diff --git "a/data/ed_from_association.csv" "b/data/ed_from_association.csv"
new file mode 100644--- /dev/null
+++ "b/data/ed_from_association.csv"
@@ -0,0 +1,246 @@
+,106,76,181,309,10,185,13,217,21,153,117,249,182,6,34,37,155,219,58,163,107,62,188,79,8,407,252,104,146,175,187,264,75,35,110,205,116,298,30,242,294,112,101,27,247,253,254,210,127,124,302,128,256,12,144,40,193,250,111,291,36,69,196,145,131,129,184,207,245,108,121,84,142,103,44,240,222,301,143,26,224,255,164,85,97,96,120,80,173,151,171,32,244,261,262,100,198,135,64,141,87,81,31,174,113,3,18,7,23,2,4,14,5,93,411,165,42,83,218,209,195,169,66,287,102,95,9,212,94,105,285,82,57,90,154,49,125,286,77,277,158,230,315,220,65,56,24,33,290,258,20,1,293,118,140,303,208,221,280,284,408,176,91,70,156,227,191,48,269,282,86,215,272,257,61,308,67,39,43,307,311,138,54,279,73,166,134,119,297,199,239,147,59,203,231,28,314,47,388,88,22,197,46,380,228,25,99,226,52,381,180,392,384,281,413,204,232,383,202,177,316,385,139,235,157,386,379,29,395,229,265,394,317,283,390,55,382,190,393,132,310,409,422,423,389
+106,0.0,0.2850506385981772,0.3287630302189351,0.3169612394825027,0.370266031385441,0.2821918976323225,0.3929492978266284,0.3070956955617355,0.30222474898262364,0.33745968647878344,0.3405830598652246,0.28527342885158374,0.3742398977952513,0.32828847875807804,0.3215431483813547,0.39018914495858587,0.3118590683968125,0.3322806733268222,0.33599821328395457,0.32186197856031346,0.34731483562418625,0.3553125595771674,0.3377577151780887,0.3112185344250425,0.3435117804348471,0.4236572128578452,0.3553629047774505,0.3578513873042699,0.28462179129282444,0.2864367456357684,0.28502411493962193,0.3505941249798068,0.2944480937987546,0.32287892069770235,0.30305598504371634,0.2796063684287451,0.2855247515656521,0.3235339448599145,0.3709061871373847,0.27988837859865057,0.33128279848798503,0.34532785215895234,0.29762830737637674,0.37572724769666416,0.3255464311164119,0.2838520431382156,0.272103804233021,0.296220205371059,0.28504755948235466,0.3275936163658547,0.3425886703108511,0.4109017943074677,0.37956500085753575,0.3654724799976717,0.2828722298837874,0.1328123690964699,0.2636318822221183,0.29040977814834595,0.32477825549526945,0.30110052244805136,0.28188443743980257,0.31760292578290816,0.3367650341289917,0.3148719102282716,0.28347955609585224,0.29130299374465907,0.377011327676318,0.30247090929141124,0.3001302878121909,0.3438761480680684,0.3077209323032815,0.3021536976552144,0.28699577855168684,0.1997137353069066,0.3457947803795797,0.291477369065764,0.28718432446717884,0.3120943095656814,0.29041700546664784,0.3143129081685672,0.3332050584926273,0.33856532425492264,0.30780975218609763,0.3166015947702997,0.31865494826732677,0.3187802114273044,0.2837554380141834,0.27438624870375405,0.3954194833568533,0.2825484965266369,0.28437986976337554,0.3526315037486314,0.33783482078507787,0.31021381931869974,0.31511433108805026,0.2922360114153488,0.2969509340098602,0.29855008332902705,0.2932463358158923,0.28449533486603523,0.28801668829234767,0.2100812521744951,0.3200290873505105,0.28020322855673885,0.27730748528779814,0.2985414939258067,0.3002931632573602,0.29282326827037075,0.3012351809257911,0.298201638529876,0.2745898987287641,0.3031178369590891,0.293652720709255,0.2866210490726323,0.2940460158227937,0.34971865314302364,0.3090521081319504,0.2966740912368686,0.31092423439805905,0.29119124116919726,0.30471420331773175,0.1521011533242499,0.12929626824010118,0.12036598095053941,0.1592755166656914,0.13894905328712875,0.2952121192642621,0.3084939172893956,0.2942215764022433,0.291065604715496,0.3016553868165681,0.28660710944161477,0.3542314037133304,0.301822056632197,0.30909328502513295,0.22495089600930002,0.12811163263281927,0.2212287000985472,0.2860667578548338,0.3021787452249369,0.29500425900718846,0.28392845934805694,0.17424141088845202,0.28676764995529275,0.2838583900151591,0.30252617992935593,0.2866706494589394,0.2828494853776194,0.284409004667979,0.28537709074006307,0.27985114317922505,0.2925302517910179,0.3038470411165486,0.36189596555001474,0.3006029667230551,0.34212853718446556,0.3119400530541972,0.32075963982878875,0.27468984836430926,0.3141681441388874,0.28917172743942066,0.28457775587068523,0.2867378151315557,0.28447104448019883,0.32345922778889546,0.32308032714956664,0.33887900288475203,0.3059105427903989,0.2899457909182163,0.28186764699576733,0.2567143706729614,0.28678480018644537,0.289394786305444,0.3029550766292183,0.29445085083488093,0.2734019601875637,0.29040136690969803,0.29351949891664886,0.3171238478497452,0.2848504903957022,0.3089544345083222,0.29067260361364267,0.28944220569169643,0.3057936148092586,0.3027426529514161,0.28058216563302185,0.33988433313356986,0.2762295763374617,0.3374784189713518,0.3050189091866936,0.3273153942281607,0.2899707413974568,0.303170090469295,0.3098023786880111,0.28641037245856454,0.2663624989970491,0.2852022043807847,0.2830918244526164,0.28499622655130574,0.2896090360970459,0.28722231207040433,0.2777826606456232,0.28661802434402256,0.2860689511857284,0.2890613345643226,0.2954851139110374,0.2858496448633796,0.2983116908667838,0.2849823617850541,0.2845360568307582,0.2869448972583398,0.27393127076018886,0.2849785142588019,0.2982555167588195,0.2850318983798936,0.2842090064804791,0.31287995489868964,0.2928942215250181,0.2852528970407575,0.28904241938423475,0.28254317136472934,0.2858894171521718,0.2835293415727255,0.28431102991795887,0.28584473308080727,0.28265634129356243,0.2888982712186769,0.2842766825856478,0.28612358868743254,0.2782986888464697,0.2854470433209865,0.2868637559135471,0.28735829961653475,0.2839709018161308,0.2835294341055089,0.2861968984981708,0.2846783512398686,0.29227337941661624,0.2830657401743175,0.28457111379062217,0.32535444547550685,0.29717118793060027,0.2832486060955701,0.28391728544046163,0.283844158904305
+76,0.2850506385981772,2.634178031930877e-09,0.3015965913942326,0.13680901043471366,0.24195296783744086,0.11706393023851318,0.27381416925655094,0.16381287768261477,0.12839870455875402,0.19678514314331821,0.1732905815402413,0.10259638763318163,0.2630405864269904,0.195899532328191,0.1709570568756403,0.28071126978778876,0.1565134916867076,0.18090542097100443,0.20133889355314283,0.17918005463137665,0.21609246643990088,0.222992515771772,0.181086325810679,0.16852933845756948,0.26857083630699646,0.2822937895593995,0.2261530953143371,0.219203170273449,0.09864459456820487,0.10844590481736492,0.12041503032108153,0.21872788892173073,0.1334484194260441,0.16891752294238002,0.1614855203869234,0.10525217791451645,0.11513354121447317,0.16379993290068004,0.23198160925320516,0.10912858070130882,0.1951251152713038,0.21459200848604743,0.1275234815542715,0.24134565077545225,0.21842824205079597,0.11205017252078123,0.12169256478433885,0.12784601838017634,0.11545026018643849,0.16356762209639858,0.20483516264820123,0.2972868569145885,0.24839633469677552,0.23712004031547812,0.11706079510067738,0.26500993858216515,0.13951577880874164,0.12479210704676519,0.16449709946913652,0.1469913698287422,0.14064270498748715,0.1659599729261273,0.21054502568653657,0.17103118956831911,0.10883681954711932,0.1295856280314808,0.24363660540085535,0.11581377621557214,0.12601848266978846,0.20310227945710851,0.1533455284446282,0.1356882141176705,0.11829820597072999,0.1818221105615727,0.2087639136306409,0.15864272636490226,0.12116637278048233,0.14407357444662627,0.10752196700810708,0.17748247090146166,0.2122656915621864,0.1963645897562668,0.1551737146438045,0.17182685959749713,0.17118214522952455,0.17643621546434607,0.11754565004114574,0.11325649604555392,0.28772035607796376,0.11587722035158075,0.11211837072310211,0.22471891312603642,0.1761986232271928,0.16091384683957727,0.17266879728360573,0.13591682847020436,0.12570019076228126,0.13868214114960517,0.1403192239872925,0.17355844739091453,0.11951889137882296,0.16377379799960198,0.1814924759006471,0.11055501656063868,0.13265605888518084,0.13747153117769276,0.14233989418350454,0.13841496449435123,0.15797337921906277,0.14712641575989263,0.17260788681542075,0.1449895056918549,0.1327317443534474,0.1071203970154735,0.11076122921024707,0.218600007907128,0.15819471025918377,0.1323358496311546,0.1548354857356341,0.12753257806704735,0.1609587053300406,0.2155696446822536,0.2450065978806164,0.24124327420287434,0.19621738290055074,0.2657282487633992,0.12808946095868168,0.1618099678231128,0.1291046311154968,0.13890323912489985,0.15138498613609366,0.11856596549638725,0.231725120663262,0.15035897260423367,0.15728569564721284,0.15584768354675163,0.27715417338130155,0.16951581384354303,0.11603581355877085,0.15178761699983298,0.13156156935973062,0.11342998467935539,0.20978183507053194,0.11555029982518139,0.11419150703562538,0.15863630200017648,0.11869020147251164,0.11107726648322283,0.11283328089616859,0.11159493294730578,0.13334492611374474,0.12554608920822216,0.150679333349649,0.25514021811769744,0.14329246403090307,0.21161662290434025,0.15844487978305552,0.1790141036168714,0.09093171121461494,0.1797705451592041,0.1257359543908988,0.11085805173606915,0.11034605898760637,0.11613272843264626,0.18190754207650303,0.18174700943082128,0.2105434715574608,0.1602202182886732,0.12899369871819713,0.1116831023483942,0.13875581081415478,0.1065024938116086,0.1273621822585686,0.15024783420324148,0.13103560425181077,0.1148251690542847,0.12209490747005959,0.1345638909166835,0.16866181311155035,0.11057991401031347,0.15995947851349415,0.12588708065282508,0.11552631078730177,0.1564551389962824,0.14805777523124042,0.0980431989253053,0.20557743233592682,0.12118146041839173,0.20592750722618197,0.16236254926012103,0.17473156054178968,0.1278967969644739,0.14112258438392025,0.1625667901842147,0.11779753268225801,0.14064363379217878,0.1142861375258748,0.11115187448578061,0.11223896236704511,0.13337039571283243,0.12306953761852298,0.11048501447076137,0.11413787542531736,0.11589070307814044,0.1306459195688453,0.13598923380354166,0.11396722882230663,0.14816247384317704,0.12920557569015864,0.11139123352336884,0.1311353918667049,0.1298870615097792,0.1202012511799292,0.1348632395098475,0.12223310729227166,0.1121991670390129,0.1746990256364656,0.13221239199774315,0.11318438170957634,0.12673766223173366,0.11102046041070233,0.11426280931514475,0.108275714060524,0.11238052835541815,0.11342722046593344,0.1107595164674336,0.11990992073263029,0.11411162787765758,0.115860176155215,0.13702688097302088,0.1140348982147158,0.11339162398221339,0.11933540152405771,0.11258456264111946,0.11163074436507618,0.11364969257977006,0.11180725264425365,0.13101652062557378,0.1118375916835042,0.11149522765505791,0.18451632124932926,0.138980158032198,0.11174407366297084,0.11337229034046366,0.11193501249864264
+181,0.3287630302189351,0.3015965913942326,0.0,0.30582512625365715,0.25532128866319964,0.33316746056671004,0.3406642686030339,0.30132913257884186,0.32642178743753253,0.30159447014298446,0.3070779623946494,0.3609196840300627,0.38923534349731626,0.364529655785139,0.34849855883801434,0.4129103464712024,0.3368816596789443,0.33245860890142914,0.3850289220717841,0.3455326826711148,0.31900527646256,0.35636876855352856,0.33336207827052117,0.3205721401150085,0.2822869556989168,0.281889235376361,0.33798835271152106,0.30816328741375154,0.34036852631990755,0.3458754137634391,0.3658695046221679,0.3667248363632684,0.3700793305387342,0.30288123050021637,0.3844419790414118,0.36264435285562,0.37413565679321437,0.32643543117111784,0.32522343626476374,0.33560694371586364,0.3803875360030166,0.35464424395323013,0.3403224054652488,0.38630730972643,0.3065370214564376,0.3710778289011045,0.37083033788970415,0.3769129506073065,0.3727408493241558,0.33557122599460915,0.36669847025224533,0.4277480451741176,0.3975073289701336,0.3975763212198886,0.37187281011270157,0.33782824057124494,0.3446908461405256,0.37685294036185607,0.2873417649155925,0.3584303240686012,0.3506194895005066,0.3746615231950359,0.37859650050815236,0.37066687875567306,0.3584061186983051,0.3547963628902797,0.33512421754797656,0.31100057221675625,0.33996065153237126,0.32592213218194294,0.32859433884376643,0.333654786923951,0.37570903725093674,0.3546885755595784,0.32722348710510674,0.35203103931943247,0.37595977925480595,0.3168590995901827,0.34615537978504335,0.3838865703004914,0.3389417347818548,0.3879114719944231,0.3777881228265768,0.37979492439994206,0.3834461696396794,0.38528882812806264,0.369139192744443,0.3606518172319305,0.4115024742997101,0.371773614887745,0.35764470603490883,0.3985053167618735,0.3397657255767508,0.36337041641772494,0.37236675499812605,0.34804896503082833,0.3438138245276974,0.3621038447571848,0.34466693641474383,0.34564155772639266,0.3670666641605643,0.31346231596005775,0.3709988555896286,0.35961739446150115,0.35910284445167,0.3669950895462112,0.38041150144193364,0.37693385023491527,0.38313581315384004,0.36963585907274216,0.3489658765582186,0.36666073088861556,0.3721288398119352,0.33448284647941634,0.32962371839734556,0.399425518674827,0.3764416619610502,0.3636496413291295,0.33185599422399853,0.35668998572739286,0.3352284807686579,0.3249943824334215,0.3244220016206437,0.3353566206349131,0.3089929373263171,0.34003407190485163,0.36105525045695486,0.3803593800817393,0.37314480670632566,0.36181597963068945,0.37975087337051494,0.37020475681264176,0.40836945066746855,0.3699054467346424,0.37679239809094334,0.35562749539553634,0.3290491996606041,0.3150303933974681,0.3725123963345069,0.3767258577557253,0.3572260519570835,0.3733846608298741,0.336796134027189,0.37201825256469484,0.3681192359667691,0.3830982745729815,0.37316546064620926,0.37188204124783536,0.37119731307366594,0.369250034983712,0.35547854824658853,0.3675591935388549,0.3694154115208829,0.3706492944470335,0.3580650450222348,0.3758185723945859,0.3850361210770166,0.36241574327615933,0.34458317078250095,0.389101102443607,0.36786012951291464,0.3701654754241019,0.3627654829929061,0.36812450884908166,0.3868339750863753,0.3881200771937497,0.3988145395696749,0.37238396457983813,0.36676487820721465,0.37302748728591434,0.3692491396142445,0.3558805512320052,0.36090422512121784,0.3752696696815944,0.36193090475354694,0.37150465783017883,0.35633429390662086,0.3604269367254844,0.3349069256958492,0.36883694826312324,0.374914215135481,0.37144132643484973,0.37264863178733554,0.3810900627169927,0.33156145594210185,0.3508140730710832,0.3239811143298658,0.3655958995835211,0.3568481014608782,0.3717002945596896,0.33214195074388203,0.3723841553574016,0.37110447661830115,0.37828568346834973,0.3745464984240442,0.3632295601517191,0.37460411621552003,0.36900649444497363,0.37302437426374013,0.34584190715494517,0.36964833765484006,0.36867612031575503,0.36751504003312924,0.36654367882745464,0.36956449741806063,0.35902183281394795,0.3726250777827865,0.3721409191934715,0.3489443306183081,0.3735185113547824,0.37059694106268287,0.37425919003781594,0.3730040082516291,0.37082319045643597,0.37272427659568075,0.3612295361584744,0.3687763553542962,0.3800056461715195,0.3737456306192978,0.3740798782259508,0.37076026439882986,0.37439165158831805,0.368662838109373,0.37325900120224487,0.37319973007426915,0.3731449557644816,0.37217904631131166,0.3743213224848837,0.3711226739906837,0.36725676983028754,0.37392662840001023,0.37488531326638896,0.3721519476267774,0.3687598117941741,0.3716500993429448,0.37160037507787186,0.3734021081034399,0.3793852891830868,0.37309782254337603,0.3731904425787488,0.3791992767092286,0.37967244392168514,0.37153050294836487,0.3722695094427545,0.3732994111785873
+309,0.3169612394825027,0.13680901043471366,0.30582512625365715,5.268356063861754e-09,0.24392967989885378,0.15459837797663467,0.27132118879034123,0.17067268107024836,0.17398927910094145,0.22692860505727738,0.2202776101814439,0.17363520959794393,0.23533759576099691,0.21946472656588692,0.19522667163134613,0.2552872040759053,0.18215228743501483,0.20292079209680505,0.1970507898431485,0.19229836750042495,0.23738167741536928,0.23395654007452835,0.21855241452376384,0.1589125352765736,0.2568563960328617,0.3045824568563025,0.2154901026783658,0.2060714042404245,0.15673248695690628,0.17769254763957823,0.18439157405122783,0.22779993766944817,0.17234605219982102,0.2117621022554648,0.21191046958390522,0.17334327719202133,0.18242318799565324,0.16811489224041107,0.2545611733970924,0.15373760090093327,0.18355623213919517,0.21880186691584697,0.16767690699015728,0.2691571995522398,0.2144402149754148,0.17865225176905009,0.1880882088669263,0.1768301079551514,0.17821502243298917,0.1758929854898974,0.2147788784626937,0.31399684324771526,0.27494296027672926,0.26604602108952585,0.18292009359490696,0.2948065890627795,0.187175177500523,0.19083878447019317,0.15982404164698155,0.19107853186640394,0.18632146003056022,0.20820702513157907,0.22472506208380577,0.19141927330666259,0.15974873762104988,0.16199108137426135,0.21596815824952798,0.13471049144507824,0.15221165906175058,0.2019407618110263,0.19498056977272124,0.1404192154096608,0.18437509171794986,0.2301699961444586,0.21599499925315213,0.19100177598463763,0.18837202641979786,0.1726615096748245,0.14667046062004632,0.2073842356509258,0.18926417313933144,0.23423546418208993,0.196535822427208,0.20961213811844287,0.21529702166334724,0.21695591988680557,0.18243213771818406,0.17735790586967762,0.2991061529382488,0.18352959855050843,0.16613684233168619,0.21568628691320577,0.21091546635060557,0.19881494892088586,0.17880504198007713,0.15099854016189798,0.17921930974937447,0.1826781357203858,0.17376892182479098,0.1984717343706766,0.17704151728248313,0.19853854665291784,0.2143655936616831,0.17025093968543722,0.18539273948195856,0.18452628210392866,0.17594562599010116,0.19136700390857075,0.20761954533037547,0.19023967015714227,0.19181649821923374,0.1773292395430507,0.18620017410016332,0.16881133650999328,0.17642632386805873,0.2521628520887181,0.20405808844920162,0.18246486868578463,0.15469671561178353,0.18195052581224513,0.19096193611562795,0.26049251353298697,0.2829464620717612,0.28197116105311126,0.23354998914692002,0.2984971224631469,0.17597157272466668,0.18981184381366686,0.1876994007759002,0.1894612115531404,0.19810622205454886,0.17166088915534206,0.22278493239040392,0.1753485161814678,0.20293314544669033,0.2068871148651473,0.31228001210623263,0.21369997162948837,0.179983647013983,0.19858439868859068,0.18749131506971983,0.1837788746898729,0.2522945872635657,0.17873594806522103,0.17002094730370532,0.18580786987452816,0.1783570851530737,0.1809642354505737,0.18220378417205915,0.17480936533352273,0.17900420826297447,0.18618076699040065,0.19443509673306103,0.2222450007539909,0.1748131543684437,0.22089991935489306,0.1919226458940022,0.2032883633952439,0.16059531970822052,0.19712442068782168,0.18020427570037428,0.17750944316327302,0.16242924860270339,0.1680328131786658,0.22554923777983168,0.22713960969528094,0.2485631753175233,0.2067666443053013,0.18800709226526885,0.18144037796740928,0.20005760297092828,0.16806945915311214,0.17203883149692203,0.18379993590531285,0.18013946991433324,0.18475300090506905,0.17495562832558406,0.1902326601905641,0.20596165598823096,0.1770499739360191,0.2023847367077406,0.18603068482862198,0.18016745498732775,0.20476125191330088,0.1898274646641025,0.16284139405426512,0.22057108196144654,0.18308021496357763,0.22508759891280725,0.201128904582238,0.22425328187087934,0.18764436995266642,0.18767918574346643,0.20286643337345278,0.18649915587152396,0.20135346005700946,0.17445501729719207,0.1764709961212505,0.18078249972461177,0.17971915648539746,0.17678703352065456,0.1792951447384893,0.17515823221882101,0.1782425820735083,0.17913864517828215,0.17103308084346858,0.18178582881881805,0.188372187269115,0.1660199313480773,0.18271367420946097,0.1876125307142652,0.1952505896331446,0.18472848105466727,0.19431070246264306,0.18595334503871916,0.17057666480547082,0.2075260873391738,0.18868675689006356,0.18411864503773434,0.1890099697838764,0.18214407441425928,0.18235983231165742,0.17653350842485369,0.1815463290193537,0.1839015719605524,0.18247280440078764,0.18379375852511445,0.1842372247393916,0.18348645369201247,0.196589301766967,0.1805670883940941,0.18279641655211282,0.1858627138580923,0.1780414275964555,0.18295015026666447,0.18328155589010586,0.1828533514447385,0.18895087609361594,0.18308612788269268,0.18236092686405214,0.2170550062136041,0.18991629966547557,0.18000644737407806,0.18312759197690237,0.18335952515668338
