Phase response theory in sparsely + strongly connected inhibitory NNs (Tikidji-Hamburyan et al 2019)

 Download zip file   Auto-launch 
Help downloading and running models
Accession:239177

Reference:
1 . Tikidji-Hamburyan RA, Leonik CA, Canavier CC (2019) Phase response theory explains cluster formation in sparsely but strongly connected inhibitory neural networks and effects of jitter due to sparse connectivity. J Neurophysiol 121:1125-1142 [PubMed]
Citations  Citation Browser
Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network;
Brain Region(s)/Organism:
Cell Type(s): Abstract single compartment conductance based cell;
Channel(s):
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON; Python;
Model Concept(s):
Implementer(s): Tikidji-Hamburyan, Ruben [ruben.tikidji.hamburyan at gmail.com] ;
/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=[(0,15.2941239102),(1,61.6145575299),(2,10.9719462129),(3,16.6911220793),(4,91.4778405012),(5,86.034263633),(6,41.5709220577),(7,32.5413478866),(8,6.38340131238),(9,54.2797050026),(10,35.2414216465),(11,89.4798421234),(12,71.1294224408),(13,41.2978700956),(14,21.6020004186),(15,43.5913431013),(16,18.0734418453),(17,46.0161834332),(18,63.1771269996),(19,96.73811744),(20,11.6384749677),(21,65.6608231316),(22,68.7706870852),(23,27.9048097535),(24,93.7837924607),(25,30.8980878581),(26,15.8456772284),(27,40.521399423),(28,80.6598051187),(29,16.1528207636),(30,88.7501872827),(31,28.784106335),(32,88.8118543674),(33,26.1421885197),(34,79.1785539266),(35,17.5955956478),(36,89.3759982797),(37,3.85308369261),(38,26.8424835327),(39,40.1311980516),(40,40.9564046341),(41,29.0349823624),(42,79.3604240955),(43,5.63183090139),(44,18.7393571262),(45,59.8240702123),(46,53.5515742669),(47,54.2910922394),(48,65.0326394662),(49,98.8785873646),(50,56.3982709672),(51,98.272325407),(52,8.39926746945),(53,7.03449664428),(54,50.8891518357),(55,83.702207592),(56,34.7341837017),(57,75.3375463105),(58,75.8737529269),(59,25.9228281037),(60,19.540638778),(61,36.6493248307),(62,96.2068437391),(63,36.7900065885),(64,39.8674724893),(65,83.7418531792),(66,49.8156267562),(67,66.9037896687),(68,29.1704983807),(69,67.8036649526),(70,31.3314232768),(71,5.85844083532),(72,87.3625217888),(73,11.4215411629),(74,7.68397449355),(75,37.9587829899),(76,99.6855642654),(77,87.553794408),(78,68.1949445879),(79,17.0875352585),(80,54.6087242889),(81,29.8064479522),(82,59.824003458),(83,72.4818060331),(84,43.8452160376),(85,19.142826651),(86,52.6851122785),(87,9.64013707576),(88,28.4270910256),(89,75.6137575553),(90,77.5376919334),(91,22.3205140674),(92,14.9580765575),(93,50.4140407931),(94,65.6803666782),(95,59.9978429969),(96,35.662636955),(97,33.7425084912),(98,89.0676508193),(99,4.05489224056),(100,24.9376627238),(101,1.86286810856),(102,3.79038477482),(103,31.8226840032),(104,43.7816825835),(105,73.5296728991),(106,81.1622873964),(107,6.96829640667),(108,25.732587723),(109,70.9221571939),(110,99.1094926065),(111,60.8886145807),(112,24.8211191388),(113,72.8355791773),(114,45.1986554967),(115,17.7662626078),(116,54.8061534635),(117,21.3065900015),(118,84.2907032265),(119,88.6279974057),(120,29.2020140035),(121,69.5982023211),(122,68.9009414719),(123,32.187726919),(124,20.3232146902),(125,1.66492148279),(126,46.0945889822),(127,69.9312006109),(128,31.9045915116),(129,11.8930441694),(130,45.4001364069),(131,30.9249800387),(132,41.4566171964),(133,91.184533629),(134,63.2049497727),(135,31.1766569051),(136,22.2658691752),(137,50.2623018798),(138,81.2087049227),(139,70.8658086261),(140,57.9683835577),(141,47.1283467293),(142,40.5871656453),(143,46.0349361407),(144,41.6680111086),(145,33.8362049792),(146,47.5851481382),(147,64.304474508),(148,54.0326183875),(149,46.2499723529),(150,13.4674641279),(151,49.3914863223),(152,95.9080309135),(153,85.7150592966),(154,14.5448590999),(155,53.8935912165),(156,30.0091017906),(157,16.8359030944),(158,45.6377323287),(159,18.6334971514),(160,30.635619939),(161,69.7442102701),(162,69.7982374588),(163,4.19608900767),(164,30.3722642167),(165,80.159284699),(166,76.8418735184),(167,47.8873801815),(168,52.7011148657),(169,20.230394688),(170,24.4777666223),(171,14.5145634927),(172,21.0073356676),(173,91.4359140269),(174,50.9939496325),(175,12.7277159951),(176,67.7134021515),(177,35.8657159192),(178,25.6873669953),(179,28.3151454316),(180,29.0099801076),(181,4.66570695267),(182,43.7436925681),(183,43.4262307077),(184,32.6471045385),(185,54.2140774559),(186,2.71009338474),(187,73.588953837),(188,14.8189738548),(189,60.3972057801),(190,3.50020076301),(191,34.3718091263),(192,89.344173622),(193,76.1606471397),(194,69.1155578691),(195,81.911378119),(196,39.0307985142),(197,57.0784645302),(198,83.0205041221),(199,90.7025179276),(200,75.3136200582),(201,66.0097022285),(202,29.4453464194),(203,7.90464605828),(204,0.93400281406),(205,77.2098116023),(206,52.0384662517),(207,30.9373547935),(208,72.2982952692),(209,7.41541673063),(210,3.66564976734),(211,42.0848634117),(212,65.9812901268),(213,22.9973550557),(214,32.4538642089),(215,9.75661602379),(216,46.850902992),(217,18.7003846427),(218,35.1245506573),(219,55.6526547962),(220,85.0618612427),(221,38.6650952255),(222,16.5325560928),(223,66.6960242252),(224,44.1185114894),(225,60.5188045599),(226,44.8505292289),(227,1.0923137698),(228,76.164341113),(229,95.1586518807),(230,1.75168578185),(231,93.2595960178),(232,27.1286752118),(233,91.7986000574),(234,42.2755768071),(235,47.384049092),(236,36.9434824202),(237,32.9584095591),(238,76.0324251465),(239,7.21461784171),(240,74.7150495748),(241,37.4736506275),(242,40.5136187728),(243,43.3937283793),(244,63.7016458185),(245,91.742918265),(246,91.5737235702),(247,17.5949017545),(248,61.8486068901),(249,41.9417626467),(250,48.7452295651),(251,4.49642914561),(252,46.6100188204),(253,19.8369524416),(254,36.4012988823),(255,43.8028807035),(256,93.1573559612),(257,33.758839412),(258,53.5760027983),(259,15.9783793689),(260,82.2715009511),(261,80.1808552239),(262,13.2180748747),(263,13.0113772975),(264,84.5257092967),(265,83.5400073193),(266,45.0962550652),(267,92.7543587508),(268,89.145615733),(269,26.9118089453),(270,89.0764633158),(271,84.1349766341),(272,5.18819750545),(273,85.2649909171),(274,69.8093538721),(275,15.2326592047),(276,55.0977081763),(277,64.1070432832),(278,29.284887877),(279,6.35602985051),(280,29.7659864828),(281,70.276465619),(282,71.3985994541),(283,28.7031057431),(284,76.038838786),(285,32.3571810716),(286,26.5393272953),(287,56.6636362973),(288,93.7786971006),(289,11.2200377883),(290,60.9919018192),(291,45.5853005742),(292,48.9210230916),(293,78.8593594796),(294,86.3499186453),(295,61.0320518733),(296,50.4175532513),(297,57.6548217999),(298,47.110838137),(299,85.7827381275),(300,27.5367909952),(301,86.8590884067),(302,25.2265441357),(303,70.7838342341),(304,31.8894704757),(305,48.2542048058),(306,24.1001968079),(307,23.334297436),(308,0.331076343933),(309,19.96806362),(310,1.92482323609),(311,30.2696114761),(312,16.0581723905),(313,30.0854343532),(314,2.05216419587),(315,17.1123894783),(316,11.2159669855),(317,1.54144222718),(318,0.291709389297),(319,44.4220620069),(320,4.81026442286),(321,34.4759894713),(322,92.9109756349),(323,88.5683354578),(324,67.6060906305),(325,19.9513086545),(326,43.3423159942),(327,85.1063401115),(328,43.6759305347),(329,38.1645352929),(330,57.7877399877),(331,63.3342437113),(332,87.7059308417),(333,53.0656977558),(334,50.9029657357),(335,99.4800783876),(336,12.4561775526),(337,93.4884957507),(338,46.1498521369),(339,69.2735183882),(340,75.5907324016),(341,63.5976809277),(342,54.8193939441),(343,93.7875314285),(344,27.0533881341),(345,93.0047813631),(346,37.077250016),(347,89.7194581566),(348,38.1665694896),(349,21.4748977298),(350,88.7579396768),(351,28.9460138398),(352,26.7303869777),(353,67.5665561204),(354,20.6066637034),(355,94.5425379436),(356,45.9220279802),(357,4.9191993033),(358,4.28921146505),(359,72.9252062995),(360,85.3862231358),(361,75.734204099),(362,60.368466093),(363,24.0311227666),(364,67.0631015914),(365,91.9018628753),(366,79.7735274124),(367,74.5002914994),(368,10.1536124129),(369,96.2994709807),(370,96.7878937807),(371,29.7745260035),(372,58.1357281902),(373,91.2692067946),(374,53.6510234559),(375,36.9746909505),(376,9.04056555),(377,52.6487801443),(378,50.7986235865),(379,11.8905944726),(380,10.7457426522),(381,74.8706541535),(382,77.7846258671),(383,73.556779511),(384,33.3071084018),(385,46.5293865182),(386,63.7520395568),(387,27.3325839414),(388,89.0191930612),(389,46.2968283876),(390,29.3862526308),(391,42.531562355),(392,50.6010315608),(393,25.7822844257),(394,42.5220403828),(395,23.2909778008),(396,38.8685629419),(397,72.587483004),(398,3.25075771635),(399,95.407321402),(400,31.7205871714),(401,91.5073275604),(402,35.993409303),(403,15.4985568774),(404,91.5889188264),(405,97.3280707951),(406,42.2837985726),(407,87.4818365173),(408,8.8685182966),(409,2.28200183726),(410,63.3705287774),(411,84.2186092945),(412,15.1572016337),(413,37.2655508505),(414,64.1745017409),(415,17.2692749787),(416,93.5583160099),(417,31.0736016242),(418,68.3758578432),(419,39.7886706738),(420,71.7361464775),(421,31.9118943346),(422,38.2016501149),(423,26.5133311414),(424,41.0156559848),(425,3.60083647585),(426,75.6156346062),(427,89.6655669412),(428,61.7568988028),(429,45.0185464007),(430,9.18878138938),(431,23.1104863334),(432,28.0413825233),(433,93.7270387357),(434,74.2915170208),(435,44.184483501),(436,54.5025879469),(437,39.1273535677),(438,71.3208007957),(439,40.4025860597),(440,65.1325383708),(441,55.961596617),(442,81.1378912616),(443,8.69533880843),(444,10.2945232385),(445,88.8483445042),(446,85.244569957),(447,96.1600378204),(448,35.8572609326),(449,62.4712793016),(450,19.9012169592),(451,95.2843391074),(452,31.5462692609),(453,33.4705886645),(454,60.6525239144),(455,64.792771011),(456,76.5158959956),(457,72.4862123716),(458,70.9827635264),(459,89.2632203919),(460,2.9360114568),(461,83.0291459463),(462,97.7274808476),(463,36.2118695936),(464,69.1561650438),(465,36.4540118462),(466,53.0769397023),(467,3.24421082451),(468,5.67734632848),(469,24.6932139141),(470,17.2419904443),(471,47.2008314769),(472,65.5710533976),(473,40.314620081),(474,45.1507585728),(475,57.7418188608),(476,79.4881766469),(477,9.79706572321),(478,20.9105348403),(479,91.3580048134),(480,44.1699858536),(481,56.9604247606),(482,60.2424116112),(483,11.8158260504),(484,3.38988239808),(485,19.9547784692),(486,40.3181044229),(487,92.6787342279),(488,24.4510629691),(489,60.0540984985),(490,64.6866496073),(491,39.3666141571),(492,68.4976314484),(493,84.7471548837),(494,53.2812962551),(495,33.5969697209),(496,49.6450864492),(497,68.8007669917),(498,45.2497822752),(499,30.5644014398),(500,57.6512088812),(501,45.9949161245),(502,66.9796189061),(503,71.3050916549),(504,42.6622228828),(505,5.79188134684),(506,92.210977773),(507,56.5072268549),(508,15.9814207707),(509,65.1431518537),(510,92.1973083),(511,59.3536590196),(512,47.5985112064),(513,91.0384336376),(514,35.6287212413),(515,37.8537921726),(516,36.7002470158),(517,25.6607073801),(518,82.7741158986),(519,90.0799388463),(520,66.1507129902),(521,30.547764037),(522,21.4237843991),(523,53.8537183818),(524,60.9347533123),(525,41.6079151022),(526,19.7386524282),(527,77.4897900507),(528,18.8244594627),(529,1.63380773187),(530,57.190210115),(531,59.4516879653),(532,46.129296534),(533,95.5325412382),(534,51.0503223253),(535,0.164625267583),(536,71.3413363832),(537,19.4410172089),(538,22.2374136666),(539,49.5046205268),(540,2.20786309588),(541,40.2974804415),(542,21.7487067181),(543,95.7865442948),(544,4.26661894995),(545,83.0295761824),(546,13.9176231086),(547,89.5992752484),(548,61.8095145407),(549,35.5356673078),(550,77.6971126971),(551,86.1005461238),(552,80.5077765228),(553,84.3189617512),(554,27.4023266253),(555,36.9233374551),(556,38.5443941379),(557,59.7732977119),(558,22.8164399695),(559,21.4106201731),(560,58.9966823094),(561,80.3773459618),(562,6.04853937575),(563,89.5027935724),(564,40.3060731998),(565,12.8640868876),(566,22.2223861882),(567,52.9500019737),(568,1.3801541516),(569,16.1910501854),(570,30.3172101043),(571,25.226294285),(572,37.6931260875),(573,86.7278375247),(574,83.9406699393),(575,85.4413310178),(576,66.4481609978),(577,19.8403011334),(578,58.6059696046),(579,54.4084908936),(580,65.3399646014),(581,56.8104387827),(582,65.6030730381),(583,72.1454527378),(584,22.3200008105),(585,24.5110104295),(586,37.6280387518),(587,48.8379715433),(588,1.26542672237),(589,10.4657031737),(590,33.2987288225),(591,31.4234501427),(592,22.5188157701),(593,1.85641440832),(594,59.8872726938),(595,3.23095969635),(596,30.6569830009),(597,98.0101447352),(598,7.87936846889),(599,71.3196062874),(600,15.5063382878),(601,27.2807238963),(602,35.3730005405),(603,94.9223934558),(604,20.2777632481),(605,66.4163809432),(606,84.6409121582),(607,15.8344123502),(608,84.6114831082),(609,98.2701170127),(610,54.3881977999),(611,84.7367840408),(612,22.7463995642),(613,92.0335870931),(614,7.08226230388),(615,94.6739596225),(616,21.0297180741),(617,29.0721948869),(618,79.9044574109),(619,13.0680639539),(620,20.3070000819),(621,61.0668044637),(622,28.4434678867),(623,54.7448693954),(624,90.3378140031),(625,2.69853241775),(626,9.18234571459),(627,13.1916210511),(628,7.8430220343),(629,88.4993435854),(630,67.8592897949),(631,16.8393328401),(632,66.1213349186),(633,67.9989933843),(634,73.2120049657),(635,21.1979314073),(636,8.16225252397),(637,62.4432683907),(638,97.7326222305),(639,59.3134480167),(640,67.0779464246),(641,10.7534946194),(642,66.6728836487),(643,48.2941358278),(644,13.4844890628),(645,14.4612001374),(646,30.6225343913),(647,86.3891854455),(648,41.716136744),(649,47.0438762552),(650,75.8032925654),(651,81.2873008782),(652,0.438661355021),(653,60.7272761874),(654,30.5110076316),(655,0.827472701175),(656,20.1033416306),(657,6.15040497234),(658,94.2974528807),(659,44.7600633363),(660,67.4655899064),(661,9.57770400359),(662,75.3002285952),(663,93.1432356764),(664,53.5521216454),(665,75.1719322132),(666,85.9354345808),(667,58.3625827291),(668,13.6625003041),(669,80.9500522513),(670,49.5015487852),(671,44.2809901255),(672,82.4771375816),(673,67.0374205548),(674,14.9352784516),(675,99.8659294152),(676,12.2730513867),(677,56.3872733413),(678,80.315793206),(679,68.9977231787),(680,79.9116165429),(681,39.6880233584),(682,43.4235235621),(683,28.8769833663),(684,79.2726803685),(685,73.0287386286),(686,3.16824145158),(687,33.1483376523),(688,16.2530074637),(689,97.6073905376),(690,25.9060322863),(691,0.951856646681),(692,45.4535666955),(693,90.3980627873),(694,65.36983791),(695,83.7694200058),(696,84.948837692),(697,21.1346625801),(698,51.9410770497),(699,46.5071152196),(700,18.0535838607),(701,90.3564165184),(702,70.9585964663),(703,74.3961950787),(704,23.5277642693),(705,46.5564542333),(706,42.6158272944),(707,22.63869043),(708,71.4363831878),(709,48.7139315785),(710,57.9259216149),(711,28.576915355),(712,12.162519448),(713,74.4357005824),(714,62.4421508378),(715,49.661771372),(716,6.45744596405),(717,22.3601928918),(718,32.4917614139),(719,69.0150588252),(720,0.460914035712),(721,25.0511661873),(722,33.1174812417),(723,83.5415905924),(724,13.348152143),(725,57.3690127026),(726,31.3563886472),(727,71.5482733675),(728,55.3136333078),(729,21.1564817029),(730,86.2250640857),(731,38.8901754439),(732,42.0085236303),(733,7.05301938107),(734,58.1191927168),(735,94.5901105852),(736,37.8871537151),(737,45.6613066347),(738,97.4987412963),(739,37.7155510204),(740,22.9806400545),(741,20.6074780309),(742,72.6622040029),(743,2.39445510636),(744,2.89067823928),(745,23.1503659577),(746,27.4876109025),(747,55.440521538),(748,59.4031101362),(749,18.4366744051),(750,64.1847119953),(751,19.1584967722),(752,90.0262756935),(753,91.5535460609),(754,18.6037076363),(755,90.2446556255),(756,98.450726211),(757,0.417637650871),(758,80.886746147),(759,33.1116408393),(760,65.3614458954),(761,75.8123852859),(762,73.6044088933),(763,97.3984235978),(764,69.810832747),(765,85.8249543962),(766,60.7112332167),(767,30.2254802926),(768,71.9563029042),(769,88.4145000404),(770,52.5596629933),(771,43.2305744758),(772,10.1638418069),(773,93.8869189995),(774,71.1148062977),(775,76.645659061),(776,0.25894489417),(777,15.1687614885),(778,20.6361637088),(779,99.8915366417),(780,86.7555634463),(781,84.4952125858),(782,32.8269140523),(783,89.4218745877),(784,42.1758250253),(785,69.1511299384),(786,53.2595519991),(787,11.1207850691),(788,5.19244120514),(789,46.4408526203),(790,45.9803175846),(791,73.3346261519),(792,71.2398339054),(793,34.0904686835),(794,9.57975987749),(795,85.9955378356),(796,78.9223333668),(797,12.2358776643),(798,64.1726287525),(799,84.8080021355),(800,61.5868254724),(801,19.501008476),(802,73.7093174178),(803,38.6896619392),(804,80.6397937695),(805,22.5190507517),(806,30.938598156),(807,5.22138650186),(808,88.0924001115),(809,75.1276287997),(810,33.6263495292),(811,84.6590593879),(812,79.6299251795),(813,79.8080205738),(814,94.6104913102),(815,89.3658052939),(816,70.1051037593),(817,94.3086695992),(818,1.88086479013),(819,99.4943227555),(820,81.7104865695),(821,76.0507803224),(822,55.6483809999),(823,23.2859968265),(824,56.995331081),(825,41.1397261031),(826,97.2752517267),(827,38.1803515738),(828,47.3701455419),(829,38.0694412916),(830,92.2336942642),(831,43.3242363345),(832,82.0729779187),(833,69.430575322),(834,1.22418815684),(835,71.1879045004),(836,91.958097205),(837,82.6700419318),(838,46.8244751746),(839,41.8659587505),(840,23.390694181),(841,2.20600709745),(842,78.7684761866),(843,89.7261487724),(844,1.23844343175),(845,97.2485169616),(846,26.7187327619),(847,86.6083162909),(848,79.9084834352),(849,76.1010952565),(850,66.5068801733),(851,87.3441245024),(852,90.7381352711),(853,34.5173857329),(854,60.0216379701),(855,26.837714551),(856,37.3756954598),(857,85.0661130447),(858,8.76490218287),(859,7.64987345188),(860,79.9784229011),(861,63.7657989754),(862,56.4508737998),(863,37.9756793794),(864,42.952385622),(865,72.4769721563),(866,74.4457496774),(867,80.722132794),(868,75.6994994496),(869,81.0010290965),(870,40.152961913),(871,53.5606393084),(872,96.225850752),(873,32.2295438341),(874,79.1545066543),(875,88.4005584194),(876,0.106278099612),(877,52.6864372123),(878,12.8427613695),(879,43.7393631423),(880,54.2956772942),(881,87.6021796863),(882,41.9866665629),(883,57.1054101139),(884,7.87237085486),(885,87.9325104663),(886,74.2954980719),(887,54.4796580075),(888,96.9368682368),(889,25.5782793882),(890,12.5407048763),(891,41.7713322283),(892,42.892274594),(893,89.3003511923),(894,19.7423748369),(895,96.6074642646),(896,25.3426648138),(897,67.927363162),(898,16.9903472281),(899,16.3546467793),(900,73.2504455734),(901,79.4496048528),(902,87.3206419928),(903,48.9266732391),(904,32.2757831741),(905,72.8747584081),(906,88.6786484871),(907,31.0438998051),(908,17.8440833543),(909,2.38222714559),(910,51.6368173409),(911,32.3619119593),(912,34.4516361588),(913,0.30094400633),(914,60.8166181196),(915,4.7060367804),(916,2.44180219666),(917,89.7894391109),(918,96.4908975417),(919,60.7531227886),(920,44.3543990769),(921,45.4805011362),(922,98.40927562),(923,63.7217602128),(924,18.1154309063),(925,64.739021471),(926,3.97471388291),(927,12.8449895886),(928,56.868893994),(929,86.2327528228),(930,85.2670628493),(931,48.5242712439),(932,1.68524556597),(933,77.8927610618),(934,68.5829915462),(935,80.4911211542),(936,8.27069900062),(937,2.84581178527),(938,91.7879753485),(939,5.87241706127),(940,51.3651031322),(941,51.7804707144),(942,12.5991928252),(943,96.4592072185),(944,45.0323407837),(945,9.15641878269),(946,25.5273366085),(947,10.2224123662),(948,60.1125726173),(949,60.4645778166),(950,70.6437368717),(951,78.8600519287),(952,86.94912644),(953,80.2081880847),(954,18.1666933396),(955,89.2059188351),(956,63.3521545207),(957,85.2321634197),(958,4.95498530045),(959,18.4280051106),(960,51.2066941195),(961,97.6693880421),(962,67.3473983989),(963,99.9203969798),(964,82.4538020898),(965,24.6951367848),(966,90.0220101804),(967,57.3884406727),(968,81.8688933711),(969,88.8009821652),(970,37.462382743),(971,49.3229714485),(972,47.2010802943),(973,39.6564665289),(974,49.8591863879),(975,88.7714068869),(976,74.2901150113),(977,70.5745237795),(978,71.9760976263),(979,2.63694795553),(980,71.8199297046),(981,18.9736286887),(982,52.7300120465),(983,20.3414541854),(984,1.35251255828),(985,80.3064598162),(986,58.480404503),(987,35.4414150511),(988,7.17908182605),(989,59.318067273),(990,89.4865543739),(991,38.0272906993),(992,49.7233688704),(993,67.4133490336),(994,47.9164860727),(995,68.5053941366),(996,29.1380499453),(997,25.5513715874),(998,1.05048212134),(999,75.9626447217),(1000,59.3888496378),(1001,96.2620566909),(1002,58.6895199044),(1003,97.7899167043),(1004,56.853998896),(1005,12.8219005988),(1006,67.9812617403),(1007,94.354550761),(1008,90.1386537041),(1009,94.6581562339),(1010,75.7838827853),(1011,20.1652420192),(1012,3.62751690187),(1013,21.0581012214),(1014,96.0780215666),(1015,55.2974417279),(1016,59.4637125187),(1017,15.8022875544),(1018,9.86798732732),(1019,6.30683685793),(1020,35.7462663685),(1021,88.9432565568),(1022,21.4850757117),(1023,69.8194381795),(1024,60.1616894397),(1025,8.74242101714),(1026,76.0587567386),(1027,35.0015262307),(1028,19.7167943982),(1029,18.4151829969),(1030,97.7825441819),(1031,85.3371617776),(1032,13.989562509),(1033,52.8276837776),(1034,35.2367595949),(1035,19.5585022751),(1036,73.0971401062),(1037,58.171371534),(1038,54.7109148666),(1039,79.54538406),(1040,11.5404103816),(1041,89.7484527307),(1042,54.6912479101),(1043,70.1269025594),(1044,67.9185366069),(1045,37.0602428099),(1046,72.8350265037),(1047,86.7283754349),(1048,94.9134876939),(1049,28.6039071478),(1050,22.7748186925),(1051,21.3520085642),(1052,21.8239505353),(1053,39.0102621186),(1054,69.5806533857),(1055,13.748067811),(1056,5.56576972805),(1057,96.0760717249),(1058,10.6389646557),(1059,81.2022532325),(1060,48.0363651625),(1061,39.8786855467),(1062,31.7074847944),(1063,10.4756969824),(1064,91.3888549724),(1065,18.8931599156),(1066,82.163747504),(1067,91.9647304807),(1068,90.523513329),(1069,47.3742798617),(1070,83.3609170875),(1071,77.2473762194),(1072,94.0666654946),(1073,12.1748990819),(1074,18.9284149041),(1075,1.3724808358),(1076,25.1842362531),(1077,85.2084945889),(1078,59.6392049234),(1079,36.4467746229),(1080,8.0435997264),(1081,58.2710743623),(1082,51.0930050266),(1083,14.6412403724),(1084,70.0547447882),(1085,38.7272156022),(1086,79.5443547568),(1087,6.68542663681),(1088,39.6767543368),(1089,45.2853751077),(1090,58.5870565956),(1091,12.1035970141),(1092,25.4487541209),(1093,7.65236181486),(1094,94.4056224813),(1095,70.4048557422),(1096,33.0364782341),(1097,60.7037254918),(1098,30.1080700399),(1099,71.7628607008),(1100,79.5889767896),(1101,29.2780435923),(1102,88.7141250436),(1103,84.4872269758),(1104,90.011105632),(1105,80.7491452282),(1106,45.9567115063),(1107,68.3888220832),(1108,55.0030195062),(1109,42.6953043608),(1110,4.04681828573),(1111,21.1833400876),(1112,92.8447479486),(1113,96.878954184),(1114,72.191409631),(1115,78.5422527571),(1116,96.2287207424),(1117,82.0214081733),(1118,76.0554318733),(1119,27.4034560929)]
/Populations/S/activate=[array([51.377041588320779, 52.074496403254322, 52.114093164454189, 52.320286127422165, 54.541096903927304, 54.796219249237673, 55.040616576636026, 56.174333308758975, 57.596411494106434, 57.954886484471189, 58.549304719906871, 59.225924727490302, 62.2349756716497, 63.293760990922451, 64.405064095182766, 64.953087720388922, 67.477869595992345, 69.672485962158262, 72.162809660561237, 72.934313978328476, 73.027452469625274, 73.509950349502517, 73.943971702472879, 74.534580324637886, 76.892350808625523, 78.309215155688733, 80.831279957052345, 81.97782027452719, 82.571208086045942, 82.892237923303426, 83.954477879354059, 84.66560487664124, 85.297908178519563, 85.892850741661519, 86.363997674496929, 86.708195038433075, 87.072721276271594, 88.023075472829518, 88.67836130483758, 91.542537651527297, 91.907812383618463, 92.659127784300694, 93.728332522630851, 93.775948877170649, 95.170047465930182, 96.966532465218592, 97.279480156531307, 98.05632206398127, 101.19721302827246, 102.26656847843444, 103.74515773331001, 104.14675601312651, 104.65370189340852, 108.88084504699101, 109.03074882137645, 110.87868889681191, 111.9389358017288, 112.61987991695682, 112.77381328850267, 114.33071111660946, 114.47882480273488, 114.7039061824925, 115.00412666332528, 115.03137515593289, 115.2148581036918, 116.86902040263824, 117.48855381974006, 117.54202934442702, 117.99682468081365, 118.31126098226676, 118.71901680293639, 119.35384982232613, 119.4729311203067, 121.08271012994052, 121.39957594054161, 122.35149492117122, 122.52958550796151, 122.55122683513396, 124.72589462978618, 125.14560598984338, 125.21372130769662, 126.40815001718015, 130.87656332704887, 131.80888025874046, 132.36744446703801, 133.917684576743, 134.02231991020506, 134.4142220038396, 135.38009905467453, 136.13512858639876, 137.10124737799197, 137.38732704685103, 138.56005138992813, 139.7810811532029, 140.9116107081083, 141.32174777293028, 141.38178951811005, 141.85270759723826, 143.29745828263424, 144.95664511927231, 146.43471453207914, 147.87676208014838, 148.03103117056412, 148.43081697637169, 148.75089907866393, 148.81107621013754, 149.00580871836684, 149.34787298341175, 149.75137669483215, 150.20097192385668, 151.3966083955842, 153.36767602220451, 154.31192073804866, 155.24901631349263, 155.51592645451436, 155.71154361263788, 156.03195859242058, 156.42101638858995, 157.32629574408432, 157.62898808711202, 157.66935865360014, 158.78617092728351, 159.25913225857133, 160.11676350311367, 160.44397959543255, 161.33776214234206, 162.58610681883204, 162.85444103519598, 166.07263507344277, 166.86749361279047, 166.90163529168063, 167.62589848060966, 167.78373779095188, 168.15940704216328, 168.81440619392654, 168.86588674666783, 169.12698141683023, 169.81909161532531, 169.96701872557796, 170.66547230838353, 171.8994117127626, 174.42466029970805, 175.16242336392833, 175.65984676307235, 175.9955975416128, 176.52496195401835, 176.67976880441174, 176.90715525661489, 178.94584570007896, 178.9905668908541, 179.53245620494712, 180.12556647253749, 180.73373814002318, 181.10461834293386, 181.30203155785722, 182.31070802903233, 182.40190541577408, 183.60663636825836, 183.75892587018535, 183.90694827619299, 184.2528960533202, 186.71229031595863, 188.12100828524379, 188.38813413467741, 188.774711909763, 189.04129759905607, 189.21967242653051, 189.79668178161671, 190.35880019396126, 190.48305861986557, 192.05122972887429, 194.54345062568811, 194.85043220258538, 195.08766817370866, 196.72079198367868, 197.23062193652405, 198.02407064178783, 198.75482255995379, 198.86295604329246, 200.99335435208522, 201.17371173756348, 201.31819804960898, 201.98804048995419, 202.27556137149909, 202.70059369099647, 202.7754603364489, 203.27299770180062, 203.65104578273761, 204.11237022482726, 204.46955417098897, 206.89132830455029, 208.54668516676446, 212.16766375351818, 212.64106084455324, 212.95375946880137, 213.15911281526755, 213.76768306635674, 218.15849872938432, 220.73287242248094, 222.75364095668007, 222.96623871389497, 223.92306005212544, 224.25490317951778, 224.43477329517205, 224.88961523477991, 227.18280127626531, 228.27029811813182, 228.55278819239254, 229.93462916590553, 230.33658653757811, 230.46408042185496, 232.05243015039659, 232.2895778704727, 233.73867543922853, 235.86436425316481, 236.6219852903865, 237.21990659791737, 237.45885759709887, 239.09115362670619, 239.21927160423644, 239.46427721482473, 239.65094921635742, 241.38971518592405, 242.27548333058357, 244.58999223270305, 245.88853536155608, 247.69476774889694, 249.46026769240194, 251.08206269714191, 252.29909867274057, 253.20090975853608, 253.94005548046536, 255.49522466113478, 257.3190020228426, 257.8964832107709, 259.005690507895, 259.48610539144084, 260.25055622196521, 261.26417751762858, 262.15950127911395, 262.66081700315652, 262.84303700566943, 264.54611084446276, 268.99333840343536, 270.38640760240742, 271.08826129608252, 271.60734825555647, 272.41358835486579, 273.03747511344415, 273.18553764606952, 273.84355481352139, 277.76554892819786, 278.80968744305369, 280.13625178495789, 281.41387707587273, 282.7657044270224, 283.22676469122842, 283.26682408533918, 283.94610686605296, 288.75330482350967, 290.10173084649438, 290.1415934519971, 290.38782706999262, 292.08112440328648, 292.69770328730203, 294.04770061573981, 297.02844791041395, 298.3838476475367, 298.85592578611124, 300.00013168799484, 302.51226826579705, 302.83986396794268, 303.00809707012002, 305.68137115008597, 307.60588407514899, 311.01370912972237, 311.65038217567326, 312.65810422507582, 314.65029958459905, 316.01024711941784, 317.62317459595221, 320.12743277293379, 320.2271944698993, 320.89852889559199, 321.65465177746108, 321.88090936446162, 323.38066943040542, 324.2858901586734, 324.61789797112078, 324.75180828513442, 324.89497757561929, 326.84050861804741, 326.87809168119855, 327.38583806800995, 327.9433445608251, 327.97018103091409, 329.61558235169019, 329.92986775188422, 330.04666106178706, 330.32934387133741, 330.64459432286804, 331.32846141711593, 332.45441927148602, 334.34378715815188, 334.44732830307555, 335.89683708417783, 336.84753493426638, 339.47160951573522, 340.16626862818356, 341.29543743090784, 341.34567145064079, 341.67859445900564, 344.13942754024202, 344.23218066052107, 346.41250120314561, 348.41774916909435, 349.10836026069131, 350.75454902397587, 351.22079003051397, 351.8669860536931, 353.64504476773789, 355.71772755755978, 357.9826134548677, 358.22641398158964, 360.03658952239584, 361.62641485930106, 361.69777524442685, 362.50533081925101, 364.20673580358005, 364.91052080057722, 365.37184011082508, 368.48562707545909, 369.80336973692505, 370.7021103636871, 371.48227879981118, 372.22890357828555, 373.99271082021409, 375.70732984808217, 376.50892343461851, 378.33874186826392, 382.02920942852063, 383.77636492477802, 383.8841081785319, 384.49530494913125, 385.82053114035449, 387.45929183561003, 388.47601473525822, 388.54722886753814, 389.07476898957015, 389.83713193089602, 390.76251246059212, 391.01342914048172, 391.61808315561984, 391.81351205653431, 392.16613737915509, 392.47576966103912, 392.74107048855768, 393.89920988550926, 395.76787353083643, 397.38754665586771, 399.29129660412082, 400.82074626603048, 400.94299532450208, 401.86852768424711, 403.21609341574475, 403.99884374591295, 404.8835837566993, 407.35440212280838, 407.68141705973653, 410.00613408976932, 410.71010000986297, 411.05878490850029, 412.09424929014369, 412.49393995364261, 412.84358763783058, 412.93908911576949, 413.73421709813243, 416.22072327748214, 417.06147254993414, 417.08604014839818, 417.34386813018904, 419.62637452430636, 419.84011181704119, 423.45855345902692, 424.36223851392231, 428.19558975460211, 428.46824718259387, 428.54921221491367, 429.61169628147763, 430.0242337643391, 430.16713466690953, 430.3439653778172, 431.25947880239829, 434.31519014436833, 434.54026020354752, 434.59063050145585, 435.47387631304855, 437.99323965611194, 438.52731621459179, 438.76549396479925, 440.50559371186722, 441.48692494220404, 441.94828977296879, 442.17566031793336, 442.90845784453455, 443.55259580692552, 443.79118598728581, 445.46747423027426, 445.60885121576035, 446.09879938717285, 446.54646682751388, 447.19510339617113, 448.56932178806977, 448.74547815201407, 450.38204569694312, 452.02930462699641, 452.09601070256065, 452.75176894011895, 453.59207299232861, 455.77342367139659, 456.64001534170234, 457.34968991918407, 457.4077484849268, 457.61266265511114, 458.39392410367498, 458.76822162501469, 460.14272675996165, 461.12886636131424, 461.31974227040354, 462.8019528149112, 463.96764049857751, 464.05854004651792, 465.24759387108344, 466.01167917556489, 466.14794466427321, 466.73839804551977, 468.52765860272035, 468.65135587989431, 469.48895538554615, 471.03519887426404, 472.3388135548081, 472.42905087968467, 478.36054330753359, 478.99332503502779, 480.81053697373608, 480.93701003092508, 481.84256134348357, 482.93161421738881, 483.07931505664271, 483.70260492857329, 484.78913229229954, 486.4579107897938, 488.15126927823155, 488.40937668575481, 488.60631270821142, 490.84743465629623, 492.27513566338189, 493.09832547792229, 493.3624160526266, 494.05987989058275, 495.19217294262836, 496.77155499911953, 497.29560492425259, 497.98630227669042, 498.63997863612764, 499.49570996886052, 499.60450584875298, 499.80588693311176, 499.92076832079675, 501.3358257485358, 502.87649679795209, 503.46470385661007, 503.79396838539463, 504.47794329206255, 505.88200917931721, 506.75783278993271, 513.92823379523622, 514.96562852933971, 516.12876512984838, 518.97043317638008, 519.02161906257493, 520.29236238071496, 521.27929558354583, 522.27521796340636, 523.86383159174181, 523.93450788211248, 524.15573632999269, 525.88905844184433, 526.02580373998001, 527.21946704282198, 530.37056573542588, 531.09360062324788, 532.79861890713607, 533.01710860491085, 533.22949797364856, 534.28545035096647, 534.61721146900197, 535.99265476414769, 536.24389373087695, 536.3657410269343, 537.32739173299274, 538.29145150798138, 539.16180786120538, 539.9721891312422, 540.34580515627545, 540.82914571530921, 542.59080199367577, 543.0220780779722, 544.65747454238169, 544.7947681842644, 544.95614984182146, 545.43127561210099, 545.78589370526231, 550.36117611686643, 551.69422675666453, 554.3057087291038, 554.37939153113018, 555.96414489732854, 558.69394096761903, 561.52111888620732, 563.77882613159238, 567.08224561592351, 568.45529922379671, 570.97615360605425, 570.9991031654996, 572.44013871763605, 572.75613386396753, 572.79129293233325, 573.27289741869004, 574.25160546945153, 576.68239881757563, 578.469435241209, 580.18098900516281, 580.49386113876881, 581.21507322378341, 581.48720880353642, 581.99193180774068, 583.07910962260098, 583.60710102511689, 583.71522762580298, 583.85566065978401, 584.75052333072722, 585.49873136900294, 585.59491257480113, 586.4181312511854, 586.58374458353217, 586.68032401817959, 590.95039926954769, 591.67381483781423, 593.72669495434786, 594.30249087336279, 595.06028066059412, 595.12270803122283, 596.14720029274599, 598.25809177585791, 598.36853460568568, 599.24449279499993, 600.07085232793429, 600.38030691070139, 601.82166943288075, 601.88392103170747, 602.01204019817249, 602.93995775220014, 604.69609387533467, 606.62139522579616, 609.06027064504985, 609.49993377454541, 609.82502406880087, 609.85571488734172, 611.29682892289372, 611.53366262172437, 613.27732571377078, 614.24303361461591, 614.79322719190179, 618.67783925970548, 618.97616268985757, 619.81262479562929, 620.02954812136954, 622.76023186910197, 623.08736934430044, 623.2244397092179, 624.93883754281489, 625.40907454526655, 625.73839789839974, 626.51107553772306, 627.41948542451553, 633.26139573490309, 633.35240934365731, 635.17673150140797, 636.35668077125683, 637.10730472112914, 637.50347124663494, 639.96083361607316, 640.04922228426676, 640.21453779625369, 640.88842924225673, 641.77599330478461, 642.19354286682108, 643.27532420821649, 645.41484923623682, 646.79917665516757, 649.36015228229576, 650.21263269537212, 652.41803454852504, 653.50843438827872, 656.29568255044205, 659.55784263692613, 660.45051573551154, 660.57109857072976, 661.54425951282599, 662.07181206159339, 662.17541028365156, 663.44828110396702, 664.21661711091861, 665.42642893303525, 665.9355456240645, 666.74409965662062, 667.48777785486482, 668.16384374949905, 668.22935181313949, 668.45498680419985, 671.63170421734003, 672.48054105118649, 674.09529581672928, 675.29501500557478, 676.25310370134207, 676.36780591582487, 677.54648018814407, 678.39505274782584, 678.51801561585944, 678.58801074900327, 678.93392486736286, 680.43109941321404, 683.99877764277437, 684.63311767271603, 685.5997452960296, 686.95071117411362, 687.22352027015393, 687.53891206721585, 688.57143934317128, 689.77017990878767, 691.81551805800109, 693.45675846379447, 693.65386070633997, 695.10527417668334, 699.09549310079194, 700.13941817764282, 700.71001331765524, 703.31909624507205, 704.13850549095332, 704.17440188520743, 704.27499905330694, 704.48156619698204, 704.86711384238731, 705.09101081870949, 707.90726144082078, 709.47845521927843, 711.05813632788693, 711.14877637934205, 712.35576949101551, 712.42159129824722, 712.52781256037156, 712.8440976252308, 712.94696391929301, 714.67752648444457, 715.95668743507144, 716.08756500780146, 716.36059883132634, 716.49435978544, 718.31366313497358, 718.5678354879725, 719.08724811234219, 719.81348418295886, 720.99330590423995, 721.10998612874891, 723.01227647987116, 724.07321662996583, 724.09955578247866, 726.50332044757567, 727.17646411690191, 729.11301244517915, 729.87447376644513, 731.91103218783621, 735.60225150393183, 735.86838992305343, 736.95768260481282, 737.10804258295707, 737.52863388055232, 740.86351393407745, 741.55555447377867, 742.3420617615609, 743.13786945095944, 745.89944805125447, 746.92639405973682, 747.17861383193338, 747.7024698426394, 747.95618856945691, 748.37530017127915, 749.24593215864422, 749.88978318082513, 751.26631264961077, 752.17451271721575, 752.55453713757822, 754.1876033091562, 755.63268927319223, 757.59792602462119, 757.97307000362491, 758.52464035416187, 759.3156393445613, 761.54704557406967, 763.78884774987546, 764.92280936224518, 765.50763750355441, 765.74856375775244, 767.16059639783487, 769.23630504217078, 771.34863322511808, 771.76892699830591, 773.43869217556175, 774.27561653254099, 774.65181888805796, 775.08734905846893, 777.11216540863143, 778.04560813114836, 779.77701808735992, 783.71237829046231, 784.22167192426105, 784.72487291229879, 786.3562805961941, 787.35655847616738, 789.48165781104501, 791.31046208124098, 792.97164474757665, 792.9923261819232, 793.97845631022733, 794.36596850575802, 794.64438337294462, 794.80498563847732, 795.36244520257151, 797.15688493272251, 801.8322363768516, 802.19563499855167, 802.51613020049683, 802.67971048416621, 803.11158547509206, 803.54444647929245, 804.59377259162045, 804.84346518259883, 805.40536175530895, 805.97574359326268, 807.38950028381544, 808.34128263409571, 808.89053716394824, 809.87899983405941, 812.70405609088664, 812.87166700626028, 813.66042449328506, 814.23886525291584, 814.89289291857108, 815.87188513723459, 816.32748393162592, 816.90265279483469, 817.32242553296726, 817.5932471670194, 817.85146237407787, 819.43105503182562, 820.85414041927424, 822.4708338789651, 822.78259854963949, 823.30615860550188, 825.01295220569773, 825.6456009233541, 826.18919336507986, 826.59694365102393, 826.81403136119263, 827.03619542619458, 827.10571817196592, 827.568343818779, 828.5044999563919, 829.4958109079779, 829.68776316271578, 830.74971263105624, 831.46060781551455, 831.52648591431273, 832.06948112557325, 834.9271156231265, 837.03416363967585, 839.81887277520082, 839.85892560015134, 842.52080948840899, 843.71427921668248, 843.75470192344289, 846.02871839997226, 846.298522911193, 847.92502473397667, 849.46165716921155, 850.85045341722889, 851.08272717842431, 851.78761536111563, 852.85086313929844, 853.61566006684609, 853.704340752647, 854.08248377545078, 854.74668534896921, 854.80781627413614, 856.310887769744, 857.27887870231052, 857.78416513660204, 858.07380321109918, 858.44766378793281, 858.49908784955971, 859.79819138355379, 865.98566426612751, 867.22872654309469, 869.95181310957605, 870.18371990950254, 870.69599086230699, 870.77488379411989, 872.59449381124136, 873.59283659757261, 874.0603021073515, 874.48167416092713, 874.87209468698109, 880.15649415903169, 880.36096844374856, 883.0577332682949, 884.8354054394224, 885.0921222293473, 885.16973769053095, 885.78688594228367, 886.26529314829202, 888.49680378260086, 888.71361694659902, 888.89819208959796, 890.03114990217739, 895.21113582784574, 895.81223071970919, 896.11398938371406, 897.20122034493568, 898.88839405796216, 899.18386333950991, 899.45613924033273, 900.94936537070419, 901.45583852241793, 902.09533131055707, 902.1371546815202, 904.71057716487144, 905.29961143061519, 905.42628486492379, 905.74375339497669, 908.76599743904455, 909.04722741034141, 909.26203991813225, 909.63501317230009, 909.73771914758777, 913.12455076603237, 914.24591316544138, 915.93308010957787, 916.40884404161852, 916.78148677858553, 917.52071528975898, 918.71404039322942, 918.91457751908649, 921.15086891086719, 922.36380766730997, 923.5050964327138, 923.59482523582835, 926.03285212109733, 926.54102902977525, 926.60988443882593, 927.82645245834328, 929.15121314988301, 929.34107343103744, 929.66899515287548, 932.34614255412782, 933.56155270815532, 933.93265617786881, 934.50370171129691, 934.79279984419213, 935.03743080314155, 935.72706564282316, 936.58429493060066, 938.69572501691471, 938.88302576683202, 939.64215442781267, 940.10847293344352, 941.2099625637909, 942.32408358033842, 942.94037730516152, 943.02895702287321, 944.32051632554385, 945.28210442158536, 947.76629175539051, 948.19233681405001, 948.65621096124482, 948.81898380858547, 949.5337812142302, 949.70057849512216, 950.31133826508346, 954.19588709278219, 954.98533760538112, 958.325082520244, 960.05331678620144, 960.92009853701438, 962.60179913975128, 962.69143311049277, 963.50135090538731, 963.82427735884471, 967.76948011066304, 968.69085653942716, 969.72338672440708, 971.1998641638545, 971.86865208865925, 971.8982851296696, 972.26080814796444, 974.12497303418093, 974.16177813559523, 976.41606588103525, 977.12800787874494, 977.15085394304811, 977.5735649679317, 978.67225269019718, 979.18525629161297, 980.29713689130688, 981.03003180802875, 981.75766911144092, 984.91757002063753, 985.15799367186821, 986.33791027096197, 988.58548929234917, 988.93740516886942, 989.31774755881054, 989.70046909220787, 990.10609107786058, 990.67022993968953, 990.79504112132565, 990.9940324659924, 991.19625567505955, 991.77396752855987, 992.07827052790913, 992.43004303619261, 992.72420016082674, 993.31672970171542, 993.86918351105646, 996.52474246809425, 996.95397560047707, 998.36885601672918, 999.1271267270514, 999.3643148701866, 1000.5506581285772]),array([6.833563004714871, 10.052623927104236, 10.435578650316193, 11.281489389768494, 11.521233517632899, 11.838659572883389, 12.477724429288175, 13.177575506203059, 13.206061812321678, 13.950955639392852, 14.051052945677219, 14.31708893420384, 15.154374826463046, 15.631168029384552, 16.913594211981632, 17.059849642005801, 17.544287551699192, 18.99407029140518, 21.137485445904467, 22.912458416402046, 23.026929724035472, 25.173991251476028, 26.024231330887609, 26.368927058812861, 27.423555240814505, 35.062327474580414, 35.266996672143058, 37.959530547435676, 38.887487359823794, 40.081713665692419, 41.0005767495702, 41.07438394778417, 41.285257086555319, 42.05028326197715, 42.287144539134083, 42.922103882149841, 44.613051193536457, 46.635740292509929, 48.163081002142292, 49.351509673223795, 50.355817595580859, 50.517039728210932, 50.628655930716405, 51.013847280477023, 51.29872165714486, 54.445391128181768, 55.064960581753368, 57.13527471177062, 60.500676321665587, 61.18701744420914, 62.048708914190499, 65.081477901345423, 66.491208665270292, 67.338127209653337, 67.683122928166895, 72.162238879699956, 73.15209663374857, 74.103884369387671, 74.204157338350001, 76.262225810831438, 77.659965685122771, 79.229792482474053, 79.311654420464791, 79.869568925962071, 80.231572906388536, 83.971155999317915, 85.909918258478598, 85.994718554027003, 86.483074572032464, 87.235406761426603, 90.529764115506666, 93.383739938112754, 93.93519637310041, 94.026429717889854, 94.511593812750945, 95.535865593187637, 96.064447983283827, 97.525614394527267, 97.927882136785499, 99.439957186181161, 99.944637516856901, 100.64036403295108, 100.92866683443357, 102.51242572893128, 102.64082375739409, 102.88649491467065, 106.55518766621962, 107.72052505559193, 108.22077969305188, 109.47316318177124, 110.14390155122221, 112.72502629336238, 113.56986954701539, 113.61276927158397, 114.52546465891569, 115.27684686488726, 116.12139327275513, 117.04964729304992, 117.32533930575131, 117.49130271876805, 121.49815037827638, 122.37355465601397, 122.95346898913206, 123.40304165915758, 123.65359787048524, 123.67554323978852, 126.01599791811836, 126.78267137515826, 127.27804736281668, 130.52832915729658, 130.57715340595652, 131.34704126879043, 133.1812030989586, 133.24389357158742, 134.24348003898126, 134.84986001230675, 135.00499334675104, 137.16337101294641, 138.24819667369354, 138.39960665765429, 138.93708542413847, 139.74800027451948, 140.44673729108726, 140.63964635497948, 140.98155626308213, 142.40610503305768, 143.58960424271376, 145.03487469231058, 146.92826344232273, 147.9288286846151, 148.23239341672178, 149.91465670981259, 150.07650832004728, 150.80084185086952, 152.03024393573497, 152.63933400448158, 153.7712294099538, 155.24931440523159, 155.4002132514608, 155.54467425916948, 155.79471596763415, 157.92453759811343, 157.97189781995212, 158.05338706527542, 158.76585846150633, 159.7444571017609, 163.25842765337396, 164.07996424007152, 164.73603397692236, 164.96246237492235, 165.60027040957257, 165.65039377258682, 165.7994294802985, 166.41847630497176, 166.73847708998795, 167.20856847286811, 167.28539224550764, 167.6821279629969, 167.97887952305211, 169.57130737394652, 170.45061773748526, 170.81326184377915, 172.17098651141407, 172.8085449728427, 172.8854694825983, 173.11374229473839, 174.76292623105252, 175.35551469562469, 176.20303786444066, 176.68224237477122, 177.27158711727807, 177.40186786829173, 177.72980567070863, 178.22009748738162, 179.93783803338073, 181.9512816121815, 182.98543209133072, 183.88621983495244, 184.1231745314831, 184.8528151894582, 185.54605037344254, 187.20547794825038, 188.17702895539853, 190.73337791965201, 190.83429846718818, 193.67810868651864, 194.60123534149338, 194.98139609875653, 197.49337809622111, 197.62229479693406, 197.99234312968949, 198.22354295240592, 198.41030461611541, 199.13974998339387, 200.00363207007175, 202.68993341520064, 203.65556429788884, 204.06172722485096, 208.21122479763099, 208.61280300497856, 210.0085420638145, 210.68516699578413, 210.85507091096991, 212.17145331868289, 213.68711568773227, 215.44515360740911, 217.70051801144359, 218.63717804224407, 219.82754233089022, 221.33893618662907, 222.39865136380385, 223.12120419653724, 223.60418864327016, 226.04593423201922, 226.54801764242512, 226.760220184589, 229.36209080043497, 230.44835486126681, 230.81222909503987, 231.39557035664959, 234.80765489459259, 235.84127569456456, 237.23244686825973, 239.08333857256949, 239.25816800194247, 240.13887271196953, 240.6990554328446, 242.34658330160195, 242.97142045969906, 244.66863829877525, 245.51180870899526, 246.58852544712957, 247.14094059408248, 248.14273732185745, 248.18386391552792, 250.97030984613133, 251.32585821953947, 252.61307416086203, 253.93010840121073, 255.15395823589586, 257.62416670905577, 257.88631678457114, 259.46136925307889, 260.58506626436821, 260.65048304499533, 263.62571539423868, 265.59477969248917, 265.8717301528759, 265.95518522602168, 265.98000756883067, 266.02363065349601, 267.22975712271096, 268.6502887555859, 269.13691797752256, 269.32622908893921, 269.49314846253776, 272.49261217213973, 273.34776520631317, 273.39280143527765, 273.9636676092419, 274.61194186244995, 274.70817925773457, 275.34969140402751, 275.72338992398869, 275.9806367066941, 276.33795959077918, 277.00196643280583, 277.57184454574616, 278.257329891143, 278.30990046849536, 278.50582152030995, 280.43264681198951, 281.54934406442339, 282.55442872803059, 282.69849768840686, 283.28073406565125, 284.70875459229245, 285.09649916672657, 285.53729671445814, 289.55055055031318, 289.92578782113185, 290.38480230156654, 290.45018641281638, 292.07495411074473, 293.3322196738664, 293.37757552554137, 293.97460940998889, 294.22133428705376, 294.79532037657071, 295.43378825236732, 296.74570627996258, 296.97414460567251, 297.2117940445296, 297.6864167025492, 297.74673336164847, 298.49348379735466, 301.406610893986, 303.34711988447464, 303.47529656566701, 304.07875947704918, 306.1321101124006, 306.37303924133664, 308.4967016086178, 309.04098645310165, 310.11436812898592, 310.59766671778124, 310.93819109019984, 311.67785712714732, 312.02089364217278, 312.69012842552809, 313.91916170289733, 314.58382422691153, 316.84031449892888, 319.05111787160575, 319.35729245195728, 319.55280776817023, 320.68841933997703, 321.84227076525053, 323.25359615049399, 323.89981914019728, 326.30601192988547, 327.43082992954504, 328.66140693057673, 329.28536930407074, 329.6717013949966, 331.00323897227935, 331.19707548847521, 332.43515482988039, 332.84456820854984, 333.49942022140311, 334.22628979396575, 334.51441616254868, 337.0000785273815, 337.27628086941468, 338.86346016810444, 339.72288569508783, 340.30692070168266, 340.89838881629555, 342.15508250633127, 342.8984640904664, 343.35407298610028, 345.76681248445038, 346.1863371982609, 346.61633164777618, 347.12250799006466, 348.42742834390054, 348.6174455663475, 349.33453556476144, 350.17699595592791, 351.93105545969814, 352.14124389968583, 353.32538117403544, 353.44576435929349, 353.67702059776815, 354.62960293197312, 354.94597757590759, 355.04022289074004, 356.55910717589222, 361.73677703964592, 362.7599906126805, 363.33422048939701, 364.12411797318356, 367.78991252690162, 368.16773964790229, 368.48875774893611, 368.6536164890108, 369.49496900454182, 369.80209363954532, 371.78969834555494, 372.10282550254789, 373.1811616092852, 376.45389713101986, 376.76108610916748, 380.54361586305856, 380.6957608211203, 381.166434051951, 386.00688625302337, 386.55738458052679, 387.5207146203287, 387.62309292739548, 387.81135839115319, 388.09846317705336, 388.445873032208, 389.52805973433192, 390.05255795160679, 390.3830871749276, 393.15958211478193, 394.43884774762722, 397.83026782742002, 399.77032480834521, 400.16602203319724, 401.30348495142027, 402.20696997653147, 403.68399802773843, 403.82753492525302, 403.87204262769592, 405.11961218613084, 405.16797550476048, 407.35160401122641, 407.55684553791252, 411.03283251204067, 411.64291028728036, 413.32475824521424, 414.4962324907321, 415.22542930635086, 416.4021981114945, 416.5014316199435, 418.37781606943531, 421.24162854576468, 422.17869093248601, 423.27178664011586, 423.62662404804399, 424.15399843876122, 424.68750575936099, 425.72704801276723, 425.93956921599943, 426.22896529556527, 426.66578849244831, 426.77177784384037, 427.95015433728042, 428.18489586938119, 429.4584678293038, 429.49365686728407, 429.98292637943234, 430.13583201882273, 430.38303215183413, 431.67393918376996, 431.90517421328468, 432.04558243547928, 433.67294829001679, 433.84273470616967, 433.97688697851169, 434.047168698929, 435.65264363131371, 436.08250048007534, 438.85594949567371, 441.21585058910171, 443.2524869340653, 444.12102997325474, 445.77138461001886, 445.813724621988, 445.94335239843008, 446.49502492496811, 448.40084553599257, 448.63139744817869, 449.80628065158464, 450.83920830683428, 451.28454349659876, 452.48269274982283, 456.7043967473752, 456.99871611387834, 457.06495202987719, 460.66965483467555, 461.98190840288515, 462.40602098527864, 462.96959565797937, 465.03398283990316, 466.69659349778607, 466.76554007615727, 468.38852438081909, 468.72509368645274, 469.53263506683891, 471.15532014553588, 471.32560130602104, 471.61943659262278, 472.53365471597664, 472.5828852504539, 472.99256586557391, 473.22286872506294, 473.24940849357472, 473.51886382539237, 474.8876473822906, 474.97621906783183, 475.69069780897701, 476.3418495967685, 478.34781132484829, 479.10069925623543, 479.51527309243932, 479.93688543566839, 481.58888290709729, 482.72018872854801, 484.64326582120299, 486.19870889680078, 486.89038266403185, 487.37490474502152, 488.40124227579901, 488.87906282703625, 489.55245578286303, 489.83518166891275, 491.14249986894583, 491.60227114082187, 491.80014730278629, 492.37659527055462, 494.84918538814969, 495.3870298788616, 495.70097848178739, 496.73708806594539, 497.83900309491099, 498.93086724548255, 499.07261461875851, 499.72536041684577, 500.2919161220039, 502.48735310007032, 502.7741391186629, 504.18551076263242, 505.42115354300881, 505.46144573269618, 506.00621935407827, 506.38905337869875, 507.78703624979659, 508.17541096613087, 509.02157034658399, 511.317234083215, 511.93187995185309, 511.97532290829571, 513.08012771341066, 515.98251012872822, 516.6983896756492, 516.9823070474182, 517.49117266814335, 518.02371220011901, 518.44706873220343, 519.1591764043327, 519.99833964688821, 521.32614129975786, 521.63588134865552, 522.87935909545479, 524.00415633874411, 524.77743920874309, 525.04307550101839, 526.11603161210337, 526.23392468105578, 527.86080372444371, 528.98554018443849, 530.09485151934985, 531.86377343665515, 532.80366026163188, 534.13088858817264, 534.50125578919642, 537.8344465196227, 539.09357848176023, 539.41364818462898, 541.34875994388517, 541.48229775282539, 542.04388541779053, 542.74124313744846, 542.83445003112502, 545.83857144571721, 546.33783540055686, 551.39639444643387, 551.75958381430894, 552.70367838350876, 552.99675215950981, 555.87907508484602, 556.61697063427482, 558.65445783263976, 558.8591767720518, 559.41197583083067, 561.37462973611105, 561.95298785963962, 563.70454998933621, 565.23629716290236, 567.08574463720277, 567.31591543415311, 568.22710668629406, 569.10244433316382, 572.95503629581469, 573.22136415251612, 576.96370460050605, 578.82440249646095, 579.61871831941585, 580.03770455554115, 584.30837103281976, 584.4960766213344, 584.5174597729, 584.57716025034517, 584.68762253583054, 585.92337454806341, 586.717780499696, 587.74636788188582, 588.7607669239186, 591.16550440558251, 591.27007068578416, 591.55645166656291, 594.59135460445464, 594.6335036601339, 598.98373843152808, 600.7429780150967, 602.21582970693203, 604.85650173689305, 606.44081450026204, 606.48806801331125, 609.75051966962656, 611.05883960672804, 613.50562309830002, 613.79032468992341, 614.11569705281318, 614.21299492937226, 616.12499955461817, 616.33006049257733, 618.04067537991432, 619.35446407101233, 621.05955335178783, 621.38065536335307, 621.45356843586387, 622.2337366451228, 623.56951267541262, 624.52800331758397, 626.71427363328451, 627.9776669661436, 632.72329505987204, 633.30541223048317, 633.96588713994925, 634.16575339269286, 634.73649695515473, 635.52377786175327, 636.42432399647464, 636.65228745776301, 638.08748832302945, 638.32097686055806, 638.65561771284001, 639.28109463883106, 640.80650100101036, 642.04834706672318, 642.21757115709875, 642.36514543524765, 642.45234111859133, 643.76132643206824, 643.89178888114407, 643.96623573312729, 645.44922151741957, 646.06740341923705, 651.15486755514166, 651.21750998775326, 654.59637599733639, 657.16434634577649, 659.30351629228335, 660.48427606494272, 661.05386623169557, 667.04543814977819, 667.29070148355368, 668.34210398005484, 670.53456414470236, 670.80189907474073, 670.87659607711623, 675.47691121356627, 677.33996751654308, 679.00598030615231, 679.16470442591412, 679.33254961589762, 681.89127662882606, 682.85856240492194, 683.02835430199025, 685.15040254983944, 685.30783017703789, 686.68479318992763, 688.3706864850767, 691.95708599604495, 692.06322364570792, 693.23673311782147, 696.39789528102267, 697.38937826757706, 697.77588385491572, 697.97724233124882, 699.08888926286909, 700.73501638373682, 701.02491877621833, 702.49889143601433, 704.60060306943524, 705.64807090154943, 705.79589871782309, 709.61301200196863, 710.37570991570749, 710.4683392823132, 713.10773750442308, 713.43666742745916, 713.83695759341776, 714.09217119440291, 716.22202530665902, 717.37335553345156, 717.99983334412298, 718.65379836034469, 718.9054360066956, 720.13301418961896, 721.65725259864826, 721.72090314951049, 722.01108440335724, 722.69630604925044, 722.86877795571922, 724.54866632475523, 726.12033332113367, 728.6693457597836, 729.94218344531259, 730.97423576569497, 735.88381376677216, 735.90383162339037, 736.01195286548398, 736.26877046641005, 737.50358242420941, 737.68747839327318, 739.67396532539749, 740.17397317459745, 743.73803154715029, 745.70435030981923, 746.51087961352368, 749.09178902306644, 749.61052832216012, 750.82705254556913, 750.99805352716692, 751.08598993891258, 751.57226186666776, 752.68170921682838, 753.68776310208989, 755.9837506464238, 757.52565378510292, 758.35566596481112, 759.11106310816081, 761.17290402511389, 761.93303250629162, 764.42307243390712, 768.84082433136859, 770.04729012474388, 771.83965048055927, 772.82238735186263, 775.00643446077299, 775.12781355347101, 775.42106129336116, 775.96120834463113, 777.29953764738843, 777.90894520049528, 779.80311397588537, 781.116812896792, 781.72750245244879, 783.43139197517507, 783.92267484042623, 785.00482981805226, 786.56945589784129, 787.80216210453307, 787.82835223835002, 789.19987373529557, 789.55557894054402, 789.85235135420749, 790.86055815088207, 792.94594802758536, 793.05863952857612, 793.48210409771889, 794.07921903411989, 794.63418596102338, 794.76589731994181, 794.88471738561884, 795.01548637215217, 795.37416234874252, 796.88833592308424, 799.02019209107732, 800.72104200437866, 801.46312544327111, 804.03253862775807, 808.80786451749577, 809.46257252460157, 809.52754255117713, 810.11943709401794, 812.56169599315899, 813.71325355722331, 813.95968426242086, 814.76435828779415, 815.18421339640327, 815.85603475999665, 818.38120553285739, 820.39078896068168, 821.77957549608163, 831.91111110870827, 832.23806190050948, 832.76616089764741, 833.14851816551891, 834.04712488457506, 835.35263630423492, 838.9256883240879, 839.11590824049847, 839.22768189388046, 839.87886765137762, 840.53325652889464, 841.6304288880533, 841.74975533630231, 842.96650719386935, 843.56054533788972, 844.22798084807937, 845.67389665851761, 846.68775625460546, 848.9562439364737, 851.72548741730839, 852.87429436210152, 855.75597433824191, 857.24835532153384, 857.3665792411598, 858.39906092025524, 861.45369588517917, 863.92821389710627, 864.6870757327016, 866.56408935303659, 868.46840337190793, 869.20826061508603, 869.74292840599423, 869.87370455465725, 870.89752775519605, 871.26919416037242, 872.33556309748792, 872.52868082696534, 873.24941933297839, 873.45870020448183, 873.70691807944229, 873.89953288342701, 877.75716430197485, 878.98578431735905, 880.12297619706192, 880.2756023197669, 880.29684603306259, 880.36173585661913, 883.13163176023443, 883.26507256958359, 884.24545937515734, 887.25412435873181, 887.63045854890754, 888.90504543612315, 889.39602715517333, 890.49812784964149, 890.81560404060622, 893.197270267465, 893.56872610775577, 894.11097722214959, 895.18795067369717, 895.27464062651688, 897.55935910008429, 897.71732603839746, 900.25325971988093, 900.28134757634416, 900.33476982805371, 900.80366541732201, 903.82432309516093, 904.53270900010489, 908.2293752405285, 908.51753872789584, 908.54184432804391, 909.20278350362969, 909.97559548462493, 911.32658600807304, 911.60578428394592, 912.40555455024662, 915.1097733310653, 916.97159937378967, 917.55142566545885, 918.97114414969838, 919.12135657708518, 920.5790755393823, 923.23540370473097, 923.95580700797211, 924.15946354322432, 924.39705903343372, 927.12034620654015, 927.26847037672826, 927.31356684063871, 927.39128442319929, 929.69619943260864, 929.85036375877098, 930.1174013701052, 930.45953149336378, 930.53495836812044, 930.59360738205885, 930.7145177470619, 932.22457387437305, 935.62711849501068, 937.23828921902464, 937.35629522010777, 937.86245725249466, 938.42072559668179, 940.07514769644229, 941.55645196400235, 942.09632791701688, 946.65551060774351, 946.80530269246162, 949.43119195259555, 949.80264283605106, 950.36050789133185, 950.95296037807782, 951.05078645728679, 951.24938839326285, 953.38563110517816, 954.33584051917865, 955.6806924543863, 956.00656756447609, 956.70346360507597, 957.74011948203088, 958.10849305911438, 958.80457512502062, 960.1195138151437, 960.53945412531039, 962.23146342166183, 962.54858809496363, 963.26143678119479, 963.99086646869682, 964.89763284173841, 966.13908354668035, 967.67530756088001, 969.31113221975886, 969.86137872131007, 970.18102343822864, 971.51362987164225, 974.64551129904407, 975.02897055499272, 976.49514856171618, 979.50694655099016, 982.41139012043436, 984.91972219688546, 985.31633716200008, 987.07776854236909, 987.77055334194552, 987.8586203785818, 988.67434321499491, 989.16955822191267, 990.35602598569938, 990.86281914876281, 994.69671621253315, 995.05624489766774, 997.39756027146848, 999.14760058190529, 999.94579400710711, 1001.8518802484909]),array([28.81810780416685, 31.659173904437285, 33.463266009643007, 33.633125412098806, 34.112307094432467, 34.472727381661223, 34.82064200607936, 35.408033800663546, 36.245061641120373, 38.475674417456766, 38.521250984949319, 40.133739293540856, 40.980627239947466, 41.957724624043678, 45.14553557839703, 45.934561142611038, 47.14974290754045, 48.400496205264318, 49.252000782090292, 49.500241771751888, 50.081211652608431, 51.058233264830449, 51.897760685419613, 52.290242492305289, 52.794306223154116, 53.871566791467011, 54.390425057768432, 54.925718813706659, 55.796896796328767, 56.186581695455622, 57.459381033623067, 59.929479190207743, 60.44333210392346, 61.478910318296499, 61.627353619920896, 62.372015073632014, 63.580938558338303, 66.659753062150841, 67.823817197202004, 69.20077863069605, 70.634784761882202, 74.635485016705118, 75.225778352584712, 75.469105828620243, 76.669516814984618, 79.07260841993164, 80.257079351201583, 80.389541454274763, 80.941274406431504, 83.317379953474855, 84.192270307912054, 84.418478294680909, 84.72635106324546, 85.180124890722411, 85.392922665187356, 86.045096494059479, 88.314707490572673, 88.557556274606057, 88.843241367746401, 89.874254353861943, 90.353064565625004, 90.7528717861112, 91.953331705386844, 92.474481122016201, 94.654231235215221, 96.6380709557654, 101.54812738860112, 104.12986959203705, 105.90870125611626, 106.19071345979106, 107.63493318276726, 107.66511752479775, 109.46741126328828, 111.84284386515135, 111.91242745291636, 112.50165404078919, 112.57427128528455, 113.20256382482752, 113.51971849464246, 114.97401671524612, 115.82607932845609, 117.59064984952305, 118.00770806753575, 119.36501292444423, 119.62975688985959, 122.90329463116119, 123.40326585412151, 124.50423361068597, 125.29208324879795, 125.37162917227623, 129.21622972111669, 129.69402988853346, 130.43938352572835, 130.68844993294971, 132.57502834485692, 132.82283199434553, 132.94681420938102, 135.37254271766474, 135.66021071091683, 137.26818781231918, 137.34865937021186, 137.65992376967873, 139.71291874791115, 140.09422730209897, 140.3459257129509, 141.62673344147103, 141.85439980236197, 144.45131030266811, 144.6001287315988, 146.3341778249538, 151.4715237295373, 151.65627891050784, 152.43111599253308, 153.3391124240199, 155.21200779065555, 157.14357016597171, 157.97662478254341, 158.14200670132354, 158.89422860376112, 159.16323379419862, 161.1112146676449, 161.30061364101479, 163.61746923783073, 163.81099295161945, 164.15231037019575, 164.19403787864024, 164.48853179327901, 165.80650562853282, 165.89303660555092, 167.16284847787546, 168.0514179597005, 168.20660695911513, 170.5126885978456, 170.55581446089681, 171.84417874507457, 172.78929825388286, 173.25869879916834, 173.38035685848359, 173.94308948032793, 174.42711578502451, 174.82061381335268, 175.0893841895948, 175.91476404319889, 176.00158881493184, 176.59748394094487, 177.01792208573096, 179.99512713591778, 180.76268939113976, 182.30111804324795, 182.92088256592891, 186.94547302823952, 187.04222169374182, 187.59160848764054, 187.74347315304448, 188.54438514958233, 190.98971394605215, 191.99932957689364, 192.31398276390979, 193.65900510394698, 194.43718021380403, 194.86064634772748, 195.01974991350039, 196.32011494319266, 197.12195472556093, 197.27251665574124, 198.58593423884577, 202.10896022772289, 203.11167911443957, 203.30560044179254, 203.45225062794992, 203.96057567762747, 205.08634092005033, 206.02428120923375, 207.1857293844258, 210.67981514561595, 211.35336018521681, 212.43041509193947, 213.74815742795425, 213.87132486781078, 215.24426461704519, 216.07345068165066, 216.59458851662717, 218.07719236189482, 220.64456277480002, 222.89423538443074, 223.83879422396546, 225.19988586349163, 226.5631207280662, 227.11889543932483, 231.70450749047021, 232.23269271631273, 233.15792962399544, 234.60986660316897, 234.84475653688989, 236.62998884060434, 236.83814303082767, 237.88324763022072, 238.24099163157967, 238.81926170516618, 240.16312260063887, 241.13561270429773, 243.63143014575888, 245.2110521714342, 246.17463009546555, 246.50085265300666, 247.84057843995936, 248.24434623449594, 250.06647144045758, 254.6947103671921, 256.7032703337357, 256.89555762728787, 257.5032484305907, 257.67413972518671, 259.67322706141283, 262.05553897092227, 262.96147605865178, 263.10491709302613, 263.32377834933362, 265.45933814284069, 265.62510575018518, 267.20986047977232, 267.39732272510605, 267.44900580191035, 267.84450744720385, 268.24279006645554, 269.26205674232813, 274.59872599422636, 275.72323101649141, 276.46668442833527, 277.67605146872631, 278.08444364651336, 279.64966076855484, 280.94217731053885, 281.07291103925866, 281.12145664804126, 283.28221528802214, 283.40644169405033, 283.652085773137, 283.96426976639037, 284.20459542679095, 284.88927321705211, 285.19697970835699, 286.11504261760876, 286.6742916558195, 286.93338917958243, 287.40064291837541, 287.73921398363808, 289.6294859409752, 290.53391332519629, 291.23988646449425, 292.12737424843476, 292.25023752331384, 292.36539524167875, 294.40026690507648, 294.49368492323498, 295.97599141444294, 296.31542698116476, 298.13746473442666, 298.31705435553562, 298.76264213857473, 299.55781366399094, 299.9963481409352, 302.55050034042819, 302.97110629463242, 303.28568206983766, 304.35340827246222, 307.28230367951102, 307.47133295679953, 307.6213391985591, 307.80228927176972, 307.912778593822, 309.09955312534021, 309.68554530025114, 309.81524558466504, 310.22996959867532, 312.27272554197111, 312.46056873869941, 314.28246879065199, 314.82612558999824, 314.86348112409246, 315.79910210800335, 316.98788713349302, 317.53872229747719, 317.87948686443372, 318.10441713694354, 318.53258988005871, 318.81339906723548, 323.02668285674815, 323.75518379987625, 323.84796482582095, 323.87077331445602, 325.9213359581895, 326.29593971915034, 327.23683139605515, 328.21012928388603, 329.4790932223151, 330.03947049237473, 330.61113849742713, 334.6250302056045, 334.75459495437912, 335.47396617953291, 338.91530307693063, 339.64030561186206, 342.09150718843449, 344.07740960642036, 345.0532853836412, 348.34133594148977, 348.36295724702484, 349.82520474606019, 350.2914638726657, 352.79795990036035, 353.05104297099803, 353.39660256510035, 355.55564137699599, 355.9332165152436, 356.3660016460081, 357.43353140485618, 358.40231732854721, 358.47412182855362, 359.68687316480145, 360.27154462475158, 362.36573677116758, 363.71504532996795, 364.6384031596491, 365.81672553617858, 366.10144188416803, 366.77389401118432, 368.09609447385287, 368.23381059977589, 368.54600878859441, 369.07631995102878, 369.91384972490147, 369.97954030757984, 370.93052130905693, 371.72083009159013, 371.84728652472853, 373.15030726084274, 374.80335000091276, 375.65003812151122, 380.36707086294314, 380.69230843611336, 388.29914410327484, 388.72294992789858, 390.05807197254643, 390.38577244022508, 391.999053498286, 393.55165172753919, 394.814520971729, 395.14263157890593, 395.525997641858, 395.69414314789822, 396.39616987393288, 396.90366165913542, 396.99169295675034, 399.13634233930873, 399.52639693115464, 400.14477666569712, 400.55603722389969, 400.57925396047631, 401.39649684852338, 401.69697720889951, 403.56469973881218, 403.75882307325958, 404.97476600353036, 405.49614524811739, 405.85270988959581, 405.92713404267971, 408.22571875207052, 408.29590521282, 409.7118196475999, 409.819616536289, 410.62691872148366, 411.67006580547275, 413.65300081485248, 415.07049509500479, 417.04966825094652, 417.12387265570959, 417.23983690331073, 417.97022266678817, 418.83271434956316, 419.37990496527863, 422.17004113391425, 423.40827387115121, 423.72108383340299, 424.20152027640461, 424.55776463618963, 424.61698573315783, 424.90254388014932, 425.15849813624601, 427.30536842318878, 427.35999122583576, 428.96751364908897, 430.3442261685787, 432.37307703429298, 434.04550631627825, 434.09590341778699, 434.43944290468107, 435.03136975136721, 436.27294352945211, 437.03058802378797, 437.10301817115737, 437.97394419040319, 438.16137514412225, 438.84624193008472, 439.04245012307189, 439.47605173399791, 440.31428483911355, 441.55526659854741, 441.67566303488928, 442.73807768081491, 444.11800969867801, 447.7144383269723, 448.51230560940172, 451.87914390928262, 452.02216207149291, 452.93121059568534, 453.5448670722497, 455.46581857166569, 456.35531127365351, 456.80661640877025, 459.08855976649471, 459.50688351189558, 459.90958482810191, 461.24559175179269, 461.48281196846654, 462.09847728139215, 462.68158524423615, 463.70184724982937, 464.10590913046815, 465.67352401785939, 469.02380769055725, 469.44629961029369, 471.4507457008055, 471.63311060219291, 472.87215324663129, 473.31691645079826, 474.25812822451019, 474.67059947316682, 475.66951907035468, 476.3810985462955, 480.18622231385746, 480.8241227046388, 481.07260978973994, 481.15471650137323, 482.6238154574242, 485.83121546530225, 486.11404061484217, 487.56149205444257, 488.73745013617201, 488.86120390980972, 493.65569327531068, 498.06919088557089, 498.54046643297676, 500.14419730369735, 501.67980439176995, 501.99415835899072, 503.50180566131098, 503.57523133191705, 504.31589710163246, 505.36008023493849, 506.32718185719546, 507.8399389372338, 510.13041675963234, 510.16776753858232, 510.30652519198128, 510.47450333880153, 510.53363621091114, 510.72310560788475, 514.41405374307158, 515.0341492296169, 515.15192817473496, 515.35170943573951, 515.8161802550477, 515.94432413671075, 519.02564843557639, 519.45239924099451, 519.68411836561972, 519.82823388892882, 520.87914498547684, 521.97977228538275, 523.44569725795782, 524.07106632926718, 524.14517341710098, 524.85382903596519, 525.65014110336836, 527.17224999095049, 528.1355634213578, 530.07152503430882, 531.020317315836, 531.73791178164265, 532.15644254500216, 533.04849284399097, 533.19611839362244, 533.60098422747615, 534.18700569567113, 534.23909676142262, 534.39564276637998, 534.77197627264127, 535.07195588681327, 535.82690300464935, 536.08146337525898, 536.91759329485217, 537.50730780245738, 542.46296350451291, 543.00021063247368, 548.5285069847472, 549.3513627941262, 550.91368965310778, 553.71827797258584, 553.76115714140553, 554.63790583628872, 556.88324219719368, 557.48183440715968, 560.5883498859688, 560.73850320204497, 561.87673107155945, 564.98482666059215, 567.26207901862517, 570.95987028840386, 571.90803164468639, 573.52219027386752, 573.62284780251957, 578.89404984139549, 579.1682179914302, 579.3263974586655, 580.53599881440232, 580.73075583728473, 582.65610516540778, 583.53255872510465, 584.06421524539894, 584.68634312425388, 585.09576295540398, 586.08470658245153, 586.13973650823732, 587.43214225476675, 588.18762229468871, 589.24813879042676, 590.8483718280462, 592.65083551937403, 594.21270462544146, 595.47807095074313, 595.79803871762545, 596.33552888533666, 596.6379120942164, 597.25653726128724, 597.32306514583422, 599.70401196582543, 600.64562820665481, 601.14490542391536, 601.48609868981362, 601.94542971773274, 602.8544252063291, 603.5292927088874, 605.62856258282636, 605.69336228426812, 606.22360899740454, 606.48705900173343, 607.46799927432221, 609.30142655609052, 609.79013785123141, 610.35462506756346, 610.40188224229632, 612.14664318328971, 612.581838924919, 615.17760977431647, 617.33120025453127, 617.78112383334565, 618.56129374604984, 618.81742921262344, 619.99093016723896, 620.01522517461638, 620.40568887483403, 620.87488239166612, 621.42569381238377, 621.65394643028287, 622.69873438641218, 622.9384270194663, 623.01159808944124, 623.93453425230621, 624.15434217639518, 625.21730755043529, 627.14262112228141, 628.67234964663453, 629.37939255967297, 630.36475489499469, 631.26271175363672, 631.60246313494235, 633.1780692663408, 634.38793165649008, 637.0321847213653, 638.31162202208532, 638.64567531422324, 640.25163997698371, 644.04302346521763, 645.19791711677385, 645.49994095927889, 646.35443276487854, 646.47647281211414, 646.82657609474563, 647.2762480001328, 647.30423236141496, 647.36947754354424, 647.47550227473278, 647.6007435053873, 648.11924777451202, 649.85710039429352, 650.4496114587663, 650.74374111108762, 651.1823936070972, 653.8594255876061, 654.67920595262297, 655.03639006910021, 655.72960824145343, 656.04141585682771, 656.73916337040214, 656.80457215553167, 656.88019534248917, 656.97657577498478, 658.00626612474775, 658.25569350618571, 660.31939644528882, 660.63043198647324, 662.35448904372652, 664.61210287609379, 666.81025875614068, 668.50605645469489, 668.53669580931387, 669.14448077784164, 670.56738847907707, 673.00224551460167, 673.06122976432891, 673.28925268403418, 676.5050730904411, 682.02048091965253, 682.05212760666893, 682.64622799182803, 683.5670997066585, 684.2507275890631, 685.00645739492904, 686.03752807348394, 687.23073932990098, 688.6160205130443, 690.26039936822974, 690.49273285343372, 691.63845407068868, 692.53302082753703, 694.56197672729559, 694.84588857064944, 695.64099007541597, 695.81936800154847, 695.99192588503411, 696.47771874040882, 697.03902611208048, 698.42304535113055, 698.72708625453458, 699.17260916810767, 700.41915451328725, 700.59187507803404, 701.52007865152677, 702.42395448628565, 702.78873386532211, 704.39838750607942, 707.00529837181318, 707.25295461394273, 708.07484275188244, 709.07055707624568, 710.26793590576688, 710.74301178427208, 712.53743525031723, 713.71396242029277, 714.22513771386105, 714.4879802743144, 714.73367941083404, 716.47430241390714, 718.03482642887832, 718.85572313711896, 719.11250009686421, 719.31857663620337, 722.24657408144299, 723.35707740772978, 724.30099073765643, 724.90996695080696, 724.98053198077025, 726.24105876863405, 726.48705111368804, 727.90620809045288, 728.33757057801336, 729.17495432725059, 731.45564533851984, 731.85533901060478, 733.74492658364647, 734.14833114481951, 734.20128812615701, 734.66637928841681, 735.25501028547558, 735.4607654622572, 736.52910999150049, 738.41062032772174, 739.06566820878925, 741.6699164330239, 743.35735585491341, 743.62519785419943, 743.76026434240441, 745.19646298977045, 745.53370299895198, 746.40625677075593, 746.7753497970125, 747.29647005718095, 748.30028514799653, 751.06758516211028, 751.86954080308806, 752.00917218364395, 753.46859319689395, 753.92168897108866, 754.62697637482347, 755.55954674311818, 759.08782555714879, 760.97164885241489, 763.27633826895089, 765.47958915111121, 765.86790051056755, 765.96193365187787, 766.0643793143754, 767.4616181646827, 767.70894613074461, 768.97844200249324, 770.8629289633792, 771.42924604048528, 772.1762391911019, 772.62212386050669, 774.19950390980944, 774.50126871045916, 775.56884975595324, 775.80662345428721, 776.35530218783845, 776.80089818648719, 777.32578480140751, 777.79031059861757, 778.6961178484612, 781.29631797271736, 783.42124512243311, 784.04136524458124, 786.14764813187446, 786.48458673036714, 786.77604093708555, 788.21404897585444, 789.10562676392647, 789.27974753368869, 791.30904422289109, 792.92340978907998, 793.21501913347015, 794.76979545817096, 794.87943597065396, 796.16532137455658, 798.26621652805579, 798.77972622885511, 798.83228810638661, 799.91133364179223, 801.01899322143061, 801.60410628842783, 803.16062626804694, 804.12059057278736, 806.74411647441104, 807.16642187881212, 807.34704770839073, 808.29251796105245, 809.7642225643441, 810.87008988551543, 811.16012268410145, 811.82797512851255, 812.14105699541312, 814.36745692402894, 814.93383697894228, 816.0428602662098, 817.80901511147897, 818.0584900861154, 824.49031681301392, 824.58394643397401, 828.46881294324442, 829.15516976278093, 831.82978236697193, 832.22227391418062, 832.96452661614114, 834.05183512113445, 835.20061533119372, 835.71938770757538, 836.73645886584643, 838.43875141620549, 839.45287851048329, 839.87224031265873, 841.19036602401422, 841.45541544275773, 841.73371326893721, 842.67435565716005, 842.69620955427376, 843.22639175698532, 844.26998259298693, 845.71654619634216, 847.86259984462129, 848.03146524974841, 850.10899328871926, 851.29923308191849, 852.97360234027121, 853.52525992758854, 853.73492434776699, 854.0062365072539, 854.9904590517383, 855.140916854745, 857.63840359361427, 857.74119486960217, 858.66023973595782, 859.34626514060176, 859.38862113130472, 861.07676934844017, 861.78190196416301, 863.25694036679306, 863.45406962043523, 863.73494581850662, 864.44093767000538, 864.68446277822966, 865.42164971527336, 865.97063103548965, 866.06496703582866, 866.94407186905573, 868.49613115195098, 868.67722810921998, 868.71248733856976, 868.80474768630825, 869.3224625481962, 870.31285881142037, 870.7591734540764, 874.79687869171823, 876.06383104168333, 877.24968968285418, 877.6076820751274, 877.99879231781233, 879.59101307054163, 880.16320746888402, 880.58265483192281, 881.91414774995258, 882.5834165535648, 883.22165510258992, 884.30911715867182, 885.58354488136274, 886.27879831382131, 887.15530429338833, 888.50857936858313, 890.62194616115448, 890.66679144418333, 892.72139766811313, 892.87003661062056, 893.81355286503549, 894.59439522288824, 896.23820909560766, 896.65012356290083, 897.606387289037, 897.71915325654049, 900.25654342637517, 900.52383515461349, 900.66991087710016, 903.48731812269352, 904.04532720529107, 904.75794434034208, 904.91508054654992, 905.18436624303081, 906.87127679601861, 907.96227990571015, 909.56930041305986, 909.73966127101551, 910.07064726607723, 912.18179953769697, 912.60389768353343, 916.69812677046843, 918.21975344366956, 918.28198915134044, 918.55702728352037, 920.09492508436256, 920.49529687508414, 920.8171357929441, 920.96556877469015, 922.15396934663977, 922.87059677130014, 925.16555799570813, 927.80202685674112, 928.37266264626157, 929.31266514241713, 929.33962359300108, 929.39347052987409, 931.74778752047791, 932.61979020958165, 933.00540696004236, 934.23566099402296, 935.48985350141083, 935.63516006723341, 936.24089565858856, 936.68613667657394, 937.61635889953902, 938.880057339877, 940.14980563658548, 941.43778297646634, 942.05999990290513, 944.23762996991491, 944.60158542020781, 944.79510002722679, 945.31017570435824, 946.14904194884048, 946.22599577019992, 946.89890471527269, 948.44979991332787, 949.70692028133328, 950.04656586693989, 952.35564911874269, 953.18780340808291, 953.35348432291767, 955.33218333102741, 956.13393911322567, 956.70044423126797, 956.87580328095999, 959.94319026795768, 960.74688799234787, 961.90534176865242, 964.34752021724591, 965.09292549359157, 965.46606799957681, 966.00740822455657, 966.39079680829229, 968.10779655039175, 969.2785519383566, 972.3405036242998, 972.78018673452823, 973.3192837965006, 973.68307762820996, 973.84780779237121, 974.17963307726689, 974.26110946778147, 974.5531177707885, 975.36135758002149, 975.4008600099454, 975.81307469808746, 977.54357544293441, 979.15846062774904, 979.42236879268967, 980.55372434647336, 980.73466835450711, 982.11387904220828, 982.23845825984029, 983.03399816727153, 983.19083836934419, 984.50667247014019, 985.61213673311659, 985.66728454291456, 985.74017765883957, 985.7755064571088, 986.19855632766007, 986.32327521602974, 987.27906035330318, 988.03851237991523, 989.42613953428281, 989.68476427583551, 989.8583360255659, 991.93995574250778, 992.10758000801104, 993.00364403872209, 994.16875168243484, 995.01837903062778, 996.51180419677428, 996.76065164236547, 997.36122108004815, 998.00337827093051, 998.04324843629183, 999.12127689562237, 999.22132064845334, 999.626288564687, 1001.3089637983066]),array([59.707551911962433, 60.149013704046197, 60.472897749535257, 61.404382685066032, 62.937943505149399, 63.135265339863714, 64.915111482103782, 65.190548363939527, 70.811165044639196, 71.080315206620796, 72.559443062505309, 74.826412445344673, 76.845221101361815, 77.10601052360245, 78.683308126156078, 79.234894094940827, 81.41139869860578, 81.816131736445485, 83.091139226927012, 83.368489296067168, 84.064077507782741, 84.297046496416044, 84.728469630649826, 85.345079420112526, 86.330336326150316, 87.503263497284891, 87.610511638924635, 88.150827723305852, 90.297977250218153, 92.672552786863847, 92.862174203105056, 92.924680060998199, 93.359143807241978, 95.162811172438794, 96.12664793815857, 96.563650714009498, 96.605062062722453, 96.873174253132959, 99.991151976965426, 100.0415794070958, 101.35219320396504, 102.78170203216729, 102.94398229265214, 103.8136419080862, 103.92907724613288, 108.51492264442246, 109.47292369174383, 110.8564499398727, 111.15427887604437, 111.87294990628384, 112.53949364015884, 113.03135377756462, 113.66950657318651, 114.18745771354416, 114.48400246811971, 114.65450967022059, 115.90893212034388, 118.33158101677682, 118.74298775202271, 119.62582323340254, 121.81302774446499, 124.58737588411655, 124.62726695618024, 124.87977751177041, 124.96921977314329, 125.91977773691596, 126.49351790779359, 126.69413999674728, 129.05229158577831, 130.48054768987373, 132.59177771164622, 132.66501053178155, 133.85564725173381, 135.20911386210784, 135.54124908343783, 135.9885134719699, 138.16511201370707, 138.42673801750601, 138.77773458244903, 140.30034272738297, 141.61168542231164, 144.498818008847, 145.20154466384867, 147.26549375367566, 150.4369152158317, 150.74704948662384, 151.10157874887693, 151.32254773590714, 152.29957461849776, 153.74338064697235, 154.38176513800491, 155.18812999468162, 155.22982877554222, 156.49940168559272, 156.8715262431158, 157.70863914477175, 158.36852155779667, 158.81136560407384, 159.12295462996343, 159.90540590739104, 161.2810992198869, 163.58565455035836, 164.38833456652267, 165.58746199342386, 165.77573611429861, 166.2669255235684, 166.95896163711956, 167.71002948637695, 170.00544092717985, 170.28945240930625, 170.50237058411565, 170.65655885881469, 170.68533089728999, 171.19594993147345, 173.55221075768841, 174.06978160586294, 174.99137989341688, 175.24329718206025, 175.85526123294693, 177.48950894247818, 179.86087601849613, 182.10296883343571, 182.68711015901101, 183.08832271121864, 183.30616899144363, 184.26572098783495, 185.46792988494647, 186.37405798516306, 186.87787415535129, 187.08297910140658, 187.48416431890985, 188.08778681676407, 188.33009406775307, 189.1207736425732, 189.98037398035527, 190.78927886871037, 190.99770022805788, 193.09862121278536, 193.3423391714426, 193.59533908370156, 193.63678549385244, 195.31641929305826, 195.61199348572359, 196.9345363034445, 197.13178176703548, 199.60919118333598, 201.40075373637742, 201.7291157835885, 201.82410073420638, 202.93523603074331, 204.29573235305656, 205.13046240396264, 205.19298652035184, 205.58432611963022, 206.65007494870409, 209.91992735762759, 210.34108772925876, 210.5260798513041, 210.77252690081298, 212.13327573274131, 214.32574579107867, 216.06166680164415, 217.26225652942765, 217.58012551413466, 217.9601578902606, 218.24067056555506, 218.8792926650884, 218.99974359788868, 223.69688648864596, 224.14354838362871, 224.17362638747213, 224.79462718078699, 226.8309752963014, 229.72174058591341, 229.77072992004548, 230.6664187414799, 231.36798910566881, 231.4794307461593, 231.56354937139898, 231.9490521847593, 232.94382283800141, 233.29426730064341, 234.29298783153519, 235.15448363864212, 237.35605155685508, 237.91275387336358, 238.16978411121909, 239.40974810851444, 240.59443941035778, 241.00488931075404, 244.85301594748776, 246.97191398522372, 247.5677630850694, 249.59041656686912, 249.7894033802078, 250.74862181247926, 250.88827343946076, 251.91329882489549, 252.91353246698898, 253.20053385324795, 253.93256033108639, 256.72040610705835, 257.69043810166346, 258.21926699506253, 258.45031169318719, 259.3428026954569, 261.00491803631934, 261.16611315071475, 263.02621797704791, 265.64808515615232, 268.20038584874578, 268.81691765920357, 269.28161644821444, 270.61268271167637, 270.91178033886945, 272.48962443001011, 273.38389795263396, 273.71242034842061, 274.41377096677894, 275.99257048123968, 276.83079935985762, 277.92018108209908, 278.26945349970708, 278.71916690239919, 279.27167833063481, 279.92943636305046, 283.37836188606121, 283.83476204889433, 285.05165197644772, 285.83323449904981, 286.90327254767453, 288.94229220642512, 289.17052694521527, 289.58196467309602, 289.76132002671227, 290.01650393650431, 290.23831487600734, 291.00827943953703, 292.06107230005216, 294.86745731570517, 299.91706461415663, 300.92137185490611, 302.65986818950688, 303.74192298852182, 309.05426572472243, 309.38377041058368, 310.40889238364082, 310.60048162071502, 310.80597665288411, 310.87890242550174, 311.42941314315112, 311.93352804289009, 312.08908715054059, 313.61011875454858, 313.89529354400605, 314.95579908738904, 315.00227705305019, 318.35920308992974, 318.85171852010586, 320.12369779151692, 320.85401890123393, 321.18698716241465, 321.69466298685313, 321.96508713954796, 322.1441678240206, 322.95929660541077, 323.60966279259861, 325.25824252063654, 325.3183482398457, 325.49680260299851, 325.71580918889663, 325.87883881559924, 326.30304271628415, 327.01532374290258, 327.3196550953183, 327.99523454150528, 329.5635965477278, 331.40267789695281, 333.53605436328826, 334.41202530194124, 334.83666807310954, 335.24933400677645, 335.58096581247514, 335.80228119176689, 336.62184550643332, 338.49954785402986, 338.91663901518763, 340.74684764916657, 341.07065137726022, 343.50702131322129, 345.8907705547831, 346.80683735370735, 349.52576550186706, 355.03288617444804, 355.31411828044497, 355.76323758677694, 357.83927849698563, 359.06546122033131, 359.85430290204124, 365.36859176109374, 366.71784684425569, 367.15167352067147, 369.72817552911192, 371.64791049520488, 373.0450277839642, 375.01591097867185, 375.91795648432776, 378.09502053521476, 378.16853162160817, 378.69256309372651, 379.52875786145944, 379.70758160161779, 380.72529680329365, 381.28549527170873, 381.70153811547192, 382.26085621955826, 382.67549844589917, 383.52952007218386, 384.57706353102259, 385.90120321032322, 386.73619909693826, 387.70705479592868, 388.34443576927572, 388.69870685187215, 389.37696623033526, 389.6126042775486, 390.99057570222129, 391.54410961639422, 394.31612993260933, 395.0347112123797, 396.29939229862123, 396.94352396507645, 397.13379899197986, 399.73376077640035, 399.94249556446982, 404.13788337355049, 405.08906066259448, 406.20672236668634, 406.73551280392167, 406.96793179242849, 407.73024365180271, 408.09939107642299, 408.373444903012, 411.92517118356375, 413.9602411049554, 415.51878985178303, 415.89477466722514, 416.37177862942764, 416.69899817705993, 417.28128757364976, 417.50428193414564, 418.63110319872607, 422.97931540538627, 423.29167091191829, 423.53424058646999, 424.61102703583072, 424.82296297949847, 425.28577831051615, 428.28786128078889, 429.59837591377249, 430.93060273060962, 431.35105885782764, 431.86994286683444, 432.04788977270124, 435.23392846922457, 436.58626548373491, 437.66471126962188, 437.71494678581757, 437.83442926144602, 438.34867238295504, 441.08946192143731, 442.69314335434581, 442.80828744304318, 442.95228466040032, 445.41898305554378, 446.10657432396459, 446.36264508666017, 446.88152790673394, 450.89501076079483, 451.33563021181249, 452.53552104384505, 452.61437527969542, 453.27128322869163, 454.21810536756328, 454.38828897728683, 455.13102643173136, 455.29325284263001, 457.03646334827641, 457.64570177010523, 458.62980544602971, 463.04567449048443, 463.36616984319596, 465.08397047729073, 465.17437966024102, 466.60400047719804, 466.93907275988539, 467.35971269274512, 470.18040629335712, 470.77719970961863, 470.92750896925963, 472.95139245477958, 473.92518691155294, 474.94850701854284, 475.4635851199958, 475.91049243908981, 476.60507722656104, 477.20468616497737, 480.04091416667387, 480.98843157348261, 481.11639183188606, 481.44834796116265, 482.06659408735089, 484.76630921402921, 485.04505474542395, 485.52469373323453, 485.62277055541313, 486.46411355560508, 486.89756291772409, 487.36524594983638, 487.74185928589179, 487.78425922027282, 492.74508014444007, 492.83996043616537, 492.99195350323595, 494.95991884218785, 495.35860262242079, 496.85045271069623, 498.32543550021637, 498.78272336898664, 500.0669850103402, 500.11086670611866, 502.2806368422323, 503.04082464208716, 503.89301523027814, 504.12247016487237, 504.69276541047327, 505.65988165390439, 506.09225005847981, 507.37692433749851, 508.00385405811636, 508.68434304188463, 512.06135890962344, 513.85150084720124, 513.97501693693391, 514.83619292021012, 515.36746084022536, 519.52875103678821, 521.09591449077902, 521.23925473905649, 522.24269990230198, 522.84518616873163, 524.38366841434686, 526.90979987652452, 529.33086683082536, 533.74522095487896, 538.0542752622606, 538.739431589162, 539.05605091958978, 539.67050536009378, 540.78853239321347, 541.1249911088272, 545.30838417866846, 546.19434561272271, 546.26107108708311, 546.91298198372067, 547.8256945228527, 548.08825222548933, 549.88884625677042, 550.12860922949608, 550.65724986931878, 550.7227026751699, 554.19749823112784, 554.83644962086851, 556.79991256985613, 557.64639300559179, 559.04158439075468, 559.92768133518564, 561.59311660247204, 561.6223715772303, 561.69396381526724, 564.53267308510351, 564.98695169961206, 565.30441847626162, 567.14024875292921, 567.33605616321211, 570.24634873035802, 570.44500583759145, 572.68784909170938, 572.72064514735484, 573.11573642509893, 573.64143914667113, 574.18331237816551, 576.15655285610922, 576.20242898890569, 576.60101701525411, 577.15852162936017, 578.97082293693654, 579.59310817648384, 579.63112542904173, 580.12016224643287, 582.38038567982198, 583.2837175731205, 584.33364100084214, 584.68991170996685, 585.38356749240177, 588.24458774241202, 588.42301553460447, 589.38193041381305, 589.43660749976709, 590.5687059560056, 590.75822512744458, 591.89788574409852, 592.6504045565033, 593.10823770352999, 594.38527119468233, 594.71033065005849, 595.54286322026076, 600.14444604794608, 600.77151593181623, 601.38260458637933, 602.4022504741589, 605.86533140371876, 606.20350524964385, 606.39115310649538, 607.34231854067036, 607.40136447832265, 608.84165571452024, 609.15113326222354, 611.33319971608319, 611.3725048471531, 611.64076644615511, 614.34465449894014, 614.91870852587545, 615.02883083220297, 615.82033053071302, 616.34134542718243, 618.23998998287243, 621.66530934347725, 624.49687950021166, 625.73828720776089, 626.221746766774, 626.83927594319709, 626.99759474253096, 630.67866389636094, 630.72542127408997, 631.10045366380882, 631.53166891677381, 632.87798145216618, 633.93609595330895, 635.1957300122167, 635.45580364749844, 637.95029422073026, 638.38507707548376, 638.77454858247154, 638.89830767365106, 641.38116956615113, 641.8988196577269, 643.95490505438829, 644.47372067955871, 644.5046387477538, 645.43426212414533, 648.78812260775715, 649.69638092536582, 650.49086457601356, 653.37835993552346, 654.08199864357209, 655.11743340542637, 655.42990576836644, 655.78499323099845, 655.96890900456867, 656.22412343350038, 658.12215950990867, 658.45012070227051, 662.11916921421368, 662.93644456395646, 663.68963946121391, 665.25749412065625, 667.91480961610114, 668.69587685538556, 669.20599402732569, 671.43127200977437, 674.80054169649543, 675.25051342771451, 676.45732191010188, 677.51242977346374, 677.62909469709996, 678.30076907721832, 681.0758653867382, 684.3829805603466, 685.78622609712784, 686.92947016015967, 687.08658108076997, 688.28900641180689, 690.73920651217236, 690.98445330149332, 691.25203777300339, 694.172736644667, 694.33668130880039, 696.99952359125689, 698.00379064963545, 698.82355480734475, 698.91538700766318, 699.52192756382419, 699.81193797497849, 700.02241034731799, 701.7602588299635, 702.29486629458586, 703.83832253521905, 704.27107422903453, 704.68384024445993, 706.6162035293429, 706.63713325547087, 707.41124509407825, 708.32539226722429, 709.59862356129315, 710.41715797271945, 711.69279773432447, 713.66539346748664, 715.12844295812613, 715.20240789723721, 715.92004422975447, 717.69451440220519, 718.83849245953286, 719.78305167475548, 719.86350511456897, 724.77840064605857, 725.73696275637735, 726.29742652258562, 726.39269792346761, 727.14883378125012, 728.53028062578926, 729.60424408340805, 730.25876959818106, 740.0606024975657, 740.59039677699741, 740.97884154887947, 741.59615704974749, 741.8640360316723, 743.01814813733597, 743.2414377898466, 744.6916132733835, 744.97890922150555, 745.75251760292326, 746.91134071347949, 747.25340129496408, 748.35722800566055, 753.17716495149682, 753.34443190560228, 755.97152275882775, 757.06810186535711, 757.53021050660618, 761.06632792312178, 761.77496792420993, 762.0146835718491, 763.10952165629203, 763.40927105826495, 764.63243812117298, 765.05283078678087, 765.85381204932298, 766.79881813491488, 767.52408657738397, 769.34007741147013, 771.13058346703974, 772.23305227361607, 772.79912719471247, 774.64238216123397, 774.80321726618888, 776.47128002916872, 777.38359666753229, 777.40624160746347, 777.75962810460146, 779.357194482826, 781.12031505517473, 781.37530460772825, 781.91493223280793, 783.69721009395596, 784.07121182085143, 784.99440973724768, 785.79318612473821, 785.81662172584095, 785.91300515476848, 786.13158773747557, 786.24199555863811, 787.12094391739265, 787.52808079090937, 788.42453550472328, 790.03699691070653, 791.23417792171551, 791.55283264548586, 793.0655830901145, 795.27379337728428, 795.96849905462511, 797.88809529711239, 798.8978927770977, 799.10809504826705, 799.77079591386314, 800.99253688785859, 802.03920165733155, 802.49892588152761, 802.82987610701946, 803.70226044735148, 803.91372275213553, 805.05773192537345, 805.61643578425003, 805.75476074703158, 806.32712384701028, 806.36222753798427, 806.49321464349612, 806.89680013982525, 807.61693905969707, 810.19693361438738, 810.23664334603063, 810.46382984571312, 810.58227743974089, 810.9581890182626, 811.08630366818852, 815.08953827372113, 817.51799815342883, 818.30629430447777, 818.37443056463667, 818.61107163783686, 818.89626147303795, 818.94346353177275, 819.23001740648556, 819.2812411366848, 819.77709998955709, 820.19466987670512, 820.45303029776937, 822.35142665245849, 828.55091221807993, 830.516721759593, 830.90013219850903, 834.37303632846294, 834.49306777822324, 835.99312072425425, 836.60070214307052, 837.12420281560037, 838.23460952889377, 840.51914697596135, 841.60248097092699, 842.23569392848333, 846.26610758720926, 846.65961721427777, 846.70273941915752, 847.56392744866241, 848.0400640960969, 848.7065301709323, 849.44768308277139, 849.8521434580739, 849.90055228252174, 851.57866248220239, 852.21535830819096, 852.4956369217133, 852.95927113328435, 854.28227578832559, 855.13970920479596, 855.24315358131503, 857.93731043577691, 858.18405840667583, 858.50943633044596, 861.26262045823546, 861.8347761011097, 861.93072702244001, 863.62129222923215, 864.40525328680292, 866.2252501405286, 867.36902551222147, 869.96979062836272, 870.33485107291222, 870.35933077002073, 871.04649694057491, 871.39869845871067, 871.69877894664273, 875.40390286988691, 876.22511872952862, 876.26821736903685, 876.6712049010797, 878.18418787289443, 878.80336162601407, 880.24485383243359, 881.98091556005193, 886.22412693267506, 886.32472239878564, 886.39666137290726, 887.3950235004944, 888.10269219771055, 890.21557903040866, 891.83966028928421, 894.24289742464077, 894.97065992134844, 896.91474635307327, 898.2559215122036, 898.28478833428994, 898.40049636880917, 898.73597270612163, 898.84405048659585, 898.90346544444537, 899.87095129793715, 900.67523915074264, 900.73509836316248, 904.57615295223081, 908.12730221244294, 909.57710608014941, 909.64088096123805, 909.68294069500575, 909.81365888278685, 910.84918151594593, 911.55236807865504, 912.30788469086576, 912.47425664983427, 915.07270935784777, 915.26230306097148, 915.44526743454367, 916.68087041689682, 916.83887381648435, 918.56402992928224, 918.88085646274465, 919.15782730952787, 919.70151951579635, 920.12142261251438, 921.11888648257241, 925.36395408257215, 925.71089419419161, 925.84256857547075, 926.34650721146534, 927.34590011284456, 927.59130866931844, 928.12106759497681, 929.22176613740771, 930.26099666584935, 930.67677117563733, 934.99309960631456, 935.98293589508285, 936.36279506126141, 938.4420751749276, 938.56713073293383, 938.68715734039631, 938.83029609362177, 941.96126990880646, 942.24120549571762, 943.23200926500124, 943.66174877085098, 946.57930062341904, 946.60316076718175, 946.82913223273704, 947.00859770101579, 947.65221323836295, 948.25622210829636, 948.3716940083284, 949.59447512359748, 951.3235532398802, 951.4255628593138, 953.96696861404951, 956.19433286951437, 956.78806622400111, 957.87232045636347, 958.15694943487233, 960.32915612233751, 962.7861031891623, 963.39232588644222, 965.82590806202654, 966.99557997101385, 968.39989801721003, 969.540640769878, 970.07100560096592, 971.05130922412479, 971.30308868694351, 974.33746598125106, 974.48882380971691, 978.18509548175371, 978.8287287754772, 984.15354191694018, 985.3308819770665, 986.49784876010631, 987.81271356824095, 988.07617430615301, 989.81404120357445, 990.18805666012929, 991.86607354894659, 991.96103311032653, 992.25093668568479, 993.43193837169838, 996.04855488197882, 997.2605999053352, 999.3716015945688, 999.67011391750282, 1001.1220026752843]),array([7.3292165613199405, 9.5062832805097521, 10.135539704698573, 11.438161478743188, 11.613093470893585, 12.712433457467425, 14.981168547857783, 15.761079630824311, 16.339362209900287, 16.360298546985124, 18.612696534304696, 20.511386033110028, 20.8396797840476, 23.477149906521959, 23.788975594383754, 24.301588429391654, 25.908884190586001, 25.986332266296976, 26.464853720276384, 28.382722177961718, 28.719755849229728, 31.206349513262026, 31.949369918296906, 32.961287041358055, 33.069096464789844, 34.682009387791709, 35.12426896814214, 36.98644497215988, 37.308461414355293, 38.98389672981078, 40.648653101975007, 41.248195400244967, 41.487083042115721, 42.055012633388067, 43.045647209859901, 43.87156784295594, 44.614824415331476, 45.830901777299914, 46.05892040148435, 46.233594284300118, 47.508051229352482, 49.013190412593836, 50.472053504953514, 51.821396631924834, 51.977288434825731, 53.456767215326636, 53.686091351600865, 56.727941253687419, 57.592553436211787, 58.995509135009407, 59.212367656527334, 60.019326958152028, 60.562020658699595, 63.806235073594266, 64.034610484155522, 68.743273461284289, 69.02277522693268, 69.239255565102852, 71.139876098607488, 75.681570347115183, 77.797187397321366, 79.791668427906544, 79.910602402441, 82.924377934619528, 83.998531300189711, 86.477428269215764, 87.664562075394116, 88.98098016972672, 92.18750860005342, 92.560758320690482, 94.770886973291439, 95.132250717301559, 95.468858804715126, 95.698099784082899, 96.109267886372947, 96.143783985759555, 96.35770756733541, 99.788542209367307, 100.11780330581588, 101.3274652065959, 101.60524299168918, 103.15984128602518, 105.60692087209829, 105.93392235883705, 106.17429325668348, 106.58721906659953, 106.82101142532014, 107.19995943841504, 109.81093249103499, 110.02695022037511, 110.2501570518141, 112.93019433616966, 113.29168168416059, 113.87722189537274, 115.14703541368654, 117.22416319573928, 117.49397516953108, 117.63619512947191, 118.10895403575095, 118.4186013459119, 119.23017376480713, 119.73785018375544, 120.31255007502921, 121.20088607014752, 121.71240107145114, 125.69361882692978, 125.76665438000167, 127.47059351490273, 127.70112082167282, 128.26021464059383, 128.83589674086465, 130.6366719187657, 131.91898793675188, 132.59643238992132, 132.74132283995908, 134.0589778000286, 134.82169049962206, 134.87564637199196, 135.38902892306743, 135.97997989829122, 137.538260034019, 138.90467689594098, 139.49828016620165, 140.67164325937364, 141.09552560868954, 141.27094075727015, 141.62378074780253, 142.97749993610444, 143.20697308312171, 145.31748637639848, 147.91653237318764, 148.90000960035314, 149.55301267983364, 151.13137085091498, 151.21594011445472, 153.04768900562149, 153.14912758946457, 153.20028452419186, 153.53212780627379, 153.59723091948868, 153.88455916262976, 154.58454815323097, 154.93279296788498, 156.66615901334544, 157.2285731235246, 160.38730672932738, 160.67116125334474, 161.36592162796705, 161.41956103054747, 161.95115089157014, 162.01408561670979, 162.61953518161846, 162.9266095979992, 163.82640035465977, 165.45584218550914, 165.78260999290274, 166.2680998142811, 166.49765294514776, 167.93350923717983, 168.16479503828458, 168.61761488806368, 168.66085411947199, 170.34869683945874, 171.80405493788683, 172.02239870657382, 173.44551280193045, 173.49256762001318, 174.29402686941438, 175.79083257646536, 177.52005794326962, 177.5876936148471, 178.25788917913269, 178.29699182674162, 178.50236812990147, 179.10621639676401, 179.23391223862885, 179.34240364123801, 180.18536352733315, 180.35141318949729, 180.42270316192935, 181.91506425777871, 182.77548139219343, 183.94985266769274, 185.20453356876033, 186.76385043275329, 187.43887708630885, 189.54114743457347, 189.63665513126824, 191.9114734962146, 192.94398523878692, 193.32271702621622, 193.76572368405448, 197.67983561006238, 197.70173359525782, 199.23016216416033, 202.46128736528055, 203.33236905210049, 204.28478851465161, 204.32034932688745, 206.12758083393933, 206.65539108878363, 207.25916487656028, 208.58880130510164, 208.82099389750047, 211.55728778989041, 212.13945131935947, 216.02586002856714, 217.06984243385216, 218.50386660939932, 220.1550283268044, 220.68831016526187, 221.3228918261546, 221.60189154125166, 222.34850618858661, 222.98115475960287, 223.24568965773895, 224.16922222160113, 224.31622986956137, 225.18701036879364, 226.48871238330383, 227.7759734215208, 228.88112483803073, 229.16406823069161, 231.29907658504072, 231.96106585589536, 232.07842383482128, 234.0938565333291, 234.40589424777338, 235.15846845112162, 235.70190188846675, 235.72586316379264, 239.84306077929043, 239.8726531163814, 242.27181413495174, 243.34727244065743, 244.90426200447649, 245.81385159241182, 247.47535087922182, 249.50974567036812, 250.72343071002348, 253.49066544309343, 253.88056437759479, 255.18645991940542, 256.3594666907818, 258.02650956910696, 258.5591113950245, 258.58194719082303, 259.08860086571815, 261.22663043961722, 261.32525695176275, 263.46144654173793, 265.12469337872, 265.65333392401465, 266.16635793345642, 267.43033327569543, 268.2703464458279, 270.37451326348707, 272.02640496340803, 275.71905295723252, 276.29261166565988, 276.54812395056524, 278.24354286984487, 280.9949791621317, 281.5664944033503, 281.74440374118376, 282.362602376604, 283.00399720201386, 283.20687249511428, 283.42225729971835, 283.92831322288708, 284.78415760285458, 287.63819226840809, 289.22154609743939, 291.03456727354336, 292.96278103141896, 293.61699005914147, 294.09021030037331, 294.63010498321654, 294.77375099346398, 294.79543869205224, 296.62353430440277, 296.66365689487623, 297.19975841116349, 297.38777728586717, 297.51282100951573, 297.70774166954806, 298.37188680941659, 299.73161504173129, 299.8392632544394, 300.5858281382944, 301.32609923662579, 301.65608067963444, 303.87509889024227, 304.08670835267083, 304.34814081610534, 304.60922996897483, 305.39310525860435, 306.38192000433207, 306.48902457064759, 307.39390111100585, 307.60134089207156, 309.43132100955421, 310.12025585451647, 311.36023247490192, 313.18994516191856, 314.16620864875193, 316.44373985228674, 316.73745535554048, 317.32061236725372, 318.51619940646611, 323.89513316099857, 324.29658254811085, 326.66721416579952, 327.22577594832541, 328.00145637565765, 328.23860877956224, 329.54208251062664, 331.58885136145062, 331.91446055232831, 332.42928239546876, 332.7549369581821, 334.23872795324144, 334.29531808837152, 335.93774310260466, 336.27584968394257, 336.30883727232498, 337.07516398488474, 338.55881910471902, 338.67347339824454, 339.59268253359136, 340.64918690661943, 342.60031662878799, 343.78351966615458, 344.03594516647536, 344.14359454632944, 344.44359100623478, 346.08406535172514, 347.53454401240566, 348.70568083532072, 348.98790381373919, 353.47861084998362, 353.82112706318458, 356.60845830892907, 357.93375243026554, 358.09846249257242, 358.75243988249343, 358.82434473944016, 359.01927678889803, 360.53870982473433, 361.22958155797943, 361.93853151958757, 365.09779196309455, 365.65765896328332, 366.57207812301368, 366.62716384244442, 368.59348115797911, 369.1352076822053, 369.7674886614148, 370.0095996502094, 370.3388693623163, 374.0556987999629, 374.53475853166429, 374.71167130308885, 375.4397179063011, 377.18413893774084, 377.49924784470784, 377.59390937328493, 377.99325348822123, 379.44769555489501, 380.38161154597861, 381.33390685406135, 381.86114420375009, 382.9121344429779, 384.22073212804389, 385.32363659612776, 386.44692392324788, 386.75179464423906, 387.20105748931934, 387.27101128215418, 387.3402258449986, 387.82909743230147, 388.80511691437459, 389.47008623775633, 389.98581142960927, 390.35284690188837, 391.14273517798415, 391.91289300376746, 393.13603550809489, 393.3620384272815, 396.36810121705503, 397.05221290064713, 401.04813627015801, 401.86528222280464, 402.05132773536366, 402.33070850937173, 402.80012880123297, 403.97827716135492, 405.07957214294447, 405.52624145346437, 405.76975555845723, 406.34761852135046, 408.12742502895719, 408.67023642616601, 409.35746095763818, 410.19213231532524, 411.69595305782559, 411.81349417755678, 411.98995456741068, 412.7085065663311, 413.1686592465939, 413.31487362413526, 413.87990478040956, 415.73644492644621, 416.37639136009938, 416.86600222919583, 417.95560458091649, 418.90755451494397, 419.75559033216018, 420.59512348246818, 422.42029034549131, 423.84425235905576, 423.93098480023735, 424.16974734833781, 424.85609430422193, 424.91138650578569, 425.27037465346126, 425.37366687552736, 425.48158948689303, 426.24598876580632, 426.30259276875506, 426.81190537709858, 429.66531175794449, 430.38850440830186, 431.75937238664005, 432.57191930432975, 433.80937575021176, 433.96384388717757, 435.01354084379983, 436.32110647762613, 436.84133573362385, 437.27482891161043, 439.08335093716516, 440.13875388151615, 440.82870340866128, 441.04974894246368, 441.91882447696423, 442.62060240389678, 442.71776104658238, 444.0313343778642, 444.67352739334268, 444.75239371614549, 445.4497152245566, 445.5453001716279, 448.74620773582041, 448.80427279571484, 448.91748429206206, 448.97010788207217, 449.02927653935967, 449.09737200699101, 449.41315711068603, 450.87973820264568, 451.66867252707959, 452.72290679523815, 453.06721697724635, 453.27276393896773, 455.399133906077, 455.80809048713803, 456.0724618076157, 456.64041651958337, 457.87188421188534, 457.91498426956292, 458.29587205216825, 458.58981771942149, 460.00319222091241, 462.60178871840634, 464.51925615429627, 465.08288286694858, 466.03402224296519, 466.21890310759426, 466.98696105945555, 467.94551885230311, 472.1438073733139, 472.47632420614309, 473.23506948748394, 473.71151516913932, 474.61079181198158, 474.78279334222896, 475.10589842204627, 475.66980501182985, 475.93788049746883, 476.6313836255506, 476.68964188629144, 477.23161442876631, 478.68744003371933, 478.7835829416606, 479.29147446040452, 479.95648836621615, 480.24251595223114, 481.61296974423061, 482.08352300220264, 482.43335880946034, 486.53619733240936, 486.97966900503837, 487.30196726392842, 487.76147562995061, 488.68997346377557, 488.84149634474159, 488.88085128607111, 489.64143416721492, 489.862842628029, 489.95720679752549, 491.28065142297862, 491.62942681370316, 491.98380669379941, 493.54150099608785, 494.85323205253866, 496.51237520752403, 497.03547570597823, 497.50115153883172, 497.79031889814769, 498.21375119775053, 499.00311671176405, 501.36953758181357, 501.76190173251041, 502.04928790980659, 504.18600465079112, 505.14024907431707, 505.20837444392953, 506.01682454606367, 506.49842439874493, 506.87975811003309, 508.38368887111614, 508.79357030279328, 509.63496049584546, 511.56697292530396, 512.00681458913471, 512.79273870710244, 512.98210392647889, 513.37009971152509, 513.43024243708851, 514.75133596900434, 515.19122562440896, 516.16695628226523, 516.39218160657356, 516.70758958424256, 519.56885937416291, 522.42704381549095, 522.82395573752706, 523.5474824302853, 525.1764704528041, 525.4936181394163, 525.93963059256373, 527.98069659129669, 528.40706122149561, 528.95410152572458, 529.34145735622269, 530.41808207107795, 531.41196676417712, 531.80671245655503, 532.72167905905519, 533.58133848151817, 533.95086926834267, 534.99933718554564, 535.43696708181676, 537.00127906479565, 537.78802147036606, 539.7985543261849, 540.47682778290391, 541.94991579278712, 543.70782814101528, 544.26013160650905, 547.24648815099852, 547.68505044123253, 548.14469366705453, 548.68440255183111, 550.52813185273624, 550.79341392417018, 552.09344737639617, 553.74860886672627, 556.25128446498218, 557.41837974831958, 557.53304024652277, 557.92815497603362, 558.0707200177975, 559.08779735785401, 560.06093573168164, 562.39181977634473, 562.66883836986733, 563.28027564429613, 563.57893744652415, 567.34497387860006, 567.6294549356835, 567.9526794952817, 570.22283104326834, 570.54483923815224, 570.78777231607967, 572.07518111740785, 572.15272718204869, 572.22492146641036, 572.59168586347448, 573.61588181610205, 574.79499857584119, 575.63711098496879, 576.93059322144506, 576.9698907400782, 577.11196683748722, 577.3462099242181, 577.58519972782017, 580.97354798953779, 581.20464355208401, 581.8030933541379, 582.39367470066315, 582.4667227178121, 583.45000867282442, 583.72197129329584, 584.03157044957788, 584.97994697993397, 586.0740944877117, 586.59238033486258, 587.89101503265942, 589.16681443430969, 589.88412242292793, 590.16561817962202, 590.67914939661273, 590.84296041153891, 592.02836742602165, 599.60643409136094, 600.06019321726717, 601.03675460974921, 604.09511060390594, 604.24415232222429, 605.9649811422712, 606.48355598380874, 606.60701088554254, 606.91280773579126, 608.24422423556541, 608.65376152036606, 608.81900608304329, 610.3636855452346, 611.1762820312432, 611.46326354758776, 611.58149922766904, 612.74742155629326, 614.85958957499895, 615.1025997702875, 615.56909251707623, 616.83589851480588, 617.21537560608988, 617.93113745149162, 620.01437623498532, 622.37437293483833, 622.77873559284103, 622.81100412501291, 623.3750041348527, 624.73055463640037, 625.3787661973895, 626.62307894363698, 627.24552939229227, 627.60410198796058, 627.75160626101615, 627.87208679037792, 630.81778506724731, 630.8855890313348, 631.65237027548881, 632.0026548479924, 632.16459976132103, 639.27639634524758, 639.58729888006167, 641.51693458867248, 643.97457872501423, 645.35648265479426, 646.45467718651378, 647.53074213574109, 648.71289545769423, 649.27527479428488, 650.41470810367207, 650.45512407342619, 651.30693611958679, 653.71890051312585, 654.21129227497011, 654.41425177817507, 655.39496912612049, 657.1002118178634, 659.66768804805406, 660.26500151112259, 661.32452013693285, 662.8687656842003, 664.4837454494691, 664.52289194203593, 665.08621945715663, 667.92134258109968, 668.30474703354503, 668.44132751900429, 670.25044756393117, 671.48795314436973, 672.22334943359465, 672.9690154729966, 673.33029640919494, 674.72230469370777, 675.41749846215134, 676.30252151039315, 676.94122310122816, 677.46541419641972, 677.52451686105667, 677.70231886354588, 678.38242040054104, 679.02536863183434, 679.11316097464169, 679.36014912628593, 679.56196103446314, 680.32722195802819, 681.11646836466753, 681.23111844778055, 682.60820195582528, 684.15685608522256, 684.32968581629484, 684.87017275157075, 684.96508553989747, 686.6392546714942, 686.7178755580461, 686.8266863534709, 687.14490714244732, 688.96412208855907, 690.04321986655987, 690.42317492940128, 690.79233191377784, 691.70868413934522, 693.01773366294594, 693.36638348376346, 694.73404264213843, 698.3541190004604, 698.77126070957524, 700.4313792954058, 701.03915767188926, 701.99263163337775, 704.95196983721564, 706.81619792215258, 707.98536349660344, 708.60593193093359, 710.83152704767826, 713.14114741895582, 713.96761045551864, 719.10198307176904, 719.41530054550117, 720.26028316905115, 720.67373187838939, 721.23554416449144, 721.86882418446589, 724.14967602186653, 725.5312319306488, 726.15775207230865, 726.69763610499297, 727.75198689280455, 727.93031842504161, 728.99676917983254, 729.20142642770293, 730.13946107960498, 730.78590923518868, 731.29584980138804, 731.81265618654061, 734.10687986189475, 736.45793839555529, 736.6300702973673, 738.76721222839433, 739.23240591771014, 739.2628457215219, 739.6068144811735, 739.66770311473761, 739.73764728235949, 739.91473596194135, 740.13102243140486, 740.26739955722485, 741.07148350269051, 741.47955300469789, 741.6194423264875, 742.38004502122396, 745.32147090929436, 747.47342867557029, 748.406525136244, 748.73343265033259, 749.03164288957964, 749.73663281151198, 750.38569119255533, 751.27488624762464, 751.59764104781232, 753.7173183090473, 754.79439042536933, 755.15610925156761, 756.19079408073787, 756.66075627912141, 756.84182585462702, 759.32041037710269, 761.33318692850673, 763.78581157853012, 764.97199561042612, 767.12337289054676, 767.45226519158246, 768.0181058633126, 768.49294644197289, 771.37199909791264, 774.59274583925571, 775.25324672630677, 775.43224759471627, 776.08470873242902, 776.91965945656352, 777.60946014073443, 779.16500764415923, 779.71756196505783, 781.59733151638034, 782.7871844851428, 783.40744634238297, 784.46038173243278, 785.83253058024934, 785.98683518457983, 786.86995106885684, 787.41330779151485, 789.34904928288358, 790.68766580286729, 791.09116626840671, 794.60167653227143, 795.98726877965021, 797.22151903737461, 797.32509911850377, 800.57495501152675, 801.06144928304195, 801.83075359600889, 801.9020548815763, 802.49454040574881, 802.71666046334644, 806.81053298710447, 807.42015108091709, 807.85361091698439, 808.38009096974758, 809.67095733493454, 810.68350538211098, 810.85882911532269, 811.32720073931273, 812.44853481323514, 813.18947923683982, 813.94464644023606, 814.05869283872141, 814.12554414863246, 814.90521442643751, 817.7114344802319, 818.1384689795525, 818.55018614224923, 818.79408482386611, 819.21425315441661, 819.95640049159545, 820.93716342326093, 821.09603293427517, 824.86054850170774, 825.82930221993354, 827.33865048470125, 828.02196862510175, 830.22417288395047, 830.36885080944512, 831.32629157732947, 831.86133833633664, 834.62440459489653, 835.30086178637407, 835.99630709871792, 838.52675799848316, 840.51430609351962, 840.64472329963519, 840.83792065282876, 841.10860430843115, 842.39565712185333, 843.59426501744349, 844.19157557186531, 846.49252474193986, 847.41526076406092, 848.10819790405196, 852.51624527460763, 852.70826726920882, 855.55032799072626, 858.45669388558224, 859.12736382288779, 859.21031294947818, 859.96947322639414, 860.25799356190726, 860.91163307740533, 861.02834456590324, 861.75416240665675, 862.64221799884592, 863.2294735077038, 863.3386066842213, 864.67887438071557, 865.18178652710822, 869.50153618986894, 870.06850496613936, 870.20127444758259, 870.27281421647717, 870.60089921484587, 871.59306284475952, 871.9083125632709, 872.04454008551488, 874.39421122418003, 874.56634794411866, 875.5910658037742, 878.49656093235035, 878.84609886204885, 878.95694606355994, 880.1793595362509, 881.09989124021138, 884.7023345388759, 887.57402429563138, 888.82249216735534, 888.90861138743696, 890.89727602603693, 892.09948499934808, 893.38683183310422, 893.89966263834242, 894.0070748916894, 894.10003792710347, 895.86364003586436, 896.18866009447402, 898.60622171214902, 898.92414876902956, 899.00572089924742, 901.53508876181945, 903.09862612009692, 903.23006156715928, 903.96066610628884, 904.05905131908594, 909.86042220058994, 912.45831343116743, 912.53066066481028, 916.86804598206811, 917.79507803674937, 919.23885830339248, 919.70836196791072, 921.25406838805145, 923.17400485798157, 924.27784169275901, 928.6592434269279, 929.17515917685716, 929.44935150717185, 930.49943943936239, 931.15611065604207, 931.41817493724841, 935.43070116918261, 935.59249106411926, 935.63380598194647, 936.48974068643315, 938.33125832823885, 939.15057798664952, 939.28486742285543, 940.86775528594535, 941.31669564771153, 942.54526565720687, 944.68635644452911, 948.22762796288248, 949.00281608432465, 949.41934342218883, 950.26142597273167, 950.56677683937619, 951.69179437251978, 953.96311937101655, 954.47690647181901, 956.00468732340812, 957.04005599701156, 957.87990539872294, 959.49641763772388, 962.65315107567631, 963.32256947217945, 965.39536852311153, 965.97415559858496, 967.98373210023044, 968.40832094663836, 968.8669599944219, 969.48313786833762, 969.53007741938279, 969.91708804416282, 969.93972285542566, 969.99223193923945, 972.81603387274254, 974.22701039060814, 974.65126966120749, 974.79294656057391, 974.89730920840793, 979.88945949839581, 980.38751594993585, 981.24925324810124, 981.39752099665259, 983.25588277993893, 985.4402416136104, 985.50409084741921, 986.60921976449572, 986.65702613419512, 986.9969585660026, 989.65183494685073, 993.7587939062721, 995.36096631748956, 996.36691847326153, 998.72125367414731, 1000.6106343387694]),array([61.154672482480166, 61.35289126401431, 63.820397476253881, 65.070828805553788, 65.376626291598043, 67.83580536119041, 69.006602704561928, 69.513454771282483, 70.230309840410342, 70.636693098708804, 70.721425344788571, 70.751778862082986, 70.830932946490478, 71.148685532516168, 72.86233209212854, 72.888395079717412, 73.661496040083605, 74.615890349946525, 77.946305727209051, 80.268965126246897, 81.303779032595457, 83.997506452031004, 84.639785871002204, 84.827891816556686, 85.17573655495346, 87.117964867907943, 87.373354383409591, 89.136351736883597, 89.621843033862191, 90.794874174474486, 91.058221248874361, 93.499863148286465, 93.960376468022417, 94.239495830723769, 95.499364044050338, 96.955498406959848, 98.605855047723338, 99.647803105748224, 100.33844102944875, 102.89862148761178, 103.56563363652855, 104.46790112917211, 105.93187250684987, 106.22974454396224, 106.46621830767779, 106.69415034327382, 108.25022487742277, 109.09509974636759, 109.2459421179321, 109.55660662881198, 109.65343774685546, 110.84038536924906, 111.13717960835281, 112.76624183089662, 113.0934277254624, 113.72534996876492, 116.41110544921087, 117.50824617254088, 118.71577406345325, 118.76497341615672, 118.79419416260316, 118.86452309026181, 119.41341123233322, 120.54959729973289, 120.86914600310011, 121.58309403298772, 122.00107835915847, 124.26745352289399, 125.9769615468493, 129.68408972909967, 130.10661788081219, 130.616519363896, 132.17426369709622, 132.87180965470031, 133.61318637908087, 135.12401798016526, 136.0835131536569, 138.40137087707609, 139.36899410304088, 139.56612496783089, 140.77358456471677, 141.59480677516464, 142.04194665120431, 144.02118354492563, 146.00998633135279, 146.13435623653581, 149.18132977083513, 151.0425483057783, 154.27186375890645, 154.30959153125835, 154.39842095780662, 155.4230822408594, 155.48381572549579, 157.85755948067683, 158.50662476846935, 159.54391377390849, 161.03045573042647, 162.48544812930407, 162.69570901314898, 163.99365317909306, 164.27843775522015, 165.55411915560066, 166.13088769133154, 166.4048246582046, 170.08774625202173, 170.48409041354148, 171.59873579282882, 171.81705390410289, 171.96798627983671, 173.46944506975814, 173.58755664219836, 174.67677055367696, 175.55412716224583, 176.46400706353327, 177.24058446184523, 178.51195113095346, 178.57525015389663, 178.84525657109501, 179.21900578096054, 179.39792622390593, 181.25921115232794, 184.05749521495255, 184.99920165812381, 185.3483383710647, 187.82210164247491, 188.58324515612063, 188.90695797243299, 191.8245690014397, 192.51955761729721, 196.22531175421412, 196.82213210038651, 200.07712292395388, 204.86960336769053, 206.26373122322374, 208.20925753625326, 208.25209274049959, 208.5595033978839, 209.25902792766996, 209.94548863473557, 210.99120616743028, 211.48638612602639, 212.09489100979044, 214.49532873561159, 216.27517876824416, 216.30064528993404, 216.3386024733492, 216.97117621332768, 218.38164021343232, 219.58497044874841, 219.95915270173691, 220.26636201365957, 220.34902678853203, 223.98858203587119, 224.99645646228987, 225.25724819703527, 225.85877705361523, 226.66573319019486, 228.09125657493141, 231.15561100097963, 233.49823556441012, 234.34775658711072, 234.40789494041866, 235.16218087874537, 235.50792528183544, 236.99435307299655, 237.17935138134942, 238.73763734033898, 238.82915985707498, 239.09168589597778, 239.23219626871398, 240.07995654332547, 240.24159961224277, 241.05019782819954, 241.6788531296753, 241.84203059383822, 243.07067834111314, 243.21636841421841, 243.30062377420435, 243.79762956821648, 243.82595776477712, 244.10503094186211, 245.50452291706856, 245.80377399994927, 246.23014217327173, 247.52624305815036, 250.25586950637941, 250.27927326073188, 250.53923495067914, 250.58993437964128, 253.25757821976367, 253.5538655625474, 253.63612375707248, 255.50738823862949, 256.87751383431373, 257.11858951405634, 257.66033226914118, 259.05656536007172, 259.56529102297321, 260.79990939512805, 260.92069215090191, 261.03152409703483, 268.69876385752258, 268.75545469568095, 269.24564540191687, 270.0414984707532, 270.7136798343368, 270.96937249600649, 272.64124064138781, 274.4126981865856, 274.49005823280999, 274.56888452982463, 276.48294459734001, 276.59810870220184, 277.7368330118648, 278.06225647078202, 278.45058725699931, 279.205488643514, 281.25575807481437, 282.22948413241954, 282.72107951088299, 283.47519648729065, 283.58954749741338, 283.70409705229997, 284.35412135753171, 285.2316607241608, 285.92333067781584, 285.95923854296541, 287.76450386300871, 287.89282047026825, 290.83421658805918, 292.52156616366926, 292.80719436980473, 293.9016853232107, 297.3720009057734, 297.70595272033887, 298.23313898504739, 298.41093523415475, 301.31762570218473, 302.33983068113952, 302.90836807367094, 303.62546356050495, 304.22097719928752, 304.89376118209009, 305.17074257800067, 308.55182795080742, 310.3019473915212, 310.40187027205366, 311.14848684862415, 313.1941077041925, 313.24953870360503, 314.68306901218153, 314.70432614849562, 315.09565557113245, 316.18942234174682, 316.99558807354441, 318.40004267925121, 318.62699937782736, 318.90429221355055, 319.64175930385619, 320.83832349964155, 320.96067562612876, 321.14166138545477, 322.19680011677866, 323.47794919484659, 324.20016869343618, 324.30173303186552, 324.76495834283924, 326.22983055399357, 327.74199926840669, 328.80831902745484, 329.59137706547045, 331.99297116631146, 332.07655956490601, 333.61584414012918, 334.8856913117246, 337.3185748273068, 337.67178968071784, 338.28411542661826, 343.1858686847022, 343.76485110203743, 343.9414516487916, 344.8187598345765, 345.17193076056122, 345.70496387505358, 346.48859654904061, 346.58141627707556, 347.66446337097892, 347.75479061708228, 348.57961820264831, 350.37463563704682, 352.60325711616275, 353.45458718064248, 353.70022572053773, 354.29706716566125, 356.08262987088301, 358.06744316834846, 360.46683438629975, 362.0853600763167, 364.07734195183974, 364.60153495856684, 366.07348697119767, 367.0760149107258, 367.73667924923558, 367.9252172984144, 368.92667493380873, 369.06226483886576, 370.2573209200948, 370.76810427039806, 371.09072790608718, 371.36063123722863, 372.20577580281355, 374.29106967318683, 374.45258166115519, 374.47767512260793, 374.58367118750101, 376.12372285706482, 376.5487950199128, 378.61901041369345, 379.26336983631722, 379.29292663201448, 380.6832177282563, 381.00750914348095, 382.06831213020047, 383.57404888572404, 384.17949461214249, 385.42168594659051, 386.49207352049717, 387.39268100535253, 388.72757338032051, 389.08632607064186, 389.44152548656302, 390.69584246856323, 391.73857846841287, 392.65341246707214, 393.06106334290934, 393.45122172032535, 396.31457930542507, 396.70793527879874, 398.86164417852626, 399.21639221188207, 399.26039810125667, 401.50147240415419, 401.67925290188293, 403.14497651956361, 404.75417310999342, 405.31541046456141, 405.60201467021579, 405.74593999697004, 405.77545087214668, 406.29478995108087, 408.05184942527433, 409.67182050526833, 410.09348850269572, 412.95131619922358, 413.98138290823118, 415.08330163787173, 415.14036668247155, 416.39060328465649, 416.72777452306394, 417.27014786977475, 417.33939674850103, 