, 839.58718597647089, 839.83220496147862, 842.41748337271304, 842.55074506857034, 842.7413023797385, 843.26624778797498, 843.32325956374268, 846.57481972272728, 846.84052756051176, 846.93982036540581, 848.27609895416822, 849.14700454520914, 849.23826754898482, 850.03403820374126, 850.12035120782127, 851.21202168077491, 851.53720189872104, 854.72560106276114, 855.27651562635037, 855.3597906109668, 859.20119263969002, 859.44429591303697, 859.61090250096402, 860.46337878802012, 862.75826286909592, 863.00935476224004, 864.61851219349057, 865.20279116502206, 865.87556190653925, 866.29188453381425, 866.59972808819089, 870.61312854800349, 871.05464134887814, 871.74944849750386, 871.7702429283845, 872.00489479430485, 872.10272995336209, 874.18369604403495, 878.79195427532443, 879.71037352177871, 881.79460314615926, 884.485503960247, 885.3793470076522, 887.10538230988345, 887.62603624495432, 889.13115434785459, 889.76875874469124, 890.14030459453863, 890.67462647214813, 892.91650434422911, 893.15812361613689, 898.61908582336764, 900.97526311961337, 901.82077423355338, 904.02684909541529, 904.91948829124942, 905.70528525328598, 905.87015660214934, 906.03438001562051, 906.21406880273435, 907.06539632985346, 907.47392215034051, 907.7332703257124, 908.62550114654823, 909.21633048781803, 910.57659720369838, 911.39739675503893, 911.58647287490555, 912.73182651618868, 912.80759157475484, 914.58023283514501, 914.91674882790767, 918.18921700319379, 920.52054798099755, 920.68917085255248, 921.52102872190267, 921.82099324980447, 923.5577112559954, 924.4942861744936, 924.56886826406424, 925.29546739574027, 928.12849459331721, 928.27101689424046, 928.58354266344611, 932.88987900005191, 933.57076628983816, 933.71825106973881, 934.59306312693184, 935.89031053944939, 937.54780841767945, 938.84041663264918, 939.65846100011345, 939.94837118104329, 943.40610275063364, 943.55276813770149, 943.67219039155441, 946.66049605345847, 947.67645425634373, 949.02523399460256, 950.31273834368562, 950.49829243046327, 955.34765499883838, 955.68373660299835, 956.14409150696224, 957.33068062248071, 957.93692016127318, 957.95844623855487, 959.07972399460084, 960.03015534634994, 960.76445846925753, 961.99777709105388, 962.7477478896709, 965.54136150049396, 967.78896776017132, 968.93507804832177, 969.41531458531199, 969.7992654136566, 970.58439752173456, 970.68859649213573, 970.84138347553778, 971.37418848454786, 975.33358454609765, 976.14590065272148, 976.37001395346908, 977.2524111233804, 978.67575670472809, 978.71149560258993, 979.64097316181255, 981.12986342543013, 981.17533404771928, 984.18396857441019, 984.27882869710697, 984.72606556599533, 987.68870869508999, 988.23299734555098, 988.96423273914502, 989.2462164279475, 989.66646934162895, 990.1442845465026, 990.19595298653428, 991.16831144940693, 992.35898464682396, 992.66098691802392, 993.14263244495135, 994.00114089270357, 999.10794937698472, 999.55906047680821, 1001.9514927950138]),array([26.773167707727573, 30.16413676719683, 30.512123858019624, 31.632593100996029, 32.171408033502125, 32.30917126583433, 33.444851335612611, 33.618406736671275, 34.909468103300895, 36.906197629435667, 40.277984866027047, 41.447480248886222, 42.478887876958282, 43.553746657485206, 44.287137518756758, 45.757981984686552, 46.95463444751779, 49.263749769940596, 49.852165506925353, 50.57907163118368, 50.978770103573325, 51.992072252689354, 53.191136959278452, 54.98745063253579, 55.089556473270889, 56.176431346013963, 60.177405481980308, 60.268262177285756, 60.541855215480858, 61.073026530415355, 63.009392235981998, 64.206113083315472, 65.290152460069947, 65.385355349499179, 65.492580124177394, 65.533365993687511, 65.85915736834194, 67.328224143592919, 68.633977837011088, 68.689920568427183, 68.842057111487492, 70.830501498682949, 71.356058422904169, 71.850404253367145, 72.938629435945543, 73.324009250137607, 73.911820829509253, 74.795774524473302, 75.299288585647332, 77.109907619383577, 77.665692847182456, 79.552159288127513, 80.426596661976419, 80.700824534042795, 82.905547991426417, 83.855446411009467, 84.282238898305849, 85.582488884932076, 85.703580800835368, 87.693348688743072, 88.026079166589668, 88.13954108451145, 90.476503170524865, 91.010589310297732, 91.172062411083274, 91.209537373333134, 91.720758362681465, 95.997589971837925, 96.518018717352419, 96.943735432475791, 98.674924997118538, 99.382237561599311, 99.517750360085728, 99.949383972993019, 100.83766608422705, 101.17103754690737, 102.91288897559107, 102.95656453757748, 103.18028100314024, 106.38044086539598, 107.43967500189389, 108.53649415466732, 108.71572080275085, 109.52487087920559, 110.42808711749885, 112.37323754356673, 113.6092086108662, 114.05581976772923, 114.16009729733175, 114.88393042134329, 115.36467237540309, 115.87378697054255, 116.95455034332625, 118.69542818610606, 119.62589238592177, 120.82354073913852, 120.97317630789588, 121.41826910931928, 122.19564024833505, 122.26841454534379, 123.14921937645812, 123.35520220245726, 123.68980066728329, 123.87116577493383, 124.06370619141916, 127.4320772407457, 128.00931135453834, 128.83661312592486, 129.41299670498836, 130.38880593668702, 130.42513147842084, 130.8446779040901, 131.92900044597462, 132.36813479404637, 133.23534035038088, 133.85761430076167, 134.67788763151685, 134.72695753992474, 135.79929473616323, 136.17241857543169, 136.59251931243944, 137.03909775305675, 139.20509494674806, 139.97669393229063, 140.21148409065455, 141.09265384488478, 141.14348571220046, 142.07266398780297, 142.37200320387893, 142.92849551275646, 143.38001423649828, 145.12989250471563, 147.73679686896318, 149.24349383142058, 150.89461013878602, 152.88053466983783, 153.87640469591304, 154.59627484750504, 155.25843033607643, 156.58427638788095, 157.64434215714937, 157.95089998291672, 158.40296150024741, 158.58580715569011, 159.92115265219803, 160.43867375920266, 160.80975399551119, 160.93450446061024, 161.01019517563142, 162.71995825759203, 164.53335236003755, 165.12626261826978, 165.32048211170806, 166.47671803136259, 167.97093462726602, 169.18356589708196, 169.70670236036838, 171.6211225117564, 171.64622565794585, 171.88705820427063, 173.30257043230785, 174.7772402082368, 175.52424200016912, 175.84807683575193, 177.57136538338915, 178.69561680881182, 178.96675159433238, 179.35446047294525, 184.00812992669745, 184.19239715455859, 185.67567078870152, 186.48133443718226, 187.08786700360744, 188.84747654357707, 194.39720086175947, 195.22743780881751, 195.74708185960438, 197.92459160567014, 200.09649344834352, 201.55433300303261, 203.90913600373162, 204.53455039707561, 204.57792838105732, 207.10923339661889, 207.61106032716748, 208.943443953117, 209.33163187929208, 209.38360175722923, 210.67507237543242, 210.69634781611504, 211.25826243359174, 211.44949657720764, 211.87332750698866, 212.36856402996722, 215.65640380240626, 217.19438557064674, 219.21127098383801, 219.62346566842098, 220.10910801392728, 221.96895707373591, 222.12219903323592, 222.81189122484966, 224.76503807458582, 225.79904683015965, 226.27543556718643, 226.34168855926029, 228.12076838235373, 228.35949158207302, 229.14323927777707, 231.40274233552364, 232.03802759590133, 235.21661536217044, 235.50300961672357, 236.8470973081578, 236.8708245962406, 237.14862953543738, 238.16620141231297, 238.62537409683591, 239.49679349903371, 240.81230559293877, 242.01301924155371, 242.21841360079699, 243.29071071264093, 243.55733475729662, 243.99555059128372, 244.33830596094191, 248.56727262811691, 248.8378559499356, 250.33173762478231, 252.02611256757837, 252.85214556260391, 254.19048499175875, 254.84534113111926, 256.25976170924969, 259.64436993071735, 260.00961912515572, 260.06642372760831, 260.15944543653018, 261.47228450327714, 262.30974076641309, 262.34627473221042, 262.96801770081441, 263.97059618705094, 265.67885565287685, 267.38950744881942, 268.14395085460137, 269.05484707259643, 269.36052241940985, 269.43796601453158, 269.58828652366179, 276.44081831160668, 280.94787307489929, 282.89794848405279, 283.27340170408354, 284.71027179924306, 285.08882692488601, 285.46916278499037, 286.98204179374716, 288.00959338101717, 289.04984331794549, 289.21411001862299, 291.17921650355038, 292.06009882225248, 292.71131895357877, 292.85064395838918, 294.13649562766784, 294.24212546291716, 294.64047409755921, 296.68889139474834, 297.88693829458276, 300.48913197725363, 301.25518060620499, 302.16765092969541, 305.17577930116278, 306.61938326167825, 308.94301811846037, 309.1906944056737, 310.09511939508099, 312.63993512981506, 312.94156465678941, 313.39859802867369, 313.78160042737022, 316.29523355521445, 316.60138102312015, 316.8801048282138, 317.24631992931444, 317.89815112932035, 320.30963802144288, 321.60774925847477, 322.75955338911041, 322.92407576815009, 323.86747693072584, 324.69027779914842, 325.4043560033569, 326.19883089608885, 326.82132355348466, 327.70182651116471, 327.96975035825557, 328.64998574954996, 329.06739208287973, 330.04766216354767, 330.77407500961147, 332.02053679388604, 334.07069104277042, 334.69168844879368, 339.5945316834152, 340.5019019916424, 340.91950564355022, 341.09750497827815, 341.79373922821583, 342.08469406129012, 342.98060433023915, 343.36183886364938, 343.68934303037059, 343.84743783156063, 343.91754748582673, 345.71679287626142, 345.78218356008165, 349.71644530460799, 351.54002311977126, 352.03149415308928, 353.24106281174522, 355.34175491287584, 357.14890138322926, 357.27861998815558, 357.30300286786121, 357.45799124245343, 357.68502881673533, 358.78361599434294, 359.27145300907847, 359.50202706693244, 360.4227306530147, 360.99885533423367, 362.20116929120445, 366.57918385181944, 368.7549884921313, 369.98662415065951, 372.35606321978247, 372.84768830137688, 373.38001627632656, 375.96016570116956, 376.525582241976, 380.14833799856399, 380.30221810636527, 381.2683888134107, 382.68622977521949, 383.23156566117558, 383.7382371873461, 385.25473505373503, 387.19941574846308, 388.18340891736369, 388.27893732590866, 389.10830103255068, 391.45538468105559, 392.1872148443299, 392.90900994002271, 393.63413836550518, 393.78440327528256, 395.30625795403211, 395.35680625998839, 397.12473304664837, 397.14669481425699, 398.85035130321393, 400.38623080996462, 401.70660811775412, 404.25266347832473, 406.40401059785802, 409.79311481392125, 410.22414424030694, 411.10921514372313, 411.50311211656646, 412.35067650239955, 412.99444374871933, 414.16934389399654, 414.60416443700819, 415.50609957784468, 415.97435843722451, 416.20142702958503, 418.08981231509966, 418.63131761903537, 422.0660040588906, 423.81364631077349, 425.5088080073607, 425.70881975410748, 427.14635265180311, 429.55862277521885, 430.90742851873853, 432.86975550973676, 434.76012776868714, 435.99326897624712, 436.60611351153011, 438.73453345536967, 438.84438820905154, 439.18529950812103, 441.41665133685586, 442.93183127313387, 443.1218715741548, 444.23915471068915, 444.33751080675893, 444.40137497178887, 444.4350587030234, 445.37323377919734, 445.74336142240998, 447.3572967221005, 448.54352143464894, 448.74993353482972, 449.11075999357934, 454.38124289466907, 454.83201784833102, 455.35683151272877, 455.45813153305932, 455.70188968583022, 456.82992499536363, 457.5978735217945, 457.82484013898255, 458.69696346247787, 458.87425221473472, 459.23429768228192, 460.61215523472549, 460.65224392237894, 460.82798318784654, 461.23586644144979, 461.66070233627738, 461.85888622059605, 462.14853310234764, 462.66444587368471, 464.33460565974372, 464.98876219715481, 465.82444954139748, 466.90042985149449, 467.06999703352705, 467.88317242936915, 473.42239861350396, 474.1206818537583, 474.76222363375297, 474.79990493915591, 475.41640463469071, 476.4331024866475, 479.03405504850377, 479.16097996353159, 479.96572583506213, 480.57467009119409, 480.7965803020511, 483.50206036773255, 484.01095221913221, 484.20076112222216, 484.83535391909516, 485.20213835066471, 487.44216270228446, 487.78245620679263, 489.36321227763131, 489.7526778010776, 491.05696847808622, 491.43726431274462, 491.58726118969037, 491.93316766566494, 495.17375212769628, 495.58173583871667, 498.21645655776956, 498.95858488023111, 499.78460053854957, 499.87825587359998, 500.10967876729075, 500.96683337221214, 502.3860925693491, 503.5043536652849, 504.61565956580455, 510.68456204203108, 511.65968262296389, 512.25819230212869, 512.76730903146438, 513.83750286142458, 514.94239122692773, 516.81651071238832, 519.42065665159623, 520.47496097395504, 520.74933373741396, 521.69807720624442, 523.90572116953899, 525.35274208004228, 527.05481781705487, 527.96651849567161, 532.94839948644267, 533.87157723550365, 534.10013487295168, 534.42561287592446, 535.57349803718785, 536.68057421483093, 537.13160726904096, 537.92034516315812, 538.32479052731696, 539.74639502932689, 539.96531477295457, 540.21569617913644, 542.69342927920786, 545.84704332576268, 546.06408758823932, 547.39016027009779, 547.81301921071679, 548.75840309325804, 548.8126567084721, 550.37370721790126, 550.54349741156136, 553.94660105778735, 554.39746018769813, 554.85975254538232, 555.1713020304669, 555.81726013018863, 555.94616383850155, 556.94633662526917, 557.14208473953067, 557.25463208142014, 558.4942325629853, 559.63555476809381, 560.38708932747522, 560.56586923894247, 561.22987239456279, 561.98087599644077, 562.6835820950779, 564.06156512962787, 565.70382328476614, 566.95619540741461, 567.73072052722966, 567.97295248244177, 568.20593826112258, 568.73290504085776, 569.88297390754292, 569.93718504687513, 570.37448592793112, 570.5874924837143, 572.01622143043642, 572.16998625809299, 572.4293839936056, 572.60574170236146, 572.99773580040767, 574.046194804366, 575.98268209534069, 576.44594499972652, 576.81941137803278, 577.12420271784868, 577.8621421222814, 578.47812670101632, 578.78653072884845, 580.58464411991952, 581.3320523319062, 584.06320867742556, 586.45297492448651, 586.96095894517941, 587.39161699071133, 587.76637857927392, 592.68199370984644, 595.23644473554316, 595.72754790491206, 597.02692504070978, 599.33040074648773, 599.58270808483906, 600.88922422107282, 601.92819363449792, 603.50826195869899, 605.84951507179107, 606.74169816293238, 606.77476357251169, 607.13098775570052, 607.25565538924945, 609.72817589070576, 610.2006566443622, 610.31110812162012, 610.82232513847782, 611.29593380803453, 613.51546796699097, 614.2063530037467, 615.36588161973498, 616.33332220899479, 616.75815086294983, 617.93099723627688, 619.58590771243212, 620.73177590212561, 625.56104927318893, 626.4037854863243, 627.00803258985241, 627.06179089593729, 627.33777450635296, 633.93148843053939, 634.48726050789207, 635.13696291793838, 635.77575872874229, 636.95372094279412, 637.47360168419834, 638.71862466857124, 643.37358730885057, 643.74864556580906, 645.47651118695489, 646.48180101814819, 647.27064454485878, 647.31262223245994, 647.75221541903795, 648.06200584687133, 649.81549644260724, 652.74080257804599, 653.59395644371443, 653.9419126030723, 655.65458100739249, 656.28348373290089, 657.24815774534386, 658.33123411586655, 658.67802266703529, 658.72622105093262, 658.89732053046714, 660.53270524743016, 661.92044153940901, 662.04824948433964, 663.19376347934337, 664.53958913141958, 664.80156828159193, 664.99121042655588, 665.501277688389, 666.66136727893263, 667.5132753584254, 668.83813981738513, 669.84915262016284, 670.71485393730768, 672.73895164574151, 672.81031001970837, 673.06725851044575, 674.70329579631471, 675.02415992386921, 675.83259115260535, 678.78708877063275, 678.95223563987599, 679.46643456020729, 679.95386875039446, 680.71973919170375, 681.76902469541938, 682.3716776821135, 683.24804233301325, 683.35427189168558, 683.8516777527077, 684.05298274201994, 684.73358890999179, 686.00348069368715, 686.02439221862949, 686.8831444799381, 687.41674587298075, 688.39661080016799, 691.04776204496716, 691.68367963818275, 691.77631869666254, 692.75546512490428, 694.33013262538452, 694.98804161593898, 695.80425248975314, 700.9565327819605, 702.07315737174281, 703.16597232266042, 705.22452744773648, 705.27465552981766, 706.30316301327787, 706.5647434384889, 707.46006936755623, 709.03795569264651, 709.14783007080291, 709.54875633165625, 713.56792305937904, 713.97136905267109, 714.07867805044793, 714.51796404896163, 715.02548808004167, 715.83005112841829, 716.6404111354808, 717.02439136917906, 720.15689564898526, 720.43361552264798, 720.63730523035258, 720.75919853312553, 721.06193080874516, 721.25531597676729, 721.41561510693009, 721.6865409792631, 722.27608066930134, 722.97180443181639, 723.69840068952772, 723.79633768170743, 725.07001995052758, 725.43624734264017, 727.74779289799471, 730.45600473351601, 730.52359318693357, 730.91566239272015, 731.3230131398833, 732.17009591068563, 734.47932962190839, 736.00326537681337, 738.15310762182912, 738.65703388739269, 738.92990432141971, 739.15876722632265, 739.33058098593904, 739.95467921104068, 740.15027695979427, 741.48001649217633, 742.65424407814305, 744.47202901440846, 745.4383960395221, 747.82674152706159, 748.74004517489868, 750.1332810590286, 750.84436821690861, 751.28822316153025, 751.54355267382721, 753.48165550507451, 753.78998406395465, 755.74985345564767, 756.54307640616844, 756.88936790551941, 757.50986754484359, 757.91675898819267, 759.57839701354135, 760.09502594886294, 760.91720480664731, 762.42167934269639, 763.57375563740663, 763.87500456461055, 765.37120656407035, 765.43704869166982, 766.43456609299062, 767.61993219755686, 768.7892619214316, 768.85317496592722, 769.47705980594105, 769.50378789308684, 769.79833784996003, 770.40940284205999, 772.23247147002178, 772.494771620449, 772.58516974864244, 773.48633744349036, 775.37051238948754, 775.7548231599194, 777.4427223685077, 777.50542680627893, 777.59302859168054, 779.81979976809578, 780.09972989241601, 780.9155224449546, 781.23596280759, 781.32332748490251, 784.46837259377446, 786.13861588793577, 787.6130792338829, 788.36582701458485, 789.88232469303796, 789.93428649361783, 791.32222827180101, 791.44742114544738, 793.23153889486571, 793.42099403573218, 798.98270632138463, 800.42505568482909, 800.67819558515794, 800.7753523364587, 800.9305506752097, 801.36081724710778, 802.05838673984567, 803.04093419080152, 803.44870560996742, 804.58914433302982, 804.89436169240184, 805.10620699299977, 805.55962499361988, 806.90775028977225, 808.91535870445887, 809.7891679288914, 812.28065802608887, 812.44958959355154, 812.49653104919435, 813.11033543353608, 814.19873084451285, 814.30366722758959, 814.84476442760615, 815.66794749271253, 815.87654353134656, 817.79394265589804, 817.91202455334519, 818.04912701372598, 818.8713045596827, 820.48134680370686, 820.61925037133676, 822.45787342082349, 823.38842325774408, 824.1371498268345, 824.85507417879217, 825.86576808580617, 826.39287414712703, 826.53663276098462, 826.57619270945816, 829.32032837154293, 829.49010700311817, 829.8091738863227, 830.73005240282248, 832.09439845130316, 832.60175344629658, 833.32535890431802, 833.52516453232863, 834.28248657956874, 834.73553690771712, 834.97732562428257, 835.02268246175902, 835.69628767419385, 835.74677028478629, 836.95084929833502, 839.10218307655362, 840.26816958791426, 842.75506157985046, 844.5535139965159, 845.51975243069933, 847.83832888354812, 848.00344232346583, 849.27085759781698, 852.28831797292207, 857.82141108278711, 858.16497751387021, 859.13144774332227, 860.48955680824156, 861.64759661956418, 861.70645859320655, 863.26188806138236, 864.85309421148645, 867.0964546130175, 868.16301787453574, 868.56085857345602, 869.41790919638606, 870.39281773232653, 871.90048659387458, 875.68391863636134, 876.23832346952065, 877.86966309058437, 878.89902135448733, 879.95731296687552, 880.36315534516984, 880.53279324216453, 880.56776291757126, 880.94902636525296, 881.21671307029828, 881.41396068258132, 882.13851934335685, 883.39713710036949, 884.77103311270957, 885.66321324591991, 885.82961126791247, 889.23997528341818, 889.60651513203095, 889.98727339101504, 892.81468994039506, 892.86964653515133, 893.32936125215394, 894.53865443270683, 894.68107755475137, 896.08660848406453, 897.12674724242925, 900.71341401432971, 903.58926438989567, 905.83866524394693, 906.58211310800311, 906.62657674446029, 906.78530790528009, 907.21695107653818, 907.51058479788117, 907.98424653604229, 908.51412017689586, 908.5734167874665, 909.4569146321395, 909.66298004414693, 911.31402941438341, 911.41599980843557, 912.64965473536381, 913.10427915456012, 913.44345846178589, 913.7730068176545, 914.89817662381301, 915.70487951612165, 916.30188600645204, 916.38590179686298, 917.57798343230616, 918.69422969546247, 918.99137848704061, 919.41825525169941, 919.86719638861018, 920.31507537733535, 920.56891858900849, 921.03997716739411, 921.27304168649505, 921.40201306372489, 925.12271748019998, 926.53712386764028, 926.98420909148035, 930.29190467071714, 931.16412679161169, 934.76197047005144, 936.71423741670196, 937.37655649391274, 937.66046042150356, 940.12954776680726, 941.50144316238595, 942.72725420325128, 942.8547654567069, 943.24775954114523, 944.38552443006142, 945.10138563972828, 946.72423806755432, 947.78948889379353, 948.60002193703235, 948.77167905155818, 948.91038989572962, 950.77204938555008, 950.8827296924361, 952.07083388534795, 952.63941267465555, 953.64308473425035, 953.77998135648249, 954.14354476653443, 954.16877905577849, 955.62593555601086, 956.70902127686395, 957.73430283526238, 958.19998397486404, 960.70734541905711, 961.03300528420721, 962.08844937162928, 962.92397154345178, 967.74847144440344, 971.06374481666239, 971.5597692700909, 974.66019045628354, 974.88296994888856, 975.35143174691245, 975.81425033561652, 979.89819082615713, 980.00140379334562, 980.05051573755145, 980.75020418821634, 982.12082250887852, 982.39506747557698, 983.43822923131222, 983.86472363989617, 985.20461832158094, 988.58391316642781, 988.70128423185042, 990.27189586997554, 990.66767600471906, 991.74416857071242, 993.9997547361686, 994.08161977970406, 996.82778363286582, 999.22971935134444, 1000.7197918219158]),array([78.773299713933682, 78.829491506226915, 80.726535483530483, 81.402859262253529, 83.110554714657212, 83.745492389142854, 84.021373737876104, 85.502169818735993, 86.117214924394901, 87.754387881277964, 91.480662078855104, 92.470294370893171, 93.981225170384832, 94.939871382465, 95.841309803142195, 96.965616708666843, 97.406964281667896, 101.68638667706371, 102.34808167283298, 103.37202292054292, 105.42481250005733, 105.56892275659213, 109.39521269341643, 110.32984562269161, 112.69252100699777, 112.98463520549777, 113.85662636556917, 116.23567974569366, 116.6267704709209, 117.33222019824295, 117.89438952203514, 121.04954614731292, 123.59627940703437, 124.29214013705462, 125.07179868887826, 126.54538904746096, 126.63374206308779, 128.36376797980549, 128.7597439390664, 130.26793556218283, 130.42833426089194, 131.74442225698343, 132.71937278436329, 133.45269588413404, 133.71339594194583, 138.27694378498117, 140.77485701996844, 141.11553028991344, 141.59323300624078, 141.73089299681325, 142.35098468825066, 143.74739871684443, 144.09263473048873, 144.59164013414923, 144.89659307497647, 145.81865075622466, 146.55384408826558, 146.7045887268313, 146.90178539229439, 147.05205459930525, 147.12937096966155, 147.44585196720797, 147.98714030949699, 149.291575476943, 149.5022593114262, 149.65150336571017, 149.77567965978992, 149.84902889781026, 150.29096756842995, 150.96354270025302, 155.33153460320813, 155.9482462022211, 155.99063921406506, 157.42745055838805, 158.79668190844797, 161.19772195869658, 162.96452651896576, 163.83119015251097, 165.94743991703237, 166.02762973268568, 166.06833169181851, 168.64304287265799, 170.26502769250436, 170.59414451985393, 171.42820675354798, 172.06403327050722, 172.54938546548709, 172.71066415811913, 172.81450111993976, 173.04612729025627, 173.50113151665241, 175.7172313536845, 176.80014429705832, 176.96677926355906, 177.25995956889912, 178.95410124515766, 181.80350704288045, 181.93153738694531, 181.99307659300365, 184.05646983497959, 185.42320217002742, 188.21444885816715, 188.46943504965552, 191.15979537263235, 191.5664814367037, 194.70855140474774, 198.57562733764482, 199.33700249489198, 200.98613554722047, 201.72704989528737, 201.75599595939244, 203.39294303017635, 204.39949087798874, 205.72830756995734, 205.75342058571275, 209.87868061268233, 210.82894591276613, 214.23378869951446, 216.42256178051352, 216.70608144125083, 216.89268685562052, 221.10148459533374, 221.38717389181036, 221.4786615718846, 221.91056235814295, 222.15908199896933, 222.92898034138463, 222.97276924413637, 223.17799764615017, 224.60264319786151, 225.11908880334701, 226.0848913181913, 227.45928093306526, 228.18871965361356, 229.56740352359753, 229.69077503395181, 230.3631518532672, 230.97220750458442, 231.57572524711549, 232.35917122720332, 232.88923879158045, 233.7043989365026, 236.23850988574492, 236.76880931352548, 238.39270041851262, 240.88883708660333, 242.38159724121974, 242.72266134685563, 243.16860830494531, 243.48396467582336, 244.32917047334348, 245.05684005889503, 245.15924693255661, 245.5925682193151, 246.98320200907827, 248.06075526219695, 248.12600333373473, 249.37442390947768, 251.02473923367614, 251.0886226961772, 251.78459994579717, 252.02968735771611, 253.38866449458706, 254.10387150894485, 254.3606097473486, 254.76900574500149, 256.40022703125891, 257.06585092973717, 257.17401023199204, 257.71676606997153, 259.50038513920856, 259.60533829669805, 259.6734188557312, 260.79711119669736, 262.46085582240448, 264.61430550570418, 266.02256866213315, 266.56846467954011, 267.10684055468204, 267.49348214995467, 267.69383852587833, 267.78863417167105, 268.40922858135912, 268.64938190260557, 269.25692472071734, 270.03024720988628, 273.3905857002166, 273.97176668632773, 274.09881057251368, 274.13951045154784, 275.13798123732494, 276.28588242261031, 277.05798821920052, 277.49567262700214, 278.86911467360767, 279.84794659195478, 281.48489971151605, 283.91667584581393, 284.79200337762808, 285.45510208193946, 286.4838252241745, 287.12143622030641, 287.15345078744485, 288.17916733675759, 288.21119403776243, 290.36162615319006, 293.76287658471057, 297.91339443477113, 298.61546907784924, 300.17704052400899, 300.5763513130421, 302.96035961952612, 306.0795903434597, 306.53911168288431, 309.14792885845816, 309.95579518230494, 310.8057727655202, 310.93592950122888, 311.08278828492195, 311.41332424462672, 311.53844669944772, 313.91379740278057, 314.12669454880501, 314.95556498486434, 315.8355851164136, 318.21120699980838, 318.50985186578032, 320.35808688766303, 320.53948330218702, 324.52260639017692, 325.13929078796491, 328.70642189924183, 329.38159243600921, 329.62212390237198, 330.75857586584959, 332.44361220797265, 332.99537475365969, 333.40754752826632, 334.94146399763747, 335.20367886102736, 336.28402476543772, 336.61927241132901, 338.69366857932744, 341.20953755075868, 341.28884277120346, 343.45073755753288, 343.55727332402552, 344.06110280118821, 345.72474224613228, 347.05647328077737, 347.2135513312453, 347.94603467804882, 348.70212845400897, 352.39005260774763, 353.63549390105732, 355.63473209229431, 355.76084112324492, 355.91883685085048, 356.54789298262779, 357.7118967995732, 357.91706359986637, 358.50714161253376, 358.83982576628409, 360.35379808516592, 360.49339946656409, 361.31078674105169, 361.49883058669224, 362.63238739665059, 362.99444402169121, 363.5413098028373, 363.70487464892062, 364.67189793082883, 365.40486343244663, 365.52558354240375, 365.78457672894211, 367.24641401857298, 368.15785587657825, 368.27211060535808, 369.16285499568306, 371.88335606397499, 371.95529983066325, 372.77239621682122, 372.82554349845805, 374.50035514083447, 374.63736312483513, 375.01355554311118, 375.03429222303384, 376.27448401986157, 377.80970203517882, 378.92293119392536, 379.70328864052442, 379.72630502592676, 379.82561245458243, 381.32657658416161, 381.6870592388255, 383.59790199110239, 383.65626595361488, 383.93665894821487, 384.29202570063205, 386.70323945587234, 387.79418738721245, 388.94388125544504, 389.19320639202425, 389.32681354456076, 392.22247494564527, 394.05725331696999, 397.28978555986703, 398.58003028654736, 398.83963916119859, 399.37063455086474, 400.06703959356662, 400.19791250674183, 400.50729402738392, 400.5440076159573, 401.1915779179887, 401.44074023107453, 403.36488347225099, 404.72231450700883, 405.70818179360151, 406.35632866874641, 407.7409071361846, 407.98549306236424, 408.99149215823843, 409.23782752229368, 409.92575756353614, 411.13663346948255, 411.26832740366967, 411.52923013680288, 412.526827290803, 413.32941199405934, 414.20604390121974, 414.2912849258484, 414.95244911573718, 416.31417666107183, 417.61586406789382, 418.05219453906358, 418.44208410318851, 418.64426032830795, 420.57124778711557, 420.89369882727021, 421.5930613363995, 423.38850229954363, 424.96501893921442, 425.86121955342554, 426.85440314816395, 427.28815922985416, 429.50280065721068, 432.23124224934168, 432.618548158669, 433.30688758814881, 435.31200923431874, 435.69285274447429, 435.82354079375642, 436.53521210492829, 437.26342379446237, 437.41075447184863, 437.856182100713, 437.90147100744491, 439.00523391677933, 439.74403961760777, 440.91443630106875, 441.8358870048703, 443.30421354722756, 444.34559531380478, 444.61008193617681, 444.92197271498856, 445.86827406478022, 447.41164068650835, 450.38143451698113, 450.76404644345661, 451.77116589351931, 452.08900825692263, 452.25003495017694, 453.12222300205417, 453.74055536919889, 457.15278601979952, 457.94086518149419, 458.17860425895776, 458.86127542325289, 459.46329213672311, 460.99751771225186, 461.04755310496506, 461.14124392161824, 461.42186194575009, 462.18152629909019, 462.46183701412264, 463.72378944743434, 464.91672464460686, 466.37690475706194, 467.28487224106897, 468.18649061115468, 468.67844375610792, 469.67480247667476, 469.84236358411164, 470.03697399564419, 471.47072788799852, 474.12761561140462, 474.9382904583955, 475.58990457627186, 476.31445981825084, 478.08630128419708, 479.19843760812449, 480.80314369430926, 481.50162237467026, 481.96218164572343, 482.42042855495691, 485.24537103093076, 485.9885317348494, 486.83840270406461, 487.61131457104767, 487.87972405467718, 488.38257274635055, 488.70948641139336, 488.86147040985145, 491.35725379213915, 493.82655502564165, 494.18498030597181, 499.76092204485087, 502.65020404331113, 503.78959772753677, 503.85801133297156, 503.9384790849636, 504.12835871772393, 504.67140337185714, 507.77937668440143, 510.22677737754481, 510.2974869274218, 510.80034952662163, 514.39154632413602, 514.72332417129212, 516.03807709907539, 517.58079516869225, 519.31760516476595, 519.7328937260836, 520.00665124145155, 520.51715934278536, 522.07055323829479, 522.5156271063579, 522.94478015043023, 523.47972546464655, 523.9256475047481, 524.67625793174011, 525.97762890512206, 526.75263837495834, 530.07241503785019, 534.19921972080147, 534.35756393288273, 534.3946187271448, 534.46384840902044, 535.47740054719827, 535.54747769092398, 536.53620088688069, 537.04703719963595, 537.59538418153682, 537.75238746491209, 539.37147059745826, 540.79118724370358, 540.88891720385095, 541.57488581649955, 541.69478260619974, 542.43250823448705, 544.01273470586079, 544.78661573907846, 545.54191450554902, 545.64562243257967, 545.88376134948226, 548.23968490019809, 548.70825925738734, 550.99007120439182, 551.17753196355386, 554.30015431223615, 555.62322261469149, 556.05006159485265, 557.77910139709115, 558.73859282384137, 559.40005237022876, 560.3898666107807, 562.19482221080841, 564.97336769701155, 565.55207420665533, 566.93238440254413, 567.11064377586536, 568.5076549540961, 569.43170421609182, 571.44824927959883, 571.82169926360348, 572.04114482126784, 572.20357316037348, 572.31786160477554, 573.06114523029373, 573.54924786436698, 574.13305016669074, 575.37414120209053, 575.79306384144468, 576.32070539542917, 577.16975613732825, 577.4210609493972, 577.83232868873006, 578.13331539567218, 578.52174805482093, 579.17844908733093, 580.53013174618673, 583.13192916325545, 584.23744866026766, 584.43363004768355, 586.50572064454218, 587.87508558669344, 590.71906478804806, 592.1231773060764, 592.99599013858199, 594.73050961417437, 594.88834749099328, 595.10260132532062, 596.36519128241002, 596.43244420941267, 596.92496506876648, 597.42485277829485, 598.47674603451674, 598.81405117173063, 599.99777839978867, 600.57348779760446, 600.77617615732993, 603.94779467894512, 604.43743463361443, 605.08042725583573, 607.12202885429394, 607.22660950796273, 608.02072710920788, 608.52758388891732, 608.59257757805676, 610.02235044905285, 610.52049369272845, 612.25497769400192, 613.24102925777913, 615.63474667604794, 616.52339819885276, 616.90368802605383, 618.18660031490049, 618.64369297421308, 618.86366848851048, 620.09876330760164, 620.12959114142814, 621.83485116875204, 622.46304432957879, 623.04921137632027, 623.28594597408198, 624.3477521667885, 625.07989756548216, 625.41889090987672, 625.99878312626379, 626.07776619408367, 626.10686712720678, 629.40282167406383, 630.36169323606396, 630.62317276392423, 630.80891188494115, 631.64291153471595, 632.51815059204478, 632.76563870483551, 633.582492729004, 634.93668221372866, 636.68107618150054, 637.72654290416745, 638.02933341186917, 642.87674085457354, 644.77047858168964, 645.35606062142347, 647.81246031403964, 650.21819127987931, 651.29895291180628, 652.4182847807399, 652.61922241234947, 652.92344034945313, 654.25566179137923, 654.30297236170975, 655.49556272194195, 655.85529898292248, 657.60301610930094, 661.87899583710691, 663.00169362189479, 663.49926423818692, 663.70293336812745, 664.22992870002633, 669.21965393260871, 670.38999055197633, 672.23869345111166, 673.51115629496326, 673.73045462093978, 674.23725762997367, 675.81979338633039, 676.35268413365395, 676.67127233667782, 676.75295287728602, 677.37602651225347, 677.85917266136767, 679.17711875366717, 679.57907795191545, 682.5883369170441, 682.80452887254, 682.96403742605992, 685.44649499041464, 685.58870267091186, 686.17325414260563, 686.64972956632403, 691.40534312812576, 691.87939571307652, 694.61942397995449, 695.78697741677149, 700.7865765252443, 701.12387216839977, 701.47452681818766, 703.86793732651142, 704.37687430498545, 705.74397131520334, 706.66408057397223, 707.28236511867772, 708.00600055202688, 710.40223107811482, 710.90289547601208, 712.28870060909787, 714.74954801265483, 715.15394453326394, 716.77539447982269, 717.3032972742393, 718.49336431415566, 718.87374631815476, 719.90780470714583, 722.95428367284296, 723.99131951073809, 724.48717914376971, 724.54695603530058, 725.06882813818925, 725.1533860394137, 726.23552359794701, 727.02980917759783, 728.00402850498097, 730.35683234202702, 730.85837460186133, 732.13857487895825, 732.635477861391, 734.299016582494, 734.68204027324555, 734.88646739191927, 734.93013439018398, 735.68390323597555, 737.35557983865897, 738.19651504202568, 739.09660407506669, 740.83266776478456, 741.08029283105009, 741.5070925258018, 742.59949810577791, 743.46435017657541, 743.99763906899909, 744.60119289284512, 744.63395521923883, 745.040829917417, 746.17942012409469, 748.70900950275575, 751.28651133656751, 751.70742673967061, 752.20692930013877, 752.66083961576783, 752.69328863284488, 753.62804490686347, 755.23062668671287, 755.33228090538012, 755.82981329855352, 756.16538556201147, 756.35887420297331, 756.54858319459197, 756.69333167046727, 758.75079062772159, 759.50376411695129, 762.74701900576792, 763.33170786230824, 764.65764225994531, 765.99455069328155, 767.86388206302161, 768.67091332265886, 769.83195106526136, 771.57454633547195, 771.86286867770525, 773.81493945572504, 774.38293330184683, 775.75297918864806, 776.32034160099852, 777.5446035855108, 778.02023071141014, 779.48603396724627, 779.71227287383772, 780.51182745045378, 781.35894759274606, 782.03302192310525, 783.20535026722257, 784.63577225737413, 786.16504766934554, 787.25152639323824, 789.31907364267477, 789.78520097337173, 791.12262546181671, 793.37486996895746, 796.03929914145533, 798.44131005205838, 798.51624661370147, 799.99132405810724, 800.70443271785223, 801.38528386026826, 801.63767049894079, 802.28973766964032, 802.97071940594583, 803.15802238541823, 804.3403117658662, 807.0186442693639, 807.83064382200939, 808.10663870387907, 809.47755693743875, 811.09460287250727, 812.22447276218804, 816.48676696844007, 817.25537691674776, 818.58707756581964, 818.77730061614659, 818.93766144808569, 819.32076745823872, 821.03325685762434, 825.02914049049525, 825.38685220495699, 826.48431337139141, 829.70338579858549, 831.47405975147353, 833.92572882675051, 840.49728382890135, 841.66485707755828, 842.4197730782962, 843.20047678119408, 844.29201110092151, 844.56545405191264, 845.65618519730333, 845.7343629599884, 845.78371725522129, 846.30156293332061, 846.4846903852598, 846.68794598858892, 847.99251290868619, 848.65948169339708, 850.67874055071252, 852.54254540200793, 858.9157593851229, 859.14408054156434, 860.10244858755061, 861.51430727140655, 862.50770760884348, 863.7313416340503, 864.8190632837933, 864.96963090497604, 866.85125257629079, 868.8281870063289, 869.80411521144038, 871.76707004240438, 872.65223178578026, 872.90348196550508, 873.27397078904391, 874.13355418069477, 875.10607329182369, 875.68945561769749, 875.94418983654293, 876.6455117540163, 877.1361571399101, 877.72514886320982, 879.19018819011444, 880.23957100026234, 881.3549733816044, 885.27578778305997, 887.42230795822138, 889.31815467953004, 889.88457728307878, 890.1973198894799, 890.39406591221859, 890.66809729383692, 891.7696820964195, 892.3164953949281, 893.88163055567361, 895.4618548166419, 896.48192660954192, 899.30633355096791, 899.56231735832864, 900.59769936884311, 900.66505473771906, 903.18426067581049, 903.29541825377089, 903.372837185462, 903.81035955175832, 905.348340939114, 905.56818642474821, 906.27942526329389, 907.43294212522176, 909.39654295607284, 909.83208347652146, 911.95490732583983, 911.98808097701487, 913.17337828201846, 914.07876809331958, 915.90343105861086, 917.92797998752383, 919.17500079758804, 919.29856181653145, 920.81143400307485, 923.56424867398096, 923.80459498197649, 924.23807184204793, 925.16071066538439, 925.84988440902828, 926.79592823030123, 927.13892577894228, 930.19785923100233, 931.95848906539595, 932.41789194820547, 932.80401585656398, 933.7917934307992, 934.2149152207345, 934.52418202236697, 935.69729509669605, 939.03055591558768, 940.24533800898325, 941.24265588344861, 942.80207387540258, 943.42881617137698, 943.75041476667843, 945.19024464195115, 945.82980636090929, 947.00121756024896, 947.7121701242844, 947.99117051894405, 948.01812751573743, 948.7543002828096, 949.00044281593921, 949.09972939480849, 950.44292015591157, 951.52136455313087, 951.63013853227369, 952.0137534510543, 952.4118391600108, 952.47569079984487, 952.55782088510637, 953.57192073135445, 953.68618000840274, 954.25032231771888, 956.15151898111594, 956.71417218337365, 959.05268387784861, 959.86508590370136, 964.09296178249031, 964.70649627345495, 968.9469103155983, 970.0555400516447, 971.04668640205125, 971.62714723305805, 972.11927921053029, 972.72994789416066, 972.86068478997538, 974.06054372548044, 975.09590779637142, 976.06464184572599, 977.81237965093828, 978.42278223290759, 980.49175959986064, 982.36237300499567, 982.94474691562175, 983.73979648548573, 983.97928258855688, 984.71043815450889, 986.19832694756303, 986.49020770337233, 987.76271167200923, 988.09526502061226, 989.00677044215365, 990.35510055055477, 990.74033029685165, 990.97687498982998, 991.03326921949838, 991.08596287614455, 991.17659991182461, 992.93157992514659, 994.10114112234703, 994.21122201467836, 994.91687333258039, 995.64263611958165, 996.13424156306303, 996.49395436584098, 997.14977916342002, 997.61474883360484, 997.69361088136384, 998.77274942731458, 999.52698345564568, 1000.3850488093628]),array([78.333092343725724, 78.563658575451896, 79.930051314233125, 82.652201631378716, 83.798909614906876, 87.000808441638355, 88.880994417900041, 89.798895346498128, 90.955191787446836, 91.74273431390948, 92.898909566180137, 95.088982645969224, 95.166331192462849, 95.236804836465978, 95.542685986457087, 98.020849384795696, 98.184900416308594, 99.35293860759765, 101.61529468903205, 101.8779540741687, 101.93579949020065, 102.02332043215057, 103.74905979302034, 104.08860297208041, 104.52572059085939, 105.48275352964605, 109.0301430357421, 109.60614978529955, 110.10166922662766, 112.58509009920368, 113.03449602177812, 115.25077226484147, 116.497913726205, 116.89598514028948, 117.32861945509653, 118.45734148941553, 119.99481804537194, 121.56141140590881, 125.39837888564944, 127.52527519094467, 127.7026611111643, 129.63523604420556, 131.70781360482982, 132.24587861545314, 133.53989205446933, 135.42842949659646, 138.31073957953839, 140.7245624738938, 141.53920452023718, 144.25220408421248, 145.29708594503654, 145.41362481881899, 145.56131795972624, 145.63518945302403, 145.6726609148871, 146.82568260484976, 147.18507421550908, 147.86073053262098, 148.26873549293694, 151.32940718589049, 151.49963046802247, 152.74996253977457, 152.77739295405118, 153.70680962467225, 154.68372508020551, 155.45277160856443, 155.76002402665389, 155.80169089268065, 157.60584704304694, 157.64209988784862, 158.37165706026562, 160.9332508420668, 163.6280294844687, 165.25130659641243, 165.6352894048805, 167.78017680329543, 169.88611259496756, 170.93290351712309, 171.55715281795432, 173.32676138682538, 175.94590481557759, 176.90878875871604, 180.30995205697505, 180.79328026078949, 183.07942064479568, 185.01732186119452, 185.51986149216381, 185.70097835315838, 185.76488774779978, 186.09737876617262, 186.76723173819431, 186.7947544040758, 189.06065682318726, 189.76384121836688, 190.01259641782084, 192.88165693236667, 193.26860698874233, 193.75802390851092, 195.14867102800937, 196.82366890470297, 197.38868003796787, 199.52564267147949, 199.58050526308483, 199.88954086471094, 200.19159823772557, 200.77203134242669, 202.62707878492188, 206.28408821089877, 207.32155417569899, 208.13535503014222, 210.39585892200623, 210.63380766017448, 210.65814778683571, 212.28041254809884, 212.57738376095634, 213.25446110425122, 213.5703273773893, 213.59734034885537, 216.07928171233888, 217.63789652708775, 221.4915231692201, 223.71412241898275, 224.80137111869729, 226.20622312317414, 227.00503272511216, 228.95894152183118, 229.08912391955374, 229.35325729403789, 230.20063424736199, 233.55088812151206, 233.79515992461992, 234.65504304930002, 235.25793466990061, 239.51805341846466, 241.12553567993231, 241.31753023872554, 241.98194583027322, 242.05082102695499, 242.16204587595669, 242.2159504195966, 242.62033093450842, 244.04323439010142, 244.86258390074039, 246.2654287606133, 247.91009237015834, 247.95938415474822, 248.47518148396148, 248.88447589007336, 251.41780250706827, 251.53477622531707, 251.81552566770583, 253.11484289430379, 256.39589725652809, 257.0446016129435, 257.17230018185177, 257.74786345556072, 258.23229710573867, 258.43470481631709, 259.04650981567022, 260.4757128709046, 260.8257157634248, 260.95933538609052, 261.52756332131122, 261.70288679648633, 261.80011616509734, 262.47682919283756, 263.01114651930976, 263.64636287833753, 264.46890004606644, 267.20390545412056, 268.16504524781453, 269.55569550808252, 269.64800190304413, 270.91855431247564, 272.19899598752625, 272.59713265377752, 273.72694532964579, 273.87888662607651, 275.18188101775291, 276.97285677815341, 281.28229830649246, 281.32918588954146, 281.3820995670647, 281.95964777447216, 282.86911338677567, 283.95186250808746, 284.91479254410046, 285.62207125906792, 285.95613739536714, 285.99705159738909, 286.23611018246464, 286.59813674164468, 288.09336481624933, 288.48425228116645, 290.08880243478592, 291.49170889737167, 291.93522195245151, 293.36570773741943, 293.66900353765834, 293.71929957163803, 294.7520377861909, 296.50841905933839, 297.20702339444688, 297.25964083631425, 298.2827361026761, 298.4114411070243, 299.2709412440168, 300.51902815720774, 301.39700332734441, 302.12845881246841, 303.17298976134941, 303.23302769661836, 308.60839838429354, 308.68179358669897, 310.10224086512937, 311.28461727383313, 311.33585680106182, 312.1646140317149, 314.12950923506889, 314.43843032299696, 314.79017517808916, 314.9425038708344, 315.14892612453383, 318.18520003174609, 319.6841582251256, 321.76913728790595, 322.43967986361145, 323.41481661198139, 323.78551963775436, 323.95694715198346, 327.19037637091822, 328.97686732256108, 329.00077826449035, 329.52332698693846, 331.41813516657146, 331.86569455240851, 332.51928191501986, 333.53981933471476, 334.45553858479673, 335.33307735851349, 338.7132683724156, 340.13001320052661, 343.44282370542817, 344.58004499937721, 346.37310041100773, 347.51798869415717, 348.56211493773287, 348.72919959498734, 350.14310497075621, 350.63557302108234, 351.9622613595709, 351.98723566776181, 352.13938263929322, 353.51749904073841, 353.83663239658358, 355.58994251169901, 357.29377033920724, 358.29940846962933, 358.6258206858069, 358.97038975975335, 359.38859530208492, 359.98809752249542, 360.0337652171508, 360.62666734046627, 361.81685665789234, 363.31157281660666, 363.70129204838537, 366.16017485954427, 368.58905150552988, 368.80789836247686, 370.70923725946847, 371.00871098961454, 371.79948637098551, 372.10086879796995, 372.32620223005352, 372.58894511814424, 372.6764241527095, 372.91654590712523, 373.13214962876754, 374.05010131488046, 374.78323838282506, 378.85816105250774, 380.20790294080575, 381.38516037167784, 381.61080412367409, 381.80729850285979, 383.18089030342065, 383.40529059193062, 383.57644562171532, 383.64608143060133, 384.57491514357247, 384.79956159435824, 384.95119890872718, 387.14104823821629, 387.50881434763886, 391.30367394343324, 394.84977960838262, 395.10211116705113, 395.31106776627536, 396.40248529108413, 399.37374586569871, 400.00719554868266, 401.35567033461149, 401.57613640583673, 401.77176216603806, 402.63313252962723, 403.6017731035688, 406.25508867016686, 406.52694698724616, 407.75429760976903, 407.98739047974703, 409.10394080308669, 410.4309229437859, 410.4690653480003, 411.85545951432374, 412.82376431633548, 412.85234043781929, 413.24581084010214, 414.80080524064726, 415.00167380165567, 415.69432785530273, 416.2056624002887, 417.06310510018881, 417.27408921252243, 417.64846504751972, 418.26337443602074, 419.02624680743486, 419.15297524871778, 420.26405089579714, 421.73965569764721, 422.92570052198789, 424.538167815002, 424.604189121687, 424.98327296318877, 426.77949459539059, 427.29327236251635, 427.48110556645958, 428.44458000208033, 428.53296077947704, 429.90745312159402, 431.13919591320189, 432.0304815918862, 432.23641376641712, 434.01961506219243, 434.0728759043534, 434.82687071574799, 437.35226093876571, 438.58324521069352, 438.7755917478944, 439.26097026085125, 439.94665157391336, 443.22111336090933, 443.32108759320545, 443.66755109456028, 444.46853229669659, 446.45418575619823, 446.74648576712372, 446.79726731023328, 448.80582814425026, 449.59915707195836, 450.37035053346676, 452.38889677638122, 454.56280405188079, 455.31763749291918, 456.53445746848166, 457.24799001187245, 461.28442993641397, 461.33141278128738, 461.35986313842426, 462.03367449185077, 464.08362610456334, 464.57612863358622, 465.30186327327147, 465.82938478594821, 467.51164058272087, 467.67768840320531, 468.59334720008081, 469.84047145730869, 470.58256157054603, 470.83214980632812, 474.79913048935776, 476.59366999450822, 477.1520033990077, 477.34510404642339, 477.54015243094011, 479.16965298395644, 481.09403305956215, 482.54105786457546, 482.92700639481501, 483.83874107984252, 484.08177287245309, 485.38723772780043, 486.22121722884106, 487.26522862857269, 487.50072178243681, 488.81301870398778, 489.86874754641417, 492.40118877185716, 494.17632472804689, 496.50638273306038, 498.75612301841579, 499.022350233358, 499.94862601565046, 500.60628829734139, 503.71783584634056, 505.36672452850536, 508.60986816214916, 512.24032749234664, 512.85851444645857, 514.58481801587845, 515.56317911190229, 517.17643572550867, 518.45367153209008, 518.53691911238195, 518.83074164936102, 522.36269668103694, 522.93753156178514, 524.28723549447409, 524.75693229937599, 524.87451699936696, 525.01130136121662, 526.31727624408416, 528.6493806567895, 528.83730062230632, 531.51627069173605, 531.62538315614904, 532.35388381512007, 532.88484874095786, 532.97336165572381, 534.67423892328009, 534.73381922593273, 535.25135244926082, 535.3920183095363, 536.68117518936356, 537.19199830671255, 541.74185081706696, 542.85778152981231, 542.87892484598126, 544.85921424068169, 544.89102248955453, 546.58665164828119, 547.10907892484875, 548.29717588247956, 551.44259413435441, 551.5044312966852, 552.15863357360729, 554.00933902870645, 555.05900333612885, 557.03797199921087, 557.15324121906337, 557.64180005571473, 558.49426470784078, 560.47972131515257, 560.71926014335315, 561.02495672853001, 561.45513522702288, 562.97826455848622, 563.0462848357239, 566.65185797755635, 567.48341479270027, 567.9244866400868, 568.06218802326748, 568.11939191820511, 568.81701036536492, 570.3518464119494, 571.25034226261198, 571.86584079529121, 572.6467639169947, 572.97691087307351, 573.51454779109622, 574.80456231148287, 575.89179088712058, 576.51511214852133, 578.02323633218714, 579.41340186854791, 580.02064059868292, 580.38316875254122, 580.7991463476078, 581.32065956862039, 582.58968599707202, 584.34541949772552, 585.04339169825721, 586.42556410327165, 586.76363827206285, 586.86053096068702, 588.07018028238429, 588.57540196462094, 589.08757982154884, 591.51746255673675, 592.26378337849474, 592.78898071153526, 594.29712770196045, 596.16129228289435, 596.89729283693111, 597.10052691322267, 597.22994927181571, 597.59657191197834, 598.90929829867866, 599.08739246260893, 602.77829257004953, 605.28628582080978, 605.72827029579753, 606.00069520528939, 606.58050459748733, 607.3013537187818, 607.74934243874463, 608.6199378963579, 608.8330318842618, 608.85517792528162, 608.96132384578266, 609.05419941894831, 609.84200549294746, 610.59087053138512, 611.03172334030251, 611.6817059303936, 613.9836528690314, 615.6181343530958, 615.7733757769555, 616.57604145212906, 618.35119584572237, 618.80865062813746, 619.10948911384264, 625.06202155112226, 625.34215311693015, 625.65261121215747, 626.04541266985211, 626.15521240647729, 627.08870593500217, 627.61958930915182, 628.10649249650169, 629.28760199860426, 629.96679196652201, 631.03984899026182, 631.29957438288204, 632.67709330921616, 633.51712296664675, 634.34196542015684, 638.57587490936021, 640.12885081795139, 642.06562258719975, 645.41815691051204, 645.65644888884367, 646.53787613334919, 649.21103329475579, 649.57778555457435, 650.31707057489461, 650.54716167650918, 650.85061899773882, 651.31190391482164, 652.49506730530345, 653.25040222122641, 653.77775815128371, 654.42117541288223, 655.84152491424311, 656.06397775039466, 656.74721772409725, 657.49954340791203, 658.48573212629492, 660.86287435832094, 663.99051805165254, 664.74576760465175, 665.59983435682091, 665.63544011188458, 665.66244367453578, 666.65947387591564, 666.82289678845348, 667.21050412271211, 667.52526977006028, 667.55622246571522, 669.19294870507224, 669.30183205175638, 669.584923433467, 670.2322252907984, 672.65195430688561, 673.73825780517188, 674.52309469275076, 674.57763902509225, 674.9874297685185, 675.46612796047214, 676.37823441261401, 678.51215737509187, 679.81542897769248, 681.02443550212524, 681.36694164766629, 682.02812513675974, 682.15712351113064, 682.3095970515925, 682.37406847619309, 683.52183743558123, 685.03602460014042, 686.18733447717239, 688.92865161319264, 689.29156319886647, 689.39863723928443, 690.82916731343607, 691.56263691716924, 692.05636441365277, 692.19289549354755, 693.3205103518452, 694.19952569635859, 696.95376477897207, 697.19067002833424, 698.23167837172252, 700.44764706306262, 702.89368452592817, 703.35142738291529, 703.64818099373338, 708.61110401158396, 708.87029370308198, 710.53856853319564, 710.83872161469719, 711.89459747664705, 712.8171223610068, 713.32979367373855, 713.41886216789385, 714.20923272251207, 714.9072548572276, 715.01710899356476, 717.00298703761177, 718.34397762971582, 718.55935876272827, 719.60511976894327, 722.73150814263727, 724.0717505832115, 724.44285346648235, 725.33323801628114, 726.24579730764094, 726.36905877152867, 727.19341697049128, 727.93104893789439, 733.83506588082696, 736.93145026265881, 737.09013112891284, 738.37646926617424, 738.69952320334505, 743.4428825542617, 743.57752365795614, 744.33872955689901, 745.45391823042507, 745.67693545411419, 746.56206106934292, 746.84373289251403, 747.29077887038272, 751.65356183904271, 751.78478695655144, 752.73220483853936, 753.49576626211785, 753.84018895655129, 754.85422596885371, 756.44618264918461, 760.93520184610145, 762.33290040263012, 762.86734787139744, 763.69082635712311, 764.34219607048351, 765.05735058195398, 765.83279858335891, 766.81832054454947, 767.23311723467612, 768.82564575978279, 770.70636616888737, 772.0058788482113, 772.23334499171324, 773.41065693673318, 773.6339410278174, 775.48839598585755, 777.5352777002073, 778.04768656242925, 778.98367203406076, 779.26893861925362, 779.6470157495844, 780.67134465579261, 781.93447931595188, 783.75657391413085, 784.26318744635091, 784.62565903353607, 784.80362477019685, 784.98395944317735, 785.05524378722748, 785.61512924742931, 786.27095181002119, 786.59808697605888, 786.96368350851276, 788.03911634433894, 788.38787196053079, 788.69498762420244, 791.89843151894854, 792.14594332130832, 795.64845404369748, 795.86486202409299, 796.2373126832166, 798.42652071769783, 800.28707542701113, 800.52759404714698, 804.69320648159498, 805.3628212711069, 805.78107538048948, 806.7203040902067, 807.21699081683403, 807.40519333219936, 807.47745892344119, 808.54993334399603, 810.75544399475598, 812.12735730541408, 812.46484749140291, 812.61606764293413, 813.11145748102956, 816.09871312987275, 816.66005466816773, 817.4445146082976, 818.67641462943038, 820.34411118490334, 822.39016932488857, 823.55443039260763, 823.62467005987685, 826.2422880214724, 826.83046604034598, 827.54623015305481, 828.76258253152548, 829.01893710709328, 831.21842054194849, 832.18931633709246, 833.62890516773132, 834.56955673630796, 835.74280718402827, 836.23331211679465, 836.75623898014942, 837.71981284480705, 838.8459019197943, 840.5110886065271, 840.61367703914084, 841.46221802772232, 841.69039883859534, 842.08888282053113, 843.59345694226181, 843.61504543870717, 844.5233376863265, 846.56261679656848, 846.68590615894948, 847.37978743309156, 847.54493367857901, 850.52792081149062, 851.0560328217997, 852.58680457261323, 854.14795094971794, 855.4214630525554, 856.2403842118556, 856.59222099063015, 857.36464159237971, 857.40789516091445, 860.10436879232032, 860.21346835340694, 861.2320890448126, 862.81375474270487, 863.27365027637393, 863.3259442025402, 864.57876604755086, 864.65990744728276, 864.68117619705151, 867.71576808283237, 867.81928426202501, 869.08935061643137, 869.95811301123717, 873.05725318124212, 873.26971817528863, 875.84537942478994, 875.89062970169368, 877.73016700886092, 879.58095798664272, 880.88721645843918, 881.13197973146623, 882.48033756951918, 882.66753004399141, 883.1045425477821, 884.447553825765, 885.32234476458802, 885.34788250267832, 886.81227801999887, 889.33307054624458, 889.73889043973577, 890.60641100698012, 891.84393008093252, 892.03054542542054, 893.43872335635058, 894.23891186200296, 894.56433419421899, 900.01146174459575, 900.34183899581706, 901.31109655691068, 903.58376929677638, 905.02117453181302, 905.57317591453864, 905.99387616630304, 906.48306091223833, 906.82151786375357, 907.38115644555296, 907.79702787680606, 908.09922824117984, 908.75334483357437, 908.79007349846995, 909.42292187773535, 909.87497619236331, 910.93902167212127, 911.34687916512746, 914.46355011781907, 914.63190416429427, 917.90342023142625, 920.79022441124494, 921.5356112892573, 921.77037668690127, 922.47442894834114, 924.82598854268724, 925.83292861430641, 926.0813121051475, 927.543465897896, 928.392665075119, 929.29765923106436, 929.58375513953092, 930.33157677671352, 932.25698331858234, 937.476115831377, 940.44858354577389, 940.55617504263125, 944.22345862528005, 944.82736752307278, 946.37730156898158, 947.58619783531594, 948.10756931234209, 948.69076188699432, 949.04908239571159, 950.05150501956552, 952.29233973957867, 952.49711018339167, 952.74972007949714, 954.48499573294066, 956.44774743079336, 956.54627162161421, 958.45397513059606, 960.89983386754307, 962.22935039110496, 962.88762438428785, 964.8515547406771, 965.08238495950184, 966.37863217042366, 967.35882466725752, 967.5827907816581, 967.82913399138954, 969.14018263241564, 969.93969675815129, 970.12129177356314, 970.54735660342317, 972.83813761061697, 975.72941622235498, 976.2320917733515, 976.48871673556198, 978.04016220516041, 978.55848160188395, 979.37610978402085, 980.00422103161441, 981.15625973690464, 982.65026756891416, 983.36470494591913, 983.91087953799251, 984.89982120699597, 988.18403766502968, 989.39492613718119, 990.23898646302473, 990.49832506062558, 991.25409755090175, 992.72857303939895, 992.77477978191689, 994.17078893126836, 994.27227855947126, 994.65176228414816, 998.31829088385837, 998.38668514612255, 998.40706016573859, 999.05966058102103, 999.89472179635334, 1002.2273691751934]),array([53.263361128572626, 54.102621678307592, 57.607180492383662, 58.513903660956593, 58.819517007994804, 59.399423311034958, 60.619941848731877, 61.128747216074494, 61.766712174238492, 63.152420494815303, 64.733300754173044, 64.75439840145502, 64.980624953772335, 65.159182454916646, 65.720266147114586, 66.069392638961091, 67.583542360468115, 68.845821707069319, 68.95997242538057, 69.18689457288896, 70.256531726281636, 70.919232826645683, 71.715418327491534, 73.688088361972945, 75.076310887356115, 75.105710206036932, 75.649831883209814, 76.53770224295036, 77.35794117664669, 78.677765619644376, 80.462566203454926, 81.875859770519853, 83.258644711975251, 84.188595686920223, 84.309668273056758, 84.418273365417619, 84.906487763340195, 85.301416489869979, 86.208848556726878, 86.69939760140258, 87.107483578843684, 88.988574132693643, 89.155138570126539, 89.822565235950719, 90.016285852193818, 93.833345521083189, 93.919036825315402, 94.049163972934963, 95.737983553217632, 97.701471820524418, 98.025205351962882, 98.182702468487633, 98.203246422940538, 98.801188144422881, 99.753381929607173, 99.99896604524497, 100.31750172985863, 102.09527686594807, 103.40904020741482, 105.35461962194653, 105.7231719668566, 106.35212360270189, 111.16008683022531, 111.81217040093357, 111.97815368758636, 112.63821476959613, 112.866942238436, 114.74442536287243, 115.15675983688372, 115.20135519002618, 116.32946038930997, 120.48133368201552, 120.68697131442323, 122.31220040614114, 124.03317127310163, 125.33678938388621, 126.87344856210024, 127.81248874268834, 129.41677955513956, 131.23044724115798, 132.70101635134927, 133.67138994785179, 134.85471501245064, 135.75470025480431, 136.83009028538493, 136.98963637306358, 137.1324209877958, 137.44640185317076, 137.70469021850664, 138.85362807658174, 139.22680468443352, 139.4145115021102, 141.0862083531137, 145.09030153388778, 147.81806884147161, 148.62287810712189, 151.44011966148616, 153.04444569746627, 154.07475093669962, 155.18856837717124, 156.11484267282819, 159.79295580741697, 160.38481196017776, 160.75888640508373, 160.89900215927324, 161.50485194792273, 162.34361496053202, 163.73812506730619, 167.12785903922338, 167.27387232990262, 168.20089138692396, 168.54838388854725, 168.58432279200224, 168.62289664858702, 169.05646818199432, 170.12494366337793, 170.40607360916786, 170.77084388156757, 170.81141519599501, 170.91439792631758, 172.93608985278186, 173.24656224324886, 174.07250346484861, 174.16825240793918, 174.8208927318189, 178.13711134936523, 179.2751720862845, 179.50040999063162, 181.96969313585771, 183.04673580208089, 183.45809403576072, 187.27360486505313, 188.69590001268898, 190.69445410098109, 191.78480867094032, 191.82869580486485, 193.39742550004158, 193.56576767979661, 194.20367022434272, 194.37982854614373, 195.10274899780183, 195.14399613140964, 196.96923739315753, 197.53688935920272, 199.74695468955622, 201.68198268120992, 202.11170460318775, 202.40291947277947, 202.65863755740946, 204.70338923662533, 205.48270813640224, 206.42182978683712, 206.53085780695397, 210.20587366190736, 210.69577988320577, 210.83002089695358, 212.07642133199408, 213.60597161733037, 214.94896725808275, 216.89367951481196, 218.93173488151044, 219.06577530775482, 219.12269128103407, 219.33280324930075, 219.41034671425027, 220.2955487836031, 221.74129406363744, 222.5854615686502, 222.72789282212361, 222.75598890115538, 226.02033081500588, 226.0746501022029, 228.44817721072965, 229.57726787659351, 229.67032533533009, 229.94924656262558, 230.49759058974905, 231.08498319271678, 231.42673249422293, 232.8163050073465, 235.38333183565663, 237.18514640147248, 238.44912463403605, 240.45805958804326, 240.50309323118697, 241.65032813032172, 243.69646283148981, 244.86967232945091, 245.66105570210419, 246.9337496802722, 248.25390382506856, 248.46008787869582, 248.73004358650439, 249.61962457560634, 251.60783247565857, 251.67074259036457, 252.10258332100068, 253.9148671734186, 253.94054371986545, 254.09336655208477, 255.39508288021781, 256.30306165630083, 257.35648336240098, 257.79305474677369, 262.32462681018416, 264.4503854672227, 265.54607514274619, 266.45493532222281, 267.27214172027971, 267.78047084125137, 268.67673497759552, 269.45270737724604, 269.61550454735004, 270.2951065147783, 272.14782293713949, 272.24637210301825, 272.67476803996095, 273.28814606647211, 274.37247174705476, 275.49333683202019, 275.97545805465614, 278.51950543220556, 280.24521809876501, 280.8938048278066, 282.8403676679244, 285.58979040912163, 286.64492059544614, 286.80717201908305, 288.17438121029033, 291.19586290579753, 292.74116801489328, 295.68885637581957, 295.88021885295296, 298.39193203454232, 299.2133102873081, 299.44487489635094, 299.75003824337352, 300.97406317405478, 301.16639548541707, 301.71378486556574, 301.86417345088967, 302.90305944238702, 303.94255638645353, 305.05309229442872, 307.41265337913683, 307.53967407491984, 308.26901921091303, 308.47399151282684, 309.31643974915085, 309.33667230931616, 309.6834612303507, 311.01792395030401, 311.37597010074148, 312.32043554368329, 315.69779717970596, 315.81660516271364, 316.51644317887462, 316.74772536964701, 317.67302990671328, 319.48522410276024, 320.43578795039491, 324.30497664451968, 325.51814951833643, 326.54620780408698, 327.02435905722848, 327.84971649359483, 328.93844010617136, 329.3800500913606, 330.08781053112165, 330.8754225926296, 331.26787485334393, 332.5431887999049, 332.91801532418657, 333.11706982305645, 334.04370353087029, 334.52825241241533, 334.76173560220269, 337.36301167484646, 340.00303349594543, 343.07846024882298, 343.73749827676369, 346.57005654019372, 351.02700670275533, 351.18992083636493, 352.35260816782323, 353.15862417827094, 353.29269238197912, 354.40827793857767, 354.45638358041856, 354.97612126541173, 355.54192060717969, 356.29240273099083, 357.352379915428, 357.62301236908593, 358.25026753832856, 359.57544506307119, 359.82837151485563, 360.08101944954126, 360.71253726964017, 362.63175193632151, 362.80789396825037, 363.65844067893443, 363.93380544028901, 365.93989750504466, 366.25224413433477, 367.13529078814821, 368.02074948851373, 368.41430932681857, 368.62457252733998, 369.48068882494147, 369.76758262495491, 370.97623820920217, 371.02703641657627, 372.15999211967431, 375.43615736663713, 376.91553912751601, 378.08451211332891, 378.17472769695627, 378.38513266472938, 378.71636937365736, 378.82949975476748, 380.61612601364862, 380.7974707105077, 381.09112576409825, 382.03658777419025, 382.42349760310537, 382.86343191180765, 384.68496378189849, 385.1574999969335, 385.41425089179313, 388.36607801849806, 389.01439106725365, 390.1713014443103, 390.69312936265948, 392.51090897767051, 393.31434745920023, 395.99022823170196, 396.01296420718353, 397.42545571858693, 398.07058878017182, 398.39794904884855, 399.05876668075092, 399.67024453155148, 400.59369633812764, 400.68545036050722, 403.89878347286782, 403.92969565636741, 404.11667315293431, 404.90786924063826, 405.91579010138037, 406.84618267872975, 407.1789261714552, 410.42078983323614, 412.16440381403652, 412.50859081019212, 413.89083309458641, 414.59885975011196, 416.29414834459527, 417.80632875957934, 418.74440844002595, 419.05143033129821, 419.11173409859526, 420.96430287296755, 422.62633094781796, 423.39223201091926, 424.29948057529009, 428.45038232455943, 430.47776785085671, 430.73219980548845, 430.80191296405974, 432.50033225182477, 433.38736509799298, 433.76095754952325, 434.59566889835907, 436.15787846917067, 439.26203050028914, 442.0847061862496, 447.6039006770888, 450.58465426172341, 451.06183899687187, 452.00209032366581, 457.44341685569123, 458.54486236810749, 459.17719331333319, 459.39095820217761, 459.55482873260661, 462.61652274713902, 464.65119371654293, 464.73734839004402, 466.44143365700916, 469.09454135156949, 471.41128157193845, 471.63012718600464, 472.08015695813577, 473.9688283731021, 474.79649185673509, 475.04908582283019, 475.789913213251, 476.11988744885139, 476.18452295651741, 477.33458994978366, 479.71924673797696, 480.9824050512151, 482.64171192863643, 483.08248565525815, 483.65918495246655, 484.10650442497274, 484.79739951557923, 486.47169021909804, 488.69517480901328, 489.14595223078317, 490.96495806566543, 491.84490751050339, 491.87348941117807, 492.3266172115737, 493.11075163718391, 498.83840216102533, 499.00488751000569, 500.84978366085949, 501.08972857344753, 503.22071314423414, 503.90113462861905, 505.40353866220562, 505.62438506190642, 506.6410502790647, 509.54836310131998, 509.99103632849454, 510.52608191524104, 514.85087577245463, 515.65733836327138, 517.01550963164721, 517.12283563679136, 517.22049066105535, 518.21288674148286, 518.87783383813189, 519.24443627036385, 519.85473493926258, 520.18393772248794, 520.62807180476489, 522.01192783518763, 522.23192336565262, 522.6862897805803, 524.34383721276527, 525.24314988405149, 525.3450531933737, 528.77815257950147, 532.11747918086189, 533.04055810471743, 533.93024784710951, 534.3912162983388, 534.49800312115383, 535.02814949664992, 535.37233054495323, 535.8479299698987, 537.12756573029878, 538.47614065273081, 539.18435437682399, 539.82069411382099, 543.6304984989813, 544.1833092115719, 547.59826706493914, 548.83888709539326, 551.43981896777291, 552.24292940815781, 552.72230976038497, 552.87305723603879, 553.7739030248506, 555.17868708121034, 555.28742147539219, 556.69343985319392, 557.20922605089231, 559.44025931087845, 560.15756877476099, 560.31048522349181, 562.41259449248491, 562.86457333596297, 565.15784125971686, 566.79276348155008, 567.42121919384635, 567.81619666210838, 568.05925736096174, 569.6071407270947, 569.71701900884182, 569.74535868855867, 570.41581616184169, 570.47761753881662, 570.93781840463441, 570.98866671333712, 571.39948513022034, 571.64952703401491, 572.57407131367415, 573.2211848935458, 573.24910712043663, 574.77275570197651, 574.81611343850875, 575.29959613778226, 575.32037676917946, 575.67627412488582, 577.14484379118164, 577.36099015523962, 579.95539874988822, 580.02002755959415, 580.8917246922307, 581.82116720334204, 582.61420816275768, 582.98343145225135, 584.39656390963069, 584.56215766339653, 586.47407002580769, 587.7214405577505, 588.74414125997112, 589.0528900934612, 589.9912700382979, 592.08697625493699, 592.55755775332602, 592.99375313291762, 594.34629882084982, 594.62342481042606, 596.38267699243829, 597.98973141237832, 598.32474112797274, 598.84469433534434, 599.86471757108291, 602.72990880248949, 603.90415803312533, 604.6118823856109, 605.17573727674085, 606.86430735542524, 608.31993404127479, 608.72865649527637, 611.53641190491567, 611.82483362850485, 612.57584139515689, 612.93017047742603, 613.52509238043467, 615.71425847191392, 616.79064519231974, 618.2124303605641, 618.62203851644654, 619.45211354512878, 620.7377394396799, 622.10867201444546, 622.77527443714825, 623.11248963483786, 625.42749193185921, 626.43385429426587, 626.7144427027913, 626.7493989314562, 627.25414777347055, 627.88195074886778, 628.23144380639394, 628.78828036431923, 630.57941829927108, 633.99749126069048, 634.65353368972023, 636.36911213792666, 636.40964267532081, 637.52838887745656, 638.73753620272578, 639.0392270626719, 640.49770859328544, 641.23967559187099, 641.55776606275981, 642.19128966006951, 642.63214943472258, 643.31886585717973, 645.29852169823243, 645.53239495546006, 648.35546739386666, 649.18567488650774, 649.4779960358461, 649.79120899534144, 650.93608345146822, 651.98442431792159, 652.79173327762101, 653.01523389125407, 653.56852290976519, 653.59938077477977, 654.39267730646247, 655.10244951942946, 655.57322628480745, 659.28120622127608, 660.0641178209371, 661.87290939915545, 663.33405025988793, 663.95635165408237, 665.33644167092177, 667.44279905206588, 668.17669640704207, 668.26303923138232, 668.62975578405201, 669.15059931472786, 670.93570756538179, 671.77273058574281, 671.85166949414975, 671.98446937614733, 673.50787898469366, 674.44913675122689, 674.59926499856397, 676.04594849434022, 679.11832205059466, 679.72958024646368, 681.47348347162733, 684.54007586967248, 685.43678856581835, 686.0173575252943, 686.84416485235943, 687.55227302443961, 688.58992178911421, 693.30086158478082, 694.07021177752551, 695.78569125853198, 696.11577991827664, 697.90613900256983, 698.51940711612758, 698.82736414471492, 699.44928697644741, 699.77169612605974, 700.0675125899503, 700.26808622578721, 701.13240856153391, 702.05555264898965, 702.38346760229149, 704.88164448482576, 706.39812505145289, 707.20814811204446, 709.62034197244827, 709.969011864717, 710.40285977528811, 711.36036881949872, 713.16964490459611, 713.3388256097802, 715.00839718059126, 715.79142748440245, 716.14661826289353, 716.77543252231533, 716.81682754944825, 717.48021186510721, 718.1616414409325, 718.21907860596593, 718.75393264116087, 719.08993348877402, 720.6118792388952, 722.24084769223782, 722.40554722351408, 722.93726501397691, 723.92823274172554, 730.10135455300076, 730.2219783779417, 732.23693461578944, 732.8242101787306, 732.99473921289518, 733.55282390871594, 733.70158159500158, 733.92301910206982, 734.24413743260391, 735.20011883157872, 736.03254181305704, 736.20543571462622, 736.48106316869564, 737.12785218085685, 738.0106224511909, 738.83038526065127, 739.26920340622871, 739.65050182635059, 741.47270248551661, 741.52780608507283, 741.87450862747914, 742.15618025883157, 742.32702095529282, 743.03613544148516, 743.13429350456079, 743.33774459180154, 743.92526817967951, 743.9659033987042, 744.01958519288678, 746.55898439243788, 747.6369498363066, 748.4717162315294, 749.32332490059571, 749.5863420921836, 750.17649954417584, 750.72680741578813, 751.03854085220337, 751.3909086195431, 752.33962740028426, 752.65866989985341, 753.41592865563052, 753.88130479577194, 755.44277616146803, 758.26528636688022, 758.8912500931965, 759.98915387380248, 760.79777183695762, 760.89182275368171, 761.35100458264458, 763.07242377550665, 763.95599518786207, 765.23044376594737, 766.0407667710441, 766.61171325110831, 768.6854475587138, 769.1282041827061, 770.03060138385661, 770.51854671670469, 773.60185136125187, 773.93365213926722, 774.24317827494576, 774.29657514748885, 774.80689457570861, 775.63897362403168, 775.66835515927892, 775.89354216824563, 776.25699194409697, 777.04580662961212, 777.46424542677914, 778.12498124825584, 778.80267678785447, 780.63236021543798, 781.34041858026319, 782.73532108785423, 783.4489665004653, 783.47690014444709, 784.68593396996107, 786.95542412033899, 787.09983777592902, 788.41011667798682, 788.55342765903515, 790.82826624097629, 790.87236218568091, 791.27127495389993, 792.26510353644846, 794.12280077599405, 794.36801234329698, 794.90824227366852, 797.23512727549758, 798.18650411002557, 798.67477137477385, 799.2541014784689, 799.52953472974377, 800.73802386358921, 801.57687044461295, 801.85087923870196, 803.27268490858728, 803.41260388971966, 805.37378505155652, 805.55191932500509, 805.66892642825667, 807.9617656068832, 808.02232113086302, 808.50483308954017, 808.8638707541437, 809.17383973834137, 809.35182706858109, 810.8453113363081, 810.97904621535861, 811.28609400299592, 812.41238095819847, 812.5230809743482, 812.59740642230781, 813.72206177686837, 814.96339730885074, 815.53596026923321, 815.99268177307204, 816.16712038443359, 817.69402867602662, 817.83676457525496, 819.52695595544571, 820.53320737427293, 820.60654615226088, 821.49536939893528, 823.53604660190592, 823.76240352788307, 824.22794151085895, 825.07746486124847, 830.013996704585, 830.85833072266689, 831.40128069946149, 831.72879181643759, 831.76825524355559, 832.76947937977604, 833.40073739299294, 834.861713217741, 836.13389112086111, 836.24973270759631, 836.75132545079703, 837.20824780533405, 840.61874887095144, 841.44015064911844, 842.98384980622427, 844.1447548824533, 844.2951086359526, 844.83125905077702, 845.50187669660556, 846.04585733955014, 846.52836485021487, 846.77164057099537, 848.11582460040029, 848.17841896723348, 848.32931197843766, 849.43682150086886, 851.80368562640456, 852.4075412201687, 852.70372858593043, 854.79967951452477, 855.07731877393803, 855.41096618999654, 856.43587987967953, 857.36898087948805, 857.48490177487486, 857.52513477311572, 858.012312704603, 858.41204964879375, 858.85053286510492, 860.10152140955017, 860.96972745835967, 861.38486028570355, 861.90979351833403, 862.67007009348583, 863.09836013685049, 863.53940854958637, 863.62152283072021, 863.74157164277358, 863.86151747506051, 864.38226420949104, 864.49677703970201, 865.00673738790113, 865.60056253500227, 865.84931667679689, 866.51379454409403, 866.55882848851354, 867.55771160033942, 871.01845877479832, 871.53720966392427, 871.58540341024934, 873.63333894956497, 873.78147152210624, 874.28509250193247, 874.75177652150967, 876.08857653465384, 878.01862682997137, 878.78969678811848, 879.1917194243083, 879.81274726355491, 882.1086446017631, 882.21194510280282, 885.30946383835726, 887.30450238977915, 888.55420768762997, 888.73572487400497, 889.23969647431102, 890.01540897302812, 890.72398738516927, 891.0271015903229, 893.33241184669998, 893.54807306761927, 897.86701477703673, 898.49179455506817, 900.72523074280139, 901.2900718118791, 901.43964864154918, 901.57532831229378, 901.6565962935872, 902.1998892446336, 902.23435571803418, 903.65098025095881, 905.31168635017559, 906.85435012360767, 907.74813946303766, 908.81213294650229, 909.12536754275175, 909.41229995512197, 913.72144114515186, 915.08338212340936, 918.4780781344607, 919.05785563012955, 919.68606195023324, 920.53022014693113, 920.69655271873648, 922.7570583680365, 922.82375941950465, 923.24283098537558, 924.63703579852597, 925.17942814815342, 926.56865505877772, 928.1167044470651, 929.32092349524044, 929.82601400571866, 930.81704160083495, 931.09156884842935, 931.67707680724004, 932.49132927048333, 933.88845888306128, 934.03656379075085, 936.98802260974549, 938.4675633613607, 940.2256461482275, 941.32213846455477, 942.59437586133697, 944.80671091491672, 944.85216016282141, 945.26777845731726, 945.51836970494571, 946.44850224004028, 946.65211075460786, 948.73988329990448, 948.96435850738817, 950.84763063429921, 950.89802507859986, 952.39270937325432, 952.63109022154276, 955.28675496959488, 955.83432708666214, 957.91781937023586, 958.65234745723785, 959.13265245836897, 961.21997814222141, 963.77222570935839, 965.18803368687634, 965.61214187050757, 969.07544615516224, 969.20606012551991, 970.77122396484526, 974.67791078890241, 975.55812292413555, 977.11491349395919, 977.27038615167146, 980.07794213011096, 981.12063673059436, 982.63672675671489, 982.98873000754088, 983.59997957339567, 983.67372207985522, 983.73837892750248, 984.2694106303984, 984.5454969966396, 984.65438203017266, 988.18708661450387, 988.86854972342451, 989.15549232104786, 989.86651770135757, 990.66483009363196, 990.87942575199088, 993.40495292304308, 993.80483672920559, 995.21343302270293, 997.15483375758708, 997.42414430769099, 1002.1110895877844]),array([14.058980375381203, 14.710883176255216, 14.932559015731567, 17.376287566778423, 19.083831314651718, 20.701057553416529, 21.08318957545282, 21.83640752088678, 22.234314966838451, 23.383959713212722, 23.434479712808912, 23.82010274830467, 24.988061310253791, 25.046196582084367, 25.815933272189273, 26.208039625388242, 26.932411653323392, 28.066629388317686, 28.367884266389527, 28.995317957009338, 30.585427367717919, 30.961195114454938, 31.008991603752321, 32.824998347633723, 35.019415828603769, 35.263300635295167, 38.904124737333234, 39.791168574167429, 40.231584866774917, 41.494199541414687, 42.653890621946267, 47.027533912115487, 51.096231369060888, 51.191315552671639, 51.790632978572098, 52.246354931087183, 52.975328164577391, 54.542875392700751, 55.115720111778387, 56.004731684753402, 56.538759557132423, 57.607026584130807, 58.324545584020932, 59.163046049664587, 59.334977168676389, 60.296038169791991, 60.435764387537709, 60.61248149663902, 62.758232796094191, 64.100600400193684, 64.421898996220847, 64.573353943757184, 64.852468410293781, 67.601741318031756, 67.735167353590654, 68.741715878751009, 69.453279776128809, 69.58131048823698, 69.703514650198173, 69.819726647941081, 70.311030632314655, 70.506118886039658, 71.260364738495454, 72.112002885823998, 73.682723007772708, 74.257764056151331, 75.401070140792598, 75.570551429925899, 78.394108342119196, 78.679923149939881, 79.22215894112199, 79.588069830654092, 80.314782266795376, 81.009442371524528, 81.484498137028652, 86.046659250653377, 89.0562688508913, 90.29854068532795, 91.19011854148475, 91.981977780719575, 92.381100492396868, 93.115577299810298, 95.168287644387803, 95.468580638237185, 97.38990058014052, 98.778895930969895, 99.23207389215051, 99.831036447568422, 100.57283447426346, 104.34160494907425, 105.15273790330785, 107.10443819000584, 108.14782029027913, 108.31811477938696, 111.52201746813896, 112.62657091807459, 113.62127529435377, 114.33525615604373, 116.58808534458953, 116.80327926477126, 117.86673446026431, 118.50643398091086, 119.31412405268405, 122.10913786668209, 123.84984243642697, 124.43012612124042, 124.79762585758363, 125.52190840831335, 126.9513086140085, 129.46470384274451, 131.03952214239527, 132.3843563378621, 132.69069620095388, 132.96832558565882, 136.04445004531806, 136.70900409742632, 138.23289002605776, 139.45991578631072, 139.92074777878676, 141.52612079503609, 141.69299835703444, 142.16589722171551, 142.58492487729004, 143.78396633274195, 144.57474166526083, 144.91040709366658, 144.98949133378514, 145.23752613144384, 145.53411952899185, 146.15582170492007, 146.35526286829472, 147.31695863018174, 147.38376943851927, 148.16327646402041, 149.90821220435109, 151.10916520036545, 151.57914434477573, 153.65758718005094, 153.85945647305184, 155.20005247559598, 155.9807625448087, 156.33275125410432, 156.36576214397502, 157.59652448992864, 157.88604217366355, 158.03136481884982, 158.27737500776192, 158.5002120386383, 159.54064411075007, 161.64745033176811, 163.10271991638706, 167.06436230531321, 170.13388512630914, 172.81457642022681, 173.98290007952809, 174.51499420007409, 175.39508149248545, 176.31216378966809, 176.92001555561095, 177.30860267942725, 179.3524418645076, 180.74233434820547, 181.06743688737376, 182.15171487333953, 182.58740120358542, 182.61929235324715, 182.86092520929648, 182.98554732558998, 183.01246974434079, 183.10418055315722, 184.57492506589375, 186.42288199749294, 187.00901024936215, 188.09610225410108, 190.53294649453878, 191.12133498080206, 192.59620830222849, 193.90546500156776, 196.1971789893054, 198.27214304954245, 198.72220017248458, 198.88923768079846, 199.89232874543617, 200.34491732868179, 202.18474521600268, 202.38114973783681, 203.21857045114157, 203.30673896966371, 203.80083767214231, 204.32390683577137, 206.99322553944512, 207.92832346034493, 210.15414469614626, 210.54104599239133, 212.08689125964113, 212.31576665033856, 213.90857616143776, 214.45028067075472, 215.04368091986902, 217.11857320807692, 218.75875261361028, 218.92388593487598, 218.96907563118086, 220.50195475308948, 220.74479353936906, 223.11092520729974, 223.36238204224495, 225.6844415363403, 226.37300704027129, 226.48151545552315, 227.20702731661635, 227.65979064276581, 227.84839387489643, 228.56399006043603, 229.22131063755148, 229.70815981274544, 229.79808117321653, 232.18088826318544, 233.07716751483912, 233.76294473784264, 234.41710825048494, 237.94727528463986, 240.95857224353313, 242.35837240412309, 244.51085499975207, 244.93066158839571, 247.90083885683705, 248.15979378588793, 248.61929019359022, 249.08283568591781, 250.27474243946463, 251.23725276190655, 251.31642999927763, 251.55604204123685, 253.12047724315224, 256.16900867725786, 256.48946705305985, 258.55028539509766, 261.50927208538525, 263.40340673166844, 263.66009929942152, 265.05093131140342, 267.56324735494155, 268.59304995520756, 269.27670177272216, 269.8022469291933, 273.49319057016106, 273.56454315462452, 273.74713012315777, 273.7852910433661, 276.59173739414126, 277.37389612092267, 279.67786099170706, 279.75463775710807, 280.61941914976148, 280.85592771231836, 280.9165425928997, 282.11936608859833, 282.6766888963358, 287.50266844606233, 288.57578678336728, 288.67548991784423, 289.91600312688473, 291.16958318585876, 292.53128672271663, 292.83081407818332, 293.40561000624251, 293.73728480685531, 295.28475378647192, 295.90605644924364, 297.52054033195492, 300.29663659020378, 300.42459273130527, 302.70311927786088, 304.73915709196814, 305.23600563277682, 307.00947489487135, 307.36496528979774, 307.45487494303381, 308.57786689555695, 309.00718590269537, 309.24092273305854, 310.44444528975527, 311.79978537222371, 312.52197652248248, 313.15147064393074, 314.33638501743656, 315.77301745759996, 316.2424256601596, 316.29045090634287, 316.95355005355464, 318.67891437746334, 319.50744313690717, 321.09091348594944, 323.07203591547585, 323.79754355542485, 324.45810177324273, 324.95261001671588, 327.00717367067369, 327.94020251466986, 328.55874052264494, 329.09533400721455, 330.93320560933654, 331.12187064552211, 331.90094153900634, 332.09503114364372, 333.10550782519755, 334.13216211720635, 334.53183882591378, 334.76509268785207, 337.60184293996019, 338.46633631525197, 338.58857494923927, 339.47250913354907, 339.74449282800867, 340.41851899009697, 340.98906558235984, 341.73977194311794, 341.80702693239505, 341.86216593646822, 342.48411219993869, 344.51726663627454, 347.01666688409199, 347.44693314357488, 348.90356176936098, 349.75690467626146, 352.63792737511108, 352.75800843074666, 352.96435631055937, 353.26187136111787, 353.6955288632538, 353.84964058005352, 354.15229431689568, 354.83338721758128, 355.16932011963218, 355.60191812073805, 356.05814914468874, 358.3123011327333, 358.64236138437587, 359.74909195506763, 360.40254392656936, 360.46537448167823, 365.26771233029626, 365.68910328187138, 365.80784195954033, 366.13623411776086, 366.61541821040248, 367.87942777363952, 368.09404999101451, 370.00471713078946, 370.11770776698933, 372.87390014764077, 372.95347048623751, 374.8114392980595, 375.16009071263198, 375.32529925614233, 375.54163202457028, 376.36265672928147, 377.15808933220512, 377.18270631510478, 377.29930063354806, 377.34757598797637, 378.62282945665191, 379.43754222418909, 380.39639031195571, 380.77430356415783, 381.11849192867925, 386.78531798053695, 387.23726169766678, 388.65085886196488, 388.77745200252212, 391.27974515141466, 391.67378522502429, 392.12771302502784, 393.36812110223246, 393.5169419499241, 394.41397452429544, 394.86333446340524, 395.73787524708058, 396.96382751516273, 400.29816291194368, 400.98126428352015, 404.06544002421907, 404.21076828619357, 405.25282459934942, 408.95965663293214, 409.30821017343419, 411.9399846929241, 413.1908629722007, 414.49401863416455, 414.74800117736845, 415.35630187752804, 416.40534362594173, 416.75634841464955, 417.70896140715092, 418.01499938328379, 418.33889144410443, 418.3623531338402, 418.70585432991703, 420.50672048153115, 420.83122746844856, 420.93080151788132, 422.02811950107099, 422.27368235826594, 423.46198642666695, 424.048351633229, 424.1460547196923, 424.21168342784301, 424.51887970229217, 424.93004852262391, 425.08392663704734, 427.91043979737469, 428.10249224674732, 428.57188446806356, 430.3331819080841, 430.49867846730677, 431.59105666190032, 432.46327840379092, 433.31739528663644, 434.92863950798187, 436.21909631821637, 439.74086878188439, 440.58013981086134, 440.95101808148752, 443.21842706927515, 443.68545698909031, 444.46532632138667, 446.09795699596697, 446.74817265477458, 447.68804038135494, 448.29042558527141, 450.00315068530762, 450.37006851224237, 451.72478577750297, 451.84222373221968, 451.89341903055401, 452.25291790294932, 452.69030856443186, 452.77220098886897, 453.22223032869613, 453.32298786723271, 456.66785318630673, 459.65210988663256, 459.91389556233088, 461.24206196006867, 461.83275540052944, 464.16680573917074, 464.59545095820431, 467.05698121329351, 467.87800354112892, 468.13854393541658, 470.939934825531, 471.24652698958238, 472.0202198711392, 472.20143963205606, 472.86930564793641, 473.88315367152222, 475.52115500146186, 476.50335008516782, 477.2025445895668, 478.48809139347691, 481.43313118431797, 482.36683955372536, 482.71648054635995, 483.26558565864667, 483.95671973870452, 484.39356434453941, 485.5169769463642, 486.58965080217718, 487.24603993894414, 488.61784880670558, 489.49179113768577, 497.1204905838951, 497.97267413921827, 498.44438930334888, 500.13254069456599, 500.17723802957642, 500.62472627881323, 501.28476163003717, 501.87688669853981, 503.22415881170588, 503.72637811339456, 504.07954329517037, 504.20187277126041, 506.69531254985162, 506.98046914626514, 507.45553293746582, 508.20733718305388, 510.08623797349156, 510.89309231786706, 511.10246880381885, 511.8205087995799, 513.9057949555397, 514.24986440482405, 515.75811730270243, 516.71650830587168, 516.82787474708357, 517.9888913169226, 518.54936173773046, 519.34328343401205, 519.64897249939008, 520.71205341781206, 521.05863651157836, 521.70049803075642, 522.45576418542055, 523.20739488199297, 524.59070515010421, 525.56652908263436, 525.81326628469071, 527.9314197807854, 528.65311373945212, 531.68988880596157, 534.30626592654755, 535.03566504582614, 535.29582900521837, 537.2844468572946, 538.32508879044951, 539.59746619591283, 539.64896803892725, 540.71641706754974, 542.8420990435867, 543.33607478699992, 544.19475060518766, 545.53180981312971, 546.19622798338537, 549.08168396882138, 549.7785221772948, 550.08240566957079, 550.15440692108928, 550.30132621406267, 551.54626734501858, 553.53438595951275, 554.07927159449343, 554.96711388681433, 555.47303179093103, 555.62099442092529, 558.02618036380261, 559.38782266399346, 560.8172865481107, 562.60747625091858, 563.23939445993983, 565.37793951620961, 565.72178529155815, 567.0543754498766, 567.22783681625231, 570.1355309240837, 570.21317893556738, 572.10642107480714, 572.20373877961708, 572.50666686202646, 573.05532651103067, 577.07256229104541, 577.41470074541189, 579.04062110383734, 580.11438855573647, 580.67290884283818, 580.88489941318926, 581.33617125686897, 581.37774319126061, 581.80642363912568, 581.88788671953694, 582.26904303527886, 583.0848407220908, 583.2311681640183, 587.54884428901494, 589.50470234483112, 589.89725454686618, 589.95658801008165, 590.73224098693902, 591.37511848326938, 591.60966653783896, 592.11183720081306, 592.56950159540042, 592.82435538985794, 593.14506681392766, 593.6523400814292, 594.84691139860217, 595.57900789202563, 596.10797339836165, 597.0314360495031, 598.24743173394552, 599.46926776750172, 600.62574494229511, 601.45391040358584, 602.3603281785123, 607.27898086441269, 607.69304162467233, 607.95699005159611, 609.5127453245168, 610.17176369520507, 610.5999204232952, 611.20888941982923, 611.82267112184604, 613.61593579524788, 614.34337296314357, 615.74819688513378, 616.22251781913178, 617.7763421375555, 618.777511590372, 619.30963965756644, 620.14444838958525, 621.34819960921072, 624.99696348292127, 625.26272435736018, 625.87925979976512, 629.38067667693394, 630.25187079054524, 633.21131733788638, 633.70566143958558, 634.46483368586303, 634.83279349989914, 637.80620208843789, 638.5286598859866, 638.96635365091265, 641.54297610365859, 641.99049342319245, 642.12019411180574, 643.26176313779217, 645.5172796230886, 648.01515615318476, 650.68532343537493, 651.38415469859183, 652.16657987226563, 652.6852690128959, 652.71953444613018, 653.55917513159068, 653.84758178702873, 654.01221728297412, 655.76151840064654, 656.2908552812662, 656.38056768256263, 658.03142639362375, 658.93722266852456, 659.0266843406896, 659.34752111311468, 661.52384061723626, 661.63153283809095, 661.89301739529242, 662.79730071412234, 664.05890518161652, 665.81772779125515, 666.13878526902647, 667.39182940977491, 667.42577378457895, 668.9543274162138, 669.69022878331657, 671.46718232919102, 671.52273009643056, 672.94908080806761, 673.8395510993488, 674.53757857459107, 674.63077603756778, 675.40275274638236, 676.84493366621018, 677.28946551328067, 678.72267639404458, 679.7213094047238, 680.23202452983412, 680.90675455055623, 681.18711088029465, 681.21989964303668, 683.97359279263912, 685.16544932925035, 686.42628888722265, 687.59701083728407, 687.91071861260582, 688.35004865251017, 688.37009533674245, 690.86088814329389, 691.61530949627581, 692.43846194108608, 694.8978552714434, 696.02202411271503, 696.09422535429076, 698.33089379127841, 701.25614053943377, 705.54433460941937, 705.80976293055039, 708.09391313165781, 708.42515969253304, 712.00260872312197, 712.59147279618321, 714.20126435474356, 715.06861598784292, 715.56380322871451, 715.97028908636116, 718.99262549533933, 719.23334424073073, 719.34603930473588, 720.09413474524627, 720.19580548953002, 720.83082807299638, 723.25520884589264, 725.9751444431098, 726.74338369028214, 727.52931427179237, 728.62069452644164, 728.70210250495768, 729.73467257567279, 730.03480933036747, 730.84108405713141, 732.23040642026285, 734.97937888586648, 736.25453913621539, 736.89656401283401, 737.37121886359216, 737.57360175661529, 737.91692639123687, 737.9640645348029, 738.8779968561588, 741.76684824224412, 742.834986703136, 743.29870621221471, 744.79710860546504, 745.34002905800025, 750.00466940588353, 753.45610168427527, 755.61628473625024, 757.24323793159613, 757.40336658995898, 757.62694194602, 758.38867505204621, 758.89738542817622, 759.82419291988663, 762.54495917215559, 765.6769034433687, 766.75343229620137, 768.05120042904548, 768.18413325060374, 768.60154585685996, 768.81044597119399, 769.25084296444606, 769.57564819401932, 770.45577305780137, 772.62822363230998, 772.94983367519558, 773.3583487849213, 773.99083741459981, 774.71965337681911, 774.95417628877442, 776.24654366199934, 776.92025513431997, 779.34107398352342, 780.08922206191073, 780.83980578110652, 782.66916978062238, 784.5229770467231, 784.62918289675417, 785.04206018362731, 785.70883994420183, 787.57663495793759, 787.69038366664563, 788.93271906810207, 792.98809542388062, 794.52951040065125, 795.68144303513702, 795.82861743456453, 795.98175261910376, 796.04359850274363, 797.01092755700915, 797.062569322836, 797.44499538016987, 797.51177693820705, 798.30658622569081, 799.06691452786731, 799.75594121743052, 800.30720424409662, 800.47999614477567, 801.34782919288432, 802.84495382175294, 804.92944354807275, 806.71801283634954, 807.85515010161282, 808.37956431570342, 808.49730164223854, 811.13465044506381, 811.2373783438801, 812.58904743308938, 813.28144009296227, 814.67360949848523, 815.40755625253291, 816.19724645363522, 816.60968526930753, 816.77536828613972, 817.73081425930002, 820.12190978701403, 821.28943856449609, 822.24419605695164, 822.33213944040619, 822.81581996253146, 823.56425052168083, 824.07729146416557, 824.59567468238356, 825.05306815217818, 826.02936256713951, 827.57342579805527, 828.21662563433074, 828.58843454736996, 829.82323462246961, 833.57601854137704, 835.08266391652239, 835.11505648591026, 835.79382101343072, 837.66127503889265, 838.47078725210281, 839.56169269488191, 840.30981420274532, 840.89844027747404, 841.31243762581005, 842.22021046440864, 842.48729176168877, 843.266236938926, 843.45911108587336, 844.62359305772532, 846.97136794124083, 847.91203832956842, 848.33855039216348, 848.54418124786173, 849.31071888680606, 849.7675403777946, 850.68681187739469, 851.3354317382956, 851.63228592040389, 851.95700896672781, 853.56939540972951, 853.95715984195397, 854.02301756821009, 855.89784487538657, 859.51251653563168, 860.91017244525801, 861.45801980316628, 863.05912606447305, 863.24223575914323, 863.27669087510594, 863.79677330835386, 864.84496853776693, 865.05112158136058, 868.45074160646311, 869.18485637051185, 871.06216560285679, 872.83494352447815, 873.86900983408964, 874.16205171848799, 874.63244841460778, 875.03163720409498, 875.42453095599706, 876.78884800154754, 877.36771173385387, 877.65710704202468, 877.71149396000908, 877.96012880778096, 879.21347146625169, 880.38044861762057, 881.01003585126296, 882.8156398513006, 883.91151914637601, 884.9576067636583, 886.84827028629684, 887.7853634976068, 889.54388093620173, 890.31627583504201, 892.24039864247561, 894.17515167653414, 897.31088921662069, 897.88295828757464, 898.47698829911053, 900.97402264685752, 902.92247941601727, 904.00508182540216, 904.50037837573632, 907.16524024825264, 908.58727776289743, 909.89263863376914, 910.25382129804098, 910.55513291589136, 910.89730860061604, 911.49849998912885, 913.67182521433506, 915.34841136032662, 915.4936594134374, 916.49288994199947, 917.21088319522914, 917.43591297535295, 919.28253230157327, 921.49465983886694, 922.52342447185504, 922.90632469729485, 924.60760092771181, 926.40665005338496, 930.90587457530626, 931.63272308942544, 932.60400443969604, 934.10939669640823, 934.19021002291402, 935.68101168654937, 936.06912653717586, 938.90952119974463, 939.41113058549865, 939.44910248872418, 940.14734416403439, 940.39522418049421, 940.65101291832968, 940.84275068673378, 941.34159602648367, 943.58979424099664, 944.89757479905927, 944.93217338037766, 945.52945793877882, 946.73092263038473, 948.12690759951738, 950.1707029429549, 950.9340329154013, 952.86194890795559, 952.98810238115732, 953.71375343599198, 955.27163920176667, 956.30794805917719, 956.79242330298132, 957.44923769028139, 958.39757224734512, 958.93902950772224, 959.31216591061241, 963.64867842228682, 963.93965381434703, 964.87928364048912, 967.19425044371394, 967.27759769365434, 968.45621188003031, 969.41442508647003, 970.28358417171762, 971.50870042453596, 972.419247025137, 973.92225510337141, 974.63543050931435, 974.69736100139608, 977.80504313760332, 978.00322643495485, 978.07071107154047, 978.23804661632789, 979.1317296962884, 981.08654021482164, 983.02472153387646, 983.39925245127324, 983.72133511856271, 983.81197223525294, 986.0380327740902, 986.33622918736182, 986.43803126995863, 986.98681554442601, 987.3957478724235, 987.48352627233851, 987.62188641745547, 989.83674159896771, 990.43950770648667, 996.38446757584336, 997.41785812172327, 997.96557945056907, 998.40129133975859, 998.49187909539876, 998.54199912820161, 999.91631512386971, 1000.2165498506462]),array([85.324731739252599, 85.544381757537877, 86.799197458893659, 87.307187426821613, 87.47329704896454, 87.575384637244213, 88.12145306577618, 88.678887139806463, 88.861942517392166, 89.494747507206526, 92.577354397429048, 97.419616344166599, 98.600099060674353, 100.54713482459722, 100.96396940359135, 102.9141883787502, 102.9889091770205, 103.34772623199551, 103.56358109942086, 104.88114908648842, 106.17663455969389, 106.26240092951144, 108.67306776418815, 109.08272769773869, 109.19079581976695, 109.32808029886567, 109.46413436376184, 110.07928728346313, 110.30617371609581, 111.51604933872957, 113.68051208750747, 115.22889395383868, 117.67254190326088, 118.07915965638297, 119.51059391183114, 121.19805217394141, 122.39948783677924, 122.47215022100511, 123.14024462787042, 124.49088641479349, 127.21320172033471, 128.61081489956575, 130.02839844820707, 130.42994536604897, 130.77605248711973, 130.80993389581749, 133.41023252127434, 134.16357215224289, 135.01227340253126, 135.75836702728603, 137.02338366361985, 137.65285875574531, 139.73433145515818, 140.05400075319469, 141.2560069934357, 144.90647775584301, 146.32802207784354, 146.45617605394406, 146.95791556074516, 147.41976936606946, 147.79458821177786, 148.18341746804631, 150.95318684190065, 152.98699538098788, 153.83067233643411, 154.69922613918487, 155.53742784735354, 156.35401591064277, 156.72895016720611, 157.63184457413121, 158.50399937888849, 158.79231181597441, 158.86176333285269, 159.91687449017672, 160.65015098547545, 162.29677417927931, 162.54436611777095, 162.85006767030637, 163.84204620143669, 164.15726403801406, 165.72073250402659, 168.70904110112528, 169.14618979133536, 169.28117643259827, 170.99853134844392, 171.30044165204922, 171.91315505480605, 172.09998688912361, 172.24516526153198, 174.21332771435198, 176.03174379457727, 176.21662994789509, 176.61192909547987, 179.19557996052495, 179.32785658344591, 179.67141040562586, 180.45321597419186, 180.81596395209328, 181.15383862774013, 181.56877889164173, 181.63178787671876, 182.11344123074173, 182.33373108753224, 182.89650376712666, 184.59827978597497, 185.43814529118447, 186.00987435442721, 186.27821267471006, 186.88806436131381, 187.50341259989878, 189.05871577954682, 189.99283147006318, 190.87437125715866, 191.13741973942413, 192.09820446933634, 193.05589870992412, 194.29937619735816, 195.13167322474598, 200.85167612889501, 200.93662558537113, 200.96693245157283, 201.15145341539127, 202.72000465541743, 203.10048918684458, 203.28709036441924, 203.63485970860094, 203.75606100679821, 205.97309915260959, 206.77656984632711, 206.80584497744752, 207.41840165572088, 208.25924130337216, 208.45579213630484, 208.48574399332361, 209.43477667286081, 209.58913850671701, 209.81319786577242, 210.43789861387614, 210.67848746301266, 211.94394305092888, 212.93618737468591, 213.52311055642434, 213.73831567112094, 213.8883325543901, 213.93024719472967, 214.00792897994282, 215.04339285517744, 215.30518412259821, 215.33237499368786, 217.11367548858323, 217.3196283226813, 217.46982434600403, 218.08169958287985, 218.18622430319354, 218.29308458261747, 218.88008984978666, 219.12978395721788, 219.20944711701912, 220.07779296915263, 220.15743976953638, 220.72403249376879, 220.77521469096678, 222.17556332307964, 222.84646389311717, 223.4093547331025, 225.62491752783157, 227.92551981801162, 230.39509884659861, 232.4339596084792, 232.53039964650443, 232.61927602223204, 233.25683823846882, 233.30052074892302, 234.40636553553782, 235.32846776247442, 236.51053257388529, 236.53154091898384, 236.82306708019652, 237.03868595156985, 238.90106775611244, 239.45300392512331, 239.50810712838262, 239.53679233182601, 241.39762337516987, 243.37880644671029, 244.00734725325734, 244.14665233778544, 244.17779022062493, 244.43700539398077, 245.34576801638332, 245.41801389313153, 246.1065635265324, 246.51285288641157, 246.6890172005692, 246.94062252720775, 248.43655653962477, 249.39010107891852, 250.87325435282102, 252.95143468470533, 253.87352745944361, 253.97166314225268, 254.44782672844647, 255.54220491582564, 256.47101971597283, 257.988675143926, 259.28844273918713, 259.93342023160972, 260.12017378917727, 261.23009951532822, 262.53150759761888, 263.04015894366535, 263.23004106250994, 263.81293037369755, 264.11968845314505, 264.98617625642908, 265.34163799775109, 266.99418042484768, 267.02125174574832, 267.16541554268764, 268.68430176599429, 270.24549868626065, 273.98346053284359, 274.64893157863253, 275.83792592479585, 275.88907653920648, 276.07152611164179, 276.21237796862783, 277.59654541148421, 279.90861878518996, 280.964855637683, 282.28016167123627, 282.44855925698874, 286.13261684825204, 286.52779283050887, 287.20944160682177, 290.21898058742806, 294.42602914424077, 295.19100202754078, 296.51348803263022, 297.32871696673658, 297.98008521400124, 299.62746469553076, 300.26780942923995, 301.74434753693191, 304.96855349311221, 305.19116327950007, 305.32501247410357, 306.00405514232881, 307.2654162891115, 308.0045947333561, 308.85964631251449, 309.35214308966334, 310.55221864922498, 312.44339568314734, 314.5812873621735, 315.14213239215348, 315.74285166438915, 316.75176415138833, 317.23063989480431, 319.58531180146048, 321.0358598025071, 321.86271218702319, 322.43877211337588, 323.70894370953391, 324.06399598903312, 325.75332731934327, 326.29616754024778, 328.4655348786664, 328.67963675806419, 331.73327437854169, 332.13811394121706, 332.18549533341411, 332.82446662500507, 333.47288614326442, 336.77995430559548, 339.42270169589483, 339.69605686862928, 339.76347833528399, 340.08526893283806, 340.14798668548457, 342.0011680754763, 343.13393386451975, 343.42605276601313, 343.88148626652253, 344.15838820436392, 344.38878402157047, 345.67620458704079, 347.54487072758616, 347.88436758147429, 348.39957786732634, 348.84798890077656, 349.18220364242404, 349.84510406658598, 350.92247833804214, 351.73638586120029, 354.78279448391146, 354.94352211365288, 355.65904641038458, 356.07139215334541, 357.39577345061349, 358.71250295061395, 358.98896061620485, 361.05450884072036, 361.30354642576594, 362.48455305063567, 363.53847107502662, 365.62985329560456, 367.31989857660193, 367.5452960671829, 369.78680972163176, 369.94335032806771, 372.66178681861447, 376.37972913707432, 377.09633278967414, 379.09729138913286, 379.86938858906382, 380.0751463899208, 380.25705211395177, 380.86552513787819, 384.08441942094743, 385.89053861016657, 390.1162283449604, 390.14733313780016, 390.64703135450992, 391.88213325510236, 392.49675597625503, 392.82887249666925, 394.83312393654467, 397.0598893802092, 397.53175570627445, 397.65106298068366, 397.75490609638103, 397.98186639006718, 398.25145984431788, 399.13064348156712, 399.7905977223362, 400.21831709681464, 400.76638018782211, 401.76919437178941, 401.954576393389, 402.72794495483782, 402.88881287782965, 403.15677388529622, 404.02833306569016, 404.2860495674737, 404.34464494183936, 405.83040644891247, 407.77419035877205, 408.50708252182159, 408.5869068013501, 409.10090210022679, 409.43083040948375, 409.64868765388115, 410.06188682462584, 412.37165579757277, 415.23115203466403, 416.89613720706535, 417.58764399286997, 418.79976720782389, 419.35456414820067, 420.72354545674284, 423.25752509316374, 425.28313163398707, 427.07088914057812, 427.65437541346211, 427.69428335587105, 429.45662515233363, 432.02133958038962, 432.78976576891301, 433.88938904045932, 434.11785555218586, 435.44464911881943, 436.25231474698035, 439.23507985143141, 441.25535065825227, 442.95014613117354, 443.07896809749622, 443.14280337110881, 445.18520149909295, 445.52591464505906, 445.62131526207668, 446.11821299714643, 446.27224146605278, 447.21245967510254, 449.04887612999585, 452.63451098075927, 453.87699390741625, 455.91919941625252, 457.15547591455697, 457.36666503540738, 457.71050742567644, 459.97439120716916, 460.93330157092447, 461.29002528099448, 463.0806233597329, 468.05474726899871, 469.03035686481968, 470.39973291986405, 470.57888271775016, 470.95563603153914, 471.05673515698209, 471.25084429560513, 471.3429572544041, 471.49212272998113, 473.76636578080303, 476.21135513442647, 478.58007074296466, 479.77522070194021, 480.53130672023087, 481.64277578412606, 483.18533093997502, 483.50777488334677, 484.34628849487638, 486.99813653441839, 487.73954853826859, 488.62951042953, 488.76196700510133, 488.96950245203345, 490.85876673527252, 490.89325740491972, 492.21297306166554, 495.34050811526066, 495.98609641762278, 497.68478169298481, 500.55177943569635, 500.59464492901435, 501.915082511089, 503.09524399420803, 504.0931776000217, 507.87684516762101, 508.04049135498525, 511.24794396585378, 511.40785807832884, 511.49568369644879, 511.91148578724108, 512.00692963764413, 512.89884031153588, 514.30030355973531, 516.40032770553626, 517.44574117012962, 517.81190796533065, 518.05637898674786, 518.83241518061129, 519.24215505230507, 520.98723543699964, 522.9746731431552, 523.03619672320747, 525.22762725768473, 526.4825133815541, 526.63965050427771, 528.4668635099099, 529.04773655660165, 529.52396209822098, 530.22538777094144, 531.32178535269838, 532.69951419432948, 534.01015816661641, 534.16110745293463, 535.29417600513034, 536.46698233527331, 536.66837278798164, 537.86204039663073, 538.32106200565966, 538.84345781296281, 539.2091718750014, 540.93147369750329, 541.31879896979467, 544.48863086822837, 544.59755198839662, 544.95370001735819, 545.44731119392395, 546.25320827214409, 546.53693409257266, 546.68032838830004, 547.15270092444553, 547.48423525629551, 547.91416950789267, 550.79270954318213, 550.97863106601608, 552.41264385878458, 554.83566398227208, 558.521083711546, 559.13107898364854, 559.35626924765745, 559.55268445195372, 562.68548335697926, 564.05339209643012, 565.51996623574769, 568.87507524612795, 569.00124652411841, 569.27215240432861, 570.02385085806748, 570.77244111593643, 571.12994173876166, 573.99731418371857, 575.85999446054495, 576.60519023111146, 577.94288821870748, 579.20954281193826, 580.51061364415011, 581.41678826232351, 583.41107428895759, 584.12358414192897, 584.56473598007665, 585.64219332649122, 587.84110680449135, 589.80234120874445, 589.85210319352302, 591.19611907885883, 592.81670453977745, 593.49004212477894, 593.75501581645267, 597.47161099647735, 598.4009245605049, 599.46376195094035, 599.90245444083348, 600.18908357405428, 600.53367763327037, 601.32734395751049, 601.41619739579767, 602.11943012320216, 603.00861270994164, 603.74566733831125, 605.49445461722644, 607.00884898970969, 610.15433597143067, 610.28162577634862, 611.51720356217083, 611.66414966466539, 612.00181818826218, 612.67834000324888, 613.72350305471014, 614.95320129169647, 615.2285733867559, 616.18617478638294, 616.36657935600749, 621.0810866414306, 622.88746216444895, 623.76498257900221, 624.28391929872839, 624.55494885883309, 624.95549607202793, 625.24629744349818, 625.5369619142997, 627.94211580485558, 629.51644586710859, 630.03447197261323, 631.48536284538284, 633.85386838029626, 637.28002560407208, 637.37313652158741, 637.57234752184388, 638.17151192433266, 638.84125672429877, 640.20003851477611, 643.73683605960832, 644.29288869522372, 644.35214986628023, 647.39681859058271, 648.86484051545642, 650.56353737248173, 651.20710849461943, 651.4326214492105, 652.04160498368753, 653.34603522659756, 653.55746382261202, 655.26008605945526, 655.8139747700086, 656.30251006613582, 656.48080615928507, 656.6788304139709, 657.49198662564459, 658.5540084745885, 662.27378381104938, 663.1653563228507, 663.76000286978615, 664.90050426828975, 666.10536660761909, 666.14512550826271, 668.07443931255045, 669.55225755496349, 669.6028618786886, 671.61058356582078, 672.96398227332952, 673.14430643388266, 673.83965791198546, 674.25823145495053, 676.04900631497094, 679.71230862810648, 680.58684820664018, 680.68034936350705, 681.13863156750858, 683.24720846298487, 683.42859924352547, 684.18231941479053, 684.32844061143817, 684.89122583647793, 685.1342738181263, 685.20963484651645, 687.86800432242035, 687.91402581933221, 688.34108580878024, 688.81999129351595, 689.35128969534617, 689.8768650130919, 693.3555892177651, 693.64869875625448, 696.32954798826358, 697.64757676869885, 697.88103501679234, 698.06549440674758, 698.28272676565291, 699.59173716835937, 702.16828432764987, 702.77383508249886, 703.356345317403, 703.79509613942912, 704.18693861115719, 704.42195205779888, 704.94938057567458, 705.39796443904766, 706.43947774583, 706.48251368799117, 706.66697844394628, 707.44045557882782, 708.5562724411476, 708.77654613963693, 709.90617321210755, 710.37735330053908, 710.69175511721335, 712.57251955966206, 713.81948753590575, 715.20317392606614, 716.81204078232702, 723.35410639279519, 724.27695250939973, 724.42925441253135, 725.06583767021846, 730.21854175904491, 731.75186704967916, 733.89674049494488, 734.05589634547857, 734.24281655258847, 736.86479607310946, 737.57476056797123, 739.34552457435814, 741.24275849517767, 743.59694178896859, 744.90361430172459, 745.08110939110566, 745.36348230666204, 745.4689167381789, 747.19959949914266, 747.51423116792751, 747.89932027143345, 749.07814471211111, 749.65649274535201, 749.91282631255103, 752.89685789538089, 754.22482696509837, 755.26104055886242, 755.76632293242869, 756.55251086655915, 756.79392880044043, 758.92541159241762, 760.22657619221468, 761.02257453976574, 761.20467504359442, 762.44637187034891, 764.71449594245189, 766.12347150792948, 766.60924742415693, 768.79826892390031, 769.18050116630218, 769.25969461078205, 771.12495828860176, 773.40943349791598, 773.44397233368659, 773.97086467658119, 780.42133703601178, 781.48765614150818, 782.34400742632204, 782.51293249002413, 783.47823622355565, 784.25751896701843, 785.25834401758766, 787.02114020257852, 787.70344635001538, 788.11832119430676, 789.07477107980765, 789.17287685537553, 789.77473144960868, 790.21182944676821, 791.10538082893527, 792.32447061356413, 793.13127110980076, 793.53718974425055, 795.16040723248329, 795.25688067555564, 795.65368219071308, 796.40624917431842, 796.4376526126149, 798.28496271542258, 798.78456803543304, 800.74609301108285, 801.66487148971055, 801.76989598316038, 804.79042826724185, 806.05862102192975, 807.11426277328962, 807.57710658542555, 808.15081693407092, 810.76439292961265, 811.27702406331025, 813.81599811866624, 815.35001906462026, 817.03512646670583, 817.37800873113792, 817.93883575917607, 819.53832818413343, 820.81487713860429, 822.63267333765691, 824.11600955247889, 824.13869927125495, 824.5722327173072, 826.79881065526808, 827.04060492244344, 828.93189419546343, 829.39170222625876, 830.07780390880362, 830.53899964482264, 831.16566515816385, 831.69007530593569, 832.3991180922693, 832.91739186705729, 833.51711415136947, 833.54860144408053, 833.99290867443324, 834.13196562676148, 835.99300505428823, 836.36955616182877, 836.46484899763163, 837.20920228677721, 837.54663120661337, 839.65139976012586, 840.89933148544469, 842.1436076181792, 843.13165421630788, 843.70884577770573, 843.993147411515, 845.36707227459635, 845.44717363811753, 846.01818278775318, 846.72204639914753, 846.82125746315239, 847.15870145839983, 848.28264054347824, 849.52467512576038, 849.85253802576074, 849.91273756714611, 850.19631921413372, 850.44155431982517, 852.51662980747687, 853.91688258445447, 853.96034400933092, 858.00552169227547, 859.5354110617468, 860.13444254091485, 860.84063525291174, 861.57630497638308, 861.84182248818479, 862.51498004022392, 862.73720446022332, 863.94073929249328, 864.15968088155353, 864.87210055969877, 866.85332119804389, 867.73492388676368, 868.12598471727085, 870.20729690574683, 871.34388764221728, 871.74613401673025, 872.20849113684847, 875.0807856378658, 875.59790697606422, 876.68902008798341, 878.74919582477969, 880.06067857014546, 880.15328022940389, 880.28878707581862, 881.42122073687051, 884.33990603002951, 884.55580290410899, 884.75819804975538, 886.29593977250488, 886.95959199029335, 888.56056427929934, 890.50048462838424, 890.5441366602688, 891.20244616063064, 891.74789212402436, 893.91467072653461, 895.48315001652418, 895.91509773358382, 898.30215174463206, 898.84580734449162, 901.26482456525673, 901.32015509941255, 901.76250108884176, 902.00730791586045, 902.46258208820552, 902.73880888972928, 903.02444764596169, 903.53441601447344, 904.44491355286743, 904.92548688193142, 905.78212614629331, 907.58723133591468, 907.9318690552069, 909.86599433041567, 909.95363567429149, 910.8963897939467, 911.94264427266319, 912.35543001894871, 913.20362702604166, 914.05429247381005, 914.99386692017993, 915.04977289997873, 916.18619233781715, 916.84070166438232, 918.72226533624473, 919.92816818050403, 920.05769835637966, 920.33240029914305, 920.51649806514774, 921.19290683518034, 921.93519048722703, 923.38275506321975, 924.64647055303931, 925.47330333183481, 925.51234106999698, 925.5889378172202, 928.12420909631726, 928.79604377874432, 929.21101404449541, 929.61914288013952, 932.80095875174686, 933.90767934341704, 934.01480149580368, 934.1802111958616, 934.9870424975461, 936.14861035298225, 937.23913752629824, 938.43910552721832, 938.53852418426368, 941.95531881415434, 942.80383428954917, 943.20356498455328, 943.67508394586423, 944.08271222195174, 944.8867356238361, 945.05023362116071, 946.02304721583505, 946.91653956047878, 948.57354619248133, 950.14642690593143, 951.74580607969767, 952.03777108285874, 952.68367704665673, 953.80513683499066, 954.36686200598183, 955.97540708056681, 956.68121087141378, 956.92954445324176, 958.22380036285028, 959.65150494946192, 961.15839802913126, 962.33540383602224, 962.84757893975359, 963.39461595127511, 965.00582977030513, 966.48316107451001, 967.16570333287871, 968.58391664393571, 969.18279272188204, 970.73463888230924, 973.49822868258605, 973.93061039371298, 974.66812576525513, 976.23672453661231, 976.81560965117615, 977.41809862433786, 978.35383259838761, 978.55400226695645, 980.2513955915017, 980.71503457632718, 980.84836259890267, 980.95866566097618, 984.26558393543337, 984.44401718195388, 985.09513855647572, 985.36650423845936, 985.84798904541515, 986.28946325427307, 987.84897142311729, 988.19986524615217, 988.37767930687755, 989.40596184112439, 990.5130954319925, 991.66382774192994, 994.389238387001, 995.577997670782, 997.29977355929464, 998.10962250737384, 998.42036619957207, 998.76139347228707, 1000.3301211008124]),array([82.496970308461471, 82.90989200912145, 82.963886361276977, 83.157904999531127, 83.522649364760483, 84.313276763837507, 85.144844360334702, 86.416796760908028, 87.919309244726605, 88.572387348265991, 89.507982015205911, 90.200076017085564, 91.021615053490834, 91.665613911609626, 94.25400693007299, 97.676878576709143, 98.641833590036995, 99.195258533036892, 99.460279072253584, 100.25401342994596, 100.58730531134354, 101.15030710607995, 104.88423480872646, 105.90754866840669, 108.10598443776492, 111.07936808002434, 111.11419836925381, 111.22648615199296, 111.836862353714, 115.49125179601498, 116.40842620501928, 117.39280362281809, 117.63243417382681, 117.8299590689324, 119.69964986831181, 121.21999794452734, 122.81568434776793, 124.243918656898, 125.94827548569847, 127.03467472950409, 128.1636239700793, 129.36466926987868, 130.11750924654731, 130.25369357832977, 130.39480447998321, 131.14687272701525, 137.80372357418486, 138.8213741982849, 139.64866676371631, 139.70893971578374, 141.17398729173226, 141.23197970936053, 141.84825923467469, 142.16774534010301, 142.81895588859825, 144.97083279287176, 145.2943277246795, 145.98005427271454, 146.05270733950019, 146.18672242366628, 147.51678870891814, 149.22823132805357, 149.69784171312881, 149.7672011018706, 150.20587005747376, 155.77242742886548, 155.93157853414263, 156.8018752157557, 157.19023160032643, 157.33555875885335, 157.4478770328667, 162.20778598664083, 162.47942324223695, 162.92155567025947, 163.59883616448107, 166.93696111466159, 168.0298580915142, 168.44188632077964, 169.17328974538333, 169.45698016597999, 170.31300233321852, 170.5163934295953, 170.60038046530241, 171.4335843673187, 171.90716294459176, 174.10032491973183, 174.67908016719321, 177.11357107353598, 178.84716235592018, 179.55880243113998, 181.58927991660082, 183.00696752711607, 183.85527667893373, 183.97786404589931, 186.03106065952173, 186.73473017952958, 188.27383595606463, 193.18429330791651, 195.02596487000531, 197.67088743275221, 197.79511904330172, 198.35841310273281, 198.50684887560462, 199.65239989491494, 203.05770527945256, 206.66751775975592, 208.53614763974034, 209.02166165355396, 209.0807866389338, 212.80006836875452, 213.96615844210396, 215.43526960637595, 215.52169832386201, 215.66918480397007, 215.6922218611856, 215.71325890104325, 216.49697145422081, 217.43096215804593, 218.50031986824814, 218.79017356754918, 218.84872657622378, 219.63867208283347, 222.06309418511478, 222.41811595121692, 224.35364990543127, 224.53594278120377, 225.95917935606093, 226.02006543945157, 226.39682097655532, 228.36277736941676, 229.23251055298098, 229.3081535655225, 229.66135821126238, 230.45794361979341, 230.70932438970084, 231.33432521834985, 231.58012942642392, 235.15419398885203, 236.25316825258736, 237.0041950628106, 238.8434148977336, 239.48835537611927, 239.97034563262471, 241.06143627778752, 242.47970375134895, 244.98694004468925, 245.25680201958951, 246.04287278678723, 247.7056574568239, 248.01767363718398, 249.4782142665438, 250.89559995995205, 252.6351909829861, 252.94852776243474, 253.40960510035936, 254.36097501711149, 257.31426088479827, 258.18239741687319, 261.02979665641783, 261.61012430114425, 262.82515566856131, 263.2351171122632, 263.89525050442683, 265.51044254478649, 267.84210573657617, 268.65503966513796, 268.76898630252674, 269.35925714480135, 270.14495953195427, 270.28779913670138, 270.46003335329334, 271.70726576793544, 272.19101368590003, 274.36699844321845, 274.75385156460163, 275.01581944189945, 275.3499539251419, 277.07948153731189, 280.76589070307688, 282.43465040917295, 282.75192577586705, 284.13969625820647, 285.46586673480243, 286.32881686091747, 287.03670248067601, 288.02888695419267, 288.28547093665537, 289.76653208669893, 290.9058483129341, 291.57498810020729, 293.11057133252723, 293.2090671922013, 293.94544728783433, 294.15440626562076, 294.53773410934747, 297.56872182849787, 298.09234000264604, 300.03050913851877, 302.05453977309611, 302.84936395507947, 303.0607036154193, 303.45549670628901, 304.97418821058665, 306.17286451569481, 308.21551355644738, 310.25423505218225, 311.26841702882029, 312.35731507568829, 312.58764943646503, 314.32081914835857, 314.68053019296889, 315.21635230952819, 316.15410770948438, 316.17608296151519, 316.26334706402412, 316.55230847518499, 317.75155214625562, 317.98781013905011, 318.93255955477906, 321.39628105120556, 321.54172524423433, 322.51991334387503, 323.11980644434095, 325.86539284333867, 327.93327863420177, 328.8958883783244, 329.67186748974098, 330.32196121871516, 331.43664871698331, 331.73787075356137, 331.81172749009835, 331.8802467330558, 332.11056949086054, 333.9418802280685, 334.87134962761456, 337.15740707508581, 338.81405733012406, 339.20153504340561, 339.48152481618826, 340.51667014704475, 342.55713028118493, 345.9634472008147, 347.74841721728802, 347.78537028306209, 348.98240755799776, 351.64074015290197, 352.98075056350791, 353.92324714930544, 354.24904336125422, 356.05597508450774, 356.31853464436676, 357.77060155699888, 358.28282178664011, 358.40233983962355, 359.66984156968681, 360.89036122464125, 362.20531876101319, 362.56425965367168, 362.67123433472312, 364.48854511741047, 365.60601861643801, 367.33152818729565, 369.31074132334231, 369.38661177560363, 369.76549467861952, 371.72544083199841, 372.92096652690128, 373.00551636143717, 373.9215004693155, 374.65244090119779, 375.18420543449196, 376.71028116280331, 379.68106632956744, 382.07220396463561, 382.52549558249558, 383.09311405501177, 383.74303943911622, 385.97498197615209, 386.18255584422377, 386.23670495583804, 387.68220424635155, 387.9692744972333, 388.55584167961729, 390.27524780193602, 392.00253652598315, 392.02604233400461, 393.18421686027358, 394.10408155730136, 394.37574900602567, 394.53240055547934, 396.29919203152389, 399.4337974028237, 400.6075827274139, 401.45147522505812, 402.23896442111771, 402.55314719146196, 403.3217558381595, 403.35538971286854, 404.06924708705219, 404.87744901710215, 407.93753788359493, 409.24027736283932, 409.73329725620283, 410.81273425256632, 412.83268606901794, 414.00717166571241, 414.71481051073437, 414.91378673656669, 416.37363274840135, 417.22524427655725, 418.38453716279923, 419.14536078388761, 419.33414183699881, 420.92836335764792, 422.22371620778688, 423.40927096456886, 423.5844340843351, 423.76427185818198, 424.35856460194879, 424.70836304148986, 427.13190944302772, 427.68525002114995, 428.44929927334726, 429.11830351584541, 429.84970920790016, 429.9869470880833, 430.85936951115548, 432.17746643094904, 435.32832201059296, 437.08048092372098, 437.26482081261929, 437.70581545281675, 438.7280844016347, 440.86630936296314, 442.88584121789654, 443.77355455842422, 444.02911913444882, 444.09038516887216, 448.18755197085, 449.38553259728502, 451.00955186615545, 452.46092331890799, 452.96626327941641, 455.64616901594911, 455.87128711118777, 456.31561587166692, 457.50714509047032, 457.7109435699079, 458.01670195425112, 458.67910269483178, 465.49530215099543, 466.00286483635591, 466.31683031906437, 466.37500769367529, 467.89296411287069, 468.88308717285747, 469.09250348480373, 469.2890462906999, 469.33503435039586, 469.60959802241206, 471.3862454295176, 472.32227404799784, 473.36203294573124, 477.81298237146166, 480.13611587595949, 481.11508946953728, 481.21652764186922, 482.61398972160606, 484.19916605903751, 486.29838398560514, 487.45844485788047, 487.73237511277375, 488.37844405897266, 488.86253846586652, 489.75786803780966, 490.16862111858654, 490.36496134212473, 490.70294733024087, 491.56937261855654, 491.64207000239452, 492.87590942133261, 493.55562491394886, 493.76475553603802, 494.31231540010344, 495.11574579055502, 496.07998910630505, 496.34067471701661, 498.24943725664286, 499.22089193158519, 500.60676361490931, 501.24708674789235, 501.54528479179771, 502.11519998434221, 503.69307352928678, 504.46772403919033, 504.86076612517917, 504.9326692759808, 508.71632204060404, 508.84346724324206, 508.91055418918626, 510.3984545306152, 515.17178134070093, 515.20244314026138, 515.2551081052552, 515.49927783149576, 516.55029848595939, 516.84634141261301, 519.35245491319938, 519.54923720174975, 520.02065277324391, 521.02802069989343, 521.52104545217219, 522.53024931300445, 522.79792295448703, 523.68887084060657, 524.28441682033861, 524.9013539247793, 525.97506028296641, 526.59610008122445, 527.20696030220677, 527.77960345255156, 529.6064731911049, 529.69585712865342, 530.05682580478174, 530.18028160940571, 530.29817089951064, 530.46143901825189, 530.56791263168839, 531.65455362803891, 532.63005820015292, 533.65701540948339, 535.08311731978699, 537.05562918379758, 537.30408253119435, 537.61839883918822, 538.40385347445067, 539.31171585459595, 541.17530398479607, 544.09842763821041, 544.43114959014042, 544.50701141270099, 544.64279993474133, 545.7565034533751, 547.33917154329038, 549.38129641999524, 549.76498749339828, 549.86771637810239, 550.30358789793274, 552.35044312444188, 553.58815796006672, 554.57159568823704, 555.83324425885553, 556.9147211340553, 557.18386612766756, 559.47968555592684, 561.37039354533022, 562.27183492505446, 562.33570355626284, 565.67881129164482, 565.98006827051847, 566.60568369049327, 567.27689780324931, 567.62521654423756, 570.40319863825357, 570.79582666584645, 570.97489659872838, 573.10623816836835, 573.74896956713417, 574.04304376204766, 574.62321699536813, 574.9533485998752, 574.98533696041704, 575.7675915422227, 579.57473128551635, 579.90594677579566, 580.88418596117094, 580.97018311560828, 581.55578526203192, 582.08979912406028, 582.86145550761614, 583.23794321142907, 586.27331825196916, 587.55273369766815, 588.40756360569685, 589.52211876260264, 590.8212887624818, 591.54007184226828, 592.02541702428539, 592.44964237739669, 592.69638403934266, 594.3274325975608, 595.46924744219098, 599.67041407064255, 600.42955311902119, 601.46984765462662, 602.06111232518094, 605.1756734757214, 605.86741671470475, 606.55657551350771, 608.09490518824384, 609.68162475057409, 610.67570574002684, 611.83395548584724, 611.99518853600034, 614.04256841678068, 614.69728222808806, 614.73501804974273, 615.57715098888161, 615.75669440261561, 617.38124330356936, 617.50259469048922, 618.61634880342149, 619.41514528243749, 620.41737734492062, 620.79181260492965, 621.51423050634617, 622.92487424428589, 625.47510291205731, 628.2507181791359, 628.95363230320243, 630.30703874373341, 631.15748700002291, 632.23984008123375, 634.162234557499, 635.2561637919955, 636.03337295485665, 639.5030041746204, 640.09597661589783, 640.94359889101509, 641.93699671339436, 643.31218653828819, 644.22483725640063, 644.38147118337884, 646.18236292400263, 647.81110701318369, 648.56998208687867, 649.19928279429189, 650.67076959954863, 651.06417212954955, 652.77780008522473, 656.40468192607534, 657.63616974807303, 658.96299106511174, 662.00439646119673, 663.00161759277194, 663.28950269057123, 664.61481950245945, 666.19819466377965, 666.31329286369964, 667.45463917595748, 668.72923374589629, 670.6751289085596, 671.27157895474431, 672.23246587699498, 673.32318317064801, 673.443857950959, 673.6048273973837, 674.21230580237227, 674.62772193200476, 676.8377352972924, 677.25764698318005, 677.54352408929208, 678.75790027229118, 679.39124923102543, 679.51474807213458, 680.20808909122252, 680.52212091516401, 680.91631533182033, 682.00234871277075, 682.20181029642549, 683.30553038307335, 683.35733817765311, 684.03262837583759, 685.10622174806952, 685.38444859403057, 685.43985486993768, 686.06572345440065, 687.2298852660399, 690.23494197705634, 691.35453647360862, 691.90385797291844, 694.17051986256263, 694.47352510082771, 694.61955807400841, 698.02225812280619, 699.63553116277717, 699.91217592120165, 701.26018166182268, 701.91741681888743, 702.35924623596065, 705.03047956611397, 705.58636727382816, 705.75294353993036, 707.0227220170259, 708.81722374497133, 709.65171374525335, 710.77797168761833, 713.60265503381288, 714.84946095839166, 716.70836244895838, 718.82755215267935, 718.9103304034403, 719.6761371104617, 721.84233400607286, 722.00408665167959, 722.05996271703611, 722.12192350457201, 722.88679351116832, 723.24760293494137, 724.17195462186464, 724.71703807932693, 725.41520825739713, 726.22639928141348, 727.52116161794618, 727.79504667162507, 728.01655592773204, 728.53847741454865, 731.39939767902604, 731.684297620998, 732.12452218591261, 732.24317286388055, 732.50392980760148, 734.82520143793749, 735.99014606425237, 736.1628511729416, 736.69075421383786, 736.79433100054462, 738.89952162737916, 739.28423381519349, 743.34482609175632, 743.6125747683277, 744.21717304901108, 745.96241731949726, 746.78010345317296, 746.90385221741872, 747.13597196707076, 747.58063545485516, 750.24030088700704, 751.01929009829416, 751.84366576061529, 752.3203330113331, 755.31652598770938, 756.03778260012598, 756.41380854761837, 756.67275690188865, 758.07534754505514, 758.86059571297289, 760.80833370219534, 761.31462808888693, 761.4340775012339, 762.89118863576527, 763.34164021779077, 763.5006303981969, 765.89272990672953, 765.9856284149073, 766.16870833789233, 766.30841786717895, 766.58890823318666, 767.46506562669128, 770.33158476037045, 770.45365136166299, 770.56891160223915, 771.74000952254983, 771.84342154976491, 771.89546798048491, 771.91958537501125, 773.60416942869608, 774.18555892829625, 774.40258981273234, 775.63899951381313, 780.49667926519226, 782.37280781223842, 784.26797341571978, 784.71566855031267, 784.75327302303253, 785.04066128343459, 786.78733668345546, 786.80977638338481, 788.74218839824027, 788.91533373705693, 790.40473603757584, 791.21719175685735, 792.38084273587856, 793.30640015297104, 793.78898323228577, 794.40444219510016, 794.75331493540511, 795.30972878279886, 795.76270098924488, 795.82906726031626, 796.1030999096796, 797.13403753161401, 797.45554431426103, 798.09743801057959, 798.14789397634422, 799.23546953143182, 799.41967708733398, 799.64223116417008, 800.00469920736839, 800.78960852419948, 801.36426773658513, 801.53907744432888, 801.92493731460388, 802.03170601708428, 802.30849584407338, 802.72418918437427, 805.27991951166086, 805.80555723351085, 806.08006130319325, 806.14775895635296, 806.5322087960559, 806.66654539537069, 806.78974094180865, 807.91552172771242, 807.98379804481306, 808.70618718849653, 808.73175056748141, 810.17571714844303, 810.63628819939368, 811.24780178869321, 812.26148793187883, 813.06323567234097, 813.09603129366428, 816.05978800593232, 817.80045548927967, 820.04440764448896, 821.78949572199758, 822.58535283620438, 823.68116704734132, 824.09294452005304, 824.45658528495153, 825.01251924021176, 825.28637652358032, 828.24206486839978, 828.51005202130648, 829.68607152044092, 829.83244702038814, 830.44916783305439, 830.87797557939814, 831.59715393557701, 831.64415452612525, 834.13832970766168, 834.49730692627656, 834.68305025462405, 834.7393265370373, 834.91934393554141, 836.03245255467107, 836.40336452377323, 838.67407710533598, 839.41574124668045, 841.24160729809296, 841.77552086416677, 841.96975739227901, 844.72372738776403, 845.8375737720952, 847.23618487490501, 847.38141925915261, 847.40888853494266, 850.85796701406491, 850.88650223080413, 853.22816075835431, 855.82280428460797, 856.23401041678062, 856.82283477366718, 857.27116079770326, 857.44735795484939, 858.3414299914283, 858.80721844198479, 858.92257035082253, 859.96416768287725, 864.76718315190885, 864.90392505574255, 865.90191394563965, 869.16532744041933, 871.65253021535568, 871.78106289827997, 873.9635780238815, 874.48139803593415, 875.96779626299974, 876.41604984896253, 876.82067194099432, 877.70251976155407, 878.38311301717511, 880.15100548211296, 880.3330413043808, 882.0442634722333, 884.14154321971228, 884.6718663461379, 885.16384059736049, 887.97439264316756, 888.30515789314006, 888.58512382415086, 888.81349062986283, 890.58143488755888, 891.355703012513, 891.8806832290694, 891.98379097998065, 892.82743940988246, 893.01967233926825, 893.23181028999295, 893.53094204544277, 894.31139744552229, 895.96211945671826, 896.62866893624516, 896.93403335276696, 896.98231034338335, 900.67390380324082, 900.70103723563386, 902.27525598246564, 902.53107585511123, 903.68764954163044, 903.73205461129533, 905.40356422021193, 905.9075265365725, 908.38120258354547, 910.73923923615394, 912.41145410739136, 912.62639643008345, 913.18033483643148, 916.23084006197791, 916.85996993373681, 921.64357335222121, 922.11726258344618, 922.73355570481419, 923.14446752960646, 923.77816267427659, 924.30838980489489, 928.6337402916522, 928.75003491980863, 929.33526433514419, 929.76967824601513, 930.12816840135292, 931.12441047244863, 931.5134711189437, 931.68016219072683, 932.1803132202017, 932.48280606528863, 932.83242115567714, 934.2874791084547, 936.66956406151996, 938.14076101828107, 939.72104108685778, 942.23317881581715, 944.1785920801733, 944.59489123820845, 944.96559616509433, 946.92498913018073, 947.16279471136534, 947.3576818975672, 947.75608990480396, 947.86481596837427, 949.13207362395383, 950.60074359455632, 950.79264051483699, 951.83236432640149, 952.60651153540402, 953.50548104263919, 954.29991410943046, 954.51823048160713, 954.62082638443997, 955.20595161929475, 957.80572504755116, 959.29953679815389, 961.38975751209887, 961.91354146205788, 963.83956225276052, 964.216624365146, 964.58529024210964, 964.73254958706536, 965.98539883666751, 966.9509113835187, 970.91770675073076, 971.85472027173626, 972.0218207320039, 972.22929240805718, 973.42275991727206, 973.66393293235933, 974.34585174777169, 974.58482773043102, 974.95732460386125, 977.23868869591729, 978.91353647650408, 978.97950981413146, 980.18425420095684, 981.41723825869201, 985.9267053343068, 986.79873156751694, 987.26603303642844, 988.26249644609902, 988.35637923883451, 988.4632844650273, 992.44167323465024, 994.71046705710796, 995.74368322717191, 996.44739357027936, 997.20860764465647, 1002.7258150585116]),array([57.573463888294185, 59.359791586235445, 60.191995929511549, 61.946547443699913, 62.808137479833306, 62.928949632524748, 63.95165014023803, 64.232145365415207, 64.493386089480538, 65.305060058876421, 66.174393375980173, 66.962829187083273, 68.977956301921878, 71.209940373250504, 71.261508075892522, 72.736833190213204, 74.202401754418929, 75.45615644218104, 76.984393216703054, 77.567712453300132, 77.875923244407176, 79.348391455452287, 79.93360626805503, 81.360681088820684, 81.838768262761818, 82.586521549449955, 83.124873677521705, 83.679816663163308, 83.911719429917724, 85.361510284533779, 90.335561460447423, 90.657928417353659, 90.69466332526514, 91.017574382963417, 92.003422906612187, 93.353130650363539, 94.160196893900832, 94.425311288720494, 95.444962614775321, 95.903285617291203, 97.39025295124685, 97.853839178898426, 100.26375887441161, 101.1921929813538, 101.55433234540484, 101.83411617207494, 102.44613754461869, 104.50107263377056, 104.57155420773974, 104.69526395500313, 105.38066764264516, 106.41027885411779, 107.3692239456433, 108.25390829697577, 108.63971765740685, 109.13051824643843, 109.15405653248956, 110.93966329623117, 111.00344871401373, 112.86812141996782, 113.055975317448, 113.74037731489504, 114.2998516371474, 115.81562152474663, 116.56818122004933, 117.15579474795216, 118.00773311464063, 118.64708938338637, 120.30792924958804, 120.686069677707, 121.26695807482407, 122.30593488155223, 125.12535595404178, 126.40911328399378, 126.5414873092772, 129.1976768182933, 130.14677053704523, 131.65276065931428, 132.0018643487804, 132.85250520995311, 133.38095940235706, 137.0144736562992, 137.63784843377437, 138.91680559469467, 139.10304244734525, 141.92764104919087, 142.73105297203441, 143.91241145367366, 145.62494862849385, 148.23824439620006, 149.93249346896826, 150.47082413734012, 150.66706151989121, 153.8857946225661, 156.52337377711549, 156.88619158512415, 158.60009882541661, 160.81071987532755, 162.22753003738475, 162.48280134907336, 163.7758893128329, 164.27852463901723, 164.74709763478251, 167.05695319933207, 167.20896569210288, 167.68751924474401, 168.32716826173029, 168.57403422369666, 171.56716945025505, 172.55571516362178, 172.94555802814315, 174.29852752549931, 174.34151586899702, 174.5628587183356, 175.40825049118163, 175.71896500873865, 176.5970530951632, 178.4178794546651, 178.90298168834255, 179.33345519465848, 180.19503014655189, 180.59793032811871, 180.96696233037207, 182.48596017802313, 183.86805468689357, 184.53239201139138, 184.66181926069854, 184.79700518186189, 185.46443991575717, 188.27005884620519, 189.14968921515131, 189.46296082507018, 189.67025853220639, 190.33861777038305, 191.16141813808747, 194.96054075726192, 195.3426721056567, 196.81254476060636, 196.90684473642389, 197.14622481053462, 197.28270116829066, 198.98706572015215, 199.61139619983805, 200.42034166347543, 201.22727812622696, 201.46128266319224, 201.64665946513071, 203.20002637547194, 203.43097691422165, 203.47104469760905, 206.22069259398495, 208.20292696973098, 209.08328678964895, 210.05166432353502, 212.14502555406028, 212.28538780463199, 214.40954486079701, 215.9333706736009, 218.28724249730888, 218.81102815606124, 219.65272721415189, 221.27151329534718, 222.29215737995992, 223.63387478427487, 224.03383328318813, 224.63371930663479, 225.73637203875543, 226.09848510865842, 227.6305672081871, 228.28819465419858, 229.60997396369385, 231.29791565051718, 231.55578521219434, 232.18214926146484, 233.37262533759403, 236.74229305166003, 237.60290951285498, 239.56533631075371, 241.8610751464372, 241.97177202282617, 242.44923686659476, 249.15569848940274, 249.82293393602302, 252.66423610711558, 254.66705962265402, 255.81364996520364, 255.8830736209635, 256.86589745605323, 257.54594757973365, 257.70966489977371, 258.89438969777842, 258.94237316533213, 259.68824079012501, 260.12271658014055, 260.6492697409704, 261.65063367576573, 263.52585794688588, 264.03066133714736, 264.89289267419622, 266.13793968379628, 266.4612778703106, 267.16266997582318, 269.62021207586406, 269.8988899658724, 270.1250565891246, 271.36256609621097, 271.61212024758572, 274.65452514502385, 275.08798881162954, 276.32511100222786, 276.89748865479697, 278.23647815561401, 282.54947058124867, 282.9969912058134, 283.66220251187974, 286.13569069627988, 286.51902230390749, 286.88697654098252, 287.14429375367769, 287.8823381599139, 287.93235296996784, 288.72489884311796, 289.19178842712466, 290.20757612556127, 292.81778542180666, 292.9893743410617, 293.38846931141455, 293.6860304200203, 294.22455552444706, 294.34609771244584, 294.80645427651814, 294.84511206400413, 295.51685773945457, 297.10094900239858, 297.54644322610289, 297.92406668989383, 298.77929960349269, 299.33366439621165, 299.50179251484178, 302.80644851392151, 303.45911471635037, 303.92779095539572, 305.76512071181224, 305.90660999564943, 309.4934620182205, 309.92407537599979, 310.0193602454666, 311.16954441682475, 313.19952919963941, 313.2485362466399, 316.28184634010222, 316.77595950816021, 318.65702644400625, 318.70524983032522, 318.88580380674523, 319.6771139125986, 319.92791271884306, 319.95064266063656, 320.63594118073632, 321.54046879697648, 322.35550832558016, 322.76942814785122, 323.05348492511905, 323.23492880733875, 323.83944992834881, 325.81707673579916, 326.34962385873291, 326.38541942035198, 326.81009838462819, 327.41972762523153, 328.19689606645267, 330.47896970497277, 330.71617631356895, 331.01215868320691, 331.57254917494902, 333.22494806434275, 334.86168751658352, 334.99111038037461, 337.13048328112711, 337.50958279162097, 337.77317502395573, 338.05044746190794, 338.28778746396387, 341.46633089291254, 343.23754272081902, 344.22181466052058, 344.78219156561164, 345.86171254533542, 347.53405517623577, 349.63340244026642, 349.79139092280371, 350.42562178951744, 350.45851508912881, 350.62431836159004, 352.40017225410412, 353.40962460349675, 354.65020208900006, 354.88024414619093, 357.06401905291989, 357.94841399899013, 359.60600272101664, 360.56135822887779, 361.16636552689653, 362.64247737782568, 363.91760877249573, 364.57720494745223, 365.42810137947703, 366.31771980595158, 367.90766406792528, 367.9618946538763, 368.20898810856818, 368.22965972874528, 368.86158110034501, 368.93814800152228, 370.68557371714513, 371.1496445199453, 373.2311910068907, 374.34864623597724, 374.9938373727926, 376.40567144449881, 379.60063149637853, 379.87726838342672, 384.00712211172964, 386.67992921971893, 390.27611688431796, 390.74724335991505, 391.9433439271092, 393.12225281354455, 399.89991774502147, 400.4459695811413, 400.90556962661776, 401.23141441058925, 402.25482367172134, 402.44598956519303, 405.29927518661356, 406.05196435248109, 408.21503800996436, 408.37129343597479, 410.02954262230475, 410.68984245391482, 411.01612138740137, 411.88119680955549, 414.71488791035523, 418.42262811889003, 418.8227080864495, 419.28001123672647, 420.76854352840581, 420.99005209167024, 421.69267960908473, 422.87660278788303, 424.01731966393959, 424.99037300116998, 425.75871484090197, 425.82709155303962, 426.74324167729088, 427.16796637701947, 428.42179921094015, 428.60437182727583, 429.28018386231003, 429.73449702790555, 431.35288741945186, 431.83841555991648, 431.93986111405087, 432.77569777674256, 432.95924313247053, 433.04953396898765, 437.48917511110136, 437.74539577071403, 437.7692591715757, 438.64525887584944, 439.31818537583399, 440.47637235808872, 445.34914253362928, 445.42940289857489, 450.38761408090926, 450.58934775607327, 451.05629278462169, 451.80869151647005, 452.69276246886568, 453.91221710055072, 454.76523328613905, 455.92024100616737, 457.0833438155766, 457.36902607651541, 459.23913183947559, 459.91051051616648, 461.85391164223375, 463.22227016695251, 463.28233841436173, 464.36124700888763, 466.00261927795628, 467.07249203439949, 467.54129354266058, 470.4153041056166, 472.7032722489709, 473.31797604904528, 474.1536460006003, 474.37501975205339, 474.78158716995114, 475.6907791601958, 477.18914077698139, 480.57557338029852, 481.54444299878668, 482.03834229591621, 482.72715287161532, 482.76336598954509, 483.23389404405276, 485.72887233987973, 486.02282343761709, 489.27224372359547, 489.54386312669624, 490.32934545862884, 491.09367254114335, 491.47037118032313, 492.63114511410799, 493.59117770942788, 493.63347311716137, 493.9440887216071, 494.29492751794174, 494.66931591428005, 494.96853769740875, 495.025103398824, 495.4635603497166, 497.33231489663683, 497.51320987187927, 498.43019577330813, 498.51228330816804, 499.14398197823039, 499.73961253636952, 500.14850156619667, 500.76067286146281, 501.03587823767373, 501.65803663986446, 502.10566044850799, 502.19930437945538, 502.54004574147302, 503.22195123375838, 504.92655409900675, 507.93623772330932, 508.03889315177264, 508.70023295575953, 509.09402471226178, 509.3001148694114, 509.83812564173917, 512.34146770094344, 512.85570882084392, 513.76568809647222, 514.10746913716252, 514.16363288313062, 515.01761177058188, 515.70919869213787, 516.26107044944501, 519.57645968351756, 521.60892003512311, 522.55286948378227, 524.52906951190107, 524.74084920911116, 525.63107007824351, 526.32814460337579, 527.6359378684806, 528.52768734424171, 532.46232241152131, 535.80257573907681, 536.00616063684799, 537.02269619707261, 537.20960190075402, 538.32376658723081, 539.64548083253317, 541.01695178404862, 542.2216931236253, 545.12706739271175, 545.50695068573464, 548.57396599494791, 549.49727776388397, 551.23796187335665, 553.07484781519952, 555.29093929049247, 555.58471944596295, 556.85249609392054, 559.46898534687637, 561.26406655545577, 561.49142436943919, 561.61490418749042, 562.83819870039736, 563.47305561047369, 563.78515100977916, 565.48729682529427, 565.81276935398, 566.0415318145831, 568.2333457825921, 569.02956663882514, 569.80607553452387, 570.0396205843158, 571.0464787752453, 571.56950666156888, 573.21826879282526, 574.02343155204437, 574.16780161052816, 574.21040895635235, 576.75822050296745, 577.87741853963882, 579.76944458987339, 580.53749583259571, 580.92289019203986, 581.18638156224938, 583.89393390440284, 585.10163162171648, 587.46135101231596, 588.0985495106637, 589.10997261297939, 590.652573380597, 591.58473224780016, 592.44435282920733, 592.54653857624896, 593.77679658471448, 594.89215826189081, 595.79981682662594, 596.02738907738978, 596.25634323901022, 597.03905801894916, 597.08510802063995, 597.96855731930827, 599.33383439914383, 599.36809504916198, 600.69270152515628, 602.19760087910606, 602.46495644713752, 606.07529140566191, 607.40245979933525, 607.50448334329019, 607.53370516977168, 608.69453152695655, 609.41368549364825, 610.7088352024399, 611.03599050014554, 614.17975507672975, 615.03448232736946, 616.27431667997621, 617.11445567805106, 617.93083130577872, 618.1181976476114, 618.69551226673764, 618.93491731233678, 619.97938986393876, 623.28078213381912, 624.48194422940117, 624.73471846937343, 625.339425384273, 625.8430393593045, 625.98958217641916, 626.63386111336604, 627.07638911308345, 627.12607075032338, 628.07188446248779, 628.98640604136597, 629.82227581334746, 630.59984098259963, 631.7769915075171, 631.95325154152692, 638.38683231007928, 638.73624462293628, 639.04000272991993, 639.64309108947361, 643.36943677535578, 644.49115475931296, 645.26406029222039, 645.769974474739, 648.35824925473617, 649.98247199806019, 650.36317889346901, 650.46202581679734, 650.84470414494206, 651.104831692282, 651.54962745119576, 653.13049520005359, 654.29564512469005, 654.39636188147131, 657.56574981956544, 658.46111022948833, 659.5449644220015, 660.18355536282297, 660.93918523573677, 661.70147737607192, 663.61599366891039, 664.17281536926532, 664.24253946852946, 665.43256902556834, 665.59855593610143, 666.23034928609036, 666.51752365338848, 667.28901870775212, 667.86098512436047, 668.00993910724344, 668.15216745259397, 668.25524871937932, 670.50696610255409, 671.70347781610599, 672.9546898675336, 676.35338193977282, 677.29283213742542, 677.63480023751265, 679.35976259160952, 680.875766632362, 681.52421201499169, 681.64093506463507, 682.84374437251074, 683.36275344585124, 683.5416269292939, 683.87163749662102, 684.93787525472169, 685.46957849354931, 686.06518836515966, 687.0119666349035, 687.61063181683858, 688.46933938660709, 689.1876354420624, 690.93854091418507, 691.18610784185762, 691.91117442828147, 693.34731207155721, 694.51036033671835, 694.58935506835041, 695.92553083969426, 697.03557362419247, 697.29288167509719, 700.10115761472957, 701.17800240335816, 702.12878057888042, 703.26640552292417, 704.11596733570582, 705.67723944763645, 707.34376159421242, 707.85473994375593, 708.78481078112418, 709.96605149270806, 710.58610460962029, 711.1984847813028, 711.65289924072817, 714.08358725126857, 715.54317408783982, 715.64000800316694, 716.01833845211513, 717.89311896368133, 718.04364287125497, 718.19316620907034, 720.07677716643104, 722.05382351311493, 723.48512188270081, 725.12326339507854, 726.1582812778413, 727.28405591662613, 727.83752608415386, 728.67757386402798, 729.0185020610179, 729.05322719213825, 731.23817422612012, 732.99396377578819, 737.27625553720293, 740.06989159073282, 740.56770355148979, 742.26688291265134, 744.20156435906051, 744.80201473247234, 744.90775437701552, 745.00085683592795, 746.49880679285354, 746.80433677047756, 746.88584489958066, 748.24252879691801, 748.60108868688269, 749.00394379634724, 749.85490512916476, 751.43473589050552, 751.62042376083036, 751.67502053951989, 752.14412185459628, 752.73065944236566, 753.16705572795615, 753.9507891360912, 754.67036094999469, 754.80187212472549, 754.8663410450132, 755.60449215129279, 757.31769244457951, 757.46810035066062, 758.0158818024189, 758.38362474013843, 760.58357618568766, 761.78443581862791, 762.80719583082191, 764.18871808633992, 764.76644253052586, 765.33132168775705, 765.90665142763919, 767.70540195911826, 767.81895818933356, 769.5477821088183, 769.68406428359367, 770.02510775338158, 770.09330853277675, 770.53880882808119, 772.18832572732776, 773.01720633586785, 776.61157300422383, 777.14335257747393, 777.71627132457854, 778.09231909256107, 779.41099981342018, 780.29115789319906, 780.90591725274942, 783.97758708149672, 786.40205855013812, 787.04767947938944, 787.83260029904216, 790.55894417069919, 791.47842536892756, 792.24502053755282, 792.42744294096531, 794.90426149297139, 796.78799585666991, 796.98809622659144, 798.5327137146146, 799.37722804460282, 799.69408673958594, 799.92886322791412, 800.23893033857178, 801.18414339613003, 801.63988374868666, 802.92142598181749, 803.06851833112137, 803.30223163240009, 803.65579482074463, 803.83762184528177, 805.7908201420762, 806.26066950955396, 806.80597136520907, 806.96162612040928, 807.29323719046079, 807.63882622557753, 808.21554331223069, 808.77945251711765, 809.17179604097623, 810.28487309158322, 811.78080101504349, 812.45150086049773, 812.82292570271943, 813.06036804486325, 813.22436446693007, 813.52735115503901, 813.84763460881618, 814.46013597811157, 814.90695855974775, 816.01457526361287, 816.50272820090424, 816.64548938916562, 822.65814720798471, 822.97739868903125, 823.52939073161508, 825.30965571141553, 825.83067744080586, 826.24341369784747, 828.13981145610876, 828.83655352428877, 829.8345556691603, 830.2293661592438, 830.68081957703407, 830.99575101856578, 831.5942593677604, 832.00248315023509, 833.09040317288793, 834.67552925545169, 835.57464594536668, 835.71663501156922, 837.08722037429982, 838.84204993176866, 840.93701554395511, 841.50377181482736, 842.73295248127931, 844.44303544999866, 848.41143710537756, 850.13852392508863, 850.79239082953973, 852.5526873884985, 853.98015791743921, 854.58241709662343, 855.1147958228745, 856.08761983641853, 856.73864764715393, 857.25294859475162, 857.70059493177257, 858.74306177729738, 858.84759640194568, 860.16971778137963, 861.87008437245208, 861.92997768343002, 862.08489388218698, 862.81021229867235, 863.13516464665213, 863.30671480063552, 864.94289813670639, 868.2937352197265, 869.56054539530589, 872.99761207188999, 873.88640552496702, 875.15038657104401, 875.95130460116184, 876.90159257012795, 877.81418754554068, 879.54302264287446, 881.25242139650845, 881.69970152540691, 882.46399803133352, 888.20366906480342, 888.58158172406002, 893.18643289291299, 895.71130490950918, 896.63004761601826, 900.12227748065857, 900.17392580410456, 900.19679731920507, 900.30363495868244, 903.38070928573813, 905.00118272694647, 906.40887354613051, 906.55247635538171, 907.07362656621126, 909.14636560705787, 910.74213240139306, 911.13852025690653, 912.35436527431045, 913.23498955966397, 914.44092317832474, 915.9544369801124, 916.62973312155884, 917.10270689933077, 919.43519394915995, 919.68526432153817, 920.5401882538207, 920.85920244612589, 922.18006115299534, 922.72321960808199, 924.05690920680809, 924.30730943881213, 924.90058929598615, 925.37545868388713, 925.48666334722577, 928.34646501255247, 929.17539264300535, 929.32988017537184, 930.49284973438773, 931.48929267978178, 932.19831315783108, 933.06014478040765, 933.68248040069307, 934.51467341172861, 936.47472256432013, 936.55771708513657, 937.69293166239061, 938.99254030429643, 939.53938088618952, 940.26067589739159, 941.06241739841653, 941.14096845676363, 941.27054002169052, 942.08278201672988, 943.61170613838635, 946.3260608482824, 946.52426978342032, 947.57818115057546, 947.67241081724762, 948.6480572402271, 948.79968015468137, 950.28379197505672, 951.17218980459188, 952.12098737820759, 953.8763374063908, 954.25605348416047, 954.6491186816454, 955.52862506604811, 955.85446287051275, 955.96118827158034, 958.46591310557812, 962.28362106318548, 962.43909051842775, 963.25183096939156, 964.00469461632758, 964.30870861468986, 964.73078988552743, 965.01859122040105, 965.31261508188402, 965.44478582693569, 966.3860454419364, 969.18898846014531, 969.95159668345411, 972.05034356058638, 972.86229864273128, 975.4239610726919, 975.99664827143522, 976.31323817334169, 977.65311312129109, 977.85213801224961, 978.77064814079642, 979.80473448937209, 979.90991569022651, 981.16327973549483, 981.57445184905123, 981.62507989568758, 981.79957679716676, 981.84637474245233, 982.60534893406759, 982.95345005797355, 984.93245627610906, 985.40701065191593, 986.31610542461112, 986.33755124449056, 986.7988952817077, 986.9893585214453, 987.25372915355808, 987.2780382519428, 987.80401018777343, 989.55188101901592, 989.9276110510001, 990.14964258852092, 992.77129739464601, 993.70408149428374, 996.64282335330802, 997.29675106239358, 997.87284796229028, 998.16712676408781, 998.46495997309171, 998.71354612800087, 1000.1042211124424]),array([54.379069499808793, 56.527455702995027, 57.158060032057236, 58.216891741809889, 58.478150825085066, 58.790029384316682, 58.997111718627899, 60.679305999934428, 61.446467634525163, 62.050184229191686, 63.667401335402921, 64.003242898374083, 64.40989031014891, 64.997470963971779, 65.397704029582627, 65.451090816512121, 65.770113812118012, 65.869436048503701, 65.974243658944502, 68.662044101245797, 69.262660686496005, 70.412288484868327, 71.89714119202921, 71.939806871393657, 72.048042635604801, 74.359945559362046, 76.101120357825621, 76.756286074614266, 77.052123950030833, 78.603880410888479, 78.670262738676996, 80.307228839379206, 80.716507753972081, 80.897557362744919, 81.888451862375646, 83.132345996810798, 84.692296296991998, 86.77908851278616, 87.688774330041184, 88.199415299077074, 88.261147311499457, 89.390823203686381, 90.892662531417074, 94.249069480805304, 94.389302913252237, 94.530036384134362, 96.014926078056291, 96.350052660807179, 97.825790578610508, 98.338935114099598, 99.216035589548071, 99.849652775711519, 101.64163805353952, 103.01406121716491, 104.9617464072311, 105.49876109434642, 108.06915918933022, 108.10394954212209, 108.13812939422313, 108.65934282234076, 110.7505182305036, 113.96861123755666, 114.69439962292894, 114.78959252572906, 114.83258117069774, 115.54111260393451, 117.31508131643854, 118.4518881602081, 119.85971979106714, 120.66191953373868, 122.14850295177305, 124.32455071239471, 128.09775337100442, 128.17076895851986, 129.16775373110821, 130.92159158321172, 131.738819312022, 132.9593335672092, 133.22524095620832, 135.02000492377132, 136.55491614799809, 137.16814754636542, 137.34254758413789, 139.14345057592689, 139.43106248481621, 139.87150603897152, 140.79725349208832, 141.89821927534075, 142.77317718580039, 144.03369939920154, 144.26101423119513, 146.61401433528172, 148.78520488015513, 150.27735944752189, 150.36264368452078, 150.57330206714394, 150.97816997007718, 152.67910132141998, 154.27059550131031, 156.04812736605919, 156.99430704215936, 157.15748180238447, 157.59001739113683, 158.69944022027917, 158.92016295923622, 161.15645629112126, 162.13760374054684, 162.19379347367618, 165.54691829637767, 167.18102504207752, 169.17592996795668, 171.19594461531622, 171.95457820787385, 171.99026606899272, 172.20722976811282, 172.35086500235295, 173.09308584495881, 173.61415850552351, 174.06916148409263, 174.95652591415271, 175.76340777670589, 176.61685047959244, 178.33912709111388, 179.01508520548902, 181.14142300357682, 181.17661300984653, 181.45497686067029, 182.16161226568374, 182.65677514172097, 182.67852707821737, 184.07543099579277, 185.75488670322352, 185.87074013873286, 185.99724549879258, 188.49745533014266, 188.88450743737533, 190.15769428323784, 191.63716523103133, 192.59698607396118, 193.74602722928648, 194.04677002024113, 195.64634899833078, 195.71395955675544, 196.13937397909066, 197.06094749418148, 199.33473008033846, 199.40249395708159, 199.45964642495247, 199.91391331669701, 200.2513895383797, 201.91065125356397, 202.11955863158934, 202.30441857746791, 202.37286878504923, 202.95234024573625, 203.00348078131094, 204.05604048491529, 204.45862378511953, 205.02699446412268, 205.08971194747511, 210.9506201079522, 212.5493444117775, 215.61911627559408, 216.1458631147635, 217.33535088598035, 217.74205408373211, 218.10176954335193, 218.50247996286302, 218.95625175372663, 219.63663627289156, 220.19413685193803, 220.55438965567163, 225.01454928868213, 225.62947874155924, 225.95286273094663, 226.29091826133717, 226.9000472715704, 226.93529316346221, 228.08229927604759, 228.21064295654989, 229.66938022329774, 231.02493774671186, 231.27961712692135, 231.90147730476863, 232.68604356101551, 233.07035371902325, 233.46382150004732, 238.71459507438959, 239.5500324034474, 243.23803347839211, 244.01757894791785, 244.211392584641, 245.8663412795552, 246.09911436608385, 248.01411083975981, 248.95619793835527, 249.2092989292224, 249.51827189633661, 250.92480647391218, 251.40295271856868, 251.47531501393777, 253.71133136305119, 254.10511796923913, 254.27513850582824, 254.40350013566265, 256.40243224870824, 259.13299777064003, 266.77332952232928, 267.27018795084183, 267.352684628514, 268.1925182084355, 269.23808774122188, 269.87895233334177, 270.00299839654701, 270.20953064872975, 270.65471387915755, 271.12613815810943, 274.65032839146892, 274.89709219861612, 276.87071358228951, 278.5642021087495, 278.58705845309436, 278.79358765513132, 279.17620736113787, 279.22280244351072, 279.41298365211668, 280.10563681010274, 280.43001027768952, 280.94341442287862, 280.96662748820393, 282.50118441734514, 283.37857605497959, 283.89206600873581, 284.04912237465203, 284.68691098384238, 285.56683134571529, 286.30687242877735, 287.06931837343393, 287.20699793102443, 288.7695370899346, 289.18502130144265, 290.70868713720955, 290.75204827740703, 291.50457248652805, 292.42872764302473, 292.46293903323834, 294.12131652071207, 294.70570556520369, 296.40232516307651, 296.49711114006141, 297.61403156211674, 300.26951014618061, 301.1494632267088, 302.17532001864328, 302.95984336768612, 304.2359807460042, 304.38577168763351, 304.89310008594617, 305.34795254036197, 305.4807928366277, 306.30324608244541, 307.16915323542827, 307.98834963096402, 309.59019001105918, 310.29090874932007, 310.47305569136068, 311.11054026318976, 311.90911011904814, 312.26727712617952, 312.99132895203047, 316.02107774172907, 317.27428511706017, 318.33560017974446, 318.40610840252145, 319.40462760211602, 319.51626283593043, 321.53113125671143, 321.6640194202144, 322.83550371288527, 324.78411005427449, 325.3139650553116, 328.13552445224076, 329.06936674612393, 330.04941214685999, 330.44807221626201, 330.75277983896376, 331.15347850799964, 331.43185737195341, 333.45349629217321, 333.85142632876392, 337.8810182793186, 338.84524682689215, 339.90668887869822, 340.02333178767617, 340.13841918863329, 340.66435091331863, 342.95356359847608, 346.44237312994619, 346.86284544809513, 347.25767249072902, 350.26380900631631, 353.17222422023343, 353.78796931549203, 354.67447567120286, 356.03427597642565, 356.12299508730302, 356.79249766193624, 358.09796745666227, 358.80185811581941, 362.73412299557936, 363.32687322175934, 364.0589415812982, 364.65075906744357, 367.71281919103939, 369.11766673817402, 370.4504676271784, 375.69893474834981, 376.31888193969718, 377.33268406468943, 379.5941189793262, 380.66027029063116, 381.82707631941793, 382.24791132527201, 383.87023934831103, 384.48479302665515, 384.59811942010117, 385.37635931284609, 385.85956494271943, 386.81855898448089, 386.91199132495007, 387.67491421094007, 388.89624382095076, 389.41273209864005, 392.9402711260982, 393.07511254837016, 393.60598846410898, 394.74516199295618, 395.80756092131531, 396.4210563441361, 399.39260375194573, 400.44013461436913, 400.85323220231862, 402.04862479355614, 402.78444220337155, 403.02205052020713, 405.00859297683985, 405.4169603027558, 406.37609317947164, 407.20943592171585, 408.13514480106323, 409.54769173545026, 411.25408340596834, 411.47846946419378, 412.45361372132999, 414.02134794604717, 415.11791490186346, 415.24853223957103, 416.54598825783341, 416.92796935708134, 417.11453079049761, 417.8653005554026, 418.20741064561582, 418.7008702563682, 420.22675383837571, 421.87496320324186, 422.51311031677625, 422.90272804339349, 423.10568338670839, 424.18282764610672, 425.38014087512471, 425.96749500835301, 426.39060452439787, 428.3150139623919, 429.15588399253517, 430.20336760677793, 432.6403365983914, 433.0517423449715, 433.27925107039272, 433.83586881497456, 434.5004157598712, 435.84674746871997, 438.37746245953429, 439.11173949056843, 439.39586277359803, 439.48265940230834, 440.0733337738024, 441.22988967364222, 441.89729930751258, 442.29346746327559, 442.98884132640916, 443.32892915017959, 444.66378954214571, 445.63740633902813, 446.12631826220212, 446.88191282563844, 447.95928082707405, 448.7425281699538, 448.94935025386991, 451.58501147847181, 451.73400530540022, 452.33177786770534, 453.21742410110954, 453.58382221488591, 454.55711687356148, 455.48909982890177, 456.23562238040205, 457.03608881261891, 458.85527245965045, 459.06975451282062, 459.36144816560432, 465.54875218090888, 466.51017185667001, 468.34731234701064, 472.28024855606628, 472.40715812919734, 475.22615351423514, 476.35512418807508, 484.25069798217726, 485.53963932442002, 490.97532806203185, 491.40561881113086, 493.77482513930931, 498.17103834119069, 498.38307533571816, 499.32105942376865, 499.65087924302736, 499.97260185603744, 500.1532077952013, 500.29325751578716, 500.47713928720958, 501.17587435705093, 501.65488924736422, 502.22792292230639, 502.60025854798829, 504.94780939043193, 505.22933366345751, 505.41878373841655, 505.75423266344609, 505.79783498891334, 510.87450968785868, 511.23002588056926, 513.77778379860251, 514.39786145583503, 514.53229271364, 516.57235377772042, 518.93653206710144, 521.35135643584829, 522.1000179258948, 523.87415788410544, 524.16706631969919, 526.4219765099607, 527.2057438815765, 528.34615655417952, 531.23271009271957, 532.3463288365142, 532.70642766653884, 533.55920851689962, 534.32810639961428, 534.75895861405286, 535.30552289412014, 536.54350834358422, 536.74471082904063, 536.84631495839426, 537.47457671058157, 537.61985961833557, 539.17044811659855, 541.38199838170976, 543.51943981271279, 544.94752694020008, 545.77701867753115, 548.77382725292875, 549.72226328458964, 551.66642732435184, 552.50188244777848, 553.18610239736631, 554.39429793558554, 556.14163141708821, 557.04032841231151, 557.93231506924735, 559.85465327257577, 560.37028894376385, 561.33579524731965, 561.36495623300368, 562.11607697622776, 563.34510437472557, 564.89771138258322, 565.75658350886283, 566.27856572596068, 566.97095560744697, 568.01791305479196, 569.517135105379, 573.12429496046434, 575.04817729352953, 575.78045892668354, 577.00824995065307, 577.11898385263771, 577.42134519071544, 578.06507869320137, 578.44867104150308, 578.57533124677218, 579.11830101309533, 580.83800844125494, 581.28967245938418, 581.94773535117895, 582.93447656146407, 583.14420935951455, 583.18700532002208, 583.28724771213149, 585.96642967408138, 587.55285132563154, 589.11514553596101, 589.38282676572419, 589.72157721328892, 589.74571184505271, 589.83531728308469, 590.4978873100066, 591.30250151226824, 591.73729808470443, 593.31289937550844, 594.15441097193639, 595.50915507917284, 597.36791295192722, 598.7326391265301, 599.54176052550258, 600.08883264078725, 602.59083111987047, 602.96850409049773, 603.37662421827213, 603.91305551632354, 604.39927205332594, 606.03518378887941, 608.95885749384922, 611.31052044294552, 612.13316087056785, 614.31823904385055, 615.58822707660704, 616.37551672896211, 619.30213494257418, 619.36471030129223, 619.95886456009782, 620.92043266537405, 621.78468932332157, 622.99469453132383, 623.26827639902956, 624.0119093916602, 624.46553864380166, 625.27074559408788, 625.38789102228657, 625.52816892325097, 626.65341081235704, 627.97158265913708, 628.57731848934088, 628.74333432000606, 629.21918286638959, 632.01119396286208, 632.43075499691213, 633.85448877880299, 634.05787165558434, 634.34757960351305, 635.27774621173478, 635.50545096876124, 635.80323916438294, 635.90759953338534, 636.32328603346389, 636.45975243292867, 636.69647511912081, 639.07332012034249, 640.5294373644474, 640.76316646266366, 640.98031784014211, 642.49332720706605, 646.7305512859956, 647.25682925071612, 647.38630748960304, 649.76794263967508, 649.89497913191826, 651.25868604930508, 652.29037533699545, 653.15284527386234, 655.32250993902812, 655.72024873719056, 656.10350139203217, 658.32652466700767, 659.84538870915856, 659.89784969854827, 660.59746762291763, 660.8398509060778, 661.50194908934475, 662.19712327324123, 662.44181943020078, 662.68725032816951, 663.72139332970585, 664.4257453470068, 665.60909766745021, 665.79860198165875, 667.09769665804322, 667.43466125682801, 669.51656861218044, 670.60928793592177, 670.81332185562758, 670.97806851038388, 671.97136952626613, 672.32503916797612, 673.41165110523957, 674.12177062376327, 674.27675738291725, 675.18168290076733, 675.88005025891027, 676.35897695037374, 676.82398621619029, 677.00596575683574, 677.89220597126575, 679.16265623602771, 679.48151398887296, 680.01081555309872, 680.27738100517206, 680.98277974342261, 681.15799899664228, 682.40828833473336, 682.92688035749006, 683.6123002105229, 685.08177480016764, 685.95969324111877, 685.98354022093622, 687.78925809312068, 688.44246818963677, 689.52712082556411, 690.64589744930095, 693.24544535824919, 693.82497280957705, 694.73125757197568, 694.80794142853392, 697.41302273596739, 697.76176334644708, 699.05780734793268, 699.69322423586254, 700.97498929439439, 701.01760901669081, 703.58486705269922, 703.68000897812658, 705.15348581760009, 705.49422175214772, 708.99838637523044, 709.68445379865966, 710.11298174110209, 712.7560164282396, 713.26286935294809, 713.91463611975473, 714.16123466069496, 716.60914826103499, 717.57000768329806, 717.77505265991556, 719.94571977857242, 721.11999861672189, 721.30301716101258, 723.07105320288326, 727.1787491791622, 727.60868272647497, 727.64299407876126, 727.77183826157636, 731.11954754338046, 731.26698294778669, 732.05245783727298, 732.69572948176472, 732.92275212598463, 734.69865541191996, 735.09071212456081, 735.12801503911646, 736.51725854073572, 738.94721424920112, 740.65255806337962, 741.21482518643938, 741.38326689324936, 743.41543584866577, 743.88610071712253, 746.94893620650464, 747.00034908025123, 748.46829306482061, 750.9466503519684, 750.96904560248879, 751.11124032712712, 752.32292115649079, 753.42786448470758, 756.18470051144482, 759.25357739498475, 761.74819928989245, 763.36269869715682, 763.6341342753409, 764.11435450604938, 764.39597709425607, 765.3713602153872, 766.56599105310329, 769.91805972827751, 770.17283056312851, 770.25636979083754, 770.42582145335336, 770.79407883823069, 773.70884857936119, 774.26430492171642, 774.76741661622816, 775.49271634048478, 775.93599550466899, 776.72081949748735, 778.42226927786885, 780.68770046231714, 781.45895696581147, 783.43441088965903, 784.29919062773456, 784.40376613572312, 788.33084746272471, 788.76059239007998, 789.75915788823522, 790.62973391385913, 790.90081001740111, 791.62038567542288, 796.24502709140404, 796.29975197250553, 796.42816156534229, 797.34243588552283, 799.8157152043251, 800.14555658604934, 800.1917079118507, 801.03789296610933, 801.27917748656466, 801.69673501295324, 801.87011599095604, 801.98068808910477, 802.01769787671822, 802.19910460175515, 802.69255186266491, 805.76834998362426, 806.08589690629799, 806.5274333701542, 809.5214760542691, 810.0559144165328, 810.08489978034333, 811.73219792644579, 812.40771701529638, 815.24443728299525, 815.85610017696536, 815.91815868236097, 816.97525262022918, 817.07419509284716, 817.27223921844791, 817.62437899504857, 821.29492293680312, 821.37193138871214, 822.43625972718166, 823.30135982028901, 823.43985993494312, 823.51767553848686, 824.27384937330453, 824.53299669667263, 825.44482535539873, 826.63913034973768, 830.387211221999, 831.00679316488197, 835.4735673584081, 836.63079786935714, 837.00113694815593, 838.21529321594539, 840.20807976368985, 840.66210740842416, 840.90201504625384, 841.34201885956543, 841.60092201780265, 842.16178088397385, 842.97289400266266, 844.76187595188355, 845.47140455814542, 847.43730162659949, 849.12636432371653, 849.25285394840046, 849.60638740374429, 850.60787368801573, 850.72506205733407, 851.53442510095135, 851.80431446991213, 851.9578335439694, 851.98216524518477, 857.90950120665241, 859.95983926511519, 861.29230838089063, 861.94570732049192, 862.95491233461644, 863.39012119334234, 863.75928962368971, 866.26082944770508, 866.67075839705012, 866.81178134314177, 872.70130043491633, 873.10899513108791, 874.66000258087536, 876.72614016514376, 877.62089051987937, 878.70161799349717, 879.20239503750406, 879.83808468772065, 880.31496552606836, 880.99648803724233, 882.31584579239563, 883.02089664232324, 883.39331504097686, 885.04105686405171, 887.45446596451609, 888.04261708500485, 889.71781773292207, 891.72159386877831, 892.04599803693907, 892.11601252191895, 893.9681227238782, 894.13958795443511, 895.29303493829138, 895.51646591906399, 897.27537350966725, 902.15042403125756, 905.46791526550862, 906.17890547038132, 907.70548794642991, 908.71212655771603, 909.07255252831135, 909.7742232164037, 911.09804675936164, 911.38539686836089, 912.90408461395043, 913.32168811522638, 913.43274082293965, 916.14002349919667, 916.92443283941111, 920.09223316421901, 920.8093901534038, 921.39301335995754, 923.25582822751414, 925.59940132750228, 927.01583255116873, 927.24921980479905, 927.64361792735622, 927.8961985721528, 930.1876391233194, 931.42865663305952, 932.05004365250056, 932.39062870500186, 933.5413935135881, 935.45217522131793, 935.76402187782605, 935.94091598696764, 936.18387554937124, 937.59874358641321, 939.91072913627511, 940.51063735494745, 940.77392849242494, 941.22828208988255, 941.99825658576776, 942.69746227632925, 945.85929505380932, 946.65368556993224, 946.91768963643642, 946.96513810382294, 947.11912609047215, 947.17462510136897, 949.109451993427, 949.33674282251116, 949.42897469962611, 950.51761863640365, 951.03474723870261, 952.06655990372599, 952.6299143261657, 952.7561954620603, 952.95490770263348, 953.3193709797232, 956.96177752497351, 957.81585466571289, 958.34029383694576, 958.94154597115084, 960.62984861728739, 962.97221053782425, 963.16282572486637, 963.44239172175469, 963.94547798606584, 966.74523168046619, 967.71225342692628, 970.49121730465288, 971.26241444381071, 971.7750993252223, 974.43292061553109, 974.75435548724568, 974.94556773160934, 975.89769427523902, 977.02675245826322, 977.18912651029882, 978.55242301762496, 980.01901018139586, 980.69738009754292, 982.18434769336329, 984.94691654197493, 985.54900253337098, 988.98058632043228, 990.54823103820502, 992.06875066544399, 993.60646219406851, 994.85747805886274, 995.50891499792817, 996.16515762008237, 997.04636140924015, 997.23423333198446, 997.53920988576976, 998.84262157750845, 999.51777392432871, 1000.3089259006872]),array([47.160855642927281, 47.843021183531533, 48.14126332652171, 48.165926184958167, 48.456678172978862, 48.664141704600709, 50.627825153604533, 50.832757192222189, 52.716520443618471, 52.896588055433838, 53.324766195917277, 53.472112258978179, 54.167148420494449, 54.884187087631439, 55.641047444042599, 55.742027637452168, 56.429448831662512, 56.58571263006349, 58.32393868955441, 58.913263936242998, 58.935948856501, 59.914649521594285, 61.811801971156683, 63.040892956477308, 64.951298277835093, 68.706108195013329, 72.953353773295774, 73.132301585118412, 75.476975794150746, 75.951201805236366, 79.145254849293195, 79.698216953171766, 81.224763073078876, 84.204706852762399, 84.575326210777462, 84.750934574639629, 85.919948797557964, 89.060269022743128, 93.006882232557629, 93.683429847619735, 95.091588067171841, 96.37187391123642, 97.104573483270272, 97.366972615740465, 97.633474991270262, 99.361509422256091, 99.680395741530475, 99.932510960481935, 100.37274271085626, 100.51934468769353, 100.69829946010228, 100.7653538254872, 100.81057637373071, 102.65900263212342, 104.76551314643946, 104.80012804837965, 107.46844464209684, 107.50573752627653, 107.95391591451336, 111.67254469307946, 113.95229762092082, 114.47078636124809, 116.67924658958054, 118.36730737452443, 120.38011950530381, 121.33202979638881, 121.58530593193711, 122.2249991226924, 122.70527598984073, 123.60206836463492, 123.83258769177309, 127.71646930496527, 129.29025945332953, 129.6894454218027, 129.73457442923902, 132.47387745438181, 132.93791147035088, 133.46102042645487, 133.91077354532467, 134.38388937909187, 136.94344678210956, 137.40079179197741, 137.97092635640519, 138.77715969918793, 143.02339260128753, 143.47976530884949, 146.13861074609048, 146.53336934147435, 147.56273958082471, 147.84863621416588, 148.0077820669444, 148.23665531949271, 148.54206214506493, 148.94914357616162, 149.02161450217648, 151.32527871073711, 151.75799458517741, 152.53882978456312, 153.10258508450482, 153.61754820085389, 155.83527317618947, 156.81951109398392, 158.19065956357613, 158.84637757044359, 159.63297649096677, 162.39048144130015, 162.51001217931611, 162.60857204608178, 164.01578142228124, 165.23721367793559, 172.02227164846337, 172.63752384634174, 173.08191556216312, 174.60383169815668, 174.79149824905062, 175.45333302000785, 178.37932731709731, 179.04784816731583, 179.42932542360381, 179.77341825787781, 180.03991844177258, 180.94057068887577, 181.3753411264623, 181.47049153367797, 182.93923469949951, 183.09813847799603, 184.77653056067265, 187.05955777699654, 187.19579501108979, 187.33450877846235, 188.05788101860844, 188.91355277004061, 189.65146874439466, 190.16312142107193, 190.35660717637711, 191.08001268531166, 193.20486491981399, 194.74291080712911, 194.90873887692791, 196.30854596085152, 197.99707333185324, 199.16003522623743, 200.01065553667232, 201.5521859171939, 204.8750684432413, 206.05057242050407, 206.45504986179071, 208.02227574919743, 208.27732191652984, 208.31156408147601, 208.9877736594965, 210.13591413891896, 210.7640508640558, 211.00346329316059, 211.39114869039065, 212.2428211569254, 212.79189271340013, 213.07351779273498, 213.64761954890042, 216.43703425017449, 218.95256761900612, 220.48069650734882, 222.4267543161582, 223.02293776760922, 224.97713043288763, 225.37469610681799, 225.61273037130394, 225.63723476904633, 226.32144681272422, 227.46923345817055, 232.8596493061977, 233.83436498219331, 233.9409273299645, 234.48642389295009, 236.17393896280632, 238.03299252464458, 238.4111331885457, 238.47216186499224, 239.13570377292854, 241.98037389586227, 242.39033835447268, 242.94212045240874, 245.13250314456843, 245.80965673394815, 247.55272798089518, 248.05799278035971, 249.07537562322366, 249.83199916714148, 250.63190935393374, 252.98448326678025, 254.31621735667036, 255.99994029967206, 258.04697092942882, 258.20394411181343, 258.90015538304715, 259.39249985520297, 260.97238479469013, 263.08378653664994, 265.28835238601056, 266.42790857485193, 266.59562104877494, 266.90484672028742, 269.25483552423719, 271.94676088891566, 272.93208146951264, 273.06935080257273, 274.27804068080053, 274.57311216024544, 276.29384464572558, 276.50136242469927, 277.11771943059597, 277.53522922836493, 278.05675990645403, 279.78686987393741, 282.01269508566838, 284.85914738850846, 285.84545406709998, 286.39274940411258, 287.40849567245607, 290.8557789733743, 291.68044413337606, 291.75410999575018, 294.84795841639692, 296.18102930346106, 297.41575196135159, 297.71702692613417, 297.762245595563, 298.0835560736997, 298.67458814032733, 298.86336226439948, 300.30452066981474, 300.71625533656731, 301.1355659051909, 302.16389348636108, 303.52685690622042, 304.62952506331237, 304.86517795429552, 305.79096817308078, 307.41403628112107, 308.16495067242181, 308.28379863902745, 308.62112999152993, 309.86641797181477, 312.18325801831401, 313.3220193621911, 314.07414255865729, 314.92621358119879, 315.33859980889264, 315.3636307383216, 316.9976293745749, 317.87784964435826, 318.43957804313305, 318.54606532566373, 319.2610869755319, 320.16772560951409, 320.29130542474536, 322.47615110155908, 323.28497740376991, 323.74297633887431, 323.76979657133035, 325.7585245568161, 331.32214690614677, 331.54710870511178, 332.26537578497368, 332.66739898175098, 334.10580327000321, 334.96751007078029, 337.22312650360811, 337.68259185639567, 338.32251549371233, 342.09771270889223, 342.77840370823498, 343.24326764467912, 344.28840848115505, 344.8357848558307, 345.21386992272511, 346.2081885751254, 348.72743603081705, 350.13051237998241, 351.67165266246207, 353.44061706140161, 354.70654052346401, 356.21669419071605, 362.13639743904162, 363.08953072572007, 363.72242827089644, 367.13666900624014, 367.17642010827046, 371.02333141972974, 372.9836374793083, 374.1415871763279, 374.77845867667469, 374.90757068998511, 375.95750306853762, 376.77428978201357, 376.85046257431583, 376.90846236977461, 378.61558172854171, 378.74624701023322, 380.89123455961726, 382.67048167895427, 385.35675387150036, 385.88144701826536, 386.49657996867222, 387.39756866120968, 388.63650979252287, 389.55094813193438, 389.70282626275576, 390.93814199977254, 391.06055575414206, 391.86392686452729, 392.25166122027053, 393.41167573543805, 393.79058369941845, 394.1741063584592, 394.7647174870861, 394.79142868567095, 396.07504959049186, 396.32092931094598, 400.57977295582685, 401.03751145775539, 401.12356342409919, 401.79342306918346, 404.08904046064538, 404.88260733256129, 406.32713708576358, 406.55774616031022, 407.00093413502032, 407.12495787223412, 408.08760811745498, 411.03727492821497, 411.10639385867375, 411.50141934913557, 411.60941410230583, 412.35528740978037, 414.73385379589058, 415.27894099620613, 415.51627342099198, 416.94723778262528, 417.42262111164166, 419.56706789857628, 419.8783043036392, 419.90841497545836, 420.52692397858283, 421.8200072322287, 422.45322259115261, 422.61673211687906, 423.23879012132898, 423.26215534002392, 426.25110806700263, 428.324573157099, 428.77667806583833, 429.08739023906833, 429.98824842586311, 431.1218840598126, 431.21298704945991, 431.74877244271681, 432.37367670553959, 434.77164543909743, 435.01204292249054, 436.54864847101203, 437.22604358230188, 438.35436112210641, 440.12030464435816, 441.41979262514684, 441.88487177924191, 443.22806203274911, 443.64981941664536, 445.1042206955579, 445.45639687774099, 447.72015619184288, 447.82488759318289, 447.87015831970541, 448.76332787963872, 448.91259463506191, 449.09211284901289, 451.05947059458288, 452.32804552757602, 455.05455756858709, 455.09471856402939, 455.37757493987664, 456.52007939003425, 458.95021453675628, 459.14112644284188, 462.81736843968156, 463.23924337011528, 465.63579857586774, 466.83466753399404, 467.10610505367322, 468.41166243856884, 469.46789540689798, 471.34496552679241, 472.31701177367955, 472.72761024044695, 473.57147345627465, 474.4973195290313, 474.88437472835346, 475.10767256866461, 475.51986125143992, 476.32985034657145, 476.49303172367865, 477.46423921089155, 478.2060505363238, 479.9097263815213, 480.72032322296542, 484.49773062421951, 485.30422366495509, 485.68700925787664, 486.28431157793375, 486.33447264162481, 486.79328464184158, 487.99581642886722, 488.93837353708079, 489.86535889579136, 491.95420386011358, 492.7402600410984, 493.33949668290069, 494.98602246982836, 495.28209236736313, 496.33214954845965, 497.35191536103633, 498.40816626669817, 500.0579233025864, 501.43066063831299, 502.06036021388269, 502.89766495081932, 503.03101053511591, 504.79587225656138, 504.98064503930294, 505.88065740612495, 508.07219757053178, 512.6543920245, 513.05397386467416, 513.11257591467063, 514.12760832920412, 514.16198256205598, 515.18637113440548, 515.63631437469007, 515.78894095977569, 515.84254596249934, 518.76898130987513, 519.55164014790682, 522.0662237875639, 523.34100249222013, 524.06724295479228, 525.60190539662119, 525.76380689157088, 529.16031749894421, 529.89716383633356, 531.38089303334755, 532.56206214489657, 533.80253352306431, 534.05602094116819, 535.64012292842528, 535.83915633110541, 535.95781496831898, 536.62983606108219, 537.01650082241076, 537.16484785402474, 538.01177330403073, 538.87729383959072, 539.26865669647327, 540.60003854948297, 542.42948719774142, 543.92157013543886, 544.00741438605689, 545.44739690044435, 546.62306507998107, 547.96479096069504, 548.79394615382898, 550.21080493118291, 550.47255739075422, 552.69059296813884, 553.09741431889449, 553.68477407738442, 553.7755505061931, 554.64989833187099, 556.43414451818433, 557.19648507827549, 557.30185914697211, 558.20279611168371, 559.34924293488336, 559.52404800021304, 559.70394597819609, 561.15110201280129, 563.27764608598784, 563.42607785969665, 564.51510266530806, 564.73661943381512, 565.59445823548776, 566.78091407608474, 568.05503754647691, 570.60650335227433, 572.31362271683679, 572.8750732406553, 573.17486986881329, 573.76753124521645, 575.04369858415168, 575.28351652048639, 575.52649840843867, 576.13168494778449, 576.22309355574714, 577.28981645770375, 578.24449757069465, 579.85677385688552, 580.41661864223227, 580.49498408735531, 581.61900598888349, 581.66671279979096, 582.22438334933099, 582.57975478510787, 582.70313869706263, 583.24831051721878, 586.30510997901342, 586.52365816996758, 589.1159610978641, 592.76952495839851, 593.50282083451964, 594.10243220077848, 595.05086893406246, 595.24821116904786, 595.42887967420995, 601.91145293787554, 603.04315883550044, 603.24573947897272, 603.42212013945743, 604.08116171560289, 606.26312798315473, 609.4485076407052, 610.73573694113895, 611.24067863180198, 611.56049312349228, 612.21648113258493, 612.4448745403746, 614.01763745021015, 614.67686635830319, 614.8436029572199, 615.84513180673707, 618.10670542898174, 618.16498959861963, 619.22178533165504, 619.45761348907786, 619.83990681489058, 619.92191779784673, 620.04193087531803, 620.82905275433802, 621.26879521703847, 624.78187683204635, 625.19513323056549, 625.84641853271341, 626.11079703614837, 627.86957464593036, 629.60543489483643, 631.03310342858958, 631.311610195806, 631.53956338192336, 632.18589469448091, 632.53320783485947, 634.03207441011148, 634.62444611915748, 635.11352288713192, 635.85615070670019, 638.71346197061246, 639.20263275542823, 639.40962689415642, 639.61389014008512, 639.85551319720628, 639.90462324500288, 641.93257867711554, 643.13945693652738, 644.01805867023984, 644.75403737593604, 644.84528006901564, 645.08151315610894, 646.62376062835847, 646.88619511084539, 647.23609883876975, 649.44232600605051, 649.7732419766312, 650.06975837991297, 652.00313554464208, 652.50766130607462, 656.0561753725467, 656.17900354365224, 658.35121125929516, 659.27547669434955, 661.38989758193225, 663.13173632874316, 664.8424352748159, 665.42335637247686, 665.7341402399145, 666.54817133210054, 667.54771182972365, 668.71239536155826, 668.74725546942182, 669.89011913216893, 670.38274544478975, 673.01352681945423, 673.1205465441551, 673.9287627209228, 674.29385344260538, 674.52506707489238, 675.3088887619989, 676.04831449554536, 676.09074820875173, 676.67090416092049, 677.91031480447919, 681.7439741921969, 682.76749712336846, 683.03443202590847, 687.05780177469217, 687.15506626266165, 690.15876018610686, 691.01022992544438, 691.23949694051601, 692.30457813036298, 694.29902735570283, 694.32586082145906, 695.08949597433002, 701.65274916621479, 701.73419153807799, 702.67985827194366, 703.29862507888504, 705.52315310086419, 706.26658779069453, 709.64946130042051, 710.12563362718765, 713.10050542997112, 713.75695571593565, 717.588915672393, 718.03497727504896, 718.79278856554208, 720.02807885552932, 720.77845995556811, 723.93985844682095, 724.58913976487213, 724.90297396050983, 725.79878007847049, 726.0218841604385, 726.18021280106677, 726.36689430085937, 726.52316862023201, 729.59214573684346, 729.94613034380711, 730.29533593040946, 730.63364309179224, 736.43019402016387, 736.8361185699157, 737.54994067811424, 738.52592161875202, 740.68095740007436, 741.21544132654424, 741.66778907631715, 742.35286340680364, 743.11257468595443, 743.1823496927683, 743.61162416309492, 744.15041275459657, 744.78512733553328, 744.9900854556671, 745.75089184000467, 747.91455233332795, 749.68989992564298, 751.63961992748114, 752.64239844856388, 753.24057932084838, 754.21904492670092, 754.28363404963511, 755.70023958263391, 756.49745756194136, 758.72365849298706, 759.48840609520789, 760.7896602799093, 760.88441896185088, 761.18316024632099, 761.99407563825093, 764.30034202215904, 766.36292504541552, 766.65219803256184, 766.85623516615885, 771.12884791411682, 771.23948209165258, 771.78623923675605, 775.62213308797016, 776.84691968525726, 777.79374075089459, 779.70483926427664, 782.16771661502844, 783.08436014375434, 783.11038839177365, 783.28897367217178, 785.28243065241315, 789.63817241642232, 792.70541430029687, 796.68779217500412, 798.83501380741211, 798.93336848761908, 799.18834140759668, 800.0919929488316, 800.56551532644221, 800.77554849504418, 800.80772655377848, 800.96832519212353, 801.66092664674375, 802.16651163692211, 803.03515024557419, 804.95201432051181, 808.0589586446215, 808.9345927758701, 810.45618739791553, 810.74939247533086, 810.79750385628029, 811.65047855803368, 812.28838948251519, 813.28993431543415, 815.59846042921947, 817.49492518818033, 820.1973740244008, 820.90000423418553, 823.06199989357083, 824.46450357694596, 826.10186188958369, 827.44494643727955, 828.6302139623067, 829.24678830823621, 831.97643348543386, 833.50805540030387, 835.04636772539993, 836.88857222989918, 837.78065315516244, 840.29114334128406, 840.31726321815052, 840.34713769598716, 840.619940520049, 840.85882429834021, 841.14382686373358, 842.49732716756671, 844.5167635889361, 846.92806302985514, 849.21496591289542, 849.32931135114495, 851.31410864082648, 853.78801813600501, 858.96982868290752, 859.19095071824563, 860.61083234899218, 861.31484199350575, 861.90564504258293, 862.16950654055563, 862.6685377691432, 863.09006634692128, 865.24570850267719, 866.81247739924277, 867.59771985359248, 868.28952331172025, 868.7303000522711, 869.09091249665732, 869.15090083491668, 870.48698895576069, 871.93797377980798, 872.3444100492062, 873.05027996190165, 875.85783800072522, 876.99844377239515, 878.30958446095849, 879.87079601710661, 880.5901898255679, 880.66443292551969, 880.86968171403123, 882.23616899397814, 886.2263009313001, 886.74963776723405, 887.55384469214766, 891.77425713426646, 893.54982460759925, 893.60950298919363, 895.40481913495091, 895.53124989851608, 897.75192090808662, 898.27605254858338, 898.6869426485955, 900.87923854226983, 901.14479886009474, 901.282713187387, 903.21322303410966, 904.56305382699145, 905.54053337867208, 905.92470516257902, 906.64182161907604, 907.26165166385135, 907.51235312662141, 908.2089758016034, 908.47810320554049, 910.86968995840789, 911.29064705125904, 912.56927584833943, 913.35584980651754, 913.9956210580001, 915.37513188399555, 916.28369930150325, 917.79608883330138, 919.62108581449365, 920.81475901488272, 922.15226845048369, 923.33041041584772, 923.60096948009095, 925.02268203402662, 925.23337375178119, 926.41769980207232, 927.1892806719477, 927.82975052850725, 932.04929344608649, 933.87773544175957, 934.02641928476226, 937.64941892802756, 938.33750003939952, 938.61064124695793, 940.85657631622905, 942.37410402141404, 944.27156996097756, 944.60464116865217, 946.06084095805545, 946.10831989087217, 946.68135933244571, 948.29057290166406, 949.04948831769957, 949.54561928706244, 949.66527626018433, 949.79202101271778, 950.65369401172075, 950.71182593702179, 951.22202007804106, 951.95638751611614, 955.3924504124119, 957.26457364191788, 957.57377386490884, 957.9024728695673, 958.28450804431338, 958.31453192248534, 958.50134730330024, 959.12183660286712, 960.19334326754301, 960.95263666730727, 961.60090153113106, 963.51591702820531, 966.72597967042645, 966.98353617721182, 967.50397166240077, 968.78694154150662, 969.09821385614191, 969.25169005443502, 970.0667562430948, 970.22860917595347, 970.54771564982036, 970.78498202497758, 971.79481981544507, 972.59659983652898, 972.75248827576752, 974.11740608725108, 975.35844371678365, 976.73918036325483, 979.39647890350966, 981.37267874581892, 982.07674344774898, 982.3896585558806, 984.00022548388438, 984.08002433901265, 984.51898916046241, 985.86119242383688, 986.40334884287586, 986.63951125408721, 986.7869974813068, 990.52984811100339, 990.90827793729704, 991.12876729034542, 993.01797737037975, 993.63166836826815, 996.46983477156277, 997.57192909146193, 999.77435071886407, 999.85070863610065, 1001.7210714753325]),array([79.739854673092054, 80.168094741787968, 80.710201203648325, 81.477996147055663, 81.552032160757662, 83.434018075632324, 84.57247047059802, 85.290147043811331, 85.944658335869008, 86.114829805611038, 86.334250786436741, 86.373129175105873, 86.767893671140484, 88.599117195482052, 90.086703608401706, 93.009332309750889, 93.991192066124754, 94.064944622105713, 99.342807649721607, 100.14154712854564, 100.96270460744962, 101.31483257059486, 103.17974654305719, 103.3900903910898, 104.94597659127182, 108.05695570959649, 108.41886274651864, 108.7610485233604, 110.79561242154489, 111.29132437510768, 111.44788000696532, 111.55871101448331, 113.03948863529638, 113.90515477591812, 114.34137718263304, 114.85723806852953, 115.55937828219167, 116.07110524067907, 117.10385435891085, 121.15158325792169, 122.93964014928247, 123.28561340380242, 123.320082129037, 123.69555784817248, 125.66997423125879, 127.50147369258893, 127.84199040703673, 128.32308288121129, 129.22434337452759, 130.44219250737996, 131.93899458948107, 134.32899787529507, 135.40481370597237, 138.17768291881282, 139.08369694921731, 139.65444475334738, 139.87938974598379, 140.01794488310858, 140.17405447150529, 140.36901045248837, 140.47793066567729, 141.22278233270836, 145.3142001899908, 145.5766148898322, 145.82013269005398, 146.57230313917825, 147.9016128824891, 148.28089534163789, 148.32569342628705, 151.12883354534722, 152.32839522779506, 153.2729959257681, 153.32913021937472, 153.40389857810428, 153.88144497818746, 154.16717975165162, 155.17794398246045, 155.86776200372444, 159.17300875996932, 160.3896680472908, 161.11847387369252, 161.30461901008846, 162.53030074258982, 163.70922140205084, 164.50711951395854, 166.81147352354577, 168.01979229860007, 168.91106550953154, 169.89135678701876, 170.29433840494912, 170.37988186081083, 172.4992172214192, 174.53941367680295, 174.78861084351126, 175.18083597473375, 175.67108719019234, 178.07150301596315, 178.84815246503533, 180.43800665440233, 181.1120329717194, 181.50951017282645, 182.80677890523916, 184.62808458022295, 186.80705091006411, 186.89082861518696, 187.55264741664743, 187.99345796873743, 188.37130171743649, 188.67208037505333, 190.59836281188649, 190.73771395531037, 194.20840332586516, 194.92558469501066, 196.46166106531373, 197.59215026524828, 198.8784016147095, 200.71027183597971, 202.519597247554, 202.85680525238968, 203.91668005340051, 204.6300467482933, 205.51447965453829, 205.83230518881066, 205.94350369294355, 206.03180660332029, 206.06894473051054, 206.10052256464863, 206.25747396960995, 208.24418742919852, 208.45768403517985, 209.92989515533262, 210.83568233813568, 213.1346901073847, 213.50542669630298, 214.82588429396762, 216.43200893464353, 216.84502517872872, 217.73711985444902, 218.51120946171562, 219.72091049535825, 219.91891803974136, 220.67832230785794, 221.16021415882071, 223.78323853416131, 224.67669699152643, 225.82810181799749, 225.90188498648882, 226.29253939853118, 226.45020267570925, 226.50391867924455, 227.25396963796632, 228.44485133832006, 228.99440384794531, 229.2424887565063, 229.88335278455736, 230.61252765008317, 232.22869066401248, 233.13709456073465, 233.43014149592994, 233.46198149424663, 235.02967008886773, 235.37554216855611, 235.61343309938505, 235.94505896924775, 236.34632559329739, 236.91305288064456, 238.6027889583261, 238.91862723776666, 240.82365807199281, 244.32078846943298, 244.6317218153188, 245.58018634624744, 246.33049286585577, 247.10181748814475, 250.78996371652946, 251.10089852115635, 251.16108594608355, 252.06749331646543, 253.14002198508624, 253.23851178550072, 253.94473769277405, 254.05470173423899, 255.17151156870685, 256.21808798822747, 258.23067574026692, 258.863068860873, 258.8925983761967, 259.63274143904164, 260.34935940901789, 260.95016170286243, 261.20371089489424, 264.62029766236134, 265.64788394947436, 266.00802831903098, 266.56384922995352, 266.93814531184591, 270.07845878872121, 271.54420754842499, 271.97962168377455, 274.41923305921705, 275.84207658706458, 276.40847757695735, 277.33861148558344, 278.86131317338237, 278.96338587006028, 281.5813157487699, 282.24136439622322, 282.45152484512897, 284.1252013469695, 284.20879424536616, 284.96032139725935, 285.60195222461863, 286.00479237615963, 287.8455770184583, 288.34456690026917, 291.10991766004952, 292.78491686490429, 293.34999455341006, 293.99913118373905, 294.25936798652822, 294.32374139553843, 296.37972374073007, 296.45993656314903, 297.3256064378794, 297.9622661782177, 298.26553851047174, 299.29132266099094, 299.49524161359926, 299.73131183965569, 300.25891644116888, 301.31268252618406, 302.4740168531286, 304.53621096497335, 307.27255099389242, 309.60483110131349, 313.90091682706498, 314.06029337563683, 314.48990308723506, 315.62649271301774, 316.42389877869022, 317.08867921632054, 318.48643537079744, 318.89175393372329, 320.32565454700909, 325.34328406697921, 325.37429528179086, 326.44858954028018, 326.6948357232414, 331.75085783963215, 331.78220463309776, 331.86165856316774, 332.26641567435286, 332.50340974331425, 332.72189793295058, 333.71687561337603, 335.70178223045554, 337.77824458914586, 338.75416987160355, 340.11026869602802, 340.27486972530721, 342.72243045878514, 344.25270643393065, 344.52381553071467, 345.82245439948377, 346.34485255179482, 347.1120634178713, 348.4049563259702, 348.80660470614708, 349.96164054438447, 352.6187069721974, 352.91562643350841, 353.59502258129584, 353.90020951528555, 355.23739650559503, 357.76205009402724, 357.98916334340316, 359.5070843633589, 359.66616297839806, 360.34923751928352, 361.45607703556027, 365.19996147393095, 366.17136363485463, 366.4207789809733, 367.56986995034049, 368.19931260105648, 373.28837455774101, 373.55187653631833, 375.15138787746463, 376.25702076812507, 380.12306773693729, 380.38304370681914, 381.43128130959246, 381.66947919311531, 382.72537874199895, 385.38829330207221, 385.95165315781873, 386.42486771084521, 386.71688965664964, 387.23307634120198, 387.79808111633508, 389.21969615796343, 389.25731811473071, 391.35242290749602, 391.76236806065373, 391.99368369909149, 393.91204601394895, 396.80205958363638, 397.1422990506, 397.36474239215607, 397.43410130161817, 398.80786759425075, 401.00646590927403, 401.63836897282664, 402.46249720045216, 402.56651868805858, 402.63895755698775, 402.72716100480699, 402.89124990449864, 404.51942839372242, 404.97468510152351, 406.43355826076726, 407.05739247750398, 407.86198606947744, 408.94267554297215, 410.30603155848013, 410.8616773953562, 411.51421965316911, 412.45486761166524, 412.57094780101079, 412.67478759996169, 415.51162710014182, 417.04808761835568, 417.20544415530014, 417.39822856234991, 417.57546359345741, 418.41701493066699, 419.02308596651653, 421.45611040128557, 422.10526854989803, 424.65158025788361, 425.27355172282421, 425.32437933662447, 425.53727450569119, 426.31805148540889, 428.67864918719505, 430.71197147238729, 430.81092810224396, 431.39600555731266, 431.80786070086106, 432.43961828585373, 433.47840814307114, 433.5281509240578, 434.41017138005077, 435.78753335655153, 436.27068924004095, 437.81392063901848, 439.10468394871975, 439.155109107643, 440.44225952646985, 442.15347903639173, 444.51019395732931, 445.55990732576896, 447.13295192156619, 447.29044663734197, 447.81103960882245, 448.26941119652668, 450.42729946670568, 452.78895126648479, 453.04414596660405, 455.42367831040514, 456.99040899170251, 457.18600753094154, 458.07150239325267, 458.48360963977848, 461.29116799484899, 461.52507828357682, 461.6820326352298, 463.75221552829157, 463.92642573969192, 467.0836755885033, 467.3236636705667, 468.36506084347275, 468.67477365692713, 471.14658882733443, 471.55578136748352, 474.2068406729058, 478.70058644216056, 479.29198624496655, 484.86811047990687, 485.12570793916842, 485.23333656855596, 485.74439791420644, 487.04948243288032, 488.45384985592131, 489.38608719965117, 490.17557643465074, 491.4486058945372, 491.76360127805236, 491.88498123330049, 494.06923721953552, 494.13688226666301, 495.7921332285556, 496.89169756920211, 499.30315824863249, 501.80371853524144, 501.85898393664309, 505.30778530364813, 505.76476419036544, 506.22965359723452, 507.8140171468732, 508.0370755239216, 509.03675773895333, 509.45747420248694, 510.24853594419278, 512.27233235843141, 515.02393919200074, 515.35681739930578, 515.51662015140175, 516.96074895113384, 517.46799042773421, 517.62495586918646, 519.01141581128729, 519.52180627637949, 520.14539025969236, 522.8244853805171, 528.85428670153476, 529.22783199473065, 529.72968396763383, 529.99851939476662, 531.20431718235955, 532.49572441516716, 536.24310293582789, 537.35169359731117, 537.86947233284911, 538.06776459403102, 538.70749029117849, 538.78779160677436, 539.3940936188061, 540.75002688309291, 541.01023317954764, 542.2418720036186, 544.08857698775046, 544.46473930189609, 546.82471058692909, 546.86779720918003, 548.29155685725027, 552.77008558398495, 553.13474326247513, 555.38005238824906, 556.55698929539074, 557.15253291550061, 557.39595830362987, 558.59240995620723, 559.51160802132711, 559.87236942845266, 560.85943542157918, 562.68718209999429, 565.85645554057248, 567.66443401734841, 567.78585112287317, 568.27599311223139, 569.34630443579738, 569.8660066319901, 570.22589779468149, 570.86068408166193, 571.7856311801462, 571.91313265397832, 573.05859666097751, 573.68551271624619, 574.07404596785841, 575.12348316655141, 575.70938944108286, 579.16305911823679, 579.77762267587798, 579.88648075627543, 581.80727916977844, 582.7704398515059, 583.31713301740911, 583.82767711559154, 584.69272435791504, 585.88245301986478, 586.62511121114642, 586.91940478797778, 587.75268260186056, 587.94455585034291, 588.16249647910195, 590.28291367159079, 592.07703713407898, 592.81980629994825, 594.85428252767906, 595.70578840636301, 598.65295293785357, 600.01191213580864, 601.1137044120444, 602.09575195068942, 602.39912773508013, 602.50751882279815, 602.71030537176046, 603.325442587353, 603.96032250131373, 605.19835352905011, 605.79800835012929, 607.0507485994334, 607.73836676658198, 607.89733413989427, 608.61375142187035, 609.09001111627697, 609.42136476252983, 609.50369219332515, 610.01645374586235, 612.21726377759421, 613.11919151845689, 613.19976753003175, 614.11111864040936, 615.41019762354063, 615.7425709301765, 616.17991938322541, 617.11477864586084, 617.52413850179664, 617.88085713202145, 617.91805642285385, 617.96127558061494, 618.25186421394756, 618.44719489337501, 620.80990777054694, 621.08788383629451, 621.13293230144029, 621.79714683617215, 622.80134583240374, 622.87281042686345, 623.33681399764919, 625.26630387910984, 626.35102930934181, 626.65190871986579, 628.68569541268835, 629.09599367535975, 630.56999249447142, 630.95235866466544, 632.64149718784631, 632.75591456506129, 633.09087488137777, 634.40413023295923, 634.76176144513659, 635.21334386670139, 636.80571122151252, 637.05373274947169, 637.47884348502828, 637.64326098352967, 637.87111637051476, 638.1660913012895, 639.71728165713478, 643.36775452567088, 644.27264511760814, 647.92204660399568, 648.10956415777935, 649.44776335643405, 649.86552198135803, 650.7574758682307, 653.76273013206469, 655.19919147383655, 656.70268035344009, 657.76342414224973, 657.78515295342231, 657.84327767713023, 658.65287571752515, 659.24871241003325, 661.40523183868117, 661.71665895467299, 662.13011797984723, 665.01161809666667, 665.2505775973641, 667.62297095490737, 668.58755418614658, 669.12325825677578, 669.93876716262241, 672.05159570336639, 673.91646171592129, 675.6253169755779, 676.56491242262905, 678.07901714345007, 678.60481695541864, 678.82475390566458, 679.32074342314979, 679.79475319578694, 679.89640304871205, 682.91995394814683, 685.25250938063607, 686.75843152553375, 686.98321978548097, 687.90047096731519, 688.53705324129794, 691.47239584319971, 693.14015996006992, 693.47323497526781, 694.08211022385387, 700.05175483970913, 700.9025725012367, 701.12423988032469, 702.70641981777692, 703.46901203958726, 704.53758063767054, 705.42511686680189, 706.06606760895556, 706.3411373775848, 706.56108615228482, 706.92159987748141, 707.66076047285355, 710.99099298951944, 711.23229487766605, 712.41967857082716, 712.59124105181604, 713.65580161615355, 714.52641522231966, 715.43220695282844, 715.65826338425904, 715.8283919618633, 715.87737416793038, 719.2304844694786, 721.15100506932583, 721.92197390813226, 723.63921234653571, 723.70694567559281, 724.25831649540487, 726.82003848593297, 727.31389639952533, 727.41673772528611, 730.15756326570943, 731.34998186366408, 734.54844985219631, 735.92905205124032, 736.24498976104599, 736.83815918399171, 736.94690140911666, 737.03646864105804, 737.87212978987475, 738.47107632114921, 738.72221727191959, 744.45139385497134, 747.24737836108795, 747.39024077244403, 747.61976162062263, 748.1020616831546, 749.04063377833563, 749.21877964780242, 750.16759012616342, 751.99349242630467, 753.8465351803876, 755.84765139043407, 756.42307144151584, 757.0786471316942, 760.52251413908493, 762.61901144189937, 763.59745520596846, 763.65442279949207, 764.92609483310696, 765.54903781227495, 766.41522938972059, 766.48027422102939, 767.03743519399939, 767.2545030630838, 767.72421899829203, 771.90029190263488, 771.97898476720616, 773.19956568933412, 773.38635297826249, 774.14759537347629, 775.08515583897815, 778.81083631227682, 779.02800038150315, 779.63238716431749, 779.8792352644698, 780.98791149118779, 781.54325879263888, 783.69100028841262, 784.08601144930276, 784.73416316686587, 784.99679547253265, 785.8996033660236, 787.13003371143566, 790.26269499293142, 790.38068529357713, 790.55414645940243, 792.72907722588957, 793.33270891575023, 793.63747691778303, 793.84959494443547, 794.26600301978965, 794.4023348698197, 795.30274097760298, 799.42486776333931, 800.70137721007882, 801.8020690582407, 802.87723406725786, 804.26723783871603, 805.48876178205853, 805.91063630520887, 806.80179397094673, 808.65763179915837, 808.81175016113468, 809.27095198647839, 811.78632168378419, 812.57782155875213, 813.17900622038212, 815.50288508045185, 818.56064384069441, 819.24725451094423, 819.45374368036084, 820.30577930903792, 820.69700309285793, 823.69553050232173, 824.41360461458078, 827.28928480184481, 828.0759327759248, 829.38104302942907, 831.54215329703925, 833.02411697285731, 833.70486415768039, 834.73258910154482, 835.42936785429345, 835.84957221852846, 837.81629821540957, 837.84450868863257, 838.80147922079436, 839.59098480869841, 840.00486771042029, 840.96891360036557, 841.39559841411096, 841.90199962147665, 844.30506059308652, 847.86738418970663, 848.06915388826371, 848.21812666947972, 848.44405589317319, 849.39963163016637, 850.31213947289984, 850.86695185644521, 853.02654216650865, 853.25458220467999, 855.42158030497239, 855.66720209597588, 855.75268476551969, 857.35336651732223, 859.03216568897869, 859.50699536878437, 860.37792893804601, 860.53849409664917, 862.17384888979313, 862.42346059151691, 862.77874191981618, 863.36876666610829, 864.75382264332347, 865.80620369716155, 865.85615481343325, 866.54426961721356, 866.6608056013215, 867.04792618872511, 867.65400550013669, 867.71881340980929, 868.32576521609133, 868.53651748983555, 868.60886240583943, 869.81537481679266, 870.70301242815981, 872.1396833728013, 872.67519180739623, 874.44928096461263, 874.71030944870415, 875.00266264965614, 875.12999561447111, 875.22563180658608, 875.51579188909795, 875.74862913338495, 875.84537930936233, 875.89404429484114, 876.23433002008244, 877.90352710333298, 878.29871746248705, 878.44579482115842, 882.3732136167223, 883.00986915769818, 883.66991197010589, 885.7551715423657, 887.38958272907553, 891.05302985979529, 891.32089283890525, 892.70995831191908, 893.90763624417241, 895.6631930281244, 897.14518351350387, 900.88716255816621, 901.42030482058954, 901.50569225464153, 902.20996228808417, 902.7794807212756, 906.84596098125166, 908.37462724560407, 908.73735939820313, 908.95624348467368, 910.5003968472513, 917.12519337713195, 917.99628651885689, 918.91036201438624, 921.02091045487373, 921.41705902597641, 923.06361386569711, 926.87110048970135, 927.79042169330842, 928.11840809876867, 929.32306529430184, 932.40469115734811, 933.29063658562222, 933.49162991158676, 933.7847001618253, 934.4665739026882, 934.74567079533813, 935.20259308469417, 935.4766175358684, 935.78523776846748, 936.61085725881856, 937.78286883271028, 938.06532988768686, 938.3723991640486, 939.07219146821035, 939.44163771810406, 942.5755775531801, 943.33895655037054, 944.49004309218014, 945.82178295327788, 946.32078417998241, 946.79196409407564, 947.28698365499895, 947.90531694966444, 948.26722096884771, 948.6067921882069, 949.33363850654587, 949.88337268315263, 950.00048725953445, 951.51297833752119, 951.58355054947208, 952.67104106091062, 953.84848526663995, 957.27888173146425, 957.59170871048286, 958.2638889887935, 959.64075221187795, 960.10282915960124, 961.38661090613061, 961.78320784392781, 964.08775299701506, 964.31581288119219, 964.76907164439456, 965.16997497172167, 966.27737111747228, 966.96664113416227, 967.99634999587715, 969.55006816958519, 971.10833634368726, 972.27451336974343, 973.76593239229237, 974.05735113436037, 975.71429983490486, 975.84862126086955, 975.96580270902336, 976.00481304555262, 976.84128952972844, 978.35203839354017, 979.10522859175194, 979.90990305251819, 980.55146258683783, 980.94875713243266, 983.3835424086783, 983.63219215690378, 983.97477278616498, 984.62341026197316, 984.75019522907314, 985.21650258769557, 986.52827653227268, 987.75609793110107, 987.97986730121124, 988.82885451136815, 988.90018961107251, 989.41813446147376, 991.30575126958956, 991.72216965216739, 996.46021768697767, 997.04757522348143, 998.74894197467825, 1000.8455141503134]),array([29.769247257389221, 30.814367979945313, 32.091120070853606, 33.75277191138931, 34.346861489041935, 34.549852956700853, 35.072029368486724, 35.233733031489265, 36.529134379398755, 38.016776884885481, 40.133344816701815, 40.824258382471839, 41.946195841893456, 42.732199985334447, 42.976303685916008, 44.246819267151459, 46.537523264456027, 49.184002610908394, 49.846126484065664, 49.988380689463995, 51.361815062239103, 51.620446490620402, 53.272216360635014, 53.629686346100428, 55.097380598798125, 55.461604870782892, 55.796700674150031, 56.035730549415753, 56.221774082181696, 56.428942496591183, 56.914698539055919, 58.298570934280946, 60.395504367785556, 63.30528773404896, 63.471267142266761, 64.923200166721415, 67.703198193826722, 68.516547686087719, 68.861291157410903, 69.61979845781741, 72.735421071626433, 73.933175420467919, 74.222743589040761, 75.314074990206308, 79.265785663512744, 80.355084066340794, 80.968066888929144, 84.130254249589171, 85.595521415803162, 87.388090819353209, 87.88091718999938, 90.455813458087391, 90.788554765628774, 92.585457937745701, 92.777572464471788, 93.035213009611098, 95.761561287294811, 96.029555086635696, 97.090808812506566, 98.583079370996316, 98.62790707677874, 98.847719150638795, 99.44048628307857, 100.18129598707154, 102.55490951502001, 103.12654463632389, 104.78759368406047, 105.51935514094588, 106.05581842795874, 106.59681417760787, 106.78705524105567, 106.85855019325848, 108.01222679493078, 108.55568544754993, 109.54263090764815, 111.75538830581772, 112.08907621209771, 113.16975441466219, 113.6404828610641, 115.034597640256, 115.65540597457338, 115.83995353504311, 116.31813812518217, 118.60146177311232, 119.77634160153832, 120.41463127143415, 122.04678289969537, 122.52049632326204, 123.51518274187374, 124.46467359995526, 126.27534971832935, 128.53591443511459, 129.2438352518173, 129.66592998715018, 130.68482491590768, 131.42178665124678, 131.93671725067239, 133.56084086562828, 135.13437734625228, 136.39536881130152, 136.9848071021635, 137.04101052542779, 137.88543895252855, 141.55715690814921, 142.29579347973299, 142.62256175411986, 143.74917039497069, 144.02177019418571, 146.52055243985015, 147.47239438400845, 149.80047009076117, 150.28456097378626, 152.34320020106776, 153.09638620096533, 154.47426474296023, 154.69082950849415, 155.8182521582219, 156.85378220914529, 156.91178839860544, 158.62731008466631, 159.82676351642078, 160.00538063010183, 161.5653799911511, 162.18710562712167, 162.57783991305305, 163.77758911109933, 164.22132740181948, 164.76543191892176, 165.26080298669098, 165.3537932400555, 166.89913500452266, 168.78480254857638, 169.51537756166073, 169.6714342235781, 170.14155769442337, 170.73798800233402, 172.23065469288494, 172.97243572979392, 175.03093278526379, 176.77901848431401, 176.93177832790431, 179.01607905787162, 179.17414801636207, 180.00149021587862, 180.31060119751888, 183.48047535145901, 183.65919045747336, 185.00403764032171, 187.67704895097197, 188.02598131560265, 189.76460441121768, 191.17399177848651, 192.47780940269553, 193.61859968889189, 193.72655017755571, 195.06685818738339, 196.80305136348187, 198.09679285180519, 198.71036575443341, 198.78095352129236, 201.97220529820675, 202.60326006083048, 202.7106061514115, 202.77163861306425, 203.51600465599137, 204.4469979675236, 204.9647828745172, 206.62367649389054, 208.65702964964427, 210.32992747570927, 211.47884973388642, 211.55836723798032, 211.87496674676456, 212.12882480341224, 212.63014438072469, 214.94719328555649, 214.97508751570572, 220.40620210003104, 221.13968968012492, 222.88264408434549, 223.37851291811455, 224.68613896533677, 224.85389201989872, 228.19709043226274, 228.3081408393337, 228.53622577054162, 230.04568937243729, 230.50564113434723, 230.55905057291648, 231.23770027093306, 231.32382035790923, 231.95976141704168, 232.44790155061943, 233.90045059828032, 233.95072321186001, 234.19220675186349, 234.34874197008335, 234.6143221222458, 238.23312529206336, 238.42259393370631, 239.58298903134926, 239.86581720568071, 240.12995496680114, 240.29162038900716, 242.15933529840871, 244.13176671354515, 244.40488218112992, 246.26582858287682, 246.79039431628644, 247.73658837929841, 247.80934362825951, 247.88188680900893, 249.05893475167156, 249.89922879483345, 250.93561158624493, 251.23384543492006, 252.05861820483983, 252.18641511782047, 254.13692899062323, 254.55293046745098, 254.77540644596095, 255.76647688872444, 256.08964374774376, 256.3158972437011, 256.89063049964483, 257.09912518544121, 258.85788392027871, 265.03198273747131, 265.29027869546263, 265.64273775499049, 265.72152580718114, 266.3239836340926, 267.20018422902496, 267.52631439924016, 270.02436890258633, 272.56901330751941, 274.7982800551269, 276.05493457551074, 277.6654520690135, 279.50052627348452, 280.56469326195844, 282.81823551558114, 285.45485798749382, 286.13759999789676, 286.39460087637104, 287.53783117697759, 288.5731659721327, 288.95433222927409, 291.39834492353924, 291.53849234601813, 292.15395686448858, 292.99427773990436, 296.64587831027887, 297.1934935411374, 297.69742241873757, 300.11916471153307, 300.29273752670218, 301.77027147855398, 302.56392970070874, 302.65010933470865, 302.68426183907047, 302.99549611262142, 307.30937811118667, 307.3503963435283, 307.94699900665154, 310.05661729776449, 310.88250079431941, 312.16327332672012, 312.73984214538694, 312.92360943162981, 313.13867378566118, 313.52482110952701, 315.64133751317979, 316.62986822473408, 316.73878155954503, 317.74764298949293, 318.55827427562639, 320.49252508398246, 321.38762902108579, 322.6107075397054, 322.83447172986473, 323.00944846306299, 324.15152914603425, 325.2158976520513, 325.9042344756985, 326.0833914384832, 326.42308913304066, 326.62264615067119, 326.7237602583906, 326.83642842382272, 328.7894525246424, 329.99111335843855, 330.48234057082982, 330.67391548742069, 331.1511715315221, 332.32640492236226, 333.39204826540066, 334.19978695180282, 334.44961652429902, 334.52779539720513, 334.56886088204186, 334.85502868672404, 336.19787845126245, 336.88245660100569, 337.37672984649868, 338.34020409574106, 338.88311772893655, 339.20261704948126, 340.69105816344819, 341.61793341765792, 344.06066761873262, 346.96823807852581, 347.473959724667, 348.06826743816742, 350.04521352551842, 351.6473399135059, 352.40881442785371, 354.11759006559322, 354.34384132348379, 354.99556679773514, 355.25657923290998, 356.87638370493045, 361.66664034576814, 361.86350459217624, 362.29011025384091, 362.96926505082604, 363.34953836375439, 364.47839294917253, 366.27886732994926, 367.11479104023289, 368.77447877338682, 368.82831372883203, 371.99647646303657, 372.08932505268723, 372.45411699677783, 372.73944562740024, 373.38385396683282, 373.92887997882946, 375.4724920568475, 376.47178832680567, 377.03854753457347, 377.54636894669801, 378.0838080906978, 378.26667016753856, 378.95626575164999, 381.16027682384589, 381.42927205903243, 383.04338730673436, 386.48080271975874, 387.00458387383748, 387.15261634865504, 387.28597573431745, 388.21919863522533, 389.28292239347417, 389.96064287283855, 390.38149227065117, 394.1122529570037, 395.00250968695218, 396.15532866103166, 396.78023070748793, 397.70766027144919, 405.09849392842148, 405.93579089258611, 406.39709709676958, 407.65309402609324, 407.92001964383002, 408.37131694207471, 409.11678255839416, 409.49133083961698, 410.05372599228127, 410.22886493833579, 411.31574798202581, 411.82333447730554, 414.22212503824761, 415.37071829282252, 416.20624961967121, 416.75618637235215, 417.03635299147129, 417.54755276462248, 418.36138546140319, 419.02584806474533, 419.58550939107931, 421.35985029899342, 422.57828185353912, 424.35227102323415, 425.82845063397036, 426.74054590215366, 426.9912804663719, 427.26783107504247, 427.415511517384, 428.08010261137474, 428.2231424750093, 429.33084324613446, 429.41063933466489, 429.69222037127395, 430.60555574498181, 430.81182795379721, 434.16691705844511, 435.12849653114614, 435.99945578578689, 436.36740511089045, 436.62241828001686, 436.77970752092006, 436.96908297687651, 438.45955474669404, 438.88177113875128, 440.00455743565493, 440.81734434494888, 441.16149564130444, 441.30980659471817, 442.4174869097298, 442.94176807036496, 445.71908606350553, 446.93816557539839, 447.51084639818095, 447.92823023363422, 448.42401894650902, 449.70918955222862, 449.87747848549401, 450.04944745919829, 452.94185527526611, 453.0080028815234, 453.17569051088981, 455.07164871857651, 455.75189305383975, 456.14450041913847, 457.16968584808973, 457.42521461508198, 459.7579165826179, 459.92029348701908, 460.30169706919719, 460.62268869558966, 460.9433656794285, 463.24094200336731, 463.38748388842299, 463.71318917727621, 464.16159509165726, 465.78602825853505, 466.22342750918767, 467.49177081173377, 467.66555406433292, 467.79917970264984, 468.53482446952017, 468.88523099067646, 469.93197636055402, 470.48697865176342, 470.65969812930609, 470.88617202980208, 471.30967693984064, 472.56908373834182, 474.31281834006506, 476.36220447381453, 477.75106101914412, 480.01451491287673, 480.77648892945587, 480.94008636363895, 481.23418460816384, 484.67496415048277, 485.50697588909662, 485.59677438004263, 487.70815007391042, 487.73168804992167, 490.94228828956966, 491.33159925212897, 491.54086492651237, 491.66928735206136, 492.48712814543495, 495.9200284542128, 497.51795180542507, 497.72722023166978, 498.54744606959207, 499.46954938727134, 500.28164485971848, 502.2635038908781, 502.54093216041571, 502.66150050275053, 503.14600534777679, 505.55743396929586, 506.53624475158045, 508.27021969028527, 508.60093600165715, 509.22045115769356, 510.0408950798714, 511.25598427570964, 511.64229377298665, 511.87931005076649, 512.17168352687179, 512.4642423363731, 513.33703334148197, 513.37542722796866, 513.74948493181205, 515.4548105390827, 516.30061518096852, 517.09090885897774, 517.55745189144102, 519.60494597905165, 521.02982726541188, 521.07888050592192, 523.2374266084056, 523.80598972763391, 525.30282117153422, 526.51397824544529, 530.19413441753034, 531.16421103510072, 531.837817687859, 535.09040547425161, 538.01005464636603, 538.88876215483549, 538.99556827198694, 539.66916178885572, 539.90076491045659, 540.83278716242125, 540.9877777815974, 542.11229592068037, 543.50992075342333, 545.24411296333517, 547.75139433561878, 553.92149419746886, 556.51185815983092, 559.76829021773665, 559.86875827356891, 560.3140187902892, 560.64331557738626, 560.99532191078345, 561.33215663317219, 563.42784933043481, 564.77539337626104, 566.72417400616905, 566.76133865600696, 567.59316005543167, 567.81853456572321, 567.97600543630153, 571.42276200501783, 571.73918335691019, 572.48591544932776, 574.95012739687377, 576.61727748292196, 577.13209214201163, 577.35712015880347, 577.91570241439547, 579.15828146597846, 586.77109628188043, 587.29840577503387, 588.03966259701463, 588.35516561181419, 591.3742361734511, 592.50943726596665, 592.64780007721947, 595.06700237682207, 595.50977034519804, 596.57721729011553, 596.74277233397902, 596.88393325710251, 597.61275462239655, 597.82144184294691, 598.15317103552252, 598.88387314370868, 602.09558898414525, 603.21829648005371, 603.27214061903112, 603.7893657284327, 605.61786266111926, 606.17625235081448, 607.07308999115139, 607.62512004468158, 607.65452848124426, 608.06738232106272, 608.15568961233964, 608.72443930734141, 608.93233300907571, 609.18854418538035, 609.24370892470415, 611.83928388971549, 611.86355794876999, 613.05037392657107, 613.75107777675044, 613.9642604625252, 614.69201465563037, 614.93355585404345, 615.16202715561462, 616.92434360542438, 621.56252009059995, 622.78537071254971, 623.43157726929564, 623.76848677940063, 624.79372474100364, 627.49491958967985, 629.16462905647245, 629.5962473383114, 630.710397645081, 630.74836252884234, 632.28531220676439, 632.45952706654521, 634.10010762083868, 634.16279093077515, 636.5671140943042, 636.71243415619688, 637.06784698132265, 637.41294334936185, 637.95990251405215, 639.03815869885671, 640.5774549990241, 640.75628331293842, 641.11497469214885, 641.56283826705021, 641.62238751500354, 642.00813556915796, 642.04036099006726, 642.89266768599725, 643.98662346677361, 644.37377220120243, 646.09731073372359, 646.32597666283357, 647.14431517264097, 648.65312018018983, 650.6046029586953, 651.55022737545607, 652.81522642922766, 655.96349379152548, 656.44134446217447, 656.90647068787223, 657.19086833956908, 657.28580059808667, 657.80126040715811, 658.38088771167565, 659.33253847571041, 659.56415515151366, 660.02920956051435, 660.30122952545935, 662.90985156021839, 664.86801858668571, 665.07700538170104, 667.37120856357274, 667.8928570415535, 668.37421194545664, 669.38009007399546, 669.53383135422041, 670.741125797584, 671.49271733062244, 671.59014430535672, 673.87004398862109, 676.15701253192708, 676.54019749849544, 677.40889096538911, 678.61650570173629, 680.8619964537337, 682.62847688551074, 682.74765275386358, 683.99297639306917, 686.07487193518955, 686.76964845754901, 687.35890306980252, 690.32303158582704, 691.05710102425587, 693.38723285271362, 693.74452942131882, 694.01640801483109, 695.24542669660116, 696.67613505916711, 696.95250524979406, 701.13388914350332, 701.45634668849266, 703.28548821996537, 704.13329461486774, 705.35253084261115, 707.61057431259997, 707.85559763817685, 708.0393814323719, 708.39619347388441, 708.46538097822292, 710.13116603338347, 711.41775668507955, 711.65592555953879, 716.99826920500504, 717.40648212483234, 718.33807906235847, 718.64791588339494, 719.20167276582322, 719.89964967927369, 720.08626361714062, 720.5030100531576, 722.48003301219808, 722.5931539278447, 723.720297914463, 724.88049323608845, 725.27496788072926, 726.12491842309498, 726.43427166461015, 726.78398875739595, 727.08788760736729, 730.2047033297722, 731.07973404282745, 731.46065198072233, 731.60660876528266, 732.38695824508284, 732.69130634385328, 732.8876345226065, 734.19516188262332, 734.84948413103041, 735.30379279416991, 735.56227083622389, 736.10358334217221, 737.75004093482744, 738.60349891146643, 739.52957231217499, 739.57398068221426, 739.94172913171474, 739.9747632953912, 741.229030360308, 741.72191406859793, 742.24190443291025, 742.33092788633348, 742.70615260427587, 743.26371062015619, 743.95334698188935, 744.23415198891348, 745.70974016397895, 746.01093410477131, 746.13927301727597, 749.65250138299814, 751.26784870297831, 751.54327405344497, 751.74684198698856, 752.04340111700719, 753.1283452871362, 753.56744393719896, 755.11969191004277, 756.98659538353013, 757.02049031254285, 757.92303022843578, 758.87228660225071, 758.93299898065527, 761.20239597022032, 763.03023635899126, 764.71041607156337, 767.21833944942432, 768.21951283778242, 768.66784132518023, 768.77669149260623, 769.99040455893794, 770.31257061912777, 770.36178837369994, 770.47524798840209, 772.64859134191056, 773.34023070766011, 775.1165673043198, 775.71590253694615, 776.79769510080098, 776.96650663500191, 778.29383405641283, 780.93724246669581, 781.10570842563436, 781.42057913964436, 781.49224246161248, 781.54371056316984, 781.90602277193011, 782.21304107387493, 783.06880671523345, 783.74498353192507, 784.24689799277269, 786.40004129619911, 788.59019175053356, 788.75906331626754, 788.969867286458, 790.01593982923509, 790.1737281991451, 791.76380987513392, 792.78865701940754, 793.82981565329317, 795.11773676275527, 797.10593891219276, 797.47152071405469, 797.87288898111365, 798.73152369959416, 800.71099272356753, 800.97790193193453, 803.27370453612707, 805.28818448945765, 806.36893419398461, 809.76762693016792, 809.81381581310075, 811.96044232949896, 814.44740928928547, 815.33412915269491, 815.60865448887557, 815.68690088721235, 815.87932257928776, 817.45018660982578, 818.58861939305734, 818.73267705604906, 818.85092089306534, 820.14932968054381, 820.84312302582725, 822.57206975881161, 823.03723294568545, 823.53738139783297, 824.2503914499647, 826.41851950575438, 826.78429806114718, 830.03519429376024, 830.95700609113271, 831.07185444635547, 831.42229274775229, 831.51701643977162, 833.95029132501588, 834.42521296994767, 834.75756631499178, 836.44337172084226, 837.58843038956513, 838.25805982991926, 840.0912503385664, 840.7749780303584, 840.83513858456865, 841.01259349756049, 841.26975722001941, 842.65568338223864, 842.85697715452864, 843.81541029258108, 845.1188912971794, 847.03984069170042, 847.65784138923345, 847.91517044909131, 852.44953581422919, 854.77334334973466, 855.80485515253361, 856.98281661842077, 857.35275400621083, 858.5420889378164, 858.65182506377243, 859.69503780334605, 860.16065831265166, 860.77965833840062, 861.56516459901616, 864.05486853362595, 864.93243125912227, 865.08652989079951, 866.38550917524969, 866.52594637443269, 866.92600749779683, 867.46200516897625, 867.90119899579838, 868.3835833848326, 869.69244520286452, 871.61652154693718, 871.7026614475343, 872.42142088845537, 873.67681211714796, 874.4727718039594, 875.00649055252313, 875.66495827318658, 876.92927116514375, 877.12395630906076, 878.06036436185389, 879.11407577542502, 879.93139345431644, 880.29642150175698, 880.87876559456606, 881.1751932016972, 881.72355312022489, 882.92276179896362, 883.1828754706637, 883.33928578876726, 883.89057261237838, 885.71524723170262, 886.31020077235326, 886.9902858304979, 887.11835026238043, 887.31794488107607, 890.8255685117241, 891.01941586901296, 892.2316585594433, 892.90581924201092, 893.41623623995201, 893.62127076448974, 895.02683902593185, 899.33624638458798, 900.14514202390421, 900.76633098151535, 903.26397598043479, 903.73930658743154, 904.64148889056321, 905.06795634527725, 906.55890517618934, 906.69989671827057, 908.30833266916545, 909.89416492834266, 910.44391944186202, 910.61075096297122, 910.70080300861946, 910.90540340882308, 910.98665739919716, 912.20602982333969, 912.38635362254365, 913.58741763636658, 916.87374048425158, 917.24357121135927, 917.63341781527731, 918.63288225489009, 919.30814253886103, 919.54435864650713, 921.19640250275336, 923.22696988210248, 924.09320412500051, 926.18306775878887, 926.81443145519916, 927.85554623815494, 928.53972150289815, 929.81674899240909, 930.02234834190779, 930.86026849339362, 932.03415427436232, 932.41959396599339, 932.63700087128007, 932.92142003892923, 933.4138392393703, 933.49655920935027, 934.51967188050423, 936.94205338500012, 937.43688470048244, 937.62092152063042, 937.65860859233624, 938.08367865929301, 938.10843224378743, 939.0494552267636, 939.19109400011257, 939.3136433902323, 939.5263826989368, 943.32537623549115, 943.46701048218779, 943.69384694268717, 945.1163326861564, 946.88783521608968, 947.36012652810916, 947.4063087927899, 947.69317654668509, 949.06389042292494, 950.07371910293841, 950.79838917334985, 952.61765183658599, 953.09240655877795, 954.22626966965834, 955.15592299334651, 955.6425918841278, 955.94249267963096, 957.13424444485656, 957.46532614989667, 957.73087647535885, 958.38208516409657, 962.86357995433548, 963.6109709919001, 963.92671751780267, 964.83226758647891, 965.94932499902222, 966.41395307058247, 966.6138817259116, 966.69692180696848, 968.70974603636114, 969.65307427616096, 971.61968656258318, 973.91342084789289, 974.64377825427857, 974.8200046784259, 974.94319010191168, 975.66862482415797, 975.94140102331687, 978.25284731952388, 978.30890448693071, 980.96965842010729, 982.82475985105748, 984.06828696140815, 984.58047757851273, 985.41005143137784, 986.05951695067085, 986.23981438866349, 986.343947762884, 987.014297077175, 989.00448814860692, 989.36433764504829, 990.26286828698915, 990.93514132644589, 991.60064880758239, 992.48207932024127, 992.66438512087871, 993.49330379453852, 993.5862883157987, 997.26576746930459, 997.96091138227359, 999.39852545498775, 1002.9581267270222]),array([70.833320539371087, 70.881521624954928, 74.056006849570593, 74.169904438967265, 75.195778343507868, 75.275464672653627, 78.397659656226622, 78.812585811930305, 83.642046303031805, 83.936096410019402, 84.793638235383639, 86.558419201041914, 87.832799217368873, 88.285653025676723, 88.658011148219259, 91.014362383772138, 91.243464335967303, 91.448884236911496, 91.813910082071175, 93.342618816901805, 95.81511979466184, 98.625842829527315, 99.240950723078839, 99.917881916292274, 100.60800518737345, 101.8663487315583, 101.92040859096028, 101.9915726391776, 103.16877503416346, 103.78737412873019, 103.94335689304431, 106.58947557103269, 107.02993704136911, 107.20655322268804, 109.0902544938921, 109.32668799386589, 110.07543128243049, 111.02626046574181, 111.58589040509528, 112.84634727587762, 113.74305430208751, 114.5931496291953, 118.31709079624083, 118.60761161938142, 119.54460470882786, 119.8050585110347, 120.39910417304438, 120.91621251139651, 127.47979526354202, 128.37316934066001, 128.67758870323962, 130.01879431089517, 130.78379182459847, 132.00605189755004, 132.40104390920951, 134.59852044343086, 134.79654312996874, 135.5752845135961, 137.90829845009381, 139.61336944703962, 140.94100391184531, 141.95806063027757, 145.05561827077358, 145.35601151048775, 147.45014450997928, 147.59415276751176, 150.57352410071837, 150.63272223466285, 151.20926094224563, 154.52075332626436, 155.41552344292879, 156.95356519544222, 157.23553979670905, 158.39647697109257, 160.48784974100369, 162.11023500778296, 163.48585744355179, 164.24538155862658, 165.5037850202626, 166.3601768531453, 166.51340123059745, 166.64459404627206, 169.5366033014455, 171.66867116060101, 173.00229625427846, 173.71848771093372, 173.97786357069205, 175.11588670820004, 175.58743199528888, 175.7506874892531, 175.84977773331897, 178.20788387040119, 183.60581149777906, 183.90332084211758, 184.66419172687367, 185.1150237292515, 186.28379027106101, 189.41700806317385, 191.5811989726202, 193.01687003085644, 193.15817617972334, 194.81988022206042, 194.85679159434855, 196.13123607849943, 197.21269114073525, 197.78511574248029, 198.82617348631652, 199.54788468978867, 201.07354702443428, 201.55602528292306, 201.77080647761548, 203.06600291986734, 204.84033555603153, 205.10415474716029, 205.55113208576728, 206.32816361250246, 207.02968956781294, 207.43318694740179, 208.4256410604811, 209.71237924769653, 209.88491295689386, 210.26198480696141, 212.92934185611824, 213.0003866657554, 215.38105482706337, 216.19852458659489, 217.53803308240637, 219.20046575789297, 223.29885915355879, 223.84111264821354, 224.69186408400341, 225.05810863479246, 225.4071061069138, 226.11119468826934, 227.19806389864786, 227.45948099598078, 227.69436712624437, 227.79589154257158, 229.27230115977724, 230.04626041126596, 232.13625403603919, 232.27160518777359, 232.6933559023322, 233.16643934625691, 233.8918509377273, 234.72320299934796, 235.55151312241949, 235.93409470696281, 237.44336107117348, 237.65806545443897, 238.18283385567091, 238.93803865645299, 239.28476755236099, 239.55597914490812, 239.82274081819742, 240.92555995474549, 243.01070494485083, 243.37892042014994, 243.89679737204119, 244.67996739856261, 245.14672212398543, 246.14134329746449, 246.42034946822562, 247.28672436997951, 251.41256177396909, 251.95505540784575, 252.29547372838718, 254.00914062717769, 254.85315752493693, 255.42560217353841, 255.47174747655993, 255.52548260110504, 255.83336830491541, 256.31854952167447, 256.61297884243356, 257.41373044712032, 257.54750596887851, 261.29413178961562, 262.25348107296037, 264.34687799688709, 264.91320785100879, 265.70030238401682, 266.21224124728468, 268.94654385709521, 270.08814286654871, 270.80202116458855, 272.64079646601942, 274.59489670015341, 274.63451186332475, 276.03947183146414, 276.91163734584524, 278.27972716156052, 279.18227933498991, 279.75253850789039, 280.38355681885446, 283.75512277079565, 