+10,0.370266031385441,0.24195296783744086,0.25532128866319964,0.24392967989885378,1.747316032582309e-08,0.2634714591750094,0.2820547065945385,0.2554600117950361,0.21604928486381705,0.27185149090387417,0.25728116139584306,0.29586195769195506,0.31213545477281474,0.27380730180806656,0.2807182379153998,0.3314506898825231,0.2908173644880298,0.2675655911531324,0.3126787816698461,0.26414549190778036,0.25416108378743885,0.2836841096199895,0.28878234748461984,0.2594089795992151,0.21554532883008834,0.24060760791818878,0.2565129881191344,0.23889141953381973,0.29132095427300725,0.29585066461982557,0.30637187607166905,0.29993343433342073,0.30470272881719196,0.2693188530919606,0.3321752776340515,0.30222838745952096,0.31038446724655794,0.2749591566910457,0.2763108133213815,0.2819948312407008,0.30609743160128594,0.28760885772667116,0.285884265797446,0.3129303190221922,0.2663236613938072,0.3093214409283495,0.3144546995655127,0.3156290312552026,0.31379283947280984,0.2707833412932692,0.3013086232067953,0.3558343066551623,0.32475465464075565,0.3252546846746001,0.3094353914974569,0.3588048499522744,0.29437897823320697,0.31977859108169343,0.2538480919557269,0.3000900057566061,0.2952766875896291,0.29859705773521106,0.30243610696470913,0.2942720671196315,0.2959030854982541,0.2849563373838419,0.2942596613560816,0.2625142505993563,0.29394441818161343,0.2682044120267486,0.28611989185712133,0.28827862146140043,0.3150360848975594,0.3250973940911313,0.2578869984329913,0.2923199412121578,0.31845111536676374,0.25028277851748815,0.2819462480876302,0.320247436615713,0.2554308095533465,0.3171754330258164,0.3154014264181469,0.31263409247285734,0.31302369652982126,0.32042349662332725,0.3130395378226691,0.2957271332871867,0.339764122215987,0.3140783113194988,0.28596844072908223,0.325522594153795,0.2786142255449277,0.2851832040163694,0.2868940335067945,0.2824116965652335,0.29157805767536554,0.28980207912868566,0.2838520316755064,0.29588432377499857,0.3019897350332931,0.28591394102036694,0.29616947908586977,0.2927229460666045,0.299174625241453,0.2885145059994761,0.31940974449912274,0.3024505927049745,0.32113662304359974,0.2856193727376849,0.2802224866176921,0.286928898128842,0.2971142921841513,0.2834358243033901,0.28660143637085744,0.33004454797852434,0.3092983231520287,0.2988130908371513,0.26341432475443766,0.2871665733940683,0.28644222125969254,0.33714705750342727,0.35005305673956405,0.353010192256393,0.31662592680825247,0.3636398355400238,0.2886112269383995,0.3180704508651699,0.3110391907417388,0.30511412858813963,0.3190585097883642,0.3062944645046962,0.33531789650015636,0.2996911108177047,0.29497296733265416,0.3211648551892591,0.36701516207285406,0.3015964909586141,0.3139199879136845,0.31332533832244136,0.28649756776619845,0.31416191258661297,0.32997812071367216,0.3112917705174722,0.30497820169947737,0.3196503864598976,0.3159088096345051,0.30867425182956254,0.311076577885486,0.29897584724515314,0.28824613823522166,0.29972622970259777,0.3088068117825556,0.2853182125184677,0.27906767099191215,0.2974917014430435,0.32108742582905486,0.26579071907545776,0.29020951886501006,0.32516023281575973,0.29986814360081665,0.30920038847799414,0.3050435583256684,0.3078117164993861,0.3318668824020216,0.33148611811959544,0.34436796623447363,0.3216671748588813,0.31057227604273024,0.31314845052515866,0.3161938418171651,0.2953062567503131,0.29490636673999177,0.30004083768515577,0.30057247942941223,0.3146981506144937,0.29462929516401076,0.29695962434821205,0.2969054369336882,0.30764843402273223,0.3090039594184952,0.3095760057567461,0.31016468168165745,0.31688165808038343,0.27880905170337456,0.28735371046846786,0.2715372943036,0.3088903562415138,0.292890501423663,0.29079158303314373,0.29673343795740514,0.3082279401125867,0.30604601569107304,0.31199620804298206,0.3147856437495629,0.3158539374150374,0.3155757587393743,0.30680590827009796,0.31459326378559105,0.2884960952735138,0.3152327731134414,0.309385158786385,0.3017948449208156,0.2948649329937505,0.30460698647799345,0.2912918432482166,0.3096567495710104,0.30657604505122565,0.2880831788836578,0.31471816405721825,0.30485560698013975,0.318666191547489,0.30943307789893953,0.311370156632212,0.3167771098004271,0.29497961767080205,0.2882056830141594,0.3204129096263738,0.31533491630063176,0.31823210087048803,0.3125934969117217,0.31391190694261073,0.3087282738196705,0.31440448234852575,0.31347271291724954,0.3135136576908282,0.3111281727792071,0.3159086835011909,0.3141015843546553,0.3153502895742132,0.3135039265574867,0.3159136148347396,0.313188576190272,0.3050374313655389,0.3135051505555336,0.3125870874262405,0.3151659417194522,0.32012447025889484,0.3148154475774809,0.3145319977903708,0.3030140574993478,0.31950169919781096,0.31295949920440225,0.3142622084147281,0.3138817776801009
+185,0.2821918976323225,0.11706393023851318,0.33316746056671004,0.15459837797663467,0.2634714591750094,3.226196034939731e-09,0.2669871710720275,0.17161664965738954,0.13636455342380902,0.209381403533239,0.20657254319853888,0.111973567221202,0.26002690016738145,0.19464053663057287,0.17755238965665704,0.2823534306316208,0.15623349161306607,0.19001556507722783,0.20353833497920595,0.17546215904977067,0.21717058151738086,0.22081865015030783,0.19724934096226932,0.16774687345747372,0.2730414254088614,0.3180667659850228,0.20794942148408427,0.21963046349949245,0.11147818221826525,0.1183599179189396,0.12215164427938346,0.20587001290512078,0.12346371311146657,0.18638991471200403,0.16113452663067274,0.1055529702046385,0.11133708753293614,0.15194554861088025,0.2414638279934348,0.11255877046247302,0.18229472714285394,0.19398792423009065,0.12599739843683333,0.2582643927211072,0.1968870043332486,0.11475466432899746,0.12195908456893902,0.13808539550687088,0.11715592860590632,0.18110029392262458,0.21378808342829497,0.3045611464829405,0.262172768236628,0.24970764952672064,0.11716716339960215,0.2533271773952414,0.133487027088363,0.1249602851781558,0.1757666515154692,0.13922661491062766,0.13317768082896944,0.16595141734203045,0.19027381956898995,0.1619921402381213,0.10441982937239995,0.12146258577077654,0.22647159525424151,0.14103180702311657,0.13847938192862064,0.18754941466121958,0.1536067219439606,0.14222532447707675,0.11438820492234628,0.17942386647928577,0.20651085440000008,0.15076420309361382,0.12378335450705381,0.14305459402315898,0.11847403641100326,0.1794124363720825,0.19386500199861403,0.20731095257902066,0.1550446872634253,0.17095968527948013,0.17449317631893868,0.17864385391732684,0.11791075326509329,0.11252190171175562,0.2746260110528416,0.11775486555224206,0.10901365092501966,0.2256208866978123,0.19794310837628426,0.16223787825091382,0.1690027757288192,0.1263160432806469,0.1317139180990481,0.12111142210767845,0.11807328151876796,0.16288239673915986,0.1153048197808235,0.13785410258785383,0.16217436297293222,0.08582793940267569,0.12744924419296766,0.13247813066631828,0.15074490899419826,0.1347700110559673,0.15982227847561106,0.13763096497550492,0.16051720249982518,0.11438587139121599,0.13148428378610882,0.1214006136496683,0.130203529558686,0.22401840428775657,0.1601894867785802,0.13049388000107537,0.13704301781466924,0.11744554855115334,0.16121213973138973,0.21390290018270838,0.24205611680902434,0.23796396021290425,0.19292065481687654,0.25408746884477884,0.13659935633119816,0.16523375982619568,0.13298387603976025,0.13927707392592625,0.15542324514993555,0.11059034140181259,0.22317222424422442,0.1464468146750763,0.141540259851794,0.14329273658997144,0.27290018734459237,0.15840895896875032,0.12051928060209463,0.14140253184856597,0.1333652177539847,0.11702122251147774,0.2059487314426769,0.118852017433335,0.11254494521712537,0.15590595761283216,0.12045734869777884,0.11473609243993113,0.11395919285766477,0.11554588750521007,0.12592258818257862,0.12569539188385545,0.13572787365092837,0.24064920212824106,0.12829014297865507,0.17183443811829854,0.1665910999723391,0.1617893220862234,0.0970934488797662,0.17550636213101847,0.10785265243757129,0.11104305323327117,0.11256763182911524,0.11276421160423565,0.17961436709694661,0.180090304265941,0.20633880215484793,0.1569983952336851,0.1283821992427283,0.11479102937048719,0.13604398609284438,0.11397774091475339,0.10312997337375764,0.13242660903864434,0.12826281268396933,0.11781839128585486,0.11771333721890768,0.12815947129104893,0.17228817490082077,0.10900830901349531,0.1526704826733657,0.12633073644484077,0.12184285164504022,0.15425708962708035,0.1474212199798536,0.10159018988117217,0.20553806719802437,0.12120783849802369,0.20691386455487795,0.15528243826490787,0.19026481109556403,0.12673884731252064,0.144250909519383,0.1565658606761858,0.12352546165669066,0.13955590384040997,0.12015855552305998,0.11108966758568628,0.1140164319376609,0.1235166005101556,0.12255637777005599,0.11037754040803895,0.11369642767991782,0.11187025030883711,0.10111532440944958,0.08709979054367432,0.11407437153604229,0.14051865216892606,0.1210153579041668,0.11475886105602548,0.12850085051046709,0.1302556108312654,0.12080660563329501,0.13621577288857456,0.12278999788720583,0.10621976442996561,0.15147386032432889,0.11816204684140762,0.11660148661022535,0.12929158338088606,0.11350734025446536,0.11211731209534012,0.10725106174133331,0.11387010852167025,0.11826277808298058,0.1145329676456004,0.12028579332042519,0.11707952817750569,0.11796989879349205,0.13693317003603475,0.11061932769302302,0.12097944951605417,0.12158949609930789,0.11122721666851097,0.11507682440988981,0.11747822880451993,0.11488253097119425,0.11945567025607748,0.11488774774520412,0.11480897410914713,0.17633584705369829,0.13666669540460785,0.11182226468645362,0.11672437294638176,0.11537770249638081
+13,0.3929492978266284,0.27381416925655094,0.3406642686030339,0.27132118879034123,0.2820547065945385,0.2669871710720275,0.0,0.28050526084750166,0.27801217244017373,0.21329906118702943,0.2800802695858268,0.2931079969951885,0.31786802616594345,0.301252240848939,0.29711461350974694,0.341389690840468,0.30012886334910793,0.28396959308347014,0.31319601797398217,0.26926610440954185,0.25691353979638215,0.29591242789126754,0.2692131965602028,0.251632404228607,0.3047878392405101,0.25381660703771947,0.2312682930544601,0.25906304903551086,0.28713186024435294,0.27150687800324336,0.2834830543782386,0.2876629447786895,0.2772041979164122,0.20859149421721648,0.3222092624088879,0.29152669616684856,0.30421346165441754,0.2966659019650325,0.2775524845404015,0.27477198441427014,0.27553568264594364,0.2869798444610307,0.28142212293120117,0.3627671358574518,0.2607733977910532,0.29680237335545967,0.3076347013717404,0.3054811351191638,0.3034978906077551,0.28823125932378274,0.3253386190519682,0.39543584763175155,0.36327634858446584,0.36260041534703946,0.3016774777416237,0.3630918725000059,0.28655862239307806,0.3013173834706287,0.26855090182202285,0.23575822549821254,0.2901427803710041,0.3064446946324644,0.29293578562737166,0.26170631836097363,0.28016686875461744,0.2592959117863297,0.31178478175797353,0.2902546948603193,0.3006648622612389,0.31000303166866333,0.22160993031350354,0.29439177839294856,0.2998065797586137,0.3339403372767813,0.1647048176826881,0.27721319382899645,0.30669804803420314,0.2821722207176869,0.28864130022035733,0.309686968422464,0.23198861246157942,0.3413810175862628,0.31069003494370107,0.3123711229708238,0.31998373381051115,0.3200708077943162,0.30232445992487433,0.29600212516574853,0.3350610635830375,0.30378724962243137,0.2798787453826188,0.31356877176870473,0.2911953514429646,0.30084957604888635,0.2761625774185701,0.26016051525972866,0.28334566238989783,0.29219738763795844,0.2692020547293437,0.2824834369340536,0.2901032549922486,0.30525163934217764,0.29791898844638,0.2898093385843495,0.2848117271964927,0.29569691074883453,0.31077171177811885,0.30001353858548957,0.31327059410185265,0.28211774395420375,0.2663111414690601,0.2809914869497362,0.29475039834885225,0.289427521883833,0.26058084440211543,0.35128114466177546,0.31468045921260235,0.29784232326855153,0.24436311205326533,0.28593946326564357,0.22829356298459966,0.352604415102467,0.3684542941555792,0.3678106924415363,0.3302598236248819,0.368728018571027,0.29511206204226353,0.3064500796541123,0.29338646802035573,0.29168925987615896,0.30323345003796176,0.2914697028251463,0.32522899094440455,0.27578227791452853,0.30445483231392717,0.3039349690739049,0.389514382397693,0.3042281277585406,0.3002709094577454,0.2837880199787653,0.25713737738165504,0.3008279617436616,0.34256671070907824,0.2984655867828266,0.28247479860307717,0.3081035472539006,0.3014282035586563,0.30052866274242024,0.300220981171652,0.2953447918433136,0.2960974402238832,0.2992537048774584,0.2926479708726056,0.29313892123428337,0.2689825577658123,0.2835773030746563,0.30866623353750583,0.2716232092416198,0.28107885876274646,0.3077818336431318,0.29478088059224183,0.30015624216753867,0.2985459226867834,0.2980642380409075,0.32472649460240255,0.3250709570569909,0.33754629194838437,0.31211089539793085,0.30253130338310436,0.303438463403578,0.31126855181979335,0.2741736299401645,0.2846976557538823,0.2758882946121895,0.2536978874001365,0.3051957794847587,0.2874991202037551,0.2853941542022317,0.21331957803053622,0.2902031304432552,0.2666185022372026,0.2909038624449177,0.29975295786038053,0.2804042540520243,0.23671478724287146,0.28704147055237306,0.1657488228588262,0.2956147757571324,0.2917872904960049,0.28839864142983074,0.226111737985786,0.30400836968875017,0.2916673406888392,0.27170750217571815,0.3042876779640905,0.31431207917700943,0.3046867773443799,0.2936321801846753,0.304070748936018,0.2778319818046271,0.3015809152138882,0.29841246404254385,0.2836649981213299,0.29021011189580376,0.28200899951727854,0.28087635762651375,0.29830133870228426,0.2857792138819473,0.26010617937031477,0.30377246642505706,0.2984176424022985,0.30978173270569725,0.30170762249477034,0.3010857920555996,0.30460712990387473,0.27566862889478283,0.29329435693375283,0.29736031719353523,0.302539200699994,0.3052744485759508,0.3017396717446266,0.301963625405878,0.29751240506409715,0.30075186120377473,0.3038014625366896,0.30324646472222405,0.2878624375677734,0.3034106125017785,0.3032647529858425,0.3072116590021899,0.2998958360030878,0.3051372105745092,0.30237543203924183,0.2936461073803115,0.3013049186971738,0.3028482365470613,0.30417914238975774,0.2948466367942571,0.3042045659395681,0.30347866543144625,0.2790275911695689,0.3031511102852891,0.3008474805726778,0.3019084290090075,0.304160037803198
+217,0.3070956955617355,0.16381287768261477,0.30132913257884186,0.17067268107024836,0.2554600117950361,0.17161664965738954,0.28050526084750166,6.452392069879462e-09,0.1855397096727776,0.22360608586786002,0.2348825889159318,0.18186056511838994,0.2841253801142337,0.2255064048594822,0.20787083687184554,0.3077328559772461,0.18393655777090562,0.2064373380755746,0.24584950632243896,0.21094141667897037,0.23642412548243943,0.24076695881324797,0.2276652546929817,0.14911122415395037,0.28025129277262906,0.31294125239108644,0.23681155864117742,0.23974209240883165,0.1624765207522641,0.18134158752542873,0.1853984249296525,0.24476967454081966,0.19081169439641887,0.20421962943967178,0.17599103775611719,0.17638786571611204,0.18750389020844685,0.17515777469633073,0.2677176907344077,0.16742787462186906,0.22469751163625287,0.2300740366451671,0.17917866798848553,0.29071034867020934,0.20487570730933996,0.1831053735082208,0.19139451964549498,0.19563106290278076,0.19009702148308194,0.21514101435996383,0.25370520275427355,0.33484330794513845,0.29563938620641933,0.2837350005656957,0.18802407872728477,0.288045255013955,0.15084673828643919,0.1929013261237089,0.1680702020474586,0.20201548813711717,0.17266761521261617,0.2196183970581763,0.19782181512176022,0.2043479882869391,0.17387442497923788,0.17687856502657412,0.2369094423171688,0.16729506864530166,0.1735785376829334,0.20642453950177717,0.20680876127088302,0.16944775083677613,0.19098784560760643,0.22791862145322844,0.22133983565105753,0.18002867337215817,0.19280208817219552,0.1752432625229697,0.1731971225392318,0.18497614291372527,0.20957359629034794,0.2516425613727022,0.21260957049305151,0.222200168503962,0.22655077579727925,0.21145621163273326,0.1868362669347954,0.18558652222719593,0.2619631476584365,0.18860329651173594,0.1724157042742458,0.26178699953748674,0.23013972320812484,0.20921216876595275,0.21495130294532938,0.17782520912505256,0.1677839285379074,0.19383483270383764,0.1723682477885357,0.19306233285953375,0.18757180816882366,0.20131781158902573,0.20968652074431376,0.17990589300453866,0.18158937634301284,0.18894476151529097,0.201909237802443,0.195987163366472,0.17295458398848607,0.1945314765082534,0.19861306091576886,0.1928096636965996,0.19018164260351753,0.16537920687207927,0.178217025361042,0.2649141006121512,0.2156141744533179,0.19193108955209143,0.1802373086313368,0.1812990945507809,0.18806826065437482,0.250286667780269,0.27163535335976907,0.27140872643226377,0.23170515117677962,0.29217050645101406,0.18846883275458134,0.2130159847163617,0.19398291469639337,0.19617889195978344,0.16294055791679876,0.1876184274020909,0.2694458251405691,0.19643814873769314,0.20064526386409634,0.21125607040031785,0.2884893190567076,0.18375233020641038,0.18589661319846415,0.1804886454414659,0.1819612557329336,0.18829900828631185,0.2301750771208797,0.1839678016120804,0.1838095796414938,0.21458879875404555,0.1877237347790422,0.1851928592969652,0.1885346881427893,0.18605597947175975,0.1966906865264862,0.18828035256885883,0.19992534544067353,0.2590194808566155,0.18347512032311988,0.23030346776333588,0.21344567851509622,0.20052471630721452,0.17043405265123238,0.22761952766560872,0.18595968530528031,0.18629547441289634,0.17867199645984025,0.1835086681411967,0.22783589627726591,0.2291418810677005,0.24964403561757925,0.20782273878963559,0.19080738705731054,0.18683731191793193,0.1999027013421164,0.17991891773171637,0.18413251719614698,0.20267217345431143,0.19148539170866924,0.18771777505496026,0.1786241977722968,0.184935051459846,0.21152650006841386,0.1834192154606364,0.2074668764025204,0.18759050822119125,0.18929425030358132,0.20890363199644685,0.18919594186806482,0.1701988472418858,0.22536629853804352,0.1848894089100378,0.1878484231938369,0.20458879661368415,0.2128098907058575,0.18596472382549087,0.19951187126278963,0.21158462883814524,0.19215796685968006,0.18480514855575295,0.18674109983963835,0.18366674647549525,0.1878417801995936,0.16040703271804047,0.18787317468861836,0.1840136595905614,0.18060254984834606,0.18033760405973426,0.19273714556718005,0.1868473063830508,0.18750868223194678,0.15508896390574492,0.17417268547298734,0.186956745813002,0.1920836092203091,0.19592071231212807,0.19009560935962466,0.19877441426277306,0.18946219997345168,0.17520432209434658,0.20141341953924857,0.2007413994226185,0.1882120330175037,0.19107901738771396,0.18615962806405173,0.1883540239292417,0.18342800927049738,0.1874838459360333,0.18901928274623692,0.1863827688567446,0.18984106149000926,0.18580527239843353,0.18860798440577242,0.1821084876244621,0.18658057504555167,0.18799206639157479,0.1908616537896324,0.18059754069555203,0.1859242137505825,0.1872768450390043,0.18726890349331213,0.1990494728791651,0.18685932800965338,0.18724547140205836,0.2228779773322521,0.199416580384922,0.18611519290504244,0.18777301712822708,0.1872522497787025