418.1401777343894, 418.59100195993938, 419.06040095757857, 419.58317307761297, 419.9548517454291, 420.3453434789285, 421.16261993704273, 422.80595395474575, 423.68906883177135, 424.00078598654699, 425.23303000740117, 425.31859887545482, 425.62911015025901, 425.86483090465998, 427.73130932376739, 428.81488425377324, 429.14791460717527, 430.38632205924034, 430.7536322884323, 432.54586688948899, 432.59813975075372, 432.77191080727528, 433.32475449878541, 437.57714238800304, 440.98140983123074, 441.34679962425048, 442.49534553755785, 443.26632761193252, 445.33418423775726, 445.47003812052435, 446.45711788133747, 447.4272207837364, 450.38711217946729, 451.28235026102271, 451.74245173733499, 453.08770564534137, 454.52351597251652, 456.58792668923945, 456.95367702017671, 457.39756470914944, 457.95362177617358, 458.18479454924875, 459.43875439011128, 462.26878319306905, 463.18828649986318, 463.92435109950463, 464.56293289075444, 464.63926576706666, 466.57698020672132, 468.19861082428605, 468.49997129485155, 469.93942054177029, 470.31443331166997, 470.65588819666561, 471.80347600516558, 473.61439110489107, 473.77072350434076, 474.01029971223545, 474.17059263469713, 474.82525615086058, 475.4456411138309, 475.55462331353374, 476.11694730236644, 476.19434725747107, 477.19813214495178, 477.92454246516724, 478.06594932210254, 478.38149986777222, 479.52932829735181, 479.77842446500421, 479.8280833420186, 481.32820712802339, 481.85109267550126, 482.99672908125012, 486.67035518057816, 487.95427763959526, 488.01445919718481, 489.74788802877464, 490.22217086062051, 490.71073839954113, 490.83333928451498, 491.10855512925349, 492.4485540360464, 492.99700317405319, 494.74360374017078, 495.38941661934217, 496.78081853426437, 497.17046606546046, 497.92203456269795, 500.5273923003827, 503.76715520469673, 504.7492871935799, 505.47820749157347, 505.52465080690331, 508.0769399586481, 509.94570994580744, 510.3253000495659, 510.36270094447713, 510.57799533032806, 511.33299715557342, 514.03952643169112, 515.24685917133343, 515.48125752641749, 515.54087399932564, 517.17072181604385, 517.32822952140555, 517.84471190980059, 518.4053718697553, 522.23528708246147, 524.68003944928978, 524.91767644332981, 525.86467874463688, 526.096900025889, 526.11721646414355, 526.20894248686113, 527.21952608738275, 528.00510165748346, 528.33281750824585, 529.70647144073484, 530.55597271813258, 532.69492921781966, 533.68110032092466, 535.13643632606022, 536.34949949100644, 538.17826853101019, 539.32283499691675, 539.4527751402436, 540.92008070242969, 541.55994579315654, 543.96353663318439, 544.06394663275262, 546.36399119251826, 547.67012731531997, 548.64674395378847, 549.45554130192795, 550.97833924207646, 551.12902957935285, 552.09929423873177, 556.31676884244723, 556.95306511279341, 557.03831696929967, 558.34164126961321, 559.52000630296368, 559.83138967064747, 560.27254806552276, 561.23523435541142, 561.62808170349876, 561.74737617110452, 562.89855183042027, 564.62895476857443, 564.71805880316845, 564.82803952588733, 567.89668682998115, 568.09977683947398, 568.31711863164185, 570.63750712941896, 570.88424831743021, 572.77876479214626, 573.51802607993272, 574.45559301240348, 574.61026313026878, 574.6486815947992, 574.76562213431259, 575.92129184049929, 576.69592743242833, 577.23785764178422, 580.31609167303372, 580.37714591902773, 581.55998548042646, 583.28649537537183, 583.40533811649777, 585.07930714866723, 585.51590544371084, 585.87053950654808, 585.96303015458795, 587.18674780519939, 587.3780816146276, 590.18533491793244, 590.50283076837695, 592.73302689519642, 594.51828927669021, 594.72298492436471, 596.88859156347985, 599.07537385095441, 600.13673958856668, 600.65072488937369, 600.99194233325875, 601.20608720630287, 601.99318719165672, 602.17686331749178, 602.61417121610896, 603.01888861185967, 604.00267640633808, 605.85330761480225, 607.24077094988161, 607.55753832944822, 608.28127328943731, 608.81480424846654, 609.23151299640017, 609.77290068432285, 611.69209480827726, 613.13357285634686, 613.96981024388811, 614.27189522141634, 614.72659370350505, 614.94369081261937, 614.9984498837656, 617.20244757377645, 617.3470253223187, 619.84377574644759, 620.5806620932176, 621.07761300224877, 621.79949821889045, 622.20978005937627, 622.66733872501516, 622.7610574097713, 624.01587915903394, 625.06198106672912, 625.14862248281713, 625.37350180323347, 627.44699426637112, 628.31240699931902, 628.64580071565319, 628.80397250300439, 630.02021891163452, 630.84295503514056, 634.91722905893164, 635.25362329438406, 637.33304248070067, 637.4678444446979, 637.99052356459856, 638.17641472585433, 638.56510093878853, 640.31742905357294, 640.46390577710883, 640.52447648403972, 642.91460551024306, 648.31243744912467, 650.43698943616778, 652.11196738900571, 652.16108108524713, 654.09980408682225, 654.83312770472673, 655.74306807405583, 657.01966279784779, 657.87674483667627, 657.90402588048551, 658.84108188963762, 659.98140002454943, 660.78345019058781, 661.02496524149478, 661.34472812659658, 661.66274187993611, 661.98788097793954, 662.0465172510311, 663.14694781379569, 664.70851350812416, 665.33736105254889, 665.60571215175753, 668.19431382077767, 668.89963031554225, 669.31980412665052, 670.33914816491699, 670.71161015368682, 670.79716543397433, 672.847715504897, 673.06693054935033, 673.33070707599825, 674.17365983232071, 674.45368327498772, 676.11031104907386, 676.42150227296065, 677.56803030704293, 678.34950836964333, 680.28457192781411, 681.00446788812701, 682.82071324306128, 683.63176155120334, 685.156119578264, 686.68289270554988, 688.87610659932227, 690.2010244096042, 690.96113567499322, 691.32016869157542, 692.40268394064947, 693.34214137239394, 694.13165420863572, 695.84595773333047, 697.64702249409925, 698.37394953839146, 699.06670016622911, 699.2100563295246, 699.38354549045198, 699.69302819304971, 699.76504338301777, 700.76118331619921, 703.41638515627255, 703.68968545282598, 705.40379451797673, 705.471480542373, 705.73286743259894, 706.78686469492459, 707.07313936987225, 707.64902887752714, 709.06345013005534, 709.43221965787427, 710.27552148135078, 710.30383061612849, 711.64038073520283, 713.69690672589468, 716.72962670711206, 718.21951751797701, 718.79190157716334, 718.85693222296015, 719.34504536768839, 720.35196510425101, 721.7119645099491, 721.93274312093968, 723.35076113599678, 725.10018945548495, 725.41698946352665, 725.55987498018453, 726.32480934458079, 727.00293166794154, 727.59840318167949, 727.63322056633444, 732.66734957152778, 732.93484249142455, 733.01689248667651, 733.26320725158098, 733.68348800935644, 733.8184310493366, 733.91888666005525, 734.40132731119968, 734.80717598305273, 734.90412803706874, 735.51209019498106, 737.06424964904693, 738.48100737102368, 738.96321374923673, 739.33197440158085, 741.04885610034114, 742.82070812927338, 744.1655869019545, 747.55504665830222, 748.32988108730012, 748.48822715846677, 752.37982891043566, 753.79519117772691, 756.51378968075949, 756.88604931720681, 757.80548239969892, 758.44465715556055, 758.73536351445159, 760.37957315952144, 760.61062197462707, 760.7665306345084, 762.26445566098766, 762.70388746866945, 763.15738858556711, 763.45193939646083, 764.81657064768558, 764.99319615910019, 765.18383337529906, 765.36913866104703, 766.75260468316992, 767.17234377380623, 768.29498750231733, 768.90837290781951, 771.32589647969974, 773.03898553437728, 773.71690395421615, 775.10453124000924, 775.31664460720356, 775.97761282106831, 777.49864057565503, 779.107573248672, 779.34381153933214, 780.47796859693801, 782.54179091225171, 782.67596138306089, 785.10471280499496, 785.56547555188467, 788.79715142693942, 790.69800784222627, 791.453868074654, 793.86195421491914, 794.77807737127114, 797.07452214409625, 798.01040832640228, 799.20881790269118, 799.66330588380993, 801.8919398249725, 802.39212251674769, 802.69769783396043, 803.02323144013803, 803.51703797657865, 805.389361808476, 805.98074377318301, 806.44346898800677, 807.13739246897183, 808.45651172642795, 810.00924634787816, 810.24695487296526, 810.43130121459797, 812.13994146790469, 815.01130233604215, 815.19121420452836, 815.32350232061947, 815.82065129756609, 817.61185599460521, 818.3656805354384, 819.49892121722939, 822.19522674182326, 822.29480994899598, 822.87273345881522, 823.77835369719071, 824.72578901780264, 825.75907656908748, 826.69118482583929, 827.58773727427308, 827.68472888333508, 829.04287008298536, 831.58242079475679, 831.81388325418015, 834.8132371823483, 834.94076383058427, 839.29459294983269, 839.96644228583261, 840.40438254366018, 841.71881878834472, 841.85417786776179, 842.72739333190123, 844.94206499590348, 845.70599354490059, 846.84840461143381, 847.67407477388099, 850.61694185626186, 851.04602621215327, 854.22104603187358, 854.52587503098857, 854.89661032473009, 855.44169989858779, 856.51136590931105, 857.06704636930499, 857.95778094908985, 859.12143187361778, 860.35705736034924, 861.87169556720733, 865.67753996347017, 868.29634812277288, 869.9058383188285, 871.03834021083958, 871.13332666482802, 871.17159707272833, 871.69175678420459, 872.8116936098919, 874.329714762761, 874.74682059665713, 875.61011105839941, 875.76963567539303, 877.00871802013251, 877.03519504548183, 877.8033204542603, 878.47113746206776, 878.86433188017349, 880.2513859992373, 881.34031670501395, 882.72376066889535, 883.92397183886135, 883.99136884135726, 886.17425294664736, 888.16312139672675, 891.87870465504011, 892.65542720395752, 892.7052330878787, 892.91807112028027, 894.29756674193027, 894.33730343415357, 894.81972943065432, 895.1002611510379, 895.18449222551828, 895.63248436521349, 896.30060617954496, 897.77517241826195, 897.99919744552631, 901.88852376254636, 902.73574649122281, 905.05076867678429, 905.74207301658532, 906.59421150954256, 907.71634922755504, 908.8560150846439, 909.77313375145957, 912.60995719275161, 913.9326953639993, 914.51982752844106, 914.71889363292541, 915.75894562605117, 916.13875392603211, 917.51335801485561, 918.39055435610567, 920.19820575411359, 921.3145525721261, 922.95190622584801, 923.20738526801006, 924.66778539480492, 925.25286287860774, 925.38161334130723, 925.65612624382254, 925.93565237657378, 926.39281219043789, 926.60890832819791, 927.40565538586975, 928.89712040714858, 929.52051236004183, 929.62202369296222, 930.94879367396584, 933.57163092736619, 934.51331292338216, 935.44298372256583, 936.82410257454592, 937.96841692432758, 938.30754961265416, 939.03108080211348, 941.16389962893606, 941.67335182565193, 943.89459187365139, 944.0405914782076, 944.49586135635286, 945.11756056842592, 945.28538932847994, 945.70536891108986, 947.31322004014942, 949.43514177096608, 949.57424645371907, 950.02536401206669, 950.17009299220604, 950.27687133748032, 950.34571665012311, 950.90357399929678, 951.25435352538648, 952.16983416580763, 953.49347331360184, 953.93858660553224, 954.91916544999913, 955.88091746445275, 956.30060804424227, 958.04444927668794, 958.73192516353265, 959.6492398295685, 960.49258811934078, 962.25068923575054, 963.11859851852046, 963.77502449050883, 966.98072391496419, 967.53153700760572, 970.38466806167435, 970.65566287465322, 972.18171935522093, 973.80892695687498, 974.31403523972767, 976.69415867175132, 977.82900014312986, 979.06571662184103, 980.69218921763104, 982.30010044268113, 983.68240536797407, 983.87486726749364, 985.62749885409482, 986.00453354375065, 986.30118205751819, 989.22179406886562, 990.31297195232389, 990.85396637261897, 991.96768019213948, 992.31957446517572, 992.82073364085625, 995.06036105253156, 995.52369661172315, 996.05691789927778, 996.64991549563251, 997.26471748381641, 997.9391392332426, 999.36848797937273, 1000.2743244583133]),array([80.036146067804282, 80.41904001151218, 81.287956174469272, 82.181325836714507, 82.305019670262567, 82.436598683996706, 83.533315872169808, 85.11139371911348, 85.471304753144267, 85.513386594560544, 85.714439241311879, 88.381733123968374, 90.20622704903235, 90.28577945547697, 90.547515870391607, 91.720064210243137, 92.070290690604708, 92.396117970755654, 93.869706549265715, 95.617676772378005, 97.291356729090978, 98.708110350837984, 100.03869240386567, 101.04830823673032, 101.44469028672665, 102.09509022721709, 105.16842317209483, 108.14622331324465, 108.50246240806059, 108.57726279467188, 108.76876446623247, 110.58132133861456, 111.33768214327648, 111.42700973634219, 111.93557672155677, 112.23217845516731, 113.91754269947893, 115.22042739372289, 115.85347019768744, 116.52546378561681, 120.62224377477088, 121.64382598371962, 122.36121823577594, 124.34445116365377, 126.99669300121835, 127.86825454455507, 128.42143372509392, 129.19085682053202, 133.27849703388611, 133.68509891227882, 134.54231859644332, 135.79466739999845, 138.03514688822975, 139.64384437873849, 140.16215783936269, 140.7270979317986, 144.0281955806839, 144.78882574954318, 145.18561979278371, 147.38209309879514, 149.61425126911703, 150.50533565433199, 151.8682665766693, 152.51213984150965, 152.62964285572167, 153.61094952072816, 154.64830894749059, 155.04651872399094, 156.85114382463232, 157.39112455708323, 157.57486645040996, 157.63445649684476, 157.67688311225803, 158.66322074342449, 158.97936626668829, 159.68486797921301, 160.6686962452942, 160.94308867362292, 161.32570846597616, 161.54020752902053, 161.85604021538683, 162.09887748244273, 163.05324681419728, 165.05179864521395, 165.3393432128332, 165.82701167776807, 166.68589051481672, 167.16032912218128, 167.98560781218637, 168.22554843854201, 169.10695112036154, 169.70433330729693, 170.57275347751695, 171.52295016980651, 171.60352945675464, 171.91026559724872, 172.42610464918275, 173.17409551028152, 173.51178990711989, 173.58823691098922, 174.1858810632975, 175.6857962590727, 175.9671627863911, 178.18413258526377, 178.6328320157389, 180.70421287677135, 182.78049775682882, 183.8272783732375, 184.33668659342058, 187.19704455416894, 188.43683997970174, 189.09024832539356, 190.03484881103242, 191.76601098812043, 194.2589235559831, 196.5230483308849, 197.10124369135468, 197.26311886862572, 197.96851414478149, 198.02985954868612, 198.05316594944549, 199.86138825215627, 200.72063409184989, 201.33860877822573, 201.83049203093725, 202.57795390240278, 202.96721589339103, 209.1102603015959, 210.64856926402217, 211.32608588704576, 212.20837659453369, 213.33359510023038, 214.18811667762441, 215.17069373024717, 217.14150653064607, 218.34453195077438, 220.9949653369722, 221.81907269035085, 222.35252500008784, 223.85125334167302, 225.23586257826321, 225.28521521869527, 227.72715581585359, 229.48045316040836, 231.32276297112992, 232.60327898972736, 233.52486680679027, 233.62170513466756, 238.6429663240242, 239.86816524109639, 240.30121460236717, 240.47019630957422, 241.69954464233405, 242.29717557254222, 243.57984466620667, 243.62416428227829, 243.90804200527529, 245.38959722945904, 245.73590688508847, 246.55447052199403, 248.84133478559778, 248.94090626814466, 250.29766608365446, 250.40750320961826, 250.48473051986863, 251.0219970166531, 252.6248856733304, 252.72292710511402, 253.68612731290642, 254.39783220831106, 254.43261027539648, 254.46581782385016, 255.42077030921553, 255.65099185670627, 256.10256476013444, 257.53587950136017, 257.63358614070745, 258.95423761921307, 260.70742048012306, 261.07700479623537, 261.19014591229302, 261.33136884927063, 262.31102813484796, 263.06430666750487, 263.16773226706101, 266.21754094216107, 270.10956467743932, 272.07738435133058, 272.46617073201065, 272.92047567959315, 273.16460804885747, 274.52457459873568, 276.02999904552559, 276.20067472321057, 276.3168545155217, 277.12855298249832, 278.21648949999411, 281.56933474386921, 281.67509910260873, 282.63057154980908, 282.89477817202459, 283.48062263849312, 283.96387876435955, 284.29048834351096, 285.13030203379247, 285.38554771503493, 287.40283256515403, 287.68381189609767, 288.75885955209031, 293.24709527033201, 296.30979459507984, 296.48477022082767, 296.98561856093806, 298.23213991518867, 298.58443540053418, 298.85279428311662, 298.98196053355895, 299.48610457366777, 301.79588251064297, 303.04206503420511, 304.56702281304683, 304.93566646901775, 306.39341904966898, 307.02167390376292, 307.42203334733102, 308.82643325602584, 310.95622745683227, 311.36744128798387, 312.79774002067171, 314.46113943504679, 315.27814490062389, 318.19554804287736, 319.47955656258546, 319.98445102348575, 320.58319261531165, 321.0346126941094, 322.21213483567038, 322.86495943959284, 323.81354640382852, 324.18653591867678, 325.78707552383213, 326.15015556813432, 327.33550128617685, 329.57017683786358, 332.98040349367329, 333.12425659354329, 333.43518198099292, 334.27541212127835, 335.32168628130648, 335.66479441676972, 335.7535443802642, 336.02806384850015, 337.19112160006358, 337.76154908351691, 339.02898478253451, 339.13221244420822, 339.37566091580004, 340.3656709678649, 340.59867930022261, 341.8864737035023, 343.03645646747134, 343.07529272794875, 343.11390632896439, 343.58318087756908, 344.10909738489374, 344.16896651344598, 344.40796505135665, 344.58471938079367, 345.49582025738158, 346.91752346692061, 347.5521579530166, 349.25640758500612, 350.15455510990449, 351.34751151319125, 352.01717275766458, 352.18746879059501, 353.15902326946377, 355.01072871600275, 355.85182639808056, 356.3588072126808, 356.55778331158103, 357.98903001115724, 358.11619483780305, 359.2654659940676, 359.51438571966287, 360.2638619910839, 361.27364670005818, 362.55400954190753, 363.88392730823188, 364.12409960592584, 366.56108174036746, 366.65653235416681, 367.56443945942112, 367.67047021695765, 367.80543105225524, 368.16762213763695, 370.14186070423278, 371.63967876625497, 373.13017718857373, 373.72941339181625, 374.07898834502885, 374.2917083522351, 374.67479074553364, 374.90750181800405, 378.51287350777073, 378.71892749588915, 380.41250586670304, 382.85864877819944, 383.64802273089663, 383.94812068478552, 384.9678791455878, 386.82976711496968, 388.15703505538414, 388.28123031642838, 388.87298977494652, 388.98725694656548, 389.89523835414514, 390.21020225547295, 391.82945298428166, 394.178985017228, 394.7506531455607, 395.84542886492466, 397.66056662517747, 397.71352684470406, 399.46347719410329, 399.78531328841245, 401.9082576630413, 402.86288696789495, 404.54678953823174, 405.58518305136096, 406.64325291086607, 408.19662217061421, 408.46358335936299, 409.38585277805259, 409.57621431799822, 410.68337850867027, 411.44310377667779, 413.37765726273017, 416.47764079618707, 418.33076543857453, 420.28815798384016, 421.27476140338342, 421.91188295993004, 422.95206423411418, 424.30322390945065, 425.06578885935409, 425.46846214249024, 431.71584745190648, 432.20617184792161, 432.35586848109466, 433.32964475474995, 434.12657052544574, 434.42218563380374, 438.52485963284397, 439.10765449857195, 440.29517576499796, 442.35117825963965, 444.07080168347886, 444.1014385867328, 444.65814274448491, 445.31941102588854, 446.73457992518081, 447.13399771411792, 447.25518040971718, 448.22083529738876, 449.98381339090855, 451.01481092543861, 452.56103812621063, 456.63748673200473, 456.73882008529313, 457.16308219624432, 457.33958889451787, 457.72988615025031, 457.86499372556608, 461.14227869693906, 462.77209791769354, 463.23463542835179, 466.64779530367167, 466.82696620763693, 467.81221194363081, 468.92822491526346, 469.92053896577471, 470.43253278185915, 470.71726030950362, 470.8341354650687, 471.33884605063605, 472.07557135136358, 472.91822602092975, 473.24199681525874, 473.40445073573864, 474.67432108534501, 474.84613549826997, 475.31558154983304, 475.82926487593215, 477.22407214462942, 478.66404933037887, 478.76421925354867, 479.4565029886233, 479.8485291769473, 479.94456053592995, 481.34351466794828, 483.79635969362005, 484.57031376840706, 485.02189605997501, 486.40987525360515, 486.56648520232068, 486.78403719126601, 486.8505523468848, 487.50761023510989, 488.10123008645263, 488.91965483963963, 489.82552566680192, 490.35123866975863, 492.64122522233021, 493.19403102159282, 497.75409023569858, 497.84587689502183, 498.54397985716645, 499.40835521103935, 500.39038048887886, 501.00030440771519, 501.91755748257106, 502.22421136938118, 503.0812548908429, 508.50239116539319, 509.17165500184933, 509.65966799687027, 511.08000693504283, 511.49013262585163, 511.87141741830283, 512.04259994138977, 512.85026499428727, 514.43089841014853, 514.77197345020329, 515.40402507210081, 515.82163456607714, 517.13213559344479, 517.42357876457038, 517.88551032270732, 518.16581797963511, 518.27393928051094, 518.46734641684418, 518.57465575113872, 519.82471728685607, 519.98473351073608, 520.69256070767165, 520.97770167388614, 521.16794989133587, 522.4560007969028, 523.00331675751795, 526.90549131311025, 526.99807060351714, 527.61668187109206, 528.61679859686092, 531.0553671547442, 532.19464057498635, 534.5296314668725, 534.79263525960346, 535.08635110928026, 535.31759275072977, 536.04022194004563, 536.25767181477545, 536.8977915169811, 537.75894760572396, 538.48871486756343, 539.00374121475625, 539.27263334160841, 539.87414242740306, 540.50610007110993, 540.7446340081616, 540.81927047579131, 541.8326540287178, 543.22875234925903, 544.34523222910411, 545.57497186936382, 547.54323346861099, 548.74555223768482, 550.38661535101414, 551.21345128104622, 551.84816802325406, 551.93666001201996, 553.24589342114598, 553.66894286226943, 556.52075026920181, 557.79450278629201, 558.93901586210336, 558.9612772714313, 559.06963248474574, 559.34976602672384, 559.46467930337519, 561.7343092669222, 562.53633608427867, 562.92883865330259, 563.78613876514282, 563.88139657250224, 564.18829124701119, 564.84465748194361, 565.56242512599181, 565.78577736104239, 566.99091329688702, 568.04530038987969, 568.3636689575668, 569.11208698721089, 570.23187318631835, 570.2599837031139, 570.50498552577415, 573.36847809521805, 575.32737415559086, 575.87492183038091, 577.75819197132603, 578.27477288892476, 580.51334832009206, 580.63264156794503, 580.85730989231524, 582.04386968370306, 583.18592679093399, 583.32918274976646, 583.70558029434198, 583.95135686127628, 584.01882848925538, 584.98602294174577, 585.06248189191786, 585.14609572147299, 586.63435955053114, 589.69675985156277, 590.85641825952143, 591.86682798424431, 593.68363672246676, 596.86131922444577, 599.95336518583088, 601.81769160094291, 604.51539185229512, 604.68914058253847, 607.24789353719143, 608.68821894863743, 610.37475519066936, 610.58086430739729, 611.70950423620354, 612.59747768129739, 613.37559780603362, 613.97339995164612, 614.1287632606892, 614.38430548879421, 614.96518206552764, 615.17793072024733, 615.51137888321409, 615.94277107216419, 616.65101594971463, 617.07063883977855, 617.35152665206749, 618.66287656391455, 621.22228338702655, 622.50714069791059, 623.2567461758191, 624.12836371795913, 624.35003829201628, 626.14766303961778, 627.19356802642972, 628.06566374825843, 628.35186765181322, 628.96960685596969, 629.3906307882803, 630.99414866673726, 633.28511602193964, 634.42012988149452, 637.44335118742003, 640.0391396613893, 643.61797557730097, 643.86517186563765, 643.89571678042228, 645.08523360723382, 645.92407248053019, 645.977443829295, 646.7286634688154, 647.49340029885752, 648.74894983552861, 649.5154689537336, 652.49209812607364, 653.86502163546731, 654.70781520429239, 654.90397648741521, 657.35891830573041, 658.9865182837209, 659.7044912090239, 661.08936930987477, 662.18834884577086, 663.01477083715179, 665.57048326420932, 666.30069448610072, 666.50167238132997, 667.72830387557019, 669.21127418530659, 669.41158566545437, 670.95253566332894, 671.67429283330796, 672.71865191492191, 675.23469043082571, 675.55945515476981, 677.49132063859008, 679.35276985150824, 680.35750618006887, 681.26545768358767, 681.33307710188888, 683.65928106297633, 685.902807749658, 686.81786225293888, 691.59442803213756, 692.13496310314224, 692.22776749423258, 692.97119395928348, 693.24241732960684, 693.35772630154372, 694.28113771341145, 695.15600493852071, 697.86497531673069, 700.86448775848055, 703.9300404642695, 704.19995317579844, 707.6056629929609, 708.42780077230498, 710.1218214512819, 711.7679738673786, 713.03526077649656, 713.55426141290582, 714.91557488539877, 715.12825616260227, 715.40365232924933, 716.84830731740271, 716.97788038656643, 716.99951329868759, 719.29783878459352, 723.52262407497494, 724.56772728626595, 727.56496978640268, 728.38118232916986, 728.68889255991883, 731.97719837536044, 732.37457188393239, 732.79666270350197, 733.82146920892899, 735.60628432736155, 737.0791754348628, 737.09928615213857, 737.23546331828163, 738.61752641658359, 740.78599600459552, 740.97355874934726, 741.02280961586462, 741.45635035798443, 743.37739423424262, 744.11109615649787, 744.91157423048412, 745.4141105393029, 745.64208555669927, 746.65412685612932, 747.32316154767216, 747.65399238604721, 749.79601703886033, 749.82811133974917, 750.47666182393107, 754.46450508316536, 754.79967566934329, 756.04435321595736, 756.76664809695251, 757.52515554029844, 757.77743336010974, 757.94237131789964, 758.26268867418048, 759.37268837755551, 760.08955136833913, 761.31650939841177, 762.91069897481884, 763.77322759278752, 763.81004453736386, 765.25650606837166, 766.28852088345946, 766.66766857353582, 767.8086469713221, 767.96072639486795, 771.23110429474229, 774.29416530528522, 775.96685604785966, 777.39787738440498, 779.65738903503711, 780.03880234575922, 780.2541624403251, 781.43280611042621, 782.68638029442604, 783.85406871490272, 784.20530850009277, 785.27060393534975, 786.97427315648224, 787.02569451454121, 787.34073871672081, 788.13449520005736, 789.42811257949336, 790.69979186261719, 790.76330926247965, 791.99832119719804, 793.52670605050025, 795.39688297738724, 801.00148401672607, 801.16203177938041, 801.66046350661725, 806.33910382152874, 807.82354367576681, 808.28144869109201, 809.63003885104797, 812.31040579522244, 816.71727273656961, 818.69356725110367, 819.49327440021102, 820.49167965289598, 821.48952006762374, 822.10150217910063, 822.44195989071193, 822.98555490171179, 823.32659698467569, 824.55858020531434, 825.18212829548577, 825.67366940379088, 826.58592123330493, 827.22713621244475, 828.4705377751942, 828.77160221003737, 829.17625651683431, 829.65105926755814, 832.49535820667052, 832.8893559637695, 833.15967505234255, 834.34030845286156, 835.50183008399449, 836.20644380056524, 839.18619916587932, 839.53389757928221, 840.59752448730012, 843.40753654710147, 844.43974017493736, 844.93152981000446, 845.05101490317929, 846.34929646717706, 846.56951774190873, 846.67875138909471, 848.10308883042069, 850.68784289829432, 852.10849620149065, 852.63245824973944, 853.74715441072101, 853.84709076347974, 854.06059678002532, 854.80751839636036, 856.03055098129528, 857.01148057637772, 858.90822377951804, 860.40922793181119, 860.47028369220516, 860.65431690797845, 860.90220426046335, 861.21241089278237, 866.03763704747769, 866.5854354614512, 866.82487146943538, 867.91719955694521, 868.18430291639902, 868.82896395240289, 869.32477983086267, 869.77711420710739, 875.54416122779207, 875.70019723183896, 877.13819623113829, 878.64510753009392, 879.29350489303067, 880.21030301698272, 881.52385510857277, 881.96233797602122, 881.98410732449668, 883.46931644730466, 885.71264438262938, 888.54679259097509, 888.57451365385737, 890.45847985614569, 891.98296885868513, 892.36950863709342, 893.5278965988756, 894.13557254388786, 894.68417829067221, 895.42283173510657, 895.92576298193831, 897.47770992904941, 900.91307789867471, 901.00011515223548, 901.42521882044696, 901.45899522453726, 904.25347195195855, 905.26399122775786, 905.31223039145141, 907.53495614787255, 907.99835119850638, 908.14318931424361, 912.62371357130223, 913.12443677084696, 913.14935565203427, 913.64624577757183, 915.5854134154439, 915.86551428994323, 916.76778919992728, 916.80059971210517, 917.42415901202889, 917.68017931975976, 920.80057982539677, 921.75749616525388, 922.02184736710183, 924.14188994050949, 924.61049343086711, 924.76286233552878, 924.9864793531533, 925.02370671611936, 926.08871296922996, 926.63992704526015, 927.8054602986947, 930.59226760941476, 931.96722641158465, 932.33865518436812, 932.80215993886281, 933.44471234085859, 933.93401828674916, 934.17072035626541, 935.74248357315889, 935.80054505919122, 936.47069721612445, 939.61310044768675, 939.88606725894772, 941.57364057667883, 942.87710177849647, 943.67142343055923, 945.57240843973921, 948.05487814831793, 948.3169942215153, 949.90870115552195, 950.11973851849632, 953.2041394990041, 954.33222063960841, 954.48202692251289, 954.6473792845336, 954.68631448111455, 956.18049701887026, 956.99634371884292, 957.99212510397047, 958.69628838222195, 959.25277173294728, 959.88293394860409, 962.43219289805393, 963.01615191384235, 963.51624658054709, 963.5368468406981, 964.1635341167563, 964.3790083016454, 965.13879875075895, 965.35008665115106, 967.35908866170212, 967.85723302341398, 968.32132827386977, 970.19321361823825, 970.28854106250537, 972.77732370548779, 973.66261214412145, 975.19640768649288, 977.82344892605408, 981.82096992278696, 981.9197644058321, 982.42267977236736, 982.6819832389948, 982.92849492066478, 984.43140716307869, 984.56165295722133, 985.11431378704947, 985.52185708852699, 986.77829736833007, 988.14843356867732, 988.2932000474741, 989.00571261822483, 989.77423923331105, 989.89346782425594, 990.64106972569232, 991.79585592714545, 993.34962776321572, 995.76732294146802, 996.57648376467591, 996.77057744038802, 998.32159741153691, 999.04645329368566, 999.15002531907896, 999.93587465640462, 1003.3155901148421]),array([51.486952397029164, 51.795677982462585, 51.867320756069994, 52.139199423692389, 52.275185784900337, 53.728245798666428, 55.103511327447237, 56.583080182484636, 58.246455617498412, 59.129258984087812, 59.941995080044514, 62.466546174181182, 62.973488403891949, 63.597298095140744, 64.722156672071833, 64.992490589285623, 65.455509090544993, 65.797151298469444, 67.040500567271025, 68.361992442719, 68.573155280802638, 70.279390107496582, 71.491878139449597, 71.565195968247664, 75.840083489615694, 76.78049495857924, 78.407426993322488, 79.659256749938891, 80.567082561502872, 81.038137419062821, 82.332877050778563, 82.641511435111937, 83.369915746737661, 84.065826233759466, 84.091497183146146, 84.476142833700095, 85.939085791227555, 86.755021509761846, 87.078918185087787, 89.713842436618194, 93.801538348228178, 93.902585821980892, 95.345158027658528, 96.016481214237373, 98.064393872155478, 98.609352806770517, 100.08978749733961, 100.31023426415244, 100.38738942652142, 101.9968791607867, 105.13769304815428, 105.16803413553987, 106.6353992410472, 106.90723665369718, 107.95642719294858, 109.62632079159698, 110.25964657183692, 111.02984733636048, 111.46780628396674, 111.83208904845802, 112.20617887409968, 112.24413991951535, 112.5800909360337, 114.87354842045032, 115.8753386797229, 116.21465263429535, 119.16607846733785, 119.57790542259821, 119.80527188555912, 120.66911634575298, 122.01107413961748, 122.33145253206169, 122.47515303481823, 123.17408016855235, 124.08824290033442, 124.96314181068075, 125.50490633914508, 125.75267167025021, 125.83407495846599, 126.77218948148031, 127.11273160130818, 127.88735210476274, 128.36606159206625, 129.82173402372359, 130.00671734275525, 130.23793039647396, 130.73543572892333, 131.02847504864994, 132.16319030979366, 132.42262181377177, 132.70784958503162, 134.21722813683175, 134.75942226003829, 135.68202127649346, 138.26442387150553, 139.29293873211958, 139.90007924401576, 140.13474841075745, 140.3306316809491, 140.49208024489428, 142.18561411190532, 143.19238767786447, 143.56720832723676, 144.938063365994, 145.22570741010264, 146.09323659505867, 147.61660694613042, 148.57933347442574, 150.93620923323729, 151.94927053114185, 153.49571174806613, 153.57516894799375, 153.71340046595731, 154.42885904162475, 154.95491697758243, 155.44039462156641, 155.87768116773199, 156.26569804497026, 157.0789890502349, 157.20380627766122, 157.43987571565972, 159.16057604488742, 160.0871697496315, 160.51744940780407, 161.52847349910937, 161.86575216367876, 162.22576724224618, 163.27621248192349, 163.58380051865518, 165.85763521742786, 165.89369584748192, 166.0191041313943, 166.74962065792928, 168.06170687795108, 173.24021913754029, 174.79972541225243, 175.13279073180846, 175.64697281259416, 176.08096367546497, 176.16395197104194, 178.70758756226155, 178.75673377432636, 178.80599407853043, 179.05792445764007, 179.42029889834657, 181.6615696840316, 182.40727336177477, 182.60642996875626, 184.72380146112073, 185.73156613776359, 185.78135063150771, 185.82217234089958, 186.90150604997703, 187.75645292029904, 188.7747172601598, 189.82989864916723, 189.94384878063235, 191.74374344757854, 191.86959635099367, 192.0392608835092, 192.60062850722255, 192.99202166470721, 193.07840997787295, 193.39558108745959, 194.05806817285492, 194.14037020099357, 197.28341959421329, 197.93419965466336, 198.91248479461717, 200.09959015511578, 200.57260381853362, 202.03393610196886, 202.34971089932321, 202.84162309948692, 203.16330987932926, 203.33734138714607, 203.37119353051966, 206.80389121110409, 207.82227619366554, 208.10187221963147, 208.68214159169159, 210.77080856360385, 210.93337394341233, 211.10763375557457, 211.83458158878784, 212.2381268429792, 212.98079603414857, 213.53720176039272, 214.94175421567908, 215.12396067525816, 216.12713691912367, 216.48242147642631, 217.51882310133792, 218.12367383288955, 218.70220768111886, 218.79731000894955, 218.86013043022405, 219.87053241284329, 222.39971232753641, 224.27857774822002, 224.33096039752138, 225.73007693989541, 226.17090461568037, 227.05675115917128, 227.22041770773987, 228.17463823857378, 228.30735395028964, 228.86576725303843, 229.52757352320509, 230.12451879040495, 230.25714110929036, 230.86348939401171, 231.05123857438818, 231.13609294368209, 231.52186556936434, 231.92567447798208, 232.63083998049296, 232.77606722490469, 235.58684249049739, 235.83488455566024, 236.17023205546712, 238.6225471497921, 239.08687620035013, 239.59303202207002, 242.21126423032322, 243.44317806502528, 246.78404856579741, 247.47219225834013, 248.08138035259435, 248.68799810608022, 250.19486638641854, 250.23083506155191, 250.66573450079184, 251.52327459898407, 254.14859634872988, 255.1853804866459, 255.46614204525196, 256.96081188867328, 258.07324095553895, 259.05358549095439, 261.54363002634898, 262.61262285374187, 262.92177795541215, 266.60091127882549, 267.3711569941143, 268.42862579035744, 269.32796617862806, 269.83375178732615, 270.17591195626767, 271.5279951654137, 271.88277258353054, 273.6997639920844, 273.97888569638752, 275.25319572880562, 275.87654464587757, 277.97155051761399, 278.02974932829665, 278.11704805215084, 279.55776971453747, 283.51460279479659, 284.2662513476036, 285.78813872890277, 286.18880173047887, 287.01923185718186, 288.67410963819464, 289.57723156219754, 289.88099470260323, 290.29999866366654, 290.33987746381524, 290.3846925622567, 290.73948560759925, 290.93806286334041, 291.06576507664937, 293.81732721799568, 294.00080376441724, 294.35292129701287, 295.6416670904137, 296.59728859265596, 297.87054235273752, 300.74022044117197, 301.16341962257889, 301.62071095144989, 302.2683476890374, 302.73927342837374, 304.12133965005427, 305.28189714048079, 305.63011154539191, 307.34234022736899, 307.53693069028316, 308.49713418185843, 309.97458496892347, 310.19794517808987, 310.40894573097376, 311.03330179838326, 311.88550211330607, 312.26748939990898, 312.29981916048587, 312.63575877300303, 312.79168524296108, 313.36634291305052, 314.6809887355501, 315.11089603889707, 315.7364792085649, 316.43713795850141, 316.80630349210577, 317.83961309583901, 318.82130306768903, 319.12564097597584, 319.21865180248659, 319.60815484027944, 321.01703732913359, 322.23670049139668, 322.96873050535254, 324.01641109852176, 324.66033382932744, 325.5878270025953, 327.82789124653834, 328.65227396944891, 328.92626395579163, 329.33518729381075, 332.39673401221222, 335.67147625725903, 336.15893548354734, 336.29186810519479, 336.48235792050946, 336.98461879429289, 337.56099677665128, 340.83229801366423, 340.88059203434733, 343.10769061762068, 343.73828390972841, 344.51501351323839, 345.04992305550695, 346.85601328224107, 347.52760298064425, 351.61719630288388, 356.06526949667926, 357.98024729849959, 360.58466993462702, 364.45900532809549, 365.51605385027193, 368.06482541086706, 369.46356866812363, 370.21286420003446, 371.98126725270447, 372.59327101315984, 372.62352885545511, 372.92594851435865, 373.29850661896472, 375.25559096140529, 377.34402086044423, 382.12201092980433, 383.49237410177494, 384.67000605219516, 384.89205603238923, 385.6591126987708, 385.99538860519789, 386.03287166368762, 386.39222720771437, 387.3034434040689, 388.73056898067568, 388.80329290597746, 389.26369211904358, 390.15763096949922, 390.22133116890024, 390.66300587886906, 391.89593619845732, 392.1285306595064, 393.10145159873474, 393.99578927301479, 394.34630717788258, 394.99290278550109, 395.14450980687081, 395.33613553289291, 395.4613667963913, 397.61195593356132, 398.01186637083464, 399.54856160729014, 400.87026608915289, 401.76712496882465, 403.52918220227826, 403.82990796777881, 404.21404978105579, 405.46119179717834, 407.52397248158741, 409.82948197955261, 410.1082815182254, 412.37974943148379, 414.6883240190806, 415.08882118184437, 415.73982547370963, 416.92434928369295, 419.50483308375783, 420.26635041422747, 420.65690690989908, 422.7821250213338, 424.08237315446189, 424.53186140936197, 425.99593410975439, 427.67476766390274, 428.44133070280543, 429.98164508734516, 432.77196327114166, 433.89145881289772, 434.69395861046291, 434.78014266130316, 435.8539039436684, 436.33294447064623, 436.3807946884836, 436.84462592490195, 437.62007405157567, 437.79793086236833, 438.18781920931832, 439.25122119508461, 440.14637441290557, 441.83322880851955, 443.47152850236762, 444.05383298962278, 444.73562823548718, 445.32407498069011, 445.91495376051012, 445.94366101228809, 446.9786587916708, 447.40201745156048, 447.47386785217083, 447.64742396976288, 448.6170492416806, 448.895774820508, 449.17367427338212, 449.58790200517143, 450.57456920171495, 451.06368770522511, 451.47383012281102, 452.98705095086984, 453.73726392867513, 454.28121581805732, 455.41345903914078, 457.43191741434759, 459.62044237069625, 459.76570077098791, 460.16144740276633, 460.74579969537973, 461.96232649679729, 463.27311675267401, 463.46174590995167, 463.64352000673978, 464.52958387662767, 464.81264943952829, 465.22241226650266, 465.57883539028609, 466.81591312807819, 466.91247860591824, 467.51541549749351, 468.09766136643725, 468.39404358450463, 468.72124535304272, 468.83793171060051, 469.13219584725863, 469.25323354853992, 471.02690696659982, 472.38979819321332, 473.04341187165369, 473.0636044677596, 473.19036560646134, 475.13507562880602, 475.35351571482204, 481.0772717212663, 481.84075346991551, 483.46495950229581, 484.06103239468257, 485.17106005790254, 485.29444368817695, 485.7472542774517, 486.28869331818134, 486.56420721050995, 487.82610720736722, 487.95027944172728, 489.31428312780861, 489.79434864678791, 490.92938678611387, 491.24909686700585, 493.35948857582974, 494.64245560116336, 495.49920980747356, 497.59743777102631, 501.35706376207469, 503.71445265592376, 504.41626165822277, 505.90947297821748, 507.89096417709578, 509.41302082133848, 511.45235145689884, 513.06710713507323, 514.05749505761548, 515.14530136887265, 515.30500355784648, 516.0327750933825, 516.42335180537498, 517.55167408704722, 519.01315866932953, 519.10540341772492, 522.84136076830021, 523.39051499104301, 524.74135777332185, 525.20523573008506, 526.21273936013927, 530.73222140972018, 531.27898960040704, 534.69770231911377, 536.47870560433876, 537.43638046583953, 537.69894290693264, 538.82607269963319, 540.3617846157025, 541.03949016789511, 541.50979027505059, 541.58981986033143, 541.69244087997367, 542.23066064999409, 544.66951562789882, 545.76811690826548, 547.56387175765803, 550.04811946465611, 551.70274424299703, 551.95066817891723, 552.99653210825215, 553.40916003869961, 553.5741355172197, 554.50576831197452, 555.01212085876421, 556.39082591542979, 556.55521625019117, 559.31458785419625, 559.63713069657774, 560.77963851600862, 562.4546031819981, 562.90720050964342, 563.36098943071238, 563.72219217489067, 564.63663474117334, 564.93888332655752, 566.03933800890388, 566.33083924047969, 568.98931793147358, 569.28128724220937, 570.82273749896467, 570.89815624418577, 570.996282516821, 574.63842371912108, 574.88126559545015, 575.6074785870004, 575.87727130986229, 576.45543002530837, 577.57771909210044, 578.97826801349322, 579.58989397806829, 580.31555078879296, 580.61803748910893, 580.94403677142395, 581.54848726527689, 583.65129923116808, 584.24990982181396, 585.62794716118287, 585.73244134719812, 586.14446432332863, 587.92950219516138, 589.14178586842081, 590.34927685167384, 590.47899333139662, 590.77551637810984, 593.22989412377001, 593.51860211808798, 594.39231523716057, 594.97696561137695, 595.37222183196309, 597.34788495248665, 599.04416363028952, 599.77701100588467, 601.14033902601886, 601.39602100440686, 601.80541692145869, 601.95618392676386, 602.34862680933225, 602.37160280491389, 602.89303355727122, 603.01371829045308, 603.61265078466181, 604.72325850415848, 605.62644284110797, 606.11838903278226, 606.20109672521653, 608.224634873372, 608.43707833414885, 611.19946720755399, 611.5900659501757, 611.75122147665104, 612.02335818327845, 614.20096937181677, 614.92223772140892, 618.02918667867857, 618.31208804442099, 618.36675604674349, 621.56440155897667, 622.2896004903381, 622.6248887538718, 626.42615694051358, 626.8717925442179, 627.05006583156182, 627.16937355654511, 627.46783887593233, 627.50095722582853, 630.87209750819102, 631.27128202192341, 634.36326608642776, 635.43751955157325, 635.60840836663908, 635.90441826956271, 639.53143337852316, 641.35430756347512, 642.5168849021311, 642.7397962920603, 643.36024048491743, 643.8642870011156, 644.12091349106186, 644.39092022611408, 645.06001834973279, 647.53433914599907, 650.47505773301225, 650.79872367081032, 652.23567258908747, 653.2330896985759, 654.66363837223912, 656.00340193106865, 657.7255737315279, 658.55379785832815, 661.91609585361368, 662.07025302626562, 665.64555512454183, 665.8685319092981, 666.42782840672828, 667.4037357870958, 668.16465528199433, 670.18692121218601, 671.27159547908514, 671.67262641838647, 672.51380479854447, 672.66634907283958, 673.35124825884577, 674.35280576290813, 675.56539008056905, 675.59951291524885, 676.85271903990997, 678.02501957849142, 678.71501706049435, 682.11253048041249, 682.28221531512781, 684.5690096965559, 687.07927520595592, 687.95066916340465, 688.15519180514491, 688.34483177129709, 688.39389822730243, 688.69574007677409, 689.47160856504547, 689.64106416520372, 690.22212071299589, 691.75208772872224, 692.70855204609302, 692.97311272330705, 694.43987207645023, 695.84337049194903, 695.95671810042916, 696.21676301447576, 696.48945273249785, 697.23213405301431, 697.34513513293064, 697.75519531379621, 698.09190844219017, 700.19828640821402, 701.78954457367422, 702.47024389405942, 702.59838235565314, 704.10769006122189, 705.10406231600552, 706.65451450372279, 707.42448428142802, 708.41073450919328, 708.61442339347877, 708.65449885092619, 708.80647229003284, 710.78737531221168, 711.67757177910539, 712.29212675665462, 713.95809935599414, 714.63479121917817, 716.10177063123933, 717.87154132011528, 720.6420082985112, 721.84432067649664, 722.77803727529795, 723.15773104699565, 725.13011506752264, 725.39444943716319, 726.73818932162487, 726.87349672448727, 727.81245898054294, 729.8448799709962, 730.76116618103049, 731.89453120519238, 732.64591188693828, 732.71678836521107, 732.85620858662423, 733.16215116733883, 733.43417585045961, 736.49881640177216, 737.01050431357953, 737.47317145236104, 738.33260315891732, 739.13863127438992, 739.57390325007486, 742.28007797492046, 742.77846696251754, 743.19184486626443, 744.02936855967914, 744.92014939091882, 745.71233048600618, 747.58749615986255, 749.25856695553512, 749.60503132296083, 751.61348549823992, 751.70105310642418, 752.37727456410016, 753.31563193423483, 754.74602266110321, 755.18303230766003, 755.6506614261076, 756.28665944925922, 756.89539965380163, 757.50309487188576, 758.0210241102244, 758.94669231086289, 759.22538583514051, 759.45114195199312, 761.64805204874722, 761.87299495717616, 762.80012312558324, 763.42330597890282, 767.40914050014612, 770.60749992953401, 771.93124520286324, 772.03946324532387, 772.91831190539779, 776.26088684112312, 777.25466662361202, 780.18257721086866, 780.35251728140918, 781.78052247226253, 781.84058509512533, 782.90694593669696, 782.95199223767941, 783.18548816696727, 784.35793832540264, 784.80817688366108, 787.46064010529631, 790.31778875436908, 791.19778771148685, 792.05692180166329, 792.52219382958731, 794.47732082265827, 794.5932789031159, 795.69657242809717, 797.62084750848328, 798.2753556424077, 798.3177818953917, 802.18862867800487, 803.10084113653511, 804.2203016290174, 805.31752565289241, 805.91213235443047, 807.01905879834317, 807.27960997407263, 808.2768269073382, 809.08545775189987, 809.49533995877346, 809.59650839471544, 809.62037004123431, 810.58298820934669, 811.82642182284906, 811.93357422926022, 812.95583395333006, 813.97162946816036, 814.10040759788319, 814.41209007596456, 814.70756220893691, 814.76348144506358, 816.08923955407226, 816.1402345903158, 817.677320826563, 820.97972645880395, 821.45601288692592, 821.99558439351642, 822.17850531468525, 822.50078326202686, 823.26428380716459, 825.86746998445767, 826.10347606523635, 826.68896557962194, 826.74497219956856, 831.70703459762376, 834.89261980307242, 837.59758624054018, 838.31618589577795, 838.42800247469063, 839.27908077326356, 840.18663513370825, 840.2552927046554, 840.78597714641376, 841.50714070658364, 842.02149366650656, 843.39815065118637, 843.84978515866283, 844.22186296135374, 845.22329371987291, 845.31855810683237, 845.607550038716, 845.93107461562533, 848.37809574996254, 849.03402872283289, 849.8198205099095, 851.10501062118465, 851.52955548889918, 851.68302043685378, 851.92783656827964, 853.52448533002018, 854.74805733721894, 855.09736004498563, 857.3277920525727, 857.62005178321976, 858.25796751807172, 859.48190524798042, 860.36736600244535, 862.52855845110867, 862.71219277626813, 862.84212274726633, 863.34340931211455, 863.68500763294435, 864.74582851139962, 865.86241692922033, 866.27285349098759, 867.26070971606612, 870.24417325386935, 870.28687629130127, 873.01719234249731, 875.60386540811351, 876.12470804766429, 877.29128342686158, 879.29299320503412, 879.38191210501975, 879.8907596129751, 880.60102055069706, 884.17466676625997, 884.96172436784957, 886.56239157180607, 888.66968628907227, 889.36874356193982, 890.07179585135032, 890.39306943893712, 890.55666184292079, 895.72866508798541, 897.02937770601864, 900.71632562986861, 901.40714607807274, 902.14004626658345, 902.82188212337996, 904.35954078724455, 905.19234838624845, 906.1454621971518, 906.2585468978026, 906.69823805737803, 907.05899935590651, 910.29876605001232, 910.86449497014178, 910.94042133446828, 912.02645811496041, 913.42408348900926, 913.59471081288461, 916.15904649392724, 916.54324253539539, 916.75811067818938, 917.15767937308976, 918.0278938707936, 919.42864615142821, 920.84599353103988, 921.03728063710241, 921.3150817609735, 921.85180450323639, 923.27877454412248, 925.12962517166682, 927.29558454670712, 927.9563439801492, 929.40328486216129, 932.24494163597615, 933.13738929329907, 934.11857886359519, 935.30025407128051, 935.74725611018187, 936.87988643121207, 939.00007726394506, 939.73363823424597, 939.80066824559105, 940.01251014668981, 941.74433023514041, 942.02445127693545, 943.26960931648864, 943.5761369547721, 943.73617510668134, 944.18456310988904, 944.27600711960099, 945.52773982656845, 946.29208311146783, 947.51098946035165, 947.92349589943672, 948.50753055251687, 949.4566804220608, 950.62532656641883, 951.43004618235875, 952.54020629312743, 954.75715241940122, 955.72861294691199, 955.75810584839689, 956.1817012110846, 956.38411121333365, 957.95938515150795, 958.28949083899192, 958.38819519703816, 958.74753845629971, 959.00426504560869, 959.33498187657187, 959.80876534744129, 961.2985636038477, 961.5829341779463, 962.19885264988852, 963.84700645329679, 964.07998788752286, 965.11246612642049, 965.15384842241315, 966.69145204757501, 970.95976936539466, 975.85115864297745, 977.96190090388643, 978.25939119836153, 978.30146879947176, 982.06142712756491, 982.0829398596303, 985.5178797059242, 985.82312932692378, 988.01427173162858, 988.98174671185132, 989.92703690486235, 990.16105302038739, 990.26469104272974, 991.04724067881011, 991.32890743010068, 994.32999236621163, 997.05410064346529, 997.91612552087236, 999.36118985781832, 1000.1625400569624]),array([10.801373453384732, 11.107622059925195, 11.700279895359797, 12.952404253879308, 14.001047680653343, 15.311229000449964, 16.564148783525685, 16.846830190866147, 16.999374351504741, 17.138525821304935, 18.334952718140716, 19.254240937578544, 19.718289963192817, 22.685539483202952, 23.120818159089701, 24.894544102777559, 25.718179188013259, 27.702429586230515, 27.906941298892175, 29.907442684931354, 30.126757448692427, 30.166416984379978, 30.215993905483732, 31.599973710566069, 31.919268323103292, 32.408149976020887, 33.415150075779707, 36.475416754812066, 37.226581573702028, 37.559286248466499, 37.589561064988416, 38.783555966190342, 40.419588692893832, 40.959098009543659, 41.597717374874442, 42.129028840457778, 43.036849654376581, 43.499588893832303, 44.816931268212059, 46.294762473865482, 47.067446402702451, 48.937874728080075, 49.218292442091979, 49.321019432920401, 50.073836987707388, 50.605669779413688, 50.743104070563255, 51.409203083854564, 54.782141861506283, 54.8997555374917, 55.275895650303042, 55.896524743246658, 58.393810430843722, 60.049640565039198, 61.4212614010506, 63.560683833952758, 65.034372842096559, 65.113988227074032, 65.300353368154333, 67.031413236441708, 68.278398952226524, 68.897284950362888, 71.026598470299817, 71.126709092544033, 71.19706470911818, 71.392809294367481, 71.883247933908521, 72.86278440683958, 74.19478880262136, 74.397285241794648, 74.5442529356676, 77.261189541842512, 78.286726400801697, 79.016384847767227, 79.293661808371112, 79.651177405680059, 82.135305363082466, 82.751266111834013, 83.058880768661894, 84.528931487571001, 84.60259728019345, 85.063509666112552, 86.018873051344102, 89.157451037214841, 89.931483437578123, 90.395587044397359, 93.030786751830277, 93.969377785526461, 96.459624780983475, 97.482929221216708, 97.984923684277661, 98.483267326147242, 99.423116000086168, 99.840075821448636, 101.53298485017626, 102.00988819248779, 102.62782768825834, 104.07072726201358, 104.97375850116801, 104.99703183134319, 105.29089952573956, 107.29014683245482, 108.73148578924538, 111.1547635730979, 111.23985783744153, 111.68044700841544, 111.8378547752981, 112.69420040796783, 113.23240519635058, 113.54123232629571, 114.13896675247574, 114.61376644415748, 115.88970777632322, 117.07716038400002, 118.33760393756639, 118.43829863944109, 118.52314448549704, 118.6384445942481, 119.167941122633, 120.99502780377853, 122.84452348497719, 123.14593084118781, 123.93569484812652, 125.29922401974694, 126.24524920521974, 127.50778828501885, 127.89722268902278, 128.89627096122123, 129.27746784421245, 130.19772002439552, 133.968845134981, 134.15479064387972, 135.57858331500299, 136.15195770123103, 137.70008826612485, 138.77413316031499, 139.07176350490855, 140.83724006056667, 141.78314546668096, 142.08871856000593, 143.28947935306132, 146.97996556053269, 149.79070494477568, 150.00279855516669, 151.9163491174036, 152.20259162844786, 155.25930178610386, 156.16125301359892, 156.59661493478126, 157.1127672553437, 157.90800405271759, 159.09757892229263, 159.31066905571819, 159.97198445159859, 160.26940584797558, 161.44570473259995, 162.75776520395127, 163.02023847940586, 163.06475021075832, 164.33806500160748, 167.2431673595469, 168.01067228121346, 169.48701509077139, 169.71810456801225, 170.78211857853833, 171.03503335005701, 172.11445687666719, 174.05165969117184, 174.5126899911433, 174.54085018922379, 175.96502237144838, 176.36629573895877, 178.18091464358562, 180.20144780494641, 181.61966093320814, 181.66947332488053, 181.70410345473059, 181.83012722863074, 183.40639710030058, 183.49605379448553, 184.18855767770268, 185.71840778931767, 186.74835161118656, 186.88874336576509, 187.02128012579871, 187.77706368745282, 189.31377111420048, 190.10602134483321, 193.45013226534263, 195.30683581720891, 196.0384513592569, 196.70835526988921, 197.91619698395567, 198.7357187384506, 199.40622823140643, 200.13679301490458, 203.28481058067834, 203.33706886318629, 203.87601115984876, 204.67147827300437, 207.26194829745461, 207.95178930216707, 208.24012190507094, 208.56373945116962, 212.54021296549953, 213.46719154971632, 214.57336246772078, 214.97616266286968, 218.55688203039131, 219.65800411487896, 219.99802853795725, 220.71120211110738, 222.45660091856564, 223.08532270904112, 223.69871287665433, 224.84169146515208, 225.06158296156894, 225.08315136047682, 226.19856061200392, 226.31376396986727, 226.39484551808235, 228.29587018688574, 228.32659216414925, 228.86093989178943, 228.89840131187725, 229.04469992374109, 229.60263151585926, 229.81353301010128, 229.89686372665309, 230.6604992524156, 230.91956896342896, 232.15088426497434, 232.29558692888071, 234.95262186424623, 235.52073960931463, 240.11308439932679, 240.19830127159497, 241.88980624112463, 242.4538489896118, 242.58682992333749, 243.36875161324139, 243.41034768058117, 245.30963062599545, 246.98620444781903, 247.77176896733189, 249.54815276075348, 251.08371859824928, 251.22771380244112, 252.21456786506587, 252.70778118979342, 253.71568184043124, 254.5580051601217, 255.27885449396055, 255.30449342468032, 258.14372439266634, 258.92503011554624, 259.16225433687612, 260.3126923381239, 261.60741214111653, 263.17964124553049, 263.87490427653734, 265.86926836362682, 266.849779182188, 267.17327642157312, 269.93394564456662, 271.25594180423627, 271.98800415363206, 272.53008791677775, 272.89718083969012, 273.25428949313664, 273.31091937972269, 275.12606413951266, 275.44643868542909, 275.90133862004831, 277.30654299002055, 277.55228557093739, 277.71099374385614, 279.06394131160135, 279.69228433469971, 283.01978449355249, 283.64070210217574, 284.59133918976426, 287.55990819120427, 287.76240723141996, 288.02895551857637, 288.83290152444897, 290.68605374705317, 293.2497043013268, 293.93703528658557, 295.56759422290992, 298.19769878377156, 298.47802491691039, 299.35006215374142, 299.74918021002833, 303.36064430221455, 304.11227015922896, 304.68693967675364, 306.25939205396043, 307.11637044081294, 307.26721549151466, 307.53947816148303, 311.06862305929377, 311.30931128996991, 311.94398613275786, 312.28675634084505, 312.70190208552162, 313.66119394289245, 315.2753211325749, 315.39733410714342, 317.69167292463794, 320.76166041562828, 321.4223034743618, 322.57285442568383, 323.37274449898013, 324.03860035347287, 324.46768414652075, 325.00063683094334, 326.8281434203476, 327.67973436896727, 327.70157564354912, 327.77605577517738, 328.01294579599033, 328.48414531297493, 329.47314903928731, 329.61646087195584, 331.09958084787058, 332.30923495372991, 333.16045232929866, 333.20255906529292, 333.93245593568588, 334.46844857646113, 335.67341915557313, 335.90105877382547, 336.23363729965763, 336.54781006488594, 340.99447694286806, 342.47205009679618, 344.00415693474434, 344.54308783547032, 346.45695397031983, 347.87843657426816, 347.98636535995087, 349.04793985509468, 349.34022160308723, 350.16858377619849, 353.69768866805163, 354.42872354866699, 355.19404077498081, 358.65654491615567, 359.11087591047686, 359.42235497478976, 359.63921813995302, 360.36534901265361, 360.60640369540977, 360.89009224296564, 362.56200693064551, 363.00530597665954, 365.24750002980034, 369.02792642769106, 369.81570741501201, 369.91528987956724, 371.17005639127848, 371.8174586589713, 372.17843871592339, 372.3797214328718, 373.31455655912407, 374.81614062414621, 377.99266009476111, 378.88110404800773, 380.89538309640636, 381.88507578934087, 382.71218731923022, 383.29639493919404, 385.78213604847508, 386.26535177106172, 387.3725629294733, 387.79011961249182, 388.52846664389642, 389.49503138142597, 389.71057754714417, 390.14118068675265, 392.91624068119245, 393.07227078430907, 393.28580325048728, 393.61638746691074, 394.18137955636479, 394.31969618320755, 395.38122506015071, 395.52537794767943, 396.11595761713812, 396.2411962289238, 396.88905221157256, 397.02995500277086, 397.55593590806848, 400.07415124714669, 401.69112299803055, 403.58237233677465, 404.72316842674348, 407.40680894632538, 407.43744618814293, 407.70774949913994, 408.21966520426258, 408.3675032597738, 408.97912610777826, 409.82707476920956, 411.5892068183465, 413.72057645936076, 413.77063298508068, 414.05200757023658, 415.0187284881917, 415.13896356667658, 415.56151692798204, 416.33233418691867, 416.78248489445429, 417.47642119921687, 417.54280889786412, 418.59659049794163, 421.75952532623722, 424.22894575202849, 424.53019610908024, 425.99700870902586, 427.38633269289068, 427.71307468852183, 428.80200939278711, 430.09557890799692, 432.07375367592527, 432.10286093699722, 433.0930149960958, 434.49212137050336, 436.3950339308293, 437.68086252994516, 438.63233189031962, 438.72385657998302, 439.60464586171099, 440.5014959845609, 441.62431496054194, 441.71972611499382, 442.50616945733424, 443.28665075169766, 445.32553076905123, 445.92111449917667, 447.95781358347983, 449.74743500656984, 451.79250095171318, 452.23767606150614, 453.03702632697559, 453.06624591198454, 453.35813137610126, 453.69675083076118, 453.76615084583062, 455.30225925360548, 455.83251174488572, 456.17470800081549, 457.84929418035443, 458.26432565508355, 458.32850031695142, 458.40572295751872, 458.81223734432683, 460.69634852055111, 462.208720927191, 463.13117235486908, 463.47126679792342, 463.98941910208481, 464.95046175121041, 465.91189977542587, 466.77989673622727, 467.05686475302332, 467.97442587865629, 468.10539041507985, 468.13741169136551, 469.91256145555872, 469.93904199518039, 470.17751253764709, 471.67753111365687, 472.4170082657829, 473.47792540501365, 475.6000496487888, 476.35479936400714, 478.82338367908534, 479.56893344057841, 479.63133938265651, 479.71547164650127, 480.49749500196987, 482.23641414747044, 482.86328495513033, 483.86889827414416, 484.1411968966442, 485.87377552027129, 490.25737813127228, 491.12112970782221, 491.37314634455157, 492.21211324598534, 493.34445500890399, 494.553805945286, 494.82354670278676, 494.97345562466592, 495.15659776690393, 498.18302584309674, 499.16928501992913, 499.3210431226064, 501.74493136452816, 502.02837670841052, 502.25174949335104, 502.33384454124388, 503.90775508164558, 504.09284003101874, 504.79904995347943, 508.18726165514823, 508.4747502049841, 510.71762183655119, 511.62953648805137, 512.39728993555264, 513.16482112693814, 514.41627212137587, 514.80584647406044, 515.15841110395502, 516.1527439367768, 516.88479391144847, 517.13631067060999, 517.30809315632428, 520.06070355316149, 520.91066948274363, 522.12489492281463, 523.00662253352141, 523.07064350164501, 523.18406047699523, 523.4186684113846, 523.48620942461662, 523.55658564162161, 523.72876520407965, 524.15224021244933, 524.86036318244624, 526.94625330597216, 527.2976127347813, 528.1736743536328, 529.44038666955407, 530.47881926056687, 530.84001746653814, 531.15947778209181, 533.0663848474162, 533.48660599161758, 533.60734333504411, 534.5870953992287, 535.71199284818351, 538.90443586753952, 539.67037456628077, 539.90515820362327, 541.25800048121437, 541.45488451267465, 542.13133040391369, 543.07877383031234, 543.13012290406778, 543.76658252796494, 546.067599580668, 546.3482063120739, 547.10740532563386, 548.97362871020027, 549.9979214090356, 550.69967185123448, 551.23652182314277, 551.75546514182622, 554.33821171868283, 554.57938893590256, 554.85995378268751, 556.38198315600619, 556.7111430507498, 557.21070611110781, 557.91365463017428, 558.72600777134744, 559.13825112341578, 560.64741825772319, 561.51424590779004, 562.3749351647715, 564.48433595923495, 565.06641811582767, 566.56641987859314, 566.96588287563725, 567.21377120658121, 568.66129775207503, 570.26151994173324, 573.05385263367657, 575.81394330138835, 576.2272424863844, 576.24804819224937, 577.18081993492103, 578.64430033318229, 579.24559715633552, 581.35389039508118, 581.52904454508541, 581.72426000233622, 583.16649512844003, 583.82481649307249, 584.25661797258908, 587.77159337360024, 587.9368200404773, 587.96473085506796, 590.62874524630456, 591.05263615452122, 593.20843229313016, 594.59047610753044, 594.77269754951658, 595.02352736424689, 595.90211339374127, 596.70785994412347, 597.88398220322824, 598.50850901013905, 599.12374030553167, 599.91706778017385, 600.04452516654919, 602.68995832919393, 603.15559343793871, 603.90334262905344, 604.70339906423055, 607.73063495393353, 609.50359642607145, 610.04081084239374, 611.25767981626473, 611.66194692899364, 617.4049883292497, 618.80894722270602, 620.14484698169417, 622.66563151521518, 622.70907650247955, 623.13529941300681, 623.4680821897224, 623.74977643644422, 623.94050122420254, 625.07583948087631, 626.18534461809998, 626.83797745509764, 627.16557401486034, 628.69746670024347, 629.19376867046799, 630.16319415843316, 631.03568221827402, 631.34358659866325, 632.11015447888337, 634.1587400015793, 634.42665103265267, 634.70715495416368, 635.18950790030306, 635.45087715424484, 637.64870624204707, 638.78884576201756, 640.06673863259562, 649.07537392641541, 650.28364863169429, 650.79433258333199, 651.82567452130763, 652.28472134938977, 654.14715718375169, 655.38442936541003, 655.68254886909415, 657.60648449330779, 658.18955306089299, 659.9924729691943, 660.10673811601487, 660.94871078378549, 662.40405062542118, 662.79634151950279, 663.01567727881081, 663.36586682451855, 663.86296052559692, 665.68659429032061, 666.34961861416411, 668.25696706617305, 671.41732791415666, 671.8862490294905, 672.62061101294762, 673.2583551616932, 673.55860716943243, 675.25852095486505, 679.33864046480176, 681.08747294265754, 683.14941497273992, 683.27895579951314, 683.41308909743123, 683.60202933288349, 684.07420074077879, 687.73087066363007, 688.61321348099284, 689.81903294714709, 690.05425267483145, 690.14693775250657, 691.75570772417575, 693.00335884821595, 696.89144780613367, 702.55786353905728, 704.07288180400053, 704.84759794651609, 705.12173652032391, 706.53778577463697, 707.84849960516829, 708.7300236024081, 708.79607494058564, 709.16823682821018, 710.31273573896237, 710.35012221195609, 711.47477282012051, 714.45461119341587, 715.56184006997046, 717.21652557751383, 717.46082404795277, 718.7313804836291, 719.18623883549071, 719.60397393864002, 719.71516900548011, 721.55855608405909, 722.47032624122585, 722.83923103400969, 723.89919340479582, 725.51334957398069, 726.92320738580759, 728.69782789343265, 728.86780573048406, 728.97518830634408, 729.04798485998106, 729.24173157017731, 729.8736311638354, 730.29059040493962, 730.93095737300177, 731.72455157673835, 732.84389049817901, 733.59480475160399, 734.1483202172584, 734.79721209988179, 736.7532157520485, 737.30202599347149, 738.50674593449264, 738.64548848601328, 739.06435019606033, 742.92271589816983, 744.75673816944118, 745.85286625211779, 745.93383223653098, 748.23921203468217, 748.35709699932033, 749.68334183498075, 750.24137988050461, 752.13864596407348, 752.566707828105, 754.4166967307126, 755.05556398166959, 757.74135877795982, 759.70546235404277, 759.74005841058363, 759.84771834505261, 760.51634500610533, 761.09995934952667, 761.97957195531342, 766.34444154604637, 766.94777634713273, 769.41642089003608, 769.93550976895585, 769.97747022686133, 770.11140263498191, 771.09048228013796, 771.78445440635312, 773.68338666264776, 781.33227265030587, 783.79642577354753, 783.95740576540436, 785.39301088958814, 786.36724357540788, 786.66563951683713, 786.96802015259993, 787.9100081397911, 788.89639255196619, 792.39399085811147, 793.48321054038161, 793.94695028275964, 794.18665413064514, 794.97935116870497, 797.30978825069485, 797.6729449716255, 798.28567831515511, 799.38970434520934, 800.59634463836426, 801.29547463018105, 801.54708690736641, 801.93354524835593, 802.86661850687244, 802.95208750351117, 803.57868532920008, 803.62566183348281, 803.69713994158587, 803.83301751704778, 804.07403073478872, 805.77307812232129, 807.77805710179962, 808.06569738518783, 811.23194680936285, 813.40144829691747, 816.89979528977335, 817.25590566089124, 818.64133647332631, 818.86300635254622, 818.95365908483348, 819.16099369239134, 819.68714407439563, 820.30916618424919, 820.36689595051871, 821.28097406744655, 823.10568763211859, 823.75918239191992, 824.70526974125005, 828.16652987743657, 828.71364427779736, 829.06918719788393, 829.68560542885041, 829.73415734456808, 829.77909744352814, 830.41220520218883, 831.20671178992438, 834.49083903764563, 835.39974368629964, 837.14211699716645, 837.34303795838468, 838.71175053371837, 838.80205866976723, 842.43262180078011, 842.90487663841338, 843.33221871223282, 844.7680040167179, 846.52136673425605, 847.42796454234849, 850.11461114240001, 850.84197466231819, 852.38862366143019, 854.06436989452652, 854.14999970746464, 854.39442216155987, 856.99325196873792, 857.86750254029766, 859.25146880381658, 860.87413312919887, 861.70979818180706, 861.86974191688114, 862.43532032360224, 862.60599236817825, 863.06069848045342, 865.79102054338682, 865.94344165122368, 866.51954539885082, 867.06402575940308, 867.5727449311911, 868.04884752787939, 868.51542301054531, 868.93489636370612, 869.13773051831913, 869.59789792922243, 869.74071866229349, 870.86396916834133, 871.15209843578225, 872.00650773145901, 873.427402283182, 874.1689388835556, 874.79618289195412, 876.11340195651064, 877.2951955436713, 877.89034908938493, 882.13273180900228, 882.81569268145552, 884.7499911909332, 885.11268644044981, 885.64036451187269, 886.07264907935337, 887.29755139761562, 887.31855004143563, 889.33894208981098, 889.71149624766815, 890.97168422884215, 891.61273912273748, 892.98170921028259, 893.17853720808057, 893.36948372620611, 893.99972115030323, 895.51140831960186, 895.5995365164448, 896.41705461093954, 896.61133203837551, 897.19141493884501, 897.79138278907033, 899.78568494214574, 900.39595783971652, 900.92574973197225, 900.95733470171774, 901.67791444803197, 903.94454672886684, 905.14024702628626, 906.48769404092548, 907.76637234880036, 908.05326741849115, 909.21678761032877, 909.84892224401688, 911.91583357844229, 911.9879607328927, 913.17518019447243, 913.3802173548678, 914.76627672039035, 916.0468253932271, 919.23423016582638, 920.50389251963236, 923.43157818090697, 924.5416292858315, 924.75966037079229, 925.72698948723007, 926.42214370227157, 928.2187400880091, 928.31390924165407, 928.94922000123836, 932.49921053131072, 933.02073179464219, 933.13787793627341, 933.7914154443763, 934.86671404829258, 935.41071023565576, 936.7829170615056, 937.29210511249471, 937.36056996600689, 937.76094373102001, 939.30542687611535, 939.52448307977465, 939.6792184272748, 940.74467258741993, 940.78678130766798, 941.70105419650156, 941.79641389130006, 943.96376957993118, 944.12697252406997, 947.50410510894972, 947.74498131715336, 947.7849866062802, 948.01564251310708, 948.54140352925572, 949.70660422623564, 953.91728534878234, 954.05855010753544, 955.24852692447973, 959.02671876778481, 959.34815815574984, 961.15055444907978, 962.14387212567067, 962.71228323194782, 963.06542469003728, 964.35439191096123, 965.68928578096245, 965.83407785235306, 966.52338232936211, 967.12685143010776, 967.62346210630562, 968.42561713350392, 969.80976000533542, 970.38618001037196, 970.48098785743036, 971.7288638859975, 973.02602523778796, 973.45809351691526, 974.596854981462, 975.21673750436707, 976.8724721395082, 977.78311169970652, 978.29080229923795, 978.80957640748568, 979.9310712930403, 980.0235246879804, 981.0420693085747, 981.30491915047935, 982.56028832253787, 984.03261990529472, 984.13555454319066, 985.79095778595627, 986.3839863565438, 986.99013077557765, 988.75913162361906, 991.70757171700177, 992.02498020921348, 992.35036051764064, 992.60664616268491, 994.01515614174127, 994.51692786902845, 994.77806726052222, 995.39277141773573, 995.69186596508212, 995.91556083435285, 996.52372589471736, 997.26527821353454, 997.39577925148342, 997.54595170245318, 998.94911412772535, 1000.5081773352018]),array([88.396411600169998, 90.438844286922958, 91.618302906057679, 92.118289356987006, 92.218793566674719, 92.241627541688345, 92.285174488063149, 92.563432148916206, 93.475794141813182, 94.191723247425927, 94.784239942628702, 95.14371746331021, 95.360403065313065, 99.418758346481312, 100.93539190840931, 101.41715104777411, 101.63368285949005, 103.05934532994515, 103.30525343978164, 103.86307916908237, 104.1774796234597, 104.57987327968833, 105.45089684365368, 107.4357834588797, 109.84420342109708, 110.36862663636248, 110.51409360042227, 110.57235196902849, 112.50233418854002, 112.56566480220275, 114.6438833504204, 114.71161070283908, 115.25111482405987, 118.65317202019904, 120.49708743212906, 120.73986201756651, 123.36852635496032, 123.9654890087407, 130.94810969689863, 131.55175673944834, 131.71901373252359, 132.05427990210646, 133.24915141316825, 133.55906696783407, 134.68324287002747, 135.97444285346148, 137.39104567268274, 138.90870536107198, 140.1962844055372, 140.34194306482007, 140.45155284185469, 141.18394883511075, 141.89521290765043, 142.16197024484561, 142.44726591749989, 145.25489012331997, 145.72446708474851, 147.41680948437991, 149.28792997256696, 155.21556354759878, 158.86223731492885, 159.56159547240594, 159.93848364918341, 161.29150119309278, 161.62080534600028, 163.67145222904819, 164.69541688055605, 165.90566966453139, 166.9865961812944, 167.48252070949854, 168.25545645629282, 171.96668885224582, 173.38652442054234, 173.88278663439374, 174.40156357642999, 175.01122190729066, 175.58425886380283, 177.58274816315287, 177.85395982624019, 179.4097326789759, 179.46114006098912, 180.28218804848024, 180.82046602962521, 181.01666174524999, 181.4660934739122, 181.51582059170985, 182.00286631667134, 182.25477036974306, 185.39483208207841, 185.69550579549235, 187.59043604308522, 188.67446921162983, 188.96555926418679, 190.15307414910157, 192.84189717511478, 193.70982435247524, 197.17780243901504, 197.33097533443978, 198.06752408732959, 199.08115105505775, 199.24574164498051, 200.15823307750156, 200.23601240347355, 200.3514666172965, 201.22044724207149, 201.44018853914329, 202.690163262525, 205.49398467055536, 206.55422880105942, 209.763756522797, 210.14208490638552, 212.38972852277954, 212.44541133700085, 213.80519654094419, 214.49517766181867, 214.92856947872568, 215.52125238454985, 217.23432867360509, 218.7241899661895, 219.14029808650238, 219.3675162261321, 219.55700999883447, 221.30070234752372, 221.67068494012238, 222.85662260561469, 224.90792618884294, 225.22309460308651, 225.67714560884804, 226.44764039970462, 228.48491695175665, 229.09983230957363, 229.48613322498116, 233.34459602551317, 234.0087795243351, 234.66706962861539, 235.03779755721638, 235.12021500329047, 236.87718081819514, 237.42635558003599, 238.63708872458855, 239.21183368089027, 239.79644569794709, 239.86274332913331, 240.19354273607695, 240.25280661249579, 240.89703097349965, 241.13331197630546, 242.63472071153194, 243.11678696758241, 246.94488104463753, 249.25771407515614, 251.58418066791688, 252.49733214185895, 253.17678900540895, 254.53502048534321, 255.32945874709003, 255.54485577493318, 256.3278710966801, 256.81099158347905, 258.12382428427986, 260.04597819880223, 261.08558310913156, 263.39648127322812, 266.49163802536123, 267.35204557384225, 268.12801709817739, 268.91307428548566, 269.72187228232809, 269.92614560788326, 270.90736783230858, 271.19262527926207, 271.24711195357133, 271.40903150781639, 271.89601067927521, 274.09048870203031, 274.21689233472409, 277.06222917458103, 277.92599431394586, 281.19984042729516, 282.74725610262959, 282.97960197768435, 283.41584757027533, 284.09299997925933, 284.13942546774712, 286.11361650887119, 286.96680835690438, 289.3583653737403, 290.86139010786758, 293.75562866667326, 293.93913551893439, 295.99652355330863, 296.82806973476983, 297.61930128529832, 298.48859210056133, 301.88113726861616, 303.11275989884535, 307.24395552950892, 307.35269188134095, 308.05885372988178, 309.07997086374178, 310.11922026923224, 312.04954890862638, 312.25628789555537, 314.59324167878935, 316.09878533986176, 316.59059581773317, 318.43486692585037, 320.60265714312993, 321.77398003096476, 321.96009508701803, 322.05213808482051, 323.48945945345491, 325.31429417932128, 325.9519597507603, 326.62306233400199, 327.35291241628619, 327.59861133177708, 328.95655277544148, 329.49770862856758, 329.76318331321016, 330.36528212550974, 330.46895743617978, 331.61039477991363, 332.28272966508405, 333.17073955362156, 333.65808337951523, 335.16042785652479, 335.2159921272289, 338.84103184256327, 338.89512259108227, 340.89183058179515, 341.16620202433228, 341.63795174568577, 342.37052051930004, 343.95701077347485, 344.25390815148461, 344.72294166120116, 346.20049581698947, 350.12155094792223, 350.49108129576013, 352.10522612466463, 352.79760954578626, 352.87086328262848, 352.92855041384098, 352.99502343310604, 353.10309750732876, 353.37950165499365, 353.79373618189976, 355.95657928725439, 356.94017658441794, 358.99637093586341, 359.14682239462252, 359.34696778028251, 360.12016853851424, 360.86523421130568, 361.55465004687477, 361.60145100359227, 362.14019049278551, 365.02649664897211, 366.01719007983286, 366.59951498990279, 367.00673954314465, 367.14759894023678, 367.57472240322767, 367.90191939555325, 369.5141400470697, 371.73533715279717, 372.29068116284202, 373.17427132288594, 373.27387058697832, 373.98195639036396, 374.08561623337022, 374.7593644334728, 374.83320377529952, 375.89521279049524, 376.20189205348885, 378.9459429178512, 379.36648824479681, 380.12316049014549, 380.49369135155962, 381.64396755157782, 383.41026253846286, 384.70438497287614, 385.71847662207637, 385.95184020460164, 386.63985523317729, 386.72727780780826, 386.7626745556222, 387.86082035284682, 388.00218197875637, 388.3481265692709, 388.38920540684404, 389.40853891406863, 389.67565125943588, 392.22723001205691, 394.74394460997979, 396.10266614783717, 396.4233099961757, 399.13458078832952, 401.17662438770742, 402.37644975707298, 403.36624115485432, 406.04290800263442, 406.35470368928901, 406.61338201788607, 406.71616398114389, 408.36218764351173, 408.4983764951017, 409.67228938526307, 410.93130797524805, 411.31237322751917, 411.56910114065414, 412.40231631675647, 413.03276934843558, 413.69767697363227, 413.78430816379438, 415.88154622228052, 420.4429956121283, 421.16781823180662, 421.59641130566638, 421.79917543830544, 422.7186577407648, 423.03610718026397, 425.23614994098955, 427.00494365811983, 427.94676619888281, 428.26467293384223, 428.30144629313884, 428.83690604687047, 429.93672228895684, 433.94186420149458, 434.3224222070013, 435.29076220069391, 436.31041158936148, 436.4026783859569, 438.20372335466971, 439.99204225968498, 441.35986076003479, 442.42595307388336, 442.51882245982921, 442.60348343664617, 445.01934258149322, 445.4504942218951, 445.61154331309223, 446.03207310176037, 448.37269381528864, 448.65024132812016, 448.73036033657655, 452.6687980192828, 454.81347467927253, 455.14153861494231, 456.97923089211855, 459.21307736409881, 460.02942423188421, 461.00407227637237, 461.4485466972373, 464.43907924960428, 464.61268235336172, 468.24967921006186, 468.86259195888402, 469.5675467099112, 470.43793837225246, 470.54088736695445, 470.641431675955, 471.14468419666474, 471.75707287343698, 472.52937323470917, 475.53607903893294, 475.64102304634901, 476.92758319610243, 477.8470440041325, 479.71914584193854, 481.11411518506213, 482.70882139189598, 483.10785958803888, 484.53075497895003, 485.09800603988424, 485.22205820908982, 485.65311168448278, 486.31866603485469, 487.5522880645093, 487.82993513901158, 487.89865776386057, 488.03465670334032, 488.14333258264651, 488.55705639303704, 488.95415992798593, 488.97861846263805, 490.97394223014015, 492.59802441691926, 494.43437709769819, 495.5726088613165, 496.91226467348366, 498.54182041434939, 500.12640389391868, 500.93598179451664, 503.75215022404979, 504.31832874558444, 506.67307654645697, 507.05007925328005, 507.34427061894922, 508.85930795173806, 509.09226425122063, 509.74248089035569, 510.25669097573018, 512.8495725202348, 514.41720789353428, 514.51424672295661, 515.24781481246998, 518.20245632520107, 518.99560342554264, 520.7697056613348, 520.80104599640379, 522.24191295365029, 523.104579042973, 524.04950765227215, 524.2942970371688, 525.13287987946467, 525.51874603639726, 528.62651647850646, 529.02574657817274, 530.39986406606749, 530.50947814902418, 532.22922118647944, 532.96319113107143, 533.2697953323958, 535.65732047286053, 540.37871546195925, 540.48271795665164, 541.03333521661796, 542.57091909312271, 542.6039417731082, 544.28105284669209, 546.17176061911073, 546.33264197893141, 546.56325869380169, 548.43840266517645, 549.49678190052441, 552.30718980738891, 553.14222800795437, 553.78770722615866, 554.2284923624261, 555.93527658955429, 556.32860794783744, 559.08305596151354, 561.06090504810868, 563.26941117520062, 563.81373185279654, 565.52956919534563, 565.87207295835628, 567.15796678421339, 568.83838098622027, 570.4926306958896, 571.88839582095, 572.75595193448135, 573.42466213167302, 573.4638490414161, 574.7341635838651, 574.83828907715713, 574.94733492397631, 575.26164192089095, 575.40762145833367, 575.55141041446382, 575.7152101772059, 576.11633765909562, 576.30740540334739, 577.29819251480637, 578.00762975162604, 578.35811258571869, 578.97066532544488, 579.26470646286577, 582.36921523614444, 582.56808438191035, 584.21197964115072, 584.62099265165602, 585.33309946392774, 586.84765769646333, 591.4289286130105, 594.72093407397381, 600.51670186695651, 601.77029983448676, 604.55954765232673, 605.40903424761393, 605.9965173344699, 606.7930609054099, 606.89109553565788, 608.87597536697592, 609.44611945616998, 609.54215124469829, 610.33818669300001, 610.83927502629183, 612.85840840111416, 616.23802388765728, 617.80621668241713, 617.9315564503222, 618.2140982045396, 618.2615696246296, 618.4518538712008, 618.88596940157026, 619.60264493427235, 621.69961999755299, 622.00555500521307, 622.6848140614286, 622.77980858742671, 623.15198230678504, 623.26478770869119, 623.45517557695564, 623.51642164090754, 623.83855474463087, 624.59948422351283, 625.20767876892694, 625.33545226506624, 625.87056280162744, 626.06279001207906, 627.3245969165871, 627.34708959426962, 627.9908422972984, 629.67875137944475, 629.76704005533531, 630.55367000044168, 631.44572084128924, 632.67867802792421, 632.8975097411444, 633.01958549710457, 633.80755312590395, 635.4015226503883, 638.17212668533534, 640.0906500084526, 641.62718572829135, 642.15388411123195, 642.91648406565378, 643.33404503143856, 645.89415050841399, 646.21409405005727, 646.47409974745847, 647.59662127017828, 649.52292179505287, 650.08356990435107, 650.37083649381952, 652.09749940265669, 652.49926919530105, 653.19385205574906, 654.70322984708105, 657.73811391702782, 661.29178560057142, 662.4931316943098, 662.96867883412301, 663.05023444174026, 665.39415682810909, 665.48631100520072, 667.97193633364509, 669.42155624191219, 670.04020701857246, 670.26353379441161, 670.61347199690147, 670.81910392826444, 672.99679374947516, 674.71426118481315, 676.18315930781012, 677.19174651975709, 677.58530712979689, 678.81850212533811, 679.2322074648722, 679.79399606467348, 679.88878642059319, 681.62782173497976, 682.406382374136, 684.29506973200648, 686.71910569936801, 686.84985126864137, 688.02575893308142, 688.1718351621688, 689.25350519697088, 691.28541994323336, 692.79663744569325, 692.83666480596457, 692.91742847706223, 693.31540586933261, 693.82138157040788, 694.37095678661115, 695.30055667293038, 696.08137417734133, 696.13719426760508, 697.16801751414164, 698.88957109961859, 699.17588412069586, 700.42650071155833, 701.15126817725229, 701.20863254303208, 701.8052161687242, 704.02317578056056, 705.38610387255108, 705.51923313476686, 707.41941323222852, 707.70412532106548, 708.33246055766347, 708.48974235307128, 709.97366591292609, 711.63238860647982, 711.75990577309756, 711.94623942495969, 712.71481669945251, 714.76228233658151, 715.58092547838362, 716.118533817095, 716.48067378529572, 717.00991377016965, 717.7144225864597, 718.92080608212893, 719.78814910988967, 720.03486344126316, 720.57539304515967, 721.92916558392403, 722.21543875347663, 723.06914988981714, 723.5817846090232, 727.17693162116575, 727.36533644458336, 727.82568928941623, 730.3332661206673, 731.55338245620851, 732.41026071419901, 732.71954244726157, 732.76651507279087, 734.50097470601452, 734.67055963359269, 735.6279939463177, 735.77283927639496, 738.80608242461199, 739.90562184791668, 742.00223631088954, 745.5122423796679, 745.80491353654838, 745.85788985756074, 746.60001950993058, 747.0241484038097, 748.72132599100803, 749.25972918745754, 749.7795889060576, 751.16536525521519, 751.72369338612316, 752.83522596063415, 756.33592397830262, 757.06857268357066, 757.69091905930907, 758.97382345700009, 759.01096869163416, 759.08746467232015, 759.56182832184027, 760.27906377791101, 760.4940676089617, 760.77434205202474, 761.84116412161632, 764.64050493866671, 765.45543650867182, 766.53775244014594, 767.2371239262136, 768.03742855070948, 768.13060100276596, 769.7349303731927, 770.19137527359874, 770.32022132676252, 770.53800125272335, 772.57014214968467, 773.53845498508508, 773.98942456144835, 774.74817049816079, 775.12308311843378, 775.72328488920584, 775.88757010125039, 776.7544411839682, 777.31861940359602, 777.42946143322627, 777.78551865299869, 778.84110106819207, 779.52340550849306, 781.66308372654441, 782.4758023949538, 782.59441467898989, 783.094379120962, 783.53684323519622, 784.64101528127458, 784.88441398453551, 785.45909421890951, 786.71482955432271, 787.0267725092209, 787.48063311573389, 788.87545861360798, 789.32347303565041, 792.20694491847883, 792.61764828862601, 793.29479719222911, 793.53750139683063, 793.61114241805944, 793.68509222320006, 796.06631121112866, 796.36071031155484, 797.8856271261327, 798.97619661410829, 799.15255086047125, 800.29552029654656, 801.59427173566849, 802.17532754583374, 802.51120529014759, 803.48042326707446, 803.51044929579143, 804.06335185355692, 804.91190014031542, 805.18181001282642, 806.36954948015853, 806.7460383413196, 807.65597924021711, 809.39086687531869, 811.38386869627254, 813.4474823476545, 815.52084833459514, 818.2069741218761, 818.57726660037838, 819.20795803576254, 819.84117203348092, 820.52842814257554, 821.47342124377201, 824.43816087102607, 825.17709826071882, 825.94034498914243, 827.07365717006098, 827.22524054788801, 827.39423801311773, 829.32058065168735, 830.23180261758159, 831.03632031332927, 832.26622361463615, 833.44150807785365, 833.56324061345288, 837.65096061972281, 839.3586011493453, 839.45415188738866, 839.88308625430614, 841.34462182239736, 842.09573214862655, 843.3727458732742, 843.42813210175325, 843.98020859771464, 844.03557806579329, 845.35544516000402, 847.40111038977989, 847.89622039195922, 849.64188628326917, 850.6600659908031, 851.69472458050234, 853.24266975654029, 853.99974403577085, 855.78020884512546, 855.85575529636503, 856.24732842206322, 856.80852427921025, 857.46772117542923, 857.55488456938792, 858.14078140792128, 858.35247098610228, 865.6558385848009, 866.07851763373162, 867.04126969209312, 867.24749321295326, 867.38854470706747, 867.99649633282718, 869.26327233647885, 870.08586876186325, 870.46788170183163, 874.60765180069609, 875.40558860936721, 876.48103166941326, 877.26953425064175, 877.56773124281813, 877.74269592643714, 879.23769767233796, 879.98204406908405, 882.23321130818692, 882.36358379188505, 883.38442827917277, 892.14607273335434, 895.80437202521091, 896.11654670565372, 896.96138430108272, 897.12659171087807, 898.72078089421348, 899.95354857647351, 900.67354557214742, 901.48871929262441, 902.2516140681771, 902.77816533406019, 902.8479496481018, 903.910063722936, 906.43233265708716, 907.11976578887095, 907.27017879538016, 908.23595570776376, 908.91396904025305, 909.52669705716198, 909.72169758122959, 909.86754033604495, 910.88781275516703, 911.32811152674537, 912.6978694657671, 913.36474988848113, 913.65712368594268, 914.35393722812034, 914.57655089838408, 914.67527776840313, 916.26572203678825, 919.71604143179923, 922.4754758465233, 927.99808297293225, 928.81585510102661, 929.2416450334207, 931.23301714688535, 932.47014257003525, 932.70294271974478, 932.73156223811895, 933.68935590024626, 936.61679206946701, 937.11889078462514, 937.53381361259449, 942.88270070214969, 943.94189331651626, 944.02572191484796, 944.31907411131192, 945.55216471222684, 948.46162590261724, 950.00143814589796, 952.02395314576484, 953.07639349741964, 954.32078741300381, 954.65794873994912, 955.24723903317783, 956.88588293908981, 957.03869263213983, 959.47284436294649, 959.85872407725606, 961.6999133650429, 961.8273878115881, 965.81301290020428, 966.45224833564419, 967.95134362945123, 969.74835586998154, 972.40950292033085, 973.24008403329924, 974.02616401489854, 976.10352149132939, 976.94284836665281, 976.97010872753265, 977.71669257239307, 978.68665551821221, 979.0800538760767, 979.56435715142004, 985.34296868872991, 985.91721816879556, 986.02649683930611, 987.31081343390053, 988.91445522912852, 989.55271182125921, 992.03452059496976, 993.02413092283052, 993.2833929171145, 993.35083487517909, 997.10416138137055, 997.95691862338049, 998.06001004147333, 999.01548586311958, 1002.3210128836274]),array([23.409111971393415, 23.630305416740772, 24.132191444386081, 25.204140916117325, 26.904972736563934, 27.302436194831987, 27.712918439991565, 27.888270320211976, 31.136637500574253, 31.172125850452119, 31.246194794458486, 31.52729774544532, 31.578870548061481, 33.885369128605738, 38.364593369845487, 39.165471346344859, 41.57214608316805, 42.359618776593813, 43.780268014054499, 43.841767974085343, 44.585880655170882, 45.282472659552134, 46.065870579739716, 48.309879691721022, 49.995804342825792, 50.581066645133859, 50.988051628947225, 52.616427340185886, 54.25894611467259, 56.187477603123412, 56.962762940356519, 57.197486461434011, 58.003445660838331, 58.757252476134489, 58.882350394591484, 59.503826522311478, 60.320855985698699, 61.987581317112948, 63.965465295543964, 64.39282119871946, 64.587984326619548, 65.286007305861361, 67.44916256413596, 68.833850330812368, 69.574071879240122, 69.849240337281188, 70.114254442030173, 70.186215340810705, 70.819824065454142, 70.840811214327104, 72.103675406793599, 72.8914871767292, 73.241219212252346, 73.384193946082391, 74.471793339339499, 74.716496879201486, 76.796193175596557, 77.818826910100285, 78.617436191092594, 79.48165581864103, 79.63643286336162, 79.897884245478437, 80.305505350756846, 80.838277991188264, 81.434870309816688, 82.186047555945947, 82.246303024932686, 82.296684018040736, 82.494070500472432, 84.476278693774631, 85.344587542503007, 85.822587461635905, 86.078089228624378, 86.535612054803266, 87.425165424854399, 88.232647189907354, 88.656153070095485, 89.102239530511085, 89.322524476181073, 91.043154009113792, 91.497382967597133, 91.982444899218706, 92.29577426361557, 92.399026110081593, 93.723750975164023, 95.408267560029046, 96.057944430525964, 97.437214887565688, 98.48423590866355, 99.669617015404654, 99.722604739108107, 100.12818975038671, 100.27366834051223, 100.59321741488995, 101.32827268411793, 102.60064631420089, 103.14158475275087, 103.7931814870955, 106.02378006214889, 106.26211666030936, 111.15920372600051, 111.6369165432958, 112.19228273596627, 114.74108120647165, 114.9587432274641, 115.33063392831042, 118.40557801125513, 122.38933687288097, 124.37085381692414, 125.15654066668978, 125.64282267628781, 129.12812405137126, 130.6607051285913, 131.65846952882549, 132.05279913615971, 133.61252270518696, 134.07981731733557, 134.54706315885227, 135.08393042474222, 136.19398838768274, 137.09391771457155, 137.12655090834258, 138.75596104830493, 143.44240226857707, 143.70141616355983, 144.32176401641993, 146.15613292170144, 146.93696741232336, 148.58762246619088, 148.94236748259812, 149.94556619136452, 150.68574670326649, 150.86906642875277, 151.68521853320578, 154.115365321393, 155.09216870721355, 155.25570398119913, 155.79018692452496, 157.25477409097232, 157.40758144997363, 159.42547901200817, 161.15154465554284, 161.47310610888394, 161.70716374151223, 162.8460631504403, 166.33745921276483, 166.90876114234621, 167.81530677964463, 167.96997895443167, 168.13745043923979, 168.16924953394201, 169.41627426564955, 170.14709302334811, 170.75283552299632, 172.4485816712087, 172.54531356534108, 172.66962794498886, 175.00367431632694, 175.15648572703191, 176.84380507868053, 176.94135143813796, 177.15756600993703, 178.46772004461374, 179.06195922449015, 180.36675448742599, 180.6535111090981, 182.07099859128803, 183.34741830806072, 187.57161264945813, 191.11560131365425, 191.74444613179588, 192.38232239562873, 193.98080468335326, 194.87769482542475, 196.37080700342796, 198.22909170374291, 198.44018716691582, 199.29422687515117, 200.06058329478279, 202.17283550381083, 202.33415928293519, 202.69019689479663, 203.88493206632666, 205.02604062426806, 205.68338294118274, 207.10338340492302, 208.10937782342938, 208.4204068734241, 208.92950368590613, 209.96856668928632, 210.4619595656668, 211.15879245747226, 211.60183814633726, 213.12498323533299, 213.20325030021945, 213.99821715540099, 214.63447741697951, 216.89217905736663, 218.36834055574218, 219.50783282068986, 219.9581437244814, 220.7689448497334, 220.88314444734496, 221.30217729032245, 221.78069004856721, 222.16281125941268, 222.78236872999452, 223.96262165638151, 225.35513147153887, 228.53858039146127, 230.26053981974553, 232.04822193222677, 233.14483083790765, 236.23800662278563, 238.84064628306979, 240.79577531930346, 241.22053604858729, 242.02994635800331, 242.59620205799891, 243.0704137262083, 245.02546315981647, 245.35575591988544, 246.66336671672954, 247.08474169640363, 248.02819776515977, 249.33486427743651, 249.70073919448407, 250.61553738798548, 251.57987608234103, 252.63423411756997, 252.87908707005195, 253.03606734349967, 253.14164373405728, 253.6351012198808, 255.83317896120039, 257.15294745612147, 259.78311373742713, 260.7139386272014, 261.48298442349909, 261.92275110623308, 262.49792636803278, 263.60986962073292, 263.71391882255301, 263.77559873085426, 264.54945313215643, 266.78378205664478, 267.00112134426263, 267.68652156568515, 268.56903904559863, 271.9693067168094, 274.23059275932786, 274.63301662587213, 277.47335775684718, 279.76804402513255, 280.49730033227871, 282.84457345420617, 286.78684084220055, 287.56038761153604, 288.13211611851352, 290.32379532193812, 290.4347052581781, 290.65038785644703, 290.8732996266798, 291.33839894161088, 291.90894207311516, 294.49255145939566, 295.95225014330083, 297.06668819554778, 298.36700757995351, 299.74990148817329, 300.57433193163268, 302.04862246543127, 302.17482959612619, 305.29269437094092, 305.43946191886255, 305.91348579294043, 309.78940798461031, 310.25579702182984, 314.77787239057005, 315.82291122067835, 315.94216861889481, 317.06791357865757, 318.82983104185831, 319.26916342976187, 320.0457381758888, 321.9556826307242, 322.66770559938311, 325.02887923972173, 326.70495443148343, 327.66456642176922, 328.07567222613983, 328.47897525533193, 330.09475488591261, 330.30664917600831, 330.50174904604381, 331.0387746438106, 331.94455616943861, 332.37007427950272, 332.59362528724904, 334.14397434936461, 338.42419925083482, 339.43900079991556, 339.96439742408404, 342.3843029536921, 342.70636191043678, 346.18875751268138, 348.90541038444246, 350.15470753763998, 351.02487837305165, 352.91128462555588, 353.89565472593966, 353.92062714810794, 354.70813033966226, 355.22668614990528, 355.34533628381814, 356.52173228762024, 357.15482817631533, 357.86787738603914, 358.64149240454265, 359.33550784852576, 359.99228203351635, 360.86343203435831, 361.4112054010032, 362.63597584484273, 363.04122920767998, 366.74605834451114, 367.49737114116948, 368.07276336536296, 369.26756386986051, 370.64714313908996, 370.9525053745412, 371.49892127642408, 373.92647237475853, 374.66446577459783, 375.05399271845221, 376.23485683352885, 379.06274795040838, 379.30421668531238, 381.31816448340385, 382.23116039519499, 382.62056510494438, 383.19851169398777, 384.73534684219868, 385.73103364936424, 385.97962630985472, 386.78244047141402, 387.24331196254917, 388.05542344856616, 388.11806862384549, 388.51762663807074, 390.08474487304699, 392.85070064061449, 396.48285965055669, 397.60828291051865, 398.77304043374153, 398.95383684885951, 399.18382686055924, 399.26029055838734, 399.89723221890949, 400.05851920428057, 400.82144305590691, 401.07070627391221, 401.15529855807699, 401.38257834373968, 403.13639725920763, 403.41938664803615, 404.29074589265394, 405.46650535003863, 408.28546201238447, 408.99939651062272, 409.84758807026344, 409.9765637881037, 410.64983191290082, 412.50111311415748, 413.02096927947264, 414.15971521528388, 416.20243246695219, 417.33744905950351, 417.56433578992346, 417.67807657781714, 420.18736334294601, 420.31264416160167, 420.42877126495722, 421.28573222874769, 421.4159872203806, 425.72218600117321, 425.89696873258271, 426.04366131818227, 426.98103251502232, 427.39650662226433, 427.51824525227016, 430.14876527266352, 430.39536797937535, 430.6763068347729, 431.03636243193318, 431.40753449621963, 433.57567467495119, 433.89716591677927, 434.27519516059476, 435.67772340744995, 435.8654973056386, 436.72249705015724, 437.7592152843535, 438.55203403244769, 438.9828552418204, 441.36586004266314, 441.57164128109395, 444.2100307059556, 444.43409456623431, 445.44012616557023, 445.74453196489821, 447.1838585509243, 448.86461471323963, 449.75271707363987, 451.56519688645409, 452.48620910141864, 453.91742518974502, 454.41286027475098, 456.25477801946408, 457.05465886676973, 457.31508932977533, 459.75860872131392, 460.25586141519165, 461.71579611478347, 462.25400527588715, 462.48055897753892, 463.71813121638036, 464.94380987832949, 466.86169246521285, 467.34931855067481, 467.39608368509687, 471.16876385510017, 472.10835611272523, 472.85855770396057, 475.1836159970365, 475.38611211236849, 477.46825312322221, 478.29193143711586, 482.09171204904351, 483.16445833891765, 483.9187818758349, 484.45064283507196, 487.94027732262481, 488.3121204075328, 489.10982176729408, 490.45552697946187, 490.86933378038566, 491.60861817998108, 493.74347108923047, 494.79122048341105, 494.85814941159111, 495.73575061495904, 496.9628281751252, 497.42995261992576, 500.17410246479676, 501.92939587150937, 502.6676080212269, 503.33674484541552, 505.16775970846749, 505.48991732256815, 507.46618570573941, 511.36225757022885, 511.90229027667073, 512.85273560012638, 513.35275726018449, 513.72752922134862, 517.55170301703799, 519.53879744190704, 521.21758991421837, 521.47676389202127, 522.37828002617027, 522.52863904207913, 522.61468662590471, 523.79639386957081, 524.39328722433936, 524.92529289156982, 527.21724256260438, 528.34245573106148, 530.20594581416128, 531.18080115181886, 531.33990119540215, 532.36222341106588, 532.69586834299446, 532.96484823751416, 534.02707827796735, 534.06052531215107, 535.3812897568389, 535.7538484600326, 537.76433548718796, 538.17982681644514, 538.95474280162523, 540.27057260185063, 540.66219662103288, 540.82996457575848, 541.32709378813274, 541.90898589993071, 542.25160644136645, 544.17841996533332, 544.84277460380872, 544.93608203083681, 547.30655757577267, 549.28889993426628, 550.21081477330483, 550.28239544760572, 550.33990849551299, 551.18854964003026, 554.52032350078821, 555.74735646852025, 556.34172141852252, 556.45581041185233, 556.93249762600635, 558.58223549494778, 560.37864516946479, 564.58305247485384, 566.13033100165387, 566.82111058736371, 568.70534692418369, 571.70811820628705, 572.53509843589802, 572.79274084450014, 575.9265830031336, 576.48043769929689, 577.38348082779282, 580.19442712042871, 580.28339779742532, 580.66046239691991, 581.15130875720524, 581.27594757915836, 581.56941167261471, 582.62283384606576, 582.82643904326267, 583.84480233586658, 584.69961314530804, 586.35427711428929, 588.39983035482294, 590.08190448483867, 591.01655447969165, 592.57923501415803, 594.44552452729033, 595.14601575127199, 596.22278241419906, 597.52842512038376, 597.66937279608965, 599.03383662526721, 599.60189140487466, 600.13212379760307, 601.42427183110203, 601.65132425913714, 602.30672294080398, 602.69980718833949, 602.82123760587592, 602.8652044856243, 603.37427239518513, 604.18618994514918, 604.58783837823705, 605.1098889117668, 605.20539899779385, 605.98227114395218, 606.65346933531771, 606.81182498585099, 608.06388980290797, 608.28734392440822, 608.36256683372358, 609.26663204105364, 609.34869875380616, 609.83912330295868, 610.80454211433346, 611.32478010849616, 611.60908218838313, 613.89913043967215, 614.22762651937228, 614.41115178576968, 616.40118306408749, 617.61227908883347, 617.79008874413012, 618.04180551457205, 618.24729712439887, 618.49220114496006, 621.5579579202722, 622.42919347441807, 623.07432060202245, 623.37915435734112, 624.56146551327424, 625.03408633830566, 628.30748425662091, 629.79849530418198, 630.07758087968773, 632.42417704607863, 633.16205398643297, 633.54195199401261, 634.50687228111474, 634.96904677840553, 635.13971826689578, 635.29275136302203, 636.65924816836673, 636.88400611176053, 638.10530493762644, 639.71843635807943, 642.38134222918222, 642.70813623170272, 643.52943268024012, 644.35478212205885, 645.20535095580397, 645.95818782424624, 646.06195416140042, 646.62751016795505, 648.58909008280159, 648.70969598201862, 649.15573678547696, 649.20530510239496, 650.09517302026825, 651.84373857240564, 652.73933238455413, 653.31336117885326, 653.62719878535313, 653.72408665027922, 654.10263907323952, 656.56458199873953, 656.73852903630382, 657.80290065082806, 658.84281900270503, 660.01858160548636, 660.27656642544093, 660.31099952613852, 662.46712178927862, 665.10659320092645, 665.56333785522361, 665.61592095405774, 666.31564756555076, 667.49944469200273, 667.55607858111443, 668.29866485641298, 669.18666631985445, 670.38372780386555, 670.48006167186588, 670.61471973614425, 671.05079448723995, 671.28363521200197, 672.604764945645, 672.76511998315505, 674.07407850166317, 674.16191261136214, 674.41121725748758, 674.48541283257953, 674.54365375166503, 676.69932671378604, 676.79594839045478, 676.94755441255347, 678.59800122379488, 678.64790298185403, 678.73057308944681, 681.95554579777036, 683.28542387503842, 684.19264844034785, 684.55483257747665, 685.53506268988963, 686.46676989896423, 687.45773775205544, 688.39168429012113, 689.44977488403185, 690.35137185176529, 690.37338640489725, 691.99498889474353, 692.12920050449236, 693.35522417634024, 693.43613487581456, 693.81905431351197, 695.11946671443525, 697.15774979710136, 697.44105014145418, 697.5669865689315, 698.30951578819202, 699.09807932251226, 699.18105659771106, 699.79911519126665, 700.79205636474353, 701.57261673351661, 701.84220178979206, 702.2136021993706, 702.3684082443209, 702.41991645387441, 702.47093431238306, 703.2149939971298, 703.90596141499202, 705.82297333277893, 706.34724019061809, 709.77142500693787, 710.28015518292193, 710.88862736220949, 712.39779746825707, 712.50180371136912, 714.39275160021771, 715.01905028273256, 715.11408733027952, 715.7093934003816, 718.46908282943184, 718.50925510275704, 719.25952108898377, 720.54074571653666, 722.139607614846, 722.5564975357928, 722.85030416757252, 724.5424052331789, 724.82804424819369, 726.3506516460302, 727.11285086127623, 729.53928815887582, 729.60535128939455, 729.88300359958339, 732.14165608917335, 732.34113855069177, 733.19099287237793, 734.28793819330735, 735.62443325756874, 736.02334644799828, 736.59140152308976, 737.4235407436006, 741.01916625608703, 741.34600084561021, 741.88453872954994, 743.08649263592588, 746.54681715096467, 748.8004476761289, 749.07458125144274, 749.33311398583953, 749.94706700422773, 751.28453045588049, 751.33818684113453, 753.90132301402321, 755.11917614088907, 757.91571903363922, 757.9600536285003, 758.00186452187825, 758.22203791684069, 760.11083995736965, 760.49189190480035, 761.32107204829788, 762.23892516524722, 763.54379266598153, 764.25694323146649, 764.97607497896888, 765.30203618997336, 766.77925940526291, 767.42901456353206, 769.15396373160252, 769.72627905673551, 773.08482730461503, 775.58835570058932, 777.03637231508685, 777.26919235576474, 778.97095925621909, 781.0289026188882, 781.98570690141582, 782.4809325864137, 782.89259995209852, 782.91910794437297, 783.0325268532647, 783.20937800269849, 785.68828118711622, 786.16198878210912, 787.81333664508327, 790.74387883812221, 790.81818221779565, 793.34972830477227, 794.07406465248926, 796.5902264546927, 797.29048463383708, 798.90457269933506, 799.82550853282794, 800.34667161592915, 800.87107689326012, 802.30367019912319, 803.48627211611597, 803.95217437608972, 804.1194869407351, 804.858513387426, 805.12865602170859, 805.23654627343774, 806.18783676340536, 809.08541966809105, 809.3395371747074, 810.2704058035639, 810.64272595221371, 813.04540640249309, 817.43156959413545, 817.54492259637789, 818.36495859459387, 820.03196635513268, 820.53807206641886, 820.58778207818625, 821.93999793828652, 824.56238018967281, 824.90891295724532, 825.48463656229092, 828.01801060508228, 828.57380884721101, 828.91562506477385, 829.34108171635137, 830.88084183821377, 831.60304564110299, 831.97774235949942, 833.4026429980679, 833.58623829749877, 834.32863766139951, 835.34580688354902, 835.39980325893566, 835.48421869238484, 837.99610645237976, 838.97246255110042, 839.64762555158188, 841.81237691060596, 841.83533874382158, 842.56572461619032, 842.64339885607455, 843.63866910928607, 844.21569485511964, 844.38439882389673, 845.1526854032702, 846.33052014321015, 847.31379640184093, 847.66064226024241, 847.97907068436086, 848.76181994956755, 849.29644577326007, 849.47279762797439, 849.92247696049026, 850.67298659996277, 851.57697870097991, 854.19874845350716, 856.40601329589288, 856.44010899005616, 856.87128370895539, 857.04066215271496, 857.44270728295601, 857.72615723212107, 858.09428022039378, 859.26488948235453, 859.53832881840094, 860.81867660133992, 861.5789868682092, 862.33779807310168, 862.95239030098355, 863.65636316615701, 864.00243537995186, 865.22512908912222, 866.93930674672811, 868.66245904943764, 868.95542494549261, 869.34527079575571, 869.73141933154977, 869.97733985138302, 870.26001541948199, 870.44423689581583, 873.5857048598134, 874.47349132980912, 875.15815586133044, 875.98314286184609, 877.24605784187781, 877.31687621835624, 879.5521447213755, 881.27920647612086, 881.53458543652016, 881.87457523024239, 882.38600795550178, 882.47058184773107, 883.58990856316575, 884.75852197053644, 887.30978167472699, 887.93490734628415, 889.50595216686725, 889.89528522017997, 891.44724799514347, 891.48697632957067, 891.67604330732786, 894.08961545480383, 894.25568346296768, 895.48186530432656, 896.47642720411204, 897.46151993350588, 898.04254089406425, 898.13561473297261, 898.61875236610194, 899.02213977452504, 899.32914491584165, 899.47048372680331, 902.98212709337292, 906.56103163096293, 907.56574631773674, 907.59994919410406, 908.91549562495288, 911.23740226297184, 911.64597806696054, 912.63749846062854, 912.93806211725018, 913.30628813580222, 913.47513564228927, 914.67887292390253, 915.38533847169708, 916.40329420960995, 918.4186840474423, 918.99521371775074, 919.07817882308461, 919.81701279978199, 920.17067713699566, 920.21378473749519, 923.89230554654159, 924.27859853413713, 925.08226939842518, 925.52134126381065, 927.00611151613259, 928.6788167264242, 932.54261176555258, 934.40724770638758, 935.70282540508754, 938.13142460310735, 938.25316537696222, 939.99564820038609, 941.09673414690042, 941.15370599592654, 942.23732666362457, 943.15497080768932, 944.20781064105518, 944.44601847238187, 945.58379443038848, 945.62812733439739, 945.855845030757, 948.43450761770328, 948.70828459680661, 949.03092550649694, 949.55080000000021, 949.70916291615845, 950.16601248781296, 951.47094435509018, 951.78654943875574, 953.29610346716981, 954.41768245656283, 955.20041211655143, 955.51068219602541, 956.42634705766625, 957.62162257158559, 957.68293550936687, 958.45069436464109, 959.30467521263699, 959.8772613580478, 959.90968779434058, 960.98838800014437, 961.33156477280704, 961.64105719645499, 962.65454687650174, 963.61909990787251, 967.24948306065232, 967.35487983162852, 968.38505878888361, 968.78391614981683, 972.9807407656881, 974.37374019992728, 975.18620337795119, 975.80032994278474, 976.33135912053388, 976.51406658292035, 976.90264092856387, 977.30160039594739, 977.52393975360428, 979.1273210627877, 980.75814341846342, 981.14343722800572, 982.09707830347861, 982.19012308784511, 982.42917975230307, 982.94948201561488, 982.97314672868401, 985.49443969890831, 985.91683225538247, 986.30943262158962, 988.02415410991318, 988.96702392010377, 989.31170028406802, 991.16032599860046, 991.70080499905168, 993.04877781698849, 994.19422285897849, 995.06373067216384, 995.10011675614851, 997.61541275860475, 999.98534186125551, 1000.0855247882698]),array([0.38134659002826421, 3.7684721971743533, 4.0897599589478055, 9.1257273692920435, 9.4412563367876956, 9.5027515230428286, 10.182739879339202, 11.666733004743023, 12.461125449601072, 13.893878804601281, 16.178423223215209, 16.755964730304012, 17.728696980940192, 18.292169669992798, 18.539600093477027, 19.597554010444007, 19.881134328301794, 20.004503400861815, 20.747440484563477, 21.932528840281385, 22.502075476752271, 23.993353102945157, 24.149053291009558, 25.187675519571961, 25.682767434101173, 27.221701873813167, 29.244013447612087, 34.918218104147989, 36.829732724749014, 37.521751310015688, 40.503925811449541, 40.79095019522638, 43.985298141007739, 44.512048558434302, 47.714566405131293, 47.749057062524606, 47.805853251340494, 48.685738456208838, 48.977459702386007, 49.221411376559885, 49.315156091824313, 50.804537101394175, 51.978810834108053, 52.283609182860296, 53.933341690144204, 55.54621245245422, 56.048203781013214, 57.171261698655108, 57.442531107736777, 60.104692172165656, 61.478572429755467, 62.210360064999108, 64.010751434569599, 65.055022040771334, 65.888605212910733, 67.610171892366878, 69.120544684816053, 69.253165324093828, 69.930416676530967, 72.380219145512697, 73.588258923434054, 76.885262285148968, 76.93719231055158, 77.865018982723939, 78.052781461644699, 81.011465348817339, 81.627631002719724, 82.981265273010493, 84.356637251151852, 86.138677954391184, 86.256644259746324, 86.40813534633574, 86.437553574227806, 86.561939566980328, 86.937960339394891, 88.054086414174193, 88.103812124810702, 88.430393150122455, 88.504305778531105, 91.710926156632638, 92.487086171510555, 93.614464745680451, 94.57731019918657, 94.778141182828392, 95.253674940302986, 96.484908045882307, 96.738856021197705, 96.829465068059974, 97.454106491051022, 98.125260102354389, 98.460199733841648, 99.298025590120176, 99.431907959436657, 99.562332163100493, 100.05771160752622, 100.53974707046612, 101.05676598437452, 102.16852659149514, 102.47279758242814, 102.50636451903576, 103.30247529259466, 106.06619542910772, 108.8648403951851, 109.32014153174758, 110.0172740002475, 110.09244031010488, 111.60821990257031, 111.72439455375154, 112.89031781905972, 113.31303056630915, 114.78632861665959, 115.02840600444955, 115.09625404455025, 116.61220321848491, 117.12472135816502, 118.18548006777119, 118.90247899945764, 121.03682118016519, 121.11255877212201, 121.74236635619194, 125.14844883187929, 125.90399892169773, 126.31553382526671, 127.87772244855896, 129.82358161127399, 129.87293744555879, 130.36973085611058, 131.87634908317472, 135.67740275523752, 136.41766848172165, 136.67546154506763, 137.48336347334234, 140.17666533768303, 142.24930275886535, 144.81693182258087, 145.48948040277853, 147.4690487803864, 149.09241139662072, 151.94487342583187, 152.49030223593667, 152.88223478294168, 153.43312640081791, 153.73995274246695, 154.28740613698122, 155.00206105984086, 155.09214107434801, 157.08953601634423, 157.65190094894885, 158.19509992476841, 159.25013663381532, 159.40517334782265, 159.80528271931519, 160.6339906352456, 162.12167812685982, 164.45761812164864, 165.051727634407, 167.02749890418369, 168.8418913482071, 172.05284200526381, 173.82536326693858, 174.44365546574147, 174.82265599529441, 175.27001914346775, 178.29088188908395, 178.56219964207372, 180.2103773234393, 180.69344669888753, 181.25844588616334, 181.99590891980654, 182.35113475515377, 183.51691200198673, 183.65536781929097, 183.77306208135542, 186.13091097572783, 186.3728952196756, 186.77461626981514, 188.67370648830919, 189.50415274723005, 189.57194054267117, 192.3990879632631, 192.75950308905453, 194.24148744734444, 195.16086800629347, 196.03639054649349, 196.10814056716367, 196.59797131489131, 197.68352932855049, 197.73490626672086, 198.48877220860271, 198.66038487494589, 200.27483613234853, 200.49158455856676, 201.32442324150472, 201.72219824439259, 203.64766059869152, 204.19498016285587, 204.34931163292902, 205.15550039860892, 206.37448331852121, 209.18819264656969, 210.30142889217419, 210.77851359807605, 211.56283051689522, 211.81701393837434, 212.74671476619829, 212.78992090762665, 212.89865050797869, 214.21793757302953, 215.5904858704998, 215.84964787633677, 216.26351852803475, 217.64802240818631, 218.6100073736813, 220.57994704338904, 221.30064970134208, 222.2573393791026, 225.16031941262585, 225.25203761279559, 225.62847726248313, 226.31672939952159, 226.76199548066847, 227.62302126189761, 227.69688443818853, 228.44804672076052, 229.57537159035951, 230.91737895127361, 231.92419588113734, 232.27247793589771, 235.17013029937439, 235.60997365159844, 237.13148763719735, 238.18243494115853, 239.44150148351676, 240.216776510215, 241.19296515767147, 241.43425739126852, 242.00896380859251, 243.65710765506503, 246.51990431335827, 247.50792772885592, 248.68851679440496, 249.21437682812063, 251.20520688194838, 251.4284156785703, 254.11938528764063, 254.36667181091897, 256.97603585857485, 257.32220046560235, 258.48822533277342, 259.79835449744047, 260.31101890556755, 260.40789420119864, 261.03631983673955, 262.78967549351688, 262.94237631096081, 264.09507208042885, 264.22116280831671, 264.90587251807756, 265.36671193230268, 267.08934546400826, 268.4701420461729, 268.51525174838525, 269.02628384361418, 271.77641626135505, 272.2308097083278, 275.5856187568063, 276.8685364013383, 277.63307767213672, 277.88929630682412, 277.99133310367699, 280.65601976795381, 281.25574447907763, 282.86934087054516, 284.51114881379578, 285.45172191044412, 286.40570989397372, 287.54452751501788, 291.24803379007881, 291.29235341762114, 293.91065571292711, 296.4249462349652, 297.18778780837482, 298.47463685117856, 300.5260867574039, 301.73215560669365, 304.31462759114834, 305.14843720543064, 307.03396108560082, 307.60832288300179, 309.95346019260387, 313.19594523762913, 313.40587854994112, 313.45416077073577, 313.84010652984904, 316.76230876823905, 318.71742717705484, 319.77198683590058, 320.51429936567268, 322.41669771229863, 323.47254334948673, 323.7138469234722, 325.74671634080369, 326.76666148854855, 327.33347073357601, 327.78942146208857, 328.53655374016301, 328.57371352529844, 328.99999733576169, 329.42355683769716, 332.46875389845849, 332.90336187694857, 334.98729696721205, 336.04612988016265, 336.18241579027068, 336.70251350691171, 339.46123852341805, 339.79013353483083, 340.03852670654067, 340.45858528109551, 341.93237879844048, 345.74004118012493, 346.38877788113035, 347.27232646611765, 347.36777946120486, 347.60245637197306, 347.88000126506705, 349.35590792888968, 349.39958266867728, 349.44904257580765, 349.87033731906206, 350.66635724908218, 354.0042350824333, 355.72459314052338, 356.50773961728851, 359.89927954446631, 361.23479373163292, 361.7694389354491, 362.56770702236474, 365.30986543226072, 365.64980565924714, 367.48932727785223, 367.51273267236445, 367.81718147662644, 368.14787908189118, 368.50764358019029, 369.83884619290819, 370.26893447330696, 372.31871670487527, 373.8424394972248, 373.89939051544781, 374.97619358542795, 379.020576770594, 380.89205957651399, 381.19031283847482, 381.92802656877723, 382.48280376543443, 382.58378204055992, 383.97130820518817, 384.79180281958531, 385.77357224747203, 387.24348381705283, 387.42862792045213, 387.99621903697755, 388.57807514854602, 390.06666370466695, 390.11584342226757, 390.47186459531406, 391.13917539397158, 392.12768865727378, 393.72774947379861, 394.04866347832387, 394.28561582953603, 397.27499203291939, 397.94427639119863, 399.29906831895113, 400.63216492354576, 401.91733639570282, 405.3823036723237, 406.7569719637151, 406.89113379118902, 407.82932060740774, 409.85999991944027, 411.36825212510604, 412.60582549453324, 413.1494839691016, 413.51593759459098, 414.22417264340243, 414.50048241962105, 415.64849059229078, 416.18553709633585, 416.29406474910621, 416.71758261379858, 416.84182791246906, 421.67306071784583, 422.37445968331565, 422.4416209481343, 422.94095200233028, 423.39403715346106, 423.87822683967869, 424.05619024871118, 425.45021473627497, 426.9153821740469, 427.59259800380909, 429.04215196424963, 429.53370866695673, 430.83824282410313, 431.08431931228756, 431.36128545847436, 432.23394771657013, 435.23572139827201, 435.77655467064903, 437.06006862008752, 437.62883253632981, 438.416160613621, 439.21775915746611, 440.68512977184008, 441.25498628725933, 442.90404442891025, 443.5919707452457, 444.2510527397601, 446.23667400615511, 447.31974712922789, 449.28519653366834, 451.75350072073496, 454.16258385892729, 454.61187818982609, 455.27099950342398, 455.42918049432069, 455.54104091001926, 456.18871955043903, 456.6747204796028, 458.82352338582479, 459.84109781439628, 460.45655241654475, 460.5008234905464, 461.47851909409167, 463.58135245537659, 464.41320385930743, 466.61525135067734, 469.06164413918805, 469.45351401344857, 470.2825171489996, 472.22447963138654, 473.0012812335757, 473.15242300045423, 475.98697332109913, 476.87436188802945, 477.23220297288913, 478.29009173501674, 478.73028738134138, 479.03365304444003, 480.56442583272286, 481.90198015831487, 484.4235574993819, 484.99076101610689, 485.49058560827081, 485.57380966200725, 485.68059172846671, 486.95848538389868, 489.24996972874834, 490.06474591553928, 490.27468857692946, 495.31555568404224, 495.77052642617986, 497.17912855053243, 497.36106309823356, 502.05077568196754, 503.66509232355736, 505.10493794668292, 506.38778192019561, 507.01564523195174, 510.05079942457905, 510.68029791376603, 512.43848014031278, 512.73260261840198, 514.08217675186791, 516.70097116902718, 517.35959894512359, 518.52602510095574, 518.67211773584529, 518.89448409902081, 521.51553052103134, 521.88883981052629, 523.24818898099932, 524.79230089884561, 531.77164319519898, 532.09664099328165, 532.60343117830394, 532.69191026265105, 532.94825163014411, 533.03757799249956, 533.52956497627986, 534.07359255735003, 534.31682802170008, 535.51657475807315, 539.74889059391319, 541.6575222749442, 541.82424386686841, 543.28028240803076, 543.66500745760993, 543.98534379186754, 545.67237532152865, 547.42484809985046, 547.57223196653206, 547.99920642102609, 548.28095734335909, 549.07656564419699, 550.53008462998491, 552.17099740119977, 554.78396985940572, 555.54133402495552, 555.74167336150742, 555.85382546620372, 556.07032986465742, 556.36933984374514, 558.92969308882118, 561.43981563039347, 562.26664394791101, 568.30801275830413, 570.9514717559606, 571.44320454292404, 571.48153211170199, 572.06049085187817, 576.51405330853368, 578.74422634326118, 579.13554884333553, 579.8450308506948, 580.63907093875969, 581.12585385547811, 581.42392301353345, 581.84461546980845, 582.47725772718843, 583.33421337878701, 584.42960589337144, 584.84960309925577, 589.31798364323413, 589.44329799062132, 590.04519822398208, 592.41872453873145, 593.3375638206619, 594.68038254461283, 595.73543899159733, 596.80995306604177, 599.03783148153468, 602.19926014129123, 603.89987244685051, 607.46988886018721, 608.86780166546293, 611.0231860792187, 611.57026336123829, 611.95419362437451, 612.81711482242088, 614.54134181369159, 615.35974978549746, 616.76319904827699, 617.2248789480833, 617.25555467120444, 617.58666354243496, 617.89588176012023, 617.92602023260474, 619.23966566222873, 620.0618323368351, 620.61943786758184, 621.108352577544, 621.37441759161857, 621.69096042732144, 622.23174821623081, 622.27600772605342, 622.86901121824667, 623.14556435457553, 623.92484612773899, 624.4607446700669, 624.64226507866113, 625.92723884726081, 628.61069744280019, 629.36109065212861, 631.19664057686555, 634.82740706361733, 635.14528214379357, 637.85885072785459, 638.03250956798115, 641.43322808775793, 641.62584342135267, 641.66702099675388, 641.91485402827436, 642.23458253916544, 642.28796695914116, 642.5218646063538, 643.78898022923977, 644.18276087888955, 645.60604091311893, 646.23663697850793, 646.64944758455556, 647.51034105810118, 648.79708987277763, 649.7804761301694, 650.68406111913691, 651.94813228800615, 652.54797916968198, 652.78823135694324, 653.45462621540594, 655.95114337120651, 657.97705265612319, 659.98924215337263, 660.27537763507337, 663.96757541227782, 664.45473502908351, 665.56417463611751, 670.14532365221089, 671.02222477654027, 673.83822227326743, 674.0055856567916, 675.23448259104975, 676.38074785174751, 680.02065079081547, 682.22370023553651, 682.73122988221826, 683.31283725153298, 684.51901677662306, 686.59376677204409, 686.68719197511768, 686.82312828281772, 687.40119742265188, 688.23023304498849, 689.52755078486211, 689.81284185954269, 690.24887348592779, 691.00423548633114, 692.71632033271885, 693.18459995728267, 693.6834468343485, 693.97351256345758, 694.56594944990309, 695.12700505790406, 696.38666349518314, 697.58268079255492, 697.7724350544762, 699.41319558954012, 702.74061940019419, 702.98509168192743, 704.3060322947872, 704.49481865074051, 705.42504471245002, 706.17851634307578, 707.2390800084919, 707.25956366265768, 707.37703585594284, 707.75780510644415, 708.24175922209042, 709.2045546496413, 709.35909250345696, 710.17908802159388, 711.01409927389477, 711.49991339817871, 711.68926019393803, 713.14161517852267, 715.59016758998712, 717.0179428898665, 722.20844631235502, 722.54469329993617, 723.00004616357444, 723.61649104952107, 725.24487654163761, 726.61201751961414, 728.21525349021306, 728.49736919752763, 729.18778012201199, 730.76064158695146, 731.05316431787128, 731.48088509269496, 731.55856186180836, 731.64134107831751, 733.65340912151999, 734.07507154148482, 735.58579966960224, 735.87083466119452, 736.06468020168893, 737.03291590947356, 738.47680417024367, 741.2691473910495, 741.89719383643671, 742.77630505047819, 742.92828256193854, 743.71179641977403, 744.73525344312054, 747.34147321868488, 749.36297833830474, 749.93445876059195, 750.13342856446377, 751.61180428699413, 751.73932765402867, 754.4114677981861, 756.72447796441782, 756.86620645813298, 758.17161003598642, 759.13375666782815, 759.34024804565468, 760.46332435993224, 763.10422520874056, 765.55502900788076, 766.06904818082694, 767.24194115011312, 767.26286815516607, 768.98685092677306, 769.42915385678884, 770.05628494507641, 770.19923888440258, 770.40866785105754, 770.70500566501323, 770.85013608388238, 773.20889704962065, 773.63299909012005, 773.74268870518938, 775.12275519593743, 776.36207897032887, 776.72648924510622, 776.748517212043, 778.25828196142641, 779.02017928259181, 780.12452704849102, 780.43197663465571, 780.83957922692059, 780.87779873818317, 781.42493300117985, 783.36589164016982, 783.9292793644704, 785.4403408526116, 786.52481698955557, 786.70214561706973, 788.03411538455828, 788.99882800074306, 789.11644384486192, 790.19811412587967, 793.40621369992652, 793.7240050602785, 795.0453917657411, 795.54838826053037, 795.68399616512124, 800.94014193748706, 801.44033059368746, 803.04656100042098, 804.42877984383279, 805.66989630328624, 805.9338484996249, 806.42075353154291, 807.07957704903595, 807.56811781878662, 807.99418928495595, 808.85941815757383, 810.70725061699864, 812.03285861818142, 812.11686618394072, 812.43832668015398, 812.62329088623744, 814.27044154611303, 814.48036446641311, 814.84608834189896, 815.64068359230373, 819.87921808667136, 821.16109954540684, 822.56017402891416, 824.00579191684801, 824.15193655512985, 828.07094702049574, 829.46892495186341, 832.49788920509422, 833.11712229825605, 833.4156110955646, 833.93210833280943, 834.09260909973182, 834.67258320876613, 835.15013834562558, 835.22910772447074, 836.77897859716029, 839.29251495330493, 840.05825068442812, 842.27379827136963, 842.68663869590739, 842.86057959674451, 842.9224551721976, 843.02811150267144, 844.56172862182916, 846.45494381688059, 847.03920257250979, 847.08099591231473, 847.94228947738941, 849.13678737072746, 856.78680530100837, 858.74533554052584, 859.88642601486004, 860.49489856205776, 861.75214902440598, 861.93934821599987, 862.86299266684603, 863.95474033605376, 866.0859037123397, 866.99554653137034, 868.15041171682265, 869.23880953011292, 869.41091132134909, 870.08994679050795, 870.32175162486362, 870.3839808965289, 872.51476054016825, 876.70587757688577, 877.15497652861109, 877.76617797859194, 879.15365693713341, 879.71394965357263, 880.25059193055108, 884.05264523307051, 884.63759884071897, 885.11796788374522, 886.40054538793004, 888.50866130504994, 890.54042972932939, 891.13383726315567, 891.70313624943765, 894.4693162836287, 897.55915650924726, 901.5005194210579, 905.10041175244487, 905.23595951357868, 905.82162699191872, 906.90167876707847, 908.03445077690617, 908.54286891259687, 910.21872977745193, 912.05936482706318, 913.0832746826253, 914.02636485768721, 914.08112935203394, 914.48383944859881, 915.80888487572656, 916.60631005340031, 917.58043852889477, 917.82355727726633, 918.17639523893524, 923.61523511791142, 923.81235979846883, 924.60677889981878, 925.41689278485865, 926.91635870855794, 927.38237557217326, 930.1217610540109, 931.31886923172465, 931.4545634682562, 932.50452546868428, 934.22347523458734, 934.86749850505748, 936.60923343539389, 936.95901664322787, 937.18713813244017, 937.58078516327907, 937.88562154253032, 940.75126458796319, 940.92446221783371, 942.04806978434476, 942.48159857581493, 943.18857208814791, 944.67374836156762, 947.72424738207883, 949.25066179950818, 950.4454236001659, 950.55286296645954, 951.0027345669796, 951.63230214532109, 952.0645232579343, 952.53207074415332, 952.71082080903602, 952.84240123532538, 955.02273634228823, 956.03156327995396, 956.90048387635636, 957.56046491159998, 957.82509812120816, 958.52968360988598, 958.90193957883776, 959.98772364930426, 960.77327114423656, 961.2105775486931, 962.2884075107761, 964.70089915120354, 966.23459810169254, 967.26315919567162, 967.81289458335675, 968.34981959945799, 970.17118989379105, 970.80199175658902, 974.83295624283073, 976.41893554765261, 976.98506125633139, 979.09192887640552, 980.63430614791355, 984.08966541265352, 984.49342515425451, 984.76396585342366, 985.78358228944091, 986.85889550274317, 989.03309759030446, 990.08972771991716, 991.28234015048668, 991.37610177456941, 991.79818362158414, 992.50272591505814, 992.81132606770643, 992.85458937855344, 993.30852460738527, 993.48340519043848, 993.92244264054625, 994.53095504158637, 995.72454142848528, 997.81910575297252, 997.90878822197715, 998.05474664634028, 999.75840436515102, 1000.0535894419007]),array([84.50185680517454, 85.122080077404235, 85.385151591781664, 85.522775401710206, 85.659748856328932, 86.508001227353972, 86.857616048513975, 87.382380118236483, 90.231727684815809, 91.121772320207128, 92.164356141215862, 93.068332595505893, 94.062925509213287, 95.003513004404269, 96.062554765448979, 97.577549296522562, 97.854821298881589, 98.48560769510577, 98.758270089754973, 99.506854382893636, 99.734497072493951, 100.4246224268459, 101.49835845910982, 102.65239991752361, 103.82071151808552, 104.37426687834684, 104.69245099754075, 106.75800959520369, 106.83751266426663, 107.20633001998115, 108.30065154030746, 109.97573738713447, 110.59001013297203, 112.00510778247482, 112.11857630073088, 112.29746012730675, 112.74702661515749, 113.78860368247341, 115.92005084856783, 119.83210686317949, 120.06708234085406, 121.30294617732969, 121.45539665375432, 123.13064526508168, 123.18153015761263, 