283.85891589201793, 283.91066429794779, 284.27689513216291, 286.0158208180618, 287.53133320263925, 288.4855392217105, 291.0201024710243, 291.15839812119987, 291.27294989347359, 292.506204347422, 294.68442772254065, 295.55729931919842, 296.79190979070484, 297.00296983991706, 297.98336073267768, 300.28348131787379, 300.4837941879079, 300.56491498487867, 300.59826950126512, 303.83564956421702, 304.15723537567362, 304.2771136309463, 306.61976780769686, 307.33697375592055, 307.56063095866762, 307.60809206053432, 307.97294119312187, 308.24914350403873, 308.42528228293764, 308.53937530574535, 308.68828959788249, 309.69493110118503, 311.15310548339869, 312.67305336910198, 313.46406867356205, 314.20969578237708, 315.26054552859074, 315.2914744967897, 316.11188773373476, 316.45802013138615, 317.20233345603583, 317.22251121517877, 317.32063303613523, 317.62120831561964, 319.42358244287828, 319.46311522804183, 319.77546324715718, 320.93958521951197, 322.1493293818009, 322.85391366550795, 323.55175526063164, 323.6602039033645, 325.7439459608986, 327.32305139499914, 327.62549277145763, 327.70972797636756, 329.25826014089955, 329.28370878131363, 329.74388030414406, 329.94103592942167, 331.02617881946753, 331.49398643159304, 331.9198295459301, 332.4352181329366, 333.52935984586327, 333.60764332929415, 333.65459190347428, 334.36590612683068, 334.55855810161938, 334.70245991640763, 335.06717494921935, 336.04682693502747, 340.58105536986182, 342.38014454934046, 343.3949886786715, 344.52112104380973, 344.71653563332791, 347.68866474938409, 347.84961152578137, 348.15029717666715, 348.32917704444122, 349.24946541320378, 350.40061659049957, 350.53847207943556, 350.84553347908093, 351.46192592022561, 351.69295460798133, 352.25072624782723, 352.63914410626569, 352.76182875807569, 353.19567328745353, 353.71488551906322, 354.09198077951572, 356.65316498315417, 357.10799569453133, 359.35372172741222, 360.71985230791336, 362.85510625219467, 365.34375576259293, 367.2062750708555, 367.95329397516531, 369.65955964147008, 371.32537374206373, 371.52396907432797, 373.39095280330895, 374.85265614529749, 376.02334850791584, 376.24305417966116, 376.95729287165341, 377.70570137683438, 378.27418815897539, 378.9037086701519, 380.13755714962798, 380.46847115210761, 381.56063885836789, 383.03818217372793, 383.77135819786679, 384.76886984285056, 386.94506490964409, 387.31517540390701, 387.56235315380087, 388.1964585622589, 389.05945219077921, 389.48382325104495, 389.95541004057122, 390.04942924808813, 391.32952791391409, 391.72078673706136, 392.3107119708157, 392.80781026482884, 393.78283337954736, 395.1885276232108, 395.73426347775177, 396.43138171208824, 396.69626356566118, 396.86715944818116, 397.33697728378735, 398.6125965894251, 398.7309512749132, 400.80934646798721, 402.66776404742319, 404.50671234594023, 405.12154982432111, 406.20230978207258, 406.59908256573954, 408.17110163958938, 408.22543722259013, 408.24684161530865, 408.64366956655249, 410.91164117388973, 412.27450838283966, 412.78692295355819, 413.16317041304876, 413.96150599927819, 414.90678362451405, 416.55205361156965, 418.06271250368792, 419.60145505843337, 421.18971954404412, 421.99610911823038, 422.04780640333155, 422.8430953979053, 423.37114194181061, 423.60119936969687, 426.5999014426057, 427.25961763273614, 430.23732152808321, 433.61451888149088, 435.9606745908842, 436.07020743092198, 436.8916056240837, 437.21163379101955, 437.37049389667391, 440.18146541275109, 440.4174838246638, 441.4659163593717, 442.28554234261645, 444.05808253327586, 444.09778969676796, 444.17470788165116, 445.44477107007276, 446.76178690439315, 451.1943404446763, 453.74355061102762, 454.09321590682333, 454.64786949431118, 456.5601812811131, 459.86047481649501, 460.35978128505712, 460.4910268313954, 461.4937553550044, 463.48650236496348, 463.64202363507337, 463.85053366875763, 464.95686955738176, 465.41698607932534, 467.06579225225147, 467.3457113404163, 467.91619074949676, 470.27171613389703, 473.06339473764314, 477.11959972097213, 479.7841149496175, 480.68472492343261, 481.10630035596216, 481.89378577381615, 482.153111527818, 484.20311188859517, 484.24781021669867, 484.29444602042031, 485.57111169172885, 492.39085414002926, 493.03720909693976, 494.47469624297565, 494.65968113042618, 495.89881998390342, 496.87941229572704, 497.01484650178423, 497.77989401385389, 498.51454324597404, 498.93798905307443, 499.08467403067817, 499.62630969243662, 504.53494455561741, 506.11875609890427, 506.34750073955115, 508.04726950472462, 508.50095460163431, 510.17425019682202, 511.19287533472021, 511.92175027484626, 512.03735724193677, 514.25689924202322, 515.94919102492497, 516.26188320653193, 516.748733178213, 518.61610982082914, 518.99127112337612, 520.29208627433673, 520.94093529908275, 522.55181880068847, 522.69572403641439, 524.32949482826086, 524.93865089774954, 525.9577502798461, 526.36454833051619, 526.42139970103483, 529.53719338645067, 530.88980385125944, 531.11692564247028, 531.38967214912827, 531.93829478491239, 532.40322769469572, 532.62949035074041, 532.66592242750744, 533.03601697538534, 533.31409086768804, 534.22453366975788, 535.26954789118167, 536.39811504733143, 537.51701652490385, 537.98429878415993, 540.77522728346969, 541.33310837148065, 541.91153787378983, 546.11353251165178, 546.99153378070491, 550.30881309501513, 550.71550882451675, 550.81644781247098, 553.94554458527853, 554.193553905047, 554.38670966433938, 555.20575871389894, 555.30584286699639, 555.63965177231842, 557.33688137493141, 557.78638486212753, 558.33594486221682, 559.34399705050566, 560.60001288708293, 560.84716378344626, 562.39696262390294, 562.74351068840224, 563.98566032273959, 564.32139302318103, 564.64555306483601, 567.91223491937444, 569.60243225165232, 569.74933130324905, 571.47021393981481, 572.67241924668224, 572.69900868210425, 572.78267433485144, 578.6353901710653, 578.98825060375077, 580.85743392940481, 581.54474999446325, 583.23520897633716, 583.38386741811303, 584.67732930236718, 586.99716837001654, 590.44112931601592, 590.76215253497912, 595.36214897918603, 596.88993681611998, 597.53472925595622, 599.99412184630171, 602.93372389595845, 604.1078404522608, 604.63325447095224, 606.20575512388189, 606.33929642896226, 606.85908730589654, 608.51959044870455, 608.74974878975468, 609.74103080696671, 611.45918485811171, 611.94066747584986, 612.95854617744783, 614.03856009932815, 614.49359932617335, 614.83708535636356, 619.33776992133187, 619.66217527759557, 621.25604376338686, 621.60381020828618, 623.19901736691634, 624.14811185563053, 624.73546451708762, 625.10190337096105, 626.79288850681814, 627.02395513794488, 628.80573243484014, 631.01159425100775, 632.08211704736095, 632.67207736754835, 633.37676477402078, 635.75066009288457, 636.82626140682589, 636.87551641537198, 639.68896909315856, 640.04964706267958, 640.44859451428749, 641.12495031674655, 641.21861426394412, 641.35337315592324, 641.47302196491967, 642.05703050732643, 643.80032785379603, 643.85202108604233, 645.68512749732236, 646.60262915328337, 646.6296375467283, 646.66202812466815, 648.15571563360459, 648.69108098561674, 649.96958806642306, 651.47970899535881, 653.06431631898556, 655.13975733450798, 655.54547259936248, 655.78693825078835, 655.90101780930183, 657.51525857147919, 657.847613988837, 658.08999029083589, 658.84019268384407, 659.2741165214735, 659.35156999741298, 659.92549263390276, 660.52348102321889, 660.57790876287083, 661.49068700656005, 661.71292417017855, 662.32090153656816, 665.28094225540394, 667.01982448550757, 667.0937686178446, 667.96869325475348, 669.86703446795525, 672.2038309861681, 672.39040125084659, 673.28375976241296, 673.43275875551956, 673.49976508966085, 673.97202151843874, 674.32164395446239, 675.07668667652752, 675.97353894046023, 676.29992580360351, 676.58408311714084, 677.20287569155187, 677.57541509787541, 680.07002673710645, 680.6180215766318, 681.08982728372075, 681.41104879431771, 681.44151893738092, 681.56751300408223, 681.99146418923578, 684.99959824243581, 687.04550672959579, 689.51739806817341, 690.00472378868119, 690.76473107584593, 690.99079568069067, 691.79190685118385, 691.84895660002724, 692.23330112732754, 693.38454212245006, 693.96243480306407, 696.33652841673575, 697.66180990196995, 699.47071944465404, 699.72931640147488, 702.79699459796495, 703.32184596745697, 703.50195534293425, 703.84845621707234, 703.98307905807008, 705.29918888588372, 706.09776857207964, 706.75338114190322, 708.48949385074548, 708.53561382884141, 709.26202313212286, 711.24203477684182, 711.99851147179777, 712.17866617628431, 712.88094626230156, 713.09875845369834, 714.27264268417935, 714.89901827241397, 715.31478562660334, 715.44896786288791, 715.82387652477269, 716.78117663670628, 717.23266827449129, 718.09020575752106, 718.65879961289045, 720.29697432349064, 721.5864779490546, 721.97828629270759, 724.08987899542365, 725.48826615086659, 726.29078845949755, 726.88331468443187, 728.45831217530247, 728.61131658003342, 729.58719033055172, 729.9154805616314, 730.02338017058537, 732.62008926056978, 732.75668469981474, 733.14783309166262, 736.04062068363839, 736.60650491997353, 738.01911182147671, 738.88911175614771, 739.02858155484887, 739.15772349320719, 739.71962906037345, 740.05134912620133, 740.54408206377946, 740.95796121264857, 741.48744757571694, 742.51725367279175, 745.42995002249586, 748.63053300825345, 749.07817525078519, 749.28243247024466, 749.41389955912109, 750.35431925495834, 750.5428758909818, 752.85157130907339, 753.43096367232511, 757.04164439010947, 757.3408831578588, 757.47151352998799, 758.065603114552, 759.49008163343251, 760.11619316438134, 760.431825317576, 760.48739109033716, 762.01028852094157, 762.14658490313877, 762.87727750133604, 763.12917826688386, 764.90862761027495, 767.46522137792135, 769.64787845939793, 770.59822435083049, 772.18241878633614, 775.26323749075948, 776.52632126514584, 776.73943792036232, 778.24325368642792, 778.52561633260939, 778.66929799182765, 779.25208447835325, 779.93223521524658, 780.48996177705374, 780.60067460568825, 780.78780924080831, 781.63734014533463, 782.93223078102221, 783.83777036488834, 784.51614218385293, 788.28591063344072, 789.30067665219156, 790.16055235590102, 790.97698471036483, 793.81439270684496, 795.39823750801952, 796.29030714018552, 796.42415876759503, 797.23341345148719, 797.65246385229568, 798.2163378635978, 799.04356823235514, 800.02325856360858, 800.09006063196705, 801.4084214919136, 801.52440733711501, 802.13555075593172, 803.48729302420043, 804.50029879653505, 805.3715951835253, 806.41429733223333, 806.68748923000658, 806.85621943852857, 808.92067157321299, 809.65702410640188, 809.92554713982224, 810.44934633271896, 812.07264517632211, 813.04154613020887, 813.12227518725103, 813.28742906805132, 814.18515546181573, 814.48573000700253, 815.68895903070506, 816.44837487427981, 818.14031364371306, 821.55021755325197, 821.58967685676089, 822.55343083329899, 823.08785620321635, 823.40342307528999, 823.9806236454391, 825.02550421437843, 825.59357486693568, 825.85181618364641, 825.95206764457816, 828.59744222964605, 829.58902777644732, 830.72197812025559, 831.33917187841701, 831.66843384715082, 831.76767322639182, 833.27198589831357, 833.58721213515844, 833.68023895001102, 834.29183833737852, 836.26697841066164, 837.08871987347516, 837.21537406027483, 837.31075225786856, 837.58534583585617, 838.48905875833339, 838.82296220279125, 839.1947580077665, 841.60372249886143, 845.27905957279609, 846.96248411288389, 847.33409873608457, 848.77980675611047, 849.79927067384153, 850.86502165463719, 851.25643140370266, 853.68843391224584, 856.20142243854389, 858.28053943609348, 858.59417490862268, 858.8821538088863, 859.68766240338107, 860.09771122540576, 860.8306756874133, 862.16972938125241, 862.58025544194174, 863.02008187815716, 864.16385159428535, 864.56824558403594, 865.4981819501628, 866.81065768159692, 867.84576186186825, 868.10816253356472, 868.62194394951052, 868.77695117503345, 869.72434513751875, 870.69436501624443, 874.99019810212678, 877.18921825390362, 877.54828183010704, 877.76133358567552, 878.3990248452576, 879.77112176660728, 880.12013983689792, 882.05617303633369, 883.59700305340175, 885.37602015578955, 886.15856633308306, 888.62491317123022, 889.47852939779398, 890.17576518333203, 891.41520509515772, 893.00740332108865, 894.06121473269559, 895.62374132154901, 896.1456196896761, 897.71438528873182, 898.88675010954182, 899.14459561155866, 899.84831363688249, 901.66126197529468, 902.08252600957485, 904.37934383624213, 906.90915743540893, 907.53305028175487, 908.06899396386746, 908.1268985627803, 908.39194713230825, 908.473430897973, 908.96424514983369, 909.53807008199658, 909.63730976841521, 909.81867133720255, 910.06186463341942, 910.55065072087439, 911.14894130337609, 912.38977042099555, 913.72085071134006, 913.92318531358319, 916.60440243061316, 916.67481090848264, 917.95569169340126, 918.22792642790432, 918.89115582953571, 921.27726530089546, 922.08303972450653, 922.70321745861872, 924.92401457748804, 924.96808607596654, 925.58261521222721, 925.9899545105219, 928.91958683300732, 929.08869549171754, 929.30914206151522, 931.63504722990956, 931.88744369898302, 933.91272660814388, 935.48262060480363, 936.37419790225249, 936.48201342585753, 938.33890885424489, 939.20049426260562, 939.25100020239404, 939.38445799675412, 939.92791626045334, 940.78854215015451, 941.14896697105212, 942.03174164322104, 942.91662784065613, 944.73764282880995, 945.03861540620903, 945.83736399858299, 946.62452880752664, 947.69442220864346, 948.53709988988817, 948.61880650405669, 949.79409338129028, 950.46463034333954, 950.90557744825412, 951.54365659087728, 954.0805304656393, 954.5901408693195, 954.65551318049927, 955.60387298758474, 957.87005548347031, 958.97398168338589, 960.36207582761779, 960.39795628180809, 961.39104866045227, 961.89202599323005, 962.93230296808008, 964.26572340860594, 964.71604172276705, 966.06887703667269, 966.29785375349388, 967.36152749641383, 971.03709510264764, 971.76287970799513, 973.31639785530444, 973.57679928886489, 973.84086236745554, 973.92721297912306, 974.33217051964732, 978.25697088655295, 979.65354283149213, 980.72937051495273, 980.82529070904184, 982.89929289464123, 983.08066521280011, 983.71757845336731, 985.19557748140028, 986.2195298759857, 986.67465916853359, 989.25567392903167, 989.44736598218947, 991.131939883619, 991.63849611828255, 991.68975545819512, 994.61812464813727, 994.72595156878413, 994.90682511603268, 999.16800917560352, 999.56235700816785, 999.7280994880557, 1000.3753153428352]),array([72.040367337457866, 74.653441107158102, 75.188048904439569, 76.057522705542084, 77.104315081781237, 78.617236746559101, 79.740086614331489, 79.963755605640529, 80.477962546357944, 80.913800511517152, 81.51489013695776, 83.167552942585885, 84.090471651600097, 86.150312698721862, 88.27478517503873, 88.37207387157649, 88.826117115180324, 89.680934884375418, 91.800539627710975, 92.328078389596399, 92.435844943097806, 95.571426441028692, 98.469581514360854, 98.8530637791131, 100.47993697217287, 101.7615880395953, 104.15918166507551, 104.65037714816938, 104.87422867281043, 105.12928809032728, 106.48619140580921, 106.80818372462691, 106.83269469501498, 107.05013864364736, 109.10058301547856, 109.8180107944227, 111.31937166371976, 111.44455712700766, 112.18161501979633, 112.80785484091658, 113.84056133470102, 115.55217120661952, 117.43713149383372, 117.87075269367632, 119.6645766288043, 120.095344615141, 120.22582299193076, 120.69938795342529, 121.24471948217206, 121.48855803200738, 122.06276238583149, 122.38403842524504, 123.83389118751423, 124.75889254514247, 125.15144787128443, 125.29513878047074, 126.01781165978346, 127.39116163399741, 127.80332434015419, 129.878650015001, 130.4036565414718, 130.44121123511079, 131.00406937639264, 131.0519915319488, 131.23271727727803, 131.45225428120784, 131.72287781536437, 133.1670133337077, 133.60104997399714, 135.11655275847968, 135.41769059518919, 137.72408999414969, 138.83864611973397, 139.65129383526923, 140.45102134891903, 141.1141994739508, 141.38819760037777, 142.82359026160648, 145.2745930761717, 146.56601863025756, 146.8499872255737, 147.60969665248717, 148.48278207861122, 148.64245274888674, 149.59723472028654, 150.74758014521018, 151.1892669158978, 151.69679046983865, 152.36248346394763, 152.81144026117477, 153.95100079803331, 155.89312871216259, 158.67194043507331, 162.14210209738349, 162.54444689590534, 162.72521961751346, 163.7509817498607, 164.47285999818877, 165.19782890958254, 167.98010300262854, 169.14369053215165, 170.23072021586682, 170.43147271670077, 171.14551554978974, 171.51788654230543, 171.56298432023635, 172.73090245894588, 174.00302895774408, 175.08347018868025, 175.74635577165392, 177.01602333397443, 177.17311893141269, 178.77964582215745, 179.31975223048443, 179.94699831576216, 180.27104295710075, 180.42866800488574, 181.02741877654236, 181.56416426949872, 182.23747290691182, 183.06971292925135, 183.62605870928689, 183.9808210559159, 185.5986392694588, 189.41564250317987, 189.69235111423683, 189.71598922751517, 189.76782640418645, 191.72120486965409, 191.95251077987012, 193.63707170978759, 195.12298493930365, 195.64777057451869, 195.93257479672764, 196.55033058693564, 197.59191424165058, 199.20064976252382, 199.36359076447582, 199.98289389969787, 202.68670122292215, 203.35004415768688, 203.42214019566373, 203.59310207032811, 203.74842027729559, 203.79735005685302, 204.20878252065083, 205.24542255815567, 207.74980011307898, 208.72696772174643, 209.35829984034305, 209.41295374349383, 209.96799825419919, 212.32814603707979, 213.82929541893967, 214.41852162341442, 214.89065279078841, 215.7372213927963, 215.96113780683615, 216.14339263378938, 216.22624176450225, 218.44937886594073, 218.47211090809421, 218.77404007044458, 218.94921458620755, 221.12637377488241, 221.32005713457062, 221.95887002989946, 222.3174692264476, 223.53362154175392, 226.86511025724641, 228.77896680342229, 228.87622734354241, 230.10182952120419, 230.393777448706, 230.77093128820849, 232.57972286116149, 232.91789254676527, 233.40666330869885, 234.73736553125272, 235.75424954721831, 236.40913302158881, 236.61749764615433, 238.32709367275126, 239.72993194783055, 239.92181695414024, 240.31031222616795, 240.37094062227513, 242.85987322702977, 243.01403702584406, 243.1372705775625, 243.57082657207167, 245.72234093470681, 246.0171672793293, 246.58636743955353, 247.2853700687605, 248.35372557497573, 249.38300247585119, 252.51493445364611, 252.97087509126354, 255.50587679930319, 255.76610202741645, 258.21635136149064, 258.71857852489205, 259.35971936980627, 259.606436717669, 260.4741533699829, 261.84288492680298, 262.78958216448143, 262.82513552979606, 263.4981857987899, 263.62665009804192, 264.19383644277093, 264.57647392905614, 265.4602087497617, 266.42077979411647, 266.9149207720539, 267.94453993192207, 268.1192806880137, 268.87271915373236, 270.35681892557051, 270.90624194193612, 272.21199296234704, 276.20519766642889, 276.55617237721191, 276.62364553300972, 276.79537729499492, 276.96965810540974, 277.11222212349685, 279.85625948677722, 281.36256583681251, 282.28259487528663, 283.44148349079262, 284.02128488820551, 287.9735540223931, 288.40302118832875, 288.67060899855198, 294.18362170913935, 296.21419440066575, 302.56407052607921, 302.60310290887736, 305.50511861116513, 306.77589975047692, 308.72788865848042, 308.99204954488363, 309.37206092643237, 312.59164095030485, 313.2044171453515, 314.79804839158891, 315.25227529835297, 315.89969074894469, 315.95994496375209, 316.41679058846813, 317.38409333119034, 321.43081223449053, 321.45235590218732, 322.1640162603353, 324.4875621063382, 327.60708854382671, 328.61525867029934, 328.85200625895635, 329.42023280610618, 331.10951583885731, 331.34564822343367, 331.79166571414589, 331.86650683004711, 332.1660378025141, 332.89664938350575, 335.35927248519494, 335.78634924712446, 336.35125802321892, 336.73751065450517, 336.76605309146515, 337.91664987192991, 339.69088898711931, 340.45924888596932, 340.56952009149296, 342.20449351152701, 343.99977175870612, 344.55999977399063, 344.62579043029285, 349.65767187812548, 350.80687486968071, 350.91450149039542, 355.1856527647443, 355.48506750058323, 355.53355114260899, 355.66229288184815, 357.23452039604678, 357.90238926122316, 358.30946829826212, 359.6753590572709, 360.98433035281874, 361.42959512536402, 362.33679681628161, 363.0683205593474, 363.78646195486846, 366.5079479025182, 366.72323290681777, 366.79838668364812, 368.35595512127747, 369.57726747249512, 369.71069855672852, 369.78679891585273, 371.22366365745722, 372.07084401993194, 372.21930800579025, 372.24606419418899, 372.5619527118551, 373.32823416215751, 374.01400737612704, 378.37815278535987, 382.66203742725145, 385.89798253552243, 386.85613198503302, 387.38128096357343, 388.66558831397174, 389.47134908860801, 390.31323595977159, 390.96759420880403, 391.70488814232249, 393.82094858651294, 395.8529346100176, 396.4777545818057, 399.37424435223886, 399.58003497175383, 400.22285971039156, 402.0573143020099, 405.79119991803844, 408.87176827756957, 409.89816088596172, 410.53134716312269, 410.84441773407923, 411.33456585588272, 411.7477404728167, 412.03461172281209, 413.25774304158512, 413.64164492185483, 413.76720085078944, 414.10144962944076, 415.68743060366313, 416.01120489517746, 416.14938209341358, 416.29538797392365, 417.0698198365327, 417.52597075174367, 418.16395716686708, 419.74786857689196, 420.9188443108373, 423.47417524514674, 423.86901168169049, 424.09609712606164, 424.65695845308329, 424.69403918961189, 426.58576957518733, 426.85103502237439, 429.67017672732982, 430.15740356598599, 430.6496248375895, 431.74590054456627, 431.88288179765334, 431.92298494358801, 433.45716842964515, 433.52133872355182, 433.70094739194275, 436.29602682298105, 437.1437131108886, 438.36613312093999, 438.95862111815461, 440.72802067412169, 441.10943384922996, 441.24651393987864, 441.87701209783927, 443.31081524620356, 443.41592314780547, 445.82954653597977, 447.48416517568199, 448.76353719541675, 453.02283056458924, 453.86092523471444, 456.69377642031833, 457.8615167297304, 459.32477007232768, 459.61949046444443, 461.75307838221062, 462.21672798565004, 462.33790375733474, 464.03672561300846, 466.87353708562824, 468.1347874842071, 470.5140896602324, 473.09564715127613, 473.1775137362535, 474.21501118627009, 474.38152215825494, 476.43491917498926, 480.64944677239311, 481.06761269239979, 481.58323306701959, 481.80162292426866, 482.57189327395753, 483.09883876770954, 483.23084223746957, 484.02808780607273, 486.7105836793902, 488.46110427924896, 488.87511916934619, 489.65711949208776, 489.70990954008539, 490.47691839990699, 492.46287772512864, 492.49913825032473, 495.76325150308378, 496.70897269307386, 496.89221069989526, 497.43065726529846, 497.83014182318658, 498.26792703691808, 498.33664841819984, 498.60759003815878, 502.74704037731533, 504.7290453399458, 505.69374955071612, 508.39488789152557, 508.99715179858833, 511.0355177929236, 511.2057267860024, 512.68980852227162, 513.22595516830029, 514.21270870002354, 514.63009156516, 518.88637234086775, 518.92671265367608, 521.86325904704734, 522.38008102488811, 522.40162630495433, 523.55635447221982, 525.11695889574742, 525.96352676986976, 526.1531869964291, 526.49752136450604, 526.66420709637794, 528.14093265636347, 528.67621748878128, 529.74441701640694, 530.51493328567926, 530.70361055308956, 530.97887561397988, 532.2555826416924, 533.09161139528317, 533.78015061706856, 533.8437050237153, 535.66495063094089, 536.03551486669767, 537.92963034995955, 541.28489662890513, 541.83212887316495, 544.05505428651782, 545.49812231420071, 548.36402794475839, 549.20869420614804, 549.23241736106445, 550.44074472876684, 551.57649935315146, 552.31394474419312, 554.05077424879858, 554.31531264407818, 555.17857934599544, 557.92011203734353, 559.15478806323142, 561.0361693607374, 561.06146048633309, 561.21724895497357, 561.83250385106362, 562.79409005367586, 563.78343985664844, 563.94517381831736, 564.26930215738651, 567.46669758108965, 567.82662234116196, 569.06666952313287, 569.23501712570146, 570.23576705610981, 570.34820204292384, 571.0838137333177, 572.99008562561323, 574.21742757658558, 574.99847286724082, 575.07118489212098, 576.49799006518447, 577.416680509554, 578.70197602552469, 579.3011798877734, 579.84118609160384, 580.0393736520856, 581.7895455361803, 581.96570665975003, 582.98199471177782, 584.48457297085054, 585.04821119353358, 585.44947055509897, 585.96592674354258, 587.31953296925326, 587.49592022236777, 587.906565556121, 590.70807779740255, 592.18084446585294, 594.31543349977301, 594.94946355121976, 595.65505078690876, 597.24768598328876, 598.1943140087094, 598.87661223368923, 601.0780924621406, 601.1889193199786, 602.41609212671005, 602.64059065654499, 603.41376158700325, 603.78362094037982, 603.8192868335359, 604.91988396983311, 605.4651318458682, 606.79309578931623, 608.1174372275043, 608.26157825273697, 609.46907712092036, 610.66165020714357, 611.22442027665227, 611.56130847693044, 611.91809149634798, 612.77759500164325, 613.25319094106192, 613.61577681399763, 614.52934203317682, 615.45796891438408, 615.84821454197095, 618.92060038830994, 620.63119365592422, 622.15171756724806, 622.80758925767054, 627.23617985081341, 629.87410724503809, 630.43959006509124, 631.46090990840617, 631.57780601046045, 632.09026187221104, 632.69114525985435, 634.97236679167349, 637.11498659660981, 637.22075395632635, 639.15261571382393, 639.46982003381845, 639.60735566546884, 642.49328604915513, 642.88036187779744, 644.41324400206497, 644.68380829164971, 644.73096263850289, 645.4726180413478, 645.52455027321616, 645.6385017503037, 646.76108270231259, 646.89696265548935, 646.98149477258573, 647.83847043731816, 649.05709162596543, 652.82767060669755, 654.58269840591822, 656.650598805492, 656.72263783085134, 656.96793555291106, 658.03189315775944, 658.41544823434015, 659.14024379614455, 659.43059886522337, 660.66228880580866, 661.55037536746636, 661.93548498823054, 662.07253475901803, 662.6605151255352, 664.61003495228874, 665.14079137102249, 668.60096599152166, 668.97654875826117, 669.05566264822437, 670.04888459068536, 670.26227885623143, 670.86851410394161, 671.33196422721289, 671.87739697575125, 672.26704707930958, 672.75002885261256, 673.35489776132351, 674.11463309317105, 675.96944832907957, 676.93790146891831, 677.90510387936547, 679.4955969044488, 681.4673322117518, 684.51856816792201, 685.55491070339747, 686.65783191377329, 687.41715018114303, 688.76779672486953, 689.20167978018344, 689.51165010213106, 692.81676393291525, 693.58039008443302, 696.38308322501427, 697.50528534022556, 698.5214886832531, 699.69907485278372, 703.14831857072272, 703.27739271435485, 704.01172952447337, 705.3877145825661, 705.43589157141037, 706.07463192955345, 707.8763546537682, 708.2062869195621, 708.85534696181799, 709.35276846001352, 709.4351719183494, 710.36300022894989, 711.76820026767609, 712.41845575191837, 715.40952729939738, 715.73717483974053, 716.61511109273283, 717.46253028332433, 719.04589850351397, 719.66908161113565, 722.81775436806947, 723.74296934973802, 723.8732377207582, 724.089259543504, 724.22040972344143, 724.81647974394002, 725.12771946853036, 725.5588798422126, 726.11964234570678, 726.65060545900133, 727.55260611602932, 727.98229237782027, 728.46718123434243, 729.2315349480042, 729.92483572408685, 732.26716322365621, 732.35110335539548, 732.40909074925094, 732.6734716426588, 734.44325955249997, 735.26702860835064, 735.64105414136748, 736.3084053929224, 736.3393615367869, 736.73207376700532, 738.526195013196, 740.37183175422933, 740.93067269465553, 741.17108819433577, 743.01376738298529, 743.09631167417922, 743.862364101107, 744.3173088914773, 744.72304004928151, 744.96571121338809, 748.62744201450801, 748.69095028121728, 749.29999060461807, 749.45376075833371, 750.60615422721139, 751.27464730849294, 751.56501419575295, 753.47780921368314, 753.6662896180095, 754.45910011762533, 755.22184626843239, 755.67267911148758, 756.66490438426922, 757.62957631595646, 758.92732288248328, 759.74015466319668, 759.90812057118171, 760.74604702989609, 763.90708356663026, 764.44572084113258, 765.30364462650891, 765.33689205023597, 766.49151593491115, 766.65899672827811, 766.68849031539958, 768.79681230408187, 769.54873614151256, 770.05689830113761, 770.18796308007506, 773.65318327638477, 774.98106377362012, 778.2932376654868, 778.44998151917173, 778.50379637335948, 780.35293046778577, 780.54873736868797, 780.8594311518234, 783.45659796375662, 783.59254695829168, 784.17019683802687, 784.38208526674555, 785.41984236853102, 786.2392261181817, 790.95237273558075, 791.02989119756774, 791.49859131465382, 791.82817091726281, 791.94560017070819, 792.63835115648124, 793.34448802155418, 793.6691165162805, 794.17948663358993, 795.58982319567406, 795.84488900067004, 796.05917290362106, 797.45519897733698, 797.75984936233579, 798.14225761896898, 800.16181116365067, 800.73751762079655, 801.77088599495823, 803.43247231864723, 804.2089546005634, 805.01528263811781, 808.85348821708965, 808.91598437906111, 809.70454153101048, 810.90395074330775, 812.4377812903972, 812.6705052367671, 813.10475114378448, 813.58938731511705, 813.91862045922107, 814.12224718883169, 815.9833436768165, 816.20498908640866, 816.78548853635891, 817.76370507846093, 819.84810665451198, 825.49378874907018, 826.08662960146046, 826.51053973079513, 827.22853199000247, 827.54112470635232, 827.82186179463554, 830.4860440015733, 831.10994669280012, 831.35553328645426, 832.57539444561735, 834.08894045982765, 835.30229011283802, 836.15115989047558, 838.46168574400042, 839.57833520580323, 839.69325785296201, 841.44284172753419, 843.68662253425941, 844.17115027765567, 844.3290396124039, 845.69833784212483, 846.15623136753743, 846.48389551412504, 847.89845021230281, 847.96360307869838, 849.80442633670634, 852.2503465531679, 852.34879435513483, 856.75050644419127, 857.08961646898751, 858.07917868846255, 860.89595073899295, 862.65127483247375, 864.56229934461885, 864.73238257201263, 865.13944183708827, 866.3857226230524, 866.66319625060157, 867.87441160990431, 869.78687351891335, 870.85310344979905, 872.8855783931092, 874.98096609382412, 876.41744909545457, 879.97044644731227, 881.39405855343068, 881.94892983200418, 882.3577562736084, 882.52907749088126, 885.94426427172925, 888.02826687929064, 888.49640950060052, 888.56713311117915, 889.17720009506479, 890.77926623907695, 891.61316517958107, 892.5201685667987, 893.01968442853456, 894.87149281554082, 895.63800247682002, 895.76161469545957, 897.60532373224714, 897.70582215883485, 897.78909745494775, 898.19053515256019, 899.05473720055147, 899.66840656400689, 899.91100688790414, 900.12818315866014, 900.28415000117332, 901.88833927371775, 903.19397030958498, 904.44368110815299, 904.64227799999742, 904.8469178145109, 905.43752870229446, 905.61248863197955, 912.40489456189061, 913.60619785557992, 913.6989736588331, 914.01517225346367, 915.94111355931375, 916.75157319774587, 917.61294450600519, 918.17984595783332, 918.52100727644995, 919.2308321569393, 921.12839122353739, 924.31516490106969, 924.3929164292324, 924.89117416563113, 925.50463073696278, 926.06544290856766, 927.57398667811322, 928.39776311478147, 928.51899048112762, 928.85849741922448, 929.3127199784376, 931.65261052426536, 933.09745024255778, 933.69729552839055, 934.24397721207879, 934.46788235012787, 934.99197573683307, 936.32141224983206, 939.0394127056436, 940.15168141445099, 940.76746743423951, 940.95804406910429, 941.10420671536815, 941.63380909840032, 944.69042259977732, 944.82969203459231, 945.53160928889565, 945.74752923353992, 946.22776305211676, 947.45337979077283, 948.01526431658078, 948.45045714964078, 948.56869043938923, 952.70097288547345, 953.80700001533614, 954.09170082765604, 954.66969654329239, 954.84285637789128, 957.40137827073397, 957.50888827172162, 958.10179954196406, 958.2265633633134, 958.26460499752409, 959.29519257851166, 959.77862579179896, 959.81102494572372, 959.96636468102827, 960.69498696097514, 962.70319167665434, 963.36683239905562, 963.47789188318109, 964.05295180507233, 964.36333193032635, 965.23819900220519, 965.8501276891069, 966.26290836198348, 966.89725927574182, 967.08857043904493, 967.23811080061921, 967.46091060495701, 969.31073119686368, 971.4169635678644, 972.40101028763911, 976.71220878344468, 977.30563916151243, 977.81656164224808, 982.83468733918062, 983.82975431895693, 984.2824984931857, 984.3800154777914, 986.24735323402172, 987.1444607432162, 988.98533398149959, 992.71646379284789, 993.48683836804048, 995.14840501634853, 996.18821961848175, 996.72018018253505, 997.01687327273578, 998.54833868505125, 999.04665494310893, 999.44906597871579, 1001.9182905520823]),array([88.056592765732347, 89.607454569569711, 90.292742836966681, 90.670034810560097, 92.358270948412155, 93.647888081592072, 94.580111238540724, 95.071598534843559, 96.561528572039649, 98.003145489896085, 101.22702543175126, 101.31564828119225, 102.64009532869876, 103.1125593648037, 103.38875488209241, 104.00084011911751, 105.7247676941671, 106.17147868193298, 109.29649630748031, 109.69369952534294, 110.37856102512823, 111.46408564600762, 112.53447294014597, 112.56839245973963, 114.69364156631268, 115.08000100575983, 115.37016434394252, 117.34000421898482, 118.65919850767857, 119.56166922934209, 121.51916659776882, 124.13163354484219, 124.21756852453612, 124.90463544090213, 125.77016596817205, 126.11566137036597, 126.34729569621534, 128.50193828026536, 128.52253223481199, 128.65710160133753, 129.8322801201825, 130.05566942355674, 130.91938476371519, 133.99790235525893, 135.55998574930413, 135.75103286449931, 136.09902331569873, 136.515089637317, 137.73680283370868, 140.12415713860324, 140.75575736000692, 141.02683280475577, 143.43190923807668, 143.5160820525081, 144.82553436375494, 145.83182395480986, 146.50028555331031, 146.89769413630015, 149.39034255922039, 149.75552116869619, 150.76665636506459, 152.38287515131043, 153.88625342289851, 154.52700592922812, 154.5890013468053, 155.57789733074856, 158.83767954359558, 160.59696758424496, 161.04950262255815, 161.42912387924119, 161.61729281519794, 163.53347533743758, 166.64753720421146, 167.51316011334646, 167.89891568820687, 168.67106720888432, 169.77378562998879, 170.92490719063952, 171.06258658241995, 173.7823654088335, 175.7806467450209, 175.83090951931092, 178.98635539571399, 179.47097988857234, 179.82866864373611, 180.44584149838903, 180.87734678942567, 182.57845630577899, 182.71417726343154, 183.41518391693162, 184.43484320619754, 185.20157154581565, 186.66019992339571, 187.12644965554173, 189.11065909620589, 190.869999497321, 191.28013204270087, 191.92954999651496, 193.38616468681883, 195.50936410271859, 196.43864409435781, 197.65100021747989, 197.76023331030777, 198.29689442538501, 198.65346671772835, 201.14127375758798, 201.47370475325573, 201.6676591328785, 202.08643069008517, 202.92496339790111, 203.12281782222269, 207.39333257602786, 207.57604897236172, 207.74292613835331, 210.24557060442345, 210.2899573623404, 210.35513321614289, 212.21781987291936, 212.81593670185268, 213.49075841755581, 214.68331625670487, 215.10744791113785, 215.20278691906194, 215.69867386745949, 215.82715571783902, 216.691066912167, 217.85002639310741, 219.37682787388115, 220.57311530050066, 222.10134895994034, 222.15432510115187, 222.43072918164395, 223.09876479260723, 223.37290096659467, 223.44193430323401, 224.01114646380194, 224.48189066714488, 224.55515756865557, 224.66797215465857, 224.79207035271384, 224.81944272394713, 225.76978641727544, 226.70964860237737, 226.87964420450456, 226.94727202600137, 227.96556340235165, 232.89210879400869, 233.00620208131869, 233.71928307277736, 233.80185264410912, 234.1573438259073, 235.53022102734502, 236.96347010836891, 237.19521628962281, 240.82195518847016, 241.68846206989542, 242.53635760958502, 243.89080519194934, 243.91628206128439, 244.86657478510188, 246.07047306321675, 246.56941983734225, 247.06137400018338, 247.26986338120255, 249.68044497522735, 250.82103661956296, 251.1811205175722, 256.33198160324167, 256.42146869274046, 256.89182731987353, 257.35488942559914, 258.60912547776559, 261.62315405635712, 262.26714745927859, 262.44547399577004, 262.92148213169429, 264.07289955887791, 264.10358509187921, 266.6592560220115, 267.09585719501257, 269.08211528872016, 269.74448466517566, 270.46049991283144, 271.23540436315812, 271.78067999540372, 272.58743733857057, 273.57399302002455, 275.99176892607102, 277.99984403886447, 278.36097752434245, 278.71836561703373, 278.99508133345643, 280.08920694200515, 280.15086475452017, 280.53237969520711, 281.37989726961916, 281.44457220018325, 281.49315267667345, 282.41223886297087, 283.40567905604405, 284.43660640058005, 284.49264524336445, 285.47221327582889, 285.69456159176764, 286.05450599238998, 286.71758928101087, 287.9883198051395, 288.25631148712642, 289.25729633970201, 290.9562187694886, 292.28734360702839, 296.34860860766764, 297.12694209464928, 297.70011150325263, 298.44769431580585, 299.64103012526505, 300.1107652921869, 300.239952407261, 300.66230663958606, 302.04186189954083, 303.23787345154369, 303.36009044720726, 304.74103028925333, 304.92491321173588, 305.39880475500178, 305.50846147552886, 307.73769167325401, 308.89682463197431, 310.81047248775138, 312.85738020896252, 313.77684377450504, 315.243195822328, 317.3415228350658, 318.33741539997635, 318.81660675301413, 319.24562106181969, 319.58748795218008, 320.54658225858532, 321.6608570835441, 323.37050084900881, 323.48823335311687, 326.40441456133658, 326.76033980586453, 326.95648606209801, 329.12388915278081, 333.71931052192053, 334.27795808054009, 334.74384707829051, 334.83711297230468, 334.97554840065135, 335.02743440801044, 337.56658831951523, 339.786463235057, 340.20040496587058, 341.50862758892976, 341.68807676810445, 342.17199878733788, 346.17215652131222, 346.78923886491032, 346.87637504864392, 347.85012028595492, 349.1820595368244, 352.2065839305892, 352.40214307464782, 353.31955923282453, 354.50365542184528, 354.5844714178059, 356.29939230257014, 360.43925260008581, 361.91410936563022, 362.04859390091701, 364.1179424794899, 365.57336146809115, 367.42115596186409, 367.85953290198484, 370.40503017896418, 372.84196521690541, 373.72424041958789, 374.4000657474748, 376.20604614483972, 377.17450140240049, 381.16697235041465, 381.59906016655214, 382.96589373859609, 383.7064416155161, 384.42904078035144, 384.4874169496639, 384.87022344121755, 384.98940793793793, 385.26554380651578, 388.97542886556789, 389.80270139008752, 391.66772803965131, 393.06515866462604, 393.69439811890345, 393.87585901859126, 395.30240764033698, 395.650377865395, 395.82284432849042, 397.18366558302642, 397.3075560578456, 398.06294433590404, 398.21360884797753, 398.78381796564719, 399.05768093666103, 399.58905659590476, 403.02306044144717, 403.11477120392578, 403.81852281109019, 404.82795384786419, 409.63353056355885, 410.1908757491492, 412.66907777095724, 412.88010244209647, 413.11923359178354, 414.90881474149364, 415.92137018534243, 417.20624165135365, 418.79386749847686, 418.84332561625587, 419.55199799928795, 419.60559618358837, 420.42782418385593, 420.59773328160588, 420.87698772032581, 424.56727981195223, 426.58638274048002, 428.99128466525474, 429.47831054581684, 433.88766164819867, 434.37857672506328, 435.69706615871365, 439.39483519051902, 441.54714263996982, 441.65088222324187, 442.16883160172745, 442.24810545096489, 445.69712564931717, 447.2683326115598, 448.19114678270432, 452.04735838700759, 452.39745700169829, 453.15519178972005, 455.1211108583563, 455.36931259322063, 456.56343270263113, 458.00716078469054, 458.44820331682223, 458.57308506352717, 459.78054697700622, 460.22869006931694, 463.77449356646969, 463.81861391026843, 466.39338440622362, 466.65775382067989, 466.83169589559799, 466.99718781309173, 467.51488668651126, 469.09197119998322, 469.36245242243757, 469.64338227951129, 470.04459099375254, 471.88140572355655, 473.59218260326094, 474.92172642465164, 475.52840456581134, 477.08216174084674, 477.30088805595648, 477.72787103845968, 478.09630820188858, 478.29141408321948, 478.72317448126057, 479.89977994293008, 480.74515510628055, 480.86272342984711, 481.29342419094507, 481.36738319348609, 481.70943364657023, 482.60537359029411, 483.29931873544126, 484.64710483140823, 485.99086836032893, 486.34644453262973, 486.42050304702548, 486.55093129241646, 488.01952387727516, 488.28348622318697, 488.79975447976426, 489.42661879412037, 489.59231346509944, 489.94360339810225, 492.0456170079662, 492.20287173849721, 492.41674233507138, 493.37563286735565, 495.91015019290103, 496.09752938308998, 498.56216661473314, 499.1638997850099, 500.96417704144613, 502.4276991891777, 502.44937722139446, 503.27797687761989, 504.05640197219566, 505.43343486940478, 506.32758213418327, 509.03709400509683, 509.51464175098738, 509.59149314338629, 510.61864178761596, 511.10299498875037, 511.7867942269163, 512.92128646720846, 513.12652290614903, 514.02210432138634, 514.54327764712934, 515.29252637795435, 517.87022434159269, 518.03716239592529, 518.6920140890461, 519.59665354688104, 519.93377015335363, 521.73470137240997, 522.07914981904707, 522.60802211061059, 522.86082055015095, 524.89579006209033, 525.2817470314958, 526.69516248149307, 527.55513100609221, 529.13085254845066, 530.43914588828045, 530.63359200156208, 532.30507791165178, 533.89975250111456, 534.59265696631519, 535.61476725233251, 536.10681310845905, 537.12427742694911, 538.66124203398863, 539.03713734042219, 539.32810300054371, 539.47277919216458, 540.28529157325534, 541.18447615637626, 541.82313804314208, 542.43460994985173, 542.58899083911911, 543.1069823570142, 546.46227704760827, 548.70826712168014, 549.21479683739358, 550.57514346757603, 550.85341939037755, 550.94836202978172, 551.44591474492483, 554.42041061841587, 555.73848693336572, 556.38431271308821, 559.65036454139283, 559.73742118368011, 559.91747520798356, 561.41976020218635, 561.9580689316457, 565.42851986975109, 565.52990555060762, 565.94416753806001, 566.14435909985627, 567.94425447913579, 568.02488702201788, 568.35048543850405, 568.48965605047545, 569.28720195510903, 570.12722631275949, 570.19891379074215, 571.30569549093934, 574.24844178369051, 575.58059340225304, 575.67097465206075, 577.03144239675578, 577.69866036264898, 578.46894199301857, 579.88831421391728, 580.0675348880826, 582.19683844833639, 582.46239325828708, 583.38252606272931, 584.2526749148567, 587.78913927088911, 588.62571027657179, 589.13153727286465, 593.99156417386075, 595.0120182924087, 596.07948998694803, 598.38416183076481, 599.77134541601777, 603.00335425012793, 603.56796853423748, 605.14850800477416, 607.81704751759787, 608.02402261242298, 608.55832837780713, 609.16334259845848, 609.79159958197579, 609.99066859897403, 611.14398452386934, 612.31544153990649, 613.7429546329588, 616.62687810187799, 620.0041299923098, 620.53964527465655, 621.37463441552984, 621.71494486785116, 622.09594085841343, 623.31707487270376, 624.05764228949863, 624.81989005805701, 626.54794505555446, 626.78796697186101, 627.1625655341328, 627.6998938233429, 628.17029778763788, 628.22183584372146, 630.77621413073882, 634.44453767656262, 634.5426208187672, 634.91735700772745, 635.95527010336741, 636.29683872712269, 636.87896700545662, 637.93750689283706, 638.00356221095183, 638.49782251948841, 638.98675012591002, 639.13959166381494, 639.81084643981046, 639.83778337140427, 639.89018276654656, 639.97496417650325, 640.42686847001698, 640.57798637762562, 642.75312092223419, 642.85923025172769, 643.37179434727261, 643.42240620147891, 644.31386390373041, 644.64811886303914, 646.45679444083453, 646.47830758059683, 648.29979249731264, 650.5495760355991, 650.81383569271065, 651.07175915970822, 653.04728022065444, 653.98809691987628, 654.91497917117147, 656.36767837777177, 656.86299062797548, 657.74646812087792, 659.04208164550641, 659.44733046309989, 660.05466109960582, 660.19327813343148, 661.19417862696446, 663.31193175859187, 664.54936108680306, 666.48516804690757, 669.61058233123197, 669.64204306694535, 670.36853045524401, 672.6771833633901, 673.116033427351, 677.38362524893557, 678.90107929109342, 679.55117175566488, 679.7569936838338, 682.13665323902512, 683.38502336363933, 683.71555144671493, 684.52891177191475, 685.00759645707399, 685.42425514876106, 686.81918973642064, 687.01205080758064, 688.4599475498984, 691.40510929668335, 692.77760482845463, 693.94404070732639, 694.7616922987861, 694.83457240006749, 697.71341962902022, 697.94632889824061, 699.76781791002816, 699.95309811888478, 700.56275222318493, 701.88010853580681, 705.34092312863265, 705.79191752899476, 705.95118209133409, 706.55225350857472, 706.59984724367564, 707.66260762117827, 709.28085494319862, 709.35431280264629, 709.93762165780811, 710.51452658451967, 710.5409746747913, 710.72887650578002, 711.60868178649491, 712.79428084281733, 713.40818856217834, 713.50390914919592, 713.80174135526295, 714.5302941557519, 715.77436085582565, 716.18362200006231, 716.21005635921392, 716.64023581207948, 717.60565565605191, 720.90410279017453, 722.41256783814481, 723.57730924980251, 724.82558362725888, 725.04163563607392, 727.92764045146521, 728.06159071318007, 728.25802055170482, 729.69004587844847, 730.03490562473667, 731.40270366673951, 734.40724627321708, 734.46083748530373, 735.44196686086582, 735.83489487859424, 736.3126218639843, 737.6168185327906, 738.78240881603415, 739.20130103923861, 742.14683634549465, 745.24563318141702, 745.26803123704667, 747.03658099266806, 748.21691884243057, 748.41414729733333, 751.48648754516887, 752.3581505741065, 752.43888141621676, 752.97842457229262, 753.46037491195852, 754.544673754364, 754.94180211040566, 755.37531089967058, 755.86572390630488, 756.04989004845231, 757.71909398234038, 759.13972278725771, 759.47534736941975, 759.86844534398449, 760.39306505359968, 760.47500701612864, 761.16069817649918, 761.47378891694791, 761.62727422578951, 761.79464435240357, 763.77522973648456, 764.25260665998439, 768.25069140934795, 771.61068686477108, 772.07679342896915, 773.1741856020177, 773.82958390171848, 778.51670179646135, 779.04090671377526, 784.26943324338174, 785.85655514301732, 786.74316445727402, 787.4728691340465, 789.00010587065526, 791.966592359125, 793.77386087540572, 797.42498827185148, 797.96061555337099, 798.02360311089774, 803.06649053312162, 804.59733257507776, 806.51565597419994, 807.12058616261208, 807.2202436120599, 808.41333673895963, 809.69472833046621, 810.00933563574154, 811.28542966789269, 813.22393127058569, 813.58598820988857, 813.74000016324214, 813.94429874132641, 815.79294793056806, 816.16041237607169, 816.8179539697644, 818.68140100241271, 818.85030304421639, 819.33764893695127, 820.26885176692792, 822.96879486855141, 823.45876205604657, 824.84583749034664, 824.87432829518411, 825.60975084261884, 825.86554988402656, 828.66604399322932, 829.77848957550884, 832.03977609926585, 834.07942959529328, 834.39246294242832, 835.43733052978928, 835.64037020043668, 836.72142376957413, 836.84295293230127, 839.07970157638181, 840.18310504330805, 841.47322850889134, 842.97700400039048, 844.16494094205734, 844.43062737259129, 845.6600486564829, 847.39769964433458, 848.14838639141942, 848.49925456375058, 848.57819789462746, 849.50944636555244, 851.6459503021033, 852.30634785668758, 852.49773590182906, 854.09372846911015, 856.54172654706633, 856.68542562505229, 858.31968893007604, 858.89748535617991, 859.6017706872567, 863.31969305445568, 864.07244062673738, 864.54557036667939, 867.99746317915287, 869.28046579412205, 871.52395809037955, 871.83169672637348, 872.81955158186747, 873.0173354858556, 874.50268760293761, 874.90408355101727, 877.25158828713063, 878.39414532904368, 878.66100356366405, 879.91737076178799, 882.74484158515031, 883.36084236711667, 884.59712797265956, 884.6838848638215, 886.30585902364396, 886.73838212704197, 887.26736765006524, 887.35209257738859, 887.86786709714113, 889.93973008499563, 890.44469259633672, 890.82113063071938, 891.54646940686894, 892.3327198931712, 895.63696794592397, 896.09536043208232, 896.34271501009391, 897.01077182880147, 897.52553241319242, 898.06034738816288, 899.75546203420708, 901.42124475662513, 904.01625584413716, 905.04340599794068, 908.52406591786951, 908.85769601637821, 909.00163595387153, 910.40860661195882, 910.6582635110268, 910.74103839292673, 911.42816753106376, 911.99327914469461, 912.04094757426572, 912.52352062597186, 913.54389847996492, 915.45520331058901, 915.90333669698157, 916.54420918210826, 916.76690138347726, 916.83230427768638, 917.5948098873763, 918.87709238632715, 919.86031660566414, 920.20021693612898, 920.43299145923561, 923.34483601993702, 923.54474342202207, 923.71453459918769, 925.09527247480935, 927.86905722627625, 930.83726594521613, 932.09181417849118, 932.16071455182453, 933.14344759608434, 933.8186514932338, 933.91951153711989, 936.77839206145313, 937.2895097808688, 939.52110813433694, 940.55099952713749, 941.24627008055472, 942.87883087991361, 943.71029917360772, 943.74079251678438, 944.21896404372774, 945.47526770203683, 945.69311309970567, 946.26473100883595, 946.67199331506333, 949.52291618562322, 958.25240654668698, 958.60420424481697, 958.6966312241816, 959.22847558460546, 959.71605554802784, 962.3635621537295, 963.80027549927456, 965.22091720073161, 965.77722654409558, 965.88719501259834, 968.30712199018058, 968.36802095129497, 969.38659589463316, 971.21319891918324, 971.49895089658276, 971.9618216343132, 972.127930534803, 972.35865791754725, 972.79766634570865, 973.91613038032904, 974.05606668736596, 974.13582985958931, 977.40908634044649, 977.83426079085461, 978.48173812023822, 980.11602495637646, 981.20111597968582, 981.56393535375639, 983.46462834648833, 985.27929589281621, 985.30048572674593, 986.81512932950739, 986.86361881929349, 987.4532646351563, 988.57319481691627, 989.10511583359266, 991.51966502494815, 992.0210676414024, 993.24814838648979, 993.55726382631872, 993.92265830088559, 994.39634891824983, 995.04924592488919, 995.17285071850233, 996.55497291908432, 997.05407656514581, 997.98299949527166, 998.20152648395606, 998.77899336388634, 998.92937340312494, 999.58966652826041, 1001.4543169338319]),array([55.495927655363289, 55.587031870773835, 55.959515271401322, 56.95419543861977, 58.31521823190252, 58.762970144758931, 59.023532248079995, 59.548896589667685, 61.523690733613542, 61.566809338316553, 62.367813045982075, 64.988838189388304, 65.876356743107863, 66.702430231065961, 67.360579387529413, 67.493245276152066, 68.598066296105543, 71.41734309257933, 71.681166420040697, 71.718279726165449, 72.269428832486611, 76.10377500307635, 77.122923943745846, 77.713179879811037, 78.516728365499617, 79.696914404159259, 79.798550618892804, 79.925001132082159, 81.777457415278889, 82.103515319193733, 82.572591932031983, 82.630905079972266, 83.244397135309327, 83.356405791154003, 85.074880622088514, 85.294077977485713, 85.623175397151954, 85.702293162878732, 88.17641198716764, 88.54376135189338, 91.195140172660089, 91.409945869413022, 93.165353256676582, 93.530075248584524, 93.577031161869371, 95.836093076120619, 97.727074351522262, 98.776084504476003, 99.143058777496194, 99.241664301034518, 100.36911724049916, 101.37046484667474, 101.76822853187477, 102.34328190258361, 103.68627325003118, 104.72141589630284, 105.97918712627838, 107.16461696404208, 107.7823420603068, 110.836757762164, 116.19834228670831, 118.20252612789048, 118.42978932685628, 118.98059611289996, 122.320602561195, 122.527093567119, 123.30933761553078, 123.64959184051868, 123.79519145120544, 124.1701653292055, 126.01163363248493, 126.82267615251283, 129.24580196674296, 129.31181214232586, 130.13547412427852, 131.26547393714671, 131.52657858439485, 132.5096125008574, 135.32332138610758, 135.5011591149005, 135.93103080300841, 136.68756208005945, 137.2597176240923, 139.27091486628319, 139.33677711046471, 139.63594276815095, 139.89233861836735, 140.40844476148106, 140.65790577516839, 141.0511628619866, 141.41810416166058, 142.31051285503182, 146.414457642635, 147.35031529742434, 148.32399573346183, 148.41082309191589, 150.13451419928089, 150.73969465307175, 151.03731922330689, 151.56652592458826, 152.88803871421791, 153.56434480567714, 153.84814379571006, 155.78560706976478, 156.08043894786124, 156.54789427500165, 158.25279680397759, 158.67594707909518, 159.25758461166151, 160.39781580115292, 160.69611501315794, 162.61309985819085, 162.77546004587151, 162.81997817363938, 164.87087878544494, 166.11253811628174, 166.29925234050057, 168.19372654626181, 169.27900124739966, 171.48314080861812, 172.0860345747673, 172.3689940292839, 174.12808322053507, 174.94040779020546, 175.12611112452777, 175.67489191505163, 176.35557670658565, 176.70117540035076, 178.63999990956637, 180.11285703624739, 180.8560802816975, 181.90156706649671, 183.51663774610165, 184.10737309650378, 186.44076966575932, 188.11082472479069, 188.61626913162257, 188.65279114920531, 189.20333753282836, 190.36466253139344, 191.22454233692662, 191.78646621287155, 193.25079935522942, 193.31610046346586, 193.77354802401226, 194.88712295599703, 194.95452201736657, 195.37428532203248, 195.49738673513525, 196.28857219079322, 196.63549393470106, 197.47587432042852, 198.32490723330835, 198.52855355085404, 198.79483930331023, 199.14755578959051, 200.49716974113645, 201.70700084372569, 202.10669391719182, 202.85351436294391, 205.18968153050275, 205.6899495798412, 207.8753759324261, 208.56920050150737, 209.0273547583582, 209.96467640698148, 210.17425316748037, 211.35424639375827, 212.18271934486012, 213.78116297616396, 214.23346445151785, 214.91173230202213, 216.54814607984997, 217.89777773376633, 219.2234522637786, 219.41060953892807, 219.82946962979128, 221.30875730965784, 223.87598788832636, 226.83705061200146, 227.16072295740312, 227.92029490409311, 228.12392423252888, 230.14538306906877, 230.64903458002158, 231.05599524700446, 231.21135580600148, 232.29811660031146, 232.64753491027727, 233.80177225791587, 234.62553142340624, 235.44060246927913, 235.75627581341689, 236.33419073453612, 236.99871228805466, 237.54027927256419, 240.3154668695459, 240.37449660525155, 241.11686402152517, 241.15874732403879, 243.46210935909096, 245.29969508259217, 246.11522654730376, 246.53420989847388, 249.21416427502979, 249.86872969033999, 250.50397359254785, 250.73857004305304, 250.85896400729743, 251.26844661838129, 251.70486651989995, 251.73927074791169, 254.38063371206056, 254.57311799081643, 258.76179900042041, 258.8859627693455, 259.36243863604295, 260.71222778767816, 260.98673339816452, 261.13550133159458, 261.26513398413067, 261.51503203766936, 262.4142386182437, 263.86477633103272, 264.98807496792284, 266.63023804726987, 266.99920615848197, 267.56501450993881, 268.12125187716657, 268.80321123178419, 272.56327452093319, 273.59747139283786, 274.31152296951507, 276.91826852184596, 277.98357461440713, 279.66806449415947, 282.58997610901497, 285.35718511728965, 286.70081468368255, 287.15012834610917, 287.39044464964809, 287.81001995800113, 288.81313486312831, 289.6955251668241, 294.24012608428359, 294.59683047530194, 294.71835147304864, 295.33220319157203, 295.47707635554957, 295.62633881490791, 297.00995855368666, 297.52207981027738, 298.20796283091488, 299.43487203241051, 301.47505959045634, 303.19397807982267, 304.69513652403248, 305.57050776390372, 305.97630924962453, 312.34396609377842, 312.47937607735412, 313.79039950106619, 317.49975835318952, 318.1475736977859, 319.96189060776311, 322.57328969900828, 323.18033366707044, 323.9542568927065, 324.66047594233987, 326.56962801241804, 326.97047950566667, 328.85793269521912, 329.87343632627864, 330.30499750979959, 330.44007440616292, 331.39845874280485, 333.01636176475654, 333.88086736317473, 335.93283329904966, 336.88318104248918, 337.01925602409602, 337.64038141089037, 337.93741520166498, 340.57209117392148, 340.855609451183, 343.00910595050465, 343.06043550132142, 343.54766864101634, 344.75255920600472, 345.00549807344709, 345.84921116493661, 347.50212184225649, 348.10210779933448, 348.35824961985111, 348.75800498019441, 349.4428610488888, 353.56320586017165, 354.67189012619656, 355.22292071158222, 355.86038863944071, 356.07590884099653, 356.97790626413234, 357.91601575399801, 359.42969406540374, 360.35457166882105, 360.76146526461719, 361.22643642888971, 362.16985584181288, 362.32985078678098, 364.84560456934406, 365.21638905169692, 366.03170441601327, 370.31442089026865, 370.50355006143496, 372.7105338523923, 373.42605381967331, 374.91594945106925, 375.25281643021287, 375.95286443727798, 376.09413298772483, 377.24764243894583, 380.14626328484076, 380.84921357125972, 381.05470547446447, 382.20366550311502, 382.35929235759937, 382.86018992901865, 384.12461166666668, 384.76537596498065, 385.06493756380047, 387.00504286789158, 387.22039874531413, 388.59584801927883, 389.73554983649535, 390.25308062451296, 390.86999902484507, 390.91934895912169, 391.78905246149628, 392.34485953879118, 392.36932343997142, 393.69826002980216, 395.57107492873246, 396.82833288164113, 397.24448358093611, 397.46150764589117, 397.85418099938346, 398.65592631261001, 399.29117917895411, 399.58208811705771, 400.22922692323471, 400.75915506120657, 401.12164228623726, 401.2656328463446, 401.47299242122375, 402.96526915642193, 404.54164497999483, 406.1675784851592, 406.39644441610318, 406.7853985709753, 407.07285383615374, 408.07654963671479, 409.3368015030598, 409.45042025450044, 409.80751935732468, 410.43662810614495, 411.57379574038885, 412.23746986777729, 413.00787795234567, 413.08662877136783, 415.1385892151215, 416.32564402056124, 418.42953303029464, 419.67234310731556, 419.93760230249922, 420.50768410775959, 421.16528562173119, 421.91902360067928, 423.13520952581894, 423.38162081963435, 423.82756188662125, 424.9497996093861, 429.29536014259736, 429.73580076158765, 432.03074398442573, 436.04966036916142, 436.36832428555579, 436.96580773754539, 438.15793901400781, 439.58267428293271, 439.71261466623253, 439.92434454395567, 440.28599997679862, 440.81506366785294, 442.37068498614872, 442.64444198337259, 443.02080596525769, 444.49614378975809, 444.6480639418748, 445.06776672474808, 445.12783403976027, 445.76440530645226, 447.25478363595784, 447.68233034670561, 449.26978696731766, 450.05176845319198, 450.35905151266684, 454.08252538376013, 454.16706854860479, 454.26430760235218, 454.35914642027348, 457.06156692883451, 457.39820492061097, 457.47206916863951, 457.77848494878657, 459.71254936509598, 463.13817880599339, 464.22874685493605, 464.32329223349404, 464.63166867413355, 464.66418270120749, 464.80808689497707, 464.89329609374624, 465.56376712078952, 466.76761185537697, 467.07876476665314, 467.20181343559608, 467.40903970559242, 468.45998464389424, 471.07154671666711, 471.54546041079254, 471.60634018129446, 471.73485211452811, 472.89617571931853, 473.02831225780733, 473.71591641311767, 474.53171760342758, 476.27105438961814, 476.56160471069848, 478.05220927718756, 480.11107875455599, 480.32371885817133, 481.594081034407, 482.48603645581682, 483.57948263113406, 483.71550367439858, 484.68450358159379, 488.02858430654197, 489.2082183606222, 490.68466995309325, 491.90050331088065, 493.16052588549115, 493.66970891026227, 493.99376229945779, 494.29225941084115, 495.67931844790365, 496.40005984000771, 497.41824863483242, 498.60150817248007, 499.10529136191241, 500.62078195913574, 501.32775970070844, 501.70264435493476, 501.78582350646496, 504.13217247470521, 504.9914114377749, 505.43816586525105, 505.52725465752911, 505.86663973445985, 507.53326596538335, 509.53344426239056, 510.29912268271153, 510.77392906436188, 516.71374575651021, 518.48006330885562, 519.64819190631488, 522.90892576728004, 524.80967897710968, 525.57986990753545, 527.36443878424893, 529.76182168346747, 530.14299673964433, 530.24985170326602, 531.93025118478408, 532.79022110269023, 536.29800584642362, 537.53943929138848, 537.85937032011304, 538.29225683900461, 538.34686582818392, 538.59229269692185, 539.88543620493829, 539.91083671556635, 541.85501607428034, 543.13652152037457, 545.07845552091783, 547.08025542884116, 547.42470913834393, 548.13680474186651, 549.44818828425537, 551.3212964111483, 552.40488521497548, 552.79581342072186, 552.89902993355804, 553.11579414199355, 553.53720646761428, 554.87402568772654, 554.93789753319334, 555.79437847646636, 555.99069331657881, 556.55301392250362, 557.51192632238372, 557.63552084655146, 558.68817264960433, 561.51749652949093, 562.54490343330383, 565.27260456071565, 565.56601006997539, 567.21457896108461, 568.50183105761437, 569.41289807365467, 571.12726494478841, 572.31136263664632, 572.38066978796246, 572.62253050362597, 574.06205720053094, 576.22009546621314, 576.50330389690475, 577.12676319302852, 577.82269397284824, 579.62295191118176, 580.01177116948338, 580.29191588404046, 581.24542692829516, 583.77061231117818, 586.96193256035679, 587.64753587230189, 588.9800606658938, 591.0239225896205, 591.98766144356978, 592.6304099343696, 593.16003141840179, 594.25395342732929, 596.61648818561468, 597.78386956598149, 600.72437356539399, 601.48976855169656, 601.84683318293742, 602.54674540533858, 603.91357526511536, 604.71486590774498, 605.12739762987326, 606.22028455419127, 606.78626178632419, 610.15011247643304, 610.24505838660093, 611.16191124497175, 611.34784718999219, 611.53030859488354, 612.95606261308978, 616.09428592826544, 617.05753672694345, 617.73932494014514, 619.83678329401357, 620.21626950584823, 624.5267759564083, 628.0115493193191, 628.11891996060319, 630.11251281503826, 631.17544076920387, 632.3303884428293, 634.20771586168735, 635.50389458343318, 636.69269468563334, 637.43122853689715, 637.54806273768145, 637.93287406551508, 638.3983685435345, 639.13180510801817, 639.46596110218888, 640.88792661705236, 642.16946118336216, 642.83070150941546, 643.37808862286727, 643.67737909738969, 643.88540857916462, 644.4552816068948, 645.72732118789236, 645.9163155517632, 647.40574126188517, 647.80417536708944, 647.98665901496383, 648.54619170190188, 650.2825370822593, 651.159409304213, 652.66326502388426, 654.09288024089858, 655.25178553025637, 656.11216702750858, 656.24063102751404, 657.7789708798831, 658.07465327494003, 658.19075217495038, 658.52742463844106, 661.74888962539728, 662.07335428148258, 664.49790861462418, 665.43307232820644, 667.61011712195136, 667.93609423152975, 669.14725714805763, 669.97025706143575, 670.69585742785296, 670.75930000432197, 672.62353802788778, 672.68658580690487, 672.96346612251193, 674.27008030114928, 675.25358507506587, 675.56229417306179, 676.05196020786866, 676.25556879141391, 676.34439313815028, 678.48288680219355, 680.22858793018997, 684.1550183579775, 684.23229019568112, 685.86156595448472, 686.89064796521586, 687.84859262183556, 688.47403971887059, 688.8027531286491, 690.31699233696293, 690.65327444699415, 691.84545020245105, 692.76074279755358, 695.91372208470113, 697.71715485231709, 698.11610709280137, 698.93167607969065, 699.26254933178154, 701.35062318504333, 701.93509966239264, 703.1667219708936, 703.44584678940998, 703.6794790744392, 703.70400576121642, 704.24756109258988, 704.85866104559932, 705.47058502702214, 705.56703225139506, 706.09145993136951, 707.15448966711165, 707.4346966227439, 707.69306487998347, 708.37964258011857, 709.19207874295785, 713.99193367154567, 714.91294004371343, 715.56668656946761, 715.78791116991817, 715.83677579889786, 716.36860740425777, 717.98125795643909, 719.84325524204371, 720.49564635589377, 720.89396132553861, 721.0894675078473, 721.78067328133091, 722.08398831263514, 722.33682907671732, 724.08609395435781, 724.2890313972656, 724.40387726463882, 725.51615779944473, 725.6703088317372, 728.44111432802163, 729.3234521299662, 730.67006261617234, 730.69716791326971, 731.76535701352827, 732.23432613467912, 736.06921484433167, 736.73029297096616, 737.26226242055361, 737.56087831568971, 739.62384273037287, 739.65938555944456, 739.82717989754508, 740.69617915155482, 742.05231774945673, 742.98151602628877, 744.68486223908178, 745.29401191530064, 745.97118257239151, 746.04533089534641, 746.11325942988935, 746.75655830067421, 748.79576734661816, 748.97523324538111, 749.79906885306013, 750.08127592934807, 750.12262708610785, 752.234787072936, 753.04194455901302, 753.14444855149054, 754.94995568362185, 758.01600702059659, 760.75180977886896, 761.00131846496026, 763.33495608033195, 768.65391021353321, 768.68901572945811, 769.81372082020528, 769.89559368401035, 770.03039399264787, 770.33706052449782, 772.81664506369032, 775.80525544205739, 776.17993740820759, 778.19378309487934, 778.38333822140112, 779.26676322586081, 779.6058387712236, 782.31066058972908, 785.68199880596717, 786.71531829759715, 786.76641772604273, 786.95354453645098, 787.97141645727311, 790.59039241206108, 790.67693015722909, 791.01256845491878, 791.19189460035307, 793.1823031842905, 793.76175552183008, 794.79781237265524, 795.36129350816793, 799.24034095471177, 800.15799959794094, 801.83615615733129, 804.68837435499711, 805.38490164991344, 805.911713033664, 806.71124936942226, 807.80577747034727, 808.83146152930613, 813.61055184204577, 813.74254724914999, 815.35660464646321, 816.33940776175689, 818.34810921343944, 818.43607037317724, 822.38105340471748, 824.23533779683612, 824.8260505513872, 826.48698564736299, 828.29929863013717, 829.25156116690459, 830.2359314326751, 830.89925429053483, 831.27033798774335, 831.3013923270255, 833.53975253295266, 833.96090165658632, 834.11795158818552, 834.88568482311609, 835.18841786278711, 835.91039915723422, 838.80709512460089, 842.19069418632398, 843.05395639658354, 843.53091284783898, 843.58407399345469, 844.64544731460978, 844.7233700414248, 846.84048880957107, 848.04167980370414, 848.34589412980756, 850.00285068150333, 851.38035192076063, 851.99842309382836, 852.41934843925276, 853.7644721811248, 854.89557917473599, 856.53054104739817, 857.71797471476464, 857.97423315126764, 862.03727263499002, 862.48116359469793, 864.78154041499283, 865.87472942448392, 866.93356278202418, 870.83716215871948, 872.23431064209558, 872.41616018915227, 875.50284391323873, 875.53225943850373, 875.57685509964108, 875.7580123833892, 875.83458763366764, 875.85516176912483, 875.90209979521035, 876.20049596384763, 877.47329405667119, 877.70542762640821, 877.87910730041619, 878.72377018069312, 879.25267234267437, 881.36893090078001, 881.7076874966873, 881.92232154370754, 883.98523331255626, 884.29802080143634, 884.78863585907163, 886.17403604629249, 888.57141088931098, 890.16155331339792, 890.28695984786805, 891.09311956044553, 891.47652391411441, 894.15343943935363, 896.20258289613264, 897.35247170833361, 897.68501957697902, 899.21409447211806, 899.49049275588152, 899.58072026394393, 899.69174295407356, 899.82116249644389, 900.25296143771652, 900.75109353354719, 901.01701756438968, 901.89948329321089, 902.90517514425937, 904.02178458700519, 906.61983490347302, 907.28299887639832, 909.21224265932278, 910.34262932474712, 910.78756160158787, 911.81004380624688, 912.0066678464068, 912.47624415392397, 913.60628135686522, 914.61398023158711, 915.88857482298795, 916.1465207256042, 917.7512873646541, 919.69662085312916, 922.32242960066753, 923.43834492789085, 924.56649484339016, 926.26286584667446, 926.4491598399303, 926.86732991899953, 928.97328345486596, 929.51140054195446, 931.10804926113349, 936.00971545511402, 937.65970660208302, 939.22810963738448, 939.48888858178498, 939.61572279588665, 939.83208755038675, 940.32579100888938, 941.11228449593807, 941.63082520148942, 943.49500061945889, 943.6700348729222, 944.19930775281307, 946.41042525752675, 947.39452379891338, 948.02749602946267, 948.97137289807768, 950.0303581805498, 951.75497678014449, 951.9341254105484, 952.69878016426026, 952.7581372087102, 953.45739477865197, 955.0701955921586, 955.56520863710716, 956.097553091289, 956.42397629026334, 959.74974846082864, 961.02850390175263, 961.36496025613872, 961.58297677044402, 961.82777019726802, 964.36405445760863, 965.58809324492188, 967.92403937550785, 968.3459452043287, 969.24049286610182, 971.19140372850734, 971.98664399785764, 972.68616030484566, 978.10211223826695, 978.25724343199806, 978.42913252481435, 980.59392042971172, 982.41562040711801, 983.81228493205867, 985.46988829776092, 985.86246488655195, 986.83732362114586, 987.533369471784, 988.20068759500975, 988.40333855715892, 990.07308783617509, 991.10088998593608, 993.88539140163709, 993.94479744816329, 994.78681659694985, 997.23636854730773, 999.24174586018455, 1000.5477366730006]),array([73.07270556472983, 75.501985378278036, 75.909412017805991, 76.070766890865585, 76.860028274141655, 77.153577390914535, 77.526499787771357, 79.02622791418213, 79.544936137421516, 80.312345301722743, 81.344746022820999, 82.939188978050254, 83.084915642300942, 85.164867326992152, 86.124624605001571, 86.400170710331807, 86.89229968619577, 87.972590903244082, 93.420453001003281, 93.622351252536504, 94.796206982117283, 94.852382991796958, 95.199931023968787, 96.019732142948314, 96.757053572231825, 99.252145544787567, 102.02420258236097, 102.39946179136568, 104.42272986107858, 105.2267835421474, 106.38421290877666, 108.08820500359475, 109.81981220704783, 110.23099746375816, 110.57694529979511, 111.47855423675858, 115.11120922635513, 116.4794080545511, 116.63622762010696, 125.20496760539304, 125.83600021450856, 126.48189354565581, 126.73194496352492, 127.05852936016784, 127.11957979519761, 127.39321577659395, 127.57092283871671, 128.15837060325077, 128.66423928711421, 129.25332604155321, 130.05568563807063, 130.3280269993183, 130.94243100054825, 131.02168540063593, 131.14666673459081, 131.6062451133611, 133.74249416861923, 134.0174014861885, 135.48346449422363, 138.20773597192428, 138.67573619744601, 139.70786254549552, 142.29906678746269, 142.54560123725639, 142.70925008519805, 143.95354637157928, 147.96850611496853, 148.38303563188285, 148.44598958191574, 149.23420442968958, 149.93605142383561, 150.14160845898022, 151.07834288675002, 151.23438962064839, 152.48016564029143, 155.01653351551147, 155.5486892202502, 156.10859061115198, 159.06285523126454, 161.17364341440569, 162.77336741210144, 163.36459796440414, 163.94895930455658, 166.53126455744271, 166.60870318144254, 167.3183336003467, 170.65724881247155, 170.89542523194177, 171.67721224250394, 173.89380387596989, 176.4707676877297, 178.13790295028969, 178.47085002125374, 179.98408817872686, 180.17328108995719, 181.20978434413604, 184.4981818181528, 187.00210567130421, 187.13838458035582, 188.91952589094984, 189.79574437963882, 189.85691328440802, 190.26387691005706, 191.17374459186712, 191.33958346795708, 191.41259695426069, 192.81965241599067, 193.85853985033262, 195.64334701828915, 197.96635021126474, 199.04627474207118, 199.6374195242945, 200.09131402372412, 200.84167821926064, 201.20650590385287, 201.42401466055767, 201.58108691561472, 203.06800944661114, 204.59004271225001, 205.86598459322062, 206.65693254943699, 207.48479618773578, 209.84724355884808, 211.63407688198646, 211.79767214068045, 212.10125775276822, 212.97004664226105, 213.63397926590088, 214.83193088768979, 219.09344582223079, 219.19368224182818, 220.86930849324639, 221.39090967230419, 222.02682837757342, 222.67336392974417, 223.33643901351564, 224.09685754604376, 227.01134162867606, 227.59876507008497, 228.01469491060186, 230.62647588586333, 231.01831035924448, 231.25561591844627, 232.45843927572341, 234.05362774946249, 234.5256493622116, 238.51662717924836, 239.53441834285942, 241.44713340218445, 242.85252724968501, 243.80296349085782, 244.14911831205725, 244.87894118606184, 245.25055512291271, 246.08262982183314, 246.19583992362814, 246.40132608094675, 246.93205492589874, 247.96722656174555, 248.47682613893693, 250.55729533245608, 250.77978686842383, 253.02139013381208, 253.08738842018408, 253.56515582206472, 254.6785595301146, 254.71025024593038, 255.00091774972788, 256.48533473161882, 257.504194389205, 257.55771716413352, 258.55470317035525, 258.78790623855201, 259.0800520814235, 259.81002026253321, 259.94065051344501, 260.41218943022153, 261.67196179849475, 262.19188140967793, 263.24906993925805, 263.85176126398972, 264.10307790388924, 264.26956993223894, 264.59476477081222, 265.62261369566869, 267.39228503195778, 270.08235438495751, 272.09658324054004, 272.35357568374195, 273.43854509875433, 273.505396718827, 274.94593427681383, 275.34024562904307, 276.04100710271723, 277.01356916886948, 277.18173618710068, 278.70719809869843, 280.07014967845419, 280.24540029089826, 280.87520218036889, 282.84288477690899, 284.59884422932709, 284.67716322045044, 284.90271266339352, 285.22910216165405, 285.89262522700301, 286.25997680061994, 286.57951206225698, 287.07440970773877, 289.41421673463594, 290.11038887877783, 294.96233872911444, 295.40582380120696, 296.09314332206526, 296.2087041179534, 298.58752501574929, 300.02646295138493, 301.76482336467905, 303.20410787048286, 303.5901036368922, 303.99631332078906, 304.10763593920854, 305.03020224109821, 305.63238596617873, 307.76973718762872, 308.99120029661617, 309.20328732213386, 309.69239857624007, 309.97992538977479, 311.69964604845262, 312.47845256004229, 312.8927288502868, 314.42836528607972, 315.63452118028925, 317.37658760539642, 318.00225952842584, 318.77063611943919, 321.46658998352751, 321.9438744265845, 322.68668808220639, 322.83529305262653, 325.96800809418693, 326.00124143929139, 326.51920328222189, 328.17737895332158, 328.48607754664607, 329.38941220058592, 329.89115221732192, 331.47892964807397, 333.12874693425709, 333.57427107237766, 335.58631272154628, 336.90338364532846, 340.45986044569969, 340.98308637232753, 342.65029182715324, 343.09522513502162, 343.63084998868089, 343.65894471207076, 345.27670745838191, 346.49765912045314, 347.8032414823204, 347.85056208052464, 348.55925492123441, 349.25744980239125, 349.5294067779343, 349.99019225414611, 350.20275065363467, 350.70908271210595, 351.87449639713975, 354.16542838436038, 354.3711606260195, 354.52629483325427, 357.44566127255473, 357.73780793623183, 357.99508060415712, 358.11646125787428, 358.25323519094417, 358.28710991089184, 358.92569798765197, 359.4826905793758, 359.81312047084106, 360.17740899678387, 362.18051278947911, 363.43947947053704, 363.90131474697625, 365.852085194925, 366.13642918411801, 368.93099109540583, 369.97652551867418, 370.19045450933606, 370.37159366466068, 371.82982853870737, 372.53654251091461, 374.29747853034871, 375.42570310924077, 375.93661522947946, 376.54540160389541, 377.67217694274217, 380.16346529307884, 380.44997232892007, 380.51723020732214, 380.66716065231486, 381.09809572833831, 381.42666182400359, 382.65602116816376, 384.10678245048456, 384.63795675437729, 386.12317175372044, 386.85031355189977, 386.96082413577392, 387.37540629492315, 388.81455114524482, 392.97495634017383, 393.42991135942833, 393.95335305211387, 394.99495020058919, 396.48955634560963, 398.4214374043799, 399.30982053174546, 400.26092777588588, 400.790249401474, 401.87667253381869, 402.41113168412483, 403.63431702149501, 405.28933063253362, 405.83405872588014, 407.34695873356316, 407.76807759765188, 408.80719175588797, 409.18582211878839, 409.7795674655506, 410.97426541315059, 411.73624873952883, 412.45354065078533, 413.38949875304303, 416.42823090679866, 421.70648047846385, 423.67942151033265, 424.70015805866808, 426.10510617010289, 426.92042223376353, 428.5515390662826, 429.84610531051294, 430.22085288597947, 430.34122826764786, 432.99238419486596, 433.30732259802363, 437.02209336859448, 437.80241499483157, 437.90399996766615, 438.68253152812872, 441.05391891113658, 443.16944337208668, 443.78070337768418, 444.74222222729753, 445.78454233700256, 445.87290944654058, 447.69163965760777, 448.21017144803119, 448.93523704010124, 449.17860628913508, 449.34688128254976, 451.26730895512907, 451.63589289717709, 452.26793900542771, 452.34161694850525, 452.46708643819517, 453.61132153358926, 453.8482815335891, 454.04406922814053, 454.63511790358064, 455.00014724756539, 455.09329792013011, 455.12429200888431, 457.88511575540508, 462.20649376581264, 462.74727285223497, 464.34619948309484, 465.2594814975925, 466.22271881609458, 468.25914522636452, 469.21085678408497, 470.67727722900503, 470.82554569537774, 471.82833309400957, 473.92586691314915, 477.38284532027626, 478.38039664772276, 478.81061122563557, 479.14129033666808, 479.51137032642805, 482.71004998574779, 486.81803589114264, 488.10964377097264, 493.21810865669124, 494.4283918470656, 494.64857116123835, 494.83515663252439, 496.77831035470018, 497.86452011043997, 499.91526961810649, 500.60259112819949, 500.92930924029275, 501.53275226597117, 501.83143138722056, 502.44816115600145, 502.89076749415142, 502.94296843979328, 503.2784537504005, 504.67619951141626, 505.34377111937937, 506.47480677324575, 507.70772491077821, 510.10664336099705, 511.58747820263721, 512.54369525876803, 513.35654328441149, 514.96372264423235, 515.94818709691322, 516.20762314008243, 516.60140068765054, 516.88691866494833, 520.27300006065332, 520.4156504559603, 520.59830260714307, 521.79744912422609, 523.02297088438581, 524.280476277611, 524.5077321661762, 524.6854145530549, 528.27510529810786, 528.43929826884539, 529.54100964339125, 530.80876720201593, 531.61336195770275, 532.36957824424303, 532.51750294580086, 534.18150751839073, 535.82625612831066, 535.92287964118748, 536.55349874292301, 539.43715981537332, 539.87538174217821, 540.11908624525154, 541.2590369212104, 541.31748385013532, 542.0333927437606, 542.41655748333255, 542.94660734822457, 543.24479453733113, 543.69390139704058, 543.97211621620011, 545.35155699631844, 549.88770226706413, 551.12684371588534, 551.31684945959694, 551.37153438102894, 552.39003368395527, 553.52806307892024, 555.03609295211845, 556.50804581074851, 556.61295773819438, 561.5268395095361, 562.07305490113629, 562.28363792477523, 562.50116571620913, 562.9151686978621, 563.04696435039261, 564.37957409920148, 564.40392162357273, 564.88902104508827, 565.73322147277531, 566.18012719859757, 567.84658912693646, 568.6413835793702, 568.72961084032897, 568.96425772022724, 569.09990269233083, 569.67589543072847, 570.30034998528731, 571.96267338736766, 576.79786573512536, 577.8801008773745, 578.13224161498647, 579.7744819215917, 580.51231783731976, 583.45440666016452, 583.9488877173801, 585.37041842804297, 587.6425597819557, 587.73648988560797, 590.840059746365, 591.07268530187582, 591.36612133099538, 592.14143938406517, 592.60263528937526, 592.76201285985621, 594.05836430094871, 594.61266286455543, 595.14165326447119, 597.94899647330146, 598.90772208612509, 600.29141972189404, 602.34569950356342, 602.97433219199866, 604.66891953517177, 604.75429423132493, 605.26469178208231, 605.42356317542772, 605.83319791348788, 606.07156662253965, 606.14972351192159, 607.86934238517154, 608.67761134264651, 609.07311553872614, 609.52289062716625, 609.7875006570597, 611.23687259727933, 611.33382857484219, 611.91004395852167, 612.82676729504976, 613.38607003351387, 615.08660793932904, 615.19662232825294, 615.62139519409823, 619.86843032103604, 620.54200279064833, 620.74072046287813, 621.44278301620432, 622.72174354727485, 624.00250995231249, 624.1752346923015, 625.43123561144876, 626.26143390228458, 626.3656223839655, 627.86471495217961, 628.65239887583948, 628.92023600828782, 631.9778422963592, 633.11212733849993, 634.76179722580514, 634.94329249243276, 636.07910298169043, 639.85074188224439, 640.23679955993407, 640.5818390081746, 642.03017088377942, 642.7976557153994, 644.58703996178178, 645.01035559018521, 646.42211736092759, 646.59605568571726, 650.28493996917359, 652.17133978327297, 652.52499190803553, 653.97851956226964, 654.11258325568394, 655.52447124518756, 655.93398991282356, 656.15557592802372, 656.60802869181373, 657.03508181752989, 657.08328094084595, 659.42794608029749, 661.86434807884416, 662.50110630940924, 662.83069108430402, 664.46457765416631, 668.48416337887295, 670.0069974425495, 671.52323906406173, 671.91078163077839, 672.1587569433575, 674.17459013369614, 675.13812027786287, 676.46221134334337, 676.88366347863894, 677.97776050151526, 680.13889628890195, 681.13970500866287, 682.75637836020292, 685.70193858484515, 686.41827021154245, 686.72717698828262, 686.85340622041019, 687.22827751584077, 688.26417688054846, 689.10527112013585, 689.53784411980178, 690.13405077000959, 692.17365560043277, 692.84788686548575, 694.83315952397709, 694.98671337048802, 695.87661191538859, 696.42644939059267, 696.63773716693686, 698.42117092145691, 700.62669655290392, 700.8053881058355, 700.88394002983694, 700.97659348705997, 701.40452141868843, 704.15464660233999, 705.48692826450031, 708.68621283144751, 708.83519946291722, 709.75786078457077, 711.05744961881032, 711.16573659573385, 712.08192937208207, 712.30235009983812, 713.19078578384335, 714.7741546486443, 714.8165665727073, 714.97866165125288, 715.41077357255813, 715.57592620633739, 718.15230017682848, 719.7849156328316, 723.90236016596452, 724.76835591544227, 725.55597604582317, 726.43520339272413, 726.68152120541049, 726.74491881073254, 726.8817292180014, 728.21474600024487, 728.7430986549889, 729.52723792584243, 729.78048111707494, 730.05894011523742, 732.01714997742693, 732.45077274397192, 733.14819891558841, 733.46312604887851, 734.67692595804795, 734.89425866049237, 736.55885816394505, 736.60765643705395, 737.64959594001255, 737.82628324277653, 737.86789068065832, 739.02843341539472, 740.37226586129839, 740.89027246996943, 741.06151662410718, 742.75676288433772, 742.85934386285646, 743.16969422695865, 744.6765018022827, 745.16347379958233, 745.31575340012967, 745.61776070035671, 746.30586408181762, 747.94864267987498, 748.48352042915724, 749.63013461720743, 749.81870162024882, 749.96530800139533, 750.13260268185184, 755.07722716920318, 756.05913416491092, 757.03160196094984, 759.51550797804202, 759.75394957928211, 760.12270591541505, 760.7416221197758, 761.89934840572334, 762.21974905237346, 763.11525311406069, 763.47500345885987, 764.78122824639888, 766.30220987436951, 767.06475802957641, 767.30726639678926, 768.24660145533414, 768.90273251117833, 768.99010041400595, 769.89655218026235, 770.32471310290089, 770.77035354167072, 772.19404903585166, 773.35852517004639, 774.84528520325136, 774.86905497885527, 775.26448932929384, 775.33142999528775, 775.54230542808853, 776.61920586930614, 777.57709209603831, 777.63143059924437, 781.13462025819615, 782.40673044384641, 782.43366998209524, 784.86036462049606, 786.13651910355998, 786.98120846502536, 787.45207895286558, 788.73667995172184, 789.02978090162674, 789.87052238848446, 790.43645724444809, 793.17758995379722, 794.1693097064458, 794.60940761717211, 795.54765121666946, 795.79240574835467, 796.43630290086844, 797.11406052556765, 797.53272127535513, 797.86381124558807, 797.89440348318089, 799.16939525854661, 800.23186798399536, 800.47884865836534, 801.08554462905079, 801.39106268503735, 801.52231237687909, 803.31405662393649, 803.70338276106315, 804.8110454774901, 805.35280921330161, 806.47906521082018, 807.84199236908535, 808.32699603880246, 808.81948080364577, 808.84902713164911, 809.17569322617601, 809.83043486978249, 811.65848597914487, 812.28302028676796, 812.87406188288992, 813.89453151741873, 815.86449690288646, 816.6197673676827, 818.3737107131717, 819.04978338736043, 819.89820458852705, 820.08374776581638, 823.08577766453686, 823.66759639733596, 825.95369332399127, 826.79841743875966, 827.43899229003011, 831.98877939670149, 832.44767109967438, 833.30761473309985, 833.41369338161644, 834.74554865982464, 835.31094267630976, 837.16374043589133, 837.81822689401974, 839.33690895075517, 839.86908979393957, 839.91861196059256, 840.99521464684904, 841.49581292807784, 841.87831158634856, 842.49928864995957, 842.71892575323022, 843.2430856997961, 844.46561465106765, 844.61300458613266, 844.67535802312341, 844.82830859097646, 844.94479933263983, 845.58026452363049, 845.87370369847099, 846.6845037997582, 848.51037788830661, 848.5362918334373, 849.74753586142583, 850.44521892878379, 852.06984666484595, 852.27770651727315, 853.49743635223706, 853.81047596684061, 853.93035302845635, 854.304367619966, 854.96154101516538, 855.10302919847061, 855.7729715847579, 856.23247281514443, 857.08841103565123, 857.27251494294808, 858.07134810249693, 858.40989861532341, 862.38058009224176, 862.41426710887208, 863.24467911338081, 865.6302776837241, 865.98043003183602, 866.93534507464176, 868.80378359171391, 872.15728599390366, 875.76744477384761, 878.12619498163849, 878.15923107385265, 878.58362756989538, 880.02687757454714, 880.45941965179964, 881.89661000863885, 882.62883471648126, 885.35286926697415, 886.61955680420579, 887.23054492149822, 889.51269256432022, 890.1003108409908, 891.28603658993131, 891.34398047915556, 891.59458075962311, 892.02645682693606, 892.4180490386309, 892.52804224015017, 892.69396833068106, 893.5851592733577, 893.64498937359451, 897.82366990606647, 897.89533350684621, 899.892793726371, 900.90816450137595, 901.10497252685809, 902.06452151959036, 903.41266600874849, 904.40075297626083, 906.54613010705179, 907.00750954319551, 907.53970591709367, 908.21443505138609, 908.87433734656133, 909.57268618297326, 910.16118949970269, 911.19153477877376, 911.35796441106788, 912.89524587403287, 913.30366201476681, 915.07781101574096, 915.28532335781779, 916.67304244856405, 917.11976888753247, 924.72133588421002, 928.8196005387681, 928.9509516754697, 929.04764550527739, 929.93226040487968, 930.2127778361903, 930.49938635505896, 930.93834586936737, 931.50210677231132, 932.75008468426836, 933.13839578244961, 935.14554336988772, 935.54648128509598, 935.61275499346448, 936.85628552599485, 937.04898238776298, 937.42141884861383, 938.43138566319362, 939.9424361351289, 941.51821022108857, 942.98256815986952, 943.32031976023995, 943.35861951755066, 944.12472599571629, 944.64045485667543, 945.11322755475135, 945.8043467834874, 946.85710984632658, 947.55470964846336, 949.13581328438693, 951.57417674450767, 951.80370582573221, 953.14250381775196, 953.64042439414686, 954.94167923833857, 955.7022097886088, 957.55425231476636, 958.01015257923575, 959.69484967739015, 959.93586817174526, 961.94523469939952, 962.03494841057204, 962.32291295372727, 963.24706262414134, 964.14823048433811, 968.25443971530058, 969.7368478764547, 970.1849140902691, 970.88194537367156, 973.79312376766586, 974.00377469257057, 975.67363408352969, 975.71745290425304, 977.24595871696556, 980.26005388796602, 981.08405471738092, 981.45042116389504, 982.78656024257748, 982.96451996641179, 983.60665406620524, 984.76205483847002, 986.01434033116732, 986.13800032322138, 987.86429950237914, 988.86662100551337, 989.26755312903936, 994.90900580455013, 995.49190338340145, 996.7129899604621, 997.38251311079262, 998.18457123547375, 1000.6884897768595]),array([60.662502677937312, 60.73799953488831, 62.453339149355152, 62.570150318327215, 62.921980054552648, 64.307259930264919, 70.596609149025909, 70.632592003382328, 72.521970190652951, 72.543436318099296, 73.036334636983085, 73.075240772882609, 75.27853516203524, 75.568245465878661, 75.752979745806144, 78.051926200787705, 78.715246674656015, 78.970563493020691, 81.664223977666111, 83.724051409336667, 84.35060694773567, 85.303893671731217, 85.515443308709308, 85.870218789578388, 85.89671745774109, 90.548236053113811, 91.399417266839251, 91.704066180468018, 92.160756784311801, 94.579860310718047, 95.349932366304131, 95.477678631044725, 96.773516516755521, 97.214158762647898, 98.135578369725394, 98.235789970683953, 100.56191937633029, 101.16944748538906, 107.60854974504092, 107.81340419285856, 108.53033353457813, 109.67275708915665, 110.08333761688469, 110.85165936920099, 114.4453434801775, 115.87098986694004, 116.82735434256215, 116.99626624186359, 117.06414009982284, 117.22260056071482, 117.46437461199663, 119.34792026281772, 120.22913240576635, 120.51010956507966, 120.71214214992385, 121.37232093235988, 124.46522826495479, 128.57855441511461, 128.72835651417918, 131.32725877847739, 132.48809770730895, 133.13810104872036, 133.35057874974893, 134.57499804298291, 135.84068947285371, 135.86581097109152, 136.02649507168519, 136.28581018361987, 136.51319149383653, 138.55673449642359, 139.82940592718467, 140.29349490815329, 142.94377188975579, 143.1168207090092, 143.88402693013327, 144.1135883406485, 144.42573776305483, 145.17287909351549, 146.20278019063221, 147.48862187597257, 148.06381580327744, 148.65867771247716, 148.72093039677483, 149.28979787138655, 149.85287800799426, 150.31688155803559, 151.89893532336515, 152.31878791300875, 154.52051172411535, 154.62768711768786, 156.4478343177955, 156.73897858858416, 157.08798332861133, 157.23196705710001, 157.96598047962027, 158.60636860584236, 159.09630766946157, 159.58940093074946, 160.50459126096456, 161.738923325645, 162.85334981308733, 164.92854366819415, 166.04051647164889, 167.23514063522711, 169.98620836995639, 170.23918400225142, 171.31807700877792, 173.41825861373215, 173.84732241605494, 176.68451807912473, 176.84323175352625, 177.9379425712178, 178.2326417786839, 179.8834821235445, 180.76579979957106, 181.72941348138164, 183.03472166582185, 184.17948586473864, 184.35716906852858, 186.33699459206653, 186.43945015234766, 188.10515439659594, 189.10031576478593, 190.81463487576531, 191.9244752200521, 195.90681775363953, 196.45570928715571, 197.42057184835397, 198.46543087789675, 198.65180575995279, 200.74896479609123, 200.78962715787296, 204.28385000583162, 205.15522752061005, 205.95247477701443, 206.80139168957217, 207.75366744484268, 208.84900430554066, 209.33320562099848, 210.23749260850758, 211.73402352339258, 211.90031033913885, 212.36547993308614, 214.00745047366851, 217.54150421887485, 218.84384452170247, 219.46600566121177, 219.59574053021501, 219.68064165716183, 219.9005194202671, 219.95701044555977, 220.8047368872887, 220.92040763767992, 222.50103057470213, 224.68075264318588, 225.53448438290317, 227.65400540043512, 228.78393944384015, 229.75123406510471, 229.79779389459588, 232.23031024221333, 232.41896592974487, 233.25997562484494, 233.91644971399342, 234.80212781423231, 235.34588521496323, 235.4787334793115, 239.17822428072554, 239.3809552170701, 239.68110325565465, 242.4417572318356, 244.07680806703087, 244.76324656003004, 244.9816461279764, 245.0990375595353, 245.3467520887242, 245.43351220792914, 248.05779569445954, 248.23240612762388, 249.59697823742457, 250.16820225113585, 250.97398207801621, 252.89958368766506, 253.45280845606712, 255.68861254095955, 257.72482418025777, 258.14637702964467, 262.32441023666081, 262.5893763629075, 263.75455015626079, 264.37417498817558, 265.66977931886476, 266.05282656162564, 266.35542229518751, 266.53659159969442, 267.11379342292037, 267.33553433170374, 267.91291978103214, 268.33540689666773, 268.93306898597251, 270.21801828382564, 270.69736290541317, 275.04354303069465, 276.22283897914281, 276.2962079846198, 276.60078151595866, 276.64613132178584, 276.88925850051152, 277.69578382133278, 277.97693923918786, 278.69478554204829, 279.03147929179465, 279.18292467126497, 279.81801004359306, 279.9914999767488, 280.41457694199659, 280.72620933420791, 281.48148878979174, 282.24682801306267, 284.83677998344785, 286.0679818374312, 287.11940193363921, 289.0985088712585, 289.24220643006743, 290.09752314625416, 290.73487158086948, 291.50972692267624, 291.64834598715697, 293.73990408250228, 294.29937656125469, 294.64074175719935, 296.69327612515974, 299.80688656634374, 301.91281981052606, 304.35153188600202, 305.91666581314524, 307.74305444027289, 307.88382864930259, 308.21082258199453, 309.80685342369082, 310.32168402501048, 310.36050221485482, 311.36885733480199, 312.15136075788598, 312.345057713556, 313.42832142977187, 315.11302264530656, 315.5678649029681, 315.76363962036913, 316.34740949187938, 317.37906546624765, 317.50054858439222, 319.08905105589969, 320.0102581692513, 320.1565442873183, 320.19626111460036, 320.40539523526348, 326.35239492968162, 326.79856470478842, 327.88089888967943, 329.60308165563208, 331.27449811311936, 331.34289906715895, 331.72815638206015, 332.36990318735991, 333.8142269726311, 334.76144706934122, 335.00172814252426, 335.38698043066984, 336.38621863387789, 336.66959638730509, 337.62089030118199, 339.7749110595953, 342.1214553793929, 342.56281620466416, 342.94628534482916, 343.28207546214531, 344.54011555377758, 346.1504549486649, 351.2468829972313, 352.62288401787396, 353.5375522498972, 355.39960046050044, 356.53945422170534, 357.76710900204017, 358.49002715916544, 359.4125372845071, 360.99246528317843, 363.30745454357884, 365.57051016317121, 365.89402177785894, 366.45689880991017, 367.19508876817696, 367.89827088411027, 368.49662851809916, 370.18264100862729, 371.29625899098335, 372.9560429831285, 373.16912301546699, 373.19501067156722, 373.53707800474785, 373.59930608685403, 374.08953727991292, 375.95663102663565, 378.5954120931932, 378.71723636681429, 378.7692837270734, 379.33628001966417, 381.43282265628915, 382.80334845821761, 384.53167704835897, 385.20878117421915, 385.26471985700192, 385.59320041328613, 386.33145584729726, 386.71988798731201, 386.81635137505117, 387.37642479510214, 389.30647738663902, 392.35755278363291, 392.68513888504361, 395.17068598392655, 395.60913224544163, 396.21386518042988, 397.37765845510268, 399.40262343942186, 399.6709423094444, 400.15163077792772, 402.18999713629972, 402.46188201974161, 404.69024949552096, 405.34996302341045, 406.57661379238431, 407.26372756623465, 409.48719472441758, 411.1244751404372, 411.42925198221911, 413.81743764578556, 414.9538609616406, 417.04432454476336, 417.14753654960998, 417.77366235731898, 418.3311199709031, 418.60451646565144, 420.03145043208798, 420.23656543468894, 423.03592256639763, 423.32189778073734, 425.94288367449269, 426.55473904885315, 427.20879823059181, 428.17941997699813, 428.22062975493793, 428.29593322591643, 429.55042221294082, 429.57612733207219, 431.82557286388055, 433.38862130374281, 435.74903646345376, 437.50273850586052, 437.55880488061058, 438.09036649316351, 438.39554585845241, 440.32803319030234, 440.6692204699404, 441.92528788694517, 442.2338633221305, 442.46387971793121, 442.89577160692915, 443.58299923202293, 443.63382228565536, 445.25405635006695, 445.74576964551323, 446.20990542831714, 447.0289450237226, 447.07960005300873, 447.44707372788122, 448.35083010447323, 448.87921471989779, 449.14450033362721, 452.54702532447772, 456.17191786794956, 457.43298966117112, 457.97371667602573, 458.22720441536109, 458.39974157378384, 459.87628360599871, 460.46819134584064, 460.82902373020147, 461.20715069261649, 462.00666219332606, 462.83133791610152, 463.0415388292439, 464.05921904469363, 464.36132175821081, 464.4600923856587, 464.78033353034232, 465.27014543057032, 466.67828002120734, 467.28776901768055, 468.3636301801842, 473.70227829133279, 475.33794492974829, 475.79775460764216, 476.29446829447983, 477.25990050969261, 479.98894611027362, 480.76314503592687, 481.93162940080543, 482.49012875924575, 483.61135142064632, 484.30418079133102, 484.52527835235787, 485.77792514319884, 485.93739242322772, 486.03529650567731, 488.83981745207916, 488.8878533674802, 489.12266111295014, 491.29607755205052, 492.38283922914798, 496.29212255937819, 496.84648129331549, 497.47135779975088, 497.66443186671523, 497.83870670907595, 499.38214954475245, 499.89748354213538, 500.26098322084084, 501.36394734904883, 503.5821394381569, 506.27970140809509, 508.04269781759518, 508.09669076356181, 512.9257773853019, 513.07079546427337, 515.20055428723458, 515.39098902957539, 516.33591824295888, 517.25425063275122, 518.56689630429173, 518.9732045512078, 519.40834726676883, 519.84502655135736, 520.55530290556021, 522.02673972484286, 522.24305507004078, 522.88421332625205, 524.02428734650471, 525.0680857623106, 526.04796462083038, 526.51693904676551, 531.14088161065411, 534.03485807686729, 535.15198150997628, 535.63831473790685, 535.99011730685731, 536.69039484062478, 537.55556816034243, 538.31722682095301, 539.14895229628439, 539.70416705964658, 540.33288609374597, 541.97643021797387, 543.16978558373819, 543.64484768573527, 544.4044311674171, 545.05657398546214, 545.7082836549439, 546.28475427597095, 546.62114420293426, 550.22835301591533, 552.89097785649187, 553.69305175970112, 554.56263050760163, 557.09709481715936, 557.82369414952132, 558.07454327559253, 558.5661463910177, 562.45912811800088, 562.55911607831979, 563.9555766408904, 564.43209764736321, 566.54554362386193, 567.85540988865603, 568.44719458213604, 569.17252691609622, 572.93520913781958, 573.23448041771644, 573.33819242305151, 574.68121096757238, 575.0372061870562, 575.07968436246165, 575.81942747299183, 576.13685619099431, 576.4904182188501, 576.98300819993381, 577.09960431320349, 578.73413656184073, 580.83019661274557, 582.46762359914487, 583.0226021126216, 583.052276001824, 585.45502383273822, 590.3890445275116, 591.52610437483486, 592.76350991105585, 594.35309420028807, 594.70313868960557, 596.7692599006125, 597.2612804546344, 597.68361274749361, 597.90336589326091, 598.44964194407544, 599.07525814688631, 599.82628480140386, 602.29990210414167, 602.48731517533406, 603.07630958577852, 604.27449946347281, 604.48637271140262, 605.49965147725561, 605.94654410589351, 606.37462991829295, 606.57888310462727, 609.05075964667628, 610.00017425879275, 610.28349630505397, 610.38418739669794, 611.09492811555401, 611.74145120898618, 613.24407967556374, 613.8719498180883, 613.9581286433131, 614.34459751768247, 614.37002918758958, 614.99874546225476, 615.27795088481207, 616.9076600088755, 617.29009592016791, 617.82548452236222, 619.14021813894874, 620.06268415690499, 620.81993769103872, 623.28217494481089, 623.45830620856759, 623.4878308454214, 625.63504570105113, 626.93634628768177, 630.1611288350573, 630.76929041063147, 631.2499488569714, 633.19713683914847, 633.49753478859759, 634.26647017312769, 634.62862884995081, 634.79510729684364, 634.95779263877569, 635.43904118342334, 636.05871919823289, 638.42757488646112, 639.38615044985818, 639.70110586663088, 640.9956644774561, 641.97123218544164, 641.99179074515882, 643.06377948382965, 643.21760536107729, 643.33259475441741, 643.38447357946723, 645.7360315809234, 646.321190022015, 647.35679449789006, 648.43811581311763, 650.76076330718172, 651.41234756580695, 651.58376343020711, 651.87665714930779, 653.06212583334082, 655.84555597055135, 656.45295155367342, 657.25472513097327, 659.35203271988769, 659.41403249008818, 660.98396922299764, 661.09484667492416, 662.44361485093816, 662.57935687976271, 662.65669451078179, 665.70671232103484, 666.91842734187344, 667.50028702607722, 668.47917528425978, 669.65192295289557, 670.97519160583374, 671.12143683330453, 674.54704512581202, 674.68744683091347, 679.28140925091247, 679.4635143692966, 679.59380807379478, 679.73642091252384, 682.90680211885729, 683.99587336128059, 685.31797126340746, 686.1817548278666, 687.04197388225691, 689.22038710365996, 692.80914155195444, 692.99548086145251, 693.45267258296371, 694.62683321987481, 696.99079349641818, 698.67077023948536, 701.65852293014893, 702.28182012680327, 703.0431267489538, 703.13140204966805, 703.77132270958396, 704.07610260266233, 705.16399235374172, 705.49084236915314, 707.03130004769275, 707.16996825829949, 708.23821505388378, 710.33742030093003, 710.57289826682609, 710.87786284753952, 710.94358800669704, 711.88796199984654, 714.37753116609304, 714.86415981265475, 717.12089441269313, 719.23769874378934, 720.49671720615947, 723.08459317846393, 723.22863664946283, 723.30576726613128, 723.8179176679738, 724.26308031683197, 725.30696875691069, 725.72849363225828, 727.0516495973983, 727.65262563399938, 728.12589308026281, 728.79158073125518, 729.35679568984256, 730.50261118502374, 731.58230546094057, 732.09251861350924, 732.35643506973031, 732.73854424420153, 735.05094755119444, 735.66317667406304, 737.02811038979792, 737.15945898954294, 737.9050990591594, 738.81148641365905, 739.51001770754488, 740.29477147216733, 745.28688294776418, 745.46983748586763, 747.69833684253672, 748.08872271476571, 748.15247849387117, 756.05472782577453, 756.27289933007205, 758.80993937863764, 759.21584048652085, 759.52799461111488, 761.35047278822265, 764.70136995986888, 764.79447717510016, 764.84028742434032, 765.29944107094218, 765.85553512844194, 765.95019569007741, 766.68796209387517, 766.76727102863515, 766.92877797779443, 768.87905396773874, 769.67433458784376, 769.70405972488049, 770.5481951342025, 770.77884119522935, 773.37353422728586, 773.48470986197674, 775.36106937588215, 775.939780284069, 776.89845736807945, 778.71740974189686, 778.81253574546224, 779.33354009008644, 779.68591209471992, 779.91944143794069, 780.84267176399464, 781.01961320233193, 784.08672656580347, 786.06115412171766, 787.5298812856646, 790.07394199074679, 791.66559170859853, 792.15361949913506, 794.75011914987147, 794.93538234795244, 796.36300407268402, 797.9291282659068, 799.6521969550605, 801.18984765530024, 801.69652401789097, 802.13339664332977, 802.32230425579712, 803.46294643936756, 803.72842137149212, 806.40818268326984, 808.14515695816692, 808.4194897298014, 811.86645922330911, 812.79045895076445, 813.069431552325, 813.54074655917088, 814.27314772660111, 815.78784158563951, 815.88518455069425, 816.17920576977247, 816.72877059105394, 819.76696182920648, 820.25030590125277, 821.78147635268158, 822.44797770367654, 823.44792185927054, 824.94711293065893, 825.05536487451695, 825.57654105137021, 826.17595574815857, 826.50112510497536, 827.04824868640708, 827.24173605038834, 827.30469607212956, 829.20187425041343, 829.95388521004145, 830.193162444569, 830.77974414374069, 832.39957877429549, 833.31440100879979, 836.23953714005813, 837.24196767115143, 839.91136276610484, 839.96466856331949, 842.75473229924933, 843.10725623412134, 844.39040389767422, 846.01329419212402, 846.11691871261826, 849.47049679348572, 849.78154276064947, 850.02697757869635, 851.04318528332851, 852.16437933865222, 855.85429178775371, 856.16138851176186, 857.97001944606313, 858.93333053149252, 858.98449452040347, 862.59467774419556, 862.78076442311124, 864.80612211700134, 866.79658602342795, 868.16520744537308, 868.59651009476374, 870.132324391005, 870.99194761727824, 871.80046177609506, 875.89753225360971, 875.98386847101733, 876.88949187136836, 877.3193678085396, 878.92047293577616, 879.59891379041039, 879.94808286924319, 885.09199690313903, 885.33600123207009, 887.07330190290816, 888.35295661411499, 890.33535471016, 890.41861779672831, 890.74880417202019, 890.80630919684415, 890.92905571160929, 891.52437795578567, 891.54794975473271, 892.06475561305831, 894.74642555288017, 894.81626603616576, 894.86191210905213, 895.74304097577169, 896.42408787435079, 897.2731494887887, 897.81515425069824, 898.37208501896725, 898.51819990472688, 898.6867319977373, 898.78756881932827, 899.38589682736438, 899.84329363316965, 901.31857419444304, 901.78453871995487, 905.001044275043, 905.36265107513873, 905.62506436414435, 905.88945545588035, 906.84421665672846, 907.31528262948859, 908.84578302940486, 908.93338920201222, 909.421770950255, 911.65074448737971, 912.10887680881558, 915.39628692579379, 915.67701710848144, 920.49527174264654, 920.59454098019387, 921.22545774027378, 921.32782592936428, 922.32872840362643, 922.74362532336352, 923.92160224743827, 925.56636252679027, 926.79048621773995, 928.33826735402306, 929.38157943094359, 929.80927441048743, 929.9967773602898, 933.7957388669796, 934.37245666838373, 934.79551990604568, 936.85286194663126, 937.68398003763366, 938.02651535102518, 938.09922766848558, 940.27048561918957, 941.76247218505296, 941.88470788442942, 942.32917545439739, 945.02282425463511, 945.15704709209581, 946.68756852170861, 950.22976354550508, 950.55553434541753, 952.62913620278096, 952.877292178787, 952.97623450673416, 953.9854817453363, 954.32988285892725, 954.50487326751966, 957.90360455263431, 958.66710971854263, 959.23650552813467, 960.02942147191106, 960.18066068803932, 960.41794239742899, 962.54098459983891, 962.98409194983344, 963.29832999545033, 963.43785181854332, 963.47193707492659, 969.18962846021691, 969.66330680217197, 973.76378099295982, 974.69472204443014, 975.19548137030245, 976.54771631521805, 977.99839927012613, 979.01393209132368, 981.96409173204336, 982.61641799909648, 983.81112911216667, 984.32034049325716, 984.37382494529197, 984.58039272097983, 986.14184004328774, 986.36727121118065, 987.07813801513464, 987.74270119259791, 988.31070663092635, 989.04232182035059, 990.10936686425839, 992.37306292415872, 997.2192351424718, 997.66996365451473, 1003.2687960198037]),array([44.717936994263177, 47.009113940746317, 47.913969811009174, 49.403299069934853, 49.423618113563755, 49.490195408889655, 50.666484498214459, 51.984655575885604, 52.418562925509569, 53.037074653412205, 53.15274497423853, 53.23966956175682, 55.807176328742159, 56.963669922177651, 57.393275152615509, 61.144639817265748, 63.1572268316513, 63.679719491441745, 64.692048796041504, 65.608237927320914, 67.846082038080525, 68.086369153313782, 72.14275322021011, 74.593171169420657, 77.535314247877452, 77.904307774171613, 78.610610030524612, 78.737959889797551, 79.254024337407998, 79.719141494709021, 81.969370131719572, 82.572652437630879, 83.344419611596507, 87.098137694252245, 89.974306756133501, 93.296845979192398, 94.675704964717639, 97.175649189130851, 97.956739287964169, 98.2002900001862, 100.56237409389978, 100.88359411921618, 101.93451592524313, 102.14337069507934, 106.71600570691061, 107.0703106097023, 107.80718882357078, 107.90248031615964, 109.10769242914476, 111.60556459091816, 113.04645685468407, 113.14212321209325, 117.29170210246454, 117.90485672117107, 118.88482429591258, 119.47771376105391, 122.7390054566478, 122.85662423398526, 122.94316960186485, 123.12093693034521, 125.47577122726325, 125.63040066802668, 126.68481244542258, 128.35938990464746, 129.1202574035413, 129.80163792329742, 130.43088652783146, 131.86423729085729, 133.53952864070143, 134.4014265202519, 134.55315376405088, 135.81436947392226, 135.90001280968053, 136.74182379839846, 137.38717998811106, 137.4374623684229, 137.64505585319753, 138.78467038620934, 139.50721144506204, 140.37395186494001, 140.62756973377446, 141.33563279955305, 142.14048118134772, 142.27001061867639, 143.0407762526784, 143.35563657564418, 143.88001186968589, 144.00523024249119, 144.39938511983058, 144.72822169405461, 146.82962557076058, 147.58471538481979, 147.95610538457657, 148.91607586217214, 149.4982794532917, 151.67529424097009, 154.9120969538755, 155.51638288153416, 158.35259843417342, 158.82129175347166, 158.923951284694, 158.97825533342964, 160.27486625504119, 161.13853092785493, 162.16290739122152, 163.07033734128129, 164.40749585734716, 164.59111026678281, 165.28734611541628, 167.44522931598388, 169.66785707825423, 170.1347682316302, 171.76177647124811, 172.77525878893323, 173.34692514391114, 175.14930856372638, 175.24129302788913, 175.34583049129478, 177.71326822860948, 178.76901543587209, 178.85218205888091, 185.81247627902579, 186.27804389395891, 186.57551471845019, 186.85200889994096, 187.23212548953231, 187.37097978390457, 187.50033865540362, 188.30366885403328, 189.08904452055131, 192.34263419711112, 193.38954663174451, 194.6817575175634, 195.25843507720262, 195.97403368246722, 196.07909735892849, 196.36464124882593, 196.52614531771275, 199.19037986658498, 199.73881900156863, 200.36481373227329, 200.52574364665682, 200.56338424251231, 201.67103426597129, 201.74122761854346, 201.95064544875501, 201.99953965320813, 202.28401977129235, 203.83665858886454, 207.66350187359484, 207.69972199212799, 209.46882230262412, 209.73279377020916, 213.51234429719773, 213.87628356828785, 216.58324861142194, 216.88702558263526, 217.54179361638924, 221.85402265792308, 221.99260937089417, 222.31705812189475, 222.4841115301939, 223.61382805096039, 225.19361169080241, 225.27258050305841, 226.84337155660552, 226.91964249619846, 227.41345357477047, 228.37797581946904, 230.09037400259643, 231.27021974783347, 231.88440888420934, 232.13220151064422, 233.76241334158482, 235.17392016094269, 235.32359804685325, 236.91986525192121, 237.38264295788682, 238.81031984854926, 241.34722610939292, 241.556217640234, 241.80771491571696, 241.90837015957155, 242.15161791562053, 244.41090225237286, 245.93996596161833, 245.99776031968753, 246.65222406481845, 246.68185256788573, 248.47547205254662, 250.50238464780838, 250.86611635107843, 251.56544392424837, 253.08580694111257, 254.11714262425394, 258.2207755382538, 259.00140918862422, 259.02981414567506, 259.06842353444762, 260.54521238851618, 260.86595849698926, 261.45499658449216, 263.1757271859629, 266.54234624144874, 266.79915436679579, 267.86615780263628, 268.17442353077877, 268.28202725607667, 269.27287844455617, 270.5607472646962, 273.87820368049694, 274.3800942697751, 277.0433833771707, 277.60848985776994, 277.63238334849893, 278.03922229701499, 278.81858642537048, 281.50177398894533, 282.47247036968395, 282.70104165264331, 283.26951187408184, 286.0671976124562, 287.3971865601402, 287.68761643597884, 287.83190282883766, 288.70892590664482, 288.81122077745357, 289.19876621707687, 289.3902190348598, 290.68827467589051, 290.83654791404894, 291.39183046192954, 291.67164470486011, 294.09645827675337, 297.28877866059833, 297.62626531145099, 299.07149803139004, 302.4932749727833, 302.8687853485327, 303.26308652294841, 306.18030837248432, 306.44620736077741, 306.7309911815733, 306.87847287098776, 307.40628880331872, 308.39976047147155, 308.75150243809617, 311.39789886118751, 311.94683194991455, 312.50449055778927, 313.45939862187618, 313.61321660976859, 318.31672237441722, 318.60020287869338, 318.94222852240728, 319.06263090053915, 319.74854818082753, 320.96874839407099, 323.47235680706513, 324.19283616872264, 324.87846220859677, 325.62707634959497, 327.99300095290619, 329.56517907889167, 329.68615593944264, 330.36483055191752, 331.90505682108892, 332.73471261891353, 333.07807592488632, 333.98188192595023, 334.72931465653716, 335.74691264372217, 335.82753799783956, 339.13013439874078, 340.17419957941166, 341.14958317786659, 341.68129916808056, 343.43751391840993, 344.18439746911707, 345.72822200857865, 346.52429658017496, 347.02965922767379, 347.19102433396307, 347.80443640012544, 347.99948592079676, 348.3465966627212, 348.58848137657577, 349.99092529741336, 350.69826681111891, 351.32346808604763, 351.41464855492319, 352.1925540425126, 352.21908840961942, 353.1978025589504, 353.67015865357456, 353.85892552267285, 355.27825531183646, 357.42546216504201, 358.09757195920383, 360.67881559349695, 362.31308295085705, 363.68864942693375, 364.16804446569643, 364.39550872881449, 364.51566821546464, 365.28889524355583, 365.41437291128017, 366.4388949663703, 366.61177551104748, 366.86461493916187, 369.27799366101084, 369.79052007576263, 370.92661386444763, 371.56427465616844, 372.74983839716583, 374.13220071400332, 377.98607133239148, 380.93936966265272, 381.20257717479234, 382.74794140170417, 383.42327014735224, 386.87738496182919, 387.6186809966191, 388.88922383155943, 390.66340493639336, 391.635195836214, 392.07319759685907, 392.80350209740584, 393.81930921824443, 394.05863554992152, 396.24805013512616, 396.93167068533506, 398.61562643557238, 398.68148534077108, 399.5103776978313, 400.03041518154618, 400.49068310200636, 402.16918340278465, 403.10148244520366, 403.75111449044164, 403.98996639788589, 404.0874616929035, 405.13946803674895, 405.34901546484667, 407.08682040291598, 408.20655346644116, 410.76164436732739, 411.74415169761141, 412.66550446839238, 414.49939119769954, 415.22372506815844, 415.5869817186574, 415.79482351247657, 416.27141541494933, 416.31673403322912, 416.97070615146259, 418.120434915239, 423.45180402057031, 423.76373804081794, 424.32792368842735, 425.00279576056431, 426.30081291577767, 426.85531380151218, 427.35067885344955, 428.45630308890225, 429.61010503938428, 429.6543744453632, 430.4007732208841, 431.27438747729502, 431.954796183773, 432.60190483749039, 432.66529866110847, 432.95567863003777, 433.03423357935287, 433.43326210589191, 434.71728112079029, 435.66971998083295, 437.39934484080578, 437.42503511416703, 437.94970507612447, 438.13514172355787, 442.62572237211458, 443.96944531936288, 444.19170084602769, 444.77682162129315, 444.97228433787507, 445.38846786688487, 445.69772600672178, 446.37859435445966, 446.52783664296692, 446.61658492070637, 446.72823908746039, 450.57464249907173, 451.46316329429504, 453.23564330401541, 453.487626165015, 454.61407833604909, 455.5019484435818, 456.23510969032998, 456.67454583266527, 457.00097311226517, 459.41290133347667, 461.74446812221242, 462.38999961977345, 464.99668103020343, 465.41083758598495, 469.13001620792988, 469.25569165358934, 469.70013106020372, 470.69662546695525, 472.09011770997859, 473.67042362273503, 474.15181515417601, 475.28682273536316, 476.40979421833418, 478.1863249114179, 479.08109921371289, 479.37853394975537, 480.09928652527151, 481.99549820528364, 482.05629446057503, 483.69311015248309, 484.16974171033303, 484.2197801801421, 484.28970207922066, 484.57989109091551, 486.87223415334302, 488.26307129242633, 489.16616596852532, 490.63630390796425, 490.7228157415887, 493.0273574587589, 493.4333388795647, 493.46195829680391, 494.3017004884025, 494.79940339281706, 495.82159358203052, 496.1448280037859, 497.54893947619001, 497.73407699473131, 498.17841924897493, 500.09218934397131, 501.25358129785349, 502.07282850545033, 502.19381014032064, 504.13610418821912, 504.27541226984835, 504.40544938334608, 505.47076242545933, 505.51341101137973, 505.84862630793469, 506.18488143555533, 506.46377298889502, 506.82472950518525, 508.99972171423002, 509.5633245086571, 510.09531515913051, 512.70097709367326, 514.22741441366009, 515.12079068528112, 515.93211232469889, 516.30725032688213, 516.9729862637314, 518.62813036138914, 518.72217329412319, 519.5548785636397, 519.68320617896336, 520.5887508650552, 520.89109411943411, 521.09427531054394, 522.02579318609787, 522.05654343501624, 525.58525986311417, 525.99223390222937, 526.34395307169905, 526.38379651034893, 526.77881752348571, 527.27731618979431, 529.67436838405354, 529.88038755557363, 530.4363226556369, 530.73366180328571, 532.00521149962185, 533.42873476885597, 534.50292165029293, 534.56518696202443, 537.26749478333943, 537.35406758051977, 537.74011280099705, 541.3432566829905, 543.50275169342035, 543.74417122497971, 548.32086494554881, 549.01707305346201, 549.05908471491955, 550.96080883407842, 552.55277945442174, 553.07041271388266, 553.46458604460406, 553.53324182034203, 554.98171005483221, 557.39140332593888, 557.48049693256337, 558.29652465075969, 561.53947783666615, 562.22771817676914, 563.91259015786761, 564.24391883699877, 564.42512351743517, 568.30321642697652, 569.07225621828809, 570.98713350363994, 571.22489850182546, 571.92068863529198, 573.92250031645051, 574.35911424064398, 578.63789834922284, 578.85647116571079, 579.13673145811913, 579.71224011569529, 580.24662682290648, 580.30454341328061, 581.40487114842642, 584.03982280843354, 584.2853874621992, 584.74630721934636, 584.95162077471718, 585.94698533275846, 589.60305514162246, 590.94505753744693, 592.28417572807405, 594.29952127036393, 598.42600573431764, 598.78841846690761, 601.23202057408844, 603.07139643523806, 603.52746816701676, 603.64670628490296, 605.78927998159395, 605.88652262926689, 606.84279327007027, 608.27258363542035, 611.51539759677189, 611.54203887157621, 612.81092949906918, 613.79609453517367, 614.47997659424698, 614.69618075684991, 615.19637431110857, 616.00549643025568, 617.37165097944751, 617.72057677276803, 617.80285255224476, 618.90146211167666, 618.92926475572426, 620.17503182348844, 620.94746637510605, 625.24020685084031, 626.07017095350318, 626.09828435054169, 627.38680562101604, 629.62551554075173, 629.65153844648819, 631.16540273675719, 631.56758979675283, 633.08667304276673, 633.41581108207754, 635.3658227590131, 636.35082153619476, 639.64267758062692, 639.74887201653689, 640.35512417686436, 640.79759290525556, 642.34355790959842, 642.84159739628035, 645.26579491197469, 645.69402821054575, 646.58572368793682, 646.99184404697712, 647.418035884098, 649.53846608463061, 651.48108850009771, 652.53433299454673, 652.98796827208434, 653.04681667797468, 654.78688082980239, 655.18140250904207, 655.54502085658567, 658.08932861328924, 659.73052936851366, 660.26616304606057, 660.81395684019151, 661.18112148906334, 661.8790791824722, 662.10839048394632, 663.89130911631889, 664.28363646727269, 665.06791159338354, 666.12332097081935, 666.76948838094154, 667.70584726142943, 667.88749559829671, 668.1177331044313, 670.40636915306163, 671.09643708235524, 671.4841462217654, 673.33730658214461, 674.12154664138086, 674.48695776429361, 677.77564237613979, 679.0727601123906, 681.19881332718239, 682.98835788026702, 685.06427091463354, 685.32777921578406, 685.86381921883981, 686.48016508056094, 688.96479276745265, 689.22228842530035, 690.12425335690591, 690.32837802707502, 690.6681371635292, 690.78518688516431, 693.67679865118396, 695.22363562686371, 696.17844890224239, 697.67031472172846, 698.72954912581804, 700.20714510123753, 700.26361042936628, 700.54036029381416, 700.62027530624221, 700.69304590822821, 701.60857714772237, 701.65611785923079, 701.93810427953201, 702.56601983975736, 702.6794192019704, 703.94546740293379, 704.90707612737776, 705.88024797230548, 707.09480300921632, 709.48213270597921, 711.05477316422332, 712.42808397413842, 714.17604243939468, 714.47503901277355, 717.30816590574329, 717.96896634470738, 719.6601575315043, 719.88151974060895, 720.2695016707961, 720.35451890685079, 720.8173194526272, 722.16583197565956, 723.12381525465446, 723.56868616597183, 723.59607799626542, 723.70264254817505, 724.44050862959125, 724.77637901777405, 725.1436765635915, 725.49997159743509, 725.95646083884992, 728.52622440984965, 728.75407871448124, 729.32649721199755, 729.59264964134377, 730.96682268658617, 731.36254063641206, 732.00367570212939, 733.71880519454794, 733.78018599122856, 734.68043411992323, 734.74268897503816, 736.1283652779149, 737.35209800845166, 738.33285407076926, 738.63148646081845, 740.75592669881121, 741.73244498478448, 745.169319037528, 745.78960566552712, 746.07775529140577, 746.39387459065642, 748.94731473016191, 748.98613781750169, 749.77335196396007, 749.96602650522823, 750.2279154431817, 750.49157176407141, 750.86631058119281, 751.38297362752598, 752.36655819378973, 753.27883034057766, 753.71862164550328, 754.83563806467441, 754.9944062795621, 755.87554249938455, 759.08148802966446, 761.44024753554856, 761.72018796379427, 762.46934558552414, 762.95243150025169, 763.00909032830157, 763.74559101472369, 764.83247807557348, 765.23767892795456, 766.33453584141682, 768.5760249193529, 771.23004570609282, 771.48614430138446, 771.80867245409024, 771.96537212330861, 773.19786414108728, 775.12658592127571, 776.04842652036393, 776.58876269218899, 777.16030009470091, 778.20770638301121, 778.8487650136683, 780.09784392457823, 780.1696236491407, 780.54456467254204, 781.49002080869479, 782.07138306466993, 783.99372112452829, 784.02754368042611, 784.16828457128304, 785.0926150842447, 785.16518918124473, 785.96348880334165, 786.07722021994778, 788.11652055328352, 789.18104124162085, 789.53915784516482, 790.9703655844213, 792.38713846531175, 792.95302404960375, 794.4050368476602, 795.22653508140354, 797.2654989202141, 798.58980924734408, 798.92021248396509, 800.27728623517794, 800.82655999468921, 800.88204035743331, 801.11517234898611, 802.70792917926724, 802.88767421614648, 804.45737287239012, 805.33475575845773, 807.05208463173574, 807.58817949319689, 807.7747759756902, 807.85159027543432, 810.21682999594782, 810.64274499991541, 813.23496076843867, 815.31579975111356, 817.51371363267299, 819.35337501535241, 819.98677719214072, 821.15179797606413, 822.26320025325606, 822.47308852557524, 822.85844905261615, 823.81237078889308, 825.02703177479066, 825.70523279469251, 826.0587309828968, 826.24630874587706, 828.51326539896229, 830.29992849533835, 831.28542667593035, 831.50363013267952, 831.67233138772201, 835.28983905816858, 835.4098657020088, 839.52355105329389, 843.0925238745773, 843.41287371211115, 843.5544698418563, 844.14079263681379, 845.15977556990185, 845.33773658981761, 845.39937798305687, 846.35768258200574, 849.62823570933142, 849.69631649207304, 850.1777580425013, 851.15054641270262, 851.18679099835049, 851.43928225827017, 851.47808327793325, 852.06825193777274, 855.43330986384763, 856.29398420725056, 856.4748293391342, 858.01815214818748, 858.40174272873503, 860.41839568980231, 860.65463047756168, 860.75120300384276, 863.91632634135999, 865.96791608338276, 866.64959049321158, 869.31985977694967, 871.89270052616951, 872.56666515825316, 874.43198465060345, 875.92151043905812, 876.03631945812594, 876.19872125096526, 877.8875488790527, 879.19652701814346, 879.56624378610888, 884.52337140179236, 885.28009033731917, 885.38788927055691, 886.0836446462589, 889.12901712039229, 889.19865472713025, 889.38894554427043, 890.40273059499975, 892.51177498373704, 894.16588769448254, 894.5932520541221, 895.07965316091827, 897.45702107605439, 898.26513486148451, 898.82564086432774, 899.07238867261651, 900.01619717498738, 903.43401267596539, 903.56313022068673, 908.61133207524574, 908.74174676406494, 908.85496263710002, 909.2747658562289, 910.40579927470196, 911.49567496899306, 912.16072536437866, 914.19996566711973, 914.26765372254238, 914.66041614124902, 914.95082477514791, 915.30004933887506, 915.40856940222318, 915.64188819159938, 916.11727446401653, 916.26677589917142, 916.68054805581892, 917.60611235707302, 919.59142661199849, 920.11738961684352, 920.72637150080573, 920.78866746184599, 921.59751293499437, 921.92038281513544, 922.65447264892782, 922.78918247291392, 922.9048470900749, 923.72150728316569, 924.16283624398773, 924.3385913645709, 924.74780261237424, 924.82781403738943, 925.96215642173445, 926.04733366439382, 926.35508504807819, 927.77074675408733, 927.95301921552243, 928.2265171836367, 928.31940334668616, 931.01795259538608, 932.43498143931981, 933.0712532100581, 933.91923317462511, 935.95645881632061, 937.26489491780217, 937.59037262146376, 937.82228676759519, 940.11208843173938, 942.75948753349064, 944.31266252768216, 944.75841326396744, 947.19431933273233, 947.26849735713961, 947.32441471241214, 947.39675395899087, 947.48190595475387, 947.65921514129366, 948.12238991060212, 948.436920148063, 950.02827377161373, 952.86123901802534, 954.29619199475576, 954.33333050121621, 954.37665452855856, 954.7333938978652, 955.83849786739893, 960.43486178297326, 961.08853365405355, 962.82635458798609, 963.06427895474314, 963.82160702144506, 964.33573748527294, 964.58832829519304, 965.54648871946176, 965.67560653345538, 965.8234684710925, 966.82294960371439, 967.16336667071482, 969.5293336753449, 970.16642451193024, 970.23942878012087, 971.38555723457716, 973.14839159018936, 974.83717541467297, 974.9500056612909, 975.80620062893706, 976.94066820209696, 979.60683496269394, 980.11912746495989, 980.55336051555685, 980.71129173709892, 982.54772089678841, 983.99793113276803, 984.97886053297987, 985.25202401417425, 985.99200201067538, 986.04214807345295, 986.27427033869606, 986.30275418499934, 986.8134912405942, 990.48014773876696, 991.91532940909212, 992.06180177966587, 992.41309143976969, 993.38956489109751, 997.04866575088056, 998.34218949904425, 999.00192627756542, 999.85302365527127, 1001.259886892293]),array([87.819627469252353, 90.229357692790259, 90.366197380506378, 91.628513649923235, 91.912163442540532, 92.068943862228565, 92.894345097879594, 93.354882236678435, 93.930431630048631, 94.392353353125955, 95.59695327943713, 96.050337206687928, 96.781579567430128, 96.941044666905981, 97.475085804291638, 98.023101518161397, 98.580746423117802, 99.772180098406508, 99.872780568568984, 99.928956065845568, 100.53076232218565, 100.71837729441073, 101.5870636739873, 102.30823434712883, 102.95190583337121, 103.68072219120843, 103.97023680859749, 105.33749808803935, 105.37151582856968, 106.7986700668536, 108.52718357185225, 108.99736428357815, 109.1032750627275, 109.38414350686088, 109.4503389429547, 109.68660314441361, 110.89770099723982, 111.99617699077197, 112.51156942790217, 112.96146250974768, 113.02165665293487, 113.15913709976499, 113.45800208635119, 113.88961957919128, 114.51854054682632, 115.91486545951011, 116.43744886872463, 116.47597247507252, 119.10909040373744, 119.95640188031548, 120.12232144661336, 121.52729219500881, 121.82431736084615, 122.05318798369613, 122.08586992922953, 122.22003616472705, 123.96236696150085, 124.50427996854654, 125.00914508768631, 125.4351635259453, 126.16119060661568, 129.03849762338245, 129.66895307185573, 132.03997343626276, 132.46085837056495, 132.64065725300617, 132.92056783434623, 133.83854701081162, 133.94586964591639, 134.20355197939341, 136.58952969562031, 136.68606837290631, 136.98648365497002, 137.36724987384972, 138.18230695687325, 139.02718465723751, 140.40952510631388, 142.77124836831842, 143.08810068427687, 143.70215345561238, 144.85016899281237, 146.20994644774569, 149.19432361998554, 149.71569683034588, 149.99653540009814, 150.38132209700984, 154.22819017476664, 156.7849779904293, 157.57836393605214, 158.67751789976217, 160.13266188111976, 160.24940409141553, 161.76336002999798, 163.31643208646304, 163.66186176888772, 164.18672489387239, 165.23896806371789, 166.65212401583577, 167.44025829898621, 168.36235137354473, 168.71744729840222, 169.65029123602415, 171.23747026678188, 173.03562690682716, 173.24291101902116, 174.78362802663432, 175.14048939305579, 175.68198248536243, 177.61853694541531, 178.76225646377978, 178.822431511166, 180.55423526048065, 181.19013062321412, 182.87356051101833, 182.89481156554217, 183.44346014865269, 184.45886527051002, 184.91853876751256, 185.03662148818529, 185.35013506942434, 185.46155096386647, 189.53039866294353, 191.23359837330696, 191.37950763941367, 191.94559431633829, 195.32609799756941, 195.56893090580797, 195.5978496463928, 195.79134442224526, 196.83774724920372, 199.79356602538084, 199.92987522435527, 202.22801796309358, 202.96717414554701, 203.09073745026328, 203.36324974578613, 203.7991159038362, 203.87697135653119, 203.98667556305358, 204.23354547901877, 204.66235985221047, 206.38581874780741, 206.92687634518458, 207.7402772675006, 208.21164103713735, 209.03106631091626, 212.87424083723576, 214.17999942466969, 216.94137049730821, 217.44198490332985, 217.50190286465693, 218.60418605817486, 218.82037482672277, 219.23694646153501, 220.08080286642803, 220.20389947221457, 220.67378062568571, 222.18740244433511, 222.32582805951103, 222.8164434382922, 223.56356868989147, 224.04506518786633, 224.1228376578793, 224.57459008127938, 224.86904368829315, 225.42019431352162, 227.88841613048541, 228.48593203337094, 229.47134474195343, 230.70083027759753, 231.95999115299128, 232.11448471676798, 232.24723107200774, 234.21621326038675, 234.6303455271177, 235.42973316346729, 237.50174087902937, 237.98298709840407, 238.25526420519284, 239.06062768000999, 240.62286636270147, 241.05788837164397, 241.16287415151007, 243.13006420429633, 244.85039903530938, 244.89850578421004, 245.69552947032011, 246.12530474295895, 247.66141811076426, 249.75002440591322, 250.04146456045453, 250.78197861193524, 251.06356114300615, 251.71579891307272, 254.42496175069249, 254.88218143619551, 256.30025553872548, 257.19738143662528, 258.20446475890577, 258.28158953766047, 258.67457648405781, 259.31973292287967, 261.72195753958488, 262.84279394644881, 264.42775449514346, 264.95108095177079, 265.08014414968329, 267.2638673141372, 270.9656769922521, 271.56364457547733, 272.522907337025, 275.10136189562047, 275.76170864532486, 276.90967039547564, 277.36805723797158, 278.06609864110914, 278.13399035223478, 279.79275217622086, 281.99153706484373, 282.3113660619569, 282.41344012010939, 284.00064394092044, 286.39925003341057, 290.2754324711737, 290.81407158897821, 291.40169214700211, 292.69451935670139, 293.45243008827805, 294.1540325328757, 294.60568275618886, 296.92166951191433, 297.11601542817436, 298.10308231501881, 301.89091482523332, 305.46319960262508, 305.66901949121126, 305.87569248254579, 307.27327904398322, 309.76143118829231, 310.61449612953265, 311.82282670425468, 312.2103498947302, 312.29201992297681, 312.76160257437238, 314.24633151198464, 317.11534708855157, 317.23180429552485, 317.7977379440141, 321.72259992400961, 323.16241307124614, 326.63001351902608, 327.38543000863058, 327.62189880907124, 328.93029118467132, 329.27892313143946, 329.34798080977021, 329.66330941248378, 329.97767204592515, 330.14465170809132, 333.2062008378644, 336.14813388462966, 336.5770471938938, 337.97633602115326, 338.52126476295371, 339.40308392884759, 342.81441864584104, 342.96759279237222, 343.01995211562689, 343.61784553569618, 343.87620339440048, 344.10028788423028, 347.12841198051831, 347.20849909347669, 349.43408391613838, 349.98024607899362, 350.40525607376401, 351.92416468246233, 352.68514935905915, 353.52744667613871, 353.87587838166212, 355.51028935727231, 355.65833302331197, 356.42809933125204, 357.6606583923305, 358.16976869140728, 358.72881247156249, 359.12819411972663, 359.70146525918506, 359.84955183806971, 361.06347520014322, 362.11180574252307, 362.49806876025406, 362.78793166209374, 363.49919207658303, 363.95070067862991, 364.26825034600591, 364.45293056189917, 365.05339033942653, 365.16698568471872, 368.57281120916559, 368.80367036195037, 369.29713288810905, 372.28277745183482, 372.49389987308052, 372.78340073615993, 373.25622992893722, 373.97425664756446, 374.27540047735442, 374.37253322282766, 375.94907984098916, 376.37381930164747, 378.49023672889552, 381.35960817935052, 384.004591415005, 386.47831763026971, 386.94968856260232, 387.21057864169825, 387.45283678403001, 387.71785304538804, 387.98099902771241, 389.88548244897788, 390.18543538971329, 391.32529887545729, 392.44679378024119, 392.90743658660085, 393.37628991047296, 394.04826371640871, 396.3833700372723, 396.63718697582374, 398.2816110951216, 398.82854007445673, 401.337991107741, 401.99069472625422, 402.1300170073348, 402.3857186440469, 402.75024821088977, 403.35058664720503, 407.3401365270168, 409.04254560958293, 409.29949410115836, 410.47962210895992, 412.5669533993314, 413.82244586078622, 416.7790932828853, 417.64208072832974, 418.09945792477276, 419.14807832045074, 421.16733455098642, 421.81906378814807, 423.25063848390494, 423.77697177101834, 424.09268486975321, 424.18638482817482, 424.48393487842213, 424.51758913439863, 427.07499289515977, 427.35485600236302, 427.88198490230724, 430.27088681776695, 433.745569624913, 434.10650478434263, 434.57387761914987, 435.87700918216541, 436.16576496959317, 437.42980049019081, 438.76548338535002, 439.02113065931718, 439.51844849766991, 439.83907104934747, 440.66914738792406, 441.26173980736792, 442.79596456799061, 445.56260284463457, 447.05318652607048, 447.50841459439596, 449.24744516833027, 449.42627915825926, 449.64644055775841, 450.57524717613353, 451.21801208078472, 451.89670827301558, 451.92358794832728, 452.05313758519043, 456.00202794834127, 459.75384356504384, 460.42911067502718, 463.9151342064676, 464.12411589439705, 469.19561173579575, 470.48870098724018, 470.58410919455997, 473.6658667067698, 474.41561584928979, 474.59313453390035, 475.44817381429095, 475.84933916851486, 476.29714639691343, 478.19604741607799, 478.82967093073165, 481.10618534819486, 481.13798637567959, 481.25774767803176, 481.53482439181562, 484.0333067024427, 484.49944721710318, 484.87277318312545, 484.94605775181338, 487.81704107303506, 490.53615352624911, 491.7470600967759, 492.11641727963678, 497.97164194717624, 498.06276693131207, 499.63516819565086, 500.07853820732629, 500.28268821352242, 503.05423267289638, 507.09446270453191, 508.36799196585935, 508.43979491233227, 509.11072352292632, 509.31218060118897, 510.64289290634429, 511.42650776203197, 511.96089680701505, 512.13840876364748, 512.30533444958985, 515.20727957534564, 515.27481156792089, 515.86524092921525, 516.75665565153247, 517.41363628656723, 517.68398812168209, 518.02893235982151, 520.23526382874388, 520.58256186490917, 521.0158082789934, 521.58498370903885, 523.46257103816163, 525.61228601626954, 526.25469952646074, 527.86095570214889, 530.27215258935007, 531.38646512517562, 532.60202059732615, 533.94349742980546, 534.81275569718377, 537.45574535511025, 537.63620960712501, 542.63361889464227, 542.75091207094795, 545.49586333947525, 550.39481742980456, 550.55050559275662, 553.26349862938446, 554.69116156189568, 555.80023986722244, 556.34270959625326, 556.53082274907774, 557.05975222626023, 561.01425600258119, 561.94441554614923, 562.11485538110003, 562.23030120509281, 564.83048234031423, 565.23853829999337, 565.83111295201002, 567.66884243820459, 568.22423818830816, 570.49961319842487, 570.81033446531615, 571.15548373199101, 572.15664008785359, 572.40271090507383, 573.34726561851096, 574.16822300063757, 574.23178314720747, 575.03503817368107, 575.19201015097201, 575.24164062768148, 575.60391384590343, 575.77585782784922, 575.88651757302671, 578.20943483724409, 579.00494104440327, 580.02056947849417, 580.50389153785352, 580.67707099511006, 582.6816239503778, 583.02325121797674, 583.29818804798253, 583.43895776571628, 584.82305914437006, 587.89337585384192, 589.97763081560993, 591.59493709052265, 592.42826252039549, 592.68159498283262, 593.49692948555673, 594.20625086499319, 595.4119482921601, 595.53009128202154, 598.52687455714079, 599.77666476872207, 600.28228968892518, 600.73432347183086, 601.36114817984696, 602.02627537352998, 602.57206516863596, 603.88090704030799, 604.20396720645533, 605.55322167829956, 606.03036484467668, 608.80612788275994, 612.46040740656781, 613.47707201329024, 616.30553903158886, 617.64062520959465, 619.10728577839848, 620.09474662862385, 620.49923783291194, 620.86570908240776, 620.96850134443298, 621.08884859956731, 621.20577582456644, 621.69937043894697, 622.50673750477847, 623.27366260532858, 623.77697526017494, 624.37539954753595, 626.80074890977153, 627.12062749070276, 628.58235800557429, 629.66141708629846, 630.43368148279581, 631.00676522928688, 632.81486965301292, 633.55371164435223, 633.92104870321907, 634.18440690120985, 634.53468725700077, 634.91229160401633, 635.79252010216305, 635.81544053222854, 635.94800399482347, 636.00609087525686, 636.60044973077083, 640.88150957046685, 641.14311116184751, 641.19120867815855, 641.31852416412164, 641.61924805093042, 643.38845089471636, 644.40296121142933, 647.14757112244354, 649.30057246995568, 653.6025448212207, 653.84308179309073, 654.02354502332514, 654.95791145298449, 655.17438360074937, 657.66603746345913, 659.96267860090154, 661.18263308843439, 662.61064441819917, 664.80872784241262, 665.05185844018558, 665.08897523041469, 666.26882329817897, 666.60531203565381, 671.06844167741781, 671.20573416405796, 673.15831815560921, 673.20160897165226, 675.42216059986947, 676.67554043523489, 677.02464288868464, 677.05920320304608, 677.33462400163978, 677.49819778199731, 677.55981428951804, 678.87222064745663, 680.70243950828637, 681.39324531192642, 682.09778188133259, 682.89719126090415, 685.49337869598253, 685.77826438604654, 685.81372015718955, 690.19853718176512, 690.51414717201715, 692.99892621286494, 693.22660358859082, 694.6276545981068, 694.93348894268354, 694.98915080093934, 696.12174711023306, 696.22363230608937, 696.30228008530401, 696.81611424668051, 697.39846783132009, 698.60409000631307, 699.34617045305833, 699.43091220012036, 699.93856375899941, 701.64408191042128, 703.75747932807303, 707.15009195111168, 707.4191890054168, 707.77259104267659, 707.92266898269395, 707.95148742308356, 708.22525034308853, 709.41568962418819, 710.4656870328954, 711.73393847950047, 711.84694958660089, 713.75770142186923, 714.00090337153017, 716.29497904523703, 718.02283311343763, 719.51021986301078, 721.0079148867452, 721.28528375129929, 721.50662795265123, 722.19714174109527, 723.2696640110405, 723.64494856836575, 724.03252540860365, 724.71544672221933, 725.39171987013412, 725.47959421138069, 725.63838902148973, 726.81213263809798, 727.34147952147862, 727.9956759210703, 729.10162333814435, 730.1296341702548, 730.58025217118006, 731.02655614977198, 731.44272839950179, 733.78060599607534, 734.26219369831733, 734.80855577617569, 735.01529596388082, 736.94951732721825, 737.26936828754719, 739.58564385396778, 740.47297803455808, 740.9212690394013, 741.3144270658147, 743.222879138498, 743.81582022225587, 744.29218752316717, 747.75479709700778, 749.70163462191704, 750.14957145151334, 750.41266161926274, 751.22594801065918, 752.64437530325586, 752.89577265270077, 755.18828201117492, 755.57744053778208, 755.6958744015061, 759.20828582573859, 759.45624788918803, 759.72284143929437, 760.49263606516524, 761.60598036359875, 763.06784557151332, 765.68636093382202, 769.36586826879477, 769.66980554197028, 770.30082102404458, 771.18857968360146, 771.70857682101973, 772.46101037477069, 773.36088457578614, 773.86526166461601, 774.01283959943294, 774.97612453954116, 776.12991968374922, 776.74146631287795, 778.53178648400046, 778.90938189202905, 778.94881663175681, 782.68560952454743, 785.7983311362475, 788.46832457960022, 789.98430408472325, 790.32992340005956, 790.59664396183246, 793.00695410281446, 793.49010110767813, 793.52328271540182, 793.60187977387523, 794.40167633945339, 796.78960392091346, 797.05085485353811, 797.09616226853439, 797.80601298567387, 798.0211821197571, 800.90617249162869, 802.79650767664964, 803.30567244060887, 803.39722424332138, 804.6338027235289, 805.72398873142879, 806.65625093940571, 809.57371553725909, 809.66396269849054, 810.39082050073307, 810.97114156272221, 811.06417575070429, 811.1455472899803, 811.25190564703655, 812.05030183315728, 812.37635328153442, 816.82811032636744, 818.28947134807106, 819.86284749372271, 824.54316248118278, 825.45378077258454, 825.87032408257198, 826.19955974391223, 826.29262285903928, 826.32320556173261, 827.2485444450208, 828.01767292388718, 828.29364396809615, 829.16534600575596, 830.83864926496892, 832.90420551522413, 832.99572211243026, 834.94162082709056, 835.50661689636445, 836.51868048109907, 837.16907705254403, 837.43007251054723, 838.12029589434587, 838.87465996937601, 840.73044855659145, 842.24777388855728, 842.94905030501491, 843.57699964212566, 843.73451041953035, 845.9681613123355, 846.35224414022821, 846.67637380862777, 847.53659586594301, 851.53341184471367, 851.85144839382394, 852.15805479623032, 852.32694045576409, 852.5733600899041, 852.96272400809266, 854.65420444864867, 855.62447383523761, 855.68727364934455, 857.00282090155099, 857.51152131896583, 857.72154373591457, 859.99930598733556, 860.78238970133179, 861.17429605690143, 862.11185793950585, 862.20670106810724, 863.16971275051299, 864.20114817294859, 865.16687993438063, 865.55128887777289, 867.38669390540713, 867.65393440420667, 868.35674146193003, 868.71127070249713, 869.27982456666109, 869.37597912673175, 869.51398754365061, 873.47163548456422, 873.71327224792674, 874.19284336023441, 875.3570618182257, 875.67818141709233, 876.13614729990513, 876.69196507810932, 877.64202711748146, 878.34254447877606, 878.51254096880098, 879.20670779426666, 879.51386358470143, 879.93118507863517, 880.36071665465431, 880.59827504570217, 881.91029997538192, 882.13467193362578, 886.24622256148518, 887.33171198021682, 888.16842175744443, 888.69468444553922, 889.49346185521222, 889.97167222661756, 892.27903943376361, 892.59265233293524, 895.0481906523313, 895.47297126078467, 896.19580350819172, 899.50089002814286, 899.80304481697419, 901.95768697825406, 903.17143280777123, 903.34435903710653, 903.58435588197926, 903.72577392561823, 904.20170184499955, 904.59512112746813, 904.70628460677108, 905.58788477235714, 906.35235243109105, 907.17742136312438, 909.87547766912814, 910.51293478758964, 912.98625929363914, 913.26255545393894, 914.83882893049724, 920.15639930044597, 921.13501884677669, 923.25384676492172, 924.76314988206173, 927.19636487743071, 928.11918586519391, 928.33766287203184, 928.74429690751026, 929.36292002383368, 932.65451198519304, 933.57846552726835, 935.29530216778846, 935.88699840002926, 936.15612811575352, 936.47202754505554, 937.54054946578253, 938.80216235543878, 939.23527793081246, 939.26675794054017, 939.84048639135619, 940.01282425124623, 940.08718037169922, 941.05932418054238, 941.57798810585075, 943.26754246423695, 943.93759579343669, 943.97425443184488, 944.58287296095102, 945.14267859932397, 945.65137521326017, 948.97148713001604, 948.99631313196426, 949.6705394166147, 951.02347275346688, 952.21157740961723, 952.26976898253724, 952.73538588176757, 952.97388953241, 954.22392175316156, 954.5634285976613, 954.65745271649689, 955.65034705014762, 955.85359129936137, 956.10283737120301, 956.18352874088157, 958.68512308623929, 958.764089047266, 959.3808018439687, 960.64085196942278, 963.23176809506799, 964.02701988467049, 964.1977706522739, 965.56524083696911, 966.26725275181207, 967.84939990230646, 968.85446611601765, 969.11837953543318, 969.3058862559119, 970.61320991912396, 972.0471358523555, 972.9579290959731, 973.94058648140106, 974.70741342390284, 974.9539867093697, 975.54688364309152, 976.34488076011758, 977.34842339332545, 977.45212092490965, 977.77742272303635, 978.07441177756573, 978.30866627031253, 978.53977695975163, 978.58460888673449, 978.61872352272258, 980.63967029368962, 980.81084842842597, 982.00975535028374, 983.08481081574041, 983.70850240783579, 985.00925686918629, 985.08630477071756, 985.34705066235426, 986.43380214581396, 987.87635084276258, 988.50915880673926, 988.79342679295507, 990.3474639778068, 990.72184543816888, 993.84528335624941, 994.70299105873903, 995.32273516052578, 995.35803978940226, 998.28519776583551, 999.05921766981214, 1000.9673968189694]),array([77.243871355413631, 78.182113651775751, 80.146444322439507, 80.364271585536855, 81.685974302043462, 83.314090562992192, 83.54628526983214, 84.732759645276971, 85.373213782719944, 86.272301069473983, 86.510633418526439, 87.230149137252866, 88.580501480313359, 90.004324042645678, 91.596866577747804, 91.970932732357852, 92.706009288993485, 92.870840880003428, 93.246281181654027, 93.310807319124166, 94.805461846222144, 99.075349561202785, 99.271096924337513, 104.62979594128923, 104.99316271678184, 105.07121424994547, 105.36354065772244, 105.41280644511838, 105.60895448382058, 107.24930624568172, 108.34537401698067, 109.01001614496015, 110.45280087997278, 110.73500988306606, 111.16920377355267, 112.91412934962086, 114.21853889050641, 116.15724407750363, 116.18644775626117, 116.21981819374946, 116.63551990699565, 119.27584599171057, 119.33924700360747, 121.68161687397124, 122.42118419479588, 123.77676453455119, 125.39451258022663, 126.42680377160286, 130.27076172185062, 133.04779998533834, 133.73917140573278, 134.43996318087099, 134.72635732215957, 135.84296214205375, 135.91470994863099, 136.47324414113882, 136.56456510797963, 138.90686191978733, 139.08110487869354, 139.31943080269676, 141.13854476716332, 141.90687172684321, 142.55391817490471, 143.60178503839217, 143.90950672749449, 144.18189414852699, 144.90148987425414, 145.27189975375398, 145.81241295699303, 146.45390157692825, 146.9002661361252, 147.26100842841979, 147.69994533134891, 147.83863471198325, 150.24706227407657, 150.87282194232236, 151.03990377832451, 151.965609158098, 154.51077211963633, 155.69464218865349, 155.94115564054982, 157.36381253181048, 157.51502104545227, 157.83825298106387, 160.05410150084674, 161.60005544339327, 162.06738172895393, 163.79037703523517, 165.82858319920405, 167.34951680046299, 167.99679333769555, 171.77556570250621, 171.95737036227305, 172.14436124220487, 172.29671114741609, 174.04498133593864, 174.39019249151346, 175.37025903554621, 175.40994995183078, 175.96760410864928, 175.99985037048106, 176.11102280485804, 176.24653814944284, 176.96712567759403, 177.12588552158394, 178.86250018845411, 179.30275483217852, 180.02821954273912, 182.02455532099233, 183.76850330366017, 186.04798815957454, 186.42375997121019, 187.11085714385445, 187.52782625592906, 187.94871597456154, 188.38931122915605, 190.31018771797366, 190.91848520053233, 191.05717587106986, 191.81685033383189, 192.67789734773649, 193.68568352034163, 195.83793990037245, 196.33549311286444, 196.871702912758, 198.10764612779482, 198.1351450090271, 198.73185337363029, 199.51361930622082, 199.58074484534123, 200.3454650982514, 201.8118264960807, 202.17888564998054, 204.51251201613857, 205.08839092952127, 205.53618649382759, 207.65567788393912, 208.08853563644007, 209.43709795154439, 211.26697074171656, 212.20079164644594, 214.32105365978836, 215.24580823838892, 217.72906997505595, 217.98696433224788, 220.42516623791084, 221.66497601219746, 222.36331681660045, 222.4193297759291, 223.80005129811363, 223.83834215274348, 224.0752781217702, 224.70635025936528, 225.87126721404246, 227.3348401796743, 227.3589102518892, 228.25924884773397, 228.7258196704571, 230.19189552023494, 230.57305368521742, 231.00668473284759, 231.3755765154535, 231.67032454507739, 233.24148762796932, 238.24948367576707, 239.81677345385822, 241.10099093193782, 242.35240410950851, 243.24175103360309, 243.29306575052044, 245.40115145190578, 246.54554483124835, 246.97445097222212, 248.26629012835596, 248.40680769520802, 248.75786117429635, 253.47894146455963, 254.13015305460374, 255.76267727719335, 256.74997976845754, 257.72472281826271, 259.21949572539802, 259.43564457700262, 259.90624039877201, 260.59602305633268, 262.44054401787128, 266.14705849250913, 266.93670184432415, 267.89721896470593, 268.76194585670061, 268.84228017752315, 269.0219193583315, 269.7842193280859, 270.44158515814263, 270.87342351500547, 272.04719752894545, 272.54170894062423, 272.95408538849318, 273.48293424777074, 273.89509769164698, 277.10259191250645, 277.4035184748252, 277.81654786361639, 279.18529268258487, 280.93934972485715, 282.44993492838466, 283.23382646242044, 284.4569369840338, 286.11991710382381, 286.17064261876862, 290.73135535930879, 290.93143664417727, 293.39533713391376, 293.52256975094184, 293.55476574465757, 293.74384692141365, 293.91163440558165, 294.89037139902342, 294.96120047723053, 295.62785026953583, 296.51496955560077, 296.91113429048522, 297.49349704752558, 298.6019329503884, 299.35198684580365, 300.54609758255674, 300.58771342106411, 301.99045083955968, 303.52290504839812, 303.58759724154834, 304.21308612318012, 304.39023177909331, 304.56899447772474, 307.1257678428118, 307.6938494514302, 308.64608564014117, 310.39087659154382, 310.6718284642144, 310.96831738857992, 312.47913986613423, 313.1043130621818, 314.23031763151067, 316.55192705486496, 316.94939651696228, 318.09183133432578, 318.73836963562769, 319.43645648933142, 322.13663078378517, 322.6473504341165, 323.81634464152415, 324.06300656699278, 325.98593428617272, 326.15627893935931, 326.24361064073577, 327.11607230877587, 328.11021515079625, 328.28504708416443, 329.04247721274265, 330.45641890039167, 330.76824232104155, 330.97213799038019, 331.37760410254151, 331.78815043397373, 331.97154218637814, 333.33990492716714, 333.9127494157982, 335.66397538569697, 337.76868748693613, 338.2306061167244, 339.29869098111828, 341.20054348229462, 342.03011462778238, 342.99776184620202, 343.57059321128838, 343.79780440757958, 344.1912094501584, 345.25638254139221, 345.29044026575139, 348.56873067715048, 349.35349935644444, 350.09055611174432, 350.54305703463825, 350.69610817328123, 351.05545051792461, 352.73029499954885, 352.92235242354099, 353.97514787846575, 354.84413751395766, 355.69975418944904, 356.81929854986885, 360.53757388065077, 363.86146453444655, 363.94444781878758, 364.38644216773451, 364.54884482443452, 366.52353786996002, 368.63531280573125, 369.67050816366674, 370.17049844619908, 370.51021741835439, 372.03972405428414, 372.15845928521844, 372.48679915143128, 374.89866167860077, 375.93391951178501, 377.20114247669613, 378.11306209717452, 379.12573441195582, 379.6836863312617, 380.5094279894746, 381.06425416401765, 381.47045286170732, 382.99650079987578, 384.21374880196316, 384.77267057067155, 386.75177906800337, 388.89539808614933, 396.89546302803632, 397.23935147291542, 397.61123546506929, 398.79825861871996, 399.06547090495184, 399.09450993313015, 400.06141444351857, 400.37560925609534, 401.56515068027954, 403.0558394133152, 404.02730059642181, 404.86105604799837, 404.91492942522444, 406.10627312673205, 406.47679894288183, 410.62354149968814, 411.15359255762621, 412.17339087301394, 414.2299405479551, 415.17695971295012, 415.53990021109314, 416.95230948014989, 419.7729120128331, 419.92749525334534, 422.95202454910321, 423.6527733600127, 425.54999401146438, 425.88556547339948, 427.10453736991525, 427.69855150160748, 428.79349491236479, 430.06093200263143, 430.67530851679578, 430.95313941190187, 434.10057897373395, 434.27218440095675, 436.80341400309311, 437.07504025935265, 438.30434052148928, 438.42921887965656, 439.03237652115456, 439.82816085070471, 439.89281836255861, 443.8942824636012, 445.96813880581215, 446.20679069223354, 446.31961614365071, 448.99949712752641, 449.02291169456782, 450.15169803589453, 450.28197444022777, 453.23744325447819, 455.58256871468978, 455.79181916115147, 456.39409082132988, 456.61530564403898, 456.98396985494657, 457.86428403880382, 458.2929758833402, 458.79452330473123, 459.049900456145, 461.38421682901406, 463.54471526882543, 463.81514324239845, 464.3132650801457, 466.23194496657607, 467.05900830712972, 467.16212222512371, 468.13943362372521, 470.23901111694579, 473.23096139947086, 473.92646495236471, 474.40784166616305, 476.71338323633353, 478.25328463320324, 485.3518579516325, 485.66466339582291, 486.64436499990109, 487.41186268424451, 487.66706274262629, 487.82439881247677, 487.94503547464325, 488.5049055646686, 488.86368419091531, 489.41723863960249, 489.89877155975142, 493.32985640995435, 493.96556446552142, 496.62777918500973, 497.38952648111439, 501.6462363456576, 502.20838109311029, 502.38955779596495, 502.503082174822, 503.00592379100266, 503.35804548144637, 503.47118114980361, 506.00847029233171, 506.37946943784641, 509.32827433154569, 510.33791069873354, 514.53435280383349, 515.3203748460212, 515.43622753393925, 517.78801958422957, 518.17062863617411, 519.21501570319094, 521.56611108233938, 523.18593010313157, 523.89259888469223, 525.84402454772419, 525.94792053261847, 526.2487686038877, 528.44897525215208, 531.3614665873265, 536.49463170933348, 537.585372619959, 537.85197474928088, 538.63401454951941, 538.79345044158219, 539.19444283777113, 540.60656250100601, 541.53617405343414, 543.22688517611311, 544.58855780583656, 545.29163213227434, 546.86404007855879, 548.58916509996288, 549.06209385314367, 550.52477174228875, 552.75430749429518, 553.48126876982269, 553.62349123567913, 556.32357532048422, 557.81016758339001, 559.98862335295587, 560.03055100187339, 560.15601404453776, 560.18547946252863, 561.88896295875259, 564.32401774993139, 564.5708430883974, 566.16170200681438, 566.29895041495536, 567.13985127769365, 568.72919933815206, 571.10132769240636, 571.67245187779338, 571.79365755996196, 573.35619151219362, 573.72933811140911, 574.14823391077869, 575.19409510903984, 575.89241166215481, 576.42797734858027, 576.90580497357348, 577.07888094235454, 579.23354463798853, 579.42801193570438, 580.40462323973566, 581.28001895911245, 584.05542089984579, 584.84005528603723, 586.27997292366956, 588.11985844632261, 590.22069962373928, 591.17986745539224, 592.95061867674303, 593.67552846250555, 594.62146950594035, 595.88856288617933, 596.05308754071177, 596.48351447675566, 597.13876043406344, 597.78105409541399, 598.01178379613032, 601.02349292567908, 602.19491272426478, 602.51181230360351, 606.07706886424955, 606.26108574048897, 606.77904092287906, 607.03249918463257, 607.1153381253871, 611.50743031048955, 612.22600034355833, 613.18918097960602, 613.49976809426278, 614.1062568165338, 614.51308993794964, 614.59207836947849, 617.46354464024614, 618.44740666021369, 618.52760833114803, 618.59993245813007, 619.65542311340687, 620.57376765376159, 620.86096995391051, 621.29348381083912, 623.81166549501609, 624.1614675515325, 624.25550206888124, 624.78432204143439, 625.50667290845479, 627.63351018157948, 628.80962663562673, 629.4501204424854, 629.79744747084578, 630.41121747238776, 630.59067085095148, 631.37669630468088, 631.88323720494475, 632.27095863883119, 632.8598326726185, 632.93561713587542, 634.94380630102251, 635.11609266120354, 635.98517950925998, 637.65791080700558, 639.35970782573793, 640.25340006875876, 640.9253978546252, 643.17332261124932, 643.41333801576968, 644.82047443727515, 645.03175883444146, 645.94648486034009, 649.1434600344412, 650.37853622356249, 651.40571877395246, 651.43321397894965, 652.24678552601745, 652.62187846319864, 653.57591421927259, 655.09259148846127, 656.44448326614918, 656.5104730959697, 657.22206161732129, 660.96431353962339, 661.57936636765692, 661.6646302201375, 662.10053922644101, 663.0338208616671, 663.54323606332366, 665.03924852822013, 666.21400629957157, 666.59680181708939, 666.95555114911156, 667.40163059833696, 671.08123894647008, 671.1246303840777, 671.74009399243187, 672.04868886030999, 672.07111079408878, 672.29583572720708, 672.63713892477801, 673.15893361183623, 673.25176790827891, 674.33765197748892, 674.63394722498629, 676.4966987023605, 676.88334616094892, 677.60174915056837, 678.68533729880107, 680.71726824616735, 682.05273059404101, 683.08237629492692, 683.58856481673388, 683.80765410076231, 685.90441283473797, 686.09718260993054, 686.98893997789878, 690.59310500094136, 693.66597869870247, 695.14941356414124, 695.81096422245128, 697.476284168402, 697.96474771690634, 698.65330934498593, 701.71609349282062, 702.42823693395815, 702.86430297059951, 705.14336299125875, 707.84604917596835, 708.92726729890035, 708.98796852538339, 710.64675349958998, 714.5665490427881, 715.3069307625035, 716.18872498832525, 716.48788800717, 717.13600574176985, 720.1570777832676, 721.43774649214038, 721.91626996248544, 724.32455993393296, 724.67043471024476, 726.82747754284287, 727.05502943618296, 728.28039763696097, 733.61027834682386, 733.99058030773028, 734.15512103948868, 734.29087094485067, 735.00106611202341, 742.96229085630966, 743.26416631916356, 743.94548235953198, 744.1706390319863, 745.13421804881352, 745.37872191712506, 745.85636681636799, 746.03159853703289, 746.26609521280488, 747.72057274649194, 748.98695619406863, 750.20213398150804, 750.58522360417692, 752.00134373033791, 755.01196602474965, 755.16256884716279, 756.24289421194976, 758.63607090275025, 759.86802624473739, 760.22522179193925, 760.27598350348967, 760.4477270724002, 761.4721878935502, 761.52007727977627, 762.11720664691268, 763.61656281855244, 768.13032272778014, 769.92790201194339, 771.71939896145466, 772.69302029606467, 773.0311611480995, 774.3803727076596, 775.66314578103174, 776.87366424752167, 777.62735742621135, 780.03353701807566, 782.00749426110463, 783.02404833970718, 783.27136996006152, 784.4567969366085, 784.73580708977761, 784.86351109710847, 784.94062588378472, 786.51628168077639, 787.15620258318734, 789.95716396210548, 790.53901231000816, 792.24704424532513, 793.15911563359441, 793.31910833902498, 796.0489986672851, 800.69675593125737, 800.91856651169496, 801.71920640318194, 803.62427564539928, 804.4698467788304, 806.03268384301555, 806.08129323781736, 806.78264479507277, 808.3569404102816, 808.43405381006608, 811.13506382215121, 811.43865553903163, 815.79976945423118, 817.14900447800744, 817.48836722130613, 820.6127592779294, 823.23353175213003, 824.25053783131341, 824.91206272647287, 825.13460907294052, 826.1501153933616, 826.37768364964722, 827.31133091271158, 828.08160695002459, 829.824408025857, 830.71607820914699, 833.09306493158283, 833.65021019815731, 835.46796864205521, 835.68884456397939, 838.10242223657508, 839.01606784745024, 839.84542011891813, 845.42540933675582, 846.73119605730426, 848.35762165082861, 848.82734617163919, 849.63529892531096, 850.97368094326384, 851.09390975293218, 852.33676795422025, 852.88784334344712, 854.68898786940781, 856.56158683678507, 857.18241766125118, 858.1583169593772, 860.12079185455934, 861.06063533430563, 864.01937957161795, 864.13527112974805, 864.25185790190767, 865.70679101500946, 866.34997100560122, 867.52157680624873, 867.96998367793935, 868.37733543023921, 868.6092773921082, 869.4540659768096, 871.94697158417569, 872.19836676902548, 872.33789140075567, 872.79253433474071, 875.07094829453331, 875.45039952625052, 876.23105396184337, 877.04012142490171, 877.08263127472128, 877.64606055636091, 878.59392602297066, 878.6506422446447, 880.21534031476097, 881.18459827380798, 881.82534343264797, 881.9005410943679, 882.77270231394255, 883.79220483055826, 885.48487916467946, 885.92023908797921, 886.33859516339703, 886.38767238450203, 889.07939911706671, 889.10888776990555, 889.48201409523369, 889.57542941086285, 892.88590149857691, 893.18137716673152, 893.77799386229003, 894.33710185692905, 894.46704035354503, 895.96689705084555, 898.65924222422291, 899.1717806887201, 899.90184946722445, 899.97031452525255, 900.81632611446628, 901.62833231934542, 902.39488165454702, 903.84950488142124, 904.19728420362105, 907.65257911008166, 908.22482512160127, 908.52963673656257, 910.64101499017499, 911.93796816841393, 912.26471311130149, 913.91618988301786, 914.77103875890464, 916.38681194097887, 917.90234808925686, 921.77613075665931, 922.53771320783619, 923.12116179190343, 923.1782223402098, 923.31986924613352, 923.69742499579399, 924.26149648780779, 926.10765275823428, 926.32651356549911, 926.54465056222341, 927.09762653246571, 929.23756005714381, 929.87984692503767, 930.18998215054512, 930.41104961595829, 931.05710745316458, 931.69980666561901, 931.79562782454104, 931.96240183868247, 932.26397774774955, 932.57167020136819, 933.35920347184299, 933.96320949831124, 935.38117656693601, 936.13238560341733, 937.04093507161735, 938.61249904881436, 938.65248240910751, 939.39666646796354, 940.04707442869415, 941.85137863325576, 942.20508524603258, 942.47812197523729, 942.69304591624029, 942.73588807860972, 943.18329622512135, 943.42788982450668, 943.48007491941098, 944.88861583194796, 944.93021974763519, 946.01346214101159, 946.04527587269092, 947.04684553048787, 949.62500362357036, 950.04884586689616, 951.94372378722983, 952.51974152909077, 953.4508053527436, 955.0737095008293, 957.60203837134463, 958.79737025771385, 959.08623616268949, 961.57592880623156, 962.37518606215792, 962.60724807075337, 962.67429747093558, 962.84335118001104, 964.26967050049223, 964.51663326977678, 964.92585373159136, 966.62784692436708, 967.50643474515732, 968.74146457649431, 969.59443432992646, 970.13745004303439, 971.55099743697474, 972.04449291273977, 972.96264961742474, 973.47492810474364, 974.51173697722857, 974.71270100663935, 975.66598716470401, 976.71805840077627, 977.40855119536957, 979.07853497182896, 979.49477831077331, 979.97582087427497, 980.45753531323408, 983.25311712720566, 983.59716509034502, 983.93354766729647, 986.58875250662857, 987.25263767603553, 987.74451098931195, 987.77874254502694, 989.2965870299638, 990.16166345827901, 990.43738836109094, 991.51474122172863, 991.72508392832526, 992.6854612986142, 993.34077181261193, 993.41479718334995, 994.51713465884222, 994.69112614289872, 996.75084425510784, 999.5776912336994, 1000.4710998500095]),array([59.844779356736581, 60.418509741752239, 61.136113247131874, 61.236850076586023, 62.197889604760391, 63.755850111206676, 64.241645430112357, 64.45973418772293, 67.537067947046182, 67.612379152577503, 67.757725466619164, 68.947719907798344, 69.643391532059439, 70.522358500003975, 70.682121328078011, 71.143747738385784, 71.478454599865699, 71.868090574524658, 72.444451875962329, 72.935310198320749, 74.002972826888396, 77.478853117909637, 77.664628294671672, 78.150458360912978, 79.385592112838921, 82.522620501743418, 82.553212442606551, 83.923810919910281, 84.83344469996706, 84.943931262820726, 85.960031852739874, 87.108300259618176, 87.259996488655148, 87.941313247503501, 88.575453850387717, 89.045200958888159, 90.249711602223528, 90.372485893701182, 91.271399651662946, 91.811274897222148, 92.195787157576419, 92.396178852714812, 92.475756333821138, 92.891380204553499, 93.375011771788877, 94.053732550392709, 94.507362271137055, 95.735614462416095, 97.350356002841394, 98.55371127529466, 98.745026650755605, 99.42370822476569, 100.07300192153093, 102.63224700018139, 103.90013675556992, 103.94143751208345, 105.28302845892236, 105.80997167447212, 106.27017563359588, 107.09673440002821, 107.79189087375035, 112.00563921753557, 114.66916313433552, 114.98492859079821, 116.40560630947375, 121.92831249198578, 123.72554175583235, 124.00602580770709, 124.05544719187991, 124.81888651602812, 124.89503142742852, 127.09792523435188, 129.35993238471482, 130.5364294485212, 130.88619295498881, 131.60463329754194, 132.27172178267296, 133.78758473186187, 134.10450236962544, 136.5216484430311, 137.24793285665029, 138.01526191944225, 138.13379161114179, 139.27195480991307, 139.73290060487051, 140.77734479325693, 141.0208311374962, 141.10317493454954, 141.33927809056721, 142.65328566138228, 143.59572963773965, 143.85070977151929, 144.05101466706077, 144.87603526111994, 146.22807150151993, 146.84033284812011, 147.26939542122184, 147.70986735132422, 148.21519000632395, 149.52014331946526, 150.4429543683255, 150.66174788057427, 150.7811694792907, 152.64707111829719, 154.52782579782223, 156.06418538690698, 156.23729551819153, 156.37444046726404, 156.42076023547946, 157.37784676713505, 159.22336558477576, 160.92654453688053, 161.39603830370314, 164.32784301162556, 165.13688386939114, 167.05815893836137, 167.72593804906663, 168.335234110697, 170.84138388468821, 171.23497197393098, 171.55625306391673, 173.09132801248396, 173.31307452471336, 173.33605200980631, 173.74017467211445, 173.83662498182881, 174.49871966032956, 175.37535198556921, 176.4989299047478, 176.93914473799583, 178.40039034619471, 179.05143431228495, 179.09606815329369, 179.46212937725923, 180.05236525578562, 180.09554050805303, 180.68362823689071, 181.08159899928708, 181.65674130316481, 182.7866236971397, 185.5992665681427, 186.2982605280761, 187.41052102888733, 187.43914676920704, 188.345065964284, 188.70494921641185, 190.35853990765986, 190.49860891963959, 190.95310173935465, 191.56599363014089, 191.65742658424625, 192.42268957621587, 194.68300245476499, 194.78373887745948, 195.80686578372334, 196.33254477873589, 197.64582896578804, 199.11442210924622, 200.34395142904307, 200.37451413538426, 200.73871348094144, 205.41915064306187, 205.83149992405842, 206.47288726293061, 206.92582720581746, 207.49397916162152, 208.65425183249849, 209.92382850570439, 211.77101023468362, 214.49233472541889, 215.58724834015007, 216.54136550486189, 217.77845640413383, 218.03116091337071, 218.07240388066836, 219.20295309255334, 221.03092929649145, 221.64872400915917, 221.97224919479422, 222.00002318692543, 222.89350431844599, 223.55026897079438, 226.56387069185348, 227.02101832841072, 229.25751907790274, 229.53964567913016, 231.14574277834245, 233.22092566731419, 233.46783714313963, 233.81583030165135, 234.49184409311044, 236.59806216844794, 237.76428571668703, 238.17789172633456, 243.41875995400437, 243.46130970396169, 243.83579601509047, 244.51164323500143, 244.59754048119856, 246.90710639730298, 248.13888984057144, 249.07717909786413, 249.96407669978771, 250.1827057469645, 251.2603519242393, 251.49429786210774, 251.93211327092314, 253.42035516614214, 256.43708032341988, 256.93248115871211, 258.12455849024099, 258.18008387888324, 258.54478436498181, 258.70210840181716, 259.96415137980784, 260.1990176223573, 263.9918934386838, 264.57492198725242, 264.75730699372218, 264.89671736558978, 266.3981718231131, 267.0871640391199, 268.54149434690959, 274.00093021420292, 275.04112684423842, 275.74718212571258, 277.19017421384569, 277.26420857885614, 278.4801279385054, 278.6313234932835, 279.84324672437708, 281.31502687587584, 281.34236952623115, 281.55089137930077, 282.21450677491805, 282.76269387416909, 283.10561483637525, 283.59686671804644, 283.71875298795635, 284.94844717070004, 286.24077755718451, 288.01133870485654, 289.7922042761374, 292.33186991036541, 292.54282644478542, 293.17122821523088, 294.7368396132286, 297.26529418022386, 297.94344340280759, 298.15831789232584, 300.21388846116918, 300.93460176315546, 301.1799539314103, 302.32696628314227, 303.60115809567736, 303.74166311744312, 303.96416877771236, 304.06409090240021, 304.20396120170932, 304.8659079189008, 305.67126230338562, 305.96368276432656, 307.34462024307379, 309.24142336826122, 310.0204465430329, 310.89633356653104, 312.41268116489141, 313.71091443497914, 314.17198655722837, 314.55062135700166, 317.72731867714981, 319.15812906413777, 319.33297312059409, 320.1839350385045, 321.42145753199543, 322.86734026951825, 323.02366681111698, 323.67481939960339, 323.71917722447904, 324.40513814815858, 327.59816530951639, 329.17685171171593, 329.22422242177839, 332.31366190910683, 332.87462445484391, 333.19578631069896, 335.07426562786907, 336.11949856809042, 338.088395847068, 341.07125678624152, 341.31705075680452, 342.42317320095088, 344.61075811552018, 345.23780539929214, 346.85902583812936, 347.41353347980521, 347.64117929094533, 348.32140536716122, 350.88808702357119, 351.17539453947506, 352.77347370094736, 353.15637131860905, 353.61204923847276, 353.829439438154, 355.79077133391206, 356.61142655710023, 357.25473176549241, 357.50042926349937, 357.61386008075226, 357.6814352517946, 358.10298846542645, 362.06499866236049, 364.32691752090761, 364.49116255490736, 365.38780183352389, 366.81150067030615, 369.44751397665112, 373.80649722605034, 373.98384458023855, 375.06312442685163, 377.02361900985136, 377.49313699184972, 377.58588469426411, 377.85518331589969, 377.89588003993055, 378.05869593253271, 379.30772241108912, 379.73279239742618, 383.07280052843237, 383.11629301820926, 384.87772642898074, 385.69316889625946, 386.03929736639623, 386.30507447708322, 387.06306073046011, 387.34449466816778, 387.53546338180706, 387.56290048334029, 388.85598544749701, 392.13541272182141, 392.60065026403777, 393.72154979934481, 394.62508167330208, 395.42547298507907, 395.61685083221403, 395.72138180305842, 397.7923688155293, 397.81765325714969, 397.90753902865612, 399.03088172598655, 401.68694035732642, 405.79184971543543, 406.84877202132293, 407.1443054636112, 407.35249032816841, 408.45658303853986, 409.75200037221799, 415.0216596628016, 415.07751778012118, 416.65936946483981, 416.88664413524037, 418.54829723071543, 421.70582305812388, 422.47692529725049, 422.83392860863211, 424.02906540657386, 425.33847223137064, 426.73048441365177, 430.60436232930795, 431.00991983381601, 431.08151268262691, 433.3647238270006, 434.27192025456009, 435.04989752580855, 435.38362461822834, 437.27288858847197, 438.23753449014265, 439.17003565944964, 439.432079695082, 440.36332412520164, 441.18009914902677, 444.78865144336822, 445.0193414752224, 445.21931857652174, 445.74676642041936, 446.80381622224616, 447.00155323783025, 447.35105438449148, 449.10537269589361, 449.17244262284555, 449.44272051274203, 449.95590237323881, 450.10651559957472, 450.4395775403284, 450.63042402600149, 451.59803886445098, 452.10850878253478, 452.56735717305219, 453.09011350172079, 453.64903366610531, 453.93514597427975, 454.00003862756489, 454.24854836808998, 454.40393689209611, 455.29443679889272, 456.44970855894559, 456.663414860616, 460.18440239494936, 460.5060276986664, 461.97874593139539, 462.6246789598805, 463.24296931334402, 464.46163801594764, 467.03056948132109, 467.1860039402423, 469.09360353062817, 470.7337491091775, 470.86879419938958, 471.31359664843876, 472.2049933277396, 474.82894211712056, 475.0067739909091, 475.2349917334775, 475.56361752248574, 476.07993801324153, 477.30085260461919, 477.6904682042595, 478.50282875601198, 478.84560986557585, 479.08966688585485, 481.07657801725162, 483.63792333166197, 484.6167153343311, 484.95083983641143, 485.48581376719005, 487.24593864859941, 488.21301138829512, 489.07541359150781, 490.06014577190092, 490.95004759456327, 491.21325504410959, 491.33920885333589, 491.3941431962262, 492.09012301689728, 492.77978123915852, 493.061873967807, 493.32377756288668, 493.53727223375358, 493.86279376435471, 494.96790734340681, 495.37488816006874, 496.41809614418037, 497.03855404785401, 499.93968383975238, 506.24683791986058, 510.37965470229301, 511.25325789560731, 512.27853551527494, 512.33058077052647, 513.86290329036831, 514.01677385057724, 514.43202645742872, 514.51929465773901, 515.70529218136494, 516.74503794436828, 518.43091970381352, 518.88157256883062, 519.21487368026271, 521.19647563261685, 521.54550151241426, 522.26081286052715, 522.48341953169552, 524.29814951501623, 527.22036794851726, 527.96965712801853, 528.26984336141095, 529.15023575309328, 530.05075675095463, 533.98990468045315, 534.19535033451109, 534.71448893820093, 535.76886405368987, 537.22811910372013, 538.58121905544238, 538.743853769932, 539.31746537748973, 540.24578815951406, 540.61252886399666, 543.08840946370537, 543.33075680507159, 543.45581566050907, 543.48388001422791, 543.63284697148049, 544.19389040080557, 546.54625442829933, 547.63053483093358, 547.99384879717638, 548.56516381649067, 548.74815110367842, 548.94285987578701, 549.12748085348687, 549.83785600596138, 550.21954903326241, 550.90068800639062, 551.22624326259461, 551.62360428999398, 553.05999285514008, 555.99035060503661, 556.36352073585329, 556.40352100355449, 556.70843829119315, 556.85235312723557, 557.97874812691816, 559.45368896430716, 562.80299945261129, 563.63749564046111, 564.38343359360908, 565.40008944584429, 565.92219192508776, 566.45065626597295, 567.41332264179198, 567.46324274829954, 568.68701925457492, 572.96100553391159, 573.6888787132898, 574.76046049814875, 575.50453452610532, 576.17941927799461, 576.31296269458653, 577.80773401326314, 579.49212144015121, 579.68571113950611, 580.47957370312429, 580.54294770554759, 581.1617024218848, 583.62767359823499, 583.87804025929449, 583.92893951303449, 584.16762178205784, 585.25704967029731, 588.73226347370269, 589.38785383508161, 589.79050881173862, 591.81200215775709, 593.78635031290241, 593.85841621033694, 594.32202125962715, 595.87379664013599, 597.13741417619872, 597.7755949617117, 597.79631428682228, 600.71844390850731, 601.16708304772658, 601.69712696698821, 603.64469885692665, 604.89920270756556, 606.94924113092691, 607.37365850221056, 607.64946650091395, 607.72155731570945, 608.81790699047826, 609.77807171724214, 613.09376768101788, 613.59442494870245, 613.96701213432334, 615.36274359443496, 616.87689484517693, 617.25046596051141, 617.51016943589138, 617.82256848197176, 617.85637707074955, 620.38777833654183, 620.44193303147119, 622.72882911464694, 622.91574634687549, 622.95895182248989, 624.70479656097837, 626.0203550438149, 628.59422763096518, 629.37944997687839, 629.68964107162708, 630.25434758510494, 631.32012314968131, 632.55754468224052, 633.13395032394044, 633.50920322397189, 633.63841592368237, 634.42670943895837, 635.96826270648114, 636.46617696306998, 637.98863921633574, 640.62346654101952, 643.33655373094678, 643.62476374277526, 647.27327351369502, 649.13357924975071, 649.58301341665481, 649.68577050832982, 650.31347006124361, 653.34067636843565, 654.09741384741665, 655.82208941739475, 656.18162456979189, 656.48141543446809, 658.14967303914921, 659.56303724417251, 660.02901707105491, 660.13927473734896, 661.94800232432874, 664.14867738117221, 664.29151805653203, 664.86133781653359, 665.40434006594251, 666.1586283919396, 667.5888531263148, 668.78042023254636, 668.94692006838147, 669.24520050727494, 671.59186147894422, 672.99690583915947, 673.26807357712516, 673.62300573522646, 676.32220989649875, 676.38835310050729, 677.79460403203791, 679.7609437596526, 680.6715463073034, 680.89433866681111, 682.53422010069119, 684.47667844014904, 684.65251808386415, 685.8821894811914, 688.63277996218437, 689.02570381858447, 689.09906621813298, 689.69929905220829, 690.59660160532542, 691.52024262940574, 691.998688829711, 692.75379898366521, 694.77023356971984, 694.81989271742157, 695.05922327371059, 697.594020685391, 697.83457665178923, 698.48831413891662, 699.83208140358283, 700.41503055420026, 701.39265190984463, 703.89942759103747, 704.32038880242715, 704.41731361952236, 705.72703914342026, 710.07589312915798, 715.8387239115616, 716.2522990183794, 717.97930571138158, 720.72810966396048, 721.30055685740717, 722.2640282803128, 722.33819699137541, 723.56856812906574, 723.6037848485222, 726.3683660582559, 727.02650396874424, 728.2290009236724, 728.84700690186298, 731.49140946217221, 732.22842913171223, 732.9335553578286, 733.45963703208326, 734.94962737658557, 735.32626879247323, 735.67098502578028, 736.9349042563498, 738.03545981205787, 738.15741763677374, 738.20441986886613, 739.1747707958225, 742.75449716904723, 744.08157223123283, 744.88963179634629, 748.55464257323297, 750.34591412348004, 750.45500597879766, 750.49181507488595, 750.5600341935841, 751.13931012940191, 751.90446507486843, 752.05196380680923, 754.13344860338702, 755.67301604429349, 758.76310452965879, 758.89645614714186, 760.40567085914984, 760.52376748255926, 760.70721506615644, 761.29427722732464, 762.27979301965297, 763.64656783561713, 765.08581792934353, 765.14811586850306, 766.45973958935485, 766.66782912133772, 768.67055688824939, 770.7614614110297, 771.03971311030796, 774.21445527801791, 775.90525406101392, 776.33413165736647, 776.63770712737778, 776.97597851911303, 779.39388260814405, 780.76591392140381, 780.9983510065548, 781.08196699032351, 782.31454147063016, 783.75206766549866, 783.97545711756459, 786.78686826402316, 786.94811802612435, 787.13616769210978, 787.65099488445207, 789.16783464794082, 790.02839383125502, 791.74615456777678, 792.07666843428808, 792.86559904288436, 794.26266482660151, 797.30987328053379, 797.39192888172249, 799.25741560067695, 801.25060026728113, 801.36163191133312, 801.40758170994673, 804.25365989484192, 804.94670706519355, 806.33861102317371, 807.02276495090598, 807.09374667596853, 807.15585624187952, 809.27553403413026, 810.12948251494856, 812.19371744842749, 812.54884777356028, 812.8515274570774, 813.85503599489118, 820.00224186634102, 821.47078359986392, 821.68195876289292, 823.27089234576727, 825.03909860853821, 825.07049842401432, 825.24856682868756, 826.32633752777133, 826.97286816788426, 827.14898286405321, 828.64610323217767, 829.76233596886721, 830.83068593330665, 830.9639842470973, 831.76408847346534, 831.84745487233795, 832.59691899628081, 834.17738847278054, 834.38466281917556, 834.58229629770301, 836.09508494723207, 838.44389500557452, 838.66985941882149, 839.36538764114459, 842.83870467849476, 844.95189305971132, 845.92012364597952, 846.92389290129995, 847.20807938720213, 847.45339702835429, 848.92810251718379, 849.97490129407811, 850.20791322401305, 850.44825264196925, 850.63105628959875, 851.50345430092977, 855.22402123596419, 855.26622112380937, 859.16312118609312, 861.54495748171632, 863.21634132695272, 863.48675474828406, 863.51965175553414, 864.30391183904828, 864.87414508225913, 866.27323973974467, 867.94078827636622, 868.21377187949747, 870.45591857262627, 873.76132148679494, 875.05248079842886, 875.09731179164169, 876.88283139972555, 879.7527660575447, 880.21030173498161, 880.27845847925903, 880.94424799503463, 880.98738808086614, 882.0044204113334, 882.18411280648922, 882.35205381536593, 883.69111924630988, 886.05238760611439, 886.61714914264746, 886.84895194086903, 888.10959954653299, 888.52363459965886, 889.31076530003406, 889.87779398931809, 890.16068885535196, 890.7166600225388, 892.01710577727488, 893.76360390012053, 894.70884982376958, 895.09522360001063, 895.99257658212412, 896.80789385073854, 897.42195668885154, 897.63854959238745, 898.92958930869588, 899.7129915737637, 899.78046748269333, 899.80987954891179, 900.42652644169641, 902.09093096450226, 902.84411695480344, 902.89616887331385, 903.3791604355896, 905.37132422765649, 905.49278192458121, 905.55502153155351, 907.16108012183111, 908.14578844577943, 908.67775078280363, 910.2371317696352, 910.32396654750687, 913.31719514238625, 917.13554904668842, 920.01161248356334, 924.27092979847782, 926.41085567860034, 926.61591232780927, 926.71255097438973, 927.30905867238971, 928.02461803878509, 928.11350681960278, 928.23402936831906, 929.66766660741416, 929.81203480676197, 930.22989657050039, 930.97839502081035, 931.97197064094928, 932.04610306594736, 932.63991568514928, 934.08783289583334, 934.1721669081445, 934.39068572608187, 938.05092929526415, 938.14885387511458, 938.64393664482554, 939.04506567082808, 940.19861383142722, 941.10710290489612, 941.35638771041647, 943.33113550692963, 943.63144178154312, 945.91612075624164, 946.84785784335509, 947.59596992975878, 952.12055417027955, 953.36983190225874, 955.27667119334967, 959.93058683603613, 960.26218442526476, 960.43272102945423, 962.47820042758167, 964.43989501840576, 969.21790439661549, 969.8472505922673, 970.16070782722102, 974.56414982928186, 974.66352952281761, 977.11074776948749, 977.68263359293076, 977.98813798773188, 978.30994792772685, 979.37219417340509, 979.62103205117774, 979.75964125381961, 980.53436576327692, 981.57652876786653, 981.94329109474745, 984.04220155207247, 984.06989963036028, 984.47695930032171, 985.07640803305082, 985.25206825563248, 985.54239353577339, 986.73707078514349, 988.23108346945264, 988.72387830051673, 989.93986328708718, 991.08756079788122, 991.15605379237968, 991.37376521441661, 993.71502942950519, 994.57920948834408, 995.12847793827666, 995.16646632744573, 999.34202640355727, 1001.1639088945092]),array([32.548566663733403, 33.855899902142966, 36.051014950798567, 36.242811798465823, 37.686803120407063, 39.348505854774935, 39.798418208965835, 41.459819088976779, 42.005538287723269, 42.245217755510716, 44.056606211851324, 44.576090539329407, 47.285906661466306, 47.897383838354344, 48.340226357306548, 49.939342650961756, 50.265800138985405, 52.145016700635296, 52.778391556629686, 53.654325942419945, 55.390601427578552, 56.81440983268606, 57.502664548179268, 57.977981597743316, 58.850304667492523, 60.47561417994924, 62.974646195072573, 64.483857733584315, 64.863539743342841, 65.669924700289286, 66.388591686894685, 66.515933660608155, 67.324690661401746, 67.881005362459391, 68.094240135539664, 68.381341771912332, 71.635218796108987, 72.708147720514603, 72.880265146880532, 73.252548497141973, 74.325783501389623, 76.217255841293522, 78.286156083646745, 79.681050007868947, 79.704309109860461, 79.998410049941356, 80.734525058921093, 80.898296998944829, 80.963421764541181, 81.936230867672577, 82.50178851120252, 84.54426394052571, 86.426945504562667, 88.443865329276136, 88.680594867887564, 93.031428978521802, 93.33896112476458, 94.119993390965803, 94.860732035128962, 95.598580763031279, 96.25198471039397, 98.527536343083312, 100.36541708824704, 100.72175042712868, 101.01040345885795, 101.43272309390655, 102.68652987420619, 103.82815091349188, 105.87695126053929, 106.91976497278841, 107.16398460695004, 110.37806371863343, 110.76820567450423, 111.34330907953358, 111.80406126405967, 114.69368310090115, 115.46338639069808, 117.76816413422041, 118.69783328633953, 118.76196950095999, 122.98332148006946, 123.80047815849881, 125.53426165368185, 125.56419421388796, 129.72625233394976, 129.9120542046422, 130.11922634011754, 130.69315399383404, 131.20136629283041, 131.7394301414584, 136.10559862348887, 136.43642165760113, 136.83826848896726, 137.35748558716813, 137.92143042809374, 138.04668067138218, 138.18677326086541, 138.22199697418557, 138.40151499635888, 141.08875676513227, 141.37583603019544, 141.70143099710944, 142.71527951069967, 143.50980124052845, 143.60722782576312, 144.13468505124121, 145.266712118355, 148.00086887189931, 149.48582840192881, 150.77111566586581, 152.15978806758355, 152.50694304874415, 152.94590786345015, 154.93878593405026, 155.73895526197583, 155.87069220166575, 156.16948830813584, 156.26116145343653, 157.11089024310843, 158.35738785292716, 159.19984224952813, 160.37264032513147, 161.84550930047962, 162.42593266792326, 162.51126030533695, 166.56940293325962, 166.86973739496304, 167.50284576562186, 167.79329922581994, 169.40617592627072, 169.62822535662877, 169.78933566824463, 172.77742212202401, 173.61150880053125, 174.0375954417344, 174.56514537901964, 174.99057168916312, 175.40325613504461, 179.85879595460031, 179.88950609864318, 181.47704936788085, 182.63158121601748, 184.58384129154356, 186.70315081109501, 187.12997853477046, 187.3478760196368, 187.63646257681447, 191.72378984367404, 191.74432404253773, 191.93731176853629, 192.03507065500446, 192.34790362672095, 195.4843007240533, 198.23762803784001, 198.54993382628956, 198.64711626615687, 198.73845297985113, 199.10883716083595, 201.80467373554009, 202.76137202237996, 203.57861131261168, 203.61316369615292, 204.7686857527018, 204.9533589855055, 205.43198499213429, 205.66159218908243, 205.71285147909137, 207.20363120864505, 207.36490136657292, 207.52619631592438, 210.85868170683943, 212.07542450234706, 212.84005738647738, 213.54576249558335, 214.78763337049094, 215.57958526647386, 215.79777159775784, 215.96322948097244, 217.7806776065533, 217.91970933355353, 218.89827197934525, 220.34206378449073, 223.64913816616087, 225.57372753151654, 225.70049809493085, 225.89700545105353, 227.39981722737491, 227.92332139913958, 229.91920405898162, 232.6609039442437, 232.72366804772847, 233.78953033953465, 234.85736775318443, 236.01048644501881, 239.56588872648709, 242.08368478198722, 242.2164691671878, 242.31915990213577, 242.79831996006229, 245.01388255431323, 245.65997069816524, 245.91332108483013, 247.45098242971369, 248.34118177680051, 248.99124533119056, 249.97907544192302, 250.09206938527464, 250.22599327683409, 250.38138296430105, 252.12418137180879, 252.62734356531215, 253.31888226606284, 254.547752558648, 255.32927661006752, 255.84768124232323, 255.91805667848973, 256.659800284097, 258.25771188434953, 259.47795773072158, 259.59678985709411, 260.38257061141826, 261.12528416043881, 261.34422176886989, 265.09302591454536, 268.56735558286761, 269.58140601227871, 270.68515550111653, 271.2585740982646, 271.51785864661338, 271.71431979269994, 272.41649600860143, 275.00876466714965, 275.34002185294679, 276.21304703465461, 277.54302458629365, 277.97989998137405, 278.15806267505462, 279.74962208535766, 281.64996125057382, 281.85081772568122, 282.74863355608608, 282.80068537043678, 282.97412437376971, 284.93607821774719, 286.05695142595738, 286.63625825858952, 288.54628755012305, 291.27916099176423, 291.46756357647615, 291.80190258597418, 292.12638549464771, 293.27613888052826, 294.73592240664675, 294.97865694587864, 298.51083237267085, 299.03354910921365, 299.30800156622155, 299.47331940723365, 299.72341069253264, 299.90068991669949, 300.55605040468021, 300.67381986121268, 300.78743427734787, 301.98864516172705, 302.32647648147173, 303.0858158829954, 303.33606362722878, 303.85870363341843, 307.55956145623639, 308.0258092908237, 309.25288060164763, 309.5146232660781, 309.67785614849527, 313.87060889047979, 313.95530727972232, 316.20119453036807, 317.63221998809803, 317.70610258445993, 318.46470007443639, 318.67305033570739, 318.9575652697132, 320.30845145775987, 320.93234033383885, 322.24125911782846, 323.94074961523006, 324.11857097961155, 325.033667641791, 325.72302852844194, 327.43270700832278, 328.19915333537318, 331.63409560426174, 332.0849419617648, 333.57120573750672, 333.71095623642913, 333.7326729638155, 334.40814448344361, 334.82937525186532, 334.93529995718745, 335.92099678757216, 336.37102917649753, 342.85853083996341, 346.32160323804186, 346.60341955416294, 346.6622119754158, 346.7462469739275, 347.31636608576224, 349.37941750239469, 349.7105324271887, 350.70564970046712, 355.1767813244407, 355.50188043150519, 356.00746986917591, 356.64863268905475, 357.43015675082222, 361.21921030275752, 361.3227593912294, 362.75994068239373, 364.31499226285393, 365.08917015748517, 367.59624343688239, 367.81313435020013, 369.23293499598776, 370.28666009462108, 373.89953660739161, 375.15709072069359, 375.95783879135666, 376.28926529756234, 376.94056617318256, 377.94565296197567, 378.16368273984449, 378.70301927076378, 378.89584856996044, 379.75075810161536, 382.0213496813704, 382.38140946525152, 383.7429646069703, 385.30201004287375, 385.58080714829055, 386.42775897974076, 387.46245503974285, 387.80961013961115, 389.35539475360849, 389.45609444910269, 392.83147385481544, 393.44555319675862, 396.11469542480302, 396.1604872408812, 397.23969576004771, 397.38026166422696, 397.78134737056621, 398.48764937516921, 398.55140588216676, 399.9160162191377, 400.62769721705217, 401.03049175578172, 402.07715043676853, 402.11557378578749, 403.68211818666947, 404.92974928403794, 408.9274675310424, 409.32130483704623, 410.33022477374868, 410.66021120838042, 412.16862908763039, 413.59691597040057, 414.48984738920069, 414.92806683208397, 415.59979919264401, 415.63971750748277, 416.23009179535723, 417.41748110080931, 418.04753218931222, 418.4771412833565, 419.99875247414599, 420.1476885736007, 422.95656997250222, 424.31799936702612, 424.39810890410178, 424.54700704990591, 425.19963584923619, 427.00988308244558, 432.4951785084117, 433.24160655688672, 436.27853491729616, 436.56706956039477, 437.44213573959712, 438.61088667796247, 439.450916790436, 441.73219814819942, 442.82718983822099, 443.18787523317053, 444.89937744090747, 444.97726278044166, 445.13241778731771, 445.36793068021871, 447.52288712746417, 447.59811923253102, 448.34636706166043, 452.71338160510055, 456.78943049402199, 456.95770673870908, 458.81631210036562, 458.87884214008221, 459.43024436772265, 459.95904448316458, 461.48246360979022, 462.16017933482402, 464.85227191875555, 466.02894099575838, 467.00141751673357, 468.0701198169325, 469.83138289915348, 472.42851533557035, 473.2395803127306, 473.51943058445522, 473.55924700734579, 473.77564259121834, 474.51789541064511, 474.60036972533271, 474.91303150605256, 475.01730671497779, 476.32461294110163, 477.74016539377016, 478.45854037878559, 480.16096021686462, 482.43418384682735, 484.41865281348612, 486.02029658011497, 486.06159729267642, 486.41462260178889, 486.97240948946222, 488.17065662423499, 488.62952142802231, 489.33062869350971, 489.3814283744195, 489.56088707823261, 489.72215569715348, 493.00859083425377, 495.62969528408632, 495.99388666398454, 496.79324351979108, 497.3972477658865, 498.39071106349451, 500.29783094719249, 500.59877016617361, 502.24536060782583, 502.52086913198593, 503.24846043117435, 506.08764971816203, 506.6747184627821, 507.9002038371105, 508.04419678422408, 508.291354649033, 509.12441974490224, 509.28469428753431, 513.03002183154922, 514.32464206945463, 514.46978745411081, 514.54177463407905, 517.61639431589151, 518.18607016957799, 519.10151048561897, 522.54108862180715, 524.48833715962053, 524.68153964849205, 526.56957563838807, 527.66976999081999, 528.57787675077248, 530.66230473987935, 530.78368177179004, 531.22610868383083, 531.43901733022426, 532.28730646854126, 541.48820475369496, 543.16010168807247, 543.96467910993726, 544.77166511251301, 544.83720532491793, 545.30475200777278, 547.02030289650054, 549.62733344608591, 550.83418572697497, 551.0942064012894, 553.79358099853209, 553.99324264107963, 554.74537607424838, 554.91167227850042, 555.19684236944283, 556.2903707651335, 558.36968769137729, 558.87749681952585, 560.78980332911021, 560.90409671796806, 563.12615980563066, 563.59895008060118, 565.07104987371656, 565.45194874590641, 566.34885609979369, 571.76971223660769, 572.28010214379253, 572.80197933875979, 573.05040865124488, 573.5721389081059, 574.24913987855348, 577.17140073514656, 577.67450761108398, 579.18636496030956, 579.75624288715176, 580.05153607231011, 582.11651749092232, 584.15939154054331, 584.35945854749389, 586.50995779695904, 589.10897985829195, 589.16109677116651, 589.39039740984265, 589.88657315217711, 590.49991199209478, 590.7371052466292, 591.24569557512189, 591.31538643835916, 592.0711738923319, 595.26401397624954, 596.25413323784517, 598.36981020536871, 599.09208896516304, 599.38039236035149, 599.49266220480274, 600.03620133895276, 600.29863071083207, 600.5571666286321, 601.25954663454002, 602.03385810772386, 604.74050563441142, 605.38172629276846, 606.07193582429659, 608.29170403871615, 608.69746834681257, 609.84885824443234, 611.32498615946906, 614.2814306015847, 616.08270579431792, 616.77210739481666, 617.86778170565151, 618.30813136961274, 619.54511294457643, 620.45964280860687, 622.00042002238808, 622.36676240353165, 623.24536550531604, 623.92741880120093, 625.03809521183598, 626.68767554111923, 627.68898133433095, 627.74015424075083, 628.59514383459577, 631.0673793938173, 631.10999305403789, 637.34163889732827, 638.10644022694862, 639.17729102332362, 639.37894963353631, 642.10058019513679, 645.02010906668329, 645.29313329374475, 647.13386519141773, 647.69472711542585, 647.76481578527364, 650.87598193774261, 651.59611730778659, 652.4239839378688, 652.57804853319544, 653.51636066351296, 656.18761489649773, 657.70977355047182, 657.94625475486464, 658.60236832738497, 659.5712868861616, 660.22708029712271, 660.34560873925398, 660.50025259775327, 660.69352544378637, 662.50679451847486, 665.01283524146436, 666.89601385549213, 668.00707372869044, 668.21028192775373, 669.66496989631798, 673.7550611750404, 675.32978126003388, 677.81614024173996, 679.39077296560731, 679.51768768435204, 681.39473185249199, 682.94987525021543, 685.32320695066369, 686.58057651987008, 687.20594727903062, 688.30052364431481, 689.667523411091, 690.08946456122885, 690.57135314925313, 691.13472711390955, 693.13747366499445, 693.37508604741231, 693.86045567946087, 694.84478946929733, 695.71141616067746, 696.03203043271901, 697.07103557391486, 697.18979429726892, 697.28198326374866, 697.69173840877806, 698.12556307486557, 701.3543859721517, 702.85425369784116, 705.06998506817695, 706.60485121504564, 707.03972374709065, 707.21926122502475, 707.29108701621999, 707.32831151096741, 707.50668559715086, 708.03271610616662, 708.80099802770951, 709.65709394897169, 709.85309667179956, 712.9033323382555, 714.88526532296271, 715.12434373484655, 717.45645813136468, 718.01668662556892, 718.18455475801272, 719.03264676687002, 720.04850912924564, 720.12316176236266, 723.7022476821063, 724.02610904108428, 724.56213434609469, 725.00245355469121, 726.30949506263369, 727.11739958908356, 729.90314249458845, 732.5203308435282, 733.30970076553501, 734.24982724050369, 737.91712394121691, 738.08368466453612, 741.78388400532344, 742.77611949998641, 742.83939950970307, 742.92646435501513, 744.56344734747506, 744.62551766218144, 744.9411384438223, 746.12873371780154, 746.78592780934321, 747.94048792678666, 751.2641755020577, 751.28653211159201, 753.33869324222871, 754.28325313627863, 756.60437550583833, 756.79441843778284, 757.9331859294158, 758.30569545524634, 758.35084455752803, 759.52669476951132, 759.641655171548, 760.24843910143215, 761.8443694534825, 764.4841473937397, 765.84885637313619, 766.29471787209764, 766.3712171120626, 766.43363207116022, 771.42080145437956, 771.55760442025905, 771.769739849507, 772.30637281441545, 772.62062246099913, 772.73056053333505, 774.61350091536985, 775.31423965236957, 776.60580443498839, 779.22512376224813, 780.74086707880099, 780.99652186632864, 781.5532718756449, 781.94873241886228, 783.86856471359886, 784.80700680902692, 784.98792894514838, 785.56349906327091, 787.34110850405705, 788.89582341895698, 790.55328428085693, 792.96330399078624, 793.21458212082473, 794.76016935078337, 795.03970642188426, 795.27683192926577, 797.18324870933782, 798.65285974262542, 799.91700624112241, 800.15041446206499, 801.02660437609234, 801.57895711739195, 802.79125767824939, 805.40495188691648, 806.09056333873934, 807.21641454046539, 807.72849315661506, 808.22642351067805, 808.77007059307857, 808.81697046303498, 809.68746773571047, 810.33653807385565, 810.65041084643326, 811.47376990708142, 813.59421059087435, 814.37440035658392, 815.27863607039455, 817.03947137331227, 817.70820507575866, 818.58203827147304, 819.1189021416435, 819.23327408516241, 826.19083313625754, 827.60014905091111, 829.35545848520815, 829.42328882161337, 829.62541632855027, 829.68014325216564, 830.15121561882938, 830.20286314046962, 830.25191234452438, 832.11775788091666, 833.28937146715964, 834.06799926790779, 834.59863959864356, 834.96628440072845, 835.00554365988012, 835.85936096975297, 836.23471948241479, 836.75315011600912, 837.0701380130173, 837.34438349680875, 837.636849186674, 838.18117947010012, 838.44908531992417, 841.04119889372839, 841.89726964535885, 842.11182251649097, 842.94168991725292, 844.5431187802227, 846.05155744018339, 847.2800870118258, 847.94114323121153, 849.08191184847965, 849.81161397524704, 850.27233933761204, 851.5959833436948, 853.61805880304291, 854.4692044003915, 855.83049762757503, 857.9492637125411, 858.77140458447525, 860.78612468410904, 861.87544698946363, 862.33065863528122, 862.65898254254944, 864.20335232945058, 864.88880049726663, 865.64670185252169, 866.15686017095311, 867.19835225689917, 870.86705463806697, 871.18098820253101, 872.94321264092514, 873.22820754897032, 874.83028117336039, 876.35191113251381, 883.04025625479767, 883.11479420163812, 886.14775993647311, 888.86239800580324, 892.74648529539468, 894.31978671964305, 894.37619161764326, 897.57148975170207, 898.18410289182088, 898.92400746572616, 899.01782592607094, 900.27591885770698, 900.61235634338323, 901.00657223228313, 901.74410525829887, 902.3043876640179, 902.54444229974024, 903.27275731010309, 903.98777860390328, 904.43799633621836, 905.0444166889215, 907.86415948195986, 908.55506456879493, 908.74219776791529, 908.97620549470935, 909.28784366533796, 909.7951168530484, 910.1273285216663, 910.39780014119867, 911.13037945093515, 911.17739264459794, 912.26281788975155, 912.65675575641797, 916.09182363899788, 917.19926807266927, 918.78718383699459, 918.93828660289932, 919.89016133420307, 920.16717265004058, 920.75912872152628, 921.46967151180672, 921.73149877123865, 923.23448757906283, 923.55731824282111, 924.33026539186142, 924.57792749546843, 925.0560355184773, 926.62072985285727, 927.80404121126071, 928.37472568126725, 930.80768381975031, 932.06841105165779, 932.29567196960704, 933.04634967385948, 933.10532565645531, 933.66876935190589, 934.25805845603497, 934.28612332691148, 934.95928053323576, 935.68378874469761, 938.33993230047781, 938.55619397810131, 938.61721675392539, 939.03259226016894, 940.09188326102753, 940.23388839948177, 941.84864557172114, 942.57325418516314, 944.85987230556339, 946.94618806969584, 947.88252174528122, 947.98582255764438, 948.76335962993369, 949.2311374209479, 950.28194505406202, 950.83462478009312, 950.9286640729149, 952.68480726269001, 953.19431722667264, 955.36398749937405, 958.98167966708593, 959.32749404998708, 961.24804393034492, 961.2963770017692, 963.06948183043676, 965.40363098393777, 966.81874845805692, 967.87305952854126, 967.96717122414316, 968.91206977822878, 970.03614123453156, 970.52535968160009, 970.54616886151632, 971.83486817382538, 972.67124654411009, 973.02019939626678, 975.53978436636294, 975.86044733427104, 978.52260379988081, 981.09701453915625, 981.57281794973028, 983.56487702625623, 984.78267793585201, 985.26692257765819, 985.44781062979575, 986.23956927329618, 987.14043547686686, 988.07304853172866, 989.76012637407598, 990.26912390135442, 991.38516510961188, 996.90977517576778, 997.09656964486283, 999.15347498837355, 1001.4203653435587]),array([77.58087617126705, 78.663919923804926, 82.227308887713662, 84.396382887685618, 85.30142682342553, 85.574437408379026, 87.0150135677018, 87.381039065990961, 89.124450909826152, 89.383529301428482, 90.297599671555616, 91.093309313103148, 92.249785765958009, 92.417021708549711, 95.683838077437798, 95.918341189160031, 96.432119660812404, 97.091541192685725, 97.943631621000151, 100.50667684328289, 101.11313988415412, 102.12667268734427, 102.85119792554109, 103.53617757119279, 103.70091991982939, 104.33573932691291, 105.48046939114535, 107.70833808615957, 110.86429495264008, 110.9579550171655, 113.98853979843592, 114.59468415784882, 114.65658976880368, 115.01169597761319, 116.32107935271304, 116.85880996619827, 117.78079974408955, 118.43501986325425, 118.5266328154423, 119.06804433988914, 119.11971030745845, 121.4244645056568, 121.81702499409448, 122.4922458009532, 123.72878369289417, 124.10667297730134, 124.23774473381037, 124.44782501246728, 125.51009169928778, 127.24696554280962, 127.29458175411077, 128.37648279860164, 128.65261357467358, 128.90453217795624, 132.18837924441144, 132.88266228230353, 133.32357158322731, 133.64774409318005, 134.59372266867913, 136.5908453883587, 137.06544840620634, 138.01234696757902, 140.03536108491056, 140.90130965012204, 142.03610861151054, 142.06149333797021, 143.4451483667724, 144.00450250583168, 146.9047047627829, 148.81484151070239, 148.99158295603866, 152.01093300054032, 154.23710663388906, 154.9559426346718, 155.37922010062607, 155.84290106813742, 156.54753119629896, 157.70028751191865, 158.51135377552237, 158.69273731964574, 160.08900248211239, 161.36915275846846, 162.07242162572271, 163.71264985878011, 163.77312251416774, 164.39743673542336, 164.97890743412597, 165.95978730011879, 165.98211151677398, 166.6888189098882, 166.83703032400865, 168.43881865619701, 168.75035914356187, 168.77373498826807, 171.14846982782851, 173.3368905108762, 173.9264884478134, 177.42071045909054, 178.2088449917388, 180.03615174137775, 182.12319075489734, 182.36619596686273, 182.49987617588312, 183.83897916032825, 184.12634043289106, 185.61891197616484, 185.87187312642803, 186.18036547804257, 186.48235462475449, 186.61449614886058, 187.02728237747189, 189.90187343962239, 190.28271888567556, 191.0823809932993, 191.98615621096604, 193.56585440151079, 196.73120218382198, 196.78044292076228, 197.22326172354363, 197.45365326493393, 198.31842144763661, 200.61628064024501, 201.12700785550834, 201.61943800990483, 202.92668661917332, 204.4560232338066, 204.87306840095505, 205.10347933677153, 206.51536217775154, 207.27215219556282, 207.54673952817339, 207.6025588081279, 209.82317220413043, 209.89633554849922, 211.30604973879795, 213.36154828241962, 213.40262046905565, 215.64076842627765, 215.81601614545633, 216.52816165554492, 216.56286273572223, 219.00328238102654, 220.57303923502025, 220.63487954385826, 221.25776332514778, 222.34841864275293, 223.06799132971781, 223.16347897445738, 223.8857136851361, 224.93981971498644, 225.26153659818482, 228.27951250031271, 229.67816745315648, 231.47831472413483, 232.07405794290602, 233.01891468802182, 235.52028103083433, 237.25747316941204, 238.80164167910269, 239.02502979587939, 241.99061789138688, 242.74175639921359, 244.07835832918661, 245.652679236045, 246.515089249894, 246.81781017941145, 250.19370097948305, 250.38576233387965, 250.42000297393241, 251.1789881440838, 252.38480704538838, 252.93185384548056, 253.02276412730237, 253.23525376832598, 255.69911398005186, 255.73612334048664, 258.90538910798898, 259.49987508687042, 261.50845856805046, 263.09338775311898, 263.46527533207416, 266.80818937395424, 269.76969155605138, 269.94603443931237, 271.78385614596323, 272.02892695316797, 272.60305587965468, 273.86389491643951, 274.4041330127273, 275.23083566490141, 275.49577049343122, 275.68471024119918, 276.59040356418683, 277.43795326238069, 278.17569424552073, 278.82027771643567, 281.22510571428944, 281.39475314429035, 282.9438744537008, 283.03348964279121, 284.67245086060751, 286.29455444277767, 286.44757433171804, 286.63070533627229, 286.89840421950811, 287.18456615625246, 287.25681789802593, 287.78219127843971, 291.40567135801763, 291.86984797992397, 292.30735822343689, 292.41810740428957, 293.45170723640746, 294.60054604057586, 295.77914478353347, 296.01906461052425, 296.08888303003965, 296.59977798213026, 296.71487012212083, 297.94229443397728, 301.72732271667405, 302.68483683889571, 302.86948143633066, 303.08525785991367, 303.19493623976371, 305.01288211925362, 305.50409353148598, 306.53284979640506, 308.82540430887207, 309.64840706885298, 311.08494285478753, 311.89265676376527, 312.12132194889125, 313.55768161059854, 313.6081979547447, 313.94792610642924, 314.06929730741632, 314.927395350871, 315.97311560186739, 316.02317210902066, 319.83120772987797, 320.11025334280288, 322.35716748215003, 322.41640571149679, 322.94800237409447, 324.1624897650733, 326.06376335937051, 327.41040250842559, 328.44138159215663, 328.57712085931337, 329.2326482860629, 330.2058010296912, 331.37480840600199, 333.37513766240255, 335.38598494042793, 335.50953310432556, 338.26730834777209, 345.20938097374039, 345.98807066173606, 347.29463794356502, 347.670668040848, 348.47091910179739, 348.79449761086693, 349.36618905748054, 350.1439127855769, 350.60854617920148, 352.39472523934324, 352.65752861925552, 353.78369612536198, 356.18675105231682, 356.59959988216809, 357.6998394618152, 358.94356800591873, 359.2736859061053, 360.88435451298352, 362.37195966820474, 362.78422333352052, 362.86538124431308, 364.13890918661889, 369.50327786057437, 371.98222628031016, 372.05789268428526, 372.41590656816737, 372.57228825670006, 373.54132102683343, 374.84361416306234, 375.33267096848971, 375.42306859930062, 375.79599878461732, 377.08579299595186, 377.54183439561876, 378.14390135625177, 378.7257923015494, 379.73856848036036, 382.56071996749438, 384.29921550262634, 384.61618316535015, 384.81797695078399, 386.54278829104595, 387.62894748291529, 387.84306703000595, 387.99871523122238, 388.3057780639499, 388.52117820906449, 389.19909251620044, 391.28873693568738, 393.09690905636387, 393.37664714283858, 393.54804625115742, 394.0263814678305, 394.51805569532979, 394.97005659743337, 399.07768533790437, 401.99864114416255, 403.73758601915478, 404.51493221583996, 408.86323619644457, 408.91666348836372, 410.83527932776661, 411.61879918645491, 412.81891111694841, 413.68988734238968, 415.8045020974206, 416.13613765345656, 416.94785214788863, 419.02951181322226, 420.35742624769875, 422.37719743404472, 424.41576374537055, 425.56883263573934, 426.29952873192309, 429.19936169969117, 430.68264103299214, 434.3060670529614, 434.51647761102379, 435.20462355844802, 435.67799493429698, 435.99830904504211, 438.71973289951109, 439.58830145325004, 440.12490886189227, 440.26303726595455, 440.9805525849801, 441.1308658263722, 441.48191715666684, 441.97264946792308, 442.08272717449097, 443.25987972539514, 444.54082977000218, 444.99224047156531, 445.27761739319135, 446.54309644970243, 446.58754136115766, 449.05717268985182, 449.65031983522846, 449.72313815986706, 453.07307344585945, 454.09698448793455, 454.99797363768022, 458.17382305747878, 458.63507069546029, 459.52806450706908, 459.59437558384303, 460.04719903812844, 462.44306451444567, 463.63423900852121, 464.27614086248445, 464.62018127022361, 465.78223982246385, 467.88655388584721, 468.40818467397719, 469.35598520437475, 470.85211695131085, 471.90188084457236, 473.88596181011565, 474.61470357204041, 476.66583901200966, 476.69201329732715, 478.25344379660487, 480.61118456119857, 482.51323321389987, 483.20638787047039, 483.24654540857046, 485.70869028544064, 485.87319220148004, 487.57767989144907, 489.1941025658362, 493.59548899198273, 493.93816366070337, 496.2897562657534, 496.83513282728859, 497.62775020521929, 497.81152123824717, 497.99469135085269, 498.21999345235679, 499.02643814248677, 499.80225861030988, 500.66416038255079, 503.42992459589652, 504.09330441621665, 504.3955511434055, 505.2440594689408, 506.92515870982356, 506.97427335455114, 507.06092877944064, 508.91308214426556, 509.36673031232937, 510.77171578453522, 511.60488139263362, 512.12587363824616, 513.12109512797838, 513.58404929820392, 515.66098502205909, 516.79856429413451, 517.43805987732787, 517.9569254205071, 518.48442401752504, 518.50838081150778, 518.8405074680453, 518.95445693929935, 520.45477468610227, 521.68448914029477, 522.48344336296213, 523.90031090412413, 525.03500844905363, 525.26756163979837, 526.04892799983588, 527.49009267274675, 528.74407831107044, 529.29202294249069, 530.7608292605729, 530.92768470508747, 531.55602303707042, 532.3949214500409, 532.7950229588406, 533.85552078898615, 535.22121709792498, 536.22514437899474, 538.99829317549234, 541.35262979033382, 542.21382174849293, 545.33010476438483, 547.34656067741673, 548.13044547082791, 549.05594412820028, 550.32633237858204, 551.39148966687765, 554.55078663132679, 555.08185766313954, 556.58609474659647, 556.76932728257248, 560.01681895259833, 561.08996300163244, 561.88711669384418, 562.48141326670816, 562.560571123312, 564.35107783701744, 564.52855546514752, 565.39189387179806, 565.93755093616517, 568.06391128840357, 568.34371539458652, 570.88133488453479, 571.83584504526823, 571.86620621710983, 571.98240831456997, 572.58257723636848, 572.6653238889055, 575.03014623639399, 576.41334577059808, 576.5681272067319, 576.71409711160004, 578.21288805385882, 580.00072797785788, 580.19226909725558, 582.02100269454706, 584.95762309245765, 585.37879661466116, 585.47503695897944, 586.08767475671482, 586.36763734737713, 587.36552490155145, 589.10251352417515, 589.40460646288113, 590.48735641522001, 590.92676493435511, 591.14717261304838, 591.77817539327373, 592.2170021286546, 594.69462989561885, 597.29591812371496, 597.49446949509456, 599.988262598083, 600.61269390479174, 601.77535609374456, 604.87516329452058, 605.124968353795, 605.74637100616349, 606.50603156729005, 608.72792295728618, 609.22910619815832, 609.30149709725902, 609.3584000505931, 609.42999310529046, 611.12914770321458, 611.86463437747, 612.28967112550447, 614.00185334386583, 614.46628302919828, 614.88795605322446, 616.73635750424955, 617.95302227264574, 618.83401866391273, 619.06396744744563, 620.48567281850308, 620.587425677792, 621.59342286765616, 622.22331008236313, 623.05716698464141, 624.21702969503713, 624.75463889293007, 628.45822364428795, 629.53890732178456, 631.14650069097092, 633.38989693788744, 633.57718546815636, 635.45007980027322, 636.55068328710524, 637.39917586873889, 639.83840577623653, 640.01364639750739, 643.97905618753668, 644.9082741863856, 645.25687902347272, 645.5279083881436, 647.36743718480125, 647.63594242696149, 647.65697696760537, 648.69153871046694, 648.90804361673634, 648.97999565266275, 649.46654246575974, 649.54553608095068, 655.07834231701429, 655.5108314458181, 657.04445674726844, 659.27202606145852, 660.37249114264489, 660.716805213768, 661.97292175743883, 664.29914095492484, 664.4717965581292, 665.59441069757327, 665.82789447399125, 666.96871291706225, 668.78598837167408, 669.05931273634405, 671.61870347288982, 671.85353924588378, 672.28116194493691, 672.33501258586045, 672.49616925736416, 673.42396146517024, 673.62545409692677, 674.22742414225695, 674.88307630735733, 675.66094112203666, 676.18074395385077, 676.76428901397628, 677.33151068071243, 678.2887947786669, 684.23079544136385, 684.34457099907672, 685.37937656760107, 686.5017293845649, 688.40330958617244, 689.26197626151281, 689.60975317872567, 690.07648418437361, 693.82452449323034, 694.04569596858448, 695.49602058867083, 697.72780537227163, 698.89804722627866, 699.77781952810551, 700.04280615055245, 700.07584348068042, 700.23073087470448, 703.63761866020684, 703.83206949978091, 703.90291945589797, 704.95697438660045, 706.78004246480816, 708.6541990941472, 711.12671901643967, 711.23086920763149, 711.4732653379225, 711.7700921126077, 712.74125238096019, 713.88425772719245, 714.05584030310024, 714.13925302617736, 715.11970368010225, 715.38136123794118, 716.31395334696151, 717.22629386314247, 717.67205522709014, 719.89863295839018, 721.17631973004052, 722.67820120561169, 723.14744825922367, 724.3388598841218, 725.50363440969568, 725.93632662926768, 728.09017511209072, 730.20297396021215, 730.38726404383613, 730.70547312505084, 731.21687051546473, 733.34125085795563, 733.38358880197347, 735.47689848841446, 736.21315306917029, 736.64629027338435, 738.19518826692695, 738.57793344467393, 739.74211735635322, 739.95731822467098, 741.41435327275576, 742.25933820838782, 743.37331622325587, 744.68947084682998, 745.44164135910796, 746.28140313225697, 746.68527977218776, 748.57476970504899, 749.57990671938956, 750.23449928410662, 750.69008610720437, 751.8167581013231, 752.13085806086656, 754.29049096694825, 754.48200931007716, 755.16358665973564, 756.0504565248076, 757.56401098026333, 757.76124424053228, 758.59228934718828, 759.63595470225994, 760.31725881046509, 762.97259635252703, 764.08567897955118, 764.19815290752513, 764.87310680096459, 773.58207579805298, 773.83644438507963, 774.08351368669219, 774.26603095691371, 774.42103581414642, 774.65793175595843, 775.64672664936927, 776.78536025052119, 778.97719748433713, 780.33377600904123, 780.38772519191252, 780.52807113376684, 781.86329462486299, 782.48121646327047, 782.96279424731199, 783.95188811147852, 785.98582834390595, 787.62596499102972, 789.10842496439739, 789.48207755685621, 789.94078337883332, 790.83700501255157, 790.8951878863104, 791.48943053843152, 792.3811162456584, 792.6495488264319, 793.47890133898579, 794.35255093559761, 794.42524819621769, 794.6707567455004, 798.13381063151428, 798.84331284835014, 799.20453460965348, 799.88986351175913, 800.30167123737795, 800.95057295799734, 801.11404328839387, 801.6769515933205, 802.20813537216316, 802.47310644918878, 802.85400335040276, 803.76352563666046, 804.26771098682525, 804.73198579337327, 805.09997731881617, 806.4131270590168, 806.49108015465129, 809.02233052094721, 809.54141421045233, 809.8713205982591, 810.88736548270924, 811.0872680018374, 811.54667190110376, 812.10220439964201, 812.30853353667942, 812.55975774480407, 813.32081484968307, 814.50684841667226, 815.15567128496627, 816.29288001341138, 816.6954980690025, 818.04142699305419, 818.90369422467438, 818.96430525410256, 820.08310189417739, 820.20889134033848, 820.78386168461532, 825.72058179979661, 827.99992892573607, 828.78796712491749, 830.14141757259767, 833.03077005964269, 834.78614287333835, 835.04861422178635, 835.86177760030421, 837.31408387713191, 838.23549352648217, 840.78397934071199, 840.82123265136602, 842.58035124312687, 843.50719394144176, 843.80605895444648, 844.31889933122204, 845.78700995669749, 846.00590629163673, 847.64562512720022, 848.31145035757254, 850.63277262685438, 851.31136407764086, 851.9869803842854, 853.22573029115665, 855.33153436028124, 855.59781693087905, 856.62442934771582, 860.11644052572763, 861.86979884642119, 862.58163963259392, 863.25812527731694, 864.55069795295026, 864.62074888228585, 865.05813058962144, 865.87150740257789, 867.16759306038171, 868.22497012462634, 871.60720586311891, 872.06826762738899, 872.33689819969106, 874.5840373013267, 876.44217682445196, 878.91950646702196, 879.76407635901603, 881.35404623526529, 883.34759465102104, 883.62060822540877, 884.67659885037097, 885.57796563928048, 888.90649342373058, 891.53402887453194, 894.01834013827965, 894.96528330787226, 895.49229721931181, 896.69453104810691, 898.05838763359748, 898.60351116965933, 899.12320532095714, 899.37091569287634, 901.5551234034657, 903.54712710059789, 903.631388443893, 904.11338686005399, 904.59894785294455, 905.36749146369209, 905.5399120658584, 905.82335562814262, 906.16575756356883, 906.25437197047745, 906.7166118357701, 907.75209746968562, 907.81669110971256, 908.20430955528241, 908.33188145044835, 909.45666402994709, 909.54189302836221, 909.88995408334699, 910.29922479731931, 911.43531146443661, 916.33985368358913, 920.34791348931105, 920.98066673029882, 921.17648317373903, 921.75166713963472, 922.41634338698884, 924.1577463147313, 927.29507004389052, 929.07262910599331, 929.27068509129799, 931.60566910169632, 932.00471377136137, 932.07641188823004, 933.74843983602125, 934.28683862341416, 934.88638956391662, 935.6031535557197, 935.69507797560357, 938.26691766047497, 938.29066024085637, 938.51999935890046, 939.04199648903091, 939.24687895475836, 939.7612495740691, 940.11090118180073, 942.84554116628578, 943.28999534068339, 943.72171102469304, 944.09807217452999, 944.44153316883501, 944.8534359293559, 948.86252495089013, 950.6246081481471, 951.14488164452735, 951.56526855528296, 951.73443072836483, 952.19389051662938, 954.68285572943967, 954.86657125307988, 956.02516734044832, 956.78851910373555, 958.13428431171644, 958.98664926371657, 959.65046221707564, 960.3384742802956, 960.51584898393821, 961.40909110616906, 962.8589492050528, 964.08841633935754, 964.28743507650438, 964.47959113912941, 966.44372949035426, 967.39420937506497, 967.51798572052633, 967.63378587360808, 969.17581386040979, 969.36014775782519, 970.35915563305457, 971.67872379711355, 971.73468258582159, 973.30726135690725, 973.60405512995703, 974.38781929641937, 976.69392868039597, 977.80838381655019, 979.1292762576328, 980.74893129068971, 982.71999950083887, 982.75348292401156, 987.28811133234217, 987.40704526670822, 992.23390120239446, 994.43153604774807, 995.02034468282511, 995.89350005453537, 996.02352816432995, 996.3093307409008, 996.7079429412355, 997.45794547132255, 998.79656021916287, 999.01398612081073, 1001.2027881242071]),array([65.04962319989626, 67.418240328439239, 69.026059976053958, 69.981126608923105, 70.213309607508009, 71.269933411739913, 73.462709118776303, 75.190346182406969, 75.32788842288592, 75.499278226710942, 75.84559390147642, 75.895878280868985, 76.246258196061206, 76.7174800862513, 76.794079041663508, 78.691332484295472, 78.876099029398702, 79.047595142576469, 81.311153170818997, 81.565910356658478, 82.038086051227594, 83.496172072976876, 84.567258692856655, 85.166887813327392, 86.042023303280303, 86.18518191589051, 87.919913388552885, 90.529709728517119, 92.482067202945927, 93.311888820804143, 93.560249900140434, 95.468301354020497, 98.020390373601614, 103.27915058274773, 103.41676826703635, 104.05867762349069, 104.20778631647215, 105.10377327299319, 108.34298392980625, 108.78804344986268, 108.89013521006483, 109.4235175010551, 110.43684534889054, 112.09495957586513, 112.28083768365327, 113.23907961659641, 113.68941014875978, 116.75028193481226, 116.84970873054957, 118.23829308513697, 119.44340889086605, 120.74150672632821, 121.61079151145775, 123.09617410142076, 123.17391807698534, 123.61909169208747, 124.74770632012657, 124.80738352937149, 125.10965508680769, 125.19320968699689, 125.59440523676257, 125.81157325498094, 126.26856679790249, 128.05317523208049, 128.50923870140917, 128.89497494059972, 132.01131011323358, 132.38313190573618, 132.75439374242831, 132.86823736515998, 136.10950486201571, 138.01595523625858, 138.52636545961548, 139.31396546690024, 143.30954567040328, 143.95270657604959, 145.03182139315604, 145.21312833915042, 145.96220820993912, 146.2206416409004, 146.56411021201296, 146.98072653377486, 147.02513569307024, 147.26732562884246, 148.96299583473606, 149.03571960364005, 149.25807857237993, 149.82378390803527, 150.83819006379724, 151.20840581386523, 151.57015178383912, 152.68097613248113, 152.94558688916194, 153.16402326096409, 155.48449948897917, 156.22341806438712, 157.36895637074466, 157.69683978027743, 157.91949859456813, 158.10142894366098, 159.16577752214812, 160.34914930292086, 160.37031192740767, 160.53277155687351, 161.01269648335989, 161.20154707285297, 161.88090792801543, 163.32037450489688, 164.55609372179654, 165.72803611399507, 167.9238178822782, 167.97408491472018, 168.99839027007175, 169.28525381745109, 169.97641129960616, 170.15206860441521, 174.05980609064594, 174.373613307531, 176.29729766801637, 176.36496145735163, 176.7462232954766, 178.21393376216255, 178.90275873333161, 179.44219995479918, 180.26106711360302, 180.40059638278854, 180.81751329758904, 180.89344454882871, 181.91578256101391, 182.72265144778149, 183.18496680736871, 187.44888223499916, 187.5865285224767, 187.76030219525185, 193.68887398827323, 193.86301146944271, 195.73090387341387, 195.89695219721898, 196.47614812674794, 197.40695311423477, 197.60574536654005, 198.05490619870625, 199.02438302184297, 200.85801123231843, 202.28481334628725, 204.17305547992359, 205.07987001414534, 205.22637726108519, 205.59334269895132, 207.30420980765155, 207.71006591234348, 208.21227221761555, 211.76718157849677, 213.25599322680861, 214.19801465554744, 215.88877503992731, 217.31547506586847, 218.70142539205975, 219.04792279430464, 219.17278666719363, 220.02462431757411, 220.62243692352953, 222.20296773591025, 222.40753627245508, 225.0004260480336, 225.14876560631944, 227.28925614086029, 228.23240425984059, 229.032216514156, 233.25015327609933, 234.57636633972714, 234.6134508309932, 236.73524234892534, 237.02391647223354, 237.93794364864931, 241.4183343210957, 241.6416227041137, 241.81192914121308, 244.39149376599056, 246.38940018174375, 246.63613981080002, 248.22235070816853, 248.82346345970657, 249.3590831157822, 251.93703501466382, 253.02169469729583, 255.26177548964301, 255.32354455203247, 255.37388042288194, 259.9172172080153, 260.87577100404712, 261.17718851817654, 261.31194249115822, 261.77384561421786, 262.60780696957698, 262.82266153748333, 265.11679512614006, 266.26001032144893, 266.8831701531895, 267.96364971387987, 272.12917260162175, 272.7217279488641, 276.06130499186457, 276.9784669654008, 277.60760400507957, 278.34544415800951, 278.92923328226078, 279.78189826394049, 280.00195206120219, 282.38305169484624, 282.41756156205963, 283.22096777463446, 284.43011664850815, 286.01068730837153, 286.53179742478454, 287.61053302988574, 291.29576504306681, 291.60740670282115, 292.19128457697303, 292.90931906032171, 293.02863040630126, 296.74303422196766, 297.01062458079167, 298.70964210430293, 298.87348517185109, 300.32196873795164, 301.23312398704616, 303.03729873916689, 305.77288766285835, 310.33637522675389, 310.38182271409522, 311.20903551252104, 311.85669174047871, 313.59480485061795, 314.8494911880714, 315.01853063702652, 316.99392115571379, 317.57468258934989, 318.07263493178618, 319.2346911217262, 320.70504282166348, 321.50690151288632, 323.01726610566169, 324.72224843153856, 325.30330630637957, 325.47207069304852, 325.50432633385162, 326.37545089452482, 326.44107030072718, 326.8840014684568, 327.82684716906192, 328.00480185260676, 328.24130745384269, 329.29490217525301, 329.58865978018525, 330.78768377785048, 330.92670618483703, 332.03484373212643, 332.36821666818639, 333.22275962823488, 334.65399980034493, 337.23191010363337, 337.30547957676794, 338.45017558202471, 338.83768905129824, 339.33917054902838, 339.43515394978488, 339.45670136063927, 342.18454648387404, 343.04249259049175, 343.31947026712311, 343.5590972162401, 344.04820320238343, 344.5441486561798, 345.15443550681147, 346.22786272933189, 346.34094640991782, 347.75400144006801, 347.94688451756684, 348.02077045372715, 349.97306608103162, 350.22563204752169, 350.39912894427789, 350.92317359433622, 355.60257638134345, 356.18578500509363, 356.95400816428059, 358.70691413735693, 360.04778629280958, 360.42104717612688, 360.97312302331062, 362.42225042247765, 362.67397517727784, 363.16806865737846, 364.43510612711572, 365.04697306634978, 365.4032839859243, 365.79680550030525, 366.37906347075148, 367.47962575460161, 368.08332248831937, 371.52042797521364, 372.1335575864324, 374.35097834761916, 378.43844206061567, 379.35767100977296, 379.87175310133847, 379.97159775400877, 381.51214236185814, 382.61214827255174, 383.92139645827388, 384.30593520453084, 384.43658127976465, 384.89017687076182, 386.96858582186803, 387.43294021675808, 387.9168658627612, 388.99106725409661, 389.96970927611341, 392.85494832484409, 393.09053190678355, 394.01234380015831, 395.89634264776419, 396.56256544939913, 397.63729680854021, 397.84355716116482, 398.24960596962603, 399.0430829805058, 399.62089651688126, 400.02477514152656, 401.07532445914671, 401.11291128258745, 401.75825045923938, 404.68399526730474, 404.78659926630661, 406.44879424791202, 407.48504015347413, 408.27587597278614, 409.67985844954319, 409.76285175659837, 409.99734617152643, 410.30182281121159, 412.05439545217934, 414.2205252343951, 414.71753430756172, 416.16991504373067, 422.83524680102954, 423.26222395427305, 423.30702051611172, 423.82425076161866, 425.29518607406965, 425.37934499418293, 426.56452707075817, 426.62076392601608, 428.65050646325182, 432.44149943626837, 432.4945489404198, 432.98740730062804, 433.3514705372483, 434.09894875437476, 435.58030119364361, 436.98096298346303, 437.05982299393736, 437.45199783537907, 437.67195256747607, 437.72876662932657, 439.86460439509153, 440.52389293912779, 441.65263252408073, 443.55288902193126, 443.70438396276694, 444.2618456428728, 444.73340977583973, 445.16605123330152, 447.02702694795369, 447.09602270910301, 447.16631061146757, 447.29447753169205, 447.41377959768056, 448.33557506129131, 449.095981071381, 451.29884164972225, 451.46259783135088, 451.83933574470046, 453.66546438761804, 454.5654806505716, 455.29937367267866, 455.82029824608537, 455.86017027975748, 456.14832284282028, 456.48628342925963, 456.58847440276747, 457.10287437587169, 457.91373235050838, 458.66569797919925, 459.29246456546008, 459.79752660146062, 460.14421990553569, 460.65179441813706, 461.60890840395513, 463.82055468769857, 465.15231614905758, 466.59714579123158, 466.89582952703188, 467.39822404827692, 467.53251330915941, 468.55374309594248, 468.78673858926214, 469.14092228954109, 469.95109167697922, 470.68943624486786, 471.63014833096491, 472.31493653607964, 473.38441469666856, 473.5611169794177, 475.89355469062031, 477.10861408458885, 479.04657004879971, 479.11856710926935, 479.51847498081423, 479.95301007608776, 481.4656765423037, 482.57344013825008, 483.05724417796517, 483.76926385787209, 484.06912775359075, 485.61785687773141, 485.76738037116729, 485.8912137170052, 486.36577054122893, 488.43986466564121, 489.0676417008001, 491.65538163522109, 495.22555798743036, 496.01057386670283, 497.88752990480521, 498.68610508530435, 501.33493801390455, 502.00217314238154, 502.69710253454235, 502.755634905313, 503.82510896181878, 504.31629018817983, 505.92817385992674, 507.63246985518896, 508.52491323467945, 508.78804978079052, 509.42748265907863, 510.04357449534507, 510.45232854480651, 511.27908982284424, 511.73981520088114, 512.4976384115829, 514.27811865532476, 514.55549077117973, 514.77873850544199, 515.86257485783619, 516.19658888620449, 516.71638502236965, 517.40219024659336, 517.817802407248, 517.92859156379507, 518.56089208148353, 519.19266970714705, 521.38775445162241, 524.43990708577246, 527.34807897220696, 528.08142175230387, 528.97778629399227, 531.72267624774736, 533.32217164463316, 533.57515811994404, 533.86764712441834, 534.88770974513216, 535.00725963260186, 535.63991829125121, 539.04427202419174, 539.55225531864812, 540.58639483431853, 542.5881689215513, 542.77801176441312, 547.04287913266558, 547.47386538688943, 547.6542964741119, 547.67855441478093, 548.54637592538415, 549.1658373700327, 549.83792425708373, 550.74318264703004, 551.71494699067409, 551.85023803802392, 552.61249055770304, 554.49305125629542, 555.33780007728217, 556.3141685698339, 558.15304866058602, 559.90035114529371, 560.00004410489623, 560.54287918707462, 562.30771963512075, 563.63042099463871, 563.9132729559567, 565.2206994145215, 565.91796635206106, 566.0759333698328, 571.40169057361072, 572.01385319373992, 573.91329764786417, 574.02153396400149, 576.18839216875529, 577.92250911634585, 579.70839675955972, 580.04861442595052, 580.1586190812028, 581.6652019608706, 582.76665409585382, 583.6617676168114, 583.72566136038074, 584.33929794397261, 585.15300331688593, 587.32895999656375, 587.5044887294747, 587.83740603532488, 588.25751581571819, 588.61694882395898, 588.9604852534867, 589.83455097745014, 592.15094354524535, 592.51263736270994, 593.38357477679926, 593.5367745607283, 594.70477199758818, 599.21847580511599, 599.61440273015069, 601.54909623462095, 601.78093205654648, 606.03589571190867, 607.02297259098816, 607.75563618411979, 608.07694720179632, 610.62890981107603, 612.03816772218795, 612.44057993217916, 613.21151210881328, 613.40794147098381, 618.5137149074493, 618.99041540905819, 619.17754611020882, 620.48339168900156, 621.82988844384465, 622.5054186575519, 623.88984829250558, 623.9637721504605, 624.67524756731552, 624.86146437238369, 625.96051208233598, 626.26528842683467, 629.07587051213238, 629.59873271290246, 630.20611007686102, 632.8210915831213, 633.94603377944168, 635.89035201800834, 636.55901503397286, 636.65286249313442, 638.47439591876002, 641.48067169992214, 641.71711768691864, 641.99713298914423, 643.39424523210596, 644.03666250026981, 644.94731881586677, 645.91722771349521, 646.27592004379017, 646.43805828571692, 647.12903673966127, 647.87691013333699, 650.0152479426315, 650.93604602435221, 652.92017270053418, 653.93292779944034, 653.99315560576326, 654.41952740523448, 654.81070727223221, 655.2439369188495, 655.32738244328311, 657.33029507484105, 657.65129361683762, 660.06520875488548, 660.48447545966633, 662.76322254251943, 662.91789259780103, 663.00895260123411, 663.60560254297604, 664.10893595832874, 665.79567400480039, 667.65836496528493, 668.85951887191982, 669.90593213131228, 671.81228120357525, 672.07851202065126, 672.99149137349968, 673.272736228903, 675.3571113622811, 675.87188137022758, 678.09491242714364, 678.27225393810818, 678.37542574498582, 679.53032405422164, 682.04683598384941, 683.50687960835535, 683.76400026830538, 684.27944426679949, 684.65748546520035, 687.51874979643094, 688.82071290077351, 689.68416922024846, 689.97611451499199, 690.25008358800198, 691.96207836499264, 692.23625101087032, 692.58195612015948, 692.69078381050724, 693.27044787236809, 693.98915947443106, 694.4846565676703, 694.98104469128521, 695.16848997136697, 696.63517005792482, 696.9997776753238, 697.23389444683824, 697.71547794240041, 697.89688906482331, 698.03729591101455, 700.37278822110636, 700.5538220529952, 704.70260156174811, 705.96076398200421, 707.86818650279156, 709.6013088957244, 709.76885805761128, 709.79283946355724, 710.66316537027626, 710.83128078106768, 711.6567605177122, 711.69236471730164, 712.83223183390407, 712.96052079437311, 713.06812511340638, 713.98881238241358, 714.43164068730539, 715.90448937060125, 715.92773379987761, 716.33476196067465, 716.64397010133212, 716.8902808343297, 717.57564914944601, 719.54081079222806, 721.01845049220765, 721.16738444657688, 723.25974732677184, 723.32625024486833, 723.60758923025332, 723.71984661225804, 724.08185933687878, 724.68225815584128, 725.16034891228458, 727.18637452689836, 727.5863426389667, 728.62472474123274, 729.36214765921477, 731.30555730143647, 732.06574004443837, 732.99691328424194, 735.46417530631152, 736.54712772246296, 737.10474077259516, 737.93052997700136, 738.03607265054507, 739.43223010132238, 739.77970527498985, 743.44051722281085, 743.95501896656276, 745.54919961539383, 747.67419038396076, 747.95288125419484, 748.58313682123708, 749.31102899031748, 750.07453316827014, 750.11437701159002, 750.48811894296341, 750.65303940421438, 752.43315843963569, 753.18567142134884, 754.44497640439852, 756.86387860844104, 759.16502755610975, 759.26343589071109, 759.44102858139433, 759.46331441986194, 762.26161465784526, 763.86908807211876, 765.34962103624412, 767.20948622530807, 767.5039005219312, 767.67915306518398, 768.23684013772993, 768.51704988568429, 770.95283295236425, 772.01548460734784, 772.56486159454062, 773.34206183729304, 773.56218507935444, 776.31638838249864, 776.91098798503674, 778.15921204057258, 