+21,0.30222474898262364,0.12839870455875402,0.32642178743753253,0.17398927910094145,0.21604928486381705,0.13636455342380902,0.27801217244017373,0.1855397096727776,4.562530187486071e-09,0.2131688961757666,0.19868831313836166,0.1396841820024098,0.26487446531986,0.20013012046439344,0.19227709323090011,0.28199427423957374,0.1843318497017709,0.19980968798892046,0.22025365346646564,0.18721894309106912,0.20611882560738454,0.23284779526041519,0.21172434405380167,0.19012761474394294,0.2700237749636539,0.2969849915540452,0.22728900867934526,0.2216619735169258,0.1493224912539182,0.1551932234042246,0.1573163818897187,0.23023832247973927,0.16697879985501088,0.1978254013371624,0.18730673929587502,0.14314880308900632,0.1517653293026794,0.18928765250918084,0.2446203757705298,0.15331686476784534,0.20847068010655453,0.2154919651212613,0.16666840929082208,0.24837335812506747,0.21641920263355224,0.15037742667830684,0.15618600554960463,0.16983610103469932,0.15447894021370095,0.1913438337881011,0.219709203571931,0.301069227511701,0.25596964531644667,0.2449261978597728,0.15248956407890024,0.2832305836982363,0.15941528502051436,0.16387299768667266,0.20279895100215606,0.17429662621999956,0.16827976049578017,0.17383599627351656,0.19364133824814603,0.17987868622576614,0.14751651567067753,0.15790155076810028,0.26275906127396154,0.15582729705203166,0.17098313009626048,0.1980838278713491,0.19219725582149552,0.1790214640007845,0.1575676318822962,0.20419010790173164,0.21288536943315123,0.17934922462324332,0.16075469861677305,0.14264155705660198,0.14622353691766,0.2006752648692842,0.21269305743208303,0.21195316925013194,0.17937260316010326,0.18966489999306957,0.18643133438949921,0.19732900725692523,0.15223432742681417,0.13701712384432377,0.26646489114846394,0.15452150521826313,0.1338420897489073,0.24104802211708576,0.2011379267852989,0.16551773661099475,0.1724955555039008,0.16710487802407753,0.1638883406763632,0.1490335673725561,0.1606337814152481,0.1862827810912478,0.15226506366874007,0.17281685409310232,0.16364368143156643,0.14204852215293234,0.1531468036210047,0.1527049320258399,0.18002489934260055,0.16771147541883902,0.18472205918581389,0.16226481840806614,0.18813213614851726,0.15947773605552484,0.16336881891060392,0.14829830976335884,0.15930582944782715,0.22538574388913754,0.17464036359452365,0.14870427649140486,0.17710452221565806,0.1232476573821598,0.17852304727701598,0.2409219865669421,0.2669390218409781,0.26382400054442734,0.22409844497556727,0.2865192001052713,0.16278553318661232,0.19138227557376,0.16210452171225398,0.1655557124081918,0.17936170723001668,0.15526033966236938,0.2423119629901197,0.1738300160985593,0.15354760392086467,0.18596431579797532,0.29692917891578013,0.19749688021139553,0.1550820907947724,0.17627107913833945,0.14356240969967732,0.15425502305483188,0.23035100744850642,0.15567049353114926,0.1521651770694266,0.1855659823754026,0.15910254771879906,0.14925528178212766,0.14919855934158097,0.13952243315531865,0.1382602779598685,0.1619998906276404,0.17093926376163412,0.2432678749246489,0.13919214878199015,0.1992521743643814,0.19120961711580875,0.14781739323552015,0.14294061865527974,0.20199401107615242,0.14644079768657334,0.14765713243758724,0.15294886365902743,0.1535320614217821,0.20560758041832672,0.205166301577116,0.22862607111065267,0.18194876096371462,0.16359261085830348,0.15393932941176391,0.16879098425883501,0.15250232074540396,0.15052498667771508,0.17171393233524226,0.1639204035544651,0.15520523342267745,0.15413350404247092,0.15065951667113692,0.19732530924434283,0.1476204705454322,0.18291409967123878,0.157754025591832,0.15482778328649088,0.18316128155347394,0.1767191640361666,0.13478324975829592,0.22100266547405897,0.1572510828531144,0.2211193439972741,0.1621094216454687,0.20798298455010192,0.15790516387502862,0.16789312871491388,0.1874725168675754,0.15705111587813353,0.1737094829815555,0.1574182078323499,0.1470837973842093,0.1533334187071418,0.1520005411664857,0.1618697136034724,0.1507350119874091,0.14987252643070828,0.13292687393633276,0.1586241940923767,0.15858448019195653,0.14817235181853236,0.17138021834671774,0.15609490656863217,0.1538771992319053,0.1601287626181749,0.16822097280938259,0.1541557529115496,0.16748758997204014,0.15905768380457572,0.1417537470306321,0.1549340562743246,0.16912190348541803,0.1551899419440581,0.16334191627656394,0.15038928000185975,0.15504370867616254,0.1474610511484318,0.1536326204540024,0.15415502625136152,0.15341278918866622,0.15839900516562758,0.1556276547027313,0.1536396117751991,0.1716178479906452,0.15436688424687114,0.1587134463719927,0.1518006585588799,0.14550950791650077,0.15228997577551387,0.15249034275790113,0.15416079702676824,0.16685217791958287,0.15406453321643013,0.1529472945468197,0.18815745894826202,0.17112482602398799,0.1519412698240649,0.15321739602857828,0.15316023809032145
+153,0.33745968647878344,0.19678514314331821,0.30159447014298446,0.22692860505727738,0.27185149090387417,0.209381403533239,0.21329906118702943,0.22360608586786002,0.2131688961757666,0.0,0.2268661946023621,0.21119391276024724,0.30934312862967184,0.2612398714742871,0.23505717430469528,0.33460008237723726,0.22943705196584518,0.22747771531981575,0.2750006544537962,0.24043196598681424,0.17442194183522908,0.262506159923493,0.21273752755485306,0.2297622881301022,0.3104947205995044,0.22944270623123125,0.250140723119747,0.2591030665223662,0.19314682611100614,0.17892085043446174,0.21206454951491932,0.26904006504201855,0.2210674878339283,0.12713415967033334,0.2407298822431699,0.21097442024177004,0.2228687696187932,0.2249173698286493,0.2455568226872492,0.20811021747931652,0.25781329970019806,0.2536342406316094,0.20612675851119164,0.3216803906386437,0.2292204766887387,0.21585349510114255,0.21991861894579226,0.23252590853453745,0.22155964482256418,0.24357644997540479,0.27814371162533613,0.362225088998612,0.3240101461336957,0.3155473430432531,0.22284077120240697,0.31998987227650666,0.22121544513020813,0.22826793963293013,0.2085151971376033,0.18649368078215936,0.23042575057682554,0.25356980784632077,0.2519967121551978,0.23338636029174162,0.21082352889737063,0.2132073903002801,0.27645438652918025,0.2120111144613254,0.21551716229254697,0.2387261591118175,0.1612363183141016,0.2202388689887446,0.22258438753370885,0.2516064502745776,0.17390006555534246,0.2295251001386774,0.22605103726349454,0.1875863154872471,0.2094435768280457,0.25743835581884517,0.24939335099077403,0.28506619874875716,0.2508556789178919,0.2567409729016194,0.26006909190979827,0.261130664581472,0.22199849177464465,0.22105983784602734,0.29870592934238094,0.22063945024195422,0.2133257959019478,0.29113016023728167,0.2401755531496391,0.24359885218408237,0.2507496967875317,0.21074669091773854,0.1975521639600983,0.22734713801118536,0.2104574084741426,0.23657829443442263,0.21956470572532286,0.23305105271541884,0.22201047521865638,0.21395404199809484,0.21558527622548895,0.22422365014066314,0.24079717665854689,0.23341691940911213,0.24982738961117204,0.22938135607981522,0.23978818866423052,0.22619688794108583,0.22992626967608326,0.20143824967929513,0.15538960455322298,0.29893864435876116,0.2485139038865407,0.22642831107354414,0.21693368445640043,0.20371086500140614,0.18861037886288198,0.28496431308085296,0.3090977062515343,0.3052638792535314,0.26977467797875243,0.321643172726027,0.22579158743578132,0.2511741667185134,0.22324038846301936,0.20919850891429448,0.23927752545022504,0.22116743598671235,0.29953454369449506,0.23084939954219663,0.22284682281349474,0.24240845404488864,0.3312704729590027,0.24635945568993947,0.22188338594750578,0.23990604637976173,0.19247478113558417,0.22250712441334794,0.2773739440032721,0.2207708440668232,0.22005530090209066,0.24622523110483643,0.2240995501055779,0.22151189482327246,0.2205212373129794,0.21991126135532965,0.23004537749461018,0.22177979305588105,0.23134448186375506,0.2899886027863652,0.21164804388267558,0.2476282612480058,0.2495303456851591,0.2205244960790743,0.19979104095759723,0.2607323685878156,0.21963409853887927,0.2209390419413656,0.21680906074128625,0.21967524448805434,0.25415467434340533,0.2542893657051907,0.27251406523651744,0.22891297020284257,0.2164651446165257,0.22201209610691416,0.23427136557586872,0.20392405511859796,0.21562391259893435,0.23676709085781758,0.1962829296806228,0.22203420110854635,0.20501465345382938,0.21619076624985065,0.15497933502150796,0.21487589545551897,0.23579465676089864,0.22043735127408984,0.2242463812204743,0.23869615120763205,0.2007609212113948,0.20466895950376718,0.17949241846616393,0.2171412084921781,0.25610885231998604,0.23600348108044905,0.14091241572332178,0.22389281206194644,0.23070925679046325,0.23993285544281645,0.22604657307043047,0.2327180635224053,0.22430952524707617,0.2147054593129811,0.2214286109685839,0.20864223059292292,0.2270158839702647,0.21884910415114625,0.2154289798229904,0.21449584945409664,0.22071339417861885,0.22092267729404852,0.22261752308092628,0.23172053177943014,0.20710914451908238,0.2212968676903227,0.2277850566977983,0.23003066983594503,0.22520134265171887,0.22581200216353148,0.2186507549828645,0.20781927371738,0.2157054639188245,0.2304416332548184,0.22253948189224085,0.22843569299801592,0.2218375507676988,0.2228537629735797,0.21660226549716483,0.22210073910451456,0.22297041800607426,0.22099105381012196,0.22019904993156938,0.22278215660740747,0.22348089962602885,0.23530317611135648,0.22080225880432144,0.2251425490310491,0.2217950215534798,0.213600963491633,0.22151125967000243,0.22200126832438768,0.22146807245321817,0.23120641275709622,0.22168144282979452,0.22116793731121262,0.24427851197077377,0.23318270954152548,0.2220355381532499,0.22075397425752696,0.21916283734371594
+117,0.3405830598652246,0.1732905815402413,0.3070779623946494,0.2202776101814439,0.25728116139584306,0.20657254319853888,0.2800802695858268,0.2348825889159318,0.19868831313836166,0.2268661946023621,0.0,0.20345115378312326,0.3224227280306869,0.2641983501989381,0.25088988137639356,0.33493480683159443,0.19112155468515776,0.24520833676529974,0.27835672306773673,0.24624100147147204,0.2458709926670749,0.2826915710729855,0.16649049898402452,0.24081415881784152,0.31022916581211146,0.2439214716235604,0.2637961813180588,0.2541497182487921,0.1999815339921523,0.20371168110026946,0.21715320691798107,0.2777468325003982,0.22791354277690823,0.2001624095870199,0.24661570191625903,0.21252762561954736,0.21942862995534046,0.2398586808719415,0.1679126989626825,0.21120360134481325,0.2615529004440607,0.27112816121201944,0.20732770218519633,0.29813093494096976,0.2668267942018894,0.2124165087100707,0.2237702800551974,0.22911052822136233,0.21736359175891284,0.2236394379436689,0.27756422028009226,0.35466223045707096,0.3137185169460141,0.3044447643425223,0.21763304130380803,0.3268558584676532,0.22757410332278746,0.22575370222452992,0.2352841820000207,0.2244376706593964,0.2297392448861816,0.24725305977674192,0.2695238403670747,0.2463627890709414,0.2130423058048746,0.22329255017987645,0.29912628643561834,0.18573090740441894,0.21772847668158185,0.26114464454382535,0.2173635919821796,0.22767556753047566,0.2221993286247592,0.26184336384222995,0.23409742832839325,0.23576209739849144,0.2234413325705382,0.2172600082808098,0.20766764762764697,0.251688610298695,0.26770040530187766,0.2754533724314392,0.24420321699557185,0.25272415368214646,0.2542199633333802,0.25729096341285174,0.2150248682813153,0.2073048676106859,0.28619804582205904,0.21828140980160285,0.19984440705840653,0.29413646457355835,0.14028187111501422,0.24181601070210731,0.24283554948318922,0.22571126103706285,0.2122190191921225,0.22687590311019185,0.20889318419012531,0.24922578564729703,0.2206865780147352,0.2471374927952442,0.22319083153900263,0.21552675935712629,0.22525151529542303,0.22232554360645568,0.2373079569131273,0.2313798387408842,0.24558975288097504,0.22549385023013543,0.25212129271495937,0.23528875792871906,0.226325701979049,0.19851364667286925,0.197050629816366,0.2890084414406763,0.24393326897116527,0.2277307140810868,0.23350457010270068,0.2110033126224506,0.22858367086584827,0.28808506744533524,0.30872537812598944,0.30829170447294224,0.26945861258783294,0.3283543252634669,0.22748609571723288,0.25075067413333846,0.22450138610645065,0.21775541060147022,0.23614214658021787,0.22131593399663946,0.29714758473654224,0.23460546582515981,0.23900004359158625,0.24646029205049363,0.3370068363348337,0.24989853895037215,0.214886260301455,0.22789448084722505,0.20215986056954724,0.2182552648999376,0.2820693571455334,0.2176901193805996,0.2156721752409462,0.24926219235595817,0.22285201104818622,0.21390047437785648,0.20893694025211204,0.20963088017653944,0.2189001068445147,0.2063467641103032,0.19572879321365577,0.3126094028910949,0.21165260793040405,0.2656906062101272,0.24543490457650097,0.23385276728357018,0.19695480502489052,0.2580293315922609,0.21984977191616675,0.20862765071043712,0.2147406687848527,0.21842451207606636,0.20485475587576724,0.20572008447544807,0.21749831447927342,0.20881180813955147,0.1968836644528529,0.21909315983750485,0.23202505872188736,0.20921496226094924,0.21734873852585707,0.2372932245093947,0.21994799997194003,0.22021923382704467,0.2203383017498502,0.21867651738044597,0.22965201099584237,0.21180329216584926,0.23014804030560748,0.2202651621066604,0.21921780179876754,0.23708270480197868,0.20168878498298395,0.20766071451102813,0.24298926771748355,0.22238377941995696,0.27363949751822525,0.23012474341101044,0.22224728748677858,0.22357966432118975,0.19551079861321333,0.23813829911344078,0.21930264335443528,0.23424941725854112,0.21992776029380537,0.21023260086043297,0.21812130096637114,0.2104790098394479,0.22203665818722604,0.21568411137741297,0.21539171613849875,0.2081599855722611,0.21953588714296893,0.2281673609034787,0.21520052319045171,0.22763341028642034,0.21935446263220287,0.21763985376967204,0.22550156398392554,0.22908797667682648,0.22098113644202952,0.1875044519864224,0.2237263574440107,0.2083927799874382,0.23440132174204817,0.22887300492790144,0.21946360202827467,0.2234244437508493,0.21508238207031816,0.21985586712952365,0.21214374771866765,0.2178845523240213,0.21942391058857344,0.21812195035075485,0.22056768321117973,0.2196775123179748,0.21569354186107706,0.2332638059119948,0.218781245114213,0.22071883678480392,0.21065728549563367,0.2108576895161134,0.21525488270372983,0.20749648632302622,0.21850463950418814,0.2284687404060158,0.2185748913778802,0.21642611212618768,0.22915798411000626,0.23289845892733277,0.21457958366331822,0.21659477351583126,0.21759438524501798
+249,0.28527342885158374,0.10259638763318163,0.3609196840300627,0.17363520959794393,0.2958619576919551,0.111973567221202,0.2931079969951885,0.18186056511838994,0.1396841820024098,0.21119391276024727,0.20345115378312326,9.313225746154785e-10,0.28102288307960416,0.19726932147369644,0.17367412846357963,0.2984381935437433,0.16071757038383547,0.19707188652022709,0.20755006200674425,0.18533945691315798,0.23613990382789413,0.23646942644654942,0.19461734284115229,0.18029770504664852,0.30755929004336524,0.33041055793594337,0.23631608332764656,0.25696645453959943,0.07667431551847302,0.07628465303144681,0.07820262292530705,0.2161772956013989,0.10117989555514847,0.18578821430198864,0.12378886877333398,0.05278170261254205,0.05140584985295694,0.18104854790410724,0.26205116254459887,0.10379739107890633,0.19066479012275772,0.21509282594782791,0.11885490304174096,0.24807700177948835,0.22957588586048733,0.05580554743286533,0.05488795418230288,0.0986835757767642,0.05870794788194163,0.1864684753263579,0.21041525311423936,0.29506467526101215,0.25018055001741707,0.23083875895681047,0.05697969362813845,0.2612376862770318,0.11348434871663657,0.07482498914929697,0.19582993360459883,0.11791623220176999,0.11347442498497659,0.1360338052519795,0.20234436790214172,0.1604299423620528,0.07045446745460116,0.11024741690832819,0.2699022260403213,0.13407980228706012,0.12336265516157618,0.22401028176428017,0.15330148519084974,0.14192275639436278,0.06134856527505685,0.1583002613363085,0.2214759777669482,0.13878861593172967,0.06730401888000404,0.15819731817374014,0.09540156345162593,0.16537569323358797,0.22555161090611694,0.1820359629010063,0.1245020097366656,0.1429480523810465,0.1409959424097955,0.14972843655448384,0.06060769196149216,0.07605186205422279,0.28884123550722896,0.04879659518369728,0.07523021626397443,0.23095402231299964,0.19365516376347267,0.15461997281235712,0.17373303106367027,0.13020634675342532,0.10674682187045811,0.10822356034911804,0.11603917823120914,0.15487418891666938,0.06740874085213873,0.15345588603766858,0.16654512995562223,0.07079325498454976,0.09912362538634312,0.10866392111585578,0.11893364295840392,0.10009710839974671,0.12954212519844135,0.11814631387605916,0.16286349676935546,0.12716808164177237,0.09029996097055042,0.09663780353672065,0.10332000292465622,0.19987407524129325,0.12376711062707695,0.09617091086429458,0.16463699208718885,0.09734086911650953,0.15427225243304407,0.20364207019336528,0.24077213373691225,0.2341937173215455,0.19334466129685024,0.2607325684393937,0.10639101764131847,0.14873089219975277,0.09310157814274685,0.09440834146237295,0.12123985081583354,0.07676788880101033,0.2278418241843525,0.13661101274843232,0.1309530541950051,0.12624920284559846,0.2727792007040801,0.15556295084030108,0.06474600770908014,0.12060363214956532,0.1053393470171848,0.05429502936449024,0.19846833902069644,0.057089078156891716,0.07143330308134128,0.1393252680391248,0.07066332874296781,0.04965190870218152,0.04993861002209729,0.06520003271797827,0.1177460328945254,0.08874314590089415,0.1261470935341056,0.27454860536557585,0.12384655495223999,0.20721549047679,0.13955222407600779,0.17079046442666065,0.05651162090102297,0.16740789205938078,0.08601244423056953,0.0549016037458955,0.06793098892114005,0.06574103115743327,0.1633917817304621,0.16376024260693536,0.19540408349626304,0.13103157092254672,0.08955038385942504,0.05385597051019692,0.1003661018393386,0.074873976620294,0.09680404237892866,0.12579080480104304,0.09960738556606911,0.05635563335230825,0.08495142860721314,0.10084165382385009,0.16811045859631338,0.046782768580263825,0.13128601385976607,0.08184593071518848,0.07095243473137146,0.12705988022549528,0.14152627729123077,0.05974911639575437,0.2153632818338372,0.07653272656584238,0.2112791868733417,0.1460261475727298,0.1748767415729165,0.0760724745132171,0.12118585537272027,0.13387855827750098,0.061609317244540204,0.10002664497356611,0.06006603359602578,0.044694091806806654,0.05236394566024894,0.1031472783330577,0.07819401305827145,0.051927455321435445,0.06668295506439187,0.07307470478155308,0.0822687438802014,0.11442021298592125,0.055662094458558575,0.11636376237059981,0.1040415158002499,0.04798344085921284,0.0915896759857415,0.08458382765454162,0.061054084019475596,0.1023426837327267,0.06218065213674916,0.062004603728369675,0.15848340990971246,0.08606485953884883,0.05213732973493351,0.08060405147161649,0.05266514869971098,0.054500132764625196,0.04731039971715238,0.05007704908196615,0.056371424728794396,0.04954789119986822,0.06826014319958597,0.053407828101487156,0.05365911443044322,0.09746334584435529,0.05008477485895547,0.06153579798566931,0.050310194344914995,0.06055417264320872,0.04929275351151274,0.05026706405118777,0.04794815938980907,0.0837832040986091,0.048523502219148244,0.04614056861443581,0.157387798088708,0.10364827741539515,0.05227022940595321,0.04896702695256043,0.0441891558196907