125.05256203288531, 126.23456367887174, 128.94297333110583, 128.97667059635575, 131.70462666087579, 132.16995156496856, 132.3350825655086, 132.95862816309895, 134.52515654684552, 136.0924760127692, 136.83357911217789, 137.04764033442061, 138.83979107762093, 139.32966964969364, 139.56281845057893, 140.1562893173718, 141.61266436209206, 143.76572991237856, 144.40455526580803, 145.8305667101763, 146.06373828882192, 146.27428996972321, 147.977586511841, 151.37216466214221, 152.10224648198644, 152.41563745406265, 152.49719500081358, 152.77211773462903, 153.14033709314228, 153.73502119265626, 154.30113100964448, 154.64791534041046, 156.68443057614729, 157.0275809109863, 158.62603974792157, 158.71832755762316, 158.94317134226563, 162.96137954814108, 163.51290562223431, 167.04431903691105, 167.18781398974281, 167.21109866077833, 167.99025405652202, 169.63047887564232, 171.66284135484923, 174.48194865744156, 174.60670727741652, 176.51062191465786, 177.41735404361492, 178.22401363494527, 181.69481430871207, 181.89552070291748, 182.07294307377521, 182.58593565454291, 183.02000833806866, 183.83873210654312, 184.38298322734244, 184.53982683414054, 186.84224790135121, 187.37787843885096, 187.39934466864099, 188.67819639969019, 188.87195507936428, 189.79501926364492, 190.99265799778127, 195.4567409915042, 196.21413783608142, 198.73279036207316, 199.77522170796755, 200.72649320052852, 201.74064981718655, 204.95459896283279, 205.01907651587842, 205.79679816671484, 208.65612896949014, 209.10157318311468, 212.04944686091653, 213.00730603267789, 213.45321842742419, 214.48148140635163, 215.86341089250519, 219.38728956887346, 220.66561577030859, 220.86502533797224, 220.97224913275502, 221.60224822175846, 223.11101700655561, 223.63716227745604, 224.2154147253211, 224.42548926005341, 225.77984689485029, 227.4298136909718, 227.82378147086115, 228.15302872759611, 229.41374307337944, 230.102286792683, 230.65057825656379, 231.56536226573678, 231.58540171129167, 231.7417578783394, 231.79807868246402, 232.11190673114447, 233.38465947941975, 235.2942439818639, 236.09437896567931, 236.16136080924352, 237.54809147999703, 238.89028949316273, 239.1819756833973, 242.49772433559275, 242.83357308493089, 243.87238085492524, 246.49310651812613, 246.91046583395612, 249.45566681351653, 250.37634970547938, 251.11837813576463, 253.05113179001322, 253.37146119167255, 253.84293367751462, 254.87374426647077, 259.23663558230407, 263.28629627957383, 264.84395992684296, 265.56300505093526, 266.011614844414, 267.43182205903673, 268.72365538273306, 269.3171399935112, 269.67611118148284, 271.08760465748207, 271.18106902786417, 271.70522597598938, 272.1482699296028, 272.29793805032648, 275.46394313250585, 276.85500556186258, 278.64801987192965, 281.21739481357446, 281.26647840097297, 281.95869813748942, 282.03953804611155, 282.23511456838332, 282.75406704534896, 283.22026600243566, 283.92672284127565, 285.88347732396119, 288.03892941072871, 288.95504119052623, 289.28651759434035, 290.26247206108621, 290.89572081985239, 294.0685576987936, 300.28608301833367, 300.57508081221278, 300.69319898730578, 301.8087423515168, 302.73238712496993, 303.12524508944159, 304.19030735429232, 304.2940607884189, 307.33672455939325, 307.48155818519581, 308.47836391096473, 308.50405939385411, 309.85616497790704, 312.77688638630315, 312.93944711740426, 313.02122282396107, 313.48034693773275, 315.28145623152375, 315.31521933474301, 316.56503677316994, 317.38414632195094, 318.51920600763913, 318.88989617536453, 318.95806369903397, 321.04757162058564, 321.08173099917639, 322.03073140830622, 322.64545614255769, 323.49330647835495, 323.66324220641303, 324.41164652589254, 325.71969060634456, 326.00952434595149, 326.4845800067182, 327.12291625667956, 327.28682585472075, 328.53901371319949, 328.60393021168119, 331.08435799956305, 331.94119497625235, 332.62368628141229, 332.68538039476567, 334.6161410639852, 334.75737212935826, 335.02828979871663, 336.31110556074657, 336.84675048244816, 337.65597661861216, 338.41674330194644, 338.46911402108003, 339.94299336621322, 342.1139750113847, 344.51154041238942, 345.935671907406, 346.76445445419762, 347.37846130330354, 347.99210725492003, 348.45182725168337, 348.57020141184495, 348.63307730815615, 349.25831752771217, 349.41832056836284, 349.56625206533295, 349.74792243610506, 349.9008766067771, 350.72262557300667, 351.16304228151012, 352.84708875512638, 355.21830977701774, 356.83564573690518, 358.09333543335191, 358.55604186396641, 359.05473281243565, 359.78982808383392, 360.2186925012432, 360.63158438952257, 361.82023170997212, 361.96563242072779, 363.77530473971166, 366.93566533618286, 367.43154107304451, 368.05189231503988, 370.47932815319223, 374.41669041855198, 374.99462567386848, 375.21400949503283, 376.05968983217457, 379.50579426674, 379.78839947559197, 381.59401329605356, 382.64003956253032, 386.67668130314496, 386.90878415326443, 387.54855423780452, 390.57387419292206, 391.05225833121466, 391.20175808627141, 392.71208011491177, 395.54236132178312, 395.90048462379912, 399.17054954256935, 399.88175333728373, 403.10564646448336, 403.66168792970018, 405.64909424805995, 406.07945295934866, 406.12744815803592, 406.18250812242877, 408.53579845806922, 409.50352530457832, 413.93092260630021, 414.22999350756203, 415.09700481714918, 416.72887036654055, 420.56044919580086, 420.69490310542255, 421.82303236595061, 424.26913576774751, 425.34178335478884, 425.51434445559926, 426.41218387468433, 427.7038051542616, 427.86080790516957, 428.15849423156146, 428.22015899886071, 428.9248647065952, 430.39887032940624, 430.45200601814696, 430.47530077471691, 430.62170001495502, 431.12934694335058, 438.03249298952397, 439.15608169958188, 439.95359791618182, 440.65542249003579, 442.09830361518664, 442.46274864010473, 443.21640705405116, 445.00510868235244, 445.89805110888256, 446.40973202071723, 446.52004398412686, 447.21526879316127, 447.3303151244578, 447.4167963441422, 448.24062602475294, 448.86138788896318, 449.19721848298138, 452.13464775794677, 452.22473822212561, 452.46274651016211, 453.82082864654706, 453.91759336538144, 454.33439276483557, 455.37058120609737, 455.46391689222946, 456.73503422158223, 457.19379705924337, 457.24782762718439, 458.2390792980022, 460.14524032386288, 460.87052500517399, 462.95790185970844, 463.14458726138582, 463.42937188632357, 463.53798971130931, 466.86602180828908, 468.38297456661172, 468.76300547563238, 469.78314935417342, 470.19044156843256, 470.70676712752424, 470.87422454462853, 471.7679435003248, 471.9954644081667, 472.78437633625248, 473.86118575105388, 474.51990594076898, 474.72516802125483, 475.5026089572234, 477.30158168163445, 477.81934326578477, 478.29082521034911, 479.29592002767441, 479.40208750069939, 479.85330845263462, 480.13503727947312, 480.2498604467375, 480.65641997269375, 481.50653797377197, 484.85871687463958, 485.1010470772905, 487.16583174352837, 487.40829858533107, 489.12137981593241, 489.95360598980329, 490.00867616669223, 490.09620037334645, 490.96197556991581, 491.89158420364276, 493.16295939871583, 493.54680262476353, 494.54040550487804, 496.82819634016124, 497.39984753018769, 500.15389800224631, 501.15400919414594, 503.09632242496008, 503.31171827026145, 503.62949013278836, 504.22550883864335, 505.52217830056486, 506.06869775430272, 506.71098653062631, 506.82382984240201, 507.09887876391741, 508.88250748267114, 509.99130690535497, 510.07938129554304, 510.86405730387963, 512.0267691018995, 515.71950182806972, 515.88341148260793, 518.76388585926043, 520.55554543840162, 522.86841666799614, 524.04209590543314, 525.14721559657994, 527.90374793157696, 528.39315660020372, 530.44342606251178, 530.54033377537655, 531.37881993953192, 531.43980275677654, 532.03294811901787, 532.52623143599294, 532.70894325063318, 533.10533357530096, 534.13309514334458, 534.32301244193172, 535.19582993848371, 537.21269850789565, 539.67789338840544, 539.90523175194846, 542.14868911734663, 542.80358095692645, 543.37558991739627, 545.10228774272036, 548.24393612445067, 548.63521163706469, 549.42001271924403, 549.48158418022524, 550.55099093702688, 550.95069902735872, 553.49081868513849, 554.55407945458876, 555.99345748950941, 556.19418502748749, 556.62028870597419, 558.85546605738091, 559.3162579010301, 560.07026431669465, 560.86838045007994, 562.37376987007133, 562.7853608130323, 563.05156139079111, 563.43049081595996, 563.4687604554174, 564.34191247783065, 566.96283829156391, 567.23573997228584, 567.26754868986905, 567.80336892763478, 567.97898477893216, 569.26036262835305, 569.63650459387941, 570.59931911347155, 571.20338610966894, 571.43560298155342, 572.32182724364191, 573.18985580912477, 574.7181064927031, 574.75113836012486, 574.84850231537973, 576.73595035160452, 577.31994506222873, 577.75543774398818, 578.21479421994127, 579.31203731255482, 580.57246096952679, 581.80400903909128, 581.93493775084312, 582.60643845283562, 583.41490496357744, 583.48938781326763, 584.55318898725363, 586.7815558834285, 587.80335634108667, 588.03916752612497, 589.41347012730148, 589.61407140183246, 590.77474500665119, 592.24269160723861, 592.35971039333799, 592.78207513797213, 594.04277300160425, 594.65784312247877, 595.61733406253143, 595.80455115666825, 596.46916879725416, 597.78247049972629, 598.68125172979114, 600.37770932318188, 602.51466548327426, 604.50430874651647, 604.68990510903723, 604.74513785747308, 604.88204030751751, 606.3194547217679, 607.17958992798458, 607.87200535039551, 608.85167868526378, 609.77087744858716, 613.32124760863587, 614.058327196346, 614.27128949148937, 616.39623836628448, 616.79538533611469, 618.7250695170095, 618.99182327665892, 620.15069490317694, 621.99819918444769, 622.58678329504278, 623.42901309931835, 623.8729159734005, 625.50978824985157, 627.916766770442, 632.50276614952452, 633.61952602409178, 635.18828267136848, 636.73669281003424, 637.76983246828297, 642.74802785154736, 643.08012776342844, 644.78825409783985, 645.67702974001725, 645.97338483620103, 647.07027652675026, 647.16779717658903, 647.78819333018066, 648.54552082288433, 649.67872624509494, 650.66098252488109, 652.4971224555303, 652.76072189780609, 653.14629060622815, 654.25890005082067, 655.28861490389534, 658.48536883684073, 659.67342385278562, 659.82072239441459, 661.5311853883702, 662.59354565459637, 663.32279860812821, 663.61498766062516, 664.09777010037169, 667.27691497883779, 667.70618381461759, 669.87206574186439, 670.21852548346953, 670.54246381714302, 672.03018433421994, 672.64095678940066, 672.91247806434228, 677.04722729351909, 678.94089355552364, 679.28218922752035, 681.83955200645914, 682.3058305351077, 682.39503284469868, 682.97611147016607, 684.140468969739, 684.42132826749491, 685.21199982624569, 685.56160926877294, 685.87112286824936, 686.87927336448161, 688.83827885920834, 690.62501734770797, 690.67785805174026, 692.65402798707373, 693.09755209344291, 695.87132770917731, 700.78129635695871, 701.46285137401344, 701.73977470746172, 704.34482963839457, 704.55146304325922, 705.42903983695032, 705.58075459955955, 706.49602524755176, 707.40507998541807, 707.61646195502021, 707.89912471173784, 708.76313599819821, 710.40539450905976, 710.87905509247821, 712.89899058774029, 713.24950800801287, 714.92060769995896, 715.47712707961375, 716.30328353645496, 716.6762407083595, 717.96742277034286, 718.58801714799415, 718.9971493295908, 719.35890084195012, 719.6438689687684, 721.97414449846246, 722.1964148785114, 724.43814034105912, 724.61126701564888, 725.90619771439719, 726.55880786283342, 727.16859278934464, 727.35249616106194, 728.17570470413955, 728.30625446269266, 728.54211807491947, 728.70195817635704, 729.27857826118691, 731.77551105073519, 731.83472062662725, 731.89519998594733, 732.11644674371109, 732.48970464740239, 733.62679889451226, 734.03549309585571, 735.78852085644655, 735.97885040598339, 736.53070685169223, 736.65329331275461, 739.8152610940657, 740.95759855229505, 741.03018057576674, 742.1780873464462, 742.31540810618196, 743.16871978239021, 743.2447732035937, 743.93533190692813, 743.99820889147907, 745.44414058431585, 745.99302197899237, 749.62391859600336, 750.89487521785225, 751.4562696168739, 752.89678047373741, 753.6333953253137, 755.55160906372055, 755.866563420798, 755.94231033804431, 756.60063316727292, 757.20929769793702, 757.5057509824095, 758.61721865744664, 759.45240788731724, 759.96507738660659, 760.0846630683551, 760.61134928596198, 762.16399933781042, 762.52762579797229, 763.58636486219837, 764.79533492370763, 766.72241219464331, 767.91639855765948, 767.95769260137058, 768.65419331924727, 769.19870089834774, 769.6552681025421, 770.10696658020436, 771.27733426107511, 773.76557915037347, 774.70725878570124, 775.22109353860503, 775.46185607601421, 776.79637496202656, 777.5281523385828, 779.07889370801126, 780.65731985525292, 781.58686846965963, 781.87167008933625, 782.77757799127198, 783.84709829593896, 784.08619006479796, 784.42064052656849, 784.66354592125651, 784.94382574413783, 790.51318829229524, 792.04824247496845, 792.60170622967792, 792.69380518982325, 794.31142310537109, 795.89505483066011, 796.24249943270661, 796.66423105512854, 796.83130794679312, 797.1713400166866, 797.75929886697259, 801.46417249613228, 801.48470563557692, 801.86264635910538, 802.21751436359114, 803.88306548633534, 804.17021742184966, 804.56413093968206, 805.70888840873158, 806.55974167777731, 807.06790855595193, 807.58985987487972, 810.69732787130022, 811.80911831579238, 814.32596763930144, 814.44713772107946, 814.54994901648945, 814.7803686977777, 816.85452589683371, 817.89639350889263, 818.56605627580132, 819.68295453084045, 819.97013075900327, 820.11963106345286, 828.00942537340313, 831.00546012158816, 832.284136287769, 833.12572211506006, 837.92398239809177, 840.0335336285101, 840.24823880010979, 840.35149668928818, 841.74360198967338, 841.82899683495532, 841.86221010955126, 845.61665889279686, 846.32207945156665, 846.58194566735745, 846.64536336674269, 846.71930227585426, 847.08044093361582, 848.15042362821362, 849.54189456465383, 849.72557712703474, 850.82912067794484, 851.8143953211453, 853.11920425466121, 853.22545827238901, 853.28610060235064, 854.00469288720171, 855.71431316317558, 857.65614049074281, 858.08171169491038, 859.28469340953575, 859.41253696945591, 859.59396446497055, 860.50788245600427, 860.56324399710934, 862.4758596135689, 863.07511902712156, 863.75102083173385, 865.36315163567554, 866.62521395616602, 867.31291271658984, 867.5111948060644, 868.88919308682489, 869.56670748278805, 870.83181225693966, 870.86912936620399, 871.12515455541154, 871.4565707510169, 872.84874775833862, 873.37036550074583, 874.27649973626751, 874.46944503393354, 877.62167354636722, 878.0791605004473, 879.28828904419208, 879.77207171024122, 879.97878079572536, 880.20870795811743, 880.44621915064636, 880.82200873004786, 881.59726637335552, 882.22241569490268, 883.20805584633376, 884.55347145704206, 885.30573112157163, 885.37622674180477, 886.82738512654271, 887.83960029738421, 888.05742369035454, 888.29866094930719, 888.43699083397826, 888.66479517494395, 889.36499933817004, 889.89568712647099, 890.85614295072116, 890.96161428915423, 891.34722949086699, 892.79383649134388, 894.9925024981676, 896.97059462298, 897.08635589997152, 899.484609269364, 901.01563006818196, 901.08942232101833, 901.56082301090726, 901.61510311414156, 902.3789897785407, 903.42900197625556, 903.46117191559881, 904.30472670278755, 905.90909474543992, 908.43953804990701, 910.91679073046282, 911.68662867087198, 912.1289181296105, 914.81314315421014, 915.37909864783683, 916.32454020180865, 917.3474958507378, 917.617433658648, 919.35762380792471, 919.7013731423159, 922.02677389328494, 924.77633598090165, 925.8217201268734, 927.62581643335216, 928.03551010253534, 930.43507165448034, 932.75367839669548, 938.44733268971106, 939.5313301512449, 940.37485069351953, 940.70249465035829, 941.14480073154277, 942.79994429048543, 943.13038473636766, 945.78987532149267, 946.16257652912986, 949.71755133812462, 951.66766781577724, 952.0616556289574, 952.54965492181759, 953.63887673483134, 955.62796025215891, 956.30567798409106, 958.29340217124059, 961.61077485344629, 963.18382932140605, 963.78639360638829, 963.89663886063352, 965.51191074180394, 965.73837333152085, 966.4621820017378, 967.16551371225614, 967.19384858439946, 967.47283918235382, 968.32083039968427, 968.37238659431625, 968.77003138601185, 969.33709491856166, 974.6669122725001, 975.24423071403373, 975.29619899158263, 975.66918274793875, 977.40998421998597, 977.58901534280005, 978.13576920827154, 978.76663223943399, 980.4886094674456, 981.07437763479072, 981.43673611616816, 981.64407063235979, 982.47707025598515, 984.30562565045739, 984.45040466807814, 984.83473091281257, 984.89562920380513, 984.91957003354366, 986.03400878219236, 986.56531386789857, 988.71957800566668, 988.74039863517612, 989.74822246457302, 994.76387073030139, 995.73785222838376, 996.07712519875906, 996.76192726443026, 998.14915498985567, 998.40808426996603, 999.23250940707192, 1000.593293023486]),array([41.86978628274877, 41.898515067368287, 43.618897647312942, 44.827410475691629, 45.204144312713154, 45.278188234716069, 45.704452551406284, 45.767715694686537, 46.395691748139463, 46.433866744589913, 46.576776947806316, 47.108235378516063, 47.401392147219113, 47.887006291924699, 49.647488072560726, 55.394071592778964, 55.601968269697657, 56.64922714630044, 57.032824647649697, 57.082333731074868, 57.383186414768552, 58.440224489055851, 61.005992606125012, 61.234976062426021, 61.490229089669853, 63.875130998486689, 65.133328972777406, 65.89426210806792, 66.103426986222658, 66.634763754061197, 67.197821815314597, 67.326465586602296, 67.881180880610287, 68.141414963441846, 68.521725028665756, 68.817579235043368, 69.982432431140936, 73.416623000874452, 73.703836140905509, 73.821480639824316, 73.882664198472881, 74.971096384389739, 75.051051235511196, 78.969150447693991, 79.279243631847038, 79.688244493107618, 80.246157955321692, 80.841980372238098, 81.515573585002656, 81.842947439485769, 82.032891658006506, 82.98767098331524, 83.2288505929357, 86.38234014852911, 89.299612662653672, 89.34283284863595, 90.079036146312902, 91.749037453310521, 92.001894662561057, 92.292926971472511, 93.478547655812989, 93.629679228455743, 94.08846439635019, 94.61492287174967, 95.849444884942159, 96.09947852770442, 99.670033165271278, 100.00744377198703, 101.09153377693497, 103.96955557162489, 104.77734691163256, 105.16533166437006, 105.64857493009708, 105.88174977066384, 105.93599955473991, 106.63068550036201, 106.68177736572363, 107.24040974107703, 107.69772244856202, 107.95632706971941, 108.69770653177976, 113.33035565231296, 114.35388251627667, 115.50629179355191, 115.54929924072525, 117.418845109655, 117.93434854640533, 119.44545795818109, 120.0616295305939, 120.95551324151441, 121.77069107262463, 122.49066859854032, 123.614376553274, 123.94995981219527, 124.2929593758, 125.31935712897021, 126.8347907156124, 127.68643438827151, 129.39493997024363, 131.20869612178674, 132.86655112141761, 133.26907363737101, 134.87384591748582, 135.60419799458177, 137.78078540132393, 139.14209747155132, 140.36424391653014, 140.53059407189926, 141.44274001668907, 141.63310138912561, 143.06558659427012, 145.76240998223295, 146.69592720203735, 149.22865974934285, 149.80128740057933, 152.19135504766146, 152.64405301169941, 154.34695683179166, 158.89584467504844, 159.73516024671838, 159.77696069556094, 163.81457956573266, 164.23668712441767, 165.71108380471188, 167.01071502215888, 167.38358574886394, 168.21928071177496, 169.59907201417647, 170.7260664777582, 173.55129447187571, 174.10017843799227, 174.68328344524753, 175.46855663370292, 175.88007742498917, 177.75957015661362, 178.26654377204807, 178.43153138030092, 178.59197319793412, 179.569174622753, 181.34328306795925, 182.39777189766957, 184.02884571488784, 184.61672672049417, 185.43588830390328, 185.90203858733389, 187.45515497181623, 188.24863489538683, 188.58055778698147, 188.92926877065702, 189.2676006654961, 190.03890780756691, 192.95054117232246, 193.2193101790584, 193.39877341894419, 193.86175591724822, 194.41713035617977, 195.95358812709151, 198.92589594718149, 200.63795069881274, 200.70940556059054, 200.94396005803299, 201.74597835933383, 202.05860485124293, 202.15226565928063, 204.09733275020449, 204.29013160233248, 208.34871087265503, 208.75835573575947, 209.95142781040803, 210.00629394654709, 210.4207826454998, 210.72781540795043, 214.68646247797349, 216.432163337579, 216.99236395724216, 217.56802224224722, 218.57950065036187, 218.91566852572532, 219.01746030754924, 219.89436706785574, 219.9792258775897, 221.02605057673239, 221.9463009823595, 222.17531901315439, 224.32717840621831, 226.28150939022245, 227.87171075404751, 228.19249505475466, 228.58022315410568, 228.70914699668344, 229.39190603558731, 230.48713869600044, 231.50634387913703, 232.80356664682085, 234.17776546385517, 235.65717517807312, 236.28807731805534, 236.73955455304403, 236.91019747775113, 238.07799490673628, 238.86853020002587, 239.56525881179451, 240.38465374333302, 240.71472926492453, 241.36765756069332, 241.65616419223642, 242.88366845372661, 244.27568933632892, 245.06566472226089, 246.47313085790273, 247.61810725767586, 247.76548375198948, 249.57818440769304, 250.86919170829654, 251.14369056242126, 251.85888142808756, 252.03901856429573, 253.70685745941032, 253.90618621745691, 255.43935733107003, 256.37163384733748, 256.76761134111939, 256.86337286569005, 258.39263862157367, 260.74098258039811, 261.63971117715221, 261.90214220030947, 263.07639593967463, 265.10571380814469, 266.699881959241, 267.82209797469511, 270.88048977436779, 271.19274375482627, 272.31588396652569, 273.64357803796537, 274.75774981033175, 275.06701949143229, 277.59153801365864, 279.76575002348443, 280.94067261300717, 281.02257656949365, 281.57152595781344, 282.03355568615052, 282.0651144753316, 283.03281648227068, 283.19732403606025, 283.42341860064005, 286.45412305778331, 287.12943071836713, 288.06277116462655, 288.79809818017435, 289.47425451070035, 289.61101451952578, 289.90821297821367, 290.73963319012898, 290.86927766495864, 291.10169273363448, 292.85702612351736, 293.01245314991644, 294.59217413251628, 295.49201022819523, 297.0637349790087, 298.2477204341389, 299.33186805131209, 300.57319308433796, 301.30200213812827, 304.59318770565835, 304.95811410867702, 305.81997513138515, 306.26933674337175, 306.29154075664451, 306.75633674473448, 308.24322014930743, 310.28165019376507, 310.44995807724695, 310.65376082095793, 310.90045542891397, 310.9467469355842, 311.13676823004971, 311.31995551894096, 311.71395170569241, 312.14819550369822, 312.5133612184153, 312.61477625761108, 316.13032445379622, 316.61438919974199, 320.52730636968676, 322.26850381359304, 325.23728783192342, 325.31786159538956, 325.56011664268829, 327.39742696148272, 328.1434569860881, 328.62245118819465, 329.96819001070423, 330.32922882853723, 332.49765570668109, 333.03073830056076, 336.96147012936052, 338.4221704174231, 338.72145153068692, 339.574778731702, 342.81971829004226, 343.00704645477907, 343.06602542887646, 345.63714074770161, 351.25956372155042, 352.36721329367026, 353.37482537059071, 353.50278067446902, 353.89674670996146, 354.0922881408386, 355.48693885785821, 357.28681621494451, 358.47136925623545, 359.29182368082718, 359.87353896020591, 360.74929630316569, 362.12184296465648, 362.75698873018308, 364.11586514324546, 365.42357978050046, 366.47618214025698, 367.81087452252814, 368.44026369342475, 369.68333919652667, 370.91705068181795, 371.84297550236556, 373.16114590808439, 374.47145647087348, 374.61465048016862, 375.43889993949068, 375.46119230293147, 375.51200848730286, 377.39084897122473, 377.54213157245397, 378.01672387780218, 379.66422959859341, 380.70056237972472, 382.63184084554109, 383.9661379173923, 390.09020312247588, 393.6010782539492, 395.51770656403698, 399.41252574870168, 399.63397511664556, 399.74978515483122, 400.00989926845529, 400.21218966858072, 401.94990959510307, 402.0347236769328, 405.47445070443217, 409.01621286464945, 409.58218170111365, 411.1427009604738, 411.85172418033449, 411.95089810125506, 413.50186750779267, 413.85016140314258, 415.08577274193942, 415.19623013174072, 415.3009977891524, 416.24192568234571, 416.66977450898878, 417.15839810106723, 418.00826769279001, 420.5705491199447, 420.92612190331124, 422.01946094225497, 422.64736053252898, 423.31492944498444, 424.29191905221387, 427.8317854841431, 431.87657751602723, 432.25545567410518, 433.72088976709188, 434.9796819916981, 435.6827720680912, 436.06907409072431, 439.79661116451683, 439.95888055271701, 440.28565368279794, 440.90473747329469, 447.72029888973054, 447.80647525564336, 449.69818022672695, 453.38524706026027, 453.62853698615214, 455.02927235567017, 455.49847712124006, 457.65709268777601, 457.68175823276778, 458.50114404738014, 458.92715775815941, 459.22994995070155, 462.21540437436835, 462.318468623314, 462.6541409897892, 464.02665204429906, 464.86726784705468, 465.6472469009442, 465.79171224236393, 467.18116407931279, 467.4099980889622, 467.45000431640932, 469.66754335928755, 471.06725931877509, 471.51291396351672, 472.92479587109716, 475.62099629003831, 478.16902058940195, 478.84610051399949, 479.81670422649222, 484.35498047984186, 484.75661572972882, 487.1542174007426, 487.56287509057654, 488.30698545536342, 489.04691930016253, 489.87075680412914, 490.15133686943648, 490.91234493423542, 491.34440925627678, 492.9801481607704, 494.11212087184794, 495.61925974117042, 495.68235302102397, 500.81420067527, 501.06979015670271, 501.14954512718737, 501.79591543710427, 502.54629578177696, 505.18149783258923, 505.3928171391338, 505.47898890915457, 506.79423392858149, 510.31037847489182, 511.53614276630321, 513.17704385636944, 516.18841125517781, 518.5363460748797, 519.99906974396015, 520.3589266441021, 520.61218390286376, 522.57397340733326, 522.95704306357004, 524.14198874629233, 524.21220979307589, 524.28790246454798, 524.48939468122603, 525.9933097357507, 526.57468248117641, 527.0360919964719, 527.60423694784686, 527.64224151103258, 528.64083464712496, 528.7403050484387, 528.97095323545727, 532.63079313874232, 534.46977258026538, 535.92173476052108, 537.55588591704907, 538.34280755355246, 538.52201073921265, 541.56960810475391, 541.6594172068684, 542.89598927686802, 543.42080776918476, 543.49068582887503, 544.1527423523421, 545.79939578568235, 549.27627928699542, 551.65606173571359, 552.25937877513115, 556.13311294429627, 557.13715178326254, 558.41853382981481, 558.9198756202735, 560.12866697564175, 560.21987513867703, 561.02081509392326, 562.04994910046537, 563.31304120068341, 563.36018301992954, 564.26353647691462, 565.27293123882896, 565.57155235677499, 566.30409979911599, 567.34728893441263, 570.18892562483666, 570.53612742698806, 570.945840838457, 571.62291756712364, 572.38338386926898, 573.46408544067003, 574.09660384743665, 574.57501123486213, 574.73149280371911, 575.00479402284896, 576.73505136395545, 576.81903727921247, 579.80172335807868, 580.5052647606866, 581.87408405859492, 582.75385798208799, 582.82561621700427, 584.5188271016724, 586.42817279674682, 587.04281119565633, 587.16178186748959, 587.49079714978529, 588.04830002234633, 588.31979509986354, 589.18621236201341, 589.88559646772717, 591.70028395498923, 591.88629871079138, 594.52508789175556, 594.61367932306132, 596.80908027471219, 596.83137164592961, 599.05278877557203, 601.41408225001237, 601.73876506762963, 603.79007448807101, 607.76195327909466, 607.89468415236979, 608.04284620392025, 608.66616066105803, 608.75943029632128, 609.64322039530816, 609.67949827365567, 610.03562563801381, 610.84845459233452, 611.88384720970305, 613.1237908686669, 613.77500346126953, 616.56792235540252, 616.85230810419819, 617.1943187327696, 617.51324715081796, 621.14580654808765, 621.34701064573039, 622.52126689652744, 623.55260745720216, 624.94562694244678, 625.40953387906325, 628.01194637245965, 631.31644727609887, 633.68362223734425, 633.89221611922699, 635.76491690719649, 637.18380457361218, 637.4098944859951, 637.58766828954526, 638.02023077790989, 638.13945568314728, 638.50677161519491, 642.73301641639455, 643.43341600559654, 643.67281983318833, 645.96672866651681, 646.07947055016234, 646.91452180575334, 650.21786345178634, 656.03946274337045, 656.23134285063486, 657.73556817391761, 657.78486808481659, 659.02310037866141, 659.39971852914562, 660.50021080258, 660.93753799991703, 661.38998248904397, 661.58131910436043, 662.01482436900892, 662.16281060592826, 662.647150841084, 663.71391731966423, 666.88622332350326, 671.22464010600299, 672.252763509945, 672.60226560616707, 672.79111982359598, 673.84911489717217, 673.97575903948609, 676.06761276599184, 676.16135212994584, 678.44475959432089, 678.56701357390909, 678.62783247203652, 678.85906218603168, 678.92118298790854, 679.95045928217576, 681.39210915120918, 682.80046498714967, 683.43478477938288, 683.79330997357965, 684.48455963279616, 686.25347317761282, 686.57085808893453, 686.86958937757947, 689.04164347928452, 690.30387289725707, 690.35305768486376, 692.99302272057241, 694.75337259465027, 694.99400823318001, 695.1332713653735, 695.20633902372583, 695.91155130995514, 696.31037459255447, 698.21387712308433, 701.07381718319618, 702.14084652497206, 702.26225752770301, 702.28504565669436, 703.28540055909571, 703.49631790330818, 704.58037710807673, 705.12550721107129, 705.33844381589893, 705.74084136407112, 706.32291998923222, 707.54102486016097, 708.21572828124431, 709.30882045077999, 709.90330038463321, 712.94377115114901, 713.13361861567978, 715.14720471455325, 716.20617392889551, 718.80140014268727, 720.25056247506825, 720.3919021301009, 720.84629320542433, 721.90336689715991, 722.44768504860485, 722.57474387922127, 723.63357411733227, 723.93048431741965, 725.10029062533033, 726.76583498157072, 727.19117113259085, 728.50411808711863, 728.53539766702727, 730.03888453561888, 730.31651990493799, 730.89990732197168, 731.17228517000228, 732.15146920550376, 737.4102966725336, 737.84924349568576, 738.31485331860733, 738.98033356711267, 741.50146750198769, 743.64735366964237, 743.73527601908575, 743.83953723969285, 747.03605668370699, 747.20741704794386, 747.58594303197026, 747.73042636001639, 748.72548053656033, 749.28511466948476, 749.52742663413517, 750.17845906538105, 751.97373253896296, 753.29771201502138, 754.56685399151058, 755.48415546742933, 755.64775503208762, 756.79571482329402, 758.36738475708444, 759.19187188713329, 761.50136716051929, 763.14961694410658, 763.70510709779319, 765.44175743821222, 765.70140122922612, 766.08804832807687, 766.80632710148166, 767.21903938849573, 768.79943936201573, 769.86905662248989, 770.91378508764126, 774.23810110693512, 775.50272259549808, 777.3242383553594, 777.60730538479947, 778.96009297480259, 779.41134257723161, 780.73422648268104, 780.76661245206924, 781.62019056346935, 783.46544738263981, 783.87802148505978, 786.83507721062881, 787.56275622426006, 788.98083465476338, 789.39690301346377, 789.98918756587364, 790.28851018689704, 792.84884130762964, 793.91913741246481, 795.32797888703408, 797.14015052046022, 799.00354034643192, 799.16659091344502, 800.71238471483139, 802.1425735903257, 802.22654801432896, 804.22585711149543, 804.82739130949108, 805.04797055824531, 805.15281572217941, 805.62979834021371, 806.46493677949604, 809.26044023720976, 809.61856423196821, 809.76302993591958, 811.13066015797358, 812.03043525294117, 812.22545446662525, 813.17449020391575, 815.4834625533058, 816.80267957076705, 819.14594286691499, 820.06057752974118, 820.38965197572156, 820.73104660883723, 820.75816815549103, 820.9283599468273, 822.34062073095265, 823.41313167806334, 825.25465784854634, 825.54734387652582, 825.82686162415825, 825.86012430466155, 827.08481979525027, 827.33254109350355, 831.5049310558926, 832.26657710026552, 833.00524325814547, 833.56826828127862, 837.16840004821631, 837.32029822947891, 838.38279936090294, 839.35994827560228, 840.0507633473942, 840.79108132981082, 841.00004996660084, 841.68206377440174, 842.73595233991568, 842.75827194200133, 843.3151732881156, 844.57518271997287, 845.07888035188103, 845.8220189066509, 846.3815577735968, 846.67290449222355, 846.72565042881024, 847.33050089874644, 847.49069508208856, 848.24308333509373, 848.80991511039144, 849.97753427886516, 850.40802669679772, 852.28037480573039, 853.40420404153303, 853.6464717346305, 854.86029908067337, 855.5704801667473, 855.75682922614453, 859.43689358605252, 860.10503938472175, 861.67731474975699, 862.90272339514092, 863.0484594348269, 864.3299722120945, 864.7835635203636, 865.0630939680226, 866.14080292968538, 866.687573304941, 867.22312172048487, 867.47618140564816, 868.06550577328551, 870.24668717694499, 871.22584581072329, 872.98740555400116, 873.53986298288862, 873.84370476508957, 874.59431262621376, 875.01977660510056, 875.36251552447698, 875.47525371925724, 876.02511324268903, 876.10983050262962, 876.48385729860956, 879.31860744060816, 879.6398805421851, 881.84283385296942, 882.13913480458018, 882.63179760724267, 883.1841402030002, 883.6321737569657, 884.28123644997083, 885.14768244049344, 885.86734313095747, 889.55659877619678, 890.06005177792713, 892.7931576876266, 893.43087824696454, 893.74496795078073, 894.4503997760396, 895.45324221242834, 896.64595963895704, 897.2116807188437, 898.33778934402017, 898.97375196807695, 900.31573471020238, 900.68574390209778, 900.79214969111456, 901.21918707500515, 901.90971834377081, 902.95330234040352, 905.93204840198848, 906.68627136151338, 907.88565936550435, 909.05253877719224, 909.26167919918737, 910.36968163275662, 913.52197276761456, 914.82180889054405, 915.89611675730475, 916.35195641034625, 917.07156287860732, 918.14964990175031, 918.53095406937882, 922.05588335997777, 923.31522064330375, 923.43187293313395, 926.77333168650443, 927.3406380807404, 927.76961686690981, 929.84600135914206, 930.54007951884398, 931.29920192552788, 931.38731113471135, 933.32534956149993, 934.3190921559534, 934.63022989052968, 936.00237232172435, 936.2978923272434, 938.39937884073777, 938.67113938438752, 939.70711355959838, 941.17602684017118, 942.15434267960609, 942.28673615327523, 943.74750042371977, 944.26334218135003, 944.45336735697072, 944.78691674491756, 944.9187535580387, 950.69673587869613, 951.66056463076109, 951.7012430588693, 951.87967973199579, 952.15833754813923, 952.92825724466695, 954.74438307068726, 956.08795516443047, 958.19892849580208, 958.60433630805517, 960.01092902246944, 960.70888931263607, 961.4755462100934, 962.90224105381242, 963.44067221655507, 964.50989418324104, 964.85014231099092, 967.89164322975341, 968.29782927866393, 969.45765138140678, 971.11632228286726, 971.2950448173624, 971.85090629734452, 972.38159512337427, 973.45219611663424, 974.68806474398741, 975.36954045760569, 977.22862298001098, 977.39892593909474, 979.05021165630399, 979.29879973650725, 982.32418399321625, 982.54082672671325, 983.38103016446621, 984.47112566956946, 987.27453078091662, 987.4584864151949, 991.66831579641564, 992.57769850892498, 995.51445532554214, 997.49218909107174, 997.51670542137038, 1001.406142152131]),array([91.537258081528492, 91.594636600871269, 92.430450746915866, 93.341483197872535, 94.763085626240709, 97.276642788119631, 98.333289392660333, 98.906555348436257, 98.941577563995338, 99.215732270454495, 99.499822221651769, 101.02434802950333, 101.13911140562537, 101.46082816521309, 102.87515213443397, 103.03837742063115, 103.10452305211246, 103.7951027825187, 104.31322312577197, 106.57125446158246, 106.94151696903678, 107.01001911518702, 107.78535018376387, 108.20793265646682, 108.4875663555144, 109.35605366339013, 109.47998979452524, 109.69960811305829, 110.37857886443695, 110.41645642569007, 111.29032660250513, 111.71953757251811, 112.23689301826485, 112.27019224183988, 115.84523693465793, 115.9278476588692, 116.76376383680893, 118.33184065475513, 118.36267690149371, 120.44699954601576, 120.84430093665262, 120.94789077437942, 123.65640652504619, 123.80755609161716, 124.31152707301086, 128.37479745935508, 128.63080952295306, 130.8010517534116, 130.8515616227682, 131.24700786632224, 132.40635353287314, 132.53830830169466, 135.03405088221925, 137.94016400306103, 138.29709191549486, 138.66403033562619, 138.92133999629417, 140.56828095998648, 140.65540146237032, 141.78287407196814, 142.50877238970997, 142.76958806769676, 143.66938270054393, 143.74666617018684, 144.56502451112112, 144.70893998733806, 145.30925887856947, 145.56767555371317, 147.31191118702924, 148.8984195188643, 154.23204740448062, 154.8819248094309, 155.22879769730932, 159.73228333523372, 159.96156359837275, 160.0422181503782, 161.99106860696543, 162.22179230143075, 162.25491235170529, 162.64310140003647, 163.11690336136942, 165.45534963677062, 167.4655271683107, 168.28418763696709, 169.37790309127828, 171.77669932239806, 173.37176359706453, 174.07422707289473, 174.23229521800579, 174.58919679657654, 175.35322361979274, 176.61696992870054, 178.53260255532439, 179.45561561514145, 179.7814111624885, 179.81145789853386, 181.49074317068704, 184.50496064171, 185.05448417453789, 188.35640975010847, 190.26294840254258, 190.37219664954426, 190.44047477450076, 190.70919568922201, 191.30340896506354, 193.5695460229559, 194.42709574845571, 195.00893422951398, 195.07919244381128, 195.38126767813512, 195.99752668526193, 197.5818675321658, 198.69878659178588, 199.42876239401616, 203.77564594761878, 204.35287426634861, 205.55774440641636, 206.07103304453759, 206.87466057581639, 208.25093695611605, 209.83764612142116, 209.91681733571511, 209.97202353234732, 210.78292646075545, 211.24420067190286, 211.87906602880554, 212.40653924954316, 212.45432910786633, 213.7001541731554, 217.18010188070949, 217.96274605913817, 218.42723853277795, 221.14284760860684, 221.35840930092263, 221.40696216106755, 221.57001858505163, 222.4322834938059, 223.11635787050014, 223.29665887675483, 225.43168717907093, 225.96204077078741, 226.47434818327724, 226.51667393454505, 228.32803433329536, 228.37422365299196, 229.80133408408619, 230.62967275538892, 231.06622636625053, 231.72280279283322, 235.4435915157637, 236.98975066761801, 237.69692586433763, 237.90681143101321, 238.32321211212727, 240.63467000512966, 241.15493125681289, 242.58901164911239, 243.34677272686125, 245.74370316005806, 245.87550280331277, 247.38601186782313, 248.15666675557384, 249.13155681952355, 249.83511404415225, 250.23821531015389, 250.56363728451976, 252.38249233100359, 253.00435289134867, 255.31787652777075, 258.42114380134166, 260.1918069859646, 261.00321456664591, 261.22598755180314, 262.50666372906159, 262.58838890308954, 263.53330872170443, 264.30042461943708, 264.69944419332137, 265.24944875831318, 267.63366838667014, 268.07805855849125, 269.80076265292575, 269.82219301740201, 270.36947362121009, 271.01810353418443, 273.80434517605437, 273.84641643968899, 275.84351796127964, 276.43889471889349, 279.86387048916714, 281.67844297951569, 282.32954504567829, 282.71381717710102, 283.99196759196838, 285.29431946453366, 285.34214414947019, 285.6840144203212, 287.81516269101689, 288.43644602988678, 289.16458448748267, 289.1955664611454, 289.27347467376154, 290.24561841967738, 291.50792779737554, 291.69177993053137, 291.84385274894839, 292.92335491027387, 293.20686331921405, 295.11711076852993, 295.21946567407662, 297.99200975470097, 298.28188120191004, 299.29818652594378, 301.51572183384457, 301.81678895645757, 302.19680362272015, 303.05747073260483, 303.269229483201, 303.54268225392343, 304.27460428206791, 304.60179048898289, 306.98746184833658, 307.04112729286646, 307.70978162954736, 311.51374833387968, 312.55620073125522, 314.00452833308032, 314.83700052612619, 315.49703626393506, 315.60094960434969, 318.37243398470014, 319.98400387765724, 320.61963964063318, 321.3186349122671, 322.78783519620049, 323.34931229571725, 324.85491111846176, 324.96657668780972, 326.17886263218787, 327.25204990813029, 328.06222886235929, 329.72631577111548, 330.08055611345128, 331.11166305825122, 333.51852856590887, 333.91818362421702, 334.00093341614189, 334.10683847819399, 335.25584322444178, 335.42416278892881, 336.78096598749636, 338.80113610227164, 338.9885374826805, 339.62259429768847, 339.76098220342703, 341.10487069895021, 342.14195046243157, 342.19973005584069, 342.87830801518078, 342.96713984822986, 343.15630560384807, 346.27793421439935, 346.59124385673812, 346.78927781500369, 347.91105699729451, 347.98359821075763, 348.79112015208727, 349.61114257962402, 350.0081015102889, 350.52868419161359, 351.21174885065591, 351.4352446416928, 352.0587641306642, 352.24573285988083, 352.73907200633897, 353.58820781155333, 354.64458741159336, 355.00944664085483, 355.07125554481206, 355.34726192650271, 356.6645149432419, 356.93448477026493, 357.25697042206446, 357.4752323166926, 359.74324961980983, 361.40166584888249, 362.21399621601881, 364.74673799234512, 364.86716647161245, 367.98661764385554, 368.56584888639372, 369.82185362195969, 370.52450328434992, 370.98675687132896, 373.47041075692482, 373.85149159109329, 374.76167342475219, 376.1216095739062, 376.27855179452007, 377.93488725465176, 378.43299346307992, 378.63054264798234, 382.44217851060716, 384.38691162828184, 384.422674724388, 385.07477102779956, 387.19047695412127, 388.38837256607178, 388.85665168735824, 389.65038509073037, 390.05274257996075, 393.68780992416356, 393.92521844523469, 393.96721025630933, 394.14116652842779, 394.6142496210536, 395.58595837985695, 396.27939252416149, 397.01833537185183, 397.93750612229832, 398.6323715737114, 399.08451484352605, 399.12180289353466, 399.52747400803514, 400.24024280382821, 401.03970101519633, 401.24111444184314, 401.64919895966477, 403.68431817943508, 403.70690870626606, 404.11775193755244, 405.57317584827388, 406.8271591510856, 408.07341399644434, 409.34425448115456, 409.40233903116018, 410.54787992988463, 410.67326790136599, 411.26298973773891, 411.28768936785212, 411.84276283413317, 413.46884514705715, 413.55143193261313, 417.32922614297189, 418.05795009835151, 418.24689912069425, 418.47588294093259, 419.77451965874855, 420.75699932350926, 421.36478892499667, 421.97157600510792, 426.34126122976437, 426.84819186379195, 427.64187369576484, 430.40472620912595, 430.72653498482168, 431.07584137062003, 431.61168317197217, 434.16676299651812, 435.24123942742699, 435.9202869578159, 436.88638642969482, 437.563601200542, 438.36612310811512, 439.30007541930786, 440.64523634652051, 441.58159630769978, 442.21330226278434, 442.52341222601717, 443.39754013335539, 445.76987454428644, 447.09106160488307, 447.56984595804693, 448.61745140528359, 449.17633796056464, 449.50701925861898, 450.41101273043898, 451.72377582103104, 453.79987610664915, 455.84367885319449, 456.16189878733508, 456.23641137387654, 457.54753529942525, 457.68880028363435, 459.34702691348986, 460.74175082120354, 462.61833430349543, 463.66811728154653, 463.69266637301365, 464.1853153425858, 466.19110074623342, 466.49520894702619, 468.11443383361683, 468.50107152942888, 469.0989081612824, 473.45089593405936, 473.57457732575671, 473.71025421806377, 474.55129530046207, 474.68865980735194, 475.15269337017872, 475.79799226295995, 475.94349601180107, 476.15642721122083, 476.7351776091769, 477.16489154457577, 477.18752066756946, 477.32326331947758, 478.1775770041009, 480.5080920521587, 481.86623642943096, 483.61930631029156, 484.65645432542868, 486.78158022426953, 487.11406201753056, 487.34609580951366, 487.99606840241898, 488.26346734723319, 488.39288216800054, 488.82029700098599, 491.62695028229996, 492.76289236091912, 492.9485001136407, 493.30079672048817, 493.57816923693349, 493.94465642631741, 494.09969780105996, 494.97035816850911, 495.26615050371009, 495.71601978431437, 495.86521499504119, 495.97684345004944, 496.94299724097965, 499.9652583198561, 500.10222624018348, 504.38961326651923, 505.8909337099048, 506.2161960962116, 506.92555080765948, 506.9567062391576, 507.36724843320332, 509.44965111143739, 511.29089446890828, 513.16507098803891, 514.99680852715278, 515.75567578552011, 516.05587064045142, 518.36324467381144, 519.35710613455478, 525.26264374346636, 525.40423291770799, 527.08113938113536, 527.87294489558042, 528.35254738023218, 528.61347110423924, 531.5940755383557, 534.94885546114836, 535.46407818750924, 537.0826098197449, 537.95892811273211, 538.97084798639378, 540.16948256875651, 540.34436739929197, 543.13300018408904, 544.78370056839651, 546.57552770212055, 546.78176322630645, 547.7197303126469, 553.0754733663756, 554.1793465621887, 555.28211646065404, 556.9485937732104, 558.80705860251283, 559.6469299954116, 561.50021526116575, 562.26660838639134, 563.50624370402136, 563.68290687009164, 563.82076064684475, 564.7683686262335, 565.61906760931606, 567.2511998154589, 567.99954755749343, 569.32788253008573, 570.63056322319824, 571.58152416364192, 576.43653879906333, 577.79830458730942, 578.16663057811411, 578.54174249750054, 579.87352273034708, 582.04096077191139, 582.7583962478783, 583.56061952159553, 586.12140214440046, 586.44560526067414, 587.4913648819844, 587.63146952542149, 588.27864491367882, 588.34290311286509, 588.62931132238339, 589.11537402760041, 590.5293587475843, 590.59610806971818, 591.0324353349954, 592.37886842791602, 592.86200386323208, 594.39477305551441, 595.03765059334478, 595.44279980670967, 595.72507147033116, 596.64791799970953, 597.86095423519305, 597.91966074912295, 598.51825537004993, 599.23264154941387, 600.5405750400397, 601.04378052909362, 601.20407047893116, 602.50888814307359, 603.61070690721738, 603.65786873602997, 607.71433122870224, 611.06017337373862, 611.64510811291132, 616.0073134394504, 616.45130005435294, 617.194487155356, 617.71028493555821, 617.74050356753605, 619.60661412247191, 620.78233893284425, 622.39248307777405, 622.79228434196841, 623.3380342205229, 624.72940455427511, 625.23242207428257, 629.29337180022685, 631.20554485163973, 631.52507786131866, 634.24330491454737, 637.69975337670292, 639.96048343648965, 640.81621565555793, 640.95825973355034, 641.04756752736296, 642.58212515806679, 644.76255709076793, 646.18169268715769, 647.00979576428597, 647.28573343062669, 647.41406887401524, 647.4541036639032, 647.54101771657929, 648.58778219471105, 648.67608309586979, 650.93410004147734, 651.85643573733137, 652.74336593556711, 653.68434790850267, 655.96100524895758, 656.96856669640931, 657.45125259263898, 663.11256925300472, 663.54157881058688, 665.27283935155765, 668.04803878576604, 668.29816181506953, 668.58513483444619, 669.08251349113152, 670.70763149620666, 670.97261908296855, 671.06344457081354, 671.81031633799125, 672.51144546736418, 673.30542691394453, 673.86688801814603, 676.04173804818174, 677.7543312107141, 679.25747760028469, 681.28707372042277, 683.03610399347838, 684.86749217214651, 685.379460025909, 688.80956617598406, 690.98905478812333, 692.08409820145459, 693.71993643133476, 694.18954551683453, 697.40081619872933, 698.13453250370253, 698.67505043733956, 699.44114880080781, 699.6441658938304, 700.10111211766798, 702.20227064552978, 702.34617612086163, 703.31608369954745, 704.28354894435688, 704.3081259736025, 704.92497480565828, 706.89194090084902, 707.32862198848977, 707.76581344886097, 709.29273055878411, 711.17109406738336, 714.28866236263832, 714.63840542583671, 715.15309640791645, 717.9750727218676, 719.67448735015387, 720.32378379630052, 720.50205306126463, 721.05636742488991, 722.31718407038443, 723.99210801397896, 724.22531983379122, 724.82007448049819, 725.17283902484871, 726.02442537976037, 726.18941632085432, 727.7563628458629, 727.92315928956327, 728.50006024477614, 728.69167833993288, 728.95860877523057, 730.14528702883376, 730.80796347764692, 736.1047526987669, 736.99479463422779, 738.17438106693032, 740.6752524316878, 742.01141999217498, 743.62354432614609, 745.17592001046205, 745.79083749161293, 747.01587731709776, 749.05563095771242, 749.28353459497748, 751.11872000832318, 751.14045680182437, 752.94239298332684, 754.07072842758384, 754.75222639110598, 754.97738435673466, 755.35146799833126, 755.55812286692378, 756.15895132192429, 756.4997174527083, 756.97110484116081, 759.14824951477635, 761.77068224032621, 762.57858030068951, 763.81976426563006, 763.89704706856378, 764.15425554612818, 766.06978479438635, 766.21489239365906, 766.73677699955374, 766.99886105886821, 768.08366898717441, 768.85884513659687, 769.23651527438335, 769.49138573125333, 771.21835704005696, 772.7210777210064, 775.14037828698963, 775.21208018898676, 776.08157779820112, 778.26076931092587, 778.68034096097631, 778.78660995065752, 779.35581870863996, 780.58250540231984, 783.10554610447514, 786.38310057744911, 787.05113270473839, 787.2555200068258, 787.57741711605354, 787.9509687463335, 790.41683753477889, 790.43697972123402, 791.2620907401764, 792.91430089158052, 794.40333219200807, 794.66304789675405, 796.07915345644733, 798.38011826842842, 799.44628939345637, 801.43035301325972, 801.98036625429972, 802.17494054292172, 802.25486368428369, 802.38341393405221, 802.69833622365775, 802.76673435510349, 803.5835699725485, 803.68547477929917, 804.11259922146132, 805.22588261091948, 805.34723497632194, 805.69903549120932, 808.05377638492928, 809.12854497566059, 810.22248342043599, 810.42436728237703, 810.59673758586007, 812.10394317328553, 812.66035501716135, 813.02271655344487, 814.50179379262215, 814.95330460248783, 815.12018755123825, 815.20982960924528, 815.37186923296338, 815.48891917771675, 815.81009058494703, 816.10956097228427, 816.52751581170946, 816.72991814046213, 817.17061631470278, 817.51850298337035, 817.58452996669803, 818.44935374340014, 819.18918546774398, 819.77996691472799, 820.80892923612817, 821.0632043764374, 821.42771836503562, 821.70161340146717, 822.65626834126226, 823.02215189234846, 823.37170580551731, 823.43702164262515, 823.80523422395595, 824.95905523405531, 826.2802677897165, 826.61833919868616, 826.68720197495861, 827.47999475774486, 828.01781297687637, 828.22538289183353, 829.68310886770371, 831.10719189613235, 831.27683311572923, 835.30650476137657, 837.0070478676048, 837.47827868179445, 838.481960325302, 840.28568644477957, 840.38320791781348, 842.74106561640383, 842.91999272718738, 843.61423072460502, 845.08759971801976, 846.28078972005562, 846.61669519825216, 847.09505520554922, 847.13414567938457, 847.99271414657983, 848.67351924707043, 851.78840952959774, 852.38674834540529, 852.57565276760101, 853.38986130106593, 853.58841742426307, 855.32122114513459, 856.25385073325458, 856.52462313249669, 857.40325360629856, 859.70327665555908, 861.42194918147686, 861.52140860228985, 861.71874754058297, 861.96668869191728, 862.20023149309395, 863.05435120602692, 863.10690153312578, 864.34628789999317, 868.18025625032192, 871.5393554304967, 872.14378756501173, 872.58819710628609, 872.74340408208616, 873.98878738288386, 875.10446211858869, 875.21088404922648, 875.81602443696158, 877.73531182950649, 878.72387109915121, 879.37483069267876, 879.39579181572765, 879.66061234068911, 880.73977396422322, 881.07091354664124, 882.72849828888377, 883.41750025335466, 883.73908255552897, 883.98025099809286, 884.34017049251497, 885.28663425743878, 888.07486608289673, 888.14395512726992, 888.32761237581497, 888.43946114405992, 888.74292427002104, 889.61853960677024, 889.80796904786405, 893.09776465451125, 893.81056628549959, 893.96074722881713, 894.1640679995096, 894.6914744313209, 894.94271087238997, 903.63685242895269, 904.11816500791235, 904.39542172316328, 904.69268283809345, 906.33272036645781, 907.6666024600471, 908.08538334612706, 908.21752854445344, 910.03854126639658, 910.22155845417956, 911.87528333151704, 913.24478443593512, 913.72962344802954, 913.98164568388461, 914.03499260313731, 914.1177025602907, 914.66877861486716, 915.25498764432166, 915.27755511889245, 915.49505594392383, 915.6777201570319, 917.19584976375984, 917.5931362687536, 918.82280415745674, 918.85474314276814, 921.05014286722417, 922.09386775956864, 924.18246308196592, 925.98610365293962, 926.19220761457404, 926.6792862853631, 927.80045883454648, 931.41737569113411, 933.09622010548821, 933.73492455908058, 934.49717837360777, 935.9741723046518, 937.41928577256363, 938.87622920840533, 939.12843140053599, 939.14921902848494, 941.02742096770396, 941.08125599072434, 941.37496490978151, 941.55610712399027, 942.62623634037823, 943.33599959170317, 943.53509990220084, 945.84128176006959, 946.45396903962785, 947.59514720677282, 949.31220074228838, 951.53423134072261, 952.37075782719103, 952.77443397490492, 956.35857454593292, 957.13502326279877, 958.64851968514415, 958.97373526847605, 959.32618095179771, 960.48154338786696, 961.04809669965903, 961.48268861621057, 962.8977580550968, 962.93835654962163, 963.1978247110145, 963.34245685789529, 964.28722372243419, 964.37262651645824, 967.7892569004199, 968.38615541795457, 968.98664286841483, 969.10754074807085, 970.92568223195065, 970.96632698205599, 971.11555795219078, 971.5765850379687, 972.64883464137893, 973.60096637194295, 974.73414863660798, 975.02540720127536, 977.73808581147398, 977.8290032483502, 978.03189827813083, 979.10197636328053, 979.31258670272496, 979.94315015871939, 983.21591029590991, 983.46748899198951, 985.1821420247353, 989.38451889732005, 992.72072542481078, 993.35642832787119, 995.07268989519366, 996.33690578640665, 996.36293436256938, 996.50668597735705, 998.97950701823186, 1000.7608691766507]),array([72.099298754254676, 72.205763492092188, 72.977023323349869, 73.797910053233721, 74.341837718683649, 74.567985614286656, 74.618584931958239, 74.818229890780287, 74.939045114459574, 75.235988538085223, 75.668006935753496, 76.797040189758377, 77.279939101931177, 77.967403280823163, 78.437913632257789, 78.574375378627167, 80.737673669493191, 82.860493857034527, 83.228592642449215, 83.308466662161848, 84.863793494908208, 85.451818237331594, 86.118397819187962, 86.780824959207905, 86.888038546948309, 87.878309022396536, 91.494285332397766, 92.215990280849198, 92.656487847454045, 94.36438822304001, 95.75828895998248, 95.78769624574565, 99.413949169373069, 102.99169146642174, 104.83568529561005, 104.93029174112412, 106.11635229517054, 108.30853891788163, 109.22533760018972, 112.04033821848236, 113.37613184129009, 115.06645654871775, 115.43121706873457, 116.85442605686906, 117.51631952524755, 118.82426777630121, 121.2043027400927, 121.93039506201438, 122.12929203435456, 123.46971216443886, 124.82013902478863, 124.84959083951772, 126.09564258363476, 126.89999513093512, 130.72892581279609, 130.8202054691362, 133.00565066937699, 133.25328409738631, 133.56368614364732, 135.86609372295757, 136.4244858407954, 137.87027282200185, 140.15632627223195, 140.25177017830833, 141.5440102616046, 141.9124490545409, 143.00837321708192, 143.56650643808686, 143.77886221382713, 144.46078046039392, 144.87880480750346, 146.60887086819494, 147.7994058610451, 150.10006814381364, 151.37671674631807, 152.148821667736, 153.86036750662083, 154.65613856045391, 154.90038928642437, 155.38718881251214, 155.66114535465269, 161.20722807906242, 161.36859564804601, 162.23695559251169, 164.45924338887096, 164.90654887137063, 165.3496092446172, 165.5390818792159, 165.81500854095313, 165.9644381553409, 166.1812522651968, 166.88984362441587, 167.58160147319043, 168.90121087667481, 170.0701253587828, 171.50878353408459, 172.68797882246017, 173.08707774102538, 173.47165456152402, 174.88353322720127, 175.85555151288543, 176.88676319337551, 177.82594528402976, 178.80498095492973, 179.54979261474955, 180.34068707082747, 182.18217104786257, 182.2226022720192, 182.28487985492424, 185.19408591760006, 186.81930973237476, 186.84184653722559, 186.88984420043701, 187.51614220265083, 187.60139524636949, 187.67782642431897, 190.89286582185747, 192.90672682514261, 193.11831748160833, 193.17625890338343, 193.9209447871537, 195.14421617000679, 195.20700149227778, 195.81643403269209, 196.20600236985894, 197.49157122557989, 198.22430768764502, 198.61353857432775, 198.91020832944952, 200.70039581228914, 203.17971808067807, 204.9145458593872, 205.8906780291143, 206.91209092201692, 208.61050081313306, 209.37278114562864, 210.60005894378435, 213.1637007854801, 214.02164005359319, 214.21803271022927, 214.40553143558898, 214.86064065562442, 215.20835866360321, 217.46289690623095, 217.79018951650957, 217.90687504524919, 220.18618118293742, 220.88278463557, 221.376237597413, 223.98251705704644, 224.97020612408471, 225.46518033914992, 226.04227075892612, 226.14337784469194, 227.2751823225496, 227.42347497283353, 228.05639654425627, 231.12157141652958, 231.80426688481779, 232.49199065205377, 233.07181467725505, 233.59643683122243, 234.943219033817, 235.31729681448871, 237.36513496353066, 238.78070082623847, 239.79360349010403, 241.62970771833346, 242.83696894040295, 242.92549144916072, 243.11353461902206, 244.6207054005335, 245.59795194181913, 246.25522856188798, 247.46734550593976, 247.98781743939665, 248.91948946382624, 249.34474256503853, 252.22649087560291, 252.4912480872139, 255.29603106664783, 256.75289351901489, 256.83099882057473, 257.19611871187993, 257.58664975332749, 257.811133678543, 258.22290040768854, 258.3571072505473, 258.77324931361488, 259.91307965450403, 261.26713003139622, 261.34245281194143, 261.36595902173525, 262.03900541128644, 263.59981838111014, 263.94165852896111, 264.38005248949247, 267.17540945109988, 268.34961618537238, 269.24893125739163, 270.04425596624384, 270.70099639948711, 272.14681616408609, 273.27971118305885, 273.63923999993426, 274.19107052298591, 274.47453607618877, 275.71660096069644, 276.81011177662992, 277.14693026162604, 279.88625873199283, 280.72158014044339, 280.74506438193885, 281.78380294701714, 282.88935612807251, 283.47526985528981, 283.66569862207166, 284.08246492204933, 286.19469399453556, 286.33981211592447, 288.81650218049401, 289.55657799130535, 289.94075382180262, 292.51665599233417, 293.2466706186832, 294.46320727866407, 295.3590078861456, 295.38756482035876, 298.31881278904279, 298.61052889352646, 298.65783031191194, 299.30652285624416, 301.21230052080716, 302.29744276222146, 302.56387028437206, 303.36533153837416, 304.29049878719337, 304.61780841254978, 305.13880538203136, 308.35940989432112, 308.44371728746609, 308.55475401997273, 308.63882764317731, 309.35829667293905, 310.08149885263344, 310.22505775783912, 312.12655005423954, 312.18317172412861, 313.31377165642203, 313.87179538999192, 314.50068066330653, 314.83341366185937, 315.27879696071824, 315.44451904774138, 315.77622485278528, 316.3696178552413, 316.79401310984088, 316.87912633403664, 317.8032896318004, 317.94828748843724, 321.46751064259877, 323.28210874695628, 324.99769305323662, 327.21200895492888, 327.36309487797467, 328.7045617035692, 329.55777233578345, 329.64348267290978, 329.95839539475992, 330.27852421979037, 332.21165896174608, 333.07504447442329, 333.67516131674586, 333.77956261973611, 334.03764570692977, 334.06837740543239, 335.27933681079406, 335.86383185149299, 337.85861615557536, 339.5750136519402, 340.43089411572953, 344.72436893638923, 349.93226840692409, 354.643762007813, 355.26809813352003, 355.29741529160867, 356.93847532264124, 357.11521645758779, 357.88897608208407, 360.08074513333941, 361.70335396951589, 362.69244943053582, 364.90351748175999, 365.38772270421572, 366.15502071556375, 367.11273454859042, 367.34113984723723, 367.76845775823728, 369.92148304875326, 370.45243573217499, 371.21128006370407, 371.2668418518586, 371.31962083480363, 373.80124356056768, 374.13282320454971, 376.63463293558897, 377.05691610048848, 377.58270806310861, 377.81568216996851, 379.04133152025918, 380.32065002170464, 381.22969596909957, 382.11797844148327, 383.03471190337831, 385.02616642731584, 387.74905141733751, 388.21598691860919, 388.27343781129684, 388.50664570558973, 389.16930100990788, 391.11736511557677, 391.69270897086443, 391.89474899675037, 392.82847069891409, 392.96384654437622, 393.79731459113776, 393.89809917289, 394.82395241571976, 397.03139294551249, 397.51286813669475, 401.49822643705204, 404.50329912734747, 404.70954682510126, 405.44908776505378, 406.27521317944144, 407.13820225537637, 408.08153324130353, 408.67767441009397, 408.75194613399964, 408.82672133395562, 409.627098790807, 410.04899439246225, 410.93769527333302, 411.21724526327148, 412.26059554610606, 412.94578893145399, 413.51971411779317, 413.75203481124282, 414.28459176223555, 415.45022044999945, 416.2391046304266, 417.15060276616958, 417.72574743267268, 418.45764366498696, 419.57731254452005, 424.45178138241124, 424.5138700002999, 425.92846634926144, 426.7490582738414, 427.09702365101731, 427.76533221250884, 430.79203061994326, 431.99510803414836, 432.68425226712463, 433.28603524878588, 433.3460613188409, 434.83678603944122, 435.77504868087374, 436.5283001653155, 436.9147907417057, 438.64137553031765, 439.16316394294671, 439.38281752583038, 439.70356114270112, 439.76488413732636, 439.91814856930921, 440.38958339868162, 441.45099915073695, 442.38818879115792, 443.03999205573098, 443.72295585334837, 444.34716208867997, 445.90412674513902, 448.99459824968756, 449.04863160201694, 449.33338362559562, 453.63257375602882, 454.48317136523525, 454.88529346266819, 455.74025763279974, 455.86757273128529, 456.41915789306483, 456.90298879611032, 458.96912294935277, 463.71683604890569, 465.12342467804024, 468.00859566533802, 468.87254005554206, 470.09703422551758, 474.13954138483172, 474.62003776408119, 476.7516645895235, 478.45707431687833, 479.4218130198463, 479.47841318928062, 481.22288947051874, 482.35547398388445, 482.54183582564582, 483.06427867261874, 483.8556050846226, 484.19719210615676, 484.70911298786956, 485.38068767953439, 488.03494604904728, 489.78918520953096, 491.28367119513194, 491.33846661293961, 491.61899249849154, 491.91635911335106, 496.19939664715906, 496.35602312863307, 496.85630434367164, 497.82967733136826, 498.4152621398112, 498.580217386225, 501.61096488960158, 502.27480256169684, 504.72945395174366, 505.07342470546376, 507.29165014990588, 507.95153245560073, 509.84250337415233, 509.99718174251626, 510.05438522529431, 511.31688701879551, 511.75585621633059, 512.97478250853021, 513.08849524220489, 513.85011837422144, 514.54151418788331, 520.42848565204599, 522.64114158794632, 523.28241863228834, 525.06448898133135, 525.4967722483284, 527.36292372314688, 533.6482566196787, 535.88731845295581, 538.63701670830733, 542.12231014635063, 542.47131018255072, 542.90953007295809, 543.5882638224482, 546.36177839861216, 547.87206264187046, 549.04336654497422, 550.49946267730343, 551.22665319738473, 552.78623479272778, 552.85375674808711, 553.9571796038598, 555.50820808227911, 557.62549995006714, 557.74013792293306, 558.5878332366201, 560.03819344799763, 560.17557720609375, 560.34706062674786, 560.67337376895387, 561.65928322478555, 562.06345018726404, 563.86916538679498, 563.95444233091712, 565.4495093118951, 565.47164817684211, 566.1778837851806, 566.7501418171521, 566.82722484546161, 567.23472663291636, 567.269763544027, 569.1783242756029, 569.55946384003107, 569.86697774180152, 570.41005727913375, 571.08178014020007, 571.19532132272377, 572.11491126471481, 573.3314406718348, 574.50509347771106, 574.68964860939434, 574.90707213099336, 574.95625855142293, 575.96169614041332, 576.34009268036516, 576.49982111465863, 577.07236931492514, 577.18632674519495, 577.46546163703397, 577.8055696202033, 577.88545481740766, 578.21380927055304, 578.82358638587482, 579.95985860602923, 580.73023637497113, 581.4593145917928, 581.81547861638808, 582.90167468296795, 583.01045389470005, 584.36707510610199, 585.38915024745893, 585.85047097113295, 587.98162154020747, 588.82588498072823, 588.85766306192124, 588.93661129876648, 589.23070542002722, 589.71343440388546, 590.50443788956022, 590.54981976154625, 591.30289131359211, 591.90426241441594, 593.99642705234101, 595.46139095615479, 597.7022769262627, 597.75827107540101, 598.07984934482124, 598.23061888614245, 598.29537495770057, 599.10078450296646, 599.285406908239, 599.68049377591217, 600.67332001833245, 601.04142769818088, 601.17432301128702, 603.21737956282016, 604.53951668943557, 608.6390625584911, 608.94212249379598, 609.03769439561904, 612.00205763355973, 612.38162771457246, 615.34619855759172, 618.77386468725058, 618.86453540589616, 620.96706232309566, 622.46834684074906, 622.57774787654284, 624.32482531768289, 625.26340175041628, 625.51209863562826, 626.83056300373164, 627.26452631402515, 627.37426746778567, 627.80956342238369, 627.91931911504787, 628.64669499432534, 628.9130641450671, 630.44929249015104, 631.38182653183583, 632.20582765784843, 634.38960794323043, 634.95060466015809, 635.19051952336997, 636.06423003473833, 637.88506796043043, 639.82638419564728, 640.72108753075611, 642.06537046384585, 643.09475044965791, 643.82615568019048, 644.22784857208865, 645.49795976024961, 645.72122135749999, 647.63930995309147, 649.59556273039811, 649.72765222950989, 650.28443101070218, 650.3707921704339, 651.08759529957024, 652.33403818154363, 652.49871209471701, 652.77324109690244, 657.05196726784493, 659.82793229660706, 660.5803005863919, 660.98105201123019, 664.80551540307658, 666.14943970412924, 666.97846242774665, 667.555116969864, 667.58620962608609, 668.36336359561403, 668.99332741997625, 670.20499265222998, 673.30669647141485, 673.54290006603048, 675.88858341470734, 676.13955230059867, 677.41389346083884, 679.00590200198963, 682.08663154612532, 684.28205547610605, 687.97274680790963, 688.16053094245615, 689.95514551394251, 691.19430694686503, 691.88365608589038, 692.68769599929703, 692.95012433380282, 693.85827959617473, 693.88100126006839, 694.15413985476357, 696.65220715016881, 697.88217526009396, 699.27194549707133, 700.37891758633873, 703.03570277523806, 703.64369547799481, 704.68547088040566, 705.75579348337817, 708.78248056807615, 709.1438715943184, 710.06625557248549, 710.3583743964233, 711.53869225937956, 713.05384414795469, 714.14665891603977, 714.54404329349165, 714.64429507920772, 714.87420607077024, 715.19957186129784, 715.39935664116308, 717.57806527114974, 718.112689281077, 718.5671508733102, 719.74563984941244, 720.66101403529501, 723.35648942815374, 724.03920533685516, 724.6955456167633, 724.93071669898893, 726.25307354070515, 727.2072440103143, 729.26866558549432, 729.96566291008185, 731.81470336170719, 732.76337477698792, 733.77512119335142, 734.37513550159554, 735.64684581066774, 737.15031626240443, 738.1271254661109, 738.97278923319095, 739.33837621203884, 740.0696018198056, 741.30971942248334, 742.04303871609011, 743.13233682203668, 743.55031104944771, 743.61788571490956, 745.20420536197025, 745.33121847591485, 747.5018402762646, 747.65405644037719, 747.73262210366283, 748.14135041669545, 748.20774760327106, 748.90124839771693, 750.23000384559498, 750.9307605111768, 751.35547017533804, 752.24455871250882, 754.59742020886199, 754.94468173154303, 755.36314610187912, 755.41588774870013, 757.31805931868121, 759.56115354968176, 761.52680653613845, 761.58318688041641, 763.87651155551021, 764.10814172237167, 764.65040323129858, 765.18507756200256, 765.44142822846902, 768.57570738159154, 769.66243313507175, 770.03154951971408, 772.33812127890121, 772.78986617040596, 774.99412353141497, 775.33247830438154, 778.03096394344811, 780.2896841850237, 780.52542788884375, 781.64693548988305, 781.69094237769491, 781.91064476216593, 782.97228980436842, 784.54361919845815, 785.92303633040433, 786.61525425999037, 787.0143195225786, 787.08757284367698, 787.79379298373408, 788.38751505673906, 788.91677877013126, 788.9634068406956, 789.16722985144793, 789.72850648054987, 789.98551232152215, 790.01168834040823, 790.35183568977425, 790.52667919253804, 793.83863294577623, 794.49270017145955, 794.60057539787624, 797.12442895451954, 798.40505702469363, 798.87905758847046, 799.48011419919499, 800.26558207805738, 801.7583799367161, 801.87956570185236, 805.23571696536533, 805.77710487340437, 805.95496433930145, 806.14540980858374, 807.94408084985912, 809.77455258039345, 811.83425118128991, 812.32530136015691, 816.92634804723787, 816.98480271441326, 818.27565682969077, 819.85628990853741, 820.31275536638839, 821.17631613339836, 823.9216668538013, 824.83571879811598, 826.2116479302299, 826.48675325424347, 829.43658711015996, 829.91066677251047, 832.19845060110492, 833.24767199390931, 833.55273285023873, 833.59730250161431, 834.72743511727526, 838.15741724762063, 838.86578176278363, 841.48417199884409, 841.78867799950001, 842.76828381980943, 844.83621993110694, 844.9549734204578, 846.11449074846257, 846.77912182591047, 846.96832054580671, 847.13287160590232, 847.35216035327801, 849.40458099138868, 849.44978378685585, 849.9416802836032, 850.45522368855643, 851.09735632046363, 852.45654189778327, 852.57728931642578, 852.76875789051417, 853.80502729600016, 854.09302843933256, 855.00230236587481, 858.73023772553051, 858.85043923433409, 864.05947097915941, 864.261857925443, 866.76195256005758, 867.06992241535238, 870.24475037219077, 872.24542285233565, 873.32993106380457, 873.54253153502736, 873.61373626055035, 873.98741630063853, 874.43789686361606, 875.67373579743889, 876.29448103468485, 879.02438555201741, 879.7265401529877, 884.05574258418903, 884.31776264555856, 885.31721920796554, 885.89593166858083, 886.1300478053023, 886.26762050213233, 886.44784055279024, 886.76902792964927, 888.63908540165289, 890.04982718414408, 890.45900527987556, 890.89041299428675, 891.66696290759216, 893.51891059497336, 893.66294661777704, 894.79879565686838, 895.24577013920202, 895.80814229629334, 896.71621075501878, 899.41733532720218, 899.68738025768755, 905.32538552963263, 907.50596405416491, 908.16494159408353, 908.40522345623526, 908.71397068312342, 908.78296835678418, 908.9577392689954, 909.1057734955981, 910.05380555309569, 910.33275610349199, 910.5334591874755, 910.87838783980726, 911.37279820546746, 911.48396425654278, 911.78300034143899, 914.1156657742888, 914.4167547669141, 916.78653152863251, 921.64805921965387, 921.74141034610761, 923.13902554205185, 925.09049596262275, 927.49226208408254, 928.62407185579855, 930.29062792158265, 931.49146623926481, 932.11672310166989, 933.27522718687408, 934.83841587591019, 935.14163241823655, 939.74043462453301, 940.40801718804062, 940.55061943312649, 940.70107386924917, 942.6171857095751, 943.44473467509272, 944.58804857396512, 945.2047059342874, 945.58865894349981, 948.01148913800262, 949.54196786191756, 951.98935980090005, 953.57101222954213, 953.74060818564794, 955.03566557790555, 956.34483557569615, 957.74025323576598, 958.03327115488082, 959.04915774176402, 959.66000403190731, 961.29138423142854, 961.86369375947197, 963.40668433952544, 963.57181537950839, 964.38171332165189, 964.43205414381566, 964.73300374273219, 965.92853489017477, 966.17614108177941, 966.28003187140007, 966.873269500574, 968.45434309330972, 968.70109298430134, 969.58348148351695, 970.10611261096665, 971.14346025783391, 972.07431460458747, 972.48858289361817, 972.76482708841263, 975.37118307919332, 975.53016244076014, 977.69960769914951, 978.07919206184044, 978.11191386401697, 978.6068562834904, 979.44934775736897, 979.98721260671198, 980.60953726709351, 980.65503992631784, 980.84166524796069, 981.01537559691133, 981.20671966398584, 981.27954535304798, 982.23686514529834, 982.70315390229086, 984.47480799095865, 987.47171222403188, 987.77410178772641, 988.98062681395254, 989.79442640036552, 990.07627564253744, 990.28843901914661, 990.6361873312062, 991.15375342060213, 991.26020619251619, 991.77648493956497, 991.79705252129588, 992.18513778056024, 992.44062311613914, 992.78289312989546, 994.00673376126281, 994.61454415509309, 996.29588758482578, 997.15190447220289, 998.94185258815673, 999.83764096001312, 1000.515248098733]),array([87.606029283486848, 87.910314025868658, 89.242325878162902, 89.467926360062123, 89.995754658566412, 90.672566316656457, 90.710619403421347, 91.558282762826622, 91.599638582945019, 92.89771048421396, 93.960200905281098, 96.117667904681255, 97.382185981933858, 97.596237908491986, 97.758477580854944, 98.166502443712346, 98.875371642997308, 99.10214055130551, 99.418599188939993, 101.32028134483258, 101.41863070186544, 101.45904695319346, 101.82502701555721, 102.72452551227191, 103.05429353256682, 103.46526111982845, 103.88444998413534, 105.8437686928156, 106.16909400193818, 108.81959053678433, 110.17046390365736, 111.3031012194987, 113.5153861341058, 116.87880213345072, 117.57622398490551, 118.50726384265676, 121.65499782592356, 122.83845683159592, 124.24501105631614, 126.88377165213646, 131.3104537548831, 133.0531856517652, 133.27815864372891, 134.8643214516033, 135.47767411746608, 136.25778221608499, 136.48955344357705, 137.1251390813122, 137.44079324269376, 139.35996560527425, 140.94278023436382, 142.07471289548948, 142.91249476924713, 143.0004146326373, 146.10761466138067, 147.85903622440836, 148.30975831489442, 149.45674112499705, 149.59983941503438, 152.66725760274295, 153.9356151718012, 156.03856748390089, 156.21294093920724, 156.24577283188654, 157.22048709987916, 158.94032091406169, 159.02326092535802, 160.56717150075701, 160.76525655674806, 161.18505216192733, 164.44975258341239, 164.83997644929929, 165.29118782832836, 166.14913074189641, 166.25639920784118, 170.2741636060567, 172.80408328776295, 172.8562278836377, 173.62910453566042, 173.75070958362272, 174.02175047073942, 174.51321357883097, 177.63200470460905, 178.46755669169858, 179.42883204168726, 180.26341325020019, 180.57836529440257, 181.47815859571605, 184.51207352884467, 187.28352483568631, 187.30467265530632, 187.36538714555704, 187.81867537535948, 188.11990542955647, 188.28132727460428, 188.62599233731143, 188.71487646252908, 188.8129541559841, 190.92424901293472, 191.83361472343171, 193.03613021511455, 193.25311457784761, 194.89947236132642, 197.40165394500215, 197.57901963515445, 198.88009480519108, 199.58235939803447, 201.46474257949413, 202.52356739151546, 203.2830332199832, 206.26563598854219, 206.38626736632713, 208.54451927270742, 208.64280791687469, 210.60927142352509, 214.93437108201331, 215.03452659998516, 215.16269258301097, 215.18980041589964, 216.71204499237359, 219.27296270113246, 220.35983194684476, 221.80951560140377, 222.20894789978675, 222.69838454824495, 222.76511063270783, 225.36608630115092, 226.40412960737638, 226.89936509951531, 227.49367016827782, 228.33388887792927, 228.44190180360701, 231.93975749443308, 232.29619594518934, 232.78381405335108, 234.54017601035287, 237.52776683386611, 238.63165984992747, 239.11515172385134, 239.59325921205573, 240.75815817535633, 241.05660022771028, 244.05629508967837, 245.16857598474388, 249.23059012797398, 249.64916708757224, 249.9990010099807, 250.33403831328243, 251.53378700715876, 251.58963741827017, 251.85362982049205, 252.31821530202001, 254.49335694145893, 256.58299356572797, 256.87521876003376, 257.49006913194989, 260.20488713897754, 261.27178032301418, 261.72063323316064, 268.16242451762167, 268.38150931684385, 268.52699297564919, 269.2632778349647, 269.33445392829611, 269.45555879868425, 273.07507637882094, 275.54057316245655, 276.52244934152105, 277.6274648675606, 277.89653662954942, 278.0131515592492, 280.33867276776687, 285.70552303665539, 286.72770836499853, 287.48922005809879, 287.55033984725208, 287.64759258691726, 287.75858131309656, 290.25994109532417, 291.77059058070211, 291.88322618207928, 292.48862311812508, 292.52215069350325, 293.03378016328736, 293.0612537885674, 293.30592520314775, 293.51736781904663, 294.33704065151409, 295.5226181796732, 296.09211930091453, 298.17824469094722, 300.08848610297497, 301.07908445214866, 301.16934502681852, 302.15848944465245, 304.11684725166225, 304.7275124816847, 305.61492894352386, 306.04884815527708, 307.01072881419594, 307.2246143382842, 307.3672721148813, 307.85728493773138, 309.51390839991171, 310.23055989833176, 310.61958012993841, 310.88330907143569, 311.65106053721104, 314.43549842459277, 315.24924535794884, 315.56899264885664, 316.01154512674464, 316.57074628700911, 318.4818334255487, 321.58849441002474, 321.91502618315707, 322.1113053158615, 323.27167055367505, 324.2703027541566, 327.73090141878862, 328.26783727844821, 328.86655001859407, 329.39822025559135, 330.74354528168493, 331.4974573107628, 332.63816116210376, 334.06253344749297, 335.93929256897377, 336.43296525402815, 337.19294252978113, 337.26953557994113, 337.52127627094762, 339.2317588586784, 339.26328240000748, 342.14414936216207, 343.07910269624551, 343.2334343987315, 346.82154378600626, 346.8474911772966, 348.60991977396287, 349.50756472713311, 350.65631345475958, 350.77444943778642, 350.9874699263795, 353.03726546700608, 353.73168353284024, 354.62143550182765, 355.01962286819185, 355.60202710128112, 356.75879084767479, 357.24575948538723, 364.69392698935656, 365.16956971115411, 365.3630736445084, 365.66090472505374, 366.32069044529061, 366.39853548599194, 366.63868487440527, 366.96782171889032, 367.61553716306958, 368.24197223536356, 368.56507647468408, 369.07101583822106, 369.35225855957697, 374.66647208301328, 376.73566307296579, 378.31920124181255, 378.61843198839597, 381.66190726872378, 382.10269190477584, 382.3241018932261, 382.61416109873898, 383.67020268078602, 384.55835340233489, 384.62447011642121, 384.96151823672278, 385.444874833369, 386.37666405326246, 388.29697597302686, 388.45933710831616, 388.54558735182769, 389.18199869722463, 392.09247229301485, 392.53294515102363, 392.61161710667437, 393.6215052506729, 394.13833241695812, 395.67105183637216, 398.16787227735966, 400.38920528956231, 400.93740673129247, 401.09752169666262, 402.12251159712531, 402.15024852525067, 402.32101285300234, 403.24075042160206, 404.26917814177972, 404.50857543836838, 405.06269281198968, 405.73983228819998, 408.09298299086589, 408.15589229890634, 410.83471673405137, 411.40866301328475, 411.85581550164557, 412.68044877558157, 412.89283530527831, 413.09498055565217, 413.93723267509233, 414.52081888339825, 415.62098381991399, 416.57979193299354, 417.66081866888106, 418.35352799268361, 418.63631651639531, 419.07578680291886, 419.53547802577134, 421.17049163558687, 422.28899825571062, 422.41557568269889, 424.12228828022558, 424.69193591655096, 425.52674765190687, 426.71757386564394, 428.17765871365509, 428.22053913681418, 428.81757572360704, 429.25918777331657, 430.32730020298487, 430.63511640064905, 431.84169401793542, 432.34100573939565, 432.4100105101781, 434.43757151769165, 436.07844455530886, 436.12871925302483, 438.53111318309703, 439.98748849610291, 441.85152161256843, 442.10515552589982, 442.35972999091138, 445.71880049429973, 447.10036153056853, 447.48306576979695, 447.79685680537955, 448.82592704066695, 449.15174158084943, 451.09710452603008, 451.59514915912547, 451.79941740538072, 452.8352945938538, 452.98084366629496, 453.84795237876153, 454.24795104559985, 454.5732959320261, 455.84484793679513, 459.64566708798333, 462.38647247708968, 465.08062626767708, 466.34543148510858, 466.49265297884813, 466.61425918056574, 467.01005092287312, 467.45941206394508, 467.6077139489621, 467.78322356557703, 469.51429456724742, 469.54031097403066, 469.81753151211836, 471.79804963368099, 472.93826710941181, 473.2177955804072, 474.97120347526601, 476.05622322027006, 476.25354940634304, 477.55336716335449, 477.67145110235793, 479.60970572141446, 480.06398882504442, 480.10093781157036, 480.91779215542732, 481.74445974708732, 481.92636991662448, 482.41805151541399, 482.63013054293435, 482.68650633085633, 486.30113536084855, 486.73962543219437, 488.70487178494488, 489.62448348566636, 492.63503181418656, 493.7071617471729, 494.4376651809917, 496.05889360962988, 497.70265189605868, 499.8577766094682, 501.33297186218124, 501.9065234774032, 501.99753794526799, 502.49845378676287, 505.15635614647971, 505.52412322135217, 506.82683238540261, 507.44518944742032, 507.66220273935693, 507.7481552706414, 510.97884517237475, 514.45935196147354, 514.49205569635069, 515.94764350550577, 517.57095187008599, 518.24093945046081, 518.43756796149387, 520.69305817204565, 521.46780317483808, 522.05003474641148, 522.72462903145413, 523.09302423139923, 523.92682328261537, 524.23067634330823, 524.28736952359031, 524.33478960818456, 525.13868006917198, 525.20762421980658, 525.56497540178043, 526.16512455126644, 526.63135804467333, 526.8768111370556, 527.69735717593414, 528.17694829472873, 529.46257699671173, 529.73481255063098, 531.31620248768445, 533.16036022185619, 534.29881717881449, 534.33423717760184, 534.81936542346409, 536.20320881785949, 536.6995756762077, 537.70449870120444, 539.27977681050129, 539.75808156042376, 539.8134979153931, 540.64263033676025, 541.01310771575709, 543.13560907839417, 543.67926650630443, 545.1674675222572, 545.24117494458744, 545.56415558193282, 547.14253733285784, 549.03657075483125, 549.27970200728566, 551.00005130531451, 551.02621734792785, 552.80775934039286, 553.49931802317883, 554.33671721834708, 554.65270890581394, 555.39311115478313, 556.79249625001557, 558.50626357530621, 559.04343389783196, 560.76116219145638, 561.9206619912203, 562.1818585424711, 563.13594364673258, 563.88150170404776, 564.29654014938751, 564.39094649910191, 564.57158729834657, 564.61025165605099, 564.95685348575307, 565.32398954824782, 566.26091405945351, 566.61602729016704, 568.58017775409655, 569.59842615390721, 570.08253518910101, 572.45078875258434, 572.63352658274687, 574.71515675714124, 575.49440934696827, 576.37941217232549, 577.44509614438834, 577.82736212654356, 579.3692121018471, 581.58643629857966, 583.91292606307002, 584.48118442933719, 585.02763573926711, 586.52889912386024, 586.7155373202196, 587.40066567327176, 587.88582431843395, 588.95525986910002, 590.82562846972496, 591.15663733786448, 591.39505988288522, 592.19055219156951, 594.48245457520159, 594.71429834852836, 595.04764466636959, 596.76267119046327, 598.3162223961433, 598.83418396391392, 601.66779647183739, 604.72714108154378, 605.15073706446231, 605.57986661725761, 606.33872033853754, 609.2100622255623, 609.90256604205808, 609.97539084830612, 610.21657129915729, 610.60810206357542, 611.16233609239418, 611.9625184343713, 612.49182128633322, 613.42469370996446, 614.91706823222512, 615.32079751274614, 615.66607617815203, 615.88009481252061, 617.09599279349186, 617.4948805700775, 617.79639904136241, 618.11821244375744, 618.54260445866953, 618.79253449243527, 619.20966658652708, 619.54657227893051, 621.38866776129794, 623.67427643410372, 623.97883304323261, 624.89889548253825, 625.34712179432574, 625.4388779251874, 626.11723076144847, 630.90742957583234, 632.26860796456049, 634.8268240228532, 636.06045930778157, 637.1109450107291, 637.20193051335286, 639.22879758985425, 640.04305507303968, 641.10592485975349, 641.27985894354549, 641.45583199241105, 641.54036686638256, 641.56867581271752, 644.11504438674024, 644.17335589920492, 645.1058278950361, 645.15089631494345, 645.95496196210354, 646.66325463383828, 647.92233882256323, 648.56534211645601, 649.36383002244304, 651.04013626496203, 651.88554202450825, 653.94443988138926, 655.6242084999418, 657.05567030099053, 657.69026508618879, 658.55649446882626, 659.19017555828054, 660.20126318411758, 664.56257380672628, 668.59456465998915, 669.54230771555774, 669.80519346204915, 670.00654530934617, 670.24738234618553, 671.01883641938025, 671.4690939768625, 671.82619304015418, 672.53559711523815, 673.17771233040628, 673.2304785220947, 676.66311034205569, 678.08840882106733, 678.14644575781108, 679.40630253503582, 679.74810837738437, 684.97436462327505, 686.6619920724163, 687.28479670781508, 688.58751340612685, 690.08693170932418, 690.5020155275962, 690.65327395956206, 691.43192849969114, 692.94739272277889, 693.02709181384455, 693.22610922951367, 694.70585938528575, 694.89353084550555, 695.12220215434797, 695.15372753775989, 695.93258034391249, 696.2776789797482, 697.40901001637542, 698.13393786164954, 698.42095197410833, 700.89602718870754, 701.13726854927006, 704.36249097416453, 704.69557074386285, 707.14285511424862, 707.51704617705491, 709.0712832181332, 709.18422021917138, 709.64038243511322, 710.42779177399962, 712.11892609978713, 712.77930831423885, 713.69191013356522, 713.84162192971473, 714.1768550112721, 714.23195054799862, 716.51123835850433, 717.22997020247294, 717.6763009412914, 718.80688447195848, 719.9017026267976, 720.07878933345353, 720.90108983958726, 720.96132902023237, 722.1940827689865, 723.03140455010441, 726.42505422889292, 726.69174670263669, 727.9238733131117, 728.39701279106987, 729.01064242681286, 729.94673610053928, 729.98594057643857, 732.75324389073535, 733.12887000535829, 733.31359152013147, 734.2304201040082, 735.3712479395291, 737.61087092033256, 738.05229639238701, 738.29301774441728, 738.81673482132385, 738.89855745214743, 739.04043508151892, 740.13691403315693, 740.48648627477155, 741.65265615789883, 742.05910163449676, 743.19584433067143, 743.36827928928597, 743.80595583596926, 744.63761269854751, 746.87117267249346, 747.10987214033912, 747.15725363906358, 747.2779478063436, 751.31714417438889, 751.62393501945007, 752.42234218120677, 752.65534554522787, 752.71589533376152, 755.40272009132207, 756.25895973834304, 756.54922176762636, 756.83719577690545, 757.29314331091496, 759.52004445277839, 760.20254115681405, 761.60297885130808, 763.43910472471669, 763.48915664286721, 765.42631039626838, 765.77545690809029, 765.84417650509135, 766.70785177137861, 767.52597659192372, 767.85026901069648, 767.96138997269009, 770.47179690353005, 772.16159554458534, 776.09082671726492, 779.05284332176848, 781.37579028504626, 781.77966806099346, 781.82173253698227, 782.05909118594616, 782.57669461950036, 785.15731440843683, 785.92770447509508, 787.41950014001941, 787.77415953065497, 787.97631837090489, 789.66055589225596, 789.83535062286876, 790.37366735831654, 792.58681619091931, 792.82720863882753, 793.07139851971817, 793.40472797351367, 793.70347554739703, 795.37510172271629, 796.43831338844836, 797.0810299800354, 797.54441388227792, 800.86020014214216, 800.88955453876542, 800.98478722215543, 801.21053425078719, 803.47399025335824, 804.05667750870441, 804.17733033949423, 804.24569769696859, 804.82860774373637, 805.59918722731925, 805.68762279866246, 806.01350798411931, 807.82551755661598, 809.29409092638389, 814.80430480716041, 816.06363109905021, 817.59350736965177, 818.35944272107918, 818.59727619448938, 819.77980360577146, 821.8634797414295, 823.21652233837847, 824.29743847710529, 826.59256699705304, 830.20063949021562, 830.36002623191519, 832.89708739626337, 833.59010712036843, 834.95286427868803, 835.0445005628211, 836.94060559803643, 841.28109040866332, 842.09135576686708, 842.18283159088946, 843.7296036531269, 844.92100022758814, 845.64882244295688, 845.6831176921097, 847.03240427852006, 847.66125997498045, 847.80849875964429, 849.21349667321931, 849.39257663980391, 851.18896314955884, 851.75951887315091, 853.51749241677612, 854.6140181302751, 855.25572350022765, 857.06432841193543, 857.51750738580711, 858.4234790436019, 860.25852598779215, 861.34810281519276, 862.63026512528882, 862.90188013015495, 864.97656841301989, 869.54981076512342, 871.65539136392238, 872.12899982141823, 873.20225534448912, 873.60129480348689, 875.08633084305404, 875.87139786132661, 876.97073506891809, 877.61122258217142, 877.91186614740695, 879.15460170212168, 879.20623975428373, 879.58678765855598, 880.20143535363991, 882.55008685632959, 883.08313856226005, 884.59770830028287, 885.18067175221165, 886.40272589948336, 887.01607737909626, 887.10644872989246, 888.17696071935177, 888.58503585026665, 890.44408736898333, 891.34724224359957, 891.66453146019012, 892.71717346140713, 893.56605938934899, 894.58688467550996, 897.07803182839393, 900.1124043907223, 900.32253391239647, 901.58290586476164, 901.83390981218577, 903.12706778183542, 903.9092167874386, 904.52186935522093, 904.93610938783422, 905.19738891524264, 905.37099010801762, 906.03138578448136, 906.75585587951696, 908.50430284904473, 911.17417081023893, 912.99390891488531, 913.12047872567746, 913.32059194609883, 913.66079778837445, 914.02477596436745, 914.48483364608057, 916.55171145949043, 917.10306573260539, 917.72993302337989, 919.88397174464058, 921.62618854905725, 922.86700322123386, 923.26385547435609, 924.68567907059128, 928.22494493578927, 928.67027056479048, 929.40230599968083, 930.77103012190571, 930.82904852557635, 932.00078609632885, 932.29171577154978, 934.2540686499932, 935.26063128412693, 936.03801876124419, 937.24350015337416, 937.66566211735915, 937.94305585091115, 938.25032795744869, 938.61514401336012, 939.51636232381668, 940.34381587099153, 940.54291759363025, 940.82929371603575, 941.05775322580769, 941.99118423440927, 942.69184200875645, 944.70150174228183, 944.99888243051566, 947.00481440686576, 947.92408821981905, 948.05292524180197, 948.56762981459735, 950.95741778627996, 954.33434211310055, 954.44502122210338, 955.1341915230272, 955.36581389400772, 955.97219500555559, 956.42947156426999, 958.74273006979729, 959.11334665331196, 960.23092938448713, 961.67872973416593, 961.74177103133127, 962.43969059226629, 964.3092101048212, 967.65486184367023, 967.76412917837638, 967.9875920034217, 969.19588350807783, 970.83524299762962, 970.96955202802144, 971.34001855985844, 971.41874075983526, 971.68743562810937, 972.62470880642809, 972.66683469872953, 973.50082566261187, 974.72153048211362, 974.7488351869489, 976.53708610259218, 976.78357540467528, 976.87375252153822, 977.12707737459436, 978.17218440230215, 978.58190155628392, 980.68092831868751, 981.65737823698203, 981.97698718664128, 985.88022310626832, 989.82132459804996, 990.36744256978955, 990.39931644915407, 991.46822127213738, 996.10232376991371, 996.83421704226987, 997.38079182423689, 997.43480035984567, 998.00705263571763, 999.01369825740107, 999.75335044576252, 1001.6134085577838]),array([69.362351992720761, 72.048819679907481, 72.68774215137735, 73.455146491266248, 73.887124515453507, 75.716909239872834, 75.848177834508689, 76.24036203289009, 77.454021645417058, 80.490950118664699, 80.913135483581783, 82.050342794186264, 82.081299000547688, 84.029895801115444, 84.338163527900264, 86.38049638983621, 87.061067993654689, 88.065338707534025, 88.515737564148594, 88.619449020768997, 89.692854057214547, 90.226880465951638, 90.638087189768257, 93.483257234938719, 96.674404797164215, 97.264616063658423, 97.615849208764359, 99.741628120216774, 100.22844657053837, 101.14876325125775, 102.33572803885228, 104.63133972735527, 105.17776039923416, 105.54306155845073, 106.61395636397613, 106.65045456517807, 107.32507361978585, 108.37588442036459, 109.14867867894642, 111.02992047967439, 112.46194318780049, 112.81257998475813, 113.63959081601577, 114.24783084224006, 115.44817859914698, 115.95706150241445, 116.82345874778952, 117.38994911752484, 118.86221065844234, 123.08417981432001, 123.80790234321968, 123.87309442510208, 124.50822570839753, 125.952189678526, 126.14911152072239, 126.73490576038056, 128.37544655626112, 129.85940819250411, 130.11387800198847, 131.78464553804196, 132.49645722987495, 133.05876256718585, 135.0186535051586, 135.44453531467417, 135.56561365889925, 135.90609733287741, 136.45947238329077, 136.55926145563348, 136.68648941317176, 138.31957519343203, 138.42914251821588, 139.78615408601647, 140.08087603784034, 140.59865783959347, 141.12935383076641, 142.01584051560079, 142.21091872033108, 143.29136619745265, 143.34538837106757, 143.37127307627597, 143.47887736017438, 143.64264837927229, 144.11073476506431, 144.41182781886005, 144.59296605903879, 145.4874300621552, 145.65371766792651, 147.52058237272857, 149.44910974816449, 149.51536574388018, 149.53933373779685, 149.81652316464536, 150.69094297193266, 150.95611934458907, 152.19468374655693, 152.52338812986869, 154.52645479513185, 156.38357505538968, 156.95973426726982, 158.17346716230355, 158.86194003475501, 159.15642085413586, 160.69269138358646, 161.26687886050428, 161.35752725322047, 161.49832369748552, 161.56341118803542, 162.14643973976945, 162.36917486481721, 163.02976174793474, 163.10914849240615, 167.26937090377749, 168.8009500741571, 173.75631901092842, 175.56014357528156, 176.79129817225405, 178.40848925637823, 178.66282244441419, 180.31012607041015, 180.46385189644093, 182.0285858961991, 182.83905095902804, 183.14889622166757, 184.52116986867372, 186.3464651098879, 186.68310258268394, 187.62209091593107, 187.74709687204489, 188.99479229881726, 190.15085232840229, 190.74332372428165, 192.06458897174684, 192.48048601379077, 194.5153416032183, 195.67174689421554, 195.79376449225919, 197.00295660539774, 197.77103813986798, 198.11421975360193, 201.40456445554457, 205.66912723343546, 206.96065359263469, 208.1415652393645, 208.94787485697989, 208.99707119421834, 209.46727135991941, 212.56121851553146, 212.61100956856041, 213.61194968454657, 213.94160539031753, 214.16823822990489, 215.26527554567187, 218.80895995189735, 222.19785887181487, 224.48552836817757, 225.37179003254826, 225.41816007494114, 226.56564628735086, 226.90965775536088, 227.00206277803133, 227.198932118481, 228.62717934478809, 228.79288259262003, 231.57117784315145, 232.05213399497404, 233.95446519256132, 234.34948720442173, 234.42744915872973, 234.90645355610101, 235.33187308705755, 235.5631766334939, 235.78183761140161, 238.11160727689054, 239.55363988149603, 239.90667603294347, 240.15514293754353, 241.9187612794272, 243.26216588150814, 246.35824096524732, 247.54023585451023, 247.78432807658487, 248.28482103722652, 248.54593302475166, 249.66858840527635, 250.32801408597413, 250.8248157968942, 251.58417440115795, 251.85087392291103, 253.59108766031369, 254.27854290368848, 255.08463120852747, 255.23379274831055, 255.62729789098279, 256.32306160568646, 256.95059562593877, 259.08222464088391, 260.65760354888761, 260.69085120371381, 261.96377829581041, 262.08214050253304, 262.36160686769597, 262.62046849075978, 262.92719060872724, 263.12451289870233, 264.64346966321261, 265.29289544923898, 265.54929068181929, 265.64936493577852, 266.64338949912639, 267.21698734848678, 267.62757827804404, 268.82608177860561, 268.91170757179071, 269.51360419150888, 269.64840849043634, 271.36799696525992, 272.19189150829305, 272.67284630493168, 274.7417940685325, 274.80588438170122, 276.65757029391068, 278.95215681936708, 279.26778515270786, 281.16780629844607, 281.28055531507306, 281.77871913243894, 281.94259647149727, 282.92214247683563, 283.69649233671231, 284.5046614134904, 284.92671569441802, 288.38026252418291, 288.55376287655463, 291.03260132365551, 291.90881494429942, 291.99917951270521, 292.41043974863862, 292.51953032726868, 294.7502119256186, 297.83101792123091, 297.98956956622476, 298.55221161992762, 300.65038064724763, 300.74046343295907, 302.04035440301863, 302.67180389650036, 305.39469219527132, 308.18357031836939, 308.75295386098861, 310.13664460892812, 310.25253839145091, 311.16737115711874, 311.39662484307371, 314.34186232099364, 314.7795742198843, 315.78793483697979, 316.10826130586662, 316.20152519726309, 316.70393050498717, 317.19936812481632, 317.31044231210149, 317.50291626202596, 318.21240275761943, 319.77123999129572, 320.05139296582701, 320.37842059651894, 320.819454954398, 320.94664993757613, 321.53172291601271, 322.63451660220903, 323.02183229327181, 323.53313907282291, 325.53261649177841, 325.9986679952259, 326.06324382239262, 326.62697137786773, 328.33752874855497, 328.82924379231952, 333.41973478981612, 333.50255200350347, 333.96440788226283, 334.10955192877213, 334.17730585346629, 335.54953675129707, 335.65693340351686, 335.70673552840145, 336.01047932406283, 337.69072066891374, 337.73197943661626, 338.33877083614078, 339.93246914873373, 340.52698157304093, 341.22340124316486, 341.30963242748288, 341.49974822677609, 342.06704290604421, 342.61241853834161, 343.97829351500968, 344.20845405120127, 344.2476385787229, 344.52348287122061, 344.85449287668166, 345.44929445458087, 345.46983507274695, 347.82287572638381, 349.96678749885353, 350.62379228065635, 352.62343112340659, 353.07487379546728, 354.26249612663997, 354.63604161308854, 357.57708344179042, 357.6519406163776, 360.26065865828269, 363.08011996549834, 364.59733058936939, 364.83003878542257, 366.64912287614408, 366.93614933333305, 368.99700639055072, 370.93274057248271, 370.97683292366412, 371.61564706592162, 376.05680970667129, 376.10325577280389, 376.84726564782903, 378.29298694160087, 380.44005088922398, 380.6924668967801, 381.17546319420961, 382.21273609300334, 382.95032444305173, 383.40337524875775, 385.16384719405067, 388.59410922866891, 389.12821596938562, 389.44729943887899, 391.10472901957667, 391.2378491935018, 391.53190372228426, 393.68043981597617, 394.25373878580371, 395.01709697051388, 396.52818232825928, 397.3969058617609, 399.79437098502223, 403.24016704680355, 404.18343036530518, 405.50527851978666, 405.99596808252176, 406.2212613980488, 407.00953715842849, 407.89481798164189, 408.12510730443375, 409.05291907825045, 409.77350134220353, 410.55265369375996, 411.39150391953586, 411.56361897401945, 411.92176314829919, 412.77590552807919, 414.039948623253, 415.08810057815748, 417.24834004609295, 418.13980837895321, 421.80128726028977, 422.21003639640924, 422.24453299108666, 422.34380917066727, 423.70121531378794, 425.63122154688631, 426.72359961725562, 429.36141057499668, 429.87550905462979, 430.44119892109779, 431.3422185515538, 431.89408021078367, 433.1393925373593, 433.61937031527185, 433.69225228025596, 433.9092519998722, 434.43435033265575, 434.49323541759219, 434.81168395410089, 435.38609899860262, 436.54579453887499, 437.72325784658193, 437.87761743273785, 438.35060939309483, 441.47951876699148, 442.60370307949017, 444.03679747681866, 444.81794236723033, 445.93920544382735, 446.94166662999055, 448.02260832051979, 448.77324092935299, 450.9587914848077, 451.00384704790685, 451.08288929504084, 451.10475135690211, 451.20691900054413, 451.97881242061646, 452.15338366950112, 452.7845158807724, 452.94662125169521, 454.98624434479041, 457.57977131153325, 457.80803630916182, 459.11257759908239, 460.90029801965136, 461.2048046673234, 463.25899770645429, 463.93272514665892, 465.10510043971965, 465.3875322048375, 467.33683244633966, 468.81520351737618, 469.57906621375457, 470.04159629823363, 471.33327823865341, 471.71319536174394, 474.24851639732651, 475.28126703177674, 475.56616157500713, 476.41077955099638, 476.50890394955491, 476.6197903574394, 477.29011301286994, 477.84903720671798, 478.364826426452, 479.75054980141942, 482.54698972435926, 485.5770422558611, 487.4281830936834, 489.8480029116588, 490.96915614234342, 491.23286006924985, 492.26356429319105, 492.8376540112904, 493.82629053084707, 494.5720750448362, 494.62950630752624, 494.66334020240026, 495.38025475498961, 497.41621957843211, 497.45582491761621, 498.63272777324602, 498.78874034803368, 498.94432217071295, 500.78663986485708, 501.01248504239317, 503.11270204206477, 505.48121356235015, 506.37536154979063, 509.89164747058953, 511.91773842025816, 512.86001162363141, 513.52153463102366, 514.05510607341898, 516.02125880721712, 516.15998778096923, 516.37089744677883, 517.63068503242528, 519.63480532574999, 520.16056184931972, 520.25428517128216, 520.86858992586758, 522.20595933489517, 522.32497293603046, 522.55588694672565, 522.59990281579167, 523.92452380431928, 529.44918783784863, 530.11329001115587, 531.86730571642818, 532.20211732885082, 532.93189750190436, 533.93571704260091, 536.83780480212249, 537.86718238963942, 538.76834199745986, 541.46272040760846, 543.18524268281089, 543.54740289505037, 544.92331573879278, 545.08839159381023, 545.66971000293722, 545.83096446867546, 545.99541133663968, 550.22894900741039, 550.57414177769454, 552.26516605892868, 554.77379031899727, 554.99689489479908, 555.68144803533539, 555.87587568816446, 558.67065001346975, 561.0118857514899, 561.42865239780906, 561.7789943599746, 563.12441137501582, 563.77090986502856, 564.14818795562621, 564.34305503779058, 565.21302967501026, 565.44572161806138, 565.7568951778436, 569.44414146423173, 570.43930573192392, 570.63553353076918, 570.77870326001005, 571.71895015911241, 572.43345551521884, 573.29623335852466, 573.42508176656793, 575.10587438785694, 575.33004050882471, 575.81906517544212, 575.8524450861247, 576.01334980233139, 576.80322274547132, 578.99925916076006, 579.89333213626128, 580.0913726272247, 580.45436167898947, 580.64889527557011, 581.77466353085219, 582.59107108792614, 583.56914207402849, 584.49445442312424, 584.65381081978967, 585.14710233593871, 586.19427451020215, 588.34625436691738, 588.41762549133352, 589.28151671082412, 589.86953163489579, 590.06827638536311, 591.48006259286547, 594.83046911745498, 595.22671422146186, 596.27765213987868, 598.49395243055801, 600.8885965926637, 601.6985590438984, 603.22595663186348, 604.56948995649896, 604.69139213666756, 604.8592366708516, 604.95963599529568, 606.28070430113564, 612.20968698833781, 612.74885641605658, 612.93643176373598, 614.07113936148141, 614.72520145178657, 614.94447788343132, 615.01112368655981, 618.42338119869851, 620.73564495877372, 621.37849963774829, 622.44199336502413, 623.69506088947435, 624.54444208961331, 626.29102523509312, 626.66697189846218, 627.10447301566171, 628.11430985098184, 628.7788612077893, 629.21241820775299, 631.22486588248978, 631.59552725891979, 633.28593144462945, 633.90076735744981, 634.5985805369495, 634.93241810303994, 635.81645992684651, 636.60858220525995, 637.32933442637216, 638.67555158806022, 638.86794241441396, 640.26474275135377, 641.1126322745364, 641.78117104838122, 641.88068335942796, 642.42490145321892, 643.64177018188889, 644.05255122127573, 644.21262437072778, 644.28439259947902, 644.97721123153872, 646.44497700275087, 646.85134633805933, 647.82884686965565, 647.90604689778968, 648.93757961785411, 650.22280511503709, 651.12057580994099, 651.78965169411276, 652.80773954562505, 653.52764947859134, 654.60578759065811, 659.86835180730361, 659.95747584815888, 660.03676877390149, 660.18502619826427, 661.46374612783393, 664.05945175208808, 665.73816177787455, 666.93619854572694, 670.62213502051725, 670.82426000918815, 673.77553443864156, 674.94319220286968, 675.50504716308239, 681.13440364575138, 681.37971113359288, 682.55286876141247, 684.48898943662016, 685.47081588280935, 686.83405985336594, 691.09989287738961, 691.61555675005081, 692.1332134598382, 694.13770504342938, 700.25198665071605, 700.57537696406621, 701.01992532910731, 701.56257912546278, 702.34023901714659, 703.95161360002521, 704.29940968928247, 704.91453049765062, 705.28847053350376, 708.28412172363801, 708.60515387216969, 711.64173926522278, 714.70800670693222, 714.97857309655751, 716.01199006675279, 716.62140203780746, 716.99153530840601, 717.78695153725141, 718.54740355469721, 718.65389158824223, 719.4041060487308, 720.29088949034076, 720.53495746452575, 720.68624649697927, 722.38812838835588, 725.36292757573392, 725.8263530762456, 726.7458528531331, 728.64278516544357, 730.34416663626064, 732.49337968299096, 733.12064569366089, 735.10598260055474, 735.81053684008873, 736.69761232582482, 738.03665222440645, 741.33132509644543, 743.49206049440238, 745.06956274705817, 746.88684033579261, 749.19205129777276, 749.22448440374819, 751.69690440364104, 751.71719046870919, 754.04168691769382, 754.84731108295455, 755.34406207177676, 756.74249100262477, 759.94621999370963, 760.43220827966661, 761.07364349928275, 762.51506451679234, 762.64248084855035, 763.94420262281392, 765.38080312252498, 769.46449031725388, 770.72816009631799, 771.36274221186693, 771.39903530430229, 771.5297381965164, 772.42585252760591, 772.85301815654157, 773.1359261342875, 775.10946817996694, 776.34024411459927, 776.95458399622396, 779.02322777744394, 779.32891422652517, 781.36387238186808, 782.96995584320553, 786.43031641524976, 786.52677753576302, 787.19105541757926, 787.26015806614907, 787.73059569191923, 787.9053364147461, 788.59700487566522, 790.55055345961944, 791.11298389083049, 791.14719157073307, 791.75225098683711, 793.03128438414251, 793.39262197393532, 793.6284409243965, 794.54175964980709, 794.74170217343249, 794.86270767079907, 795.31796719158785, 795.52739901209532, 796.63463163173878, 796.84109819639389, 796.96148668791147, 796.98880008213916, 799.93220646053044, 802.12965633497925, 802.30314338190146, 803.89485489898073, 806.09635734718302, 808.49680489290029, 809.23770408298958, 809.47855370654247, 810.60177907945661, 811.16591698616082, 811.32107592946022, 811.48696309567731, 813.41437238173091, 813.9132287933852, 814.23275073538196, 814.57760983663184, 815.846900348134, 816.58581402635048, 816.8250945909798, 817.2910610343215, 818.63847954333687, 818.71523806838775, 819.32247483687968, 820.34385873628014, 820.40410757048971, 821.8308382535613, 821.94664548556977, 824.49893252835886, 825.01773551361896, 825.3539724848788, 826.08688538273157, 827.13252052541748, 828.4915148862317, 828.84524259545594, 828.87406761760417, 829.30965696994122, 830.1964761687334, 830.43515959706906, 831.15674768806014, 832.3330880473244, 833.73801929217723, 833.93452319063829, 834.97786863327826, 836.61238141370075, 840.32571238961521, 841.1016369846925, 842.56333810674096, 842.63480508802149, 845.71024992451225, 846.00316464152297, 846.58974099344903, 847.37769936483051, 847.79374335489706, 850.09416017249441, 850.66524657405228, 851.91117375660133, 852.92906014374842, 854.0177304344129, 854.48959506227106, 854.62090431554407, 854.77835639633861, 854.94822873988869, 859.07047131915215, 859.52097905005724, 860.03776367533737, 860.62017930553861, 860.79362515620664, 861.29652264248728, 865.30349271665045, 865.48728688861229, 867.04076641119241, 867.07734507325074, 868.83198231854101, 869.11655140301536, 869.37450419440574, 870.36188923393388, 870.53398815474293, 870.77480616284856, 870.93060879974985, 871.46793371086983, 872.0007631506237, 874.30938236466534, 874.3405652858346, 877.3338107111781, 878.01179012076693, 878.68715750520448, 878.86661952248915, 879.37352001785121, 879.80938986069464, 881.41106921119695, 884.1666853512055, 885.55166428582049, 887.26012991546042, 888.67915458817299, 889.30985361113005, 891.15049990231614, 891.20561413881592, 893.33299134629851, 893.49434143992539, 893.54377978236892, 893.9580101137019, 894.19349299978558, 894.74646589886538, 896.08693131130713, 896.4427599123793, 896.69759751753236, 897.01241045119571, 897.17412787041815, 898.19840086527381, 902.44045771957406, 903.17602720273362, 903.80961865950633, 905.40771248490751, 905.57257028124513, 905.80898323195879, 906.97522121972736, 907.22238910211627, 907.52073437956346, 907.91113042006168, 911.71279494401631, 911.75892788508713, 911.9289759190533, 912.42348490742825, 913.33222758238799, 913.55701412799692, 913.83386624907712, 914.24015393454124, 914.30144274261954, 914.63031854634414, 916.17013530924407, 916.33309563572163, 917.33360358532661, 919.91194871147968, 923.71504266927298, 924.10953317329177, 924.33686262526635, 925.46947087606418, 925.76973254605082, 927.27210286208276, 927.71330373321598, 927.84034835094087, 927.94663810790121, 928.4502759494801, 930.44291355303596, 931.15572374616249, 932.25246654424973, 932.97643031272935, 933.562853697842, 933.71310285551897, 933.73553341197214, 934.92940486962289, 935.9049774230316, 938.52043399802278, 939.09615738083721, 939.93547290718402, 940.67499221243986, 940.72015041803593, 941.51832787340868, 944.5279021515604, 945.81450752508692, 948.51133352686907, 950.59073292462983, 950.98272613782558, 951.69682635318168, 952.18055276733548, 955.08253400508283, 956.69203097994694, 956.8706790546612, 957.01150352467789, 957.31311897296916, 957.67934670903708, 960.64082106360206, 961.63780737330262, 963.63703617496878, 964.23205295731464, 964.80508012914538, 965.60774938731151, 966.31320552333568, 967.40847871089306, 968.03774280898733, 969.11526181774411, 970.22025518174075, 971.10552296103344, 974.35159726253835, 974.59849238245704, 976.41311011517939, 976.51924843634526, 979.98514434656704, 980.98577881703341, 982.05820243029041, 982.73423805889797, 983.41790995849692, 984.97723317851808, 986.48871585942584, 988.28731132278551, 988.55966059392756, 988.98185437267466, 989.86088104078897, 989.89243662226386, 990.58246385817222, 992.11698764431583, 992.47624325276217, 994.64454024045517, 994.83025478381853, 995.21298431636569, 997.01356051167954, 997.11102686953882, 998.79669647249625, 999.81388555819558, 999.9125619709672, 1000.1715571322201]),array([13.281821300534203, 13.733059643059883, 14.706455323478647, 15.29542658183137, 17.09571447984662, 18.89431251872794, 19.089517629739003, 22.788232827425006, 25.10549008839919, 25.464145154565085, 25.994030019251081, 27.318233679801267, 27.435778682701034, 30.954956151670167, 31.030395675049974, 31.962807465638448, 33.386183298575418, 36.018224779290342, 37.598693969457834, 37.684823220141361, 39.193027080604153, 42.148566398559119, 42.400858810106072, 42.67681899644807, 44.78981298716014, 45.60026177457177, 46.065889170462782, 46.98473551508031, 47.182439192798086, 47.276320160104781, 48.295983000651447, 49.525923168012454, 49.694739386693328, 50.353721460053315, 50.551220196452128, 50.718735848199202, 51.771408435108377, 52.789821254053955, 53.117970023967104, 53.916569224619408, 54.88540714194496, 55.963965619785014, 58.467728799924046, 58.954600456080875, 60.017387583422455, 60.577374512554918, 61.210418952187524, 61.542664137936548, 63.468734867209307, 63.705360686067479, 64.382806739466844, 64.660536190105901, 64.919907552467862, 66.19906714829537, 66.317702108611329, 69.739011995213772, 69.76528107657947, 71.537304883931967, 73.287463466471223, 76.443676973444681, 77.186957500884674, 78.163574899704102, 84.805225388300812, 85.552621069775086, 89.545808798516404, 89.961960295288961, 90.846135582657638, 91.643075555435459, 91.957584403678283, 93.358982962320425, 93.981807211668269, 94.343283669855509, 95.214509451777687, 95.30244300596199, 95.442808397645123, 95.486623438872257, 96.576128496211865, 98.12912142661979, 98.167299227101822, 98.242248276938071, 98.537858110831678, 100.90165981960298, 104.32666339658158, 106.52551925957896, 106.75544081961255, 107.31305161944135, 108.74443882397692, 109.34592658517613, 109.51745737848499, 109.77394154928149, 110.39010218085156, 110.86063403255554, 111.60943469996025, 112.28358064222232, 113.72461770903114, 113.84106434337184, 117.11642340000526, 117.49841869155279, 118.39884753526601, 119.18369027094161, 120.91943080200261, 122.28933282366158, 123.52872396219546, 123.56164566938355, 125.40014889941553, 125.60207646673732, 125.64176442320918, 125.66984986928917, 126.86267284560788, 127.14241726755915, 127.54334849843845, 131.29576127309522, 131.87478358016926, 132.06044690059437, 133.43736229779282, 133.64480560426287, 134.12561289732554, 136.56783193042821, 138.86065556837522, 140.09226608719538, 140.75581309252411, 141.79484091905218, 142.27464720824463, 142.31770576745652, 144.14957211316923, 144.22262128313167, 147.21836533576604, 148.28971279784227, 150.74278376067889, 151.88648099739368, 151.98450143913863, 154.40892082922394, 155.50849706072279, 156.04089293000797, 156.06398543820188, 156.59557138428605, 158.32809476089164, 158.67343534635685, 158.91488350635603, 159.4721364463667, 162.49707465947276, 162.62531194288945, 164.74535769204488, 165.50524506539031, 166.24471867563844, 166.74222246295406, 169.27013788745168, 171.67125162192028, 172.21518443060296, 172.46344184371225, 172.56809490819609, 172.77737879538643, 173.65260352258881, 173.94488552990876, 174.71998662224942, 174.89419674671564, 175.31149852487852, 177.91842826103394, 178.13182000186913, 180.8722864162813, 182.13724373149608, 182.31574392154849, 182.44873143117286, 182.78880967957284, 182.82403235774967, 183.61853533090169, 183.79300075629658, 188.39744652868413, 188.65650759466027, 188.76673261036754, 188.95621346006141, 189.96826754396142, 190.40645435711957, 190.913496575186, 191.15790366992721, 193.40945371317176, 194.05688291897812, 194.17077194156266, 195.71532800478971, 196.64853605613467, 197.76570102499139, 198.60171222987822, 198.7842847425093, 199.65555144387193, 200.53833618652251, 200.78992949841657, 201.06090697235328, 202.82789614462538, 203.98735734300072, 204.65962550926187, 205.93129698967249, 207.11060026984129, 207.28998330629889, 207.50638485317512, 207.99863681910827, 209.57849562221369, 210.42143808399189, 210.97232239235638, 213.1090900430145, 214.32230831217896, 215.21410077557474, 216.04077029867835, 216.55986960543291, 219.34494306459558, 222.85949118324513, 222.91456128604653, 222.94353649467001, 225.00972047231068, 226.26387891545099, 226.47398214264325, 228.39801672219107, 228.60027602816351, 228.88126902946399, 229.07371487861224, 229.37733570240576, 230.25790393692961, 231.73644347843205, 231.93159894811626, 233.70572158521304, 233.7270526293623, 234.52196478513585, 235.39056383447695, 238.53595444911977, 239.57053457966612, 239.96775177766787, 240.40079430242346, 243.8373745110014, 245.03766662528889, 246.01947170726163, 247.65373848149201, 248.46466993098548, 248.92583720307451, 249.83125233562103, 250.25712464280394, 250.83336776679707, 251.43343062538969, 251.81315113049965, 255.08739922939296, 255.73697374155026, 256.28583802027612, 256.99256767494603, 257.40645331838243, 257.57350389010912, 258.88961176449561, 259.12814819157103, 259.59101294364075, 261.26346220758313, 261.35649202312726, 262.20135810699571, 266.27758855263374, 266.77637185047445, 267.2915841549771, 268.77618633863801, 269.25777477600536, 269.42897867411057, 270.26368553267253, 270.79577387799344, 271.22156529379384, 274.31170257903642, 274.86639327543122, 276.97435308281382, 277.73634901832281, 280.35372392804965, 280.46544806188473, 280.792654750731, 281.55671880574033, 283.39705640865878, 283.42281932577259, 283.95549859519576, 285.77093268583099, 286.27583888997106, 287.35567722612063, 287.97516818485224, 288.20295567778072, 289.33923759798046, 290.11648000200012, 290.362580369677, 290.94073305724038, 291.04316243245654, 291.51619508862143, 291.86884017172815, 291.90526549569165, 292.78608647328997, 293.63238270049618, 295.52236904974916, 297.40246441715959, 298.99344016443024, 300.14297094243119, 301.66629950805816, 302.84227966320373, 303.14236147312562, 303.49274338365564, 303.67328267917713, 308.12719930117527, 308.55583217629885, 308.83666364414, 312.76759140752188, 313.58241250699797, 313.9183274825192, 315.17267268023511, 316.3849469514044, 317.21121958358458, 318.56750193551846, 321.16676098364729, 321.53565300639582, 322.84736379998412, 324.79895084013759, 325.99654272636542, 327.81916694768609, 328.14868906255464, 328.76055016088532, 329.06781717326754, 329.76661928618472, 333.25407989584471, 335.15881749671371, 335.91380625602739, 336.56247443357466, 336.82700978202507, 336.94196624407203, 338.60672312837602, 339.78363971214873, 340.53621440326316, 340.96218866817094, 340.99480034820107, 343.78278168364716, 344.36878933675399, 344.64144020720192, 345.10241232817208, 346.08548084964889, 348.09996160778758, 349.5502080386272, 350.57425731633231, 351.78580642138314, 354.33872855593876, 354.54331368712116, 354.96424113587159, 356.3704658501623, 358.0959181243382, 359.73029260866417, 360.68310105493691, 361.43411044743135, 361.54981887082238, 362.84794484243241, 363.28787245582384, 366.47534991875477, 366.5238613871507, 367.15761863950854, 367.25591373850239, 369.21200479845282, 370.50295707644159, 371.06292646138752, 371.1167937901659, 371.7008808360099, 373.39610058638573, 373.47586728224337, 374.20217589571052, 374.60411552570201, 375.53374979588796, 377.36544978564143, 381.03122383941843, 381.5876364348141, 381.91859055220158, 383.49882707297701, 385.02232983077306, 386.57203236774876, 386.89615365504528, 386.92439307522756, 387.5830605677703, 389.4100050180466, 389.6189720471271, 389.66722864986332, 391.25073935017474, 394.30964944633223, 395.52804506513911, 396.66688336319856, 398.7290421753957, 399.47247548118867, 400.74569872782081, 401.08792931789708, 402.20661504995684, 403.96996472485529, 404.07641428275372, 404.58489876322045, 404.88452585197621, 405.61769288099117, 409.60047266032768, 409.90579245604272, 411.57338577961809, 412.13876036335381, 413.50462605081896, 413.97783189969181, 414.54042302052426, 415.1091605632821, 415.9730215755032, 416.1477053920799, 417.05030927588541, 418.22498401719366, 418.26598112785149, 418.86949628065599, 421.24234631249982, 422.6838410036334, 425.47622734006677, 428.78341024115082, 429.25617462495495, 430.20163899392873, 434.14143423973127, 436.18541505751193, 436.27514801066116, 436.31270896214767, 439.89885627123238, 441.9039143225537, 442.24358242804237, 442.41173154832165, 443.51019595637251, 443.72218307669391, 445.67579203093771, 446.57783939437479, 446.63328438867183, 447.40682926191317, 451.96317165689715, 454.14344413527158, 454.18892615703311, 454.64501220625613, 459.19257796829004, 460.6111220728921, 462.04038941524345, 463.7373818131644, 464.93747075812826, 465.76358367010948, 466.86672887348942, 468.50070164737622, 468.98481992672691, 469.3964286290132, 469.85728629081109, 470.94392088190904, 471.20792345644475, 472.36513064275357, 472.565286461906, 474.43592590104623, 474.74885322923143, 474.77788804354435, 475.42047040105132, 476.21068516766826, 477.26145055035391, 477.45380937649401, 477.50985106821685, 478.16301300958156, 478.66342486480079, 480.37264914258532, 484.95065435794857, 485.44778656577608, 485.84730040059179, 486.95835523076306, 491.44070589028951, 491.99997990422753, 492.91993534967708, 493.37218822882562, 494.05950658642979, 494.46709403330374, 494.94928389307341, 495.27392848750026, 495.94320705291841, 496.10151648275217, 496.20395899028978, 497.30195337392223, 497.74248463513862, 498.69688959614058, 500.59711626029389, 500.88671828304075, 502.59060958486123, 503.73063063446472, 504.66510325356882, 505.41787403821576, 505.79801998018741, 506.5376516953616, 508.3482432769336, 508.51801775298998, 509.95259181806398, 510.11799704541033, 510.30875485777949, 510.54868800454102, 512.07193268610138, 513.26715327356828, 513.41706603380976, 514.01518740048436, 514.80475602509034, 515.88181136368769, 516.13695214342215, 516.26762305645843, 517.73575607316138, 517.96352947321907, 519.38795124492333, 521.89230964058368, 522.24627017500143, 523.25490016289552, 527.31574992759272, 528.65142301221249, 528.74443074184092, 528.96759091715069, 529.89831932309016, 530.12613086707449, 530.46512065381057, 530.57877272601434, 530.68876963568528, 530.81124644063505, 532.06726969450119, 533.23675429777973, 533.62335059222244, 534.65358982936641, 535.33170453583978, 537.00655029660061, 537.78752357529049, 537.92502805603988, 538.55468204151725, 538.82032533035419, 539.27920824446551, 540.89620523222698, 540.97026621476266, 542.70180270300818, 542.83655308084155, 544.90563931090765, 545.66679670620806, 546.13928287198155, 546.97042585396719, 547.56082819171627, 547.65615645065975, 549.81282643607847, 550.02808833370989, 550.11450562785978, 550.91081348340447, 551.13581385929774, 552.67823104401293, 553.19948966506558, 553.33108046559812, 553.39282234697646, 554.47776943093675, 555.65581503211001, 556.19200102023569, 556.63785304532769, 557.86055303256023, 558.49715397093735, 558.57551154737973, 562.06141267587054, 564.29121884813731, 566.60571528782725, 566.81098982155481, 567.0918993110929, 568.04064068433138, 568.39601955956095, 569.1901960678191, 572.40715025935822, 573.97253458750606, 574.67565943327043, 576.06666519402074, 577.01291569522755, 579.00918337594806, 581.18851725258651, 582.52385722069744, 583.71334339709813, 583.74369556492559, 584.90133995372787, 585.97858114134624, 586.45444890333295, 587.94583753045742, 588.46475340845723, 588.57169869300742, 588.90020261436723, 589.2831092695676, 589.43935686978364, 592.05947321701819, 592.27349947128505, 592.44850695213358, 593.17608858412632, 593.40247139032374, 593.73888322292839, 594.10668692272861, 597.17535607947843, 599.22365071336878, 599.91928329656059, 600.29928916218228, 601.03649394133288, 601.40885787166076, 601.85126280203008, 603.34008715319578, 603.72416240368409, 604.92133776070227, 606.84788598920625, 610.67760009856499, 611.74665556031528, 614.24552992038548, 615.30012303895296, 618.15145329139739, 618.68125064052674, 621.74340867249134, 622.14679062228765, 623.80665041767804, 625.23971583744719, 625.32901181934608, 625.90067166674635, 627.4252257290176, 627.48384546315185, 628.86192976876077, 629.71124362171372, 630.21393584012674, 630.77509454761423, 632.63313312398918, 633.81311964768975, 634.26336606983364, 634.74932487336355, 635.8535400639505, 636.95456692982373, 637.18816789885648, 638.40132490856138, 639.00601831880078, 640.73373018676091, 641.29823218567867, 642.87573125525626, 643.60919386531225, 644.30838827266211, 644.54724097542464, 644.66422872011287, 644.96511671610745, 646.70700195603752, 647.18851837830834, 647.31871960121225, 647.87409389288359, 648.22337539879015, 650.80350001892896, 650.88640659018301, 652.06329034198029, 652.99686729973666, 653.14751147086247, 653.19098465969091, 653.33838798756426, 654.19560836259552, 656.39475018333167, 657.59636820018898, 657.97120049240482, 660.15582630129541, 662.1524736238058, 662.55960099986032, 663.58548724859406, 664.0802751776755, 667.09652540719298, 668.08556038953998, 668.88417982680096, 670.28496978628709, 671.5336151086824, 672.09308839505104, 672.59188852684576, 672.79719141901865, 673.6438761510957, 674.12201154848287, 674.75415496953804, 675.90540086241606, 678.57924733662981, 678.63317664751594, 679.64494749658252, 680.19963807853105, 681.64225602468696, 683.75724638597626, 683.77993118044799, 685.39268174272343, 685.59749333392301, 685.99140726105338, 686.10852685487009, 687.66910915758081, 689.2298174167114, 689.38909644867067, 689.60027260109678, 690.46326535049502, 690.62528387337136, 691.53653879686578, 691.96051895700793, 692.31886998478342, 692.43507230684247, 693.65744408501098, 694.55065224416751, 694.67110570013585, 694.89744145982195, 695.12933788513419, 695.33996769121961, 695.7224469487511, 696.46869629950652, 698.07177818143157, 698.35021369824437, 699.18285550681583, 699.28724668656082, 699.64518657924521, 699.67134552056768, 699.78132171624043, 699.87104965813876, 700.72040476240363, 707.94783892479518, 708.47676386087323, 709.10324063113603, 710.26247547686376, 710.44729191517069, 711.29828265742833, 712.08043501088173, 712.9219854452482, 713.10525957281845, 713.19058627352342, 713.6120553968384, 713.91648541361803, 714.80659439689782, 716.77182468212061, 719.74678407538829, 720.41039826611745, 720.85897607555989, 721.0373434819362, 722.46810999197749, 722.60345950394355, 723.20185692481368, 725.08471250991124, 726.11341563816154, 729.00633065925626, 729.71097530664463, 733.66291954813835, 734.0521144463803, 735.69681751338032, 736.89155859798564, 738.2001051291611, 739.48840950543831, 740.10191577843489, 740.51137484455433, 743.79917908998914, 745.50063456890973, 746.29491850404372, 746.56887489636881, 748.3324754227599, 748.61169480023716, 749.37711132020706, 750.26003608085546, 755.06306634285261, 755.09367011701625, 755.12024710148387, 757.29923117993178, 757.62322982716501, 757.7864138192341, 758.30312253131012, 758.32860151990542, 759.24238923003054, 759.30974402997151, 759.8170645756943, 760.68305822919012, 760.82447651091957, 761.75291833601671, 762.74272890470161, 764.21216712945977, 764.83375403871241, 765.42695023349472, 767.33351521219697, 767.52623177404791, 770.14977415334295, 772.94100866028998, 773.08983137452196, 774.51953174420896, 775.48885052445746, 777.39496534166631, 780.2670428490336, 781.05768284185308, 781.51999259392505, 784.29329442555922, 784.45324920549831, 785.2831651826674, 786.09165164065541, 789.26007254900685, 790.97743131223251, 791.5465261698015, 799.96483471007127, 801.2563241670349, 804.74207092797906, 805.46157814566675, 805.54247724418678, 805.74882432996071, 805.88174844495984, 806.18295200518082, 806.48647161704969, 808.37132051686524, 810.29413970488156, 810.41319606947809, 810.56564104114193, 811.43902672515833, 811.680437023693, 812.11748061728474, 814.99684111033446, 815.5032994349508, 815.57549762380211, 816.45334460485674, 816.93549785229663, 817.06161415492477, 818.46364034825615, 818.64541949425063, 818.85485487341634, 819.04270084597397, 819.57724929365122, 820.03895873512249, 820.9490659943109, 825.11213590032401, 825.48417476804912, 828.55214975185152, 833.48532314670251, 833.77112929960958, 833.81850833682131, 834.84078107432174, 835.0261092005403, 835.95253154648822, 837.94110041682563, 838.17063585465246, 838.37599091944708, 840.56078687632851, 841.17964214700589, 841.42025879127334, 842.35820042754983, 842.61765291019992, 842.92460018031352, 843.08853241947861, 844.70412453370557, 844.79377834081902, 845.6434600468283, 846.29373916327927, 847.907033569801, 848.24495600983732, 848.56906782637486, 849.99638390525365, 855.12601130172561, 855.99002188143641, 856.13128377540909, 856.26736191013094, 856.83182561194985, 859.96012491356953, 861.49158716706143, 865.44855478330146, 865.69688803428357, 865.82663319699316, 