779.14643452763289, 779.39788451876871, 784.17364925720551, 784.42169099454929, 784.67859029273359, 785.23815041578769, 785.53573197277024, 786.55854034367223, 789.8494370480837, 790.28737535381651, 792.06745438813232, 792.13112673637136, 792.95884769268935, 796.04287201898501, 796.15998620485948, 796.41367185563001, 798.35971623785326, 798.47481227899254, 799.47408866086005, 801.05816516454377, 801.2069878616885, 802.05139080211165, 802.69130003434429, 803.88640000629107, 803.96898065175571, 804.10664450300942, 806.16587309236411, 809.53708441849255, 810.36814182229557, 810.47946413169814, 812.46243208295004, 813.19780988511116, 813.23115823110095, 813.31063775389316, 813.86640951116954, 815.94931066727781, 816.06460923421855, 816.48627997737151, 816.51525860450192, 818.02352798113168, 819.16393060375356, 819.37086486797705, 820.89909999297276, 821.00787149033954, 821.41422682143661, 823.84391553021726, 825.31819049824344, 826.42724011462133, 827.18121247227543, 828.14607073372292, 829.12436589039578, 829.38700554351158, 831.53773479605513, 832.27679054731607, 832.83205267712185, 833.46110889852525, 834.16457834692517, 836.05714467226278, 836.08057898723303, 837.53192749541029, 837.70740990024717, 839.48948658473216, 840.34961253725874, 841.72864523484441, 843.22296666964121, 847.05586380066654, 847.25657402422405, 848.59580438593355, 849.26621441601924, 850.55782550911249, 851.89134390983145, 852.73778279963653, 853.74679466805776, 854.65603061621346, 856.74664938242415, 858.87790561777672, 858.92642126955855, 859.09381966690421, 859.37371745879159, 861.63969509572826, 862.46768583533765, 864.38989799068827, 864.51061214870617, 864.5538781376473, 864.64527042064549, 865.94950691723784, 866.29192185838485, 867.6149439733606, 868.0054086125831, 870.41006243471475, 872.04130153527967, 872.53778983859729, 874.29406778419832, 874.55615962080446, 874.60389971704819, 874.91020566655413, 876.00873537130383, 876.56717675475522, 877.69626254248578, 877.7174393668696, 879.96684484501554, 880.76402206823673, 881.97012547100871, 882.09309348563272, 882.4201550295079, 882.46573484218686, 882.71527495434179, 883.20404203715975, 884.37361816770851, 885.06174876512318, 885.14758344420409, 885.36366823666299, 885.84719965652539, 888.15216996066158, 888.2357792396715, 888.97636796639824, 889.23672870471762, 889.54847453459172, 891.66864661736679, 894.14537955400954, 894.40990855834946, 894.99034432999497, 897.72585232234746, 899.02635670389463, 900.28237049808001, 900.79058855033509, 902.1288134523254, 902.64825435775742, 903.17144797889227, 903.34260661451526, 903.51041707158799, 904.77160214225876, 905.05394572203716, 905.44112387518624, 910.08278173206918, 911.37755800378955, 911.7942777003135, 913.571420864998, 913.81963514370977, 914.15070647888319, 916.72616902873631, 916.89102001931883, 919.0240063078819, 919.43901181276044, 920.72938064174627, 920.90247267168297, 924.40258524742239, 925.54606083951251, 928.03095404558928, 929.52869534712215, 930.20039332957208, 930.3683047869207, 933.70719361824752, 935.3343928413093, 935.37151376212796, 936.83107731272344, 939.28128579333361, 939.43188234525007, 939.5926196349501, 941.56710953591698, 943.65245691618236, 945.09578894601384, 945.42241921047901, 946.21038136393031, 946.23932470357215, 950.90460926580636, 951.65926195440534, 954.31214078281278, 954.42383557231028, 956.21266170228341, 956.4542085668686, 956.73161308045064, 958.51247958400165, 961.02967985173245, 962.46705513773384, 962.51430303206234, 963.01433006383536, 965.05964507608769, 965.52786092261078, 966.84866557074668, 966.99885176039652, 968.15163307648891, 969.83942030208186, 972.06903615300007, 972.21819435673217, 972.82875809651807, 972.85101169293773, 973.7370658333532, 975.2166022479712, 977.11584270664264, 977.50657055760587, 978.32174957077609, 978.60452325261099, 978.67718759049717, 979.01188735442099, 980.2621021613129, 983.64174614179012, 983.67868821124796, 984.55052727277257, 984.8612448622149, 985.84518091190125, 986.18592602489866, 986.82310051657851, 987.89415771665415, 988.44194505082351, 990.24085315918239, 992.29267060955908, 993.05663957037086, 994.15165497802798, 995.51008957472823, 996.46762198143585, 997.12220064864005, 998.09340996374897, 998.79831525785005, 1000.4340320856965]),array([1.0802302542592179, 1.3320982599059776, 1.698834849388301, 2.9707346077765182, 4.4300668779172847, 5.8094992099132012, 6.43451546105487, 7.2032026265850098, 8.9263420242368152, 9.2933037309860609, 9.8568372677682543, 9.8809420729469828, 10.669152550565448, 11.165480592106475, 11.396123593497638, 11.43816836391813, 11.942473660901701, 12.596941454758415, 13.082721288764045, 13.397854515333453, 13.545320392016269, 14.505544353273089, 15.84618843839905, 16.688017678555983, 18.523794109592899, 19.297500407657935, 19.509782657301884, 19.866517635344191, 19.907675945088307, 20.051313254213298, 21.972782291261602, 23.626187519116069, 23.722886506994723, 26.31823606030953, 27.044251267629221, 29.815601138873962, 30.619258252765849, 31.502148255212013, 34.114662751467741, 34.460424070485132, 35.609837691172139, 36.92086492877786, 37.020851253626581, 37.678782164578365, 38.294912823354572, 40.77231663565896, 42.651114295832414, 43.277751878746081, 45.062787105817598, 47.078764756371015, 48.584511782251404, 49.712721261225198, 50.503792293981832, 52.67736555816537, 52.874791424372894, 53.174550948011721, 54.237827233539008, 55.324119296792617, 56.007529696608643, 56.310225179953079, 57.853334421070528, 58.807857332652212, 59.670952824958626, 61.115901146423141, 61.805829142740194, 62.326756880690205, 63.016327058589333, 64.555531374653569, 64.902329721558502, 64.926652000312686, 65.50921567382855, 66.879762169525875, 67.258176457348611, 68.269365627207335, 68.469506612154632, 68.812851029072576, 68.982396955748911, 69.226854039222033, 69.365895000204091, 70.002717817115439, 73.055442980179322, 73.268009499359394, 73.884429744111088, 74.105692402847808, 74.556750410045765, 74.831360795631625, 74.997152305386862, 75.453864284177769, 75.798097693368746, 76.051252934282417, 78.486711450946842, 78.811084552513094, 79.108441205434588, 79.63945641963987, 82.500340154970459, 84.162436159616675, 84.605798765268261, 84.878393439724377, 85.077119128388745, 86.832643294694918, 88.032898569256858, 89.857463970364478, 92.571889773042386, 93.756858425249064, 93.892264045829606, 94.424516192991376, 94.83475117147762, 96.122689965395622, 99.610029331683378, 99.791654886655436, 101.34005441760775, 101.74750112209097, 102.41123589803269, 103.58240957682784, 104.55110193530264, 104.8020179036149, 105.71455938519394, 106.87975612078628, 107.07935588554245, 107.273653452018, 108.29291395680907, 109.50327369554935, 110.44144899183364, 112.26066820222782, 112.37195480898554, 114.65389821064866, 115.76515983347257, 119.12750376820122, 121.62667049881124, 121.83441954514632, 122.10845681660261, 123.12459899866576, 123.96889683234859, 124.94827884059467, 125.7239730658379, 125.80562730155182, 126.42372576391708, 128.56317692724073, 129.39694871573329, 129.53963264165492, 130.06273009102043, 130.23208782368727, 131.91500127747827, 132.87421777149135, 134.36119932626073, 136.39357599398795, 136.52317288245402, 137.14972184239184, 137.66231539201419, 139.49767847774714, 139.52986340499851, 140.60622892557467, 142.40934787812898, 143.59748111524604, 144.28099797851681, 145.97113489255679, 146.64117487988852, 147.37251814027118, 147.77295375073538, 150.14945359073332, 151.17006442171436, 151.39001389749851, 152.7911243474565, 153.89264952295429, 155.8728161258494, 156.16175058560077, 156.25072622967571, 157.86652220043314, 158.38563885202362, 158.46747841647485, 160.21875188060315, 162.25464739851043, 162.92984740503678, 163.54447113170713, 166.17768893984481, 166.57411668721218, 167.03822537310506, 167.22634732349215, 168.3944630877788, 169.0563110959948, 170.11300436880114, 170.48543136452366, 172.54615253361888, 173.50785003662995, 174.5634446318501, 175.84453773523461, 176.13226360355782, 179.61075572941655, 180.12449694663468, 180.60826309281447, 181.49495708037787, 182.6141098069734, 183.01149213817595, 183.39351720178891, 183.73409931689972, 184.17348545042088, 185.39339518470948, 185.78254972501833, 188.03384085172794, 191.68158984016517, 191.82445249479059, 194.66169069405805, 198.09110559927026, 198.43639861827324, 199.68637841910416, 199.77940887822939, 202.16424244942962, 202.33824846219429, 202.45818879233187, 202.67831423153316, 203.95981823191755, 204.34311834329398, 204.83734594804037, 205.51795741757431, 205.78041916538885, 206.97618526107254, 207.22163508703954, 208.13581680664214, 209.05247202880744, 213.34092928953802, 213.5080297784333, 213.61126892915257, 213.64814211138568, 213.97523210859649, 216.90771150552018, 217.00952807550658, 218.16781425477356, 219.1348165660288, 219.7115670023008, 222.81028643201412, 223.34874762947646, 223.62151215237535, 225.39480380095873, 225.5061524093698, 225.58667598833784, 226.40757952193891, 227.94270100613636, 228.990762114842, 229.07892793353071, 229.32889648117583, 231.05157081480738, 232.64453694250906, 233.33804905044113, 234.1587657323517, 236.33769879196655, 239.86038184376326, 242.44756518942705, 243.10696040828702, 245.47890026700696, 245.79661750848797, 247.11376645614232, 247.48157952471291, 249.46879804478013, 250.93757928808805, 251.63203822064509, 251.73227833085468, 253.24652088965635, 254.26467878065102, 254.96654365776331, 255.09949016738901, 255.9882580062129, 256.29342409478573, 256.41068877351017, 257.06311547942869, 258.95023802556773, 260.2181363796239, 262.51713869909878, 262.9648772227979, 263.64557055745405, 266.537573988573, 266.84366901799882, 268.39229669491237, 268.4626274179721, 268.77727893873265, 270.42402105311595, 270.59118829402888, 272.16499649862573, 272.40585616498538, 272.51160879329831, 275.65527107025645, 276.03523392870216, 276.12574914005205, 279.18280282778625, 280.16877453014382, 281.66392598848705, 281.92997659629509, 282.75581392622331, 282.9739816426391, 284.19472402219355, 284.73603673398372, 284.9298381951096, 285.43172812618656, 286.80469438089864, 286.83118736478269, 287.10291491546985, 287.92338114880073, 289.10623956522215, 291.04802391697893, 291.72211709750513, 291.91744210526514, 297.8939234545652, 298.62715197750606, 303.0250532778133, 303.97869174177714, 305.04051475941174, 305.41883983793741, 306.82413274421424, 307.37736059433126, 309.6932922737779, 310.17653150616542, 310.34898892291937, 310.83627257218427, 312.55446025712894, 312.58100804678435, 313.95598626284368, 314.47596357504136, 316.33900895700287, 317.86675083050989, 318.70625837838526, 319.62851818479413, 321.88546729408364, 322.34328660403077, 323.73191655958902, 324.1078699752897, 324.35081755656404, 324.53237543163647, 325.83424318231926, 326.80684447188162, 329.37550145670116, 329.83960696479693, 331.18431212411804, 335.32376445418231, 336.7628295262565, 337.63226838673688, 340.60644445724961, 342.22909459842276, 343.17609805474518, 345.05209463276856, 346.29325223226863, 346.39417878558459, 346.71343289054886, 347.87021029422493, 348.52159436901275, 350.05992386936288, 350.17414147415866, 351.89691504354101, 353.21139945546344, 354.9602219454087, 358.7094464290455, 359.76074876381352, 360.90759771153415, 361.06222229130378, 362.18722544807747, 362.24662991453295, 363.17825082005527, 364.37468879267612, 367.15893926375418, 372.36932147910676, 372.869773930424, 373.97439286986366, 376.09108081877588, 377.59813375963535, 378.09663707102078, 379.09034046087186, 380.96280395001025, 381.73965955221422, 382.97871502942797, 383.08879424546433, 384.01040290935293, 384.84290353427491, 385.56411251635626, 386.19156712108895, 386.4584196530372, 386.62845004016492, 388.19877494353989, 388.50206835906152, 389.59381328554571, 389.7666384225999, 390.52486459165266, 391.08365519011562, 395.81031549662868, 395.9244772693699, 396.11247267634957, 396.17861428494376, 396.34719529481731, 398.10983881107285, 398.32211497763609, 398.44280338679181, 398.63936519551532, 400.29035662803705, 400.79105069377368, 401.00965076574039, 403.08037589569381, 406.60460917249742, 407.53868624384307, 408.13574181397809, 409.65325344333985, 410.46416547995659, 411.59887787945769, 412.19675177292487, 415.77764202429501, 416.8760263466981, 417.5727913013086, 417.75403484206913, 417.79375633211885, 418.43099699173365, 418.76684165360081, 419.36959598370993, 420.84464847721199, 421.27323527841452, 422.33279145723913, 425.15191285572212, 426.17237616651516, 428.21065076168372, 428.39160937404847, 428.50046788312795, 428.54417755135603, 429.08100420260706, 429.96707887727223, 430.43772203521092, 430.5483807390824, 430.60558262011796, 431.17745088535025, 433.29814147871684, 434.76249731076064, 434.91411565644711, 436.20054860365804, 437.35610348035334, 438.86897961104052, 440.58795170108584, 441.36617464408243, 441.71260812669937, 442.28003918093532, 442.7441742945756, 444.17360112848485, 444.87962301626641, 446.35249292813722, 447.13515735474351, 447.48627038967732, 447.91210099946284, 448.11417503916829, 449.19929123826159, 449.6588252571969, 450.0472422970733, 453.11959752418892, 453.37824668540173, 455.79963340311576, 456.85622418557273, 457.3543781664377, 457.44254076435431, 460.92041042243494, 460.98316307761996, 461.00361199665127, 461.27380097186358, 462.6101416194989, 463.70379251378012, 464.27485969844139, 464.60406833626661, 464.8430158401585, 465.35748361757868, 466.36952693240488, 467.39435284642957, 468.12305911021741, 468.9880081999795, 469.25147846363524, 470.28010397403176, 470.93776911795379, 473.72186216362894, 474.4783971812189, 474.57638605735309, 475.1491940504427, 475.22883816340993, 475.66631810817023, 477.71707933348966, 478.52784984272665, 479.64157166089876, 480.37850611155454, 481.61463892430663, 482.62565349732301, 483.19922368835438, 483.51616871100254, 483.88630926256639, 484.38971674195255, 484.45648937997061, 486.28387459013169, 486.40215689109772, 488.57970198933003, 490.42345499120069, 490.79855676240226, 490.94430378530825, 491.47570254326189, 493.41073465437086, 495.33624038637237, 495.37633536666505, 496.15433837588671, 498.36292199478333, 502.15655537585576, 505.60048111349192, 506.3556728208755, 507.32563788881987, 507.38341521038848, 508.90453400520835, 509.39206596549406, 509.42543979808937, 509.68304896388128, 510.61758462628143, 511.30991804456943, 513.41745985961666, 513.98578086315683, 514.2128651726473, 514.40125459389742, 514.5088098266308, 514.74537516021257, 514.89447356191386, 515.51622990055864, 515.98455685593933, 516.68265166620108, 518.16194719806413, 518.6950278895614, 518.84207239717261, 520.53547526782847, 522.21023343377817, 526.62731382298603, 526.74106026109575, 527.02935141746309, 528.28242542796602, 529.24449242854507, 529.37752171897932, 532.97172082786949, 535.27523228154018, 535.37193176663357, 535.66402711731075, 536.41965839564148, 536.67783902545477, 538.0598914613779, 538.33100609760174, 538.56219553267931, 538.77721782277445, 539.64297243538203, 540.64589572442094, 540.68022294848811, 541.19682401773707, 541.46442348434493, 543.0375098246343, 545.0834865115628, 545.27973954389324, 545.72865473749164, 546.72910273888715, 548.87922444722949, 550.57577229848926, 551.62093581351871, 552.44150995275777, 554.38229717169997, 554.96644174707774, 555.81960555406249, 556.236911139467, 558.72263999992379, 558.83550975395644, 559.1444257414928, 559.7617314289937, 562.42877264512049, 563.35090125483089, 564.27634116341187, 565.34910494834503, 566.85162542726084, 567.76678740581042, 570.07027182858747, 570.46331699337088, 570.72687040176072, 572.80573452952854, 573.57711154732863, 574.3821067900758, 574.82486157801418, 576.61396360986214, 577.68783800469475, 577.73940428525214, 578.18828814838514, 578.56509537343379, 580.0460484778514, 580.924039773152, 581.89598612005057, 582.56361937813369, 582.78150279264469, 584.13322476198039, 585.09460030566765, 586.74077709942492, 587.27060180050591, 587.54277840962402, 588.08185199715842, 588.48385659640041, 589.08488296791529, 590.13107891207562, 592.86488510542415, 593.02394769698344, 593.50752951981065, 593.72010806183846, 594.01473763148499, 597.99285688620398, 598.10551188189413, 598.95845451401851, 599.14879707073703, 599.31717549617304, 600.19657670149525, 600.59345555777384, 601.49393668318555, 602.51928654555024, 602.88244699095424, 603.56026508967193, 604.75445414530373, 605.19646574479293, 605.23680707165147, 605.94426466763889, 606.75827922470808, 607.43081289162308, 607.54012491796493, 607.68364193174386, 607.97741936797604, 608.32413197421795, 611.20284281983982, 613.19265569571735, 613.3472484493841, 614.39262840330264, 615.82510259745061, 616.98981696461033, 618.99504284838827, 619.43866375668347, 620.78980185442208, 623.15169340939849, 623.71247013028312, 623.81727689574916, 625.40402843584138, 626.05264243869078, 626.65002813716296, 626.7909124016619, 628.16045236135085, 628.50133264360443, 628.74748318595175, 628.87506435072612, 630.29527464278158, 631.66168418983511, 631.7510134137666, 632.0323109213773, 633.42915362226051, 634.26188784620581, 635.60140281058955, 636.16293319353633, 636.41409863825197, 636.58885785208577, 637.18468333065107, 639.7149425700602, 640.12597074689052, 640.24865536932998, 643.30406187447795, 645.23223988118934, 645.39506525035688, 645.43313105722018, 645.60851725528289, 649.49534689191626, 650.34471929969266, 650.47830521596575, 651.79940010787004, 652.32315072728557, 655.0014561473713, 656.64844201541314, 657.40315448640047, 659.66403544048194, 660.14163938547881, 661.85425839572565, 661.96253086916477, 662.39898383597176, 663.00264795434805, 663.29158364767, 665.85614720268666, 665.95673698070016, 667.89475914205241, 669.71053421882948, 670.74205901993503, 672.12763999811489, 672.62255847541496, 673.16635573295832, 673.56238024692266, 673.96570217691715, 674.22527352903592, 675.31351494327839, 676.21784411520173, 676.66953843389945, 677.36863274025734, 679.21385842221025, 679.29792979124318, 681.01600356387155, 681.84153233120503, 682.83745464879894, 682.89930448935581, 683.00731302591191, 684.37805590519679, 685.95153585003004, 686.12323235203837, 688.79190253295656, 690.56129490069566, 695.93275803421284, 695.99568176888522, 697.8859331699324, 698.19565350367066, 699.52163144701512, 700.07130188047449, 702.20069991576372, 702.91620605480273, 703.23162813744534, 703.46424390793698, 703.68254646443881, 705.2788440993462, 707.17080416362546, 709.69327554504298, 710.31397294690294, 710.60134995640988, 711.65554217415672, 712.14824256372469, 713.03890277080814, 714.93674044067586, 717.47941510353894, 719.02965587472124, 719.21465746929039, 719.31761304535212, 719.94065292910636, 720.32700663633591, 720.65684657434224, 722.6473808897365, 722.93324110808021, 723.50672227942368, 724.89692152990472, 725.19556018064827, 726.08054937203212, 726.95540141959611, 728.32134962188809, 730.88967886045759, 731.40017651786604, 731.52133973089849, 731.55570701186991, 732.9960995391757, 733.55351770343736, 737.82075517692067, 738.55904282297877, 738.73983296560721, 738.82834438513225, 739.8791990582788, 740.20784037715543, 742.08272971498582, 742.55983194223711, 743.29305440705116, 745.0523803922755, 745.75537843218649, 746.1924645171423, 746.32250627770156, 746.96556391078218, 748.67664173790502, 749.16578282288208, 750.49521085617505, 751.35107814919672, 752.54789351584134, 754.02389025756918, 754.15878930609495, 755.32337305834426, 756.22558495092653, 757.0353446376788, 757.32864107306284, 758.28187789071171, 760.47353080979246, 762.11728619478015, 766.15022054918688, 767.68186669862666, 768.9518285437789, 769.11067864692916, 774.55162604882526, 775.72288437039583, 776.9995620455893, 777.6133184167677, 779.51009625663676, 779.72866368138375, 780.38600123445849, 781.81170270064933, 781.94812438392159, 782.07320734447103, 782.94741031334263, 783.45793270142894, 784.35626677203197, 784.74070840438935, 784.78926887323314, 785.70716704449774, 787.90113797908327, 788.90513242835698, 789.19431785460404, 789.55519647102392, 790.65022932727913, 790.77610596355998, 790.86618156920611, 790.96226051741201, 791.26499267839654, 792.05767509740872, 792.25840656282298, 792.55457410972792, 792.74484439725393, 793.4812956980212, 797.15245054930426, 799.09028643262002, 799.23242074130292, 799.38505584759525, 800.86851337410303, 801.82021556400753, 804.51349612615161, 805.23284741759039, 806.69882574602423, 809.50226217918032, 810.8365661889593, 814.18899360605451, 815.22222542705606, 816.67166335911145, 818.71154764050857, 819.37906033449951, 820.74855712638055, 821.02902913176217, 821.49418601805519, 824.60767432390639, 826.02098130789955, 826.3929604519783, 827.0907491552689, 831.64603050504672, 832.64629380125814, 832.97691036559218, 835.62722367522213, 837.51186552593106, 838.43841749388469, 838.49557903508833, 840.25078339202662, 841.0991888022088, 841.94669183240194, 842.13065786395555, 845.63082941957521, 846.50013985317855, 847.10909924354019, 847.53269852206438, 848.25441323120276, 848.77973585474626, 849.01401186922158, 849.88821091509396, 853.78935618797527, 854.60566083582569, 855.05045455029244, 855.53773793051153, 855.98965331233103, 856.59028686622833, 863.17517822463697, 863.2880803421458, 863.84247935805774, 865.84393504272714, 866.80149323578848, 867.35463105373697, 868.09650702188253, 868.17973872938933, 868.5945125541956, 868.97533934732633, 870.77778376751553, 871.10301412180081, 873.4388998612045, 874.8372488694074, 875.99403403498081, 876.31805659593829, 876.74563537649522, 878.46314638345234, 879.23987255268833, 881.44813036794619, 881.7029351957267, 881.8075278320556, 884.74467344620291, 884.80173437178723, 885.01909787806221, 885.66321560610299, 886.02612737155948, 886.6487035100738, 889.28875223305977, 891.22733097770242, 891.377977954431, 892.76271942619201, 893.5134523966002, 893.63790691765382, 897.30685815608547, 897.65955628398456, 899.47838020173094, 899.75032381297422, 900.45240109772431, 900.5242213814081, 903.04360078806701, 903.60994575745804, 904.45986083239518, 904.99443898992001, 907.1617801292216, 909.1579269395304, 909.73909283900934, 911.86471294518037, 912.13139919057699, 913.99976846285051, 915.35605195043354, 915.67997588790547, 918.19205674907562, 918.32314610611729, 918.62325249704963, 919.05230179521527, 920.63840533178984, 922.25380124969286, 922.91397456679113, 926.38388733357203, 926.57453420526338, 927.99671374147749, 929.631392209154, 930.51351422824143, 931.07044834379337, 932.74180021220263, 934.62220439756697, 934.94534745387534, 936.18887755233391, 938.55329499808738, 941.13675558583373, 942.54551647185474, 944.18991599321691, 946.64235703268889, 948.48215734595772, 949.10341401101527, 949.28108394164599, 950.95503027782115, 951.10938593861374, 951.46235315883382, 953.34945894359987, 956.43024446711104, 957.23356355849717, 957.43137055105262, 957.48774009601993, 957.74538955276921, 957.76828499407929, 958.64541028362873, 958.73594633958828, 959.03273051830956, 959.12059857593806, 961.02271154161542, 961.13640523969923, 962.13886301537912, 964.06114896139889, 965.70920537887048, 966.25202791408537, 967.31891447886426, 968.44092967423967, 969.59397646893501, 969.7274952903349, 970.87570153073193, 971.85378779704968, 973.0765878442636, 973.3557547059288, 973.74988173079794, 975.48026291688848, 976.61962242236484, 978.74894141798063, 979.68846070750419, 980.43005333318592, 981.11606028343965, 982.43851293219598, 983.40755510831616, 983.68886706302044, 984.05505671983053, 984.35659950155889, 984.80902730472667, 985.08771439971849, 985.2030947496437, 987.96444038636469, 988.12108819534672, 989.33448765002822, 991.52169083388594, 992.48355200310118, 993.26621940581003, 997.41276560511858, 997.64091530570306, 998.80080505807769, 998.91748734589487, 1000.1854671854293]),array([91.89807193907221, 92.24944084353541, 93.317207265783637, 93.632867865443657, 94.200919365002292, 94.851211889007587, 96.866043226618515, 97.05855623380657, 97.512547495659746, 97.772624542846373, 98.341948024261129, 99.889679339886314, 100.16106292006215, 100.28452841394002, 101.47298035525095, 102.04865026475561, 102.25720082672863, 107.44973167159168, 108.17316698364056, 110.03757984522498, 110.78835211850402, 110.96006536103609, 111.13875557831921, 111.20472097055368, 112.22024982539186, 112.32255231618582, 114.13236843907579, 114.62064349597739, 115.68591809926642, 118.48591393451272, 118.98811850296818, 119.58949169932592, 121.45904948113397, 123.67113893032651, 124.32320409610313, 124.57714815598959, 125.95966985147925, 127.27740201269638, 129.46278427269004, 130.76205093072278, 134.40383253400009, 134.80712425587521, 138.52440359257693, 138.61202381440623, 138.73397668499015, 140.55129599538853, 143.87304069874676, 147.56766396812722, 148.60610549031344, 148.97000137969167, 149.1345023558161, 149.20728834884002, 151.16646393263474, 151.33411583137291, 153.68865468492319, 153.82110324114115, 154.02631034722964, 154.53846446621563, 155.48814733008331, 156.18932456774189, 156.59929470561084, 156.86869747868988, 158.90015967943262, 159.13870407106859, 159.64096614716655, 160.16892350058143, 160.34927720873367, 161.52433949626322, 161.71088907314135, 162.87628167335987, 163.71518276764124, 163.95317454128906, 165.07330571660373, 167.7351452355156, 168.90939533578347, 169.40510650041193, 169.70775235573441, 170.74036467084781, 175.27445248255304, 175.55226630188233, 179.04558726838499, 181.64207600217262, 182.22534141584251, 182.29512197230886, 182.61922169739333, 184.05717078501652, 185.69547140292508, 188.0811299977635, 188.62406282417419, 189.93844952380641, 190.56922093093712, 192.24429227573714, 194.81092504144729, 195.09259184781223, 195.52237659271745, 198.42274433649098, 200.00139757563701, 200.22039252355756, 200.27452704163989, 201.08098022707853, 204.7112293946021, 207.04192829008142, 207.73661436956334, 207.79902205485553, 208.32645607438596, 208.47843225765297, 210.66453674457705, 212.76707451014008, 213.21989174025759, 215.93375714873679, 216.83224718381513, 217.08788050959737, 217.25574862242007, 217.53680899038056, 217.62955279595343, 218.15108028918149, 219.28912528167055, 219.63870750322744, 220.96907378861155, 221.34547225301546, 222.7571849163833, 223.98989120157188, 224.54704541054403, 226.38635428818037, 226.78461765494086, 228.74214182354751, 229.88460527014371, 230.51008090636478, 231.07432048380508, 231.11787205979775, 232.83630949547731, 233.12366482505411, 235.83473098479175, 236.11103956540046, 236.1732260379336, 238.24090591031074, 240.28770592238249, 241.08572467804876, 241.17921453852853, 241.71261504599522, 242.01176643945033, 244.26166538827957, 245.73993518959091, 246.20454172187226, 247.13513492146919, 247.19698401994279, 248.99761967828033, 249.21046690511673, 249.75941431387011, 249.8878196565542, 249.9184394917491, 251.16991716686633, 253.82393370155836, 254.19837052936737, 255.18973121272202, 255.68731605447388, 257.5585795474459, 257.64063801454949, 258.36386419118782, 259.30443443737175, 259.97410493486831, 260.08246968184579, 260.99869189799659, 262.03862421458564, 262.88625495416062, 264.23797171160868, 264.41340827027176, 268.07768059438519, 268.34863074853837, 269.79864939652924, 269.93131137935609, 270.33709029803401, 270.86934333173161, 271.76634627604949, 272.09608812252827, 272.79372025587622, 274.79974294803486, 275.20493701084956, 275.44287474287495, 277.45351301363854, 278.84092254165824, 278.90462798788144, 280.07742306768648, 280.31335148621395, 280.43371389002147, 281.5154200778328, 281.55357410195654, 282.06608958269112, 284.98998642966319, 285.04979696332435, 285.2808146932411, 286.48916874695431, 287.31619828813859, 288.12702166482211, 289.86862438375425, 290.33193455255918, 292.33748788406223, 292.60269082168389, 294.2954144699541, 295.04293192912127, 296.21124179635359, 297.86365579579211, 297.89780510436373, 298.35414697969867, 298.59966295778122, 300.68881052162754, 302.46994025864683, 302.8168495357869, 303.55940830866689, 304.25854728349776, 308.18328006033545, 313.49890134887391, 314.29973890870963, 315.86448626729509, 316.35181560355568, 316.94400731267052, 318.12096928127886, 318.89510794553075, 318.94725887877144, 319.71846994163991, 324.92903414895687, 325.42783457494676, 325.61372423342721, 325.8848797457, 327.63533245200244, 327.81594374440164, 328.23898858850396, 329.10363760177569, 329.2630201061553, 329.52068479473991, 330.94028379063872, 331.47771298014294, 331.70331960731687, 333.70569074004072, 334.1195539537207, 337.90581365157675, 340.28398937712103, 341.98438004220174, 342.30992610690549, 343.857715713723, 344.08016554411898, 344.27252335281281, 344.58231583044977, 346.66664649174419, 348.76596364568485, 348.84726883389027, 351.21981117138773, 351.25928947449785, 351.64037563002273, 352.53066718748499, 352.76074705339926, 354.82779046781815, 355.51257777303363, 355.87396784387715, 357.63195418948033, 357.97760286228754, 358.69185573207341, 359.75770693733671, 359.97602684109665, 360.77830166933222, 360.80363082504783, 361.25783095321771, 361.64501846200142, 361.85928612089367, 363.50198710704814, 363.72885061121593, 364.02303651765715, 365.36003484716502, 366.81334692303471, 366.94353255583695, 368.04775585987812, 368.74614840594751, 369.11625744403858, 369.46068506492747, 369.48999581978154, 371.61664232628402, 372.44688848028056, 372.54446014204689, 373.54142284865742, 373.77566155490331, 374.40943372786671, 374.53291688622789, 375.10440808023463, 376.60453661099837, 377.07712762870796, 377.90989883573769, 379.20863551838556, 381.42711909798118, 382.37138085725292, 384.59532732690656, 384.72452168548585, 385.05512544672001, 385.75897670132537, 390.88448372586981, 391.86434621285997, 392.40239374262705, 392.68723546818291, 395.07420380241547, 395.20245473952474, 397.51749847406279, 397.61855303458259, 398.54458703699407, 398.82365216608116, 401.00396081213631, 401.13658532621713, 401.32054366920255, 403.99573840578228, 405.21334771785786, 405.97001979999857, 406.06202905004324, 406.65661753944966, 408.21767755738125, 409.79252404390121, 410.24543396156429, 411.16719460447177, 411.75219234702308, 414.43189842392002, 415.57088409327326, 417.37495996916209, 417.43681217447403, 418.73518561985111, 418.85793964095609, 419.62530254001922, 421.27968578604288, 423.00551899127584, 423.06022405280493, 423.60723742609241, 424.72811600466241, 425.40178883675594, 426.2795026473263, 427.2232998827692, 427.82593778715193, 429.10227324761843, 432.10326816894894, 432.39883022859652, 432.81268595387843, 432.8647516319358, 433.11063414070321, 433.33205706350088, 434.68576814912382, 436.26079017726011, 436.7035646950813, 436.74713367014317, 437.69381623045319, 438.1105568211816, 439.25061467008027, 439.36915375167024, 439.47088587341096, 440.05371008173938, 440.31353734386659, 442.09986553939291, 442.14761019561888, 442.95108218324327, 444.15432888195932, 444.2651823605359, 449.10488662809144, 449.76405531156024, 450.68953777645004, 451.45488866839503, 451.94889514237315, 453.42694325269952, 454.71154585842862, 455.80437585053562, 456.09090455035135, 458.75314748039648, 459.36689019686349, 460.95000855180837, 460.98640144226084, 461.63408027068203, 463.38045915464375, 464.00839436808633, 464.9112468556965, 465.93193914847092, 468.16703468050122, 472.67287845626129, 474.00587220908329, 475.62380981754012, 475.64653503826486, 476.47737512717333, 477.71322460445958, 481.14304598675949, 481.64278940848448, 483.65890914031036, 485.36151446546972, 486.4808386267631, 487.01602995982904, 488.40075397509963, 490.28077157298264, 490.50474605918185, 491.03356060532292, 491.11440295544759, 493.62112469828367, 494.25806092796506, 494.63850873160351, 497.44639094363026, 497.54754573025474, 501.21027375344903, 505.00385171374086, 505.7724017092811, 508.57934442827946, 508.8097725372732, 509.40137923998469, 510.5108953916141, 511.59585216322455, 512.78710252082317, 513.45869691805217, 514.4563118133716, 514.51614623020419, 515.51124938001146, 517.07011993037304, 517.27798230100018, 517.44009167632919, 519.73737628384163, 519.80100720037308, 519.87181537839626, 520.97646672191013, 521.27890683426358, 522.03914932296959, 522.27443445223116, 523.15658465049728, 526.49432151430756, 527.6738694132921, 527.74359141583977, 528.14207741531436, 529.64226142386519, 530.46169443550559, 530.6268421574357, 531.54229153428673, 533.43272298243539, 536.00869799123359, 536.68369448261501, 536.79216194279206, 537.42811296855905, 537.8180415397112, 538.02241559786034, 539.31993954932034, 539.60199106256073, 540.34645821597849, 540.49545978652634, 540.97067849506743, 541.47031662564928, 542.29603073246017, 542.39698107417939, 544.16009182528785, 545.30110765587244, 545.59332180079764, 545.73259778487784, 546.84374181084615, 547.73445269504407, 549.83985113298661, 549.86872701947163, 552.22067570719651, 552.75966338250601, 557.14798067091988, 557.71296597902108, 558.32405649362772, 559.70137399931377, 560.98006878241108, 561.25848221224294, 561.52063130087356, 561.657272452033, 562.18415665300233, 562.33269128464531, 562.35283526098306, 562.74868061226937, 563.37726852455751, 564.53501391895747, 564.61175451177769, 565.21881051696005, 565.25097281631724, 567.72606914404753, 568.14671057081421, 568.6891012935223, 569.53757947856184, 570.44961886109309, 570.56715839436288, 570.85186844144062, 572.70296127081656, 573.69717843512979, 574.54052487326635, 574.71953597943582, 578.00832533793414, 578.10461407010075, 579.00339298270057, 580.81471047164666, 581.49346073169829, 581.70478747972481, 584.5052230745614, 584.82429964645132, 586.90076602900353, 587.79403482409248, 587.98950998840871, 588.04221670899756, 588.19681339228862, 588.73775529521254, 589.87812125560481, 590.67455702300947, 590.82038099362035, 591.28118447702161, 593.86727577748411, 594.56395539358118, 595.04271735455325, 596.93538811127542, 598.42652241710368, 598.53467464969196, 600.35390424849766, 600.63387226394536, 601.16313775459616, 602.01602820083531, 602.04826342823264, 602.85089964087547, 602.91632215762615, 605.22231111567044, 608.71273286437838, 610.33505234641393, 611.57019851671066, 614.39314668502334, 615.74123907178864, 615.7782843198014, 617.34925892898445, 617.65048126365241, 617.68545629050254, 619.61692892221686, 619.96241513434643, 620.52742380673385, 621.58145279225675, 621.67307453150045, 622.51232605062887, 623.05267362439224, 623.80104428218897, 624.24736528956589, 626.12005009248855, 627.0693448385648, 627.84800264409807, 629.11430603826909, 629.86118293625145, 632.59511352310267, 633.26081928488043, 634.2724030062991, 634.75072340168992, 634.94154627006606, 635.96388280487929, 637.68131061177223, 642.87619171695212, 643.88796052561929, 644.47325860670514, 645.86475423247373, 645.94287140330596, 646.67509617746782, 647.05786799831094, 647.5493248537631, 647.67472945058705, 650.51209000304277, 650.77904472961984, 651.91185125039215, 652.37874566439109, 654.66803065767476, 654.9215355877908, 655.33595414433159, 655.8795803096109, 657.50419443306805, 658.74348971200538, 661.1412809116938, 661.54656823708308, 663.16791360922184, 663.3313572575837, 663.39831494723512, 663.44292940821629, 663.63751946214654, 663.75329203751278, 663.9659680311529, 666.56858735894889, 668.35034974106327, 669.34854776997224, 672.75841203107257, 673.5385893220739, 673.5897253829263, 673.63301328994817, 673.87547244618145, 675.79824230352858, 676.56044807810861, 677.76238169315707, 678.25752710136817, 679.30882833132284, 680.53133812317253, 681.38212039903226, 682.07945070483584, 683.71852367836334, 685.34700881914114, 685.62896360508012, 686.66100087501809, 686.88366124506706, 686.93291944986606, 687.71649166809561, 687.75449189197127, 688.3131218926975, 689.26644995722563, 690.35809795695161, 690.71826854007782, 690.76596196633284, 690.99103673109914, 691.78600958201355, 692.08353703874093, 692.87200743109838, 692.92520280936242, 695.6056766144427, 696.21388913501721, 696.30368874315104, 700.31587416719458, 700.95091659507068, 701.20827492454225, 702.13901537109575, 702.62887997777636, 704.11287840520174, 705.77757841810273, 706.26103606929871, 706.71243969329078, 710.07151108951871, 711.41529520453037, 712.04364841219069, 712.19091798401416, 712.98790019885871, 714.04743635675879, 714.16365999470918, 715.54268028023455, 716.37141041829614, 717.94911900443503, 718.31848132258142, 719.27173191393285, 720.39397789239365, 720.80604551966803, 723.47988587378825, 723.9095561270907, 727.13585049397466, 727.49127533794831, 729.46536723057295, 731.78607262812989, 732.84123370591431, 732.90224526332941, 733.35947814460724, 735.6355075670067, 735.70246651872958, 736.16640304886084, 737.19334396296642, 739.43300509160099, 739.69165750609693, 740.6762362489801, 740.75485459026379, 741.41714160532536, 743.28637564104895, 743.9711396185063, 744.2791545840538, 744.93130144918405, 745.27880938027431, 745.51213645337145, 746.8792501169944, 748.68540219138708, 748.95716203714971, 750.75522469091004, 752.18992531663582, 752.36826889965448, 752.56516020702793, 752.97041151447058, 753.28113852824083, 753.67011589766298, 753.77831006863357, 754.24018589551656, 754.41172921589077, 754.99366617251144, 755.47737415545521, 755.75793551748995, 756.0731869510405, 756.20917635210537, 756.65303629301195, 756.84709544765053, 757.16600785905382, 757.58539286040116, 758.25650431515146, 759.32500339636567, 759.88168795873423, 760.56831684946178, 761.13969864295348, 765.41823708955837, 765.76946065180937, 767.32446217434756, 768.72751524607861, 769.94048770932022, 770.14058327679641, 770.20241712562074, 770.574317880938, 771.71805521875399, 771.92423790805526, 772.91880223188912, 774.52470912066315, 775.40813068518776, 777.67468005317721, 778.22977848928429, 778.66968419054876, 779.89410762121827, 780.66747250802018, 781.37661818586855, 782.72543313851168, 783.24540391894811, 784.65018685351413, 785.5861217195029, 786.75897469724896, 787.01668121303794, 787.65928851546528, 788.38282860332538, 790.20153135731948, 790.48640694466803, 791.01901004768217, 791.83682182419636, 791.96683054725588, 792.40864848193746, 793.9573393575389, 794.98550393073924, 795.71189377791006, 797.45336933339047, 798.14804645027982, 799.47651735198372, 800.96009941954492, 803.1711836731439, 806.26014596285756, 807.24039937631983, 807.39717530911366, 808.96644948792266, 809.69323979673129, 810.2484024166248, 810.95811440867601, 811.12780336229582, 811.22104329241256, 811.45958178892135, 812.80533997040277, 813.06452303043045, 814.4225160067416, 814.48976377960707, 816.29509960937969, 817.91417687635169, 821.17111789835906, 821.62447835157161, 823.37867626132686, 823.43636314860953, 823.81981346881594, 824.78659251921977, 825.22143355606056, 828.79317735864447, 831.84077700628802, 832.57064195566329, 833.8475544499737, 834.86727765259548, 835.10637998266327, 835.15259983113413, 835.81465093149541, 836.63445432369474, 837.27811964079285, 838.517162984224, 839.27393901176345, 839.59169546367809, 840.7122650917189, 841.12803042306803, 842.80059167855825, 843.78507636331869, 845.45806078107989, 845.53486715502083, 846.36366016458283, 847.5767809717355, 848.11012911282512, 849.06131776795519, 849.09206410731815, 849.79294604721099, 850.36407971963433, 851.19942659787523, 854.73570925702427, 855.60809227888319, 855.90143963449043, 857.17082709318663, 857.89237571406397, 860.15916530094751, 861.11359560905441, 861.88397902011604, 863.79119927875513, 864.38807109884976, 865.24748631023715, 865.427828582389, 867.0624923023887, 870.12119615985966, 871.2303998154166, 872.68948056850877, 873.9790730141749, 878.47717453678911, 880.21733440151695, 882.12356531667274, 882.38972901691784, 882.67258829494222, 883.52168030399002, 888.74991761494755, 888.7846274492199, 891.84176530555169, 892.34590623234476, 892.93148107214586, 894.62205082218532, 896.45335012069779, 896.51025461960171, 898.42664210393059, 899.36098028645279, 900.84617955747581, 901.07049997002662, 903.05478735876363, 903.35543926645903, 904.19492338711143, 904.58789871300939, 905.01213108057505, 907.3617286610131, 908.67367620671496, 909.28791687757848, 910.92544832708859, 911.031143648642, 913.13066987062189, 914.01334408927312, 914.20715910955505, 915.8535230352511, 916.57408194263962, 917.48255402696668, 922.36956953214019, 922.58518256650439, 922.63853544900564, 923.95179424507876, 924.06606935678519, 925.26140637813819, 926.30477731644885, 926.94648746341556, 929.16176166145613, 932.46769256863979, 933.04089627900998, 935.17767741380328, 936.59325734424647, 937.29396016770136, 939.06043738446203, 940.4478653571033, 940.47437898014198, 940.55035464914749, 941.7109121527086, 941.91764773497562, 942.4334683353552, 943.78301526658367, 944.70229627267463, 944.95256972054347, 947.1460910863243, 947.19800850109846, 948.95791282013897, 949.79601043648984, 950.57666453603736, 951.80135053427034, 951.91478173968005, 952.7663449708582, 952.81677425262694, 955.08958431673398, 956.39359353412829, 957.12461457476854, 957.86701123523494, 959.51254334360317, 960.22065389793738, 961.14946403946294, 962.83677136383108, 963.12474047947444, 963.73184989347965, 967.06168985059162, 968.59520328079361, 969.56791088504167, 969.67604211197147, 970.11189140168904, 970.45458955791014, 973.37819556007969, 975.38472339185125, 976.2686921541931, 976.38207702363343, 976.54374075771887, 977.60036276190363, 977.78852875727148, 980.1674045720232, 983.55325921925021, 989.42869638102752, 989.96039279161619, 990.88690646032921, 991.01707323540597, 994.07939595708126, 994.34539955169066, 994.93353367019995, 995.0042737506393, 995.43781646901834, 995.65402299094512, 996.82905676934456, 998.92794236487839, 999.25534274498648, 999.45647573818337, 1000.9088909756103]),array([28.317342996622429, 28.746709604146972, 30.304147761849997, 31.809088120169857, 31.940675335051889, 38.385173234375998, 41.321310173060347, 42.413830519201539, 44.037559805438832, 45.461126263075464, 46.193570093529722, 46.633755026181518, 47.481695749719044, 49.341802816191382, 49.856666568518904, 50.373539286407372, 51.422598586804185, 52.087286458476719, 53.592641802127488, 54.843950132627789, 55.093065128400902, 57.885169059773062, 59.688319455481064, 61.626059517695822, 64.070201801152123, 64.556511954799589, 67.235052968810692, 67.739855419868803, 69.417293914060778, 70.670966597456939, 72.87513358283914, 73.134109364410023, 73.67694763803199, 74.082797539421207, 74.137229366619351, 76.773371696600236, 79.255958081865842, 79.449843708801737, 79.502686149250209, 79.679285517775796, 82.114136957675072, 86.361420663717055, 87.069898706744567, 87.58151683817384, 89.119813466281684, 89.916872401989806, 91.00273068354393, 91.238344283038373, 91.362422173062072, 94.826592862455428, 95.259034233025133, 95.761916698066273, 96.210344555939173, 97.038194897951342, 97.901668847556394, 98.214228583529206, 100.15074732372324, 101.57765605213287, 101.98750195364786, 103.3875076950489, 104.45623697456148, 107.57922541618301, 107.61008236594228, 107.74347628947852, 109.96243677812333, 110.21924392040485, 110.37376131379921, 110.70161849831931, 111.093407902666, 111.83388577033422, 112.45876543866306, 112.87489158353375, 113.66013782531566, 114.88257581635985, 115.86534227419426, 116.12652012706664, 116.87447862520546, 119.06972974185348, 121.36670575142509, 123.32185130049166, 123.95831728208852, 126.51570893979597, 128.04974832883661, 128.58206661811323, 129.35629131928548, 130.10181920169171, 131.20653174576867, 131.43259076966282, 132.63717576303085, 135.65028256030871, 136.82093753795527, 137.22587846950034, 138.12493636289216, 140.45692877570045, 141.44264239732971, 141.89600541674102, 142.02647564566453, 143.27786711134274, 143.83428160051628, 144.10634828912652, 144.74156827246821, 146.87140378289777, 148.86479022387195, 150.8024096649138, 150.92997566309307, 152.00774216902354, 152.59142537611783, 152.97832948180039, 155.63881798083349, 155.79215635266792, 158.59798527749683, 159.88552797550543, 161.56822731945499, 161.83737312464683, 162.68204116722069, 163.20135284130146, 163.22808205163128, 163.35347284620207, 165.6039488044984, 165.84346734567168, 167.53527705989433, 167.64796516583397, 168.16230072828927, 169.01735800778914, 169.83817896813611, 170.57483253296485, 171.9668075588381, 172.9382341571966, 176.52179518020685, 178.19110892060354, 178.71308850984144, 178.95685874129816, 179.11206652243862, 182.57937675055669, 183.95574958509249, 184.05386343654379, 185.07120810699112, 186.29657122044785, 186.54670838498902, 189.67005211822985, 190.54721600273635, 193.76964018395009, 194.16280228394453, 195.3283131570586, 196.22719720133179, 197.12749799341222, 197.9391906909014, 199.93023156706226, 201.13511226680885, 201.47389459844217, 201.97520780062783, 202.77225312524445, 203.81926532021916, 207.47351615107314, 207.92132633997863, 208.2768275438502, 208.75492517060022, 209.74703544623154, 211.80763574443148, 212.80441932924342, 215.53869453872881, 215.89749285663106, 216.54331800936168, 217.74999465451029, 218.6183508469077, 221.97513798595054, 223.14363428377172, 223.73397401587042, 226.01253617100755, 226.051433038661, 226.21572625324907, 226.30735476428399, 227.24673142505699, 229.41972895498063, 230.0516059964971, 230.25793053700068, 231.01860810967375, 232.13918600238304, 234.01712702504727, 234.28514623406593, 234.76116903705753, 235.00884377706063, 235.05464224265157, 235.27816588380983, 235.48302519404132, 235.76119267770619, 236.39055197212699, 236.73120912540102, 238.31795224143403, 238.3508861277983, 240.00929175853321, 240.29519159675965, 241.12445993539703, 241.82077213962961, 242.00526813560273, 243.46739598225884, 244.51931053015116, 244.57987468263505, 246.78576315810426, 247.41699853747329, 247.56183244790179, 248.7791083360159, 251.97841297863269, 254.51598905516263, 254.61364912177623, 255.93006410559079, 256.07510544250061, 256.13396243725418, 256.83864170989852, 258.40281715352234, 260.5226163996237, 260.6471742949696, 260.82246569224787, 260.84851508212699, 260.92538809345098, 261.83772779219305, 264.57308851537397, 265.46473044193306, 266.60261642107776, 268.45647262822422, 269.08607402442664, 269.7516151166389, 270.35301704147088, 272.18009317174216, 272.82050935232496, 274.61351338314154, 274.6761275930271, 275.6787535486157, 276.70631118729324, 278.02400154771294, 278.24412012497163, 278.60357084012662, 279.22547101729009, 279.46332639837516, 281.94804241311181, 284.56646350373103, 286.54805915639969, 287.44715728693467, 287.58664684241933, 289.49566180782904, 291.2874530781034, 291.72277120466129, 293.55774868546268, 293.73035438517297, 294.00975606455137, 294.33353878242696, 295.17316590915323, 295.45764491256159, 295.83905687369463, 295.90071898589889, 296.21476893245978, 298.30281988673966, 299.60643256981757, 299.67273051946574, 300.82963388149074, 302.38995157357851, 304.20497331176398, 305.11627824531496, 305.37505144225628, 307.49236179054338, 309.25858437112981, 309.65206692442922, 311.67746989169888, 312.01116328636346, 312.41467542973083, 313.59276054078305, 315.10434380327996, 316.83150167010712, 316.89907701105113, 317.46798180513844, 319.05170123922335, 323.82062533810483, 324.10814949638961, 324.35987562822601, 324.7218647883517, 325.24792412843573, 325.88768429401063, 327.17271681606729, 327.86366219270627, 328.22200253516263, 329.6003468130582, 330.37093730593176, 330.59272181023749, 331.42459014647687, 331.70234914795719, 332.83147705693756, 333.9881909899317, 334.5142664658095, 336.2249547934959, 336.4419428000819, 340.04133201896383, 340.25054139801455, 341.43414679178568, 341.76461653134783, 343.37262873841428, 343.52836868540237, 344.08946174754897, 344.74258232005087, 345.64701904851194, 346.4382560271589, 347.59550665098811, 347.63061079955514, 347.75307485750653, 348.91078872186569, 349.66438853970266, 349.88696295985829, 350.20884914718488, 350.40166706446468, 352.17262138232275, 353.72033347845314, 353.88788528408963, 354.81901794168493, 355.19935609446838, 356.10570030686671, 358.07421556636945, 362.31285371510808, 362.77085490107231, 364.67237353467078, 367.86314654619093, 367.98886513232299, 370.93159356467402, 373.37921377728117, 375.5234992628786, 376.23674783888958, 376.88391252356234, 378.78003893910949, 380.4913006910632, 380.70072164683074, 381.20783111902148, 381.55743042849485, 382.9275480895717, 384.1625740056823, 384.93290285150624, 385.09720346002388, 385.16425265203901, 385.5156744923259, 385.8427031069188, 386.16840112497289, 386.88741128732272, 388.43387912469456, 388.70669489829777, 389.39887919100136, 390.60451339895627, 392.57754224390658, 396.57480071191173, 396.62102025174363, 399.05607027517749, 399.19648468103634, 399.22976784261135, 399.25238019058503, 399.47149139128624, 399.72314830947425, 404.08812403699136, 405.78594855305744, 405.98700668925659, 406.07012346147241, 406.82845482094069, 407.31515244317973, 407.40102145894116, 410.97494693839286, 412.34612851711796, 412.39166801636475, 413.24167007941179, 413.64934667942282, 413.72353008705687, 415.64276961674545, 415.91977984296989, 416.95871481898888, 417.00124900369116, 417.34141126810317, 417.36427910045848, 418.3008454485614, 418.56973850311232, 418.62746895662804, 420.57020683812357, 422.04076668573805, 422.39847190964662, 422.65346157408754, 424.35217765383021, 424.65967750319794, 425.00338914664923, 425.94211800644609, 426.58603793292724, 427.62134116712747, 427.77109073258225, 429.59768135708356, 429.64807036521626, 430.88424393227916, 431.76354765275426, 431.799963514902, 432.76079683017093, 434.04062450026385, 434.31045466183105, 440.59659924159155, 440.77094552170644, 440.91113391297171, 442.53411114913308, 443.16461611582832, 443.37391964270131, 443.39544718761897, 444.08333127378063, 444.15348629254049, 446.97838676117635, 447.49135924374991, 449.76735933803758, 450.41773368892319, 451.79111193770103, 452.925116194211, 454.66671619355247, 455.70550634227374, 457.99578206848895, 458.72537854729478, 459.49874818872809, 459.87800719568048, 461.75327107545502, 462.9306636057326, 466.79363172344745, 467.03627421862865, 469.25215118777481, 469.58752274898308, 469.66251182074723, 471.08788106090128, 471.3867454115998, 473.52316460740292, 473.76123068343753, 474.1707642916254, 475.66182837068794, 476.2609915509662, 477.16872893843316, 477.60868063650776, 478.48536883733937, 478.77356946566533, 479.82913673302716, 479.85407774526107, 481.3809024449543, 482.77446645810022, 483.06667372164446, 483.12612935179163, 483.16095479258649, 483.35844198954305, 484.14573483473993, 484.35126255670957, 485.26757036028363, 486.57842394245517, 486.99650824948463, 487.92342969909549, 489.56595414692043, 493.84036063638467, 494.59618202821292, 494.63405391382116, 494.92361235907509, 495.48426578992343, 496.24961657513126, 497.89940655999152, 498.48324631616947, 499.70821506388131, 499.99657019782779, 500.04537357417769, 504.34697266111294, 504.52579633099725, 505.73356832733316, 506.30581805981888, 507.44021412564967, 507.65499826284884, 508.32111443694225, 508.61495975808458, 509.53328238406118, 510.64416163722245, 510.73375513725853, 511.59629639377368, 511.62911758737215, 513.48264054772767, 514.59415839580458, 515.00886957330533, 516.20129658947303, 517.33401484796639, 518.70612476194049, 518.83603013319328, 519.99807060787884, 520.24661648213714, 523.27294711675677, 523.56292676885801, 523.7276204499949, 523.79631017565123, 525.05424985999821, 526.91733424252038, 526.97291043124676, 529.0256592726264, 529.0832030389123, 529.21005031448874, 530.1088941068258, 531.29187838045698, 532.74293416383648, 532.82423789806921, 534.52257331372903, 537.14752718525915, 537.20361918635024, 538.11238578375821, 538.51903669090859, 538.79637042729871, 539.63560933651149, 542.43321829699812, 544.63150596328023, 545.02614159060897, 545.60759954635444, 546.42012636672803, 547.00795099026504, 548.07795569931625, 548.33406991655374, 548.41152922125275, 548.98029680211948, 549.77714643229524, 550.54149890848873, 555.05939378470293, 555.42031106044192, 555.99412910122032, 556.05573761289429, 556.58638009869856, 557.58027602404752, 559.06501517797119, 559.68262561778761, 560.02434974874745, 560.54610162572885, 562.73760053995136, 564.25996237264451, 565.0596439521662, 566.42675840667198, 566.9936141297045, 567.57015693997926, 568.21075926979665, 568.39495030171986, 571.81887205321516, 575.12623615770644, 575.87567459490867, 576.13725464762638, 576.3130613095334, 577.39366799588288, 577.51264147006191, 577.89002886960941, 578.58303179820882, 582.72174835460032, 582.8160634890786, 583.90459543505892, 584.32450759670439, 584.96047789060697, 587.84007227377811, 588.20297804175095, 588.80871949358118, 589.05839173088384, 592.78306250257822, 593.48312436942786, 595.73044563585461, 598.38936856654323, 600.45649547859, 600.99805790370351, 601.49999198352873, 605.08654958031025, 607.68983640599913, 609.28012682098733, 609.44409254889706, 610.59029557479596, 611.21755292940782, 612.01811931685904, 612.19355178702074, 612.34718290024796, 615.71635082618229, 616.78873752229902, 620.4206210966629, 621.25269292223823, 621.82436659428095, 624.83033832839544, 627.46480775396913, 627.60404136874774, 628.51869933114335, 629.42420400492188, 634.19104658643607, 635.47713053934649, 637.01931644051626, 637.05509442333198, 637.7761893388473, 637.98548702990706, 639.26993327813557, 639.89027824795085, 639.92512112252984, 643.38919223529706, 643.7654201909686, 644.53728119734171, 645.09561150432637, 645.63323760668584, 646.54668207178202, 646.93820506136876, 648.99982079583128, 649.26045385778252, 650.09701706032683, 652.50867106256169, 655.05185466697128, 655.3590120181583, 656.65830648196822, 659.07693703777102, 661.28222380723844, 663.07967127642792, 663.94586519660947, 666.56275327235278, 667.05646086013348, 667.33848905476395, 670.79063565179729, 671.88193181996439, 672.59859964901693, 675.97801763816676, 676.70007022162417, 676.72023136232065, 676.74320355491147, 680.58537715401042, 681.39151731589675, 683.06693051585773, 683.72489153489641, 685.0644685364482, 685.89512362032281, 686.30590140775882, 686.70648005612964, 687.29925993804318, 687.326017160167, 687.77824217926479, 690.81286409741699, 690.86950811694226, 691.31460296517957, 692.60746231790949, 693.01004528516705, 694.18136431598111, 694.21783073279755, 694.96373425114359, 695.42304741347846, 698.32528231870299, 699.56065971037913, 700.79014673708548, 700.95641880853861, 701.55860939604531, 702.4806021861948, 703.80218582273369, 706.05031325816572, 707.15950363496847, 708.869870067845, 709.56284016572522, 710.10178814455264, 712.77612134502942, 713.12995088701189, 714.40895938469987, 715.04157252454684, 716.35346289672668, 716.65406090154841, 717.40213048886972, 718.49291033424083, 720.06439317712034, 721.65102133662526, 723.31926938870299, 724.01558995642131, 725.18145913069714, 726.25840760775395, 726.60704611013671, 728.05284663974214, 728.25365303533147, 728.2822369635453, 729.43873894885201, 730.06309177871776, 732.62170018977349, 733.90671102628858, 735.79745499147305, 737.11366726377764, 737.36378957730437, 742.89744404786461, 744.15169779962571, 744.19994720465718, 744.8468090797104, 747.36822673718495, 749.04186974586219, 750.73323846653739, 751.20520074372803, 751.95258300016712, 752.55287105535126, 753.12906211262077, 753.29312597256751, 757.22920324604058, 757.91902336737724, 758.51633248951453, 759.71155673253475, 760.55120924012522, 761.76342672952421, 761.98619750661965, 762.83291898545372, 764.23889819104329, 764.81053045979877, 765.70984824862194, 768.16119394937868, 768.65654277526278, 768.75110479923046, 772.78382820604622, 775.12966679742351, 775.70597850469846, 775.8439630915982, 778.75160085404218, 778.98503681626471, 779.74339827135805, 784.28375110875766, 786.04900424487596, 790.22525634472697, 791.20023375256608, 792.06055670042247, 792.59007338165395, 793.32914874575215, 795.16184032415072, 795.93720475104499, 796.66596502911875, 796.93665743924248, 797.57096074405706, 800.51246387518449, 801.69856134677332, 802.17659779745679, 802.70333618784753, 803.72093809368641, 804.02679037134021, 804.2066172830805, 806.42311383626225, 807.56923188024439, 809.0098133258283, 809.94842774647225, 810.9114539713471, 812.12387261906326, 812.91169973902549, 815.92740172331253, 818.88262498236065, 819.88107565809548, 821.3559660755617, 822.23251969810417, 826.02013868065512, 831.34779773209743, 831.38309992724794, 833.43520229153626, 835.26940667979557, 836.25587600204642, 836.45138291307103, 837.93325682856948, 838.51996028410326, 839.36836597174124, 841.33815074998881, 842.45597650048978, 843.66424328319977, 843.86679534073119, 845.99659757906124, 846.40326275564951, 850.00169550496173, 850.68538753896132, 851.32620697051834, 853.83710515689779, 854.6068873736458, 854.75958399126034, 858.68034783734299, 858.71412750765285, 860.28323321936477, 862.54677905221365, 864.3689336617922, 864.91359184251451, 865.98365941287477, 866.50637410702416, 867.95432615583218, 868.06614923256177, 868.75712275566298, 869.4575492974202, 870.17467892815444, 870.47485967234081, 872.88648771498606, 874.25658970557413, 874.70179858534198, 874.84590586505283, 876.32626138055502, 877.04472769754273, 877.19277672093835, 877.51353531166887, 879.79133691533855, 880.33376486250609, 882.28994583931319, 882.43597095011523, 885.90155515157483, 887.10830892483466, 888.63242562925018, 888.80402153480509, 890.21001088228138, 893.16519757245283, 893.54051414773892, 894.08892785940452, 894.29973216909627, 895.36051179849949, 898.58067395175999, 898.7303530268598, 900.0836252391091, 900.44254510587132, 900.82177637010727, 901.73249062807713, 901.9399480347347, 902.28758493074224, 903.86698259484615, 904.27701144722778, 904.82832198962956, 905.34239730659181, 905.40965258719507, 906.26877562928189, 906.94631956973979, 909.7581819410907, 910.07395618925636, 911.28197383089469, 911.42311137328556, 911.54642106715232, 912.96520072925193, 913.73039107785269, 914.4064441698614, 915.14319939051586, 916.85496420070797, 921.47461756294217, 922.87388436095159, 923.30162392265663, 923.34264216366853, 923.9070186589222, 924.49864961153276, 925.54792242757276, 925.83705071190241, 926.39873653427821, 928.55821018935592, 928.67039271969554, 929.93629927199663, 930.71518429120488, 931.4613422711235, 932.54987741942466, 933.74162287963122, 933.77715803749732, 934.16455049192837, 935.91727631810863, 936.00887558373427, 936.51375003907913, 937.59962388467534, 938.86089164247062, 938.90214943161266, 939.20457970082862, 940.01587855901266, 942.68233574732471, 943.49931436057693, 944.09868774047413, 944.93975615398506, 946.82979133270317, 947.08039496790389, 947.49610131659449, 948.22608455631962, 949.68398371829028, 949.96838758044964, 950.21669760182465, 955.07319214364429, 955.37022044473269, 956.2610245316647, 956.66269138300072, 957.19831573827639, 959.24760537265433, 959.35779492921267, 959.52370130051884, 960.25600838918342, 965.21274015180222, 966.24150884529706, 966.95454346577117, 968.20665270992981, 968.96476277754834, 970.07802162631037, 970.29330001616688, 971.23748619224216, 973.0468491495775, 973.2911426687034, 973.70814881159674, 975.71227891938747, 976.15528200780534, 976.69956004183905, 977.74515968582364, 978.2796440934369, 979.80735230658684, 983.58879389722995, 984.09593778385363, 984.44338694900375, 984.47797976117602, 985.13794753259242, 985.48562355800902, 986.39172511257482, 987.1310439227334, 987.5018488027398, 988.04731910068858, 988.24778382098236, 988.45638633803969, 988.56336832388422, 991.71225519220798, 993.43207188963072, 993.98438619090462, 994.45726335463416, 997.01206919491688, 997.5092586824386, 999.98250915568019, 1001.7054550164291]),array([99.439452336264324, 100.78575547290463, 101.20199147829193, 102.31616101217135, 102.59683142628008, 102.78634825652101, 103.51436371730263, 103.74464464916352, 103.90011518108099, 104.64021219556399, 104.76413491217204, 104.99584651787548, 105.84482514792595, 106.31785056221325, 108.96701242053986, 109.16857880119564, 110.68936940944234, 111.98975801891528, 112.78252319734199, 113.48854635222959, 113.75276172982232, 114.38954210543469, 115.75462628016622, 116.81224869220556, 117.72599854818792, 118.12661314247406, 118.68439240797645, 119.45917747501835, 122.24672430349675, 123.22066625331628, 125.22244731102083, 127.10638632562949, 127.20364973423665, 127.285376305092, 127.8848061260851, 129.43975115008169, 129.89186832157796, 130.02174367278991, 130.33447989134325, 132.53949396090539, 132.56839387580533, 132.82163441336311, 133.59795943009411, 134.70980707616064, 136.43888310476601, 136.948220439029, 138.42919307391264, 142.58946864837878, 143.49659074278517, 143.90720271945992, 145.36237179504846, 145.91466142718602, 145.97537303985752, 147.72416249771953, 148.30386506271137, 150.26613776274203, 152.1689604248418, 152.24105180172083, 152.93479547093841, 157.30790184343832, 160.15760109388668, 161.42225821029461, 161.83911965326755, 161.93788052336902, 162.99169215902859, 163.01328636896858, 164.75658371432164, 164.8479992311004, 166.63285765867917, 167.38807246852176, 167.80979942359056, 168.38173404299607, 168.41116256439071, 169.56634753207109, 170.04243277251331, 170.26092688732106, 173.88554592594809, 173.94472590607467, 174.70318846094517, 176.30120255476621, 176.63124646294199, 177.04313080128699, 179.85831767054873, 180.59256638314287, 183.15722505238551, 183.81130521104339, 184.66977142172996, 185.54075864904544, 185.91173758038724, 186.05823985951417, 187.67672031127375, 192.21444233552469, 193.50068898463593, 194.20630891051729, 195.36009389318198, 195.4478109803083, 196.25400744574281, 197.80414731057169, 199.45403038308606, 201.49382482333962, 203.85528321609237, 204.3586628249592, 205.50158344399355, 206.88182640401067, 207.16944185925513, 207.66944062529095, 208.16402301988552, 208.28503472551361, 208.47251887592427, 209.24529996887165, 210.04967261056339, 210.15517226254798, 212.28891799971032, 214.27691123325127, 215.11107752012808, 215.40636787815743, 217.21319066497827, 217.92685063152501, 218.1489196361938, 220.02675798519499, 220.06775665703211, 220.89891128163893, 222.58393647003459, 224.0154347946501, 224.38949237051506, 225.37500039749335, 225.92420409963719, 227.98678047017435, 230.33612085023989, 231.47614621555874, 232.19575572798934, 233.77431716924892, 235.14114196173739, 235.21944986492537, 235.28445993672295, 235.34857660617993, 235.64854267668485, 237.66018436143847, 240.94257848739346, 241.01366163149902, 241.20839396771683, 241.94690675430155, 242.74437372239066, 244.86705354392919, 244.98730614639683, 247.92002383331018, 248.45960313560181, 249.74113792502109, 249.93840365388147, 250.30616326236603, 251.00615333415158, 251.09473848900743, 252.05115763664858, 253.17820023129192, 253.45550998425043, 253.57565729957145, 254.09081748340373, 255.80542142551096, 256.56992001614174, 256.68382165633011, 257.27996444751454, 258.02988265776884, 258.96485265848946, 260.87986236744837, 262.31648654161887, 262.37999380465317, 263.01625833466437, 263.35260178590971, 263.55368849033619, 267.9729117300293, 268.37061311157152, 271.59793234214527, 271.66055343746717, 271.95608489902372, 272.04103362663119, 272.06398459278387, 272.36642210177604, 272.73134969676585, 275.07936781739522, 276.44912571756555, 277.05662217170357, 277.09746868092049, 277.27452720072984, 278.59673892745377, 278.73075729423346, 279.4221292335518, 280.47552496987601, 282.46574138084134, 282.62595126961946, 284.32522689883962, 284.76507894859907, 285.06686431728519, 285.56727149453008, 287.24835947197977, 289.50845476140529, 291.15878244926978, 294.30713487401874, 294.92369258809595, 295.45241993480528, 296.05551038534912, 296.470972793496, 297.7101601263908, 297.74916469277616, 300.48218070605731, 301.79799012774845, 302.9651899277336, 303.3984172946914, 305.57354762060231, 308.27027937834839, 308.73489461282378, 309.4207813339525, 311.7417955828364, 311.87827736249784, 312.16318406676589, 312.39619843392518, 312.71289996075797, 313.07047472246018, 315.57720593275837, 315.87337017747149, 318.738978156977, 318.77444297406129, 319.4258605471336, 320.40587179333653, 321.35194265118542, 321.6382227858814, 323.8637609754677, 324.40571670476021, 324.46769454767121, 325.14540686765315, 331.37028856450632, 331.63587231082909, 332.31601869943034, 333.3240408260574, 334.55127437703226, 334.97828104275038, 336.49864771950132, 337.16385284365685, 339.15934199342041, 339.76055489381076, 341.57661037203366, 341.79238734155183, 342.48121997189139, 344.14268450065435, 345.88482938235245, 346.17527866559675, 346.87247517793116, 347.55971154371116, 349.93344003704641, 351.90053882846064, 353.01541754161758, 353.06511747462298, 353.42030370183187, 353.67477517890188, 355.80422226122607, 357.18171224306968, 357.88429605358152, 358.5772903553808, 359.07231196404751, 360.46417350462838, 361.10600649448247, 361.81278882830696, 365.16358990656784, 367.42350217921631, 367.73145704867773, 367.90983387468174, 368.10305233217412, 369.78778239664013, 370.019500936751, 371.61507034514756, 372.75655446590457, 372.81761089680811, 373.40079942448955, 373.56289248302693, 374.58188752484142, 374.64167212529281, 374.97992671702292, 375.79383973337832, 376.11983093643329, 377.84702161911332, 380.23459465901402, 380.61446788138426, 381.09027856085169, 382.94661123018471, 383.55606230780467, 383.886289258891, 383.94080610002527, 384.93870692418483, 386.90858645922606, 388.41093420821181, 388.66856212775878, 391.5218450992881, 392.17762392355161, 392.73529062144735, 395.16843782301584, 396.33648292542404, 398.51841312644717, 398.95450493334346, 400.22446886559482, 400.72243716555641, 400.96827276953633, 402.62304921364239, 402.97242517742177, 403.06190588822284, 403.20649870658252, 405.04922963255012, 405.09535970487093, 405.40833314573064, 406.46661526968438, 406.59195892567215, 409.72300508824355, 410.20113374599663, 411.28788162327146, 413.51583093227754, 415.25243450502091, 416.19484664025902, 416.87877682546832, 416.99933571231895, 417.08984703220801, 418.1579966230135, 418.21119592141224, 420.37146305064016, 421.43938322510729, 421.62659039758847, 422.56188929133816, 422.73725140260456, 423.08195942539203, 423.18682295883218, 423.99764347639109, 425.36930479004542, 425.98137640303958, 427.05221522637328, 428.0416806986579, 430.47711987452436, 430.62433606866068, 430.95954813191167, 431.16140395124609, 431.39278804226291, 431.88221870307331, 431.9918447083337, 433.73107945890149, 434.76071924684663, 441.01348753946604, 444.18268339021711, 448.05079840365079, 448.92682192540008, 450.12303901908285, 451.13287026298201, 451.24101313523494, 451.8174603205731, 452.99853019358227, 454.88095280097917, 456.11010268190063, 456.64028356413797, 456.73730841120806, 456.84226006609828, 458.8456166638536, 459.91950431836096, 460.89470392334141, 461.71996883934975, 464.76789598501745, 465.11000457943402, 465.70599090169634, 467.42440350877814, 468.08060042149407, 471.59145760148505, 474.34230833984168, 475.55050338502639, 476.37765301567049, 476.97276546001649, 479.71492648702514, 480.53669142591377, 480.79847330192649, 482.27496772365191, 484.37086057430497, 485.98083497556769, 486.96018048479971, 488.15932574557104, 488.76621828008297, 489.50124632023204, 490.90085627377687, 491.16532804282645, 491.76268301352263, 492.3349832016076, 494.28829760170657, 494.85313958420272, 495.99722692107474, 497.12372789941901, 497.95024733791962, 498.34872116821055, 499.23139651643811, 499.61497592698822, 499.87995362071291, 501.11742931364984, 501.20246888199512, 501.29085164709051, 503.31134802179486, 504.31176120963534, 504.46451266778905, 507.39615145612169, 507.89196714298174, 507.97466378280723, 509.09458602986439, 509.32971596183717, 509.60013063825045, 510.2831532855588, 513.56509460294603, 514.92812633286587, 515.84902671773602, 516.79006864541213, 516.9192311255772, 517.37254595151649, 517.95450960144876, 518.09359755367939, 519.26432431542059, 521.61656164463602, 521.7114186955763, 522.52886600167483, 522.94648221347086, 523.70791073449823, 523.98814288954645, 526.68343298411469, 528.0192344237322, 529.34970180275968, 530.26113792467925, 530.47674325843911, 530.95970603190938, 531.39396544016131, 532.47499018365693, 534.1069293039476, 537.36200697347851, 537.60565514684242, 539.0196727553606, 540.22507781005811, 541.19701307393245, 542.0019480728422, 542.7805732085485, 543.20109755094586, 543.2682953046251, 543.39372968475129, 544.19521718342355, 544.70246727089875, 544.83989256353971, 545.46356974492278, 546.47591988410011, 546.93375401510161, 547.27999208373251, 548.40156841297824, 549.12955655813482, 554.10368804506481, 555.2336227809086, 555.33016500571625, 555.36155378668639, 555.7807064859212, 556.85192804071244, 560.5002470194413, 560.81100527868205, 561.12888286613349, 562.7926575213254, 563.77868365152915, 563.87207377564391, 567.02824802562293, 567.17701870444148, 568.54566229413081, 568.81610310666815, 569.54481793224511, 569.94290718952357, 571.97646607264073, 572.5302758779801, 574.61653064893039, 574.82882094415356, 576.53400451962784, 576.75153081000224, 577.25595357012708, 578.17419387604843, 578.87594339951841, 579.91555313703668, 582.77472454080453, 583.04379283248818, 583.59414479501629, 583.96503451459239, 583.99760541110152, 584.07616607845694, 584.71858869345454, 586.14076242609019, 586.75533066903847, 587.445428583855, 590.10555198292172, 591.43390209108975, 591.99565688625319, 592.93964313889023, 593.26418071514922, 595.29043765522852, 595.99555424963899, 596.14990094987797, 597.76347664837351, 598.16088253266651, 599.1342210094665, 599.97675598644855, 600.7522041641007, 601.10993614534402, 602.36815540649411, 604.09265821472309, 604.76200405554823, 604.91012902164971, 605.09067810839338, 605.61646995897456, 607.58281986070097, 610.40883825654464, 612.49587172404165, 613.10642929233472, 613.15379903409882, 613.34641889423244, 615.47146575823217, 616.68399849364471, 618.39764534830704, 619.53584978810511, 620.91066616306887, 622.55723844617796, 623.86722911507024, 625.19506597021928, 626.11613905913748, 626.14883594782634, 626.65402983254535, 627.95943668004907, 629.33412848669468, 630.09320271141985, 631.83609970502005, 631.90655324655256, 632.23306127045521, 635.04951766302338, 637.21415979182791, 637.5495827539828, 638.55032406310681, 638.57815288833569, 639.36549399820547, 639.77016377657833, 643.8254853812698, 646.28199425754099, 646.94696753282574, 647.01763923118915, 649.08830032145329, 650.1879568993113, 651.64357515850691, 652.27106912936949, 653.81207361989709, 653.90899873813612, 654.28300882664928, 657.14169245460278, 658.92486324547497, 660.27669124391355, 660.50003558752417, 661.38219227066509, 662.4016214176097, 663.33827221398667, 663.37623304828503, 663.92276893802523, 664.10793358660135, 665.17531537688888, 665.24527203789535, 665.41304286839556, 666.12109178891944, 667.00052143853543, 667.88012471150557, 668.86579670298488, 669.45627336097084, 674.88919615779014, 675.68383285522953, 676.8940391309269, 680.14570662399387, 681.39155045704274, 682.30028266746285, 682.46926109852768, 683.49703574842431, 684.09891596374007, 684.13899991446556, 684.21398827381552, 684.3064533499869, 684.43819355033156, 684.51812169261336, 686.12113634257753, 686.74553348971529, 688.64699280897969, 689.76606377913276, 690.11913669206831, 691.9645081628895, 693.2317922678252, 694.10432967352062, 694.22479830934924, 694.26198120378149, 694.52829270255233, 694.71138271310645, 694.94662669624086, 696.78775480430636, 698.59683320245165, 699.25816021098728, 699.7731907424527, 702.12575979291296, 702.82642107257561, 703.33881892826059, 703.84334839888152, 704.16524754294016, 704.79003132183391, 705.48055335958782, 705.52584017409686, 706.41556942610657, 708.06084579557012, 709.86170926201919, 711.46592693854973, 712.39784195609957, 712.97185513999932, 714.1836554575882, 716.16618672334221, 716.60028340050724, 717.81573769013846, 719.76176188869567, 720.03510417974951, 721.35366253209509, 721.44235268825514, 723.26088208074816, 724.59789213887484, 724.67806701183861, 725.66467006227913, 727.08276492986738, 729.26787445335651, 729.97701587915628, 730.04941369416861, 731.50127558755821, 732.05994628439373, 737.56231537140184, 738.13901385200143, 738.23184052885472, 738.27978186814516, 738.76663924982336, 739.16396659661496, 739.39323579787037, 739.66597832628975, 740.105852471395, 740.84344637530307, 743.90495065167249, 744.46282596549565, 744.55554448821727, 746.47878229517596, 747.05514288141524, 748.38074608796455, 751.70590431203595, 752.5757682564182, 752.88651603732228, 755.97882316422522, 757.2061336505808, 757.76265545082845, 758.1943003603642, 759.20082361517666, 759.27363573672937, 761.92001478411032, 761.98137517655755, 762.01216439484233, 763.55777838745371, 764.40140986059009, 764.43175556495999, 765.97065071783334, 766.03364487627209, 766.20373542151754, 766.71293541306068, 770.60195912828567, 772.28459057677344, 772.69611435100762, 775.69145469943726, 776.19834233804022, 777.0163639050154, 777.0745860290067, 778.0806856177843, 779.9309783910594, 780.72036088292691, 781.04347806186695, 781.21834966089921, 781.51402457161555, 781.82539333910063, 782.38489001892833, 783.25172141363828, 785.44810856615845, 786.47088300494693, 786.69367627772226, 787.44625464681405, 789.76963479996277, 792.63062480728684, 792.68560868955342, 793.11165952047793, 793.17538969506177, 794.53676978784756, 794.79551667932856, 795.07301099966151, 795.15960621749082, 795.52686859004621, 796.36184912626049, 797.12189123667179, 798.28298753655702, 799.08664719799958, 799.75870187451801, 802.52068213733151, 802.71834276416973, 803.34475542378857, 803.41231845738912, 803.63699496642687, 806.89852181214667, 807.04925327301396, 807.34551879416881, 807.43123098294211, 807.61084507838143, 810.0935402285694, 811.07014978664461, 811.49782442475532, 812.74753553711832, 812.79378219101034, 813.62049574973355, 813.92998153857502, 814.18447452767487, 814.3907321324549, 815.83072306919598, 815.87547499239338, 818.75357804891974, 819.38163392953845, 820.18047628549402, 820.2811359078986, 824.50239608714833, 827.60456894400659, 827.72449605174643, 828.81737060065211, 828.9377307932067, 829.09311438230054, 833.48405331917002, 834.34792659842913, 834.55144285996369, 836.39439122432657, 836.87081961334445, 836.94382482235631, 837.66688436587947, 838.58162435783765, 838.70937367169358, 839.95559829604861, 842.54198452796982, 843.96054166169495, 844.98895623898113, 845.53107696276925, 846.02140044520411, 846.44993364501636, 847.20702847708196, 847.59924405406889, 848.25605477677391, 848.4271485981908, 848.63797655532073, 850.22609492511447, 852.80949372102202, 856.78978880906436, 857.37458305867995, 857.40072849915737, 857.55446105588214, 858.27106278542101, 859.49191050542299, 859.95531491547899, 860.62991151774668, 860.99802037904408, 863.47584512072217, 864.00514242865904, 865.86125890837991, 866.74631207126822, 866.89588610383828, 868.51770043660326, 868.66402105493194, 869.28981600853342, 869.80561987084866, 870.60862905596457, 870.81170795477249, 871.9321556263335, 873.34587923720869, 876.11379283115298, 876.56114077629002, 876.99578711079891, 877.14978361743192, 877.40860522679827, 877.897704461849, 877.94767710055828, 879.0490487401953, 880.21460278257507, 880.35273053250046, 882.23348797830363, 882.8655060089535, 883.10617951052041, 883.2371575501079, 883.8815216562059, 884.59473130479989, 885.01055653106414, 885.97359026170443, 886.91156320510288, 887.32720027699543, 889.44534706069328, 890.97736967006495, 892.94304739667598, 893.60077160947162, 893.83767922495736, 894.34363297821346, 894.52656470711531, 896.35015705312742, 896.68490036494302, 896.79985533227136, 899.9256262941077, 902.34453274724206, 903.79893575738777, 905.45941108580075, 905.70832181519552, 906.52216127260681, 906.82909458113159, 909.44656121733044, 911.98808283224923, 914.91211528988072, 915.89014502468603, 918.18503943392454, 920.37564564636409, 922.04169235933432, 923.83292846296388, 924.54853267924057, 924.75907007340356, 925.04361534670284, 925.26327874249148, 926.19997061696199, 926.41491082961056, 926.48700678094553, 926.84030942666107, 926.93597137621339, 928.42430012413217, 928.5228451407803, 928.62031815641922, 930.48337993221935, 930.73480258703546, 930.75855491976426, 931.56851371612765, 932.64287321983136, 932.84863658685151, 933.20747907192333, 933.56354931104408, 933.79556139662236, 934.20352167560964, 937.39806252043309, 940.06550904566336, 941.53338109899926, 943.67889830130684, 943.87063749849256, 944.16368934587149, 945.36129244820813, 945.86440920712266, 948.38763549115174, 951.00866296338859, 952.78493850723601, 953.61576666653627, 954.48046332079332, 955.25418811520342, 955.96128121825166, 956.97155360182603, 960.793111334576, 962.0660627180373, 962.21238801870447, 963.13719409262387, 963.35331869894355, 964.56317995789504, 965.02151674392803, 965.76536070912812, 968.06550523848523, 968.55108338883213, 969.72564848294007, 969.95750447559146, 970.64840320711528, 972.18784795344811, 972.53063193236119, 972.62026543662682, 973.06150522796054, 974.65112986718316, 975.78888535916121, 976.42787366034383, 978.20733442849121, 978.86569318397869, 981.75905616186378, 984.22314547132942, 984.27005955808158, 984.94341189892043, 985.36840524381148, 985.47144973877289, 985.9090274411011, 989.37619704281281, 989.68116524893537, 990.34769357848086, 990.49880102317923, 990.57724788021312, 991.2596370219577, 991.60827894677811, 992.5254318261866, 992.90450488126817, 993.12417807541215, 993.23660421478542, 993.27932482526262, 995.1488846696725, 995.90264734962989, 995.94543579723097, 996.00098571034641, 999.69938708932841, 1000.4739950959703]),array([44.304167329408784, 50.583468816454513, 51.248396177114991, 52.370462663767924, 53.254341956741087, 53.410722853789338, 53.439687963468074, 53.505641188809832, 53.690594755625519, 54.376056433082539, 55.011569926281723, 57.037089590303779, 59.181620790970136, 60.064417952117026, 60.145698028560254, 61.204322523571236, 63.585534860656068, 64.88693222551403, 65.769258264444971, 66.304530801514687, 67.429970279975819, 67.478882070777829, 69.431965928371014, 71.792876070314222, 73.545364777942268, 73.715175658432813, 73.777705972435882, 78.359680704337109, 78.760483503692001, 79.105401637300076, 80.165535606646259, 80.420029173711342, 80.603197212622078, 82.127998611546758, 83.238893276006081, 85.158984005785001, 86.040117059229203, 86.976368901819541, 87.184439680911268, 87.585176224426377, 88.304708139331737, 88.988081073678089, 89.244033160363628, 89.543640209702545, 90.208769053628217, 90.8110107299064, 91.881365033036303, 95.683539485310448, 96.882983819734918, 98.086013440596986, 104.01902774378023, 104.22145356099874, 104.63755855198076, 106.16638941007008, 107.18710663409112, 107.30678694978785, 108.09169070425234, 111.34912821148072, 116.44392359447758, 117.38570771185326, 117.99473074670018, 118.53691322125523, 118.83880552145462, 120.44840471207033, 120.7940324884069, 121.82919014952184, 123.24501391083359, 123.49415534116402, 123.59208821436975, 124.56997741547588, 125.71197033328914, 126.00152214383665, 126.36484856184231, 127.12020954655, 127.56062066236377, 128.66410721358773, 128.69367120268541, 128.71594509663828, 128.80445352349665, 129.21577356966122, 131.54304666693201, 137.07419515831265, 137.5555338295388, 138.04985136759569, 138.20497546581313, 139.21406238169283, 142.5337524427178, 142.96504245344428, 143.76224866281572, 146.70438268803406, 147.5293100549531, 147.60515104460015, 149.70211792715315, 150.74745784224038, 151.83618109909668, 153.22701340864518, 153.29239298866673, 153.59193671737654, 155.69935557019491, 157.72358225609054, 158.25894147393771, 159.92628264258138, 161.30589891623262, 162.82291132307816, 163.95029546000254, 164.54863911959282, 164.97987915720975, 165.35524412100338, 168.20918082219072, 168.94885746920386, 169.69828319876211, 171.7723689550798, 171.99396887308092, 172.17485312580021, 172.22031117153776, 172.26810078858782, 173.33859762899041, 175.62076560005985, 177.73486333767735, 178.79830364139085, 180.04799598827537, 180.82541014900153, 181.35028755422397, 182.31352312767774, 185.26986833899454, 187.07210091282479, 188.8829489947164, 188.91896072034675, 189.00568740205949, 189.48839074571512, 190.61429916206629, 191.28154588044666, 191.90940553193104, 192.26756705775512, 194.74173774448784, 195.9135198369066, 196.10125421887079, 197.57076856463956, 198.63683158411311, 199.69675133600842, 200.93975573342922, 201.0493976393191, 201.18893714514039, 204.59682043952773, 204.90658035165245, 205.21676553980984, 205.25844655299534, 205.71823645194056, 207.41894522724161, 208.23351176851182, 209.5936557044709, 209.66210519346379, 209.88286324135916, 211.54788571440633, 212.29935003698006, 213.12372934836606, 213.19515456531192, 213.41407644172926, 213.59074172051012, 214.12582983509958, 214.38304911640896, 214.54237619629552, 215.14073873375008, 216.06300921301661, 216.37055650067327, 219.70188382305267, 223.5044738037227, 224.75398347075912, 225.7009046931496, 228.14851909402054, 228.29062388088929, 228.86250560444225, 229.0149266229227, 229.75943208564226, 229.925088888678, 232.29464224040086, 233.26121835226215, 233.67526039330093, 234.13109452466924, 235.79852308345454, 236.91678735985337, 237.20659717149806, 238.99562820369383, 239.72051196056339, 240.09088976541636, 240.87612922623762, 241.89599120342768, 243.05090579107278, 243.16807329257898, 245.0708027237477, 247.46720156004466, 248.63067173504771, 248.93925008100149, 250.92389890103661, 251.38909150846109, 251.45086936288388, 252.32501969929547, 253.56882063499177, 254.09369652016605, 255.714919905953, 256.87330521760748, 256.91396820086379, 258.41934970097998, 258.62324582453135, 258.83476899151964, 258.93126592286217, 260.32885125892022, 261.41914297216232, 261.53173309919129, 262.0006657183352, 262.97085545318765, 263.32145530764677, 264.05740089282756, 266.38231650923893, 266.71690422744365, 269.48739871849671, 271.85124059393786, 273.91917307449626, 275.89059069327095, 277.91087724696899, 277.99184795164791, 278.98650139729773, 280.98267544942252, 281.17654938311432, 281.39176693825272, 284.44136345374272, 285.50780527923115, 285.52947107982766, 285.74058715165654, 286.40989569741396, 286.54083576237366, 287.13046539590744, 287.78982627076618, 289.66161645410597, 290.28931750486964, 292.05927304953815, 294.98182111702306, 296.43064558819879, 296.81023167237782, 297.13838304554287, 297.9710602570168, 299.09980294928846, 299.20787643762617, 300.48303494277445, 301.27406989798521, 302.3614339417594, 303.08556981985527, 303.31843715580385, 304.44178772814138, 304.63188732108796, 305.78790271296737, 306.44992347752685, 306.52424313801203, 308.82038248195602, 310.62475383990005, 312.03698564998444, 312.49265762625953, 312.71297461146577, 313.39985609463491, 314.83278568250205, 314.96791587985507, 315.33864870419865, 315.46684215403519, 316.35043929093723, 318.87248737437869, 320.00974322632607, 320.7902877921685, 322.12366414436087, 323.59930839728833, 324.17454523750212, 324.30170017846325, 327.94679084480589, 330.29218971807927, 331.74672254293688, 333.89102739290831, 337.33744948409202, 338.1491319500596, 339.48978274970023, 343.09066766294313, 343.34114511906859, 343.50101940074006, 344.45370490218346, 347.11425967401516, 347.50544503827007, 348.5558951318402, 348.83969475863375, 348.90342188315287, 348.96194567447191, 349.04082362881763, 352.32271537455176, 355.30972830934945, 355.97025380507864, 356.88519627644325, 357.46068879544561, 358.10302365293347, 358.65169294856207, 360.28425662030787, 360.57676702722381, 360.6426967957255, 362.71087880869391, 365.33283368047034, 366.90164851922844, 368.57748580053868, 368.71178732659223, 371.80147881139459, 372.81642496144627, 372.93928918418243, 373.47203519220307, 374.84318191977627, 375.55938760264439, 375.67933028028153, 376.47392925503607, 376.80945203087919, 377.02054252265549, 377.70056133548633, 378.58860636808544, 379.11662683854706, 379.30615870413044, 379.59520167161457, 382.1767438859564, 382.42391205240051, 382.6258294857617, 383.69159313850588, 384.24775774312877, 384.48549880620641, 384.59072937385992, 384.7396455838886, 384.9812681151879, 387.56232118851739, 387.77463166493163, 387.8555955202628, 389.46596878384213, 389.5304784475619, 390.03906958360881, 393.53698340140483, 393.93691330452043, 396.16826239500722, 396.66752529266233, 397.68786998324151, 399.8890106265161, 401.17542914978048, 402.05224496232017, 402.38819348765145, 402.51386910280223, 402.75345329676782, 402.88825387617698, 403.51299221817919, 404.17207300732792, 405.55484801035669, 405.97179034786109, 407.4677906203317, 407.52867273466831, 408.15540099275302, 409.45717239123263, 409.55514864598621, 410.1844265556432, 413.61660564425159, 414.18227207721043, 414.46358288230022, 416.78197903619548, 417.76156455759622, 418.79589715173938, 421.16205047021242, 421.41314936824187, 421.74949004347076, 423.63025616158757, 424.3379189105828, 425.27500055561029, 429.25417142974425, 430.3788867266943, 433.4544968470687, 433.6274101878177, 436.59251234288195, 437.03783214844157, 438.42848338189526, 439.54105784585363, 442.64406827529871, 445.29509196763019, 445.53180658874487, 445.92863371759842, 448.25613946318651, 449.87003291606482, 452.65459751032813, 453.21710593450763, 457.07312640633251, 459.81091836402999, 460.86242127200308, 460.96641655200665, 462.15692726629953, 463.3277712831445, 463.94889213119899, 466.65927481412768, 469.6362031361349, 470.92868239751311, 471.55205287720082, 471.87499175122161, 473.37810691150997, 474.45333992333974, 474.94542468643516, 476.98356103511867, 477.03283470865659, 477.07337992195676, 477.504843548564, 478.21899503244481, 478.4063437400801, 478.72914454046946, 479.39485186953209, 479.77160004672697, 481.11595534015089, 481.35616485710693, 481.80956147650892, 485.19675652009147, 485.43779845999245, 485.60261083031895, 485.94570155380882, 486.7985040186195, 487.90374497494815, 488.26070034319883, 488.52291443413702, 489.78345386520027, 490.06555724646108, 492.23118262234078, 492.65809064864465, 493.51261845606911, 494.13558153021052, 495.94031702281467, 496.07579832452655, 496.82816565916659, 497.05614979862901, 497.15323480478941, 497.87283026059521, 499.7041859316725, 501.67702433907795, 502.72409386969332, 503.74039908872203, 505.08291325338604, 507.86996380630802, 508.20252146194571, 508.45403244144063, 508.94531791459718, 509.10755275019045, 509.62896937592757, 512.00493976072562, 512.67484703823618, 513.08183665176841, 513.35828558257606, 514.21295848310172, 514.38269962344123, 514.84311428640308, 517.83345511421578, 518.4381079688909, 519.32270309408591, 521.74103169937769, 521.83094591295833, 521.9220874354794, 523.35812426752511, 523.88349477543227, 524.61035150060411, 525.54165317902948, 525.6957412736773, 526.06165890414752, 528.55502702125023, 529.20704097407963, 531.48510373455554, 534.98403111673406, 535.0472942737814, 535.12520144944324, 535.46834684628595, 536.05401367446882, 536.14094484652969, 536.64740927317371, 542.28719029172601, 542.68402619181097, 542.79458120349227, 545.71807658574778, 545.81801299291249, 546.22769939874604, 546.44474331046456, 547.116610064886, 547.94093989024168, 548.86635498880059, 550.57025718349757, 550.91757963816838, 552.43699255113154, 553.05449027365046, 553.24423788723664, 553.45590112662524, 556.42979146055268, 557.7978784297286, 557.92446623801334, 558.76877324824989, 559.48601267432537, 560.52239621514354, 563.76724769981422, 564.41487920553357, 566.35003803939912, 567.45320320040128, 569.68341297606389, 571.75224711895601, 571.91219903218303, 575.75201721715587, 577.73452008690549, 578.75217943302903, 579.21561827575158, 580.67396846276745, 581.79106338988606, 582.39648654628741, 582.47473865864936, 583.31328733537555, 584.24309805787141, 584.77929508400496, 585.25891639943586, 587.78207210316407, 588.71679471600271, 588.78550967662989, 588.95521885954338, 589.23291683201239, 589.35422986976414, 589.89886143499587, 591.64040406084337, 593.08324713194156, 593.8160359044582, 594.07584504202566, 595.43269353060759, 595.88004081984843, 598.70490806127634, 600.05682460359935, 600.24739410803602, 601.21429126238388, 601.29056547514153, 601.62486387482716, 601.70996961619369, 604.57598804884424, 604.83657347393864, 608.55650372020182, 609.5463450970451, 610.2038767627281, 611.05717077742042, 611.94855051094498, 612.01041557133351, 613.00052350745329, 614.72678562986744, 614.90732551129497, 615.68696093385518, 616.14317908201588, 617.54600437783336, 617.67502914355248, 618.9757293510072, 619.12267212867175, 623.01089958207569, 623.68468435657667, 625.43777229703926, 627.11938374583497, 629.2741857107444, 631.70356031647452, 634.36209932835663, 634.41125911535653, 634.4999488031043, 634.81830698831516, 636.88285450822696, 637.25074379844739, 637.5471131013237, 637.90713756806974, 638.31188828558868, 638.8673597641174, 639.05152430093631, 639.32525462876288, 639.97468795084421, 640.98345899005938, 642.69939969366339, 643.18378027322206, 643.6079551977175, 646.07220517214694, 647.20680255661068, 647.49992357360804, 648.46918115140352, 648.61272587087569, 651.26366039931486, 651.43831413746136, 653.62698610015332, 656.54949667173207, 657.86358918286737, 658.58122038667273, 658.6928881429759, 662.0184231514263, 662.59654529217153, 664.0769583669387, 664.48407370225073, 664.82512595754463, 667.84907623070001, 667.89366530029099, 669.48183454507512, 670.16806604569376, 671.69737668063362, 673.30686000482171, 673.96643669272294, 674.28581651762602, 675.0072092860446, 675.22232336714455, 675.43265707741466, 676.92351703034728, 679.61414385059959, 679.66109578404325, 679.72554641773411, 680.72320784453461, 681.82162350265617, 684.6459414202335, 684.79901608957107, 685.00849470160676, 685.59678882892194, 685.62797215333637, 686.38693627990335, 686.68788975528935, 688.17134627755922, 691.02734488106273, 691.14747253158305, 692.32812446616822, 697.87041301596525, 698.39469137650099, 698.62063104887386, 699.5234847304182, 699.58389764823551, 700.68190431385153, 702.07704073730599, 702.46402387740113, 702.63036599620762, 702.79590606107945, 705.03123655815011, 706.42787832333204, 706.70019528089335, 707.28205153648105, 708.14141774019674, 708.8532952013652, 709.54713694350619, 710.15240179921079, 711.65552364317489, 712.79801102770728, 713.50664840160334, 713.71575160449822, 713.81257195474245, 714.12851545632407, 715.38366796581101, 715.52867133297332, 717.68545255177401, 717.71169491403816, 717.7355757115331, 720.39655246041218, 721.45935219963656, 722.27474646064195, 722.63988654419325, 722.67778915327403, 723.663562074732, 727.43056915931049, 727.75361193979552, 728.44153301840061, 728.59988824233415, 728.82710097819631, 729.69714589472221, 732.36285648935302, 732.72292070221181, 733.62545943177236, 734.16480596090537, 734.18795373629075, 735.46714964930902, 735.64230847267265, 736.74827498661693, 738.08192381657102, 739.06524604717731, 739.29974888563527, 739.99437963570585, 741.24440539303237, 741.7127215472359, 743.6010566686324, 744.01560606854298, 745.46150942399674, 746.13126751074685, 746.37027304843514, 747.02039103805305, 747.22426407834882, 747.68350826654012, 747.93419032220254, 751.79116252547612, 753.40166596459005, 753.98891213244394, 754.15518456397626, 754.86654146575904, 755.36480627252729, 756.34742309017281, 758.89385363164797, 759.06008717205316, 759.150624176929, 759.97130509299291, 760.32274449735542, 761.75821165861396, 762.42493455604153, 763.34263915009797, 764.17899792436367, 765.25233562993446, 766.47291466440947, 767.03826809217196, 767.61473828238513, 768.80620480707148, 769.0687700050895, 770.93192154222186, 772.17498200448654, 774.29397817442327, 774.6435501267315, 774.70085487964764, 777.08610394097389, 777.65892768181038, 779.07794113498153, 783.20657687507662, 785.45668715688214, 787.13915016837745, 787.54471635023287, 787.77112711810332, 788.52984941420607, 789.09626861035383, 791.20953154163317, 791.39300905055268, 791.56586672556705, 791.79445293715855, 793.21696635259275, 793.78005158205804, 794.99125064312943, 795.65353727968272, 795.99435703544657, 796.27999596328607, 796.6406424017913, 796.91809714420879, 797.27651656788532, 797.32018797940191, 797.36130817548258, 797.50584431162883, 799.23687097512322, 799.92661670228983, 802.3137304599345, 805.23233129708308, 807.09115299262839, 809.65544104545211, 810.07616444812936, 810.37984398885726, 810.75804586721983, 811.4852457813173, 812.34473051301995, 812.7134844437295, 813.78874987348684, 814.58884235012613, 814.73130986386843, 815.59250927117148, 816.22792354077376, 822.44367441219413, 822.73997927682888, 824.32814681597461, 825.47411025312067, 825.89272396292131, 825.9445661482456, 828.67190964742122, 830.90576884007658, 831.22506495312791, 831.36666059236393, 832.79293979206125, 833.41319426463997, 833.79923197204482, 834.03282634282982, 835.1663147026826, 837.03273585311979, 838.3850467300731, 841.32019934903417, 841.68398776426955, 842.76233115947332, 842.96669322768412, 843.80637414860894, 845.69069811114502, 845.80905800966605, 845.91157645326712, 846.07356796382965, 846.47936890739061, 846.88976944058027, 847.52205453103375, 848.49705372596588, 849.98128479385241, 850.46428338951171, 851.06543742254883, 851.68238717774898, 851.70922207630611, 851.86574142162181, 853.43641904465096, 855.18632016068989, 855.5374137687329, 855.90770798540768, 857.06293444969538, 857.4762963361967, 859.2673573521696, 860.53545229757981, 861.20935902403528, 862.84117023502222, 864.24744916318286, 865.39607388236436, 869.06790277275263, 870.24025370644677, 871.25595756453527, 874.27068435861975, 882.13706603057096, 883.2086773212485, 885.08443780171751, 885.12667818216823, 885.38324807783135, 886.26417849642212, 889.39642982390342, 889.62592623140438, 890.23659984455196, 891.23885608616217, 891.29211079353888, 892.94820456277398, 893.05091866173461, 895.64453626613818, 895.79929918134235, 896.35632746117722, 897.18295543302452, 899.85996955405153, 901.0252994166367, 901.84110417509112, 903.88129801963521, 906.13973437478739, 909.61577572436829, 910.80107605884052, 912.24903535699821, 913.42056262787116, 913.77141025537765, 914.58257173535981, 916.47514291070024, 916.50814579756513, 917.55585122372031, 918.37358417393671, 919.71837587983316, 920.40110216785604, 920.77222519031454, 921.31318554815562, 922.46885231783472, 923.89246772887702, 924.51008680158429, 925.03180185057101, 925.56921563643584, 925.6338937328195, 926.75521275454503, 927.98868670571005, 929.2676010439219, 929.91391383285122, 930.4088548308755, 932.11205899887136, 934.13750380365923, 935.7348704947957, 936.04566511904829, 936.26946066855646, 938.20265508719262, 938.97269886818333, 939.40146224726595, 940.20494490366013, 941.8780432021515, 942.00433522667015, 948.6532838437173, 950.18131312239689, 953.06344528299383, 954.61286201078292, 955.24470228723635, 955.75685624441667, 956.58334809008511, 956.68695150155793, 957.16267060063433, 958.43954438258982, 963.24059002808428, 963.4630551846991, 966.64658977469321, 968.1624563458472, 970.98147598764365, 973.21937204188191, 973.85564709032167, 974.48485032147425, 974.5343979497012, 976.11937797291557, 976.27505453761864, 976.4504925334993, 978.42123317552284, 978.50548010198099, 980.92084760452019, 981.00682854568174, 981.51314808347547, 981.89550249307695, 982.64896886791371, 983.85331717397185, 984.37625937341966, 986.11444366998376, 986.56382104275781, 987.91263889472555, 989.26867217471715, 989.79455509719003, 990.06276551327846, 990.80716297868287, 994.22218688160399, 994.8477959589701, 995.70576167193167, 1000.4989288336749]),array([46.372727941867453, 49.93153027978051, 51.000665939058905, 52.596960144596125, 53.524450564543862, 55.21061738358511, 60.14618310505211, 60.582156457405503, 60.788499698795455, 62.610628515125121, 63.106249336616507, 63.193892429939609, 64.174310636361881, 65.940593767154155, 66.649634309160959, 67.129634987490462, 67.38980244212992, 68.507821240207321, 70.514467014981619, 70.808092844954018, 73.518291723374261, 75.265246626196856, 75.521957407113163, 78.55528484655963, 79.051788073385296, 79.435705671153684, 80.57458705132467, 83.729902624218894, 84.436530521803377, 84.558733158643861, 85.048819846898439, 85.127174146427123, 85.185895323809248, 85.870429250650162, 88.76282750422844, 89.006854619370287, 90.877519030979855, 90.940497243806149, 91.851095461251361, 93.801171177290897, 95.605363258553055, 96.428157026759166, 96.47114747946658, 96.543926389927833, 96.858374023374012, 99.267609539322763, 99.683325271861293, 100.11509854836581, 100.79634447338015, 100.95916686920856, 102.44722347406547, 103.1168758154821, 105.87046332340461, 107.02204249704839, 107.4345864494975, 108.12457837788108, 108.64798369646394, 110.73505393371524, 111.64793190936194, 111.97660620271847, 112.44250010479473, 112.47530584935897, 112.51568020876636, 112.93208387049781, 114.42083502208183, 115.24266861084179, 119.030453100816, 119.24406682878025, 120.10559907458578, 121.09761196665066, 121.54270084588539, 121.62622780488135, 122.04086766895283, 122.75641105341941, 124.96045235457485, 125.05276773147291, 126.18702163903343, 126.25703650105849, 126.63272439993312, 127.09453526077883, 127.35661566507264, 128.07542327624171, 128.20213608848979, 130.31280185688374, 130.59918480687136, 130.88087891408756, 131.20072506967986, 131.4308465081304, 131.78591428989165, 132.65324754491709, 133.70414144756506, 134.3283482003668, 134.45821741936354, 134.47835098969384, 134.88650845035971, 135.23108852744704, 139.03442514781028, 139.60883789690146, 140.28747243186569, 141.48706047077545, 142.79595950923755, 143.94246935132966, 144.59291836326389, 147.61570389475935, 148.07512958849725, 148.22153276086863, 149.84138483481865, 151.79709336883337, 152.98885594930746, 154.39327676729656, 157.71810132413407, 158.04861706100314, 162.69454902072468, 164.93303079829968, 166.35870808874571, 166.90764205290532, 167.55306316189447, 169.00169059443732, 170.16711141406901, 171.61392614945035, 172.71191845622278, 173.28152214537604, 173.8396017658182, 176.41293318536512, 176.44710492275928, 176.58280409363761, 177.40167080991964, 177.46670662079464, 177.6563583569264, 180.60493723924657, 182.73755142448613, 184.06650056278139, 184.62060539327004, 186.49552764616422, 187.38000329426202, 187.43176007205, 187.61939487695349, 188.62208414102477, 189.91459569449876, 191.60945816749668, 192.48719266318366, 192.86805379172011, 198.48643911778493, 198.8457971008701, 200.24505452482481, 200.81591797720344, 201.46074751967987, 201.65949375743261, 203.08730184977415, 204.04890577917379, 206.24393387596169, 206.38473374097646, 206.626732355614, 208.98801613757624, 209.15373829674601, 209.45535785111679, 210.28904305064495, 211.20051941142998, 211.89898683687332, 212.32748965441138, 212.59230493924088, 213.06281431841606, 214.38728354994674, 214.79190492359734, 215.23647064534214, 215.3354813368411, 217.04565774202055, 219.31758664815649, 221.00233158153725, 221.54132906464466, 223.57441898079375, 224.36968700675439, 224.65975324264798, 226.3717252183632, 226.58848035467338, 226.66954716084376, 227.59914627938269, 227.86499525286885, 229.2714758599227, 229.36912644559254, 230.95663077109197, 231.25200409808033, 231.40428759877145, 233.08364300287221, 233.28671748298041, 233.48351171448272, 234.16770257079551, 237.94506015806101, 238.5287391301917, 239.33715111381863, 239.68749912820056, 240.2019473041421, 241.16939831907757, 246.48544321429657, 248.15867152513579, 248.43315014289905, 248.78526107600959, 249.25413217178399, 254.29368368775886, 254.42086886112818, 254.48969789951428, 254.55505260462735, 255.84547962794147, 255.9047507327526, 256.25059166219251, 256.88266116095917, 257.06849334005733, 258.52804566031398, 259.24326936035737, 259.52211555395695, 259.98093907661564, 260.3734780258257, 261.06868896669494, 263.11965360032605, 265.06981774165075, 266.11380400376169, 266.49525217576422, 266.79399259549905, 267.33318681727803, 269.54648933298841, 270.41091856969177, 270.87547839171879, 271.45534988745385, 272.68178006647531, 272.91350075644573, 273.31609099124341, 273.590830565538, 274.55576741506161, 275.73992397359018, 276.06056265601126, 276.28913724384262, 277.1531150694438, 277.80586291930587, 278.15810291069755, 278.46194249873156, 278.51798303927177, 279.99522086367546, 281.91773208340476, 282.36500953510705, 285.52249746731468, 286.75713420864065, 287.8067895673467, 290.26300962187463, 294.51272991395041, 294.79354195169196, 297.77630731304129, 297.92058877884466, 298.52138961074007, 299.34488516518218, 299.9470631631612, 300.33396187398199, 300.38414846277436, 300.8891249156631, 301.28196366197926, 302.87505198839483, 303.98135745688029, 306.00172810760574, 307.18050719168804, 308.34049653342834, 310.45952307165123, 313.1823139396825, 313.3924367598874, 313.59959163427919, 314.52942377388666, 315.55114988949123, 316.7508300489099, 316.9494050474039, 319.37795117640457, 319.83844124418874, 321.91835124712134, 322.23756083737027, 322.61790716137813, 323.63337989770065, 323.75025028512522, 324.63022510338237, 325.20507794839438, 325.25293827273026, 325.4899369751127, 326.1649598346595, 326.62319099520778, 330.56848090755295, 330.8348761263822, 331.41780635143726, 332.40956872264394, 332.68111359457589, 334.84901148133594, 335.66660059372896, 337.1891237049407, 340.26121775740324, 344.17230608579013, 345.41231195616399, 345.47773595651347, 345.79887458316324, 346.40672491993877, 346.57572764561797, 350.8574828191102, 350.98528072560003, 351.46763866079988, 351.92472250659392, 354.12603402280359, 354.86308917117645, 356.37004421602961, 358.10623712121122, 358.30374587520674, 359.49188928891834, 361.90950797065955, 363.31158679573736, 365.05068036082054, 365.22303087316357, 365.91085630059956, 367.76428833816823, 368.57769613278333, 369.71959422872874, 370.85682213908484, 373.36582439402957, 374.49998869794229, 374.55806972333426, 375.96280678625828, 377.18144702521931, 377.62732265420675, 378.5516234887084, 378.76738065755336, 381.51685344268662, 381.85096313412384, 382.71295341074006, 382.79776082870757, 382.83234979621278, 386.09556800870251, 390.9322087966076, 392.77411913527442, 393.28733013484117, 394.6542616592676, 395.43001325998284, 395.47630551114264, 395.91216212028434, 396.8770646969449, 397.33774965567227, 399.05184382055813, 400.04694344488519, 400.26181765667241, 401.05989271531524, 401.34350659915805, 401.9726998453138, 402.12986552930852, 402.96716449897951, 403.13589635320358, 403.91136862688461, 406.63057621391732, 407.61873220264465, 408.31247967808747, 408.61598323687133, 408.96889745461203, 409.69963418390535, 410.01186171822354, 410.20328644089295, 410.99008831467313, 413.43895857883564, 414.4544835109744, 415.80187878318856, 417.46260523559999, 417.76885258089362, 418.11482764044973, 418.57918037653633, 419.12225770536435, 419.43297266403926, 420.50075119908456, 420.81871367723085, 422.1349752954381, 425.10251601767555, 426.48616225860656, 426.66524546942287, 427.64172566521165, 427.71742757581603, 430.10753423587124, 430.96179364621628, 432.59205342591827, 432.68977087969432, 433.60774539880487, 434.00255573292384, 434.35550642954848, 434.77992108303084, 434.99536529218824, 435.67400867698422, 436.04400716920554, 438.56804946536283, 438.82416448448623, 439.12552004484894, 439.81752961852487, 440.85252914829306, 442.68951485640156, 443.1650825956105, 443.76560978348544, 444.80168454771001, 444.89042387813538, 445.13084072040471, 446.37842903997074, 446.40212774400214, 448.40244026350013, 448.6545050914529, 449.40509975609319, 449.85627802872312, 450.16326172239582, 452.62355544550979, 452.70126635506335, 453.00369847785657, 453.8201674553552, 454.9592000406949, 455.13824089447763, 457.81783486534829, 458.02251806548202, 458.53170327505313, 458.95763872691219, 459.10476697216558, 461.83049170572934, 461.9939007015048, 463.03132785671608, 463.19476845238535, 466.26838897450165, 466.718253478581, 466.73932360967376, 469.61148088448311, 471.31422172724132, 471.53669517632244, 473.68484015111824, 476.00406422937181, 477.07519263134543, 477.17402867172916, 477.26752457781288, 477.37424011827778, 477.52675395384369, 479.56713585078319, 480.79764257280107, 481.38011191402461, 483.41896039314111, 483.94109341932312, 484.0900181165951, 485.21083810501199, 486.11438335732629, 487.1693088192647, 487.96242256394254, 488.7690052511951, 488.9419050096223, 489.23101731409884, 490.43885561178536, 490.75905736772944, 490.83794345016304, 490.96260115761999, 492.48279542831443, 492.79141745304133, 492.88840838787564, 492.94290533387925, 494.182967157566, 495.41439422110426, 495.66026242729362, 498.78098024364454, 499.42498900353098, 500.1269408009955, 501.92741127915821, 502.46079544554982, 503.74349988091274, 505.09847875062127, 505.59475033668895, 505.71029265367741, 506.63468879036503, 507.48351293416846, 508.41982038370173, 510.92798282500814, 510.96652215018855, 511.39626525372177, 511.81013629730802, 512.12260278228393, 514.05613046386043, 514.51728230786614, 515.15512395339215, 515.58950143421021, 516.06991899542584, 518.32526286796895, 519.00298901012786, 519.4937063950905, 519.89288444952888, 522.23791153320724, 522.60394864953355, 523.75772652068156, 525.14294896111994, 525.19055702058131, 525.71566636642399, 526.03727499316415, 527.86724446867277, 530.1956271300561, 530.91271548325983, 532.4799571096313, 532.91719438030236, 533.31047328435557, 534.92599792129397, 538.32902868977169, 538.42516199118313, 538.51336371961804, 541.83308513936379, 545.9622753853298, 547.11064244198769, 547.7307383670128, 550.22340988772089, 550.89554575798684, 553.07552160420573, 555.52529987081891, 556.26254899739729, 556.90600314252799, 559.68256797872436, 560.74730012718794, 563.1568106925107, 563.98059095748795, 566.06295522571065, 566.24178214890253, 567.12019736753291, 568.90014762416013, 569.92724037304447, 570.78304722367693, 571.10778811599334, 572.02082312699349, 574.63646589628172, 577.28545896903643, 578.37886755310956, 579.27375448312591, 579.34088164388072, 579.92146656467366, 580.50630088781497, 580.9142201174742, 580.95550911596581, 582.07568419897984, 582.38868381206453, 582.43084712668679, 584.7219428302684, 585.43064169262072, 585.95164282088444, 587.07613368552904, 590.34246430179417, 592.44844356930901, 593.15802981150819, 593.2634600653804, 596.00256815592729, 596.78983105596672, 597.53641581976092, 597.65934229093773, 597.75560235264925, 597.9019133984475, 598.69335846077126, 598.77138473121431, 600.11493248015734, 600.91920767972761, 601.05450880859019, 602.443772695397, 602.46432912802845, 603.75713041206939, 604.26671516781664, 607.15813738893962, 607.51414231181593, 609.46029579946912, 609.94688852810441, 610.01075973809861, 610.35282839102956, 610.54891865476372, 612.14874106961065, 614.92461960197227, 615.19054445684276, 615.55929967448753, 617.22986577811366, 617.69525187091222, 618.00204897489209, 621.43029745518152, 621.57017275457042, 621.66265833783257, 622.16669475874596, 624.95599325467549, 625.95533986675707, 630.36804520591807, 631.14519493145031, 632.5040127705031, 633.05020795955329, 634.20620034369256, 636.7340752285553, 637.134622684021, 641.13198444981265, 642.71504896505508, 643.37625010371028, 649.06869747812163, 649.10711128188427, 652.47222973946657, 652.82428031389964, 653.72372906915666, 654.3494603893572, 655.08939508769106, 656.03911960943844, 656.44866919633796, 659.34948620657997, 660.86890232109272, 661.38636714592019, 662.33968073112737, 662.61629529638412, 662.71847678581048, 662.89514257749579, 663.66290752960049, 664.94131047553446, 665.06784591161397, 665.61229123689986, 665.79723221441736, 667.0949865169024, 667.50369420593188, 668.8326490140123, 670.10679396240926, 670.73565659406881, 670.81405611061712, 671.22927850206565, 671.73067873259185, 672.41810180731432, 672.74789501948408, 674.01132700346727, 674.91511792074823, 675.26832042853266, 675.33989332376859, 675.51753115597955, 675.5523834117472, 676.02013428079385, 676.4827751269903, 676.99270065605481, 677.24527860633236, 677.26604943800203, 677.31531448063936, 677.3433806763685, 677.59398502916486, 677.89751180830297, 678.85202026405852, 680.54750164971483, 680.68236214556202, 681.28356985336882, 681.68404809287983, 681.78136606208352, 681.92207344371116, 681.94562622360002, 682.26513148745312, 682.8688801818995, 682.90208849850194, 683.31247805027454, 683.44431935740454, 683.63949533835898, 684.03969476409281, 684.93723731614921, 685.09454794804651, 685.45671126050411, 685.98651348617, 686.99028233607385, 687.54529424557245, 691.04599089498208, 691.41530807537458, 692.12650360080295, 692.24541210128336, 692.8778095797511, 693.36516006107786, 694.40392944215648, 694.83870355609611, 695.32535446025076, 698.71000918434538, 698.94503562555053, 699.46082700163799, 701.36070557296375, 705.48195242278928, 705.8494911368108, 707.26808654746219, 707.62185717255272, 707.96760411733987, 708.54827245623721, 709.01245566434875, 713.42744678692884, 713.78740415545599, 715.12681985421113, 715.6752912159626, 716.62007261555959, 717.51818939534633, 718.69227680962899, 719.57368536677018, 719.65660929950764, 720.64842340056634, 720.77981377995343, 723.6355594042027, 724.17114874934111, 725.77958260534797, 727.09638683389005, 727.88272562404904, 729.00404514311811, 729.22791312765992, 731.07111104657713, 732.80567928545872, 734.91734510177707, 736.28323134246284, 736.43484222300003, 736.62871391791111, 737.14066688876608, 741.00611310226213, 741.52335787441586, 742.2951786682944, 743.01044822279312, 744.00733594945632, 744.27881759854358, 744.32734528109972, 744.8254418185528, 746.01482229188639, 746.17552697515805, 746.58427226466608, 750.9125958993551, 752.7383491030713, 753.14387982525227, 753.30798396380339, 753.59628844755002, 753.99890934583186, 754.48617517334878, 754.73093078413149, 756.30196445135005, 759.69094619657085, 760.92829276710165, 761.81084671489725, 761.99834399586723, 762.41689736729029, 763.2936305891767, 764.18753696093142, 764.26652089862932, 764.34199210374288, 766.18473756418018, 767.19946598191564, 767.78212982479658, 768.83929147161791, 770.43817509885491, 772.09171400611717, 772.64812013892492, 772.89955335336492, 773.60876771018161, 773.73982387747242, 774.97410646862238, 775.62841686914226, 777.22509875183357, 777.79552031021979, 779.37950806329843, 779.89855522967423, 780.67468960070823, 781.44680520519501, 782.60165553818854, 783.01254069236177, 783.48911569913105, 784.33228079401022, 785.50203722718675, 786.0048791420578, 787.29627981492069, 788.44543578829791, 789.28685033930901, 790.19558146780275, 790.6040207528921, 790.77387436961067, 792.35606272776079, 792.81887797345348, 792.93307886465038, 795.5449871866424, 795.60718390718569, 796.04754880155815, 796.18712280411864, 798.19140385333594, 799.45907607941808, 799.56739219112148, 802.64571372643502, 803.97569057030228, 804.80055721234316, 808.73090644159777, 808.86825343179589, 809.04452676202152, 809.20216798182423, 809.73516292805834, 811.48315094650195, 812.12899560136316, 813.0811163448758, 814.99632136073058, 818.21683448973909, 818.31894498033091, 819.25572936876199, 819.61916910173488, 819.97191019301704, 822.76650978215162, 823.33832591619716, 823.72442178118308, 825.46407942415681, 825.56775840024204, 825.98035237138652, 828.49832723645977, 829.68522395508637, 831.00483506631269, 831.34266168258273, 832.3024937637706, 832.71618308709014, 834.53342751483592, 834.77616694675817, 835.1830239383828, 835.22420438764755, 835.9796778029322, 837.09152408119712, 837.7703692228464, 838.32106697159725, 843.42155653017585, 844.10570354709057, 845.19683503273336, 845.52466335747306, 846.15107367099745, 848.01392900201165, 849.74448215252824, 850.76430062748898, 850.95914587438608, 851.75900561342428, 851.93825134345877, 852.04843080120281, 853.48595303294007, 854.07823027487643, 854.81276438709472, 855.20371445906585, 855.63702337156985, 857.63622798167523, 860.05074428060084, 860.32182757252053, 860.58741577043156, 861.14100975512088, 864.7414960172249, 865.62338225282906, 866.20876161251715, 866.59574495517552, 867.47424400191255, 868.17529783884163, 868.22543239460288, 868.37487469033113, 871.4354091735355, 871.72169027065365, 872.67553493205435, 873.56110937685844, 874.73197381514126, 874.99652519030667, 877.4075209507007, 877.8733443527293, 878.25782271143191, 878.44567622635077, 880.39319672364502, 880.86162262052892, 884.29185674832752, 884.33659232392267, 884.99358883777484, 888.08524637088954, 888.21276159913953, 888.73294872906445, 889.66073356849631, 889.82881588049963, 890.25161996569273, 891.22728506155966, 891.40348329487438, 891.50099111365569, 892.77120604559707, 893.17609598306501, 894.46809781867705, 894.73238529463356, 895.76507243857566, 897.4577530963395, 898.15437696529091, 900.82510306814936, 901.10047563441367, 901.56064484195883, 901.58151249055197, 903.09116005221688, 903.7690764146198, 905.17992401537936, 906.07026999193045, 908.39107369960936, 909.24810363776885, 910.19984313477141, 910.67156323133941, 913.4135841093223, 913.76286954574255, 916.13363967773955, 917.12383343312763, 917.92455044492567, 917.99037408802769, 918.86747571709782, 921.25007973601555, 921.74197343093272, 926.45297751806299, 927.49231760339387, 927.94724720643899, 928.27505056629445, 929.05001517453104, 930.00686735134684, 932.00963680064206, 932.40309226046986, 932.67205606171694, 933.35662271551359, 933.7234860574107, 933.9113622243209, 934.33394789790952, 936.65065631798689, 936.87258021973662, 938.71953629363918, 939.34790246731495, 943.01286473145672, 943.31866831152513, 945.05298830139088, 945.7331756373485, 947.92987094069338, 949.3105323802605, 949.81619263479172, 952.03732415637228, 952.74905773858552, 952.82540092272916, 953.29814952710433, 956.72322731684585, 956.7754723126335, 958.20395392566888, 958.45069228316777, 958.58502000188525, 958.83694844335116, 958.9139950017219, 959.27941285362374, 959.39265053867291, 959.86121205525296, 962.55698852915305, 963.16139669923575, 965.84027507192855, 966.29288875910004, 967.63921019641384, 968.95386444314681, 969.62924631232158, 970.31319836400075, 970.61876866986609, 971.2561265856308, 972.49505005282219, 973.25380018350916, 973.81454826900676, 974.25363965222584, 977.18063505553039, 978.057291452703, 978.41421919566369, 978.64813972178126, 978.67793281350453, 979.25553145704191, 980.05989377943354, 980.84082069510976, 980.97279015737263, 982.00548886881643, 982.04441618462158, 982.78975941260148, 982.93202526203277, 983.27849585035835, 984.53181035027387, 986.82888231560071, 986.97176515609578, 987.8366802887623, 988.00657398166027, 988.07908696425682, 988.51056628496201, 991.37313582441755, 991.81419366852845, 992.49307322480081, 995.00370296805795, 995.1406574747657, 996.7490811688765, 997.46350099118922, 997.60626996990834, 997.73172509175731, 999.67065907067695, 1001.2853000643701]),array([61.953186283471993, 62.340756270883304, 62.395946795744315, 66.699894876142494, 67.560689551813667, 67.841468721721199, 68.299563891411921, 69.513058211334894, 70.785892943933064, 72.522449377333359, 72.666507679932522, 72.768660854889049, 73.149449648448623, 75.187400919117465, 75.792501802716842, 76.205762437161553, 76.372579626776712, 76.557884298405952, 77.765236649333872, 78.832760898096666, 80.31960504889156, 80.427952614298505, 83.490370979851619, 83.908783039846398, 84.917124839764583, 85.321271292876119, 85.454813379340862, 86.491774354815746, 88.089216818286914, 88.138863041393137, 88.623830347506726, 90.531372519771452, 91.036193435499442, 92.296089959104066, 92.617773512017607, 93.091742386754575, 94.097174975771466, 94.512326121880648, 96.425342731126236, 96.72605722478761, 96.818172486690329, 98.335865831460808, 98.569133722122103, 98.819770338426991, 99.051091517234681, 101.44752400379225, 101.52618559617807, 102.85764484062425, 103.88311429171556, 104.07499520617465, 105.44263989487314, 105.79001015030198, 106.79454206482755, 107.06838686328948, 107.13772949579143, 108.35864759854877, 109.44294266315499, 109.73870818250761, 110.54463946813668, 110.69476867519423, 111.18283019922437, 111.30162251417971, 111.81978026273474, 112.65180565193572, 114.27567212238526, 114.76910900735804, 115.1514129470369, 116.10460578239861, 116.93607283947583, 117.23924074082376, 121.41531283934701, 122.92106438706739, 123.22980724437446, 123.39935504314295, 124.20896600222203, 124.32765947261211, 126.79111112278963, 128.22019453524987, 130.00380597623081, 130.6864964577, 130.82447279961696, 131.9321208247357, 132.96956480401337, 133.67686178596733, 135.90998839257836, 137.35286319849058, 138.38323657550072, 139.00694538087711, 140.41339711322135, 143.54744395712018, 144.11825352964348, 144.81350953953049, 144.96942457203022, 145.84972856369379, 146.81996957537388, 149.49118348970762, 150.73111305729753, 151.69388999482274, 151.74543449550512, 152.70461279095511, 153.2843088826549, 154.13265430564064, 154.35878006674139, 155.1479052643505, 155.41026140161088, 155.77485175074759, 155.98889394517744, 156.6944475545906, 156.72306632024308, 157.01505008158551, 157.40100248812774, 158.94706784901564, 159.85343069641982, 160.35808248071396, 160.82731424919092, 160.90149923691129, 161.47977929264147, 162.01743089308073, 162.45050579129727, 162.83396319422977, 163.19745126370654, 163.91766222691376, 166.28212926892658, 167.30216441921658, 168.35689564002141, 169.16410007802315, 170.64445335650061, 171.91852804927109, 174.59909356145039, 175.32877853556434, 177.76013478455818, 177.82407092851318, 177.97067985150568, 180.34669830476784, 181.41982000864843, 183.14418660321795, 183.92594219033219, 185.78544029266376, 186.49477258654326, 187.84122751119475, 187.86480407253188, 188.12995192669808, 188.73866462772148, 189.0329647539246, 190.9015759498221, 191.04856295671107, 192.48636489515778, 193.21161035503889, 193.55406808223779, 193.58114639862092, 193.88890175390046, 198.15477023744637, 198.22949284130954, 199.75035937604858, 200.31187654715194, 201.03442319363961, 201.90707068846362, 202.66125437106061, 202.89077051828656, 203.85460089327501, 204.75710376903689, 206.62481222284376, 208.35837194139128, 209.03249947711382, 209.21250847578426, 209.37801319757372, 209.98353355111101, 210.49700768271038, 212.28917359445677, 214.36486411125307, 214.63393155006816, 214.69430918405843, 215.66861278368077, 216.11267566809178, 216.76776038129213, 220.21866834242041, 220.66167098338289, 221.36164928009967, 224.8943688216734, 225.40664890581272, 226.03619706461026, 226.15752880710329, 226.56848534919462, 228.85101744127709, 229.44960116046761, 229.56609982920094, 232.23563477494721, 235.82126724421437, 236.39380962335309, 236.88590929190593, 238.74105291567059, 240.15911071666062, 240.39824831755084, 240.5934386181147, 240.75166193733543, 241.42373990523384, 241.47702723212279, 242.62583070537573, 242.73763405636615, 243.2270859781901, 243.32824407720625, 245.64683103312527, 246.33882021413612, 246.49613914886402, 248.0487810880652, 248.34440416929974, 249.49650412523445, 250.40584686898745, 251.10853463691677, 251.73955862964323, 257.65017484487015, 258.18794139972778, 260.43123809145277, 260.57614564222746, 260.80393736418512, 262.59775540050606, 262.85305837124167, 263.29893448899855, 264.76815529187172, 265.06175482372265, 265.65893973909499, 270.92427557970598, 270.94516510323484, 271.18259671241969, 271.33949103575918, 272.71137978827829, 273.02217464247656, 274.01368837258332, 274.56975454076138, 275.6763069557548, 278.1225884183292, 278.21295830816905, 280.67609193142664, 280.88990788626114, 281.78293850809081, 282.84716017893282, 283.29701950097848, 283.74828254208421, 285.21720255252956, 285.44120643368427, 285.46686979836824, 287.70717724549928, 288.40687597787934, 289.22730818979676, 291.75335858413689, 293.2278912262949, 294.13015085442015, 294.62591293969842, 295.71616886962238, 296.36979477377486, 296.75083528805948, 299.01066134796531, 299.26272942464129, 299.33423382069844, 300.72114733927992, 301.68695616579839, 303.12571662366122, 304.67020071793678, 305.07808213214207, 305.13789871549159, 305.23113198808358, 309.52717836172508, 309.91359335386198, 310.37503585210567, 310.74905780548016, 310.94407865924876, 314.76273021416802, 316.83248003325173, 319.03968267172979, 320.69008530449668, 320.98950709345195, 321.05885219400068, 321.08843602245594, 321.90550308377954, 322.19925851988012, 322.98388942735005, 323.14594274694986, 326.85546564505057, 327.5161024574233, 327.61663461730222, 328.43980680772347, 329.73209797673951, 330.0728983449041, 330.94712663875924, 331.82264727996471, 332.04541386869323, 332.50098130419502, 332.71886478133939, 332.95176516631824, 333.04660725801364, 334.15941306720646, 334.2994008836074, 336.50940353999943, 336.63226763431413, 338.49307413773528, 339.54448899577039, 340.20885501923931, 340.45596059538502, 342.28800683450271, 343.25823789196295, 343.74950852657111, 344.09240481401275, 344.85165658540086, 345.21707317100203, 349.18557468603007, 351.25508982072802, 354.01101274307337, 355.19682763914892, 355.3360721835345, 356.112528481396, 357.87304900030654, 358.2542423566959, 358.4462546358393, 360.29753696991571, 360.94425800553728, 362.67526301623491, 363.75899612927856, 363.8345939241708, 364.87387466610659, 364.98104551325224, 366.4252437784038, 367.72136148268959, 368.2429766975099, 368.49664463924535, 372.08208508342722, 373.22068763677993, 373.51243157546179, 374.76531265996408, 377.3489856117663, 378.17223866644503, 379.63222866795678, 380.64023665970552, 381.45414650546053, 381.72508063545985, 384.34619535123539, 384.3961430793006, 386.95181551268945, 388.11581291614294, 388.33411448794243, 389.43409405712816, 391.38761086443282, 393.6961532254669, 394.37220559554225, 396.42698757013687, 399.09553273845381, 400.64116656256834, 400.68234488551263, 400.79311157492799, 401.05894626386049, 406.2555610078918, 407.70345956755722, 410.45262234180467, 411.43487756888152, 412.09713863743877, 412.22548833663529, 415.20146373476047, 417.42191874388556, 420.26999869574411, 420.30569726963802, 420.56016183281474, 420.89617478144629, 421.07891560484353, 421.45993513531374, 426.47159106064498, 426.95909550735746, 428.73971528239105, 429.20524260753041, 430.95609924557942, 432.67938950545442, 433.39855575143304, 434.21537122271332, 434.96093025643762, 436.18013854268588, 438.28488068802386, 438.75969115936795, 439.23540201872123, 439.68014692157516, 442.71622072745782, 444.0978733115748, 444.47488640093991, 445.59901985784285, 447.74165083022308, 448.37613276750079, 450.57598940688632, 451.56462865340399, 451.96239559798283, 452.21338174359011, 452.37740836602291, 452.98690759207136, 455.18488199133446, 455.55768368606749, 456.37416967309679, 456.60119896185785, 457.49794579974878, 458.3884520729365, 458.70583603360978, 459.5032835951265, 459.89996985285154, 462.42434321219906, 464.39442034781507, 466.24974098547875, 466.86011242640518, 467.29525867371694, 468.53108464753865, 469.1437085383248, 469.44451012386276, 469.57082535774754, 470.00940979082122, 470.47196853246101, 471.01038656452721, 472.65273655305748, 475.46178741883989, 476.1538416172213, 476.75657963951778, 476.97893225448252, 477.02673564256645, 481.22022035609331, 482.38190061685731, 482.47730483348209, 484.5602986548792, 485.83548134925474, 487.32276334151607, 487.87445810063411, 488.47198893747731, 491.60237492303344, 492.56992954176411, 494.88185955796268, 495.28575562409122, 496.68795915252429, 496.93931193838711, 498.80781270600295, 500.50904858263527, 502.58295555736339, 504.2768388997157, 505.06602618789702, 505.76494325054961, 505.92938813364844, 506.03212320008771, 506.15145061540892, 506.78634562151171, 507.24538835660326, 508.13056536051664, 508.59400208191511, 508.73235122330095, 508.994693012928, 509.61283181074111, 511.43329511010757, 512.3310226848414, 513.26713761435553, 513.71163491777224, 515.45498291733486, 515.72747183607726, 517.11095930995941, 517.40323221663448, 517.88385635508121, 518.7632078017142, 520.25107310544035, 520.45479001248702, 521.21375387744411, 521.90396220367904, 522.07764507315972, 523.38290035837667, 523.60886616292134, 525.99325365950199, 526.17882461808642, 526.20043469149925, 528.61393855058827, 532.9464934109651, 534.36480992918689, 534.97647656309425, 537.10638291034593, 537.36170598566264, 538.48881070190691, 538.71798614089187, 538.94215251331639, 539.18283056876555, 540.06237411840391, 542.12727545266785, 542.66909689089857, 544.41765671145106, 546.79573442303592, 550.10291047347278, 550.28821434141582, 550.45374429900892, 552.10529699312417, 553.05044600736971, 553.23366535800915, 553.75376136969089, 554.39672579833666, 554.74980753693194, 555.58089364362831, 555.64924474066333, 556.18774596709841, 558.28771101162306, 559.51267049290061, 560.57736859412842, 561.00058874730576, 561.03846093675031, 561.14368525900113, 561.17866274340645, 561.93422074599835, 562.12542588711767, 562.24409039032571, 562.4124711006873, 562.54602909553125, 565.66610218563028, 566.2184805412262, 566.58435753163724, 567.5851225624001, 567.67644478126249, 568.69431601126621, 570.20164766147366, 572.47811882378517, 573.18890635730395, 574.58977873554431, 575.04044873106557, 575.38441205936897, 575.42665403771912, 577.71378238146792, 579.0134446835408, 580.42643265309016, 580.65343849732619, 582.07243394304669, 582.12094259203843, 582.69806629544803, 582.87414144010938, 584.79772780860685, 585.04229267087032, 586.01179886210866, 587.17378046018325, 589.19818200535065, 590.48550641593567, 590.94334813362514, 591.84985570302638, 593.16620248216577, 593.62362881133129, 594.27673085443519, 595.2729408148731, 595.65572692127489, 596.14983217989197, 598.02888230395729, 598.1242822255565, 598.65569269828518, 602.41363805884635, 603.02687275389485, 604.55633061407696, 604.88447408219918, 605.06255081781705, 605.91952967133739, 606.14807809648153, 610.17824227677522, 611.24548237032866, 611.29215077604238, 617.56400120772378, 618.25368291906466, 618.78718583435534, 619.29952139305965, 619.45861923438702, 619.79198336633999, 620.57248317370011, 621.27571193454889, 621.87335142774953, 622.2069027171674, 622.45536862385359, 623.08994178518833, 624.62974151659193, 625.20743381379032, 626.20727640775419, 626.41431896572635, 626.93787465972912, 626.97053962258974, 629.94874099977142, 630.18335416788898, 631.88006046255737, 632.52339676990289, 634.2283793673472, 635.1225835233829, 636.67492528771163, 636.9718583533521, 639.94267140683803, 640.42899688173793, 644.24873865384689, 644.75127533809928, 646.34945983474393, 647.37939455706623, 650.57432365465229, 650.71867725883737, 654.76158648414901, 658.22781735854664, 660.34281018105514, 660.66572265353636, 662.30025006802748, 663.61693715224555, 664.90893416916094, 665.79256496875507, 665.86983478022239, 666.73951592292531, 666.89987147507634, 668.94890881363335, 669.76465447402518, 670.43655622246592, 671.47744281967084, 671.58757608810254, 672.92652550862351, 674.66034091271047, 675.31567860618838, 675.3881159913791, 676.3858832054251, 677.03225470626217, 678.03566244873218, 678.15904506299864, 679.35840526560969, 679.51774087053298, 681.37516913276568, 682.21090823708528, 685.57515677850358, 685.92781635716881, 686.08828888123742, 686.66858828573902, 687.08702195246951, 690.45796239245112, 691.21852993715754, 691.23882181869305, 693.53871484866193, 694.44489758149109, 696.73687952500325, 697.11191702973656, 698.54447840703006, 699.0852000520299, 699.40788139963411, 699.62356482981295, 700.28791565755353, 704.03014691299779, 704.75067402936133, 705.24040378471454, 706.17371841391605, 706.45525995434491, 710.09839099373414, 710.1866034184975, 712.05834765053532, 712.98147115230506, 714.0010604893348, 714.39035983625706, 716.69865413927994, 716.97292489604126, 716.99538387846212, 717.51634968204337, 717.64343988825237, 718.12473022912104, 718.40306590569412, 721.16542847334449, 721.32209096017334, 725.30340212945543, 725.67263468600561, 725.74596168854509, 726.83113550698761, 727.11945808572159, 727.62534176091128, 727.85074848790475, 727.90533346750863, 729.25877325773013, 729.72669430507995, 729.83633056479721, 730.21559353628379, 731.62311311216558, 733.29430460102901, 734.184761142551, 734.98802008992755, 735.30997919513095, 736.2086862388478, 736.46552143109784, 737.23831453452294, 738.53694860016412, 739.91715006607285, 741.13059990968304, 742.77416280597436, 742.99961615178233, 744.02064966054502, 744.15612336888364, 744.2533516665344, 744.39080282937925, 745.93569507681502, 747.55972518349756, 747.58981501391872, 750.18840696779898, 752.80122864184091, 754.17819459959799, 754.7707284289063, 754.79767645922686, 756.46342303887286, 759.75963486001638, 760.73657349715268, 761.85600018138086, 762.26597720137613, 762.71570724423043, 766.69086987821913, 766.99968120380595, 767.58362375732952, 769.99814563454663, 770.6930589294202, 771.5628399906675, 771.93811845056473, 772.18434964189771, 773.0782060834681, 775.86723331318888, 775.96868902927417, 777.75852886710686, 778.5116815424085, 778.79482378082059, 781.20288453185526, 781.49944944083711, 785.85229957527304, 786.1669633511118, 787.10540299600632, 787.46880340946097, 789.09905286776814, 789.38462535942165, 790.26396250810546, 790.76509979421439, 791.47688646827601, 793.50213308166781, 794.28884879078089, 794.44342832241705, 794.86845208440252, 795.74841155110551, 795.96267802032287, 798.45075873036706, 798.67886362186209, 800.40616264287405, 800.58830560570345, 800.87907645812311, 802.79763752139638, 803.90762096333719, 804.96157252589239, 805.06642501902979, 806.23396486704507, 807.06207719666133, 807.46686086602506, 807.60339194258631, 808.68756466388004, 809.17594368111588, 809.87640696151448, 812.89894371141145, 813.9861873807472, 815.29388304441886, 815.41190719843905, 815.58763208973687, 815.78914214720942, 816.07797615326683, 816.48593316705728, 818.73175154080764, 819.23686227779854, 820.4566205851313, 820.95884811812346, 821.2581097259075, 821.99352382068457, 822.22027585001797, 822.72641975360227, 823.24944075091207, 823.53113107640456, 824.01366070007464, 824.28317449401959, 826.04171805417593, 826.54551020351323, 826.66421229669879, 827.1542647161516, 827.85908159109215, 828.141615380698, 828.2195082596561, 828.52985832136665, 829.08406041989213, 832.63741355145339, 833.4165840492509, 841.04961645809192, 842.31132283243278, 844.68913125311349, 845.59943093608501, 845.71506488105524, 846.11257033947277, 848.74562004788959, 849.36561511007449, 849.43649227055198, 850.71734856516105, 851.73871563627029, 852.37459269675867, 852.73496930289139, 854.1582365654682, 856.01985364777875, 856.72486428293905, 858.33733070687242, 859.87393276724129, 862.16672829329661, 863.73334592228207, 865.97185804219589, 866.44690382207807, 867.80825518191648, 868.71709411535562, 869.65469673823429, 870.34881542733581, 871.38334714632413, 873.94421416322086, 874.63138516188462, 874.86597370205504, 876.26268854075738, 877.1093277708577, 878.52556487737138, 879.01183860535502, 880.40640748862427, 881.15923365987453, 881.9134992083093, 883.9971781683206, 884.16857089115661, 884.99004419372261, 887.41265284480312, 887.83738576336668, 888.05155219366475, 890.54249088203858, 892.16831127833996, 894.23060255463304, 894.42039753208951, 895.18229747595319, 895.81868416479745, 895.97053706698887, 896.65542787918253, 896.93257796366163, 897.3133239008805, 897.69659500452144, 899.03495548479361, 900.39238339628719, 900.79529877948289, 901.93160050117069, 905.94051897367285, 907.80312286512788, 908.36142194468562, 909.12849804294842, 910.93985451330229, 911.23506464302034, 912.45025842875077, 914.58989342620544, 915.11497678719627, 916.2627813000197, 917.16060457409924, 917.19875966495272, 917.83947367619589, 921.90360144535191, 923.59055033295124, 924.33817808275398, 924.80265224785114, 925.02227698933132, 926.42846866130583, 926.9556560243235, 927.72281890412876, 930.76286801578544, 932.6399121673403, 933.82995639577985, 934.75078244376277, 935.7870100325764, 936.62844804044778, 936.75705141775336, 939.56878917535425, 942.35534875673738, 943.74767157531153, 944.12625372771049, 944.22561937443004, 944.75410440197857, 946.14573406008583, 947.5820634736416, 949.22818156524511, 951.16984490454365, 952.11235427833083, 952.87111371422964, 952.93949121748983, 953.52147921983885, 954.00082577234275, 954.21642388907378, 954.63576699683256, 958.88990891622473, 959.16387411473329, 960.85451865125196, 961.41800845897035, 961.64675011330553, 962.28361243277561, 962.98691344294923, 963.2368908310882, 965.18297838700062, 966.92546538030524, 970.38231563649902, 971.90726797578088, 973.16745314217803, 974.61092458481983, 977.49555024488006, 978.3843909306662, 978.48393279247944, 978.86845485491256, 981.33852509401743, 982.7570157071948, 984.36012087300742, 985.2529782467924, 985.29353716366745, 985.43271601817412, 986.48142258011285, 987.96202596475825, 989.3115201126285, 989.4083026256742, 990.81979798711359, 992.91454586591817, 993.12458675277435, 993.25640899649397, 996.65968073654744, 997.68474859200478, 998.33902460036222, 998.76612065699942, 998.88224740087639, 998.90568731176438, 1000.2706914483537]),array([15.520718416910883, 15.640033915574289, 16.756285845076054, 17.557973213060109, 18.146363950500202, 18.648062214888188, 18.852584589959864, 21.987807370388854, 23.416679750833882, 23.906294734852917, 24.32854905818397, 24.775387133170224, 25.409957059334957, 26.826455239854273, 32.224522292224755, 32.32079430982558, 32.589045792307381, 34.113982841481238, 34.587041823179263, 34.674877098734214, 34.833416319901367, 35.731320234226821, 36.763866069438755, 37.042155005277948, 38.602645665423104, 38.856119810602813, 39.525598310503938, 39.754258566574784, 41.03740863641228, 41.363571704232555, 42.770417955390755, 45.349123400430436, 45.875573780802384, 47.707044282129146, 49.570184082888005, 49.707439160913253, 50.129191975508391, 50.648101449978448, 51.144569765245187, 51.352115196169265, 53.407610113712963, 53.765978395881959, 56.591286289694601, 59.677915563525673, 59.727146464780034, 60.336058412444316, 61.578997069741199, 63.271999310459876, 64.389586882072678, 65.662829645636478, 69.372555716296191, 69.578080123496036, 70.225931497412631, 70.752261454644298, 70.834580183680814, 72.535111864247781, 72.716383562130886, 73.763475070127043, 74.798692194033094, 75.35426502234651, 76.477535561104361, 76.592328513501215, 78.027377217097083, 79.126228218011562, 79.594739957775886, 81.710319734860917, 82.547676305222112, 83.995749209575678, 84.085775589179292, 84.621478502912097, 84.762172908278487, 84.89585668098394, 86.833420913585172, 87.549860333204606, 89.55620176479907, 90.778882996853994, 91.260825107104921, 91.402399543583584, 93.01563400324514, 93.150109106664004, 93.594317086832703, 95.861478344675575, 97.595246441890708, 99.177175359174001, 101.02080902230772, 101.71889202911925, 102.11852240526305, 102.32227049667769, 102.38712004692731, 102.57226617303047, 103.09347379630711, 104.7547351676602, 105.09772959917636, 106.43334265604983, 106.72198815484855, 108.46268153334837, 108.92364462940137, 111.30501321105689, 111.71445281348866, 112.74291517969758, 112.87681057583391, 114.87021309976404, 116.22665263706273, 118.15998810028348, 118.18980273205376, 121.52997949909926, 124.22955770307648, 124.36572657227583, 126.08943573173794, 126.15778535015542, 130.27719970685359, 130.83637575382267, 131.72882767942176, 132.53147782883093, 132.74598278692429, 133.01185309868427, 134.07156383179813, 134.2748070934409, 137.28112440093676, 138.69933330904459, 138.73343167269533, 139.54173358544551, 140.38802785563976, 140.88634632881295, 143.29766829601687, 145.50817141441897, 146.17482987974691, 146.75946056229878, 149.16487129494831, 154.16518606593758, 155.72870226788862, 155.97209104219422, 156.27459424970942, 158.05568940548454, 159.83724388167576, 159.871833768382, 160.63888189734146, 162.15499678432033, 163.29615547185045, 166.04499706860537, 167.98864514620914, 168.45506687418219, 170.0744212061955, 171.2865790396649, 172.29579544301598, 180.00779156673278, 180.47217325562175, 182.92262753635876, 183.8259908631544, 184.18365822613725, 184.39664502901903, 184.80566595056732, 188.02841545209554, 188.10748601312108, 188.6779033217924, 190.12987255222808, 190.36120283635296, 190.73062594146168, 191.02738522035128, 193.03608380292741, 193.34614616879975, 193.82121299548635, 194.1933054227751, 194.71564377086668, 195.05743569659236, 195.5359864372306, 196.76176368003115, 198.87753369701375, 199.13947700274863, 200.04985231144738, 201.3708973474225, 201.6478303821095, 203.64610156559763, 204.81787971276211, 205.52091557873774, 207.04517444649349, 207.23811884554112, 208.52220981303236, 211.79293246111885, 211.96898884312478, 213.81465393297532, 216.42129919575754, 217.14386474666489, 217.30548369262658, 218.18330203874302, 219.75978067433903, 220.25543767406981, 220.35350438647325, 221.20295395021597, 222.04039297729034, 222.81119153325133, 224.61983283831543, 226.4505879482756, 227.39839389273371, 228.89920405365544, 229.83152009522297, 230.762045993924, 231.22454358504831, 231.84246225729811, 232.00791488530302, 233.12976417086119, 233.18348256673318, 233.91977599121017, 236.09191047869587, 236.84053991531243, 237.67608121813112, 237.93860650255385, 238.18686396773666, 242.07940712067423, 243.56049832060367, 243.70739232847251, 244.55640046504476, 244.87412974164317, 244.90516054178062, 245.59803761323803, 246.56920100966784, 247.634783927482, 247.6782299764815, 254.56257835291933, 254.70503922740139, 254.91723577367284, 256.06370856621709, 256.41656326107005, 256.87657874291017, 257.3978533711313, 258.82309703351586, 259.52452603783803, 259.75797714011429, 261.06605976117947, 261.69644542787455, 263.80314465935277, 264.43552415794545, 264.69768023030105, 265.36814568695996, 266.82460611821705, 267.8393518536887, 270.61187652803142, 270.70592541311686, 271.11823380854577, 271.28536324328928, 271.34787673990189, 272.2118076612274, 272.26022537507566, 272.37730442857821, 272.49254366836124, 272.79581094266337, 272.97977478425582, 273.24659424518632, 274.55773683108856, 275.03170779006109, 275.31117429790532, 275.56030795559838, 275.91767784172549, 276.39466045713391, 277.07615916402887, 277.78352924283291, 281.13217950368863, 282.15140196530541, 282.74418706454901, 283.33570573072291, 285.54172708335716, 285.67883507785746, 286.83439087222268, 288.05138973072701, 288.16252638338267, 289.62033109290917, 292.53991797799983, 293.38873909992492, 295.14837334704646, 295.90511088550204, 296.14557269126254, 297.770587146244, 298.19379693942147, 298.28832324456988, 298.85765932722967, 300.0609942116231, 301.15428582388722, 302.66172881512603, 302.85190008558595, 302.978414477802, 303.21890331373271, 305.0459233474993, 306.85873793813954, 307.35456786390301, 308.04366905925906, 308.37602854085185, 312.63046896860607, 313.78842260527648, 315.98734049194991, 316.62412594270739, 316.98800516491195, 318.46192248777339, 318.87769419889679, 320.04327649850831, 320.79041114688192, 321.10643685028327, 321.98912756446049, 323.04993231094829, 323.31948935958349, 323.43515463327878, 324.49731460284778, 324.64129262436541, 325.49475649532246, 326.40516168727129, 326.46843578760121, 326.88918328833626, 328.10565430742707, 328.91936078505506, 329.24238352323334, 330.18383852316407, 331.17283733163413, 331.4116731453737, 332.85075735057313, 335.82016636038975, 337.11396026317732, 337.28384094370358, 337.50481833104379, 337.59192433603772, 337.78495219207952, 337.86362404656126, 338.13206350789426, 341.02513661572948, 341.96033222136208, 342.03310022685991, 342.52644272999919, 343.07258998869781, 343.48585622147976, 344.11789951865433, 344.22772109646473, 344.26249344439054, 344.45843779334712, 345.19430519465885, 346.95496178890494, 348.53718916070568, 350.97594692040769, 351.34288180986499, 351.49671225081175, 354.62519926805339, 354.76621804202034, 354.87843415521701, 354.96224284031888, 355.1588633270531, 355.56264472251814, 357.75578536311002, 358.36245303193522, 358.81519383473272, 358.85534423457466, 362.21046693313633, 363.63284319747351, 363.70909843345697, 364.34306302078721, 365.37793354203143, 365.45851353978486, 365.99308827413415, 368.49207092210713, 369.24765772194576, 374.68457712222107, 375.51354985576467, 375.87791580716549, 378.18992877651777, 379.799847191173, 380.88415580206873, 386.32550632284568, 389.82757534730763, 391.35390604688217, 392.20602965985398, 394.7416815182321, 394.97743921336155, 399.41396403849228, 400.67082087500643, 400.72067048062883, 402.33973444770913, 403.74933248000622, 404.8308433212066, 405.50040705480308, 405.7438245769319, 406.23618503871677, 406.28719465475064, 406.99863889500267, 408.58339785310426, 408.74256103572884, 409.6161670678926, 410.75846344919984, 411.13889365254238, 411.31542403650673, 411.6178415757409, 411.83614423952417, 412.27384197997486, 413.18134610803992, 415.26751598550186, 415.47336092367442, 416.43963288430922, 416.83868680117911, 419.2052999942814, 420.58770922257321, 420.71439284180434, 421.18951434344802, 421.28655011485802, 421.64326808018495, 422.24633771399738, 423.7927232502272, 424.13727872878746, 424.70173075882803, 424.8917501509157, 425.86294146509414, 426.26855644988677, 426.9619627842157, 427.60381185716568, 428.04273949394968, 428.61297139906742, 429.12562908373269, 430.21903153355714, 430.36904624211763, 430.65734637431206, 431.61289026371207, 431.69124821738598, 432.47443218604286, 434.63325599742711, 435.24668290417856, 438.59639137762088, 438.9096338323256, 441.32290721783886, 442.80113816004729, 443.21082149209502, 443.65664189671861, 443.72177784439162, 443.95315647679314, 445.33819112004062, 446.21544481162249, 447.80306554828053, 448.16100025107301, 449.40584623127535, 450.7668019426286, 451.71072303780772, 451.76968733049216, 453.68553520150783, 455.8119602680884, 456.78171396379526, 457.01971149558597, 457.08358191704826, 460.9630782912372, 461.96744256012727, 462.82687149524395, 464.07016704293454, 467.91141966868133, 468.5685220347612, 469.3413924750933, 472.57093708869502, 472.6281756669851, 476.08279448097642, 479.09855338615591, 479.98368389251738, 481.15594778044323, 481.70465139587139, 483.68722970851996, 483.84621616491313, 483.94695951562659, 485.38030372159506, 485.49992395128112, 485.74455292816413, 485.97355963033078, 488.56389748534781, 488.90369730428404, 490.00878836021849, 490.9089386578068, 494.68325176967141, 494.73208831743665, 495.09483282238648, 495.71852961449002, 499.2128591795086, 500.28113667121852, 501.10158958198241, 501.3209074012866, 501.96273583251286, 502.06867413394252, 502.59112139178956, 502.72923798634224, 503.32690375520423, 503.68646271191972, 504.13536288038347, 504.38699478040911, 505.39950063192202, 505.84741297919885, 507.46908431437737, 509.30969274518122, 511.64171141333429, 513.19443249208007, 515.01502703209292, 515.28038621896383, 516.87337849979042, 517.05079632402601, 518.21941650146744, 518.3227259023123, 521.10316054925431, 522.60665133892303, 523.10317790469446, 523.43313682899293, 524.13738134135031, 524.33556368271888, 524.62287562475217, 524.66044273077614, 525.16335322935754, 525.68211184570123, 526.040611927535, 527.15270628293615, 527.51649064818332, 528.77192428696537, 528.80993773276873, 530.77239915686664, 530.92393843251728, 533.29336758386546, 534.00484662969495, 534.60766392911364, 537.69755304598834, 537.93985855131655, 538.04890527347811, 541.47567330047309, 542.94736771958992, 543.35043062882892, 543.89581697676874, 543.94932444083804, 544.66764455991608, 545.93602968260075, 549.75656510611634, 550.69325707633948, 552.63364253143425, 553.58788599555442, 554.89805145176354, 555.37995740013082, 556.38689979825335, 556.64527515532245, 559.58684145986933, 560.95422534683655, 561.53060621580244, 564.153614802466, 564.70106348039985, 564.75301227547106, 565.86071886206764, 566.07544322149135, 567.26799368689967, 567.31285477335666, 568.61183657707841, 568.67462138903659, 570.59702060699044, 573.63243773155205, 576.63304194664659, 577.76269947482729, 578.7639326179725, 579.95854296705534, 580.31363329503358, 580.85104966293557, 581.53815690984823, 583.86639117103255, 585.17619995865414, 585.56940732475869, 587.24251037895408, 587.41607527978044, 588.7162783141606, 589.12045877602907, 589.65693966331946, 589.7787972624177, 589.91350252456402, 590.79985039282542, 591.19021031953014, 591.46319010635727, 591.88591884882123, 592.56523954539125, 593.54300864950062, 596.27066104762207, 597.95162036240436, 598.59295314851101, 599.25660411430374, 599.87737121934333, 600.64400820863341, 601.29780083079652, 601.75066354852265, 603.00005311807297, 603.61750807289957, 604.43834732943401, 605.05111472200588, 605.32927704279803, 605.65595731866915, 606.12634610064742, 606.1478681834127, 606.19066165918161, 607.99144872117063, 608.70600140162719, 610.15471084641638, 611.04631706788291, 611.32270825319756, 611.74209774652797, 613.22076520249959, 613.71189383165552, 614.45097662298031, 615.15596544331675, 615.45763605814045, 616.1460286728086, 616.93697374901444, 617.98590596466704, 618.02238033022195, 618.95137315489751, 620.54298144065694, 622.16000784376308, 622.86291084565619, 623.84639040531567, 624.40805971134807, 626.18796142084739, 627.79983087924666, 629.49487472471333, 630.09154958548277, 632.31924810267537, 637.99875908882655, 639.17023443491303, 640.43480008890015, 641.16310191271043, 642.20067667743217, 642.57863996601702, 643.45790826374969, 644.81184374543056, 644.85088942828281, 645.50914054313375, 646.82985147842828, 647.34621479511895, 648.41037619414431, 648.43622265173849, 649.93009169537061, 651.03399462807909, 651.63764182259592, 652.00188517737536, 653.35449266677676, 653.96332709654257, 656.12326965072452, 657.23192222607736, 658.37592194519743, 659.09134696474348, 659.22896993347103, 659.67482223758464, 660.16958913521478, 660.35743855582291, 661.64143517148045, 661.83402642850069, 662.21807408323093, 663.03007210522912, 663.47571339986212, 665.1224900728497, 665.63075798942862, 666.35208590093498, 667.64451351613332, 667.93395749864123, 668.35218926326456, 669.56008634743205, 669.67378346713099, 670.67733933259524, 671.52911542541096, 675.14367289961331, 675.60242601604068, 676.01644246616058, 676.95116857554581, 677.35712850863797, 677.67749033516338, 678.34046804986338, 679.10439539109348, 681.09936021878013, 682.05037300719619, 682.67328951326442, 685.45328177920851, 685.60708773171211, 686.6535119760307, 686.81894639042673, 687.29712506099577, 690.78637341844308, 691.9120720740234, 692.31979761908019, 692.72099059893696, 693.8363029027438, 694.13897000700365, 695.87865046961178, 696.00405706988238, 696.31832753397691, 697.4912142929694, 698.64076842014231, 699.36575038074523, 700.15085626341363, 701.01012051186558, 701.57966998298889, 701.79898545445758, 702.68386252833147, 703.16889889682454, 703.70990047547275, 704.09364554952538, 704.27846287307239, 704.30821245420987, 704.39279054302449, 705.67225171061079, 706.31593070777012, 707.55720980067588, 708.00394013402627, 708.39291412399007, 710.07175527422874, 710.61430566473348, 712.1190294564426, 712.2117318601172, 716.22506803398153, 717.38446589338423, 719.08136898581176, 722.87540366420626, 724.88533320530894, 726.39272631050937, 728.20704986720386, 729.55751065306265, 730.37310460523838, 731.6020393759718, 731.88783726245458, 734.11416143400697, 734.29031198382336, 734.92122535953661, 735.45466874605825, 739.87400054850707, 740.89238352867858, 741.48921157953384, 741.86752085255262, 742.65276910287173, 743.40194141224447, 743.7996690647708, 744.11968296131545, 744.25471089910525, 744.41549362372439, 744.86734078204313, 745.37730353427901, 746.04709202114145, 746.42410403140059, 749.09737065758509, 749.75665936468454, 750.13645813114488, 752.8487095897442, 753.97806849765982, 754.40414591936349, 754.58721451357417, 755.23405563191329, 755.39382613555756, 755.63406559097382, 755.83742941648063, 757.62128452802176, 757.74094213527428, 758.91477582115078, 764.18409468521145, 764.39978996641696, 764.8754487591732, 766.03784901411859, 766.50192617914126, 766.86398483705716, 769.47098542777246, 770.72389355486962, 772.70353216625517, 772.85367186406393, 772.91105779562417, 773.710767505896, 773.74190260933096, 774.28460956701258, 776.03723401209129, 778.68779838618661, 779.73061614535629, 780.08150389282446, 781.68212227864024, 781.81436230455131, 782.78008094324707, 783.00879529585313, 783.17991447931627, 783.94280998869033, 785.21628954726543, 785.69838645117875, 786.18894140273289, 786.21628495405889, 788.5619624909092, 788.65421534335633, 788.76084887002116, 788.7917354852284, 791.3421637791896, 792.15577167218635, 792.44967810754872, 794.78548673031867, 799.32224869286597, 801.29129207230881, 801.3254839386791, 801.41607181630332, 802.24943561330838, 802.30654552533838, 803.25259102061113, 803.87122426993812, 807.54620473496243, 809.93044014693476, 810.71881973767643, 810.79268625256123, 813.49487653316135, 813.83440703042618, 814.78673062438224, 817.49869188983996, 817.76011718673135, 818.50685807207878, 819.17183397771544, 820.00893006582294, 820.6914388242518, 820.85024988302575, 821.00451902810698, 824.17770041189601, 825.04886990782938, 826.0251043909185, 827.65693644505996, 827.71524435471349, 828.30651500203896, 828.73191103756949, 829.65259943920989, 831.74550226982387, 831.85379431184072, 834.32619046520574, 834.72988176058391, 836.47980372314237, 837.93581353958245, 838.58733128049516, 840.17068718620328, 840.59088065522621, 841.79276768129671, 841.95208648097639, 842.87429318045179, 843.73657549147219, 843.78452027524315, 844.12984957112644, 844.37533735238151, 845.8557170429807, 846.14823576997708, 846.29464859089273, 846.52921723400004, 848.90304476774668, 850.16208187932409, 850.44901055143373, 850.60040943086233, 851.10719116970654, 851.26901765890887, 851.87407496153446, 853.21672401821979, 853.90543351180634, 854.28449605437584, 854.46003513274275, 854.79767946636298, 854.85876702303688, 855.48063972863542, 856.41883035722958, 857.38769961134278, 857.92470687193236, 858.8160400235389, 859.15510029387303, 861.18908398262408, 861.94970056262628, 863.29752484373478, 864.57273567631671, 864.71642100218583, 866.17263800311866, 866.86588301151505, 869.17110460206311, 870.01094466425923, 875.05160819533103, 875.65015161363044, 875.70250579339506, 877.9939062464872, 878.02616588794547, 878.90592621934582, 883.30144124284004, 886.08149452926193, 888.32039494865876, 888.8518755485768, 892.81564225479133, 894.81390881491041, 895.3178433655454, 896.1343729927064, 896.78235163363513, 896.95201171094595, 897.00862792190185, 897.91612502749024, 900.37484247529699, 901.51229405605704, 902.827270104577, 903.55683841138318, 904.33401331209802, 905.22727296354128, 905.26518862499358, 906.62934911669402, 907.65532943200014, 908.69052227603925, 908.95193118079442, 908.9757062593884, 909.66113379119201, 909.95961119804338, 910.06661099725773, 910.50466859350843, 913.56556256326155, 914.02922106587937, 916.05902957509488, 920.56363380873427, 920.77560398903279, 921.30235199744197, 921.66137618398864, 922.6935843895576, 923.02304000570939, 923.93170146921568, 925.38808603323719, 926.4063951706886, 927.02206456626413, 928.56693674233748, 933.59095477007793, 936.4830139438136, 937.47989064325395, 937.58708976280991, 938.31037600013224, 938.67730826356717, 941.22556314762357, 943.738444182188, 947.28809703819354, 948.68349979262803, 950.74030001514143, 952.31015745252387, 952.52430399017499, 953.43158843611911, 954.44140478174506, 955.64486140893314, 955.90571118171454, 957.218767358901, 957.51277402086282, 957.92662697527555, 958.18015740252042, 958.49614019483022, 959.62654462043338, 961.65278076168306, 966.26305290702294, 967.04010299269203, 967.45955317942423, 968.28407445247467, 969.05101007159908, 970.40235152570688, 970.59531786129355, 971.25419425166217, 971.64423698959217, 973.27319404694902, 974.29408266055839, 976.31248704654547, 978.92645444340019, 981.36069664524302, 983.82927192824934, 984.07904584988057, 984.24073368298991, 984.58881066252786, 985.99121206390612, 986.66394253374176, 987.50256862468837, 988.09649547955587, 988.44369179405919, 989.45350708853721, 989.9531354421714, 990.07676477340317, 990.37119709407807, 992.55232952084032, 992.78012275932497, 994.45312151712244, 996.10946671051784, 997.34934397179256, 997.59755801910421, 999.20161854927051, 999.49888198725955, 1002.3824765603597]),array([33.029817750432301, 35.229229770782176, 35.529047285708778, 35.786436959612757, 36.729501269298339, 42.36806468579384, 43.990605862037306, 44.328830057355688, 45.790315378954062, 47.657159833960023, 50.118940522947348, 52.407533503914372, 53.085239645629507, 53.888773381950486, 55.021046193976154, 55.060813547047317, 55.176731728857305, 57.127699320550178, 58.430643287492387, 59.980534285988327, 62.198482064502194, 62.299285514612095, 62.656749376047571, 63.880788911420815, 64.507980896669451, 67.184654246888257, 69.517856695576782, 70.080696868500766, 70.656802035690035, 73.132533351712766, 75.445284728657242, 77.490852240341383, 80.135489566070362, 80.30315278117456, 82.681678080753997, 83.968898188625332, 83.993026291070805, 86.470720860708141, 86.625037639882635, 87.483738491105925, 87.585438617816891, 87.991190197164215, 88.194257605564005, 88.729906731169422, 90.275226528707663, 90.573485327423057, 95.138624417895187, 95.436680496466977, 95.975423832798384, 97.072085884933287, 97.522491841223683, 98.470026222776852, 99.603321923517541, 99.779486084151273, 100.16974233939804, 100.87703747943794, 101.17263189399281, 101.68477325568028, 102.51450496251448, 103.23986669660005, 103.62077011264999, 104.29239119106194, 104.92837948744496, 105.79616095974058, 106.42172235333314, 106.57868798673699, 108.45533006086698, 109.2907342116727, 109.41144311575391, 110.22635200774975, 110.27867426301353, 110.37215091716614, 110.94573089506544, 111.97974987980325, 114.32495359586657, 114.92185844866086, 116.39089865360833, 118.4553354392373, 120.04580783268307, 121.14891449706769, 122.83144473825385, 122.91518423171064, 123.26323476951038, 123.93124532708785, 124.14098818375081, 127.6430893781438, 129.23071522609695, 131.1675985445024, 131.94808499681872, 132.54531233533004, 133.22059768772664, 133.8951538706514, 134.5128989985991, 134.93815469817741, 135.15554206496356, 135.43151729685815, 135.50996096530017, 135.94393932279118, 136.82769845091008, 138.22828070758158, 140.46628676814953, 141.3067589336583, 142.07281359974075, 142.34262862790638, 142.75284215480522, 143.64714564232753, 144.28691215693166, 144.80429320206474, 147.49088872712161, 147.65024550594779, 148.45531816256488, 149.30997611918681, 149.65983031440382, 151.34303241119767, 153.66096315245835, 154.14910439132919, 155.42957643920309, 157.27695795868371, 158.49669303776705, 160.61293948553197, 160.96024344292351, 162.69179243500534, 163.09596548360437, 165.31616757179825, 165.9656062485449, 166.12085448998633, 167.11985208314104, 167.49024975921898, 169.52862692013252, 169.69032863715765, 170.01511507350051, 170.17227844906697, 170.29410372476278, 171.00413254684767, 171.26130630424382, 171.76875903858956, 172.99856174596317, 177.63326859377403, 178.46940461102554, 180.35229574487579, 180.41725836273943, 181.07265525535971, 181.38761806227359, 182.3396937585963, 182.97667256633864, 186.77248166231576, 187.3065802258044, 187.81709461643098, 188.30851284356214, 188.46642757935271, 188.56358488943482, 188.68091686746649, 188.8906201997747, 190.63713091966491, 191.81051431948961, 193.6318443560005, 194.30976899047218, 194.58135217336121, 195.38307677858222, 196.26973172904647, 196.78460135831438, 196.87870515344233, 198.32393013633802, 198.92904751452326, 199.06412184350125, 199.33842150147419, 199.36580129462078, 200.94134841082123, 201.10947594813416, 201.50792833011428, 201.76922830408796, 202.09287815472132, 202.69849571613844, 206.82466617471988, 206.90366712866864, 209.75065839360553, 210.23914403602794, 210.50897470121274, 210.82931540831726, 212.34277139601235, 213.50975820379216, 214.26258051577793, 214.66138036148863, 215.70060984464274, 216.30615516062539, 216.39599899856336, 217.06188515227481, 217.55620663881638, 217.65114353620311, 218.72711395837183, 218.9824256305447, 220.11069806029192, 221.61470988715274, 221.77679058871252, 222.72633666034861, 222.9817210082237, 224.71147712536677, 225.31846174096157, 225.83122432468849, 226.07574476428388, 227.32093599702844, 227.59877653189554, 232.10240682399257, 234.26621966666929, 235.26763535564447, 235.54253911638682, 235.60978858790872, 235.71561488000674, 236.60261426245509, 237.7792456802427, 237.82115652729021, 237.93600254461586, 241.89516759365867, 243.94136072070836, 244.72334229979296, 245.53382058100277, 245.61595194944491, 248.2704651579235, 250.05020868701942, 250.25962978941789, 253.14918827521205, 253.27710841380488, 253.58800216738621, 253.76633149233888, 254.30709055501214, 256.66022601852353, 258.00634807346944, 258.88607029045966, 259.72754439649162, 260.70536641315533, 261.85799230112434, 263.14507665658567, 265.05652603331168, 265.58574904205517, 266.69399753599862, 266.92660189472412, 267.29778236592591, 267.75550603952479, 269.06702567182998, 269.6294368230545, 271.85280016821838, 272.72792464301494, 274.10343544725583, 274.29751190560086, 274.4024059768131, 275.85078872098262, 275.92896004689942, 278.11705216577241, 278.42391730483058, 279.22107223116501, 279.82569893979917, 280.17402405872963, 280.7135085075642, 282.1416030511856, 283.65613542918521, 285.95952534152798, 286.65532865669417, 286.8120163762685, 287.48188152877282, 288.38955540575876, 289.18684223934144, 289.52945986043147, 289.85259835261724, 290.24188800432563, 290.37851908849723, 290.50091978932858, 290.64214839480985, 292.09474121399472, 293.1080909153381, 293.23594136867132, 295.16459633425069, 295.72013254796866, 297.25556807802195, 298.37228317744609, 303.39991250181947, 304.51037609656066, 305.56095132797338, 308.15461300526033, 308.61642902668063, 309.66858280059489, 310.06624374366459, 310.08833094274786, 310.25922517078078, 310.6154171081705, 311.44248143810108, 312.43845540345671, 313.80325376580316, 316.86516293905947, 318.70165559345406, 319.06626179980429, 319.23887299244177, 319.99761043943363, 322.31674166646377, 323.52386311546599, 323.54846951682595, 324.48804610219054, 326.86156896223196, 328.87070335434532, 333.00508380436736, 335.81642265462386, 337.98070779947295, 341.21160171052384, 341.38225822245869, 341.50753014506472, 343.21037777544103, 344.00498726418294, 345.91371483053314, 346.15609397168828, 346.53019235766317, 347.49816323596184, 347.56154288323512, 347.68394300167188, 350.42186673079107, 351.6566043289755, 353.43785592597584, 353.97980308879335, 355.06297849720107, 356.55547297153578, 361.51288835135068, 362.47510598192082, 363.09204750569069, 363.99472996791548, 365.49294000527783, 367.47055005305293, 368.02053376347141, 371.53327933884674, 373.30126098723059, 373.59553946404674, 374.61489065725709, 376.03560247925282, 376.64227453200692, 376.77132505935441, 377.65397599382464, 378.63102381692539, 381.06285660323095, 382.66294417733224, 383.08744754383429, 384.34472942513565, 384.42992240125767, 384.87980402227276, 385.81744343534297, 386.27948300167765, 386.84672180797952, 387.98414401614554, 389.67874614340371, 391.77773262464194, 392.82721757162557, 394.14297256580664, 394.56788731674914, 396.64058324542208, 397.694839899295, 398.57823303789689, 399.53502062771105, 400.40763662222616, 400.96893565798138, 403.59181163930657, 405.7233664212896, 405.764696857741, 405.86816118784157, 406.19913284832131, 407.1428023906401, 407.48898999734746, 408.47605910322937, 408.94738872010794, 410.95801701786223, 412.51329036661389, 414.85041750468577, 415.76351609335745, 416.80991259039325, 417.17910217552833, 417.89343107778598, 418.11064053935559, 419.99495236313226, 421.28803552926809, 423.25058296329996, 423.88821002117157, 426.78605062028794, 427.47872787787861, 427.86108220010999, 428.61446758943202, 431.49442030705615, 431.88801882389515, 432.51472501600819, 434.14076568708958, 434.65504782565966, 436.31313699793094, 436.6225327621018, 437.00364082730619, 439.30188111635044, 439.39425014130842, 440.00969696271989, 441.66008755079184, 441.86700683138753, 442.77013237118149, 443.46670700147217, 446.01243171695637, 447.43053473118175, 448.69791827125158, 449.05633132937925, 450.22631376711087, 451.27860272176571, 451.96362115383249, 453.90189628799408, 454.85397504527879, 455.46702882878265, 455.86622087109851, 457.35048822844794, 457.74035561513597, 458.40006575978811, 458.60017298793366, 459.55267826467866, 460.30356922950733, 461.34320865039928, 462.31060080423646, 464.19497497919093, 465.76093266178731, 465.9164146035456, 466.13379572534654, 467.14543361862707, 468.60182448290038, 472.92837555715602, 475.33825479671896, 476.64011381618826, 478.89340298285521, 479.48330074331835, 480.09544767230432, 480.7345361641955, 482.78791939499013, 483.35922660458084, 484.15608223749024, 485.73083838121221, 486.09517345408818, 486.37937211840932, 488.44705153593372, 488.78550744229523, 489.37155170438933, 489.56716889675926, 490.99323337996179, 491.35663449828428, 491.72455958521192, 492.271833883108, 493.94359096078432, 494.07185464378068, 495.33701510262432, 496.77716825557911, 497.57875556993616, 498.3198370955418, 499.21981445665028, 500.09829080528732, 501.23624646985115, 502.55260956730774, 503.50817172302931, 504.01072666318305, 504.81072034249627, 507.67691745827352, 508.11222548287225, 508.23270520655518, 509.2539055489712, 510.58710839266189, 510.7925519019409, 513.13106602065398, 513.69177133558014, 514.22440728913261, 514.62837511277303, 514.81202203504222, 515.0613975867924, 515.28384467871422, 516.15114450549538, 516.42613912074057, 520.57179944298957, 520.86727076169075, 522.42587809266945, 523.5704490953533, 524.49198366423775, 525.22312438654819, 525.9221877667336, 526.19459837519935, 526.71345739504488, 526.96928089798371, 527.45476319603972, 527.99713028346468, 529.18914965561032, 529.57234810698196, 530.98673846480438, 531.05719094257677, 531.34295733623185, 531.728866167413, 532.62482916533793, 534.0093121073287, 536.11414685352804, 537.21180054007436, 538.4477101548141, 540.91654100615403, 541.44341267593006, 542.67377579941035, 543.52157511917221, 543.62299957930861, 544.74791969582611, 547.29550123987599, 547.36926265224088, 548.05350212036103, 550.19678003196339, 552.46070744858571, 552.8262319032134, 554.11491911834082, 554.54063762155522, 558.27966424429894, 559.71241464293701, 561.1523355519671, 561.37344236114097, 561.78401611929326, 563.09342877633333, 563.77193999768394, 564.07245689733861, 565.03388809229534, 568.99875561182046, 569.30838383885157, 569.33816536407244, 569.39889538532293, 571.47088311037464, 571.67499108903303, 573.22417519175815, 574.0218078345614, 575.59309099383188, 575.91830683649926, 577.29908729830447, 577.38712845072018, 577.62420739030131, 578.04474539991918, 578.9853894351462, 579.48585424442831, 580.03937627701771, 580.80280801347828, 580.91069233087285, 583.07871078559276, 584.42740315136064, 585.24496365542541, 587.90777781600218, 588.24530911375075, 590.79228073614956, 593.43325443352126, 593.98396863742516, 594.35739927672034, 594.79072237739024, 595.19593905832119, 595.62831292754879, 595.89370272322014, 597.99972144025162, 598.44741669702103, 598.76499244983108, 602.04067839121365, 602.7742207267446, 604.03459392197442, 604.17329285814105, 605.48157539943463, 605.65873358262309, 606.30504163145758, 607.08175927232526, 607.3975301357741, 607.51835205437624, 607.65012859546084, 608.60646844275675, 609.01547472543405, 609.76534002558094, 610.85560518630211, 611.4064289071822, 612.37407906625879, 613.10010412640656, 614.05341602362387, 614.49372133229906, 615.36643128967967, 617.24677834000124, 617.60011148879028, 618.0408397809764, 619.26496834016507, 620.03868946184411, 620.20278406002797, 620.3218036737087, 621.83023438347539, 622.08358206429284, 622.60966411160166, 624.82288268223158, 626.68908528229827, 627.6344336269907, 628.79305879907758, 629.46947278201071, 629.56254825157532, 629.78444907398182, 630.72382177861527, 630.78039818603088, 631.05064290378436, 631.49279339019313, 631.58384075562014, 632.64822472165383, 633.30714009678013, 635.04946329292886, 636.64242859539195, 636.72388426993427, 637.10901456399802, 637.89228738958559, 637.95019110020473, 639.71057950037573, 640.1585154337298, 640.59712711897612, 641.03640810896422, 641.42303394123087, 642.45171733079769, 642.58906832584728, 642.69847605157133, 642.79058361207706, 643.02243762167211, 643.10537888037732, 643.73253843612144, 645.98632852492904, 646.05683632593036, 646.78024521219015, 649.35699644678402, 650.89564949988278, 651.64403187363837, 652.34842940260614, 653.1256345405618, 653.38625826121006, 653.99885885344838, 655.07860558999573, 655.54701510982773, 656.9360979614911, 657.03757678981242, 657.79539431893363, 657.87004068921237, 658.12866318785507, 660.07462220688092, 660.22012782202808, 661.19680013837774, 661.78120499412557, 663.74934755056665, 664.02309057824255, 664.69892796663362, 666.08093431119528, 669.9385259681377, 670.43597623308187, 672.41623352828105, 672.70921683100028, 672.84559123343126, 673.21288085142703, 673.80976871842915, 674.33998239356913, 675.76689790975786, 675.94148500738333, 676.31830339312978, 676.55459973574841, 680.00769069472528, 681.65243382693416, 683.29208430440656, 684.23612649664699, 685.81658610166107, 686.63443872718358, 687.04278413845122, 687.15238663542652, 688.00031065749454, 688.60115604340433, 689.78223103064909, 690.04274041427414, 690.96589810028365, 691.0419351030431, 693.25349417578036, 693.43222610719681, 695.25170527066371, 696.80877654828419, 697.42289664352779, 697.89490637702056, 701.62408440742729, 701.82165435721151, 701.87685609272864, 701.97550917531987, 704.39018949400281, 704.92667814685478, 705.12131879280219, 705.22686834821513, 705.26393506458055, 706.34068334549488, 706.58205046928856, 706.89999960827629, 707.43385392960852, 710.0870688038209, 710.12438051276547, 712.43561125068663, 713.00198790154616, 714.18854868855885, 714.62858938611259, 714.85160952338481, 715.05631636961846, 715.32816504681011, 715.6310852410154, 717.97379392121945, 721.47525806336796, 722.19069400214812, 722.63931468303565, 723.49467967271403, 723.65812880449494, 725.85785675193688, 725.90961778427891, 726.32131769251771, 728.7295691861608, 733.34946212585555, 740.8130726906179, 743.55778491258388, 745.88802277890852, 746.25659057297537, 746.52513941464053, 747.1203214188431, 748.94826249631035, 749.59844847892714, 750.76078636012858, 753.5772439697439, 754.11870536050321, 754.70416293028711, 755.42418633901411, 755.48197831965615, 757.38884131190389, 757.43688916163512, 757.65920602421079, 758.56614464926201, 758.88066532132973, 759.57777996665175, 760.51684536703453, 760.75900185160822, 762.56495976640906, 762.93405431135841, 763.31250169707903, 763.8893819237677, 764.96767926869745, 766.29247563176898, 767.36894685181858, 767.50629537471934, 767.70593806993872, 768.05912196686529, 768.27005526423375, 768.40765310020936, 769.14897691739577, 769.55247839166771, 769.80132997129647, 771.42422742766155, 772.72033534800835, 772.82351263241765, 774.20983895555446, 774.48234983266013, 774.94364441851633, 776.01718070863649, 776.41946412606831, 777.05033819881157, 777.65493143239223, 777.83774778892507, 779.59448133356977, 779.71121588605922, 781.951484454774, 784.65426055994669, 785.03000639497532, 785.45031205075327, 786.33712872728768, 787.34260835169744, 787.94210753400989, 788.39412746341759, 788.87607830659033, 788.90459381973608, 789.50843074901684, 790.12539465598604, 791.55957404852063, 792.27623355371099, 792.83814686015853, 794.14270364535423, 794.5660381986138, 795.00116907119798, 799.27499742988743, 799.45409130939174, 799.60034305969293, 799.70163239010094, 801.26059268808615, 802.11433908457536, 802.43772264005315, 805.95588223896198, 806.30727074344543, 811.98815999165549, 812.15865471298946, 813.04747639276252, 816.69633589212765, 817.43512571527003, 817.7234072048285, 817.94447522164842, 818.63226590012016, 819.69334272713786, 820.02919765787419, 820.62892782568633, 821.33697528988921, 821.67610125621434, 822.69633911838559, 822.75412151432829, 823.77979936192435, 823.87621265218706, 826.73072694241682, 827.16525873484409, 827.80206640841061, 830.29509649930947, 832.70509988233982, 833.42845486651993, 833.4894039463577, 833.53183937508186, 833.604304727113, 834.22649841852535, 835.274505122601, 837.47720222391251, 837.56507157137639, 840.33560477111371, 842.61782771994956, 843.2142183255545, 844.59497947532111, 845.08051426610393, 846.11232894966759, 847.1988621733193, 848.9896074709394, 851.93608729468394, 855.3851697033457, 856.84386942955052, 858.63560036124863, 858.66446525298352, 859.86235031209696, 860.40145549528279, 860.66989298383999, 861.23083081774575, 867.63800736925612, 869.5021312065079, 871.88932311078065, 872.58741498748645, 873.35091402922615, 875.47350783375202, 876.22675776279345, 876.25796221204416, 876.45169442628412, 877.01517738348878, 878.71422759576342, 880.69734536519934, 881.49890338961688, 882.75332833272455, 884.10209778209173, 885.64846781829567, 885.98623439124299, 887.61301267444628, 889.25269960046808, 891.04953546360662, 891.83894086209943, 892.52275523720903, 893.15064674869507, 895.89183099999752, 896.38962476188226, 897.40874955675997, 897.48168803504791, 897.60134833505083, 898.98832528139997, 899.81261792727844, 900.20010306416498, 902.2490996054712, 903.7487972109875, 905.0675123612865, 908.54510151896397, 911.52888191975228, 912.1010128769243, 913.71879649016091, 913.9683498516132, 916.90290929916489, 918.6482997098517, 919.0181531125819, 919.07433494061388, 919.82888723428744, 919.86674925412103, 921.5512158575948, 921.57668228388934, 921.92310534762009, 922.52791244253785, 922.77023317728913, 923.94319066093158, 924.61050272918828, 924.79548402902867, 926.80325030331699, 926.86285173619876, 927.35146066379741, 927.64286469378703, 927.96177601785973, 929.18178030429362, 929.49661574098741, 930.35115277935722, 930.62756008336441, 931.19556199951478, 931.58589655593119, 932.58444597414098, 934.16052287593811, 935.30983128594744, 936.32025542844622, 937.89556967453825, 938.1697978772205, 939.49567732708067, 941.00899783612556, 943.33707492130941, 944.26184285207592, 944.7052379322123, 945.35571891180075, 946.09762542787007, 946.7508598505658, 948.11491637752999, 949.57191536191863, 950.1453482387152, 950.36615103202246, 950.88175141660599, 951.31055094667681, 952.07444133225931, 952.56916627961311, 953.48119468056541, 953.57122974060098, 954.10830049858441, 954.78486546684746, 955.41925236646171, 955.50117768578525, 956.38066008090254, 956.74511878002477, 958.49728710581792, 958.56166221667752, 959.30254439276985, 961.65457104661289, 961.99943812173365, 964.47367019205763, 966.1765136120099, 968.10910801316379, 968.4517625802365, 968.73834610252209, 971.18359719965292, 971.40520941808848, 973.52013932562818, 974.89103740363589, 975.15569154341699, 976.50041546240993, 977.77430750857718, 977.97774897577631, 978.24575834172083, 978.42547823329721, 978.52675611423001, 978.83370702324601, 980.09204874017905, 982.0577740946178, 983.59158201616106, 984.8484683807867, 985.02829366789695, 985.16048478344214, 987.10172795833955, 988.56672877738765, 989.18708491636266, 990.50738365373684, 992.26221506533977, 993.86987519264517, 994.46848801854503, 997.6032180528839, 998.08879998333373, 998.46924673063279, 999.48124390007604, 1000.0520853692601]),array([27.043810607453654, 27.94856749022038, 28.885434761079463, 29.002956619213812, 29.139689713289162, 29.202213801622026, 30.649069742064249, 30.791682729515749, 35.000381626604053, 36.569500708561385, 36.827429429135087, 43.424823627176586, 43.528314813818199, 44.367129142233807, 44.842751959571878, 44.938973092443462, 45.003309748171624, 47.283345958080993, 50.929330493571065, 51.121560017505104, 52.085962046086934, 52.404619055982707, 55.422734003747195, 56.453327618116461, 56.51015567549215, 56.950896808097461, 57.805722099761503, 58.214233882101681, 60.268596148392305, 60.740559202248122, 61.636734814846186, 61.77532912712153, 62.147250693808644, 62.488067821951432, 62.543262012432493, 62.611433679770151, 63.185592551205652, 64.071925744300984, 65.937414332176189, 66.155682917566537, 66.514055635165093, 67.480275027121152, 70.248025153800327, 71.858868264413758, 72.351508357900869, 74.472854780779244, 74.723600609515643, 75.920861838298691, 76.431313209000791, 76.700543297847901, 78.476396958943127, 78.504387091067187, 78.598131562969201, 78.812437793561017, 79.151100497213648, 81.394352294417715, 81.855866567203009, 82.80578527437973, 83.273122351091686, 84.36196658244927, 85.423724218320274, 85.922472272012655, 86.165924239204671, 86.285591539186285, 86.544186141906579, 87.388988318490988, 88.124877663021152, 89.179911218636363, 89.296056554444291, 89.634261303158056, 89.890643721566974, 90.126652849829924, 92.607270319499861, 92.639480387526248, 93.228385147753187, 93.690022281381459, 94.061966147619344, 94.106974602598967, 94.531745659301166, 95.388334341967877, 96.254960332728828, 96.501537087806952, 97.296668187006446, 97.599314666141524, 98.04460513680786, 99.404670806142718, 101.03117500910449, 102.29442348892989, 102.34309672636533, 104.71764328891597, 105.59260044995818, 105.66793576732515, 106.92101286371998, 109.24702815897295, 110.09504286251827, 110.88247496253028, 111.22266589063345, 114.22933827567675, 114.34720200116151, 114.40029124805942, 116.95907921272364, 118.66536602537902, 121.77908857852036, 123.02344399448253, 123.45588439614355, 124.79667519635683, 125.68280206091374, 126.31545378544094, 127.80167194960943, 128.66011812880126, 130.07894299917109, 130.2453043909982, 130.82178520350709, 130.93351727522435, 132.12980226195313, 135.1278661269161, 135.89134019187065, 136.05281821724026, 137.09562013544081, 138.08602993221629, 138.29662117536961, 138.57459362095966, 138.65379808220655, 139.18816679469646, 139.71374897690129, 140.85355198347366, 142.55728341685528, 144.15907047465487, 145.30558141424481, 146.38570511541872, 148.30813553612106, 149.93759881088113, 150.1971785632455, 150.39212670000325, 150.72344065491609, 151.81960595754751, 152.69828050972552, 154.45465183792331, 155.78089940192893, 157.03473465844087, 157.38994119671824, 160.19063659254394, 160.42455600935941, 160.63029127925878, 162.36823972591111, 162.85706536830176, 164.27684705309764, 164.33309170474968, 165.28490302192537, 165.67483583503889, 166.8620831515093, 167.18558042178097, 167.51880496553241, 168.02026772773948, 168.1257176778735, 169.36906707802316, 172.68604190719194, 174.23420721577381, 174.46714973212138, 175.13245591386283, 176.24242822188529, 176.50669388959855, 176.81736408607077, 179.94741082166931, 180.03554286991613, 180.76498569886078, 182.09852309684356, 182.75731870267262, 184.04445091530343, 184.77281365154477, 187.48959466348711, 191.72632754232416, 191.95549043790089, 192.01948797744973, 193.11578879538439, 193.17474247984435, 193.82725121890675, 195.80270183926314, 195.83444916016165, 198.01595835851074, 198.76337684884894, 198.83098894926502, 199.04197650824372, 199.21160086117627, 200.09906320809759, 201.93910515396718, 203.54608803539989, 203.98899640589022, 205.41231740838356, 205.56776502495538, 207.08566684994614, 210.66781517537885, 211.78825343055701, 211.87107395467436, 212.6838504388524, 215.2628621671586, 216.14224381015001, 216.77446654859628, 217.72912333688541, 218.13247444571411, 218.79182465052423, 219.29682166785227, 221.00452072550294, 222.45542081693168, 223.67628744091235, 224.47173947041546, 225.42561761028395, 226.42347229661931, 226.53488264310081, 227.05094468495278, 227.51361328150867, 228.44543217607014, 228.8346302058282, 229.61084457716771, 230.57138914631409, 230.69294522934473, 233.34583884487128, 234.94392041907764, 235.22399473208523, 235.33119291216684, 235.63613589407379, 235.79385400932549, 236.0977761870318, 237.32489328671355, 237.51222330467371, 239.58574425951446, 240.52451215848592, 240.7953196160025, 241.40416389887048, 243.09725349652032, 243.31631033365286, 243.79749218039396, 244.43982853916827, 246.21290572755188, 247.20452790590235, 249.21024153240003, 249.79335451329897, 252.32566386904193, 253.16591834360585, 253.4171406905088, 253.69111254044867, 255.20108181842789, 255.55857701968532, 255.58287373821483, 255.88213106184256, 256.84307288302455, 257.19766436103214, 257.56120450949629, 258.99727733476175, 259.52775269990252, 260.92879120435754, 266.39926287913102, 267.52824500739843, 269.63265065566264, 269.89631065828678, 270.02678932209966, 271.67406363059951, 272.99630760749477, 273.40829677627806, 273.57010001004039, 275.02090538758176, 275.58556031162948, 275.70894399972804, 276.23743121479464, 277.1672087786942, 278.47416899583754, 278.56824488262646, 280.49704106414487, 281.79386309780108, 282.10780283332184, 284.66869142102792, 287.23420919154228, 287.55396629753596, 288.29053740203125, 291.83453553328468, 292.7741223083803, 293.20615117702937, 294.27708762558711, 294.68950203309845, 295.03248098008464, 297.22567233730069, 297.53056843659459, 297.86102577825488, 298.94086470006147, 300.48606153952056, 301.00491433211323, 302.60651474005351, 302.74773398863431, 303.52565909249353, 304.7086422419913, 304.85676659802789, 305.0573644378477, 305.38356486714707, 307.93765425068426, 308.51565163764536, 308.85531772839903, 309.22868926405414, 310.56158130175601, 310.7635804999565, 310.79037649468995, 311.83111920339979, 312.35199983749169, 312.44188714258263, 313.00340336276446, 313.84526952766009, 314.22050820135615, 314.51970269362727, 315.56646925073323, 315.75790095603105, 318.78920117828198, 319.16566749555426, 322.27793984875871, 323.09294872561657, 323.62007843125031, 323.64847099614178, 324.04036339054045, 325.29622837861547, 325.51312946356785, 325.67796394068068, 325.77455065653481, 325.93129323534731, 326.83906018503313, 327.27267107774412, 327.55763874709692, 329.50359026094333, 329.85837584195804, 331.38346402329091, 335.87869214727709, 336.54550205994423, 339.45687038785456, 340.59773559342187, 340.66628748514376, 341.00599069425482, 341.05741372136799, 341.29406724494066, 341.74722390038227, 343.55122393690027, 344.70193642930667, 347.18104527822419, 348.27961146809156, 350.33454973564687, 350.7510691148816, 352.62295841386685, 353.13173975615382, 353.81165716840218, 355.62572803176079, 355.71671961279566, 355.77210204854271, 357.48052247093386, 357.57509991927691, 361.4791066904707, 361.52173749409184, 362.10432657002093, 362.78216559827717, 365.10439442524097, 365.29339924417576, 368.51787492227652, 369.51514642581128, 370.57643788009204, 372.59706967299434, 374.92810869533423, 377.17679180243471, 377.45867658844321, 377.54435316855415, 379.06203675273787, 381.54366010421478, 381.59199847224266, 382.4874606168392, 382.69817456104823, 383.00957504458057, 383.38463875997621, 383.70579100327319, 385.11112568024072, 385.86502233497993, 386.28613284697377, 387.48755579097065, 388.08306243705124, 388.15678579444409, 389.52978843511568, 390.07049966943174, 390.99745870524873, 391.11116535548808, 391.94737175585908, 392.96690730652932, 393.37399170223148, 394.38915972027786, 396.38770380078705, 396.55453240860606, 396.93436898598378, 397.98098989344129, 400.65087782018213, 401.99674358057723, 402.26940731131043, 402.6880722152377, 404.69173634351989, 405.6406744828289, 407.33238816796029, 407.43190605205086, 407.72278780814753, 409.14421884243939, 410.35741640518319, 411.08424783382117, 411.36872931549402, 411.42465519443914, 411.77492217162751, 412.13772638985398, 413.19444568296427, 414.57196241732947, 414.86603140310768, 415.94702769058836, 416.15260488099005, 417.8667483253875, 421.77646955084538, 423.75432976643572, 424.79927366425488, 425.22292913095413, 426.49441772813304, 426.85037663990329, 427.07301199188231, 430.5821389783045, 430.72744794724417, 430.83581217488921, 431.33344644498175, 431.52468350400602, 431.77216573386647, 433.79993575372038, 434.3518513663368, 435.51049538949025, 437.79026822208567, 438.04742254928647, 440.28181696537712, 441.53571043779516, 442.69198518885685, 443.27656493518003, 443.54438264850558, 444.11474102951763, 444.81295558894203, 445.3137389431638, 445.37442381707814, 446.42957762460668, 447.58175708503717, 448.41807583381313, 448.77891781232302, 448.86818273244108, 449.35219693092785, 449.74738749401297, 450.02133361219097, 450.14718879467296, 450.44204462413427, 451.73538195211211, 452.32771564394278, 453.26403190746703, 454.39748024904384, 454.68224764805194, 456.38690141454913, 457.2757876970216, 458.94116723014247, 459.23719595918686, 459.61370047889335, 460.90070849668047, 464.36173353157557, 465.26723455722868, 465.86345270617215, 466.60033515277951, 467.65228133493008, 468.12417940051728, 470.10464779437194, 470.13413970720143, 470.9458560213547, 471.59059018862422, 471.85294958229349, 472.05757933380931, 472.08830295325095, 472.99675881491396, 474.65777289323074, 475.01643415680002, 475.93499417395378, 476.14602161970828, 476.683396911106, 477.32116272726228, 477.73036882687757, 478.18234110672086, 479.16236183029775, 481.95365869452525, 482.15368385954156, 482.78819736478266, 485.16583212016587, 485.41196368432247, 485.4655652949308, 490.66972430638538, 491.83922207171838, 493.07053747085558, 493.59908235868932, 494.35711588885437, 494.93567367478164, 495.36201421337717, 495.71059815711129, 500.89653068481431, 501.75374896769296, 502.37975835951005, 502.72318762101685, 503.70987700834672, 506.45099013932349, 506.54955129231246, 507.51456175138026, 507.99779728769482, 509.65316707095172, 510.48742268027553, 511.53213253881023, 512.65263101930725, 513.54863438124323, 515.45823532469581, 515.55472218044656, 516.72858335757132, 517.36556337955426, 517.85440429409118, 518.76706831406989, 519.82558506582916, 523.87798355682628, 524.0144283721869, 524.28965280021896, 525.13710798121315, 525.56220934274427, 525.91302844134611, 526.79787697809832, 526.98966899623611, 529.56951195641034, 530.36614317750684, 531.6483303974627, 534.57659286693593, 538.48641475770341, 540.1050062616298, 541.45794892226445, 541.69781215811588, 543.85510946892782, 545.38888309144625, 545.87158231659953, 545.998131178883, 546.80895682374467, 547.12709152638513, 549.54374356053518, 549.71900632354834, 550.49649952559639, 550.66998805756339, 552.72784352782378, 553.79344162177983, 554.2866287826929, 557.87525217261918, 558.5065202218409, 559.56187148598667, 560.94209139486975, 562.72065484084362, 562.74680098047952, 566.03709626331852, 566.3286333929957, 568.91952529007165, 570.67997843063188, 571.32563283155787, 571.54768366678195, 571.85404653102626, 572.94377449702563, 573.25734532334513, 573.90290203482823, 574.17054646932468, 575.07210649569208, 576.07837585705795, 576.10542613624671, 577.35183220465672, 580.14012545489379, 582.07921481023504, 585.4066268241512, 587.31949787530732, 589.72060714612962, 590.07394732178034, 591.3496178084074, 593.0645061002682, 595.01171294834194, 595.37850813825048, 596.82650119876905, 597.87322644305004, 597.92405623262323, 599.39482157896919, 600.61134739041574, 603.38579328822789, 604.18921453895416, 604.87526283000295, 605.4903380424704, 606.23950637394432, 606.59736739904167, 606.80450836815965, 607.7704862112646, 608.4276072143266, 609.24556776227951, 611.47912345376062, 613.40730760254394, 613.90618131221458, 616.72849487619442, 616.85724648249254, 617.3670612261634, 619.71005915412445, 621.36453801415996, 622.91188816813712, 624.16084402334684, 625.06970901842874, 628.35383360972787, 630.18584183915311, 630.74220866189751, 632.92203750061003, 633.4682395891549, 635.11636622541653, 636.69204819595382, 636.82226158314927, 637.85703733173477, 639.01777012177592, 639.61954792395682, 641.41583620589142, 642.66205036980057, 643.00568435662672, 643.14013746620219, 647.58185154787225, 649.19634617710517, 650.06239432682298, 651.44663599037654, 651.70422202737211, 652.26357486430391, 655.60900446285223, 656.03536138727884, 656.41404609871324, 656.81531231085057, 658.26332801854335, 659.80554105929014, 660.72408248366673, 662.03888384653408, 662.26616206726158, 662.31522112276741, 662.4957830739271, 662.79686504884751, 663.074904056224, 663.67662247707926, 663.96292652722229, 664.83481793377757, 666.56176441293792, 666.90035435935158, 667.38293073267107, 669.73677144802866, 669.95587001010574, 670.91027588061729, 672.3803152135855, 673.7119179457361, 673.9035833287578, 674.62614037293611, 675.48598204271264, 675.7950342920484, 677.23904177394797, 681.69975042709939, 684.42790945914146, 685.05855023935078, 685.22628276199703, 685.7290569614488, 687.46591279175357, 687.50586141311851, 688.01199990502892, 689.3220288232452, 689.72146108503262, 690.29584369318673, 691.05227236954806, 691.24784640383587, 692.60920213619124, 692.95579068974212, 696.85025485098879, 697.42288226255016, 697.68892914534433, 697.89835411674756, 699.64644164100434, 701.26988479450176, 703.1146514723273, 707.61727231825307, 709.56149274156076, 710.03484321952794, 710.37111721746862, 711.09348715618762, 711.37966378575584, 711.67894073085836, 711.73669564381282, 712.26423080737413, 712.7730209617697, 712.94235503718676, 713.49749382249286, 713.669484555552, 713.77206673811816, 716.89509621538116, 719.7146625663064, 720.35665144441361, 722.09985322224645, 722.48248184592717, 725.96828772265894, 727.71767523588255, 728.46760839559386, 730.55537317117921, 731.14771157645919, 735.97540793090627, 736.33731457751514, 737.43869706072906, 738.76688257900173, 739.16448472344064, 740.65654755671608, 741.94706868749654, 743.83664809691084, 747.7560255922092, 748.50495645838362, 749.60643524954321, 750.62756146500305, 750.81232925371853, 754.37360001562047, 755.27724142953605, 756.91223865393795, 758.81412482860071, 760.10907235756611, 760.30372355896327, 760.79214882148813, 761.36177048771174, 763.48745222180662, 765.39583019441477, 766.10558577967947, 766.37527595392783, 766.45605010397901, 768.527892569095, 770.12690868815037, 771.32420110296107, 772.05325280281261, 772.25111995046041, 772.40059471382119, 772.6977298785805, 773.54531437100229, 773.63450673703733, 777.53577838597039, 777.5706548078889, 777.68997754689372, 779.06415321455097, 779.53094218467811, 780.29302067968604, 781.06266305831525, 781.37466052787624, 781.59830692502544, 781.67588880953178, 782.9708283407823, 784.70110811460665, 786.05351455676316, 786.10419455588976, 786.84019065323537, 788.6961916737954, 788.93489538586323, 789.10731697179267, 789.21536532308426, 789.54973918389044, 789.74607711113356, 789.87985667350551, 790.64033988939593, 791.17079087907894, 791.38988222052126, 791.87306535787957, 791.90288242513691, 793.4978931120977, 793.5487944880249, 793.75927991651213, 794.30008573194687, 795.55279393214266, 796.17301139405504, 796.78691963735662, 796.90594780495985, 798.36849306511772, 800.67163776422888, 802.36673969116896, 804.4122939363657, 805.11772927748211, 805.22858856509845, 806.52518043217049, 806.91484484335899, 809.81185930917832, 809.91500212899325, 810.66251311145481, 810.85698384897375, 812.66956371935942, 812.75722327184417, 813.24255148658108, 813.7951422585603, 814.7606285746939, 814.78384458134303, 814.94407354597388, 815.04510589631434, 815.07932182477043, 815.75937792868706, 817.68492619859603, 817.79452319633606, 817.97258683782059, 818.14291086577236, 818.5257285773846, 818.64884522178386, 820.01995603056207, 820.39030253639794, 821.56365908315513, 821.86117879536926, 822.72961639464279, 822.89713368568744, 824.64363682211228, 825.08991520931738, 827.63916849447878, 827.97343153283214, 828.9778935514679, 829.0558444003367, 831.3825439132894, 833.48057284392132, 833.50673137141939, 834.82155899902921, 835.4486209480026, 836.47045686417641, 837.47384298539237, 838.10199927321923, 838.34036969144245, 839.92902392600911, 840.6010309436848, 842.16476264465655, 842.82819489897349, 843.24469890565183, 845.36770314150556, 846.41343328543428, 846.85852578752792, 847.14715546292337, 848.42662050427771, 849.32803429259752, 851.72346246806887, 851.9697056136298, 855.30251122482662, 855.57002166451173, 856.60714621248496, 856.74443114260555, 859.84064830779744, 859.93535068593587, 861.25020703651478, 862.98894141460062, 863.66360998069365, 864.22175355125546, 866.80553452842571, 867.1081329937582, 867.9735060459866, 868.49593617193329, 869.42127384509286, 870.36827582755041, 870.73320382369764, 871.30875745851063, 873.11900651541964, 876.13141461789837, 877.15974233880138, 877.42781221179882, 877.64178443483024, 878.34140720060475, 878.77824337739912, 880.1010689422119, 880.98269693734596, 881.08321014971364, 881.25940701754155, 882.05240352361227, 882.97344792928584, 883.1195224226351, 885.11339620883291, 885.85777492126465, 886.27863321296365, 886.84846605891255, 887.64526580280585, 888.20881898374466, 889.13098880955147, 890.46921017922318, 890.86300425503987, 891.46723412402173, 891.95720113946186, 892.59752985596424, 893.12373785545014, 893.43390321751633, 893.46277497058463, 894.06774157538246, 897.58591630077535, 900.11297884108137, 900.31685225845604, 900.5877097805535, 901.63789572365022, 901.90162018388128, 902.21928084877493, 903.18495487299356, 905.37864932435355, 908.31953237649145, 909.65404758673787, 910.34315857185368, 910.46680366666294, 910.76041013802364, 912.16277076805795, 912.67291279122855, 913.4662925826126, 916.1823481601665, 917.69224659222868, 917.89907839091688, 918.0040272204493, 919.26038885117919, 919.36141931915563, 924.88878650405763, 925.87550965770777, 926.60251957890421, 927.37977538941527, 928.58401193333054, 930.05922477664342, 930.27824456202893, 930.41488231148355, 930.99984901781704, 931.61361901319276, 932.45570791768569, 932.81450683338392, 934.92843939576596, 936.98895462990447, 941.41404934827278, 942.16318384113833, 942.44655386043689, 943.50981130986872, 944.03584903843887, 945.1737901718152, 946.05625208173979, 947.19463187101962, 947.4916014190153, 947.67817467989528, 947.80995741774973, 948.77232586365244, 948.88890228698267, 950.51783603936042, 951.59680988375169, 952.12222325230584, 953.7302788139167, 954.41532256024789, 956.63275220629021, 957.56875298080854, 957.95855394658122, 959.2275842112831, 961.08015068419638, 962.38037897605182, 962.90404315094361, 963.93833901439302, 964.22105838757489, 964.53371995514044, 966.88116687656384, 967.09828744545825, 967.15943488524647, 968.74900872211822, 969.20608152898342, 971.214164214481, 972.2033524483179, 972.67359438846302, 973.97794861566854, 975.65114460811128, 976.2251690324224, 976.29372407486289, 976.7688278100909, 977.22102074540032, 978.83633808339471, 978.88132303881162, 979.17634198025905, 979.22136573705689, 979.32830372944147, 980.52169833716277, 982.25693915570309, 982.52506427649826, 982.70531177993485, 983.60671032730909, 984.30549932450674, 986.22256449871134, 986.24390398405626, 987.78149450595765, 987.81410418945097, 988.47498548243459, 988.82003194593813, 990.18104106377666, 990.46848428640556, 991.52974005702436, 991.72626742388786, 992.03006766504438, 995.09466091227512, 995.18164960338879, 995.2510615820928, 995.28302224296317, 996.61044181866828, 996.98149770297925, 998.14014939063873, 1001.0654254898486]),array([98.96606386357341, 99.832203786273737, 102.18846734289795, 102.95430079896175, 104.56735783846328, 105.87015631780837, 106.40237799432511, 108.91845367805406, 109.44017387707925, 109.55493845624949, 110.92073403572007, 111.42422373305743, 111.5864842759873, 112.20330381267433, 112.66487574210313, 114.29125332336942, 115.17863616075358, 116.39874534200237, 118.87051306463066, 123.41183795396061, 124.52202246805199, 126.40295254714304, 127.10195332913661, 128.00366184173694, 128.84949090778898, 130.72543926196215, 131.48104868711829, 133.77126150910803, 134.01060582252634, 134.31775626372499, 134.57411659655853, 134.61851812255492, 135.19244260693424, 135.43320263906421, 137.04976175569786, 137.14435505783371, 140.21488569712952, 141.37548540739871, 141.45532803710142, 142.08321305931096, 142.48730553166993, 143.51590967064021, 144.20381456299674, 144.63712631016793, 146.7763358858185, 146.84350530216821, 147.13512564474701, 148.33476266018346, 148.48786761076371, 149.47946299911555, 149.81693592347318, 149.84992579874049, 150.96314409292486, 152.54304689467617, 155.17085709429921, 156.92018034016402, 158.28440135804254, 158.77449938511592, 158.82288358016834, 159.9602526121279, 160.39758846343167, 161.59738926835507, 161.85507137900316, 163.49705883426776, 164.67816657430876, 165.72859792088113, 165.79288039422698, 173.27750744100607, 173.66436341418785, 174.62508664426653, 174.89255417117502, 175.38675782366755, 175.45320991792727, 176.25267062944874, 177.75887724408594, 178.62076267124527, 179.09983169481868, 180.12217523565539, 181.08875410973994, 181.11682106854613, 181.33321455514275, 183.77524755270892, 186.12384538718663, 188.16851937742018, 188.32814085409396, 188.75737300408431, 189.14654380410013, 189.18663792674622, 190.0751389978154, 190.14666785924004, 191.14420417832415, 192.8855842387639, 193.56818158303068, 194.26135396566167, 194.71293738808725, 194.96853276265196, 196.06157637517569, 197.16467314925472, 197.50097505695311, 198.2114451140703, 198.92770065291796, 200.08019836749486, 201.52057628166085, 202.32278867909815, 202.44885068154056, 203.46857374281984, 204.09088630811439, 204.35289042598291, 206.41915597364729, 206.47418225211686, 206.53794801124684, 207.92356847847324, 210.51886006621586, 211.23073520321608, 211.80774884790998, 212.18422802140256, 212.77471360957739, 213.45548246585852, 218.41003562215531, 218.46497316734087, 218.61773276048135, 218.97069510777376, 219.57281998684678, 220.01811200994163, 220.46388952764076, 220.56960648181453, 222.88172518546449, 223.36095427235887, 224.88023910464929, 225.6371020783549, 226.70960478578132, 227.50780839953961, 227.54454398689393, 227.76428359015904, 228.89278081187655, 230.85780858902993, 231.50255285285689, 231.81065489710252, 233.88278828125678, 234.6679639988549, 235.94393200875385, 237.15577347451364, 237.36222787322532, 240.4381686601827, 240.57038853185443, 240.95179522625202, 241.71796428448474, 243.41864420016759, 248.39376598881353, 249.81913653968115, 250.86485268633086, 251.52601083227412, 251.85708082440928, 252.19928641221688, 253.12920679074324, 254.21073049822297, 255.64287822814455, 255.70090742080373, 257.27615117844448, 257.33846974740379, 257.57133165761007, 257.94282569254568, 259.00974686422916, 265.02210988308923, 266.54331910474821, 266.6416001198067, 268.29010786485384, 269.3885811684433, 269.69532474839122, 270.42508909772044, 270.52901644049263, 272.73422791785435, 273.15773129092798, 273.36997626136969, 274.64820771683458, 277.80652991339753, 277.87177346611151, 278.2439143167669, 282.58608545807243, 283.4232260715678, 283.62326307947944, 283.78506800224989, 286.35940699691866, 286.6499938773182, 287.05186973943478, 287.63027035017205, 289.17818654617167, 290.72701929723519, 290.8587186161983, 291.36968288911822, 292.29467217786157, 292.37519461973795, 293.84639078681573, 295.10381752779466, 295.18005758685251, 296.21883389573094, 297.42214058397354, 297.93070527431047, 299.22428647108035, 300.46235509185578, 300.72805538507475, 301.16983092498998, 302.20377150617082, 302.33333456329422, 303.02154933216428, 304.34475484408267, 304.38482949411616, 304.89018481234228, 304.91969098130306, 306.80219112702167, 307.38760158509058, 308.16918974765707, 309.26074221098526, 310.94319253665748, 312.30826620963666, 312.96598813969308, 313.76471553555456, 313.93132101909481, 313.99575024383938, 314.54069163796618, 315.08306348992528, 316.12112600624715, 318.75091117085123, 322.59967232840211, 323.10424870145715, 323.6849398808435, 324.02411755158636, 325.71909388773639, 326.18501250640179, 326.73536330341977, 327.85555133725819, 328.0916184558638, 328.77978840098893, 329.06801726224325, 330.0562875606231, 331.27672068588419, 332.32350655111566, 333.76254122180865, 334.45314395251114, 334.76415255419249, 335.52217242751107, 336.27106952561934, 336.78350842001527, 337.25637750605932, 337.66349224027368, 337.83479879114566, 339.26735020193422, 340.77806917018171, 343.5934351680674, 347.4913517949409, 349.08955463856756, 349.25650510511684, 349.346662320306, 350.6674086193305, 350.76808197815075, 351.7696926722686, 353.03484185420604, 353.43559564649394, 354.80944568662647, 355.15569055548917, 355.67378138256936, 356.46952958512196, 356.73109493862597, 357.98339953962358, 358.40486793794281, 360.3917662252033, 364.85877238729671, 365.11690215444338, 365.20858133685715, 366.14813263535234, 366.54509527581973, 370.54689638367904, 374.43374503981863, 375.57979784626258, 375.96866426612507, 376.30735816894526, 376.95919929556021, 380.14560845706393, 381.13966988037123, 382.54914987212209, 382.78787241976841, 383.13247353491658, 384.53775059791604, 388.01323630260316, 388.66443039383063, 391.7220427034685, 392.26534843583954, 393.02597596832851, 394.29300511523974, 395.19521567413113, 395.39733351944642, 395.68242404134594, 396.69827050219163, 398.86180585769398, 399.16742802579415, 399.78870760398951, 402.69062339870209, 402.96998467062087, 403.55511112682922, 407.89167913984932, 408.91317886858877, 410.13111581788388, 410.57582264815977, 411.33435737058619, 411.39308887441314, 413.27434690217513, 416.99371113040479, 417.92533099387481, 419.35525408285014, 420.57958201919035, 421.40714441826827, 422.23610231600895, 422.42189694854386, 424.97705659367517, 425.63427151158123, 426.44999332429506, 427.25480885469102, 427.33598329390969, 428.02874777872779, 428.47716476683678, 428.5298760502929, 431.24417979990966, 434.67564242672904, 435.45501549016848, 436.26103855292297, 436.8574669867026, 437.07217952545159, 437.12376021712686, 437.46060081659658, 442.53376347950018, 444.4896923511069, 446.42103934774826, 447.21820521970994, 450.57865133915647, 450.99745918460235, 452.4480292084487, 453.43483974486645, 453.7453293567126, 456.73017076881632, 458.24709537151404, 459.02960098513296, 460.41937445682322, 460.68978353018957, 460.9521208795569, 463.35827497943751, 464.77691245047964, 465.36792689030386, 465.89150072669446, 466.17259579646884, 466.50929507074954, 466.5862366794384, 467.61802672641329, 467.65393789370773, 467.79102991824004, 467.91225063443454, 469.54488097557754, 471.08940499008577, 472.14733480952231, 472.42402610751998, 477.23948002704293, 477.55888310716733, 481.12327209323252, 482.06806439639729, 482.35248393439804, 482.47981192501629, 482.80660655382769, 485.14038709971879, 486.63571821670399, 487.03822508711011, 488.08101983624118, 490.54290239635191, 492.21956059976492, 493.84617691982811, 494.07581997083685, 497.52749226267287, 500.13420182341218, 502.25200678797165, 502.96790332586465, 503.58213192404378, 503.62484970053583, 503.68118955992588, 503.94900502154132, 504.29044565237575, 505.61350830075639, 506.44520466907386, 507.75896851137594, 508.30601537408501, 510.60619806025107, 512.2466205351077, 512.44870225650163, 512.933705870533, 513.35744313002988, 514.64061091856559, 514.79954403195711, 515.82268020199137, 515.97063308861891, 516.06075628946087, 516.76953327599938, 521.26091024404195, 521.88601182940261, 524.37948107538261, 525.84501113478211, 526.28221202029351, 527.16554135991964, 527.86695878876276, 529.92482323607442, 531.85597638779677, 534.18292355520168, 534.49194087121202, 539.22792304653365, 539.5719635649391, 542.8182982920041, 544.01548905545371, 546.96653235748477, 547.45832589368092, 547.81807472150456, 549.54183007600511, 549.89804574896698, 550.16803333666689, 550.80031669977711, 552.07290007633583, 553.11379289360173, 555.07846307444527, 556.56051236727001, 557.04140951732518, 558.96386657363382, 560.22211633092365, 562.22928772911962, 562.42714320525977, 566.55401461945883, 567.36024550609511, 568.1132374527815, 568.75632320405384, 569.30514742589367, 570.72876190492923, 570.84542807890386, 573.5467085741127, 574.25467267735542, 574.83665870923494, 577.10396094578596, 577.83330658049522, 578.86472980477038, 579.23553682218449, 580.63335598826086, 581.53063031517672, 581.64099223323046, 581.75962640403498, 582.86883707624543, 583.07704555821965, 583.33121740598176, 583.39173954631531, 583.52664437291378, 584.68319405975888, 584.95690520433516, 586.79798771836602, 588.48043590938141, 588.71920402378214, 589.25538081557022, 592.18607553543836, 592.4137663729864, 593.04088600527734, 594.33212228255934, 595.03169624604652, 596.32856279829639, 596.82251603590475, 597.7994830170262, 598.33725872818741, 600.481329390459, 600.6043808925275, 600.65860789102237, 600.92597940204462, 601.39495285391911, 604.6099660651829, 604.90027079384913, 607.22024115405327, 608.22267734260333, 608.42065081306293, 608.87088368163006, 609.05910800716333, 610.31901351200065, 612.16495048050979, 612.71740625347036, 615.63477870617169, 615.85315651904489, 617.2462401871295, 617.27323206469555, 618.93981570960113, 619.79057439317057, 620.21825637115637, 620.79182822822497, 621.50392230644093, 622.49206019963856, 622.76910781016113, 624.67060424562931, 626.46073253321094, 626.82776869147688, 627.47985673147105, 627.73393211376163, 628.80143669819552, 628.83945173868631, 630.75838369362248, 630.94017319410375, 634.90675421431843, 635.44316957219701, 635.65641369769764, 639.12301161863115, 639.71539411643266, 641.48521784722413, 641.60463202601181, 641.81276486006902, 642.99515698873859, 643.34908565309104, 644.68231477446534, 645.51043501381594, 647.24000215368562, 647.29203857764139, 649.39585947397143, 650.13661474244884, 650.26349475905602, 651.12927738280348, 652.02335691751932, 652.53495438722734, 653.22896571682077, 653.33015005476125, 653.88152288985907, 655.85740834810292, 656.7218276508579, 657.18440177978312, 657.28378445016438, 658.24960721257446, 658.28358824056954, 658.71750916886276, 660.92563216984593, 665.31554010352727, 666.1085839609018, 668.59069811073573, 669.66764747042726, 671.83845562352144, 672.0827878972633, 672.76962949121537, 673.83407161821458, 674.10456816989085, 676.2152627317148, 676.77469258583415, 677.00189280443158, 677.47755225260426, 678.1294029952146, 679.39318906464871, 680.7673419848951, 681.05574423761675, 681.24686534622299, 682.22278666163481, 682.95821407870176, 683.23640304920434, 684.94946863008624, 687.77769601176317, 690.21897550634674, 691.2016331859935, 693.10314986104652, 693.12456325930918, 695.37085213222019, 695.44616011461892, 696.52898029018934, 698.54203903477139, 698.64119366240323, 703.77283906472394, 706.47155257562611, 706.69410076382678, 707.50641048001091, 707.9781529563727, 708.22024374590706, 708.4061961618562, 708.83517723933687, 711.41705380177314, 711.7799951740476, 712.1391530318657, 712.92647586917633, 713.00894611174795, 714.49564896859124, 714.87690643955909, 718.73766816419663, 719.06822711773691, 720.43546761399341, 720.83206675151951, 721.21382100646463, 721.7693584791964, 723.00574738942873, 723.37398328511313, 723.6954334828697, 723.84708763884589, 725.45682843647751, 725.74456036501863, 726.07229039821038, 731.81900832239921, 731.90419121931791, 732.01207126865313, 732.25644135348205, 733.66446008423509, 734.09185033251254, 734.17205307046277, 734.29133392740698, 735.34949061428256, 736.07630755333173, 737.43875206997814, 737.80947453382498, 738.07243138806939, 738.28322682912767, 740.34574658802194, 740.39291792963047, 740.51590589431669, 742.62581890906381, 743.62853423698425, 744.4325770870721, 747.75702273362981, 748.68484511232248, 749.51582203210228, 751.64836009456735, 751.75056966377974, 752.36480515515052, 752.86677943345546, 753.09320333751884, 754.18060950338327, 755.01727112291303, 756.68607331412215, 758.62951406727393, 759.30673175822562, 760.31275805668588, 762.94116248605212, 763.21905242837431, 765.28764975227386, 765.52862126386628, 765.7094688259001, 768.83059849939957, 768.95837854982381, 772.15688564923414, 775.04484897581779, 778.71016333871944, 779.32776322551308, 780.31470793961796, 781.41422662075911, 784.11241635473959, 784.8679154417224, 786.45390761230158, 787.05510571263198, 787.35795152458138, 788.68618745647689, 790.74099254558075, 791.22803643053999, 792.26024530489406, 792.52751266643213, 793.64652417054651, 795.48697527519505, 795.7993968955858, 795.89758453561751, 796.10110778105854, 797.1032816651159, 798.76225346961269, 799.15981625599568, 799.87870463420973, 800.48994781156807, 801.97475413668303, 802.01354717297068, 803.005302540608, 806.74981302893855, 807.47893616993122, 809.8796492847531, 810.03360076952902, 811.08461302909018, 811.33625431671271, 811.65319165263531, 815.2934807314092, 816.06415658714934, 817.35268413885058, 821.73018492997664, 823.08041376755864, 823.76513288161732, 824.37677619716692, 825.36979883872129, 825.95823185196662, 826.92051129835272, 827.10122573108424, 828.17997870471061, 829.75663158438022, 830.30657633782653, 832.42592317819731, 834.37129998249202, 835.29570290069523, 836.50225651715596, 837.45759347508192, 838.13980608530164, 839.52638011402507, 839.81045615570042, 841.67645359684082, 841.963583120826, 843.17374886393713, 843.20342078771205, 843.72925939645961, 844.02305709624636, 844.21533285750706, 844.95899610698461, 846.54299042513207, 846.62563899429347, 847.01579309525869, 852.05152267461722, 854.2612366610781, 855.5272794532043, 857.72804678150817, 858.21454311358912, 858.36008600570801, 858.68020400688658, 859.33611832669226, 860.75655573545168, 861.64146994006001, 863.27212597781147, 863.62490180381189, 864.53317028086292, 866.12651421360783, 866.64969562878309, 869.79878829857216, 870.08478635554741, 871.00128402206803, 871.14852111888922, 873.36828624895793, 873.58639058731455, 875.089733273874, 875.78733800054647, 876.43815990445296, 877.80330611263639, 878.13542232055477, 878.82952393214487, 879.76753022212733, 880.34123988809768, 883.08662379975078, 883.81846485037909, 886.05146471492446, 886.175470075725, 887.32975707679441, 887.54915839178011, 887.81320120274847, 888.41588248656251, 892.7007751817888, 893.16423379023797, 893.337123733917, 894.25444044531901, 894.79248182679146, 895.96718055292331, 896.45445757702896, 897.54910137006357, 897.95108534249709, 898.28477984630786, 900.45410143125548, 900.65489952165728, 901.25196104167242, 905.3215251085818, 905.96116328188532, 908.32605679899677, 908.96850005661372, 910.05146245025912, 910.51339958133462, 911.43206869991184, 912.15066585279067, 912.94152266055437, 914.69956380470114, 916.4912270825721, 918.17685078582849, 918.21564840238443, 919.77079713363139, 920.14451088322426, 921.47153870721274, 923.02084909406631, 923.39024687595838, 924.63830217653697, 925.54479273543689, 927.88785687898246, 928.19512053742312, 931.46190191310779, 931.68377495579875, 931.7059719979984, 932.05318322634071, 932.66173967402574, 933.43268844365446, 933.48601684888786, 934.08416535614413, 934.23186657608619, 934.3426966194794, 934.75158728046313, 936.35317821108356, 937.16192913993268, 937.26471958613388, 937.52313652722739, 938.51321304336875, 938.53407891741233, 938.59153925444207, 938.67463394976176, 938.94281175039589, 939.52763520605606, 942.8529618082872, 943.07990103057818, 945.59617386756213, 945.95499973796427, 945.99905628484942, 946.30083871300144, 948.13320578632988, 950.87358656788115, 951.31183945030182, 952.39009728392148, 953.26410904004388, 954.00348933685666, 954.48971281542708, 954.60142225920583, 957.47114210508482, 958.6283188210499, 958.83397483984618, 959.31103434669524, 960.72525275054136, 962.16901652737909, 962.73387250617293, 964.42221606688418, 964.78694681723653, 965.16158604253962, 968.18201562682157, 969.95783917235269, 972.4129908774637, 974.99210554617855, 976.72918906335394, 978.13947289284476, 980.59508740300657, 982.41939444161619, 983.68433328882122, 983.98528302347665, 984.61120992113354, 985.39714116370556, 985.46768167282676, 986.78225704699423, 987.70104325504508, 989.70873823108491, 990.80151434542074, 990.83248761168397, 990.96235091709332, 991.49446322177255, 991.57683493020807, 992.11500522877918, 992.20827155021016, 992.99051998183154, 993.36579199831408, 994.79167094049194, 994.85944777272243, 996.04676093839669, 998.46654321885921, 999.46795093460082, 1001.329596426194]),array([78.932495820657806, 79.322685110381713, 79.478375431492339, 80.656436295534292, 80.886088705771186, 81.50247889069658, 83.395814920040053, 83.661486056422532, 84.432663613066055, 84.733647884271988, 84.937164200483025, 84.967193393946729, 87.022184655921976, 87.8120440290853, 88.319099346388981, 91.036767933152674, 93.170474693362792, 93.462953791226852, 95.029612712302949, 95.379330944221948, 97.402342856495196, 97.481110557228661, 97.514922787472869, 99.401797430936028, 100.80150689535105, 101.68342025246673, 103.34487195228742, 103.8275033511508, 104.66156540347525, 105.22779079496182, 105.78726122490072, 107.2036082475562, 107.79915690755392, 108.15232674450075, 111.38057997427224, 112.4563341049052, 114.09308877338825, 116.24072452801516, 116.78872176589525, 118.77413825183115, 118.98241418244187, 121.06764724731786, 121.93203995034659, 122.03863488728287, 122.59625686077246, 122.99555942428806, 124.26885091214093, 124.36186988161289, 124.76120121338931, 128.96272355234495, 129.86541090790175, 130.62641757302927, 130.81447579616369, 130.94859764159585, 132.4465471346418, 132.48868005213947, 132.51126717565552, 133.21684858725158, 136.86663024896708, 138.8979452852663, 139.3037537185742, 140.55882149989162, 140.71901025216914, 140.84275206514076, 142.02228680235606, 142.12161423798344, 144.16501776556916, 145.11273091245448, 145.64570708425268, 147.62796366747637, 147.87385786547338, 149.09495036891582, 149.54296697891002, 149.65424045690719, 149.98027942984262, 150.19186056084115, 150.92618207481468, 151.42217883152847, 152.08434588317252, 152.86953043478465, 153.75591306946731, 155.61705006424455, 155.74012303939594, 157.51187841987752, 161.09704821469074, 162.07348259351139, 163.18165440053252, 164.3035061521343, 165.3508741683558, 166.00017212256728, 168.25393949724716, 169.57850291583628, 174.28798066572188, 175.25884156872601, 176.50024254779629, 178.650865310684, 178.91756799269433, 179.23051731838876, 179.91457981621133, 180.22911445426229, 182.34395172293972, 183.6229637163807, 183.70379610294256, 183.900719407613, 184.4408358771839, 184.51746294659804, 185.02918505432538, 185.07539977325791, 189.2126908519221, 190.08226311187903, 192.43475488696126, 192.66133189601115, 193.13977936342732, 195.02192722001448, 195.11185776979534, 195.48308115013137, 197.28661564218285, 198.02209306242023, 198.60340311403218, 199.961550181528, 200.43580120761752, 202.63535374162421, 203.11065290746947, 203.84311194935418, 205.21763503553936, 206.13840521232282, 207.27109511375727, 208.40263574333545, 208.61195601531239, 209.73717415548015, 209.90672524142821, 210.21477715876821, 213.78158463314691, 214.16700015746778, 215.0613450910696, 215.57388776621451, 215.77183702514517, 217.71843818696826, 218.8936992459783, 219.96564642850083, 220.22720650130645, 221.85958875202121, 222.11195224025721, 223.68569323090531, 223.96544564476179, 224.12553354306726, 224.93743244508227, 226.26895113431314, 227.71400423160819, 228.6501042906774, 229.12468155469995, 230.37170205308018, 232.38382618544728, 235.07030059924887, 236.0689314195414, 237.29193488866363, 237.34032795503765, 239.13496174469404, 239.3064483767449, 239.77821111373234, 240.16229861601511, 240.84002503405247, 241.74629904216744, 241.83811544596125, 242.32320089684697, 243.33533027445293, 243.70147125652733, 244.89508090395901, 245.17807069149185, 245.88136869582357, 245.97392305856687, 246.03206711280347, 246.45823758887087, 246.58375449150861, 249.74321752964639, 251.5967089320842, 252.29073744295869, 252.81936585820557, 254.75078625372336, 254.82391065601323, 255.73246891052619, 256.5650869210649, 257.31470730267637, 257.71773014564519, 258.52124787200381, 261.95750026616167, 262.54862791899723, 263.13385992458103, 264.12851494571504, 264.71128974854031, 265.31853952379657, 265.39027748668576, 267.65354234374189, 267.78646270695941, 269.26114194098, 269.75041574046463, 271.80058017133524, 271.88945275946304, 272.31127240082873, 272.42906340985462, 272.63836658290268, 274.46148528582279, 277.8602942997847, 278.00315915059912, 278.30695602276444, 278.48941339961442, 278.94453358415655, 281.52486432434114, 281.61482378364872, 282.93874662826909, 283.65119333973558, 284.84151357787277, 285.17642894575357, 285.41432602558973, 285.57161818421451, 289.76970264286626, 289.8063993370863, 290.7506115647605, 291.21363012935524, 291.86322831287509, 292.95586880924139, 293.23322964372653, 294.42882376906658, 295.63308326307043, 296.15047130038351, 299.81928962911957, 301.60859659896954, 303.05041845110895, 305.46987656985027, 308.75994541068661, 310.15914322459906, 310.42666310496168, 310.76349241098558, 312.183913591791, 312.61432616768462, 312.75344616587819, 313.21219214460319, 315.0474142466681, 317.68122321315201, 318.88081529039022, 319.02045472381081, 319.61013880821707, 319.67381605748949, 321.44749898518194, 322.18929532348733, 324.15771209256349, 325.76369077240281, 326.43920538829275, 327.66504123876877, 327.91130201484395, 331.31440776088959, 332.47613005343311, 332.69882864231863, 333.62955491761414, 333.67861048410441, 334.52246049337299, 335.31243550965024, 335.53613458873764, 335.99182120383023, 336.21696077366732, 337.26983355252992, 337.37286175744919, 337.62166391060197, 338.93642864226683, 339.74552601416133, 340.7756733949347, 341.58504183798465, 343.38992751023636, 343.60007875735005, 344.71419420371143, 345.31460015650362, 346.16401372532937, 346.98981705740954, 347.26536974452625, 347.39415993140062, 347.91571984041582, 348.26669522067721, 348.5239665430193, 348.92069175077768, 350.22326142267087, 351.76669766679692, 352.13578013606269, 352.7559230041312, 352.8407147008075, 353.67686940746557, 354.52731803836502, 355.37947838670459, 356.22850754764016, 356.77790011523285, 358.63901538012755, 358.75579402401974, 358.92441890510366, 359.40289296790291, 362.79926613742714, 363.14420163212674, 363.35076873644374, 364.73952997185347, 365.5490196302776, 365.68664215088643, 366.92471172502445, 367.40952063753684, 370.36334622235501, 371.20106487042449, 372.65655915245253, 373.60762201243813, 373.86837042158913, 375.5052922112904, 376.01858307630425, 377.73619902520716, 379.87271575366123, 381.07673814543722, 382.62028516247375, 383.08170919452135, 385.48345750133888, 386.15000171510047, 386.24094701622562, 386.32047435144983, 387.4672077541403, 387.92307023120679, 388.17210389939589, 389.14838287584888, 391.02052962923062, 393.19397559413824, 393.54126684903605, 394.5334608072119, 395.37026526614545, 396.16345144623125, 397.80384668603864, 397.88213054115573, 399.50017114861703, 402.41419865261349, 403.6284444458887, 405.28809047576749, 409.16350421888478, 409.52444834208825, 409.84923618826275, 410.15070713326179, 410.94511966613572, 411.25779442310619, 413.22505252139791, 414.1231230950018, 414.77152436434505, 416.11674118886793, 417.2404019835468, 420.63812105006014, 421.43695946173273, 422.15605513251273, 424.12170700216302, 424.40923883457867, 427.53016389380542, 433.73473802626228, 434.06592924417828, 438.36451118931922, 439.12520208101625, 439.97741280020489, 440.49150337759193, 442.47943872654912, 443.04863679909232, 446.29700676775946, 446.6928933219242, 447.01268362532153, 448.20977232505197, 448.54740212306552, 448.76086208622132, 450.31886045215958, 451.7455243690128, 452.32915025924058, 453.50602086425863, 453.95789098020765, 454.67929578610625, 455.23045732430427, 455.43785243532517, 456.74383711010728, 457.15942953881517, 457.97418770910207, 459.18225727718124, 459.67632247191949, 461.20194249541174, 461.48782047184432, 462.85302238563401, 463.39748515277324, 465.74305573885005, 466.44798789375346, 469.81781530909649, 470.09341693225105, 470.15846242413511, 470.54760521665463, 471.78838125456167, 472.02609338381137, 472.47710542176827, 476.12724553875654, 477.30565024413698, 477.54914286615173, 478.68853149727056, 478.79206914816677, 479.54723084258501, 480.66040335352164, 481.6730057493582, 482.51061964885383, 485.91393136172348, 486.982150156405, 487.12481433592342, 488.09454566008924, 489.74571150563548, 490.99162535861132, 491.37573505955834, 492.09796370942348, 492.54155364360486, 494.98645699540128, 495.04336176477011, 497.61423447814735, 499.44700212428626, 502.36271428863159, 502.62938652510354, 503.40359009573359, 504.28728978785017, 504.88116065954932, 505.19861070402339, 505.44507789236906, 506.52230585843205, 506.70367039279779, 507.07184819428875, 507.49275036351582, 509.84001102099268, 511.91494486852474, 512.79510240338493, 513.33307818665571, 515.03879845094491, 517.69629664879938, 520.05313952930044, 520.68432091255465, 522.51939456315085, 526.59770232372432, 526.84642487835436, 527.88263865552358, 528.00830321234798, 529.36403681156582, 533.49655229248685, 535.03758614231776, 535.80126682836851, 536.18859746260819, 536.85570143435382, 537.02287746912464, 537.50807924825278, 538.62236786747587, 541.79922567243227, 541.90927666355913, 545.1556023119366, 546.13457421808062, 547.20582789663376, 547.32274778841804, 549.25463664301242, 551.39084738886277, 551.77487043841381, 552.3189028655155, 553.47811703167247, 553.6190958587257, 555.89074390834423, 557.02971683669318, 557.25881409716533, 557.43008276938008, 558.30291273024045, 558.53961981067903, 559.65152079245343, 559.99401017693015, 560.03907315737717, 560.41060070835181, 560.61305469759452, 561.00374337403639, 561.51878764672358, 562.83772804489183, 562.94551862755577, 563.36777217662211, 563.75533837843375, 564.07476315335623, 564.62203454991368, 565.6120617974633, 565.95818473175746, 566.70561509142794, 568.29287496788288, 569.71313214919621, 570.43404489538364, 570.94690587109289, 571.69490475917382, 575.65358282283887, 577.04766249492081, 577.43997330636125, 578.33004922120392, 578.99811235497202, 585.70939226380881, 586.38038332940312, 587.33595610517841, 591.13281310790057, 591.38997344627171, 592.69677692829771, 594.04457796379825, 594.32700961374258, 595.15826233541577, 595.53189624792378, 596.93302111646051, 597.30760849633202, 597.35977441381272, 598.60178607850639, 601.9660604515351, 602.30692761799185, 602.42761882794082, 602.77838920608713, 603.19685701728929, 603.93051603098127, 607.03390853801113, 608.45308284157647, 608.48255218686552, 608.95016048989396, 616.5828332577197, 617.49276279695073, 619.53716518646718, 621.57004265484102, 625.12604089193644, 628.18424330533219, 628.52454074191428, 629.84712876284038, 630.59996149323376, 630.75141130487702, 630.84213334441381, 632.11932014184833, 632.49938597301366, 634.60684158282174, 634.67981116659041, 635.2740398551739, 639.5960344443406, 640.18194038291062, 640.42012538887411, 641.04528583568913, 642.6189583634839, 644.36144610010354, 645.05553674057148, 646.38422873458319, 648.35547761496071, 649.22353919990928, 649.62946645668978, 649.79423657837617, 649.8463261477807, 651.75185795128914, 652.29979423901955, 654.6249987769105, 656.78577426081654, 657.38129424298018, 657.66171739483173, 658.23001886841962, 658.39468530813122, 660.50200748821453, 661.14641024896184, 662.22799242172619, 662.87496795117806, 664.04959429738631, 664.22264994202214, 664.2924256988307, 666.21521013492406, 667.88570482490115, 668.72913050599072, 668.81608482126933, 669.00081878186882, 670.66729709553124, 670.88754777861038, 677.06254198286024, 677.13639883962969, 677.35666010960813, 679.29692445051978, 680.08960696930023, 680.27491244063458, 680.65473848085026, 680.77213230629161, 681.61471144697282, 682.23389497602068, 683.68389620496168, 685.00897507450554, 686.6267941589407, 686.76683634989854, 687.5544208517473, 688.379580142034, 688.5465802363434, 688.61266424175176, 688.9414953797434, 691.96303539717098, 692.7065518361328, 693.099068537618, 693.65120684087344, 694.85160014460428, 695.16517048257742, 695.84839199938915, 697.09203928223155, 699.33413389828615, 699.38750588016524, 700.21207872313903, 701.38653981764753, 703.04132255789852, 703.76352706432033, 704.01004536611549, 705.8625359113089, 705.95023396497766, 706.73218053082667, 707.05601410877273, 708.56470816593117, 709.22034015642987, 709.79328253381243, 709.99677154320989, 711.1114358811825, 711.4096024448628, 712.6324595019064, 714.39741262393409, 716.12173765902355, 716.16959193622222, 717.34721525727207, 719.34797487184881, 722.47678705170244, 722.74206681159865, 723.62384270267239, 725.03442939250294, 725.5063952900266, 725.88307115735222, 726.10204323746677, 727.67986239440916, 728.75318084877722, 730.33736210106611, 731.14099911587823, 731.51897303266844, 733.41426471335444, 733.48547284325946, 735.38771432977967, 735.65612946730778, 736.98021160304631, 739.6026984733677, 742.67987508044462, 743.37272507198008, 745.6178638108164, 749.55863828912163, 751.50181634936894, 751.75459369708983, 753.30099724797662, 754.40347167208597, 754.52631317071234, 756.42891625487562, 756.61315204704476, 757.0472195125916, 757.90941436723995, 758.65273948988784, 758.73281495722392, 759.40228230570108, 759.64291546109769, 760.38951750445244, 760.86618584943812, 763.69289707006169, 764.8297548157326, 764.92131352614422, 765.50634318680909, 766.12103741577459, 766.68671307352838, 767.05277013890179, 767.52502535888834, 770.42221582611512, 771.05292108672279, 771.98055704445221, 772.45050200854166, 772.76279580466348, 773.253353299281, 773.72971405399619, 773.94932796455521, 775.94672903464607, 776.08687965316176, 776.80428328327537, 777.03584677345771, 778.48062699035529, 778.76562071682463, 779.6349628949406, 779.9214743425315, 781.06183651193226, 782.5821940675861, 783.02773216743026, 783.85427543697949, 784.40292709695143, 785.58485521863497, 786.61070524771674, 786.90426031478694, 789.98200561685701, 790.32603963860868, 791.58112448240104, 792.63336540154091, 795.64708397773313, 796.47302993162873, 797.51975665283464, 798.2265754463325, 799.91507730671003, 801.29384556195112, 801.36773815912181, 803.56965404483549, 804.03062189829814, 804.53815954701645, 804.79076228915449, 805.22181929172302, 805.2419690307687, 806.27856041540281, 806.61359023025784, 809.05062345662054, 810.88500382938787, 810.91609410134117, 811.02643267620419, 811.05379159124129, 812.20980938184834, 812.35613220793221, 814.58860278063332, 815.2577498681818, 815.46932852647922, 817.17865068166361, 817.48617853975543, 817.57532608568613, 818.33982942714692, 818.69310369569496, 820.13619032264705, 822.75143316493779, 823.00526735055303, 823.33377867439253, 824.04334778179873, 824.98989030648886, 825.0309119911426, 825.50166541834915, 825.58415295668146, 827.29199698268951, 827.88098359151786, 830.84322290860541, 831.43367880722053, 832.03307240058211, 832.13717358265876, 832.77780055084793, 833.34447224666792, 835.02852278238515, 835.61745068963967, 836.21570370474763, 836.39450139355586, 837.6229632677331, 838.14338968815741, 840.53596738815861, 841.3167814290814, 842.01961021741204, 842.67085955525374, 843.79855574635985, 844.70325452589111, 844.74980169122432, 845.4036930202808, 845.90134929419958, 847.7828448255035, 848.68275799854905, 848.81208891633889, 848.95917622316949, 849.14809467338125, 849.93333880014234, 850.64996026308813, 851.07307938884242, 851.35851965052848, 851.75738313696729, 854.45799987558462, 854.6841336350692, 855.96941961349648, 856.17310657113057, 856.34032844880051, 856.62940474708762, 857.00472062180586, 857.68379150788735, 859.14081547657429, 859.26959863971797, 860.25090871453085, 862.2938842677712, 862.38650846728285, 863.05406222741931, 864.14436792321101, 866.52487632761915, 866.55658604521705, 866.83442368335022, 867.30782227441489, 868.54364151266861, 869.48133374252097, 870.21703297678948, 870.32174870823508, 870.90020564908161, 871.65074837530244, 872.58851775432697, 874.24631977847855, 874.70801328308778, 877.83185062457221, 878.30307342435981, 879.12784183978908, 879.38295116936797, 880.4402075241079, 880.61677122365563, 881.42270629125846, 882.44272816215971, 882.77674531797243, 883.32092474752585, 884.88860570792258, 885.2309027714997, 885.51454741354985, 886.33523878640233, 886.49582044248666, 891.86202551506892, 892.17146227372757, 894.12479097395374, 897.41712798502249, 899.694934172579, 900.40651679654195, 902.17158383535502, 902.45801249761371, 902.54075906721675, 903.00292767602946, 903.67066144739067, 904.42044524676135, 904.7478726863128, 905.91419253252457, 906.14956323773833, 906.88301083416547, 907.16942768311094, 907.54469718318808, 907.84494563043859, 908.2584552983559, 913.15976130449496, 913.60933828208738, 914.19595556966078, 915.50798668088737, 916.31057523399954, 916.39740945377571, 917.61273908314502, 918.94546551991755, 919.25070654980959, 919.31008510286006, 919.43345893830542, 920.11405364664347, 920.54224361392949, 921.91429985222351, 922.16522908581828, 925.92562047624472, 926.20036357307822, 926.31531737401542, 926.62172912111293, 928.48249857914584, 929.58283717122242, 929.94860758875711, 930.97796296190313, 931.87357592959268, 933.65575462831134, 934.93236827525448, 934.96562618559392, 936.39979873790139, 936.87428920496518, 941.26888802485837, 941.46990335825183, 941.78442343041115, 942.68073619230131, 943.47220226228262, 944.29012943109296, 945.86691409648017, 948.02876576249821, 948.88595694982905, 950.80524063676319, 952.07526764726924, 958.15679628544285, 958.32241706734783, 958.43129284043152, 958.82329224442981, 958.95729305722341, 959.10690656244765, 959.2534004592552, 961.00964127510224, 962.00688492985762, 962.91202610031132, 963.43539354308155, 964.19850415571022, 965.7240585348419, 966.16280069423954, 969.30714407567439, 970.02177001805046, 970.389299351403, 972.20209422350592, 973.57474861266883, 975.19301234211878, 975.59891535852603, 976.08892508074416, 979.93360840668458, 980.59187048453634, 980.63073611265372, 981.97072426964235, 982.53244555913591, 983.28897867214187, 983.79738094483332, 985.16315132319176, 985.76880179602438, 985.79604323111562, 986.12040190664959, 986.87033967698778, 988.17532546697396, 988.93345130374848, 988.99704744188261, 989.69573567736677, 990.27539945989531, 990.50427055186606, 995.8815253371456, 997.10399201211828, 998.10492655812232, 998.47383453565942, 999.18673972024919, 1001.3852490899612]),array([45.075470582412521, 45.426327566135093, 47.26037311324832, 49.16456732769479, 49.206865832415261, 52.615947514943421, 54.010951679574589, 56.098703818146284, 56.226804642749805, 56.304318026675297, 63.240024821945426, 63.870012649251898, 64.648695288478791, 65.076537710981626, 65.172694228396665, 65.335201906510335, 65.423721477658574, 66.699812299257346, 66.828137933532105, 66.875538158217267, 67.181831544311507, 67.343785126866862, 67.819626526897352, 68.044966378055676, 68.479715896728408, 68.715989294737653, 68.932555480289878, 70.78908666666392, 74.550258443761138, 76.435023843604782, 78.035779284205361, 78.637640576310531, 78.662529852659731, 79.25138339555825, 80.682903716619194, 81.250583081708143, 84.030365016922474, 84.283265640486349, 85.481114419322893, 87.951576955978382, 