+182,0.3742398977952513,0.2630405864269904,0.38923534349731626,0.23533759576099691,0.31213545477281474,0.26002690016738145,0.31786802616594345,0.2841253801142337,0.26487446531986,0.30934312862967184,0.3224227280306869,0.2810228830796041,0.0,0.3032702569732583,0.2978293249667269,0.13480630855869544,0.2853685995263677,0.296140187956519,0.14537789859025035,0.2625612751804723,0.32042231013634626,0.3117445914218627,0.31178932730828934,0.2699073731082229,0.3043089426472296,0.3810861246376402,0.3010867232704567,0.3106528647230926,0.28305759302391825,0.28369406908795775,0.2852071882948992,0.3179838572081366,0.2680667452272159,0.30244307696897715,0.299820995015964,0.2793328054670687,0.28885529897432083,0.30239984066483494,0.3455675415926949,0.2663274291786187,0.2317262387707004,0.3120509024047609,0.2816733036506156,0.3458191204146379,0.28916800736268233,0.28597708413628,0.28957146014522933,0.2960204057428048,0.288029453360267,0.30797687945896524,0.22674139029170756,0.38055083798326206,0.3460455345935015,0.33850101964338275,0.2875812465988752,0.3575446732396424,0.27959571439558334,0.2851459340184598,0.2898409209236556,0.2811260450130518,0.28331129566922714,0.30276555620832873,0.2951068647263845,0.27669148017254996,0.27447462025372066,0.2605239431550371,0.3365349742475893,0.28906843869610344,0.292219256966953,0.3154807989982097,0.2939601323599919,0.28663578400679945,0.28958095224440233,0.316221845348486,0.2859862677552191,0.2804247493437582,0.2895754071963363,0.2859526522108463,0.28255559504957517,0.3079413085101214,0.2201074448291249,0.3223115525211867,0.2997123283483989,0.30441927815169484,0.3096015597331258,0.3098796253208866,0.2873675673959733,0.2840921940129711,0.3613055519240975,0.28770889913435027,0.2581963812799993,0.1325199078816084,0.29116397073958256,0.29676122501606084,0.215219032888816,0.25527535394072276,0.29087464770964067,0.2875797292933708,0.277301364800015,0.2792375161561646,0.282863484066162,0.26512320658078276,0.2878417682165177,0.27768774079532177,0.27912285988350916,0.2868078524782505,0.2991688546793947,0.2939498140921263,0.29922241568428765,0.28735379905367125,0.2640698696918429,0.2627203523781912,0.2879154667545327,0.2876351743947437,0.2857970305190207,0.33615214146540817,0.30107675050849886,0.28198844555155483,0.2648975944302634,0.27919763772494716,0.2756083648371881,0.33085668129679807,0.34824414915867624,0.3483811374773286,0.29278916645065395,0.3626695942604548,0.24694006966534857,0.2150506995353729,0.2865843889784122,0.29093911145418516,0.29469632724286043,0.26679119221650854,0.1897440262906228,0.270807967180368,0.2946773859478214,0.3037444066913232,0.3707808915830377,0.29530476299656744,0.28934861131505707,0.2983813139418564,0.27905889770152187,0.28423931114678774,0.32703133743354557,0.28497090400167063,0.2730588155491272,0.21234557071019725,0.27174263924257125,0.2861289931532299,0.2873508225192441,0.28115445672358785,0.28542351893522705,0.2895141186122272,0.2946204241369244,0.1403685545393449,0.26262247281512935,0.3053431423715278,0.3060149222680404,0.2735047368280611,0.2771195805751281,0.20441402856806637,0.28791244741685684,0.2862152287882077,0.28442399298794385,0.2851560174493114,0.3183493200680296,0.3181076587803506,0.33266604234597685,0.29831201422228465,0.29097453139809903,0.28327201084570414,0.2957016666747231,0.2810554772099281,0.2814389672126046,0.25489915136492286,0.25948771396984593,0.2892188278155563,0.2819221703404969,0.28297987873390396,0.28833835821073733,0.28221373448000814,0.2893566246555275,0.28394436824493363,0.2897764314638081,0.29074249290643694,0.2830172306097909,0.27692746998321444,0.2919871040014736,0.2834349752013446,0.3064747676777228,0.2910650277896735,0.30921185079419466,0.29050135934307497,0.2863296891679401,0.28866081274280325,0.28581469631585976,0.2986852752572603,0.28974628103031314,0.2844513667671491,0.2823669978625521,0.28154245827398316,0.288227200017337,0.2853508699219598,0.2779712196373249,0.2797988099545735,0.2813176171186852,0.27733412138017144,0.28844188763914597,0.27722128365067333,0.26834503230580153,0.287735285921298,0.29002695405024526,0.29395915772319414,0.28930255989982767,0.2946293757970811,0.2831647186080538,0.27574491781172783,0.2870443550179461,0.2964285084105704,0.28637037288622774,0.2837483373801159,0.2865653421131462,0.2881875924600782,0.2823042303193936,0.28818923975798444,0.2882880121031094,0.2870902831125876,0.2775796893399082,0.2867064038242394,0.28736331654370023,0.2956561933595644,0.2879112885441529,0.28971990518141477,0.2885188960259986,0.2822528775071539,0.2869296840669109,0.2879527037470956,0.2878891489595,0.29464271249075913,0.2880350127108735,0.28715390342347763,0.3040582974074252,0.258775946805739,0.2867400382427398,0.2857327638643219,0.2876815359445608
+6,0.32828847875807804,0.195899532328191,0.36452965578513896,0.21946472656588692,0.27380730180806656,0.19464053663057285,0.301252240848939,0.2255064048594822,0.20013012046439344,0.2612398714742871,0.2641983501989381,0.19726932147369644,0.3032702569732583,0.0,0.14016393824153184,0.3159937652705178,0.2355899579882408,0.1427802265937092,0.25448058507294913,0.13857615719252542,0.2634807306695074,0.1401794781250631,0.25203978259030024,0.23122284327300316,0.2850554217419311,0.33968769210648325,0.24471724797000236,0.26839995525754795,0.19890662008697071,0.1973184766018675,0.20350084032175111,0.24670878004507704,0.2058745399606099,0.24291038111929955,0.2290078736697298,0.19611660634663428,0.19924412996966334,0.23519906319437142,0.3049847846506694,0.19858033311671858,0.2404900071803404,0.23510033668817404,0.20247325610503702,0.30086559517707206,0.2423451116122389,0.19762222292160708,0.20265346225474165,0.2111857317075042,0.20451004267064724,0.24308611355198517,0.26785953234305376,0.3246767685959603,0.303714043009202,0.2926965177715397,0.1782285828132151,0.3096799942141813,0.2118570659031663,0.20801667137232535,0.21594580400593358,0.22039448794679412,0.209758546341479,0.2272906204144486,0.2500207951799672,0.22893539367335133,0.19101376865968667,0.18851282146989437,0.2792240588241936,0.21674804597512876,0.21805946642754784,0.2640352392205777,0.22951795530493432,0.21978504068019458,0.20305439404413728,0.23912132985164125,0.2364688552563816,0.22091132343117154,0.2057690739119019,0.22416845087583753,0.16780925501731514,0.23567827590516977,0.23709204278522653,0.25818142320448284,0.2232012714083599,0.21237060437863278,0.23032568536304787,0.2310723658978433,0.20139464878409571,0.18481342830809527,0.3110383738287271,0.2007294064343164,0.19790478869810538,0.2727871660648716,0.25689452912265004,0.12016008345256295,0.21435237565535575,0.20940282846428276,0.20457626547080907,0.20321390233202682,0.20612520621550764,0.22547832055922917,0.1963545360585658,0.22986719618408852,0.24143146946268643,0.1930749572622946,0.20762840390032336,0.1952824314935565,0.21941913711317618,0.16171182963532038,0.22086701364187467,0.1914051076289628,0.2029840923459608,0.2027088747078558,0.18419509759609312,0.19766510919576127,0.20608818037381824,0.26944623349436014,0.22389495731242104,0.20184288244655593,0.21460217321633648,0.20192305690253842,0.21891224859873878,0.27267870151286566,0.29588677913332245,0.29259762283372037,0.2559103299815861,0.31240305728664314,0.19225379560077183,0.2288049360574045,0.21088366860528196,0.212616864192564,0.22352771404815894,0.20151169767901672,0.27224519646573214,0.21957884494457702,0.22205496017700185,0.22509140404895164,0.3233821659580025,0.23082729361880588,0.2030097520749063,0.22190817447845151,0.20968758379801364,0.20089884038220623,0.2632891047024345,0.19908916436733665,0.20056911217864778,0.22446541385419447,0.2031904294973255,0.1969294274705777,0.20080075410742604,0.18868626441562633,0.18771973652452612,0.19367745253726815,0.2190410258577657,0.28500355928088394,0.20627012689875157,0.2578532495720232,0.23002261179534794,0.22213676150379685,0.19107451770503245,0.2379481100299593,0.2003969066880385,0.19878783107712716,0.19915986100956415,0.19838224805685784,0.24856581385244872,0.24941593172574247,0.2687578382884565,0.22905507238169248,0.21129684831197657,0.19785968811523041,0.21201250450454837,0.19884149850165783,0.20092583487491666,0.21481678293443293,0.21030499801001562,0.2005145972884189,0.19810374755864457,0.2074817529120748,0.24182093407496277,0.19906656934627714,0.22628059498701233,0.20666900229474403,0.20187223512296887,0.2239843601872064,0.22409120389088863,0.18054364065218753,0.2587664635368061,0.20307919471972571,0.1754310026140488,0.14420790476998813,0.24951547888050044,0.20449508091033516,0.2192045119821194,0.2272403031499334,0.20077348632983424,0.2137340621293914,0.2029098711348192,0.19722932689734818,0.199370771292876,0.20358601843932178,0.2050699625554978,0.1896703117657296,0.1971337057344368,0.19528053575902274,0.20535007273691916,0.20476486619842238,0.19802786826660115,0.2094510634320371,0.19986877537912165,0.20030325023762688,0.15135700225443965,0.20629426933356215,0.17961839395261034,0.2165525183711544,0.2058278542208094,0.19544581665869487,0.2335634225247681,0.2125557600448272,0.20106590565108787,0.20748345185744116,0.19929080350770847,0.2020540182468345,0.19601527252830442,0.20038849166057898,0.1994685596629321,0.19784192908451873,0.20122109017720385,0.20168497986326364,0.19923678082726234,0.21130535484104926,0.20089167744677686,0.2033122836126796,0.20117274021884077,0.19764115816640318,0.199896598081255,0.20096526244591034,0.20037014841684503,0.21135149792709043,0.2004485796806394,0.19973591607750196,0.23347864833404217,0.21181992901203875,0.20016415332130252,0.20096422670898698,0.20002259262501548
+34,0.3215431483813548,0.1709570568756403,0.34849855883801434,0.19522667163134613,0.2807182379153998,0.17755238965665704,0.29711461350974694,0.20787083687184554,0.19227709323090011,0.23505717430469528,0.25088988137639356,0.17367412846357963,0.2978293249667269,0.14016393824153184,0.0,0.31554633455897424,0.21006014913478244,0.12489458873048409,0.24624240906209835,0.13549798161965046,0.24592023008177702,0.1424027218790065,0.23408473912167738,0.21377232672231206,0.29153789925537393,0.3350250169428119,0.2347544530424066,0.25621787108865146,0.17062577635380044,0.17322512581573493,0.17170427807743546,0.2380357645645365,0.18863126301100788,0.2233124365172077,0.20855478488562826,0.1732601256371357,0.17850207652668812,0.21674161075396978,0.29397780041614335,0.17451908182684053,0.22506215227372334,0.22631765238341725,0.1822904775247604,0.29526590609753856,0.22822385164463585,0.17841837950887235,0.17820654024932395,0.18590159304227022,0.1769168300688613,0.2205761200204391,0.25852588429528167,0.3286370669819024,0.2976355263552988,0.27798467556408907,0.1665530655410773,0.30223419808523455,0.19655013207377614,0.1860277172745163,0.18789731925184347,0.19855551971193175,0.19402238631426472,0.21586063579784015,0.24471859640036178,0.21056074383551332,0.16782785770122324,0.17199382831234866,0.2653044699317853,0.19331627377882174,0.18101346332820314,0.24749691279383268,0.2068562763431634,0.18391024398784964,0.1824803662894832,0.22617209181123493,0.2245463587183241,0.20787976915059433,0.1716056408603871,0.2017986161907683,0.1452278469325073,0.2217448757488052,0.22890708433000828,0.24843209773558084,0.20445859538476713,0.19719224409132013,0.21870749987271268,0.2217505908003757,0.18023207388459403,0.16946580641277306,0.30542625588506006,0.17842837571361927,0.1800998143200193,0.26524991914138296,0.24777681549128983,0.13621945354947085,0.21348169206829143,0.18719181596688952,0.1841846245487685,0.18928503648187214,0.1897837950229376,0.20114207251678665,0.17777185124793643,0.21423561942887578,0.22959186633883627,0.1756826902372156,0.17745919038792232,0.19332044103756013,0.1902978826695397,0.17672191782287586,0.2092876783125281,0.19896417481175427,0.21040919233550096,0.19077364233837646,0.18537072654642467,0.16644871251600535,0.1767530009014435,0.25359433746224397,0.20960929328097466,0.18721188374700512,0.1916770856287875,0.1848349586221206,0.20439880715141764,0.2590411498751645,0.2859990127719854,0.283227356462823,0.24359642298250128,0.304273097873385,0.19004732320524592,0.2054493605770149,0.1911865603358811,0.1905294751327635,0.20421908109894477,0.18326877600112754,0.26115944275865277,0.20198354683740175,0.20743805115007113,0.21007617218085373,0.31443237563334764,0.21605939814212433,0.18133163808390249,0.2082097466030019,0.18255931101404363,0.1792569494324177,0.2539768410567933,0.17866197289919633,0.18095071136858878,0.21204723595114694,0.18150254459971327,0.17806657963727696,0.17892877509271807,0.17488404595041107,0.1808187930574791,0.1862351699608401,0.20641129671821618,0.2808697806289779,0.1930376540060346,0.25054664344003874,0.20479002156211426,0.2188163650258698,0.16658983248331835,0.2301565983007111,0.18367589123836744,0.1772969607142156,0.17602504882531086,0.17791408519014051,0.23335463506619228,0.23410751168807778,0.24862406324607061,0.20987072367388765,0.18861131507318146,0.17841890982678169,0.1954950396094265,0.17479502908341651,0.18288609383269924,0.20081809412201485,0.19106079134782966,0.17814990264932035,0.1733479025674685,0.18940110770772364,0.22013350414780525,0.17673847395719672,0.21207633774861115,0.18674788539054515,0.18012575940142891,0.20847107270754978,0.20781780082167287,0.1561983230564254,0.24326591933635644,0.17168033505338512,0.1493513452144018,0.16385496509481204,0.2276666531574517,0.18600322635735925,0.20163598341752764,0.21179455814125894,0.18163852897682148,0.19664903958280833,0.17503211147475264,0.17664586557701478,0.1774273858185502,0.1900373185411381,0.17963082133344307,0.17284680438220412,0.1776294125750818,0.18106940949894035,0.1873732225741515,0.1875311371239217,0.1780257705245383,0.19461372783354494,0.181633221428617,0.17750234659035294,0.15387292270460998,0.17935243587672564,0.16881301382656305,0.198322885908405,0.1810075334414436,0.17456307303314025,0.22234135961561954,0.19216471580602262,0.17839904477875607,0.1772635395148828,0.1780264793701495,0.17964647507678222,0.17582969438492854,0.17814769891009907,0.1784476205592892,0.1762679852845324,0.18203393687986077,0.17881009927216576,0.17909320336379175,0.19505009828228223,0.17855915731847496,0.18120314039622745,0.17929411931078654,0.1783425658516401,0.17779163287654118,0.18042405076791482,0.1774325913656645,0.19007159601862694,0.1777106910864229,0.17739085425504414,0.2269903296271517,0.19652288718382932,0.1788190967264278,0.1777810703774891,0.17657701395742972
+37,0.39018914495858587,0.2807112697877888,0.4129103464712024,0.2552872040759053,0.3314506898825231,0.28235343063162077,0.341389690840468,0.3077328559772461,0.28199427423957374,0.33460008237723726,0.33493480683159443,0.2984381935437433,0.13480630855869544,0.3159937652705178,0.31554633455897424,0.0,0.3063914238459305,0.31459049989177024,0.15397186050206044,0.27645333567295827,0.3388787468058978,0.3274982157279814,0.33009800950289303,0.2916363963773607,0.3269590342757235,0.39935140118681917,0.3202591643222406,0.32859061281654706,0.3021980029536573,0.301990673569984,0.30271982991928753,0.33389938956559706,0.2851188325619699,0.32385760977093075,0.31519460524763415,0.2973885725697226,0.3043340514903619,0.3223570098739225,0.35768124210441854,0.28226069591284125,0.2456438188097687,0.3302996626524519,0.2997001636319623,0.35689535642846093,0.32069542986971217,0.30110492716243353,0.305958539316563,0.31167248285888677,0.30476480510861054,0.3215947067134649,0.2425411502629309,0.3901030674776712,0.36152464663128,0.3510413404727747,0.30294609200605743,0.37361842498035747,0.2976388390800082,0.30752395668064864,0.31710935132048346,0.301627839193202,0.3021184235496526,0.31579805572911834,0.31086180106088196,0.3024905064697998,0.29290600062954486,0.2791889274634441,0.35598554833901086,0.3093090550854382,0.312663709412838,0.3374587797654833,0.3145465157147807,0.3079889827903957,0.3053589336255939,0.33124727365280254,0.30979198035795363,0.29244429201756733,0.3060328223228411,0.3125532986252867,0.3007766291008078,0.31639452072772173,0.2481253902209171,0.3345209594666782,0.31735430429519296,0.3183447732139361,0.3243163591499278,0.32423307005725877,0.3034600788576319,0.2975467627208804,0.37563573400916656,0.30375085282806313,0.2770406974910863,0.14901012562060065,0.302640514662492,0.3081911990885449,0.21270612918636694,0.2698226403607635,0.3088460398730305,0.3027437196717637,0.2951425316339123,0.2993600053452823,0.29848126270983216,0.289473524477853,0.31234093518924755,0.2959850637195885,0.2987732662178889,0.3013200214720029,0.31350104298079895,0.3081286408998748,0.31096906446181244,0.30098382178818645,0.2857311688893768,0.2756681835696161,0.3049057089539306,0.30428185535884067,0.3045123607611021,0.34746989929740535,0.31603892311603476,0.2974312200885415,0.288624478749691,0.29710903704137887,0.2977303434129999,0.3502377720703997,0.3658463141504295,0.3653930009577566,0.3118526731168871,0.380059118403527,0.267190995945744,0.2344408822906696,0.29726098829522346,0.3062076706317417,0.3048194865093797,0.2798285555696092,0.1882315952541884,0.2800452544999591,0.31010132361244147,0.31950162828557915,0.38799125566089065,0.3151973963008745,0.30527582507036943,0.3105611158148756,0.2970818199453538,0.30173791073092465,0.3404855137925048,0.30044426170241484,0.2883601700779982,0.21959187986499543,0.28772979099212015,0.3023037241241126,0.3043052970713155,0.2945246361795374,0.2938684400647425,0.3058991656531706,0.30927146600701333,0.16511783540083005,0.2770452541390131,0.3189878350332387,0.32149775367055106,0.29735040090645437,0.2956296692085608,0.2055411942784064,0.30273154920014805,0.30165792911790124,0.3029936464759324,0.3021933948203496,0.3318895235033802,0.33128110438439035,0.3458792466149242,0.31495078110671576,0.30756962647060987,0.29822594801990293,0.30843620707594316,0.29935650771192407,0.29937089144679013,0.2665743064983943,0.2778283480520838,0.30537287852514183,0.3015606248730358,0.30394199584875964,0.30902155199564274,0.29823479505252537,0.30374277861723137,0.2967248862098054,0.3047202873434784,0.3038782045227375,0.30338004808908886,0.2949367053996967,0.3156226680652486,0.301127208391231,0.32753030323106724,0.3000110466691307,0.3291825658981698,0.30441444092015246,0.294537824480169,0.30320620729116643,0.3026599834251691,0.3142834130540035,0.3060155935490788,0.30043159522796214,0.297102434482645,0.29843505152576344,0.3057741454015462,0.30188379865320153,0.2959033942067148,0.2967536911211112,0.29715870569450603,0.2956640716519351,0.30335284424895936,0.2913228509512586,0.2856316374089106,0.3042940953150258,0.30528458944286113,0.31146550171935916,0.30441013128211336,0.30909004683798447,0.3018842528049884,0.294634300861427,0.31110622649805963,0.31184295472795737,0.30346091639373807,0.2994288989509788,0.3025933214580871,0.304379536463147,0.2978218559141351,0.30427971371647455,0.3041617567328824,0.3030059431547183,0.29599163133099404,0.30494161288832294,0.3037329280978554,0.3110454993233271,0.3037571071731727,0.3057047600031534,0.3055331844233953,0.29918893097637683,0.3027860693898498,0.30385922372649904,0.30429487663181437,0.31073295841761345,0.3043462521965199,0.30344870234822524,0.3174004477591448,0.27071880749564536,0.30349161740956415,0.3030661577371263,0.30422515045924725