867.25236593733382, 867.69796764170428, 867.75273018895234, 867.8175666396935, 868.44088406817934, 869.82360600777065, 869.96739390025834, 873.2402529960101, 873.38713009227558, 873.6077896889733, 875.67570690945399, 876.60701678489454, 877.3905631969493, 878.44049800028529, 879.19159105150175, 879.54910964729197, 881.33195950667857, 881.62490440403712, 881.85075395656418, 882.42893816427613, 882.64325804640509, 884.80158824447903, 884.9547061526788, 888.89007869729642, 890.44826260799891, 892.52815204934871, 893.23201348653333, 894.13772937643751, 894.6137601225754, 896.16338301867665, 896.75846341501369, 898.21101725971516, 898.23875458446889, 898.68952476833135, 898.82951208708732, 900.60299373498572, 902.0726711479499, 903.07139406701162, 904.16811716829557, 905.03433717363191, 905.25493551712941, 905.50406584683981, 905.93823061965611, 910.40908078212647, 912.48355558100229, 912.66538947009701, 913.31132427783768, 913.81241967077233, 914.20648066836486, 914.6163752112567, 915.50356594733637, 916.16225706914634, 917.49555771398775, 917.84074727871121, 919.3310829548326, 921.16317220263352, 921.23346574793038, 921.76266612979794, 923.55879098310027, 927.7343287349936, 928.20439190703678, 929.8916567170221, 929.93517093334594, 931.39705144240395, 934.70508696377499, 935.62467689621212, 937.60812815097574, 938.23279409258009, 941.30416899433374, 942.66393808142664, 943.00391908087806, 943.89143075495508, 945.71507590883482, 946.5885047183184, 948.7624088464147, 949.45165482339235, 950.45998975311295, 950.72241903681333, 951.35476927855268, 951.8690534635416, 952.07601639227323, 952.97560334765194, 955.3398006634385, 955.78891340333416, 956.72936698337821, 959.27816185786321, 961.52011878590747, 961.66772797770113, 962.40401932157454, 962.52718726933779, 962.77277389957726, 966.45144700998117, 966.53122875315, 966.55970467782799, 967.02838120381364, 967.74809337826832, 968.50027608363985, 968.92712833461201, 970.07610251056269, 971.48338691804747, 973.76271257612757, 975.57246045291652, 976.73561904476071, 977.15078009890351, 977.31795858054045, 978.20789127079559, 978.86788651248833, 979.68059152101182, 980.71836099983148, 980.9371566789888, 982.04648220316847, 982.3201074956105, 984.01827221441499, 984.06182922073197, 985.12690731518546, 985.75315654313397, 986.24872443901631, 987.55894544298417, 989.37569782982655, 991.08255118414331, 991.98457720243994, 995.09332399577966, 996.59886889505458, 997.10773717025961, 997.6697003989334, 998.54624150969687, 999.47348740653081, 1000.3583790248164]),array([9.2347015022313901, 9.3377720430496947, 10.378039064568361, 12.121024035751692, 14.520007239474348, 15.072215172624645, 16.206329812948947, 16.898827628373507, 20.742618675837345, 22.510388730989053, 24.581033347731033, 26.79920400149101, 27.069162839040672, 27.199861742304812, 28.151074272771371, 29.407433269658561, 30.105382965600608, 31.022207848980489, 33.665258422627019, 37.254677291732371, 38.151939312307469, 38.435193831764927, 38.561974534590291, 40.636295033795577, 41.141246814124472, 41.695427951110474, 42.303980845534909, 42.541785174146909, 42.630551293534673, 42.868982301230574, 43.067750834623105, 44.142070515322857, 44.186241188180453, 44.750377488623549, 44.921127116439337, 45.399615754392848, 45.679324521325817, 45.750081430347713, 46.166846003275758, 46.997148853245719, 47.113676577435747, 47.182160334057052, 49.017187805593316, 50.104681300996575, 50.474054031712768, 51.495177440915782, 52.339276713524427, 53.283162891301941, 55.13699801162673, 55.549736282046808, 55.896439230768358, 56.904804150379974, 57.413132391796864, 57.458667805086336, 57.632343749559425, 57.835846448509429, 58.147409041548549, 58.233744640307734, 59.012497401228337, 59.67462671383214, 60.13369575267896, 61.38174556214409, 62.021167223242799, 62.130415988559434, 64.937167136560277, 66.136241555668946, 66.263424578198908, 67.808170903480786, 67.987134294741409, 68.762924030917688, 70.007558008823167, 70.878151438964991, 72.289940529983795, 72.370042957960422, 72.520582564637905, 72.641191930249448, 72.698946191195049, 73.451824234983278, 73.84237436047664, 74.262867182811291, 74.748743543349093, 75.164511633063896, 77.331068756747186, 77.401476009944858, 79.463299015755638, 80.642833342194422, 80.930871555640877, 81.713481097470336, 83.726557356895825, 84.439726892348546, 84.653879629206585, 86.740087241823005, 87.21164974161735, 87.697585506049251, 89.691239639235533, 89.919122372899878, 90.028160951107324, 92.319824405527299, 93.300799901698682, 94.771307875793724, 95.211273120274143, 95.718969978472018, 97.387716359302033, 97.934473424249347, 98.514854712540071, 98.663260155329709, 98.98110581089901, 99.023060821034818, 99.204679999077484, 101.92279457250822, 102.00376651984868, 102.42148381242291, 105.07211646687101, 106.40272667153762, 108.2637283426909, 109.85959755482328, 110.085246972162, 110.86064610981934, 116.33145243432425, 117.00708782831656, 118.93452556809923, 119.06944128516403, 121.22608735135462, 122.9017245310343, 125.79444059753033, 126.45203292923135, 127.33021443102875, 127.98708330179259, 130.1175447500386, 130.33201337331312, 132.58323414357585, 134.61624987007394, 135.84741170617065, 138.79397295167394, 139.15400606340037, 139.25071552374519, 139.48179284109113, 139.75183648130584, 140.3797595670637, 141.81586345374666, 143.10414649979234, 143.8107122719266, 145.47536888935105, 148.58532540495463, 149.53192668094113, 150.3472757809968, 153.3014966099397, 153.48146837385886, 154.3188623945658, 157.05592045248022, 157.19292620269445, 157.60109395008993, 157.69092467902664, 158.07955900623571, 158.97029617992649, 159.90200108574427, 160.31362740791423, 161.04787662628959, 162.27554958009603, 162.33786045961193, 163.85511798957157, 164.0865162898821, 164.56097768062671, 166.33874117906319, 166.76644306144678, 168.28132928612419, 169.22388628681463, 170.30931036392175, 172.53326164690009, 174.37454936806466, 175.58355985468305, 177.96774929323809, 178.55221157007671, 178.96689562636521, 180.12767476483404, 182.9975713411628, 184.17393848498139, 185.64119952206931, 187.61207975195413, 188.85803417399188, 189.78996203998204, 190.41512243280687, 191.75998924308757, 191.99664890842016, 193.19937734374221, 193.51357514393882, 194.77896649346772, 195.57161882049633, 195.69574279756418, 196.55991951688659, 196.72401858078388, 197.46108886680281, 197.68228536687158, 198.08013086319696, 199.34033961182678, 200.34227679200663, 201.37612320485422, 201.82429770181304, 201.90453291311377, 202.6039463162644, 203.19467736419938, 205.04482395048453, 205.27025988810365, 205.85612393920556, 207.55813010361095, 208.46637358401776, 217.04914037159287, 218.23795376558616, 218.95859022551153, 219.63972255015824, 219.91827245263084, 220.78635527810184, 221.91372884421256, 222.03427806777432, 222.23396114610048, 223.49582328665539, 224.90779082831872, 225.07345564221086, 226.83583415858394, 227.70839103786724, 227.87123721809175, 228.8258842937459, 230.35058360242195, 231.28223685134893, 232.16118043505131, 232.78079564685643, 233.41397044633371, 233.47120708957456, 233.75998939241524, 235.45477895061086, 236.05804518480025, 236.29970972107131, 236.93881913280813, 237.52943129839551, 237.63091823442821, 238.32985426727959, 240.13705792027372, 240.57120938374018, 243.33905897000631, 243.53251074009742, 245.54368435489013, 245.89499175600031, 249.25069704592158, 249.46554407352627, 249.58273502685901, 249.90573229072427, 250.85675978899329, 252.53871101260955, 253.8881373987565, 254.36763294836527, 254.93392211167517, 255.52448999598246, 255.57113197471381, 257.46584347850364, 258.22508541773317, 259.07739356728786, 260.04152598941357, 260.41625186300064, 260.96036081657076, 261.38972066856104, 261.82198513392342, 263.07647541443123, 265.57835744125003, 266.17810474269817, 266.96311138568484, 269.24788279376833, 269.64665800982129, 271.32805366986736, 273.7315025321065, 274.65186035281442, 275.31492523945838, 275.47992958531967, 278.32989276682883, 279.41853861048065, 281.59912590557121, 286.65069110915476, 287.24944746952508, 289.07778797546445, 289.11628328355846, 289.46105824085669, 290.28008059395529, 290.77986904083707, 291.48381997185186, 295.03976607042506, 296.00160947062091, 296.15394863521732, 297.64860316900257, 298.88234444415428, 302.53297972746981, 302.56596992725326, 302.97172337643156, 304.16426037375749, 305.45438653941551, 311.03399862562912, 311.20018391721396, 314.28596769297837, 314.39916611929237, 316.38185907966403, 316.44510694545306, 317.31472950400229, 318.89656201698853, 319.50536704813709, 320.77309751522876, 320.87704395869628, 323.20158853370248, 323.6573852133414, 325.08084795033511, 326.14329566485515, 326.44490419725906, 327.68690923902244, 330.05228535734659, 330.39685261681103, 331.24516526150074, 331.5799371626195, 332.98903960305279, 334.79477173903012, 335.89146827941397, 336.8298862291511, 338.33939660942019, 340.49657223479056, 340.63716765105852, 341.91795068574822, 346.57302451769425, 346.83702115181563, 346.92373738574241, 347.15336597026857, 347.86403585187793, 348.96453265603884, 350.24652232509214, 351.29938139462888, 352.38434898196357, 354.43565061670319, 356.37496860781158, 357.88727374162494, 361.9244037820626, 363.24835206711219, 363.7365219374397, 367.4534526370972, 368.102594588258, 369.26069665936376, 369.51288846739129, 369.75198012026777, 369.94459835891098, 369.99767705675106, 371.2687046635607, 372.31126938015245, 373.03876256771906, 373.45898083145659, 374.44227622711907, 374.81943734633927, 375.20366197886449, 375.37268028117541, 376.09344486485901, 378.07683400799039, 380.33104186898964, 380.72609436971288, 381.33971506666836, 382.46616304487759, 382.75023217175834, 384.57567440972952, 385.46416706618538, 390.52065924387239, 392.60184959730503, 392.81691904066645, 394.05700772127227, 394.57645511232721, 396.593509284226, 397.75133466101192, 399.69350192023347, 400.81356358352195, 401.19145296359619, 402.71294653217683, 402.73430277464422, 405.99195618093671, 408.14155525677421, 408.32279502864714, 409.68708149829718, 410.4119807485302, 410.93248428469781, 411.34319838930867, 412.03104278894477, 412.21309043150143, 412.27720130596782, 413.85216250695129, 414.55524823109886, 415.08630275559324, 415.97426406416673, 416.77610528345195, 417.36422634407751, 418.44946812377884, 420.21285690356405, 420.6237662769164, 421.97270841970072, 422.01542999010314, 422.16699109622726, 422.21196534136897, 422.39800410377944, 426.62005674830175, 429.43220891919259, 430.64662019269275, 431.08112886505245, 431.71516754683825, 431.98053366053489, 432.05917659075749, 434.6759301223874, 435.10825727178116, 437.44587295389113, 437.608511265841, 437.88277798833639, 437.90471467200479, 439.14477507244635, 439.51909309288033, 441.1116327659492, 442.50956518702935, 442.54504866305552, 443.75504571427632, 446.08827170472694, 447.07143294759328, 447.75639776314745, 449.94471579782942, 450.7070689246853, 453.80831057518077, 454.00573001869498, 454.17833186895825, 455.45091232067114, 456.75382209089554, 457.95922713261797, 458.17924473111992, 459.11356197573531, 459.92403554655095, 461.02060424375617, 463.03122207699715, 463.44096613080274, 464.12601928514681, 464.68940582380566, 464.84864429398732, 465.44044814906636, 467.67936210071815, 468.3162310373441, 469.61957430165484, 469.72135484402907, 470.13091166769129, 470.65883586280404, 471.23887812453711, 472.56674212409155, 473.51928756843057, 473.97873716651696, 474.60259992135911, 477.61570139653105, 478.36613394545424, 478.99372425106708, 481.82471189321268, 483.07319997735823, 483.95201608454795, 484.30670076120288, 485.31801970849853, 486.81582316036315, 488.31601085964854, 488.64661935981104, 488.82092012183261, 491.53679655922446, 492.05952972326912, 494.94823488671739, 495.11140869910133, 496.87235019289233, 498.08967182815712, 498.12300874636452, 498.56220246210194, 498.81697390731176, 499.50672979263413, 500.07981585457054, 500.79812593425908, 501.46471761184915, 503.11505550047866, 503.30027998476328, 503.39465436108895, 504.0041446624125, 504.78468678756616, 509.25831373062533, 509.47904034096615, 511.23512564968854, 511.53688416285473, 511.60097545143822, 512.64820635068554, 513.29492277924214, 515.20363909150399, 515.40874214019448, 515.48370488254443, 515.96681421797086, 516.05533474680169, 517.78791223491726, 518.28832414041597, 518.66866779181203, 518.97480807372062, 519.44671113745903, 521.96578706221601, 524.87955457532587, 525.75362166156435, 525.93887839612671, 527.4028223828343, 527.84910448088317, 529.93959016408803, 530.46191346813316, 530.73120745015831, 530.84887009621468, 531.16627972228332, 532.25688565863766, 532.28158302274846, 532.51852106184913, 532.75006066564333, 533.11685794752555, 533.33377930055997, 533.4962634466799, 534.31671426363403, 534.5134572875512, 534.98048586376979, 535.69185721646136, 536.43865500898744, 536.85460888877594, 538.95504216580616, 539.29224923175889, 540.7358501097342, 546.73606624502509, 547.22108102485049, 551.84614917301622, 552.47023676736353, 552.72251926566184, 552.86023380220183, 552.94169409133099, 553.83312180297582, 554.85893355816881, 556.71943194000755, 557.16317123359295, 557.84663911386997, 560.09870825495977, 560.35054467205805, 562.06383580925308, 562.24057884612591, 563.44859351214586, 563.57826323088716, 564.22823363713735, 564.4312055783322, 564.82374914283128, 564.94412232913521, 565.01206439782038, 565.09810822557813, 565.90082525706794, 566.52202595044741, 567.68029232777485, 568.34255749697081, 568.38243273887429, 568.66532206879867, 568.93825206814563, 570.73862362102318, 570.76534570466913, 572.32148134997396, 572.54256635380932, 576.20241714828717, 577.53523124965182, 578.06668452977806, 578.25000765058746, 578.66643837732465, 579.31402237452619, 579.6151364991839, 580.24196207144416, 584.37853491661178, 585.68374783897036, 586.53489334983828, 587.1904512724393, 588.84496743517673, 589.01861179921377, 589.04468605470413, 589.1157778792666, 590.03014036905358, 590.67940480072559, 591.16494670452369, 592.69876701581791, 593.20101539777966, 593.4513521675093, 594.31294324374915, 596.75816036328501, 596.87245475380405, 598.52906527441928, 599.36175346928599, 599.99621671877856, 600.03650957108357, 601.00127650253842, 601.22251068036098, 605.28655260714208, 607.06062523466039, 607.10468444053117, 607.49782645582388, 607.84706337329851, 607.91876886287343, 610.74237223065643, 610.83727877632782, 611.51436370370061, 612.70444127991891, 615.28795270395801, 615.46802413137982, 615.67695017719041, 616.20024950193476, 617.1870891088721, 617.22002459537464, 618.16985081589087, 619.87357236989044, 621.86697309557371, 621.9056223679836, 624.30818121610912, 624.5091170586918, 624.78855061434467, 625.20711500322784, 627.23184396297245, 627.43405398134905, 627.81756508806222, 631.12960411010351, 632.12790354137326, 632.83199596701581, 635.00357367974607, 635.43640678206145, 635.76555261310932, 636.25200368513447, 637.49120555651939, 637.78569430489495, 638.11612521009863, 638.17538773509, 638.52754485161745, 640.65260894391326, 640.75175656964063, 640.80532216150709, 641.07906479229507, 641.31177889363551, 645.02756683199368, 646.61812188078773, 646.93373833259284, 649.16376856278248, 650.14075931726575, 650.44102446501824, 651.84677502097691, 652.43267551651718, 652.86406126552447, 653.1110158823659, 653.40681586986204, 653.50948720262659, 655.24041829967803, 655.63933832669443, 655.85348674100646, 655.89999466872257, 656.45627900863087, 659.44803081748455, 661.24716978647882, 664.61471371724735, 666.83221985550915, 666.89133099820344, 668.12940542974764, 668.20268401920259, 668.31516078255106, 669.68926021138668, 669.82679120193973, 670.24040980110749, 670.71969084528712, 671.33612970315426, 671.986920971259, 672.06054801232676, 674.57481406872432, 674.79377309766915, 674.90087750197335, 676.86852414714474, 676.98774995398026, 678.92246027696001, 679.83562243002666, 681.92532996759951, 682.33386782924447, 683.07682417856188, 683.31548689387716, 683.5257313373769, 684.48829928030511, 684.61145570737096, 686.16990467310359, 686.78580348171408, 687.09463711042667, 690.63949228382467, 691.42243074099065, 694.5522816383218, 696.97478246481376, 697.10713826323558, 697.16081813707785, 700.5570033059571, 703.7776638965521, 705.06875298550403, 705.30774186735869, 709.26012109765486, 709.66734663066711, 710.70194999244757, 710.90744105516808, 711.28709544573087, 711.81268636076527, 712.00358914245567, 713.16049638715606, 714.3357972807645, 715.26836489402433, 715.74594139463773, 715.80559674697099, 716.68244202850781, 716.97771984856786, 719.77545118098476, 720.56482360299003, 720.71592465392314, 722.9347168813897, 723.92893579642907, 724.24156801407071, 724.48384953518075, 724.71309599632605, 724.86793517050501, 726.25969903086423, 726.65698711298774, 726.85091248201275, 729.48423020950213, 729.84660851614615, 730.16184902482905, 732.03502573843423, 732.20257315399749, 732.63794827429615, 732.70514960924049, 732.97363881465208, 733.77657577444643, 733.91738800432142, 735.17641434545203, 735.97451707618279, 736.65322184071954, 736.93947147595179, 737.4709240141068, 738.21179096044557, 738.50520887249093, 740.07074565595838, 740.80522231605914, 741.67532354332104, 743.78537490906751, 743.99976757731815, 744.51914780269976, 744.75858063344435, 744.886812520033, 745.86866539990172, 747.66907684694149, 748.55814512637369, 750.00848356267488, 757.00771133517605, 759.4069652513848, 760.20213226673911, 760.85865346099843, 761.40727168045146, 763.88694819994373, 764.01755867366955, 764.86255027882453, 765.01274994003813, 765.0979001039052, 765.16463884798566, 766.28851252301342, 767.22921241733115, 767.7731048178905, 771.08666053427544, 771.66440638772451, 773.97922984999343, 774.07208647668972, 774.57125258669441, 776.21275373845856, 776.8764313462101, 777.36696864300006, 777.50463126077943, 780.07079587285921, 780.78906451811383, 781.50346753326266, 782.7791750482254, 785.37493976928909, 785.78538838086797, 785.91279326549216, 787.87599007436609, 787.95442656514251, 790.64956704843121, 790.75382927082524, 790.8304505614002, 791.57924949823393, 791.80199205462077, 792.82802394553323, 793.52094953487813, 794.45810319178861, 796.52197312434669, 797.43773531526347, 798.24355853170766, 802.66739529889378, 802.78248716486837, 805.21804274023725, 805.69931002604005, 806.88011971924936, 807.01059174789975, 807.69048142866905, 807.7653071477306, 813.70972091538169, 816.52550564501587, 817.42756506602495, 817.97382753214447, 818.31389926122426, 818.40627333256157, 818.52140877429179, 818.79686698958574, 822.06770861742154, 822.37012736262977, 822.57779849098949, 822.9203896971469, 823.62239295056179, 824.91907578860389, 825.87478734051615, 827.42815915588426, 828.42764809748826, 829.51779638867345, 833.19521002898591, 833.70075606099203, 837.01370769400853, 838.00060171858684, 839.11254777691261, 839.83446562723759, 842.77320875259454, 842.89799208309182, 846.43316765455472, 846.82970562845821, 846.98676723575659, 848.60686874332077, 851.42000858792346, 852.2114420612595, 852.85557505504357, 853.80134202365264, 854.42789265543149, 856.27936692610717, 858.97884154205053, 860.69246967183074, 861.96759115671523, 862.55820896860689, 865.21524935610285, 865.79321573719085, 865.88300567694807, 867.33430419268086, 868.34056578515322, 868.71670854761737, 869.44716715284608, 870.70891892533314, 871.29145249421833, 871.34266407259076, 873.49732736590272, 874.02805920930484, 874.32260482472179, 875.12852365398385, 875.25200069924153, 876.68441514056167, 877.00226759374243, 879.39481980032065, 879.6779042512029, 880.46051013328031, 881.26243198525299, 881.3809494081878, 882.04758908365295, 882.46433572909064, 882.49743964448498, 883.86803631703935, 887.50012173069763, 887.98397886755777, 888.84605871663632, 889.26912765904933, 889.29591567180614, 890.54531964088801, 892.42692990853573, 892.61003619990345, 894.91407910651117, 895.72404273967504, 896.83615354780716, 899.01605219136707, 899.4139333559126, 900.50507753344414, 902.95698307510111, 903.05149823863121, 903.89882562229707, 904.13812421501279, 904.2656163531459, 905.02072914740597, 905.31055790009657, 905.38978972357847, 906.03678980177904, 906.63538289040446, 907.74505865812216, 909.52887793765171, 909.9419913578605, 910.07818203311979, 911.93557643651536, 914.88513276320782, 915.74356177761922, 915.87378965360858, 916.48034227133951, 919.66485353601638, 920.54842777457588, 923.56770760620418, 923.94878549926739, 924.48740001596627, 926.08208211469844, 927.24030373531309, 927.41119699670912, 929.55637928893077, 930.06005686928586, 930.27033094712351, 933.18289167465525, 934.418357684429, 934.50895338767532, 934.88117717518844, 934.9784393116571, 935.29999160426337, 938.69640700589673, 939.38309456602406, 939.85038172721409, 940.24700149192392, 947.48245235959826, 949.37770329020452, 950.50161682017779, 951.22066412555068, 952.245494160514, 952.91483541473883, 952.98641440707979, 954.6695856136364, 955.84534610110109, 957.04193681403683, 957.34157397271269, 957.6614930980212, 957.72943309824132, 959.31908517063607, 962.38988853347121, 962.58446722465044, 964.08934246586364, 964.26968090272953, 965.8576564369755, 967.35183986949619, 968.66796504690456, 969.99266249530626, 970.07627252781981, 972.66738359210763, 972.86942046293848, 976.79380330520905, 977.23528095167114, 977.77184750754691, 978.22595265904317, 978.74943855954803, 979.72362647526904, 980.32574300068779, 981.88513627874636, 983.59954332622863, 985.96739539640407, 986.7878433089935, 987.03849662402695, 988.8830543916813, 989.65878945211716, 990.57643830848838, 991.64751356212355, 993.43634979123669, 993.60785925221398, 994.09627296088763, 994.55052885719567, 994.99429766961998, 995.38483807393698, 995.94793169908291, 996.38330291925456, 996.75859524550083, 998.48101809891796, 998.70818874764586, 999.92145385009337, 1001.2605037594518]),array([63.693749878930063, 65.882702495193854, 66.424183005174712, 68.786049667851444, 69.291270617783439, 71.519338822367445, 72.315026433696659, 72.7182958823592, 73.145627423142955, 74.670643827883595, 75.492797110549375, 76.19249704825998, 77.286335134712573, 77.557021522364522, 77.618620859222744, 78.019295444935082, 78.531736744001478, 79.104914000291885, 79.50850533174183, 80.609301772612085, 80.88554192275349, 81.128919278418024, 82.154595280553764, 85.398724589526722, 85.617874382293863, 85.758192158014069, 86.245768140747202, 86.758374690686864, 87.742359127881073, 87.857779669650341, 89.467663247370723, 93.604659406868677, 93.952060214586311, 96.118907688743533, 96.618471728830301, 96.832177440290664, 97.476637754889097, 99.487509300671519, 99.71693250059478, 99.911324288816331, 100.20762910955393, 106.1156201102245, 107.76943380704573, 108.78847813656981, 109.82782460332056, 113.31424784846625, 115.25878187819148, 115.42885884295836, 115.74295919021263, 116.88252687533253, 118.66239490153774, 119.06630116945823, 119.27195290899594, 120.50180857697346, 121.28590704257591, 121.45407861473882, 123.27660337073273, 125.63145357242989, 125.78286827061933, 126.16898335528502, 127.81414619427996, 128.53234463605403, 130.61391016793129, 132.35072440406415, 132.59462242453762, 132.80702350722106, 133.52048670624933, 134.96836087261519, 135.20746162105581, 135.81834315458718, 139.41710121055726, 139.5655341256824, 140.93946238820322, 142.2415609495626, 143.03373332620453, 144.17229997142846, 147.59018939817665, 148.91701699778125, 149.07296891563445, 149.46395261647621, 149.74349295993875, 149.82220402175676, 150.45809007204619, 150.73543459663097, 152.11152362808909, 152.51837336822408, 152.57898761165856, 152.66277809696348, 153.00801670078127, 154.44590176217415, 154.46605626735828, 155.93069993815382, 156.28675671461448, 156.36233364442958, 159.07018971000809, 159.54392224118746, 159.97967349303741, 160.60589158219329, 162.63918757052534, 163.06329705193488, 164.33265160297961, 164.77399374873136, 165.73651136185134, 166.32088113328916, 167.02651572175191, 167.93255587324165, 169.07455438004257, 169.21684068314858, 169.53298455239309, 169.55970329927266, 169.75802160020618, 171.55679733970581, 172.35009552611012, 173.81692244743354, 175.97917608102085, 176.32836063980795, 177.36242204138534, 177.38405148957048, 177.47575024161009, 182.652706741158, 183.01616517624424, 183.22669518026257, 183.81781914418426, 187.34877442765128, 189.65511432594553, 190.23420962589205, 191.50822760942907, 191.66136251408045, 191.89741788348718, 193.44844299220145, 193.84129531772973, 197.38471511378111, 197.46133740208336, 200.69479423904434, 201.14026718875189, 201.27202944157023, 202.64656050880839, 203.47430239797421, 206.29797315678823, 207.90665547199461, 208.98902987132908, 209.73931321036423, 209.76758298983964, 210.44129299557713, 210.71784742307193, 211.59472010639547, 212.60486502466907, 214.04345100915199, 215.22077020960842, 215.33344507372445, 216.53536065145303, 217.54798342918224, 220.67909814494772, 221.79462870589003, 222.86809272794076, 223.0670428317728, 223.53676920218399, 223.75408408486669, 224.10262825695509, 224.98021070597696, 225.03607726701765, 226.2033966926513, 228.87141300012493, 230.92412633069964, 231.64718926907926, 232.40447269425403, 232.73247528584915, 232.90355246533971, 233.92998827835251, 237.96736290928089, 238.37489914247178, 241.18341682474249, 241.45851806856592, 241.86942879703392, 243.28342081082999, 243.30998612475111, 244.11763182415751, 244.65400860402721, 244.74327575218206, 245.12848663330305, 245.87771536915679, 247.24362616673952, 248.57271275555476, 249.09744280955675, 251.00677202533313, 251.44013944538725, 252.28703967106642, 254.47083370244118, 256.26060732795082, 258.93967536332252, 260.20261225010682, 262.23490707548962, 262.69084648398785, 264.03585753157233, 264.87937374328243, 266.03663817635749, 266.05950324994063, 266.43390366751885, 266.64172584229931, 271.28593524801403, 272.20354957990179, 272.27539627705738, 272.44992465154206, 273.14689152536727, 274.17277529132366, 274.85973183265565, 275.56040950115909, 277.43280178080033, 279.04175877854482, 279.94049973146576, 280.80766220688247, 283.62251534875008, 286.2438456213257, 286.9717731396172, 287.0987843736952, 288.09392380562895, 289.12566354905869, 290.27523956053801, 290.99956652745863, 291.82456216292985, 293.29513185474582, 293.92211514077354, 293.95147946020256, 294.65810723218982, 295.86631716277606, 299.42980266152767, 300.90744660481499, 302.61093225523439, 303.04908265401173, 304.56292156979413, 307.86090886205886, 308.6783039443049, 308.73321614740695, 309.23746927379796, 311.7103580786723, 312.27849081840708, 312.72749609299092, 312.85055681251265, 313.84201796965056, 315.53932905218915, 316.59345076604217, 317.2037917183132, 317.38110973224735, 318.22499911768938, 318.86150183848599, 319.24461435758872, 319.30590473600574, 323.50624330647128, 324.35116906722101, 325.2465479776713, 325.64717607820387, 330.33838840586856, 332.68048960814224, 333.14936625403647, 335.26863779519073, 335.31563233919826, 336.89899258045256, 338.98254656313935, 339.76855815436875, 339.87138718697673, 340.11299432066039, 342.99264041576203, 343.07679258418085, 343.12546777184809, 343.33165371585972, 343.68092317715724, 344.81435632985819, 345.0493472248238, 345.7213321554737, 345.86116206339869, 348.78544090544733, 349.25624688076641, 349.30405134762776, 349.78203707061925, 350.25237201211866, 350.67525346203689, 351.46535401871341, 351.82009601050595, 352.37408424469982, 353.07802603238929, 353.16706388727641, 355.69328090329265, 355.79126361159683, 357.28506976516172, 358.01576017401385, 358.53998339422475, 360.42966842242208, 361.69615105199102, 362.49763458476303, 362.52840859623541, 365.6218241400893, 365.78448973991067, 366.71586581365261, 366.76026752408848, 368.07218198382293, 368.16275704884964, 370.95340791470153, 371.24652518608707, 372.71998599060106, 373.29483126331564, 373.77586593490378, 375.55979045031029, 376.01006207628001, 376.53761858999752, 377.04762343099384, 377.16403990583302, 377.49575138266533, 378.3252344011737, 379.20093800936746, 380.4781646692507, 380.526768573661, 380.63172812570224, 383.16345398987261, 384.10488631008013, 384.45589745258303, 384.91889555025864, 385.47069416666739, 386.02824949222293, 387.72861572987603, 389.08040131912378, 391.69601977880473, 392.17967608343685, 393.25302620109539, 393.84040130083406, 394.50997497552333, 394.71323300319, 395.33826291182771, 395.36270359149262, 395.71559590822136, 399.36384417278856, 399.91599238442586, 401.06622539551404, 401.32538803853811, 402.73326311340782, 402.97237702997728, 404.99783601578105, 405.40542083678065, 406.14779390602331, 407.70081282591735, 409.33990829982804, 409.58467782257429, 411.33235088677833, 411.87795570396923, 412.59739015074325, 412.64966238202311, 412.83185896857407, 412.88576224636296, 413.18691183430246, 414.53519825051586, 414.85092490300934, 415.0560829720809, 415.59417951640415, 415.7355016572813, 417.28185267275632, 418.31344646186062, 418.33513409275082, 420.06103231565868, 420.27308266836047, 421.61443948735001, 422.21777254792698, 422.49412364558242, 422.69451989864962, 423.54866922403994, 425.69301520787781, 426.93595270597694, 427.27802134742683, 428.59983038146527, 429.81915913699663, 430.28838183195535, 430.38671010558357, 431.4890865393948, 431.75725743116141, 432.05075126747022, 433.07773129211211, 433.77057371795331, 434.8145436460955, 435.65371748558977, 435.6774888390521, 438.35568888197196, 438.74237680796375, 442.91339867110992, 443.00013948714854, 445.87010912249985, 446.74841876568985, 447.08898922408963, 450.96514319550988, 451.78455204442167, 452.04970852138558, 455.42820556016068, 456.05811040422691, 456.25135539790995, 456.73098838760922, 457.02864341460054, 459.92736546143664, 460.92547011890247, 461.09238724731978, 461.95622346500414, 463.20781918278271, 464.42683734698477, 467.04752029183982, 468.43280811082263, 468.46674277087766, 468.69226804807329, 469.50557040955448, 470.15822415818946, 471.37859881518364, 473.96441312309912, 475.05340074893644, 475.51307988349998, 475.66971735509304, 475.8627732480594, 480.22223177127387, 480.28904914473702, 480.76188263965338, 481.66203034777448, 481.82109530704696, 481.84840908238334, 481.97795916085403, 482.07077208984549, 483.00231230442216, 483.93549173153855, 486.69179464384717, 487.04161832305169, 489.2819478205933, 489.56757737885505, 490.38787639354945, 491.20298121861435, 491.52789887098027, 492.92571466959157, 493.154668271746, 493.35149180447826, 496.38806179913814, 497.0518917400135, 497.9442646740842, 500.2530779517806, 500.56994144965927, 501.94289428413992, 506.45321756449658, 506.84133051291423, 507.6092399932021, 507.9538661132006, 510.2494287439219, 510.65792451755379, 510.69900470180278, 516.34401938885412, 519.32363118892295, 519.71307970141822, 520.5985668937742, 520.61987139500991, 520.6725139493866, 521.02968318006799, 521.47007103426574, 522.61330164761773, 523.45934054799591, 523.69393210207124, 524.63748939356969, 526.53783729735073, 526.66152369495614, 528.16408592901848, 528.72517235540715, 529.19560727539624, 529.69175133569775, 533.32749208728001, 538.07421724102574, 538.94509155146682, 541.10998708209684, 541.73131994891935, 542.45751205470083, 542.58380114375177, 544.35888322474625, 545.12284109918608, 545.2354092139027, 546.90759794854341, 547.08498620013722, 547.48040440465059, 549.02515913409491, 549.45471926093603, 550.07553318941359, 550.31186850775327, 551.23001388005332, 551.97008189128519, 552.74502744061817, 552.79906758785171, 553.83873746932829, 555.48664452770174, 555.7624181999488, 556.27714618077448, 557.46310754432648, 557.95732761031093, 560.17970104502604, 560.29996495426371, 560.36641110841379, 560.82617417766778, 564.94999625400044, 566.98963435748908, 568.23695681564118, 570.2977449762451, 570.36512773700156, 570.80701444733165, 570.98735017867932, 572.01565848087353, 572.18543200118268, 572.71257466081613, 572.77961166776583, 573.89826304884082, 574.40703913166783, 574.52270203361661, 576.34094797090484, 576.51591294870821, 577.09955956583508, 578.29369744740688, 578.97003992473265, 579.41164591949121, 582.15199409122442, 582.31019311215118, 583.73675892517008, 584.45503207553259, 585.61879571717213, 588.67651319447555, 590.07099327390358, 591.12063253969211, 592.15512184676015, 592.88061816508855, 593.13622540241875, 593.8149526753366, 594.50860804285696, 594.71900952597093, 594.97312286262127, 595.0357452603248, 598.54922484658277, 598.65135641556685, 599.78040441055737, 601.85681258454463, 603.96252273167238, 604.2479674989969, 604.58549681390002, 605.98655244816928, 607.3569504892597, 608.1669211562579, 609.73411570837129, 609.79997883185763, 610.06708775066829, 610.33233505565624, 610.61866510373648, 611.67363555661109, 612.49852338915991, 614.45294393000529, 614.60774199195089, 614.985324683562, 615.56510165016425, 615.76830451371541, 618.25182499022867, 618.29424557965058, 619.13348013753978, 619.19429429758554, 619.6802840030723, 622.58545854766032, 623.21029213960981, 624.40394876830612, 625.72062299015261, 626.71718297827294, 628.67363410292523, 628.72362801050281, 629.30778293030858, 629.45755999773564, 629.60326764883928, 630.19047091385585, 632.34805824885746, 634.57693242777452, 636.3677877839948, 636.52247679326786, 636.72210100866369, 636.7911229301011, 637.51757718970657, 637.58683039553034, 638.62471445918175, 640.41250671513376, 641.22825193596998, 642.23600685533131, 642.40126035362778, 642.9759468998667, 643.45872981314085, 643.50126322064659, 644.73817749065518, 645.80606806472838, 646.06835598898863, 647.06862828047633, 647.18157806546958, 647.3958995374544, 647.61990101978381, 648.40696803450317, 650.55069362048368, 650.73242495080069, 650.98623121824983, 651.15513696489893, 651.76789625527408, 652.28710765623862, 654.37653092673725, 654.56604460906408, 654.71853280162225, 656.24568691377146, 656.54254475306755, 660.59061384124163, 664.51270333978368, 665.46680058875324, 665.65442226570224, 665.69792569994513, 665.80128816135743, 667.30712562294775, 667.37781903056339, 667.7057544407869, 668.83164205968933, 668.97893094502444, 670.23559713816007, 670.38450074767275, 672.88516912708099, 674.605901600675, 675.60455933552817, 675.73590485185343, 676.24352520510934, 676.69960313605441, 676.84430787793349, 677.40711604806813, 678.25083351040826, 679.19880416880187, 680.10586382934059, 680.44999747675115, 680.7440931868839, 682.42747142190524, 684.11552283473657, 685.98772351158277, 686.69223457650048, 686.82951611833471, 688.49614007586115, 690.44965451683561, 690.62975850918576, 690.80479928996738, 691.12222631749739, 692.75898330696941, 693.45015189680578, 694.49449467530007, 694.78334250447335, 695.77951458493385, 696.49290536002752, 698.25862447583552, 698.88087154649861, 699.53981494672178, 700.04625296621373, 701.0210898696497, 701.62536627289296, 702.0288619946341, 702.4667840899001, 704.47333980941085, 705.94912812020345, 707.76090785484723, 708.67608371693484, 709.77418904371939, 710.39095174388808, 711.92503612807138, 712.56823555604751, 714.09753213389604, 715.54542758702087, 716.49256278533483, 717.41972506314426, 719.49642543278367, 719.5183303535897, 722.04396216165253, 724.51891361661808, 724.64822304424888, 726.95105054572082, 728.07344261874846, 728.17814138805477, 729.47872688987422, 730.26277251765191, 730.82505495159751, 732.32251669269533, 733.16635429748248, 733.23539513356263, 733.8789027648254, 734.39644938552135, 736.01375446788336, 739.71876901901521, 740.53894722072857, 742.55860467532284, 742.76590721875561, 744.79895085392786, 746.59812776191154, 747.45717682498673, 747.73756608049507, 747.92469758526909, 748.34478603043704, 749.55643933465342, 751.53466886150284, 751.99501768225298, 753.19831975726083, 754.72005526878741, 755.35572096006138, 756.94495646951623, 757.85240796528274, 758.41077205412989, 758.98611645006054, 759.99953800624451, 760.22651967429829, 762.69884242991134, 762.97369707818586, 763.17670878413651, 764.43018399204584, 765.54601300484228, 766.66010126174069, 767.02571089484786, 768.12189988925263, 769.4207819653551, 770.84729004555857, 773.61569149633203, 773.84700359247142, 774.60281357733334, 775.37375421858292, 775.63900841113184, 776.86989298281208, 777.71629868889397, 777.83214223625578, 777.92817347433413, 779.39784222163996, 779.48710067430818, 780.9874523008325, 782.9270500112849, 783.08291750269609, 787.134046646613, 791.3097408316894, 794.78656795441134, 795.20877352490322, 795.44867371909561, 796.04317376206757, 796.98176572586146, 798.44047237921905, 800.72864297309002, 800.92291037109521, 801.36339773187979, 802.67063808531691, 807.44164565581627, 808.57445491143324, 809.69783042595793, 809.84788249141241, 810.02275093350408, 810.59711973014009, 811.2927722531806, 812.06356018722147, 812.18246729823227, 812.98486262949018, 813.36604688123305, 815.93359924595609, 816.60711945666958, 816.75172447866112, 816.98487697530265, 817.43204980820894, 817.47900086146194, 818.21802292976383, 821.42188007697121, 823.28377232527725, 825.00062644516311, 825.46118001384787, 825.55852708837017, 826.84495592649159, 826.87589427243165, 828.32946950280643, 829.21209009263691, 830.25799972724428, 831.55728709803884, 831.87377784252885, 834.56775955101693, 834.88115635959991, 836.48878135844734, 837.19459148999761, 837.43008522754599, 838.74526951967562, 838.8657002235351, 839.28749475901793, 841.64396558677026, 842.19144905265159, 843.04389709968916, 844.69747010190849, 845.14165827575891, 847.02405290038621, 853.09623778035052, 853.47026087385484, 853.55994803294698, 854.44616308799982, 855.64936939314225, 856.3492424877727, 856.42473671938433, 857.3810465730844, 857.8055261271038, 858.52563804376541, 861.65571574894818, 862.39936247682419, 862.57462755799315, 863.04773784022177, 864.0864942565496, 864.36972528616684, 864.71191204912566, 865.75113106088975, 867.57270808706915, 867.62276439821414, 869.09128498717905, 869.27364662946843, 870.19958940461288, 871.18789849611403, 873.46592585784367, 873.49196104546172, 876.03928552351624, 876.64602824168855, 878.19156006163428, 879.29667223734941, 879.43600695550549, 880.41722406829297, 880.57738694780016, 880.63693098381793, 880.83383021324971, 880.85500568819657, 881.23024257756265, 881.42354655058284, 881.49658007896403, 881.73205795811589, 882.74297798379985, 883.10309892274211, 883.26635959180589, 884.15868660190336, 886.00811876144553, 887.73961041867403, 887.81056623692314, 889.53064586827463, 890.59480754355445, 891.58254258401348, 892.33485880531885, 893.67180250139506, 894.1310858258546, 894.4061701162866, 895.14048265329052, 895.54751816848727, 895.97635650600455, 897.0146119080963, 898.60053747623624, 900.39404628103159, 900.57770383284094, 901.99781844340146, 906.20632657398232, 906.66041780226681, 907.00683313994466, 908.52674737826726, 910.3466009355468, 912.16077074738303, 912.49326861427005, 913.33304736334526, 916.4442463084722, 916.8644186368881, 916.92446518017584, 917.16523400160247, 918.01547421121461, 918.19178221040522, 919.38558016764136, 925.02699465446904, 926.73332574334017, 928.58928078825238, 930.82130052270963, 932.12505602663794, 933.70008341700691, 935.30415075368819, 935.95387191806014, 936.1029665664056, 936.71646954999869, 940.59178871617667, 940.71644194239354, 941.38235223461152, 943.68263279911093, 943.80048775317152, 944.74362061229829, 947.62666490169431, 948.31618882207954, 949.43728659354099, 950.02921833844232, 950.82896777059761, 951.28843893365661, 951.44354345984959, 951.67124326266992, 953.22241524211336, 955.86292932866388, 957.07779348128884, 957.13372469537342, 957.59271646961463, 958.51045957222345, 960.19584548546345, 961.02239261820421, 964.09648622003601, 964.27414435922469, 964.72124457495465, 969.58474926097676, 969.65075359899515, 969.83566891838552, 971.5388398136397, 972.22799053188078, 972.28696654093062, 973.13219170543607, 973.7313987616335, 974.41154213371919, 977.59935895544299, 977.75876271455684, 978.54356639750279, 979.88837372129524, 979.92509549596718, 980.30481174039073, 981.05984195540816, 981.17292474384965, 982.69425159256434, 984.01157216302545, 984.15259589827656, 984.23681884295308, 985.09239773970103, 986.10495384888441, 986.30186459614595, 986.63891003990284, 988.38949340943861, 989.92361976597999, 990.32403100078079, 990.55683423060032, 991.69312319871801, 992.48211413253136, 992.70187207405002, 992.77126755740835, 993.45221316592244, 994.22990112082027, 994.97659512547273, 995.33625698305104, 995.87677809896672, 997.17020723408928, 997.86197820523216, 999.18646766766722, 1000.691483677931]),array([83.513609326408272, 83.808167899356135, 84.115268539677558, 84.281878701879648, 84.863831280816797, 86.895177692307428, 88.184817050798301, 88.576432539373187, 89.277631677036965, 90.673251353623527, 91.15823341021661, 91.837791605357424, 92.278218280733711, 92.904587717475295, 93.485726190833503, 94.05466343510453, 94.364437607375294, 94.570659381055933, 94.948533359750442, 95.257403648630458, 97.838249064669711, 99.809911663012514, 100.82693957989787, 101.69520670173395, 104.70661300794579, 104.75565843761613, 105.07296817671291, 105.86396223238545, 107.47176751966055, 109.92977450549101, 111.27694583863483, 113.26352729154291, 113.52956340337512, 113.95983273127598, 114.17556544058887, 114.34180559827119, 116.25503253088232, 119.52695432774928, 119.79661745751554, 120.13735258728592, 120.7559038537656, 121.17080400338043, 121.51252927029402, 121.56225130821872, 121.68198319659948, 121.84476409700628, 122.71114478787881, 122.79273508137481, 127.03099994322228, 127.06833218501198, 127.5831590861558, 133.73429040901516, 137.0573830276339, 137.93719611855553, 140.67661749357987, 141.78964320427505, 141.82675917978096, 142.95975726331179, 145.21443344821284, 145.72576062805001, 145.96088989016968, 148.25108311400695, 150.02102781938225, 151.09026656993854, 151.4332994739321, 153.22729142180236, 154.80820512262821, 155.16077433122052, 155.74765749314602, 157.35982397282245, 159.26665912075984, 160.3489060540974, 160.4102513950709, 160.93387346480637, 163.63693203455196, 168.641340451188, 170.59333567839877, 171.91122323089536, 172.02163289772531, 172.33194226719618, 172.43770822917642, 173.34501821988982, 174.23546479026848, 174.96680667263354, 176.00518245751806, 176.9186982915981, 179.07503916558628, 179.54787588619865, 179.92270183240791, 181.54839395637288, 182.15082003721426, 182.78036474202307, 182.95271613650411, 188.14381295056907, 189.06295817444465, 189.18188243861789, 189.81224308620719, 191.37600891152306, 192.16604243370892, 192.23598158557502, 192.82235280895952, 192.89159004573966, 195.0213309818038, 197.01000158496856, 199.13359076279787, 199.3001061459407, 199.33692009635183, 200.69848400052265, 200.83385770457474, 202.52316290942161, 203.16143157223783, 203.29944808247186, 206.09261961102484, 206.18545601662888, 207.97467890086716, 208.19404805493008, 208.71300081700045, 209.20011690261032, 210.24718246447304, 210.42820975039712, 210.49254465449042, 210.61528920974587, 211.15090315729717, 211.86131549141513, 213.11462519177203, 213.79510282960155, 214.32616187620164, 215.8418034991756, 217.47957507504407, 219.03633961910842, 219.22462790422992, 222.06359582125273, 222.62777996908895, 223.64657605111157, 224.63483626596923, 227.2728083595577, 227.5439716492784, 229.07669070686222, 230.01247546263184, 232.52689825329657, 234.00386806769814, 234.15639330084704, 234.93124645817045, 236.21962245577663, 239.78958086051782, 240.33930498428967, 241.68893913653389, 242.54676908367992, 242.78183636729301, 246.30756623209308, 246.83898033534527, 248.81455148003718, 249.49841736748525, 250.42140002764512, 250.84682523683952, 251.05500992583745, 251.27240055766819, 251.90116341237444, 252.68140105380954, 253.79259550032512, 254.11375328893163, 257.52730490631546, 257.74562625258551, 257.94194850818621, 258.31727759049602, 258.65486258367065, 258.80576613929782, 259.8207999824233, 259.98116422843111, 260.11907530703957, 260.6092940068902, 262.23410000185999, 263.21877914523577, 264.59383624500776, 265.53261802248068, 266.51391313521049, 267.23663653399609, 267.44884647126042, 267.65808786164246, 268.4050659886646, 269.5331504497496, 271.67033247637704, 271.96708948542999, 272.71450993178405, 272.74880290555728, 272.88078360640503, 273.70209184056813, 274.00201908740428, 274.39994070106695, 274.60008726245553, 276.38426380222222, 277.7984190494775, 281.35095606893185, 282.67315346309732, 283.20284928240773, 283.82476118743847, 285.22126573379325, 285.44632360632011, 286.94404902693287, 287.65443452692432, 290.40779354003115, 290.79850431017042, 291.48542028408565, 292.41801397534255, 294.09763098061518, 294.50248307954905, 295.60655773371587, 295.6415546840521, 299.43203255169118, 300.87500164576704, 301.29651584949045, 302.24970073170653, 302.73218002287672, 303.84779939098473, 307.38353708374882, 308.27715435061702, 308.36644619845544, 309.58513660472454, 310.3761055653116, 311.06147301251798, 313.47558071730055, 313.65912477453122, 313.83785259804563, 314.26145576120035, 315.07557150352505, 315.53339310734873, 315.81964446585346, 316.03586305837399, 317.01231595394592, 318.45419103731854, 319.60119758491237, 319.92909097070105, 321.01521798540466, 321.04096879644817, 323.302662340984, 324.46237413827004, 325.13364001680117, 326.37370797583293, 326.59454450392536, 326.63059853786598, 327.23311585985084, 328.12304643814008, 328.48010674784894, 329.20045974416661, 330.46226771438688, 331.35974479980678, 332.58041265476174, 333.46079871942129, 333.76603383073365, 334.28760972467376, 336.66184624269425, 337.89120862808494, 339.46002274742625, 340.00452654739354, 343.80853008822311, 345.00234860787049, 347.4930939372959, 348.1421500317399, 348.56771405636545, 348.78380991920727, 350.87027061451312, 351.46475937197135, 352.36693544861816, 352.77792804072516, 353.59339902930867, 354.06919652933135, 354.66114380310114, 357.16523826837368, 357.45818156756798, 357.94001203746433, 358.62128388896326, 360.64689387614686, 360.83614882081571, 361.27998886793603, 362.6116054469436, 363.33761011363441, 363.40489065810596, 364.30890845257403, 364.54760232476553, 368.5342239844511, 369.68055213223738, 369.70239166692198, 370.30668765855307, 370.56012263159573, 371.33466395238599, 375.75125795942358, 377.86215056963863, 378.37557675909392, 379.34792051005007, 379.42885798231237, 380.70492209981086, 384.10435020194461, 384.14267975995966, 385.35054009733642, 385.46393769818525, 386.95427789827028, 387.84146067465298, 388.39693287287537, 389.81665578668998, 391.38388768198598, 392.03279839435942, 392.60670094144507, 394.86183971008052, 395.05191589784368, 396.59334736520435, 397.98210236662885, 399.07874683822769, 399.24695994623949, 402.12820266461085, 402.59799084822026, 403.97091381429692, 405.00864373584443, 405.20452828386624, 405.63448029593951, 409.04322335040484, 409.18594327749264, 409.97947531776953, 410.13019071427522, 410.20522057897153, 410.99059583401277, 412.54988777449728, 414.90414984034112, 416.73190949329563, 417.01259481698139, 417.36261171798202, 418.23184921832171, 419.50192204599335, 419.62960551678293, 420.45955962206648, 421.98405283506673, 422.379882621349, 422.4505579237611, 423.17666589691771, 423.89459012446423, 424.50247753675376, 425.97756773487004, 426.37434135940453, 426.83320891084071, 427.98204508460009, 429.03910067117795, 429.58734677315141, 429.7667165248825, 431.26199584366555, 431.3395642037159, 431.51593166301791, 431.64424411270471, 432.3394901659135, 433.51343729532425, 433.8522119304057, 434.13464124092212, 437.09713498791513, 437.50516183559222, 442.2170944142764, 443.05525661971006, 443.34778567591547, 444.48336698922293, 446.16753784055419, 447.64262143021841, 447.84857979473804, 449.40446166639492, 450.89591672005082, 452.6217092708182, 455.1193306565462, 457.73554733081113, 457.87808987419385, 459.56951938098905, 460.17906977222373, 461.06330646448987, 461.23425572466385, 461.3623743297959, 463.24977052493728, 465.27508701853753, 466.00140102850946, 466.95544463704687, 467.05199534867103, 468.24539306457757, 469.47749883956646, 469.99070911635312, 470.09456269438095, 470.5500968879528, 471.05282297637297, 471.19771300832588, 471.41260629199434, 471.54610269460687, 472.68227541796779, 474.31727558348661, 474.63954003419587, 475.48528444541796, 475.79332116024159, 475.81974290795353, 477.0400978567485, 479.5622695261028, 480.66133965096276, 481.95247200360393, 484.42713466978563, 484.78108555874502, 485.41171665612626, 485.50627517405036, 486.99785054206239, 488.50804167164983, 488.71161982694844, 489.59225126664489, 489.81163365653646, 490.46789311416666, 491.15624137229133, 491.34812460463621, 491.89531661586744, 492.55390375457313, 498.01348521915759, 498.22927350592568, 498.53801377182504, 499.92697147804887, 503.14508843508963, 503.66794436492546, 504.89821840513008, 505.20690724590935, 505.5749759418386, 506.25699764266875, 506.80224081926588, 507.99058035944307, 508.68262056780327, 511.82862003972696, 512.18462653642143, 513.26263348171312, 514.28113277731018, 516.20253484779107, 516.71125569283208, 517.24406425515645, 519.24838017973968, 519.71777531020371, 521.20836028714916, 523.22130747151596, 526.10073706317144, 526.9912264682647, 527.62669078759939, 529.14895824285441, 532.86336997239141, 533.03316859850258, 533.66274798858547, 534.65812304902045, 536.94036418605742, 537.14792015956868, 537.61070317953568, 538.70643993189344, 539.37655581585079, 541.90210207223515, 542.41725068306175, 543.69306337897922, 544.66632803045013, 545.13108251909227, 547.22094252112231, 547.42662488410679, 550.91746067651206, 551.05740237138991, 551.32766168322576, 552.50927857926183, 557.356531838862, 559.53475251430473, 560.92616977497744, 560.97729727147885, 562.07881654715868, 562.54090411596883, 564.43678810794825, 566.11029235928333, 566.80484934899323, 567.35116196259605, 568.17978789223002, 568.47028440004613, 568.80640069613446, 569.23312676974433, 570.48964397165832, 571.09268066079835, 572.09927427774903, 573.71734390323536, 576.58284639465683, 578.16865090056297, 578.48823067417231, 579.10468320250936, 580.9864925069561, 582.28294334476539, 584.47572504214668, 585.46883872038245, 586.77119086446726, 588.33524720986861, 590.49398474853047, 592.20592149798665, 593.2778342880888, 593.52061130048253, 595.68110284736792, 596.05257379005786, 601.20673178248683, 602.10317614977748, 603.05430538477231, 603.11438975584394, 608.0664682436809, 610.29461481942019, 610.39872149337543, 611.45221737156101, 611.64409527433861, 611.85420417486819, 612.46961617806369, 613.95178782000244, 614.25923994248126, 615.03531027293366, 616.19519753796396, 620.13191852778709, 620.38487318160981, 620.69885735205355, 623.19275238292482, 623.25943549009833, 623.84328503661584, 624.13903113887534, 624.78624211342469, 625.59843715302816, 626.90648906466458, 627.25467234758844, 627.44973063220516, 627.8106033831167, 628.78344166091188, 629.72926246289398, 630.7729591202982, 632.23565307454237, 632.60982101003674, 633.3903228189431, 635.46153659856532, 635.50763661861868, 637.79113716352811, 638.60634345656979, 640.31318054694248, 640.76725618404441, 643.35248496032489, 643.48090146558911, 643.86765430966318, 643.94281292730489, 644.22240184870793, 645.015464861282, 645.97139978445352, 646.87814242030515, 648.00853001894166, 649.03579301548859, 650.50923538650397, 650.63948595699492, 650.94777407620722, 652.62130566563303, 653.52891982422182, 655.69434361380127, 656.11998462926385, 657.64689650513174, 658.75865156312818, 660.03618235937358, 660.13195740386504, 660.37875601600206, 660.92749044809489, 661.15997317565825, 662.38308767674766, 662.72824786558624, 662.9397828710172, 665.72816952286144, 667.60909802565993, 669.28120964755669, 671.95086238313399, 673.850979619687, 674.83102916423206, 675.26681698369669, 678.21853351866127, 679.71181947477635, 680.38251705053176, 680.47210918456744, 682.36555457479574, 682.60322746592647, 682.84029694854723, 684.49461837765773, 684.81086988734023, 685.00255152361706, 689.21228972569122, 690.37014989430827, 692.62224253798479, 692.64605110132368, 693.24731168431117, 694.86240135846151, 695.00248679396975, 696.34709578950628, 699.37976444721357, 700.79669775329558, 700.84336007653769, 701.31479311609542, 701.88973930842201, 703.41104860645123, 703.85775726433985, 705.22202414340381, 706.2373392006773, 707.37373904426443, 708.92142681509824, 709.58333130341919, 709.68335129631055, 713.62331191404564, 713.80462933959313, 714.50324293880431, 717.23629053887407, 717.38065556170034, 717.56989056241912, 718.18851291214116, 718.96707900969864, 719.17981719851753, 719.79340723645987, 720.5910600993476, 721.3521694344588, 721.40592708761733, 722.0736089497243, 722.87217316879139, 723.44538335472237, 723.98676617350088, 725.68667975476455, 726.52068301212012, 727.02108589853754, 730.62044993446602, 730.8540292855364, 733.08934321521019, 733.35386959989012, 734.11685472558679, 734.26057631712433, 738.45466025383462, 738.90927639709662, 740.67251262880495, 741.57193305350609, 741.86482506721939, 741.94543879486434, 742.32555054687896, 742.63288412040049, 742.82694370434956, 743.43563390747545, 744.00655533359827, 744.92622335074748, 745.1021428421476, 746.73758098043481, 747.12960639587914, 748.85363130510223, 749.27023517099587, 750.40751766122719, 751.47867598298103, 753.64576806914238, 755.18969472795447, 755.29059387441782, 756.0116744502393, 757.27514992849865, 758.08644120849601, 758.54653557223514, 760.33053531868723, 761.42317723844769, 765.36552158311144, 765.88339427494748, 766.77645619885129, 768.47921466216189, 769.68032450393684, 770.06298043874267, 771.15154654112814, 774.89698075273225, 776.17809045375964, 778.18884295837006, 778.22649516273043, 778.74869260609989, 780.42517606247179, 782.04894120632594, 784.18375245547463, 785.04317839950443, 786.10451200686612, 786.87367326236802, 787.984921713527, 788.91220707117759, 789.59175005473833, 790.28859732402225, 790.66555221155704, 790.73286757013511, 791.82300382480514, 794.7041021512531, 795.70572551471059, 795.73288260140021, 797.10818158082634, 798.71584067464391, 798.96588725148831, 799.20541905634946, 800.63539649670417, 800.75514525486756, 801.47335002095622, 802.25138082894171, 805.69173237538803, 806.04098323908124, 807.32421882832853, 808.07577618819641, 808.11339758340273, 809.57615311683412, 810.35344207040851, 812.03607588267027, 813.69004000596578, 813.94285110858243, 814.05931876324235, 818.22939966196941, 819.13586805537159, 820.05313000903038, 820.65679358129319, 821.64497867936973, 822.38778913859721, 823.59532424692406, 824.8938361147093, 825.95007320614377, 826.64953991257039, 828.28247781197842, 830.60471939680178, 830.78207295680681, 831.27289244901169, 839.55414931852545, 840.21263624299695, 840.86175971056332, 842.19729086519897, 845.07974782158692, 846.23340197232324, 846.28413642218186, 847.54077085355152, 848.01298014921997, 848.27871331340805, 848.88735449903959, 849.68878055066079, 849.93193306189357, 850.22815532265395, 850.33872882615219, 851.97049732339906, 854.45723488404531, 854.78734208154867, 855.26616573522585, 857.86135038396219, 858.90025924433223, 860.94687128919804, 861.62552224564718, 863.89368684680653, 863.95637501617739, 864.50616961045898, 865.57518050762587, 866.44487724190208, 866.87801318971765, 866.94924870374962, 867.42858737055883, 867.55054271536574, 868.53142407045812, 869.40149978926104, 869.69015179707264, 870.4117538266496, 870.63309157089145, 870.72718188615545, 871.00822584811272, 871.74726653744392, 871.83573131809885, 872.8969512391833, 875.95018436241821, 876.50411535454259, 876.62647877707639, 878.11523380835251, 878.84777158566851, 880.1831585200581, 881.16596206603219, 882.6518778282383, 882.8599897171033, 883.78531301000999, 884.75669319118447, 884.78521133316087, 885.95152595847321, 888.26673132961503, 888.66428690956366, 889.75368964327561, 889.84315700781156, 890.23188865163036, 890.8381517499048, 891.55388006377439, 893.85441657201329, 894.31715652004732, 894.94776713735018, 895.06173804436969, 895.35583392232184, 896.0423618106131, 897.82030972665018, 899.52807331270856, 900.85803548445494, 901.54437687699919, 901.61128660447503, 903.68543615076123, 903.99022992125015, 904.2081799463291, 904.39636833565271, 904.59119273278657, 905.383788740824, 908.15458668141434, 908.78364677827244, 909.15937940325466, 909.56258692308768, 911.8711158616652, 914.21123208199572, 914.63969121322373, 914.76238997032317, 918.95075340030451, 919.96512262874853, 920.06951725494628, 920.30275218970746, 920.73310069251488, 922.63922403037839, 923.03103212178394, 925.57203968472982, 925.72630534327618, 926.04078797397324, 926.46868426672359, 926.51689444075703, 926.63890175693757, 927.22475842423705, 927.61390891780809, 928.98909996256009, 929.47176965236849, 931.16066221016217, 931.25970391904116, 932.19554014887456, 932.35923584044383, 936.56676481874831, 938.92059605803308, 939.59037252221026, 939.94576784166782, 939.97953179092485, 940.25031094152894, 941.28898076325981, 942.57626374482356, 943.49287951362601, 943.77705502531433, 944.54364794432377, 945.16958572561452, 947.85611103373242, 950.39732827715454, 952.03903708632015, 953.17233756444614, 953.49965432260444, 953.69858741499218, 953.97993880252193, 954.23336298048559, 954.6661422707557, 957.08598572960068, 958.35639817497463, 958.46147848682517, 959.21300214049847, 961.07321722123424, 962.43341745018563, 962.52968988882981, 963.38374608260847, 964.02072094573623, 964.8241308679618, 965.81584513943824, 965.88139206149674, 969.16601123129169, 969.54028437080899, 972.42395892458114, 972.45404514829556, 972.82700980593688, 973.87580003022197, 976.04985225724329, 976.90378426385132, 978.23382462623783, 980.36365221110407, 980.71461043788929, 981.30229841646906, 981.76738477870038, 981.95716732817198, 985.2308772988157, 986.18535561241822, 986.98816067691951, 987.25784674609326, 987.7073790120179, 987.96614861480919, 988.60581708924826, 991.25745346392046, 991.50073221718924, 991.52546519894372, 991.99342279963457, 992.02305209013934, 992.13526007938071, 992.38594045577133, 992.67014407095508, 992.7107666839712, 995.07657443213998, 995.23356092548738, 996.73726096697828, 998.79065106603809, 999.261739153853, 999.58367563293984, 999.68243035769694, 1001.7062759553187]),array([65.846248673150214, 66.273152412912424, 66.322664731138872, 66.420508390764354, 66.836330967043608, 70.886745789231526, 71.468192369061654, 73.929838066585503, 74.406079573859955, 74.928163579379259, 75.524164725241263, 76.865755814891571, 77.926950351538579, 79.254731398979104, 79.805200945707455, 80.0795698784151, 80.211065768459591, 81.038017680721453, 82.480746778771305, 84.858651342336017, 85.722186678578467, 86.153482515611216, 86.220431392908353, 87.493937432717487, 88.601219916136117, 89.190948495303729, 89.242182637917693, 89.51317346156749, 92.161771680900074, 95.338386149968755, 96.233848373435535, 97.318841086818026, 97.737857021564693, 98.667498447114838, 98.72120222644665, 101.0160822888439, 101.04136925931515, 101.9361192235297, 103.37250323525959, 104.4142017100781, 104.58161436764995, 111.79662304877098, 115.24911953685674, 116.92949178590254, 116.98651894161549, 117.6068751754852, 117.95375406011507, 118.78682016074649, 119.6135711588301, 120.48100826421489, 122.09212951008811, 122.2559043983665, 123.70173451205868, 125.07938144993884, 125.1070978772246, 126.02208593312156, 126.1528752529366, 128.20611969327661, 129.30431482101892, 131.10888388589956, 132.46278536511161, 132.67621707825691, 135.08726061976751, 136.10543756692846, 137.50103697002544, 139.19419017551499, 139.88143847263768, 140.2817869062217, 140.69563671650403, 140.85349554391098, 140.94435894012869, 141.64954836905571, 142.83176844367617, 143.90341653450071, 144.73414197139118, 145.22933270649128, 145.59806502853598, 146.75377958325171, 148.05724993273822, 154.38418963551797, 155.47019103660307, 155.87548701683323, 156.80968141090639, 157.2732461129568, 158.67894748840001, 158.84002234631799, 160.84197679238642, 160.92264749423896, 161.01504294879712, 161.26469207966707, 161.94445132928197, 162.25948377010909, 162.83147068528598, 164.15722867518059, 164.78853114497574, 164.86022574661462, 165.43985246298595, 165.53865739777487, 167.69698755296901, 168.9372855521836, 171.93856059959387, 173.76983140490799, 175.74281199860019, 181.20520035860164, 183.8586025066067, 184.84429152265358, 185.0196878892913, 187.44932908790932, 188.00946929305479, 188.05529262920732, 189.35442294748012, 189.51596688936368, 190.09606088351467, 191.3611541404598, 192.3045608438652, 192.691686153636, 193.39695930569124, 193.85204463856948, 194.40786981284791, 194.46603693320756, 195.65676528574318, 197.42036298093652, 200.59695292879118, 200.94771801309486, 201.94774371275395, 202.69499128438301, 203.05226095097314, 203.17731445138517, 203.88558290433355, 205.83561744820526, 207.2054450487542, 207.56800851776111, 210.09532102751953, 210.95979035877272, 212.30651927346375, 212.86743151494241, 215.81996392548893, 216.66322732967103, 219.47333409740574, 219.53111663530231, 220.62132735489877, 220.79074125497945, 220.84704472788218, 221.08774029139232, 223.2886469626647, 224.75264540013231, 224.8509304100954, 225.45918556719383, 226.24833405699439, 229.0638457847638, 229.33001634902033, 229.36765172624001, 229.87119196306642, 230.0946058453882, 230.43079398426579, 231.60947515803753, 232.07868073472491, 232.68310347453172, 232.94697840393206, 233.19661507567446, 233.8515288478942, 234.78120882933973, 235.98830558309993, 236.67202046824502, 236.80418142712591, 237.2771593993028, 237.47528453154109, 241.45146366151587, 241.50328338756344, 241.59273630738795, 241.89643297578775, 242.91010934413242, 243.12845221047957, 244.62403944704388, 244.67679978845786, 244.85239374751791, 245.96333857636321, 247.48771049903823, 247.64694919468468, 248.35506787701638, 248.42822359125861, 249.10292851516766, 249.27856631706109, 249.66803128885579, 251.46472049596323, 251.89373549416868, 252.84862158412099, 255.6335435781651, 255.77252781965316, 255.82124954812261, 256.36376844153369, 257.27970378068352, 257.58454552130303, 260.73013234323184, 261.41671110855356, 261.8586096297289, 262.47604702241176, 262.76230733285013, 264.00946794975243, 264.75433639432896, 265.06775383413867, 265.78692918986224, 269.37137756844481, 270.64111905947362, 271.00835910608987, 271.40441244237928, 272.11902959102389, 272.30585244967665, 272.40080472346847, 272.49196199368123, 274.62358880955077, 277.2026881357134, 279.6835533930003, 284.18737429930866, 286.13236850402762, 286.57831671965073, 288.57606732430264, 288.90847434814515, 289.3612024503721, 290.14607132485366, 290.34598951596416, 290.77845109911129, 290.83144266145456, 290.86212734905445, 291.27389373582582, 292.38917757055106, 293.16533379470809, 294.40282659375094, 294.60783614449161, 296.09580468544016, 296.78304912444673, 298.91008756537593, 299.26713373415703, 300.54384872739951, 301.71686397433615, 302.39920521286234, 305.54638067446592, 308.69056423818188, 310.71987072104923, 312.47405625528938, 313.89317222761184, 314.03861204298875, 318.15984839279082, 319.3636584244602, 320.86547132962414, 321.86935144830119, 325.03912290632195, 325.65239980431454, 326.90220310142746, 328.12154425323479, 331.07735325467917, 333.25978113171425, 333.46454012555978, 334.39263127532888, 335.33309685245325, 335.67948805459179, 338.20750941927093, 338.27369164904229, 339.67974223801917, 340.22240579684552, 340.25943206043871, 341.23717907577071, 341.60923848259785, 342.3042827136066, 343.75477425303876, 345.174217566057, 353.71657033525707, 354.88655053504317, 356.15167434113636, 357.99387055130734, 358.45005422630965, 359.59344801060644, 360.81043877836004, 361.66202976083514, 361.7301440336762, 363.73245110328673, 365.19283877849665, 365.96660775897232, 366.79319668581257, 368.18655516192382, 368.53951289400555, 371.02548964320022, 372.68565244844581, 372.7303889468792, 374.00315623154603, 374.16546199049014, 376.22409280876133, 376.26172396777434, 378.29995718534565, 378.48382964782218, 379.54296225104213, 380.63133297165575, 381.78894957153477, 382.32096203753429, 384.54557007993276, 385.30180658319227, 386.30219882864617, 386.69804273390815, 389.06329705081021, 389.14680275317926, 392.06820028842543, 392.15757468860414, 392.24090667390743, 392.32477681910365, 392.84719897664263, 395.07265565715568, 396.61783491740528, 398.72668887195749, 399.19963008162364, 402.5721645006214, 405.74066993885657, 406.34711792175659, 406.90685851564456, 409.97472850676814, 410.13923298061604, 410.90910191705797, 411.11465684965123, 412.11754659635892, 412.59477667485748, 413.52386804774818, 415.88806459790317, 416.41454991764266, 418.04216138476403, 418.49205217489828, 419.02994723599642, 419.23926140020404, 420.32650564553228, 421.16014181109978, 421.83930598247343, 422.77771504382031, 424.34027026198271, 424.50098979042531, 427.56144455937749, 427.92305987211631, 428.17020295929831, 428.9334975035639, 430.17163197160812, 430.62340706331366, 431.49282491742844, 434.29991489787477, 436.70685601610273, 436.99647930540766, 437.33581288755676, 437.47967171217812, 438.7458168195019, 440.87853409424633, 442.07835102578895, 442.48281319742222, 447.21854598308568, 450.87434968379137, 452.23648811638691, 452.68017336900635, 453.57287992048606, 454.04995980559505, 456.01507238881948, 458.3463091576138, 461.10113598128385, 461.25736269348477, 462.40117734594213, 462.9301332312009, 464.07911695656514, 464.47225286380268, 465.27276350790231, 466.0754619596363, 466.23992051690084, 466.59501972061474, 468.8073684988538, 468.92079189107704, 469.6886142255978, 470.89455022592335, 473.96074360369431, 474.90663521304197, 476.21209832503018, 477.63822238675573, 478.68488400316619, 480.84067217101045, 482.77024339411901, 483.27448589404014, 483.80942945872374, 485.22288643765921, 486.11085210435783, 488.49710601601419, 488.87120421187893, 489.54166284069635, 489.66797662551932, 490.89107573015156, 491.30589723000907, 492.99469095305955, 495.6211269398031, 496.77114603182406, 497.19625126151641, 497.89009302818926, 499.4867022621163, 500.64284726753459, 504.64532418828691, 506.17662482926886, 506.81339408211977, 506.84766645837396, 508.03543469646905, 508.57837796482124, 510.22373439566525, 510.89710224955957, 511.2501142860973, 511.60133623146663, 511.64191579830481, 512.44890496742141, 514.57511510820279, 515.79524444494371, 515.88971560246512, 517.43575619471449, 517.57434892967751, 521.91712901961807, 523.6019309671691, 524.67824975631549, 524.89679598265911, 528.66617386639643, 529.30912742806129, 529.40213074143037, 531.14911332377778, 531.32555569665169, 531.84532922529877, 534.0126798121396, 535.03392450603997, 535.99516421452745, 536.62429137014806, 537.7203867485988, 538.79302977527607, 539.80023392349801, 539.84312104163394, 540.1752232765383, 541.41929938420958, 541.93941359884866, 543.5071611659863, 547.37144474938282, 547.83292850466933, 548.16103431727981, 548.21291391326361, 548.58853165209837, 549.06953760030308, 552.19049614692972, 552.26459800070393, 554.08216452934016, 555.52779534458602, 556.51069369332436, 556.8572731399978, 557.62082998387825, 558.9619700852669, 559.84648776337588, 561.72520759608676, 562.71016292161482, 563.8417732508949, 564.5134457703524, 566.86735028701719, 568.33248027202217, 569.77837609654034, 573.86807637166237, 574.51284056152781, 577.07364824346894, 577.19392093847966, 577.67250446130663, 578.01917943430351, 578.2198884404188, 578.97050391791868, 583.12807497558231, 583.3192900954881, 583.65504572555631, 585.25616308776193, 585.62471705155554, 586.14002647245673, 586.64692314710032, 588.31536350508725, 589.31863524148662, 589.82978755321642, 589.97321784528049, 590.67372144009266, 591.09347343728268, 592.06420834026915, 592.22768202153657, 592.31231536344399, 593.82214022619723, 595.96677824118251, 596.45892250971519, 596.73200474404894, 599.6447444452449, 600.19685288118933, 603.57280399358649, 603.64283372715067, 605.65077379075785, 605.9481651133699, 606.67384332942902, 607.1989088024618, 613.05676322350166, 617.69882057455027, 618.02289663434487, 620.10287071029336, 620.44170436664797, 621.68284763009831, 622.68854334007221, 624.60906959851775, 624.6956149598783, 625.40500418879788, 625.93426612623614, 626.28184556835561, 626.51211461967046, 628.343330216391, 629.58752680926955, 630.64936578553215, 632.07695678375035, 632.44585709722287, 632.91903947749222, 634.92569799347075, 635.08746571506322, 635.24667552580797, 635.93523352242892, 636.02048676457514, 636.51709057845983, 636.68686716948525, 636.88023707012007, 636.98512068847151, 640.42872034734989, 641.88068435558716, 643.03563699032782, 643.20317781487131, 643.81920811464704, 644.03609470325728, 649.04629717615296, 649.33509666877967, 653.17716509247123, 653.33716137902252, 654.03362975591619, 656.6848046872002, 657.17060041138905, 658.52331243619665, 658.60115680179524, 659.73705186357131, 661.50279359441936, 662.18889152295719, 662.34622932459104, 663.06390007286666, 664.23233455635091, 664.43013982351988, 667.21520169398968, 667.36451505836305, 667.77744436877424, 667.90146916180845, 668.88706445849061, 669.34380305853017, 670.95269857526284, 671.11719714569381, 672.10745859486303, 672.36843480588141, 672.77425434354427, 672.92213825833824, 675.16941684969697, 675.84947709814082, 678.55497668763837, 681.29514607902252, 682.8622389909475, 682.95052927158338, 684.45640666746715, 684.52977651730862, 684.79456038547869, 684.91618107993531, 685.46243078387306, 687.75419414870112, 690.69728338098014, 691.87877587446872, 692.65501827605488, 692.67795813517705, 696.13512715452339, 696.66580788522833, 696.98873148331279, 702.02219392434449, 702.32422932469899, 702.4569681872315, 702.51895628279271, 702.79456822604561, 703.59103476406403, 705.39465038015362, 705.6394367117889, 707.19216074672261, 707.30746765520348, 707.79091938792226, 708.66663968771252, 709.23230993045217, 710.4237582642786, 711.43156742642964, 712.11200648806471, 712.36698847392222, 713.38554907901209, 714.44973671342132, 714.67352843886079, 716.83666186337553, 716.91247368890902, 720.48675163030669, 721.6160366565008, 722.13133477805945, 722.563460913992, 722.69776376150412, 724.21757740553585, 726.00796526223371, 728.43681735844473, 729.36666215510411, 729.7850843663158, 730.66564584847617, 730.97204228511191, 732.42169572478804, 732.95612149758006, 736.54772591934227, 739.5493415544795, 740.41975621878385, 741.51673938442661, 741.7545873672924, 742.26433530859481, 742.5830338016001, 744.19824350034708, 744.55409286979375, 744.74907061858562, 745.11470765563445, 746.28797063363277, 746.46642433120439, 747.44695006324071, 747.66045425703146, 748.70107606023407, 749.82877413493873, 753.55398171305603, 753.68009219509156, 753.98769375155439, 754.03116107769108, 754.14583427815205, 756.67161520000104, 757.52727616525522, 760.19262791848905, 760.86580253874115, 761.47932853158841, 762.60302564307403, 764.04746361031926, 765.26015865313616, 765.62719214853519, 766.87714093555405, 766.97270758874288, 767.51863334766597, 769.62657378234758, 772.95145100936668, 773.97777977715373, 774.41466218264497, 775.35083225188146, 781.25656386222647, 783.28056247496477, 783.3082509734279, 783.83101768770939, 784.50622253151892, 784.57773425753646, 786.50777176145664, 788.31485215551834, 789.51574933955999, 790.74947703308999, 792.09319555849606, 792.7717430073684, 793.4779553070141, 793.78319919094452, 795.00833126153793, 796.59654548707454, 797.66540211570975, 799.00555332765282, 802.46761346003927, 802.64952085159882, 802.73243874690741, 803.4299595527533, 803.77851263364232, 805.08741230114515, 806.15882963105435, 806.81084951210676, 807.87170459827769, 808.16049166214646, 808.65923682721348, 809.18309224567372, 812.83237693205638, 812.90856756267817, 813.19932137607816, 813.29697699699477, 813.32607021320928, 816.67304746648915, 817.07290337512131, 818.90809992259688, 820.25017405262645, 822.58934788008457, 823.54590595446132, 823.69535407598107, 825.34150315742511, 825.84108966506801, 826.4016132312795, 829.75630121152381, 829.97322343150108, 832.62609697861842, 833.14066775754452, 838.21976812832395, 838.38217637508751, 839.00669398819571, 839.58809234367118, 839.7598227014056, 841.25944127948208, 842.00011581544913, 842.50301270160548, 844.66354040252907, 846.15541015096608, 848.27544498790428, 848.72506763499007, 853.3360142369196, 853.84084616847042, 854.00967266876762, 855.95327252000209, 856.34739277514348, 857.01201177045562, 857.68453341157522, 858.89740605234783, 859.26800048528992, 859.8245918049796, 860.00815982771871, 860.13781472661049, 860.1839205331778, 861.32092270881606, 867.61025222988019, 869.61218713841754, 869.9412481551044, 870.28540799898929, 871.05687688957823, 871.76861958651841, 871.87688415596233, 873.10091071180386, 874.3566405553604, 875.41925839427313, 877.29508900810288, 879.20744376024913, 879.44616550031515, 880.13083337631758, 881.12825851914374, 881.19585392834483, 882.45544188533029, 885.87044504866083, 886.08733908296153, 886.20990561217468, 888.38928694803155, 888.41006008190061, 888.75411865979265, 889.20651079302729, 890.8461726468837, 891.89938406312922, 893.12946219279524, 894.0928254573663, 895.58439970539894, 896.33658172106868, 896.69942799909404, 896.7197271139006, 897.05479198997307, 898.06009623920204, 899.91221241408994, 900.58394517425438, 904.40651239667545, 905.00300272939694, 906.11862485346228, 906.94001251216343, 907.37469626276527, 907.6705421284945, 910.93299738671863, 912.55276668946976, 913.19078776571223, 913.66496537700641, 914.05329146269503, 914.92499879766137, 915.92127764823101, 917.61637968310799, 919.15855147333832, 919.73042433982062, 921.86703641857616, 921.91935455936607, 922.69410739655427, 922.80437238285685, 924.21946098932551, 924.46803879637844, 925.45865061976724, 928.89965826154923, 930.15637241407046, 932.99569616731594, 933.19138060688681, 933.38557584843977, 933.73954869778845, 934.38597149779491, 935.39951752464731, 935.94502275988873, 936.00992613149742, 939.1766809297693, 939.84351783653699, 940.57923788962512, 941.04565484768921, 941.16555165679927, 941.56574966295136, 944.71326347185425, 944.99218262947784, 945.59011438064954, 947.2988692300537, 948.8259994407673, 950.49274349612017, 950.51431774837556, 951.08829036828206, 952.90541933981444, 953.11157364993539, 953.33396873361357, 954.90864112390989, 955.16620715064448, 955.77171904009424, 957.912400404653, 959.16052720855134, 959.82623214768853, 960.93319528799645, 962.58958048814054, 962.64744476744863, 963.52763233006249, 963.93394026252861, 964.38311514373891, 964.5987421939634, 964.7518910257894, 965.71131458300351, 966.58126545319396, 968.631886769115, 969.1151125458307, 969.20689324490093, 970.07508812909339, 970.14174843030776, 970.70245320029824, 973.28837650616663, 973.66789915917866, 973.7477072630893, 973.78600773606945, 974.49592356069081, 974.63607015510468, 974.80329376053703, 975.12388131888861, 976.03158957245967, 978.40026273397916, 978.47191991767386, 981.00696870067429, 981.13433281893697, 981.51870374660814, 981.87664006852015, 981.95243584328318, 982.76135522698348, 983.31555854733494, 984.36003156529955, 986.02243255297867, 986.54434328593641, 987.1339437994219, 987.48697753643341, 989.81004814306289, 991.68934236991049, 993.61388571300142, 994.02418066046096, 994.37950559731496, 994.84240690077263, 995.81414860355881, 995.96988229335238, 996.42723163085157, 996.6553249220575, 999.86778261092923, 1000.3067210662447]),array([95.099713273061454, 96.968132581053339, 97.017216708741543, 97.264428375951454, 98.066499630002568, 98.875895545603854, 99.728010915107035, 100.25454802677341, 101.21361327873898, 102.22800308191862, 102.46986952812325, 107.67044822272545, 107.69567068022333, 109.40420580991113, 109.59751316807737, 112.31477782938411, 113.23210439838807, 114.02114348323727, 114.15029359029087, 114.31617995580295, 114.90648661141898, 115.3477455140568, 115.69229302688512, 116.06311915027869, 116.8614186984675, 117.39391265420359, 118.44189336242236, 121.77765798193349, 121.85362892625568, 121.9777137623575, 122.23963205048015, 122.9773824480138, 123.37968254882705, 123.68515254744987, 124.42500366977454, 126.85394757370095, 127.55231539748556, 127.9895416569415, 129.34556004246713, 129.86615189199068, 129.98996521731002, 130.01486350144052, 133.74770119655739, 134.75914034222154, 135.0635825937922, 135.88857403681297, 139.43234199942862, 139.53032025359437, 140.71340238478106, 142.42093624669121, 142.82290245217754, 143.26405303085517, 144.86585356931448, 144.94528771463806, 145.47446246670273, 146.78754849427011, 147.56996319241881, 149.50687837451133, 150.23288822798764, 150.26704669519975, 150.70953910830846, 154.06068970292219, 154.13631337881696, 154.55134700842294, 155.7360935450516, 156.0894731538132, 156.22620395198655, 156.39396875303663, 157.1498160827164, 158.0529077206852, 158.56177518455806, 158.83727122120737, 160.25383392410552, 162.82606762257404, 163.27229484763612, 163.99400814524463, 167.83808511803872, 168.9554195470441, 169.36145369266964, 169.5975048774668, 170.1665916818196, 170.83485912240977, 174.67360523153863, 174.93721049927223, 178.78268932621128, 180.56435081083447, 181.5436463301692, 181.68201838716394, 182.29012072567542, 182.87221142678308, 184.14564161318239, 187.59177713849957, 188.79944078135142, 189.01569416432699, 190.03130417825622, 191.26673323931308, 194.34101327541569, 194.69237618564952, 195.18166631329979, 196.00211450506947, 198.19829277666366, 199.06190829607058, 199.65970288635467, 201.1604362144129, 201.61511809569481, 205.91842623851397, 207.14009584246341, 208.06897366497208, 208.2257981412869, 208.48376947660967, 208.56357481802868, 209.1166805724925, 209.47685378559521, 210.25905270479691, 210.67677070940493, 211.06812516303972, 211.12386206118117, 213.03953131876912, 213.20856437947322, 214.31440608716645, 214.792227603773, 215.06981384401152, 215.73137475894973, 215.93279857994079, 216.68250636194418, 217.7807784491994, 218.58565721090955, 218.76394456085461, 219.15182110386382, 219.20354981836076, 219.72276924657029, 222.07435526112189, 224.39590997702697, 224.74012212108079, 225.29069574649918, 227.15486576029124, 227.22161086284694, 228.11183647295343, 230.92842810156546, 231.27885796448663, 231.74868915532912, 231.94905842299772, 232.13453979144904, 232.43295245023091, 233.10578253348055, 233.23344839372473, 235.3500444692844, 235.46554581778807, 235.55022545956112, 235.64527128905073, 235.82412907947187, 236.88963646818078, 237.85151181051654, 238.23073076140886, 239.22683234824495, 240.64112563520283, 241.69860166286483, 242.09600389754812, 242.29146817201359, 242.35059470910068, 242.62324659698217, 243.20720764995008, 244.17474542284728, 247.29188525177577, 248.19954813842966, 248.60872163562243, 250.80798056724518, 255.8410379083021, 255.86318484014865, 256.76634575867314, 257.2025446112479, 257.46510749144943, 258.7466643390452, 259.93299334887621, 260.34630079112645, 260.62000387475899, 262.04766621200508, 262.30944988540062, 262.5512188569611, 264.99363872884152, 266.80380471997501, 269.59360496262542, 269.66302746760971, 269.97021280710652, 270.77190335314481, 271.03998575480711, 271.53450356353869, 271.8508078605243, 272.07475256990438, 274.08219421322252, 275.74655446740701, 277.16977239706125, 278.60892225370554, 278.79749005887572, 279.77688819433183, 280.78156345977305, 280.89323053201622, 281.52336764247076, 282.272356192931, 282.57254857678072, 282.99844579120111, 286.53132535198176, 292.1114087536381, 293.1511082469292, 294.37766969782047, 296.00422102644291, 296.54709473128941, 299.48177437256845, 299.57376438618985, 300.12800349146585, 301.45786593587189, 301.48432550573983, 301.87878157928003, 303.06394221329225, 303.1373189596365, 303.2529959617342, 303.47128128165895, 303.78366036929754, 306.79460895979832, 307.3574908750179, 308.55747361624003, 308.83466553404236, 309.70966311976667, 309.98309641331264, 310.38696663511018, 310.45688734255958, 312.08507220059983, 312.60792695120011, 312.90951593857511, 313.18287952001771, 313.30786668487468, 313.78191015750826, 314.7024618077881, 316.53629287292614, 317.75066673439676, 319.35746701847791, 319.43286997328426, 320.78966186799897, 320.93709129067122, 322.30422782335341, 322.87954360445383, 324.40662467544888, 326.22022777429299, 328.70062783526572, 330.15611177795392, 330.47363182815832, 331.270004415595, 331.35252305290436, 335.67500981481146, 338.32106024298423, 339.48056977021088, 340.40924373531232, 341.80311835793543, 342.44946170776643, 342.9658599447211, 343.36024931702639, 343.55194187099585, 344.03425887631585, 344.81386775296977, 345.07689993462191, 345.14712165410663, 346.29072664053075, 346.80412426795675, 347.1672579145677, 348.71963463804593, 349.0040264039045, 350.54017096532056, 352.66438873468132, 353.36815750766965, 355.36260583292909, 356.82683891670393, 357.2067695429588, 357.8068409988976, 358.52280149764209, 358.58356388733262, 360.01920228591371, 360.83832224882786, 360.9773875085308, 361.06554661680298, 361.48711653423504, 363.43977770399403, 364.33219485156798, 364.75007741468431, 365.54904729180782, 366.2296606386771, 367.51561117498704, 368.498009605204, 368.55503606817956, 369.72387844573484, 370.26425695348041, 371.70221294484622, 374.12641839109546, 375.12969300286329, 375.19628421372232, 375.51471565523343, 378.40017537286445, 379.02458374114815, 381.25344777298017, 381.92310245198257, 382.68893633942145, 382.90277794114826, 383.07352314455466, 386.17091717683894, 387.10601103006974, 387.24430618786261, 387.58636862844452, 388.00521800494067, 388.57677040102448, 389.52468452477433, 389.94266179142676, 391.17008159769904, 392.55463423850307, 393.03777268439671, 393.20576054059694, 393.93881825219188, 395.07697592370903, 395.92984364942919, 397.67741924150999, 398.84236872121306, 400.97116718185271, 401.07868232904815, 404.05051325820142, 404.22831074505638, 404.76861801847821, 405.71144778882245, 408.79692629812723, 409.55835721898961, 411.81365272700617, 411.90554084257661, 412.00339872209861, 412.21218720428038, 413.32318970692671, 413.38400488071954, 413.52165438959042, 413.97417159233095, 414.8343442723293, 415.50443455364154, 418.5260477363592, 419.49473882731024, 420.91177028428666, 422.3789900802916, 422.53175471096432, 424.63750233817757, 426.24590443525909, 427.01103314525454, 428.08469991706801, 429.30863136255232, 431.31452590568261, 431.38071420857943, 433.32597691878038, 433.69439561719963, 437.13424878752846, 437.82585275574797, 438.5362757069787, 440.96107469690691, 440.99899916221682, 441.07518369307877, 441.32118335874748, 442.22857339868904, 443.54172520800449, 444.12267163954249, 444.61203686122434, 448.19423035274065, 449.40390098443106, 449.4728347379164, 450.89655105711603, 451.06533080209391, 452.42861589676949, 452.45828565937427, 453.13058360040583, 453.59952906064473, 461.46447832979959, 462.37030734274623, 463.52743551998498, 464.05172063055846, 464.20165445472344, 465.61560817660973, 466.57016293971594, 467.22890685016534, 467.37140599211261, 468.81179679257417, 469.16385957548187, 469.43572470068568, 471.08271904622501, 473.42941734143841, 474.22100035422716, 476.03754442441868, 477.17340680670577, 479.58016062738687, 480.96060894562129, 483.41892075402956, 483.83444286252552, 485.19931973234429, 486.31213400937395, 486.60366666128988, 488.44335132289632, 488.90175906081714, 489.09019984439851, 490.17695996407878, 490.32398348675355, 490.66202874907577, 491.48891744988043, 491.92373714420512, 492.44682725523501, 493.31026850816136, 493.35132556154508, 494.145689105722, 496.41325021512455, 497.35956623252497, 497.49721725885337, 497.73633088022785, 498.10825157513409, 499.40813406924531, 499.80932886900183, 500.14583580253657, 500.72491557851293, 501.92966997634392, 502.99273859288002, 506.66368660262816, 509.02562157358489, 509.11110163034425, 515.42442473920062, 516.77820693111585, 517.92079214645435, 518.65008222154779, 519.48297079216172, 519.95441054918263, 522.22518095784812, 522.8642578404523, 523.85564013684382, 523.8946795627528, 524.46576110771719, 524.58330248415416, 525.25039832197842, 525.34550971319561, 526.4653967109524, 526.84315049722727, 528.92590785188827, 530.12573081822632, 533.63026963266805, 535.55171690873988, 537.07222968928659, 538.66746904153342, 539.60967190538202, 541.8633892352708, 544.17445650733544, 544.3840162794279, 544.72199838807273, 545.66366776945233, 546.05018563533395, 546.81663862924745, 547.39281327747801, 547.67693432061037, 548.33449753768718, 549.19504753553247, 549.29823568435154, 549.50161681222448, 549.82120141898304, 550.46798088367143, 551.80182315547995, 552.83259412703467, 553.80626155124537, 554.8284805181886, 555.23944753319574, 555.80139115076861, 556.21997221869572, 557.09610995416244, 557.5572884335528, 557.87626652946835, 558.25510463464445, 562.26426274368748, 564.32828013678829, 567.4717899820846, 570.14395359540242, 571.15393027926382, 571.20670347219777, 572.03758785709545, 572.80275410034483, 574.90574004017265, 575.18718889101353, 576.32044581339153, 576.51101519371525, 577.40679225427391, 578.49654410046685, 578.93399333950731, 579.67311427373102, 580.05715585342273, 580.92552223491793, 582.29775113008816, 583.35572470229215, 584.26053949941718, 584.37805065990312, 584.80710588334898, 584.87100696473328, 585.45710320507226, 585.9713258719313, 586.31722682590498, 586.58062058727251, 587.93494593614696, 590.17469545788231, 591.07971678208264, 591.54255717669866, 591.89589034784296, 593.24044083307524, 593.40451166399782, 594.08181662098411, 594.10761099125432, 595.54816964808333, 598.45630145397888, 602.37468850763707, 604.07001416741878, 604.36169042982522, 606.07865936617941, 606.29478659442964, 607.51902394417266, 607.55804621390052, 607.58620677239503, 609.72498471379208, 609.76096391972317, 610.27481174439799, 610.40704502723418, 612.43187556976659, 612.71242841134062, 613.22284413267312, 613.72942560508704, 614.18467866241804, 614.85859297065304, 615.07247798998469, 616.51645775071768, 616.84556328942074, 617.12541605350452, 617.6968299097847, 619.65920492956286, 620.11734722325468, 622.75052459463166, 624.48261529618139, 624.56129161428817, 627.39761373042052, 627.69974987943203, 628.76181899188816, 631.13024195310459, 631.626256018189, 632.13730595343998, 632.81285325918316, 633.04125165315747, 633.92552096959798, 634.53351625696678, 634.74732134275246, 635.81006217099161, 637.80081897534728, 638.14732961014795, 638.37929143286283, 638.66220789727515, 639.72030940178081, 640.8273097557659, 642.8117959917081, 642.88066149086342, 644.27204326879439, 645.20341807543059, 646.3255686170429, 647.46689341620743, 647.6863973202137, 647.75240860515544, 649.07332036670277, 649.37963825631334, 649.73465296046038, 650.2193353890359, 652.63558617626222, 653.35619804283795, 653.69816491230915, 655.82988237720815, 657.84185627870943, 658.2006887691324, 659.76229271546481, 661.1366569018237, 661.37021274432436, 661.54074421503776, 662.5760842366119, 663.79066733372804, 663.99538991739951, 664.60629970358491, 664.94520570477789, 666.20997039219276, 666.54437622642274, 667.0362755850457, 668.21288476231086, 669.63263340234164, 670.17686202202367, 670.27895423963594, 672.47368133251666, 672.77442650524722, 674.1451990828167, 675.19854117311388, 676.62916845576626, 677.99892300619069, 679.48722998189737, 681.55373645107966, 682.31685265304316, 682.33946136568557, 682.37705760468918, 683.66257987672907, 684.00045158285172, 687.00495912389079, 688.88322230919857, 691.43493890365596, 691.95686334789207, 692.68935499529289, 693.0921898208943, 693.15211687417536, 693.70389766742687, 693.92034603882712, 695.22013115609866, 697.0333915429303, 698.41259620955736, 701.32557189403781, 702.67267692322332, 704.08858876054046, 704.25732300367258, 704.74833866049823, 705.17344061705342, 706.13037349104491, 707.26676036149001, 707.36342704160336, 708.87588785963715, 713.13278078211408, 715.33177660569618, 717.29114894913732, 717.8826496041612, 719.45567343685764, 722.12907003322323, 724.47026596082333, 725.52000500919087, 725.63457312413152, 725.67324885001096, 725.77242033709251, 727.163958608597, 729.26548786734486, 730.55022150350487, 732.06762086346828, 732.60482355448107, 733.0104956208088, 733.39906134428259, 733.56712998710066, 733.72264979292663, 734.33348102200864, 739.34761237619659, 739.63882402291517, 740.10667058603951, 740.85187527798996, 741.9966260186485, 743.15986644042698, 743.38107400442982, 744.61181929241559, 745.39499706523179, 746.33698661376684, 748.6297203150018, 750.6325857540395, 751.59299031533669, 752.04008362285595, 755.25143696588157, 755.94545931937307, 761.8756999645924, 762.65939918023719, 763.99972986999092, 764.06734020023725, 765.61689604007006, 766.48408557632229, 767.9634819806962, 768.93384468764179, 770.37228214998697, 770.77818255788998, 772.05245153198518, 772.13298891071372, 776.08643601648373, 776.99717954633297, 778.52514120641035, 779.00571553686109, 781.27657986530846, 783.73023936437005, 784.41300292511312, 784.83707710570957, 788.39466669094418, 789.47592089066211, 789.71472755468085, 789.95134526617096, 790.42685223327192, 791.31298995668033, 792.8600769219322, 793.41862864947211, 793.49071603707455, 793.911912569582, 794.15435219139397, 794.54596573079266, 794.64531052535347, 796.04531834429054, 798.08986255388163, 798.11666464268797, 798.99730956900703, 800.31483359684944, 800.8958327789619, 802.24852699725272, 802.83216373615517, 803.44568096759679, 804.7778430472647, 806.62361098476072, 807.03478023348111, 807.36458186238985, 809.92877533447222, 811.01685367042444, 811.1346805197071, 811.19728465232629, 812.91264231428011, 813.89552288726793, 815.4467707424941, 815.97176908520896, 820.36187373499354, 821.84738616808397, 823.48739096240718, 824.08714596920879, 825.65206035311417, 825.89155636559383, 826.92296344669523, 827.99043816320034, 828.08162526121077, 829.13414556916143, 829.45591689990795, 829.83533561546335, 830.25062859177478, 830.98007161710996, 832.34605150172456, 834.75786391142913, 838.27889246422899, 838.4792287686779, 838.80482272566394, 839.58509558838682, 840.37849450708859, 840.60056525411414, 841.29563194375044, 845.46437087486947, 845.66698692004309, 846.54673250740291, 846.83797078779628, 847.143880102097, 847.5676364488437, 848.09862559430803, 850.88440076626932, 851.8743037143538, 853.13436165361713, 853.83265494281852, 854.1466320750834, 854.83714402476483, 856.91661529307567, 858.61267451312699, 860.46858555494828, 861.48604131310356, 862.77912510484805, 863.1179577444376, 864.81665676579553, 864.98231417279271, 865.92822544076455, 866.68208380600311, 867.31885599904763, 867.46685015443848, 867.9689745095227, 868.40161507454661, 870.74260174868186, 872.98497829132396, 873.70257468159139, 874.05446133974965, 874.72433150723646, 875.06031588098574, 876.47706950939425, 876.67493156685032, 879.13365658206033, 879.22433843430372, 879.91989982047983, 881.52653250686592, 882.86772823512956, 884.42406056210234, 885.81768348963351, 888.87117837826281, 889.69513273343989, 890.53418678663161, 892.99801246127481, 893.79495632417047, 895.19764974700058, 895.28788608598575, 895.93044029550674, 896.37074933103054, 896.96744278668552, 898.53144328319274, 899.83199412452041, 901.38732177807981, 902.31990196363836, 903.98786588329597, 904.44795670888493, 905.0359108490527, 907.00409663468884, 908.38435018724738, 909.1337493056659, 909.51910612988809, 910.89039546505251, 911.2452433809591, 911.63851986253098, 912.21029774438455, 912.79665405778132, 914.19864352314198, 914.62424781820926, 915.49751849188078, 920.77955911666436, 921.41827272159571, 923.6973212864624, 925.27406412729329, 926.83188148282682, 926.90948271369211, 928.44006819403307, 929.1355889701415, 929.41646870600982, 929.53272011986485, 930.54180253182847, 931.64975143429547, 933.36962807950476, 933.80042246218829, 934.67187279953941, 934.94212222004899, 937.31606852623088, 938.69909575000258, 939.13517928483429, 939.76596560483188, 940.04957330638763, 940.86136081417283, 942.53347208162484, 943.59614446037108, 945.02383843275265, 945.66942930540733, 946.38266033391801, 947.54014060008433, 948.38154350859622, 949.19948552406129, 949.40905620573574, 949.70700915090299, 951.58480167889013, 953.92487610594469, 956.62471495965542, 956.67488547318453, 957.7877973137679, 958.58490374097107, 959.33505195654209, 960.22966359607324, 961.16976511121197, 962.46747339992328, 964.61833113897944, 964.76201938192946, 966.15438102503549, 966.63009271723786, 967.31176941614433, 967.84669274408179, 968.09015821192611, 969.46553430291419, 971.04306927146877, 971.24081698513783, 972.98510084243253, 973.08246506922592, 974.20021568429888, 974.26014481826951, 976.81851076139833, 981.46992607717686, 983.61543680675334, 987.038396779766, 988.04204296641626, 988.62201206433281, 988.73529461499345, 990.31557977702039, 991.94280901063257, 993.00990376590414, 993.07971883129539, 993.40144198586199, 993.56519287450669, 994.02526413468479, 994.56245377064636, 994.63807490071122, 994.99763877801911, 997.20012797085565, 999.06176472974153, 999.39800005199709, 1000.3835992805612]),array([40.623001985945983, 41.686304226261335, 42.376616136663756, 42.408597421897973, 46.508788497203135, 47.656417572581397, 47.801732679636579, 48.134637323176925, 48.667916666870099, 49.168202320380104, 50.040775159471679, 50.181584909478431, 51.77303804226117, 52.394393275462399, 53.463511863143786, 55.359115841767938, 57.416403078710033, 57.651353337745782, 57.927506455900343, 58.13681795468765, 59.724411244563882, 61.731951301041057, 61.925199793075166, 62.476930608146318, 63.645423614484841, 65.311279456414724, 65.673751164211552, 65.77295909929731, 67.318625533140121, 67.843156747585468, 68.355741555718211, 69.502062027722317, 71.091486881586249, 72.473912699797182, 78.847938254379528, 81.52841257620814, 81.644813182246878, 83.22898360324757, 83.449480382830501, 83.544132409701163, 84.483360575201289, 86.234929045866991, 86.997316704007432, 87.313730667535538, 88.133747885373296, 88.700296321087961, 92.09982877451489, 93.298206668719232, 93.736119640940231, 94.130011149204876, 95.804367820213244, 96.558328604079833, 98.347406636894803, 99.44997639763794, 100.08436928957167, 100.12158006068125, 100.23432433434608, 102.20372496240472, 102.23545762690587, 105.13797440597654, 105.17450616134934, 106.76446274897971, 108.84839582797697, 110.34926923391433, 111.03472144928109, 113.73139430548474, 119.50767793718374, 120.23947018828643, 120.91637157300084, 123.56168938330885, 123.70717900379604, 125.49485350654791, 126.1437431488757, 127.95753951108425, 128.14819197227564, 128.4463060462576, 128.69778932453195, 129.31652240496743, 129.55363686090155, 130.15709354078137, 130.9053333003319, 130.9840370147748, 132.44951333646989, 132.72712587054713, 133.29764001340962, 133.465917617759, 133.66514097642761, 134.59240645056258, 134.81692672161205, 136.35985918999722, 136.4418648718991, 137.34142460122288, 139.90708625210033, 142.53745634511563, 144.09216623190767, 145.08864952291228, 146.83497164919564, 147.31996739564113, 147.99745889762875, 148.89395325539274, 149.35746521562697, 149.54998197487504, 150.17701658674727, 151.70831282145792, 151.76523749184983, 151.85601350646436, 152.00444095891069, 153.15963894023227, 153.82631259658481, 154.19702387647843, 154.71148362037468, 156.62640061546776, 156.69770341303681, 157.55255795862672, 157.88803304732022, 159.0513213044178, 159.35181854596544, 159.62420123746301, 161.05060190089296, 161.08967778666391, 162.68672020889889, 162.76196739640591, 163.22197006399952, 163.48326688683741, 164.68499037965938, 164.75835513355389, 166.82588779631561, 167.48589165661954, 168.10478436667142, 168.56476818300553, 168.70261938522515, 168.7486343062273, 170.49041323500799, 170.58741201132221, 171.58762789296577, 171.86464290507237, 173.02794879125022, 173.48670215559326, 175.74679446790071, 178.21015845874552, 179.4431175831956, 179.60430867324706, 181.7560692804696, 182.36001470584748, 185.00890425915526, 187.46842607708439, 189.35990843791029, 190.80879255769887, 191.26870975919314, 192.15972249076432, 192.89686536945015, 193.3866282880966, 194.60404922012768, 196.12613902137974, 197.95047777564528, 198.65242280919347, 200.56186886976079, 201.25672651565239, 201.7869806550674, 206.36421325449069, 207.71781073365003, 208.19354555848039, 208.49867625927158, 208.77665660402195, 210.96701510213086, 211.29234184389571, 212.56930788119448, 213.88067561957652, 214.25360598075298, 214.76975713818678, 215.11404617758762, 215.33611478991278, 215.64040616604694, 216.34951421207765, 216.4221868742186, 216.7252765849168, 218.27526335938146, 221.15350468757717, 221.53259148419812, 222.22706323221047, 222.28753987446507, 223.35795070119326, 227.43878164888784, 229.84672187415322, 230.90115195966121, 231.0509635693416, 234.31406375860959, 234.81002863628797, 234.83035908417003, 234.86783496969849, 235.8843998800468, 236.90319222977834, 238.20234064902152, 239.01936767441182, 239.52184779897877, 239.97002731828917, 240.2695451360955, 240.81691916374936, 240.95219909256056, 241.30576718537847, 241.73384436800029, 243.52324253587543, 244.13251903299192, 244.23222207282083, 244.41445328490471, 244.9525995463809, 245.11845709556573, 245.17733024007424, 245.36477129400856, 245.54500889427291, 248.81783431689541, 250.81469007781959, 251.71475273281663, 252.43989824306689, 252.73767557873092, 253.45056625079732, 254.3596879630945, 254.77912247658162, 255.28435940448287, 255.6010295341664, 258.17310216272784, 258.50905715277673, 258.69991487506621, 260.14272635759176, 262.8984352230849, 264.73635418346942, 265.04358929749009, 265.99966167567288, 266.39537295916989, 266.48991746115843, 267.08971756092257, 268.10981110332852, 268.53593757200406, 270.75061173401377, 270.96825048981833, 271.56437418804256, 271.89234457667754, 272.57302301596849, 273.27027464813335, 274.38704247044376, 274.80596241312617, 279.57195014449451, 281.93864601174511, 284.14170486948854, 284.8628119243408, 285.64323314506021, 286.43695086234419, 289.43934755986692, 293.461607377387, 295.42249543520455, 297.07060708345597, 297.17819097826629, 297.51526209396764, 297.93087814872013, 298.24468150989668, 298.50451048886458, 298.96659870246719, 299.44077752064362, 301.09325765332471, 301.15973543198209, 303.34469673794791, 303.49894089747062, 303.99710140533125, 304.91933707935812, 305.04577790314289, 306.42334999169077, 308.36502307736737, 308.7463969586945, 308.9330740861447, 310.13190205302089, 311.44929154812218, 311.58277000808448, 314.08284164330911, 314.51987684657468, 314.5913572141697, 314.71690874144542, 315.87973400458128, 315.98755249921192, 316.86380572956443, 318.94245743664675, 319.00348236966806, 319.02525332436869, 319.70277537361022, 320.37433089591326, 321.26589005340276, 324.29285949647499, 327.31866470958175, 327.92095446462866, 328.8684047657182, 329.17789099901285, 332.22897545614518, 332.73204134244764, 333.41954460665897, 333.60685973893305, 334.78504941563676, 335.64615995785221, 337.90817204213505, 338.54353442523393, 338.89973176212015, 341.91049131205995, 343.24869246473338, 343.95277289627001, 344.29327482467551, 344.42186705513217, 345.37262855517548, 347.65691941334148, 348.82281835365109, 351.26623324673074, 351.94574230313827, 352.20910558500282, 353.37294430577225, 355.10289407563147, 356.94312889559006, 358.63969379170476, 360.96425358416786, 360.99094376495646, 362.45437373646422, 364.63243309294802, 365.18500091087128, 366.12776116563009, 367.01565395922728, 367.4428032208537, 368.3541919733463, 369.24123470412633, 369.97978726803689, 372.28207060786656, 372.94266193099782, 374.05417737821921, 374.29290251169698, 379.43992595796323, 380.39165170317665, 384.42180535991633, 385.71222195900231, 387.95682765481433, 388.47517307031382, 391.37559750364312, 392.46732088698832, 392.92798705420137, 395.30613225082948, 399.74217821188222, 401.66963020003254, 402.58562293644172, 403.06985146421431, 403.19167404316761, 403.98093942498252, 404.15228527629984, 404.74050350120297, 406.11111528040038, 411.04367652107288, 411.07814323634022, 412.04551333984142, 413.04258557980467, 416.0943331588395, 416.90900428573639, 420.20715960516617, 421.06512757060142, 421.33559461662253, 421.44712124818687, 422.12081738761987, 422.38394854067883, 426.69765297175633, 428.27315192512896, 428.44004303364113, 429.8770342602146, 430.20781528849989, 430.75347701434686, 431.95302503494224, 432.63079607270419, 432.97997906099971, 433.92516307280977, 434.08775185528418, 434.7220351831524, 435.19582923003162, 435.87470400248958, 436.12083021055662, 437.50871510049888, 437.89770566337944, 439.18288496537258, 440.27241092655458, 441.91969491004664, 442.47968918321652, 444.41907199888806, 447.24627005719231, 447.8163515212006, 448.1658990962934, 451.0987771479991, 452.20086307203957, 452.66549654354628, 452.70083979684267, 453.82648150831568, 454.22332211574047, 456.00289169664927, 457.56239299577919, 457.97647283106392, 461.68346142473501, 462.23129389910781, 462.33687688185779, 463.0356693100357, 463.70337180428237, 466.16121729440493, 467.50136327376555, 468.59871915989015, 468.74840743708182, 468.83611317328268, 469.73570559498609, 470.20946880171948, 474.93005117320553, 475.74039355606266, 476.63589350011182, 477.12480197874754, 477.76676026220758, 478.07339863332089, 478.50094608766068, 481.73012359868312, 484.29303602551397, 484.85442703777795, 485.04497312171071, 486.74712260191257, 486.92190318762925, 487.35325414202407, 487.6662907303334, 491.36721480854635, 492.23908764723774, 492.35743929114295, 493.0790612068563, 493.68182248309859, 493.82135016184225, 498.02620032952643, 502.20756200703107, 502.34603887928193, 503.43042902695299, 503.76557913249326, 504.64157215332705, 505.31015492813492, 508.63648881271973, 509.59594075803068, 509.62952543862571, 510.25159344006556, 511.09731708871902, 511.91664503619023, 511.99602045301208, 512.07273607057232, 512.14572602376404, 512.71526324174624, 512.88711248674554, 514.77572341653854, 517.04787793490038, 518.30473321213674, 519.99216988703927, 520.7900379725927, 520.93603347810188, 522.13707508735672, 522.479232326888, 522.83543791440286, 523.21482331747734, 524.07288784876494, 524.57635260385734, 525.13970436591296, 525.79548497341841, 527.15705337888949, 527.30285655373825, 527.39867994089889, 528.27499768617679, 528.4122136103573, 528.80390170890234, 529.08862690758122, 530.45564649771734, 530.74254172999235, 531.24665165947749, 531.88974649230465, 531.92137236921701, 532.39054161311265, 535.65093326384522, 535.80819678892806, 536.17819032229943, 536.74713977013243, 536.82713436965969, 537.15320485685584, 538.85521862169958, 541.01458514347394, 541.85514354636109, 542.33539608706474, 542.8106463255034, 543.25453585009166, 543.41774871892619, 544.08510843663203, 544.82741004551769, 544.92158112029392, 546.5796630655484, 547.80167341006211, 549.99769294093733, 550.16485234964762, 550.76686519025691, 550.91001851693557, 553.10220058589584, 553.54749864780194, 553.69898166297617, 555.31229464885064, 558.59434137511414, 559.74981696059956, 560.59187075835143, 561.21629923165187, 561.32243028168489, 561.44457522641665, 562.63830297060179, 565.64783695794893, 565.94838870139108, 566.11969268926862, 566.62281049622675, 566.83214498177085, 571.24409347454298, 571.80445706053524, 572.55574252025656, 572.73440546700692, 572.84629611485229, 574.43749371343415, 574.59753598821374, 575.47350841796435, 575.68351343673055, 576.54116754140659, 576.81903763336356, 577.83414428773312, 577.86969962463388, 579.83741705912246, 580.78453622689324, 585.33603944873062, 585.67850666848869, 586.93120751859215, 588.32542872894078, 588.57554011712648, 588.80401633846918, 589.31104555732099, 589.41923568010304, 589.73449810919055, 590.01560371155904, 590.29343169105687, 591.93683455132589, 592.06451227535649, 592.7370060691137, 593.89044101926288, 594.23103416518961, 594.49847450982861, 596.8160633106869, 598.88021617359072, 599.15005326228288, 600.34875809282221, 602.76338411926145, 605.23457386551729, 610.57287722040792, 614.95920316477702, 615.30376866055076, 615.71040454142019, 615.75301692945527, 616.74820343195699, 618.5095282588901, 621.72430395899835, 622.76326315016252, 623.50719569627165, 625.09840720803845, 625.70872212730512, 626.34114714843452, 627.10662710061922, 629.06667088043901, 629.09112965006705, 629.76139714616829, 630.38483585062011, 631.72315815571585, 633.80836960247495, 634.17008946836904, 635.60931896893555, 637.59050269945124, 640.65720278936158, 645.05649893690008, 647.05678077075618, 648.35305658128323, 649.77719145086144, 650.16511951910604, 650.69944230247518, 651.09414559132006, 651.99164533539567, 652.75294824701314, 653.24583467499872, 654.23541572197951, 656.23523398529608, 656.65643156847455, 657.32834295386272, 657.49325745794931, 658.29798103229734, 658.64109680729712, 659.23897999570158, 662.2159778841841, 662.94427788694543, 663.4740841698939, 667.34194602586717, 669.38505287153134, 669.78723632307276, 669.97958748024246, 670.0944333331247, 670.25086744542193, 671.31004040404514, 671.88296805182267, 673.32867621053765, 673.56742835399371, 674.56423749933731, 674.603554347471, 678.37430527568711, 679.08084730593521, 679.33234174316863, 679.36511251462071, 680.47366382880068, 680.55804228449892, 682.03504394128981, 682.24761970537054, 682.56780513975855, 682.88136118714669, 684.1391577537546, 685.96597484730637, 686.70734349885083, 688.16415762522013, 690.90648999071925, 693.48795839203513, 693.51619882274042, 694.05535777073624, 695.90090091349668, 696.43962293821801, 696.7267557935719, 697.85184591089296, 698.24986271598789, 699.60443710494849, 700.34182712362485, 700.52664176383394, 700.82455127585422, 702.95263995736252, 704.87655038057153, 705.85791895086595, 709.39586396478342, 715.23025752506828, 715.72528289579282, 715.92954695598814, 716.12010029837961, 716.37563787236593, 719.52658857547442, 719.85466707116848, 720.58438325308066, 720.77189723575532, 721.39477701530211, 722.6351587011319, 722.95360939372949, 723.15420188809901, 723.68286092574954, 724.05635828454501, 724.30939494345762, 724.94775269048148, 725.10821945337977, 725.3233544962261, 725.495962877436, 726.67275162599856, 727.11548187729147, 728.25946389564751, 728.35259608568049, 728.3948807240198, 730.46500328635125, 730.5555521930703, 732.30941037662683, 732.99619667935099, 733.92720509687842, 734.47758926623317, 737.26649784832898, 740.0074726274263, 740.35712734896401, 744.32358398236522, 745.58414416499477, 747.34809105102192, 747.61424479444815, 748.70142880066601, 750.47317717059536, 753.08456401484273, 754.47470018374224, 757.30784588030087, 757.60489302888379, 757.64169407151519, 760.0886517454768, 760.7096316476792, 762.26351470689417, 763.4001941172786, 764.39509062497984, 767.46436395908677, 768.33890270178722, 769.40436977638376, 769.43251921462956, 769.56959668450816, 770.08912331388876, 771.298762465001, 771.46940685068023, 772.00734001617229, 772.28242237885797, 772.42353148533903, 773.46610275917305, 775.11763224679021, 775.47415460095465, 777.28715744845681, 777.90073454211097, 779.02277951829706, 780.46664803088458, 780.96391718390339, 782.86242440267961, 783.55067385238237, 783.91411302291226, 785.10234950732809, 785.17902333473489, 785.23437107463576, 788.95274161414295, 790.58228541373398, 792.52387438539245, 794.02554827104473, 795.31523047346275, 797.15967928806663, 797.53269173395597, 799.53194835703016, 801.44363995089441, 801.73756413758611, 803.58317132221055, 805.97155790122667, 807.22900822827876, 808.32964593063548, 808.64343281916354, 809.87218377088629, 810.14286977861104, 810.9407664591497, 811.00821372131031, 811.67833859198993, 812.50120781380019, 815.07676084154684, 815.30013876210069, 817.20593651784782, 818.05268908149856, 819.60590560040384, 820.20665809103764, 820.64390565568601, 821.64689693856565, 822.12624464444661, 822.39784964280295, 824.44077666487078, 825.39123193625278, 825.44099978493659, 825.59665591268981, 825.79086464951183, 826.36406479180425, 826.56349897441714, 827.4715414696559, 829.70343333153357, 831.79492940238845, 832.77964355848314, 833.1471516407729, 836.30429120186852, 836.78783939391769, 836.80914794382352, 837.59486083423997, 839.94817806432206, 840.12440630449908, 840.58009032428856, 845.34771940080907, 847.15440855860038, 847.36048557346078, 847.93946362217287, 848.53420430837116, 848.85194146625281, 849.89256747459581, 851.64319233533899, 851.74729579708776, 851.86275510653695, 853.88117176456251, 855.03758421560246, 857.46654949514436, 858.61269585216155, 861.07280544670493, 861.71973456462467, 862.94768325454527, 863.11554362469485, 863.75800436173085, 865.50052814932303, 865.78768625526027, 866.5278058909721, 867.41018519915337, 867.72073781555184, 868.65699691738735, 869.83709878760169, 872.93314854775076, 873.69604508564294, 874.37089072687968, 874.46185268939689, 875.54843093053512, 876.6286920849094, 877.03370106445857, 877.44476929027383, 877.66695429516744, 880.47376938250659, 880.58813797649259, 882.4195315487741, 882.83161047763485, 883.61017677708719, 884.13817054287949, 885.32798466884344, 885.69263066736437, 886.51945259487218, 887.3510622586216, 888.33766239342367, 888.38506464632849, 888.55995360686552, 889.79862954273483, 890.9229009053837, 892.32950653136811, 892.69434439864369, 893.20551909064, 896.02488177877228, 896.3084147280847, 897.56711953685772, 898.29395405884225, 898.33247133899999, 898.36690063360697, 898.50624563302028, 898.79829113106382, 900.64573723433568, 901.17944491242054, 901.98042575458226, 905.36923028071283, 906.80300120559764, 908.12302734431444, 909.03322856428383, 910.10367111168102, 910.72501819731519, 910.88737520838413, 911.17421569729368, 911.30941602289829, 912.54916798389377, 912.74520323890863, 914.6478601342169, 914.98285221894298, 915.1611727233286, 915.43018122629803, 918.08371280167216, 919.13514765795685, 923.00757790762179, 923.64506775440782, 923.75627374497185, 924.08036161574853, 925.8567765218279, 926.04116160179626, 929.08255488971668, 930.24361014979411, 932.45043318745218, 933.34398437793016, 934.53540962393686, 934.88563351424307, 937.01800974197931, 937.54577164533441, 937.91168008473585, 938.52929567443402, 940.02409532556771, 942.38084401180515, 943.46746479253579, 943.59821348062087, 944.48354789633004, 944.93187578595723, 946.58765526112938, 946.70666546057964, 948.11770368614862, 950.0829076300821, 950.11149448781464, 950.18705386880936, 952.68576500548488, 952.87924317665147, 953.16835632933885, 955.73608215270372, 957.11875939722972, 957.65181477577346, 958.84909112422804, 959.75417894434747, 960.3884699762524, 961.49241048221518, 963.24007719892859, 963.53898916953983, 963.59136641122097, 963.8554089260748, 964.14537442888798, 965.29294462834446, 966.7275638931427, 967.47281856425229, 968.02126647761906, 968.62351600398051, 969.71387656214654, 972.10220907881137, 973.5540225599857, 976.82827830890585, 977.13073088543865, 977.23302885261205, 978.6902363094963, 978.7804483858589, 978.85119851547665, 979.78301950832042, 979.91245347977394, 980.42926255380939, 981.55637844514195, 986.19315905976214, 986.47541624954499, 987.08297967706471, 989.42740213213642, 990.29708279661827, 991.17213299196021, 992.12608587026898, 993.34317388483521, 993.43687538585243, 994.07734008566695, 996.41591918793677, 998.26365502985004, 998.52444072406638, 999.45467779768001, 1000.2657623738437]),array([46.04333043978189, 46.332150109027133, 47.377133705018444, 48.871680406741774, 50.039962522382801, 51.148210308612065, 52.127698332283778, 52.857660355743171, 53.044329732414461, 55.648779786593728, 57.725360146470337, 58.370317548831054, 58.426153866180805, 58.611411332742854, 58.857023054023841, 59.60171179200325, 60.259167306022377, 60.362938208393032, 60.489824744496126, 60.517948974517182, 60.685170485700873, 61.776308298577867, 61.965593496797766, 62.550990009761207, 64.230034040344449, 64.44947610836617, 64.714736997802831, 66.601871861228332, 67.155004024894552, 68.019386831198318, 69.563894304465165, 70.286830644527143, 70.421859307891864, 70.574692301583838, 72.650041891724229, 74.156940426279277, 79.391815948288524, 81.553783675864537, 83.042238800067267, 89.848472331533756, 90.607161488398475, 92.032628660343391, 92.818231260023396, 94.963415415752351, 97.072704935874839, 97.523873078421744, 97.889054663070425, 98.114812602605937, 98.55190496261126, 99.034574695153808, 99.517233352268192, 100.20456216767133, 101.87010187026436, 103.59289223440808, 105.24681682376149, 105.72726721024023, 108.32721751451201, 108.51566703201422, 110.23193884800239, 115.19371159940999, 115.84157851447945, 116.12706382119399, 117.179236604886, 117.40933731264116, 117.61983040305412, 119.53407616697785, 121.43103327065923, 121.55326524578986, 122.69060644088179, 124.87672715610663, 126.63781385769985, 126.65957650377729, 128.22989111127043, 128.68032356267489, 129.39221569909199, 130.3826990448423, 132.34697640438492, 134.2213621605317, 135.44344965252901, 135.98699884550948, 137.72977842149726, 138.82081756974435, 141.25336574887842, 141.53877251617405, 143.15724570918806, 145.2336040729721, 145.3447455401076, 146.14788523319353, 147.06541595749374, 147.15185531919138, 147.87846019189612, 148.07313026663306, 148.24951915837119, 148.34718464430517, 148.47227054549009, 148.82582567945963, 149.81763912345525, 151.42757571117073, 151.76888652613246, 154.58240101754507, 156.91361281626808, 157.62328578749549, 158.47989064966239, 160.03319643698049, 160.23811813054468, 160.41206465345849, 162.2454740385611, 163.3131144731102, 165.37596742899845, 166.00194170270896, 166.49946946661012, 166.96022811432491, 167.03824113597702, 167.15529820687661, 167.561630818596, 168.08256158508721, 168.13861674830665, 171.91408781904897, 172.64986209716582, 173.19413429392878, 173.3226707701028, 174.27164802155221, 176.95747605328521, 177.64233043329224, 177.90107914721108, 178.6871653348407, 179.21221730408769, 180.74976775445504, 181.36368019432604, 182.49596728097276, 182.59717156583307, 183.75498625677028, 184.5649862688503, 185.64526515317581, 186.03817152317043, 186.06754400162285, 187.1162002694785, 187.64449156328072, 189.78430841440223, 190.19588417500381, 191.07188297119217, 194.5224575828878, 194.85058338274609, 194.92952614144792, 195.98756747835918, 201.18893253297156, 202.61309451952593, 206.38188118693071, 208.95014519491642, 210.46596971597077, 212.33375135254269, 212.36258584171136, 212.87625708906586, 212.92974317469134, 214.43505340481656, 214.85788324288865, 220.44362375971519, 221.3067257115124, 222.15510847316273, 222.48485352606622, 224.29720981546677, 225.51661976454557, 226.40050774015631, 226.61420133190632, 227.12266160268447, 227.66122363409522, 227.97024696029672, 228.13911596261164, 229.41929536452048, 229.51258092051202, 230.62923176533798, 230.72604742217294, 231.69401553161978, 236.43616042970032, 237.13257544867821, 238.48845547223581, 239.24345364773177, 239.32331240026249, 239.98714093499166, 240.83334267595549, 240.91743331483744, 241.12237569059926, 242.45273592057623, 243.86683617031713, 245.42593627602025, 245.90497799221154, 245.95692690857416, 247.40033692959273, 248.69270633266964, 249.69531380178074, 249.92438676681181, 252.84058647438107, 252.87708859735497, 253.99350872224042, 254.05210104142614, 254.36237742835567, 254.42253059463746, 256.11859167202846, 256.90125895890526, 256.94016378160097, 257.76922957498732, 262.15528011229213, 262.31423419345145, 264.06810473081293, 265.03281055862612, 265.9916907985218, 270.64423841259725, 272.37142496717195, 273.42441896867007, 274.08330603680275, 274.25988701889639, 276.11652682298291, 276.18602928058687, 276.52293497845505, 277.4197347569891, 278.55165774942117, 279.60285214317395, 280.00414484309846, 280.21899555130716, 282.82445383476966, 286.32485405482709, 287.26654740896032, 289.67294636352233, 289.71042498340296, 291.08103450987403, 292.27614566841777, 293.65296294060306, 293.88875695847719, 294.71673594223961, 295.89183344794031, 300.64992886969441, 301.38580215062427, 302.12295253510513, 303.60355436610678, 304.4176258418529, 304.50655686996947, 305.67410238653298, 309.41441806388912, 311.38777821030612, 312.31919799911338, 312.44049429069281, 313.39971824832691, 314.12607034063603, 314.81635486773001, 314.96883103152521, 314.99017520344432, 316.6641785680518, 317.12204066695455, 317.18448117857207, 319.48848110905857, 320.93514071244419, 321.93325769270808, 322.5554545414858, 327.64170936441326, 332.85642461524134, 333.98584017942699, 334.18727112810001, 335.55145714271055, 336.09480473185596, 336.37543912552292, 337.66143203195583, 338.74781089282072, 340.59122292234485, 340.85947331659429, 346.1838328589231, 346.82524329969311, 348.21359113683172, 348.88647766057903, 350.68793753749526, 350.98565545465459, 352.10568621577295, 353.6942824864712, 356.77685578682053, 357.09833872530623, 358.61914531782753, 359.99241325075855, 360.03575173612694, 362.59877404150978, 363.01246132821541, 363.03973309162399, 363.22591708700446, 363.2627653756611, 365.67015320559557, 366.92015537060536, 367.83979867748809, 368.91523242712884, 369.42786170660969, 370.38832878651732, 371.67821105044527, 372.20245090498906, 372.61006289978286, 374.37466282802563, 374.43487024973058, 376.36432906794499, 379.82062980871007, 380.84547366093398, 381.72533689937069, 382.30153954111285, 382.36911966732828, 382.73683497529083, 382.8573702976222, 384.69832816218513, 385.4269186278417, 386.41759230998952, 388.27145635334244, 388.43652089912149, 389.5486194086796, 390.21795827198082, 391.71409629139794, 394.47989741093329, 395.75350157933656, 399.98224529692891, 400.35903515036557, 404.81009924147594, 405.30158267158998, 406.6355093978367, 407.26133628731111, 407.80761490591817, 409.24148692085532, 409.71849003759723, 412.12720933626349, 412.27739350777046, 412.5542402967348, 414.30277773016331, 414.6624278455285, 418.70205828108345, 418.80837231118335, 418.96604934098536, 419.84880060134253, 421.45999364597185, 421.65463929713189, 421.89418576239729, 422.21163615890674, 422.52524600572156, 423.53307160176104, 424.09864593789933, 425.28136586733763, 426.98564401042319, 427.46844747922279, 428.8980503350341, 429.3883219089717, 430.53625721090953, 432.85629284476624, 433.22656771014726, 434.38117766320136, 436.64811239159485, 438.17430861333662, 438.5010007365824, 438.75826264766033, 439.07766292440363, 441.09676100543373, 442.26717437341097, 443.39760767397001, 443.7886946324096, 444.71980617970456, 445.60319906155331, 448.30060710555369, 449.08996958512029, 452.68647081113704, 453.52809100829279, 453.93702309507819, 454.22583267541683, 456.7693800027929, 457.14927173660931, 457.29357717146274, 457.51406562708462, 458.16266704956911, 459.59957041060898, 459.91806516321219, 461.00664106625874, 461.64242771773638, 461.90331716057358, 462.85980947674716, 463.65023453766031, 463.84737723753341, 464.70834570175788, 465.07233235220423, 465.37541607134909, 467.19909768503993, 467.41106362358124, 468.30759045426646, 475.54310391518743, 475.64392244703589, 476.35638655533427, 476.91240802045286, 477.23725988233281, 479.03323998800107, 479.81255448654844, 480.47438274652581, 480.53346378167117, 480.98346176820598, 481.00848421873394, 481.23174144103547, 482.40069530023135, 484.59211218646175, 487.43608909866754, 488.16280526636615, 488.32533461437203, 488.54211749010557, 488.66364535825846, 488.78050123286437, 489.23757413973038, 489.85210591337449, 491.82171216396301, 492.30291441601076, 494.33025902944701, 495.99006197749213, 496.27332388092304, 496.76087094699733, 497.1348023979383, 497.48971087046846, 497.86947605805125, 498.1016325581196, 498.62616032193813, 499.00111180294942, 499.92033093355167, 500.03988141157379, 500.24135090188378, 501.0148021577977, 501.8788286381635, 504.03893085766282, 504.36552241629983, 504.68004835891179, 504.90769268087035, 505.51652237158618, 505.62523437356936, 505.70548968519631, 506.42336604544749, 506.54780017237124, 506.92821387682545, 507.02143988187657, 507.26612060518727, 508.22874585536977, 509.85575811997808, 513.79718620435347, 514.2274251229062, 515.22171303217954, 515.892871252634, 517.5678067337625, 517.67876211710995, 518.54836945752504, 518.67642105441121, 518.7969365107424, 520.01209554098216, 520.68679081422397, 522.44971776115131, 523.50868172988646, 523.9942812449558, 524.02464133325304, 527.54774508557739, 529.01253607151466, 530.01737284249612, 530.24553351448776, 530.30134000442615, 530.32602559940915, 531.85316467722112, 533.19294752522921, 533.47243634476922, 534.10361697759402, 534.19267070805483, 534.62406595073901, 535.00687289426742, 536.11619516793769, 536.52510115249834, 536.64562033292555, 538.5030659002241, 538.81972079091815, 540.60219913640776, 542.04650555334581, 542.73125629691594, 543.44410035343424, 545.69794506799258, 546.66309844369459, 546.85643029586117, 547.92545623972376, 548.18155550876395, 548.8602294728887, 549.37137917992379, 549.45637937001538, 550.14039584903117, 550.87342319982372, 551.75018661655429, 555.02244108836931, 558.91219271008481, 559.03601860140225, 559.39377578885012, 559.46162698566957, 559.82693449387853, 560.72243271002299, 561.56166372063376, 561.59219987856522, 562.64087793065482, 563.08340676543719, 563.31841012433711, 568.34375177620711, 569.24097072222332, 571.08141320116772, 571.73850871220202, 574.23245173880673, 574.43211105521584, 575.47500142984507, 575.56296474561555, 575.6400724304774, 575.88764791910114, 577.01829527049335, 578.12544407169366, 580.28816583709511, 581.37204583063385, 582.04615906593426, 582.39438244845815, 584.44719916508643, 585.2087390496489, 585.86358304362545, 586.91681130517509, 587.91636759664129, 588.32431967905904, 589.06486557952962, 589.1577668154049, 590.01643907575988, 590.33848456112742, 590.42316141049764, 590.92323953665914, 591.73821144704618, 592.43108939250067, 593.03944840140855, 593.08003836514115, 593.25947301530471, 594.64319318903938, 594.75349255383537, 596.08233839849072, 596.28010659142217, 596.32600323285703, 596.72420616310001, 597.48866065105926, 597.56305876955321, 597.68754031529807, 598.5446358445779, 598.62240059815633, 599.274072694403, 600.51930653062527, 601.71133513373275, 602.23795275796533, 602.31672776793323, 602.93350080768073, 603.17181894210728, 603.98817161983527, 605.48702529760715, 605.9279891097483, 607.83759761043564, 608.79482441355447, 611.70830638262782, 612.27234061561171, 612.64244225736024, 613.44548744680992, 614.21160704734871, 614.96651605710315, 616.80898581783003, 619.09978971365456, 619.29829258768268, 619.31863617919748, 620.82122803001596, 620.93465857359922, 622.72707041255012, 624.23936586332991, 624.53464583901473, 627.23511265235015, 627.98779124609246, 628.03596095559567, 628.94255354357335, 630.6254605667981, 630.64988301397068, 631.23905816854699, 632.41708148385328, 632.77888677335545, 632.99893240363826, 633.31548502402995, 634.14266134320769, 634.21838745667787, 634.50755277202279, 635.25466614037543, 635.89185890183194, 638.49617082035013, 639.41801027173983, 639.72701027842652, 640.15435316953028, 641.74970792847864, 641.94142649209687, 642.00551614831022, 642.10893476499393, 642.62108228778425, 646.15314079155132, 647.2263466566144, 648.07397609173165, 648.13818687392609, 648.72510416467298, 650.79298311014577, 651.04504949100237, 653.05860203957957, 655.88105382542483, 656.32436972833364, 656.93493282668658, 657.20907085498845, 657.24402897102141, 658.32925354944439, 659.06244944081436, 659.54296647645845, 659.88692402410311, 659.97756218643144, 662.28433701671509, 663.96248066826593, 665.40493748391293, 665.52943816865832, 667.29143351516211, 667.75915089894329, 668.62203218138404, 669.94103538077388, 670.46075390887597, 670.52238501230738, 672.50738771458498, 673.50200524678576, 673.73613997998393, 677.43503773999407, 677.69592836289144, 679.29757936329452, 682.08350848882264, 682.42285535120527, 686.42001777086477, 693.41183077869835, 694.1200563740374, 694.36979029367171, 694.54412151668237, 694.86312972163216, 695.01509531988074, 695.89619522365865, 696.10802668604538, 696.8228652713384, 697.05527039292383, 697.85031751861118, 698.2466981190488, 699.26731150278829, 699.97147668411674, 700.06812988721151, 700.36353533519332, 701.17232559368256, 702.46080460865539, 705.29434256373531, 705.64767123721322, 708.8435979927267, 711.13350611717533, 711.40716643958501, 712.57848130121727, 720.28926040435806, 720.78125942313807, 723.33720015395181, 724.91643913411963, 726.78742218278887, 727.19343843243018, 729.26775940137077, 730.22841388217773, 732.07285781845178, 732.70831920431942, 738.11860448016489, 741.09213235701384, 741.80111130766011, 742.63090165919459, 