88.270980245657668, 89.085079240211641, 92.471164608144051, 94.405610077235281, 94.47338694993509, 95.668756132947692, 96.626183265956271, 96.850302760997693, 98.549963852207767, 99.799159798728127, 101.15597238469543, 102.43024491732868, 102.63286155148006, 102.82337646338939, 104.10972899391942, 105.59278587902837, 106.29845480762346, 106.61391583192265, 108.17700817074153, 108.41701652380026, 108.93696012924586, 108.96084460527463, 109.62243956313463, 110.87554128972488, 112.6087729833791, 112.71234919429624, 114.85252428105142, 114.9719922864702, 115.3539859183313, 115.39906681917061, 120.4864661073992, 121.74895560674167, 122.44771884310227, 122.49371096444627, 125.13506968670858, 127.22922219675762, 127.40446203411868, 129.53062735972242, 130.27808478420599, 131.00030068488851, 131.23432668033755, 132.1928276139835, 133.33269908227484, 135.01703899754469, 138.1113250117385, 139.18235353162893, 139.51275259495921, 140.73884795721193, 142.73195161615874, 142.77989097723079, 146.72138857114746, 149.3593472395834, 150.09835681568433, 152.29502044129893, 152.58632408457302, 153.92979660733309, 154.17279648167894, 155.55072894192597, 156.19364018176361, 158.02896465248031, 160.2493896937163, 162.009189933882, 162.57485609552648, 162.98360074152797, 166.23180117557845, 166.32729563906813, 168.06630951806838, 168.13608140764381, 170.18378715135682, 170.28151023020655, 172.74265400780902, 173.09037301047823, 176.07539743813945, 176.11872424116308, 177.87710465826262, 179.20321461374343, 179.68202141889196, 180.50584127558852, 180.80566563840938, 181.5197625017266, 182.50565307686335, 185.6434543942712, 185.94722045832256, 186.27853236533809, 187.29697053749908, 187.86939729575855, 189.55294539484726, 192.54737161784971, 195.83567266502894, 197.28528596246954, 197.78280568843249, 197.86380994387551, 198.23569986938512, 198.54100492529716, 199.15438084067071, 200.19084172578937, 201.27729151729335, 201.84565198531016, 202.49762826032227, 202.5371681988083, 204.14577111068976, 205.23371197018906, 206.02487813385864, 206.59667760211769, 208.16888390594366, 209.69612616714195, 209.93836584159692, 211.06596254281621, 211.45277479123402, 211.506354149386, 213.18542218891682, 213.30213127695299, 213.90602293444485, 214.73206056570768, 215.57408685880333, 216.41332443286947, 216.75429781721832, 221.57259369078949, 222.04423226224787, 222.26785033821341, 222.87883463467497, 223.12979718693873, 223.25788841970396, 224.21300630110562, 224.32012665435849, 227.55010743146414, 228.43733669375075, 228.73636820902331, 229.22024436107284, 229.38872225706038, 230.90852189128236, 231.87936704141165, 232.59940715931072, 232.84449389340074, 233.83747077084121, 234.39812938029181, 234.85192132819247, 236.75142158578424, 236.90268444527919, 236.96508377683983, 238.35857965190681, 238.80171490574995, 241.36752692264187, 241.56266261521472, 242.64069953002169, 246.72404728278039, 248.74230104028717, 248.81403837289582, 248.99753065431992, 249.48252139978462, 249.71725934574911, 250.35417379680757, 251.39922057877587, 251.82645756992329, 254.72651072098819, 255.7053534886187, 256.35803838773199, 256.45854347264606, 256.57988769199045, 259.06425103587583, 261.25414246821788, 261.4309980543257, 262.81499866076058, 264.78274811014046, 265.42017119563297, 271.13149479283777, 272.63915819311501, 273.0838009357862, 273.32517316075314, 273.73775294270206, 274.23817921425558, 274.58326652039125, 276.07422983854207, 276.37255109692512, 276.6266264477178, 277.12174653686662, 277.20294314978878, 277.25375139631825, 278.79544400473009, 279.24880328178318, 281.49318035058161, 282.84483482084892, 283.53718834904873, 284.57676774292565, 284.60389236846544, 284.64681028461825, 284.91442064549892, 285.35563658802835, 286.02021395649069, 286.6437378512033, 288.40585382949087, 289.22845231853688, 289.71960479644622, 290.48947916877233, 290.93338818810656, 291.30531944693377, 291.36156967805357, 291.47266295521501, 292.57615160269808, 293.09914336330098, 293.74638607752183, 295.18798534072175, 297.40629357058799, 297.57209657609206, 297.85715560742585, 299.67996599580533, 301.20622277303272, 301.53938808817207, 302.25814766022972, 302.86145135467052, 303.43717725964075, 305.90154943658928, 307.36789902096945, 307.64140331995668, 308.43451381723071, 308.75306330729052, 309.50016257504944, 311.16390100613324, 311.87589348899638, 313.18248761599023, 313.38404859056863, 313.96422985295993, 314.52968142562145, 318.1394765119615, 319.83422869224779, 321.85563409205537, 321.87780996275234, 324.81947124100782, 326.01277110832928, 327.73178070439434, 328.59385574805964, 329.26005124521163, 329.87291634668907, 331.44639354002936, 333.78056540295898, 334.71320211219432, 337.42411718190527, 337.7885942068084, 337.86766385651566, 338.49942620454283, 338.60821917405781, 339.08949310122449, 339.48770371294376, 341.28494276602231, 342.84149866159987, 343.12121520828032, 344.56224436828097, 345.11914664501626, 345.3254880011998, 346.06660291583069, 346.31402716196698, 346.42743331433365, 347.9981025736069, 348.1388399387489, 348.20625508194996, 350.24939025303883, 351.57498214273409, 354.71442447600595, 356.04343759014739, 356.39489884951223, 358.06734864397936, 359.19820441700745, 359.60905236749511, 361.07900751139954, 361.44769259390716, 362.75962112581385, 363.30693840813717, 364.61610262097821, 365.85653706430514, 366.04941976831293, 366.29999329735205, 366.71002086342412, 367.95098600369477, 368.55543827063434, 368.86589426659754, 369.49280716019325, 371.33881631971747, 372.18656269727137, 372.95216261399923, 373.89511616220648, 374.17058183605383, 379.34469918227927, 380.32874513278949, 380.84502358078055, 380.89589532170652, 383.01357585691841, 383.43979366513344, 384.79660038240365, 384.83680989944742, 386.21151487622581, 387.56832197746343, 388.38749277044235, 389.02213693719062, 389.29612370182264, 389.63099911195712, 389.9228841287495, 390.89528452176103, 393.282827086297, 394.81207198232886, 395.72323130640933, 396.05615539931625, 396.11201283820515, 396.19554566192238, 396.46947972876569, 396.8776049021522, 397.0614147643339, 398.88900273932154, 400.90738937778866, 400.95597449324691, 401.4830452359742, 402.20151921049393, 403.42662232688275, 403.96800715172117, 404.73567768204117, 405.50231154787446, 406.32798488448088, 406.97802828725435, 410.14608548584926, 413.22244847068379, 414.47251208500882, 414.8231502161197, 414.90989440918111, 415.71745671875681, 418.30679339336916, 418.98360557668821, 419.61695207662143, 420.35897696863663, 421.76901217006463, 423.09922817662306, 424.51252799272515, 424.77042802709087, 425.12843273087014, 425.51266335410202, 425.74536132411168, 426.04878902869098, 428.73954358607534, 432.85306606051483, 433.99971877432836, 434.23710011525367, 434.47945346753073, 434.66712287877715, 435.30112155672629, 435.68014036328026, 436.48293855232566, 438.13636816358337, 438.8146262223334, 439.44277946406618, 440.07849146988025, 441.02249586667529, 445.15174223105407, 446.02217947955035, 446.23789814010985, 446.83640748315781, 447.58411718166406, 447.83160962705114, 449.09558983987898, 449.12455409228767, 449.233562285875, 449.5233787049508, 449.67476638249417, 450.47484563457334, 450.60309986949142, 452.03570303561099, 452.11989936758954, 454.60458912794167, 457.76811706392118, 458.1414745205438, 458.38208142190354, 458.80061402154502, 458.8283367617575, 459.42126885108848, 459.69495704686642, 463.39038591290148, 467.299381585096, 467.45956315235662, 468.29404788154829, 469.08783698822799, 469.62874111567135, 472.15780948802632, 472.35003173166291, 472.69699066831055, 473.39482857123591, 476.13255876623799, 479.64764483736911, 480.10587190636926, 482.44549481311458, 485.2456305210282, 485.79199603799145, 486.79565525244573, 491.42603639095256, 491.47294004973168, 495.47280258684856, 497.08212252105568, 498.17690061335492, 501.1229696098614, 505.49277871373596, 506.26724940385623, 506.98588131467272, 508.03554916050467, 510.28845306077119, 512.04349214786771, 512.63117293280982, 513.0293942303673, 514.49355384296814, 515.6994846209833, 516.72511216663781, 517.94677648365632, 519.40508760599664, 519.44020498871055, 519.80376291483219, 521.0060572416711, 522.31426741516043, 524.59575769570154, 525.05345948621152, 525.29539478032257, 526.89809662418907, 527.20313897381175, 527.45628606714911, 528.78248471710049, 528.87634545909657, 529.35665202565269, 529.47056877518651, 530.40012359764194, 534.02229939139977, 535.14242177635822, 535.69405256537902, 535.96179821071507, 536.99677038639697, 538.6891388596556, 538.74482163144069, 540.17452175175436, 541.33776860881517, 541.42091003592793, 541.52385086902314, 541.66735061473719, 542.26729930648719, 542.82271267824285, 544.69029005737809, 545.09194094565589, 545.6577061745304, 546.51806496009806, 547.32378761273583, 547.97664742482289, 549.2766148798936, 550.43447512387502, 550.93112449928674, 551.1800432191618, 551.95351264310148, 552.21316377545713, 552.58554041977436, 553.26613945966142, 553.51877367948896, 554.37645678099784, 554.72286207039849, 554.84235685851684, 555.36042787496297, 555.52061729434081, 555.58389596321308, 557.57815666700139, 558.21036909178054, 558.87197666401642, 558.90946003870124, 560.13730056235102, 560.49155139151458, 560.56908134413936, 562.94832131349813, 565.28558904565978, 566.21402380621726, 567.70126059666961, 569.77664852304326, 570.34458245322708, 571.38308268137121, 571.57537449964411, 572.06288888485847, 572.34021450784519, 572.48286966781757, 572.63657401657076, 573.02398180367732, 573.6430349929268, 575.10004876072628, 576.133853224478, 577.26839888719951, 580.06912451233654, 582.81239360569157, 583.12944832906203, 584.60401602748584, 584.94787201863392, 585.31143700127382, 586.42799341855732, 587.92151215046499, 588.54941638136916, 588.87656802308334, 589.35387729348383, 591.88388349648062, 592.07538527989061, 592.15864294870596, 593.71963623618569, 594.59785356403563, 594.73955000507544, 595.23878796944518, 595.31180212105869, 595.84202170586138, 596.06091906503491, 596.31377563566537, 599.05825984014132, 599.09492289824107, 601.85045136651752, 603.32274208130434, 604.24931241770958, 604.35905970095746, 604.75960710745812, 604.78880981479654, 605.25287316847198, 605.86135796124393, 607.82041879896008, 608.3856560326941, 609.50483030762246, 610.24182061733848, 612.64020727160448, 614.34555029502258, 615.3868374100864, 615.54072204511749, 616.00669358369191, 616.3964837002718, 617.05022609177036, 617.5768572659623, 618.73725620965718, 620.37950172775584, 620.69706634535623, 620.839337402453, 623.32793323537805, 624.2993404253865, 625.64363624331986, 626.07701482787456, 626.42810907666171, 629.4391446964753, 630.48718338137326, 630.74945551138671, 631.59566280552497, 634.18428857550907, 634.40789760009079, 634.5923541308656, 637.36224743392836, 637.42558039570815, 637.54428271701204, 638.3929561315025, 638.8314391566056, 638.93895858781082, 639.26545497740449, 639.63016263208169, 640.42955913731657, 640.57991770663341, 641.37562482729186, 641.94843839274608, 642.60935388435314, 642.83270381612135, 644.7539328627945, 644.86807811776339, 646.09900884576734, 646.86566719963935, 647.83654706421407, 648.73642589274709, 649.08877269561117, 654.34740729860937, 654.65620103985884, 655.24548919873985, 655.68966521178299, 657.85096581732262, 660.94150736062875, 662.9033218225909, 663.07792317054066, 663.7945556683942, 664.42020745743343, 664.45066519260172, 664.77970465466171, 665.17027212198434, 665.26919028179498, 667.00046166008531, 667.45930671816848, 667.88428857142208, 668.08043923761977, 668.52932959261943, 669.14734571833378, 671.88479195323725, 674.61599206471772, 675.78458675076797, 677.65250307193105, 677.76539160747018, 680.35194941791497, 681.32581375400139, 682.35542286670602, 682.48590537870666, 684.48713262243325, 684.576696269575, 685.00570542664605, 686.43228707304581, 687.65430827552689, 687.99146595665786, 688.32719607776914, 688.85130581048372, 690.31336456413305, 690.52352903858571, 690.91720042570523, 691.22332157348387, 691.45337465479611, 692.38814982514191, 692.92641789169886, 694.08294563510958, 695.42206094679182, 695.45514660440813, 695.55237310872178, 696.65732392445489, 697.36633583240734, 699.15026403149034, 699.4595495321513, 701.43236124074042, 701.87487177566754, 702.32613390425513, 705.47846835484518, 707.84352547467518, 707.99656653854424, 710.61990520194513, 710.77509830513998, 713.07570456163432, 713.3318116548121, 714.16375395375564, 715.98926163838337, 716.22931540064451, 716.26517089224114, 717.31963762457474, 718.99834890270006, 719.47020447295017, 720.58111988364305, 721.32976130400334, 721.48327063327827, 724.45970851392497, 726.01890015691765, 727.06477919023314, 727.47204091045955, 728.3942588980359, 728.68543845439979, 729.34364998440788, 730.60032767795258, 730.62658051628932, 730.97462463859858, 735.267964775721, 735.60465598367773, 737.52402469737831, 738.81015556777288, 738.96617512648641, 739.03690840669253, 739.25229065646715, 740.54799539610008, 741.49585131721085, 742.38656894353392, 742.80759017573428, 743.45779879760676, 743.98689944326361, 744.78120773146509, 745.16866468816147, 746.19538139867927, 746.45866728845135, 747.95182836111132, 749.13134613837337, 749.39820819893976, 749.58531837760756, 749.67765158829479, 751.06695627536578, 751.50353818885014, 753.43442335507268, 754.54912657411057, 755.01489465376642, 757.74949825079068, 758.39895479944209, 758.42407681533018, 758.46074581631569, 759.22538091240096, 760.07953520092258, 760.25165321474037, 760.98668290908415, 761.52188776321861, 762.90523789030351, 766.1334162348553, 767.1171853460429, 767.91538902462889, 769.23438946041222, 770.81437425778995, 771.55238149781678, 772.93132182342765, 773.47579276057593, 775.79655556497823, 775.98877769810997, 780.32139367112472, 782.03539304736762, 782.6399192661687, 782.67699476575797, 783.76105852787146, 785.02882800060036, 785.23705046103737, 787.32984579468632, 789.77640878652517, 792.26499252397105, 792.31372584956341, 794.38317854943125, 797.1576399608465, 797.47864534615201, 798.01628020892542, 800.61584381146577, 802.53683546401055, 802.61819003698758, 807.01986267800544, 807.51156758795003, 808.22106718680664, 808.87969581552363, 812.19661154667665, 812.24490293507597, 812.33620172146391, 812.54220316232704, 812.60509282361772, 812.94563627744105, 813.90130013727014, 814.79862136850568, 816.7150739877535, 816.75502986969514, 817.05997440969531, 818.03760105459071, 818.85154620160142, 819.98299158969689, 820.46852897842723, 820.80815040378479, 821.22189278634596, 822.26988837556553, 823.75827651019199, 824.66530437754773, 828.7910990785382, 831.37486981986979, 832.16849361557422, 833.4391574930645, 833.56892997251168, 834.35291313021548, 834.88572149253378, 837.7644960368599, 838.56302791508574, 840.14468312448264, 840.94447431794629, 841.98286506596958, 842.4078447334075, 842.64982300791314, 845.11320264758569, 845.58196163704361, 846.35361885997577, 847.20255527244683, 848.93064131520316, 849.68598503448311, 849.72263222359265, 850.37574751089574, 850.60316519236039, 852.33611585740869, 853.26650703921734, 854.65397836671139, 856.39949085252965, 857.90607362388675, 858.34503149858222, 858.66643118614434, 859.39161361921526, 859.64582609377999, 864.29539515567501, 865.13014303940679, 868.00777084647541, 868.81591187109473, 869.65061556663159, 870.38180294606775, 870.64898799802927, 872.77508889171759, 875.12453910636702, 876.35483583614746, 878.32331737719403, 882.475026895258, 882.69247543579513, 883.01304701919355, 883.09694395184056, 883.3242404911681, 883.54350955782434, 883.73552083594427, 883.80227631855462, 884.41638537975427, 887.15038650028873, 888.38853116479947, 888.59595573293575, 889.37315327480439, 889.86499060104825, 890.38339621923637, 890.46179399696052, 891.12597214966047, 891.40628434462201, 892.0581439372329, 895.35287566416207, 898.16903397124997, 899.00059985591793, 900.99915867311108, 901.89693723123526, 902.08790263998958, 902.4465217298648, 903.14294381938237, 906.33498391745172, 907.28554671003917, 909.93261467879961, 910.41709179813029, 910.9509717190748, 911.16910538982359, 911.94877033289447, 912.44971175802357, 913.54057177575351, 913.99142003511645, 914.92355234295019, 914.97610640368669, 917.1114655737623, 917.78977992707439, 918.36327785163621, 919.52767110826971, 919.99435145776033, 920.39702321134121, 921.81569452158772, 922.27705199383422, 924.98023707998618, 928.23883617290869, 929.59529889313046, 930.18386026190387, 931.35336569762364, 931.40710889767104, 931.55832117564751, 931.7239287024878, 932.89263688834376, 934.13558504185789, 937.68827521026128, 940.4586498867809, 940.53360872626831, 940.67817797937334, 940.82091664863287, 941.28831810589031, 941.76260474004289, 941.93341950204831, 944.07408255912469, 947.47929580643267, 949.21169390176703, 950.20641287208014, 950.3964411057118, 950.64193998908797, 951.50388691109697, 951.70143983615071, 951.80031511932634, 952.90690947109101, 953.79475139569854, 955.91759187476146, 957.03701344172703, 957.66533741806882, 957.80894304177036, 958.91732421255017, 960.19651840857455, 960.76121934318792, 962.35378862746711, 962.54948569262058, 963.66968637140701, 965.28810716362261, 965.8794182924147, 968.5518028736866, 968.6832024932429, 970.13483943585936, 970.28495308860477, 971.33621690279278, 972.31660091938227, 972.37257505656453, 972.57471338937069, 976.02418538520715, 976.38907394781484, 976.64855848491527, 977.11056959524217, 978.43184307456386, 978.62809062487133, 978.85055386578779, 980.21857367055941, 980.40958460599381, 980.48435010761682, 981.99924432255716, 982.28428586641689, 982.54131079235606, 982.86935284246567, 983.07432759317533, 984.18787965692343, 985.03140961503505, 985.75793379774359, 988.24523846078228, 989.12436380501151, 990.14052512867465, 990.64134127988984, 991.32940687888117, 995.0699374164534, 995.30813645516503, 997.06987918834477, 997.67303551623297, 997.94628708559355, 998.15104336217212, 998.60206986415176, 999.41492587466269, 999.53060576599353, 1000.046269723616]),array([32.472441847907774, 32.525405785635378, 34.622625614516629, 34.853800555833047, 34.945368078055992, 35.858679681627535, 36.28381305199477, 36.980009316014986, 37.548689808073796, 37.906570448786177, 40.358436449448433, 41.164067196533288, 41.23887854582393, 41.655010520548608, 43.614126253732479, 44.194674706082772, 44.526879293435663, 48.088478840813536, 48.904187816422514, 51.137777849897276, 51.254799942344818, 51.879247554508417, 60.020249345122501, 61.61124997301939, 61.631346076363663, 61.815510534507112, 63.103388015184109, 63.586327282653649, 64.240021098899263, 64.515243918277292, 67.182310712177852, 67.334151798743889, 67.790816217247823, 70.792533918280768, 71.011974451517588, 71.944921996994069, 72.042700720079978, 72.265200187368791, 72.647684355305088, 73.272363209302966, 73.849814118165241, 75.537325986238727, 76.229032882018288, 76.43172330797654, 77.136305981775564, 77.213258223520043, 79.511220206924875, 81.892643771578946, 82.121915243803741, 82.279254289657274, 83.399124913615083, 84.618113367321072, 85.120509329679436, 86.209680892655484, 86.502000330995784, 87.585696126650973, 91.29769682823985, 91.485165144166899, 91.873218590380816, 92.651459969866934, 93.286300062000819, 93.316198938589835, 94.245585336767846, 94.816579184780025, 96.182153858799722, 96.628982415544328, 96.737582197157806, 97.048748808145433, 97.210981498909575, 99.052156725869736, 99.30864785238208, 99.623294735710203, 99.907607198775395, 100.29279164806751, 104.64810876308484, 106.29479887713305, 106.46775555856625, 107.6297772232781, 109.25121039847443, 109.61257575126925, 110.19786691632491, 111.06069812843468, 113.46154270823115, 114.57635515469975, 114.9553815756755, 118.33479065549093, 120.45821282471049, 123.87144711805688, 124.80344690247327, 125.18092225477406, 126.12702272106105, 127.12931129091058, 127.47495577027075, 128.57475547245943, 128.99853820158464, 132.54626596799619, 133.23628144992304, 133.62265768313108, 133.84143567029781, 134.47597351531681, 135.17406780616912, 135.44486597676504, 137.64618358298836, 139.15482864353595, 139.59110948154321, 139.85689438696937, 140.39551693885403, 141.27374486796862, 142.67566736291826, 142.81887800835841, 143.08504607789135, 144.21552059124156, 144.81539591106699, 144.86803362099417, 144.94455078792794, 146.51336815411119, 149.15844910515875, 150.69500007959658, 153.21681413953834, 154.80648474471289, 155.55936033229966, 157.05394407207444, 157.25806601514444, 159.05693027895148, 160.21909667281963, 162.06222081616539, 163.20853839972668, 163.56857191724467, 163.8702703679653, 166.40409805926345, 166.81948384006492, 167.10073743288402, 168.19983255038281, 168.31855064912662, 168.88619969208111, 170.63636160122289, 174.2108164361791, 175.05529826337562, 175.37610977515686, 177.32838466079897, 177.52980985026196, 178.13633343046342, 178.77420928474419, 180.56625699781682, 180.68826747571265, 180.9727509338507, 183.14352475808346, 183.59599793636662, 183.63266775481921, 186.50707990979444, 186.83444346563331, 188.62506069660722, 189.103619342516, 191.02323969279104, 191.13161980068492, 194.00219027065617, 194.95062674366503, 195.44878965034411, 196.10275844352708, 198.18212609146804, 198.94166848311087, 199.29909215251379, 201.35374354651037, 202.36683047682124, 205.7242997528144, 205.84820115226862, 207.14272743885323, 207.74169206952652, 208.34103576119492, 210.00281705437217, 210.72762595885922, 211.77267283040729, 213.7466632399819, 214.43391150881288, 214.9313646030692, 215.31220638239674, 215.62444920483622, 216.01252840976304, 218.1096681728111, 219.27589531041247, 222.04081816833684, 222.51866657524974, 222.91459090172876, 223.89184489883041, 224.79853034207221, 225.62036774719707, 226.30319669498925, 227.10855415086209, 228.91182143765519, 230.80807583973782, 232.0028151686756, 232.40946636691751, 233.56682903715347, 233.60079035421245, 235.30967237740632, 237.38525690454063, 238.43823874190232, 239.128521563211, 239.56787640803503, 242.27104409421943, 242.95929366332686, 243.41330496938065, 243.55240669710929, 244.4025871195166, 246.55136628117276, 247.35891081511411, 248.07422412211824, 248.68301081769386, 250.15658293738588, 251.03936269347807, 252.97267141591504, 254.05141227460652, 254.58293982628231, 256.35682411931236, 256.42794880130634, 259.14718644257152, 259.18400946498895, 259.22478444233502, 262.02642882895725, 263.49163231978525, 264.36065767783475, 266.14084429820389, 266.9844767156041, 267.13310759823401, 267.44131667050942, 268.69529979643266, 270.55525329960062, 271.41688786888568, 273.35634283847901, 273.79054307036006, 273.83515106048219, 273.97257104306192, 275.39403557512259, 277.83316222336094, 277.91190926900038, 278.12324656386158, 279.18249246401552, 280.95323722144445, 281.29185478247018, 281.87023625035965, 282.84541193522841, 282.91141954266385, 283.0776267135335, 284.59769057543116, 285.32787313995823, 286.58007701071858, 286.86663716990518, 288.52452597676103, 288.89345534087676, 290.37540595596749, 290.43391490790259, 292.25136091423207, 292.49086200396374, 292.89427316601717, 296.89670288953715, 297.38037496687821, 298.00645355571453, 298.08341761639036, 298.35648137815036, 298.61827317180882, 300.38975358137924, 300.63932654566861, 301.25255466740049, 301.94117550527812, 302.33394229477358, 302.53723056608715, 302.84806506316033, 303.23677785538445, 303.64911779285728, 304.66604223109891, 306.22996547172772, 307.08114601953372, 307.77118981191802, 308.60920674828031, 309.2997790077228, 310.04995280793969, 312.22157990188805, 313.08104360254555, 313.55791661600756, 316.05552322304163, 317.15010591875927, 317.1719110986345, 317.34333542781116, 317.61269358560514, 318.81917831933561, 321.43430734428688, 321.66958617303021, 322.43993696811424, 322.77513217796849, 322.86684927777054, 323.66763526750987, 325.05170127126252, 325.17887598100748, 326.43298945127981, 326.60699587388842, 326.83524195792575, 327.76793702091607, 329.2073776913324, 329.92784362272778, 329.97853458223642, 330.84807135234746, 331.69226606488093, 331.79007496795145, 331.90711743250557, 332.66432734682144, 333.66036638096205, 334.50834771879465, 334.9742099427055, 335.32273321580192, 336.20898828205009, 336.6223624641251, 337.19699113342364, 340.55494419252847, 342.35259150027838, 343.28646229168504, 343.74036167396031, 346.13337583780532, 348.16431816514677, 348.55157219527359, 349.6276494780505, 350.03584063539188, 351.72904217850703, 352.15299879689599, 352.94251433727533, 354.22065513814698, 354.50975834292893, 355.45626715730998, 356.36154667538676, 356.99085285713551, 357.3912804367676, 359.57674041643173, 360.67095054485139, 361.29710979177224, 363.71050818466495, 364.46269234354173, 364.79686225715335, 366.44626074472575, 367.7362131764628, 368.29088748574844, 369.50859839405882, 371.79286815769996, 373.23877299032648, 376.82183588747421, 377.05171154582462, 378.88457247577901, 380.52218273982425, 380.60576736143906, 380.79279645243037, 385.51766998733592, 388.38039098522029, 388.44482015863389, 390.73095439207134, 391.13915988785055, 391.83128445601409, 392.44501364995227, 392.73575511881654, 395.70399475798973, 395.91484454791396, 396.63254675940533, 400.0609307160687, 401.14083655741035, 402.05675718855957, 402.25765052691492, 403.01973974338216, 403.56349137458409, 404.1349416765849, 404.76329605532226, 405.41094849595191, 406.32860512895456, 406.56890486351131, 409.07291334674193, 409.8135998946799, 409.9697675412707, 410.17265496164686, 411.84720162314136, 412.55112791041665, 412.58488333209198, 413.1094817852217, 414.17432494534717, 416.77811547772632, 417.05073387066909, 418.57341315890335, 421.12332019989566, 423.10746099233677, 423.54408345091207, 424.36404900572933, 424.73800018882679, 425.03751739314953, 425.21398796347819, 425.87539028949584, 426.45001472985098, 426.67992345001124, 431.43977486319761, 432.89607156980202, 433.26750998441764, 433.5760646764665, 435.30417937982014, 435.83887903440353, 436.66417304575617, 436.71166581716761, 436.82789226061175, 439.42653268989551, 440.98907360930127, 441.19973573299148, 441.89396674896199, 442.73369481047536, 443.38266842812902, 443.72655990055671, 446.66817406241785, 446.71593321252078, 446.89947521515006, 446.95976269455383, 450.893886412553, 451.86816423887058, 452.82418488733305, 453.28336068032314, 454.51546423995859, 455.59936246328192, 457.10583025013176, 457.65047665332571, 457.81679141069822, 457.96654930855868, 462.93431459455434, 463.76428261097976, 464.11062094473175, 465.64897106055497, 467.74285676535527, 470.53041900205017, 472.00224197000199, 476.96019361773631, 478.21898024595566, 479.87619065478111, 480.55897723630409, 481.62499377723947, 482.6294327339171, 483.59122811341757, 484.90458156766681, 485.17304502148306, 485.97755995101846, 486.33574427543482, 487.61204678503748, 488.31957850967143, 488.46322763364805, 488.53348473117819, 489.30843968357971, 491.36873722598125, 491.66517358039636, 491.80392573969698, 491.83356326777096, 492.75266284767474, 493.39010213769336, 494.71599073423567, 494.87140690500399, 495.0655756527425, 495.40161240660802, 495.63795970107162, 495.71343369659763, 496.3156849456189, 496.85684689698274, 498.03487590269435, 498.30838875074028, 499.14292830901093, 500.28592866440169, 501.13058325417137, 503.50212011954835, 506.32243483117583, 509.38149466681597, 509.77018073483509, 511.95724385739101, 513.04817275579785, 515.07533291353684, 516.55851450090404, 516.6396345322504, 516.80150779145765, 516.940523560668, 521.20063588484572, 522.24199059231614, 523.6573743281424, 525.85900964691359, 526.86432137371389, 527.78306289615182, 528.62324260896366, 532.11996419399895, 532.28482870167818, 533.75037925639117, 533.95412580347988, 534.70818313614041, 534.93564627579019, 537.44260977539852, 538.74512901770788, 539.59295886111533, 540.02951019825502, 540.89809567830707, 541.36564124361291, 541.58742113917071, 541.77128569316665, 542.01880253679167, 544.35700294119738, 545.5112335894712, 551.74266846642331, 551.90293430055328, 552.18199315435243, 552.2145565614062, 553.2653337186166, 554.593971787388, 556.4228030483473, 557.56823362068747, 557.94112761504948, 559.79601962236768, 560.20399934190482, 560.58512151089815, 564.85748210964505, 565.64713931775486, 566.23671359153104, 566.64505740940251, 567.12598401943785, 568.11568334633637, 568.5794031437116, 572.85554975535536, 574.89341140841691, 577.88124629308015, 582.86814845940432, 583.6186537772644, 584.73879751554216, 588.29749301099184, 588.439615144139, 588.9412973194801, 590.51954142640295, 590.56469509802923, 591.03186294518321, 592.86261142594651, 593.46304685339828, 593.86587667938227, 595.07627697408009, 595.11646077625051, 595.334741006841, 595.92588018702634, 596.03053152757263, 596.82717322340227, 597.25870492455692, 597.41165109949998, 597.70935341993572, 597.8567902153161, 597.87831993341683, 598.63547136249827, 600.4303611695417, 602.88868972490411, 603.07937511240823, 608.33469025778857, 608.96640705927928, 609.46309309861556, 610.07541655963121, 610.62038352732463, 611.72540583985324, 612.59125524305716, 614.37678879035548, 615.2846296217599, 616.15006894169994, 618.18933273632558, 618.32911002369156, 618.64100468388403, 619.68443501420268, 620.03771788673066, 620.92569277876805, 622.08819269334367, 622.67409273081171, 626.40689900374991, 627.98158332108949, 628.20729880457748, 628.23177928772941, 629.37985058952563, 630.05499027046392, 630.79885808705205, 631.4902390702905, 631.98607237749661, 633.09107545295842, 635.23379231268791, 636.49806393952815, 636.97022414662922, 638.02950786895644, 638.17465890388416, 639.25475216664108, 642.89781239386286, 643.27850725901919, 644.47784952816346, 645.35922691241763, 645.86866770055599, 647.65387366802713, 648.01349585981438, 649.23240455906523, 649.58215491322915, 653.97660440715686, 654.72796116153722, 654.86475278709611, 655.89627819584814, 656.33340715594625, 656.719672445843, 657.03186819668144, 659.31279340450249, 659.5086832792349, 659.85424981962774, 663.44575998495259, 663.80476076361447, 666.30837102744238, 668.86106112723087, 669.09944756624498, 669.27749365493571, 669.44038624375378, 669.55796805343914, 670.97862342945325, 671.18841108219794, 672.39500349346019, 672.87138103036921, 673.94277839807853, 675.02455812391281, 675.16283930044506, 678.40542144666665, 679.05123829219565, 679.44769452881462, 680.9104168579637, 682.59594476194593, 682.77257442343387, 683.2880772554123, 683.83007568143182, 685.44991475226948, 685.52881292847167, 685.70029236000482, 686.30091257561332, 686.95707866564294, 687.48092322600542, 688.13171885984002, 688.87299317064617, 689.30370824452223, 690.07712708117981, 692.13052416453854, 693.24764865110785, 696.15616923711411, 697.42111521376887, 698.66099402403654, 700.73523230169417, 701.16531312569896, 704.88844445191955, 706.2985154785307, 707.02960015595067, 707.72529861691748, 709.60757408348991, 710.19710759208385, 710.35724398613252, 713.55755802493832, 713.8432289187989, 714.1518161243348, 714.41874554735818, 714.97621693004112, 715.1853279988926, 715.80761054851791, 718.23147122642331, 718.83832112136338, 719.33425176419246, 719.70038726068208, 719.93742860336977, 720.10630028296396, 720.5019562932024, 720.9186761234007, 721.76622114390671, 723.17861797265755, 723.52453334011398, 724.11244331929993, 724.87392603673982, 725.04168097855063, 725.23187736187924, 727.47864362029804, 729.59183690459042, 730.60218089039142, 731.83936426216508, 733.21045399797083, 735.3526034625429, 736.69647965072522, 737.03203528859285, 737.67269225286032, 737.8510311311685, 738.20010446860636, 740.26982576713385, 741.35357016400064, 741.92617484324217, 744.20933349462007, 744.3746604522695, 744.39628709602994, 745.78984807861775, 746.27628952675855, 746.42603896498269, 746.77953779253858, 747.06929130817241, 747.61632622257093, 748.10838686377008, 748.46403593000161, 748.53974561155371, 749.27810774949955, 749.55960104959615, 750.06438274050402, 752.04243704728799, 752.17492160025643, 752.75058970239991, 753.3052990741611, 753.8465845334764, 755.18812830389652, 755.32328800837774, 758.87631565622587, 760.0188373113873, 760.99751969537579, 761.0807198364613, 761.62454713161412, 761.98834864973969, 762.92046188961262, 763.28041127293261, 763.37968504714001, 763.83879064579401, 765.18207051778836, 765.21336479314516, 767.22999185542722, 768.39889121958504, 768.69300628704286, 771.85644541794363, 772.81660240769781, 773.08659590406899, 773.18734403818644, 773.882967844934, 774.25576050326015, 775.03495002102386, 777.36857414793053, 777.74021924709302, 780.64339684638628, 781.30338239254002, 782.62711375045637, 784.7191045348186, 785.6725563485993, 786.86415932201351, 786.95730171257287, 787.6338273391724, 788.20927540717435, 789.47351300370599, 791.82046165094448, 793.17357898882074, 793.44802624305885, 793.84012270162987, 794.7262682657506, 795.88115296643196, 797.73358470016694, 797.84294308282665, 798.84815160914115, 799.49165185019649, 799.96306980363363, 800.17419558668951, 802.24694951812592, 802.33474029421734, 805.65757676941473, 805.74573019019863, 805.7974016096075, 806.71861512999931, 808.93817386482613, 809.60044178611417, 811.69227843713281, 814.77794066637648, 816.49501944886811, 817.1539230021765, 817.63507272851859, 817.90282692991434, 818.4521668601958, 819.16632614248329, 821.3351801946045, 821.49802319790297, 822.12149546700527, 822.69507864360821, 830.33251894666876, 831.75037508943933, 831.85754932444854, 832.34295730323004, 834.49251162578628, 834.69456737115081, 835.4852240262619, 835.80577257072707, 836.78771828163315, 836.99131049032485, 839.1590096429959, 839.69291037978076, 840.19295513111217, 840.37054423803283, 842.09408843603296, 842.71697352709953, 843.24342384035401, 843.59765362039423, 844.10057584056165, 844.24821728110942, 844.35032051815472, 846.45016503875513, 847.10920897074925, 847.5787544485047, 847.62273036711861, 847.79548233364176, 848.39495571848784, 851.84312502526848, 854.34552067840559, 854.50782296898626, 855.0228893919201, 856.475928064551, 858.99214438185027, 867.93542544845945, 868.03102701344744, 869.00417676206939, 869.76910822029197, 870.17551291552604, 870.8923212321256, 871.16219912289455, 871.36734276346499, 871.50288358760304, 871.62207708449671, 871.94575648667342, 872.24041096177257, 875.20177364528877, 878.00693843818237, 878.47694682090366, 878.52014768221011, 878.57296985847483, 880.87316597177517, 881.91863741309623, 883.18911681164741, 883.22533689145325, 884.40107045234038, 885.92977625040805, 887.8143735771198, 888.39025826954457, 889.03705520240851, 889.68330391441339, 890.48104694607605, 890.84965343713054, 892.20462756019583, 892.38651900185778, 893.09668321251274, 894.31507933771366, 894.62085060025561, 894.97472757812727, 895.35146251823289, 895.505900223553, 898.41193191640662, 898.81199164003249, 899.00120221605766, 900.06186755311273, 901.31810364109856, 902.18604606332099, 906.68163365089458, 907.18864530443443, 907.8409840047035, 909.51254249585122, 910.26712323231811, 911.19931576934698, 913.94017138942354, 914.01247389912487, 915.07047809364269, 915.95568956701311, 916.45814331261693, 916.97921719142028, 918.38783237990469, 920.21672578136565, 921.29138258185321, 924.19675224611308, 925.20182675137744, 927.7882938251206, 932.39606808646681, 933.38959896913605, 933.54297039204687, 934.07878557158108, 935.42320251565729, 935.67259402406398, 936.45799924423511, 936.49663622156027, 936.64924457943391, 937.8061740440246, 939.28006380698844, 939.37795108593798, 939.5851317325521, 940.3510897128192, 940.38117178587459, 940.75413969498993, 941.25692060871529, 942.17589091007744, 946.91470266233625, 946.95284348853659, 947.22212659275692, 947.66026952877098, 951.50245162152771, 952.38495619277433, 952.97593867137221, 955.28467084253941, 957.01457212153832, 957.47284928640818, 961.98924820911554, 962.35539642168942, 962.65738870552877, 963.87532789523414, 966.63911186543498, 966.88039163713654, 967.09279916655908, 967.2354803206498, 967.36809696332443, 967.47423778348389, 967.73144554773933, 967.89188165794644, 968.48269998832745, 968.71456830959187, 968.82497235639551, 973.03159311122181, 973.63103974987655, 973.98592264488184, 975.0057250072465, 975.4422363934666, 977.5417152439079, 978.45101802068984, 981.39425784505806, 982.87416812401671, 983.39731177722115, 984.61518318006017, 984.68576360613531, 985.54870752894055, 988.88990520612788, 989.70926642838242, 990.17204667622991, 990.59002377130014, 991.41337140999042, 992.32532153052614, 994.08149835485165, 994.7540157175664, 994.94893214521039, 996.01369213969622, 996.55227753583665, 998.94421332853813, 1000.6589465890434]),array([5.5388946223275397, 5.9976771947000707, 6.8937323388570402, 7.2672482052798868, 7.6654216034363394, 8.8781080726044941, 9.4430187254367244, 9.5367842900370192, 10.87189129533208, 11.940166133849784, 13.572078327920373, 13.9033095502544, 17.94576715859915, 18.021392533392703, 18.174114873820816, 19.013869324285835, 19.423190781246372, 20.38778428782874, 20.595367648643524, 21.188808228509522, 22.350210612275134, 23.387785931824869, 26.036399439626109, 27.342242451386053, 28.322402923614082, 29.512658971156227, 30.261499780398992, 30.427593182805214, 31.42782099561617, 32.266036761933037, 32.399121056134952, 33.240614937185697, 38.088770242201171, 38.740616542160552, 39.030779554860928, 40.059047896830876, 41.834338555808138, 42.251642527170446, 43.862638479708046, 45.407291402603626, 46.017863950733236, 46.948070545019014, 47.948622686394899, 48.561460674117548, 49.719925970796552, 49.795670428403739, 50.095036297882153, 50.216070792096794, 52.685270641910144, 52.827118599839245, 52.970065079931516, 52.992718201204916, 53.033014676830469, 53.250091295922836, 53.722125395092213, 54.876662817106777, 56.091775691770579, 58.898372799101892, 60.150245199248403, 61.918530404203437, 62.628296166968028, 65.558703408214086, 66.182732836468887, 66.277364080886471, 67.624748601014687, 69.501765172476468, 69.970545458235989, 70.821550592844034, 71.520588754942906, 72.847444235203426, 73.005214177616409, 75.555029571894622, 75.83458515783181, 75.896050302628666, 75.989803210322592, 76.19209577015279, 77.267274487458636, 78.3282402599866, 79.41650362893192, 79.695149144889569, 80.560940219589853, 82.262826713287296, 82.306724856045406, 82.648365866818537, 84.010705883221391, 84.214200985023396, 84.405725300898681, 85.56694622271128, 85.733697972338163, 86.422144733383348, 86.475692539157862, 87.126266270159249, 87.333642666006497, 88.211897572244226, 88.65882725278307, 89.219032190079645, 89.277730760478875, 89.667403660501577, 89.897734794187983, 93.805013680391284, 94.463100689440381, 94.684748566093546, 96.633702190933448, 96.974110128760174, 97.034652457093003, 97.284177799285871, 98.239402066767155, 99.088109679335815, 99.446970596990795, 99.957539843359484, 100.71764516277206, 101.25962236268018, 101.93672083336492, 105.21654939535938, 106.10880337207611, 106.18679737343096, 106.23733298915883, 106.77589065339524, 106.92184006301677, 107.57414640828722, 108.15194360720182, 109.85869384884187, 110.01969568334233, 110.14849804571612, 111.89558412118622, 112.27738234164119, 113.69616961219697, 113.868467175014, 116.11828808059613, 118.86495169996338, 119.59476919832234, 119.7801490161435, 120.74652481133002, 121.25484470332829, 121.84758969355249, 122.03436368629143, 122.77050352780587, 124.53766990450839, 124.9216291263841, 126.5982362182671, 126.68567756611827, 128.58372636193047, 129.30536996986802, 129.37486864733583, 130.999336506177, 131.51833065801247, 132.1255276450101, 135.36429411213945, 135.82750377437367, 135.87908269354676, 137.6134600301728, 140.61294732308596, 142.12820609409704, 143.41937980366188, 143.54109048074358, 144.4419071955358, 145.52417025965204, 145.56148250195869, 145.90117525982848, 147.11177183352493, 147.64045895090578, 148.34228915994046, 149.06353068205533, 149.70880363917564, 150.09547237169784, 150.84623993109253, 153.695879304149, 154.65982754508084, 156.75105198109452, 157.16949123757306, 158.43558389314396, 158.62179159008195, 161.87588844229188, 162.03690535490458, 164.14837425390081, 165.29876437888416, 165.93257351102605, 166.41313824255661, 166.51156618169045, 166.76899603022005, 167.01656639318807, 167.6318348139462, 171.36888850724083, 172.1925538471279, 173.25013813284338, 173.86281191346606, 174.39944540141084, 175.20989611329296, 177.25711940251259, 177.69719855640037, 185.18017013920453, 185.55124792171634, 186.03182322113125, 190.9177125914085, 195.2427388359767, 196.16184335656254, 196.6366518671887, 197.71597689220658, 198.16812769698689, 201.72565682642039, 204.10879075279021, 205.45748655745564, 206.46949081335822, 206.95571262265898, 208.84628560193042, 210.26252456835218, 210.69901231744637, 211.61625046775444, 213.02560175553774, 214.56559841762083, 214.8866927810964, 215.95082068793076, 217.07326982067508, 217.49742718645535, 221.35362986890749, 221.8109915186466, 222.30950205343029, 223.47392584803646, 223.52952465653664, 224.56389543143538, 224.84327102308606, 225.4790826281434, 226.91478445279782, 228.00545708733247, 228.06338598178965, 228.48215731841344, 228.50270204747116, 228.71381488099522, 229.34972966022931, 230.01770499401258, 230.05075210498205, 231.51199993448154, 231.67270908056335, 231.80524649830713, 233.64891035228328, 233.73898584917103, 234.86407404301025, 235.14304031322831, 235.23252149602206, 235.40728288776145, 235.56106277412565, 236.75400450936809, 240.21772153389114, 240.55425992372145, 240.62612895102689, 245.42800999751395, 245.51435347891197, 246.22665119389231, 246.7506477941478, 248.00604589401516, 248.30400769412, 250.76141959763598, 250.82455063513046, 251.37719907348216, 251.61964493352147, 252.85927806237322, 254.3074999464101, 254.41088808395574, 254.55392075002325, 255.09229906950179, 255.96378780530441, 261.02229336994031, 261.45046344692861, 263.01297791709362, 263.29191278299817, 263.51485100742389, 265.10184038653068, 266.54223433262604, 266.9913496242832, 268.14903382364537, 271.64686886618261, 271.86672880808311, 271.89320676603108, 272.01908959260487, 273.38824316168865, 274.37129724922409, 274.6898774495728, 277.92474859515534, 283.10668657078054, 283.28446450320615, 283.62555315121557, 284.97379510236874, 286.14115908348265, 286.31140313660177, 287.41087221307521, 289.78116788919993, 290.06644801821966, 290.68143974566703, 290.8522619424582, 291.27265126341769, 291.85887410315166, 292.17847216953515, 293.87817539596398, 294.24950484516307, 294.75533211713002, 296.20880968032253, 297.74405632272175, 297.86232951528672, 298.04784858533435, 298.07197633512135, 301.04683835980728, 301.78732059712689, 302.86376219297478, 306.49879435539202, 307.60272077168389, 307.68757254555788, 311.6574642689896, 311.85971864075225, 313.20336663021942, 313.56389170600045, 314.51611576904384, 317.72950569678187, 317.79301422441858, 319.47104350859757, 319.91776036106506, 320.61659492775669, 324.51379350715649, 324.90278296824431, 326.58625786815321, 327.36697607061637, 328.30404607610376, 330.68425902470034, 330.85585100955404, 331.5781764286088, 331.627928319283, 332.09773194219326, 335.07744682560912, 336.24982691460605, 339.56339866870053, 339.6184921299718, 339.90521502579981, 340.65309042306018, 341.78504418407687, 342.44912072253737, 343.92230878137923, 345.5535598671562, 346.33854844918795, 346.57136132569804, 348.55918107233941, 348.84291123490107, 349.09657923377119, 350.71432659900444, 351.31236275235096, 351.48173229443722, 352.82370401793918, 353.12673396098489, 354.36103760016641, 356.04169725891416, 356.83709611866357, 357.09981989555462, 358.37875333138265, 359.06452739539088, 361.10950656062096, 361.36747729469715, 362.30330118407437, 362.85321499453346, 368.01986332303778, 369.53301306791928, 369.956307344609, 370.2454086176586, 370.78532549627135, 370.87624907085694, 371.69830971216305, 372.25377689363319, 373.19943341281612, 373.59867625792646, 374.08135406554027, 375.6751320126204, 377.67806582574468, 380.30591221928626, 380.57178320936629, 381.24702516659266, 381.34784185347985, 383.29212966353998, 386.52461703657872, 387.07749302365664, 387.24763945330977, 387.33338273180135, 388.02749451537773, 388.45296724845213, 388.74541412040276, 388.89988830391786, 389.11204675609332, 392.12076889929591, 392.34980030258191, 392.39926246268885, 395.57376306526072, 396.48763444203462, 398.41063954752303, 400.25489695322307, 402.92979007351443, 403.45367406548439, 404.21293799757166, 405.24791062013986, 405.57753591657274, 406.38027143682757, 407.56875572192752, 407.64488661754501, 407.96197497496678, 408.90728351069555, 409.18156542426738, 410.97133559054305, 411.50301869755367, 414.68266845431828, 416.56999618491557, 418.87356610430186, 422.32050739581246, 423.04550865354713, 423.43427979303959, 423.85999420063524, 424.4246481687955, 426.70226633085377, 426.8754773695303, 429.39873002987207, 429.71544856412049, 430.00999885825343, 430.79232756487016, 431.98811555378319, 432.83323280504499, 435.19941102766353, 435.37245435014415, 435.5225398219103, 435.64742393176766, 436.23129185331868, 436.27474857628516, 436.54136837627368, 436.63196985755627, 436.81424128136479, 436.84768545896111, 437.13271955687105, 437.36296103163056, 437.93661807834968, 438.31666827499322, 442.99097507974204, 443.32799280716398, 443.72132042360528, 445.82005710827849, 445.96907486531421, 446.69995779788121, 448.38444923380871, 451.05417949108539, 452.32848103041357, 452.61323383875839, 453.4026363831893, 453.68996914596613, 454.2986293689741, 454.3457243016897, 454.62667041167003, 454.70024255085531, 455.49590439838056, 455.56730095539621, 456.19012436674262, 456.67435027423056, 457.70813345801156, 459.43804804023728, 459.75102855334512, 460.61068526609711, 460.65651709490857, 461.11994987260294, 462.58547102658605, 462.96225102488637, 463.85421238162087, 465.85450803683932, 466.42181167657947, 466.93352164344901, 469.56446983163386, 469.65420435075873, 470.19271467402257, 471.18439036093332, 471.63236466482107, 473.33658780254666, 476.10094851230008, 476.38851799483297, 478.73840199863395, 478.80056211757898, 478.99023125606573, 479.73589386098024, 480.76595611543405, 481.02640658145015, 481.47089544855061, 481.67784689768541, 483.2672165071977, 483.43252244317705, 483.62012165652402, 483.9597679451366, 485.71348145746038, 486.32255040678444, 486.36582566002699, 486.88024780678143, 487.69191461557375, 488.60668108437051, 489.25996980238409, 491.50489470529493, 492.09417628859552, 493.25557523337466, 494.07280088512169, 494.43952203608239, 495.52693723292049, 495.68081081182805, 495.76790536853576, 499.09334627163327, 499.34368743229948, 499.68075420222345, 501.21215827330144, 502.04625261452912, 504.9354358144123, 505.65253657413001, 507.87086281427793, 508.58248673642436, 510.56027170378707, 511.27320661808733, 511.47831958432693, 512.07882689391454, 513.77869336362244, 513.89526654651638, 514.00988048959482, 514.80564006977102, 516.19644860855374, 516.58782394042134, 517.74276629626615, 518.55654015867356, 519.1677773435772, 520.41502774410083, 521.27399607069697, 523.47627140439465, 524.36830351102878, 525.73940161924565, 529.90775953566583, 531.316552896801, 531.6125770862127, 533.91661900609552, 534.15527376116142, 534.79851675153873, 535.43746777167848, 538.41478999450078, 538.92650774760591, 540.95335033899312, 541.27388243768098, 541.39644417051443, 544.38555226145684, 545.96816432973628, 547.59657849069322, 547.63562347745813, 551.00444434244594, 552.34346496384228, 552.58700741666598, 552.76337261695835, 555.56925841771772, 556.92545393359512, 558.822853179611, 559.00256613611259, 563.52461680151509, 563.7094151323015, 565.14950572454359, 565.50430765654551, 567.51087892856185, 568.70287607450928, 569.76971658068953, 570.12832499836441, 570.87388421418541, 571.05478758964955, 572.28602805923731, 572.48442813443762, 573.34529777721878, 573.93957361827074, 574.37211912057683, 574.77544989060857, 575.4405491898882, 575.63868614773889, 578.94351620780924, 579.65842893337197, 580.06697844369887, 580.24220035612007, 580.81765273028429, 581.41087279267276, 581.84418387720109, 582.08760575224665, 583.03424766894113, 583.91655007808231, 584.1904982981124, 584.9732584219779, 585.11898629567179, 588.71252425852049, 589.85579771216089, 590.75106249886278, 591.41931163383344, 593.85895566126794, 594.1949168878831, 594.73258195940002, 594.98521950201541, 595.61771590634851, 596.30648253991171, 596.50326918046073, 599.26951254472874, 600.96753745475178, 601.33971610958145, 601.9968898031866, 604.89643057719638, 605.18671390273516, 605.30398680874441, 607.58745734315733, 607.67029775406991, 607.94447222091708, 610.71511425115079, 612.01351972656096, 617.93119328796274, 619.47911744997134, 620.02905551880053, 622.1830767129029, 622.95232618455998, 625.7972474387343, 627.83229327679123, 629.633348382441, 630.18744885723413, 631.44067171982329, 633.94296957257598, 635.48967955287139, 635.58442109225655, 636.32777025221458, 638.28114523975921, 639.20288798530328, 639.56815413622735, 641.11472169220372, 642.36020057759981, 643.35394458686187, 646.8163417367216, 647.71859187409564, 649.12092062400097, 649.25938736069486, 649.93847403081941, 650.11694318889408, 655.77702241033171, 657.53452109753994, 659.15605318542748, 659.71706528349807, 659.96008912768139, 662.23173631136649, 665.70925170595149, 668.87683438663851, 669.86873644299305, 670.48636880694028, 671.37343829584745, 672.3003466984535, 673.43091062139797, 674.15830182598256, 675.19729896979209, 676.32516536898504, 678.66203517493045, 679.26480698861576, 679.78432713410268, 679.94359125434596, 680.18920711868293, 680.2312683653272, 681.67098883429264, 684.58718172666511, 686.1021374357282, 686.30086225390687, 686.98851376495884, 687.13835663929876, 687.62297631544084, 688.30311889392976, 689.24475571710809, 689.40853229497372, 689.77155824627573, 690.89653904740214, 692.5744944598049, 694.78015808485452, 696.28543436038001, 698.99571896122427, 699.87244394048344, 701.76798982882804, 703.02304967475561, 703.24722778357705, 703.48719816416849, 706.51263955907905, 707.04574737820212, 707.82435689556712, 708.50671915150519, 711.32963693126214, 713.37372723107615, 715.28379704629128, 715.44638306156753, 715.90537919824521, 716.06628404581886, 718.20008624175466, 718.97875551775405, 719.14300774975538, 719.49183162994541, 721.13649524731977, 721.48260449356735, 722.31358774715807, 723.01824490828074, 723.23861283238853, 723.70381144697274, 724.5672712936547, 724.83274575456323, 725.24759957110712, 726.95304922578703, 727.01258902237919, 727.56717929882893, 728.72113473746299, 728.86313341397704, 730.69329628719106, 732.35133213154802, 732.82337931195798, 733.33325705287302, 735.97656149281954, 737.65638740591805, 739.23591626589155, 740.33197507398404, 740.43355927923142, 741.3901545979096, 741.74145671583426, 744.42369851784588, 745.15972944679163, 745.30740919783977, 747.93221274316147, 749.75874424511403, 751.64659160969632, 752.39645192429077, 752.60968465957512, 753.57195011935676, 755.11776720645003, 756.01775498984159, 756.35399088667896, 757.19055861380491, 758.04712634785608, 758.4627717721919, 759.20860352145746, 760.8019940001883, 761.24147031943323, 761.62036799036821, 761.82305399586869, 763.04255706459787, 763.18668754971998, 763.56685993333383, 764.97435907251884, 765.62321044275609, 766.18003246216426, 767.34556935864714, 767.82969134451491, 770.20474322704115, 770.24652634378799, 770.96215860597113, 773.8683743812544, 777.60472497705496, 777.83314490337307, 777.93048366459891, 778.4710597263196, 778.59814731085339, 778.73696425778849, 778.82570278255844, 780.69167357318941, 781.49288983760425, 781.80736303462402, 781.95785005566631, 784.68158826572449, 786.47258509848371, 786.88105487038843, 787.98757697062422, 788.73780267701716, 789.32780204158007, 790.14338940543303, 790.67693095156153, 790.78903613602017, 793.79881865180369, 796.42953575318779, 797.09364830948471, 797.32359415630981, 797.53212673223072, 797.62560810119066, 798.54286480234566, 799.20993707510934, 799.46698592097232, 800.3297624991103, 800.85733021734211, 801.85652124093303, 801.95146173779551, 802.69942134086398, 803.8826796877388, 805.74576231236995, 808.36876080781849, 808.56174644533507, 809.30165951973106, 812.1373771967676, 812.89095508133448, 812.97500165694078, 814.88139489574473, 815.33183150649143, 816.81978264775546, 817.60169836295654, 818.47947535181788, 818.72820385664761, 818.78047838961106, 818.84300050097738, 819.30857520226243, 819.36266049469077, 819.98463660486209, 820.40492716511517, 821.47633484179983, 823.2771145957729, 824.58405859359834, 824.89402705474799, 825.89509867864399, 825.9851243031934, 831.40907610109582, 831.67421520128187, 837.98997676142096, 838.48516785284312, 840.68135916607616, 841.32839943530757, 842.32050128231242, 842.56992533286905, 843.14409672994123, 843.86180709321638, 846.01763077811199, 848.11827145656832, 849.72289610708913, 850.04192979795971, 850.69891942947959, 853.05099824125944, 854.13059098797964, 856.29862970745, 857.17118374340748, 858.07744206885548, 859.07138422072148, 859.20436959998187, 860.87983152000254, 861.76544061317418, 861.96000768491331, 862.49780184723477, 864.61615786721723, 865.23773607699366, 865.68004694838669, 867.03184161655236, 868.54889756547459, 869.60411387249235, 869.86868554191801, 870.34417255255528, 871.17334669157572, 871.50965538375101, 872.51927091035202, 873.01894775271853, 873.47726495327345, 873.89533691859936, 874.53016206456459, 877.4361701214483, 877.46150654112137, 877.50508553163138, 877.94260768454501, 878.46348317999605, 879.76308952628392, 880.41258637500505, 882.20070030739441, 883.92598066212258, 884.9373313876373, 885.33174353911579, 885.84738184400328, 886.46823950063458, 886.57786179835091, 886.60659715442489, 886.77541863441138, 887.78580526354153, 887.98592252380058, 888.68628925338908, 889.54165345472779, 890.13773400214791, 891.07905025389312, 891.37697954313785, 891.70859173910003, 891.84573105001743, 892.20494196549407, 892.79825528591016, 895.33617459597792, 895.46811121715405, 895.58275774855565, 896.63528336405011, 897.01072023962149, 897.33377602242558, 898.29432909915772, 899.46642694686284, 900.07016596364599, 900.31723815175542, 902.43310299292898, 903.2947237121806, 903.68848525459953, 904.83435176411365, 912.12201478025531, 913.37684195027555, 914.54563208829666, 914.81858009485575, 915.13682228431867, 915.45495919113466, 915.49924445500346, 916.9206685876311, 918.11346623965926, 918.96875105253866, 919.47791851861791, 922.64107488898003, 923.83561148288891, 923.92280047551503, 925.29362841407794, 926.00698732838987, 926.20051551643996, 926.42999140403981, 926.89802071331349, 927.10484131492922, 928.89698515600708, 931.14380163592909, 931.62978020238484, 933.71645730268335, 933.8152464947882, 935.43388734601911, 936.77683937057384, 937.09261387643505, 939.45239588449851, 942.1604204900267, 942.25219627183822, 942.49802188518834, 942.67633045174625, 943.37245963337909, 943.43093038487109, 944.83449481696186, 945.55239585880736, 946.56855619743999, 950.23312372804776, 951.47021660429687, 951.57015420124037, 951.59113361324285, 953.82002781700839, 954.13749376404928, 954.85243286812874, 959.37693056524949, 962.40521556668693, 962.49055541694838, 963.82663055692058, 966.42275257286985, 967.6279708266643, 968.6830638191966, 968.79621361456179, 969.87220468943099, 970.38140867541563, 973.03449916564398, 973.71299346185037, 974.2720675115803, 975.25251668329861, 975.36070160648603, 976.40369343499174, 978.52003404104778, 979.08546019846506, 979.78265952528932, 980.01602704800564, 980.26564512053699, 981.01904851796917, 982.73787327582511, 983.57176789043274, 985.18985917556938, 987.91831844513115, 989.38321260711461, 990.02381092516816, 991.66387513196321, 991.74396160503466, 992.00731063860439, 993.76569728261677, 994.91512645017553, 996.46800491186889, 997.08934533125534, 998.68485173330612, 998.78753213391383, 999.666593758055, 1000.9302474778211]),array([12.314790597897908, 12.61771253666512, 13.126857276810352, 14.263605581002587, 15.173118812920286, 16.75640711955301, 18.392802815705487, 19.415958521841702, 23.709027800412361, 23.729372590811955, 24.35596699962009, 26.556577862664568, 28.194107792590597, 30.710032985606006, 32.453798049681232, 33.431505254619822, 35.069284454436371, 36.730839134005883, 36.880194772854978, 37.637875971939557, 37.936844595090676, 39.260008915985495, 40.321745517473275, 41.081255002310094, 41.94869086607239, 43.032710637777498, 43.459673804261641, 43.629728336682838, 46.369270548145451, 46.496708468743797, 48.215080775883195, 50.355872805086179, 51.029106938707621, 52.055421382402137, 53.513281780215287, 54.164709681058973, 54.850949026161473, 55.065164332430328, 55.737472232609022, 56.984670257363909, 57.654813764092999, 58.997144363146681, 60.034982888375737, 63.392639670921611, 64.88051890761632, 65.077582092406317, 65.148647680619462, 65.800700891989109, 66.295340416135346, 68.277069351861655, 68.413557308373882, 69.326865867933336, 70.978097108511236, 71.546399582504932, 71.65848576461876, 72.926411135859865, 74.365052917535877, 75.724968420891983, 77.448363112490227, 81.504392123559825, 81.812787288038862, 82.798383131136944, 83.855280641476853, 85.913777051737796, 86.855953316119212, 87.303478149280394, 89.575317352792524, 91.569865263423026, 93.385891138689189, 96.027955490174136, 97.026483337502455, 97.135156473395355, 97.321267551108164, 99.698079110117433, 101.30381371674092, 101.7426271798265, 102.52961359129999, 103.10882130948576, 104.92037712255835, 105.45778345831114, 106.24670171760036, 106.51740948390076, 108.14191367849078, 109.0892538130794, 110.11608011159768, 110.46101775335235, 111.48487449897796, 111.7985021556, 113.31933184974254, 113.43409492689841, 114.44885742173572, 114.91859425845747, 115.84608802234577, 116.05672889163191, 116.31234576636083, 116.48550065447235, 118.54307983734245, 119.74833787196259, 120.16993212792114, 121.16494634739787, 123.51699787519931, 123.8165100374658, 126.01781236844731, 126.84660533168406, 127.00628906042422, 128.08587954363279, 128.38745300258213, 129.43951702345717, 130.75846568324698, 131.56789900614299, 132.95399407465891, 133.85625004905552, 136.34868106294445, 136.8095740280713, 137.12820017778498, 137.41987608746163, 137.59606414087347, 137.97106874014091, 138.94579445198988, 139.9043015571032, 140.14427001782514, 140.51930078555483, 140.59382364627047, 140.66831657805849, 141.41257275290567, 141.69059179431858, 142.00832906546867, 142.66518788546071, 144.64610597090331, 145.76227340937228, 146.92382780400425, 147.55526517808315, 148.56137558365864, 149.78402760724379, 152.86225404232366, 153.35274432910865, 153.45269000009267, 160.07732737029588, 161.2408145007561, 161.54171436908709, 163.57615455901532, 164.1209245309401, 165.48181039052352, 165.63306620788322, 165.68929423136638, 165.91345381268874, 167.26131551252934, 168.16663842201314, 168.65982562830288, 169.25718530592005, 170.02908905333899, 170.38348794731453, 171.98445716838469, 172.98629686955962, 173.21333192525046, 177.86556504717251, 177.94752083664943, 178.0193892951558, 178.35546280579211, 178.80523857466542, 178.84909803819249, 180.68299804024886, 182.00443958518071, 182.41395155630025, 185.35589213824426, 186.00265382680644, 186.54469095091667, 187.69204695253404, 187.75024427324595, 187.9633957273206, 190.50630510676299, 192.08212994880267, 194.59073049329106, 195.32185174157823, 196.92901776857138, 198.51718642816439, 200.10529541567755, 200.38216686446023, 200.90754697313861, 201.08075185815426, 203.9688526280141, 204.61965052984328, 208.17681576476153, 208.9947393657815, 210.38216675434757, 210.65557534608016, 212.40888764126692, 214.6507739330803, 215.01498907140734, 215.43935926609265, 215.94612025052677, 220.53610391681303, 220.85758573477568, 221.62880242762222, 222.68838224014638, 224.29219273361912, 226.94065860061292, 229.13717146004475, 231.1373877638182, 232.98115822120744, 233.63936682604813, 234.72425229588586, 235.60991500433016, 238.44547057338997, 239.28078497771017, 239.38916079410797, 241.51908665180315, 243.49804168453505, 243.65813789068875, 243.73153750630826, 243.89507756966688, 244.41413285188605, 245.96562856617891, 246.08841040984896, 247.59287789211351, 248.04083005067511, 248.68079876560353, 249.32890970536644, 249.56127262370052, 249.74128998325179, 250.11256888316822, 250.79259719671964, 251.21829389099869, 251.38241525955257, 251.91956339767069, 254.56886277767711, 256.89087382747977, 257.07189536874728, 257.70246551132016, 258.21145800788116, 260.52429550683098, 260.97683369850489, 261.20430808102401, 262.65386364435693, 262.67642366033471, 265.07886725729986, 266.15797717551618, 266.96712609756361, 267.85821826811849, 270.16679212567863, 271.18128934667646, 271.84944978625475, 272.80795567333638, 273.23724621309657, 274.05400641149964, 274.188021506204, 275.90287894162873, 276.26599948123567, 277.60045396319134, 278.42167264397477, 280.51215277507106, 280.83526965609997, 282.28174993166624, 283.29533715586047, 284.48727615612228, 285.98480518501026, 286.25361253485556, 287.47688823974966, 288.58485473817444, 289.4542220318084, 291.48250334035305, 291.5508404225871, 291.83972673699799, 293.4015541062908, 294.70581015956884, 295.82867515068381, 298.86278557059791, 301.62969969890861, 303.40428132261565, 304.69509704562267, 305.03625616308921, 306.52021624736574, 306.98017022670803, 308.78716825918423, 309.54676590999048, 312.22122093357524, 312.61208442666924, 313.38349725903208, 313.49663864480493, 314.60975521081912, 314.81261517813658, 315.73854461133942, 316.06661260936738, 317.27065911683331, 317.65566611588264, 317.69364812635968, 318.30515578309388, 318.52668701095143, 318.65240277079641, 318.93686932915551, 319.02738930181329, 319.75213552994325, 320.21100323271725, 320.41387963145496, 321.01625910378266, 322.14266827080252, 324.65707411907664, 325.66720061277152, 327.15863910447331, 327.62762993981852, 332.70804153046936, 335.71950317989467, 337.1568005191528, 337.66371702357799, 337.946895711293, 338.22732577806107, 339.88288140292326, 340.20060496063081, 340.88285231582802, 342.99290991490852, 343.48464174282861, 343.63348737892977, 344.13975577222726, 344.43429598885041, 345.40201365262146, 346.63924349937326, 347.2092794362822, 347.427459728982, 348.19352000959589, 348.5305390975733, 349.06986936241753, 351.40322127655838, 353.87856480158604, 356.03950183927725, 356.22173372085467, 356.70522943561332, 356.84930391197469, 356.89091041296479, 357.69378037447018, 357.85017830587185, 358.15777653568483, 358.33626951075973, 358.37280261686487, 360.13187176441062, 361.57475836886601, 367.06815168320179, 370.33138547308477, 371.0685780979797, 372.67877947832415, 372.72835208746898, 373.76103456263576, 374.97244395451065, 375.18560264167576, 375.52032475542353, 376.60361941410696, 376.64754180585459, 377.28731050711741, 378.1614608257081, 378.72381127007691, 378.77738672023031, 380.73374106793187, 382.72629945398717, 384.15603381067052, 384.97863106275912, 385.52306910010287, 385.60270027922388, 387.42661376253471, 390.71764478446914, 392.30648656773752, 392.64441640808235, 393.50678472568296, 394.30767044170443, 394.49347922372397, 398.46597819519133, 398.96885377024574, 399.36171869951659, 399.44483894905682, 399.75974252162416, 399.98227236221692, 400.81313800906253, 402.22431554957859, 402.49189531008835, 405.00206644628315, 405.30520069523328, 407.0813676005651, 407.75843421823788, 410.42441666443739, 410.51598874996432, 411.02960052396406, 413.52179305118557, 413.62191714909324, 414.15835812258933, 416.0573750589927, 417.62678643463892, 417.67668236560354, 419.74042498492503, 420.01330087338243, 420.8944813895796, 423.86162666154064, 424.68161116393929, 424.79357469199846, 424.82425954517782, 425.17858248546588, 425.60704190953248, 426.60486592989236, 427.03637611203737, 427.30465214753451, 427.58499083742947, 429.48450057259618, 429.51693458871887, 430.41649974487314, 431.30407081627351, 431.86988311923011, 435.27508352962587, 436.68246974088981, 437.12940154288879, 437.47039302339783, 437.6268667586196, 441.29197915685421, 442.33241386041783, 442.67243502034728, 443.03508103166894, 444.20557233709962, 444.40309350899929, 445.90582191242896, 446.4741198668483, 447.09951342543383, 448.78341667618156, 448.97310671375601, 450.72926812793128, 450.77004272452552, 451.21199368162269, 451.94688264953624, 453.18425843219592, 456.47875412423031, 458.01336991098776, 458.49150789743044, 460.92878897032881, 461.16540675596247, 461.49045663244954, 463.29967353008556, 464.11895919394414, 465.20322167741995, 465.29978638013614, 465.77328359712783, 466.19143837139376, 466.76150458230603, 467.60796619360519, 469.13365552677243, 476.51030071307588, 477.84029665860749, 479.00370558378955, 481.09131061638965, 484.46955555742056, 484.87615019373527, 485.55860042378572, 489.75199933409078, 495.36169217612638, 495.82300739460783, 497.30359376052877, 498.7134423828897, 499.73255036316527, 500.64609901489058, 501.28085527366289, 501.31409308507926, 502.09669378869756, 504.58772334261488, 505.51821112181153, 505.75151447088518, 505.78790816040004, 506.12087054276014, 507.70869987870856, 509.48547184991423, 510.40894411780425, 511.54107642822038, 512.03696118415212, 512.53024381899718, 512.880392147169, 513.59092810751133, 513.91096493544387, 515.06669268153962, 517.00968125724489, 518.43843029676771, 520.4147133830545, 520.86610005778914, 521.04200285156708, 521.38642685669788, 521.89957792926384, 521.9715884592971, 523.44978035090844, 523.97876962805492, 524.73570081202786, 528.54501345471749, 532.69928718629478, 533.78233525982841, 536.35901783403983, 536.97452525419169, 538.34105461747947, 538.87530121689827, 539.30535892189016, 539.40905857298287, 541.24540706535674, 541.82586650817211, 543.74710599215109, 544.05942900686637, 545.67009124062849, 546.20814217127554, 547.08455356422473, 547.36843157227577, 548.64944400515219, 550.83373687066182, 553.47709646181397, 553.64941372292799, 553.83522148761199, 553.98954824853058, 555.12804923447084, 555.91348437402587, 556.98611284752667, 558.20142228957377, 558.36420080374535, 558.44912017577735, 561.81793496397324, 562.95163808507255, 563.13697199882074, 563.33797345940593, 564.04659019803921, 566.84207530285789, 567.28954450261801, 568.54923613434971, 569.26775331280726, 570.02385212326919, 571.51063207894219, 571.88765618180651, 576.06592243817113, 576.49142023197885, 577.90288108721143, 578.16170157778254, 578.2123100524484, 578.66620056790032, 579.76794854711079, 581.76915011324763, 583.83137566861035, 583.98053887758408, 584.15906993199405, 584.45795001700776, 584.56602419358285, 585.18691891987476, 586.31750256229907, 586.89967013228579, 587.95373219763633, 588.12260340272132, 592.00339549221724, 594.79726636643159, 595.18529542627061, 595.31865897047999, 595.54870991034886, 596.17988828721923, 599.70170260535019, 600.13472679571225, 600.5504562927199, 601.09185907560845, 601.11207330409752, 601.47941040043725, 601.80567805396299, 602.26143104546236, 602.81385305246124, 602.86367977333748, 604.25467483632724, 605.05428326346907, 607.66560388084042, 609.16898005317091, 610.31893760458956, 610.3800452939397, 611.90313420703922, 613.01047510071851, 614.71811277557958, 615.49984381137676, 616.62123001649456, 617.97067761403241, 618.99285054429652, 623.42336109262078, 625.04033755048147, 625.37773093939256, 626.53461032271559, 626.65666724629489, 627.04722515686694, 627.25766626335599, 628.54778952090271, 630.18745088086882, 631.10622283552448, 632.22806237043721, 632.27151129762831, 633.53201151382677, 636.35422210011484, 636.4368915363799, 637.87981703204014, 638.19375136479323, 638.50563610372228, 638.55775053534046, 639.11321512949917, 639.2231815880873, 639.64661854522524, 640.75954621442179, 641.27292856159534, 641.37367243490587, 641.97418115758421, 642.82018694562646, 643.71187722246771, 643.7460463809, 644.22509644742502, 645.285990397722, 646.10429943214967, 646.69237102595207, 647.51744126078859, 647.53941838933724, 648.18430863166839, 649.48492155540328, 649.543415833783, 650.52946442486882, 650.96405674978803, 652.85116695550221, 654.12422756676074, 655.63048136994337, 657.29145079107616, 657.85145081876601, 658.66511517187928, 660.01988284978324, 660.75006667670084, 660.81538231140019, 661.04301634052285, 662.651898994985, 663.39027122383436, 664.74469768708047, 665.43525214933857, 667.61523800668169, 667.72127466198788, 668.15476715350894, 669.09427595280431, 669.47316398632211, 670.19592986997225, 670.88229595783866, 673.32972200386769, 674.85857341023643, 678.41442753379954, 679.46826229111207, 680.62883484821941, 680.67925330878097, 683.72986553567796, 685.19703021115458, 687.31673855226495, 687.99909745278705, 688.23376104421129, 689.51983726178059, 690.66762104492648, 691.42034939971893, 691.63363923707175, 691.75651285638742, 693.22168750030664, 694.28630405061301, 695.75663873408359, 697.31683515034752, 699.29271059037478, 700.19452428098225, 702.52283640341784, 702.91195522804333, 703.32398160315017, 704.61258576505202, 706.27947158514553, 706.70357371973239, 706.94326456247495, 708.15309450229347, 708.62954122169151, 711.12432875322213, 711.95086765735869, 712.09044396988429, 713.49517315793025, 715.60950439166493, 716.81734535368298, 717.56271541991612, 717.66828374971874, 718.22101953092215, 722.18223437332131, 722.35097210058007, 724.17812524804049, 725.08505742594537, 725.28478793691909, 725.66137942017997, 725.88303116033626, 727.71673602436567, 728.64199336820229, 729.74102447057419, 730.24692937646341, 730.43142927810686, 736.74406325093651, 737.43277430606713, 738.07045721237489, 738.700636357554, 738.95298726136571, 739.68412313864053, 740.99582736813977, 744.19867288104547, 745.01827151691532, 745.70494350048648, 746.56997988337309, 747.8454033145905, 748.04376361370726, 749.97481255613832, 750.05155319643688, 750.37462689224662, 750.90625756387112, 751.5210144659336, 751.56449955603648, 752.0947205998782, 752.16392479851982, 752.45310236718217, 754.24357631515124, 754.78569216404549, 755.14883426904635, 756.25339504405622, 756.53254352285421, 756.87053848938672, 757.24167284640259, 759.15016300875777, 759.54073532947473, 759.58628995000208, 760.73473253489738, 762.2768120976516, 763.10207450646033, 764.82989464509899, 766.43447142400839, 767.26924840286836, 768.30942510723003, 769.46300275000203, 774.20114484069757, 777.62912136073749, 779.99881345270808, 780.51409439876147, 781.45480925230174, 782.50249185205257, 784.41472008882988, 784.51237661352343, 787.48063980273196, 790.84831562219085, 790.89624385755417, 792.14496206681008, 792.4348612619026, 793.16716114522308, 793.51535998716304, 794.40811474897441, 795.49389854554579, 795.56605764346693, 795.92295682742849, 797.43189886603955, 798.61224870426702, 798.96798936637254, 799.06369403905796, 799.8300561367638, 800.04634925961295, 802.03156311944986, 803.36632306327556, 803.3974007108194, 805.38783908659923, 805.46129080599803, 807.00798664904767, 807.53733081762732, 808.22766751990184, 809.05211869726668, 811.61750889824646, 813.89276198627192, 816.5382170164138, 817.1128026931907, 819.26509319648858, 819.33968970960063, 820.19777895161781, 820.27199470428252, 820.53595148104614, 826.2353730748149, 828.78778033902256, 829.26185067902543, 829.92238920231455, 831.38707934365982, 832.62883768473739, 833.79384685259311, 834.83172600579064, 836.43294918911511, 840.22344880663707, 841.24700237256411, 841.47686290629406, 841.61605610428171, 844.22042154877079, 846.99043155348352, 848.24295811676461, 849.2023509188034, 850.53844556057015, 853.76125122288397, 854.96780354779969, 855.51223590191876, 856.21438372711827, 857.68143525114874, 858.14555603146903, 858.17823612058874, 858.63323530258492, 859.29019950208601, 859.74188079505393, 860.31609087046809, 864.17764457289388, 864.28213937339626, 867.30089377763534, 867.87598046843232, 869.20933578939002, 869.71689537426312, 869.8888781304546, 870.92068720541647, 872.7875052917492, 873.82965624703252, 874.45193927126559, 875.6198971703194, 876.32397429745765, 876.41331742262287, 876.92017701982536, 877.36592677074384, 877.41391470707197, 878.36240667312586, 878.97105864642424, 879.12130470862633, 879.48059377153106, 882.89596164610487, 883.56808330017873, 884.62471067970523, 884.92282500173997, 889.11227861618988, 889.5796044532683, 889.8133160726469, 890.40559336816045, 893.28761768015204, 893.90102329056469, 894.57619616266811, 896.74544990267691, 897.07028327352248, 898.79166265579113, 900.65683769963402, 900.86907657012728, 901.23748414338513, 901.91461204486666, 902.24844607431407, 903.42402615907088, 906.35934684442213, 907.07547092740856, 907.28738324263827, 908.18699621758583, 910.51710921624999, 910.58440984683227, 910.6252915487247, 911.23424563658625, 911.92183977099205, 915.56480061592322, 915.89580187914817, 917.30360706964814, 917.66534000824834, 918.75595988781811, 919.5583117038309, 920.37420195055165, 923.3445689375958, 924.12135505968524, 924.15287275274818, 924.20752090359508, 927.30437301109964, 928.80315570717414, 928.91088766366852, 928.95840639817197, 929.18918372788175, 931.93353402702905, 933.27903547886433, 933.6681389013562, 933.80947931026549, 933.97532565182212, 934.28828799014525, 934.56399208019161, 934.71497544472243, 935.80720516271015, 935.85915366968163, 937.14585542841633, 937.34327257109692, 937.44043454487371, 937.52756786166276, 939.66018374573548, 941.47135333916196, 943.03942544844438, 943.82634761095869, 944.46914234809356, 945.43329153187665, 946.4190962375784, 948.00312773179849, 950.45542436980884, 951.28580145874275, 951.66233561355364, 952.36226471714713, 952.49767574601401, 952.74045720811273, 954.08284628649324, 955.07217111359807, 956.50071699106854, 958.44936325157767, 960.06317875053855, 961.6878546031644, 961.83737665878414, 962.00974046382294, 962.99902033556816, 966.19182186385831, 966.91066883461895, 967.31438318155847, 967.57170463637976, 967.66187112480532, 968.63493587729897, 969.12752122773884, 970.44322281957466, 970.97317813877078, 971.12551777556882, 971.38829099021268, 971.69869553342073, 972.22726262137076, 973.11245507903493, 973.52347426960364, 973.84542384128952, 974.12642849414681, 974.38788427829809, 975.26744521896399, 975.46515713465647, 976.08880558923363, 976.52045724487698, 979.64712043357906, 980.17599192048203, 981.50699777864543, 982.08653437756141, 983.02716039436382, 986.38115190933365, 987.33401595572832, 987.41186366178385, 988.50616082486181, 988.67873163220736, 988.88064314741462, 990.95910886155411, 993.06969029171501, 993.23066833251778, 995.10486669740192, 997.23360229964965, 997.27787116165018, 1000.1294975379418]),array([61.24874159047372, 61.515091864087822, 63.043036008993724, 64.628364461865004, 65.131596230412626, 66.831103663524871, 68.414514528958478, 71.38414703862081, 73.260122570681645, 73.965441083190143, 74.558561308196019, 76.6163405840704, 76.97355510127224, 77.044435635407055, 77.498410704630999, 77.623340588950427, 78.15576471321846, 78.287706760358617, 78.702547249687314, 79.235276237178596, 81.729010271332328, 81.784714694904963, 82.913045037323812, 85.239090380263065, 85.889139719482671, 86.189877007233591, 90.98676471130608, 91.125934087344362, 91.665564200843718, 92.953719878189474, 94.314971686788283, 95.680001170577, 96.218132956981137, 98.507649932807823, 98.72142980664745, 100.44337633980999, 101.27676043159485, 103.11113771386317, 103.27829318449068, 105.22597972603488, 106.17304043378621, 107.98411405498977, 108.934277115371, 109.13726908853792, 109.42029533865357, 112.333060569802, 112.46504109649538, 113.42727580240791, 115.19759595833384, 116.98324326538796, 118.73828428811431, 118.80053476736835, 120.43454076899431, 121.74554533426037, 124.80770886614788, 127.45847645060627, 127.7796241557141, 127.91466489962255, 128.46083046933205, 128.96515524665827, 129.83936648525412, 130.77582259865864, 131.50795034198666, 133.15414212588772, 135.95111446957651, 137.82409415316957, 138.42357060031847, 140.99824726018133, 141.27660996156746, 141.37854430718431, 142.56961409390797, 143.89036797054172, 144.05775915562145, 145.45641389089636, 146.16583908487726, 147.90003074378146, 148.29124566637586, 148.84819789821714, 148.94519519803686, 149.49457727986791, 153.3752414957662, 156.85089783447179, 156.96837958183886, 158.33882091566565, 162.4459552792363, 162.5928147823839, 162.63588568319699, 163.19477583357329, 164.50659199520703, 164.61271348288304, 166.45048954252007, 168.12048217725945, 168.77019408099326, 171.32602898880248, 174.80601696839341, 175.95737434629302, 176.69811726803098, 178.12371558654488, 180.78148199882591, 181.3669040032668, 181.42650142956231, 182.65409597321457, 184.55761168663048, 187.85312370137729, 188.51897833011247, 188.64296558924588, 189.25004218951344, 189.96353661837358, 190.01708552971823, 190.51632170119265, 190.75536482486598, 192.55780575363246, 193.98603266091365, 195.06553283257054, 196.06377818056717, 197.8289668295902, 199.39832731012726, 201.53082851877801, 203.49051418364226, 203.54623745327851, 204.1124589530159, 207.74132977339278, 207.93638385486588, 209.93976317220822, 212.30499767911974, 213.55256082601338, 213.68178138204931, 213.8050883853939, 213.89754129932084, 214.35366983044563, 214.71322779574777, 215.98976576311259, 216.63239438533193, 217.94643783619955, 218.68396695822162, 219.58834279825982, 219.61549130866996, 219.93304840973335, 230.55751413315352, 230.92189297158978, 233.60045300318453, 233.68958531091693, 234.00869295823819, 236.1197461999401, 238.0328731697023, 239.67513434163507, 240.47573145026905, 241.84955023802439, 243.04806557995158, 244.75739792965405, 245.13161364130406, 245.46735832845189, 250.31453407253986, 251.48804836809413, 252.37479886160656, 254.9003141990683, 256.35754498162237, 256.98261070192439, 257.55068221956805, 257.86350095520959, 258.14227602424307, 258.33162898251487, 259.394300264707, 259.47527944237697, 260.09994903939446, 263.36214632616935, 263.5998582367028, 264.80983633451706, 265.13356427544892, 266.78723967088348, 269.80936183238521, 270.570228031905, 272.08520504986041, 272.81048492822066, 272.94181920856454, 273.59695160901509, 273.77661008077922, 274.34859227547463, 276.06974675949652, 276.1798233491088, 276.22680558642907, 278.67887638244815, 282.24690255587348, 282.61431678598569, 283.54168728334338, 284.49071016234791, 284.77754248491362, 285.20482315648377, 285.88809908147402, 286.50867045847917, 286.93424872349141, 287.42408231756298, 288.69236895178057, 288.99995346181669, 289.84178705660173, 290.38266705191501, 290.98247001806641, 291.54780631382249, 292.28428224683461, 292.55211097798116, 293.22245456771304, 294.84507463775765, 295.06446303929243, 295.32053193952669, 296.58956910513507, 296.64040296672806, 297.6799417845474, 299.45000517035402, 299.55706498912792, 299.61562776904913, 300.2195942581946, 300.59045867467177, 301.71139393758409, 301.90730867492465, 304.03490336770489, 304.17851388061456, 305.48828720630678, 306.15268257211682, 306.46082735200514, 307.43914295964504, 307.54871908177438, 310.84110715289449, 312.0222935482289, 312.65217844753261, 315.84771366763272, 317.65469766263277, 319.79415780493639, 320.90055182968922, 321.36075013492422, 324.62122458227032, 325.2264095141303, 330.40378748796502, 330.48760149106994, 330.54923132301695, 331.84252245513221, 331.89182218646761, 333.48319403173861, 333.92766166945643, 336.69610124285464, 337.08645072691462, 342.12229740255071, 343.17621031223132, 344.73868213242565, 349.91175786508757, 350.38649020035626, 350.4781574421836, 352.5699612853229, 353.42962406812734, 354.17166736975918, 355.83197115924503, 357.7532080851683, 357.90170475916329, 357.99013146771171, 361.48968617328717, 361.75654400684164, 363.14618076609037, 363.31353725149091, 367.25102872776881, 368.21831688164764, 368.65836743858273, 368.92147335808693, 369.55050500440996, 369.76761961591734, 369.83387076476635, 370.0903327381651, 371.50411267788974, 374.32216593839559, 374.75046389255078, 377.73230808263065, 378.29481318195116, 379.7107976291025, 380.84189307383031, 380.9351971866385, 381.00615207352575, 381.55199867675083, 381.91609725713244, 381.9958373784537, 383.81223981214322, 384.03408925537252, 384.47899149415059, 385.22336877458355, 385.63455483064058, 386.01710069170775, 386.32969414908075, 386.61277572297962, 386.71589849217241, 388.53948070266955, 389.30962036971528, 390.62919742931359, 390.89978051243833, 391.33557604275529, 392.83107335819483, 392.99439913852649, 394.37085044387265, 394.50028956179892, 395.07325687583159, 396.53228402507062, 398.68179999635447, 399.68390699284379, 400.04485835028203, 400.43126545277062, 401.80173809788579, 403.22767407672865, 405.8786418402666, 406.17036447467694, 407.14701265789512, 407.30866019310815, 407.57286961626545, 408.16974971472933, 408.19691662358042, 409.52820327405169, 410.14531162023411, 410.36024666978597, 411.00022391560668, 411.88099584931325, 412.37720860080077, 412.91473560032949, 413.68770200954305, 418.17110802095664, 422.91946136150142, 423.53893545354907, 424.31452532064469, 424.84234482202748, 425.55764178144705, 426.64698446002558, 427.06117647067526, 427.10129879889206, 427.69324511293701, 428.51736345716074, 428.86410356929775, 429.32675131112302, 429.51611049898088, 429.76193844687936, 430.99599941177962, 432.77099981557006, 434.81630045780724, 435.71313799077745, 435.9306464892959, 437.12893900644752, 442.03377835500817, 442.32339453253712, 442.84691331514585, 443.21999237655945, 444.11844328540798, 444.18547793827469, 445.12302449909595, 445.28549718698116, 445.99209999495702, 446.98105466378735, 447.01325958883132, 449.43277598217304, 450.63038858274615, 451.64947734876876, 451.72550932583323, 451.99657232819231, 452.94337203540346, 454.65334843804158, 456.75960472700672, 456.97569097951907, 457.3872391772627, 458.36721101136118, 458.62427426598578, 460.2849518501277, 462.48514803183508, 462.99699852704003, 463.97927619545192, 464.31624863611461, 464.90565303413854, 468.73357270329848, 469.67649719115343, 470.1311723720288, 470.49652823315171, 472.11914464675925, 473.5590261283603, 473.65844960535458, 473.80205114238368, 473.99603796682902, 475.91267677258031, 477.45011896193796, 478.11383946574364, 479.40419056358627, 480.05900823908723, 480.94470790243963, 482.6995615929049, 484.58220445592343, 486.11553818666033, 486.73288826038259, 487.27903002151049, 487.9265959701371, 488.71916628978761, 492.46849612962956, 493.01005270477492, 494.42434687723181, 495.23454324205539, 495.85820686049112, 496.29256846165168, 496.81722009891314, 499.46702241187035, 500.24052945558049, 502.27142187835642, 502.41499292295623, 505.46445079686458, 505.86462701976967, 506.42965860888103, 507.7901884832757, 508.67005184871283, 509.45896836446576, 512.42249246643132, 513.27489270904084, 514.45455339695968, 516.0123677208187, 518.32982072789343, 520.91867445061882, 521.23971410677768, 523.94044345727593, 524.09308151682546, 524.37281593323371, 525.72944326887284, 528.07890874917939, 529.33800961929023, 531.91653264035631, 533.8641799099114, 535.77257793409308, 538.22296788285746, 538.24872600087508, 539.04942846788697, 539.24045337996643, 539.31637316929334, 539.523271777952, 541.0597136741502, 541.60699740764312, 541.92923405556871, 542.44242481979973, 546.37753302363524, 546.49079644326616, 548.37138983244563, 551.08518319570862, 553.30310706743114, 555.96173588254362, 557.3341775993066, 558.22793238022473, 558.82088196146765, 560.03182470398804, 561.89414241186205, 563.25910218649858, 563.78050024709228, 564.1794307164447, 565.26426574058678, 565.58590884751584, 565.75265597351608, 565.87841604189839, 566.24435674441133, 566.35463841216313, 568.28416881542478, 570.79408523261986, 572.57029326014697, 572.79250280483438, 573.34255198666631, 576.04536677350291, 577.44586282032139, 578.04061305888433, 579.4787359976408, 579.70164439343876, 582.54885017231163, 582.74106364361273, 583.31791274875548, 583.43171787495032, 584.18681082058765, 586.64364862395212, 586.92764631126045, 586.974855426045, 587.26027718172497, 589.27271340092784, 590.90643455487077, 591.05875970602858, 593.3650463638694, 593.73592748114095, 594.10250684374955, 594.16407301502045, 594.7271565858274, 595.7181438709863, 596.2314546557019, 597.49449684255467, 597.55598318010971, 597.81691829775139, 600.0367019165152, 600.52048408726682, 600.55455007286696, 601.09537832044055, 601.1249784031686, 604.15637597406794, 605.05626321000739, 605.40284562487773, 609.76318939845589, 611.81076477356271, 613.03120465372047, 613.26658007173057, 614.98432475824313, 615.88217914540553, 616.34463134519513, 618.06920296399801, 618.72971206847944, 619.05715808195407, 619.78979744167509, 620.91456083239279, 620.95749308641405, 621.63026839787335, 622.30023006832187, 622.57800604825172, 623.21077520796678, 623.79084829490682, 624.16018429169026, 624.21275624482075, 624.31230437577381, 624.62443691469207, 626.04519299300046, 628.85549336149006, 629.13900164315464, 630.81509739820262, 632.00011979758563, 632.39297541361782, 633.13862209183367, 633.77019639657885, 635.76668159805376, 636.14534979517043, 636.23880539588129, 638.06370226976208, 638.32287812738036, 640.5429805555566, 640.65316014667212, 641.95639984408592, 642.92710460115882, 643.04985822555341, 643.95323799817572, 644.73627715329405, 645.96359588654752, 646.98830072812598, 647.17927733054444, 648.79084785024395, 652.17524901726119, 652.54419076152203, 653.68711005603882, 653.78848863976339, 656.04950907931084, 656.23224548126666, 657.22242629118057, 658.61566180229772, 661.25428839363644, 664.85347140631382, 667.33809354360847, 668.18820108971681, 668.28383345968712, 668.97309093231104, 670.48414579954408, 671.04971633555499, 671.10467687151868, 672.09152341687764, 672.68293738005616, 673.05456032993743, 673.13488781607793, 677.22105482011386, 678.23137801346218, 678.63442946393047, 679.6733908879728, 679.89386659098182, 680.57545904793812, 684.69873851549482, 686.74867863558302, 687.28500166711081, 687.77176741348899, 688.16011087574805, 688.66046114176402, 689.27162835558704, 690.60882841141427, 690.90651969191356, 692.33783444660344, 696.95423297485252, 698.25765404361152, 701.11350054671266, 701.41592222778331, 702.59546089142918, 702.71480001849682, 703.82102679888965, 704.68406468906153, 706.60575571726963, 707.25603739670851, 707.44365616668415, 709.46512018165811, 709.49311625478902, 710.58344542518228, 714.57376838826758, 715.0425834796855, 716.01188260558831, 717.65932388646513, 718.62426124894171, 720.51246946608046, 721.17788342949689, 721.92267718284438, 723.20228750911156, 724.07658961710104, 725.06781693561311, 725.73444640602816, 725.95513557980496, 728.01769556962938, 728.46027842149749, 729.29315343876044, 730.43210396533368, 730.48394159789552, 730.91238473610406, 733.26813804854646, 733.83751779713305, 734.06270538003514, 734.39582537372462, 734.93675485375945, 735.13213088958651, 737.10876426045547, 737.68048250662503, 738.20123591770914, 738.71191939756739, 739.56126127478103, 740.4776820694575, 741.02070937385133, 742.43209998844031, 742.95858264155834, 743.82019698958277, 744.3539323917521, 747.93598312628899, 750.35851537088286, 750.67416904775496, 752.08775150937709, 752.14733875789545, 753.24213160707359, 753.5032614965412, 753.87242139541479, 753.96492631806723, 754.3795467328049, 754.49254374083216, 754.54073360006475, 756.1653411911791, 758.00225183621046, 759.08470483448605, 759.49122774749753, 760.57173202382967, 761.27959288362092, 762.79287112881946, 762.94365116140057, 763.20206983197204, 765.67373649595459, 766.10946560252864, 766.69059410951843, 768.35274424464501, 769.68639691143449, 769.78402766544718, 770.12518088618447, 770.21891066051819, 770.30911470468232, 771.69250229527984, 773.04183578028847, 773.77786483389013, 775.46537424994074, 777.18349714406963, 778.72554789194396, 779.95359520440479, 781.5398619676962, 782.26232774685047, 784.36465223659081, 786.12333928923351, 787.98837502110814, 789.15459233123408, 789.19087348867026, 789.61424278747245, 791.01656450791893, 794.10155139110589, 795.78547541281262, 798.06639714773155, 800.04343650798114, 802.99749977230681, 803.57343195509554, 804.02793433354009, 805.02814726568056, 805.98827078161366, 807.13984024633396, 807.20633827911627, 808.00126588060743, 808.15817027549588, 808.51619994928035, 809.77652209031578, 811.9646279863299, 812.23494059620862, 814.40020276143355, 815.01679853261169, 815.59837709059377, 815.98450366982911, 816.02210184346677, 816.72661144402412, 819.19458952510342, 819.96584258479345, 820.40623505522433, 821.28563624436458, 824.09558151084809, 826.24683172607286, 826.37932550771984, 826.91150132733731, 827.29502445131175, 827.65594155770646, 827.82341383271, 830.87736234426654, 830.91712553370644, 831.11094175589074, 831.80138582697111, 832.50119453378318, 833.33651347473676, 833.89041138015364, 835.40729354330631, 835.81136598006879, 835.84183100646453, 836.02011237791805, 836.88872697095906, 842.29604109506602, 843.99997764987984, 844.78856917836663, 851.54445709150218, 851.6717384883159, 852.61899553102774, 853.2177014991297, 854.81904468892662, 855.23747059661127, 856.20253876038623, 856.394053229924, 857.15216273985584, 857.51503672890487, 858.26668526767969, 861.28844201945674, 861.53222598204957, 862.11681357256703, 862.16926404923834, 863.23058134698942, 867.16099226498943, 870.59240422738173, 872.9497373661319, 873.16518830605889, 874.03086353266292, 874.38189231505294, 874.71851312478191, 875.06577272424238, 877.56760906477803, 878.59332016555811, 878.68554748881002, 878.94066038296558, 878.98545263026722, 881.02989225514511, 881.92026200706471, 881.95446405026371, 883.38063618725073, 883.54514609784019, 884.40787868668031, 885.61049740561816, 887.00831745891242, 887.59644718275615, 887.82116822553576, 888.73521022004525, 888.82482339423177, 889.14404110963289, 889.2393778650752, 889.8563508826411, 891.45875243405794, 893.09191892873002, 895.25235610878667, 895.70335184942121, 898.33769014537359, 898.9108299957478, 899.001151763439, 900.74474158748421, 901.65098910454799, 903.31711659384882, 904.71158813355964, 904.80738343557357, 905.12141719786223, 905.50376521090971, 905.75927708562517, 905.85745377620231, 906.09579983792162, 908.75445642103398, 910.23220610079568, 910.29200018037443, 912.10636551551261, 912.18583918140143, 914.43614301089303, 915.63959718421677, 916.93852461326446, 918.63365591496597, 918.93359068601467, 918.95900503105418, 919.00642949389453, 920.75007396693695, 921.58833929892694, 922.49887924950178, 922.992982598146, 924.63060961716394, 925.18684536919852, 926.68872373062334, 926.8732991315253, 927.34721988870376, 927.48419689730724, 928.27859251507925, 928.72113714085174, 929.58903440623953, 930.37923426149177, 930.9786113845114, 931.47080713488947, 932.34825825754388, 933.0422752423749, 935.10275084963803, 935.38624996373301, 935.80478382818421, 935.92133289671733, 936.2573743403608, 938.28305170811882, 939.70270280557611, 939.88369240964153, 940.18509221370084, 941.11953440212369, 942.41285723891474, 942.62553350056453, 943.83064988676267, 944.04306998446498, 945.82495288501957, 948.68001868677641, 948.86623963601164, 953.87867818502218, 954.02983017458416, 955.96124505904595, 957.70939923138747, 958.21049213582432, 958.94805449587147, 959.08110860804402, 959.28168590158987, 959.35367432878536, 960.83476508067838, 962.54481862600437, 963.58104775043819, 964.25149953765583, 965.95912639208666, 965.98144798765202, 966.38095760686019, 966.54710332705781, 966.64135692046079, 969.25068555684982, 969.28520475506411, 970.25959960749049, 970.4667225685406, 971.21808871985729, 971.26907143547965, 972.95267951793699, 973.29930310332236, 973.86154470779002, 974.29148051930144, 976.33940822015768, 976.63359008255736, 977.76912172066795, 978.47414558429409, 981.10571630430843, 981.16999104967988, 982.31886352416325, 983.47409858650519, 983.90985232272578, 985.92133067965847, 985.94808032171341, 986.27708858985181, 986.64590504953662, 986.79670780654476, 987.38598071253898, 987.85406666370943, 988.95313363860748, 990.76135980769641, 991.44063342872983, 991.53964451963589, 992.0537403401911, 993.355773153825, 994.92018544026666, 998.03998619648144, 998.15884485449442, 998.95573837356676, 1001.297991978834]),array([53.961921483868188, 54.140533517444858, 54.386399714568967, 56.320836504299137, 59.065992877021998, 60.250685413304041, 63.166135168964466, 63.939967518889034, 64.668788673693697, 64.90044326217091, 65.231027451217486, 65.495981348872746, 65.964850813104931, 67.223086880411515, 68.427125050498418, 69.644489077952798, 70.835117037392365, 72.959102142684543, 73.479039644446317, 74.90263861308884, 75.204867380005737, 76.027609265138437, 76.821161524307087, 78.947166212406302, 80.244300590279678, 84.207455794668761, 84.897908127596665, 85.633703217537075, 86.607319345717684, 87.670017595275013, 88.571735513630387, 88.594036339862072, 89.616061699554137, 91.253867719910573, 91.46737073522344, 92.597965996964376, 93.00646397896621, 94.131939503568503, 94.584869356104562, 96.220615368328509, 96.406647885960567, 97.587882655102916, 98.02828136689358, 98.665681930773189, 99.627517299634547, 99.916585284852403, 100.83095014534254, 101.02775114212719, 105.00654974184437, 106.62678269211642, 107.37526698439302, 107.80659902637522, 108.93651569756626, 109.22300046443942, 112.06881720469616, 112.1488076735796, 112.17367391066998, 112.81401160887691, 112.88494036570843, 115.04109452521519, 115.20062783772296, 117.65899452246637, 117.97910474587049, 121.24686112335543, 123.81976960666947, 123.86521831505684, 124.87561344405269, 127.19232562258611, 128.10732387639015, 128.44232884099614, 129.05308464847303, 130.88858237801199, 131.05597695669627, 131.12985200238495, 131.43346252142817, 131.65889231346469, 131.95125866432002, 131.98790045673269, 132.13063423211196, 133.96678287825659, 134.33848542190287, 134.96737163700115, 138.8436213455829, 138.9019895350194, 139.97561962344514, 140.24443024361199, 141.29751841961516, 142.5026105889946, 143.15914629491962, 143.85200789686874, 148.13009293508819, 149.64812845740843, 150.21061445181826, 150.62761102881643, 151.39608056502016, 151.83891382820514, 152.67495382921257, 153.62430887540029, 153.717061726265, 154.46967039807015, 156.43769709641876, 156.7485744593003, 158.90824913580337, 158.94665945665699, 159.9962242389212, 160.94769806131896, 163.94476916585296, 164.20596598841834, 164.94970033728589, 166.12163104425855, 166.31652147902119, 167.2152856847471, 167.33103279205744, 167.75851828068298, 169.293622815341, 169.78899105126638, 173.91236285228092, 174.44480576734861, 177.20081484002614, 178.22456735896077, 178.43239567325134, 178.76447479320908, 179.63651496580505, 182.12480820692323, 182.46056698618102, 184.08407128231235, 184.77508149504155, 184.88874040718625, 185.72299331069638, 187.82272548431143, 189.07400939351285, 191.44122443366058, 194.93297593331999, 195.31775742955259, 196.03543663543434, 196.06758469740188, 197.86344559504496, 198.0240643283424, 198.4085820479811, 199.92214040573216, 201.65990028709658, 201.73778990956575, 201.87581354206009, 202.5520501925167, 203.73741624478825, 204.0119554571863, 204.30324982671536, 204.38444012505812, 205.56226854022123, 206.08353627872529, 206.10556283353543, 206.21935864279737, 207.88294244693154, 208.17678669673722, 211.42113866649595, 211.97877487761366, 212.23669127429608, 212.31575369710643, 213.08333112371915, 213.33244567241547, 214.91929843153903, 216.56041841970062, 217.29076717018791, 218.91444250610741, 218.98256009543056, 221.01883669610919, 221.09545837488784, 223.18072610605731, 223.45733656686951, 225.24001967354502, 225.77797970261304, 226.65111744750917, 229.10805278775345, 229.32809693091022, 229.58429474148659, 231.38958418377197, 231.53765458769209, 231.5592618590361, 232.20115225304201, 232.4333905104283, 232.62649240262965, 233.96198266372562, 234.18147907696223, 234.5196903181938, 236.01507024220288, 238.24057287863636, 238.3010919306719, 238.49202267155565, 238.59784072153869, 238.97666881702986, 240.30344046450406, 240.75497166679355, 240.89483529932787, 241.16651871145385, 242.04507804743969, 242.92080052786866, 243.16991753439669, 245.97833835659125, 246.02202428045391, 246.2109073213133, 246.26884760253017, 247.57089548356348, 247.71101635171615, 248.82711212983355, 254.70031578422447, 256.95213105229936, 258.4443393050106, 266.00552821593095, 266.03984141068651, 266.09009382199025, 266.45137383524406, 266.63623239118755, 266.8182164074185, 270.68544679093895, 271.17748710157321, 271.3805104831772, 272.63172424183631, 273.46360762916885, 274.0977848716168, 274.13932342929735, 274.32810274106254, 275.57302308364558, 277.00061298732066, 277.28973733176389, 278.28611327222376, 284.82846183235893, 285.36227084695224, 285.410385194936, 285.48262278001965, 287.95720725534437, 288.07342571007212, 288.65216305858746, 289.0267599437035, 291.71168450934647, 293.76688397604937, 295.01639955255638, 296.496207808284, 297.5156693900409, 297.81861405295109, 298.66855590052973, 298.78812469469517, 299.50103523051706, 300.20976154565278, 300.66087911725702, 301.70572424105285, 302.15256090817593, 305.43988111772836, 306.21867277063569, 307.05471714831566, 308.55431749167695, 309.09562262061911, 310.84394438227355, 310.89982624749223, 312.1907948518836, 312.93644445116564, 313.00724677065415, 313.6292154714173, 314.38096282111405, 315.64694848513034, 315.9855558396448, 317.35752653128486, 318.09792131924752, 318.76418802623255, 318.85739024155919, 319.64322276100984, 319.82015339736614, 324.25913856821671, 324.89585860535323, 326.81662540931052, 326.84643063981918, 326.93473061589737, 327.85285798533494, 328.62403829098736, 328.67992112475736, 330.42015472779991, 330.55934659666718, 334.60498994455662, 337.60258600431945, 338.67682024483094, 339.06652980872781, 343.17088577655431, 345.83791400478628, 346.14693071014437, 346.59553881005877, 348.48747514133203, 351.00545113479183, 352.80504930747458, 353.27449713839059, 353.53828345303117, 357.44641548030239, 357.64593445032318, 358.29616572415182, 360.34425283507272, 360.64293997362523, 361.83323333260944, 362.4722214784972, 362.99586343081978, 365.17364334182196, 365.21321081717434, 365.27744083143835, 365.97017184774199, 366.08018255950799, 367.13933641140875, 367.37375520544884, 369.50648818899856, 370.78876309454176, 372.09374291498432, 374.55862333405707, 374.95492694779375, 375.46134699756374, 378.01821756043705, 378.11501234068845, 380.07312229964583, 381.62735045547305, 382.00658384688074, 382.1096290320915, 383.43837287009586, 384.94005308585457, 385.46501993607819, 387.72023702899895, 388.05402399436571, 388.31911899176424, 389.59444816969057, 390.60460629886506, 390.67285040963219, 390.9026205807682, 391.31463659438009, 391.93828015697062, 392.41709391386087, 395.31758787721333, 395.5483172175372, 398.46142778956647, 399.11875128088667, 399.30003442268452, 400.25614052598434, 400.51341909661221, 402.02925150191521, 402.99944879604675, 404.24754885887546, 405.6385308075898, 406.12891065424003, 409.03831534714749, 409.96976013325445, 410.80099459136164, 411.07848506562101, 411.51932229513534, 412.01758603519761, 412.29112275317101, 414.24841484360286, 414.98084022334484, 415.32806008419692, 418.18125764939663, 418.5174822607392, 419.59460359206764, 421.43594676206811, 421.89823279467248, 422.58364086999387, 423.47225256547733, 424.72740062021347, 424.98917529212895, 425.31213809447962, 425.41075364243568, 426.14618261707454, 427.28942921383896, 427.40918988962278, 428.37836815657886, 428.53246445817825, 428.81284185793055, 429.29639023628539, 429.83823707138629, 429.8706490396292, 430.29962098469173, 431.55392556934299, 432.22339736123979, 433.2042023489538, 434.2893159736746, 435.09755655083291, 435.16727980001605, 435.3511624192198, 436.04402788527295, 436.13881335731247, 436.69056452048858, 437.83985356890213, 441.34536625342372, 444.18850371047301, 445.35339820315841, 445.43402552761472, 445.58394499662774, 445.82178959369901, 446.00916967890328, 448.04935762236113, 449.29221838822411, 451.35035916899278, 451.5918520218662, 452.13677417830019, 453.46568477031366, 453.57382083989006, 453.91553892829376, 454.25716608390263, 454.84348467208952, 454.88900079594134, 455.89278588323407, 456.65259002149941, 456.76960681748852, 458.12502374624972, 458.16840954341075, 459.23864196044696, 459.71599785868358, 462.30506823398053, 462.49516152169105, 463.2190666402704, 464.631210270248, 465.04300675199403, 465.43770690230053, 467.95819949124945, 469.05073818102323, 469.3147109025972, 469.3455382100492, 472.14852606597992, 473.62686157057647, 474.16314862790836, 475.4004038333444, 477.31241459708298, 478.67278086815378, 479.48114919793341, 480.16801017677545, 483.67743971355338, 484.46516552724364, 486.39657763968728, 486.72416302014886, 488.76074362664315, 488.90566588615559, 491.40111049472745, 492.24776052728134, 493.66125649661518, 493.77329514071664, 493.86406481357261, 494.29568517149551, 494.84004575846143, 495.23416808026184, 496.38861162340083, 497.19685563494579, 498.81507209903396, 499.17891558695806, 499.39012167927598, 500.19917980988635, 500.50057765472405, 502.35743536425093, 502.56287729085426, 503.06119673434176, 503.86193396651697, 504.76356858085035, 510.67583286898071, 511.66281128734437, 512.35345401746929, 512.77969186476867, 513.29031113688211, 513.35646291761611, 517.31647642935695, 517.46708298483929, 520.2202871746174, 521.62381930071581, 522.04037469877142, 524.82118750461564, 526.13201149823249, 527.40025237810471, 528.46575762111399, 529.59864219198232, 530.26195668476498, 530.32819447355359, 530.41174190143306, 532.01143968057761, 532.27830870038883, 532.64838115845976, 533.2546149458874, 534.11430440411573, 534.42143484196777, 534.50563691931984, 534.85684220821463, 535.01093990637878, 536.9712811991518, 537.84053398692697, 539.91245431836626, 542.25883129083263, 542.51375371436279, 543.78590019706428, 545.04364974723853, 547.57026323453954, 547.65558692455807, 547.69787765573801, 548.458974173824, 550.33907058700174, 551.05428905711017, 551.19062362220086, 551.2636231384314, 553.29931504408557, 554.16976728462441, 554.42737168022313, 556.75952126469667, 559.19443474246714, 560.61675560893661, 560.65596784602178, 562.51908849313668, 564.12620923992085, 566.86164604855173, 568.11151653556738, 569.16687103860534, 569.94792821433771, 570.25124930901757, 571.03956664485167, 571.90593879406117, 572.13907428847153, 572.18212174085886, 572.40293671424115, 573.46181781245434, 573.68661137943889, 576.16395545356079, 577.04668270951151, 578.3412939022985, 578.41193749576223, 579.93955250755971, 580.15865876819737, 580.45127461793379, 581.20092472493786, 581.36560734875525, 581.94337721613942, 583.16914826314166, 584.08141753865038, 586.33140007539203, 588.51848992231521, 590.85482817791512, 592.92588289910975, 594.16884505303767, 596.52748180206652, 597.72058521173017, 599.58153220910845, 600.46891854329863, 600.80226371732249, 604.16528902689993, 605.01282444820129, 605.61229135724273, 605.88559959010399, 607.46904852900138, 607.58223111575285, 608.24333321479446, 609.55711445005682, 612.89283467476503, 614.54053652476523, 616.37907648420048, 616.76075554683382, 617.13707628992552, 617.40105874487358, 619.73941920423408, 620.00289402708029, 620.1642514530073, 620.29277694601751, 620.49333466773066, 620.73315919190736, 620.91853580948225, 622.35248677383981, 622.76018934150261, 623.18670426898973, 623.37432949932349, 625.31012273654733, 626.69440410880304, 629.52397657231745, 632.10214760858003, 632.485851301769, 634.54910014216057, 634.5993866602962, 634.70226298806449, 636.1958034306291, 637.05729597628226, 637.62064296807478, 641.447923340643, 642.4319703475195, 642.71878666331327, 643.08868107606907, 643.66351073283295, 644.21883424735552, 644.25882919242122, 645.74450885941451, 646.0438991918187, 646.32414083714639, 648.44318308486731, 649.37550429240798, 649.90536202377859, 650.35108619822017, 650.48325588165949, 652.60695604326634, 652.7258113708757, 654.0728162486979, 655.82388065365069, 656.11973265515383, 660.38508959651131, 660.94823746909231, 661.65741576633252, 662.26754155118931, 662.6717640120745, 663.10846186478693, 663.60127531924479, 663.64266146764703, 663.80433767926729, 664.97462463892623, 665.75827800538264, 665.7787240530929, 668.03979682523482, 668.58927865829855, 669.78896079336278, 670.83239342343734, 671.44702854774425, 673.58725605532209, 673.8382604046908, 674.80348887981847, 674.94170274961175, 675.59775732805008, 676.82099088610562, 676.8548156767032, 679.00713771288792, 679.27783868991912, 680.06299099632247, 681.24014094435904, 684.80141081821091, 685.15005850572913, 686.09865835110406, 688.99359821638029, 691.09991720890321, 691.23506449404874, 692.54209656404453, 694.64907229071071, 696.01107249186373, 696.89611510499265, 697.66232084973979, 698.30954370458323, 698.37413141241461, 700.29686611991144, 702.47047572426629, 702.78265303763249, 703.51302889037004, 703.89221518112527, 704.12491817830721, 706.50080843677836, 706.59665039204151, 709.32440528483642, 710.61615192282954, 711.42766669616026, 712.18080918941894, 713.17477658972712, 713.46405432644974, 715.32969502626815, 716.16750682490306, 716.36420138602705, 716.96808110700624, 717.66777383513875, 717.81550453993452, 718.27730532878184, 718.55552425321571, 718.67466054361591, 718.86950382513271, 722.38880264227589, 725.07402178909922, 725.11412073391136, 725.49867119995997, 726.65310422702396, 727.19756714487812, 727.49162741646046, 728.49837175268772, 728.74136352666892, 729.1396082714657, 730.58009441504782, 731.65808899797582, 732.14848940997365, 732.82205423351979, 733.03193286908891, 734.18512537088895, 735.7501847017943, 736.80371125713259, 739.65545846378109, 740.43952508565451, 741.06200840906547, 741.49593230662049, 742.47993048901776, 743.8244738744113, 748.40324282240886, 748.52622596435765, 748.55877135882133, 748.77112412353142, 748.93040252523258, 749.99405005880783, 750.43176244224139, 751.03186122953912, 751.3999376160258, 752.32837990310225, 755.50992914715562, 755.64023378326317, 756.41673371070817, 756.48129493370232, 757.7195626529184, 758.39279622411436, 759.38272476514987, 760.60131381843519, 760.85513727116654, 761.25503019065127, 761.69124347137529, 761.77444798923091, 761.94919881906355, 762.27237873245451, 762.54071279409675, 762.62370045256, 763.34938258685861, 763.72481170734261, 764.19623205701532, 768.04540541534118, 769.46131175870846, 771.1897817005829, 771.88270694222604, 774.55903869605788, 774.60698858486296, 775.48252338835402, 778.75156229999322, 780.22079764768023, 780.32551999997395, 781.48435868795264, 783.17174688937723, 783.27921771149352, 783.69127264891699, 784.05979990597564, 785.32714420337254, 787.13627679011722, 787.42514397716138, 788.27512643572163, 789.42128477935717, 789.72179452588307, 790.37257064777373, 792.54379939292369, 793.97308891913588, 796.59156856802122, 797.98366496766175, 799.41383131250325, 800.0600611767735, 801.05074718523713, 801.29617489390648, 801.98001461560375, 802.28119555157241, 805.16703051998331, 805.28407305504766, 805.82826624932022, 806.33248371378806, 807.07517385760207, 807.27869352958601, 807.33540192773251, 813.05263092019311, 813.52211849655851, 814.82717776535878, 816.3443312565804, 816.94715934991098, 817.55491465191926, 817.64789201098495, 817.96585694090754, 818.64935114264222, 820.65955590863723, 821.75230437098105, 822.72303870027258, 823.91627874249832, 824.81313042457248, 825.10005046486674, 827.3559962749033, 828.71089644406788, 829.84866507883282, 830.19922779340186, 830.81764175752357, 832.13728029826984, 834.1729273050089, 834.93455496183594, 835.7187734773072, 836.2736611342566, 836.96572829373349, 838.9248306835824, 842.11880411954178, 847.002356057116, 847.23153975403011, 847.31566509558718, 847.59726042425336, 847.71669762273052, 847.93068798473087, 849.2855990504579, 849.46244026626403, 849.9521713982449, 851.69146488609715, 852.1594418683884, 854.01375055645133, 854.27615194384566, 854.77465969969705, 855.1043975068992, 856.65043036828138, 857.51694742325333, 857.84643663513066, 860.26424721774583, 860.31215902662791, 862.69876687576846, 863.20233073260363, 865.11833996079031, 865.35710786665311, 866.03938664448208, 866.30226330286303, 868.45383086665493, 869.10614935282547, 869.34348586699798, 871.74611336456269, 872.457028452175, 873.19496793315238, 874.24376393995283, 874.5981324530178, 875.97865906784955, 880.26607902704109, 880.92050911942488, 883.25713243891062, 885.81479976193589, 885.88832087468768, 886.06703354624244, 886.22350537022396, 887.89893594124806, 889.14787053644261, 890.92011044519427, 892.0648863922579, 895.70803190351171, 895.91033490683606, 898.55562786222185, 898.63051613888695, 899.2763112088727, 900.39328862391631, 902.81423717763334, 903.23270047590734, 906.88740138873322, 906.90955425210961, 907.52068486675137, 907.68133547621392, 909.99646467072409, 911.90971287394746, 912.35004633595224, 913.80869755415495, 913.8519890442584, 915.07685412966805, 915.3090298914509, 915.47174605198529, 916.24509599671978, 916.76075741607622, 918.14333139403561, 919.63690708571403, 919.98825762146498, 920.79623698187379, 920.83183985696076, 920.91980056091631, 921.9217614671802, 923.43249549812026, 924.9775801336034, 925.87968089908077, 926.19997903866101, 926.53760855593896, 927.29620489135129, 927.85976303193479, 928.8223744738259, 930.50308869747676, 931.39120383610543, 933.88351955541998, 935.51107896841393, 935.69216397720288, 936.36800151787929, 940.42279033883187, 942.06537599392834, 942.41211558181408, 943.517389669213, 948.96448699584369, 949.02420791212558, 949.63499804979654, 952.26002649621933, 952.59726506224035, 953.49780832115675, 955.01067290806861, 956.0989101518328, 956.79960513478045, 956.8847254236457, 957.94802398771105, 958.35408943273683, 958.68640151829561, 959.19529649278581, 960.6125770010533, 961.5705319774745, 962.55701507133631, 962.75061137726402, 963.28033401759126, 964.16225978115062, 964.89875262282192, 965.1651836097559, 968.51506056699441, 969.62540652870962, 970.47662581281713, 970.81019944992352, 971.2811687699018, 973.14630211311874, 973.27946106325271, 977.34133328504197, 978.51455085427153, 978.80299453428006, 979.45427440000981, 980.29628777144308, 980.62899493115651, 983.12392085083468, 984.0759374438943, 984.45141745759236, 985.13849269433979, 985.66714959228079, 986.97134375420626, 987.98257600752879, 988.45584118344959, 990.68852832871505, 991.36150450452465, 992.47362481444463, 993.09017637221427, 994.24603233823836, 994.31421330972614, 995.38642400046672, 997.04915981418139, 997.12384318790578, 998.04204768403872, 998.35698805466563, 999.26077349386583, 999.81319748673741, 1003.7319175829261]),array([26.102736862401521, 27.912220666352418, 28.033118867047552, 29.020566941700757, 36.198373768916106, 37.786011343312111, 38.742560248040007, 39.141274455703133, 40.042369140690155, 40.146748512458515, 40.415319072126273, 46.712876320567275, 49.289943131005892, 51.259741473978231, 51.976363587036943, 52.543970415573092, 53.041754283497959, 53.367760873533285, 55.088377858570375, 55.520995027931761, 55.720290224279367, 55.879985864041736, 57.486152823023701, 60.991131369984885, 61.312990017262216, 62.086639188717335, 63.568095755858508, 66.584701001489023, 66.644306375496114, 67.451165933246187, 67.616548520839132, 70.056115163651015, 71.647713623219602, 75.98160783431733, 76.31219799838378, 77.132485701284992, 77.46360416056784, 77.930605003884324, 79.264541621835946, 80.288310694267594, 80.491393320539572, 81.281882700802583, 82.741172005816665, 83.195503592061883, 83.220540761721324, 83.600095541349177, 83.958717779969035, 84.56347822801122, 84.735960970973849, 88.776305879776686, 90.040677720547521, 94.426348000671041, 97.747802115993835, 99.73200433365291, 99.963667511023019, 100.45924228715008, 101.49369121446615, 101.5849724461831, 103.63791129509087, 104.89946097619597, 105.01310071195059, 105.75945693650435, 106.63067243588381, 107.68671611937275, 109.29238948747762, 109.47155435423869, 110.16274990814193, 111.97427256776295, 112.32663817270367, 112.82627823560166, 113.89615478387452, 114.24186859151325, 114.99035832252403, 117.96617040130936, 118.85909281655562, 119.12723001304531, 119.59719834979819, 120.11820676945693, 120.80061802483124, 120.97563879234767, 122.31122615507205, 123.09523754308076, 126.45295971989971, 127.1430350554148, 127.4305756131635, 129.45736824278458, 130.72906568684019, 130.84853303526802, 131.28132259692234, 131.78606172220779, 132.06462026384943, 134.26456498725412, 136.90273960098054, 136.97101535199459, 137.06057472931607, 138.76880259550637, 140.79468751647835, 141.24386954256983, 142.13490015705102, 143.22612388449065, 143.41684614115974, 143.49060670948529, 143.66216470636704, 145.07320627969369, 145.33499398309891, 146.082805851968, 147.39735470269713, 148.26404563882787, 149.63327218997205, 150.46218509568936, 151.06354190479155, 151.23627409974307, 151.31588232725466, 151.41371737552117, 151.78833128531005, 152.67553584556168, 153.35852390959195, 153.90281948178713, 156.05768841807622, 159.44427321729236, 160.0493137855359, 160.7854833430508, 161.36525189797203, 161.6626833889288, 162.24574004013184, 162.94537585687439, 163.43446009392107, 165.24956571655545, 167.70261567581764, 168.50685175268273, 168.66070156812759, 168.95572936260743, 171.06182881898488, 172.77499135913772, 174.41675557865912, 177.29321507149882, 178.34797524844362, 178.55319389041651, 179.05497464784031, 180.08389529726881, 181.1033944306389, 182.38162959137219, 183.59579141361661, 183.79309919817493, 184.12314375894817, 186.14027594978231, 187.04801441587469, 188.5892904171213, 188.76870368986539, 188.86308221020664, 189.48460361559074, 189.85837196383704, 190.81553855418727, 191.84919138449314, 192.54034531319888, 192.69895085262016, 194.46755736127866, 195.18221539493771, 196.33299310839328, 198.78135984143722, 199.24913989383091, 199.98527567481071, 200.12207880612044, 200.4967962677425, 201.25282407011287, 202.48700033398782, 202.8828905997093, 203.69945275972023, 204.98730246431637, 208.03702327915016, 208.87018981933593, 209.95072427230627, 210.65354424092499, 211.51085705694453, 212.56782326686718, 213.13880335932504, 213.59320070249672, 215.07937300591169, 215.62691999983062, 215.74467115564252, 217.41542752799108, 220.80494809163346, 221.6368407124771, 222.75936918472908, 223.18942163574644, 223.76930557466994, 223.91934552346083, 224.36561729642591, 225.88961638756189, 228.57532677270203, 228.85059703427726, 229.68358724194505, 230.15036398415984, 230.17140258627774, 230.38074188948599, 230.54728902963564, 233.73846767932568, 235.95613870251918, 236.17227845083181, 237.86339899405016, 239.71568593190347, 239.98773002664188, 241.07326311388604, 241.62990422832226, 241.70794272016514, 242.71869845375846, 244.41147709553863, 245.46240887411776, 246.41375750429279, 247.8875676220089, 248.12442235204003, 248.59360841759263, 249.36540542020759, 250.59967805664613, 251.19977113015264, 251.34143223092886, 251.59364013838859, 254.02748671304747, 254.69494502664767, 258.21148853034015, 258.66068895835275, 260.10988678696373, 261.36880872498551, 263.4458820737558, 264.43833863140691, 265.21416944587639, 265.62200566889061, 268.46659300484458, 268.70230932007325, 270.26497767372427, 270.96435241669383, 271.93027370257863, 272.82013911593316, 272.94735429712074, 275.23134774224127, 275.69835792868241, 275.94784593228468, 277.21444958625892, 277.56740083371875, 280.213248645882, 281.08525263203899, 283.59049962387985, 284.91129565654614, 285.77156734859153, 286.27182407661417, 287.11457384681216, 287.24143808998582, 287.7574424331869, 288.20804736475219, 290.64292951631211, 291.96781862945932, 294.75814095778952, 295.6698186953613, 295.94049571206517, 296.46181266319684, 298.07143207046556, 301.16590743022545, 301.38243116091752, 302.30645195705921, 302.78726329721235, 302.97325515556196, 305.70902681463946, 307.56770022890981, 309.50005674490154, 309.95977392786466, 309.99980031082907, 310.40874868002521, 312.82539823225142, 313.70475129643808, 314.75211180923361, 316.55125528692645, 317.26182568061989, 317.59495183003929, 317.88040911788772, 317.96291039471384, 318.0943161645751, 318.35254027374151, 323.06186156369034, 324.21441724716442, 326.17659621549109, 328.0821687690455, 328.6855588562986, 329.11785081718614, 329.38904486808542, 329.63830172424559, 330.47707470923058, 333.38659669868247, 334.39236317700687, 337.47633881076888, 338.11323163852325, 338.7310678696785, 339.03361165686056, 339.18571778985341, 340.37925113039319, 342.36955075452835, 342.68227016981882, 343.93016877269298, 344.47887177611125, 347.30368369664421, 348.05519420739432, 348.35580970677864, 348.69229943582963, 349.84461790024125, 350.03106492363332, 350.61734153318019, 350.87192505719679, 351.24912290225285, 352.17700090639983, 354.1634257931396, 354.29277901732883, 355.85906840035011, 355.88267463562107, 356.53008009642457, 359.69673736686815, 360.20907642383457, 361.94641000584795, 364.46290596827401, 365.22407834709446, 367.6591281906654, 368.75122143299404, 368.84809214403339, 369.95390396409675, 370.43117856165873, 373.06571178413691, 375.47135852989891, 375.61523098290252, 377.04157650671317, 377.87527023970904, 378.37295277476204, 378.55264242626941, 379.62697013045602, 379.71181091234388, 381.97303528134063, 382.25639288502526, 382.35861931643581, 382.66909125032566, 385.13363856957716, 386.89615684109162, 388.45975563643759, 391.9012689122174, 394.43658610825463, 394.56057690627011, 394.74537709641424, 395.45522733411326, 395.71619396802583, 396.46315647506509, 396.52548528794034, 397.70214048349948, 398.09054820158474, 398.32733591574492, 398.64722583855939, 399.07652447948681, 399.85588264143348, 401.49246815502204, 402.21310814340063, 402.51961318710232, 404.82346523842875, 405.7129288376982, 406.84786355726641, 408.79533391051166, 411.52905849272008, 412.6577804937105, 412.86706876687964, 414.40529653745546, 414.74573137016296, 416.0014832706371, 417.21427040454864, 418.83754828504414, 419.36452632829059, 423.24171269518757, 424.11401472558248, 425.11444561273692, 426.27365428334042, 426.87737953864166, 428.46139379077715, 428.53748508586943, 431.40628182532049, 431.64866276561912, 431.97944594253204, 432.3677003254009, 432.55522276767817, 433.04908922264616, 433.92242650514828, 434.05029115523456, 435.08041170216762, 436.45620957162652, 437.19415976748695, 438.15240865457787, 439.54903810157691, 440.78306752736091, 441.29376656145928, 441.98013758326425, 443.10844837187364, 444.10245176400076, 446.69815563783357, 451.24372430903304, 452.12013717211823, 452.99512898786725, 453.11544138196996, 453.72698057572364, 454.55422666025316, 455.50821910675444, 455.87969219253011, 456.86705985704504, 456.89913963374693, 457.46353802978808, 460.19644849920275, 461.61854181718979, 462.6450031606617, 463.77170265874997, 463.7971595130345, 465.31812369807847, 465.66161898735538, 466.23198176098015, 468.29054189464063, 468.32559603716521, 468.58641165787071, 470.37852356257963, 471.01793329144431, 472.13415835522613, 473.2244930160594, 473.51298232952149, 475.9936255221416, 476.80702840780003, 477.34943287419077, 477.92904115164032, 484.37308581143265, 485.48149271764061, 486.33976680782115, 486.47476307982856, 487.15652713701303, 488.42079559147572, 488.53775397469616, 488.89023444379569, 489.05072253518506, 489.97021127094132, 490.00139027170849, 490.35053364893275, 495.49183908511299, 497.39614669975288, 498.17520355035106, 498.92383316447848, 499.11758602765047, 499.26038095616553, 499.79151240947056, 500.53016644471609, 502.22540231878315, 502.49643482296921, 503.31221809376819, 504.30330633242448, 505.08338801055652, 507.89822756819336, 510.98701954995693, 511.84465478944401, 511.87624690725812, 513.7096113961677, 514.43806966332454, 515.09771142961154, 515.21129677035685, 515.41421620637357, 515.80013624888591, 515.84764182385265, 515.96444562867339, 516.13707321008735, 516.8483285593702, 518.29218060283495, 518.71581825907572, 521.26495970618714, 521.64858313173931, 522.63592066006197, 524.07813006168249, 526.50949570842192, 527.72518836526467, 527.83705613283985, 528.32924438294333, 529.40649520217346, 531.63965948696068, 531.73034016175393, 531.92450642112237, 531.99141558723625, 532.85063983536293, 533.21545393600502, 533.24791674659627, 533.56363632720877, 534.05337739120841, 534.13467304863582, 534.86495725746806, 535.48421543901622, 536.96829487891318, 537.13643734877485, 537.21530751841965, 537.25978887606777, 539.23509003937193, 539.25579790908932, 540.87757157765543, 545.4478990168177, 546.68036709515002, 546.95616552168099, 547.42534849599917, 548.26132116988708, 548.57941041874653, 548.74369210992529, 548.92664556468299, 549.54627498937475, 549.99130982094562, 550.93099213532832, 551.81746450290541, 555.20247568924071, 556.53182082147987, 557.44275386797585, 558.62538367631055, 559.32151928777239, 560.44600592166933, 562.85532694701817, 563.04976560677619, 563.77002391532449, 564.26054740093753, 564.64167138001255, 567.83189244408436, 573.72990444069001, 575.01622256124188, 575.26274960848059, 575.45687382280823, 576.29099711210631, 578.13898684606875, 579.4513042869545, 580.20327545381531, 581.05106718959314, 581.68206028689383, 584.29963459529495, 584.70805292762293, 585.50118726645951, 586.58400544554888, 587.17406931104108, 587.90396875202816, 588.07298229908213, 588.29473899031757, 589.4663361045175, 589.92262090497582, 590.0213979521659, 591.56864772913536, 593.77019045436361, 594.26860139622568, 595.6766672497024, 597.7216296755721, 597.8226442504415, 598.48082271609599, 599.26220815800536, 600.09302854136308, 601.54908764768356, 603.40212008791093, 605.02079778738289, 605.12011977879456, 605.83168637592348, 607.13666576515357, 608.36981476471283, 608.53567580493802, 609.27614036081923, 610.70425257588067, 611.24131158914076, 611.42978818292568, 612.06867060801858, 612.36408434705811, 612.59008139723085, 613.00354117378868, 615.84277143528288, 616.90538261612335, 618.33274393942941, 618.78682566833697, 623.4268689575033, 623.87880030459428, 624.04167482463652, 624.06461505021002, 624.86343856989117, 625.23600781057064, 627.26161221884774, 627.39235897228673, 629.16073120946635, 629.30197800696578, 629.70964836173755, 630.18998753144319, 630.57057435665308, 632.46851456852403, 632.55036453355535, 633.08580904642702, 633.25474106145725, 637.4904702740705, 638.62033541267351, 639.66935845435694, 640.1815169497296, 641.02402146293355, 642.1754278272615, 644.69854817278167, 644.82422586102916, 645.25928123326321, 646.01344020029524, 646.43908310415895, 646.76347289961097, 648.27937329856763, 650.96460332618506, 653.69995341000708, 654.11423018023174, 654.23174241779668, 654.82215634620104, 654.95393592156893, 655.19576783467221, 656.67743720271176, 656.87535691260109, 657.92056025136071, 658.95561177069533, 660.99868340020862, 661.22288538868349, 661.38343224036646, 663.77137870028423, 664.25224375104881, 664.88346372099159, 664.95798540636349, 665.11163567128381, 665.16092431365018, 666.14011006146427, 666.24553498335001, 666.27294205527426, 666.52574132439759, 668.2209739271766, 668.36676948000274, 668.50223170246886, 668.68060526673275, 669.89460432157671, 670.0045478532187, 670.11320018223876, 670.9302481708645, 671.20044865726027, 671.23170890976792, 672.18465469152704, 672.95797703904441, 674.08633101497196, 676.20644117779966, 678.820841354187, 678.84696604736246, 680.0595630324575, 680.33442859355421, 680.63056978192719, 681.22578700707584, 681.403169959926, 682.46052537804394, 682.63521879938344, 684.87717491658475, 686.64486138136533, 687.02931220690652, 687.50024570738753, 688.7844033320722, 689.65508070226622, 690.28239524610967, 690.73379202481556, 690.94239042259267, 691.9750022252116, 692.23642130245514, 692.46915137574899, 693.22297838336431, 695.47381637721617, 697.50720476880156, 701.75690972808388, 702.10415394282018, 702.91521121991377, 703.13256119769949, 705.56271570192189, 705.98612279495478, 706.34572000826881, 707.32348890720448, 707.42274286077691, 709.45123867365123, 710.6687127802137, 713.38454725540419, 714.29115676890967, 716.96339878424681, 717.17973915973312, 717.85602471149036, 719.44269770508311, 719.56688879958017, 724.10105202733723, 724.35961498520658, 725.33045042597553, 726.03212531322799, 727.33350754985565, 727.98432316488629, 729.05608947120629, 730.18164973260866, 734.3955924718307, 734.66393497815238, 734.85373733688823, 735.46435661824296, 736.62658742939277, 738.10491850224503, 739.99984354182629, 740.55705638840197, 740.95954883620709, 741.8981833937579, 743.68065477842515, 745.58557091122736, 747.27179445782599, 748.76952710619412, 749.27357788286088, 751.15629002248932, 753.79869383842515, 754.34160929536426, 756.06015884611179, 758.21655070399925, 758.75221060535785, 760.29937381295872, 760.70552426634481, 763.32134689681095, 763.49935362669407, 764.96703352104419, 765.08181444988577, 765.73014786521367, 767.86627470430528, 768.0099582314856, 768.61930217942597, 769.75724204244148, 773.46930120044658, 773.57468260184748, 773.70598241745006, 773.75783580667598, 774.04836903824605, 776.57156255478878, 778.94926392659625, 779.12974705426814, 779.23523805255616, 779.3406924322345, 779.6487691321538, 779.91118123275965, 779.99397233677644, 780.06860194294222, 781.42128867038457, 781.83543661500482, 784.63263426999822, 785.77382398384475, 787.11099985981616, 787.4331924037084, 789.61912958469429, 789.94531536400848, 790.18011559748425, 790.29337213289909, 790.84808845348721, 791.70804075478861, 793.11218499223799, 793.33331029774433, 794.22758479346692, 794.98127375214938, 795.98317557379539, 796.548354960099, 798.30237502482782, 798.54791811195764, 799.59968386288051, 803.95675932863571, 804.2845896464072, 805.69996190054007, 805.94451757799402, 807.4099374899107, 807.66785649355904, 809.97764943220216, 810.33461752729386, 810.83125568247897, 812.9963775389806, 813.04380738528516, 813.16742486377984, 814.27924538667298, 814.91270648768841, 814.98492775777254, 816.20203344123604, 816.31604835322833, 817.2057790936833, 817.54647456145062, 817.99721036546578, 818.48966202675217, 821.09197925591263, 821.86040322417762, 822.09293446131892, 822.52455864059255, 825.69939530974159, 825.98618645245006, 826.4127339218212, 827.31775387667187, 827.8760709348777, 829.82570823732385, 830.4970113651467, 830.6744410160552, 831.29860750614205, 831.53171651064929, 832.84520864447722, 833.16086927459901, 835.53856145280622, 835.92515521278642, 836.33735950476557, 836.40883303521173, 836.50148525989596, 836.72626453056921, 836.90804157641696, 838.99226715130044, 839.60437184532805, 840.62493887544213, 840.67549450640377, 841.11047241433926, 843.44587781120958, 843.51006689222027, 843.68417342554756, 844.06955131450377, 845.29062616341491, 845.41955254658365, 845.80800680849393, 846.88239881917286, 847.10900533284303, 847.5933998819504, 847.64189020151252, 848.32616550880903, 849.61708285612099, 849.71193869293029, 850.01200553006549, 851.66613890598308, 851.91325843980769, 852.31974648616108, 852.67180969733829, 852.73184430831122, 852.95904741400147, 855.61854626036666, 856.07606256677991, 856.99406147531863, 857.48349281275591, 859.85339681056462, 863.26077302165106, 863.61627276490128, 864.08840037612879, 864.21397911685892, 865.21068025702357, 868.49958519853351, 868.56313825119275, 869.73908766275872, 872.43327862241176, 873.01129182297279, 873.50425809640183, 874.14721604362944, 876.56084875444492, 876.58169105083084, 876.88896337486915, 877.08124535388879, 878.65283111401641, 880.7805082697065, 881.42245729641968, 882.14346985003067, 884.02726322380499, 884.1256602624577, 885.80921972836745, 886.58883856705097, 886.9310607226779, 889.22122320647236, 890.58673134534547, 891.20316828259479, 893.43581688545135, 893.96265897434296, 896.67273610299924, 897.31061340279507, 898.66530635144454, 898.86129030252755, 899.50760201396179, 900.53986140255711, 900.75483057718213, 900.96113623322242, 901.21524082407313, 902.29706373608803, 902.70693400077641, 903.42306880293688, 903.92631739840192, 904.32986201341419, 906.76262051250569, 907.53697365809001, 908.26088874175093, 908.28988282572561, 909.97761462642654, 910.24999789880542, 911.8761797790479, 915.42221970028515, 917.04781693530322, 918.46251740279638, 919.94665085787381, 921.08312709686334, 923.09375082869042, 923.81727975819365, 924.97129777097905, 925.29386503593128, 926.80057353429936, 928.61149978395065, 929.85133867817638, 930.42537592668884, 931.66273244210674, 932.56532542875823, 932.94814102825626, 933.11195409867378, 933.9287899517343, 936.67853972688567, 938.53995115451949, 938.57450729994252, 939.00650540736967, 939.61706240018725, 940.11082114452722, 941.62348152381264, 944.29796506485377, 946.80783749160412, 948.57382249768102, 950.49214303535769, 950.59685518445292, 951.93848114642799, 954.63016301316497, 954.82536288621952, 955.19769481468325, 955.39571154176906, 955.8026860171683, 956.67062325027166, 958.00775571716281, 958.48107005141219, 959.48383678573839, 959.56185963870701, 962.23816384328597, 962.44524770342707, 964.25268623899183, 964.76438147571901, 964.83845730603355, 965.1464338274958, 966.53227158591096, 967.64237874737296, 967.93923154147558, 968.19012090255922, 970.74480732855682, 971.01268539348359, 972.04203724687682, 972.34345351963202, 972.98425678602393, 973.02300559457069, 973.83122687006846, 974.65145412476932, 975.45800872046641, 975.76830764315071, 975.90091211628464, 977.18893032060259, 977.69922491747036, 980.19337276682108, 980.66195701852951, 981.25612333896061, 982.09160686023949, 984.57610910001279, 985.28094462034335, 985.94676956753483, 986.65670621630409, 986.76351696687618, 986.96345468562595, 987.53466330650429, 988.07416752662004, 988.71812538597351, 989.07417509710137, 989.32047495301265, 991.35330261885508, 991.58498942548511, 991.8439932093695, 997.16760034799233, 998.24768939663056, 998.59820371220326, 999.09755065958541, 999.70920576624417, 1002.5002952599827]),array([95.203172161458781, 95.40067655434315, 96.583416895565293, 97.658586373555991, 98.728423641592201, 98.90630073094276, 99.303109792802275, 100.59370675950517, 101.2564841965207, 101.36143440694471, 102.61234865427619, 105.32225358222951, 105.38824084074501, 105.79173188945036, 106.40983655058029, 107.23633746436342, 107.68391440849742, 107.76334439044241, 108.124609720637, 108.6141646751923, 109.0149496538529, 109.52753646180194, 109.78130789630303, 110.37225791705497, 111.34871699206855, 113.55219674263718, 114.03219781815464, 115.92085468177824, 116.75023921959476, 118.64219379884513, 118.84332485087036, 123.03853176765006, 123.64950231381479, 124.41607448214907, 124.73853087360139, 126.47747082154724, 127.27249643835187, 128.37131463500663, 129.07970806960839, 129.35575422625391, 130.81389719846456, 133.29714731853241, 135.75465689813038, 136.55701516075607, 136.58160852411521, 137.18646834013458, 137.54083525285068, 138.20400940090849, 139.77050844594137, 140.58165009069472, 142.25242369188464, 142.30767876144856, 142.39059246598856, 143.27792864357514, 143.59340900466506, 144.70230683801316, 146.68169594566891, 146.91125684991198, 147.87936680780436, 148.30364490918265, 148.73612797585972, 149.09442242109404, 151.94053452859626, 152.54354426456422, 152.82626799738301, 154.05108649296761, 154.628572132747, 154.72645094071291, 155.20555917701469, 157.37633331942217, 158.96650471195636, 159.8864460716697, 160.95081621250731, 162.09174514177991, 162.41884765869943, 163.21865002470909, 163.93247461185916, 164.77600968366053, 167.2614660998648, 167.88687192458647, 168.5558587031112, 168.73185735125182, 169.15632629349295, 169.215745547783, 169.28267785433624, 172.0447354847098, 174.9417657925695, 174.99267359128461, 177.49489717935745, 177.76447557439994, 177.80971910160193, 178.67297004302344, 178.98328063643268, 179.87244003423319, 180.58816591010216, 182.7896319041138, 183.44915807875171, 183.65404928818936, 184.57466296870865, 185.65143820790178, 188.75224654269408, 193.1611660413742, 193.23884108964498, 194.40526501174273, 195.49421726584117, 195.97445757967992, 196.02044162548702, 196.69235543347881, 198.31425356026682, 199.37429212717242, 200.27990715968212, 200.66643967466027, 201.27492905816788, 201.8168064688366, 202.63048081518437, 203.48478304792243, 205.02556292337746, 207.25768647639279, 207.72986608590188, 208.75339459300281, 211.05195189458485, 211.5518657246156, 212.81128347190662, 213.21321047901671, 213.70462935978051, 214.52911119581321, 217.84962032480479, 220.69555558054842, 221.04522254146966, 221.24312558453266, 223.6772137030342, 225.05409044003474, 225.41926579210076, 225.83062239944411, 227.30768726034179, 228.22011746347422, 228.65259037733978, 228.82173571739028, 231.67749364951524, 232.0606813792227, 232.33530872551179, 234.08912794163624, 235.63777949069251, 236.2651475244422, 236.9952986139416, 237.13961460977254, 237.40264159078853, 237.45143470149006, 238.73878574052191, 240.51479564855103, 240.97522897729056, 243.5733082662762, 245.15419557171148, 246.57916395224748, 246.76818741397685, 247.12425057582945, 247.50340789120739, 249.23334987389688, 250.45040849609336, 251.00082369299218, 251.56789213629392, 251.71719472353999, 252.74930465022854, 255.99127731722712, 256.59383419908306, 257.00865050252543, 258.61518262511782, 261.1124200814715, 261.15171620909194, 261.92820806306031, 262.09647728898312, 262.3690819476883, 262.90574799564774, 263.42883484855275, 264.24461271436752, 265.53221640912619, 266.36630831065776, 267.2187637460425, 268.56782097510563, 268.83780352295571, 270.12863865114468, 273.71520550149677, 274.1941592989308, 274.82953304408562, 275.1944625349355, 275.79095391544683, 278.05217667474642, 278.22273343549972, 278.78845926522223, 278.95617816118727, 279.51959975981322, 281.04383166096665, 282.41485319530699, 283.02249456085082, 283.63761199948476, 284.17462724951861, 284.28204917789071, 284.33732639881424, 284.87028648353237, 285.74440420457097, 285.81909440082427, 287.59021747699524, 288.33060479377144, 288.52139952487067, 288.64959470522228, 289.2740609048858, 289.46499711506783, 290.78920541140491, 293.25241525410962, 294.97003733027577, 297.37011798282424, 301.69718872662543, 303.87051397866048, 304.22507822312059, 306.32905143157819, 307.13849799463702, 308.99680402264528, 309.39700933977593, 312.75358257066586, 313.43935440528026, 313.57759235784135, 318.54778511614768, 320.30399987759381, 320.95409529493639, 321.19821577428712, 321.93419310657185, 324.02877146048684, 324.38671779006819, 327.01721000060581, 327.47617249970375, 327.74685785653645, 329.20590982500715, 329.2895832778471, 334.48480102590594, 336.88857699035049, 342.77891368096454, 344.85464834448197, 346.34415485859364, 347.02798291715209, 348.21974307376576, 349.32036000255891, 354.7258145924315, 357.99393458509928, 359.10986934851974, 359.50120817680425, 359.89647012916242, 360.14833302340338, 360.25713760473411, 362.32862797334906, 362.4941898072654, 363.22297007971582, 363.45707193587998, 363.50649127649547, 363.76640776110656, 364.16068683439249, 365.88282244184819, 366.62721305147505, 368.36943589324375, 370.72390142868937, 372.77822022444451, 373.04070469663822, 373.45377007963407, 373.60931769385508, 374.31744078936765, 375.1239203109198, 375.3288309507148, 376.69738256536471, 376.99627473868543, 377.02765782794501, 377.48896882271714, 381.3264605501696, 385.7807413078886, 387.94582220063972, 388.20103206000039, 389.42600939925268, 390.82790244069685, 391.12399903763497, 391.89275640545856, 392.82722608335024, 393.37691014466151, 394.82932474133673, 397.55717853699889, 397.82357459237687, 398.58219070247412, 398.6911054245524, 399.11616356251284, 399.81799145064514, 400.2778276567829, 400.52633476607855, 401.24212165336263, 402.923370000452, 403.57686835911437, 404.15213854897348, 404.48847408942498, 407.6220404436209, 409.59223267410891, 409.83191724286382, 411.43745295831542, 411.66615175037003, 413.29387659707993, 418.6957039787664, 418.93770623045674, 419.6277533027129, 423.16297344636592, 424.09040779502089, 424.99396677943423, 427.17060688404791, 428.84545742473426, 431.60406739680093, 432.38367308829311, 432.97059880917647, 433.52797261040701, 433.55203338901094, 433.57898158111914, 433.68251794102252, 433.80870058094598, 434.00244114364193, 435.8874619261332, 442.43312209319089, 443.30652859549286, 443.41114709106745, 444.79651035399576, 446.98210136383756, 448.27409695176596, 449.06553283138038, 451.40369150029903, 452.47048769495638, 453.38684843896789, 453.47913952131773, 453.74389281017409, 453.96997078016915, 454.25797069462925, 455.18632652359605, 455.94839395158704, 457.43980246015468, 457.67799592742392, 459.77866138633641, 462.87586722377137, 464.81042898284687, 465.59714922645355, 466.86639358827296, 469.18973557783539, 470.02531690353607, 470.83207922325647, 471.11567984530762, 471.35746121366537, 472.76245367371911, 473.80750170493729, 474.51213264554326, 475.16592748164084, 475.3229915982933, 476.24107333848553, 477.46735386547607, 479.33261457348772, 481.48026525088443, 483.99815268005273, 485.14632080080145, 485.33789986032872, 485.57370086890444, 485.97950139980895, 489.05509218917689, 489.47499514806469, 490.37862820551709, 490.61922944896594, 492.35250410181374, 494.12735041786715, 495.12707616269125, 496.34680223099781, 497.06015076652324, 497.7025449505561, 497.88073240747502, 498.01465542908483, 498.45932842401999, 500.87849568668236, 501.41127080315334, 501.79956342086763, 502.28035281048466, 502.50997693358511, 503.16723909850481, 503.540013377501, 504.37799600878901, 504.64025805900758, 506.238660659488, 506.37518539895262, 506.62368084244304, 506.69782876060276, 507.23061297918383, 508.22403287696142, 510.78284659689541, 510.89965319019905, 510.99116671908445, 511.56997474712546, 512.51568220095442, 513.07198568015724, 514.507296068816, 515.25742318500795, 515.8261948684908, 516.06374668556589, 516.44386048814374, 517.18303561087794, 519.60820517163097, 521.17286578854828, 523.21792821239967, 523.83351134577401, 523.99945857380237, 524.39827971775685, 525.02889621136205, 525.90350407626568, 525.94205714225143, 527.81856117069515, 533.36232393950081, 533.49663192345531, 534.2842134579131, 536.37641899880225, 539.23703913680947, 539.66336605348954, 539.9042621902131, 540.26124747254471, 542.45941206937619, 543.3162766322389, 545.33550956609145, 545.38001213800749, 545.88806392033166, 546.12993316584266, 548.4562421526, 549.22774898928003, 549.4615622716301, 552.21083014215412, 552.44126261544409, 553.04138496755274, 554.00640129319231, 554.3014208275788, 554.84187968626532, 555.5058054143376, 555.68561782331187, 555.70818482985931, 556.5291885947106, 557.31401345818824, 558.14308283513913, 558.26889365781517, 558.44740719882896, 558.77688316746639, 560.41428769405331, 560.75480020120892, 561.34884670338727, 564.47610324522054, 565.25642611816204, 565.44748390678603, 567.8283632538114, 568.00790007083151, 568.49709236889157, 568.75868977065466, 569.40376079857151, 570.21973142272088, 572.4301905301802, 572.90988307964381, 573.27390970338593, 573.49185161674302, 573.80808989981733, 574.27678972645617, 576.18551779090774, 577.55112029099246, 577.59030403056533, 579.29806301063525, 581.1468883467993, 581.84820012773548, 581.92189402895406, 583.75718540426544, 587.41244867976877, 590.54802957573088, 590.74288197670694, 591.3810716945743, 591.40470535244265, 591.99615476953568, 593.85086897766405, 594.30094517072087, 597.67462182318241, 599.32165436834964, 599.74180381867518, 601.04712069332732, 601.14664945162622, 603.02845108749943, 603.32053347306635, 603.38980316298148, 603.68970918640525, 603.80294966793463, 605.19070850544847, 606.02700800485923, 607.29818790573006, 608.58035237876766, 609.99113229793056, 611.0227897615938, 612.58832702771076, 613.9263126826761, 615.33648457787194, 615.96561403248154, 616.24954630096795, 617.03556871135606, 617.546019242954, 618.39477118920752, 619.10077562222318, 620.87317107487422, 622.38282098950503, 623.0318063556075, 623.9417793862707, 624.53099264763523, 625.28133137133705, 625.46270139977401, 626.0381381979405, 626.28559175169539, 626.61585062209406, 628.56481492423745, 629.48359286553091, 630.6662411411304, 630.7380205469143, 631.40347045408896, 632.32441536072758, 633.28087186559753, 633.62674617764469, 633.70091879473273, 633.98213020875028, 635.28814233004186, 637.98198810548342, 638.72135743320678, 638.84415282769874, 640.98780151651647, 643.81578731444847, 645.01225637287155, 645.37937627137637, 649.11468110084832, 649.23323279848501, 649.58318005748413, 652.58628555605264, 653.42882212340442, 654.0843197016959, 654.84875494015421, 655.93362436335485, 656.54751045573721, 659.05083313566979, 660.20908926848006, 661.66031245901661, 662.00600616672682, 662.9350834063938, 663.07124487386102, 663.21430940537311, 664.40516664710958, 664.7510471327297, 668.04281180608825, 669.43311088786663, 669.75677399201254, 669.99173061685133, 671.64101567062539, 672.88000294859728, 673.82069369327064, 674.93558805377882, 675.07372228033364, 677.84924524908945, 678.10632277643231, 678.4650807908157, 678.5648584946365, 679.46165537970887, 679.90974723516138, 680.54396450275965, 680.91391753360324, 682.5857781145379, 683.74813768989861, 683.87639541762042, 685.6369342105304, 685.97243064579175, 686.61385486259098, 687.3780515785968, 690.56990184565689, 692.69780358418291, 693.05769744876363, 693.0810442379601, 693.6175681288662, 693.95031427385254, 695.10923454263855, 695.40427996769461, 696.42263255454463, 697.50011090146086, 698.29654345563415, 702.17669709587938, 703.49681678798675, 704.06619729653357, 705.5607580022961, 706.04362480000918, 706.67820476075292, 706.75570441905268, 706.87467188064113, 707.40532972333153, 708.2823133841008, 709.86922195580689, 710.23029261474608, 710.45525529757879, 711.4170557502772, 712.30837678136152, 712.81548893753154, 713.16165703864613, 713.38342162762535, 713.89963938139522, 714.06444514073678, 714.26984111194599, 716.04345795912661, 717.34840954487322, 717.64890898054489, 718.04164594121846, 718.09841530629046, 720.0954638813829, 721.3655824705005, 726.21497472036685, 726.63904284493867, 728.84282810893012, 729.23040027409593, 729.50580816565491, 731.10799009357754, 731.36506475515307, 732.44117540616526, 734.65518019263084, 736.35198693826908, 736.58813780287289, 737.31477966029217, 737.72994706809925, 740.51052558465778, 741.66358710434372, 741.8321664494265, 742.50074582655338, 744.07898501149862, 744.48335183614984, 744.60250456710969, 746.52451134734042, 748.23518568597422, 749.13127387709915, 749.37940533920141, 750.0582423218915, 751.16826453477881, 753.52752996889183, 753.59767691764841, 753.94552291271418, 754.79689193336856, 755.50427191545782, 755.66875817994469, 755.96806287139259, 756.3807774245895, 759.56699606078871, 760.91230256858819, 761.06756242648294, 763.28901444036592, 768.52696361610037, 771.54030986870589, 773.6179811712052, 774.08129932971315, 775.07828789717541, 775.52606002628545, 776.1435440582427, 776.89876868442968, 777.05840025506575, 777.39279913549717, 777.63432572447743, 778.50058047753748, 779.27036842214488, 780.72405735940777, 780.94078963523611, 781.85666087079403, 783.74729786439798, 784.08438046414926, 784.47999668114801, 785.44909955179844, 785.54624561645892, 788.10759589968416, 788.58728150335628, 788.9877262684447, 790.23325778408844, 793.98060110379367, 794.30190034623354, 796.04241133010737, 796.46896230624588, 797.77869142999032, 797.82324763893746, 800.42611227077805, 800.79868736851188, 802.24150110084236, 802.84531102789117, 803.22182847024692, 804.67954058526379, 805.86774737653093, 806.17083907663289, 807.1140924630829, 808.69224169874462, 808.8745130623355, 810.43817661884316, 812.28621556208714, 813.22993950506179, 814.58036457656522, 814.69322004999776, 814.97932265173108, 815.53743666084404, 816.55032314655455, 816.59369124738612, 816.95847152092415, 817.34053808793965, 819.50876967242573, 822.55465144997459, 822.94642929940608, 824.01767518350493, 824.11763747728344, 824.31635556618801, 825.62261323926293, 826.42371303555967, 828.58125291254487, 830.20502072825695, 832.27635472259783, 833.93505636754708, 835.38510128155008, 835.63370318879527, 835.95049163115903, 836.00517338971565, 839.78424722227965, 840.10496865958021, 841.32214728969245, 841.65590505890896, 841.7857677610549, 843.74016204464795, 843.82119579648622, 844.12458382260274, 844.37293300132819, 845.17010003557823, 845.26450628331907, 849.07101674359853, 850.91062348134074, 851.00573648981401, 851.48888044089927, 851.59972029106245, 855.49958446495805, 856.78248510392052, 856.90250698963609, 865.67514242213076, 865.87752490590196, 866.06047585228373, 869.6951032632337, 871.70623192868948, 872.15234236615208, 872.32677757668921, 872.46544866119223, 873.51366974627854, 874.45077174554035, 875.07988604481204, 875.22956599224722, 875.6176973353065, 875.65882953807147, 875.79690552241141, 878.97836716263009, 881.50701928569015, 881.69935324461676, 884.52103483240126, 886.52057240116926, 887.67156335071695, 888.20291533338468, 890.33289444699869, 890.80204556124511, 890.98667133094352, 891.47527043927971, 891.63899416835488, 891.98411658809391, 892.80957092853384, 893.58652388706219, 895.52259009990701, 896.46902922369986, 896.85836930593325, 897.3509930368175, 898.48287781763509, 898.629109530866, 901.20720996725993, 903.31148006272701, 905.23735156851205, 906.56738316545579, 906.816052051508, 907.01911314978111, 907.47867407380033, 908.78926842810517, 910.1570619946541, 910.25604895230651, 911.1235207668949, 911.1763965078967, 911.43528338547151, 917.08399121985951, 917.61397606673779, 917.87640427515782, 918.42180351381921, 918.96618363771665, 919.79303757841137, 920.50791124900752, 921.97781984741653, 923.13545368368568, 924.44189068053879, 925.40960789792132, 927.13417317626022, 928.11127878954107, 929.31715361635349, 930.7016453998101, 931.13031232536002, 932.62081017145522, 932.83059163902067, 933.32333428842276, 934.09063219017094, 934.85267202153489, 937.05588619757975, 938.0554655149574, 938.58308200110628, 940.18101600031719, 941.41133832075809, 941.91636578899875, 943.89160545014784, 944.50317920255088, 945.5471098636034, 945.80606088265597, 946.08305728115181, 946.5752262133758, 946.76093752295901, 948.52490696021505, 950.01285114380596, 950.27734418646571, 950.98334926737061, 951.46571134119381, 952.55193500261475, 954.34027244547576, 956.70081579662644, 956.87833943323255, 957.8159021536959, 961.32457235172228, 961.7671774180227, 961.83677150747371, 961.94900400163635, 962.98857685088456, 963.41819892713681, 963.77588859528839, 964.04006087784023, 964.55677706039239, 965.06753449902021, 968.95919803523236, 969.69691344434136, 970.67806851669866, 972.09001082983264, 973.52781364379678, 973.60529903223903, 977.59856960565025, 978.3683379996362, 979.41711333838316, 983.11332205445842, 984.75930489109794, 986.05898116637161, 986.51344134687861, 986.88908027010757, 987.09444103759904, 988.45745129576244, 989.06449651105186, 989.30880427547049, 989.92758754841805, 992.80427573744259, 994.6010502325023, 995.22387769131012, 996.81744040727597, 997.83595828392447, 998.21767657188741, 998.56711006134583, 999.06760981826199, 999.76999799629652, 1001.3475977235099]),array([2.4716164388818185, 3.7904718499937919, 3.893078344347852, 4.5210291924006452, 6.0962311276088892, 6.6378793164574628, 7.0560214921709878, 7.9289657823675661, 8.5584354609661766, 10.666001025148656, 11.056431326265917, 16.915440984851564, 18.027978043178098, 18.81555865021441, 19.863650888484596, 20.652285901548723, 20.934255941052445, 22.096249103814969, 22.167000510036008, 23.932096796567254, 24.366468444981525, 25.036453431119305, 25.374451501249453, 25.584693885393502, 27.027905410350098, 27.169218537643228, 27.895848066516265, 28.620983673519678, 30.348303220794062, 31.247418721894832, 33.696215086845918, 33.804259609931819, 34.421847194265993, 34.453811350838031, 37.170015482527845, 39.098635510546664, 39.227124191712434, 41.596381826281814, 42.044777748920211, 42.399888508392671, 43.299077208214548, 44.575379854787329, 45.15976466821747, 45.705994619644862, 47.871184190567782, 49.801982859212799, 51.573569660123184, 51.863487200123522, 55.448135956702565, 56.567675800004814, 58.39160229509605, 59.838194207640221, 60.823142359903173, 61.243369398486998, 64.165004863886807, 64.305951761522323, 66.465002014741657, 66.997447475409928, 68.505762808411319, 70.477799827578934, 70.937382692172847, 72.057519030649971, 72.181290828279046, 72.298022185441724, 73.120170777483168, 74.616583419629507, 75.395688951357869, 75.880097125692714, 79.184943716540957, 79.984225699719815, 80.620619435834641, 80.658394633300944, 81.285952871579056, 81.966991119423412, 83.152526069583715, 87.202172264309567, 87.753749159349709, 89.433196962841905, 89.879866978608263, 92.415166397837766, 92.444141059673498, 94.653143734538176, 97.851493765196125, 98.108458958000298, 100.871409837618, 102.60479164960576, 103.55406216636884, 103.73337650035438, 106.16203979148167, 106.42623334615355, 107.60950203857844, 107.96390509923624, 109.05123642637668, 111.19557856486615, 111.82375061708437, 113.36734295837793, 113.8753980048037, 114.35467320132881, 114.44120094720085, 114.74637074405994, 118.21518979637148, 119.47098534068159, 120.42638972541504, 120.68541217466473, 121.82490382193554, 122.63046676423673, 122.96009034176535, 123.02456142278594, 125.14886806720344, 125.3690260129468, 127.63959332191682, 128.99968771979323, 131.0076095990089, 131.09710630095483, 132.29592639919977, 132.64130440676203, 135.2312549117085, 135.75818981888744, 138.31550074534024, 138.53532232645966, 138.87887519246092, 139.86673035509438, 140.28771901119319, 141.0085327645096, 144.4167154616724, 147.12840918819094, 147.58487377832228, 149.30992232660483, 150.69309575444848, 152.66444092599534, 154.22097554906301, 156.30106370948758, 156.79121919731179, 157.6083683329162, 157.91446432759435, 159.67390669415644, 161.57126509182916, 162.05159614403721, 166.47432700769491, 166.59298652583342, 167.70578328397863, 167.97021895810596, 169.19853350060251, 170.02067932947483, 170.52978913379306, 170.69746594570341, 172.07648041733506, 172.49220321809028, 172.6388220159258, 173.12176836113036, 174.6902267022557, 174.88099331604107, 176.39374842096382, 176.82583355074888, 178.43804818339532, 182.00578614315984, 183.03178300165922, 183.29877359453118, 185.34919747455768, 186.01895486429498, 186.16935558485807, 186.20967582282461, 191.09306966205995, 191.28753316044512, 193.98941418284923, 194.5580154348751, 194.83266331787434, 194.9443215928091, 195.23408103243295, 195.2701561783197, 195.89652191194432, 195.91984109355556, 198.61678285964334, 199.27747805042543, 201.00304329118507, 203.59527946053504, 204.64169282989732, 206.77538758326571, 206.82422421975099, 207.52648503821268, 208.34320606194638, 208.66399168390217, 209.31207900997606, 210.31439607790702, 210.41503414991047, 211.92899898392847, 211.97549936294743, 213.02735934442219, 213.2158341102928, 213.89954956067754, 214.92875235854942, 215.18102894131172, 216.34631584406532, 216.82717784981247, 219.76192612383321, 220.59932515099484, 220.96672054176219, 221.51785967819359, 222.32457026168905, 223.1126518669264, 223.71978159375485, 223.85773540903105, 224.24648683761842, 224.28901510614219, 226.84525304911816, 227.42539735006125, 228.37090804958396, 231.6234730985816, 231.8444405801269, 231.95951277052174, 233.10794363060339, 236.04410135015712, 236.81041767569795, 238.92689740237336, 240.42946870649507, 241.32368901825021, 241.95416984044823, 242.10460156588806, 242.53946502579282, 243.97584668856078, 246.65631606258, 247.55515653136629, 250.62699134787675, 251.13292963876899, 253.3711194008317, 255.94606558840027, 256.7239522047156, 257.62144361269554, 258.0178294152048, 258.39460524083682, 259.10241318148877, 259.63044184603024, 262.23328077299647, 262.81510989950755, 263.1396515782763, 263.61745225946186, 263.99509965409129, 264.10983074199521, 265.06494599706065, 267.95278304138674, 269.19171239501111, 271.30756393694958, 272.73519611348837, 273.05326107883229, 276.06392535382906, 276.81772204354638, 282.3404123179053, 282.65282309532921, 282.86093129168597, 283.59795826761336, 285.7342156836628, 286.42122597296265, 287.38430841124455, 288.57383925406731, 289.01986717019781, 289.15631512620251, 291.19112960728245, 294.47194552029981, 299.07083217981358, 300.40171950949696, 300.84366593153987, 300.95784393501816, 301.61608869181174, 303.13260281469127, 304.03057053837978, 304.37263150350958, 304.72813199590689, 304.93195659488651, 305.40707848951587, 307.88371729149759, 310.14420713260898, 311.08959688254134, 311.73577253946434, 312.87918204457583, 313.5558990637349, 313.97152494889281, 314.6706475353547, 315.85248926190559, 316.50307444754407, 319.67303551327888, 320.236762234857, 322.05746420800779, 322.17876584452915, 322.70382672253572, 323.02547004214046, 324.40486656704297, 324.59282689389011, 326.29644329237567, 327.32059031434051, 331.36900190608458, 331.43856031315158, 332.04884868941593, 335.22584686298387, 335.54912584209484, 336.53751800513771, 337.3541159762587, 337.38551900914541, 339.15617933567285, 341.00142440447166, 341.97231637577363, 342.23237239494915, 343.92508881302319, 344.09514120515342, 344.4706344316254, 346.69847839278407, 346.78899060569591, 347.00994704576959, 351.14506253988861, 351.94360556610803, 354.25220389652577, 354.49888109126948, 354.8491072856325, 355.07856780645938, 355.38128010062366, 356.42668375496982, 356.77638510150564, 357.68528670796775, 357.81796420738243, 359.34880592492891, 359.68554807804594, 359.8976925482358, 360.55772001332457, 362.81163910584689, 363.80028141013429, 363.97245826001296, 366.48654757601935, 366.58869571291871, 367.49156671407496, 369.17491617244241, 371.07099638256813, 372.55094299525831, 374.26630451268863, 374.49175038400307, 375.90716829300453, 378.21036696188821, 378.4068268087604, 381.06335127014768, 381.29842476041165, 381.86499273194778, 382.7460009585393, 383.58595017126385, 383.63535466418119, 383.84566404175405, 386.99192964687961, 389.14758680024738, 389.53408619893821, 392.02795019175221, 393.86028071199627, 394.31582081380247, 396.65431787504906, 396.76696969278413, 397.49118656633362, 398.10188605650069, 399.1984963581437, 399.38600641819664, 400.3201797540994, 400.7628447442267, 401.00337505328883, 404.48597998313585, 404.62813000744904, 406.2419819451332, 406.93204524568824, 408.7056696968512, 410.55052078775066, 411.99698868342625, 413.19869968080894, 419.85812555634794, 420.37649318370376, 421.68422976174202, 422.74055273595246, 426.41800536256443, 429.73885170206358, 430.84271891179282, 431.06264096915947, 435.31710430781527, 435.55625572014225, 439.03555148645415, 441.15052238308317, 441.40406281663803, 441.80149601562886, 443.38309252817123, 444.20736480866117, 445.12669631270728, 445.82064163161829, 446.16514783583773, 446.46233518133391, 446.64193829809682, 447.10871312281705, 447.54395748517447, 447.70490696480704, 447.97232212261929, 449.16017515383015, 449.89216006549594, 450.7322798844429, 451.50178849018329, 451.57558897133072, 452.45637834839732, 454.22945974897959, 454.51310295077991, 454.75885497026036, 460.34452705793615, 460.51072997643138, 460.71569526523388, 462.07668438315, 462.8849624626248, 465.95134958579808, 466.23495177819905, 466.41932994671635, 467.92973465536369, 472.46566450849701, 473.27341123385935, 474.43941459601365, 476.21393713537407, 476.55078100884941, 477.61532544620042, 478.30470342677324, 478.69343769587368, 480.30858893814042, 480.68674532808205, 484.40142426452775, 484.6366484465288, 485.50119806285198, 486.08808039268888, 486.92583828491706, 487.01536353115534, 487.31889796013706, 488.56465839665611, 489.37629791459068, 492.70014596799422, 492.90792866513169, 494.10573216218012, 495.89994916349718, 498.34049274556384, 498.70076552351037, 499.28674991903364, 500.2289103160021, 501.16211317491621, 502.07726332792885, 503.38695691188832, 503.76074425548131, 504.1899956084107, 504.49009254103845, 507.16778538868914, 507.27470678432343, 509.68866307994756, 509.80928883209265, 510.04401240265616, 511.9095705139672, 511.94019343951732, 514.46021454878132, 515.06047002742923, 516.72894312453479, 516.83546759559715, 518.5625826005986, 518.75511680611748, 518.94817361498133, 520.25956211837968, 520.69881390928913, 520.84152596824981, 521.36386112612695, 522.22162412576859, 522.82244686412491, 523.96785812547046, 525.96385943339646, 526.5124659670031, 529.72770461561663, 530.25389430454629, 530.43424199525498, 530.93304602149396, 531.24708634460762, 533.13730626973165, 533.58676419454196, 533.92350675100317, 535.84890932788971, 535.9338601619603, 537.17492925883596, 537.77651799750549, 537.82378814832703, 538.94131934643906, 540.20777348621516, 540.87829616763452, 544.25633740423302, 546.48230093598693, 546.54170123985239, 546.72408436467811, 547.68812700064154, 548.39385515580841, 548.93343817133075, 549.06426885124893, 549.8153982280304, 549.87921981479883, 550.92516016508876, 551.37451689772081, 552.04116681002961, 552.38768111647119, 553.68819630169014, 554.89646892807582, 557.19668134658616, 558.46473012599984, 559.50743275060358, 559.82635910366571, 562.05654374446146, 562.44625513774929, 563.25429859930841, 565.98753880753623, 567.17853999466024, 567.48427794432689, 567.64265266137795, 569.01111678825521, 570.28716645574275, 570.68017315615793, 570.99089976029256, 571.68962657529801, 575.89029575462121, 576.00596014626535, 578.07305146451949, 578.55571219315118, 579.674669661194, 580.85848847019292, 581.40172574423229, 582.83457353606582, 583.08710889527038, 587.32778744513325, 588.63239150653101, 589.15033883787544, 590.28436940012114, 592.58208502431387, 592.86259393850128, 593.657708145078, 593.79982868909531, 594.08429144569595, 595.30576090524391, 595.74086203724573, 596.02074639409295, 596.98959173957473, 597.5187681872037, 599.31593011511256, 601.2321336261715, 601.39349262504606, 602.40712656362757, 607.70423872219362, 607.82587146922697, 609.2769154156889, 609.46065012587792, 610.12487567545929, 610.82818095724667, 611.19023295118882, 612.53849014989316, 612.63205021033309, 615.00502098509094, 615.98284524881421, 619.04386136527035, 619.39429436273986, 619.73685955306837, 620.5708851204522, 622.40094538553183, 623.95364916413951, 624.36323435636405, 624.93913952931734, 626.69975893842309, 627.62097596892659, 627.72973871218585, 627.94502007692256, 628.11653202462367, 629.08372915120572, 632.04332358172417, 633.98708329539011, 634.42069840246143, 634.48162430951822, 634.62931667173211, 634.96294700828309, 635.66893825465331, 636.39780932608915, 637.57169292692095, 639.04198445982729, 639.55866736834491, 640.479013697352, 642.41590108519711, 643.04946033102408, 644.908502613005, 645.45126390919313, 646.30724812997983, 646.62779008429095, 646.89827678720178, 647.47442217985304, 647.5273261580063, 647.982337358412, 648.8470265994664, 650.00573858548569, 650.20276589769719, 651.91491388616407, 652.50014409317509, 653.04839367366105, 653.21958059487201, 653.91227530825677, 654.25865121129198, 655.8906205779532, 657.35329133288531, 658.60104492475921, 659.40561028324612, 661.52440039217993, 662.05505733623932, 665.42341435735909, 666.40142895644487, 666.69445666684408, 666.8494482761256, 667.12302257708882, 667.82634696368837, 668.1626133770003, 668.50204175830402, 668.56760341682514, 669.58751847054373, 669.87862447726923, 670.20530162198997, 670.34907606529441, 671.77132871066453, 672.30856163888291, 675.92320176294504, 676.06858174894364, 677.62878016209174, 679.32174141818643, 679.56845251972868, 683.19699144294361, 683.22815339369185, 683.36543579898228, 683.51940526852502, 683.71368160428426, 684.56619703657975, 684.91928579256228, 686.94235879911753, 687.65895407479513, 687.94467411862172, 691.15234553367736, 692.91232382930446, 693.0812370221671, 693.28515311059459, 694.87830742475978, 697.15510439941613, 697.87812743752443, 698.31798759993012, 702.93958226780694, 704.45048423794435, 704.5481323043706, 705.34209146920045, 705.62966040583001, 708.75927074246647, 709.69193553358718, 709.7587344718728, 709.90509912354787, 710.47883394710755, 714.6120181605479, 715.85260941059255, 716.8648172677207, 717.41047057911396, 721.08783050812053, 721.20601570110512, 722.86104730844988, 725.12468285368402, 725.38045924625487, 727.18959172415668, 727.86754001377017, 728.19509112674382, 730.1652133229079, 730.43901368464708, 730.54817164167935, 731.50615537603517, 732.19102887003214, 732.27796288021818, 734.14113877253317, 735.98172250515313, 736.15982929166478, 739.11520609566855, 739.67181786191213, 740.08372428100517, 741.17088192132144, 741.93365118387578, 742.32139777956661, 743.11095238094867, 743.68182840797635, 744.09178002207068, 744.31795404499303, 744.81719756067287, 747.12228699346952, 747.34052162420494, 747.38762171968301, 751.23767893498712, 751.34677245046043, 752.68035554757409, 756.08775417455342, 757.47453509510433, 758.70272292288769, 759.32909233079874, 760.20280618169807, 761.01209454582988, 761.14099674071315, 763.04815224783715, 763.8165808846594, 764.01010753947969, 764.11089114054266, 764.80009488994961, 765.66700714192075, 766.25192600896355, 767.38217817116947, 767.42601441405486, 767.98391477614803, 768.45729485552374, 770.47112935008829, 771.35436054928141, 772.68846120691251, 773.47253477807567, 773.54788798275115, 773.90082775252438, 775.13613358429393, 775.85391721578878, 776.24268822008025, 777.75700508342197, 778.88045694103289, 780.6280139628476, 781.91274087374416, 782.79600626833189, 784.29050341428581, 785.16413259891476, 785.93560019036613, 790.27335504230621, 790.78402997713579, 791.32255885997256, 791.63685202743352, 793.55214058112244, 794.02330112824916, 795.95474525538452, 797.68977413634332, 799.48585186208891, 800.95064015767252, 803.76003275474352, 804.48211411877594, 806.57272004504637, 807.06252074058841, 807.28376980600433, 807.31940464651097, 808.30780662532618, 808.70556073033401, 808.74670090801033, 810.6391861397766, 812.41413270730459, 813.00619436933482, 813.8155367983104, 814.18050725269825, 814.37078698971902, 814.40730158482552, 814.46136115153172, 815.61198487196475, 816.13775045204227, 816.85790839311028, 817.09626442451952, 817.37669918768324, 818.27596458098151, 818.47111735603028, 820.47956426478413, 820.66488579696249, 824.09494795176977, 825.12874985605049, 826.10085104061955, 826.20697682852494, 826.61058809926521, 827.62912410038632, 829.83034191913714, 830.29213549876988, 831.64652951301707, 832.36787727909575, 833.04209449742484, 833.14189296282359, 833.26598033295193, 837.23848865414277, 838.24391746728452, 838.4492561097793, 838.63895746464732, 838.86562889834318, 839.52760830339139, 839.74021073509959, 841.42120457813769, 842.99993709486057, 844.00184738067469, 844.72637847569115, 846.10377915053277, 846.45945545663767, 846.96242858076027, 847.95366483612042, 848.36095106124321, 849.18424882028728, 850.1317796181977, 850.53093680346069, 851.08924771852878, 853.2901754416647, 853.74640018656908, 855.23461924818139, 855.6483278595781, 856.76788115077204, 857.33434644625447, 857.86845316136919, 858.12823218924086, 858.98613862150853, 860.36429481813229, 863.04036044819145, 863.31464802185076, 863.61891375770495, 864.61317043868087, 866.25258302966733, 872.55560542950832, 877.98579081857201, 879.03143084484054, 879.87176459439922, 881.68697284960081, 882.33215031298141, 883.31553206611704, 884.85467828085905, 886.33450537306828, 886.95525325176641, 887.60260776220343, 888.87065839980528, 889.45278267944184, 893.10502907711486, 894.72808662198338, 895.14425671187246, 895.2485897357061, 896.91979640671309, 897.57466197991778, 898.8096230090249, 902.05885245776938, 904.2446242257754, 904.4828602567602, 904.68194157988717, 905.21396992156861, 905.27721532676492, 906.70704711518647, 907.69458894672948, 907.72400922447139, 907.96580521343776, 908.02396435353307, 908.64080780800464, 910.67021726067765, 911.90367879437179, 912.0284351565009, 912.2064905030694, 912.91313667620352, 913.46966585115115, 915.33712995705105, 915.71674522869205, 920.97690505199432, 921.19668823270115, 921.27324732057468, 922.03984153654369, 922.91173567773956, 923.36106466991589, 923.42913304006163, 924.18688044609894, 925.7871515159402, 925.82872302554767, 928.10453555374374, 928.26889059819905, 929.21767407799609, 929.64676749234752, 929.98688392887993, 930.78947008964906, 931.27344181878686, 931.31594436175476, 932.73088502644475, 933.50359483519367, 933.84688833660289, 933.93574626809232, 935.23896364783252, 935.43841586768895, 935.73750115603195, 935.864006386965, 935.93520997527787, 936.33342626619583, 936.50028891836973, 937.65721366080061, 940.57071191751754, 941.39506428403013, 942.58247574359575, 945.79415369875005, 946.53374768444723, 946.72172192544906, 951.1025001640985, 951.1355337116679, 951.18148809991226, 951.57331716681369, 953.00416293633964, 953.65665909500524, 953.8816393174028, 954.02348646269604, 955.22824141181525, 955.54016012609566, 955.80687756761881, 957.0413990932401, 957.07992615852493, 957.4123471114375, 957.59942496192423, 957.69783519477824, 957.92869796081288, 958.22515742085329, 962.92479305222719, 963.42255835091737, 963.55839010471186, 964.83926272937163, 965.63588788944878, 965.80722870521993, 966.02025723351994, 966.25268405216002, 966.57130481898457, 966.92013830531982, 966.99488987119628, 967.02719436247958, 967.22836366325043, 968.59855092030887, 971.22822455403559, 972.17531294186858, 973.90428213118844, 974.12160507435578, 976.4790327802325, 976.85652348249869, 980.97587244336478, 981.08587690377078, 982.42246079546453, 982.88695754039827, 982.92654888025265, 983.00891182010207, 984.22559910425969, 985.71476916628819, 986.40553324897871, 987.50597751175587, 987.75626941061444, 988.23088488648807, 988.3119724164585, 988.66963255271912, 988.95644842076194, 990.15051657647848, 990.89535702800038, 993.04305216651471, 994.17743777440444, 994.34086505048822, 994.84561066047456, 994.88016323112083, 995.06445460228679, 995.66450948913484, 999.4718288959865, 999.56661680712614, 1000.9697589624045]),array([90.674367400095477, 91.351754180449731, 91.463641930885075, 94.166345968659527, 94.822664561625942, 94.980077390436975, 98.177956706194408, 98.489949688446586, 99.48720033349764, 99.798895553668402, 100.91134398933346, 103.84871427674263, 105.51534871098646, 107.6865344431413, 108.37338947067511, 108.47286224678275, 108.6060325977394, 108.76126398417468, 108.90356573986938, 109.32899991258121, 112.23151859847094, 112.64179941078329, 112.99751977002852, 114.04056178019144, 114.37081724523345, 115.29241211665294, 117.42650636919248, 117.77166160059882, 119.98198233538993, 120.98698145505575, 121.44311393775877, 122.07963798067847, 122.71179205572251, 124.08403679240654, 124.57012421521389, 128.36127968538219, 129.01131985438417, 129.61145362394487, 130.94924007334723, 131.444081948855, 131.72759370719049, 132.40728593932286, 133.33646374167319, 134.35997782475656, 135.08336299711431, 136.00608351210386, 136.34911889037045, 137.55965800372022, 142.46721545907161, 144.27786245516191, 145.65737439881701, 146.58032161446729, 146.83939632836118, 148.17082244258395, 149.94272689105779, 149.97425029034574, 150.02564410085981, 150.15310609902033, 151.50476321289418, 151.98976727161534, 152.43677887508207, 152.86189488318777, 154.13770574350221, 155.215509623228, 158.35261481083563, 159.73706431523203, 159.7939881963905, 160.81046654456313, 162.62760479810868, 163.11355125892652, 164.31972505922067, 164.79546615029031, 165.57542725711394, 166.91354516762067, 171.60215827955915, 171.91412350667446, 173.77437582920888, 174.17864652439425, 174.37546848255212, 175.95517563905312, 176.91565192945484, 177.00377719945149, 179.64417453629616, 179.81162017729113, 180.10897521424732, 180.27938174553563, 180.31889917998521, 181.94474524386951, 182.40988441273385, 184.37230110838829, 185.77067545578683, 186.76354351213749, 188.95658132373737, 189.16117803394482, 192.50422528844322, 193.50893227195454, 195.1452237081773, 195.38741558629849, 199.23895039487806, 199.28119299428886, 199.87830421555566, 200.6889567372998, 202.0160771908165, 203.70525284326555, 206.37034701599765, 212.64962019717558, 212.99366894679702, 213.41701399766774, 213.82641128316013, 215.25852123313834, 215.95041886893907, 217.6010746653883, 218.11761892480357, 218.17548499000844, 218.62951795613023, 219.18813857574241, 220.76691675396293, 220.95633814818652, 222.03556370473555, 223.68131120082217, 223.87653614515, 224.32168288267675, 224.80115202057971, 226.01477444908966, 226.48789035557729, 227.14989423188399, 234.10925504561695, 234.72797674857711, 237.14009226989745, 237.33554199509604, 237.7294345811145, 238.0766158772029, 238.11226449714545, 240.98260485648584, 241.34508841412065, 241.7888740346188, 242.2813746215119, 242.98632561434803, 243.58956946698601, 244.7692854076279, 245.68252930600269, 246.09797777408713, 247.91409256266382, 249.19716586496571, 249.90905752331162, 250.26917544521396, 250.99785692574193, 251.54045382146111, 253.96168016936724, 254.15996695216248, 255.29771143194142, 255.34130125274268, 257.21431775878506, 257.58041957501609, 258.17318138896064, 258.33757458268229, 258.6077638980467, 258.86497826857277, 259.74725267909508, 260.84737908750986, 261.73958685413157, 262.37190581835114, 264.17311228511448, 264.89832136112005, 265.02922071288054, 265.95344632668258, 266.61682881180661, 266.71053093087249, 269.22696438310754, 271.40861167618232, 272.63589466394774, 273.50920224346305, 273.81665771708919, 274.04082696668348, 274.08003499792318, 274.51738884341052, 274.82827495514027, 274.88186254780646, 274.90724320198825, 275.41437175958004, 276.34604236337447, 276.55817146708154, 276.73924297437094, 277.14702086197201, 277.62781856438568, 278.23431569803944, 278.73162808610982, 278.95488564769562, 279.85104634521821, 279.97843649543523, 281.41955981497466, 281.67908479851172, 282.12861442938708, 284.29182024232523, 285.14909637241465, 286.97834377520707, 287.25147866293406, 287.38510014829671, 287.85127213654522, 287.96511791899434, 288.10479388232079, 289.26427911310731, 289.95720147583484, 290.18972009202889, 291.23994424503394, 291.31382686646174, 293.84545905571696, 298.29403424466244, 298.53568357573346, 298.68478896819624, 299.79624008746703, 301.82158222503313, 303.18639414700743, 303.75340633854449, 305.05567329216217, 305.11798067567048, 305.35240119968222, 306.2581535270877, 306.49839654721785, 307.2501867683788, 308.78315264395616, 309.41642527477177, 312.68324874226602, 313.23775770972065, 313.42468654023958, 314.97793058751012, 317.90437811969838, 318.49663051181091, 319.84345523629264, 324.03175606013394, 325.11445216898147, 325.52800042160209, 325.55072571834762, 330.67331541565238, 331.57574057510038, 332.1401702508212, 333.23387021028663, 335.09820825356474, 335.85780965798881, 337.88720521432941, 342.32105426711354, 342.42681074117132, 342.51830139931076, 344.63637836964432, 344.96590205284758, 347.1426449578168, 349.91093057401145, 350.32368032840003, 350.704430468326, 351.10870227509423, 353.10312331939076, 353.56202923058851, 357.32903429271761, 360.16430348059203, 364.00433321747909, 365.70432825623931, 366.28351231128596, 367.6588077534567, 372.83715764047611, 374.23684758791319, 374.26089341919169, 374.71458644257098, 375.56208803537493, 376.55452818042608, 376.93156530805697, 378.12076234677272, 378.17182050829024, 379.82966253594611, 381.71987086366187, 381.94782637222755, 384.44084340014007, 384.58463874708553, 388.6371384488898, 388.86253755624659, 389.85233924539028, 390.54617655454666, 390.86196591785864, 393.74066981057263, 394.97257127783155, 396.54995426511391, 396.94343894951356, 397.67738148957739, 398.26047876009858, 398.39118936117967, 398.86400731985736, 402.06527898036683, 402.5206645461256, 405.47228558182417, 406.86955996932568, 407.14023387284925, 407.62745676990454, 408.67881545703221, 409.75883785598649, 410.40466348960285, 410.64370038039146, 412.21808998363684, 413.27136487148277, 413.45705840615523, 414.72965704909274, 415.06902161242175, 415.40163390637611, 415.54123175509761, 416.70801117818377, 416.80904709808505, 418.48866466646433, 419.54138457714902, 422.30917645611328, 422.40716060218352, 423.10429633971444, 423.53826170209584, 424.02122459663207, 425.07494966604514, 425.43699003179734, 426.21180327041731, 427.79041105969799, 429.19105360505108, 429.51119388243569, 430.22380574954616, 430.71040559511675, 431.89622583689442, 432.0004143122419, 432.02299214901143, 432.5533293849179, 432.72644645516323, 432.894884233244, 434.31381994892394, 434.37690691880738, 434.53603055580049, 434.80857989014396, 436.34129265856546, 436.4981205467131, 436.65664313486536, 437.97833135043749, 438.88088710080962, 439.48758289291436, 440.20120912135019, 440.73046961791761, 440.81432601498443, 440.86724654920721, 443.01831792018783, 443.3520882156098, 444.4855125110056, 445.06461349490701, 447.02810288222128, 449.67677216585537, 449.91087447549688, 450.33470202750874, 450.40942980783171, 451.05271601599406, 451.16465075598251, 451.48471458526615, 453.47585318468231, 454.3419260957528, 454.84072334355898, 454.95141228170201, 455.1040112387717, 455.24054627642903, 455.58333904778601, 457.38755834275435, 457.64858557165161, 458.37415865466431, 458.68127964679644, 459.07518845203538, 459.33441717881476, 461.12609799670167, 461.17471104664162, 462.79874465611647, 463.86432529019447, 464.53668903693472, 465.9786682741227, 466.09822632170375, 468.64876035890791, 469.56063322623726, 472.18838141536486, 473.68311674008515, 474.0626623382658, 474.29719670122921, 475.10462070949012, 479.11324934618159, 479.18253922395195, 479.79738803543177, 480.21860300092897, 481.95212828447058, 483.14356355315283, 484.97504414475071, 485.94069705071956, 486.49075369810151, 487.93359701017681, 488.39647923229654, 491.45797215876206, 491.67914014578344, 492.49330301751769, 492.74367781772656, 494.04669772116745, 494.09222983250044, 494.42845075909077, 495.86376200663204, 496.02631706605519, 499.19819923772081, 501.97955063480674, 503.07106513720527, 505.04060272657335, 507.60679055990551, 508.64666346578946, 509.19074953715608, 509.36191203240833, 510.07697123467727, 510.27248461210047, 510.47680133476655, 511.14487314701222, 512.96326888864053, 513.65856579793785, 515.43566105308241, 515.54720825436095, 516.06202653627736, 520.75921694962665, 521.03568179477838, 523.39414200760916, 523.95550362412882, 524.94693058365442, 525.07004508023351, 525.24129374700647, 527.39401481225923, 527.4327258639172, 527.49122919194588, 528.93882070473683, 529.47586974831597, 529.56813317076148, 530.07779870926731, 530.82238030220128, 530.9398600469201, 531.40148661543765, 532.83075376786735, 534.37994058063043, 534.63876432875065, 535.08822667083984, 535.57284476049927, 536.56668594839584, 536.60497736346838, 536.85861889792022, 538.4627205619413, 539.00664397484968, 539.27961618486222, 539.93104910847239, 540.58320205595783, 540.81089666653872, 541.79364543408599, 541.86612577460062, 543.5030363230934, 548.55394354691452, 549.22454334506619, 550.47170279097247, 552.15068616352153, 552.42626396776814, 552.68742857367079, 552.91233953114397, 554.18431269634027, 554.48524633225691, 554.51455726216602, 557.08225312452907, 558.86896565571647, 560.29457865112022, 561.18666563707802, 561.30874088792507, 561.92026567155301, 562.09345528771314, 562.13977801564783, 565.7354880657366, 566.97489960860992, 567.5884023981788, 568.16288591977479, 568.19335507348467, 568.84750419018383, 569.39570894122642, 569.62383058813123, 570.1134187601964, 570.1497763316064, 570.72165694289924, 574.35006131214868, 576.14474590015755, 579.56590017481153, 583.0461341108022, 588.82968694905401, 591.90703728090091, 592.18970161333368, 592.29960194186174, 592.50232068363721, 592.62792051954546, 593.26745441411924, 593.35069467229198, 593.396357610157, 593.79386568620589, 594.63485899135105, 597.496045874777, 597.8230862918914, 599.52223550574854, 599.58539790681925, 600.08692062678904, 600.5374921780782, 601.936947031459, 601.96122808269263, 602.53806560732039, 603.7102679643815, 604.60494320721034, 604.7975318152636, 605.30417224786311, 609.79043529373826, 610.00382629356841, 611.94403933300032, 614.20160234272691, 615.01642167220518, 615.19681771686339, 615.56012817563862, 616.5865508971882, 617.39208701115865, 617.42172934749999, 618.83393361956382, 619.43664972942577, 619.70258082306509, 620.31504406248575, 621.44762475951882, 621.62845091853467, 623.14018359460943, 624.57192997188122, 624.88756566879636, 625.18316862864731, 626.346352322798, 626.97221649048515, 629.01811266860079, 630.06935220093408, 630.15673323677163, 630.3006523135208, 633.23716981873883, 635.84873328116328, 636.3491904619616, 636.63379156201813, 637.16247691456215, 637.54288005495584, 637.8517770010443, 639.37967531067454, 639.80190523237388, 639.88426441257889, 640.73930487530902, 641.58315937686621, 642.93350005391142, 644.1532304574821, 646.51357620098986, 648.32885282108145, 648.87076918736, 649.37979035144315, 650.65985696150153, 652.79264651463131, 652.86017777945915, 653.09126342083539, 653.395962872464, 653.6944659983933, 653.76340699727882, 654.13986961727926, 654.66592036719908, 654.73183674728705, 656.60681517138835, 657.2096746710555, 658.42903054714111, 658.83692632474435, 658.96097004868943, 659.07099441795469, 661.32562691119904, 661.67398117389143, 663.55993830041757, 664.53250696045518, 665.96020286589362, 666.20917540758421, 666.40210333062919, 666.89997800871538, 669.57421487433703, 671.18452334565131, 672.05766183798426, 672.14596197193873, 672.7018236107341, 673.75290297760205, 675.36264129891765, 676.17465010495687, 677.90683670204294, 677.97390517260339, 680.84860121992699, 682.50676273088686, 686.18141973074864, 686.352126919537, 686.5830064604462, 686.81016269201882, 688.9167974539464, 691.36030889824076, 692.03877402610385, 695.5456398450583, 696.06740429230729, 696.99179236364228, 698.60310235116094, 699.04398282008901, 700.91685341571645, 702.63369585171506, 702.83562361693453, 703.70609744810031, 704.79807866583769, 706.34587087750253, 708.22252612966611, 708.8280937401338, 709.09635481232942, 709.46020126145243, 712.98113324991346, 713.75302992445108, 717.3346707811836, 717.87827053066439, 718.05757117293138, 719.76053257246656, 719.99234945086175, 720.82319689014469, 721.39693469464237, 721.51178785453817, 721.54644383718721, 722.9556563098364, 723.92641422828319, 724.88996513249072, 725.98044497779165, 727.70525683606468, 730.42935751154312, 731.26656480742542, 732.00312267483537, 732.1316127185579, 732.68497618849915, 732.8829425810145, 732.92822643218074, 734.37495642380316, 735.72123348719492, 736.41289922417377, 736.93061912776488, 738.53673529842047, 738.62076199434648, 739.7257807058528, 740.85291324885475, 741.02357895602984, 741.47268067809534, 743.74900487559023, 744.32487080589476, 744.89986243420333, 745.18552675606713, 745.21619334640332, 746.86758935257967, 753.32880250889775, 756.50585537814334, 757.65760836401921, 757.70092834264619, 757.84175424364196, 758.07756029854443, 758.71637032340755, 758.88867714662888, 760.85870447289653, 761.22969477315951, 762.73653524171516, 763.92397309985699, 765.11068297144686, 766.97489755176491, 767.96098124157618, 768.27565911086288, 768.58936620655174, 769.26329187539034, 771.65779370366886, 773.74344999113396, 773.88972158482431, 773.95463253270577, 777.67027537655213, 777.6911926337259, 780.26201403850405, 784.20978997031204, 785.74770205807579, 786.47809993763155, 788.6750148645873, 789.04556429941545, 790.03362981978637, 792.07040962228439, 792.73669718943768, 793.06263061473055, 793.09945400853167, 793.46065029011879, 795.69100602525236, 799.75543653381476, 804.55223663159791, 806.88301679222434, 807.62790936030024, 808.17895045152704, 811.37743352893267, 813.59998277345051, 817.58439797966992, 817.82709085822182, 818.0212055056611, 819.60940581055047, 822.84639792783992, 823.33372035103719, 824.26396663778871, 825.60446503660035, 826.77641449213991, 828.41965239135504, 833.78871577475513, 834.03056800678326, 834.40434013830168, 837.73628340636992, 839.1911634373057, 839.87630027274952, 843.76091688861391, 845.1653623028667, 847.40380364021087, 848.71706418929159, 853.67460089715746, 855.91719653668247, 856.40194119876617, 857.06124597085193, 857.14067009696726, 859.83829364000553, 861.97203417880132, 863.97964493412894, 864.37994603208404, 864.98565823055162, 865.37965062730404, 865.80922281299786, 866.81991715926642, 868.42237989664841, 869.17820531929533, 869.89099772190468, 869.92725240324273, 871.41775362586657, 872.90059498685218, 873.05546518957226, 874.2827383907794, 875.46301818561324, 876.79228917136436, 877.08805645654934, 878.37328667389966, 878.41985652019582, 878.64994680638483, 879.09880985533027, 880.83827934081705, 881.08212594068129, 885.02787672278851, 885.58557989414578, 885.78777036886038, 888.73379099574061, 890.05500868588103, 891.83654943159684, 893.21749049742823, 893.28652914686268, 894.70762613140766, 897.55927884529081, 897.64877344344723, 899.02560409111675, 899.33683713763151, 899.7493523161844, 899.85701730453741, 900.05432273093561, 901.83992551513927, 901.97124106543981, 904.44078875276, 904.90591773921733, 905.54426366073585, 905.59059904389346, 908.87881203081781, 908.94143342294535, 909.88232639383523, 909.92652501281009, 911.49582827477775, 911.62990725772602, 914.38080097609543, 914.65313350379233, 917.84062721326586, 920.71319780463978, 921.32565023200425, 922.86475744764721, 925.43525482842017, 928.37232226528261, 928.94214594480138, 929.49984348139844, 929.59192142376253, 929.89744706565307, 930.62448780577085, 930.64984760412869, 931.51198530183638, 931.88538419910685, 932.4119421739947, 933.9329500807512, 934.3734466112453, 934.42340951068456, 934.54460310552156, 935.19993399944872, 936.21015899689542, 937.73169812154651, 940.65638884113207, 941.0361892463967, 942.93362638816041, 945.04942241508468, 945.68459466146658, 947.00642695878889, 948.43877908569993, 948.80851015197459, 948.8637095290153, 951.41017545472221, 952.34607566363673, 953.98118047704247, 954.07429968984081, 954.6928977555998, 955.2843832536023, 957.67854118247362, 958.33422700351264, 959.38663596625759, 963.33422407774844, 963.42120572658769, 964.79830086247455, 964.97729396000659, 965.16676502016799, 965.79561150266545, 965.94700502301498, 966.11264244654808, 966.48363462768134, 966.66249131269046, 966.9290821716578, 967.18351797605919, 968.82071494845536, 969.73755360563632, 970.11244839973983, 970.63308888781535, 971.90593560492198, 972.18469277156601, 973.68310629466328, 973.98092687971234, 974.22295058532188, 974.48256820890833, 974.80836370942029, 974.96143750529291, 975.14021453744272, 976.34999623678107, 976.59925961971908, 977.03585511413576, 977.48471788862992, 978.06272010651492, 978.08894067288509, 978.22449647147823, 979.77331379996087, 979.80206551397339, 981.80723977401885, 983.09396002388587, 983.50408305137523, 985.15474875401389, 986.63203271573173, 988.16146598054604, 990.47772572767917, 991.44892644857555, 992.13566613789737, 993.58284364394581, 994.36029379809759, 994.89576085646627, 995.70371126181146, 996.65739411573225, 996.73197431334597, 999.12307226332598, 999.77962047682206, 999.95711111873447, 1000.5895125508276]),array([68.775960016393071, 70.540871462313405, 71.382168089862006, 71.804889162695659, 73.219051587908851, 73.590171912461201, 73.919939034308285, 75.107757451871947, 77.07272583152276, 78.212073508044057, 79.943756775863989, 80.585996609459116, 81.181986597383386, 83.463376201584325, 83.559629094116502, 86.699790424793235, 87.197120868490401, 87.260727286320233, 87.917013395302931, 91.250840747898394, 91.351985425983813, 93.072278610765949, 93.347005067695974, 94.410236517180437, 95.822493426623026, 96.105366048258631, 96.505170846445395, 98.821196901304404, 99.771500168140108, 99.928007124627968, 102.28983391361317, 103.77112426657442, 104.79732803022556, 107.28404217661343, 108.63858622161169, 108.76989783711733, 110.50121954301007, 111.63081533723005, 112.23189924010448, 112.3463965117776, 112.97444410424573, 113.42368710035294, 113.82495237367023, 114.25229868894556, 114.79661281766145, 115.66435486900437, 116.63102408428242, 116.92989024442589, 117.09339526643053, 117.60617453260605, 118.39968784609272, 118.93156755800385, 122.76824189669226, 124.45416792045746, 125.76050234928177, 126.94819273582605, 128.0238239350316, 128.14403138771266, 128.42631397497368, 128.66678991263521, 131.84786246918279, 133.74625050779451, 136.84089536190689, 138.08467496761483, 138.78723418841241, 138.95014855012087, 140.59620609176091, 142.44334157213703, 143.65723657040132, 144.17285401905897, 144.64116435712938, 145.33561150285868, 145.98536644120435, 149.01975983198511, 149.88089259256864, 152.07812490826015, 152.679123932903, 154.50795100960309, 155.45384800360165, 156.16759415578241, 157.50203185279759, 158.4077336414073, 160.36590866809402, 161.19502552701303, 162.93305914841571, 164.28142995769366, 164.90212425434859, 165.85184416364115, 166.51590094346315, 167.05763029445814, 167.41321797603817, 167.5818428990975, 167.92177741427111, 169.38654596941737, 170.72852149904597, 171.13401206577711, 171.69190436484058, 172.2201041011248, 173.832298914614, 174.2353730629867, 174.35323033712356, 174.76147895066259, 174.96052272132016, 175.97092322007322, 176.62577765620347, 176.94739869319054, 177.2604083377795, 177.40963832481293, 182.28782425897751, 182.81029624785262, 184.02940065774391, 184.99101470547015, 185.48789142072607, 185.86078626919709, 186.28620049848928, 188.94818978869355, 189.32734303710185, 190.19988521280396, 190.57322126824599, 190.86819656287051, 191.01927029920546, 191.21638670890115, 192.67261867248007, 193.56416841781879, 195.10376865051737, 195.26704636664351, 195.91084767868239, 198.02617210741434, 198.46497116564788, 198.89899384349579, 202.13543706251153, 203.05662017653006, 203.75800467242178, 204.69042193585983, 205.40484409339885, 206.3216489895583, 207.53387563340758, 208.01727089088695, 208.15175808980339, 208.68838648840915, 209.6133991856201, 210.59626899479426, 210.77281672622908, 212.61820085454076, 213.97259456560974, 216.3499517601004, 216.41265070795191, 216.58513083261488, 219.58267282164869, 219.80676361640926, 221.9006206061074, 223.18164457065049, 224.47333431812334, 229.75143831107147, 230.22206120164199, 230.60231654471085, 232.87474245053812, 233.69900930840714, 235.45272157082815, 235.77167894285475, 236.23931102487165, 237.3519518828266, 241.94012845037378, 243.35166890935784, 244.99931246575687, 248.99290629156678, 249.90894343229107, 252.88472112377764, 253.54347353549048, 256.11278529366598, 256.54545111797455, 258.15464414474496, 258.78909655581191, 260.07770704431141, 261.38370938862926, 261.62718626925977, 262.67990814573625, 262.89598250596509, 263.12103242658077, 263.59219334881311, 265.987109000175, 266.67012257664243, 266.8986981001438, 267.30841196061044, 268.43346841467837, 270.4303294669304, 271.50348756845062, 274.77024413183449, 276.58300529358473, 277.93940754283557, 278.01226544104878, 278.53026805864442, 284.29214050478714, 288.25670543284315, 290.25816621597062, 291.67822534998703, 292.97912428535199, 294.17476389717535, 296.85777123666242, 298.22212263142967, 299.31655935967962, 300.20035202419069, 300.61829567566411, 302.0062595343457, 302.21767691739404, 302.44346471520043, 304.05522387469472, 305.70712308614327, 306.79505701667131, 307.23846636628576, 307.30623406419539, 309.97720222220545, 310.03537982361661, 314.07884167875761, 315.64151360689812, 316.41551583372086, 316.45238437598954, 317.55271994323863, 320.29666417839434, 320.57746015918917, 320.74578848549862, 323.31863977108458, 324.52039919495843, 324.83886852801317, 325.59554178167315, 327.7694713800658, 329.50175340590937, 330.90883157482887, 331.08674661708972, 331.43021154434609, 333.19591628485125, 333.61470518353883, 334.07571382337102, 334.21363824612888, 334.25230929522877, 335.26459774469623, 336.53432692549728, 336.69761942736739, 337.9607823848151, 338.55773701128788, 340.11895668118632, 340.50321249235793, 341.64849625968583, 344.45282600984052, 344.6072616912499, 347.14187114105641, 347.37514330285376, 347.97346710525835, 348.18210509845903, 351.03113618403415, 352.44149130843783, 353.10686834891396, 354.89845869864354, 357.25663301573411, 358.63469854381657, 359.16355323314576, 363.3349921227952, 363.43366841013687, 363.92551065183807, 364.04566108366208, 366.77828125186085, 368.049207675915, 370.24467025580657, 370.46756502227748, 370.50759789917134, 371.18443579956914, 372.15466676174771, 373.34854519833141, 374.26440036715599, 374.64465289365194, 374.76695529849331, 375.64866235193165, 377.85129362361039, 378.01924122768384, 378.21479327220254, 378.7723316514647, 378.90647815695559, 379.18597563500418, 379.26414267901436, 379.42727699931015, 379.44953969256574, 380.03919574433849, 381.85469654738961, 382.47862778930585, 383.52802524934981, 385.65022189070373, 385.89894245465706, 389.82214491823981, 390.63920668655413, 392.85623380508713, 393.63336440831438, 393.99946821739775, 394.82932325603423, 394.92057817940974, 398.01005832259727, 401.56345078350012, 402.56194930570263, 403.15903375339104, 403.8937826863833, 405.0717741374234, 405.58143809931676, 406.00314009558281, 406.02938812060415, 407.30793378540193, 408.39901866919473, 409.02720046349486, 409.33569695779119, 409.53515034297692, 410.0974153532224, 410.73992547403247, 414.04133353237228, 415.26264722484956, 417.4869227218586, 419.08720684577668, 419.70483713576516, 421.42517936798282, 422.2871497057094, 422.42691684021992, 423.41278676674057, 423.69334159794232, 424.08622136023013, 424.69655541640054, 425.6775867324717, 426.16875577615411, 426.27948767050896, 428.46154995226601, 429.99308851985256, 431.68241636161133, 434.0383250744996, 434.86948982472762, 435.31584550066503, 435.45842816383447, 437.01096270122213, 441.91030766612181, 446.77817895912119, 447.75173729759905, 449.27280616710942, 450.43037267518775, 451.70290247362419, 454.18432440092874, 454.55002231552021, 459.67557063081858, 459.96428332532412, 462.60764494810297, 463.1171064755892, 463.14889610645429, 463.26851074064979, 464.01887310080332, 465.7742473531282, 468.23072543810059, 469.32502478337881, 469.76288606947554, 469.78517834869689, 469.82150741991569, 472.03895232527015, 472.51163379828643, 472.75998513137915, 474.14604833521537, 475.05233002163754, 477.18315413480462, 479.27023885822138, 479.49312844887828, 479.97858540254811, 483.2890822246024, 484.43567121006419, 484.95347747200549, 485.71383069703364, 486.14834505228748, 486.4157917397261, 486.85060103087585, 488.17661169329386, 488.46926805559883, 488.83763347454698, 490.40476614465052, 490.82992896473496, 491.1857848783846, 491.32031946795843, 492.20167792333598, 492.34698519085669, 492.73758352109263, 493.52574288866816, 493.91436687255947, 494.57537907544611, 495.66346622985634, 497.3631497329589, 497.80862384836644, 499.06033057603673, 503.09984721588398, 504.6558449961002, 505.11189959003548, 505.59180678150381, 507.23163123849957, 509.36782340688018, 510.42505166724504, 512.79397059834844, 514.02161671186138, 514.37852468916606, 514.56272642637532, 514.84488065162236, 515.69391466426453, 515.98056013064752, 517.35433436678511, 518.95670298047685, 521.95478533758103, 522.94473842117145, 525.89161449766868, 526.02150865312319, 526.30067990889461, 527.27867144670188, 529.10160005408181, 529.26142410226862, 531.58602300873008, 532.35571444907396, 533.0462941892099, 533.411110208374, 533.48246666492378, 535.72088498412643, 536.09509241655428, 536.25460943085909, 538.23519808450737, 538.69526450225828, 538.84824687284208, 540.12187153925106, 540.34874460425965, 540.90129014663194, 540.99546668195205, 541.51539071401908, 541.57972411634682, 542.64353652380237, 545.49049929276202, 546.35141924515108, 546.86533805950887, 546.88663383057087, 547.3427251542638, 547.63971181599265, 547.80149539389004, 549.88827116281141, 550.46705182987671, 550.55403281777853, 550.58349634508772, 550.95767389792138, 551.60971842570643, 551.68088748117736, 552.16534562521679, 553.61842038094142, 553.67987440860952, 554.03332162976994, 554.22478668459701, 554.50177689271698, 555.47736380825313, 556.25863213488731, 560.04388429911387, 561.4361767253929, 562.14019097609685, 562.19393139057809, 562.55144352892455, 565.42206561833166, 568.19054623814748, 568.26302348126603, 569.04044319020034, 570.71183018450699, 570.89577448682451, 571.32705797896415, 571.96606296084587, 574.20914014210609, 574.43411448693826, 575.44675514577818, 576.29640193193745, 577.14133069353863, 577.16897679832834, 577.30868357068539, 577.5653350049713, 578.28360104006038, 579.17537243246147, 579.23536147499101, 579.29267555174579, 579.84509365072904, 580.32779590245082, 582.80562716532518, 584.31990369089056, 584.8922089370169, 587.14802629122676, 588.68368942741552, 588.99632004772491, 590.21865310486021, 590.36048770703417, 591.02657503019373, 591.3106023238779, 593.71207862875212, 594.03288751148943, 595.04489476827825, 600.11306367807299, 600.42842728886399, 602.36350026430205, 603.0909056421508, 607.57239410423392, 607.77338788317479, 607.95123171591899, 610.0381703047176, 610.65865599374217, 611.84074777954106, 613.1983694342249, 613.32844224488792, 614.34965062228343, 615.4386342423619, 616.10697552030513, 616.83517434911391, 617.43421041734052, 619.38565192179215, 621.19279647155258, 621.78999211577184, 622.21654992305605, 622.34914943102649, 622.38925834029931, 623.43638399102122, 624.24719998710032, 624.49820823381799, 624.59330012273074, 624.86108951674589, 625.87803781397258, 627.73851120427696, 628.18734708309682, 628.5767236581994, 628.69575134873139, 628.96279391465498, 630.97948867421064, 631.75360063985033, 632.59791516675648, 632.72663019666584, 632.97156784657045, 634.34218874573628, 634.53795516887283, 635.4813864349361, 635.66889040041383, 636.37978412786151, 636.83813492367074, 638.72080287421886, 639.70005061687073, 642.27314461076662, 642.99909025537238, 645.63142019618681, 645.74754600993219, 646.14570333239055, 646.91060470265688, 648.01701030551362, 648.17614234134999, 651.51903081009789, 652.66542821077292, 652.7259683740258, 652.90959008213974, 654.91085578362754, 655.5912415853719, 655.73972436557824, 657.37455989800924, 660.47297382009845, 661.65165671272916, 662.0378714836304, 662.87553177480993, 663.10647934583949, 663.28079505695234, 663.97741376118904, 664.10577393696167, 666.13169018123995, 666.73142960791404, 667.15147989965578, 668.66537586538175, 669.41874920898249, 671.04480356039687, 672.56865407673899, 674.94020693374034, 675.03111274347009, 675.59747962571089, 677.06297462341581, 677.58432053198737, 677.96229153292313, 678.97939792084253, 679.80209850198742, 682.88326717993607, 683.12025888467974, 683.50769177843802, 683.79990921292858, 684.8521075510522, 686.25955853483424, 687.50372431673247, 688.22254704710849, 688.37690796417576, 689.82291896171535, 691.02317947810354, 692.95423514262586, 695.68100088689698, 696.11571241082629, 696.62142271494793, 696.98694009139479, 699.83410347715153, 700.21452454873884, 700.61384982183995, 701.6698598571603, 701.8257138567526, 702.53856226987284, 704.62592359836276, 706.52644668181722, 706.69082773715513, 707.99243833263461, 708.13191761737335, 708.16903655094291, 708.57406852270674, 708.97058749699295, 710.61865158265527, 712.91735293307647, 713.92195023674378, 714.36214070573374, 714.63441906517698, 715.73538255908989, 716.05491502930363, 717.62433473853719, 718.29182365794156, 718.90404900984709, 719.71308851901495, 721.81726684067814, 721.98180493112147, 722.66603453974324, 722.73557690972666, 723.06996276773032, 723.17039200505167, 723.27404606128709, 723.31160521478807, 724.04794409759847, 725.16027155350309, 725.27577417148734, 725.56313949805326, 728.0143121618371, 728.62111302082803, 729.5734515775132, 731.08413194206878, 731.20587243656621, 731.62831013173252, 732.34534374493603, 732.40304520442123, 732.78015853950899, 733.16076630594284, 735.73747129418882, 736.38591742119888, 736.46212981163194, 737.01615528552679, 740.36093615592313, 740.41095392952366, 742.98936610513965, 743.17545614037965, 744.29654431265396, 746.04052440540886, 746.08894211729125, 746.19590802618279, 747.07119346366142, 747.57683171010365, 748.57341127743348, 748.6316005601725, 752.59018778168365, 754.30504023176707, 754.57733511039794, 754.6385307645985, 756.30508108022605, 759.71156392547664, 760.95205748186515, 761.23212996368306, 762.0004370614256, 762.25885282172396, 763.18058976452255, 763.33421464642743, 765.85315361972141, 766.87525947455708, 768.10374671164379, 768.16469417865483, 768.90033395810178, 771.74497576975364, 772.33181027109902, 772.80877927165102, 773.43552682555082, 775.03318419152686, 775.45997135325752, 777.70760628660491, 777.7608541245072, 778.57146392087759, 779.09554501705486, 779.31628435656251, 779.89903669527985, 781.47688899786931, 781.70309422756691, 781.79197415872113, 782.37461358551695, 784.13153888676027, 787.72477060892732, 788.65708102435019, 789.66141256831281, 795.96798343874661, 796.66507614382192, 797.41987237811111, 797.67320552314288, 797.7703201014242, 798.22500986358159, 798.68277420458207, 798.84833481543558, 799.4327589985611, 800.11610774197663, 801.66180695919468, 802.11202719901394, 802.67295284294403, 805.47825305996639, 806.46020334698869, 806.92999290550881, 808.42071627177654, 808.81072981914417, 809.20187355340295, 809.95582319027574, 811.33564191429798, 811.43709899110206, 812.01643019758433, 812.90798667047295, 816.6833441424252, 818.1598797548844, 818.58883806968299, 820.10481198366563, 820.77552150534609, 822.70793063593305, 822.75482729242265, 822.86571014719777, 823.34556250354365, 824.27531645347494, 825.88056586611458, 826.53939066437567, 826.75096475588475, 827.76366746045153, 827.92565258932984, 828.0755685865588, 831.13499092773827, 832.87276303920203, 833.53354522327504, 833.68230685791741, 837.16279549238561, 839.55930402963588, 839.83104621632208, 840.86350127587468, 842.19547709768187, 842.38524807686213, 844.15912362129302, 845.46225963225413, 846.59899506346051, 847.24478810445737, 847.85462064986575, 847.94045712331445, 848.79275818969131, 850.01788524812366, 850.11900311060367, 851.90968090335207, 852.0563005407115, 854.44668282098314, 854.58151564866466, 854.69238544727102, 855.00127353988853, 855.79855998410358, 857.19731962564038, 857.25845426579883, 857.37717824928586, 859.86011933454836, 861.73613534957792, 861.85394138751917, 862.87468715613898, 863.26624409330611, 864.04985622712582, 864.07899016079159, 864.72295608793468, 865.3279749536141, 866.96400191171517, 867.29308032732843, 867.81827261480703, 870.47681153740234, 871.25472920238121, 871.39843200464247, 871.474687402673, 871.71648183105754, 873.19738115385996, 874.34549238047839, 875.34490038258548, 876.05628417948424, 877.24771044150123, 879.10998563419457, 879.98677300232021, 880.4090828747743, 880.4453488402537, 881.25397840262087, 881.54545945494692, 884.97096806041077, 886.15885774130743, 886.33583663408717, 886.76502046629776, 886.79280572643688, 886.82871523808831, 888.43827224188442, 893.26080105275878, 893.50074527496599, 893.65930062782604, 894.91301842246469, 895.39169253236514, 896.27758534032921, 896.56711574359701, 897.6742473380009, 898.49229558172749, 898.91215654633652, 902.01778914317572, 903.00944652538283, 903.32841359027009, 904.59069394495862, 904.98535730511833, 907.65082530051643, 907.94232401561919, 912.4895785611551, 913.60341738517718, 913.9974600001176, 914.68104230904237, 915.50255028495246, 917.77544674115336, 918.36081360502465, 921.28232546478171, 924.30637597546809, 924.46318042495227, 927.28427943042288, 930.07576112738752, 930.35983088719524, 930.81889583811835, 932.36449263635564, 933.17284821145529, 933.30601269695251, 933.72248716478919, 934.55627808467978, 935.39763658425738, 935.90998022844929, 937.15084834227582, 939.58592797973517, 940.1691775588024, 942.30904013637246, 942.35024913401764, 943.36412291901354, 943.91066352259872, 945.59829217265485, 945.71609049117433, 946.57337366019181, 947.92603469159894, 948.01188382522196, 948.18909775323459, 949.22892809814675, 951.61904999803119, 953.3032039465395, 953.85530774195183, 953.93333994220666, 954.10053862977475, 956.43591550752558, 956.9711330277845, 957.42558904176451, 957.99071520087489, 958.57698133505892, 958.92937019596025, 959.1407898666738, 959.16291557216152, 959.18422804529951, 959.7249286123789, 960.48282326549599, 961.72089660859331, 962.34803839306221, 962.47691617858402, 962.58227147810521, 963.52607902694081, 964.84328955665444, 965.78492540687785, 967.26522228097895, 967.33691167785616, 970.10381347598832, 971.46514745876243, 973.23827039235243, 973.34308351255856, 974.12749931801272, 974.78757940252774, 975.07302545660662, 976.41651616421018, 976.89030765931932, 977.63281043304403, 978.06938977337688, 978.42058340917754, 978.5075146334774, 980.45803523312225, 981.93244392158306, 983.85019050714402, 988.82672581226154, 991.07137514649946, 992.30138455382996, 994.49580164319082, 995.58649781729116, 998.50127327606288, 1001.8865794298259]),array([56.794242496501056, 56.941852571499986, 57.405168514436035, 58.083988056699866, 58.910030510447825, 58.939726639378321, 60.028883162563062, 61.806457242511371, 64.30418682333746, 65.271621093327539, 69.016666796819678, 70.042875756485088, 70.626943021117867, 70.743455901624202, 71.224745325640924, 71.420028324294677, 72.660150225279196, 73.37278074754667, 74.862484748270973, 76.004335643619697, 76.808645672416958, 77.021877277601305, 78.271531317573931, 79.500510208595315, 79.538930197255141, 79.882778575965574, 81.166164885007618, 81.889826961275688, 81.924902712853765, 81.951866482483368, 85.2604621969829, 85.287418447357666, 85.684511631402657, 85.801584360292466, 86.627877998693521, 87.021113259897305, 88.293427218192917, 88.590826579723227, 90.392523155297269, 93.765995501945554, 93.884662360085613, 93.975863494337048, 95.038266370253282, 96.755121428985134, 97.512015546072575, 97.569182204946742, 97.667357878130375, 98.188747727501479, 98.971850482918427, 99.872771375445808, 100.36147610206886, 100.97757271492623, 101.10935013389329, 101.21169890005332, 103.36966371547332, 106.58302251332083, 107.5622848761209, 107.77626926839358, 108.00402936668627, 108.16942144665563, 109.14506101660375, 109.74576342440059, 110.96603439564461, 111.05960794743446, 111.44344427454361, 113.45382284426501, 113.80359010765285, 114.38669564203622, 115.04187423899434, 115.75361478341902, 115.87956460069167, 117.06138927918151, 117.28437520290983, 118.64624213981797, 119.51488990733412, 119.72100854466292, 120.61216279511731, 120.77698447326571, 121.95537292869616, 122.27268077698072, 123.07878336997949, 123.27035477414252, 124.37337005797198, 124.69012181398627, 125.64929961094322, 126.34955322147319, 128.92943533629222, 129.64173475366553, 129.89952299660666, 130.7141521613643, 133.86242738058843, 134.39700375263044, 134.77782771918743, 135.08478064124225, 138.01343699106863, 138.10020063331126, 139.4376417960579, 140.77658869256385, 144.11447208368244, 144.14375299147042, 144.76191967115827, 147.14782189152135, 147.9833668678489, 148.68269916250574, 148.77917710866865, 149.38996087452566, 149.45441125698395, 149.70420752301661, 149.80070832725212, 149.87409086842837, 150.05144236880335, 150.14793311653713, 152.86539646489774, 152.88913935913959, 153.08884512550949, 153.3045897935198, 154.03710184627096, 154.23446886708561, 156.82120821239494, 156.90867874802228, 157.51953504407908, 158.17728659757401, 158.83418376782794, 158.89835794991268, 160.8257186795754, 161.10366838439552, 161.75225413552135, 162.00990799527523, 163.14841649280302, 164.08416804851979, 164.76259304590505, 167.45274446227518, 168.15522700363852, 168.46667471424672, 170.01268110280097, 170.49160991533353, 170.97449559594477, 171.15747849757045, 172.23750839938828, 174.5485920164669, 174.76911172024745, 174.97720045282401, 175.04904273034788, 175.96586607155686, 180.25293265614897, 180.8727142532079, 181.30424133791075, 183.3943390859578, 183.69450666703199, 184.40433179467067, 185.42524866961003, 188.50442633360925, 189.71679233118741, 193.8811472540915, 194.5071599314301, 195.40341143448131, 196.9555279499794, 197.75762669001224, 197.9306934047047, 200.07154043756896, 201.20532511469577, 202.25926165923175, 202.43823205979729, 202.76190911461066, 202.84177681343425, 204.43884075717017, 204.8106766457845, 205.42447292630104, 205.92495856972099, 207.26370625920148, 207.71022073818054, 210.34297063285052, 210.76713591102774, 211.03266321688787, 212.01431784616639, 212.61736956638552, 212.68666229410354, 214.56612035130954, 215.38383078305756, 216.55196189259203, 218.67645777050762, 220.94244878591485, 221.25387326906861, 221.4610604080074, 225.25315079299153, 225.83083776501235, 227.29941556884665, 230.02998935200293, 230.31009703955556, 231.24440114711453, 232.72962209109809, 233.4083144961682, 234.30414918327338, 237.14123652867201, 241.19454766883615, 241.34016596397615, 245.31631791824697, 246.87657726008888, 247.67017623064288, 249.23140102802427, 249.59833075443481, 249.81019807249052, 251.0247318468318, 252.44154093086777, 253.22994391903026, 253.32287009701085, 254.89635064374906, 255.24997808617223, 256.08518507018312, 257.33507718259148, 257.69437913075387, 258.31958482165487, 259.9135119027161, 260.45168780136061, 260.48470516251842, 260.91204989551727, 261.26240639194424, 264.43378624271497, 265.71317738664618, 265.84515372025783, 266.02566808789635, 266.44894417096151, 266.70212530168425, 267.51273387859698, 268.58385928344558, 268.61777148852684, 270.20605177795829, 272.08574969562522, 272.36033746636315, 272.53564276091794, 274.47748559654985, 277.4590375756469, 278.00243357083065, 278.2988449872754, 280.58022910977246, 280.95652214065473, 282.22558244150122, 282.64337318065827, 283.0048618188514, 283.1166553759594, 283.40075498626334, 283.84579221818274, 284.40806630108631, 285.18030716882828, 285.37130827425659, 286.46355326397526, 287.91473237431552, 287.97275956994901, 288.17718495045574, 289.48735525756535, 289.7128528667069, 289.82719432336773, 290.26212863546976, 291.96001042815487, 292.61349221875713, 293.66194912170891, 297.20797180415127, 298.94588772934196, 299.53322034003645, 299.84884283607659, 300.03023488114002, 300.8026757668971, 301.68296211908512, 303.66146645124434, 304.07752540378863, 309.61315213762998, 309.88468513805191, 311.00703051889485, 311.10073477921344, 311.97051597823548, 312.2748992324677, 312.94185115886017, 313.20382343650027, 313.89340038938275, 314.45736244910631, 314.61309941670305, 314.64688481378801, 314.72314140445405, 314.82261067889431, 316.74815562893929, 318.02897525854587, 318.38439409441878, 318.81759961392498, 319.22224596181479, 319.66437078424104, 321.9211275637457, 323.68495021473859, 324.05475759603701, 324.17064920426083, 329.00266215043712, 329.78880155875669, 331.37693239223307, 334.23920285294957, 335.50608372709559, 335.6630872517141, 335.94284915980103, 336.38154818858158, 337.14772414091465, 337.81820986397463, 338.0218333433163, 338.05414312607564, 340.98940878647886, 341.37686771416503, 342.65422089862449, 343.13831606580345, 345.65479198555653, 347.02049897201221, 348.7169289912224, 349.87849056313229, 351.19798038651163, 352.24495104936926, 353.16706104263608, 355.42062118126415, 356.15981603801532, 356.50409604851438, 356.84816488261708, 357.23814421285118, 357.79936679572262, 358.3836720154128, 358.6010861768475, 359.89645470202458, 361.47778326073944, 361.92684195121291, 363.34340984090039, 363.5722113529892, 364.67915075759407, 369.71138188444422, 370.2757364219201, 374.14310138113058, 374.19375244640139, 375.07583652569133, 375.25066413617526, 375.44998529645812, 375.72314378770369, 376.13675396843746, 377.48991558942873, 377.8692756842571, 378.39337092804732, 379.64497424360314, 379.84904244353669, 380.60794267735321, 380.65937780811601, 382.44128530563063, 385.33247118067487, 385.82984718495538, 386.02762591044501, 386.43681216138361, 388.18065439792616, 388.76778792433686, 389.83045227530465, 392.62392680178976, 395.33546515390634, 395.58455613691336, 396.44985318651516, 398.74243740507779, 399.82968787456326, 401.15626214195692, 401.20341964229596, 402.33254432147362, 403.01867907738529, 403.77419231538613, 406.32420351560381, 408.59015144936865, 408.83513829053686, 411.53071145016241, 411.66874648709467, 412.44725032751899, 413.08679045677303, 413.84264088252837, 413.96813840138884, 415.17671050138927, 415.20684898951248, 420.14023086846703, 421.10935647567135, 422.00833497709243, 422.63121236719462, 423.67186203289651, 426.02004087936524, 426.15558109680427, 427.24293115086812, 427.62793249036713, 427.84093338056516, 429.29726337454173, 430.51498292345894, 433.95128674176027, 434.63024934651082, 435.34822431203025, 435.49341803775843, 436.14452309728568, 436.92845025391654, 437.33927881825792, 438.69645618835642, 438.73516570492393, 441.02380346530197, 441.31776448497004, 441.76544995297502, 441.97202573479137, 444.2464670105179, 445.36846424966825, 446.5402596304985, 447.86911324002716, 448.45553090120126, 448.91478561900414, 449.50196224954396, 451.29175970085839, 451.56783641539056, 452.20137106195506, 452.75815537811962, 453.56636473178895, 454.6693948002316, 454.70216187699475, 455.22473315542607, 455.30738556551665, 455.87895126818415, 456.74098488052607, 457.23215739237656, 458.49105039792295, 458.72341002424264, 459.54501137423279, 460.07068302546588, 460.69029147428199, 461.47469058195514, 462.01531338742291, 462.07801042264293, 462.25200883250261, 463.56860839675312, 464.15249162075514, 464.24281078107936, 465.46509853607921, 466.46554201018387, 468.78452348473462, 469.05614274376074, 469.57769847853001, 471.31324048536874, 471.35004349139092, 471.41976204117708, 471.86277956211643, 472.66082628789832, 474.84329272847947, 475.41355907697096, 476.02962279871321, 476.9609379979006, 477.32155012217527, 477.39859511980643, 478.77791136121641, 479.07328370295409, 479.43133935972236, 481.55290616327778, 481.72442741218379, 483.54171347610298, 484.27430069404971, 484.61882114450117, 486.44054291667226, 486.88650082820647, 487.83826003442721, 490.2506006997944, 490.98732114309564, 491.0745027863814, 491.50225703939799, 492.80801687214682, 495.45988712647943, 497.53376683573043, 498.06658090783372, 498.43048759178083, 498.60336041950706, 500.13496037431662, 500.93889366406819, 502.03709222830855, 505.23179045336047, 505.5919163678218, 506.19008204650345, 506.44608417597067, 507.57702858802901, 507.63959796713368, 507.73834294996504, 507.75956214084749, 508.33591671279163, 509.63027496766659, 509.6668410577588, 510.19056184827281, 510.52377480573216, 510.94845132113625, 512.16674891802541, 512.52851846771546, 512.77167271611529, 513.65783672970838, 515.06992443824663, 518.56660056946873, 518.63012945084176, 520.3573273530493, 521.37909333783716, 522.01882354597899, 522.13789679899401, 523.4480039983921, 524.16692235717005, 524.4066667534147, 527.23518324417989, 528.36298467937058, 528.61860469368071, 533.11899718081418, 533.32155176945332, 535.26786447865356, 535.86570390374709, 536.02889802541756, 537.05991072447466, 537.08359299638835, 538.23238280626117, 538.92732627062242, 540.31282774889439, 541.27810812350333, 541.31834545581592, 541.51869841025973, 542.6736542836918, 543.04036382223205, 545.73960405306104, 546.1467143833122, 546.53597063401617, 546.8584807009172, 549.7929912622468, 550.33887059860422, 551.74787483457294, 552.46754530551812, 552.65609287615189, 554.02245331196411, 556.04964488319911, 557.3137491358508, 560.42005395989588, 564.07149145342271, 564.73919087093532, 565.03266419003091, 565.62699597462688, 566.20674948242595, 566.27383807811361, 566.73791427194328, 567.09236651060917, 567.69819280223965, 568.32259527442375, 569.17392679767738, 570.13838071971975, 570.60619226267102, 571.75114682643698, 572.60130878225459, 573.00119375966449, 573.2410021284868, 573.80555822643225, 574.11886867057387, 574.26676892278579, 576.55466673739113, 579.77754796514273, 581.81334677796087, 583.65890774519301, 583.81270331237079, 583.86866382326866, 584.8581221534605, 584.97376278247748, 585.89753350550382, 586.69476547115676, 587.95996606629774, 589.37606668694934, 589.7551796110115, 590.44977486494702, 592.65906540307503, 593.21822339227833, 593.39108629078999, 593.87098611104534, 594.39778757630143, 595.64737327534522, 598.0599231227128, 598.28321455786158, 599.21883594137626, 599.64897350241392, 601.15217781497779, 601.67382059914621, 602.66685251534864, 604.56847481881425, 605.0275005423747, 605.40647298709007, 605.59180098735419, 607.20668076624054, 608.23726488820716, 610.09098586560958, 611.09511475371175, 613.55655057550871, 616.32626144682479, 618.719213786193, 620.03587788891946, 620.13760881368216, 620.23456101505849, 621.61381607554927, 621.93756852104627, 623.35399641598747, 623.42616544718965, 625.49573613872224, 629.81942522689621, 630.4207347657333, 630.5597166886879, 630.99240084788187, 631.76906261023885, 635.50726561424483, 635.76078930975882, 636.01701128391551, 636.68352001497328, 637.09691045756426, 637.68901232608641, 637.95875465407858, 638.65643770770203, 639.93744210782438, 641.28431614040801, 641.71045083796889, 642.15211711953748, 642.69399778964726, 643.9887326114424, 648.53672999488833, 650.36038140200924, 651.43751187555267, 652.09898588941621, 653.2306366814571, 654.70562156830783, 656.94930593005313, 657.06594718818633, 658.10954978060829, 658.34499535230054, 659.65701745563172, 659.85552531978453, 660.64443097169169, 660.93428844154994, 661.45318255334018, 663.34484097450661, 664.07627130565561, 664.95459535786438, 667.93814163947889, 668.75624336208921, 669.88286449664645, 670.60521802682479, 672.37821014178462, 674.08634847235464, 677.48898662703482, 677.79087075729194, 679.88581534015464, 680.04099505424745, 680.17626191493503, 682.53265779315382, 682.58651749090086, 682.86909546956758, 684.33895145709835, 685.45701446181022, 687.00736342886262, 687.39469104526643, 689.05879335326881, 690.58368162102477, 691.75352717041176, 692.00129371915284, 692.1617558742073, 692.64623157126834, 692.74696962084965, 695.01807022501214, 695.07274599127391, 696.01826864113684, 696.75628270824336, 698.6237440495338, 699.31281086609306, 699.39893382586422, 700.03814780662708, 705.29432768226684, 707.94793461867278, 708.36866088705881, 711.35489813141396, 712.04357089544374, 712.24561779024111, 713.28042821542601, 718.5342819933478, 718.84484500197482, 719.47345538218951, 720.74999957632463, 721.01698512560858, 721.90243169310293, 721.95213018293748, 722.52969840822755, 722.75709292439171, 722.99885408983982, 723.39403999825754, 725.03299801491642, 725.60804092921285, 725.80713255851038, 726.14026422751385, 726.55842078996113, 726.94726693709515, 727.98149258500655, 729.15078649613906, 729.54911009026159, 730.96565144954252, 731.16753348586019, 731.41944806222966, 732.23391095047668, 732.39850087552929, 733.71126458977415, 734.36947269894188, 740.20069615722105, 740.77491809853279, 742.71074637285255, 742.77087559018696, 743.38767999803497, 744.7037636534011, 745.09828101163453, 745.53235545782127, 749.04706362065588, 749.94946077129271, 750.29872838319091, 751.25236745186658, 751.67625941027381, 753.36867003029113, 753.65342059327554, 754.30347413002517, 755.42654798601461, 755.51101539748754, 756.91428490957639, 757.02161151297616, 759.09329277902509, 759.37496199343752, 759.83010621285587, 760.00705299605193, 760.15436290253706, 762.09090444823391, 763.28034075241681, 766.20273312009999, 766.34367868043807, 766.63150647763257, 767.87001626612164, 770.07002508317623, 771.05222119367704, 778.51533183897118, 779.78234388904184, 780.0644963618264, 780.3780258765313, 781.02662962362672, 781.17122192425234, 781.37773733585493, 784.86975201741495, 785.91467757860744, 786.47501116538763, 787.24567887517196, 788.182905193171, 788.46827868223215, 788.56934178400195, 789.61686727533129, 790.08208801744468, 790.25230688038596, 790.93723594064079, 791.4524011337744, 791.56709107518463, 792.91936544880446, 794.70541825242447, 794.93918114456824, 795.14618540211097, 795.20602833680277, 795.74714443579728, 796.53155475924689, 796.70133257639702, 797.07769323466994, 797.79927579097955, 798.14751327765623, 799.67824974499081, 800.07646972271198, 800.89486493499987, 801.35824831000366, 801.58961622003187, 803.38356124251709, 804.70170225207141, 804.98294011970302, 805.04962524230586, 805.22862227903795, 806.96040927090371, 808.190097317555, 808.50380442421897, 810.38844938655905, 811.23901978651645, 812.7966836210212, 813.76712407172477, 814.00877571210492, 814.66429653509408, 814.75019523882395, 818.37385579646411, 819.7298168547967, 820.29970094782027, 821.79174050448853, 822.51241476441032, 822.82056666218318, 825.59828250165026, 825.72280875618424, 825.78755063505048, 827.53052769806925, 827.75372807328483, 827.83069095065241, 828.9324734861093, 832.51395717557011, 832.7018147560907, 833.71053153030084, 834.0963581138019, 834.4743490290856, 835.08948188273371, 835.25756524176154, 837.26714798931505, 837.45918567752028, 839.20672874634283, 841.89034434535426, 844.5663939799789, 847.04936666384583, 847.80205898213353, 849.24534485876541, 849.57744801642991, 850.55458930071291, 850.7063985272224, 850.90904289907314, 851.3585237164184, 853.06276111815248, 854.04825901525726, 854.50018840165023, 855.41201150512359, 855.76523817918155, 857.64096250612874, 858.14960076484272, 858.80439081656846, 859.94974346344873, 860.96603198090202, 861.08687567562697, 861.66460249160457, 863.74231608032937, 864.56977509042019, 865.82548380094192, 870.18814695935021, 872.11752660850618, 873.21224703213397, 874.71518240623095, 875.8224493099741, 876.81492206845303, 879.41814503683088, 881.10042314252553, 881.51119633480505, 882.00498045781887, 882.37704140605035, 883.03628470717047, 883.83442301975106, 885.25087788020221, 891.17422117180138, 892.29232358151091, 893.2031922666921, 896.76123322031697, 896.81658605162454, 896.84133861019131, 897.30996325220963, 898.30719200678379, 900.10165218563884, 900.6731520959861, 901.71908478939497, 902.62603925912106, 903.67218297538625, 905.01868798619068, 907.03755080319877, 908.2401750306135, 908.84475049585126, 911.11951751574088, 911.75090095427595, 911.96097557632322, 912.72638906586337, 912.98290380959702, 915.31631428822857, 917.61550917742545, 918.807517390317, 920.31634637901527, 920.62774355835347, 921.33116856674087, 926.17559134578619, 927.56300943223664, 927.61020653060029, 929.85575937878741, 930.51707607447395, 930.72082285049737, 930.75475683195032, 932.10138836659394, 933.99989817460846, 934.58183567987999, 935.14309457316631, 937.61205602617042, 938.91159949034045, 939.01990043876083, 939.81544238569893, 940.01782224562885, 940.99270487906927, 941.14838603472094, 942.33359182223501, 942.66389229480956, 944.1081273895602, 944.56506228416731, 945.81822892673756, 945.87669600284892, 947.14001765581168, 947.53971020592894, 948.7993700042706, 949.35040016570213, 950.00745450019951, 950.25826893558451, 950.48685316495653, 950.82268384828194, 953.88265660824413, 954.97312877463935, 955.4980241425626, 956.36746466822365, 956.66374600984216, 957.09141948515025, 958.8666215131741, 958.98474974401768, 959.52288371706504, 959.91138219640663, 963.47680677059736, 963.61620848088592, 964.38062811834209, 964.82052370618965, 965.14451242863424, 966.53803047698034, 966.87775035479888, 967.56284655296224, 967.90165377565575, 967.99963681555744, 968.04481831578107, 969.57592751622428, 971.33551790445995, 973.05787859983423, 973.18549622319915, 974.3288804130159, 975.85417630906159, 975.89797335574906, 976.67597311695147, 977.66360424393065, 977.83653660588936, 978.03506136470855, 980.22380357543466, 981.65817535561064, 982.10012762356723, 983.29283291165586, 984.26880657285994, 985.9196088692994, 989.30034258704438, 990.0254767214625, 990.86736175521935, 994.35056225548124, 996.65799457067556, 997.00804695492843, 997.91905023356014, 998.74286501377981, 999.05552986440046, 1000.4443467817915]),array([75.51427673153691, 77.349208968100356, 78.706005831590474, 78.877632272071878, 79.462394016687782, 81.369967968483223, 82.130860504464763, 82.817491500931965, 83.840563994330182, 86.073484670863991, 90.176246034194747, 90.58572909666978, 90.72356894084426, 91.172178148934023, 92.311256092781065, 93.713668689524823, 94.193781027499085, 97.809162896169084, 98.055907162862624, 99.290945299932105, 100.87959203594325, 101.28724933184282, 103.07286602582363, 103.29815739059867, 103.73379958908869, 104.84373515841729, 106.00684976079972, 106.30665752042557, 106.78286361956486, 106.92322399528568, 108.42792640315672, 108.48575100391484, 109.31123337540689, 109.50256531177811, 110.22952951377094, 110.9999807747695, 111.14327392102756, 112.14678516577375, 112.26428952573218, 114.40696175634554, 114.67493775496072, 114.80511277101418, 114.93576097902212, 115.33679170215404, 115.4876861694903, 116.60068312355952, 117.17928092735148, 118.11819001404542, 118.49142378458997, 119.40838724005214, 121.64289886391586, 126.39403435123309, 126.58425030509672, 126.61895696954871, 127.15562528644546, 127.47572874236847, 127.86416264541513, 128.55385791710151, 128.90645056005505, 129.53323878128862, 130.13227570622357, 130.81047441177296, 132.53122629580645, 133.98249360451922, 134.24384426112644, 135.27096778522881, 136.05770412626799, 136.47656558268963, 138.00420353948431, 139.50727345060457, 139.82449931103022, 143.04836895911546, 144.65517337924558, 145.18792213061164, 149.96605489295422, 150.83327739748381, 151.54446121103189, 152.19895640693687, 152.46619147514451, 153.11960004897696, 155.65337603371643, 158.75870844372491, 158.82053210871638, 159.42095525598629, 159.74071154984318, 159.77571545550839, 162.50579094701791, 165.87647479290163, 166.7354023882325, 166.93574402584744, 167.3356537815568, 172.31616394252561, 172.82927736750938, 174.8510246000522, 175.68072659580284, 176.01528650606431, 176.13669952765395, 176.53890876187853, 176.6342130001506, 177.84608768594376, 178.70113523149672, 180.25925543866964, 180.71164219237323, 180.83897665045725, 182.79518419678951, 185.09772448748018, 188.04221679200225, 189.09780231149321, 189.39255829499703, 189.92705387014641, 189.99568339549793, 190.32656553888708, 190.3766439392769, 190.5600160041775, 190.71576866850592, 192.02957295756136, 193.9282449755342, 194.33217240458293, 195.35439170522594, 195.43434882434266, 195.45545142504045, 196.41057493977721, 196.58298183672295, 199.40483789382776, 199.54620481289368, 204.94280348252136, 205.38418786692182, 205.75750396976233, 206.01246411630984, 206.4437189592164, 207.29639181253452, 210.48482925161284, 211.17297191696193, 213.8800349989526, 214.5318417599475, 215.16047821742129, 215.83538529577419, 216.10714581365042, 216.33535242847233, 216.66938494675745, 216.81089193765635, 216.95913255354657, 217.38185548599847, 217.50060211154386, 218.05632534732928, 218.39425261799053, 218.60924973985837, 219.27216372783408, 222.70799872461461, 224.72614051102858, 225.60494212179205, 228.04915619949895, 228.49169549965512, 228.94803699070053, 229.77997310306168, 230.14951461784884, 231.02685847617394, 232.87668787308772, 233.45858050095788, 234.12663619627972, 234.40815558781532, 239.59897197766537, 240.09757125279765, 240.53872337530152, 243.2539504803477, 243.77640208309637, 244.34503789974747, 245.22059811422776, 245.4316954573292, 246.11232603970356, 247.1847377358942, 247.49099700469728, 247.83561206883442, 249.57944003921878, 249.82656405976363, 249.87121596153301, 252.58976533562196, 253.80480909116903, 256.00476049938612, 256.29663583819013, 257.01353539938515, 257.44644073664898, 257.72097394483581, 260.45893742627783, 261.67608235175749, 262.340899614455, 263.10842740033632, 263.43422406447689, 266.14552191851953, 266.77477060428583, 268.80303894519136, 269.59745505952708, 270.84935181601395, 271.41366352973722, 272.25644374198976, 272.68920246611435, 273.50723858698382, 274.94623943427916, 275.14241127138911, 275.24198037825079, 276.0512712128039, 279.08776517470289, 279.69239522653555, 282.49804666714761, 283.61511110414375, 284.08965709556162, 284.63483804375863, 285.49560616168185, 285.59941463410922, 286.09251670479597, 286.66833362250566, 288.03175809379678, 288.5294936047307, 288.72457393306485, 290.6001908368919, 291.9746543642172, 293.17290482409476, 293.62961261685638, 294.00980355297315, 295.13247466185044, 295.32796882401618, 298.59127072135476, 301.93804928568403, 302.24277286967009, 302.82648053447576, 303.04150701415483, 305.63684478743841, 306.2439435541213, 306.52347132001898, 309.42734875211221, 309.64946855993179, 310.7359104717267, 311.46096567228955, 312.74362950850059, 313.86886224325514, 315.3647341123322, 317.57914752533867, 320.07123472224305, 321.52297501612924, 321.60748537691165, 326.16113916708332, 327.34105632651074, 328.5479183471524, 329.48359717463637, 329.54059214795774, 329.60773020883107, 329.88384586051274, 331.91390658021112, 332.01009946936665, 334.83812164384528, 336.37787102758796, 339.57581496020981, 339.99537848431987, 340.06513409525081, 340.12308306375633, 340.82181306191552, 340.98647953090477, 341.15742826678769, 341.20198594823955, 341.25399087617433, 341.81357873017629, 345.68989467315674, 347.017208949961, 347.86292467116306, 350.25606092541278, 351.25495365519765, 351.52562012519616, 351.85846104531191, 353.41741508468419, 354.85181106417758, 354.92438027844878, 356.527803482889, 356.78510412633625, 357.73744940650192, 358.8966887129194, 361.09778210716252, 363.11761000594515, 366.22089113723985, 369.1068610673571, 372.61995811487833, 373.81685509955179, 376.31797531634851, 376.3942012814843, 379.22405622346912, 382.07899292131754, 382.85601871725726, 383.20898459823309, 385.61499690549221, 385.82665542984506, 385.94486167014276, 387.38754372085873, 387.41110213965743, 387.73649174509222, 389.35813169378497, 390.04925582122485, 390.23333818844742, 391.20820829586341, 392.81308833545461, 393.28399631105555, 393.54997467366911, 394.79925224908862, 395.43425542382749, 398.41112394311745, 400.24713360368969, 400.27295234251739, 400.35194891490983, 401.30266625849657, 401.75579552919396, 402.53613309335975, 403.53236553654352, 404.48229327972604, 404.9244167593435, 405.01405100651004, 405.30364908569209, 407.88946471245197, 408.78542987073172, 410.35091968245354, 410.5258850461538, 411.41345733831076, 414.39195498686865, 415.21844343564345, 415.90976857899352, 416.90611759544606, 420.5289862612704, 420.94795879938715, 423.74014472641545, 424.51258364286269, 425.37935294791902, 426.02893981653403, 426.47949288890601, 427.3659416527284, 428.51758736894624, 428.5616814990081, 430.50265302523064, 430.74630356902054, 430.80210129150572, 431.01760218519496, 432.24742595881071, 433.15053710505742, 433.17723721772802, 434.87248127328695, 435.000714544662, 436.18940718157347, 