+155,0.3118590683968125,0.1565134916867076,0.3368816596789443,0.18215228743501483,0.2908173644880298,0.15623349161306607,0.30012886334910793,0.18393655777090562,0.1843318497017709,0.22943705196584518,0.19112155468515776,0.16071757038383547,0.2853685995263677,0.2355899579882408,0.21006014913478244,0.3063914238459305,0.0,0.22183208349171762,0.2353057300068363,0.22318181436674905,0.2466664238960919,0.261517563229377,0.15829269928269699,0.1958104329216441,0.30600415730236835,0.32610518438793257,0.25535377045166346,0.25337980840304014,0.14802423672467527,0.1631748120916971,0.15394899487299174,0.250887218699099,0.17862492491396117,0.21435997755652664,0.19766748492169892,0.15611915221062753,0.16639789462749557,0.18059690364469433,0.21562176681008824,0.16302607507148292,0.20632233885497764,0.2373582099412227,0.1595453905472993,0.288914522323205,0.22104371904725612,0.15954187047998383,0.16946623857579918,0.18069653165118021,0.16945786832717838,0.21357707481037905,0.2452004080011372,0.3371243519021212,0.2938181998914233,0.27170498983906793,0.16781109957788914,0.28870520920416026,0.17769928469835397,0.17019040834276597,0.19423197745399678,0.19082999256011363,0.18191611882481573,0.21241357717518006,0.23143933807532222,0.20455254950914475,0.1594003844026851,0.17798938954266225,0.2556248909906183,0.16435558395575944,0.1534717617127037,0.21600764224574592,0.2021683738071298,0.15992203350189935,0.16539158240442506,0.21740995510003758,0.2246499504200871,0.19835471040067193,0.15706416974434445,0.1780200277324191,0.16880415711580335,0.21846483041943457,0.23208984277458763,0.24406741888312972,0.2013933159861698,0.2041248343264858,0.2164106280024639,0.21755484129462135,0.16353046503980248,0.1673874231586486,0.23291019449199107,0.16657381867041457,0.1477363572115837,0.25181058547661606,0.1552478387514934,0.2113581815081155,0.20786687528379422,0.1789032946215744,0.17095488799174177,0.17664396370842894,0.15935902027814083,0.18952774467251543,0.16984805853017287,0.1944263454921839,0.1557779200406927,0.15792638076450027,0.15804169115619343,0.16981469993977985,0.19185802425718892,0.1800038460271695,0.19889005632480442,0.18317248546652695,0.2055792793326133,0.18343444643994225,0.1721811742033317,0.1459310263361604,0.16768794858409236,0.2506524883393342,0.20177388785881334,0.17730850063861178,0.18796568546042047,0.1608761986946766,0.19010869718691986,0.24828165102071667,0.2735318756400266,0.2713734348186728,0.23097728340202048,0.2924967257957328,0.1709365786545121,0.18191445167884304,0.1746461009528852,0.16953933618295072,0.19228760424310426,0.1676766148392619,0.25166014775799195,0.19269235130628679,0.1927817205548772,0.19561206389131358,0.3039936376572612,0.20643224285270387,0.16719410703002086,0.19203797168688222,0.15852211744264083,0.16556878066367012,0.24329405642579185,0.15989901207983376,0.1643367970310093,0.19592864983068575,0.1659544252165492,0.1629783442663839,0.16521867184666544,0.16620703925845096,0.18377049053780475,0.1426976750191022,0.12667463835525283,0.269054608313044,0.16426630130363087,0.22760652543698287,0.20462748543626358,0.19442027676642934,0.1531390363192189,0.21153707863242704,0.1645756481128445,0.16335211872769476,0.16034841593191715,0.1650640516675366,0.13797749140312524,0.1428538882199041,0.14272006167600731,0.13603173746943795,0.1313154360210983,0.16415945974084845,0.18277372214932927,0.16506991625453526,0.1675407085069292,0.19159646048199935,0.17887668059109052,0.1644866400689827,0.16810878116555353,0.16587568388556273,0.20995383715639815,0.15986849790915267,0.1928334934887249,0.16735834231093394,0.16925032157870787,0.1941535545670354,0.18624490934245808,0.15583316007283682,0.24075627661999813,0.15662638263569528,0.23109708079546848,0.20485423659770108,0.2215788508022117,0.17624974799730186,0.14376002989706346,0.2000911158881957,0.16876245856954772,0.18483851027317225,0.16724029146839406,0.15979415217392182,0.1643865309227394,0.16374182629699402,0.16534808449485083,0.16298241385035708,0.16562132242627173,0.15867727081326657,0.17082773260609208,0.17265475538775077,0.1644805739878431,0.1868834204539501,0.16895899283878846,0.16354263546731948,0.17972480189428017,0.16210492406517935,0.17151208774898913,0.12622273444626617,0.16790398252216615,0.16267889947489178,0.17178741459451624,0.17928379213067425,0.1649102674968272,0.1565703149328183,0.16458653904545115,0.16465365194384726,0.1597064879777888,0.16400765851043533,0.16629013649634763,0.16305281812081324,0.16928704535169084,0.16169286543928163,0.16355743545231669,0.17920576615905126,0.16368531790582577,0.16747603456747992,0.16539271773879757,0.15657317552321978,0.16059639782357807,0.1624477848233155,0.16363111488131601,0.17558992128518922,0.16382509082586894,0.16320555906268197,0.21582699884132403,0.17938624624539423,0.16428557412462774,0.1654105268290559,0.16404883623003652
+219,0.3322806733268222,0.18090542097100443,0.33245860890142914,0.20292079209680505,0.2675655911531324,0.19001556507722783,0.28396959308347014,0.2064373380755746,0.19980968798892046,0.22747771531981575,0.24520833676529974,0.19707188652022709,0.296140187956519,0.1427802265937092,0.12489458873048409,0.31459049989177024,0.22183208349171762,0.0,0.2529176481699615,0.1318617120716143,0.2365519788236829,0.12982817520915502,0.23189665583262659,0.21662030084670914,0.28476912685980654,0.3145753910580383,0.23559740032524648,0.25877825507416446,0.183318527471345,0.18786414896373368,0.20152925486080486,0.24456249953835282,0.20595336825961097,0.219585008856831,0.2316001358510974,0.19174279169597866,0.2023297918785654,0.22006253789261496,0.28389233152412235,0.18700020157991443,0.2426608366727261,0.2316012738646178,0.18940982091871889,0.30213074616663843,0.22752967163872162,0.1991837344606157,0.2057048212346443,0.2087785638332196,0.20365087408984678,0.23529452882211097,0.2681339960944425,0.33496628247268295,0.30599054978376994,0.2935461614977156,0.19006761196300948,0.3149820046582896,0.21142733599192015,0.2064542141554817,0.174810364990942,0.2141641568134393,0.21151605373023055,0.2335107260460489,0.25311753660462294,0.22305592304472463,0.18803099072038482,0.18679368535341548,0.2591429660304994,0.19793592722375195,0.20089053655257474,0.24617425296491974,0.21251255260795898,0.20272251673845598,0.20459597558998008,0.24677180981669547,0.2121686587168924,0.21872306169098066,0.20542374256613904,0.2025708083296935,0.1594621860798021,0.23944336192839066,0.2239279578999139,0.25997084210543303,0.2225866224921365,0.22510340633118886,0.236172776642507,0.2357908751461187,0.20152520152318035,0.18911980648186352,0.30545859278913606,0.2019235460002527,0.1954015176977587,0.2702780561508566,0.24508449693345585,0.14431911461004038,0.22156711089986725,0.20642984861452984,0.19605982450369977,0.20819105117666198,0.20418921029835943,0.227278185615971,0.20097953437647242,0.2292424607975456,0.23234097132745052,0.19583469106549584,0.20605375481431212,0.2080608702658213,0.21892893400118257,0.19616100666948982,0.227579977065843,0.21034642690245817,0.21937739495039377,0.20605658123983683,0.2077994257260496,0.18829277912523076,0.1846429904098391,0.27365239901888916,0.22474197174115265,0.20697171061104305,0.20062915972085021,0.19949208855157494,0.21020957567576365,0.2757271137891385,0.29943526503573603,0.29682296878957565,0.25609762225474236,0.316539856908439,0.20773745728987145,0.22878931975318995,0.2114382249386626,0.21203769136300013,0.22431972650316362,0.204173606336317,0.2793801053556354,0.22323382638533765,0.2232943863789785,0.23038708840158606,0.32680882702082237,0.2290320667779115,0.20275300608397845,0.2252939835604195,0.20316532856187264,0.20125751917489823,0.2687664775057768,0.2026732925948016,0.2017048725362473,0.2293082860858245,0.20486456862425753,0.1990715313303266,0.20035987060210642,0.1942747834256682,0.19810273778852083,0.20296724753779286,0.2186407488744674,0.2742460179667575,0.2072261847124559,0.2564983777514651,0.22957945101097355,0.22040007461793823,0.18360227474064086,0.24358613072416976,0.20379959738128195,0.19914426538173818,0.19455561893350892,0.19851853685916265,0.24331615642398,0.2444532147579672,0.2643414293189483,0.22601383707457964,0.20642324764776035,0.200678507666728,0.21651459214809757,0.19471560989713552,0.198641099462734,0.2167121853232526,0.2069487144183545,0.20070905155511592,0.19420678283051898,0.2038909298951823,0.2248737560909193,0.1977444224480164,0.22580241931287046,0.20650090459191456,0.20145392682212276,0.2247453235377748,0.21661195027616528,0.1769249586469839,0.23959786689270188,0.20402932298243617,0.15850658832506379,0.17605978092447988,0.23080087538508157,0.2108007790388695,0.21796486265221418,0.2275095804722165,0.20156879600323252,0.21768641386716414,0.20272432451874992,0.19803880398153664,0.20033016220870747,0.20428749889335077,0.2030186676669711,0.1946828268805595,0.19821626335330167,0.19713185944633485,0.20626482665205415,0.2046491391818209,0.20153451439421258,0.21011032221128784,0.19653485300500398,0.20010409666023773,0.17631729784446734,0.21139760010114844,0.19174141935295308,0.2125563227445981,0.2065094134023546,0.1934688952941528,0.2288980254653692,0.21307509707495495,0.20102338693880964,0.20864744838409163,0.1995345590418744,0.20203715164041264,0.1972349936135658,0.200742449668879,0.19952676976450903,0.19899574193353425,0.20332679631034725,0.20140890119467014,0.1993953989207244,0.2159104982232975,0.20215225271667878,0.20192511845407846,0.2014613415850022,0.19652876204058708,0.19965995232998335,0.2013054835813086,0.20020965191850743,0.2113587492063917,0.20036634839954773,0.19977472467752072,0.23380441927199788,0.2180689175988375,0.2000729452522507,0.20130175533749012,0.20022093833375565
+58,0.33599821328395457,0.20133889355314283,0.3850289220717841,0.1970507898431485,0.3126787816698461,0.20353833497920595,0.31319601797398217,0.24584950632243896,0.22025365346646564,0.2750006544537962,0.27835672306773673,0.20755006200674425,0.14537789859025035,0.25448058507294913,0.24624240906209835,0.15397186050206044,0.2353057300068363,0.2529176481699615,3.725290298461914e-09,0.22095615166259142,0.28955151984464045,0.2747090734622195,0.2686955552057666,0.2347204245068597,0.30850795634784806,0.3665377943348358,0.27945310251492717,0.29368721192536185,0.21256297516533604,0.21203382095779807,0.21481351075533164,0.27754249105710005,0.20295564406854982,0.25724923956877005,0.23049010391673083,0.205237786311097,0.21081314905274592,0.2567414559703315,0.3152976825043093,0.20693970323909394,0.20041194123881556,0.2736004313048189,0.22016202493354986,0.3035793371432772,0.27357335044361347,0.20859515017976418,0.21164003941237566,0.224197782247063,0.2118079167638164,0.2621787374745866,0.19342933159425252,0.3423090021834271,0.3070920145130742,0.2917021516627342,0.2094917784931538,0.31672267266868975,0.21868754917152133,0.2146120576585894,0.25636659117510385,0.22057524068313716,0.22131018355240567,0.2413018051848969,0.2603347166671016,0.23812671706005503,0.20316657989668213,0.19981812280764585,0.3122794795874228,0.23461917660061232,0.23148319694201563,0.28421126240416006,0.24005934831930356,0.23239117859029923,0.21307990895290643,0.252089818616498,0.26204355136624746,0.22812401822216363,0.21274819196547368,0.24555589889418658,0.21529854725793596,0.2501688761074045,0.21950672187205303,0.26470243924379755,0.23648924255787904,0.24259384359856567,0.24732292078738569,0.24754947854751588,0.2107613002140578,0.2095282508692911,0.33817528224387206,0.20986794506943482,0.19187030958182436,0.12162748626156414,0.2444273938007045,0.23670127306144909,0.16825947045161976,0.20158187823067772,0.2248979795587286,0.22184328632417194,0.21837452359739049,0.23072319138236635,0.2105313022251654,0.2177743574996015,0.24513127524478306,0.20716619618417553,0.21521721517128645,0.22003038482141987,0.229574443072815,0.22006840524222684,0.23254999722908037,0.22614304789846001,0.21899391821044306,0.1994819009478277,0.21834218787803572,0.21832993141025964,0.21945534749783574,0.28059308585827075,0.2357056437495358,0.21440425422589038,0.22577720016771888,0.21558412580125605,0.22637510443051367,0.28018036539929114,0.30340611156602615,0.29951772392754106,0.24526445044384915,0.3200683316110385,0.18109946790125936,0.15744227708207228,0.2165794226583409,0.22203746944953082,0.2276888744525147,0.19311401165595968,0.15833864459941124,0.21637227208990054,0.23423761236384785,0.23650868171083514,0.3286049471287272,0.24035874962215084,0.2133403007344651,0.23197708285598603,0.21906403849466918,0.20838216318171005,0.2723883544053491,0.2093824405974871,0.20381900418948812,0.14707748859617956,0.19599726340222573,0.20930788483700669,0.21122059660435039,0.20608569846643288,0.2183161836025977,0.217269796412738,0.23062422425480722,0.17288653765442863,0.2096599702656624,0.26783510557754303,0.24392797663116042,0.24017358930919755,0.20279046858646907,0.14321974537446852,0.21591242935691968,0.2091247511859963,0.21136581660939632,0.21060976132364115,0.25612817729827353,0.25632273232900027,0.2757106375577437,0.23432405128030143,0.21967535043710532,0.2035849815159947,0.22180965203859832,0.20988277139259412,0.21443145272855504,0.19318260188010447,0.19572340305070615,0.21082403470285024,0.2159232797463011,0.2236174388925297,0.23800591858428638,0.20733336628460416,0.2291441536283285,0.21380255951678281,0.214907256071059,0.22739508935603514,0.23294583290704043,0.20325702174026797,0.26286284387507197,0.2106039014597148,0.26717203371762116,0.22983616528141768,0.25527906465384287,0.2152914612727599,0.22248734155201264,0.22790033208343763,0.21013865522505518,0.2241088424770094,0.2121471988981649,0.2085320486727068,0.20321952135447038,0.21696045627037994,0.21477035280872214,0.20698400256338934,0.20781499483178112,0.20969716041984146,0.21207099119539,0.21561797013270773,0.21114916952439744,0.21260661126846894,0.20802471399411793,0.20881932894717609,0.21657216214750669,0.2179762900015164,0.21233404108786824,0.2245419823456298,0.2089891124049064,0.20647211028307141,0.24190092183029135,0.22137232889042466,0.20981767426263076,0.20978058814000194,0.2089728335944285,0.2106130078384953,0.20489702368661988,0.20933057312988526,0.21031850523764473,0.20824418431189498,0.20816839361314618,0.20980028271990434,0.2095930319771967,0.22310904079269275,0.21002104336807254,0.2125106574495022,0.21309879773040222,0.20881629735477028,0.2084672345237797,0.21093642609871383,0.20882328418919557,0.21954587408567622,0.20889312635204774,0.20828342386182674,0.25341576190832915,0.18582975799780024,0.20977801489213005,0.21000667127595532,0.20916365108035287
+163,0.32186197856031346,0.17918005463137665,0.3455326826711148,0.19229836750042495,0.26414549190778036,0.17546215904977067,0.26926610440954185,0.21094141667897037,0.18721894309106912,0.24043196598681424,0.24624100147147204,0.18533945691315795,0.2625612751804723,0.13857615719252542,0.13549798161965046,0.27645333567295827,0.22318181436674905,0.1318617120716143,0.22095615166259142,0.0,0.24204578340756167,0.1435041731850983,0.2334422057926829,0.19352863844157492,0.26633030227009985,0.32673449949896,0.21534601282576274,0.2418733652792606,0.1864618819616056,0.18537486249854818,0.18913253653500314,0.2365768557279839,0.19044509722838693,0.22658324950310893,0.22235243245116865,0.18493209615007794,0.1929225452313154,0.22535987850049732,0.28551064725412023,0.18025142161316055,0.21287423566984626,0.22276311390806638,0.19264284371393522,0.2964392030808088,0.2183120778224124,0.18995897961483052,0.19886672271955114,0.20157760215326756,0.19472283774130952,0.21286587089043654,0.24752096116117295,0.3285201326780486,0.3003150742592538,0.2871724036339768,0.18127309647003537,0.301544896111851,0.19605471068691202,0.1988464579398544,0.18511530372107626,0.20226828561001522,0.1985487896080301,0.22005739657721426,0.22768809453679095,0.20683089728760584,0.17915023196523333,0.16648278597746408,0.2616766328645389,0.19999307559355095,0.20421125057673967,0.24856813762128294,0.21138078269084012,0.20315464137251188,0.19430088981258614,0.23862777493228848,0.20278582675217055,0.1878429185684305,0.19842433154294936,0.21093000403263654,0.15844114293426553,0.21461191906172505,0.18326259664964584,0.25285042968005855,0.2152673373847749,0.21599304546839473,0.22681047153213924,0.2296436489115444,0.19294347662699401,0.1768866397564262,0.29236580452050526,0.19344449292594726,0.18086774805054723,0.23758698597999592,0.24150947127335348,0.1359566572768993,0.18520597620355705,0.18621056476299216,0.19808340718909884,0.19541858314698157,0.18870802378733334,0.21071314937208904,0.18963490706555788,0.21137766697795338,0.22432311305151378,0.18190750652937404,0.19497935478667322,0.19452270240677894,0.21064036388771482,0.18750344969090663,0.2173375533757037,0.17524631757944314,0.1936942678076082,0.183770811080936,0.19598502713397042,0.19072486419841522,0.19149912057117033,0.26686041764582297,0.21715868095920812,0.19670963388934665,0.18548407009800738,0.18692754555692798,0.1993221502994192,0.2652773672913626,0.2886043166888592,0.2865776292584141,0.24109140799547457,0.3047119791808591,0.19244961840073715,0.20875256294429315,0.19349596799899269,0.20235157106629043,0.2092953783348636,0.1883026052082502,0.24810470950956684,0.19853321889468847,0.2106014761516408,0.21911051230292117,0.31703505740353727,0.2180990158269138,0.19488410061612035,0.21129081951015713,0.19383817756214655,0.19227206402216968,0.258690489600492,0.19205253700129918,0.18789952515430228,0.20497471833178801,0.19399284505759137,0.19149384526502208,0.18983512983315515,0.18160449232548292,0.17826684121180691,0.19605359697591082,0.2099431798625765,0.24415973749205336,0.18615339375991685,0.22063354947450756,0.20503275340767393,0.19399643735285707,0.1794081841229866,0.21397650357278353,0.1920870422405516,0.18815733396565887,0.18735187630427652,0.1861311965719743,0.24107764803563136,0.24146666131448674,0.2621205203714369,0.22211638823354943,0.2006324325237008,0.1910546752157077,0.2070587996723976,0.1864898547357905,0.18809831073278396,0.18967477734896576,0.1924203565540831,0.19405743171813952,0.19011149071876238,0.19698720661125027,0.22160431576812856,0.18808790164364764,0.2047912698794421,0.19122610221923433,0.18658007499326096,0.20437929307441677,0.20504996254857105,0.17320830148227276,0.22690735012834623,0.1941155759135224,0.15544010219798118,0.15967220384056888,0.2338137960675322,0.20094131339842075,0.20228120099984723,0.20786592740496873,0.1925250676664243,0.21026463746512467,0.19410978560503803,0.18540760175617824,0.19175978994942702,0.18552876495052334,0.19438076454566128,0.18630414950304136,0.18036351347050783,0.18604041266812837,0.18164102474606364,0.1867600651478845,0.19260624809159424,0.19180749837098052,0.17621597856966428,0.19258843431922273,0.1691612187916789,0.20423455909128155,0.18275354578080233,0.20693781176831,0.19810725328825476,0.1714191849754047,0.21712376576751422,0.20412246607718723,0.19364543582205668,0.19813470842210812,0.19110117887181424,0.1924549199662786,0.18713715638250844,0.1927983618078376,0.19210449913820737,0.1905542732162966,0.19144576140653047,0.19426650183654748,0.19055911573056505,0.20769795234997276,0.19216826245171184,0.19532636915679058,0.19514068299201126,0.18773230619200015,0.19145355765650093,0.19034550142202933,0.1927930346020114,0.20139300519043177,0.19296559416625544,0.1920624719446153,0.18703542721191926,0.20096434128567534,0.19028413407234462,0.19314627978420676,0.19255205716265605