743.08817011783754, 744.98045397431201, 746.24366801674751, 747.07861179591521, 748.2459499020207, 748.87560634511965, 749.71018243693425, 750.12531637513825, 753.25541628966482, 753.53796161856985, 753.58516105014235, 756.13787673928175, 756.2196608071888, 756.799678335306, 756.90916642977686, 758.58509221590009, 759.28014666734714, 759.31597358442843, 760.60351410256987, 760.63002615566995, 760.76533828912989, 761.47948327290032, 763.16990470432791, 764.39285791679936, 765.08315220533143, 765.31515561798585, 768.10097928576795, 772.31983663421988, 772.48655819045166, 773.44583048125185, 774.31605969006478, 777.12217234990612, 778.75973531864986, 779.78078463288068, 781.33988838972653, 783.250626280701, 783.69024568321345, 784.58720482057106, 785.48803778967135, 785.62304843624202, 786.26304708227224, 786.53281214896367, 791.05842977796601, 793.29724848471255, 793.72891415298443, 798.65916857693401, 799.2702849811717, 799.71082464887706, 800.25276907297541, 801.31312789213064, 802.3143131972771, 803.19815356288018, 803.53360205083493, 804.29443870567616, 806.42217058815424, 808.1804999363801, 810.40223258403068, 810.73452358593534, 811.38981000012984, 811.87593447533845, 812.74179993618975, 814.26040975257501, 818.15862514877278, 818.93475323668429, 819.18903817163823, 819.89636910005527, 820.01089795590372, 820.4859851468334, 821.00637345575353, 822.02101861751748, 824.26319067461804, 824.83431461821306, 825.07813968507082, 827.7416533888919, 828.20095267567274, 828.25282600406808, 829.4383821024785, 830.07160861290038, 830.39235158314, 832.46519412145915, 832.48925734946749, 833.08007818524027, 833.13560374502651, 833.16056711089584, 835.5846585665081, 836.60465085699968, 836.74106974351059, 837.10681155744692, 840.14753281547428, 840.69962372944872, 841.27330813310994, 841.36296758666208, 841.98227921642319, 842.49155908352293, 842.92571091523769, 843.6284190053783, 844.47752747336642, 844.92453208160055, 845.70846459968197, 845.91687350928657, 847.12786449153123, 848.11647989550045, 848.95960602763682, 850.6219687367801, 853.92057535465028, 855.07384926892303, 856.48936280052681, 856.80503134718856, 856.93857626456702, 857.13208900444113, 861.12456657288442, 863.21666880567614, 864.14924320730745, 864.71484505224146, 866.07112372640745, 872.10706923344878, 872.63245548654561, 872.79401857843436, 872.84397255299496, 876.0461096882434, 876.81379266611168, 877.24341059171184, 877.91201932687159, 880.00625400852243, 882.38158941283098, 882.59164369252358, 883.12302943583245, 884.61412403951419, 884.67801000660768, 884.70291206953812, 884.87559491359605, 885.62152089905794, 886.0537365224651, 886.61808193030788, 888.06497484973397, 893.26290792437555, 894.5304881796884, 896.91891706777255, 897.48352261511923, 897.88319542830777, 898.16902001343328, 898.46905090943733, 898.62054725891187, 900.36530444496987, 901.54204496212265, 904.58732271920519, 909.53235234550857, 911.63943100711583, 913.76934219311897, 913.96767132859907, 915.14730137232027, 916.93098773327756, 917.69684128975018, 919.58204503837601, 920.09050162323058, 920.15830974481605, 921.03644119153637, 921.85731161397018, 922.49705710793876, 923.12864944634555, 925.47932326264356, 926.35714826926289, 926.7118219062163, 927.44958622912839, 927.52325659654298, 927.9233139622421, 928.11844636722708, 930.27654969692094, 930.30868064037963, 930.81870285877164, 931.41058301751593, 932.8585480607295, 933.68022580546938, 934.43457366738596, 934.69197966341608, 934.92663169260459, 935.5259245014945, 935.54782996841118, 935.62946860442025, 938.42236963887706, 938.95728998750894, 940.41620186642967, 941.04386185633552, 943.45244054747036, 944.07339629880596, 944.40102552641792, 945.33179259190388, 948.09409981836416, 948.28086157425969, 953.73403712066113, 954.72633337489549, 956.17592783430371, 956.67190527472781, 957.01131426786799, 958.38175022325504, 959.06015975958758, 959.77109399180313, 960.98894894488501, 963.962125063146, 966.69882353642572, 966.7369393184664, 966.95245586977273, 967.21063475036772, 967.94546529670913, 968.99971386209836, 969.1390379152881, 970.27385183343767, 970.54296125531755, 971.18734110089133, 972.22012866237424, 972.93989076020273, 974.60797721241454, 975.07663414199374, 977.57237859425754, 978.92362562248422, 981.03932840310665, 981.13984307777878, 981.98996218953721, 982.20306577049644, 982.88597731598634, 983.96265156022855, 984.00465825674939, 984.10271821904735, 985.31293286068433, 985.66611406980303, 985.7083687968111, 986.24780670167161, 987.09976071115045, 988.05922636134255, 988.41018081254049, 990.39970454751483, 990.50256183818658, 990.97541356302327, 991.01240242164999, 992.43684206024307, 992.70967670273831, 993.36286644420272, 993.96774767253783, 995.47749301734211, 998.78404213828412, 998.98655597567267, 999.45375168439136, 999.74690148901618, 1001.7633025545045]),array([10.370855205447127, 11.685625935869908, 11.991129592210536, 12.069299612852538, 13.459794677363004, 14.324723122053829, 15.000332344954616, 15.520983543263442, 22.525929995026967, 24.816972621160069, 25.456910645367795, 26.69098208113197, 26.710993648395078, 27.340346207712972, 28.119007063997653, 28.673221407438227, 30.63058008812806, 31.2756341856456, 31.581248019766669, 32.854810528793102, 34.506601123069004, 36.375822791703484, 37.083661806364141, 37.78686408706168, 37.943516975113454, 38.066186891979974, 39.847933314232613, 41.152412986571328, 42.624598710518711, 43.036327959176639, 45.273338549732394, 50.760283290718618, 53.482260234544064, 54.303862410992998, 55.083791363591537, 57.099703519440929, 58.354400320582329, 60.459036614711692, 62.860920685543519, 62.989011370448729, 63.12904347248098, 65.002572560607732, 65.270584446687067, 65.333958248961835, 66.378731086594698, 66.677325862637673, 66.772522303399413, 67.131884267666024, 67.561869577209819, 69.082527592885569, 69.286523996912905, 71.346508068824846, 73.027648400936101, 76.716542315572312, 77.354630090390728, 80.75473464663088, 80.871241093310445, 81.371089665732356, 82.557879131601425, 82.947119578083374, 83.93360713605837, 85.680106108978975, 86.911848650614985, 90.207143828405307, 90.233582939790594, 94.447237337277329, 95.472048798783462, 97.782564939282977, 98.458011986790822, 98.703912336651996, 100.08104707306946, 100.92179230804487, 101.45848126349566, 102.19699735085618, 103.6650756961819, 104.4976127830068, 105.16108092266974, 105.26743499095817, 106.27149192324727, 106.35416842147687, 107.80647390026947, 107.83553683257847, 108.50900107470552, 109.06156649194972, 109.67265290818899, 110.30936383363476, 111.89118163715605, 112.90441305016178, 114.15132372946313, 115.46470770379969, 116.02862203350848, 118.60504772672118, 119.08704288017107, 119.81337181981256, 122.45620374300222, 123.36756960326036, 124.39860413617686, 126.59733305898743, 126.82881120708724, 127.23070724067207, 127.65459579034125, 129.456768266582, 133.33574739823888, 133.70291002531107, 135.71013014560259, 136.5891373935635, 136.84194054490814, 137.65211087201837, 139.34037513134902, 139.48340107646985, 140.14623730706737, 140.65205382286155, 140.77038604990707, 141.12137484427183, 142.63307828497713, 144.60358271249851, 145.06992556759337, 145.95743283742473, 146.11841555903311, 146.51521779556376, 147.50472890226854, 148.58121255418871, 149.93159824604228, 150.20710417289536, 151.42734903483793, 153.04178101897747, 153.32209813464075, 153.50017524308379, 153.77028719350884, 153.95262019385152, 154.47809799809397, 158.73186399033881, 159.70677256357951, 160.21038076427465, 160.71881451149773, 161.41293283773399, 161.62169058042826, 161.65574940646582, 161.83322318155498, 162.34324188811343, 162.72630395827727, 162.77661490492076, 162.98454540695187, 163.49688483470436, 165.79916793501528, 166.59731039934684, 167.12676033241945, 167.65993522122179, 167.87081830308264, 168.10211463278335, 169.24064576646148, 172.18929747851067, 172.55843105303398, 173.88674427885599, 174.15036351040419, 175.04612844674992, 175.70679261780074, 176.71935165970925, 179.04442641700695, 182.14459903911109, 186.50807350764504, 187.47028070019067, 190.32042017873684, 190.57341391519384, 190.67551849933895, 190.84656431063306, 190.95208535630246, 193.24707348543464, 194.02917176672497, 195.40730798537342, 195.64223623761612, 195.82627294479997, 199.8666011688843, 200.4093654170938, 200.94991535980589, 201.33494838833835, 201.94992416782739, 202.58028517503894, 202.93025262395082, 203.40090116511934, 207.17601264399707, 208.79547129364946, 209.3930592519917, 209.59041900895937, 210.19063948569385, 211.15923192906578, 213.59800267628665, 213.71974121367725, 214.03439493627528, 214.6858944684536, 214.96420879097164, 215.73383331915332, 216.0365112482904, 216.39093122362559, 216.58060567735157, 217.26839145065574, 217.32291596904366, 218.25734933047724, 219.77643254829258, 220.04408472971218, 222.77634528742496, 223.53120454717524, 224.24675757135478, 224.70571492797166, 225.53006455742107, 225.57805558177577, 225.92902374973332, 226.61691905142266, 229.37148153669, 230.74105521790071, 231.48632439251864, 231.92849334736417, 232.10033995681624, 232.20850665314444, 232.29514321128178, 233.88886487955605, 234.01104645710862, 235.17292367477233, 238.77314102468412, 239.53312351745598, 240.69693393032281, 243.97436931825627, 244.98118307666732, 245.23140423033078, 246.19862033746321, 247.45463224131547, 248.32289693438068, 249.86924076344934, 252.96691550393552, 253.01844667078493, 253.34162619650806, 253.48938352708666, 254.66369792389273, 255.11668471496617, 255.21531542008336, 256.03085933016831, 256.29626208521069, 256.67473115855199, 257.78310249784079, 258.4500549576677, 259.09194583412142, 260.18549355681319, 261.23431114604665, 261.27305514986159, 262.25439322696826, 262.75802240757258, 263.05574898753741, 263.37946411798396, 264.66241232081586, 265.36977785056109, 266.13868788236306, 266.46046400123299, 266.86582599385633, 268.55051915897769, 268.66202777637682, 269.74723097957036, 272.80720027959143, 273.29578383343159, 274.62679752404199, 276.63131229819641, 276.76990279849724, 279.34542639104922, 280.49793313227906, 280.63108888914297, 281.16396492495602, 282.89035781409495, 283.68181982331015, 283.91667413416525, 283.98063984663332, 284.67007344966964, 286.7957201035137, 288.01544846096641, 288.44815627537872, 288.58355680045207, 289.58160126870536, 290.81668739499793, 290.87660284154748, 291.10961495404234, 293.0447063762233, 293.32223069136916, 293.38547575777147, 294.15624256814129, 294.40611889171868, 295.11031537875198, 298.236266094933, 298.63114103154078, 300.82244181047537, 300.9395098173668, 301.59280492622798, 302.06939083717754, 302.38675194221429, 304.09640792155267, 305.79470773518585, 306.65662382784939, 306.71279434895229, 307.53082097403944, 308.29475297149543, 308.6404760289754, 309.76500537007678, 310.55759888348638, 311.39769804835618, 312.78602633443029, 313.1631787343739, 314.87821077390964, 315.48362173188235, 316.08116456895249, 317.9065679708321, 320.19014204315289, 320.34185264968482, 321.21391109163329, 321.7599206634448, 321.95928477560415, 323.84988362370711, 324.75632693392924, 325.0922015172323, 325.76830399330248, 326.61318809176026, 326.8077118721327, 328.17209493716035, 329.9826353618887, 330.73493232646166, 331.24862262510464, 332.83822290604127, 332.9924781647465, 335.03450818198871, 335.22659649409439, 336.88935301356071, 337.2830402296521, 338.04562557608347, 338.76368838912265, 341.54471200849213, 341.64987691141283, 341.79784758365469, 342.65000265277121, 344.50127919270534, 345.11385134390019, 345.36050279900422, 347.14069777179833, 349.97209657239466, 350.30249421354523, 350.70296586481624, 352.04558834832471, 352.5793110646095, 353.23785187343304, 353.55063539610973, 354.86098952840473, 355.89536201146467, 358.17044861720132, 358.4146734993044, 359.63929853984462, 360.12507283573876, 361.04039339420763, 363.89831735870638, 364.0763131273311, 364.2896775785789, 365.17347652014928, 365.26529492983758, 366.16251966848233, 366.60649723770229, 367.54433232471814, 368.15531408833971, 369.26667331178339, 369.52402184501943, 369.84637941461284, 370.87576962682027, 371.19370081132558, 372.1778563529723, 372.60925113881177, 373.10409717942474, 373.58583194519059, 373.86797724195475, 373.90131850561141, 374.39206221610715, 375.24933416763145, 376.2914359720769, 377.45568455828243, 379.3898795338045, 379.95841949025208, 381.90348761792956, 382.12316792883399, 384.18999375816583, 384.47342622409457, 384.65110401509168, 386.53001210689467, 387.13026048148686, 389.37203654620976, 389.674898049371, 390.8854013028224, 391.17308802808213, 392.20344119223597, 392.35668054248828, 394.35235904423223, 395.19785320346745, 395.36340058598699, 396.77457561882858, 397.23072963767686, 399.28401406842528, 400.56009874529786, 401.01181603763962, 401.13972757739469, 401.34105457085633, 401.59565472114213, 402.79330997281988, 403.58406315353744, 405.76143404014351, 408.1282989133224, 408.94748726215113, 409.28705415455926, 410.46522434690763, 412.11957831987627, 413.13133659828685, 413.16332902076596, 413.91465000206352, 416.10969706211756, 416.56489189682588, 417.14902744813423, 417.696708647268, 417.8122446227552, 419.1558970215554, 420.8691229625062, 421.13116010130148, 422.12481051624047, 422.42970046456367, 423.7777183504187, 424.22818467513281, 427.22860565737051, 428.52342220220697, 429.49428037277727, 429.60901709452924, 429.63615777384553, 429.71509536419956, 431.23527618786193, 432.34390246582325, 433.6904812192173, 433.8777061611471, 434.46762462009758, 435.57306944138998, 437.8880991589017, 438.42216802651944, 438.86096932240082, 440.79632186124098, 441.43485593968524, 443.15254804269495, 445.29199015381016, 445.68008768568649, 446.22432172363318, 447.18460433643781, 447.30442712256826, 449.58110199257379, 452.190797398379, 452.85970422255053, 454.57412613997428, 454.95749569617448, 454.9882145606079, 456.81099204672341, 457.41845845871791, 457.67734468363568, 458.03936023884575, 458.85695728439566, 459.58841136449303, 460.41165044758083, 460.52679507035333, 462.69572784732117, 462.89064444106128, 464.18793400754532, 466.21089617779234, 467.02014066349716, 467.8930702131907, 469.69564452598974, 469.7716636183797, 470.25854375856431, 470.59481724591956, 471.24954912431065, 472.36995267827382, 472.93407125608201, 473.63287375637287, 474.46343566990862, 474.62692096242472, 476.91499752956406, 477.2531285370423, 477.63111624836068, 479.1689195817882, 479.4178790712059, 480.01684764488999, 481.22650024050756, 482.0424593822799, 482.48452476568423, 483.85070009118812, 486.94660935833741, 488.00576901875718, 489.97682697065318, 490.75921678282253, 491.99953169829149, 492.32761829232004, 492.91637893155411, 493.50329456921071, 495.67356600791788, 499.40128546109514, 501.34001634411374, 502.40775688143316, 504.96965117123835, 505.01244224733989, 506.30535847184632, 506.6977292995021, 509.57635749644174, 511.82129017078159, 512.03346752878508, 512.12291788843265, 512.56007155166185, 513.94565013257477, 514.06584916936322, 516.31087221242137, 516.45148170196819, 516.94944473825296, 517.6934187607211, 518.6978595101599, 519.79952823213193, 520.45422588262284, 522.17217722256294, 522.51656220713937, 522.6850710542642, 523.37706954218845, 527.47093167892444, 528.59433599484555, 528.91240880245982, 529.27673598776528, 529.84209919547106, 530.46462252870106, 533.10458300177368, 535.53746939748169, 536.5695115106837, 537.95153516109849, 538.01874239451217, 538.12247647531331, 538.44130914921516, 538.65379859493169, 540.73693626832096, 541.24373958617457, 541.55956060669394, 541.84037827467046, 541.87179132805556, 542.93401990153848, 544.10326879755007, 544.99085380769179, 546.46905245610515, 547.7319870514807, 548.187076882675, 549.93723983640007, 552.23809983526598, 552.98048742818946, 553.31095004992176, 553.66114385353956, 555.78929603176186, 558.44371741525936, 558.58171882581109, 559.79273890238926, 560.50570924456838, 561.63935333625614, 563.37488765604269, 563.41473771938081, 564.6111106880976, 564.96184438333762, 565.11612298834257, 565.36149342756335, 565.52411854668469, 567.85170055204594, 568.66943806324878, 569.83237591497596, 570.06774478268619, 570.22758775486204, 572.11464505152662, 572.14694044892303, 576.27160960032381, 577.65204276370116, 578.03314842210148, 578.17526981339597, 578.36277775903022, 578.90153847587862, 581.46053608077011, 581.57257907235703, 587.25877221148255, 587.96923922858241, 588.78777993644417, 588.81274433403792, 589.86508109959061, 590.84452872330485, 590.89739199641747, 591.82775663437201, 597.18282951998049, 598.32749117577873, 601.83272956041753, 603.22642047606098, 604.15961029815173, 604.36693673987247, 605.96322726054302, 607.14929591562225, 609.93062346617194, 612.2131893236018, 612.4809404540872, 612.91807257465564, 614.29243755065249, 617.07585370117408, 619.38675826127951, 620.22705941612764, 623.93835709202949, 624.04618632863412, 625.29543000936758, 626.95016218184583, 627.17186876214384, 627.22699425431051, 628.05215866998788, 630.47684940581291, 630.81789860562151, 631.80809147829837, 632.50437211497854, 632.7429007974257, 633.17058747531803, 636.22943346169859, 637.17911314764956, 637.57976526880066, 637.80561733951333, 637.91971559829335, 638.8879074922105, 639.18868115041334, 640.28293686008601, 640.37833962492243, 641.47943099968643, 645.86821168051995, 645.95629969980678, 649.39745508605586, 650.0000732335518, 651.42516732332717, 651.49174001863037, 651.53177160933853, 652.05196874329442, 652.68755787956854, 659.38081572733802, 661.75705534779161, 662.11321189600665, 663.93397842613876, 665.38267044345343, 665.97860414685795, 666.09898819379828, 668.42899738055792, 670.72914699969363, 671.10565680269895, 674.21574360497482, 674.24302472881402, 675.36486263523261, 675.72873250992575, 676.2350082653428, 676.58801788016376, 676.92190185632671, 677.92482731884911, 679.41965398309696, 679.80551006192206, 679.8349458131288, 683.34233565657951, 684.01038433615361, 684.04052879911819, 689.10337190629855, 691.16943427286571, 691.30259740801262, 692.54678134574851, 692.75953583163516, 693.63704945791778, 694.86163334898697, 695.28880918614982, 697.14200050946988, 699.07682888395163, 699.52189505377896, 700.68005602649555, 701.86116943742252, 702.95935975357315, 703.98077087701574, 705.80702549054524, 706.05114804893958, 707.44310564428542, 707.8425119599251, 710.86761015554828, 711.11723326498998, 711.71394787382167, 712.48205634840781, 713.2929195446045, 715.77400375487878, 716.46944785121752, 717.87268909286468, 719.36936927984664, 719.65861926446598, 719.80205760436877, 720.00062425530405, 720.81111089411093, 721.21314669379751, 721.58864049355111, 724.23646177466901, 724.44629444990858, 726.33360266203783, 727.18493430964998, 728.38638270132844, 729.1537097806472, 732.50743836962749, 733.79867060108882, 734.17836069981718, 734.41609583732497, 734.54570074329797, 734.82119354319627, 735.23047597260086, 735.90122080326967, 737.62883701556859, 738.37777272120002, 740.13526869516193, 742.4526137710626, 743.37321781492335, 744.28892124532285, 744.6716095243396, 747.07657577898431, 747.94160163705726, 749.37497582656931, 749.89033130723828, 750.15235194127376, 750.18709251315943, 751.69661478419289, 752.32563645354298, 752.44437195126079, 753.25104505158652, 753.5167152676355, 753.84818989254563, 755.26220524207656, 756.92561822158609, 757.62443175979013, 759.88234607572031, 760.05008053641598, 760.511250198889, 760.62330778640285, 762.23925085553014, 762.7810191429852, 763.35172787761383, 765.66621902574548, 766.46968895652617, 767.46145038990198, 769.56872054087762, 769.85512336492343, 771.99518055651447, 772.46099044748792, 772.48305777278154, 773.88003933538289, 774.12253424880703, 774.53141503531515, 776.55716681592264, 776.75688082778993, 777.12254099942299, 777.68929158915842, 779.24007997213357, 780.16958601764873, 780.21098906772727, 780.80372724480492, 783.43086918391759, 783.86123472165036, 784.84254478732134, 785.70910017909625, 785.99203472859233, 786.09061732135615, 786.1199997787262, 786.3111682343432, 787.06372224631184, 788.85202553618342, 790.03039130888703, 791.66659721968176, 792.41112985844825, 793.77611778373364, 796.53813000824277, 797.61159813610948, 797.79945379024025, 798.06484574361423, 802.61365379583924, 803.80963188144915, 808.98563631103946, 810.11007376980172, 810.40584674136971, 810.54500982025183, 811.93448169887756, 813.1139238539148, 813.6815697990429, 814.57757210905845, 819.08838380394423, 819.11286462207897, 819.93210937972958, 820.01826352729802, 821.59602390360044, 823.41874004434351, 827.03647008260896, 827.19003474181477, 830.42548376095601, 831.12051874402027, 832.17456742083448, 832.47393237328413, 833.24318817386313, 833.57564137257407, 835.49992068848201, 836.89323853494341, 837.16214034143684, 837.21529595453694, 840.26352973059215, 841.61783099159823, 846.21807267971474, 846.75830239594609, 849.46337286500057, 850.29062458444446, 850.76316826285222, 853.61796428858065, 855.6081599583091, 855.67894084071054, 855.80284527088963, 857.21409941003992, 857.92920369168519, 859.99414204574828, 860.32005705544088, 862.31108527537106, 863.41496923871341, 863.6025230225672, 864.46758538433824, 864.77957196170416, 867.92713848570872, 869.05950006445778, 872.19018648360395, 876.35958051332557, 877.54761463810894, 878.48655096927655, 879.41615448300456, 879.56421849045296, 880.47346730150355, 880.67452844709783, 881.05690375598647, 881.94155233790468, 883.89948182798503, 884.99867044382643, 886.77423448440982, 887.0632307991408, 887.96510106566348, 890.28182603970686, 890.46008195690729, 891.35588624891727, 893.21893409295353, 893.90341736435755, 894.62897898163203, 896.11099230701166, 896.69573440276554, 898.86366247181513, 899.49849058666155, 900.98462261735779, 901.42956231117387, 901.84696732978, 902.35030563836551, 905.34080136115494, 906.11410679793505, 907.12199851338391, 907.52665717703292, 907.8505493315738, 908.35338557831744, 908.55737488360137, 909.36893473610382, 910.52526459317414, 912.21729468246428, 912.38962006864926, 912.41008334692071, 914.04025207036557, 914.7921867361174, 916.20766473227093, 916.37213761677776, 917.37660236385909, 918.00128370063658, 919.91733783319557, 920.28607082291751, 921.08911615605109, 925.38504702114494, 926.25153368761391, 927.82475140834879, 928.22196909168508, 929.40778497685517, 929.77107077078642, 930.36121265505255, 931.31536790502309, 931.88563783681445, 931.94854909781304, 932.68911698781699, 934.65780695881688, 935.35650994619357, 935.61842919706066, 935.74056842102846, 939.26687724857584, 939.41966657274997, 939.78789066604179, 941.40508077351228, 942.02169450388601, 942.39493339565752, 942.44951591724089, 942.87549547185563, 943.66323834046307, 944.30576423552827, 945.31291093610776, 946.19052175525167, 946.21364007144302, 946.29638024040491, 946.49003851751263, 949.17060879115172, 949.81859414489111, 953.91119480075258, 954.45782234378817, 955.51317026602715, 958.16208679450983, 961.11191104437592, 962.21555674598983, 962.31515155754619, 963.16383635275974, 963.76928144651129, 968.35905775283732, 968.54253362600207, 968.66519111247726, 969.24547132743533, 970.6178186322104, 973.57180755486684, 978.49704236879484, 978.91832952213099, 979.02310631675255, 979.29001540988429, 979.93029858976263, 980.93133366336656, 981.72352835377967, 982.7546322892631, 983.05698827347192, 983.3465645412723, 984.74255441315154, 985.31898057048397, 985.84983039239341, 986.51918323773748, 988.42461320011262, 992.01121769814199, 992.69530175631508, 993.18332866957405, 995.55292575905298, 995.78492177576356, 995.97528490349725, 999.10198106713267, 999.38509042467854, 1000.1345989195307]),array([46.051061114759051, 47.582375209214369, 51.142395099529914, 53.22298563311449, 54.713445660756413, 56.196646193674788, 56.292247238542494, 56.769837408292069, 60.315897720106221, 60.845399348466572, 62.20583661567742, 63.954576679053837, 64.152564210893686, 64.691171544461795, 71.040260263194028, 71.544412848918, 72.392740376598184, 72.542231448136178, 72.664690793622839, 73.121992038366216, 73.176153377814941, 73.554471573737786, 75.40041625231521, 77.633302788034271, 80.058978361923138, 82.436700911265149, 83.224186941394635, 83.579195487487169, 83.863206006236112, 85.503188919787462, 85.933077989440051, 86.123529071716021, 86.413626622549529, 86.464557582043554, 86.648062328979265, 88.176778749618023, 88.309673684438579, 89.340647860303932, 89.555689373180556, 90.118347135610335, 90.199476686175714, 90.345020942874456, 91.429484263823412, 91.474992328229845, 93.160926887853137, 93.883862186290727, 97.719097336837024, 99.121095089162409, 100.05499740057395, 103.21662583829011, 105.3356163760417, 108.65014569969897, 108.72584704387202, 109.36578086601456, 111.3855028489028, 111.47370013724404, 111.70507113271869, 111.87789275176779, 112.20663739767171, 113.13604222070984, 113.43964379180608, 116.60473165103416, 116.97930718008412, 117.59602068785374, 117.64230569237957, 117.6896224065667, 121.10372983427339, 122.87120857758669, 123.80901760976013, 124.1505119345169, 125.76050106374785, 126.18029993894935, 128.15389721149776, 128.32097064168696, 128.560714462438, 130.7618980129588, 131.13996558772661, 131.47555256168937, 131.98789225351419, 132.8913735222591, 134.5991469226901, 135.07393840129797, 135.46277440894787, 136.46002190009315, 140.06198700299129, 141.09639638846599, 141.26563480719631, 143.44485666819932, 144.2808262699065, 144.41064490956558, 146.88764217473496, 146.95394661877376, 147.49351886730727, 147.64943182516851, 147.72961222013407, 148.31554715054654, 148.34930462108088, 148.48956271466469, 149.57730694019, 150.32729287960726, 151.04908695231339, 151.56737405618262, 151.60285749488077, 151.85806765322735, 152.88711908525883, 153.51713333230617, 154.25414421193594, 154.92696828147132, 158.15261745936007, 158.62907704154117, 158.69373387083311, 165.09074432360347, 165.43471732891052, 165.61699489613503, 165.86306241418913, 168.80867639159879, 168.83746594912847, 169.62051058220965, 172.64707636855215, 174.46140203308829, 175.91271932110737, 176.35199301445414, 176.62187483265211, 177.09309952760904, 177.19172179224554, 177.94223588836704, 178.93264827957432, 179.7795256739347, 181.0107481523693, 181.70549118205466, 181.94252163361568, 182.44303551932521, 183.9427002797122, 184.20167944094604, 185.20923338387414, 186.77910485656182, 187.03549159172908, 188.20389838053717, 189.34702799859008, 189.58438273557022, 190.77919166700181, 191.60046541567988, 191.75412964018062, 193.23283847759723, 195.89044522710103, 196.46010162947584, 199.51390259290574, 199.72048312216458, 202.25438006555993, 206.31204121115155, 209.41602950416464, 209.93503215712397, 211.8006083161263, 212.29525583904248, 213.6756758842682, 214.98274998810226, 215.77342150482545, 215.90039274184267, 219.31208907304526, 219.41749326003861, 220.04702353962247, 223.80022965853158, 225.20469475853452, 225.81545624877745, 227.42592929533095, 228.41223605593285, 229.55056806705559, 232.14317799988049, 235.28963107461863, 236.94823370784991, 237.32341447622645, 237.62413808353816, 240.53293148565254, 240.60667868972408, 242.4259382185119, 242.85725805662784, 244.1280750723063, 244.18256454917153, 244.37450220553009, 245.16391218948326, 245.29918834986992, 245.57870929834388, 245.74294069334195, 246.80712574252757, 247.02493756860105, 248.32455174728105, 248.87194945728982, 249.23664007485874, 252.73416406072712, 254.37900035399579, 256.18710234120596, 256.80147718005907, 257.47348488816243, 257.66541376010065, 257.82177966128648, 259.148875890049, 259.25992109240963, 259.28224635140043, 259.62536319396628, 260.98217563136399, 261.77888856506792, 262.97788936532902, 266.02815248405091, 266.44301397921629, 267.57775929760913, 267.67249722765985, 273.15669977354958, 273.27097717439153, 276.97918380962943, 277.86360745088109, 279.21426947130811, 279.85581458419256, 280.85587511679006, 280.95614772686559, 281.34636619516129, 281.39339446991869, 281.93322154895412, 282.78139609631654, 283.3927209055625, 285.66341962620197, 285.94429657868028, 286.90562404795509, 288.3967525176941, 288.94402224132051, 289.08617242437725, 290.05490902208243, 290.12875904327387, 290.1536080391158, 290.44863624258801, 290.75295369878569, 292.68533370862446, 295.13558317059739, 295.18027611497962, 296.52059750432039, 297.07668935878411, 297.65314242279265, 298.4835504624462, 298.84186834012411, 298.90123989074067, 299.03353867358493, 299.76371913562087, 301.51553434814247, 301.58974714824768, 301.87251239899803, 302.20758377209967, 303.33058359813447, 304.09443606047182, 304.49684767435468, 304.85965159890992, 306.26716442725683, 306.40169498500529, 306.4887753833371, 307.12011915955958, 308.71607838093098, 308.98467979341928, 310.69324194310593, 310.79639476691182, 311.21024904935479, 311.50901358038755, 311.62623680011149, 311.64686923211576, 313.46051106542086, 315.74048426470824, 316.71505700984721, 318.38721598538183, 318.62917976660663, 320.26860105669607, 320.38449175933772, 320.59032593685987, 320.8944992939434, 321.58400211609933, 321.78938746895091, 322.24328611895714, 322.60100329117643, 324.12241986079698, 324.3886134870321, 325.00061321984271, 326.8826678959212, 328.62427207607237, 328.68934361273483, 330.17582403943419, 330.72168249708267, 331.96268750292131, 333.69625480775085, 335.87147748901981, 337.20186394109862, 338.7385439714065, 340.32898079855471, 340.65773197328684, 343.26620365743753, 343.59435613372563, 344.38130456808676, 344.71006620670374, 344.731658238367, 346.84564566244785, 346.89543799263146, 348.86599040541762, 349.13963085155939, 350.15214308954273, 350.34998903384314, 352.40778764194823, 353.39321430037654, 354.33962786805478, 358.1159054326929, 358.49499650936502, 358.73450322809339, 359.27440802765358, 359.7489025693979, 360.49920968296198, 361.69182719877023, 363.61442029145979, 363.87610635330765, 365.68880931619009, 365.88004150610652, 366.64181616312067, 366.91214779906608, 367.58712664175835, 368.56543322362961, 369.0324564308479, 369.29539677825727, 369.33293774249529, 369.64260015303097, 370.98296206957355, 372.27918273657599, 373.31240448387791, 374.41470497745797, 374.82652232159199, 375.30166222406228, 378.01556258960966, 378.19701275466866, 379.18861243124252, 379.23433356446378, 380.06371070419704, 380.41592618661178, 383.72578249600218, 384.70415254131569, 384.85353753117749, 385.66341269533177, 386.35922644452228, 390.35344363100285, 390.57048204634361, 390.68014677415954, 391.32647319473273, 392.18880558078769, 392.79348581252833, 394.90103540316704, 395.40161685811773, 396.58902368195726, 399.50730591960826, 399.88168854403824, 404.43861429949317, 404.75277258130899, 405.81853102073444, 405.93036151337009, 406.26996677977479, 407.16746693140016, 408.69389018067227, 409.01341725032, 410.56181948619127, 411.17702667315939, 412.05360755153634, 413.78789644560089, 415.55695812040778, 417.39404509833253, 418.21688359499768, 418.50882415907205, 418.55946122614915, 418.96526897483892, 419.64200488378344, 420.72745139238259, 421.50434390213564, 421.83710942114533, 422.69474621209639, 424.82537287631186, 425.72402168164353, 425.92311795613267, 426.07774725616628, 431.44417168264249, 436.55829958607075, 436.97931914415881, 437.62398809050438, 438.00969509370287, 438.62461304683666, 439.88073320909047, 439.93423354251053, 440.89211535842406, 441.49985264087286, 442.75821593395187, 444.96418093898626, 448.23989262409026, 448.47462380120675, 449.32559119424224, 449.44635263013527, 449.59877192795176, 450.30730343271301, 451.37091138187236, 451.82151031128416, 451.84359793546884, 454.04665825447739, 456.34371124772696, 458.66596274983419, 459.58163182131949, 460.04188394315543, 461.87744120763148, 461.96858377174601, 463.02932400241951, 464.03575534577487, 466.15863705246198, 471.11805467841879, 474.27077277906955, 474.88384474560507, 476.21618033565045, 476.48101052827343, 476.54293000633288, 477.05842636951337, 477.67248133687764, 477.91148881549816, 478.4714272406186, 478.93169225388039, 480.14355637609378, 480.44504046719271, 481.07626421332048, 481.86385214785287, 482.06218087824271, 482.46262732258077, 483.4973597810976, 484.50847810969844, 488.89447038711887, 488.91613697721692, 490.25974390627061, 490.81181249580175, 492.10764015001263, 492.14688787723378, 492.87301880094373, 493.81593230366332, 496.07111440936154, 496.32354315380672, 496.84859163268106, 498.3399195112201, 498.89319752185577, 499.0496027705579, 500.12878987632268, 500.43887679936, 505.28682233923558, 507.51944646206704, 508.70468269710682, 510.97122095347493, 511.91490587582149, 512.89652628317469, 513.30462822220295, 513.70043443656857, 516.0582799704963, 517.97414599037347, 518.27853416785513, 519.27460994507612, 520.11663180130586, 522.38271567941229, 522.51571261226047, 523.61993597092635, 524.70604726314446, 525.13349512246759, 525.52335959709683, 528.43798639010868, 530.50137010705726, 530.96944855138418, 532.22020743213022, 533.39525537956342, 537.43871129307217, 537.75683253997295, 538.80386459739839, 539.60849457497022, 539.74816395145888, 540.91490006119579, 541.9116744943334, 542.23016787966753, 542.74019107645461, 543.28384849435611, 544.46508845472283, 546.08124102258807, 546.32583535629487, 550.09214038894788, 550.31144341983588, 551.18681214600088, 554.21793995192627, 555.07497609207246, 555.75075198617321, 557.9915769170658, 558.13610252249634, 558.22585312090166, 559.82187565265576, 561.14312276650696, 563.68495956540301, 566.12921057563403, 567.78627182861305, 568.91373717504473, 570.47763157944735, 571.72131142601029, 573.02588697344993, 573.77532326934636, 573.89121775237288, 573.9921551701899, 575.5920867423996, 576.0948413962642, 576.31625907641478, 577.49186645656482, 578.21075928933305, 578.49718873864879, 578.67646692205255, 579.60196593149828, 580.19144132403221, 581.75695234444095, 582.07554462563883, 584.54391472076929, 585.1058056316582, 585.29648393039542, 586.58480285229712, 588.15634705283571, 588.48867937958676, 588.62722585972108, 589.83940091513182, 592.10272686719543, 592.33683705495491, 592.62216233380661, 592.83320002084645, 593.12648511034683, 593.40513402209569, 596.43568567915281, 597.81133807304604, 598.96195030299475, 599.45951886844, 599.69616581327989, 602.48970735549028, 603.04652290331501, 603.90692334861455, 603.99563606243157, 605.78062270081614, 606.01928856913423, 609.14416079681735, 610.24028356452504, 611.21541774516629, 612.38139481019505, 613.54336345524268, 613.75295500282698, 614.73857400368865, 615.79104480170372, 616.30822867474319, 617.58612211819968, 618.43794595546569, 618.61251519407142, 618.90942541436766, 620.49684141462853, 622.38369770985798, 623.30067473680026, 624.50228418443896, 624.76004288064723, 627.79997050542522, 628.00592077381884, 628.26821783089315, 631.1819879452712, 631.63439556602157, 632.25708105160822, 636.17551655279476, 637.58893201347564, 638.80204960518756, 638.87122208268022, 639.8105128026973, 641.7393731510881, 642.4087722978403, 642.85015063249864, 644.65799373749746, 644.72323494169825, 645.67670968321636, 646.05751220988361, 646.80448133456434, 647.29957968258373, 647.62277737553404, 650.10680074010202, 651.04262465191482, 652.8915293481358, 654.27249465173759, 654.40618408486353, 654.58868871115749, 656.0942934542685, 656.40807776255951, 657.74428185663078, 659.08895355782192, 659.69032129125821, 660.45088959472957, 660.8663171127597, 663.27230370563973, 664.29116697599386, 665.10365790562219, 666.77344940695184, 667.06577803070502, 667.9207653391818, 668.68598824867422, 669.44090450621695, 670.84253439634722, 672.53660359477374, 673.37721680528023, 673.48028475648232, 674.5530548436717, 675.99601372458665, 677.19711534751684, 679.95798765191535, 683.60960101478065, 685.41976312303882, 687.60836137268791, 688.43853276480741, 688.76101040379262, 689.20600366229678, 689.47620152404579, 690.10752490901189, 691.25035087766594, 691.31951812077, 691.92085077496642, 693.68197938617948, 695.64304866028272, 696.4371564632379, 700.63168516908195, 701.81649648643122, 702.61089980419047, 704.75865663509205, 709.04019392434122, 710.03526903829811, 710.55860479510784, 710.70265910326179, 711.78464199910434, 712.34949694449199, 714.95573542340753, 717.30565278814527, 717.88435725708132, 718.06046450974566, 719.79082793200598, 720.48695872906205, 722.26698049001095, 724.2198518589978, 724.57747681656338, 724.85575525290415, 726.0930939562154, 726.8472619536808, 726.9284926960496, 727.02757538553681, 729.9058798922822, 730.66007379359587, 732.64816244236124, 733.12652893111704, 733.5602431416969, 734.30308792804749, 735.42087116609753, 737.12050384406132, 738.01550435814102, 738.36219814777314, 739.76544573084027, 740.5901734790649, 741.33730350403334, 742.34626890302832, 743.85521431525251, 745.13417559920674, 746.46131990974914, 749.13663112880897, 749.26493199884453, 749.7705009581158, 750.33980832486111, 753.07547568163761, 753.90328200734518, 753.95729671116737, 754.12082584596419, 754.55827021964956, 756.03716937167007, 756.09801295754255, 756.64303764992644, 757.35204886045085, 758.44179573754604, 759.26848705260863, 759.44667020786164, 760.09941399003526, 760.90965223832063, 761.50362222827607, 762.98737785080993, 764.13586881612514, 764.34870542139163, 766.58830097196051, 767.10773250156444, 768.95884397843599, 769.85204135861909, 771.98466647241048, 772.5794328443626, 773.64775870005542, 774.25458165885311, 774.61328655271871, 774.65466682395254, 775.59921059926978, 776.32008375749228, 777.26354012507682, 777.67193196583821, 778.65481894527841, 778.70288596941873, 779.32198805167025, 779.42433032284134, 784.41657272702253, 785.27516420384779, 786.38390091349231, 789.61699716927671, 792.03140191719433, 793.00583876757253, 793.63825662765305, 794.2525843107876, 794.84148139723311, 796.53797603247938, 798.04113394940771, 798.11545852052018, 798.7898108951515, 799.39973574384146, 802.15707397307483, 802.71980096364234, 804.8270790706157, 805.17442951622957, 806.10085314995774, 807.93458092534092, 809.07113983999056, 809.43065885242243, 810.12020866894989, 810.38665854121803, 812.81292284245183, 813.77933117118596, 813.84077716531988, 813.87947003509362, 814.48903640163644, 814.59722764317019, 816.08824949134316, 817.19986494839793, 820.98401849556205, 821.34741407976037, 822.29719986646546, 822.6165218951727, 823.00738199033367, 824.82105987775731, 825.30897297440447, 827.1704987422919, 828.08755691010174, 828.51103568139888, 829.49509552268557, 829.61985263238432, 832.07393567147039, 832.66001596731758, 832.72036145633945, 833.37176106846607, 834.18302169228207, 834.34039466425361, 836.46929182626582, 837.522250666275, 838.02690429849474, 838.41913459504053, 841.1543084692986, 842.07575490712372, 842.60337041453818, 844.44886161499187, 845.4679619494184, 845.61131558223519, 849.20483538748715, 849.29482920959913, 849.40902617773668, 849.95047722180811, 850.12346437458007, 850.18005174999985, 853.47428987568821, 857.57102514459734, 860.80070320014329, 860.98602336743818, 863.45445047626083, 865.66970663875236, 867.03278541867246, 867.65468911101379, 867.87273260138522, 868.49013022361601, 868.94385306696245, 869.09349745611803, 869.98385340857692, 870.67938062976839, 871.4536345924696, 873.71042958823909, 874.50338361215984, 874.62644533702462, 874.79510119626218, 875.19257318999541, 876.03034872530804, 876.21958120479303, 879.52673056729202, 880.08405170003709, 883.1408708163741, 883.23840370976552, 883.76296937944937, 884.43485702106364, 884.80572997190563, 885.4613732101767, 885.58376898257495, 886.51971574893241, 888.27127781309127, 890.20846153959303, 891.50876574784058, 891.56114149574489, 892.29450470154245, 893.19381034448088, 895.50177301232804, 895.67362352056682, 895.93792334916418, 896.57754614173768, 896.86682101893791, 897.59252283503542, 898.48389904538146, 902.70418842591812, 903.41421670439422, 905.07270277522946, 905.24275915364569, 906.0315611223366, 908.19461223158009, 908.44036835244594, 909.17239017504858, 909.38050607656464, 909.59127865716255, 910.61276054869222, 914.21486650297288, 914.73013080667488, 914.75339646918087, 915.40964966396746, 916.19991880780492, 918.98240664072603, 919.3650054764006, 922.51229026625151, 922.80370338683701, 923.18342421856653, 923.67483123192153, 925.31108907317025, 928.70437962446306, 931.09811908702784, 932.5855088434256, 933.1889036018847, 933.41718139636316, 933.46981268991385, 933.93509172319011, 934.4029564774911, 934.73327248773535, 935.39990486168676, 936.93986200241386, 937.39653088950695, 937.51468566846643, 938.57614452644691, 938.95656411717084, 939.14243809757397, 939.85686894588662, 940.065165666648, 940.25930501761422, 940.99581631241767, 941.2886907415043, 942.34453980801652, 943.23481220439601, 943.31589538948992, 943.53375826737624, 945.43945062467913, 945.95349617668285, 946.77168405648445, 949.32011804026013, 950.43193398071628, 950.57824287048948, 951.57161405486625, 952.51603471423994, 953.11835273847726, 953.23326831493512, 953.41202661969828, 953.67898356279829, 953.70148988316066, 954.1680905926944, 954.36441423625047, 954.6404721417822, 956.75874268838845, 958.84375911565542, 959.60628595528794, 961.98484315119117, 962.1656030851957, 962.46633156819587, 965.17517957252619, 966.41713899910519, 966.5168658943378, 966.73542563742092, 967.4571099367929, 967.53900193139839, 968.79599099785901, 970.57532560573316, 971.6265151655457, 973.20480915623011, 974.03940338852499, 974.11518366672374, 975.55250765815015, 977.82800367939251, 978.13717318524641, 978.68841689481008, 978.96646387031342, 979.10426200432175, 979.27158475800547, 979.72231926720974, 982.77933212484459, 982.95598619587543, 983.09248266958843, 983.23669022259742, 983.61884520056606, 984.93706376193711, 985.09147120178557, 985.88618698140726, 986.11501224964024, 986.96167785593809, 987.90025385250294, 988.31163513121226, 988.47139292500685, 992.0625734679719, 992.40025126777209, 992.61689153743237, 993.3352579488411, 994.02108036578056, 996.14082808107491, 997.80365967787566, 999.81116391913588, 1000.1294633774842]),array([6.7174624371759029, 7.6102123086231694, 7.9635214268113126, 8.4964406772523766, 14.005070634124792, 14.400959598739618, 14.776515280285977, 15.227522552637614, 15.362677367835193, 17.655519289907936, 19.661677918231621, 19.970245402453621, 20.243376336693462, 21.894200173381002, 21.984533035207985, 22.377227380445458, 24.566607430177111, 24.622791194372383, 24.917265096329771, 25.608173249113687, 25.82776267203586, 26.006509895810726, 26.740850638870835, 27.462526366679533, 28.355675426743279, 29.113519825454517, 29.733300020427432, 30.011801279752696, 31.04275518371027, 31.199579185344042, 31.993356309941948, 32.850978749362874, 33.104229005436039, 34.843290564343967, 36.828972489418462, 37.419831063985541, 41.323321938383721, 41.498744404913616, 43.691272646297115, 45.86070168633433, 47.353287067898037, 49.738898105833442, 50.323758623384002, 51.003849104256105, 52.805990566477334, 53.553508772392327, 53.635950588214143, 55.401918476921018, 56.790405730564494, 57.061259439724502, 57.721721950476365, 59.941514002168475, 60.535328642560053, 62.746549600676474, 64.036624718683001, 64.812318466675919, 65.082995602327841, 65.895778293272357, 66.14137518136684, 66.686422650054737, 68.307576070219795, 69.288713073645525, 69.311042225019719, 69.666995347057792, 69.822328634905006, 70.635321621082213, 70.875501935694189, 71.509103128884945, 72.396026314863605, 72.66733757361142, 73.835733015446237, 74.210248372620754, 75.48977002308493, 75.95624840797457, 76.573869652810657, 76.635277853537829, 76.766787913470424, 77.306010424854051, 78.749147464411607, 80.060203722732908, 80.969828736942873, 81.620728634495876, 83.012032588759197, 83.091598495271285, 85.29860592753343, 86.514596938950532, 88.276618438920693, 89.041505118578726, 89.063250381369585, 91.418131558778541, 91.906728180131012, 92.963608079207333, 93.292897840671998, 94.187500484811977, 94.632973744609458, 95.667102709450447, 96.842049737561325, 97.10615711927052, 101.45443350532332, 101.56103845136251, 102.93393075060479, 103.56775405089689, 103.64005478624733, 104.11108273956334, 106.06972975049281, 106.13843304761531, 106.25885974469205, 106.50330863726744, 106.68781874919105, 107.10157391479579, 107.86763236087224, 107.90737762031165, 108.67702122409443, 109.98739259645977, 110.36064816301175, 110.96554346802546, 111.42201370677267, 112.09124070562653, 113.40268642131473, 114.74326871650636, 116.6594952278263, 117.06297322609092, 120.19093590432774, 121.09386271130965, 124.43521140874641, 125.63012983570454, 126.71994738171171, 126.87604555215196, 127.28004206951421, 127.51230766024847, 128.84880694740679, 129.93389058556983, 130.04864844792692, 130.91995774702468, 131.18930828742373, 138.80048902463329, 139.131903634694, 140.31652731692432, 143.03997639743528, 145.0201693217569, 146.2252228056559, 146.97275634262391, 148.03425092702034, 150.85853120363265, 152.4092184624628, 155.30290810353122, 156.69127362118783, 157.42347618056206, 157.50177022951078, 159.58670702648595, 159.75190521838735, 160.62812478160814, 161.26501211576024, 163.79058903619924, 164.35386411902951, 165.40554971521249, 165.43997136981335, 168.13404621205541, 169.12862809955212, 169.31361202724662, 170.33333156268819, 170.36229328643265, 170.57444222729464, 171.39924199829139, 171.72614666134871, 172.25102714596633, 172.55581399910827, 173.72939919723024, 173.79605654574073, 175.03662659799608, 178.21100350683494, 179.06165101854711, 182.77329801222814, 182.84177551368006, 183.07276887841761, 183.71774036502018, 184.39258960259343, 185.00043867031994, 185.8054819175037, 186.51479890281809, 188.11047337976407, 188.23768073777524, 188.44529211271706, 189.03504185038943, 191.07579914023879, 195.36084027030722, 196.76856351838566, 197.93705687807068, 198.52241500691321, 198.79160541177703, 200.6475793889536, 201.43861238552284, 202.07142737918733, 204.02687918679737, 205.72629699324528, 205.772703559284, 206.13792401921205, 208.17484922862684, 208.6039720120971, 209.86219475264147, 211.09030783535752, 211.16181448614452, 211.21865491274019, 212.08210567672194, 212.35455673218519, 213.22200605012506, 213.47022573512004, 215.44058588289337, 217.35920006876674, 218.11661699805876, 218.24712598322103, 219.41333695676119, 223.18207624672462, 223.50136639152737, 224.09153507412483, 224.65850924635265, 225.86190895242478, 226.25761849953972, 226.74147349577061, 228.03563978545219, 228.1851035784681, 228.72142403782593, 229.26771471365507, 232.54313835030985, 233.05482162311068, 233.52731978127554, 233.84582003634205, 234.93371066772542, 235.49137010642858, 235.69975558313524, 235.96928191519976, 238.57236933167476, 238.70010720565088, 241.04888555860859, 241.19514712279843, 241.36573639873052, 243.10899319638492, 243.56855905032231, 244.0111146978652, 244.50261715816373, 245.29999895400681, 247.98384480405889, 248.69724968494907, 248.97778665471466, 249.23042404737004, 249.85262978644758, 250.17636712283294, 250.85803728805584, 252.3111618693822, 252.86569132521757, 253.19135627403745, 253.75053877283577, 255.45578539993483, 256.18751169580253, 257.61633049084094, 259.05187417264767, 259.47437692399546, 260.16556423446218, 260.2711648564827, 263.95014485389277, 264.96873278544211, 268.72385046031758, 268.88804098690906, 269.43722436498342, 269.89190383619973, 270.33611282445116, 270.49883077383839, 271.75931787060028, 274.53160529860799, 274.62623353941075, 274.97819191232531, 275.3312943043249, 275.4567849511638, 277.93271925893492, 278.39106652497406, 280.09845121718479, 280.19506754802802, 280.40849991650697, 287.06482201640677, 289.57154543743036, 292.78315985336189, 293.7511500338955, 295.3874448749408, 298.51705895792287, 299.86399155371925, 300.11083804537486, 300.39857106829294, 301.36046686131004, 303.22950463277499, 304.23617923857597, 306.52726336610613, 307.28798035956248, 308.62243617779097, 308.94000679287558, 309.08037029931495, 309.6886673555087, 310.63077545641772, 310.70443966985954, 310.96739758372354, 311.60446732593999, 312.62391473735443, 312.69755575720615, 312.83752281715431, 314.394819276362, 314.61434668720523, 316.83378203748759, 318.45347386004067, 319.1787605722098, 319.97807849001219, 322.60084292116886, 323.24834481829299, 323.97032115736198, 325.29720266600356, 326.59236092565567, 326.62591215859464, 329.83474332078725, 331.94882256649919, 332.42328725761297, 332.45034756477509, 332.67418691290607, 332.84910702157526, 332.92333034738436, 336.11931603474284, 336.25148012999119, 337.25990901586357, 339.4885027146143, 339.53805120539357, 340.29298408156825, 341.36953481435626, 341.97164721558948, 342.60235715424972, 343.06236498246312, 343.79839021593415, 344.3433353562869, 344.75017979630195, 345.26920872341748, 346.81081803597522, 347.28435950411824, 347.50777035235808, 349.80209733690276, 350.08064265956097, 350.48187687368187, 350.67421780165881, 353.74591193288705, 354.05576562473669, 355.56474281473567, 356.10762760719575, 356.44079475922746, 357.3168654171547, 357.52989570008236, 362.87636837337362, 363.10154098779316, 363.22491686363418, 363.62901788546679, 363.70860153955357, 363.82296406265846, 364.64843755589141, 364.72094468565967, 366.81227925843507, 370.31570868436114, 370.39387219497274, 371.15688042707484, 371.17877004672977, 371.68221490256553, 372.99540129734982, 373.76185443676206, 374.55235625369238, 376.28942151823378, 377.86184440367265, 377.88441458335575, 378.46894314690394, 378.57918823776339, 378.91975852258849, 381.41405508426141, 382.10665316260628, 382.72825283781469, 382.83012799478922, 383.2181530928259, 383.3202578155159, 384.70069161377955, 384.9489622930397, 385.02324804068081, 386.35434135693077, 387.21179437873536, 390.17628472155496, 390.4179714947673, 390.66264421484033, 392.05565809502497, 392.54276073709707, 393.05627495584849, 395.29686860180828, 396.74931783355242, 397.41568644620651, 397.59462114879591, 399.53090768289076, 400.67101425458549, 401.20002809782045, 401.8784838896978, 402.37011968617833, 402.8884901368408, 403.41258132459558, 407.74149083213388, 407.87587653829576, 410.10814093974523, 412.40591838057725, 412.51601660216795, 413.42355906565439, 413.57925773030854, 414.50242804938341, 417.63100871610226, 418.94013399892629, 422.48977061499716, 423.06597759933106, 424.87297680990366, 425.01854241737288, 427.55406512812442, 429.09120668399464, 430.38069800239674, 431.61834460655393, 432.43054628872824, 434.34703579707525, 436.29407976185331, 438.49411043554556, 439.4012879030966, 439.82190004852208, 443.58963105286449, 444.43862990355592, 444.68691630715517, 445.27180452991223, 445.77789861360895, 447.56370009880993, 447.83952033191372, 449.69943227286132, 451.42627010769587, 451.95031371736951, 452.56621290863563, 455.42048951396163, 456.30826368822005, 458.15377198167471, 458.71364399801678, 459.84801852816014, 459.90501462598633, 460.14009797701658, 461.88541198200397, 462.11956922863106, 462.73932398094172, 464.40086502536917, 465.17331789399992, 468.77710894047777, 470.54439716045545, 470.92265041643134, 473.20352531695391, 476.72777451644009, 477.77732165062099, 477.98606101421592, 479.4814329971781, 479.58354192981761, 479.90108159507946, 483.06058585689152, 483.9811186403395, 484.10327776516237, 487.74052668411105, 488.689975503867, 488.87876801819232, 489.90797315822113, 490.99254461447811, 491.35950632420781, 491.77594743996212, 496.20114320589835, 497.09329154921431, 497.13668693689817, 497.35254973658061, 499.52632216914736, 499.55573277685386, 501.79384817346715, 501.97862802562321, 502.16605817048617, 503.12140003966152, 503.26012054568713, 503.38557449335173, 503.42013034887577, 508.04435952024238, 508.21983732451565, 509.21381804643244, 510.21233838924536, 510.95570424602857, 511.49815063923177, 511.72574807064115, 512.11425440691914, 512.54934751193878, 513.20300562129, 515.16652647618025, 517.99230011047325, 518.86227804378996, 519.18783736121657, 519.483313631339, 520.10732370537403, 520.46682131339185, 521.14933966573983, 522.56340727244321, 522.80561441439238, 523.297812691177, 526.17277999330963, 528.83752583165926, 531.61468099371905, 531.70889193939854, 532.05243795487809, 533.04973980453224, 533.90284501385656, 534.5772507106027, 535.50365884596829, 539.31929935591847, 543.07857342955515, 543.21218742171482, 543.2776013483965, 547.65865111085043, 549.38698779552317, 552.5181139382945, 553.20028858630917, 556.26287595588485, 557.00300585051752, 558.89304098035336, 560.01661275055301, 561.05630352801165, 561.22842547777873, 566.55102133744663, 566.84770878388349, 567.75458592596556, 567.90529925935527, 568.60363138057073, 569.77178410309364, 573.41151653482109, 575.19432211844082, 576.54856893564249, 577.00774045305798, 577.06142858701799, 578.03925617352456, 580.35123777506976, 582.8981771851561, 584.00077916310431, 584.05227247517848, 585.60196283298171, 585.89729406245181, 587.39814435648111, 588.28004060394005, 591.9729528358306, 594.80730814647563, 595.08291383413996, 595.82488352653536, 596.65704661053746, 596.9556679252604, 598.24139170162414, 598.49599968185407, 602.03093578895664, 604.49934697952585, 605.8899849952611, 605.92390790302898, 605.99481415274613, 606.3950903160121, 609.68063334813291, 610.08823165095544, 610.55228703894727, 611.31055075891766, 611.83462688727252, 614.64733429924911, 618.11935056931657, 620.10257288346543, 621.41490237618655, 622.18902111161242, 622.4548861617784, 622.47682787108374, 623.10203098869442, 625.47772213930955, 626.50481286849856, 626.58753501730382, 628.21055753263863, 628.42876816489456, 628.89599490900673, 629.80224213739359, 630.51811886828671, 631.18559393973339, 634.5496215029284, 634.87783694723669, 634.91352691777013, 635.38209206771671, 637.87446033646222, 639.41460383986953, 639.84956046532147, 640.33618677445986, 643.87044263743098, 644.4202153944666, 646.35829420073287, 649.66508427654367, 650.02049407721404, 650.54844768473572, 650.80492401713036, 651.4501034868116, 652.51280950525575, 655.31757888774473, 656.52408476272615, 657.47680137162581, 657.9462800573275, 658.04580842826181, 658.24590843223041, 661.84650889484567, 663.29310392925277, 666.17786250409893, 666.32765777982115, 667.26939770805018, 667.37303055458995, 670.1167926642089, 671.85310505703217, 672.3801318507343, 676.36868796071485, 678.63454390922618, 680.40908147348387, 680.8174286275181, 681.08448143890962, 681.49305279940882, 682.67268411365944, 682.91381731792706, 684.07856952151599, 686.77102736568509, 686.79793642348307, 687.86269086118955, 690.02192801539718, 690.37139991280719, 690.9049405153504, 691.04815561651822, 693.79839686735625, 694.73842184014109, 697.67406254670971, 698.17035183053076, 700.39405023335019, 701.55161149057699, 702.27919668617176, 702.31989421567437, 705.12370234728621, 706.04375990827896, 706.22320035119185, 706.55072181635103, 706.58953911169749, 707.92532161947156, 708.85509917973297, 709.79593906051912, 709.85055416735372, 710.73411925300104, 711.08040649719476, 711.52691401835409, 711.59029426460006, 712.02060495420039, 712.08154190156961, 712.30946421724627, 713.94321416457672, 714.01553895960581, 714.39663510830803, 716.73244983557242, 716.77588345166203, 716.97133988937048, 717.15601933536152, 717.46105314095144, 718.37980123945476, 718.48936148776545, 718.58450485879996, 719.79769603902525, 719.9969477048412, 720.35023885453393, 720.50472823611608, 722.57488866337599, 723.34549270965124, 725.82657374103894, 726.99277102147482, 727.3395894947372, 728.87235324791232, 729.67841277334753, 731.10452393580476, 731.70988271043996, 733.02169515326284, 733.6788908440725, 734.12273195080775, 735.84044493669455, 737.93335959186106, 739.31751411307175, 739.441603045232, 739.7431848336638, 740.29841256938539, 740.45399835489729, 740.83685496546059, 742.73941391894152, 744.28541322103445, 744.31202404621024, 744.70430651280765, 745.5741693008182, 746.43196633307844, 748.37378315294052, 749.62697599026137, 750.16231803908079, 750.26908296640954, 751.30046242239371, 752.95439069528413, 753.43412394099346, 754.04032736836905, 754.40366553868807, 754.49371333078977, 755.32955253894545, 756.00158589397847, 756.27296792539028, 757.3225325898037, 758.07310121290402, 761.00487397598238, 765.74274974026628, 766.41041462858027, 767.48898076286605, 767.54368545196496, 769.56128087146749, 770.30945204400223, 770.50969275606178, 770.91684698477923, 771.07448014048748, 771.87603367122688, 772.78238074245462, 772.86734785930628, 774.28295723507665, 774.4271853716491, 774.47397959102091, 774.7317319387829, 775.92648626862683, 777.20718364848051, 777.82618609273584, 778.1789168497213, 779.1059786740152, 779.23720806209735, 782.50582056540941, 784.043121458428, 784.24622889866419, 784.7822405710682, 786.41268425885175, 793.73330675451621, 794.53993975737126, 794.58237805753538, 794.83505906584037, 796.35956789433794, 798.59084980907539, 799.88888801260919, 799.91517444955741, 802.00438846042493, 803.88180077844538, 804.11767652420974, 804.76599313121255, 805.10487229424041, 805.80021508181005, 806.04510690513825, 806.6740598317997, 806.78578415798222, 808.13919240067912, 808.60254885068696, 809.42508030163447, 809.59892415011166, 810.02484296671275, 811.12506931709027, 812.18822029774958, 813.01272492094756, 814.32899293462663, 814.35333282822467, 815.21370777833658, 816.03920541664206, 816.84004494054852, 819.9945351643197, 821.04042291577821, 822.27857725415038, 824.58977163902853, 827.18767044201263, 828.08111129069471, 829.56474565067799, 831.23844733669318, 832.22691509621677, 833.89269733339222, 835.22152426859475, 836.39763655993693, 837.95686178447454, 838.20509231415804, 839.0199800039735, 840.27738841747475, 841.91536579730939, 843.04372691847323, 844.21210992573958, 846.70933184384569, 846.80053710529728, 847.94231157429795, 849.74139090830249, 850.54365047601368, 852.51173656630328, 853.14732872490083, 853.17362782311614, 853.77156341470209, 854.55047994658332, 854.7942308945286, 859.06165312774442, 859.27510511215746, 859.98876655647177, 860.03303915624952, 860.46106222361834, 862.38527701764053, 862.98987909447487, 863.20928743661739, 863.45063881781414, 863.50324416499006, 864.57581186641221, 868.72569712408631, 876.55822156405634, 880.20013829570314, 882.75199573748523, 886.43717359345953, 886.49185146106288, 887.29971639088399, 887.37244837619892, 887.65554669175003, 889.0966526364565, 889.77605794776548, 890.07047344955618, 890.81620521161381, 891.74664626799495, 892.99144022911275, 893.18468603231133, 893.36847601461284, 893.78574781489306, 898.17614529094078, 898.30665588044667, 898.94599770103343, 899.49948857917457, 899.93893470695286, 900.25208384275459, 900.6033492402878, 900.83610080721394, 901.5716755756979, 903.66079714693524, 903.97770553014402, 906.82273196823189, 906.91053731708337, 907.28318342454691, 909.84525241407209, 910.22043978753663, 912.26025083381251, 914.14247769106669, 915.22481833459608, 915.81404954180061, 916.11792468355054, 916.52599363435127, 916.95356786298714, 917.30654099617448, 918.18327799955887, 919.05503538745268, 919.90400990921501, 920.43459733108944, 920.60658633401363, 922.77642123372186, 923.43537141254376, 923.72449085018604, 924.36610605190901, 924.50545500852797, 926.65851315875, 927.3109150081001, 928.4464531193745, 928.79358465568237, 929.71264023553215, 930.96816304681283, 932.70335296074813, 935.02654738251692, 936.25291338855243, 936.62100146870273, 937.36496879694698, 937.43247997172466, 939.52498378483654, 941.35892056705609, 943.16703058061637, 943.35243800306193, 943.69562143223777, 943.81180261769555, 946.29746088335639, 946.40626646654459, 947.11930939482932, 948.9233249951194, 950.20846070381663, 950.80430967038069, 951.01277489953122, 951.11870468471216, 951.69823521943897, 953.07699999052966, 953.29882280746983, 956.81400352859453, 957.53773687134344, 958.63654960208942, 958.78730021428589, 958.94343865684766, 959.16329556101755, 959.20918825171816, 959.49239720039566, 960.16836503693014, 960.31866658150329, 960.88535970828684, 961.44321044592573, 962.22102241132518, 962.28863105018411, 962.86811059009426, 963.69714366274934, 964.45019216005937, 964.47468948527091, 964.58864335853821, 965.63819844295733, 967.40386594165795, 973.13896327913312, 973.48355679486156, 974.02360432935632, 974.76011048454916, 975.1341277984003, 976.54905771117683, 978.81527393226008, 979.62365012962186, 979.66027894006925, 981.72261667524901, 981.99386029973209, 982.67115476744971, 982.85390429083475, 984.0359441746341, 985.70984662328351, 986.17049355621396, 986.27113188064743, 986.82094408615899, 987.13190888357019, 987.57353363036793, 988.14048714690216, 988.49135710308246, 989.84036491438769, 990.22956315645536, 990.92112795211574, 991.80516030161516, 992.00695116509849, 993.52664628890705, 993.66824753759568, 993.88453273124389, 995.49663105612547, 996.47075352847901, 997.46026088159601, 999.38161073674451, 1000.2536731507038]),array([76.972929098162041, 78.098300306690234, 79.583820561927737, 79.892776444724191, 82.177996949283425, 82.952126408979197, 85.671081250708568, 86.416301815263154, 88.103396736649515, 89.20459986032472, 89.994093522345295, 90.058053536057642, 92.807447714564972, 93.716903953249115, 95.818087879483585, 95.971446527678864, 96.053780124093123, 96.292260356856346, 98.08988094613062, 98.168523507915353, 98.245575997447943, 99.019472237851019, 101.73059992417402, 101.92963554563038, 105.48945113295872, 106.76253298120753, 109.01097362272361, 110.09797527389857, 110.39011991379535, 111.28895055834418, 111.71463387642719, 112.60404030056077, 113.45327855925724, 113.83432480010391, 114.55821213904281, 118.27565957228336, 119.14578242658089, 120.52394919440543, 120.74237667482204, 121.30481437583185, 122.25473041448402, 122.8871932163435, 122.9107197105852, 125.97961831340089, 127.42900122326569, 127.75462176061303, 128.31343090933683, 128.46031801193277, 129.03106142633013, 129.58608627064058, 129.86039532658745, 130.21686550046192, 131.05023311394885, 131.93428699095193, 131.99510966447141, 132.87925810673323, 133.63562101609818, 133.88955969403162, 135.61463293951354, 135.75982863816776, 135.91211862948069, 138.37727461876756, 138.99535372853114, 139.73902100779694, 139.79789286015338, 140.59995959557369, 141.88767025357913, 143.81770088210095, 144.05891765573642, 144.45209703205279, 146.34750128930577, 149.94601312616078, 152.44194783365322, 153.44327902948095, 153.62794203151154, 154.33544769339539, 156.01456938646839, 156.74177682591591, 158.84532798047817, 164.11227687256667, 164.89206948106718, 165.69575165774685, 166.5266853283718, 167.08935593457241, 169.04018126165934, 171.27677463838066, 171.66987479158198, 172.7858436329428, 174.52820017141084, 176.43039559440476, 177.68544371548461, 178.23803308080281, 178.34476888675582, 179.09986881581565, 180.83567138803323, 182.34851524958745, 184.27800110888279, 184.66449517535568, 184.81612228069105, 188.30458030079348, 188.84066599207912, 189.45073676775564, 189.49073090938714, 189.57914118143611, 191.22788742336922, 192.8863147382194, 196.86789639196741, 200.55476916109853, 200.61735300195463, 201.61422451835739, 202.47668042969903, 205.90373142185925, 206.02774092298941, 206.34944327430469, 207.39546672108844, 207.80368239202355, 208.19079946751557, 208.5617364398764, 208.93349789985592, 209.6942021326835, 211.65981740396367, 213.0018387684926, 213.89672217871134, 215.5207600457849, 217.23760718285837, 217.95504767457061, 218.02691915664909, 218.32479048455539, 218.36487621417132, 219.42526154867494, 220.00447290780755, 220.17835448450532, 221.42150180496782, 221.61384690334032, 221.84947306372797, 222.38584003889571, 222.75590540044394, 223.83461867037113, 225.79649208415893, 226.41430140653969, 226.4381921533687, 226.58106518016893, 227.70067155577345, 228.14564988577345, 229.57883256755139, 230.1420159733174, 231.19477361946278, 232.67924430253402, 233.23087653304268, 233.60140110389582, 236.69950927438461, 237.11135442780233, 237.44652758001166, 237.62751426445567, 238.29822037393541, 239.10496502982187, 239.30231598713178, 239.40732693850492, 240.43406810942079, 240.71123544847106, 243.71847799740851, 246.35004410214594, 248.26564410230085, 248.31657250074127, 248.43492006458777, 248.60309267507242, 251.45483600080613, 253.37664938644551, 255.48537496051108, 255.67828656478716, 255.72005264103683, 256.97384155145357, 258.61376771498033, 258.65269112375955, 258.74491473308677, 259.22743898523595, 261.85240304417988, 262.68283262554587, 264.66247599211107, 265.122961554401, 265.16796228250411, 266.61646857875928, 267.22522259692306, 267.83159114134202, 268.75209491189389, 269.10106600965992, 269.23465478343542, 269.33154536635971, 271.25509697739238, 272.30952934649582, 272.60642738120407, 273.51414756193844, 274.21412788467615, 274.58278743085822, 274.68385601161344, 274.8926439874798, 275.59233383787398, 276.85494871404217, 277.33212192117651, 277.92295505966013, 278.20902765683235, 278.93182795136221, 280.00494868482599, 280.07933777691369, 280.29278488684571, 281.22695507132926, 283.69505334807855, 286.42825107759859, 287.75026628008226, 288.0020604292032, 291.77666333351772, 291.85457827609144, 291.98552692330873, 293.17169529373462, 293.20376583411104, 294.46090283642212, 296.56013332180038, 298.08762694660368, 298.55311640251801, 299.92688358164008, 300.11105316209768, 300.2470880019751, 300.55427815581021, 300.81426647851441, 300.90549805590393, 301.60126859586654, 302.46642620083509, 303.13909361507552, 303.7763351397474, 304.29508219461036, 305.09486014935703, 306.49107346435329, 308.21987754231981, 309.89633625737008, 311.496220052642, 312.34765365119711, 313.98720180320635, 314.19346771297859, 316.19869656671193, 319.38748042097865, 319.62959074509229, 320.59183694203512, 320.72924920975595, 321.03248472742337, 323.63004428081217, 324.46998351497524, 324.78157566823108, 325.38260194157425, 327.50053573791234, 327.60667935248699, 328.08110291341029, 328.61656639423404, 329.49661064915443, 329.95058369878222, 330.49678460586978, 330.64788515240133, 332.88027131133026, 333.36162968350402, 335.1595615862073, 336.0156563640333, 336.64975435851233, 336.94608293759637, 340.93341102462745, 341.12135170374904, 341.78147650358585, 342.48725013534454, 343.81807212340215, 344.08929813150627, 348.6342090831572, 349.24076225679141, 350.17565795579156, 351.59278930004581, 354.51074256665044, 355.02083247501974, 355.42982973506594, 355.46958043876862, 355.84102506213986, 357.89457402617671, 358.27083791490605, 358.88357109855298, 359.75720553299618, 361.40541526202026, 361.74922085534786, 362.18723667240886, 364.23455323014718, 365.11104361940278, 365.77515428586588, 365.8753487378122, 371.27815173434192, 376.62434213240107, 376.94954672229147, 377.23570454893172, 379.78985938851099, 381.34182806658521, 381.75737511145542, 382.54846421569448, 383.58287291175202, 383.75720240308459, 384.15194302425317, 385.21013615588572, 386.71134668997792, 387.18411518996288, 389.95291160013079, 390.07788896136998, 390.43030056557973, 391.9560936347703, 394.01044721885592, 394.85112268992265, 395.58708203751718, 395.64595312224043, 395.89682019707959, 397.264340091745, 398.04872660543276, 399.56659884114208, 400.62401328567444, 401.47619504416321, 403.70626366081666, 404.90178804302531, 406.59065938006961, 407.80755848274737, 408.00037529372486, 408.13598077415594, 409.70650849216639, 412.02839567843148, 412.72110115931815, 414.72745242631498, 415.6884617203475, 416.02058189928727, 416.09291943974978, 416.81426110705593, 417.57115438443276, 417.73988645821521, 417.77921804784825, 420.71586383948471, 422.14593467100525, 422.67468044764979, 423.11496472033315, 423.91910912302751, 424.47037958643892, 424.49691050980152, 425.8375316658819, 426.04721430529821, 426.5826318807097, 426.79819220580617, 426.9418505674812, 427.51368577613147, 427.73451214755528, 427.94466047486907, 429.04217937697928, 430.60407247046027, 431.74025877025781, 432.52811636223799, 432.74139103650708, 432.78016312360046, 433.58158285597329, 434.95204930089881, 435.66487062153737, 436.84851052537539, 437.55911414870229, 440.09979722681663, 442.82222243813987, 446.64070883195711, 447.67206061232781, 448.55292778199885, 448.96998717642396, 449.49457910264056, 452.09242426486793, 454.58307312685957, 455.09383642747179, 455.23673196162679, 457.82326754436053, 460.22884962409427, 460.57305143222936, 460.77355462588105, 461.80697304728761, 461.87626009752813, 462.17324576883118, 462.83092957257776, 463.23101453235665, 463.47460762195982, 464.31287198522733, 464.98233509037976, 465.88576730667137, 467.24344341304345, 468.14727565161252, 469.62956192154667, 469.86456655024773, 469.95891338337577, 471.24228847325281, 471.43285797991632, 472.48772037493023, 472.89513198845884, 473.28686893375897, 474.22977803710131, 474.73351944065996, 476.02687745620312, 476.2107609985722, 476.23940575601779, 477.54969094357784, 478.12635561177945, 480.13620671303016, 480.17426808164544, 481.34363108249704, 484.40941236604601, 484.92098700485565, 486.14949123745055, 490.72189649772417, 491.55876729998892, 491.60381138362612, 491.72993756251549, 492.00685398191746, 493.5052454625976, 494.28663881563693, 494.60192317319252, 495.06633366204369, 495.42876595210777, 495.64159101858252, 496.07739805337906, 497.54989382884787, 497.66754475950739, 497.90864294979917, 498.91658610092486, 499.10724799884321, 500.24086032163103, 502.5542704239694, 504.46275067296386, 506.87703179218283, 507.17386842029129, 510.095710683601, 510.97356500265579, 511.44576154182283, 512.53132869528793, 513.3175959469371, 516.63383235781896, 517.16017635674268, 517.4694400516089, 519.00144910675181, 519.43542872014257, 519.81898376910863, 521.12028275656371, 523.05669441906707, 523.72964282659382, 524.47847162229971, 526.44313475968841, 528.41868305677542, 529.13170377498761, 529.737035899234, 531.53491378726403, 533.00450840599296, 534.88938396564208, 536.41521212648649, 536.77486358882254, 538.59588865319745, 539.08794303820184, 540.07558318784641, 540.62339848132194, 540.85538672394955, 541.74628328089739, 542.14704790885753, 542.3922591138338, 542.60783937265853, 544.0355945109194, 546.23943029530528, 546.92143609850905, 547.60957191987495, 548.77964131373608, 549.7189250491756, 550.64910523078447, 550.8087552972662, 551.73239330413685, 552.10458536941201, 552.23641981442711, 553.36103242651598, 555.92930288015771, 556.22977737208873, 556.90573362985288, 557.98851002976721, 558.89294791944985, 559.34930210404423, 560.04543119752077, 562.08764005134935, 562.34792769459966, 563.28752889768907, 563.34020611193637, 563.55875381466058, 563.9063045115056, 564.38742889145931, 565.80651151861093, 566.21727520124944, 566.27122862099429, 566.5669086011851, 567.67204561030815, 568.12583145244446, 568.35028900163297, 568.96952979066816, 570.32900316691587, 571.79632603469054, 574.04276527213779, 575.76741594515556, 576.56091831806668, 578.93451566200974, 579.49177287962573, 580.7821224599636, 583.72588049771662, 584.92125099265661, 585.036916602867, 585.14021097970237, 585.48062557985713, 585.62479644022926, 585.89533605666702, 585.94027785166736, 588.36269351010594, 589.87440091462486, 592.06438938698136, 592.45387273439701, 594.18470077430152, 595.34755029063319, 596.53155770453407, 596.68774499684082, 597.11370553283825, 597.25193244457057, 597.40995209036316, 597.5446019302077, 597.64248694689832, 598.27007677089546, 599.43048956583959, 602.57477427774234, 602.65950583663084, 602.78149294567027, 604.00451002951604, 605.68134540445055, 608.92088450375593, 612.50492464174124, 612.74999930320757, 612.80200247042455, 613.01270954342351, 615.6128547883003, 617.81763417707111, 621.98278059948916, 622.35998602329607, 622.72134157811547, 624.22524853142454, 624.80247648929401, 625.23189000702678, 625.34054956270029, 626.03616971640804, 626.81378003792747, 628.87279987967509, 630.3658501104029, 630.5907833355061, 630.96081144948016, 631.50026801773356, 631.70294005073981, 633.24080952404552, 633.45273328138137, 635.05269930319946, 635.08808429238763, 635.5123457124206, 635.83618930087061, 636.43062089467605, 637.23066296291211, 637.88920788229723, 639.11875998194546, 639.371840285997, 641.52296087632681, 647.36501644205873, 649.90861150016542, 650.72493589052863, 652.05172966838165, 652.91631857117727, 653.16688563619368, 653.47061561280123, 654.56661613181984, 654.81760728891334, 656.76183889479512, 656.80399213429951, 657.10176671706029, 657.60387239558008, 658.22423865090173, 658.80950773578684, 660.2219276253669, 660.38131217519162, 660.72682810525066, 661.06222640641488, 661.40460849488613, 662.85813431037627, 662.96469721177925, 663.08462354574215, 663.58495970576519, 664.40876589318543, 665.74698516804631, 666.13847854558662, 666.18959584318384, 667.6912034029242, 668.0141540339572, 670.99720215315619, 672.05382470397672, 673.39700692802967, 673.57460643678792, 674.0103113280328, 675.25242079529266, 675.3897811277244, 676.32616501323116, 676.51112585160558, 676.53433341764992, 676.89436189136859, 678.25664375176871, 678.76886811220811, 678.87624762618736, 679.26613833442855, 680.69633956442328, 680.99160502182554, 681.04751962059652, 681.2995473001555, 681.48884223516893, 681.81544288868099, 683.18680456446111, 684.72535560563733, 685.15762045413896, 685.48437007411326, 688.64438887063977, 691.09391429642869, 691.83757030358868, 692.67076823325556, 692.83130780727811, 693.31835432939056, 694.58169378814091, 696.35619235819604, 697.07982619872871, 697.33418098580091, 697.76826841316029, 698.41559852107184, 699.64874386603879, 699.67113792027544, 699.80677271507716, 701.66432816080635, 703.04448812788019, 704.39933188528391, 704.57614411758198, 704.92839069754314, 705.5497458872951, 708.23545056947728, 708.65392307108448, 708.68952105208757, 709.97298355736996, 710.07933526761087, 711.68261591132864, 712.43933814331592, 715.05193719138981, 715.32751350959336, 716.38712995226479, 720.30140319356747, 722.24094985225349, 722.46477368001456, 723.903317326614, 724.81670762625663, 725.96355724367436, 727.97004009977002, 729.18310857973484, 730.06893328724539, 731.12920147875741, 731.2105289936593, 731.91956451184251, 733.12896336804044, 736.96309948967178, 738.34280754199403, 740.94252846414645, 741.91813371348155, 742.5843196289818, 742.96368529460005, 743.98223606331669, 748.00054511823532, 748.93831344904538, 749.85176700189481, 750.01174110508305, 750.34445957494813, 750.61239736171296, 752.1287819909021, 752.36023934603998, 752.74493987101937, 753.04067502057842, 753.41468107260414, 753.68667269606863, 753.85371313697328, 757.59323194149931, 758.46826793367268, 759.37602310386728, 761.13596133224235, 762.22243788155583, 763.99436206102894, 764.2368698698109, 764.40679840085443, 765.77505902205348, 766.47270467577084, 768.99614707347359, 769.99876995976604, 771.54533800516515, 771.71898793377682, 774.92161773099201, 776.42012900738393, 778.07107435155581, 781.39102433910909, 784.16755172876765, 785.27682019458848, 786.8639515537343, 788.55636506633198, 788.74505571430916, 789.17642417576997, 790.42871113201136, 793.32047777151752, 796.98564127711711, 797.12707935619369, 797.99974359927523, 800.71233923173759, 801.9965793300687, 802.77435845735147, 803.88726190491479, 809.42553983689083, 809.75885886674268, 810.57626826587239, 812.04222541680463, 812.28209842325577, 813.22610865085119, 813.98339471243969, 815.1916641108254, 817.82926626868925, 818.02289568537833, 819.23630286329717, 823.85344149546904, 824.10640335744154, 825.07592868448114, 826.69439326561417, 826.87818431532958, 827.10449243525363, 829.71246140428866, 831.81390751598292, 832.7618900967766, 833.01076599729981, 833.18535398435904, 833.5392085740026, 834.18143282381425, 835.77874607808576, 837.88937833195553, 838.04163347347173, 843.5676225529694, 846.01677094183083, 846.22593704865812, 847.7043732717907, 847.73958493733574, 849.32771868168902, 849.67386639615177, 849.75019170198266, 849.95560540456484, 850.17671511113292, 850.36483181582435, 850.4848823589216, 850.84433730494129, 851.81476224260496, 851.89987482491563, 852.82237273644103, 857.36751435393046, 857.80201430612863, 857.85816298539896, 858.19402283658644, 860.58766879171355, 861.069421963011, 861.60771632690557, 862.23713903341798, 863.12085161400216, 864.21805140641516, 864.49157582165276, 866.92396182503967, 867.09372760679821, 867.77049132891625, 867.85548209754859, 867.92624560098591, 868.47064336044502, 870.14217098466099, 871.94960224021656, 872.53030596428505, 872.89957584557783, 873.02164401197081, 875.18006446866923, 876.94866560402147, 877.03787483254177, 879.42698592323472, 879.73716101126968, 879.82210165833681, 880.82897699433977, 882.37519305815408, 882.53030448167272, 886.76114597488333, 889.37333326232101, 889.92129243604165, 892.67267064754117, 893.03647022307518, 893.16204009556623, 894.07173348225422, 894.94671118584552, 897.2307624493169, 898.38442308187325, 900.19438278583266, 900.52886343530758, 906.26235094632841, 906.42416946518767, 907.23396214184879, 911.61947547330396, 911.88999532369519, 913.76261519319314, 914.2042632227367, 915.04028766248427, 915.21481532093878, 917.44660879145817, 918.18525964988692, 918.36466995967089, 918.51423633969705, 919.72348818711407, 919.80516528253372, 919.84441374822939, 920.25523239336189, 923.86858639241314, 925.35844658557744, 927.53647061035235, 928.38997343896938, 928.45137481329664, 929.04830068665581, 929.28521675811908, 929.70773619816941, 929.91814374385785, 932.8495801851426, 933.63821987982237, 934.23716253033444, 934.48050865652397, 934.69299191266703, 935.6886576491263, 936.01340417176459, 936.71796825775073, 937.92997590754237, 937.97053045221173, 940.14094202621027, 940.9070249779644, 942.64623660580378, 943.42037790004281, 943.74827002280028, 944.21408044575537, 944.67788998633864, 946.22033630854833, 946.3294918534732, 946.74364830544255, 948.42409268295216, 949.23183577253849, 949.34433299920863, 949.47250595150047, 949.60186812203085, 949.90369363670641, 950.88664177049679, 950.99009000359047, 951.93590078931459, 953.69940834922784, 955.75439273256848, 957.78007290821563, 958.42377557286864, 958.61180808805466, 959.56260308793094, 963.27082851345949, 964.89755343017407, 965.66009207465402, 966.47060591708828, 967.93408800267127, 969.17498089892308, 969.20979970399583, 969.4349033335593, 970.27761849220428, 970.71609517182367, 972.98481906226721, 975.69851010817467, 976.34844243785176, 976.93410211044647, 977.64687039874684, 979.11348959691907, 981.24014753621793, 981.26156438209625, 983.24889881036802, 983.45737031658507, 983.63428576085664, 984.52602806177674, 985.27322715880393, 986.46286449925242, 990.94546592671463, 991.13556039617026, 991.45879621047504, 994.04401497675997, 995.4375683722476, 998.07786476167621, 999.68986448567921, 1002.6123787751575]),array([50.597541325515891, 51.559620259298157, 51.76880620423951, 53.3788766186888, 53.644524177647035, 55.660020709835813, 56.921994405719374, 57.123873460397114, 57.186731790507032, 58.13500594088157, 59.647938200411751, 60.528176612085588, 61.245602165570894, 61.643459935625962, 62.779897702044423, 63.01595242325314, 64.592166492842139, 65.136032190752559, 65.363335584925679, 65.552325089267626, 66.967657040194155, 67.267853773271071, 68.077289421448654, 69.528741152838336, 70.342067463266005, 71.69814528714997, 72.182498617631921, 72.215354598988014, 72.663987430618661, 73.481950949537435, 74.989209101553527, 75.602437182038855, 76.457016040154187, 76.650023395337101, 77.268479615615774, 79.168558349260053, 79.459584400733775, 80.442325258067228, 81.113679924954852, 82.038426593854467, 82.186486278013405, 85.817455169729755, 89.129648102844925, 89.589923428293758, 89.843676487731884, 91.386713399826519, 91.922122761901193, 92.994650834959344, 93.111831097193914, 93.167183475751145, 93.796275132567843, 95.860726988172459, 97.380405271374528, 98.702870079644967, 99.609981322441641, 99.887079831314381, 100.4191197889182, 101.88704995667482, 101.92646886929886, 108.74122062624122, 109.81961424693969, 112.62795093559619, 114.14315316550653, 114.73430112489912, 115.34457409618388, 116.59391160355288, 116.92647768421837, 119.85759130675318, 120.71071606726179, 124.28660512535933, 125.94351092519527, 126.34486826417034, 129.05366631426372, 129.33174023888029, 129.40109804117913, 130.05184831456128, 131.70675322222985, 132.25657509645308, 133.1479988442884, 134.44713575583518, 135.75370586198298, 135.83395515239889, 135.95788505223774, 136.30444303645359, 137.10470517772347, 137.9477199449569, 138.33142404645506, 138.43555742547329, 138.52464747574095, 138.80796513993269, 139.73891398770587, 140.37750115640597, 142.56465229874911, 145.46326564458104, 146.40432494604525, 146.5439175015259, 147.40783855091428, 149.19771980117076, 149.26035472822659, 153.88275184044861, 154.19422167016171, 157.47712803670572, 159.46418490565819, 160.62601280318671, 163.23426881697998, 163.80791056618617, 164.01554907398099, 164.98435889111272, 167.64484848195974, 167.91378640314539, 169.36470427310826, 170.87437163299901, 171.29385344722937, 171.52237862125884, 171.89540563691577, 174.37333819526728, 174.80934762870825, 174.98945330095322, 175.20764543922209, 175.68103902016409, 177.51755990849259, 178.6515733356996, 179.20795690485502, 180.77187079798665, 181.93721263385635, 186.71267234130954, 187.27684603910234, 191.51284099734968, 192.46255405609938, 193.39467858892101, 194.38947330444452, 195.38126798571358, 195.55909839808797, 196.80737133896767, 197.33632631713013, 199.44941400267473, 199.7142223598963, 200.09035853731584, 200.14606791063841, 203.25008253144489, 203.28066105323649, 205.5286122352984, 205.79693677076111, 206.54463702252627, 208.27135921569121, 208.98247727766847, 209.64592343335042, 211.28534159189948, 212.40396072688731, 214.61876636359489, 214.86977225963216, 217.01823241745035, 217.30520236412596, 217.35865834413323, 218.62107441769095, 221.59627369890237, 222.07552224750066, 225.6978956980212, 227.52784163992902, 228.00610543841296, 228.08771386021252, 229.04760380884107, 229.17875235830269, 234.24513188892269, 234.52792946061962, 234.92428892181323, 235.87822648770415, 236.14633734137152, 241.02037528132459, 243.61530333523254, 244.65702334499943, 245.60366872052376, 247.09360301797818, 247.24808993245384, 247.95929710039181, 248.22495901686898, 249.02030501854685, 252.08909708460615, 253.66351757869586, 255.05415100958993, 256.11878619343423, 257.0693381180447, 257.57304246673016, 257.7370215526177, 259.41206571089845, 259.57160974946453, 261.98552512935089, 262.01685303468696, 265.56233816589827, 267.73132205361185, 268.48642241284676, 269.73752825136512, 270.98954905375723, 271.34780706875017, 271.63261774366015, 273.18385842319316, 274.15581391769825, 276.92344435029042, 277.5749779137829, 278.56300145516559, 278.87976173457287, 279.10643814651229, 279.34057410606255, 279.66836715179898, 280.72002296893635, 281.20628420926784, 281.31177534087391, 282.1217563221133, 283.00034411432853, 283.20292166029566, 283.37230854563927, 285.03547006317234, 285.47525384330623, 285.62611090618265, 285.86853796954853, 286.1076200903164, 287.24732784735329, 288.00108378933965, 288.77589572015933, 288.94077107020587, 290.50450337664546, 290.94195261037396, 291.91456304668156, 293.14031230354408, 293.51990542735126, 294.51845907164824, 294.94146995171343, 297.12100112342273, 297.18328709774732, 297.2484872860058, 303.12174623730397, 304.76025769139727, 305.24848881408786, 305.44856510438501, 309.45799752245182, 309.53789305380354, 310.31845728675086, 310.82430239890789, 310.89778585317055, 310.99184623291882, 311.10644377749867, 312.88612954960746, 313.39248839383384, 313.55226277012758, 314.12678196121283, 314.42682556267255, 315.03501240560524, 316.9531264357052, 317.53920901163696, 320.30983948058412, 320.58530799428394, 321.02358346438882, 321.55140483549866, 322.42977351265256, 322.70818495422839, 322.78192760182492, 323.5499114661252, 324.09632854862542, 324.2323602774959, 324.58897279372093, 324.95183961904252, 325.03268029524969, 325.65821523334989, 326.89840449313027, 327.10940641926931, 328.12855614537256, 328.60607260410967, 328.72419471095969, 330.03058499996882, 335.11631947631628, 335.42690296342994, 336.52714240205023, 338.64934624102949, 338.88432999927437, 342.85197464277417, 343.41492626370649, 343.43517639085894, 343.5177470403284, 343.82849832990524, 345.24335344546768, 346.13707151332528, 346.45104422113667, 346.49089777537341, 346.96499271058087, 347.40866605676916, 350.02196587140469, 350.23087112754797, 351.06548351914461, 352.92740376772559, 353.00870526437785, 353.84852217007892, 355.66952701768855, 356.90712216672335, 358.45536815299846, 359.28537838375871, 359.95956219620132, 360.27619405674648, 361.11057446212578, 361.83969024658916, 361.90630592069829, 362.36063607498812, 363.25220249833956, 364.82916938944794, 365.71979338704534, 366.79206630978138, 367.25617101219945, 368.37524384043115, 368.90410095789758, 369.52566661572274, 371.85280996345966, 372.17399255474589, 372.38479168298318, 372.82756566716489, 372.97663115654854, 373.33230517771716, 373.67780775624908, 374.27930232029325, 374.47102237422058, 374.68548088549113, 375.35365058256571, 376.8430189051208, 377.27395355807334, 377.82490398159621, 379.62042030213246, 384.77509917167276, 386.43266638570867, 386.71097936730035, 387.37005387065915, 388.08861478594019, 389.53524137865492, 389.7722021373736, 390.37592247486373, 391.97147358591059, 391.99344982424606, 393.37992722226778, 394.08805549539733, 394.45201240761202, 394.47866583127291, 394.52963821054527, 394.92826239134797, 395.51673476467766, 398.67579286230989, 398.87167280817596, 400.86160206588187, 403.32005982494172, 405.55783475368418, 405.82742335173657, 406.72440121797257, 407.02118617439203, 408.34312916922789, 409.92976854942702, 410.23778053331989, 413.19429212318931, 413.54908292273541, 413.93937921124439, 414.75210432171008, 414.82168481309816, 418.28865530604173, 420.11058458569875, 421.50090010203019, 425.01932967100657, 425.15332459534039, 425.23351484419891, 426.45586937712284, 426.89928145109224, 427.48829911951987, 427.57959297818911, 429.22662704153606, 429.57948307299455, 429.83110889690761, 429.91652190864238, 433.0390802118672, 433.77734444112616, 434.76404421281529, 439.03522529595551, 439.83484875568161, 440.24376339905587, 441.70046316707362, 442.00531639268468, 445.8008894167657, 446.4495247929795, 449.29995875163547, 449.99795659569327, 453.21796428475011, 453.66356396027089, 453.98694600914439, 454.146373250669, 454.91418882584139, 455.26525406346161, 455.87391446095972, 458.67806032296301, 460.1662656893289, 460.67167638029571, 460.861695341406, 461.13929524699563, 462.24987763505385, 463.6263603953447, 465.44923087534482, 466.12592684139111, 467.55029479502349, 467.80929968347073, 468.62729988635294, 469.69814708925139, 471.1342150312841, 471.4201005460497, 471.48245745214103, 472.49476586193134, 473.39925196446433, 474.32159918292984, 475.22861104692413, 475.62074088973333, 477.4445938750132, 478.01343432551886, 483.99011218730209, 484.33982879251465, 485.77431797772169, 486.79926523790101, 487.58394018063296, 487.84288432755318, 488.64282227759418, 489.16946460500884, 490.60294035081256, 491.60207393451708, 493.01757674493814, 493.62266414788786, 493.91502480411634, 494.23298530985943, 495.10051402707245, 496.27611589144522, 498.25106073879931, 498.9028058587927, 499.09316568077202, 499.46373846965366, 501.50795239110221, 501.83794337127625, 502.69767797854871, 503.67352755037791, 504.67487459983374, 506.37804974040716, 508.1066322059126, 508.90090014265905, 509.11423725673524, 510.5403628216265, 512.42188436644244, 512.50042812700667, 512.83866431490446, 513.64246771493879, 514.2480573157909, 519.05108379318631, 522.21609859831358, 522.67163058116864, 523.6865286301587, 525.19100323321697, 526.09857329548538, 526.18925444520266, 526.99620590101415, 527.33538592477464, 528.04421175007485, 528.46833841451405, 528.71800906555359, 528.74416351943694, 529.55763271054946, 530.30925956878139, 530.56310412930895, 530.85203238167685, 531.06241650663185, 533.1544856849265, 533.85604840065037, 534.11628586427526, 534.60677600359566, 534.68944580998539, 536.89320923872856, 543.14197593486563, 543.39329462021817, 544.31561188039689, 546.02277993378937, 547.85281481824109, 548.21782767653144, 549.01548699935609, 549.16043752760277, 549.79121585794326, 551.69360662637825, 554.86112623723818, 555.29796588558202, 555.4603198030801, 556.51359469454621, 557.04403974567379, 559.4636865537052, 559.71462810228638, 559.74896203949265, 560.94326403939465, 561.02665703970126, 561.28329976552948, 563.68679551688695, 563.85336460287999, 564.3448545721277, 565.54064941111744, 565.82969019261645, 566.3417310162946, 566.92651394868597, 568.07693001967425, 569.28910696140167, 569.72434801649001, 569.87748127714826, 570.83124037091852, 570.99716618614355, 572.68687281266318, 575.04443546406753, 575.33990422659315, 575.9645975411529, 578.56905337545663, 579.53889204356801, 579.76566507992447, 580.529395987116, 582.21366249767254, 583.73381403048506, 584.61678485489404, 584.82133849470381, 585.76882330028002, 588.69873915511528, 588.7993103317126, 590.84601158273824, 593.81323496710138, 594.13415746453165, 595.50987307984303, 596.4511111521515, 596.77719994400536, 596.92573608434679, 597.54635562374119, 598.12620418180632, 598.76673832513529, 600.79905536245019, 601.40773400800845, 601.97140985491478, 603.04411701229822, 603.69096525889552, 604.64517649212507, 606.2350693304661, 607.29243859895405, 607.80962047775552, 608.34798139869008, 610.52788075862986, 610.63396788599619, 611.0031370413127, 611.97313933630392, 613.30711816091468, 613.46395788339214, 613.90121442014686, 614.56551305720302, 616.43380879218557, 618.55649267415015, 618.96119174109526, 619.77599928579605, 622.23483669900702, 622.37525740953004, 623.70953057292638, 624.03623163991563, 624.32752842928903, 624.51542393958209, 624.86354883785282, 625.71936383952232, 626.42081077186936, 626.76726586460825, 627.01301589936804, 627.1393145098906, 628.83757902896525, 629.93083946782883, 630.51293516826081, 632.07621499977847, 634.26779181974757, 636.39970470378182, 636.50057849602808, 637.54950929587289, 638.12255211436434, 639.49047718174575, 639.88966130748531, 642.03730713823006, 642.66879907830776, 644.2423139541645, 645.05807550132022, 645.15306369797929, 646.12643470790726, 647.48418085519995, 647.58262884049759, 650.09795392918909, 651.34280744862838, 651.86906951904689, 653.42229584336678, 655.4448658818186, 655.83387312164757, 657.93674591771094, 658.86952930701534, 658.88966985273669, 660.2660411660471, 661.50183221913949, 661.74091452722894, 662.96301382127206, 663.03012795423706, 663.20495368620766, 663.65238188049238, 663.71634172428571, 663.87329920678246, 664.03562329188992, 664.43243791718885, 665.11736274429927, 666.21299296387701, 667.86819091607515, 668.18382868680862, 668.212807224279, 668.84038241213568, 670.66573893620375, 671.2720659553122, 671.35213247193474, 672.10792897782585, 672.24692551274472, 676.4659964082955, 676.70662526882165, 677.43096004760503, 680.13908722179121, 683.63544066678264, 683.95348171307012, 686.05210749742264, 686.83471658912686, 687.3200036552837, 687.5645407652172, 688.19451149396707, 688.34230322492112, 688.79530049043774, 690.00295615868606, 690.68349467172027, 691.71411625752103, 692.05135126416883, 692.5735680940395, 692.85745251222954, 694.0840252687882, 695.69266794691043, 697.60323291100326, 698.05407019849315, 698.19654991854782, 698.81815777382519, 702.1955669999478, 706.47085546534618, 706.79678162466007, 708.17721959038602, 708.86250120173611, 714.16900019616901, 714.48947464845537, 716.48331763263434, 718.03562427155248, 718.62873824200278, 719.59015342853013, 720.640529560922, 721.03849277932659, 722.21065691291631, 722.23509477738048, 722.37112718144476, 724.68898171848582, 727.01315550843947, 727.20478179068448, 728.98769415697882, 731.45116514459937, 731.95212033853988, 733.76155374612404, 734.77752950338902, 735.4044815020917, 736.33915166568431, 736.59143811069862, 736.8276115072747, 737.77014860205179, 738.0025137971727, 740.12683742790216, 740.64493706302528, 742.63494765597045, 743.72708580980759, 743.75504478968537, 744.49238032783092, 745.59918640463991, 747.01614731095344, 747.6153026001507, 748.75608352893244, 749.97372764017439, 752.65107561404568, 755.17362350728968, 757.15179011062833, 760.00194220056176, 760.77538037566285, 761.1249420880506, 762.08091408613814, 762.12395538383919, 763.30814462066644, 765.89373560392107, 766.36857404601267, 766.53554539937102, 767.96326774900331, 768.17666284625466, 768.66490929966335, 771.26762417284408, 771.43331013307863, 773.00053362918936, 774.44137334289792, 774.71875004508388, 775.59617830788113, 776.08272513806958, 776.5384601783378, 776.77343131078453, 779.18413307088372, 780.05328329619863, 780.75448985157868, 785.89601511734941, 786.21419032634765, 789.53359398814291, 789.79457103826064, 789.9585607679835, 790.54015453936927, 790.57291351395895, 793.58618951516178, 795.6232094417129, 796.36942216735122, 797.04689231076691, 797.28710919112598, 797.53496397961351, 799.44548487761006, 799.76643002069204, 800.75361129487192, 800.95282698006042, 801.84338774412061, 803.13992642191329, 804.13738458124692, 804.16478039121137, 805.28253704080873, 806.30904908415926, 808.11712435335107, 811.33304377196487, 812.1093523854322, 812.55678057144905, 813.93354418015667, 814.1265775693679, 815.37767146487533, 815.44719628350697, 816.2403574929109, 817.28860149613695, 820.50157465227551, 820.80986648005512, 822.55177415118635, 824.24005845658814, 824.42682193080327, 825.2165342055323, 825.27264766101734, 825.9159768327944, 826.98484508536671, 827.48414424544001, 830.72202060467146, 830.80566883920972, 832.67425643597392, 833.29097632682476, 833.51490606490029, 835.0327538116079, 835.34118901000147, 837.27128953569002, 838.05964503114114, 840.84668841374491, 841.34770069344745, 843.06979823374161, 844.45157651405214, 845.03376010658621, 847.15544849896162, 848.40788469574318, 849.35682348554826, 849.62275895548896, 850.05265537716025, 851.76631243876295, 852.32717894480697, 853.24328484841749, 853.35910569198916, 853.48698972761224, 853.66170637431594, 853.95602136754701, 855.36785952828802, 855.73991769174506, 855.82813236215088, 855.8530949572704, 856.41310495850041, 857.17152642016993, 857.36019085075714, 858.38489047278892, 860.52388854549395, 860.62399373907999, 863.49789855198878, 864.1250870190579, 865.53714427553882, 865.61986779258416, 869.00455059617389, 870.18352780810574, 870.89043819948949, 871.66102609759196, 871.94512759698682, 874.72241248202238, 875.27206792786887, 876.36116673500533, 878.70767306160371, 880.30237624636015, 881.29411305440601, 882.62098370244121, 883.73292254526143, 885.14781414445042, 885.36335066517393, 885.50743797500616, 885.83982329168543, 890.20569475163506, 891.44221912916396, 891.50147002642041, 891.92334072823166, 893.19534446162618, 893.27463488063131, 893.38971867107193, 894.32496557164234, 896.99640225045346, 897.16575235098014, 898.00820783737947, 900.46828556086166, 901.01527488482157, 902.31754202026843, 902.45845031526881, 902.73181022370022, 902.82416976898901, 903.46390796927062, 903.98409038900786, 904.88655837543809, 905.60747964152051, 906.31594315366442, 907.86860974914509, 908.38259840553076, 908.46719896097193, 913.25359359065556, 914.19791348420529, 915.45911473788976, 916.08389504273737, 917.22836095786329, 919.59458985992421, 919.74499007659381, 920.25304283562411, 922.64259113016089, 922.81247802924872, 923.92349416052821, 924.77506625339572, 927.52419885387201, 928.31941946024051, 929.67433361434541, 931.88065976884411, 933.0220908515945, 935.08261215370146, 935.2473288678483, 935.46662399533511, 937.69569395578071, 937.98460114085333, 939.93495589813574, 941.6148802427067, 942.22215235196768, 943.27115879276971, 947.08142263928471, 948.26305432410948, 951.70705965657589, 951.77039361569075, 952.37203825883728, 953.80043601949126, 953.94613610686383, 954.14415991887972, 955.16330885354705, 959.33383319703739, 959.36844881164529, 960.92078079597809, 961.58472296045761, 962.64089686127852, 964.34782996236913, 966.70503665436502, 968.91188396504185, 969.70753937211373, 972.25887060680452, 972.70760541473737, 972.79603626472499, 974.14946853721483, 974.77598599099781, 975.68714075680521, 976.86560667276353, 979.16111459242825, 979.98980386415622, 981.17684709143941, 981.32528018643325, 984.69856659393281, 988.01142719820507, 988.6960565243254, 988.78858408810447, 989.41930931220497, 992.0248562117954, 993.2343562665942, 993.45349291615696, 994.47176987270063, 994.76644527144288, 995.035135331226, 995.43118458208448, 995.70171614642334, 996.37892795164521, 996.78665430705348, 996.98061310878097, 997.38214956605532, 997.93651879453387, 999.78079266123098, 1000.6878516472306]),array([93.766395117661077, 94.038739708445036, 94.25404214239704, 94.311911071352611, 95.503725077314712, 96.345510991526908, 96.491099525205485, 99.1146105576492, 99.299680656392638, 99.369798135746947, 101.25061836239581, 101.78756203220939, 102.84243966974086, 104.80171194358373, 107.97898586291097, 108.29535107573913, 108.45757842375838, 108.65606912315231, 109.0551472128583, 109.19479919165281, 109.91390346263672, 111.56630841037813, 112.8409339302128, 115.94385500513532, 116.27333933809517, 118.06042880586162, 119.06507066131967, 121.2504316407659, 122.7792118558778, 123.24416223945542, 126.01679727584064, 126.93511437322499, 129.7607031610745, 132.87327653488552, 134.91846424726657, 135.53282717460243, 139.59071853959787, 140.68080236905951, 142.64492877998219, 142.71420478571292, 142.97358489670518, 143.95869621455711, 144.39493168715615, 145.7312436561408, 146.27670836460067, 146.74428496734663, 147.16500563883551, 149.84816797776827, 149.87740491470723, 151.55886176500931, 151.82334195366764, 154.06458136413659, 154.36071160031699, 155.07465165278109, 155.70999637919027, 157.82445452942093, 158.48917157079489, 158.73070697282287, 158.99347347833424, 160.07025858891785, 161.54287692388235, 161.76349913171296, 162.65038625585717, 164.11971215370343, 164.32224303354857, 165.20896839485869, 166.68959429397435, 171.21667482365305, 171.68754964385252, 171.93130297181628, 172.79076034845417, 172.99936586736777, 173.20143023061212, 177.21460306071887, 177.62741177134774, 177.93309148219285, 178.15630643762736, 178.88692373483278, 179.16174324825985, 180.10508515211399, 181.25934883176083, 181.64771814785362, 182.66131800208046, 183.03120942667309, 183.49364684166275, 184.62477089435575, 185.02529174505969, 186.75029916814563, 187.23859237152433, 188.55803721127631, 188.75617329638965, 189.00398707323106, 190.2037474542488, 191.24834730034016, 193.01030135006846, 193.45035569462439, 194.14489161820714, 194.48331420841791, 195.07799240873393, 196.03503133032652, 197.60365864671454, 198.07018589184986, 198.93120797627756, 198.99842845429242, 199.16351335215765, 199.32169596226836, 201.31845693298283, 203.69813666629261, 204.16291024366106, 204.39741564482819, 204.46936704990853, 205.64700711004747, 206.37390160293697, 207.86344387642097, 208.48825781844639, 208.98950779916004, 209.10195594035599, 209.69320752483961, 211.86989453877098, 212.32225108072728, 212.43330382828108, 213.31581658462198, 215.82606005354722, 216.65098793326229, 216.67362624226874, 217.62223508014335, 218.1622138047978, 218.5597152028308, 219.20300299543402, 219.45377077790539, 222.02993640400521, 222.82300357049337, 223.29054105069329, 223.68954944819848, 224.19910253918775, 224.31775654539302, 224.46726277289812, 225.73430418022735, 227.78026446928214, 229.91114473310193, 230.13661177557285, 230.71670625157321, 230.79676601186523, 231.32940301744912, 232.44636661156557, 233.84186601289022, 234.17399128298365, 235.12424752867304, 236.93574897020343, 237.32983131172855, 237.52783309069875, 238.43452641776358, 242.48162928234316, 244.69431615866921, 244.91476600445313, 245.45694841456483, 252.69394359008442, 253.15946145123203, 255.02718575019892, 256.48206061654918, 257.99267640388882, 258.89147253415513, 259.18011065570494, 259.55626323829023, 260.19926319387872, 260.22320763828719, 261.2772288503956, 261.72858827721342, 261.92000414730643, 262.58831501247556, 263.51845965502201, 265.05397984114325, 266.86776446315412, 267.16792178955012, 268.290527641099, 268.31855259560007, 269.36659196215902, 269.81904122707141, 270.01480632595468, 270.13427949738434, 270.37508002453728, 270.54663936425152, 271.69920388388203, 272.57665559343224, 273.48634914543862, 274.07949329659488, 274.87525406473969, 275.56312003843362, 277.40215213785973, 278.31930067506494, 279.64828757623678, 279.86950488216598, 280.26262028226046, 284.15749570171135, 285.66023784805964, 286.44551852548966, 287.14253567035308, 288.76505059371794, 288.99406171607041, 289.5577115602506, 290.05443123221698, 290.56254853500235, 290.73746607162678, 290.92228913015759, 292.48876392416895, 292.94959203883758, 294.96619044800173, 295.9979346775973, 296.05051922047733, 296.21871700736745, 296.68860859118229, 298.34770276756467, 298.75780324772279, 299.70111583718005, 303.25865829478772, 303.96561324434492, 306.9130502026685, 309.92339807435684, 310.37931232282637, 310.79972785182474, 311.03182958671323, 311.54166524916303, 312.13087974804199, 312.46544791054168, 312.71848767985011, 314.85749312995233, 315.38079326052082, 315.9544979124974, 318.08651044937284, 318.19966876222747, 318.89471856914463, 321.38338050409334, 322.07436722550563, 325.74448303064599, 327.18496865256895, 328.09882791581362, 329.13292607416281, 330.81795068220686, 332.4947713452915, 333.3698574859539, 333.54507065529202, 335.9559907615776, 340.20754939075641, 340.66865403715758, 340.77228223714826, 340.91620837822722, 341.98351200620868, 342.53210414186134, 343.43211212730279, 344.24800813374787, 344.74706918170153, 344.82184796157543, 346.16076799389828, 351.37904644601531, 353.10534686156444, 355.1045858946361, 356.23090109134461, 358.56713549526103, 359.60357994848806, 359.98988727505815, 360.1521358261021, 360.71064864307294, 362.51738048017268, 364.68673795841488, 365.00941805246634, 366.98076474519235, 367.3004086183592, 369.53054585285844, 369.68959934114025, 370.11671128282444, 370.48921606453769, 371.76766499636949, 373.74453110899412, 375.33400066818945, 375.90203177698686, 379.93357853716793, 382.15452630148911, 382.92790898791321, 383.0243221663269, 383.11970962022491, 384.27507814403253, 385.158051548461, 385.51293275929197, 387.31469245375837, 387.48018642128517, 387.50209454209988, 387.67411245169211, 388.15232988875886, 389.65221243056135, 389.96635705239072, 390.16739538553549, 392.07576084110315, 392.83597363983023, 394.0141356000301, 394.35934667051453, 395.0731645828464, 395.7069572394895, 398.26533069750332, 398.56499043882241, 399.74348497815248, 400.19375768620472, 402.26081949629099, 402.38138663541866, 404.33553755587394, 404.8554057959841, 405.03150419831667, 406.07201085652395, 410.20236690585608, 410.67795146678435, 414.13081241276507, 415.47185180267115, 416.0890917120297, 417.3093103425141, 418.16462738194093, 420.44281454816092, 421.01985340874813, 421.1413594811828, 421.82736180946756, 422.54495130861153, 423.96375455001407, 428.12848288417354, 431.6798345286162, 432.77269356154693, 433.60591410863856, 435.52662547403651, 436.17644205791743, 440.55113696713011, 442.15646699913532, 442.27848131577491, 443.33337174863431, 443.82508400701363, 444.31874755187584, 445.4162062207086, 447.3601080176901, 448.07667197341124, 451.29308335575291, 451.69888208670403, 452.67955407479468, 454.2211206043209, 454.27224687033112, 456.47908623899644, 457.95794294897263, 457.99699928018362, 460.01387544367975, 460.14138147036942, 460.35629208928935, 461.89747551151243, 463.20278163578394, 463.29928843765811, 463.89239294278917, 464.87837970807436, 465.20608893532057, 465.62035459647711, 466.65421955540302, 467.09985598835129, 467.54835310094228, 468.9703489290938, 469.15552378548733, 469.76898135981645, 470.15202467873536, 473.86719422310057, 474.97395408065438, 476.09278036943584, 478.55101795638785, 479.75003803690049, 480.54411543919224, 481.55900582800069, 482.22230048725129, 483.70192864957164, 485.76167014046297, 486.06583137446171, 486.79183485658734, 486.95683249074864, 487.91443597190533, 489.33976612639094, 489.42631450394953, 489.54611608122735, 490.17806059492062, 491.96673105027986, 492.53141306181078, 492.57816386155059, 493.0507643166834, 493.07149345237423, 494.06640375464758, 494.17650184385286, 495.08924182814553, 495.6357836235203, 498.65186365190198, 499.26468988048941, 501.59049901403023, 502.47332908679073, 502.60627823409931, 503.76362579675663, 505.11960912408682, 509.54439085239756, 509.75751127382398, 510.05513556112453, 511.11383936567864, 511.99514063977199, 513.12414742223791, 514.35576551297049, 514.40741286608227, 514.59351617044626, 515.36738068823774, 516.72954209566387, 516.76107524145743, 516.81342907004171, 517.04242514231862, 517.49514796665596, 518.46915424075564, 520.47395558886274, 520.87693146370054, 521.29439254761701, 521.57406161090842, 522.0874107021491, 522.4386986935948, 523.24246954194257, 523.28846949801812, 523.42031758903818, 526.70956593163839, 527.16244992985173, 527.34379009549491, 527.73473957034912, 528.55058789302541, 528.77501279902185, 529.23888823598429, 530.24358481714671, 531.12632934142198, 532.16868266063943, 533.17541886946276, 534.31596327174339, 535.32604496925092, 538.27442824267848, 538.72888933883053, 538.9917206717007, 539.17882020129241, 539.50549712103714, 539.71754592612911, 539.90267350544025, 540.95489451005812, 541.04657597479672, 541.10327577631836, 541.19929381670568, 541.50668869744163, 541.95042724430664, 542.8621610592736, 542.9297396296414, 543.04664709487372, 543.7954609876731, 546.3934576768994, 546.63639456780254, 546.86782573267146, 548.57823779932812, 551.74188861021764, 551.80807426520346, 551.90908368610576, 551.97706456356821, 552.97084348516944, 554.1382107209779, 555.09273027843722, 555.21765984269507, 555.48761265540315, 555.71761219683162, 557.28593596563883, 557.709410691009, 557.95885421182027, 560.37728566154669, 560.77500684059669, 561.15223845411617, 561.29137143873822, 563.17946020716181, 564.29570231825812, 564.35608768597444, 564.63958740086184, 564.76786329094, 569.0694740963196, 571.46081034595841, 571.55019568361672, 572.04385335103848, 573.28595702128644, 575.8545137763972, 576.26000119123648, 576.52739762532929, 576.61352852630523, 577.44672449276516, 577.79568108689648, 577.81755609023014, 577.89131731962721, 578.50303353954371, 578.66862031841117, 578.73574094246817, 580.54569470264335, 580.77615901980585, 580.81727448953711, 581.82322510845324, 583.58427454828177, 584.55420895844964, 586.12809258311916, 587.44250794954792, 587.55544184635789, 588.36689350752499, 589.3355348641611, 590.89245342528022, 591.15024922558791, 594.88697561893935, 596.73000061780533, 597.05449959218902, 598.60561272794314, 599.59148460888809, 601.05874962925793, 601.63533953987564, 603.40496879264651, 603.89753701291022, 604.33059050539032, 604.61891401297248, 604.64523622506476, 604.95847262570112, 605.10133079529214, 605.6741194900743, 606.95994308441936, 608.12810731094783, 608.72694231874141, 609.97973905704782, 610.35123128370378, 610.69312795418853, 611.11139474509298, 611.35893521342734, 617.63187052396347, 619.81780467463682, 620.60684822705389, 621.43813338576069, 623.91463521919115, 624.33810547861947, 624.57306998193155, 628.40223704945731, 628.92289737411897, 629.2816483716598, 631.82249521906442, 632.38022960630656, 633.46362349877325, 635.75742411199212, 638.19405016559995, 639.62236871877712, 640.96758441236398, 644.80766809630325, 645.88880741123694, 646.19743184693402, 648.57302742300965, 648.72386158692655, 649.22839765136689, 650.52950719653552, 651.02924960458654, 651.32859841497066, 651.36304688263579, 651.44958679379135, 651.60289665772223, 652.46138521090757, 652.53103613035091, 652.98410918453794, 653.51539434759934, 654.82363962576426, 655.07026666306695, 655.54189985376524, 656.46537439752115, 659.9953636796298, 661.85547509957962, 662.48085123705448, 663.91371529516289, 665.23395559649043, 666.04687378877861, 666.87016984776562, 668.44853155034014, 671.08088669624215, 671.79110397572447, 671.88304281237185, 675.60507321151704, 676.10931803422977, 677.22609370958423, 677.47851273391007, 678.43324369884419, 680.10803044016393, 682.06941938654495, 685.178959145715, 685.88688136787857, 686.89239378972661, 689.38466039561695, 689.70965787420573, 691.24910447653383, 692.37773394513056, 693.77708201189023, 695.30785250391705, 700.87813331443704, 701.80982266957619, 704.40650970304478, 705.16322329878699, 706.95109566961912, 707.32756142886319, 708.49061708059378, 710.08683456450058, 710.18144935132341, 710.23375324572999, 712.26778544804074, 712.34802352287909, 716.23817241303198, 716.7739196259007, 718.12911748367048, 718.42598520469119, 718.606880133338, 719.31899976643524, 719.87095426539838, 721.34206419583063, 722.54481205144918, 723.37088303444989, 725.57225669527463, 727.29295497047735, 728.76141308050637, 729.07556383346696, 729.17421296187047, 729.7836272628399, 730.06576585610355, 730.36748194720292, 732.31835270334022, 733.73835499529503, 735.15516133845847, 735.99894899772266, 736.82162487130563, 737.18598775938426, 739.04271521705994, 739.72889784934955, 739.84736144162628, 740.04699249759472, 740.77172432751377, 742.65855445477882, 743.41264644034277, 743.6563671630629, 743.77240870529931, 747.49170026766228, 747.52612907774744, 747.57325305604684, 748.03083789780158, 748.48424786862915, 750.55299994162635, 750.59293288315223, 750.99820595696292, 751.19447311670081, 751.62331545273003, 752.2982658535725, 752.4277020843839, 754.29898587623882, 755.34939568022492, 755.68183324211429, 756.02197041495913, 756.13157212903297, 756.60067783385102, 756.74997782544358, 757.00441054375153, 758.51184500781392, 759.22085484825311, 759.88362787422568, 760.16580250467541, 760.81618188325706, 760.95847116511959, 761.03548481784776, 761.68240559345554, 764.21759981633988, 764.91029792455117, 767.03618952651186, 767.71785775583135, 768.89497353150148, 769.29592178244911, 770.28204476100029, 772.70558609857676, 772.83836045923226, 773.16145237986859, 773.69786896618007, 774.5686193362701, 775.00435091217048, 775.10130216393645, 775.80907912309078, 776.38212565666743, 777.36437253924908, 777.63971813869841, 777.76088129699122, 777.78667261528369, 779.53850445705007, 779.85680336888151, 779.87882664233325, 780.29923180224864, 780.74077784556914, 781.66012093787913, 782.86178265997489, 783.09171587105641, 783.45185941719319, 784.17215825059805, 784.76620756024454, 785.12335819302007, 785.45683500371854, 785.890854281879, 788.20729514718346, 788.73097080348077, 788.94926674819988, 791.14676995081663, 791.95288888736491, 792.16449270509349, 794.15308962986126, 795.55614763907488, 796.18207463681961, 798.20203519999632, 803.01413660357423, 803.11249665674245, 803.36637171052803, 803.68164957077317, 804.78623113706249, 805.34015329293811, 806.15195927671084, 806.72481438936006, 813.95356149259067, 814.38152895954329, 817.81000049365923, 818.74270384159797, 819.19239804575159, 820.11562460223627, 820.99272292827629, 822.22553805529697, 825.23070381106118, 825.66305212017312, 826.32749984208874, 826.38234121571168, 826.87600262200499, 828.49913011655872, 829.36419113036766, 830.27394337763542, 830.90984190196548, 832.67806707070758, 832.9251098220285, 833.16819532481168, 833.94862705797561, 835.37290380631578, 836.43865751110604, 837.03540600301244, 840.40593462883726, 840.85375345680598, 842.21288823349778, 842.28766480685522, 842.64783724935808, 842.82503711422282, 843.06909762941496, 843.31494411027711, 843.68049199473887, 844.64158975535281, 844.80116497825497, 845.17643623046342, 845.68830773980369, 847.34423005303267, 847.76412065107672, 848.2484474168366, 848.39801112751229, 848.42376090679841, 848.64897905301859, 848.98250513873302, 849.10011627938138, 849.54620286949012, 849.84607514430616, 849.96196448299963, 852.16080603930675, 852.80016885617158, 853.69469575589994, 854.70108384386151, 854.76958909553503, 855.33798363416975, 856.07806938696206, 856.28864385647, 856.31201973895384, 856.58617301120239, 856.81947079904171, 857.5467385952694, 858.5614982894142, 859.45424531172489, 859.69903272961062, 860.13228297629064, 862.23414313612795, 862.83199519718789, 862.97399755077117, 863.79459486183634, 864.09915638478799, 864.19076954189745, 864.72063880484382, 864.99042714157576, 866.29280670194032, 866.6175343361441, 867.53890504455626, 867.57560168341922, 870.34815449237351, 871.00840432977111, 871.46924385756495, 873.27375686769858, 874.39861642831283, 875.88665983930468, 877.35030099335415, 877.49837167049327, 878.69522907270016, 881.39838604195836, 882.42033569206808, 883.96902241115708, 886.08022316652216, 886.30538054548435, 886.90058408879008, 887.6103935395322, 887.70908935994225, 887.83649286186687, 888.21198449908616, 891.28809014779426, 895.30739212587014, 898.63122151975983, 899.79269514244868, 900.92669631922354, 903.70907274310343, 905.31660790426088, 906.99746058628386, 907.80085080571791, 907.91462620810773, 908.13993342280935, 908.38329581266078, 908.83171073110896, 911.13915335482841, 911.21745122585946, 911.75537251359663, 912.49652275237031, 913.19513833187932, 913.36257605214996, 913.60784823941037, 915.65937812454524, 917.02193186107331, 920.34004752665453, 921.41333349183981, 922.10852502975933, 922.52242218571223, 924.2455245413671, 924.33019935150105, 925.89787536199822, 925.98670105658016, 927.27933131591465, 927.43795533538798, 928.05231832310915, 928.28147470538033, 931.86313319942553, 934.17300493132484, 934.38577929947746, 935.9340049217501, 936.5787311005555, 937.06610383950328, 938.87377091744304, 938.93000338106719, 939.88429196372124, 940.47227430388887, 941.18392394502553, 941.55246487357681, 941.61057597374065, 942.77266427607503, 943.55301715597909, 943.7918995199949, 943.89713041649622, 944.38814690341724, 944.50098171374646, 945.13760308338078, 945.57638371510382, 945.94276337385134, 947.80714685072542, 948.10255965095826, 948.26785473312032, 949.13493100393055, 949.74466750623094, 949.86228259900804, 952.02443312218463, 952.88925192364331, 953.61911704875183, 953.81476798842266, 955.14306491848708, 955.3601513071095, 957.94718904679678, 959.55585070090592, 961.16546194012085, 961.30875539209114, 961.68818531721661, 961.81532803891002, 962.11553322773352, 963.5392990026196, 963.64538937932832, 964.00551207071987, 967.94618130007768, 970.18506958566934, 970.49914259074046, 970.81356612758907, 972.76292000556657, 972.87758337911544, 974.41124456454372, 974.81271678570056, 976.19599276859867, 977.57175874848201, 977.64799076156271, 980.145070410843, 982.69765037516356, 983.95337562322072, 984.40810748160322, 984.53490262688263, 986.51372795390125, 987.36919103084699, 987.69954287930761, 988.20265270802111, 988.27118388857139, 989.57630963854126, 990.70605473068008, 991.30070221559833, 991.54850865804497, 991.64753704307611, 992.96872646282839, 994.5106666312771, 995.52844235550765, 995.88877647123923, 1000.6626242139936]),array([5.7664189353921813, 6.4475642283994326, 6.7775750006425683, 8.3490419442208328, 11.757606153745629, 12.109406661171283, 13.664276157270482, 13.862272781235463, 13.96258528405022, 14.110206217360384, 15.648603254643941, 21.900885050678944, 23.195299631423232, 24.441738934031548, 24.676018800544025, 25.642640559968719, 26.349689524455613, 27.324679791242751, 27.648018231429283, 28.032865129849412, 28.142003570852655, 28.52086819848958, 28.64947828939702, 28.857910668654533, 29.335054883922584, 29.654395180079781, 31.091188336048777, 31.349718627056188, 32.114275535586032, 33.321058124084367, 34.349665971690996, 34.837603373648733, 34.914686386300801, 34.952196941653526, 36.049137875780637, 36.716175945086498, 37.444351428305147, 37.608054876778432, 38.412262305848451, 39.973112408163232, 40.659181255804015, 41.726987227309856, 41.981535910229489, 42.270584258758497, 42.606535358075696, 45.154323328000757, 45.510794259973878, 45.871550796907044, 45.970521152303128, 46.154000345370726, 46.80576453748688, 49.267728491834561, 51.748378678470353, 52.003162367345148, 52.347086278474684, 52.473170823534446, 52.711003257801423, 55.858269529622277, 56.345798364919759, 56.428949135481425, 56.686185514252308, 57.229610360250483, 59.210299024898681, 60.693730152276885, 60.724921031584962, 62.407521977007086, 62.470127600807828, 63.617227850945213, 63.748226017043137, 64.079036601167644, 64.142169240787197, 64.459364380291646, 65.519447585986569, 66.035137250123825, 66.573486954486995, 69.627722022010374, 71.672733358274314, 75.770332524261747, 75.915234191124597, 76.004588710035151, 77.840661438392488, 79.442638270670344, 80.150701079225456, 81.561445599119736, 82.685085017268847, 85.27014028164055, 85.729970381930087, 87.030396055538787, 88.987706660005642, 89.968399283157581, 90.701820030035691, 91.203297548840979, 91.394546770289807, 94.337343201755914, 97.197042252961367, 97.645072141223309, 98.171137993272339, 99.335956175277985, 100.12541622869774, 100.71713954619639, 101.57427542157328, 101.90072430878482, 103.46592449472871, 104.24949202827166, 104.79259610253565, 107.70140231132849, 107.90480454854271, 109.066713419264, 110.62121812346599, 111.84596634209423, 114.32077772129855, 116.96275347527398, 118.03489208580399, 120.62119748940343, 122.4530573954836, 125.00381061101662, 125.84124832003469, 127.23801067641082, 127.54390747848467, 127.79346706678805, 128.30769802459415, 128.9598138805213, 129.13646854668875, 129.31527228545738, 129.40904203396261, 129.99615807076296, 131.33039085552693, 132.79288329784356, 133.58998117181113, 135.22570782050187, 135.63438260207619, 136.2453177448289, 136.27537464664729, 136.4105310019533, 136.69633238107153, 137.19225954557618, 137.25347930434975, 138.0493016586293, 138.41858828076786, 138.88469212542211, 139.30971535301634, 139.51554859355718, 139.88115746717639, 142.22273293883779, 142.26709496735455, 143.13601155767472, 144.72322931137262, 145.64230386046091, 146.06863134118061, 148.00929533104159, 148.30606859875991, 149.15995777862324, 149.55752141900632, 150.13508281943447, 150.66885220766326, 151.52647511905155, 152.56917730609823, 154.13760847972452, 154.68085249402088, 154.87304192774968, 156.03373676692851, 156.80572320938128, 157.86997702826611, 158.75805465840799, 158.93971890790422, 159.257351848935, 159.29894283139723, 159.34530062807909, 159.82247092957326, 160.40154665289984, 161.03698643140024, 161.11697523347846, 161.34285304181122, 161.7315998616254, 161.8599328101333, 164.04358584351823, 164.21338587890747, 164.31443875214654, 164.6202834878676, 165.48425220468297, 166.59007331453611, 169.50210457187788, 169.67175331818507, 170.1638892668702, 171.64447881253727, 173.41399263419879, 174.26733930887622, 175.03042203579298, 175.40435693402839, 175.80409486681805, 177.25733757495465, 178.15628490150533, 178.68849817112465, 179.10776673964529, 179.44130916354032, 179.75530103144209, 181.13361281875137, 181.49880989904847, 185.142682539248, 186.30882468501241, 187.58096649800854, 187.93603168416411, 188.63574455235897, 189.415246702421, 190.30222632609423, 190.68584333793106, 192.70881912789955, 194.53872345381734, 194.883829450805, 195.78074551813395, 196.25149847543719, 197.66740691625287, 200.67457949969489, 201.65774182091744, 203.16831148498611, 206.49813880504846, 206.67493803277819, 208.17862541267328, 208.20592515386647, 209.40075356141645, 209.43288121914028, 209.8737435509218, 210.61965927307776, 210.66984158514467, 210.974557660513, 211.35603976973832, 211.66253192623137, 211.98849077591152, 212.24243510034614, 214.16628581446787, 214.85442247312284, 217.1301978204593, 218.20435954454456, 218.46154384672403, 219.69789984929159, 221.80706736150302, 222.19907230425517, 222.43635426175163, 223.02761675006971, 228.34904064855016, 228.54383973352071, 228.71504481920707, 229.80751576441523, 231.22041032610053, 231.51686548022218, 232.39979949357974, 233.2202841404071, 234.37671412551524, 235.4072235405211, 235.64953442317577, 236.93093055120485, 239.17485051005289, 242.1334618434656, 242.55949656760512, 243.27590476400115, 244.12058971184291, 245.43506700533175, 247.03956021455213, 247.46341924547184, 248.50886975029317, 249.13092938773059, 249.19969909816112, 250.22823662590861, 253.07084871729336, 254.23844153198158, 254.27789601400229, 254.72779139374128, 254.9056542282739, 255.48185511056857, 257.14475976390963, 257.48735677811271, 258.13638213921672, 258.53315654170382, 258.90900243673184, 259.84831932643914, 259.90370209119993, 261.31339436977692, 261.36889400755382, 261.82732697266783, 262.02806106378961, 266.65097953690719, 267.38961839826953, 267.73559360234822, 268.07706145436646, 268.42950594936764, 274.2228827547853, 274.79407127389749, 274.84775001153571, 275.40289235257029, 275.58190838408632, 276.04288032654199, 276.21620447767788, 276.27929298389955, 277.31698037090041, 277.58055012951081, 278.23633674344399, 278.46853322501346, 279.14428216432935, 281.82859280482825, 283.95898638368442, 284.41163187117269, 284.60574992345897, 286.73845851342026, 287.87109116903338, 288.75038148246546, 288.94068715815177, 289.1377247257218, 289.25239349458008, 290.5963575430705, 290.76914210613461, 291.33262166328484, 292.09325216154002, 294.34848793237802, 294.43599081759419, 295.49854072798985, 297.87860133318094, 301.20585496909172, 302.52089317568459, 305.33727849008142, 309.01012421895916, 309.57788875759206, 310.85216779814863, 311.98416346755738, 312.43723465146206, 314.1466231415535, 317.28513177821924, 319.35396553700684, 319.88114647153361, 320.09514509084767, 321.15054186186001, 321.9084122623189, 323.86443774438999, 324.8166400474052, 328.6522708705885, 331.25969765838147, 331.37192715444553, 333.28982200172931, 334.43364351362737, 337.95688843135167, 338.03810229897175, 340.5664876508975, 341.33756687199758, 341.85709240611101, 342.40927305435457, 343.06051861682676, 343.08584992883584, 343.45952669421359, 343.73856237788715, 345.64948307349658, 347.32669491961661, 347.80840906121966, 349.23532112332413, 349.72133746916444, 350.71649812384572, 350.80663647157985, 351.59160618198115, 351.61401183146, 352.52032081046929, 354.71800225155772, 357.01365788987152, 358.02406537024211, 358.41551299964755, 358.73227940888876, 358.91092233001126, 359.76877390398624, 361.37864713154494, 361.44457804212755, 362.11985395463557, 362.21291736309615, 362.97806963566342, 364.80378093013775, 366.21540201808017, 367.4332463298407, 368.63907200929992, 369.35284260460219, 370.43556245412998, 371.57720390515215, 373.52095334120327, 373.87790703520199, 375.25988861011302, 376.06279889227471, 376.59916436381667, 377.59065639338968, 379.14626197239966, 379.52268253010124, 379.93209784510998, 380.39402490395946, 382.77416079612959, 383.25659151168145, 383.89300470797406, 384.25844199048635, 385.01220749328689, 388.52749742774233, 388.86972459194516, 389.46508816578734, 391.10682814397808, 391.52495075766001, 393.39145993200361, 395.53190120225469, 396.79137543447479, 397.61189100194116, 398.22858546886511, 398.29644314247571, 398.7418946694637, 398.78017789539786, 399.31919925666102, 399.91875632134048, 401.35439395465528, 402.12696010179769, 405.95791344857571, 406.13581668633446, 407.0828347437303, 408.0114887256002, 409.42240741198924, 409.68566098106282, 410.34209750420121, 412.29393736500361, 412.43145898258717, 412.46299291709056, 413.68365312413442, 414.34683656731829, 415.98163675474035, 416.25586039224675, 417.57604201445963, 418.4191651118532, 419.77246851038262, 419.90199720724218, 420.41735575131077, 420.93215994335037, 421.24550464683836, 421.46735282833288, 422.08574611272422, 423.86163909089237, 426.5356939090297, 426.87372896930458, 427.92491285414991, 432.19546625780072, 433.1246937129568, 434.1873807506621, 434.4260836730553, 435.02163343395893, 436.32153238905875, 438.56615835868456, 439.28396495304554, 439.75780953062912, 441.29927874796653, 441.91053744432355, 444.67132094516506, 444.96635497398131, 445.2687348000469, 445.68388554083691, 448.41720112420506, 449.89364954340948, 450.92512393971674, 452.26822654217028, 453.14050218961029, 455.03522343480302, 455.43981095219175, 458.46941495201804, 459.03510002845479, 460.62198317537622, 460.72698538647131, 461.68666972100198, 462.15075006063728, 462.26137205259977, 463.40968471870616, 464.23994457915762, 464.85714229468289, 466.00916960724038, 466.10892023673574, 466.87191791932503, 467.32087737137715, 468.76830365100358, 469.72541895288606, 469.75097441345576, 471.47266240893856, 471.73868972495802, 