436.30689642854162, 437.82821388872441, 438.09091110989493, 438.42942383333121, 438.52309088622781, 438.85212984349818, 438.87294535343028, 441.60826121386265, 443.23647245601387, 445.26750497189676, 445.92053204714853, 446.84460587861412, 447.40512184083849, 447.42957485364832, 447.69410247243786, 448.25003126265455, 451.18770412757107, 451.42909410765748, 452.3444070838774, 454.051603703436, 454.2645783118474, 454.92231133379079, 455.38191202652712, 455.40458212897278, 456.53445682798076, 457.19879503385027, 457.40849337464607, 458.17279790958725, 458.65299428571109, 459.90488565573469, 460.19094176100151, 460.56221433351442, 461.4939202319959, 462.37353760119277, 462.72744915220943, 463.27055686874877, 464.03180470865851, 464.05586439018924, 464.25715932503988, 466.88706249369994, 466.97262224856456, 468.74122724666069, 468.78960112282385, 469.65604119663936, 471.10026811087266, 471.30659695826421, 473.07440111092046, 473.10237504027668, 473.43728092887898, 473.88062421730319, 474.11290009477636, 474.50582938850141, 476.93365321484993, 478.01823706445634, 478.58656719540005, 479.23346699162266, 481.03678640052578, 483.44519275647974, 483.50884896791047, 484.30795336842294, 484.38804345324957, 484.89984237383834, 485.52761878296229, 486.22451131506108, 487.43574914329514, 488.22843608633508, 488.2822763349003, 489.05592263018355, 489.80690730441302, 493.05833161612679, 494.23795938938207, 494.59418969606139, 494.99963471028769, 495.84482715817938, 497.75302837212507, 499.29613903127984, 500.24595323414934, 502.83536309640328, 503.07717711346515, 504.14771132440768, 505.04034506676754, 510.41072938254905, 511.32538602557992, 512.78688396606583, 513.47045801784896, 514.36269211690956, 514.95964384952163, 515.09800288610609, 515.38702389223101, 515.65365614181349, 515.8356199823711, 516.45698564618033, 516.84589996009913, 517.31018990739426, 517.78257045399869, 517.80654997150316, 518.47450947218579, 521.47008916076288, 521.61158407928292, 521.69373072971621, 524.25914821865456, 525.38613392467767, 525.6643267213957, 525.76012616471553, 526.14173563386953, 527.28422884562224, 528.43873728782739, 530.21480386474263, 531.74218131832242, 533.01724152396139, 533.22615009648689, 533.79131547159648, 534.35468845064452, 535.47389698602626, 536.82967388706084, 537.0752024152913, 538.64452000162771, 541.29058836800505, 541.3405413892807, 541.5374428105597, 542.52881174665379, 542.72632214903854, 543.63081431421847, 544.10596558547729, 544.45272689058413, 545.30846354329981, 547.00574739995318, 547.98118951382241, 548.9400734821495, 549.05136372638992, 549.36747036961128, 550.24826480810327, 552.09177387703141, 552.35404572464961, 552.45742434094916, 552.82728879560341, 553.90691664777773, 554.00506961748431, 555.05400004102523, 555.58292024432933, 557.43613065676334, 558.19621934498969, 560.934793250751, 560.96850316812584, 561.80713517803235, 562.54766428665687, 562.84493578173669, 564.7964978421644, 565.19881328970735, 566.84508575422603, 566.92582478335646, 568.14980928295267, 568.49201006059764, 569.19901549968245, 569.29394740755879, 570.19267034950997, 571.03423686872532, 571.07042996441601, 571.24609300225461, 571.8844396087585, 572.10844028149518, 572.50006345087616, 572.53119978654388, 573.2291322161899, 574.16842803758243, 575.02266401574707, 575.83828433273982, 577.57385283084693, 578.93043062698132, 581.29523623919727, 581.40104218790736, 581.75277071181586, 583.02455245527574, 583.80558444126768, 583.99966080678746, 585.79040520172953, 585.81715142298765, 586.07973060316442, 588.09386393146963, 588.49487527439624, 589.49143363499786, 589.85447879517324, 591.3684063554424, 592.19678000961733, 592.70665509424612, 595.05314692894819, 595.57032973039429, 596.06967000342115, 597.02008507658195, 599.79213768777447, 601.96006941012695, 602.19222812775672, 603.80690619313532, 605.65872268333294, 610.11492283070413, 610.92394469385522, 611.53007259479966, 611.56148535983823, 611.84942531575575, 612.97987812753183, 613.35135589730442, 614.08684183273533, 615.95566133736486, 621.24291833023506, 621.28467166988901, 624.46144956067894, 624.49095251000267, 625.74600872273481, 625.90486891366595, 626.05466790716048, 627.16509323972298, 627.71639716478455, 628.22824709447605, 628.61627627731798, 629.35493602801841, 633.84324250220413, 635.11191702255826, 635.37176170576083, 636.89520455830836, 636.95238087148982, 640.62862668209948, 641.50848347675435, 643.13217730694168, 643.27149584415486, 643.77768587908292, 643.93163840990462, 646.07811046966776, 647.41026145561511, 647.53350272027103, 647.74037451899721, 648.52329060696638, 650.18688388364819, 652.39700574422, 652.8484020361243, 654.91356850431055, 655.31381767838877, 657.28746515161947, 658.05456111302271, 658.65994563324762, 659.1177980266732, 661.15960731927839, 662.19234620736415, 663.77370902086443, 663.90547830484809, 664.32523846280526, 664.46373889185838, 667.05964725670287, 667.93944380602863, 669.3080289785355, 670.72233021462876, 671.10471254508752, 671.58237078273282, 672.1003472482563, 672.31701513044504, 672.38506799035281, 673.76024065438207, 674.34472709961005, 675.64329182494578, 677.3398896555567, 678.641442850457, 680.21796744111259, 681.73445282868227, 682.41965558522759, 683.55672562444306, 683.83086652379961, 684.69764730869213, 686.29571996521702, 687.32537712358851, 687.90830819061216, 688.76140434035267, 690.13776120797013, 691.27559011278754, 692.62155144726478, 693.9493884678418, 695.34268782745005, 695.58376906840851, 697.00771498179006, 697.37694002709293, 697.70221665372515, 700.88307807588967, 702.280994928327, 702.40922701005707, 702.47747047023813, 703.07149104025029, 703.8599849461865, 704.41500458818462, 705.91891609560935, 706.26147925038958, 706.52441845674616, 706.80711098886286, 707.00896714782414, 707.14204359087569, 708.66700968561327, 708.84928295700615, 708.9709743508929, 709.28817383971545, 709.82233792296392, 711.58604938845076, 712.28445163298716, 712.365425907293, 712.40613550457897, 712.67431801107114, 713.51359224311125, 713.83708796563246, 714.13829090062109, 715.64361718176031, 716.57552715233942, 716.89336558829223, 717.345744845578, 717.70298665917426, 717.79822025800388, 718.69005595939382, 720.60790019019021, 721.59619582480559, 722.06060896827455, 722.49935448014537, 725.12966155050617, 725.36493496782464, 727.58408363444948, 727.92207223953267, 729.66107038664552, 731.37052504565213, 733.07691542147211, 735.43194449067357, 737.2429941959266, 737.48514704434035, 737.99262354107543, 738.89733358706815, 739.93056477309358, 740.48603454492877, 741.4659786191271, 743.62180895743745, 743.76711817210628, 744.11528777965009, 744.27768259218431, 745.81793549906831, 746.28037693986971, 746.3738443649072, 749.72761370655542, 751.30625839380411, 751.43703813764364, 752.49192653615376, 752.70174559527788, 752.89911216357859, 755.53211596160463, 756.56795118811954, 757.00379081476547, 757.60664199987025, 761.72153655958687, 763.25333106770165, 764.98983386506279, 766.44049905450652, 767.16174496192025, 768.01831370729099, 768.13250527975413, 770.09265743347385, 771.07467916115263, 771.80222079544387, 772.21393913055761, 773.10969120153857, 775.49984652084481, 776.99944669730519, 778.76538254291131, 779.67028074887787, 780.64560966598549, 781.47107111937146, 785.42201671955354, 785.4951692221581, 786.57922589464363, 788.23025111804429, 788.99299718265638, 790.0134596147999, 790.2284359942704, 790.74671019462437, 796.74399904364702, 797.21286388405599, 798.82170100898372, 799.54495180843878, 800.61833271086073, 802.84933117711773, 805.22873624146769, 808.11576712727299, 808.17179642863709, 808.43232192057474, 810.52264482832334, 812.8020171756848, 813.09750176814623, 813.47909735136034, 815.15180208591357, 815.64914382677125, 819.86108271284331, 821.19993313521161, 823.68311995289241, 824.93777223739949, 825.20822108894185, 825.67593249482024, 826.49623517422242, 829.15118884004778, 829.81477002797681, 830.73176414468219, 830.96476973424456, 831.23252490919253, 831.51887647021226, 832.56079946352941, 832.69989991971534, 832.87386567406588, 832.95944834783404, 833.17689344835776, 833.45643504522207, 834.35529512977917, 834.89561219088114, 835.62594032050788, 837.32409614488711, 837.36516469970491, 837.72437699248678, 839.10942559675902, 839.94227327546923, 840.16957657761634, 840.56040994524926, 841.01307825115452, 841.46754719917874, 842.22828470269951, 842.46296645967129, 843.68386053068696, 844.69185620141116, 845.44201623415779, 845.7703275854567, 848.94227494842767, 849.20342029700555, 849.24168247877526, 849.61061080495131, 849.75607278415396, 850.13602748165852, 850.31721814805121, 852.15497811326054, 852.73492300374915, 853.10245473740451, 853.2064702231927, 855.00857095683705, 855.80546723785233, 857.10674691306986, 858.07386949377712, 858.98067658925686, 859.01328022850601, 860.67617339184153, 862.16971575790058, 863.41597743935631, 864.59131199057106, 865.0663491370816, 865.32417958367932, 867.27800447779055, 867.44748886406774, 870.06112158250278, 870.26828131932189, 874.17408889219871, 874.72319307013754, 876.08851135685745, 880.63515515165068, 881.64037215995688, 881.81092420742755, 881.84885941159018, 882.08180549457325, 884.30457188082812, 884.71148860426024, 885.86777080111801, 886.74094371916624, 886.86987787474698, 887.66488261086988, 890.39266111644361, 890.53903562599248, 891.25309704858364, 892.22460811813994, 893.01554082287248, 894.26090428730697, 895.16246719908656, 896.58265956407161, 896.70156486814278, 897.14706711764472, 900.366941236157, 901.40649478701857, 902.80799915467026, 904.95922589440295, 905.57238067987157, 905.79294350334135, 907.04441156416578, 908.0493224729787, 908.32936297052595, 910.56365926491833, 911.25038722632678, 912.44214662666411, 912.78549981118374, 914.17732540544625, 915.94839655085593, 919.12267361723241, 920.56161492436809, 926.73899724091098, 931.75039370150819, 932.01808236379532, 933.06942722916278, 934.40441758591157, 934.67649446598637, 935.715182601317, 935.99291026164246, 936.11200956036862, 937.11553766449322, 937.17631917948484, 939.29709345166907, 940.33109338479574, 942.96314698130891, 943.9832688617214, 945.21995833054962, 946.35598143423465, 947.49012966479449, 947.59437856311774, 947.8709724197422, 948.32220019107444, 948.8759645151639, 950.21136092290953, 950.62982797894608, 951.3074643813045, 952.04950391270461, 952.67357161684754, 952.80591593412259, 953.5651678938035, 953.9331224291916, 954.9081261130649, 955.42600898814317, 955.97722631882186, 956.32981991524855, 958.45301674219365, 958.52325177046771, 964.37035875442473, 966.78073650669091, 968.94323503036287, 970.35103822158578, 973.16589053634914, 973.38520256784773, 974.15337734555226, 975.55210726800044, 977.34332605186478, 978.21288046158759, 979.81040276489432, 979.83837033047598, 980.90616285260774, 981.28144736759543, 982.57787407860826, 984.67064007371948, 985.13713178228693, 985.63660628800358, 986.39841771558042, 987.17604116943278, 987.42611356568557, 987.56969434847758, 987.59381802166888, 989.84092144233728, 991.35389342452811, 993.99704470181609, 994.08134821949466, 996.69748714565355, 996.97100464968867, 998.68769840213656, 998.75122053024359, 999.73115381262369, 1000.1331662853167]),array([58.084019546786983, 59.214893178294886, 59.720026264443483, 62.628425732692264, 63.213311300808719, 64.566039929900256, 66.074698505412243, 68.836900533235507, 70.107374973812739, 70.701717769823929, 72.045761370607636, 73.906284471549668, 74.328159936658039, 75.289428256916736, 76.971521729454054, 77.883440741420131, 77.920263586784031, 77.991944394277994, 79.910222267352793, 81.278296178035916, 82.326314975044269, 84.357870056463511, 85.980408390730659, 86.601774716782671, 87.35076309109742, 88.529253783831635, 89.773605306709584, 90.533828462950567, 90.83889164300858, 91.218228358049302, 91.381491556905331, 91.441788614324579, 91.49587631000378, 93.292450566106751, 93.771599640752996, 93.968504195262653, 95.158363885949015, 95.984035227712084, 96.798379499523165, 96.881533039294723, 99.583710711745695, 103.47032251482855, 103.92044108666978, 105.1536144261914, 109.24788273634562, 109.33929527138397, 109.87204921107285, 111.40145386452247, 112.80694911388269, 114.70536951687384, 115.1414199551746, 116.67719624436037, 122.2112654182741, 123.04538620521356, 124.07766150176393, 124.33640909033093, 124.7777222839476, 129.35639805322984, 130.58057500032439, 130.9167549739019, 131.60706486152668, 131.997555173699, 133.31509422819326, 137.48246030474311, 138.02168828591826, 138.78371991436384, 139.70527280266271, 140.58905405906836, 140.63310380685255, 141.4075290903854, 141.70978183246359, 146.09716217692738, 146.85423013217724, 147.25976849541013, 147.6569947254053, 149.69067598128296, 150.01094106371062, 150.31350392065175, 151.28514305372428, 156.44103079681307, 156.69229288611763, 157.88790651863997, 157.93612051785695, 159.26611974289642, 160.26836436321437, 162.11312726418882, 163.75803192142487, 165.55864161656987, 165.69797272794784, 167.61727794661905, 169.28756262763608, 171.33044549583454, 172.2095189335293, 173.74637726142612, 175.17817048353672, 175.51724975822083, 175.89312307873897, 176.30424410180527, 177.37480062442486, 177.73355971401668, 177.79801221467034, 179.86492197678885, 182.1034914318912, 182.88697547960035, 183.54833792953414, 185.32130796697038, 185.87413591396964, 188.3410395256418, 191.39201531756413, 192.05793561506553, 192.85723596138672, 192.95316385274973, 193.28379073308281, 194.99434559990175, 199.49315685298771, 201.23969230619682, 201.52103167572363, 202.03397855431692, 202.88702045253055, 203.36359792423517, 203.95971850795581, 204.2610416686131, 204.58375401731539, 206.22246163177181, 207.18223723747568, 211.94354712613142, 212.15042644279984, 212.9303710622124, 213.23548767464044, 213.73927735779318, 214.80234374543198, 215.11872821699743, 217.24938583068376, 218.24051530207839, 224.21093987343554, 225.02368387635212, 225.08749281756815, 225.4293400760701, 226.2409078824009, 226.32191453262936, 226.34624274184179, 227.74338310974403, 229.94389828983063, 230.29077821497151, 230.34786648053318, 230.6158766826251, 231.72989841551438, 232.35450242350757, 233.70404557532271, 236.08797716829375, 237.0801086305905, 238.36868115450085, 238.9892220622996, 239.57675986410021, 242.95331286071192, 243.03991197847157, 243.16686761599956, 243.76584820043331, 246.0371645052719, 246.56804140394479, 247.89390435103238, 248.13102565654245, 248.71595590863333, 249.26317223444596, 252.12284262029809, 253.00687133032284, 253.78272177729954, 256.65370192260286, 257.57697697437163, 260.60295972668359, 260.71173973869219, 261.73699927663881, 262.546811661628, 262.81552043796631, 262.87242516537896, 262.93669075690775, 264.15806504824752, 264.67911398567333, 265.29469242203118, 266.14753752556686, 266.92011892593518, 267.40666007617546, 268.41496836694699, 268.4796650799023, 269.58245115993844, 271.35448277995494, 273.59569913186567, 274.95758222748202, 275.16797953435008, 276.00127060879691, 276.58184195559119, 277.26511038247412, 280.07539142601661, 280.43016446600723, 283.4357923014424, 283.95992070646605, 285.63487702586923, 286.09441413876431, 287.67460662494869, 289.73947640848638, 290.00957539706371, 292.95717590150758, 295.24453331222554, 295.71378722274608, 295.95488896287009, 296.48545393133566, 296.99532319159772, 297.32696423100782, 297.3783926389944, 300.58831120988316, 301.30168919993184, 301.73064438318846, 304.10706698023171, 305.85171575006882, 307.97887948461727, 309.24513627217289, 310.10466132859489, 310.32455357039595, 310.58989174456497, 312.25925364662123, 312.91226565241294, 313.06817779844147, 313.92781147887621, 314.08609179443221, 314.26921518529747, 314.32392238951871, 314.75417563273407, 315.3881013100119, 315.54450647132268, 315.73797427036033, 316.38980032031122, 316.41323903618178, 317.21270954586691, 317.84818327827531, 318.18690087983032, 318.49227198597788, 320.26180843011792, 321.62369267289688, 321.71047974914075, 322.78085104547978, 323.64620341356073, 324.32652196938807, 324.48228258838805, 325.6542121363197, 326.71243042351847, 327.65842336275375, 330.29341595376798, 330.80460115362513, 330.95524235507594, 332.07001166826331, 332.61864475277008, 334.79827928287023, 335.54053664167589, 336.84833795446724, 337.39834578071606, 337.76878956965851, 338.30187989976992, 345.78551426496341, 346.20299461559739, 347.34148324044423, 347.36273610917044, 348.08255619455019, 348.97003893404315, 350.47220791686323, 351.80483350514078, 354.44360601482958, 354.91111084352764, 357.32473050514255, 358.67071850703525, 358.89450564436714, 360.58708557963888, 361.49356083707488, 363.2379721935078, 363.60991517483416, 364.93435100156751, 365.19392611524103, 366.49935594885238, 366.78709010454037, 367.3031150475789, 368.68494250512219, 369.11340115788857, 369.18538718074791, 369.31627058674593, 371.08566558070527, 372.16101433790459, 372.25253722991647, 372.64864433267678, 372.80398298992486, 373.23169723432062, 373.76046341554064, 375.11510828905097, 375.45693542713923, 375.61181904270887, 376.14409951856118, 376.18332109078676, 376.58845927114976, 377.26280913627187, 378.11259518178321, 378.20922317010547, 378.35415825850862, 378.66980131088837, 379.7721578388871, 380.1726959280245, 380.74103594482699, 380.83968264089617, 381.05309545440457, 381.40414615562486, 381.99229000133693, 382.75127961645427, 383.16774106939329, 384.74614616098029, 385.12333684569421, 385.92986433332516, 387.98246123668173, 389.17210167527912, 389.23052667345729, 389.50182291635872, 390.62110884325506, 391.15146638667773, 391.46613318206499, 392.24175372727689, 392.26741636113809, 392.95737105950451, 393.35061088649684, 394.29579894428997, 395.37565032155521, 395.67663137704398, 397.19713402948929, 397.39904055647293, 401.00152681359094, 403.8844809258029, 404.26310714040028, 405.85249853765043, 406.05985183296809, 410.26139206315116, 412.18875331426034, 412.93631556259072, 413.7038453031999, 414.78998597001453, 415.75330194069437, 417.55155769346607, 418.13256410145192, 418.49985054889135, 419.71641407393491, 420.14315664191633, 420.95689404112181, 422.76773918473037, 423.06368293357428, 423.93751453270676, 425.39579584171548, 425.85088168435158, 427.42830299534438, 427.65577923475524, 428.358712683222, 428.58327291884154, 430.493241908127, 431.97319510573988, 432.07596675940511, 432.51783452433233, 433.71581116180403, 436.64389106612623, 437.00754749785847, 438.90190290665851, 439.02002967365638, 439.87086009026655, 441.34016282633701, 441.66777194077616, 442.87348923392778, 443.47699703077399, 446.55880240188009, 447.72220416630813, 448.65641339978333, 451.27463336869801, 452.1878960521862, 453.97861821118767, 454.73209405736048, 455.12215019149085, 456.19260769839622, 456.2496175152844, 459.29863504889215, 459.72317111440816, 460.86059379194842, 460.95977271231681, 462.77717798437305, 463.57497893613237, 464.32003114242025, 464.99105220423843, 466.49410341925449, 466.76818233183343, 467.40585750019198, 467.99624435233841, 468.18675128073761, 469.49764295346057, 470.34670816740476, 470.85534631516686, 471.09518271633107, 471.63950009922888, 472.17282877133977, 472.38037660078294, 472.76651185800176, 473.26651213675717, 473.36706569120213, 474.53351103179517, 477.10293823643394, 479.33866398014868, 480.47637174163134, 481.70604718982577, 481.92129376597399, 482.11166038594337, 482.6749409053715, 484.08021183059196, 484.31712483098329, 489.85676470757556, 489.93225199401206, 491.12148355810507, 492.43090820985049, 493.51552365857657, 496.26934850456308, 496.35322012282592, 501.5468435966302, 501.90639595065005, 502.21942926599769, 502.27608066530689, 502.84307363464728, 504.50145182760593, 505.69091721167837, 505.99451477373083, 506.3270479854728, 507.76495183963232, 508.40727883014159, 509.62503800786141, 510.42449858838444, 510.45726565402924, 511.82190874470541, 512.91564882560147, 513.13807551516607, 514.05819233540922, 515.07738185851076, 515.89796142008947, 517.24940101079369, 518.41267540109038, 518.5503079318795, 522.69542680716677, 522.7730396932609, 523.59170479229999, 524.03827036655036, 525.15895656077987, 525.34410714848161, 526.08736462835736, 526.27012343064087, 527.56885978532637, 528.03381724082749, 528.50013555955945, 528.9965616196298, 529.23450216902654, 530.03369391845092, 530.21834416398008, 531.42233525185657, 531.63009341640156, 532.47797750505288, 532.78845395419671, 535.80722794907717, 535.88423442817975, 538.8414655781271, 539.87856579643449, 541.44072852036436, 542.13046560147302, 543.64984757688717, 543.95007406675893, 544.97367379538673, 545.1905738425296, 545.59875474053456, 547.7838787520883, 548.41859012789359, 550.45447551841198, 551.61852579090612, 552.2192862733209, 552.3484853622125, 552.57124919396745, 554.23166420494681, 555.72615022393973, 556.08261678410474, 556.11588581233161, 556.86256274396624, 557.30305524020207, 557.98874792538174, 559.2461332563048, 559.65998716337367, 560.90620519842025, 562.63910228247482, 562.70598650287081, 562.80641363507891, 563.22190676189848, 563.33838122081681, 564.79821496319573, 565.10805636238376, 565.38056173138341, 571.04146035418114, 571.15200996881345, 571.18216482334935, 573.22366782806432, 573.46212275177788, 574.25308645715381, 576.54424682408091, 577.68793769663091, 578.19087377534595, 580.77047803068126, 580.95060906452863, 582.52692238988789, 582.8181187867699, 583.1317666606792, 583.27709222635178, 583.37131056862415, 583.67039938793766, 583.84296871894594, 588.17822646320246, 588.50470374817758, 588.66861734794168, 588.69439914361135, 589.16687284212082, 590.0416523827156, 590.54184019776142, 592.51256304036679, 593.83268851050059, 594.99540304395316, 597.35061492130956, 597.7625929268653, 598.75833467691723, 598.80900960003169, 599.05934768317729, 599.52130423756012, 601.74032084286819, 601.91939809689859, 602.84515650713683, 603.11904935991015, 603.15805660997944, 605.75724168496617, 606.91853028175024, 607.27786853737155, 608.41428988979396, 608.64502745849268, 612.3733914406663, 614.42019651313308, 615.23598550241456, 615.45338715816604, 615.72579535995487, 617.7439818062312, 618.3389387059799, 619.33840184672681, 619.61129458259666, 620.38574861183383, 620.94956566478061, 621.98060719431999, 623.38041289572891, 623.74941619950857, 625.28110391904556, 625.42725406126249, 627.6399296735608, 627.8087895020974, 629.5691623325672, 629.88863518798496, 630.58508149434647, 631.18615898444352, 631.22855687395338, 631.83347937317205, 632.67549393181321, 633.17038684940519, 633.29721079537501, 635.64838007372202, 639.94361307048678, 640.92679413685983, 641.17662953611352, 642.13062985767419, 642.38306510173686, 643.71654169097303, 643.7468961859613, 645.37485273923915, 645.47343156744967, 646.34440006008788, 646.65155896867759, 647.73740167757796, 648.09856839586655, 650.13838245302736, 652.73614015503597, 654.9074655677714, 656.02551916975187, 657.07355165523347, 657.73683135540364, 657.85603430998606, 658.26915089837905, 658.83270128447828, 659.49619989082964, 659.72350015679547, 659.7586253527129, 660.39217185907557, 661.54039114888985, 661.76229996282541, 661.83087941331746, 663.04549671190114, 665.44916505265815, 665.87098141873514, 666.36078647125908, 667.99010867446952, 669.88719208301836, 670.62900300014689, 671.56065950533139, 671.79274737687456, 671.97283515054926, 675.80736380492237, 676.49067795668623, 677.19009582259105, 677.33386013592406, 678.62853906778776, 678.79000334325076, 679.31151350100924, 679.65717672444953, 681.04078750299925, 681.73373358065624, 682.65483715955634, 683.52014215114991, 683.98626950300468, 687.1424611902255, 689.56625021104264, 689.59507591903787, 690.62457637568195, 690.95411294243092, 691.77600043070242, 692.38799413981292, 693.48293666735833, 694.57301477504905, 699.42743813819777, 700.81580367041715, 702.55220187973816, 703.1890837514502, 704.49601656883044, 706.1306219611804, 706.51252199819658, 707.12804825690534, 708.84308022889388, 709.24941735966922, 709.62776579726631, 711.7308815815577, 713.56695751027041, 714.28746213277759, 716.87962887198603, 718.06176958242168, 718.15148252770484, 721.01954804453112, 723.78852719802785, 724.86110902707253, 725.7829966227564, 725.89843350439048, 726.692747222251, 728.85244109780797, 731.06584361305079, 731.09133639546621, 731.78060100751884, 732.13394713443279, 737.28458860715921, 737.42737761520198, 739.18328827501875, 740.2726017472761, 742.85073343051897, 743.96790244639226, 744.6710996410726, 745.52887716600105, 746.09356434907136, 746.5465424824722, 747.49016308472017, 748.38817235037197, 750.14030423051963, 751.14938779871079, 751.7154120087713, 755.17594742369647, 755.20938799099019, 755.72135972855585, 756.27427738670042, 757.58861316775756, 758.24162084659213, 758.58859048314253, 759.09211120494808, 759.64286308018677, 760.19029043596288, 764.77956169096285, 765.89029984701392, 766.06907066005738, 766.91390237241785, 768.11905940870781, 768.89735168205777, 769.02738635797732, 769.6334516238386, 771.00772081414857, 771.96568890516994, 773.02356131571582, 774.98570254362994, 775.95104427867068, 776.03303649569034, 777.49406955137886, 777.54781487310186, 778.55721309543367, 780.29551713582225, 781.33587837423181, 783.4810225026614, 784.73394934584155, 787.53770239450682, 787.95720406502812, 790.65428053949802, 791.00228948334768, 793.7366849302972, 796.17223497967041, 796.8959387819765, 800.18750127380974, 802.64521176653784, 802.78490539129359, 803.74486675209221, 804.06101050569646, 805.27421791678114, 805.41135274183694, 806.18072706782539, 808.29811115975792, 810.14383810137144, 810.76654370808535, 812.13686413588096, 812.80905598382435, 813.15483418038048, 815.17468208191576, 815.37048425733997, 820.50182140483537, 824.3808755691341, 824.91999633028433, 825.83906762153617, 826.04047624309339, 826.33114719675677, 827.26766016815714, 827.48624146222517, 828.4086097596952, 829.51514824671017, 829.76377724483041, 830.68582638433281, 831.55296845053635, 832.17316184484093, 832.27637689928576, 833.68798464040685, 836.08217762586708, 837.38517424426584, 837.51549634831611, 837.89441927524888, 842.34874423389363, 842.67400903963983, 843.3260780654623, 843.37645998357675, 844.69360374444398, 845.00131025715757, 845.38531469780139, 848.18162243124402, 848.85949725039632, 849.12498513876005, 851.84822291537944, 851.87428646099704, 851.98852560691557, 853.34635457793411, 854.77514525662775, 855.10036271594413, 855.56618436977226, 856.5116692270559, 859.55969758165622, 861.78276753345824, 861.84760913406421, 861.98689996385622, 862.01730805385409, 862.18399035388518, 863.68165067714233, 863.85949589191114, 864.8961195682208, 865.34612333243081, 866.71280427961392, 868.35270804005188, 868.63248799228973, 869.10771213939017, 870.58081858330081, 871.24121789065225, 871.9575791730781, 872.04913583352766, 872.58424547776553, 873.19538314153192, 874.59792294977922, 875.69630817687653, 875.7592951471529, 875.89667327704433, 876.23222569612381, 876.78027959897975, 878.61923737351503, 879.06358174121044, 880.97938903806096, 881.14308390038718, 881.50965124490756, 882.49648328353044, 883.0704734935855, 883.8742296594495, 884.16208501466053, 885.51902441885522, 885.55563749716111, 886.51200165536375, 889.46520502471503, 889.93812738171368, 890.24796482706347, 891.91716141294523, 893.39222325112905, 893.51402091157593, 896.96813073905957, 898.92955959245273, 899.42002200990532, 899.46492197942621, 899.52479610814862, 899.67547312443423, 901.21937170707497, 903.70928315133744, 907.72283537236501, 910.02157857681721, 910.16122219223564, 910.66946377606223, 910.73161510763521, 911.97655062381591, 914.47119396487051, 914.60231052481288, 914.78560673450716, 914.91794217530355, 915.81298166861313, 916.70937211328942, 918.58598244874224, 920.32879723579902, 923.59781231095269, 926.46786368116545, 926.74406608326706, 927.62117491430433, 928.17007074149399, 928.49221068713337, 928.81440673043039, 930.86951159073772, 931.78160846882179, 933.25517961394644, 933.93456250389715, 934.3340249257817, 936.3867178686188, 936.8388966434012, 939.48686659939176, 942.2773126764755, 943.03514811639343, 943.45278148810598, 944.47559004524965, 945.66912520465223, 945.87236946617179, 949.94572178969361, 950.21295701419012, 951.72340818943428, 955.34515252419726, 955.6920323394188, 956.29062269247265, 956.44373443206837, 957.37542410785147, 958.94377128044221, 959.03058657180065, 959.15381961233243, 959.87816252264065, 959.91134491612377, 961.62603677854463, 964.38364982624216, 966.32350954260482, 966.93522331071495, 967.14552508218469, 969.49966229364077, 969.8330478392744, 970.87145794532228, 973.40859259083834, 974.56223104440187, 978.90503363374603, 979.23830018292017, 980.88330496268065, 982.16627119851444, 983.46552314521, 983.48775543708064, 984.22978591930587, 986.70418233685359, 986.754700482864, 987.25004076806829, 987.37861942063387, 987.60483445772036, 987.81709219331481, 987.94434265946211, 988.1223619684547, 988.25092434130875, 988.53235524892921, 989.24883394218546, 990.59835691813055, 990.98084577691793, 991.61971744476102, 991.81729299100459, 994.28339063972589, 996.71557184722485, 996.87912532826647, 998.5086531679467, 999.00916443156541, 1001.9526022298616]),array([3.5859828719569498, 5.418424758488225, 6.8371233654188552, 7.8383776018781957, 9.8316310771712914, 9.8548632328320487, 9.9053101776129004, 9.9424383124552342, 10.678392118660851, 10.803029916449555, 14.926553776903681, 16.430960338502345, 16.992125822003221, 19.887851922940182, 21.995242396698071, 24.961413785442954, 26.296734482744103, 26.439152005016986, 27.765199951458474, 29.010549476138241, 29.666153153371667, 30.551452580409897, 32.448987472360372, 32.760141501806849, 34.965437261497151, 34.996586886205797, 36.904420003767719, 38.604596422966843, 39.10685853875647, 39.548050492906135, 41.231920362647458, 41.721074165016965, 41.883423522487213, 42.090221734175074, 43.638360988441008, 44.170548044485059, 44.516122942817489, 45.602511293269792, 46.529072924609466, 47.263708486805584, 47.78915120052708, 48.615186028287461, 49.305470138595446, 49.384732505884593, 53.578824007630367, 53.61277424020777, 54.843445671005725, 54.923969055395467, 55.546409570089573, 56.169998555046284, 56.961067907739199, 57.136532995989917, 58.397930484507746, 58.814256570714868, 59.384403368383893, 59.619477951182127, 61.838676941962476, 63.191651664471202, 64.420544496431461, 65.150087884733281, 66.25719463600602, 66.44537497172746, 66.698292679850752, 66.866646386297617, 67.679254966023692, 69.974733468472976, 70.187121594774922, 71.789593129637126, 74.067647489089168, 75.256422252963318, 75.318892881834373, 77.849022513414965, 79.494002605446141, 79.894960341784881, 81.629601128732716, 82.068086548589832, 84.356690142105251, 85.171884517136576, 89.038898077279612, 90.736060577787299, 90.779026403261412, 91.990227173143751, 93.422198986427546, 93.505528380367835, 94.181312607807513, 96.796306367062755, 98.483140518999278, 99.44546690071337, 99.913260179105706, 102.94252807502149, 103.05883157352679, 103.52929874869255, 103.92444200958242, 104.42035676876536, 108.32901425352085, 108.9333277013601, 109.48102721728723, 109.7772879742582, 111.50723933579872, 112.15926429329762, 114.84203326319579, 116.1066186999966, 116.36048408668061, 116.88353242443057, 118.08820116300963, 119.04565364263622, 119.58580091377374, 120.72248660914975, 122.65322476398337, 122.68998472307167, 123.73915597577819, 124.22612297494945, 124.94602386842965, 125.64013826527272, 126.02492402623257, 126.38822258937641, 126.85155075632527, 131.67616561215172, 132.14555939293624, 132.80711270454623, 134.86148259243791, 134.8831057424344, 135.16877302550654, 135.94495930013187, 136.11820950219737, 137.76117451107888, 137.92925619863863, 138.0286539316505, 138.21466428420024, 139.50670385043861, 139.69060719383279, 141.13884426876683, 141.46199767127698, 142.05960789362942, 143.82257858671903, 144.00634652737853, 145.08881923356356, 145.32429691059781, 145.91811866717754, 146.12350360301568, 147.48948819048923, 148.08893228817834, 148.53454947921989, 148.94204763819408, 149.6430317861666, 150.48587763439551, 150.84941556815573, 152.47375335109228, 153.64629166563356, 153.69674818225062, 153.80937335947291, 154.29514961172868, 155.1721603928417, 155.47118165692447, 155.58437910741139, 157.90357799726451, 159.10106938752077, 159.44157027796132, 162.84844669625633, 163.28334262400389, 165.15487620651407, 165.31881283774521, 165.4487354716519, 165.66851738943953, 165.95660913271593, 166.56052330334285, 166.59134651904012, 168.89542238112503, 169.23054279560861, 169.94137328933638, 170.90208626048391, 170.93792774012817, 172.40307910887597, 173.1705635851103, 173.47155008687946, 174.09456181797989, 174.41184962233552, 175.25268348288543, 176.2393758348291, 176.3242356286847, 177.64963418071611, 178.42311776381439, 178.57171521274611, 178.61841752072274, 178.68380646301097, 178.73982393458519, 178.93885431167126, 180.78363682965562, 180.96500258869705, 182.84868716389792, 183.00777022905299, 183.30903001995421, 184.04524072366462, 184.22749683777971, 185.11139721499643, 186.63997454448938, 187.65993232532736, 187.69644658046477, 189.82533800747663, 190.95630839722821, 193.13521164446843, 194.19303678823206, 196.84063182671392, 197.81057383095668, 198.75475627423333, 198.97219397225177, 199.47530875453342, 199.63928366412105, 200.62692611109665, 202.50889094868668, 203.04024258435203, 203.27045188468315, 205.2145116437803, 205.67079328722974, 208.20760854000309, 212.94594216312836, 213.54575781088269, 215.89140931549539, 216.33385248753964, 216.66778994249739, 217.72896193836525, 218.33995314095222, 219.40956329708439, 219.62204589060192, 220.6937574747293, 220.73817113001274, 221.49118321357108, 221.79085337038231, 223.99491644706691, 224.2916313063952, 224.87994799301845, 225.21702847325795, 225.80346339407257, 226.09724502055286, 226.50155366721125, 226.97401293518283, 227.92983872926285, 228.67911035963252, 229.77945248569176, 231.46881570479138, 232.24810105869676, 234.23395984774598, 234.95244617534746, 235.95816340561814, 237.73317350913061, 238.1071664552961, 239.06344797087962, 240.1122645258302, 241.28937254889064, 241.84261657700048, 242.20814101321199, 243.92888587933297, 244.46364177275572, 245.41541084123736, 246.25490003642403, 246.51645875424319, 247.2155211082989, 247.58647647295024, 249.38850337546069, 250.56601982147504, 252.44487794543329, 252.68610818099322, 253.46181969521518, 255.19503283048169, 255.328441654903, 255.74291560066692, 256.39788706509273, 256.64405593242731, 257.58539476936971, 262.40483101256422, 263.83812178140562, 265.28224523352748, 265.57478525681944, 266.75136611239708, 267.16947082542026, 267.93889162285222, 268.4333887038714, 268.5992113956242, 269.24408202690978, 269.29772587530823, 270.81144621135775, 271.77741888359373, 276.03711815086535, 276.23820467290875, 278.14569832272497, 280.43497714792613, 282.51233050212136, 283.67032196160903, 285.91485500308647, 286.15500367312796, 286.64544826562957, 287.27514335303499, 287.54975030480153, 287.99511707350166, 289.82344181440845, 290.20266504894943, 291.72713530871579, 292.96894638991517, 293.14719124213298, 293.59334012504405, 293.87136097651842, 294.29172317294149, 294.5479212563551, 294.89043123606746, 295.36181266806193, 297.94966956166866, 298.60042855102461, 299.00005621065958, 299.39656086778962, 299.96806943836054, 300.48022285936912, 300.73358654286511, 301.47803491921889, 304.60311044417108, 305.15784199447188, 305.65879655887932, 305.87708728434342, 309.63061186077692, 310.00056886698383, 310.72224692686467, 310.90074828074626, 312.18274218558014, 312.43196346691315, 313.43296760243175, 314.62328319563073, 316.7221655194727, 317.501724994901, 317.96064434681921, 320.8298440546169, 321.03961599105276, 321.50715073453745, 324.21224953081969, 326.31441232993177, 327.01142281806494, 327.09431339731708, 327.2911843433514, 330.05306091480765, 330.50323986365851, 331.26381468189743, 332.21063801583233, 333.82198384194697, 333.90237270661532, 337.36250049133497, 337.70363992929276, 339.22742192528398, 339.27901169678375, 344.39946441893846, 349.35936445370589, 350.4001440614511, 350.79910558575551, 351.72051653029087, 354.33564023439078, 355.32856113619863, 356.87892035047815, 357.33078177165601, 361.42020476411142, 362.54982988828414, 363.82195306214004, 366.93874682512654, 367.0146656884819, 367.06040483981013, 367.76687908601599, 367.80379939427144, 369.53160723138132, 369.61372766120041, 369.68139171382398, 370.25160828368723, 371.36975663588919, 371.52376887450964, 376.50496497824446, 377.40933862152463, 378.18366045000965, 378.55437103217332, 378.77824016309006, 380.47564171767675, 381.9649548544711, 382.2424076009317, 383.56261328888144, 383.68446168423253, 383.84242484114219, 384.01826655744424, 384.34419662711906, 385.261191162194, 388.0590581775661, 388.32107788546995, 389.11634727855767, 389.2296878608218, 389.40606115790172, 389.51007669267017, 390.56957760994396, 392.03111547292917, 393.43368025870177, 393.8812735822068, 394.60006931313234, 396.13990674735231, 399.84192244400333, 399.96813087057819, 401.46603688262144, 402.14744717770645, 406.0452413037055, 406.64751041785956, 406.7796153002061, 407.107937259209, 408.24389581890551, 409.77374175982186, 409.83965251183918, 412.80366760475857, 414.08048222091497, 414.18500803825305, 415.6913296834116, 415.89379763634832, 416.8054912884993, 417.4118856017418, 417.64745851993354, 418.39961191969508, 419.77978809185242, 420.03264070265226, 421.36013715833246, 422.16556499798043, 422.99753325308313, 423.26445373869365, 423.77326226945809, 424.06398317418802, 425.25141400566167, 426.53383002632285, 426.86490053759394, 428.19400108039866, 429.77518513609635, 430.3561570289819, 431.11110690010565, 431.31140578406655, 431.36325459843101, 432.21883866517453, 432.41353617193886, 434.42511599618109, 434.48043220769461, 434.54177470163609, 436.47296888914985, 436.93839028123404, 439.17991973115409, 439.85393837518416, 440.15866062498731, 440.80038283624344, 441.64754550437493, 442.14925069727411, 442.39960719494286, 442.71233728890871, 443.42664872847712, 443.64999753510517, 444.05010731011259, 445.45717998942393, 447.5356987760631, 448.90461058640079, 449.53943325497397, 452.03300801874991, 452.07871425379443, 453.89756268119322, 455.58007094475255, 455.67919848922628, 457.63345233319041, 457.72039568276097, 458.46655736091054, 460.12555402831902, 462.64937241798094, 464.94559470785856, 465.47751337298041, 466.18759334096376, 467.7330760744162, 467.93900441094803, 468.54542690531309, 468.59744839660584, 468.77244128685993, 469.20489836774522, 470.04546653815095, 471.34426790944428, 472.74281117311853, 473.39062136985814, 475.41923551791768, 475.55812831299096, 476.43899431510067, 476.5802520778816, 477.18119457391248, 477.44056627704748, 479.0060131165356, 481.83473608090759, 481.9370168621644, 484.79158630679564, 488.29665812518141, 488.36458626371882, 489.73122186750629, 490.140536673425, 491.33278857713594, 492.58391951154852, 493.00606672081659, 493.81658137220194, 493.97994819769082, 494.02332331547223, 495.65192590016034, 496.37779809033208, 497.16345831802664, 498.89210935049448, 500.89539857533765, 501.51965473743252, 502.29522201499759, 503.76396598513367, 505.45246289678443, 507.061933216483, 507.38354338454837, 507.74207921736843, 509.17974455634157, 510.02570114777859, 510.36184901917227, 511.15387981604823, 513.19914061667589, 515.40045385278461, 515.60188357436846, 517.48491593146821, 517.5099490635348, 519.29658415447739, 520.6766489358173, 521.25503997155738, 521.4063514967512, 527.61789789656314, 529.96254636705748, 531.09463988026278, 532.87246305810118, 533.677859523405, 534.45515050318784, 535.80591880051088, 539.08793641244745, 539.12905856946895, 539.83003718491989, 541.41900592399838, 542.17089344521798, 544.04963641171616, 544.592223180573, 544.86752178686606, 545.46597318323984, 546.25752619641889, 546.88669574571088, 547.19546489432616, 547.34485321608133, 550.74395500731976, 551.31331845100897, 552.76929005805584, 554.45118223525094, 555.30395852363256, 556.12917585975254, 556.22649040739043, 557.22621636165138, 557.3822905534887, 557.86325338206416, 559.18727979567245, 559.4126274114908, 560.6513353479379, 561.26897092138222, 561.47168021847892, 564.52145055575431, 566.80207858460062, 569.73024597484346, 570.8826763316888, 573.02498031112111, 574.07488041556348, 575.49529557568394, 575.68312276708878, 576.43867054612724, 576.64482995704486, 578.83259953872255, 580.18211446932617, 580.43118776945835, 581.16702226973575, 583.53302588660085, 583.85466503621672, 586.60849939915363, 587.44083400723036, 588.23078461822263, 589.78276462139581, 589.87845245427752, 590.20621403730797, 591.12301320609095, 592.48693020789847, 595.23984115730286, 595.70073145623883, 595.91920699841717, 596.2970201574509, 596.77455793178012, 597.15596517809081, 598.08372534282807, 598.51973923094113, 598.73868740407192, 602.75218215569635, 604.18768748796265, 606.51447462155704, 607.01945376012509, 607.18271959311801, 607.80916113165461, 608.71543607861088, 608.79342911050855, 609.30705345186618, 610.17735466884244, 610.53346106199194, 611.01141323130526, 611.70388724498423, 613.66182679260987, 613.91754649161658, 615.06820029635867, 615.65787025405791, 615.70948094488995, 616.55921732013769, 619.93099642940797, 620.67328345611986, 624.55535888284021, 624.81317612893599, 626.31833100199992, 628.02638579955328, 629.85204008997459, 630.10796734375981, 630.402245429652, 631.29868746306681, 632.04914887297525, 632.81300464225512, 633.25248531628495, 635.57619507326274, 638.56176609908664, 641.19459862146641, 643.77005148204319, 645.3969721234065, 646.27781683748901, 647.40570051090538, 647.8936652617092, 647.94706354882248, 648.57466490513707, 650.06497624423184, 651.93202730801806, 652.08937189085725, 652.53806449410411, 652.90003464652966, 655.09584689687517, 656.17985027748875, 656.28448274202367, 656.51722809752573, 657.57579458084933, 658.17411097035131, 658.59905552234648, 658.82841635536988, 659.06757225524825, 660.18925605946276, 661.64664673031416, 661.71572908520477, 663.33053503276972, 663.9877710073257, 665.35703787736963, 667.95527784665853, 668.42977155079393, 669.26546863433725, 669.64666425084476, 670.28627150599164, 670.39261201506372, 673.8028615163912, 673.99719487540972, 674.38143409291649, 675.93177154087164, 676.03808264015004, 676.96324010889862, 678.45084829977839, 679.18146013179637, 679.39500759933549, 680.13982392914113, 680.39034706595135, 681.03371182578167, 682.36884156793371, 682.84722745998829, 682.98543485665414, 685.41941912400193, 685.85570581722857, 686.2357220054912, 686.55908984681935, 687.327422320972, 687.3807793313008, 688.91713427080992, 689.6782634506377, 690.08097571657186, 691.8034336104455, 693.84247788289133, 694.10320797613042, 697.56362089302502, 697.63737240355931, 698.5396221507832, 700.10942398140151, 701.85634241596063, 702.76224543185401, 703.06463052142897, 703.35840843525716, 704.31670206818796, 704.55245802428533, 705.03820074180737, 707.28766853512786, 708.37657309029214, 708.83261093771534, 709.30613458824041, 709.50449484517549, 709.88910061325601, 710.88786720437906, 712.0014327295354, 712.15121421318247, 714.18913390734031, 715.40195762899828, 716.13692988483092, 716.37805081587123, 717.62151945985534, 721.09488746997056, 721.35881654544016, 722.65692975936474, 722.79448547121308, 724.04362893727489, 724.40533629260699, 725.11663831650583, 727.80585274654482, 728.74764624887428, 729.75231251169134, 730.65731505253848, 732.27317070276331, 732.41386415003001, 733.2798757208792, 733.44713204072502, 734.54263997329519, 736.26963648335493, 736.42454518487591, 736.51477148038703, 736.72121322939427, 737.07407342862666, 738.19260622428737, 741.07203127896139, 741.59433225186467, 742.07886855623178, 743.15338270730047, 743.32537396668999, 745.30381409661038, 745.77289575989425, 746.11808280514049, 746.19212439982766, 746.64580588025137, 746.84007005899218, 747.31397063824318, 747.49712807207845, 747.85731746377144, 749.19678644994053, 749.23596812527364, 749.97891738487795, 751.04585382059884, 751.89806496845961, 752.36561022753472, 753.18552736295533, 754.47594674470918, 754.71246531490692, 756.33162823209602, 757.05156237695201, 759.82161032399415, 760.07547606094488, 760.46984463487661, 760.60467160773601, 762.47780058768649, 762.74827327946764, 766.63214857657488, 766.82206461550732, 767.36965354945971, 767.51413855341605, 768.11175470634839, 770.10440465657234, 771.33660204244927, 771.4375894444612, 772.45080080246271, 774.80465582337752, 775.64679693102039, 776.06149798283877, 777.42351580126626, 779.33897237555857, 779.82582393229302, 780.07656361190664, 781.13593896387897, 781.80776230972867, 784.42596025026489, 786.13568171976442, 786.51678090030691, 787.14568604687895, 787.64402217822669, 788.35685101565298, 789.00519157003464, 793.24557996881867, 793.52436338106247, 794.41495393610376, 795.04617116310556, 795.1262968123749, 799.33478476678636, 799.91285729024924, 800.74849448351051, 801.89195570094478, 802.04324161745762, 802.53208125240394, 802.64381825297824, 803.55320502842949, 804.51787677615982, 807.31091399854063, 807.55056084265379, 810.02425153022136, 812.51646361039832, 812.98991461533546, 813.0838924982196, 813.82776845226749, 815.89916613535843, 818.16580302369766, 818.48601034380385, 821.94218880270705, 823.30757262756276, 824.07177165571466, 824.75547555668879, 824.9700789005143, 826.95363874520126, 827.12477990985496, 827.37630413689078, 829.32535841243214, 830.48562204946336, 831.30643294051299, 833.35364915454602, 833.98645517910563, 834.88123434511465, 836.25796880655366, 838.01778542425404, 840.33613621420284, 840.50495304663036, 840.82592893082551, 841.13972183045939, 844.94166382197886, 846.15742098438648, 846.43878379347279, 847.99086537323865, 849.72658070252021, 851.80120993180742, 853.08855749566499, 853.76937931791667, 854.21798165626171, 854.49123933615806, 855.24999179830934, 855.85435163507077, 856.14829807959393, 856.85097258818757, 856.94263889400281, 857.53187972003002, 857.6756573501109, 858.4556675787087, 858.85528160180297, 859.13867395322109, 859.33546398138049, 862.9380658522773, 863.01055655098435, 866.24113771468546, 867.0119511009085, 867.18288690710756, 867.28578560817141, 872.79503687771842, 873.91456220972623, 874.80722554298006, 876.49846227485898, 877.7747847291763, 878.36777306920055, 878.66296562811408, 879.65380720176756, 880.2903729910131, 881.0782074789214, 882.02060683616151, 882.74906789491547, 883.14438690842746, 883.52205314611695, 884.34391756489754, 885.41899277529558, 885.79524755722207, 886.39897738269656, 887.35256004608209, 888.15078585208528, 888.65453454741817, 891.31476779456364, 891.92571547492685, 892.29133887124567, 893.45394477655179, 894.89512335842585, 897.22909100902302, 898.37377390753647, 899.0887280286089, 899.88930217972313, 900.31115349287791, 900.58582709774987, 901.22511067611106, 902.68598433171508, 903.95885885368523, 904.22587652045365, 904.49881193141607, 904.93946757764434, 905.72985254310299, 906.0465969979839, 906.0721006645897, 906.87246331040637, 908.41091888097867, 908.48745805868657, 910.56749588463731, 916.45273594133687, 917.24522786768637, 917.36562969004831, 918.01008600629541, 918.54411415466154, 921.67380270978413, 923.22149267204486, 924.99635833300306, 928.28416694714599, 928.76363483075977, 929.4438707390334, 929.63089082691693, 930.00106992004737, 930.35563288091782, 931.91509453495462, 932.88713602268524, 933.82795016757234, 936.10123151171558, 938.46639364862244, 939.93765543234906, 942.11141259550823, 943.06469381938348, 943.49660681048465, 945.37063077539926, 947.02546847681253, 949.06737134114053, 949.70847772969512, 949.74133134582917, 950.29030241374005, 950.84785657561588, 953.05577616731466, 955.09756305229064, 955.75817140841889, 956.13659304181044, 956.56528681588497, 956.76526038569273, 958.8588287163484, 958.90342888143527, 959.6128405363927, 960.04707251710499, 960.48176351222548, 962.29222109373359, 962.6179816214003, 962.78087403679854, 962.94148928423624, 962.99124329072947, 963.05334533298787, 963.33809052216861, 965.32307977865355, 965.59152571333755, 967.00965242084374, 967.87910396206144, 968.36637078778108, 970.75364729129888, 970.98644040574754, 972.07741282455572, 972.73065376650288, 973.97454355090827, 974.30579481466066, 974.62609331445924, 975.18018772773723, 976.70641593930577, 979.17941767145021, 980.51733780393647, 982.25126128553552, 983.49513830422529, 986.77549512327062, 991.44818349768082, 992.27498233649476, 993.18429665956626, 994.3687047096048, 994.5278778036394, 995.42669580869676, 995.87468379408233, 996.98590622399206, 997.03436584478368, 997.65493575497442, 997.84301763683629, 1000.8483552940957]),array([71.363119870407772, 71.618027685460888, 71.779978150672378, 72.754823580777753, 72.92392159174679, 73.418401126988996, 74.313388327987326, 74.986336151614282, 76.223762119814182, 77.649904813072695, 77.961841697132471, 79.887065740805838, 80.120520042621777, 80.57204913889727, 80.719398076826096, 82.578554461131461, 83.168274162233672, 83.332261496656997, 84.593741390577975, 85.116981712188277, 85.368355649007754, 86.468064747835967, 88.659015224818035, 89.055064013527641, 90.236842380220381, 98.39552307350769, 99.762717030827218, 101.09686509503624, 102.10647255601704, 103.02310493016783, 103.04402520924675, 104.48258157953606, 105.34623789712032, 106.27586319333948, 106.36567508899979, 109.03224565565961, 110.28902517691387, 110.47866874622309, 112.55988111624069, 113.5253345103327, 113.91002820464192, 114.78759397820102, 116.63163224187579, 116.73606806992569, 118.08085996354687, 118.83692391821278, 119.50853151442314, 120.78960952219785, 120.99077593538046, 122.18614496304525, 122.35888461719316, 122.54968205207382, 124.15245066080193, 124.34693813374585, 125.28052266279192, 125.37879854980561, 126.92207053049869, 127.1605463546185, 128.50486831517597, 129.51926068633662, 131.71040906715643, 131.74204296693708, 132.44364013815766, 133.15174394967218, 133.64738567589103, 134.26342234444746, 134.42344613523397, 136.27323075706562, 138.52810944685996, 139.96111745350137, 140.48049525794679, 140.67348059693782, 140.79074593429152, 140.87075727646757, 141.59672159997368, 143.28862271974131, 144.10040595155155, 144.69187676551678, 146.06887893213258, 147.23672741566102, 148.99609087613027, 149.11368041083054, 149.3037124028431, 150.05015873776838, 152.05275057000273, 154.01255831041524, 154.44972895804841, 155.39042829288664, 155.61488083953353, 155.86795303143077, 157.95678957678439, 158.31355343691826, 159.71635757269758, 160.08962221469375, 160.3832598633455, 160.93516723396851, 162.11502562140939, 162.94828690605144, 163.66505565407726, 165.70324171959768, 165.95582732972929, 166.34235271931223, 169.12528283443626, 171.91898816981981, 172.12020527042409, 172.19180365457603, 172.89486921121534, 172.95305210540144, 173.02542330480748, 173.07074561931029, 174.4999769544639, 174.87934229498597, 175.33288330269013, 175.9258944461144, 176.60105232824142, 177.28046843193405, 177.83146660006793, 178.00924790488253, 178.06783503759735, 180.18874397651285, 180.54688693279707, 181.08729127080673, 181.6867296237485, 181.73560604273885, 182.86334093064787, 185.5145975079289, 185.60145447114581, 187.00316689794488, 188.39746582630576, 190.12946218543723, 193.575102653112, 193.62206084461386, 193.89713172900591, 194.1555684814648, 194.28458146545023, 197.15513187675896, 198.5044740269793, 200.26825605851704, 201.44545183196726, 202.25028554883019, 202.65865476836132, 204.14630307880381, 208.59474435919094, 209.08454090617943, 209.13988050388562, 213.47376961346566, 214.14351083916139, 214.42173807295694, 215.7265254847627, 216.1657152231883, 216.82608945388347, 218.51692415353034, 218.82917900849287, 219.95275924947367, 220.06941899210426, 220.81842261156828, 221.13394345338125, 224.92424004258226, 226.95419183352692, 227.22609610370029, 228.22184632825815, 229.52891540249888, 229.55206417069672, 230.54515477099949, 230.62947249484631, 230.79791145689845, 230.82940296749717, 232.1316083767521, 233.94439387188277, 234.25793792938617, 234.67842042322323, 235.00491175200855, 236.10156965404764, 236.19047335595226, 237.43710708656442, 238.34548672290069, 239.09432792028707, 239.51692083296697, 241.12666073463362, 242.46284528054483, 242.55592996068046, 252.91309419331012, 255.07665494245632, 256.68540585864395, 257.89265089797959, 258.86054500730017, 259.64010488794901, 259.69410619084005, 260.15208019842197, 261.37047966441042, 262.29868442424134, 262.63953895560832, 263.14079153135378, 265.46612254847565, 266.52025967504494, 268.89165034984336, 270.24855402916376, 270.28536310196301, 270.38053669454149, 273.86908727785715, 274.34526921945064, 274.51715566066571, 277.75113191151331, 278.12978191485951, 278.43491665899018, 278.77367477306547, 279.62324855465829, 280.21932965109272, 281.68816352821347, 283.40690219106085, 283.77013515374369, 284.30237936178014, 286.22263626763242, 286.80786894430292, 287.6273053707709, 288.41793914049742, 290.11968060171523, 290.18083471898137, 291.53391576048625, 292.03145868930443, 292.91800688971324, 293.44194881106381, 294.13555899115096, 298.23143127937732, 299.07079865985332, 300.01205220707863, 300.58082262694876, 300.93333012116585, 301.44325559543591, 302.83424149216813, 305.95970900327899, 306.43886505034817, 306.61041798535246, 307.59545345112087, 310.43499441116751, 310.65242928925767, 310.80249024380583, 310.99105930320491, 312.5500963615321, 321.40435937470858, 322.61358118115078, 325.90511932748899, 326.37020330269559, 326.42295193361093, 328.90517376189513, 329.86785094823892, 330.90966491225322, 331.67367736434477, 332.49723098551607, 333.05895843683822, 333.50366156394176, 334.00926901885123, 334.76468529355168, 337.7337211098569, 338.28790032932142, 338.79709583772757, 338.9327840485148, 339.1217058749516, 339.72021888919346, 340.28669484455531, 340.5130982162712, 340.55956014007705, 340.79761866490605, 341.5805705803333, 341.83478784086157, 342.07568059456867, 342.57877128132435, 344.67135091985148, 346.03771148890792, 346.52827884963517, 346.63841191264027, 347.79666074521498, 348.15795726788667, 349.00911559467863, 349.79368647815693, 350.81992343333314, 351.4814612396645, 351.56847574962643, 356.13891311849824, 358.78861159836981, 358.90814707126759, 362.71322625142807, 363.00580042845854, 363.96861329472347, 365.03273308454357, 365.88005615167577, 366.31891149505827, 367.95977781663623, 368.33247159465213, 368.48696628675123, 368.75464402339787, 370.35125544378178, 370.65749124278528, 370.91186167733639, 371.44811090857576, 372.53761574310482, 373.40141134732517, 375.67358833335049, 376.8687084371594, 376.89805921159655, 377.02385106046478, 377.15363320055855, 377.89960501085295, 378.99794163520141, 381.02684976117882, 381.70422973744246, 383.75632992970617, 384.80141976355014, 385.24614936669104, 385.57363539285939, 387.19398418483337, 388.48700937104854, 390.55826776766639, 391.59273925465925, 391.62353816365317, 392.85650903749615, 393.66401607114818, 394.23523338458494, 394.98364785616172, 396.53952030720461, 396.87638505564632, 399.76893787840197, 403.6890927483484, 404.19857936967571, 404.51832565951634, 404.61744768923035, 404.72428896800903, 404.86548672604243, 406.50408293569615, 406.69053282464677, 407.39428860556154, 407.60355731633803, 408.32375432965944, 408.34626454658007, 408.83671944759902, 409.4755697047882, 409.87613126096261, 410.06136389972255, 412.02006070923483, 412.60443864218337, 412.99080385276858, 414.164205982157, 414.3694833348514, 414.43905777470735, 415.68030519997063, 416.11570762813238, 417.81092821366485, 418.90863050963389, 420.97573455605936, 422.17050801517024, 422.30266254973435, 424.0840114991567, 426.34506325511313, 426.53559268190486, 429.39127979947273, 429.6418419605742, 429.7732755764456, 433.44422017307761, 435.98906326949026, 436.58212609822442, 437.0842545033608, 438.02934332589945, 439.25770672557496, 439.48160317054288, 440.97327662065146, 441.80317052455916, 446.27019059552651, 447.14143685605313, 449.182289298765, 450.19798961780549, 451.54170197103792, 453.68249330055846, 454.57623934060632, 458.03467821459623, 458.23495416411822, 458.72183179970256, 463.482214620771, 464.37566252793948, 465.17588652398302, 467.39104856557975, 467.68427888814944, 468.05465707724909, 468.75581532016736, 468.88958170328527, 471.33325038536708, 471.75031489160853, 472.11808946968216, 472.22205837772907, 473.07056325404307, 473.60541209331632, 474.59915182712831, 475.32646176955996, 478.71770272682522, 478.91394429453698, 481.06395568362342, 481.88508604685927, 482.08726665336769, 482.77655808098575, 484.94095411708167, 485.03543205184155, 485.56730164189247, 485.94457432131065, 486.13477310466141, 486.76337961783941, 487.6177236274047, 488.11488853294134, 488.30200882828376, 489.9396291785647, 492.53184067850106, 493.81875368508491, 494.91661297658726, 495.27920331922877, 495.94925480676886, 497.25687109539217, 499.75751912892827, 500.28797467304372, 503.66243272296634, 503.76876306026128, 504.10845651672645, 504.37878232102349, 504.83154373587632, 507.9427548949792, 508.01257341678428, 509.23561058543606, 510.17235372071747, 510.62670746154794, 512.92849290342963, 514.06848138551334, 514.0905120800652, 514.43529577635036, 515.59541985978672, 516.13435242627543, 517.49852373047611, 517.73080117798168, 518.871690977615, 519.44965900574437, 520.649169651492, 521.70580293723754, 522.08979837076004, 523.04101818545951, 524.12667481466417, 524.54847221247178, 524.96853729595875, 525.64038585397702, 525.8842336776645, 527.89953789613571, 528.53949812330211, 529.06197699679558, 529.62620269655724, 531.35172569433098, 531.39116546769378, 533.63087212483333, 536.11048131893483, 537.23455715363878, 539.24919694111031, 539.46924933159778, 539.6281878084136, 542.35821686905297, 544.9790990544941, 545.27726824998615, 546.26393380773959, 546.40521024226507, 546.50920371668985, 547.1229662828232, 547.76804853225042, 548.24558591654284, 548.28802004691374, 551.16118268983985, 551.32983573389959, 551.47398486832594, 551.75972544781678, 552.25847823278229, 553.5262497180521, 553.8827705164739, 554.91689373699626, 555.96996916171702, 556.67916304772507, 557.44166751713522, 558.1264300677135, 560.6771322008077, 562.56705951072718, 564.14034478739916, 564.82175580200521, 564.87792402778882, 565.22261644134755, 565.25968860650539, 565.45641714638532, 566.24652062635903, 567.45630344744927, 567.80934125620252, 569.2581743068481, 569.58113128007017, 570.52692350788504, 572.5437777667147, 573.11647965972031, 573.76102467473333, 576.23420868212543, 576.48833468195562, 576.7423650954629, 578.44757674623008, 578.61979705234728, 578.99011978936255, 582.33424871610691, 582.89651741517901, 583.9712502161068, 586.03356890856151, 586.56697496376717, 586.65234047524223, 587.24144390488277, 587.52048488679316, 589.03562730802662, 589.29797574852864, 589.32367843351119, 590.53429488217444, 591.8839812756313, 593.43627138263719, 593.5437682508981, 594.10043555313848, 594.9533387555889, 595.54873274748525, 595.73839024406948, 596.03446291722719, 596.21062192068268, 597.27867562790379, 597.58432212170578, 599.16650121079897, 599.76371418797578, 599.94222433867719, 601.70512650630019, 602.73203864663299, 603.67164587921729, 605.34123024269559, 606.04480057333194, 608.15942461586633, 609.42378926142101, 609.63570145215203, 610.71675904768688, 612.02996962142606, 614.10384854127324, 615.81900635816214, 617.87707894507048, 617.94779913703576, 618.10767985230927, 620.28501776943347, 621.36499397163959, 624.43919455726495, 625.7976098632588, 626.1711509477077, 626.22803596978122, 626.92314609442212, 633.41235988381129, 633.95215491008946, 634.30768504215496, 636.8980374321776, 637.40368599378894, 637.70164935834487, 638.12160555560683, 639.95891597799653, 640.21065823015988, 640.26065520093289, 641.00698465867799, 643.18237321922811, 643.43150981236363, 643.58826989707416, 644.6639308898915, 648.60414172838136, 651.42237762214302, 652.00498739001353, 653.54316892311215, 654.21767878889568, 654.321949772214, 655.12739719277238, 656.60786033599379, 657.12388698269069, 659.71690466751375, 660.97082275698995, 663.48772995752472, 664.98762043163777, 665.3957993107706, 665.75505167868528, 666.26944402996151, 666.48356673567491, 669.57054123093008, 672.6543302554353, 673.99391006838482, 675.75970365439673, 676.52145421408989, 676.80762073210553, 677.45947470824763, 678.98515203909051, 682.10058795339773, 686.252825985306, 686.73695202333522, 687.12452745583619, 688.13892228283896, 689.16312557358299, 690.11258684064023, 691.41386271468809, 691.5249651346237, 692.26307490145564, 692.45510914851536, 693.4318409644028, 694.88326950784324, 695.19265080705895, 696.51110669321031, 698.14147665837095, 699.19121013200356, 699.55949959910856, 699.74453439594015, 700.24427091676648, 700.7286820319423, 701.67759282871191, 701.91405824094613, 702.18174247307547, 702.45508483282242, 702.49036922354674, 702.52887491083823, 703.60633652005401, 703.76487694904483, 706.47246221832665, 706.53895903284808, 708.26795142254457, 708.90019209083437, 708.9564390866243, 712.05595553717512, 713.15408966172811, 714.43708265539783, 716.41422501330476, 719.7741771406354, 722.7447807910761, 722.92226898805916, 723.43175945667076, 724.1535396129558, 724.20166271621383, 725.08582015904619, 727.63496525226628, 729.95636083117324, 733.15668305691065, 735.23128975532495, 735.73072974943454, 737.5951460593144, 739.04614548150164, 739.21402517235686, 739.41141808231987, 740.23742172183768, 741.32069391186633, 742.11050921072865, 742.32120495095785, 743.23088072887435, 743.72857329709063, 744.15215859006707, 744.42521349832691, 744.51451384782615, 744.84324302643768, 745.3963279120361, 746.15737511753969, 746.78262072455686, 747.78276087585346, 750.14529424218176, 750.39115661552364, 753.83543175232967, 754.89433190743171, 755.07323634734166, 756.01969159392138, 756.51651122079932, 756.80894088930188, 756.83076059010045, 757.29653823282445, 757.85164595626759, 761.03615751488667, 761.4383317947545, 763.44819682556351, 763.7174004862128, 764.00073890584088, 765.88350139271529, 765.97107420134353, 767.12066226200284, 768.40867138587066, 769.07958831397855, 770.46127909954066, 770.79383888507743, 772.91356900371909, 773.00867615064249, 773.7249382066326, 776.05908241973896, 779.53296133150377, 780.86917274748009, 780.95028139568979, 781.11068896210111, 781.9175512814428, 781.94246787211819, 784.5553010062464, 784.92091434174631, 785.02944343115951, 788.51977770906308, 788.6582083536257, 790.03954637198365, 790.43224734353873, 791.0596957659194, 791.41460523395597, 792.19499082293987, 792.67806659214637, 793.83560446051274, 793.99860512470764, 795.86083170513655, 798.41920704679808, 803.75063558120462, 803.96111194783998, 804.33574542609028, 806.80462360061722, 807.09853756927509, 807.42723042200453, 811.02318430829632, 813.00265881475207, 820.42350328612054, 820.75716438876134, 821.05778878046374, 821.79952348877589, 822.87153951516586, 823.59207284266165, 823.6838654655653, 827.38521231796472, 830.16929265055285, 830.35453502576217, 831.31096311428576, 831.95596698712075, 832.3520658724666, 833.26979539430533, 834.64660976464677, 835.78859585512669, 836.19698764880604, 836.66745320953044, 839.09299300501129, 840.83299886964403, 841.31519331045945, 841.34731049966649, 841.46478343216552, 841.50017623321025, 843.62363459589403, 844.04407986887918, 844.96157079202408, 845.11210289667781, 848.82291908402453, 849.245874555049, 849.31568387081882, 849.53926413983106, 849.76414489237277, 850.27034199648051, 852.74585781230246, 854.058129023368, 855.16082577275131, 855.29773140874295, 855.70095560380696, 857.4836223797181, 858.54763840578062, 859.46118710223914, 859.48497075442276, 861.43525808828315, 862.5227871110676, 862.76638886328897, 863.0929713596546, 863.7026280545133, 864.90114163793669, 865.22575009491118, 865.86873240831994, 867.15800334201458, 867.48702078377755, 867.81662378465012, 868.43211016743362, 868.90104942615756, 869.18639988333848, 872.61127166781364, 875.5219216397046, 875.55182937201664, 877.46513136931014, 878.51490499095803, 879.36884163548939, 880.50140921114973, 881.91752964178363, 882.10878266767895, 883.34372690880082, 884.45767144232718, 886.1509847754578, 886.91552464238441, 887.70710878002842, 887.83867605388127, 888.35131966671622, 890.37588959330014, 892.21314539951504, 893.14495508495804, 894.94121346154486, 895.65061637359997, 896.12900502099058, 900.45048030861051, 900.81530861456827, 904.57759828289841, 905.57359568353604, 907.67673178160817, 910.79732278748486, 911.06226014181345, 911.09039986569962, 911.15227593493023, 912.25260865336566, 912.51357641032564, 914.54743924225579, 915.90850989198213, 916.1545002109599, 916.56479253590487, 917.13782732950608, 917.71958472264828, 919.00896101555509, 919.61726577306138, 919.98316654357575, 920.20511504956687, 920.3436479158247, 920.8356180091356, 921.06452498562044, 923.13192181353133, 924.00227317876875, 924.71787172883921, 926.49993100024233, 926.78939350123017, 927.26924225404355, 927.59763177504033, 928.48910098523959, 929.89437207173, 931.21268622099785, 931.68509410216166, 931.84344506482785, 933.4589344795645, 933.92016073493642, 934.35158414069917, 935.60614836321122, 936.32622849189636, 936.70832306493389, 941.66395167847861, 941.84695103992419, 942.89705032228733, 943.35498052235675, 943.56523132244672, 946.14615129939239, 947.34998805236876, 947.63819414013642, 949.75813319889028, 951.16036721074454, 951.63293748976241, 953.36100596275116, 954.58727467626443, 954.67714775496904, 954.82942394380791, 955.8394526865344, 957.18814555338088, 957.98814137012437, 959.22823786155129, 959.44607171602854, 959.88440068359012, 960.1613817507839, 961.67908348793378, 962.95463291224587, 964.53315030119552, 965.81478312016395, 966.08309301184443, 966.50603553224107, 968.01350832890796, 968.49946576253546, 969.17694447864585, 969.50463512465956, 973.30854054299209, 974.08055607710901, 976.29282379578649, 977.69107320160265, 978.00191412739707, 978.53808595720454, 979.00774000323429, 979.53578326472427, 980.23088810979164, 980.75192112825584, 980.97308368379868, 981.70663118403513, 982.52395760791023, 983.235415677368, 983.89125586895568, 985.93935700110467, 986.15884212282504, 989.42746047593903, 989.5027741084516, 991.0295056500006, 994.05957767455482, 995.38715904253331, 996.84176534785888, 997.81102362218576, 999.45222884175826, 1001.5954927440205]),array([64.640175035663802, 65.669550883282895, 69.422752286230775, 69.495484953059815, 70.416998025666302, 71.338004893643344, 72.842303194125648, 72.902250555319853, 73.10081196724542, 74.747813898497228, 76.161914816798713, 76.817815603404583, 77.297327330526912, 77.759000045155531, 77.95080737439018, 78.162083895894909, 78.23442145786268, 78.89647977432783, 79.753821450841812, 80.913162549230123, 81.281581507698974, 82.508369717715567, 83.760166045511824, 84.595592275858692, 86.502574592121405, 86.726426349623267, 87.430096055962835, 88.923709833114813, 89.211753553841248, 89.234470022372847, 89.599681874932415, 90.32082942577496, 91.42028002644912, 91.666000731400899, 91.829486522257668, 95.293454797198535, 95.835329852544163, 96.223238219092153, 97.532578102394083, 100.40511473111913, 100.4724435139161, 100.83425067315487, 101.44493189630617, 102.24299877589365, 102.87506217769128, 102.97974648733825, 103.89987687516371, 104.39832874504145, 104.75641919237638, 105.94985507917379, 107.25356718199011, 110.73319976116795, 111.64375776506708, 112.87861296853349, 113.83351633429946, 116.56791880675706, 116.93109860239383, 117.15409399713529, 119.73817241653077, 119.81918170358728, 120.43115365373718, 120.48721562135329, 120.84183040819769, 120.91160285090787, 121.21453205306261, 122.3891020494376, 122.90246190050976, 123.0624482150442, 123.09600178685312, 123.88868227232113, 124.09972168212116, 126.5166922004215, 126.59054502784264, 126.67523957133314, 128.09907089363699, 129.45726988208654, 132.29794619206379, 132.37904767559266, 134.13274820935146, 136.00816571857825, 136.78527169691287, 137.04729979481451, 137.3445878983826, 137.65250784592163, 138.06698512059026, 139.35066901447303, 141.94097227442396, 143.24261558434745, 143.64148703356847, 143.7480101498933, 147.2606818549061, 148.51136285958032, 148.76232639251975, 149.34408583669, 150.16684418305169, 153.5836280066203, 153.81704681288676, 155.69400603242175, 157.14472882060673, 157.20397102566542, 157.33807727208662, 157.62201658934873, 157.87823830740345, 158.15573492923093, 158.64883378929585, 158.73564412087009, 160.02000301877226, 160.62176435269311, 161.66878420550788, 161.99029659006692, 162.87855749661043, 164.15661272939354, 165.61900094033214, 165.71790962236017, 166.54979830906456, 169.46093468025666, 170.6924961861983, 174.777150209132, 178.6280387365799, 179.27375606728305, 179.95726258889661, 181.42750819464723, 183.70715856330509, 183.76419281933329, 184.34063129472281, 184.51500284598248, 186.39855972512575, 187.37991157459709, 191.58420001484248, 191.85376212222013, 192.09094217808678, 192.44186138797946, 192.87744104204199, 195.80038023361647, 196.0062397262142, 197.87790298136645, 199.66860745949134, 200.15248913068473, 200.41509763923739, 200.80412285302896, 201.68474331371806, 203.29803215530546, 205.80638768798033, 207.33510285343456, 208.05277655672123, 208.50736259075001, 209.00106882522314, 209.21624745272939, 209.409854216653, 209.68073304883961, 210.95709600301316, 212.04294340402075, 212.54511628133602, 213.71188769509365, 214.32992969938587, 216.70863470089665, 220.73220389828174, 221.38487740225531, 222.64816348891924, 223.4173718784734, 224.19293582473261, 225.11490588189585, 227.16276221449021, 227.78383361075521, 227.9203330851189, 228.11112764242364, 228.88803891699305, 232.66704263428826, 233.78407228648524, 234.53992173542682, 234.60531776202262, 235.32996859796302, 237.08708418734099, 237.28724939256472, 237.72286638054084, 239.21808024285716, 240.8073984239675, 241.32516350825611, 245.96344723588842, 246.85380979695148, 249.29844312257632, 249.37267962742249, 249.63265105962964, 249.69299868836859, 249.83410823954836, 251.48840136321473, 253.27513247840585, 254.21025086079538, 255.8843711107092, 257.11707036761607, 259.53511172698063, 262.01302428837852, 264.73377923311062, 264.76781795746598, 266.01499720834914, 266.72410336039695, 268.41684338464478, 269.04775039217515, 269.28435175754288, 271.03014692301866, 271.33855193311285, 271.49706241454908, 272.26814941655465, 272.99111934341465, 275.90674030420917, 276.9091401070088, 276.96863451650421, 278.1118899977775, 280.06738359029947, 281.86490852140679, 282.20438381631681, 282.38494033838737, 282.46535309498108, 283.66003742362705, 283.79695365999146, 283.93475886513119, 285.24761333802775, 286.02751390919173, 286.27138697311426, 286.88714029467684, 288.89550858837526, 289.93773672169732, 290.20388581081409, 292.0010216939811, 293.37494763934478, 293.73225329440118, 293.79217009986712, 296.6750804493372, 297.28591876424531, 299.877618736344, 300.51919125864418, 301.50496807232429, 303.09246685657712, 303.22211686393536, 303.29258269173386, 303.56734281511228, 305.24909467888295, 307.89771876208789, 309.59843239709954, 312.24036193186129, 312.53893501479513, 313.32647435582737, 313.81853455174911, 317.70904450602944, 318.35541312605091, 319.35541278493332, 319.68117175547462, 320.39538027472872, 320.94492041559101, 321.9530246194069, 322.03715232569397, 322.98400041633226, 323.30143087438103, 323.4371451681323, 323.91468436616043, 325.91948257962525, 329.09903214935201, 329.31448482320769, 330.08932018386747, 333.16052173562969, 334.20604811022787, 336.38915574858515, 336.62221207343055, 338.62393251078367, 341.06357000728326, 341.47844609685058, 349.91806383892134, 351.66691648794244, 351.9671228123409, 353.55115897490765, 354.83858838089475, 355.78079642264578, 356.72449366050978, 359.23099161376558, 360.04881682181679, 361.65138647059024, 363.48660833039133, 366.58384641903172, 368.20238045677684, 368.89630938311296, 369.43303435438463, 369.73550268835311, 370.21935224583365, 370.36449242316405, 370.5827866478661, 370.74639226992184, 371.32008339758619, 373.80986838438878, 374.06508347003648, 374.26773578531601, 375.23154495404111, 375.60657424132387, 377.31410878809555, 377.85575122434017, 381.24835147223735, 381.65114659595281, 382.94273996092068, 383.81682022474081, 388.44605446190752, 389.30012573743409, 394.04816103007204, 394.43623679335468, 395.70737693444818, 397.36485903284216, 397.81846331292115, 398.0306391998634, 399.36708663142332, 400.88445091835302, 402.34008009096073, 402.98352200593962, 406.05972026268876, 406.1042246809036, 408.10877122329595, 408.34232330887329, 408.90898417645462, 409.54571833825094, 409.87668813213685, 412.63797315463881, 413.43393536259703, 415.16587656222288, 415.48399802120349, 416.30210686837279, 416.59084994999967, 418.9658291530439, 419.11161093861182, 419.13337899638771, 420.00278580487497, 420.83683275379065, 420.88809759133767, 424.30571965413566, 424.42731277352885, 424.77823730572487, 429.23004173261342, 429.53495573744135, 430.82065660274691, 431.17575346614598, 431.53101907471984, 433.84148764753587, 435.20074164610878, 435.82843207970825, 435.94393452995797, 439.02461397581817, 439.57243539482113, 441.34236338863536, 442.68873104805277, 444.42340923887031, 444.81250868110124, 444.87146336132548, 444.92116370495063, 446.38754209116559, 448.45604961503631, 448.66041292202954, 451.32325000895617, 451.94926118486228, 452.28964727899927, 452.55846564437599, 452.70752048813699, 452.96493391359195, 453.24132306067088, 454.40739922601881, 454.94759803642927, 457.80888208172348, 457.92115518361044, 459.79638504899788, 460.39413436265551, 460.65884496445233, 462.34101304481226, 462.73644724473274, 462.77643245250778, 464.57144586410845, 464.59758550836557, 465.36777843276616, 465.96256280489132, 466.25308597265098, 467.25686449178033, 467.30458575246121, 467.45980958134203, 467.50561595687452, 468.93721846744523, 469.71363720569872, 469.76684263760836, 470.53786156954953, 470.90765902973703, 472.59719379225982, 472.87810125075117, 473.66632976021629, 474.0246963001876, 475.35411734859804, 475.92481258304662, 476.31652813401149, 477.5516237319751, 480.33850142552632, 480.75782114190076, 482.06778559554232, 482.98729832663565, 483.134571969798, 483.43548829192474, 483.55942845954047, 483.96212853392609, 484.02500042598933, 484.25886614349326, 485.53147265530174, 486.6702761897443, 486.7929035290997, 488.09874558234128, 488.75321706495504, 489.11327935047842, 489.35725959277454, 491.28264392766363, 491.68488067078943, 492.31315022198447, 492.48462620639816, 493.24904995434605, 494.04781004330152, 497.0339328307291, 497.28300744381397, 498.29857152187691, 498.36078647273541, 498.57861142171487, 499.04425322668061, 499.41051254948593, 499.98620167442772, 503.50157908758598, 505.54693884590273, 505.96371062823113, 506.65400017057095, 506.98435274178786, 507.71905915545267, 508.88432458147611, 510.36636105553356, 510.5476926877227, 510.68305108914421, 511.16500643320506, 513.37956707811622, 514.29309379764857, 514.75313335334761, 515.73090241884779, 516.16785572722483, 517.87390972623029, 520.18909682605658, 520.33694463103336, 520.80667614985623, 520.89929106018337, 521.40574115063066, 522.80073499487389, 522.90132531126324, 523.61806761577998, 523.80415826374849, 524.60053717352582, 526.16479836512542, 526.22360644778712, 526.37897751086371, 527.26938404866951, 527.6233248142513, 528.60433196840268, 528.82186613163924, 529.58191110896792, 529.83329077646147, 529.90113770770199, 530.1976403058178, 530.74671796901953, 531.32165622156049, 531.66169560662081, 532.73449470847129, 532.99601499414587, 533.44895912086838, 534.2044016151691, 535.94640237502006, 536.15047724024964, 538.14441141737586, 538.83218679037407, 540.1429091408711, 541.45560790442744, 541.69601660757246, 542.70713170993031, 544.27029925273371, 545.20940931456084, 545.30400179704714, 545.34823786336449, 545.70323720049407, 547.30480706029107, 551.03889006699922, 552.54000836584032, 552.71965147264211, 554.28914894438014, 554.62321202302201, 554.67050318623205, 554.71615176135424, 557.67364189488296, 559.37890186968912, 560.59120910880699, 561.54914800905738, 563.46640724124109, 564.33113730890477, 566.02484456090906, 567.06564097880346, 568.05903400513762, 569.46206806304303, 570.14172184558743, 570.32656036974538, 571.48805529084075, 572.13129580477266, 572.82696914771896, 575.14203237930701, 575.53586981053718, 575.61164006632259, 575.72187851620538, 575.97771530298007, 576.89107765491599, 578.43263462948039, 578.80773450671575, 579.8460083878665, 580.569585495571, 580.69232154950919, 582.84857107318578, 589.10326714229666, 593.46162513119964, 595.66995346020224, 597.88578593032651, 597.96526814246579, 600.288671254664, 601.44983808230825, 605.43389235298241, 606.43438942794671, 606.5897765432411, 607.62511787217466, 608.25547260759924, 609.0750394797484, 610.4907876889107, 613.30981707604792, 613.80901985037121, 615.30683322817276, 615.77336633622986, 616.04737327116027, 617.75800439757029, 617.99764788426182, 618.40762156477683, 618.5971628497756, 619.87616224254191, 620.14529240484671, 621.55280037124635, 623.25260422767133, 623.90969624805314, 624.43401958512334, 625.12829966058428, 625.34249244591149, 626.44986455136973, 626.54512035444623, 626.71623548187677, 627.47166317281767, 627.51525904850882, 629.26846400334637, 629.6085635592907, 630.95664193753362, 631.85488755830693, 632.08485950106888, 632.18537151971043, 632.31412826130565, 632.42936202943929, 632.60816156903491, 633.59561965383284, 633.92115517399816, 635.27496837360491, 635.37886834665085, 635.5625318401477, 635.80523140419916, 636.67604083253559, 637.59618126933003, 638.58190536787697, 640.17072595171066, 642.12549517167724, 642.39785187311497, 643.14414952494758, 644.91123896949716, 645.01816619789406, 645.29770167814377, 646.74829586198098, 647.71090026053582, 647.97719235773013, 648.88647444883293, 649.38663209845117, 651.24684789941227, 652.35775377924074, 653.45677947678985, 653.95958512056188, 657.52913999799489, 657.63998950234134, 659.81339340501734, 659.83561055406074, 661.11496557599992, 661.35539160203234, 662.81275023956835, 665.0518336638122, 666.89562974450348, 667.57682734879597, 667.83325587593936, 668.75524633742396, 672.77351274774378, 674.78781287981963, 676.0464277596277, 681.5781053171836, 682.53043650576717, 684.11698583655516, 684.20198738198928, 685.02229177615061, 685.80867638106213, 687.60599880585926, 688.12709412729419, 688.84271021165819, 688.90179613329724, 691.03390551570862, 692.67052553389499, 694.2126374583579, 694.26091373739689, 695.16323108847632, 695.55560430217065, 697.39251259913249, 698.00442477229012, 698.93979475693493, 699.82664547144566, 700.40617659054692, 700.78364408902621, 701.05586659476603, 701.65473112417374, 703.71692613632479, 704.06888884513, 704.63755711648639, 706.95281684726672, 708.66809461535536, 709.67603377463809, 710.44777504937031, 712.27235710919115, 712.75620196344096, 713.65163494170747, 713.89595473338386, 715.36765313355409, 716.72231784785265, 717.43759963497359, 717.61946413538874, 718.12274139333113, 718.75039607841234, 718.89582213583162, 718.9230346674434, 719.44279770237006, 719.94374464308441, 721.12663822635159, 721.76192722082294, 722.42973140059792, 722.75521950167877, 724.61002413036624, 725.65266993030968, 726.67634483668439, 727.17168951421434, 727.39372698150987, 728.43358245315949, 729.89076803498028, 731.07856810560997, 732.03902778504914, 732.60150576968738, 734.37291183752984, 736.38911413035919, 737.35242835966324, 737.59536708936264, 739.35931280475143, 740.44919388587971, 741.1600327753041, 742.02057531111859, 742.05287193253673, 742.62167515231795, 742.94030968715845, 743.08730952576968, 743.91006364822965, 744.05943350305665, 745.16062939102198, 745.42095249044303, 745.73574328748873, 746.17987396508647, 748.24260670619867, 748.39968161164916, 749.75639931795547, 750.03373581635378, 750.10096392047024, 752.35953169932338, 752.66787242813086, 756.73507907531518, 756.76724403811102, 756.92997830215882, 758.22462158138353, 761.06094728684377, 761.72888272205728, 762.21240911881114, 762.62529053697915, 763.19663809999236, 763.98596657612029, 764.21916342483507, 764.45180249023065, 764.86145661490627, 766.96281415914848, 767.10803426470477, 767.85129347571319, 770.15605322083934, 770.59853380738593, 770.84654447299647, 774.89314061295863, 775.10643835973474, 775.49021536472014, 775.74492522417427, 775.90170409534676, 776.11596822927083, 776.71833214241747, 776.89099062262881, 778.33635315591982, 779.21866614108228, 779.79776908458564, 781.51315585840291, 781.75853845218592, 782.41454140125472, 783.07391460628241, 785.22559754502174, 786.11420724882748, 787.17329379123851, 788.84891821529334, 788.89679989208787, 789.33724756525442, 789.37258694930756, 790.10938197196981, 790.94084999889344, 791.25388036956565, 791.80298939894351, 792.25792095909424, 794.18265922231933, 796.83617765802353, 797.97881077595139, 801.0227203439938, 801.7812888128916, 802.53939132178209, 803.41970687549315, 804.04513518077124, 804.54186426042304, 804.77563531948863, 805.60768732009683, 806.09250940579989, 807.55151071313139, 809.02564369258062, 810.43997456846603, 812.92098214774614, 815.58726918237119, 815.66368846427872, 817.199469315089, 817.56554222847626, 819.45328757790833, 820.76641108347474, 821.29137782294242, 823.53284582439539, 823.87151981290674, 824.53997536958263, 826.59101179811091, 827.04634680962477, 827.08605802205318, 827.41329659740393, 828.29976921455341, 829.3497525545306, 830.49237083540208, 831.31344700815498, 833.5949526673204, 833.75550456235283, 836.77019922231318, 837.96118698311557, 838.53844553995214, 839.03580808445406, 839.23856043220292, 843.57422271241364, 845.27991084468886, 847.72255178402906, 849.57789149154996, 851.61095635627851, 851.77299534632641, 852.12103686383034, 853.34798836372568, 853.38052626491901, 855.02661785031285, 855.06513172730274, 856.39311838969741, 857.31157365965191, 857.57003662727232, 858.23332190917858, 858.67645057726384, 858.8276103922725, 859.83789191109759, 860.02572476593321, 861.85751830674599, 862.88956092417891, 862.92070362016375, 863.06558319534554, 864.95551980860773, 866.97433467709516, 867.38772150657155, 867.70787658282302, 868.74581488440197, 868.79442160373526, 873.12401811538109, 874.15502495731096, 875.00515888501411, 875.18829492241184, 875.9611375973775, 876.17229076106889, 876.33030029271583, 876.68923570620746, 878.46448111069412, 879.38844420459645, 881.08937226858848, 881.61098537713917, 882.76086551708124, 884.15793852840989, 885.66066334901882, 888.11763775781299, 888.69879670084072, 888.9408644884702, 889.73217920247635, 890.76903546957965, 892.1192256764333, 892.79238692696765, 893.684603050904, 894.58003872758343, 895.09270394121825, 895.20666548122085, 895.73241575242673, 896.51425580549403, 897.55922535687421, 898.14674993468998, 898.73927175803169, 900.26767904085409, 901.34989519379553, 902.46214987446967, 903.34689556017543, 907.83235728114983, 908.36570052106458, 911.50183872687569, 912.0233977048199, 912.8837354056551, 913.3100356223074, 915.79381334007235, 916.4816786427599, 917.35696519557496, 917.73141763867591, 918.17103714940549, 920.14703854950244, 923.92398987500462, 924.34338096804277, 925.46879166919746, 926.05588281292171, 927.44846245354609, 928.8671776397656, 929.44052125407393, 929.94101591789581, 931.23292277376061, 932.37898823004639, 932.61652252938143, 932.94297067973025, 933.05165952069342, 933.61731365109722, 934.29300502023682, 935.00402374681653, 935.69928510296268, 935.85488901984797, 939.59407542806116, 941.17527583171193, 941.35425708539833, 941.45164557383907, 941.75625038637259, 943.467611825684, 944.29036644967641, 944.8794741099731, 947.0361128856016, 948.68735541260321, 952.62427688927392, 954.15656388148648, 954.71361045810067, 957.11128669291929, 957.5819423054154, 958.20397118038272, 958.95455787850699, 964.27882485740656, 964.63335821022974, 966.69514739555291, 968.76369843786983, 970.80937799295123, 971.88124421924738, 974.13057520315522, 974.74696460124335, 979.31171819654298, 980.84701686488415, 981.69653684229036, 982.61556291683394, 983.32350564833621, 986.88024097511664, 987.21253328184196, 989.00440208143505, 989.99443860439681, 990.70425795693279, 990.78287603386411, 990.99805557278012, 991.14920568998389, 993.43336479335062, 994.22923069686965, 995.96991381459679, 996.20337340097126, 997.06913210808034, 997.52281219987515, 997.97622530657327, 998.58253058272669, 1001.1678008344325]),array([67.444644951451565, 69.005395041782236, 70.736332519688546, 70.760244948747101, 70.940816176837018, 71.189728515398983, 72.641728396119632, 72.856534642832131, 74.875493486161545, 76.63325598248656, 76.811808102513567, 77.473869771873026, 77.986489303793192, 78.7136182732538, 79.290831076931454, 79.349227185113207, 83.444996890613155, 85.472781669584066, 85.733829081005268, 86.476751647857441, 88.465892918486546, 88.626655065008634, 92.31452063461775, 94.412613792648528, 95.173940229336978, 95.546188919690195, 95.745216567878686, 98.936654785136767, 99.486261093312791, 101.49926986073359, 102.62235984071636, 103.87069747140183, 105.44063748465859, 106.44827631328457, 106.65162722270999, 106.8017623026482, 106.94269022315579, 107.10200074528859, 108.65742610888653, 109.17109436114114, 109.28167258838759, 109.7455499076024, 110.37560371211461, 110.74367343131368, 112.97938030477926, 113.01266619084458, 114.98923324977382, 115.42987813494183, 116.11582669392052, 117.30825247365523, 117.82908698009162, 119.08792248872824, 120.13268353133181, 120.27577335601266, 120.31229365414212, 123.94845871465829, 123.98326496397291, 125.08508727796395, 126.96527907287904, 127.74572934807767, 130.45437038504787, 130.98782108608125, 132.40796432918307, 134.22795347370555, 134.52208299383651, 135.21890856655259, 135.26074890865431, 135.41154023030936, 136.98844428578613, 138.08035142020856, 138.11781548859838, 138.65318725724276, 144.09765222409203, 144.90176672852459, 146.19315967912846, 146.46108772151979, 146.61132986540599, 150.36857929916295, 151.89850467258637, 152.99136886765382, 153.4728052356858, 155.12927484289568, 155.51104331274752, 157.78205201417651, 157.90267224719881, 160.84558996805282, 163.28942968567318, 164.04061510788952, 164.09691081011476, 164.87906783341106, 164.90414890963086, 165.50404876260899, 166.85512614735865, 167.04170050435366, 168.01910203460875, 168.73141514791828, 169.67529142500058, 171.80980147689311, 172.31376040978896, 175.33921311211782, 176.99968336612656, 177.61368766265761, 177.7923369800632, 178.3539199111776, 180.02131837581123, 181.09149764458007, 181.78880998167674, 182.2839121945168, 182.36089604918644, 182.67130785142965, 183.17602761257572, 184.74351889146783, 186.12158640622508, 186.6147188443274, 186.81264289546147, 186.9798698376066, 187.77191599240302, 188.39395766737226, 188.7526737933311, 189.92142124188004, 194.51086272194638, 194.59325993822011, 195.88640641169965, 196.76184217927013, 198.72510801980687, 199.80706392147215, 201.23088721988887, 201.62536096384707, 202.02597151208249, 202.77925905617755, 203.17224972675425, 203.47781392497708, 204.98199215696053, 205.9246603403684, 205.94524933430958, 207.78196998393793, 207.83397460668456, 207.86586011792437, 208.79691479170077, 209.01128962133819, 210.7084060179742, 210.8647422059442, 212.14252191279752, 212.33856125820074, 212.92701520188544, 213.33682618965906, 213.82461110603757, 221.23852218070687, 222.18890887639276, 222.26472335560024, 223.41600839757874, 223.70934121527995, 224.0468287546648, 224.86127267373016, 225.11436359326376, 225.20225383334898, 225.76013683555138, 226.55701351237749, 227.26218500583479, 227.55043938850031, 227.60038581598741, 228.89617113106058, 229.806586620903, 233.89294250276882, 234.11159966543079, 234.9707835155933, 235.57500218892281, 236.24415104917543, 239.34368982908637, 239.85410636115409, 241.20623228777964, 241.79889245453518, 242.24243405478015, 242.97853278745819, 243.21379162893913, 246.84857619117574, 247.09552363700556, 247.81889794003777, 249.23435112759702, 249.61785136818705, 250.17662608152423, 250.29113314667518, 251.36516102069501, 253.35889246354736, 253.94667279173979, 254.41126118504914, 255.0791165997976, 255.16917685620149, 256.51740019388723, 256.64014302200695, 256.73048415021384, 257.53732832006295, 257.98862606507765, 258.14368068834381, 258.64306231704944, 259.34455081622764, 259.637006669063, 259.84777359785284, 260.48206011608107, 261.51867911073356, 261.97499449047717, 263.98852047420206, 265.53444384789066, 265.9213782777652, 267.16250476065841, 270.55527596348168, 272.4198120336788, 273.74383425566623, 274.56535979278215, 274.72120523549501, 275.34705555027745, 275.97496448012026, 276.36002852552951, 279.56171997749146, 280.04407080228407, 280.19319604574031, 280.88855680416566, 283.29259204802798, 283.32453052061356, 284.09827339456677, 284.12783234672213, 285.67276073193403, 285.8469048582528, 287.78592253588056, 287.99694518809275, 288.74666889729394, 289.45953138503359, 290.34768346478137, 292.81052396282303, 296.3479167572541, 297.90214485726318, 298.32264234429999, 298.55594698735268, 299.14850637557606, 300.34839117757156, 300.5716369340023, 301.5849136133541, 303.1355842199057, 305.25606450072365, 305.48212087055805, 305.91129903582464, 306.42571132379481, 307.09978447344508, 307.42100241608557, 308.48830405467504, 309.13373313393163, 309.72483764021291, 311.16751402888332, 311.23310482438626, 311.54283815533125, 312.66336716388912, 312.70394576638347, 313.06393697821034, 314.26417340384711, 315.3310294020701, 316.28064326916308, 317.17739777286567, 320.02598249199792, 320.84131032518928, 321.59748990346668, 326.92888065144052, 327.68811052725596, 330.58654795049353, 335.26029916777003, 335.65675265842282, 336.95447711426181, 337.62665092434179, 339.28806158197204, 341.51786726867709, 341.68708068054946, 343.08018128217748, 343.5140072685731, 345.05115003548542, 346.59654482335725, 346.63286994079959, 347.82461493803191, 348.46317026938351, 349.4183161185037, 350.31236657521532, 351.96849575435476, 356.71294958824791, 357.99079416758747, 358.35306727596065, 361.55665385438346, 362.87833658810757, 363.48544554731762, 363.74090719472395, 365.42808834916133, 367.13979232908423, 369.18434263822945, 369.68777081264352, 370.70877679950638, 372.71016497063641, 373.09911851019302, 373.58927593849523, 375.55798326096101, 376.85704824811745, 379.87415805803039, 381.97873069782383, 382.99350514104128, 384.7431223108407, 386.03814766311103, 388.49151362309686, 390.02530626206834, 390.21538275422989, 391.6724164930713, 392.7191389957834, 396.0537147238972, 396.53153879650989, 397.27350942757744, 397.41482935164032, 397.80361680498237, 398.48919187539298, 398.56736404753303, 399.86053143892354, 401.72327169304072, 403.05781304244675, 404.66475564098414, 404.79779731686625, 405.15792741167496, 405.84803557229259, 409.42104811047511, 410.60117146250946, 411.56598150230036, 411.77603802776417, 412.83968925721973, 413.87333666025467, 414.15635712093803, 414.21404757323825, 415.20583714693652, 416.41377513154322, 420.46464318406606, 420.64626728370132, 421.2705942671306, 425.20285318903876, 425.78067678015839, 425.89087904786697, 426.40147862255202, 428.24302406213002, 428.56342929085673, 428.83691054378153, 429.39667500661636, 429.61036504935458, 430.49494885019567, 435.33550751391192, 435.39517346528874, 435.55166447203811, 437.21714327525785, 437.80759590016265, 438.28891285881656, 438.83455898280346, 439.17009478992151, 439.61135926544523, 439.75735354508708, 439.79762325067333, 440.10686785171754, 440.30428664914695, 440.37498603003615, 440.55298050195466, 441.09034771035914, 442.28807244354908, 442.71585677927038, 447.00588606413874, 447.6811289027516, 449.55675090833068, 452.14785930577892, 452.97814037508977, 453.3675875515105, 454.81293737489057, 457.58938559407926, 457.98826978471521, 458.76332870350103, 460.29878803906291, 460.33512797727991, 460.8546373011161, 461.46559870489011, 461.92734562612759, 462.70530379122346, 462.81308450575131, 462.99502251173084, 463.44670371918966, 464.13652883760074, 464.9053464628239, 465.49824272514775, 465.54514833355864, 466.54528267951991, 466.58740578388955, 467.39538392943444, 467.91534390836836, 468.81652921277566, 469.39148568800425, 470.00908554854237, 472.57073615365937, 472.89159275723165, 473.84077417100519, 474.94399706293069, 476.0223907719714, 476.38823081201076, 476.54299885847746, 477.82526383715367, 479.7298953057487, 481.40317715212916, 481.51099241967364, 482.19051933005107, 482.67805072174707, 482.84795425286194, 487.45927599282703, 489.89554375272536, 490.44652337743162, 490.77216348858542, 491.04548205590169, 492.63405042074857, 492.81773758510042, 493.0225233248791, 494.37431295475221, 495.36756091039558, 495.53287101332631, 496.1464967214942, 497.11295338220089, 498.02201558805359, 499.51872008660683, 501.11323958168248, 504.17930438901209, 505.37123630066924, 508.91551915595619, 509.87072234055114, 510.54908189351897, 511.22448283213458, 513.25868289992616, 514.34935805214332, 516.10234759051855, 517.76129005086057, 518.12977849825597, 518.54041884605886, 519.20407944548822, 519.71430314713848, 520.36325763522416, 522.77157618796809, 523.90172363390877, 524.01977756175245, 524.13125648480548, 526.32924006329335, 526.54890432886202, 530.31426890641455, 530.98857476749367, 531.16965728510343, 535.67947410766908, 536.43900470314668, 536.55325339520402, 538.33373429411733, 539.93605915337093, 541.35229490740699, 541.50415328247709, 542.15838776379712, 542.35347739275392, 543.41834787248547, 545.37646299238611, 545.57693160149211, 546.14710290922687, 546.45500832840833, 546.93663569847126, 547.45870265104998, 550.15997951449731, 552.496710896889, 554.90629142999228, 554.99993408251476, 555.1882340430767, 555.24973418206935, 561.11152823607995, 562.12585262261189, 563.11415989450245, 564.28382863358388, 565.62033166168419, 567.47225896583211, 568.97113884979183, 569.21679054591687, 570.02900643274313, 570.24010826633094, 570.50578968083926, 572.95016759987129, 573.49443816845201, 573.79641260591302, 574.86963280304701, 575.38475220199507, 577.76685961076907, 578.29516264794688, 578.88588986973832, 580.64976189953461, 581.47501942764814, 582.6551543779434, 584.58171901103037, 584.96924835422874, 587.77217821636702, 588.75736449646638, 588.94408898775555, 589.2908023591267, 589.7440337965196, 590.66956897700834, 591.56807966093936, 592.77829634030684, 592.93821351410725, 593.18897751171426, 594.87092880405885, 594.89864178320568, 596.18282681522157, 597.42898544293678, 598.07855369870219, 598.70707977090979, 599.18667625837236, 599.97031656236311, 600.12097690510404, 600.19154383334535, 601.90974485155516, 604.89464022397169, 605.21470521638582, 605.7623009533911, 606.0710605860537, 606.88966233872827, 608.23796113429148, 610.25957464054, 612.04607294413154, 613.03231903818471, 615.47147484342031, 616.58457126661074, 617.86429838664867, 617.94282977468015, 618.04341585540647, 619.42955750790577, 620.91237471000386, 622.11255568601655, 622.60843734101047, 628.63724126650163, 629.2780096271016, 631.87049788423712, 631.99759083515323, 633.46366422889503, 635.07852305313065, 635.53444320701431, 636.44312245866138, 636.83096723658059, 637.40305129230364, 640.64664135344185, 640.86155790522446, 642.73575636113287, 642.79961461620212, 643.6349521349598, 644.72982808200561, 644.96036473942684, 645.47140734469463, 645.97825415289094, 646.05460025988043, 646.97589075662893, 647.02992899456967, 649.52502829282798, 650.54748302340386, 650.82217962174298, 650.90922962591242, 651.17590706436806, 651.61168064959952, 652.18587294734095, 652.57213769149996, 652.95268463159243, 655.45121893438068, 655.62615232705286, 657.9826957896837, 660.83843736433766, 661.94706959690143, 663.99115381141451, 664.29291332635626, 665.60994766530507, 667.79847969816046, 668.71397179095504, 670.05457649227003, 670.5442436069344, 670.56693114686834, 672.78975883822886, 674.19156653811592, 674.36638527119794, 676.87179221921406, 677.07912759239468, 677.7324969695859, 677.93795432659101, 678.0107144354248, 679.02338080758739, 679.74158477649576, 679.92774510664276, 680.00030527727222, 681.302405502856, 681.93619402756337, 684.33861603566436, 686.47703021144525, 686.71782341461665, 689.45506533861396, 691.28328387320585, 692.5324101529194, 692.57645666825874, 693.20152076916656, 694.8960388595948, 696.19220305759507, 696.8826725733262, 697.39829873081646, 697.9698539866431, 698.77659849260408, 700.54590206460227, 701.6581078737687, 704.51770141478437, 706.62420689041278, 706.67414968088542, 708.45505088384448, 708.91835118174356, 709.64051813899061, 710.19461665366714, 711.84311585383819, 714.27501092541627, 716.9891549250159, 717.33015569186841, 718.3064536333568, 721.64317609879799, 722.62339245856731, 722.94563805716359, 723.33543432100953, 723.55533682369889, 727.11809379093006, 728.05533478860332, 729.35831080364687, 733.21148841065849, 734.3599487247775, 736.15395574861316, 736.62687697237038, 737.35449996529815, 738.04695104058499, 738.1216054564851, 739.00014173403099, 740.20700417750709, 740.50387550143842, 740.62111124535068, 742.4391237919491, 742.71604204213804, 742.96705926140032, 743.49574257302527, 743.5270068027944, 743.57477292076351, 744.13332073646654, 745.05119734656068, 745.19469033462678, 745.39222305472254, 746.1822807872876, 746.35283896249359, 746.99561341213041, 750.3209197418322, 752.75102866000725, 754.25909026141255, 754.31141131325205, 754.8338538007016, 755.31062187857447, 755.5777153706274, 755.73415679428149, 756.46746628909489, 757.73438876550335, 760.05821630087496, 760.12808833332406, 761.68839763116898, 762.14410738098854, 763.10637114703195, 763.4290591338729, 763.64904172743331, 763.69225118101872, 768.05814108880554, 769.4030365714068, 769.92985809900142, 770.30846910939908, 770.86243720574203, 771.70050606591519, 772.0728407579993, 772.56348177820144, 774.40180836044681, 774.7077005317733, 775.05747078091349, 777.19461510359361, 777.34230961291087, 779.35800393724014, 780.47890168353865, 783.18506565773498, 785.41023816529457, 788.74721367963582, 789.90630724554876, 789.98806733337653, 790.56443879102164, 793.27941701403176, 793.63937979090588, 794.3023741155705, 796.20160298459462, 797.34148920040411, 800.8051385510762, 801.17743885211132, 803.14429863539499, 806.27476466015992, 807.30391336729258, 808.6070754373261, 808.67813035128518, 809.21734362369773, 809.45826588991167, 810.83452142101555, 811.03612012359645, 814.20292419051577, 815.36087756620077, 815.50235329025168, 815.73729433381232, 816.81180934125427, 818.6065962622655, 819.06753161679035, 819.12765779572555, 819.42124374265029, 821.07240408584971, 821.76290314259154, 821.85583327170355, 822.60987170685098, 823.45050371141895, 823.59486118466293, 826.30712716876383, 827.05755219174614, 827.20806325885326, 827.92928192424574, 829.35914595356905, 830.00055616807549, 830.74448470000095, 830.90187547060941, 831.71783349799898, 833.88612381150881, 835.45223839400114, 837.37472202023469, 837.43344351549456, 841.10302853518078, 841.22146700993278, 842.1652757615459, 842.32257134558745, 844.0626806670291, 845.64392957666962, 848.13389419010264, 848.98490122065459, 849.04382281093638, 849.64876226651006, 849.68294636003588, 850.2030505860713, 851.3922627826754, 851.44867297406267, 851.56819726186779, 856.99483041620874, 858.44348871738589, 858.62771234235197, 858.78727383746218, 861.22855735366954, 862.71659500223188, 863.72266083768363, 864.1511385457984, 864.87383896498227, 865.42885897678684, 866.12075444642869, 868.38451438915763, 868.50331621236546, 868.58312693904907, 868.67945840204777, 869.26904119941992, 869.55927520953537, 869.82363534699948, 869.92724301746739, 869.97829911210374, 870.51010140031372, 873.57575072256191, 873.63756125520615, 878.93850255843415, 879.18525672752253, 879.28565878724487, 879.36197209928093, 879.7783068191651, 880.61492468988422, 881.46627182789587, 882.51062635870221, 883.44156042142117, 884.79177893417523, 886.96666254856984, 887.56697640522827, 888.4922233795138, 888.51259911927423, 888.90430657138813, 889.67614408123791, 889.99394801600988, 890.9049224473514, 893.09237263793386, 893.89830946741381, 894.12851975182286, 895.23503358857454, 895.43281097577494, 895.69939396406369, 896.13149748947842, 896.41411422440217, 897.06264630576561, 900.23431466005229, 901.00314058621711, 901.10172807420338, 901.52555960735094, 901.93980387414547, 902.46613101690446, 904.34379721272228, 905.37454291680081, 906.14601118215955, 906.25939631343556, 907.27211086168563, 907.99398867755167, 908.01874557326198, 908.95392889492848, 911.20160355679877, 911.77910762214435, 914.11969721552714, 915.8905260050733, 916.02413048812025, 916.28210501450155, 917.59824842633259, 917.80440869457391, 918.32845534996727, 920.10316037914083, 920.56892137089005, 923.19488780556435, 924.05726017248639, 924.45539579148999, 924.65116519793617, 927.64366694741136, 929.26857668757452, 930.14783115884484, 930.30895336750768, 930.49121062657059, 935.24050971089139, 935.74055326079269, 945.65804630328671, 945.90411034462591, 946.07150209154338, 947.18250368423958, 948.74400174059815, 948.93041273107303, 950.94213751909183, 951.45845970112612, 952.67765811733318, 957.1109200847427, 957.47231872735233, 958.35146094200479, 958.5687690222469, 959.53685473850499, 959.85897718639501, 960.73735855775817, 964.08881131419548, 966.0781556255605, 966.35359345932159, 966.42849817796173, 967.10401329795718, 968.80505485632614, 969.8141692266131, 970.96577050266353, 972.15824122038862, 974.69980774363103, 976.30933521592442, 976.65738993574769, 977.82511835377159, 979.99706018152415, 980.20369886525441, 981.59823366307842, 983.56396913298704, 983.75632485774383, 986.22153201071058, 986.37681588371834, 986.60872775452435, 987.0980927883943, 987.16879495775993, 987.91527327251106, 988.80897506515589, 988.86742779005704, 995.45986038675005, 997.33590462140387, 999.38946973867201, 999.48163555754797, 1001.1059922027291]),array([22.376443451456286, 23.354184826958697, 25.751605968982467, 25.782451891732027, 27.392351909223922, 27.567126745360174, 27.768555557986012, 28.770987766842367, 28.839696453449147, 29.346244145626869, 29.9215305319184, 29.95790651619841, 30.11331170955777, 30.208297182764483, 30.676632388498923, 30.817911888303836, 30.895434641268579, 31.066941869825303, 32.780421013940817, 33.928047364741055, 38.174267162759662, 38.769324857018006, 39.353210908144746, 41.043163862376467, 41.840779273835857, 42.060229981377759, 42.600478880387875, 43.60950658416013, 44.679967501613085, 47.394233322535094, 48.074505898128784, 49.09937373536453, 50.946899626522367, 51.576126514013033, 51.914762468277409, 52.465615032524965, 52.758916620367472, 53.434075552297827, 54.554432366572428, 55.539889672677695, 55.565783373357114, 57.178919335144968, 57.728634596756578, 57.76374517491206, 58.60858344883161, 58.727538548654955, 58.786882791462929, 59.601719660804456, 59.748747463958289, 61.856207816777491, 64.923695921563137, 65.157016681744707, 65.394409748779822, 67.640515171466916, 67.960616996580853, 68.341514060014916, 69.710783748407493, 70.740226883188456, 70.830347889927125, 71.035640113660975, 71.24116611902646, 72.483046841382915, 72.785920719693351, 72.951390985992035, 73.129201774941748, 73.279862116670799, 73.376787902787967, 74.181901041240977, 74.370429120260681, 75.083543724600887, 76.581785217116277, 77.650094479269214, 80.203617523034936, 83.361092508822921, 84.200248804382426, 84.492338072925463, 87.451074893328709, 88.554618613034719, 89.218399661684515, 89.825426881170898, 89.928200806860872, 90.09433176445782, 90.411997673532738, 92.766850124349432, 93.578948296010296, 93.946477942436019, 94.059839119047325, 94.773606528928951, 96.196778225648416, 96.694634664346481, 98.579364522310286, 99.462141526661171, 100.52840769666091, 100.82490444708658, 103.61639444799336, 106.37518346472955, 106.71991070424363, 108.15911756497957, 109.19934362964669, 109.27199472044943, 109.49478235090965, 109.77662598591424, 109.94451981388627, 111.69996245622541, 114.01630529166471, 114.81319190400275, 116.94170684499578, 116.987535986243, 117.20092870544474, 118.53146145849806, 121.0041756445839, 121.95048736703485, 124.16055502917399, 124.65585630790932, 126.33906035604163, 127.42724785916194, 129.95867133165669, 131.07934354462151, 133.29507527514949, 133.79425098196938, 134.52385581407731, 136.01273405518012, 140.01038621814303, 140.15285588866098, 140.85301663119941, 141.04293010994684, 141.68162843310421, 142.51535875454198, 142.77116558522465, 143.75102876789796, 145.68165151310598, 149.06123932652892, 149.46161859466204, 151.04765581298184, 152.41542146507564, 152.99914812495589, 153.65354863809611, 154.93693982042419, 156.6226003587802, 157.04942131441956, 159.18963023969334, 159.73288318317449, 161.56040729816183, 161.78960627286281, 162.15103713940445, 162.35647078763068, 163.43109558842278, 165.12353587521963, 165.78868104344943, 165.95449870582542, 167.1296924406679, 167.71218217293918, 168.42101796283927, 171.28638480997066, 171.73357647870381, 172.2698560930591, 172.54160883244711, 172.83265087329906, 176.02968933109648, 177.92989536982245, 178.319468776299, 179.23637520811701, 179.64878098684437, 179.751953968382, 180.21627617361909, 183.7959882527424, 184.42048693535236, 184.73135412679216, 188.55000693298282, 188.95422379814289, 192.68697171783711, 192.96679158816988, 195.4446834799989, 195.50376447330561, 195.60977840689992, 196.44914962320794, 198.33773334248187, 198.40449895534431, 198.58743090086546, 201.0469133091934, 202.77812612935108, 203.00380092233354, 207.73743603812898, 210.15169299217916, 210.20374077780062, 210.40995779007528, 212.32625494739725, 212.83257307118089, 214.34153053716707, 214.41777039052727, 215.7763974361103, 216.21490046676098, 217.35139194401108, 217.43763525603791, 219.20526470321948, 219.94838140206366, 220.13521432771537, 220.75107158079868, 224.07283730790761, 225.61895034926448, 226.40187686739972, 228.48190749667904, 229.17204729342916, 229.50943213076988, 229.97326641879104, 231.20646514515548, 232.08426241579994, 232.38747082967333, 232.55807895986601, 232.80133095938604, 233.44922132161835, 234.62426977187593, 237.6585335783615, 237.91431926213724, 238.34102849330122, 239.38117136246967, 239.59081787529587, 240.47633348450123, 240.6466659929161, 240.73080840144573, 241.95223170411381, 243.23337705375735, 244.26684062802752, 245.28037907609269, 245.31443912480097, 245.35436989908561, 245.70395711602058, 247.86860298854162, 248.99999981007974, 250.2749307277586, 251.50193231056227, 253.45312067447895, 254.61824897585771, 255.72572745913678, 256.82806903678096, 257.49141297156854, 259.10160891091982, 265.50691763707908, 269.50412912106054, 272.51444999396858, 272.55455005697223, 273.9893975469459, 274.08098201239494, 274.35294516280771, 275.03292052045765, 275.64326839918584, 276.45206349543326, 276.55270321149379, 276.76950613050133, 281.93648219574715, 282.76851792420678, 286.86500770468899, 289.13173048337956, 289.40665569603811, 290.32185332945346, 290.75964927811805, 291.25969227030851, 291.51074891871707, 291.6556953156981, 293.73007111259193, 293.8318221102744, 295.3748711578653, 296.35453573220866, 296.67822077674975, 297.35200570234298, 299.61814741428884, 300.80591673620893, 301.12111785017953, 301.71568996048006, 303.61389884193773, 305.1150941742041, 305.16308326884592, 305.67507626906411, 305.70194937666321, 305.89774691261891, 308.17710762605486, 308.84957037610417, 308.87673406323574, 310.97469718016902, 315.74372527099547, 316.2316094320999, 317.96706715626698, 318.85736473715576, 319.06566475428099, 319.09911586579301, 321.72667523514184, 321.84798921333669, 322.34171080595786, 322.47396796734415, 323.93704314995654, 324.34614742819474, 325.41290152341952, 325.5534371243059, 326.72216186864489, 326.9373294758268, 328.24203051671088, 328.26977865497076, 329.09379907733438, 330.12453949889351, 331.4553217013684, 332.25736737952411, 332.49007283183369, 332.9471760770428, 333.40442853331086, 333.57447637450889, 333.59903713787691, 333.81772972670529, 336.78988867763081, 338.17795216438503, 340.8968535850438, 342.20094678941257, 342.33249144719815, 347.00755833931674, 349.5796856471477, 350.58607881261725, 351.33067155367951, 352.11749812127641, 354.37152055913481, 354.66652175431909, 354.79028044700294, 356.55405355430162, 356.8600379115328, 357.4130836691271, 358.92538639066959, 361.37436741253509, 364.6488095184115, 365.09807251342642, 365.4431464576698, 365.46764325692482, 367.29185542468673, 368.10823436501011, 370.1162885179059, 370.14535373908654, 370.5592425698926, 370.93401141968894, 371.22496318905212, 372.15139270963874, 372.20157377676162, 373.59698253505098, 373.71873291041317, 373.94513492812655, 376.07030849815823, 377.56893596416495, 377.7642991408394, 378.38852615205201, 379.77165792933135, 380.76992381444444, 382.0969953151141, 382.64245868270166, 383.26149141222351, 383.40917864733302, 383.74119147049976, 384.19015351483597, 384.3180551428045, 385.31552950265905, 385.56676816818742, 386.9324638434224, 386.97349029947549, 387.83704322891043, 392.51518858504801, 392.60176665806739, 393.98824250004043, 394.87712649416426, 394.90871757524781, 397.39373930050141, 398.29424497668691, 398.48750165640644, 400.87105833877581, 403.66881096265945, 403.86735435603708, 405.00630474815159, 405.18655082436521, 405.85052609555356, 406.29653245037537, 408.03715006205255, 408.31854909317411, 408.68603844534022, 410.08617839871755, 410.27279050622224, 411.17267039033266, 413.3054080143412, 413.54823038532936, 413.95774768923292, 415.14194966565276, 417.81452446420627, 417.85076857537842, 418.12125820928208, 419.13443113740334, 419.61003802625828, 421.54730713148149, 421.88257803617512, 422.89370287999446, 424.21708496434519, 424.98139849473159, 426.63754036079172, 426.71017669102184, 427.95508628226065, 428.17034173113149, 428.7812886508267, 429.82802986376566, 430.62129424692262, 432.21929386697542, 434.89985723490213, 435.18778984387836, 435.80335419700737, 436.18595859853735, 437.39279885002065, 437.73522245079437, 438.00735280452091, 438.23719351674572, 440.02517199912785, 440.99560656138402, 442.28097944506692, 442.3278853442564, 443.58187444065527, 444.02081879046852, 444.1574885653705, 446.09287188240103, 448.67073559700214, 453.00352636027554, 453.90890664087152, 455.19282334499269, 455.3179016492781, 455.42739254234237, 455.93895464867518, 456.16101968661485, 458.16983601300774, 459.2411845169911, 459.75407164467305, 462.84529393572552, 467.06439578367832, 467.35822397790105, 468.14675264793965, 468.28453273866972, 468.51034398718161, 470.49893197974916, 470.55999999181364, 471.54399994380111, 471.85637636608834, 473.00468174101195, 474.48672171149326, 475.4777208371367, 476.9524773109743, 477.20223385655083, 478.63928369223203, 479.27487794805148, 482.02903153547425, 483.25551683563617, 485.93101438954051, 486.10330621743452, 486.16693657382848, 486.70800808953646, 489.86089380270727, 490.76883182918334, 490.99422741096822, 492.34333602557388, 492.83024097610485, 493.66042155334634, 493.81265188613781, 494.74494431021378, 495.48719379455559, 495.94793890961148, 497.45200340733567, 503.8472957212503, 505.11475627787098, 505.31376580570833, 506.20448807126263, 506.94056801482452, 508.89966772497587, 510.97339981037965, 511.3603206132596, 514.3281836873507, 516.24957338230058, 517.50700047419161, 519.65454121261666, 521.98516291183478, 523.67681648583687, 523.89007955458601, 525.46524692067271, 525.9259972558574, 526.4905438368254, 526.52996113497989, 527.0829927339887, 527.77991250828416, 528.11338889410945, 528.89520147471592, 529.457763314781, 530.55361694106819, 530.75742870710803, 531.58612840655439, 532.01470583661387, 532.75403305198233, 534.02051576635336, 535.01307939923129, 535.57292195346622, 536.30025258967339, 537.22625043770631, 538.44630461299948, 538.64712323543176, 540.74722353629932, 541.90191331054439, 542.29990641561778, 543.99518167035626, 546.77895546751449, 548.48057433417398, 549.64369079569724, 550.1840413828869, 550.36163346334956, 550.54983748904556, 552.78162119561023, 553.51950932314946, 553.69338322729129, 554.27478147184854, 555.63345795635519, 556.27287881625, 558.29876114349304, 558.68605510651048, 559.34166053265187, 559.73401925729752, 559.83235143931847, 560.26978217252167, 560.42478045013581, 562.38442355580059, 562.44883574799394, 562.98024620076217, 563.30208711264368, 564.42775855351545, 566.07177269226509, 567.59847205249946, 568.20124896796938, 570.24247439421026, 570.94186404300001, 571.20002608358311, 575.36481248568907, 575.85973154992018, 577.77841761280922, 580.2775032001806, 582.50454983595534, 583.05543685902398, 583.21966278758111, 583.94056987499494, 587.03002066639272, 587.61086299523015, 588.50095369019004, 589.35123227803706, 590.27863693948279, 590.46759789066266, 591.94839056611522, 593.18885199816987, 594.44581515600328, 596.22417479830915, 597.83667928529871, 597.93645111431829, 598.85136210920848, 599.0710408717697, 600.16743318164879, 600.6452473128021, 601.42778511244217, 602.29065118580684, 605.22870331997865, 605.31578688879415, 607.30939515158377, 608.59699958573117, 608.64968573157716, 609.40664049108625, 610.01270520157209, 610.45826237003178, 611.12684248283131, 611.23552131889414, 611.61023260288653, 612.09540118440759, 612.35744692524145, 613.26811339731864, 616.23459925065629, 616.57524527214423, 616.61953076952375, 617.05940885591349, 617.35763013703706, 617.58363151917752, 618.32455466366105, 623.48609048064156, 625.00077132584522, 625.311697419285, 625.3438101183616, 625.4215318299631, 627.2426546887101, 627.91099575730482, 629.48728797666433, 629.60959790984748, 631.541885816849, 631.77179986233784, 633.86654158722945, 635.66929412500417, 635.88651080178931, 637.60149496533836, 637.76097484751688, 638.60960370534679, 638.64205343275194, 638.96286026441328, 639.6321781425288, 641.64426931191235, 643.07210882433253, 643.5221330824113, 643.99858003538725, 646.75548867648331, 647.97677918148156, 648.1272270945218, 649.48439798407048, 649.76492646005761, 651.34400305710528, 651.66478551713078, 654.58252757070022, 654.77019744516508, 656.29244016684606, 657.3413904080569, 659.0382982586591, 659.92231817263416, 660.43703588040796, 661.49189958336751, 662.51600742381083, 663.97100579570986, 664.05279168695483, 664.73310475111498, 665.73019921666605, 666.69214376384548, 669.35785683412303, 670.74663009481526, 673.47360417845323, 676.02164502320784, 676.55732701163595, 676.9018388977056, 676.99900916961019, 679.79699116356949, 680.38151793754162, 680.52265432228114, 680.66126325825451, 682.93501152119165, 684.00934519270402, 684.70440510994194, 684.83231796703353, 685.27077678189301, 686.87574971923846, 687.51127467122546, 688.199098922654, 688.28033179174577, 688.62314079501698, 688.85854846372717, 688.97958128958669, 689.92709962702816, 690.0204325815896, 692.30760273022804, 693.05697031293016, 693.07978686612125, 695.3317017369892, 696.0184968041782, 696.47954357377228, 696.88808840006334, 697.25060939195123, 698.4931913348953, 699.4226289047524, 699.55990629575581, 700.77975620891618, 701.83093012647203, 701.89710094971213, 702.19431047610976, 703.45613515109585, 703.85678280799868, 704.15580859015131, 706.65317530213679, 710.00166310897089, 711.42445100567102, 713.95378294704619, 714.40518527393431, 719.10514313424335, 721.9631205832369, 723.95022863122892, 724.01137978285874, 724.68071434937417, 725.03410879667206, 725.77025966987162, 729.48537336257675, 729.68634291123328, 731.22581125161025, 731.53681326263074, 732.24077581156291, 732.65520719106712, 734.20355746746668, 735.90681203077452, 736.62183389484289, 736.80997202891797, 737.01260148964604, 737.03716760574332, 738.24184502556875, 738.5829498928922, 739.8573731345225, 741.98170645620587, 742.54267069696391, 744.54851393435683, 744.80612090617842, 745.07355069058997, 745.49382598262832, 745.96212523544102, 746.37514266664311, 747.95573116108051, 748.08373379319448, 748.49723014093945, 748.95202736664498, 750.69321770774798, 751.08620519339217, 752.41810117421983, 753.99126805639685, 754.22938400795499, 756.33978313252032, 756.59872995351247, 761.91431356869509, 764.72738374704613, 765.50752983141524, 766.04454022629136, 766.406107124973, 766.48599867135704, 766.58498356703979, 767.32483101149512, 768.05771578952829, 768.29288685668428, 769.05921912900715, 769.48646638735238, 769.98598120893075, 771.2281313195233, 771.55812475048378, 771.81935069118731, 773.22234818302218, 776.84829870279236, 777.06722130561616, 777.36874807145011, 777.48178075750559, 777.71062267338289, 778.02108995189963, 778.15674761045864, 778.71233341377115, 779.39865246338445, 781.59867584414849, 782.59731830720295, 782.64374170910833, 784.32721555830585, 785.25628989712345, 785.29604807036924, 789.06050578326153, 789.14783475385502, 793.17280626762442, 795.1836484096583, 795.35547372733367, 796.0646848832356, 798.4734656719412, 800.21983525496285, 802.56870671794411, 804.57979635756044, 804.79304909794018, 805.1726747335922, 806.76187170333969, 808.58592370149245, 809.96509062772873, 812.27492749678333, 815.71934476839851, 816.81677407924542, 816.84693119705719, 817.88971829216018, 820.47710169119864, 820.91300919344326, 820.96879922251276, 822.11674241095886, 822.20605896018503, 822.27451399597589, 822.60093400517451, 822.89714864805819, 824.31063953956664, 824.9746331860548, 826.33601848666729, 827.91555528138031, 831.21155874815759, 831.47901662236666, 833.77525380802717, 834.27777403398659, 834.93976498285861, 834.97161293608349, 836.62918136956569, 836.84752401494541, 837.17710240798988, 837.90505779624823, 839.88480738235683, 842.03181953877493, 842.83639440058209, 842.99101295134585, 844.49668076141404, 845.452014377193, 845.78004726195468, 846.03414895179503, 846.67667756605852, 846.69740597558234, 847.14503201934099, 848.46372140308563, 850.76163884242271, 851.30965545355707, 854.01227797947047, 855.66849867567248, 857.85636872447105, 858.07965489184892, 858.229958039184, 861.41246577163622, 862.57391772896187, 863.82641254008865, 864.94035894166552, 865.34222462914227, 865.71953614662152, 865.93366233735117, 866.81611862433454, 867.30615720804576, 867.36153565692405, 867.43666019081934, 868.98227902226904, 871.58251841439028, 871.68452398618342, 872.35190141259898, 875.22489752487706, 878.05420541961985, 879.22582214014767, 882.37832481799012, 883.58527142876108, 884.99265115133846, 886.11773323289754, 887.73840972164294, 888.11850573026231, 889.23425764730644, 890.87495792681921, 890.95243951825057, 892.91181430046913, 893.50232126814808, 894.01037632023497, 895.19990879160332, 895.89560203770827, 896.28390148916503, 896.65708669155697, 897.45790793228753, 898.35441612179113, 901.31399106760284, 902.35694060246306, 903.10205957548703, 903.71452119562457, 904.08269776824488, 904.17424541837522, 904.24644423800555, 905.20609805231561, 907.50082007216417, 907.54188140350209, 907.58467987420636, 908.11923720771142, 909.04367017184234, 910.66669184083059, 911.77320558467272, 914.01809185070329, 915.91128575832477, 916.47220226079139, 917.58347917770834, 917.84666144288133, 919.40076573050328, 920.3840854790883, 921.01753852971149, 921.68374405136524, 923.36354681058117, 925.02600054845914, 925.4902957778479, 926.3331425995151, 926.8161908952361, 927.66704233416101, 930.77177336750731, 932.8498868108519, 932.94064169582623, 932.98053514521985, 933.54797950492366, 934.30968100293137, 934.37873402213029, 935.09569367533231, 937.76124617803816, 938.9353017468062, 939.40573260826307, 939.84927603552001, 941.26944828107275, 943.03830543695381, 943.5810782031142, 944.0461795674679, 944.43078861202173, 944.86191585954998, 944.8876854323795, 945.33136987518708, 946.74819812406452, 947.55741493027199, 949.0358202130958, 949.75982815204316, 949.8245189423485, 951.25694216550971, 954.3168094658372, 957.55805574933026, 958.06011204334288, 958.51555559722112, 958.55788466488139, 958.58404274272493, 959.84046761195918, 964.58344476047023, 964.85561530739972, 968.17543322084452, 974.69234769554828, 974.87099896302857, 978.33588005484899, 981.49458736116935, 983.6974148824346, 983.77081442166377, 985.55216477348552, 985.69844867544202, 986.37516361900202, 986.70843253760881, 989.18251305977128, 989.8081013892081, 991.93000385707739, 992.83339746584738, 993.33680610333931, 995.22079408137392, 996.21745703249667, 996.61692738989893, 997.23071297705485, 998.60598557105629, 999.06084507642038, 999.14451066198262, 999.56483776359221, 999.79431674837087, 1000.1269086146682]),array([62.830432168796854, 63.640523728655708, 65.504778692603111, 65.574329305386982, 65.615246357802349, 70.96379964813373, 71.216373786864963, 72.208740641321754, 73.879565938406117, 75.884925195807782, 75.949575245539648, 76.36153478381047, 77.3643473834953, 77.708432827252508, 78.165016517115291, 78.888439461594373, 80.183776105615024, 80.417276509679951, 81.223033116666429, 81.834434847676448, 82.397785302475128, 82.715052577236335, 82.791047861975002, 84.995598266120368, 85.300272424619905, 85.532051138213092, 88.595923911535749, 89.384121383830774, 91.317342438368286, 92.481788650738352, 92.81483980584602, 93.443070080516961, 94.485052795689469, 95.949450713407188, 95.994709372019429, 96.143485438076283, 98.115811834254202, 99.206055951248075, 99.482579042783613, 99.636591198985215, 100.01941109377077, 100.16335156819622, 100.56618135360145, 100.58911295927301, 101.67401658314034, 102.18080992577143, 103.27927992184293, 103.53694639805525, 104.5296238659174, 104.60646072717594, 105.9928435894728, 106.03755959465536, 107.7884372708143, 109.7141824664799, 109.77403550303809, 110.16394271541155, 111.90588922261279, 113.84609105054, 114.72303066273426, 115.16643500961456, 116.13944701065518, 116.95265414605075, 118.10090575423709, 118.25415289015857, 118.87806342379901, 119.48148728475502, 120.06643563504311, 122.57167427462919, 122.70158359009386, 122.72642630318084, 123.66851147601757, 124.22737952762317, 124.70319646180018, 126.72420772686729, 127.85275996534332, 128.25005484656276, 129.18576111390809, 129.68518277941109, 129.81162904377348, 130.19591097001378, 131.3675071228852, 131.53166367748645, 131.82934406392482, 132.04883139668627, 132.10899670501919, 132.74659375960246, 133.69931196870183, 134.16125264564118, 134.31357930721234, 134.41880184978149, 134.54878064274453, 135.96992043361016, 136.94188693270186, 139.14463171014265, 139.91947251779715, 140.4736734606507, 140.58065720840776, 140.63943729403982, 141.78270261329516, 142.25375167095552, 143.56444064198479, 144.53601869322051, 145.06992424968371, 147.21710841867463, 148.35098963978933, 148.53549094677433, 151.2574517354528, 152.08446238102161, 152.44466158105678, 152.61642655685438, 155.34027730007347, 155.71511944213304, 156.87505869800623, 157.81991946313036, 159.73859378591879, 160.34574466708702, 160.84055478668841, 163.43475336399524, 164.01980333446031, 167.27911496229157, 168.55302073715771, 168.87163013620088, 169.09252407236767, 169.33425643447177, 170.26356144159777, 170.35617136498257, 171.66181010895195, 171.80857182520003, 172.43038182528255, 173.9376769770744, 175.53758320611027, 176.94321109459503, 178.49510525186477, 178.99448399727993, 179.23859354493237, 180.82019056049063, 181.25055032594986, 181.42932068548251, 181.94434387145634, 182.25983428179148, 185.87094753392816, 186.37973935899583, 186.42043037413376, 186.54329310811625, 187.28787964784283, 190.01584718569714, 190.16390852499831, 191.27599070307579, 192.3010149722783, 192.41496213087262, 193.59122591413535, 197.17774690506707, 197.23056260418036, 197.25863000928439, 197.31295028959104, 197.8462719204756, 198.91352408374343, 199.19698347560688, 199.45456031228167, 200.65613226474056, 202.882553422895, 204.13064112420577, 205.50582911188823, 207.49289369543465, 207.98447184623981, 208.53575264884694, 209.21526856658386, 210.00235243122731, 210.17178750768562, 210.50513416161212, 210.57846051345669, 210.82879022808464, 211.031802999326, 212.3032325076519, 213.19834922779526, 213.93561056248126, 215.01891399470983, 215.4275657596032, 215.92401724847201, 218.85508853866673, 219.66410885584324, 220.50757518803266, 220.63450973460039, 221.95676802307395, 222.52910943090168, 222.89341133007071, 223.39285648679956, 224.07773684138922, 225.68944095150115, 227.41141041778798, 228.58313754027719, 228.87803683860716, 229.99655546635589, 231.13104241113189, 232.05973605610481, 232.59865725982036, 233.16784068352686, 234.43557642836387, 234.48910448555267, 234.59092225775342, 235.60336150377466, 235.64474932986457, 235.75360756161712, 236.11672476117459, 236.67416153550823, 239.11555666274455, 239.79098332453938, 241.71250404100635, 242.77114447945667, 245.75957098717885, 245.83075963999212, 246.15878888206475, 248.89809930294743, 249.85392832070318, 249.98033461170496, 250.47691251428151, 253.20408777725723, 253.40841043514749, 254.42988723338033, 257.36460439155923, 257.83592091603771, 258.04264021886792, 258.40490741461787, 259.40919833856896, 259.55069671303562, 262.61201129949939, 263.06152490210104, 264.51655960810677, 264.77427672065323, 265.4100032311996, 266.72511217340218, 267.01821187517248, 267.7012240162623, 270.21183423780741, 270.24261001107044, 271.00612748729822, 271.97592560501869, 272.69703708477539, 273.72493691719183, 274.29369744468073, 274.82552230753083, 276.86664304302269, 277.45925967113152, 277.62486478660134, 277.90578767519685, 278.19093909459076, 278.98718635406158, 279.77705554805101, 280.65967655757316, 281.21046130093066, 281.50729807862473, 281.81542071032823, 283.73875529794395, 284.61091736552976, 285.64113159816884, 286.60160156435404, 287.6129478950304, 288.21920594531656, 289.41865352788903, 290.51119706018898, 290.99210280155137, 292.25266348998736, 292.61297491032116, 294.02998142369063, 295.6347183342582, 295.8120423486626, 296.17640882392124, 296.27631092911975, 298.363629991496, 299.91809191295522, 300.07152067188599, 300.35533691240602, 300.46176545213041, 301.86736526484788, 303.09211231562801, 303.78561137348612, 304.23163317215472, 304.69288150503593, 305.22397940928414, 305.39423781389695, 307.09702024389748, 307.4155549567995, 308.21582690322577, 308.71704621759784, 309.09135854527773, 310.35166008401245, 312.61510905924575, 314.14588475235468, 314.56909743895449, 314.79800953302419, 316.45348113812946, 316.59743258811676, 320.29894805024134, 321.08540473190885, 321.16148769825469, 323.22588410125178, 324.43239008249327, 332.07955856638193, 332.33099915355882, 332.61631299981184, 332.91093879639521, 333.43114948003273, 333.81032774025198, 333.89515326322322, 334.47003798218566, 334.87581295582754, 335.54698676890729, 336.67053518576046, 337.02300607980294, 337.87501498648106, 338.34540212534307, 339.13130443958613, 339.28790985555196, 340.08285409774771, 340.24646993125492, 341.06948073089944, 342.61564665303626, 343.38586758871247, 344.01214854394573, 344.82264317632342, 345.51910439567558, 345.58118748568029, 346.51930530995793, 346.82074447730281, 347.2232802674431, 351.76131754374768, 352.02604534888371, 352.99035457140269, 353.18345296980885, 354.14191788605427, 354.59816295451805, 356.56506226455127, 358.66634255194208, 358.7833481376702, 358.84778218384002, 359.03292439390691, 359.51077333019254, 361.70413164092247, 362.02212014141674, 363.19108353289465, 363.38212152351394, 364.59713022360143, 364.86113352229478, 365.83722278188873, 366.79969729734933, 366.91125930670631, 370.01751855320617, 372.04867583117732, 374.70279003644504, 374.81670663133616, 375.34738704836042, 376.35272097809479, 376.3945642529485, 380.86237875728239, 382.27113282660622, 384.72746756470559, 385.41217935394621, 386.27012648452717, 386.75399525859024, 387.26521401050184, 389.61428169341167, 390.00404987879864, 390.32799913012713, 391.44348090894727, 392.14058259031265, 392.38929170837611, 394.53293770181057, 396.11777531396336, 396.72686059106269, 397.17710821136205, 397.88604257376278, 398.90347656069156, 400.20743811670036, 400.53322451539503, 401.06934108680849, 402.10155997326285, 402.66644079118083, 403.54484532500737, 404.66139017979032, 405.35278288625187, 406.29137218787071, 407.21684135162877, 411.362555309019, 414.1234352653405, 418.81689102939936, 419.33686298574156, 420.13226727565916, 420.60613088063701, 422.64150722711469, 423.05610296226808, 423.46527576905021, 423.58078055910903, 424.95952361752592, 425.80680877132664, 426.20615940317333, 427.57059031140142, 428.34660369323177, 429.42393448868773, 432.19540351194325, 432.96980435293943, 433.67144094654657, 433.81882074630818, 435.49363188138284, 437.48779967720162, 437.75634415272242, 438.92701911930396, 439.12312799949018, 439.20137157231449, 443.6858887803773, 445.66607615424493, 447.10883669942069, 448.73532797519516, 448.98268668081596, 450.50622589358176, 451.93937736891962, 453.81424446459624, 454.73596924183533, 454.9571780264481, 455.64104432828924, 456.02013562364891, 457.57912665832373, 457.68846750879845, 459.26108708257186, 459.55785647123946, 460.63470240983872, 464.9000581081707, 465.32283031744169, 466.62215882567062, 466.87826852547636, 467.56899143303099, 470.19467536474701, 470.28903967989885, 471.67156001190324, 472.16223122083761, 473.44095587980405, 473.76483977418178, 474.62241986571377, 476.59923555537443, 476.64289886552513, 479.7047339390698, 479.81981042922376, 480.5248003574103, 480.80049179702763, 481.31349834880467, 481.76157575115565, 483.3870387305023, 484.43479406732405, 485.29791197557142, 487.93401343337422, 491.56236109350147, 491.7584258664005, 492.17140543034265, 493.40067427495495, 494.44833802933903, 494.5087409762175, 495.0359283786222, 495.52985578965956, 496.05021336561714, 496.21883716758771, 496.91237407050238, 497.02989541464206, 497.96552858908359, 499.83136827160257, 501.76446836164592, 502.13445480185374, 502.78471554290724, 503.21599977470493, 503.81083637775237, 504.02832539703809, 504.38628382212386, 504.60018110654875, 505.29275420198803, 505.9907662606966, 506.46361268286944, 506.7118249460961, 507.64323979993782, 508.13820646924097, 508.88659288505704, 510.47700649426537, 510.85594777414019, 511.4979505971466, 513.88962547850167, 514.760692545349, 514.91475903881724, 515.09988331373552, 515.41394059896061, 517.31603321712851, 517.43457560460752, 519.76055953628565, 520.78000284070504, 520.88110498942933, 524.11190763511343, 526.01601764761449, 526.1842944822879, 528.45461383509178, 528.78359928221187, 529.17752751136959, 530.7923979140196, 531.24594586202943, 532.42856896877834, 532.5635830279623, 532.71347619278833, 534.04652898816323, 534.3082371646733, 540.24411931261398, 544.27197418147159, 545.24952685100675, 545.40988529391586, 545.97991425994212, 547.42850402023817, 548.8102961440311, 549.34865460283788, 550.7484546085102, 551.47038199206986, 552.21345630479868, 554.80367612535508, 555.64412376899281, 556.12267590936142, 557.19578259200341, 558.43562663649595, 561.164404654598, 562.27735656954133, 564.04281268653881, 564.23161526099511, 565.64365373531962, 567.04142656316901, 567.10447384790325, 568.5705838530339, 569.1700543398166, 569.68221504823998, 570.12615481180194, 570.21201772305631, 571.82512880807974, 572.82873636812428, 574.14089749741845, 575.15326756699312, 576.35744087488138, 577.17085613630843, 577.69651393787615, 580.09256432582606, 580.39485202180742, 581.05259866537222, 581.73495837208975, 582.20648157861706, 582.8408037538145, 583.45786603641147, 585.35669919392944, 587.3003218209268, 587.38568453894663, 590.86909049473024, 592.51744918807265, 592.81493802351463, 595.28439700358115, 596.4867876176902, 597.7136501527774, 598.18261313437472, 599.3322693859343, 601.69608194986904, 602.37934375434918, 603.95683673502776, 607.08699765465929, 607.34791516877112, 607.45394903332169, 608.21649066066698, 609.02327486049353, 611.23468109441478, 617.54720917086809, 618.16731662855, 618.8215198462799, 619.79146661267077, 621.72525286365067, 622.23174879783562, 622.46510441029875, 622.72342971314993, 624.57170271524342, 624.77316295711717, 626.93383581987177, 627.83467102039401, 628.13637717528411, 628.71614750133074, 630.24010035389006, 630.7318141842112, 631.57789523246493, 632.4183536414846, 633.4891622596532, 633.70463622497118, 634.27339390421776, 636.46425685610131, 636.65504578512821, 637.66725231397993, 638.01897387023735, 639.72154525955909, 641.70970289719776, 642.1207368216875, 642.81229713878645, 642.90179973369789, 643.12041456211102, 645.65316311570291, 645.81157179336356, 646.60564587112765, 647.2405813933475, 647.70447361326114, 648.92508246863929, 649.21107532996587, 649.86689552848895, 650.89197264248992, 651.56916465159725, 651.63447473182146, 651.65529999443606, 651.83446228395258, 652.14349311945966, 654.33621987467791, 656.4608926839777, 658.01752469872008, 658.47188844336608, 659.03658902895893, 659.33273683879429, 661.45598548319754, 662.09948396580671, 662.5986659087896, 663.17005658161918, 663.52533905822008, 663.90271154024583, 664.32472814682012, 665.39962223998043, 666.14012450640962, 667.64070912406169, 667.90832803504668, 668.91656589110994, 669.00642405639917, 670.00131970798691, 671.55947334689176, 674.43295463801303, 675.82133733255307, 675.90189649525325, 676.37559738227151, 676.57685115671177, 678.05972709002617, 678.66422533723437, 679.64643812292684, 681.45367156309396, 683.88086535162495, 687.23453621640101, 688.08343977435288, 688.98715847571304, 689.59222155650139, 689.76351653028019, 690.98145884390487, 691.8134696399992, 692.53610255187505, 692.97146632184126, 695.20090926232695, 696.08300570037966, 696.44001715114541, 697.26185798479605, 699.36675555300644, 699.90722879764701, 700.65485037161477, 701.71304721399144, 702.21659564455297, 705.68874492496934, 706.4570378497715, 708.2443048529575, 709.85824119163181, 710.82287544084306, 711.05594390088197, 711.90199082305799, 711.96178878248611, 712.53519244111374, 712.59523735291828, 714.08645390867594, 716.71198659044228, 719.58623575105776, 720.98397226403131, 723.63856194502455, 723.94860841587172, 724.57224357716575, 727.20766073389677, 728.09180519279289, 730.74327437048885, 730.94641890662501, 731.81189557634696, 733.66995526039022, 734.31102012714962, 737.51335009720401, 737.70439694809795, 739.57884374682999, 741.38799089278723, 741.60599557932665, 742.54716441576238, 742.57268488662373, 742.91246463205016, 743.0554000942933, 744.54448580326562, 745.85999738053727, 746.3346952226849, 746.62561314939489, 747.81990287194253, 748.92917845213015, 750.93139155459914, 751.7377293246542, 753.31566478530817, 755.55105540668114, 755.65498645663024, 755.77068115550435, 757.00484852676811, 758.54524648164966, 759.90831615918398, 761.15468702820294, 761.41889285573473, 766.85764817149777, 767.47538088115323, 767.74332786217667, 769.53405027235135, 770.91671383451421, 771.45260070428185, 772.36347854310884, 772.56469289238839, 772.93656313953022, 775.0706059935867, 775.82606260085606, 777.02889657575065, 778.19384576949369, 778.57825043208277, 778.6067729616185, 778.79556906847802, 778.99020406328793, 780.48786256724395, 781.25972488192133, 781.76275574890042, 783.50394698514208, 784.38030174107507, 785.18757891885093, 786.95916438554082, 791.20449091185537, 791.80007390313949, 792.19689425727245, 792.25968182510326, 792.60338691861182, 793.83243813626837, 794.80891844299526, 796.0083627210513, 800.29468884909238, 800.41925596660906, 800.97706907944553, 801.32514410771125, 802.06212839640546, 803.4823056779768, 804.02256884995359, 805.92317305463257, 806.44557269199436, 807.21453346900148, 807.72974260748344, 809.37949529853665, 809.51936519729725, 809.87143125333387, 810.47547586673704, 812.15493867769499, 813.43890209024107, 813.68068740611511, 814.18740965330824, 814.57155705526623, 814.96055900873603, 816.04169775330638, 818.38997394222883, 819.49456162018146, 819.69524946886293, 820.77397364543663, 821.25783824309349, 823.43426166078314, 823.57330923478287, 823.76233488426806, 824.2432276987746, 826.67274779784316, 826.85776761785712, 830.78595110465153, 833.81027483790808, 833.95230969268528, 835.71392722346809, 836.09168551242135, 836.55370011484365, 839.17171028198266, 839.84345406827276, 839.98294906379829, 843.3861641932757, 844.08345384126756, 844.35239602795718, 845.84012490853092, 848.40476146504614, 848.7602316811259, 849.93869969145055, 850.26045201411637, 850.68823234959723, 852.60416229030204, 852.92422710139761, 853.01534022751571, 854.3246541191138, 855.24197158677453, 856.23354526943604, 856.31902946806042, 858.99145991674879, 859.18213243669447, 862.69139781038223, 862.85678641228981, 864.00392122249843, 865.46459938745363, 865.88070838754845, 867.80506568057615, 868.02825943863024, 868.05695924804786, 868.78398228997776, 869.66339504942448, 869.77290865781004, 870.21671805778476, 870.53075935422123, 870.60796994245163, 870.9797689040206, 872.77555423642673, 873.23570601345182, 874.36670033681162, 875.50727972797995, 876.21347529200364, 876.5760474308604, 876.81742639287847, 876.90449421360483, 877.16593651592143, 877.73135590757408, 878.29982519477835, 879.07179659051621, 881.48039099619052, 882.91683914699342, 884.41813350794666, 884.45749708935512, 884.57953065676497, 884.83355618736618, 884.94562256900997, 885.30784389096698, 885.35305286193386, 887.22358835371449, 888.26041123727259, 888.91015964464191, 891.89281125060586, 892.68509453726517, 895.4864225830022, 896.17637424691759, 896.70922990051668, 897.33846917729591, 897.89438809984745, 897.95792417657219, 898.0608134964292, 901.43860609819865, 901.48693215905359, 903.00651140834827, 904.88728678019652, 905.16450861285625, 906.61267227371604, 906.67422877794309, 909.36226387359011, 909.53163542512482, 909.61681152122878, 910.63272071479287, 911.45389387122475, 912.60597272723669, 913.92195737286238, 916.52443869488036, 917.09881010197387, 918.69233265695186, 919.72346558073946, 920.35793260758771, 920.53665635295147, 924.59971088192253, 925.23823248902374, 926.07858003937383, 928.18739178117721, 928.55175251725154, 930.68478972056243, 932.98474751379888, 934.11578859897429, 934.54066777355786, 935.59482175147502, 939.53384476058216, 939.74317842037658, 940.13597544782749, 940.67028388983977, 942.85791176601151, 945.24789862957834, 946.14600653193099, 946.26549678999356, 947.84816668514657, 949.29412923117297, 949.36190724859534, 951.93460430201276, 952.79971735877871, 953.21286518395152, 953.79324906068609, 953.84997703391116, 954.89524222822138, 956.17545805487919, 956.90651073210233, 957.59654383038674, 960.91975919449453, 961.01745744209768, 961.79479194433429, 962.54980124647864, 962.75394830559253, 963.3213755392336, 964.29456616724781, 965.42388869708248, 968.40307643177232, 969.83243934260327, 971.00816980489822, 972.01172362459783, 972.41656175353944, 972.67999265775086, 973.009096092346, 973.09378921527889, 973.93530907374645, 974.14379831332849, 975.11476767377349, 976.50553689244816, 979.26487586439464, 979.76529468997546, 980.62130009768953, 980.6782475278543, 981.23088693276054, 982.71055117298374, 984.95585676273026, 988.61233407587315, 988.75066716869833, 989.00710897690089, 990.19760300699636, 990.7642803295596, 991.02611150685561, 991.20458822632008, 995.5319299970364, 997.11838527318037, 997.3143145025598, 997.89808962488917, 998.01420650298144, 998.52043501214632, 999.06490831658277, 999.69147579993955, 999.96885566140986, 1000.7397604314498]),array([77.966244660941015, 78.636771050201801, 79.657173293273928, 79.786132707404619, 80.93528424342928, 81.096321992635893, 83.076614553132572, 84.116949498328211, 85.941212039795801, 86.941153850709, 87.346115120590213, 88.133103689146608, 88.190359123355321, 88.214106250196338, 90.497435105500116, 91.756379243443376, 92.406880151983216, 92.773925428672229, 94.7330288102319, 95.383158895984693, 96.551303779290009, 97.696675474286849, 98.558918750904525, 99.178839902605574, 99.980947541215627, 100.80683360745199, 101.57097106944555, 103.12726250766775, 104.31149038843697, 104.76135006470757, 106.75497420011904, 107.68902707841742, 108.84130785830732, 109.58140052283494, 112.12952814820305, 113.22966602522398, 114.23694445104599, 114.43071288255675, 114.83363368850218, 115.32396853795407, 115.61451409958744, 115.70228987700401, 116.2503000478267, 117.01480631943505, 118.86718560579999, 119.62343298285519, 120.34875955401775, 121.40644712677863, 121.58099366160283, 121.96292141899148, 123.21460795657953, 125.12026039165845, 125.36026706515256, 125.57347793689397, 126.04921438088017, 126.54791045048884, 127.04460888488526, 127.34341654737699, 127.96275175145294, 128.64049134145989, 128.67610930992038, 128.75621054127686, 129.8217525408073, 130.52405065933232, 131.25062695680575, 131.57131925182401, 134.94866490945682, 137.98525741261449, 138.50036612856732, 141.10252200722243, 144.74685396621695, 145.51401289996033, 146.46707157943956, 148.10060835964435, 148.30380659251037, 151.73705125591647, 152.47685381367722, 152.80097529417921, 155.2418305165734, 157.65699631822596, 159.61744814738248, 160.23135953457768, 161.18636923496743, 161.69673697847935, 162.8488021833941, 164.70925789944422, 164.89855047181146, 169.10467440386583, 170.73601590961383, 171.20545840891867, 173.4273269572557, 174.49729107849146, 174.68728648758025, 174.86958555756968, 174.8961475781224, 175.57700355431513, 176.72147231552114, 177.09516996256468, 177.92817351849766, 179.70462086340171, 180.65374592599605, 182.30401496343819, 183.84478280189495, 184.23851869517884, 185.84272485818389, 186.01619598411287, 188.17448375324832, 189.70522368798811, 190.15092566816691, 190.99582745176482, 191.6393606237595, 194.04850963136886, 195.96666265324367, 196.65933427483552, 198.90295481202907, 199.05159685633393, 199.56077600111388, 200.22111496871321, 201.38911580062523, 201.70866640075781, 202.20916611900827, 204.94803890769668, 210.50284150980664, 210.60399746695592, 215.04608971100652, 215.16008242668116, 215.67944642528931, 216.74392415008941, 217.08170265568009, 217.49121996899288, 217.69441337583223, 218.08184107380532, 218.24579666663638, 220.35542172547531, 221.1466701790859, 221.63010247773173, 221.88399032887693, 222.19205828982865, 222.68341755548914, 223.7761874003985, 224.66899161744578, 228.2864382984672, 228.54962678694852, 230.41200607200267, 231.08994756764776, 231.35127396766362, 232.09492365754971, 232.49983692017906, 232.67655576951961, 233.44480694324454, 234.56488473841713, 235.39993906638151, 237.17238708321153, 237.2842920227074, 237.83235078234461, 238.76224005060976, 238.93046622487458, 239.97086945465614, 240.09805523941685, 241.24050549278425, 242.27124923828148, 242.77588224588254, 243.35939841799231, 244.51360512498786, 245.46224355720955, 245.77751427813277, 246.14673158145047, 246.96657250816898, 247.06114714967342, 247.10009069458596, 249.86818636609789, 250.46602231018619, 252.35618846662049, 252.40382475614038, 253.09368376652344, 254.33073954913311, 254.41859578228537, 256.25262673550151, 256.3873691727913, 256.94497919981615, 258.66167345027054, 258.92431158488273, 262.42796347162272, 264.6359186034, 264.99116106874692, 265.66807731674834, 267.52314404590464, 268.29844499745661, 268.37905207331966, 268.84289912252427, 269.03054077057175, 269.05646170966821, 269.92629581637084, 270.98096296748417, 271.03245779794776, 271.95376058872131, 271.98451136263253, 274.14944721297843, 274.81432058999661, 274.87417456990693, 276.24392559575438, 278.7241615924317, 281.21047685861657, 281.59427573842231, 281.64853635935168, 282.0509960673262, 282.12305450358775, 282.92739612608739, 283.27235077668519, 283.87874564087821, 284.39459348155032, 284.56867809731887, 284.88924066324063, 286.84432563791307, 288.58014100564935, 290.26452316249311, 294.80827241233806, 295.57993166086743, 296.45499861791632, 297.43159774959105, 297.51741619956664, 298.76186306361325, 299.81009190699808, 303.02089037742945, 303.82222882409036, 305.14204401688107, 305.70105408932346, 306.88694830218134, 309.07576982052421, 309.78190352975452, 310.21197869768309, 310.59987328573231, 312.25913382030268, 312.41728588466867, 313.72625249296254, 315.33355977244588, 316.35849390727697, 317.42724418408335, 317.76283420423107, 318.38303597926563, 318.61422672916927, 319.47729092135614, 320.00740743326048, 320.41502614692826, 321.01863996677071, 321.12415234856201, 322.32689584362589, 323.79162422258457, 323.9923787329468, 324.17167185582696, 324.34064882974729, 325.41894514810491, 325.51120927077949, 325.83323353339136, 325.93584683314657, 326.23804721085543, 328.14058387917203, 328.19328065692486, 328.2503011335703, 328.6958370439819, 328.91758373212286, 329.27827938590656, 329.53802598031865, 330.36887163265982, 331.75759836561321, 333.65272392866581, 334.1039597618219, 334.78821398872793, 336.18265617565874, 336.79555717781381, 337.22620135902758, 338.02941250580432, 338.81468931235747, 339.42317760818804, 339.73543086419369, 341.1322834790875, 341.28268464186681, 343.25343465759477, 348.64405470864256, 350.07565948478225, 350.16637739034201, 351.29248506452433, 353.33020313194453, 353.72431857072706, 353.75721504705757, 355.47654217366045, 356.40958172906386, 358.0860615040184, 358.2033351837041, 359.24292597399722, 360.23649076350745, 364.44540677063759, 365.79386677530465, 366.79726784768536, 370.38163844068288, 370.96907094570156, 373.70418258390043, 373.99249845564225, 374.20645893278208, 376.60555162062349, 378.32485770373916, 378.70974798366819, 380.46895696841642, 380.72926754888726, 381.66981756240131, 383.46698211952452, 384.61842378788941, 385.28313065364688, 389.23635478099669, 389.94242670989951, 390.34800839345036, 390.62013257682833, 391.44542611810203, 391.98072343426924, 392.3310960837232, 392.35246971982599, 394.76549668269411, 394.97728150185003, 395.15768879502986, 395.87895814424098, 396.15930064820827, 399.20024858920698, 403.02323768605794, 404.41578389011283, 405.10301658213842, 406.53135150731839, 407.33656837661556, 407.80306146941217, 408.76316300028816, 411.70592757689172, 412.44956779203039, 414.73448770654005, 417.52627262883624, 417.57230567652908, 418.11132789477722, 418.89320584373797, 420.85665748761829, 421.32562558572477, 422.19704183410238, 424.70115709667959, 425.13340034446918, 425.39249580160134, 425.54140927264842, 426.06577085010082, 427.40923391587609, 427.63078056513382, 428.4523778239091, 428.75671002642736, 429.53369773155441, 431.06155591739338, 431.23021727670283, 431.53728726424566, 431.95392023531855, 432.98311644274372, 433.21529413039605, 433.55276406927771, 434.92647640102371, 436.17286781901385, 436.4473968267443, 436.79388076779435, 437.21801242771664, 438.454858763613, 439.6813348598962, 444.21777816402283, 444.32520640285907, 445.63896914767139, 445.85492485145744, 446.29452974504721, 447.38287723159698, 450.41909619110919, 451.10835500493204, 452.17038691835552, 452.62287244895032, 454.75662289531419, 456.4989097295836, 458.19652174215923, 459.0637168558934, 459.77392113696141, 465.16009748123702, 466.09531215300109, 466.38070125387253, 466.64703607251784, 468.27546244901174, 468.45424247006156, 469.69484514849967, 470.75086685288198, 470.96366460759936, 471.35228510484222, 471.99108945463337, 472.89896696395823, 473.21890936023198, 473.47786876218453, 473.94232584688507, 474.22973571500785, 474.28277050535235, 474.38345203207325, 474.48435027844238, 477.35746627079482, 478.09181850333641, 478.14770911878043, 478.55175480740297, 478.60326457216166, 479.16700343618248, 479.24877964060795, 479.42916006572375, 480.76638136381752, 482.80623338689401, 485.14179912719618, 485.61613877759015, 486.5796142258788, 487.86160909003468, 488.0035205208564, 488.32680283583016, 489.47846185372526, 489.63989024218228, 490.26312031344747, 491.07074453134629, 491.74784117757656, 492.0886484116852, 492.35486777273326, 493.05916403970195, 493.11380899856073, 494.98445363487872, 495.92316381340402, 496.62927592767983, 497.82384080915244, 498.26705462697072, 498.66734025870176, 498.89749701905845, 499.88362318474839, 500.08902067897475, 500.82510368704146, 505.50519803288796, 508.95027207563936, 508.97303787348352, 509.16419632105965, 509.88439320869963, 509.98729042176882, 512.81935804953332, 515.29607148625951, 517.15933958284631, 520.73576183578598, 522.30951464256395, 522.39200782041235, 522.78967240983286, 523.28236791593861, 524.17896242845529, 524.54303911406635, 525.89121938469839, 526.85815569125248, 527.18874287249207, 528.70877554202491, 528.80568471711524, 529.28221300609027, 535.93159596697808, 539.28608087717623, 539.4244227170542, 539.56337811193305, 540.5577841382443, 541.75763678342639, 545.09256651516569, 547.26407269011463, 548.69894424704034, 548.8276670486332, 549.14059306027559, 550.56540113260849, 550.93900538148876, 551.84790032093508, 554.91279528241694, 561.99053541702142, 562.19273443387806, 562.4065711052499, 564.00779098146586, 566.1602104265055, 566.28017221281084, 566.57579970226288, 567.6625344109043, 567.82955736809265, 568.59303713766212, 569.53262414416554, 570.86156815132097, 571.9177947312171, 572.24568650906906, 572.28062938018525, 572.61247868442456, 573.21012176924751, 576.19750889119302, 576.39623040956724, 577.17947606857797, 577.92726334350664, 578.82647555288884, 582.7858411329795, 584.50596966068917, 584.54110744503112, 584.97362057040255, 585.28428438490903, 586.02446755592246, 587.32856793388726, 587.64673744140237, 589.1297797228093, 589.34451368399505, 590.93739979245265, 591.20131763579332, 591.27855714399186, 591.46227492726337, 591.52026912762858, 592.22859199209404, 592.84280641346083, 593.91152199885414, 594.79024733829613, 595.91194743907045, 596.58990824953196, 596.67478395430817, 597.0682226658613, 597.71795868393508, 598.23212058563206, 598.47455275407117, 598.79129840750591, 599.36919894452228, 599.45007597254107, 600.54455285178631, 601.35867645603344, 603.24596246661565, 603.69289710231044, 603.7538494464726, 603.97419690413039, 606.50381650250267, 608.11776684505253, 610.98334546374815, 612.04642607552967, 616.07302318065263, 617.75555367673826, 618.31401104355064, 618.56389351382415, 620.59981327498281, 623.62376410110312, 624.07750176171339, 626.25497107029435, 627.17593075768934, 627.96321833636023, 629.4633652939209, 629.96756514916012, 630.81509065645332, 630.99853832033216, 633.25639489429318, 634.72756677157429, 636.53128268224509, 638.57247870932144, 639.27100857608377, 644.42676976306154, 644.48935047317207, 645.5870231782261, 649.3511485317166, 649.55281845465208, 650.11558893989741, 651.02558637709433, 651.2260181037351, 652.06982283630009, 652.50145862213492, 652.62006278237595, 654.2913505749849, 654.51539857268472, 654.98944213437971, 655.56505480008036, 658.60411662259003, 658.75487591376634, 660.61977088861829, 661.82029315421619, 662.83828185481457, 663.67697651498304, 664.12639587160322, 664.3486518542237, 664.52455007364097, 664.62287227506204, 664.98833691655648, 667.30215405978674, 668.25121943353474, 669.65208518072461, 670.06059857464197, 670.09351754185548, 677.02065792505118, 677.23346210578825, 677.83213626521103, 678.18484191158029, 679.61224999506965, 679.67340428378759, 680.58353319163086, 684.30890306226877, 685.17199575463508, 686.70531015816698, 687.29455010968366, 687.91548532753882, 689.53415724102513, 693.02298165361026, 693.18101750036953, 694.61364948939945, 696.90988891253812, 699.57954040395009, 700.41694611856758, 702.68008142720623, 704.09859477921782, 704.32109482438909, 705.25540914054113, 705.86792577345, 706.44137733607329, 709.89031227279213, 710.5647915034375, 711.5131279339713, 711.90653967934395, 714.11324763761445, 714.97358214262431, 715.18140263277701, 716.14950831388774, 716.44395866114314, 716.84337167007982, 718.68398239668045, 718.99104821576111, 720.8103945458347, 721.53237940278905, 722.61437644493276, 722.80655438860504, 723.85307909333244, 724.11706405155883, 724.64474038718231, 725.4928533836794, 725.81667687773745, 726.77752233159515, 727.06089779800323, 727.17738497446237, 727.45254691153775, 727.53669565133657, 728.14063863168246, 728.34375716998863, 730.16076084407871, 730.27350181641555, 732.43201957124393, 733.53329914293033, 734.18912409588211, 734.32462891661714, 735.24526447169808, 738.03009186559461, 742.33931247934936, 746.48959094422844, 746.8245344162309, 748.04707773300629, 748.30705669481642, 748.37704699324684, 749.48988923212812, 751.9133465312035, 755.78177207724866, 757.73953501610208, 760.03967338598011, 763.15303137573676, 763.46158236904648, 763.7015491437827, 763.95572136712917, 767.60180064858207, 768.03769719089667, 768.17887694420699, 768.20639194376258, 768.8757022929218, 769.39213529674714, 770.3358739370459, 771.58999314908385, 771.86925122214734, 772.13131340493362, 772.21609052673728, 772.65086808639319, 772.9850533197706, 773.26447291323302, 774.04503913339988, 774.78324935858063, 777.20598593321006, 778.53349897515307, 779.51546940611729, 779.92396274840291, 780.10216177927782, 780.45770519478867, 781.26444239461773, 782.48176104873926, 783.03129269102783, 783.21179733149074, 784.96308919826515, 785.63975244088397, 786.01777801291189, 788.19781529179068, 788.92734905678901, 789.71736018941112, 792.87169449572229, 793.53465699857702, 794.07738743918594, 794.88307186117049, 796.72745967048968, 799.37621471374302, 800.65624044181334, 801.29812061897906, 801.34065167696315, 802.96229164877889, 804.17057662027219, 804.49810367269436, 805.19142489851345, 805.88372078333464, 806.25456485519555, 806.8393596935191, 807.31921743848704, 807.87536913007011, 808.70864246720828, 810.81297783331604, 811.06095417700988, 811.26096590908548, 813.52330660485131, 815.51254453788988, 816.29322992166215, 817.74888352506298, 818.07970123816085, 819.06131665449288, 819.15369617371141, 819.26840874846891, 820.31308771495742, 820.89846279784388, 822.33806802513641, 823.16631029377049, 825.8471021652291, 827.02739152746722, 827.55103882047774, 827.82977500168363, 827.88428445165971, 830.49096727886331, 831.31627838012673, 831.56446260595953, 832.1186705373658, 832.98712308292352, 833.26885700904597, 833.29408212316832, 835.18059155992307, 837.58208224176065, 838.00356706444927, 838.41474786389881, 838.44602211509812, 838.6939290522696, 839.41461144802588, 839.55236478868744, 840.57725769888543, 841.62541753154426, 841.72798933179695, 842.80360416977146, 843.49764786055005, 845.53648762130672, 846.31343778228302, 846.72398586435099, 846.96865194457189, 850.81021207202934, 851.63073342666087, 852.12244468967799, 853.08208841854139, 853.19096244831746, 853.37728328671085, 858.13690011541757, 858.23584813270008, 858.90898184347623, 861.7186185950228, 863.37641540303684, 864.68113434814836, 866.04541984871798, 869.88334929371285, 871.19162802819926, 871.24277447168379, 875.6237871874539, 876.07489333191972, 878.20433444736011, 878.45474042976844, 878.54965693872794, 879.33440085336497, 879.69082426974126, 880.81990406315424, 881.22936572188985, 881.4170392171103, 882.06278359645648, 883.06341036765787, 884.95409437417845, 885.5032146191719, 886.55607168880715, 887.21817754009032, 887.42965678529538, 889.08896157066977, 892.09537989300213, 892.54410486027359, 895.67752077997045, 895.82481993053216, 896.54532433708482, 897.08645290825802, 897.60748958161639, 899.4466826484371, 899.51999298030535, 900.14143359079617, 900.26656322216934, 901.08819732057862, 904.04934370206843, 905.66336876132607, 905.96931464165118, 906.27649530509427, 908.89077397018877, 909.20286577635284, 910.19110284348574, 913.94044335542685, 914.22072570313117, 914.26572762922706, 915.26777737707948, 915.56878521638623, 918.48567055429794, 919.01008295307565, 919.83916418488843, 921.93486044125564, 922.66395996243773, 924.55389020183566, 926.30164463027359, 926.39877241399574, 926.90249645604126, 927.71706595791932, 929.59237611416688, 930.78182839394833, 930.86311794598328, 930.91872676994888, 932.58206064047329, 933.44323225411551, 933.6161204425739, 934.77126535343757, 934.83179004065471, 936.59700426339998, 937.29706033568129, 938.93140266930197, 938.97811643511113, 939.70008461426551, 940.27966184714251, 940.35008695834597, 943.69947787666717, 944.71173547694036, 946.92711342898406, 948.34292370830701, 948.38554408297034, 950.11781018604495, 951.99435858785648, 953.38810032880224, 953.61387776777588, 954.36429110380129, 954.97895366478076, 956.82550863514768, 957.03745830841865, 957.28959453288883, 958.69026882791923, 958.91683665130608, 959.36048517416464, 959.95126713591208, 960.20332137496223, 960.76936075300557, 961.11336457025232, 961.53553835740115, 961.73194680859478, 962.4365164388588, 964.41481047272669, 965.11168033375156, 965.31085495892194, 966.47077707071185, 966.68592784149325, 967.85335729128133, 970.03559531170436, 971.01146943877052, 971.82227218904029, 972.14518083670316, 972.73206588503319, 974.2154250042621, 975.21148786334447, 976.04413371827275, 976.43979308354221, 976.58566619076646, 976.81214873025328, 976.87210045604365, 977.15110101692005, 978.36256168795558, 978.8667406660561, 980.4471499415065, 980.96458802011728, 981.40371883494356, 982.61862777705858, 982.75924473173154, 984.08403138051506, 985.28029614878369, 986.18437641976118, 987.20065924039227, 987.99700911108539, 988.60944076102203, 988.94873692558383, 988.98225811467557, 989.81183655176562, 993.41360831849681, 993.5329125314563, 993.55652102236138, 994.46021222045067, 994.75541590917192, 999.15932457784049, 1000.1967096927477]),array([13.152963544988372, 15.450121861727853, 15.548433181651747, 16.316060897552649, 17.106242416388952, 17.59589799820283, 17.871109252473168, 18.0116570391456, 18.130609160899095, 20.44250794743083, 21.550719432202548, 22.136343555696044, 24.688720162708861, 25.300550029456133, 25.769504482021269, 26.204962246538901, 27.023434585179658, 28.316727619940131, 28.501543702306378, 29.25743195625526, 29.283907905453862, 30.081846675046823, 30.78710952853622, 34.034647923750782, 34.367519391905596, 34.796706638585434, 35.88223937948267, 37.466242516803348, 41.837431780237438, 43.177461849556117, 43.586214616899603, 44.864116297801473, 45.170942179159141, 45.343598075715278, 46.037941856111679, 46.214818147821731, 47.598505304187029, 47.886142098228817, 48.31965732526411, 48.443766400304824, 48.891457541041994, 49.772791486780299, 51.485618313130665, 53.16228131269105, 54.935199373179003, 55.058865444170145, 56.313145401783792, 58.085809245012634, 62.185767273963243, 64.823734633102774, 64.865671776631515, 65.613169784943324, 70.403285815603155, 71.382801908663083, 75.069053024937062, 75.803004546455355, 76.346045322878211, 76.655669127130921, 79.246010790140303, 79.36797219066743, 79.696236221086153, 80.993782319878349, 83.141685146263796, 83.232275828697084, 83.576336789846494, 83.85922503108327, 85.735352901909891, 86.935897286888775, 87.417517181786351, 88.384107990601251, 89.29897730938265, 91.528503117280607, 92.024551448276185, 93.136866102998226, 93.492617263107292, 93.992315015855894, 94.051910476120412, 95.491600032431577, 95.897831844121555, 98.325626020008727, 99.270117381155089, 100.54364314368412, 102.7026273649999, 102.86111134188045, 104.7396708108498, 106.28520524270765, 109.097501231853, 110.05076738097782, 110.60509566584642, 113.27649316713999, 113.58343303742467, 114.06281896159368, 114.28366903683569, 114.41018325005277, 116.41746973139628, 117.36803080457349, 117.45390420666176, 117.58396416977357, 118.22325747259808, 118.66441676349315, 119.69081916106667, 120.44811246241997, 120.71554678450781, 120.92480076897448, 124.25266997714181, 124.93127241367122, 125.16652318458809, 126.57359139498953, 128.51736642524662, 129.73811823864534, 129.84590604579924, 131.23974453382226, 131.53824125443796, 133.31848324674129, 134.20818315741698, 134.66148865978602, 134.71045292770586, 136.84984184561131, 137.52686531989605, 138.99315884136138, 139.41403394325835, 139.49179567250991, 141.06132238873013, 141.2937417853737, 141.59747315517447, 141.7341919651974, 144.36829620318693, 144.66139510973622, 145.93391400232309, 145.99896566198038, 146.62679632034914, 146.68148327487549, 148.01400582058994, 149.03219844589606, 151.47875708744417, 153.22112968339485, 154.45650307446513, 154.47796999537366, 157.78598615924054, 159.65283581042328, 160.2244189933715, 161.87386364230298, 161.96970966708031, 162.95458202637315, 162.97839958318917, 165.73082516708897, 167.37878527189247, 168.10438985834514, 169.37491175248635, 169.56100111842198, 170.40469041037872, 171.44031405295942, 174.28417161764082, 175.81606328256237, 175.84928758926776, 177.2698009989796, 177.92611441123574, 183.68899432817577, 184.21405635554365, 184.47249879616302, 186.4004803354068, 187.74481418609844, 188.08937498677159, 190.01295849686045, 190.4451468511495, 191.43949987189245, 191.86259956619577, 192.18879894946252, 192.23594576442926, 192.38087391933973, 193.66227213401038, 193.9665165344353, 196.7558746860835, 198.18887468523934, 198.42348571263597, 198.83720015848314, 199.35600594049353, 200.84214047665495, 201.50525711628973, 202.14969009621259, 203.36125074613562, 204.05556777670836, 204.47956010453186, 205.4483825701335, 207.12842509228724, 207.81630032650486, 208.51712836875981, 210.71456516361292, 211.40344764067348, 212.23406872040999, 213.01161741831652, 214.22425259206867, 214.87456452516261, 218.97079297315676, 219.24003354210015, 219.3916591799632, 219.54775313884267, 219.72802136605551, 220.08515127371072, 220.88039623751544, 221.66017711629263, 224.60313008897847, 225.34912183480509, 226.45267403342348, 229.46989061595866, 230.64773229564668, 230.9547396482366, 231.65493559158318, 231.68071270818933, 233.33044170100683, 235.05742715982467, 235.18177382838519, 236.10600050180309, 236.21175866871363, 236.69255476196858, 237.44712852750979, 238.15518712846782, 240.10433208355386, 240.13313120554716, 241.6270227052413, 241.92560014296791, 242.34568900569931, 242.46921201125662, 242.88099711834516, 242.97759204658217, 243.27997669705471, 243.90177006495637, 244.40212800480538, 245.54354044594675, 246.96658545391188, 247.76708359659645, 248.52718729679739, 248.91137849653006, 249.92323570637953, 250.04864831582324, 250.99910024718739, 251.46626467572196, 253.21277181100197, 253.58283604267038, 254.22019452243279, 254.48200466967984, 255.45360525292162, 255.58155092288061, 256.35333212161225, 257.00774572420676, 258.09642775429029, 258.20108291124723, 258.86438536105339, 259.25522192977837, 259.62348077764, 261.6734083509416, 262.81276853755776, 263.3578173057989, 264.1605556621281, 264.20138028272464, 268.295417609325, 268.31621607483919, 269.31340776679269, 269.89557298234809, 270.80161821663762, 271.27570576062834, 271.66855303557406, 272.50133667084953, 273.09348498860891, 275.14579886886025, 276.13948440168332, 277.99710184205873, 279.00871987535805, 282.00674423970133, 284.19120344162667, 284.4612463021549, 285.51349371388682, 285.65861629056792, 285.91297527451104, 287.69074753432977, 288.62960592454755, 289.89103104641805, 291.02141059330393, 291.77712812745676, 291.94934278087271, 293.8397136880447, 294.41641719980589, 296.3084835701884, 297.11880379513002, 297.34339251377907, 297.48623620888924, 298.88206353145205, 299.23427043565141, 299.70957313312357, 300.26067935233647, 300.31215148554509, 302.65739280228485, 302.8905140968605, 303.74847992444768, 303.82862126520331, 304.12234325887124, 304.34328244954446, 305.86314799501173, 306.05595540293609, 307.11567467461958, 310.42361152516963, 311.02184428011822, 314.03049359571634, 314.18116852315751, 314.57745078929861, 316.3652833904722, 320.03112183306615, 321.70282592681497, 321.87866458540304, 323.10171273467671, 323.55462042172309, 323.90053316295382, 324.01673962200067, 326.46860177709289, 327.70546223533023, 328.38446845664549, 329.11131488646532, 330.01600277324769, 332.01034406768366, 333.93567828914718, 334.68817784156772, 335.26684343627284, 335.8156808121488, 336.12986131291711, 336.79327921864478, 337.21200354663898, 337.78555320569347, 341.99925335465974, 343.21241026290596, 345.22062470975953, 345.28096217811401, 346.87371037883094, 348.27848380526473, 349.16698175800582, 349.62792063419624, 349.78953925321457, 350.84093079474428, 351.18543161518147, 355.13556873514682, 356.98159385330825, 358.98140465461591, 359.27627700001727, 360.23892475018806, 360.37545089578481, 360.51834676977819, 361.05441459823277, 361.4923973938819, 362.2562949806009, 367.66918715030931, 368.00616896759112, 368.18294777981998, 368.98609770352772, 369.8831770961429, 371.91396754433009, 372.01563026950112, 372.96088945952306, 373.29767311895688, 374.72894991884675, 375.0740794546935, 375.50204020854494, 375.65497058246154, 376.3381213439834, 376.45261102897859, 377.66205980064728, 377.81389786862036, 378.23650316798398, 378.69847123550494, 379.1459472315222, 379.83189225987888, 380.41081319186668, 382.24855513241255, 385.0252321475873, 385.29283017184787, 385.48838078935194, 385.91781665104475, 386.15239767857901, 387.62534339994744, 389.74653043657327, 390.62211892393373, 391.1506976882211, 392.14033806514163, 392.92829017541823, 393.45192977497163, 395.340012579899, 396.00110642900756, 396.91451876055521, 397.77549524586692, 398.05972832837097, 398.20147339040557, 402.08152447032251, 402.28938151184934, 403.31065118443615, 404.74105372491863, 405.85624521471817, 406.84548849394349, 407.10978895077005, 408.67380004276902, 408.82808641685568, 408.94289861885454, 409.22741406365844, 410.70280089304578, 411.7022133128213, 412.00923777638718, 412.98402828534557, 413.31779064535328, 413.48904978448621, 413.66300026643569, 414.35238814063212, 415.22533552713759, 415.90294055036912, 416.50844242750583, 417.96338826701549, 419.27129831235192, 420.54072662395356, 421.84293923726614, 426.84926114370711, 427.97471903081168, 429.59924290383771, 429.8406114060316, 430.17296005847152, 430.34398564009689, 432.71325203482752, 432.79164798664272, 435.09303940262373, 436.56610554783924, 436.61698395026502, 437.08535252510171, 437.75732390542743, 439.26339531364761, 439.32545290333968, 439.43480543759574, 440.22061090920607, 441.49514233005357, 444.76408775431082, 445.69571324406019, 446.97108998521975, 447.08670998491112, 447.9120973250599, 449.57100304217556, 450.0274557409424, 453.2510487160406, 453.76076676058824, 455.62631010332814, 456.4037072521848, 456.66875868810547, 456.7576539965803, 457.32146519342024, 457.55868331539534, 458.39445708103239, 458.68322587910637, 459.28738689919516, 459.88748751692339, 460.07280409646006, 461.22354632915346, 462.59648728291535, 463.47961588593603, 464.02927436442855, 464.71485060836039, 464.89665640894299, 465.24966655663326, 467.20263862846593, 469.08770319220019, 470.59902749403443, 472.6316404694586, 474.51500064955985, 475.15272139046965, 475.69205510369665, 476.31518968240556, 479.97570634903246, 480.10316182402295, 481.62743792836403, 483.61674402333222, 486.77013672326086, 487.14903173039539, 487.74582154880079, 488.44871473930402, 488.47011622291029, 488.9269569109324, 489.59939538480336, 490.37149296689358, 492.80062496523618, 493.11967650000219, 494.28616183273419, 494.89808539482686, 496.71328611091195, 496.78150822945173, 497.22051564398407, 497.26175946581844, 497.36351323061166, 498.80924723002914, 499.35375982181847, 500.00899601393604, 500.62786817736588, 502.67089887161865, 502.74458583847019, 504.36451921331866, 504.70176239487358, 506.38695359367023, 507.39406112660743, 507.83914248805348, 509.77475476455481, 510.02794537721769, 510.17596909009336, 510.94825715119509, 512.15301259864407, 512.2496559637566, 513.84479055060831, 515.18152542933672, 516.51668162420708, 518.09352808457231, 518.51494797747864, 519.60618354160499, 522.96923741578587, 523.65735269000822, 525.45100335385609, 526.61952984654772, 526.81312304486528, 527.68031443639961, 527.82434932739091, 528.83342581287718, 532.60910990369621, 532.74697381190288, 532.77782567926863, 533.53625957025451, 534.23874971011048, 534.83254339810151, 536.16423345576413, 536.61096940610616, 536.75575782220119, 537.02087632453254, 537.3961636884942, 537.53701245223942, 537.87952532220106, 539.4452881996832, 540.98359198644198, 541.40046726691878, 542.7774558972701, 542.8556001986459, 543.215517282419, 543.25498092869282, 544.00311467523863, 544.16777867797839, 547.13599790429816, 547.7221507808357, 547.93928776126484, 549.17951837232795, 549.91219188551099, 551.10061971395544, 552.48627027863063, 553.22540061300117, 553.41506233861264, 554.15005162168427, 554.40006245815414, 554.98529432148882, 556.09710490633461, 556.34840574622137, 556.47349873958831, 558.80623173595495, 558.94150888158504, 560.55546019558869, 561.21024112004636, 563.77673192149371, 564.00137849375983, 565.83537580293216, 565.95324048277018, 568.5660311274529, 569.74641568388074, 569.89718361082805, 573.07245011667055, 575.11922707921065, 575.64967700776685, 576.71436652136742, 577.11254810830599, 577.46421082689335, 578.15812574714721, 578.56136600893115, 579.77518582053312, 582.18247424817889, 583.19381735507829, 584.92216231321424, 585.38948859675622, 585.58325102578374, 586.0455653483474, 586.27506158795211, 586.50741685482353, 587.70261911577632, 588.12072547282071, 590.16468075366311, 590.22966543706798, 590.48685939328402, 592.28301754645872, 592.59920622542688, 592.86646965821558, 594.70465794614279, 595.22345675734596, 596.88039131418111, 597.5818952359507, 600.49468659151239, 600.66402246561017, 601.72182491187903, 601.98016326796039, 602.83528302520097, 603.94692819213344, 604.91659348519966, 605.13516763249606, 605.1783205765214, 605.44834022655971, 606.23262215662498, 606.60869234161783, 607.8061821648497, 608.87923157520709, 610.38626313178611, 611.70961045936076, 613.39991557110045, 614.5074624310995, 614.82521842630035, 615.78264574601849, 615.87426041863114, 618.4453395758884, 618.59089887502046, 619.43918133658656, 620.07094398097729, 622.16243882790604, 624.17885594922222, 624.33903241043231, 624.42428279916544, 624.78912331642982, 625.93196735786125, 628.36746500646734, 628.49557115192545, 629.16528663706515, 630.48263097642041, 633.58514424664168, 633.70484710187486, 633.99403654872856, 634.01590228981263, 634.18433370475566, 634.6249101805555, 635.0212109893622, 637.64244411066068, 637.70668966578228, 639.14312222088495, 639.36235736940966, 639.92793913821049, 640.62821334582952, 641.35484958763107, 642.0102543783604, 642.14433761322732, 642.39481730607577, 645.71691757394262, 645.9376507283248, 646.23757054806958, 649.69866284880652, 652.56822004713547, 652.71091695477367, 653.03723073626259, 653.39135886489476, 654.11588868278113, 654.37780346030149, 655.07925364375228, 657.04068937166323, 658.99475380665308, 659.2841119267548, 659.84842531074514, 660.00152428636432, 660.14865141783537, 660.82659911382541, 661.03633054402712, 661.24901704912406, 661.56151790183674, 662.63961107807108, 664.05889390975631, 664.1023938875104, 664.56553187326097, 666.40902236463114, 667.78684957640257, 668.13262860436942, 669.14428434982301, 671.12119044656231, 671.77966211121532, 672.02048880497534, 672.60393496422421, 672.90129654725627, 673.21094989804317, 673.54380646821949, 675.01185465980086, 675.64014692756768, 678.76237715826358, 679.52286064305974, 680.35660742541938, 682.09596009130485, 682.74136845742646, 683.79652306867092, 684.52154393017724, 685.35117748236632, 688.57174731106329, 690.13851768143536, 690.8287241746051, 690.89066829576177, 693.68013810904858, 695.26881789961635, 695.66300238027304, 696.48470470186089, 697.27620778718449, 697.45527028083154, 697.56586762683139, 698.41071512356007, 698.44426591430431, 701.89514523400089, 702.13177747912982, 702.88522915622809, 703.90430390969902, 706.41781185748619, 706.47141968230699, 706.56772777613173, 707.22496507111327, 708.92536746737005, 709.28203049065075, 709.44746144493411, 710.64811019039064, 712.15359965706512, 716.66182691597794, 720.63654905204032, 722.16987274951384, 722.87201826074988, 724.3346795638696, 725.47275809855375, 728.15161521917287, 729.29413165113556, 731.53900341233918, 731.60960552908921, 733.51730287689259, 733.61691954747118, 734.11653073277398, 734.26000484911208, 734.45233681760828, 734.52120829546141, 734.91442962718054, 736.09598165947932, 737.1392973555262, 738.66755040874511, 741.52922381144674, 743.00104682945391, 743.4347399180399, 743.87413680154543, 745.00223968337593, 745.25880682665593, 745.63382981577649, 746.23405347075641, 746.2988424705419, 747.39714298812714, 747.96258048952814, 748.31636733579796, 749.25637237576825, 749.84111195762944, 750.007504433549, 750.87071965853579, 752.17053400353154, 752.67787245529973, 752.88029494607622, 753.69167324968294, 754.153011585895, 754.63131674124304, 754.87279657407169, 756.30057038179143, 757.18540575980523, 758.43543181632504, 760.45273484080417, 761.68548360066291, 764.22829305070002, 765.09726482474196, 766.51681466763102, 766.54811819560052, 766.70117292926886, 767.3218590466289, 768.42890606238882, 769.06207479449392, 769.18736230044931, 771.56600941374541, 772.92940092225263, 773.20605889190472, 773.29959548890304, 773.85625158505695, 773.97943107493131, 776.38988826675836, 777.09126411777095, 778.40415137397918, 779.39689993167451, 782.81006789636035, 783.32291402956696, 783.7093152889754, 784.30097968069515, 785.61352805389163, 786.18981427700874, 788.45105455514249, 789.02578694272745, 790.45297997546652, 790.73833736519646, 790.88794907013289, 791.19330765991344, 791.78669601991953, 792.68297224732498, 794.43665010113523, 794.76898677910344, 795.31659329335969, 795.35238977622805, 800.4418157993282, 801.13210955110992, 801.32929773982562, 801.93606092166272, 802.32589869724086, 806.48313704191878, 808.06089217868316, 809.25595085253588, 809.31393760924186, 809.48972041261572, 809.52855437795324, 810.18356951158705, 810.23145783492851, 810.51723080614863, 811.84260598458275, 812.53853873459525, 812.7851826636853, 813.31943430078263, 813.90692498045348, 815.15489397378042, 815.82815896936165, 817.8973017317735, 818.60670838787144, 820.73478238647328, 822.13122246028831, 822.43778642918483, 823.05916470150055, 824.10515448101944, 824.23550761356489, 824.70066248167882, 825.30807568076716, 825.57330817230923, 825.65190069331254, 826.19298379294571, 826.79412739189263, 828.67105717557297, 829.58536045299479, 829.77277265406633, 829.819494767935, 829.96950416625543, 830.60443512282166, 830.66012392621485, 830.94832406594992, 833.06643980139665, 833.31679501733481, 833.44267493240341, 834.19636435481038, 834.22275217221647, 835.30643778222418, 836.62601890362942, 837.25743515642398, 838.01380802610686, 838.28716915438974, 838.85759013046129, 840.99951257434543, 841.44270272848701, 841.9938803420207, 843.95235240342129, 845.23506232760883, 845.51655804544362, 847.4481883615864, 847.71656457119354, 847.94562136658828, 849.16496328472056, 852.38122429915518, 852.55977224747426, 854.52843512779111, 855.22164484412303, 856.16553213709574, 858.40378562268813, 858.48868520785174, 859.45940515855477, 862.08661951051181, 863.23890474454583, 863.75292973089597, 864.39433612708842, 865.23895428775234, 865.26322837445639, 865.32682048203696, 865.34854860616701, 866.41253172610573, 868.08692371942084, 868.56794870727936, 868.89433805341139, 869.34224634969462, 870.16751253748248, 870.19333218320162, 870.52971090805249, 870.87047003671069, 871.0636253812404, 872.29739112264383, 873.68389185692479, 873.8380441928706, 875.65155445040193, 876.10118016461422, 877.83198302709388, 879.18108730464996, 880.47535558026391, 881.75714629372544, 881.81038521513062, 882.97906961489741, 883.24992219687044, 883.62722121872685, 884.27774297469557, 884.64641686793505, 886.10417279483931, 887.94275622032649, 888.62374217759282, 890.21015338216307, 890.34485215367567, 892.00055747116687, 892.09583265915535, 892.48065394601679, 894.85115617789859, 898.93573708478914, 899.96127326724047, 900.73287804240101, 902.79535784683867, 903.29343379714533, 903.66494823193966, 904.54808240044861, 904.62065987887922, 907.05226579612793, 907.32837410932223, 908.01424042872191, 908.07519214579781, 909.18865257039317, 909.60825032885248, 909.89616354417763, 911.87498678095187, 914.89377923110453, 915.9563196996321, 919.77185497263667, 920.2573207250241, 920.49449785364584, 922.45674998870402, 923.5401790441498, 924.10509329122635, 925.00468199192346, 925.02847369759513, 925.21160274690817, 925.48140530057185, 925.94582836102745, 927.03587718061465, 928.67102910933602, 929.92550960470328, 930.7625426958798, 930.84142130324619, 931.09537684933787, 931.2198540880654, 932.28554563933403, 932.62064770312998, 932.84822615878193, 933.13016777837333, 933.26694462488979, 933.58406656131024, 933.67464410342325, 934.32795183128087, 935.13184940822157, 935.67719505142736, 937.87639562434765, 940.42126200152654, 943.27619710045349, 944.3960399801914, 945.69070280946971, 946.04249115998448, 946.2330839203488, 946.75912915895344, 947.75412466693354, 949.55932515738721, 949.79331041556679, 950.51310933327511, 951.12457491627981, 951.31702855746607, 951.49158094838447, 954.35124949537249, 954.79759994535141, 956.72387925447674, 956.83668730981788, 958.30122239267439, 958.64312268514539, 959.46139375726545, 960.28323088287721, 960.3177317416812, 961.51220796409893, 962.4346555033793, 964.44649363855456, 964.66336041746888, 964.98176413152623, 966.24236924594936, 966.39880865190548, 966.48284133272216, 966.9769886238123, 970.68191439341899, 970.77668229041547, 971.94031211415904, 972.58883030006905, 972.87229269497743, 976.49819811548002, 976.92721701348637, 977.82252049907152, 977.96990421975499, 978.25962382652835, 978.67734133673434, 979.04341039150165, 979.09504947105427, 982.48233029248433, 983.97370202713694, 984.78815250541652, 985.19522512359538, 985.64316250617787, 985.82421791369234, 986.69589913068955, 988.21440420018257, 988.47414664843052, 988.5838367196186, 988.67653173943233, 990.04910519970861, 991.95394361797344, 992.96882774305891, 994.61269775903554, 994.79600502069445, 995.5973654554856, 997.98873261345921, 998.08633255006976, 999.90603820262072, 1000.9254022687412]),array([0.83802295307242591, 3.2901168358129049, 4.3410835723306889, 6.1745360897226726, 6.6520315464812745, 6.9906777507915434, 10.195108166556153, 12.346473449237738, 12.514514660003249, 13.459866066095442, 14.192766716751189, 14.840293075214552, 15.030339036462076, 16.91199840970177, 17.862784342289526, 19.360219251199233, 20.511458939972233, 20.539294564333904, 20.790678964907446, 20.894578952960615, 24.814387207623206, 24.963814725227461, 25.149878163345324, 25.344787529713219, 26.734421002440953, 26.932052303455102, 29.465557084943804, 30.027862608281168, 32.105998954880626, 32.49269654399005, 32.539074707545275, 32.825729451609064, 33.564839261190244, 38.315411494063284, 38.512464963622591, 39.693220353469172, 42.340148393783814, 44.72750479243517, 45.683033203412968, 46.978481434014327, 48.577949613373171, 50.22323723691899, 50.975648543125949, 52.898132367745646, 53.267513127875567, 53.896412904508743, 54.173767060192432, 55.015154522747302, 58.721856787692715, 59.326334640518787, 61.776279708022699, 61.995155256907431, 62.412154346607785, 62.562177876125801, 62.604262043736689, 64.374684980360428, 64.470360866366278, 65.668969665012952, 66.430165491406214, 67.999162763337992, 68.806065069297944, 70.753062932096825, 74.411819397193369, 74.622089866502947, 74.783834929289611, 74.820576522114976, 76.453187797909592, 77.272952508797061, 77.755044985717632, 78.35840700585554, 78.561611689820126, 79.186758111870759, 81.368422899426918, 82.063071824583773, 85.02824466965167, 85.114656002901157, 86.194028401113826, 86.328165688777602, 86.883943323380436, 87.709902674314463, 89.814973241176546, 89.885229648966657, 90.045933264587021, 90.157634071767049, 90.27781859539671, 92.449046151947982, 92.653963936200114, 95.170690526188437, 95.71342671630714, 95.809460267937922, 98.610513172529821, 98.727302159263331, 100.07965895586005, 105.85875510029832, 106.82729913415659, 107.62668161747817, 108.22935293091724, 109.12434164404901, 111.02869376329106, 111.66877474500572, 112.27897618982074, 116.10108667342136, 117.10442743678632, 119.62791027084147, 120.76706935781635, 121.678150016788, 123.09234111452746, 123.2199591168107, 124.22494979590743, 124.44346837625075, 124.64783986183922, 126.19762367148438, 126.81120988948668, 127.50328784337215, 128.92601951738098, 129.95647284038475, 130.569968981111, 131.09545955033008, 134.66179891635036, 134.90966932389489, 136.69548001033391, 137.2974372022002, 138.55321766158815, 139.10117530324354, 139.38652749832647, 140.19079452446366, 142.89974955059836, 144.14915815155064, 144.45256628879517, 145.11451137912081, 145.27894009372008, 145.76540576422633, 146.07193678759512, 146.81103692449423, 148.39528708231552, 150.72102766598834, 151.79040725995836, 152.03361635010253, 152.36889223714834, 153.22011253617936, 153.47747756132202, 153.51958885957885, 153.68074975257505, 153.94111213725904, 154.78103488005036, 156.58719399253289, 157.19936267929384, 159.49376238791768, 159.77327099659331, 160.64308225112816, 161.76589539410432, 163.13705715334237, 165.02421910434188, 165.7201569785197, 166.08201193130645, 167.18259617506888, 167.46582331476361, 168.01750730246636, 169.83550227188425, 170.85838305637984, 171.16238858693751, 171.63016974683444, 172.75771684778036, 173.12520694714621, 173.4535933800376, 173.52343483724448, 173.76963942450604, 175.67992913216327, 177.69699540746609, 177.76154616930057, 178.78991263584399, 179.07585128530289, 179.41802127344982, 180.0725506190177, 181.73007222783741, 182.73864083367656, 183.63689017329955, 185.38620002133609, 185.83773905414591, 186.04512921907707, 186.37574378686185, 186.82377913843592, 186.96577097917819, 188.0621723796794, 188.26642046512961, 188.72136806793281, 189.22331164344362, 189.62261168803914, 192.39293311026665, 192.95540444112396, 193.65641795488611, 195.29289943810085, 196.29399314507776, 198.74604005838245, 198.98196621393447, 199.76591268059937, 200.60663503815991, 203.42387507540619, 203.88734729527479, 204.52560363996653, 205.72416515295325, 206.83299724036138, 208.73588534062213, 209.48303059145931, 213.41190652592647, 214.41836883359269, 215.33236697359618, 215.44146537512665, 215.65057370141497, 216.20765785116708, 217.46698959972824, 218.09349636576715, 218.42789691909985, 219.74547329505631, 220.10401411564436, 220.90920150973861, 222.73390951634943, 222.94045347381567, 225.27743438183509, 226.23774814857629, 226.63573121013178, 226.87399923320322, 226.95363429947938, 228.41907776888795, 230.68585889320457, 230.86207198908554, 235.70430360382727, 238.21287247103922, 239.52173028553239, 240.90126250107647, 241.03030838829105, 241.53034668452955, 242.6781753356932, 243.05552039420235, 243.74217311456226, 244.44128385772885, 244.473662075736, 244.52452082505209, 244.86715507197096, 244.91735995704195, 245.70395590466151, 247.66479729289972, 247.92225954616421, 248.6682690688591, 248.79701683470728, 248.82181641888397, 249.96645266840963, 250.78571933977224, 251.41868325861978, 252.11671192097623, 252.15785581427352, 252.79783930149145, 253.0605258938146, 255.11738761744556, 255.62533970365118, 256.7661474792634, 256.89572200586264, 260.27394285361123, 261.50724996714149, 261.62904811990012, 262.10118398479369, 262.7275043676845, 263.63741378031983, 265.21647051071596, 268.61694593949318, 269.04510717789174, 271.35382613816051, 272.6315537068823, 274.79560857399866, 275.59254198618356, 276.97953770305003, 277.84722465034832, 278.51810868845467, 278.67460173954271, 280.43452459632562, 281.3411237121224, 283.34851894994057, 283.94672726520417, 284.74065638090468, 285.23439345326443, 285.33348555766514, 285.68034506715293, 286.4800753603804, 287.97577176479939, 289.13480379826126, 289.22217864170028, 290.43088152763335, 290.55123065660291, 290.94261045874805, 291.00666034138283, 291.18474989794947, 291.4582657940079, 291.86422560667984, 291.89371473398171, 292.46749837820437, 292.83827947467154, 293.29651930052307, 294.8718449508936, 295.17499589203521, 295.8426044080303, 296.10807103503657, 297.74395709602084, 298.30215828714108, 298.47816794174275, 298.59321269063906, 299.0347210735319, 300.21438160703741, 301.14355470938216, 301.74929126129911, 304.96614725366175, 307.32987364023944, 309.98557483739916, 311.3184803560606, 311.42104067095153, 311.45525715440755, 312.25033324131874, 312.60607255244008, 312.67892522839105, 313.83815759179146, 315.77386955522155, 315.82009673898324, 318.71305027041052, 320.57962355634004, 320.89188086324043, 322.8664807953262, 323.21971169577745, 323.79619106300845, 324.5352326680715, 324.64516448043031, 327.80763473167769, 328.59580803000466, 328.94678215495986, 329.40726088881064, 330.80563384600009, 332.93719273723917, 334.25773018786316, 334.52276912799209, 334.95550279053163, 336.14522613917308, 336.83170442720774, 337.71575789940556, 339.17208576165609, 341.62646948244475, 343.44438313307501, 345.51078427457549, 347.61999128202569, 348.72275038077282, 348.9180139283115, 350.07493680546457, 350.46153025407222, 350.50269150744214, 352.61610568079175, 353.94797994001095, 354.85779291056923, 354.90208278481521, 356.2004201089091, 356.42997503302104, 356.47601335673301, 357.63036289872014, 358.14863323045347, 359.47776488348376, 360.54006305873298, 360.66822835774371, 363.5632151086362, 363.86541752479957, 365.13237036718851, 365.47697207687878, 366.98819148137648, 368.56997590010815, 369.03913735494439, 369.36971074026246, 371.41775120389838, 371.57231936294681, 371.91548019498339, 372.10752693345216, 372.22359806266871, 373.02209793301779, 373.3464509979504, 373.64684468643446, 375.50181425556974, 375.92302070553677, 378.28938005868821, 378.56435968026852, 378.83251321252948, 379.06500979737854, 380.17300462597598, 380.62601639965675, 381.63663677292675, 382.08377143891965, 383.47860640850348, 383.761421183827, 385.86474559848597, 385.95657959713265, 386.0353846915292, 386.2178687064926, 389.39620984719028, 389.91682014235698, 390.18181555886565, 391.30650431312313, 391.51069254008888, 393.22229311853465, 393.59982131247978, 394.70178305350953, 395.12334777424735, 395.45730767201229, 396.02320690374813, 396.10727320342232, 396.59207915550718, 397.13875879694115, 399.61565041513802, 400.61128978274354, 401.06670743716882, 401.22997253105274, 402.21897316695959, 402.30718701297218, 402.6567476495706, 402.94898225104185, 403.28251599675446, 404.03893096544152, 404.61824144393728, 405.77550394640389, 406.08225231625715, 410.27094583858815, 411.97435494364595, 412.95668269093187, 413.43818151348745, 414.8077775243774, 415.71309794779006, 417.5993104162373, 417.8183382672986, 418.19545066288413, 421.70598033088555, 424.57163488927489, 424.84755544272764, 426.00174896471003, 426.17792839042056, 431.36408936544973, 432.18076220452355, 432.41451587059419, 433.2252189638009, 437.39193855679224, 438.39245518459296, 439.29153412704176, 439.5032546656534, 440.62824827196408, 441.03607891999974, 442.5064811135735, 443.203980795831, 443.39220825380193, 444.63664439436513, 446.73372514026437, 449.76468005429854, 450.3200229521737, 452.15808426763198, 453.07716230827265, 453.36054192367635, 454.12738482946497, 457.40790838989886, 458.74027037779825, 459.78554878162981, 460.15409243425142, 462.75769799096759, 464.28521250159037, 464.69905225686512, 465.04930020251368, 467.25889548979484, 467.94318333176722, 471.93823693640758, 472.462576917528, 473.73034298994344, 473.80845915167896, 474.16790171282196, 475.33699693124504, 478.44546195809062, 480.99450736485215, 482.25572267602041, 484.16684415407906, 486.28589275252921, 487.04760669956437, 487.70756514549026, 488.39910907993954, 489.14609574706748, 490.1076555735583, 491.31848496644943, 492.00504847467579, 493.79620222929202, 494.36892636877843, 494.41563828491786, 495.31424283020993, 495.99680638677984, 498.18810676495281, 499.19053006845809, 499.4526815019683, 499.8970382784812, 502.13936692451676, 502.31281083653698, 502.89807716505049, 505.14124106317155, 506.89403415261035, 510.17053997470214, 511.92848751368888, 512.46725346219182, 513.85547925228025, 513.95242819572411, 516.51588410367731, 516.54431747736282, 518.08748339707506, 518.53398749782991, 521.16589267301356, 523.22499072419919, 523.50949886621868, 523.83886269817901, 524.05940295102721, 524.68356532623022, 524.74584896757938, 526.95399183353288, 527.42556333077812, 530.24245939056345, 531.36740490873376, 532.82470466900168, 535.32185147046073, 537.96290316607895, 539.35639828427963, 544.14654401666735, 547.78476523334518, 548.71458142094718, 549.58490637239254, 550.50746899961121, 551.56973358709388, 553.14371370187439, 556.55828823331524, 557.11161711383932, 557.15660885868078, 557.71225154415106, 559.72249566108462, 560.08882343030677, 560.49484966643718, 562.0067254003568, 562.43188318459215, 562.60773079318938, 565.34075800743756, 565.67273692581489, 565.75427122078372, 566.46430775770955, 566.70292563891599, 568.35722615263182, 569.68650736658105, 571.11168453771143, 572.08484243325302, 573.48577244155308, 573.97356210840269, 574.07819117462554, 574.85695336511071, 578.63788070194937, 578.98650923756361, 579.67874886854895, 579.99713604562874, 580.76864610346786, 580.85020959586393, 583.17548220390131, 583.3835941524494, 583.93863580826553, 584.69623790258777, 584.99350100028539, 585.60092335371644, 585.68987671941545, 586.96250528091639, 587.37585701408, 588.24780171620796, 588.3576785534317, 588.40093907592177, 589.29142678944334, 589.90792837926529, 589.99885648966426, 590.19577546390235, 591.79553377708623, 593.08546245793718, 593.83105038699034, 594.571336111562, 594.76202181836891, 596.56627859271566, 597.11032686807926, 598.41696504167146, 598.54827290799346, 598.90506019031181, 599.1918777284925, 599.77008423775874, 602.84211397832769, 604.13636749623595, 604.70528217884953, 605.73938472005409, 606.64269717172772, 607.03764258000729, 607.08513697527223, 607.26128804865562, 609.64025608777433, 609.75242862276286, 611.15381070020658, 611.18506642524312, 611.20684449341331, 611.44879890313098, 613.12347378305162, 613.32937270812454, 614.13048139883347, 616.77182115670291, 617.162859004903, 617.70845137435913, 618.60064201084515, 619.4302074370886, 620.02809257995295, 620.35948999492871, 622.48506095263008, 622.580043155353, 623.07224410537879, 625.09472175214989, 625.17875665964232, 626.53178876967468, 627.48884970105564, 628.94076357782455, 629.28640732053452, 630.4802809386091, 630.55718794820598, 632.40388743009748, 632.63170618964944, 632.82296351183948, 634.63011827365585, 636.16209684033902, 639.40515606582301, 639.86743781088421, 642.49691326504671, 643.05440713643759, 644.62104949347076, 644.72109458012574, 644.98351095077135, 645.24872220357599, 649.18328310086952, 649.54648009198331, 650.79839724621036, 651.58450698034937, 651.77473634178875, 652.18747359706038, 652.49747728791795, 652.66840213257558, 652.86278371687422, 653.2580313186163, 653.61521430423466, 653.82809534273008, 653.93559444957339, 656.56043178361358, 656.5818699343871, 656.83749400400961, 658.52408739612542, 661.01247269038913, 663.41632300381684, 663.67375516284392, 665.23175053105422, 665.78984700191984, 666.0857011604694, 666.80296553430128, 667.31106171742556, 667.86561899067021, 668.94832167274126, 670.62814339844601, 671.14184749568938, 671.56091066187764, 672.40876850241875, 673.44697060673184, 674.24546140780683, 675.08104390011931, 675.78344705677966, 675.91976784176109, 676.13222605083013, 676.86140932532737, 677.45951556909188, 677.63662161299635, 678.60206168942091, 678.83853307985464, 683.38982809383765, 683.87604081340533, 686.99757683441044, 687.69380248748234, 688.1550251645981, 688.52654525984121, 689.30387997016646, 689.52933612453842, 691.99499389088351, 692.82457925231415, 693.08095813295142, 693.26784352775792, 693.55442876441953, 693.84735222047414, 695.2963372503815, 695.3242610692198, 695.8234742287616, 696.17687538013627, 696.48024106052105, 696.69692345526323, 697.67154565500016, 698.16565006807855, 698.21852162580899, 698.84021419403643, 700.70413295074218, 701.54169504444508, 701.74341456805587, 702.14849924061241, 705.58655378122933, 706.68433234427494, 708.13640083404403, 708.25107080088594, 708.89753786937331, 710.36973567930181, 711.29899675201409, 713.79742730590613, 716.14268562447251, 717.63431267488193, 717.81591782584462, 718.16136972449249, 719.86687505978114, 720.92552350844926, 721.04896263381386, 723.04955963451312, 724.37916381139325, 725.0746927391823, 728.85725989132754, 730.7027338625943, 731.98615172723578, 734.15889389387041, 734.53209966595159, 735.5929996842076, 736.23024991253385, 736.67779218720898, 736.93159267531382, 737.4804582333752, 738.67312980560541, 739.04364469400196, 739.09999336668409, 739.95537725859674, 740.57584664141825, 741.93286203770651, 742.15399768166765, 744.06889095418967, 744.3119117594299, 745.41757008080492, 747.68711304047281, 749.85846162291364, 751.01964529221857, 752.31302186199161, 753.56024953697886, 754.19020341722648, 755.29610865097516, 756.47523487449769, 759.19433201084348, 759.86141112360531, 760.0820469244793, 761.06217947196888, 761.23528838523532, 761.98179330451944, 762.31321400501724, 762.73823511638852, 767.24469338239089, 767.91988115731249, 769.54230586696235, 769.61765103120558, 772.03613073427539, 773.20258321347285, 774.28705257299441, 774.75611080066221, 777.17461782681391, 777.34728033951183, 779.72744968721008, 779.99691953756576, 781.09902969418624, 781.45036388197389, 782.8666672970495, 783.85121690649316, 784.93859799559414, 785.4387697220925, 793.15480853137706, 793.39207374032696, 795.13002554213836, 795.61622269904785, 797.34249184872431, 798.49403398551453, 798.5349699608098, 798.96842650401936, 799.11323002646361, 799.59569705609658, 800.36128776719045, 802.39177481831882, 802.66452314697426, 802.89985010475129, 804.52479424712897, 807.01547379381395, 807.28711451647143, 808.13353934717384, 808.58606181706728, 809.4784663446884, 809.6338347351857, 809.82004327633797, 812.16321045217342, 812.72742654359695, 814.57879519764344, 815.74920958573546, 815.96112490222617, 816.07968232588382, 816.92265497392555, 817.31958811885431, 817.61414239479916, 817.71581824649616, 818.75549002033176, 819.45184636632507, 819.50196100806738, 820.49277244340408, 824.29465274356824, 827.49627706256672, 827.57539115569341, 827.63283841819884, 829.27427200294323, 829.44857888660306, 829.82839182763371, 831.56138552145967, 832.21355041035747, 833.31083196379814, 833.97867921349257, 834.04220950076797, 835.10807738592189, 836.09961322909271, 836.53887868590562, 837.15435239055785, 837.99048009470664, 838.60028227981331, 839.44001874545324, 839.70432391791917, 840.52719919822709, 841.29118703992265, 842.38577493842308, 843.47822010257437, 844.30419836980411, 846.84125870066453, 849.09312928457416, 849.54763651089172, 849.79367142930153, 853.27225007662958, 853.37287157423953, 854.92445296206552, 855.24067792740982, 857.82160546110413, 858.28363016632932, 859.42545427997663, 859.47143368288243, 863.01394028230015, 863.13772996384751, 863.44367470023883, 863.78876401342518, 864.89095515177314, 865.42247499117229, 868.94848025141005, 869.2057082666314, 870.49493408916055, 870.5561685165294, 872.78977921972523, 873.05408163661343, 873.51621223084044, 873.60966768360834, 874.57579040005237, 874.98639013083528, 875.32628377913215, 875.55647888598742, 875.83628071598253, 877.35154979617789, 879.50463822551853, 882.64912636000474, 884.14334141016207, 884.67466641960402, 884.87518701333408, 885.58788600581852, 888.16626010775155, 889.32796723553236, 889.35493169382903, 890.07974502981983, 890.13653621887795, 890.27863083290276, 890.60250543326276, 890.63614032787893, 890.67533441881221, 890.80979064778546, 890.96230078552856, 891.97534311165214, 892.61808254541972, 894.72295992707916, 894.91810883012511, 894.95023804702146, 895.68011781026939, 895.82974467391432, 896.23622692852939, 897.63657351747281, 898.02028537949354, 899.05484815782461, 901.34756192938926, 901.98293554725785, 903.02933788669111, 903.7293559823421, 904.70812416439821, 904.94521035460173, 906.42607394524111, 906.47826894506011, 907.18029471369448, 908.26991422025174, 913.43409578707235, 913.73402038648385, 915.87806310362873, 916.06009157973585, 916.61392711969415, 918.242980598126, 919.22619824698575, 920.66799881389011, 920.79030653725999, 920.90600715022902, 920.99775270819646, 921.67405659337885, 923.45494646822999, 924.34265451385249, 925.5373310704947, 926.16717619242718, 926.60499362978589, 928.39628197561365, 929.35353084297651, 930.20676516560968, 931.68146640358827, 933.33907846690829, 933.78051109696423, 934.01605737219415, 936.04717225551087, 937.73107522071336, 939.37139281221209, 939.9261925945143, 939.98895838221938, 940.97296308076091, 942.18526690363024, 942.20747516066092, 943.30125746530814, 945.23506754858897, 945.53468538524578, 946.54426215600881, 947.08937168015211, 948.11856979882452, 948.93512847699003, 949.83641849899766, 950.26529145072959, 951.49273978344024, 953.27659947564166, 953.46841739860986, 954.07388040901628, 954.55742180973164, 955.11904122112264, 955.2590961111988, 956.25309192018403, 957.52625899816633, 958.80232072882075, 959.19794534199366, 959.85462384159348, 963.73586989055411, 967.52720248609694, 968.5824436241885, 968.85679160122277, 969.9749950793705, 970.12978292161563, 970.27161594244626, 971.64910539489927, 972.32550918984225, 972.50122918256181, 973.92383385539927, 974.78175461922115, 974.82452698517545, 977.72675913643764, 979.61717964252034, 980.70596201899116, 981.37762127201904, 982.11489856692413, 983.45668880848802, 983.9114994600352, 984.27513355483211, 985.62394555030096, 986.28175166620986, 986.73885165526929, 986.89971799157081, 987.30062586667452, 987.88416343149936, 989.68888639226282, 990.65894177156576, 990.86604177446895, 991.22299923502442, 992.22434945209977, 992.25087929797485, 996.44959271995333, 996.73589581725707, 997.34546566663801, 997.47275870300757, 998.31409072614804, 999.18820496119406, 1000.6319902105295]),array([49.065903911789576, 49.602576552393707, 49.756617960463402, 50.178815869577441, 51.242892372527699, 51.378427478064282, 51.487111752229808, 51.70741430281609, 52.599981045208075, 56.359110312837394, 58.210027686431978, 58.789820659751626, 59.603177707320569, 61.122675274630119, 64.019403628214434, 64.056663302342457, 64.531332316248935, 66.993837319032679, 69.89285494445042, 71.539392486746522, 72.740721138554647, 74.157738470877334, 74.387391841858246, 74.62476596652138, 77.015716916963058, 77.610440790734188, 78.897458105985947, 79.646554435308715, 79.698757836913742, 79.835368545195848, 81.441070553397893, 82.095681757071645, 82.309591757532402, 83.014237063787817, 84.574708968964401, 85.416451103020393, 86.363943710141925, 86.800906066314894, 88.503374388078072, 92.915346677608156, 95.028783371303547, 96.082300759334771, 96.353842748077497, 96.447532592289761, 96.533224371649439, 96.569151245190298, 97.241664939864222, 97.551643721040847, 100.06631289060971, 100.19724877869824, 101.75438807184238, 102.9798510376194, 103.49756254074924, 103.61492343725747, 104.78238141223154, 107.76399034595588, 110.01635318376009, 110.89974423897851, 112.98882137493651, 113.84202575928356, 114.19560558785994, 114.78579827489114, 117.47393216100969, 118.93304424601752, 119.25871406767051, 120.198416254807, 120.95751892064584, 121.13686089303602, 122.23781149045082, 122.67327044003238, 122.75867687479216, 123.62236287311647, 124.81397487115389, 124.85070748757099, 125.21724282165356, 125.80350629873001, 126.45681718263103, 127.18234168640633, 127.80470700432686, 129.24982196236331, 129.77539804438376, 130.18890025308519, 130.46005342403936, 133.1054002132484, 133.46964606769703, 134.51202767824842, 135.05516053379418, 135.35644569106091, 136.22350715106086, 139.0640535281704, 139.37078298504341, 139.90490279206165, 143.83902086679728, 148.82572959019157, 150.79405767298016, 151.6458473659909, 152.08494878867211, 153.09521258351444, 153.27556889534364, 153.34310134861985, 153.38332649577717, 153.50766697702727, 153.53921716181623, 153.74197219437124, 154.29159801218927, 154.87740478946432, 155.5726625723035, 158.92071839604571, 160.00277215658735, 160.33125782839039, 161.7335285660283, 164.84031436833692, 165.91902961484899, 168.02525151726437, 168.92073356800219, 169.95993274749654, 170.13283967873571, 173.34299508143806, 174.59588706875161, 175.27129692905328, 175.54738429812934, 175.75856908231239, 175.87602195373066, 176.000959785384, 177.19281351686928, 177.64368204103232, 178.00561426209592, 179.54520328073204, 179.80663261222804, 179.91299665241357, 180.46063036313467, 182.65888391009855, 183.72053847046061, 184.8532057650838, 185.31214346381893, 185.41800326462246, 186.89681085335167, 187.38797592144655, 188.20868556014102, 188.81617171520239, 189.90264998764272, 189.9884334539172, 191.15652572040747, 192.46101994149299, 193.19489596771689, 193.40023974228149, 194.52730994391294, 195.04357244329663, 195.20446210864012, 195.578443306201, 196.9772993915544, 199.5225971198459, 199.87998933561164, 200.82181300760726, 201.37500466717105, 201.56833786381753, 202.06738860188992, 202.27617737278274, 204.87172722981191, 207.20372394284763, 210.02384962421672, 210.76872776302505, 210.85237750631421, 211.14346038369345, 212.71804381974812, 213.72933122732749, 214.45550743661468, 214.52504073830559, 214.57591418755845, 214.75534693166145, 217.09080894350382, 218.55095271262184, 219.91588006366291, 219.9862461702761, 220.07738204054326, 222.30024913929287, 223.62899330659778, 224.29181132694865, 225.10323812659374, 226.01453827398416, 227.6336915893379, 228.42585790445492, 229.89584464239121, 231.68414913924303, 235.05530213897597, 235.79874302749741, 238.64681571940906, 238.77922789584514, 239.80600125859107, 244.27088720585942, 244.37854705266395, 244.64583001997607, 245.04919699222361, 248.53224440656641, 248.97513301514968, 250.01955642905591, 254.43083605208784, 256.29042030685997, 258.0938178739309, 258.96828947168598, 259.4851367642994, 259.71577204831976, 260.00313115954833, 260.66267447579071, 260.79024795963994, 262.01382897874504, 262.37413114747324, 262.59769907897498, 263.45090661910632, 264.56333795859763, 265.85790528531481, 267.00854869325866, 269.51173671375267, 270.69476293327989, 270.94625815340015, 272.7358050815256, 274.63215768889182, 275.30632276688169, 275.6428582512948, 276.90078086301742, 279.62591212461706, 279.74686301903137, 279.88092169259625, 280.14285463596542, 280.22964711662178, 280.70472637393146, 281.43330450815603, 282.26531472568604, 283.12066140772765, 283.54164591035072, 285.87080290383216, 287.74026101656733, 289.13537521634316, 289.85191491461524, 289.96889401406503, 292.13773615907326, 292.46310405932888, 293.3295865113235, 293.8369224922036, 293.86317161900183, 294.81357165399425, 295.17516021453753, 298.05310578624335, 298.82619337815021, 299.58352067884465, 300.42664229742502, 301.87589471411405, 305.60484146486243, 307.45455098790842, 308.83232432999972, 310.28386313586287, 310.56447038337888, 311.56999821869965, 312.42718561348306, 312.46212930727484, 313.13006731070863, 315.29901384500255, 315.49174833096311, 317.7340714234623, 319.19070696967674, 320.882060838717, 320.92086670980223, 322.97734491075738, 325.88357233113851, 326.7286681322002, 327.18444187152409, 328.35397219935692, 329.43662888481629, 331.26736478739213, 332.56321525290031, 332.66075731693002, 332.9850058648762, 333.25379315384475, 334.77269373877965, 335.64065051584862, 335.89020939703522, 336.28658381094266, 336.48268270522198, 339.114653791286, 339.21134410993602, 340.21732404148668, 342.66270811722558, 343.15135479685796, 343.60201402961371, 344.2885387815158, 344.53154009606595, 344.79488062328005, 344.88828432665719, 345.1340970055179, 345.8914400027158, 350.12993890732247, 350.70855417236805, 350.73006648189278, 350.79400999078564, 351.13404370995602, 352.67869014429232, 354.08542607411431, 354.4350950154564, 355.55441433929275, 356.6073544375804, 357.21760932481789, 357.99319703705692, 358.92082295173918, 362.08876072424459, 362.12629025733099, 362.37317747293071, 362.60417901056644, 363.33846985490601, 363.61190210502866, 365.87767206736072, 366.5162615905312, 366.76385343043034, 368.02553996162078, 368.84027283798315, 371.95344605538583, 374.03271393558259, 375.81895629744224, 376.03316210429898, 376.81055816165895, 377.09869688483786, 377.86755775533481, 378.70359366466619, 380.42524180312955, 380.74350062882201, 380.92558571227102, 380.9749274760606, 381.08211343139618, 381.86167160487946, 381.98703389639172, 383.42690893051417, 390.85908340826751, 391.24508374502261, 392.97853652078612, 394.13704090671411, 395.10235926523666, 396.36887794477616, 396.824975354044, 398.54147236695513, 398.85044750414107, 399.20662628575974, 400.55656214975312, 400.751148606284, 402.37833443985147, 402.49372340198596, 404.73843925565626, 406.94047346624217, 406.97093182308663, 408.73737942049206, 410.66600497743809, 411.04233667364065, 411.44895479901083, 412.31415671748761, 413.18194142799882, 413.54077667231735, 413.93114519042803, 414.19344567300362, 415.12588746101159, 418.30630086779036, 418.94015539744044, 419.49325357846021, 420.85773518132976, 422.85840747404427, 423.57010062999791, 425.13001621280819, 425.56248476118674, 427.46852166782617, 428.0918423039941, 428.6300610319737, 428.98684676634127, 430.36279567597745, 431.7988313206294, 431.88464965915324, 433.50552728221646, 435.92762432576353, 438.09562151348587, 441.01990656975408, 441.59421877901798, 444.18829923206204, 446.09480969769459, 449.9297333922139, 450.62536280996738, 452.09567946551817, 452.82681497119574, 453.76147168072885, 454.87145349038963, 454.90785941751113, 457.59343742623889, 458.23887035747293, 459.39925085141834, 460.39681772395676, 461.93511818120737, 463.2062201704577, 464.32090704432039, 465.71233858854805, 469.08498342766103, 469.24583066760658, 470.12762510635031, 470.59993695009723, 470.8279433724187, 471.02902906454608, 472.24078195915257, 473.07712203521641, 475.30265374702344, 476.08207526181548, 476.9282516429779, 477.58583058172843, 479.58625842218157, 481.16390822120377, 482.00402958541326, 483.7786524895115, 484.61919726282122, 485.6402739994395, 485.75393424705152, 486.69473129539296, 487.83681924306546, 488.50504420709001, 489.00771919387694, 491.98923942729675, 492.11337041422632, 493.19915360987738, 494.26207110140757, 496.99913225431743, 500.05990670973944, 500.33398836219328, 500.88651368123919, 503.80898050827585, 504.53573685364779, 506.38469936157009, 507.64603954784945, 508.10947166430481, 509.90643154065282, 511.57397041348526, 513.06723387031002, 513.1282987212802, 513.55921768622432, 515.23542054422353, 515.92367112585373, 517.84714925132414, 518.27045730551981, 520.00722709172169, 520.1556993465058, 520.78752752197875, 521.89862748848736, 521.91939961663059, 522.10446923163613, 522.97238027601611, 524.30577410068588, 525.00009682858001, 527.5342951069963, 529.30464491951921, 530.45619087831847, 530.93550221112082, 532.66444046068489, 533.01294060661439, 534.01185454229017, 534.45211178173372, 534.65171120133766, 534.69149629881235, 537.51721446949296, 538.6611053776096, 541.46979072362149, 542.12727986801508, 542.43710395802304, 543.19787059436999, 544.58062947467363, 544.81147184774898, 545.32305115284942, 545.62484029018231, 546.23745751846036, 546.50760445637547, 547.82700948717468, 548.57089027579832, 549.62101127657058, 552.05134690270836, 553.19564646286551, 553.40046660568146, 554.49337037635632, 554.52673379463442, 554.82893507183587, 555.84356332051118, 556.84408526295317, 557.10390622620969, 558.09461162086075, 558.23798986560905, 558.80555269365095, 559.09194607830545, 559.40861949147074, 559.44408017731234, 560.2360953234612, 560.63978647546969, 563.90975924089923, 564.11146708041565, 564.81242496444065, 566.17750720505683, 567.8968113938987, 568.10127619453226, 568.30805223958907, 568.48012098209222, 569.02227832435915, 569.17577725625085, 569.38572908803405, 569.53250545436413, 569.98115342253914, 571.27994956446457, 571.52372989021194, 574.43561903059117, 574.83799433089587, 575.88389221177908, 577.07863348147544, 577.42229911376819, 577.72509168001966, 579.30301617575105, 579.54314599229895, 579.9689777509443, 581.25025728354751, 582.32910864853022, 583.45803115808224, 585.0921031880747, 585.31385883640655, 585.96345648959198, 587.29040449438924, 588.56109330272341, 588.82889791992545, 589.33717827129703, 589.86748594684786, 591.77032952625279, 594.38068261298258, 596.56575084521114, 597.07853097568398, 597.42015346497556, 598.18215601482802, 599.94697216919076, 600.01754999434434, 600.05186408874204, 600.20069753115149, 600.88893308119657, 602.38177893353838, 602.64569302326356, 603.64903624555564, 604.74172789867941, 604.78475117858738, 605.03820724475008, 605.26310226153316, 605.90288541552741, 607.49823364182805, 609.94266369332513, 610.06911651160306, 610.36626686687089, 610.85494510843409, 611.33451445551088, 612.5744627829024, 613.25845941600551, 616.43680429082724, 616.78956760376366, 617.96587385814473, 618.05562751191064, 619.40727303287167, 621.82561482375297, 626.36367550546129, 626.41756351799449, 626.71704728329689, 626.90070173165873, 626.92591442677042, 627.0505044972864, 628.38316181627658, 628.46343796839506, 628.84621180188105, 629.75740934866735, 630.90334119489069, 631.57061805279045, 632.04898622670066, 632.35244749140236, 633.18085100374049, 636.86116790944084, 639.96794417995204, 640.01448729585763, 640.96423741901185, 642.55307938475801, 643.74094852277051, 644.04236660732909, 645.71288714222953, 645.99306539565816, 646.04026370776171, 647.27639455050587, 647.7702485668118, 648.42830781120028, 649.92743251867273, 650.47701592008139, 651.45771146218578, 652.28398273534151, 652.34943821805859, 655.20632572839349, 655.74286807982332, 656.51826573908249, 657.0316406957877, 658.72286960187978, 658.85879763857815, 661.27280576231374, 661.95016835253909, 663.76403111268507, 664.75429119160424, 665.01719220090911, 666.80215180603739, 667.10679933452332, 667.63150662472913, 667.75905874438126, 670.32957161226955, 671.52246977346442, 672.23586715629597, 674.03964951001069, 676.23762529561145, 676.29851447247142, 677.55578258260823, 678.42837641043809, 679.34984381125332, 679.81906674553943, 680.10216415256411, 680.85798910982965, 683.19761685317997, 683.73071835530038, 684.00988593814373, 685.63968050967662, 686.91339790999621, 687.13194670559051, 688.88893722850196, 690.90376299572461, 691.32996528150193, 691.42512963765967, 691.64350654739042, 692.07148641542335, 692.48291836040335, 693.47977510554369, 694.18634984340508, 695.25939316592962, 695.36385545574888, 697.93003801115594, 698.36942828347185, 699.44814359175564, 699.61182251254172, 700.28238412260293, 702.16991415285236, 702.24759133916757, 702.46073942708392, 703.55876923761241, 703.7555620595906, 703.90562683821781, 704.11696792702162, 704.92079907120944, 705.12730289125693, 708.10381193810451, 708.41648505238288, 709.31382846116435, 710.33720614498725, 710.83961075878437, 714.51377142632077, 715.15832890203671, 715.252610636501, 716.00741096518811, 717.31599160368921, 718.66477216051021, 718.79436227935446, 720.60018973083584, 721.40757041612017, 722.39735929649908, 722.57518296813191, 724.12689751167034, 724.16164726475938, 726.53078575841141, 727.74145499569761, 727.97776368750476, 730.69090801898005, 730.71568065941608, 732.88131776460943, 734.93051703861022, 738.83189938268788, 739.73639397992531, 740.94710874896498, 741.06539951401976, 743.09012978002352, 744.90792391603861, 745.11116801950743, 746.05423130075076, 747.43153101529174, 747.4712863207568, 748.64037907033935, 749.73167236672703, 750.26213199493691, 750.78418620127241, 751.07631300220385, 753.57412367621532, 753.73332258771597, 754.46202980944327, 754.59727358081011, 755.73690735752143, 757.42444583582039, 757.74852935564877, 759.28698310231027, 760.10852970971359, 760.30164396235011, 761.56507423398659, 765.21238906348685, 768.29184615181543, 768.85058509657074, 769.11505694061248, 769.25781351494084, 769.98695387673058, 770.95759381841322, 771.56159254147315, 772.53737576045125, 773.62106973659957, 775.42038249026268, 775.61443397493292, 776.47905704162702, 776.75991677640832, 777.09367728353595, 777.28531803028943, 777.74447349342165, 778.32675464302258, 779.5842494577671, 780.49776437296532, 782.43545515586629, 785.83897616894217, 786.19747532136648, 786.33775492943835, 787.25019454740357, 789.30434526339934, 789.45072717707819, 789.76272448726274, 790.53655164391273, 792.74083957378036, 792.90390017773768, 795.53867600502485, 798.91210266124324, 799.71450376241773, 800.26987654419054, 801.20878369800903, 801.30761777527744, 806.33135983335592, 806.53876229564594, 806.65100939621732, 807.12329363831498, 807.85180035626854, 807.95807174153299, 808.15710591952256, 808.56677669226713, 809.73241015429051, 812.3121925197064, 813.22879534588446, 814.38693044203706, 815.3418615346543, 816.0264710149487, 816.67910302519454, 817.29480718728735, 817.63820351499999, 822.18855315881467, 823.61137005825924, 824.77177256215271, 824.86308082289577, 826.48182349004855, 827.86761465645134, 829.04246896028292, 829.74853159827614, 831.57673754073244, 832.09257972512546, 832.21253556877559, 834.69903601708938, 835.06257114427058, 835.55297884250263, 836.21209747608418, 836.49129434853751, 837.12637206187276, 837.36565292234422, 837.55514423383454, 837.75798357443955, 838.34442088076867, 838.40965102511905, 838.56103684381003, 838.78798252603815, 839.16290275021061, 839.60136729359203, 841.21879382200734, 841.74664525021478, 841.83459472116249, 841.92796539164169, 842.63379947970418, 843.66269828028624, 844.90705260009565, 844.99746520492295, 846.31114945670947, 846.62139473893274, 846.74051240460176, 847.75387735609775, 847.77937270483301, 847.81195944644276, 851.30067672814175, 854.0497176975806, 856.42149821274108, 857.62165556003367, 857.65779872670782, 859.27174067509316, 864.64803813293463, 867.39204762305178, 867.68113592542863, 867.76833272416627, 869.18237780821278, 870.96035395931631, 872.92027351201023, 873.98326125549113, 874.02735536890407, 875.35367830890607, 875.96372502606357, 876.16793036439697, 877.28251110735675, 879.41928639931984, 881.55467692065179, 882.59676709819701, 883.53573807898738, 885.54911393978364, 885.70082895250312, 885.77287714336694, 889.97132861332523, 890.53315120346974, 892.20526757984146, 892.31797244659504, 892.95866076083291, 894.29952148776022, 894.96484695392519, 895.19852050111933, 895.26384726650929, 897.59573145594743, 897.99587421248373, 898.05887853607612, 898.85879222623475, 900.97286471275777, 901.68276130749246, 903.03388699361301, 903.20653881845101, 904.27093694482255, 905.51756828915688, 905.97723271269342, 906.83049034320663, 908.90282758745423, 909.36099300897149, 909.74462834334702, 911.45140412403236, 913.19400211746449, 913.85435887946801, 916.26393214354948, 916.64893076476619, 918.27073480874935, 918.50071092207759, 919.42395688373131, 920.81177206656253, 922.23726007045889, 923.30736832535138, 923.67741137555163, 924.39465294378022, 924.8223462285091, 926.58755097648361, 927.6572879249411, 927.95025488329077, 928.92477024320431, 929.21885734395221, 930.50091569437279, 931.08268857043265, 931.9054219625516, 932.38236135589534, 933.42167316599443, 935.14120496898261, 939.94892313499076, 940.36032886124394, 940.60379477813945, 940.97821536082336, 941.39745649761096, 941.61775419424873, 941.75956761359316, 943.02544189435855, 943.06465146706478, 945.40825760497808, 945.90415550397847, 945.96444152040522, 946.66031127216866, 947.1991997094799, 948.24901758748422, 949.15891146793876, 950.38868684209581, 951.19626234908105, 952.5509762745163, 954.26348548309556, 956.22302330940397, 956.83055266114729, 957.64843947266684, 960.66260597836322, 961.71086489359561, 961.79220116524766, 962.49466661867632, 963.19438598627551, 964.65070943951832, 964.9322332893754, 965.39912959640264, 966.13995363766151, 967.21262096470684, 967.36830316008536, 968.86590128200965, 970.90433764078273, 971.04481682379912, 972.04089824017103, 972.8808989479611, 972.90267547207827, 975.79961579575252, 975.97630880930399, 978.26050049641913, 981.89472918000149, 983.3297842822866, 983.35418358865616, 984.18434230505613, 984.86111064476688, 986.41628041464833, 987.01315616178829, 987.75767301404346, 988.18222506392851, 989.88480148096698, 990.43137969384168, 991.35629857294384, 992.00352781618994, 992.09601774345231, 993.47054766993676, 996.5956354336746, 996.8999406567649, 998.75482970027929, 999.73317495378694, 1001.1814287857768]),array([77.70108753532368, 77.823869323157766, 80.301349342236051, 81.124461868292784, 82.519461988974257, 83.347154994754604, 83.824007924218819, 85.194978292131665, 87.35421763666946, 88.320852400396163, 88.447165574811649, 89.594503648021004, 89.872739284425165, 90.289678055935155, 90.775239706241038, 91.120818447791876, 91.76144772373695, 92.231053752778877, 92.651223325435566, 94.343295111493063, 94.758939562294259, 96.798169809483241, 99.580311087832897, 100.73302420827723, 101.32540399828054, 103.24065372210866, 105.84075554787272, 106.65902082097892, 107.65324878871505, 108.0922341787238, 108.87502855076791, 110.62429546527781, 111.27950938765606, 113.6490015875638, 114.34495552514177, 115.16170504759155, 115.30843282370634, 117.2669711300685, 117.86752944758314, 118.17529535558995, 119.34939965681771, 119.87091290497109, 120.42277629967786, 122.81278365034288, 124.90604413316494, 126.45815988893067, 126.92785075946284, 129.11309302129317, 130.2327160571337, 130.89392810275484, 131.08189548633726, 132.25137661162142, 132.27621894818489, 132.62112567134827, 133.35472226860801, 133.84304350706498, 135.14792224758892, 135.65144679991769, 137.52121631790175, 142.44864836397915, 142.76346604607789, 144.17320291187386, 144.95039137695557, 145.56068479918159, 151.45098051302929, 151.63571573054054, 152.04454144900291, 152.9433133765516, 155.29792790894126, 155.90420264270475, 156.23721920683997, 156.64560834058651, 156.94917940469642, 158.07488406323526, 159.5410540311056, 159.58276326221164, 159.77002671248144, 160.13070640498071, 160.35417691605804, 160.75536146245832, 161.3342060651876, 161.87445694501577, 162.31673227778541, 163.09845058373338, 165.88072547766018, 166.87875798472015, 167.73736965066436, 169.26291066766973, 169.41622123676444, 169.99659556241872, 170.41225607031927, 171.9271415028096, 172.69303934197708, 174.57907677564, 175.34748722337693, 177.17681563291615, 178.34957011162459, 179.39469575175403, 182.12057410066569, 182.27745289247841, 183.60337278566473, 183.94905492832913, 184.54472866633628, 185.26944189525682, 187.09576183052275, 187.20964457816424, 187.43287456090542, 188.24440241954943, 188.66993117231442, 191.03282425614219, 192.22602937166744, 195.41857187348808, 196.76170336085568, 199.27674531088556, 199.46651462996221, 199.65671017632968, 199.94009966254143, 200.83918451176535, 202.78553484705569, 202.89802625298876, 203.96380517797681, 208.23522563433139, 208.47142283580098, 209.17592686041544, 209.99205026466154, 210.41020652522852, 213.31865756189018, 214.51609056127637, 216.76947627577604, 217.2410144923623, 220.01959951934768, 220.14945954403825, 220.44819771502236, 221.17552259359402, 221.26503099460163, 221.63191587509999, 221.98255092187821, 223.29437674750898, 224.16742826638989, 225.25000877804257, 225.46483240149527, 225.4979973247317, 227.08976415467438, 227.8139095012061, 228.55415481681513, 228.73543632085691, 229.02565957950748, 232.460314907385, 234.7625597578745, 236.11302751987904, 237.19791756888321, 241.6209068962502, 242.20974885361161, 242.28327240109886, 242.42605389897389, 242.44897338273188, 242.64049698565159, 243.77572599285315, 243.86104512011138, 244.1594488454196, 244.82027008455503, 245.75238589822408, 246.63936099064662, 247.44721477950236, 250.17200585838728, 251.20129238314649, 251.54392343988346, 254.30969883367101, 254.34709752528323, 254.62139089816745, 255.84260092919479, 256.18429687341637, 258.81724386978539, 258.93795534548536, 260.58575796803211, 261.62514164352103, 264.2878534948245, 264.33966186856998, 266.67485351304191, 267.16590466415624, 267.59398686629402, 268.60175688320339, 269.53844785900907, 270.32428208262559, 270.83676826745074, 271.23507960794223, 271.7921678597225, 272.07176478330183, 272.373043051823, 273.49072500691585, 277.17502429318074, 278.19311714062081, 278.79740515230651, 280.23188634886776, 282.323034092885, 283.26754913600723, 284.49334578323408, 286.45937380258124, 286.49301844388185, 286.60272292930068, 287.63362475799164, 289.58062981465815, 290.13287109721762, 290.44758318933611, 290.47645769070112, 290.60212415287043, 292.1872247997735, 292.4825447497069, 293.33212975691185, 293.99902838136359, 294.1210313645542, 294.24554386862644, 295.21896713324628, 296.89066780222521, 301.49511526227678, 301.86710113497321, 302.42316201890117, 302.44692426551944, 305.16841578899141, 305.84575572335211, 306.30002957125288, 306.61107403123873, 308.07745165464445, 308.72070244425538, 309.4704742173181, 310.14305244151257, 310.21934475327555, 310.45083560999154, 311.09868780232631, 313.54004582428485, 314.89857461860925, 315.48546067952611, 317.41736174852343, 318.39458155558327, 318.79508629126025, 318.97499540006737, 320.31328676188838, 321.10784497246584, 321.48267347135629, 324.04092362903037, 325.50318215851291, 325.98406785915699, 326.04321935075228, 326.5198701026298, 326.61636082358598, 327.25009379799576, 327.83899351528163, 328.45163201296361, 328.59394404287633, 331.10446073359202, 331.60548001481476, 333.59950605016382, 333.85486817803951, 335.57946761865298, 336.47540655351099, 336.70537792699901, 337.28437180931417, 341.76334105921563, 343.35551222711729, 343.49450682049218, 347.40834897214103, 349.24822245863146, 350.02261181718501, 351.57615495871846, 352.238976744551, 352.46910243404, 353.90974932867698, 354.35900448460211, 354.74408076798562, 355.40517356078914, 356.03326235982291, 356.27630717393845, 359.18355764405351, 361.71109163986739, 361.82516713647254, 368.10064054439357, 368.46270302011351, 370.34413197229009, 370.73064252804045, 370.91536922303618, 373.56420711003079, 374.22804794218541, 374.56330439636656, 375.38629233687908, 377.54905227457357, 378.19534425690676, 378.37118149699745, 379.44213219318965, 380.25443258398531, 381.46912331994588, 383.23344745739058, 383.76138504991832, 386.77788401234443, 388.40294747397473, 389.28675853112026, 392.43422819223474, 393.08607915785797, 400.71808544779697, 401.12364623205031, 402.53531183049944, 402.92992096400548, 403.19022370082757, 403.37220461417445, 404.04200482561902, 405.90759166823307, 407.11678066212806, 410.93222756477655, 413.15801492048752, 413.42044121502363, 414.7546637833093, 416.68245202943098, 417.05475690193452, 417.0898276499957, 417.11090608948024, 417.53725626667119, 418.2432685178623, 419.18943349993282, 419.24350722348305, 420.9699241187563, 421.310287828914, 422.34693046323156, 424.11238990588788, 425.47007987394943, 427.43835942807334, 428.34285506681573, 429.64154177399814, 429.8232382477841, 430.37565234662878, 432.24324267457098, 432.62197660831146, 434.48585104506202, 435.16478291223393, 438.51541879779001, 439.39130149200849, 440.71076045543083, 441.15758245969255, 441.85649074810277, 442.36574701336724, 443.98717987662229, 444.05290289602203, 445.94242212247474, 447.26354265921958, 450.91557106263576, 451.39127222739506, 452.43173473393063, 453.24659558742832, 454.26044932388288, 455.51601618016252, 455.73786154399272, 455.7778124883227, 456.1223160117263, 456.4323395845596, 456.62965484477257, 456.96567287049118, 457.04025169996083, 459.36505116826203, 459.91932239595093, 461.27594698119464, 463.91683295700125, 463.97748481619482, 465.75017269277168, 466.03890380359348, 467.44301919705913, 468.34517162947952, 469.77471286229644, 470.17345578743954, 470.77944663067819, 471.93673342537926, 471.98603856321085, 473.46299951693146, 473.59644717982542, 473.6675126954367, 477.30153304552374, 479.08142629411515, 480.39409416965515, 480.90282412069257, 481.39986477908565, 482.02843276235217, 482.51555530039997, 482.87898588763323, 483.69607952609169, 483.97864015286189, 484.36998992372554, 485.01724884637554, 485.03871041113121, 486.319642161655, 487.67315532193709, 487.69316428956773, 490.22628282425995, 490.4443711729192, 490.84692170277867, 490.89933302936316, 491.0795765127649, 491.95753822953179, 493.56485655646588, 495.8566260921225, 496.62933595953649, 497.19887283369917, 497.74265230211904, 498.3240439635743, 500.06280119010097, 500.25813289588223, 503.96800881382035, 504.38705459039591, 504.66128809679481, 505.5065871905461, 508.07978561040665, 509.34247555719628, 510.05618619517111, 511.39539928743085, 512.27281039841091, 513.11433936676849, 513.47897367969199, 514.05291873046269, 514.29015899005981, 515.5473335187346, 516.97997093085667, 517.52380833994357, 517.68272364716734, 517.84711788991785, 519.5998823808892, 521.19366228686704, 521.46056659402564, 523.78926390838785, 524.01394261055862, 524.40183775053561, 527.94594401144354, 528.01810753553366, 528.70640172144363, 529.43030722171864, 531.74543951710052, 535.84951317930415, 535.92759106575147, 536.33959375571374, 536.6320428397861, 536.77590299479687, 538.65864057804106, 539.56184246639759, 540.644690664932, 541.85243115337141, 543.1931379578682, 544.60361506415222, 545.17558680845843, 545.86876192058617, 546.43979664236633, 549.25696618313202, 550.48726245349678, 550.52689599433063, 551.16780164910369, 551.29313939810254, 552.90438337132059, 553.31965044246476, 554.28413775176796, 557.71837119219344, 558.55534046055516, 559.4062505343046, 559.80512330509794, 562.39734210058282, 562.64777292365056, 562.9651339794741, 563.40853404754921, 564.5281229959412, 566.73050107840356, 568.84796317010648, 569.13683671420597, 569.48604043997705, 570.54601718251649, 571.3831794496416, 572.41939761679373, 572.71640290449159, 573.91198098445716, 574.67997512128647, 574.9839731281329, 575.14941489344926, 576.96584055560345, 578.45146960554371, 578.8462320073595, 579.88576385834597, 580.66039929069757, 581.23336607369811, 584.16621831240047, 585.03957553865041, 586.36366422864, 587.20893127536829, 590.68615620848641, 591.39895143237186, 591.86356544714658, 591.9047489170498, 592.74463199027832, 592.99260730475055, 593.32001656428736, 596.12204266280537, 596.64268680717669, 596.87552296182128, 598.71223355711197, 599.72184479747591, 600.49013461357481, 601.08517879326189, 602.19955907236101, 603.37481366456473, 604.01880777608039, 604.20595542250987, 604.32742056249606, 604.62574322426997, 606.26264579822714, 607.3888545313265, 607.92631770950879, 610.41889073800053, 611.98460262542653, 614.17422169781071, 615.23786594792466, 615.32325867590623, 615.48104247016556, 616.21439896764946, 617.45539911962999, 618.03445462000457, 618.21380652698519, 618.41419738397883, 618.71025131417537, 619.57195023554596, 620.00456780595971, 