+107,0.34731483562418625,0.21609246643990088,0.31900527646256,0.23738167741536928,0.25416108378743885,0.21717058151738086,0.25691353979638215,0.23642412548243943,0.20611882560738454,0.17442194183522908,0.2458709926670749,0.2361399038278941,0.32042231013634626,0.2634807306695074,0.24592023008177702,0.3388787468058978,0.2466664238960919,0.2365519788236829,0.28955151984464045,0.24204578340756167,0.0,0.2585834602996252,0.22345287123627788,0.24542502134006272,0.2998214331109688,0.2668057003906724,0.23920257804038708,0.26788964383948904,0.2208307980780807,0.21690901646815594,0.23761311806398752,0.2712907474896895,0.23657487073276212,0.1897899473682215,0.27117980804059577,0.23472492008188944,0.23754897136616057,0.21189737552869553,0.25063717364736365,0.2269983489885753,0.2569712321662609,0.2409082558162877,0.22309124128172914,0.3274981411364443,0.25244691976928857,0.23993714588623988,0.245326462994401,0.2532499186330963,0.24482354197343964,0.2557245471544997,0.2953915422398889,0.36495080351659365,0.33180658960127035,0.32199838421070004,0.2441415098221561,0.32900672029882644,0.24491392454074365,0.25284034755477913,0.2302842334194792,0.22851268886821607,0.2473375847775557,0.26095927232726124,0.22195662516998804,0.24917649596229402,0.2343344402197325,0.233908627752307,0.2695158583349093,0.23091116806196085,0.23893497466908897,0.20117610042113693,0.20398355632422216,0.2397056562318797,0.24630699520652533,0.2771661294444358,0.21284940218784804,0.24317041862604777,0.25088271754232316,0.1795786548809747,0.22908127622937735,0.2719767795588734,0.25135764917497916,0.2957292385667994,0.2670665414417421,0.26411976762217887,0.2717784087043858,0.27485625842718814,0.24692401687218704,0.23796428461742777,0.26305438554953925,0.2435058187932755,0.23326070868418075,0.3031607462569021,0.25415719064634906,0.2509625756582401,0.25920693143322193,0.2265673700004531,0.22175236098706194,0.2338980746184939,0.22905382528640836,0.2575618182817223,0.23642785294540383,0.23576012130400012,0.22385537062711916,0.2306840167797866,0.2385667440297173,0.21889413405437302,0.2605800768778138,0.2519570284848569,0.26457092670073473,0.23996050184745574,0.26025201942090975,0.20709677325930495,0.24453744266774444,0.22307258758496984,0.20017111842945626,0.30132688332877144,0.26595580085783455,0.23928834356778486,0.23500591470614937,0.211080196987041,0.23137627787727205,0.2973217229765014,0.3176059348420552,0.31787365646446936,0.27768549339113346,0.33236791410300304,0.2500545681252528,0.2697416795826706,0.24492156940569157,0.2412456207693981,0.26224112740709227,0.23687937518116875,0.2995077220389353,0.24324843954573494,0.19039898799228133,0.26463780461807435,0.342895468958553,0.26168183035107967,0.24532650995717556,0.25856946986995116,0.22065680109627162,0.2453055525854653,0.2931776552248516,0.24186142518461712,0.23839975173204725,0.2629702338606331,0.24688004162883526,0.24127620439529956,0.24525993857664186,0.23040225482177654,0.24285984374781297,0.24233315727771668,0.24115661116286966,0.29428164019032454,0.19736427599217757,0.22712478703186093,0.26629858812222484,0.2165289210041445,0.22171937232866393,0.2712324559135047,0.22022054904090163,0.24197093865670233,0.23987527211017634,0.24278539569498306,0.26881527982865766,0.2680046167933553,0.2837026878562593,0.2554896193555846,0.24187594896503023,0.24547011845820668,0.2554082011437683,0.23227952712527075,0.22461201259100763,0.23026956201978666,0.2312765904542279,0.2468540058513047,0.2294657276818445,0.22078209271745083,0.21634741380078065,0.2389142209569028,0.25126192730328356,0.2414373703772619,0.24454106487410954,0.25866945241610173,0.22019096753571774,0.21677232158683343,0.22335041601824557,0.2449689567520167,0.2648579789964355,0.2468895349871897,0.2062314673232522,0.23267497312161628,0.24808278970892852,0.25786314245808445,0.2494276259782655,0.2586477708994709,0.24819968444018067,0.23734765940268115,0.2466967071648836,0.23225666861404723,0.2504473283929242,0.2435646636064812,0.23797052256713574,0.22503488618316067,0.23497535191397573,0.21988361547697893,0.23592367091529304,0.2517919626267569,0.2305067580680582,0.24594550158427744,0.24477908965671663,0.2547012325815707,0.2450053797422654,0.24355092553088345,0.24851326120181422,0.23149001831698354,0.2016323264645208,0.25068986717285013,0.24734410748200555,0.2509020514874319,0.24490630491049467,0.2431299171584121,0.24031401701145785,0.24519143326467255,0.2446471412321215,0.24343245530979835,0.24539077143913499,0.24768097816594636,0.2484809277569328,0.25543225976232997,0.24330020181716117,0.24859663989709366,0.24535161276272924,0.23300929841659618,0.24601572741445013,0.2453674653419492,0.246709115439621,0.2537378715888413,0.2462011014904941,0.24657303988698448,0.2524982750338945,0.24764333016701537,0.24525368794557698,0.24716753442246883,0.24429487000541697
+62,0.3553125595771674,0.222992515771772,0.35636876855352856,0.23395654007452835,0.2836841096199895,0.22081865015030783,0.29591242789126754,0.24076695881324797,0.23284779526041519,0.262506159923493,0.2826915710729855,0.2364694264465494,0.3117445914218627,0.1401794781250631,0.1424027218790065,0.3274982157279814,0.261517563229377,0.12982817520915502,0.2747090734622195,0.1435041731850983,0.2585834602996252,0.0,0.26635101626692803,0.23966967952397528,0.2795816846452145,0.34495487985459206,0.23322267284626888,0.2748053190753121,0.2283596246214997,0.22605895478705829,0.2380917787311909,0.24705305368209443,0.23397737917741704,0.2553546967853937,0.2647229208575057,0.2329299625747475,0.23887213657511872,0.24995204685191563,0.31698237679107727,0.22144479342787754,0.2530083584847562,0.23015605536668168,0.2187615067439522,0.3257362135797429,0.24235068831079865,0.23779919252068826,0.24379146802479076,0.24772308567866447,0.2417364286723225,0.26502440430426566,0.29446622922554244,0.34670995126634147,0.32793538625506446,0.32029475045777,0.2252582923110247,0.33663082452145726,0.24450608240195076,0.2453812211407914,0.2052042411106352,0.2473047248789031,0.23914320726377306,0.26120652819321033,0.26828846972541576,0.252819769546726,0.22186593634242394,0.21238510455483378,0.2684154636959275,0.24070402716246786,0.2431333478139038,0.27115505776962534,0.2430338365446817,0.23839835625774883,0.2416861979149402,0.2790279797617585,0.23393080625525017,0.248186216208055,0.243487413232143,0.24111243596259863,0.1978785724885854,0.2669804212262593,0.23479119086403788,0.29077459097144165,0.2596622721448068,0.2476068003409931,0.2654813340614323,0.26240068243055603,0.2400757141963793,0.22536138908881898,0.3257672357866259,0.24089513265140136,0.2325040972857719,0.2897791439225271,0.2818712970994589,0.1554655364014834,0.24352902489610956,0.2314628284828378,0.22988655404340053,0.23412349163762575,0.2303399488357999,0.2473892699895016,0.23088979346632846,0.2589886663892546,0.2690607300864906,0.23022016251859842,0.24243335673762453,0.23705857890618456,0.2545022520491402,0.22665703595712358,0.2598282582047055,0.2399743392477256,0.24168634077963652,0.2294611531647947,0.23810576248212903,0.23034647249736406,0.22757700335305897,0.3006527979983008,0.2606522880413438,0.24095964430057248,0.22663445023788117,0.2357709058912384,0.23745355844499294,0.30337459272212136,0.3237319346693496,0.32292766230519593,0.2832908857964739,0.33988906438177224,0.24181324950097882,0.26041861411988027,0.2451113360933648,0.24393447776148652,0.2567247865440327,0.23663863172795033,0.2913246170236704,0.2493439441095112,0.25141759751530257,0.26383143237922807,0.34997590083112173,0.25654783648002566,0.24235791888564953,0.2584705423722221,0.24181094100063522,0.23929578346867794,0.2979037107073007,0.23852203878181472,0.23604887868262475,0.25838651883280994,0.24196080479762858,0.2382732147466871,0.2397226784468486,0.2300978096186324,0.22925330452814757,0.2396562969358416,0.25189861314130807,0.2863879416513809,0.23351137911648745,0.2746546986574034,0.26044166131595287,0.2460576474261236,0.22443795427644772,0.2684166386856953,0.23453874110179795,0.23701194730297218,0.2340828874696039,0.23566810786003656,0.27934148815945475,0.2796643287461244,0.29800777149231833,0.26284739184759454,0.2450904744094528,0.2387825406770776,0.25405242938248235,0.2295578434903941,0.22900013717739345,0.2407919825200678,0.2396403695860407,0.23948988170832555,0.22391739917352715,0.24219662902685404,0.2595168708651894,0.2365785141282904,0.25332274782076275,0.24242418597590173,0.23897263415138012,0.2546584486010868,0.24330737099197353,0.21265048577948575,0.259865814351047,0.24094548905153526,0.16743249250704526,0.1886557371026528,0.2647242754633033,0.24569495142135656,0.25272374354239924,0.25423815479802564,0.2406598433063883,0.25470678385940726,0.24083317675111424,0.23562337289373364,0.23899128916003995,0.23667926758954314,0.2407792585103206,0.23233188778751987,0.23218423270650726,0.23535103043676178,0.23713094444267768,0.23083239113397372,0.23907726190066234,0.2394641539205359,0.22625745140270612,0.23874996234346768,0.2048131740964731,0.24856982508288156,0.22655716636758486,0.25124372428002323,0.24405047079453912,0.22941125136475846,0.2588661339169037,0.24743970700706203,0.23960112127170705,0.24551934325013913,0.2387868859828585,0.2399900627807668,0.23558211658695938,0.2389020857002631,0.23819864432190835,0.23657168519593508,0.23908690932596408,0.2400599621858824,0.23842610192589084,0.2518772304773606,0.23931261136761867,0.24172702209057384,0.24121895997451817,0.23538673199186722,0.23764390233269156,0.23871735051021484,0.2389140081633922,0.24797773382003122,0.23898215660942934,0.23866568868188354,0.2586977321797242,0.2493202559281005,0.23935522636192383,0.23986297961934902,0.2383759248886201
+188,0.3377577151780888,0.181086325810679,0.33336207827052117,0.21855241452376384,0.28878234748461984,0.19724934096226932,0.2692131965602028,0.2276652546929817,0.21172434405380167,0.21273752755485306,0.16649049898402452,0.19461734284115226,0.31178932730828934,0.25203978259030024,0.23408473912167738,0.330098009502893,0.15829269928269699,0.23189665583262659,0.2686955552057666,0.2334422057926829,0.22345287123627788,0.26635101626692803,0.0,0.2356461248655468,0.3121463534770254,0.28339311465817546,0.256693638189121,0.2614099196524446,0.18778050116301187,0.1836822202860192,0.20066734380831436,0.2660519256419493,0.20478885576126,0.1931497285462939,0.23040661975322627,0.1955092467517083,0.20380710347652414,0.2275039883499219,0.17708480505766502,0.19594783528302734,0.2349918172676593,0.25586050796170623,0.18769305364955308,0.30762569540927004,0.2471126041643892,0.1953960211693739,0.2081216113272331,0.21484184889016317,0.20252062139396346,0.22469296994785293,0.2738904879808716,0.35259683838104955,0.30854815144486086,0.30139319691769484,0.2049749669587947,0.31814023231980965,0.2142740412532496,0.2022556767295133,0.23003445633714772,0.20923292417917325,0.21195387303146565,0.23903817272839395,0.23960801110194013,0.21786148289956658,0.1964859501408769,0.2074571167167558,0.2898885891057874,0.2040521351763382,0.21176928761431546,0.25670971201135595,0.2006906205096475,0.2213507453653356,0.20196800821732144,0.2515183279973634,0.20757658802805187,0.224588472920142,0.20659865457704696,0.2104530826106106,0.20059562675855044,0.24045943769233857,0.2546963304933677,0.2706402848374653,0.22233002534245744,0.23890011696778718,0.24218042034291715,0.24218308941028427,0.20110435427211998,0.20208503168869757,0.237153074736161,0.2017473375945413,0.18638775459231158,0.28027975205637495,0.13750176468064831,0.23174230098452733,0.23417706974919258,0.20983356175138898,0.1966783989027913,0.21381246658647585,0.1898310473362005,0.23402733772332257,0.20159761846957897,0.2351529642906047,0.1847805579801106,0.20063621144907715,0.2110678560951992,0.20335514953477163,0.2243229263283603,0.21481393644819627,0.22876658940855624,0.21248603730002563,0.22944135137240437,0.21802322930099421,0.20502840628345634,0.1937063335233301,0.1799799783518275,0.2822382351330259,0.2312789143773209,0.2106666283822417,0.2204409409307265,0.1922750077404324,0.21393387876922612,0.2793061656346565,0.3031665769983552,0.30128302754687947,0.2623769865574723,0.31974614507773025,0.2132371919403444,0.2362824242695855,0.20741331758155482,0.19721474893804095,0.22157144116773192,0.2035699231863661,0.28269266550184585,0.21391800901753674,0.21968417411705768,0.2304189762079137,0.3307798930800189,0.23345531511211737,0.20047461487855056,0.22155651991841654,0.19236176976671315,0.2001305379217311,0.274628175000808,0.19736201005568657,0.19494982863962293,0.23338814121026896,0.20420225444847467,0.19921577331650722,0.2007788253586975,0.20058266579855452,0.2149877794216505,0.1763157214971814,0.15387968966326301,0.30252681277729954,0.1859119016172984,0.24287282643101465,0.2289086593373427,0.21543583685540413,0.1861048056287511,0.24608528988661219,0.20185580220240193,0.20158456839898078,0.2015430440169892,0.2043409659044413,0.15159857488662185,0.15514963170506252,0.1620733939886226,0.1633292836963871,0.1627520015318564,0.2037120163678991,0.2193750323616618,0.1917387819027818,0.20322673049601067,0.21899844224389975,0.1961405778078927,0.204977479487352,0.20542524215782995,0.19815897165952107,0.2090749063567594,0.19648139522091945,0.21515427444723456,0.2021733357650266,0.20427414308394523,0.2173978493797743,0.1816948457532131,0.19349108452474975,0.22701758704245958,0.20543113976718888,0.24977482142713914,0.225505101532703,0.20137068946575418,0.20715735086735595,0.164515173530587,0.22148927825072184,0.20374906684930136,0.21984742828689258,0.20546288067987517,0.19566492871558372,0.20340286976254016,0.1998990855520292,0.20061318063719324,0.20143154782111183,0.19684847122671753,0.20083413689737967,0.202746268668085,0.21054924858429888,0.20118153357201055,0.21558728777457434,0.2059378018439673,0.20260012849678843,0.2118031676563014,0.21416762493175054,0.20711422822228323,0.14761313557281108,0.20626944456156313,0.19366308170197302,0.1984143357892659,0.21205539353120847,0.2009601598130028,0.20751645099389457,0.2010108246243238,0.2036965177539555,0.19908097585286225,0.2018997718754182,0.20310734226572544,0.20235350653302595,0.19596269661087057,0.2041628997832651,0.20172086187817045,0.21278666052969106,0.20257045573656068,0.2055458963236901,0.2011305970586184,0.19863762302660823,0.2013504980713389,0.20067630344800555,0.2029605621617355,0.21350665678762265,0.20299796337835857,0.2021801144699586,0.22908051631661652,0.2141034228822215,0.20095367328789537,0.20065166133866594,0.20304094102541267
+79,0.3112185344250425,0.16852933845756948,0.3205721401150085,0.1589125352765736,0.2594089795992151,0.16774687345747372,0.251632404228607,0.14911122415395037,0.19012761474394294,0.2297622881301022,0.24081415881784152,0.18029770504664852,0.2699073731082229,0.23122284327300316,0.21377232672231206,0.2916363963773607,0.1958104329216441,0.21662030084670914,0.2347204245068597,0.19352863844157492,0.24542502134006272,0.23966967952397528,0.2356461248655468,6.452392069879462e-09,0.2621666605020745,0.32221667825433187,0.18905589724357347,0.207881802626369,0.17150109000314404,0.18465657342535283,0.18139981962372523,0.2221400819471352,0.17495949404663202,0.2221813668552855,0.2024142462306173,0.17908805781085257,0.19012606570817114,0.17623702744514344,0.2809897842153125,0.16071824108264765,0.2023198429621162,0.20991216481346156,0.17913652049133785,0.2951510627295406,0.19502732510862458,0.18400010963327373,0.19551422906692897,0.18921565663584086,0.1899970032299898,0.19689298799631907,0.2537965013678049,0.3343264388417829,0.29779395766429567,0.29015342664734217,0.19231999688924767,0.2923334896932642,0.16657251240896406,0.19820656758667043,0.15297921006761947,0.19501711029246932,0.1856004076132309,0.21183776951527894,0.2033582507089153,0.17388509280700243,0.16721099755246216,0.159986945476351,0.2167806643138604,0.16865720852182567,0.17260873891594922,0.2049303789261435,0.2039947501659723,0.15902280544294983,0.19392766424995664,0.23007415298487843,0.19278862409405761,0.17202991265672313,0.19607809513771984,0.1841633446861877,0.1769517638357491,0.18610729199221998,0.16813829754924428,0.2567830844874334,0.21554380988423827,0.2195935422978053,0.22689832926772877,0.2209209753124308,0.1908594167872603,0.1901251409583769,0.2829026534602362,0.19089327772859369,0.16886840903297676,0.25041858447284043,0.2328781851360456,0.21692896103296755,0.19717708807469955,0.1615542860572041,0.1858318295730009,0.19122464820638466,0.16781966078908445,0.19144937018375116,0.18265124296055532,0.2017316259618845,0.21138691831210382,0.17960449635331152,0.1800064961863245,0.1952942724452475,0.19642567692184584,0.20097497726294508,0.19668377907564444,0.17360023076778966,0.1818709896754153,0.1720750567757247,0.1923365309518407,0.18545259106985218,0.18715440696770305,0.27101379269358583,0.2188485975491836,0.1964219893724137,0.1497222473534067,0.18082937049204761,0.17968250335322972,0.25607601862382834,0.2781309020725749,0.27507285035731127,0.2355308324828635,0.2961473758898958,0.19596094208682216,0.21691701270262367,0.18413143194563425,0.1959764754525268,0.17741448924279363,0.1817093649935651,0.25712054083646835,0.1789643514921993,0.20549095922589575,0.2144522027989954,0.30367552103768125,0.20816555858824756,0.18990670372469803,0.19377339377200906,0.1868037114451357,0.18971146552260287,0.24721926813007597,0.18425105943539538,0.1765770113888867,0.21456598869081486,0.1935999882429315,0.18863950987953435,0.1911756869609652,0.18719017501961321,0.19510064793633985,0.19243824012251573,0.20245275827374762,0.2420814662725631,0.18032128869091035,0.20969593654647203,0.19476522029973034,0.18326519952206913,0.17291842583862,0.21915798222850816,0.18548878835972762,0.18599919900167922,0.17846587501458702,0.18142706433942637,0.23430855405122866,0.23430422270935877,0.25485527696875054,0.21466013173275947,0.19375354625531022,0.18995712565622377,0.2038182467812467,0.1714497876247962,0.1789223117858515,0.16359457009808923,0.1787718631137377,0.19123850237109555,0.17524619815093537,0.19138125295413044,0.21673222978321507,0.18275405808902978,0.16188448234427005,0.1816947524794226,0.18183045696026776,0.1694760000250666,0.17171442921849905,0.17124283855787578,0.17517574751436268,0.18525548495588193,0.20373879994225627,0.21141633230818624,0.22734394724020446,0.1976805898732494,0.19191388252167776,0.16384066983686688,0.19391246691796496,0.20553834601815446,0.18739724709566052,0.18270870937155365,0.19123591759722003,0.17776231033340809,0.1909962643914087,0.1865595333027651,0.1700323339988006,0.18755491124181004,0.16970413915382945,0.17708264620595968,0.18985618680595753,0.15888591234290914,0.1571596564523042,0.1901112871493942,0.19682382406123575,0.19963358969148493,0.19481453341628438,0.20326161249146088,0.19475543376946994,0.16167173247270372,0.2048992734654314,0.20170363070209588,0.1910567258404521,0.19784144289463027,0.18946843482844233,0.1910474724254859,0.18600405135828285,0.1903033114299177,0.1916695576661099,0.18943954131733134,0.18227908644258464,0.19188907726463408,0.1920351951701648,0.20299868715091435,0.18907039332263934,0.1890145301400382,0.19374935514538122,0.18469027896888854,0.18737489307040614,0.19096404586681617,0.19025010885586377,0.2017721934396224,0.1901632855336235,0.18935711669240302,0.18220539704112004,0.20430362929450183,0.1896332994015911,0.19096108262009476,0.19012001211506488