472.50496675028023, 473.13582811607114, 473.43922803829139, 473.75226109918032, 474.06875328185163, 475.47767825429031, 475.78029871142098, 476.45486988024686, 478.97528050491803, 479.03581915584408, 480.35988571717542, 483.37709108648176, 485.28476810507578, 488.2546748052913, 489.26107522992282, 489.72921922182798, 490.24647151764469, 490.27922301313174, 491.30897875852088, 491.66367927474209, 491.81582073087685, 492.73838304356036, 493.26845547399955, 493.92900134682935, 495.14820332042353, 495.35150353954344, 496.78600140893508, 497.9084407420072, 497.93988065334713, 498.0736021032933, 501.69816597789725, 503.45445921387056, 504.23904112027105, 504.41775209885856, 504.57583978681396, 507.2477734815443, 508.86275748480665, 510.00824632486621, 510.02928747393014, 512.24304127419077, 514.72374143116247, 515.62934325527056, 517.26913496949885, 517.52437901763676, 517.91179596636539, 518.06152734340071, 518.12334418144007, 521.51487244673672, 523.6563492081674, 524.93329076020086, 525.90895001270462, 526.24954840493626, 526.8785521550044, 529.90124378847997, 530.64348196662081, 531.73438385264774, 532.29382266939569, 532.45383929524871, 532.71002130147792, 533.75498906021835, 533.94140276471694, 533.98320729161173, 534.76669258283687, 535.05302687497078, 535.68035726064966, 536.80762762271399, 537.38264257995718, 538.90710627226838, 539.85041264433698, 540.43878739897366, 540.57553225141362, 541.19231420902736, 541.54957409383405, 544.19929161778396, 544.53310532426167, 544.8892807235602, 545.13914849303262, 546.46941035372913, 547.34623213287125, 549.9252410750014, 551.00079286275331, 551.13960028130009, 552.07921380807352, 556.28133091434779, 558.31682881515644, 559.75944097177899, 559.85166909776456, 561.30106601312843, 563.20421178728702, 563.4081613634761, 566.65127765231591, 566.92880023202656, 567.03249506773341, 567.34522147790165, 567.47791860732957, 567.75191929078619, 567.87154705854573, 568.00098603006256, 571.49937932580974, 574.06252061851762, 576.10197351828276, 576.29944250361063, 580.18487932021515, 581.03509457159907, 584.84094071880122, 586.30147856376379, 587.39524258183417, 588.62676764276716, 589.95144006549231, 591.19408171040232, 594.22395753909655, 595.57395865997285, 599.18797803690518, 600.00230631463808, 600.84377451620855, 603.24218633424357, 603.510084469189, 604.28983454495722, 604.81809607719617, 604.93086743330355, 605.5237099369059, 606.72191732841009, 606.86051117099601, 607.82362894192806, 609.93878053501635, 610.49257659231637, 610.84370267683357, 612.6148509528042, 612.93545715721211, 613.90414468057111, 614.49849142209769, 615.21310231993766, 620.63510559586177, 620.68621316535553, 621.05612648929002, 623.53009904242958, 624.57103232063287, 624.60181759709099, 625.49452293559887, 627.03287220414859, 627.07480811343703, 628.81745817210333, 630.62201801115521, 631.07573746419052, 631.28454120844822, 632.37183850168879, 633.20856658742309, 634.60552072379414, 638.4756426993556, 638.52776919414498, 639.45342960506014, 640.35943647065494, 647.09964236350856, 649.75147759992399, 650.26801550557502, 650.36323199820004, 652.02296295894234, 652.70675851034275, 652.99195135863738, 653.79296949936202, 654.25799142902929, 656.61205640486662, 657.05558992983583, 657.52470961993959, 657.67206645036015, 663.02756390363595, 663.43553912363609, 664.79430403805509, 667.35431583572881, 668.29341236966218, 668.807014703851, 671.36051068266511, 671.38778606624953, 672.83020926841732, 673.19844322200106, 673.98318956142145, 674.01879168131029, 674.19887520209261, 676.6754106115776, 678.1112549646856, 680.03292755985581, 681.63207380754068, 681.80406045546408, 681.85980804870098, 682.42779983286573, 682.58401483282171, 683.30556907627761, 685.05231600220009, 688.6582020957951, 689.38752625543327, 690.00752876512627, 691.57995621535611, 692.87385010006653, 693.30400878642683, 693.7530933800341, 699.71226402247714, 699.98808809126717, 701.75676285868792, 701.87392620060041, 702.65649443243922, 702.76633679415249, 704.10937799026613, 705.96311304924961, 706.10658576950368, 707.47339784531027, 707.91949330757836, 708.92205357468299, 714.13042643415872, 717.39049513898408, 718.75344388620863, 718.91376173143681, 719.11049245869503, 719.50515559687528, 719.76931290934897, 720.4015271420426, 721.72846941376952, 721.92053415799194, 722.84106077591548, 723.4179447482054, 723.50244656135953, 725.74675472804256, 726.06894788670297, 726.85912245615498, 727.95946669781472, 729.44629019279887, 729.9525374385812, 732.68016558237218, 732.89347434355193, 732.99542264899696, 734.20054690295319, 734.28539405386709, 734.31705114236968, 736.29605923135045, 737.34275756499483, 738.20718798371695, 739.47039802058168, 739.78571164416758, 740.14082629282848, 740.82620426167693, 743.29306441526569, 744.99316913011808, 746.34330363157324, 746.36508507834697, 746.93462765687502, 748.332043375279, 749.01140973567703, 750.15299172558036, 750.20663101263824, 750.74126972208512, 751.27735375101486, 752.38305804894719, 756.62859241908802, 757.85815246814468, 761.58604977478569, 761.67296019780133, 763.9975481015972, 765.74454784573823, 767.59124576675322, 768.86997924781485, 769.53473328386974, 771.08036495308295, 772.78158871669746, 773.87364845797913, 774.17130805523743, 774.4356665624066, 774.79038131860057, 775.9147767570679, 776.78841447224931, 777.18725165133458, 778.10808954287643, 778.38779674374416, 778.42312539231625, 778.44657794353361, 779.47323507201952, 779.9278555364134, 780.16492001344079, 781.60479824060553, 786.1772841723199, 787.33779893553947, 788.51359014355091, 789.18808929344493, 790.33623278211701, 790.637700189572, 791.85524065385925, 793.39510455226105, 793.77817551454905, 793.83766130724564, 794.06350764055276, 794.7368736288779, 796.38024609409797, 797.05280102713311, 797.46549597084049, 798.99643352352803, 799.17309986740679, 800.63468459213709, 800.75731558389919, 802.03389242311368, 802.65784129147437, 803.72852080218945, 805.2609308656231, 805.30951313972423, 805.76052900873651, 807.35514658625391, 807.94686616569402, 808.40195787591858, 809.37735184528287, 810.66118478531087, 810.7393259656651, 811.7456433620581, 812.43536505715952, 812.71129776928865, 813.22067065849228, 813.56519666179247, 814.01808868746525, 816.74443194342427, 818.36595017420996, 819.31638896913159, 819.90523253540573, 821.69246154218649, 822.15582992556381, 822.19167499198204, 822.60915408681649, 822.88908060790004, 824.86199600064515, 825.72846463967903, 827.16471662633921, 827.37113186774081, 831.50699281794755, 832.06755186738008, 832.50578797363653, 833.420535980929, 834.88069537682748, 835.72126414162517, 837.63078553168327, 838.46600438256837, 839.30521938449658, 839.70259371437021, 840.90653293190928, 841.36326499031179, 842.44663022124587, 842.79561732426157, 842.90870233437079, 843.80930576847197, 844.77521211508633, 844.93331381571716, 849.00697943665648, 849.36086912573103, 850.13113791679939, 850.20966834185515, 851.30637459617981, 851.92168539369129, 852.08904307135549, 853.72278242342236, 853.86616376273082, 857.09372801587961, 858.53693043424005, 858.81058268843617, 858.95857892958452, 862.29760909092397, 863.0322873828004, 863.28553206209051, 863.36664572291511, 864.48477787510046, 864.97259339255447, 866.16240892931614, 867.52017802123635, 867.85557945361791, 868.59270262301561, 869.63722156712322, 870.28148505110892, 870.54338716085965, 871.66362742770002, 872.46709146803448, 872.64677903595498, 875.34229251361694, 876.97752042500031, 877.35122787948171, 877.42076554243079, 880.05629031001615, 880.4478228435654, 880.48405733587799, 882.06299681915721, 884.11558447796153, 886.71020609784057, 888.14999931661441, 890.00026257359241, 890.94689414069433, 890.99748480407891, 891.92677158184415, 892.03229127113764, 892.18536713288722, 893.07750442624729, 895.03815666508729, 895.82195191801998, 896.58675545697872, 897.98667578280197, 900.44202919052975, 903.4230161656219, 903.64571546505783, 903.73880926638674, 904.25763437828255, 904.75235215416626, 905.01436864049504, 905.46054204392112, 905.80284054177798, 906.09632719579406, 906.59286629059341, 907.00346248643348, 907.5291047138644, 907.67586915559411, 908.45219628732764, 908.8885581534945, 909.33759772488224, 910.60495926612498, 911.23466911894172, 912.00408976952156, 912.90214180986891, 914.06564474736535, 914.5994309310837, 914.69069115532125, 916.6134155028567, 920.76701177626501, 922.24943239977006, 922.54316112930519, 922.73191388977898, 923.40206253883389, 924.46593612002027, 926.25122039596533, 929.7855576775753, 935.44637797813834, 935.62099401715625, 935.74402192703394, 935.88796007958831, 936.38783808690255, 937.36834437548191, 937.67261786044924, 940.80711138081733, 941.39614284765571, 943.98641790236161, 945.24677739063793, 946.35549772565184, 948.57390962773673, 948.94247395776142, 949.34586274063156, 949.97938524951542, 950.97964128748015, 951.54175646521196, 952.2911358744152, 952.90731699471723, 955.48941496989289, 955.82535915499204, 956.99276405088187, 960.47033581089818, 960.56982888038533, 960.94097422689049, 961.02161489410855, 961.55090544616587, 961.59996647408389, 962.01076578407958, 962.07183803688679, 962.26132002795271, 963.67592773602109, 965.28784070327958, 967.31221906352675, 968.37505448483171, 972.02099140945529, 972.10565382118671, 972.15505803891654, 973.46430287475232, 973.80726649717667, 975.30449591686238, 976.34875706691605, 977.09421307532511, 977.31038786758029, 977.63315041965552, 978.52211572199235, 979.41643969617348, 981.91949698698591, 983.06790728172143, 983.23907277053979, 983.84797129353194, 984.36071370693446, 984.55100538293107, 985.99034465841817, 986.8386293792031, 991.24055849873525, 991.79050037780121, 991.95052425234712, 993.2386861483692, 998.45663483681301, 998.78454360043349, 998.92574520599203, 998.97473438077839, 999.34753340279553, 999.8127287004038, 1000.41290145224]),array([22.824530377608987, 25.673695000533769, 26.659389850212143, 27.884376006878369, 28.268850894601716, 30.370893482100328, 31.543623992208694, 31.799730165881591, 32.162061957822345, 35.06108919196479, 35.328031870809667, 36.020237295989006, 36.370469382688491, 36.412487676180042, 36.923460069803227, 37.006205900390668, 37.793058424939787, 38.272119390751072, 38.404893735345254, 38.529625313977, 39.284822774265621, 41.000675331160039, 42.472397069975798, 42.847591805391289, 43.260195881829439, 43.635043396913126, 43.814157528911764, 47.286575626184558, 50.420249898980174, 51.307322599085708, 57.150391171917292, 57.599493056975895, 57.851982946310784, 62.131521069428409, 62.519515101960792, 63.823152208060939, 65.876753964486269, 66.058740777564779, 66.294421228378553, 66.489677666861823, 67.715931103582676, 68.197142233229073, 68.947743815999416, 70.453509794647488, 71.618873570021051, 73.605724547184565, 74.9698409532364, 75.858794496993568, 76.44234052130318, 78.072049604589935, 78.273848308018856, 78.501663890589285, 78.847063204718708, 81.098001315868103, 81.923481833186528, 82.068405566760404, 82.356054155977745, 83.138008397256684, 83.196196106064448, 84.212233407350993, 87.790248834355239, 88.803636652662263, 89.640339111561886, 91.282247416701296, 92.159976744999398, 93.953209504769717, 96.683079048328281, 97.161613591530795, 97.885971824293435, 98.290952205336907, 98.433755063771585, 99.123399115575907, 99.674592604761486, 99.964116753450028, 100.43375845404192, 100.79694752898072, 101.28304686274895, 101.92492501404968, 102.23398781613622, 102.31603268689513, 102.34527043283114, 102.37939392685063, 103.33491874978661, 106.20437563845616, 106.40824654003107, 106.70669144949862, 110.96635674678691, 111.60149958407699, 112.02634387923001, 112.51995196935843, 113.64587310730241, 113.95329011321542, 116.88235020533608, 117.05363220588994, 118.21745405417784, 120.58616802127358, 121.10261574723164, 121.90782157568583, 121.94798982039569, 123.1131041647063, 123.35575343027072, 123.62632550489968, 124.09597299435615, 124.82871797877252, 126.21805283989322, 126.87821359818182, 128.43394273329011, 131.06370269801144, 131.3563832429426, 132.91960996981933, 134.86308500314092, 135.06701726313781, 135.17950039103681, 136.0843899498507, 136.53045364252657, 137.18317294830007, 141.67685973619456, 141.9338477322153, 144.66240802418312, 145.5925404115504, 146.09855634170725, 148.89736353553982, 151.02916044431765, 151.25531846182318, 152.54751070249463, 153.28847564131627, 154.17894317953235, 154.46090063449842, 155.62093002067269, 156.38985365758063, 156.72609654186607, 157.79611480967196, 158.64066417614276, 158.75183429979936, 161.64699368304946, 162.44716304199736, 162.91455145644809, 163.31475164659287, 166.76661790348254, 167.80011324608751, 169.51429492559464, 169.55916318399906, 170.41632116510351, 171.22165639407223, 171.78959183810036, 172.85901279166785, 173.55030317891743, 174.04725881872452, 177.28136087752642, 177.33446172327524, 181.01663361353928, 181.37799602689196, 181.65177042916341, 182.42471086667518, 185.01266318916379, 185.64583738511695, 187.01103343349371, 190.70408509384487, 191.68728304451059, 195.01438738068475, 195.4092315558419, 195.95126000801579, 196.14799724602736, 198.03823375362052, 198.34173507381271, 198.55797372875753, 198.77581662410114, 200.80383966652812, 200.82666082440164, 201.88413614911155, 201.97679555019133, 202.22858849240816, 202.70005293309109, 202.86322235447346, 204.80272988502247, 205.03718265362374, 205.42749856219038, 205.68552485439699, 206.1599658945789, 207.93585742014304, 211.10294650610103, 211.56001669755554, 213.34325644788441, 214.23527445959726, 215.91882177871724, 216.35130801164658, 220.46124522740195, 220.8726200532561, 221.19116735293389, 223.57172026056926, 225.18364595244617, 226.04794553396653, 226.21155299603001, 226.83206078715239, 227.55982765753453, 227.95048684924345, 229.34406622406962, 229.95754633672684, 230.30697220330569, 231.82107401763227, 231.92763844267606, 232.84494810901194, 233.65410462239655, 233.81361093725627, 234.99936660203673, 235.83062050542961, 235.96212231404022, 237.51616202011081, 237.78044634108659, 237.89534411067103, 240.16621731759312, 241.87845038740966, 242.45720613149459, 243.27472353009273, 244.35124405506551, 244.49652756699439, 245.2809049894305, 245.4179121840273, 247.3098466106409, 248.01545235081406, 248.80912011056793, 249.50258542802575, 250.40832955849484, 250.66629273159711, 250.79930723066724, 251.87739501689319, 253.50689255556995, 254.8330879371955, 255.49238368638822, 256.00160034220079, 256.53417902422234, 256.73419774011683, 257.32428705637642, 258.90487162366094, 261.24480353313282, 261.77511139823298, 262.0198046992723, 262.39470212879161, 263.29949871488679, 263.42702616175819, 263.48577545999069, 264.2401408071587, 265.64848558710798, 265.70712851614604, 267.45561432858057, 268.1282154613973, 271.21908273650166, 273.15144035056358, 278.59446106117133, 278.66302961293479, 278.96844683665478, 279.23181268988418, 279.92410103674996, 280.32607291304134, 281.99319930022375, 282.71316612536913, 283.41526404024899, 284.51055856667466, 286.55112044485224, 286.72257000364237, 286.87232001977088, 287.83506596988843, 288.84740260703501, 288.87058640369145, 289.12097409446028, 289.4132563411323, 291.09763902727894, 295.10884671256906, 297.41858271367477, 298.68704616688814, 298.95257289008413, 300.42391621055248, 300.74649514301581, 302.27249028192318, 303.45387999274902, 305.74455957390984, 306.3557715049368, 307.17781029477811, 309.65756893115889, 310.98614845479943, 311.18377980191798, 311.73372177085031, 312.12210060856859, 313.0169785360539, 313.24968610888743, 313.40250515595523, 314.31174106103447, 315.64547047969529, 316.7187947234475, 316.8260519561311, 319.64623009819627, 320.10868252590274, 321.09073309604304, 322.30936819579779, 322.50412521194653, 322.91899481444932, 323.7779388632552, 325.47836142872512, 326.21008569229485, 330.2835386333611, 330.41508471463595, 331.86233806584647, 333.23789682068758, 333.32137079073834, 333.41655484065774, 333.64577757492242, 334.63361415911794, 336.16584772289366, 336.57481757149969, 336.86665827733077, 338.28854079849134, 338.31059741698562, 338.51826739649749, 340.59650688895289, 341.08643030461388, 342.40845206435546, 345.58130235753435, 345.81638034315608, 347.3256111657505, 349.6770864779246, 351.63701547919135, 352.32076546899651, 353.53118325786153, 353.66351228350385, 356.31242294345998, 356.95565549593897, 357.72558429000787, 359.07712449575138, 359.11914802194792, 361.0231399118847, 365.26317985606653, 366.21446018519561, 367.14211197840865, 367.62106033050213, 367.79565622928351, 368.51914697161993, 370.00792749708143, 370.13081737412404, 370.39558012090492, 370.67209340784927, 371.48579608892351, 372.40694367496309, 373.07232695079193, 373.38688766560688, 373.50528106000894, 375.77447459273833, 378.41816525074597, 378.73540251805844, 379.02513119064321, 381.36991894113675, 381.73956441850964, 382.00250030702074, 382.64099802313967, 382.66793416953897, 383.3631992054282, 383.64045240730462, 385.4552063831029, 387.95162711041746, 390.30292574460111, 391.38603381001474, 391.79083435029321, 392.35139608830997, 393.25581675509318, 393.55570566069139, 394.00462750185153, 394.99750327571678, 395.47921473820873, 397.35077670340047, 398.18012458089095, 399.30179154987314, 399.55451627726109, 399.98809677327392, 402.84841019594285, 403.78020028012571, 404.7066565274269, 405.20380448334072, 406.14635462331182, 406.83196431354799, 407.78180644864693, 412.49061892170994, 414.6204492232917, 417.65356244687678, 418.20239087792265, 418.42410423008761, 420.51102626756159, 421.99870073151612, 422.16915471247671, 422.19437993716156, 422.47008224656844, 423.72901957350768, 424.65674782744617, 424.72942146685995, 425.56457328067955, 427.56645790820608, 427.59813092328545, 429.89657745066381, 430.66470263995075, 431.52524849168816, 431.79120901110605, 432.51367842320343, 433.04463031271268, 434.95519106973097, 435.69433901033295, 436.12884152705203, 436.66424042286815, 439.45078107511961, 443.96867629572046, 444.24403809107127, 444.5770102236491, 447.05921826545318, 449.14136753675228, 449.46069862851635, 451.37016702333585, 451.44435640769171, 451.5762337499433, 451.83961286140976, 452.36457489204685, 452.50050414180708, 454.14897143861288, 455.73484080369531, 456.0804620988186, 459.44569394228841, 460.27468437651476, 460.78256078222336, 461.43589050158465, 462.11318003298464, 462.66535081818392, 462.8160852587784, 463.40630712502082, 464.49772986055882, 465.18677728053393, 466.26534563098988, 466.54841781643779, 468.03893424097635, 468.584212158936, 469.01572829016112, 470.32164723499852, 471.02442032169142, 472.13046942670087, 474.26586102420407, 474.96956634224301, 476.37204638972122, 477.96115965046818, 478.42750847798408, 479.6876028088048, 481.65892539821721, 481.98609836386163, 482.30927448003592, 484.00232782598118, 484.11778646368941, 486.55384897862825, 486.61340672605968, 486.64277910941399, 489.19213312187225, 490.89788759959896, 491.0467671496358, 492.57667425697491, 493.94470871622508, 494.08596929197364, 494.76729445809258, 495.14869034278229, 496.90919705389905, 498.06607354438137, 501.35458399594836, 502.12695808070151, 503.01062740266349, 503.56408056746324, 504.27619821868279, 504.80722077586682, 506.93073477124659, 508.54204935538252, 510.59710703788784, 513.46643543643904, 514.38482054488884, 514.99845262969734, 517.25398715661458, 518.19232333872878, 518.63143080179839, 519.03799182829141, 520.13670198510806, 520.55402623411976, 521.92584147943057, 525.98681547510228, 526.79065823428834, 529.84855878877943, 530.12181383986501, 531.40074345744711, 534.15998068494184, 534.2283096448557, 535.07620597578466, 535.96714135526281, 539.82198608011095, 540.33448406616083, 540.89141100607367, 541.2074714554044, 541.30422376465401, 541.8363098170189, 542.13297375894979, 547.54614900518823, 547.82135289537086, 548.61208802614124, 548.79681776027451, 549.17151436632525, 549.63855125841997, 551.28754052012221, 551.71875418262323, 552.38619562215399, 553.11169083431048, 553.5160205339381, 554.93037682754652, 556.31657814607581, 557.60502117274666, 558.03521741289023, 558.76612677524543, 558.83707386057677, 560.04156358743398, 560.80151293629069, 561.79995444863869, 562.53298274435758, 563.15288523416928, 563.80409989176235, 563.9060473205808, 564.54140510233356, 564.96174391403144, 565.14172405743545, 568.33321386306056, 569.69886215540782, 570.59324778100961, 572.12728748170002, 573.95198000449807, 576.25024620735121, 576.92332881104869, 577.5958921184116, 578.52581712402468, 578.61490338891133, 579.82096538308986, 579.91647125574536, 581.32465010909539, 583.11288621357437, 584.41704458882475, 584.60784953793006, 585.07692690145984, 588.6532061793788, 590.39495684753877, 590.61729901658032, 598.91930875781964, 600.09361694201345, 600.34678995671345, 602.177550992889, 602.19894311617361, 603.24651024029959, 604.55509902115477, 605.75028549520982, 606.12291781875433, 611.18799410836516, 611.52191401660491, 613.13504535188588, 613.77946775224507, 617.51303198745984, 618.29766643157166, 618.98053505838402, 619.26789702164774, 619.35372337675449, 620.37143268133218, 620.43377838577612, 622.853911342071, 623.09060395572374, 623.96954283948787, 626.65309183288673, 630.61599141823274, 630.72653028553179, 631.31582812506792, 631.38557457019431, 632.88950982400945, 633.28431285736133, 633.82422609445268, 635.59925124566882, 637.87694261815227, 638.31147070735301, 639.82949474643488, 642.40139734419495, 645.81249128882439, 646.39434911171554, 646.85441227503145, 648.04925718306458, 648.14280271794235, 649.08346537762247, 649.20413923990247, 649.78465009475883, 649.87659908484125, 650.04174036564075, 651.93690286070159, 653.26165669430713, 654.92044275153273, 656.12976653612964, 656.23410824327641, 656.72746814137429, 657.69327687535872, 658.52020593938062, 659.57669754125698, 659.67664642256284, 661.40261723964204, 661.95179183060827, 662.38993559271069, 663.53544639328243, 665.90959415370924, 666.3786671788173, 666.6805506356792, 667.39006678612134, 668.83740259122453, 669.11041214905424, 670.88073612454889, 672.9076447139513, 673.50339356144639, 674.02214921054679, 676.09006293484799, 676.41925744983075, 677.89273103060088, 679.21033227899807, 680.26290243202857, 682.95255888749853, 683.85255766681803, 685.41994393887569, 686.48291669036189, 686.57877414347752, 686.97021974679683, 687.81455397803938, 691.3814531191847, 696.01761431994839, 696.48407941654091, 697.37995677077083, 702.28411629001516, 702.78195969293245, 703.83463714361187, 704.81701602639168, 705.29756429089969, 706.60686066408982, 708.6561707273828, 710.49442979026981, 710.96791032424051, 711.05130556655558, 713.70032061577763, 714.68477039752929, 717.06920077842756, 717.36889888382757, 717.54367626503233, 718.27229044283035, 719.02960500943948, 719.93146361376125, 721.16962245711136, 721.9793932379132, 722.33769612502022, 722.3853537115034, 723.06724201311124, 723.38479378823638, 723.6127031513364, 723.82153171252435, 725.83051140414739, 726.37279681380039, 728.0831730294401, 728.71660409960191, 728.86864776526056, 729.83838338989369, 732.87892883583254, 734.68625178682601, 736.48628433516376, 742.54028309826583, 742.62462410750265, 744.73399487080167, 747.24274796641259, 747.41810144158171, 747.863358109758, 748.42085983239849, 752.01271841646258, 752.10270694879603, 752.56905751614545, 752.84766910557312, 754.21810932965855, 756.30863781235405, 757.79378579243814, 757.98869898530893, 758.52471594679901, 759.80619745743229, 760.30686596503233, 760.65256770762119, 760.90799755676403, 762.89987472767586, 763.16997422758084, 764.12393708339584, 765.19570917047588, 765.47156123101354, 765.49666060419838, 766.14530286656407, 766.32815594683689, 767.44290764541313, 768.6811358834874, 769.52534016890661, 769.56611144108774, 770.36430571351991, 770.72485727353558, 770.77759789503784, 771.64404369828537, 772.67082980698683, 772.78615183718182, 773.43085159384361, 773.80894844526119, 775.21575634606597, 775.86409261241374, 776.77082562593228, 777.31430822402797, 777.77781534391806, 781.19273621805951, 783.16214380164467, 783.97873659242975, 784.04550805035592, 786.01919075953617, 786.52270553021674, 788.0259844568626, 791.50912462824465, 793.09290539378696, 794.16380421554095, 795.10282090823273, 795.40986608534399, 796.98774981504084, 798.99707229624778, 799.08767208285371, 799.34418672693732, 800.76006573689142, 801.38776525725677, 801.88124941086005, 802.94476375980491, 803.07785645232514, 803.33714730349709, 804.47355221138957, 806.06607512553728, 806.46863997597541, 807.00870425801065, 807.17952503031336, 808.95594844649349, 809.67916516848811, 810.52577642412245, 810.57165684386609, 811.09985290815166, 812.67232656804208, 813.58143860979362, 813.60861668916755, 817.73380461015836, 818.12924593918888, 821.0896389893179, 822.88855539434144, 824.10590255193324, 824.62924203316879, 824.87241612135131, 825.22915150285962, 825.65727363838687, 827.15449661244043, 827.40790613265472, 827.60340855984521, 828.00921049279407, 828.44685471731157, 828.4928964660603, 828.74547134400405, 829.39805445446143, 832.34584683075855, 832.56370108363501, 833.20879191336928, 834.22920008463439, 835.37667254803318, 836.48370839436438, 836.65329191971148, 836.8862569699553, 840.83196491477406, 841.67538263847143, 841.72127845397631, 842.11980163700116, 842.51139003582273, 844.77139738027995, 846.03170789602257, 846.92839634649397, 847.4225271124601, 847.72935904032795, 847.95413468124275, 850.45888526800945, 850.61808716141229, 851.77736560932624, 852.20489463626052, 852.48123975257727, 853.46401425136025, 854.30704221798374, 855.36879610301708, 858.46790961858756, 860.47771986682369, 861.49816296217205, 861.56344293494158, 863.25259000558844, 863.87072933544027, 863.92625232886735, 864.19269791181466, 864.4364705311441, 865.07414488381096, 865.59567608559689, 866.1727324603936, 868.49612914598299, 868.64715125989176, 869.67844110043654, 872.51039586530635, 873.4859923632248, 874.86148621101745, 875.51832206055587, 875.88242863376456, 876.20740343687521, 876.41098791688739, 877.14222162004603, 878.2054983114092, 879.03870903241841, 880.12890532805375, 881.27235446408474, 881.53747210915606, 884.38283634893457, 885.81232359074477, 886.26679060427671, 887.91489206090114, 888.29133674439447, 888.86792657987155, 889.32493503673459, 889.38268198991454, 890.45540721389466, 893.49034921386806, 893.78109016816552, 895.05460977631049, 895.15341216350703, 895.1808507598214, 895.63831027709625, 895.91620400865668, 896.73832855395165, 896.9907118875924, 898.08126660455468, 898.74187274793837, 898.81071242389089, 903.49918089164271, 903.80652173425324, 904.55647757185045, 905.15786379326335, 905.77507862950938, 907.0314727062364, 910.14485173840342, 911.66427837283516, 912.27961014801622, 912.90407894243117, 913.96178358064606, 915.51482982319192, 916.78344195259524, 917.41748637810178, 923.07840548887236, 923.81637518057414, 924.96468261944585, 927.57564044594164, 929.40237879812696, 929.86278811786872, 930.54966452184374, 930.99535034644828, 934.68859970810661, 934.83478539312387, 937.51191342834034, 937.66844458826415, 938.18734384596473, 939.90263799287413, 940.44845710181744, 940.55672946128084, 940.58599860105778, 941.4031513304144, 943.89245586745506, 943.97130811173406, 944.01666299854708, 944.96938904227852, 946.50915563900355, 946.60858038127742, 946.93007149013783, 947.6233466811716, 948.93634477294154, 950.38849771328591, 951.05735543366677, 953.00579776279733, 954.12933463077184, 954.33426014249426, 954.99170699315107, 957.80664367565043, 958.56584241145629, 959.17897589404674, 962.17287444055307, 963.23046392764888, 964.09519744156, 966.21578263252343, 966.9531528196884, 968.34858716917552, 968.40661194212498, 969.78046030870178, 970.57870016968127, 971.46155252833682, 978.01383546521947, 980.22041679300867, 980.72221493721872, 981.79511053138538, 982.07851135447231, 982.17663158772632, 983.21611395638581, 983.73333893271092, 984.9945799453875, 985.30444293279334, 990.41696224996747, 990.7575758118162, 991.06470176862354, 991.19948616175498, 992.13161118537323, 992.79839857738943, 993.02348623241608, 993.81865228474624, 994.69146636392782, 994.7482808721727, 995.15650653570049, 996.53613023296589, 996.81274778624402, 997.17701365054165, 997.28597110928524, 998.65481552394999, 998.95623870497036, 1000.0976615432846]),array([11.956862597591645, 11.994762656419926, 12.49383643646356, 13.654154471254806, 15.807032488534682, 17.556733961794873, 19.194341078416578, 19.32129614370923, 19.504838978361054, 19.747467143261972, 19.814205674895593, 20.034054837464531, 20.719809126233287, 20.882717733533141, 23.117098801590988, 23.146925351030813, 23.823942701574452, 26.134360071917019, 26.321483076141959, 27.973491869786155, 29.251531141721191, 30.90745940842379, 31.014687567054015, 33.041203909394653, 34.89817422858048, 35.766577874482451, 36.631304408878933, 37.169116714973548, 37.877896521025257, 38.006508322996396, 38.859239561368646, 39.129085770366324, 39.165096640764446, 39.355252659913631, 39.397367588183194, 39.478805319138907, 40.642478844058054, 41.531378406026569, 41.622803101110705, 44.609715771077418, 45.776227066508127, 46.411851366484569, 46.927058895932298, 49.472234595723087, 49.787765413514187, 50.028910776879812, 50.218078088308069, 50.733844278462776, 50.831006101498168, 51.077986998465377, 51.560171298869584, 53.110873177202699, 54.393637010239956, 55.000809566432828, 56.617963422335272, 57.266192989037222, 57.908788184990598, 59.52595920445485, 60.782985559328111, 63.086968030664273, 64.332513270339263, 64.977799847686668, 65.397320139462664, 65.898007112658917, 66.438656158425147, 66.672311536109859, 66.884297154188005, 69.270820608760317, 69.391646236947665, 72.298028609535834, 73.971646898035431, 74.487120685738816, 76.447540298641442, 76.717340944470678, 77.385718669392062, 77.740478414080115, 78.932698656355029, 79.323269520178698, 80.647187165127249, 81.986797838515997, 82.044688419097938, 82.216567357759814, 82.903173421524258, 83.651467168686537, 89.14152431716262, 89.812884923374213, 90.798492578302202, 90.923109988427427, 91.705114609683605, 92.142537164605557, 92.526042555333049, 93.755440702132432, 94.184046718036043, 95.546237968827441, 95.634552135492982, 99.297513570077584, 100.74319890070012, 101.10050520269161, 101.13311508079012, 102.86642365436461, 103.40005730017421, 103.4205318356999, 105.81366664667432, 105.93051661533178, 106.4914701643292, 106.72032010512977, 110.14042140796045, 110.39502746902393, 110.53702871366791, 113.38270650185426, 114.04991201529215, 116.02287072640152, 118.93725629874049, 119.40347394298718, 120.76692510463138, 123.54887731754816, 123.58301802585747, 123.72763480760268, 124.95170475986114, 125.26622720647848, 125.64618660526918, 128.00097370903842, 128.03980082423951, 128.32446095080178, 129.01050319500462, 130.31357811527786, 130.55203939922237, 130.85619676597292, 131.76443383149532, 132.71489718426417, 138.65307250875648, 143.18472803563412, 143.3092735853034, 144.45107707719578, 145.35025372216515, 145.52900913801881, 146.06728348992783, 147.64714557220663, 148.45436263065031, 148.48887447984458, 149.00575832106964, 150.26720282117444, 150.31854186446554, 151.44599660473335, 153.70938852076125, 153.87099358617311, 153.89867742040173, 154.45030587185408, 155.63100115613494, 157.76892751337354, 159.06317758897157, 159.87140076404893, 160.50354272396913, 160.54389431855648, 160.6122026672715, 160.94956580412776, 161.48071539932536, 161.91160384943669, 162.02604966495952, 163.49687895858003, 164.36626679951243, 168.19680098605838, 168.23098932935076, 168.51609170368889, 168.56287747300652, 169.07001123606892, 169.13280910549051, 170.27725609541227, 172.19625777550146, 172.44855778164157, 172.89363741851588, 173.18077750306276, 174.87265615968326, 175.04187323324379, 175.8525037346889, 176.14780126604106, 179.21265584332673, 180.82693927013997, 180.9810459743822, 183.40521950106938, 184.03283781430741, 184.59780928582921, 185.28609296372179, 185.52944291789601, 185.80911944203632, 187.4447704660065, 187.68786004630641, 188.23881825162346, 188.32224218726373, 190.01107895294689, 190.93265363188061, 196.1210888989761, 197.07126815764815, 198.60574792820145, 198.72402068457299, 200.11336488899695, 203.06630354763814, 203.09439660496835, 203.9856519981218, 204.41792231357732, 205.10256681175522, 205.64696596204615, 207.34314114071049, 209.95292957818461, 211.62858754508017, 211.94101499570763, 212.45993364346722, 212.76171515623463, 212.93194385865689, 213.08682358933126, 215.04988988387083, 217.9934584999144, 218.54091953173986, 220.25289389304638, 221.50462898565581, 222.33253868404196, 222.51321049175064, 222.56985231842776, 225.20923707177013, 225.7043901724513, 225.89188360723102, 227.07303255731327, 230.36762253689261, 230.931786637719, 233.8428858263822, 234.7111173582127, 235.81371839243829, 236.37635895508322, 237.32778103072363, 237.37574396806596, 238.37651252635686, 238.52521778311041, 240.208939593596, 240.40502172015525, 240.90542948940146, 241.43020775270503, 242.49933158982634, 243.18553768220889, 244.53832935059026, 246.01221501273642, 247.61589117919411, 248.0117116955179, 249.23555616393261, 249.86427823901639, 250.98702012024097, 251.76442824444516, 252.66802995941353, 253.5033340521133, 254.57852345353024, 254.80554691942768, 255.9240027951117, 259.4863301578655, 259.53111416234873, 260.25063457707506, 261.34788379016237, 261.75618885513126, 262.20756616199645, 263.59431811028128, 264.0620608166854, 264.55438459905196, 265.23631008083288, 265.9660733009037, 266.028102999353, 267.33965309905921, 267.77035228209979, 267.96393098040005, 268.31675806562498, 270.07345599776346, 270.38459319647569, 275.18363280539916, 275.26162303752722, 276.08472245304915, 276.75349034109672, 278.39579186337824, 279.70404337700955, 279.87386551999055, 280.13692503922601, 280.76457072438973, 281.39168477712383, 284.09025614101421, 284.24994226505987, 286.8024405348105, 288.72440666222406, 291.87912443107933, 292.38549986675514, 294.5068921530027, 294.65848021801355, 294.75854405530652, 294.92000763547207, 295.08675230345392, 295.40934393448237, 296.53490518615297, 296.99267292642753, 298.20358399248875, 298.79484620674833, 301.14924573196203, 301.21466985148601, 301.29791861135544, 301.51048214302222, 302.48210118804309, 303.64510794729694, 303.8677278135782, 307.54230977122563, 308.38098326251202, 308.79170896159133, 310.6856366029981, 310.90892005263362, 311.90341566195207, 312.29138079978264, 312.76239005653036, 313.60190730378048, 313.83288521390187, 314.05410248219607, 315.51290812142918, 315.85274034442693, 317.18745654869883, 319.06995329368698, 319.58772149690958, 319.93571614326214, 320.27308018651263, 320.44903876202761, 321.39036278545962, 322.35823195952395, 322.38772066469733, 322.56159051726502, 324.79938009215567, 324.98950090414343, 325.15229863653565, 325.35766996229654, 325.66851090232029, 326.13473062899146, 326.61832747734854, 328.54537079588425, 329.5147055651463, 329.56893477999171, 331.72067837155294, 332.00852731738723, 332.67908167094254, 335.40507059630465, 338.15534797944582, 338.35933484335521, 338.56170134952202, 340.12695052707596, 340.65580438790141, 341.61889959242694, 342.4356525879877, 342.64209947258814, 345.78525032765515, 346.22176782441966, 347.684712644483, 349.24584972571876, 349.43818478855951, 351.40068536852561, 353.13896089730576, 354.04055008146969, 354.87609133739363, 354.90696077218541, 355.0925537043571, 355.20621622807744, 355.51130049354742, 355.75657005560504, 356.92052186189346, 357.88007518214408, 358.01767184024476, 358.42054610167236, 359.18523183233089, 361.52885415043272, 363.03268972738658, 363.12701865342666, 364.07524006620588, 366.39272491867035, 367.17200450156656, 368.40655040065081, 369.467372543642, 369.9233706196456, 371.66221243622272, 372.09611980143103, 372.58092528963556, 372.66402259796899, 373.14208305764322, 375.42766672689976, 376.1474062494035, 377.79646664799139, 378.35058092463754, 379.1894185367035, 380.33189257884021, 380.56163594062986, 381.03567810931366, 381.42641891601187, 382.80791837734358, 382.891505325477, 383.13802350268469, 383.62637638090513, 384.61695741462961, 384.71579585887145, 385.10934658945973, 386.18212921490533, 386.4480770233784, 386.94354215816639, 387.78229831866338, 388.07220705176451, 389.59295954142772, 390.01367622148751, 391.53472381421619, 392.0544734457136, 392.13786314093784, 394.05281913394219, 395.50288100239322, 395.8924125031773, 398.21440713201139, 398.59154768465589, 399.42727693554787, 401.17313634913643, 401.67219142388967, 402.34992824343414, 402.67766412286716, 403.69324534512191, 407.61159010462205, 410.46266996242076, 410.50425340288456, 410.55262638918856, 411.13821844624346, 411.63692448352469, 411.88103089417342, 414.18768134943832, 414.2393033831616, 415.01578222404186, 417.58752651399368, 417.76137641420439, 418.14216468292693, 420.42917579042216, 420.69367669798385, 422.51943629997561, 423.07737347322944, 424.03474160002355, 424.20937302598185, 425.34670027839013, 426.39785171824627, 428.44428975905083, 430.03579403009928, 431.26717567644152, 431.75557855640494, 432.31486176966939, 433.37414146142567, 433.74317544023933, 435.94652676586145, 436.45750806428418, 437.78729866597706, 437.83458511486822, 438.08309172807549, 438.22927775678096, 443.14243686329343, 443.20578435753021, 444.08327624044193, 444.35693563011307, 447.47874641216265, 447.54163325953306, 448.10062978023274, 450.74546173748365, 452.11604546459182, 452.16669992727793, 452.3834463881546, 454.59990120682545, 457.6448523687983, 457.71073151945336, 458.21022354260663, 460.47895982597646, 462.48575697361213, 462.76028835443509, 463.31195200305899, 465.5930086807889, 469.96552364454112, 471.3945316990513, 471.53889691577757, 474.99789697442873, 475.4559677768259, 477.37084093076641, 477.8871117595728, 479.01849244332334, 481.1075005360367, 481.53647204001777, 482.30962064022458, 483.66947691214966, 485.44175948302041, 487.35338149021334, 488.49283772632577, 488.52652417799254, 488.98473091504053, 490.39531903288633, 491.31467980679554, 492.45767364519122, 494.57607749496947, 495.64456366973309, 497.27830988382834, 498.63885483091263, 503.84816602170633, 504.18288668878364, 504.87634320743575, 505.48660625755298, 506.08536419844944, 506.80867614348944, 507.84340848596452, 508.33258567911497, 509.09010657375416, 510.54539414106142, 511.08676249132117, 512.42022864868386, 513.00856490925241, 513.41491265148147, 515.66919994050329, 515.847168021328, 516.04129784527584, 516.39451090638886, 516.8939980927255, 519.83402807465484, 520.80269594184426, 522.52354249534108, 522.93723726508495, 524.07097656935514, 525.1996672336353, 525.28132131190796, 526.9162860621235, 528.27440388853915, 529.5420516282752, 530.50964481243363, 532.09261382815066, 533.8905834331797, 534.89465344528162, 536.21144742604315, 538.60991076346181, 538.67399597027133, 540.82268332886315, 541.82356179892713, 541.89593467504358, 541.9424935660702, 542.36207548869379, 542.79059985428466, 543.06632327083332, 543.09328630264827, 543.56392501803464, 545.03909919595299, 545.73840592285649, 546.05916160028653, 547.42890135854498, 548.02336343533932, 548.40479237133002, 548.43899791073272, 548.51227204106647, 549.58439288908039, 550.41776038435842, 551.14524790628309, 552.10667309149426, 552.38641658347115, 552.98922521176019, 553.39934799781815, 554.00677869737115, 554.22860380382872, 554.61318370284198, 555.42729274239002, 555.72537559772104, 557.06743037083845, 557.14947388418807, 557.30919738137038, 558.85492438806796, 561.11504686435921, 564.47108297615785, 564.64517145051252, 565.6834387210655, 565.8003243897333, 567.35399746132589, 567.42963485127132, 569.75223512023808, 573.78539766239317, 573.99271479468155, 574.02201454215492, 574.25342144129991, 574.6476623539437, 576.81727861469494, 578.32229712467324, 581.63117840510347, 581.66254319303243, 582.18349171749253, 582.46175375422615, 585.74280262154718, 587.02384100844131, 587.28424738146327, 587.50859301888545, 591.03017809029973, 591.55655355360898, 591.79695690402082, 593.13413810733061, 593.84264534771523, 593.99278912787565, 594.24790704272039, 595.91032070138988, 596.05545642829964, 596.39504430414536, 597.11713736267495, 598.70446048263534, 599.20903844930569, 600.06529942923567, 601.82558441519848, 601.93638586500992, 602.5434852809102, 603.83158623092299, 604.62463398298564, 604.80441704961584, 605.30955116566133, 607.21944319968759, 607.40910128470455, 610.32294252314682, 610.45585786844788, 610.66129100276146, 610.75022553301403, 610.98147325290097, 612.05271007425449, 613.54747269385985, 618.06428406474083, 618.13623986236405, 618.26545221459673, 618.66058059292902, 618.76625839671669, 619.59206189525548, 621.18892954994863, 621.65800691176878, 621.70664736568142, 623.28007606562983, 623.32646671807117, 623.57498953282573, 623.76691964170163, 624.23272847936198, 624.46958162561702, 624.90915411101719, 624.93503024195354, 627.56660896424239, 628.8657071943951, 629.12899890605331, 629.99766735047785, 630.45108149861483, 632.56899728823748, 634.0400710369322, 635.15638127036493, 635.82067560531584, 637.8620765362806, 638.30595977753876, 639.45043334983734, 640.43373624850972, 642.15246426262536, 646.75791082867966, 647.14786221787938, 649.29194750313968, 651.18847968663658, 651.68668679910593, 652.05077048606847, 652.83111417036366, 654.14962702841433, 656.2523362536931, 656.44613445598384, 656.90375905380699, 657.10811889168519, 657.2728233401939, 657.71330337044753, 658.51461928916137, 659.37527872119699, 660.02715454411145, 661.25609121856417, 661.80810711886249, 662.42480765220319, 667.83453590578154, 670.07144063293208, 670.36727847031284, 672.65081146479872, 673.59345210082211, 674.14656416340654, 675.36763878316754, 675.52342642039775, 675.57261183464607, 676.81021782695848, 676.98176324004748, 677.44605866587585, 677.6541983889166, 678.37611793982546, 678.82016776322212, 680.45564823099983, 680.77931203398589, 681.94085162765225, 682.27374578290596, 683.20479304146409, 683.8690785724483, 685.23868019137865, 685.51842987460714, 685.75948243592848, 686.99493870523736, 687.04974484909371, 688.1770988618747, 688.83064679363986, 689.5984431544116, 691.74073793487366, 692.03390855695443, 692.3716685457124, 692.96338835055622, 693.06348663050835, 693.12441423779501, 693.90823566074721, 695.45897163774623, 696.05582591644441, 698.38784727197276, 699.0923247229324, 700.73744590009926, 700.88700906609006, 701.06557809298317, 701.3690211375374, 702.44232989689544, 702.48248341454223, 702.84096926660834, 705.90431006675476, 706.0170214214013, 707.08318925746198, 707.37855875297691, 707.55952379161999, 708.22690574915293, 710.2064232542117, 710.662941732322, 710.76405976299031, 713.34573215038904, 713.63680210942664, 714.13428343719499, 714.5523773585611, 715.21015094493657, 715.90756661603245, 716.28777332788832, 718.29195351741839, 718.35976615630818, 719.44064199260401, 719.50308432670647, 720.74792002016954, 721.9301892443923, 724.01666592391734, 724.50285303257942, 725.833905360362, 727.71572997366457, 729.42185098816446, 730.69264756321468, 731.35957491330942, 731.50044889014589, 731.58151677419482, 731.60703826007864, 733.67125454679353, 734.62256785648947, 736.92955532468784, 737.53278629706631, 739.65374828704967, 739.7158134237302, 740.06114137789928, 740.70292551450973, 743.69956230391085, 744.57696181624897, 745.31717817607216, 745.76893003399789, 746.10645217631725, 746.40754644829747, 746.8189166183771, 750.14904541203475, 751.88114442739766, 752.15022018375635, 753.20582788860168, 753.77455070969393, 754.0536873041824, 754.35450054582088, 755.45290707015761, 755.75745657176378, 755.79609999951913, 758.85615724320428, 760.19000351186764, 760.52447393927037, 760.64825747803332, 760.93436229811152, 761.55184864639818, 762.23227547022316, 763.27826513679588, 763.46536205928726, 763.90347972052405, 764.32351080917635, 765.84754581373818, 766.61235287839099, 767.03470684387628, 769.31507308385324, 769.3903441169939, 769.64257409251456, 770.05061443993077, 771.27193399400403, 773.97146048788079, 775.95146094643917, 777.00335208736658, 777.15018764713659, 778.58165470936797, 779.83957109839116, 780.49070192508964, 780.52417329182015, 780.75015534720558, 780.77076172934983, 780.97482609257281, 784.63976265730241, 785.99944355889727, 788.43945880286481, 788.5998341354674, 789.72016126137953, 790.20979253841392, 790.32600275740265, 792.84180099486514, 792.96830754831205, 793.51338513310361, 794.07706134496698, 794.49775680402581, 795.02072761358181, 795.57232372030069, 795.72081443605396, 797.07733768314517, 797.14677044054497, 798.47120764307635, 799.69996049775114, 800.85883704450032, 805.95983303491448, 806.32902250465338, 806.69897180235751, 807.95112870795276, 808.16334416666405, 809.05805459845794, 809.69138676024056, 810.71905718465268, 811.43604442882111, 811.53057142643127, 813.28710613170142, 815.1243223687203, 815.50906879751744, 820.68935639333358, 822.42625335304581, 822.7912609092208, 823.78796679283994, 825.13947620341094, 826.38212350888205, 826.83926146396311, 828.17797435105945, 828.23792443696914, 830.36254655185485, 830.842951122263, 833.75049242142438, 835.91921593283064, 835.9596498181694, 836.06867058292403, 836.48338926789381, 836.56631970635453, 837.02242427252941, 837.64564303966426, 839.42512485446787, 843.27194306589934, 843.85330688756494, 848.26361759647011, 848.51451009380457, 850.27044512692373, 853.26579866860948, 853.30921580241102, 853.50192654851605, 853.68346135900072, 855.02707024081838, 858.05912130597221, 859.18820827101661, 859.67545538124671, 860.66117300271151, 861.16499178400204, 864.60799529940277, 865.80857747952689, 866.06770485985862, 867.21517149377996, 867.31294996652127, 868.29030772899864, 868.59493459776866, 870.21310233210966, 871.0642208343138, 871.2000926007513, 873.20984689296222, 874.56578504063941, 875.38905742224949, 877.44291516622457, 877.70589314612425, 878.62209481169748, 879.26362743242771, 879.82566345263865, 880.87418059548281, 882.20549582445813, 882.24159635579565, 883.13992556112021, 884.25327860445725, 884.30239666140824, 885.59196647798353, 885.70262052217026, 886.13614972737594, 886.37238334023323, 889.8418273976024, 890.28017911273184, 891.80627649329847, 891.97506627738892, 893.73200197030974, 895.16895646426872, 895.58146158065983, 896.35863311160517, 896.49506228883615, 896.85240957577275, 897.92195696217971, 898.1607384327433, 898.44002027524698, 898.48483892401543, 899.13374948233945, 901.68916531186301, 902.0958097977109, 902.59784634954099, 904.77285995111663, 908.33151986292773, 908.99569298448671, 910.37984710870751, 911.16121127495728, 911.96611790860493, 912.10327949194971, 913.10606597770902, 913.36650891875979, 914.16807719412463, 916.61996506420985, 916.68060698691704, 918.16343679198326, 919.27917552319127, 921.40710072008858, 921.91255027537477, 923.6977104670575, 923.78032494546528, 924.34535166877231, 925.45194630689707, 926.35719163820056, 927.18729214444511, 927.49272560284987, 929.29227846383594, 930.00031242802049, 930.25503949041024, 930.95158624619592, 931.36900213618196, 931.56621293900275, 932.25264207411794, 933.04981202266401, 934.81424577672237, 934.95321330763898, 937.52552780578299, 937.62275483229359, 939.45909829186826, 946.23814476128257, 947.72932321308917, 948.6757472004582, 948.89440001985417, 950.94275544171626, 951.58856902116338, 953.50828980014285, 954.02630206678873, 954.20093691130501, 956.56234825818206, 957.27036392833281, 957.32981902960478, 957.7946617004136, 958.66593843128237, 958.7219548759017, 959.44062659896065, 959.54682157791069, 961.91884132651012, 964.18112706453906, 966.1341057548342, 966.87735725738082, 967.55646320210519, 967.80763166801933, 968.58109627176407, 969.25262689312751, 969.51951775353587, 971.69928196491708, 971.84810487177185, 972.25916492657961, 972.73336507589818, 974.71261246194842, 978.92244911060027, 979.88068887808447, 980.22460960297474, 982.03469067791048, 982.30828309374658, 983.15115025796638, 984.36764100092773, 985.71360840771126, 986.89967626955843, 990.69694377231201, 990.92077614833522, 993.01962122468876, 993.23208944701901, 994.77984381446731, 995.21702296577416, 995.43255033966898, 995.49846215307969, 996.76984208037095, 996.9582230144614, 997.63842029733178, 997.91467474251567, 1000.057950654961]),array([93.491034821905743, 93.875409899690496, 94.492764818948913, 94.999048646891922, 96.315885131483569, 100.81605652861238, 101.24175598347401, 102.95851093956188, 103.92004790303294, 104.99115426503471, 105.61350499276506, 106.17202163250708, 109.84050500172485, 110.0150540370653, 111.30013414860022, 113.33893469900485, 116.16229712451053, 117.21358912550809, 118.55661289185267, 119.09934716285059, 119.17414973699178, 119.92362084980684, 120.2803018235771, 120.70565433642665, 121.64303452227102, 122.65904502225264, 126.31473034466069, 126.40619922879333, 127.02254695194617, 127.13483126845945, 127.5976999282062, 127.67336191654098, 128.80198184235721, 130.3229707158151, 131.76407858832593, 134.26867391044678, 135.41477011625034, 135.7964525671791, 135.87079750919983, 136.20959636756717, 136.8421136746606, 137.04252122313508, 140.58114978353674, 140.89536100348371, 140.92329414827873, 143.16301376630864, 144.06120536001259, 144.54561370514523, 144.7718462688303, 144.98264255691629, 148.72935453672164, 149.12414900511297, 149.64409996639861, 150.95528342376457, 151.24133972517203, 153.1954737945766, 153.32298334333717, 153.9463974036349, 153.97220236854244, 155.41662254825746, 155.53930574233428, 158.02474868125768, 158.32674898536118, 158.58093408335105, 158.83519237365604, 159.91097802203197, 160.66103604957257, 161.78277827060938, 162.55288549240527, 162.85664088565994, 164.22491989007031, 164.66111061140256, 165.42468951002297, 165.89090727043759, 168.06887548178943, 169.08805182554514, 169.92647693940404, 170.07924610193339, 170.33344382712551, 170.6229046928315, 171.20316044561289, 171.48018533816773, 171.59637384161044, 171.70072492343832, 171.90332735070675, 172.25799917588643, 173.0771531140002, 176.4621911994094, 177.50839613144026, 177.59676963767453, 178.46650437719896, 180.30849716939798, 181.60017349257021, 181.6583463847756, 182.48938343039265, 183.54436975196219, 183.64290175394862, 184.52324194067768, 184.77294458915151, 185.22251475485197, 187.28142767688078, 187.46839199042512, 188.96203254361399, 190.10328925500633, 190.30400335404144, 190.69943757107185, 191.64959611938465, 194.05934944196332, 194.59373497477097, 195.06666751952733, 196.92654042263175, 197.32017537868563, 197.77800384864199, 202.89344132046887, 204.32355328871068, 204.51360253554026, 205.15915912628958, 205.51984858093232, 206.79360660495166, 207.25078500863319, 207.98139365712018, 208.90409005319555, 210.0059557642368, 210.67849079572835, 212.80898988803818, 212.9943657989744, 213.23892797746737, 214.79511369426353, 215.08778412409819, 216.29057663248031, 218.40111777584076, 219.38492978180474, 219.46050122265518, 219.98636535446806, 220.9672695219233, 221.3153999761733, 222.2535320869822, 222.79484792374248, 222.82828593675407, 223.45808462365841, 223.51283871155326, 223.83743506027949, 224.94527228300046, 225.10010613633557, 226.08621001580067, 226.13229717842094, 226.42983065970188, 226.88372794131749, 228.54457915988723, 228.89958642166127, 232.6228677999531, 233.06169505250125, 234.05205217476646, 234.188634387414, 234.21049160992365, 235.057675832374, 235.38375676614055, 235.57573601717152, 235.84311925674129, 238.08853652168148, 240.13365815579004, 240.55760543144402, 240.62750637401209, 244.08494364240443, 244.93891107060296, 244.98210934300755, 245.6378898479278, 246.42164919081401, 248.6803212709668, 248.99550094687524, 249.66268993859711, 250.84880588784722, 251.82524944523618, 252.75204995673064, 252.91262726476481, 253.19430547302093, 255.16260523874107, 255.26028043396693, 257.37638509519815, 259.69226103802919, 260.52441830776149, 261.273881920387, 261.3898529090194, 261.92375826333966, 264.03915015092031, 266.90307731404158, 268.3434789872872, 271.41135433744734, 271.89295785149028, 273.63153770625433, 273.76136796601696, 274.01664355103884, 274.46147993081934, 274.72066585144825, 275.06257558284227, 275.15443468763607, 275.33961435678378, 276.60071115212696, 277.38068901427596, 278.63246781008922, 279.10156237183122, 282.15038134887186, 282.26208221325282, 282.44129918257084, 282.95110076556028, 283.45845008425766, 284.85154620111945, 284.90426236510007, 286.14105010178088, 286.61384493202564, 287.12359713878425, 287.38892972777728, 287.5061832876691, 288.49957959377906, 290.87784886582244, 291.34364464967064, 292.24039576958535, 293.08706778545678, 293.2286880332918, 293.4095944837818, 294.44494136831634, 295.70034172854133, 297.68994041737227, 299.43540506339872, 299.47295117774013, 299.80826658424502, 301.07887088312037, 301.53903030948209, 302.47044454643907, 302.86713608709886, 303.84123927760362, 303.92989582896291, 305.48910543687788, 306.12135106492428, 306.20903784703808, 307.11908346371303, 307.95290826580964, 309.7948160491955, 310.13758653795293, 310.29511029422787, 312.65467595578326, 314.32000284075656, 314.57953521465441, 315.66962440578965, 315.83509399484188, 316.4760120974604, 318.16480116508666, 319.05853250378715, 319.77056339179472, 320.74459794360098, 321.04891928675431, 322.0040587876548, 323.23088545258287, 323.8974936667783, 324.15925985275783, 324.56756383786103, 326.07063682054644, 326.61617985957133, 327.05108344815426, 327.40070362052887, 329.50252360595982, 329.90545713285331, 330.1178523529432, 330.55875461710275, 334.33517577451403, 334.50098063989424, 335.38935493026202, 336.14894996284113, 336.4717501047719, 337.01926444047228, 337.51960708821474, 338.25547996070009, 339.26769649982788, 340.03949667319739, 344.54775275825551, 344.5959904057284, 347.27126935472728, 347.51649056655526, 350.5551472953033, 350.58265361202598, 351.13422208536531, 352.14974231247163, 352.2037535728814, 352.26478754653272, 353.81096080269504, 354.98073915982116, 356.14946943695099, 358.11312936060187, 359.37435982604137, 360.8643972809964, 360.88965599257443, 360.98533536047199, 361.74537248234338, 362.10197172811149, 364.20559720716761, 365.11752724955721, 368.81160835111666, 371.01461157243921, 374.83612734402277, 377.57513945718625, 377.66687041734548, 379.21829901480419, 380.18653036547653, 380.21044634653686, 380.40115295817481, 380.45507631526618, 380.98382874789434, 381.17349581573478, 382.71773310559746, 384.98828778761816, 385.68388899140336, 386.29314537273098, 388.44336065455605, 388.60826591717063, 389.19044801972018, 391.45307651251687, 394.22482319071355, 397.95051053143737, 399.36651498455558, 399.76933626227731, 400.33174656000563, 401.08297783739135, 402.66724769169753, 403.61114718669006, 405.34890608463826, 405.58710058194265, 407.57806751620183, 408.69115520909116, 409.77916618430066, 410.4924750358486, 410.66875588274019, 411.0794891079691, 413.39633111292926, 414.43970606523055, 414.8361163276287, 415.29230729834671, 415.31417564390631, 415.59378099848169, 417.8405066828596, 419.58310140549111, 420.09557217002026, 421.06936860916198, 421.43261436990468, 421.70085784505994, 421.95178287025618, 422.57126095284502, 422.65500195580461, 425.0454181204081, 425.61323802785114, 426.64585083621307, 427.47930047050892, 427.89801521535355, 429.18215093500265, 429.86705210772391, 430.58850734614703, 431.42232156048328, 432.28611641439556, 434.3178388548663, 434.54739544776277, 434.59404167600076, 434.76380706505086, 435.00808649655721, 437.75878821520121, 438.63627543802431, 439.04685627813518, 439.11211367240065, 439.17791336903804, 441.72664917400226, 444.44445473661648, 445.31456279249119, 448.44471516093552, 448.5498924503467, 449.53225272015794, 451.04148767104653, 452.08723482981293, 452.23535390919403, 453.98794998003456, 456.07116830332512, 457.19520125234453, 459.04150182130411, 459.33662959721659, 459.80756272705923, 460.8969459308293, 462.9896095155965, 463.08071636763026, 463.46719563442252, 465.42239338176887, 470.61873634970084, 471.22615702323242, 472.50971226488662, 474.49552026050333, 476.13541488062117, 477.61762340111221, 478.45451236690775, 478.64881601871281, 478.6951918337881, 481.36710773473146, 482.04506881804355, 482.30161823186654, 482.6563490649454, 483.39532082180108, 483.79345203484007, 485.11154242314672, 485.49793535167726, 485.7502176692563, 486.04295307645265, 486.5494944349602, 487.3120999380414, 487.42161655330182, 489.23830220689757, 489.96279152930873, 492.29965031626995, 492.66440397222226, 492.75377680277393, 494.464120468403, 494.64186863686388, 496.0540459912034, 496.60605659028857, 496.74018725888891, 496.94288028017098, 498.57197472978481, 498.75583527438999, 500.17790748197172, 502.32433182279527, 502.40526690655855, 502.58009297376304, 502.79566114627119, 503.34940487598641, 503.98627140347622, 504.78353805408608, 505.08315821358099, 505.54010709464421, 505.63571153348084, 505.92816732540473, 508.40664779118885, 510.68855786582151, 510.80586942401885, 511.53637907329642, 511.65113539625202, 512.974882532371, 514.86345241389176, 515.57371128167051, 515.60522850109089, 517.96217288403909, 518.87692064120711, 519.55976205433126, 520.70057427504798, 528.41952036516057, 531.05630674586223, 531.34437773732952, 532.12709188637257, 536.16517013714099, 537.1398100953279, 537.61680719215667, 539.1775803192611, 539.8650474877843, 539.95011393038533, 540.43297830820677, 540.78500975164468, 542.31070896487086, 542.84617335002599, 543.2939057447395, 545.90732293950396, 550.22012977025918, 550.50023707228831, 551.69274134293687, 552.11301637311885, 552.30575623799291, 552.39677030208827, 552.82164539347775, 552.98974848077648, 553.75772581408205, 554.0777250853215, 554.32369932066831, 556.16232529859815, 557.36476614274932, 557.89376117953782, 558.37315494429401, 558.65327903815125, 560.75234891113973, 560.85786168605307, 563.07304884753773, 563.61700563173429, 563.79532174401993, 564.10143758111383, 564.83324684010347, 568.63195712134802, 569.68412264350752, 569.82442079789189, 571.2092677391023, 574.11461750035903, 574.61943689221141, 574.81034243593058, 574.84777060678755, 575.15522604679245, 575.4426855968253, 576.93175282791128, 578.61654337718369, 580.01747561865727, 580.61438176490708, 581.09700101424721, 581.37076687082208, 581.48842426976, 581.85991066315819, 581.96038672125212, 582.33207406635267, 583.61547016837528, 583.80521671602264, 584.70438390371248, 584.85684799493049, 586.16099485155246, 587.49749064634625, 587.89350646507398, 588.08956339984275, 593.66507536752761, 595.37039428585308, 596.27203788562383, 596.88188398146451, 598.97898982360812, 599.08775679279745, 599.56373250975332, 600.6401424456551, 603.21988776742285, 604.10428711662507, 606.23890607971248, 607.38840089517475, 610.26200806512895, 610.79044319754109, 611.11397657552902, 611.92716231133465, 611.97278009285765, 612.48697344266884, 614.12896459883564, 615.91595378629506, 617.20959585839387, 617.49374685377131, 617.54910441338711, 617.60256087706261, 618.0233967557192, 618.73698823156224, 619.8172380582522, 619.8782757566712, 620.56572366430294, 621.01477721029096, 621.72582324650807, 622.5903107914512, 622.94070254394478, 624.04911476379004, 624.26912281350758, 627.17810209178754, 628.6482020813321, 629.71376124238373, 630.14369410981328, 632.55447256772641, 633.52427751628727, 635.11210701608991, 635.94090739937508, 637.18042857950206, 638.16617711333981, 639.11195995929302, 639.40610276263635, 639.57670031254975, 639.66515738408305, 640.58771987827049, 640.76884281348418, 640.84413092635884, 641.86953345569009, 644.51919850691945, 648.88910119265756, 652.41113887933307, 652.8277662080003, 652.90253928803054, 655.89862212555147, 656.42814123401229, 657.55705275958974, 659.37955328029977, 662.5395361986715, 662.99487419766831, 663.33642843698249, 663.8980853547688, 664.09620583981609, 664.25325533553701, 665.50629547224219, 666.32081415020855, 667.28247925087476, 667.80599383883816, 668.1754285672431, 668.72494412968183, 669.97561450213993, 670.52641549471878, 670.61710916470417, 672.60405773022819, 672.73838545820729, 672.84427147108602, 673.69530409035724, 674.11976775963876, 675.27193369813801, 675.51885704803465, 675.56437852954218, 675.718022581063, 676.86069679254774, 679.50744611641028, 679.81984809601192, 680.2507879860409, 681.08465811792632, 681.84049042199945, 682.19026084948337, 682.31056436900849, 684.12849587505582, 684.7301910962741, 684.79839163678946, 685.57034118526121, 687.10045348458209, 688.00518721683432, 688.13626465586822, 690.27842151308312, 690.98823139561387, 691.74851579150982, 693.99552394961665, 697.77681890829751, 699.27746568189639, 700.50232209476496, 701.12271239913377, 701.44573259347851, 703.13774074209482, 704.32345507886794, 705.9092143669684, 710.82179617642294, 714.81841652493688, 715.67847778855912, 716.49651860904862, 716.83445689361281, 718.6802796216291, 719.09181063920209, 720.39397617623058, 720.96950792057555, 721.11042718708325, 721.57035129385395, 724.09767888450142, 724.22045118093229, 725.06130083102266, 725.73910168405985, 729.25274817960951, 735.21431106006696, 736.6482731920612, 736.83575665463127, 738.0654519311779, 738.16086147011595, 738.22611314598316, 738.99051557227847, 740.18681356967579, 740.33965097074713, 743.61506815784696, 744.14877411327529, 744.76933829273878, 744.91916616660933, 746.41276529837967, 747.21471150725677, 747.31277184737678, 748.69261843354036, 749.65058575117735, 751.04037480143211, 752.39114207074488, 753.56793694006228, 753.87417859520622, 754.32981996907688, 754.91555855060517, 755.70816096112037, 756.04700894457937, 756.8258656134758, 756.88347054738927, 757.63153764796584, 758.18528895010684, 758.55478855233173, 759.45211173633777, 760.53176724048558, 761.5503613424878, 762.84264139149991, 762.94823580269156, 765.5148660250735, 766.68518982766409, 769.59041334638164, 772.91330953029615, 773.01262319326145, 773.26134276187508, 773.28211413232543, 773.31129210461199, 773.53124736863197, 773.55236951118786, 773.71814661233191, 774.23635588223874, 775.92995504767134, 776.29672620314534, 777.56083201664399, 778.89405798979533, 780.01166248544678, 780.72930768599281, 781.06830423353881, 781.91115766631549, 782.14472480218558, 782.56681543245509, 783.41634697930601, 783.89711478256265, 785.15495286973294, 786.70535910747572, 788.20860930447907, 790.07517394377805, 790.844565373244, 790.97255782107288, 791.22997751738581, 791.53219171049739, 792.77052248547363, 792.95170232133103, 796.3874543130778, 797.95736084114174, 798.08168382291194, 799.35405512000477, 800.56890670012535, 802.09249969760572, 802.59311204095309, 803.57787380685386, 804.53108564819092, 804.76369415784256, 807.73814209378736, 808.23604541815712, 810.44839316408491, 810.52767582163301, 811.84087613641816, 812.17879716014693, 812.7457271063314, 813.67782966134587, 814.13918335783285, 814.18484646939362, 816.11195625628011, 816.72453410803371, 818.24901906488765, 818.89143747277308, 819.1464922104808, 820.23755031136818, 820.69006971970646, 822.36481812123463, 824.58970595830453, 824.73696156907113, 825.14764730143509, 826.23417236250577, 826.65245696520128, 828.3962603320789, 830.22836297171523, 831.10888304890568, 831.16203023268338, 833.49011122754689, 834.48958495391526, 835.19613983115812, 835.84239738696158, 836.06240912639169, 836.12490702610182, 837.30301042663257, 837.36772446028863, 837.77416342900847, 838.34284011403224, 839.60637299121311, 841.67722571296304, 841.88559493363243, 842.10749082140251, 842.98810625057581, 843.60300893869635, 845.69167764609256, 846.21232153108679, 848.07519925219435, 850.32500236569297, 851.84521001693645, 852.57298885709145, 854.79677408280168, 854.82813119352579, 855.28522950047113, 855.636315913717, 855.75659290073315, 855.81756521629927, 856.39393333075839, 858.4011392014346, 858.95845474788393, 859.37192040713205, 860.22827215633731, 861.01023869181483, 862.12000760865612, 862.14977032099375, 862.22729044056143, 862.88354723441512, 864.31954545860935, 864.64195831363918, 864.9213555791772, 865.15063273061071, 867.59387657194657, 868.13785060871953, 869.37997535997602, 870.88127110079211, 871.16714577832363, 871.30187271051534, 872.0837606309218, 872.18294898411511, 872.49827663933911, 873.59145475786192, 876.25606666243937, 876.81592697181952, 877.67055099011225, 879.44880904244201, 880.09168592662547, 880.55004215961208, 883.11807023533163, 884.37883751693721, 886.12150714211077, 886.19256390183398, 887.76466795580473, 887.79693252618301, 888.69993113708847, 891.13706459074967, 892.17022109637037, 893.50469279231629, 895.02521890535854, 896.48136637816776, 897.49446330618412, 897.82323584597282, 899.35087483037989, 900.1921934391695, 902.06810361440012, 902.27902334042653, 902.83970840975041, 903.72111617743599, 909.72318693904936, 911.66697988673388, 912.17899440874589, 914.21092929045471, 917.3255749937889, 917.94654973304728, 918.53725323446645, 918.59731391819446, 919.08694228367506, 926.84269941195396, 926.94554835009603, 929.76830557167489, 930.11942226169333, 930.54705798206749, 931.61347096774932, 933.92225313723316, 935.6580362440634, 935.95601351625555, 937.58776586399733, 940.84235223886151, 941.43660688591149, 941.6729597867245, 942.02352408765933, 942.22477950568475, 942.48177913967993, 943.05475262515063, 943.9151194968191, 946.89884056269921, 947.95081286201662, 949.23127773866145, 953.59041836001268, 954.1629514678018, 954.28433612432093, 954.53278014192995, 955.95912220605339, 956.0235835618123, 959.19566300298618, 959.34530111228594, 959.46779753125327, 959.8795395982188, 960.71824646119933, 964.28660011562727, 964.8244045556296, 964.90635009295613, 965.46479340150063, 966.02878799546943, 967.16240960984976, 967.92913115169745, 969.05520795122845, 970.45085566441162, 971.3783511494139, 972.07928406264239, 974.8814695108498, 975.25538723846444, 976.41371015165362, 976.83565466952359, 977.73468770115198, 978.54931855103314, 980.681002395929, 982.79426002594994, 983.85522402159017, 986.3976374868073, 987.2970603991763, 988.76026658901026, 988.89729241684506, 989.56109308494217, 990.95632362282402, 992.88563654974962, 993.99001146540286, 994.81075178651895, 995.24885567452054, 996.17410147381202, 997.30812999029138, 1000.4088274737056]),array([19.154854890696171, 19.182730794793279, 20.932224962020424, 21.582805215680672, 22.327622486737575, 23.186601896839615, 24.641034524168127, 24.676747419486116, 27.599556064019811, 28.811641427677934, 28.979567809853371, 29.476781344682937, 29.511700296037034, 29.881875229154247, 31.792610706459488, 32.731675435418602, 33.445882717934047, 34.596329405359036, 34.76206309443576, 36.949998285234336, 38.181563597973501, 38.473673043241362, 38.66622082615843, 41.991463609618371, 42.169461053600237, 45.68326102834348, 47.60237331892386, 48.592558409431007, 49.242797795997404, 49.448508358912129, 51.08848263149256, 51.990072379858113, 52.131478515946526, 53.670736248833435, 54.164214992232608, 55.207408986386902, 58.223987954907301, 58.738100805884741, 60.039598944812042, 60.068082035125151, 61.465400875123343, 65.028718757785313, 66.866824676635645, 67.547542008058386, 67.597540101374662, 67.890236339205046, 68.446222582455732, 69.228248468868927, 69.448408774001223, 70.501115920671694, 71.469246750408843, 71.517501564269679, 73.619422035696047, 74.803251875342212, 75.027185887772731, 75.292578018072007, 76.817026950184371, 78.3451008181448, 78.981697818807802, 81.334070974250722, 81.997897079859612, 82.734547335501617, 83.919236236859334, 84.023374434571622, 84.184397463911353, 85.219742267060951, 85.740794682792384, 86.977088977841063, 87.30116482786498, 87.594607786820831, 87.779155602843971, 88.011357766736737, 89.389525571902652, 90.906532952168405, 91.341256166429162, 93.256423866517878, 93.786651076117636, 94.240268493248664, 94.807280795867428, 99.774589572444128, 102.07375600571818, 102.47201211248846, 103.1271740884159, 103.92662226388782, 105.00345084372117, 105.04841904756009, 106.29865037555042, 108.43955975098925, 109.74386858822858, 110.37172537432228, 111.45316932475173, 111.7299634049762, 112.00848008805686, 112.37093281082764, 112.91600858838329, 113.01479689090174, 113.33573213111373, 113.38148900840768, 114.87633469910617, 115.51582272535636, 115.74557567138439, 115.88313647636912, 117.69575967497461, 118.75792068676024, 119.91724760089474, 119.9685505106056, 120.30597697794016, 122.07554984694869, 122.53186787509541, 122.71609266597663, 122.99803019176311, 123.41627521594435, 124.77121835046627, 124.88688311525361, 125.27136158522488, 126.1667784215386, 127.61170102601541, 127.84473631828949, 129.61964979577667, 131.60801500912569, 132.22094906027121, 132.93564457188572, 133.12768159082805, 134.76877825970078, 137.36805380564687, 137.66416959724617, 140.24716639749937, 140.67756466246013, 142.53015538038559, 143.15454583966985, 144.79375733946355, 145.52610444665871, 146.83728952038902, 148.20889529762329, 149.06758855603098, 150.38586374832738, 151.11161750839997, 151.39757381210325, 151.76797355535311, 152.33084044294276, 152.83539148901707, 154.58509313665346, 157.30616679526383, 159.9530953991418, 160.03165996881, 161.79759561793273, 161.95896604682463, 162.03739719852385, 163.04784245578008, 164.99471585508419, 166.55192176183394, 171.43195852704417, 171.61039409194146, 173.62814367194039, 174.37543678282427, 175.87894430136222, 177.33607071436705, 179.25635402796672, 179.58911679643327, 180.98406429129111, 181.30647033402892, 184.89944962813314, 186.01600567033225, 186.27939649099915, 186.35433658289983, 189.96643863537932, 190.21331595152589, 192.32018020282433, 192.56325436337966, 193.01511200617074, 193.64222336801694, 193.73189481555181, 196.38411848388461, 196.40657226507309, 196.75581273688317, 197.90953479638429, 198.09206368755463, 199.21729079608173, 199.52327650822545, 200.77116242761443, 200.79716814889468, 201.66101344180399, 202.28795417232874, 203.36947159942827, 203.839982104998, 204.4829311336018, 204.52989242498833, 205.07096931556651, 205.64246169194868, 206.40717676202405, 206.79488138981185, 206.93334082693229, 207.13461953429615, 208.91513286202314, 209.55816852309701, 210.14706098177939, 210.91630311131527, 211.62298603297981, 212.62867325099026, 213.3583588891259, 214.25109188243883, 216.75138922977692, 217.3460063943167, 218.58564690414951, 218.89481496610233, 220.24962333495878, 221.45983651871023, 221.62748140635711, 223.18418514722268, 224.10001022968095, 227.2216659960207, 228.01473063459173, 228.36385332764493, 233.42873358413482, 233.92033640458061, 237.64531666739055, 237.75608344668746, 238.87204750697205, 238.89235302087454, 239.01238146401269, 243.23185661938092, 244.24164250174229, 244.58366770066584, 244.81990296904701, 245.02914881832629, 246.0599712239345, 246.45292573082762, 247.21183008139684, 247.64123949774807, 249.1134579078053, 251.72686321969215, 254.72569527578923, 254.78361717524632, 255.19541526955368, 257.37597432340021, 259.02892167959106, 259.17197547549307, 259.33342239792506, 259.57849240200659, 259.74802838130148, 261.44123471885575, 261.57041476355221, 261.86551206757838, 262.68742974886879, 263.45739502297801, 263.59102763100014, 264.86818678064077, 266.23669453826375, 271.36360500687709, 272.88516554987837, 273.88320329358243, 275.54522119619156, 275.84080704555163, 275.94383311365112, 276.31521477739921, 276.46967873078205, 277.87030710101237, 277.99126052814933, 279.15490666018843, 279.18324482005931, 281.32024918164188, 281.67051273850558, 282.16384788705517, 284.31572454640013, 284.64283889618235, 285.13870617705032, 285.78508369958359, 287.11359730724405, 287.68147436778827, 287.74018184380014, 288.06286939637687, 288.39002284876847, 289.89609195301495, 291.60016271164545, 293.3691341397153, 293.7294886507903, 294.38017068167255, 295.06955548200358, 295.58406703082545, 295.77335401078489, 296.02436489470745, 296.33890151220777, 297.69733624577628, 298.34434932044513, 298.44654277288549, 300.0460824385903, 300.69086481948119, 300.92935746372365, 302.54236282504087, 303.81766661442026, 304.14232487283425, 305.52078367647078, 306.69857546053242, 308.89315065765203, 310.51657487839958, 312.90682848485579, 313.23652873512401, 314.60016551806939, 315.64067678508951, 316.0886573031043, 316.69680530368731, 317.4346262839091, 319.84234059361074, 320.3362969411599, 321.89211247738496, 322.06165769180376, 325.94315283828314, 326.7302706209743, 327.26018399786102, 328.3192595350194, 329.83750913612346, 330.00622742703371, 331.07084398956181, 331.45370329616037, 331.52365603545246, 332.08248935973842, 332.82174434612335, 332.94453815360902, 333.76735570959704, 334.21245074423979, 334.29598724635059, 334.405461187333, 335.93196372932937, 337.86306840536065, 338.0658676914112, 338.21393268557273, 339.63734362944109, 339.92163994612054, 340.91129652103223, 341.02289123762722, 344.93405001026605, 346.51026966203273, 347.19068585776142, 347.29660564363593, 347.58022626320468, 347.69075975062043, 348.12432580310491, 348.88155113556491, 349.57488270510055, 351.78920834243593, 352.90524784670879, 354.4788130802296, 354.53900259684326, 354.83973386735903, 355.2953741002616, 355.39789336116996, 356.67909433473392, 358.05057831955145, 358.10305946641671, 358.35485622610037, 363.5204810746099, 364.06825752331855, 364.64861233935579, 364.89749058907591, 365.79647363101026, 366.06824546582982, 367.25005075246804, 367.29394026277788, 367.66030749940813, 373.3291005167078, 373.35082509370744, 373.54845325838454, 373.73982855336823, 373.76486020256374, 374.64827334427952, 374.96454629575015, 375.77983273064257, 378.11157449630036, 379.5630500226074, 381.51941957461429, 382.55801562823575, 382.9144582939204, 383.60207136283447, 384.87521918353133, 385.22711154030577, 385.52347372240797, 386.80852800502345, 386.9623910052415, 387.74998316998079, 389.61376759747174, 390.93581405516164, 391.98877774823899, 392.50399218125403, 392.63450400769023, 392.7964823258547, 396.77966058143397, 399.04960394824406, 400.5418968365633, 400.73430005510505, 401.52314854960957, 403.02244934221335, 404.35694968443431, 404.43532158281215, 408.30526732029347, 409.34580220864274, 410.26683982576509, 410.5258937753552, 410.73184451118408, 411.04390205975619, 411.76843754445389, 412.26695329166773, 412.51778359771964, 413.8616458131736, 415.7446618172753, 416.30651036998404, 416.33650954996625, 416.68353641023151, 417.29137571825817, 417.79241835730858, 417.95720658247581, 418.47464583151992, 418.85036782029044, 418.92094416591334, 422.83322125210873, 423.68166568228446, 425.38777477307843, 426.18352979055555, 426.53060671697278, 427.76593437297288, 429.55130032536118, 429.69171284358112, 431.58692298133872, 432.06864363101869, 432.78313110102727, 433.34578881129625, 434.94222427054376, 435.57424989108551, 436.33537580710333, 437.13778760180719, 437.77903934538358, 439.54459326032975, 439.68557151538761, 440.64613681220146, 442.33074884177341, 442.50187312127377, 447.95670625573769, 450.80522006667928, 451.26769129937895, 451.62222288430814, 452.22938406736336, 453.5032575352912, 454.52458393126022, 454.75379038781028, 456.61805080524914, 457.35958208894124, 458.1923936330291, 458.68963246690896, 459.91744401220842, 460.14036135624036, 461.06314352803633, 461.58205035669886, 462.58806231974648, 463.42111113845579, 463.64774344676994, 464.73322565613523, 465.50253767277167, 466.65664130372909, 467.17421287286936, 467.28956956945041, 469.15049603411541, 469.26638059569711, 472.55725418606869, 473.57968300015392, 474.49881636574116, 475.21550139300422, 476.46358542893006, 477.22297852560757, 477.47069878296514, 477.75923031805303, 479.00309089213346, 479.40065169235106, 480.30387747764672, 481.368072295964, 481.53881574690456, 482.69823985322739, 483.05639516086552, 483.95498536427675, 484.5585708458957, 486.43505338197963, 486.47109365180449, 487.14356027687262, 488.27267106027858, 488.36612806781102, 488.98163090885157, 489.87870697897097, 491.32995544933596, 491.56475628755487, 491.71514398926212, 492.34628506060011, 492.74426468654042, 495.10317137732676, 495.69024160147018, 496.59786347335915, 496.90111622078712, 497.60277507701642, 497.65933740905075, 499.95052437142431, 500.21737669709034, 502.7620432092628, 504.35593488993834, 504.70210611056245, 505.81858722455286, 507.86557538215823, 508.25803100404556, 509.40433125599804, 512.08496301454261, 512.33737141801555, 513.23636294854248, 514.15912013069374, 514.98561521660872, 515.12135888806654, 517.54232804279354, 518.2871660030454, 518.50885144390725, 519.25318948675351, 521.30229533959948, 521.82414423407454, 523.39065489857899, 523.69909356801861, 524.39385224229306, 524.46839083722989, 524.67687399733848, 524.69743629179573, 524.78592570495448, 527.17894497052362, 527.98915553962195, 529.06448863003266, 530.50498480671104, 530.55292248576859, 531.52717104634417, 532.7632708573592, 534.06570127717998, 535.07351658443474, 535.22143013388404, 536.37854697296245, 538.80729885386108, 541.02963252644236, 542.93003885109158, 543.25723213163974, 543.89346492171228, 545.54756555441702, 545.6637304153802, 545.70262539321971, 547.20848991740706, 547.96920096342888, 549.94010211395027, 550.1886442938594, 552.36152876322774, 552.87120101481753, 553.09114759857312, 553.11928409948507, 553.84656614665289, 555.24434878654847, 555.56949810755395, 556.17513372694884, 556.35462672028279, 559.60996301982584, 561.10025272961457, 561.5333665109805, 563.22629879464898, 564.26932417117405, 567.55948574050035, 567.6544854625065, 572.83282893604837, 573.15447699538515, 573.41749883250986, 576.32202032757493, 577.786525594311, 578.93863044804675, 579.40832581782115, 579.73622570451914, 580.95974015778211, 581.25831326676473, 583.24024665338084, 585.02706638422808, 587.10770001017829, 588.28506326387537, 588.62948910645571, 589.87973846383318, 591.32782808359866, 591.48222550229843, 594.06091683957516, 594.8157864889655, 595.07560336289589, 596.63565039375851, 597.01842927389271, 597.3826715485435, 598.29077789477515, 599.85396237470206, 602.44738421824127, 605.38236741893593, 605.55965000698814, 606.76536364110871, 607.4024352656362, 607.56064573836352, 608.47439595941341, 610.62503040282991, 611.09089357184462, 611.966437662977, 612.349668968022, 613.52996309378545, 614.04001738081138, 615.96412516496673, 617.82444539486323, 618.02220250286575, 618.67046992006988, 621.01918322076108, 623.26225501875138, 623.43254540478472, 623.92904033407649, 627.41811606676072, 627.56413052165146, 628.01428240619555, 628.46061552538981, 629.11107108492865, 631.11258914080315, 633.64969637787067, 633.86299343500036, 634.3712630809473, 637.49685820931938, 638.52140505593206, 638.65633635291124, 639.10430478530202, 640.7139402814405, 642.16935298415228, 644.08206341532571, 646.44302684418778, 647.28903483547663, 648.69468748726445, 650.22724646985409, 650.59792014821448, 652.44927843339372, 652.75374910632536, 653.05199886639093, 654.86195795778781, 656.05640201995777, 656.63993278895521, 657.33793640466502, 660.26274375607522, 661.3820337365654, 662.05184372957297, 663.20155897127188, 664.08471595583285, 664.24857082203528, 665.13068389724765, 667.34961844392865, 670.66313360043603, 670.9439414198896, 671.0431374118225, 671.70338313913987, 674.28217298209177, 679.04865019284341, 679.41751360504043, 681.11765496879332, 681.74660947550581, 684.0399058738393, 684.41232581586644, 684.89612122326787, 685.27843529282211, 685.38728751696613, 685.90581433567536, 687.89057635561983, 687.94454987910729, 688.06442377502469, 688.34371078471793, 688.9227181820072, 689.02514321346302, 690.5654785395833, 691.21877188991493, 691.45062042334473, 692.3303426158983, 692.57178767578682, 694.42054007163551, 695.29711064707021, 695.48757231622085, 696.84891411947694, 697.45259551882441, 697.50374712413338, 698.17586861614927, 698.46542867646838, 699.51241710325041, 700.84179976652456, 701.83445336217005, 702.89366330597204, 702.92529504686809, 703.51702208681331, 704.42212843288291, 707.59481498746845, 707.61944583639831, 707.86834099646921, 708.46287571656671, 711.15991249123329, 712.26649475657587, 712.72407172347323, 713.1302772836915, 713.30517168600329, 715.91776786634512, 716.89520401959464, 717.78610154094793, 717.84863571853032, 718.32849791747753, 719.49581949741605, 720.95176471108505, 721.17281919369611, 721.90768630870389, 722.52926477194683, 723.72305415727214, 724.99281501244866, 725.21168360524439, 725.26415073855151, 731.7042237955518, 732.06115153425083, 732.48913050798399, 735.09998527293897, 735.74156231823849, 736.69723926903998, 737.80296845933083, 737.85610854278423, 741.85430895746458, 742.20600556525062, 742.88349448275665, 743.5649716017291, 743.78762115335064, 743.80821123505041, 744.62955534770265, 746.14894752932264, 746.21643418449776, 747.30545518978784, 747.58681627413193, 748.64879339760705, 748.80072234054808, 749.85606993036538, 751.54826143488458, 752.0087204764942, 752.86646801423285, 754.52220985910321, 754.56931429036058, 754.93110314973251, 755.48395093126919, 756.39093976890433, 757.71668052962229, 759.24670471314914, 759.90297270822339, 760.15197739238181, 761.36270113388559, 762.92420043332254, 768.36898508699949, 770.18763587340902, 771.08354261310058, 771.18044215116288, 771.80040687194617, 773.17015693896599, 773.5574441893616, 774.6036171561293, 775.05026959718407, 776.41985046452464, 778.07961556055238, 778.56939656272243, 780.23680944614205, 780.41227375439701, 783.44804631855436, 784.92979546977585, 786.21736592984212, 786.70126239789977, 787.70500737920099, 788.09402236066046, 788.30309520650997, 790.93732057964587, 791.66376124500391, 791.87951605823537, 791.98485126308594, 792.04158284153937, 792.59743735124675, 794.59615014808617, 795.04631148446731, 795.46899812176343, 796.89823549209927, 798.84415324770987, 799.67510566989313, 802.23770205527967, 802.26599277181003, 802.74454106839937, 803.87593285615981, 804.19953519924991, 805.91534780016423, 807.16451286326287, 807.1901521515108, 807.51537729913207, 807.88680073490332, 808.24788109161511, 808.33860546840594, 808.51144853191875, 809.20799328777434, 809.7997057895642, 809.82176431000289, 810.63325143392865, 814.059227998437, 814.23173527574045, 814.7380144112185, 816.19433087078914, 818.11707914457327, 819.18477707936211, 820.49263882838045, 820.54031585930329, 820.96271790320804, 821.91575548440255, 822.59951961803461, 823.69578642144927, 828.38318845493859, 830.42364125177266, 831.14823182481541, 831.56423509349077, 831.72933043455646, 832.0139692411434, 832.3106699299376, 832.90518984704545, 833.17752092706951, 833.30691548249831, 834.40069766589704, 834.89735974094629, 836.53943343587878, 836.65370899549589, 838.62021630430706, 838.97232986019253, 839.80799797377597, 841.19394828700331, 841.44872372262114, 842.5673189526301, 843.55314014711917, 846.46315504894062, 846.60742876449797, 847.44698129782626, 847.47186663034006, 850.33749526249767, 855.14206736778613, 857.50199746750229, 857.90456811190461, 858.91779405961381, 859.1504475005197, 859.73108343817785, 861.43271110452679, 862.88626541120254, 864.76959070896635, 864.82956304508139, 865.13172182085623, 865.60339183828182, 865.89301938164863, 866.08928384701915, 866.56235684141791, 868.1373514201124, 868.31064407702661, 869.83296302500901, 870.02070976072457, 870.12935759696222, 870.85713581254277, 871.50506163732007, 871.63475760536858, 874.89659622250736, 875.51416328468122, 878.74824638813277, 878.96045576471681, 879.02278862889489, 879.43541705236134, 880.70263535844538, 881.03734677363104, 881.53550506305726, 881.75113371406019, 883.76942286586757, 884.06090714340837, 886.49942280558298, 887.77917787614501, 887.83302739466978, 888.70583577293473, 890.30973828786557, 891.72210314379004, 891.76889385330105, 893.23900141625904, 893.8771852491634, 894.0430527647278, 896.88042364827481, 897.27397719870578, 897.59866509821347, 897.88647899364923, 900.14696545324625, 900.18588169503471, 901.24380679148203, 904.63864291316304, 905.73154641507074, 905.90938164133433, 906.9608037496979, 906.99536834683852, 907.01998683208478, 907.23224185929314, 909.06538583351789, 910.28022463868388, 911.12501844533165, 911.55776421489395, 914.68802410039882, 915.85204460742409, 915.97145888364992, 916.31582813392799, 916.42011938236828, 917.5403983209917, 918.44310995705712, 918.60349248467742, 920.47215412426749, 920.95190086779678, 922.87868375712185, 923.11600151388541, 924.39569017317569, 925.23378960482614, 925.51942500924827, 926.90551622112571, 928.68565343339151, 930.13891608018309, 930.6122069264942, 931.07929993848961, 932.36991728494536, 932.95936432989629, 933.26301646664808, 933.96988775990508, 934.11094576725657, 934.52710872392015, 934.63254658503479, 939.44125368070559, 939.95549701309142, 940.33907726176972, 940.4231142989961, 940.86572090526647, 941.11458861880783, 941.14401518528109, 945.66226273287168, 946.71797923149973, 947.21944293435661, 948.8645631023885, 949.2900879864535, 952.53462355731233, 953.28508552400956, 955.64365834102932, 958.88969002330634, 959.48814400619983, 962.0472350129902, 962.45993657679492, 962.97303195260884, 963.06576551409285, 964.59024928757549, 965.18511944818783, 965.28585520256013, 965.58758984946201, 966.04612716770112, 966.091764172838, 967.20544296247601, 968.55532106541318, 969.07299964853405, 971.73254741091603, 973.18563517894188, 973.30622954800083, 974.1974141070549, 974.60870437851975, 974.82599393610303, 975.08299974176896, 975.5594538010339, 976.04879590418545, 976.38312268993593, 976.92416011362377, 977.71863538972445, 977.89514926837262, 978.38769240658553, 979.12888318440594, 980.67786189422122, 981.07653826721514, 981.13771356154382, 982.57219910148524, 982.69269338235915, 982.90424613986067, 983.35494637546537, 983.48944433034217, 984.22985877746908, 984.43618105189978, 984.76785541227832, 987.26881742645924, 987.39309439722911, 988.57965363156359, 988.72314592034934, 989.28924234027716, 990.39629912748057, 990.60127969765017, 990.87371654255139, 993.09694479864424, 994.55735125117724, 995.54505736139072, 995.8791167313592, 996.87496639435801, 996.93519869780494, 997.38410778712557, 998.01612168101644, 999.26654399724248, 1000.3469918893221]),array([44.616684743334822, 46.624766529925481, 46.751196998808155, 50.252461623266782, 51.479415094619846, 51.80225950917481, 52.86629537069318, 53.154142982880508, 53.405889057778793, 54.16814401013368, 55.28530529104669, 55.94084624418187, 57.338045998724382, 59.598456504980014, 61.86411390495747, 63.793240849507569, 64.625325798544722, 65.247158114892216, 65.361236287540507, 65.488823641963833, 66.047367301946124, 66.444083541161646, 68.185814555980471, 68.346199582894229, 69.008277236423226, 69.593676162930322, 70.363719102166286, 70.759699308885786, 71.32271994025507, 72.434600667796573, 72.503748305378693, 73.353949744420149, 73.517382456257195, 75.219547559768671, 76.167671994821816, 76.490686066836091, 77.791193167427906, 78.40295125557374, 78.61154645240758, 83.08875163840068, 83.236819358586487, 83.389607853432466, 83.638114355872574, 84.215972525915845, 84.549686211533256, 85.407692813113144, 86.750506376127674, 88.154023964504205, 89.09053225412103, 89.258798355405617, 89.770431613922014, 90.991765581339877, 91.280566366466729, 91.791747631870265, 93.095186914254285, 93.462758481083711, 94.082975378643383, 95.46882368625613, 95.748721157361771, 95.8182528028007, 96.36244413274153, 97.269317149435523, 97.768651544471552, 98.194750323987719, 99.537730217011017, 99.637657133651501, 99.678456065023326, 100.7535883977221, 101.10367367410765, 101.32524674688008, 102.07151546600804, 103.19197459775772, 103.43013162985332, 103.57939056779229, 103.68434688578917, 104.16890611657668, 104.68982082671653, 106.16921670484111, 107.23849506975279, 111.15982180936648, 114.07532324107095, 114.65898983015384, 115.41290308693377, 116.69697459683692, 118.40428240283556, 120.16966929506094, 121.91782883584466, 122.48013838742229, 125.55614087786886, 126.37699278583145, 126.99693730518219, 127.71216906197118, 128.95986308606103, 130.00809025582046, 130.40656585180912, 131.64744442673577, 131.67777932234242, 132.02390730779635, 132.52765669414208, 133.32191977489686, 133.94242275889056, 134.54304168301866, 135.72045546728279, 136.39826412377528, 137.57462672056982, 140.12763639436096, 140.44506874773552, 140.66092021608017, 141.41556863238051, 141.57236198575202, 142.26657863155077, 144.04924482813038, 145.04386774843229, 145.41601503104943, 146.77837333399964, 146.90978564468494, 149.1046046129251, 149.30218000871997, 149.38248195830138, 149.42795004908007, 149.64020709223269, 157.9254040659348, 159.50733024213758, 161.43846524435006, 162.06408318783329, 162.10221368109623, 162.19937013591905, 164.79337436121435, 164.9190007853548, 165.10585574614041, 165.26178232041613, 167.25910826966253, 168.03028914850952, 169.12219527980557, 169.17835205703335, 170.36699168965242, 170.45982709301026, 170.79828708958698, 171.26425619918686, 171.59389638187932, 172.01758512993322, 174.1136837475311, 175.13824510122626, 175.56860983782025, 176.70433763216667, 177.31988564041717, 177.3415325003547, 178.65424430659323, 178.82856426742478, 179.49353938604906, 179.99125989820669, 181.7553618264605, 183.98333377978742, 185.36341979357573, 185.67302896101114, 187.70398893132091, 188.17848878582549, 188.58241234977115, 189.90335235636468, 190.47650092655752, 192.2843536684704, 193.73319674329935, 194.32902541551164, 195.13894145073766, 195.16180393280311, 195.6476834591183, 196.6110338510347, 196.6438091207612, 198.83205738378069, 202.77084180933008, 203.15092125420958, 205.96717271668186, 206.75999952429774, 207.21631015884924, 209.09290693479397, 210.56584932468309, 210.66030503240376, 211.80612368307061, 214.16607835657891, 214.40978938372135, 214.55486032701384, 214.68108764194315, 215.46217872651772, 216.06513867600697, 216.45239494074892, 216.57752900917291, 218.17650463405829, 218.86822887388826, 219.08438454554201, 221.56801936647418, 222.9071845075056, 223.38947387891338, 223.83548543159915, 224.78831740412105, 225.10983297904349, 226.76887182319007, 228.73673173558433, 231.24950399447042, 232.69573296209094, 233.15625962842395, 234.08317484900036, 234.29452570443635, 235.39220954021701, 235.82133274683889, 239.13161797090001, 240.33987775744185, 240.61852652449025, 240.70257150345128, 241.21295233323951, 241.61677263137472, 243.98528587615502, 244.25367094320569, 244.95101822494726, 245.36064481554354, 246.16305058136177, 246.4387354308852, 246.7252371050763, 248.40595302073615, 248.60527016277072, 248.76805891408159, 250.40672731074639, 250.83103370606673, 251.41778523805863, 253.34925699721916, 254.97557957340535, 255.29383710912032, 255.44618275342296, 255.97325661869462, 256.48859608594228, 256.71548461885413, 256.79261389612475, 258.02685829031373, 259.3717100361784, 260.44395483467406, 261.13400282874153, 262.18086049984589, 262.22171660416564, 262.41204025515202, 265.0531560768552, 265.22190059696402, 265.41916636164922, 266.70380785267628, 268.34467139418967, 268.93909549725225, 269.64419426197145, 269.94434893704641, 270.64785682268837, 271.16589371838955, 272.42924692429477, 273.25866971489762, 275.2500835091144, 278.08047558429615, 278.63906565713012, 280.29011883998714, 281.03984588367695, 281.16744289425884, 283.87672411902412, 284.0537330630201, 284.23443218590114, 285.79891252339371, 286.72354455331805, 287.47457639805913, 288.87091404754852, 290.30191900542474, 290.51450833746958, 290.84713888063391, 290.93114140571475, 291.87176880515176, 291.8977308636255, 292.30907975726177, 292.70378650596678, 294.60062414018898, 297.09239159671472, 297.20645857860904, 299.06825192303461, 299.36115675946417, 300.09227206822715, 300.24778745621683, 301.93616820368209, 302.23618626520971, 302.5536293685779, 303.77356897078499, 306.03206590876022, 306.17767858141758, 306.65642304364161, 307.74134688925653, 307.98457012830636, 310.19259087540627, 310.46120376158188, 311.24564919287974, 311.47536462964183, 312.07647603784636, 312.65955621899337, 314.37503672929358, 316.54455631212079, 316.9612805131282, 317.21516476519633, 320.06772949774364, 321.50822338168166, 322.04100003886191, 323.67896996279347, 327.99326843800208, 330.02156702944882, 330.13167777492384, 333.91860491168399, 333.96117748370256, 334.37412832884655, 334.76493590225226, 334.89199177278516, 336.28139840322353, 336.75392768023022, 338.10431565258, 338.41163093086249, 340.83039775206771, 341.56699364127365, 342.7506700927209, 343.12407024541682, 344.08004106997578, 344.95114975733094, 346.82115636671045, 347.14230210841248, 348.16783203440076, 349.22672870459058, 351.40190931419437, 351.68516779307691, 352.29414994581498, 354.69201709739025, 354.85453264005491, 356.76301177869124, 357.34317828100387, 358.92201925471653, 360.11083139400608, 360.37474330756271, 364.10044120398834, 364.55921743612822, 366.89179015342518, 367.32480951094806, 368.10923038199138, 368.32472337091133, 369.23020666222777, 369.3776386016807, 371.62317601047175, 371.7000283164075, 372.19675486810257, 374.41983130066541, 375.12550598419779, 376.60576126280671, 376.77442446725121, 380.04697786490868, 382.18766208022032, 385.02038232285076, 385.817686440307, 386.37200449371966, 388.86784629301917, 389.27691220356684, 391.02470080362986, 391.06886133792869, 391.10015223205437, 391.40643863946099, 393.39146080634112, 394.26405159311224, 394.98506860494439, 395.13244953615549, 398.10934970347159, 398.24796334017668, 400.09636263120285, 403.80881833545521, 403.86281196829322, 406.31698352939617, 406.3517538049885, 407.06028385672647, 408.78488843152837, 409.69108978383338, 409.71512229833405, 410.94217098789284, 412.36385205617296, 413.95168445873077, 415.56612574880359, 416.49934436366294, 418.54608485186765, 420.60651693460079, 421.16836288915448, 422.2736221003338, 422.61639942016365, 423.07200897061841, 423.38294497842355, 423.6051971326101, 423.86649423445192, 424.05009428442293, 425.52974018843094, 425.78725597043848, 426.65866319842456, 427.24234273253552, 428.16140251743138, 428.34792468963769, 428.48059973910938, 428.84934449731077, 431.06783151783537, 431.99810376970015, 432.51247134048197, 432.59870113299684, 433.94707487893521, 434.26590043569132, 435.45156847727446, 436.58919066358783, 438.4071421931651, 439.27341789422559, 439.65751586819937, 440.97349115953267, 444.72826905569178, 445.54792500426203, 446.41680665736141, 448.64552540662794, 449.66803496768927, 450.25135774970209, 451.60321955707025, 451.71626644141134, 452.02871831848103, 452.11207539566067, 452.25983213078615, 453.2744469194111, 453.33925521713559, 453.5901119665379, 454.72488792603372, 458.67717826537859, 462.87658219571421, 465.44184538663524, 466.36236600273293, 467.04223705755788, 467.74323598856864, 468.84066845204904, 469.51749173753183, 469.9944244629794, 473.00609780524843, 475.29092229133238, 475.65389545778504, 475.98821704657331, 476.57914454346974, 477.2084790430942, 477.35776643721817, 478.79092217737303, 479.11534897186579, 479.6505852095226, 483.33359509589621, 483.58750588956337, 485.10561316489861, 486.10311423238477, 487.99942655247509, 488.45173738313827, 489.1532627530982, 490.11780522296652, 490.43131591062797, 491.37191409459848, 494.47335780699302, 496.58626630056375, 498.04750704658647, 499.26454411666509, 499.44470445215472, 500.24905234712003, 501.51969234453497, 504.50179647482412, 505.97352580224407, 508.21350449422272, 510.07734807937328, 510.19904578579963, 511.44398975523632, 511.58814935719312, 511.89603330610493, 513.08584293002741, 513.95496495854763, 516.22009823013252, 516.53881298285467, 517.04513384157872, 517.61021876384939, 518.75700856729634, 520.08776318017124, 520.85420562921718, 523.21441095036164, 524.15728759085164, 524.35924901470764, 525.91740003179007, 526.43684020011472, 527.54424124225579, 529.30235482043145, 529.60146637013088, 530.02017572101113, 530.90006269855382, 531.00769568576163, 531.09777940550532, 532.47388067495547, 534.68908122453763, 537.09701073081624, 538.84665672215385, 539.05579065475058, 539.40884157516905, 540.67605943381682, 541.0156107206875, 542.35245354066683, 544.1913276704629, 546.0220064254994, 547.17278922542573, 547.57558029603842, 547.65578204215637, 549.74390224977344, 549.79176703181577, 551.77438946867994, 552.69478129976835, 553.06543336876996, 555.15737089617858, 556.53144542538598, 557.47091715999557, 557.62652839872487, 560.07553365093281, 560.24088603570669, 561.14367030530855, 561.21187279886124, 561.75761591934884, 562.55827593737672, 562.73775577907543, 564.28683666459983, 564.6248856555784, 565.86219229410369, 566.63049501654746, 568.68976525969947, 569.50669079119109, 574.95436899524668, 576.15915196816582, 576.78107423127619, 577.30111256309453, 578.69282080908204, 579.31528446748007, 579.91917873296643, 579.97826326122151, 580.94064025327327, 582.73460430625676, 583.66119202203845, 586.0913294597492, 586.74296445533332, 587.53690304849363, 589.31149281270314, 589.39300957984585, 589.90898673953632, 589.96979600275336, 590.62864422804773, 590.70738847583709, 591.98268224534218, 592.67702417965108, 598.80486654872402, 602.8395330131857, 603.08948677418437, 605.25020762726615, 605.32755943705729, 605.50073373624525, 605.93454103003501, 606.044381319271, 607.36516727165554, 607.81445089752867, 607.90577032870704, 607.98201487334165, 611.47910035937309, 613.18662321550732, 614.1035203433338, 614.71997691624699, 616.43687272233683, 616.54634986894007, 617.7405908851473, 619.19316686354205, 619.9972450081325, 620.44347417697452, 620.96453235335468, 621.04193705835348, 621.32120803820123, 621.79612919946783, 623.45519899725866, 624.92825990570248, 625.01928039377742, 627.08169774904445, 628.99698337555492, 632.3886778925189, 632.66596726549142, 633.56339626207671, 633.6095823922501, 633.70549157292294, 634.44901182831859, 635.42033908002736, 635.53786118081439, 635.8302233068697, 636.36989024480181, 636.39484036560577, 637.3687120372249, 641.97141746332716, 643.47213784200937, 644.18478104578287, 645.79837231362922, 646.37516840195144, 646.64995350807283, 648.35927809030864, 648.43280311998569, 648.71631912612452, 648.95769243278392, 649.89450935360355, 650.41716759049348, 651.23695083430835, 652.27223533467748, 653.61668815822782, 654.148674225641, 654.9392076224043, 655.51969322419836, 655.5792468111697, 656.09967214117933, 656.13174025396233, 657.1052046510506, 657.37998449583597, 657.40301621300046, 657.42550162105294, 658.33588628189455, 659.84655873081897, 660.53146902678247, 664.54346322458036, 664.66222665775172, 664.90824861496014, 665.32019478630355, 665.82629458088854, 665.99233902553556, 667.49945057281047, 668.85903463376542, 669.30997387317313, 670.33314318258397, 671.89420820522832, 672.13862855461912, 672.1698350483266, 672.23754752824993, 672.504016445915, 673.9569262912147, 675.56024594113615, 675.6728477574477, 676.49436188895413, 677.92398710937323, 678.33787771446669, 678.61798109729352, 679.06233300329609, 681.05740839893565, 681.1420583276381, 681.41410647210603, 683.59875975745842, 685.97844794183789, 686.11598766868201, 686.55380506261906, 687.46127333946458, 687.78989267663712, 689.10196622138335, 689.79655821799292, 691.61549555054876, 692.17735713053662, 694.90230424542426, 695.10780168472104, 696.9012544527825, 697.1675292205565, 701.54593464751099, 701.56871612840337, 702.56740387211016, 704.84162130107427, 705.51483085407096, 706.41042705740131, 707.96332017077782, 708.28336858125624, 709.88736659011533, 711.17086785585559, 711.61981472267269, 712.19255369955192, 712.78351901928124, 714.66375860630785, 715.26595594311152, 717.25842358232353, 717.71821123224868, 721.84314964630494, 722.03602463655352, 723.77951478962859, 723.99054934150445, 724.31870595706312, 724.5689308955175, 724.67481860521275, 726.23324122092799, 726.31779921657096, 726.3406211498625, 726.63234616365196, 729.25082967426545, 732.35532533293781, 733.51246562270671, 733.95697225188803, 734.30328087320981, 735.22780344831119, 735.60052914821301, 737.00767259162058, 738.04754952095891, 738.15376389495361, 738.73280284202144, 739.5356075160098, 739.90737895214511, 739.98653118927962, 740.86518625041845, 741.47901580477867, 741.82422124912921, 742.04849131054414, 742.32897010756312, 743.99813333715736, 745.26341473766786, 751.90652428040755, 752.00010643662233, 752.42404323371068, 753.42089677125341, 753.53031167979736, 756.1848220331301, 756.6388006863599, 757.03524975163702, 758.3728343243364, 758.75357288285522, 758.99757292708989, 762.20107549197212, 762.44006653204201, 763.13113140315238, 763.21716880213444, 763.67226346265033, 765.47446762219226, 769.09107444836934, 769.16266516156281, 769.18948832182673, 772.92254117950006, 773.22492532148465, 778.19214484080055, 778.58740186368073, 779.97708072311627, 782.28312801976995, 782.3478923526983, 783.00336858482615, 783.34030692356157, 784.86011404348153, 789.11435757102458, 790.76425534997111, 791.64751150885786, 795.49312265123035, 797.83304386328643, 799.16068511051844, 802.59094538633531, 802.74497527754545, 805.19837662848056, 805.56663928412206, 805.82682877353045, 810.01236641763671, 811.62415420034665, 813.98238422512679, 814.72839846862223, 815.30333180421189, 815.7331616666529, 816.19694531793016, 817.06323547910745, 818.60628610148149, 818.9386189736058, 819.79448824608471, 819.93811165971613, 820.88132990948441, 821.17143056135944, 821.83473981350596, 822.08560762497882, 822.37069556084089, 823.27877454769089, 824.23846206391386, 825.59511171099302, 826.4464240143036, 826.62730843500231, 827.19730555735077, 828.4957940449782, 830.59219429058248, 831.64786204763936, 831.99730559838588, 832.23789391716377, 833.17197214882583, 834.29463175603848, 835.82026871727896, 838.22422437624573, 839.391157717684, 839.72335218155695, 839.88571416624927, 839.96054096196519, 843.44945218477483, 844.39227204694259, 844.62180010292388, 846.59494871052004, 846.82771914957334, 846.94175415841858, 848.1453099854516, 848.16585738237563, 849.17682080792895, 849.65069277278951, 850.79768185874127, 850.93480983334086, 851.49753357822385, 852.01222710124864, 855.05453924195638, 858.48680763404298, 859.36373664298549, 860.44252352531828, 862.2889813541326, 862.84962645461019, 864.55534620176024, 865.66191287794265, 866.43576229519692, 867.82559303431037, 870.4790672064828, 872.0493449752322, 872.14141638074034, 873.6464314735581, 877.59393081803285, 879.4664683037962, 879.74134826837371, 880.82418622981425, 880.87313194171008, 881.36644326146143, 883.57264244363682, 883.83024442123565, 885.01288386153647, 885.52408261734558, 887.3095118982161, 887.41406421267072, 888.84923862593257, 889.7221336264414, 890.38682408103216, 890.56162881181308, 890.88526272995, 893.01544951923631, 896.881519103698, 898.87824696366897, 899.04197690953652, 899.70662704920505, 900.13873448655625, 903.09349407612206, 903.4354928083261, 903.92560108970122, 904.20093428300493, 906.80646628116142, 907.69164953534334, 908.78009606936416, 911.19121862824659, 913.8298113110061, 914.46578510843619, 914.74393639400898, 916.28526808149456, 918.28998149163294, 919.32036489981738, 919.40813338639839, 920.44878696085163, 920.55161249249477, 920.68744912120178, 921.59766344905699, 922.26020063999124, 922.91918207587992, 924.2465586206738, 924.73693004155041, 926.58948741020913, 926.83555610148449, 927.36860152469876, 927.40082389910071, 928.98973348050652, 929.74681891980083, 930.24415974450517, 932.42214041903128, 934.34034382427649, 936.8773471617576, 939.97400573806806, 940.42316074888936, 940.53603713861298, 941.12842112795909, 942.0748312665188, 942.33335461115018, 942.53974291730515, 944.23435330182167, 944.51723144212724, 945.5165259149253, 945.81327214292605, 946.80605037050782, 947.51873556394492, 948.75602982476664, 949.98333857502644, 950.65723446606296, 951.08791376803413, 951.96248180524992, 952.18414584295192, 953.68210288069497, 954.04684123844345, 954.12149056125338, 955.09027525604574, 956.13122088179875, 956.64957102201549, 957.34749276815057, 957.66663079467207, 958.7141146902303, 959.16549350834123, 959.93868263474531, 960.08094865555393, 960.40875005316741, 960.58646769442259, 961.19490691132364, 962.1781431063572, 962.50889754141247, 965.70015864968423, 966.22675968700275, 967.12086191140247, 967.71491140824492, 969.59590812573379, 971.89491222619313, 971.95455919711264, 972.52479748370627, 972.65158327136805, 973.24743540052907, 974.05236390838797, 974.24670094379087, 974.51771748631859, 974.7479362140532, 976.0710937013049, 976.27521427630165, 976.51593848690493, 976.57593881528976, 979.10050451158725, 982.26950674332977, 983.2249662233852, 984.77856682891991, 985.54054431723785, 986.94632377399284, 987.90830749775409, 989.76458423182748, 989.86026616004358, 990.14010530704377, 990.96273433361455, 991.16210067152008, 992.33880721596086, 992.51545862200305, 993.07027841731713, 993.09620427120376, 993.14407224926924, 994.10379775475747, 994.49543792918325, 995.18866370170133, 995.75544202340143, 996.01595958419773, 997.91160219122696, 998.55882099632493, 999.44663047023539, 999.64393669825517, 999.80743479047817, 1000.008787359051]),array([47.10081083520253, 48.37534342253938, 48.861173102507024, 49.18839572450824, 49.259838464619364, 53.032203599947771, 53.715455581587463, 55.963687904712614, 56.050673004521045, 56.084035116488337, 56.143478917803826, 59.001038178518783, 61.789464127440581, 63.653415718426075, 65.631087715651347, 67.588307843564664, 69.475835169246452, 69.516384415522126, 70.212690524752858, 70.964448691292574, 72.361844394933257, 76.194232375604088, 77.245178162840233, 77.638983082752517, 77.901259295448057, 79.45157328273298, 81.869865008879145, 82.531754316972098, 83.133907463661458, 83.621685537048023, 83.878023173560365, 85.166208669587647, 85.27597317812203, 89.146688637922537, 89.72073654812597, 91.815594205272845, 92.852536191370405, 93.093704857147969, 93.150786389855284, 94.541085879538628, 94.887481038939569, 94.962836561855909, 95.621253580972066, 96.407588165168789, 99.898876614175535, 101.36594485127128, 101.49304852364799, 103.87538618514512, 104.35534484764126, 104.96112145269679, 105.2622288680064, 105.59391782440633, 107.47156460095823, 108.48260922273755, 110.04461799312476, 113.43680812257428, 114.52191399023401, 116.6173144432225, 117.75055594734832, 120.38829927666033, 120.61196081598257, 121.61649065683804, 121.92976947102642, 123.26672172676072, 123.46495385283315, 123.88145690434429, 124.45918509707218, 124.68289999638486, 125.93635244311028, 125.97096769446053, 127.42562135520262, 127.54910759415559, 129.18243795872135, 129.51335115685703, 129.9577668198537, 131.16010624941333, 131.4764544227736, 131.69381730570845, 131.73627612958308, 132.58746390053483, 133.96810900329012, 137.40808096402458, 137.6185958666259, 138.08790751879744, 140.50927991257859, 140.96221861292005, 141.56287554526881, 141.82151479497227, 141.95543099357957, 144.61369111729795, 144.64032071013872, 145.18202720810586, 146.7492004245872, 147.31364454054454, 148.50625159400548, 149.79559388026195, 153.14170587393085, 153.17097781642957, 153.22105349107252, 153.50134508759078, 154.56019097372712, 157.98139679445885, 158.1730119779734, 158.49615603668536, 158.82745914583174, 159.84500613765914, 161.27961678515794, 161.34854441315079, 161.72261894345613, 161.79666331164549, 164.874183022182, 165.15040289576123, 165.49510301109535, 166.025120191979, 166.28950015826004, 166.44287486823893, 166.65458213011598, 167.62495418965145, 168.51898710524483, 168.98741806764806, 169.8276198948642, 170.29848391605677, 171.39206774641536, 172.49237840396702, 173.30749754050677, 174.71962604004088, 175.12420166169457, 176.96528712275358, 177.81941485667554, 178.18389548189549, 179.34929770529689, 180.6231362284262, 180.78344023162532, 181.20419400642945, 181.98915887546158, 182.55814546509114, 182.78006953381603, 182.93278411841689, 185.07491412627371, 186.18031866251198, 187.69418433675548, 187.7684883593476, 188.80072249695755, 190.40030438198207, 191.7380291334166, 192.08549622933123, 192.67314163738988, 192.75092472447341, 195.43282104741604, 196.06593839684373, 196.46622950787614, 198.33735424719464, 199.27880723972663, 199.54329562632063, 200.43744599512223, 204.0169525174822, 206.55204488023736, 207.4209036603396, 207.82849637568222, 207.96433115700913, 209.42542016260046, 209.97984234263816, 210.01945638230856, 210.13119196573444, 210.27884604132251, 210.72909747643973, 211.33446586574931, 212.51625535126593, 216.79819703711166, 218.79294530525397, 218.93419950416532, 219.37760601553586, 219.98809666331053, 221.46149607928987, 222.83311250474941, 223.22899556475994, 223.510815085665, 224.17660548511728, 224.52715529168117, 225.52065489760375, 225.87912591659747, 227.94840678690079, 228.57811736242718, 228.75640439443777, 229.41051847647563, 230.1967141810608, 230.27673047543271, 230.86000024519402, 231.03464573355532, 231.35278888181782, 232.66184596541143, 233.25526575090521, 233.56979994310379, 233.68694715488331, 233.88841092695552, 234.0935554203636, 236.24527988875553, 237.37855213955484, 237.7164614154739, 240.64336777340671, 244.68411407971473, 244.93131743527968, 247.4600784215765, 248.8281512481831, 249.17794013464561, 249.44824247123438, 252.25762807830526, 253.75847393872294, 256.65877687187339, 258.21646054958688, 260.25273385929603, 260.83610593100855, 261.01808064443179, 261.65417023157818, 263.95286851802717, 263.97352604563412, 264.20321346824915, 264.6717191992883, 266.30839160131768, 267.18507053688393, 269.30174261749261, 269.39736514478756, 272.14135635100939, 272.45622938929307, 274.84476798469512, 275.49466733883997, 276.88421161708357, 278.44537664629792, 279.68443096758034, 279.76863711497089, 279.84216483452502, 281.34213123474893, 282.16379206974909, 283.16710085040404, 283.38261522937216, 283.43680843322676, 284.77325914077898, 284.88038976445193, 284.9987190327322, 286.15782243112471, 288.24003762069066, 289.4586530121482, 289.53221005635459, 290.70526003502096, 292.066738863409, 292.64251564104984, 293.22691779591764, 293.35592984830993, 295.66625753070798, 297.01169668195615, 297.10020377810457, 299.08169871539474, 304.63896942360367, 304.80138011076195, 304.88406193992648, 305.47628575917111, 305.76216451197541, 306.64345528941311, 308.26558468749744, 308.84884788007474, 309.03852803331353, 311.61967213553078, 311.66554744755416, 314.02010204602817, 317.32982928890681, 317.49416016232118, 319.20228950112465, 320.15776165569264, 321.38275958764092, 321.98106251993522, 323.20393939048802, 323.56941241475897, 324.36094949296125, 324.9744724499638, 325.695723447224, 326.91586599607655, 327.14279577142099, 327.34903083590257, 328.09515900864432, 331.88862352718729, 331.9861228732085, 333.81452428316067, 335.88915187400994, 339.24538439877728, 342.5211957215709, 343.62579326531016, 343.74302897709634, 345.87625756256074, 346.91095293752318, 346.99474661724992, 347.08964003864617, 347.14441737750928, 348.91198709530261, 351.95881769507622, 352.27221990309835, 352.65682385242241, 353.02287744852748, 353.07939367183815, 353.22755618578219, 354.68977863238678, 355.09822447452427, 356.43645136927853, 357.38367664684057, 357.76373679402155, 359.10874900321346, 362.52116871258232, 362.56036104135859, 365.25939502913536, 366.94499215078594, 368.06224589490517, 368.35692167203933, 369.44795839921358, 369.78646523991608, 370.31203046419466, 372.07319684872175, 372.95590315223097, 374.95120089048578, 375.19774558209866, 375.60338552634698, 375.7065248839948, 375.90421454961665, 376.65336730932239, 377.03570916598323, 377.70854758029697, 378.76731536425558, 379.31305822696834, 379.94539283746832, 380.24427060850223, 380.57361421334053, 380.94733939529658, 382.85279514871263, 383.15970304294871, 383.24496233686432, 385.0843776044332, 386.00398523910548, 386.45886449986983, 387.45079477544846, 387.57752868918175, 388.3253239417121, 389.54600613621119, 389.92181420241906, 391.5782666085276, 392.6776883197204, 393.08448590697003, 393.19128149715755, 393.52867574858692, 393.89680101409857, 394.20619085362256, 397.15033773202015, 397.58982383504321, 397.94543556060484, 398.44194541937088, 400.48199315895323, 404.24091265802946, 406.18318301717648, 406.51287542805625, 407.45797246553201, 407.87749810073706, 407.94288450161173, 415.10024812187851, 417.14705233108759, 417.22864298681509, 418.55014918374388, 418.92520821645559, 420.39905894353006, 420.88135296097613, 422.81997141687299, 423.86229992223156, 425.71303739943772, 426.63104621195367, 427.15705023496088, 427.50753069293137, 428.57962709071484, 429.41589100892332, 430.76180395101517, 434.09713561500644, 434.56950396380262, 435.89609847129236, 438.13486782422365, 440.37604083055294, 440.66879321374915, 441.67164260568933, 441.92427781472259, 443.07863059489483, 444.50869550413915, 448.82517154298324, 449.07839807237661, 450.40757444001929, 450.80746694426392, 452.5354490255221, 453.31425813295311, 456.67125910468906, 458.15493540408607, 460.09317136113208, 461.25310495803797, 461.71961251377337, 462.06185959399443, 462.21744460924833, 462.55966357622174, 463.18299654990864, 463.73732269676498, 463.95933332460385, 467.20961416483595, 467.34110139790147, 467.91233352297075, 468.19712989650822, 468.36238733342077, 469.12384381344873, 469.21927351978309, 469.35914994382409, 469.71188152139541, 470.30437755874601, 471.52078294227579, 472.82565579987948, 473.44061950755747, 475.26097879732737, 475.36002818704702, 475.85384939820983, 476.46449706715782, 476.61660556529455, 476.91396805598231, 478.18077023869347, 478.66103922844172, 478.76914887712024, 480.47111988868426, 480.77415516183027, 482.01518343686024, 482.17245612827384, 482.76288739868687, 483.67559908593881, 484.08937071569079, 486.16350225502578, 486.61425972528519, 486.83846894357316, 486.89619000168403, 489.08742728441177, 489.13707029451177, 489.17622980569854, 490.17524418890332, 490.87786246514656, 491.34498884440728, 493.19861374139185, 494.45642148188529, 495.44338446451678, 495.47588487881279, 495.51465757312212, 497.60222771258475, 497.81959275366347, 499.03607010246822, 499.48526211061647, 500.15866368672891, 500.6858898970716, 500.70765262279212, 500.76197952346075, 500.92865532443375, 503.43226703535015, 505.17570682526093, 506.55200515037495, 507.94705852316719, 508.23102289700051, 508.54620707822187, 508.8826267937369, 509.18926465917815, 509.68089657707276, 509.87615989496175, 510.48268866445596, 513.30164691648338, 514.05570319882565, 514.11747897182454, 514.14892725165407, 514.76467848352684, 515.46540012757578, 517.11680074044864, 518.53015936917848, 518.88424762117177, 522.409690969655, 522.79774262140825, 523.72758911882465, 523.85224986066464, 526.29234990016835, 527.05538616352078, 530.724703400321, 532.12727863474868, 532.22003372196718, 533.23331624292337, 533.65212517047064, 534.11773379723127, 535.95422373402232, 536.13773937936753, 536.21580897645538, 536.25954913224791, 536.63072613877955, 538.19753089127641, 538.36676709365099, 539.64898926837111, 540.5648132371075, 542.80863528369071, 543.47492843078646, 544.94275714048035, 545.39155424367789, 545.80452863136247, 546.39309377060772, 546.69165899925213, 546.94799761967261, 547.25245122204592, 547.6378667706615, 548.20705186632892, 548.58124329699763, 549.71625961861878, 550.08152260005636, 554.87873193211817, 555.0020201560834, 555.70109975717196, 558.04697800755878, 562.76797899717826, 563.0416399444415, 564.24261105951041, 564.50035663228357, 565.72807193110725, 567.59007314614382, 568.65713195981027, 569.53425479516795, 569.67051458933724, 571.46677359559465, 572.94972777114981, 573.57290252527946, 574.56066924686854, 575.35242954477303, 575.44246051449579, 577.03238054580436, 577.05695659889011, 579.31720614171013, 581.94766478436304, 583.52181092011222, 584.20129659887459, 585.14085985089002, 586.13416267850573, 586.81649708171358, 587.39980572016896, 590.64679945197076, 594.40802482833135, 595.97140310176565, 597.69856823528664, 598.13754055661434, 600.5080886307527, 602.68963996730304, 602.7709115522149, 603.21228174952773, 605.43288046017472, 606.13919055937254, 607.15083798516582, 607.72435076428849, 608.80515395692134, 610.26282423953774, 610.47732138859737, 610.86547633512885, 612.40355006484731, 613.15941762219779, 613.67971745556645, 615.94647072306134, 618.17440488793272, 622.92812622497547, 623.66158362188753, 624.49353203902172, 624.70043346372302, 626.22087645279134, 627.35134233307053, 628.06837498625157, 628.844294109884, 629.73037985866154, 630.97868159194445, 631.90992090447071, 632.93928118402516, 635.78820579641683, 635.86442622194397, 635.96308529714975, 636.35263711729158, 640.01426935794984, 643.16261497726418, 644.33370728377452, 645.48068480407915, 646.60954091171959, 647.13011012890297, 647.97904238952412, 648.21941075989366, 649.18826117933907, 649.55013189226474, 650.49739239482983, 650.53370820502323, 651.25228281706075, 651.52928486086716, 651.64632490280405, 653.51085054520354, 653.57888547880248, 654.66652151346091, 657.83198425742694, 658.08968273355435, 658.48238263859025, 660.26499295328131, 660.76849123998011, 661.18174103511592, 661.36936783911528, 662.7138212039664, 663.08715509765227, 665.88764268020907, 666.19483393105236, 666.57352418649646, 666.97780191166021, 669.9991730653087, 670.96796813897822, 672.48679884176056, 674.55728471117402, 674.73213799050825, 677.37387893700179, 677.77467077486153, 678.10386687722962, 678.25580052111479, 678.67096189735219, 678.82422952714853, 680.1055601597044, 680.75038729941355, 680.78496895348644, 681.53621372064822, 682.18996495201907, 682.57651035763422, 684.38091695408787, 687.76492274288375, 687.95084490023294, 689.09083690277873, 690.73872970798027, 693.00697245543472, 693.11215284920104, 695.20074525380676, 696.36808684378332, 696.65715047470655, 697.14180296497238, 697.86050692822221, 698.61444092256431, 699.98025989240068, 700.46037566629184, 702.91028527263268, 704.0832125831671, 704.85442691000253, 705.05235920647578, 706.08241775363172, 706.4144726041693, 706.51134468033149, 707.45933187591754, 710.66725315544704, 711.2985226419836, 711.6349453349037, 711.84623720624654, 712.81837324206685, 712.83899933820908, 712.86894302700409, 714.51612285898227, 716.35538807145906, 716.92827746982687, 717.84812530858164, 720.19782533423836, 720.29647104096887, 720.32458881650098, 721.07386990717725, 722.8809914055505, 723.47316743295164, 724.28225379949356, 726.60501870042117, 727.37901761785599, 728.87038547015823, 729.31593196636993, 729.7304547424344, 730.84576762439019, 730.95237138609571, 730.97417083561436, 732.00602608362499, 733.10313171592588, 734.41165473856279, 736.10047055029088, 736.53223760297374, 737.03990695396044, 737.16965238458647, 737.45076018382122, 739.8484208825646, 740.17890429386068, 741.79224704059231, 742.1948791138658, 742.62950244982335, 743.2717353694045, 743.48828669259308, 745.15417468669386, 745.68352165051419, 746.63733249079633, 748.14993663458267, 749.47840686349207, 749.54615546128252, 751.10204367830306, 753.2552170544551, 753.3684639170018, 755.09246209005528, 755.21111544603423, 756.5614879027637, 757.3499556127822, 757.97352893768345, 759.71965253295525, 760.37846912530097, 760.96703692508186, 762.63694896426182, 763.46226302899254, 763.8263170492703, 764.01076589674301, 764.47736141835185, 766.18805051014886, 769.69877276776708, 770.73335367530694, 770.95996437235078, 771.32087322691268, 772.06537132651022, 772.50185896713765, 772.69808111908094, 774.73530844697075, 774.93906664264898, 775.51036855169116, 776.39805058545414, 776.45694166628698, 776.90437037371078, 777.60512040783135, 778.05224488102886, 778.21813553743993, 778.3504720584715, 778.80355621573528, 779.61760566012219, 781.30087868179146, 781.4277167022791, 782.35704383902271, 783.02952447790301, 784.68052282986571, 784.79520782626719, 785.04410885364734, 786.25465883011452, 786.48284687818159, 787.20085671966308, 787.87786503211657, 790.35682257922792, 790.41740400017068, 790.82947490460879, 791.02332226900626, 791.50741944839547, 792.69000745918459, 794.52450770089069, 795.36356742139776, 797.01528732828251, 797.96840557302858, 798.50230928714257, 798.65144868370987, 799.00310370076966, 799.69361344474419, 800.12356180203267, 800.64755847875608, 800.8598805797792, 801.94502224181178, 802.87418694321832, 803.78695461534687, 804.10762503462536, 806.78484233303243, 808.86007075626662, 809.47212408109033, 809.58366395380324, 811.24960185223836, 813.22976781530076, 813.34110687933583, 814.79891535667105, 817.62931671204944, 818.76980087929951, 819.20505750040479, 820.83949409183697, 821.14336784310569, 822.63862835325813, 822.75007451520503, 824.53943091233134, 829.33076297790979, 829.85172214694217, 830.73908668931949, 830.77144646306078, 831.2426277448302, 832.63244034248942, 833.89401710180243, 834.18872971308451, 836.31616530796498, 839.1834963732083, 841.01726050468415, 841.53375803389974, 842.0461323696843, 843.86280032547813, 844.90084199495993, 845.28535671085444, 845.36246469927744, 845.79582656163211, 846.09382331689017, 846.49094318587834, 848.79599742229061, 849.10141873542364, 852.10677307356821, 852.16306846373357, 852.48340568858919, 854.63145063200989, 856.136108427615, 856.61766775597198, 859.13189476964476, 859.17138122400479, 860.03305447188518, 860.46441412801289, 863.46251086255006, 865.01097208467888, 865.04635224785818, 865.49065332025248, 865.53857998417004, 867.16891935691274, 867.40410506755507, 868.07841218309568, 870.19826632387367, 870.72826346387762, 871.59833019841585, 874.09929441920883, 875.06827070512747, 875.37573672231326, 875.59612759560946, 877.1362020151995, 877.86586524833615, 877.9258932532498, 878.11492047024853, 880.91148203306216, 881.03580107596747, 882.19273431082627, 884.32128680046458, 884.75533846012286, 886.55854882755887, 888.98084283009302, 889.33609772773332, 889.49791893041618, 890.51128240609148, 892.6345004017237, 893.66158992604005, 894.65000037117693, 894.88841627290435, 895.06795839003132, 895.9535725948308, 896.45745582920097, 898.21839403807917, 903.17262357123639, 903.52588157025843, 904.77535079961888, 905.62983562623617, 906.8453964778206, 908.36016903450593, 908.74999936799986, 909.30354541059421, 909.36174647490964, 910.4106238305751, 913.52533820116196, 915.24293312525344, 915.70811161332836, 916.19504237686033, 916.48003498227354, 917.40540990606053, 919.977651902096, 920.05634826342407, 920.38442172718203, 922.08163188841149, 922.890821320957, 924.32651826022698, 924.82019400311628, 925.04481988286875, 926.42663432332017, 927.23309555413971, 928.82245270713486, 930.97849130211182, 931.75692489928451, 931.90027023348819, 932.61569265381502, 934.1309750198443, 934.46417985661742, 935.34798328050829, 935.52168488148891, 936.80400676110355, 937.54395685841166, 937.94795507412744, 938.36125666118528, 941.00129167733792, 941.08217330776347, 941.94624186169779, 942.35251637397505, 942.5646050620237, 945.38733164706491, 945.57916407253742, 946.73250887382335, 947.36408096074717, 949.56223377634558, 950.08704608043081, 950.396551524752, 950.53863360696107, 951.14223127428556, 951.17318684667339, 951.39235723997945, 951.43273968156439, 953.51469635274191, 953.61215124505782, 953.79262985881383, 954.86356064447011, 957.74547583252775, 958.03078430149276, 959.17521925635288, 961.40922393380652, 964.33169873435747, 964.43057319915135, 964.84345992978081, 965.58361553169789, 967.02518164038804, 967.81579167283678, 969.50704535673958, 969.75307649083902, 969.8873260153091, 972.38915647388671, 972.74223529598783, 973.08130378378826, 973.17751498068174, 974.7679014957464, 975.16108191405851, 975.25744767384913, 975.40981524673555, 976.0707617738226, 976.97760732112999, 978.19846094153263, 979.47579037081323, 980.03016108232123, 980.95291821584078, 981.17286504074775, 981.73098796865611, 982.01346444844182, 982.07615403241221, 986.62521630963488, 987.35802761933871, 988.07485034869978, 988.39150972718323, 990.89068290025182, 991.44193462722467, 991.68165418067963, 992.82101564868276, 993.34313653626316, 993.50007063010469, 994.24539739439331, 995.06909085944665, 996.31888101496838, 996.47813702735959, 996.53895183140889, 996.88904278984694, 997.44446030296012, 1000.5044061565997]),array([0.19784869403859373, 2.0274554546986447, 2.8087965730302829, 4.1197103613832384, 4.4139656373209819, 4.5413790387451405, 4.8991814560464739, 7.2656746800811014, 7.6444867070282898, 9.3671566591968691, 10.326657012939737, 11.491043525100942, 11.652912796655713, 11.692460074462394, 15.145563991679566, 15.730888126539048, 16.274492203475866, 16.742298355897841, 18.691948841226846, 19.182876275504999, 20.701887294297691, 20.852401972909387, 22.406301881811558, 22.901263572993759, 23.166002614201926, 