620.57981842076038, 621.52782026232831, 621.9065796505397, 622.4510987710687, 622.92969037324917, 627.46859687677011, 628.52727427310856, 628.81694748897587, 629.16589343657176, 632.41677324570321, 632.79718065428096, 633.06186991944571, 633.47716971551529, 633.64707021350978, 633.97306647468599, 634.24971756188313, 639.2257861169719, 639.93905112172411, 640.33004605834515, 641.05649581140347, 641.46761981984105, 643.34381040103403, 643.51324623104085, 644.03527470844642, 644.63261392735842, 645.87955523326457, 645.97274060701886, 646.15629806223035, 646.62528594619494, 647.20066674449765, 648.64256754340033, 649.03927013090095, 651.52402436140471, 652.44917637482467, 653.6563272842925, 653.72981324773991, 654.20486452719763, 654.76995226233441, 655.2164044481317, 657.52432786614179, 657.78410849774241, 658.00298978765454, 658.79230021821093, 659.0068830790899, 659.64393371797394, 659.70354082385973, 660.25005358860551, 661.18352271917092, 662.40412951799738, 663.67515664956466, 663.99786472829373, 664.17467985282815, 664.26247994369157, 664.58227195259133, 664.96559671547675, 665.61892398156704, 668.01554503720388, 668.26909983251289, 668.61013926653095, 670.79171470212964, 673.91592211435363, 675.4307936941949, 676.75627197206938, 678.38680064428934, 681.07674796034053, 681.80473692774945, 682.49211883217004, 683.71394723082949, 686.13714291193344, 687.63677439960941, 687.66080772280884, 689.29331642709451, 690.35894124711126, 691.5452852408747, 692.38235665830916, 694.61492048553919, 695.16794858996047, 696.04277781660619, 696.46637313533563, 697.01950943272072, 697.51598674443483, 697.5600697417143, 698.04040502289854, 698.50496564300067, 699.34488701992427, 700.24438287587998, 700.28603307045819, 701.30099424184993, 701.32824072572271, 702.70752192241412, 705.95813113620079, 706.72985985009359, 708.25871565585169, 709.46900067181548, 710.24129260777374, 710.59391013788922, 711.19710079033257, 711.37551016067937, 711.54225426615847, 711.56290778720313, 712.7547399273875, 712.81074267002543, 714.03395876512673, 716.22658755326211, 716.33257276876361, 716.53921646764945, 717.03990229384783, 718.22925795717163, 719.30264901404121, 720.43531713152822, 720.99179476203926, 721.48105361070395, 722.78867997303564, 723.41934308610598, 725.02214413873401, 725.30988393264931, 725.81404297205063, 726.3036025461704, 727.59107044140944, 730.31123888962111, 730.96706237407739, 731.1768083850576, 731.57353556733642, 734.16687146285642, 738.79272433242284, 739.49387374942944, 742.48050767778409, 744.07325723037798, 744.60727059911153, 744.68340457723025, 745.23064356412226, 745.99956771109487, 747.16450237699291, 748.07713420991013, 748.13343315796033, 748.53388475055635, 750.28439849716085, 751.07971458490545, 752.8154564037585, 753.02857863449321, 754.3547662548043, 755.18403027776048, 755.25078483336927, 756.17469477008012, 756.33727196164205, 756.4603779635288, 757.63542736403667, 757.76092701752646, 758.63125529523825, 758.83710382281538, 759.011929843041, 761.90908051873464, 762.59753377090442, 762.83608417994094, 762.99703893010746, 764.27571943316468, 765.33409314588528, 765.76168238465698, 766.27839477535633, 766.40941049382218, 766.44078997488282, 766.62188067836064, 767.78195905892812, 768.03781345001266, 768.22771181311373, 768.96351268490753, 771.91669566265512, 772.79158083912353, 773.30676119840371, 773.42465618789936, 778.37004312170211, 779.56127939087889, 781.30647080336087, 781.38155737203022, 782.43684942364314, 784.42810667929575, 784.87203150422238, 785.18887861358633, 788.04568824701016, 791.33993753613515, 791.53509786533311, 794.64344058496874, 797.10963937928022, 798.13007224879516, 798.42793193094269, 798.81383514358765, 799.24936872470744, 800.26367527415209, 800.48721051600228, 800.938874766803, 801.1065146398314, 801.8284440075987, 804.98579612272829, 805.51560864604778, 806.03811747747818, 808.21182448845195, 808.74143384892113, 809.95580051748368, 810.17590138048615, 810.68770482536706, 812.45043107927188, 813.58241088154739, 814.00065867314231, 816.61857082809036, 817.41037254709431, 817.57002838181677, 820.13332240653676, 820.27238630543673, 822.07735226214572, 822.40636113856306, 822.60329664527387, 824.6281123379631, 825.29318600203544, 825.31963174214422, 828.79276273478069, 829.37849057543951, 830.24724736610824, 831.46024547115189, 833.21932472338449, 834.27861359328767, 834.46446041418289, 834.53561857980287, 836.23275148017694, 836.65181832284793, 837.40919150307479, 837.66493237048178, 838.79736384853106, 839.0715675086816, 839.45786880305957, 839.66557223521295, 839.92023216583618, 842.61946533993887, 843.46798609000996, 843.89504650402876, 845.1112850854438, 847.71200633884575, 849.96644294786915, 851.77664201521168, 854.02914634146055, 857.56758056124124, 859.16339711775481, 861.63170662596724, 862.5637447085785, 862.60135244591515, 862.85923691018945, 862.92671401718837, 863.40437305472199, 864.02888697204548, 867.57290822773427, 868.85884953816662, 869.19834334198617, 869.80282412975839, 870.11638900037838, 870.4497528160457, 871.81819475009502, 871.84578596751498, 871.86805553249633, 872.39269372162482, 872.52414044395891, 872.7332865035803, 872.87119484729874, 872.945304222402, 874.43920821527468, 876.28680097159838, 877.03964878064289, 877.6144770650784, 878.83694090179108, 882.35510242495889, 884.52238950559183, 886.44792811243951, 886.78804640339661, 887.71975526363781, 887.77244387833775, 888.43825765287693, 888.96089741310755, 889.07081453843671, 889.19252432271412, 890.39267787205245, 892.05292541784797, 893.09819960811058, 895.14761091998378, 896.00245086621476, 896.90068645733595, 897.11026926133729, 897.20995497685817, 898.80690178700559, 899.62459827524276, 900.51475800872527, 900.92564838242902, 902.10988023216555, 902.87134987133436, 903.06986187666894, 903.17327801031138, 904.10020371143412, 904.78821588878782, 906.01832636863105, 906.26142129516131, 908.38260742532339, 910.65437719929912, 911.30779820226019, 914.22685377108621, 915.14492341638538, 915.9046958333638, 916.53041191056843, 917.25385191370708, 917.31217754917611, 917.63414862228194, 917.67176003307918, 917.87819925794724, 917.95848180249425, 918.79151388645016, 920.12824699484088, 922.85625961011226, 923.35261200042362, 925.15622275723695, 925.5194165108245, 926.89697928047849, 931.97639735484506, 933.20355309557294, 934.34785048748324, 934.65975856240209, 935.06429170929107, 935.28263179948362, 935.65702250569939, 935.73830879655145, 937.64263269482819, 937.95631899306295, 939.24972039239856, 941.52800593130098, 943.7818776002639, 944.10197554169451, 945.93929125952286, 946.0408876334244, 946.91456326025934, 949.06882893018781, 949.30715138234552, 950.66268218661094, 951.21513855202909, 952.92148612273945, 953.27017134270693, 953.73308679240199, 954.2137205665, 954.6748050177107, 954.9355795577203, 957.30984729442719, 959.38341212542218, 960.06147615906377, 965.28735738058458, 967.69125342546124, 968.21643576565941, 969.07366184505486, 970.12290366557511, 971.61492934021578, 971.93547718269929, 972.04554611643334, 973.96382268764353, 975.47264531659675, 975.74178226944025, 976.57350782921662, 978.20163706763867, 979.31064126382114, 980.07791101578766, 981.21159218333548, 981.39872710586872, 982.85079942199491, 983.00850137120631, 983.35279399568958, 984.79227684696173, 985.00548406939708, 986.79101341224055, 987.12956281114884, 989.43546170473815, 990.47972736222584, 991.50888389715828, 991.62851444618877, 992.20231597015925, 992.40550444431244, 993.28839728462708, 993.50144554985116, 994.67236296166311, 995.19945432109591, 995.92872138022199, 996.94290386291243, 997.7064544420648, 998.22382045144764, 998.47084250904652, 999.11573296959307, 1000.9691070459181]),array([63.016309172845261, 69.025257876344725, 69.617538915184767, 69.786656998195383, 70.348727035221302, 70.565196779773245, 73.920610636933901, 77.264673897884663, 78.379453427011399, 80.062586073704949, 80.764834553715673, 81.280408739667195, 83.656830684806209, 84.005551060992943, 86.808468843555829, 89.173995742732188, 91.135705031064006, 91.547913831687026, 93.028011738612207, 93.306723360940751, 93.531833841098774, 97.636118445841163, 99.388669485479724, 100.8655643964108, 101.78083960311271, 102.1334656488077, 102.30183217054746, 103.64011364260681, 103.86926917851602, 107.26380494951802, 107.72529139071953, 107.91923326813793, 110.21650561650716, 111.22633141882872, 111.60949040472724, 114.0700647917492, 114.12777149841895, 114.74867029565918, 116.71559433254926, 118.62183380139228, 120.43807791556812, 124.13419339193621, 124.28321969357475, 128.30634306363316, 129.10843725378012, 130.53018395589024, 131.61437537374783, 132.51428506816958, 132.58478341077219, 132.87622941692271, 134.17280426747217, 135.37887418653941, 136.99505738799934, 137.59845842229592, 138.52404008864619, 139.2291183718344, 143.90206842339722, 144.9064378375522, 147.3264736256763, 147.34898119734493, 148.07552493955922, 148.30672073833458, 148.85041866797621, 149.29940175213181, 150.13977046496257, 151.32428302248431, 151.89250274693998, 151.93971947853484, 152.22807377980851, 154.69708103468662, 154.99416699580908, 159.08269354486526, 159.20949105443839, 159.935936767827, 160.71184920586663, 163.45610815429865, 164.69268923153345, 164.9345598514918, 164.96949015933995, 165.02028920878419, 165.58373167037999, 168.13490530326041, 170.49672125663147, 170.98028855048071, 172.0227151863549, 172.62384103772197, 172.74243010027092, 172.85963033544908, 174.24615114802481, 174.34864286728802, 174.51663662329219, 174.74787009268209, 175.91883443444101, 176.97719184027449, 177.18762850566563, 178.70630335322559, 179.74959432162913, 182.4953167980878, 182.69840044320614, 183.27108047260606, 189.04514232222087, 189.42684157786164, 189.54410820711701, 190.88641514076721, 190.99303842505208, 191.36621734151811, 191.52387043400944, 191.92003080828087, 192.04700473290364, 194.26837705796285, 194.94794639310203, 197.52621040142378, 198.45008233051522, 198.61810025338156, 199.00281097732554, 199.17708898514482, 200.33826709091662, 200.58943463465084, 203.30759036339182, 203.99277987589912, 206.39411925066204, 206.63235116419247, 208.59250888836127, 208.83115205189208, 209.45907312473108, 210.66616915881374, 212.8736823584623, 212.91852019701474, 214.25625633449869, 215.18512589432856, 215.76559450229732, 216.16892838730689, 216.53460358134151, 217.9791372344076, 218.35089758073519, 219.71979617105262, 220.52913187214185, 221.05777199532764, 221.61169690704082, 222.26506074517471, 222.98110801905634, 224.21741765415717, 227.4761270594704, 227.82330093597687, 229.22851302312193, 229.84966529569505, 230.8456910777891, 233.83523744666806, 234.22727695607026, 234.76212559454407, 235.1367478544222, 235.86780002775623, 237.37178257483811, 238.73305273999489, 238.94039232402176, 239.7111890689084, 240.17258832869504, 241.90654973859716, 242.67829422314844, 243.76436506094228, 246.15391536441049, 250.317520821768, 250.77331032098283, 252.94758343037418, 253.3849400007739, 254.28637401689457, 255.99028974671964, 256.16049251454899, 259.54436188548993, 259.67377488867675, 260.17962747588535, 260.46369533933108, 262.09792158951376, 264.85133075810614, 265.28570794906778, 265.86565715764294, 267.6827133956611, 268.12070272363707, 268.97514756046047, 269.38243389310014, 270.3005300415295, 271.07738446883656, 275.99913670041803, 276.68927758375872, 278.91196509146022, 279.74837930037819, 279.96357739634482, 282.07835786922243, 283.22912935343464, 283.25920750357926, 283.2937853907311, 283.52127570341463, 283.64861305986039, 283.72450997602431, 284.20370172026975, 284.53793319518411, 284.87695050067771, 285.4119251991645, 286.26102031605762, 287.99590181662728, 289.38613089159253, 292.15174680848185, 292.3606380700225, 293.5651745231761, 295.66541476919741, 295.96412017830255, 297.8010803014015, 297.84410036887505, 298.98464998544478, 299.84981002910251, 300.42268339948691, 301.53866192492319, 304.44426935347724, 306.02059416269935, 306.64238849535792, 307.55224945735847, 307.60083217706006, 307.7446774934067, 309.14427781132963, 310.44484202799123, 311.61851440149491, 315.12929570812145, 315.62032499606624, 315.98468649923478, 316.17455644656707, 318.25282342815558, 318.64263589560193, 320.14483043666746, 321.06749889953386, 321.34019441631546, 321.8084699961999, 322.01207081703814, 322.71861854115957, 323.74407716568498, 326.66043674717417, 328.08430716243038, 328.54340482743987, 328.76175870052509, 328.92105825917196, 330.13727844374824, 330.31407238526032, 330.43944217076921, 332.68380640625429, 334.37301312053671, 338.02879845280324, 340.34939855347511, 340.56177218933573, 340.74454527814896, 341.43719906084317, 343.00809824883919, 344.19716986661558, 345.05329560908274, 346.00670493125392, 346.87888637003522, 347.6902701465396, 349.96584459325237, 350.20534745444508, 350.96614923638646, 353.17423154721001, 353.20693669449156, 353.29747970823024, 357.47169972582861, 358.23615366124034, 361.39808845953445, 361.94181135104708, 362.42384657817996, 363.0530111153962, 366.0223595279445, 366.38600770744171, 367.76448898535057, 368.04044526838396, 369.30447554327338, 371.64279594164475, 371.97334348356304, 372.04590087542863, 372.27878322441524, 372.43155989288118, 372.59509438983571, 374.23623023842077, 375.27166837272534, 378.73171182876536, 379.05553147893721, 379.43182571456032, 379.48009734192709, 379.62661339979906, 381.72775215919285, 383.53681082674694, 383.74329265481271, 384.33897593610584, 384.3779873524349, 384.50062491366788, 384.67458937266474, 386.62088694262968, 387.58649224480956, 388.10408622237958, 388.42355614818791, 388.52942060388779, 388.82473103649494, 389.51901739931242, 389.84154841944058, 390.02297307068972, 390.7076601873751, 393.58524048113446, 393.61030012363472, 394.81377615173733, 396.70397245795112, 396.75255686323669, 399.56159646586212, 400.41144776873529, 401.20189503159912, 401.23157303848086, 402.72369961089754, 402.93880029247924, 403.68884454578551, 404.29135281144283, 404.93791962028132, 405.73411867674918, 406.26440242118355, 406.37023073419704, 406.89743390359445, 408.25759010701125, 408.3028655189147, 412.84376606763215, 412.95650892088491, 413.333980109018, 414.37998903832528, 414.78366066934103, 415.66277506196326, 416.33430075567105, 417.49200989179064, 418.4540303080006, 419.00758887462683, 422.88486785662718, 424.45254408867453, 427.34239065296526, 428.98273625782264, 429.29813496117936, 430.12264686350892, 430.20758338332786, 430.43915856216296, 432.0053578444992, 433.56705081586529, 433.60135494722044, 434.3009818834181, 435.46761349967585, 435.54896738866881, 437.47069672308487, 440.73876995704887, 442.78090775841019, 443.38489615690327, 444.2538735733944, 444.8374576040024, 445.20374389552376, 447.30972197172952, 447.47790891129449, 447.73932835411631, 450.39153447079184, 450.93971043420657, 451.50900515920779, 452.12046502655966, 456.9397093115648, 457.57475021858022, 460.91870682540099, 461.63771911488942, 462.75992412269738, 464.45618274992188, 467.5424957503617, 468.12961078701579, 470.28790563359087, 473.37631756673989, 473.92541996216823, 474.4713010964569, 475.48433104290348, 476.6083222825809, 476.70748682007877, 478.62777059086721, 478.8014371440255, 479.24954979621265, 479.70361267829617, 479.75450513434612, 481.46176574191787, 482.13241993341614, 482.45007045318118, 483.85081705065926, 485.83161469812734, 485.93640144935938, 487.07664338266562, 487.46419910934793, 488.4926724964273, 489.4737551029167, 489.61433378525049, 491.92711855462755, 492.85303731824683, 492.93567927721483, 494.32335525417045, 494.48873026387849, 497.56833555677548, 498.14989487768781, 500.44640155780593, 500.79296409647156, 501.00428420925948, 501.08826237658377, 502.00353024773278, 502.08747660220018, 503.32725416222439, 504.26290769183879, 504.37982747045862, 504.49369265980852, 504.80738564468203, 507.57231773019907, 507.85947556119311, 508.58543213494238, 513.26156219037216, 514.66912599522482, 515.175397202461, 516.95288763655947, 517.409016918725, 518.20894656332234, 518.2562448473592, 518.94460157718777, 519.04015991989149, 519.24131387344676, 519.60095448546542, 520.58738054034734, 521.57398164648851, 521.63963234480411, 522.12938641278208, 522.81553399195889, 524.54903170763612, 525.63403251420687, 525.88632483259062, 526.67230009777541, 527.82371113061072, 528.46485147923681, 530.03933681448007, 533.02894206845451, 534.33790184241104, 535.80719988224678, 536.08996864052847, 537.93993500738145, 538.68713128502623, 539.29399242132047, 540.34542094970436, 541.51479801566188, 542.08444465986304, 542.13731421613932, 544.17314746308489, 547.88767123583693, 548.41697716972635, 548.9310959997996, 549.64154348415309, 549.72063413018168, 550.02832021582503, 551.08086028734192, 551.62941691530432, 552.40409186907607, 553.21354268740333, 557.05319188838985, 558.13345952010434, 558.98846267267857, 560.0004609682677, 560.02092090288033, 562.25476229819196, 563.76672859621431, 564.71481058038819, 565.21214778255205, 566.14286453191494, 567.64637640883802, 568.11907545951522, 568.62993890862901, 570.37010753242987, 571.73812093327194, 572.22496659065234, 572.32447939312488, 572.46786858009523, 572.50180371727151, 574.75847316220711, 575.69293765199973, 576.42660605735819, 576.6523151975224, 578.45436333102577, 579.29152732466412, 579.71774161139058, 580.30541802039511, 581.12984895311899, 581.5825114012149, 582.35481376787425, 583.59429130217609, 593.02464508068715, 593.3244835445696, 593.88120154351725, 595.10422488288282, 595.62098664546215, 595.92562725208575, 596.16397411623734, 598.23664675417876, 599.87551342810684, 600.09682808462355, 600.63717137785886, 602.59629447677617, 602.64717265595345, 603.41606063359484, 603.84967216705002, 603.88886942949534, 606.13721080446817, 610.18126712526498, 611.92322447963465, 612.25053053851911, 613.80994169146572, 614.10903244158453, 614.65154030561621, 615.72891842717729, 616.85827138599757, 616.91551945808044, 617.53503871733824, 617.63651170746073, 618.1250540324412, 618.4695047798856, 619.33925590423394, 621.29733511013364, 622.20134530061125, 622.7530844991735, 622.80613848638052, 624.69235069157639, 625.8513828367129, 626.34167503218237, 628.59448873745635, 632.01973699339135, 633.87294121883986, 634.16048824554423, 634.19136184018737, 634.91968913383084, 635.06799281054532, 635.48786243737243, 640.02954970257213, 640.24413725516104, 641.68860060402585, 642.95153953477973, 643.57692416242458, 643.60826648119826, 644.71177671287433, 646.08532160456866, 648.41824024262064, 649.15407471052458, 649.99437225298175, 652.31702014449036, 653.60548649459793, 655.86925433554438, 658.72965884509756, 659.70388669238559, 660.4439674136479, 663.98617626074076, 666.96054396734462, 667.23442750504944, 667.31704497341639, 667.6000211522495, 667.89578551107707, 669.63547182990771, 670.12105092477702, 670.49248268763972, 678.22990645619996, 678.43242231342344, 678.77492139351364, 678.81087272162711, 680.13690947462396, 680.4681465732491, 681.5406127029562, 682.36515687177916, 687.99303211337713, 688.42451249842907, 688.72715332976122, 690.18724622780087, 691.79055318418477, 693.3929137816915, 693.90800356995317, 694.37359106276688, 694.46889455764449, 696.33830226604232, 696.62755001967435, 700.20349386989767, 700.28464971310916, 701.25478567734342, 703.08350777325836, 710.45919087929781, 710.52796439611541, 712.51077619828652, 714.78023156156655, 717.42942968347643, 720.56778011375013, 721.39632909731267, 721.43998347940283, 723.04704567925717, 724.67506423802274, 725.16994357100191, 726.73952160434499, 729.27978453393166, 729.53760812632004, 729.96333996575561, 734.88637006482361, 734.99764784031663, 736.44113438289662, 740.58402168724001, 740.63833873818646, 741.98688782708678, 744.56249656908153, 745.39897712648553, 745.65603311593304, 745.9972770202462, 746.30761742102447, 747.25986656349801, 748.06598088966416, 748.69369386964502, 748.9402902487252, 750.36162147561663, 751.28391211713608, 751.56797145366863, 754.97540731241224, 755.23832214577442, 756.44950698120863, 757.34684602898096, 759.1677886256125, 759.8963731736344, 760.71118672868931, 761.93815940926697, 764.50044704568404, 764.95021319344835, 767.08867809899471, 767.14075285899787, 768.87753421644902, 770.35820528473926, 771.46867945715428, 772.0696116262111, 773.22698616147045, 773.41736358213518, 773.54036980344893, 773.63259042931975, 777.39362302515894, 778.91379117402585, 779.90696414470585, 782.46564633918945, 782.59670821539271, 782.77772720078769, 784.90508049346204, 784.97018022189775, 785.48704933631575, 785.83756642546882, 788.04526190265756, 789.65529286555795, 789.76997375996916, 792.28632621713757, 793.23780294956077, 793.44292859117741, 793.98882826714714, 796.49241417007272, 797.16586633062002, 798.03693174244484, 798.45968131308427, 799.50757266657047, 800.44685843128036, 800.96001685168142, 802.0072974934277, 802.1569338315976, 802.45429140676072, 802.59203259398078, 804.08297621448992, 804.16245159337507, 805.8907314053273, 808.33023574011213, 808.96648542029425, 809.49228488871222, 809.71600847555521, 810.49269440913827, 811.0623809011031, 811.09410556281398, 811.51837675201477, 812.20008182142726, 814.13329468917539, 814.62445540921749, 816.43896804632107, 818.22131118499465, 819.02165545160631, 819.15925347847008, 820.45490180654372, 821.42531412580104, 821.85174267991249, 822.242718039436, 823.88020224720924, 824.99024328742701, 826.5280771408286, 827.22426856130505, 828.27794046016629, 828.36142177116096, 831.02560753547471, 831.15645007100352, 835.48686939896368, 835.74211735074243, 836.2987383482315, 836.44216688129814, 837.36191953998343, 838.13747150409893, 839.06965886903447, 839.14924490632905, 840.89532537687194, 842.02039452724841, 842.58748159576737, 843.09466109220784, 844.46776580349228, 845.93928511886247, 846.77574893230428, 847.54288414910536, 851.2179039647109, 851.49348888324744, 851.68134766082164, 854.30476518429964, 854.61654840481071, 856.82315637054921, 858.32249870279588, 860.02890593499421, 860.33448211640325, 863.5845024249071, 863.97841238891715, 864.23982846924548, 864.33986576139557, 865.06678179412211, 866.03689322156254, 866.33026439034347, 867.76884556739219, 868.72560192805781, 869.11143639501415, 869.14773843702403, 869.36615453696118, 869.90778990316562, 870.6482011946249, 871.49783324102066, 871.5734869943177, 872.86471106373381, 873.33011737260426, 873.4716349225647, 874.40028294134902, 874.97562556853245, 877.08841387130519, 877.81881190641684, 878.13117561607419, 878.74296518770495, 879.32956732550031, 881.03681601908977, 881.14413257349531, 881.90472131831791, 883.41825430923529, 884.19927489613838, 885.05068730374171, 886.85082061412265, 886.9368553692658, 887.11299640855918, 890.01867887535354, 890.14943845664345, 890.4023539543299, 891.94602712891287, 892.14295621446172, 894.05971572712201, 894.30501154664262, 896.12419597137, 896.20822218104001, 896.43797362084194, 898.09339285177862, 899.64582049166415, 901.09966129128281, 901.6096865022962, 902.6239136691355, 904.26402278107889, 904.64752877523597, 905.90118708562886, 905.92437233633495, 906.30662688993834, 907.42962874712646, 908.42721948221811, 909.85192378254976, 911.01902744210508, 913.45023350624763, 913.7561761015038, 914.49832107527254, 916.85962914296306, 916.88174541279591, 917.57433029709955, 918.07281718204308, 919.62715750879897, 919.85320406396124, 920.08486919304346, 920.18644682431466, 922.27294622581996, 923.83514888665752, 923.98444088390909, 924.55910463246494, 926.29568269280173, 926.48762051121957, 926.67278086260364, 927.5297584978739, 929.08514492730683, 929.63577190988974, 930.83055426880196, 932.1462530293918, 932.59835588711621, 933.05593932995998, 936.40209165235467, 936.92915790848861, 938.27580413484486, 940.28828990106069, 942.01854552142765, 942.11781342219479, 942.5106034518285, 942.986465600168, 943.81662565785359, 944.94441892528505, 945.19573815806882, 946.03921626729323, 946.29027819330975, 946.94665243916438, 948.57594656889762, 949.69879646729919, 950.45724498539425, 950.83084391832881, 951.56878558374808, 954.51582426127482, 954.85164688230714, 955.2509595768438, 955.68239639878288, 957.13048895516135, 958.15321938637157, 961.8281289424425, 962.56944551128493, 962.82540786894299, 964.12619270669916, 964.74194816116199, 965.40421362506436, 965.915840492494, 967.06319077883268, 968.60501482775317, 969.07028934180164, 969.3750191045616, 969.66706734854358, 971.90780664562772, 972.1425962357381, 973.15798682854415, 974.31171113116909, 976.26249633550196, 978.59737418318673, 980.98734871621218, 981.0118873624607, 981.38287712251167, 982.77016684181899, 983.18064936413975, 983.53705343188506, 985.11419156244983, 987.30254764620781, 987.38522577410527, 989.24257482324663, 989.39390125805915, 993.56295999916767, 994.09551929258396, 995.30302681868943, 998.14541545065174, 999.65270370770713, 1000.3049838353496]),array([47.434684190452813, 50.685367646926117, 50.890084857028775, 53.163376764209659, 53.625459312173092, 55.428060985299005, 55.533664959025273, 55.86813774948741, 56.896189002716646, 58.887156754294288, 59.469265061163263, 59.883223099417847, 61.17021240541515, 62.678546694061751, 63.905213950479606, 64.149594137227737, 64.9961323066548, 65.816637688709747, 66.058919006515964, 66.341633446331812, 66.870206237608286, 69.189197791191646, 69.426236866716849, 70.276862927359574, 73.249885236357386, 73.94743329772264, 74.987226947475136, 78.271600665084236, 78.815134369868971, 83.45391220638291, 85.436117353802004, 86.867220730749125, 87.240093500186944, 87.318051581005392, 88.217658295896669, 90.459943629568528, 90.626130109132006, 90.746847976486947, 91.115434598150017, 91.674950038515874, 91.740479706145592, 92.262400550398269, 93.972853121574843, 94.519046750506121, 94.583173011781099, 95.60876472797338, 96.204868165991016, 99.498789033904671, 101.28519339964507, 102.81882412454806, 104.49281873003243, 104.68615903438058, 105.01799615908558, 105.80014785649043, 107.46526712670298, 110.85279123405245, 111.75208593340088, 112.1899890197237, 112.64151598455379, 112.88937935021535, 112.95664942162615, 113.54679557974919, 113.68653131193616, 114.27750912238913, 116.07828606230512, 116.67211736289657, 117.55339312805519, 121.89598014649614, 122.0999209732464, 122.37995639336521, 125.00210814766659, 125.24160649225072, 125.31393074664254, 127.19339568326366, 127.95033323270599, 131.93065385875309, 132.32732223581169, 134.64658202543578, 136.99460183562536, 137.06100836644234, 138.8244706084179, 138.899759677981, 139.51036611423885, 139.67155918720908, 141.29761379461291, 144.08143955414894, 145.27858032195783, 146.06440469696014, 146.51018792115067, 146.55650207244199, 148.18718773379277, 148.64439249669513, 149.06578774503953, 149.3021383483499, 151.58265726427427, 152.01762940237154, 152.21024301112971, 154.69578027067831, 155.18121461300603, 155.93237495237332, 156.43367608036104, 156.45723424610722, 156.78895935254937, 157.08163344126174, 157.32697479142098, 157.47202794794617, 157.85218237815741, 157.98763097799616, 158.72410933432863, 161.01453478474136, 161.58277526993479, 161.64212395895296, 161.96214267421581, 162.27630538345599, 162.80838371431457, 164.87586606439385, 165.25999930686385, 165.53500905992499, 167.1451207661878, 167.50727758254618, 168.58039338659921, 168.91622359144324, 168.94327756757178, 170.37597506686083, 170.78202168329113, 170.95262537078119, 175.54715657726675, 176.02998152124843, 177.22813019698614, 178.96095335210694, 179.2568006687473, 180.72202959814831, 181.29623339596247, 182.81587992200667, 183.2528595058634, 184.88670090407595, 187.03986947847673, 187.98918408392819, 188.19921593051876, 189.3854451372477, 189.7010839773767, 190.36852029361586, 191.53189453115965, 192.67817960174426, 194.70766148442792, 195.56363627410002, 196.49554300881394, 196.70103666777541, 197.18952728525889, 197.46912291264115, 198.47747739994929, 198.67295644824168, 199.06547771917957, 199.48412069302728, 200.06807801241212, 202.32993849751119, 202.62068634846665, 202.87436462728041, 204.31153207420758, 206.39445202398659, 207.1678740085525, 209.33250842990853, 210.48193969970467, 210.9491235204342, 212.29696667076814, 212.60859755511203, 213.15097097081423, 213.24239842269367, 216.16982788661306, 220.18964169890742, 221.01538723720523, 221.52763083961051, 222.40956187359657, 222.99788164208866, 224.0484710945571, 224.62660444458731, 225.0707742935947, 226.84652187211159, 227.19790303474346, 227.78702887849036, 228.16628775614913, 229.43814965557613, 229.6154230194737, 230.46973429077678, 231.85775519253255, 232.48866406869672, 233.17062815138584, 234.0914082797261, 234.53400130313338, 235.01600886870077, 237.52129456690639, 239.79330735442005, 240.85043478237461, 244.60705797468057, 245.71658383839309, 246.20301892981934, 247.31183590156667, 248.8972408515767, 249.7179908310562, 250.16598441446263, 250.888123873257, 251.02740286846921, 253.38650327522956, 254.41973381822157, 254.70379645879771, 255.76011574528511, 256.31489135895407, 257.42911793037194, 258.15128339262549, 259.22824467464068, 259.45983827062355, 259.4852192302115, 261.05869764197524, 261.25451738544677, 262.19081928799454, 262.24066668620935, 264.13294036500264, 264.61870161415357, 265.48516504698671, 268.53842421750829, 268.88407998480864, 270.51655460847553, 271.21582103800012, 271.86517431733165, 271.9495714385929, 272.2258557887144, 273.06309595121809, 273.91266107742945, 273.97342664336753, 275.07669769027029, 275.89768531971373, 276.56196313062367, 281.08951301471097, 282.36502454999146, 283.72971502534966, 284.05422436543256, 285.67218238605813, 285.95521009712184, 289.43957379901576, 290.70284698123686, 291.27415724927846, 293.44104029908704, 294.36267170131259, 295.41888553853789, 296.38118492626501, 296.50681605985551, 296.82611856950678, 296.99828378877822, 297.89477131119935, 299.21080650306141, 299.9085039205105, 300.84718662732342, 301.40827373625052, 302.6680517161505, 303.42679537710291, 303.45475430208018, 304.89052712811912, 305.14580086721759, 308.0807800724242, 308.61646428210969, 308.85216395475828, 309.8803033434537, 310.86779964778418, 311.06042107535552, 311.67297854851677, 311.69843152576476, 313.500080310415, 313.62763883613826, 315.11023871752712, 316.65790840021663, 317.60241361538408, 320.78356611786029, 321.22717098447112, 321.80274619778635, 321.91012555499162, 326.5410956929519, 327.62019908447371, 327.86309743510407, 329.0777834688476, 333.73670108485499, 334.10796498580396, 334.32288979757999, 334.66486611985556, 335.28672855865261, 336.37053514648471, 337.15545275675294, 337.67382198112961, 338.41588179599034, 338.50407624620868, 339.21612877993107, 340.11849473451917, 340.21061758301033, 340.34137395657899, 340.69053590819243, 340.8307872361068, 341.60828241031777, 342.12852499492175, 345.18874545975251, 346.21278249854936, 347.41848765331252, 347.55782218253046, 349.67044190526957, 350.04200851574808, 350.12201737329417, 351.20919739281891, 351.3956396339928, 353.44296762232972, 353.58208738744901, 354.35851142522858, 354.4756068055172, 355.250830208509, 355.4867729797412, 357.21566694039649, 357.64793278239745, 359.87466291709313, 360.54642187009756, 361.22468341510887, 361.3701014006636, 361.42905469587373, 362.94662487345749, 363.24689902425013, 363.94356163797551, 363.97031011982807, 364.23240118846587, 364.2553341732953, 365.27053805190758, 366.4925809451924, 367.49868235835612, 370.16988217075289, 372.20818138358527, 372.38452326727298, 373.49956403348193, 373.72136234041983, 375.19516357507092, 375.23510538065131, 375.53721399559578, 375.89539015902756, 376.4501567489545, 378.69683174349569, 379.30975983080219, 379.45072411097135, 380.04626638284094, 380.17348996778662, 381.28350458326491, 381.55632791088584, 382.78117011660134, 382.8733029099742, 384.12542986095525, 385.74149107109571, 386.82256346710767, 386.87482352082191, 389.69250119056318, 390.84340092006278, 390.86710497353027, 391.15691812249696, 392.57637817390793, 393.17811845011823, 394.84828252222871, 395.10639462462734, 396.1518155925732, 396.35029927442463, 397.75229744063438, 398.0918316322352, 400.02086836292102, 401.55134981944713, 402.32590438752948, 403.26854706762896, 403.53748390994019, 404.18298706732327, 405.39406064937123, 406.13172129191821, 406.68174412016066, 407.21886048811211, 407.31244975446492, 407.85315468766379, 408.58877061416825, 409.14222364635799, 410.15250296363348, 411.00104021777975, 411.92386355340977, 413.71623429193573, 413.85855617809665, 416.47692171085566, 417.00451479967001, 419.38411221052945, 419.50969820910706, 420.42293479694348, 420.85072596368519, 421.33491312702091, 421.51799308863792, 421.95928460920419, 424.16070471218063, 425.61340485820836, 425.805842798225, 427.85735778433298, 428.96008155536919, 429.4196532585247, 429.55248787277912, 430.76894476997415, 433.39735084891873, 434.0123600458661, 434.35471149999205, 435.36046666738446, 435.49325194328276, 436.32792203531113, 437.07398717710919, 437.33668663311198, 437.43173717306206, 437.52870453653719, 437.56485261618201, 438.51889457344532, 441.98510233267683, 442.32943550021116, 442.59286651073484, 445.8041429873573, 446.8903659396936, 447.77795799422802, 447.82692414352044, 448.6521331106494, 448.81556618167923, 449.81152563498063, 449.8818993592148, 450.02111055055423, 450.57868581435616, 450.77714881903859, 450.87583073800624, 450.94285533999619, 451.07220083933572, 453.66836738987996, 455.13159679695417, 455.38127013223885, 457.43132881178855, 458.12213553194158, 458.50768182924878, 458.86160313344033, 459.32909606154857, 459.43364938443739, 462.61699374739493, 462.76763594462562, 463.18399203274373, 464.59128700182475, 465.99728902803793, 466.35292482732564, 468.873177353524, 469.11484368790775, 470.42331018757596, 472.79955092826771, 474.65136090289559, 475.33291726136025, 475.51903442039344, 476.2856211622755, 476.40951451379914, 477.18191262725594, 477.92409664423263, 479.07738200199998, 479.80397302047351, 480.98185897932143, 481.02664117508959, 481.51701519635532, 482.00072338342915, 483.98364686879961, 484.98826267807596, 485.44576091381367, 485.63429825074297, 487.70417196665039, 487.80457144520864, 488.38072642305514, 489.04396446031126, 490.72129452408228, 492.38629312794814, 492.43879165508343, 494.12257847701926, 494.88187093237156, 495.01630975802544, 496.40477752365922, 497.2219909536671, 497.34955399852191, 497.44611192946752, 498.43225184839793, 498.94533900228657, 501.87741005963636, 502.50929585647646, 502.82780028826539, 504.3465946834811, 505.19672417370253, 505.31725898203666, 505.96912693707924, 507.40819082324288, 508.27866797979055, 508.30670638881406, 511.11857315723711, 512.34782989543976, 513.19236140247926, 513.27241722532574, 513.37170883408601, 513.6327470670733, 514.64968968500432, 515.16324638675883, 517.60441520896416, 517.88336633619065, 518.43071599051234, 518.84689731813114, 523.56436114512849, 525.09820034438837, 525.3015821755946, 527.97747951977942, 528.1813317498636, 530.35204190813317, 531.24791438359648, 531.82036759321329, 532.04620212201064, 532.60015355631526, 533.38652954600195, 533.64673241104208, 534.2234712222745, 534.86525277955889, 535.92626992163889, 536.41569723584848, 537.33447622761526, 537.97913095576791, 539.44894824838673, 540.24124162564749, 540.80656865382844, 542.97477361697599, 543.13172738612877, 544.82666206392093, 546.21495573904178, 546.32142835427771, 547.50883065352502, 548.97481958769674, 549.16077169974812, 553.34841604250448, 553.92136662210032, 555.99030579073201, 556.20272563437356, 556.69878511270042, 557.80793453106003, 558.00559552667562, 558.17661383930408, 560.51580414682633, 561.22555589553031, 561.55316838004455, 563.2261137300402, 564.43260073172053, 565.80778370924713, 566.00670172282082, 566.3320834268477, 567.92571605405215, 567.98264219166435, 568.55011285095247, 568.90851967174149, 569.50599508132188, 570.17386691030674, 572.31648213809956, 575.38170796303825, 575.69465014437856, 575.81405516159975, 576.56427288495195, 578.09476613852462, 578.30383982933085, 582.47549887797084, 582.66173291334383, 586.62395322430541, 587.31952046471054, 588.28141412854029, 589.96263105122819, 591.18821075204119, 591.55706327011671, 592.12552726930971, 592.17755039083283, 592.49154600666191, 593.524792628662, 595.68405374189047, 595.90865187333236, 597.65288434596266, 600.38118513343693, 602.0320930342366, 604.3130023528264, 604.72032284108798, 605.89184310106634, 609.41825836867463, 611.33414514005153, 615.56363604713044, 615.95670939913305, 616.62574248245801, 616.66792337272886, 617.39946098854341, 620.68150740464171, 620.808336928892, 623.25861215026544, 623.71548126603682, 623.74327162951533, 624.39588333307893, 624.69469485510126, 625.21057189840326, 625.57676354139585, 627.12665235401334, 627.65866592536418, 630.79515335833673, 631.4570040820563, 632.86285218552041, 633.46268583641711, 633.62354674263634, 634.54358498907595, 635.02681676948566, 636.36108320103642, 638.03373659542729, 638.44845898837195, 639.682122051742, 640.140158269376, 640.44263164459596, 641.26373687608452, 641.86960228696819, 643.26621159564672, 644.26786156755009, 645.68703633380221, 647.13104924435413, 648.84254829277063, 650.6691864483978, 651.48355184390618, 653.45277599992971, 653.75580990689548, 654.07781615474471, 654.9560235382877, 655.86124375780184, 656.15978864164435, 657.53831883174814, 658.34435825413391, 660.67497214516072, 660.90986108693198, 661.85640616990122, 662.07545979583358, 662.32398756566681, 664.03654333836948, 664.30325082065019, 665.54652983116671, 665.99016254681624, 666.02112158470686, 667.67639146226691, 667.9098271825751, 670.47340256169116, 670.83597361475609, 670.96805633457836, 671.08889858619602, 671.37839917249312, 673.07791927454241, 673.7053315223294, 673.90733642958844, 679.06944749443358, 679.50210159135975, 681.21162925455644, 681.50112279440566, 682.60977400208833, 682.88782384103388, 683.1255527065739, 683.75044141664387, 683.8457927625808, 684.22293920246261, 686.13411260159319, 688.16143896896642, 688.86592672965412, 690.63289766725211, 691.91945581150253, 695.90178706013376, 696.24081355589533, 696.55737896759081, 696.84531769343369, 696.99066086162122, 697.98285745134376, 699.00729494204165, 700.71790270233828, 701.10360133054064, 701.2741180390334, 702.81480778444927, 705.05459280758009, 705.35026529524043, 707.9016557963414, 709.41051165374131, 709.86211023474561, 710.26712416697842, 712.58014542927731, 712.84906682283759, 713.12860621019684, 715.14697822126948, 717.6480538935873, 718.12836509333329, 718.48552788162033, 718.96128148689706, 722.56996643659647, 723.95371139422832, 724.12375814599443, 724.49796897012254, 726.17615595141274, 726.38043005051043, 726.97268645763882, 727.67675335747845, 729.11021236099521, 729.35074978189186, 729.90457450326699, 733.46496204730011, 733.52301664655442, 734.53034849291464, 734.63004474764409, 735.00465881020705, 736.29854122818256, 736.82589981472677, 737.0459329295071, 737.60157935668133, 738.58646546750208, 739.27468525599977, 739.56084219159493, 740.74063567931216, 740.89541979604837, 742.38623171847757, 742.69619140970849, 744.18568606947076, 748.10682979346791, 748.43717824523787, 748.98020364095055, 751.54405162343016, 751.816591005237, 752.66062716238844, 753.93530686060365, 754.16036870786661, 754.29036909463048, 755.57460000897231, 758.75709538915976, 759.15376383926503, 761.46466030831607, 761.95736292405934, 762.91829230406336, 765.18398364873963, 766.25934298025481, 767.2602644213905, 769.98328710726889, 771.7214290746216, 771.80686721462712, 772.3915430249416, 774.1541514027308, 777.17457184944988, 779.1197342963186, 779.72069204194929, 781.57818123995821, 781.65831257197704, 782.22467873011306, 784.55346144766759, 785.89170624235419, 788.54907653024065, 789.73917661267262, 791.52228391458993, 792.10877225195691, 793.25879548285468, 795.68465976773064, 796.32869411297781, 796.85467721558484, 797.68846850159616, 798.77628216820631, 799.44824370745027, 800.71326806975742, 801.43703723846932, 801.95726512368242, 803.7383669589517, 804.3265353537962, 805.42276594966484, 806.20528191067069, 806.77976741565703, 808.91301048883736, 809.12190390261833, 810.34716604138316, 813.02114987070047, 813.34652850879297, 813.57613032876577, 814.22051300226906, 814.40609773683025, 816.05142210913345, 816.37961434347881, 817.13574869139256, 818.09058283781224, 819.19603054969798, 819.4949140602796, 820.46423392692532, 820.73678169391167, 821.03832552426331, 821.97990738101475, 822.22074652104288, 822.4235395909601, 823.05277605929359, 826.00554518329602, 826.41101710818486, 829.18008752022456, 829.97969388416027, 830.29233826622453, 830.68939739620566, 832.68105557483375, 833.46502851320236, 833.76260893009487, 833.81527552946841, 833.88436195801592, 834.66340212043451, 835.30517718420003, 835.91770562273985, 836.42914548042313, 837.09936553881846, 837.6156223824654, 839.309703015845, 841.67734177821785, 842.1131382691708, 842.81951552496764, 843.69811847512983, 843.86638730633558, 844.48763249090416, 844.66576528945563, 846.75080125391628, 847.24557511527826, 847.7222495767395, 848.62622193051186, 849.82547409711856, 849.98441219449285, 851.19187039279052, 853.50749047026704, 853.61630973991896, 853.65154049839202, 855.90207091323714, 856.33111904075395, 856.43309882337917, 856.47928856164526, 856.56043700893031, 856.76662662720673, 858.19256216413646, 860.9830683947622, 862.19446804125414, 862.83521408959109, 862.99730397223823, 864.64007269785418, 866.07953365127946, 866.17067287674661, 866.21975444576503, 867.46030792313081, 868.93834167890395, 869.39813118964616, 870.34444322891284, 871.34818649499516, 875.49671957143528, 875.53122779648652, 877.53303631244569, 878.65819252028257, 879.01848180166019, 881.00621067409293, 881.83219435909541, 882.27710136288022, 882.42912060252354, 882.7618081803131, 885.30306038426056, 886.42434077381904, 886.59331242504152, 887.44040315147708, 888.91664755973591, 889.17587588884021, 889.72902563224704, 889.92742039422683, 893.15892878721002, 894.04755196126268, 894.36051603306043, 895.60087571853785, 899.49055767250854, 899.63140863372155, 901.28104629230609, 901.70491883771888, 902.01999705649712, 903.51319077685991, 903.73805725498039, 904.07385791606407, 905.84096107876189, 907.25571683721864, 908.24302465846733, 908.70588318734838, 911.93712213962306, 912.06651642244594, 912.92687559784395, 913.34730396704833, 913.80147825973336, 917.472359441408, 918.19791168379447, 920.82736041800865, 922.06820832437609, 922.37151372751009, 922.39764047526273, 922.57684857581864, 922.98070177238924, 926.22579993964712, 926.44587452889789, 926.60859707739496, 926.76078298648042, 927.70656122623234, 928.40320717268969, 928.44778986173503, 929.01281983413242, 929.72708318002435, 930.40153642089763, 931.13894953459476, 932.15176013539326, 936.12857355229789, 937.23851722286054, 940.8684108100565, 942.27517209208668, 944.8663218294563, 946.33608659205299, 947.60335540806011, 948.64736862627512, 949.95600304514278, 951.6866229494151, 955.99692290610881, 956.81525615567045, 956.87968307239896, 957.59778145340385, 957.67595599054744, 959.56517139936432, 960.07606183402629, 962.09810810060185, 964.564132263234, 965.30416970464353, 965.68332004703188, 966.92996431187544, 967.00670901907415, 967.14498880986991, 967.48325093737378, 968.64765592279753, 968.90508173891362, 970.46698884458203, 971.38677911053117, 974.34423540256307, 974.45394026046631, 974.51576466414951, 974.65977361491582, 976.64658009826849, 977.53531952539811, 979.51993923227644, 981.10156979145995, 982.14187957810645, 982.44870774453159, 982.70049662683471, 983.93683501068438, 986.30183847315163, 987.71178015830844, 990.16247885670032, 995.02113483529251, 997.51040520583808, 998.63911535533407, 998.83886231750364, 999.05495277465354, 999.07749312156557, 999.473354389777, 1000.5609462640034]),array([25.402851375249213, 25.423356405495408, 26.351808965835591, 27.80353594054332, 28.881316315190819, 28.945630445829977, 29.287345113269375, 29.680687800381197, 32.40154663354938, 33.141256468290386, 33.200309746893488, 35.58388157164584, 36.181036456981268, 36.69570499188805, 37.409645238920589, 37.813717017821595, 38.650493378112479, 39.160495999854454, 40.481201061466841, 40.942057318178279, 41.205465648613618, 42.11244422878093, 43.307045720319472, 44.904422963029319, 45.243752817894503, 45.426427326793423, 47.029362363598835, 47.934830350542057, 49.697600156618456, 52.93085695034604, 53.28123014221007, 53.3691416966861, 53.989700578802513, 54.021611196928468, 54.850029041568284, 55.566311145451749, 62.117504308089913, 64.430551711399943, 65.311649281953109, 68.713028114844064, 68.805051181421675, 68.8571350014562, 69.157180880663944, 72.069511794344351, 73.085032427999209, 73.501240093731155, 75.501046219338576, 75.627086621181192, 76.476422642014739, 77.384096817637783, 78.103558872078267, 78.244034321788448, 78.816583707544154, 81.112220900708081, 81.223406693440865, 81.895430565214326, 82.011282784126209, 83.215971522979828, 83.356477093694721, 84.333248819832988, 87.816132662121277, 89.994552169591714, 90.707299755852333, 90.8963569759932, 91.104488831007572, 92.078101823695448, 94.371435679552661, 95.183067885009407, 95.88919291872611, 97.035532862755673, 97.990975553658899, 99.491678096305293, 100.39385581655328, 100.95616401351802, 102.70901011288993, 102.78653730853306, 104.22554624298367, 106.74974447201947, 107.1392462908738, 107.5873708029124, 108.53288901623623, 110.50733704380643, 111.23872015302626, 111.63332595878502, 111.72280708236528, 111.90927269393664, 112.25463890476823, 113.54278096268055, 114.81795046218726, 115.91353954520248, 117.00047867538581, 117.06548637190483, 117.1373061890408, 118.70056556414984, 120.38902474962052, 123.14418561414043, 123.21092416496862, 124.07456875323349, 124.84370764631174, 126.33715892171396, 127.22055298082911, 127.80998141180598, 127.87922479918007, 128.73505363455067, 129.54464730384015, 129.63081950733624, 129.74848189719418, 130.94802458331256, 135.10138694494955, 135.54968780933899, 135.59551911292249, 135.9028659555261, 137.24765962083194, 137.71653400267707, 138.13268954063247, 139.11413344554131, 140.17306351879947, 143.82378092397937, 144.54871558449827, 145.12019352359525, 148.53936103433776, 149.46901832772394, 149.60399177541774, 150.54966405486516, 150.77122225827998, 151.7568408313349, 153.0819998804138, 153.23199143953943, 154.56989840584635, 158.39274167524317, 159.91899331405884, 160.33644896997981, 160.83826009019737, 160.94907203142927, 161.81581669573845, 162.76056119195025, 162.81855137825275, 163.65338336325439, 164.59363843993953, 166.82009839110347, 167.35885252433522, 169.66092361990042, 170.36188872761329, 170.39545730189303, 170.45257057667635, 170.58943401862942, 170.64367313544642, 170.83016144349131, 171.2003849401236, 172.17873507425023, 172.31912136327693, 172.36943630995646, 172.77046502204865, 175.23269156999623, 175.50732589600187, 177.12773379558183, 178.98260007769795, 181.12892481890142, 181.28162022393323, 181.72737941923373, 181.76112657973994, 182.05636988406363, 182.1609333264052, 182.33295881338071, 182.83814594785775, 183.11685022439332, 183.69369705567078, 184.85007935791847, 185.9908011163387, 186.23895848371859, 186.99925300074648, 189.99116907864456, 191.59076078413469, 191.91478880527077, 192.57399307087002, 196.09552373065875, 197.05473703342247, 197.48082262029061, 199.06587799724957, 204.20171610597779, 206.55590655033316, 208.221712364545, 208.34866129456245, 208.89358913331216, 208.91539700129695, 210.64272286736934, 212.11083420837812, 213.61553282368965, 214.19130340556706, 214.29110032396972, 215.549456606436, 216.06794243286879, 216.89226731284933, 217.22147218641575, 217.48347607181859, 218.01886774280851, 218.1235606496451, 218.34570022977107, 218.46292660837179, 218.56998982960201, 219.28320794040576, 221.74175707400434, 223.77772935287226, 225.80860507890984, 227.24186758107837, 229.50096949052536, 229.8790471572122, 230.82473887922552, 231.89951739736358, 234.01201142449497, 234.52331835233605, 234.72417108050618, 237.1066634598144, 239.80169109841322, 242.22574286579015, 242.86746473369453, 243.14957468250546, 243.79105282263998, 244.99416314756877, 245.2708074577086, 245.83938661252404, 246.93627489891554, 247.36761777522463, 250.32105765467708, 250.97748980051216, 252.88123307085516, 254.5777434000274, 255.59334753696197, 256.39942600401531, 256.48808835435386, 259.47776587860608, 259.60616361662125, 260.09771278104478, 261.15716487957496, 261.26827072185057, 261.31785419670825, 263.07882665725509, 265.28626186983979, 265.67839850314607, 265.94278461410579, 266.29405478636966, 267.2783383191765, 269.19617967424188, 270.4164342942762, 272.64094015613938, 275.4059409008641, 275.63095113812562, 277.87222300623614, 278.35463629449356, 278.7600395575227, 279.33507155258326, 279.92810850852976, 280.16586710140433, 280.29369078926027, 282.59893193985187, 282.74927071979954, 283.33521656467775, 283.51465120651466, 283.94403872849767, 283.98011889512185, 284.72832384968353, 285.58234616587583, 285.6666645773239, 285.91564069277206, 286.50835680914059, 287.11898332577852, 290.98827505585473, 291.31711717311418, 294.80706697040273, 295.36010995747978, 296.19178931269158, 296.64353957415187, 298.75251397822461, 301.47013719653279, 303.22910962385942, 303.50746579550378, 303.68349799101043, 307.73465832118717, 312.21497727869877, 312.40951762085655, 313.51547296573017, 316.07622469758968, 317.3720642434501, 318.08012768040538, 318.50542308809366, 319.22312131324639, 319.34172306904543, 320.66446754866473, 322.21525220899252, 323.25443981684208, 323.56498161679662, 324.02167037769686, 324.14506905205275, 324.8510638197244, 325.92856604980761, 326.94837209688933, 328.31182255926711, 328.53591057815106, 328.66115988499706, 329.52353843764013, 329.87278409674417, 331.4804226047732, 332.24374177132597, 332.77629958375223, 333.50074980049556, 333.95085655587411, 334.19987701580862, 334.51467173684426, 340.64540428425425, 343.0893813514748, 343.12439935752633, 343.2263997773025, 343.3744709179, 344.40827467958241, 344.44141041547721, 344.66718655841345, 345.39897856272802, 346.99549861894275, 347.86298489653461, 349.04966647732311, 349.81975526663808, 350.81831976781535, 351.17391803226855, 351.74818445735451, 353.35897791558887, 353.46116193648754, 353.77507638842604, 354.38648513111809, 357.7944968619272, 359.04290050355223, 360.34813444111848, 361.72055027809324, 363.87111405257423, 365.16250750020089, 365.64832401944841, 366.37906560896931, 367.02671524802753, 367.72275532665793, 369.75212714716525, 370.4222634267245, 371.55946349039448, 372.11327182788784, 373.50593780970814, 377.28566497888852, 379.50095966910817, 379.96014464938111, 380.58039154976098, 380.65618077436568, 382.01392611590586, 382.19794470525136, 382.73335398327993, 383.28976877648324, 384.01334029258419, 385.31236722298496, 385.92813760781206, 386.05527646245565, 387.97597316629771, 388.78293203154266, 391.95106758146301, 392.78699158045083, 395.01214142256032, 395.15174583954558, 396.11815325117999, 397.17919789639268, 398.52393775960292, 398.82691052078263, 399.55253536650656, 401.73588274283048, 402.72810035276592, 405.70565608488204, 405.78453627930355, 406.84859615897386, 407.26450799495217, 408.00283215365437, 410.24555334235129, 410.82601340649325, 411.69105826367456, 412.14609508333376, 413.44739075215784, 413.76623040708085, 413.91307968027621, 414.10897442919048, 414.62209007555686, 415.87089586007534, 417.62154595000499, 417.6442091257004, 417.98731859560797, 418.10211218954328, 420.30448651145718, 420.34407184512355, 421.16088886935114, 421.60135316464573, 421.6661597957812, 424.0426141024497, 425.92992304924582, 426.1780205754838, 426.50715356435859, 428.06950992009041, 428.8955472189736, 430.16638180487314, 430.84418186867407, 432.98091077421901, 434.02783702991906, 434.97300330224414, 436.64184421961158, 437.73365959954589, 437.91817737915289, 438.97201586772928, 439.146478742505, 439.68431976423204, 440.10831994428048, 441.22142998297147, 445.01833876872371, 446.12293792216798, 447.30992776287218, 447.36616846038078, 447.84400877766944, 448.33291807821047, 448.83296971000766, 448.88021802472309, 450.10613354094096, 450.30202373890518, 450.94936940680583, 452.30336536342838, 453.39592240982984, 453.87171108269638, 454.77260983961355, 457.35005190462294, 458.1553192157441, 458.22292767631791, 458.73898922796491, 459.11426786850001, 459.18610567946263, 459.94226390939644, 465.25203030007356, 466.9560496098365, 467.54308426499784, 467.82897843142155, 468.92417128091995, 469.06485550597921, 469.20993621528487, 470.16492630555786, 470.99032911495146, 471.69503122190417, 471.86775232120431, 472.74020989529782, 472.8484878752393, 474.02596232435377, 474.26645965860212, 475.3049914544892, 477.59156683077532, 478.69810336624846, 480.8125454938471, 481.75512486017323, 482.1037674258688, 483.19106271934618, 483.92548496575233, 487.6570425024766, 488.85538161597367, 489.20131486283566, 489.77852054379582, 490.05396432336971, 490.13287035801159, 491.3736702812493, 491.4618238287681, 492.02276503286424, 492.26070422333419, 495.62030791174703, 496.31680823926399, 496.9306134453908, 497.23898255616359, 500.18866661113765, 502.39026641011327, 502.8791818633735, 503.00555499319933, 503.87319062865583, 504.12524150439037, 504.50264744889552, 504.84263716634746, 507.1281705492998, 507.15325665292738, 508.90457962486869, 509.14217422890795, 510.06724103482981, 511.23182233203062, 511.97508499089798, 513.20971615972928, 516.5808152434289, 516.82290139492238, 517.17499637007768, 517.73216297091676, 517.92347584356276, 519.67955222361832, 520.67381644370198, 521.14503821990115, 522.29430807711117, 523.48126389904553, 523.81674040403891, 524.48723040255481, 525.01870320741648, 526.33996513561942, 526.43211317815292, 526.91704939564272, 527.62931542555305, 527.67512047668492, 527.85699102761896, 527.94767655860323, 528.71656265993124, 529.44322582187067, 529.63643441670808, 530.3899301045426, 533.89896822589469, 536.37731504325859, 536.8689293572877, 536.90013824154869, 536.96602864270778, 537.17403059166668, 541.08922467124739, 541.19779955756223, 541.82607776352938, 543.14493023297348, 543.29009048938065, 543.40371546950632, 545.15056435138945, 547.81608080110527, 547.89423514584792, 547.9895571777256, 549.82310512231538, 551.31479853127814, 551.37652443410707, 552.05973891856934, 552.71397693642098, 552.76361521614626, 552.84852876850039, 554.70479515569434, 555.05745960624961, 555.42029414788567, 555.85999754478735, 557.63125527987006, 558.49447664969136, 559.69314577106286, 562.51434787649532, 565.76885944379046, 566.97141492518983, 567.22511375900626, 568.07957081155814, 568.76246165592511, 570.31583806297033, 570.49384372876034, 570.72721009601105, 571.23733065378951, 572.89974819677252, 574.94487770651926, 575.7541003609042, 577.0962243579977, 578.13116513316652, 578.48591408846391, 578.95350506353657, 579.52900843232328, 582.74687555720618, 583.1427671687901, 583.75804703909637, 584.21539267417836, 584.98645930935072, 585.48045019613403, 591.98282959429264, 593.22374354922511, 593.97895037314709, 595.46548524237176, 596.53178278266182, 598.53751824597339, 598.73232930837355, 599.9795233075879, 600.76984031804045, 600.96803396413316, 601.06442749281382, 603.56671154919923, 603.71685308124211, 605.49709157954203, 605.79194045543898, 605.98304897999208, 606.24243468880593, 606.4788988561279, 606.69796370426229, 607.18468183648577, 607.2243960075981, 611.18638831486953, 612.2703263240403, 613.92994843939721, 616.74101033967145, 617.95015191552102, 619.13583694921874, 620.26088551561543, 622.66886219045216, 623.64360787412886, 623.81698434890916, 624.10897577267485, 624.80264493459742, 625.24065880535591, 626.09068338162751, 627.56801689333372, 627.94303346045501, 628.8629972205548, 629.39777625045235, 631.00823184224475, 631.31333196265984, 631.55808307683708, 633.98526201846221, 634.02852718963811, 636.22222931152908, 636.4149194003071, 637.34041085927026, 638.19988169970532, 638.50405269637918, 638.82914505008159, 639.31656555883967, 643.14184405849619, 645.59179565488466, 645.6745944371786, 645.94354636194794, 647.12711817938646, 647.38231056122675, 647.53193308599737, 649.0593308656031, 649.36966926940886, 649.61951575932881, 651.39146610308273, 651.96401924830445, 653.78419331861448, 653.99416799145786, 655.65224590348373, 656.44192255718531, 657.68532823210569, 658.06151433543721, 658.46625576054407, 658.59037199808324, 659.27998970870601, 659.54072609881541, 659.70286535275989, 661.04560056091452, 663.59472314990524, 667.79944705401249, 669.54518540919537, 669.6140708659384, 669.99368113572132, 670.09976913131948, 671.31328358624251, 672.17715457231225, 673.81604918040102, 674.02421467566728, 674.96324920327186, 675.06745466593043, 675.25554992944365, 675.51426874039998, 676.06548129088208, 678.64302614583767, 678.95864704870087, 680.66948555950557, 684.55981625813661, 684.94360557780146, 684.99115893800706, 685.91686797398779, 687.13578211397828, 688.01756651924609, 688.18461561771767, 689.88574009063313, 690.49034804443988, 690.92090434435625, 691.7237152761644, 693.14317523688794, 693.80265146368345, 695.55210063046479, 696.49672063715627, 700.15931379449034, 702.63949246068819, 703.51388639416666, 705.29268156375849, 706.65177410014905, 708.89924286081862, 709.16100007102852, 711.5548290561253, 712.80792401609858, 713.26782283204159, 713.29429337234728, 714.64452004734574, 715.64155160280825, 718.11084679865542, 718.42906786380729, 719.45968372704135, 719.81867422579683, 719.87826241146274, 721.59084097805817, 722.05996720264761, 725.32397436254439, 725.66030335524545, 726.59262892493336, 726.87931890497123, 727.51348667463526, 727.63355412357305, 728.06045281855143, 728.10479283206382, 734.1252232344807, 734.73876724126399, 735.47570463812531, 737.91472619930903, 738.06877620040336, 739.69897955475176, 740.89102026416947, 741.61942064595348, 742.88748957208384, 743.31531640522428, 743.89447169317305, 744.20838167275292, 745.38231224357173, 745.87468373394654, 746.18192684913367, 746.90279564148113, 748.17124523710288, 748.48491225454086, 749.25306182000497, 750.08881813773053, 750.75952258927202, 750.88781065675289, 756.34213816785177, 757.5648385281969, 757.9286949083471, 758.69442679121858, 759.23973314862008, 760.80553213358485, 760.95628450249342, 764.09164005801756, 765.32038726587393, 765.63973758943052, 765.95945584630294, 767.62522308533016, 767.86650775499447, 768.56586521578197, 768.79726094450018, 769.75728970717012, 770.01166106996368, 770.52249796981891, 772.86740941589278, 774.53055475757992, 775.65284792616876, 776.63515607725719, 777.71062718674216, 779.04848863413577, 779.3320929552882, 780.26341382406531, 781.58053634898545, 781.83358122698621, 782.47353276752847, 782.85082424102461, 783.38761501381737, 786.15449639058045, 786.40267632665643, 786.57920367734926, 787.59452311985046, 788.08056909812717, 794.0247813947318, 794.5483303471317, 795.31128290322442, 795.46760994443696, 795.89116510590043, 796.67908386168733, 797.78273418706783, 800.28810319808986, 800.42554995600631, 800.80247909735272, 801.88872384747015, 803.14539303003266, 803.19664952644393, 803.44231330468324, 805.15901166499521, 805.51195992883038, 806.18597437758342, 807.03377104943013, 807.24476514703906, 811.17068034016302, 812.76687131092376, 813.10418107831526, 813.37940788857065, 814.36801675056188, 815.24728433899361, 822.12306370040085, 825.21836457566451, 825.6534868361972, 826.77772377869246, 826.9538797828792, 828.31976389111969, 828.36789853636003, 828.67961980088535, 831.83002457800467, 831.92464879276224, 832.48879002943727, 832.56208053443413, 833.7550917416753, 834.92586280476507, 835.00728522052452, 839.09328977428959, 841.45865264720658, 842.69580566541288, 843.07955550178144, 843.13745150948148, 844.41354828624776, 844.90873453657161, 846.31740472294973, 846.4968777948535, 848.51381525662248, 850.29919924912952, 852.08202571784989, 852.31818979440266, 854.32220223792444, 855.11884704836177, 857.27224322160521, 857.58671220035444, 857.78491889760426, 858.92293528144182, 860.71087870627184, 861.89671846354213, 862.66462643345005, 863.63322365034742, 864.13309184766922, 864.61759083336858, 864.75141619704186, 865.02747678023138, 867.60957175572059, 868.33065678947617, 869.23341844065317, 869.67621900004622, 869.98293128128512, 870.25535756277611, 870.63900718106709, 872.85386915274626, 873.07703300616822, 874.60490140858633, 875.29752727869754, 875.40604251535422, 877.19816411033503, 877.53229514278371, 879.71824331370772, 880.3188648133887, 880.50784769742938, 882.62565385048799, 883.27498440898341, 884.55469824439808, 885.36635320200082, 885.7191254997914, 887.52192085522518, 888.8200975592008, 889.47823613922174, 891.53825674393113, 891.83590663052485, 892.82106760259956, 892.98637097584538, 894.84145409234441, 896.45239525502348, 896.50708599484574, 898.1227744508343, 901.74344410052845, 902.03248325319271, 902.41248672513871, 902.51134974565662, 903.11016955966466, 905.31265613485289, 905.45844260081333, 905.89983546977487, 906.51459371731096, 907.45762650812708, 907.81159824267513, 908.66177078942087, 909.28996378716147, 910.59512015084033, 910.72791874548079, 914.12586140941767, 918.11800757756566, 918.41270113797793, 918.97109736170114, 919.1163892406222, 921.30822025059308, 922.34868019660178, 922.84431052593334, 923.27034674593517, 930.54839913451201, 930.69668996196253, 931.61162092820393, 933.04951556851267, 934.08237225375285, 938.46012469546156, 939.26486840890982, 939.8519736035297, 939.93582660999175, 940.49327894625742, 941.13682031071392, 942.22197185349216, 942.30424772416677, 944.82380638998336, 945.61876081355183, 946.09011235238722, 946.24517201971003, 947.74084714025264, 948.30881203997876, 949.25799299268544, 949.8844118003575, 949.92851744287464, 953.26111733493212, 954.04421475951619, 954.32492253692953, 954.68681661708592, 955.64789414602285, 957.89591521832415, 960.00873002185551, 960.64704589637415, 961.40917229149954, 963.03490047232708, 964.34031408589294, 964.62486906453478, 964.88058685293777, 965.04773738063761, 965.59999040657931, 966.20655638425592, 967.21565012484916, 967.36544204135441, 970.00403126559002, 970.62563155830162, 971.04224941850237, 972.26132079730894, 972.85473663710684, 974.96320128078548, 976.58759266526988, 977.28960207907357, 978.1310970421232, 978.44044106632373, 978.48849022564184, 981.0265832035517, 982.28335700518073, 982.91539188946047, 986.41370587329629, 988.22788417412505, 988.9829135056774, 989.62647616027175, 990.37102037381271, 991.05661464756474, 991.86998595237139, 992.23822548237354, 993.15149882919104, 993.29087610054864, 996.33078301539433, 998.86692930120091, 1000.0313509410547]),array([13.100274179857262, 15.358068756551397, 15.720317320974237, 16.206272029819878, 16.888947346590879, 21.282847556155225, 21.829591371764668, 22.345822816519529, 25.34487280416424, 28.02072310621363, 28.104106763346611, 28.596195833270603, 28.764004189086702, 29.258719213749387, 29.586483160139554, 31.934228145819521, 33.143920995961381, 35.686567101192857, 35.789994929941898, 37.165326719493663, 38.895302999717956, 39.33926934615863, 39.580310495878642, 41.374681737869921, 42.519294991698331, 43.931670550633498, 46.164304633558984, 47.738443744557173, 47.771047495890514, 48.147846244015298, 48.397331885066023, 48.634011499979806, 54.070776646116521, 54.486402451362245, 55.731634888708783, 56.249122597957232, 59.219998392058322, 60.284219388206502, 61.13876336110301, 62.663584507504716, 63.564533798479637, 64.216246235715374, 65.451413195971327, 66.909368338146407, 67.988076311075062, 73.48001166791461, 74.289553314519225, 74.745422186146698, 75.217620337428954, 75.954604088566455, 76.573711616588227, 78.385719537663292, 78.868814106821773, 79.3595035771732, 80.068911969522105, 80.925459861916337, 81.878850033267796, 82.472741000245378, 84.549262157231666, 84.66764959739443, 85.43746640581405, 89.69985763114488, 90.441020804718221, 90.654154627745314, 92.318866852495105, 92.499527742825677, 95.599886074929046, 97.076794035145753, 98.686559218573151, 98.89413811760113, 99.070767086865715, 99.438455678339238, 99.514714174568567, 100.90698162525661, 103.09220517704999, 104.03066551602474, 104.23907600248289, 104.30889849695701, 106.12158916226579, 106.33227215314459, 109.60427703033446, 110.1403368437928, 110.43739364497743, 110.61804170432549, 110.80883841364981, 110.86124094669977, 112.23020386630007, 113.01644362346914, 113.25331041794739, 115.63929470194437, 118.09061001805397, 119.35312612897863, 120.16962951960392, 121.94958586068554, 123.11454665593307, 124.70159206299206, 125.45822924713632, 126.15125344647977, 126.38343430601674, 127.24038481062549, 128.24713231203992, 128.36520466256266, 129.66489543866791, 130.33610579536915, 131.50413180829693, 131.59287569488842, 133.08195176393656, 134.76210858567313, 135.66711715916472, 135.87921085480036, 136.12869016785359, 136.49115715943407, 136.68150354827876, 139.17489862800784, 140.48453119421734, 140.90697047027342, 140.9449659861159, 141.04253616506793, 142.62095570458203, 143.32887062524037, 143.38564131306268, 145.68018638123982, 149.12732683974838, 149.33636137210496, 149.8522418559827, 150.85665770840743, 151.005198375405, 151.1674159209725, 151.68397029250718, 152.13131942921009, 153.97597425338654, 156.11497560687152, 156.96298789126453, 157.56974986863997, 157.61068834063087, 158.36419856818037, 158.61355232495407, 159.43077347317995, 160.34393452235369, 161.82266338325519, 162.31978186105445, 163.98999525909906, 165.17607066868479, 168.68328125243042, 169.134201511588, 170.98898717038938, 172.02894224437324, 174.68726063675439, 175.79939068380617, 176.15423071423118, 178.36601161940305, 179.72158602271705, 179.92286339971005, 181.64141480587361, 182.25565336500884, 184.44941265914071, 184.79059550145337, 187.08513289576695, 188.0229441503611, 188.47599285775433, 189.33395569684345, 191.01289423126318, 192.18150208239595, 193.02598020430975, 193.74887059319019, 194.55170846397598, 194.96503706568731, 195.59933838736245, 200.09537664503802, 200.16414087331813, 201.97699754244883, 202.26421427204929, 202.54502327861874, 203.04207987433162, 203.59942763836185, 211.9405463623398, 212.21189941412382, 212.86266019114467, 213.90563882468408, 215.94605317269873, 218.15017177922897, 218.3499673568879, 219.45748349879315, 220.4510789740963, 220.5109183584361, 222.07321011859108, 224.44367984895266, 225.00533321251746, 228.62261628784051, 228.82126062944926, 229.1452241013433, 229.90999248495888, 229.95230496993679, 230.49871545444773, 231.1512204353092, 231.73837021840947, 231.91485606074113, 232.73382280264829, 234.48768784005142, 235.3031195761518, 238.50671690329312, 239.97552696544463, 240.50094349954048, 240.536649117254, 240.76591357061909, 240.82607978397911, 241.62449998819011, 242.15535789432204, 243.11329075451124, 243.85019240567874, 244.71720610930214, 244.91974591185269, 245.78580363504631, 246.76280776724374, 247.24933538711699, 249.82671629051717, 250.21896249871702, 251.37108461204676, 251.44371676132741, 251.64983793527077, 253.4647723467514, 253.58723384455757, 253.67262941561989, 253.75096937980763, 254.66403982343618, 254.90076096109041, 255.63622302328287, 257.57098764551927, 257.77771376946959, 261.04770348813821, 261.9355311918012, 262.21700453021953, 262.52412165866929, 262.61581243658918, 263.61505303214039, 264.48973444623113, 266.97260134751838, 267.33315085908418, 267.40361085446028, 268.30009871427353, 269.26818018077302, 269.33590886167815, 269.93449775484163, 271.85857412614325, 272.00654046665528, 272.30853049735776, 272.70395111917111, 274.96424583807197, 278.54518766103359, 281.3568512988906, 283.17973925623841, 287.01763248368223, 287.37727131769009, 287.60557516985278, 288.06370304248719, 290.02457471499775, 290.11964799998941, 290.18210572409333, 290.37448162244181, 290.78867402189502, 293.67029811231646, 293.9917846786002, 295.37481990139429, 295.8972592447189, 296.05986049937189, 296.32439563844247, 296.78961437270226, 297.49410279096497, 298.71362665561702, 298.80171567514668, 300.24119879158621, 301.32354344934606, 301.752929146653, 304.15238205715667, 304.17531467000185, 306.04522002909283, 307.06377689624225, 307.3794452245204, 307.46439290344279, 307.9240318401603, 310.1853019638848, 311.48604205647052, 311.58907495266419, 312.85426636110952, 313.56096642413598, 314.41811226149127, 315.22773652887435, 316.3990509059841, 316.58108924598503, 316.78477958473303, 317.91395812104741, 318.05698425975424, 318.22907732677163, 318.78222160515901, 318.84254298481926, 319.44089183944874, 320.7223555497086, 321.2248689701982, 321.59156454918923, 321.64164491571518, 325.83036743073848, 326.21437816074086, 326.57462029610747, 328.03325789762806, 330.9794344770321, 333.30465029266719, 333.54651059869951, 333.89254708443161, 334.82751553302387, 338.09755990835907, 338.62099458458016, 340.02624526473932, 342.15833133818364, 343.18149574296717, 343.6809704307143, 344.49436142775403, 346.73883000074159, 347.30545135718245, 347.65606149704598, 348.23856963720579, 351.87771301859715, 353.1055201108386, 353.25708255970136, 353.70971965919773, 354.03012988642229, 355.05716504771692, 358.047390876919, 359.31054659106542, 360.06737550358696, 360.81685783407812, 361.51537975383627, 363.29339329705192, 364.17907170339299, 365.97611946120242, 366.96604867234595, 367.93995448148411, 369.33331145846279, 369.38522094228466, 369.68759274234571, 371.7910797281055, 372.110776830036, 374.09507817264654, 376.76782665498814, 376.94291133733776, 378.06491492122376, 378.67131263058076, 379.74867977178661, 380.39424078739023, 384.90030939512224, 386.09203772252363, 389.2546532021654, 391.47407106894116, 393.20283782494812, 393.29266801083526, 395.64203217270278, 396.34307452757804, 396.46494805288205, 396.58119343150622, 398.88719463187294, 399.13866541971009, 399.84351316147246, 401.80633667445494, 402.79253145540218, 404.43192474073038, 406.5917781755287, 409.45746138851047, 410.21703555476108, 413.35136328293515, 413.91654120733659, 417.38545405441897, 417.63027132962787, 417.80466692555848, 419.02414868479207, 419.7456081851056, 420.48547783432349, 420.75690872836014, 421.06553368580944, 421.20797027918303, 422.0279023045951, 424.77563000186211, 425.37198182979552, 425.85646236753428, 426.51752936985872, 426.83327513591325, 426.87659800765567, 427.13330011951751, 427.61279415201523, 428.05628058485416, 428.8301602821295, 429.60505780875832, 433.03471863472095, 433.09821464403194, 434.5338475522517, 434.55475469617727, 436.97556002109951, 437.44350217574686, 437.55171430827778, 437.76047533840381, 439.62645130395208, 441.38978310356515, 442.25413023975369, 442.40144931909305, 442.95120952544409, 444.18580965402526, 445.95856775577857, 446.2993564713405, 446.94046635379738, 447.21548899274313, 447.87791688453092, 450.45030954473674, 451.34535297027855, 454.68877508371713, 455.01146969269354, 456.63688045210756, 458.89418695009095, 459.00147726211719, 459.56047904319416, 460.06106597936832, 460.66399217519023, 463.36617585972704, 464.01555905032956, 464.27983863273249, 464.72909961046804, 464.86732447894394, 465.52487567288273, 466.49908183695703, 466.55347540466806, 467.30536155017739, 468.14588043059899, 468.52994996488411, 469.37270731923604, 470.88796753438118, 475.10345203113781, 475.87763681691837, 476.14209774811536, 478.63639072968783, 478.96453169770717, 479.25123625697768, 479.62558682762284, 479.9269153086542, 480.74350466753145, 480.7745612723017, 484.9520179422604, 487.12325710221489, 487.59136880645764, 489.09383540782466, 490.21128534277369, 490.37708380591658, 491.11102346806251, 491.79080046089359, 493.33332242861866, 493.614212006824, 494.67842836786872, 495.74970403436515, 495.90412415267349, 496.98119902778183, 497.00379423647701, 497.93053493569272, 499.21606036340501, 499.40086222153866, 499.91496384328741, 500.05667661366613, 500.43631193410391, 501.83782785136975, 501.89326106192794, 502.9587222419791, 504.53482547120683, 504.90686692241707, 505.50958182760922, 506.36206535862306, 507.76865959735881, 508.32686635031405, 508.46473193750791, 509.11508251411891, 513.16165487275453, 513.34188678694704, 514.0076161292792, 515.16403066143721, 515.60531438334328, 516.29877618929834, 516.44583008544646, 517.97727168866209, 519.19869691320162, 519.36785125206097, 521.24399829945855, 522.49386741934654, 522.65754804951757, 522.84658428334603, 522.900595980866, 524.01117870052747, 524.763580705663, 527.85774168502667, 529.74294395313507, 529.97518015485036, 530.57484247285993, 530.65185207762033, 530.85206842234106, 531.05674678772095, 534.08363170443226, 534.44071890317628, 535.19614463301275, 535.32313016656724, 536.25830642291146, 536.41618255133017, 537.23631716787838, 538.10638588654706, 539.53226729759069, 539.85268604260239, 541.39846370557154, 544.49035035043391, 546.39572103799219, 546.67108750296256, 546.96918073888662, 548.28882693934565, 549.62335056928987, 550.07468090867883, 552.01417531429331, 552.23682584948369, 552.59523614653949, 553.22752814824412, 554.33179358993925, 554.45881098634641, 554.7283991909585, 555.15132345809786, 557.07674780903358, 558.66826457872651, 561.15138994206109, 561.19138499222652, 561.30825548396047, 563.41897004030341, 563.90985922960965, 568.37226142663167, 568.94511534444518, 570.35038486130145, 570.6087785546431, 571.55745223949577, 573.63741799848651, 574.72014289443291, 575.03840453210603, 577.45615911520429, 578.01861081178015, 580.01699753876142, 580.21084621884188, 581.41194859421967, 581.58598116240807, 581.90257859653002, 583.75578902663233, 585.65768828826538, 589.49829403804949, 589.51928453639096, 589.59808928765642, 589.83184123693229, 590.75037711622019, 590.92691965229892, 591.1513359622644, 591.50870960803195, 593.02092105737017, 594.73462256069013, 595.85065266272329, 595.94975530416889, 597.2703783739214, 597.84023584403951, 598.68568432706354, 599.87274421077154, 600.17213366675765, 601.69725514003949, 602.7264607451408, 603.37146698848028, 606.58790132547779, 608.47616572686081, 610.37630510016618, 611.2635242943345, 612.19716835977295, 613.16015946580887, 613.59805193995669, 614.63372341205672, 614.87895583644809, 616.21729994875261, 617.80933587825234, 617.88889449277303, 618.28939251258282, 618.4914547694957, 619.61436450749454, 619.75719005596955, 620.27635403233876, 621.38638811580461, 622.32243620429256, 624.41465725089984, 628.44194698231411, 632.58557465646652, 633.48874121913389, 634.49542653662718, 636.27627232220755, 638.40389690738891, 638.92646075480195, 641.66365665850105, 643.67916872865601, 644.81199424278327, 644.89528604579516, 646.63315665892992, 647.23275416797776, 647.80851926273306, 648.78508003565992, 649.85187255473568, 650.35808056716019, 650.43238577305021, 650.91039692315223, 652.12428859039915, 653.01029258080325, 653.85503121353793, 655.15257280716628, 655.46429139141003, 655.60648018334678, 657.19007334393598, 657.95838132513188, 659.09626382116949, 659.20793735797963, 659.93744518189123, 659.99552374432074, 660.89721963596776, 662.43665498689586, 662.79518742189953, 663.10005607883625, 663.89413647207357, 663.96990235540272, 664.47888115315197, 665.58225898659407, 665.94057042947327, 666.44009656791775, 666.94301205894089, 667.32264603828003, 668.69869634770453, 669.25090413540522, 671.30337457767314, 671.82320064330497, 672.46436874676181, 673.61710947426218, 679.481566904136, 682.49402373765668, 682.54490598016912, 683.70146091162951, 684.07775083584409, 684.76428102751379, 686.7198866600969, 686.78930049086307, 687.2824169083076, 688.18152350776825, 689.79972696673883, 691.70437692249118, 693.01195291167551, 694.93111764746891, 694.9634202805139, 695.18373955103516, 695.5379515753699, 695.76272421599242, 697.77713442521258, 697.89149271574684, 698.01218176417171, 699.10633435889656, 699.4044891269881, 700.0764556861576, 700.58740176346657, 701.33958062519969, 701.74447389930208, 702.10446049465861, 702.58789409390067, 702.95450356478057, 704.27047572254162, 709.06436251165724, 709.64648073700744, 711.11201040692367, 711.66007468112014, 712.33478579649898, 713.87681187694272, 715.94691874220678, 716.12301458990953, 719.62316228619545, 721.03063762774445, 723.12758252189894, 724.80008206603645, 724.85647205402847, 725.6671777909097, 726.03344512302624, 726.22667662192146, 726.5033363725679, 726.63587775043368, 727.23575092831243, 727.50213490402552, 728.48768948462816, 729.93748340611432, 730.56681939641123, 730.84439122939727, 730.86832184360935, 732.82184880316606, 732.92777055583156, 738.26742562895515, 738.75897506003207, 739.36621668840769, 739.6915238375534, 744.36252034598726, 748.29663304474366, 749.72346442847788, 750.19623486198145, 750.63289466116066, 752.25069778893089, 752.40295057208289, 756.99869921840536, 757.51469088009082, 759.7993394529027, 760.25721123740163, 760.31296658096539, 762.90081757699852, 763.49159598342544, 764.09404769806793, 764.55291294109429, 765.45230151093836, 765.91728958962847, 766.31169817553473, 766.5621710915176, 766.75167044108809, 768.46615570937797, 769.86646905670432, 771.31119013293494, 773.18419667525359, 774.49961056929396, 774.81466471666374, 776.04831825743906, 777.50754634778036, 778.98095163741596, 779.16485258655018, 779.35628267202185, 780.4073454647795, 782.18303993872951, 782.53977468712333, 784.25725825745758, 784.64552666703617, 788.28428740287882, 788.56259332608738, 788.86028584293024, 789.47646211663039, 789.83137969722486, 790.46219339286836, 790.84228055825247, 791.64046653849857, 792.40982828832057, 793.47285563409457, 793.81208096334581, 797.2347730470816, 797.68771476470579, 797.89992071551501, 797.93273035743562, 798.26610914258526, 798.49305800286834, 799.04339189729819, 800.02692698796443, 800.3520207762665, 800.44617685886408, 801.87177656978895, 802.41640524148374, 802.48913284089099, 803.01453983655779, 808.58757046545463, 809.92092887649108, 813.58444279882337, 814.07126789403412, 815.84197437580985, 816.92324658030589, 817.79393377022757, 818.19212078856583, 819.67169223512485, 821.24034706930206, 823.09171532028358, 823.91622755748983, 824.07212461886968, 824.10342275231142, 824.70103969502691, 825.23849451271155, 825.6005925275698, 826.34528396813664, 827.15929435113821, 827.39479295174522, 828.55322302092065, 829.02108480933407, 830.32776981701215, 831.88098021826772, 832.34564535712889, 833.20465477516836, 834.26610747605878, 835.30613394102329, 836.67661509956349, 838.79356553515106, 840.95377415116195, 842.97262067675058, 846.2138641236163, 846.76239999050529, 848.09363840070705, 848.27856773424969, 848.42175102599742, 849.27973375032002, 850.27019783335413, 852.46317937233482, 853.94664161877279, 854.3520504598107, 854.53105652945317, 854.76354299388174, 856.12586592143032, 856.49851660481477, 857.97742536714998, 859.72328987139656, 859.76163431116424, 860.23980563627413, 860.57250472983696, 860.87656102185747, 862.3966209891986, 863.51160852086798, 864.2385672262983, 864.40248036911635, 864.49440519248958, 864.71335508468746, 864.79021633048478, 865.37792422836208, 866.65831168512341, 867.0375203097741, 867.24959012289435, 867.58219366621051, 867.83095630528703, 867.90573363785109, 868.01658648706734, 868.13830270852282, 868.31484569192844, 870.9489707392521, 873.55972081338336, 875.72215548032148, 876.23776286231555, 876.68582095999147, 877.87392736732204, 878.35504370709032, 881.64880207765736, 882.49267709566129, 883.5559229707892, 883.74401506722131, 883.86075325318382, 884.34828877129348, 884.85276136990058, 886.02571968142558, 886.18133286815134, 887.03442339294975, 887.22629995965588, 887.58126643374703, 890.12457909022339, 891.36495723824532, 891.98071672070921, 892.21052777406851, 892.29682487626985, 892.69998456122789, 892.98350606957433, 893.37343365852485, 893.39354750147197, 895.06810041110305, 895.36150273777457, 896.71109612246153, 902.23137858948712, 903.02991473670158, 903.58594699569051, 903.79437950041836, 904.45405296015679, 905.32605164116433, 905.77137065988097, 905.87441411041152, 906.42327428175986, 906.79147062609707, 907.94355597887727, 908.07430220420747, 910.56541245540893, 911.67506299693423, 912.22768591925592, 913.57171448682152, 914.95460876157676, 915.74241475824601, 916.76838229740167, 918.13157201147726, 918.69838930391506, 919.97071745593701, 920.55514284886215, 923.86757597337782, 924.63980229930598, 926.32968204252472, 926.72031562806353, 926.8176840606676, 927.9053409580431, 928.32945943384414, 928.54331807910694, 930.88216263272284, 932.28600923812576, 932.52868296927068, 935.85050063191056, 936.47823214371545, 937.86928050090091, 938.48459026367755, 938.73057260741928, 939.27115450889096, 939.61813116422593, 939.76716539135623, 942.31530713237817, 943.10820007315874, 943.50984766573015, 943.97330874539171, 945.13953618094399, 945.35233300827224, 946.20451456259082, 946.24508780402368, 946.38564885387257, 946.66889974093544, 948.50334643123665, 950.88392557466102, 952.71035418821657, 953.9302401232336, 954.17187949602999, 955.14836839368775, 955.53503627668874, 955.77359723695918, 956.15029670099057, 957.37747934620415, 958.89878206513504, 958.94203258912569, 959.79857741480839, 960.34449996787487, 960.43235735048347, 960.49040645335629, 963.49321340540644, 964.08942644318324, 964.17411637504415, 964.33611687932228, 964.84408589794089, 965.13453362761152, 965.42836337540143, 965.78892301319627, 965.95482353401053, 966.34776857392649, 967.31286366516099, 967.81150990166861, 969.23696360499127, 970.03131848088742, 970.74608238209862, 971.19010575741288, 972.20468682053138, 973.15930226238049, 974.21595641424835, 974.31095732104347, 974.73799774638383, 975.33344911116217, 976.76139473395358, 979.70372533782086, 980.04210948537673, 982.88358613626144, 984.24030574756102, 985.29321340239051, 985.49082429640953, 986.08165018516434, 986.13920995341368, 987.40629151656606, 987.48488085045324, 991.62105601458472, 992.29043886333056, 993.28457740174747, 993.88922203159711, 995.70571832966652, 996.71221923530879, 997.88365966020422, 998.22558811885517, 1000.1192531530071]),array([74.520822748884882, 77.983627285905769, 78.360766710037566, 78.457772856196925, 79.25501360876099, 79.603955444785882, 80.180126575443609, 81.440265519004711, 81.799591534615971, 82.551056605466215, 84.661164221417366, 84.773929137516674, 86.122066255722729, 88.528379892615533, 89.204999903476789, 90.649291348096369, 93.865468546438251, 93.972099403859346, 94.400584825341696, 95.785918346808941, 96.749004972124382, 97.265277261522186, 97.606359130869379, 98.071825262583218, 98.364502101111569, 98.5768112254747, 102.753278489739, 103.50959090838153, 103.55927865430553, 103.76785940452199, 104.58405396828297, 104.73609818850878, 108.00373757022192, 110.17319038317417, 110.96215068278461, 112.17206852805657, 114.3902072738893, 115.29965246024189, 115.78174686231597, 117.19333747746222, 117.41331310648197, 119.23554876872822, 120.04533162719012, 120.76881194692776, 121.13226583628128, 121.27300715390196, 121.60166375290653, 121.87748413462769, 123.71153629416382, 124.85012639200889, 125.73186904702727, 126.18656879483008, 126.91449629298808, 127.59643851544206, 127.81583891733884, 127.87417470285934, 128.56618893103578, 130.4380900571106, 131.91211671654096, 132.75266240392017, 132.97320281609362, 134.4737790624192, 135.07962134379915, 135.26366044650936, 135.77914764033736, 135.97345554108796, 136.64854032250605, 136.67387680888683, 136.77454435938904, 136.87447426383667, 139.89226657048599, 140.26056664655263, 141.92954981540717, 143.0991408858491, 143.62735076095115, 143.77752128193129, 144.58592225953493, 144.70642270175796, 144.97376141020584, 145.40553905436818, 150.78907009351408, 151.29704204680235, 151.73859424146619, 152.86326953000369, 152.97379343057065, 154.77519633721312, 157.17674904079587, 157.27466833546939, 157.51643883458166, 157.65464912929002, 157.77406274487251, 157.89961189745577, 158.73241846326539, 159.33317900577364, 160.09730749289048, 160.75808582269951, 161.63139566430706, 161.71863467801407, 162.48982368168902, 162.51382438545309, 165.34332403714512, 165.92892222412135, 166.28087822654345, 167.17890387281096, 167.81464593037055, 169.55120216623683, 171.19543482743913, 171.85203043611537, 172.2861711817819, 174.11802767920466, 174.32604254563606, 175.47512635671629, 175.72163600672701, 176.06498778150507, 176.42756150618146, 176.88151918341347, 178.38920546598246, 179.27944633396106, 179.82970989010889, 180.29499383109462, 182.05840565728957, 182.34682831828238, 182.77231356817495, 183.80968122281308, 184.70179726079391, 186.66332371741831, 187.13620425126661, 188.51015040576092, 189.57548316588668, 192.54340668130513, 195.31435906320186, 197.62626154746224, 198.74706626636925, 198.92321043447578, 199.05080859622808, 200.2711733485888, 201.45828161365986, 204.72619727991844, 207.17408638264632, 208.15801024837609, 209.05746776978378, 211.40940664794604, 211.61559214884173, 212.3485996814488, 213.41957899863903, 213.94425013083767, 214.94239614903432, 215.56161422544497, 215.71545731927358, 215.73594733249411, 216.98441848883891, 217.58879988521861, 217.85486519375726, 218.85426253947713, 218.93934238372012, 219.95396497133135, 222.52553065682073, 223.75508725919465, 225.02749792418734, 226.52419290720738, 227.40086297722212, 228.52685589293159, 228.59593990152956, 228.67705917240343, 229.40880900901405, 229.68046195028558, 229.73952946139943, 231.49042439690834, 231.56980432324153, 233.36022878011693, 233.85374709417712, 235.20542605502862, 235.47486424570263, 235.84790160712683, 236.35525593034845, 238.01080110376611, 239.06720131616646, 239.28084059832955, 240.42522920075382, 240.82368478825666, 241.74643908822148, 243.66366838143946, 244.7157302120049, 245.73634468793591, 246.92195241528165, 247.55128282017165, 247.58644253730233, 248.24507104562738, 248.95877207970915, 249.80373195440748, 250.16417579085092, 251.39500815833216, 251.97184830828661, 253.70080890254292, 256.85984165328034, 257.66363036664251, 258.97965480493338, 259.66624235676966, 260.42731193535099, 260.8158581199275, 262.27129670383499, 263.75618627673435, 264.20045771342888, 264.46032665726585, 264.48840823661385, 264.72107404481324, 265.99091201846687, 266.97563554381668, 267.21603887815746, 267.83547137015552, 268.04648638087065, 270.07851288859041, 270.55134034112456, 271.12538120515273, 272.65027481362597, 273.32142858060968, 274.06450860577633, 274.31210756093401, 274.83303003011491, 275.53159867628005, 278.28944734688065, 278.88309057611485, 281.76320706168218, 281.92479671511654, 282.33864476773925, 282.39434184999789, 283.1029826337213, 283.51474210788899, 284.13061265742999, 284.18204274450352, 284.64107050411172, 284.91616900086166, 287.76622464284981, 288.26366514587568, 290.30327107915662, 291.29044429605057, 292.01328242299934, 292.04322297217277, 293.90990909777531, 294.47777529788391, 295.09317266356055, 296.10224751450096, 296.56409892140806, 296.76199018609719, 297.30172036296, 297.64970052236373, 297.83716452277503, 298.52556966411737, 298.96256708272466, 299.42403740764837, 299.79008221405303, 300.27843768946957, 301.44273248551303, 305.26951158107829, 305.85998449529853, 306.83292863567698, 307.40282079061046, 309.08988058444908, 309.17244166540502, 310.25286342178833, 310.50058298697979, 311.36579965291202, 312.77916037716574, 314.52378343497054, 314.58557527867475, 315.17747348664676, 315.72963635306445, 317.72804790985066, 319.07384534760507, 323.05703007961677, 326.85627817626624, 327.16570310331281, 327.2829242310267, 327.4903317571916, 328.96264980188312, 331.73174320867861, 332.87919694753816, 334.05537011528048, 334.23603026522801, 335.44543772594403, 335.90595705273375, 338.95013785462726, 340.3469767937458, 341.42353002451779, 341.86185966209013, 342.11961890812859, 343.15135971524603, 343.58478825560388, 345.87116862634815, 346.12003135463988, 348.1789736830799, 348.23175032459244, 350.49639390586333, 350.8797601463267, 351.83175896827328, 355.28396152574209, 355.89721933004392, 356.31231903572524, 356.62029685823728, 357.19260713424489, 359.63847328847004, 359.71344640664358, 361.11003467123805, 362.40144509010685, 362.77531802063777, 362.91548471329037, 363.55484492399296, 364.7067985315656, 365.10071582909541, 365.91684743753029, 367.66901994002336, 367.88956290747558, 368.71966880354887, 368.91244931822496, 369.48902381224997, 371.51041860110342, 371.56374875727278, 372.02148774914531, 375.54812882640533, 375.72596057857635, 377.72963116008538, 378.55538480100381, 378.96857999641094, 380.49175917383167, 380.80362771020202, 382.30300130658082, 383.12979389427642, 383.41786334457771, 384.06567935102618, 384.10456990643672, 384.76669176292683, 388.00329062311351, 388.68974797468161, 389.04853283910205, 390.74564753346061, 392.85244266103706, 393.56200114031822, 396.06453971522114, 396.32219492930454, 396.92460681880857, 397.11401255062214, 397.15308320401783, 398.73452780181748, 398.90704689190142, 398.93546026903726, 400.25172209052204, 400.55879479780651, 402.783121542331, 403.92028203908887, 406.06337462979076, 406.162876483297, 406.20441677077338, 406.63524933194009, 407.37961428481162, 407.45877650464405, 407.78231875636527, 407.93323972329415, 408.39433957960591, 410.2085583172086, 410.54194012913246, 410.6705692274972, 411.58623028988819, 411.8179290351365, 415.05270364491025, 416.03792945567966, 417.43955278229987, 417.68596727801366, 420.31283403535764, 421.21267162636485, 422.34935183620559, 422.49952427205011, 422.68813936103578, 422.86375812987018, 423.00654916096255, 423.19871024343803, 423.58853125082987, 423.92175956247763, 424.67292942619713, 424.78255702314397, 425.32533704198744, 425.45526151630258, 427.12721070310243, 427.74909441285365, 427.81743709972073, 432.42616369685294, 432.94303875509428, 434.79210872490194, 435.13617782843363, 435.19740010214355, 435.64209676508358, 435.75433862369596, 435.80328010647287, 435.84886738131553, 437.02802586006084, 437.41867276580905, 438.64348792214543, 439.30965457245543, 439.89273627728284, 442.46821711848764, 442.55977815222934, 442.97425066376735, 443.40547233191967, 443.47469531066378, 444.43798498851839, 445.01105330938174, 445.45196619617678, 445.75502880459533, 446.56642737947891, 446.9557570324443, 447.57238227348796, 448.67778128443047, 450.01743444256772, 450.52858194016608, 452.18644921177304, 453.32523274778964, 453.59251181614849, 454.95347769374445, 455.30070694704597, 455.36167421605018, 455.54507468005801, 456.62289884699703, 458.2533863891212, 459.57878297270958, 461.93089344723796, 462.74868631443053, 464.28244680905362, 464.51509979989993, 466.20464719922785, 467.69356993975839, 468.29429579211825, 469.6722392333038, 472.7149287617591, 474.64033138876022, 475.28961675756818, 477.1664414335313, 477.21743380026055, 479.28548082923419, 481.29324592422176, 483.39391488832268, 485.86147865958674, 488.12391056337157, 490.55985928856114, 490.66191984700345, 491.71354180136768, 492.67237546370757, 494.57816509424106, 494.63592424187931, 494.98604748064417, 495.37220326716766, 496.90533155513674, 498.11964071998347, 498.17691118945299, 498.48555681025016, 502.27154866417806, 502.41075353449241, 503.70051782214858, 506.13243483929909, 506.65566843110247, 509.01850143178177, 509.41440052179769, 510.12011519989795, 511.43646391546491, 512.14164824626755, 512.41649586536062, 513.82917909240302, 516.94568360591529, 517.50934803966334, 517.89880243547066, 518.90099997100049, 519.29738126652171, 519.80483484972706, 520.18382794906222, 523.41712293336388, 524.11370308744915, 524.2281906149351, 524.56795466875201, 525.34424634238303, 526.76553431815398, 526.92079885794965, 529.35583831930148, 533.59617559153787, 534.75351863278308, 534.92924808667533, 535.34334674984245, 535.56472933772761, 539.19781575713432, 540.07888805848302, 540.10195924922095, 540.47955375851211, 541.53280949989835, 542.10634665507541, 543.35467481281682, 543.87528416865416, 544.39446874074179, 544.59253363793573, 550.72664080740242, 550.76073427880885, 550.82505898519912, 552.10937382118595, 552.56653610364356, 554.99572851130324, 555.40106200639616, 556.21433337681231, 559.30584556235442, 559.76645803993688, 560.27909912119276, 560.48844392752562, 560.53195092786734, 561.11300881813099, 561.53576488820534, 561.80002527561453, 563.59995985737226, 563.9682640863258, 564.1773835557043, 566.08654503548962, 567.92639829757218, 567.94775210804767, 568.51861089996987, 569.03513868400159, 570.55088759049829, 570.63558115233184, 570.88620709291956, 573.39981874486477, 573.55443733260904, 573.82160167694349, 574.18212488378822, 574.23938123556388, 574.40675257595421, 575.76753043783083, 575.99669587451729, 576.36234463550863, 577.82894665674758, 578.76421890617564, 578.86360742463319, 579.01410958815245, 579.09383279440942, 579.74085546252161, 579.92152827046573, 583.11668705815066, 583.76612460926117, 584.93513589877659, 586.03813743128205, 586.14774551047799, 586.9537781302472, 588.24093844039544, 588.30491579758893, 588.50334419868602, 592.05127058815617, 592.68376058067599, 593.65757997373771, 593.94400157138864, 594.70813887531938, 595.11137299083578, 596.19760777281454, 596.30029139920521, 596.33424711000112, 596.9473905704051, 600.38776922993407, 602.27981800699536, 604.82121440930314, 605.30579844476642, 605.66031488289548, 607.16804714142268, 608.61480778419912, 609.08867668975324, 610.25175505742266, 610.369068063128, 610.76083424947478, 612.24577218803734, 613.83745698204325, 615.34902112132397, 617.25064552241849, 617.96801213528363, 620.34003810981926, 622.67728563177468, 623.59763213320332, 624.14871280845034, 625.14396906358547, 625.96123422974097, 626.60746487233257, 626.75181995353887, 629.451314454309, 630.21587327249915, 630.83710162891043, 631.08196120981665, 631.24404972549974, 633.75866377739681, 634.99773240202978, 636.36609720489605, 636.67851771465484, 637.37285698251253, 639.66831656961529, 640.0487648633972, 640.51948680788269, 643.00227061746, 643.08890239700008, 643.34286781390222, 643.96132796955874, 645.09703485563148, 647.11637386822611, 647.55892368446609, 648.1309432074263, 649.14227141816377, 649.33422401127075, 649.98195317669104, 650.46526610947888, 652.66916724771147, 653.57772166091434, 653.93477051535012, 654.15968081025812, 654.82967630848589, 654.93753177047427, 655.24176425076098, 655.27543218294022, 655.79862017474989, 655.82090418086977, 656.80343885755906, 656.89160256435173, 660.24912683985463, 662.07490266516231, 663.49482830549937, 664.2923466789556, 664.40678952383973, 665.77866091679812, 667.79089493166475, 667.94615188046942, 668.5866430328914, 668.89921901509433, 669.89817273382039, 670.48218315973327, 671.28099360562965, 672.15201322004043, 675.10993093257503, 675.72484301341774, 675.87177221850823, 676.90479263380394, 678.99330942897234, 679.52734235244532, 679.84271744768557, 681.23023819734647, 684.03628299065895, 684.12756251850112, 684.81628161503579, 686.67682475554761, 686.72219130405517, 687.69968325927618, 689.66940854830125, 690.16722420429494, 693.16830215202458, 693.84041256855278, 694.60898968815638, 694.76848981831984, 695.7614994994816, 696.75822644296375, 697.01023088564943, 698.53629888164187, 698.77094254685903, 700.19069032788525, 701.6600964448578, 704.69893870602164, 704.99276680124092, 706.75619807363398, 707.31457106589426, 707.61259407946318, 707.70180976589313, 708.36857176441583, 708.51881988989055, 708.54602507428274, 709.18742633043905, 710.19526373931728, 710.32978252408498, 714.13834610875938, 714.52977019540742, 715.43828358478697, 717.51705944491619, 718.56076531304507, 720.90213053668981, 722.92603795810874, 723.64646236765623, 724.45924345897799, 725.6104635168507, 730.02532765972819, 730.14406108042999, 730.6780580819584, 732.02538735319388, 734.91797332542751, 739.63460141613723, 739.95491998975524, 740.77498290253379, 741.24796327071795, 742.40546955115099, 745.06583242202782, 745.46349001948181, 745.80378076060242, 748.03307147146984, 748.71184200367293, 749.07804321519768, 749.49479917169879, 749.95824448753945, 751.83774475563382, 754.06475530200112, 754.59170890077917, 755.32402341154261, 755.49145559333897, 757.31579832723276, 757.66415516004986, 758.6740625672611, 759.75607289171046, 762.60996421886341, 762.97572336511962, 763.32630446740177, 765.24986196712587, 765.77041037151537, 769.16906809047987, 769.48188431689425, 769.61882867782663, 771.12874615408748, 771.6690188298179, 772.1303667353834, 774.07715097911114, 774.6880034273604, 775.18406958192713, 775.2473758672852, 775.3706679757222, 775.61238140815033, 775.70826432150443, 776.21931786040909, 776.5991403971957, 776.73973632264551, 779.07588412727648, 780.50597919624056, 780.94688744297787, 781.93032132817223, 782.06362947705009, 782.79902197532135, 783.05409201016698, 783.1539461661738, 783.3744642251097, 783.51579732532741, 784.1294452569839, 785.63061155241257, 787.5822939946014, 787.91942337652461, 790.08022776697737, 791.39831112578122, 791.68874279038107, 793.25732448832434, 793.39017144732861, 794.09384458685099, 795.39201489634536, 797.58811945053401, 799.05575251875337, 799.87653931571253, 800.60056002741726, 801.705830441133, 802.17666981357604, 802.40953056876754, 803.52760992527851, 803.65239887325379, 804.7565732030256, 805.22967143472795, 805.27995186865246, 806.121931058521, 808.38561142250649, 809.14380197065498, 810.42517624039647, 810.88109146785496, 811.16507478288122, 811.66563689515988, 812.63474778666694, 816.3695295157919, 816.93342801062761, 817.27036033118236, 819.08016173623923, 819.28194954558967, 821.30641929244007, 821.44783903911184, 824.0479368014112, 824.32655440014503, 824.52774136930373, 825.29604706906446, 825.42958777985666, 829.29829733881354, 829.57644515856464, 830.93495884611366, 831.44918681880586, 832.43550832706717, 832.73882601793878, 832.9197983198336, 833.78391337539233, 834.80637330434297, 834.88589462142181, 836.90894195520252, 837.11104419642356, 837.17730730174708, 837.43507758291184, 838.30407282521719, 838.86326174577152, 839.65200005957865, 840.61689386714306, 840.82713687530611, 841.93902819306913, 842.83590493161853, 843.2490145617486, 844.26979576569749, 844.68509800229947, 845.15019467456329, 846.65931920622586, 846.74082671680378, 846.78651028640968, 847.44516901036843, 847.67784605011116, 850.10503068723074, 850.53748016245345, 852.71856009552516, 853.1117757152, 853.69124519303671, 853.81971078987692, 856.75940329711477, 856.87394350844068, 857.75727441498077, 857.83215523971569, 860.37908711237799, 860.52237872668024, 868.56223539946166, 868.70330940361907, 869.22685372070725, 869.71490582531396, 870.58750237840866, 874.64007341698516, 874.8815385875489, 875.70115195947221, 876.00364362714072, 876.37563955078804, 876.82276410646568, 878.0040663580088, 881.0372925180161, 881.09640845452384, 881.66823244045895, 882.16613208163176, 883.12972613189913, 883.35743865339725, 884.03500876882583, 884.46625273788902, 885.78279055868825, 886.33732028302734, 889.9253904828372, 891.16383602532972, 893.23678465633031, 893.48478375011302, 893.8309027431676, 895.42636534889175, 895.84506380444884, 897.95746823943477, 900.8700525539665, 901.27497654852016, 902.10166414720368, 902.42058333268847, 904.42703016277414, 904.58547294818095, 907.7825901267347, 909.55314658411226, 909.64247358249747, 910.6576766187859, 911.63207839135509, 912.00038719834174, 913.59425820166121, 913.92754303179959, 914.48730357020418, 914.52275413896177, 915.60137428424832, 915.65418134975062, 917.21358938991511, 917.89898418182327, 918.10262219345805, 918.74761630790817, 918.98575027909646, 920.00087542397512, 920.24859845395486, 920.84953056596794, 922.27158186736585, 924.4482107233506, 924.66955111676032, 925.10980752907767, 925.54337797874439, 925.79629829655107, 927.04146178183919, 930.10024127647227, 931.34150945762281, 932.70283287260531, 932.89628703136759, 934.99610359163353, 935.49576657666171, 938.62398469290804, 939.88902442859808, 942.11583639332889, 942.20789421459676, 943.37949090872587, 944.0077821669729, 945.41356053654124, 945.54523935589748, 946.64096049215414, 947.30055708550128, 947.77860867498794, 948.30636285178343, 948.66334617792461, 949.09066675088081, 951.9099868949063, 952.95251976899044, 953.58591053167208, 953.72870907598099, 954.62898125145136, 955.10387090471863, 955.66821948739789, 955.72610467460049, 956.38850766402732, 956.66247793926323, 957.15738555604582, 960.03961262268058, 961.49530382813566, 961.63818530291837, 962.77334301418682, 962.87205766874206, 965.07520277128401, 966.71285446536399, 968.12723870896764, 968.16493021565088, 969.24254769938705, 969.37356776271452, 970.1040311368489, 970.25237308308817, 971.8579751857867, 972.26099302665352, 973.83607593600573, 973.92694911494289, 975.26686399644552, 975.95651800156691, 976.31858440019471, 977.75639605522133, 979.22785983655388, 979.81285959377453, 981.71163246844833, 983.06606246345621, 983.25513917755006, 983.58335192858578, 983.67308737742701, 985.41091548547593, 985.86773141585047, 985.90410005469619, 986.60802734042989, 986.69525283733799, 987.01234138483164, 987.04890643107888, 987.16626871937706, 987.46427090094767, 988.58591055639022, 989.57393889243463, 989.87568133331501, 990.77805220043763, 991.67183078724861, 992.17188519625824, 992.60372269882293, 993.01221715492352, 994.37114319427485, 994.64999697667167, 994.7462885247586, 995.45208413776834, 997.10464370366003, 998.19286889813054, 999.58175655500111, 999.86893528137909, 1001.2552798275761]),array([51.229745760538371, 55.17739780746718, 55.735237974614293, 58.541779243040935, 60.992771011418846, 61.307856489372668, 61.525729134392186, 62.543981060249024, 62.689957103267929, 63.381855222459826, 63.72022398630471, 64.805074216545421, 66.888624774057931, 67.051730213959871, 69.21498333116574, 69.854277517917552, 70.119297223626916, 70.572950814282194, 70.715316561103279, 71.053442696335622, 73.76378772853424, 74.050628509110624, 74.274359215797602, 74.637593594822206, 74.738388314486912, 75.417851588955116, 75.843328066467492, 77.121553986998407, 78.006543174930712, 78.861248384312162, 79.173884348531814, 80.485288876322258, 80.624221274783295, 81.076033909502542, 81.851202374465032, 84.023534993213644, 84.326058420318375, 84.397085749232474, 84.56876528813153, 87.497842034961792, 87.641855609067349, 87.809052494654082, 88.916119678420287, 90.975049946427887, 91.457157656546585, 93.275497223280738, 93.529179948976918, 95.146340004427387, 96.298457154715976, 96.405096027407211, 97.317083745215484, 98.184293317815971, 99.87669712792588, 107.50209656913644, 107.7413200500027, 109.63583178188706, 109.87734236865545, 110.8377906799688, 111.40309292088456, 112.94416107160657, 115.45464353983063, 117.37584564069583, 118.44954823573867, 119.34905608751535, 120.25669817523726, 120.29357009569974, 121.4291955492581, 122.12062372833229, 124.85888866710751, 125.65181823332446, 128.10321677782832, 128.79135784743417, 131.31402536573808, 132.04111442460015, 133.82687518592974, 133.97841700701341, 134.12553305217142, 136.2352700202743, 136.63173160377065, 137.69299220718364, 139.19404089245367, 139.49405156764541, 140.27713846384776, 141.2937455429076, 142.39694941545031, 142.99735509660479, 143.65750533692548, 143.85443308501078, 147.94886231321229, 148.06338007783651, 148.76912958081155, 148.86588767767157, 148.94906892704128, 151.53598883519084, 151.91746731552828, 153.78566859141193, 156.12292461385957, 157.71767674182252, 158.25753873450861, 158.97624100492331, 160.98047108086686, 161.36986089745764, 162.47861428448971, 163.36783673809035, 163.93662311803959, 165.07735555613615, 165.93705030652373, 166.02331124916549, 166.52461830499948, 166.57073274874264, 167.9450570328606, 168.34859878652884, 169.47449946306958, 169.82215250256331, 170.00160400103908, 173.53236805379089, 173.60483705621348, 174.77678808422934, 175.49411831549128, 178.096956973288, 178.31831320802456, 178.53607027008417, 179.41673888357121, 179.99703403403771, 180.19633774865804, 181.36827157071761, 181.50414763215275, 181.80110861603112, 182.44282030769057, 184.53187057079109, 184.73309683209206, 184.86088972666704, 185.10242133835118, 186.4085855425503, 186.92069578082442, 188.09948930072068, 188.49171285377449, 188.8986197260912, 189.86823221987876, 190.91665306352624, 193.49041419125322, 194.58276741513853, 196.96144311119789, 197.4986634584119, 197.63738747554623, 197.69772813883475, 198.51526163457052, 198.56828562044646, 200.27541178437707, 203.57110135528814, 207.08843429751084, 207.22588193527267, 207.43230538239416, 207.69325537270356, 207.81314499223589, 208.83817593651122, 211.37055969880373, 212.18687841240933, 213.08667424954214, 214.54561466928897, 217.49107728215043, 220.56810237679218, 220.81982460346202, 221.54240250891499, 221.74293438303536, 224.83281951630534, 224.89589264868653, 225.29598630868858, 225.88765148608357, 226.66423654743298, 229.14475429977404, 232.85330701089296, 234.21801816863459, 234.88509765460108, 236.48331427366097, 236.99833566531092, 237.76801981148435, 238.27243135883074, 238.64445744065137, 239.48977589712848, 239.79575941114734, 239.91113936385918, 241.59727867916712, 243.25111534910837, 243.78040415409421, 245.02443612557971, 246.19132176935082, 246.32661209765675, 246.79656951112671, 248.42146717222565, 248.67420979388001, 249.80404780330139, 249.9965286683786, 250.58532289775212, 250.78283039936264, 250.86320187809255, 251.45655066113116, 253.62321530118942, 255.18794786052294, 257.6064582434023, 258.53211083283622, 258.93399988736678, 260.68592912516812, 261.16826196010658, 262.12290982846258, 262.92199814765365, 263.60020321585586, 267.06802828763614, 268.09165845390214, 268.41502864159361, 269.40156161982645, 270.09222704449007, 270.86068086089648, 273.00026983725712, 274.01203156043368, 275.17632720952031, 275.79083003934988, 277.5162839374201, 280.31449328194839, 282.1688980252448, 282.50585191547879, 283.08583041202201, 284.67755459057577, 286.51330149594969, 286.80939574846479, 286.98827513778593, 287.59013080746882, 288.03399938011711, 289.61919422354811, 290.12334854903349, 292.23475031574804, 292.98128865044816, 293.62246529183926, 294.02655051778709, 294.05089352458225, 298.12378860436547, 298.92931176884224, 298.9511728616111, 300.6096439213203, 300.89461189550616, 305.4619884338116, 306.56464185712457, 308.50378372917686, 308.71976133982963, 309.93329043450478, 311.11017899970085, 311.45574678595489, 311.94823348432448, 312.36475723366055, 312.61170282916243, 313.04272468295977, 313.69387777200438, 315.31287921194257, 316.05610335997943, 317.14031560386223, 317.16193571021461, 317.74288262286416, 318.6447448842498, 318.94414595738505, 319.38688947226979, 319.54980425221453, 320.68588147257958, 321.01933558611773, 321.73068923948171, 321.83169821864766, 322.69329499323436, 323.16506274228811, 323.66328813582413, 323.79558605699191, 323.93329838474227, 325.6697602299152, 327.36090897102082, 329.96599629595994, 331.16485059032357, 331.20464659682659, 331.64474078470585, 333.28740256419513, 335.00378760546147, 335.12662719108801, 335.43514257442979, 336.30013338298539, 337.41134594701543, 337.76732078101332, 341.25875442802675, 346.84367211524324, 347.43976575524533, 347.98995354596343, 348.52392037468502, 350.34987958259251, 350.48032742848653, 350.88022014080804, 353.76535778250332, 353.95745724981521, 354.25663006181543, 355.65964745701007, 357.88404519933221, 358.68935710995476, 358.75738512768532, 358.94088576250908, 361.81455248772238, 362.60462487607151, 363.53673362605167, 365.02220405884555, 366.05151991706322, 368.45558812182497, 368.82696276697408, 370.15620711929887, 371.22039292154381, 372.40183699699861, 372.59889693475742, 372.79235407500778, 373.28884106970378, 376.46303042147434, 376.86528555497142, 377.88359276049118, 377.98634143109564, 378.21673789316662, 379.06111244685582, 379.10054634446857, 379.78891550306156, 380.02882415178044, 380.42888237943311, 383.12079401158485, 384.3036537020655, 384.51795598588222, 387.69294481632653, 388.2594411149322, 388.47414320839471, 388.95515602883665, 393.40384405027231, 393.48661146228864, 393.90206072937866, 394.87171536354998, 397.63023108560969, 398.4731461623411, 398.90709954255766, 399.73584918318051, 399.98126284661436, 400.58715122108617, 401.70395444488241, 402.18599256859255, 406.21883378962235, 407.46591844793909, 407.57683908287464, 409.3574272828788, 409.49166889159005, 410.61213637100462, 411.18104682732053, 411.80003662114819, 412.14552150839347, 412.70057335823753, 413.39015590882383, 413.48071258995731, 414.24558563571821, 415.90227347323759, 417.03630253582907, 418.37036592846408, 419.35745150790177, 420.2428273533568, 422.93506567942575, 423.30062914403965, 425.44250954582446, 425.87076492152693, 427.52493629284004, 427.73032845631963, 428.18868029073656, 429.40041748549629, 429.99433243090624, 430.0145365084353, 430.31607411456037, 431.42746051997818, 433.18858714130204, 433.44505831917712, 433.60380112714398, 435.97357345841726, 436.26471779671408, 438.07064838875112, 438.14074807836244, 438.27801448264916, 439.28327729146906, 440.84273413616825, 441.75919369418057, 442.83113993012347, 443.2123608749373, 443.49620346165835, 444.35353261388292, 444.4778027521092, 444.74942286617863, 445.67144189791048, 447.0933848874148, 447.67781902580475, 450.31387850492945, 451.4540965878918, 452.7097083261184, 455.29908659908034, 455.80366610346869, 456.97673592781706, 458.40004149428717, 459.20240292380282, 459.53498814885808, 460.80008712781131, 461.44288094540508, 461.46558039751358, 461.91479931639668, 461.93588895621559, 462.6843618829817, 464.25137555954916, 465.08255711291406, 466.45207199183767, 466.49708858661654, 467.0300097852583, 467.62152299400179, 468.74940100629294, 470.16876960730951, 471.36836375637705, 471.84179094111488, 472.94708067741351, 473.06785119800946, 473.27613034104968, 473.49066446251493, 474.24921275023593, 474.29070668557273, 474.84943258366826, 475.08882952160872, 475.69720298676401, 476.33358483180871, 476.6071746606986, 478.65010083883959, 478.89645915225839, 479.78999810185547, 480.86532387998187, 482.8552072563391, 483.26869434421428, 483.98222837171778, 484.03553655107106, 484.0896773263317, 484.56577950012036, 487.44233676512169, 491.2345034398457, 492.08737103952222, 492.4601308118236, 492.58090403951081, 495.32566787585375, 496.26299228834273, 496.41442065239221, 498.35445647934046, 499.10876470345079, 500.69937143558656, 501.41030037776943, 503.3016194779247, 503.81452195432075, 505.11434190421039, 505.18016097035365, 505.48541137320603, 505.56690620242193, 506.43686800700522, 508.30706230088521, 509.57203978900191, 509.69967099133015, 511.72538159114282, 512.04031146823274, 513.1534036776286, 514.40911931236428, 515.96712275111474, 517.87483333479668, 519.77573060703378, 520.00565201524057, 520.3440994581581, 522.04026310536506, 524.06466360116917, 524.44976569866924, 527.44567681179967, 530.21862057191288, 531.73085201328229, 532.04024504218194, 532.63547389152734, 533.9347557684506, 534.01486588394368, 535.73181984432267, 535.8915032207326, 537.04441441030497, 537.22581619827054, 537.53032012473579, 538.61107379145426, 539.31425914571116, 539.34527550523183, 539.59994147020916, 540.18725931822269, 540.75543669107287, 541.84809629495874, 546.83009963630695, 547.29619951640041, 547.59792583304852, 547.83943053668554, 549.0951235696923, 549.12419227910163, 549.49317754300034, 550.25811186851729, 551.42422604579838, 552.17805328503516, 552.33624692881324, 552.4563330948173, 554.40746234751259, 555.94944288218551, 556.07216991289749, 556.16432063101661, 556.29398275195501, 557.03498407949462, 557.44736726669294, 557.71517757225786, 560.04182639011856, 560.14362494250622, 560.68296692364936, 561.20459970050024, 562.75166355366378, 563.48103404885978, 563.60068027347438, 566.68503753895675, 566.77122013407291, 568.14658143315978, 568.31176199058143, 568.49753802597388, 569.37567853461371, 570.01804588732307, 570.55855590037595, 574.52729492671517, 577.86774648034043, 578.36327723918612, 578.41431873719091, 580.80825480774138, 582.51460171343842, 582.7398189134077, 583.04250972014086, 583.67771521612872, 585.14847795434127, 585.81037894655424, 586.01179448162463, 587.95592785844826, 588.05535849725959, 589.11149867182826, 589.39616122787061, 589.55302872189782, 591.60031311466093, 593.88622358775297, 594.83991979108202, 594.86215964715018, 594.90471523632471, 596.10315387943672, 596.35460588113119, 598.83796837466423, 600.49808227398648, 600.58738228485561, 602.41417211514022, 603.51103306867924, 604.76622126343887, 607.1086686345152, 608.8078930638012, 609.72540060740346, 609.9129184217951, 610.87383018831133, 612.43036375720135, 612.75851436586947, 613.71415921952701, 614.43995800799235, 614.52698269274492, 615.78937682866979, 615.83229656494996, 616.11234826123462, 616.44782499708231, 617.38837579057588, 618.89927829067358, 619.5610670315051, 619.60936746664561, 620.56603623483068, 620.62940978191784, 621.34897492770801, 621.49975122044566, 621.86283446148536, 622.98706451223984, 623.2905948468084, 623.66782567341954, 625.03325428783114, 625.59773716696668, 626.32984513767667, 626.88992596599689, 628.22178175474937, 628.92668605956374, 629.18787967839273, 629.38927675864534, 630.98012567539433, 631.11880187985105, 631.69834990564902, 633.81827415101452, 634.09193180755256, 635.05046876298059, 635.25431561223877, 636.67205934780566, 637.00564117455258, 637.22931572163839, 638.41984564250504, 638.73962083144261, 639.16143741128155, 639.54037433061592, 642.45702861165103, 642.7160420609049, 644.58973971957562, 645.2829504054564, 646.9614816720964, 649.48421719456917, 650.10322908703904, 652.43241093148379, 653.91527695732987, 655.05355983295749, 655.17957838371581, 656.12322831017298, 656.52933750759507, 657.30657602583096, 657.48735933188425, 659.06726077724852, 659.35909553816339, 660.52199197401262, 661.11636463813147, 661.64830095427646, 662.00852297309189, 662.26776477521355, 663.48580147795474, 665.01617680030938, 665.5586391211375, 666.19456464731866, 666.30530027930729, 666.38201977337826, 666.53928120254886, 666.7277174978899, 667.7590695358108, 667.90102375464642, 668.40286048395853, 668.52375197607523, 668.99010608586877, 669.64950848936917, 670.86936333592973, 672.28183566716712, 672.88033090437159, 673.08100314038177, 673.61136269784151, 674.32434289246669, 674.51716863354159, 676.03504891301384, 677.89576049753418, 678.35813246951045, 678.60774636764904, 681.0920119845598, 681.25426220241525, 681.72906489885077, 682.22398403043371, 683.27811720151976, 685.13523220169066, 689.14861081186086, 693.19948029060151, 694.87571576341224, 694.9157160542037, 695.13363485298419, 695.83300999750543, 696.12224307079248, 696.27349356805985, 698.76917156923514, 699.40066035458062, 700.68323207467256, 701.00118910560548, 704.05055733701874, 704.96879115471495, 705.50365362712625, 706.50392366466315, 707.39210505599783, 707.48484040347671, 708.2748684524754, 708.46220492778696, 710.43452840003977, 710.83256374418886, 711.88810463707046, 714.80942478248596, 714.87221812766245, 715.85205088743385, 717.07116140631854, 717.85978892098922, 718.09973003188759, 719.57726068015768, 723.1201973455444, 724.34784189070854, 724.47751003742098, 724.77536625828134, 724.91231852786927, 725.749874832724, 728.41848073258757, 729.10785728101041, 735.1374372768222, 737.35956642831661, 741.10322708129127, 741.31925373687568, 742.73447837921981, 743.70779064009707, 743.78784374710642, 744.99400671341664, 745.08403130323495, 745.28185423890216, 746.09152243171036, 746.44279777608722, 747.09437951060329, 748.93020146676815, 748.99572224206099, 749.89766589649651, 750.22153149233009, 751.62219508343594, 751.72608554298142, 752.20057226796928, 753.07580255583412, 753.86490033362145, 754.38925426155174, 754.61736511881111, 755.25047592844373, 755.64333127620409, 755.81184826391188, 756.88850595150006, 759.55638487760427, 762.04350136349865, 763.27743475813759, 765.62781730233246, 766.68512285984139, 767.88247504939773, 768.23347799204555, 768.69892602868401, 769.41239471158451, 769.57391370235757, 769.63627276038039, 770.97587700543465, 772.29497122964972, 773.64608277174909, 774.40318576767368, 775.00155730144184, 775.65118140835887, 776.0774074814201, 777.25927907601192, 777.78093252774397, 778.7540706164591, 779.00850545552532, 780.52367477602979, 781.37253678208992, 781.93088193598692, 783.50850423250256, 784.09905472654657, 784.4252102918033, 785.15160887633101, 785.95923459018763, 786.00332906732604, 786.03082926169259, 786.11482889452213, 788.94919660557252, 790.17755705599438, 791.30765843005133, 791.48443422467119, 791.99474495734432, 792.57147098623159, 793.66953047149718, 794.89708402859708, 794.93690523253315, 796.17087002761582, 797.57532821860912, 797.61569443166843, 798.4035469259544, 799.7012523283712, 800.70189486711047, 800.79961756328976, 802.50516149188957, 803.24494354544879, 803.7926419151064, 804.85720805581445, 805.44954181744936, 806.74566830523827, 807.13789142583551, 807.20468696997716, 808.15262536058674, 809.10937236532016, 810.94237523959498, 811.28260151434426, 814.58096337357438, 815.46639828672483, 816.18638091886157, 816.65934311916897, 817.52004580386836, 818.45566474855184, 819.38608514494069, 819.61397973846965, 820.82309832586873, 821.95000827100205, 822.19942276416077, 824.68555107601026, 824.82874727289288, 826.04167801766528, 826.9943913518174, 827.06240605930168, 831.03768618130277, 831.20016700828137, 831.43562256714677, 833.79638849765388, 834.33827545567271, 835.6200371486907, 836.1292425060891, 838.30133412471935, 838.7717533395205, 839.918514052413, 840.35553653058275, 840.645628134562, 840.67172406709767, 841.77674646389085, 842.26190024679431, 842.57722753859139, 843.41076057934447, 844.38914820258663, 844.65307715292738, 845.71607435385192, 847.36763785745063, 847.70844382967005, 848.124891729561, 849.70519954554356, 849.77157895031894, 850.12110509968636, 853.01633148750091, 853.46642921258854, 856.13664684394632, 856.25688395832731, 856.56435543948089, 857.23308965384911, 857.40523390580813, 858.11129123399996, 858.47790962992633, 858.87542752947707, 860.91015857490163, 862.20052616305577, 864.46274823667852, 865.1218268776571, 866.21085535334453, 870.19824496361161, 870.51916657327854, 870.56194024696038, 870.77702994881497, 870.92027235128023, 871.61773037350781, 871.76026558566207, 872.36176458825457, 872.68465408157613, 873.0204090203149, 873.22643538188504, 874.0494805174668, 874.71330249746029, 876.98858319963267, 877.10469672384102, 877.29219819807042, 880.16718216896277, 882.52722897337912, 883.66144058562759, 884.30272231073127, 884.56836875546924, 884.99080104751329, 885.35474439285326, 885.55169266001883, 885.75563460674334, 886.4915869875432, 888.65555550818294, 890.07661568435753, 890.21299974722297, 890.30291915475414, 891.04275290843566, 891.39923570884025, 892.18481398109896, 892.78454949837896, 893.40211676697845, 895.07986872395156, 896.66032459903988, 897.21872046068506, 898.98787541745946, 899.52655838075441, 901.04277645610478, 901.35622466856103, 902.97704843647398, 903.04965580504017, 903.98057006640431, 904.07936302778955, 904.26251262101698, 906.05199131519828, 907.8382601376228, 909.57695184956958, 909.86034366475997, 909.92856066913237, 910.06093196794598, 910.80118840352361, 912.22158020222696, 912.55736926510656, 913.78010836521412, 914.08311902900596, 917.32909173145674, 918.05016819467892, 918.367930797702, 920.52061154574471, 921.59037006173071, 923.58796771726145, 923.87113176393063, 925.47284452412759, 927.17170401545309, 928.24953068610841, 929.14469124200866, 929.63348417264842, 929.8147123250958, 930.18131021209217, 931.61256702045887, 934.16836409164705, 935.35142315271503, 936.66390608386871, 937.4255243476822, 937.72931309361161, 938.39015977971792, 938.55433470027629, 940.87597055045399, 942.78738955260121, 944.32191418684624, 945.37086474682553, 946.01379181498351, 947.11768248096439, 947.93833121911496, 950.60154508946766, 951.08017849023975, 951.47735724330403, 952.04195491726978, 953.58463338032266, 953.81190862769108, 953.94632906080199, 957.59468820972495, 960.53832638278584, 961.28747451703816, 963.17668879797839, 963.80989314373187, 963.85588153932031, 964.77953855994087, 965.4995825959362, 966.45422165722516, 967.91545242324378, 974.83210267620768, 976.38997064264913, 976.50503238647389, 977.57386206271917, 978.14401355033601, 978.67836817244665, 979.14849510075123, 980.15799083163347, 980.47826933299837, 981.09876790270698, 981.93708993477753, 982.18446041348068, 984.47519421837751, 984.57070951367041, 985.91431083470604, 986.53311866256195, 986.75255954956435, 989.18195396260751, 993.12736580137653, 994.80632324325643, 995.1256638641371, 995.57313926105678, 997.49267002612055, 997.92581068968582, 999.35206385216679, 1000.8076299407945]),array([86.681513556020008, 87.596391846226325, 88.560598558534878, 89.570070194886483, 92.358295226913739, 92.515283571202133, 92.59815947532384, 92.763032347102538, 92.888633914373145, 93.080835316719231, 94.69421792632167, 96.420522445786389, 96.625711981225209, 96.69362351048936, 96.800621799190367, 97.124252298472072, 100.16138268315086, 100.63451721736104, 100.77222044718778, 101.57455260638967, 102.17379232812571, 102.22311611365815, 104.50799492359094, 105.75941507915958, 106.43907791770816, 107.12420704231198, 107.54344904613841, 109.14396934924076, 109.7898230199843, 110.73726084869925, 110.81183936334538, 110.95507196147985, 111.1900499521945, 112.82297335586102, 115.22388631083294, 115.75776532714889, 117.21048014994177, 120.7453353635093, 120.80999385971278, 121.16000935158635, 121.60275964334217, 122.29408675506487, 122.32302711842313, 123.69996780146747, 124.39546899682811, 125.10181213439985, 127.75456274852044, 127.81587693258665, 128.47415910150065, 128.86989799811084, 129.89169889091485, 130.08577030468985, 130.51392718714973, 132.13601690194284, 132.88566624900065, 133.22658584491452, 134.02938295004793, 134.34896964551609, 135.42126891675699, 135.44377502171739, 137.19127358834388, 137.87566778334062, 139.09338237456794, 139.94641194998346, 140.98766830011041, 141.41773318419357, 141.43961458915234, 142.57350630040426, 144.04729178417708, 144.11415625676139, 144.80427515242579, 146.09758655749499, 147.38175974590183, 148.34215757039217, 148.39365243765081, 148.96740172037244, 149.26601569221307, 149.46171883616128, 149.60734088657426, 153.93702087363539, 157.10898023833047, 157.27829163834159, 158.22085204245056, 158.43351591553568, 158.68271502824715, 158.80605605495509, 158.93430032277377, 159.820666619539, 160.15215438134533, 161.23987392792242, 161.83086920630888, 162.23965445320954, 164.37022836516815, 166.80455279771405, 168.17252116218472, 168.33750695996025, 169.01113129804997, 169.3976880975552, 169.52616025874801, 169.98037254968156, 170.28427763632033, 171.07550673943723, 172.46139755760458, 172.97162145920433, 173.4794810575427, 173.63370995262542, 173.76795843323518, 174.16853198273284, 175.59089364556706, 177.7096622027147, 178.16796976590896, 178.67623698762748, 178.78306242316557, 178.8854411511372, 179.09975074108564, 180.94737400349342, 181.4547249949477, 181.57641805583916, 182.6395278812015, 182.81686974419961, 184.23921356732632, 185.17048791839312, 185.71400691600306, 186.78848816099313, 188.17322925875709, 188.34515964537013, 188.89636277025565, 191.00159435535977, 191.18908464128526, 191.32196210924977, 196.36556024963457, 197.47898244959813, 198.36898840139804, 199.47584504720746, 203.27499419237199, 205.41415222384853, 206.18049149459853, 206.43166416928995, 208.75323974384952, 208.92975674431344, 209.00760254417659, 209.39327309023213, 209.63275046240085, 209.97098333268892, 210.94228527158776, 212.27337799373061, 212.63367169613204, 213.37670892909819, 213.73022900043401, 214.430310712753, 215.72503710364762, 218.34528206654841, 220.27861619163778, 221.1435091011848, 221.92792221370971, 223.73548583026206, 225.57257093583507, 227.52108192345599, 227.71243263571719, 228.12384655205568, 231.17583108328142, 233.87069640680821, 233.99698576376073, 234.49460941611963, 235.33566673690336, 235.67388025782282, 238.43249117828302, 238.4856655247743, 238.72779278548094, 238.81049283548131, 238.9353409159487, 239.03959331029984, 239.2889445236535, 239.76220904468823, 240.42229462493634, 240.73946179929791, 241.13272543351761, 242.22533562392559, 245.25462993739299, 245.91042292376395, 246.21157527002714, 246.41522977403778, 247.02997819883356, 248.30506921540172, 250.740651346584, 253.15370252764447, 254.4159491942186, 254.85011919273393, 255.34149830851453, 258.21170313999886, 258.80731563976946, 259.57941081344927, 260.09752690058968, 260.92917394528916, 261.14587902849365, 264.18192445895409, 264.90745285133971, 264.93838431401144, 265.00347063425721, 265.44060699970197, 266.12284250803418, 266.8542489535406, 267.13786582115512, 267.342738077246, 268.08327240758916, 269.71902305896521, 269.9225800810022, 270.4500752974206, 271.0141452652785, 271.28202963639399, 272.10299215730902, 272.45615854561726, 274.33430032050023, 274.48087982876746, 275.75144369011042, 276.40256098143271, 278.41952497876889, 278.54136868890782, 278.57360008561193, 279.87778303745563, 280.80629356433138, 281.79018063837879, 282.69466177400909, 283.27345225121331, 284.83995498899554, 285.78244417258247, 286.93461406793023, 287.47364455447371, 288.08113667792179, 290.48605268437672, 292.61548944088969, 293.54899403778018, 294.69903540364379, 295.87031923492736, 296.37659941689844, 297.46106711144085, 298.73555723479785, 299.34307887209076, 302.33056071373977, 302.36955417811924, 303.02843534111253, 304.06741607545109, 305.80347812276409, 306.07368238704282, 307.04097997070022, 307.08307345230594, 310.43958490569383, 312.16268504437738, 312.52371227478818, 313.82089594271804, 314.86537402281692, 318.96803702162083, 319.07999616538575, 320.11260753222973, 320.18212256636139, 320.33670703736016, 323.73905832174847, 325.59633828817562, 325.93149700548628, 326.40187709730054, 326.73293545009818, 326.96480608710726, 327.48364260946022, 328.11360288042181, 328.83689456647801, 330.26754649098547, 331.59398570574461, 331.93478640637358, 334.41695502894788, 334.73307511472461, 334.88912848222941, 335.67851468221568, 336.04868814175779, 337.15907770451724, 337.48925951299623, 339.14056338742239, 339.74027687624385, 341.0440043106081, 341.14148979495599, 341.908443805697, 342.29053686276512, 342.31624068751211, 343.5944232653556, 344.00722088970849, 344.16809449438108, 344.94264448177341, 348.80029927286006, 348.95942550535335, 350.20865330288439, 351.76520701987261, 351.90867549418533, 352.33993637469968, 354.16858461519752, 354.27798118868412, 354.89987138577885, 355.98772612901433, 356.50666802698885, 356.85174063887104, 357.25562987289277, 358.09455180106642, 358.28414899052814, 358.66485364958805, 359.29706724118671, 362.54544361714397, 365.38152614510193, 365.63419310607236, 365.91665531378874, 366.38549012955264, 366.98842116114344, 367.25101932144406, 368.60364676226857, 370.20915478686732, 372.88796848884772, 374.84445367405641, 375.01991149346912, 375.19641633732181, 376.56332964106673, 377.93264987258402, 378.44631561356022, 380.4628223207834, 380.66027845137808, 381.09754692137312, 381.2746349816602, 381.80109214619728, 381.8638523944976, 384.05400146761713, 385.50789272093579, 386.45832836784797, 386.63965677535475, 387.64481198420737, 387.9080122630748, 388.58074054124563, 388.92565855934242, 391.71004425088091, 393.55767322688354, 393.78350787824587, 393.99395617301525, 395.35866609945185, 395.44197798526557, 395.53786151817201, 395.66279910118874, 396.03758169198306, 396.96282131834852, 398.15473576053279, 398.3887965004327, 400.05050020327872, 402.87618642573796, 403.46827555508992, 403.93719595785228, 405.46613062722349, 405.67592340420219, 406.59827112209484, 407.91913050673747, 409.82411734776554, 410.38516437338478, 410.42060256156145, 410.95506423916282, 411.13069965777441, 411.17893985781188, 413.69794730240392, 414.02661820277365, 414.92666873594607, 415.16267148857207, 415.64576155365449, 415.84227676968658, 415.92443594777347, 416.87002673828079, 416.97913090190519, 417.26827250143782, 417.83851859399601, 418.40889662503173, 418.79811528088283, 419.00064374424653, 419.68510967686177, 420.03280551542014, 420.89667803735966, 421.69792262315843, 422.7539550623361, 423.11637691158683, 424.97570606306715, 425.13882452610125, 425.9421724762127, 426.09831690214548, 427.02446414025644, 427.43472478394261, 428.91216688442086, 431.89831341735891, 433.61773536983418, 433.88651595097264, 434.66841898757576, 435.53480818289512, 438.19916160647517, 438.3274307309004, 438.91940766313803, 439.41820836071344, 440.30057122069036, 441.919389433547, 443.18197023850763, 444.87635431730428, 445.01894833366896, 445.11215353060743, 446.13729230787794, 446.17664548154295, 447.58359579117615, 450.07498958316205, 451.86980580902537, 452.44881316872039, 453.85261748444742, 455.14955290961097, 455.79666910898698, 456.83374204188851, 457.01849437522918, 457.05674455143219, 458.6943668571443, 458.81651453245394, 459.96912320114302, 461.77585796787588, 462.11496037863589, 462.88302720765751, 464.97777587010154, 466.05420826500051, 466.79780689461489, 466.8760054175969, 469.28388084138203, 469.36957446648876, 470.03504205188642, 470.34071580493719, 471.222424790704, 472.41448785803038, 472.71124368986466, 474.87179819480787, 475.57005332595213, 476.14071438974702, 478.64648228949733, 480.78516471497562, 480.95199330693634, 482.31141795681759, 482.50501871179222, 483.48625361111698, 484.62978212706844, 485.38429762136673, 486.54564405341659, 488.30265985284626, 488.72065956048539, 488.8701942219177, 489.94049073462708, 491.22990658432462, 492.14075563628916, 496.17895524272348, 496.79315364507562, 497.1134355237902, 499.8859852264431, 500.23294512548085, 503.55729770000067, 504.53105933306477, 504.82792603892824, 504.99815953575609, 506.68422178819361, 507.16723623425054, 507.43168330715457, 507.50034884410974, 508.12447905579904, 509.06494229531069, 509.33000032640621, 509.77081683559322, 510.82784563040462, 511.12389012311672, 511.651092442265, 512.08889387042154, 513.67157612657013, 515.86211622121584, 516.44061179458186, 516.877346762917, 517.39437560002682, 519.36641049245372, 519.86052010107142, 520.13309685034449, 520.24257358156513, 521.68605488540493, 522.31806611405136, 523.31900927585446, 526.37666519507172, 527.03075098201987, 529.99498717313782, 531.56583537845131, 531.66991996379943, 533.05917158307068, 533.96542377204321, 534.01047423101693, 534.56108713103799, 534.8354606031379, 537.74229718371862, 538.18338279046156, 538.6936033446882, 538.86512057761411, 539.31673497893166, 539.41440475588695, 539.44023932035907, 540.3772811270893, 543.2690180885744, 544.0279957992426, 544.08157846135725, 544.72022566106307, 545.92280743368735, 546.05196890546699, 546.65164239782803, 546.89879503077179, 548.02120208011627, 549.90282400360456, 549.97940523180694, 550.72816695310871, 550.9389078682342, 551.05208236577903, 552.26886115472007, 554.30234253029698, 554.37892786726559, 556.62572468325072, 557.15389694216731, 557.41590111971061, 558.07809830406597, 560.81461678671235, 561.08660724082142, 561.14652563754782, 561.67394686884268, 562.07679046122712, 565.70648904745372, 566.02775057159067, 566.10517778867563, 566.21244269187457, 566.3842389246729, 567.87721389127694, 570.03523266841944, 570.30842828481411, 570.67091201187543, 571.36885674621328, 574.84800635307488, 575.69849838171717, 575.74687834122744, 576.74863652605075, 577.96805144624489, 580.61259149027762, 581.49575914964066, 581.56077187929111, 582.96968974404513, 587.33299252092547, 588.22285881643631, 588.49131528071621, 589.20190578244626, 590.37097769451532, 591.01224433261484, 591.21006928886811, 591.85087871770725, 593.00568156998565, 593.29760980938852, 593.82977600525089, 594.10763283273172, 595.37373153218743, 597.36217002753722, 597.52392126685811, 597.74391268595002, 598.42196585496026, 600.95442815727313, 601.72632599557494, 602.00448866100203, 602.7380592739778, 603.59998888779592, 603.71690869640622, 604.95938907509628, 605.17851304224882, 605.51833344178181, 606.1507436801221, 606.27517001746071, 606.5331513871987, 606.66603757101279, 607.76578934342092, 608.80177006601298, 609.94702965792362, 610.02712409432456, 610.65176360581802, 611.0590562393154, 611.32005092927147, 611.72269428340257, 612.76737832803019, 613.84378589668324, 615.33044108947502, 617.41219750401467, 618.63002114393908, 618.91468780332809, 619.12259835002021, 619.52374611709899, 620.74943536198805, 620.78034149885548, 623.42186176216057, 623.70127319628739, 625.40585972760027, 625.44098192571983, 627.38857417060194, 627.89010351761578, 628.89290676684084, 631.08472467450144, 631.19569506143421, 632.47123341738973, 633.61492099455461, 635.60782300692267, 636.29194981342823, 637.87317651977548, 640.0026544133251, 643.54042524768761, 643.56592039191082, 645.89292866801168, 647.31991768580065, 649.90595862207329, 650.90482411205835, 652.43986045814245, 652.52321699338779, 653.28714381397344, 653.93442032974747, 654.57984530884187, 655.53547797218664, 657.05743292059253, 661.02612256741213, 665.0942656430974, 665.96491504293192, 667.82650481218718, 667.85255840289096, 667.97937142978208, 668.49015172993018, 671.33097030966962, 672.37056264155797, 672.71307071492163, 673.05944874592319, 674.7235522811801, 674.79239031442023, 675.34158833965182, 675.83039459374186, 676.22343082368968, 676.55334024350725, 677.76615116584355, 678.17434142543766, 679.06614365864232, 680.27465902936251, 681.78390156509204, 682.66488837629004, 683.34272238902236, 683.56107021039236, 683.94036409029832, 684.12091178168328, 684.68621060878354, 686.96764405845931, 688.14564001724921, 688.52472355145278, 690.67025882361793, 690.97571040656976, 691.15160498260832, 691.77051194923979, 695.53203093775483, 695.79445340783946, 696.63283828095155, 697.38906279423838, 699.8414548838665, 701.35479254864777, 702.51738645420346, 702.69659016736489, 702.72846653394208, 703.20481232772454, 704.1157318226949, 704.16534848101412, 704.2955414603399, 705.12251176293728, 706.63348713393191, 707.00590348472667, 708.46056461020214, 709.99487336320567, 711.40571599308623, 713.01456008322214, 713.25822664765201, 714.96970638591006, 715.21941861300627, 717.06633324469624, 719.47135424896203, 721.24991839049392, 721.80984807003222, 722.45911775313448, 724.02471812707654, 724.52516143174228, 724.80045500282665, 726.05721893503517, 726.36257818894444, 729.92395776213368, 730.4297878436073, 732.34944902874304, 733.30350223450773, 734.02557672157184, 734.18187327896646, 735.22510753952633, 735.80976352577568, 736.44921676375372, 737.04304296415785, 737.15869011025598, 738.89981176819799, 739.73303315620467, 741.25018585119142, 741.45220724403964, 741.79857588441791, 743.36083220816602, 743.52666331272962, 743.61707920418428, 747.26249149248235, 750.43091500934145, 751.16319524886455, 751.86803034145146, 753.23385873666518, 754.53825980788986, 754.58125460916767, 754.61644007059942, 757.8169092066953, 758.42456395628994, 758.73358643835309, 759.37838305004584, 759.78147420886114, 759.99633219164116, 761.9470959043017, 762.05786422389531, 763.28768921092205, 763.87616707053007, 764.2755178203164, 764.77461894755891, 768.40120066495251, 768.91404609794347, 769.73940421918462, 770.6421374608401, 771.03590407332638, 771.50319157687034, 771.53235130896542, 771.60109303500565, 772.76518280370385, 774.7852802990833, 774.90272788011646, 775.45774458698145, 777.28418466850087, 778.39570834181575, 779.13150285379447, 779.48158367220935, 780.68623750668633, 780.92264769448843, 781.00142619921326, 781.23510905526985, 782.73787067395369, 783.29306781731577, 783.68088369282646, 784.73104932585431, 786.78775409473701, 787.75707642142856, 788.39939145290407, 788.5619323311555, 790.85886598903414, 790.88051896041327, 791.25854992472568, 791.30023628994434, 793.03410365154195, 794.85965989542979, 795.246849178042, 795.4377283622357, 796.14600950941565, 796.22213874981583, 796.30949246737589, 798.31455981665795, 798.44807883080648, 801.57623543675152, 803.07541842266505, 804.25796425493763, 804.95673871503652, 806.00804399602578, 807.89129966381392, 807.97851492617747, 808.77160297465502, 809.86078038560288, 810.98285472205396, 811.2774778982099, 811.92495206149749, 813.18959849651083, 813.54114062027679, 813.78193713562121, 814.37888555352185, 820.56818198298515, 821.35263445733665, 821.42877842287226, 822.95537213351781, 823.91497027021535, 824.03102429054195, 824.20411319600657, 824.27681796612376, 831.91154399479217, 834.15780190816645, 834.87030743383582, 835.5114827511851, 837.09202143102323, 840.70275156521802, 840.87905189910907, 841.60348751933213, 842.44949695095715, 843.20357452959286, 845.95457467309893, 847.70153237835439, 847.79951952427632, 848.07953106803109, 848.63216439491134, 852.32040419523207, 853.47169456863992, 854.40359589695527, 857.91216638003459, 861.23227272831241, 861.41678137620579, 863.38921140533364, 864.5929914400017, 865.90637255718354, 866.55031488378745, 868.13070487801792, 868.44019982518807, 869.78510450955321, 870.51691494176202, 871.31889509297446, 872.01867167683736, 873.84238561712903, 874.51918821668039, 875.72252989924016, 875.74533207501088, 880.43499283191966, 880.89922581264182, 881.14244632106227, 881.25498208005422, 881.86942437375001, 882.02015111221772, 884.83956505555534, 885.10516723277681, 886.97435315076382, 887.83269871019456, 890.74062973420303, 892.04732444482261, 892.28299219909877, 892.73628526815139, 899.30836277788887, 901.11630520537562, 901.20669859659972, 901.53163470190896, 902.32028232126618, 902.50399920146162, 903.51336082235468, 903.53382117931938, 903.84515340502548, 904.91359918986632, 905.1984596782961, 905.39274336765743, 906.09698978659412, 908.62056906658768, 908.97354829042899, 909.00639149105518, 910.7888025447678, 911.90747237392361, 911.96527710002351, 913.58119993396156, 913.63269699458215, 914.43119405798757, 917.29234330729628, 917.46897846725415, 918.65858807796633, 919.12359136002931, 919.66518580104025, 919.94957598646079, 920.00549161360595, 920.26854515488026, 921.42089131348894, 921.88135857787643, 923.64433179968478, 925.31628817105616, 926.17107549189529, 926.36619955730248, 928.24319820986227, 928.63931825348016, 929.4011679171673, 929.56360947071573, 930.39865488529631, 933.58942346079118, 934.31302229669188, 934.95488291933691, 935.1043838361453, 935.76083383727473, 935.9111199214891, 936.52119527354967, 937.65184843909663, 937.95950260032839, 938.02710386937895, 941.1985754648814, 942.72186335804781, 944.74363010210379, 944.98565593845819, 945.59528413148496, 946.40931496453834, 955.40751435028608, 955.49581330728461, 958.24137977900023, 958.39466534354926, 959.67148258974726, 961.50190185325368, 962.08281839462381, 964.26857153529022, 967.08162003672442, 967.74860095074314, 967.77369529742998, 969.05720847590385, 969.15051867602301, 971.86310410740987, 973.00798578806007, 979.40069932997631, 980.15100345944541, 980.50234736199411, 980.54588871845999, 981.90755815559271, 982.23260102516645, 982.9789146691038, 987.95064740887199, 988.80872902785802, 989.90563349511012, 990.1561732621193, 990.41565227445869, 990.5953018287164, 992.80436871436973, 994.2077304792856, 995.05654911455758, 995.09368101058044, 995.87070970490163, 996.81122011876619, 997.90808444744619, 999.76076809164385, 1000.329832145599]),array([83.059806544478491, 84.667399717081409, 86.097160693076319, 86.199002404240957, 87.203441501572613, 87.282575063939674, 88.273277716999573, 88.671269830767486, 89.950631512377129, 90.420359707834592, 91.561337989487157, 92.79692484431763, 93.776333745966554, 93.848114368407451, 94.681141949186014, 94.750013080566191, 95.236882250049277, 95.349444811242762, 96.086871771201857, 98.522974855271087, 99.227728028755806, 99.710723366343728, 100.06488631224229, 104.2439990971727, 105.51385871914098, 106.94713637467108, 107.54544195745221, 109.46378146532774, 110.66650083931987, 113.05088175124243, 113.57150423419685, 113.813598208963, 114.37124768414353, 116.75327513065612, 117.29882965428962, 117.72959469353768, 117.99634230816989, 118.04964399527978, 120.28607420369869, 120.98838252734252, 123.03584732303179, 124.78320441978762, 125.81331162002938, 127.12035700197485, 127.17964187096798, 128.09987953025464, 130.1650823233183, 131.39736930411874, 132.23383354353189, 132.32858532521269, 133.6186454584346, 135.04009555155162, 137.46572560496162, 138.61274748563616, 140.40367794558702, 141.71052212921509, 143.67909509537435, 144.9394161198648, 145.50403463011617, 145.82566365401436, 146.85197504415504, 147.361067553872, 147.41871568194003, 147.91810237418662, 148.7452148062743, 149.2534805888499, 153.22061236457142, 153.52460978811405, 154.69431960252322, 155.00161064307713, 156.28217582926382, 157.81333123437051, 158.63033342509354, 160.59520128485656, 160.71582273742635, 160.96560168968506, 161.29522960092999, 161.96105641586647, 163.31390944238814, 163.85802303220373, 164.94158633544373, 165.39894343046032, 166.13434327373068, 166.64717976378964, 166.90696283269037, 167.67757968215196, 168.38474575838265, 169.83566894205862, 170.22703255261501, 171.0298615794643, 171.18475794981615, 171.25496216391753, 172.10088588006928, 175.21319652261667, 175.26300718818302, 175.56943263040861, 177.25411649331429, 181.30800989933991, 182.0012820766382, 182.10190886420068, 182.43288896564823, 183.79117798233645, 184.10973142729279, 185.62052595145121, 185.72775618992233, 188.29277081955084, 188.64578281971092, 189.33916389419187, 190.61911412896058, 193.10726607297289, 195.98690471745394, 196.34257140159932, 196.38705778076607, 200.88881518340494, 200.96231412629049, 202.33120700148322, 203.31930369333389, 203.64918125642146, 204.89490421309603, 205.03889379815621, 205.37800854812889, 205.69338851043278, 206.30896774893424, 207.38360019660431, 207.68397500172702, 208.6279802793114, 209.96654892580543, 210.99749523830712, 211.9999142498624, 212.83132144843833, 213.52087729657327, 216.06783448888933, 216.18984019431639, 217.2748915279941, 217.29856644645764, 217.8203192983996, 223.26233394182185, 223.9658285043123, 224.30148576042862, 224.63083325276469, 224.89508568965189, 224.92035379030855, 226.89981342047011, 227.22673641814922, 227.5445653658393, 228.66156971984864, 228.93123574198265, 230.10147611471149, 232.10512959583127, 232.41664769130463, 232.55155876973947, 233.39948357760801, 236.73356754014148, 237.16804746865955, 237.87246078200326, 238.04416457928664, 238.07009954318633, 239.63893161522756, 240.36690400975684, 241.22161059681005, 241.84097305924345, 242.42924301102994, 243.12631408460763, 243.99159402183687, 244.96492246539353, 246.04135234200976, 246.17934015943885, 247.15908629029366, 247.83535602560269, 248.14157562380049, 248.87286286382181, 250.93634399368884, 251.42407412686836, 252.05858501321416, 253.1572161171172, 253.88441872040835, 253.98599798970409, 254.55667518723152, 255.15655608817252, 255.36608068180172, 256.11805968576351, 256.51323221524399, 257.1529393497687, 259.25788203512593, 259.36278910788877, 260.55666841948266, 261.57830629541576, 262.72499141346191, 264.42958684743593, 264.55014962930716, 265.11612751221958, 267.65697014419806, 267.89743917870646, 269.08391067475685, 269.26118149831893, 270.01920369670933, 270.19764988214467, 270.40776448291086, 274.27561003277259, 276.036256279707, 276.74888525744331, 277.76706670391678, 278.29678301937025, 278.68857110742755, 279.13701460409891, 279.20806741008647, 279.53558450980489, 279.88062881153269, 280.80472694086802, 282.17127632571021, 282.28360268664011, 283.12156861322592, 283.83776784963618, 284.47950080168778, 285.92976592466499, 285.99334893442187, 286.93710736791252, 288.17431186058229, 288.37799143797986, 288.56437372445424, 290.47497221585888, 290.75024306486, 291.40343683926642, 291.50794740697143, 291.68050135629255, 292.52520512900054, 293.235190996835, 296.05148626955696, 296.80378731989231, 297.1744387573832, 298.36239111216503, 300.41085719586573, 300.71128124373183, 300.80675651932705, 300.96200546977781, 300.9851905666568, 302.92320252638677, 305.00975291249307, 306.45175138739449, 308.53940955195662, 309.31432777398362, 310.16344842734992, 310.38610426429307, 310.53742285249251, 310.67216488672858, 311.76478904091982, 311.84585045501308, 313.03177466536448, 313.79273511889608, 313.86669346405671, 314.74200178761754, 315.10919246204418, 317.52104851079463, 317.90931356320806, 317.97747387253128, 318.14243902586833, 319.91961877962115, 320.41715359819415, 320.43962673860693, 320.64189499279178, 323.55863745492678, 325.15577124059001, 325.85407433549716, 325.94109122728372, 326.36859302598867, 326.42281597074071, 327.43737994935407, 328.21302566410543, 328.8160679866815, 328.83710821793227, 333.01139585762337, 333.15587194051352, 334.7832738827787, 334.99870735101661, 335.97084884235579, 336.65138800305778, 337.44784403461733, 341.18203385061167, 343.12092659480902, 343.35794770332984, 344.14997920545136, 344.81102601030881, 346.04988033791017, 346.14895705353268, 347.92202941628926, 348.32116508389998, 348.82135091693607, 350.49567123441835, 352.95305815094252, 354.64546726429376, 355.09699385726736, 355.40393881450956, 355.57660911553336, 356.3841898984241, 356.54903493202295, 357.77046943786701, 358.69699784136009, 359.51734392200802, 359.73489288913652, 359.85842335092229, 360.42672902049117, 361.34382282249567, 361.91061653567152, 362.39536380430144, 364.04918769228425, 364.47830267535483, 364.84909071433907, 364.90353775222519, 365.51910551228224, 365.70770449730514, 365.74884829411553, 366.44658879424702, 368.93668621974422, 369.89055118678579, 369.96762699037572, 370.78062815923266, 371.76332191652085, 373.69265836438717, 376.6324927587259, 376.96343443213453, 378.7630735213969, 378.80795969234566, 378.84050363570532, 380.0971703904367, 382.88045329034566, 383.16007422758679, 383.5445435570328, 385.03139815286426, 385.81348532661218, 388.90168927320622, 390.70317240564469, 390.86272300528526, 390.89941672683659, 391.25790774707451, 392.06902791732136, 392.437735244333, 393.02908804286523, 396.63966328642573, 396.67886755306597, 397.58673104588115, 401.05246349080824, 401.13903349996122, 401.98355585141775, 402.15001271070213, 402.95776258210759, 403.00520283399129, 403.69744252692419, 406.55267453596878, 407.81534558853355, 409.0810346167541, 411.99930896450553, 412.83390833026658, 413.08568488871538, 413.17409901836817, 413.63877829481294, 413.68368852139196, 413.78430017438063, 416.85034028189131, 420.90733946989934, 420.93806093329351, 421.05693089672917, 421.858517745504, 423.48368496696747, 424.2729311284744, 427.9567088176554, 428.69610358476865, 429.01195297604357, 429.06713144593357, 429.37072841419149, 429.44842190954608, 429.52372887170498, 429.71437643859787, 430.25161784739049, 431.52940696903846, 431.86057977225403, 432.29588230681401, 432.47857735900539, 433.57515145354091, 434.03185707336286, 434.50811943255582, 434.77419252089226, 436.6262532902727, 437.01916658914513, 437.65781242687717, 438.59755395417699, 439.92325589011932, 440.2808265705587, 443.09568667396206, 444.59326500963641, 444.93953609560685, 446.78537160157106, 448.02397729533641, 451.33361289028153, 451.38738504764075, 452.87266638125999, 454.01971108136888, 455.13463162791612, 458.95225619348741, 460.78980635445004, 465.20934139465095, 465.5334207266323, 465.93543822100065, 466.69613857201074, 467.31425767022512, 469.1248009186794, 470.60153205884365, 470.7941633890145, 471.92281171090275, 472.38851735419553, 472.65757772639444, 475.25039883580706, 475.29104683195754, 475.42897913370894, 475.50893961519063, 476.19286777453743, 476.31075499771606, 477.18020607618877, 477.79674998523353, 477.87713316073797, 478.62638857339277, 478.91690917399973, 479.45620995435178, 480.05845637369646, 481.72372243572499, 483.38976013207287, 484.11602796405651, 484.32151541435258, 485.96738749623239, 491.89413507944687, 492.21401540778805, 492.8373815588721, 493.49569405275264, 493.67775547441232, 493.86690846456304, 494.34008691613633, 495.43907726306742, 496.28999199383873, 496.43458490553996, 496.61537801238433, 497.47596510474528, 498.10754583582514, 498.49069003607383, 498.75803083715977, 499.37429365490021, 499.54331681597876, 500.84606697571184, 501.35882456746947, 502.8418708081366, 503.74374895192892, 504.18288486456493, 504.80101159091907, 505.21585895424892, 505.53231534111745, 506.83530152489999, 507.03779617913847, 507.8724011539058, 509.86936031025289, 510.36280029747962, 512.80530246496517, 513.43509681520891, 513.98094300194418, 514.3262842522347, 514.8106738899952, 514.91193887577731, 516.04005267956563, 518.07726374588833, 518.23029391051841, 518.51476454374051, 519.27150162936402, 521.66822469993292, 523.81199018251948, 524.27608659240627, 524.76564702342694, 525.4509664005775, 528.23789398148767, 530.03825570519405, 530.78556446672997, 532.72246928652964, 534.80046213517608, 537.24588633894427, 537.34948310338484, 537.66913639222309, 538.18229083858728, 541.84015904642297, 542.33195136224185, 543.15793021970364, 547.044494412939, 547.75156343723665, 548.19250769985194, 548.42624844471413, 549.03519918778613, 549.33582527909857, 549.99564159905628, 550.34727371858776, 551.82166783567982, 551.98408778753708, 552.54944441367184, 552.79565051451243, 553.56419263454745, 554.39818578599511, 554.93745232654919, 554.97087479325705, 558.1970181847621, 558.87485302430025, 559.96629421323155, 561.46354674374049, 561.97280423975428, 562.52618358423138, 563.80963732193447, 564.03049352023538, 565.78703011144864, 567.56922652652247, 569.52053925419455, 572.13290603123619, 572.57161730497489, 573.27391070229714, 574.82409511518347, 575.87556037323895, 578.7475626259984, 578.83304088777891, 579.55167080663557, 580.34027560021843, 580.46680620731161, 581.17696796635482, 581.32484701565113, 582.34561444041697, 582.48951254372037, 582.67279164691035, 583.02927616646946, 584.46314531916585, 584.48681115594866, 585.33734793569784, 587.13968200961006, 587.93745201986053, 588.03833759644328, 588.2850843408994, 589.29217500390405, 589.94180275709175, 590.28977316561361, 592.466936524429, 593.97937119049834, 594.08621961679523, 595.35943210503785, 600.25320457423902, 604.39873547505067, 604.73263220271519, 605.43541419058636, 605.56152567056188, 606.27774393561083, 606.60137270321479, 608.3702800778118, 608.45140284481306, 608.72050366373787, 609.34374694126313, 609.48384875304191, 610.90073451584021, 610.92306851596197, 611.13303148440559, 613.46428252311034, 615.02308786526396, 615.35256017079917, 615.51467329602747, 618.42063751766545, 618.72405166857129, 619.76366913282527, 620.65031446448677, 621.36288122521955, 623.03465578191845, 623.21065466260643, 623.65635413742007, 624.19657645532686, 624.71200960607041, 625.77390270253807, 627.12046123503217, 627.86804621353224, 628.27459728047188, 629.51729611225937, 630.47147599252708, 630.78163142838901, 635.10934926143852, 637.15423108585776, 638.98058565724273, 639.36926676298333, 640.12859034990788, 644.43264960006218, 645.37057639040449, 645.78335535389431, 646.82814779336081, 646.86823323339161, 647.59424550439087, 647.99166394441102, 648.71589151845342, 649.13715666609266, 649.26378362035075, 652.38738538769667, 652.42952473743787, 653.20853802551358, 654.40187363514656, 654.49997009728543, 654.8740527879238, 656.03431728794453, 658.97355195849605, 660.67962335648156, 660.96986124641762, 660.99104028655677, 661.44269141357381, 662.46242380650233, 662.83862223466576, 664.96979200327883, 665.94587969285885, 666.19857437607516, 667.12435448316216, 667.30594822086277, 668.05940502397323, 668.72256253652597, 670.21369848649408, 670.6584717658327, 671.29942543479956, 676.97155787206361, 677.74816974022019, 678.67581294909485, 679.22060431146417, 679.7312255166612, 680.07398780127608, 680.42630745095119, 680.54725527963728, 681.02840087368827, 681.41399504453329, 681.69806583983416, 682.76858066902582, 682.89058838730409, 684.92435724096958, 685.37324266290614, 687.00222465432535, 687.3557817245561, 689.21402667141194, 690.29318901707245, 691.33249998358383, 692.35029557731445, 693.47138568236528, 696.49030283252478, 698.22269288211999, 698.37777182867933, 701.69563031474434, 702.10651426391223, 702.25545895869891, 702.32472706879162, 702.5991135710932, 702.81109273933271, 702.99693652384678, 703.06608230170571, 703.32849900846918, 703.47434318584226, 704.74088059402106, 705.46957142612121, 705.8084762558567, 706.81379680160262, 707.23620760205426, 709.80334896365525, 710.10075508548016, 710.77242426404837, 711.84736491464037, 714.36629490804648, 716.28863139361067, 716.93496830942775, 717.53126374396481, 718.37859300756588, 719.4232667885824, 720.82943211075951, 721.20429144247896, 722.33812745122304, 723.02414727590622, 723.26105027204505, 723.91560930237517, 724.48739212856719, 726.03494434675133, 726.09525268453342, 726.13448628271613, 726.93115707288405, 728.84678251050866, 729.3467908033241, 730.56322987371277, 730.99939160815541, 731.51462527162971, 733.23691048430373, 733.49933292310754, 734.39165689962692, 738.25300379982696, 738.53061004262759, 740.32381119037518, 740.63927725239932, 742.27637092858561, 743.79760019407649, 745.48051887896133, 746.15455959617464, 746.22141101041086, 746.34843561299806, 746.55846605466354, 746.81362314512171, 747.86290596506672, 750.28113153121103, 752.33034232784507, 752.84915611554879, 753.41042894685711, 754.0993655176735, 754.38646739526109, 754.81578540940882, 754.88851291570779, 757.28709737848305, 757.8059400198664, 760.70900011393803, 762.63196115253527, 762.65791093354221, 764.02124852638599, 767.0913750276768, 769.06579190504522, 769.41800917453133, 772.222577276572, 773.19543053915083, 773.2163068878815, 773.43777848525667, 773.63556569635773, 773.67524293857491, 773.80567891392025, 774.97871763803778, 775.33018873472372, 776.00625238312489, 776.42853002452921, 778.65588586928675, 778.95691406802132, 781.28762998486479, 781.94464388742506, 782.07598163553223, 783.45901951563519, 783.91631134930242, 787.73159756750317, 788.5957874168854, 788.98854210321031, 789.08335413277325, 789.2406019799605, 789.45030703179145, 789.52898338489581, 791.24479956553353, 791.56830062355596, 792.65708026709603, 793.15038819053132, 794.10477536510018, 794.39507468380293, 795.08928541820103, 796.73305052020044, 797.77625331216223, 801.64604045952865, 802.09865906449136, 803.11044091661722, 804.14071569974021, 805.21676943912678, 805.65124338008923, 805.76955047920148, 806.99947721625279, 807.23277981772003, 807.51498901239859, 807.66840372499848, 807.92660621177515, 808.46280968518897, 810.55146594754103, 810.64890260406685, 813.72500933876836, 814.1909503990961, 815.09242119966166, 815.61826419659758, 815.78774424715095, 817.06605797825659, 817.43096537241684, 818.00460203166551, 819.41787301980082, 820.03642077774521, 821.84608453025191, 822.05972086536519, 823.58558556857713, 824.49756050854626, 824.89356984610481, 826.17036935456213, 829.08772608892104, 830.86360852646715, 832.64205050238888, 833.19660896189066, 833.44983588622699, 834.00181893935996, 834.75253076442107, 835.95692573503595, 837.62702094675183, 837.9245167668754, 838.88822148313022, 839.87838504505157, 840.42217756164803, 840.69440541007043, 841.79586396346451, 843.13956976556881, 843.41460756782556, 845.07273781732943, 846.45050767243617, 847.96999861807217, 848.21480779269996, 848.78143847575063, 849.86574068468326, 849.89266154294694, 850.59034125124344, 851.15751586567239, 851.83089188436065, 852.12073491527178, 853.04710058424985, 853.97668170048416, 854.51703551984042, 854.83294938045537, 855.96598648764279, 857.3624664507862, 858.13179648336654, 858.51964024017298, 859.0838242205557, 859.45053307295586, 861.46975087685712, 862.64490191887319, 862.87989946819528, 864.97311671498346, 865.02884225893411, 868.23181513287795, 868.89154390789508, 872.262248564233, 873.15062824135975, 875.50108662789899, 876.60894876362386, 882.17051275612459, 882.20568282462978, 882.31608650939313, 882.75237941976536, 883.23988919749036, 883.32606617787064, 883.57482413850789, 884.01782061156189, 884.31329622573537, 884.94283591116493, 886.77877574804677, 889.41302539860385, 889.72628826289406, 891.03438633724488, 891.13062168264628, 891.39170720945879, 892.12423344131116, 892.4076777288052, 892.61763172064013, 892.84723066358561, 893.58868696902812, 895.14357231640997, 895.22877181367403, 896.54791864293782, 899.41343018499367, 902.63027933125966, 905.61525438418062, 905.67567506249509, 905.89333576372758, 907.0245514231276, 910.87972426379247, 911.95242297004108, 912.88607401417096, 913.67295852339169, 914.11224685726643, 915.29881381244104, 915.89090880534161, 917.58532321211487, 917.8342015150015, 918.07541071803939, 918.6555011570141, 919.9784136458087, 920.09674785061168, 920.19130331118959, 921.40201434557184, 922.99922181190254, 923.68981874863277, 924.74988745522569, 925.13146238818251, 925.57211547296606, 925.65990183638769, 926.64581861509839, 926.80047655224655, 927.1753134659707, 929.24360114007754, 929.38216686988085, 930.81601594454116, 931.05148429277301, 932.00184355677436, 933.71108769535158, 934.38013776596426, 934.7499775358051, 935.52681428331812, 935.99433935792899, 938.56624826092013, 940.64497380025875, 940.91252674410282, 941.25536691132493, 942.75981624035853, 944.12807475631075, 945.10769156338074, 946.91858791114521, 947.22142875853524, 949.47323689942118, 949.50249517791883, 950.60025308892796, 951.37994755153204, 952.70107633887756, 953.50102902260414, 954.43460720995074, 954.68064390919801, 954.89857507435681, 955.30490182874883, 955.34405754918487, 956.08568626927956, 957.34528049653306, 960.10995835319716, 961.60581278601785, 961.91335285793468, 962.90456526433138, 963.83127388443347, 964.50338248732987, 965.25028081783341, 965.93991949195902, 966.25296190780773, 966.72509333326923, 967.05944005686274, 968.33751584071956, 971.24192842010473, 973.34550757107581, 976.90937851094122, 977.26944627192393, 979.91858318119034, 980.16329484040023, 980.47941267356032, 981.88124850329154, 982.70302056047865, 982.87807512650113, 988.40896658948702, 989.05744115644814, 990.43564909723671, 991.08795519912246, 997.1128542807719, 998.65485435567348, 999.28688813282781, 1002.9669452020814]),array([82.652742701050641, 82.906138439214146, 84.718871407196445, 86.420732651488706, 87.324205742693792, 87.726830669125036, 88.18103689378853, 88.63482248458098, 90.173848299217752, 92.475377165728318, 92.948312774523728, 93.602373331306922, 93.857070313367046, 94.677969298658098, 97.093826175975764, 97.345080180153673, 97.542786982109519, 97.727363477188135, 98.48731683691264, 100.26182390828394, 101.52232846876676, 101.91884296532746, 102.56453411360411, 102.67630661498627, 104.1683724947591, 104.35571868544982, 104.5338339474801, 105.63016516648435, 109.32890021175523, 110.37568342812159, 110.96238822388206, 112.20196621562273, 113.16702543045436, 114.21972837782782, 114.31727425800088, 114.61495308532119, 115.4875208913482, 116.13755022045454, 118.17153971348759, 118.80531703539485, 120.59669210312052, 120.81846441617607, 120.85278140002816, 121.40285079422476, 124.32450067260704, 125.00535272284715, 125.04791398727723, 125.16569398333246, 125.93551950230759, 125.96016349463206, 129.83150557328452, 130.19966669245269, 131.01341980439042, 132.50757940164857, 133.19405169972089, 135.70685650403911, 136.03064320925154, 136.71014618301393, 137.94016205704307, 138.08050826812374, 139.39452974613798, 139.64123348355017, 140.56656334965925, 141.01755032299107, 141.0702155958854, 141.67592402598206, 142.73208926783997, 144.93326689659054, 145.01667458601125, 145.65551750873394, 147.28325154449939, 147.48842783806026, 147.68504165313246, 148.10304162155529, 148.72717771143255, 149.92395589267815, 150.05887518427241, 150.31660743769433, 152.32825883227571, 153.68098381023614, 156.9130460203082, 157.90819505430144, 158.79224185610252, 159.35137380066783, 160.9525278033523, 161.10073603634555, 163.06062148758559, 163.10534617814093, 164.10252228186712, 164.31281920981414, 164.35538523948154, 165.85821117392834, 167.67772151147219, 167.85011896276453, 168.405030677431, 170.95744445830351, 171.46696728184284, 172.74940758007605, 173.35307479618345, 174.4564129729342, 175.37761875834784, 175.49182570970049, 175.55315637107151, 178.63674869864232, 178.96716777883131, 179.27933172650535, 180.55826626821812, 180.72218056032449, 184.62173137632453, 186.92869010039396, 186.94966985927528, 188.98522683068398, 191.06686087391728, 191.77114554201268, 191.85621540064784, 194.24461898733989, 194.8627213014116, 198.3696979401962, 198.84612928127109, 199.27366386453599, 199.56848820611688, 200.26743391186875, 201.49359103443021, 202.04306809762028, 202.45398036994587, 203.46797927502709, 203.76384152430759, 204.42615963374152, 204.9772878195692, 207.05657378703023, 207.75882872040282, 210.01696390551473, 212.20167328834378, 212.38084580060695, 212.93570168241573, 213.44888088824547, 213.5844308670863, 215.97746803940149, 216.23672479376776, 216.31399093197572, 217.79163635048138, 218.28597054146809, 218.40638313346497, 220.06540402336643, 222.31419544831991, 222.95668909310831, 223.43428788514285, 224.02933922000923, 224.61822520705672, 225.82101613051177, 226.62965263865595, 226.66743224271468, 227.07450425761422, 228.5461788249674, 233.40482165935688, 233.93772824669821, 234.51500212444589, 235.11306330653883, 235.59633108814137, 235.82462518184542, 235.965250107114, 236.05422602560319, 238.44841336817427, 241.84205248369796, 243.35410110446512, 244.8985050473548, 245.87804805863206, 247.08213769239566, 247.61754050097258, 248.3959239226578, 248.68669748054091, 249.16557625087901, 252.3084472157403, 252.42923537692386, 252.97794331052947, 254.39844569034739, 255.16837246245336, 256.28475300933815, 257.09701561213069, 257.68414564522743, 258.13070334909668, 259.13272602516224, 259.86691968032551, 260.83909235115851, 261.03060391927272, 261.70762125123622, 262.44280447784661, 262.80596484177931, 263.03242619599621, 263.77866534573735, 263.87403554637569, 264.80474981128162, 267.22454707741815, 267.25353490995639, 267.32382590482155, 267.76658373617585, 268.03661537894817, 270.64510604898521, 271.12272961627542, 271.1656396314994, 271.25744511538244, 273.73962249367037, 274.87472314804904, 275.64611830446631, 276.42761537925361, 276.5904314351543, 276.94753649482556, 277.34954759561288, 281.4731984332434, 282.09260639485456, 282.11534635848727, 282.6275105910363, 283.0113901135806, 283.19161159956872, 283.25191495771242, 284.02894239698816, 284.59677302435136, 286.08196618203772, 288.45075371692894, 288.65237697918093, 290.94011209401577, 291.50014155744356, 294.42738935919334, 296.80048806487184, 297.50973404921541, 298.95562755439892, 298.99175923407432, 299.04574207934814, 301.14831028766901, 301.58064083363615, 302.38480012974327, 302.57186979013233, 302.77960733142595, 304.29844497430668, 304.43687258249338, 306.37045266073045, 306.68306883109273, 307.78571067012814, 308.39691307551709, 311.72107191410606, 312.04508626436359, 312.56782050054278, 314.75901168611665, 315.1168716330456, 315.58818314960803, 316.00291010459671, 317.43426259416259, 318.24139195883981, 319.11941906027226, 319.98648516926528, 321.29178659968397, 323.728151965949, 324.56500374248049, 325.46639776521016, 325.86884590330732, 326.54337367809035, 327.3681386710274, 327.44374192873966, 329.25965954746101, 329.32598263994288, 329.69259562923634, 330.21951158231116, 330.92896405505587, 333.97639567535867, 334.25500999446217, 334.63785067295851, 335.01748891262639, 335.21512152277825, 335.64443241838069, 337.1429862814897, 338.64960019457294, 341.68269167936035, 345.13377771025739, 348.07535570925734, 348.29255053577657, 348.31787757984159, 348.57538929479836, 350.08802175963149, 350.42839829563746, 350.92971771558274, 354.82700058838958, 356.34451496303382, 357.18486232410555, 358.02892635425485, 364.25704339960322, 364.60313548585935, 366.37291266349564, 367.87102980018483, 369.12788993108859, 369.80381463000339, 371.74632413580821, 373.92610169862598, 376.52961404022318, 378.78735311053015, 379.27730752501918, 381.50600971525341, 382.39814763724314, 382.71781378732123, 384.85567809096443, 385.2753345849286, 386.22609186739453, 387.9703804408407, 390.54186166229016, 391.36777691086621, 391.51169492020455, 392.48634566965933, 393.01105184683911, 393.58743954391394, 394.88806197842376, 395.24289994474509, 396.52021859847054, 397.20924313343204, 397.83465856940614, 398.99426403176466, 400.46651757489724, 400.66361476784834, 402.571013783571, 402.91770764566411, 403.81135160085643, 404.32595575517564, 405.28077155524238, 406.46331235361413, 407.04724011087239, 409.04892350580923, 409.19022079406244, 409.4550362908966, 409.65554129375187, 409.90795237048115, 410.69912714219492, 411.44343555861241, 413.65411028834228, 416.02573835630102, 418.58248895192725, 419.5099301561695, 422.33740495013325, 422.90617770481987, 423.02887130368248, 424.31985405646049, 425.13745965172819, 426.094644335493, 427.1990346557123, 427.32764265535695, 427.89842596898126, 427.99913090939162, 430.94620047634845, 433.52750903786745, 434.19437077941598, 435.43786829034622, 437.61270397322676, 437.77489991323029, 439.41598783537432, 440.59048434417781, 442.37443451460501, 442.6141676648727, 443.56181507496444, 443.92029915670412, 444.76480199477618, 445.1747651969664, 446.30168581376495, 447.07051184921431, 448.17632660363591, 448.65805283524151, 448.98951885147926, 450.09337519477066, 455.0310968433464, 456.40729646153017, 456.72486883753425, 457.41227467393838, 458.34960157728472, 458.98732160333554, 459.5823784901836, 460.05698407721974, 460.20987128811657, 460.89096746477298, 461.37609873736398, 461.64667540839486, 462.61941735174224, 463.69082924640793, 465.66485119064629, 465.70895274793071, 466.01614356877553, 466.22249415973261, 467.54247660695103, 469.46347403590687, 470.15155686160222, 470.34802179706281, 471.1228933232187, 471.66807682040115, 472.47873445819846, 473.75415334705349, 475.50413765689228, 475.85333044417234, 476.12599179713328, 477.43432499437802, 478.62320290840114, 478.77513385339302, 479.30730063017143, 480.54322066299267, 481.10071113922749, 481.54211838106511, 483.38996880659022, 483.68752763946446, 485.29290771535665, 485.33406326243892, 486.98766050634629, 487.94498423236348, 488.02164284163803, 488.33190078647556, 489.50530467815082, 489.8373646420003, 490.70975771766336, 491.4077561958062, 492.89979131199061, 493.96543458717235, 496.20971199475497, 497.39215805252519, 500.48906164629739, 500.76061374487278, 501.45693476316853, 502.60693772918222, 503.53427428345469, 503.64907987741759, 504.5111982327499, 505.08346859654091, 506.50579130271791, 507.68639754693282, 507.91941940158625, 508.14883335428578, 509.11368085593864, 509.67600049108705, 510.90257287878944, 511.67519655192467, 511.74119945648181, 513.04405587871497, 513.23353731977625, 513.44149296962394, 514.28614605503753, 515.66202929247277, 516.80450879587704, 516.87054813409588, 517.12001995451237, 517.92723846584511, 520.0647951582805, 520.47247572606034, 521.45212643027924, 523.01350663788526, 523.83590490089568, 525.71068499652392, 526.5696685463397, 527.44864417939652, 527.62589802437549, 528.87144916297541, 529.55415864445229, 531.29341519401669, 531.38230873251609, 532.55047439702673, 532.82538642318002, 536.49762351360141, 537.29877169899407, 537.39723597658917, 541.41027957799361, 541.71687786655116, 541.92382463231081, 542.00626740401106, 544.33272974171257, 544.56213085484239, 545.44819327625623, 546.85149019569894, 548.41747686489316, 549.66695379316013, 551.00903635206726, 552.13857472278494, 555.40369722507694, 556.25681070940084, 556.45396723248757, 558.7917531546824, 559.36317503706016, 561.05855183683434, 561.44725720550321, 562.97811153464477, 564.26915913075311, 568.41795296388352, 569.4978902805957, 570.14622054983977, 570.66464808007822, 571.41352411574201, 572.12169891909832, 573.01319980715198, 574.99621808058032, 576.41216101155521, 576.59473152776957, 579.25200410320679, 580.34733375517101, 580.75250598026844, 581.97089065720706, 583.75248469913595, 583.92512874377064, 584.59252948816857, 585.24462005999601, 585.47503467037154, 585.88649053580718, 586.67214040883869, 587.38445049484733, 588.69117602353185, 588.87575635498013, 588.99621773864476, 589.34468532988058, 590.36899383768002, 591.42627416535481, 591.51649268754863, 592.35778479132455, 593.3619388267939, 593.48500203661229, 593.59599261264259, 595.81062390401848, 596.57816868726115, 598.13829671531835, 600.07710103597935, 600.83159731102762, 601.53009381909521, 601.69677887641842, 601.9053200022804, 602.00964914247004, 602.49359554919397, 604.73211079788439, 605.86191222960463, 610.05415210221383, 610.14760150567645, 610.6119388303141, 610.80330295899535, 611.36139659606647, 613.13107201182197, 614.47593683230252, 614.98661479551765, 616.19878519081726, 620.38663234473279, 621.78094992873889, 624.23785294384481, 624.52944547319225, 625.1284943253653, 627.40339301550216, 628.32315837902331, 628.93564131635344, 630.44745156103409, 631.61844432482417, 631.83040632843949, 631.94536797344142, 636.69042022473207, 636.77043413147385, 638.40881714214936, 638.87136459010685, 640.27612730564078, 640.54037198151502, 640.99373647136656, 641.88437555706491, 643.53601891710855, 645.64091645889789, 648.0679111601869, 650.89709975538472, 651.24129059264681, 651.27178471228831, 653.30474800109243, 654.88623203716941, 655.21811901812623, 655.83904003706357, 656.3712698276845, 656.72101361005491, 657.01639200996476, 657.60568553649512, 658.50342981833307, 658.64145763577949, 659.26612864996991, 660.17085501505596, 660.26359549943447, 660.74391800902674, 660.9123327292665, 664.04436595030495, 664.65099022944594, 667.0845890002812, 668.4530204485369, 670.06834126522688, 671.33237593073648, 672.38002202977361, 672.59936277732538, 674.24978313430734, 676.65517696645918, 676.9973318484017, 677.60132780089759, 678.28759746702292, 678.62919869805012, 679.30283965906176, 681.54163942581818, 682.99543121986994, 683.24354322230613, 683.90945175649836, 684.5514206400477, 684.62739640035966, 687.57127973560125, 688.44880534827814, 688.91300686794568, 689.51946669227709, 691.08707333077393, 691.52346233458775, 691.56344219636401, 693.81896424156264, 695.86887175745085, 697.38380025618642, 697.65891592368428, 699.18350266545019, 699.75381341459786, 699.86509174234959, 702.00922350894893, 703.93208243770528, 704.17337181811649, 704.95028970066994, 707.87548819750634, 709.35502998529819, 710.61914631024365, 710.89295140652598, 711.04024547501388, 712.19770135118131, 712.92489204089145, 715.40428717880366, 716.04371933196205, 716.1046492000504, 718.74239801016199, 719.98762331949445, 720.63280407702825, 721.21406858064927, 722.42953079629649, 722.5459849932646, 723.3320847015068, 723.37351835475204, 725.36775949991738, 725.56042612703322, 726.29617058672056, 726.32775596821625, 727.2075013921866, 727.871535019259, 729.02123409168371, 730.80854464649701, 732.12328916846013, 732.90689718489148, 732.97983378562208, 733.59445714103958, 734.85018205109918, 735.57987524368798, 738.61368432313577, 739.83356372788296, 740.25509353756081, 741.13398194535694, 741.18244307882367, 741.97207737499139, 742.56106559227226, 744.19805683505513, 744.84084603332838, 744.95422401049075, 745.32247451031662, 745.42838433639326, 745.79475038043768, 747.00290781623573, 747.5738435889624, 748.3423842776316, 748.86737047011093, 750.38536756225415, 750.54096025248953, 751.97613173529317, 752.00546628144343, 752.38250717085384, 752.88599822416938, 754.45496179434031, 755.80649660328834, 757.01860136279549, 759.65923291817694, 760.47761346193931, 761.21250494191656, 761.94348973389606, 762.05427541098561, 763.32518400863194, 764.7886920773675, 765.63236694090733, 765.65695647741495, 766.45820764321127, 768.38653098845498, 768.58864062563407, 768.82031442606217, 769.1653074050239, 772.5506613116047, 772.87224480242617, 774.17125639394635, 775.89191161146732, 777.04607400777604, 778.68995750976626, 779.98731051904099, 782.69892221467171, 787.82442922737471, 788.17957622885876, 791.26552586840137, 792.92594310812217, 793.45886136637387, 794.94472362527051, 796.20920436718052, 798.0019807277622, 800.48866523017557, 800.97544903236167, 803.0211981137096, 803.36923519954576, 803.61724116845608, 805.54379019686087, 810.69791158439546, 811.72133518848671, 812.46014898187093, 812.6090326610655, 813.51355071700357, 813.66965384877551, 817.58773016788348, 817.64019880481783, 818.29610398117575, 818.75046609127196, 821.41165966895835, 825.51462933988023, 828.75848014561552, 829.15665770231237, 829.47071288156076, 831.64132116989174, 831.70933764539188, 831.9763508016199, 835.73165415808558, 836.3685887663388, 836.45600538865096, 837.61679180413296, 837.86072394144003, 838.03895908871755, 838.28757336858939, 839.23950821895232, 840.05111477948674, 840.2323653613754, 842.93001800987224, 843.38967659236391, 844.41028648473844, 845.60628798086805, 846.1013503173881, 848.86936960520154, 851.10195235150718, 853.04477424190725, 853.49221215505179, 854.37690511817914, 854.53517739482288, 858.07378983085221, 858.61553739108933, 859.57768518023647, 864.16330544789923, 867.38472730278579, 868.67314967749883, 868.97141094135145, 870.10285204773436, 870.3394468133605, 871.47316250053098, 872.03737986406406, 872.45082308306689, 872.63528407979129, 873.37241979413432, 874.3568617576376, 875.18080911449817, 876.95597647799445, 878.18468233286944, 878.80206109852759, 881.09448231764156, 881.36807295750373, 881.97007576341525, 882.49776140335064, 883.60666165733562, 885.71509245151299, 886.21200753041887, 890.57324409424029, 891.99259527124639, 892.81318522112235, 893.38990332045194, 897.72291897654566, 898.3063031418244, 898.85368339117508, 899.6133528687634, 901.21454051730177, 901.37515452536377, 902.1833188881493, 904.04621211877577, 904.67044326112966, 904.80178076892423, 908.83222932632634, 910.36842209036536, 910.52680147236924, 913.48172296165956, 915.93096789601566, 915.95351188092877, 916.89816772037852, 917.11284852934898, 917.47147047396402, 918.00463796073313, 920.35837297497881, 920.81889821888683, 921.11467074508141, 923.99582147759747, 924.3563344814637, 924.62328374860829, 924.74176176267065, 927.23621175988842, 928.09794991608703, 930.37778883861301, 931.0068260345746, 933.10034559333542, 933.25894956377761, 933.49730106808499, 935.07152810311356, 935.89682790768086, 936.96305381480261, 937.43833898012633, 938.92467596197037, 939.18184720775571, 940.01075214197681, 941.02311911880281, 941.19821595282906, 941.22888092482208, 942.28467837380913, 944.25952564032877, 946.50790191777617, 948.01082481227127, 948.38972540704378, 948.69334965389214, 951.89069083637287, 952.04577550814236, 952.33582774901481, 952.61021823830981, 952.7317790657811, 952.84709863821649, 955.26977222405117, 955.45292315708969, 955.53632275245411, 956.71209091723006, 956.91747756888685, 958.10990591951611, 958.79476170881946, 959.83592975771614, 960.11191264607157, 960.60306381231999, 960.78737044267905, 961.24698998726592, 962.34112621784789, 963.11411466384391, 966.38673761399502, 966.74970343255575, 967.96051463078197, 972.38725267898178, 973.05918694111313, 974.50844733313807, 976.34992179007156, 976.46804502587622, 977.81807189148424, 978.32550359705783, 979.6358349823513, 980.51982270750671, 981.3005464624581, 982.27083074395887, 982.35369011028786, 985.160880620434, 985.33909902907772, 985.63408900252148, 985.99218894890612, 988.72745696336176, 988.97131952748521, 989.04332446033709, 989.58934555551059, 991.12750123726687, 991.25784885180656, 991.30412345308093, 991.83137942427879, 992.26728831238916, 992.28803368633169, 992.31433113895014, 993.4524583633488, 993.49887882444091, 993.84393604736715, 994.39724124960253, 997.74419717976468, 1000.1690947329904]),array([30.847215483149959, 32.123133225931333, 32.398721503164651, 37.620170130004396, 37.688513036463711, 38.68755812745345, 39.151485840449496, 39.345143859808395, 39.6844994419504, 39.779260618558808, 40.37923682387212, 41.2036525380068, 41.330977015155213, 43.335092939759768, 43.734497110018282, 44.05527141543697, 44.632679219519559, 45.195544206297164, 45.333897206301224, 45.638448970504442, 45.671136619111834, 46.005570017323762, 46.223896485704735, 46.451777400546057, 48.293152204063603, 50.10992994595555, 50.648445853846098, 50.954384851650659, 51.238341022733366, 52.504909699775922, 54.86184212344488, 55.262830999875632, 56.961428475891402, 58.378284832389653, 59.038909579871905, 59.364628314692276, 60.750568993955639, 62.190497226700451, 62.280206659653565, 63.556819432928265, 64.051864856612184, 64.73599689776276, 65.147799800372951, 66.10162811324453, 67.880028038637874, 69.394111274705253, 69.649223922011132, 70.046760683721345, 70.272558136507911, 70.392595081306993, 70.96076135848233, 71.522134909216689, 72.403674460579779, 72.424736964489625, 72.784117747734243, 73.242210610932034, 73.295502703730619, 73.864382624019541, 76.223392422372598, 76.841793340832993, 77.274959277464191, 77.400018618773942, 79.022028874583896, 80.057141801805543, 81.510673611419335, 82.617094896118502, 86.069419838490006, 86.855392046852728, 87.17842813827896, 87.285693816684457, 87.310032644233345, 90.551246450569806, 93.591838274125337, 96.496230834178377, 97.910723289871072, 99.065127293740431, 99.733637627735462, 101.43627362463666, 101.65646532945973, 101.76423744540158, 102.20984920962771, 104.88853324360426, 104.93936177754055, 104.97843908850447, 105.45717202271217, 107.61195815406256, 108.32287269559443, 108.883974088201, 110.24675036743044, 113.43545190279717, 117.89598304567572, 118.50279653155255, 118.60295587209339, 119.63177326929511, 119.86434065483672, 120.45055774635564, 122.67148661660102, 122.9953592384003, 123.32246218821912, 123.72551825039989, 124.9498560057456, 125.56617106845903, 126.14778158826955, 127.88474388816608, 128.49254840307344, 129.1230932173639, 129.79419820899602, 130.36048722420077, 131.25122981851871, 132.18542827708623, 133.86671654966747, 137.68611877946387, 138.41380845736879, 139.10449163047016, 139.51380363318046, 140.96782802723001, 143.05218160054329, 143.78863632134093, 145.29127816771177, 145.38269190965744, 146.0562731950196, 146.69818158486413, 147.7217801775318, 148.63438705623423, 148.77117067259434, 149.94959091795991, 150.34063405755739, 151.92058707946987, 152.0717217654896, 155.28483964428341, 156.6693307156479, 158.0515857273341, 158.38167433357773, 158.43510269887813, 158.46931399285498, 160.67203268601114, 161.70311634718726, 161.85391890238955, 163.46243027413345, 164.51432688971255, 165.30519499162804, 166.07566441188092, 166.46610708301682, 167.59108512992563, 171.31751152952148, 173.76178240352598, 175.01968658000303, 175.41253744510149, 175.43281436483869, 175.7009796604554, 176.15162876227717, 176.50558508819466, 177.06820995985748, 179.56403445774728, 180.57727233915975, 182.10980157565197, 182.62812170355849, 182.77003605376672, 184.98084467611099, 186.67409120126004, 187.18751681693087, 187.30232233196404, 188.33476331583677, 188.53835668600399, 189.43643873666309, 190.2591098245303, 192.7909630351202, 193.43314616001277, 194.12096090413712, 195.43397770594189, 196.94530323346606, 198.1804267480737, 198.90004451818717, 200.35060925755189, 201.39530267967999, 201.90883738445913, 203.47049738865667, 204.45952471392491, 205.0993762219974, 205.13220533714053, 206.15745476810957, 206.28627495454126, 206.33914214677154, 206.65081464457171, 208.81547571659354, 211.07913186672721, 211.25693978595388, 211.57665876267569, 213.26603416668308, 217.00553573388157, 217.30888348863897, 217.98931202038079, 218.63006839260737, 220.18136571252512, 221.02974759203272, 222.48218299616141, 223.06637139877682, 226.82465804522454, 227.57098133897287, 227.79098667474915, 229.11889016686655, 229.78774572352393, 230.27608652204569, 233.93640247241157, 234.84208931003221, 234.87398589454182, 235.36061449370936, 235.3831529943015, 235.55326222895715, 236.44486809846066, 237.84110381960394, 239.03558750750446, 239.17802282208754, 240.30884913436856, 241.19251339649662, 241.36653275364677, 241.44914522108067, 241.9458198130053, 243.21904266118392, 243.94082250533413, 244.44086146767816, 245.40166533373156, 245.43055988228704, 246.61867233145642, 247.68443120628115, 247.96236472761211, 248.88873100759039, 250.11998865371874, 250.92453496252196, 251.29553613582198, 251.43142178517178, 253.26822257253963, 254.18904905369078, 257.11312119001292, 258.75239032289124, 262.72779907975575, 264.02295898883176, 264.87982661226596, 265.88048242189927, 266.13721718591864, 266.34593702705678, 267.00671838414075, 269.89839332410384, 272.15176572865153, 272.87658809694295, 274.58225532006389, 275.11306604590936, 275.4844725159669, 275.5131206652768, 275.81171757606688, 276.99393563036136, 277.32000062956308, 280.94793415185995, 281.75100446182921, 282.29464570723911, 282.43428381637807, 283.20818986512597, 283.4748967357034, 283.76895948268469, 284.03415683987146, 285.0276503450288, 285.92756057471371, 287.39178181260922, 287.90997859065408, 291.09368060276512, 291.59089348513618, 293.3942098293993, 294.00000282029356, 294.86575837604266, 294.89475057317361, 296.34095740153339, 297.66446560827569, 298.44726944557834, 299.05693872747617, 300.79251170067204, 301.26496146808546, 302.75153886468775, 303.09157532971705, 304.47749792312339, 305.92459357245525, 307.28098933266693, 308.65125436989007, 312.35256233211504, 313.78484833574385, 314.34845886408306, 317.32103607430304, 317.68781291707734, 318.26476451044556, 321.05674779747756, 323.21335477097142, 323.818171243471, 324.28383465770258, 324.32288820775426, 326.54009542033151, 327.84010922930383, 328.01982462585346, 330.08699095534672, 330.10931602035782, 331.07993099936192, 331.49486011022242, 332.15278454243008, 333.25052607115509, 333.6497054136268, 334.22897091966564, 336.05455338283912, 336.30017439274769, 337.13285584287001, 339.62841300465789, 339.67189647104021, 340.58961552957715, 342.30885317428891, 342.55058442559908, 343.94227249589204, 344.07433711468133, 346.04949919508471, 346.31645188323341, 346.71702415665823, 346.7964230797993, 347.30906153182121, 348.71537073451856, 350.72033492075713, 350.95853645328822, 351.71955122332224, 352.03295047201573, 353.59029319073437, 353.91236633842374, 354.60587211549165, 355.73947123201924, 357.16205447448459, 357.60678637909592, 358.24494982614777, 358.77959945696023, 359.15197349648184, 359.47579652200341, 359.66586047841491, 361.41575513268447, 363.90095442644031, 364.93811317253096, 365.11337429712961, 366.68494035412624, 367.01056131953669, 367.46915129599796, 367.56459457370602, 368.19536961041962, 370.57605651430475, 371.10222534706298, 371.47973870617585, 372.90713076931348, 375.73848360658934, 378.10762374105349, 379.95271153511322, 384.12853551250555, 384.30707065009125, 384.94099241082893, 385.28970705465542, 386.34558299390818, 387.2888592480607, 388.29195907171453, 388.70888003321414, 389.83143335207018, 396.40644834663391, 398.44027989100124, 399.40180115027442, 399.75023936019932, 400.20948371582068, 401.86618133689302, 403.69318425410705, 404.77468901626651, 409.26184493412705, 410.89747075618698, 411.54483724599913, 412.49252973555565, 412.71981204246185, 413.81939254368456, 414.4576262125006, 414.76514263870922, 415.02530992559468, 419.30948838938531, 419.69702090717396, 419.76783647562127, 419.98706106719362, 421.33397089369987, 421.85545949422669, 423.63049531274828, 426.31916266756116, 428.89309281871755, 429.02186445023989, 430.07972626168407, 430.2596111960807, 431.3338586424328, 432.17568945439137, 432.35065933768334, 433.58841825333866, 433.91064507659615, 435.55791250579631, 436.14535349170797, 440.08546694324383, 440.70845285634243, 441.21184369447815, 441.35985143043644, 441.39327525196552, 441.43315635418935, 443.09140418326467, 444.83106690897671, 445.03629984075161, 447.74853978878946, 448.61538859045191, 448.99904424082689, 450.09762268074206, 452.56798987898878, 452.91726310129872, 453.30186815836913, 453.51716607685978, 453.8250365751768, 454.66256949510398, 456.59132115384079, 457.35410796899913, 457.65897771692443, 458.92122697100189, 460.20113757139961, 460.58660635189426, 460.70441072798968, 461.25345652131745, 463.54912949782181, 463.56966899014503, 464.10594256512144, 464.77293681396083, 464.96641697555998, 465.89510160050435, 466.40011280649759, 467.2164446313281, 473.47700168584208, 474.025987433691, 475.04867739006494, 475.38085926007562, 476.82431556336576, 478.24718437939748, 478.59755170394214, 479.0303156844929, 480.00384287486077, 481.61494148697966, 482.70642715815308, 483.66762763930831, 484.23098790277652, 484.64795525577046, 487.15381313482703, 487.36344951224879, 487.49294685932085, 488.08254018343717, 488.25930746264589, 490.70682825337718, 492.05671964407543, 493.63940480561934, 493.6599470566415, 493.82844814265582, 493.90139622523748, 494.11705142583827, 494.70548055148322, 494.94285472647476, 495.54485455976561, 496.83535950241628, 496.86754031247, 497.7304636939316, 497.80151995222093, 499.58320591816261, 499.63283003264513, 501.83172844364481, 502.0387901510984, 502.90084581038582, 503.60146260772365, 504.85265863286935, 505.75140093690203, 506.80804501585328, 507.15878996794868, 507.68100505100682, 508.13360832894762, 509.47891627871797, 510.59894801995654, 511.24669532208259, 513.72152795590898, 513.88752497976384, 516.56659907596213, 516.7939190903187, 516.8305157471525, 516.90089785275529, 517.93576902027939, 518.01857465895318, 518.42466195568227, 521.36332023850878, 523.04122080373884, 524.52949515759656, 525.3629079497091, 525.4219949677871, 527.06747352045011, 529.52983242359358, 529.9254579312975, 530.77449011354861, 533.74097324434274, 534.05921125167185, 536.20381414102826, 536.62679270269405, 537.88530324586759, 538.58760584008189, 539.52530800451166, 541.78217517376652, 544.08486690849861, 545.20451906001517, 545.42053284050235, 546.35066835264092, 546.47731377474292, 547.5983307489148, 548.24220830949719, 549.29397281452418, 549.92412288689752, 550.54002236990607, 551.32290975550745, 551.82447337691201, 554.41818860832575, 554.50535901538592, 557.25601229617064, 558.03563704289331, 558.98709007570301, 559.39474260849613, 561.70660710095137, 561.73074793164801, 562.09093522571425, 562.25673101438554, 563.39456919388294, 563.69583848403863, 564.39072764847492, 567.6905201861299, 569.18902914018338, 569.49723441904655, 570.88878649345486, 571.93813703148066, 573.57678246518674, 576.60006382619633, 578.86725228763123, 579.25137277145041, 579.41868382943323, 580.65088484294972, 580.99568846268369, 581.65626500751603, 582.10421705314172, 582.60795690933696, 583.82322867578853, 585.57007643650581, 587.10992467314622, 588.2276622537679, 589.44050880064697, 589.57197629131451, 590.1603910380702, 590.23724763811401, 590.37584616274353, 590.83011606723278, 591.54680059356679, 594.26425775072505, 596.18033291724021, 596.35675688499532, 597.51881994885343, 597.54735661973143, 598.53511377117331, 598.75146667175488, 599.50938046721308, 600.68140396544902, 600.73590771536169, 601.57781716632473, 601.92813629721559, 603.16707852954801, 603.98892003779622, 604.38342640522615, 605.11457498854952, 605.50002253733305, 608.81943742160206, 611.35389020250739, 613.93567185828033, 614.19919353687692, 615.54237761705667, 615.56764188454235, 616.09856334181188, 616.30547728631359, 617.07742370184633, 618.40263271313358, 619.68331750078005, 619.90682562829147, 621.6292531996437, 623.11888201648469, 623.29462825742633, 623.62798795706465, 625.19225385455957, 625.67746900856469, 625.84933763403023, 626.20602103953911, 628.61999141496722, 630.89444116933282, 631.37995041130614, 632.01432137241875, 632.73412234699242, 633.84732187942132, 633.97762302862554, 635.43934830249282, 639.71596579061486, 641.99720504771722, 642.92111884967073, 644.85468576196592, 645.12054255600424, 646.52160286975857, 646.93855949150884, 647.37391094803945, 654.08707917481843, 655.16396615577742, 655.9605841345832, 656.87595583352083, 657.09314455971059, 657.77473594165042, 658.77519242044093, 659.06111842535211, 659.62653597757162, 663.23003812258878, 663.90629398197245, 664.12881013506058, 664.5855434396608, 664.99827052393266, 666.69056777924754, 668.87616198941203, 668.92835872888236, 668.96161943037043, 669.42991238089564, 669.70525339157859, 669.91967528724922, 670.86266689990907, 671.24341392045915, 673.06689421426631, 673.23118685023144, 674.2662686449047, 674.40273342808803, 675.34333954036458, 675.62483506984734, 677.27699197854565, 677.66258379040869, 682.66888651084366, 682.87468564734797, 684.87957327362835, 688.27358992507038, 688.47413096469188, 690.00747783304939, 690.04338230439612, 691.23114223634002, 694.52085913078406, 696.5262856174536, 697.50761022471067, 697.90412288531741, 699.37872804637732, 700.61385524607203, 701.57637749121773, 702.45424939895474, 703.19891722262935, 704.0013317869051, 705.29377039372594, 706.73489799378865, 709.31358706960293, 710.24825459180192, 710.64097605834627, 713.25089124402155, 713.87547564658018, 714.06430732678928, 714.16066438448229, 717.40540696761946, 720.54449479952632, 720.82892419012819, 721.16511103514915, 724.00557360588971, 724.32232759692965, 725.93411717144977, 726.06918825768162, 727.24542191500518, 730.4352457727673, 731.06465182648856, 731.25641299265408, 731.85244885901011, 732.08159165755251, 733.6656894757848, 735.58262498331601, 735.77510782285674, 735.99983747072451, 736.72394245565272, 739.31246971803307, 739.99121544242644, 741.91354808407152, 742.03242117588422, 743.68434474952426, 743.74453384741469, 743.83267326088878, 745.26978789978739, 745.64299172016717, 746.19601255349096, 746.60154067463986, 747.35163429510646, 748.59962245755571, 748.67494506377352, 749.97227232056127, 750.60935012112941, 752.80534124874714, 753.0840788817618, 753.46348400674253, 753.60944276369378, 753.63300121293832, 755.87851507986215, 756.26387624023459, 756.81954845551149, 759.16178930087347, 759.29462279785855, 761.03289791210568, 761.47993713680114, 763.95142216832119, 764.62852181646451, 765.23526156762125, 765.51857434457361, 766.9323872354172, 766.98054741768431, 767.34604940585496, 768.91544177914659, 770.61720421799487, 770.72690845145962, 770.84778098685297, 772.58363231952296, 772.65688113426984, 775.12376417717519, 775.5941018181237, 775.64699598463881, 775.74647153640535, 777.34269362117811, 777.914957998668, 778.301593408288, 779.7380839034862, 780.86975183980746, 781.02329480382025, 781.68198090376859, 782.11982763814842, 782.74512706783685, 782.86179291545932, 783.90140131123269, 783.92576920152658, 785.0283845191293, 786.70530261036151, 787.5334948477938, 788.19853682468204, 788.54115352979659, 788.57716630595871, 788.6692274462489, 790.50911692819727, 791.89104735447029, 792.1229051066174, 793.68457336501069, 794.93813952953155, 795.22849861797033, 795.65594036755192, 796.29640555218941, 796.96130790718951, 799.38940086564241, 799.41123862804386, 803.24331900526988, 805.05582330699269, 806.87020811807145, 808.20905508063208, 808.46488245154069, 808.75414087581237, 808.85432421681787, 809.05161799423956, 809.10739086568117, 810.06788246502481, 812.65469688340988, 814.15862305022927, 814.65218597310059, 817.443502628126, 818.34184200883601, 819.03974360084635, 819.51915243324413, 820.45173614067642, 823.74639835121059, 827.50090782813481, 828.18799343533919, 828.22405898992758, 830.42926492464596, 830.98014818254183, 831.8046420622785, 832.59659240165081, 833.52791398268653, 834.17418076393471, 834.73012528962499, 835.22472966563907, 836.53803879522036, 836.6119597556243, 838.95773433957606, 840.10054135165012, 841.24395282510034, 842.07011697512041, 844.22357525191501, 845.41216825802803, 845.6621119688466, 846.85568905741377, 847.00348193524917, 848.63953021826967, 850.83930429318787, 851.71041350430824, 855.42979006530777, 856.46188401676261, 857.62518533212801, 859.28343816549784, 860.85066896789795, 861.85515582811786, 863.15187088684945, 863.46715781782132, 863.50437463409321, 864.15410234450508, 865.6972811818838, 866.551895858124, 868.68729732864244, 869.09366143825969, 869.81376686112594, 871.22370929572378, 871.59625936719738, 871.96075376683802, 872.04803967228406, 873.63851446852107, 874.2650784773441, 874.97333542953515, 875.39412900585319, 876.97447770107669, 879.7120923270802, 880.02322959076389, 881.11801112488422, 882.70228299576343, 883.89267538995421, 884.45025386328655, 885.19154091969062, 885.78648365956917, 886.42720660469695, 886.5486973119788, 887.19100414196873, 887.77397697825518, 888.6326351112383, 892.23023048710877, 892.80600432366157, 893.45100316557159, 893.68937019654993, 893.90036628736425, 895.63748028822579, 896.56553429617952, 897.47208593054165, 898.96973374667846, 899.77034803317667, 900.87096873885878, 902.27461118222323, 902.37871802738152, 902.85727661473561, 903.43942695749467, 904.18595283577781, 904.41270246961517, 904.6150036554593, 904.71763599164058, 906.34000892163249, 906.89670775823652, 908.33034980630214, 908.80500221633599, 910.60171214424622, 910.91542646357323, 911.40726450739101, 911.8836847344337, 912.09118288387879, 912.36406198489988, 912.72179463239331, 913.18157675121404, 913.91414332765612, 913.97737500947596, 914.39123398406707, 914.83726162571804, 916.94859937560625, 917.60163485641294, 921.191506117323, 922.1540398400399, 923.35341348544102, 924.7143922819489, 926.48759919634801, 927.00070618932932, 928.05883663828047, 929.07827807393846, 929.42939952945858, 929.70414831382061, 929.97936113754213, 931.0841229781895, 933.32024375579533, 934.09710855333424, 935.55433102384688, 935.68550820358882, 936.26276731209373, 938.10807199756835, 938.44220294390095, 939.97851115520064, 940.65378235054743, 941.3692739202196, 942.08899736107082, 942.22223591598072, 944.80706750491754, 945.49596762432873, 945.69537958662613, 947.12438575556246, 948.49089355728415, 948.68615073284911, 949.27903735683913, 949.96383851533892, 950.45280260218908, 954.08624983116476, 954.86923617187142, 956.07735984106603, 958.46638295603202, 958.87306490443473, 961.31187306880304, 961.36766169644272, 961.4225497495388, 961.76454477223103, 962.51097898846467, 962.57914831311598, 964.57329552319152, 964.64711697492703, 966.26977136641449, 968.5159383206535, 968.59372942554762, 970.25748037893413, 970.61663846932061, 971.14345350551753, 971.60074721827573, 972.64787718115099, 973.31792341994219, 974.41332436009225, 974.73805233085329, 974.91091889454037, 977.93562717789632, 978.41698978794602, 978.77361609617287, 979.03414973773897, 980.11384187313922, 981.82265866356579, 982.53676136043066, 985.11936601781622, 985.80483103308472, 985.9660556932256, 987.1115555209384, 987.50194386211479, 987.99234061674599, 988.49419689025501, 989.02289490424619, 990.15588206761868, 990.39105009890261, 991.74049081777923, 991.79589179061759, 992.33993906760622, 994.90492771324875, 996.21498159779605, 997.58326155632381, 998.56660202094599, 1000.2997610489098]),array([6.6097262054365729, 6.8130855731035984, 9.3832759122810465, 9.8093600349660299, 10.301485805795622, 10.589610572369487, 11.223629163819478, 12.864232247015096, 13.372155808033167, 13.432636828430963, 17.559778446459926, 17.967076556503926, 18.121884120460752, 18.218046565396218, 18.644983331591536, 18.851393707677182, 19.034768509279342, 19.823278622803162, 20.7095333078937, 21.897456180020342, 22.073261031898873, 22.435654880117255, 23.39453995832304, 24.093343271835629, 24.669978387108728, 25.218922569211262, 28.104373926563035, 28.376968245664706, 34.338062178337971, 34.978314169268124, 35.683428674321114, 36.668883872867298, 37.063835914008493, 37.204415187055893, 37.883407486978051, 38.513566449820281, 39.215440756668556, 39.264770514807623, 40.044380211003755, 41.591682361253561, 42.119826192854823, 42.223211787370197, 43.642980484490444, 43.873107394560648, 44.114659054987612, 45.036174674900337, 45.800079658883618, 46.415360916082768, 49.768603720662249, 53.020582163886218, 54.998673986508649, 55.456841103818022, 55.613844609328332, 55.792060972779034, 58.160446655715319, 58.501173974286637, 59.415087599054871, 60.176543347142605, 60.472278328867752, 61.776172434074283, 65.362373458756835, 65.725453742416619, 65.792854628452787, 67.975557267256363, 68.285173911799731, 69.04033726881336, 69.732837252986371, 70.651680633451036, 72.583972885703105, 72.725158107236879, 72.783645786698727, 74.046614433423983, 75.562802528782697, 76.998321000341136, 79.127380144082466, 80.790507002681309, 80.873552744414795, 82.103216770241048, 83.40213112558736, 83.542810454430594, 86.384917667220364, 86.945879445135617, 87.747212531261155, 88.987695503633233, 90.1430218751768, 91.798185983977262, 92.005772364574156, 92.652066859273191, 93.853666046114881, 95.729613853976375, 98.307287150882729, 98.38202002721286, 99.327694563723725, 99.451816328684998, 101.14785173566011, 101.53040533465219, 102.72291623272761, 105.50482942531796, 105.70480306585264, 106.44926801713483, 107.29715499352716, 107.65072415254788, 108.32420264528729, 108.60279211822406, 109.86016289950589, 110.15485506778373, 111.54895436197488, 111.83459710223498, 114.74870554047889, 115.68594554988773, 118.6266768418003, 122.40971557295084, 123.74695173903751, 123.84852105860837, 124.59365170736243, 125.30149385734032, 127.00766948259445, 129.76144968879476, 132.19270154241784, 132.33985508573744, 137.53249738933806, 139.56986479980569, 140.13401999638697, 140.89388679002937, 141.2481415045805, 141.83203634192773, 143.33327184112551, 143.64605485044919, 144.23557174536791, 146.30008803784131, 147.68798931493441, 149.18183916013552, 149.87763432096463, 151.03663067044624, 152.78907153201462, 152.97140515493192, 154.42635037565603, 157.63359487473681, 157.94970646910764, 158.64240569336314, 160.33879376180457, 160.75573991907063, 161.05388173067746, 162.91320625212188, 163.94224613801239, 168.17417197884023, 170.98031212950468, 172.59796053823905, 173.23194079809531, 173.8729410926928, 174.38653612105148, 175.89073174359581, 177.42203005867034, 178.21459239581094, 178.48890762144072, 179.89634228251015, 180.66011944932029, 182.52962560453724, 182.59374961413761, 183.52343480119987, 184.97861848882289, 187.6572065886441, 187.76950174485427, 189.15391421431491, 189.46893002229066, 190.90674042823443, 191.05700107228, 191.31279662674862, 191.38769498698565, 193.56497695777736, 199.5457078630109, 199.89540527067263, 200.04665316891061, 200.57509762830989, 202.9087181883192, 203.19221167141271, 204.94707518928422, 207.8602999880988, 208.47696381933005, 208.51475150646883, 209.19574147208169, 209.25110866408292, 210.84304979943266, 213.34430537768657, 216.31599263317946, 217.03423168932341, 217.56263874183298, 220.08047503714363, 220.77708987922091, 221.42927547535399, 221.48558324349909, 223.60255514956361, 224.74999543372863, 224.99065225134257, 225.21514826522588, 227.02234973394926, 228.98337574192658, 229.88153670848487, 229.94722126884551, 230.85743650235239, 230.93079406166387, 232.47697542537685, 233.09528018248287, 234.21365389359019, 234.6611970873526, 236.9481585625758, 237.29216036286951, 238.00012131818593, 238.0516663628438, 238.50609904053061, 238.96017050023588, 240.31832522346537, 242.07505173621939, 244.37049179039698, 245.38700580755881, 245.43889651584166, 247.34988643130526, 248.91090571612784, 248.99891858305239, 250.80622583562706, 250.99839304952002, 251.81004540264979, 253.67314551263902, 254.36930494072286, 254.51673508022895, 255.86703245535361, 255.90077449075071, 256.47151843653563, 257.04629589486268, 257.82167266331561, 258.39439296285434, 258.54518307418221, 259.24154640028826, 261.33814395548711, 262.78088221720577, 263.42439693697276, 264.44078636577785, 265.48545386672487, 265.99987073717097, 268.11265720802135, 268.8978798268372, 268.96371211954045, 269.62110398226042, 269.95330864294522, 270.49371334485414, 270.79942923619382, 274.80712925352896, 275.41020553847255, 275.53449991058642, 277.0366681509995, 278.45062211537333, 278.73762519466015, 279.31522249588414, 279.34102272862066, 280.05892236413126, 281.47180806887155, 284.34220872786534, 285.2004575311899, 285.56416113730273, 288.28851001128737, 288.64345693142889, 290.45417610388773, 292.53285906041185, 293.12691897681236, 294.08401255942744, 296.54139173744232, 302.88242973186158, 303.50023636685353, 303.77484083443642, 306.20354546786967, 307.05335495607522, 307.37031655003926, 308.30687025901386, 308.64394006738041, 309.23083152360221, 310.64025199149609, 310.68886141844246, 311.42527726485577, 313.23887373796617, 313.47589033976163, 314.13908783257858, 317.47414414794804, 317.86184758784032, 321.05742059726566, 322.28446874339869, 324.13191085592513, 325.61424111373071, 327.19758155325218, 328.71653171652946, 329.89931427324296, 330.67642661879148, 331.01254293350371, 331.63430442280645, 336.26070667983345, 337.20952491398282, 338.60309958378036, 342.73310251099718, 342.77285711503134, 344.63529337263799, 344.78720899633134, 348.00711611546274, 348.56828458573244, 349.06613980085302, 350.85805095537779, 351.47226780585879, 353.4557760738856, 354.21717121641802, 356.97996011230947, 357.09251635744357, 358.15942059835879, 359.3260305732245, 360.04154942298271, 360.44159979059378, 360.92577126979825, 361.61271903414826, 361.87495248318521, 362.3873696800062, 362.80764892279831, 363.76619117457125, 364.83555106488956, 365.23032224192559, 365.43078408440095, 365.95699206602103, 366.89445229244603, 368.69166475126116, 368.78792835734902, 368.87223404827574, 369.54585884189981, 372.43529327807039, 373.06729003176582, 374.51889179555451, 375.52834983004425, 376.40059477766886, 377.2258836414378, 378.53013929002367, 381.89677000175698, 382.09199756851137, 385.5052733876812, 390.50174186624236, 391.02530807779459, 391.86788211518774, 392.6678446483146, 397.01945454806986, 398.72278537023999, 401.02508307729533, 401.73236252615021, 402.45198662709839, 403.09448368449961, 403.90098144814885, 404.13833203787971, 410.04544234983024, 415.54020233810803, 417.78234531369691, 418.79932673888328, 418.87590695488529, 420.23293154293941, 420.56794156085749, 421.83799500083614, 423.19362868784197, 423.65581076644315, 425.43993576234834, 425.53243572211329, 426.38390422714326, 430.44448287328237, 432.22481617084389, 434.04034136721424, 434.33292102891647, 435.32032236285306, 435.55848837743463, 436.80741127390371, 437.37513889950071, 437.42985872214365, 437.76648375139331, 439.51459618482022, 440.71972715187144, 442.37006072031414, 442.83451175665499, 443.1449296145463, 444.03919930514422, 444.35455236832985, 444.39064422272361, 447.13493360996301, 447.33283610873423, 448.92087414879541, 449.0614270371438, 449.10602990888958, 449.24384355764238, 449.33073168619609, 450.96142580981069, 452.80536919628645, 453.03293640167834, 453.25626127803844, 453.6902219047966, 453.96266132436278, 455.1261870844358, 456.39919868775445, 456.74678145875907, 456.83217535178858, 457.06568695502375, 459.17568821452363, 459.4186008370786, 461.66041411330116, 461.75111400041527, 462.31900683193004, 463.24796967167936, 463.28288308801814, 465.27434526408865, 466.04945518039807, 467.47424084806778, 467.50722340108211, 468.16125360868091, 471.59228252708209, 471.79120434389034, 473.85467304136017, 475.73668048413907, 476.96334140294226, 477.78725837366062, 477.94384994875981, 478.15483611582033, 479.25276811077759, 481.11803743992391, 481.39886435537665, 481.99274373330866, 482.97186595516001, 485.73219339508972, 487.67137323495814, 487.75630059072233, 488.61676930472521, 489.40162210983084, 490.89239394229168, 493.84796319032381, 496.62745222557714, 496.79806777120785, 496.90087949521455, 497.26463636948051, 500.5109887707211, 503.70085699824978, 503.97366039713381, 504.03640843766004, 504.53151891959016, 505.22442901153539, 506.90149425914893, 508.95676623352944, 509.82704855348993, 510.23956202939769, 512.1696469194452, 512.61961506764351, 513.31815553727404, 514.44866527260046, 515.19619957816064, 516.77620190684206, 517.18481142685221, 518.82057433876855, 519.56354480912637, 519.82430687222666, 520.57207152136175, 520.89922563152163, 524.31109132660481, 525.40848172698816, 526.0355070356236, 526.33637691733406, 526.91704677767143, 529.13551029826681, 529.64500891531554, 530.05773886192253, 530.37784930514397, 532.13160192966063, 532.41002025080365, 533.42490986012831, 534.44323552466938, 534.81886693877391, 535.83432612473825, 536.62220318974789, 536.72641252006906, 537.47085871405534, 538.50000282799465, 538.82005164302825, 539.34190752721486, 540.16378320989838, 541.62493051312322, 542.74238338039095, 543.91365163609862, 544.70986591128826, 545.1500578327001, 545.20248806061784, 545.44705980918923, 546.27970138802414, 546.46460495821327, 547.59531494787996, 547.68991889542713, 548.92084545627324, 549.38425069799882, 551.21959734411871, 551.73960164987659, 552.38323447703488, 552.65030018527148, 554.45278813685741, 555.16120923988035, 559.51884493897671, 560.3879917457981, 562.67957374254979, 563.51471485727359, 565.03448161416225, 565.32276881590633, 569.25026872090086, 570.20383426254216, 571.29821044975802, 572.12305705180029, 572.6688956275392, 572.95091933229821, 574.26881549269854, 575.38410550245908, 575.81029798564737, 576.92104621317742, 577.03338642449933, 577.15262182886158, 579.0137156383114, 579.27765161068942, 580.66134926594077, 581.83405016217034, 581.85749235225103, 583.31218243418516, 583.65603577660283, 583.86985069037962, 586.58121956966761, 586.69538344332364, 587.70931056302538, 587.73733125831166, 588.73408100953736, 589.79725098853532, 591.63519542202516, 591.94229933129486, 592.5117736516678, 592.74264483320314, 593.21990182592401, 593.27992967348177, 597.1435896583364, 597.4732915190707, 597.52659437103387, 597.84692901565495, 598.45794064729557, 599.28819566018069, 599.51495500866122, 601.62861982466166, 603.48470579836635, 605.77808468640728, 607.32734289791517, 607.34939277230251, 607.63222424147398, 607.87935263606676, 610.20623276453125, 614.26569992158795, 615.41418700937595, 615.88820675025875, 616.44003019074148, 616.64122836144077, 617.39020283541049, 617.65541481311959, 618.25034518750272, 618.66918337717266, 618.81029859064142, 621.04610764690187, 621.67669550514051, 622.28825071074198, 622.31362677620564, 622.6167324337423, 624.59675216548362, 625.54854292507878, 626.12853134820546, 626.5959031077457, 630.2834296794, 631.79039995680284, 632.17816533056839, 632.68564352410874, 633.17197181978952, 633.85981481427984, 635.42204508900954, 635.44741986752331, 637.43438471315471, 637.93650730505794, 638.11914417513879, 639.27740033396014, 639.88650343771872, 641.03721765869034, 641.12839495041737, 642.74599086765204, 643.33150122848792, 643.4355160271889, 643.48828130036645, 646.39215639954421, 646.49654072746569, 646.62170571728382, 649.69824465202362, 649.89514373085137, 650.21679798662603, 650.32946957335594, 651.92271112637161, 652.4078230447617, 652.9073682189487, 654.80855244897293, 654.91663156177447, 656.34179242107564, 658.81108556227775, 659.32596158882791, 659.42974692646578, 661.35863654660716, 662.47795001686745, 663.68404051638822, 664.97688712674699, 667.99461473056249, 668.46037470409431, 669.34218516555848, 669.77759576934761, 670.86953068948185, 672.14698198405108, 673.4624332595605, 673.66683634336459, 675.75473934799231, 677.54476407403286, 677.65099760604244, 680.17967883514291, 680.55958831835562, 682.27406402595693, 682.62229677713947, 682.66988746790366, 683.13265808916844, 684.02468812921404, 684.18030516461215, 684.49163597475433, 685.29240100242384, 686.05811318934821, 686.87233054574494, 687.54852281517435, 689.87158972412089, 690.02645275411044, 691.61177837577145, 694.90555380968578, 696.22742540989668, 697.98609965539242, 698.56735139985005, 699.71585163294822, 700.21982278865721, 700.83328049616648, 700.96187269526683, 702.57149398776266, 702.62092730632628, 703.10058941190437, 704.11308738420257, 705.9308130968567, 706.28972727402254, 707.09557234305214, 707.42411723903899, 707.60567814286185, 709.44965309673205, 711.00442880599292, 711.970240117716, 712.66401732320787, 713.00507327453738, 713.3968109311495, 713.98740718912268, 714.07760261915541, 716.2873558568723, 716.87868134022756, 716.98574983280048, 718.72279879722498, 719.0406065539089, 719.19631634832047, 719.22582485229236, 719.51356067174129, 721.15260380571772, 723.79382784586642, 724.08087791952903, 724.12765625130555, 725.16876180075178, 726.95256279453531, 727.34310171485686, 727.49793019227411, 727.75533925196726, 727.964202982458, 728.07187016092894, 728.73384470778171, 732.4960297090978, 732.60890496688842, 732.80637326451313, 735.32431803519307, 736.56602888918849, 736.66937323195407, 738.16681123812873, 738.81521660847091, 741.42553670548455, 742.28832054102554, 742.65503177974836, 744.00219313349396, 744.19855050932381, 744.28080107258506, 744.52983990322969, 745.65555443426865, 746.07512375208285, 746.68385419356287, 747.17519156216338, 747.95022538689136, 748.5779189059208, 749.55980965667436, 750.15244106867999, 751.22439757503469, 752.44379789004176, 753.53259673191121, 754.37427651729297, 754.73539295437945, 757.18664801798138, 757.41417125673729, 757.96171436952227, 758.0624703655792, 758.6822673296399, 758.76350405191533, 759.23708535977153, 760.46913559505128, 761.76722278922932, 762.33853175475804, 762.72961688158512, 764.90713044333631, 765.8020175897484, 765.95668568617918, 766.537185639874, 767.70733533986004, 768.52372823267137, 771.02256078213577, 771.47706479424289, 774.42151198902548, 774.70386310738456, 774.78722000563801, 775.54054034243325, 775.7569034578637, 776.1118717770471, 776.20710995225079, 776.69967129795941, 779.2742885449511, 781.08895869815012, 781.77182864104157, 781.9463076330087, 783.21622234701442, 783.64397398593337, 784.53238526351265, 784.95014467304861, 785.12791794203986, 785.87234771978467, 785.99329067004828, 787.09286674390023, 787.58915539670545, 788.35862221156515, 789.31981401200494, 790.22578396905703, 791.04312303570998, 792.22489892320175, 792.60228314449023, 793.01747552013217, 793.85354418493978, 794.029624079016, 794.55804789869705, 795.37089033903294, 796.35797174357526, 796.4505925028318, 797.51984680065891, 799.08869705201369, 801.66912726723751, 802.54201340915165, 802.6219594551543, 802.67386599554482, 802.82505820225856, 802.92194101202779, 803.68798652892292, 804.26123396469211, 804.3663307035655, 805.60062820384564, 806.06726773071284, 806.24755134327086, 806.35976506314864, 806.86865024638075, 807.30098313838539, 807.48266321020344, 807.87527486734052, 809.4352407497521, 810.02493936545761, 813.25994647564232, 814.9710840126445, 815.38585753979157, 815.809182299128, 816.35758619476337, 816.52819840612858, 819.48163969022892, 820.04626674556062, 821.20460358776791, 821.24861828913811, 821.66984800577654, 821.73538751868693, 821.81588633331899, 822.14587994238479, 823.20272963407035, 823.42953188681565, 824.84836070316203, 825.25392085894919, 826.94795046755098, 828.26792291103015, 828.46137970079883, 828.74747975172431, 829.34766876765354, 830.0004592516101, 832.01547775952133, 835.71828765544683, 836.2037994114271, 836.70215336703097, 837.83489595290348, 839.0545996825565, 839.83897930998057, 843.14241187731352, 844.41207865982926, 845.14455117752505, 847.60480728855703, 848.06151151337383, 848.93088185398051, 849.98383962771516, 852.27456985951312, 852.30048917587976, 855.055531361465, 856.7558374451462, 857.94830399218199, 858.09596770182793, 858.30771043109519, 859.7914701104537, 859.90385959906632, 860.27877618430125, 860.34932896454302, 862.39991210956703, 862.62644678800211, 863.56596535929896, 866.10244977553759, 867.11407337531296, 869.12237166980583, 869.25543194390707, 870.14046684970231, 870.19871421601806, 871.74932121118081, 872.14764771364025, 874.0514535906226, 874.53803633682867, 875.46692204003398, 875.83903742684913, 876.89774701870817, 877.63159753173613, 877.79276490618497, 878.26797605290244, 879.98943612877247, 880.29076797381026, 880.63489238698719, 881.92007558669047, 883.49573007708705, 883.5462348138368, 884.72025807854232, 885.65231761409188, 885.87159114260407, 887.39349255834861, 888.30423996982267, 891.17766229360711, 892.23025010109382, 893.52839317172732, 893.81197451322271, 894.3475640801903, 894.96902902629677, 895.63361983476511, 896.03857037627472, 896.18070216495266, 897.01860376595312, 898.16329310809715, 898.84323453179798, 900.37730996837286, 900.54327247042704, 901.15321707639896, 901.29539060210277, 901.64679981941958, 905.34445557967683, 906.65410033796979, 906.9068276064495, 910.10939121913407, 910.73503160101461, 910.92093951268168, 912.35178675490738, 913.60071142370953, 914.34555240828183, 914.69717565690667, 914.74884881191736, 915.07605191619223, 916.39354160618552, 917.61532181549285, 917.91921840581722, 918.06032150720341, 919.10786433402188, 921.64741356236573, 921.73176118004505, 922.46919902078457, 922.7748876555238, 923.1852751481664, 923.98441536503776, 924.68678575141553, 925.00666236463724, 926.64788898300719, 926.68272097512113, 927.42272640179965, 929.07413642504116, 932.43009298974789, 932.53318565789641, 934.24341295544855, 935.56815879465637, 936.1520957687319, 937.09127866047572, 937.67374406315582, 939.77760342645593, 941.6095422564764, 943.58331208282755, 944.55606768410951, 945.95821975091656, 946.05101836497261, 947.24041187971659, 947.54163548665531, 948.53642557443368, 948.73177250113531, 950.49062741202442, 951.6079291283437, 952.41731565875125, 953.09902985933354, 956.69649179737041, 957.49982539651091, 959.16625874922727, 959.64470667135936, 960.96347307312465, 961.80871061603807, 961.94501724712893, 962.43924568552995, 962.50111359859977, 963.0393664322246, 963.50513863980234, 964.85818578465057, 965.00086003208617, 965.11265369080138, 965.73844001104487, 968.02391872613828, 970.37156880493046, 971.40492466014643, 972.4913004211968, 972.87589952033989, 973.63513549437823, 976.15421954195403, 977.99820098491386, 978.08410370511081, 979.00660794171097, 979.14474613269749, 981.24058411487147, 981.91372060944764, 983.4626383805853, 985.2424649179394, 986.52511351290559, 987.60578422240098, 987.96683048049317, 989.04270756626522, 989.2038834327285, 989.77971580890141, 991.47346278200325, 991.84752087933555, 992.09672517173942, 992.33483299908437, 996.06343706130201, 997.10614828366909, 998.49328846046694, 998.86698081688041, 999.26165736290761, 999.48877316113419, 1004.3380581574309]),array([41.605943240894803, 42.641148139921583, 43.6660681778732, 49.547841176536863, 49.810457330944971, 51.02067358447178, 51.17002915485876, 51.663702167426223, 51.957188186963741, 52.664257792569842, 53.976144277640515, 54.449299662192999, 56.228866531583392, 56.253829173721527, 56.938340202116422, 58.311209215114438, 58.894888159243699, 59.420857775524816, 59.739318890831626, 61.918916226972051, 62.181248955298024, 62.910976549052016, 63.943195599521999, 66.02657663698696, 66.350363178145017, 67.115040140841444, 67.984552382833641, 68.393666638241896, 68.842234574941656, 70.373436105880018, 73.428002982677967, 75.572349980248646, 76.669337170818963, 76.779949185680579, 77.730271103889692, 78.846886573912229, 79.635054972359384, 80.085296429247165, 80.687330611753055, 81.495666586996506, 84.391652364328124, 84.649209676035895, 86.006472115056766, 87.876799025617402, 89.558040591475077, 89.744271908379915, 91.539922491482045, 91.617875119656972, 91.909934778827377, 92.511620074611415, 94.889277271801888, 95.406154129360687, 96.401335994121823, 98.125052793882048, 98.750529876338803, 101.32097684587991, 101.43161810772308, 102.58098952632555, 103.67894199457542, 104.45093885948503, 104.55224476682564, 105.24457363123513, 107.20844751060709, 107.70732454717729, 108.27703270890339, 108.82538025123854, 110.33108453518665, 110.50756892655083, 111.66818362058966, 114.0323951050751, 115.53584980139277, 118.02408581584972, 120.28234809361895, 121.8882700278877, 122.0219915698539, 122.56981660723366, 124.47025499482659, 128.04708086072137, 130.41478642673516, 131.00249643612435, 132.24703421790994, 133.22630489707493, 134.58097758022953, 135.00636257788659, 135.57555038612503, 136.56645994381049, 137.05586838522251, 137.95918708467926, 139.64392336013097, 139.89060807906506, 139.93523992634704, 141.7172011113781, 142.65629017997696, 144.73256739742661, 145.37869097053337, 145.47870882626896, 147.71265637815665, 148.22831616808497, 148.80653187892781, 150.1849731940984, 150.50304989289882, 150.95688049499526, 151.24928896924655, 151.94362170025576, 152.30525102075467, 152.85800721090851, 157.2166941129494, 157.50512895844759, 157.85665760098962, 158.26061673565837, 158.77900805754734, 160.16926096718242, 160.87577065532264, 161.52576781270889, 162.67005226689318, 162.85471923941813, 163.01684910871029, 163.92466358300868, 164.60443171236901, 167.24602779788822, 167.61675545517923, 168.20506214267263, 168.53485450294565, 169.33376912620352, 169.6172110955475, 170.33572174077372, 177.75742965425508, 178.44375756078242, 180.73914154200898, 180.94854777749322, 181.07959664919767, 181.22848968315219, 181.45975025287461, 182.02429982472958, 182.41481465650318, 183.49582866315689, 183.66312454447845, 184.18470846024982, 184.4688225595587, 185.11249477147541, 186.62651516074436, 187.21416751162235, 189.3710125558303, 190.24646400917896, 191.44568115931875, 192.54783989114088, 195.61101634644399, 197.2218767275865, 198.05713976274379, 199.67694084587097, 200.14242633786785, 201.15029045135546, 202.5949294136735, 204.72467862030925, 204.98323540964941, 205.25574934292175, 205.66131511623274, 206.18760757253338, 207.56392555485411, 208.76224575605133, 209.14000290979823, 210.08539351323154, 211.35958490124693, 212.22536858451241, 213.44460962005797, 213.58676099131822, 213.69648374252793, 213.82798999475588, 214.63978650296005, 215.7170622859183, 216.46874362216423, 217.7022446723212, 219.951870128401, 221.96707993660414, 222.71945455643828, 226.64781627151527, 228.95792298290172, 230.43532857934019, 230.87766719935237, 232.34559153683927, 233.20216515757164, 239.00541979411423, 239.06066566448314, 241.52502208835898, 243.9667413253899, 244.48274355661115, 245.86894786762559, 246.45599466043143, 247.18552627074766, 247.41294805473072, 247.84181998594889, 252.33699583496642, 253.08746543215429, 253.7486835092935, 256.3432317460543, 256.38406497908562, 256.49577808755816, 257.29585272863528, 257.92061463208705, 258.44497085778789, 258.69372887040993, 258.73762953897631, 259.44408374827685, 259.57781722567159, 261.25201202464564, 261.90138598013147, 263.8382492574778, 264.19441733725046, 264.67607431508605, 266.58104547209444, 268.51132484783409, 268.72626758608277, 270.102334344383, 270.79948365507153, 274.35705615462456, 276.25200195622381, 276.64182866589795, 279.23078450069568, 279.90850821652441, 280.90491355060902, 282.22208232366165, 284.02261051817447, 284.99280408455991, 286.37630968299112, 289.71251608888423, 291.47410172199199, 294.57977415505661, 294.99106407133115, 296.08300248106514, 296.29727464039297, 296.68221361094936, 297.35580673519991, 297.92918502171926, 299.31814769329679, 300.46151970182456, 301.68975374403448, 301.99506545295094, 302.61722267709467, 304.78204940715818, 305.16863194224214, 305.19760535199265, 306.40253636677312, 306.58901271744526, 306.95858964020493, 308.7362876352754, 308.93401805881825, 309.47891351525311, 311.78417075742499, 312.36437360598336, 312.71906042750925, 313.94662228512186, 315.06448994492871, 315.42478025130583, 315.61386071049543, 316.94383235703788, 317.5149914524149, 317.98155432553068, 319.11161369272725, 320.03923405741864, 321.5043632363446, 322.0519235596841, 322.18105013964703, 322.54425884077904, 323.37949656961052, 324.7971850278808, 324.96826000089709, 325.60543981870137, 326.43723463193993, 326.59032352078043, 326.8597901939354, 327.92287133323123, 328.84781484397195, 328.96351754646673, 330.20654712501863, 330.28135402798017, 330.47383212633838, 330.96222049333733, 331.54088118308186, 335.53845182772329, 335.64982029586798, 336.84418411258969, 338.10438515370629, 340.38288780318584, 342.83659318997331, 343.71109639718355, 345.29921895011034, 345.48044545233739, 345.59992274845018, 345.8840229319872, 346.61379295718439, 348.53588407351793, 349.20091037208749, 350.93316770974303, 352.3803137562457, 353.5086819709656, 353.58533395246855, 354.12268329196502, 354.15676592970789, 354.58116332359197, 358.65001792482093, 359.14603301140585, 359.70771974936491, 360.17079286014234, 361.21492148288127, 361.41216082598112, 361.61628842239702, 362.46018728080253, 362.97606964302088, 364.4698185106194, 364.52528698354172, 364.72319426878659, 364.93618858845429, 365.94733596966597, 367.23888081124528, 368.2604061029881, 368.61709540677344, 369.46306960590152, 369.58214724461538, 370.51820444453364, 371.03354174160455, 371.62382699195422, 371.67691213047436, 372.69186399302356, 373.27924135985666, 374.81407376927348, 375.66196212168256, 376.30805688128521, 376.60488101666533, 378.55956030978132, 382.30381378029091, 382.53398257561702, 382.8988569902188, 384.90144250422907, 386.08017468112007, 386.19387250550722, 386.96732547579302, 387.52149409430547, 391.16121567070644, 391.69249406539643, 391.77412163393143, 392.10050097520713, 392.38323186074717, 393.05480854388594, 393.20426480594813, 394.3407374381519, 396.50161000565475, 397.81763343695008, 399.10633183299615, 399.18793534931285, 400.12610699488397, 401.14656055440622, 401.66143038564223, 402.34660397371636, 403.1415599282268, 403.99596505739959, 404.98843716373568, 405.44181448840209, 406.63394575632481, 406.73669407907346, 406.90222555415949, 407.7574894678649, 408.17910880382078, 411.27729505399384, 411.6773869365669, 412.72844109395027, 413.16935278415002, 413.89265006838417, 414.38330107437662, 414.93227031598963, 415.11800158420101, 415.1517647945393, 417.05401033340826, 417.40687780774294, 418.72348092149991, 418.75927272228444, 419.47745543803734, 419.66527323351954, 421.26412614092425, 422.11835298773423, 422.45769264341089, 422.57846506880873, 422.69804894409594, 423.18908915652457, 423.31514569937946, 423.57371151372917, 425.08248690661702, 425.30879561468703, 426.58239847046104, 427.46170214046469, 428.28855965712472, 428.92111871105521, 429.19196763728388, 430.109060700626, 431.18276522794139, 431.46847895033392, 432.29898254631451, 432.73380643473894, 433.3083684515089, 433.90230648721615, 434.20860251081029, 434.94233942915031, 435.73533199448127, 436.39404657583486, 441.30861390445483, 442.24161587219476, 443.59292061908394, 443.76059843418687, 444.45601574483499, 445.8829143366479, 447.37695731437464, 448.77905199092805, 452.18539367645639, 452.22361980163333, 454.61180984247795, 455.04670288338377, 455.1761538969958, 455.40416505721942, 455.51881683143074, 456.34917077747679, 456.38564241584891, 459.50855274083005, 459.99771951515015, 461.31778252437709, 461.39464693415221, 461.60563653392995, 461.82308602983096, 462.25120353007344, 463.44428260386906, 464.65723662560794, 464.84234488893946, 467.182756132836, 467.23168481014221, 467.7464486272263, 471.46435236613615, 471.55843135109535, 471.75527991906517, 472.08143740070687, 472.17213077466715, 474.7595268467395, 474.99860228406385, 475.25867909360824, 475.87447537953682, 481.86967962410336, 483.37906432200816, 484.12274292364805, 484.30003740122339, 485.01488813781043, 485.25053892421818, 485.53262701606974, 485.80762685870934, 486.729205329862, 488.73878106410666, 489.73132245046907, 491.42011521622095, 495.2772246808351, 496.06579719030248, 496.39364960640734, 497.80597268410753, 498.20952230993078, 500.23707633939091, 503.21548598203191, 503.59975105767074, 503.91513378823493, 504.4426598398411, 505.23163766240521, 506.09992184220334, 506.43063768735277, 506.73780939899848, 506.97248248795614, 508.44812441386762, 508.74804069273966, 509.08904372734611, 509.788708671373, 511.62162984242758, 512.83001239046337, 513.09630779467113, 514.89353725434739, 516.81020012741124, 518.0037986329155, 518.98586830650606, 521.55656503658531, 523.62661518747507, 525.32596815603335, 525.39050381563777, 526.48724355021204, 529.68318386750423, 530.41627659949222, 530.56125879870558, 530.611691199196, 530.73686552424397, 531.0194541865128, 531.3186123643103, 535.91560737138241, 536.02298137816308, 536.16284821886609, 536.54314750874039, 539.9735800344572, 540.68576478199861, 540.8797463222744, 541.24546058148326, 541.96352940244958, 543.82040829941843, 544.13653657288319, 545.01994372819036, 545.1714438493425, 545.22955720848915, 545.59660573235874, 546.3281801173074, 547.22313874619874, 547.42103876912529, 548.20811540036379, 549.7870406256452, 550.69885867147968, 552.02654873751328, 552.89597722000974, 554.28512743825104, 554.3616868363888, 555.18765948954672, 556.07682365860398, 563.56720539833896, 564.236350075004, 564.39190448759268, 564.68921121460937, 564.86767431081375, 565.48826744469045, 565.79622609052183, 567.58712402210847, 568.43375746406832, 570.18139952178046, 570.85791756366098, 571.27452189303676, 571.33389350745449, 574.60908986411437, 575.07592321008451, 575.62907793303054, 578.35705608863873, 578.38995218856746, 579.31261996938042, 579.70079532663249, 580.91009998619302, 583.34162493963947, 583.46184469025513, 584.76726515390669, 585.12036103585751, 585.17431497940152, 585.83474515273463, 586.60844346965644, 586.87171607298637, 586.99734897399151, 587.39141875886253, 588.41244842558615, 589.94374103243251, 590.61665285394361, 593.32201254337474, 594.81326478767176, 596.68806274428255, 599.59137334758395, 600.55438460902849, 601.9842646848017, 602.35636658308931, 603.77578606697909, 606.70533330769479, 609.15103498062808, 611.84877041794812, 612.04587956084117, 613.19133985401322, 613.44633590298997, 613.48034221457078, 613.80250270083241, 613.90637967777252, 615.93297087639951, 616.0745848320073, 617.3440069924593, 618.87385688627944, 619.91847836991678, 622.18198074897805, 623.3365366013885, 623.67055182975514, 625.04757853396404, 625.48190032196101, 625.63018931648026, 626.08507305143235, 626.29306428917664, 629.17322252153076, 630.13009287407601, 631.65099033874685, 631.82659104873028, 632.88257070079487, 633.40192690755134, 634.51984416880487, 635.33759256052895, 638.4798956934203, 639.41254719662004, 639.45517783788557, 641.02934929987919, 641.2009562302211, 641.38802401826104, 641.90063760596865, 644.4574386692866, 644.52070609177838, 646.40346008796769, 646.45277877070043, 648.04607355522887, 651.00921406687735, 651.06398613632336, 652.46155785232486, 657.33674099733719, 657.50033179559716, 658.28579570298177, 659.16019134198507, 661.21945848334553, 662.40884947637483, 663.56936597473657, 663.82809231051215, 664.02974173229006, 664.3152449714762, 664.70790893155504, 667.18065147153141, 668.584597677744, 669.78128372210256, 670.71769542561753, 671.06610152361202, 671.33582486376565, 671.82208694444512, 673.97078792986804, 674.37341851909605, 674.81287858980886, 674.94410411665751, 675.07455781838041, 