+8,0.3435117804348471,0.2685708363069964,0.2822869556989168,0.2568563960328617,0.21554532883008834,0.2730414254088614,0.3047878392405101,0.28025129277262906,0.2700237749636539,0.3104947205995044,0.31022916581211146,0.30755929004336524,0.3043089426472296,0.2850554217419311,0.29153789925537393,0.3269590342757235,0.30600415730236835,0.28476912685980654,0.30850795634784806,0.26633030227009985,0.2998214331109688,0.2795816846452145,0.3121463534770254,0.2621666605020745,0.0,0.3114467122599296,0.23714679416756806,0.2599476431912058,0.3052135089353672,0.30923375139429377,0.31655684204598916,0.2404560057165451,0.3016340112253804,0.3072108798569375,0.34311932258595307,0.31193337898432044,0.3233950702334037,0.2905933859474982,0.32881737347531353,0.27778056001505363,0.2832588872591757,0.2411849165852258,0.2660055566847176,0.28244321249869364,0.2722008267882048,0.3196102735698621,0.3271202898350396,0.32487302735801843,0.32515208322897804,0.29456278898054294,0.28155114904351597,0.3011192701143487,0.284584186101312,0.2913900794773026,0.32093327485166334,0.3333040507387096,0.30485983928970883,0.32826863271674217,0.2587455422102533,0.3153036851730336,0.2952185528199657,0.2785069245278337,0.31256631552476544,0.3057350819008581,0.29938641387177467,0.28466302760218,0.27425582815582106,0.2962440973480163,0.3107615048719006,0.2975534699732108,0.30058505723029044,0.29307397191349505,0.3255051900443169,0.3293893649947784,0.2833915898796735,0.3007215062786671,0.32798263251792953,0.28493604485164625,0.29976420989537245,0.3273702118973732,0.24569088004939055,0.29343197637921864,0.301852471483099,0.29029576059105794,0.2933045863397354,0.29821044956155807,0.32361374197930093,0.3133555057638865,0.36098284946154696,0.32542113517239973,0.300437031079304,0.31817986572099205,0.31142340579226563,0.3014775026175579,0.2963285549169441,0.27683149879205665,0.2948239933487443,0.2776407856716624,0.2854874138416655,0.2894131664254128,0.29535203655376646,0.2777986575257097,0.31983184416071964,0.302685534534315,0.3128054237505255,0.3007022553653744,0.32834229135703047,0.3106007091897989,0.31964114138617666,0.2899549509602105,0.27278136977232087,0.2965221281904563,0.2986550025722192,0.3075891571952271,0.30582515369991786,0.3022551637647324,0.2960933438346827,0.29478497969245804,0.2650962788554265,0.3076228905643414,0.2963131546346642,0.3146008622820433,0.32149895733895023,0.3325379239757319,0.2891205954424431,0.3384197172357244,0.29491705780764754,0.31791728289019544,0.3191818721102904,0.30427498335760866,0.3270282729676624,0.3119717391316597,0.3126926644400343,0.30180509858388743,0.31913106075298414,0.3224920539193962,0.3469006406650248,0.2908545601310547,0.32510763511084667,0.3288194818447463,0.3092962638997937,0.3237053625091808,0.330399935031635,0.3194163440888971,0.3082636229089926,0.32160749790322885,0.3238349571937402,0.31968480861562537,0.32354852375752813,0.3142508383031504,0.30791417570651614,0.30472758247529963,0.3133178581557307,0.28475928844845333,0.2922771097180565,0.3033846379633172,0.3264333410772428,0.29198999905772816,0.3026292174069053,0.3239065249823259,0.31025027131469535,0.32143196311086947,0.31597220188008607,0.3172012424887724,0.34228233278463854,0.34229992789924396,0.3549122476455493,0.3312802533063244,0.31962857956335405,0.32270374771139476,0.32740200208799486,0.30326073358679784,0.2996092845726327,0.30352225715857545,0.3078143681380088,0.32489020557313264,0.28975004642789737,0.31283376958398484,0.3170485081813093,0.3167693094389264,0.3150620824659089,0.3185990326224219,0.318826113204993,0.3203481935052673,0.2920658617515058,0.29785889664469606,0.2914606698829123,0.3173307404928436,0.2937705289762225,0.31018812461922607,0.32655080301041756,0.3260330066065466,0.3165898430352941,0.31389054084594675,0.3213826167994104,0.33239846326020406,0.32511383520799875,0.31652506098079053,0.3243309667383451,0.3065953972045569,0.3189165105195417,0.32003748440666435,0.30836675382712453,0.31427963393958397,0.3107204375453899,0.29758579869775603,0.3230338895835251,0.30797035666165884,0.2931548331521646,0.32492421372087904,0.3149266528706094,0.3295533954380039,0.31641180323254586,0.3235127361828004,0.327914830694789,0.303651724626276,0.3122247170779644,0.33099461840686045,0.3246522984122883,0.32826816620491595,0.32344795930582787,0.32502752589794986,0.31886827155986536,0.32465971224258583,0.32129227694513507,0.3227702762147221,0.3184492736151855,0.32585752777385946,0.3214660761576502,0.33110401125312106,0.32387745597274836,0.3261215266180518,0.32492242187929676,0.3179750891854054,0.32284829411268207,0.3231231493078019,0.3250975709515521,0.3305822641166844,0.32490985408706935,0.3244605049710123,0.3064519365328381,0.3244782984342293,0.32397277788685697,0.3244877777877774,0.32477841606398256
+407,0.4236572128578452,0.28229378955939943,0.281889235376361,0.3045824568563025,0.24060760791818878,0.3180667659850228,0.25381660703771947,0.31294125239108644,0.2969849915540452,0.22944270623123125,0.2439214716235604,0.33041055793594337,0.3810861246376402,0.33968769210648325,0.3350250169428119,0.3993514011868191,0.32610518438793257,0.3145753910580383,0.3665377943348358,0.32673449949896,0.2668057003906724,0.34495487985459206,0.28339311465817546,0.3222166782543319,0.3114467122599296,0.0,0.32114322524655453,0.30961245764028333,0.3144504797429144,0.31103530385413364,0.3362171827616067,0.3487126732159872,0.3415872425848481,0.22341203530310677,0.36532300808948326,0.3385809561473656,0.34657640694793795,0.3247461649119206,0.2600974859897419,0.32312015449751147,0.3595754969057843,0.34626034852382753,0.31697486392173047,0.3581705283146519,0.33950814628700693,0.33913907195958426,0.3500546010599743,0.3497594203153062,0.347096908695082,0.31349479462828617,0.3522731868552338,0.40224682267446454,0.3705833441873836,0.369315230250333,0.34497139592615084,0.41295733089195924,0.34359638468726156,0.351377456837299,0.30001165100887106,0.31215731538205527,0.3444542975198033,0.3427330225814109,0.3637884641178199,0.3425858218007557,0.3363578543823149,0.3309137832002046,0.3526126867844412,0.2970165469624477,0.32709981225573576,0.332794516084582,0.28108660876413055,0.32968052858890107,0.3479027170190432,0.3719609953721729,0.2657615715977803,0.34189326699360056,0.3499820632925519,0.30121536892167555,0.32275565205098655,0.3614163874480273,0.3352637371686543,0.35839140199405745,0.3520911016937916,0.3546565737172438,0.3529425896216977,0.35897580892767095,0.3443786619116396,0.33603415308131407,0.38298439901900017,0.347115656077879,0.3287122786006578,0.37684516505572424,0.2844220912332671,0.3429329394471786,0.3484944355495707,0.3259331049429073,0.3114451686467112,0.33851329822305637,0.3300056866435836,0.3539185764834972,0.3410767750548791,0.34718305714357833,0.34406444276378056,0.3353983384573955,0.3407106869000189,0.3331782622556085,0.3549003729933429,0.3407968679202786,0.35812535719296557,0.3306768394816602,0.33926418405221653,0.34308329885780153,0.33617913399368404,0.3147411819860689,0.2844026898469059,0.3708895684353854,0.34676241794308044,0.33988137704573096,0.3242113397226256,0.3331229573748787,0.30577196037130583,0.3864767712641476,0.40171758236161603,0.404310816109741,0.36557418267264485,0.4151212343426684,0.3293732863322118,0.35852374314148433,0.3455194670267958,0.3351804431182802,0.3540883570410143,0.34376568168700744,0.3888892108746018,0.3398398993616588,0.3456259277363475,0.3622724045677539,0.4242328384173206,0.3568754831033612,0.3411085907515781,0.34925815554746864,0.30434665076869954,0.34628076171724054,0.3829263215178264,0.344831756208423,0.34107779198444765,0.3620294582687166,0.34897387452439377,0.3418921800578282,0.3418825070206024,0.3381259158108068,0.34070203097198964,0.3310991257329713,0.34002488761082994,0.3728227876836002,0.3311489154615162,0.34796306839251917,0.35926400780798373,0.3282029021599518,0.3199359951335905,0.3671072415324913,0.3428683558307147,0.3413719923182175,0.33849051224551824,0.3424951891714672,0.3545352917894344,0.35565212516411815,0.3655036017859484,0.35026610201061037,0.33941433702344287,0.34553192667934274,0.3536583437640517,0.32555216676234766,0.33656496680068076,0.3491569126240631,0.3207910437808972,0.34789926587278364,0.3344283785241459,0.337503533175876,0.27587140581477665,0.34004766654545776,0.3415690609295385,0.34371305607453795,0.34490777056094446,0.3499876912574251,0.30064145200957987,0.32873815382230265,0.2694835437849399,0.34374875835153845,0.34836656775667196,0.33667061996023845,0.25570914382128707,0.34453977757174936,0.3368023992054752,0.3469316311684209,0.3465407029465915,0.356772316346891,0.34793194949178907,0.3404676373069764,0.3467499336568323,0.3285973770628411,0.3481321209754229,0.34278128206054925,0.3366865442392709,0.334646415339675,0.3425373286590431,0.3399656981807503,0.3442573046332881,0.34614869233820017,0.32789306660631634,0.34640005708778504,0.3452120467473981,0.3525779446154634,0.34551706744986665,0.3352188027959772,0.35031107944228956,0.32839798192319664,0.3411950642156514,0.3530859408734431,0.3474029385112195,0.35062760309672975,0.34506144022980045,0.3470353441983681,0.3417226147151569,0.3467450479753585,0.3463022852632793,0.34617096494242516,0.34296539659760333,0.3476387730730222,0.34553496458399646,0.3548976545431234,0.3469541006942151,0.3483219051742576,0.3426811475673459,0.3392795599941915,0.3454344711041083,0.342809358794465,0.34687842489408227,0.3519505801820227,0.3468940819434223,0.3458579575627003,0.3375128952380753,0.3525575813217445,0.3446558347528825,0.3457678361869859,0.34653870755204086
+252,0.3553629047774505,0.2261530953143371,0.33798835271152106,0.2154901026783658,0.2565129881191344,0.20794942148408427,0.2312682930544601,0.23681155864117742,0.22728900867934526,0.250140723119747,0.2637961813180588,0.23631608332764656,0.3010867232704567,0.24471724797000236,0.2347544530424066,0.3202591643222406,0.25535377045166346,0.23559740032524648,0.2794531025149271,0.21534601282576274,0.23920257804038708,0.23322267284626888,0.256693638189121,0.18905589724357347,0.23714679416756806,0.32114322524655453,0.0,0.21022229965791345,0.23944832082101175,0.241733009951307,0.2423515269687783,0.18477520362702876,0.22119512770507943,0.2529529743035039,0.27427681537451754,0.24276044021281099,0.250634501043743,0.21928108607556487,0.28680958208698715,0.21874839275387797,0.21366372871074854,0.16930125024895112,0.20760124818206202,0.30072096214036337,0.195923480595823,0.248597414772081,0.2522916937780887,0.2562886434319487,0.25032944734303775,0.24940065538889908,0.27965854025779957,0.3292289751536236,0.3040869430979412,0.30421681260091565,0.2492960902492907,0.33452976185486816,0.2373794978068968,0.2605706014203071,0.2039166229525688,0.23959999115850392,0.23140593299502488,0.23506986422915252,0.2303925214726288,0.22385152889716647,0.22023781623023678,0.19562745413040264,0.20742703854464725,0.23980039183145568,0.24754472762851165,0.2321739427010191,0.23575857734028857,0.23314205048669062,0.2554464523775539,0.2844844771825665,0.2014092431550103,0.22924705457137476,0.2593021621722688,0.22164641112583675,0.2341897741614074,0.26066840828912335,0.18448985204375817,0.2809567658602999,0.25942432139067617,0.2428015921984449,0.25473980312312283,0.25920239499337117,0.25268353743795907,0.2476659617248936,0.30318543901295697,0.251850414490776,0.2321459944370565,0.2907689820307971,0.2627310295926957,0.24721157998354457,0.23661957325505412,0.21212174747733126,0.23167485633914248,0.21069655743899282,0.1918206944490326,0.21154225980326385,0.22385164925096673,0.25355036842330875,0.2534508792254564,0.237682100106826,0.23728825664942924,0.2434038413055359,0.2619500309431286,0.25628573488342593,0.2631945110499392,0.2335081294451782,0.22064165394515595,0.20624597562829736,0.24385904348712006,0.24433503603610607,0.24160866135266199,0.2878074562985993,0.25523416037393215,0.2376238573730479,0.18237066716642292,0.23294176994353608,0.2273655173003089,0.3079083309519345,0.32768527546692416,0.3273191365351981,0.28907260097680443,0.34112538620714344,0.2563695799283151,0.2697098936652224,0.24365286832336824,0.23511924519386468,0.2569142974996328,0.23931895298032207,0.2705757830439854,0.23388788557537712,0.23852641786554815,0.26952798050758736,0.35042421462301443,0.25185716983578305,0.2539059554236004,0.2523701951204148,0.23930604940046468,0.2536848404152481,0.30094342114871764,0.24662909698212573,0.2355423128960465,0.26311791294223363,0.2552341987483714,0.2518373141271674,0.25128874381589933,0.24234286285859932,0.24964884855599687,0.2508955520874405,0.24029445986111792,0.26209353245399064,0.21007153780785376,0.2242526610954728,0.26147465539721115,0.226000848731095,0.23359613563269685,0.2662904074793285,0.22911532167627646,0.2505830722408216,0.24638536289808363,0.24657134787849191,0.27873263406158894,0.2780551317756669,0.294265622071709,0.26375429666995254,0.24951913635627734,0.25423607151089705,0.264377481832501,0.2282641825950645,0.2187570302889639,0.2150109803057018,0.23539157452564846,0.2564001133683306,0.21643349397937284,0.24015794503060298,0.25556545236001654,0.2421358493779361,0.22178507128251113,0.24140167734935555,0.2495753298033984,0.23582159772767142,0.20570183540440545,0.22698904029289263,0.1999400649261352,0.24584375501339198,0.23923146966439718,0.24642762069596114,0.2625030690220059,0.2490224848934093,0.24716581598810275,0.22372021156150465,0.25526757736858935,0.2664049748461549,0.25478855858637306,0.2412713085487548,0.25408270447798853,0.2330515279689736,0.255201302491178,0.25004356283383844,0.23446944054245655,0.2449992784548533,0.22708887124826097,0.21433059695533624,0.2477277884199783,0.23117743887990094,0.21489830991331402,0.2547633405322945,0.24584712439964548,0.26360356089001763,0.24859528630405195,0.25495714233794464,0.2533960468043837,0.22692845846213078,0.24246160027621785,0.2575828634667482,0.2557305355768962,0.25935420638516415,0.253626291633134,0.25419423796512874,0.2470598422035715,0.2532858067926055,0.2525372724503634,0.2537820400469528,0.24641521336186498,0.2561876284165618,0.25445072908495164,0.2630691216532058,0.25083780662880223,0.2551608506968204,0.2507896370796398,0.24663010293806195,0.25214183049013966,0.2519168057989145,0.255286925919246,0.2598364493283689,0.25525047945674,0.25427175103429994,0.22877483130585352,0.25428773742940924,0.25285995149577073,0.25339368232957526,0.25312385967618534
+104,0.3578513873042699,0.219203170273449,0.30816328741375154,0.2060714042404245,0.23889141953381973,0.21963046349949245,0.25906304903551086,0.23974209240883165,0.2216619735169258,0.2591030665223662,0.2541497182487921,0.25696645453959943,0.3106528647230926,0.26839995525754795,0.25621787108865146,0.32859061281654706,0.25337980840304014,0.25877825507416446,0.29368721192536185,0.2418733652792606,0.26788964383948904,0.2748053190753121,0.2614099196524446,0.207881802626369,0.2599476431912058,0.30961245764028333,0.21022229965791345,0.0,0.2524544220371175,0.25521645720979874,0.256706868336389,0.2615447829478777,0.24687999416578132,0.25826678151742666,0.2838297958743196,0.25220576872096967,0.2681280112406316,0.2418678470114372,0.27259763044418456,0.22836157897229292,0.2434750881250584,0.23609427510974731,0.2464025861127749,0.31174053245934974,0.18917164713856754,0.2609635541872528,0.2712316261903579,0.24064560148099004,0.257843036721764,0.1773194953335813,0.2786313574751997,0.35341732664664394,0.3213303992864437,0.3164572084033133,0.2672534203070305,0.3411676498174024,0.2444055998170044,0.2714931900622818,0.23156875067149255,0.2618660907909081,0.25216705292735314,0.2694214385083464,0.24003074507420055,0.2125379241315269,0.2317971924736197,0.22361133796731986,0.2461522716944741,0.2415888767484187,0.2619557196480701,0.24980711403706946,0.255447667026137,0.2492731629048038,0.2712189563092956,0.29498118819363545,0.22245617618158875,0.2364841461531793,0.2726383701433792,0.2353776718948956,0.24313401319854666,0.23405587424081062,0.20238305312477167,0.29644665958514266,0.2616672923836051,0.2705649591342323,0.27967542423813335,0.2807915183242431,0.26023788763741607,0.2518093583627565,0.2925526436456674,0.26573651271808446,0.24256059569311567,0.30679925236737593,0.26717421147560333,0.25848110805667607,0.23949766280786805,0.20861196344798277,0.2585833498894542,0.2435239023380105,0.2160169845757486,0.23326231115123905,0.2555084413554419,0.2624575444126053,0.25673150447543647,0.2487186161882808,0.24649520833172017,0.25147097204021074,0.23727719040018863,0.27367750936831053,0.2818409789385814,0.23737052970071895,0.24342284154316432,0.2347429945446178,0.2670531469175787,0.2517075346672404,0.25570018524005544,0.3049592526749513,0.2730861581923689,0.24692972343724978,0.16631819771284861,0.23363412124055924,0.22120471452833285,0.3200151807444991,0.3313476930356144,0.3348658704565449,0.29934972982923447,0.35228881229324244,0.2640764004606764,0.28028070819792944,0.2522712191281754,0.253172050050882,0.26101758122951696,0.25602262801063885,0.30275837193064525,0.22646041669756894,0.26141431143626703,0.28578801309616425,0.3581525406288896,0.2709944060753291,0.25880130315554717,0.2721751253497767,0.248327643976995,0.2684049712199045,0.3081122962484208,0.261669056647578,0.24843506682458236,0.28030078859175783,0.2659293479249095,0.2643223178492598,0.263863175331629,0.2557959368445725,0.22777074652015009,0.2653903594329861,0.2586019305122059,0.2717923552992115,0.2240317444718752,0.22464210126406237,0.23312807633600896,0.23352617246683255,0.24846957092668767,0.28255467785888,0.2547524700254213,0.2598517647483796,0.26154920754889704,0.2605466060454009,0.2914192884693897,0.29025054756101504,0.3056116507325569,0.2700896285922474,0.2664966242811868,0.2683349883067021,0.27556279742936,0.2318636845237042,0.2439609425136688,0.24706654884010656,0.25280262026631056,0.270167914209732,0.2509847743039344,0.2490239614861227,0.2589479628619561,0.25842384723298434,0.25402874717639995,0.25548893202987316,0.24689725091021703,0.2608357420150929,0.22250350053352055,0.24539421574360604,0.23031626367847757,0.26107187484617966,0.26902480651006205,0.25788215202501036,0.27184309420799274,0.2683782731649638,0.24484461012929873,0.25586625445282196,0.26749130742260907,0.27647306459594245,0.2585810870430479,0.2582878555239802,0.26713760224662725,0.23514644902062928,0.2510543938427142,0.2633071500760897,0.25303951273097436,0.25438721442081746,0.24862262882738922,0.23487293481533114,0.2648041858109589,0.25637699250078266,0.2223654017360797,0.26890905030131246,0.2652480646436402,0.2759146205658209,0.2682760811576964,0.26777999237884226,0.2681317266972958,0.24220138072052405,0.25256112352399107,0.2764806696147483,0.26985062563692425,0.266830279166768,0.26384797437413016,0.2680340248360055,0.2601236322375493,0.26837171365299206,0.26629323082624523,0.26803653912440306,0.26454476505518176,0.270300063034063,0.26435017161108404,0.27879596947873564,0.26735870666948314,0.25952348447096985,0.26447363504891114,0.2587679703720678,0.26435833241099,0.2652852156793554,0.26863931198340907,0.27634130974675436,0.2692522202307344,0.2679921301565165,0.24435846719566864,0.2724577480721717,0.2636519818626491,0.267519044309277,0.26922385180031233