25.142787139494814, 25.622388453368785, 27.224020181629609, 27.625731500354835, 28.920960531382605, 29.014040127360069, 29.695985587227021, 29.800493708290254, 32.254372882331005, 33.428001971463189, 33.704029018034447, 34.111088307210366, 35.228482316261314, 35.360782186042854, 36.144349663547651, 37.276609980779241, 37.309516439060729, 37.363436355414855, 40.945120741376968, 41.199290669318032, 41.50070574769056, 42.411736882011141, 44.659666908330017, 47.626346391634378, 48.290596088908103, 49.56434284049238, 49.967090821622399, 50.038438788727582, 50.833779827077855, 51.672821169784065, 52.845559004836005, 52.918173992120508, 55.000930548132274, 56.782301071234983, 57.60363496243933, 58.938188560263413, 59.183894593344348, 63.52456675641416, 65.740201055572328, 65.864113632628772, 66.585227986232468, 68.52261763896658, 71.381751090807811, 74.29995729328212, 75.101205687425761, 75.926579448964674, 76.50684612719219, 77.021274739092249, 78.072572211222223, 78.293818031507627, 80.720989732632802, 81.751605414368015, 82.602764179672903, 82.889154770419935, 84.024378302215823, 84.107266135156593, 85.023978955915993, 85.562737018004512, 86.815221267140018, 87.550711291096206, 88.989143047020534, 92.050193094166019, 93.515895214511673, 93.722489130285211, 94.120813710106574, 96.420324390119703, 98.855123964524807, 100.18394130044682, 102.25529669448116, 103.74084066167057, 103.76954782189661, 104.71305500853683, 105.18296181407315, 105.9510068784828, 106.57349549121236, 107.89548923734871, 108.22502539555624, 108.49964647792726, 108.63719554314892, 111.98875269214926, 112.11310896926658, 112.47787455932298, 112.89522455703285, 113.37722037052701, 114.64192113627747, 114.85041595636277, 115.32959657633923, 116.02460007074366, 116.20678282956996, 116.65113002227534, 117.00668545030777, 118.26909009771182, 120.50342257908538, 120.69923806159098, 122.04199059475064, 123.02943600002648, 124.62914046564148, 124.65174967342784, 124.74531216697616, 126.01398594606727, 126.36191782617531, 126.86899258995622, 126.9424457704947, 128.32831916828317, 128.74865583100254, 129.48905589449382, 129.68928272568081, 131.33838599347587, 131.76340814040452, 132.40529785770994, 132.45737095882032, 132.73807453739306, 134.88155199232554, 135.54159139712644, 136.37190197121672, 136.5514179660999, 138.8574736153715, 140.92552654955074, 141.19366616714439, 144.75988575884404, 145.18089576005943, 145.50069598450733, 145.58917173658924, 146.4049689296514, 154.78406053792645, 155.68851828061938, 155.77652432248377, 155.94716097699418, 156.94667460181762, 157.04241119470257, 157.4962005015519, 157.88502405501112, 158.33014762453155, 159.71899024793066, 161.14763491324027, 162.69792408406471, 162.80805804930776, 163.45574732222738, 163.6110933862125, 163.69246707720205, 165.83525241016423, 172.74712457519482, 172.95452654162, 173.39981566557603, 173.8952234369365, 174.61978496757831, 175.07314684881231, 175.39352748722186, 175.77791255638977, 176.60267024334081, 176.77380797009263, 178.61023436347023, 179.6479803606619, 180.14510129605659, 182.80330373594128, 183.54508133905037, 185.30174741323793, 185.83397657447642, 186.42292366751295, 186.99438505848715, 190.07852772555427, 190.51365074537378, 191.23996407895723, 192.82622465127946, 193.30358921829082, 193.4815575810693, 193.85108161502035, 194.08707356445296, 194.34974975817155, 194.818896936312, 194.94388089560627, 195.49122141027448, 196.27134674750627, 196.49975930748727, 196.70003963096093, 196.94843073159302, 197.39953620312588, 198.1545340500407, 200.39476309656052, 201.11319304448159, 201.92386840484977, 202.17544131110165, 203.61534497252561, 204.62189409553656, 205.43129361146845, 208.85828253480847, 210.50627142780812, 211.48255338694199, 211.74984043409992, 212.80287205087706, 213.74440636799235, 213.83850089164432, 215.43844203952716, 215.57181156432773, 216.64101913425537, 217.02418562051395, 218.63602759853171, 218.6644327519497, 220.02846312174731, 221.55330151127106, 222.15752586020159, 223.2455757439418, 223.29822244664081, 223.90681139216326, 224.83956143783175, 224.95936102083931, 226.83726269906927, 227.92829549143445, 229.95655065374729, 230.73100351413623, 231.01635647532279, 231.14429842577405, 232.20228467776914, 233.08485467423844, 234.05360092261981, 234.17440693744066, 235.7046393858881, 236.3485566384401, 236.61147815352092, 237.59297047115021, 237.75053883107628, 238.14374293388855, 240.14865493080674, 241.48724229530762, 245.71372130922188, 245.8619749765972, 246.0707325636229, 246.82833965576154, 248.08972814824898, 248.5865590976596, 249.04616588003159, 249.79427002453849, 252.89679108264099, 254.3493383079969, 254.40545524010543, 254.52922958392224, 254.5519318371868, 254.59904979224132, 257.40527694298146, 259.11121961689105, 260.37237290695379, 263.14165352717458, 266.42417353697135, 267.3444356660184, 267.70675519861879, 267.74312672273976, 268.1058162887818, 271.00274276165771, 272.68105109133558, 273.84751751427473, 274.8314520093565, 276.10855284707833, 276.14508228047475, 277.57605007136783, 278.7596571245395, 279.05923762040851, 279.30864169012176, 280.99994917048343, 281.81761584136092, 282.38109077862811, 282.70267924617264, 286.13892718377951, 292.17582166585134, 293.03303560824321, 293.06802206052674, 293.82938216530249, 294.90100918824407, 298.03951249778345, 299.85685085483505, 301.95188815601233, 302.35913456883645, 302.45661321559635, 303.72550281301193, 307.49239133817389, 308.8728258633264, 309.30169102694066, 310.99375750081293, 311.0835520480486, 311.70608946411119, 312.30104536559384, 314.4935322773452, 314.87103937583731, 315.14313276563388, 317.5466540801209, 317.8281707376953, 319.53785148332969, 319.83716872146505, 320.25278437795032, 321.67234331575798, 323.49988812795112, 324.00681403052107, 324.45821796070584, 328.20689571928193, 329.94420442603854, 330.39441943852421, 330.8609834164219, 331.14929453751034, 334.5143479876412, 334.54905075261581, 335.88292622503576, 336.49214159606237, 337.45761103201681, 337.70681783144352, 338.45510950192801, 340.84972856226483, 342.64362005100935, 342.98565313399001, 343.28904164753084, 343.80488543094111, 346.2620021622738, 347.72886587442304, 347.88831894843906, 349.51929619311835, 350.84727545187434, 351.23489048010396, 351.84635772139336, 352.56304241699786, 352.78459215949289, 354.23096590742392, 355.51656721359353, 358.62962256720033, 360.77058414655926, 363.17730303281178, 364.94737110034959, 366.53020433344739, 370.90243858625058, 371.10583839989982, 371.21987380296054, 372.74550205062388, 372.84806400390033, 374.59532323453061, 378.54272964978315, 379.42510557268923, 379.68637385199855, 382.41821943475054, 383.90401148471835, 384.51376887591175, 385.67115962505767, 387.04431385512851, 387.69714806575524, 388.06482050158525, 388.1451161048027, 388.79230750020588, 389.85192501129501, 389.90563023767544, 391.03484351306327, 393.16677511293295, 399.85322634650345, 399.87525774338258, 402.31209584523202, 402.96324037687629, 403.22110683839077, 403.29240182402521, 404.40433570198343, 404.97341581297246, 405.05573037455287, 406.06015155705933, 406.121502971013, 406.765851823123, 410.36340301065968, 411.43677484487461, 413.5484760918099, 413.80683886302677, 413.91953710376964, 415.63073477540155, 416.23474643562594, 417.45937489710593, 418.66809500636941, 419.56303537239557, 419.73193942021726, 420.05563452224527, 420.36148981167742, 420.72642615410609, 421.29268160432275, 421.58757188264394, 422.36736824346917, 422.64599308763405, 422.8231829066857, 423.90307077963388, 424.52303058862867, 424.91218358804986, 427.90288192438493, 429.02800850571282, 431.18842925876419, 432.55425617766377, 435.44184773644292, 438.39012777763503, 440.22897924507566, 440.97375765489909, 441.3788767775539, 441.85568723519725, 446.44436125097161, 447.24241686715368, 447.26510797018204, 447.30999468242169, 447.41540831494365, 449.43264181320882, 449.53128129746608, 449.74347594201339, 450.18690974967387, 450.65626372842348, 450.71249337862872, 450.74274902633033, 452.69965685130103, 453.6788498555826, 455.18037618859211, 456.25766842968767, 458.14039555971715, 458.55264300136815, 459.32452002297708, 460.63602721437422, 461.07042697924669, 461.56618651712756, 461.8079180370998, 462.22091613534707, 462.34540866950505, 462.92105108852036, 464.08502942352396, 465.79500653650467, 466.6037956979203, 468.36967543658386, 469.03552644466083, 469.67152870567327, 470.39249155097599, 470.76183379656737, 470.84821377637365, 471.12625058322169, 471.74865582675864, 472.29509665102222, 473.43692072917753, 473.49552697837004, 475.86595717805068, 478.12632260939654, 481.62782206070705, 484.22923549097681, 486.63852834943231, 487.7710487612253, 488.21496815869267, 489.25548829500411, 493.62187195441453, 494.45426033255256, 494.84899930210435, 495.19367652503422, 496.03243945925578, 496.72734283086777, 496.78885808142292, 498.71497417059743, 500.87441002904757, 503.66141338719598, 503.97046908016836, 504.5840139621547, 505.82763651616648, 508.82354504243006, 509.04421529843529, 509.08935023767606, 510.25333993506536, 510.54840437342574, 511.57595593505664, 511.6513141008931, 512.78228102796106, 513.66297160067325, 515.70552953169954, 516.57323434504053, 517.40018906076511, 517.66607048790775, 519.12570593184853, 519.17945673859799, 519.30504098988399, 519.72474202881051, 520.05196560796776, 520.32976665922649, 520.7560293672592, 521.49912194139972, 522.65458888013382, 523.55133007149641, 523.88208007804008, 524.0700363071702, 524.20662165063095, 524.61905257928231, 524.79994371249347, 524.99291113955837, 527.3880164380937, 527.78914228571728, 530.0835935718942, 531.18409618304872, 531.60288705382209, 532.7154538475537, 533.6988718497189, 535.8972108680473, 537.90885522002247, 537.96238873467735, 538.00261969416624, 538.37948639712522, 538.46965108377083, 539.07628520647233, 541.08265325317825, 541.37179269327601, 542.13860375893296, 542.34337509158888, 542.72928946214392, 548.82783813355252, 550.2458170144746, 550.81810045883503, 551.28278393903167, 551.4746188061697, 551.83144934036079, 552.24058550564985, 552.37809514969172, 552.52995244289639, 556.24228215971675, 556.28901031359362, 558.59588936937268, 559.036716024572, 560.78780884596165, 561.07934758191664, 561.32783645351867, 561.77081088227305, 561.8302705255503, 562.28855056625878, 563.24838689375224, 564.04901645142957, 564.74185312521411, 565.80192879788683, 567.43200234520714, 568.95204524063695, 570.88541468258768, 571.18064198172112, 571.22601430378438, 573.32270246083453, 573.3485412596757, 574.01259587583229, 575.5587104204302, 577.85835574143607, 582.43982717259939, 584.16579890587559, 584.98611887352604, 585.33549443229674, 587.53753835802422, 587.60194479530833, 587.72423807110886, 588.45666460004236, 588.97745345367161, 590.01282476471067, 591.68491113585628, 592.59728677154862, 593.17326475263599, 595.07277509083201, 595.22198744288926, 595.96280452794747, 596.304097517419, 597.5096747329527, 597.90645108056572, 598.1276162874085, 600.8523537629178, 603.56582364633107, 603.68566594649155, 604.7024146438639, 605.38067807162827, 605.82237732931299, 608.05430433912056, 610.58044642430582, 611.77913418995286, 613.42031335544482, 613.87545541352824, 616.82186355130011, 620.58149268527075, 620.70790285955138, 621.14082795871229, 621.27509600398685, 622.2898605277212, 626.52557597711257, 627.01498471655509, 627.05467844411351, 629.50515255092444, 630.07419672022957, 630.96705507995193, 631.09938638391384, 631.75463554446651, 632.64239911622792, 633.79256422981052, 635.61175780730093, 635.77020584040429, 637.31387065083584, 637.43587788592902, 638.49283350438873, 638.6508317144303, 640.41430985423779, 640.56038724723066, 641.57717319211213, 642.54428167581079, 644.0410260191278, 645.11596820369323, 645.69911166150564, 646.4701838493329, 646.80329452070487, 647.36096429189195, 648.52068122312369, 648.59591921953631, 650.16136619856388, 652.36862459269037, 654.84036219857865, 655.35035666143028, 656.28872398775593, 657.94060806957748, 658.0975811130744, 659.92069909263773, 660.5144318704813, 661.12858901360721, 661.24973914273596, 662.45559370899548, 663.31734746963866, 666.73505359957221, 667.7107367001729, 667.81990545897747, 668.60547055891516, 669.32205130995555, 671.34203994375912, 671.9429325673442, 671.98133090666317, 673.35890743301968, 673.69908940289895, 674.48542842965708, 674.77690960070106, 677.88480018763755, 678.4462569621312, 680.80583224760596, 681.46518701212744, 682.53126511388928, 682.87609284193434, 683.16359046982996, 683.80953514449868, 685.55848072472486, 685.75563394556411, 686.70702567573335, 687.76477957417512, 688.3062026259006, 688.57835007596179, 688.96964722231803, 689.82972974732206, 690.15420628490335, 690.99847642136774, 692.93879309704278, 696.78031887663121, 697.08939547442071, 699.68719953348705, 700.27393556601999, 702.29918877506077, 702.38301971538021, 705.27647844920864, 705.70013107580701, 706.52202675372666, 707.64359829123202, 707.70082632587366, 710.41639470717735, 711.18841200244015, 711.48074427369431, 712.32314179139394, 713.53285466204011, 713.70276392381686, 714.21101924791856, 714.26858929232992, 714.6721119413063, 714.87845107603187, 715.09025754036043, 716.06911354541739, 718.69567245886742, 718.79294417096401, 719.29696300717683, 719.55950611684864, 719.72534565527474, 720.12930629203606, 721.06211154489381, 721.39128059459506, 721.57182165457971, 721.85161514660331, 722.0357870928716, 722.95416478063078, 724.87128816710549, 725.98164581165474, 726.64172981878494, 730.00774570879707, 730.52229372940599, 731.14869264680715, 731.39681302056283, 731.96052489195995, 732.6807090435027, 732.79883212392122, 733.13850716467414, 733.71063488406548, 733.85888967028109, 735.48942298319264, 737.73916798499351, 738.58007192361663, 739.35013896071314, 741.41858405374876, 741.8099376432815, 743.99703309212282, 745.28246426191993, 747.10307549011884, 747.16273957339115, 747.46131254600778, 750.88807926080608, 751.45417769725304, 752.76108272118461, 754.1138025478549, 755.47812420289085, 756.96968877213624, 757.14925326973332, 757.48612320285156, 758.64047031806081, 759.36429263869502, 759.95286740415293, 760.00148588812306, 761.02083812360934, 761.30028680902069, 761.41987131514918, 762.53923810766446, 762.70652066367472, 763.46026206740066, 763.96885674114094, 764.44115566470828, 764.46947814398402, 764.56290556846579, 768.39941055761471, 769.86654477193429, 771.76644133324817, 772.64001863116209, 773.32534411644178, 774.08168090008621, 776.19117636250905, 779.23436858320235, 779.63795025808759, 779.73810605852088, 781.0048601145038, 781.43802661738141, 781.4927145716764, 781.71304267601511, 782.28299683390696, 783.79559886499044, 784.69340838530093, 786.10590724732003, 787.57733496305229, 787.8980128467233, 790.65796186325315, 795.10624483024174, 796.39165590665687, 796.86367028231223, 796.98374953649011, 797.12336132959661, 798.98812401607404, 799.40321686766674, 801.31593304798446, 801.44013045273891, 803.21757225430747, 803.53050559139456, 804.7782369505627, 805.15080683005408, 808.39654154141169, 809.63217391934506, 810.22200568765982, 811.26987471448695, 812.31174105423827, 813.23699161746993, 813.33589916576091, 815.54932189199803, 817.79847056539415, 818.2611328702526, 820.03773360191053, 820.22900938220675, 820.30080626606809, 821.26276015306303, 822.10229526565365, 823.85876594842921, 824.36706908470842, 824.67657380752814, 826.16139038466952, 826.70608156155788, 827.73494133803467, 827.7627099902179, 827.97279214839227, 828.88523905166676, 828.93371129274908, 832.34652307459635, 832.49547275279247, 833.01223167653973, 833.63803481958041, 833.99336699041623, 834.37706274806294, 834.74908246517418, 836.33927801401285, 837.77222747454493, 839.5906294568108, 840.27760854415919, 841.78364398794849, 843.25550270760948, 843.85608017716311, 844.39465044004965, 844.61438947083877, 844.74375915789381, 845.09005530642457, 845.65386811593646, 847.08371660706678, 847.89203079509059, 852.02720985025485, 852.39173243501932, 853.45300506044089, 853.83661975664575, 853.95814142958102, 854.44179429696453, 856.87569038983929, 857.20658430529465, 858.74123588389784, 858.92849868407711, 859.2899440735556, 860.0572415565739, 860.30045155305538, 863.03360406713296, 864.19139358158736, 864.45670031888915, 864.61472809394968, 865.14548592444703, 868.31014832985011, 868.35204511213374, 869.87957560732389, 870.70787948272095, 870.86823701424237, 871.92016119461277, 873.36513860054924, 874.08957423685035, 877.62159348108366, 878.07337122547108, 879.20661593768818, 880.15644647907288, 881.52524743008098, 882.03239161173019, 883.78308503716369, 884.29558144139094, 884.84323509842773, 885.503416085911, 885.93847433039605, 886.08868244146959, 886.53020692055566, 887.32613976789048, 887.83411555544365, 888.60336200763049, 889.04132814735158, 889.78191830247943, 889.88426126197135, 891.50745446158908, 891.77719952575387, 892.6989133313748, 893.26595472296719, 894.23332165332988, 894.40216843365147, 895.10942491553305, 897.20242766189028, 897.69276137333748, 899.47057856073377, 899.78362479886948, 901.5426776616199, 902.2091795331944, 902.50039106047404, 905.53299886707123, 906.00228460025733, 908.21727958043516, 909.31721173151652, 913.50113058731893, 915.2602797612343, 915.79709565951157, 916.08809115102201, 916.48601424185745, 917.59271796908024, 917.69949022075218, 917.97519398808731, 918.299046549119, 919.47825380205484, 920.4052885824193, 920.44080517190798, 921.65358761903065, 922.85275149069014, 923.67953221842401, 923.88628502480333, 924.01046531567351, 924.26896625298241, 924.6252896749827, 924.64958315118611, 925.52891863780405, 925.63346554779355, 927.52842961516751, 927.60457164486832, 927.7676036339551, 928.12071723945996, 929.86936546733398, 930.27290643464039, 930.39383513331063, 930.6398908104735, 932.29996569866455, 932.51993228331287, 933.01167144816998, 935.93619486319915, 936.74902471518919, 938.66861055183369, 938.78536300421308, 941.63222822420266, 942.26378039014492, 942.45213048174901, 943.91046701805612, 945.81765204889939, 946.45161859329005, 947.77890649619462, 947.83951085542117, 947.91866980007057, 951.08571531634323, 952.46312873824002, 952.56331415639704, 953.05216079604088, 954.7809498258024, 955.12521801943842, 956.33857576244338, 958.11354412441176, 958.16051839122076, 958.3235576470264, 958.34586895289556, 958.46829237159125, 959.37295723823036, 959.4887194836208, 960.13890042799358, 960.6892020015863, 962.14001301707799, 964.58344974654244, 965.31048106232481, 965.66439876126458, 965.7643586694013, 965.9016316733522, 965.98184097133844, 966.52724121221797, 967.00356720343314, 973.265863778518, 975.55389385834224, 977.10434406111597, 978.11580577564382, 978.77193895143694, 979.97423773040805, 982.72598256597814, 983.0847367221769, 983.68061040943394, 985.53866584876221, 986.30079299957663, 986.67068860522159, 987.72737503407461, 989.37693628491809, 990.48625013875608, 992.59024851814206, 995.48252485371643, 996.47315375310825, 996.75362279928834, 996.92526915155383, 996.98196915814515, 997.82774736063141, 999.68480716615568, 1000.5971786339262]),array([40.840708328060728, 44.977737101786438, 46.884672982306505, 49.668049171243908, 51.482473094933113, 52.412423021826463, 53.029705903350113, 53.084051481425412, 53.57816860074729, 54.555230443027945, 55.227653681416221, 55.362479961389397, 55.468946232171362, 55.651963290523589, 56.063986311192707, 56.565458552662797, 58.274393041222908, 59.6226122916176, 61.017376259497226, 61.904915221318433, 62.528871192412154, 63.823236996149141, 64.149383292174406, 64.213425553349424, 64.292988366979358, 64.520403148462023, 64.68804401608017, 64.72641744270814, 65.574001992228148, 66.210552002733905, 67.836886465238209, 67.882569806310144, 68.038160811589677, 71.049133374782954, 71.134870415088884, 71.176232098092513, 72.06965808196766, 72.410984518924337, 72.701164266705746, 72.893888121566775, 73.691507656504029, 74.227247525929712, 74.495750606950494, 74.93378156639406, 77.25202568246236, 78.063404690389063, 79.695937246884796, 80.009845283231869, 81.300585698070563, 81.823003624507976, 81.931348128868905, 83.138813182503171, 84.695804534909584, 85.433934050292905, 85.943325222057695, 88.449269709543955, 90.315578602297805, 92.624335886790206, 93.442822219446342, 93.58628498185324, 93.941031873515712, 94.414450991275672, 95.269627276054095, 95.742338064742071, 96.609100483638244, 97.218394989008374, 97.276018068017493, 98.285609329556138, 100.59282565078512, 100.76206082228357, 103.87447985946517, 104.6980955187351, 105.13919889554761, 105.29144699920219, 105.78268785241805, 106.38944925654836, 106.44339197047556, 106.82587534640037, 106.99799623716363, 107.56532886096363, 109.15905369264108, 110.58745402734981, 110.89292700986478, 111.25928933744572, 111.78040974330379, 113.76800298049852, 114.9803452999174, 115.82097673826759, 116.75156829479069, 116.97609743129347, 121.40346945778073, 121.98354162778965, 122.75063352820133, 123.552076666163, 123.61768182857429, 124.21262873389803, 124.51991739590709, 125.05866682312487, 126.3234366919128, 126.46318830635295, 128.12638276359914, 129.16908070730872, 129.71868844804069, 131.33068506713988, 131.56047945659986, 132.39418270357814, 132.88174606132552, 135.10852762850305, 136.56819165750611, 137.3407583927592, 138.5511779390813, 141.08061320516535, 141.80960834848514, 141.99140584612476, 143.55212886416155, 144.19395610256188, 145.64587210788338, 145.87073918220676, 148.51789193724846, 148.99972918109327, 149.51858209809347, 149.79459278339198, 153.02561758467237, 154.73514794028557, 154.82498718698318, 154.87986870519802, 155.45429771030206, 155.55693651744014, 156.46288363971885, 157.25428273097452, 159.13824742200785, 159.30219125224852, 159.38357245564995, 160.06251827246206, 162.02764661657025, 162.83568779713042, 163.07437197961241, 165.10304605024467, 167.9301320648801, 169.52669716870136, 170.43874424833689, 170.97542643187259, 171.4426625682232, 173.71947945516249, 174.18307583062119, 176.63128831233837, 178.64076847140731, 178.70018870187235, 179.02258477375906, 181.99096761802056, 184.21248521665464, 186.44006350930064, 187.60496036065732, 187.71156606926263, 190.55165099066366, 191.12979403696957, 191.55323329895094, 192.87449316021184, 194.25271981843994, 195.67491665355624, 196.83436316465807, 196.98981301260315, 200.48659131926749, 200.51624256035845, 201.74398268911787, 202.39833706737235, 204.63411062940179, 204.88980600590091, 207.10952394763714, 207.32172084122769, 208.58943573520602, 210.20364122443308, 212.18379151148108, 212.50627923336936, 212.9985033942996, 213.41029812636023, 215.01826777641145, 215.46132540668717, 216.71772356933278, 216.80591387546028, 217.37289147052005, 217.62645175658523, 218.3781509791821, 219.6141281374594, 220.42139802615281, 221.56965380293684, 222.3828304400746, 222.71746277880757, 222.93745789231895, 223.85092563151031, 223.88302177898535, 225.36205824569984, 225.57451220190757, 226.569553467818, 226.89722231675555, 227.28394778857378, 229.34875299239249, 231.20252767213768, 231.67212394842787, 232.9788926945088, 237.95206036541342, 240.01282135202379, 240.08002553540695, 242.41488830801961, 246.85044440025916, 248.42958061572998, 251.11752019742372, 252.6019896396395, 252.82674056162401, 252.96603815371466, 253.31917583753446, 253.47525513544406, 253.61062452262459, 255.65520555020203, 260.61572981953856, 261.00328591220728, 261.36592796035234, 262.9888261152758, 263.25452638533932, 264.59453500489718, 266.03857801619262, 266.22844084111961, 266.40156677655216, 269.79055733775203, 269.88844297037753, 270.26476677862274, 271.92437497253945, 272.13533444740341, 276.85327736275525, 277.54662213296047, 278.08052172642596, 279.49565113068991, 280.03308369972467, 280.87394843929155, 281.27838035264404, 282.84192664227828, 284.64382553931353, 286.85474573560657, 288.11443900467259, 288.88241756259646, 288.93090983227665, 289.90732952603724, 291.37528437062321, 296.46017947940959, 296.82334073664504, 297.07246705827384, 297.29546005914136, 297.99575721467096, 300.73261258346281, 301.54471860996227, 303.07385893351682, 305.38270489686732, 306.15813605354123, 306.41506186178856, 306.51341286599472, 307.21581139440366, 307.51988707334755, 308.16043311441786, 311.23700334178091, 313.54658966353117, 317.34298926777723, 318.24019115811006, 318.58578107801094, 318.62576713577238, 318.65215561156657, 320.94302643821607, 321.36459717653827, 321.64268886003947, 321.88714796554922, 321.97142915612585, 323.54865992836795, 324.12283172324294, 324.54088956214792, 324.93186678684663, 326.08544406893594, 327.9677599202509, 328.99225000209771, 330.50525021112452, 331.48720918508457, 332.33232759175041, 332.74614390108223, 333.95088234969569, 334.07202362892735, 335.20870580926118, 335.65535121010038, 335.84284969444712, 339.27842173706887, 342.10310264764081, 343.94922745141804, 344.29542012718741, 345.55523235707938, 347.47672395866329, 348.27770284712153, 350.15774919218967, 352.76699473610466, 354.65690318749603, 357.01534746036322, 357.13875315402566, 357.46155961639732, 359.27895569820259, 360.05130562805311, 360.14650567828198, 360.98746152453316, 361.84956501936153, 362.14308607604107, 363.41163616676681, 364.04592707910928, 365.02894647399421, 367.4786096396702, 368.948588618619, 369.5462537531094, 370.14256204724012, 371.22682722612751, 371.5324988687542, 371.75435333948832, 372.08699710585353, 373.46603698273435, 374.65149341629916, 375.61252326223632, 375.88240946152536, 376.05800597684595, 376.94257596291908, 377.67643966510104, 379.23873669426712, 380.94591378998643, 383.39493910879719, 383.99190371818048, 387.2211495067337, 387.38048460254521, 388.94905447308201, 389.51276352090258, 390.67418714344547, 391.5437955015683, 393.18380620373529, 394.2833350569785, 394.51484031486257, 396.23877660986159, 396.39859745096584, 396.78286773850652, 396.92824894843312, 398.13228608282014, 398.1986635919539, 399.57432462650326, 399.91329532313034, 401.73144368480894, 402.30883716123691, 403.33048877234307, 404.2973347817009, 406.04552711855564, 410.19896056796983, 410.4590468384917, 410.78637667722694, 412.7493857757043, 412.82383113490715, 412.92290128059312, 413.41150717617955, 413.69931336825618, 414.06490146966786, 414.42275796391016, 415.4054257815535, 415.61953088049722, 415.89047308237002, 416.14769563279572, 417.9674585174418, 419.30456474921385, 422.07784316643574, 422.22190207768188, 422.48633239642828, 423.08680998653927, 423.47867675152469, 423.52374729404994, 424.39895978871112, 425.59416861571901, 425.88432456941194, 426.18863737723501, 426.44537799355396, 427.65053198436055, 427.86851065272657, 428.25824266579355, 428.29822217869736, 428.8431499405815, 430.06553831002014, 430.83886115751784, 431.14691106005745, 432.52147645309083, 434.07926741282074, 434.77995321497843, 435.40333123153783, 437.74987251283153, 439.21482630530568, 440.50960934023942, 441.1220649173535, 441.72736267519144, 444.18900426919106, 445.57498857904363, 446.72689053968355, 447.76036776127961, 447.93754929971408, 448.12632376893862, 448.20836590931583, 448.34830799090344, 448.98939710797879, 449.61813731605559, 450.58834979419549, 451.33020683548375, 451.48454748186367, 452.37095417734918, 454.02898627377812, 454.63097044476535, 454.81844105642404, 454.85161041000646, 454.88779627998213, 455.60274128963187, 458.17969661330727, 460.71746670450364, 461.04279314501076, 461.24104654552502, 461.29646880702035, 463.25533720592489, 465.74189601789612, 467.44049910447853, 467.83506929012736, 467.91958154047637, 469.72422103445228, 470.81764112161153, 470.94621530252255, 471.22056656298963, 473.31379167812031, 473.47387733579501, 473.50285483771995, 476.0517255634781, 477.56911947434855, 477.69181825947561, 477.80651684776274, 477.96127718069278, 478.75496577234088, 480.1904734947102, 486.20874766393206, 486.79978385643273, 488.70426752510372, 489.24357929244508, 490.66344832172007, 490.78663846521749, 492.6267729712128, 492.95201417210626, 492.99727945853078, 493.10918843905989, 493.65600604210124, 493.87670329300232, 494.70302185833395, 495.07849206628055, 497.25714205913772, 497.40472878545205, 497.42566659964973, 498.00529785919878, 499.72101850443033, 500.05757473488649, 501.43098539267817, 501.59228655508286, 502.69014276211681, 503.70689696929134, 504.70185100384663, 505.29872915317958, 508.17843821087558, 509.23473363348484, 512.21791060607541, 512.2456131601673, 513.19140921359065, 513.27971963099162, 513.48110886721668, 513.59517694386307, 513.82255263920922, 516.25478292328057, 516.3781294239509, 517.91256065421294, 518.09416920531703, 519.03772181142324, 521.08586143852096, 523.40294402676875, 524.81864748929081, 525.25658458097894, 525.91390476313131, 529.33784303073878, 530.51287091634572, 531.77744651016758, 532.16589101167528, 532.88684449555308, 532.94944368755432, 534.13924114866336, 534.5449167345414, 536.14417184273623, 536.35035122149338, 537.71174999952927, 539.40742267255621, 540.92715324911853, 542.583397703483, 543.24786055340496, 544.98795810786805, 545.12650220743308, 545.43695499087096, 545.5148150186393, 546.33807345283378, 546.87958394653458, 546.97108405392351, 547.13933753070432, 547.18759537598203, 547.96709740298218, 548.00404795042311, 549.05388407851308, 551.51663140646303, 556.31796263006015, 557.00465397299456, 558.57121035477769, 561.80688481581899, 568.81362900748206, 569.24127046973865, 569.46291924695765, 571.43783344412407, 572.86814373708899, 574.32854959246674, 575.72254012036831, 575.9723637912814, 576.13583943379047, 577.69100582807971, 579.81829300983748, 581.66726158991401, 582.94743018641122, 583.37514823104436, 583.86181837644472, 584.95606835339947, 585.28763312717717, 586.24354206987448, 586.43037816274602, 587.29521304936782, 587.69521307375464, 587.74640057516456, 587.93601208824168, 588.18734653222475, 590.4024842234669, 592.1031540674245, 592.2100061303845, 592.87870784710378, 592.93960785154627, 593.68225639106481, 594.97935806032558, 595.57635420182839, 595.6132260137764, 595.8049783374621, 596.66149216258611, 597.86996425715586, 598.12163581686923, 603.34986033531106, 603.62318382385286, 604.62267081915331, 605.95248464592351, 606.18507951639936, 610.74245565974218, 610.7797198632519, 611.20473743721811, 611.62087268815401, 615.03898237358021, 616.70017465261867, 617.40485556696046, 618.65588303426375, 619.60420788664726, 620.19930875299337, 620.92411912211332, 621.80563843081234, 623.42151408616712, 624.17421150707685, 624.89938723627233, 625.32592367959114, 625.69754725615053, 628.86705982543322, 629.46713546079661, 630.0382718299669, 630.72188188635153, 630.88713919133522, 630.92091882925911, 632.20766648831955, 632.36776288122633, 633.63794692300621, 633.83702284911749, 634.17640427767094, 635.23268799432913, 635.27382095561563, 635.80118545446567, 638.01549175719515, 640.10722029690578, 641.4062504405656, 641.57127383399586, 642.91737854517805, 643.14626955873825, 643.57522419302461, 644.12975940245974, 644.2887626976235, 644.64539500782723, 645.39043444851279, 646.94684986500977, 648.84841405251973, 653.54816495908756, 654.24860368231509, 654.82351688196513, 656.58767240328973, 656.64641662897134, 657.62544616730099, 658.31039151379059, 663.02230455546442, 663.35423299429681, 663.69290857483793, 663.93343381358, 666.93447845075866, 667.46015094501092, 669.553421878054, 671.45661105702584, 672.08071377601505, 672.13468020813264, 672.51104017201658, 673.56900241714891, 674.62934530874895, 677.3001863014955, 678.64954189006164, 684.44761770015498, 686.27204674820121, 686.62672225235883, 689.23919492437324, 689.46217740265877, 689.5106705832734, 689.99401443374086, 690.95824221303258, 691.93460783483192, 695.33431773936172, 695.54691465520682, 696.39606316594859, 697.66687013795377, 698.82284905993026, 700.07316390808649, 700.13304063931128, 700.16447821100189, 700.89014665075649, 701.35095292103142, 701.7983798096011, 702.8841715581118, 705.33615093472065, 705.52561843945557, 707.37960867576817, 708.8762075052141, 708.919008217027, 709.63770356847726, 710.8190957262899, 711.24934131685063, 711.31607574192242, 713.09794289449439, 715.80388369596551, 718.46070096638095, 719.88935405911002, 720.86386642040543, 721.34864229238553, 723.44296066794141, 723.83198946689549, 724.55276722642839, 727.72586198059173, 729.06163112273691, 730.4767244072799, 730.86241703697419, 731.17566234236767, 731.69703556562831, 732.56100625884858, 733.89693585831935, 734.39613240284973, 735.56409242817983, 735.80463015403268, 737.45742539810965, 737.82851967764077, 740.47574362114256, 740.86248683590634, 741.40590887509131, 745.56570188458261, 747.93418673292274, 748.60273764189446, 748.86745992233614, 750.49787798846023, 751.45003077904857, 752.88980502902643, 753.55816990700328, 754.45217085120703, 756.28220783150664, 756.31058961489941, 756.51778268978103, 757.34614675523096, 757.78134785677776, 758.08689858075036, 758.32006996778352, 758.61233038111061, 758.80931543491215, 759.22128653373909, 759.34864524286422, 760.8712899531962, 761.68818859732971, 762.20360133937106, 762.393154645908, 764.97773716250788, 766.59034212238566, 768.82052445626266, 769.14027197477606, 770.33522787940365, 771.18841289269824, 773.14681878369333, 773.46293488428807, 774.6942318874618, 776.08118769598764, 778.04390327167641, 779.08902064138647, 779.84792798091462, 780.77505949901342, 781.28501540151171, 782.10416169865437, 783.26212206906109, 783.65260432230377, 784.20855648285806, 784.43852481755766, 785.35277471617758, 787.43547293914708, 788.5598599762767, 788.62580254100703, 789.15911102681059, 789.6711615504297, 791.34467049424245, 793.21161937992804, 793.34726257566956, 795.12054798160887, 795.4283242374072, 796.65137852854878, 796.96258158732962, 797.98083180679362, 798.9383435597822, 799.53357102863481, 800.13548834546225, 800.27991964034766, 801.09298214225214, 801.82479848864773, 804.99119132284397, 806.04497628198339, 806.39066421723908, 806.56010221855968, 806.70911680651102, 807.71686291010792, 810.44312509774034, 810.48452593690138, 811.25013234188486, 811.97407836603202, 813.89389570139667, 816.9445830825772, 818.7256470384151, 820.83718169106714, 820.98120981518537, 821.99431256985406, 822.39527442381973, 822.74360541361273, 824.46258690925242, 826.064866651025, 826.54982995514979, 829.450605955784, 829.72970029147064, 838.09906241769033, 839.19411948410959, 841.41051030117126, 841.6232530220974, 842.15336093761209, 843.26637027333231, 843.61207798155328, 843.66019348544557, 845.90494215228523, 847.44783568336948, 848.59881092544367, 852.91237053446719, 854.00619407474176, 854.39998693744337, 854.4852170322506, 854.73060202328327, 855.9404143956491, 857.50019838000412, 858.25802753789139, 860.1966520951662, 860.54889729895365, 861.37932911618282, 863.18466688002604, 863.90251626354484, 865.68907482308725, 866.05780502858693, 866.60466629427492, 869.30846180916922, 870.99026026687909, 871.67962988008446, 873.77009905684213, 873.84074654833341, 874.2644089743859, 875.7293205313365, 876.04370385849813, 876.39209488748565, 877.06599368698767, 879.84999543184256, 879.90468068521636, 881.56662324327044, 882.69648123748493, 883.03224461322463, 883.2313835427932, 884.10408614642108, 884.48748502534113, 889.79543317418938, 889.99923817995216, 891.03165535216681, 891.54730633344377, 892.32763437364645, 893.02919386829785, 895.00266661704359, 895.44432949231293, 895.88653866868572, 895.92786576311539, 896.08509994239228, 896.78740425576882, 897.97586499760212, 900.8119433526947, 901.11615728125469, 901.43513273145015, 902.15642863131802, 902.84516310322806, 903.57969700091905, 904.67065576511231, 907.82713235398728, 907.98281994560944, 909.85133910840398, 910.74110117850933, 911.43053426334416, 912.37009609400866, 912.84684398095453, 913.56742576899444, 914.42986949211638, 914.57145943456658, 917.25332592349901, 917.84301705530595, 918.50343581879804, 918.6882139458861, 918.78103227587098, 919.62469333444346, 919.79053122568121, 920.09942003528704, 920.20406472492766, 920.46282406671719, 920.88210301147046, 921.65696454327576, 922.04614771432614, 922.42260900179042, 922.67417457634406, 923.62803147860723, 925.41772221033636, 926.12460987836187, 927.43129532735213, 927.68005168411651, 929.00339502989743, 930.05907768884879, 930.49791004553276, 930.62685079598123, 931.37527860467969, 931.63897147231444, 932.29973971190088, 932.5290696847494, 933.51012329166701, 935.72693437410533, 936.57776608903373, 936.64950551039749, 937.46767217062461, 938.07194070778849, 938.30094708556373, 942.37787392562234, 943.58109801458875, 944.01227562344184, 946.29095259096187, 947.03331108714235, 947.61094643512592, 948.85677049078902, 949.35717371407782, 949.50372748956795, 950.73847271680017, 950.86630925969848, 954.95051725047881, 954.99456987574547, 956.44346780174249, 960.72081491857068, 961.28840911890609, 961.85131249361666, 961.88486064129233, 962.11344673806661, 962.24593476531481, 963.57708351869826, 963.83514438325847, 966.04049981441324, 967.59028468293218, 968.11595684356109, 972.47977060840049, 972.58923835145845, 974.82084482496634, 975.53219779831488, 977.14268613690115, 977.64538452167869, 977.84510051283667, 978.09268643241626, 979.55535522979267, 979.9540060977431, 982.79472106710114, 983.1009477913766, 983.69968033139639, 984.98866065528955, 985.74312780066282, 986.6948710952023, 991.29992552283306, 992.11736615425684, 992.1666754950819, 992.31153428655489, 993.58233643473352, 994.13731063710759, 994.46089215919733, 994.55013217230692, 995.45509483754483, 995.6019153569348, 995.63229781464236, 995.87003743927608, 995.99196602234815, 997.0091704140815, 998.84474640318297, 999.14419768815287, 999.42833417181055, 1001.0295394812647]),array([11.88591284126529, 11.995392296614707, 12.221262535396548, 12.461356987098469, 12.894591119231411, 13.997603618927718, 14.766103732252057, 18.232818195574026, 19.317136381816454, 21.126140262229971, 23.02616711301798, 24.011752675683958, 24.097877818667957, 24.92984453788188, 25.07559760900191, 26.005300774249001, 29.428203128143153, 29.684826818777179, 30.756462180187221, 31.059055885824073, 32.9183059505214, 32.983737916510691, 34.823312030614986, 35.63337933191913, 35.926158708126948, 38.326414382262996, 39.403139046653848, 39.82600186033617, 40.361839976528032, 41.903701837987036, 42.884022480934043, 43.308798429634372, 43.955632021007581, 44.733033890162766, 44.795487407725673, 44.914684726209984, 48.064950431530164, 48.655129690515594, 49.363882347521276, 50.108784940276351, 50.409431196115399, 51.735542555018945, 53.095262331967, 53.686108471979772, 54.538718365573196, 54.568858604524678, 57.466473588343852, 57.701953213841094, 60.079439647171057, 60.113359782621721, 60.670982799282861, 61.033262220827737, 62.193378396759762, 62.533218512422536, 62.698062515507715, 63.967556743442906, 64.01705459496776, 64.393499792307708, 64.758439840779104, 65.653173562321754, 70.373610521212626, 72.037020320506471, 72.590026368987381, 72.730211594076025, 72.777638710949688, 77.042524778919457, 77.73307938160707, 79.237758878779829, 79.39597932057454, 82.252699149923558, 82.94839626205048, 83.468712920063737, 84.178683963504341, 85.926192161152329, 87.495358790438644, 88.322122935755615, 88.669530855380302, 89.857648216859701, 90.267576627461438, 93.694785558587583, 94.240454363474186, 95.734088538413502, 99.341195025297452, 99.385579419004003, 100.83588144285972, 100.91840967518985, 104.34512699200481, 105.11591482023513, 108.07438063676423, 108.17259255554465, 110.32751338823428, 110.52254736296591, 113.73710842475629, 115.73872983128271, 115.90595169367344, 117.71643457270511, 117.89894342184277, 118.34223487175339, 120.49523865798365, 120.69739099893985, 123.56474599935176, 124.99708255886182, 125.25880001920487, 125.50232411377948, 127.70768383122456, 127.89119702271502, 128.01239309293777, 130.45701480956271, 131.75366525240022, 131.9772739315502, 132.49710182695199, 135.14201181802699, 135.5372345191692, 136.83747382322534, 136.96899251848848, 138.51825580550832, 139.73409927550031, 140.63861568242802, 140.97942130332626, 142.52495234168975, 142.89346716560402, 143.01901314355536, 143.58121940403603, 144.17972816445652, 144.8033707959751, 146.2018164829698, 146.30853603315467, 150.13853939471167, 150.75422847642236, 153.35472360411211, 154.901767542307, 155.71181855429148, 155.7790862490171, 156.8574975807914, 159.74089795703293, 163.12644410471447, 163.40045568714055, 163.87727819454992, 163.93805141793317, 164.09107403481346, 164.43186313850811, 164.58311946713155, 167.42924986791149, 167.75431931082039, 168.43179779933752, 168.80011760684877, 169.03563926459333, 170.68850001811333, 170.9328375954654, 171.04640676440278, 171.61143598354678, 172.01916122950132, 172.24198906171478, 174.66980690547953, 175.05233808472471, 176.23463803794627, 176.29290097850108, 176.40806626211767, 177.95876105591427, 180.64692234125548, 181.25510625989426, 182.55207129532917, 182.71979267511088, 184.80924065919692, 185.97169395840928, 186.91410903729411, 188.23116171440566, 189.31498575081847, 191.79037237517866, 193.24200730594305, 193.43272389388946, 194.59475773387365, 196.31337055405314, 196.6176874774344, 197.61757631083188, 198.47078245160543, 201.42805606193653, 202.20786758197494, 202.33657682042275, 203.17581375598598, 203.23419644175081, 204.51765433523272, 204.69589392633421, 206.99573307294912, 210.62565187751611, 211.08729990917189, 211.44702920700021, 211.63495385115189, 211.86773160542668, 212.18126284813769, 214.32262328276676, 214.7307720889132, 215.90671236699484, 216.50139932883047, 216.72374609935821, 217.23717257246994, 218.59567025950733, 220.56622755068182, 220.90069831253243, 222.42089689580285, 223.56054198255291, 224.34486049646978, 225.33814300029869, 226.56082021364583, 226.78298116189819, 226.84641514114594, 227.45606508106968, 228.48363134470523, 228.53451108995583, 228.82978697059002, 229.13636584841257, 230.92188389344932, 232.20068456158162, 233.88300318237839, 234.32749087032258, 234.83527434437707, 235.87664469478977, 235.93525294563935, 236.31430836641084, 237.42802525836282, 240.70009455539503, 241.07546074990915, 241.30531023541974, 241.62485671745623, 241.68041563572649, 242.11084258634941, 244.42456625417861, 245.77790979412507, 247.32431050622833, 247.40461266713726, 248.00004478300264, 248.70032247611437, 249.39802240945849, 250.17087300531628, 250.40002470120075, 250.55030359500876, 251.79203174491045, 252.59514087279646, 252.81803465358573, 253.86165497606524, 254.33180297798327, 255.04892487007774, 255.33442914870929, 255.79364191893643, 255.86754814946755, 256.27695613586371, 256.79247653077908, 257.35678135356204, 257.48648321403482, 257.71785356754555, 257.90140465206917, 258.20657588524767, 258.76939063015652, 259.5105150033628, 262.30436623126707, 263.14084820791209, 263.19277376507574, 263.44435790106536, 263.47870088797413, 267.09425120913733, 267.40938582642451, 268.86919480569679, 268.98859396832137, 270.73619467231617, 271.3256557648109, 271.71120477447863, 272.99159763948876, 273.92249862090284, 274.92103947490426, 275.0407290470331, 275.560004860947, 279.98189795062103, 281.06239494716658, 282.57300283501638, 285.46076949981227, 287.02940860111494, 288.34449341230544, 288.82079180391167, 289.50766257090305, 290.65404737393112, 291.29482119380714, 292.13808832781217, 292.87077485771846, 293.49959336386536, 294.98905785372995, 295.45942758466668, 297.64580759391157, 299.15625171088288, 302.48351987014462, 304.21296643066273, 308.29760536090436, 309.41732586812986, 313.19327804022794, 317.66404746940822, 317.88394491104947, 317.91062647085067, 318.85437811704145, 319.75193590771056, 320.09969978052987, 321.45497998841097, 322.69799895653023, 323.61855814424985, 324.1865952682935, 324.45654491252122, 326.76781759310904, 327.64669077675615, 332.16359104713581, 332.72837685523803, 333.24494803154732, 335.36512349521485, 335.84820876716327, 337.23581639849516, 338.53385523947145, 339.04284383491881, 340.49685350349256, 342.27936659052102, 342.60528975468213, 342.91094427360713, 343.99387935529279, 349.44399615103146, 350.77243275675193, 353.14900784182026, 355.32312726469524, 355.36194658580928, 355.79751273811388, 358.57637243773536, 358.99675380819747, 361.76645726148689, 362.34951756559036, 362.44012438638674, 363.05207993971692, 363.26515978635632, 367.27091919181333, 367.97303380224565, 368.7691777592953, 368.80010512104298, 368.97613533913881, 370.08622919927217, 370.37696902678073, 371.17392064543179, 372.6279994624071, 374.88624721800153, 376.90350413790384, 377.38802808343661, 379.37743683557159, 380.72350115643633, 381.14274293755739, 381.24356982631991, 381.51809864364378, 381.55030957453039, 382.39908676200253, 382.57173339857951, 383.55376858003399, 385.91987741819827, 386.75589115911475, 389.59926179305654, 390.34212822580901, 392.93812871156848, 393.17704810321993, 395.08954375864914, 397.19796425197143, 397.26203022063009, 399.1609887121802, 399.63457460436513, 400.20118596344901, 400.29093284169556, 401.33396869208218, 401.76174033216421, 402.76141877333396, 403.36776826554149, 404.03747023023408, 405.04541053059756, 406.39488283567965, 409.6934806073379, 409.9453653878515, 411.09500856393726, 411.92265295029603, 414.96878581204322, 415.38952440728417, 416.41731144313621, 419.98737353859138, 420.72741008082335, 422.7307894730842, 426.12592382870713, 426.7669857926204, 428.74442507829127, 430.44562951146594, 433.09769713365125, 433.30887838379169, 433.90386729865071, 435.43548225618895, 435.80762363046625, 435.99993861789187, 436.28525965050153, 437.34238837289354, 437.53904547992408, 437.82517666442772, 438.23801117959044, 439.25296189615995, 439.36102801071013, 439.91975833815832, 440.85999790548465, 440.98234275186354, 441.73577971684063, 442.02404695638813, 442.94311326287584, 443.4026833995668, 443.88598365342875, 445.03029998441878, 445.7305093935646, 446.95000096257195, 447.61106777254798, 451.47994244948404, 452.24575405627087, 454.11876494319824, 456.16212543642092, 456.63883848938423, 456.79358534002995, 457.0285980762398, 457.75190776438512, 457.78563788316615, 459.00590485479711, 459.93554233354587, 460.70295749746714, 463.75047684482757, 464.49192376516095, 465.08044093831154, 466.38240694923536, 467.1560367238601, 467.28731413458104, 469.38492403288649, 470.58485892000351, 471.8070780211076, 474.90923384672345, 475.71272933981817, 478.00098365687438, 480.14884751550113, 480.99841863610106, 482.25666482867541, 482.91481140760425, 485.06481375907418, 485.49071396751259, 485.81145758921474, 487.04849967028815, 489.30608815969327, 494.86989261736426, 495.43716707646627, 495.53133150923469, 496.23187480454555, 496.50951013331604, 497.10482250902163, 497.33501806799694, 497.51034995869344, 498.80661602456343, 501.42750309918875, 503.89125861717048, 504.41007311804555, 504.85310994029408, 506.25843623750723, 507.17158676950112, 507.24890106493916, 507.35900437921435, 508.65186873663185, 509.1929763748073, 510.34538193397248, 512.01037503254076, 513.39704290788086, 514.03206056177271, 515.10451904459819, 516.56773930892666, 516.87600801735528, 517.58569629279236, 519.2842143664808, 519.31218142813509, 520.55192758469036, 525.11901334539823, 526.37519103610066, 526.50551135097203, 527.77630672356622, 527.96573415425701, 528.24498595874275, 529.81575218721446, 531.91554686745803, 532.16540269662335, 535.78754112481295, 536.24695696011258, 536.61403492453178, 537.39198377086484, 538.95966091464777, 540.96972065289094, 541.31578254396766, 542.94175897112791, 543.10624588851329, 543.411099744382, 545.11115315610823, 545.38216761893852, 545.9727703209245, 546.30915504361019, 546.70155700114879, 547.89922805310118, 548.30224987015754, 549.31621998549451, 549.43168106646067, 549.70558725227966, 549.82832847697341, 550.14014001209, 550.48068327751571, 552.70872409554579, 552.74000647795924, 553.17556016511355, 555.10815166767384, 555.48573029679471, 555.69271213360355, 557.16652565940524, 559.90305749948823, 561.16466440116312, 562.37461954565913, 562.76321536912303, 563.82592025757629, 565.86102586283994, 565.92574332891002, 568.97347823500661, 569.66214765961843, 570.11907322670629, 571.01397985737322, 572.4630039284649, 572.58316889615685, 574.74063257889054, 576.61177403417992, 576.91923954917297, 581.62578269363746, 582.60822823716126, 582.71289053130977, 583.34887616197773, 585.40902512055618, 586.29526603840031, 586.58061174387251, 586.7465440688801, 587.38506134924933, 587.41462802373371, 587.46538818874978, 588.85656827433581, 589.76271549635385, 590.53382013463727, 592.62065992128612, 593.20948647026648, 593.25396089281662, 594.44167802723962, 595.64126490443959, 596.00459634881088, 599.49723430447, 600.54785339199452, 601.20622179971576, 602.31227512816702, 604.41579639514146, 604.90305194639939, 604.99280696776054, 606.49020266881598, 608.40875026320941, 608.61712821349397, 609.97062540338379, 611.88359162263555, 611.98440681593593, 614.38310415735509, 614.9358784474249, 615.1337106120867, 615.4190368547487, 618.10791860758468, 618.22533648150852, 618.4058449662574, 619.09866657180271, 619.18577272047776, 619.67345220655443, 620.65722016363043, 623.34631797933764, 623.63129770338787, 624.06245397936323, 624.88503993440668, 625.67312905035919, 626.99512153220621, 628.9707270416327, 630.41740647499921, 632.96459165972203, 633.95953368792448, 634.23676598194993, 634.89495237225083, 634.91592998405497, 636.05189964879537, 636.51147781238751, 636.76666404697767, 637.68319687028713, 639.0745397909235, 640.19047292836831, 641.03947550774922, 641.29124450954259, 643.4560929514297, 648.09418068049456, 648.13101132925703, 649.64019042862503, 651.26054301639499, 651.33676984952615, 653.11100507403432, 653.54812283070055, 654.15861300915344, 654.37061940011779, 654.80828236125899, 655.20542263322079, 656.28355873893781, 657.04181177880866, 658.48380661973999, 658.73266830962257, 659.27408923608982, 659.31357543563297, 659.75413606413952, 659.79173824267411, 660.16939073905326, 661.54859531218835, 661.94200462899505, 662.21007166194238, 665.78850240183249, 666.25495753146527, 666.46024826031407, 666.66157092498793, 669.02379473999133, 669.43039664053777, 670.74461550378271, 671.25670899455645, 671.48204627732821, 672.02047331949746, 672.13057710537316, 673.05017368799952, 675.55569099442459, 678.19800407468369, 680.88556155531262, 681.57825178637484, 683.50698774808973, 684.73583519821716, 689.44373227035624, 690.21775369374302, 690.25142326218293, 692.42994949283241, 693.28277658754007, 694.11361832612931, 694.2427279911509, 696.63708537131356, 697.68481148101773, 697.97158421180529, 701.0910307241968, 701.16447653002047, 702.06430575748607, 703.09562792256929, 703.91581997382139, 705.05355363120577, 706.2279095107034, 706.31573290828726, 706.73250687875861, 706.80738724235709, 707.50789443244707, 708.23794653986613, 709.7555139149016, 710.73882440562295, 710.87924610374398, 711.11217896289304, 711.29704186595802, 712.44095195702357, 713.00752287672833, 713.95595846544461, 715.64996611509321, 716.55026713133873, 717.7277213182914, 719.38520022187072, 719.49926023999694, 720.87464405480932, 721.32858715700979, 722.63486454875579, 724.07167165093085, 725.75266080955453, 726.20385343150349, 727.04084135649975, 727.39976652154724, 727.80833130718645, 728.54382075046169, 731.26691862782991, 731.31962119915522, 731.55416751700693, 732.21990886735034, 733.52396300417172, 735.01516237386647, 735.05288465686806, 735.36200740524498, 735.39212868775212, 736.77120483949034, 738.86246854342335, 741.64361765888214, 742.82798100906268, 743.01214128113497, 744.47901260794151, 745.36793532481011, 745.72799848094235, 748.36107645515517, 749.72670443132949, 752.97131156725425, 753.9398516480461, 755.19576007632247, 756.43444240676536, 756.84414068307603, 756.94549985049252, 757.44594006261934, 757.73099927752219, 757.93100584202534, 758.23513110297574, 760.15933460841575, 761.37598407907717, 761.92092425924818, 763.82769705325347, 764.08372033218177, 764.68393959831849, 764.89173312859339, 766.39907610012938, 767.11723274721567, 768.43607153669575, 770.71664160831165, 772.36509745677154, 772.81590363597888, 773.41984834071877, 775.82538045824413, 775.93618007418183, 776.11997989630345, 776.63588934803784, 777.99043880953434, 780.37729483366218, 782.78484835507584, 784.14798822341925, 784.28219616775186, 786.060400649386, 786.86698003401989, 787.81445929301765, 788.03089842316047, 788.53983448510576, 789.3881274331244, 790.04760899251391, 790.802100609229, 790.88126266463246, 791.0272347712762, 791.24568693992103, 791.47873841157161, 791.67279948845487, 793.93602112789881, 795.58637449669845, 796.26232503346216, 796.70397261673088, 796.74606844962921, 798.50100070693998, 798.96367550279865, 799.07972971416382, 799.21403798247479, 800.52857562601525, 800.69184458372592, 801.1951533982151, 802.10412245219072, 803.02413119684059, 803.30009911134709, 806.51734428236557, 806.75733302950766, 806.84078704402532, 807.42835307512928, 808.30262600197113, 808.89712808658874, 809.82546250178257, 812.14351842114081, 814.24785684564415, 814.59389720972752, 816.60750733620921, 818.77970509343061, 825.21666114500329, 825.46586576052596, 826.01915551944751, 826.34984734312059, 826.37212954446215, 826.41088726376472, 831.02255618653362, 831.36105414447184, 832.80749496810324, 832.90727710567319, 834.34018903993808, 836.47101222417166, 838.75916750421618, 839.40532887722236, 840.03092011738443, 840.58185166144733, 840.77961731934181, 840.90745367754073, 841.17938311170462, 841.95084752508353, 843.00703990441809, 843.12414001413936, 844.78702979802256, 845.61215649792246, 845.6740687982923, 846.72232073590112, 848.45652010976823, 848.57861381012287, 852.90501869790864, 855.27195502950133, 856.6163491736188, 857.02594757508518, 857.96283209002058, 858.96955956532133, 859.93130253902996, 859.95643689360622, 860.18135102270082, 861.02195906307929, 861.05853315026729, 861.36884238840969, 861.52749001173106, 861.98191458247675, 862.48394193356035, 863.79233324076722, 864.1478940361543, 865.67054027557674, 868.10054242883086, 868.42092320595043, 868.63327064945997, 870.72624267295078, 872.72897466742177, 873.99174671689934, 874.39668928154924, 876.24638401895209, 876.42185351360285, 879.39800488435696, 879.91596049462851, 880.31442909272448, 882.36696330454902, 882.46070495255515, 882.69365331696383, 882.91906058945062, 883.4184994212726, 884.29283868325138, 884.6057511290212, 884.93202804585815, 885.16910216059159, 886.68821226921102, 886.92277648406559, 887.04465848968675, 888.15972707882963, 889.72210532611348, 890.38016096708225, 891.04014294343369, 891.89614669429398, 893.34853124509357, 893.41128566799318, 894.42242957793837, 894.76702839829761, 895.80532377609109, 896.75901590360013, 899.69195200627439, 902.39922751683491, 904.02857803272127, 905.14209734867779, 906.68904231865497, 906.93016250698236, 907.64754674481901, 909.81985447577563, 910.04825283682612, 910.14014615754115, 910.17003094831944, 910.55292896274409, 910.66489047964853, 912.80407851019731, 913.84561118753311, 914.34739493600023, 915.01300850881159, 917.19143906708871, 917.69425518123853, 919.40888367417779, 920.62593517551613, 921.04394557316721, 921.06680121530292, 921.72390834667601, 924.09447955801193, 924.59984647338365, 926.29763950526501, 926.81782990047884, 928.0941746434213, 929.79016251167718, 931.94673538596885, 932.31691864983293, 932.49109035460879, 936.43173725283407, 936.61565076958414, 937.59395230593236, 937.70175805408633, 939.58765195007857, 943.78125949743628, 943.88392892514423, 944.29622587946812, 944.82964457544654, 946.87230818156422, 947.60772543555777, 949.06331366391942, 950.58178833753777, 951.71473118843892, 953.94419691725977, 954.84919023920759, 954.92603552692549, 955.92672009940543, 956.50233677045981, 958.97009564179461, 959.77112761849332, 959.95713968558846, 960.59968081898955, 963.13654831872589, 964.1712688614507, 964.99450516698471, 966.39131032033993, 967.86127658716009, 969.90229010255212, 970.52997033650615, 973.8769062724549, 974.78836752436132, 975.12875880374054, 975.58411527787439, 976.22341310371212, 976.47281048205696, 979.50528202701685, 980.22648506033954, 980.70848814234864, 980.97186100017029, 983.2625830565039, 983.38961762268423, 983.87324082640941, 984.73116788419395, 987.26268470084688, 988.5574156454187, 989.50602163038911, 990.2639151455196, 993.40833908674597, 993.45226534207359, 995.49763746013821, 996.21336393589218, 996.62515885392554, 999.93111292457138, 1001.8871533370442]),array([45.615769516617796, 46.980844420913741, 47.224952393751416, 47.256101675602963, 47.654389128231621, 47.707456022207303, 48.826588293242921, 50.268191097249179, 50.488668676172985, 51.301787980386287, 52.639356344386258, 52.681940895614382, 52.864926388941953, 53.817380987743917, 54.486042882021692, 54.741476375805476, 56.991429726372303, 57.704881418195562, 58.583662011736024, 59.341787399677834, 59.654732728004127, 60.900548227964087, 61.867732305936741, 62.329966511697343, 62.493557882016113, 62.862997708751926, 62.920592168369353, 63.234852969057421, 63.514863465362694, 64.554721070115733, 64.850349264098682, 65.433312408177585, 65.468559779651301, 66.27521483242721, 69.215414504412621, 69.733112986594719, 72.287503106461514, 73.289953941726594, 73.774761495945654, 73.941638849789157, 76.248530558814736, 76.421788438870934, 80.442635073924649, 81.53652738898802, 82.507272065020544, 89.571238203429274, 90.791172608723329, 91.612501700520369, 92.957998335459806, 93.1072904841878, 94.349617161048315, 95.533668609313139, 96.373797275918236, 97.44912138772105, 98.265027918143119, 99.643514311245582, 102.46819261354212, 103.4749917623445, 103.77091676391352, 104.07076105759418, 105.05140540070479, 105.76577787027149, 105.9211307665613, 108.1736120336478, 108.38556944183387, 108.74170688076173, 108.96617276579882, 113.9567491224019, 115.56656007867471, 117.45556476079003, 118.60756020809102, 118.84577147791083, 119.71900931075314, 119.76282262735671, 120.28038226801571, 120.5238356184196, 123.06662450918827, 123.53756427149557, 125.57735673744313, 125.84721785781366, 126.33978910022211, 129.68755856162306, 130.3574162138396, 132.94545163072098, 134.35168335585672, 134.69940767567428, 135.43447525948352, 137.34019537661987, 137.66083286692177, 138.64282038594794, 139.61176127933734, 140.03632196522554, 140.55611646704295, 140.59299765811107, 140.78135967621216, 141.44757600050434, 142.60358429774675, 144.65851040297389, 144.79939936342348, 145.56046072700889, 145.80582489700276, 147.9757288825387, 148.43342657187227, 148.95762163552254, 149.09173961704425, 149.50697885398523, 150.47693831685208, 151.11641985816664, 151.81844566816142, 152.23530844439833, 152.42106616921163, 152.78711772225171, 153.55485078777775, 153.6552834621582, 154.24780230416076, 155.62372640932804, 156.10246276048508, 156.6471050719712, 156.89072388996763, 157.30216290593253, 158.0102156699682, 158.39263472138256, 159.27515068447593, 160.69546928794975, 161.07852718542537, 161.35398708107152, 164.82525657885392, 165.90705023215199, 166.99523525573238, 167.55971750074474, 167.78829680095441, 168.19210723360649, 168.38073312170872, 170.72120675336632, 171.48176206679852, 172.50463173293826, 177.99268255334616, 178.12255482401324, 178.23246875992143, 178.60581955998742, 178.89995647307347, 182.406061072558, 184.18841808927343, 184.79149579590074, 185.16693699899895, 185.84128030806733, 188.42657230842707, 193.4483088814861, 194.50207435353687, 195.71176213162389, 196.56461638269502, 196.73883866610643, 199.01992641322352, 199.40574884575702, 199.83132025254122, 204.50472255562045, 205.28643253718178, 205.86612806172056, 206.31409446073394, 206.95393431842703, 207.41059836067396, 207.50209033938214, 208.49107332980105, 211.95510708564407, 212.61430418076287, 218.17132386155964, 219.08151431672852, 220.30400357401331, 220.49943576219204, 221.84130316361944, 222.32543152904321, 224.66335568175782, 225.28813438062602, 225.83698514438689, 226.17494929481254, 229.75005269277852, 230.99170904911665, 231.26089911263441, 231.3333231875848, 231.64131166264463, 232.11436499043688, 232.97979853178222, 234.44515447857623, 234.80710895077851, 235.48762528527709, 235.97935232252226, 240.24207960067559, 242.14534501679839, 242.57982896522395, 243.41099743206951, 243.48066308650479, 247.73514456006143, 248.21402483125593, 248.34253494607154, 249.02167553811142, 249.1579266708583, 249.33650007835129, 250.71079003937365, 250.76295059385083, 251.19152052084539, 251.80034496553321, 253.28436784015068, 255.11948086945571, 255.25143993165449, 255.32037877086157, 256.61856133817906, 256.80842970945406, 257.26802327925265, 257.71690555385851, 259.55026136494308, 260.2082968140582, 260.62722596315967, 262.7576462995919, 264.1431884214291, 264.94691535569132, 265.14572410621616, 265.23116614006932, 265.67591975249383, 265.72490746538574, 265.87999282348375, 266.00768432053758, 266.50837132061145, 266.66575544579854, 267.83599112461485, 269.42060961550294, 270.53552735482799, 270.68646202213733, 272.55276854633343, 274.01394278439176, 274.13571728336382, 275.42413448685483, 275.56222963286984, 277.07673071224775, 278.43759602905931, 278.96190380636881, 279.00572258356732, 279.4460528154612, 279.83160632722735, 281.64490223417118, 283.85184602352552, 284.99988874559796, 286.05829100222525, 286.14409556294373, 286.85352988020736, 288.42118095252147, 289.82172094032057, 290.18454964198696, 291.08334415480579, 292.12510362766784, 293.26573532709739, 293.34938860520811, 294.08299568989048, 294.30876304083199, 294.75415207879462, 295.2060513282118, 297.36163623004416, 297.45154060424221, 297.77043649091991, 299.19236071102915, 299.35221065804922, 300.62381013431582, 300.99222743111591, 301.2268784060106, 303.17650019375691, 303.31534910697115, 304.13487929975287, 304.48775205966643, 305.07261908902211, 306.70144873166606, 307.11189610139826, 307.14775614896928, 309.70747573097225, 309.88883337797233, 309.93077988340593, 309.95830706696358, 312.82458838212932, 314.407007661438, 314.91671115947855, 316.10783179962743, 316.88310754295026, 318.54021242776219, 318.89439175967669, 319.02118402248351, 319.69091105938071, 321.90237456988405, 323.32439874372653, 324.77659464289331, 325.14427116030635, 325.29822091851929, 326.94160509369283, 327.62472398417265, 329.14604272277239, 329.64790401000681, 330.07925110726359, 333.41180349882796, 334.14782118449989, 335.05853080513339, 335.10944856138826, 335.30659130305202, 336.97940090137575, 337.39882331679695, 340.75978346885609, 341.23868039136391, 341.34578686138536, 343.13959781308273, 343.36369150051468, 344.20809892783012, 344.54237475679344, 344.78977119886275, 346.19541612272849, 348.4258266572856, 350.10732364587659, 350.20352868718891, 350.64763597947484, 352.27414772172858, 352.5780780336994, 352.80228530159627, 353.19103559359166, 354.74547570637628, 355.27063527972626, 355.617267456192, 356.59174892003102, 357.70890689326353, 359.13211085720098, 359.22589911441025, 360.85900041572728, 361.80261946110727, 364.28227489511983, 365.20462149684897, 366.71979177425936, 367.49632054086072, 368.46415567066794, 370.72946488446877, 370.80144641128811, 371.30813466954328, 371.98200638615981, 372.88546012411592, 373.15647460780008, 374.02228532146256, 374.53270335548524, 375.45903355053963, 378.08892257216536, 378.50929393388935, 378.95154180855548, 379.49438120017555, 379.80162674738466, 380.08451364594441, 380.2963178519783, 381.09673502523674, 383.61735080995908, 383.63955975252856, 383.85122477587271, 383.88478657303773, 384.86180163825344, 385.94032974391718, 391.76665674916381, 391.78674174664684, 395.17164279575252, 395.54798256761489, 396.13192486400658, 397.14299735338568, 398.41542177445342, 398.88735282934454, 400.69774934284322, 404.66727437754429, 405.11684487411202, 406.12426309452695, 407.74338696638074, 407.89637436268208, 408.15353108817249, 409.42851036820713, 409.70764387075974, 410.14984236427466, 410.92395547171174, 413.05452451125609, 413.19867768714846, 415.77164111619442, 415.91820184230079, 417.29239927899357, 418.88703963170775, 420.0710950301102, 420.94540718167303, 421.28622376504654, 423.34617005723732, 423.62500339442414, 424.61149113197752, 425.79340655264923, 426.81957041788473, 427.94874014068358, 428.40746765697816, 428.71578538196007, 430.02244206124755, 430.20358564964613, 430.41901032808119, 435.00411774766013, 437.87212571166697, 438.52960425873027, 438.59787575177552, 438.71413914534998, 439.95810942798823, 440.16297080931628, 441.45282289370709, 441.85802801722167, 444.13026846108028, 444.79802519738166, 445.09383525643, 446.62057853321784, 447.45124620772089, 447.63904337041532, 448.80537083029236, 448.90480565901402, 448.94862079604178, 450.80071229556921, 451.47418675385592, 451.65750567358521, 452.39726168115038, 452.5304931731755, 453.03702774690748, 454.69607540380628, 454.8391954753892, 454.96978920231749, 455.20595321475287, 456.95437665363062, 459.33014377044947, 463.41245896399238, 463.46172120992583, 464.1248395189163, 466.65634209930869, 466.99073678015878, 467.53808700081208, 467.9063446357406, 469.72258646580258, 470.54660016663843, 470.8037975264823, 470.9810101839123, 474.3775971300692, 474.72750205674134, 477.69266478549201, 478.39777840188839, 478.82004528966598, 479.92091275668554, 480.06545335792049, 480.14818391427474, 482.33736454108129, 483.22031118403549, 483.26267910174249, 484.15413569363176, 484.65563969766606, 485.13143051501885, 485.25771636522109, 488.16199581048261, 488.21222628806703, 490.42921165333445, 494.65261778665882, 496.42240221190065, 498.9425493112077, 502.69420209663105, 503.55955468606913, 503.94833345071345, 507.01746336342734, 507.17515055435456, 507.28803112526651, 508.24966832508875, 509.70132373458165, 510.07327587709455, 510.49319380406865, 512.74333280618998, 512.77305199141142, 512.89023154023209, 514.45996485310036, 515.10817933297028, 518.19769474827194, 518.68812136786551, 519.23571281769625, 522.32624270246424, 524.27112130953265, 525.72715751533019, 526.53154807321152, 527.57267656111514, 528.23028541711835, 528.76526831666104, 529.97490853290662, 530.56962981210518, 530.87258797377967, 532.85566877548899, 533.43890371814268, 533.87740777245574, 533.99946149418042, 534.39746709668555, 534.59477899018395, 535.30664395867041, 535.620146748607, 537.19997267570386, 537.9435921800665, 540.59651019023158, 541.70302258430513, 542.02776256663742, 543.08173879220283, 543.31807539682802, 545.22970945196585, 545.74069444354268, 545.99269867075054, 547.26459008901065, 547.56022967190768, 549.28089940902055, 553.32679227441281, 553.81529670962141, 553.89888715807717, 555.09467535515932, 555.74663381072185, 555.87173415937082, 556.14599873611166, 557.19769634785143, 557.33372991150463, 557.45609989928425, 560.22538947124178, 561.66091521628732, 562.98255109789102, 565.24893077120635, 565.41476132840262, 565.53819034186336, 568.40315405200215, 569.02586881640741, 570.78116805309185, 572.17141516309391, 574.58428141381057, 576.71379130556647, 577.42557646332637, 577.78147303065259, 578.58604707488416, 581.37177222965488, 581.52734490866828, 581.73410002184846, 582.01171696082702, 582.03227406760482, 582.87858437762793, 583.52630145330409, 584.01523659434156, 585.72928386333308, 585.91639650300556, 586.23617495088877, 590.76526852240147, 593.01272560456619, 594.09853676428384, 596.33693649751581, 597.19144680835029, 598.46960755027851, 599.32766958352249, 600.96559874660318, 601.49733143271669, 602.22477213559182, 602.53226109983927, 602.56040060456144, 604.25260158878609, 606.94124078447271, 607.67687068382838, 607.78752336768036, 611.54814346773242, 612.25203980197239, 614.79975487506113, 615.36726328010911, 617.24701894429097, 617.39462305844734, 618.82218374168087, 619.05615674399166, 619.34742034233261, 619.93939890111017, 620.87575214835226, 621.47626061036931, 622.63460434751926, 623.75821087760414, 623.92878861431086, 627.31532501353888, 627.44410048542352, 627.49213225162009, 628.41646957509693, 628.71866789110572, 628.91877355973008, 629.21209399526003, 632.76287305933545, 633.0649005215148, 633.27742349599589, 633.62520337089677, 634.99958570527338, 635.46080750446868, 637.56192410963729, 638.14594694498976, 639.45340191400112, 640.52837468197038, 640.6277693684516, 646.24403414074595, 646.40996723635499, 648.12779872892963, 648.86849580491196, 649.24420176532169, 649.77366285218977, 649.85057417514679, 652.30567036630146, 652.68129016270427, 652.84768629453674, 655.45697204744295, 655.6527599088447, 656.50650053656659, 657.95848268572922, 658.74150165875437, 661.16995601661029, 665.22770645178275, 666.2739240605157, 666.69903886379984, 671.02692081383725, 675.32928502620041, 675.50020427131437, 675.66899719430921, 678.12431997769988, 678.63792357721411, 678.66028549305531, 678.76404170595936, 679.78611339435577, 680.42349610172346, 681.1573694033367, 681.99773360112192, 682.84873856355762, 683.29910025846152, 686.74157615363492, 687.17283519069258, 687.30064875511357, 688.0602424355011, 688.59550060282936, 689.86106105691908, 689.93061874360137, 690.0639004664439, 691.06181854658439, 691.10971615724065, 691.72804033795785, 692.66631569261142, 693.0520096958428, 693.48604886725491, 694.14119826596357, 694.42300946554337, 694.46009251056455, 694.51342627960832, 695.39354650877522, 696.37233176462291, 697.98495156399713, 698.4743015738444, 698.67337648491014, 700.94370536382712, 701.42354367350856, 701.5742290105643, 701.7597967477252, 701.97555935116497, 702.65639619685294, 702.72273117017369, 702.91243519474972, 703.14587181263641, 703.75380802723771, 706.00855070418061, 706.23598854753482, 709.04076615090173, 709.75399410791624, 709.99897264348431, 712.3438697751659, 713.43890998567758, 716.15454883015457, 718.5512046304292, 719.26896063639936, 720.8316925191624, 721.40564831746246, 722.75274517512867, 722.86788742145086, 723.0667782728101, 723.99208939153084, 724.25215587386288, 724.55560876247444, 725.0101105929424, 725.24981962408663, 726.19440123787217, 727.3334353700219, 727.8039040210947, 728.87496097802637, 729.28391741642179, 730.71691733841647, 730.84474787925205, 732.12929262739522, 733.04469067151774, 733.26108953904782, 734.97580798146578, 735.11512905869176, 736.74933771017538, 736.86700792688328, 736.9497639564139, 743.68702123741525, 744.46655533652461, 746.00344211652691, 746.49695178309321, 747.02798436798298, 747.81517994296189, 749.09787252303636, 749.84641798505515, 750.40386055722752, 751.31536935768156, 753.2758127946372, 753.79433282925368, 755.08184410211516, 756.8339287177497, 757.12160856349749, 757.18132492984807, 758.14969088292742, 759.39692172211346, 761.49190890308239, 761.86373931249489, 761.9356291700044, 762.53159080920079, 764.64900877543516, 767.85067435306496, 768.09891674236007, 768.33354437283231, 768.59975792722526, 770.17775716340225, 770.45667893148027, 770.57596853126461, 771.29927464663172, 772.23597313150049, 773.03549240504321, 773.05922672862698, 773.10498839548563, 775.14828165078927, 775.88324959650288, 776.14491833164709, 776.45004736918213, 777.57651871386236, 778.43522490607393, 779.0875305911095, 779.83203592534676, 780.02256266106315, 780.14306434350488, 780.97655360593637, 782.28172719265785, 783.4528394953544, 784.19178261822947, 785.14578599669778, 785.68106104492767, 786.10495213427714, 787.14976059602895, 789.14854268543297, 789.72081539438375, 791.30152280378161, 793.83398205288393, 795.87945347944571, 795.94436863889348, 798.16449405624894, 799.81981240958521, 801.04884858775733, 801.59020099744464, 802.21367179549077, 805.63512365198892, 806.68832355703898, 808.06083346281332, 810.74085479043504, 812.57867939552887, 812.73729533646133, 813.40464961769555, 815.35925989190923, 818.12840594007855, 819.12051803895861, 819.15629723490213, 819.73812968112509, 820.11062263927317, 820.42424516215738, 822.47119518993406, 823.84835088635441, 824.97491521593781, 825.19907975797651, 825.99122942618362, 826.1797909955427, 827.44046410236194, 828.97220542560331, 829.07372778350953, 829.36668202311773, 830.27768598634248, 831.73755088759754, 832.77097945025366, 833.97100548968126, 834.79582052501439, 835.18873474905911, 837.05500369822607, 837.94040646692702, 839.54934404541063, 840.60532867121412, 840.67459162876196, 840.71746097612129, 841.01937184571409, 841.88052152769069, 844.63012824756231, 845.63808231556482, 845.79440697085522, 846.005415299981, 846.16415203076099, 846.71463666312309, 849.82914323992827, 850.11032761576053, 850.42138776965999, 851.06409874243639, 851.6235322669886, 853.86123695904382, 854.61821464267371, 856.91264805937647, 857.06961405473464, 858.05834536107807, 858.1643172033979, 858.20104780591942, 858.69417472918599, 859.9030749337968, 860.19629193298454, 860.77727552921237, 864.79193784113181, 866.32015870600492, 867.95992802363673, 870.76941074292665, 871.77954995011612, 872.70393960349327, 873.62207050329073, 877.82595351721739, 878.72037898261749, 880.28955080169646, 880.41268922018105, 881.20511697908444, 882.0990183492197, 882.25760572058402, 884.86183116788595, 885.41601930491527, 886.40248393220224, 886.69953684025381, 887.0813886186063, 887.1258136363582, 888.018590679976, 888.38748047321087, 890.10836994027659, 890.76123710050467, 891.13636312677204, 891.48858005227021, 892.28237805367712, 893.71937355342322, 894.49963416195874, 894.71324554511216, 897.02875922341707, 897.13014895432252, 897.52554474027443, 897.55223601786452, 897.67186308654675, 897.94146933336924, 897.99845007109911, 899.72428779434006, 902.61135437610517, 902.96783851470821, 903.42964603005464, 904.74765636542827, 905.26191066728825, 905.38901582063215, 906.55660326158727, 906.79728203829632, 907.59483291723188, 909.91811473367284, 912.76372440246826, 913.1917234790368, 913.70926564276556, 916.54822989201762, 916.84253759386866, 917.26421697217222, 918.43368970052927, 918.86505089348748, 919.35321218609931, 919.61299736180365, 921.445151790968, 921.56340187919182, 922.10531790185132, 922.81104022507725, 924.25098342997342, 926.03374775912619, 926.17555931275797, 926.62311855606163, 926.64774437137419, 927.1549473955431, 927.98945096745695, 928.02504350358151, 932.11501700523377, 933.36913097280944, 933.63586746324802, 935.89952889404037, 937.87836407588793, 940.76690272616941, 944.3887802575664, 947.24318148153986, 949.43636564413589, 949.56351370532002, 949.94478850548614, 950.06383802458572, 950.90771190379098, 954.55497249569476, 954.80909473228803, 955.31634541054643, 955.44219671394535, 956.0452445975335, 956.94486465076636, 957.54728389088905, 958.23540816745731, 958.35447960107547, 958.69042511943633, 959.56199009787645, 959.60825486668136, 961.84857393572088, 962.0492190687512, 962.36867433183693, 964.65483948536928, 969.05950499225389, 969.21034759459235, 971.70690276002608, 972.24265080672831, 972.48104325527663, 974.13514809755543, 975.82420997167685, 976.04593779405695, 977.07629632150804, 978.96037178939321, 980.98424755422536, 982.13241838638601, 982.46643087880159, 982.54835243280593, 982.60807419162109, 983.83630620603026, 983.89368171724232, 987.38248830564976, 987.71367520779063, 988.66946262368765, 988.75581909084644, 990.20932557494484, 990.38869306734398, 990.98847910088477, 991.3908196260586, 991.54237558159537, 992.47186242328212, 994.06659056636499, 994.17220633705801, 995.84701265157071, 995.93454289808699, 997.04674679614413, 997.21696314033943, 997.98652870900401, 1000.0141471840155]),array([61.367541717485516, 61.959857143103349, 62.028200570427785, 62.762432363441192, 66.91542776142343, 67.147350086453429, 69.373065638800014, 69.642960501616827, 69.672806708237985, 69.931354648266591, 71.360693740654554, 72.256194482061233, 72.53887181159277, 74.946978540923467, 77.921088483866441, 78.269291244122741, 78.593313273563581, 79.984333382448739, 80.099730943237674, 81.329863348091891, 82.004384247006882, 82.384585249526538, 83.078220289794544, 83.516785645910389, 84.673669510837414, 84.838515763142709, 88.536790633342932, 88.974391408009325, 89.402438135885532, 90.947315946952841, 93.988202256818582, 94.203234361858648, 94.477872474346412, 96.198927462336556, 97.176437489092947, 98.762845661275065, 99.47417855509228, 100.37026960880073, 101.30622882154829, 101.42941130025392, 102.56829142663359, 103.50388502784736, 104.56015789286477, 107.50474227132347, 108.80235612707676, 109.57602745921072, 110.72957410857144, 110.84802093507423, 111.53574081918595, 111.68592790824727, 113.26540800651291, 113.72809948457446, 114.28998979617157, 115.72035762804126, 117.20308713787334, 117.55664007601315, 118.54599039482703, 120.8589208997809, 121.40691721843146, 122.35430008458761, 122.63433126429352, 124.18498785494553, 124.29216857521524, 125.53060344237502, 125.71372112920496, 125.75737971720883, 126.3547510618196, 126.81899900000062, 128.37639184947955, 129.61972364279606, 131.02434287345466, 131.348398324051, 131.59007236652903, 131.68983820552111, 133.59852133798748, 133.64326758634141, 134.42732799248131, 135.81852364998898, 136.41615091262682, 136.5287936520547, 136.79396692109663, 137.09250550107086, 137.8192688938444, 137.97757641865374, 138.72804114390684, 139.30845182451205, 141.19631635920749, 142.77582114589507, 143.90596765585309, 144.54870240691366, 146.35356596445143, 146.6105576729602, 148.2724082896153, 148.90026716686702, 149.41302857659883, 150.06443646527086, 150.83703657388796, 155.13453964595405, 156.39764158639539, 157.02929734110117, 159.38887531322527, 160.08717195596179, 160.34080871592866, 160.76291149967543, 162.25280991697437, 162.39428159284131, 163.04232475021723, 163.99014394456222, 164.43824227383644, 170.31708918874193, 171.87909729390776, 173.29341810481358, 173.60499152819324, 173.64138216442316, 173.86921741562642, 173.98704551847428, 174.76419915301369, 175.1934824992494, 177.78089524392504, 179.09460740987618, 180.08540867082894, 180.74776854044546, 181.5217686738952, 182.40112923323437, 182.73104083658393, 183.08880521194308, 183.52289381361715, 184.75800882552534, 185.40288898393302, 185.60245028608006, 186.53408923528931, 186.76526455998041, 190.98423964903998, 192.30416212722139, 192.95758280889652, 195.26249343766725, 197.01890997746798, 197.63766761808941, 197.79771701131099, 198.85535772086092, 200.33315529322934, 201.44546306847508, 202.61194711145103, 204.03803252401968, 205.2601948810796, 206.33707373120023, 207.1659456097488, 207.32350888553253, 208.58761949388543, 208.94381372319094, 209.29870513156794, 209.67353759822149, 211.61619445130918, 212.32565058805622, 212.37666777999561, 212.99000178220641, 213.98669599204572, 214.01536801621896, 214.36365359670165, 214.97716493679241, 216.01379545299869, 216.90872854132323, 216.94326123456318, 219.00555471795857, 219.4964099358418, 221.31155700779701, 221.35295858510051, 223.14872558393773, 226.33442691318368, 227.21115013358784, 228.10565859877869, 228.35657452537072, 231.91644920755633, 232.73892158777571, 233.67579455082799, 234.0866604822684, 234.23267282938494, 234.794936740591, 238.01204659135487, 239.78203351259182, 243.2577545561434, 246.65440193792358, 247.18238895313041, 248.70360928829277, 249.29446715180214, 249.84973264752955, 250.32033246525043, 250.55610482263472, 250.83525010110611, 252.07756908591062, 252.45699380163467, 254.26290408307645, 254.95967872239737, 255.27029824983546, 256.46420207297018, 258.10670797334961, 259.00432139882247, 259.26826102173311, 259.57801582995307, 260.45067897559915, 260.67443428474661, 261.44453239237396, 261.5631705485676, 261.98684074757028, 262.26999986766918, 263.11641368475568, 263.28722988484418, 264.44850016071274, 264.75459907655608, 265.55673710061114, 265.68599636512226, 266.7589399985236, 267.44461259549826, 268.85313829441628, 268.96821141245545, 269.53888441454023, 270.0669464116155, 270.24302145476338, 270.81537705460988, 271.17322961189808, 272.57827619490172, 272.86578662602415, 276.68070418378585, 278.80995379779102, 278.9867482919384, 279.61708469831632, 280.6245793416403, 281.44394453188596, 281.82191717503724, 282.1254759662549, 282.29772741048555, 283.52026075544251, 283.80605132265981, 287.04083247456526, 287.81172359305424, 288.97997057019512, 289.27490919162028, 291.08867332691852, 294.23531762876144, 297.26099903209729, 297.6739184187245, 297.95019614558453, 297.98876172595698, 299.83397556335836, 301.62752214117154, 303.66401807185986, 304.07952064056354, 305.35147092828896, 307.77904526741344, 310.44842804729944, 312.31884866875146, 313.2164797208448, 313.27365711840304, 313.80701170429961, 314.00765790041061, 314.79399752369898, 315.14361464287759, 315.80055338977417, 316.04174125863818, 317.5642476867144, 318.02332156898825, 318.23818129517622, 322.41659649955915, 322.59111090608155, 324.08535982619628, 324.37282683932438, 325.49048595232762, 326.28731566411165, 326.4379124002574, 326.59593029314721, 328.4329406390047, 328.73023106647827, 330.01873595792847, 330.19241096105685, 331.69467645861386, 333.18759070759717, 337.58073629847848, 337.98681584721851, 339.9220861135106, 340.53265201305021, 340.57824575820297, 340.62000708929986, 341.80086532034562, 341.84079551465862, 343.17035182908063, 343.64071951264577, 345.04041849559695, 345.28065003425741, 345.31184462142897, 346.96529270755656, 349.70469342769928, 351.71959020496661, 353.04060828277585, 354.41024724544837, 355.37642206152606, 355.42611152699141, 355.66064671021815, 356.57621071697594, 357.69174643440778, 357.72955365260106, 359.05445190693501, 359.30273706003089, 359.34265538578205, 361.21958209441709, 361.72427873423896, 366.46834643940383, 367.07325947139407, 367.58601539112556, 368.54863116621522, 368.89528346504954, 369.75231526878184, 372.66388845971949, 376.44548185731844, 376.84854448828366, 379.52528334338371, 380.53935655753929, 380.60654551760609, 384.40691123778367, 384.6502023612087, 384.68994908157072, 385.4643857110396, 386.45336608405773, 388.11164892865906, 388.57030349261169, 390.87487097255541, 391.83388469151731, 395.26721993647885, 395.65126049066231, 396.40327538767968, 397.01572787698603, 398.34121920497836, 398.55524632325728, 399.23386758726258, 399.54886251074674, 401.84704909534116, 402.41206054674575, 402.43528033099108, 403.41419953198528, 404.32895471597391, 404.78879020502143, 406.54188779720027, 407.65648060603752, 408.63206759617475, 411.00205215868641, 411.03927174097197, 412.1101938808344, 412.19167613940118, 412.52489838826682, 413.63648882482238, 413.75127712592746, 413.94233967352562, 414.64511773331799, 418.84825392833034, 419.53949671266054, 419.66365849454399, 419.78500613846467, 423.53819043661417, 425.15648692790757, 425.58063216748633, 425.98477591090432, 426.1002861082971, 426.88069677529097, 428.42386656129128, 431.51789643447285, 432.20637153030651, 433.70059503508634, 434.41588026104847, 435.36940895807618, 435.79791372552182, 436.93306532607193, 437.20734416441098, 437.57610809249695, 437.76884746163023, 438.16896827439979, 439.08109455155704, 440.18514190007841, 440.55274129115287, 441.15777812904452, 441.65486278991182, 442.4019328370029, 443.0010878084301, 443.86713093787154, 444.18609895704037, 444.41697169901028, 445.67728105632159, 446.35567120264471, 446.72162115115708, 446.87207779540751, 448.88919026760271, 449.17807548736823, 452.30066885677013, 453.22168239280876, 453.85185303325142, 454.75227773885297, 456.09376347792892, 456.14299406880235, 456.32421828447542, 457.45813121147404, 459.8167759273573, 460.90000734088358, 461.05831805649103, 461.36207096472725, 461.5707608409337, 461.71317107504757, 464.50686443459233, 465.81032121812297, 466.860655478811, 469.15686016985268, 469.84755460752854, 470.03453092270939, 470.54333387199762, 471.30428579041256, 471.47985913582352, 473.03747082896103, 473.42130168466019, 473.71450667225315, 473.75879809403818, 475.84605820494437, 475.99916997571586, 477.63103870654999, 478.77763581001977, 479.44460409992234, 480.95840043827752, 481.09148059557259, 481.43036638877908, 482.17504164072898, 482.53672866604757, 483.21786034196725, 483.86370730825462, 485.56923659894829, 486.89488776834929, 487.25308842803145, 487.76258057942368, 488.81515647688468, 489.92590806478034, 490.22333056056965, 490.36221538088097, 492.45494661194539, 493.1384792367698, 494.06178829747984, 495.41753986480131, 496.7041240232989, 497.89516421507852, 498.46765706191337, 499.2762250934598, 501.82720042606326, 504.0790567942006, 504.32789879615495, 504.85592288915615, 506.90071592615726, 507.48679313143919, 507.75863922901596, 507.94811467185917, 508.49239241340666, 509.71525676632291, 510.64463284082461, 513.73209508050138, 514.14203682839593, 516.56665057487658, 521.25911279118782, 521.73659919484317, 523.21869650068061, 524.60388437843687, 528.11515139509038, 528.341041520045, 528.44748691492487, 529.67563048095383, 529.7405146266243, 530.38798407583602, 532.15355842117117, 533.65317451644364, 534.05266227099958, 535.64034215720631, 538.80471729803764, 538.94905876662619, 542.77358054570345, 543.84819022503473, 545.2247913640249, 547.0951384905128, 547.29460947499706, 547.35973123679844, 547.63750715915523, 547.69581852089334, 548.26369548313869, 548.29909911150355, 548.59698525257954, 549.10529760177815, 549.16720665071171, 550.77561618771597, 550.91642714105808, 552.65840634130984, 553.75247092373013, 553.83027669297746, 553.87356117905324, 554.45679915808319, 556.88697377837161, 558.17430127588966, 559.10396447318874, 559.2052481948873, 560.41321393101737, 565.00829840102142, 565.05938284032538, 566.55015983652368, 566.75015276312263, 568.45829826868589, 569.59535262242377, 569.76143990899493, 571.57670064071897, 572.68989620578452, 572.71515000109855, 574.76510692262445, 577.46357640571705, 580.24532537091, 581.34238928420166, 581.51746712920158, 581.88554544032627, 582.44998717340502, 582.71573943394753, 583.8648809214194, 584.98847438007613, 587.37283228583328, 587.51138417170682, 587.96879790778905, 589.63058226582177, 590.80768440532006, 592.87669547662063, 594.7312182512436, 595.44271880220913, 595.49383659976593, 598.98384962743398, 599.01482325445011, 599.79052495928522, 600.9322396873074, 601.31896198509298, 601.45514186157311, 601.49766478731044, 602.60596160488069, 603.50120722078748, 603.71325226254339, 604.42168146386598, 604.71464818710319, 609.57128020383766, 609.82956092811503, 611.59172229275521, 611.80145460984807, 611.8382343284361, 612.11314926017428, 612.61798507967296, 613.21772159470186, 613.38034537492365, 614.52713909152089, 615.20756046335305, 615.50186147013471, 616.08649537727456, 617.71714767241565, 618.52292191605977, 619.45932236906208, 619.70709406186973, 620.39104777103285, 620.58023966722897, 621.3659332955325, 623.54998233271067, 624.32513498396588, 624.91292140067185, 625.23646407938941, 626.75554051382346, 627.44609929845228, 628.56789297277192, 629.25970101616406, 629.64976353031363, 631.70127104974108, 632.35585960303433, 633.30369174577902, 633.75982972158954, 633.99665903776452, 634.48131085455248, 635.64269304957975, 636.57522335060548, 637.08875841258703, 637.64182090351039, 638.19384692042036, 638.77175609661685, 641.3774460207311, 641.89810041934868, 642.03593346538867, 645.58426858701591, 648.74860721152038, 649.54521172357317, 650.85479953061963, 652.63974127136999, 654.09770541359626, 654.14339332921622, 654.26011813866614, 657.19173597553799, 658.48435464688066, 658.67425481064038, 660.58223906873911, 661.04376603448407, 661.24705358051256, 663.3515783550522, 664.99289693811443, 667.22577584842713, 667.60329272005731, 668.60632064125627, 668.66305871627776, 669.10734886319051, 669.14125124680436, 671.64063250654669, 671.89917527230091, 672.42202649138017, 673.25470133765839, 675.89364413264241, 676.12185957788915, 676.29399707704977, 678.76022960751118, 679.2558387678904, 679.94239873722245, 681.71425933770911, 683.47645672283102, 683.8832447484732, 684.50316373821852, 685.8245484146521, 688.28702120782168, 689.30519119638097, 689.69661623419881, 690.50519111833887, 692.16209409618955, 693.92673361277036, 694.98676624907785, 697.22966539575805, 698.93151035435403, 699.29238597989342, 703.62950122825737, 704.01042630760014, 704.60792938733198, 707.15583544397919, 707.70431533690919, 708.57803291568905, 709.20374115637833, 711.26790195888714, 711.76847640011272, 716.54607941294591, 716.65493487121387, 717.81497545685761, 718.42359809677248, 721.37352093076584, 722.35079825890091, 724.4949494000698, 725.32203945833396, 725.49160130290988, 727.27317978846395, 728.19051629675596, 729.39159797706191, 730.02706855890767, 732.90110869670798, 733.76552134036513, 735.28653215356746, 740.19481084634867, 741.17666448783234, 741.58189769841226, 741.61559517302851, 742.46380420090918, 742.51229335752851, 743.35933547936247, 745.204465227166, 745.97440726304592, 746.5546709119227, 747.07363240369239, 747.93641025256682, 748.76635464309766, 749.95014769404452, 750.69435894588014, 751.39619445509811, 751.46804585134475, 753.10635219291066, 754.98275101693082, 755.50273658522462, 756.02487076925286, 757.59880943387873, 757.83727593384958, 758.05661288660588, 759.0256086595881, 759.25388190417516, 759.50619568251386, 760.35838534551226, 760.53177593495911, 760.91823787425028, 763.38242877378013, 763.80872319706305, 765.04639251871674, 765.65413787314412, 765.89427805238961, 768.39510959943391, 770.39642183412263, 770.42340063818142, 771.87300996239185, 773.03707125351889, 773.34573643623344, 774.36725885394549, 774.47674194630474, 775.10465290434513, 781.86511407225385, 782.81173686048692, 782.88114604804946, 783.37765630712761, 786.90989102411311, 786.93773443475084, 787.12320290624177, 787.86505868165455, 789.04774353564733, 791.24109478461912, 792.66172623906232, 792.83764827022162, 793.85759819576958, 794.55679666090759, 795.42508977784007, 795.95094222623982, 797.57615618851003, 798.48666985432817, 799.01484398562536, 801.07255939005529, 801.13831290469886, 801.17593344581621, 801.84207650912788, 802.02557095011207, 802.15041669129721, 803.00142092106012, 805.43834066022384, 807.25688192649272, 807.47505264838207, 807.91605282203477, 809.28985623314043, 809.81216581597903, 810.64679855090719, 810.72933125134455, 811.19511887200497, 811.36527525587235, 811.69734879589714, 811.81629679162859, 812.07520068415045, 812.44368769080165, 813.59926201509188, 813.66608282257619, 814.57455357632989, 815.19459167208811, 816.04143192513141, 817.17062929062661, 817.84329900701607, 818.95599724322062, 820.07901178619773, 820.27249277002602, 821.11402316010981, 821.70416713812642, 822.8892225365895, 823.02425770887396, 824.10494408590807, 824.56389169520662, 825.02772969686691, 825.17769988814541, 825.53702937545859, 825.59896093780026, 825.78993092668463, 826.79069231272922, 827.22063979973541, 827.52796932930778, 834.0703247556778, 834.13254278420766, 835.4706799623923, 835.74977249886365, 836.2767306418242, 836.45359140943276, 836.64939165822545, 836.94504431325095, 837.26050324054825, 837.78198507903221, 838.37059064005257, 838.55853230007619, 838.97898800401879, 839.61279052931104, 840.71291336621948, 842.0138089378205, 842.71064395050951, 843.56905860491383, 843.95987588150581, 844.66195713745969, 846.61016474564178, 846.68095523351599, 847.08091464053643, 848.01539915575358, 848.38028818601174, 848.44270674251493, 848.99078853826518, 849.1286878135345, 851.36621713515422, 851.7601389061474, 851.93184588897793, 852.16263862725452, 852.22579728345477, 852.78705083900593, 855.06508922308376, 855.24337577348729, 855.3561278897248, 855.4255064471887, 855.83074333526281, 856.84904302156292, 857.73730269680766, 858.09297643222851, 858.16960080153126, 858.72841059665416, 859.18218774768582, 859.32936024456308, 859.99872082501042, 860.49220781850545, 861.45836299259418, 863.31336205628736, 863.89206669552482, 865.48566748116514, 865.92275260488975, 866.0599651076916, 867.69893728682325, 868.43665813725636, 868.47169625180879, 868.83317774858301, 869.06170066726941, 869.75949605547191, 869.81037838001271, 870.99940380269288, 872.27985443469163, 873.04226870482421, 873.87595801144028, 876.05159817132073, 876.5058558600814, 879.47617407480345, 880.77724858064482, 883.21822780952414, 883.71879421529422, 884.12132856362405, 884.78809263728601, 886.04766727323931, 886.14696815939681, 886.49483322121182, 886.96259483848507, 888.04318311920292, 891.16096178038617, 891.20577909430631, 891.52430768504939, 892.15653474041858, 892.43532955290482, 893.69457463048286, 894.75077741192581, 894.86313906343457, 895.46375336170729, 895.92095698943103, 896.36760861401137, 897.167950228265, 899.10131957324427, 900.10991640100656, 900.23542954116999, 901.09204661113881, 902.85880982000003, 903.18004463137584, 903.32486981583645, 903.72332434754219, 904.606198774071, 905.36025269153197, 907.64497844370283, 909.24219045171105, 910.6326612380999, 912.40319724553547, 912.81703977449865, 915.56513059646261, 915.96696550629417, 916.16156932425201, 916.41196918269611, 917.05104952367719, 917.17054045274904, 917.27937903985071, 917.64227524906596, 919.08285990419915, 919.86530841552587, 919.97183707738577, 920.59453280708806, 921.33969625757209, 921.48269862344455, 921.54291366228369, 922.29139317329998, 922.84549950875805, 923.62975181303477, 924.91804506611959, 925.21568457345722, 926.16278998569578, 926.76957100429263, 929.04055204374413, 932.61592261055841, 932.88152989944308, 933.56416636236963, 933.6202166524547, 934.70098467358957, 934.96783556428056, 935.60829725336896, 935.81448530823582, 936.0259632470495, 936.32162097388493, 937.33896125603258, 937.56601572438581, 937.96520228293127, 938.00755805761753, 938.22786683942729, 938.90186833722225, 940.82325196117745, 942.11789236845084, 942.86659062368426, 942.99316620167644, 944.02633908385428, 944.86350384953937, 945.10487591115634, 945.22161136618297, 945.42295699476176, 945.5719492158911, 946.16044220968286, 947.55021444229078, 947.61805570417721, 948.82045397053707, 955.48887280448787, 956.39951058056886, 956.50061211383752, 956.66177037563352, 957.10945234759447, 957.35559964408401, 958.41172956305638, 958.45519470858892, 959.14892133949184, 959.56862980834126, 960.21445431753864, 962.19240488170328, 963.55684700083464, 964.17600438253919, 965.0550253248208, 965.07614330163165, 965.57955901333969, 967.68802065160014, 967.76315802042518, 967.89422932040679, 967.98897763179173, 968.08334412604097, 968.30993058366437, 969.26807265824027, 972.51469097778408, 974.13094353858105, 974.76691598051082, 975.28065500016362, 976.09119441134624, 976.5035255610436, 980.1241567722185, 981.94171913129185, 983.13846559540411, 983.25854790923711, 983.44345219322315, 983.80587043863602, 984.35902559610986, 984.81162677752945, 985.03355931873887, 985.73923054401223, 988.02168855993023, 990.15914355952907, 991.80860399097321, 991.90956550111719, 992.16417363361541, 992.46676572046226, 992.85097789118583, 993.33869849041014, 993.45107625896844, 993.68886041482915, 994.41218314987191, 995.16470903578909, 995.45564444910212, 996.25128955315699, 996.74284897202745, 997.90540253555002, 998.92856941553896, 999.01524988403355, 1000.668179470704]),array([9.260662211547622, 11.091679866943764, 12.447263377900363, 12.59783006916534, 14.77324172657824, 16.70351259788703, 17.776707286854485, 23.091167399701394, 23.90983805786701, 24.41065668694948, 25.320236034572805, 25.927967596862899, 28.725982873616509, 29.144028166595774, 29.396389988013574, 32.869149244121701, 34.298132013862997, 34.441721443596514, 34.757368317582774, 35.328672668139319, 37.610966866969648, 37.878641105174687, 38.648136520722424, 39.614779726396861, 40.182922345092315, 40.672349231746125, 40.717742179217993, 42.027332792371041, 42.086852345191161, 42.617465258244827, 43.715244607756176, 44.151813390329217, 44.671271565028185, 46.211103339505783, 46.658065563854393, 46.691249280190512, 47.080017638927188, 48.150607813218151, 49.148806029744485, 49.811231011004026, 51.613251839642885, 52.031187251013229, 55.24540549672335, 55.282526450366781, 55.403462638347563, 56.811456079124227, 60.736176470262606, 61.069067166784833, 61.429564359135213, 61.973702388741266, 62.267738125412009, 63.869966449433917, 64.286389961146128, 64.618529134475011, 67.506060060293891, 69.390096060636452, 71.324747200216223, 72.250394187896219, 72.525072874568394, 73.134239291074337, 73.588734336955255, 76.782145539301339, 76.945894123604887, 78.019116065252859, 80.067208027388574, 81.762016490808108, 81.977593708718231, 85.85535189044171, 86.680107229163355, 86.734418471078072, 87.533776923259467, 88.826043863041562, 89.876708073878603, 93.65440853995544, 94.406965339013269, 94.636167485136468, 94.907262954937067, 97.484355771870554, 100.3668608118623, 100.54719076356049, 100.63686422839115, 101.72049927655007, 101.92711876238181, 104.07362679248776, 105.5156144549475, 105.66258706533314, 105.99304874197361, 106.6888763658181, 107.14868507849579, 107.26811768461502, 107.40330072358724, 109.90373764318815, 110.7068286774094, 111.19190338630163, 111.50400756969248, 112.30235734223649, 113.92598810517428, 114.44687639145856, 117.42684743095148, 118.20656971343136, 118.80551679266345, 119.18392804845617, 119.68024923300155, 120.07349178982388, 120.18640131794592, 121.01519192379313, 122.22699180973551, 124.22266648197201, 125.47136297173017, 126.62033323514089, 126.92250519700008, 127.97600131164526, 130.83099883124865, 131.60666279997608, 131.91042850300082, 132.7738124710848, 136.80906507443547, 137.65711357292705, 141.10243628598511, 142.64067713089491, 143.65431176751119, 145.19745385199857, 145.80958014849179, 146.22853372046663, 148.84052659917577, 149.58738024726185, 150.17234077810639, 150.94500324945307, 152.62289836089229, 153.66917490075488, 153.70514452926437, 153.95820057034703, 154.12116224608368, 157.307171549662, 158.31292703012977, 159.71197966679958, 160.19867333165448, 160.85194965963018, 161.00683256459385, 163.22310001828802, 166.08364222124592, 166.22736156149421, 168.03875794754543, 168.78290633848198, 168.87327913391195, 168.92929392962586, 169.15226896328443, 169.28148508002559, 169.67702564145861, 170.30424297251466, 170.58198183192928, 170.65627275481117, 171.91585769733115, 171.95833738904227, 176.27880973756766, 177.25231760800287, 177.52508571059872, 179.02968120018789, 179.07276763381444, 179.46467332712558, 179.94319979764407, 180.03725778003957, 180.83923404250731, 181.41733040471664, 181.45566398500364, 182.34223521858291, 184.00012535628724, 184.67847073218755, 185.55548756390803, 185.98923346267716, 186.18280660253785, 186.51471676365406, 187.54234548062922, 188.07233329811334, 188.3942149093748, 188.66199055038228, 188.78817456360332, 191.14868409193548, 191.56850548739132, 193.2592547234637, 193.91986160446032, 196.58866936934535, 197.24111539279127, 198.65978697986691, 198.81043083430592, 199.25455999053557, 199.66787762679459, 200.42594146874802, 203.11998384623354, 207.29797421665617, 207.59659978157015, 208.17091287335705, 210.39127404788957, 211.89114442687989, 212.11329150358733, 212.66328300403958, 213.38850214124037, 213.63883097817993, 215.33310708216123, 216.2108166065162, 216.95613798712915, 217.10342509449305, 219.56592804485479, 220.04307677939445, 222.77361924379395, 223.35881168750245, 223.91347059344139, 225.0557164769651, 225.11866255271124, 225.16630145750986, 226.454472916209, 227.65414847342706, 228.0523526799889, 228.74811791542433, 231.97418599078426, 232.28887207968407, 233.60890211016186, 234.25946303760193, 235.32301277698869, 235.4991935056878, 238.4841340526954, 240.59664819084389, 241.0737202918078, 242.21717837468725, 242.87435009726664, 242.95930371904905, 243.28974282025254, 244.50740469318723, 245.94258414298437, 246.37027523904342, 250.82469133913617, 251.55490082108179, 251.61843733879525, 252.21260978705192, 252.55964081929719, 253.38021123412747, 255.80549912544714, 256.85318286854289, 258.79285356451737, 258.9854130268277, 259.69825115377444, 261.69406475086282, 261.97582141775661, 262.25897147326299, 264.3920587136094, 265.19106529698644, 265.27749586760922, 265.43268577853314, 265.46645313211275, 265.54285052230608, 265.84797696271153, 269.34657487355099, 271.06212452620872, 272.10900060212674, 272.30742115201116, 272.40919584664044, 272.4466015421616, 274.02682170803411, 275.93423308484716, 278.19207373002945, 278.36341890630712, 279.4264075472143, 279.76169474277407, 281.77275858746049, 282.48967586833476, 285.05387769723109, 285.60948367332071, 287.68926103543964, 288.97638666683093, 290.29033810236592, 290.50503934801674, 293.11407380353813, 293.43725019038766, 294.40755928959305, 296.01712546778754, 297.36461481896947, 298.53404607195375, 300.43585010023065, 301.74700482660091, 302.63648016978863, 303.23800092624367, 303.43963658414134, 303.96321820877881, 306.01517422122458, 306.2292008138304, 307.45918079297149, 308.38848998748188, 308.41090199000121, 308.64811250975549, 310.59467383286682, 311.88677462228134, 312.19154823187006, 314.56955228028266, 316.09396743572006, 317.45178714844718, 319.10224473555996, 319.52511923862221, 320.12144577342588, 320.25711095742071, 321.37455350483839, 323.59460509776108, 324.36682121154388, 325.83946555584362, 330.31304582188523, 330.84960620344691, 330.87616235266512, 332.91073591669794, 334.61910378858875, 337.65616085388854, 338.34418643406144, 338.66849588209936, 338.96954432088563, 339.79694588882995, 340.26661152423469, 340.89394079011748, 340.96713181978441, 341.00312199625131, 341.71710374363028, 342.11926134720591, 342.27380641926203, 342.83560231458881, 343.37675745263653, 344.22232572278028, 345.83868797600292, 346.70325257219599, 348.17276447892345, 350.98183581123209, 352.47011168935705, 357.19024608183622, 357.72248901334802, 357.9694058307785, 358.7615742721735, 359.95586875333782, 360.52077510777121, 360.88215298705052, 363.46285828366899, 364.3654937355879, 364.60725618866127, 365.87907261480217, 366.62101147216543, 369.29413052900003, 370.91208748341757, 371.04294255342444, 371.53204702726714, 372.08658332801633, 375.37796952924242, 375.72807320714531, 376.07104397691472, 377.32310735067676, 377.71409464590226, 378.175907929853, 382.37246504607134, 382.39851032475997, 382.81618319757928, 384.47732891489358, 386.00767337624734, 386.62636777231194, 386.9495387155759, 388.94123501263709, 389.96202077732232, 390.7764648662918, 391.91187852371269, 392.19585766408221, 392.9051850044965, 393.12828711863267, 393.52112584344576, 393.66690926505061, 396.45088869036579, 397.78034188277519, 398.56783474975873, 398.82371710846292, 399.98001230649055, 400.00574980784512, 400.46994437533073, 401.40533290171624, 401.47060510225822, 401.87399243078096, 402.04605377219349, 402.53716978755614, 403.66976067440072, 403.69850249058578, 403.92365641998413, 405.70407068378768, 406.49023940353953, 406.94436144533665, 407.21441687622263, 408.16799097878851, 411.81275039275357, 414.56457288222327, 415.45451527789822, 416.85313559944552, 420.1703310169699, 420.87964361032806, 422.3786172086277, 425.28402739842016, 426.38038331009773, 426.61111882635635, 427.29634069322151, 427.72364933956624, 427.82441775045908, 427.86727302795504, 428.53069753175959, 429.85198784870767, 430.016578803345, 430.8598225986326, 431.38625771314071, 431.62546178322492, 432.34766498538852, 432.88742737803074, 433.16566855406592, 434.30487376036535, 434.84304119092116, 435.30488827083002, 435.59764176796705, 436.42768623806626, 436.65829806613283, 437.66873268187635, 438.27042748970825, 439.72673044530507, 440.80039943380928, 441.36210136361518, 442.39842122614027, 443.32567708744887, 444.16899935387636, 445.82732274544156, 447.01681504780595, 447.074861544778, 447.26432415174787, 447.34764031689429, 447.71538934330408, 452.43792519684513, 454.70083868132485, 454.88293371277069, 455.93910683938969, 456.0701117562856, 457.02909414453603, 457.34232240985961, 459.74501934294022, 460.06010903216998, 461.55083543084913, 462.11180087019511, 466.80502202024059, 466.85215637830066, 468.15382382256354, 468.96874737204598, 469.25220518829462, 470.17481833782062, 471.95644529389324, 472.00579570028611, 472.50901196142627, 473.98695014756385, 474.8761446872486, 475.26503747852615, 475.84391894233528, 476.74274733681762, 478.01554895428063, 478.57668814704971, 478.94660659084536, 480.9572338061036, 482.35498408424564, 482.9540457043048, 484.39276316411832, 487.49358707261149, 487.76709631086885, 487.87799826298908, 488.40740184795783, 488.56517613232199, 492.67977071890181, 494.70218939957226, 494.81923715895687, 495.83504595076874, 496.46332940896838, 497.07373883419518, 497.6050378859133, 498.04374834864967, 498.68273042335397, 498.9482964029246, 499.39963964559632, 499.76992651355164, 500.66504444475237, 501.70836462385296, 503.12467198872451, 503.22007781694231, 504.8436413417038, 506.18524925103185, 507.64342237957976, 508.52289524520916, 509.59270801875044, 510.35558395848619, 511.64837430194137, 512.14179392327628, 513.77148014509191, 514.48475659129497, 516.43855308575939, 516.74739819518447, 519.98585387198477, 520.11821719419515, 521.35681625306518, 522.95275273308823, 523.49659724356809, 523.58579450483967, 524.28921963151731, 525.0503242422792, 525.86173492954072, 526.26430580507338, 529.01237721144093, 530.02770696975608, 530.10634619877931, 530.80010659527602, 531.11767902324732, 532.84879165959126, 533.69781243355089, 533.77572088309, 534.72778613023434, 535.44293455831473, 536.15434963248686, 536.62717030295119, 536.96713330440753, 537.07723205962338, 537.61528311057839, 538.2325844757363, 538.29387319427201, 538.71888362754532, 539.52007545924334, 544.87863559228106, 546.11108232400773, 547.52809364136715, 547.74268146026134, 547.90025479647795, 551.38509882002325, 553.62595911952758, 553.93844597882071, 554.89346243897705, 556.10806009417286, 556.93813181874964, 559.66542300178958, 561.82417210754818, 563.76398685963579, 564.31257312037269, 564.38493182614536, 565.86778565650627, 566.20579020113519, 566.7266600029601, 568.69248249620091, 570.10492603526166, 571.00038644549227, 571.04039566150107, 571.84387618513438, 571.9900154948441, 572.30940497990548, 572.77266297500739, 574.07840412945836, 574.98229863601557, 575.6339784731631, 576.77764878343692, 577.01984637654687, 578.77404070746206, 578.84063106482904, 579.22471015565884, 579.88114160830332, 580.24597209660669, 582.38926762662686, 582.54450093606681, 583.49185835976414, 583.90549336081267, 585.69692621082947, 586.49341354233582, 586.64010661349585, 593.03577265062358, 593.13509437900632, 593.36209302583518, 593.47392751997825, 594.83094259168536, 595.05384143710751, 597.88712655590041, 598.20284686837306, 598.32603054825347, 598.73676187208673, 599.10733247881649, 599.56458481819777, 600.43950299803373, 602.06402322570227, 602.51909274035927, 604.47383500089336, 605.09233793900864, 606.02027769776078, 606.355660644105, 606.69120881500839, 608.90093594196753, 609.39722058174345, 609.92154042888103, 612.19588604263652, 612.31211906862734, 612.50703983978394, 613.2525682354327, 614.41990466569155, 614.51988146041663, 614.74048410997295, 616.9974309158157, 617.50723738184172, 617.75223634351994, 618.34661202712812, 619.35246917505594, 620.50016778110773, 621.35778424205853, 621.69615214656869, 622.44735323242526, 624.36545250215147, 625.75749235268336, 627.28656734179515, 627.99256179996496, 632.20457799567362, 632.33445241715742, 632.78077976011161, 633.4476707839583, 633.59901597363557, 635.73755540797322, 636.45152078122999, 638.95069683714655, 640.41592798216618, 642.73361135623952, 643.18142649510924, 643.29531823545244, 643.75823686873946, 643.77905681294123, 643.97234287257743, 645.61652687256651, 646.36664327448523, 647.04876618679111, 647.54837972400014, 649.61209623290222, 650.3193684880348, 651.88258073570717, 653.69709630049215, 654.23456679944627, 654.844496762365, 656.54075312782447, 656.8219000186732, 657.10055022833683, 657.3045232661176, 660.59921011557185, 661.14998565358553, 661.31684375788222, 661.58923014450875, 662.0358360090521, 663.14557777674054, 664.82146922257743, 666.89845203500613, 667.14304673083382, 671.78698192167894, 672.4386598931078, 675.06753693885787, 676.29286142049239, 676.73739649597246, 678.10351431127719, 678.30018431594101, 679.29967442515601, 679.62647636959548, 679.84351336505631, 681.83404384685912, 684.79112839606682, 685.32324507805754, 685.6628561220308, 685.73432216134063, 686.38191878375949, 686.687944287292, 687.17377498773669, 690.27329359769203, 693.08239480344605, 693.47101576751402, 694.51893225450578, 694.76289359597376, 695.30391266606432, 698.0677321997947, 699.44228179797892, 699.78659951378404, 700.06957774357011, 700.6607749806642, 701.44292568115293, 701.55725101599603, 702.09627845254272, 703.05174456309373, 703.22499670115883, 703.64877077548329, 704.87100274511704, 706.28626093366563, 706.47698403801883, 710.08603353103047, 710.50940230008518, 710.60229965604401, 710.79123926667125, 713.02687824287011, 713.11243245759715, 713.53276472313462, 713.99556644655581, 716.38572375343563, 717.93409457538144, 721.62089258351159, 721.71138273035888, 724.4014718975975, 725.47121142518961, 725.82978814250373, 726.03614569970773, 726.51484589240226, 726.72851457931267, 726.76589858220007, 727.09620753854426, 727.31504506742397, 728.51587621324984, 730.70407317730223, 732.01069295525542, 732.66451325241655, 734.82010570511261, 735.42197729492227, 736.98054360640606, 737.44782872842461, 739.08520910529887, 739.16896946363909, 739.36287634880091, 739.62178511126012, 740.14323197839792, 740.74149826802136, 741.13765252851874, 742.29372282039128, 743.30189976005931, 744.77383295174479, 745.39951618444309, 745.73003796301134, 747.37277573638039, 747.91028858428933, 750.68319629264465, 751.17311999606659, 751.92722306404448, 755.67175482316088, 755.83082570737167, 756.28860534853482, 758.20037564834922, 760.20186034157655, 760.7942586746633, 761.49404831874017, 762.69179978892498, 763.32878974491723, 763.96780974535875, 766.41908116287209, 766.68194515210837, 769.45505283957357, 771.10626635725589, 771.87992577457089, 772.26686481089666, 772.62802737795107, 773.87719915938817, 775.42693339198513, 776.15207148243314, 776.33939070908821, 778.00269090728364, 779.46909665031205, 780.40347240082997, 781.60789887291435, 782.9010867723099, 789.50905348561059, 789.85659107075617, 790.05562769816015, 790.53193184201825, 791.40030842229578, 791.76603584534928, 792.68635693542399, 793.38582474709006, 793.92948701948887, 794.31261526512276, 794.38270252775646, 796.14793868874483, 797.08624368387177, 797.67356297834351, 797.93775056612606, 798.36179998572322, 798.73225887885872, 799.06970890941, 799.57147512987581, 800.23186182816005, 801.27948976606149, 803.10396215764877, 805.14050404476893, 805.38078487900873, 805.80568933185884, 806.95559431304287, 807.22904017070744, 807.33375066412202, 807.36680214675289, 809.4187675002895, 811.25827843131981, 812.54639135964248, 815.07201278999332, 816.61813285526432, 817.67012109581344, 817.90610581752958, 818.18668054846751, 818.21247142217237, 818.30507500192004, 819.67926352749214, 819.91550447828126, 821.48014768002565, 821.68827950480056, 821.89411562727446, 826.32702210609341, 829.65376986659203, 830.87652323300404, 832.32216176236852, 835.86138523027807, 836.00547548357679, 836.47220877002292, 837.31680179599095, 840.81189419967995, 841.16444880077177, 841.96048117681892, 842.02628134825216, 842.25452365887793, 843.46313654786638, 844.23836036921955, 844.27863740779139, 844.32234392362454, 845.09507419601891, 846.16639469624693, 849.69112125158244, 853.05961348628045, 853.28955674639599, 853.8388260525852, 854.83241705309399, 855.1311575347039, 855.15234175442936, 855.84714471870382, 856.92527376197177, 857.48780714894974, 858.1481035891984, 858.28217516632162, 858.8032301034865, 859.96367105838192, 860.03031398881501, 860.29658434891473, 862.69734597229717, 864.77205696907515, 865.32771507951929, 866.24729744152421, 867.2461814387093, 870.00736153922753, 871.06424494514204, 871.10932103196217, 871.52559237348373, 871.60214242091081, 871.69970639310111, 871.9085251649625, 872.61063723946893, 873.05727218992365, 873.96023777833409, 877.61953761793291, 879.14412004814233, 879.95429620051266, 880.35264060484769, 882.28593552594191, 884.54465337081854, 885.15499733819422, 886.02563134458853, 887.81592662594608, 888.20740093467623, 888.48519515251826, 889.93223320557706, 890.32667436687564, 891.98045964174207, 893.01695071323013, 893.72167478177869, 893.91651552172118, 895.46792628646858, 895.56492421538746, 895.99338468692054, 896.95248093476778, 898.54838747153076, 900.42789021751844, 901.44762915492458, 903.19946974967138, 903.48682477706598, 903.53463346338458, 904.51011076212558, 906.11425494916853, 906.42779578225463, 907.55835588147943, 908.0233977408692, 908.80480434056335, 909.00970440892297, 910.65113428005759, 912.45231717398383, 913.14755215590856, 913.84711755608839, 915.73397291262631, 918.41279448493844, 919.89277744328069, 924.18880585082161, 924.26762608133629, 926.44383046714722, 927.15134709660663, 927.8779444890306, 928.42928393653426, 929.09086179579947, 929.38036586879434, 930.26507141584921, 931.5773206338348, 931.98742792896553, 933.41950050418063, 939.09994533495023, 939.91966119986057, 940.34565706938577, 941.12015877009412, 941.97885911564083, 942.78955687789539, 943.10603533916913, 943.26075664571476, 944.94669883664733, 945.05850190202329, 945.1048511338829, 946.22464880890698, 947.12575306290148, 947.62955669001474, 948.37858636631302, 951.9741164958358, 953.12908802212326, 954.64206059400317, 954.9575718929633, 956.87186697987659, 957.46866058026603, 958.88072297728377, 959.41461905336632, 962.38164570176423, 962.45311341131469, 965.87041829955285, 966.73743671550312, 972.36119516783492, 975.68551821193489, 976.76412384940477, 979.03016387005709, 979.53951968880415, 980.85781709599814, 981.76523544640736, 981.9040771783998, 982.48142650158786, 983.2070840003563, 983.91460504543852, 984.2875639807653, 985.89591197590323, 986.83652073657981, 991.69114984611838, 993.17261705997703, 993.27096402249833, 993.3073599011484, 994.13067406742698, 995.1856620115891, 999.94556829347857, 1000.6372369474062]),array([57.402005370691015, 58.258740629505461, 58.586329050867377, 60.859067818984265, 60.99846015851319, 61.680913992510987, 61.893271151334957, 62.406208335654249, 63.474377166851824, 64.774710699037783, 65.287816275582102, 65.608518278792957, 65.922829666636545, 67.76146465943215, 68.033104914564291, 68.055680084836965, 68.266878794868887, 69.022222054646889, 69.778075471021594, 70.783931965681035, 71.404822330479846, 71.533717885601448, 72.691373022728101, 74.131353401336156, 75.284761589192343, 75.615619271729102, 75.825531784224452, 77.136153245323925, 77.406397760315514, 78.133540379680767, 80.581586842948283, 81.450295860491522, 82.401149902551353, 83.146133915838419, 84.780137176271694, 85.641311985691786, 85.765286363602982, 86.842362024161957, 88.380479825277803, 89.198316768902558, 92.877285963158457, 93.292814699395123, 95.171714947419431, 96.193509502024284, 96.262491182183879, 96.731408536531902, 96.780821067821904, 98.499455949702806, 99.187975363544652, 100.75993003891597, 100.9244064639, 102.0561029841993, 106.61517061210424, 106.79995175156981, 108.15865392654101, 108.23743836434464, 110.99717127982858, 111.05363516746864, 112.95327325170578, 116.6764576251333, 116.70458883564535, 117.12991460651573, 118.64524183771842, 119.6035748055793, 119.8469131322515, 120.80002569257778, 120.86524058343436, 124.01943409783767, 124.47916426646869, 126.57876829879564, 127.07580211275447, 127.66400064885586, 129.38588768657664, 129.45083913594613, 129.63337119527793, 130.94500831523686, 132.52399459805633, 132.6256352359772, 132.73662874216308, 132.84199228889025, 133.11141752813342, 133.70619816705914, 134.44229606980599, 134.6803254898293, 136.99041188064777, 137.62243397300099, 138.96654366606992, 141.33387845515176, 141.35784165463363, 144.68463303489114, 144.7771233506308, 147.16461410201876, 148.44763806453966, 149.10893171624045, 149.6638736240736, 149.88080968708994, 150.55985830595174, 152.35479849824506, 153.41145527290169, 154.22941503037549, 154.84570746130947, 154.90860628399309, 155.55744373185149, 156.20213459483006, 157.78493895892984, 159.41771520589757, 159.79560954289789, 163.08965287114424, 164.77732423418266, 166.17442630041032, 167.27791478834874, 168.92688539532699, 169.2153678771196, 169.96889600123811, 170.04355410209149, 170.44934057678748, 170.86177224544275, 172.78285912672814, 173.68775517821132, 175.68452171244607, 177.94444675584029, 178.19412060426257, 180.06051549833521, 180.29146257541544, 181.52273846616114, 181.66240480469889, 181.97696262051176, 182.54138673079319, 183.2951728359167, 185.68052563943661, 185.80344625991157, 189.17725553845759, 190.50568552222478, 191.58954035203783, 191.63854839498467, 192.70658428010145, 193.26448897646861, 194.44381204198089, 195.72734928466264, 196.32579442151257, 196.85855356887063, 198.51746940580003, 200.5438120315637, 201.38876171141376, 203.16979712632894, 204.69211682604123, 205.0267095731781, 206.76481332183207, 207.26305499674638, 207.62012579169436, 207.91304186125467, 208.15284766781534, 208.27068731392015, 209.76060163269486, 209.78775713717607, 211.53007485832177, 212.70483822157698, 212.74056765692339, 213.55454447892129, 213.75247748911025, 214.68103143958413, 214.80140934208558, 216.57306146456307, 216.64059507836947, 217.4556619104826, 219.03708005895442, 219.7279341591848, 220.88526518702065, 224.03771725185217, 224.86532821863833, 226.25515718494907, 227.16981773787458, 227.87753714063558, 227.91058321755318, 228.86247208489203, 230.48579365931224, 230.58794112958972, 230.97430769253904, 232.13598720006055, 233.210348407857, 233.76524308978438, 234.58744558535571, 235.45123215207514, 240.51220968207127, 241.34794987654772, 244.78011935502846, 244.82702168398723, 245.92101186033912, 246.00402728247562, 247.41654445919514, 248.06656260104327, 248.50946298802231, 249.38309180219994, 251.35808242454124, 251.89335587516271, 252.13530763267494, 252.81436928829294, 252.99283419804283, 253.83426812934343, 254.03124731761093, 254.53304466610174, 254.8449585820496, 255.25855668375274, 256.72706060818479, 257.18303650193701, 258.0293371672654, 258.28514091253942, 258.52793092669771, 259.7654839193321, 261.30945071422548, 263.16937529924178, 265.14867922781065, 266.23659976824842, 266.76505345004881, 266.85552949780038, 267.18493111434725, 267.44978907634629, 268.38292997250733, 269.44197540040142, 271.08342717529564, 273.22878931270787, 273.3541604722526, 273.59407509979275, 273.97719590959196, 274.69197813364156, 274.91643231163317, 275.5047021824501, 276.35530935708931, 276.75892711160344, 279.1761527802513, 279.44078760263534, 280.56411490683115, 281.41963706543669, 281.89837991588547, 282.96652788023653, 283.79501996625197, 284.81473213991205, 285.40632448498707, 286.33792029438882, 286.89048034165057, 287.65659392715884, 288.17416056580089, 289.25331573626107, 289.4334251774435, 290.98919085970232, 292.62082090211322, 292.75259973316992, 292.95731133900119, 295.50703928668463, 296.71060310527594, 296.75901953268595, 297.6784700616567, 297.73622559300077, 298.93887879923471, 299.34744760333581, 299.51258784971981, 299.72528221322455, 300.54746600735746, 301.320010888328, 301.4002625230134, 305.49192945082336, 306.35895596074386, 309.12474839440699, 309.27551071587641, 310.57023651591123, 311.86386321531535, 313.28796506804775, 313.31969106858696, 313.45724915972005, 313.90723117638311, 315.72867233843863, 316.10758958670289, 317.86522162713413, 318.19023049276655, 318.25989649108686, 318.54234902898003, 318.95387538906249, 321.14229004711143, 323.54247316047639, 323.71239222758476, 323.91932445788581, 325.91961842427332, 327.25747551127102, 330.54392773166637, 330.80850927310132, 331.25863986541736, 331.96939626008952, 332.43328296700253, 332.66486341780916, 333.29091970323009, 333.33611938294916, 333.39514322993512, 334.8251929867784, 336.02755560141384, 336.42237658783995, 336.98723717687841, 337.61771521058188, 340.26271393412588, 342.11899819410928, 343.26520812193331, 343.56209074438635, 345.5976956369301, 345.73476315780596, 346.05952206909433, 347.92387866500951, 349.85490193538845, 350.03637305793552, 352.42008806449803, 353.37299007959473, 353.54337752865189, 355.74723088744167, 357.23282104907321, 358.45444758283605, 359.01723059526216, 359.44705918799929, 360.9725291514078, 362.97995971655382, 363.03753147367502, 363.10141775499523, 363.20452131880819, 363.82775134220037, 366.72815396493309, 367.94134407459188, 373.45089673730513, 374.62937508261348, 376.68262266143103, 377.68223661060034, 377.89347675956679, 379.61246435951313, 379.72293813716766, 384.27810963384138, 384.40025313411223, 384.96489688964823, 385.54742888790116, 385.60199463563907, 386.71630996536209, 386.95053788015832, 387.42760514661154, 387.52800470150328, 389.20871204905478, 389.73686656734077, 390.47535893580977, 393.48961831121949, 394.62111810463409, 394.83274984356314, 395.17917766750003, 395.78407817324529, 396.74019436001868, 398.29046839808518, 399.08405887722245, 399.42928523063847, 399.61837373580579, 400.13376758075282, 401.51546921432208, 402.20154136234885, 404.11698928981662, 404.26750652633831, 406.8599559286007, 406.94031672293528, 407.58777128207174, 407.68760218754107, 409.33110436982361, 410.00434412303514, 411.51660788480899, 412.46976252159868, 412.65982510586934, 413.74858484025594, 415.41364709825746, 415.44680745040972, 419.35739563603943, 419.62825392738375, 419.99608951841151, 420.18853898058182, 421.08886437648169, 421.20303873301054, 422.89856948728089, 423.04876437587217, 428.72651526573077, 428.85575216114142, 432.98671861928904, 433.2465600859444, 433.63544333038749, 434.09949124915499, 434.14585693066221, 434.53870184293714, 435.14199604179282, 437.1151265809994, 437.8216546530947, 440.37901335189576, 440.53091329645139, 440.76713052976316, 444.00421029256802, 444.22222732558788, 446.65393544084651, 446.85992418727159, 449.40428885932835, 449.93897220071511, 450.73493745471097, 452.69834903014504, 452.72255892950062, 454.84065090352897, 454.89002655690769, 456.6339885946071, 457.86410511623734, 457.95254216946267, 458.03961800261317, 458.41393052668843, 458.43773089463133, 458.75502489304324, 459.82338384237141, 459.94755265893815, 462.41659682695337, 463.6744444840441, 463.79186775438478, 463.85697956358626, 464.3083047316108, 465.66991817060534, 465.79859171051862, 466.01643201032221, 468.13870556887713, 468.66916337817639, 468.75520591118078, 468.94098892817095, 469.44217566179537, 469.5058068066275, 472.16169898716288, 472.5952441362079, 472.66093311948782, 475.57784085376784, 477.10947414869798, 480.19538857130283, 481.0586234942719, 481.71634146341285, 482.07717321843126, 483.21026709841533, 486.05901582181002, 487.12660160216404, 487.65427773806988, 487.9513730135983, 488.6956065945426, 489.12264021009747, 489.94062241421932, 489.9757875082056, 490.45990807147246, 492.63272429521959, 492.72194776015834, 494.00158139709401, 494.38170714516434, 495.19397299526986, 496.00622029968105, 496.03359615780317, 496.63145025451206, 497.96251565708917, 498.71547304659003, 499.04240279268396, 499.73419372155882, 500.28237447088594, 500.54414069100471, 501.71928834454104, 502.6846136220567, 503.37027224042356, 503.79216588602725, 504.84088753170374, 505.75085184699259, 506.00844153064935, 506.48308439968156, 509.43456883242379, 511.30010206542516, 511.34537213837535, 512.4155965396177, 514.86876251224305, 515.31260176019953, 520.00467874605624, 522.44371565233052, 522.63768270932394, 522.93768236060828, 523.10968330449646, 523.34704609007815, 525.32690248681217, 531.34115583129937, 531.66986946549923, 532.82077814977333, 532.8410855197061, 533.17173818275103, 533.32149355902379, 534.73648015222102, 535.03051149642272, 535.71042262934759, 536.07194593432473, 536.40733274501474, 536.48921350949468, 537.45560097928399, 538.18857692658901, 538.6147954596762, 538.69817819599723, 538.72307035309575, 540.38897763788725, 540.5266071422833, 544.69912645420493, 547.92579757461021, 548.78761529997234, 553.20772521968604, 553.46333319641519, 553.77546742125151, 555.08512566385753, 555.18195316779759, 556.73501913419557, 557.32199370465526, 558.13320718290095, 558.93918980386434, 560.02455029648809, 560.23915721480478, 562.90767513631181, 563.43618425983482, 564.25773151036856, 566.4280601100603, 566.57727870113729, 566.99912969165132, 567.47183422292437, 569.29266602494647, 569.78086024541972, 571.53220770693235, 571.99686860843167, 572.47118038997269, 576.73533641931328, 577.7536969334268, 579.42101032983965, 579.45983537521579, 580.54611904466901, 583.28605244413018, 583.60679437448402, 584.92325512175523, 586.52299369677849, 590.24169366102672, 590.45306125327556, 