676.12540651826748, 677.78139399988754, 679.44099248259602, 679.62818606831422, 680.04839781010639, 680.81972043592532, 681.22686715826535, 681.67412255152067, 683.67462512756481, 683.93124602494493, 685.58639797166859, 685.96161821483224, 685.9949302012916, 686.97520622707589, 687.58989276997568, 690.10023198466331, 692.05355271560029, 694.52103213782766, 695.15141963290239, 695.608597520339, 696.03582212579772, 697.49284570212149, 698.26538537239833, 698.92862362487881, 699.95578019881043, 701.03882039080997, 701.49381064540034, 701.89173710381044, 702.5598856934696, 703.38821371220581, 704.78478668046682, 705.0510321424382, 706.02706784428801, 709.11920633371903, 709.40507803641992, 711.26274152425538, 711.5919982759649, 712.86218451009381, 713.15730642308768, 713.9596407065917, 714.1584745981279, 715.54493859121192, 715.99546628845474, 721.72196248172952, 722.791248025703, 724.41079969442512, 726.31607743453242, 727.28528509445971, 727.42798451773399, 727.61718968752348, 728.20417311494725, 728.6025142413497, 732.02587932592417, 732.33094512946968, 734.10963210107911, 734.46730108534314, 735.91187259409332, 736.48462054877132, 736.6323548264071, 736.93636821625603, 740.08056370513373, 741.3948998236466, 743.31171826158936, 745.204154915054, 746.22034227114239, 746.91437285180029, 747.68930317398076, 748.28844100639469, 753.55288829170593, 753.93122473229971, 755.69381448169793, 755.88567786324438, 760.35875137715027, 761.22832271642358, 761.51518156488112, 762.72717392633274, 763.14284161148794, 763.60007891091459, 765.17817198342163, 765.44999411572019, 765.57915747820834, 765.63114318602834, 766.27873620446474, 766.72272981307742, 768.77366787268977, 770.2439417369776, 773.92341300594478, 777.57611956901542, 779.10979857817722, 779.54834310285491, 786.2349061816326, 786.26804065087651, 786.96909396121532, 787.65529186411698, 787.95230992036795, 788.82784592872144, 789.30492548174198, 789.95666315298081, 790.16290907540304, 791.35918719111248, 791.41722909562486, 792.08973637562747, 793.46753801763805, 794.00834168602159, 794.24918427311866, 794.30719474251191, 796.32611284847769, 796.36539587625896, 800.86975181951289, 800.90615126216892, 801.1005778648555, 807.04007890210357, 808.98398857230313, 809.26265374014133, 809.61821554944459, 809.83905571938305, 810.78924450880299, 811.24886272420088, 812.44838031380777, 813.77041668159154, 813.90169777240567, 814.04695751323391, 814.64204423084539, 816.77586624628316, 816.84125014349252, 818.61933284079441, 818.81664093986353, 819.0246530265058, 819.67462342963256, 819.87872056804804, 821.9681164375844, 822.74639210452654, 823.26212603999841, 823.96202811391311, 824.062704648166, 824.76734558056319, 828.02701600527962, 830.87270143044873, 831.23929195077324, 831.65072781119306, 832.28447909992053, 832.39534090440554, 832.8024668985488, 833.11107277859469, 833.63063031498905, 835.14903074983363, 836.77386005173366, 837.87337700818603, 838.30004344450174, 839.21698177718463, 839.25335995336582, 840.0148378507422, 840.38929528656979, 840.46277028779275, 843.17252519010617, 843.6117487598749, 844.65713607404211, 845.35531597232625, 846.71316709792461, 847.14964627930408, 848.71964016498043, 848.96543143678446, 849.39630230324906, 849.7942384117556, 852.69047660461399, 853.12117209783025, 853.5957869116005, 858.37128212303628, 858.45900174748658, 858.91111615431566, 859.66583847063123, 860.21335397490134, 860.38696793057261, 861.65907545953223, 863.91920015717676, 866.59660148131366, 866.95049068140463, 867.65199135903197, 867.87760149488258, 869.4990983890774, 869.98591604195292, 870.05898370699913, 870.13908976714799, 870.44070263689366, 870.63894814069363, 872.96471613272183, 874.09884744739782, 875.25296409764132, 876.21027221912902, 876.84886198121455, 877.76608819220917, 878.95818080631841, 879.27139041861244, 879.73664913955895, 881.4441889881607, 882.40142435504765, 882.7170879603749, 883.50349997113904, 883.9853016659647, 884.07408659976579, 884.84510180360905, 885.88253437163326, 888.4545223900717, 888.94093428226711, 889.23060756100051, 890.71465318312119, 891.06810088344105, 892.00006709277841, 892.85582423334051, 893.10071306244208, 893.2822682572853, 893.85088372612449, 894.51094813732698, 896.67664686131889, 899.18006196566807, 900.88783072937065, 904.67837333183911, 905.17198351796333, 905.56881120624826, 907.02243214775399, 907.45946197840112, 908.42484272478555, 908.74823123731846, 909.04236862588459, 911.09805379101294, 912.09709922164768, 912.23948573963685, 914.22684521894837, 916.94190691646543, 917.09623431459818, 917.97519172866657, 920.01248890303759, 920.89550765026968, 920.91836487743512, 921.34094683484375, 922.68778571597466, 922.93143893813044, 923.52254771905541, 923.55845428197995, 924.85974388365651, 925.59259561106865, 925.92697543440579, 926.18369553679202, 926.51027503817284, 926.98471205364626, 928.48069516847704, 929.99334683995608, 932.39296045635183, 935.42093799730515, 935.61410398546991, 937.95661037192292, 939.7058823455061, 939.93350562216835, 940.00857279179183, 940.03963728250392, 940.85318648861755, 941.30728001450223, 941.77337709795358, 942.73208894381162, 947.00440088852122, 947.29453227572424, 947.42187294004577, 947.7381076693589, 948.17164944967578, 950.33223347716967, 950.711509248879, 951.13524293295484, 951.72659040625706, 952.00045153020892, 953.72765389071401, 955.76993301231437, 957.14511490290863, 957.71917887441452, 962.07681243947479, 962.61513234744541, 962.75772106606655, 963.09977052823558, 963.74603088569256, 964.89058215482123, 965.18830905393565, 966.64008067656994, 968.0932039744331, 970.90805681597999, 971.51556023845819, 972.3127121909738, 972.58331423498248, 973.58793223275723, 977.18846301018141, 977.32686419846027, 977.35370856981342, 978.64792598495694, 978.68388244615289, 978.85880113482983, 979.30141722672374, 979.35102337975707, 979.63242787693241, 980.84758484905808, 981.59764932203655, 981.74050463576077, 983.09690076739719, 983.27548608772827, 983.34970985581867, 984.1122596666911, 984.72538026548398, 985.49597822237899, 986.21968208835813, 987.61941044187006, 989.09390156422944, 989.49646540834192, 991.20676269968635, 992.2624255689899, 992.41098799079271, 992.72171879009841, 994.25348807801595, 994.85742539541559, 995.23177851265621, 995.37519232499596, 995.57172394621307, 995.69343712550665, 997.32791258120756, 999.28193513099279, 999.37635499116482, 1001.3473444604938]),array([47.621349223901014, 47.743671810565509, 48.139792077992766, 48.418524248707307, 48.696926279340595, 51.45456040975624, 51.788367096973758, 53.452792609260293, 54.066074703441586, 54.107856276598064, 54.154077509833648, 55.071567146429935, 55.614925838052507, 58.907986482812021, 59.575297306181923, 60.334116728816554, 60.628141979178899, 61.863235952304358, 62.402741374905602, 67.734626616911115, 69.81959999799092, 71.447286976504145, 72.04232497726656, 72.423047868586394, 72.749024782081705, 72.815191153672245, 74.69267163030942, 75.155884551419234, 75.290404058555779, 78.462018493147724, 79.123756649140674, 79.41560405726257, 80.20246435756421, 81.032847755316965, 81.075069735038269, 82.54038399481378, 83.123003798207947, 83.285528058394931, 83.712604948143834, 85.470729028509581, 87.060849182492632, 87.095432348784087, 87.141718924683943, 88.132085596846366, 90.885396310050226, 91.419975466972872, 91.776349012124669, 91.895051685164191, 93.755702197476012, 98.079263969956131, 98.474954304859921, 99.157903924182946, 100.67395009069681, 100.70149099151683, 102.10703474563164, 102.87822088782363, 103.55637949783073, 103.70475563185084, 104.37752561776419, 106.16306185569735, 107.17638603954674, 108.88697705319785, 111.49296386076334, 112.82416000189056, 113.50027842998867, 114.11746068842629, 114.15103891507299, 114.35722895131477, 115.05234323205745, 116.09251766800091, 117.4872674885021, 118.80500717600243, 118.94010635251311, 122.25664240913927, 123.13382081882555, 123.47336591574238, 123.56774018042883, 124.19206480873851, 124.98705387993454, 125.22851414581726, 125.7274747810133, 127.56829856678313, 128.15331090317946, 128.18149625546198, 128.49171015250641, 128.87646420301422, 132.31120045158281, 133.00788544294042, 133.23545754995649, 133.70313871093231, 134.21147699899043, 136.84666128750513, 137.15795098751607, 137.73772302644545, 137.92318388870757, 139.37137918390729, 139.87865975517153, 140.09736514609608, 141.50883914742039, 143.79048887293715, 145.72470928522424, 146.39100966190568, 147.51564447316201, 148.07338811123236, 149.46380261119975, 149.50869733558463, 151.12706167956688, 152.21878585641318, 154.97010821677497, 156.12481312178758, 158.79483219145675, 158.97753011257745, 159.57793396267968, 160.31812300693829, 164.51069351240514, 166.43574604277987, 166.60674231776659, 167.18074555169875, 168.29332654896942, 168.67605567032604, 168.8866871819223, 170.61558448664911, 170.65854810334028, 172.10994387450776, 172.78733926721713, 174.77789083439708, 177.03181761243633, 180.33801071819389, 181.80482032988311, 182.12484332345312, 183.77073373842319, 183.89661754271873, 184.43439571414015, 185.29073132167903, 187.01075211076414, 189.46216846748376, 190.05978986932388, 190.5598754823047, 193.88177195362738, 197.50532437510199, 199.4124064155053, 200.17252209196241, 200.92977221550316, 201.03568797681254, 201.14857635117656, 201.18396659296749, 202.07775242362251, 202.31998727391166, 203.23467580519548, 206.67133782552335, 206.77949763430891, 207.90433055017201, 210.15971305280829, 210.18373733607652, 210.60565594766175, 210.91938947098893, 211.07650591395543, 211.40695945754138, 213.65580119051447, 215.14124996584897, 215.33339235757336, 215.55039207935812, 217.57593517739033, 218.15576203271954, 219.44632531003725, 219.57346113686617, 219.67742786518437, 221.71371782746579, 223.93891579923979, 224.24968355722979, 226.01076157610666, 226.39201251531858, 227.84301603292826, 228.11367152780093, 228.51263003719947, 229.13939737696759, 235.27351460438081, 236.14648698240021, 236.50429658146115, 237.02080446653071, 237.47134234024779, 237.95800328908953, 238.20111228462528, 239.15174467806153, 241.00548019653385, 242.30451716650347, 245.91746531323901, 247.49492421066589, 247.98603091701781, 248.99395198730133, 251.67704378973585, 251.79825317044242, 252.42865752658531, 255.56114903125129, 256.96219317219749, 257.23637431757965, 257.66214920175338, 258.33872224998134, 258.74776628357648, 260.92629577007733, 261.62740353445042, 262.76279250570764, 263.0010413885816, 264.28943522155504, 264.75176993996683, 264.82105263735184, 265.45202872060258, 266.25950372401104, 266.45398774528314, 267.36533512045816, 268.40464278349168, 268.5445516770011, 268.70269289509139, 270.94777389047698, 272.88596134290589, 273.27065049194874, 273.86688259969765, 274.78832332969415, 275.01691733524683, 275.49374974468452, 277.77308657261989, 277.99014817010544, 281.19448741951373, 281.45250610827367, 281.66076232060016, 282.90878428365488, 282.97077108434263, 284.06112296462629, 285.7177526624962, 289.5002977084722, 289.98086676709602, 291.70818069714392, 295.50874613041975, 298.08038554180644, 298.50075313274817, 299.25582381618744, 299.63729820985208, 299.94499120229193, 299.97000263911832, 302.82253563589643, 304.78549888933884, 305.02918424329374, 305.17486713566461, 306.3169957070437, 308.07322818373012, 308.12452288432655, 308.47886149531757, 309.00466602124766, 309.1592246526609, 309.35498561797277, 312.14814316265813, 312.62689676153292, 313.71152846259145, 314.0843549631706, 315.08604932787142, 315.19766584216211, 316.21570459738439, 317.22201631900788, 318.83922024613776, 318.95332495645448, 319.0948410221003, 320.60685140105744, 321.90958374435576, 324.73104934505511, 325.97027547577602, 328.17121190248275, 331.90987034363462, 332.32449610529613, 333.11783257177791, 333.83131780948247, 334.11431141020603, 336.9720828915315, 337.81007862769866, 337.90796453270605, 338.83030602412992, 339.26365600413715, 340.0426168737053, 341.25966286834949, 341.79996072837173, 343.21115982921913, 345.75450627761745, 347.12378157244081, 347.46155572075759, 347.78051832621816, 348.48517943642946, 350.24562742225135, 351.62996242955734, 351.82426872261311, 352.31170129447742, 352.81757273898262, 353.224181517722, 353.70726751846519, 354.1729716700379, 354.31242830216053, 354.60805942322918, 355.62633493824393, 355.86409173776343, 356.33179028396125, 358.85500366820628, 361.99584280390479, 364.54422617215454, 365.68314414302068, 368.22384177285818, 369.21358543309583, 371.56690367375194, 374.38209677399237, 375.40346481988468, 375.49976669775015, 375.87601493819824, 376.49507755739711, 378.19046296954713, 379.48079275593824, 379.69891724312004, 379.98010968931891, 380.22596808046791, 382.28565713232206, 382.85678278955743, 384.22255419017722, 385.37889329968505, 386.18282732324218, 386.74063755735574, 387.51284952125292, 388.47422063978922, 388.83537779245785, 392.13910861699344, 392.57360121851457, 393.19108392373892, 393.24837351414754, 393.36122806445997, 394.45755575006285, 395.96611209390221, 396.30772896532136, 396.70309508100462, 397.74803119072362, 397.82149547993635, 399.35353477184191, 399.94356426286055, 401.88031705643397, 402.02932602498493, 406.35114575546578, 406.75254029529918, 407.78469097519985, 409.1873419471932, 411.17393176486746, 411.8085173139043, 412.57620162451212, 416.97363697188547, 417.57796220648675, 418.15456662774272, 418.6214938578305, 418.81429190944903, 420.32709566513461, 422.56216445111323, 422.87528774107949, 423.40626594998974, 424.26020779817253, 426.90811109416074, 428.23735964669231, 428.26518184772272, 428.49802774586766, 429.19201725379014, 429.49315227925138, 429.7589605746997, 429.79420901478687, 431.02284051817014, 431.09416335958451, 431.52474306251111, 432.39170869990795, 432.86772598996743, 435.20582531459274, 436.2172786364132, 436.65709420335037, 437.45689233323708, 437.68208716709938, 437.86890540988315, 439.18663872765796, 439.39428635922667, 439.51097022331027, 439.76856465207811, 441.50476400884901, 443.10610032447732, 443.56822271555211, 446.60236650217155, 447.46798566935723, 448.6987652165526, 448.94187150011373, 449.0516785702946, 451.22420021321369, 452.03744242532247, 453.12149073636073, 453.59253320187628, 453.65540231984892, 454.3507630171016, 456.11252709486092, 456.17458976824514, 456.47479691006799, 456.55358955080953, 457.22802415531089, 457.76399951722175, 458.45858066030274, 459.3916008807534, 459.7927408393648, 460.47212174235653, 460.60444862210835, 462.09203020185959, 463.12698985726394, 463.9001448329484, 465.62213803131084, 467.57021441918209, 467.99478858071086, 469.98468714986222, 470.24100709240975, 472.28811760502396, 472.72682121659574, 473.33507404702732, 475.64727004603327, 476.78488020519438, 476.95130851121792, 477.00341350906604, 477.48786321337798, 480.37279131188825, 481.73579939684851, 481.79742297742126, 483.64763064242339, 483.86285989517802, 484.89691414973805, 488.368084421074, 489.58181335720326, 490.01265396442199, 490.65615215050548, 491.06002874438497, 493.84605986132129, 494.38331350048077, 494.78053323723981, 494.93949953667692, 495.03996404904058, 496.84677058306096, 497.46041069667342, 497.85277189791145, 500.17371743541605, 500.36208093221262, 500.52590265523139, 506.44949661829213, 508.54578284244485, 508.6627905267228, 510.64905264382935, 514.45639791531016, 517.56860616088898, 517.82471525625533, 521.08611002486555, 521.92258251700139, 523.14347746462158, 523.71153299447667, 524.23463586641776, 524.72289942107227, 524.93947398304306, 527.03667688988151, 528.09362839324501, 528.71839897163761, 530.19956636755865, 530.77518683738072, 531.11252354692226, 531.29980286039336, 532.0747187713614, 533.57339228872831, 533.85199320351819, 533.88852840774473, 534.60994842692708, 534.92748575452845, 535.66305920650791, 535.83028186630486, 537.47338212366799, 537.57332805463818, 540.65123139550121, 541.41216078347634, 543.05696441325779, 543.29868369312214, 543.37017099053446, 543.52418268397571, 544.73391014252695, 544.92522954470348, 545.05527043059942, 546.79549068877645, 547.05033315234891, 548.00691029339816, 549.32395477456305, 549.98688065515012, 551.38274239198245, 552.97276000654358, 553.34667302711136, 553.72036612458521, 554.24497151865512, 555.17370499263359, 555.98278968165221, 556.08008916400138, 556.90097378085909, 558.00382635607241, 558.65103810888706, 558.68210815222881, 561.14367490402674, 562.80117729626727, 564.07200615406225, 564.59666277837403, 565.61028714398469, 567.21820303755942, 567.68443363513916, 569.32525112888482, 571.60926368361947, 572.76376408020064, 576.44432411229127, 577.06613972799846, 578.29031868220841, 578.82062016301802, 579.14788557576514, 579.43665408542438, 580.41035607796596, 580.49502782421087, 580.6315310351622, 584.21923865151541, 584.6424859908019, 585.1092239539264, 586.69570429442092, 587.1041837664809, 589.6541844960027, 591.19654953739791, 592.18279815264987, 593.07299139895599, 593.51816796116555, 594.81551295034069, 595.53522629728127, 596.3985223540451, 597.28923611367588, 598.44601446524439, 599.68297403741167, 600.04835984443844, 600.362804802857, 601.1163092830817, 601.25065000054747, 601.45982554957368, 601.54346442543101, 602.51179458804427, 603.41948172901778, 603.9470721125731, 603.99451257983026, 606.07885804209661, 610.38029189818008, 611.62501978103751, 612.0074757922248, 613.78308016285712, 614.90929173920802, 616.4026558231925, 617.07319852071601, 617.14345798169904, 619.22683114658139, 619.77296671786678, 621.63073134879335, 622.04136953804425, 622.45222448074981, 622.49225283772387, 622.54092959148227, 622.95327499830034, 624.43711673630673, 624.51293945649536, 624.71101073158752, 625.12835873453423, 625.86575610253942, 626.21592371366899, 626.82140729347145, 626.8984250271476, 627.14350848251377, 627.28878245702037, 627.361726950503, 629.0893393519674, 630.04997040324054, 632.47703250637414, 634.1675915494219, 638.39677026834511, 638.7899332224024, 639.06798433372546, 640.35892872349791, 640.68241405612685, 642.23929383016616, 642.31367802436068, 643.71102191011391, 643.95785927764348, 644.13341324841463, 644.79779926704668, 645.3524398727468, 645.39726998316087, 651.38642381408988, 651.62671645701334, 653.01747606841786, 654.39213602259679, 655.62333187818194, 656.25314069316391, 657.36637620868714, 657.469353407933, 657.97752791817641, 659.56640181651858, 660.67613553101603, 662.5171279085946, 666.40156697799489, 667.34076838313024, 668.57614100200192, 668.75005794519939, 669.05150496780823, 669.37288074889943, 669.532052560789, 671.21108523862677, 672.63591084146219, 672.7173154711877, 673.96681988744729, 674.26159235844568, 676.06142908192294, 677.40905067537074, 678.57651950003753, 678.94849321392303, 679.79750117325466, 679.93598133634896, 680.42305021899085, 680.49057162679878, 682.40288042479574, 683.47538885521305, 683.51493312308287, 683.81403855954147, 684.01348863072121, 684.66873960207261, 685.81617482820934, 687.38004229810031, 688.62606904916663, 688.91383325263496, 689.37755960637537, 692.48838459893227, 693.14084825240263, 694.36657225423016, 696.04695180377712, 696.26381069103377, 696.43900245941506, 697.31278273207874, 697.55913613783991, 698.59731615131398, 699.32474181488305, 699.91751766000152, 699.9870398959057, 701.94882910230274, 702.61181402706291, 704.12933417389604, 704.9957827729304, 707.11528040038502, 708.46353343507121, 709.09058925592046, 710.10640905130913, 710.53252892389673, 712.47472847144979, 712.77533277900818, 712.83584811350784, 713.33252785908701, 713.96395987077915, 714.92493824539747, 715.6745901465647, 715.95425234852587, 717.39197357418323, 718.06109307495728, 718.51146876157759, 720.36993636867305, 721.12797583399401, 721.76145861265331, 724.63551034781403, 726.13294259642021, 726.67196323335315, 728.13391132261654, 728.77599209323682, 729.14806277599303, 729.49157506155836, 729.52056586776689, 732.69701171374629, 733.87593323596604, 734.70746808425815, 735.62249024273353, 736.02756228990904, 737.18314461967145, 737.32583021233893, 739.85401892199911, 741.48661999490719, 742.22936426930892, 742.33522118320707, 743.11266430662602, 743.58936874474205, 743.80514511787317, 744.09785573020463, 745.6206511056339, 746.3744563901347, 747.29480730946216, 747.84652551230863, 748.34603158648076, 748.56254106212327, 748.91146053999216, 748.99703421352524, 749.33992019348364, 750.05212406025851, 750.36144147671303, 752.13048664809548, 753.18646385480463, 755.22463442921514, 759.52467707599919, 760.20675801680511, 760.54819087671558, 761.15454822131437, 761.68912171173781, 762.49016550815531, 762.793827775929, 763.16853654533702, 765.23683116293364, 767.74698001978993, 768.23401191583343, 769.59625432887219, 769.73509605094785, 770.66805316027478, 771.42248160708164, 771.64936279137703, 772.5286104040789, 772.92369404876956, 773.88867194661225, 774.55606079697861, 775.31595622304576, 775.64455129049998, 775.68801276831869, 776.98222781357083, 777.05375465298482, 779.05494774070303, 780.05088261548599, 781.83919283064279, 781.92160325138082, 782.89495098589157, 783.90056364388988, 784.27607147894867, 784.84579732802069, 785.12374851210188, 786.55825103107463, 787.02904355254009, 789.70257672818434, 790.4557228135842, 791.66652270512816, 792.75481254869806, 794.56497039771239, 794.87813125225694, 795.82545858570415, 796.32101705311084, 796.43236861599019, 799.497456389018, 803.94915762973449, 805.23504127444619, 805.87852118538149, 806.69356106770147, 806.83684748340647, 807.055769962363, 810.4192838002308, 812.81061155773716, 813.40814668748067, 815.14713576132499, 815.18513151955153, 815.70318379624473, 817.76992503214103, 818.42643055395456, 818.74285654608286, 819.42837688557097, 819.61008512687545, 819.70670690555039, 821.16709796417092, 822.66222782160924, 826.90434239997819, 828.27074780504336, 828.49124266068043, 828.54138018764377, 829.01006934064151, 829.19170765061233, 830.12533789569159, 830.16204134466386, 830.82285872540422, 831.44466603704052, 832.11829545612409, 832.17015648671986, 832.4288298100804, 834.87027423652228, 841.4702527205701, 841.70185899136163, 844.43048649471689, 845.70018108543672, 846.13470398066818, 848.03858455929287, 848.10177137484516, 848.14634617777187, 850.06347844655375, 850.14487560424982, 850.90664832859807, 851.57588075215619, 854.74271907267109, 857.31058295320929, 858.25468157581372, 858.62882148489632, 858.75772735853172, 859.59667367626321, 861.31218399517923, 863.91841116875469, 864.41070517334492, 864.80084331168348, 866.89356374012027, 866.94751957965673, 866.98644749922903, 869.98427037968827, 871.1312330669117, 871.74328768332703, 873.62993195268018, 875.87755931433651, 876.00371912255071, 877.09413859372012, 877.83219713588971, 878.21965351283689, 879.01207010450742, 879.38718127563254, 879.70921526493305, 881.43977567494471, 882.82986523814043, 884.75676400257998, 885.2337238533745, 886.12823918854588, 886.95327404092961, 886.98603467235114, 887.06697328551752, 887.13958565632686, 887.98411813385553, 888.5318111021702, 889.93766333596409, 890.04787540965344, 891.49931655646708, 893.35674107590501, 895.54694424050354, 897.50337618016329, 897.69571181880724, 898.82957536697245, 900.41557618850015, 900.48315373178843, 902.36892186940247, 904.78517888559486, 908.68088521902177, 908.86674661737868, 909.60903261792134, 909.8875523323934, 910.08654606179027, 910.17644487107646, 910.28508456155703, 914.2862219420615, 914.72551621550542, 916.4075829000227, 916.73525929701475, 918.32586623298118, 920.17034517180161, 920.57486432143548, 921.12243914689191, 921.75101689251005, 922.61956866962862, 922.9328444830104, 924.24406680000834, 925.01316675069597, 925.04702665807508, 926.41947405541941, 927.79338735574675, 930.89259519101677, 933.94022905934537, 935.33591358764443, 935.65186317132691, 937.43699669381681, 938.0313552875607, 938.33746261416104, 938.58518002338167, 938.8125718345575, 939.31772221741244, 940.23916510388847, 940.50390670640593, 940.86086590267746, 941.06912424048551, 941.60735529222052, 945.46646833446039, 945.55971788024647, 945.60157955486807, 945.7484713477304, 949.14463766254255, 949.73276030444504, 949.86499488760535, 952.9899602785307, 955.25070613195987, 955.47253584537248, 955.6501572720623, 955.9034558080964, 956.40207817565908, 956.72920497147436, 960.98557125883099, 961.16240457701974, 961.18272829341242, 962.20060180663143, 962.53723886488808, 963.65081112075575, 964.63514924217884, 964.95415379724477, 965.04284871778998, 967.02875552793, 967.29516602228625, 967.88326884013031, 968.07670715333097, 969.08186528353338, 969.21805514637504, 969.96122793088944, 970.21601513521728, 971.60115140420339, 972.9699608916826, 973.17328061532146, 975.9436444583655, 976.00168303633882, 978.79350101362695, 980.85316653370865, 981.19897394618499, 982.24200312641847, 982.90302807037813, 983.31979169176509, 984.87294470409165, 985.94933593911071, 987.23110219814509, 988.04843020980127, 988.62434270030894, 989.92986669216111, 990.83933338258714, 991.0456004970315, 994.65407048835766, 995.35144359218111, 995.55551466051872, 995.81717927699935, 996.88182181473076, 997.28446408723244, 997.58459699076298, 997.67540340501182, 998.32230383098477, 999.57635344358096, 1001.1471609560978]),array([33.259042228831802, 33.678935158494617, 34.133784030021083, 34.182410200148468, 34.47329218019064, 34.50522891740183, 35.230534561542797, 35.29009588689177, 37.056409139635825, 38.101738806172229, 38.606234875885939, 39.03776758271654, 39.544215331321887, 39.628630267085391, 40.708205085230638, 41.559548179279204, 42.351118477284437, 43.388195288338409, 43.568513937172845, 44.991064015675079, 46.782674959474548, 46.879097049294543, 47.210318290152834, 49.242138042177096, 53.03878886868651, 54.613309806897426, 55.006346293655419, 55.171971736553616, 55.615292710153369, 56.193468616724061, 57.739230612560661, 58.325441179129271, 59.390214790703638, 59.470519099776638, 59.583620479863256, 63.775577781611631, 65.613144426278154, 67.12238041101817, 70.693754887170286, 71.062262299687788, 73.774659643269217, 74.963505118485713, 75.418563475587135, 75.442261231676696, 76.588329779135847, 76.665260063271177, 77.351938956657435, 77.816210627333419, 79.427994060793907, 80.075007695021839, 80.488997987810976, 80.671704905417926, 81.80164707147425, 81.997175883337306, 84.105897806281945, 88.723554029821187, 88.771071667520289, 89.937593425795555, 90.413882974011301, 91.760378288351788, 91.918369418514246, 92.151247591135458, 92.545849944618851, 93.30475284562597, 94.796277797974881, 95.069239178026265, 95.565547672834882, 96.613809312600779, 98.192737236557335, 100.13249171244337, 100.90531288098465, 102.0399042220488, 102.37976786201152, 103.95461541897832, 104.24430408347342, 104.33800485697896, 104.67199955295054, 104.84172821153579, 106.98879473644884, 107.67257605340284, 108.2889917571855, 108.94735271712467, 109.38822653318768, 109.78870560606551, 110.0638390327421, 111.655507278454, 112.96539476953906, 113.07576673441143, 113.48532939851427, 114.21791090382689, 116.97420651563101, 117.46084418784216, 117.48986324954475, 118.40049997148751, 119.56928499501063, 122.15910286806596, 122.64000621935345, 123.46772579081312, 124.98239314891406, 127.37693026501366, 129.25925746352056, 130.52029465033212, 130.88250633831669, 131.74742320602022, 132.77704564991836, 133.09288882252653, 133.31933390505696, 133.66436110373874, 136.02091290171464, 136.7878185885227, 137.09927261573591, 137.74567044157652, 137.78779539401717, 138.41529150506139, 138.82859578832586, 139.29078262986482, 141.11283922654195, 142.44330999024243, 143.21060880828426, 143.94191004982667, 144.13204890724253, 145.0476626013554, 145.96793355441221, 146.91903754944212, 148.52877720717746, 151.09554482928843, 151.27076313809718, 153.64389587554112, 155.44393634093842, 155.53226741503946, 157.09590943463851, 157.47783696174304, 163.62955422629071, 163.76770091574934, 164.47010165046171, 165.10721872630197, 166.72777739999208, 168.0171812546966, 168.90931685800786, 170.63535750774315, 170.7425563310081, 171.02670696232011, 171.22967765062333, 171.43155485335646, 172.62777633176248, 172.91931446049637, 174.46412637599781, 177.32555326168045, 178.06809335642592, 178.59708459237694, 180.91813918416727, 181.59156597976352, 181.74887516466964, 183.8641353651908, 183.98791797774956, 185.64960677931424, 187.5356885012574, 187.58865952953263, 188.33261056392442, 188.75105693761245, 189.16566898543388, 189.69165802039035, 189.7133323137505, 194.38213217261162, 197.42836090905462, 199.89343955012703, 200.98135908184989, 201.44815040683415, 202.15738072211414, 204.4522376317222, 204.99435382357242, 205.25648090225664, 208.07536077583106, 208.77032475174698, 209.66433684574892, 210.58843973598781, 211.64710164902792, 212.47096244219924, 213.94629751446703, 214.09568111646695, 217.51981616614603, 218.05624379536167, 218.15584609392994, 218.47949937528969, 219.25528194193231, 219.57784043232803, 222.46883256553056, 226.2747051122607, 226.34343043476207, 226.45482638440984, 227.59847077503403, 227.7683119220828, 227.95507922962958, 228.40313921807183, 232.23507669527575, 233.9931381894898, 235.03087190470907, 235.98374342380444, 236.09165051189436, 237.33523347740143, 237.70332767173031, 238.73222320244227, 239.8192440263995, 240.68878581325265, 242.41658226596093, 244.38808209408856, 245.44510463776908, 247.30195465346728, 247.463359417096, 249.35459338067037, 250.85267539696272, 250.87466934929503, 251.34852526599417, 251.72219712770837, 252.47474928507992, 255.96560623474747, 256.64271386243939, 256.80187687134264, 257.27727979834589, 257.48632295968372, 258.46043521314556, 259.75513323296781, 260.29930803188876, 260.52446004524523, 261.1707244868287, 261.70473353029485, 261.74936570815146, 262.85494830877991, 263.45191119434946, 263.52340360573737, 264.27680828635806, 264.89369384888846, 265.14030249025103, 265.54254883317117, 266.49309578080914, 267.07703953827343, 267.2392453240285, 267.86409792318403, 268.23523148791111, 269.65626346692056, 274.47490084193407, 276.70587118778207, 279.57854224462608, 280.00813136043871, 281.03740768476229, 281.383894998637, 281.79489194298083, 282.78229876069179, 284.89054906000422, 286.0515918095972, 287.28604663566165, 289.2765199484972, 289.46312818549552, 289.70003522357632, 290.53695296087744, 292.89908246853554, 293.68255424618042, 294.13903658887972, 295.77170796505328, 296.29276712371944, 297.08946470392698, 297.44871190206453, 298.49799333752105, 298.9863393225213, 299.21718324306676, 299.94307235628526, 300.22493780499201, 300.26955286373311, 300.78918384651149, 301.02107660101706, 302.86842350004656, 303.76117449515402, 306.13224869834681, 307.41411969809394, 308.1752255933701, 308.24174784805774, 314.28233486909528, 318.09710189926011, 318.60681557617079, 320.18079640652707, 320.28379490801814, 323.00147437463301, 324.49249999231921, 325.7803384672963, 327.58003964600937, 328.06066191820986, 329.84275726175565, 333.59933235811127, 333.91086858037363, 334.0643127928347, 335.43965581221465, 337.06762453703232, 337.24386378651343, 338.15242798431387, 339.413689377629, 339.89973430443047, 342.81144281780098, 343.04463081654922, 343.82006953194269, 344.98946502306222, 345.41307671236012, 346.72448667326569, 346.95533638146685, 347.60402778411071, 348.791752805692, 349.05846878991065, 349.13802402011271, 352.65383923543232, 353.2896707198841, 356.04738324053324, 356.42671554209284, 356.45039503356611, 357.48608504691072, 359.59096943972088, 360.55262004188995, 361.94970017714155, 362.88101213217465, 362.94046706617337, 363.99488699437569, 364.10671847573911, 364.97021860953259, 366.68736763294936, 368.74747361553159, 369.07602695224676, 369.94929706211894, 370.97788544583955, 371.2652559926168, 371.32032259400097, 372.00080274352291, 372.75785007561052, 375.31222108250989, 376.32518664086257, 378.1622147196241, 378.49635770164247, 381.19712334075467, 381.34526453592639, 384.28465437434949, 385.87956389691175, 386.2390795197739, 386.51585379917287, 386.67535271332008, 387.01940018199952, 387.319634224899, 389.40267287539024, 390.41742857078293, 390.61858965759154, 391.39231549273433, 391.96066883168356, 394.04838765926178, 394.2399409525168, 396.18247972309979, 396.45809505186048, 396.67538200579583, 397.39769232297277, 397.64886205871204, 398.00997471994697, 398.82212928329369, 399.67267378311686, 402.09915104009605, 403.89474588148602, 404.71027935697799, 405.53479175209071, 405.70807377309836, 407.22255382430382, 408.97453123398759, 409.55455146847282, 411.85193535283145, 412.23721562252649, 412.27677699546183, 412.38029436812468, 414.38160824040085, 415.14028189066579, 416.8077208569386, 417.60432439700691, 419.26483842823592, 419.74314178921435, 422.42902105497814, 422.86923923136027, 422.9586609621287, 424.10938634186215, 424.33165179092617, 424.41650119471848, 424.8884575325132, 425.44295483947275, 428.03374803761545, 428.35094720202113, 429.41103847297217, 429.94054086260479, 431.81002476086445, 432.03536077007209, 432.54289730261138, 432.69252728255526, 432.98305558551743, 436.44418934683972, 438.1517731117977, 438.57882254331406, 440.48397206611185, 440.65262130809509, 441.1178795128514, 441.23421308088859, 441.3430966233762, 442.65110693839381, 444.94010658006346, 445.73144501465151, 445.96849452095603, 448.00255044772598, 449.55812257336538, 449.99580027338521, 450.48878664635686, 450.7895954923664, 452.99997154341116, 454.66842840814184, 454.72860781459872, 457.15290905679149, 459.9083662254539, 460.66980504395741, 462.47522650396064, 463.33720972378245, 463.5412143403106, 463.73847379636129, 464.56667319775789, 467.64039180752263, 468.75506560637734, 468.78744793026181, 470.2639371252169, 475.09092543316785, 475.65898259247876, 476.21829629580969, 478.78955443866937, 480.78682941287991, 481.10881230196441, 481.78553533859343, 482.54228681852902, 483.89145891917343, 485.33591506189055, 487.25358830757426, 489.35567598662419, 490.23636046994642, 496.51873288205911, 498.43901804813407, 500.65647571037647, 501.51688126625072, 502.63612905131475, 503.66126190658429, 503.80223377587907, 506.77506724715852, 507.83464387518524, 509.53419701241239, 509.68183966551254, 510.96715833494051, 514.47589576290522, 514.55863180682195, 515.59547425777544, 516.41637944908371, 517.54707103089891, 519.64269320401161, 525.23276436733477, 525.5263519580493, 526.09518006694327, 526.54835505201618, 526.71235875870434, 526.78741067628448, 529.5936678314938, 529.70520726428174, 530.89666528498242, 530.97314945011362, 533.85351466876909, 537.15004881456957, 537.45106857924247, 539.11349584536879, 540.40585691880267, 540.5978372371261, 540.97160419465808, 543.14655145506333, 543.89960214904795, 545.63154229502356, 546.92648460696591, 547.16728639532198, 548.23525008527531, 549.17054383417417, 549.39991228810823, 549.77373490983302, 549.91701286748696, 549.9589167659409, 550.15956282726256, 550.43343045897041, 550.58831308966842, 551.97846653067427, 552.72860106026599, 552.98620117128542, 553.33037192193251, 555.61331654430546, 555.64366609893648, 558.05227306414508, 558.22569488776787, 558.40275492029082, 558.88521848498442, 560.60837301005654, 561.40013736229878, 561.70268384527844, 562.42142042393903, 562.60062106005216, 562.77288198368569, 564.48110271732696, 564.62956718761791, 564.76462318320648, 565.94479459075114, 567.74720875871913, 568.49694458138708, 568.92900803431894, 569.21990289460143, 569.71486009332898, 572.4291117716499, 573.35421935374245, 573.65536070361759, 574.48202257444711, 579.18770965344129, 580.85427120229042, 582.77614664745875, 584.0052354202345, 585.49994035368979, 586.6544364186966, 586.68454914796143, 587.74708373349335, 587.92232155260717, 588.63194680474851, 588.90463114786667, 590.01107226715283, 591.0605348035881, 591.19116467493041, 591.35185323346025, 593.1756660095441, 597.92584856960332, 599.36306796724591, 599.77191827974627, 599.81237120754645, 600.41262665266061, 601.98277108649393, 603.69619287583805, 605.00018655518545, 605.05702122134664, 606.02361837938997, 607.7227448660027, 609.59037507903884, 609.78563788146448, 611.25362361819657, 611.98551749734611, 612.76973160246416, 613.78838342743438, 614.42493712809096, 614.83760061897544, 615.01267558466236, 615.36857053435506, 615.99778056411469, 616.12965151382116, 617.3288990926784, 618.24885513773268, 619.61557313906621, 620.00560951147315, 622.01267087453277, 622.30983291060488, 625.04198058617328, 625.42712122220144, 625.80750172313583, 626.66755913009206, 626.90117234961156, 626.94406453377667, 628.62833637287918, 629.45175086400616, 630.07939425962434, 630.16313404014545, 633.34318590978353, 633.77414637470929, 634.08705997267202, 635.15452152434068, 636.40567736935395, 636.87050269215604, 636.9936110673458, 637.48984407799844, 638.69946164933367, 642.29063853586626, 643.73457387435383, 645.94338302214669, 646.62684431033415, 647.74469428673888, 650.23320918409058, 650.30734746327278, 650.3729392068044, 653.58173559904765, 654.14226002852638, 654.64611945787885, 656.522637319821, 658.35047987733617, 658.7072340760493, 659.88017286499053, 660.0344407704506, 660.57671655626916, 664.53279941556173, 665.27450278693152, 665.62539638490307, 665.8487222452444, 669.05591804767732, 669.54094839538766, 669.94796711629078, 670.57654253682733, 670.68598163218962, 671.03552044452158, 672.04510166533601, 676.07001908787333, 676.109649718593, 678.52211031926504, 679.41134981122218, 680.75216864804395, 681.57197367596598, 682.14661300193916, 683.3332449396022, 683.72242236855266, 686.06235607979704, 686.37418935606922, 686.43611603281488, 687.59525856588903, 691.28057913588839, 691.43316467208649, 691.92997384052831, 692.11914530471438, 693.67824790062048, 696.15116899618965, 696.3256877887942, 696.62900130719299, 701.57475486329599, 702.73099730828415, 706.88521144294452, 709.35544190707958, 710.93832297633992, 711.1096925207554, 711.26223980372629, 713.48872879058024, 715.38174376622294, 715.56294119763629, 715.58487364835378, 717.13754920570489, 719.26107037652139, 719.37644475728462, 719.96567185200604, 721.29014547087593, 721.40563543252279, 722.65676412044877, 723.97263448342176, 724.93328049443301, 725.72973399791431, 726.20887507600162, 726.45863852986577, 727.98803286014117, 728.00901155445706, 732.58131835339441, 733.59192739276625, 734.66989774703802, 735.38015880437399, 735.41921374190417, 735.56306040840673, 735.9380839177303, 737.90267003423844, 737.94823344491874, 739.84483266388929, 740.69902103648417, 740.78065087204652, 741.14352806165698, 742.7964960191523, 743.66943780628094, 747.64677277833664, 747.77824220167304, 747.85059725827364, 747.90795567579039, 749.03011404027325, 749.43118742605031, 749.77139900377881, 750.8149463104188, 752.35769667575823, 752.87961007033675, 755.11624678922112, 755.55703029456299, 756.28450299868223, 757.81953390870683, 758.35119096728238, 761.16733964319758, 761.48792326455134, 762.57756168293849, 764.89193186777402, 765.06252087745702, 765.77590964644173, 766.66006720645976, 767.88752994884999, 768.52754766208795, 769.02392326367783, 769.65226561135876, 769.83981923470935, 771.83562171603035, 771.86965538095967, 773.00418417734454, 774.5208915781451, 775.2470606179578, 776.53472815640907, 776.94884169293448, 777.35084963350334, 777.88581718935836, 779.25289121650837, 780.35123230938905, 781.18176377629197, 782.01139761503885, 782.1987759591002, 783.35672873467433, 786.57245615429849, 789.89662449582011, 790.49470462130705, 791.37002790270401, 793.42056030986373, 793.55117719000066, 793.7250698946026, 795.52149798531525, 795.7124182400388, 795.83955107952465, 796.07271273150013, 796.6075846008905, 796.72035351498016, 796.91044832651312, 797.07031777091038, 797.23229133215909, 798.39294540582432, 799.05047272076399, 799.4335988380185, 802.11007096506046, 803.70102818044643, 805.06385184698138, 805.59821288488286, 809.30777194071584, 810.63739815565816, 814.40057001085927, 815.01144710315486, 815.76447785352082, 817.74324856199394, 817.80306471077881, 819.39577358439431, 819.75568473488886, 820.22973402856883, 821.18720090496549, 821.49900483582883, 823.05225779234695, 823.2636167307312, 823.7234589788826, 824.30141994191456, 825.81504860549796, 826.58493188802129, 826.8570755866333, 827.34983931210445, 829.93785523626843, 831.26563818585657, 831.89523434687339, 832.83742633696681, 832.96487180754195, 833.36614285935707, 834.02038018670089, 836.45587872626822, 837.61238953858117, 840.30104716734513, 840.75985456483181, 841.10380928052268, 844.94989945202792, 846.90748581069101, 847.45478237394263, 847.65276693190356, 847.75115610271166, 848.89856845076315, 853.82642395480786, 854.68043887673855, 854.9444984326791, 856.00234703871013, 856.75389459508631, 857.10880231461601, 857.22083511468622, 858.28010957628396, 858.81656874059502, 859.04726698958598, 860.32343283069622, 860.59774416386551, 860.97765071981905, 861.94748188460539, 862.38248940241795, 863.22764634515374, 863.74019287928331, 866.37664339169589, 867.89337433747755, 868.47327142735696, 868.8843336882793, 869.53270719691375, 870.24744028496434, 870.4927838269308, 872.89285505489602, 874.30814986364646, 874.55984595053155, 875.41542208908777, 875.62773836524389, 876.23078557150325, 876.28507443571652, 876.96278772084406, 877.42246526360509, 878.56545936025248, 879.03060708445412, 881.53009627672327, 881.79870551099282, 882.84747389266624, 884.25451269715938, 885.40965750786665, 887.808994926531, 889.16707409104367, 890.22327676468069, 891.3556620041519, 893.06121081069955, 893.35876724913942, 895.23378937800805, 895.5718400285557, 895.72967322660259, 896.68998010672078, 896.98569666578908, 899.26094347884577, 900.1291461642403, 902.28476664868049, 903.21851628330046, 905.35019354473377, 905.37914012022895, 907.62487607945616, 908.5120132741157, 908.85777777852707, 909.073130722923, 910.21518531195761, 911.34157482165972, 913.42386290568948, 913.71050034343853, 913.9743832855645, 915.32961368891245, 916.94412785223369, 918.97032628532099, 920.45412992348031, 921.43753482327838, 921.69350896443382, 921.84809910459683, 922.70164805245622, 922.97936921058408, 923.88624847947619, 924.18787469670633, 924.9853076379718, 925.13233249586949, 925.50318062200745, 925.54655568050578, 926.34715893550651, 927.38734451865821, 928.5077648049438, 928.64177419073587, 930.82922554908748, 931.99404048124995, 932.36242800607442, 932.67428891560473, 933.14346118158562, 935.07295345984119, 935.93727755775808, 936.56793612385502, 937.95932440882314, 938.90658445586894, 939.53417947647063, 940.28734874161171, 941.58865528560932, 941.62825632430031, 943.2268973322, 943.8547264312308, 945.50329641245696, 945.86655533071678, 946.09895268348282, 946.35655032284251, 947.693289213257, 948.60246812510229, 950.77270788578244, 952.29633462288984, 953.14593287186722, 955.05731476520305, 956.20196140799931, 959.64682460288873, 960.62729080128247, 961.68909584704295, 963.38027967083781, 965.02962651491328, 965.64428810662969, 967.65991715514826, 967.99625176633992, 968.87493040166544, 970.76598057325305, 972.77274438310633, 973.64127544519442, 974.10257490798608, 974.60336882909951, 975.31656344741816, 976.28144075425951, 976.30281678218978, 976.44929076908375, 978.29408961002548, 981.34276869909866, 982.14546379425985, 982.55214388522461, 982.99100626901247, 984.51343889413658, 984.84159836797187, 985.71900573623498, 985.87268723741317, 986.315717362996, 986.58770510302202, 987.97916909000605, 988.08439853839945, 990.03777124192095, 993.68082592429255, 999.43803435423797, 1000.2124873846573]),array([4.2312162218519633, 5.5249927374916945, 6.3973195911654113, 7.603058187863696, 7.6346765341797553, 7.7005119428589994, 8.4232838884678927, 8.4488418639606362, 9.2077216995191549, 11.101538575204865, 11.873198883281356, 13.508858256903617, 13.657356827078656, 14.241577186942189, 14.912240148403519, 15.742956279558831, 18.623142557829439, 20.478372932749028, 21.200370104424412, 22.455305671544949, 24.426732367896047, 27.583837127427621, 27.96813955649494, 28.188461312822799, 28.491249638642302, 29.946030137392135, 30.663731876454232, 32.502268409384051, 32.756803595008329, 33.959922564486995, 34.137226450132616, 36.447743340048504, 36.468417210768934, 37.098248306008102, 37.21408164301949, 37.401267959521704, 41.20764257820943, 43.056160190435392, 43.308673756874846, 44.112614913305478, 44.538790339214778, 45.039598608529481, 45.701810539755215, 46.711925238426289, 46.758622032358886, 47.578250827024789, 47.813735287494907, 50.211901123588227, 52.434193303745957, 52.965271422708078, 53.198305360295699, 54.802190388569272, 57.535779652121796, 58.777006128099394, 59.316652000040449, 59.409563376780824, 61.512896907569363, 63.113098504192585, 64.915206308093914, 65.792510385181657, 67.449019689432518, 67.484444103089515, 68.848668873512423, 69.204000355718037, 70.46038498620689, 70.606720753274203, 71.62429481059155, 72.123077524011748, 73.123317675805751, 74.675168950420783, 76.707087650157931, 77.247759425591852, 79.957487896006995, 80.093079683009933, 81.053751493177444, 81.121865077779532, 81.558569863270932, 84.650216011168325, 84.887652640680628, 85.422513527384965, 85.945217614849454, 87.70768208385401, 88.584487806188733, 89.576970324855964, 91.435547303592145, 91.565752233779207, 91.836547719982406, 93.307550255708094, 93.46408398151631, 93.831336422571937, 95.582523735100182, 95.971683888447927, 98.102613143537056, 99.236070048057286, 100.60502068986938, 101.89416031630394, 103.48507449818828, 104.41067229405563, 104.45934009761065, 105.34716109646278, 106.20524805279256, 106.49958285480473, 107.21350782456597, 107.70399218620476, 108.85026383933005, 109.35192820153043, 110.72777917223038, 111.32586317658652, 111.57890212001348, 112.15879441509945, 112.4286480536984, 113.19619545086518, 114.39876214951857, 114.56839012469806, 116.18335692558057, 116.45935899501866, 119.63887993085494, 120.13183756166727, 121.25026950384053, 122.72468080727184, 122.86458652609326, 123.04164315735377, 124.34184738187288, 124.46420954453693, 125.31832617226476, 126.0272366358478, 126.5935422214791, 127.59741336710137, 128.53383176833142, 130.06288252743178, 130.1909409932955, 130.86092120466523, 132.12094053345695, 132.25306143102853, 133.27568387785541, 134.92123830264282, 134.97815722584031, 135.49539238544909, 137.06735976006522, 137.5533149100813, 137.58231817008951, 141.54013594504434, 143.93307505232775, 144.20797448529859, 144.70373895312278, 146.66846623783235, 146.70286719458326, 147.10365698596522, 147.64852785408434, 148.20535940786544, 149.24630836414826, 149.69850824103162, 150.99781688153092, 151.84680597928795, 152.6309080845171, 153.10631548832654, 153.89117974729507, 154.32212230889434, 154.4848335442845, 155.9417458841929, 158.73161135176744, 159.29920194699065, 161.31770160689166, 161.83252178370054, 162.06038637196974, 164.29757221108463, 164.96650837617116, 165.40450430629292, 169.84179889852228, 170.50518459076, 172.25575163734098, 172.68249391974527, 173.2236971243602, 174.36259580522298, 174.54257783411521, 175.18416006138654, 175.6737254691557, 175.69383562705485, 176.8041831415857, 177.05821769917958, 177.73572481487543, 178.19850054114917, 178.52699352779376, 178.64491233156096, 178.74839673705489, 180.10754352396484, 180.3288879542736, 180.70834564437396, 181.51019008355445, 181.7403656544453, 182.59399816643858, 183.26350249295379, 184.21319266661203, 184.46082631164299, 188.1458325521059, 188.26006885549234, 190.07148628814087, 190.39802228621886, 190.93257326681308, 191.00759925352156, 191.53049633118985, 191.55558320190977, 191.62540264120565, 192.54525733902608, 195.48036726892826, 195.78514384801076, 199.79120221632112, 200.21073700438163, 200.32747991057894, 201.28434360931192, 201.75182074874874, 203.87635497885458, 204.10789648220577, 204.50189412781378, 205.75339884307508, 206.84380461437516, 208.15070581818898, 208.84778638690992, 209.78749742894234, 213.30903855106382, 213.84904740118552, 213.94010193584126, 215.17892019224854, 215.63806932883995, 216.74559967492064, 217.8004226216824, 217.86065694576229, 218.23208307482034, 220.23331927877675, 221.42362950757581, 221.48651530590413, 221.68943305461684, 221.96392884304274, 222.26391814349114, 223.4423551331914, 224.22707838281906, 224.26374469323224, 224.42591973157519, 226.65117293913764, 226.7590271261866, 227.84809003386906, 228.46355401468475, 228.74819841081526, 229.37543528633654, 232.08660683514827, 234.05027374946098, 234.07513439752557, 238.9229294249659, 239.02901795054308, 239.22016580424039, 239.80763586185307, 240.02285084115462, 241.29747250871003, 241.61890690971276, 242.92879922456368, 243.72921980551911, 246.95111739755805, 248.24859315712271, 249.00241395836895, 249.42838824933276, 250.37644353514801, 251.63674771096521, 253.31957650337435, 253.5939769602648, 254.37639112371349, 255.32467489758125, 255.90656874111781, 257.52518799187987, 257.9498449599987, 258.4165403393601, 258.45075158576378, 261.39641687937541, 261.70884108995352, 263.46751208046578, 263.64253696377943, 264.90967200812401, 265.15646314465261, 266.04280782554889, 266.21906629668013, 266.33962444011689, 266.59823430787321, 268.8296157766755, 270.52157625334041, 271.24832316911767, 273.2836502412851, 274.34013349307395, 274.80524304792374, 275.87354644513556, 277.94101965832562, 279.24301496567864, 279.53209126900822, 280.45628540560676, 281.18696918582236, 281.48920530518444, 281.98788779703165, 282.0499521131776, 283.23154354015713, 284.43874157599191, 285.42176360924537, 287.91948860523479, 291.9608734353821, 292.43397475179432, 294.34991064645664, 295.56869563213098, 295.73976635806156, 296.06926831374255, 296.23921569369747, 296.92427129448384, 298.12335870485856, 298.23916665069555, 300.04369128105981, 300.69348381570597, 301.34794121585247, 301.69962389791266, 301.98869431266417, 302.26626993517425, 302.56406526699971, 302.89991006581323, 306.22771664784449, 307.37040183985511, 307.5615675401188, 308.59162960337858, 308.710505931814, 310.61545861797418, 310.92663386028011, 311.56430502361343, 312.78402693805782, 313.66066432309071, 314.18531633122529, 314.60962666956243, 316.07708349497443, 317.46817334642031, 318.07967668279946, 320.28380869126869, 321.17350232717689, 322.10800277500152, 322.82649483958897, 323.53021850522106, 323.63216035818465, 323.7071735039035, 323.85317224923773, 324.31695691066369, 324.59722186095269, 324.71289179242126, 328.63237642101399, 328.68720881591736, 329.04166438633064, 329.55537740257597, 330.89821797801341, 330.95957622691537, 331.24977089683961, 331.85962031920678, 331.92302210080118, 333.70690224124723, 333.7656337598724, 336.10310705991532, 336.50536823605489, 336.55530437035173, 337.763281970908, 338.29341687602124, 338.86370549257657, 339.28049858078595, 341.4430330407389, 343.44028800994005, 343.69992503170795, 344.78705079693685, 344.85101196426831, 347.18907613263752, 348.03227505250061, 349.62647017408148, 352.48793502302499, 355.4412989607759, 356.32677174298129, 358.6802017474389, 359.90507887950884, 360.14166026919492, 361.2122286307777, 361.3120277810317, 361.97196868481717, 362.57698979382417, 362.63752222266629, 364.11312960756459, 364.33256747336861, 365.73811602501416, 366.13439809924591, 367.32506842551805, 368.04701842617044, 368.83589232258794, 370.79121157562344, 371.75400940225728, 371.82059209356078, 372.49740020993283, 374.03951891480023, 375.08137839946096, 375.52526450907806, 379.47248191238907, 383.14603071468929, 383.64342065445101, 384.41618151066314, 384.70619706696624, 384.98477049266171, 385.64227481978816, 385.71872833703657, 386.11919861943977, 386.99527076520701, 387.36679576999001, 387.52070889999624, 388.22483679757823, 389.68602618674493, 389.88224590991439, 390.14012244365711, 390.50980645322335, 390.60218561591427, 391.01389601699168, 391.54003422416685, 393.71263466381328, 394.31379059706751, 394.57801441561804, 394.61806461138423, 395.07437013657068, 395.44428751041789, 395.50325320320997, 395.77664510396494, 396.25285612975068, 396.44586384895206, 398.664399503715, 398.78065733444282, 399.33098789184538, 400.36249094350484, 400.98780235837205, 402.02190448939399, 403.04576807392243, 403.10495810058387, 404.03335093287103, 405.65520620323122, 405.82215539824892, 405.95426134997206, 406.28063111595321, 409.56853611068294, 412.11036795965504, 412.20672326691596, 412.82245534600304, 413.5772709065385, 413.77024021733945, 416.91955377037704, 418.13153517108907, 418.19037719375865, 418.90217810282041, 419.96782266492988, 420.63269210948312, 422.09537007208013, 423.96028078985432, 423.99030606146948, 424.32573534410034, 425.12218097187196, 425.2001308406924, 427.57600437971246, 429.26902161170432, 433.38270226856787, 434.47956290069584, 434.83372204363366, 435.73917842302967, 436.83490602132349, 437.93306896944961, 439.14137650037014, 439.27414159466707, 439.44288365840509, 439.64304905771172, 442.21733029159066, 448.29317245068091, 449.27250603817163, 450.77395764683621, 451.42351404067165, 451.83850553349322, 452.17890691841592, 452.92763690448015, 454.25706069326242, 454.57422391276043, 454.95346454379961, 456.12505524381874, 456.24605455442804, 457.38881928027627, 458.00051728132024, 459.22324644177576, 459.2851840980814, 463.5434046042779, 463.88491421696187, 464.49462228175918, 464.7327603999928, 465.5939006844211, 467.90380379933458, 468.7784611022563, 469.45068589851746, 469.53531020359463, 470.25386875832191, 470.91879477711529, 471.32852075085998, 471.85204584823572, 472.66471788775561, 472.69104378061809, 473.39195869775244, 474.41721941596211, 475.03913022075233, 475.67676302789982, 477.69607617349902, 480.76980421211039, 482.81564717422896, 486.12372436539647, 486.58163451287709, 487.01920895148737, 487.1451160215492, 488.87660400352235, 490.55369870979649, 490.81593969022856, 494.86747602159176, 495.10894363953111, 497.00160031520699, 497.82456359393711, 497.99332057396208, 499.13235702223221, 499.74530319925617, 500.17933794060946, 503.82899505897524, 504.46768650081003, 507.67883427069734, 507.83290290139507, 508.26183165400238, 509.01406202420441, 510.76426985783542, 511.8558145550038, 514.48443196455764, 515.02184215739646, 516.37088306436681, 517.03564837782369, 517.31871809632071, 519.67640750159819, 519.88439145210441, 521.1166275957986, 522.04441010217238, 523.94029097330872, 524.41702191158015, 527.63604756075847, 527.90731850204179, 530.02750339361853, 530.28804569301201, 531.24760103765527, 532.71716192863528, 532.90246810847827, 533.35727661804731, 534.18183821893433, 535.22633543320217, 535.89928110203732, 536.93356335164867, 538.8783841632544, 540.45730614297395, 541.54956850119038, 541.75418278057987, 542.29037513446428, 542.50139921397624, 545.05105735518487, 545.38965440708262, 546.09965333532955, 546.78557419292304, 547.90079921111658, 548.67146937786674, 548.70951688546552, 554.27812670512947, 554.87725667758332, 555.60113902624244, 557.58130581735338, 557.99631834360719, 559.21519640468455, 559.30035212022244, 559.59462438557921, 559.86863486206482, 561.77614941284139, 562.36815516122442, 563.92559838312366, 564.39148360461809, 565.76566616212756, 567.15873565109848, 567.80605907122538, 568.11180065466101, 568.60184983118427, 569.57251448340355, 570.65190459702671, 571.60138590970348, 572.34428778445465, 573.83757704443246, 574.01440219035999, 575.47793204445838, 575.94859292236606, 577.01308828223182, 581.41907354891202, 581.90388075575925, 585.16210957608632, 585.50118387377631, 586.51569005741987, 586.65536391045691, 586.86330267020469, 587.0372198408038, 587.87478356353347, 590.6356637784354, 593.10929495299058, 594.44100843451281, 594.74132298954578, 598.01458152398311, 598.8045060340379, 601.46428515292109, 601.49786826602644, 602.96110627820872, 603.46633818325552, 604.10165996765511, 604.32441133627867, 604.52988870469085, 607.17834335937425, 608.2873598131406, 609.24974899204108, 610.98331152820731, 612.32954377284011, 613.98189612688861, 614.48853552171761, 616.64516676314724, 618.39643869020063, 618.91393086823803, 619.50267993991304, 620.64668940240733, 623.39488771722722, 623.96597885534914, 624.31572428941479, 626.59502857351947, 627.84793329645356, 627.91877433175057, 629.4664598964788, 629.71087280458187, 630.52823254384111, 630.74463787530669, 630.82614388305979, 631.00730290078013, 631.57942995210874, 634.12410830111958, 634.7777213531682, 635.44213122059671, 635.79626984585389, 638.54722338763031, 639.15275416311772, 639.48652638323608, 639.92339686767434, 640.40221881766809, 640.75898346135398, 641.02687713801481, 641.43569094155862, 643.86137802706946, 645.42411031541451, 647.46945037901946, 647.50970605600708, 647.7723234288336, 648.20720962509199, 649.08684235361795, 650.01634908454469, 650.50948024676893, 651.31355722698959, 651.35937464894357, 652.86852656801307, 653.46004990365918, 653.61354896615683, 654.143166906229, 655.96330763022343, 657.22622303110575, 657.79388068267042, 658.68848160867071, 658.89072284400697, 659.9308298682422, 660.11189885630267, 660.67127303675136, 662.68929849083338, 665.00163385573376, 665.33830551811081, 667.15456588113511, 667.73262153431745, 668.93422217100738, 669.41391892785589, 670.23358671244569, 671.33463961761061, 673.43506740944667, 673.50371494559317, 673.97619618118756, 674.21051898190774, 675.01292527444173, 675.67156839922916, 676.34348031888783, 676.42229571864743, 677.88726995506568, 680.3401599731751, 682.15460103303872, 682.34604945747139, 682.84268077111506, 682.96755859037307, 683.50361895378001, 685.05385452021699, 686.97148056561377, 688.1718994459427, 689.24695834684348, 690.45392661803851, 691.83614961720264, 693.27016096491877, 693.40828022391713, 694.3391262407356, 694.40140905117369, 694.4479906054969, 694.74025790533142, 695.96351114016852, 696.17739594589864, 698.34059516345314, 698.9513417381138, 699.8734781385208, 701.83123138524059, 704.15734418825593, 704.27053776763717, 704.74250030243275, 705.06929967620556, 706.55709857895692, 707.37486001985815, 707.52791143650381, 707.56511577355229, 708.55231619312963, 708.89122849378521, 709.18930397159295, 709.217695347671, 711.20778405040619, 711.2752822249463, 711.38882448348375, 715.13110876235658, 715.82797558290508, 719.15365932022712, 721.2173842923296, 721.70075901811299, 721.76176695855361, 721.86594500177068, 722.24007948867722, 722.90747979694902, 726.21240637505764, 728.46792180431453, 728.53608948230499, 729.5309813272919, 732.27345857254829, 732.85020425340701, 738.13357796647824, 738.41833309867752, 738.46441124529417, 739.32901465351802, 740.33929593848745, 740.83324799348509, 741.53695593585212, 741.87623244984275, 742.10575929925494, 742.59202740626301, 742.68330838026225, 743.32218519822948, 743.39071829292641, 744.63147955086868, 746.02930778992049, 746.24506898592733, 747.63632515811423, 749.79219569492352, 750.12234722747223, 750.62977080166888, 750.71145929417173, 751.20018650286386, 751.59125339303421, 752.00979093887418, 752.32592294735559, 753.15234677467936, 753.40215037053167, 753.98205165074796, 754.04068972899802, 754.91435967998314, 755.26109835290583, 755.86202286478431, 756.50663180772335, 758.99693358220281, 760.08246621757507, 760.64364933810509, 761.729781304173, 762.39700777355336, 762.96208530994215, 763.17561673763726, 763.66684501990085, 764.1532802176614, 765.8829779442251, 766.24665599241007, 766.84171661311416, 767.1406196407446, 767.19160761677006, 771.1575190078371, 772.21909890947256, 774.65774730657211, 776.01317231189239, 776.60426382346566, 778.80052823920096, 780.07252706911231, 781.38809531313018, 781.95555694789061, 782.06096748738366, 784.09322950233832, 784.23622436659741, 784.45671760295988, 784.8022634420231, 788.38671997696144, 788.48799643640996, 791.35936650485974, 791.62446486558406, 792.09674842697495, 792.45332676044859, 792.64052968434476, 793.53727029627873, 795.88320659358351, 797.18183929695181, 797.39327243823402, 800.26290603459597, 801.1705184015193, 801.46585583863396, 802.36729643304591, 803.23109788913473, 803.96922369980177, 804.22955533869469, 806.08174575239434, 808.56885888563966, 809.07098948709984, 809.35772479323202, 809.88006005080251, 811.87794364733395, 812.08910805665346, 815.64946745415773, 816.087115244855, 816.82039332532872, 818.77266299256326, 819.83575264399269, 819.86971255374772, 821.398213071241, 822.9274843978028, 823.45290882065865, 823.88491140677104, 824.27143535379525, 826.75486946184003, 827.42572606351052, 827.75860224132055, 828.77825117969326, 828.85313679111812, 830.13895548267158, 830.38070380106922, 834.05450488094095, 834.33417233221792, 835.20577033581196, 835.2721436737304, 835.36651517861742, 835.93905261615805, 836.38648398038958, 836.43046337055557, 836.75752813051383, 840.03509496238507, 847.35405306997166, 849.34065901225711, 849.92020776500328, 851.30204553160286, 856.34189694419922, 857.87446677805372, 858.55324564088926, 858.99934309134164, 859.02063935953845, 859.71010301621993, 859.73576642887451, 859.83448954679022, 861.41407408788768, 861.86759582491607, 863.31910126619402, 863.54810147719115, 863.75688825431553, 864.58037135484085, 868.12655256854532, 868.30578561844936, 871.06587031271567, 871.91382000831459, 873.44865778708538, 873.82509629620563, 874.57419018302187, 874.67756040026404, 875.29967044763453, 876.07303799283454, 876.75262210908818, 876.8069467514182, 878.14931042551302, 878.22384347989191, 878.45370680042856, 879.03510550400244, 879.16841273289992, 879.96563503399807, 880.29509052331002, 880.41458771550708, 881.90200806416237, 882.26780717156294, 883.62745701871074, 883.69486718868791, 884.70250057134444, 885.55115684999657, 887.07051095733573, 887.11280927575649, 887.20142694729179, 887.94990880643877, 888.04781258049013, 888.49022390271807, 889.01106933112248, 889.69503576308432, 890.30866982876512, 890.85490349974555, 891.61982087742376, 892.30592556871011, 892.94239642792286, 893.19707694693261, 894.62625688174091, 895.86518480654627, 897.24281727669279, 897.36659608503589, 898.00289736054242, 898.76711180379175, 899.48358840661967, 899.80500649874818, 900.0012260994888, 900.89919554112464, 901.49583324673119, 901.95145051823363, 902.54396485408643, 903.78886814208579, 904.78954337546111, 905.20906456396483, 906.57709114839759, 906.6804258938854, 907.60074361645013, 909.7485238022299, 910.69161070643281, 911.03545716245571, 914.66798703357802, 915.40253970885169, 915.68266811326828, 916.34195466673009, 916.50507311806473, 919.08514513559885, 920.86980920300425, 922.22402454346684, 924.60526839050033, 925.26487417036276, 925.34162392805877, 925.99091359968907, 926.04878303787893, 926.26837093751453, 928.73186894864421, 931.38502757275376, 933.01217342925361, 933.74366209642938, 934.67473457107496, 935.21638956678282, 935.40162147328294, 936.21943647116404, 937.60220653155318, 938.50920884820039, 939.58833586532523, 942.21337897431602, 944.35554855483065, 945.48515677074522, 946.52373433379898, 946.75075272767197, 947.0868667303555, 947.57905693561497, 950.69805233183604, 951.00464389987826, 951.55960279013868, 952.25833985661689, 953.50971042724768, 953.66237715556815, 954.01813939616977, 956.20951432462743, 956.74480910485261, 956.89905700036172, 958.23325379405674, 958.91554508304557, 959.20938316054719, 959.76155735717612, 959.99862855194772, 961.44141325644432, 961.8056940574063, 962.64919856266931, 963.63952559402912, 964.74342375958281, 966.07799198901193, 968.01846853816005, 969.18724364215643, 969.86673453949595, 969.94609865219388, 970.50310450811389, 970.98476401067205, 971.40692317165133, 971.42729861380212, 972.38885148973952, 972.51306761529793, 973.70908120640718, 974.70269461639145, 975.76397925883532, 976.27980515936224, 977.40789249924603, 977.49638068609738, 979.1394308715951, 979.3766341102737, 981.03371014830611, 981.68035153461051, 981.716357752112, 982.10716740142743, 982.37455198453358, 983.51622886974531, 986.28380999067747, 986.36132997000163, 987.21938771440807, 988.54382006364142, 990.66463120730714, 990.82077338023043, 991.60338200135755, 991.64103460895581, 993.11779057790545, 995.22504519525535, 995.34850817023573, 996.43563447920292, 1000.0511900572794]),array([64.390198825270346, 64.426259826361601, 66.327560746666535, 67.351274941464027, 68.966519616523286, 69.447443510673224, 70.343138437798814, 72.900397412608527, 74.109962303960117, 76.495689107077681, 78.894067788984586, 79.292728870626874, 79.935343277890183, 80.911508484387866, 83.265121992996924, 85.259594248986303, 85.827929306919415, 86.282347625651298, 87.608448298580797, 89.870073110979462, 90.713558145570971, 91.802434320741028, 92.183003137418652, 92.716299408657051, 92.80838498694385, 92.998402293240673, 93.361994403162001, 93.864615860545996, 95.07870838670263, 95.688563678354015, 95.893671819111418, 96.897647774212487, 97.586889780406679, 98.188986480829712, 99.60959826044224, 100.88191666701971, 101.10819173366134, 104.34712613751989, 104.72469462879836, 105.79493149615104, 106.92982859936978, 107.41175758455888, 107.48959629431138, 107.91357867590338, 108.1213135350705, 108.90717116417053, 109.02662655908487, 109.60191491328212, 110.95498271428619, 111.7233423243587, 112.12179545890196, 112.15243866495983, 112.92347237294086, 113.47841492210324, 114.42497387224245, 114.4530780710777, 116.17213112084787, 116.3958334572395, 117.2773976255514, 117.77125288842713, 118.29204839008879, 118.73290253964151, 119.601993817386, 120.52803303815311, 120.59346060434932, 120.66019060065935, 120.90169289848028, 121.01985993773911, 123.2004263399719, 124.46873100144879, 125.53378074920685, 126.65206075847925, 127.46686822268254, 130.21896013671693, 130.72487831337403, 132.39199348988831, 132.43572963779138, 132.52682502521418, 132.67770494968903, 133.60551530722816, 135.21473302503591, 135.42680552976103, 136.63029765453481, 136.70063324849153, 137.87305243013722, 140.15515818529718, 140.27473520923613, 140.58216424340108, 140.85752166257507, 145.80266600018953, 148.24099889864397, 148.85749095341222, 149.03550406157103, 149.79292991371935, 151.94071837219616, 152.25794324828331, 153.94427090063581, 154.04369447205065, 154.74314163047285, 159.94108297855567, 160.0713364505765, 160.84117826903756, 161.38530431591136, 161.75863591003213, 162.01996072531136, 162.04296368404491, 163.11452027921834, 163.21513820746389, 163.94371024812318, 164.07940549420871, 165.28717314869857, 165.56724531102765, 166.56205176761938, 166.92518334988674, 167.40315541793154, 167.70969083163587, 168.08140274284781, 168.5356886421736, 168.94168871989376, 169.35334744496626, 169.61966136955073, 171.48272672105401, 172.38571093851513, 172.54359291696173, 173.11561617893079, 174.40854094647776, 174.58775853806006, 177.39747958316201, 181.32411920944529, 182.02866072395324, 182.45902656908456, 184.19968115956374, 184.70418684563705, 185.84187201817733, 186.81333949380368, 187.4751676429336, 188.2205792332729, 189.75121845887747, 190.56328328526004, 190.89823268530006, 191.9447668550163, 192.80415325406969, 194.89262414688542, 197.60478837463393, 197.86713473485676, 199.23901684317443, 199.48042766024875, 200.94005306162336, 201.91174691100656, 202.73133769586218, 203.68023067924747, 206.99087116725798, 208.25606577146323, 208.44438294395584, 211.48374903898727, 212.08375680259368, 213.51368590550706, 213.95370988552759, 214.31070643814144, 216.05868461687007, 217.73692994793379, 219.60697167306802, 221.05266236667407, 221.07922261407705, 221.25799084185437, 222.50869099300297, 223.98926422418921, 226.68033171909678, 227.8961379529766, 231.18950890011934, 232.14013425259074, 234.45016176146058, 235.19457710764996, 237.03261283165347, 237.91494877802191, 238.21420492029554, 238.99946094697623, 239.57279078758407, 239.89817845267007, 242.33711811590581, 244.28805137574625, 245.10486305619523, 246.46853600972219, 247.66283120940975, 247.71792289214349, 248.51972304435012, 250.41850135135243, 250.48256047507064, 252.42771266264867, 253.22983441551045, 254.51684618035421, 254.69474412573018, 254.83932043223649, 254.90497751793183, 254.99152878674431, 255.82424139950481, 256.44394339455454, 259.04839478605521, 259.96314062095183, 260.33886830056269, 263.27307516568385, 264.28608352259801, 264.5107822747849, 265.97013071494337, 266.39791394747192, 272.4482073540259, 274.18547562822289, 275.26787108598529, 275.62680844020815, 275.70090153614683, 276.0627442670575, 277.12573315757811, 277.21681054826445, 278.35445038059032, 278.43169922268629, 278.60363511852393, 279.76260451317626, 280.26636839867012, 280.3911000453482, 280.87854931317537, 282.86851380634238, 285.1016975966088, 286.17231268376145, 287.32195008702627, 287.39290869702876, 289.11475257747912, 289.75595953827815, 290.1792297284818, 293.12270116680531, 293.21934234782447, 293.31151066448319, 296.42202333884643, 296.44360861519908, 296.47897618624984, 296.60637824811511, 296.90821979064606, 301.1509757732839, 301.42321048898418, 301.56207341397698, 301.78425429630153, 302.67866493474185, 303.1341202690931, 303.30067262612999, 303.67271823529501, 304.20834004651101, 304.35424013337439, 304.54870785214064, 304.89394044594627, 305.80775458512943, 306.23879618526837, 307.45369282504879, 307.89182708110576, 308.79592287523127, 309.88914269499713, 311.11135869496422, 312.29676723874326, 312.99821900801498, 313.16059239530421, 314.09816366822196, 314.37691704458427, 315.01632522534749, 317.21291543566178, 317.29473019446948, 318.56446797543219, 320.0272677596671, 321.48425495000441, 321.52293500029083, 322.04150151708399, 322.38760685565006, 324.78528430125533, 325.09602974035289, 326.26484938203168, 326.94005753226247, 327.37658568475297, 334.38317859460614, 334.83838703665566, 335.18824594009135, 336.29275667396524, 337.51277197419745, 338.97772012347696, 339.9353105508311, 340.77828147682618, 341.04620197514737, 342.3988754659253, 342.58965706626782, 346.28660350435939, 346.34453635023732, 346.7538704554031, 348.59595614125163, 348.92455375867502, 349.55475194912265, 349.76078698641368, 353.08203537497195, 353.14692591201862, 354.51383343710023, 356.69691294105866, 357.18022604036884, 360.6606544652555, 360.78699430048948, 362.02545145706307, 364.44144710454236, 364.8313188682655, 365.35955186939862, 365.87522600469498, 368.24974603547588, 369.8203578639762, 370.90967938579348, 373.27385247084385, 374.00965709732048, 375.69514846302235, 376.41979216513033, 376.80397638384835, 377.18621996398656, 377.95553082703191, 379.33165826396402, 381.31742725083757, 382.30168407307025, 382.85461600337197, 383.03172372719331, 383.40927642341046, 384.06005786465482, 385.38647528632725, 385.816633686378, 388.15203129915221, 388.4550001386321, 390.53369903656386, 391.57437981030199, 393.70671410945943, 394.28488871393216, 394.37287039520743, 394.46310703252135, 394.90532055423671, 399.29794704769796, 403.96212405646338, 405.32973229642181, 405.48409202026454, 405.63116324779168, 411.21512577864212, 412.45858456703502, 413.74497850170764, 414.11412800009288, 414.16847197180977, 414.48284771509674, 414.81469800780098, 414.89309842125078, 416.53264376770272, 418.86023702765067, 420.69083121422204, 421.88541941951678, 423.23528928666104, 425.50153861006328, 426.14305417653907, 427.06426312611353, 429.12716563943366, 429.40989556103989, 430.26776949781009, 431.1404847453756, 433.38325729624745, 435.16293761815842, 436.96223896450869, 438.03119004766035, 438.71268087090021, 441.40172259357757, 441.70690074587338, 442.4994100480564, 443.58958098996709, 444.40676386248708, 445.92867731890772, 447.27380612314903, 449.16628115816548, 451.27838797168312, 451.79370931329311, 452.8905416525821, 453.10031903467564, 456.0365107960609, 458.40233938876571, 459.41563291636834, 459.91374960681787, 460.0575399842935, 460.29408712553567, 461.31192218280404, 463.84737649896709, 464.66478606972731, 464.73539957298351, 465.06906913645673, 465.09389057443707, 469.57997106849035, 470.23158868108254, 471.37206997247318, 472.1311544679595, 472.41480458112238, 472.95865887491124, 475.55524696697972, 476.58044950608718, 476.7102476353312, 477.80819555529615, 478.14386678510721, 478.95075161238435, 479.03106665017447, 479.31341666888449, 480.08056748164813, 480.22600307789753, 480.58320678984018, 480.64793074867225, 482.59106594557323, 483.03837150564675, 483.25056994928292, 485.21037763486089, 485.52434739368744, 486.05796633520396, 486.71238433595943, 487.36193813115489, 487.52150049782188, 488.10852218257673, 488.71615417128191, 490.85925617372459, 492.58438491630568, 493.47944733786386, 493.72695292683977, 494.22376981336816, 494.97041650765561, 495.51253586954613, 498.38846971029074, 499.74367304526061, 499.95059216089976, 502.06367085497476, 502.38422838047433, 504.0090748841269, 504.68371412791083, 504.72989222984836, 505.00463543980806, 505.60159221875068, 505.88505327652149, 506.15691439287644, 506.93787709772459, 507.46966246874103, 507.56573758045357, 508.35780637627607, 510.62612876261352, 510.88746744193531, 511.16316041869374, 511.88877949067904, 512.30075535108108, 513.69694852204861, 515.75776242078405, 517.51247216739148, 520.29255397311999, 521.40251096641509, 522.51160640669923, 523.88994707554332, 524.35724276883047, 524.57577718720142, 525.63746991058986, 526.33687828247139, 529.27154687581481, 533.03204033364977, 533.40211433612308, 533.84941900321871, 534.48674991153496, 535.16589907847981, 538.46489575350904, 538.70449140385938, 540.1596200574312, 542.79295169180773, 543.2535529765405, 543.40487181260039, 543.74954856857732, 544.04688518544822, 544.14619290408257, 546.2460338824651, 546.69412406591903, 546.94620325009146, 547.62778163584198, 547.82553096233551, 547.97032588275533, 548.91050837320029, 554.71520359782539, 556.13067698399686, 556.17034177221842, 557.32116723832803, 558.73311088154753, 558.93443767687302, 560.42736765027462, 560.74214575993665, 562.2637769370873, 563.43487134881491, 563.61640634671392, 563.68382345467194, 565.92360715713698, 566.83606354482288, 567.13920915783592, 567.2786766189206, 569.50175271884859, 569.95380152995824, 570.02180684686869, 570.2213894866793, 572.7200715574628, 573.05566875765885, 574.89644995142544, 575.90026362990409, 576.3316498161671, 576.40140175823535, 578.20299502017076, 581.61068344948887, 581.82117283061052, 584.12368421383587, 585.13334927503172, 585.42679851579396, 585.55171445364908, 586.32520653466725, 586.36617217235016, 587.15701802315084, 591.61403055326764, 592.00422606586119, 593.47539651833358, 593.61668542851362, 594.31694865956831, 594.51928859183352, 595.19473464221085, 596.29225494052025, 596.90661286125408, 599.24604887661451, 600.78939003563369, 601.08405550526857, 602.0772541220432, 603.11865743020348, 603.53721807470583, 604.86941713830697, 608.34960334739503, 609.23244459203374, 609.7931990637851, 610.24029801550466, 611.31826822383232, 611.74790274478289, 612.18785206262237, 613.9905365416929, 618.45913515367681, 619.99560931743133, 620.65239094673393, 621.12313239816967, 622.53793620090732, 623.68026851244326, 624.05094756103779, 624.41989607422329, 626.13300136130783, 627.63323601573052, 628.17521598092299, 628.96309698369043, 629.45695031157493, 630.16210358884325, 630.75411546487715, 631.77597481733028, 632.78532564626596, 633.81212433721396, 634.40189591365538, 634.6233718876482, 635.48900828740193, 635.51918979540437, 635.9309978287456, 636.50128177776242, 638.10658295534574, 638.50169766078966, 639.41551967912562, 640.12778215794958, 640.36433346037416, 644.25420449684452, 645.14017085516889, 646.81050387909124, 647.47034857819119, 648.55267933560879, 649.90828138633924, 650.21044959769608, 651.11686669238384, 651.27443841246622, 651.33220334099747, 652.77123436362308, 654.37818514604885, 658.17308219255335, 658.49329646334536, 658.82026503226132, 658.9602290309582, 659.21899991947464, 661.03350603679951, 662.29950695616856, 662.39920014040626, 662.4266593140818, 662.69659128754347, 662.75212610378333, 663.17773487757006, 663.22770508471478, 663.62215708258634, 664.43502505937624, 664.53979924684222, 665.20732141608926, 665.68738461344492, 666.8342119805227, 666.86781685893186, 667.20613067050147, 670.29198241362781, 670.87674985661511, 671.00558725098301, 671.60011811442655, 671.62163265901665, 672.6130813614127, 672.81746081669814, 678.02928966861498, 678.24626976028844, 679.14614497844968, 681.92320646920575, 683.16110766021177, 683.35307580765868, 683.52153828416704, 683.90342986264523, 684.4444850304144, 686.96863763077579, 687.68362734765992, 688.09773447054181, 689.75147729474338, 690.30988872095782, 691.95246254866288, 692.72262669425697, 693.03472674317845, 693.14128264393639, 694.07074278851712, 696.59195784884093, 698.79669766895449, 698.98034701883091, 699.02645130982705, 699.20679763712326, 699.67511037942143, 700.15186789304801, 701.01869369102724, 701.59758312229951, 701.80470940681016, 702.2757385268535, 702.93127998302396, 703.11291733745907, 704.23507987252663, 704.5759660877776, 704.73332909887051, 705.71655952562685, 706.80207337855848, 707.72456003305786, 710.23405235980806, 712.78800441780209, 713.62851704625996, 714.09418188875361, 714.35369645066078, 714.39823093065309, 715.64571656946271, 718.69390519135186, 719.13486595484937, 719.49540895785742, 719.64588501154651, 719.80531967995671, 723.04620958081944, 723.80432330942131, 725.89034730666287, 726.63966313676667, 727.54078501265428, 728.02020083455852, 731.14162174467094, 733.55835355855106, 734.96038122354969, 735.82915071912407, 736.13854937590975, 736.18939369591169, 736.23677635827971, 736.72455068284285, 737.82591926485986, 738.11850792545818, 738.21548460588451, 739.83790957444432, 741.81395296099583, 741.86817950428019, 744.15358197516809, 745.54421278957921, 745.91220963986177, 747.26778313110697, 750.31116016008173, 750.69762116384618, 751.00313043402991, 752.28826585278557, 752.75524363093791, 752.88385917656751, 753.03961430817617, 753.94308862572063, 754.11180254814997, 754.28112299041356, 754.46172473436047, 754.70781861112687, 754.74533320560442, 755.14739091885019, 756.73399422853197, 757.13984430034213, 757.25232481125727, 758.72790233614501, 759.1399844309816, 759.80484037370366, 760.08003647650492, 760.91846940748337, 761.71539672976121, 761.74590386074851, 763.7488891195627, 764.61914870520661, 766.1152176745619, 766.85417237240267, 766.97788032224662, 767.75719258595086, 767.82561561505554, 767.98041492296272, 768.31465446147865, 768.6778159859839, 769.72951021948325, 770.05513827448681, 774.26561447237941, 775.37955388629962, 775.56153261739803, 777.17128535017912, 777.50698636463005, 779.93698212289303, 780.35924708709331, 780.64809284511819, 780.81931238368952, 782.13696686126877, 782.44077697768387, 782.49374068211841, 783.59595141806915, 784.59130429004767, 787.38469019314414, 787.44165477134686, 790.05122992884003, 790.09326903429132, 790.21114459693797, 790.39926297168768, 791.34075293749356, 793.02628119183998, 793.90120888845001, 795.10170025520085, 796.58122187771767, 796.84424951872199, 797.49083081085928, 797.99292316828883, 800.30587835028257, 802.26837658533123, 805.2241694108443, 805.98389379606806, 806.75836023311979, 809.72492174920069, 810.61634424655847, 811.0943972645083, 811.1316378880208, 812.29720840429752, 812.88940340921886, 814.19029348680328, 814.91663081396189, 815.08158873654895, 816.23893483888583, 816.43531806553062, 816.51108368915015, 816.79531419192313, 817.00261902984198, 817.68317062120104, 818.0905222329128, 818.41217270355446, 819.65740628557057, 819.87103093554754, 820.67062330971055, 820.73170690230279, 823.38549141938836, 824.59999419845929, 825.55503240652558, 827.59815470873286, 828.18092783760108, 828.37566609101395, 829.73543271520714, 834.24981278879193, 834.82706246503687, 835.35775998163479, 835.52397534530735, 836.46695273799025, 836.71322114037275, 838.13511873392042, 839.25832676995969, 841.17029167567603, 841.47523561975208, 842.99297167434543, 844.31705800323562, 844.75278582319879, 845.08497842964925, 845.18651750640163, 845.71636194845985, 846.07389960840851, 846.21062897303386, 847.87647265162798, 848.77975658365051, 849.00268523588124, 849.65928044953398, 849.72550427552017, 849.93035396674134, 850.13304653068883, 850.45396338057549, 851.49253870278426, 851.97105059857961, 852.27164456182504, 853.84907826299661, 854.24310304133121, 855.24720734365349, 855.50581685580505, 855.88785890902579, 857.73695603767783, 857.96241821503031, 858.62285592796877, 858.88793492084983, 859.13928711163783, 861.61303053835672, 862.50741520261738, 866.30644544246286, 868.55666334741375, 869.66021020429207, 876.34289414178511, 876.76452009977243, 878.04953109750454, 880.27162556767712, 882.18822324332484, 882.55303253371551, 883.63863903266861, 884.56734006072986, 884.62328520452343, 885.26623290772022, 886.47043777566887, 894.70213184811905, 895.45631822539031, 896.99868324850013, 897.6267453807078, 897.86026576838231, 902.39548651989742, 903.41249909601834, 903.79316051434341, 904.18634787704366, 906.38475685581523, 908.09397501784622, 912.07181164773647, 913.05224228238148, 913.14829503200497, 913.29232020194229, 914.42570963057256, 914.48358670147525, 915.64655373968174, 917.40455604272938, 917.83996114968033, 918.14246724302666, 920.81477901709525, 921.0246610220039, 922.4291244207991, 923.46029226836026, 924.81647447305465, 925.98227917317035, 928.00594233771869, 928.10188066090006, 928.29134380772393, 929.03257816309429, 929.42404753147582, 929.90837983895437, 930.09956763462503, 931.51228151111911, 931.80986161569786, 932.17330713038302, 933.4310710958772, 934.17187356180023, 935.02267030696248, 935.26736450364581, 936.44501394802899, 936.58365703807033, 938.42897000265589, 938.73666022306736, 939.74197352048179, 939.86201383976925, 942.29395145804006, 943.07615394890524, 943.32942444117441, 947.44694112840057, 947.90489956873751, 948.83233224077355, 949.42222124346472, 949.51109611441939, 949.91714476295851, 950.25162028773468, 950.68005699063428, 951.5383058806998, 952.64321154828212, 954.23819288200104, 956.00312556023528, 958.40344707579811, 959.90902154697551, 960.36801596208693, 962.29700560080425, 962.62334534440242, 964.41033876134679, 965.12342040116391, 965.58590425708871, 966.58797942611818, 967.04757691807515, 967.20685364095914, 967.66308439988211, 968.4787521183431, 969.90881564101301, 972.52355446195941, 972.96241411554422, 973.66283023051039, 974.05445497182393, 974.17814548571437, 974.7378744286832, 975.18892957927687, 975.73816082512417, 976.40778901817441, 976.5806817442882, 976.85426201938981, 976.96997553723224, 979.97463194892327, 980.15138472887099, 981.84581536639053, 981.94951105171322, 982.10173226072391, 984.50489011287993, 984.52727789967128, 986.09773070771155, 988.19388696889416, 989.27208164690558, 989.42780127049525, 991.02617519139562, 991.44853040385306, 991.47961032213686, 992.41168392984753, 994.89651265612326, 996.01816944412155, 996.40294120858869, 997.2361239098384, 1000.818312170004]),array([83.466067143128683, 84.94298337806643, 85.651743537194051, 86.400721975473402, 86.784124835070173, 87.679626074874093, 88.661925369490362, 90.406805362467296, 91.484193586797659, 92.020893437909592, 93.083802852738202, 95.400677650427781, 95.781640479868685, 96.780380037505907, 97.216925483279681, 97.363688698658436, 97.389813030719424, 100.11192221324211, 100.36763611448278, 100.52284306975422, 101.37758889282701, 101.583249767862, 101.83787113650034, 104.18340433072375, 104.95768509378571, 105.17667936319381, 105.96298208810219, 106.0604231385777, 106.9429054033707, 107.00433461588318, 109.83475575326824, 110.35319704007505, 110.39503336670151, 111.2164503804909, 111.98807930394513, 113.50880562560933, 113.69119973041605, 114.0340463079533, 114.94877806673119, 116.31936811614416, 118.88766710940723, 120.98022948961741, 121.46297781566857, 122.36238277374397, 122.80707174668999, 123.04704076428824, 124.19717331618659, 127.75551862276541, 128.88363804084068, 128.99860693087663, 131.96656273941943, 133.09988870098258, 133.4099128775608, 134.43350356841864, 134.5710049243452, 134.90954148421389, 135.33957906974095, 137.81405731899994, 138.97689606658824, 139.23211917898163, 140.43265969910152, 143.77148829082697, 145.09179256987929, 145.30495160239911, 147.52853958240792, 147.98515252046437, 148.06864645018121, 149.24729250853096, 149.76521680929866, 150.03309865082161, 150.05722568935812, 150.19299719435386, 151.19121831733338, 151.72376030837302, 151.7786893054043, 152.62447282507662, 152.84999541486337, 156.28307845335624, 156.5417750447898, 157.52334086788136, 157.80290941143772, 158.28070530807105, 159.44350423958494, 161.01458774516158, 162.6681901976751, 162.82107750605618, 162.89911215850927, 164.63685484805532, 165.06810991114355, 165.85644871166664, 168.23442557056501, 169.18582060517494, 169.81995756574372, 169.85550920938229, 171.16052669832223, 171.20405329612626, 171.89480820569446, 173.79059937592334, 174.71006354343845, 176.78576417501321, 178.33320250626662, 181.11777427179535, 181.74228008571373, 182.85419635910256, 182.9465442443848, 187.92801878448651, 188.32394066345651, 191.00695063766685, 191.44891143059417, 192.88928634696384, 193.0018765236814, 194.29571539073149, 195.5733488049523, 196.16922043333173, 198.02083670795705, 198.34399741901566, 199.55488224539278, 200.49256881057292, 203.11244747548341, 204.03483272423446, 204.28524045202983, 204.51307553009255, 205.38841306219217, 206.75423525031709, 207.95218180400639, 208.38295733863399, 209.50444285130447, 210.16468937192906, 211.69324265437973, 212.67105547393845, 215.028681437427, 215.65656884311579, 216.44751636471651, 217.21731337030536, 217.39154112698625, 217.66021450919109, 218.15455256574566, 220.46175724614926, 221.11657880681801, 221.98466911489371, 222.2354727014137, 223.2409379548217, 225.97074901890943, 228.83019780588242, 229.73584246981363, 230.73048428877905, 230.79004653601169, 231.49474203538833, 235.48122503836115, 236.28542624082519, 236.81465845481202, 239.11844554809184, 239.33931334164907, 239.38497011339601, 240.10663396645825, 241.84422924422535, 241.87371763819274, 242.98336238062279, 244.24374329050073, 248.03119147824967, 248.76970971254445, 248.81117057398458, 248.83415095566474, 251.05700871250764, 251.58245417459031, 251.60488137447064, 252.33282389680082, 253.30510839780698, 253.74672616483261, 255.2337306473072, 256.66987370414444, 256.82948686903501, 259.51152437221197, 260.97410514832774, 261.03612496524283, 263.6731767819569, 263.80092963745511, 264.33150174339977, 266.24164592306778, 266.51713270956594, 268.30172943096937, 269.70177720817242, 270.20356524285091, 270.39311468651272, 271.37733899893198, 271.692766954928, 271.97502532970969, 272.0433929081359, 272.34669810728678, 273.66918977676971, 274.34273998076088, 275.11331277492269, 276.09347716251921, 279.00623426495667, 280.63670865270984, 280.95313139452003, 281.13519387390949, 282.57823987612517, 284.19647377009846, 284.29961209355525, 284.83703479334281, 288.48099156918823, 290.60483126768105, 291.90335074363117, 292.09740792887413, 292.40137406744526, 292.88364244811618, 292.92664564130928, 293.20368737225641, 295.86932842053352, 296.34179895054967, 296.80925812472435, 297.10227072805134, 297.77789285538461, 299.75129829166906, 299.92084264774701, 300.71066184610731, 301.68801212900746, 302.64931040360597, 303.50950342798421, 304.27609407014705, 305.00704448111105, 306.0298864483068, 308.44249635596498, 308.64524235025374, 309.60648508482706, 309.73317626271103, 314.78770349628428, 316.84915594305113, 317.41743385332086, 317.68645698837264, 317.8938525140054, 318.48072172674125, 318.5464850140508, 319.59341215568139, 320.08273055756501, 320.77849188698622, 321.42607434968863, 322.84753597477174, 323.77871212726592, 325.91985078798058, 326.52054595026698, 327.68215950970006, 328.0205808120964, 328.29437613808994, 329.15598558233472, 329.3206062357695, 330.96172981601967, 331.30636050774825, 332.40892403905582, 332.47104415782496, 333.23878510900875, 334.41633335218341, 336.9296283099759, 337.06199030002563, 337.68825169842864, 337.85942952913564, 338.11074195241304, 338.69254476284164, 341.50121252733857, 341.9302147189191, 342.30501199487446, 342.33234179545434, 343.44039054647999, 343.57581796109412, 346.11833941290314, 346.82364517148983, 346.92659991406009, 350.65798754558318, 352.17441802484143, 352.8609850214545, 354.32955401568518, 356.740803678715, 358.02073465112039, 358.37621233916781, 358.9469095363209, 359.96759312887036, 360.68796147224703, 363.00857284101681, 363.09213675244104, 363.78795826367235, 363.83046412419463, 364.08532669428365, 364.36431316875633, 364.93377132496749, 366.99943268213099, 368.16792644940335, 368.99701957298959, 371.72571639177596, 371.92214507584947, 372.48342976681647, 373.87896360563025, 374.30422862666654, 374.54374735535578, 375.10641757341062, 375.30794248029639, 376.33851359038141, 377.07265658366941, 377.20023039290726, 378.13005811676277, 378.65885950564126, 379.06101313621332, 379.13993336884619, 380.66130907147272, 384.63024365550859, 384.7939643660564, 390.42912719377398, 392.83181172712688, 393.99333805886249, 394.8122723797556, 394.95097398323452, 395.07553651024506, 396.34081184778336, 397.52290652480525, 399.62804181077786, 399.69149932756693, 399.83444858312674, 400.11294731729254, 404.01073916751125, 405.41879485844373, 407.20309310707921, 407.54021694359028, 407.66414095174719, 408.94875382027197, 409.5068544735974, 409.53260937485203, 412.20119348971593, 412.60393816415251, 414.39704080208526, 417.31724369118865, 417.77038116414718, 418.74167241859726, 419.40787306677157, 421.53507815711356, 422.15274201656757, 422.90196738556511, 424.61984781878851, 426.00674311810832, 426.3347915571498, 429.23334535811006, 429.3470490839623, 431.3882636471962, 432.75924247749367, 433.57651691560579, 433.69151905988468, 434.87835005658781, 434.93136872053873, 435.61333090264679, 436.62321680926499, 437.32104817766526, 437.36634499812851, 438.43091707371991, 438.95328663201889, 440.37359921683566, 440.668712343626, 440.97979933794682, 441.56294718456053, 443.63119648723602, 443.89792617003252, 444.73219909883932, 446.21631385107793, 446.82355625486224, 447.04821206220095, 447.70487758003105, 447.9894872622865, 449.36262135979746, 449.43974660186177, 450.69008279234151, 452.45586999492144, 453.41007219265811, 453.51935497469447, 454.14542612168106, 454.31002131348754, 454.50221349383304, 454.88332844988929, 455.11993339153048, 456.21276065068389, 456.5802279394976, 457.15878803162479, 457.4779696145153, 457.93171953573244, 458.77973591864918, 459.80978969387581, 460.29341461829148, 462.21711431108872, 462.99900522662386, 463.37981633254253, 464.67573347166189, 465.06064053643178, 465.57754931796802, 465.67576951885565, 465.99539735093828, 466.03552015459439, 466.29997690241839, 466.66850182924185, 467.71473200069084, 469.74040186070198, 470.08099091934042, 470.74161467178749, 474.29488881143368, 474.76381234813238, 477.57344267014992, 477.62821266922651, 478.32336001997959, 479.02740842690173, 479.39108738083303, 479.91857602541165, 480.72092611037942, 482.65682094524567, 483.73060398523592, 486.50512009333812, 487.45701621405914, 489.93297775139729, 493.87290353312335, 495.41785519668775, 495.48285721734203, 495.50749494502639, 496.22042091959349, 497.18662751852958, 497.72218617021286, 498.72427508778009, 499.63780181872954, 501.34073777725695, 501.94718809974165, 504.29012011241036, 505.17670193413227, 505.87670056679889, 506.16142971281613, 507.76575344448088, 508.30261771650845, 508.85902154032379, 509.2958619164458, 510.60391328224478, 511.39917876341144, 511.49988113488172, 513.53895497791007, 515.70907642535201, 516.75843753466324, 517.06211951725356, 517.21384255380178, 517.82055558951549, 519.71380299341183, 520.4790118411471, 520.54209034341147, 520.80958179737922, 522.64578216165364, 522.75432380799543, 523.34261762907499, 524.2973232095153, 525.57959890970312, 527.75227598736171, 528.88358759047253, 529.27855048321283, 529.89446767996776, 530.14444835536619, 530.22625885231571, 531.63190102916803, 532.11393564224511, 532.26750114569234, 534.51751439169698, 535.04949457379234, 536.99405592623486, 537.72883638508858, 537.83404834041517, 537.94349359821615, 538.13993198640617, 538.89300946617232, 539.38517688593322, 539.51606446819233, 542.6587309259412, 542.89958526380155, 543.41493334633321, 546.65670739561983, 546.8772008780453, 548.09516390272665, 548.98001558852616, 549.76424864554986, 550.23784660014678, 550.64704891784356, 550.80251786413874, 550.8656474600283, 551.38255569743353, 552.19309246319517, 552.32254682146629, 552.63545367313054, 553.58659160471871, 555.23419652766563, 557.5479266905686, 558.47078278431263, 558.93772221572772, 559.53372048345227, 561.76806566721723, 563.69192002054763, 564.22799308192157, 564.43226715661865, 564.66117176077057, 565.73767678200124, 565.80957788791284, 566.39641618379744, 566.92608618521217, 568.06326547985566, 568.22134441645039, 568.28309180810697, 568.35451396212716, 568.49488527067706, 568.71204523400843, 568.9911285920881, 569.47211057444451, 570.32572229035634, 571.37623674459985, 572.3127214353201, 572.47208466240841, 575.22446601218019, 576.08081570576451, 576.1181225130515, 576.55580644007523, 576.57753323241502, 576.70200431382466, 576.93169243073135, 577.34864116214715, 577.64508916235104, 578.70953328757901, 580.35196409610307, 580.67104727125013, 582.76015835458259, 585.40085731696922, 587.83195309816529, 591.28841364749746, 591.67268615955163, 592.99152503590108, 593.01181428306256, 597.03289907342253, 597.49233923186569, 599.69401769122851, 600.27916522572946, 605.70433580773795, 606.04710981715209, 606.21414036384795, 606.48024847538238, 606.62137926551657, 608.56199433873098, 609.067327247496, 609.26796812356372, 610.91587188832705, 611.76354745237575, 612.99251791715301, 614.45832271764539, 615.12796572832121, 615.18545695173543, 615.82649166157967, 616.9749171179061, 617.19385903651983, 618.14076305174399, 618.60937585169108, 620.96868271038045, 621.93087162744109, 622.41458784795077, 623.19706540558263, 623.66321721660051, 624.43047729468287, 625.89381832787683, 626.07396773336347, 626.39183941338922, 626.48576031611617, 627.46827162754823, 629.67328174774298, 631.29420301040295, 633.8412054274753, 634.96601533326543, 636.30847968832938, 637.42474754808688, 638.53204526890454, 642.81130702000644, 643.06709690071602, 643.25406040114035, 644.81304371979877, 644.99689319974459, 646.92069413164756, 647.0710577260312, 649.0554497419497, 649.38278185305535, 649.82019127416584, 651.61742977155575, 652.28325876977851, 652.39071255750548, 652.72284726383657, 653.01415528811583, 653.15893354316574, 653.76646433956762, 654.39684759968713, 654.66003241766452, 657.35521806773227, 657.39283190192054, 658.44777647620253, 662.15260583122233, 664.4813370296348, 664.70313315598298, 665.12905302820047, 665.77984968059684, 666.1328059608046, 667.23139366710336, 667.97842400446882, 669.42797839868115, 670.52685101095472, 671.54771332403277, 671.63828889335582, 671.71560415009048, 672.58115222063293, 673.31733189928991, 676.12272940790308, 676.59068747513584, 677.25196126289484, 679.15765282457153, 679.21009344954825, 681.99374751304697, 683.50753708764864, 684.08474671195188, 684.97079004692262, 686.39673703416668, 688.23149952279061, 688.90520576809752, 688.97946032826565, 689.48478625139103, 689.72262543803151, 690.88653772031989, 691.08815184677337, 691.90785652821853, 691.98169104567296, 694.054898362161, 694.14043272443007, 694.55277832999707, 697.6178168747291, 698.00567067371844, 698.42297686636164, 698.72811529410808, 699.6328031368954, 700.148353947087, 701.68319062502337, 702.79839712973614, 703.34900726612943, 704.64826893774671, 705.25301554530768, 706.99877130951756, 707.31766312128718, 707.84606730657777, 708.8709439597161, 709.15418910635628, 710.8986976414526, 712.68382931826579, 713.63568172263763, 713.94833288257621, 714.21899663441582, 714.53053643215389, 714.6639254428809, 717.68245785373426, 719.55321417273399, 720.49193083460864, 720.965336112709, 721.34280703485081, 721.94823966134163, 722.74608748738046, 722.93877960220686, 723.0142399765864, 723.63567029201954, 727.0854920563288, 729.12744934664886, 729.27467097071064, 729.49971695177976, 729.60093385049925, 729.63755617927018, 731.22952718773081, 733.33566586311338, 733.96938578739798, 735.07777086113811, 735.54956946965922, 735.87203391636467, 737.03151594349572, 737.12068518651802, 738.40086103230112, 738.81878188512155, 739.46593406872989, 740.36870262008813, 741.98990617231948, 743.46769551970408, 743.60020984996368, 744.24078048956153, 744.42880434493236, 745.04589397628513, 746.1605896711668, 747.1250635471423, 748.40642680199153, 748.97396078852307, 749.3457536406064, 749.51448828018022, 749.82456444827096, 755.79751711463825, 757.76008441843123, 758.49725489015475, 759.91245844725711, 760.18895062970546, 761.5338318846749, 761.90511556154149, 763.79019644223752, 764.33054521626173, 765.56441327987, 766.08937621376435, 766.8648729766802, 767.28452462907262, 767.53429547769201, 767.6355913745283, 767.90672565771604, 768.28698721909961, 769.66039419680681, 770.3013882370492, 771.08274264714134, 771.33475836746834, 772.37204930545033, 773.49979342483959, 773.97496110554357, 774.3579876441205, 774.41813429057561, 775.89649517099951, 776.55333297311597, 776.71074139085044, 778.23269098738069, 778.31819725153252, 779.33316666035637, 779.44333538642263, 781.37654066303787, 781.65990742168481, 782.33716475020913, 782.40587475135897, 782.87613488018997, 782.9221551582898, 783.02861430696919, 784.48921344136158, 784.59015359502166, 786.30392810426474, 786.62766065417486, 789.16347805842759, 790.68948516758496, 790.81273061106106, 791.96228644479152, 793.43224299656765, 794.33949096920469, 795.59723336792194, 796.63109391706837, 796.68406768514546, 796.85052433443775, 797.65864807463959, 797.89169543074388, 798.57254862680111, 799.20445198599168, 799.53964657046629, 799.97222510195036, 800.04164088960249, 801.49454669324177, 801.65385184976515, 802.15947627830201, 802.33481892033785, 803.40080962613536, 803.44094226202537, 803.72160421070805, 803.96938623948063, 804.3318119953957, 804.49895116375035, 805.53402857580488, 806.61166120092878, 806.76303027343693, 806.79562799280984, 807.19219777191074, 807.37826356066773, 811.13516123119928, 811.23893979804348, 812.34892217466006, 812.83211083041317, 813.0630493024305, 813.22118696987582, 813.4537455944203, 813.81994263205934, 814.55988723974531, 814.67104975772713, 815.66054490366025, 817.87539601060621, 818.55145783992646, 819.28191694143595, 819.51966211098511, 826.09504335979989, 826.3328606163966, 830.27286656053229, 831.58816703810828, 833.13311951938101, 833.41031534794001, 833.83433451353631, 834.6229886807804, 836.00612813296505, 836.33277494143192, 836.42650799643502, 839.24199157296005, 840.85799261911575, 840.97274934007578, 842.37889670621018, 843.01999494818631, 844.97727658869587, 845.76423877713034, 846.73371560327519, 846.94725709606098, 847.75359182200748, 847.96270142980779, 848.69606658336534, 849.85592779188926, 850.13052424890736, 850.89449919010474, 851.80404195516019, 852.83396177526618, 853.41248094467869, 856.48566184271033, 856.54155072508479, 859.08127623523183, 859.61020724856769, 860.77980645465357, 861.28098283599331, 861.56031093815704, 863.73942168290785, 864.36070127590381, 865.37518166890163, 866.07122843182663, 867.74233414909077, 868.0394040515738, 869.91678534150276, 870.04536637335343, 870.95432384279923, 870.97569885504436, 871.4480285628382, 873.50887458715818, 874.7638657353998, 877.80457247778611, 878.82294196284397, 879.23724466141255, 880.22565908477077, 881.39807339693857, 882.46325412833494, 883.59739068543604, 884.25346237026179, 885.8868652229412, 889.62537206400373, 889.99843685080054, 890.95807293339919, 892.03500416459667, 893.78088313500302, 894.12560590394799, 894.27537132613918, 896.24889896278933, 899.28628371272396, 899.84413550335944, 900.28674745480794, 900.41512625928033, 902.7136793008641, 905.33398131189517, 906.35438564641356, 907.11274714426429, 907.39258933686278, 908.29498747246942, 909.55989780012624, 910.30690730686558, 912.88667479427249, 912.9129871251763, 913.33047092236279, 913.63311718537216, 914.01218638593184, 914.27411718541077, 915.77881880744894, 917.64387984736049, 917.79657524337199, 922.38312973588882, 923.73562222388841, 924.60384331488376, 926.83817294688197, 927.21107217351084, 927.66617011540791, 927.84738051319482, 930.89216639306653, 931.56776576411232, 932.24015050530681, 933.59072812762702, 933.84974801811427, 934.51841734993195, 935.34227364527032, 936.19913154377787, 937.34521093703029, 937.93521666944366, 939.39630738299684, 939.51761013359953, 939.74829518579691, 940.66006979574001, 943.36665559510777, 943.40252970050824, 944.02639741319558, 944.74384890112003, 944.81648620565102, 946.51581582366271, 946.66127460260407, 946.82988162979109, 947.14482386222448, 948.56120359110446, 949.26680188001092, 950.74304828769823, 951.49149717053047, 951.88622117246723, 954.09873606549229, 955.68767905266657, 958.45832424532239, 960.06839836219683, 962.57014751844076, 963.72453068717709, 964.40908331264154, 964.7193825894218, 965.5809635249459, 967.76512777048629, 968.19432268835089, 969.37651662181725, 969.67969592988243, 971.28559559836674, 972.25724790750257, 974.92869840610683, 975.47865999923044, 975.50494648772212, 975.99861869545623, 977.28802861610905, 980.57303893836411, 980.9097050259353, 982.76718371638844, 983.18466952419328, 984.02385627535853, 985.18912634566175, 987.85937673383773, 988.37011869133983, 988.81371214117848, 988.9300322976593, 990.54528541247839, 995.19359562837644, 995.94555206057623, 996.33016317870954, 997.0123165594058, 997.53564107918669, 997.70958933155464, 998.71404155566802, 999.6916173759364, 1000.6302610422181]),array([95.170383005750693, 96.054166210365466, 96.953441115269996, 99.232441063788315, 99.254678823595739, 99.917580694066231, 100.00031128111348, 100.88646887876142, 102.21595423124175, 102.38342604317165, 104.12279361482595, 104.47777741568193, 105.07006430468454, 105.78566353469247, 106.03816330657507, 106.84513454793817, 107.67779852926967, 110.22879220400262, 110.26811694936443, 110.81019427136712, 110.95030154441287, 112.04671373726407, 112.48250888932195, 113.00238263218814, 113.1366674806405, 113.71786647560313, 114.59299027436852, 116.29405301771997, 116.3423578473076, 117.08782618803409, 119.49260140072089, 120.51596238407498, 120.86769950368046, 122.17095641129551, 122.38034208285097, 123.0122035781923, 123.44864939697149, 124.67415255119735, 125.31972217929777, 126.21082378767018, 127.26426048942386, 128.32314871811275, 129.63513907011406, 129.77167765886546, 130.03041789685565, 131.59130187333039, 132.38653551023853, 132.63644841325782, 134.05000814470438, 136.36916359693765, 139.35660682591009, 139.86317695086666, 141.60733184238754, 141.97759950969427, 143.07165893535947, 143.71842189737544, 146.22407603967523, 146.9856825385649, 147.42402451465782, 148.00283764820605, 149.10369810186421, 149.34693301705244, 151.11341216320056, 151.59194065983692, 152.14837071225577, 152.30851082425721, 152.94842798338831, 153.60854243227897, 154.09320110140013, 155.85211753905895, 156.5789524361372, 157.44238536412999, 158.03961626770365, 158.74893611862493, 159.08257139276375, 159.46874600602229, 160.17479204369886, 161.72649846681881, 162.35145129575906, 163.62393070052718, 165.09065496150686, 168.73962298026771, 169.43393639232787, 170.69654663630382, 171.58896072130912, 172.64251845763189, 173.2296784019307, 173.26099132417153, 173.29712288724656, 178.19342315855755, 178.98092571123948, 179.15456406974593, 180.03911634451194, 180.33904828394455, 182.29621023669947, 182.41912779633694, 182.6629838398826, 183.11887277182294, 183.70041780675155, 184.08323959301384, 184.47234513210287, 184.64095537617686, 184.97177527483404, 185.9531114647767, 187.44107797015911, 189.77907916212368, 192.41123744178515, 192.73419831618929, 193.63310733459326, 194.04976137287699, 194.58629772849204, 194.66855323613541, 195.61526207747616, 196.02146500385277, 197.47312794451042, 198.57978673649089, 201.80254010435706, 202.01281458013017, 202.51634573579048, 202.84554074405111, 202.91524936285933, 203.15242273251764, 203.77926515033568, 204.37907803207929, 204.66930543843057, 207.56883938166359, 208.46587592812165, 210.59017431406639, 210.64785877326497, 211.25499931154326, 212.3940452863672, 212.46521192325906, 212.62395932729356, 213.56507529068219, 214.32239627642986, 215.93762690988274, 216.68159627205043, 216.89248701173264, 217.69715166769711, 218.45517668500239, 220.97960966254846, 221.57114925246313, 221.96576607221974, 222.19851888703903, 222.56106394412797, 224.34024074828707, 225.6787565902215, 226.59193965038284, 227.36496576053474, 229.54528799987597, 230.12048229171177, 232.22596185512057, 233.07836007836042, 233.1116097024466, 233.24949790398699, 235.17548408112535, 235.26378416603933, 236.05413244708095, 236.82807357642633, 237.60219087061375, 237.66940005118241, 238.85418579892058, 239.59097863745816, 241.48267334829239, 242.94790496570351, 246.16906676533526, 246.30144970642183, 246.56801869955052, 249.37143277637196, 251.57174688514871, 252.91297232116645, 252.96148221718269, 254.53373026140912, 255.23525980437023, 257.30895489151885, 257.45699644252909, 259.02420519363972, 261.51976497868748, 261.58416233463322, 262.79504355195957, 266.08307292111391, 266.36009354772403, 267.02163356338338, 268.63758737915288, 269.14407004612337, 269.17372485966365, 269.79879609707478, 270.11078613707991, 270.60069288306948, 272.45022968458221, 273.46613824582204, 273.57849815305599, 274.97503777695073, 275.52790035571377, 275.64991935794285, 276.15698468286217, 278.50531525920968, 279.74823176949144, 280.7656280373979, 281.71314495442459, 283.93603113087153, 288.90766136596477, 291.06198498826183, 291.09252947893788, 291.62510651078907, 295.21491885347803, 295.53250395182403, 296.18548893449361, 296.86640445596856, 297.31367507678107, 297.34889737067897, 298.4370393811725, 299.36153100141843, 299.6591925106755, 300.25658306964891, 302.34552479295877, 306.25358921883497, 306.61344059705198, 306.81797289559142, 306.99217965872867, 308.61969682010312, 312.79001114471527, 313.69182274286931, 313.79886320463913, 313.83377751085555, 314.35622085216215, 314.78686950355632, 315.62351762614179, 317.11664060967252, 317.22920692863357, 320.35799770022226, 321.25960177241541, 322.89136817126649, 324.36461781540044, 326.25933608578367, 328.06694347136607, 328.88970217145794, 329.0171455724992, 329.35430913319061, 329.43295286171099, 330.76113085363994, 331.14068638421168, 332.57024917525524, 333.17027476321175, 333.37330556832813, 335.32559181180835, 335.80776649774572, 336.02120597989358, 336.04509749881049, 337.53376985125971, 338.52493612874446, 338.87597518575484, 339.03111294343915, 341.2193334396095, 343.0022036027118, 344.26372989179794, 345.03050286770207, 346.35498053207004, 348.76321873577365, 350.00248957175654, 354.71092622287802, 356.39933526823415, 357.38981035283558, 357.43285692546112, 357.88170065682618, 358.09168428992763, 359.92526965919933, 362.74552861404851, 363.39485477298825, 363.69706764926565, 364.37858861411559, 367.13443787332227, 367.24815692440075, 368.21937601417318, 369.10629176681931, 370.00595306601849, 371.93007150860745, 372.57870858734924, 372.66744898505232, 376.12395951155918, 376.49630871000574, 377.81189119554983, 378.31092979116568, 378.89429459155775, 379.639808223351, 380.02982709845872, 380.21450077242946, 383.66967929811477, 388.02890279280359, 390.45993229980735, 391.34017126029869, 391.38714351256533, 391.60259972999745, 391.74840286245353, 393.11052539214029, 393.32082821364884, 393.96857364472345, 394.49177156679508, 396.42650769872296, 396.54882717202895, 397.26135277588293, 397.71693602568251, 397.78035603371723, 398.49622160460103, 399.93646234969282, 401.22821280940138, 401.46795262029724, 403.4038736149472, 404.03372297069234, 405.53262040172967, 409.06992559948827, 412.43192047031033, 412.80598620260577, 414.65025556491508, 414.67991941314733, 416.07088590136419, 416.25470447432184, 417.31070295211219, 417.90316751837099, 420.36735737899579, 421.6379719693457, 421.81639511099939, 424.50745610361935, 424.79236781814808, 428.03007147516468, 428.34090111261139, 429.09049020028959, 429.2984470736281, 431.05802319882207, 434.19409777754174, 436.61939549572054, 439.25347925591774, 439.78358323388494, 440.13067068713428, 440.37847121361023, 442.32845376420312, 443.01943855784106, 444.22352345179542, 447.61238546905349, 447.9757672298054, 448.34624048561943, 449.49853711188553, 450.41965430520452, 450.51010140297331, 450.67469692645125, 450.82244989463345, 451.0479096039486, 451.88967998349744, 454.60888981013778, 454.84266520106689, 456.33941754626869, 458.25496284025297, 458.52548204858545, 458.77403662306966, 459.01800246111566, 459.78659916464164, 460.10635979804243, 460.7127223712086, 461.84996943364195, 462.44233912614311, 462.52604483875302, 463.44630512648115, 464.13291861804964, 466.1749882480384, 466.87418245632307, 467.00059751745732, 468.36677971888662, 469.35508864917421, 469.50275934385223, 469.53796865266133, 470.5845979982119, 470.71043685507021, 472.93931584246627, 473.15816237703035, 474.83357353139479, 475.08958901318141, 476.00516043955702, 476.51655965196227, 476.92618017606634, 478.68915951388834, 481.62737194869686, 482.86725888234844, 484.35174940464969, 484.68132417659263, 485.20524902279828, 485.65107414488466, 486.2360149698697, 486.30460725457152, 486.47616738727532, 487.34774742627081, 487.47488763900975, 487.59433934909879, 488.08433915052274, 488.2531534228757, 488.56407630192439, 489.55420871585034, 489.87732731899399, 490.42318277439239, 491.92620195224924, 493.89274279774799, 494.08354949279072, 494.59678487297055, 494.79771420025423, 495.34494571465092, 496.20618905933128, 497.17358955755111, 499.32541184740091, 499.91314367175823, 500.63919631920476, 501.88146000496499, 504.98603782074258, 507.56226994637643, 508.74095682144514, 508.77362766639845, 511.92756597784364, 513.48807022593667, 513.85117764137146, 515.79104849661678, 515.93517178974071, 518.79240426655042, 519.67592940936288, 519.91392317507359, 522.09193065255181, 522.88870037011441, 523.75826175030352, 524.2429861897258, 525.53023684876416, 527.03916276692769, 527.06022041049846, 527.09048542818289, 527.6074276726232, 528.11541461039508, 528.43887694350462, 529.79006049820998, 530.23647609194404, 531.17737193675225, 532.48341468226045, 532.71584107966953, 532.9612349881703, 533.46198675647486, 534.39620647301547, 534.6206761742169, 534.75700417488054, 535.09488887097018, 535.56066366437028, 535.95069632944478, 536.42610860777484, 536.65847135387833, 537.73225559341563, 537.80210369673921, 538.25465475261285, 539.96879678041296, 540.45410781210853, 544.96950603805226, 545.25820936373509, 545.70482926677016, 546.83908266136939, 547.71632528393388, 551.03621903484543, 551.1366145118244, 552.08116360869019, 552.57939326979488, 552.98773690926407, 553.5556764590533, 555.9707375136619, 559.10253791767798, 559.9489516133483, 561.50011184901552, 562.67053948275895, 566.11307063233039, 566.17167696079366, 566.47410909541532, 567.01841449073379, 567.99916864393981, 569.52310892377102, 570.08658673521131, 571.25492165034882, 572.617440600176, 573.01081080363144, 573.30543855435485, 573.41222387281778, 573.45653418134748, 575.11941467928364, 575.33095514174852, 575.4767593467883, 575.52657718285298, 577.26406685691722, 578.26472003545325, 579.2378770317481, 580.34755204983969, 582.19474585371859, 582.7616656027933, 582.93357578002599, 590.36447530979785, 591.07728138484981, 593.98700385899099, 594.4354786881089, 594.60817444961492, 595.35371143236944, 596.34971560558949, 597.37334522025878, 599.54821857691513, 600.16282908008293, 601.43381632730859, 603.56538848720231, 604.26843248031412, 604.95558741938839, 605.10536200637694, 607.28631823103194, 607.70376968182666, 608.82034075433478, 611.10365286788385, 611.58397147637731, 613.08236830858903, 613.14375942814593, 614.20116493518151, 615.1086830437639, 616.210133483547, 617.26605782259116, 619.36145125465021, 620.22745537703668, 620.46113176052995, 620.74051915629957, 621.53594278193054, 621.70853576845411, 626.13424840130222, 629.93947972566707, 630.74599769392353, 631.5167250966291, 632.10355993865164, 633.04474379270982, 635.26377636384336, 637.741054080916, 638.5558678005799, 638.7192438883468, 638.75814569106524, 639.49771218772423, 640.39018049332981, 642.29150913681326, 642.49266635197091, 642.70452119064623, 642.95267697323823, 643.16826136672455, 643.28716519141904, 644.25413778416487, 644.78748166911259, 645.10677158015108, 645.64549334458923, 646.88881025144372, 647.11541682333279, 647.38097332124653, 649.7996469664231, 649.83345667794492, 650.55327438224276, 650.86136483149835, 651.36812377316869, 651.88017066420718, 653.44310485324877, 653.73676955088183, 653.90959124487836, 654.66160600411388, 654.99736851902651, 655.35104816950627, 655.715303288256, 655.79174974734224, 656.38362256694165, 657.6646328286912, 658.93427572016367, 660.13244374645853, 660.26571355106876, 661.68141195231738, 662.81524747733999, 664.37153830706211, 664.84790704386319, 665.26479325489834, 667.203948009236, 667.34940944693449, 670.10224333366557, 670.26479056375751, 670.4783290908299, 671.3009313534825, 673.50662700795078, 675.38117479516563, 675.63572242316457, 676.11726601973589, 677.09028475548632, 677.34438633257741, 677.99554931004172, 678.84205593674483, 679.91452973153889, 680.37780144093153, 683.75638712341629, 686.17888964695794, 686.85593150212185, 687.37902866451066, 690.07799837144751, 691.04886749880643, 691.4445707202234, 691.65082379254966, 691.74252867917039, 693.37936119396443, 693.4665232992877, 695.22075186675181, 696.83733964773774, 697.22210404310272, 697.66552104663288, 698.28142249763039, 699.57029265921733, 699.9667896316472, 700.77647555440444, 701.34119660174883, 702.22686443816644, 702.52133960766389, 703.66318170072441, 705.6128229938314, 706.36113341818907, 708.50626620948253, 708.66019658724861, 712.1301929318887, 713.17253927205752, 713.58151194103846, 714.01959633236015, 715.32644477393933, 716.00696250335886, 716.08908883233585, 716.97118475438936, 721.40136151824549, 722.17754388917911, 722.69712109661305, 723.41930309035263, 724.43137893387302, 724.51366479594094, 724.55939348056575, 725.82433975968263, 727.03462445127502, 727.17677172842389, 727.81188945889005, 729.03031572430825, 735.07270433377482, 735.94604670298486, 736.03012038724307, 736.61746181578974, 737.28756355581629, 738.72538990742328, 738.75470035467549, 741.72369787395837, 743.73246437342323, 744.47536431508547, 744.93237693215167, 746.76250791646157, 748.00275332284366, 748.51924476206796, 750.68038661394075, 752.79938474472897, 752.87888563469107, 753.37534087200595, 753.44308353428141, 755.73955352174698, 758.42639821258092, 758.49878767334883, 759.05317788408888, 759.2479163383332, 760.04807164249712, 763.7790602978215, 765.08860612590593, 765.3801348708887, 766.90678694658357, 768.65795899973091, 768.97746907930832, 769.3105105550909, 770.62445378676193, 771.03555191414239, 771.17118889388792, 771.7670630122559, 771.97487761710488, 773.98120510956142, 774.10992362292029, 774.37810002477238, 775.80754058233083, 776.94894677570744, 777.87746108632416, 778.70457062180969, 779.30699854800321, 779.37966343808682, 781.06768510976917, 781.57106007692414, 782.66103847458692, 783.19665907719161, 783.93609606149516, 785.97028514495526, 786.51250900231207, 787.33697360294536, 787.47503912216223, 787.57572007223553, 790.6926481899211, 791.45278472885047, 791.86214567532443, 792.08408383376172, 794.32288783245872, 794.38617294588823, 795.40109328452206, 799.55340185619571, 800.11464016297157, 800.7601596222429, 802.14712099565122, 802.89298750149453, 803.19333360599171, 803.27145848322994, 803.87099687495163, 804.07962120153536, 804.30835544003378, 804.66524416903985, 805.4508031248738, 805.68485052895608, 807.11152973008825, 809.70996192997279, 811.03857800814114, 811.54645246621396, 812.85021220676265, 814.94880383459349, 815.4765290787484, 817.10268059054295, 817.69501286756179, 818.4491229292147, 819.66061371266369, 820.68302898468426, 821.89670729132069, 822.16540784843528, 822.77656318278196, 825.0594913735232, 825.17621975866962, 825.26218958563788, 825.54840507543588, 825.60520442623761, 825.89730456724533, 825.9917634298871, 826.67080259735133, 827.79875481234171, 829.14914116000568, 829.62718014945756, 830.57037209094608, 831.77840354081343, 832.5128500787398, 832.55832856366271, 833.00302361221657, 833.33796709850844, 836.16190216204166, 836.6999685506687, 838.30623379118936, 838.70528236969221, 838.91411177088889, 841.35652034867769, 841.44670170986842, 841.83176875063077, 841.94237229721762, 843.0943264515962, 843.73991528771967, 847.68498573517832, 848.74404640231012, 848.89913555754197, 850.31355980026763, 851.66112382872359, 851.95122668529859, 854.45144441979812, 854.77329134337947, 855.55333556424512, 856.68486763969781, 857.18936636853675, 858.37938615214387, 861.3349886213731, 861.44323556287782, 861.79636972874266, 862.93904224797211, 865.12954162680114, 865.19536706864119, 867.16856483948368, 868.16545396715355, 869.67968649772479, 874.36620515081802, 874.70432663804013, 876.38045465515734, 880.07350123287074, 881.02646382817773, 883.57188117727594, 883.89128387839514, 884.69060341937904, 886.21403582316361, 888.64729559467958, 889.22998992017438, 894.10868142130312, 895.93579021326229, 896.56163600745776, 896.65291693643849, 896.88465936198111, 898.22526716334096, 901.30424718197071, 903.22616833330312, 904.59404559128404, 907.13604842187863, 907.94683702629754, 911.04367695623671, 913.10728937071929, 913.25319164590769, 914.35877114029154, 914.50312608169304, 915.33461626989094, 916.25131276377533, 916.45285408496363, 917.07350597566028, 917.48042232618025, 918.47470337754771, 918.94388522203417, 919.74037926199264, 919.87098191998166, 922.10967369674927, 922.33977067318813, 923.05213079068619, 924.9159839191293, 925.40101484283741, 927.44471359855038, 928.49674310769353, 928.90321686874768, 928.93289812181285, 929.08122201336835, 929.72984533449528, 930.53444018893038, 932.17449713794451, 932.39450518041917, 934.65913252310008, 938.30204353632325, 939.38532519179569, 941.51028455696678, 942.7345620913735, 943.74095539048346, 946.20612731764663, 946.42716438695697, 946.45018176001088, 946.51325223101719, 946.5469826736304, 948.00362008256195, 948.38345490767801, 949.60033639001585, 951.13636109773097, 952.29387892408431, 952.84293693243978, 953.0101560412204, 953.25174386933475, 953.87823802505341, 954.10368878200529, 954.54563532853433, 955.06565205754998, 956.73904979716406, 957.45748853356417, 957.82822792102093, 957.88487388160536, 958.63021013501452, 959.24935491391193, 959.94566574478802, 960.71772216040483, 961.35862128387612, 961.73098525137493, 962.69701232953855, 963.57851818636959, 963.95802899548517, 964.34927143018558, 966.99989787422214, 967.11096268121355, 970.67137583639635, 971.21448733589784, 971.9584704157802, 974.929540182604, 975.15905505119429, 975.43433219582857, 976.6718641460543, 978.7163591057398, 980.89563219657907, 981.11361679227423, 981.65924648753003, 981.87702555087549, 983.22837879012002, 983.84055931959585, 986.25405975600643, 986.46036138201737, 986.53630603379611, 988.31839936890071, 988.8434238343325, 990.11611604092809, 992.48798341218435, 992.72326674575004, 993.16780994873557, 993.26018160870194, 997.50468670340592, 998.45365729524008, 998.54452757416584, 998.60071709785484, 999.19317995101869, 1002.1201104568587]),array([40.718890332298642, 40.873255096165991, 41.106816526775077, 41.673721133231332, 41.770463060413228, 43.734292481048911, 45.471127904614256, 47.250868651392636, 49.150187097002529, 49.668955546075537, 50.680141647846803, 50.771192099853245, 51.39500320822394, 52.375042918790491, 57.565563845571035, 58.736127234139119, 61.386367201789817, 61.967340232963494, 62.459311886857812, 64.247970378177897, 64.329635182408254, 68.78274441573798, 74.450412923278108, 75.2387328529679, 78.696361541195188, 78.895188790191426, 79.578008373876131, 81.432555145047886, 82.011860080803402, 82.576905543512609, 82.987914236570674, 83.505270041214487, 83.602057621265502, 84.165526308640423, 84.268053871400085, 88.338858165849345, 88.441437584333556, 89.641743911021152, 90.322930462100231, 91.03505589331364, 91.492265356300877, 94.644432645640336, 96.814618695066031, 97.040823415832591, 97.276605954061765, 97.544547494675129, 98.02263943940234, 98.624039309905385, 98.825482833673902, 99.206101045309566, 99.621493703539201, 99.860960532171703, 100.29856031462155, 101.67717478853488, 102.43953821349156, 105.53740971096177, 106.95422275957559, 108.05280745565445, 108.97309944159929, 109.20580676781223, 109.23389476387635, 111.02302762450745, 111.95895089547905, 112.74494862286417, 112.95092864543949, 113.73257329036176, 113.86533857640863, 114.3061646399878, 114.88795951150597, 115.79029202458372, 116.01104325767243, 118.82126116302902, 119.63609329292937, 120.9239915913482, 121.28546502169114, 122.42308610914907, 123.15513514028254, 124.50898540213205, 125.23971776201468, 125.33242574356855, 126.21441647581013, 127.45469185917415, 128.66392576222373, 129.25252997013826, 132.73869827714975, 133.8293971991128, 134.53688762740248, 134.59662780096721, 137.13898983845672, 137.70608998559126, 137.78937997536738, 142.12352352759643, 144.87667260721193, 145.20701627315248, 147.35302366073913, 147.96617629041774, 150.97835096712203, 153.29682269785306, 154.85162402838043, 155.20670451808624, 155.65367115637611, 156.5899397987323, 156.62741460890186, 156.92082677068015, 157.39098605373925, 158.30448034150038, 158.60361870194512, 159.42511368288308, 161.340613066759, 162.99306305343777, 163.01859452878753, 164.7358708605469, 169.90138059675363, 170.99736545446441, 172.38875362291617, 172.99059572361929, 173.12275965150505, 174.52674415663981, 178.27516736278304, 178.79802170816126, 179.84047311455777, 180.64556463707089, 181.44539547021634, 182.57294607727877, 183.00848374484525, 183.64631632561048, 184.30204113752367, 185.94053170356113, 186.77156972618991, 188.49120610856258, 188.59944772227234, 189.00242555086257, 190.38149479969874, 190.40223544983311, 190.60047043362295, 190.89488951345584, 192.8419459677674, 195.26502663654969, 195.42120824976016, 196.2536764237048, 196.635064627784, 198.05679767452099, 198.69990317243094, 199.64173607262038, 199.88345339789225, 201.23296553315237, 202.84026930039798, 204.38801497941191, 204.55167502682781, 204.74900850913133, 205.41400430868214, 207.09195769713122, 207.87076515512257, 208.29788912880429, 209.50385876644785, 212.10014869012852, 212.25000972648138, 212.86939460967332, 213.24110011096096, 214.39445317236985, 214.72153432814113, 215.89189237057093, 216.55852350304025, 216.70269899181997, 217.21901849292414, 217.88270972496755, 218.78743664984387, 218.97000352748285, 219.23286288834879, 219.5348126093912, 219.81428322285575, 220.30057470285726, 220.82518068913751, 222.43977545548626, 224.76326306514216, 226.30063840184354, 226.46393471628997, 228.5675895823602, 228.98864659977474, 229.07123054088214, 231.08572817000544, 231.39587496337833, 233.98056665925648, 234.00718982070453, 235.18734877314583, 235.76263537593829, 237.71781872029493, 238.55785061659094, 238.73933484912365, 239.66364656190436, 240.44094492021287, 240.9974332813978, 243.30076224819777, 244.18573294724365, 244.85448821450211, 245.37157733831702, 245.95481125784102, 246.69580129296307, 248.02700331326525, 248.82316150076483, 249.003509559462, 249.51891000638264, 250.87189138307113, 251.95632740771299, 256.32351812323014, 257.3917113642699, 258.87002643818857, 261.1707048087527, 261.33672820943434, 261.45338638187377, 263.67195795593005, 266.78259059903183, 268.05829380593963, 269.13471657376829, 269.32594532738574, 269.62920480913675, 272.09314654692838, 272.76994463936586, 273.46355651239276, 275.58672303249665, 277.84520146501137, 278.79487278366281, 281.50712127556858, 281.56087755352263, 283.81433188060504, 284.5183716469578, 284.55615132536644, 285.39148152388691, 286.21777650429357, 287.99247014602832, 289.0107999672573, 290.77729933357989, 291.39645783024088, 291.7476109063258, 292.32370978762481, 292.84482981193992, 293.63259284819594, 293.80877226864663, 294.60154161289631, 296.14305183687139, 297.02728701248657, 297.32687408728128, 299.10578258145057, 299.19068001058122, 299.36341146974917, 299.57827315325488, 300.49224885721731, 301.89892167041603, 302.28315765678792, 304.20065362509132, 304.6688984750167, 306.57706996354716, 307.99754994271285, 308.32062461341354, 309.17050761116712, 310.68946782568173, 310.94180254000582, 310.99936122041754, 312.412880515967, 313.22847439884532, 313.56303459562156, 313.71086173798426, 314.71530450528729, 315.50506021685925, 316.51005983524681, 317.92967664051815, 317.99410683533824, 320.27599798665818, 320.91736523920974, 322.29052785558349, 323.70021948758983, 323.86456009257535, 324.37213493319763, 325.65725381524686, 325.7533065378222, 325.81810536443783, 328.63556453798577, 329.18931120593413, 329.28391121794874, 330.40125029841437, 331.6171401923072, 332.45694309646342, 333.04139396949722, 334.28628298706087, 336.68468146926648, 337.3509317132191, 337.39375228711765, 338.32074340134369, 338.90482695914363, 339.02155357491085, 340.35585169521983, 341.70502923895401, 341.85789676403306, 342.91562923746886, 343.94847932334483, 344.164628235892, 344.20440831777006, 345.64776179292062, 345.80700855034371, 347.42761924139177, 347.97361079786589, 349.80735301401427, 349.99008487428898, 352.32899592667638, 352.54804488114536, 353.20713901120905, 353.42969582737169, 353.64992470673639, 354.79674788302674, 358.7138458440163, 358.75339168812991, 358.97063822564053, 360.42403140793789, 360.71196559934094, 362.00674214754883, 363.64354932640276, 365.23991745259133, 366.24001902392172, 369.43122051851952, 370.55739817853646, 371.64318708833946, 373.15143717695241, 374.0245032081458, 374.45344080799481, 374.55055114394446, 377.26917415726496, 377.94557279915523, 378.99996229003534, 379.0672394942174, 380.79909627172674, 381.37231907230421, 382.23385857893209, 383.06082824207323, 383.49613947840368, 384.13019121909423, 386.93463971736679, 387.25196005573918, 387.58087568185812, 388.94254193943829, 389.65485167433008, 390.30725984326438, 392.01214759487129, 393.28771042274485, 394.82616890900238, 395.49723152342187, 395.85815946483945, 396.5741784375623, 397.46113729233446, 397.63434731702552, 398.43368307104367, 399.34575922139663, 400.39942426159524, 400.5775183029113, 401.02797516662656, 401.57281677110888, 402.25013730255972, 403.59630279694386, 406.74365907215525, 407.80917772357094, 411.20117187416133, 411.26750772119743, 412.13604453387893, 412.41965273706137, 412.9430841286387, 413.77446222015476, 415.55770941174478, 415.72159697316488, 416.01054144720013, 416.8289569450165, 417.29133062485823, 418.28966076287918, 418.48776442934047, 419.36101352229934, 419.64793565052372, 421.42657042054105, 423.28618725666604, 424.77480707075716, 426.73150679260203, 427.04334794793471, 430.2802937419878, 430.51048164534944, 430.95541654544587, 431.23028662005123, 433.59173517772894, 434.83449749022742, 438.4576298623731, 438.71338762486528, 438.79081658975844, 439.35508022838923, 441.83627461451226, 442.77596239977811, 445.56540118855702, 445.72911774734104, 446.42925680336123, 447.87936679627637, 451.09124883183677, 452.29201571721529, 454.1541897296928, 454.91761622243109, 454.94757748859502, 455.64889691297469, 456.33001347426716, 459.33155639812088, 459.37349291935266, 461.78925682753299, 462.78141168138239, 464.579343895139, 465.1824319687002, 465.83489020113689, 466.33749199313598, 466.43843004618248, 466.59594657041492, 468.00106084133097, 468.21945217366385, 468.49493463276184, 469.76516961310284, 470.14578233270936, 470.90216538156938, 471.94734709680392, 472.11750404593602, 473.41585818828662, 473.54195945695301, 473.96923350458059, 475.22836132609706, 476.06383041393906, 477.65160843787959, 479.55518897721504, 479.74943741001528, 480.90995598169025, 482.66406769766974, 482.77674092983563, 486.84820168370686, 487.66136753301942, 489.4140317520218, 490.48726363422281, 492.19021097978356, 492.55582916318548, 492.94655553569055, 493.83435017054109, 494.64436151660203, 495.72189378321207, 497.2858212729567, 497.90985667987775, 499.27704842384929, 500.44267462792664, 501.20638167669722, 503.30586172499983, 506.33354530835447, 506.55413938753384, 507.36171587778813, 507.85141563968438, 508.94907549950972, 508.99208425479475, 509.0811809460202, 511.65530194869405, 512.06810293901663, 512.47861364558389, 515.84738708795373, 516.96518341137778, 517.40504818402462, 519.20589763958696, 520.19756318227655, 521.2803224151387, 522.26905418940964, 523.81458918550493, 524.18775941096078, 525.06928412430511, 525.98594675942547, 527.04983729993262, 528.45513000854976, 528.9392313365604, 531.26247234627078, 532.56595842309014, 532.85366753617188, 536.6863488384887, 536.70900831305244, 536.98716482474913, 537.37981860248806, 537.97434338911967, 538.08488672555018, 538.16652709620735, 540.4886504392714, 541.59826825005803, 542.01793107745812, 542.12799042216704, 542.28350973603438, 542.56248526727666, 544.14700881565921, 545.62197182665682, 546.09537375222385, 549.25915157351108, 550.66460754279206, 551.53783871848816, 552.44784232776885, 553.26999332286312, 555.03865858265397, 555.50099457687998, 556.21581547135929, 556.63850024930048, 557.58422371644826, 558.04497942664193, 560.48205590648286, 560.96479475067429, 561.47406272300088, 562.51957665501072, 563.98536695831035, 565.58475601904036, 566.58901008157818, 570.20885608148467, 570.31993333892819, 571.55858913117322, 574.90631117911323, 575.58782022392234, 577.77044037884218, 579.84774649443193, 582.06463817167969, 582.44477443285314, 584.25331934368808, 586.54021455951943, 587.1414279867281, 587.91951846133509, 588.46920682200789, 589.03913536476205, 590.23219417883706, 590.97917566709634, 592.48128228178473, 593.19149605285997, 594.23510303548142, 594.72200983261496, 595.83746364954175, 597.76877873538319, 598.36496487049385, 598.60902118899617, 600.83379051623933, 601.49842746231582, 601.66978860919073, 602.03579925052998, 602.81890553918345, 602.99443984603056, 603.91974096633282, 604.43546441496505, 605.73367304444935, 606.86031631833987, 607.62232903865572, 609.3844777149759, 609.95847783585521, 610.06161733185218, 610.16716216405086, 610.82850001815075, 611.98978360651881, 612.14310180160976, 612.85556046705585, 614.25343002255818, 615.36090472378271, 616.9176528976916, 617.34697589151574, 618.16698579598267, 619.01566979753682, 619.46167274530296, 619.55850965612819, 620.00328016056505, 620.40709436573547, 620.8640855960075, 621.12738652451981, 622.0829455533293, 622.14924422153888, 622.66476795802259, 623.34712898508985, 624.07718309268819, 624.92695346705943, 624.96602062789214, 625.50627141480527, 625.66743977410408, 626.51497785113918, 627.62154682371613, 629.154476104997, 630.06763654793713, 630.09606844685868, 630.45458019579917, 630.73716415662761, 631.46572135668623, 632.46212894254427, 633.844407470992, 633.88850823165774, 634.36831642121115, 637.12286650509168, 638.02320950710293, 641.74958761448841, 642.12722322146851, 642.19360925194064, 642.72132942431642, 643.00189104132789, 643.47534478076716, 644.00617196593453, 646.06217285041635, 646.60216028564162, 648.8024011001794, 649.84900830009042, 650.00804501143887, 652.05614931802086, 652.64096982789988, 653.59655458224768, 654.00892155380154, 655.53744661276357, 657.15064594036687, 657.64817233077713, 658.3812739861047, 660.15854187500463, 666.00746710049316, 666.94828162330009, 669.59174088498298, 670.70807414799106, 671.91280348739929, 672.29017143536043, 672.36762027843747, 675.55912542925216, 677.5713825360973, 678.82242751829597, 679.70360134131636, 680.15049680061747, 681.08568776451921, 681.36639023036139, 683.16686729635433, 685.11759769415278, 685.31756113732501, 686.22733022554507, 690.4589730711391, 691.15088412892703, 692.42174290158039, 693.57912826364964, 695.06266540505283, 695.36695851535683, 695.73503285725144, 695.93981941838945, 696.73635769170573, 697.55701298165741, 697.97391022023817, 699.13297946906687, 699.39355454349584, 699.95261528755043, 700.43375856258854, 701.0239887692743, 701.4917635212214, 702.24616280775535, 702.30168349060818, 702.97514138983445, 703.85838435245034, 703.96292187906147, 703.99559472064084, 708.87122957127394, 709.64452290393388, 710.65589332439345, 712.37182479190972, 712.72282881467754, 713.16689016978694, 713.73747002924927, 713.76244406091689, 714.28480222260373, 714.72362031929742, 714.92286696228621, 717.11453177131716, 717.16778952958896, 718.4577612358097, 718.96586348799792, 720.38826517885616, 720.77264446537151, 720.86811505919843, 722.06923939263027, 726.42839649147288, 727.23948248997544, 728.98317903566272, 729.05492289545441, 729.35161936540453, 730.03752858813948, 732.10824864533686, 732.73844581707226, 733.14916243099583, 733.22672339673341, 733.86832374676419, 734.77230749587329, 735.46830455576708, 736.37455996933556, 736.67452805068888, 737.76597490368999, 738.07916874019043, 739.03964502881104, 739.32518219596636, 742.73623494245203, 743.17239581228159, 743.72116691488577, 744.90680938709977, 745.28486363802699, 746.50051431685961, 746.88490028276044, 748.67403724063342, 749.20556194643234, 752.07461718587331, 754.11353413080053, 754.82253798778743, 755.39434257683502, 755.9218412777193, 760.08313342414408, 760.97121350206191, 761.21314182153117, 763.6438490947919, 764.2366049981415, 764.40541741381196, 765.39270676914191, 766.18149716727817, 767.07433665282861, 767.24287117859501, 768.24005511344978, 768.89455442755798, 769.69930753309768, 770.18726955804175, 771.09479031463195, 771.26009597187726, 771.37888347373803, 775.03032521700391, 777.01003158747358, 779.20163222635347, 780.06824075384168, 780.2344668112662, 780.60406500107774, 786.13458041887748, 786.62136180716675, 788.81977807146404, 789.0314145789481, 790.97935368220885, 792.61486751736106, 792.63942488345072, 792.89018630067255, 793.00590018155538, 793.44579260337173, 795.21348292438211, 795.51757777662442, 796.51535855609416, 796.9065856333475, 800.12324979645007, 801.04385437420956, 801.46164667610537, 802.37770478429638, 802.47689808976872, 802.5321723712118, 802.60899822035731, 802.85311655393002, 803.56841683092603, 805.29178889710943, 805.54202193780111, 806.28817749582618, 806.57171873223729, 806.99321909603236, 809.93753768304498, 810.21438023102678, 812.6922600451544, 813.3567671981981, 813.56890906236617, 815.41706486493456, 815.48261067793919, 816.52159878110911, 817.40948224245278, 818.92633864910738, 820.66733715750684, 821.20438821453547, 821.54880938323743, 822.10820045204571, 822.45895721654585, 822.79000408441414, 825.91213792454653, 826.77521314574915, 826.88139181003828, 827.25544579174243, 827.55319497098242, 828.61011875094505, 829.79688252996073, 830.47425734432954, 830.60855562612835, 834.23179704061204, 835.59794133443881, 836.2705241766572, 836.92697336423146, 837.4132445344577, 838.45869078302042, 838.55957467685448, 839.24381653842386, 839.91825727552873, 839.97700314878227, 840.16957474925584, 840.7416465448797, 841.37706987838271, 841.68071317767658, 841.72144388880156, 843.08265952096315, 843.95024800549675, 846.06405314117285, 851.04803762696235, 851.32792107569048, 851.69532627694093, 854.04302454364358, 855.15841184057069, 856.75413127703041, 856.77991827305857, 858.80337800997256, 859.00821111573555, 859.56052921626781, 859.75292275546167, 859.93210721831053, 860.90418681939184, 861.33488628835107, 861.79387254417702, 864.22659110067787, 864.72907129568296, 865.27621275833724, 869.78941841865185, 870.50875509704565, 871.87006162852515, 872.16768090396681, 872.4446219493642, 874.32721949673999, 875.25438349033686, 875.40346359974558, 879.66957926574605, 883.68212186582923, 884.15517601620968, 885.78146892096015, 888.63122509900847, 889.06203897991156, 889.72315595315752, 890.00195968565538, 890.22195325999098, 890.598120039327, 891.36868511050943, 892.75193757899558, 895.4038735372726, 895.83190191975814, 899.72031459849006, 900.71962955834044, 901.58041486908076, 903.04326367002886, 903.4962198679458, 905.53053523487245, 908.78819576592798, 909.0966039542916, 909.83627239330713, 910.32035059846976, 912.69793413132527, 915.24449087688731, 915.53461439945954, 915.58401353991235, 917.31734831358403, 918.45058004736813, 918.52619396734258, 918.80072536424223, 919.93498861396449, 922.57266430285358, 922.60446093959956, 923.26867153778505, 924.6576373564443, 924.73177491338777, 927.01405497508335, 927.76538131986842, 928.54692158955004, 928.68380740341581, 930.15711999092252, 935.61476892763631, 936.76397267632353, 937.18931609477875, 939.40263352793795, 940.34383290186634, 940.88684382184658, 941.29745523894007, 944.37272728740436, 944.56838509142631, 945.03339465387671, 946.14168777672342, 946.77614518293592, 947.35128983526408, 948.35458507184296, 950.67222537811358, 951.54645150969509, 952.20965768909014, 953.00268571787899, 953.96973482014619, 955.95658613656519, 956.51849876057292, 957.88646859534117, 960.84696212203914, 961.21289646151911, 964.05494295595759, 964.79149169346556, 964.88297337627534, 965.19359254930782, 966.09727266209666, 966.62439767651142, 968.15177245678387, 969.13208320054093, 969.88561728327102, 970.93672704090534, 973.08749381477571, 973.58596681467145, 974.53595898599156, 974.63535701648516, 975.31201237936261, 976.51029720326176, 977.45144805591315, 979.17370200106336, 980.43397264566613, 980.58901155882734, 980.90109799003858, 981.47045351417057, 983.49812554631717, 984.4760331399865, 986.19661135627825, 988.46778420419946, 988.74969796532048, 989.15181945623726, 989.8635053114516, 990.48544360662129, 990.89594679616346, 992.92143391725244, 993.47244343293187, 994.17150499355114, 994.95162906852647, 995.10486090260463, 995.3291972006424, 996.70855628692254, 996.8057002915034, 996.95913033196871, 998.36153970018336, 999.08181724023518, 999.12042676414478, 1001.0901517718905]),array([31.658387547265519, 31.728592390011521, 32.261141275274795, 32.896844726653647, 33.587692069646067, 33.637550855097459, 35.18258141443566, 35.27132778023465, 36.068693448645867, 41.968229621364621, 43.041137389364138, 48.177739439735518, 48.67429833872712, 49.682489821263339, 51.054308268639943, 51.198481542994138, 51.220435025969508, 51.714394955266663, 52.873404301034704, 54.296145436112376, 54.523101076914799, 54.977056513454073, 55.865450140905672, 56.86585882830046, 57.351996283245128, 57.697944819279812, 57.742897552029838, 58.686074654590769, 59.03989064797728, 59.573909847889105, 60.906788380767743, 61.316546563287488, 61.494447976223093, 61.778101409873351, 62.55332986155976, 64.38931280962548, 65.937481258720126, 67.301726030259289, 67.388597067014331, 70.849047869381565, 71.985883055370863, 72.640583283169889, 72.84335030736689, 74.306183401866988, 74.365689196564745, 74.499141372590714, 75.394065941597887, 76.46848695651471, 78.173023078449759, 79.677892386860165, 79.848027211795625, 80.224687019524993, 80.402137406316911, 81.800445208627465, 82.088222345559316, 82.116170932318852, 82.322815873766871, 82.925217006270444, 83.762743588518887, 84.169302441138512, 86.726294358196427, 87.274357002166056, 88.452381368105591, 91.284005182600751, 93.74756285977989, 93.802238869326658, 94.278157529318264, 94.550697080619472, 95.53405957306903, 96.090565450239794, 99.94568539147501, 100.27136864203166, 100.45939066544372, 100.69795855676888, 100.80586044216787, 101.84935457236882, 102.20996304590778, 102.67122669373812, 103.28464944863761, 103.72192054791896, 105.36265954788944, 110.84638438437035, 111.10816546402377, 115.05901274628805, 117.64195925219684, 117.66890711706924, 118.39441150926444, 118.98864612830727, 119.16112161528231, 119.198910654166, 120.18888679825345, 122.1476717080897, 124.26391273154039, 124.34797996603744, 124.49200048210126, 124.72336749416688, 124.82320316610841, 124.88307629733879, 127.62749902716061, 127.65239500923974, 127.73295643971868, 129.16950899932598, 129.97594872208484, 131.67530307940905, 132.39329809216753, 132.61040760170999, 133.16022684485787, 133.70035642702615, 134.7042752672694, 135.17021405596967, 136.15756758722279, 138.9013032464137, 139.27926314411218, 140.54571256429099, 141.41196704819515, 142.01803220597665, 142.93697041285509, 145.11490714853213, 146.45898787659496, 148.7837279222363, 152.99479435701315, 153.1221025800626, 153.74933163533524, 153.95919431201384, 154.268405910832, 156.03572967092373, 156.7398488315666, 157.2693671164489, 159.11564057030861, 159.14510984651449, 162.63052266204951, 163.22928764450904, 163.27481551582164, 165.59752274894024, 165.73134322837095, 166.59992752727587, 167.65518475907791, 168.33524666115872, 168.53500362369979, 168.85445776100184, 170.93155839270594, 171.02591873871006, 171.48040198106267, 172.73270889010882, 173.70224418456755, 174.12790647295816, 174.34341053182351, 174.65729296535275, 174.83923897478886, 175.31193387894533, 177.45929770764806, 177.61632004604809, 179.15308500044861, 179.35597511502203, 179.4225573275121, 180.98823218264593, 183.35060956121498, 184.87269237853886, 185.02860961296622, 185.17926583694026, 186.55654213549317, 188.5291677083392, 188.72570753393737, 188.79074846212478, 188.90503587560954, 189.36633568987915, 189.68045708237804, 192.74218873627723, 193.29971191169744, 193.38389804613652, 193.77824585333096, 198.14358293555588, 199.72084725980648, 202.37591189461713, 203.56871579773795, 204.09748462598677, 205.2709958389907, 205.69073781702727, 206.8067528957171, 207.0128798305233, 207.46711153558655, 208.8580800190604, 209.75453673778898, 211.55953034110158, 212.63574771086377, 212.75265058485439, 214.57887432250521, 214.80237696807342, 220.14580274531176, 220.67361609126877, 223.61281967784279, 223.71623391382872, 224.22361872336649, 225.3005101315355, 225.50115925240033, 226.4431261351836, 226.8278078000393, 227.5282154786909, 229.71231730405614, 231.70232795809426, 233.21255795734353, 233.25663756320844, 233.45448035492402, 234.46818656882223, 236.45978511881103, 237.04906409572132, 238.21487682758743, 238.8836981471228, 238.97047251128049, 240.5322038903038, 242.04541337053584, 246.96003322526562, 248.38971857854912, 248.58510025292122, 249.49887027573092, 249.71314500580769, 251.14790683967709, 252.06202716666016, 252.088528697237, 253.84663973842194, 254.98345581420079, 256.28761029933378, 256.5593580913968, 257.25551214100193, 258.09977144169699, 259.77279680282106, 260.27150888696241, 260.53793108783685, 260.59664913344483, 261.66142966656452, 262.68677040881266, 263.39881496058291, 263.68761346837084, 265.26115912658361, 265.39201531409196, 265.71353341501572, 265.79164392021966, 266.3718997690566, 267.31794495470211, 267.64062821469173, 270.93875759181248, 271.48634254610602, 271.92196263354111, 271.96471839285391, 273.64780713557707, 273.9213882710809, 275.28866492677821, 277.90613679541542, 278.80281911555824, 279.67675435227318, 280.52128532122674, 280.93974296904821, 282.03474409192034, 282.21979284334481, 282.26504981090079, 284.26137113188099, 284.81919854247491, 288.6811092855217, 289.06899162388282, 289.22783928250226, 290.88618207504254, 292.05978537261979, 292.79177500283424, 293.46648586040214, 293.83700433219929, 293.86811271699639, 294.36772240127539, 294.8152026122408, 295.54661675299769, 297.21852022362401, 297.32118290298553, 297.76984192348391, 297.89278529911348, 301.88527153423115, 305.30390361728661, 307.01205940321859, 308.37152401851853, 310.46163716988877, 310.95993033557437, 313.3176768680371, 315.42772915103887, 317.52768284161397, 317.73243654894867, 317.93856302654666, 318.92429375509022, 318.98768027249503, 319.45937653009202, 320.00826721190924, 320.27411890154826, 321.77739259732851, 322.85952567488823, 323.18533281985725, 324.82263677868093, 331.29476723306595, 331.76239736046819, 332.00086527590571, 332.59128290707741, 333.76782324658552, 333.90387678278773, 334.18828888465282, 337.58530550600875, 339.57109756652858, 340.11934254338058, 341.69426950862527, 342.1393912593407, 343.73938837215377, 343.77629645852949, 343.83963958066926, 345.0276592856319, 346.99887182776956, 347.78233362921367, 350.16211754091381, 350.34989360490641, 350.4964845312951, 350.88297190226018, 352.03686494875393, 352.49885951906782, 352.5285497238014, 352.72472562998979, 352.8709812235125, 353.88860253095913, 355.71232673886146, 356.68675973276629, 357.70918915932447, 357.84106142413282, 358.88614828580182, 359.87635551807028, 360.78488893952795, 361.26927771515676, 361.85474358213014, 362.00236941392808, 362.04411184461844, 362.95041332993122, 363.03083668185138, 364.59653402704765, 365.02030989376249, 365.54046443915632, 366.23142751702591, 366.74513874056436, 367.62809946952302, 367.81845121919457, 368.1182626508724, 369.00081168048177, 369.0799532801542, 369.36515611572474, 369.38531381953123, 369.49545209117326, 370.34320779031503, 371.96953873231553, 373.23251359715937, 375.20156748557457, 376.1314304316025, 377.1556324293532, 378.10919405248239, 378.19979771163685, 378.42971781953463, 379.08685161786582, 379.17190554270894, 379.30436006141866, 380.13710476982175, 380.63812229570118, 380.6603793308326, 380.74736334037732, 381.29969973263917, 381.57228333512654, 381.70721975432963, 382.75972168721302, 384.06101960415907, 384.09735381774607, 384.23007062872091, 385.57033183835699, 385.86356727361033, 386.27985923169865, 386.4380121167967, 388.76086798100295, 389.24046323389194, 389.68618326991447, 389.95023060696423, 391.42310930337652, 391.77265041203998, 392.02626954255038, 392.25447831928955, 393.66700628499086, 394.25292568118397, 395.12220599050136, 395.56707758637924, 399.43629010184969, 400.15849102295311, 400.18871400316527, 400.95568195886352, 401.65761240212703, 401.8814937692934, 402.46244557055957, 404.3454613836422, 407.15073552191234, 408.355217899492, 409.2643253212442, 409.41932569753561, 410.48978956165098, 410.92296171028249, 412.59049727950901, 412.68036246012252, 412.74642392325643, 415.75594562313847, 415.85425580125013, 416.73314698643759, 417.73229933023896, 419.77846586956974, 420.24533508811936, 421.85448361754976, 423.44763979621132, 424.41403253635809, 424.49905469927211, 425.92296562046033, 428.94120599787317, 429.06427988283724, 430.77230084044027, 431.37457117734465, 432.11545534021599, 432.77765874755136, 433.32994384305505, 434.27931823399138, 435.18026555517946, 436.44614392792215, 438.06509145081804, 440.36221438737476, 440.944501920986, 441.4243577813391, 442.41384635278115, 442.61414157585682, 446.4297094727238, 447.66490102991372, 448.96904751340816, 449.17796232513331, 449.51080805676077, 451.69109520587853, 453.67750269979894, 455.42283332868277, 456.90270154430101, 457.47002945186694, 458.77296940522103, 460.81297942438329, 460.94846858790714, 462.73868640949809, 463.38855926476515, 463.87131066787725, 464.26347132772156, 465.0364836007509, 466.65803664198813, 467.39621345397217, 469.24861939331146, 470.11173369606036, 470.17403696016299, 471.18307481116324, 471.38982380421578, 472.90304813613682, 477.07182576066077, 477.55683343181215, 478.13593565330291, 478.6112131645931, 479.97751742114559, 480.99914375464033, 481.10577318865427, 481.18900467362579, 481.74136288758143, 482.54419180759857, 484.50270305756163, 485.41380817605801, 486.09459136703651, 487.0967303303479, 487.19474633702066, 488.27585428975294, 488.57252673925291, 492.27793522191683, 492.30813128681598, 492.45676995304518, 493.00329130693308, 493.49253053592463, 493.80962922867354, 494.0457196347798, 494.99796282231307, 499.26735634881885, 500.05533500682486, 500.72716576285762, 500.99561723679966, 501.83543772323952, 502.0392910348304, 503.20984562607589, 503.68828606487602, 506.15740633956955, 506.65829431494069, 508.23350159094883, 508.92323943597569, 511.3909651224651, 512.69668210100178, 512.88654163888964, 512.95870536594725, 514.19516472384191, 515.00233813755574, 517.12914294754535, 517.75556351657633, 518.04119337312329, 518.49740115215695, 518.64290475161522, 519.74918238403529, 520.69372913663767, 522.36096553780646, 522.93838740741353, 524.04594142569056, 524.5123859589321, 524.66901440898062, 524.74809864369843, 525.8619246050722, 526.74195112312498, 528.10992358791339, 528.80215772043982, 528.85428604474851, 528.98041510269593, 530.9755255104053, 531.88591213958682, 532.34124541905339, 532.74847632944932, 532.8883816266989, 533.21187663116336, 533.8138057009653, 534.00814580212773, 534.25722639262847, 534.99180627900205, 536.12518123439997, 537.05229879618764, 537.65605924597742, 539.39870632343923, 540.23550623757797, 540.53849253740827, 541.9398456344793, 543.10673769738855, 543.69002658985676, 544.58579092166462, 545.62341768450176, 546.93263070311241, 547.61775452058214, 549.44930819594356, 549.60145610326151, 551.0137489684746, 551.30273535561435, 551.61460481543475, 552.44766857193883, 553.0496759915784, 555.4755348172788, 556.05621397809693, 556.5264379391632, 557.18897965461463, 559.03616504054139, 559.98649714578187, 560.11447403380146, 560.83042207529388, 563.58489238242225, 563.83227057459158, 565.69674532927343, 566.75662198917053, 568.06163156524019, 568.74304699818481, 569.83974162664049, 570.14650920130839, 570.50975243007417, 571.28927248279388, 571.52979400644756, 571.56306960691404, 573.98060965048444, 575.23638665156591, 575.74377840483032, 576.27028539239257, 577.57320386650679, 578.62360215026615, 579.83979294265066, 582.69066664992658, 585.47094313060268, 586.02108484062921, 587.71742113653067, 588.15289663577346, 590.85292147563393, 590.9042886866373, 591.00781119453256, 593.488918189488, 596.21341629445919, 602.04273208470693, 603.06659374770402, 603.80084052134077, 604.44110283661519, 604.709498785905, 604.74582565980143, 606.30175305284001, 608.62336253710441, 609.92343337298882, 610.95613667940916, 612.0959961376368, 612.39450425285941, 613.75767997721391, 615.26194840760024, 615.83733650016222, 616.3990542776761, 616.9937335532411, 618.81226605866993, 619.37451146776687, 619.78292052152415, 622.03208098156415, 623.29209812016802, 623.66367532128368, 623.81046559656659, 624.45146179587096, 626.22128168075449, 627.82394530752242, 628.24188572685898, 629.88712161891056, 630.23179964962685, 630.54453740133772, 631.67917376527441, 632.70564363747383, 634.32398572381692, 635.95476352538151, 637.26251066079908, 639.02034457502737, 640.11451358427075, 640.37030776635333, 640.67892948856741, 640.90687719468065, 641.87454199016247, 641.90500672690951, 644.71767136346432, 646.14090784750056, 647.6462220575637, 648.2839122693531, 648.73321168086522, 653.18611434709908, 654.9804657297899, 655.97399949426597, 657.17334431389781, 658.44209785088867, 658.87404583004889, 660.81091297452917, 664.16873913415589, 664.94795691979391, 665.32430475706497, 665.59860349244002, 666.18931055197879, 666.34679495643206, 667.40229018291438, 668.83545465616987, 669.91149379807155, 670.54743712451273, 670.72197489490065, 670.98858645188773, 672.020749920654, 672.33151732683712, 672.54372506323148, 672.720362241825, 673.1446554103095, 676.46478188078208, 679.32341228549876, 680.17922867793186, 682.94773531129897, 683.72978198047099, 683.91794104382814, 684.20847574323568, 684.4803193480908, 685.22441417112123, 685.50611884708132, 685.81692676077876, 686.3105117542226, 686.58702869500121, 687.80851228383733, 688.89416921925988, 691.19155382981728, 691.61808400746509, 691.64319765372477, 692.42349438442727, 693.74541182615985, 694.08611206246405, 697.02284195987579, 699.10663914386589, 701.41256853389325, 701.80439889968522, 702.66797684134986, 703.89518632179056, 704.37984781939929, 704.73661780262182, 705.72234047291113, 706.09115585681775, 706.76416616569497, 707.55912186780142, 708.56474898605268, 709.82996314351169, 710.26453192893393, 711.09622489099365, 711.4907560600044, 711.62675032241623, 712.34365015729531, 712.69080363826072, 712.80341403236832, 713.19050119158055, 715.21286785799055, 718.04272419459312, 718.88806794379047, 719.77983300152653, 720.8973708438831, 721.19752868592968, 721.98445221041072, 722.1336187753684, 722.21078680553182, 724.93845956222572, 725.03528109885951, 725.29255457984209, 725.59708532179627, 725.96322608671233, 727.39980497844795, 727.45753117959327, 728.68772511594614, 729.27776076110649, 729.9015874766061, 730.79612473728002, 736.92443971523835, 738.5647126159148, 739.24010612306392, 739.2866939317222, 740.31871122171026, 740.86969111112398, 741.21378923420093, 741.36039573991991, 748.72707734202254, 749.41367197990598, 750.06429930316938, 754.71047991170803, 754.77700661502263, 755.01422410404291, 756.67274153883454, 758.35222896342123, 758.82258811980842, 759.3826352009122, 760.95370626575425, 762.55445453150219, 762.82249580671134, 766.28313194396333, 769.26973280064556, 771.57312522098209, 771.90305286081229, 772.55171886587891, 772.74604285733767, 773.14289575649082, 773.43610246867115, 773.99238346306413, 774.94040624819013, 775.07845089078842, 781.52755089339712, 782.12772057460438, 783.15270034013474, 783.69659959134083, 785.98867790732334, 786.10237748785187, 787.1528860485048, 788.14583632292056, 788.25160189320741, 788.64716784767347, 789.27460829768552, 790.03096254304535, 790.38763289317876, 791.08396437854503, 791.13044196540147, 791.77060194905516, 792.49889679440184, 792.74959103488436, 795.63921445447863, 799.35243700018634, 800.06273368965913, 800.61171365634596, 801.17208389973553, 803.79600017627899, 806.30174311643214, 806.88160535632312, 807.49654802306975, 807.87041392769811, 807.95057518353838, 807.97355765193743, 808.6405126437495, 808.81635934262647, 809.1253044244794, 811.16702287548651, 811.59071175968438, 812.47764972020423, 815.2577442970022, 815.36388628924067, 817.66478977374823, 818.79602942165229, 819.21007137601555, 819.8724980598098, 821.72681857160785, 826.29098529724968, 830.69569586108673, 831.61251047080589, 831.71489208209277, 831.76490703463992, 832.97410943535874, 833.76626544133057, 833.89623822729823, 834.832076065313, 834.87984359512336, 836.25082297171957, 837.91843699480398, 838.31466405467393, 838.60863305929388, 839.07900425492198, 841.6545012186225, 842.030869805257, 844.68130321752085, 845.0360418776778, 845.18178675391243, 846.22945749111636, 846.26528975860072, 847.51308166460228, 848.73539993629743, 849.02803488797781, 851.53607675190278, 851.97847639193708, 852.68566210063489, 853.06338782158264, 853.90643519320395, 854.61519040696737, 855.08814889864107, 859.28326884727562, 860.08288083519301, 861.74031225758722, 862.94112196831713, 863.00386142944137, 863.84682510279504, 865.65514273834799, 868.91907567655153, 869.75017381392934, 870.78825066093054, 871.87746783690147, 872.92007164328527, 874.01383939817435, 874.09137473720114, 877.68058641104267, 878.42985746628131, 878.67588021199344, 879.87453658733534, 880.2386778681913, 881.61115995519754, 881.73365530192791, 881.91834093239197, 883.34715155222125, 884.9862081151814, 885.76045236840685, 887.33879063019788, 887.83587479348819, 888.76555318324131, 889.03030271952935, 891.3073455000947, 893.75184372679053, 893.88638288178913, 895.6508089940445, 896.55540338829712, 896.68311856171135, 897.36470486431199, 897.53697865200456, 900.49725384578733, 903.78420498952903, 904.49394529157394, 908.09824364801125, 910.63492233278657, 912.50427943795046, 913.28796734650621, 914.21335611826976, 914.34551547928709, 914.60896440440501, 916.00601371338871, 917.69819389989561, 917.7282395206588, 918.00655101787447, 918.11478782673771, 918.86506929128245, 919.79802634923567, 920.5653722140172, 920.91465544838161, 923.56638230520048, 924.91517183156463, 925.31253290885445, 926.90331001165271, 927.96275463308393, 930.1549072900491, 930.8444976308956, 930.95440001623217, 931.34870555132409, 934.00661924591554, 935.98864579284179, 936.47224411975162, 938.21972205434338, 939.26083163568944, 939.5464883185997, 939.66465534145595, 940.98980106233466, 941.3965768754465, 941.75025853729051, 941.81583678592904, 941.99128551779177, 942.15852524561808, 942.86550123048573, 943.57824502384108, 944.34495328897367, 944.39618514033498, 944.65529055827267, 944.88155983777892, 945.42043490655567, 945.80002768438851, 946.25628513284153, 948.2246207422952, 949.00400399653131, 949.20533142231443, 949.34030563525857, 951.86980468813738, 956.87896344283547, 957.87652742200203, 959.49568007311507, 960.11592794882938, 960.1760985436282, 960.39173873818822, 960.91455976219243, 962.28559946236476, 963.72707193044528, 964.98253509125504, 965.2048470204345, 967.16200277651706, 967.34164931032819, 969.10872888159895, 971.72833563327038, 971.90689305236992, 973.99814327794149, 974.39794326660433, 975.01302337469826, 975.89394688700463, 977.51046865456078, 979.20795903373551, 983.35750544289328, 983.59726490117373, 984.40407855855699, 984.86963034615781, 985.08377431922008, 985.41503306975449, 985.67839357346713, 987.16981949526985, 987.21593914757148, 988.10006447116575, 989.37095938430116, 990.42980768648749, 990.88187036293459, 992.62288560693116, 993.66917170151225, 994.07249248240737, 995.14060580934961, 996.26215953850863, 997.45511935434104, 997.50590561569391, 997.95831251912705, 998.08658925557404, 998.40932333727949, 998.96451731244213, 1000.1850340737689]),array([71.9162748448652, 72.128833392538453, 72.206869702493506, 72.456370364234544, 72.672881345179078, 73.18530299430482, 74.104815427472374, 74.152429668540179, 74.883428355778065, 75.84675193962903, 76.283959582188686, 76.555692116143121, 77.359455913504476, 78.321494981458386, 79.340746286457787, 80.606627043186876, 81.114096843006394, 82.24538500224304, 82.500375745404753, 83.844829405783017, 84.727412565973538, 85.02879785315254, 86.645475276655731, 87.347555927522009, 87.899421140466472, 91.141690621726269, 91.748916259424846, 92.073669558563111, 92.13583398655679, 92.597553009154538, 93.837030413814816, 94.031527869291352, 94.122183031989124, 95.086744473250292, 95.507449000574667, 95.717021959176805, 96.087341275667796, 96.231267025428323, 96.8607283938873, 97.054565109536767, 97.240905515108395, 97.359143573187822, 98.0320172158155, 99.024771269710172, 99.915783499146187, 101.15029701451707, 103.42670975226264, 103.46764730667277, 104.68761038541822, 105.19638258889597, 106.77598892215025, 107.6677649673716, 108.59596781424219, 110.01222648279223, 110.45665744760501, 111.47970947277575, 112.10106711892611, 112.97104144456613, 113.92733198674813, 115.25955600318584, 115.45025565894196, 116.19372478014593, 119.0362690970442, 119.64429755528492, 121.04532557754742, 121.57240001747211, 121.61481179455889, 122.64598573272272, 124.2214888935104, 125.59122919923647, 126.93414494127381, 127.69802901440978, 129.0654081512433, 129.2602228126878, 130.32545387767905, 130.63776680991759, 132.53835468897665, 135.11086676864036, 135.57445644325125, 135.60448727188171, 136.24509162456752, 140.52227882600866, 141.43707331193744, 141.81811919748327, 142.25773941589895, 145.98610890871541, 146.19469105738739, 146.42728632146651, 147.04639225456171, 147.37195831472002, 147.54775972803384, 147.79573878914175, 149.47098976724934, 149.57326457565321, 151.06401346147643, 151.51422204624578, 154.40381794979953, 154.45119338546903, 156.38060817421314, 158.2065450576884, 158.76141050827562, 158.88374412250468, 159.86880764038392, 160.52947300374615, 161.01241539913133, 161.44520722015591, 161.7628944773322, 162.42272160272961, 162.48300014146224, 163.30724192736622, 165.07245941058397, 168.31149875952298, 169.18647729409767, 169.720189122276, 170.98551333318733, 171.15063246867305, 171.3621008737079, 172.88661433675423, 174.13948446832393, 175.29402620679048, 176.83022853103336, 177.45480421249121, 177.72823795817186, 179.26471922318015, 179.29815196351737, 179.76874920706101, 180.03190483521567, 181.75483115130308, 184.01985294221132, 185.53243631079215, 186.25204707566118, 186.70660065618591, 186.96286030750775, 189.41271982661291, 191.1215649656157, 193.14269348415326, 193.54789945622653, 194.43932008546253, 195.0753557004976, 195.38679775001097, 195.8482210657628, 196.7778582097387, 196.81532623180777, 197.03676453995195, 198.73558366541221, 199.55011599225261, 199.75893891383427, 200.73394593368263, 201.00463537828614, 201.24671193753011, 203.09738842825055, 203.59881324569218, 203.69607976861636, 204.30396433346624, 205.01889074855009, 206.54722124564253, 206.82424534170042, 208.68927281860687, 209.00433802294631, 209.51302015691431, 211.39703510640865, 213.00643364295684, 213.4218260361765, 214.66032377773953, 215.87506660883406, 218.01376017841739, 218.86008695737888, 220.44481601235623, 221.24197711686887, 221.51406304819051, 221.88069981193632, 222.84580523181415, 224.21722611028127, 224.95445772383761, 225.05035344186481, 226.26349469141024, 226.40908844131911, 228.53634070372317, 228.66860610249046, 229.88286357586742, 230.04630036744325, 230.40528002563079, 231.19245614324868, 232.09057409917745, 232.96050056677612, 233.39993981699004, 233.61297019505312, 234.52993990394677, 234.81571152400386, 235.21227309103716, 235.68719129651276, 235.86928343905498, 238.0699954099322, 238.48300143172435, 240.50244754058275, 240.88344593354154, 241.40187150241934, 242.84027800093025, 243.06143228356262, 243.34777257287658, 243.61628245604692, 246.30881945189424, 246.91723388493216, 248.80387103832999, 248.93107406678149, 248.95424242829259, 250.08943745015449, 250.39301799091038, 252.56323042004004, 252.82213169913763, 254.813518968848, 254.87365810953759, 255.41326098515484, 257.1009099861206, 257.75936471421392, 259.02180533490605, 259.69344649795846, 260.30613604633288, 260.60513442629599, 262.7119496012773, 265.23495087076691, 265.49810692386666, 268.39760661351704, 270.42121712464984, 270.527029572483, 271.15550296500771, 271.3459102417379, 274.67498988940758, 275.25982576431375, 275.98511841414449, 276.54499405915254, 277.19506428913155, 278.07335270127186, 278.26534687208158, 278.63134489847306, 278.8702555581803, 279.93099035297109, 280.92460329130427, 282.04013676213947, 284.34789940559324, 284.64970090960998, 286.03775207972291, 289.01405601536885, 290.55016482816853, 290.62022955272442, 290.78782797432876, 292.94169377572177, 295.79711593687273, 296.26736188525848, 296.34986429955842, 296.43659162703051, 298.6731745093133, 300.31982639739584, 300.96495271598388, 302.33106715500787, 304.56497264979907, 309.20061549612819, 309.90845857601971, 314.52635459740912, 316.15982187935367, 316.91458181019851, 317.21829554576351, 317.92839342837379, 319.33761008861154, 319.93590989950371, 321.96591507913541, 322.32263519155634, 323.28447241912517, 324.43339636149989, 325.28320487916505, 325.86121190995846, 326.15062964188354, 327.01250641325032, 327.3009603295331, 328.13251983818566, 329.31708694599223, 329.92140876458956, 329.99335973543327, 330.38777544583957, 330.78594346292579, 331.89833583902629, 333.34508561411212, 333.51202665234399, 333.6393346662602, 334.20778935331288, 339.30605458725103, 341.87410641228081, 342.38233715709327, 342.99922885892812, 343.37959927949146, 346.16847915015245, 349.03683891858634, 349.34648404162596, 350.3799327737994, 350.70424906697917, 351.635392789484, 352.13690104888332, 355.56781199327514, 357.41320865081332, 361.37724648187259, 361.56352803344544, 362.8859767407298, 364.55161425950678, 366.30588964057227, 366.64639911889344, 367.58656143280598, 368.70587315285036, 370.44869001655047, 371.75905937880469, 372.47616942910776, 372.51702777471809, 372.54164011640677, 373.99449667559492, 374.9606466003325, 376.42611122909722, 377.57040563334886, 377.7174452894721, 378.03853982790696, 378.29614402434026, 379.13311088673112, 380.95764019740312, 381.97592109427558, 382.22843856180168, 382.29090791732023, 382.62221210371848, 382.78065261056668, 385.35198756002677, 386.44720183403552, 387.44956639035172, 388.33489927464291, 388.75771013508222, 389.9305263277023, 390.62589445755378, 391.60575799503169, 391.68905514090147, 391.90875646011585, 392.60079747097217, 394.08380253607373, 394.32590485893371, 394.97415455373203, 395.69306882292534, 396.18050219871208, 397.09969602730035, 397.29836184217538, 402.75189516344705, 403.6672856640601, 403.9177681147803, 404.43039685152382, 404.51876170264291, 404.97726232790819, 405.32555074322721, 405.77884635817855, 406.81225681649687, 407.83405172439012, 408.44154670517509, 409.33145236224271, 410.0849965042803, 411.90111540580267, 412.50597169476129, 413.3625069626583, 414.0628909532698, 414.9982760660198, 415.2885784550424, 418.24928051580383, 418.63779872683256, 424.04828941381101, 424.32919121008979, 424.52045815095278, 425.18436093179196, 425.70439988475653, 425.88483578037477, 428.51330561308299, 428.8467401944917, 429.00761856711864, 430.06677787471165, 431.19427169390951, 431.39620401056447, 431.75103944441207, 431.785549268777, 431.88544616625728, 432.32406703057183, 433.3977292711009, 433.95284452817748, 435.95737241245757, 437.11084525260071, 437.71017545373161, 440.549062925253, 441.69244943685595, 442.22065121284879, 443.09922730918208, 445.68296920996977, 446.70086703862978, 447.06489732434653, 447.19005282622783, 447.47965031462667, 448.41767458783067, 448.75977956622688, 448.89188709580225, 449.91590250801761, 450.01187459354867, 450.41512370060752, 450.67169413576312, 451.04231227945382, 452.30749414544368, 453.86985243585968, 454.71076857446525, 454.92495419023572, 455.14672566353971, 455.77739504588612, 456.51877981902203, 458.31801231134256, 461.60604057346626, 462.01610185622565, 463.72946585277907, 465.90336591070138, 466.26446047124296, 470.125400059127, 470.37440334892636, 471.23762444754396, 471.43636140407415, 471.52963173294239, 472.39288206878774, 472.90581949603029, 472.99370412231718, 474.08825235369875, 474.83800684642944, 476.24309853838747, 476.26319147808437, 477.78597476635838, 479.19651963127967, 480.9084300025691, 483.00792035583487, 484.20630051154916, 484.44694823872095, 485.31732432780933, 485.63463786444191, 485.8852185066583, 486.72462808129086, 489.62115636118739, 490.05878060530614, 490.25162532859576, 490.4991619143405, 490.55238863087118, 491.61824376300274, 491.79852626058943, 494.42893818690834, 495.60955265777676, 496.07924772092122, 497.86122621135047, 500.66996689863942, 500.9661005689145, 503.38435159527245, 503.41202102668291, 504.48934960949589, 505.31710559890871, 505.91200735960791, 506.64555343289237, 508.54208593472936, 509.05299504326285, 509.97147545895405, 513.55063987040853, 515.93621174746863, 516.67356950333919, 517.06465705909079, 517.40193829469274, 518.92603262109765, 521.37885372917071, 523.82784939504813, 524.0175207867926, 525.56756379093758, 529.72275111731324, 530.08881545645784, 531.26477093958431, 531.64977841331211, 533.25327415551999, 533.98379396120299, 535.01947640632852, 535.67337901399662, 539.4329348559661, 540.72513669401189, 541.60935611804757, 542.16921240566955, 543.11827442300535, 543.23274729611649, 544.51361621728449, 545.64276288426186, 546.70537938516952, 547.40528188345627, 549.23715245867061, 549.29333053779044, 549.48258876439945, 550.50731069743051, 552.72666883933346, 552.75029705056704, 553.34768955469758, 556.73286057389282, 557.69358246069646, 558.50762604847034, 558.79304088961101, 559.41257399302015, 560.90610489597088, 562.16299414875459, 564.43462493383686, 565.51297419222681, 566.12198878155402, 566.57697578525108, 569.97514003335334, 570.24189666288567, 570.87006655155278, 571.15431407974472, 573.64053462504489, 577.66725782429751, 578.45537432018648, 579.21058907867314, 583.59862829437725, 584.14505292862691, 584.80797892017495, 585.14120562715698, 585.71731553492896, 587.71944922225498, 588.20277017343687, 588.7015944665493, 590.05773658413386, 590.32707023416469, 590.57420171262311, 590.96906892409106, 591.76851188297769, 591.96755328422694, 593.48054392050881, 595.12229330023047, 595.45622836110226, 596.28976816163731, 598.4149711122069, 598.99341458229799, 600.44317758668637, 601.08168128378077, 602.80459868251432, 603.03973453383776, 603.90140385298525, 603.9516556035577, 604.75270676455523, 605.08084868085086, 605.21802024341173, 606.30512652796313, 606.36054374952278, 607.5010931396946, 607.60647756628077, 607.87238025286092, 608.36487361360139, 608.49256876030563, 608.53151519789412, 610.49196072762584, 611.27452099931463, 612.22544041810715, 612.25789383595907, 612.5113391034962, 613.3625645849196, 614.21862092129118, 614.4115338742115, 617.31233708813556, 622.67609276701683, 623.25298309054926, 623.77308031528867, 624.3234473811267, 625.69398352257838, 628.78325143304698, 628.91586868549985, 630.22676251351322, 630.70710985287872, 631.52848836991859, 633.62731841828838, 634.54179582958443, 634.6490329400358, 634.97628182080041, 635.7117984775083, 636.2079514460446, 636.86728587719347, 638.23666949074527, 638.27093799041722, 638.4741571761532, 640.0347019351575, 641.56909748585974, 642.5470598636249, 642.89615223500255, 643.62672309346715, 643.82900761487429, 644.12785784171933, 645.2901245136311, 645.49522571288321, 647.48540587529578, 647.62753964423121, 649.89773244940443, 654.42716624426851, 654.83520917639567, 654.91511839879286, 654.9887295081819, 655.44085738408762, 656.66064786802872, 657.2221333342975, 658.76620307634084, 658.90343224180867, 660.38880067071409, 660.55466301553463, 660.65282698889689, 665.52853218177063, 666.15969625704906, 667.18442709842429, 668.20790901122416, 669.56595290786663, 671.97869055582191, 672.05553621725301, 672.7408714808322, 672.86022336753319, 672.98954714718889, 673.07937169886634, 673.66684891870568, 675.95481432407757, 677.69633160712704, 678.23406964366905, 680.57583546840465, 681.37271974965552, 682.37374650766913, 683.49038920571104, 683.73286897954927, 684.41476493657103, 684.67065521441475, 685.21628861120917, 685.31179590717534, 686.6204255756702, 687.80066729008695, 688.03645100715175, 688.51553333143943, 688.81820329597656, 690.51612823710286, 692.00687260923098, 694.71353930129158, 695.91055668452645, 698.39798751604599, 698.50144718323565, 699.33172411575356, 700.04656667192239, 700.25820302768352, 700.60407083734333, 702.09367889231498, 703.19521506542367, 707.64855219494234, 707.67022293359571, 710.1233566155862, 712.59517601672178, 712.87593824574878, 713.82946119891744, 715.18452120715233, 716.47654033253741, 718.38191290766088, 718.70049518762676, 720.07405863416, 720.75909493716654, 721.22450471354, 721.33257631167908, 722.81369897885872, 723.16608686873599, 724.35497140824475, 725.23466972884353, 725.46310751210353, 727.42685247822817, 727.84769919818848, 728.2256272423266, 728.66476416839748, 729.96690586350348, 732.23027339130533, 732.61681101760928, 732.78753896679927, 735.25990749418747, 737.44601846886269, 739.10093354257094, 740.14271101109671, 740.36558759363152, 741.49516250087231, 742.54704351939472, 743.79293786459425, 745.92882393056198, 748.25307038375524, 750.98383575142066, 751.72760463170823, 752.2487573256584, 755.80002497972441, 756.33850051254205, 756.58072448614337, 756.63285062971022, 757.75644274729268, 758.26003467165185, 762.9219238413508, 763.41024101796654, 763.68074587101944, 764.07886294466323, 767.72206649101201, 768.55114560872914, 768.96570861386988, 769.20691358164402, 770.18066055339648, 770.86684847315519, 771.31357775562742, 772.76543401080744, 773.28158178496687, 773.77464922546051, 774.66125996289634, 774.75750488337246, 778.97787885796606, 779.71315438206443, 782.23502140610242, 784.44449336018704, 786.3540910074762, 787.01385658896913, 787.68167674471852, 789.1229876460643, 795.27027232093337, 795.86571191202756, 796.78952553898137, 798.15304479598046, 798.583777090024, 798.66493439912483, 799.55838086757933, 800.34763177069033, 800.72524414822772, 800.77459685291501, 800.91926619998833, 801.01758863200803, 801.51769325566261, 802.73287097703337, 803.09006100930787, 806.28408220531458, 807.24448285734672, 808.00743624732638, 808.53978258279949, 809.16666068962138, 809.82386904106181, 810.48237362657926, 810.8798572271744, 811.7173528912042, 816.2756694499061, 817.05335421492691, 817.20167497698901, 818.77734311475513, 819.5217062498424, 821.62058790350704, 821.90698633807779, 822.47950739335522, 824.6542546011126, 825.24961967595016, 825.85958383513525, 826.11926038434478, 826.3582550966596, 828.64373473520789, 828.70195998942802, 830.57400360944655, 832.68818737002061, 833.48635155011164, 834.87535053731551, 835.24607537478551, 837.70786340848679, 839.29397687287621, 840.08781168719338, 840.86045308330608, 840.99573954673542, 841.2508167539645, 843.71617465117333, 845.28459289889349, 845.96373502869687, 846.28254894060774, 846.55023350934619, 847.36122578667937, 848.55048340769736, 850.89901311095878, 854.1451219242864, 854.69939201868181, 855.44406681021178, 856.50055165472759, 858.58364373178586, 858.78978841456308, 859.20366356806267, 859.47656495524154, 859.63774773334569, 860.06495843868902, 860.32856239105126, 865.5593428232703, 867.66808145196444, 867.92883697749414, 869.2680301164022, 870.40552039172235, 872.53025702896957, 873.0806226146434, 874.07275922830229, 874.13228345104869, 875.70189042444974, 876.56035828510699, 876.99804069282095, 877.05144621767249, 877.65436269788472, 877.99626502676915, 878.4389713706978, 878.98321719165358, 883.63576219080517, 884.17009180527623, 885.79594972159873, 885.96217123429903, 886.63400843948955, 888.70768797659775, 891.69762365079532, 892.63735876411681, 892.82018507965142, 893.18501065951341, 893.34051559461932, 895.87367776336271, 897.90664124429554, 898.30301264583022, 899.14816090661395, 899.30513530183327, 899.41162815805535, 899.45153317124232, 900.00121295958138, 900.1280851057453, 900.30125566007359, 902.73554096390694, 903.49804115332529, 904.43301005686362, 905.36541697137773, 905.76314589400829, 906.87945139961312, 907.2726465219406, 908.49639466737528, 911.20220101776908, 911.59652250779152, 913.74718236163778, 915.06078169748309, 916.38851968043934, 918.66845173646084, 918.70181170638239, 919.03623182375827, 920.83390740763764, 923.39253543476821, 924.70099329341735, 926.67631100176459, 931.32405578007024, 931.76597839801093, 934.71834606639254, 935.10992948289095, 935.13474892075783, 935.51299417368182, 936.7501082184732, 937.9613134680593, 942.04918857201926, 943.65068100318183, 946.63516821008341, 946.68059071989512, 948.85146594954153, 949.33871694572565, 950.16354125910118, 950.28403207974679, 950.61752400636863, 951.48693982291911, 951.83297352836405, 952.02825771127982, 952.5893899379364, 952.97011115295913, 955.56959420961925, 956.36806002876699, 956.42327616539228, 956.75918327847012, 959.80898935413109, 960.44482764071267, 960.70606254404868, 960.99251132570691, 961.29676754682782, 961.96485503468989, 967.29753424609737, 967.72228433695739, 969.33935702019085, 972.38236994647286, 974.04888869898753, 975.80562220147465, 976.61977627675469, 978.93213201313733, 978.96314352850777, 981.32743402462734, 981.41242770548808, 982.48421155177641, 983.55171109872538, 984.15944757955151, 984.36378247793789, 984.5186403651262, 985.02551298201138, 986.33612585749734, 988.49206051462238, 989.21458759723453, 991.14228495110387, 991.22680677873757, 991.99786442627965, 994.12698322019605, 994.96875141953365, 995.37094868754684, 995.79952378070868, 997.52960968630123, 998.36798221151014, 998.74266475946922, 1000.2565207383417]),array([8.7922355539533648, 9.5418916253044745, 10.100885473058456, 10.203387767347483, 10.227767260844919, 10.350117215071878, 11.166332419432848, 11.453523679791937, 11.968475305787925, 13.900996679049129, 14.809345170799057, 14.889353335762983, 15.70766930043777, 17.959271616153622, 19.581531139166351, 20.888464608080746, 21.48174565828754, 21.810571466290561, 22.358302052966764, 24.305750258217035, 24.960813800972467, 25.125495157426858, 25.299353199276155, 25.633203295733729, 26.31470196963517, 26.366051244238172, 28.449606109940689, 28.852737697542462, 30.596403326572403, 31.659776059624654, 34.598693389144387, 35.251721691849959, 36.182425013467089, 37.698300005901707, 38.680143802000401, 39.416108485126749, 41.02037611559183, 42.339537306377629, 42.456831128665002, 42.688838073530562, 43.15227803766625, 45.346090728322999, 45.790678333581148, 48.31035880625047, 48.438875253515057, 48.682988107682398, 49.70695780752289, 49.779601125927201, 50.60173671086735, 51.394042856376274, 51.635846037313975, 51.688531631287475, 51.870665372927604, 53.714979948684487, 55.231661563082596, 57.29974350062281, 57.550271657816801, 61.291811230167426, 61.734798662909412, 61.978837143426546, 63.225975856645391, 64.540505921384351, 64.741479108305256, 64.913682463416734, 67.531847001376278, 68.454798626838951, 69.636846530506247, 71.870043520503089, 73.274031684151396, 74.176207818493793, 76.584660859268183, 80.947001278264693, 81.252525959072429, 81.338222357681317, 82.166611419307472, 82.187012288672278, 82.764109791288774, 82.86417396781026, 85.184407341594508, 86.194865006312838, 86.584501265306514, 87.850454053780595, 88.611376227812414, 88.811137463462202, 89.237112351479652, 89.853815268196996, 92.325868457632907, 92.60088423852946, 92.670195921236129, 94.294457241090811, 94.634081823397295, 94.825953210373015, 97.161205358473836, 97.866094642598682, 99.444242470549241, 100.35304694759353, 100.74003161780777, 101.98135696639261, 102.27214178472749, 106.00237580933468, 106.0752301419186, 106.27095645626505, 106.30457576833851, 107.41746346018898, 110.60268938929453, 112.55099651370726, 113.29822943229026, 114.60207244739635, 115.82835028623035, 116.76105100414645, 117.05981497518169, 118.09321409006155, 119.06766456932756, 119.93064650704014, 121.38521916846933, 124.60737380818671, 125.26347835642025, 125.64644093450444, 127.82623896056674, 131.66490711321168, 131.71307625052222, 132.2890789350173, 132.75998710113618, 133.01133997193872, 134.86728551325368, 135.46466100159799, 136.4372667213164, 136.64863590926151, 137.07367621549395, 137.09795176349706, 137.59492156111429, 139.03630969202305, 141.22034025648713, 141.56741775443723, 142.03213685469098, 144.63387384026106, 144.74745396951252, 147.71608703893222, 148.08792840309485, 148.969908711599, 149.32409027095787, 150.04686602656452, 150.31882215956639, 150.43925051864329, 150.86616080259188, 151.32905560537475, 151.53038301417806, 151.76357538574243, 151.90099868990879, 153.61182175744193, 154.04700092212639, 154.98833917386099, 155.69886813747047, 155.87438856979693, 157.6849761334247, 159.1384961623709, 159.38050943772851, 161.76733090628585, 162.03697144385475, 163.6900597816975, 165.46056362700764, 165.92046299886644, 166.42120535549915, 166.74624446356859, 166.83424769163835, 166.92154366782509, 167.03032423655273, 167.57893094259072, 168.27266617264019, 168.69059220111509, 168.71227962127779, 168.80184188382631, 170.18212470544026, 171.42583523676845, 171.72880899741801, 172.19845998804067, 172.32006452013607, 172.83058066121686, 173.91373286302496, 175.19317245513457, 175.78406162847173, 175.81786320788279, 176.11112255382378, 176.72927279571226, 177.1674354087603, 177.30373064086911, 177.47720406386279, 179.19337307278207, 180.38964228959088, 182.10857988576049, 183.84918970563567, 184.75187657670571, 185.11820081161304, 186.66695951774665, 189.48810119608439, 190.25363015938493, 190.90702938825336, 190.97512101057049, 191.19362600485658, 192.49342463591714, 192.75330092975202, 194.50387208184355, 194.93385718110201, 195.3432386477262, 195.7810701155168, 197.25890354074127, 203.4140778243929, 203.61077588478952, 204.17565895976674, 204.25732212374854, 204.84355037742918, 206.12644453494872, 208.79551310875271, 210.88563411217316, 211.52919515179261, 213.86764006297665, 214.44114373817104, 214.7577361537214, 215.14304326527298, 215.36450084113932, 215.5762075105259, 216.53244595085408, 216.872140512161, 218.21312052194614, 218.90568027461092, 219.83542960777189, 221.78726179220698, 223.47420342014738, 224.17813554158485, 224.77036073225793, 228.4942437900479, 228.81216090621714, 229.09766455253697, 229.81126652287054, 230.0796741032822, 231.43705541087263, 232.23817219310791, 232.9226571202733, 233.49725655037417, 233.62152662366503, 233.87580962472268, 234.97507468457124, 235.02328786189648, 235.74375547620042, 235.95479600935968, 236.69863224754152, 237.0059698800915, 238.20892359483528, 238.78982936768324, 241.46359297103476, 242.94761516752158, 243.05151785452327, 243.77722299311253, 244.19268423825332, 246.28647964894168, 248.13020232653895, 252.14407692267071, 252.8443291831037, 256.75087197072628, 256.88953472737444, 258.86894411423424, 260.36595270690822, 260.41805503057384, 260.91214367395258, 260.95817633194764, 261.22558454553922, 262.4124577311344, 263.60657326503792, 263.90798385672667, 264.38218939078888, 264.46021616160391, 265.13770144708008, 265.17209561752924, 265.84786168544457, 268.16812205003208, 269.71407200264616, 271.35164974417609, 271.90001808360284, 272.45502342741372, 274.74901352526643, 275.41055278992116, 276.22436249439363, 276.67749461661646, 276.9475171556798, 277.27411402764869, 279.6793326253935, 281.03605981494087, 282.41279328056726, 282.78540704208615, 284.49973411465373, 284.62552197584228, 284.76730637211148, 284.98946501274696, 285.3413498870691, 286.69119024031505, 287.40643240180964, 289.46174172998747, 291.03064892941552, 291.33548123922543, 292.12393402466802, 293.43837954480495, 294.07710379632675, 294.39606851776506, 295.53651950872717, 295.63840847411115, 299.46080657860233, 302.07846112812445, 302.82323492149527, 304.44523979760982, 304.64533103421502, 307.82195803251813, 308.54656097231026, 308.999806147551, 310.37195876695853, 310.50319565424388, 310.83728748327644, 311.3931810768679, 312.26878862871143, 312.95578632435979, 314.45253001463647, 314.59186113717999, 316.21673600552282, 316.4147150639368, 316.81434311652657, 317.66349468402336, 317.80671656672723, 319.16754058427625, 319.69981717006169, 320.00129222714367, 320.41710346827267, 320.83825967308695, 321.42380076787379, 322.64704924614767, 322.75188862587487, 324.02583302098697, 330.77386387578605, 334.93601155733478, 338.58853172055376, 341.1006248604404, 344.67688744900283, 345.23492323874189, 347.83471601289921, 348.36739515026079, 348.6629945850442, 349.747667372276, 353.68677033662755, 355.74677616088991, 356.11519544874147, 356.78391239241512, 359.80429299220572, 360.47222404350276, 360.76556347966505, 361.19886233350888, 361.62201094394533, 362.87945014892318, 363.31127382896972, 368.03627386635424, 369.73947450746772, 370.90941534655525, 371.43356587630285, 372.14746933577771, 374.39636389669414, 375.1502884931765, 378.0974845367532, 378.29037180464553, 378.47778975437416, 379.73748875578303, 380.47079944357608, 381.21525641179971, 384.20863290267857, 384.87459711045329, 385.70990913074263, 386.18619643041256, 386.29647695697383, 388.49865785509826, 389.52066538077764, 389.95038048259261, 390.98141549224727, 391.07657838990508, 391.53628279111985, 392.64292530591871, 393.61512408114436, 396.0898214639202, 396.75302796190147, 397.42790359653287, 399.09755575153076, 399.79004232688652, 400.18508421552502, 400.59631851241255, 403.3965793497764, 403.67953636740577, 405.56190195176839, 405.60146583860001, 405.94796233771933, 408.6960728309212, 410.57080979713652, 412.3649975319737, 412.66577295193076, 414.32223034262358, 416.26155850643232, 416.48831134248013, 417.1586172286502, 417.23313457509715, 417.70094015196975, 417.76942511416706, 418.55642427663599, 419.62148727912722, 420.71384190783579, 422.04453688400235, 422.0982945985898, 422.46649471137471, 422.66631096579249, 423.28658976964397, 423.4297193466046, 424.0028481735535, 424.46662198854472, 424.9714754884883, 425.49994826070656, 426.45201723672017, 429.72731297533772, 433.66875998943266, 438.97115887172879, 440.48779158480284, 441.96196252038118, 443.25916685003239, 443.58786564094987, 444.24309235454086, 444.26554288792386, 444.71975235041248, 444.97349545768787, 445.88074550887944, 446.40530547235858, 446.65994930477558, 446.68790071642309, 448.23307654945557, 448.66862183341408, 448.78800108613632, 449.64341650437808, 451.96929616759815, 452.12357179850824, 453.52126221237666, 454.17607642484131, 456.87837064312936, 457.10733967857345, 457.82692921994413, 458.33804391478162, 460.32284339054524, 461.59033859772978, 462.07719792946637, 463.94399467474898, 464.39259875123957, 466.05469145186737, 466.1257081212068, 466.90815570100722, 467.55414862900346, 467.59309221174101, 468.93123099766109, 469.38314907738129, 469.48020493940476, 470.70274127872796, 473.35986353415274, 475.45109750096009, 476.54757299546213, 484.04463365710905, 484.09691401636201, 485.09475135001111, 485.79040883591381, 486.32454310082733, 487.46801442931326, 488.00560828881311, 488.94040787544753, 490.79538397158854, 491.97630640276594, 492.09375900318531, 493.34499624698429, 494.73147752860882, 495.19765115802539, 495.84160664840016, 495.9392938564277, 496.59962338913135, 497.15748748513221, 498.88267932521751, 499.10728763654362, 499.57287517221994, 501.00740294226631, 503.13909758545202, 503.35749079815434, 503.60279006468238, 506.21396097615366, 506.26458562569462, 508.96940816619946, 509.59267105990727, 510.61007364651022, 511.70523984960192, 511.74311371943378, 511.96958896764221, 512.93834426746866, 514.09117696152691, 514.42763433934988, 514.70251309844707, 514.75576135162044, 517.44044275943395, 517.65638171450087, 518.60827801755761, 518.99349705713394, 519.76687164357327, 522.74484333209887, 523.00189715214026, 523.35374597108762, 524.8007383946092, 525.30407422150404, 527.29474854025796, 529.78036308725063, 530.38587366778768, 530.96337831570997, 536.33391143659401, 537.06160831795864, 538.56334620107532, 539.22076739077056, 540.70253926330736, 541.12838096646283, 544.09525322918569, 545.4352015577665, 545.45625065034585, 546.77227433257315, 549.14138630759305, 549.70359913022617, 551.08925935656328, 554.81350118474518, 555.35838844081843, 556.51725642237284, 557.58116335462432, 557.97592576619729, 558.28518965455532, 561.8017533526554, 563.82626328796391, 565.93709473391777, 567.41617087977147, 569.60366149852598, 569.73739202776403, 570.78900278439767, 571.53651759966476, 572.88930409022191, 574.9137689556602, 575.19678664410583, 577.56275346000473, 578.75635635907668, 579.09767152258837, 579.93206195377127, 581.11497218664249, 581.3295240049182, 582.15264072057687, 582.33512938123908, 583.73046333337766, 583.75434328371887, 583.78145821048861, 592.96363438507865, 594.04603409025071, 594.07865768966849, 594.30374029028962, 594.41548653684038, 594.85343573120645, 598.56458176162459, 600.25388258548094, 600.38455531413479, 601.68977537842852, 602.32182483525412, 602.85398223736365, 602.96752669147395, 603.72879583624433, 603.99250925750277, 606.39375695080639, 608.1821006237526, 608.579018419009, 610.99860321362758, 611.58727581019275, 611.84259335101854, 612.92041616529286, 615.15618969752359, 616.03100186893619, 618.81341701620761, 620.27314169475176, 620.67554681964373, 620.83017667512468, 622.18125719981265, 625.38866822877651, 625.79908965191919, 625.98461943105985, 631.12151266053149, 631.62225017633307, 632.91802839470881, 633.11802984707663, 634.01183555346688, 638.90386586841794, 640.23281575704971, 643.89113514432199, 645.33719314949496, 645.79609134520013, 647.6921277562584, 648.66009932632414, 649.02693797643758, 649.43636877497158, 649.4860331442593, 650.27212589375938, 650.65564209886986, 652.79374729872893, 654.53804017513073, 655.09715606451402, 655.88218611239893, 656.94840158945135, 657.21084627271671, 657.24832990776144, 660.41168513185983, 660.9295205092958, 662.79429382667786, 662.82793058764776, 663.2002947754703, 663.39855192641596, 664.3241055267772, 665.45430812902532, 666.93061129691603, 667.01015217722443, 669.54520389988591, 671.53790891623021, 671.95324750024838, 673.40290232532209, 673.67409032640774, 673.90858304932465, 675.9382295122474, 677.31666710978868, 677.84349085261283, 678.49427793842665, 678.5231296575065, 679.51203341610289, 680.02638060905031, 680.42790845386435, 680.53734173751866, 681.39540130223349, 682.42334669680633, 683.11464613681778, 683.50328938538235, 685.35285137298945, 686.89653709670858, 687.40417518220784, 689.07543527787811, 689.50182906701605, 690.5051378995754, 690.61573829970166, 690.66842365701757, 691.72141197371479, 692.73088762581767, 694.7530564960332, 698.73623103740226, 702.01270528778196, 702.72602268192793, 703.44717785031071, 705.87369616956914, 708.21683105257182, 708.2606610355316, 709.15399136391375, 709.20105706948334, 710.14721476568525, 712.34040609956025, 713.553574736359, 719.27006136972591, 719.74153244186425, 720.91422790891033, 721.63883702241128, 724.10500830197213, 724.59433359418176, 724.93907364652216, 726.01173540341654, 728.59619507825607, 729.13977205910373, 733.15171373951614, 733.94918707780346, 735.1330173391608, 735.69136567178589, 736.1985421357715, 738.6343348826498, 739.01868596875215, 740.73767192433991, 741.15048755210171, 741.40093276350376, 742.13019058040356, 742.90168628062327, 743.7022985770609, 744.45202294612852, 745.56766971165689, 746.05049329082306, 747.9038482238476, 748.91418794447827, 749.01812887319113, 750.1096596265578, 750.17237494065478, 750.80620842146789, 751.84370061452262, 752.45654282277098, 752.55440484653798, 753.09906930778038, 754.40089926073949, 754.7581359536764, 756.46435534579837, 757.49465181072264, 758.01148252521409, 758.56487723990358, 759.04271084652248, 759.59711535932172, 760.14975395075123, 763.68762038503019, 764.92982078301395, 765.41440992237506, 766.80318627102417, 767.65063101211138, 769.02980974307991, 771.59724996897785, 771.88423638229847, 772.69127655772013, 773.64340706721669, 775.19819063924865, 777.30202290275747, 778.04482829283108, 778.22662805330708, 779.33380598865688, 779.80626178958562, 780.4482241771799, 781.44319283352854, 781.80584132762056, 785.15025629292154, 785.85372105431952, 786.2536031898826, 787.14280131466285, 787.81516809011214, 789.4494532257869, 790.128022946295, 790.78100207206467, 796.67481546217573, 796.77519487918755, 798.29509392080126, 799.16196814589011, 799.5471286523948, 800.9065466398464, 801.99611527823629, 805.45752678509189, 806.11949717998959, 807.92190909445083, 808.11318130265192, 808.22074218136777, 809.75031413477916, 810.05461378826146, 810.45560204436299, 812.52127147210967, 813.55379927536103, 813.61614212531265, 816.02335469723414, 816.58400736942076, 816.72314706183886, 819.6318789250214, 820.00924093119329, 820.03011110679449, 820.79807127564447, 821.37967303095638, 822.65409329433442, 823.55284056129381, 823.67516124971314, 825.19548296832022, 825.58991960572973, 825.72688975503002, 825.99136544083751, 827.24599663430502, 828.10211408342275, 828.65088269229261, 829.0565811497238, 829.8362903324271, 829.95789778174662, 830.15174207328573, 830.33422840825926, 832.34969927318843, 833.5135967698061, 833.63118034514309, 834.08260622977582, 834.45581928661295, 837.63545795804339, 837.67853148848724, 837.82717644807838, 839.44050927775436, 839.61807915051713, 839.73619699592837, 844.60108269895454, 846.59092464651746, 847.59249774370187, 848.18059288217898, 850.08764020713227, 850.44399934560238, 850.62842146391074, 851.91198198236668, 854.0509927862837, 854.15014844642735, 855.12896654761289, 855.44200733313107, 855.87925225870458, 856.60851220166558, 857.2717811965714, 858.03423117224327, 859.95901847988557, 861.64444728273713, 863.18057519239289, 864.36152179212581, 866.97651541745358, 867.2577747825128, 867.65753287097175, 868.09672500454212, 870.86768126739594, 871.53886722644188, 871.69418983193486, 872.1365854170831, 873.42120845095656, 873.44442063239876, 874.92645803766675, 875.79368201860029, 878.38641856360016, 879.22253908039988, 879.86395705522943, 883.48338176861068, 883.68631431464098, 884.35131247180493, 884.72525602907001, 886.53002089223298, 886.65935727826638, 887.21784565981352, 890.56592995470282, 891.37918855106807, 892.83325592899212, 892.86035620863709, 893.63667231586055, 893.66414243708664, 896.12657774531158, 896.54995016850921, 897.00946783048755, 897.03167721460204, 898.71876280027857, 899.2730652829373, 901.71629703670294, 905.75202649741004, 906.25412813147091, 907.53538891332107, 907.93050798806689, 908.87860835593733, 909.16100222935665, 910.35990493481665, 910.67956716693277, 913.0787201409762, 913.36818124636261, 914.7725513956741, 918.49744280511345, 921.49367448626276, 921.92987357578909, 921.9653042428788, 922.91446911003482, 923.92232544321951, 925.37405315420426, 925.86080293404132, 926.20572647847973, 927.80998099001636, 928.81021262209708, 928.95126398171135, 929.04355027976942, 930.77474291946362, 931.12379788540647, 933.59963926293256, 935.16699064974273, 935.67716736079637, 936.92453211083341, 937.08130777224608, 937.14997958719255, 937.5519983161854, 938.46572643568493, 939.03141883541969, 939.0784437994256, 941.18127249072438, 941.85833489446736, 942.52935433214247, 943.36177052538847, 945.98057755702723, 946.59208585679846, 946.97816956447878, 948.4804041815396, 948.89054593066373, 950.01431490105824, 950.8299393748033, 951.35105411338986, 953.98413280453281, 955.93412344017804, 956.33611783314427, 959.73722302993451, 962.40944911211875, 964.5784723733409, 965.69965506493816, 966.37002912020341, 968.00995420192339, 969.01011712769809, 970.43418893815181, 972.85085448131485, 973.72933230575688, 974.15335819668417, 974.91625747181627, 976.03688084620751, 977.52339687575545, 978.14525721155019, 978.28648837673404, 979.61084613640048, 980.1062467920683, 981.40946691312217, 983.25569516339897, 983.60540688488879, 984.45933913089891, 985.31446180515059, 985.94505619768063, 986.4718280678494, 987.24604915985969, 991.63347765357582, 992.73109522703339, 993.22252451390148, 993.47118101839624, 994.60180401227524, 994.69479865828805, 995.22710933117662, 995.46481729520485, 995.56880149899882, 997.07862028598458, 999.43341185110035, 1002.8232205444456]),array([23.490730009950724, 23.939575996440052, 24.122047371565117, 26.241295882113945, 26.940518795521388, 27.192876718409838, 29.164381694794347, 29.956299929714771, 30.332885530217851, 31.039476036387669, 34.436074501997687, 34.846608804983987, 35.321976364381449, 36.750156966666225, 37.436698116391362, 38.578045184527895, 39.507027186053158, 39.556363000480836, 39.733021631023959, 42.029611754773363, 43.580073420230917, 43.927311246973211, 44.669159123661451, 45.221464897444214, 47.04578098617295, 51.050586506928596, 51.576031487277277, 52.24643531937663, 53.326011237047886, 53.351709770964717, 54.195809037224365, 55.28144737881194, 55.376529582214708, 55.548895599755816, 55.674113168408383, 58.001306850002493, 60.459981438707793, 61.961302332697151, 64.732556291067311, 66.148045941080341, 67.673500716198291, 68.330746362034901, 69.414494190622065, 71.326153619911267, 76.743980635238216, 78.354647761426193, 78.921393727987009, 79.070509178883725, 80.725720047518934, 82.054236988991306, 85.294341482410843, 86.262049978744486, 87.922604982240586, 88.602589415794554, 90.665507245657992, 91.017470937697155, 91.058490119307734, 91.42530871756486, 91.504185458355224, 91.954678335639272, 92.975075970894423, 93.017604462938849, 93.269276563224096, 93.783026847886447, 95.812242934332687, 97.192678590423355, 97.834812593451389, 99.802807781872829, 101.34484006179463, 102.26146870071672, 105.31315260078433, 106.33958382810235, 108.12889909188284, 108.29310822713796, 108.32179956994227, 109.12209255705488, 111.02760055579498, 111.62140481581984, 112.42936522435953, 112.97548116347775, 113.65680437981638, 113.85563582032779, 115.07329550443919, 115.7475010878683, 115.9133811898451, 117.12403623989296, 118.11914887877259, 119.15731894805296, 120.9255152638424, 122.14296261205011, 122.39281198536939, 122.63139623249445, 123.47952535192351, 125.21483738754252, 128.37760732696364, 128.4211445288195, 129.43165951892792, 130.34558721111603, 131.66496059182955, 132.85384105740729, 132.90956338962641, 134.35273222384873, 134.41072984484856, 134.93749824275497, 136.40250017746456, 136.65133261791382, 136.94842761954712, 138.23669950013814, 139.92627310109452, 140.00993452981882, 140.73961649990841, 141.08058069792546, 142.89077726839454, 144.15987012222178, 144.58308422014889, 144.67732722859179, 145.02689506129835, 145.91893877838098, 145.95935661321062, 146.26594319999896, 146.29913726521863, 148.85273780648191, 149.29483590785011, 149.81896490082664, 150.99527465811678, 152.28619253264, 152.341472750131, 152.57216517415978, 152.98619472633996, 153.69826417256434, 156.23511699163649, 156.50466184069944, 156.81113254732978, 157.47340771627009, 157.60379209818674, 157.80413951946463, 158.76780644228816, 159.09734214268431, 159.34946473251512, 159.64462757822059, 162.43617492101447, 163.52751281248644, 164.60696312340386, 166.73278881231403, 167.09680173009232, 167.2139420037083, 167.43161961743547, 168.00998507923305, 168.55363042819181, 169.06636837700563, 170.26655719994883, 177.45102029924564, 177.51623790044451, 179.19612596866591, 180.36428347562764, 182.437148404449, 183.12454071934619, 183.2449730539345, 183.64546611493924, 184.10425236316178, 185.11593529494817, 186.82076825331887, 187.21153874716632, 192.46841544095275, 192.5938337340524, 193.06943830089133, 193.62887499374025, 197.96127201608067, 198.00978888407073, 198.37716863384628, 199.18048573782789, 199.76742747571441, 201.51006949098493, 201.55081475394982, 201.57133893082732, 202.28394986052803, 202.7101152005618, 203.64218207542768, 204.35368220004378, 208.00866908529207, 208.84592610454609, 210.3291979041993, 210.66472414103052, 212.37971036251005, 213.38424166306044, 214.46507322936924, 214.5540618142814, 217.16091184774447, 217.26411526398547, 218.37022684709333, 220.69992075827261, 224.28919180901943, 224.85407785044384, 225.78230149893369, 225.81337671992935, 228.13854334653817, 228.7837893511024, 229.87671572063618, 230.63738924280267, 231.27423363299835, 231.33056858530506, 232.77550690914657, 235.35860671813865, 236.72672886246161, 237.34676236110332, 238.15779117306764, 238.20343535687172, 238.49943437036879, 238.74806169887086, 241.43916923322078, 242.46887672277404, 244.84712367014504, 244.91912517691364, 244.95639187575853, 248.17184272922046, 251.31130053101353, 251.73387866678104, 252.67797278603814, 253.94639278580544, 257.69986380749276, 257.85309431506573, 258.08342559481582, 258.22425907343427, 260.67861456042311, 261.7172061331799, 262.10744784499201, 262.15069636571349, 264.40163714175276, 265.37290277559765, 267.00599216705103, 267.29576189528251, 269.12607751717127, 270.44135332973309, 270.78215836999692, 271.20236342541097, 272.32217376273417, 273.82970367509472, 276.17544985879181, 276.85617481389096, 277.505507691905, 278.51555467744538, 280.94939730352837, 281.32769505862933, 282.49477348286757, 282.76205266848575, 284.97874047259336, 286.02127738592145, 287.53426469194187, 289.61438825964746, 291.52494750672167, 291.68103533899915, 292.77339674059408, 293.4879997582276, 294.21295707177285, 296.13389514871272, 297.89107997279439, 299.72015460868374, 300.67322280588428, 301.07220638568992, 302.75235035509496, 303.79158087973099, 304.54492681184297, 305.50939917439717, 306.31810142912474, 309.76270374534499, 310.28629801726896, 310.37753471374202, 311.02690404625559, 312.00515679438439, 312.55441612974278, 313.17917439992021, 314.20617979127888, 314.50850067698764, 315.48685404877864, 315.91526241436287, 316.45791703979859, 317.39180081609373, 317.96324810256124, 318.08756793353848, 318.8618475357726, 319.04327025363995, 319.63344422167, 321.09515633356386, 321.61305534935985, 323.63245031681771, 323.84491849479934, 324.29195315287382, 325.43975060660358, 326.187578718049, 327.57983884647791, 328.45337892990761, 335.64831678191365, 335.7546021729483, 336.10178933215627, 336.42250359698261, 336.86546239519379, 336.88983386681764, 338.86336632885553, 339.15471105087431, 339.30187246637735, 339.86887335933608, 340.58347010203659, 343.75084103607952, 346.92651976287118, 347.31379141374816, 347.86384560583593, 348.1246665421761, 348.41184988235278, 350.20013780864775, 350.60844984137702, 352.67174234967041, 356.57927684117959, 356.93617411255246, 357.70221348480635, 357.90186530547606, 358.532182475583, 359.52984459489159, 365.47598685171897, 366.62522547961186, 369.68479307629468, 370.42482485427018, 371.81077180413672, 372.29440528016903, 372.33451190946704, 373.09212135296082, 374.20986365451051, 374.93725862125558, 376.04860372553173, 377.34771374585847, 377.6051812811636, 379.86334722048548, 379.91645113380713, 380.50124233998963, 382.12518385140862, 384.93690242108437, 386.6023959564244, 387.16575551000005, 388.57273059480468, 389.59013232111039, 390.02984950358211, 390.09387614430057, 394.1150739362655, 396.15376443931979, 397.0850184976876, 397.61459659407308, 397.94629806866732, 398.30939112637435, 398.40778224759208, 401.46482498740426, 401.57357881599461, 401.98839425875775, 402.3371761202593, 402.48308831404177, 402.51471426624192, 403.48834732732928, 404.50779809154062, 404.7495618816298, 404.88960297299946, 406.48875547847109, 407.39905744708017, 408.08040377517784, 408.17971273182434, 408.70973753918912, 408.91319405196714, 409.0775069387837, 409.7155928926141, 410.00231891402461, 410.58687780113189, 411.77950550113673, 411.80055803290031, 412.85669274551594, 414.34062003686176, 415.55833960706491, 416.16771929925739, 416.1992220895176, 416.24586461320985, 416.9544054116073, 418.45423297677735, 418.72507470657411, 420.6398808901144, 420.83530113637812, 420.93945078571414, 422.24745851018974, 422.28574186095511, 422.55869866434278, 422.61537443875648, 422.87637781210969, 423.29541481597238, 424.30958536844929, 424.61431215545537, 424.63983997165877, 426.07286352989166, 427.28494693913933, 427.41494683505636, 427.52739449249975, 427.60552784602447, 427.9699552200932, 428.03367551951203, 429.90375248836045, 430.5450272033936, 431.49632923861731, 432.19518185624662, 432.5903594494539, 433.14416766550823, 434.4168800693505, 435.74087186475623, 435.87938194647779, 436.94710766801978, 437.56136135167583, 438.49248848854535, 438.67507120058212, 439.28240017403101, 439.39154352512787, 444.59582210065821, 445.41863205970355, 453.09114637313866, 453.60402773036338, 454.45193845548835, 454.47756306869303, 454.56488246083347, 455.67932708133736, 457.43996614842473, 457.51313137320102, 457.96690533624735, 459.04497081375411, 459.94586132909171, 460.52841740925896, 461.18283152848744, 465.38001641216505, 465.68984563326075, 466.06913607642548, 466.86339683463626, 471.17896685862883, 472.18858138233924, 472.65795683638623, 474.02890168830697, 474.05983307807162, 475.19866709064274, 475.54178164413582, 475.81230631201061, 476.57147425508902, 477.0160844413021, 479.47390156851952, 479.92551951782053, 480.93600928915117, 481.48215952173041, 481.58174784439689, 481.86378015431296, 482.53632057171319, 482.7829508502619, 483.19684966176294, 484.99409185273618, 485.50171944560532, 486.00290536921602, 487.67838662951374, 488.7056049545933, 488.89692462233086, 489.25600402076498, 490.22900873547474, 496.33527450279763, 497.85237771592853, 499.13152732711649, 501.63896060704712, 502.67688947246256, 502.78296199489824, 503.35240558089373, 507.53662884269494, 508.65903638852245, 509.73105089495903, 510.49932757425262, 510.68507689540479, 510.76629804155851, 513.88996080732772, 514.98133518689463, 515.3041066945101, 518.36797933633034, 520.00200158872349, 526.46287349856107, 527.12942686142662, 528.21021015485212, 528.47322832700991, 528.54002468245631, 528.82526351237118, 530.21009791391327, 531.08278498244647, 531.15814165531219, 531.50971219917415, 531.7703388963929, 532.1844008742703, 532.30281156594458, 532.41964453962794, 532.5079809470684, 534.45262923243661, 534.62386703165203, 535.01492312009589, 537.00323067072497, 537.10393937988579, 538.31961219021059, 538.81115755533301, 539.42674355683027, 540.20403598805376, 540.74943056877248, 541.81292340659832, 542.75771791528939, 543.91761428270706, 544.78791058429624, 545.05585621916327, 546.32836965079127, 547.35446344742559, 547.49911690784552, 548.1595729674018, 548.68673399626846, 552.35337599733157, 552.57560895239897, 553.74118123875439, 554.24109571166798, 554.73509257415276, 554.75960594301296, 556.63222501616076, 556.71685333993423, 556.95708370712214, 559.04212287582641, 559.4140299014357, 560.21181244965805, 560.27876977708388, 561.7251081439789, 565.68328596181664, 565.83908247219665, 566.17382926397465, 568.23594170583169, 569.24782577990368, 572.38641004818339, 572.74710361258008, 573.84388546063701, 574.4247249863904, 574.55723482502117, 576.48496710634936, 578.06500750944792, 578.60490970803016, 579.02542411838022, 579.68914876824113, 581.24470486947428, 581.49995859191029, 581.52743638666777, 582.21310092684166, 583.60410674584034, 586.81705513625491, 589.24393423669983, 591.544881814429, 591.58930871970722, 592.90977693841387, 593.23049346487562, 593.35485504356518, 593.66260475602508, 593.95417190933119, 595.48310651879456, 595.76564733577709, 596.74618765671948, 597.20935093016362, 597.70121299980633, 597.89667727600147, 598.15601458234858, 598.78157015708064, 600.08758041312376, 600.3126044141311, 600.84983962733259, 602.50934784062144, 604.10753349455581, 604.86216944168871, 605.77358423728504, 608.85090341613522, 609.63840534928204, 609.76846101792194, 610.31611210587118, 611.07937367042041, 612.80791338927588, 614.46457552356685, 615.29162224222523, 615.38389683689934, 616.54624354485418, 617.61944456140338, 619.02363243233879, 625.42449100329873, 628.47890511657806, 629.35873887143543, 629.50691414215078, 630.50814967550957, 630.82300707623506, 635.03907258901359, 636.57373145337613, 638.1921120169153, 640.33817879937635, 640.82376580826269, 643.43415097445074, 643.95005936611915, 644.34567489350979, 646.1763962935147, 647.48202892094469, 647.87460690524733, 649.65366189881877, 650.49600248481545, 652.27061951911548, 652.39155402799747, 652.78623251402735, 654.09845818719498, 656.2812652211511, 656.37631369822373, 656.81404898864002, 657.34152248298471, 657.38093423167345, 657.74274668478074, 658.09029417905617, 658.47138127484334, 659.44937738077704, 660.42657973573785, 660.76369180095378, 662.40306549032596, 663.57970026129294, 663.85772298924439, 665.10620377709972, 665.16945637285107, 667.34450769000466, 668.90807047304042, 668.96659812348332, 669.22151465987542, 669.25108388586114, 670.60471608993373, 672.07940072198733, 674.06564641329055, 680.4842992405778, 680.81121058991505, 683.41029516270532, 683.53069131451866, 684.56682798087922, 685.96717486563625, 687.67439793932408, 688.60662931735556, 689.97614031962621, 691.20833064061299, 691.57959675494476, 691.94398173818672, 692.16506751702934, 692.39306150742709, 694.87293921505648, 695.30586949856092, 695.38508678352764, 697.30240960711558, 699.30992965918495, 700.48614341265181, 703.88057983529279, 704.28137325397904, 705.78822463632662, 706.72168491865648, 706.74915494944582, 708.03826030535151, 708.2919004252177, 708.77675990338787, 708.91860236271407, 709.70685608528311, 711.52092378705231, 712.53617188850126, 712.82467506558817, 714.22177541414442, 714.50289373297949, 715.08058071810137, 715.45145146944765, 716.51138739145335, 717.23697833668336, 718.84063472584876, 719.0607248980134, 719.20759144165311, 720.1768141383684, 720.77690010131641, 721.78192533853291, 722.04904212759061, 722.27023869799018, 722.32508617002964, 724.71795612163487, 726.53829115579686, 728.57219195672042, 729.67028483179502, 730.21088681144874, 732.23199178161292, 732.6729672861826, 734.22708831360194, 734.36606632209043, 735.0717994200586, 735.79709808433824, 735.88881997240708, 735.96866520983906, 737.16449992105095, 737.33170701144081, 737.3918301977584, 738.56988954220913, 739.03040087796614, 739.34792966391387, 740.07455676831398, 740.64453043334902, 741.53594866145374, 741.72903937990395, 743.64134013776686, 747.43233028848374, 749.43421746153672, 752.06752731494294, 752.42202593343848, 753.07709262379251, 754.23026747368499, 754.54727590548111, 754.65380640638568, 759.05417072215664, 759.15312278530973, 760.9946414580802, 761.40030711000236, 762.03168979968666, 762.55068261108033, 765.05803612004001, 765.39594632443993, 765.80990898616437, 767.01559380356969, 768.18404044202418, 768.32579517030433, 768.97619943812913, 771.80057465791208, 773.16370336058628, 774.36184734109327, 774.77427855561859, 774.94481230113252, 776.30547258731315, 776.73109266371159, 779.55552035612845, 779.71544473355289, 781.08238314410232, 782.46740868594497, 785.90279910584388, 785.98718058047086, 786.02340994020449, 786.4352579196061, 786.78345845485808, 787.14424025451456, 788.01635629390375, 789.59943210088818, 789.70796028165, 792.8105357892772, 794.44694569466787, 797.01319603947275, 797.06293830035884, 797.22202706151472, 797.43061900296993, 798.25191040365905, 798.51524606538294, 798.62120866171063, 798.70715416598432, 798.76055293014304, 801.30436621538308, 801.6132463638628, 801.93612949114015, 808.64218755388004, 808.78306206031982, 809.53159667116483, 810.38731253576429, 810.61770787427952, 811.97632465720642, 813.14825389323596, 814.63642828415209, 817.89607241330179, 818.17527746747646, 820.65127823265686, 821.1178408813887, 821.40663108086619, 821.88038906434429, 823.53133636331006, 824.12625480888642, 824.94684231822146, 825.01904424874374, 825.16482481273556, 827.98507113972892, 830.30893127594675, 833.42574362126129, 834.40490075012156, 834.71302010842703, 839.40944706432742, 839.59759191206558, 840.38937386418866, 840.59754529421377, 842.02525394136603, 842.41411760109122, 844.82824040043738, 845.53737818889942, 847.5438851645448, 847.92411800620243, 848.29108044455688, 849.72754252295113, 852.34273553851381, 853.11823753017256, 853.30136372348784, 858.21606533918305, 859.06538265387258, 861.81131579971043, 862.91475120923099, 863.02574000161565, 863.45386423451657, 863.92691478922961, 864.29569863247264, 864.84988142626298, 865.05488187912545, 867.84979538292589, 868.19214755843245, 873.26019943140807, 873.31448881586005, 873.68305874148382, 874.52815247090427, 874.83264334934006, 874.90424091321438, 878.60706762333405, 878.89714839694409, 879.86643358068443, 881.73308550360025, 881.89192986518515, 882.57583014500324, 884.38902043244798, 885.26592137887781, 885.80365419698205, 886.619539856963, 886.94627592934785, 887.12650600464849, 888.95344589110698, 889.39326950346629, 889.59692894133423, 890.30065721854749, 891.69061333483023, 892.3443329032774, 894.75845537551788, 894.82563906098915, 895.82246591821092, 897.34046661468744, 897.9759803047873, 898.02903233033646, 898.93613035561418, 901.83486128116135, 902.89767449670137, 904.2685449032964, 905.30270460899214, 905.71281041235034, 908.76937907102615, 909.8352927379442, 912.04601540723513, 913.52656970659666, 914.61741617078405, 915.47414323809653, 917.52486000253816, 918.4684232753259, 920.73075528521917, 921.38593102077175, 923.42970738768099, 924.86734131359583, 925.46964874434184, 929.65432643451777, 929.72338862460902, 929.97702808062354, 930.3626505110376, 930.61605527581071, 931.78593212291287, 932.32086419849134, 932.60665361305371, 935.19490447899841, 935.50320705929994, 936.32371698535633, 938.04231261604991, 938.42486033890009, 939.06950234510407, 939.4787390589546, 939.67780818470283, 940.10329389838716, 940.64350803371542, 940.70954759366475, 942.63511933668758, 943.10590678823951, 943.67287502928798, 944.32352527732917, 945.18758861673086, 946.45286038629285, 946.49959162257767, 946.81722306392214, 946.99464634893968, 947.05874747226324, 947.88737951145106, 949.41411537606939, 949.89334234195576, 950.25126642403768, 950.82634796963816, 952.74513374215883, 954.29338099402685, 956.85082211049064, 957.21395236528861, 958.31405234375245, 958.40783100623048, 960.44467730971837, 960.89237062845098, 962.40987866204887, 965.02740176648388, 965.88208981879427, 966.09306183957221, 966.3051748242176, 966.44427401464134, 969.13123294858826, 971.60936519460745, 972.35487155333249, 974.20034246716341, 974.73195590690943, 975.20083640111091, 978.08413129799214, 978.4038980787509, 978.4373244890055, 978.52822799503042, 979.91140114773759, 982.54073042419304, 982.57879960996013, 983.56461220116921, 985.74062973229957, 987.32733807740738, 987.53676696193361, 987.82671734438566, 988.76298800662823, 989.246572255459, 990.78008232508421, 993.68614346695017, 993.73612863328492, 994.43709867295058, 995.60219611889966, 995.66686588457765, 996.16209876631012, 996.74361616809995, 997.68668114573086, 998.23333712510941, 998.74648140766942, 999.451601452516, 1000.1402741354474]),array([18.442468649998222, 19.562042574379248, 19.896759809999438, 19.996098309928875, 21.586008776211315, 21.649176644674377, 23.050244045888824, 23.364179213698147, 23.436155880792317, 24.01344929689234, 24.933573031069781, 27.715940167113306, 27.818958300938466, 30.462861431232085, 30.619766262119569, 30.971325018522109, 32.707575745897508, 32.763494137975236, 33.069941797221254, 33.41746859054706, 35.201849083058747, 37.686606998799533, 38.534246203028083, 38.622044601921196, 39.508120681380639, 39.913694621123568, 41.790893082217359, 42.258021152966606, 42.426891005234296, 43.237641007750689, 44.026675985729661, 45.136680469255232, 46.83378579987545, 46.936970619418737, 47.038684671024974, 48.145403473042386, 48.807056039031885, 49.201786847645977, 49.274708757580484, 49.983039905746324, 53.291437740199328, 54.209757715777791, 55.220569385387989, 55.53340834959721, 55.756944319183781, 55.977166054548427, 57.009877599227551, 58.026435095685017, 58.85224581027596, 58.962189557112154, 60.897879110196506, 61.060311929381378, 61.404111134382681, 64.865390729890322, 65.227301892042036, 65.477485519100398, 65.894509231338034, 72.023790024247276, 72.303318979280647, 74.714355276931499, 76.049048462724542, 77.436999906361521, 78.800061920173206, 79.190588166145503, 80.73691907008623, 81.608633299034992, 82.250184249919144, 83.433221013681703, 85.727616110718557, 86.162529382292391, 86.729372432958357, 88.385537640535119, 88.469343388871792, 88.874468399461065, 90.211307097449321, 91.347115710150291, 92.351363689052192, 93.112808206736574, 93.392852146863561, 94.473852385699118, 95.412644351548153, 95.511676936554196, 97.332449737993329, 97.533395300914137, 98.070505091263072, 99.938664669024135, 101.74048670323545, 102.77720124277879, 102.93254967999898, 102.98913696743023, 105.45361861593905, 105.80823591283612, 106.82025840675296, 107.11468490209863, 108.89889114191186, 110.84372888377915, 111.10651153606871, 114.09720369175993, 114.96294407373996, 115.62069723057779, 116.63537342630555, 117.19514448036821, 117.68029733130398, 120.24878514446402, 121.1338839097578, 121.4444664830322, 122.95925390562658, 123.61501373530606, 125.00269589259212, 130.88280581767077, 131.35033563162159, 131.5436837775616, 132.00524876032816, 136.06155722572288, 136.09388035413721, 140.21018418782134, 140.66096099683389, 140.87004186242521, 141.56389238415144, 142.05440940905206, 142.64612610651469, 142.86921375647549, 143.02935154865332, 144.37802546025048, 146.75844565749591, 149.18600159695603, 150.05753890027526, 150.31569053319632, 150.47046824686754, 151.10363461071213, 152.92470008153893, 153.42424465287556, 153.56844943679474, 155.16425707299246, 157.16959184856361, 160.66234443415541, 160.75594161216461, 160.87481948122021, 161.60987108615731, 162.66788265065682, 164.48855709659543, 165.51630507757213, 167.44070130285218, 168.28007815215858, 169.17846913685682, 169.82686991989885, 170.50027445765912, 171.39393886585944, 174.0560229358006, 174.35609179442989, 175.30625402785051, 175.40835094708299, 177.82153402554937, 178.0611273356117, 178.50836695432383, 178.87053435849558, 178.91321669879679, 179.16093974350082, 179.55419346066176, 180.07715147723815, 180.9733414832568, 182.58932118675082, 183.36082373307536, 184.01412940218009, 184.44672802116946, 184.94625193922428, 186.64099233367995, 186.80357697818133, 188.31246286978688, 189.97034973090391, 190.39078508693129, 192.20372119190395, 192.89342875755045, 194.46201550032009, 195.2863175970765, 195.43346456119525, 197.35596040630307, 197.84078136477254, 198.34227612646563, 198.96119874250766, 199.91748327851781, 200.6803252759172, 200.85176543099848, 200.93840495776954, 203.13537941823051, 203.39851630047579, 204.34004652669654, 204.44172078201103, 204.58505336853466, 205.72831660583358, 207.05499253829308, 207.09759393536382, 208.72741556106334, 208.75055779096169, 213.2857825158207, 214.96445779469528, 216.79752616669876, 217.0067049415608, 217.36434344609896, 217.83019461504736, 218.36996341615813, 220.10722583939682, 221.54583292197142, 222.5021605224463, 225.97986223625287, 226.99808943286112, 228.48401167614259, 228.83727059182144, 228.87847668226487, 231.30993583440724, 232.02684606642339, 232.05110906700102, 233.24937251819711, 238.19710886902698, 239.18872737227733, 239.31506271216358, 239.3857948388262, 240.04449351133911, 242.65903132197039, 242.88565745604666, 244.01307552462924, 245.71676233387169, 246.81060112150035, 247.21766475953706, 248.25090696988326, 249.18891315316043, 249.38845181862868, 253.76734666739347, 256.18579137782427, 257.0944146461477, 259.95335003880808, 261.54396686444744, 263.10700929668843, 263.28130254656077, 263.44427716279921, 264.05199806456341, 264.14763720912623, 265.34572027778768, 266.79498882798049, 267.23501269336828, 267.82618459672926, 268.01887575845495, 268.07040255844794, 270.76335129164562, 271.43053449240193, 273.40367406589672, 274.16191793158816, 275.7441979039466, 275.93901232293666, 275.97274604376173, 277.56911984719699, 277.70655378600549, 277.90149357243496, 278.83353160196981, 281.13492022391023, 282.14170070946477, 285.71623581581872, 286.43512369216762, 286.78885752339028, 287.3676433869249, 288.05103759165127, 288.68663910110274, 289.39302086892025, 290.7192173329023, 291.88072015791323, 292.29290980880853, 293.66043271913765, 294.68829626142229, 296.15533381915094, 297.27237437853938, 298.95685089959983, 299.54006123356066, 299.98377033964772, 302.57369704598938, 307.18682095210846, 307.68506794370541, 308.8334327240085, 309.26781859291248, 310.20868412432935, 312.99586368303244, 313.07956874034204, 314.48249223497373, 317.72778488866106, 317.88053511806891, 318.5021988599554, 319.73310136683779, 320.26301005513216, 321.46647077480469, 322.52763621372293, 323.91335627354948, 324.36720739444382, 325.12382559523326, 326.48205371384182, 327.72137236873016, 328.38139210211602, 329.09482413226743, 329.79521513670056, 329.95903461010005, 330.02282167333675, 330.19249294409195, 332.20099173903668, 332.41276663411242, 332.92059708948443, 333.20343685620156, 333.50273998136134, 335.73731742701023, 337.44792223050877, 339.86854161337214, 340.35499196779926, 343.56840763068033, 343.81450254794606, 344.23500435633252, 345.13592764348516, 345.29982668909457, 346.37856744031717, 347.04008400061224, 347.78249733766495, 352.94406120035319, 353.2746930729428, 355.03759712702026, 356.49910445742813, 358.53605719255319, 358.894388861697, 359.58055144918035, 360.21273416993245, 361.15414716404331, 364.03878483482885, 368.4897167191512, 369.99797140688611, 370.13104164946679, 370.40480673347241, 372.16181904368642, 374.29220715684801, 374.45698631186366, 374.59126843313862, 376.13190980319126, 376.25291453498306, 376.81807479879114, 378.08729104320673, 379.50505358348516, 379.7905225291874, 381.41507497501317, 381.45697702465554, 384.29255191179118, 384.44207077501483, 385.40418799169441, 385.53123404937526, 386.10177443241457, 387.9015187363816, 389.74023330418606, 390.06771997021144, 390.83534698008594, 391.86322617568737, 391.95753025234285, 392.71581307020119, 393.44807506114131, 395.80534837631478, 396.22638768576428, 396.49965476706137, 396.65526278570064, 396.76684360336208, 396.80645623357367, 397.48906861802351, 398.68285135677644, 402.64054141889147, 403.67387716830279, 405.33574326253336, 407.86305274397694, 408.78986985701545, 409.16331504628187, 409.69635931534805, 411.51301739994324, 411.55858030810481, 412.81268575864192, 413.2206124619276, 414.27860868723377, 415.11049748651169, 415.69897874871862, 417.17656574450683, 421.0173130607393, 421.48509019782585, 421.91473999202486, 422.78874655163116, 423.45838146986262, 423.57085741936743, 423.9758229420741, 424.09470108910892, 424.57305473438691, 426.46858122221442, 427.03438765249916, 428.31758436567463, 429.30954837390055, 430.03855805294984, 430.55795649074247, 436.49823439764532, 437.79961051388761, 438.04220286662172, 438.15219561580261, 438.35099129286976, 439.29297967017806, 441.40110287973118, 443.54754244286067, 445.6531721012891, 446.32162856576105, 447.08232942693684, 447.8345924525218, 448.00054353799624, 448.59053746587307, 449.5446606865774, 450.35428365253614, 450.74845315073242, 450.88008463037852, 456.74277215548619, 457.61990574346356, 458.96985442004393, 459.65572156637097, 460.63136171279001, 461.6474587743196, 461.85574491411012, 465.13877804276325, 465.65391851787132, 466.63530197471408, 468.99518813534911, 470.34865403257891, 471.30771962016632, 472.12172773758135, 473.30443362622788, 474.99948319293986, 478.68814866287511, 478.93508510153242, 479.11398932631204, 479.23095455484804, 479.89335926542407, 483.35308385275079, 484.83595713424501, 484.96261199726553, 485.51493769329511, 485.92078111534795, 486.0842798770401, 487.8623133039157, 488.04371879293438, 489.00371152042146, 490.42815828141198, 490.49142988174657, 490.97589938752515, 491.31739311483557, 492.11355620678063, 493.09894450940493, 493.1942395082408, 493.3514838315084, 493.61789907966744, 494.76670333533326, 496.15839921216485, 496.19859159408963, 497.42102792319156, 498.75733071363157, 500.84294813879256, 501.00127338023361, 502.04770646361288, 502.41013479698603, 503.66414133789942, 503.79218280157284, 504.15845232993161, 504.61015589688157, 504.68374379866526, 508.83680268455907, 509.43625153107945, 511.49723191525413, 513.45380624151039, 514.67816631949574, 515.10398757116241, 515.88010964452985, 517.29486285069004, 517.55651719900811, 517.6216564391076, 517.79356481099035, 520.09758537887626, 521.89503194606652, 523.11362025429025, 523.83362615372323, 524.30740471897832, 526.05345424415191, 526.37282075059284, 526.71171887361982, 527.13421869701949, 528.13687715847834, 529.46224937902923, 530.36309124299942, 530.63047390633346, 530.7241048457721, 531.09133758128019, 531.18785923871576, 531.60743165788108, 532.67786456263889, 532.99302534118522, 534.05893971500245, 534.15216552622849, 535.01004131042873, 535.9516520631372, 537.34569231651892, 537.88144376175489, 537.94946922643646, 538.01177494837066, 538.12596515111136, 538.53212238653566, 540.14762726112235, 540.71065411535346, 544.1446209646856, 544.26652751490667, 544.98024883468952, 547.23624437510648, 547.60920567841902, 548.10440983008618, 548.59271053469581, 549.03795714846342, 549.43282284754639, 549.62236525410378, 552.51151792169082, 552.90632294308398, 555.01117790412479, 556.26161569378985, 557.71806066350553, 558.75436745236993, 559.30596576644666, 560.20180536713156, 560.6265669449698, 561.37285287533177, 563.11836269526498, 563.44195583298972, 563.78571439392283, 564.10332814570086, 564.12743757754208, 564.38833202757871, 565.35733708370594, 565.74793905505737, 568.55156725910342, 569.26918683970916, 570.55371252139173, 575.80531435806881, 576.50426942049455, 576.91400240610494, 577.04043000892295, 577.39796543282421, 578.77721688118004, 579.77503933945059, 580.2395046106883, 580.76149569605627, 581.77816970573417, 582.81479675147693, 583.39437754613539, 585.91738118261026, 587.98553106473196, 588.7757842953107, 589.00647817215247, 590.26759454904243, 594.6217011973846, 594.75715426848683, 594.9587711706173, 595.22116497576496, 598.87926047200051, 599.52498143489265, 600.18116573005864, 601.27287174637013, 601.49183850930774, 601.75087911625963, 603.16991971125105, 603.21081451161137, 603.99634810955104, 604.3804822384659, 604.63273581292083, 604.94725487388473, 605.75172956463882, 606.1769295339094, 606.43343353655189, 606.96263838741709, 607.47271936090988, 608.11386674425205, 608.29974686575815, 608.38987583226469, 608.76490773326373, 609.67667698859134, 610.34666986935451, 610.60547698778794, 610.80106543360682, 612.92829213791913, 613.23262067402936, 613.88880763008342, 616.31720584854952, 616.45437131362451, 619.87371509264779, 619.96906294822168, 620.71992939506436, 621.3280963863474, 624.75001869332289, 625.41083232889559, 625.49607319199799, 626.23102129040115, 626.37174233370706, 626.71821101119338, 626.78100433416307, 627.30098565252592, 627.40260692002789, 629.0355192056262, 630.59544587713162, 631.96650103367654, 632.18533438431598, 632.65040022844414, 632.87879588649196, 634.25189385310557, 634.86685905738784, 635.20897177137488, 639.5537459728647, 639.70530228190455, 640.54306571634652, 641.1326081496934, 641.68639464754062, 642.58658675394963, 643.22166112962873, 644.64530786606997, 645.77267733950282, 647.70631793837458, 647.81769626629318, 648.29632883863303, 649.44521348729245, 650.37981875815444, 651.33758565502274, 651.68713925145641, 652.08274658362598, 653.09559073359344, 654.88928947786326, 655.88039559468882, 655.98186789424915, 656.53353006911482, 656.84549962151164, 657.438415644256, 658.6873203016695, 659.49610783513549, 660.35985245891072, 664.84268020465765, 666.23838885915563, 666.42570261072001, 666.89701370862497, 668.70840283416624, 669.73466908584703, 670.94967810910657, 675.65163079657759, 676.36570106907811, 677.0521009425031, 678.66947694264491, 679.77913245221191, 679.81812483564465, 680.59345043244582, 680.63259696112345, 680.68978078354223, 680.8919879931052, 681.6173944469989, 686.09583814866244, 686.35851052213877, 687.05798814422076, 687.21560737826337, 687.5459491673538, 688.27805701605007, 688.95170511242065, 690.97490304921666, 691.1891518156516, 691.70949706484907, 693.29274686672272, 693.48675745206663, 695.42405014499911, 695.64763058437859, 695.93114825464897, 697.08107267506841, 697.23941426910631, 700.00791834856, 701.65317905718496, 702.80552524254301, 703.16934443581681, 704.03713660491064, 705.58395324762671, 706.45018205473912, 706.58778200245047, 707.27388098112408, 707.59411106482378, 707.89105986009554, 709.69681308729673, 709.73096246089631, 710.21511665987282, 711.97227904805857, 712.25896479655614, 712.61322526754668, 713.76139339417455, 716.96421475595901, 717.49537848484533, 717.821731490199, 719.43179369131826, 719.55622458237974, 719.83995615411709, 721.33390149252307, 722.71695923809784, 724.21545599829778, 725.23765758354716, 726.34829647101265, 726.88629816497223, 730.31739874065192, 730.89413328210355, 731.41395903782234, 731.76495189579327, 733.50665395856981, 734.09263086498402, 734.30862449143274, 735.5048071261424, 735.76733179022847, 736.14406306380283, 736.73854126957474, 737.22002461576346, 737.4757290956029, 738.51926959225023, 739.70499062093597, 740.02570417305412, 741.58882095656361, 742.23758092103969, 742.44529717358819, 742.88793741910297, 743.81065113547334, 745.71150792044205, 746.30027141264179, 747.24367913469644, 747.92024773103367, 748.36726079613391, 749.07671823800922, 749.52706633106618, 749.74014397278654, 749.8128948925571, 750.60110347360774, 751.29286076285371, 751.41259952738073, 751.66060724850718, 752.05821455462444, 752.20014284325168, 752.66966138638497, 753.86390218900829, 754.96797928627632, 755.11176275679338, 756.27355773901957, 756.30946927342598, 756.33938956813654, 756.96028572913156, 758.29818044082378, 758.44601151458096, 758.68816976730045, 758.89852412578625, 759.78277929153228, 760.56432726962805, 761.05362842424813, 762.67073268724789, 764.94040456058019, 765.75749456133804, 769.58573301235765, 771.24389542759491, 772.78415789822645, 775.25065853685658, 775.27410426208132, 775.42584841688915, 777.51927111039811, 779.02542181292449, 780.94332483342725, 781.24677877932822, 784.60270200355262, 785.72726155048349, 785.9622284435651, 786.82531426268258, 788.2956775629309, 788.76118980443084, 789.46058932702158, 790.17484349925758, 791.9195014378372, 793.64230430807856, 793.85894690137616, 795.85246646884207, 796.75084665770692, 797.40057714251998, 797.81422227134692, 798.25611058648758, 798.74747273261141, 798.90975525685201, 800.11871053425773, 802.8748708722768, 803.08349210956055, 803.37198526466102, 810.2893717168015, 811.07890224152061, 811.38570219899725, 816.83702137657394, 817.6369532158219, 818.05823330718715, 818.11197957950287, 819.05849127365911, 819.21668147274261, 819.51691630874689, 819.72452178755043, 824.63058877569858, 824.79053096706207, 825.3687371748789, 828.33986288816118, 829.54161033065793, 829.5888540496918, 830.47322268279254, 830.65492299377274, 833.30865863209658, 834.41117882631977, 834.57808395955249, 835.17085858157952, 839.10556106396803, 839.48116903396419, 839.68198228515178, 842.34375146513594, 842.45243675739198, 842.97144268776094, 843.89783225963254, 844.20266220862675, 846.34790502015665, 847.44569459822833, 847.52833368914696, 849.52875605201166, 850.1378085081875, 850.5359702242348, 851.11309976184441, 851.29969421218357, 851.55767377310599, 854.61056460851239, 855.85435352909951, 855.92857281869465, 856.15241152379917, 856.17518545195389, 856.98729153972818, 857.98821830404358, 858.06616331098417, 858.14481355958128, 858.54894959342914, 858.96418815201048, 860.32250823789866, 860.62419620768208, 861.33962965935609, 862.57774383951357, 863.53552441680699, 864.09134815721154, 866.06668287251239, 867.36530651204328, 867.61774294762552, 868.01785943910204, 869.01594289377442, 869.42588907276036, 869.45335414689453, 869.60357720254945, 870.32220694125692, 870.48928136142445, 870.73024361864179, 871.57506807006985, 871.6956571467216, 871.78418614966233, 874.63031347669016, 875.03638543069064, 875.2084314707248, 876.05765466499417, 877.33344379858011, 877.85979992879527, 878.57892364821919, 884.7472361750597, 885.36043483704304, 888.68472903653617, 889.77537941955495, 891.14139853798054, 891.18466618752643, 893.62239617931402, 895.89393820043711, 895.97593378616602, 896.13770950209562, 896.79602469248164, 899.08390600914913, 900.22782794222815, 900.37868952763824, 901.50971041621688, 901.88207786690623, 901.98314335254918, 902.63449090034646, 903.02474164248395, 904.36119490536862, 906.49752122576365, 908.36995964819448, 908.64775213657322, 908.73307377087178, 909.07348590500089, 909.17068913123671, 909.65937775566431, 909.9101452519177, 910.74138047233646, 914.06126652919522, 914.53454747144735, 915.23410067396014, 916.05216886537357, 916.54328941467327, 917.10340750151192, 919.28431061182039, 919.32791203952286, 919.49509489267814, 920.76861862253031, 920.80713727908619, 923.64426311028171, 924.02538170995933, 925.65216080165158, 925.6856704262176, 925.73063172460274, 927.95948159308296, 928.78498870367821, 928.82158279823364, 930.53781616926187, 930.59012942633444, 930.77122386064252, 931.60825313575378, 933.13527017626848, 934.38261093944777, 934.68385360469063, 934.98366833730529, 935.12022829422529, 936.05486023806168, 936.36536719605442, 936.68331852435767, 937.18553419751083, 937.23195881160734, 939.07851713932712, 939.2222006079262, 940.00285489579721, 941.44895753437447, 941.48163568181712, 941.59699160265757, 942.8357064256129, 944.75029515072174, 944.90474082064839, 945.79635314509756, 945.96957280598883, 946.70180880747148, 947.94450279125192, 948.5359754662976, 949.62916450265425, 949.68687674535249, 950.31937857151195, 953.21293269032742, 953.43036396739592, 954.20938571631928, 956.96278211342451, 958.91049813804636, 959.11094017042672, 959.14469969230652, 960.15514327800474, 960.39937694144044, 960.60176796715382, 962.49294369710856, 965.3111753995754, 965.66248762742327, 967.64245048970804, 967.85399190323017, 968.5767021269337, 970.52852753474508, 972.2969482496145, 972.43106622519497, 972.94785370521231, 974.97601638414858, 976.27031589189983, 978.18771660354093, 978.26562261357662, 978.94541562402503, 979.81010532381629, 980.97115768018512, 981.4662113560488, 981.89707991354896, 982.79707561365501, 983.10024742951657, 985.99692528083051, 986.78697288904971, 990.27673895264229, 990.97892073336982, 991.24761701182524, 991.45491123931436, 991.48691684657547, 992.97941453951114, 995.0208107181968, 997.00795102113011, 998.08854020763977, 998.9837270555438, 999.78580850918092, 1002.7053526396473]),array([25.244810273165143, 28.394881858248809, 28.626409997237509, 29.236164912138779, 29.29000852684787, 30.193963565632071, 30.965915422050465, 36.530835028139549, 37.060949725205333, 38.577474755816098, 41.708447027097179, 42.096195189055429, 42.645443601821214, 43.873799206657033, 45.408879056732999, 45.841603377779741, 46.165859486746783, 48.863728201123614, 49.532874594958095, 50.090959533410356, 50.676644016996946, 51.350522536633591, 51.562943153838191, 51.987367311787715, 53.755324517366297, 53.869467803932672, 54.391967782355977, 55.913614801480421, 58.191987225003651, 58.973981218574806, 60.643264970047298, 60.787891111307502, 61.56377672865078, 62.671697746982836, 63.074356340669326, 63.58617232103353, 64.873617272799123, 65.421654002214524, 66.707439253146816, 66.966544183450523, 67.461085374617767, 67.624717611578802, 69.980372770807065, 70.221767789465474, 70.466764403712645, 71.092671079338288, 71.639291354638232, 72.599626562806719, 73.833663538521378, 74.224381359726365, 76.206585621021674, 76.65014808184263, 78.790722501362836, 78.987023812971614, 79.287646794863548, 80.230170792289883, 81.671360551592315, 83.10155123046539, 83.863937139604118, 84.141166952833302, 85.131558959502243, 85.969362282432286, 86.863143677477197, 87.218733064954506, 87.386368587253003, 87.499886741269066, 88.667796308749232, 88.759975295792515, 88.933186509444525, 89.270782630538605, 90.688317491390663, 91.495610169561061, 92.160676031908466, 92.376157192952192, 93.233906198196578, 95.488972718115988, 97.800330167339808, 98.199280341697573, 100.22503177554842, 100.80512710704444, 100.882876186582, 101.19952965735216, 102.04776043192116, 102.54832324622183, 103.32660632697977, 103.53033251121759, 105.37098971269215, 105.67671396755604, 106.24624377825447, 106.96280027940249, 107.32670343757319, 109.83976956739843, 110.61424007754901, 110.9862176883212, 112.45369137069659, 112.78723057014075, 116.69434153048367, 116.96675284137679, 118.87483276114735, 119.37829206064201, 120.70566315229547, 123.50465669093262, 124.05291281701712, 124.26900039230027, 126.15425867195408, 126.54687642245452, 128.74700200428512, 129.21790817036896, 129.53260356673778, 129.78730868299857, 130.10457744568944, 130.68588314419469, 131.20365585615309, 131.55636706931296, 131.71824998978823, 133.21308642197533, 135.52697250944496, 136.31778200873219, 136.94673329167179, 140.83073144056669, 141.0006569286943, 141.26429203399871, 141.46161962882354, 144.74995405137338, 145.25540432480577, 146.94295821924487, 147.82261585101372, 148.82425124198693, 150.88838711246015, 152.04600116525378, 152.43857909014463, 153.26653573526016, 154.06220371993933, 154.67722549731326, 155.60177341120956, 157.15418571093093, 157.73834108823587, 159.97454683897612, 161.09552036813122, 163.13544828277981, 164.75697669007437, 166.60085365904752, 166.78555285916894, 168.23996397144862, 169.77538021945139, 170.35817156545374, 170.80847418974125, 171.58366958310378, 171.88405032263043, 172.50110206062325, 173.29276707657758, 173.51294699177612, 173.78327673555503, 174.82355568162194, 176.00821961128636, 177.27097534536099, 178.1980134375346, 178.32967482868023, 178.58225259414468, 179.7915852258032, 180.57775052549238, 182.00663962474584, 182.11957760965458, 182.2044036204592, 182.6299278600834, 182.98124090907876, 183.89018227451248, 187.90541641925469, 188.72435359282471, 189.34721200718133, 192.07302658125715, 192.36250447918877, 196.37668145141748, 197.34094841771156, 199.38187708874369, 200.36733139295333, 200.7574668637271, 201.51466531475478, 203.12881366002608, 204.19115218323944, 204.65328963939686, 204.99260777473035, 205.0661325599832, 206.35997046370858, 206.52850328582878, 207.30549604917832, 207.71556875616815, 208.77195648857969, 208.83789002160771, 210.34179115199433, 211.73636292777172, 213.59149808924167, 215.56143329272183, 217.89893297769342, 218.38610181472723, 218.41821327467781, 218.69663446270971, 222.65089788929862, 222.96373687134076, 223.35332841298262, 224.52004989341009, 224.99570439050925, 225.14176472322336, 227.87311422201063, 228.60371009914786, 229.50669988401629, 230.18644321403914, 230.67499786267311, 231.02660785240687, 231.80539705171034, 231.89344916451387, 232.0843488174844, 232.9758489646687, 233.66463450682716, 233.75512428707287, 234.98806351356436, 236.54971302672246, 237.25290941300457, 238.17577895908664, 238.82405796249446, 239.38573318546167, 240.28552123327216, 240.37982447429147, 240.42472384702228, 240.73721713353501, 240.86049610540198, 242.86074749583699, 243.65751486421854, 244.00757278114298, 244.18777167018027, 244.71892257166081, 245.03476283955158, 245.45723096667646, 245.55837447916696, 245.7418996580779, 245.95501771439362, 246.04056896578911, 246.21273164102843, 246.69348054047177, 248.6500143163384, 250.42893119795426, 251.30739889500273, 251.92441573658209, 253.40479134807961, 253.67514201109969, 253.80095039078427, 254.66871483878074, 255.59204671829582, 256.66266027603541, 260.57356794555909, 266.46315575796285, 266.73055411211266, 267.37910218407677, 270.05130376176635, 271.1756385847259, 272.0617606753292, 272.31913512287309, 272.61094401944996, 273.9218159031488, 276.38974965100186, 276.70214088191352, 277.03082670119409, 278.84987823056116, 279.75072476560922, 282.62002133074395, 283.06263965187514, 284.26180901252138, 284.49863186979911, 284.91157705707315, 285.76782329863823, 287.61737969998421, 291.97904606765906, 293.43548942184452, 293.92963132321933, 294.20862357655074, 294.65666706488247, 294.78346540386087, 295.57206634976569, 296.26484175736266, 298.73838597653327, 302.26903523886193, 302.46166655705366, 303.50906341564615, 304.15750117215015, 304.51915685682485, 307.21843407346387, 308.03091918364362, 308.89673819899991, 310.79191588036286, 310.90685506544452, 311.14146719344865, 313.85662215092378, 318.36816001455446, 319.81672021148324, 321.84975462138658, 322.98449922922487, 323.1993120658226, 325.87356779617073, 326.5412625873015, 330.3449858864243, 330.72575750242567, 331.77195459014564, 331.80470222427061, 332.53917022711084, 332.68894959475665, 333.45680880290826, 334.33535630171201, 336.10132647506197, 336.6313575188592, 336.68916401129593, 337.14032347119013, 338.02734904454945, 340.13231780072192, 340.24073639587328, 340.66474710397284, 340.89605320120552, 340.93363493384248, 341.61764980184694, 342.83675022666159, 342.93689022124858, 343.77428559810664, 346.31741756405171, 346.38927501173561, 348.87236652040252, 349.04595189769611, 349.26319838292113, 350.29034221002513, 350.59666876453645, 350.67602845697968, 351.50971302604677, 351.91779200028708, 352.53046109681645, 353.89959164676384, 356.22135959415499, 357.63035434790544, 359.273689081741, 359.60699601556621, 360.00679819838973, 364.93043741618453, 365.33722302690467, 368.1502408366735, 369.03736131631871, 369.61075087854158, 370.12933588352513, 373.98232416866745, 374.00568592511189, 375.94330144490169, 377.18916160752229, 378.47539148716521, 380.21280787513928, 381.41954903819374, 382.55733419634799, 382.78043742768102, 382.83575225821693, 383.58671184735914, 383.88461548192686, 385.03343008905341, 386.37664089395008, 388.04373516512413, 388.06637238278006, 388.12844499529501, 389.04353964771434, 389.14040373757803, 389.47098792839438, 391.82432313645211, 392.89511503093155, 393.08464062837584, 393.76091663377224, 394.01081370323118, 394.22602018246971, 394.67072836180438, 396.58500535898412, 396.8910637674112, 396.91410128900674, 397.21432699797356, 397.94828662658341, 398.19770622644512, 399.30075137280613, 399.99228844393917, 400.80770813566829, 401.31851111630158, 406.52770649541822, 406.90766151800756, 409.8465533387386, 410.32874001143421, 410.76645308925947, 411.47686928332007, 414.35522643788914, 414.87906089648754, 415.87480967699639, 416.30703980135621, 418.57975737137087, 419.85135466987043, 421.04009534396761, 421.48889409754628, 422.68552687524891, 422.90376399716854, 422.9675161738665, 423.15438525441192, 423.57446727348633, 424.4442550152163, 425.20920441490392, 426.96166723591631, 427.47930662589897, 428.70347996443422, 429.16613200150726, 429.441665894197, 432.1989029348573, 432.40642071538321, 432.42833996582073, 432.64351562423224, 433.60438366430748, 435.47306448642041, 436.45187218964179, 436.58475164895128, 436.86984187921047, 440.85122401864385, 441.63958331502238, 441.75940877944623, 445.40913654887447, 446.32323383361614, 446.34395535259546, 447.36768930433266, 447.70491715141196, 449.91250270031026, 450.12778711090499, 450.1692517957519, 450.29420630643176, 450.51969417899494, 453.61994345120894, 455.68368018907637, 456.29548828157402, 456.64061236034905, 457.07503434244933, 458.1761389757317, 461.07855393789498, 461.13150231222897, 461.20416148819601, 461.23326775242663, 462.73688354296166, 463.43187997246326, 466.38001893321632, 468.21042017607874, 468.36848712473829, 468.41459265490334, 468.59727764816381, 468.90616316460421, 470.38490047850712, 470.59243842276118, 470.96452903031326, 471.99744320318337, 472.62618096868027, 475.31188718254333, 476.30130100405916, 476.96675300536049, 476.99789666476727, 480.11804122237726, 485.71945191939761, 486.9077021019616, 488.03456285233329, 488.17824268792782, 490.93005704985097, 491.44741818388354, 492.00346688492931, 492.78637837559239, 494.18836646548482, 494.34084218215656, 500.67897594435073, 500.98720097497795, 502.38872864567429, 503.47977793167502, 504.14088094641244, 508.33835525031179, 509.1401714508051, 509.97334462778105, 510.59636251072533, 510.78444374435151, 513.06019301276979, 513.13624472492086, 513.17777260567459, 513.86141206121385, 513.89521657424905, 514.83977006637394, 516.60034136241006, 516.91510554551337, 517.25715017688447, 518.10421608224556, 519.30856967838633, 520.8197095387776, 523.30962029596265, 526.89104138734376, 528.52882986660518, 528.64469086347981, 529.52865675480098, 530.33947339499309, 532.59707079548582, 533.05362416883111, 533.18312286447053, 533.43100506170219, 533.8881498047806, 534.68297518195561, 536.32223674362206, 537.6261896547029, 538.32821685071326, 540.8876033303369, 542.01732893275835, 542.10535542101695, 542.61938413038513, 543.39277926667944, 543.53011505939457, 544.0983373204632, 544.28370502247014, 544.78003925145481, 544.83811018455822, 544.95042258340459, 546.02081264993797, 546.57631100994843, 547.26298831092708, 548.70162644972584, 548.73952580247737, 549.38473551411562, 550.29993817610909, 550.79629142891986, 551.31863228383509, 551.89793036819083, 552.44685458007041, 552.52138339058592, 552.9896272053104, 553.29024067345381, 555.75479548651958, 557.21908611119079, 557.43058008600269, 559.2925406542555, 562.21712588476078, 563.3566576531241, 563.41032572834001, 564.18610130889988, 564.26999011644307, 564.62701462216785, 565.06744734810275, 565.84015962234105, 566.33814025057291, 570.98633554886021, 571.52401484985853, 571.62631726752966, 572.1312564282465, 573.75501495823573, 573.83271507763925, 574.97928568910947, 577.00412742718311, 577.92424126273977, 578.64875718857786, 581.52877353675092, 582.40503002282094, 583.84188603277903, 584.60436199520723, 586.30926407158734, 587.76640731752843, 587.80526295838797, 588.14527176894796, 588.96184628311653, 589.51229201304852, 590.07313993038986, 590.46832434384226, 592.29538725915518, 592.67672991551672, 593.67440066221309, 594.18872670908297, 597.42731537262193, 597.91794010706724, 600.24404606546921, 600.56744472839614, 600.71636750074003, 600.91144854031734, 601.85932632027573, 603.00623977404086, 604.33684216384563, 604.65140828359313, 606.36935128373625, 609.15981443951, 610.03864547390174, 610.39509208928848, 611.66449262561207, 611.7161153772098, 612.09753650187849, 612.55274337504943, 613.03181069852405, 616.7520451093427, 618.4216848220824, 619.70190545184903, 623.66003045305933, 624.93393616125059, 624.98770306681695, 625.04803871729075, 625.68097176174263, 627.20390204991259, 627.3841775768434, 627.74146113261111, 629.74660429113635, 630.64764709723954, 630.95815800267349, 633.89414823738775, 635.98059232362129, 640.45706933959298, 641.76651180032263, 642.62776723005618, 642.93508094283277, 643.19860079946534, 643.66022680126616, 646.97844933895749, 647.11879448117384, 647.47203683818668, 648.53372629284149, 650.30477495928824, 651.75731624735261, 655.02066100693992, 655.13454657098691, 655.47025269686526, 657.12124787208666, 657.25511093449802, 658.01335790679752, 658.84372150762465, 662.26573057465157, 662.76233455521538, 663.44748785751528, 663.50484466843739, 664.62409771416378, 665.62144608975234, 667.93991053762295, 667.97543983413823, 668.01490214526211, 668.96668958506189, 670.58954165538444, 671.18768338453492, 671.50728429272749, 676.28009220765921, 676.93411709597922, 677.03892297360505, 677.22949654023569, 678.37004309553004, 678.58186892537503, 678.94864802455879, 679.87397019998059, 682.57156893813851, 683.30666584806124, 685.96502910529705, 686.0805323197651, 686.92555786483103, 687.17909980802733, 687.62384845471081, 688.62815084052545, 689.16909440068628, 689.84686756190206, 690.94825445943616, 691.45122602188235, 691.69414959768801, 692.00488216093424, 692.02515780075043, 692.86609532749867, 693.23232747786778, 693.67445991056161, 693.91801119366994, 695.79113149286684, 698.52124035712063, 699.06741350357356, 699.37210395115676, 700.11927963899461, 701.13866197344169, 701.52264749873405, 701.66364252302958, 701.75206062382301, 701.86167964592437, 701.93678897016753, 702.5928561963824, 702.73300042447659, 702.94839937563233, 702.9922698420844, 703.13359860495632, 703.70887843922537, 705.07643079969205, 706.71612003651717, 711.73731644054283, 711.80176036298576, 712.5183952088729, 714.05505896204602, 714.15164754220825, 714.58615681723461, 716.61467346810537, 717.94026409345906, 718.26686601997744, 718.33941097174943, 723.2426802775193, 728.82783366501417, 730.0831664531695, 732.640819944751, 733.48898942087521, 735.10997513751533, 737.60903064305887, 738.94089598475443, 739.13956905338375, 740.30352137571913, 740.73035631470077, 740.99124809626539, 741.52671885527423, 743.05418415876227, 743.78208714264213, 745.1679680165264, 745.83254117500678, 746.61507418501515, 747.6539858131124, 749.05952984875614, 749.27982600986786, 749.54200696630846, 751.59248727994247, 751.94789427806927, 752.26629285177808, 752.79353283748867, 753.11024671698283, 754.25268844497202, 754.44373848764542, 754.49867783131992, 755.34293888644129, 755.92803125473051, 757.35546538718847, 757.71183773350504, 758.7693015829235, 759.19930660962996, 759.50293745663862, 760.90627745424297, 762.62967885127443, 763.31988920182357, 763.77481864304752, 764.74048146311463, 765.21974525730957, 767.48753856201336, 767.66628522263272, 768.07556494545315, 768.51116888094759, 768.61534411258231, 770.54435910717086, 771.18254067503938, 771.5837376234615, 773.40186922552914, 773.5844776891521, 774.95779840827913, 778.6293611671274, 779.51628008842602, 779.88889287336553, 780.23375434844718, 781.00035486690001, 781.38902866446142, 781.83746253259403, 782.0025396184185, 783.42287850530647, 783.53749440738636, 784.82049475169651, 785.55590285511528, 787.30940754550818, 787.83735003531956, 788.0598706955044, 788.3684653300204, 789.86568152110976, 791.84670982829778, 793.81013985664947, 793.97639168078513, 795.56279998549428, 795.82808993283061, 796.00907499293578, 796.23292951812471, 801.0648922478332, 801.32224751448723, 801.37868757923195, 802.0437728618017, 802.6676177413533, 805.43887468821117, 806.28485717677836, 807.06783223611797, 809.04958062506807, 809.35673859093231, 809.56546935144775, 810.83431843475978, 812.1396654753288, 812.75239157208102, 814.18428811313515, 816.28681864270322, 818.19893085708213, 818.3244440980003, 819.1637908009676, 820.90223112802869, 821.51783255427677, 822.14055706236456, 822.19088327697932, 823.03915366923957, 824.89432998835832, 825.72702727018407, 826.48818282466277, 827.50770011738121, 827.70779091910197, 828.96736477003833, 829.29223210866428, 829.51678426611363, 831.43578408801056, 831.90598786943053, 832.91414863853777, 833.24819953804854, 833.68319354477762, 833.83625859675863, 835.38568009204835, 835.7408542037781, 835.96960823256097, 836.15711841511722, 836.54257001571057, 837.01725555232053, 840.43365040108461, 841.34394109692619, 841.60860031126913, 843.71233804362896, 846.29692227098349, 846.69252343799087, 846.73380701739472, 850.87710303365793, 850.9820318563269, 851.75184373208356, 852.81253088262736, 853.92142353345821, 854.08476078028195, 854.68697495175729, 855.08778043085465, 856.27109232622547, 857.42757536268778, 857.67492058005882, 859.63618705865224, 859.85211384104832, 860.37065672265339, 861.24216788762806, 861.45262322437532, 861.47374710385088, 862.19841337284333, 862.9385112464729, 863.23402598866903, 863.46729119488282, 864.53652956081919, 865.08234843629111, 865.85795470954963, 866.75090069141004, 866.81952561698085, 867.07351397513571, 870.16457612358943, 870.75104382836196, 871.03887023173445, 872.04297213086932, 873.59099957568867, 873.84144111843875, 876.19818692908086, 877.99727467780792, 878.79585721218939, 879.9631958874869, 882.40271303683528, 882.88884524378318, 883.67032810359638, 884.28493551244617, 884.90260031310743, 885.16631721214117, 886.55184721241812, 886.63225241645341, 886.95543314584404, 888.11822030262351, 888.31571519599731, 888.83711409562125, 889.58699389156652, 890.32738895608202, 891.21264230286249, 892.00498625423256, 892.33687553662082, 892.70266512310468, 894.41651851006907, 895.91471971543217, 896.78423621915692, 897.73794468831636, 902.12421510417244, 903.80907982527708, 903.98013081536737, 904.8970414627878, 906.13992079611512, 906.65179172107139, 907.8729587273607, 908.84288511816874, 909.25288107791982, 911.56446170711172, 912.00013469040698, 912.66980709522647, 912.77586729134873, 913.14783172490252, 915.36361667898177, 915.58488269804354, 916.95239738139651, 917.46094904175561, 917.82994346323039, 919.29441681361868, 923.98087839649713, 927.84287342057723, 928.89041343735278, 929.09970024849861, 929.405181141144, 932.3625986570363, 932.48055038773634, 935.22763433081002, 935.53963379523464, 936.8263782315131, 938.95415596095881, 939.21231463722347, 939.7400303107363, 941.40282281025793, 942.25337134276629, 942.55645951512292, 943.41915560388713, 945.94304847830199, 946.65101012971616, 946.67924001575238, 947.65649245487327, 947.91226825165188, 950.20063965211932, 951.9086597439989, 955.46738441556352, 955.49510037584696, 955.93115828808936, 958.66770070173675, 960.08952367160157, 961.01435722168969, 961.07934504855325, 961.91331477414826, 963.63614629694302, 964.10199302608396, 965.22224288267307, 965.60619682829952, 965.87432969250131, 966.88685847329486, 969.63820607813636, 970.66758931683307, 974.95343300933246, 976.67026898371432, 976.919447630543, 977.31334779698511, 977.61046353631923, 978.27764233841208, 978.40375852541808, 979.41731664440942, 979.6461940951217, 980.1906018001489, 980.30567439132028, 982.21147788065639, 982.36664002692567, 982.87516135485987, 983.28893471342724, 983.56718036322627, 983.6167128554539, 985.16339402500773, 985.60707368282362, 986.59767724273286, 987.41938881713463, 989.16373956186339, 990.47203355462466, 992.15965627541857, 994.04882737226933, 994.43559793891416, 994.47044189931785, 995.58679745766403, 996.70719388127191, 999.30659290003314, 999.98558239696558, 1004.9249072378728]),array([50.547043264898647, 51.298475017405018, 51.706372195856439, 51.76211483642502, 51.925338677397953, 52.016015071677188, 52.244663140938798, 56.720884964492967, 56.774260119622113, 57.595575859837083, 59.513650770654166, 62.857190515815361, 63.357483420002438, 63.619362807284723, 64.625366757574028, 65.741668322347564, 65.98616611870348, 68.976626906735049, 69.569920069416852, 70.974330450235087, 71.959382926249887, 73.40921105404513, 75.079956188341598, 76.6614152206336, 77.512522270337413, 78.90586328536881, 80.65135080889354, 80.869703064584186, 83.677218848612199, 85.017359516778328, 87.171554262993524, 87.546225714618032, 92.024960664176902, 92.412395689412378, 95.421828064158788, 95.589420499344499, 95.783418032983491, 95.809695645033486, 95.911172179259864, 99.31448600367608, 99.862491951160806, 99.883582087588238, 100.53450270142031, 101.25919125315346, 104.90952757607961, 108.78187627102321, 109.16799632349921, 109.80608264222701, 110.02858351518803, 110.43691438932127, 113.48700745490872, 113.76055834793311, 116.23277967071081, 116.46719708402014, 117.03445290160697, 117.89331589217758, 118.41720916618178, 118.51677474654005, 118.94234454870735, 120.03209677977556, 120.39232143560001, 120.57142431056495, 121.21473261612377, 122.61140554425212, 122.93105032935776, 123.45578436641703, 125.01227480886763, 126.66062884224033, 127.2434439259012, 130.90386203164164, 132.38609290424466, 132.56826947348037, 132.9697830460195, 135.73710852420356, 136.08815802332219, 137.58063420902431, 137.93048961265103, 138.1984899284202, 138.59902801738042, 138.85462447028181, 138.90675137966429, 139.65886962136739, 140.03521930213867, 141.20346373496488, 141.53945615543043, 144.86490340278658, 144.9953136075894, 145.14591886034049, 145.39112218027691, 147.35759589642808, 148.01622293856769, 150.88188805456366, 151.26870094099075, 152.05398719712758, 152.56076631230977, 152.76403580664598, 154.70751899151966, 155.22818296628535, 156.59374261644319, 158.06010361262281, 161.35511028871312, 164.28072727117285, 164.37085186147124, 164.71352001331738, 165.59898173214603, 166.92348114027135, 167.98508567956708, 168.91650034890867, 169.33008264560439, 169.46469772849565, 170.12946295480492, 171.10041660345593, 171.54888576892097, 172.57285957580245, 174.26045937469834, 177.90400746884032, 177.94123434964189, 182.45654145871575, 183.03001675732139, 183.333851238969, 184.69440102279972, 184.92758451027433, 185.32525443956209, 185.94758505826192, 186.74670887618521, 188.12058110431823, 189.27799786447378, 190.4847500617937, 191.249598054937, 191.76044936221507, 192.42478976498501, 195.03921343229015, 196.22305106655605, 197.43485207961274, 198.31740598595644, 199.07173884185084, 199.28629341659035, 203.30246797677586, 203.57038433542556, 204.84116593628454, 205.05377916499282, 210.55817238688806, 210.70672454039018, 211.00556713614648, 212.43054612629652, 213.79234577558015, 214.30236857839012, 215.33815436922356, 216.40407705810344, 216.58684960585413, 219.59220473690178, 220.46069627406496, 220.51940297942448, 220.66771959868746, 220.87797273680118, 220.90779976213145, 221.19119773250665, 221.78889742614351, 221.95582449415195, 222.26795162117122, 222.51028102501607, 224.73019332499229, 225.98151006217967, 227.17853935413248, 231.70644435173384, 233.97229147309193, 236.77508858065494, 243.22664542101683, 243.59377778486947, 244.02707877597339, 245.69723198232009, 245.97208652524236, 249.88017068634457, 252.29256229788817, 252.32244828645509, 252.48228653410661, 253.79825179820313, 254.14453411634506, 254.57608509168773, 255.1599407598363, 255.28451942825427, 255.82682150692406, 260.37346278447262, 260.90050569262598, 261.84929260226721, 262.09318337904421, 262.65782700566353, 263.61815586954174, 264.78733971000435, 265.19863474307226, 266.37002928283766, 266.4913421491068, 269.89812164704472, 269.9458805625361, 270.60191063442124, 274.66990520693059, 276.22699662656441, 276.42505522306993, 277.03198079174911, 278.30858103697477, 278.62567945092576, 280.99719126272197, 281.02138406682877, 281.12579625785179, 282.00549546065389, 285.23942124710669, 285.40872748639276, 286.73172029773815, 291.79667409191438, 293.42629067725846, 295.70723163057124, 297.83834541789315, 297.86383676544881, 301.19795899995523, 302.22853226257968, 302.31992866530572, 302.99186578876891, 303.55332995911266, 303.68526950231308, 308.8202405672705, 310.05017988425459, 313.61887273933394, 313.88530632572355, 314.26895535004081, 314.47057063797433, 315.59846214293509, 315.94877915961956, 316.22859080134248, 317.09813055673948, 318.51098776299, 320.15962570521606, 321.0280895362244, 321.41293158103178, 323.25203933518321, 323.29106909868568, 323.34312040134631, 324.53625288730973, 326.97086486144048, 327.87770590992881, 329.8168835092946, 333.60400861305919, 337.79179312425322, 338.93491484783823, 339.44668695629821, 339.64073585344693, 339.77308422951472, 340.52543225010737, 340.7398302878758, 342.27131031293322, 343.11261646525014, 343.16035449698381, 343.40497944329235, 343.54804711113138, 343.60132503280107, 344.57976921208859, 345.18426325041679, 346.08834751949206, 347.6746871463601, 347.73179162668509, 348.72103937370923, 349.18058323292746, 349.43918045024145, 350.89692764407391, 353.99206024443362, 355.13215642656019, 355.8434994496078, 356.33129986424484, 357.71018628152984, 357.95574001624129, 359.60186125926879, 362.99138922558365, 364.20178436751422, 365.31842774837651, 365.51868625360675, 365.99763690526242, 366.18341727398871, 371.22872423731422, 371.31228817771535, 371.52144361507601, 371.72918202960943, 372.43826811822504, 372.47724711983142, 372.83706903191108, 373.07714458023185, 373.66523273456693, 376.1070209806598, 377.36396512565489, 378.50887658482094, 379.26938411818469, 380.85531529961401, 380.89907789809155, 381.45064281364876, 382.32692043235926, 382.60507970610666, 383.42748458128415, 383.70832646245992, 384.29854283296032, 387.07907595664693, 390.25973124378828, 391.46760444451814, 391.80204282846466, 391.99146111038959, 392.10886320300352, 393.54338649856999, 395.84640383419941, 396.36591438646201, 396.7220389251429, 398.19943909419311, 399.62160105920952, 401.65076403243307, 403.65318907398517, 404.62619173088137, 404.7490171463225, 404.90797420292353, 405.04393855829858, 406.28668134533609, 407.00195081660434, 407.40741755275155, 407.61591354604423, 409.60405084319927, 413.10026459517871, 413.24261098362064, 414.97084797324828, 416.04539265492497, 416.20765794785024, 416.63549615376138, 418.58527267262633, 419.72917873523954, 419.77655502117597, 421.7306497864335, 422.31252069375705, 425.35963590443049, 426.56875341336024, 428.81648279362037, 430.63461967212214, 431.0779344288992, 431.66045863223036, 431.93655634304048, 432.36527473984154, 433.96771821778981, 434.88349918104655, 437.11538297614862, 438.36201258158718, 439.67671671256932, 440.13185953845874, 440.79003114026892, 441.77623553518924, 442.11854402117177, 444.79607120890404, 445.05378966706348, 445.42902034500241, 446.11277921417332, 446.73297355374075, 446.97893260692706, 447.13829447107679, 448.72136460300504, 449.27745887734375, 450.69815239364607, 453.27035698592289, 454.12621316777796, 456.09793738574223, 456.79684824703446, 458.89502104550803, 459.25952638481613, 459.38986236998903, 460.74639842187139, 460.80458159793864, 461.26705791408671, 464.55967210373933, 464.96686098774421, 465.33917325722456, 465.38325049397685, 465.63690037083194, 465.96435457294513, 468.91240555673437, 468.97534464969863, 472.08607380557726, 472.45892337221863, 474.78787564471736, 476.14570453266992, 477.88814957738191, 478.49360120936933, 479.83155488325423, 479.92952749702749, 480.77026141496748, 481.4183372630913, 482.49464379406686, 484.13109728042105, 487.01227258527626, 487.59272046289522, 489.35649814409362, 490.29492725307892, 490.37326872322808, 490.74614389587254, 490.93174514839836, 491.3234636915484, 491.56821052760529, 493.02087060625115, 495.36495609775261, 498.83314936545787, 501.33195623183042, 502.77842770453634, 502.83066497623361, 504.67432323317217, 505.11647570608801, 505.60659291461832, 506.08790805803909, 506.64860229436874, 508.35528459558617, 509.23255223158117, 509.47097263104069, 509.75599505260629, 511.16271750498447, 512.20091087666208, 512.78328870061387, 513.31589549850116, 513.63024415860423, 515.6305258519011, 520.93030328134716, 521.69386643134646, 523.02322472488686, 523.44707546942914, 523.87611189730205, 524.14786935005293, 525.6477699467905, 525.8770082352072, 526.02404043807553, 527.43333563698161, 527.6452016433235, 528.09298575990397, 528.99574310510104, 529.27547371529727, 529.67335400245997, 530.30530755380528, 530.84448527524944, 532.40068913523601, 535.98744125247572, 536.70969886587454, 538.79357431805897, 539.13678555724789, 539.25470503326039, 541.68741942457484, 542.52822348001166, 543.50682138035086, 544.25531318126718, 545.38964071652833, 546.33228873633311, 546.4511675196286, 547.36475244533949, 548.50571165733425, 551.42158811849811, 552.15544329519628, 553.32668016429216, 554.07556662699324, 555.21909860800849, 556.13493404171629, 557.01818138578358, 557.03881681780217, 560.23698508173561, 561.58454146974373, 562.39688603991908, 562.52196988744379, 562.97618523652363, 563.40051757934032, 565.44065754456096, 565.780333953335, 568.37130983702366, 569.59543401860151, 572.37488788824135, 573.13244046062789, 574.65967278367566, 575.26155074999781, 576.21408289480121, 577.9416324699489, 578.15114491374902, 579.10605945374277, 579.58920436147673, 580.56352570489878, 581.52445769901692, 581.78424197654499, 584.25586666439801, 584.40399596654379, 584.70789938021926, 585.23392298193062, 585.78618547749318, 586.39465912369963, 586.9836850038771, 589.22381626461436, 589.27496206930914, 590.26754415370783, 591.84128945776501, 592.60584646417976, 593.43744132608265, 593.62701843238688, 594.38694744758061, 595.3855154276788, 596.1994829086658, 597.51441960049749, 598.22438992030231, 598.28111138481711, 598.79768067926773, 599.17358096243538, 600.85272420444949, 601.94227526943257, 603.20816484367435, 604.35199036353276, 604.69807206565349, 604.78341304411379, 607.0900812429295, 608.13363359893992, 608.19483232845948, 609.01679156577347, 609.26235832884345, 610.40406432252109, 610.65794439948161, 612.15539780396557, 613.62551467813307, 613.8872154936231, 614.04418856961308, 614.51899367427723, 614.57515838351151, 614.81243247382668, 616.57373549651936, 617.71405635198005, 617.91329245218617, 619.39766774039879, 619.77353247406688, 620.39717423136563, 621.38286950853308, 622.23967614542312, 622.35855542560444, 622.66630977920431, 626.36647304805467, 627.93242847684542, 630.27659527904154, 630.82888296729266, 631.00317279102308, 632.28868867395556, 633.62725480264942, 635.20567471034053, 640.67380470509124, 641.70057355449273, 644.58074238451582, 645.78374782513822, 647.81128570476005, 648.1806532101657, 650.18030643884458, 651.63576431134834, 651.71258741187705, 653.88253337051117, 653.93759418281013, 654.50495666743643, 655.02479367767012, 656.59684981786666, 657.68702613653807, 658.21262584302372, 659.29295000725745, 659.4706164624863, 661.24073145814498, 661.85249841031111, 664.74704606735702, 664.99206559430979, 665.45571413692869, 665.94457718747083, 667.00297071758075, 669.0240228003313, 670.68770901589801, 671.57092172580724, 671.82493875599766, 672.63494785437251, 673.46822594408138, 673.93593875324348, 674.32015171008914, 675.00690294684716, 676.23354850856481, 679.72340616323265, 679.87546062753245, 681.65735376720659, 682.09438110255462, 684.12143334530481, 684.2227917084665, 684.75879965681042, 684.89841964472009, 684.98787515088679, 685.08501647887647, 685.95823222141223, 687.29509058584176, 688.26972058366584, 688.36446046124581, 688.46819063692465, 691.48346659062383, 692.78400040679276, 694.74360064261714, 694.7714284820828, 695.37833884253814, 695.4347273283521, 696.97029188516126, 697.07136599193132, 697.22346447941356, 698.82603957932122, 699.54248246487657, 699.81996343402909, 699.96370752489292, 700.2448257430583, 701.37894484707215, 703.34505215422121, 704.78672427999254, 705.44786398797237, 707.09910149996404, 710.71505012529303, 713.08867709860249, 713.7571553093951, 713.82875940202598, 717.28189556418556, 719.0976399879986, 719.15680995882758, 720.05859389205966, 721.16937200669543, 722.09257126782347, 722.44447991765105, 722.51491960939677, 723.34299296976144, 725.59848363244032, 725.84038206709965, 727.03984655568024, 727.85262142887473, 730.03937537442312, 730.08707970643684, 731.58720648538997, 731.86490934032634, 732.1005958397227, 733.23263901497728, 733.74727215771679, 733.94199247242398, 734.32278339748973, 734.40660522955841, 734.55641022013401, 735.532396251617, 738.24256419842834, 738.4382912035303, 738.53058145186856, 740.09886739883495, 741.01865817994417, 742.23989822012106, 742.28974864898919, 744.33582931828346, 747.19930713880569, 747.6465480819669, 748.73296149504517, 751.59358384541213, 752.04822773966202, 752.72303728376801, 753.32881607203797, 753.41408371936654, 753.54654797728892, 753.85256545474738, 754.54449794099241, 754.88416081533808, 755.32041905637664, 757.45667085694095, 758.55189001420217, 758.96078790630929, 759.15178225377474, 760.87431288985704, 760.97458481974559, 762.29880051136797, 762.40629194452288, 762.42793064841271, 762.63472079395797, 765.55254842165152, 766.79518527552773, 767.74988003971521, 769.03450708338448, 770.0098269289972, 771.04551977827805, 771.12963433537391, 771.74176426909537, 771.99378955346162, 772.74493401116899, 772.95646290312584, 773.15279588296346, 773.25540566948018, 773.6545086206736, 774.30766711116621, 774.65877155681494, 775.25974181127651, 775.38795911974671, 775.698248415183, 776.12861281232756, 779.18959687947529, 779.45081539738692, 780.3368385348424, 780.8056654087751, 781.0567032723975, 785.39843752509671, 786.07399846721557, 786.42873490539091, 786.95058818582561, 788.86586360989872, 789.456306546213, 789.68737401630085, 790.10574165723585, 790.61114449885713, 790.98372237000012, 791.37007312772005, 793.27068397265998, 793.47287742265632, 794.91666271098302, 797.80997439310579, 798.99197479418399, 800.32800366938068, 800.76592811467037, 801.35466480203627, 801.5983566024936, 803.36048135703788, 803.62465298441805, 804.9309086183373, 805.26841669859937, 806.20031375928477, 806.57491405033682, 807.04983458119716, 807.99368457041226, 808.20062309687683, 808.35498463354224, 809.07903494944992, 810.29247188388103, 812.93711903575263, 812.97334624054736, 813.57061531807938, 813.97460125130317, 815.05695447297217, 816.96947696041718, 818.02495318973058, 818.51700986104834, 818.76739101457974, 819.33483349098015, 819.53247780019001, 820.44191554134557, 821.63130903164608, 822.03397272222298, 822.28883009897777, 822.81463843466668, 824.52391940110238, 826.38072165042468, 829.61655612247523, 829.81611514400117, 833.58046452502413, 834.11312119754655, 834.49425089299984, 835.35688778839267, 835.97937863268828, 837.85045348918732, 839.75075955099805, 841.95178879584034, 842.10676385784222, 846.22338058756372, 847.03241534070025, 847.18782718328498, 848.241322131532, 848.67715652265395, 848.88372798169678, 849.15618398142806, 849.42043459406921, 852.29462890635637, 852.43587051685029, 853.7493305579253, 854.27171543652616, 856.65026785151861, 856.77066058358037, 858.1742906156187, 859.76653207733193, 860.59829243039462, 860.67295550029382, 860.75753049606067, 861.3173267064426, 862.09672944133308, 865.31167507723444, 866.4795754884085, 866.50533343382324, 867.04027215232088, 871.18399539055326, 871.73527495804376, 871.86709185575955, 872.80684121866977, 875.07114500356658, 875.56966288916772, 875.87199976049408, 877.77783136573578, 878.74870675995192, 878.92806413607138, 879.73340725349635, 880.25483714692734, 880.40066379333143, 880.42885079154712, 881.93878418478846, 882.41902483800504, 882.80587171080674, 885.76860492066282, 886.13326504763756, 887.73177312907012, 887.96861222858536, 889.76398957221727, 889.91689961403642, 890.5150287799529, 893.17938441563354, 895.8898787090468, 897.10201005892907, 898.64949495540134, 898.71119265822233, 901.04894285674584, 902.63928900020471, 903.24819610754173, 903.36510326521613, 903.67099179833519, 904.48793609114489, 904.50976346027346, 904.90645452078388, 905.01331806965516, 907.4368430939046, 908.64748909091156, 908.97778153240313, 909.47807805862431, 911.78791795967095, 912.98303381700043, 915.99312649914657, 917.52777697324495, 918.06887715683047, 919.72847894309632, 921.46586652637211, 921.80238732437897, 923.05247685591962, 923.08069646438776, 924.95894589836553, 925.12612743969044, 925.18604759937955, 926.28637537449561, 926.53561591039522, 926.64051404106738, 927.22103714746356, 927.75284730010446, 928.32631336261682, 933.75465328800021, 935.9967894860655, 936.31481861829764, 937.35950950183144, 937.93146720437778, 938.12256468189639, 938.78083341588899, 940.9327782537772, 942.37311161239097, 944.90483170190726, 945.24855715764113, 946.37912706936004, 947.17543150425377, 948.43177999125305, 949.60853806563478, 949.93702884638947, 950.37163044679778, 950.57598144080544, 951.39986220214735, 951.52873543544479, 951.62463511713077, 952.06918935594979, 952.61154664925334, 953.6741771757687, 956.18671692267833, 957.29307759722099, 959.04369982385822, 959.49385015279188, 960.31723886853365, 960.52068908995034, 961.96805204155032, 963.54189827922198, 965.39224676821743, 965.43715250251444, 967.23921897515856, 967.45539801626774, 968.8951618114213, 969.06372850484058, 969.38391089585434, 969.41158628249138, 971.73879277356548, 974.81046212662284, 978.29814242098587, 978.53735092728334, 979.3169404681903, 979.98994688072878, 980.23805708562963, 982.70428811259615, 983.16218887793059, 983.26546463821842, 983.31122111209186, 986.18165954616779, 986.66434013973799, 986.79189092416914, 986.83830909170717, 987.4098160480429, 987.80582471118305, 987.82821745588808, 988.88419487843055, 990.11251028502659, 991.6062296695718, 992.19704486570572, 992.49367931178551, 994.25225219982121, 995.51621598671818, 998.30565602593356, 1001.6890126118398]),array([43.974403176624264, 45.09406778071849, 45.803154402137984, 46.117309228726391, 46.197544285110794, 46.299461577055716, 47.308975078058147, 50.251131863615257, 50.294950926627727, 50.817939875228419, 52.411724970956371, 54.150302259510333, 55.93846955856349, 56.99196795907325, 58.375396260982633, 59.245975466995205, 59.581726754728798, 60.354758480165493, 60.705397558843551, 61.684054723469878, 63.834905015222866, 65.461807423716863, 65.561743398412972, 66.012250011969513, 66.274688739659069, 68.561466356492971, 70.04517875666437, 71.410238927740608, 72.99393060532968, 75.905030722421742, 76.910522176291622, 78.457690063960683, 79.050781707768692, 80.271523985030697, 80.858005327155539, 82.378270199419092, 82.79434400484773, 82.884421517283684, 83.263318593342404, 83.584877302608163, 84.026063384950916, 84.929101184504603, 86.553778359895219, 86.721548485595662, 87.140779179870506, 87.396625007033037, 90.176156334296763, 90.339691434416594, 90.660264251141427, 91.027156634435926, 92.455638274897524, 97.565621106428978, 98.187795440359807, 98.685529378596186, 98.743944031363256, 99.43594254210997, 100.33835668014406, 100.46593605367306, 101.18276127071087, 103.38560321702352, 103.49830959384333, 105.37352709329599, 105.45937272091639, 109.45818610472068, 110.24468524142058, 110.38641624399699, 110.93322325125128, 111.43145958491618, 111.72461831132628, 113.41300193212975, 113.91505716318113, 115.03932158481641, 115.19309764058779, 115.53016630436976, 115.7924678250024, 117.50218975467871, 117.88928472169421, 119.06975551254486, 119.71180132596317, 121.01859386723855, 121.73780971644156, 123.36630580875473, 123.63845934967112, 123.86886823739047, 126.8878016009929, 127.73349106416671, 128.65808316139109, 132.52469451308619, 132.55939083195682, 132.78828527204769, 133.02180675253379, 134.20974793281221, 135.14220127558042, 135.26615868565662, 136.43806660188204, 136.86154901587034, 137.63390174711657, 138.52810345213837, 139.28390215653414, 140.20291358667603, 140.39722158510784, 143.09576368253207, 145.93071441084246, 146.14912042900579, 146.20082884962602, 147.29279427844577, 149.6215165056559, 151.42057291781285, 152.35943345946947, 153.178064514467, 153.67714721313712, 154.75869788545481, 154.97451938909356, 155.95217096879483, 157.14101223489385, 157.19657594984713, 157.92304275423734, 160.61762823196889, 161.41746673052734, 161.93384468251401, 162.0188372308684, 163.05896980169845, 163.22403650617068, 163.29335224117665, 165.35748324408709, 166.01627892385656, 166.76826836126506, 167.32554346319804, 167.75116268444614, 167.78181796385269, 168.73612254804519, 170.60051471080459, 170.74931742097613, 170.9555238562844, 171.58758630096159, 171.6267171601045, 171.83084647786146, 171.85469883662634, 171.99519775116278, 172.21384948807665, 172.30573192592161, 175.5705315926601, 176.93925372155138, 176.97285504190091, 177.03102218491966, 177.77763798167817, 178.50430121120078, 179.41868444034014, 180.87768198922581, 184.03018017503118, 185.62559615567346, 186.53937078136289, 186.69756805396509, 186.77625717862026, 187.06863725790899, 187.30587235229015, 187.65803681837261, 188.6979692240694, 189.68085101659335, 190.75972534475937, 191.59199668677442, 192.95212272550714, 194.46786312084433, 194.64385222745901, 195.72070082213659, 196.95535768739748, 198.48930509605276, 199.43948778957389, 199.54507696046574, 199.60633728969995, 199.79232855885166, 200.13183173011305, 200.96221598923589, 202.24184050919959, 205.99684114847261, 208.67275735590815, 208.86383864258286, 210.24175553175132, 211.0261138911147, 211.89858747806275, 213.90410381702966, 215.86095127652916, 217.52884821630553, 221.78757158579191, 222.00570123883887, 225.92028833168274, 226.32856214447656, 227.62675897611754, 229.00665405438249, 229.81648554550452, 230.76941967295036, 231.07716579023659, 235.37287522014665, 235.62799657534489, 237.38461838628666, 237.50055978289822, 238.73055194791237, 238.86017023046654, 242.82197379898309, 243.55506388134992, 243.80934037416688, 244.29305579601225, 245.20337110183772, 245.78034387714726, 245.93407945447501, 247.58156636780365, 249.37868437518165, 249.65700805795768, 249.87209032900537, 252.77441180413365, 252.91141664682689, 253.93262760217939, 256.42018185160856, 256.51992992909959, 258.407209630154, 258.49808916498381, 259.2641571392848, 260.77353904065632, 261.86719219407848, 262.08295936753058, 262.22934415244623, 263.21931270210212, 264.23699802570729, 265.90370355722911, 266.04791104444934, 267.52249168900994, 267.57177105518309, 270.15875828273391, 270.32692139393959, 272.17358857488728, 272.64936169684393, 273.40365736747975, 273.9075913589229, 274.19535855292611, 275.32926939576026, 276.31616880488997, 278.00579171965114, 278.10446679894608, 278.70489053166131, 280.17990307700586, 280.83992611835458, 280.9901796700899, 283.11935334101031, 283.16014413882738, 283.6694365760402, 283.84361340060718, 286.48651006440014, 286.92247148942329, 287.35248685887245, 288.40533428216293, 289.3994214167339, 290.40343881437343, 290.76913113768569, 292.78007370554332, 295.82241764638678, 297.84765747279158, 298.63669908474736, 299.25076927312227, 299.53494333579954, 299.78960331715757, 300.02935291848399, 302.48548959187735, 302.80842201664876, 304.04359799908565, 305.48333478461285, 306.21454462190962, 310.2384551040235, 313.40739986780233, 314.10567440728727, 315.2424372201433, 315.68352676001308, 316.08877646033562, 317.59032958761338, 318.30845851854275, 320.09906582734635, 321.3925805549502, 322.00756435893356, 322.59336535421124, 322.88319013553212, 323.27163384706165, 323.93969234973741, 325.92482516207923, 327.80342015481466, 328.5421985056297, 330.1045426124586, 330.83922929096519, 331.71124506727534, 332.14677407835183, 332.92974960623752, 333.15936988227855, 333.88840772900267, 334.05636843948764, 334.10537317964918, 336.03140232845004, 337.1612196812556, 339.67465638643654, 340.62530499010944, 341.95847665304291, 342.61915111653838, 344.77810182047182, 344.9212557642611, 345.22211396696741, 345.70001655254509, 346.58298330067873, 346.72140610630788, 348.14953138005353, 348.74904069868091, 348.82138850768433, 349.35543567441664, 349.97993177682895, 350.19832516209777, 351.58452034763246, 351.71813874752212, 352.23302644293483, 352.69396296681867, 352.82928086609451, 353.00921892709545, 353.51699703759965, 353.95603090963721, 354.13245120335205, 354.84345650826612, 355.41960436030826, 355.67195530388489, 358.98771736719766, 361.42862400315209, 365.51438190947647, 365.83563221252609, 367.39995569574734, 369.03458526353398, 370.12988280048495, 370.41943930403289, 370.71574063118049, 373.85353186806032, 375.2633276649193, 375.98703218561894, 378.81049457044918, 380.10142348352537, 380.65942086206746, 380.90361706721916, 380.98933003925356, 381.42079303957195, 381.70719348278942, 382.37931615355114, 382.66742644639322, 383.80558189095524, 384.58818204925757, 385.40650961599238, 385.96186629837342, 388.63942369150527, 388.82483354348295, 390.4115688412619, 391.92732000271263, 392.64533398828689, 393.71704666110577, 394.46567350869248, 396.07991573924392, 396.31957043186321, 397.71442326334864, 397.83793055275538, 398.53776057179476, 398.91097667224659, 399.47524336580915, 400.84636506173416, 400.98704530806725, 401.30175805004558, 403.10729131171945, 404.55643823409292, 406.17996359312741, 407.41144792060089, 407.83710847206538, 408.45188231092959, 408.63641720765236, 409.91354912000128, 412.01568941326514, 413.37943242667347, 414.36566115524732, 416.43189869747823, 416.56414027744154, 417.28433045044835, 417.34124276804505, 417.70454702189022, 418.96680721450537, 419.99922512630803, 420.47341161634984, 420.89060591443871, 421.75655679839122, 422.09775728591899, 423.06318482903248, 425.23844198541008, 427.6606745824302, 428.6643333019357, 429.48168622518079, 429.60672203588518, 431.40860943764267, 431.99147392107318, 432.87031560237995, 433.86841817592409, 433.95665588657005, 435.74410796850691, 435.82156555764931, 436.0761985276846, 436.35799352977148, 436.86397729919423, 439.10450261707297, 439.33163365737005, 439.73017145622237, 439.95786776317675, 439.99240432818908, 440.28150490047716, 440.72515304726505, 442.80768645948388, 443.51611985519116, 446.28739977634365, 446.34477883918805, 446.80913107725286, 448.20104456188625, 451.596948944757, 454.01105291212895, 455.05270047744841, 455.87854780475925, 456.16610103972943, 456.88076224221453, 459.74894624367488, 461.58492079783542, 462.32158293608245, 462.88365754679791, 464.59392061554075, 465.12799196183454, 465.28455679715233, 466.91676752391089, 467.5267546239541, 467.55837277653268, 467.7592216310187, 468.12264217285355, 468.75268011680669, 469.14863247836632, 471.50838197489082, 473.00336218328323, 475.30933961212514, 476.65357585435851, 477.16260366279988, 477.89066303961124, 479.37912510299009, 479.63032538709786, 480.62600427618736, 482.60135260651583, 483.65559934507309, 486.38231332600594, 486.92146914337985, 487.2204023758884, 488.73873280570768, 488.98271999648148, 489.57512612768494, 493.57320037358039, 493.94826445076012, 496.9938841314555, 498.85498271489212, 500.03811423263102, 500.60068439800324, 500.68299943282767, 504.83356459003573, 508.00476321918552, 508.23426419542915, 509.13267716991572, 509.16658902261963, 509.21065996118631, 509.59038234623296, 509.66097104141909, 509.78699188429744, 511.17895897613278, 511.27489738234885, 512.5557432399296, 514.05201940053382, 514.17940948150363, 517.2125337101146, 517.25028556686652, 518.55116156146403, 519.16671737243087, 520.591545706631, 521.97481852072838, 523.59117971352782, 524.49121236161398, 525.46155440712755, 525.52973325658968, 526.79942469348453, 528.94879823056817, 529.26809234162749, 530.36786615826963, 536.49160789541884, 536.99869978153504, 538.15393645023516, 544.99868162926657, 545.38899606069208, 545.54785967067005, 547.18957303005652, 547.40800652233008, 548.37274379062603, 549.73116535799704, 551.31042058716923, 551.46982024709155, 551.58747204448059, 552.68884907370648, 553.34736782994844, 553.39308402985489, 553.82514240973933, 554.90170870917245, 556.42876230239062, 556.93328558774988, 557.90770974211023, 559.08176733465905, 560.06807512754051, 560.37509389031936, 560.99167008928623, 561.01990640010945, 561.49727137927448, 562.5007019858665, 563.50429200792462, 567.44589632124348, 567.72613224822749, 569.1345905574766, 569.7321199020023, 570.04717124438548, 571.19652359871623, 572.09802450816801, 573.08179568662695, 573.25717165562185, 573.50828589073296, 575.66734750068747, 576.15655765976965, 576.70904704172267, 578.02813282813122, 578.93050196449155, 579.1739894216073, 579.9953818664045, 580.5846501586858, 582.26780906831902, 582.61658212440113, 582.68116255954021, 583.23991571573174, 583.3127192746814, 584.94718997482244, 585.85652249818509, 585.93887278199793, 586.86170538835108, 587.17153771823166, 587.64254225132152, 587.91110371028628, 588.59548905642441, 588.88063130556691, 589.08318714400855, 591.1711394014909, 592.38856123328469, 592.92103034660875, 593.65452467591797, 595.48242572109677, 596.03997195349154, 597.26098310384464, 598.66874961449025, 599.43825200868969, 601.89837505458706, 602.79471828895089, 604.60521615624816, 604.83261562707321, 606.70139261410429, 607.91376062342022, 608.91225200534325, 610.07257345579433, 612.04448545893376, 612.43045622025716, 613.42071026293536, 615.02008155548469, 620.65758696605872, 621.68240608619419, 621.82624391375703, 622.75593092512031, 622.94547933650858, 624.45452878041738, 625.2264107304344, 625.26642149536201, 627.00177741147854, 629.0967060142724, 629.44750110949951, 630.52485396821237, 630.74414874152399, 635.3931280267567, 635.5838399828001, 637.10149914656313, 637.44285795415976, 637.47222774428963, 637.63808303934786, 638.10192934078839, 639.93305449685511, 643.76747778262563, 645.94598572435689, 646.92410472245592, 647.41008627856695, 647.89701113399997, 649.07989713358154, 649.13794641583695, 650.49462956077321, 650.54410742330651, 650.82929464552501, 651.28698351533137, 651.73108176849632, 652.48525933732662, 652.70092722817071, 655.68962288844841, 656.1521182558173, 657.17968520934073, 658.44025261158424, 658.595811454981, 661.05146261332345, 661.70335859410466, 663.12075791081986, 663.16759471729972, 663.30412548314246, 665.58600654479494, 666.45452940367011, 666.49032437384437, 668.52220366821984, 668.58400285674327, 669.81101652874941, 670.73852706708135, 672.81487231482799, 674.0716866077637, 674.99729837738448, 676.4244074299861, 678.34151906743671, 680.13533651201658, 680.19189136311718, 681.17077362648956, 681.42907279772862, 682.19053187071938, 684.02628258196955, 686.04555013261302, 686.17913627374048, 686.92422630524311, 689.39028809126114, 689.98366374710804, 693.17642248384107, 694.69640271029425, 696.56904564858883, 697.88311294572532, 702.35243782768725, 703.09046993526442, 703.25471894970894, 703.59116439133322, 704.96498634365594, 705.42363248901506, 705.47612713901981, 705.9430373434119, 706.5769310941389, 707.84958639441356, 708.31003712034476, 708.55049032061618, 708.62737729005585, 709.30062472384736, 709.57193548608222, 709.83778345406165, 710.02934496331181, 710.13063418961303, 710.80770669703304, 714.0676522799173, 714.71559875350169, 715.26068374467775, 715.93987823534474, 717.07789037493183, 718.07368666020852, 720.83827827671848, 722.03492867746434, 723.81009934413498, 725.04820176440592, 725.20159887771069, 725.90164733351412, 727.94401806190842, 728.49703208069263, 730.01984796570844, 730.35127665459288, 730.38274520878088, 731.83737235663091, 733.08760404728127, 734.59653177397297, 734.98135605384664, 735.37911523385014, 737.58381864705223, 737.63150005448767, 738.1797079014475, 741.51587501512279, 741.61187733050497, 742.34907135349465, 742.83764864487136, 743.20183865968681, 744.59129363840975, 744.89799170877689, 746.57412245504247, 746.74194239307349, 746.76194375042905, 746.95982787614957, 747.27538184054629, 747.79068810117428, 749.03492191431519, 749.34888789319984, 751.63454254243106, 753.08213763589652, 755.29760463868718, 755.41166507405103, 756.02300106773782, 756.12332116051459, 756.67621534156149, 760.6017066154551, 763.35134897281898, 764.68569073048241, 765.64818709698034, 767.8286643753612, 768.07182503889396, 769.20297752188515, 769.45401948294261, 770.23264582079219, 770.32005915870172, 771.06610180349242, 772.6339839711718, 772.70546452248573, 775.92506270033971, 776.21497303797014, 776.91319495798814, 777.7209633291244, 779.01195732508336, 779.17569268524392, 779.69427790898703, 780.19171005424096, 781.00769532400523, 781.15533681049271, 782.65985641905422, 783.30401831219217, 783.91092691275378, 785.27852298307744, 787.14542182840739, 787.39620852721134, 787.8059257032188, 788.36257360315619, 789.9164037053016, 790.51456468365268, 792.89879579188414, 793.71960273959348, 793.74284026254611, 794.10262992231412, 795.12897634752426, 796.6864131938753, 797.64456905650263, 797.72272022043285, 798.10535418650045, 799.33363080666004, 799.59426169518474, 800.62241217938833, 801.92535437350477, 802.57085993082251, 802.98280334652418, 803.18737365360255, 803.69628125480415, 804.54324876405906, 804.76525584059902, 805.27002779854161, 805.54689718030613, 805.94497616816238, 806.56737910612378, 807.53770468831601, 809.033079352036, 810.77047075101734, 811.47799703079397, 813.53531760014675, 813.56019632557616, 817.06372062297976, 817.1253402982278, 817.3452562911358, 817.93072787559379, 819.27970838574981, 823.0985460013336, 823.5409240957116, 823.97122921414814, 824.39395350034886, 825.33721089111077, 827.24223050616217, 827.9832941382042, 828.52740369523292, 828.88820363906473, 832.58004976466543, 834.0106838819521, 837.37828910615099, 837.97965976243916, 839.44197064380899, 840.3563801225032, 841.8335445328205, 842.55853321436712, 843.97599116852427, 844.24685099816986, 844.51160307597831, 846.78484108112445, 847.86985779977158, 849.89640919018689, 850.56856579083842, 851.25805336999622, 852.08320732192601, 852.25052733021187, 852.33690580182451, 853.65913144072113, 853.73134445805943, 854.86914607872507, 855.43769133981232, 857.28385910313864, 858.75302623240714, 859.53376306430323, 859.84104044577009, 859.96736997004894, 860.40310407517768, 862.526328219334, 863.78600452662022, 865.91900650622892, 866.32016100339422, 866.36030540107504, 867.49191805607552, 868.11802645028376, 868.42421597585906, 870.60046055632222, 871.24825494729566, 871.41467543067779, 871.76505050952892, 872.73115656131688, 873.62378526491534, 873.67118694247881, 874.33654452439941, 874.68504113711799, 874.84962665553405, 876.68619078384131, 876.94995648832412, 879.36230435369885, 879.7723179996766, 880.7972723459178, 880.81858127686678, 881.59399484633627, 882.33598885499168, 883.16477436639343, 883.52137006182227, 883.90969776559132, 884.03069961578774, 884.64625188110779, 885.87434011647906, 886.83703426102227, 887.1975389106633, 887.290848834656, 888.02602151440453, 889.14635672431291, 889.3061115190028, 889.39013461756713, 890.72550993106393, 891.24540879969845, 891.30969630506024, 892.7852320034126, 892.87612040803288, 893.40087560526547, 894.55697408036542, 894.93415514878131, 895.00155855695164, 895.76676121944388, 895.86971015385313, 896.7836008900548, 898.15932655636186, 899.9515239396934, 900.92193668780646, 903.24617605546223, 903.3475711770551, 905.73085795728207, 905.9140170258238, 907.35536909758548, 907.95266138386285, 911.79013810583274, 913.13283303136132, 914.59076173578421, 914.86706563293433, 921.46706203392216, 921.8011877734491, 921.87391563698634, 923.00772645036602, 923.90167051361254, 924.11011124236904, 926.50591249519459, 926.91906335896238, 927.61177982101435, 928.9727597465029, 930.36161941887815, 930.77340886088018, 931.01662145357329, 931.37376349163355, 931.66578005690678, 932.27157645541376, 933.0095568808897, 933.87033469290418, 934.22149574890568, 934.78883064422678, 935.00124869396734, 936.170765557241, 936.92429301273046, 938.12083005623901, 939.8032729142908, 940.54536739315381, 941.57887851655312, 942.06863411380766, 943.33924599872, 943.39267350487648, 943.63973161919944, 944.47721018876427, 945.34584825720924, 945.8152591263671, 946.52214747664902, 947.73527569643625, 948.73190064789458, 954.9316716188838, 955.18965824130134, 956.24480233164707, 958.7837963904766, 961.22897923018411, 963.16747988915199, 963.27167453251047, 963.98770457243859, 964.17768022643122, 964.86981023329213, 965.76583071552284, 965.86315111935812, 966.22200134302261, 966.57563098166804, 966.73706701574974, 966.83213595592281, 968.88187023719763, 968.93558911672721, 969.09126827319665, 971.76435692518123, 973.59211592712643, 974.02339942233323, 974.78149901120582, 974.97705447402416, 975.26373108436781, 977.96957900569873, 978.31908262762681, 979.3150216050542, 979.58218327912789, 981.9788891683371, 982.98046678144135, 983.24932324873021, 985.3497578477959, 987.09347121656197, 987.79064545699941, 990.87434223922639, 995.84422405412352, 996.80496490465009, 996.84372898705658, 997.21464231943366, 998.19519341596992, 1002.0254929250303]),array([36.120844040493097, 37.528199668802486, 38.006842142564764, 41.912898898372525, 42.689724078686446, 44.154706437991742, 44.562892436973947, 45.28283873178205, 48.255539111946128, 51.712245424130074, 52.482006974186497, 53.926191490728357, 58.331167443740121, 59.828306956797526, 59.872008822259048, 60.29752530524091, 62.015166632679282, 63.556926386783786, 66.521325835911554, 67.51427842577381, 72.075383608922792, 73.12757147500453, 76.212742732374466, 76.246740432981326, 77.716474194597566, 78.263827120227276, 79.755165311245065, 79.827918056107762, 80.03871780909121, 80.198481024879285, 82.000849075239117, 82.382808020406685, 83.513039621801326, 83.991642432866399, 86.830203315409562, 86.862623024596729, 88.364126266386066, 88.808551217760211, 89.150129317701357, 91.386630986955623, 92.595740697299092, 92.6806484428121, 93.557277908366487, 93.959210232481922, 94.505686430004431, 97.058234725944615, 97.091997983304054, 98.413397132455714, 98.91820762465818, 99.103351886101521, 99.247143131880293, 101.69665564836602, 102.42271364839632, 102.80306237271135, 103.55525554247248, 106.27229804412075, 106.51991859168859, 108.41914069484434, 108.51463766833383, 108.59954445330679, 108.98297758837028, 111.96464433003595, 113.19692314166555, 115.20218537083277, 117.71522709788506, 118.00609953028024, 118.61229486175348, 121.77787298312586, 123.47010246784062, 123.99891202139302, 124.32094545282952, 124.98966419706291, 126.78279186046261, 127.11681394351574, 128.00922530372264, 128.8968904410381, 128.93318034103871, 129.47397271333892, 129.4952881877293, 129.81650407437525, 130.64939187463006, 131.11266637066737, 131.27255060710297, 134.13220713665208, 134.63109115012244, 135.12957435825655, 136.71454760556639, 137.27974525413873, 139.51145438755876, 140.97219765635668, 141.20542901600615, 141.38750881370723, 141.92324786831031, 143.06566627671546, 145.02999080763379, 145.24760705366069, 145.39353755573842, 145.65250747791976, 146.5999140601462, 148.01266831780134, 148.79562795045922, 151.36280833684444, 151.39163604300924, 152.2105734948247, 152.87681302813135, 153.19949257911838, 155.69569252625428, 156.00978472311593, 157.5134695526983, 158.47332222804846, 159.72678469997697, 160.40662325188725, 161.55370010611918, 161.71081713495144, 162.67391001956315, 164.77391327880363, 165.70241770446546, 166.75418419877286, 167.70935375418338, 168.35327800701063, 168.88679515908376, 169.11031059565764, 169.51728989047945, 169.57415780873472, 170.37015136194276, 170.46862131916194, 170.76424162514783, 172.59131783062443, 172.69594355663185, 173.1227429288638, 174.228345576169, 174.84029931812771, 175.16587788462644, 175.5745129965172, 176.31545414835665, 176.89284490180034, 177.63192523803701, 178.64369108134989, 182.33023736983259, 183.2744882048282, 183.63442155557502, 184.09507549762944, 184.29276720127163, 185.55636988306713, 185.65860322692075, 186.73338973972898, 187.30820666197488, 187.59770180452563, 188.53107936080457, 189.64329975033678, 190.35086171218038, 190.64050404967813, 191.17372894268121, 191.27304698902645, 191.72392914482865, 194.57760962578743, 196.06243529542328, 196.29339654895327, 196.61884426906897, 196.99120863102439, 197.63462000627044, 198.06607255691571, 198.41954587537575, 201.41291667305649, 202.99155935116517, 203.55174878776646, 203.59702362629508, 204.43988859150937, 204.70985363475089, 205.7734402591712, 207.46692682630737, 208.81532395771001, 209.04674990557831, 210.04475867056854, 210.8651347395234, 213.49245440037015, 214.09942919752876, 215.33003573051369, 216.47260976804978, 222.65978967490719, 222.71211599438092, 224.06129463770409, 224.15461749504544, 224.58236954180643, 224.91306159570067, 226.67577252182005, 227.60407297408739, 228.77539416389874, 229.70027245903532, 231.51612414852713, 232.80284059471762, 233.09201357462035, 234.48606833909182, 234.73387891969267, 236.74527408412786, 237.85839185813791, 237.91940207507497, 238.57503756563631, 239.04073104813642, 239.4876283531886, 240.00184790696548, 242.25431315342203, 243.54542112962181, 245.43246156091453, 246.04175477211666, 247.36909806813898, 247.83618830360251, 248.21771245265694, 249.85567168934648, 250.00593576219259, 250.12499028816956, 252.57089346807223, 252.65017562194413, 253.51782092327463, 254.36306507925752, 257.02916602396908, 257.2544749586217, 258.69707398856605, 261.27250831133551, 261.85129701558122, 262.63245931574414, 262.93776829279852, 263.49058951040053, 265.27424954604879, 265.58556862884814, 266.66030168080152, 269.69623730824355, 269.8494931783257, 271.05446155198968, 272.83131635436007, 273.01610499531807, 273.18404181113829, 273.96361228977833, 276.29917398432218, 276.57675900207153, 276.62369451740864, 276.68739804916288, 277.66562761004934, 277.88833789695951, 278.81620285867069, 279.84956590053952, 280.78368921179521, 281.90956495773236, 282.99576242295672, 283.65846080806421, 284.08900559575528, 284.36132354540655, 286.10897543347238, 286.14817503550961, 286.38001157046972, 288.99733738126685, 292.4642242933943, 292.53105592492119, 294.36533119282092, 294.40643303189728, 297.04074975985111, 297.68624597075882, 298.49966061518205, 299.37124878686984, 299.74719728757032, 300.96307590597718, 301.48431529421879, 301.59241181440859, 304.34010431488446, 305.01551698875198, 305.40744780405845, 306.82574408009236, 311.26651651025765, 311.75396242241931, 312.27290512496103, 313.09597627663811, 313.93536649290974, 316.29671519224576, 316.5706425477037, 316.66242144853948, 317.33315391786073, 317.54890126033672, 319.37964717632286, 319.47398749295428, 320.5553916560624, 320.66449005878428, 323.0974542026766, 323.18699570022409, 323.76260454661099, 325.77435115198915, 328.42902321208629, 329.94118807953106, 331.22975462104807, 331.30367679201822, 338.68134911152441, 339.43131635267986, 340.4294963730045, 341.40505897199523, 342.06964603450388, 342.15815319771031, 342.45108772624747, 344.04535291487974, 344.30563629801577, 344.55562443601247, 345.01211994619683, 345.28217588650637, 346.5541113654939, 347.37539660221915, 347.44912449357804, 348.65963577178678, 349.85506052986403, 350.04858094625223, 352.20495389243024, 352.30684804671358, 353.5306536739476, 354.73882267503097, 355.55469573461704, 357.16580567599885, 358.87622413002066, 359.30594424768213, 360.46673372376915, 361.7970987788986, 362.01174410870237, 365.12827186682125, 366.87665446764726, 369.40285925954919, 369.86537304933529, 370.52817816951688, 370.57870207790114, 370.668756833445, 371.68425015712535, 372.45393215069703, 373.06895027098363, 374.40076147199409, 374.48250295331667, 375.08001138064935, 375.15977963849366, 375.95582262125509, 375.98758605897615, 377.01603974817669, 377.61734643934847, 378.77237255851821, 381.34735033584519, 381.40472381330068, 381.47000765940157, 382.20117530845209, 382.91923997261802, 385.51849104035034, 385.65901516890796, 386.88998383127728, 387.96137972392779, 388.4044102457604, 388.76819192432293, 390.78522068766097, 392.01281467958262, 393.72173242941312, 394.2800760026746, 394.31160626164763, 395.13632947296571, 396.99122726965351, 397.13380388629781, 398.3755105007242, 398.59787512008501, 399.21146888267543, 400.87589418548515, 402.19808517418824, 405.28413012353178, 405.46110481279908, 408.66358724077105, 411.55386514609404, 411.58754449660415, 411.61288753268286, 413.68991451404463, 414.15884143089011, 414.89913515433085, 416.49023000293244, 416.75342905866455, 420.81727762616498, 422.04634978565042, 422.20888508187096, 424.15589873360693, 425.41263351660001, 425.51758622540609, 425.60296277556398, 426.05000979743602, 428.20546476452, 429.55679824211205, 430.08229156438858, 431.16582670417432, 433.90195149910465, 433.9492766249341, 434.2525722698108, 434.29602470912039, 436.80711420400928, 439.20979924881868, 439.62115896597129, 440.47273840841586, 441.62758763924705, 441.83257052411153, 443.74917527365358, 446.40637945481558, 447.85264831935359, 448.2264696849785, 451.22812534737028, 452.06804458229504, 456.79795192371705, 457.05962705891602, 457.29841113878956, 457.86877845147296, 458.8864006169045, 460.06166184371443, 460.59549005863892, 460.88571629485523, 461.05427152414069, 464.00888647420544, 465.12886335128707, 465.78163352900123, 467.16106704102322, 467.3517065466603, 468.1456413005979, 468.32296716470984, 471.02067253702791, 472.01014125197554, 472.06168772870899, 473.61509636908283, 474.43339282526131, 474.75015868309725, 476.87962903160877, 477.1540738158206, 477.38618512377985, 478.26192284855131, 479.00299718616083, 479.20168351919625, 482.36509675493903, 484.60953137183486, 485.55590469774023, 486.98629944284028, 487.37800911380299, 488.26623522222593, 488.61712580980446, 490.7221789484766, 490.79140081911589, 491.84854009924078, 491.95085020633951, 498.96069602273792, 499.8095329329077, 500.88470850764713, 501.16852233818622, 501.42048664271817, 501.63444566570996, 501.72010621677231, 502.82499880067388, 503.09735706348249, 503.20928729759777, 503.85865993779561, 503.92616191243872, 504.39876929679099, 504.70714096154842, 504.92340297316161, 505.01445836544434, 507.2187320168324, 507.47643278853315, 507.82050892069242, 508.44028945276301, 509.42844744703336, 512.59613342734951, 514.02776886739116, 514.17893599887202, 514.30036808301679, 514.65853610157944, 515.28334839029321, 515.43905128422591, 515.88527538707183, 517.27587598031585, 518.44515273120874, 518.63947322564127, 518.76114185187055, 521.82024977912636, 523.06383275282553, 526.90701678635128, 527.34132283142094, 531.64477682754693, 531.97003893816509, 532.51465671905294, 533.2087330188383, 535.04069277947394, 535.0734883955331, 537.09730125057445, 537.7042153475287, 537.82087626383236, 541.03275220317005, 541.69667818447874, 541.89575808339475, 541.94363965382638, 543.93552441019608, 544.40146827571527, 544.46591082713405, 546.57830266353221, 546.84788625994975, 547.06152630069687, 547.54126165614582, 547.58636711867928, 547.77136173429756, 548.42103285939652, 549.59978603070249, 551.27481303960883, 551.99505579701633, 552.81963101095027, 553.0395138222276, 553.13119485255606, 553.18023805251983, 553.28355048651849, 553.30679841536335, 553.64270714930319, 553.79751884475832, 554.11044323490341, 554.39813607300061, 556.71368655251695, 556.9366750825825, 560.77957019611574, 562.12997020150044, 564.89583812113335, 568.84518007093038, 569.88892897908806, 569.9494346468091, 570.61394286622749, 570.74681032075762, 571.47505661399134, 573.39745768292926, 575.46179978427119, 575.80267581081978, 576.88926725730664, 578.17003869378107, 578.29968439246443, 578.70886092380817, 580.28951538754654, 580.57732925700009, 581.27739012124869, 581.63461934979944, 581.73496093982055, 581.77798810952447, 581.99685046623722, 583.74791286134439, 584.01466719593418, 584.47319961276719, 584.64721996078174, 586.0693700394894, 586.20759679561559, 587.11276059617558, 588.64550505524221, 588.98781649799059, 589.66039521049038, 589.86379523858295, 591.60126523417887, 592.34632498270923, 592.90523063312185, 593.01726858955476, 593.37551057056237, 594.59876341126858, 595.93898704021251, 596.60479266545428, 598.23237884890989, 598.93432763820852, 599.27342116775719, 599.33427415083531, 599.43428246226222, 599.51083765578085, 599.70723659063742, 600.26453165624764, 602.35361510326618, 603.61716748912852, 604.0454092080754, 604.934142196935, 607.76112303072784, 607.94838887619096, 608.93532837378882, 609.30586143329072, 610.75280468375524, 611.16588800876491, 611.3057641905466, 611.65709400194623, 614.4866957577492, 615.04891644542215, 615.10861459844114, 616.54235806398015, 617.29194225659478, 617.76414953905316, 618.19338966682471, 619.49777677490022, 620.50960605562443, 622.53928494019897, 625.92553506451884, 627.07195972054876, 628.13952182350511, 628.58269893779243, 628.88771142904193, 629.25277747361099, 630.24847273986188, 632.20082992669279, 632.68486082739241, 636.30628318573372, 636.52952269913567, 637.08384198635611, 637.28436870598455, 637.369827602486, 637.85091202173408, 639.88684263629864, 642.06711138888795, 642.28947672976381, 644.16158213290942, 645.7118841540173, 647.06372402805312, 647.46590925653607, 649.12431715227956, 649.44491459395681, 649.52857479786837, 650.5133322914877, 653.34217237383814, 656.36938811238849, 657.06227940817303, 657.73797301636682, 658.93485206570176, 659.15240059408211, 659.84895565553381, 660.89267728250229, 661.61300536634201, 661.81569027445539, 661.84623245972512, 662.71059951149869, 664.86403319252452, 665.49035518637459, 665.51869562899117, 665.97141925053643, 666.72262354368615, 669.4619089921058, 672.23884181210326, 673.74812705990007, 675.6736637279123, 676.33870934503955, 677.81804399571388, 679.87049515971808, 681.14080866283382, 684.2097266202768, 684.81294528782666, 685.62461912759943, 685.78903047476604, 686.14166891173477, 686.65595053271375, 687.01706769382622, 687.99096692337298, 688.52201805134064, 689.82207052915408, 690.13134750079155, 692.11733407123756, 692.81700262443667, 693.88729059862351, 695.13139750910386, 698.06186310672524, 699.97281607455488, 701.75784908647313, 703.33379009394491, 704.45346338262277, 705.03709117674418, 708.11345361927897, 708.44001950924871, 709.30461498447346, 711.82904639020956, 711.97253098296073, 712.23592439530557, 714.55461744688284, 717.44536953697923, 717.92730467899321, 719.71525260750968, 719.92000639970911, 720.94018515763946, 721.78418946752663, 724.21360739256988, 724.52269461089452, 725.7918862123214, 727.30349255390627, 728.72950819883999, 729.2820276974104, 730.49487352251049, 737.33261670679656, 738.17234003802878, 740.05548531423756, 741.40798355093455, 741.49799150126148, 742.19255990915246, 742.24856142085707, 742.42084014522823, 743.76975741300487, 744.30745898876069, 746.37875089936506, 746.53290812488524, 746.91428133588931, 747.46479131476212, 747.94114176354628, 749.14539268037367, 751.02963969303494, 751.06318715029454, 751.96632650900381, 753.53823400547128, 755.19105296876978, 756.27830554831405, 756.3941770665059, 756.62932745113608, 757.57233120913384, 758.72736494396236, 759.71338928900946, 760.88056096012576, 760.98921333013482, 761.28820058115252, 762.95940724175205, 767.84347458728189, 770.35891251528096, 770.39617782385415, 771.2067789990258, 771.5902445199207, 772.33853553893857, 772.65011106317263, 773.98695023639164, 774.14948813112323, 775.93283063189597, 777.02895902519742, 777.43128405349808, 779.90097125063176, 781.1485171277626, 781.21855100418736, 782.18473393611407, 782.67049206790887, 782.71187699500319, 783.56419294804311, 784.06836155352346, 784.44368316325836, 786.90723452256441, 787.90636544492952, 788.07031927012417, 788.17932518869623, 789.18154846454922, 790.67631921142777, 790.8836769962021, 791.19885154745316, 791.83876553519622, 791.87782589616711, 793.23762688970373, 795.59603723491387, 796.50883866345532, 797.26258651640774, 798.26143078745122, 798.40714124947317, 802.06684419610713, 804.40568482738502, 805.79960645646065, 806.70830142917714, 807.15251415055411, 812.10090432434936, 813.99712808361562, 821.55940414089878, 822.4010304549289, 822.97579898873948, 825.68026480355616, 826.73971358907295, 827.76179752428277, 828.12433912237282, 828.17602901584371, 828.46327305969692, 829.65174602219315, 829.72171583954389, 830.05125618526574, 830.39088352650219, 831.14960698746961, 834.75769322971996, 834.90998104050016, 835.2984326208599, 836.72583032634282, 837.48337826170314, 837.50962396754005, 839.15389273919288, 839.60265721248265, 840.10884194663595, 840.27560402963604, 841.67027940055618, 842.72865424636007, 843.13742327182149, 843.68822311616771, 844.2257613678172, 844.76182764480586, 846.22280022100074, 846.43075254215034, 847.06398147185007, 848.920319178162, 849.21632289215631, 850.46573712917507, 852.85273826862033, 853.73569383855602, 854.09856704996002, 854.32566500949611, 854.35254640871017, 856.2673325410243, 856.42960452930026, 856.45211708149805, 856.72498872204937, 857.27620310307759, 857.30192779603476, 858.88829529811835, 859.21671373881861, 859.98338935894355, 861.1514348643808, 861.57926093879041, 862.56091267088004, 866.34004244414189, 867.15004200654812, 867.9837880617107, 872.1129807101172, 875.22512055375591, 877.19157240019524, 878.42191045415871, 880.07071143224698, 880.26332984746102, 880.46103537042552, 880.8406932508716, 890.54422575648505, 890.65756355950714, 891.55046830769595, 891.71531935195651, 892.00203303241574, 893.73593983851947, 894.3417714346341, 895.53237616394949, 896.59825711548433, 896.83204783077497, 897.4622747645534, 898.4854798293228, 899.20611805365604, 899.24220544948969, 899.41181442170125, 900.14123251455328, 900.41047575708012, 901.94672189925075, 905.05256491233899, 905.28865157639814, 906.14365824964239, 906.42208547874952, 906.77495655443761, 907.39375855077014, 908.08814269796051, 908.51486025290922, 909.45451223170403, 912.75570824958959, 913.45579287614362, 913.78319008980952, 917.0377066058021, 919.87142978603333, 920.05069544740513, 920.14378344281477, 924.28660126421016, 925.71859671724997, 925.79838932860753, 925.98254320692899, 927.60828076688642, 928.32613276299742, 928.79888267022238, 929.54402900618129, 929.74308594368483, 931.07759037989786, 931.83824723384862, 933.30279484268794, 933.55911394677287, 935.09733269701485, 935.14342672692533, 936.19595942271803, 936.22700144229361, 936.26938550116631, 937.49611892941505, 938.71005543002127, 939.02204655862749, 939.2218390838849, 939.32087257287935, 939.4063345217744, 939.93438019464418, 943.45888294081374, 944.6439757927908, 945.47900357146011, 945.997590256953, 947.37567622010033, 947.9759392908237, 948.39682434292547, 950.29385305803396, 950.96979738854441, 952.69703208509816, 954.22056332275429, 954.87314395201736, 955.04063679434, 956.46036470190745, 957.2746300302648, 957.74113499724399, 957.9450449911368, 958.90807367578657, 959.4088619697277, 961.35999173778794, 961.52168197684716, 961.72277811540368, 963.7738457201724, 964.06989782305675, 965.15478322989247, 965.19335565910296, 965.51648322890549, 969.26660379880354, 971.50778243493198, 976.09044072256302, 977.56722957215834, 977.92242378580443, 978.71689608349914, 978.78997864310088, 980.64671657144675, 983.32522602025972, 983.77455843493533, 984.51285166731657, 986.04813637847178, 986.08577295304349, 987.98982676921457, 988.88148536723759, 992.82309310882351, 996.1057216665688, 997.49897144123258, 998.10401407732331, 998.39442538844708, 999.60468115161268, 1000.5740932226582]),array([58.40500127280125, 58.942822935325587, 59.076092575967813, 59.256294569405945, 59.333146111992228, 60.31927262771778, 61.366011913662078, 61.45312269785564, 62.353965975596815, 63.57136665330497, 64.019551201496611, 64.172732651373963, 64.535430211703584, 65.779810879392258, 66.804192222841465, 68.416889120689291, 68.476324362354418, 70.681629331572395, 71.482507175504963, 71.787903192044752, 72.072247841398465, 72.418127497618514, 73.071558846791078, 75.486859892660902, 75.770301041901078, 76.128174450682792, 76.579228161424581, 77.388676918818362, 79.761841041675581, 80.162661952868035, 80.187525077488388, 80.232670657083759, 80.309563046666653, 80.896668160357351, 81.185174876940565, 82.547820625761375, 86.544399105141665, 87.420272913303251, 91.158555337033349, 94.519698457800786, 95.280332118137522, 96.129764957894764, 96.425583003957243, 97.305054675042584, 98.348795737819685, 101.06012727545288, 101.08936511169561, 102.32829501283462, 102.48807643392668, 103.06412389091028, 103.12556883302479, 103.21211368907355, 103.4265321719777, 104.84290430641398, 105.63167806527582, 106.76500583474477, 107.37212276953416, 108.92220006183828, 109.33997391514033, 109.83193760075758, 110.19523874449987, 110.64060184096586, 111.17013607795539, 112.14324279377445, 112.68717273255595, 116.40745102003397, 116.98529741900042, 117.03397430410223, 117.0720505800665, 117.20606408411557, 117.43836691305935, 118.54464008237532, 120.42233197244549, 120.61617452761715, 121.87208556130766, 122.848504557056, 123.25747715163583, 124.52238387288243, 126.84104013201308, 127.02016928807906, 128.02061568386245, 128.5117391947033, 129.76281825124303, 130.11197923039487, 130.28326994801495, 130.39085614311787, 130.59962264261267, 132.32808705306516, 132.39130207182464, 133.60697025174346, 134.325212172113, 134.80294474510671, 135.14298270976656, 135.88310930232677, 136.67250268018921, 138.36312981822803, 139.10845665039318, 139.96169425694342, 140.07365576769374, 142.1627359768332, 144.33821014638693, 145.29098748546571, 145.69741519207338, 145.82263215155186, 146.84996709508926, 147.4083145021041, 148.22522322719294, 148.50451494648175, 148.54978242692587, 149.35464433519877, 153.58195112925705, 154.17991883642054, 154.71282462235075, 156.66025550081582, 158.96741293102562, 161.98302375852433, 162.20782471499851, 163.42923192346083, 163.59256565624418, 164.34427233154409, 165.94848897368846, 166.84697935932971, 167.25014668997707, 168.82029245921197, 169.2382432721846, 169.54887527144544, 169.63681149007832, 169.73867239950539, 169.94350310088842, 172.00578007194778, 172.34235672508234, 173.57468975133966, 175.72345692127385, 177.11237330221016, 177.14639514018248, 178.97690992682448, 179.82314731062411, 180.32371607294573, 180.70947061509793, 180.90548220800164, 181.05884101598514, 181.66367798983933, 181.83897217185151, 182.4314509284915, 184.59954436179075, 186.02881593731331, 186.68559275568322, 186.94592325443668, 187.92400716808592, 188.34596931666223, 191.23746493545408, 192.31212236024734, 192.43727390720755, 193.51766460439958, 194.48183554260601, 196.24093790009985, 196.50323281382609, 197.36853205990164, 197.73934924074194, 198.46422226436886, 198.62478906286111, 203.11469851643585, 204.2843785849534, 206.1686865865687, 206.92879882723975, 207.13778293283781, 208.73422454702771, 208.9713922586991, 209.84489331835084, 210.17033683663615, 210.75272470846929, 211.94426485782495, 212.22344396526708, 212.78310923890308, 214.61705615494824, 214.68167437421565, 214.9506333425303, 218.10077456962617, 218.31419993594062, 222.62148655546935, 223.34299756450929, 224.2319609442074, 225.64699696846853, 226.30173767628568, 227.15328674329402, 228.98244059316849, 229.69387437042329, 231.12523544569086, 231.55898784180394, 232.08214949828053, 233.00971349313497, 233.55634993685652, 234.90188387317264, 236.21015319773929, 236.72923546898159, 236.79081246522836, 237.38694189929149, 237.94570458983651, 238.1228386429004, 238.78890357274781, 240.8821069202715, 242.50651514513197, 242.85013804516603, 243.99507861588552, 244.06240798791541, 246.85022604769304, 250.6430279278749, 251.74321787543479, 252.92394028917172, 252.99772442273715, 254.04014960809204, 254.11679485489972, 255.55383890059815, 255.83341752137193, 257.04850475032305, 257.44195552161568, 258.97111382930217, 259.03254569358984, 261.49881538525733, 261.7421466522199, 262.40153024078046, 263.86019410684924, 264.65737262156017, 264.97333597354503, 266.42239886430946, 268.2399952939316, 271.17989202230768, 271.9645391843606, 272.50330840665072, 272.77438064331329, 273.08608138742647, 275.58646114978438, 277.18058412974875, 277.44287855454854, 277.81728596091966, 278.02868020134684, 278.05253313174035, 278.50334152711497, 280.83986129352843, 282.72691130877593, 283.65953161021429, 284.4757470067247, 286.3357142475005, 287.38792554714973, 288.8284972933871, 289.68746356789023, 289.97564898803438, 290.05770511511577, 290.97033750959929, 292.20256298253815, 292.2373261628673, 294.82117922806839, 295.24325847894448, 295.47619086447827, 297.7003226052579, 298.24608505002675, 298.94023434565531, 300.50078621884842, 305.49044699959251, 305.55789209675902, 306.07738780355373, 306.37176045273009, 308.8571631307729, 310.76209841018073, 312.19403489790523, 312.61280909440677, 314.67023792812739, 315.66062170820697, 316.72754209568052, 318.19473573932584, 318.60904896147974, 318.65535048753082, 319.96388193555686, 321.33860475545293, 322.58168916700714, 323.19886764026023, 326.73700000847612, 327.20937977571151, 328.59268899737333, 329.20244610509786, 330.40270627472142, 332.12514813081219, 332.18165982233353, 332.71573793180755, 333.90562674481021, 334.96168257758933, 338.73331674873822, 339.10920141342865, 339.82192018357574, 342.02140743587381, 342.85387392114944, 343.49919246817518, 344.29599062899717, 346.29063181337938, 346.54295186241291, 348.2212120357903, 350.78830369640144, 352.42163811931789, 352.81623395760886, 353.67812106110966, 354.07052788445532, 354.10310355921354, 354.79100539859149, 355.25037045370846, 357.90835225311071, 359.23926385980303, 360.44950838885819, 361.43654222854315, 361.57458735110811, 361.77857532098153, 362.38876771773812, 362.86048020927228, 363.64675004522837, 363.69466213825285, 364.04099250280456, 365.11140798486952, 365.37294229615736, 366.65021252796197, 367.08820092685028, 368.00662518268786, 370.04799882139508, 372.25822871809993, 374.1516080585904, 374.20630391190991, 374.30752830917731, 374.57898638275623, 374.90655245076346, 374.97787617102131, 375.41667496037627, 376.60213571620119, 376.63681769489023, 379.24370610881488, 383.55617885286546, 384.91440172861184, 385.02798213786252, 386.38127460811563, 386.82261496864362, 390.0000491756889, 391.19346392288134, 391.4952721341499, 391.62792274461253, 394.52832915936045, 395.0661728454088, 395.10373214086098, 395.92359345120525, 396.6512265832153, 396.78084534194284, 396.95824615705965, 397.04119381600816, 398.14340840468958, 399.63944262406318, 401.84123769359024, 404.74822329617672, 407.5582643749774, 410.65006406820908, 411.19936146437738, 412.10970922286162, 412.20859033447033, 412.39502467978201, 414.42446833829825, 416.54071700010388, 417.38117332083812, 418.7725412936295, 419.64540939681979, 419.79666752547075, 420.09646941173321, 420.94463461231692, 421.51042276106028, 422.12624386394236, 423.59123034805503, 423.64849391075842, 424.6591953403377, 426.14316836379794, 426.42624647954301, 426.8034556946144, 428.77203365713029, 434.69507568719058, 434.76872357160863, 436.04857166454906, 436.28694473732736, 437.79966357119355, 437.98962469994996, 440.05525902236809, 440.6084391903247, 440.88827417822205, 441.16424855869764, 441.90225849176198, 441.95313575163465, 444.95041643714711, 445.25351516588233, 449.11605666910975, 449.97082839413605, 450.46206234284926, 451.15779195869379, 452.44693184291503, 454.54452741169769, 455.30591961502199, 455.58544087151188, 455.73649747630083, 456.14392926144939, 456.20486609710207, 457.07534387242879, 457.20863597708245, 457.37472653621847, 458.27275204747735, 459.85136788703528, 461.40904028854447, 461.56427667150092, 462.04560006583347, 463.20777973355729, 463.34407258811808, 463.55857524679197, 467.72471696443898, 468.29728209447904, 470.08153064985567, 470.11611203688284, 470.60744701412051, 471.26176357121932, 472.72895815448061, 473.53721807405094, 474.74233717510094, 475.35506785488826, 476.7912577988418, 477.78879825292631, 478.34283405904898, 478.98461349708163, 480.17374630937945, 481.95432661779955, 483.30865093510783, 486.56446657042989, 487.74771916615845, 488.09430248021442, 488.87247538243548, 489.90773422053081, 490.07180993498594, 490.82848134948074, 491.59412580910356, 492.31434897101684, 493.36819145346681, 493.47634430649265, 493.74374694090716, 495.96999049137747, 496.38771964031531, 497.89976711348351, 498.07306578081955, 500.18859927628296, 501.42700746072614, 502.36765128245332, 503.75123009947094, 504.10505425923969, 504.272040811198, 504.66586322937491, 504.77820571468914, 505.70030062017725, 506.36917134319333, 510.28840408941255, 510.43616813184678, 511.24810255293949, 511.68047616231792, 513.1550922596407, 514.7838343871166, 514.97205025870142, 515.47971738985495, 515.77732789287461, 515.80656298231656, 517.99780078555284, 518.78020405160635, 518.97440159908297, 520.00743704093236, 521.25425151239529, 522.14277194361705, 523.43824063474267, 524.27634129665512, 525.34669441246331, 525.63718895929503, 525.95647783009201, 526.94261487110305, 527.14476209523059, 527.96799527904329, 529.53313783725696, 530.12085324610268, 530.87730576279023, 531.53953954917381, 532.75722703810936, 533.10323171508219, 534.19889382751012, 536.66019016332507, 536.83066717467977, 539.18444706496268, 539.36203713306554, 539.44189204237193, 539.79759673511103, 542.33426870890662, 542.89847629200824, 545.10281167324547, 547.75060753098853, 549.65304208114765, 549.81404777817204, 549.91139746877491, 550.21963803672236, 550.66526570058227, 550.72420558250417, 551.65261145403201, 553.00561551090505, 554.11213704720251, 554.63800482039471, 555.14442251770572, 555.51804713851789, 556.46399936477712, 557.67759410062183, 558.00538865057513, 558.42061894389553, 559.03638026778026, 559.07007709857442, 559.11525002897508, 559.89540609702965, 560.05869304754913, 560.55048350093159, 562.33966203429702, 565.00825161714977, 565.32513930015455, 567.75136315762836, 569.07004903263169, 570.56639378236991, 570.6046075548104, 572.10806929955618, 572.98495860434332, 573.36558291821086, 574.03739210740468, 575.26537630043765, 577.68347528910954, 580.78686946650089, 580.86591443252792, 580.95026928476921, 581.53351522585558, 581.98918470465435, 582.78906113431219, 586.72191395374284, 589.33817307765059, 589.79029258723585, 590.54041257362621, 590.83887905583117, 590.94360252209447, 592.14826697030765, 592.78300130761158, 593.44780081647286, 593.73485724396437, 594.69331154847566, 594.99391641185218, 595.12647872436298, 596.27154820061639, 599.56907588462764, 600.85347770921749, 602.41090288416012, 602.74707640128884, 602.9073041768612, 603.141601247219, 603.56621997489617, 603.71146953816333, 604.53416110988815, 604.83762756534236, 604.86353436293746, 605.49181654144502, 605.93745801396403, 606.69897448908432, 609.50618301948009, 609.66030746889817, 611.00637314071798, 612.03170463728918, 618.75406961710917, 623.741950162526, 623.82614430059107, 624.21899933361249, 627.77119984839169, 628.53034915605838, 628.65794402169024, 628.96775606555593, 629.02482182837332, 629.57991856235242, 631.89171338664096, 632.59080750487726, 632.78765015128522, 632.87692601823062, 633.69586688644836, 635.04964144019812, 635.36537621682396, 637.37368177824158, 637.81682527796033, 637.91786980896393, 639.71862226713483, 640.34587165602829, 641.89422259377591, 644.33480440318522, 648.20488236113283, 649.71696436161324, 650.22033337141113, 650.48940723497037, 652.93836128364217, 653.04708227106414, 653.36815518186984, 654.05971933354465, 654.09983122271353, 655.93114605890821, 659.11195988606016, 659.14084072377398, 659.85484010625964, 663.1915727209572, 665.14417941400575, 665.26772144457254, 665.49355198001479, 665.61403963423413, 668.42333830742302, 668.54281496552619, 669.95135576877772, 670.10851660915341, 670.55437729260086, 670.8627881310324, 670.9924484090493, 671.16864596065602, 672.19926033098511, 672.60743712336443, 672.9427450912043, 673.78375485387812, 677.14045914677558, 678.86214523775038, 678.88454372895217, 679.65935117122035, 679.98869138286409, 683.4238034657443, 683.64793065156744, 683.80972282250582, 684.56493534544825, 686.918241139624, 688.3726402630607, 688.5902031673487, 688.92520822601557, 689.37735114587349, 689.94737654010873, 690.67220160927491, 691.99503776981817, 694.4282006672812, 696.34479903229885, 697.08372444363715, 697.83913447226291, 697.91743933054352, 700.92996840563455, 701.96289009019858, 704.78038820056872, 706.09140632107778, 707.68620015006024, 709.80967270860947, 710.56066274739464, 711.21794267988253, 711.81402383013005, 712.0627231791276, 712.40207267064011, 713.26783862681543, 714.47012176538067, 715.38259572550783, 715.63122914982011, 715.78447070858954, 715.91682588828007, 717.44915499622209, 718.53414272409975, 720.61133819877182, 721.01762958111169, 721.22547600002588, 722.24101361658632, 722.51457286630819, 722.92999257782424, 728.75964762425394, 728.91021333188201, 729.10472228538663, 730.09529903602595, 731.41842165101934, 732.24334454000052, 732.28479184849277, 734.76206788197283, 736.78396316769181, 736.96258111462521, 739.09629120957732, 741.81697909447814, 742.11423634372375, 742.34822810654498, 743.53916402527057, 746.27736775689925, 746.35994216561517, 748.8036397036451, 749.61537325347319, 749.90236219753081, 751.41645648043152, 751.8052676789772, 752.1745320545366, 752.45588627100278, 753.70928352126941, 754.84336102566431, 755.3967304743237, 756.61363914327649, 757.83542480843653, 758.10229348335758, 763.38768681469185, 764.32175665175964, 764.41447440255524, 766.21100527673343, 766.62129191969905, 766.67405661103612, 767.5504552966504, 769.57302397284343, 770.3203373681979, 770.64610019176268, 774.82189179763679, 775.83662649780865, 778.66703114160498, 779.54189269022959, 779.66964365249657, 780.77130681001859, 783.11651596801232, 784.01102314952584, 786.90472883279494, 790.7345309512765, 791.62536494141898, 791.7067176154128, 791.76012064228644, 792.45996488928222, 795.13915651492584, 796.80475022274493, 796.93480994488209, 797.21514708771531, 798.34958406688486, 798.95058651544832, 800.45688611424407, 801.47151700730444, 803.13686442061271, 803.18841605639761, 803.72433450834319, 803.8866037570391, 804.01742268800353, 804.10044870443949, 806.51487905967429, 806.66522478437969, 807.19417654493282, 808.19628626533222, 809.13212155981364, 810.45196132984665, 811.44602841259109, 813.09211298176228, 815.09728680461228, 815.63374139743701, 816.2834378083769, 817.5494106981339, 818.32069877690799, 818.45843758036381, 819.78985933030128, 820.06332805543161, 820.28641611757143, 820.42262306724558, 822.1666741604829, 824.80805690957618, 826.43938135233634, 826.64710885765419, 827.29242427637996, 828.78328977276101, 829.2850321685105, 830.31788666510386, 830.34116245470921, 831.76984456106663, 831.93309534633067, 836.45781404776869, 836.82278146408703, 836.88083148025078, 838.76837672665056, 839.78911352227919, 839.8975865988948, 842.40219241139039, 844.09405260848166, 844.22208485269164, 845.02637776975439, 848.7225405255549, 848.98071490654627, 849.38012261831807, 850.29164956567661, 851.21411205015863, 852.70910583081661, 852.74614328926441, 854.30143954237474, 855.81398917705746, 858.4157409757297, 858.74187432588826, 860.45429601681087, 860.57692384970665, 861.26872511286945, 862.74578481905314, 863.7154508940805, 864.6223025412155, 866.27494252001145, 866.43080004992589, 866.80681424671207, 868.15742574520038, 868.40416652121576, 869.47156396340415, 869.55543210678638, 870.85790696709341, 871.19915595933799, 872.62498401012328, 873.0046795187551, 873.76264612745604, 876.15989560532523, 876.30902699266369, 876.68348248722305, 877.90661565913865, 880.58975272241605, 880.7433022235341, 882.6181843340147, 883.4878557243959, 884.69285720833454, 885.26302644092186, 885.41232266833663, 886.26682128230539, 886.39129911257953, 886.46295665868035, 886.53159990452605, 887.08341042396557, 887.19343767051134, 888.19531123756576, 888.50606834986127, 889.1347133836083, 889.54134777975048, 889.90463565738946, 890.06391262569423, 892.71626902856019, 893.41577176640305, 894.18862519718061, 894.54088323909809, 895.07845616433258, 896.97268808604474, 897.08268906769035, 897.68772497375051, 898.11496791068726, 898.64531080884694, 899.5410194344754, 899.9808990448621, 900.8914792184803, 902.14237862214384, 902.22080487642916, 903.52742783546694, 904.94214018329728, 905.32356498698664, 905.97422829929087, 906.86232958592097, 907.21183508918034, 907.25747710111636, 908.33108615014146, 908.78254283252613, 910.66398660587049, 911.02637591131247, 911.1414139663766, 913.04458674939622, 914.1929774945213, 914.50195380445359, 915.37611513114518, 915.60196784549476, 915.82719088590056, 916.94572666832789, 916.96858425127471, 917.44954525137871, 919.42446413845289, 919.50893966959131, 920.0092292029077, 920.23143846926939, 921.19247933934446, 922.41594629222959, 923.17183756035058, 924.67430483392843, 925.31608830270898, 926.24240189170678, 928.48533513081441, 930.21183098547749, 930.37143906529377, 930.50635596895268, 932.63983031186524, 932.69693196708579, 933.43237515032786, 934.43554199478376, 935.18585346821487, 935.45961865568461, 936.14369430006923, 936.43865040123023, 936.62798554895676, 938.82214134723824, 942.83108455206138, 942.95774327122751, 943.42305574055786, 946.19173867854636, 946.46648259258689, 946.86981103566518, 949.00835419247528, 949.3592374401029, 952.66164355309957, 954.62975073065127, 955.29463499080771, 955.54451577350221, 955.61582942333473, 957.65721678184184, 957.79370505382883, 958.11142628829282, 958.34664880322669, 960.63416459194832, 960.81895059984527, 961.80199457671256, 962.50415819648936, 964.17795441247006, 964.38394403004418, 965.97903245240502, 968.75008056680861, 969.00973499218719, 969.35529672303494, 971.10306168121031, 973.07104633060692, 973.4372920392899, 973.81531437110812, 974.05393615273556, 976.8419997773758, 977.25561746210292, 977.39104332368129, 977.95992582183544, 982.1226796691102, 982.24948498392564, 982.29495124055711, 984.19745246223567, 986.42379825503406, 986.84635669424017, 987.24095182770031, 987.85875077579817, 989.01821086523216, 989.36734583112002, 992.88914126030465, 993.7220387218249, 995.15343481200841, 995.91978083680499, 1001.8527197224494]),array([19.468323885880533, 21.080532370835705, 21.14035311854364, 24.127511856976266, 24.223130887997602, 24.407806649691743, 25.677662219681761, 25.703557268927181, 27.334254683517237, 27.369183025866761, 28.26128968642735, 28.659412705381115, 29.699940022536303, 29.893195855877551, 31.749340512993726, 33.655412524651986, 34.307287007293816, 35.483745871261434, 36.191133174666128, 36.769890248766494, 36.833983414764383, 36.937182733881897, 37.730567268381535, 37.882714613751965, 37.958199761327784, 38.169217308826362, 38.911991224021634, 40.412660187281446, 41.289673822766119, 41.922983649890192, 44.162319197630019, 45.826875617769289, 47.775744722283548, 48.283995659861965, 48.321036324724105, 50.470264475238054, 51.25356155610455, 53.874686544722493, 55.275477869609112, 55.717584687631785, 57.66345143945199, 58.003661548903516, 58.302548036261868, 58.708964517407772, 58.9033030799446, 60.949130272403991, 62.042645898685684, 62.497267556328914, 63.182819586623125, 64.430038603287727, 64.555184223089924, 66.050523934220934, 66.778958222299451, 67.84082027385692, 68.425713718219839, 69.38862586644197, 73.822783324693006, 74.382393379452893, 74.777256475433887, 76.270028887236549, 76.309884731059427, 77.317798197053904, 78.329333205025335, 78.62631570139304, 79.771185267930463, 82.937801628266115, 84.640255432698751, 85.133306173659435, 88.075071225747138, 89.550393503589859, 91.268751310986829, 92.789108818543284, 93.117580104348363, 93.550722982693671, 95.647363566452952, 97.702683310481319, 98.687763055424981, 99.99387856756104, 100.04386064994141, 100.5313674256389, 100.57351427238339, 105.62858563177963, 106.58845551434585, 106.85435814586387, 109.08143034174198, 109.59802342861033, 111.06999169196395, 111.53464508709958, 112.57671435276404, 113.01440316223839, 115.87198463898481, 116.71047950951376, 116.92542300267716, 118.7245139931899, 118.750693642852, 122.08111057232932, 123.30350436559067, 123.49695373922933, 123.81817303208283, 125.10975053244843, 125.28994664027633, 127.08848425612206, 127.33170442918664, 130.37705020925168, 130.85218208022815, 133.0595313687669, 133.89679729795452, 135.62844127924947, 136.21049792962103, 138.38110833761624, 138.58368206843136, 138.61026217548414, 139.56017074059673, 141.99997595659445, 142.3107081994375, 142.41104651313262, 143.90576329731817, 144.26683013603548, 145.72818513693559, 146.40696034728055, 149.94697183152877, 151.33558128556285, 151.78347299781754, 152.12505212364448, 153.06710613198126, 153.1581295311897, 153.21251196000998, 154.9279246086079, 155.66021285734618, 156.54476612097076, 157.4641778536718, 158.54635248940494, 161.8216073795476, 162.64224877127006, 163.87777197400084, 164.83243897698691, 165.91919035822707, 165.97959515366821, 166.31946559044641, 171.58196152319445, 173.17988442971802, 173.88454564977491, 175.5659870740229, 176.37942015925708, 176.60496369733644, 178.10984517163027, 179.65629305834364, 180.18446469587644, 180.31335751987407, 180.47003555294233, 180.84530092915378, 180.9116652896833, 181.00924246628264, 181.22284582077097, 184.40466106264824, 185.53979887683801, 186.1564216102646, 186.60353985529935, 187.72902110734458, 187.90627806606182, 187.94594171113837, 188.04937251983858, 189.12115784376408, 189.62132029717532, 190.68337755701046, 191.09849999088024, 191.15877822419378, 191.65919954023784, 192.20244747848972, 193.09122291590737, 193.92147527635726, 194.38764733070028, 195.27990003365659, 196.05542086120602, 196.28458795032287, 196.9821497027327, 199.82949342644397, 200.43651936487367, 200.96568717049513, 202.7935470265235, 203.58007398282408, 203.9679153659512, 206.28532937487964, 208.45051848444467, 208.65909786036704, 208.99351342714743, 212.65475244331338, 215.2218054791802, 216.32913116516085, 216.68283582603587, 217.91796882824553, 218.0624877946567, 218.84915977470504, 219.47980471740746, 222.18763738982142, 227.24892431637772, 228.14943237599712, 228.57863721628243, 228.65939422855627, 228.92100566172411, 229.98909445557595, 231.36456514335933, 231.78362080946536, 234.47943053046833, 235.54538292165222, 236.55391865233767, 236.89070703416581, 236.93558955005102, 237.7386632243975, 239.19749674235271, 240.55772947928159, 242.86299006809321, 243.92352819388572, 244.6116242188256, 248.66803296253832, 248.87205697974409, 249.29798083006517, 249.34299743456714, 249.84944613451941, 251.35524896674184, 251.71189550736671, 252.30230603663202, 252.34386922750645, 252.96250893454928, 253.62195888163194, 253.99400171890119, 254.25531149795648, 254.35571427197462, 255.42266102896539, 256.19084773993336, 256.76842983933807, 257.79295865581008, 257.93016973455684, 258.40912587254803, 259.31162706504819, 262.66595840724665, 262.68935625533209, 264.00239782616399, 266.3428963457261, 267.46071725988259, 267.7707665497424, 269.74959950109343, 270.01941326559154, 270.14664413710062, 270.21573021701107, 272.92734502603537, 274.18368229236432, 276.87485369572477, 277.45339673554633, 278.16479777692223, 278.25643521854835, 280.48956151160985, 280.88031069929218, 281.51664108751919, 282.07749119751122, 282.34915360852006, 282.54331462756915, 283.88902782252461, 285.59639038839623, 286.09460429501888, 286.22635330616185, 288.7358488330978, 289.57018898259798, 290.12465355098004, 290.48394551872752, 290.71357857597098, 292.01361779159464, 293.77734945169425, 295.80240368695678, 296.13709503903118, 297.01527232468851, 297.28038711616585, 297.695575880891, 297.89118698304407, 299.47054521517146, 299.57126623713003, 300.32443400236593, 301.63894606312334, 303.91032797692492, 304.84374486806792, 305.35519303153671, 306.5969661114118, 306.98549484333336, 307.7667413872183, 309.67921737776084, 309.96128008698099, 310.27674950621224, 310.54793367073393, 312.51076928857634, 312.73984497852871, 313.80276529312681, 314.22100018582785, 314.72801285796277, 316.79569127577912, 318.70579587411265, 319.7216169987629, 320.80373520510034, 320.87418217995418, 321.51115872398833, 322.65906371515143, 325.5331130336441, 326.73822104641295, 328.84450132887468, 333.19273513630378, 334.03965959384419, 335.74096981671693, 335.81318227395826, 336.65686989905345, 339.16246316122732, 340.74394850244204, 343.25917591561313, 344.48892967164653, 344.54835224956651, 345.60223929988115, 346.50202009747869, 348.15096677883093, 348.4477482374819, 349.40705369032548, 350.25662516507185, 350.94481170709406, 354.18208803437221, 354.21667025214259, 354.76737520105655, 355.18001003370762, 356.19794511978, 356.3764849620473, 356.48335596482531, 358.07989189845654, 358.91241264830137, 358.99640168319991, 359.28677498421223, 360.83816660702524, 362.7788204651203, 364.53833606435506, 365.38318069277449, 367.57071376221467, 369.68638880798949, 369.72231273785269, 370.2783291593002, 371.41737668844638, 371.47188533707896, 373.06314754523873, 373.53531723595887, 374.21287372366498, 374.8813780662793, 375.28090984471947, 376.94863286133619, 379.06117937377178, 381.90336309832657, 382.33056205190542, 382.35435612962982, 382.46714354624135, 382.83903896238064, 383.54277919744527, 384.19716047163291, 385.52928986677756, 388.76771983953734, 390.62485045035027, 391.37892917207949, 392.26283578309551, 392.4100238855462, 392.45413126297365, 392.81968614845169, 393.70969579445875, 393.86515396029085, 394.11449939976313, 395.17406663595142, 396.08658948899608, 396.24562479070477, 399.04854621476704, 399.657080418649, 399.86660114476172, 405.79306167297608, 405.84362476678086, 406.93616721846024, 408.13687665682477, 408.34892492290027, 409.43441957621445, 409.98017297864527, 411.05738459592203, 411.86987629429956, 412.85239408447859, 414.34869790814804, 414.77250883986699, 414.83587947459597, 417.57035918294434, 418.12774576408322, 418.18815714164054, 420.54847315207519, 421.6069730888313, 421.77828594987034, 422.05535554801639, 422.39592790298764, 424.65241940105466, 424.6936011808362, 425.76056131243445, 426.94062581368001, 428.13113572585758, 428.67108275352189, 431.05964762076945, 431.91575922670933, 435.09053695259189, 435.27354963048998, 435.41798341416523, 436.10957008459383, 436.87432064996113, 437.17293207076654, 440.59041179970501, 443.72391569286725, 443.80190972492727, 448.40915940366784, 450.5938406164135, 450.88954744953162, 451.57773096833296, 452.90663266008005, 454.46968361643144, 455.94937487718676, 457.43346934246915, 458.08596745837951, 458.60645545388843, 458.89033667775942, 460.09780512348902, 461.2965625105939, 462.43349245340926, 463.22073404540845, 463.28028533206862, 464.22163897221549, 464.27842598000854, 464.61811788242449, 464.76524640701217, 468.29417443782688, 469.06012974377319, 469.11795204266457, 469.21058148715161, 470.50599513518455, 472.16867026452928, 472.57894301238821, 472.75388004781138, 473.68744090219872, 474.34167407046448, 474.43927663288395, 474.79786419044416, 475.07404620777982, 476.15831590196467, 476.18360342685133, 476.72535577747379, 477.52432730617443, 478.03959645825626, 478.91929013912494, 480.99536879028858, 482.93348866047228, 483.68566624365855, 486.65809674313408, 487.8652159277944, 488.64230861055336, 492.56289984569122, 494.41814895434931, 494.45611761040357, 494.57438793433533, 494.8679900659256, 494.98518325606193, 495.54868448115042, 496.00775228560917, 496.84430478725454, 497.00906963142432, 498.57029344789458, 499.11134406124017, 500.25396532119987, 500.3624498928649, 504.36483569287992, 506.04186796256073, 507.20700824899029, 507.58210303684626, 509.55844668565987, 509.66761531681522, 512.80530250722859, 515.52477689013404, 516.3866318443354, 517.76087942721313, 517.82257825243187, 517.98867860208429, 519.40684559721956, 521.29388555084972, 521.68124449100571, 522.89845502332628, 524.15468111359939, 526.4172394174368, 528.14514475359408, 531.32501214845263, 531.63341232532673, 532.94273296003621, 533.02513855988207, 533.35719763797874, 534.53983143703306, 534.6330048303754, 535.4814417402298, 538.08066457575217, 539.34925589149452, 540.21802262468088, 541.99317734815861, 543.52422964158518, 546.40399697117971, 547.31999199219251, 549.57353217140587, 550.4884777413821, 550.99366844546728, 553.64478743970585, 554.04223502726256, 554.33495452411228, 555.11399468010393, 556.07800098983262, 557.36362232884574, 557.7042305793907, 558.5133010051137, 559.21760826266689, 560.35761689902097, 560.70632550965036, 561.55397356338722, 562.14705046369806, 562.93004304006763, 565.36653664343748, 565.51524732842779, 569.64551385536618, 570.72899483956144, 571.03059393403737, 571.37038415129234, 576.87696679112764, 577.53007149729183, 578.4899944236538, 579.83676380393194, 581.51071852967004, 584.4971727573386, 584.67495766746958, 585.83194880375333, 589.01264272287733, 590.60841148385771, 590.71458683605499, 591.29439863362381, 592.52059729202529, 592.54409106914761, 592.68863987246391, 595.77617392570266, 596.10233291872112, 597.66337739416235, 599.505972428571, 600.30789201132382, 601.56842465223815, 602.34178519312604, 604.34733967411171, 604.39446992336423, 604.41715541088433, 605.09948696966944, 605.77426864344818, 606.31775796829447, 608.45128894446884, 609.74145259069292, 610.2547559649538, 610.6828393999275, 610.71291117509031, 611.5943528486531, 613.86363156310847, 614.23911345571719, 615.33585702507048, 615.62428063837501, 616.48266461345304, 619.41437575998737, 622.247337367206, 622.3958459666519, 623.03612779709681, 624.233064283918, 630.92339997178715, 632.86532710876622, 632.98818389530641, 634.09570277455668, 634.13051139246204, 634.17043828499823, 635.69193072829182, 635.90381856253077, 636.44543972988549, 638.81760276285672, 639.10445460946164, 639.27717499100925, 639.30186782639873, 640.83866706423976, 641.56654223327473, 642.10512563995655, 643.47591103835953, 644.55197277708339, 647.06300763244383, 647.08837421531859, 647.92180861032762, 648.50303977493411, 649.0114582223938, 653.30977398344885, 653.76236549684074, 654.63672611953348, 656.13515194421836, 656.44989739280709, 656.80688773589077, 659.07894745111105, 661.43481745111228, 663.83005941131842, 664.01302898672702, 664.17279188872544, 665.27135738970583, 666.27333265622667, 667.14852893286809, 669.17409016767783, 670.48177179360869, 670.79914333778038, 670.93311208262685, 675.43018535021497, 675.99548966345799, 677.10227421657942, 677.33379150956227, 677.84825465497158, 678.65090371530607, 679.26969674971008, 679.42066977946968, 680.24150915148323, 680.39973232729824, 680.60958286919265, 681.93407862161052, 681.97002102984277, 682.40723721898871, 682.75504213252361, 682.82159882703468, 686.32165236704418, 690.3069110266963, 691.41595910346109, 691.71885129570467, 691.99257874489581, 692.09412200566555, 693.06771803479774, 695.22284987407954, 695.24917820958694, 696.04325873873597, 696.99453534358486, 698.41662529062694, 698.8114025707979, 699.11025648398015, 699.82677473234207, 700.25677937313799, 701.89002590911673, 702.95282136567494, 704.13084711600129, 706.73952440149355, 707.22946409074302, 707.46144708175871, 709.38921638145302, 711.61992724276831, 712.68133706799051, 713.16400437338712, 713.70084839585832, 715.47392603492938, 715.7699385201073, 715.79097415783235, 718.85980488661448, 723.77963896650283, 725.00465002935039, 729.59230848357276, 731.24089092967415, 731.47134288058828, 731.51364176420384, 732.37782815491971, 732.47787441974617, 732.73147652899377, 733.599552196285, 734.37854342530648, 734.51525635208748, 735.73282490234055, 736.87416944096697, 737.13191126719914, 738.4262246648301, 739.45942004683718, 740.73997681501362, 741.89775856297854, 742.11168946961197, 744.07835703053945, 744.18708506784276, 744.56373444471922, 745.97290184153485, 747.55554032220061, 749.1735571358571, 750.84952886621272, 753.49789899123675, 754.06760124653385, 754.27187335175449, 755.67457465042867, 755.96687929655047, 756.07425964786592, 756.86299283087874, 757.30670939230697, 757.54902429502772, 759.17394359335219, 760.84818817260759, 761.85759909511739, 765.21357882351913, 765.63315091826394, 766.10985962696452, 766.4400905133981, 766.57461441958969, 766.79825292402927, 769.44206721240914, 769.72373497677142, 770.01526690886249, 770.88171482811163, 771.92668847628011, 773.72599110948192, 774.33233109740775, 775.40180010574613, 776.65308912190426, 777.93406798345336, 778.02135612529923, 778.68741620832611, 780.3714874870725, 780.58553125126036, 782.77465014109282, 783.10465946981378, 785.16726839673424, 786.40655385029845, 786.56122376477913, 786.97829536055724, 787.43564907249061, 787.53981746849354, 788.47354829048891, 789.10525819346128, 790.16927354386746, 791.1473164830503, 794.03857192052442, 794.59789620870299, 796.23721985317479, 798.46973075463882, 799.88584625308624, 800.05604114125777, 801.55235225133913, 802.08612687848506, 802.20647958168468, 802.29546358751816, 804.06971853300649, 804.35006441814528, 804.74829253090684, 805.27027699692985, 806.8860747336488, 808.0200624652623, 808.83552670995175, 809.75508097687486, 810.07309068530412, 814.1090307476851, 814.54860422398542, 815.96730396947544, 816.78759282518433, 817.03700878921325, 817.72539885450647, 818.48013793089342, 819.64086179900926, 821.99772835462261, 825.6224415156762, 827.02089100612238, 827.94935264692026, 831.48626826235102, 833.12028909835703, 833.24632657577865, 833.9312358719809, 834.00705436225439, 834.95503465286993, 835.06376788841544, 835.316817820859, 836.0046894869671, 837.76330120830414, 838.06982697110379, 838.31007521575441, 839.24045708162851, 839.63625544899651, 840.71595394284691, 840.92458532240994, 841.87223429172661, 842.66770877932686, 842.86302077581115, 843.14599733875116, 844.171634729782, 845.07222511478494, 845.14166435061861, 848.32126583203285, 848.89974292599027, 850.13777290114513, 851.02711611339203, 851.75393578175431, 852.2668109459994, 852.58138941139543, 852.64434870750745, 853.41088138728765, 853.85757247519348, 854.06745306318385, 854.36259899309573, 856.43452754960742, 857.00540798595671, 857.13465982637763, 858.56734999173455, 862.06748452576892, 863.98473544503963, 865.91631156513972, 868.20633278673381, 870.10501742391637, 870.33570090668923, 870.56943127424597, 873.02767614681409, 874.20673574953184, 875.56832316575731, 876.94567084182574, 877.52502905057429, 878.52489483600732, 878.62473770204701, 878.93656750854382, 879.21866634430717, 880.39092015355504, 880.83078420527272, 880.96205870819847, 881.34599409880957, 882.91503029016212, 883.68078698096372, 884.01128103196891, 884.29102468242536, 884.58004359215454, 885.86011712604738, 886.08433979885615, 886.18194525621016, 889.53075123262477, 889.59415109191116, 891.28046907027147, 891.39073130060081, 891.97679450366422, 892.14520515250479, 892.55222867997236, 893.15924625674643, 893.34214342902521, 893.70522914688161, 894.20749766418953, 898.06002789183901, 898.13967381226269, 898.50707865220465, 899.82109662058178, 905.38192997000124, 906.05628831294268, 907.3245556246311, 909.14889735580675, 909.58259153500285, 911.06544460748842, 911.98312689492866, 912.78568299117308, 913.13620131263235, 915.66002485572437, 916.08421042716509, 917.8625748004913, 918.7045619301706, 921.29317827105842, 922.2182550001404, 923.24076809803023, 923.49775932186651, 923.73666443320815, 924.84430815298958, 925.7075907789133, 926.87993807962289, 927.6205318324287, 928.7776517315059, 928.98174355354524, 930.68208831631341, 931.07521463903936, 931.37077662205104, 932.6300697859524, 934.3132796368302, 936.74342075604136, 937.45566555586299, 937.76888874516965, 939.52345129570483, 939.84790776557384, 940.12251138023009, 941.45215738957415, 943.58790401724718, 945.53721681243542, 946.7372570939358, 947.28369415995746, 947.68995242954054, 950.47891100518825, 950.86460504062006, 956.46584451448007, 956.77203812234711, 957.15175456776137, 957.71425427536667, 957.91643761727232, 959.48467906825078, 962.06662989837719, 962.47644604133961, 962.81962746156694, 966.41805838472987, 967.49591876699594, 970.92198415034113, 971.85125270378114, 972.48737541480625, 973.38758625718526, 974.66059864990325, 974.88978755053381, 975.02142770891737, 975.2572769669614, 975.5401077338862, 976.20660837493574, 977.08852997546035, 979.29768584376734, 979.64815773292571, 980.32798328308684, 982.18338707595672, 983.03750171728393, 983.6972605147015, 984.65583389301889, 985.96218177362186, 986.21434354480152, 987.31645334500922, 987.40816498968024, 989.54246672859881, 990.01140365336073, 990.33659494183473, 993.24505530969418, 993.66829624904062, 993.68947792898325, 993.87474814328039, 995.58193218822237, 996.2707806200732, 996.34781310189931, 996.50438888073552, 996.57285705530285, 996.70596259051445, 997.08904526511856, 997.43663727437831, 999.64640408775085, 1000.2472188227318]),array([7.0663196426723918, 10.618376689900682, 10.919616897974953, 12.397326005156545, 13.689217338241809, 15.96623613339546, 18.012774344447475, 19.133108143175232, 20.12612989674227, 20.995009095418844, 22.739894078487737, 25.727309899392939, 26.399546010414831, 28.439896617925527, 30.319263327292521, 31.389154372387562, 32.409109245792173, 32.783119904189633, 33.582851520299393, 34.853216831851555, 35.788506983226235, 36.933904351924284, 38.952292242812256, 39.07233879177479, 40.076347250886151, 40.660379852296487, 43.418920336695159, 43.551841064695012, 44.024096811851209, 44.24217631286691, 44.534473446907988, 46.403178167300496, 46.83732779748761, 47.987841499384167, 48.669644624165343, 50.043970725418326, 50.444464380862392, 50.909056533641277, 55.145850994897934, 55.244916710839938, 55.576119724521803, 55.709180486659875, 55.885967889762824, 55.946509834052641, 58.535693847942866, 59.021925366199255, 63.134187432549567, 63.590773705754117, 63.780286532659716, 64.965511104917525, 65.259082980845065, 65.916448804574173, 66.549871341807943, 66.605065213538111, 67.281092774648258, 67.576417778410445, 69.710986690928152, 73.026151138603737, 73.705918375888473, 74.405473065176494, 74.440148179666494, 74.598266629351627, 75.512975712261451, 76.013182228438282, 76.480734867945898, 78.027131028615656, 78.711235358014463, 79.31309784643787, 79.998443924769475, 81.924451323480199, 82.800125951865255, 88.641378879869166, 89.135616584946831, 91.882583919693033, 92.083337637766832, 92.812672450101388, 92.941113418599514, 93.242003263610414, 93.348735130436339, 94.081852544589239, 94.368468488918694, 94.567972287832362, 97.373735317235031, 99.94630659952297, 100.04144544705127, 100.19010078589436, 100.35719848242636, 101.17428283393446, 102.48026411454117, 102.70080264627467, 103.10024252521319, 104.74303423473499, 107.75556282463725, 108.95037066095495, 110.06727820450239, 111.78185504534817, 114.02917242143685, 115.6931356700435, 116.30230079638271, 117.36512068762541, 117.85479490491569, 120.63098207255916, 121.40841951661027, 121.63720314117293, 121.71712301300106, 121.78314468301205, 121.80587971307925, 123.92524090177874, 125.18755669059748, 126.19235418428401, 127.44640743507648, 128.02462796055394, 129.46336703026853, 129.62675284116654, 129.81247575648962, 130.37103945536776, 131.87634952300436, 133.52875687966505, 133.99156841302232, 135.48117303539465, 136.65963494923531, 137.2505281732403, 137.45485261941275, 137.55514051821058, 139.88528443062208, 141.80506401549465, 143.56140155774301, 143.82176578236468, 144.93784231089978, 146.31523405551093, 147.09107211383642, 149.16225243714553, 149.26482318598508, 150.00995781894005, 151.84807355500502, 152.79021427133392, 154.94833458305681, 155.04064579490094, 156.89274439179422, 160.75656310123662, 161.0205573833552, 162.20426065053894, 163.22982042462237, 163.72603429212455, 163.84161723306934, 163.90545284695764, 165.28159812965461, 167.90637660703908, 169.50951045234049, 170.137261916254, 170.31308285150988, 171.56791820604639, 171.83615884249008, 173.70438741978387, 173.93282778985696, 174.88853169397939, 174.98583930178177, 175.40345217730587, 176.54534071214644, 177.27426663215988, 180.38647938130691, 181.31709731862369, 181.82558290959315, 183.03211054996964, 183.49743663327135, 184.44618547550212, 185.72443975151447, 186.17544904867964, 187.92688945829701, 189.00660080773304, 192.15566922873197, 195.81115709323993, 196.1690392940655, 197.26336377861594, 197.54857311399198, 197.63867975316035, 199.06265023756089, 201.08118863984657, 206.4128583830051, 206.88976898537382, 207.86375385101158, 209.08530791915845, 209.81129149066487, 210.26742970934842, 212.0140434399151, 215.57192561247871, 215.98123072329358, 216.03173694177235, 216.95989040465832, 219.30224914998945, 219.32448704792202, 219.37561964326144, 219.993142405383, 220.31133676327934, 220.54635148865728, 221.47556405586775, 222.19287954599108, 222.51397930556104, 222.8235660985905, 223.52864084737317, 226.07409558931963, 226.9184493101728, 227.52025368918729, 229.8832741349577, 230.08723773738524, 230.97619242033997, 231.28622297535532, 232.00766689491647, 232.65902567309024, 233.59993038449673, 233.82301378125865, 235.05187574334539, 238.5502312548428, 239.05002202074044, 239.44646371738244, 239.89647916704286, 240.4539500902753, 240.61761292051281, 240.79446279460728, 240.8488762911214, 240.93857498457754, 241.17667511739995, 243.24797294452901, 245.18969357575122, 245.37709486536531, 249.76110080561571, 252.1336373169307, 253.90256961520001, 254.40476876323615, 254.89774501902082, 257.41297299435917, 257.7649090644536, 258.02193051152921, 258.13418880874354, 258.67643569694599, 258.90824830769986, 259.50554843225149, 259.90270278497951, 262.89351321392735, 263.04994674226771, 264.04072334191426, 264.25173400457322, 264.40396516282152, 264.94490520127545, 265.32633480089214, 265.44125556868119, 269.20124931475783, 271.47913122256409, 272.51180134069097, 273.76804548151767, 274.44318702638259, 274.47387464191939, 274.49667889599681, 276.49627601745749, 277.00900905981757, 278.38548550541054, 280.36553541924525, 284.61170346790129, 285.45924931377749, 286.60275472253159, 286.62727909242994, 287.00667530573395, 289.42957049328345, 289.65611550966065, 293.45126850934486, 294.55138322454019, 296.79225515405051, 297.91448581786517, 297.96714122788075, 299.80256786946603, 300.41128837451714, 300.95701106305421, 301.70950140854899, 302.02451008773471, 302.45677387474814, 302.81634022791536, 302.874966511671, 303.30877771705161, 303.36994269699386, 303.60384510997852, 304.780279222079, 305.47233386867578, 305.81181692563405, 306.93666829506441, 307.13204539395565, 307.67800969729677, 312.10298761665575, 312.48069467227333, 312.54283606967243, 316.27487296523276, 316.49680759416634, 319.34938790113853, 325.37331190771249, 326.74072738506288, 326.85386381909598, 327.04994757795652, 328.29297088878735, 328.63341422775591, 328.80626441409163, 329.61317905792623, 329.72199642382401, 331.78176180451709, 332.84903347557486, 333.07449957289981, 333.25798933683774, 333.45123618256912, 335.51670809496454, 337.78881562767799, 338.58711241996002, 338.90546059351675, 339.39413098007049, 340.88636758913486, 341.3819442178546, 342.72443976563505, 343.07086237761354, 343.12750382340107, 343.15042698650194, 343.79756226637335, 344.35418989788985, 344.74982490842172, 346.25015051091657, 347.14203211389355, 347.49326551426356, 347.64023585687852, 348.49469436338541, 352.37955786196812, 353.463185757102, 353.89394262757173, 355.14406879033891, 355.23918417907475, 355.32172765830495, 355.46452997814851, 356.69632935431719, 358.26877403865404, 358.34540348791103, 359.22724557568796, 360.45247393702527, 361.2507067337944, 361.57358579317321, 361.89294152990374, 362.16240530668, 364.27151413854847, 365.69772806287938, 368.52853821960622, 369.21295913625579, 370.09704361479049, 370.34311057767479, 370.51127821224492, 370.88077070348584, 372.450137658887, 373.9390398101246, 374.73206949027173, 377.10229476996375, 378.03476098501756, 378.97536783791872, 381.57364294354409, 381.81461542714413, 383.63545740482692, 385.60003995240118, 387.05855886550648, 387.18417885892472, 388.02804850691285, 388.60708785133988, 390.59971630535784, 390.7276680523002, 392.69832090534891, 392.71901443072744, 394.15409519132061, 394.28505131933525, 395.8333774278945, 395.86320081327051, 396.9491565905297, 400.74626472851804, 402.67963269970954, 404.2826759125623, 406.71931253110824, 408.96519943002312, 409.34371229642272, 410.36961258208305, 410.4057626987198, 410.51031371187725, 410.68414411889819, 410.97216838307082, 414.27465331707202, 414.60838007492544, 415.78107521251962, 416.16326331440735, 416.84497457650576, 416.94679354247614, 417.43776245712621, 419.22086402092759, 421.1706329288611, 422.13545725773474, 422.51553886077522, 424.11893542075796, 424.34956711163005, 425.14585038566577, 426.24256352706863, 429.20456461250075, 429.62074595917016, 431.05343879286727, 431.37075604237367, 432.18801945594612, 436.18390244089375, 436.55332407891149, 445.45852743623135, 446.17297383679153, 446.35143103538456, 449.00837125691942, 450.58433821939707, 451.85543776885191, 452.20512904661547, 454.79345802690153, 454.97989916363224, 455.81035020150034, 455.83454195196856, 456.00434734997003, 456.10989728954286, 456.16415472292965, 458.22037882292926, 458.89690134609526, 459.14893769051196, 459.37179643669572, 461.01394530888854, 461.78217769392745, 462.62811174428799, 463.39272354760368, 463.79877725831761, 464.93541934402998, 465.04472824699883, 465.27268991498738, 467.60351824016743, 470.71971311771978, 471.88585977531471, 474.45865430661399, 475.06446195342568, 475.57584811749012, 475.7873669788741, 475.93969586644056, 476.91076666884254, 477.41525167270851, 477.8810243904129, 480.03113718701309, 482.51586171880956, 487.03371540535045, 487.3236113579477, 489.13066570090649, 489.93250564673542, 491.04102788540655, 491.65123859451171, 492.70366175270152, 494.11042053262594, 495.72680411381737, 496.29480393090137, 497.75829808033961, 498.1167324379241, 498.20643206804652, 500.16198097635402, 500.45125058302352, 500.50187422651231, 502.79372208976321, 502.90913078091796, 506.70989018177266, 507.39800700907369, 507.51411928328611, 509.4964432442124, 511.19525211725949, 511.83911931980572, 515.06065502351657, 516.15770931468876, 517.15203560960379, 517.40611844256364, 518.89923365762616, 520.83799017878027, 523.64402370728192, 523.95822210754056, 525.66491110749098, 526.43277722669984, 527.24240727216181, 528.09477779847646, 528.50505284873543, 530.33739066282533, 530.90406403206964, 531.76183115634569, 531.96206745029212, 532.34738724897238, 534.00272385859023, 534.83009299142293, 535.10878647509185, 536.22577514037323, 537.07573423816746, 537.86816480171569, 539.9672329722888, 540.15652715564863, 541.14876657469415, 543.63097726203421, 544.63123363904799, 545.32549906675183, 546.73549308173665, 547.1271602767689, 547.27434596848377, 547.31224302154612, 550.99706101898198, 551.43597510976554, 554.44964946732796, 554.86878517569448, 556.59453813666698, 557.9233512463195, 558.03301287886302, 560.48748106093228, 560.60722642602764, 563.16417571273973, 563.38406715349288, 568.03489468289683, 568.16073051194257, 568.27868540921281, 568.6707486907768, 569.61610416382518, 570.14655140953425, 571.32743561055156, 572.69461277814401, 573.7929877948111, 575.04721197665958, 575.70560733780951, 575.76299018602253, 577.23467369511047, 577.91141128293827, 578.2523911058878, 578.73006597865071, 579.03891241978056, 579.63673153182015, 580.27638527977956, 580.48910110295901, 580.89991846764883, 582.00153937497464, 583.48268979204784, 585.60398041984945, 587.82571821638101, 589.03725550182162, 589.91859644316185, 590.77712191143519, 594.50436507861173, 595.33163592401547, 596.47026255094738, 596.50675592082473, 596.84564690859463, 597.39015891645954, 598.34154815469799, 599.32636669899398, 599.66744611625484, 600.26326224660932, 601.94464967066983, 602.15232794353176, 602.68746520129002, 605.06110935827303, 605.18438407641338, 605.73666591209417, 606.46216165911869, 608.4538137068015, 609.31827016829709, 610.28557668012752, 611.69603000180825, 612.62223990074551, 614.43485585168708, 618.03986217425143, 620.03352962166139, 620.09866364983645, 621.83114496834253, 621.95021662261388, 622.65256730576129, 624.12643818125764, 624.95539075263196, 625.83994488577127, 626.17881223039763, 626.75821514343477, 627.01645384353571, 627.31745470342355, 629.11705633779161, 630.15685905690657, 630.53058444755152, 632.49245337747743, 632.74768459173617, 633.61832069463026, 636.55011614414627, 637.00352307447849, 637.14801515170916, 639.4614081494019, 639.92246891186051, 641.75465019748674, 641.91738654888354, 641.99075551837757, 642.10358626435527, 643.45617631424921, 643.89994944577973, 645.45427790475662, 645.58032718229015, 645.93701056574662, 646.45788238553064, 647.82618891410823, 651.49705150605848, 653.34827930161839, 654.53808903812217, 656.5182697402862, 657.521840658825, 657.9301710826411, 662.84331940890127, 662.87685044933392, 663.04927586537099, 664.27186961050211, 664.53924142559754, 665.64601887000561, 666.60204594463869, 670.13837657259137, 672.00001438765878, 675.71729761435063, 676.23892010959628, 677.26688427570718, 679.14650581757053, 679.31563964173722, 679.80830315044352, 680.25462654729677, 684.93471816493047, 686.73213719513558, 689.49154821745935, 690.25837528852173, 690.37193267937892, 691.91037556384333, 692.92667829623758, 693.18858437437348, 695.06376536182779, 698.68803077421171, 698.82394656444205, 700.75194766309016, 702.56879486299829, 705.17221456361926, 706.28226208305546, 707.10347950423363, 707.77779199058125, 709.3247328178303, 709.61274474882111, 709.85665105832834, 709.87921458331107, 711.95452773429554, 713.47938531030923, 714.25683090176699, 714.54887639073274, 715.08471485013513, 715.17175446475346, 716.43233544028249, 717.34346160738949, 717.56363199756856, 718.9311343121567, 720.16770609724995, 721.4085893984161, 721.58972421586043, 725.75299051242689, 726.53850865535719, 728.81821433979417, 729.82819376611712, 730.61285617274075, 730.63841625575947, 731.68132457734782, 732.84940908776071, 733.87351738644963, 734.19685278071358, 734.9749486455471, 736.50002632955545, 737.42743235812225, 740.34839898419682, 741.42890940027712, 741.94463958925951, 742.02430748436007, 743.01244182586879, 743.80844823664484, 743.92625326077609, 744.79825809969725, 744.84635077484108, 744.95804016900524, 746.00952695500848, 747.04072042769985, 749.09562297257639, 750.08606167586981, 750.49545968249606, 751.13193659731814, 751.91801643400811, 752.22824801651348, 752.77838112538291, 753.48308354058645, 758.68075417319801, 758.83292711506863, 761.99454491164261, 764.32963661213182, 765.89250230856067, 767.02486468246718, 767.6932210479365, 769.35026699711284, 770.0991360132648, 771.86778895388795, 772.70302283342085, 773.5735743651328, 773.81915069924435, 774.79973225702724, 774.85312198412009, 775.49435862999223, 776.30271629103004, 777.75837349076028, 777.84004544192135, 779.88191469421406, 780.76472453442523, 781.13775971979726, 781.81431195006701, 782.50550566964898, 782.54981080468644, 782.72725398859893, 783.25470931956795, 785.31725093299667, 786.59587052490565, 787.82025536292588, 787.9914579053933, 789.01469050273022, 789.20425142559588, 790.46622954576333, 790.65314008875271, 793.56371707724838, 795.635172441441, 796.04284004921703, 797.38147626299917, 799.03091433562315, 800.1788105996028, 801.42041808303486, 804.20143078164188, 805.3775041512763, 806.96085278550618, 807.17956029220727, 807.63618052001164, 808.85421792806699, 810.71862682937513, 810.87891897316501, 811.71215263841066, 812.06826184403599, 812.31170281372545, 814.85831229943642, 814.93004907687282, 815.04261440568621, 815.72632478152332, 817.21669386570386, 817.63398070574715, 818.1851025543549, 818.39738820991624, 818.9899615653859, 819.01125913718749, 820.21292416634833, 821.49265055343551, 822.94469446189578, 823.75131526616815, 823.93885754762675, 826.090223492973, 826.26344639671868, 828.00926366572583, 828.54617801955419, 836.54217765520627, 836.68244675576955, 840.66761621396313, 841.17538508483835, 841.93737773642056, 842.02916438420789, 842.12365817879856, 846.39008601777266, 846.41389487852155, 846.54797837444971, 849.62168319503473, 850.52910848201543, 851.22435637679052, 853.00635462072353, 853.59720456605908, 854.11915041927955, 854.43132174137384, 856.5620719680586, 856.83415744755587, 857.86429964113893, 857.90226829273843, 859.90018881435435, 863.03254844253024, 864.01119271053744, 864.79860293978209, 865.05521675725049, 865.17019393166413, 865.29901316537428, 868.48975056593031, 868.69577742040474, 870.44853144779495, 872.12343167698748, 873.1400297651104, 873.7910623087696, 874.31708257551009, 874.50147086082404, 874.91704247413088, 875.31275705126961, 875.82610612288295, 877.81020654405995, 878.13910621727177, 880.26724216195191, 880.96273695941898, 882.13293109230221, 882.76337809082816, 883.15126914574671, 883.81565780256096, 884.11981199751528, 884.24159109900415, 885.89857885286949, 885.99338666670678, 887.63324599357304, 887.78310218850618, 890.21337970688126, 890.40927438138658, 890.6964764586595, 891.40371724225804, 896.00750960612777, 896.85891042898265, 897.52106656699436, 897.84168350921016, 899.6937549527961, 900.28322262042673, 901.71531074698851, 905.29870416675953, 905.67924638401234, 906.84267635877575, 908.38017177465554, 908.66441384910991, 909.35968291608367, 911.56799506323387, 911.86856283348243, 912.55689138296032, 912.76679447973186, 914.43540350217165, 914.50012063849169, 914.92566230255215, 917.49758837547813, 921.29976040545228, 921.90713445815663, 922.60102507143949, 924.8092974184467, 924.95037573340608, 928.88529986293543, 929.00337448118137, 929.49726000279372, 929.57502515951774, 930.45602970123605, 931.50338537706978, 932.36272202156181, 932.53544536963818, 933.43810099658947, 937.69471659060218, 939.12833185760508, 939.40316660601616, 939.44911298945999, 939.98156485113896, 940.60539746317249, 942.75134570740681, 942.95179927175741, 942.97333830291393, 946.20814284563994, 946.45716488749042, 947.39996701733401, 948.92810595549781, 949.03463349027982, 950.80048369820634, 952.5964878120991, 953.36751011394119, 955.03145482687728, 955.70819427126048, 956.94543090637592, 957.22163958197223, 957.58230798207057, 958.10839710784535, 958.57305686014774, 958.80390438955624, 959.25003506269957, 963.25559789487147, 964.74978069134897, 966.03375659188623, 967.41757203114173, 967.47513132447568, 968.03198673692384, 969.02376684019907, 969.52177283667424, 972.14080026740442, 973.73048241475749, 974.37541799834571, 975.08994247390831, 975.71238133092993, 977.54413415465888, 978.49118143235876, 978.78577679179261, 980.69812497323096, 984.66096220701468, 985.16300013460045, 986.09493161495539, 986.3615225362837, 986.79847218747216, 987.76657547279876, 988.8891133898635, 989.28282054756937, 989.90165124126861, 989.96712982837619, 990.13560473545897, 991.02544046254843, 991.26908633230596, 991.5460130181184, 995.13342207093808, 995.92793270571815, 997.72434457300824, 997.77163476987425, 998.20323844085908, 998.66155331686855, 999.22563364560779, 1001.035247830908]),array([42.182549109039101, 42.529361544351865, 42.99846862049975, 43.943940998524816, 44.356968439961818, 44.563595411985879, 45.123641677990541, 49.664652796895318, 49.952759071941045, 50.068297122741001, 53.110379218455606, 53.427033434424779, 53.687741133715143, 57.013327504299468, 58.910285672553243, 59.5529271842992, 62.487048644070555, 62.7420482779156, 64.574045454221448, 64.823075379284703, 64.969734786864834, 67.426860352131087, 67.717790309701456, 68.991980035396267, 69.878220969088346, 71.663774815209294, 72.616436381824855, 73.171451665799594, 73.848458210086292, 74.393572569461128, 75.376305817620818, 75.587708804303773, 76.674343261493533, 77.416195951277061, 78.451625724977632, 79.167754202705197, 80.643863288510786, 83.405603244321981, 84.109098960881369, 86.395941689436938, 86.476459181141152, 87.556201532412118, 88.292759545448689, 89.171506688009558, 89.515182853052991, 90.808713561958598, 91.706045227698411, 92.757598991356218, 94.029571757167275, 94.518308980749595, 98.726471465988652, 99.11357023358498, 100.18319624843733, 100.53404252019219, 101.00570301930554, 101.02737437141604, 101.38882502931456, 101.61992565634699, 102.04555855937146, 102.46573003730316, 102.88239827576518, 103.35581276678251, 103.4250260468223, 103.63308785336496, 104.0623871313966, 107.12141012970308, 107.25696066905489, 110.29797725450314, 111.26837447061102, 112.42815380105928, 113.60852249008963, 113.70838912637811, 114.38061999709906, 114.6500507495516, 115.39116716996632, 119.24803892609835, 119.57690866125739, 121.24656883643792, 121.78407743310653, 122.32544660032436, 124.22962617663258, 124.57127511715686, 126.03148609221125, 127.25366362231944, 128.43710801486975, 129.29045912801141, 129.38061081909143, 130.69744060056618, 133.91302372742024, 137.48056591464231, 138.28005197236467, 138.77332935201116, 138.91803454612815, 138.99869759768293, 141.87873556376778, 144.1347217566547, 144.65027693283949, 146.59277498672176, 150.24512205683814, 150.32151506236823, 151.12543388635049, 151.60490941584766, 151.78022170674981, 151.84314802687325, 151.87223346083383, 152.4417221036928, 153.69306281492914, 155.2551858889305, 155.50329585699788, 156.2920592607648, 157.54809379589202, 159.35272671780083, 160.4752407247525, 161.37188231079512, 161.48795890324095, 162.13800030517407, 162.45907928489561, 162.56334333749314, 163.45172224990236, 163.49939842963985, 163.62675184231432, 165.21967877837361, 166.94872441768905, 166.98976409254078, 167.30056863231343, 167.40536339093882, 169.43553049624535, 169.68166415912964, 172.67497064016788, 172.93604391710065, 173.1078770299423, 173.84000605341612, 174.35072608133316, 175.92101447874731, 176.25888565706444, 176.49508723285345, 177.04527815953216, 177.59766997452175, 178.29258954707964, 179.47000556099317, 180.09703077026433, 180.17296700472721, 181.81387770617812, 184.15271494524023, 184.98960936040211, 185.0205271545058, 186.8245731832815, 187.61874701163063, 187.97780954448322, 188.16025880759148, 189.03853870757283, 189.82321423685667, 190.32740613917005, 192.42267941395647, 193.36750262765563, 195.54117535574309, 195.63861146666721, 198.13634652751404, 198.41516154432219, 198.60297817910168, 198.89799759629628, 200.81213063710842, 201.47044013017549, 202.13198728993862, 202.64652102998517, 202.76401706067341, 202.99207744440932, 204.66973638099097, 205.26158709571851, 206.02943894980811, 207.52492703189722, 207.72467289003382, 207.93262778893899, 208.10550330441185, 208.86495215200199, 209.90649347084513, 210.67083718257572, 211.23871759640343, 213.34074210776708, 214.0424787357712, 215.35592665980897, 217.52764979555431, 217.57383870638211, 218.87841784022945, 219.56578789354168, 219.73463410985062, 220.78001787054257, 221.06947760596944, 223.34116679745858, 223.70588630523264, 224.70549734733805, 224.89146376753564, 225.05717156630308, 228.00788858142769, 228.64411474850894, 229.16249991440651, 229.49056164454348, 229.95923683518723, 230.44651908769592, 230.92579464504897, 231.12740876204694, 231.74187108673587, 232.88364994651451, 233.39118630744451, 234.6359383774616, 236.40968016851451, 237.0322774455876, 237.14371177285588, 238.16333172376031, 238.8467881931351, 240.625844071312, 240.79868819635965, 241.54739467238659, 241.6464452765436, 241.90290910680363, 241.99215253098222, 243.64877691854983, 244.40555555351307, 247.06368908161434, 247.56354860143131, 247.82945168967774, 247.89553214471874, 248.19954130580726, 249.70655453212166, 250.28018619160954, 252.21719733365541, 254.06178539031794, 257.03684613291307, 257.39037977733648, 258.30408598655293, 258.95768731612395, 260.62475146765115, 260.69980786787613, 262.16584280375787, 264.58089993531058, 264.95327610602965, 267.06475286268568, 268.18645087419719, 268.43264530606945, 269.03843904143184, 269.57359148741961, 270.5077346718794, 273.22291212581979, 274.20826818480344, 274.39572865917575, 278.94647994747419, 279.31571569760695, 279.74979055962535, 280.51986399022832, 280.7572438823006, 282.44477215930391, 282.64220607960766, 283.61347879939348, 284.16451499121899, 284.2452706275908, 286.00388285590202, 286.65163136900759, 289.19704685749235, 289.55232279511125, 289.68711082881794, 290.56046979237846, 293.43222331276877, 293.61172060805137, 293.98906589930141, 295.35738942077074, 297.31907696598239, 298.96060408461517, 299.74100271865842, 300.1323162587131, 301.8271145904173, 302.67463339301764, 302.71292972879951, 308.06706483890451, 311.95332942747092, 312.32586817540522, 312.41164882544814, 312.88145744642776, 314.00212161058971, 314.62920121324856, 315.2408993079689, 315.84429077845948, 316.22909695641312, 316.79065672567918, 318.49928856767957, 318.7718451892805, 319.86985979196635, 322.30334625258712, 322.47588615727761, 324.2376285866381, 324.26728373463999, 324.80332848655121, 325.30059021979434, 328.29246741374652, 328.58682372625651, 331.9608845171208, 332.64836823052457, 334.27888185207559, 335.69889495823389, 336.9259327843921, 340.68529370309, 340.79361612466158, 342.29872492229453, 342.78527849600664, 344.24166907064938, 344.42803165719374, 344.91477756540957, 345.10702916182538, 345.6437478689403, 346.54143549911288, 347.54786488626047, 348.13681238905019, 348.16510420867678, 348.46824518503809, 349.33406136862084, 349.70950259659912, 350.95056257192181, 353.73508054320564, 354.55932911347207, 354.83181000891972, 355.38719931958508, 355.59736817695017, 356.33026838377401, 356.88032522116254, 357.63813183558585, 358.92373404687305, 358.98349710962401, 362.05039513544375, 362.6735791192649, 364.43192094813622, 365.03620314901985, 367.55944001867232, 369.43086644045457, 369.72324875833078, 369.81955092313268, 370.82153631634242, 372.09822652792167, 372.34000271091764, 373.9564716794884, 374.47177226573598, 374.75733397546361, 376.60568730098237, 381.40153550544937, 382.83509234092179, 385.19796147111862, 386.64394885907109, 386.68491667860275, 387.20133358210984, 387.94063243178238, 388.09031814826773, 389.07247585174247, 390.20019092448774, 392.0032731919319, 392.07963476436549, 394.57818540857483, 394.75255672859379, 394.79460222202351, 395.9072977149599, 397.28840497967656, 397.31260115901807, 397.87600472308401, 398.50233271642639, 398.70916209197395, 398.91745438189787, 400.08551240809061, 401.92478107783131, 403.4635279572276, 403.50654214285112, 406.30110295698023, 407.09747974709074, 407.29562234857696, 407.38023436571262, 407.48025404824267, 408.52630656541936, 408.67226372646758, 408.76534903175411, 410.24302535263411, 412.56915874146949, 412.67715326364294, 413.71825454458627, 415.07254669928761, 417.57015203485332, 418.60434555940498, 419.11592429390089, 420.00680427495905, 420.07616877891712, 420.58512052595916, 422.77181011519156, 422.82590584442454, 423.03825055714407, 423.7711174550214, 423.85907890515807, 424.17277382487214, 424.72523850210519, 425.32728406227892, 427.8659428387565, 427.97210558235122, 430.29607213390716, 431.02211266027064, 435.39770611011926, 435.44109946672671, 435.75164788366919, 437.96244422542588, 439.95603024621607, 441.06058770022224, 441.19457974496169, 441.79087511040564, 442.22385430639929, 443.12087596642385, 443.42705199695405, 443.69791779208293, 443.77614160191348, 444.50824347705156, 444.71257622360787, 446.0652399436251, 446.75736561592169, 446.81454590615078, 447.56836980905274, 449.66249296010534, 451.13103606103215, 453.06116268599862, 454.25043624274093, 454.36528341682492, 456.56355033384455, 458.96530645602184, 459.81974293866494, 460.102358197412, 460.29047031441269, 461.41409177835601, 462.54360727855715, 462.89775263909303, 463.21710743398052, 463.72270248048295, 465.09552448030871, 465.35697658460714, 465.48572984448236, 467.414705694541, 467.62699752975681, 468.07053555484538, 468.32986799591197, 469.02913628470765, 469.3806987334462, 471.52972382809185, 472.11621866446882, 472.96589281003753, 473.35680810011388, 473.54056353835057, 474.08344268010291, 474.355884714198, 474.43327436142812, 474.89972754456409, 476.95065330752465, 478.2101622263927, 480.11890818180945, 480.18729327178261, 480.93774190708308, 482.69805021182208, 482.79309698279479, 482.86582304435717, 483.95374020600536, 484.41157182239169, 485.4492196145323, 485.49747496268014, 489.70153587506121, 489.95351008964178, 490.4533773783898, 491.73401013795535, 492.06220821839509, 493.99347853006935, 495.28365592675732, 495.55841626694615, 503.08345311806687, 504.23730302344455, 504.34836401272202, 504.5565001790788, 506.91272396634122, 507.67482778385215, 509.9788247939386, 511.4778291912566, 513.00098019120219, 515.32037236569795, 515.90780001120061, 517.00219520956796, 517.86165351258103, 518.18290788756644, 518.81115534287176, 520.1956594209737, 520.62627587393411, 520.7184546626645, 520.74146752286924, 521.22732932022961, 521.34376470726909, 521.42397141851393, 521.78240311931961, 521.9112641420835, 522.34584381519994, 523.89484655121657, 527.9540573259402, 528.15432417455645, 528.95035776159705, 530.37320135770244, 534.69329755469084, 535.88494739856083, 535.94050806383211, 536.26020601488699, 536.49033310365166, 536.67929004759878, 537.73871063667275, 540.96915650403946, 542.7570970932295, 543.90648608499885, 544.57017610097535, 544.69530927924848, 545.21280013790783, 545.65523395349987, 546.67383952420676, 547.66069585904097, 548.18177242148829, 548.3623210957976, 551.37761255638441, 554.06949520110743, 554.30346576138356, 555.07316996603743, 555.86862097536107, 556.45225278562691, 556.82900688031373, 559.05864771379856, 564.8543685351674, 565.50719565650093, 566.01694840008486, 566.66578891569452, 567.40696527348393, 567.48496051667041, 567.93135658447909, 568.17710702214254, 568.40755670857698, 569.26770467222548, 570.19613032136454, 570.39053178471136, 570.51877447441063, 571.47802956045427, 573.57967673158817, 574.10305109785577, 575.31535785311769, 576.41328376109118, 577.70664215617262, 579.03339595262412, 580.65922208552774, 580.91386548104526, 581.31692411857, 581.40630460819807, 583.98822722751004, 584.76313281609737, 587.71438070071633, 588.01863100748835, 588.46409021928775, 588.49224483871103, 588.8107174525793, 589.21181003953234, 591.64443810321825, 592.98400322302484, 593.1282692174633, 593.3331218165572, 594.60911284676899, 595.81172558355433, 596.1617405197477, 596.47715033432053, 597.67593540440726, 599.17073421319628, 600.25741497538343, 600.70746486886071, 601.23582099758039, 601.94479582657971, 603.28903652267911, 604.88190741852588, 605.12607185043169, 605.56059331646304, 605.77636320869601, 605.9472645356642, 606.03896853518916, 606.51625931499302, 607.06713583874455, 607.12281563083741, 608.21393424080202, 608.23882711905287, 608.71934739781818, 609.58661931355221, 610.12480780251337, 610.35403712791037, 610.98093893583825, 612.31684765558282, 614.18939832834405, 614.35205534535896, 615.60975329924815, 616.48218467495485, 616.58590791333734, 617.16789300485607, 617.73069584862026, 617.93827419273498, 618.39026819047774, 619.0832130989121, 619.50281613487323, 619.65156426584372, 619.6739789076189, 620.0680222657179, 620.09302001698529, 621.54872536204505, 622.32262533238668, 623.91877004847765, 624.07376387817806, 625.10467877212682, 625.1549095539367, 627.30598116776889, 628.18920395021064, 628.66026931691556, 631.41237273238437, 634.11306174025276, 635.79541936346834, 636.15020386257186, 636.91025143571767, 637.22590595202678, 637.84507643631014, 638.25815326537918, 638.65235468471155, 639.13193697910242, 639.15665284522208, 640.38959399123075, 640.81265166318951, 641.89715508284075, 642.16552572825867, 642.72460312944702, 643.8144086778093, 644.8702693038648, 644.99402929213602, 646.31734595638125, 646.51257557309316, 646.53342556995415, 646.69995201217046, 647.21474665519941, 647.23700588880479, 648.73922648146231, 649.67572471621713, 650.01216913902692, 650.91080408131768, 651.37815199236934, 651.71302570623106, 654.63918330625074, 655.76671082171538, 657.26849310306875, 658.58696544082966, 658.95424674450589, 659.60103979956534, 659.86064817687941, 661.95431583403513, 662.06404745159182, 662.92890484743043, 663.47876649527893, 664.20157025619358, 665.29382418671503, 665.52254514519041, 666.86930392155625, 667.0987091347173, 667.23190532272463, 667.30862550951326, 667.67391516319174, 667.9376516684232, 668.16814985424332, 668.8110318372951, 668.96710682208732, 669.1574156273432, 669.75428890606713, 673.5973116882609, 674.61386436134694, 679.16605076888891, 681.39067594383334, 681.85777516706298, 681.97287237446415, 684.95762303408833, 685.18200769561304, 685.26347878491288, 686.40764231604498, 687.25983599891549, 688.29226628860692, 688.57844917959676, 690.15280485675873, 690.30550094905823, 691.41493640801889, 693.62225840952976, 696.30239005775672, 699.1683193086036, 699.20433434926849, 700.93492424003136, 701.26633758747153, 702.49833982353255, 703.79291591388403, 704.28551281614807, 704.77626850163267, 705.56002540522059, 705.6031437729398, 706.42472933116437, 707.40911084276752, 710.00792165174664, 710.51641883901311, 711.20863324159336, 711.48519392816468, 711.66538583498038, 711.96220607693249, 713.46508617000836, 716.31726491680593, 716.34652365470322, 716.76117587404121, 717.25405490429512, 717.28694204322721, 719.26862462602628, 721.3842053958748, 721.99085001679248, 724.64501811181754, 725.60391418534357, 726.07602546125167, 727.03789219484872, 727.39755540438955, 728.15575306313565, 728.95306907878501, 730.2678973856174, 730.30956775034679, 730.35284140419367, 730.67584705703916, 731.64857375171425, 732.38949090437177, 732.82871808651646, 733.76238630376156, 734.40836714739658, 736.65019970327285, 737.4095048480267, 739.05549702410394, 739.974710111543, 740.42964549841588, 741.01754716751441, 745.01730832469798, 746.36653775064281, 746.9704048261342, 748.76454706944969, 749.73871654533764, 750.38214546930158, 750.99175201517619, 753.40320775953296, 754.53156603675347, 756.7147825088224, 756.89812736560577, 758.13460811998073, 759.02265562775221, 759.89649060379327, 760.43274659068084, 760.66833076323462, 760.75274994054951, 761.50656984984164, 761.76439394621957, 763.85894790730185, 764.01477869251676, 764.0728969823208, 764.72804620171223, 765.64540604534875, 767.57334583128113, 768.33901240455373, 771.24507763595693, 771.67804587953765, 772.35065794956893, 773.40310559753095, 774.9540617232592, 775.8034365185174, 776.61943747750001, 779.93719101556064, 780.24381475077189, 781.78792765019216, 783.37315191185371, 784.0514868219318, 784.12590665163441, 785.42840697569397, 785.91527236091338, 785.95621474051916, 786.52190773198538, 786.67699156322078, 787.69364991322777, 793.96931773520441, 794.98933708458765, 798.05182007661438, 798.16376192209884, 798.29773448829303, 798.45787535477086, 798.48610300983012, 798.74685836128708, 798.81609954525345, 802.76031114392481, 802.98799446071428, 804.48130638127452, 805.77246312650971, 805.87793642928796, 806.68209245383514, 810.59374636467135, 810.7876908608016, 811.560737458105, 811.61830425667006, 812.15869507936327, 812.36265570780381, 812.6552357537895, 815.08959443747756, 815.77322490811832, 816.56419322581121, 817.93882957880373, 818.33496236141355, 820.85474167846542, 822.55859603105989, 823.82734111483489, 824.4752593541341, 828.20089970825768, 828.2651844635551, 829.50694611366293, 829.58245522122172, 831.65655891984591, 832.10019682147401, 832.39069062120666, 832.70475946530564, 834.6700420023036, 834.87697148299503, 834.93331603070851, 837.33367423492746, 841.46052027350993, 842.85562634485052, 842.89728345479318, 844.51538927835713, 846.4784126983343, 848.96700517064812, 850.1959881248323, 850.26173269314984, 852.92336741447082, 854.62766038218433, 855.16489974371041, 858.46461571441796, 858.84139630732182, 858.96433143178467, 859.23675700411729, 860.29464539489959, 860.9926782384714, 862.92959528069548, 864.18088249319567, 864.39068668188759, 864.85520985795654, 865.03298371679102, 865.58186802240607, 867.91338085595669, 869.32800914780341, 871.23852056845362, 872.05455929804782, 874.02659698747482, 875.49599144231365, 876.63700768619435, 876.71991747558798, 877.70599230352764, 877.91625447928368, 878.49061770947071, 882.33267323364328, 883.16936477221145, 883.39285564749446, 886.07440815548614, 886.30748547243059, 888.04353945392154, 888.2889100428763, 889.53148033988339, 889.69388486747118, 891.90894790895811, 892.57700054313909, 892.64925845339542, 894.06456973119487, 894.37736760030077, 895.05870758653714, 898.43411702110791, 899.69542753645089, 900.92388324711214, 904.31382570591359, 904.83584608300498, 905.07222039690907, 906.8262373769968, 907.18081885545166, 907.93325916504568, 910.96395574440976, 917.60797573676678, 918.54583927598208, 919.61497050948924, 920.91334182853177, 922.30606274616491, 932.19699244418962, 932.22129510412185, 932.96896781144699, 933.04092605572907, 934.18325698342687, 935.10241097789162, 936.07613576791573, 936.225738767856, 936.35406396852648, 936.8943726054797, 937.22772481219397, 937.55888427313459, 938.57842078400927, 939.39189824589016, 939.438490219507, 939.77719816313106, 943.30303011843955, 943.68033471287345, 944.60603640868806, 946.97282423838112, 947.60017848712005, 948.23521739729756, 948.28782910176221, 955.50168495159869, 957.5979048848269, 957.65892274014811, 957.81331608823677, 958.22822371955704, 959.76591265395143, 959.79038409294878, 960.51061137852287, 961.68613631267192, 961.95309255734901, 962.68623777358493, 964.44863456626183, 965.12557491173152, 966.10063142303829, 966.80478788853418, 967.52432340180667, 968.04130110966992, 969.01472004397544, 969.42525541695113, 970.80816318402481, 973.26750986525974, 977.20441226597984, 977.99987483591451, 979.28470012413845, 984.00217510688913, 984.4905136362413, 987.18349348192362, 989.73736323293429, 989.79793281024752, 991.01522322938979, 993.02103686031478, 994.10885750273053, 994.15380802599316, 995.45657813224523, 995.78515176787164, 997.83920594261394, 998.26661807623066, 999.76352140423523, 1000.7649902326593]),array([44.474207371958741, 46.030073932412982, 46.417888480032339, 47.388377211929964, 47.931913375115322, 48.058435226277012, 49.444591708433968, 54.596128577446301, 54.790279746450928, 55.952095782891071, 58.896849886540402, 60.505182894760047, 61.868347881712616, 61.926323620377417, 63.749893804723982, 64.52626842870778, 67.828812235291437, 67.959354204922036, 69.092379969058442, 69.981262132865382, 72.016280732320595, 72.213177898970571, 72.49513771552958, 74.899415754583359, 76.090920346058709, 78.274011911348524, 78.328866962588677, 78.350259693342238, 79.517564312695683, 79.571693995869012, 80.137641015046711, 80.554947845592594, 81.699811967186974, 83.688339796913326, 84.184134662574849, 86.076653926179915, 86.314259570857132, 91.446646849871428, 91.841706601978586, 92.030510211817131, 92.171348583632167, 93.370839393151542, 94.441090328484307, 95.69794802568218, 96.746451507312926, 96.951208622236408, 97.931091878730655, 98.957780423599402, 102.70491665050986, 103.63901260756937, 104.08206955791211, 104.67836995241686, 105.09138933483676, 107.40833391554335, 108.51855232894276, 109.03368114858398, 110.12663436525823, 111.36932805283574, 111.44588913515896, 111.90221960944081, 112.06200733129798, 112.1546542413313, 112.26224162259778, 113.21013570282481, 115.1725320350012, 117.03975304142676, 118.46085108282311, 118.75386776698889, 119.46243371206391, 120.99634749378924, 122.01699326668984, 124.05041575640347, 125.77668054148734, 127.20079131080918, 127.51174509549959, 131.32480540989238, 132.79698386677748, 133.10975485697878, 134.24110842559844, 134.74048469046102, 135.29089214594279, 136.22352293550856, 136.34520784654748, 136.71770987126396, 138.04644145023951, 142.2204181620526, 143.288261720088, 144.88838586478747, 146.08566689952883, 146.83172158830033, 148.14125171702699, 148.61408123974419, 150.70306460617584, 152.84571573109528, 153.64388527054976, 153.69547135368759, 154.35288037055682, 154.96546215446216, 155.38222438725381, 155.6565759697616, 157.19155098728001, 157.22012942611576, 157.47016886281048, 158.79517603278137, 159.56522565007015, 164.09824735127154, 165.14769788413363, 165.47346435105996, 167.13733327244378, 168.84522574444858, 170.3113030372013, 172.14555704010206, 175.48671786802745, 178.94636636423252, 181.12730504075265, 181.57568781251334, 181.95534615455142, 182.19782217748227, 182.69316495386926, 182.91920288745055, 184.88607783683554, 185.1898203584978, 188.50828506249982, 189.73621413347547, 190.42049883102467, 190.66320786075093, 190.74282647891914, 194.06892613446996, 196.37853255815864, 197.65549560843507, 197.74234223813639, 199.74934681263889, 199.9759579305404, 200.08655259521441, 200.30505446181726, 201.0542062392266, 201.50276713193881, 203.08684424970005, 203.17968364805151, 204.60323001225959, 205.87044985447972, 206.69463286736479, 206.83664978522791, 207.45845885836209, 207.74864329339144, 207.8417595062165, 209.05106843032937, 210.38346546054717, 210.42485088398749, 211.70391698906786, 212.61800892874592, 213.5551298925607, 214.61602364306469, 214.93990913647031, 217.79212145769546, 218.65055226103539, 219.03506291485431, 219.2102096514231, 219.35229496796347, 220.86763372432961, 220.90307057263072, 221.62835514092734, 223.68391125852403, 224.38444893989046, 227.46147284551208, 228.44926603987514, 229.96580227524794, 230.5061746877887, 231.83623212583655, 233.25257434751722, 234.57406561964339, 235.22462761665784, 236.0422654274185, 236.17183557011333, 236.57940603879069, 236.7195134655995, 236.76688721880922, 237.42564561452349, 241.44456863808387, 242.31014005997005, 242.8345778492266, 244.20842998062506, 245.05635632608744, 245.82683290149583, 245.93077253540045, 247.20710055205481, 247.54276088685518, 248.8444289748206, 250.59604159614804, 251.70901151084351, 252.71691662529616, 252.89661933332158, 253.3676188732781, 253.84872431858875, 253.97680871134651, 254.5609010905967, 255.49579486290554, 258.91437957908278, 260.01439967625248, 260.35973218730521, 261.27645073886691, 262.5775387914797, 263.09018889915836, 267.5838836542062, 269.37579354606839, 271.45773016606142, 271.82022905601065, 271.90273115048268, 271.93326730539877, 272.28152577287608, 274.45351082359343, 276.02579812085094, 277.30403406658917, 278.55282566723787, 280.3567636744383, 280.72548996364327, 281.10733016855193, 282.41689393194014, 284.24262520698846, 286.45423870075331, 287.70990344376503, 288.07685273950392, 289.83390861714179, 290.69969899876241, 291.93889241534526, 292.19173626961435, 292.29897503471568, 292.53494612919224, 293.84650835664257, 294.61332000133365, 294.72494432906365, 299.10537995415467, 299.64123083412068, 307.01750704164328, 307.69367072661248, 307.86784721258789, 308.03205844397968, 309.31408670047756, 309.69582369154938, 312.00508904049752, 312.22339099814752, 313.36646093880324, 314.57393520015734, 315.9944320441453, 316.69148230364385, 317.12977230742109, 317.25551991681482, 318.41435005129011, 319.0777974655004, 320.1580663347309, 320.86445159316577, 320.89695869503885, 321.01044577568297, 323.748267827532, 325.21610046565593, 328.23775220595428, 328.9109266425005, 329.75417221782419, 330.11107082179996, 330.66159035821551, 331.91368420173285, 332.49225706724343, 333.90547186375716, 335.68142500531849, 337.58132787693631, 338.02195338666201, 338.60522116831743, 338.642093084409, 339.88742667167259, 340.29574449068861, 340.93687699842724, 341.30921001632106, 341.80794183718416, 341.92071309310961, 342.59146769763549, 342.68414330773589, 342.76919574048878, 343.76827096267073, 344.43896815401655, 345.1540044186919, 345.21089315789322, 345.55454869732137, 345.79430283464751, 346.6229073911926, 347.9944619136354, 348.12166119207342, 348.65123875393539, 349.49190659042097, 352.55512140368177, 354.48073818656707, 354.60311461826325, 354.71660833254253, 355.48963295349154, 356.77033724657235, 359.03939251276012, 359.67006777167546, 360.33199029538866, 360.75747632047018, 362.62793003719815, 362.74341264233624, 363.88128558033372, 365.24442277005153, 366.69782108357759, 367.84217162347773, 368.25168617483052, 368.49030591800283, 369.54192198995821, 370.64141955799374, 372.99908838234148, 374.25716408913109, 374.81014188226982, 376.69500668673271, 377.42339227077161, 378.1587863474337, 378.5542481228984, 379.50253016602301, 381.42673006034607, 381.504594941329, 381.83760143061892, 382.28656450705154, 382.54164971274292, 382.58136845030441, 382.8660673822227, 384.31137565678262, 384.62466439618413, 384.78154604814625, 384.82609493943733, 386.55446675666241, 387.13460501392126, 387.1670048067358, 388.11017262629878, 388.38387042439558, 388.70152306510573, 388.82392966759085, 391.39964295867946, 392.42035867539767, 393.26508563538562, 395.70027662403453, 396.00838072260524, 396.16831960219065, 396.51937271571705, 396.79644693839953, 396.82707921463088, 397.36149193260559, 397.7520421483743, 399.04837445125793, 400.3177648117113, 401.37685928872867, 402.15196444744777, 402.26018713213637, 403.36038901727864, 406.79639351805179, 407.35401095376488, 407.96673957865579, 408.1427473078939, 409.98740194055205, 411.18769975249342, 411.50166558121447, 411.89077382524044, 413.30178446479721, 414.85478044797048, 417.83199479666524, 420.92910104126469, 423.30388619551559, 423.35081365204331, 423.67830734073237, 423.99563683764961, 425.35020665630151, 425.57959166250834, 425.83898936741014, 425.95229886675747, 427.0682533584079, 427.40956935405819, 427.78317730009553, 428.15520573051583, 431.3373862345656, 431.39866244110021, 434.52865419145871, 435.75315253152218, 436.03787162278115, 436.49651947921524, 436.5684292037954, 439.0104695220968, 439.64089832221617, 442.10254625521776, 442.56221784207855, 443.05636611807626, 445.20743172143739, 446.76685535160237, 447.07664026169414, 447.33160485434132, 448.57562764810768, 448.77112210757434, 450.02715797984155, 450.2659660491554, 451.21076742233646, 452.72423129823818, 456.09475634459619, 456.63690875235608, 457.74923604408804, 457.86974758472218, 459.12410493923352, 459.82724266084989, 460.08785453278881, 460.80175299744121, 460.83448864192309, 462.37902014251904, 462.45511212240547, 464.20364205928502, 466.87285140443885, 467.34530076895584, 467.8247195505603, 468.59216465669977, 469.7403145504224, 472.46253370310779, 472.92443366658114, 474.81378173073688, 476.76227591679083, 477.87078189828333, 477.99019408568233, 479.41772835727477, 479.52851434676614, 484.17710163419719, 485.10466489621103, 485.95738948287999, 486.08222454456819, 486.37910573255346, 486.7377672543501, 487.30312281447749, 487.32506395198101, 488.34936825515757, 488.65430381589402, 489.21447658568309, 489.56528506960677, 491.51286135855185, 491.64712597985636, 492.85171397180386, 493.78801773142777, 495.82325744254541, 495.85865463156824, 497.15977606645396, 497.4993419631582, 497.77391589653189, 498.44946688863217, 499.65793952686272, 499.85720539905032, 500.19253591787668, 501.19663394057346, 502.6071506020981, 504.1860620432368, 505.12719734334752, 507.17788250577911, 507.81853815324229, 508.75920303122552, 509.40143829831919, 512.18855270186032, 514.55503337626658, 515.86145096844211, 516.29723766991708, 516.91672535136138, 518.49508745439266, 518.59697107853628, 519.64799702467985, 524.20854864522039, 526.36860683509997, 526.59852965730511, 526.74460332303863, 527.2939967433249, 527.34411937398488, 527.71392734261394, 528.28376780155133, 529.71461485527004, 531.14658335547119, 531.24772686519941, 532.39397657040308, 533.00798720300941, 534.21039887210623, 534.48741542814093, 535.58119388883631, 535.61312115440546, 536.2034091433369, 536.25461677289911, 536.70048217202384, 541.9120957181749, 542.35092081146399, 544.23714465348814, 544.72656604357758, 545.05342123242383, 545.87538109273692, 547.336463993797, 547.65481985886163, 549.54959877069837, 551.16674489700108, 553.23989754966806, 554.12659046164026, 554.28620881664051, 555.12312890491489, 556.42222019621033, 557.5287607091733, 560.56084488753493, 561.10630058154231, 561.81657334546264, 562.36441343708077, 563.72231376901982, 566.01452925604792, 567.3157793614389, 569.38202580154257, 570.07289515791501, 570.74004146247512, 574.35483190168247, 575.84415016489811, 576.54870763127883, 581.66149269695734, 585.49705449552516, 586.25976934674804, 587.51561432059532, 588.38154886520124, 589.40274782109236, 589.70021203516751, 590.07673325087467, 591.12927534937103, 591.85514369352461, 593.21894199388692, 593.3517011617588, 594.10622056299906, 594.6716665115631, 600.10410189281492, 600.54923951562603, 602.98735030723185, 603.3105254970634, 609.60030367262129, 609.79034434590142, 610.53076229008138, 612.94102030461465, 614.42770031229338, 614.71448534829312, 615.75281898342473, 615.92058915086682, 617.07177238638167, 617.44552454730149, 617.73248142867692, 617.82972684622553, 617.98482917905983, 618.47717724443487, 618.73047773412327, 618.81746208165396, 619.70843148032884, 621.49042338725042, 621.90524063361886, 622.68292872171207, 626.6016991207664, 628.91919679504053, 629.89509412077302, 632.11681715970917, 632.3624369690973, 632.55814624572929, 633.08516252098593, 635.30140163814485, 635.89560050547527, 636.61309037733338, 637.26709414217487, 637.90006794197393, 638.76034671943216, 639.52872613361399, 639.63188473095693, 639.86718223405546, 642.38098038892861, 642.59405956572834, 642.68758477801759, 644.68462327919565, 645.13905823552807, 647.43600432882158, 648.23077330380499, 648.41699678160455, 650.01206150183589, 652.33894669288475, 652.43197244603527, 652.55469050692932, 656.90072444777229, 658.12871232256509, 658.4083095279052, 658.4981531268869, 659.04097763360892, 660.18692545656643, 661.53688784851499, 662.707521188736, 662.98238381664521, 663.01138254280738, 663.27727173736196, 663.71778373380937, 665.05211998547827, 665.29797365165973, 666.8302171365284, 667.64766615089491, 670.81853090904622, 671.84547160288798, 672.4983883340542, 674.14169672815729, 680.67094698717926, 681.57349178489346, 686.90602755208511, 688.10988268598521, 688.96854636848548, 690.12515223623097, 691.32774284930724, 691.80289743941046, 692.88147486215178, 693.51053693299809, 697.77639187815646, 698.13364887569355, 698.68591374081052, 702.01663485082258, 703.50701634424968, 704.54182426450598, 706.66456818971756, 706.97577800302383, 708.2387242320948, 708.86088851324325, 709.10797314026888, 710.95432752557349, 711.54431750070717, 711.71199782451913, 711.90806027997871, 713.00123889134886, 713.17896706636475, 713.35300208777664, 714.51145821989758, 714.91450260178601, 717.59321813681663, 717.98966253889284, 718.4880321543726, 720.19159520251014, 722.06487214604238, 722.85194167897009, 723.69772382098461, 723.89913528283023, 727.49415843259646, 728.1472829088251, 728.50070137907642, 728.60009123046609, 728.82219840684752, 729.10455703004914, 729.15980134336564, 729.44861384378737, 730.63852673722886, 731.44244092046199, 732.03608685423501, 732.63273680500026, 732.82484888905594, 733.57590075604435, 734.84788332628682, 735.06303181321618, 735.41582080283445, 738.52044569059774, 738.93318823890445, 739.16544291064781, 739.30160053884958, 742.38643308037786, 744.0030887265367, 745.34847949540722, 747.32179397189975, 750.77701190277014, 752.00267638216519, 753.16455866536023, 753.90802750090052, 754.41514049322029, 755.19924525726901, 757.71563113558682, 758.13996918550799, 759.53195450074884, 759.70217898654175, 761.0384174541756, 761.64368777106176, 762.68956931006846, 765.58466258175224, 766.76432889383557, 767.13326411566504, 768.70054165685224, 771.84071337206558, 773.18253909949738, 774.05199115652658, 774.69042208488338, 775.18149914385037, 776.80309259032651, 777.09296160836948, 777.99331668704883, 779.04122967256058, 779.57814698248797, 782.51314690795198, 783.41858319421635, 784.65219359608238, 784.70928936161135, 786.6515123007332, 786.71068505052199, 787.23937980792869, 789.37582100583927, 789.83245452570475, 790.83635221034649, 791.2761704530069, 791.36628287163751, 791.53662352641368, 791.58620321937258, 793.44387338086801, 793.52343080758658, 796.87587388731333, 797.99779738327425, 798.6420666689005, 805.20873845176209, 805.27217387820212, 805.56749956634326, 806.07435320994, 807.16305774082321, 807.2667291050542, 807.45008938889453, 807.48908043124391, 808.14085240464908, 809.2728006035361, 810.44995159223151, 811.49883482181758, 813.94336562087699, 815.54220238102778, 815.59838077858683, 817.36981027872878, 817.62986211731061, 818.38796837892664, 820.27887676596822, 821.09764882584318, 822.67785142751131, 824.82895881343882, 824.97693899835656, 825.45900162017085, 825.60749339800657, 826.24925411327013, 827.2211629016673, 827.48460916491365, 828.09532609559892, 829.79453556391218, 831.01556103249561, 831.90033286970322, 832.0354974921587, 832.1405721213896, 832.16078877079849, 834.26653727358837, 834.36992227255894, 835.04361840199613, 835.47385395671233, 835.69141090705205, 837.88453167189516, 838.42596450697692, 839.81573817482422, 842.87759733913595, 844.41396668908419, 844.79951962492203, 845.22224989306937, 846.31577706616224, 846.71402958042631, 846.81397674871437, 848.26677204587077, 850.66141740430032, 851.29783884192182, 852.12067951811969, 852.89871038053934, 853.89383974305701, 854.34092747267005, 857.00973042504825, 857.65219736030656, 859.02342967959783, 859.16624578549136, 859.80538886615443, 861.38023175213937, 863.11477226761099, 864.30543554875874, 865.9741374359088, 866.27567501996657, 866.88040712718953, 869.10197466018974, 870.03238755398911, 870.8312492957017, 876.7925824447434, 877.11952089430497, 878.36604493276343, 878.97436039611307, 880.52433874617452, 882.96239387953153, 883.66140784063418, 884.40603074349247, 887.40144266831521, 888.58472231741098, 888.65952699655793, 888.7769966762969, 889.28687954145948, 889.77088416244658, 890.77337764720744, 890.86166515490845, 890.90853407412123, 892.45235502644607, 893.68842673554809, 894.60595789183776, 894.80687926539633, 898.342649107493, 898.49001077551736, 900.91111781271502, 901.56614989772368, 902.13386312077819, 902.86091946139322, 903.18079848514412, 905.84576953065982, 906.32388579266728, 906.60815159832464, 906.72916720508101, 908.35310382549721, 908.5791758372502, 910.87598521346229, 912.02592604471283, 914.37735726239316, 914.45918937614795, 915.29889173104641, 915.54134546302532, 916.40611458643536, 916.63532600001599, 916.94833245055588, 917.63371989427935, 917.98575554495483, 922.48406949791547, 923.08546194726318, 923.41964857636265, 923.5098146615328, 924.12326339990614, 924.46520740773815, 925.19458273536009, 926.40349345475738, 926.84966354168307, 928.28789960338679, 929.2542433841063, 929.30098644772318, 930.78398399575644, 932.73322182369861, 933.36793377850779, 934.14506870460343, 938.06095026218793, 939.32469692413554, 940.59118962445768, 941.70931067759648, 944.37572538141694, 944.44105722353925, 944.77483388309565, 944.85254280338529, 946.16629845584623, 946.5588733040571, 947.46703971838747, 948.0452962085235, 949.04589766522713, 949.31695169128773, 952.28273345632044, 953.38189143620889, 954.23211322280724, 954.4123223746858, 954.74766134675235, 955.3143875491038, 955.84025197133053, 955.94361089681945, 957.35446613792385, 963.91389156199114, 965.67216310922447, 965.80656544466433, 966.16637464326732, 966.51813650088604, 967.87496111998757, 968.67402392474708, 968.99447775538295, 970.91815934907925, 971.05289183239063, 971.97946097107422, 972.67469466607463, 972.8073262277951, 973.67395018911498, 974.09516750179785, 975.82570571741337, 977.3375136191562, 979.88461175543171, 980.0104000507107, 980.78113692124714, 981.0099897699107, 981.45789446310005, 982.27797539537676, 982.37990000763205, 984.22892435544088, 985.393223024284, 985.81270381994852, 985.92137941571912, 986.17359378490482, 987.93036841956132, 989.26121543739737, 994.19024247300524, 994.37554852225753, 996.7405416627555, 997.68037928637227, 998.66594766038622, 998.78237382405507, 998.85721980653545, 999.60228157811298, 999.91807285736502, 1000.1613462996166]),array([46.96721349473362, 48.095849692847857, 48.564391833636058, 49.25982356828532, 49.961405392884629, 51.618112865608907, 51.859725145494401, 55.439198727157951, 59.377255756384429, 59.736135600815267, 60.774947520718975, 61.443753680553549, 64.78387768863837, 64.831342856717427, 65.087336865952054, 66.936228927210166, 67.704640010421542, 68.965409844763968, 69.365375557987363, 69.522508764160094, 71.019963891206913, 71.110937838111994, 72.000465639547031, 72.107075029974354, 73.142180025252799, 73.495373943880878, 73.836090984110939, 76.41925837648698, 76.865778470844717, 77.939593921590884, 78.483011925063167, 80.797664591539245, 81.944916502357145, 82.512842360469534, 83.24976643874902, 83.52246820353389, 83.877039502124745, 84.235068832978783, 85.178985183950914, 87.480440683091999, 87.545587358875366, 88.813855108765296, 89.364208442830261, 89.514463052183231, 89.802773398611222, 90.110715490247387, 94.282641914940953, 95.317199866287751, 95.449898231326301, 100.4590442760894, 101.47056521763794, 102.41919170316052, 102.83567957501845, 104.72975512107648, 104.7525796882808, 105.58751781188406, 105.60770853816867, 107.10185498283862, 108.37987634882197, 108.81191556821645, 109.74406193888304, 109.77342085811046, 110.49611030011907, 110.83455458509012, 113.48601024513147, 114.83705497742312, 114.92871891805572, 115.84719897600782, 116.4199785598649, 117.24119371814426, 117.71425430472932, 118.18859102098121, 119.7925460555942, 119.9122393537119, 120.93529326335616, 121.71181999909719, 122.92269438969728, 123.84464590912231, 128.55618933124802, 128.80950918347892, 131.31228738483867, 132.13853310448741, 133.61396293917994, 134.83694496672894, 137.25175474664968, 137.3869767799917, 138.60453812959864, 139.35377002394065, 139.65956707943846, 140.9238722947585, 141.40790779814654, 142.66476341044404, 143.10827794763622, 146.45124027937575, 146.67200588793449, 148.10180955665408, 148.84354921046406, 148.95309149642551, 150.33451258796347, 150.6012925251402, 152.11402555023787, 152.40587112171781, 152.60730599926976, 152.93096273088696, 154.65492315631658, 155.68518580786201, 156.82153576113831, 157.43168284181959, 159.2752084744881, 159.5170133069341, 159.59020473846178, 160.19341470727929, 162.46461887451119, 163.22763043601103, 163.44764078496777, 164.36394006749919, 165.75380029923269, 166.20751327472755, 166.48555005397196, 168.29110167191072, 168.72553559719859, 169.16925023651621, 171.05775003295776, 171.7703531775347, 173.20905462814952, 174.77648865344074, 177.88360060096252, 178.5734263079425, 179.5915094526606, 180.02896586631954, 180.39343083216826, 181.05660348151301, 182.34270275106795, 183.66780172545865, 184.66495025142609, 185.04340056193126, 185.40477577118801, 187.12621636437677, 188.89422726563009, 190.33651594802666, 191.00758446373615, 192.88252038971959, 193.22451892100207, 194.11829148200306, 196.19609115586729, 198.8991010871683, 200.38173604091426, 200.84354256418513, 201.39665718505287, 201.79942720665449, 202.88525734591255, 203.54088067213502, 204.31678069147836, 204.69273387080923, 205.18963269838676, 205.75847745742621, 208.3818682834266, 209.81429310723934, 210.44107468479726, 211.15225365385064, 212.14367835055003, 213.86359531553313, 213.93335428131815, 214.49607833379622, 218.66803638373185, 220.09834867213615, 223.62089681944011, 228.22480443337068, 228.3377057337311, 228.69596388460042, 228.73661266824462, 229.16425335318931, 229.88318287313101, 229.99688965523947, 231.31495784965625, 231.38442031012639, 232.79106501498634, 234.9963393890865, 235.16724609737022, 237.00075367819804, 237.17351818696804, 237.57927890573433, 237.88706391681603, 240.1046607177461, 241.97831967681063, 242.47673301582969, 243.16426560910554, 245.58615442116792, 245.79016758959713, 247.13846286813347, 247.47218531151435, 247.84061403423789, 249.18629221037872, 250.60948266581181, 250.7007197302255, 251.16151909642869, 251.60247406858176, 252.30343406163831, 252.57175333271994, 256.24436865625614, 256.61729328926361, 256.97921918035121, 257.38092947834355, 258.07856138457947, 258.47912038879775, 258.6198246379081, 258.80456299467733, 260.66027592483533, 260.93904098608465, 262.23467216535778, 264.81852018858535, 265.24400021143271, 265.33030891313615, 267.3645268648915, 268.18451377438464, 269.03631007082322, 269.94761728463749, 270.02494502687398, 271.04777751642717, 271.36564203404618, 272.46634959340531, 273.04368213640294, 273.28929744536561, 274.32769632967461, 276.85637527979657, 277.69041638707017, 279.75554699857571, 280.11775452732263, 280.2569625159997, 280.60611534325892, 280.93597639604741, 281.92594104589602, 281.95194693259617, 282.01604906481981, 282.25711258365936, 282.47531103725265, 285.16240757190883, 285.32861002653095, 286.30958378850829, 289.05245717651894, 290.68173380454573, 290.86238098267205, 291.67116255456807, 291.81420685164147, 292.68599195055288, 295.1101628445499, 296.4188831329601, 296.47702790255403, 300.42685988077471, 300.88524403974696, 301.54125902595877, 301.58087574913446, 302.17191940883004, 302.5964658170144, 305.84012504231663, 308.58223109493616, 309.19476807390913, 309.72479781810728, 309.8497653366187, 310.32831979400186, 311.89860090257173, 312.69869369902932, 316.14061455142075, 317.32830943093524, 317.4105040263928, 318.76554682663846, 318.8953614315397, 319.77495214856503, 320.54714631447058, 321.02365315488152, 321.36146022494262, 322.16590506486727, 322.80072521823269, 322.87181290566957, 323.36025822383129, 323.73317742041218, 323.85411316970107, 325.23097468287972, 326.24975046437942, 327.52734634950178, 328.88427877696807, 328.91757273787073, 331.12750637044581, 332.78583986392948, 332.93755894438073, 335.31668251813932, 336.39115529495183, 336.85989878749683, 338.62914560442437, 338.69824258751311, 341.05081827050367, 342.23221409541395, 343.27663333289695, 343.76271357502861, 344.52807225032905, 344.71518817475692, 345.18007621283448, 346.18486601397797, 346.56340119512453, 347.59300937890686, 350.36191808040195, 352.11952038332686, 352.79968908946285, 354.40036837138149, 354.9066803155095, 356.26290591652196, 357.93989425357097, 359.32362968044794, 359.48111137220582, 361.6529063356935, 361.87228293585014, 362.74581553332172, 367.50998210493964, 370.19285762046758, 371.43475225477437, 371.62531524029265, 373.18084545538198, 373.74805052724474, 374.01598076901962, 374.6443539905701, 375.06548167724952, 375.76994247585401, 376.19326823655337, 376.58680562071299, 378.08456521538585, 378.42350244502205, 378.66697872089082, 380.01777471998508, 380.65334267368769, 382.79537248017232, 384.44352522515356, 384.59571236718079, 384.97871259703385, 385.84806501834106, 386.2702074373554, 389.82676136553187, 390.40395916250532, 390.81996523107051, 390.97748132805071, 391.23030879352291, 391.63383752344993, 392.00664239988674, 394.69776536581645, 395.96907966810141, 396.45141284520759, 396.81146698515141, 397.72251503963611, 399.79334682955505, 400.63313327084575, 400.74477374289762, 402.2504733242842, 402.65776390514225, 404.50935177103321, 405.10898561647502, 405.4447233973487, 405.71911107251157, 407.11784411356444, 407.16724076907599, 407.34543430738677, 408.24195605020032, 408.94710937477959, 411.3012921005182, 411.3239676183548, 411.81600474099935, 415.01377594532289, 415.41496131110443, 415.52949116564014, 416.34077492566087, 418.93146809458057, 421.22876731249295, 423.40678906646212, 424.25468241331527, 425.68954888343154, 426.63343856217955, 428.36092017373164, 428.40209109764993, 430.12049937555827, 431.52048487370536, 432.22067007171779, 433.95114175554778, 438.73625612533311, 439.04511402125962, 439.40876406330102, 440.81083646187619, 441.93947456149579, 442.93899543239161, 443.62327650759426, 443.65749441579737, 444.22268164274948, 444.26299121446965, 444.69231883196824, 445.1351281608928, 446.32808962230536, 448.57993886370411, 451.17432145768078, 452.82708372658124, 453.05944416269637, 453.74979192198532, 454.00076075640078, 455.65502223990643, 457.1997034778534, 459.23917932311434, 461.09069760974711, 461.37633397197453, 464.10664827971175, 464.21878908738603, 464.83415021545966, 465.91420320924658, 466.10409251017853, 468.68692345289674, 468.85641384799584, 469.60380546906168, 469.85603953554573, 470.1935193418613, 473.47040923789751, 474.20906175236189, 476.77411509288368, 478.11859345037072, 479.5492364851558, 480.17087992415861, 480.84215875564502, 482.78774812422307, 483.47285015683428, 483.74796507719424, 484.36166668689179, 485.58239120496387, 486.11987401688941, 486.35454139911553, 486.96670689725448, 487.19937558651958, 487.71080690831349, 489.52797318238783, 490.55478577330558, 493.25776628884881, 494.21151722410042, 494.35699921910549, 495.76398817146321, 496.07682312148575, 496.31562565361884, 497.43726579516743, 497.58313202264901, 499.19192630478847, 500.2634150835861, 501.87628544538774, 502.72484930320547, 503.30339603476233, 504.06811581406714, 506.24523930544319, 506.37060391873143, 506.45197114030191, 506.60698223730998, 506.97661015121457, 510.43153620532144, 513.21032326074021, 514.26676607732736, 514.34553190823601, 514.75113705758724, 514.85450433225105, 516.29431500456883, 516.54425629651132, 517.1692028223955, 517.38335837380703, 517.86441600988758, 518.76167912349376, 519.63097389446557, 521.76852182012681, 521.92542338334408, 522.1560216657607, 522.38841465232986, 522.44576346053043, 524.31080484773304, 524.6036653800935, 525.23533047114086, 527.55857593684948, 529.23047230834777, 530.72461132533203, 531.9130024670003, 532.24531074393099, 532.82499409262766, 538.29861189883036, 538.3266959019852, 538.85401651256007, 539.73052841252115, 540.05047454408134, 541.3237788182729, 541.87910781301036, 543.09879616677154, 544.83012441861467, 545.14366254782021, 545.71152723141427, 546.07603013417599, 546.65236102493395, 546.95962794792945, 547.64201771311025, 548.3580909864661, 549.84585499025059, 550.95552204213016, 551.44214049628499, 552.50349576928306, 553.22243889114225, 553.51835106642727, 553.57510753957206, 554.14844973973243, 554.31215168479162, 554.45316656398984, 556.08953695235698, 558.47285636084848, 559.11741142329458, 559.92364560306441, 560.15617728040195, 560.2207673258207, 562.35955916049556, 562.40635269739607, 564.78043610475993, 564.97569335201285, 566.81758841675526, 568.5973128683047, 569.17040354885273, 569.52879180021989, 570.43634875008354, 570.47993433427519, 571.96335919816056, 572.79961569652085, 572.8327212219599, 574.87550217137164, 575.92473870882054, 576.56080672420057, 579.48232967014553, 580.04097683418809, 580.74533141200504, 581.79705912006978, 582.21341107104911, 584.90249591949203, 585.84488077761318, 588.49678251385535, 588.77303519944894, 589.34737707048203, 591.79604874313088, 593.52386384320607, 594.52591045465567, 596.49394021623664, 597.06335319790901, 597.42265723180344, 597.90970051650163, 598.17698735368219, 598.67783099348355, 599.175585007981, 599.61841107261557, 600.07968933894426, 600.21767863300317, 600.65325647430768, 600.74610117300085, 601.06359007449919, 602.88348773419375, 606.21725761073037, 607.5026184538342, 607.79810380405536, 608.04719870138047, 608.5762081005139, 610.29028503388224, 610.85046411379096, 611.7925170465661, 614.13249376093404, 614.49416720379349, 619.69941781561147, 620.33180941442697, 620.56649331604012, 622.44142224196605, 622.72774767309454, 622.89152766433824, 625.47124614457857, 625.89240193839964, 628.5388998331199, 628.75672452610513, 631.9530124702834, 633.07679430448479, 633.38369674535102, 633.46587676814897, 635.43967800021039, 636.14302260822012, 639.34516234073226, 639.74429200153872, 641.04982007319222, 641.79120427037685, 642.65302632727753, 642.71109024622126, 643.65188207955532, 643.85310948493543, 644.573239832583, 644.72582316595424, 645.00655670621552, 646.99926784614786, 647.18007826656174, 647.26469992944931, 647.31624014816794, 649.07596304594063, 649.66972439805818, 649.71257603166805, 649.92066569636222, 651.45927156172252, 652.29317942038915, 653.12191503030226, 654.83637893260072, 655.75110240687309, 655.91429996327088, 656.11110792491365, 656.39500397721145, 656.70283154431081, 656.77767496359684, 658.33921033478509, 659.0143973101068, 659.49323477925304, 659.97118024128667, 661.06534111676342, 661.38598325631813, 663.56550487947027, 663.60696152380137, 664.07578068681164, 664.99401235719654, 666.14446753216293, 669.6818860775943, 669.71239489123798, 670.08090071374306, 670.10753119282867, 671.15726356136713, 674.08386450520436, 674.66400385013185, 674.91799187894787, 675.61429138939877, 677.59636261699814, 683.32507806831302, 684.09491132312041, 684.39953394599354, 684.96179204154134, 687.35050228839998, 687.46876284663153, 688.76449778936808, 688.87120167676608, 690.07023194970418, 690.3630770531995, 691.34543036902528, 691.5217920994163, 693.60051518586602, 694.30383147695159, 694.39829187395321, 694.89275881729338, 696.00497209997502, 697.50448282880393, 699.80936198428481, 700.98759961821986, 701.31640347058396, 703.22094920906488, 704.63110859146775, 706.61888851746278, 707.8347226815855, 708.40966817105971, 710.86530852643602, 711.13952475847373, 711.41898827016098, 711.71413908210366, 712.24103910331348, 713.52528558777942, 714.06724682257038, 714.28718658219373, 714.38274813134365, 714.51584225864201, 714.9303030330309, 715.91934943190654, 715.9889714320426, 716.12558901655802, 717.36124068245272, 718.86222148214995, 722.35237409010472, 722.49237241101685, 723.61498352039098, 726.37566029617199, 726.8182116837537, 727.75414185540205, 729.35085306426186, 731.40617010859887, 732.60787311561398, 734.95536196074409, 735.58914540794058, 736.10426710179263, 736.89027442047313, 737.81557414942404, 738.39086153859898, 739.47890653981653, 740.02082986982475, 740.84851488495769, 741.45753716144179, 741.79527390764292, 742.36346560912364, 742.58363056889789, 747.28396806835974, 751.23093901379059, 752.58192269479343, 753.1002687334161, 754.65397570541541, 756.9909191792791, 757.57792897602064, 758.10680249109373, 758.71275927401359, 759.01162671929956, 759.82236441950795, 760.5070772733485, 761.38781694488137, 763.46968025711715, 764.57712331310745, 765.02616065247139, 765.80946029625818, 765.90057961737034, 766.21680055706759, 767.40258353922093, 768.29729699135135, 768.72650415032456, 769.56913960676241, 771.17532857958656, 771.32578407894505, 771.80128294870508, 772.67910090816667, 772.89982986704035, 773.43178497272879, 774.86575204768258, 778.10469657334909, 779.44249773178672, 779.92471826110705, 780.65913693821153, 783.08579937314062, 784.13142223645298, 784.86333385012426, 784.98935699291201, 785.34479346659884, 785.54317693541043, 785.66759297982321, 786.72254077056004, 787.17330742838317, 788.37809471415619, 789.3932603063663, 790.76771023275558, 791.89763077527891, 792.39734364868241, 793.49611445779317, 794.54671296540539, 794.88567415193552, 795.08233773154655, 795.85633870971549, 797.35738927320676, 798.88963111739201, 800.18782370390522, 801.27097492428095, 803.25464508183609, 807.91355358405735, 808.72904221279168, 810.69217251312796, 811.30503418099488, 811.79377176494097, 813.03168827053344, 813.37633524014439, 816.49904929474872, 816.94034091190031, 817.01218987451443, 818.34367501544898, 818.6178862920649, 818.97673091825243, 819.44757119198812, 820.85107292871237, 822.01839004938779, 822.12181734574528, 822.6508856166206, 824.66275870999675, 826.33818328398991, 827.54672396701756, 827.80644846711766, 828.15377951140385, 828.23117048995937, 829.22858513047277, 829.2519354448965, 829.85104053965085, 831.91004598809684, 832.59445943599906, 833.6623316130042, 833.69710489440513, 834.32126575302971, 834.83604768066004, 834.86720440668091, 834.96527030229959, 835.02818603928256, 837.44661275828435, 839.26323968994177, 839.82758046712684, 840.19189505545307, 841.92623594777695, 846.60430615697669, 847.38371998483672, 849.94164604618663, 852.38095675221223, 855.62146879198451, 857.78455672481027, 858.69979312312216, 859.47111160021723, 861.35923687584216, 861.94110307651022, 864.24156792653844, 866.26607921833204, 870.47031819406982, 872.93070982861229, 873.49296553166141, 873.67722591190307, 876.14453637264012, 876.47748828683814, 877.2494390141087, 877.54319075445392, 878.81988751452116, 880.56423116989811, 880.64879596919855, 881.05247148095884, 881.13998599120998, 882.66617872656116, 884.18148977598059, 885.10456201975671, 885.42967759237661, 885.7178376602302, 886.56270229853658, 887.05507185584918, 889.07328216181088, 889.22219727138008, 890.81266189319683, 891.81945878018655, 893.57741529291684, 894.93312933259415, 895.84478069997067, 896.71806922831252, 896.73903395788068, 898.35503868717421, 898.45163705774848, 899.57724576787894, 899.87212024303301, 900.68208099009519, 900.82003388560588, 901.43679368783205, 901.74834847767772, 902.66597275950119, 903.3797079138867, 904.36882212089688, 904.63616022639076, 905.22634918768858, 905.69483888675552, 907.79272213965669, 909.44453842101075, 909.73290181954155, 910.25951747139993, 912.88121734178344, 914.50460717748581, 915.8873045417273, 916.40034547280209, 917.76407976680764, 918.77509813873314, 920.92851322093554, 921.68534662227592, 921.86931800358047, 923.14412639635714, 923.92954120105719, 924.18587189808727, 924.52108924869208, 926.48391209308784, 926.88241169837693, 927.70887870342608, 928.51988835407883, 930.81131253212516, 931.26325390734212, 932.81575529168424, 935.30915078939029, 936.62997980800822, 938.87876732341999, 939.26897084195548, 939.34035358700635, 939.39785278875627, 943.99228616189305, 944.51868512865667, 945.36556458251243, 945.50051796684522, 946.11359355319985, 946.30203534184272, 946.60421483840912, 948.70722124557585, 949.25585700506372, 950.51095644706777, 951.54473794146224, 952.56500982410216, 953.31928859228708, 954.23174708119154, 954.61026579173506, 955.63540663450055, 955.87053168001853, 956.68214121664334, 956.99352360929322, 957.78314469141628, 958.06817136414372, 959.31802916588049, 959.35425501524708, 959.45451380546979, 959.50486391026288, 959.9847009271266, 960.16584979012725, 961.31452588985314, 962.31056034701953, 962.47957935274792, 962.91705611264706, 963.58785022182394, 964.67087890223547, 964.76848167327876, 966.23056663164652, 968.58634849417001, 969.35564008296546, 970.25940829994352, 973.26091554488039, 974.32246119939066, 974.79496192052613, 975.24895623360044, 975.8885901069616, 975.91216661050373, 978.59621150975579, 978.69345484172209, 979.26882889751835, 979.63435885279637, 980.01980957460376, 980.39762322050262, 982.77528508099408, 983.10933439126507, 984.19541464150598, 985.63166321417395, 986.36776068214908, 988.42521683047971, 988.80648017197302, 989.07124874572878, 991.4575466429477, 991.56455946706808, 992.56672132818562, 998.5204425053829, 1000.1005666105879]),array([99.619263651975061, 100.46153558315579, 101.58181953757264, 103.42700910318615, 105.55676200229662, 105.66664904204791, 107.18106105559531, 107.29611187116645, 107.71468365973224, 109.06823017057012, 109.37860522693697, 109.43935520324079, 109.67183270636997, 112.01092583056555, 112.57396143905281, 113.30002295628319, 115.55524735492926, 115.75227625817118, 117.83963304804571, 119.0123450770719, 119.67286578272574, 120.47024571356916, 121.46474944931342, 122.77800492787038, 123.11852049348491, 123.14827229689365, 123.93016393451052, 124.29968246050255, 124.68095679665049, 125.70702693599232, 129.0330659705061, 129.50587823642675, 131.73247385822893, 131.99581439446604, 132.50474195505313, 133.27468652403502, 136.20585415145243, 139.15044952213822, 139.53902718890581, 142.95925312565944, 143.06864487356762, 145.19990670317827, 146.38912528126909, 146.49639250571138, 146.58454367951387, 146.71497847367738, 149.15559713660576, 149.25056323619521, 149.50895976311185, 152.30322612530662, 155.79907265868633, 156.03493240556926, 157.50634780535722, 157.52926730126342, 157.85981209453524, 158.04664280792204, 159.46234478473673, 159.65861269402953, 160.26085548421602, 161.07750968594297, 164.99747013707707, 166.12276011446397, 166.6608905041777, 169.46430429463948, 169.58436626720001, 169.6871646147126, 170.1888264429567, 170.56717125034928, 172.88654821613198, 172.95660685678681, 174.01238099693941, 174.49468586572564, 175.4630324440879, 176.20562543842979, 177.47739669825157, 177.81371808712703, 179.2196296721884, 179.52714481012808, 179.82057026895296, 180.17372788293187, 181.84262097095171, 184.16285073294981, 186.42656298225182, 186.62003266198016, 187.06130783664437, 187.16165871905557, 189.33906348067055, 189.49114674778266, 189.79237270860071, 190.37050145536421, 190.39386539417967, 192.01917274453828, 192.39359944844057, 193.55832632689754, 195.07896017991436, 195.68920065172674, 197.84816806702489, 198.54693614605026, 198.85357111805817, 199.59948993019466, 199.64964651367075, 200.20981783337569, 200.85353334775135, 201.31434025799948, 202.96048473616122, 203.57572237598237, 204.25161606740872, 204.57631422065748, 204.60647452146668, 204.81606334800347, 206.34091716498295, 206.36156709701683, 207.80933685791146, 207.99535751940661, 209.13355126302861, 209.39113943176693, 209.42499667567662, 209.87115021604433, 210.04888457591062, 214.3130535322847, 214.66808624053428, 214.81154053092396, 218.76847318638747, 219.21249784422858, 220.22835238513369, 220.79662354930497, 222.15316545737318, 222.48965910922888, 223.6351298881556, 223.69568140194173, 224.99510032752161, 225.36003031378209, 227.56461855282939, 230.27362156684615, 231.21220413823289, 235.04305788868763, 238.81953889044365, 238.9390278412553, 239.26602523187748, 239.43986929015477, 240.85211572372361, 241.37170873435429, 242.93579920434806, 243.9773164340923, 244.08919520298477, 244.65063562648817, 245.79591504543487, 246.2773258363892, 247.08746430642037, 250.66451262643238, 253.12506010537771, 253.43771727475584, 254.6038616775086, 255.86083203556908, 257.03510392057223, 257.24085875275114, 257.99978173705591, 258.5254477538802, 258.68339394866177, 259.73626756765566, 261.2072013826571, 261.87486304520985, 263.80409400631544, 265.30604431360945, 267.96047514764979, 268.18800242558706, 269.85615048087601, 271.49453651843743, 271.73400854720245, 272.61453774517986, 273.16988205108413, 273.83408970471373, 276.30636477822139, 276.83463121723491, 278.58968930308328, 280.31132864214612, 284.77521140513369, 285.02335820758913, 285.57568563673715, 286.39309889130277, 286.8552946432826, 288.05090013272479, 289.5820721712401, 290.66779204771484, 292.50593434793473, 292.77045657924452, 296.88214817145069, 298.5488518037306, 298.87439953258223, 302.1017732218441, 302.27911104120881, 302.90173563530834, 303.11080459592853, 304.69177433148377, 305.31347931456622, 308.58379535671168, 309.50223526459769, 310.92519235673046, 311.49382607594197, 312.03316305038572, 313.29498481214222, 314.18969496325246, 315.69649975178504, 315.90803295798753, 317.66995410474982, 318.45572448817444, 318.82095418878725, 320.87528072642124, 321.14845178163836, 322.35619459806639, 322.59021246245339, 323.61350439340674, 323.83933912841593, 324.09747641302437, 324.50501511049202, 325.19112652005458, 325.25949734823234, 325.83853673343634, 325.94551300713982, 326.1886109564075, 327.71204263630534, 329.36874764099991, 332.74695758520915, 333.41302532249483, 334.82404137156243, 335.87165677493823, 336.66978604684482, 337.11577848486075, 337.76082092713261, 337.95032182885859, 338.67841235910601, 338.93932609933967, 339.19395937970449, 339.63952711516157, 339.77128541081584, 340.21912311743029, 340.27355823547293, 343.85266419332345, 344.20431181337699, 346.3115594233094, 349.16383837653871, 349.25831956756417, 350.60370393199537, 351.32560657102403, 351.68576513282375, 352.69888194324233, 353.10187751442999, 353.15654262945355, 353.74806390100025, 353.79647873080853, 353.97691232643433, 355.25110966618951, 355.71313253719103, 356.68273481456771, 360.21233819709738, 360.44500524649294, 362.0878753057201, 364.07285281511594, 364.11792447736167, 364.80671521967741, 365.78376845805087, 366.47571579762445, 367.75727930099515, 368.01468457986181, 370.13062026682155, 370.31085952666513, 370.92373304518554, 371.6369332037853, 372.73383861074456, 374.52921673058336, 375.03035313238104, 375.06756209454966, 375.62411204858103, 376.38108058264049, 376.51752400342139, 376.65555159455261, 376.97957600057765, 377.54438335334515, 377.68888472642277, 378.20208984373357, 379.5441382307734, 381.25450246644436, 381.37057404684538, 382.61207742304833, 383.42893705142905, 384.33016545617727, 385.22991670793755, 385.34716559335806, 386.60346352360034, 388.75590340655572, 390.4099730889231, 391.72338889734715, 392.83692676992672, 392.87885891892921, 394.17190893005238, 394.5559297585628, 394.9128076604153, 395.28431539527463, 398.79803063702144, 399.1966970167955, 399.44247213364565, 399.81293790129109, 400.37165155599439, 401.2363675054666, 402.14969200392886, 402.57339041191449, 404.01130981185918, 404.46113261857528, 405.95418854598017, 406.00849719420847, 408.1397110440235, 408.28440744662453, 409.07912248490703, 410.60812378382985, 411.18599798349135, 412.53961705383881, 412.91993635395187, 413.67544477911139, 414.75459315415344, 415.32134400512558, 420.9952810538623, 422.32977912335303, 423.22851538469592, 423.46232480551356, 423.5715842294307, 425.61882792041968, 429.88439233112848, 432.74261811827603, 433.39874127587825, 438.32127347187509, 438.74404520452941, 440.30683402687868, 442.48580256393677, 442.56083552483261, 445.37806152780644, 445.85722308911232, 448.92906088266852, 450.66770846201001, 452.15421954841679, 452.73612143415318, 452.93856628526203, 454.42908698710124, 455.02595264542538, 456.00956248568627, 456.44308236617059, 457.82477525043765, 459.16873882021986, 459.31598159208698, 460.22590957289083, 460.86981020464697, 461.63918737952082, 463.61511796447149, 465.55677749928424, 466.77156411115652, 467.83652465310644, 468.47907004120071, 469.19720546411708, 472.43578227498546, 473.99681078025412, 479.34540851398566, 479.44125417086053, 479.74946460573284, 480.72573446156827, 480.80444282480659, 480.92543438042054, 482.92611357937636, 484.8087545112482, 487.25729172309974, 487.5864486277278, 487.77787839917045, 488.78497153500575, 490.63057486741565, 491.50457298555921, 494.21565489075982, 495.65877038549462, 497.51564872311752, 497.55927645900579, 497.75309374222826, 498.45832369702663, 498.54495620530315, 498.61151006185901, 498.88531093098169, 500.61510941561761, 501.07877255332068, 501.45583758937568, 506.32498762950485, 506.45676591264225, 507.33170517344371, 507.79929385906604, 507.96609008655554, 508.14928551193719, 511.36090066998355, 511.66464921566779, 513.26176939351501, 513.29701690859849, 513.34680257117077, 513.92385322330631, 513.94405667221065, 514.79397482458398, 516.76802425819392, 517.46227528337158, 517.55295719728019, 517.77584673104525, 518.3344365885464, 520.12728867791679, 522.23109858741168, 522.50142384246419, 522.71930009708365, 522.90029576497841, 523.97276726996176, 524.27224744004116, 524.3473432371693, 525.0628370771866, 527.0090170672413, 527.04105209910472, 527.90553289050445, 527.97125424000251, 528.73041039662246, 529.02314953207531, 530.6594790382029, 532.08918323417947, 535.18951935484699, 536.16529120291091, 538.00145112812027, 538.68669880961704, 539.52692354763587, 539.66955989292137, 545.37221318192178, 545.50132292562182, 546.73060653142693, 548.35339892667923, 548.49515274721398, 548.75051609954699, 549.29792490425996, 550.03465891742053, 551.16663029152789, 552.00990063372865, 553.19333733368717, 553.84297122369981, 554.6398416740119, 555.23813526772142, 555.43928065631019, 555.6315501175925, 558.1192732645884, 558.99251317113999, 561.38264902285778, 561.47030241182608, 561.94726641927809, 562.54163827283605, 562.79889586614001, 562.96526256184825, 565.20288469066156, 566.81199549435303, 569.00581906342711, 569.18944725260485, 569.38081445290891, 572.86475432994678, 575.52278498235239, 576.55778734029593, 581.37254127543622, 583.46213243363286, 584.39164755699062, 584.7477001420616, 585.02959295057587, 586.81733127419056, 586.94780252494172, 586.97851057687546, 588.56330554802571, 590.73981759143271, 591.54855356335497, 591.61949398789216, 592.50175495219935, 593.18278904755516, 594.74137953723891, 595.53908004445998, 596.34398040456301, 597.93055878193002, 598.80849891565117, 602.34811742403383, 605.0475637418682, 605.10413794784381, 607.05679380770835, 609.51281111756816, 609.88038530546669, 611.18004545577912, 612.64754382742831, 612.75391259732089, 613.15438526596631, 613.24282971888283, 614.09590628295473, 615.24772093356023, 615.87300580982946, 616.28440875999684, 618.53417139442001, 621.50026361580728, 622.49663695209654, 623.18942376232076, 623.27996140545929, 626.17634092814444, 627.37178694936074, 627.44688902746816, 628.08089940952834, 628.75211111459384, 631.37541566121263, 631.42353908440202, 631.9456921706734, 633.22234519334256, 634.61664556179687, 634.66985593651316, 638.25565429797382, 640.02162158672957, 642.01535097717135, 644.15220694534253, 646.38449944216291, 646.42194389822157, 648.07361379656982, 648.37019725712253, 649.8186229107846, 649.97368238924912, 650.64430516913285, 650.75124166141325, 650.77810208786934, 650.96600026251474, 653.33570385161568, 653.51783022185498, 653.83409134416252, 654.08530426255618, 656.8769594460075, 658.35405729308764, 659.0171000412048, 659.95676480806492, 660.62023289805484, 661.31407185045339, 661.53648993793809, 662.18246690670094, 662.33752598785179, 663.4254000172383, 663.87744862575471, 664.79093649065237, 666.9525829632579, 667.31220719875762, 668.0304339872597, 669.6796646375941, 669.89534356979289, 671.91139000564783, 673.42951335057023, 673.69767599229624, 674.0343194965418, 676.0667102124562, 676.10662756455019, 678.65298425139326, 681.61843707761534, 682.77099661255716, 683.04733238292931, 684.04748731148004, 684.83422327539381, 685.56881523980815, 685.58916487333306, 686.008311042777, 687.16313497004921, 687.87364870173974, 687.95681660307503, 688.72576219057828, 689.05225117610144, 689.46238169985395, 690.97120852699004, 692.13635517693467, 692.57531742574815, 692.6749024430801, 693.58141175674757, 694.62795324786612, 697.0621692695421, 698.23074163653439, 698.3380260450067, 701.22253450028518, 701.55747751710658, 702.63509593785363, 707.95335247820367, 708.174688390342, 708.7521221945243, 709.1643197037306, 709.93347634902966, 711.60179254500508, 712.09428760576111, 712.72644087413084, 713.33277831590135, 713.81635271982407, 714.14358090334349, 714.24978625922029, 714.33945714219794, 715.12424845433577, 717.63358305314853, 718.51543163583597, 718.73329897696578, 720.22721102084904, 720.62229850103802, 721.27978079058414, 723.59959573642504, 723.94280668265151, 724.35301228758533, 724.97258497244331, 726.71465149381561, 726.74999526374131, 732.44469156615742, 734.01838233525518, 735.4559025731628, 737.85680353834334, 740.260661613975, 740.92798873842457, 741.91699877051269, 742.15605052978572, 742.76014597426069, 745.19110015129411, 745.70044682984735, 746.64847624959202, 747.66774337993957, 748.77489716461969, 750.37029148814713, 750.91460506502119, 752.29008127008296, 752.54988574078311, 752.88451476504258, 752.90732693940424, 754.74850429240405, 755.49331772876735, 755.80639016103589, 756.67650508583915, 757.33935743355437, 757.55711933740315, 759.30969101986966, 761.16295223768202, 763.17600329887841, 763.69589085294319, 764.34055602634908, 764.7221052885775, 766.47877701872005, 769.1073254171813, 772.66825318940323, 774.28989831144531, 774.42666218283023, 774.83153292904615, 775.4296740402076, 776.64004936843776, 778.19028336022393, 778.44353986724957, 778.66092801139416, 779.9834433854063, 781.83263941475741, 781.94413506948922, 782.25149644482917, 782.29532139723926, 782.4440332128745, 782.74367471641904, 784.69311788249252, 785.1400943110641, 785.80277081145834, 787.41914393344041, 788.23761471305909, 788.35371434976503, 790.35087092569745, 791.87066312809952, 792.88185196120276, 794.20196998940321, 795.54231685332331, 796.42212605714542, 798.87084493609461, 798.94869138143179, 798.98313105560283, 799.50646946142126, 799.5432910249524, 802.03610256284821, 802.3252632910262, 802.58570784216693, 802.8771780778535, 803.38531812831616, 806.23180832522166, 806.28870754533978, 809.28666482845597, 809.56760518022793, 809.8444607718709, 811.05967333045885, 812.33689226362708, 812.54989884256315, 814.68892157518667, 815.53148281388474, 816.14803245566691, 816.83941403300514, 816.97316917807643, 818.16439401211392, 819.21649662993923, 820.01094127357464, 820.30001468699345, 821.96103139329489, 822.38743682974427, 824.70244103183302, 826.38686375190912, 826.65998354110968, 827.03520934394635, 827.49387210369912, 828.20851643718856, 828.23843100243835, 832.62955925267352, 834.1862798444464, 836.53587902619608, 836.59608695602958, 837.49793252156837, 840.41326729034563, 843.79880801982654, 845.74143057952222, 846.64364557561657, 846.6663175745897, 847.12000642416535, 847.62758256709242, 847.67308480899544, 850.03227914427168, 850.65771137251193, 850.7277060663796, 852.01118799518815, 852.19026357044595, 852.21651668626475, 852.67598812182064, 853.44471901817997, 854.51183607184191, 855.30624211020711, 855.34914989104311, 855.79629384288205, 856.13095345848706, 856.19957447303636, 856.27909817253635, 856.67419145296446, 859.03411378762587, 859.61787543000037, 860.73035921134442, 861.27343927810068, 861.34754268232246, 861.38832747476067, 861.65389265878309, 861.77802043710039, 864.14045120950027, 864.76349589048425, 864.80091983938416, 865.32843681353722, 865.75223485269976, 866.94888436900817, 867.12569116860243, 868.75976380296549, 868.86035551161967, 870.83693395130797, 871.66847706094836, 872.48665906233202, 873.37360622086533, 877.87119312644245, 878.96907334903005, 879.89056870809384, 881.64310208514939, 883.21936877846383, 883.37462747079451, 884.90312466830937, 888.20770124084947, 888.37437372559191, 888.42253048888119, 888.99030670065838, 890.09947208621452, 890.16940114978252, 890.34204233947264, 890.55265103845454, 890.77697231050377, 893.29570080797362, 893.95833213694493, 896.88329143883425, 897.57654959216211, 898.64827961720709, 899.27636284308926, 900.12993038775426, 900.21389630678914, 900.59613541629631, 902.51599332590069, 902.81657228703625, 903.5978857080936, 903.65241089408642, 906.2821312435874, 907.52403595134115, 908.86816975483191, 909.64992736927013, 912.72440224569743, 913.19146086355352, 913.38901037003143, 913.92202347432305, 914.77187047659709, 915.42823201620683, 915.5418121878007, 915.66478375849954, 916.11503508300791, 917.095873403062, 918.63240227185054, 919.96900374103984, 920.01185085433576, 920.72033583350139, 920.79742264597041, 920.82525072011367, 922.24125257526021, 922.43453020376467, 922.49424166268466, 922.51631707942863, 925.40355602780051, 925.47838719260926, 925.56565421990001, 925.75472666304438, 926.22268450798776, 926.76034892859343, 926.91177637479905, 926.94504779872545, 927.75531368298539, 928.01337764387722, 928.6667932602063, 929.68049561884538, 930.95907546401725, 933.74420869749281, 936.46841582912225, 939.46332350039529, 939.58570567758568, 939.73556145002544, 939.77641985291257, 940.34976487045071, 940.52043631092681, 942.75802226337123, 944.36340549429133, 945.94684474662574, 946.0981142447082, 950.18418474873442, 951.30088649474021, 954.02581863928594, 955.0717878870521, 955.57184556060781, 956.65442253608057, 957.12041610551353, 957.30515481875841, 958.45078214506145, 959.32656790279293, 960.92662946755081, 961.67916978779817, 961.86761512250052, 961.88929402303052, 962.65229176841888, 963.17469916397931, 963.78607234310755, 965.13473684082101, 965.19421552508322, 966.36562808881524, 966.67647095684413, 966.85375180958431, 968.40970400002959, 969.00702595730991, 969.43324106830187, 970.26906171212613, 970.86369975329353, 973.81799735600976, 976.19909550411649, 978.48755365011323, 978.55290514574506, 979.20204090240361, 982.63166633032745, 982.90634607970037, 984.33087296876033, 986.75971385312187, 986.81860736747899, 986.94308072495323, 988.24859805589892, 990.39316619484907, 990.48996596307688, 992.00518099407179, 993.52072543385839, 997.18970299349121, 997.99513197959777, 998.69224928846143, 1000.3218545698139]),array([80.765511192961071, 82.794526995607228, 83.26720073744616, 83.692337526352958, 85.901984085555782, 86.94022080811952, 88.824711660721519, 88.95515705756921, 90.79411322001107, 93.176443197529025, 94.825749125572671, 95.093921060484988, 95.725723852211217, 97.035782117754948, 97.071231326436333, 97.866979611119461, 98.078339488407551, 98.682368387880643, 99.204708351845767, 99.74307299027177, 101.17287487486743, 101.20764402474995, 102.38540369559455, 104.03397060990672, 105.75541228737183, 107.24489297974164, 108.0056101923212, 108.20427969901856, 108.28263086658916, 108.77559720643069, 110.04092655437867, 110.30149689925517, 111.88166200314721, 114.27082361689136, 115.31944651288856, 115.84598357116474, 117.37754483697059, 118.75504073280567, 121.5142230101721, 122.0362608578058, 122.35407635230222, 124.94570770767051, 124.96883539097907, 125.74340457024182, 126.93023654714534, 128.41191055268331, 129.01269457890868, 129.74329154839782, 131.3183313689124, 131.39225077678822, 132.545065431447, 133.33361374267272, 133.47928793124643, 134.61197562365874, 134.97389193523907, 135.8173987292846, 139.06562928354299, 139.23047860887723, 139.43267892415048, 141.92057623996863, 142.16443420182856, 142.26775022838953, 143.78060744252915, 144.33670950291335, 144.45366733547814, 146.00394398711279, 148.21065035491256, 148.77063445839528, 148.79857164532473, 149.50337937014405, 150.09080911670054, 150.11360899258619, 150.28830365514193, 152.2258661712917, 152.60156725975403, 155.44696840406283, 155.82661979803817, 158.03540868440021, 158.9806004749253, 159.9600552521978, 160.05678212986521, 160.39610820553727, 160.8023851544869, 161.12647325648794, 163.66655967333693, 164.95794213189978, 165.36548560801424, 166.30549425581839, 166.66786202061721, 167.06289532966863, 167.10907719024274, 167.27194589805589, 168.27906915690556, 168.51400864678718, 168.83936106865573, 168.97947180177917, 169.56067487443116, 171.93181147996685, 173.67747247223446, 174.16340467874303, 174.48540803826504, 175.24573950038942, 176.08077836700906, 178.59159412818636, 178.80846076708244, 179.13361759686964, 179.87552635321563, 180.93288830930462, 181.02162509028625, 182.47455548453598, 183.57543891963542, 183.88172793437627, 184.19579389322445, 185.1722780014432, 185.69853012632171, 185.79767071505958, 186.52467290732554, 186.66635817254883, 186.92379732293708, 187.23664504301752, 188.2622660811935, 188.47547332949782, 188.92356461733692, 190.82216186340921, 194.59437010804362, 196.49016167602255, 198.4240401037118, 201.07814459954369, 201.56329110090309, 203.14422600534135, 203.30844083097099, 203.98894793659508, 204.89717251245057, 205.38122990580041, 207.09212952862572, 207.42621484361078, 207.77625591972583, 208.26095566182113, 208.43305414428542, 208.72882273110616, 209.04299190265388, 209.0917534413463, 209.17090006037222, 209.28319926369531, 210.3107626137419, 211.51248641164028, 212.52741060855658, 212.84228748381315, 214.84948831941847, 215.4656010331133, 217.25136196175947, 218.2466152652685, 219.58161585129534, 219.61918210616247, 221.40387440215477, 221.85173221308057, 223.76371846786537, 225.87787039789046, 226.48766063915227, 227.03123928807955, 229.60494382868927, 230.03057734535315, 231.14624659409873, 231.74037233479228, 235.33557808967873, 239.5772405808892, 241.54549239956282, 242.61494368879133, 243.5591997068702, 244.33142619434764, 244.69345840593084, 246.24314364398185, 246.48303486060334, 247.82037235054159, 249.02199912637457, 249.49457839236149, 251.04270073634945, 251.18967816236074, 251.45739697765174, 251.73848636302191, 252.69596917109664, 253.13069760773212, 253.73941156765403, 254.38022725195265, 254.85242286074762, 255.69504976745014, 256.11091359578967, 257.15775530360582, 257.7736517345391, 258.70061593355621, 258.88845133509346, 259.03209836818684, 259.54697766771545, 260.09156970639839, 260.709889851188, 261.02639769217387, 262.27710796024797, 263.84683903923963, 264.28605748149175, 265.59352735419844, 266.7644583650756, 268.70096648638065, 271.97483174705968, 272.10342227185009, 272.12589274952427, 273.3004831415177, 273.75356519820127, 273.97291036771315, 274.24802469619334, 275.24180960103052, 276.14692975520757, 276.39702196711829, 278.90076962195383, 279.35744844983441, 280.39475987006591, 281.97513278118896, 282.33514829898968, 283.85656491076759, 286.56735391013365, 286.70545366596031, 287.35809841475213, 287.69636691403201, 288.18127880850312, 288.5770367671953, 289.39364972053681, 291.07862586109826, 291.47109636040159, 291.82253223033797, 291.8630449495933, 291.91399529248878, 292.10763589224268, 292.43808757547589, 292.56028503628676, 292.6913844486786, 293.47840967843206, 294.15409904676596, 294.64560607152447, 296.78558951943165, 301.35361748331087, 302.53084793635162, 303.36932927691822, 304.62609112314976, 304.89320558989573, 305.3829365246292, 305.92860748899079, 306.80448642703732, 308.29325025999867, 314.07671316548652, 314.37913617708983, 314.62578554482997, 314.92060379674678, 315.8287103624412, 316.92703126584951, 317.18729852959729, 318.49914463438535, 321.01648258232052, 322.46528204735517, 322.50787720404105, 322.95093471742672, 324.4125180184065, 325.0659867141141, 325.33862013160399, 325.74630958053251, 327.53656453052537, 328.23610552690099, 328.67453575344922, 328.91894306318977, 331.69483734550272, 333.0573475655458, 334.00494477459529, 334.53076550113121, 334.93445088338433, 335.16507635264026, 335.9136020011652, 337.765853105058, 338.84719700625845, 339.63955938643846, 339.89507373671017, 340.73522266659273, 341.65499718027104, 342.69427951162584, 343.05587948156051, 344.96866352775515, 345.04544541780763, 346.02764472836844, 348.10678484956497, 349.56889774965498, 351.52455101336176, 351.75095989448243, 352.26136874490516, 353.50800751172972, 353.88128496223817, 356.00010849389224, 356.82933690202765, 357.7328032784402, 357.86798212491709, 358.90697141349358, 360.20412805345308, 361.96730503314529, 364.07291762716937, 364.89454911506004, 365.74259665706802, 365.77855060408933, 367.2729806463426, 368.58887352415775, 368.98892712284891, 369.28100104728861, 369.47365930138784, 369.83523352485537, 371.10006815428511, 371.145018079902, 371.18014846395283, 372.40638122148749, 373.58134991618959, 374.0827568047589, 375.35506325372069, 376.06311819467419, 378.66318261330582, 379.18719258170472, 379.73082303975696, 380.51023878492515, 380.71441633859195, 380.75875288907258, 381.95690876035565, 385.9754899676239, 386.42065000077906, 386.59885156857064, 387.05801755794806, 389.58379059674667, 390.10732354724684, 392.474105214617, 392.51029619256116, 393.34534608130178, 393.81399717494639, 394.0440992938062, 395.15554930988304, 396.93249879771213, 397.36372011294338, 397.4253780930124, 398.2222370629496, 399.1487473695924, 402.16194846612882, 403.86640832178568, 404.14479980167908, 404.18783414556947, 405.80514468766722, 405.9680299153132, 407.42747847131989, 408.86831971294873, 409.36497747331993, 409.51919060110833, 410.29135294566231, 410.36296950902499, 410.62580764468686, 411.05727476697592, 411.20710458656504, 412.25632754388243, 415.06071757732593, 416.56365387936671, 417.70541597504831, 418.18733268537471, 419.40652327340831, 420.66261858737766, 422.16007651576581, 422.41215228556956, 422.5451013599278, 422.91579000939583, 424.11509424539406, 425.30656914795088, 425.51812073670038, 427.05660679777577, 427.82115609920351, 428.22612265616732, 429.22040401112764, 429.73080739123958, 429.78674234183757, 430.03870943594768, 430.65640216865552, 437.18144969431853, 439.51415066521935, 439.83380164520179, 440.05054670755004, 441.01159350171014, 441.46118999143505, 441.48760772717725, 442.94447943678637, 444.06428133453454, 444.17711538516215, 445.35616113803673, 446.89126445275849, 447.41586095475549, 450.81255567098412, 451.78819743735272, 452.6464771992413, 453.72051967321659, 454.00495888704449, 456.79192502493345, 458.29488009580922, 459.25425197390757, 459.74248063567279, 460.05740409529056, 460.39989417205152, 461.82265527405872, 461.93094564674402, 462.1220269073242, 464.51624359522964, 465.30506497046906, 466.25796086202814, 467.5748266371678, 467.91378695975624, 467.95790450614584, 470.0716876864247, 470.71097510715288, 471.46652368558756, 472.31213512661492, 472.97385329786329, 473.15616711236271, 473.84772839630807, 474.10938864524235, 475.36147214157188, 476.4077152150918, 476.97584129078723, 478.89395914409295, 479.17247409400102, 480.92342854259618, 481.54302745256524, 482.35393914298527, 483.53808143743646, 484.23292793295076, 485.15025850933745, 486.14157963792127, 487.20274674913964, 491.62963960780735, 493.18484683362493, 493.21600898596608, 493.72697832847814, 493.99320903254682, 494.34830575346058, 494.58058682554883, 495.37087294040094, 495.85156649821897, 496.63665106321724, 496.90816771262354, 497.80462402905874, 498.14440106182934, 500.8962506933936, 502.57163973749817, 502.69125381313086, 503.42901131179661, 503.6481712565232, 505.0889788557094, 505.42664248205034, 507.96627547295799, 510.57780781674131, 510.75762427410365, 513.11654315184796, 514.42594928720519, 514.79068095991454, 515.25841016348068, 515.52783827741541, 516.09627797798396, 516.32890959000497, 516.99373091982113, 517.69933513833553, 518.35206498301363, 520.42930466546795, 520.97123667048004, 521.10106625845049, 521.66726553454271, 522.87071062342943, 523.41497972225898, 524.38625278979202, 525.56286566500728, 526.128308132857, 526.30877108580626, 527.0912635649471, 527.26994799462034, 529.02064744519203, 529.19782340350741, 529.24273809891463, 529.46429460925765, 530.17076554902394, 530.21342265190367, 530.30135824419006, 532.07326164615426, 532.80933964421661, 533.82785848845879, 534.9901565514009, 535.88630764133427, 536.46492117264916, 537.60795766746787, 537.65246299734201, 537.97614453750782, 541.04298359056884, 541.56390195446568, 541.79225519620275, 542.03865964701572, 544.50785285560937, 545.17585771366089, 546.58368335640341, 547.86822027464871, 550.2050166042759, 550.66590259412965, 551.09187081261121, 553.39877038611792, 554.12418547414381, 554.94521052623486, 556.07282881546996, 556.17863066099028, 556.20357100151682, 556.50689273182843, 557.25176929145243, 559.33829744569766, 563.3886217484021, 563.73101509687297, 565.28233878290553, 565.53347230946724, 568.44971421627497, 568.58750957773862, 569.65641253433728, 570.39526664900484, 573.31204774965659, 573.3602051765904, 576.57797948791108, 576.81955803541234, 579.07190625924613, 579.62978133961383, 581.26053596734391, 583.83112643126594, 584.68045292695865, 585.41227721371115, 586.57294731473633, 587.82222647909828, 588.13152121171811, 589.80582003096117, 590.23935928856986, 591.14334425405195, 591.21599650674909, 592.28140300204745, 594.84121660755193, 594.98162293890334, 595.52590351760625, 596.77535075724518, 597.58607813205776, 597.7615495106495, 599.10911037042797, 600.62233489095854, 600.89225196277459, 601.25772823357033, 601.90766003889678, 601.99773331996755, 602.06843125836156, 602.38473834540878, 602.46285859370164, 603.22095506451171, 603.7349864376165, 604.07249634711809, 605.2138919643802, 606.59837326551997, 607.48941617162677, 607.64650451751879, 608.99380499426593, 609.11201731102472, 609.62691292796194, 611.22097527660299, 611.61434827929361, 613.49398126631354, 614.01553750391929, 615.76699455600397, 618.00592860361166, 619.88508649576875, 620.25113521696801, 621.2177646806872, 621.44181328856541, 622.33042166366363, 623.2542496425998, 623.7900420592764, 624.13538251027069, 630.47243141212198, 633.41194764370516, 634.29486997054903, 635.61775838660867, 636.30438055909065, 637.44918285863844, 638.12690896206266, 638.65164863738084, 638.75090830225747, 639.62422164948532, 640.24230633523223, 641.21168611745361, 642.07009833194354, 642.23381679534509, 642.34730809050529, 642.44693500275741, 643.06879982286182, 643.49651126138463, 645.62843066684115, 647.33878225937633, 647.88765291442326, 648.24370199122552, 648.32932645486562, 648.36950927996918, 649.61096974791644, 650.73988476535078, 651.04031593732964, 651.3092012678427, 651.91295760229889, 652.68827246687727, 654.06853337403197, 654.61046872255019, 657.84388892948346, 658.76827745928335, 661.02522870256553, 661.47546285424721, 663.47510932402827, 665.18446157356038, 665.65451836378304, 666.0331559449171, 668.13851523754374, 668.69913749264583, 668.75623908930015, 668.87731571336121, 670.06950777108864, 670.65556112836043, 671.42327153782219, 672.94574929916382, 675.07305080745994, 675.09811458575871, 675.98050639147039, 677.49538359797793, 682.30884048606163, 682.72032690072433, 682.93727278436506, 684.91336722677136, 685.64653223766254, 688.33634337680883, 689.3419846741815, 689.76967961673927, 690.73735232917386, 691.7497699503715, 694.24380576979422, 695.28125692988681, 696.86839592152455, 697.83979617940588, 699.16407299836681, 699.80199091279633, 700.45356877302686, 700.68803934447726, 701.03329050165428, 702.52357387186794, 703.15338829399639, 705.34327565417539, 705.37288465273616, 705.53138941016687, 707.05322040220278, 707.86708581278174, 708.13885631997459, 708.60664909784487, 708.96699077485255, 709.97046027925865, 713.81692088119974, 713.92307056073309, 715.19229412090408, 715.37115680183217, 715.66182235703354, 716.20852978026176, 717.95781318393381, 718.03092082290254, 719.29079836517928, 720.27953746892877, 724.55480276101719, 725.0347119560314, 725.24296859935112, 725.36138484836306, 725.58713628270289, 725.74081770553539, 727.85454846169478, 728.31632150771986, 728.43048918044565, 729.81186801290073, 731.90103126848589, 732.87564553371828, 733.00770733888771, 733.42080823974868, 736.44964410070008, 737.87212809751031, 738.04013831576231, 738.43702975735096, 739.66521453868165, 740.46028252289477, 741.73579931194843, 744.78308157456138, 747.28239890367706, 748.80240789237553, 749.18651398457655, 749.95690488049479, 750.12177108694345, 751.06855444998496, 751.43761281427305, 752.12113205575235, 752.37783117752656, 753.29724470709709, 753.83116562460816, 754.02162347145884, 755.00502483782532, 755.42407813824923, 757.458790663885, 757.52803625617537, 757.94115204265756, 759.68700503480625, 761.56961653885662, 762.65410028825602, 763.43278121796709, 763.48252083191517, 764.13349383369314, 764.26227409349769, 766.03186235410271, 766.72611495805097, 767.62164905988698, 767.83487953877045, 768.54010572002835, 769.46950970650562, 769.52089315695991, 770.01355367496205, 770.38490974918341, 771.16620572598958, 772.28370393076489, 773.4642843326759, 773.50149240574569, 774.05579615257898, 778.09394069306995, 780.47176228962621, 780.49681539418043, 780.92193124537062, 781.36215937060695, 781.93369068547793, 783.51814353695977, 786.21353851306139, 787.71344761532737, 788.33190895782593, 788.48094921057464, 789.51407283636536, 789.71948685876862, 789.92224091202752, 790.03577228928475, 790.59650920930585, 791.03242512215468, 791.37308015960832, 791.4150904349267, 792.05190566600618, 794.36856074411446, 797.67709521188453, 798.46431185919471, 800.32754081164148, 801.76867049607051, 802.5568236818126, 805.0052033126359, 806.18300851499907, 806.54246021107872, 806.81783654897936, 806.90190117500458, 806.9375011681658, 810.18893257050297, 813.29933521107853, 813.47406621745392, 814.4006261632602, 815.12915753130858, 815.67464295565628, 815.82434997927066, 817.13726118439445, 817.35324089637754, 818.13466690170321, 818.20093439512141, 820.44934307213896, 820.88814283527529, 821.79752347406247, 827.28609982325122, 827.53109608765158, 827.74336737547947, 828.39609153408003, 829.73971676544204, 830.26034866320617, 830.95311012389834, 831.77519920791394, 833.46631353360556, 833.53146468759826, 834.90004247561785, 835.0292728866666, 835.62303747525959, 836.98181250607445, 837.1737161699773, 837.43660341934492, 840.3787118847622, 840.421355674182, 840.984714397326, 842.3865996734105, 844.73074161981708, 846.38236585538118, 847.52975062133601, 848.26181104868658, 848.63196732175277, 850.88598616231661, 851.016428897526, 851.11330963134594, 852.23355518845699, 857.83024814737234, 858.18720798125503, 861.63426284270111, 861.88706555317799, 862.03929751478302, 862.26624706712312, 864.84415789504146, 868.14545698096219, 869.30420038203306, 869.61209403429916, 870.30933714184505, 870.8714985773139, 872.07929454832959, 872.19005780322891, 873.25029446931626, 874.74391835255119, 876.89544862066089, 877.69200872305203, 881.51735096180357, 882.05617802832796, 885.8962927581739, 886.59674132797318, 887.47262704298612, 888.78095865491809, 892.72304387233953, 893.88244036182266, 897.38412128407163, 897.91506135549901, 898.11126249616132, 898.15603187134752, 899.21796295734828, 901.15614502487972, 901.98503940509806, 904.04114447216079, 904.21653251102248, 906.19857046930667, 906.92936322965204, 908.82077332828771, 909.25309482094349, 909.48759322559147, 909.78218046358802, 910.368525676952, 912.72457913137725, 912.81527438885087, 913.03035647609784, 913.08596918131502, 913.21932083918853, 914.59301451688771, 914.95920642855106, 915.98781540386494, 916.10072879346399, 919.43823800255632, 919.70976684165282, 919.73797608523194, 921.36150013859208, 923.76338243330065, 926.0033050816312, 926.67877845709495, 928.07815270400397, 930.58105205127004, 931.61927605112805, 932.16014672582901, 932.20779697935291, 932.42464077699617, 933.01545139585949, 934.90790660561413, 935.44906515726996, 935.64967539918257, 937.79900836180695, 937.85546567437029, 938.30071985632605, 938.49171624132941, 938.92730308679302, 939.89410785498853, 940.33381608670572, 940.57561464724608, 940.63095389908426, 942.48206246687857, 943.67009134274133, 944.06416221497011, 944.39787974727301, 944.47730532547246, 946.46422629132076, 946.88667158082148, 949.64351533123011, 949.93041807520967, 951.62554543128658, 952.16138223520807, 952.59161869144691, 953.93811081686408, 955.8216313478606, 956.63160683933086, 957.51697736152869, 957.75972612976204, 959.60199351768881, 960.38871695925297, 963.81068596899036, 965.56993972796556, 966.5218655401535, 968.31366356951378, 970.62041172725549, 972.8344327511727, 973.50325348735453, 973.53931070667329, 974.78116003760499, 975.91723097508111, 976.46133645388602, 976.5287221575627, 978.29104958922