591.98813807560646, 593.10804692082456, 593.45080996970307, 595.13523532180909, 595.52219806834353, 598.13424396871096, 600.76095579333446, 602.35782153072421, 602.59430392404647, 604.28673895691543, 604.42942509125123, 605.77485727479552, 606.59001736659047, 607.44995854050615, 608.64909022242364, 609.50821796230889, 610.57240823825214, 613.84305346472081, 614.15427861143928, 615.31707813324783, 616.84197712159516, 617.77045714561928, 619.50627175786792, 621.27386033038499, 623.83142166162622, 624.38205457868878, 625.02947829474931, 625.76874959510371, 626.11196175072541, 629.29866846327673, 631.37098639474209, 631.7616384331568, 632.22262295467272, 632.56666623230922, 635.00623298227185, 635.05660809157735, 635.30151307854851, 636.69384082930287, 637.08349970093388, 637.86893122941206, 642.02753829939525, 642.6887721638609, 645.54885016304513, 647.41187763080131, 650.86220765470932, 650.99711012640466, 652.85959002080062, 653.10438177975664, 653.50708189120826, 653.76429403937698, 655.23498409812385, 658.85282288529106, 659.53893124798515, 661.27138578466349, 661.87415419198123, 662.62704975370343, 663.28031875272825, 664.06777521443314, 664.45605916123168, 669.40307967451702, 669.51836660756851, 669.63091578035608, 670.74185632859599, 671.39723775741948, 671.70678366937364, 673.53104224422157, 674.86892962195577, 675.81722021446012, 676.2382122766079, 680.20618346441381, 683.04859031630883, 683.08617925431258, 684.75519141180644, 686.11348268512984, 687.73710522782517, 688.00593691580661, 688.04740450272857, 688.914839991348, 691.45889928400481, 692.06003972572523, 693.80532399563015, 694.24454572148341, 694.5517138175735, 696.36649476065691, 696.68216350216528, 698.13314124033388, 699.28366680642557, 699.44780063881808, 699.55486082049026, 701.07945848817917, 701.13208644892757, 701.72427535031602, 702.0226878217461, 703.36934133169586, 704.73955745294359, 706.92091684626848, 706.97206907311124, 707.89222340567494, 707.9366075514323, 709.96314698585309, 712.00247687552053, 712.6599877235883, 713.08485849493582, 715.48678679609941, 716.67874026247864, 718.28029691247161, 721.15133604806829, 721.25714964271333, 724.3018074125647, 725.10953043488405, 725.47631446900107, 726.80941912649791, 727.67814192733022, 728.6003562843523, 729.4097272223396, 729.73237494996033, 730.07909400341623, 730.44896413326092, 730.48415894042671, 730.53632948472, 730.82649128569801, 732.19268579404093, 732.29351588343286, 732.5280694138587, 733.14760730219552, 733.21913220881891, 734.96878670750789, 735.22964652053167, 735.81058133795761, 735.86420706708725, 738.09787713247715, 738.53831992495134, 738.83615215359168, 739.70309007164076, 740.452180619204, 742.6066285429215, 743.5938960454863, 744.31430454088388, 746.54330264084842, 746.93743724859075, 747.85983567603569, 751.40965445315589, 751.52656568883344, 752.03221978421936, 752.26358018043948, 752.28891874458691, 752.3682922349409, 752.51557286835907, 753.04890405845765, 754.54052311186069, 755.10963986139097, 757.68123161141136, 758.82874529621733, 759.88325591085049, 760.06509550414341, 761.68355893382136, 762.66203490935811, 762.91440750431525, 763.17884475447909, 764.68311239222317, 764.92290302299125, 766.31692830013742, 768.4450925668732, 768.91495154452082, 769.66161772467183, 770.19469613032368, 770.72605627449616, 771.19195195299585, 771.68815902829715, 772.49880639899641, 773.92934086587127, 775.03197380997096, 775.1320798606431, 775.20464430327377, 776.48492316079762, 776.93327391210039, 777.24307455127098, 777.71704407250013, 778.02780978318981, 780.05848970852196, 781.455016673003, 782.11700023476294, 782.48694944094359, 782.52688626009922, 783.78853109767613, 784.56472528808342, 784.93383067330785, 785.16197898632652, 785.42415182236357, 785.57926036408287, 787.10612343979665, 787.53899479496454, 789.83140677629569, 791.72096282212976, 791.93773230713907, 792.61699150559241, 792.68384865108476, 794.52683443527508, 795.86477979922245, 796.95061016047771, 797.13068871009, 797.71443102729529, 798.45399068205393, 801.75875820597821, 802.3002275672219, 802.90370628436278, 803.15797181159621, 803.93696831583668, 804.20208708011751, 804.58419850777761, 804.81015874127991, 805.82857332146784, 806.94351839200488, 807.76072170912641, 810.92227744504794, 812.01227711044737, 812.97509587821708, 813.00157312401439, 814.01426104126097, 814.70229383673689, 817.2338830433871, 819.10055912535586, 819.47915185720228, 819.61263017276804, 821.24743629661918, 821.88928436635979, 822.0724458400324, 822.6717657031063, 823.36373782822238, 823.43487179781459, 823.59136151167354, 825.67947023602505, 826.26359567173938, 827.23094099000696, 827.7904783341836, 828.67080979214597, 829.25411949460624, 829.90158006607237, 832.03839696843477, 832.07609631243213, 834.79438939399938, 836.50959354560291, 837.06142047959247, 840.08065553760491, 841.18744873424919, 844.60725555394788, 845.30620534849561, 845.59728867644924, 845.62928569664143, 847.23370670726104, 850.55974529217247, 853.10206895954207, 854.28932866541163, 854.57311775989854, 855.58740193162373, 856.13728271681032, 856.71425141136478, 857.07197219324053, 858.02221553671484, 858.66381095239569, 858.71746135043202, 860.93482167519528, 862.30860903721464, 862.38012537027669, 863.7676569731135, 864.8309712681239, 866.43583403954756, 866.71747572326058, 867.60558753098894, 868.78868415119837, 871.34654483494785, 874.50181505605394, 875.67408486046929, 876.45320235620454, 876.52572391775402, 880.41689544028225, 881.3780763968748, 882.48735821858259, 883.08551864661672, 883.12056442022651, 885.05840848644698, 885.11036722644883, 885.45664009838777, 888.14119486237041, 888.61555552502921, 890.19790965695631, 890.40261567779385, 890.59970758905388, 891.71183547872022, 892.84823544171149, 894.47118456995906, 894.70088380507013, 894.89046376365286, 894.91217996150567, 895.8307236889641, 896.7896509754612, 897.9539382671295, 898.96925501829423, 899.7616389285165, 900.25049542015904, 900.52841908212633, 901.49822524992533, 902.39633800088677, 904.88957660499716, 905.73770361190304, 905.8197361279349, 906.03258603157451, 907.21647196549839, 907.3937703010879, 907.96867135286493, 909.48320230290062, 909.69779071515597, 910.50615007928161, 910.82737396238247, 911.37556740558489, 912.83514934805123, 915.53568882867307, 917.01756439914971, 917.89132059204348, 920.48633179004651, 922.70371718610181, 923.33360887942592, 924.13353322855312, 924.57440712661696, 924.72354612673007, 925.90294922144108, 927.3482273522676, 927.77749519163615, 928.24930998969194, 929.14150427582172, 929.41848144531639, 931.58410512087744, 932.54174771250734, 933.03781292986116, 937.669167822899, 937.90351242609688, 938.10571046968778, 938.35902797596543, 939.12756417518358, 942.06574810559778, 946.00836436353256, 948.24919149766242, 948.390691224634, 948.64486223140568, 951.74775797969119, 952.01178236149076, 953.42677424489648, 953.79634069436565, 954.66139568413041, 957.88666150217375, 958.7976934260754, 962.08505303941183, 963.80148221818922, 963.90748288113969, 965.45837391540249, 966.10671741357828, 966.80967594023377, 967.14767348746989, 968.35951069223802, 970.158754665944, 971.41712922254817, 972.6080258227812, 973.18598415188126, 973.76740104871431, 974.81864338124524, 975.42333083204062, 975.67094131565375, 975.78951441849176, 976.7695681925394, 976.83607736451438, 981.45971475120598, 982.21058266294631, 982.83778893197484, 984.16519027010065, 984.24747893393896, 984.29793966961483, 987.09096526694736, 989.58686689403339, 989.70520241600104, 991.13826279952843, 993.30757159325503, 995.55347408182524, 996.88715508942335, 997.1621722318431, 998.56626674300344, 998.97414648494384, 999.47978318636217, 999.74595573212707, 1000.4471652736421]),array([10.301927179647286, 10.325851174640029, 10.41626783248957, 11.652125779831328, 11.999741104884937, 14.573984567965727, 14.860665788300897, 14.924725131747161, 15.180151433558038, 15.246505088339946, 15.970553863149382, 16.555871862994159, 17.667894160785565, 20.637235468216801, 20.937564910058313, 21.447040621412366, 22.365878636123018, 22.513602940780618, 24.042191432628808, 24.542472724206068, 24.814003442411178, 26.356275259551122, 28.805984802140355, 30.067576950423923, 30.816817624328049, 30.966401509196185, 31.321603383726043, 31.37231435445651, 32.895842888780102, 33.781320107310499, 33.858135020833835, 35.878747300949676, 35.936621980411964, 36.555762724695057, 37.243328787511473, 37.36468554306812, 41.205038965183803, 41.802646344251698, 42.233302084976124, 42.948759230279812, 43.624512563096395, 44.327317814144877, 44.936124925263599, 46.620596272490715, 47.023827958408098, 48.781846792004288, 51.499707105488767, 55.553209330116758, 56.341078638105195, 57.313451024247065, 59.767709855694235, 60.166010680013841, 60.310104493828689, 60.469956334687694, 63.646286548764266, 63.669038271628743, 64.354962856089713, 64.693513327612209, 69.520303816267301, 70.811183220042338, 71.170769503322305, 72.030140815448505, 73.355351205025002, 73.444665708399228, 77.017205924452355, 77.370253341165764, 77.493701250564627, 77.887467549067409, 78.577765751096564, 80.060892138417429, 80.689012568038024, 82.61722943904438, 84.926944336001355, 87.308590490992955, 87.426368420619667, 90.81889649105301, 91.260925566050034, 92.983506138575393, 97.857123046043981, 98.69952044480759, 98.816272739566656, 99.899377427776102, 101.49405807703532, 102.46910668336426, 103.17514276497249, 105.31459932936119, 106.57204326307691, 107.49402251083883, 108.31449851406823, 110.51521362695588, 110.61033343747268, 111.21598125207913, 112.25763167104019, 112.61345362357265, 112.70953241933368, 114.52414554776453, 115.1219927305431, 115.75183338604552, 115.95464248720639, 116.14233904977502, 116.88763978142563, 117.89683432473529, 119.33259790345979, 119.53843712553638, 120.64419921358068, 120.89105661869883, 121.93627315824399, 122.53100804127828, 124.08963207597057, 127.78528682601304, 129.17985093483483, 131.02974224453502, 131.14702998120634, 132.46305246821677, 133.36676255070321, 134.68176992813764, 136.84542097462406, 138.84775929041788, 138.97633064139561, 141.47090014484877, 142.19558130551752, 142.71896704208027, 143.39901600493883, 143.5169584980095, 143.56495666136581, 144.35164591015956, 144.38557651881618, 144.86300845183158, 145.04780735069917, 145.1468784978282, 145.41512987377595, 147.38045482657245, 147.81945241477882, 149.32883582454892, 149.37808330582021, 153.51709894816901, 153.64420771507056, 155.03544588400948, 155.74460407522216, 156.34828567608477, 156.87535079417717, 157.13067479194174, 159.4229047799497, 159.54995282023987, 159.98413954809672, 160.2199183654489, 160.87086552082499, 160.94768350942996, 161.74399933679575, 164.83397624196175, 165.24151057268512, 165.7241485543295, 166.9730542978063, 169.00691051890161, 170.33633344066374, 170.56657453607735, 172.70960145967754, 173.55811500595087, 173.61460461999408, 174.37798196125675, 176.32876661927438, 180.19170040669624, 180.47404098965518, 180.81316686994967, 181.28553183442611, 182.13143778804465, 183.36312267115406, 183.65730551519061, 186.78959881198392, 187.96937937025788, 189.04378455146366, 192.47643886025884, 192.74685931674708, 192.82286816126884, 193.22444434411565, 193.51350863026727, 195.00157424533114, 196.88680458842128, 199.10977089808685, 199.75776178992342, 200.04047076437735, 201.05789529317869, 202.51233976474057, 202.58510392461753, 202.72745981038756, 203.39616048500289, 203.88886291719919, 204.04580866122421, 206.20325806211983, 208.83900328672016, 210.48892093962442, 211.17172696145684, 211.64650858023816, 211.96634484870208, 212.29765069377024, 212.69462149426133, 213.22518459678622, 213.2465416174291, 214.35704581253779, 215.16674150975606, 217.32720099893905, 217.91498373084411, 219.76493735546151, 220.56125939065564, 220.86904555466964, 222.02237005588916, 222.31992230034803, 223.10179997468225, 225.34743910202661, 225.47745427173857, 226.10353126473251, 226.87969470289568, 227.36358007294805, 227.77433119980589, 228.00843142326468, 230.71674463339824, 231.15203557532874, 233.39373037244511, 233.60462176903297, 233.85510697107162, 234.86766177571801, 237.12961051291063, 238.62674115098255, 239.40927102121483, 240.66054542057449, 240.69892783126164, 244.61020608482281, 247.05198527151035, 248.28047056895181, 249.11992105223732, 249.77369397367329, 250.00500196619188, 251.14925051193137, 251.7752873766409, 254.79594643859295, 255.26528158722581, 257.09185888736278, 258.23614866542869, 258.45724364913372, 259.39238734881559, 260.32461707860153, 262.53295129819799, 263.00563111360628, 265.20382899790758, 265.46243474537329, 265.75457833755848, 266.04214253300006, 267.56399139106742, 267.98175782642096, 269.85623428128775, 271.34136131454943, 276.02840518401007, 276.74983518823399, 278.04539470628197, 279.3358954219857, 281.08140384274668, 281.12221140151343, 281.34223588593989, 281.38986222577807, 284.32556906319462, 284.45657995373534, 285.12401795897534, 286.09417645174005, 286.12198687112937, 286.73628525014442, 287.04204587593398, 287.65759878327339, 288.17052272310269, 289.05915658579164, 291.06091929650307, 292.65538581120052, 299.17270129514333, 299.4007139112972, 300.15473902553174, 301.40112701903655, 305.11825273704892, 305.27821134347357, 306.89948398881148, 307.62419819281399, 307.80287671721203, 309.73019168946428, 310.47223491568604, 310.6087468507248, 311.53912272762142, 311.62575785992595, 312.75008759479192, 312.89467868916552, 313.70621642398004, 314.60732849769829, 315.14635740870148, 316.27336334964292, 316.87229458120134, 316.96676796728906, 317.64069529782643, 318.83865300439629, 319.10590584852497, 319.12973813539958, 319.31331491016778, 319.39047709035503, 319.65601742446222, 320.17938721967522, 321.20568875151594, 321.23199624815237, 323.67877445340332, 327.37561356516522, 328.09450862324775, 328.36086217501969, 329.00675156651317, 330.56214468330592, 335.29428125429496, 335.73824221581884, 336.86735086482355, 338.91742980353376, 339.99702687141576, 341.63677513015398, 342.03112424400666, 344.01732203444732, 344.59137121519922, 346.02927798527702, 346.77766012654632, 348.04285918102664, 348.59107639646174, 351.17823922983786, 351.28940815706437, 351.99209275721495, 353.02691076719282, 353.09153438671154, 354.84658175711064, 355.63691656364, 355.71040020806106, 356.38417558602453, 356.65645923298905, 359.41968805393503, 360.23869501200278, 361.18382934894123, 362.30685574855653, 363.24199878366585, 364.96839633953044, 365.06681164491567, 371.26833785920059, 371.7193219445075, 371.87776917616594, 372.91409720619401, 373.75223152391646, 375.39156882226314, 375.88152696464437, 380.4270180265346, 381.35787519640513, 383.92645401724667, 386.63355444925645, 387.91152658079443, 388.23831711419018, 388.73984800425819, 389.11441136345985, 390.78176816600484, 392.50059200055972, 392.53265301035157, 392.83158750253818, 393.17273934792451, 393.40065487835483, 395.43959001953584, 396.17427789221745, 398.7921650813982, 400.30124678313996, 401.02329007514953, 402.32860391251103, 403.23773356590732, 403.29074375447681, 404.95092033508507, 407.1900636105928, 412.23489338256866, 412.80010208869174, 413.8135072965855, 415.36296837940534, 417.37575423729379, 417.50816210034458, 422.18095098700246, 423.90718221422742, 425.41839932611759, 426.12279277042222, 427.2392294167289, 428.04202909887016, 428.12345513306917, 428.21557803255229, 428.90168269997957, 429.18104168163501, 430.78286389677606, 430.91226480807336, 431.56833846206121, 431.66560953358294, 432.16473657765533, 432.46375982692462, 432.78504722901602, 432.85132098342137, 433.17904242882082, 433.59562286378014, 433.98507698352716, 436.13203459859096, 436.77927633843916, 437.66685202881706, 438.81408894066453, 443.54353518870636, 443.96251480763698, 444.18166801629872, 448.31784509976143, 448.53575237306364, 448.68865735023076, 451.65093489300386, 452.43444096318711, 454.21836036976958, 454.46453677199531, 454.60710193387212, 454.89953208349601, 455.19088748638228, 455.33605176011042, 456.40419315226177, 456.6693529963967, 457.87464636608019, 460.63669904379213, 461.34243593782998, 462.9290175061422, 463.95245623536329, 464.40716379995104, 465.13512204335257, 466.11003543326416, 467.75634297556525, 468.77988080288668, 469.30838038754672, 470.72383618408332, 471.81657725932462, 472.14365546465501, 472.57171060082158, 474.59614891795002, 475.67519760380975, 476.79892617976071, 477.20923106755703, 478.628918732165, 478.73672039073301, 479.40049685611257, 479.82675608036544, 479.84958798284418, 480.00328491979462, 480.91309106073078, 482.64361818105243, 484.82078912830349, 485.15888663082558, 486.22050416945171, 486.75249151063116, 486.77327140840907, 488.22981985710277, 488.68237404696112, 488.85258564593687, 490.07613150079266, 491.16365230751745, 491.30948652083185, 491.61281156233383, 492.02189807183163, 492.29860320087204, 493.06912826355125, 493.66803935432591, 494.3327420145277, 494.61656044285979, 494.9480788788606, 496.12862012036447, 496.26948237025556, 496.46348679489569, 496.85112009045633, 496.87974555370107, 496.96585099137593, 497.29501781764725, 500.09987752138687, 500.37261231290711, 501.13866841434515, 501.3191982857432, 502.19200668624359, 504.42774724947128, 504.82328340124235, 505.64916171550641, 505.68625480818451, 507.26759785264153, 514.05982562724409, 514.14444345914501, 514.47214753371361, 514.76703879288436, 515.28459807526997, 516.60817994510057, 516.6683888488509, 517.4458062102641, 517.4749901994312, 521.19233288504029, 521.73710559516803, 522.40956540359468, 522.68298689969788, 523.71459563188557, 523.78674180314545, 524.77614153584977, 526.97192432460588, 530.10671289018421, 532.62174016385597, 534.10649658317664, 534.54412724321276, 535.59358579039019, 537.93909820247518, 541.58735981478856, 542.4797122198944, 542.76049563990557, 544.22874300442936, 545.22605086887529, 546.0309240151671, 546.28272124039847, 546.6425737290491, 549.41884536467899, 549.49206986901288, 550.66361793264286, 552.31632598145006, 554.5926807358469, 555.42359867239122, 557.60951151720019, 561.08862636769243, 564.07393292797781, 564.26753647093915, 564.41952305594896, 565.9666601311103, 566.15104393254592, 566.60009353745136, 569.3781311217158, 569.74695511552977, 572.23119074852264, 572.29604903636891, 572.93157672640336, 573.11357265884919, 573.48068112477256, 573.8194890176718, 574.46389340150222, 574.78884728689593, 575.07820009689817, 576.72837200253218, 577.33341715015786, 577.62326548599617, 578.74123432415149, 578.92132246497783, 579.30872035140385, 580.03043216115589, 581.52299347320491, 583.97510250136042, 585.90773099447199, 586.54372334964239, 586.67716182785989, 587.32228963713931, 587.79800294636038, 588.68886998774906, 592.62710781318458, 592.68905652892431, 592.81725943723836, 593.14237993673657, 593.51266759962436, 593.75140940286485, 595.41710049471885, 595.46277367813411, 595.78032295879359, 596.66217939786748, 596.68754843078386, 597.64525568945885, 597.98084520946122, 598.01264605507095, 598.60004270704349, 599.6703183768567, 600.13881214643425, 603.0735200116485, 604.20397375540813, 604.79600412321565, 605.76376060500172, 606.09745839949539, 606.45258002481216, 606.48121898188731, 608.40735607898534, 609.95158871396188, 610.023241996808, 611.62258511634809, 611.65378268425695, 612.41325157005269, 612.89242341512011, 613.45292502050904, 614.50954736594088, 614.75691167828313, 617.93828615422012, 618.15535280488984, 620.43618549383802, 621.21215593097986, 621.4964034848465, 621.84442559134663, 627.35375116695502, 628.61364670387195, 630.41845119404411, 631.42477266345895, 631.56936923894511, 632.13406771316943, 632.41726097339654, 632.6353712941376, 633.13196252176817, 634.2869437614155, 636.66840511489511, 637.94540727844571, 639.14067235724428, 639.8026320659136, 640.08664306372452, 640.56017395743027, 641.91489815700209, 642.83794630761372, 644.38217821654587, 645.07467502956433, 646.1144119123561, 647.01924931519329, 648.27018402461522, 649.57115762998319, 649.63068520491629, 650.15535589837543, 651.58709502899842, 654.73050812529857, 654.83137601228009, 655.6364993141467, 657.79366123186219, 661.40734274954571, 661.60727643664859, 662.429833377558, 663.25391707313906, 665.45865799607759, 666.24231771599887, 669.43934398357624, 671.62541505572653, 673.03482423385071, 673.39850663581569, 674.90919278619663, 675.03251701321506, 675.36879488594604, 676.34441403447374, 678.17837040550228, 678.70225212941079, 680.19773376562489, 681.79444762548576, 682.84502955926541, 683.57097523047901, 684.31349744930935, 686.26626647052365, 687.01236345652012, 688.19912386622752, 688.92182410564612, 689.6604858169228, 691.01905221364063, 693.00305277791733, 695.39409088085733, 697.08038962794456, 697.42740857939452, 697.46973041733509, 697.58323117453449, 698.03422771025055, 698.41853921789277, 699.81572611142519, 700.56821829132093, 700.68717423092176, 700.8093157481303, 701.01620481268799, 701.49243113320222, 703.30478401971084, 703.97956532449371, 704.43293426642458, 705.90907229211666, 707.78962650455117, 708.12295167594573, 708.44077588997959, 709.04606897344377, 709.26175092216181, 713.69887543137418, 714.21465624115308, 715.26296173486287, 716.09599545646654, 716.14622545772545, 717.36839815739336, 717.41484505172775, 717.65470178988426, 718.74104034192294, 719.71710798561082, 720.31122590795781, 721.15228474595006, 721.32496085665912, 721.89512141065336, 721.96635507200415, 730.10768541793936, 731.80879572225513, 732.35148213359241, 732.74996611762083, 733.93893193078839, 734.92839273337154, 734.96207502838649, 735.52586148467299, 737.27299860135531, 739.44739408548753, 740.26724444465617, 740.78206696016241, 741.48526248762403, 741.53926930099476, 742.44399125969437, 742.67019137168813, 743.33568043617015, 743.50969755810922, 743.91778973082114, 744.14869354201244, 745.64677947293285, 747.18306386028075, 747.85894773715415, 750.53884568359263, 750.60226874654825, 753.97203709005089, 754.11970359185148, 754.803580897752, 755.00900609135795, 755.2200001717581, 755.73401174592595, 757.82898886111411, 758.27222247164298, 758.30707558080121, 762.2973848656959, 763.19880790356626, 765.49999595813813, 765.56312084131264, 766.77769874161072, 768.29658786853327, 769.23083038135951, 770.6626795745517, 771.09144488430661, 775.1743306477307, 775.46181997477811, 776.01943323028013, 777.07351886251899, 777.47736818151839, 777.60937124258419, 777.72353235307241, 778.32448895724701, 778.37876768557771, 778.77961018552389, 778.96165202971804, 779.97631467143867, 780.25636066100651, 781.97739794570577, 782.90194807342391, 783.19054518473558, 784.4865021954904, 786.23283564110477, 786.31433916369667, 786.55030520087382, 787.19769277430476, 787.53055452799924, 788.45220167931348, 789.47867411263553, 789.68883942588548, 789.84623827335179, 790.13137053458752, 791.15526063723439, 791.24051120160004, 792.36797500047646, 792.51909802455555, 795.2512757753401, 796.0112453902924, 796.83349307069, 798.40957414958939, 799.30159139380157, 799.44708133371034, 799.73435170722939, 800.90775552208993, 807.29181141492063, 808.95523722145685, 809.33004686735171, 811.26614334148167, 811.32978135244593, 811.65936118076297, 812.0928622060926, 812.35263763492571, 813.63533091539523, 813.91548455281395, 814.10638321516967, 814.2871767810318, 814.66300515178671, 816.12702866508494, 816.49200392183707, 817.56991444358289, 820.3612062736878, 823.46001119107348, 824.77106606895904, 825.1326154095068, 825.41408531565537, 826.41569116959784, 827.3245345562899, 828.55353582983673, 830.61784677443757, 831.46524625543555, 831.51261909590937, 832.67350507153253, 833.82533334206687, 836.54178353495263, 836.78598885175313, 838.24222959508961, 839.00916701904021, 840.24831050560908, 843.24817306676766, 843.2723001783454, 843.30429750259907, 844.19118761510595, 844.50558516854721, 844.80998118271873, 845.03350099011925, 846.04676820496036, 847.87925094574655, 848.74677882286255, 848.97477582003967, 850.42335717818582, 851.04599647892042, 851.46059182798876, 854.474861326157, 855.12729926877012, 855.67637152794555, 857.52169599508625, 860.06421385734177, 861.06659536555389, 864.18239584295839, 865.36643475505537, 865.61784890076535, 866.56242712590392, 869.19690602213757, 871.04984724582641, 871.26750319391329, 871.87758310032075, 874.39195384351774, 876.83771531886396, 878.14879640167021, 878.53023317347618, 878.7119779690745, 881.76780293711397, 882.01046631050826, 883.35740501716828, 885.35301675383528, 886.63188006589542, 887.43396601954828, 889.25521321329234, 890.40040514362147, 890.87197460898869, 892.02123844986295, 892.92205021637733, 893.01256497202405, 894.14094620168999, 896.0020445928476, 896.60787098458923, 897.31472585278789, 897.45783742012679, 897.8393264574604, 898.20135883185242, 900.91027966201136, 901.1307075218856, 902.61458785316881, 903.4021739199103, 905.38083635362182, 906.14224605090408, 907.09149081669011, 907.47011013335691, 907.57416089051401, 909.52572026978839, 910.42244324943113, 910.79145760312042, 911.37220654085957, 911.94290888683042, 912.17728248568824, 914.13243397160397, 914.47676693845642, 914.89587630361234, 914.91734356223333, 915.03290181844602, 915.77827322551946, 917.52941552955463, 918.54748323301942, 922.43785501786942, 924.82190347640528, 926.21347333926929, 928.74992318231659, 928.86662720764298, 929.07116064691184, 930.3001051070014, 933.0425132659733, 933.9245413169067, 934.2678081016428, 934.6280488850615, 935.41443083308775, 935.79944822753021, 937.38083506451733, 937.95898359538353, 938.72483259028047, 939.52987502974474, 941.16489306890401, 943.21446277859877, 943.90454931021907, 944.32696371878558, 944.79813428782018, 948.72230295642112, 951.65254839538613, 951.67678040045632, 951.77822401352853, 952.54344030343282, 957.10956212216104, 958.18584814718702, 959.47183686336075, 959.79446926039043, 962.92639302787586, 963.18488277401707, 964.03906946259144, 964.15801880097297, 970.24037714068561, 972.46064306206438, 973.4581060630419, 974.15066340824887, 974.33058468496392, 974.75931955994258, 974.87442186881844, 975.26167811138509, 976.87025767630348, 978.40074776829249, 979.00315468095584, 979.89851578539685, 980.68114882010275, 981.39771479082651, 981.99799995161231, 982.23165502103268, 983.1626580913063, 983.62329761621822, 987.24170800524701, 988.22748535423523, 991.66207397992616, 992.1938157018501, 992.35110016027215, 992.39522627545125, 994.23373996826854, 998.33770950988924, 1001.6696441408766]),array([15.648031592398304, 16.151987034863595, 16.860634415408118, 18.364493567909602, 22.15358696894079, 22.22093577538833, 22.706959961541177, 23.188778872878189, 23.86181592410038, 24.374935447903034, 25.207491706660495, 26.013528488633028, 26.758852408669952, 28.086926657171968, 28.168759743444344, 28.901413752366107, 29.140212885284832, 29.262121920731015, 30.612579802968956, 31.532173729698137, 32.168845735543286, 32.264764549842532, 32.806438078743852, 34.485027790161141, 35.071591527500729, 35.270930574438459, 35.726867608897074, 35.816086741980953, 35.905632212008193, 36.447577514957786, 36.890857872879522, 37.060630880129139, 37.532429205087062, 37.966797793969576, 39.399778760797439, 39.718296728643786, 40.563919735190886, 40.639073414033589, 40.986681122411369, 41.026208656662085, 41.44645873962525, 42.532464546823149, 42.769345589905278, 44.086992116847803, 44.334788989517151, 44.427532382652082, 45.194875586889957, 48.180840569428597, 49.784694016425505, 53.773706805793822, 57.640317283546281, 61.79963957212378, 61.963390111999857, 64.246383825768078, 65.654654799854711, 65.76634524937289, 65.919923047784465, 67.793184917395791, 69.807328689941414, 71.916377811451937, 72.141163736792819, 73.156519100622518, 73.78915758791257, 73.856226284939467, 75.968811775027234, 76.059882229192851, 76.733046898364634, 77.072163384174914, 79.101032234621854, 80.401443289746808, 80.45086716872197, 81.887169505036809, 82.574756989101957, 83.958347362794811, 85.865822834951459, 86.492701009566346, 86.806096142254944, 88.202115593167605, 88.918288081479972, 89.883790310958219, 90.367799966877996, 92.04494815342531, 93.006848890643241, 94.11851159454514, 94.823995846845492, 96.217994880333592, 96.817374551032756, 97.319761209418914, 98.232123215375609, 98.627524489025944, 99.543222932003573, 99.62955115395421, 102.01667968046118, 102.78574238203167, 102.98996614368089, 103.26420440015139, 103.86212745689068, 104.21150470779654, 104.91318059647853, 105.96941201967708, 107.23270795768421, 108.12852951632492, 108.17250650418002, 110.85400375864164, 111.59380819480867, 112.29748258819019, 112.32513242587979, 112.41734071089675, 114.61383151886344, 114.94276346837685, 115.13345824206212, 115.28020514120853, 115.78430565686884, 116.29725149585244, 119.42427854815939, 120.58008089053867, 121.44717913390109, 125.43586717479619, 125.90012842058634, 126.03124966615513, 126.76778134068687, 127.98686592102496, 131.47384272701518, 132.75838100018686, 133.56856578397296, 134.43032291218319, 137.21128584886694, 138.76230447878982, 140.74744801093755, 141.00237235767869, 141.75096581034759, 143.18773526924082, 144.79493786271902, 154.805684523249, 154.97379270778674, 155.08509384912557, 155.78723503893335, 156.1569443115711, 158.87359826462807, 162.21451464044193, 162.54828764764918, 162.68338329684607, 163.90356204433743, 164.87848151514299, 168.08404344581294, 169.14055972458499, 171.24100404621839, 172.60129572381436, 173.21317487809173, 173.74507634947696, 174.62770510106498, 174.84509983212408, 179.3529960847375, 179.64577626595928, 180.52689892334152, 180.92969084319071, 181.57272761068245, 182.27147760140721, 183.21032932596597, 183.30095744466914, 183.51964230853574, 184.18749465263414, 184.42677598527857, 184.67984298315719, 184.86944602559217, 186.58319119209531, 186.96322559896277, 188.19779000721303, 188.33456632600638, 188.48318011473273, 189.44633142009457, 189.49569849617552, 190.13698238570279, 190.33585909689279, 191.1797958601197, 191.2063747081134, 191.31608415968702, 191.62914295768564, 191.65550428661555, 199.4749855942371, 200.51617263716955, 202.61700479493149, 203.46201293118722, 209.8813943359421, 212.06024735357812, 212.1254328637454, 212.5779920194974, 214.96811851663543, 215.8659342157305, 217.15491551418876, 217.47307279397467, 218.26099249799526, 218.38585559823682, 218.68866086420297, 219.13667638264874, 219.19424886313772, 219.47917945772789, 220.31007437311459, 220.57157940362882, 221.11562109015992, 222.82997838116688, 224.09617734003157, 226.20825515515685, 226.84369304568162, 227.12992235183515, 228.12928251426092, 228.42300768255302, 228.93539071316371, 229.06586673806146, 230.32905300593001, 232.70400540096691, 233.67431902439461, 234.29554750811715, 237.77088388584878, 238.00026670056522, 239.40393179992361, 239.55225001807648, 239.98675513421807, 240.82929659164631, 241.15931489758333, 242.53913675275132, 243.47288854232769, 244.57284907100845, 246.08371161721354, 246.64219503085286, 246.81555080711902, 247.37408621381326, 247.79392005772746, 249.7477194292625, 251.14474962494577, 252.4653059148809, 255.19802544506092, 256.58877357633008, 257.02896620490554, 259.55096173336199, 259.95586508717844, 261.86741205375131, 267.87678517475518, 268.44643256579411, 269.57590886707027, 269.71839251319034, 269.83859073641418, 271.95310552255177, 272.67660645709594, 273.54412907051255, 273.98239804487247, 275.82542971065442, 276.77664299661774, 278.90108828174522, 279.85878537340847, 282.43857311107831, 283.39415625790343, 284.83148181371826, 285.90352482654305, 288.2534182297407, 288.95895032792157, 289.34584995738066, 290.05617781817102, 291.41085082274992, 291.8566739627027, 295.71757816007619, 297.25197596779765, 297.36922815534103, 297.69830722182405, 297.90667723803443, 301.82736535516949, 303.05779898811937, 304.499438298916, 305.09916415086082, 305.84853216727998, 306.2958704461941, 306.68596965519663, 307.55369686211293, 310.10137682402058, 310.19737334980175, 311.31609694750813, 311.91770292546715, 313.92357212532642, 315.42960543140987, 317.12255453293881, 319.02646257670483, 320.11729180512572, 321.22324146230443, 321.72324683309699, 322.14199870799564, 322.49160749457178, 322.81775623629647, 323.67920117073243, 324.7073623790526, 326.52788762524756, 327.41756884279744, 327.65000457421849, 328.42057081979823, 329.91998004683722, 332.08586891014392, 332.11232450766528, 332.2434944442474, 332.46755664268659, 332.89237158536304, 338.02520668257358, 338.23471208418533, 338.59953728468145, 340.79233942771197, 341.94873836368788, 342.21883950429066, 349.61515227265448, 352.24379013953904, 352.37895101032774, 352.47067173578807, 352.72466834163237, 356.62735886469545, 358.83816080847845, 358.966284899897, 359.82555823240648, 360.77550136531056, 361.96142807502042, 362.89137118184499, 363.04559203157601, 363.46575739261544, 363.56115299578971, 364.19084533851935, 364.40960570783022, 366.20721166718891, 366.39238929492859, 367.00796763098651, 367.57170416253695, 367.79217478788843, 367.99446441344634, 368.4437375452959, 368.65150981175901, 369.07215950685247, 370.36349841648877, 370.4364686237322, 370.63222214315198, 370.86782365582604, 371.81308307927981, 372.6253211183531, 373.57113429099661, 374.29276927511893, 375.62117915202612, 375.68765999442792, 376.98956846548356, 377.20281799465005, 377.28411353769684, 378.80724801415028, 382.32588844945508, 384.13161889617334, 385.32540944305333, 385.34656620271443, 387.62333040149434, 388.76073383837002, 389.30607201329713, 390.74453477917694, 392.04731960214582, 392.12593546761542, 392.83040794266907, 394.57518576340925, 394.63605670596445, 394.97131408639956, 395.92363008349702, 396.41492688730864, 397.55398578903259, 399.93364505309893, 400.01413462706836, 402.00994256145827, 402.20977904305255, 405.1696840726496, 405.80668575779868, 406.48593222621025, 407.0017859296712, 408.28868235582928, 409.45194610775667, 409.54973285042882, 409.59673722955279, 410.15324341670771, 410.3179156534992, 411.74801737765205, 411.8306679997018, 411.96454202663062, 413.20589440814592, 413.66644425297613, 414.44649254818626, 415.17713342232224, 417.42393152330226, 417.5288508815961, 418.1656164134136, 418.75793797611578, 418.92219661689001, 419.85323413218731, 420.29812358271971, 420.45697576853962, 420.58049966582735, 422.90729469045107, 423.30073798212936, 423.6021506922209, 425.08054909625639, 425.145609142002, 426.12686556407743, 426.66490436262035, 426.73031392187443, 427.36631051075398, 427.52284631081432, 428.07874873562605, 428.11233798346109, 429.22633344153121, 429.45959247577616, 429.55077646771264, 429.70184541925892, 431.54910993427666, 432.63009566186389, 432.9661568407497, 433.97230919726024, 434.46675076852171, 434.78019963204019, 435.12067919989244, 435.87130628554468, 436.59959250982178, 437.01816306991998, 437.60434926841225, 437.6654813557808, 439.13687631547293, 439.23162473946331, 439.8931923977068, 440.02453852853932, 440.97065345424761, 442.60507741725502, 442.91809889091155, 444.9457757629819, 445.7289865899844, 449.42873990507621, 449.47716933189889, 449.79528614880792, 449.86397371269419, 454.58618698762132, 456.68603326601163, 456.71765976253971, 457.90021528569093, 458.76228020186977, 459.93035611086185, 460.02306065774258, 460.38817629109536, 460.69640818994776, 461.98772106772947, 467.54488581816139, 467.87121262029177, 471.24241159804319, 471.34239540081518, 473.95353108901395, 474.21991578579394, 475.77790147764881, 476.4445016718995, 477.2886282364538, 478.97397152729332, 482.98285290572943, 483.01725108807307, 484.44120033460723, 486.85705577498635, 489.07193126793698, 489.19781253638354, 489.2900481749686, 490.31059324003326, 491.85682181695245, 492.12218151759959, 492.824584169692, 493.91828332676039, 495.38305840386039, 496.01913696118055, 496.64608600003112, 498.48155886707895, 498.61284417732077, 499.29299618207222, 500.9258950897883, 501.18829803941912, 503.12849493519229, 503.42309801821301, 503.48468874985156, 503.76263022052927, 503.94963737489053, 505.68406170982081, 507.51464341316296, 508.03144814307132, 511.96784783795368, 513.84442601376293, 514.30943805979143, 515.12135549579409, 515.51774893241247, 516.90215317501088, 517.13850962460549, 517.45642420780848, 517.52509228519511, 517.7637534965146, 519.77264411164379, 522.68274294300136, 522.84834637758024, 523.14194146596083, 523.37703130597959, 526.22701368284254, 526.54053947844716, 526.73642982539127, 526.7691246030505, 528.29011098202511, 528.3163356037503, 528.58547738125628, 531.9123393198463, 532.99792472615013, 533.47181965131631, 533.77867606367181, 534.21484245060674, 534.36589173958066, 534.48657056571756, 535.72108531045205, 539.91449974433681, 540.25278980104815, 543.23465608089703, 543.68552128409829, 544.91393860980531, 546.07252399994411, 546.14613577000944, 548.009303950961, 549.45632423003099, 550.42823499903295, 552.0649778695215, 552.14521909661687, 553.22158927384271, 553.3585380880229, 553.66779038019877, 553.81908081202312, 554.99900886376531, 556.30559541717753, 557.42344718917752, 563.04169978208711, 564.33209403561352, 566.14883439517564, 566.95167495094404, 567.70575821637544, 568.43620770168673, 568.8257609664189, 569.59181945781415, 569.69631907471364, 569.73008287085474, 570.47974163270112, 570.66752506818364, 571.03665315661362, 572.23961193594312, 572.30334653736088, 572.60020494896469, 572.72653891786558, 576.69539790205692, 578.94268527553811, 579.26982288428121, 581.72920982201902, 583.75130527435977, 584.68882372051735, 584.87996973437646, 584.95015345734851, 585.73243870431907, 585.86077886049191, 587.53434377427573, 588.03902099234108, 588.48473070996738, 588.64189884866778, 590.61857807330773, 592.19898794746427, 598.06945743880374, 598.19984550180652, 599.83182106651907, 602.04217339664604, 602.23934304065597, 603.09917487383586, 604.02800046594916, 606.29680111559958, 607.58269192276907, 607.76838210400354, 607.90487291013335, 608.03408471643809, 608.80693375592364, 609.21190932761704, 611.1294047895932, 611.50659205577017, 612.61105072878058, 612.89029088474729, 613.25739263377818, 613.56302476874225, 616.73001224362747, 617.16100254649155, 617.53058513936287, 617.80521611445602, 618.23675281613896, 618.5987100681333, 619.14540756816223, 620.16496097182983, 620.22692404750512, 621.1686327147529, 623.0909534967335, 625.09217875444733, 625.24047814877804, 627.45172472461161, 628.02400994915752, 628.38212084463692, 633.68786209985581, 635.70071514687368, 635.85009628414286, 636.1128825968118, 637.78887920730517, 638.84909676886946, 638.95642710607206, 640.36150619831949, 643.03246495919655, 643.74221226429324, 643.76891321779885, 644.79905116605846, 644.98496736905429, 645.18517547889803, 645.35922912208923, 645.59456573271416, 646.80993467715598, 647.43504054428456, 647.61814805248594, 648.82566025925075, 650.67170400066504, 651.3355686350784, 652.26004356256294, 652.54160570710212, 652.57837812561991, 652.95174615146141, 653.54166237104073, 656.33732311984238, 656.93753955403588, 659.85235562864591, 660.02725472771954, 660.19497067084671, 660.61861166851418, 662.0291057458752, 662.55938140276839, 663.34838696783618, 663.83866621482116, 664.0545468780266, 664.65061538989585, 664.67557821855928, 664.71917744328243, 664.77752993530009, 665.25953784508283, 665.94780633794005, 666.61152393200155, 667.97991384049851, 668.50676161804563, 669.63403380587124, 669.85138953436012, 670.117138392627, 670.43340442070723, 670.49585333093808, 670.91372935072593, 671.73074481457297, 672.52285353937407, 673.81929203755192, 675.24749760940085, 675.90694086456483, 676.13558607740026, 676.21300831701933, 678.05787132541593, 678.19200478478649, 679.02656505219636, 679.32130898029504, 680.71570865513047, 680.93729025766515, 681.91432938932178, 682.42892141980485, 682.69519928128796, 684.30167595851128, 686.41660906463142, 686.63286149352996, 687.07363093889558, 688.63840595897489, 689.10866972977624, 689.62135770495888, 689.84204694829828, 690.8544245281031, 690.92450210971845, 691.56534552738208, 692.32494493567231, 692.53414418092154, 692.79819276322121, 692.82792696846298, 695.66783182784081, 697.53837201680676, 698.66907752503732, 700.13374319554737, 700.66438700035735, 701.41371651302165, 703.63030245488062, 704.04473730116945, 704.45385929194742, 704.58870080181487, 705.07778013797349, 708.00614868724699, 708.21342549666247, 708.37717380833271, 712.69482321569592, 713.49247652433576, 713.76853212408696, 714.66607101273814, 714.71811105991094, 715.37915352063021, 715.48757674915726, 716.1771677677275, 716.40844473922732, 716.43767459896776, 717.74897622400727, 717.77386793268488, 719.55762992215602, 721.17072809389208, 723.72851866201677, 724.14945675799879, 724.21600580255813, 725.09187923840545, 725.16033119827534, 726.07543497951963, 727.34353852030654, 727.9721060845078, 729.15000334854221, 729.92533988218361, 732.65425333244923, 735.32308786487624, 735.57322434917728, 736.47663616993941, 737.05452773120703, 737.27616661043226, 737.35008012078492, 740.12495248865275, 740.3531259340599, 740.39575757894011, 740.45608707161898, 740.95088814400526, 742.39805113784894, 743.66091384068216, 744.01015449098702, 744.1416968244356, 745.05089270762903, 745.59467675347389, 746.01108951362937, 746.45432238949968, 746.64325211439086, 746.68293525431818, 747.65284030146199, 748.38432095954147, 748.49206755194473, 751.20244498242448, 751.46508877767178, 751.74880249288776, 753.58007341116752, 753.62603963373999, 753.92424078125327, 754.07501437846577, 755.62712717067757, 756.26345582936779, 756.90197842108591, 757.26035846500406, 758.29382989500823, 759.25550002620685, 759.78883980746332, 760.96146281779318, 764.40773186416607, 767.13308920116674, 767.38648582550161, 767.62978732036981, 770.81910209218438, 770.93018351867261, 772.82120852584887, 773.12220861848334, 775.75761437298547, 776.782336198346, 777.32517545529583, 779.88896650980462, 780.19542690684193, 786.42519847958295, 786.7414489977823, 786.99997132368219, 787.77146436762996, 789.86581651112328, 789.96977646859318, 790.18871840297686, 790.65153247765886, 791.26769150227358, 791.30255502434125, 791.51456032975511, 793.259968832558, 793.96585895688588, 794.7760804751498, 795.45072798604883, 797.18728056403927, 797.25642536980581, 797.41917456960277, 798.10620226691572, 798.23159880818935, 799.60992922071569, 799.68411444941125, 799.83887824019291, 800.89199251147215, 801.29533140242688, 801.44732373619945, 802.31930486140993, 802.82735884554097, 803.42331609248617, 803.79717986332435, 804.88571364137727, 805.08953546127816, 805.35547594235311, 805.58839872946851, 806.06333060536122, 808.35868297749573, 808.73777218372072, 809.14021596589032, 810.29812085662513, 811.57303743400507, 812.07401697112471, 812.76211563204083, 813.65137029724724, 814.12163811373944, 815.11901497360782, 815.97459492063399, 819.27016215745664, 819.68310438189656, 820.8099245253984, 821.01558273532862, 821.47219878432463, 821.54883586302174, 822.3721307352647, 827.11082214584451, 829.81479594676978, 831.42096490821416, 833.96479251045855, 834.01202527965484, 834.59349645126804, 836.97729503571225, 840.73718054757751, 842.45253826047406, 842.74384029014118, 843.45501840793986, 843.81745505077345, 845.63105759781877, 846.02482685316613, 846.23155829358006, 846.86817487797396, 846.9353697969533, 848.31581253484262, 849.44653572961647, 852.22786994573335, 853.68684358256678, 854.28845147007246, 855.12044150723727, 856.29974862986592, 856.48443011094275, 858.55282960166687, 859.17326265409201, 862.61710818858819, 862.9947172841388, 863.71506349957235, 864.01510399915014, 866.60371332432885, 867.59588038827542, 868.00397259446004, 869.65960887316578, 869.96423735512997, 870.56497273165621, 870.83504066842625, 871.91008529748103, 871.96334214959961, 872.61824297759051, 872.94811803062726, 873.97708663434901, 874.08726452068902, 876.16866214608501, 878.52170089925085, 880.12489054109744, 880.44740625266638, 880.55887693712054, 881.11256243840808, 881.42862675439926, 881.62281625506853, 883.07820182590956, 883.25230856088865, 885.69216147103748, 885.79367596737336, 886.16401751927174, 886.70553998331559, 886.96746200763539, 887.15217866418095, 888.44904439269794, 888.88811672145539, 889.10472492054032, 889.66480445645607, 890.74445771172816, 891.29963681091897, 892.91083592308746, 893.65356958284667, 893.73598615136541, 894.63758563365047, 894.91137430579749, 895.41836844232876, 895.9607373777269, 897.75327735432654, 898.1290295496857, 898.58309260155249, 900.7456021542456, 907.40600199818812, 907.5786944510802, 907.82407437153358, 910.35951768700022, 912.76195943535254, 913.29488303075846, 914.78809640238751, 915.15987991297482, 915.7319858804774, 915.81853833887737, 918.19856820207258, 919.25097276580561, 919.62251984421005, 921.22370109600206, 922.67180474326335, 922.91605179274029, 922.98079526778815, 924.92013183815061, 929.95327322757771, 930.49306271741239, 931.86949597274554, 932.98645115099305, 933.89112412559871, 934.9236094524955, 934.95260463015143, 935.82478374830282, 936.59021383465006, 937.63927707546748, 940.73918378002588, 942.56339855617784, 943.77797332151658, 944.30198271159713, 945.66254997581552, 945.99847262468518, 951.21729732542269, 951.81052527934071, 952.00626350057212, 952.42982478563079, 953.18711030287795, 953.31555029627998, 954.17380136107442, 954.20999787627227, 954.29056926595206, 955.53039502744264, 956.04200580161194, 956.87996072893645, 957.55516398061366, 958.03308300367712, 958.9935947392388, 960.08415150870428, 960.7413652232234, 962.10710955318348, 962.19948259453247, 962.4781591360487, 962.71344400579017, 964.20553809266084, 964.86026819099652, 966.71493262935689, 966.95662797147497, 967.31774478125942, 967.94615288985722, 968.49522536946949, 968.88279910057679, 970.17552819677587, 972.59828548667008, 974.49840782511444, 975.17708679699433, 976.62622724842515, 978.69078030710853, 979.34011303275247, 979.46770158247659, 980.34258159449439, 980.7564839637032, 980.84297099123182, 981.51750359334699, 981.56253205959547, 981.61105965627769, 982.45517818871053, 984.57876368025279, 985.05894357367993, 985.5309691885542, 986.95060583750956, 991.08630261041549, 991.22278563552402, 992.36246996167972, 992.71192177210628, 994.34284517849881, 994.37480173076563, 995.50145078617447, 995.6603229012851, 996.5970955965787, 996.84391649658676, 999.36013261269204, 1002.2754804177353]),array([22.988348612965094, 23.027366881596343, 23.478102115059631, 25.484004711009444, 28.120065267406435, 29.29363236015341, 31.603686644901366, 31.875000522272032, 32.686400341649907, 33.606691600372486, 33.819371309051185, 35.394758059062355, 38.416845090111913, 38.705184422935147, 38.970137345205416, 39.24272220764653, 40.620736375600046, 41.729343536316087, 43.21284246609531, 44.455855077505113, 46.042120318985056, 46.076657813336574, 49.084951558054762, 50.855593606946783, 50.946214879856271, 51.227668510066174, 52.738775636902311, 53.197295582433092, 53.488527885938538, 53.566275257246559, 53.63920954436432, 53.901578717484888, 54.479295105374568, 54.979615081202724, 55.834156124095045, 56.305182356173319, 56.724781181616656, 56.842778523685759, 57.266911195187099, 57.965941905896202, 58.867829668157029, 59.387781219870163, 59.926937909741049, 62.488333486000478, 62.645765277996873, 62.867517106826845, 63.194858313024938, 64.106487290088722, 65.204857534114694, 65.660582662968267, 67.5596543815834, 69.86219083444044, 71.032890912542356, 72.302488666900899, 72.598369780574799, 72.785951951819101, 75.26103798405542, 75.580336105148731, 75.602646685106691, 75.625378799220798, 75.934160068998239, 75.990171715693677, 76.835600678295847, 78.450877924738194, 78.763196654280591, 79.208168531499098, 81.878103934160421, 82.527231020506605, 84.299431275720792, 84.675150883384504, 85.879732119245261, 86.950109883912901, 87.287465203599638, 88.908799156881216, 89.392216103196276, 92.406995935260568, 93.450131212370948, 94.011782179864397, 94.902802660172725, 96.827809575244544, 99.21879455467365, 99.422361418254127, 99.509691531491328, 100.22349332443082, 100.8989671586735, 101.23685880536857, 102.3492868640525, 103.07574758112456, 103.37121338274665, 106.40452909835219, 107.06797440933121, 107.805674175495, 107.94828760030084, 108.25098466063361, 108.8833690087768, 109.79505604644552, 109.91933268659214, 110.63353739090181, 111.36328437825368, 112.57304753252301, 113.30132685342414, 114.26732725898587, 114.45293689505702, 116.92328526512003, 117.18993241994391, 117.28005437513816, 118.06607792211199, 118.66907505790225, 121.62265254671971, 122.26220003115125, 122.72173807350619, 122.92321590940118, 124.15497140167579, 125.25716204028714, 125.71397252069335, 126.31034026019742, 128.32344754958504, 128.89197623933714, 129.46512549419856, 129.91483665579131, 132.2286244174295, 134.40648335587261, 136.40327914555189, 139.18716048083323, 139.95777015415734, 140.60335726086453, 140.99763031880755, 142.12549673538126, 142.44825972077189, 142.46874338281697, 142.51587693448133, 142.56915522234803, 142.69931722841332, 142.92287879458087, 143.23547972397378, 143.80127348237912, 144.17183030585994, 144.77176632815736, 145.06682838413514, 145.96295207514652, 147.13921870369123, 147.85699306505603, 148.08989722004841, 149.71903867646606, 151.32256471729207, 152.16399071369042, 152.95732724941277, 153.04006761175219, 153.28554074749385, 153.72544604726562, 155.75263918374165, 156.5819499905671, 156.71791147114735, 156.75777932208629, 159.36779534583334, 161.43310668859414, 162.54070414286107, 163.22563375505607, 163.73942637249885, 164.66690381847027, 166.59153217431631, 167.28327805132025, 170.37529469525188, 170.92173324106759, 172.85231069587806, 173.29981359479004, 174.15446357890883, 176.62772216888263, 178.01915409030772, 178.95780987403825, 179.19855168364523, 180.10807812627291, 181.23229668495492, 181.39443177839806, 181.68473293187958, 182.28000737671368, 182.96025706912513, 185.98351781455565, 186.10643249285829, 186.72507877070294, 186.83061628887202, 188.34608415940733, 189.007863275143, 190.2684116068948, 190.68034946016746, 191.137902219029, 191.64939531729763, 193.39294119306243, 195.03894659100928, 195.55541552644152, 195.62399543021854, 198.18772830935129, 199.9740320171905, 200.74308828451953, 201.36586014066626, 202.96482581327319, 204.01071610410872, 205.68787518846881, 207.59277731047194, 207.90984250582341, 207.99740123851944, 208.3696545300827, 208.55082740916538, 209.07801773173446, 209.51341190599922, 211.0205416822993, 211.29270506741355, 214.11685738017715, 214.3324636458492, 217.00991795860969, 217.9868070994153, 219.68776353872263, 220.34667878822319, 223.02883571411579, 223.40805172897723, 223.44353213462585, 227.80600885318401, 228.60581638276531, 230.18091527344862, 230.2212582219303, 231.04973443817559, 232.39135573734021, 234.93488212219722, 235.51078546069027, 235.61864356180274, 236.12795673341253, 237.14597675532198, 237.64702823265986, 238.49203296483952, 238.7760174031379, 238.91742375519254, 239.79601323588818, 240.93814027671496, 241.77723829837376, 242.76616386638301, 245.4035824476727, 245.4503202360716, 249.47291492928736, 250.29033643472641, 251.25362544405124, 251.55698654232808, 253.07174399365746, 253.26998695685637, 254.22796413055715, 255.15303155668491, 255.64004466650448, 256.6380682308112, 258.9582095644127, 259.29679098701359, 260.30743008866506, 260.38866665902748, 260.56867985102184, 262.4578369829656, 264.28340108757209, 266.16972084801642, 266.34175074396234, 269.31101055006513, 269.398657917766, 270.65039292588989, 272.40442482572388, 277.32417418105399, 278.29391095763071, 278.80285002277731, 280.43094947661183, 280.84496945029593, 281.16121624694449, 281.4713852807995, 282.65243224473471, 283.3593894182593, 285.19171265951843, 285.30364531768453, 285.5812031913041, 286.73041908190487, 288.00580654495479, 288.24170387922567, 288.41436302228169, 289.62876922492484, 289.77838459030187, 290.06543609435607, 290.26437711666006, 290.36042036221693, 290.55976630519831, 291.03167879649408, 292.44515620823256, 292.57031798279922, 293.31175260696074, 293.70460741700145, 294.42037333543067, 295.96952317715068, 298.63369102057783, 300.7962382415937, 302.51072631625033, 303.92947715216803, 304.2263883139189, 304.82573462443196, 305.20624021805048, 305.84392082959306, 305.93924247011023, 306.76606613395666, 307.36524548961921, 308.62135053950112, 308.91377560389799, 310.18688750364345, 310.35953551489723, 310.81771768971174, 311.89170979705949, 312.60924054465693, 312.65557575619073, 313.67968989975765, 313.921649321541, 314.05270256118899, 314.22608729187181, 317.22145073808855, 317.4052345993415, 319.53576816359549, 319.72309590078578, 320.03405007394701, 320.19299320941536, 320.98871052080932, 321.71582260421758, 323.58054256686034, 325.1957188491013, 325.56935529821317, 325.72550059704355, 326.85279690852565, 327.86222621411167, 328.13991594653271, 328.87780514587598, 328.93231785514138, 330.1117480919836, 330.173543661319, 330.36765752292899, 330.60120583201245, 331.14505249519078, 332.61999356316204, 333.64573744980578, 334.66736551628617, 335.33849603751202, 337.76294858401457, 338.62578885071349, 340.10962079417072, 341.07056999082283, 341.20234683450548, 342.17917439437463, 342.85407201009792, 344.30777839138352, 345.47455725447361, 345.61425017742215, 347.36127868021669, 348.01144151856835, 348.5863157002936, 348.6565233912811, 351.62447952526361, 351.68982716466985, 352.41107538036999, 355.24702271521414, 355.30469304802915, 356.64783325476833, 356.87910968082701, 357.46408209184256, 358.3443489406904, 358.73614544950158, 358.9213130923805, 361.16472565719471, 361.446794751737, 363.47811953081487, 363.74868003137664, 363.91624424021921, 363.96411850107143, 364.54554642830999, 367.99617778205447, 368.36955894768579, 369.95247906496087, 373.08715137559494, 374.2556369322823, 374.52157572541358, 375.73259923456504, 376.33205661292192, 377.86969263395883, 378.00618558506466, 378.60780291886363, 379.95487461616858, 380.96838066933003, 383.80228566103483, 385.32772548540902, 387.00302300967684, 388.64560422905913, 389.87495218052794, 390.94323083176084, 391.80904191236203, 392.58806049057011, 394.27787718010308, 396.74648546862039, 398.59529245722456, 398.91801095074516, 399.51944812888667, 400.49035316836017, 401.15287619789461, 401.79768988585369, 403.00771980040116, 404.65969957801059, 404.77354761514493, 405.65124378621465, 406.53309788514196, 406.60985426461735, 408.49038662294572, 410.09311963235467, 410.7746179805003, 410.99060370589461, 411.7625590514541, 412.17890374279881, 412.86224611560709, 413.85550634088014, 414.56810678960505, 415.04981251070734, 418.93399191518233, 419.41978271381225, 421.43845966873658, 421.46791306667632, 423.95784842393573, 424.78820570673236, 425.14756159426315, 427.95482584528082, 428.0914563647616, 428.52653749925224, 428.63276581601275, 428.98398935873291, 430.42012323082162, 430.67075001462882, 431.91637759449196, 432.00081225075621, 432.59531909445042, 433.27538100408123, 433.30555285984155, 434.02181275762825, 435.16279751178558, 435.94584207218219, 440.7260327436835, 441.16056228365824, 441.8074352183595, 443.28688750926585, 447.80548028719045, 448.58808508913256, 449.97069344313786, 450.60119398758837, 455.79843930193169, 456.11896265740108, 458.24048709111543, 458.34003822300798, 461.0052907475287, 462.46121222495145, 462.78936717475841, 462.81471368217569, 463.41868144547698, 464.21222834858139, 464.69298029296056, 465.251579875625, 465.63067143065973, 465.74924688020792, 466.04255642072786, 466.23682959128962, 467.41880565687035, 467.92070696417431, 470.17324239597099, 471.99342818513827, 472.3046189769928, 473.17542192489628, 473.6587641476541, 473.92244866259216, 474.17822965051835, 475.0688553978963, 475.90533457584928, 476.81318470026144, 477.71212417370293, 477.9721465320867, 478.86899471031126, 479.4372233472497, 481.58852369515563, 482.31766484178252, 482.86546916324789, 483.32662725118666, 483.80491780869153, 484.40251231044437, 485.60823473643399, 486.74253984635175, 487.10833945968966, 487.35049024238168, 491.70002395443311, 493.03838044868888, 493.36503656609165, 493.56698746558817, 495.1735578336166, 496.42598354325787, 496.94467011300787, 497.57183853706874, 498.54225749333136, 499.01499136362582, 499.10807718821832, 499.7174108119122, 500.8690664549938, 501.05024538355542, 501.3630476925365, 502.44415605770268, 502.54101062992362, 504.16439931205582, 504.31218208028935, 506.37046367050584, 506.51908391956925, 506.6086710625296, 507.85331016103237, 509.85084546974423, 510.1796439496008, 510.52612320896316, 513.04221588728706, 513.10198002338609, 513.4434456531186, 518.08565582490189, 521.08054272820243, 523.12203996079461, 523.79699440651541, 524.32655728337465, 524.52836132237212, 524.71473523792031, 524.81471799020187, 529.29122361754514, 529.88240432962368, 530.32871178296352, 530.96905223966746, 531.09296126153413, 531.27484921573478, 533.2328575663621, 533.28775254176503, 534.07492002952608, 535.17394340123394, 535.96590823612166, 535.9949126672476, 536.27867459681408, 536.75407315561802, 537.27878997895687, 539.01467656384511, 539.09893189162187, 540.46369549165013, 543.56528329613752, 545.33603825386047, 546.36900993582299, 546.68525492428876, 546.95707158634605, 547.60916505693899, 547.64844818837707, 548.49906204325816, 548.70698901480228, 548.97978420170523, 549.97812939786411, 551.53286522997928, 551.94352693424912, 554.89272922973248, 562.28050008545324, 562.7160491922649, 563.26395667513327, 564.7564860324444, 564.99169770567698, 566.42547440764304, 567.5514731097694, 568.31107751587126, 569.3451209523663, 572.73338024331645, 573.55495682844935, 575.49290486490202, 576.59643194201533, 576.79603218908505, 576.9339531422188, 577.50745647410827, 578.35566295111289, 580.08050198717285, 581.27394859971355, 583.29897727176944, 584.9952179756549, 586.88289059728368, 591.12789952252172, 591.32163300939851, 592.84627463343475, 594.92692746560124, 595.19353170119655, 595.22533234967023, 596.30388740562626, 596.61716635648656, 597.24134893594862, 597.35755127265747, 597.5078941422521, 598.16368457420549, 599.11628457466236, 599.52982464446279, 600.2766947624674, 601.76762808689432, 601.93970407656332, 601.96946397879356, 602.57603974358062, 603.88939160368727, 605.37541597735026, 605.54358711495979, 607.48998920673273, 608.38229911718952, 608.42338348433611, 609.14390850544646, 609.22283144640289, 609.31398141119769, 610.18560718449089, 610.56463139171137, 611.21229938931936, 611.6118064343583, 611.63362626248386, 611.79948597655618, 613.5954951067738, 614.13825108998617, 614.63227866720695, 615.13199862201714, 615.79917871515102, 616.10253528120461, 617.29287696794336, 619.0578709965888, 620.84904578470639, 621.37307754888184, 623.63820837359424, 626.07743450484406, 626.38920234126363, 628.54014549302269, 629.07113385417517, 629.48590283979456, 630.42970009394583, 630.75827010010437, 631.41703233542648, 632.04170196699579, 632.89796055957243, 633.24423150959683, 634.09546167381529, 635.34157934005384, 635.74907453474316, 636.03585816101918, 636.40752269487837, 636.54259824891437, 637.40353639031059, 637.5716179634619, 639.84888682577753, 640.83769205837257, 641.85581641468821, 643.50317344402367, 643.8645344354187, 644.07367402835587, 645.51792289133641, 645.6936874220653, 646.55719166650726, 646.69654141844558, 646.90662602979774, 647.07715693481259, 650.02214384373804, 650.40561122353563, 651.57680167280159, 652.00052549665975, 653.90971773852164, 655.24804726803075, 656.65553743930639, 657.23336823347211, 658.416208245446, 658.70401599715649, 659.07541672199568, 659.57668333694539, 659.61671399545014, 661.82634539701462, 662.43861728866125, 662.73464349869914, 662.87318928479431, 663.10942500056046, 663.19780977696826, 665.51821457558333, 666.32245843123542, 668.86672065177424, 670.17698097658842, 670.32822412139251, 671.52719219407265, 672.24094845083278, 672.35149071222475, 672.52989534117728, 672.75677887861332, 672.9860375001515, 673.02676643632128, 673.67995965078944, 674.16052935696985, 674.51452456801678, 675.07179678135151, 675.10555667357983, 675.7772580373861, 677.53485445512388, 679.12052108082241, 679.25904607465748, 679.88318374381311, 680.39908773032835, 682.69656918501369, 684.59051996967798, 684.94310748361374, 685.51945997198266, 686.01247171970897, 686.27330953824583, 687.743733268911, 687.85424248039828, 689.08125592975136, 690.97858521818716, 691.08793378226926, 692.15746281241695, 692.32299509538734, 697.159842084307, 697.6117705926672, 701.1838458173188, 701.35419610159602, 702.18944766934453, 702.60313025910443, 704.28750021028907, 704.4045675554255, 704.45458533154533, 705.07968180644696, 707.21199291229004, 710.2070522299033, 710.23425598233746, 711.14391372778312, 712.11540759600427, 712.6351298249989, 714.4824626384509, 715.98017387105108, 718.368883291629, 721.80917587212366, 724.40952340041144, 725.22431217786016, 726.98880126483743, 728.24908006820829, 729.44225970337186, 729.62695084631957, 729.82379426083207, 731.22265681147064, 733.78484013663331, 734.08125219294425, 735.02562969296923, 736.48198952529469, 736.62032007786695, 737.11945067266265, 738.07963128040467, 738.21535589450002, 742.88085420479513, 743.42047093700103, 743.95612435342548, 744.23262940292614, 747.72690833966158, 748.74264213535639, 750.20355181710966, 751.9747084118851, 752.14189846253589, 752.59332423594969, 752.63274976399509, 754.77709156786432, 757.52375541560536, 758.90150299652601, 759.67520065426129, 760.03099168341953, 760.0992550535783, 761.94145594125223, 762.64351599288796, 762.97644201169146, 764.27871602971084, 766.88684036299787, 769.52726058707776, 772.57202039308095, 773.04464284164578, 773.10570139095751, 773.28171518186673, 773.76352583506628, 774.28092549339942, 774.34068810510371, 774.69269673660096, 775.45258433510787, 776.14588587482092, 777.23709422040213, 779.43742393156697, 779.53297569240522, 780.53290133364635, 780.83853908908202, 782.65850457061174, 783.04206017171771, 783.21007964399598, 786.00011728436959, 786.70324745456139, 787.68777619298578, 790.99305512363514, 791.27456899256867, 791.40564546709527, 793.09377323517981, 793.95273533540183, 794.30564680117993, 795.45588890566057, 797.61707649193431, 798.61798877452827, 799.38010152747438, 799.93638143495332, 801.06155530606509, 801.22350811717411, 801.35514326036787, 801.57078300480794, 801.8406358901866, 802.00063898486269, 802.89406644333121, 805.70295066525819, 806.64487551522939, 807.71284200849141, 807.97446910235431, 808.94260323082506, 812.06780650142059, 812.80792950939042, 813.79604530287725, 815.1756857760073, 815.80644156125948, 821.78736851880672, 824.28769036705648, 826.30037364072575, 826.85048509890999, 829.87801229194531, 830.23009464638494, 831.31110268629095, 832.02728837633265, 832.42123613924116, 832.50646447021313, 833.76101877296799, 834.09382807444035, 834.2787218234497, 835.69156413533233, 836.01964615395343, 836.84288842863066, 837.20752995042994, 837.83128938648269, 837.86715477289692, 838.20659117337357, 839.51852507914953, 840.15641802818971, 840.8208587182985, 840.9091657547059, 843.43060522150176, 843.53565083002002, 844.45160185367763, 844.55121704173314, 847.25510979275577, 850.15585209010351, 851.33484821891113, 852.44654001587446, 852.89577448252021, 853.26681722416015, 854.46334378395989, 854.90782069768841, 855.60647452529986, 856.60537695775292, 856.68923271295819, 856.8816572074237, 857.07893337768189, 858.81385885328496, 859.29362714550518, 860.98872186916788, 861.66560715902654, 862.81004537550507, 863.37944434030203, 863.40632110988111, 863.47082030647039, 864.31043321812081, 865.39455029688509, 866.44409794215017, 867.44053441049027, 868.38848988964344, 869.4404922475884, 870.00156221596262, 873.25782752316991, 875.25003127492118, 876.59577273398554, 878.08058856350658, 878.43422814299561, 879.39759084827551, 879.95284845894503, 880.55317109678833, 881.87520097439881, 882.66977142588291, 882.86134516302855, 883.54087245275082, 883.7157931219416, 883.89694002199917, 883.96854210324182, 884.42512350937193, 884.65697699679265, 885.56818288690658, 887.36181991222304, 888.39385511018065, 888.56219511652876, 890.07653665889359, 890.16454025781172, 891.21732694387401, 894.1192893089318, 894.21148492359509, 894.5060286609629, 899.59003742240452, 900.95009859520837, 901.70906053392025, 904.68777743855776, 905.03959883638299, 905.16058617277088, 905.34170979098064, 906.15270942029929, 906.19966940436484, 907.32766366849989, 908.75531364471635, 912.82876771812892, 915.48547078469289, 916.54988516640674, 920.48761701794342, 921.02792729951102, 921.24368183505158, 921.77572261797889, 922.95752969099544, 923.66644523553941, 924.2678087817709, 924.46091686582918, 925.41616568438667, 925.77420838375394, 926.54050181296395, 926.56097617647561, 927.55548357497617, 928.21488062744925, 928.6800172770196, 933.60135866486667, 935.02419432729801, 935.99085485858393, 936.73492855656275, 936.80232411463385, 939.08775094906161, 940.16619135494943, 942.91470059404446, 943.79136732961433, 945.5015883690869, 945.75163376066553, 946.44484651067739, 946.65789136968033, 947.49896833211972, 952.46390592594082, 952.73102512878449, 953.98886815372282, 954.41305839556412, 954.56317594917527, 957.20705348773879, 958.58645971178328, 958.74328747411209, 958.91785685710101, 959.16925287616471, 960.92293275420673, 962.72456186734712, 963.19034013556052, 963.45776533360117, 963.75388165834806, 966.5592990791456, 967.46022416509697, 968.06344499180386, 968.37210225645413, 968.4027787137004, 974.0057477869276, 975.92448954214365, 976.41870293308227, 977.50227896094657, 977.89024258513859, 977.91944163212224, 979.74311821143851, 981.40026135158007, 981.68019837496263, 982.95098166801904, 983.74484605046689, 984.61464286291357, 985.01355221564006, 987.86684986515058, 988.40485542073225, 988.80585501531345, 989.42627516220034, 990.26293570415635, 990.48301107857901, 990.70029214073543, 991.01640066575476, 992.22204924940013, 993.19076710665206, 993.84006922512197, 994.30551201590708, 995.02303239530943, 995.54232153069631, 996.08062899842719, 997.2386683218441, 997.42475560345088, 997.69702804028225, 1000.766443499411]),array([7.6928742448581726, 7.7979406925785719, 7.8913476592116005, 9.559314063097256, 9.9709257833891449, 10.177424291062968, 10.946983796007379, 11.337592070757477, 11.918067776964854, 12.048577408334568, 15.456641369657433, 15.64679385576026, 16.552927173279599, 16.742124577205779, 17.594798536899919, 18.365746606913707, 19.263713703630927, 23.699396840903418, 23.964152059469072, 24.222902109118522, 24.39475057732259, 24.698733540135006, 25.37481993716877, 25.844948244884268, 26.914108124515742, 27.603032191385257, 29.553175138845429, 30.446242087841615, 32.005869700674893, 34.880329091294222, 35.365098666747343, 36.206172849872416, 39.719788597633887, 39.957584784105954, 41.803892782847655, 43.613970883032238, 43.990773214069996, 45.069130730056287, 45.348892610152284, 47.710670508105551, 47.851027440596077, 48.496997255768306, 50.121709646618591, 50.343003427365424, 50.426586031227686, 51.823904751018787, 52.360386505925526, 52.747029982599805, 53.330912724471617, 53.903386438761409, 54.533792908655037, 56.484925055493392, 58.352533670298314, 60.747432624689509, 60.976680733430669, 61.122971089441855, 61.256731756096272, 61.375253219697029, 62.968268213073749, 63.046037243931131, 63.675943024183638, 63.915649197236782, 64.285289683564287, 65.033123163909352, 66.694401040990797, 68.17684570292019, 69.66188955671312, 69.800521579411466, 70.614000526614092, 72.945439076986077, 73.674272254335662, 73.798185301949076, 74.206991781725065, 74.985012459325361, 75.02618489755568, 79.362249788258467, 82.254730245386114, 82.281054553680363, 82.443810178520025, 82.545436647319391, 83.342948718518883, 84.082949712394921, 84.49085308603928, 85.963948086435053, 86.00379419987614, 86.497978865999002, 87.996135817851069, 89.750129844771109, 89.819924357506864, 91.121509115287651, 91.348155481321669, 91.410337189596376, 91.996527715931123, 92.46895678755395, 94.626428904142443, 95.711629473420075, 95.734374341606411, 96.305660533556789, 96.579368650389867, 98.331807479390932, 100.46702762314766, 100.85563824688845, 101.04810279968817, 103.71979287960174, 105.47119588326308, 105.49560164370557, 111.84940317887406, 112.93709549644309, 116.27327589479368, 116.50548282160281, 117.0386183777768, 117.67896065047135, 118.0770129091807, 118.16183186494871, 119.59790023805506, 120.43892165788314, 120.76847071317256, 121.09978080685525, 121.22550520441742, 121.48862160061377, 122.56086204418459, 122.84039674271575, 123.24118347724844, 123.53334273543852, 124.83090579353994, 126.40408468139834, 126.76695141487424, 127.77251694719804, 128.75400368565187, 131.13734675302479, 133.46473856019094, 134.18953967461721, 134.44480332381778, 134.74069212757917, 135.4036923136569, 135.77578148629399, 137.32050233811896, 137.72373192479688, 137.83743139251013, 138.13279296977132, 138.26646799851443, 139.49827642001256, 140.27788852217856, 141.19876569982154, 144.62651518345706, 145.91852184951634, 145.9903351740729, 146.13067592753558, 146.31330992965823, 147.53168655751674, 148.54476987612097, 149.4376312198977, 149.66834235333783, 150.04368595763816, 151.55745694325142, 151.64356000390498, 151.78853747318959, 152.53514980126411, 154.01765753813601, 154.75199473780475, 156.10925141199408, 156.65099520726164, 157.07146290745158, 157.65143393787321, 159.86582589059671, 160.16468859646335, 163.08068571810458, 163.71409374587586, 164.35620690360952, 165.00322297334702, 165.06226588665123, 165.0904168908541, 165.2698585840885, 166.97781224635071, 169.7465681460933, 172.28850117628681, 173.5884141030011, 175.67337727390762, 176.38369542104707, 176.46732293115616, 176.65695904600369, 177.02526658196052, 177.72410059926204, 178.26555551983998, 178.86771984510378, 179.21883231194914, 179.48583664412715, 179.77555345600931, 182.78235649657827, 183.33714420725718, 185.37371191295836, 188.16319324299164, 188.20703689204606, 190.06598512062467, 190.22297902407138, 192.81649635256198, 193.35574097337411, 193.49083018039755, 195.39125805452926, 198.93965294011934, 201.6777601526764, 202.67957725216351, 202.76800392940257, 203.12759432596229, 203.72828505367488, 204.04572409706424, 204.58456754707291, 206.26917811858445, 206.53074775173209, 206.83580461461929, 207.07920141823334, 208.53928128923116, 210.20151907467618, 211.03851829817967, 212.59471511833863, 214.33975522867908, 215.02440439222656, 215.28373382482761, 215.74301760195641, 218.00685824470864, 218.70445124741212, 219.04723729335595, 221.69538801446473, 221.91492797836503, 223.73359789295841, 226.35185335491872, 227.39221973479653, 228.59995775992473, 228.68424249105462, 229.04066944703064, 229.5620539123513, 230.37859421817859, 230.98745361864957, 232.25720865528879, 232.72377653296553, 232.82919723752661, 232.89264668002528, 235.27660704332359, 235.73755674917703, 239.52192961434895, 242.34873094238523, 242.81904214098392, 244.24539597659896, 245.42614753314851, 245.54577979522054, 247.04171341829755, 247.30265802177448, 247.96995170847208, 248.59064803260034, 249.14407087908961, 250.60516780935754, 251.77152254399954, 252.32741920001129, 252.76047397691161, 253.47237914603375, 256.4359970814769, 256.92269793278251, 257.09532748721716, 260.56342280682532, 262.72062560289106, 263.02295792128797, 263.41775322382017, 263.77840829650398, 264.75069941594052, 265.74961088712854, 265.78433913271476, 267.9087353966122, 271.73536232596342, 272.50126080179592, 273.8763224589199, 274.79340298267226, 277.2129512518685, 277.36028319479004, 277.75041811153829, 278.28524687403416, 279.3210596693101, 280.02672885048099, 280.05933718836832, 281.19034558223478, 286.16298069241401, 288.57957901998157, 289.48902096085635, 289.82980938266121, 292.46941808524411, 295.14171773827206, 295.70424486250243, 296.91754285131037, 297.39997158866584, 298.00391507079178, 303.65802855143835, 303.7738972276029, 305.06302255006409, 306.10706310965043, 306.16986299161232, 308.75125620642598, 308.82054949695572, 310.78275996227279, 311.06268670126582, 313.39248206580407, 313.4772005135199, 315.39282257827927, 315.98624508069832, 319.22046239538014, 319.39499908460391, 320.86468350471006, 322.04924117393119, 323.11579536563909, 324.37298020714394, 325.70390772286942, 329.33305389578555, 329.92870591800965, 330.51245310748715, 331.91738491805813, 333.09391749318706, 334.0341488039939, 335.74913458287955, 337.23113292553654, 337.41752542190994, 337.81967340278271, 337.87917996927615, 338.11522323081408, 338.25824617272963, 338.68808078683759, 339.65637396330703, 339.83360433268786, 340.38837803808491, 340.81479128657668, 341.15446702259192, 342.552505486543, 343.68815206762827, 344.48323026350482, 345.27285505997366, 345.60742349022843, 345.67065629804296, 346.67111966635878, 346.91019248181561, 347.01726354901501, 347.86055970961968, 348.00948307208131, 348.12023286265025, 348.75176714088497, 348.78100057828811, 348.99069496800621, 352.0581515146464, 353.7801861172012, 353.80711849789122, 354.40187994146271, 355.64063140483904, 356.17470079133182, 356.20554947646718, 356.24198565683849, 358.21305452506061, 360.78088205190716, 360.84736397123243, 363.55491542342611, 365.74456939426085, 369.44615090326647, 370.2796606032008, 370.41600755309787, 370.84737846868376, 372.59007102635496, 373.68433551363614, 375.57241570800983, 377.36561716003399, 377.43697908734788, 377.67912292313537, 378.43708904074947, 379.57802753796744, 379.75711706353127, 381.13046484390679, 381.28958861254847, 381.47196731063019, 381.93622519624643, 382.03349245338012, 382.56199092362209, 382.85110000461759, 383.36544632866759, 383.83974188166849, 384.46973341268523, 385.85858341404725, 385.93561706701809, 386.10072714367044, 386.62487376987343, 386.78765752109325, 390.38861001722984, 390.48645332923968, 390.74301836702313, 391.35358577186997, 391.80953743013129, 392.02764945620038, 392.28213236092165, 394.22046263896704, 394.48112934510146, 394.64489162828471, 395.23943883865894, 395.45121977043516, 395.64732721570272, 397.19458668297341, 397.60553120915523, 401.14953046774173, 401.43656852828161, 401.86191696925226, 403.10097650450501, 405.60981923190047, 405.70323653569648, 406.33281409741693, 406.57915878096389, 406.67479611296005, 408.16148661911399, 409.33477509169478, 409.39235725305952, 409.58106228365131, 410.89267186002189, 413.55850043002175, 414.23474456471951, 414.4033878452218, 416.71095207640144, 417.22559663693835, 418.1361176588818, 418.91025325669898, 419.88257720357814, 419.9469889018547, 421.50785798829077, 422.42439284644564, 422.87173536968362, 423.13485572144839, 423.16709226195599, 428.89062544150676, 429.94835158407363, 430.14178103690421, 432.02893114340395, 433.43832655658576, 433.61156592765468, 435.95103133837381, 436.31630083536527, 436.69306264659917, 436.72606529968175, 437.33739342594555, 437.61084842875317, 437.73594504180676, 438.49632534393339, 440.4660290692504, 443.14932139185021, 444.02481775043645, 444.16085976306056, 446.26063019126065, 447.13395723118674, 447.25541433314061, 447.54687460254513, 447.98038762382691, 448.97682864880431, 449.11857323746051, 450.90124333855903, 452.05305530930025, 453.62880357910598, 453.74041110525525, 454.10880751587428, 454.26711796005316, 455.06710561968686, 455.15364870195452, 455.81455927054361, 456.07504187602177, 456.21526260283554, 458.83822339657632, 459.03582599680141, 461.46266246449369, 461.79849943691585, 462.37618824726871, 463.00856106416336, 464.08211085794261, 464.73695996206953, 464.79406276491619, 465.18323115566471, 467.61885921894998, 467.88479183304338, 469.25681637120482, 469.7777787586416, 471.84540987993103, 473.43700370039596, 475.71948340942026, 476.3282713156529, 477.16209228833196, 477.78106742729818, 480.750283497255, 482.23984652409098, 482.69554179520418, 482.89753345703338, 485.12436843286713, 486.29816378610542, 486.52482457228314, 486.98401715641825, 487.69460766526493, 488.23913610126408, 488.85254643189177, 488.95533926794451, 489.6739208987932, 491.02152499823507, 491.12013849181619, 491.67022449197884, 493.59095474570574, 494.08820098366976, 494.15229811652478, 496.02337531477451, 497.87121256166631, 498.6682208350835, 499.06676699988452, 500.08135698956926, 500.47508481490888, 500.55974513120526, 500.83506285754117, 501.00006100892773, 502.04578305545397, 502.6954372136554, 503.50824633082908, 503.92335270192245, 505.17163597221452, 505.94091822432841, 506.47391119924185, 507.2773000422938, 507.9941456316094, 508.46006479014187, 512.31781137068128, 513.77452779046109, 515.55183154566987, 515.68165479969628, 516.34037860436786, 516.55383501512279, 516.77612579654385, 519.0447447518867, 519.98795019740191, 520.53372108654401, 521.07772907908577, 521.22291237972604, 521.38011526979949, 521.71670158769894, 522.41781457550508, 525.79919544906534, 526.0942863602985, 526.56406790898052, 527.40572384867698, 528.79716632217151, 529.06895981639138, 529.78023951260059, 529.83352977551908, 529.92417125835391, 530.20219399865903, 533.26527434669765, 534.07702322846592, 534.9327513949446, 534.95766088053085, 535.75358103142878, 536.84903252690083, 536.90238944009263, 537.2822712166984, 537.87132601660517, 537.98386826867466, 538.37543447030794, 542.25242134544658, 543.37786320666589, 544.132305760706, 545.43636587833964, 545.84668647478486, 545.88528752579521, 546.05759564617586, 547.35383911774341, 547.50795241120136, 547.62603743833688, 550.45725930752121, 551.10025714469748, 551.27594091759613, 553.7807423750578, 555.07807164583869, 555.16537472281516, 555.29273813060752, 555.88164247169266, 556.01555470096389, 557.64429609675096, 558.27276381678644, 559.24180792214315, 560.3758404605893, 562.96843314243085, 563.10225027957404, 563.59766241352281, 564.60256885675585, 565.03219711821112, 565.37002110487197, 567.0445208320665, 567.85509888840545, 570.36132221056596, 574.31063091521662, 574.58226041805949, 576.05160302374452, 576.15819504491526, 578.37867753717364, 578.48597358339237, 579.41863641712916, 580.02822217425546, 580.33771915382954, 581.19888342012064, 582.0192100941706, 582.59991063322855, 583.41291481913913, 583.87339464882041, 590.62951290529213, 591.04017981173126, 591.17992536696386, 591.60336890249005, 591.80559096488196, 593.54697307193385, 594.32332810095511, 596.76870977190129, 598.65812095881984, 599.04893139747435, 599.27499991569005, 600.12500465632809, 602.11184333484391, 602.60297781864188, 603.112301991442, 605.45039507577542, 606.81853305683296, 607.2427038887497, 609.55604396411013, 610.71082478266612, 613.46697667056287, 614.16280914569722, 615.00746102166045, 615.3843204247612, 617.22235672368049, 617.41900100833675, 618.92722772934576, 619.61737600927358, 619.68631095579144, 620.47900326053116, 622.37911647584656, 622.71692682277217, 623.61286647336067, 623.7934412516405, 624.40863496463101, 624.59726677854849, 624.73767873540714, 625.55888541659817, 626.21081686246123, 627.16246949456274, 627.2423612929199, 631.05099998454853, 632.27859742799706, 633.14004637014045, 633.65692910291511, 636.52434425844854, 636.75427132408436, 638.57120744062206, 639.37604019420917, 641.78876793114023, 642.31137712190775, 643.02859633477419, 643.88285839040509, 645.58481227910909, 646.94826687179352, 647.0669553429608, 647.25098212407215, 648.34399296492188, 649.82793329133347, 649.85122797959468, 651.02498208515624, 651.45167128799426, 654.71192531328688, 654.85194065214034, 655.74352336012112, 657.16503672893748, 658.92826957904447, 659.56374392043585, 659.6471754135797, 660.30872243691203, 660.59722959248973, 661.30227076420204, 661.33989856344317, 661.99700423076092, 662.343987536437, 662.41100766628153, 662.48627247585546, 664.04582061415749, 668.97409670708419, 669.64783070048111, 670.18053328551423, 670.91683486492627, 673.62445822034158, 674.22651909749527, 675.37769414058118, 675.57299690272009, 676.56642105906246, 677.45971484038694, 678.8750283374402, 679.65343915992457, 680.082129561682, 680.80529236842926, 681.24204685213931, 683.20573885828867, 683.66983267056901, 684.21125946382074, 684.98308029783084, 685.31212440660181, 687.6115554480848, 689.66956292912494, 691.68634779198862, 692.97799506542663, 693.00711606419122, 695.95994688131918, 697.15760593789423, 697.28671472507438, 698.54415643797847, 699.70413547010571, 702.46948852808896, 702.94456485253363, 703.75953197035665, 703.86761159650746, 704.02204510585545, 704.72949784793252, 704.83538188722241, 705.83427365144553, 706.08599084754724, 706.4778449380118, 707.24900418234472, 709.1029015273898, 709.68575328511429, 710.11661265975943, 710.1484048422958, 711.39343699879203, 712.30554138772152, 713.93828612999994, 714.66409928358371, 716.81020794254334, 718.41734639565595, 720.56259574432238, 721.80686931902528, 722.30229462175464, 722.71609783330086, 724.32930089256388, 726.46597862152078, 727.58281097601696, 729.96736318479975, 730.84385128639394, 731.1805343550983, 737.75174855026603, 737.86119668133745, 740.53725680988805, 740.65271012935784, 743.66128397207763, 745.65303084850586, 745.87512471230696, 747.84283156161348, 750.30788450179534, 751.99490689441336, 752.04031798644542, 754.27107147148581, 754.75415139158008, 755.12115284175866, 756.84961636059586, 758.91888090448197, 759.03384109857279, 761.14876262432176, 761.59446862526704, 762.51041251814308, 762.54755439694452, 762.64675368050302, 762.92397091763974, 763.23267658250847, 763.54285544023423, 764.04743234297837, 771.38146788628455, 771.40983903425433, 771.67336058185219, 771.92679312320172, 773.31715687248834, 774.21209964856916, 774.45445854848731, 775.76441912668577, 777.93035507996001, 778.06568468438297, 778.7772793062494, 778.94773102100191, 779.12427399808359, 779.17542879848054, 779.21100568946645, 780.73926245359792, 780.78277314663637, 782.35464524811869, 783.51857005014585, 784.34930317549242, 786.36195267051539, 786.61017961530524, 788.56594107346655, 789.20056317173112, 794.11176915702617, 794.52612164956429, 796.51392618153511, 797.0909960482586, 797.50755401833464, 799.03752890196722, 800.12965345426983, 800.8757915640532, 801.37907483169306, 802.66976171321539, 803.22369166969531, 803.80076881597995, 804.31437162669079, 804.4775348640477, 804.67810513868301, 804.99858404355098, 806.01907073922644, 808.15234681980951, 810.88214580759256, 811.27700328799369, 811.39669203822632, 812.86647472871971, 814.28556661905884, 815.50569333280271, 816.44344440217719, 816.68202131459998, 817.02149309551703, 817.98741576540203, 818.59207398198112, 821.67713195293254, 822.47943856498603, 822.96643778151702, 826.48956445049873, 828.13416901915105, 829.73835435483829, 830.32777405000797, 831.17832719089722, 831.70964087333221, 832.16467494750532, 832.71617367950319, 834.42265502798944, 835.55258397681143, 837.42367030453056, 838.75204609596494, 840.03516156636329, 840.2027744950708, 840.29535832854265, 841.75008018506276, 841.95373206720785, 842.99237927964134, 843.54246887736542, 844.32942256167826, 844.36220489302843, 844.87274036510871, 845.92547413965292, 848.84017925397495, 849.73981812861825, 850.83471514417738, 851.82968847009454, 852.81483851870291, 857.18372050915821, 858.07871138015707, 859.12374627298584, 862.23200862338865, 862.51845191261145, 864.76166447148432, 865.89083860138703, 866.63204669050924, 866.82840468964116, 868.32410555288402, 871.39769125138139, 873.05123754430554, 874.24343534657851, 875.21165290684269, 876.00036266174493, 876.52997481999648, 877.80617347463192, 878.31509158857443, 880.33829404914025, 884.67376103936454, 885.7241760198342, 888.10909413918, 888.14850881866528, 888.75077670179382, 889.62820562351169, 892.02795941290833, 892.491026855835, 893.18801409829473, 893.63851269985048, 895.80182168679937, 896.33601157914302, 896.58894269324946, 899.00110420582666, 899.36297056631781, 901.44248250899909, 907.62305340181877, 908.7483886637649, 908.90605222788361, 911.36584947550512, 911.85111825448382, 913.31036795607952, 914.10798480251685, 914.27674116668629, 914.5956528017532, 916.30352341014896, 920.21815035720681, 920.84269566032981, 920.92886872225608, 921.99591684880545, 923.30522870764639, 924.10915233757692, 925.01638376153801, 925.27396765130993, 925.76287359996684, 927.42242657451413, 927.98797646555431, 928.22117267941519, 928.36103633903349, 929.13985389013646, 929.33052404961199, 929.53010940040838, 930.67156766517394, 934.80934701023364, 936.56895056260157, 936.75096279733168, 939.08664138545032, 939.97454559685355, 943.40477054452447, 944.80271195270984, 945.22264239030676, 947.5078736363472, 953.99014960689965, 955.46071184339053, 956.08931233732903, 957.41727472742957, 957.49289345321256, 957.63129722230076, 960.51004668781673, 960.89055789022245, 960.99152203659378, 961.64188639388237, 963.26918771884345, 965.66185118159433, 965.90229302046487, 966.29624831937588, 967.8272768297121, 968.07510715459478, 969.09338441561647, 969.19504530632412, 970.47657200642061, 970.89443764919235, 971.0664440546193, 971.27475391950998, 971.92903876107346, 972.78762636710826, 973.42332372106296, 973.83166666411057, 974.18613491948759, 974.71265701344566, 975.04566931009083, 975.26598538434951, 975.85224214084985, 976.75025192889086, 977.49122004088531, 979.67961781579231, 980.27411309010449, 980.81425311657438, 981.36780383474365, 982.5152969742071, 983.15953891496326, 984.62452623921774, 985.24260326551268, 985.44159749690903, 985.79863457332169, 987.11820743884994, 987.194043212971, 990.97053420678071, 991.56293624301543, 992.64856412236759, 993.92436881937715, 994.02571178230187, 996.3627103396376, 996.53882621872367, 996.83595778847382, 996.90312914100969, 997.13903726364583, 998.19300776419107, 998.91628304934716, 999.067244759966, 999.3820132847402, 1000.3250752081891]),array([2.9710177186575981, 3.5922295732340661, 3.6922416197105021, 5.0522907821357927, 5.1943236945496896, 7.2164031754104947, 9.0685458560650449, 12.142591507548557, 13.732993284077534, 13.941860249411546, 16.123535370411094, 16.362734907625342, 17.822398735645827, 17.921764803403306, 19.558983448997999, 19.585471024077648, 21.049322776826287, 21.119988500123398, 22.13779622411835, 24.665416964999427, 25.496123076258865, 25.564205592885649, 27.445102161377672, 30.028042342938509, 30.0623688563117, 31.977498770670397, 32.16720033255551, 36.13711211648905, 36.461595681280691, 37.787432374676136, 37.808729668399529, 38.080024516365661, 41.020884141539646, 41.674796802521797, 43.164016491180902, 43.99371987294905, 47.582824927896993, 47.993105802902846, 48.265799150957001, 49.349654892939157, 49.502491824241979, 50.267151537691952, 51.96648154872139, 53.042874283205329, 53.485567569529579, 55.750218421123442, 57.564877295456931, 57.681819451613713, 58.565394917560681, 58.785585348680492, 59.559582619115616, 60.636229645265857, 60.778416501846159, 61.085897659646449, 61.723604272732956, 62.578674603719193, 63.210242028463668, 65.107225397254282, 65.53249007044127, 66.157696045091839, 66.910647391301225, 68.704910171570887, 68.812332969180673, 69.50071393801467, 69.918810881000994, 71.020227105407756, 72.342963776144813, 72.980854852225434, 74.386927053188856, 74.823672240147275, 74.853497088987424, 75.488695421014455, 76.684556300533714, 80.031108332083107, 80.458219389961329, 83.309646355500973, 84.023362209242975, 84.228124842491326, 85.153244361797647, 85.326133588147073, 86.33475879470835, 88.363392659333044, 88.441237080691465, 90.131302810808336, 91.065748099666322, 91.25987603030994, 92.456544618795178, 92.990903136909395, 93.470600631285379, 94.339209749664974, 94.599514879133736, 98.112249086882628, 101.75482354116394, 102.10108119197608, 102.76577949749895, 103.26515602319272, 104.39455493822344, 107.38645615635824, 108.14287548824498, 109.13289846827936, 109.24773477395981, 111.3285870869598, 112.51465832348134, 115.11618411318156, 115.17415355168893, 115.53734636427197, 115.78320358994864, 118.26393342974731, 119.77646738130517, 121.25958479062523, 121.64588204426833, 121.73620659834189, 121.91427276587613, 122.15630593116921, 122.51542560155488, 124.29415155598247, 126.7477426155293, 126.81701731860193, 126.89720464271923, 127.57954007243841, 128.02394043502315, 130.29783491208846, 130.63233193501375, 131.29981096527533, 131.52154431207128, 132.25580408427899, 132.38527598269587, 133.74877048713702, 134.1379896757619, 135.0121463997171, 135.66232813502518, 135.83186276848249, 137.53289515673944, 138.58214769663255, 138.61053674806789, 139.32372217456026, 139.46057701008439, 139.76743804202985, 140.22642729100264, 142.74524757838404, 143.43503952441304, 146.70610598120601, 147.39437597758211, 147.54131970459036, 148.36828994141811, 149.81229757791138, 149.85013659421247, 151.57154287839359, 151.97762292292856, 152.20710597043487, 152.49268413912662, 152.70452124684505, 153.51376590164779, 154.53393050331547, 155.9592228626264, 156.14538362890423, 156.16805578196983, 158.41665177951774, 158.98489267610995, 164.06592099575226, 164.42132287252804, 166.1512016197544, 169.35736136737518, 169.92806050661963, 170.29073573988387, 171.94376469355271, 173.7961250875282, 176.36738903161043, 176.44186421520175, 177.64769361593511, 181.2408893321774, 183.30523810221445, 183.68204862899637, 184.29752829084001, 184.42321368605798, 184.98765192787329, 188.01899848554186, 189.78903153392451, 189.88842969157582, 190.79464819707155, 190.86800172793619, 191.01093474032876, 191.58811767302956, 192.18518269780765, 193.15839885223957, 194.14820181834253, 194.20240029620973, 194.98254618813073, 196.15451928308312, 196.4781478661717, 196.6938171855887, 196.78963073630956, 196.99945878847126, 197.17577730517189, 198.90374020219565, 200.03611694160068, 200.69602719620269, 201.28216417719193, 201.82565134027544, 202.8425537389067, 204.2833616719773, 204.52310989764726, 206.01314642983724, 207.15384019199038, 212.12708071685012, 214.23001537294533, 215.70655449593767, 216.88938512507536, 217.39191148423532, 217.74527100657514, 218.36744087903867, 220.73547976799077, 220.92137036677107, 220.94518199051097, 222.03506637743391, 222.09409622986186, 222.77085777862982, 223.26876919055309, 223.50643325070436, 224.23007617468815, 225.00670037695662, 225.5173937346477, 227.31307639910273, 229.00473896606491, 230.85502695390699, 231.26794452071005, 231.92401823353785, 232.15751957388076, 234.07651870562862, 234.63581144243219, 236.33087485007721, 236.35158079149213, 237.61823542229502, 237.86207609523038, 238.61800227606435, 239.82116906276602, 242.44239919795695, 243.44140892322673, 246.16010082334327, 249.14114407651232, 251.4134139269018, 259.57818344550094, 259.93323472216133, 261.58610831175093, 263.17080287998772, 263.56768929883862, 263.72288962047696, 264.67481470215256, 267.01657654283264, 267.91354459289892, 269.58365271795026, 270.08631986176647, 272.68234170987222, 273.3794749790473, 274.7136744156843, 275.62273423225099, 275.77992923693478, 276.58746207332518, 279.49398967375288, 281.25201274880084, 282.42535827074113, 283.06592980647548, 283.10333886129285, 283.64348717056686, 283.89273573534365, 284.3486633776219, 285.57779935559591, 285.99449332411473, 286.66268491195012, 287.48361287176442, 287.82465175862541, 295.8254359381873, 296.05052072336815, 297.69910069347969, 298.30729832544853, 299.04679769064239, 299.61712785116941, 300.25991819519106, 300.46710309693282, 301.76386849712657, 303.18690953994712, 303.22703479921591, 306.60100242889791, 306.84479149697484, 309.31624435438965, 309.98239462481666, 313.6514419509852, 314.87644375799573, 315.72991987354857, 315.76564693031276, 318.10206371863234, 318.4224745740762, 319.50849668588705, 322.12418706930379, 322.64787907711718, 322.97044756157754, 325.39088380949227, 325.45794973500313, 326.35685997873799, 326.71889362229291, 327.65828428318019, 327.85816342359141, 328.607944578071, 328.66595300522158, 328.76810612919172, 330.4006380990545, 331.90225952318815, 333.60914506899007, 333.67104728807521, 333.78258863734118, 334.1696515261267, 335.57730518282045, 336.31844375323942, 337.28745070432467, 337.50521365143521, 339.12683747273553, 339.3949689242354, 342.44885255300062, 342.63144410834065, 344.32514862316134, 345.53059101012866, 345.95141666708798, 346.23221917658879, 347.58884612989084, 349.05763391026136, 349.17108027118854, 349.21208014377788, 351.97880381391116, 352.43277053277245, 353.11659278307661, 354.28333127316984, 355.1149387126282, 355.86770188999628, 358.8698354816504, 360.55261457272752, 361.0520697256041, 361.62587393596198, 362.08581997159962, 363.52363874075712, 363.6386793147617, 365.52182826686004, 365.83300676838206, 367.98987360929971, 369.46946779501019, 369.70297275529276, 372.65476925020778, 374.83713290729497, 374.89190508946979, 376.7825021582351, 377.70401705803266, 379.3051734248096, 379.97987208451769, 380.25373947454887, 380.39934726272969, 381.37294352462715, 382.25667774406094, 382.2969814249621, 382.32608516898432, 383.53973984774279, 383.78784292857472, 383.90930052659922, 385.9061332578064, 386.60655873749101, 389.09350503840318, 389.19445516931484, 390.35163792828342, 390.71671029009877, 390.93473621072047, 391.24172253574409, 392.00912700244561, 392.51899754085775, 392.86218287591316, 395.8065854905621, 396.65201726909612, 396.92732220710661, 397.5955568291007, 397.6945302152107, 398.26502021194335, 400.16759869351313, 401.19200042220712, 402.75022143957784, 403.55259150296337, 405.09198566283186, 405.54110448515019, 405.72854402229092, 406.15287213600197, 407.07225452341504, 407.27793789185148, 407.64977100739151, 407.89474252881536, 408.89615823435565, 409.91739249767909, 410.17250908794921, 411.46577752409542, 411.60449267720821, 411.83384346691741, 412.93439715123225, 413.12193259140685, 413.7080911067236, 416.14781714377432, 416.9630945598152, 420.18255963552832, 420.35314578133364, 421.05279268174826, 421.09209758728394, 421.15568214720747, 421.17703936124167, 421.99632790136468, 424.82880264291282, 425.51107795670373, 427.19997122950167, 427.63442155014081, 427.97476452223759, 428.20972999518108, 428.99130641851951, 429.52729164496225, 432.08190619693323, 432.3445426796581, 433.50232999041447, 434.14776583120528, 436.3227209769027, 437.88977321000647, 438.48639652602014, 438.57719875667465, 438.74948499084195, 439.55272627973693, 440.126509943992, 440.15160399172652, 440.25412961233332, 442.04339712632338, 444.67205609118571, 444.84373511038234, 444.96302246978837, 446.60656979592926, 446.94676750523638, 447.57429749010691, 448.14846812197999, 448.19439236578313, 448.58427385002562, 448.84731299406155, 449.46025234821764, 449.72832431451144, 454.62360083014119, 455.44565682575529, 457.82138674930445, 458.09121429925017, 459.76299177388989, 460.27169049888909, 462.03030715124112, 463.81441365796917, 464.45327756870955, 464.72815908166689, 465.10946520589101, 465.20401008008378, 465.56744870083821, 468.14828459697281, 470.38342628645324, 470.58460657142797, 470.92398470718331, 471.18481046793784, 471.42686291090496, 472.65122160350944, 472.74980943238069, 473.80704912140112, 474.08108643019074, 474.37040809732315, 474.91709410978717, 474.96495733802249, 479.32011559991105, 483.19210741824594, 483.70240260202894, 485.01904919558871, 487.5827069999429, 487.68085867491624, 487.96041598716835, 489.24708629152724, 490.29839329340399, 492.0089007049981, 495.82606827062835, 497.14194653869555, 497.96779526147549, 498.38787435806069, 498.67703373334388, 500.24600836018863, 501.05114981126013, 501.09025813244762, 502.23001316864122, 502.51271984597611, 502.70289946955552, 506.06176429613544, 507.23253208006776, 508.2789492981621, 508.89763961040507, 508.92840527782886, 509.3533529480934, 509.888810540235, 510.73467002538302, 511.04081110756192, 511.67130124206403, 513.03848935901954, 513.61973653069151, 514.61581627690612, 514.70593428626592, 516.92308221921087, 517.02615294481484, 517.73519781246341, 519.88574104054703, 520.04483740661021, 520.3291258512287, 521.43742937649904, 522.81324506425813, 524.67427049836829, 525.48088555419008, 526.82652079431773, 527.11898021207037, 527.85759285034305, 528.68646258918727, 529.99791573194079, 531.60034979492764, 532.8791448132389, 537.50825373490193, 538.16576749229989, 538.52987164381, 540.51588582999625, 541.13190655128926, 542.14257196784854, 542.71257624800842, 542.83550079997292, 544.21349369434211, 544.60032509665496, 544.74834249820822, 546.23240583410461, 546.4740915181568, 547.46235679722054, 547.74757479130676, 548.09874947482615, 548.70886915976246, 550.14962485833928, 550.90035368034114, 552.67109915135677, 555.23717651680499, 555.70632753372433, 557.54702783015773, 559.16723930237458, 560.11386576432335, 561.37073282653478, 562.2537860645549, 562.31965242277693, 563.62795529344089, 563.69439435747904, 563.81336757614281, 563.89176939203628, 564.09516058355007, 565.08991405137397, 566.20132906203492, 567.04725460249233, 567.31131909197995, 567.41026501307942, 567.59944709107083, 567.82028654417115, 569.89928806405555, 570.78437487141628, 570.84206900926779, 571.29538757346984, 571.74323625704801, 571.9858949815939, 572.81972750491786, 573.08560078956384, 573.37521465966279, 574.0517256013693, 574.53353631918117, 575.76127680093646, 575.96714148980652, 576.65110971729985, 578.11337826402564, 578.29138219839297, 578.65669935243795, 578.92914956332174, 579.82341446759926, 579.86405112504463, 580.86262762482909, 582.30970988447041, 582.49281443157997, 582.96744319964944, 584.05775289191649, 588.24784516297859, 589.20777381238679, 589.25735267800144, 591.19475825522045, 591.70239743363913, 593.33124044947624, 594.03349641963996, 594.95684870301579, 595.57911938722395, 595.86033243319503, 597.58020023462552, 599.01665220963673, 599.42148210152334, 599.85111984925913, 600.33756248523684, 601.13617508315156, 602.46536242159175, 604.7686510801783, 604.94747519258135, 605.93905518085558, 606.94863360389297, 608.40786462062715, 609.19827671971734, 611.10980016159624, 612.00679961536616, 612.06756716571806, 612.15296925706969, 613.45131324044576, 619.22152219481848, 620.3563535587366, 620.70821755975749, 623.44509871428477, 623.47807978894105, 625.12941535204618, 627.98223294494198, 628.13273336029658, 629.37875723754576, 629.51274903568867, 630.26534672536638, 632.7244727564497, 633.03869642412701, 635.7049638165156, 636.03430444322771, 639.25034676035466, 639.71048087672739, 640.0406544965108, 641.06334199996923, 641.19997467230428, 642.94493881598953, 644.43734825874378, 644.77927328381134, 645.04203602857967, 648.41722136649491, 652.06711565947296, 652.18493853113182, 653.51060930967583, 655.17260170768168, 658.59388894654546, 659.69142876638148, 660.51474021537263, 660.9664122396855, 662.18438230719653, 663.96501310319945, 665.15832430965725, 665.30511828120325, 665.47674001141741, 667.33607157959739, 667.77146907156839, 668.72807739844075, 669.30316842907268, 670.29238468216977, 670.97653242610045, 672.45724110608944, 673.80995199617598, 676.55212083449783, 677.25886837618509, 677.32742799895766, 678.48917160386054, 678.93700973399109, 678.99977676466006, 679.10989517386213, 679.51055298203494, 682.01784797947391, 682.26310296930455, 684.07005879836015, 684.51916869869513, 684.81671149935119, 685.64165825819396, 685.77182684832428, 685.83473004221992, 687.13253281443917, 688.29278253793404, 688.60068765581184, 688.80953182165933, 690.35466938724664, 690.50665777978566, 690.88527101506031, 693.22093143545737, 693.79003009340363, 694.48088623604531, 695.87712662833985, 699.11343774092734, 700.2058282194879, 702.21153679412157, 703.90352679427713, 704.37823472608306, 704.61246786428512, 705.18116113417511, 708.8165919777299, 711.07266320381302, 711.81027925463479, 711.99862363072828, 712.29500201804183, 713.23952096309495, 715.04032739553224, 715.2366938922911, 716.21466872304143, 716.25795964870542, 718.3687722263079, 718.6962885820459, 718.81814063107436, 720.59089645353652, 722.85365189914228, 723.47802736889923, 724.95928234323196, 725.3450023651061, 727.28073862537792, 728.94083733093703, 729.61680800623253, 729.86775031928028, 730.33484764390619, 731.92139856636902, 733.33103699264336, 733.60586018398692, 733.66619705763117, 733.89031977532909, 734.73086876969739, 735.09531824675821, 737.45954087838686, 738.74906564155799, 740.22859956944524, 740.54316942691617, 740.95270521020007, 742.04242774558361, 742.22813686250186, 744.00302633177193, 744.66393562905478, 747.02736566923704, 747.25127100716179, 747.78310662659612, 748.4605389447114, 748.95561909328842, 749.98902914029043, 751.08287074582779, 751.31385752317124, 752.40128261737209, 752.4548214358839, 754.50495515494777, 756.09579951271223, 758.09311927021668, 759.15366601007588, 762.00995484763894, 763.56242351713001, 766.01825318779652, 768.85031225755449, 769.06901077145449, 771.19367386506235, 772.01939917225093, 772.82559337623957, 775.11234007209225, 775.94262458020626, 776.41769635410947, 777.41045516456541, 777.76452413881918, 777.99168209785296, 778.66813885698809, 780.09849773065457, 780.58834346520564, 781.76008592701078, 782.17335708113717, 784.80277459844206, 788.8070786235221, 789.2982071143341, 789.43481931159772, 789.70328443332903, 789.83110159133889, 790.06331753240499, 790.17972209046331, 790.55012720603986, 790.77029205615781, 790.80512483225391, 791.30205899540908, 793.10827353996717, 793.78284088875637, 794.42190663399185, 794.5517318721154, 794.67781720239543, 796.03945558653436, 796.45349595260643, 798.77071907492416, 800.2757483864624, 801.33388979513143, 801.48439877686963, 802.46423150676617, 805.91908894249957, 808.1732371119557, 809.57025693247772, 812.84912690983924, 820.55301734505395, 824.04227286179196, 826.62183298093214, 828.69539780001412, 829.23961794279137, 831.43112493119133, 832.07381361392822, 834.2602549220959, 836.33443049064351, 840.79257469230095, 841.12202937118423, 842.31333473512097, 842.53933449574072, 844.13670963120023, 844.4646935329107, 845.37295245148016, 846.52295151383589, 847.22172116522108, 847.38320610801691, 847.64760234745336, 848.41921619977677, 848.60523481364999, 848.87179668874285, 849.55250322432369, 849.62878602560431, 850.84424180704355, 851.61886053161254, 851.75218734553505, 852.79291115822866, 852.95302761758057, 854.84640587843114, 857.01752777227989, 857.20589679683474, 857.34667290891139, 858.90417651656651, 858.93198224755599, 859.58277755673316, 863.11807574750878, 863.89196785551701, 864.57275609007536, 865.67045627900939, 865.94299771513397, 869.31761412972992, 869.82301100566804, 869.92671443122356, 871.85203976242997, 872.06527620966926, 874.19269495573064, 875.46055589320179, 876.17416164835652, 878.68562442809116, 878.99842405955246, 879.61858298551999, 879.96800137994569, 880.63442493597302, 882.70415498111743, 882.80670754543291, 883.62073893050808, 884.7420924815757, 884.82694572264484, 884.88503330555818, 885.69731079882763, 885.78455650823616, 889.11338269518069, 891.26254331068355, 891.46519633927653, 894.0319128176626, 896.64131552870379, 896.84096262929347, 900.29307515313997, 901.09158585616694, 903.53799519750692, 903.94033557073851, 904.01530077656844, 904.45498641924792, 904.6916488603714, 904.77347652276273, 904.85121610024521, 905.62314483351975, 906.34920209636778, 906.73604785091618, 910.09747518606343, 910.25314520711117, 911.08992526252621, 911.35868526270565, 912.06426693062633, 912.75184548003301, 913.06864680356352, 913.62533805294618, 914.54743671612334, 916.42725052357173, 918.07278653499236, 918.56004251929926, 920.21323380237027, 920.24005544715317, 920.290612577145, 921.52770513507346, 921.63794786271592, 922.35721446335981, 923.07723103585363, 923.12944516900154, 923.8350117063768, 924.38845868476938, 924.58221024711543, 924.98506593447667, 926.1752979673546, 926.34628734021453, 927.54843828757419, 927.65448361899109, 928.3109646896072, 928.59074905639591, 929.04523943921208, 929.46944972493429, 929.83400964160614, 930.51001042723408, 933.43843264792849, 934.86450732096375, 936.28305549665652, 936.81306842741378, 936.86361033636058, 937.42499264753712, 938.85706547718564, 941.39554773795487, 944.27075536584812, 944.80870091610564, 945.29046820999781, 947.15506538631359, 949.0987364966021, 951.0761585308552, 951.90830435358748, 952.07524024665668, 952.19690088577659, 952.25391744998478, 952.72089884041588, 953.48385058625013, 953.75206535025495, 954.32634116540316, 954.68549654603794, 955.78593392140033, 958.33080337089632, 958.70881050160926, 960.01444053889668, 960.06242940033758, 962.46605000748832, 962.61212104684148, 964.63739743700887, 964.69323411209405, 965.03400773647979, 967.00632801352447, 968.72570111246057, 970.76475294857948, 972.68179784812639, 972.8000012445965, 972.82815745560197, 973.18443478925383, 973.76383314736586, 976.00964960250326, 976.09113123610723, 976.20140669141665, 977.13113128881298, 977.29849014144986, 977.90172563885812, 977.93204646518359, 978.9925100266239, 979.621639950945, 980.11676545295745, 980.4278885786598, 981.17490486968518, 981.39852337862578, 982.2762490789836, 984.0587268501672, 984.92220997927097, 985.3435045351963, 985.64445880607059, 987.21186558177146, 989.46292164922545, 990.74064097812663, 991.95186972678493, 992.19889203944365, 995.22609696696156, 995.69616471014081, 998.92034204720426, 999.07172641655075, 999.26752612152063, 999.52703558642713, 1000.5902984579757]),array([34.134627522840901, 34.677895975393369, 35.249173399418147, 35.427194950815057, 36.829438030425457, 37.205701358912513, 37.473522461454984, 38.381521170399814, 39.261611935622099, 39.623796537619867, 40.573520045931701, 41.082820261734085, 42.032374935824464, 43.495095748088069, 43.894916935849508, 44.658728879543744, 44.865745897782467, 44.940373803361155, 47.264634515379129, 47.490883158691496, 51.399320591182558, 53.204076788665546, 57.206594480858975, 58.628304158060416, 59.917183062493095, 60.429482517555115, 60.777220715494259, 62.296082213347205, 62.873830941704597, 63.643345165544353, 63.719831286968379, 64.705737212728806, 65.468238150122033, 65.75211560644837, 66.922816849931735, 67.303683003807848, 67.349633402007072, 67.541201288908255, 68.047075153051225, 70.04536866221423, 70.644951601998429, 71.109986477882387, 72.419158723969815, 72.853209005816979, 74.217013406969414, 75.498528830534923, 75.873573350831421, 77.435311201940351, 77.731065652442254, 77.759820063824463, 77.828878873540006, 78.234709256960898, 79.28921303261086, 79.572167621430253, 79.965442827912852, 80.024942581858554, 80.973470959878682, 81.016320912671446, 82.392865036063341, 83.03370092825179, 83.308524375712025, 83.511994742505081, 85.245271344328344, 85.452248995971303, 85.64634525297447, 85.692174674663207, 86.206822143890506, 86.73972039306615, 88.148452547773928, 89.810461696340184, 90.001880685375767, 91.427305045252609, 91.793649984281245, 92.76583825111851, 93.806930336915897, 96.44625819250372, 97.740123316934302, 98.074605253108686, 98.643071916986102, 99.632580036577934, 100.04199698805013, 102.55046656331729, 102.7451558225634, 106.68419120104214, 106.94319473136045, 107.28116162985926, 110.08732869699945, 111.31805290155266, 111.9326240367259, 113.3026201540619, 113.46459581490389, 114.69131950058714, 115.13283028073052, 115.68007292643141, 116.31808695114104, 116.34116269581433, 117.25231816013842, 118.98454082363392, 119.10110628789556, 119.24355014807854, 121.84993630435646, 121.93411523777151, 122.61494610993951, 123.94895302063982, 124.31224469917781, 125.41349458426102, 125.52999798209559, 127.10386509927187, 127.54105665772347, 127.56147993019033, 129.39751937270842, 129.60294519625643, 131.63964809484801, 132.5070653935496, 132.69334744913456, 133.30558822133821, 133.40449495088137, 135.24045308898189, 135.3258226020121, 136.02604498582267, 138.3386256598188, 138.57370816743685, 139.48497914210938, 140.61822354703986, 140.67311852560894, 142.06387938717666, 145.19561459447286, 145.36214662734554, 146.96364714457383, 147.44934272565422, 148.51596090840187, 149.24153499858298, 153.77360368520002, 154.96136056749711, 155.09692592782213, 159.43898798969224, 159.72148607071736, 163.47286618872832, 163.66525456246373, 165.99778317917693, 167.3508495383881, 168.88236208815064, 169.99854376109215, 170.54651793831738, 170.70772839723648, 170.99218391718435, 173.12484311320486, 173.81293426353787, 174.92876211639441, 175.0365960777176, 176.12652996573777, 176.33547210456297, 176.86094490460187, 177.28743922709384, 177.33398289316892, 178.46796021029067, 181.04454980752237, 181.51800240311607, 181.54226709778024, 182.02265938958502, 190.57011765484935, 190.78564109157566, 191.44438896342083, 192.09297466057268, 192.73269764443762, 193.21226531995973, 193.69403784001864, 195.11697018041934, 197.36725537580003, 198.07430979464425, 199.72296526333261, 200.13257820030384, 200.19782970506247, 200.74259245398039, 201.52116802931263, 201.72975611248114, 202.48038407549947, 206.74346674111231, 208.33077269905721, 208.93088770881386, 211.02172747354803, 213.15489787718096, 214.04515122724351, 214.22451092425064, 218.32579623719363, 218.39808710492034, 218.729930348973, 219.70865086192592, 220.40304750850078, 223.0941484365562, 225.22536216669315, 230.61242880267315, 235.00129242203749, 236.47406523534593, 236.547373633539, 237.3387441614708, 237.36650397688337, 238.99606995152007, 239.19602268731455, 239.95243050725273, 240.50818586623782, 240.86769950134041, 241.08311437320185, 241.3268499201194, 241.50350485513837, 242.70020008729827, 243.86777224104858, 244.50547227666002, 247.19905990627643, 247.45519843086592, 247.82204853233205, 248.41618247826736, 248.67191287954128, 251.38318211384762, 251.930662799001, 252.67343910829106, 253.72958039516666, 255.14653528164484, 255.33236984695196, 257.1499984746369, 258.65440736876803, 258.7989182507647, 259.02646766748109, 259.52076206047053, 261.57548032016473, 261.63829577022068, 262.09845500506844, 262.47777055487626, 263.32608890112516, 264.27021517873897, 264.29396163613904, 266.2016883083632, 266.28859201357534, 271.15525434488222, 271.65950875216447, 272.02620118959936, 272.99189573357336, 273.56792958576938, 273.66797787833957, 273.96686954546914, 274.86261111134803, 275.48542332082656, 276.37712094062539, 277.50661503721807, 278.79520571905488, 280.01849749882695, 281.25875028650643, 283.36945123412198, 283.97129361271749, 285.37926908733857, 285.86848395330816, 285.91363880260167, 286.21370228624085, 286.28389563108072, 287.2663782801738, 288.11733233575433, 290.01735749891031, 292.60758777023403, 292.82103215992584, 292.97737253600178, 294.35637927130091, 295.07104419198436, 295.24104095639041, 295.42858618146408, 298.12615145955562, 298.8608294545748, 299.29708717175538, 299.48526615924533, 299.66457746531916, 300.44380590264831, 300.51986097317837, 301.35400919923632, 302.80518400454349, 304.2773670450984, 305.99938307742894, 306.87143770201794, 307.74213899775503, 308.84788994711266, 309.03461191391136, 309.82029433015805, 309.96772005115395, 310.14204439186267, 310.87833672427513, 311.26271922472972, 311.47866800540271, 311.69611921979225, 312.50095602768795, 312.87210748038427, 314.76509737330292, 316.91995544172306, 317.0528363770074, 317.82872875746887, 318.07341131441103, 318.76062631225511, 320.3923644026226, 321.20492072848862, 321.61531464751283, 322.28009891908471, 323.71429507449216, 323.75030252681222, 324.49142537041558, 324.61248443432754, 326.0680345499519, 327.7501695078314, 328.29178126743466, 330.46531946279146, 330.82912376972007, 331.19846389485133, 332.19583849842121, 334.45781565415029, 334.75709508798496, 335.85016566345263, 336.29947218746923, 336.81904552443012, 338.74071418616126, 339.33903617107978, 339.59975211085134, 342.33224173314358, 343.55727656437773, 343.7539533860122, 347.14194835451497, 347.65801432009999, 348.03623047033375, 348.18914703955136, 348.58815937887471, 349.2321525011472, 350.58503001122483, 350.98899992294804, 352.30861575797519, 352.67278207974823, 357.26615190712175, 357.37526487946428, 358.59437392761487, 359.17716272254745, 359.27849647141369, 360.07322970910297, 363.14788377162677, 365.78718454342777, 366.26220153030602, 367.01427565551637, 368.41865509305001, 372.05545725748721, 372.26796156717671, 372.77981053630407, 373.07758476507081, 373.94026472291262, 375.63552818835552, 375.95162933152375, 377.14240881456874, 378.35571201888416, 379.83883630701246, 382.14394250842957, 383.02680746433634, 384.01862059949116, 384.07293988091993, 385.15208359314528, 385.5369892993732, 386.15052822063001, 387.92612262598664, 389.53462730874645, 392.22437857193654, 393.85655265437248, 394.08709124228136, 394.8389713723638, 397.04134984076086, 397.79364975672456, 398.68113381542628, 399.68164280312499, 399.89480311052785, 399.93311889907699, 401.50948835788148, 408.36858435315673, 408.77836755644978, 409.29133171115734, 409.71001496199671, 410.39628214126333, 412.78283645732313, 413.27471155452923, 414.42587286777325, 416.29208254156407, 417.28029593710653, 418.62595635723602, 418.68430324346775, 419.91061914401212, 420.79642764309045, 424.16607512595863, 424.62910136204243, 425.08641786505541, 425.90739027389873, 426.53464638652673, 429.2383062457647, 430.87821904468075, 432.00758846391113, 432.59916725760371, 432.70524697573126, 433.83036248922582, 434.283462784731, 434.5406188535855, 434.56516571205498, 435.26579456569391, 439.2387631823201, 439.74998337682291, 439.83454192569184, 439.86448577861864, 440.90962998053976, 442.52930421659443, 442.65871936201154, 443.12920696374732, 443.62931947225798, 444.28163198524476, 444.6370341514538, 445.28264910125097, 446.47121117442867, 450.03213072605666, 451.5805584301674, 452.09296249542331, 454.20949030959065, 456.40533878278495, 456.86176178438177, 457.54826121441226, 459.5216178598867, 461.76833355255417, 464.43151676539895, 467.37751314914675, 467.43743683242991, 467.82155507326223, 467.95757967203855, 469.17956620367886, 470.01803036687181, 471.61923471043599, 472.86510854348614, 472.99305845823471, 473.36861712025251, 473.62727186617195, 474.10241808002263, 475.20204664765345, 475.96633293825465, 478.37812746416921, 479.30981184262799, 482.61080055476731, 484.26333221698286, 485.03315434484631, 485.91394432772017, 485.97144890566102, 488.44600688766172, 488.70176028416762, 490.61307459554882, 490.77156609590082, 491.63830028710004, 491.66204244259745, 495.51363912302475, 495.70218754322417, 496.08366749396168, 497.8204332844507, 499.02069343559026, 499.74903410213739, 500.7912093669824, 501.07774189725956, 507.51142014981207, 509.17450471434864, 510.24038455561663, 510.88472980515473, 511.41754420473427, 511.92595075169078, 512.00486180595647, 512.58644772768457, 513.09840813613073, 514.34659623752293, 514.9468288254086, 515.74785204551233, 516.41334850155727, 516.8874831886385, 517.40966131486186, 518.60057539454658, 518.9354314971431, 519.32663881769713, 520.01775001615488, 520.99723133865712, 521.43385771545525, 522.96959224333307, 523.28927488615625, 523.49303004862452, 524.0964953453132, 524.99690386819373, 527.30661594804212, 527.59070955320101, 529.74185597851874, 531.44254333748893, 531.70038097401732, 532.49676343700708, 533.89599575158286, 534.19412274530032, 534.65302201583836, 534.79341606907667, 535.08337814533604, 535.92595159491555, 536.35337146850725, 537.8394578399475, 538.20010721615267, 541.62858786798392, 541.69374384617356, 542.93921802533328, 543.34494166440879, 544.2807858229155, 544.38507271651918, 546.18150611527005, 546.29997541373575, 547.63125403357219, 548.47124542408892, 550.79783361814543, 550.9507738657602, 551.15174091727101, 551.58718323782045, 551.94768379735615, 553.39307111750031, 553.75139894682286, 554.1604736756276, 554.70347744581113, 555.56283375142289, 556.10095503139019, 556.24530153635885, 556.83285099809314, 557.96863092411127, 558.63426798111084, 559.57314424290269, 561.57527993821282, 561.71117920260247, 561.78889032892539, 562.28312870920831, 564.0760035792224, 566.08998878534328, 568.18565705550952, 568.33097250945093, 569.19499712786455, 569.56008203075442, 571.27437915826806, 572.40907611460443, 573.64154814161645, 573.76901176113734, 575.20960545648097, 575.7861837538095, 576.51143408784799, 578.99840694865702, 579.3233122315894, 579.38985911152395, 579.70538906422428, 580.0055306045997, 580.15757453539356, 580.66930882912243, 581.23510471748625, 581.68178450440075, 581.85906842443535, 581.97738645960749, 582.09170845095707, 582.26558903720911, 582.42374813040476, 582.69238529917175, 583.08224979777253, 584.50459006061203, 586.51321776767293, 586.62943984321726, 587.05250970419661, 589.06722120786378, 589.54734517924749, 592.00320941356665, 592.36321108365007, 592.73293104142874, 594.34277145100953, 594.46083064569814, 595.43489803346961, 596.8561713666553, 597.0749010517651, 597.49689851000255, 598.23548262848965, 598.47591145779029, 600.46094147067788, 601.10492456295799, 603.14426390769688, 604.56040071056259, 605.98055446176181, 607.08413587804637, 607.10981861676498, 607.91103349498121, 607.96417718117993, 608.59500529921922, 609.8376377064194, 610.10537907809157, 611.05553094266816, 611.18649398122193, 613.31095605041207, 614.41379735092414, 614.85148607675319, 615.37531612527835, 616.35146773801659, 616.75807030337796, 619.22962271964536, 620.83642682827451, 621.60358762648684, 623.2193017431033, 624.39471365732356, 624.73879503194257, 626.29594464456989, 626.47349136964806, 626.83759117252214, 627.72865786196678, 627.81754363307891, 629.33735635224605, 630.36014884423366, 632.83700333885122, 634.37207790632146, 635.13316013275812, 637.99329907338688, 638.93010626271825, 639.54580247118145, 640.48583962961425, 640.65434121127396, 641.58103005462783, 643.66558566966103, 643.74123059549083, 647.15672495951765, 647.18393993513439, 648.23871099417477, 648.44561823350568, 649.81883832735105, 649.96019823851839, 650.20394752904053, 650.38198613153111, 650.90933844362053, 652.55418093666106, 652.72350422679494, 652.90816424208526, 653.37155718591214, 654.48208795540722, 654.57116272630003, 655.09315738856765, 655.92520229910099, 656.0492368719307, 656.88912609721149, 657.08580503131338, 657.89721536751313, 659.56664158219314, 661.06793783938394, 661.81795030307944, 662.59003789295434, 664.62935500468177, 665.97380034432354, 669.5052774315086, 669.60259414778864, 670.61746183970808, 673.66678332364302, 676.54469997095475, 676.73728046893086, 676.99652171305843, 677.4491502790496, 678.69389879809364, 682.15745258580557, 682.71704349158347, 683.1881601450209, 683.22449193285161, 683.45058109971239, 683.94132549800281, 684.17942114836694, 685.00106093308, 687.1003876901342, 687.82043854268522, 689.21743541891226, 689.82864711254047, 690.07674193842661, 691.24005568144958, 691.5999349484041, 692.83133946084183, 692.87117531484182, 693.89061530340769, 695.08691784590167, 695.34517859849825, 695.83999876585551, 696.72854790962333, 700.09885519025488, 701.36262421534434, 701.59595069135673, 702.68370519214307, 703.6049445878823, 704.51062570431941, 705.52740992962129, 707.88642237841805, 708.26408974363551, 709.74449780120187, 710.33499895893647, 710.88176874132364, 711.2790884823512, 712.0571071746956, 712.14777558207072, 712.69844895603342, 712.88752535914841, 713.09448249112961, 715.51762219719069, 717.41603245029955, 718.77123842234766, 719.52046559566338, 721.45185441382932, 721.84835473317696, 722.77723232792334, 725.70181275460118, 727.01556636984697, 727.18917394610196, 729.05124306788332, 729.76358539274474, 731.36571923310998, 732.20979921558217, 732.2469744862982, 733.06005038856563, 735.37134125265925, 738.13749998445928, 739.05584739608776, 742.76681800092126, 744.17020169521561, 744.90968342255155, 745.19110936370873, 745.39170139062446, 745.42275389701319, 746.41036205158696, 747.04971049610356, 747.48753897489075, 748.29206255770475, 748.3298884675113, 748.48833253755379, 749.02645124711228, 749.13124871781076, 750.85716166921566, 752.59160176722617, 752.63937924015488, 752.96954934350356, 755.02892264930597, 756.44156669637653, 758.93446832079314, 759.49554239857798, 759.6362970132152, 761.22474334130698, 762.53773955451186, 762.7909623473945, 763.65280299087829, 765.52712725537128, 767.06388365956161, 768.08201634159752, 772.81436247136321, 775.13179456131479, 776.19761028749133, 776.64873278486436, 777.33176187025413, 777.5046892662358, 777.87876858773063, 778.09615053852644, 780.88593006568442, 781.75214278151634, 781.88828528778845, 784.02384828077936, 784.07575870920334, 784.90605398776358, 785.77949320163975, 786.05298132847804, 786.41754511660781, 787.71742393073157, 789.11259756530103, 789.31946998737646, 789.56108386743551, 791.15310073932483, 791.7421309337434, 791.83919616745447, 792.76720148980019, 792.87021494825217, 796.40754492838266, 798.43628983368296, 799.28142740154283, 799.90910358258202, 800.7148536172341, 802.51640414433621, 802.61056280704895, 806.2537391200683, 806.42022964665603, 807.88010726619018, 810.13967673100501, 810.89843369182324, 813.08897970844703, 814.81517067101436, 815.70880374215415, 817.27553033769186, 818.79034628794, 819.18332141790756, 821.44038950015533, 822.12344493750277, 824.20437453914815, 824.58296480808553, 826.85594593885969, 827.06007369589668, 827.18500338124511, 828.40122686635118, 829.23240276307092, 829.29933714602021, 831.48994082079537, 831.88928661450973, 832.07703235930239, 832.36323493844691, 832.38476796843747, 834.2887009488179, 835.17508684475411, 835.46983601607985, 836.42588330696788, 836.7650954042241, 837.2512566132782, 838.43116775924238, 838.62223893192504, 838.91615745447496, 839.23019537989467, 840.40052477414383, 840.67532225795424, 841.47426107658384, 842.16824255279482, 842.9218403862892, 843.45548827304992, 845.38513703360127, 846.34544172636879, 846.37805660638992, 846.43873835378122, 848.27629031815945, 849.34690877274045, 849.55269319970341, 849.80244262334543, 849.85373827194041, 850.81321835098333, 851.09888717671743, 851.19370577370046, 852.61567556373382, 855.16792750947923, 855.77790084335481, 857.98419570030808, 859.16998793522146, 860.72954362501935, 862.15729386855264, 862.95298676140897, 864.55649394500631, 865.89366781805415, 869.07342171593109, 869.30831582640405, 874.27482753141203, 874.30493359697152, 875.62977121478684, 876.0491159500541, 881.23905459256957, 882.5097090843625, 882.67846597407436, 883.10536457453202, 883.46513430571133, 883.77585052164693, 883.79903212565387, 883.82006348477171, 885.22451169858971, 886.19516253299969, 886.87932621607104, 887.09272221352467, 888.79622559092149, 889.02014198872382, 890.66173502926267, 890.68760784303049, 891.78329595852267, 892.50371225665424, 893.43688153793858, 894.17188258884369, 894.90153056236227, 895.06385831756836, 895.90445964061905, 896.13717715278074, 897.94852230760966, 898.00569493005116, 899.39255749330925, 901.33433325639771, 902.678783739241, 902.8434344182732, 903.31267408591452, 905.50115255286414, 906.31918795843478, 906.80748743156278, 908.41005284551466, 908.87054178393714, 913.67860764526176, 914.04420446889355, 915.66212644002781, 920.48737680451052, 920.62065875926965, 920.78279333487262, 921.48059052248982, 922.22883407521397, 922.31781225780117, 926.48034201900657, 926.51281297090668, 927.5420677284601, 928.84490877265182, 929.19691833846957, 929.2729364826132, 929.88683286663945, 930.78805039870622, 932.15283761263197, 932.41105261915334, 932.52772309750708, 932.58179620145768, 933.93094003634337, 936.3643722070675, 937.17950729332415, 937.76638701418688, 938.34870608077949, 940.95015291974073, 943.21576880204884, 943.86715751912357, 944.10822133970896, 945.66753866332488, 946.016633359244, 946.30519988563765, 946.34004485026389, 946.83486446029656, 946.86883821986305, 949.18040463613261, 949.4755554976432, 949.96053281189722, 950.01333485547411, 951.05965821455243, 952.16534354538817, 952.92555469341119, 953.91115186347815, 954.44792971162144, 956.32733003214275, 956.35638946870495, 957.55308325777935, 958.04428048918408, 959.25045488804051, 959.42759613358407, 959.50353595293086, 959.97844097507982, 960.01342031362208, 960.62293937709649, 960.68641885259422, 961.01618145395901, 961.14132267188643, 961.32351669992374, 961.706948356623, 961.74001335556534, 963.29319326091013, 963.49942666309744, 963.76750531693176, 964.06935450738467, 965.23668530034035, 966.09186183797704, 966.80437982129831, 966.98121278719191, 969.02269251985501, 969.50843272949828, 969.94438276861274, 970.24054136602001, 970.49347050790732, 971.40858626315378, 971.79156520468553, 972.21834845655508, 972.34802695352278, 972.59253590004482, 974.19189566185889, 974.23970382307414, 976.19660372364513, 978.68555258980007, 979.36591624223831, 979.49472525320152, 980.00464627291956, 980.55927033558032, 984.6848525843925, 987.51223001643677, 988.51113041094447, 989.96672753294342, 991.90344731715936, 992.75359940075168,