+146,0.28462179129282444,0.09864459456820487,0.34036852631990755,0.15673248695690628,0.29132095427300725,0.11147818221826525,0.28713186024435294,0.1624765207522641,0.1493224912539182,0.19314682611100614,0.19998153399215227,0.07667431551847302,0.28305759302391825,0.19890662008697071,0.17062577635380044,0.3021980029536573,0.14802423672467527,0.183318527471345,0.21256297516533604,0.1864618819616056,0.2208307980780807,0.22835962462149967,0.18778050116301187,0.17150109000314404,0.3052135089353672,0.3144504797429144,0.23944832082101175,0.2524544220371175,0.0,0.07850308258020117,0.09504818043239988,0.21996157773118996,0.11084279969881704,0.16739805214537623,0.1387226422039997,0.07022144656947928,0.0785613328036535,0.1551581394056837,0.25231881189926164,0.0947477779136902,0.19628269161459944,0.2126794296361357,0.10518133079460436,0.26221123807410035,0.22305506381857024,0.07325791591603055,0.08771578742541461,0.10805377895934411,0.08299126710438086,0.18478690043790527,0.22491525533323334,0.3109609410097308,0.26504320737664666,0.24952556990056882,0.08372329252184842,0.26318047999165034,0.12284156276152777,0.09217606701309507,0.16571740463367243,0.13194159533492142,0.12366018712535232,0.16213157267289624,0.20835213794534185,0.16386870722632418,0.08239134744687021,0.11434749674333725,0.24553220642249055,0.11214027610423291,0.10261164539144124,0.20212468246780974,0.14741839546737362,0.1182770410616907,0.08357419978617399,0.16616310642245125,0.21576922776556695,0.14941729454086708,0.08611403159299336,0.14125375010973126,0.08677292589342743,0.17331519971556375,0.22626008949903847,0.20130335439456498,0.14110477701866264,0.16303191552421373,0.1632913847403325,0.16739440954717802,0.08200293971068469,0.08901987675457751,0.28873014928269786,0.07779088002291452,0.09129175902622697,0.23566410721956266,0.19246890646033576,0.15789750323590246,0.17927648947706293,0.12791997394338703,0.08882445215892043,0.12375145609931605,0.12175364211358908,0.16637953930038904,0.09370979179247486,0.15941717414798656,0.16875426045451455,0.08509207684660575,0.10982379128705447,0.11767174365623377,0.1243404871235425,0.11320555896770919,0.1438297048507641,0.13345618599135067,0.16608894285196338,0.13410521346983953,0.10633095536993135,0.08910260272542678,0.08334235890305627,0.21952379239362593,0.14596144483231807,0.11735937522677212,0.16092406386549257,0.1081914463470237,0.15233171165949036,0.20821421837792872,0.24126236024959596,0.2356474496541166,0.1925938106461964,0.26150202122098204,0.11793516886155896,0.15806891033559675,0.1099952793722831,0.11679749023045022,0.1336302390175573,0.09278866808727834,0.23739893731541262,0.14074080004476075,0.1391758055617227,0.137421989755936,0.27357881645389137,0.15783988196966478,0.07880117462210931,0.13606352539548253,0.11223278331901988,0.07677235105402386,0.20119888116739945,0.08067657922238904,0.09080092356027544,0.15191186098680928,0.0882786314460413,0.0756781963627644,0.07701092240582032,0.08544870085216419,0.12692145031314095,0.09343870501931956,0.1312501706737774,0.2729567682262657,0.13465795993528304,0.2058436659294417,0.14766408355881067,0.1769879862127402,0.06237662148238975,0.17718866120254576,0.09925762168885388,0.07757929700711788,0.07557306149258787,0.0783805513522267,0.16246097424822079,0.16283922418221894,0.19445063241031782,0.13608969178088276,0.09576619313281941,0.07524850716935944,0.11362591293590749,0.08764684152302446,0.10175940567274493,0.14106193974589237,0.11154811890984057,0.07694869485797744,0.09054750148790805,0.11573305812874701,0.15801078607529712,0.07630052728619179,0.14584108499083745,0.10100623595319605,0.09034681916176976,0.14044924454759963,0.14450216554254194,0.06805968709269675,0.20995574958053925,0.09033632528367655,0.20724671255334487,0.14967113922267006,0.16224256391833908,0.09651972595403584,0.13065880281842165,0.14790223474871875,0.0868889591633844,0.11277971443772829,0.07763151641416907,0.07733548866715192,0.07583395484231703,0.11184375532834667,0.09188644101258228,0.0728134970523313,0.08257272610618609,0.08954586071084392,0.10550052590036609,0.11837021826005382,0.08179823412841296,0.13094948497884676,0.1113080123486831,0.0716516247658779,0.10697259033731116,0.09920926669532458,0.09008775887456914,0.11189354829393791,0.08820935318554242,0.07989197872447928,0.15707678615000978,0.10296503494133384,0.07494581444347845,0.09658899608644057,0.07470294289489328,0.07683587347651807,0.07244271866767092,0.07366621750957297,0.07925541475610809,0.07270123579150436,0.08883989617121425,0.0756990836832808,0.08006205048682548,0.11013545791257093,0.07722829413929382,0.0808857836653378,0.08765186975257878,0.08085146145546661,0.07484836694047514,0.07919859585116923,0.07206648512765436,0.09954641302023592,0.07234599159421264,0.07229712337878355,0.17691827039422042,0.11708426662631663,0.07366941791375134,0.07505513107639783,0.07284749309441352
+175,0.2864367456357684,0.10844590481736492,0.3458754137634391,0.17769254763957823,0.29585066461982557,0.1183599179189396,0.27150687800324336,0.18134158752542873,0.1551932234042246,0.17892085043446174,0.20371168110026946,0.07628465303144681,0.28369406908795775,0.1973184766018675,0.17322512581573493,0.301990673569984,0.1631748120916971,0.18786414896373368,0.21203382095779807,0.18537486249854815,0.21690901646815594,0.22605895478705829,0.1836822202860192,0.18465657342535283,0.30923375139429377,0.3110353038541336,0.241733009951307,0.25521645720979874,0.07850308258020117,0.0,0.08248522350259148,0.22260514974036708,0.11030684008431549,0.15614756974477922,0.13748076567878323,0.07096092075132628,0.07661207367400494,0.18316666209715185,0.25825459577470616,0.10841146447294558,0.19421681785860503,0.22012545169929346,0.1193481262167062,0.26364893636364084,0.22766521328460101,0.07660988992732644,0.08577560313349485,0.1107724082290216,0.08382281681528195,0.19162576838169515,0.22538527895981778,0.31166850355511594,0.26575816729892315,0.2493781680493585,0.08154718514250504,0.2603571722570963,0.12172054190655314,0.0897891813260877,0.18691357903347755,0.10794113464283692,0.12391530117693454,0.16064827664158185,0.20876142964172473,0.1679666284247174,0.08233218498293204,0.11733137844642368,0.2678355220158795,0.1406928371880917,0.12674137856707052,0.22549105722073612,0.12348692993777391,0.14493225301116375,0.07434397367954672,0.1661792052556008,0.202096820048478,0.15003627856629462,0.08369147624665316,0.16066509105889462,0.0968313154258184,0.17583058109308333,0.22992877213840401,0.20224735400972105,0.14275307003877757,0.1620720913660736,0.16266335544998725,0.16534141239884664,0.0800543889441341,0.08969323707384899,0.2906837703133032,0.07609867735330758,0.09332630902699092,0.23472922514123448,0.20101059617579173,0.1581864078523007,0.180277308023532,0.13113208042152372,0.1084310168085354,0.12622150003784582,0.127573917105176,0.16400225721190492,0.08924777500117279,0.16277343417262322,0.17373760079923362,0.08314590263179004,0.1131606905080412,0.11284038913990938,0.1290945463691785,0.11047128520445408,0.14365010210451998,0.1346433774289448,0.16680930202919936,0.1358947945719201,0.10444611713784042,0.09606475187613235,0.07974431352596098,0.21925889147792524,0.14672514407261183,0.11675501686912503,0.16585111674477335,0.1109876287820654,0.14116651044256506,0.2083349780326705,0.2418104939265637,0.2364047249501783,0.19526613365802542,0.25994474387501115,0.11722302518193108,0.15667035865575019,0.10662189825892024,0.11229454493323128,0.13412713715259741,0.09137295554931169,0.23555112159881667,0.14486334049683813,0.14446526746105698,0.13288495997306105,0.2746646649250006,0.15807673930011948,0.08429126315177463,0.1311033130839555,0.11058425038070632,0.07473307102879832,0.20264964053109719,0.07762188430747967,0.08792590985200205,0.1499572574066825,0.08623453626781466,0.0739607365950035,0.07751159482292738,0.08537147887518146,0.12817882978717907,0.09907554665048784,0.135804448916212,0.27383740393587913,0.1351790336748222,0.21488517134499663,0.15113350351891092,0.18054444671459058,0.06555057085871666,0.1733809385716837,0.10053630227046675,0.07754567786547012,0.08277003987011033,0.08355788795927459,0.16997220834987814,0.17036965204326848,0.20214337038150473,0.14267763551041696,0.10322539597046279,0.07316267767568269,0.11368252618711691,0.0776313447096125,0.10578302291755759,0.13787994971465975,0.09422234911970791,0.07438950213774446,0.100566708555393,0.11328918736040884,0.14355459053952058,0.07476136491464418,0.13943098619246533,0.09846061419142899,0.08967696000425715,0.1362282334415855,0.1344974324959535,0.0736147525511556,0.19192877750965323,0.09293417720040748,0.20668537007811685,0.15089941692978193,0.14448662256595546,0.09764154509437419,0.13239787596622352,0.1426556543782462,0.084368824328873,0.11240688149672069,0.0787560685237484,0.07635808805480566,0.07321593411443589,0.10963019102185637,0.08850118772221485,0.07171633529429591,0.08544926654435465,0.08803744089837275,0.09905980743444034,0.12194841973751254,0.08050253154334404,0.13035924676105468,0.10926989561026308,0.0689546353212088,0.10542620210567775,0.09709862799423864,0.08633297857865893,0.11457392303539606,0.08678297942025981,0.08394562378821896,0.16341070504201252,0.0957123832523499,0.07214981337793641,0.09393712638356143,0.0727779302916599,0.07468528317971093,0.06898926963915329,0.07126099018295663,0.07626797443708659,0.06991142207723021,0.08161142942436621,0.07301152372478656,0.07553423398663128,0.10946088008788159,0.07520574072604012,0.08065686307268768,0.08363185822930617,0.07993589878956975,0.06833054598184132,0.0740521931671753,0.06919219348481506,0.09711967665504834,0.06952391401518522,0.06948477644002692,0.1768008965642861,0.11420514119722694,0.07364048915116035,0.07390249228081394,0.06996872376698038
+187,0.28502411493962193,0.12041503032108153,0.3658695046221679,0.18439157405122783,0.30637187607166905,0.12215164427938346,0.2834830543782386,0.1853984249296525,0.1573163818897187,0.21206454951491932,0.2171532069179811,0.07820262292530705,0.28520718829489927,0.20350084032175114,0.17170427807743546,0.30271982991928753,0.15394899487299174,0.2015292548608049,0.21481351075533167,0.18913253653500314,0.23761311806398752,0.23809177873119092,0.20066734380831436,0.18139981962372523,0.31655684204598916,0.3362171827616067,0.24235152696877832,0.256706868336389,0.09504818043239988,0.08248522350259148,0.0,0.2248005860750256,0.11012930857999674,0.18615048415941765,0.135519609756811,0.07356611273894793,0.07862815002590663,0.19037183565564927,0.26809487290278566,0.11343398168346683,0.17765262662714512,0.2236176200326883,0.13031910679262765,0.2640189074899591,0.22837869881095815,0.07717312978548574,0.08386636613729752,0.10335713629394475,0.08296802577565655,0.1900200120362812,0.2214391260388871,0.31088996509429084,0.265433527159102,0.2374399315117509,0.08369841494574996,0.25893008639337056,0.12094428391460071,0.0859703551473738,0.20019162954172853,0.12627044373864243,0.12283028353966699,0.15682050590162885,0.20377757051038742,0.15946780433712082,0.08214160746734175,0.11654788429207602,0.2734058019792922,0.14854398736519506,0.11958436259081105,0.23113372287302394,0.14834466230762086,0.13633626769845641,0.07504151516088195,0.16211967792913323,0.21452528836230156,0.13724456050555683,0.05584147286543997,0.17161062654332315,0.1069646874872728,0.16618494662085834,0.22302823907035033,0.20054708395919443,0.14101705624789437,0.1475672691907053,0.16025613416456747,0.16493048974236657,0.08145531206613478,0.08939415415598709,0.27697381465080073,0.07896889178355167,0.09197963324339689,0.23380399789011563,0.2076886505562997,0.16163573731133965,0.17729431876959417,0.1343969367720159,0.12209062833237642,0.12708058143150364,0.12708230567419182,0.14263194041005847,0.08978301691758489,0.16445916581543554,0.17259290364015875,0.08546922281653199,0.08049397729706531,0.11737172966041222,0.1239082057129169,0.11158900311800753,0.14040381811869052,0.12253361423577243,0.16303936056072021,0.13212683332012215,0.10668712716586695,0.08800698467604638,0.11182308533454467,0.20792141048666832,0.14402093015953768,0.10747797862503168,0.16620246360677943,0.10746007628942263,0.1498367243174128,0.20958299416132356,0.2418640067435176,0.23472685239369293,0.1967826478976626,0.25943498509554275,0.11204683420141896,0.13137804259744906,0.10110033448555848,0.11865221265436471,0.13171803454229608,0.09079343203814208,0.22613515777919183,0.14055435104007344,0.1442220794195713,0.12936465105700223,0.27335591655291736,0.15923005044331434,0.0826102925965708,0.12762050097546568,0.08955667716841391,0.07506115457982684,0.19671407829449564,0.08051276427299064,0.08595939458284324,0.14500090035950303,0.08059050320194824,0.07301584682679277,0.07769032769389021,0.08539470823236318,0.12370249195520133,0.1031737684148453,0.13531728219307163,0.2753370694025915,0.12728371840414807,0.2079773322223009,0.14199979827691436,0.17347438574890797,0.07769143715943314,0.16756839361835976,0.10102144602379427,0.07747886598477013,0.08561454901855366,0.08250200224697203,0.17162751364050433,0.17142088542999523,0.19184268309580838,0.13999727304943985,0.10671318475251272,0.07340880211692936,0.10466899868976023,0.08423850381804171,0.10587562323786222,0.12934324910357795,0.10419046570238022,0.0725573757839111,0.10762475958630456,0.11210298064654033,0.1624538292230003,0.07516477565966749,0.13201047151182396,0.08944562062021344,0.08147064614437392,0.12846298333333045,0.14495007740534196,0.08164295932354963,0.208009915133244,0.0648389532903215,0.2003040217314722,0.15278465521207926,0.17351817821122387,0.0991647012232983,0.12885377534764147,0.13411872026451505,0.08393819819869063,0.11080184191456427,0.07897855767544765,0.07549365265602473,0.07473718814616918,0.11152133597360431,0.09436748823638376,0.07363572907685859,0.08196041593886508,0.08003749008788673,0.0913270454464019,0.12180199696363894,0.08004276087587088,0.12632093135726918,0.10851506736654229,0.0715352734586072,0.10756035208593745,0.06657558658601184,0.08653815400396642,0.11393784332931653,0.08223592735370704,0.07530344482815589,0.16398034493861063,0.09605526911266656,0.07427823719057591,0.06488595094615468,0.07326165040752304,0.07709620142182108,0.06900730616969351,0.07311664031241977,0.07707177684531856,0.07115807295595873,0.08042535579166427,0.06757629560630632,0.07893736887216338,0.10761294533739524,0.07701376258118127,0.07751553545071486,0.08645123656651643,0.07421494294222794,0.07063094258915961,0.07805124978869142,0.07179559707691388,0.09924455564671524,0.07130066628370779,0.0722198347155948,0.16360014019803523,0.11780651157577475,0.07426844338174529,0.07549084085837113,0.0729298496779048
+264,0.3505941249798068,0.21872788892173073,0.3667248363632684,0.22779993766944817,0.29993343433342073,0.20587001290512078,0.2876629447786895,0.24476967454081966,0.23023832247973927,0.26904006504201855,0.2777468325003982,0.2161772956013989,0.3179838572081366,0.24670878004507704,0.2380357645645365,0.33389938956559706,0.250887218699099,0.24456249953835282,0.27754249105710005,0.2365768557279839,0.2712907474896895,0.24705305368209443,0.2660519256419493,0.2221400819471352,0.2404560057165451,0.3487126732159872,0.18477520362702876,0.2615447829478777,0.21996157773118996,0.2226051497403671,0.2248005860750256,0.0,0.21300633684632175,0.26000513197781344,0.25610838212027137,0.22108921355136493,0.22831553948508862,0.23186522672276033,0.3089831842197163,0.20125892997256273,0.2210058989036824,0.1427096022281228,0.16145578466222862,0.23323111595785148,0.2412796219594072,0.2261968122210848,0.23200907544757335,0.23715463005230855,0.2316943709571332,0.25874523948219985,0.2629390296211521,0.24499207020690178,0.22811400943398188,0.24270438011205425,0.22576351883096313,0.3283128765787031,0.23165180040962424,0.23507943852083757,0.2216447861020809,0.2340024551288142,0.2001349741216214,0.1780455145126465,0.2557799210773266,0.2368095341775254,0.20480048136255793,0.1997698395421357,0.2300797360976281,0.2382614156002464,0.2366348399270484,0.2594529445483118,0.23171593247543362,0.22511385314817814,0.23007099973878223,0.270788195648506,0.25180035368050896,0.23640930537129798,0.23297533066733708,0.23170540544935808,0.22276509748422535,0.2592338592800966,0.23971945350695237,0.2208279226519753,0.21027628124401362,0.17978252268632253,0.18523849009309917,0.19235899210414045,0.2311928323346723,0.22724236183321456,0.3249232031511765,0.2290966379078662,0.2189331826863146,0.2905684345530529,0.27105152312853964,0.23696369063736725,0.24664830340239063,0.21804901297891283,0.2054250108740276,0.1713955310737582,0.19642441307970396,0.20540736741494833,0.1796463239001659,0.2546447768425714,0.2554455677293271,0.21959775310008336,0.22847445513616962,0.23086529589592858,0.24589618232423313,0.23248763607649173,0.2274704982336515,0.22944505790925906,0.2277906262557027,0.21827611553141413,0.2144466487610107,0.22706098420062304,0.2260843611628208,0.22160703022443085,0.20048741138769988,0.19853154584335767,0.210221750436311,0.2273110102737606,0.23637873109831375,0.29500713511588245,0.31693949403173205,0.3148695524277605,0.2799294896527614,0.33091511263778667,0.23634813954723177,0.2546798466320279,0.23213263724130986,0.19937880054699136,0.24478141226380473,0.22418254446104688,0.2564655043295381,0.23577588632220448,0.24009537818298077,0.24940885247693095,0.34229551982028783,0.23589925182244664,0.23174807409054998,0.2407079613039972,0.23122944607146836,0.22784267413775186,0.2904658830678872,0.2262886719333497,0.21740582856688387,0.2523478071385562,0.23106539860650396,0.22608914202591623,0.22984866173216278,0.22414102762666874,0.23728664632441734,0.22605444730598542,0.22367514247258527,0.2936077644878839,0.21615971645345944,0.25138374736362096,0.24970568267126306,0.24205307962211903,0.21642665030783984,0.26110731125438685,0.21385059801497847,0.22875135355618828,0.2261543633310871,0.22547184488113803,0.2654656822784489,0.2661299697749199,0.2843569974598494,0.2506227795027216,0.2314720806314755,0.22891676136865832,0.2441981554840629,0.2097439060930257,0.2041517918902175,0.22117068636012252,0.22502510778242504,0.2302066049347309,0.19015090626760453,0.22743611828876098,0.2544949107570313,0.22031441606945765,0.22794105252105343,0.22884375494220172,0.22907071580497193,0.2338439091324221,0.21755332624291454,0.20730861215602697,0.2468101962682885,0.2281215855960663,0.25075494147506844,0.23861561828217456,0.2625871925801902,0.2330235338298677,0.2403319119423009,0.2234182089185009,0.2263778035760818,0.24495297373874972,0.23053203984785045,0.22172595231021372,0.22888778393971856,0.22760010990002433,0.23015618549279482,0.22515966497318352,0.21729736045068265,0.22845555045727164,0.22163566152904352,0.2157903108258805,0.22624013028814577,0.22190356656186816,0.2186456664690946,0.22844725322526818,0.22265873184284887,0.2384706570733611,0.21756824832675556,0.23698976769393695,0.23358259082526636,0.2160649710899337,0.24742895196971412,0.23473707310755834,0.22819486457218668,0.23707217603618255,0.22896426082190005,0.2295503583749044,0.22400796191073477,0.22740450810926865,0.2234779057150495,0.2274811167998022,0.22429084136066635,0.22977543346433058,0.22663989576211102,0.23939363582549794,0.22750591816257723,0.2313584189683221,0.22968377159409376,0.22578746645655123,0.227373478199043,0.22998857045925492,0.22845865184481215,0.23407736544434765,0.2286605984204126,0.22818317020970388,0.24119974303669822,0.23971225703332447,0.22918844593550303,0.2287603846172886,0.22840910882850468
+75,0.2944480937987546,0.1334484194260441,0.3700793305387342,0.17234605219982102,0.30470272881719196,0.12346371311146657,0.2772041979164122,0.19081169439641887,0.16697879985501088,0.2210674878339283,0.22791354277690823,0.10117989555514847,0.2680667452272159,0.2058745399606099,0.18863126301100788,0.2851188325619699,0.17862492491396117,0.20595336825961097,0.20295564406854982,0.19044509722838693,0.23657487073276212,0.23397737917741704,0.20478885576126,0.17495949404663202,0.3016340112253804,0.3415872425848481,0.22119512770507943,0.24687999416578132,0.11084279969881704,0.11030684008431549,0.11012930857999673,0.21300633684632175,0.0,0.194395149270148,0.1508811005727276,0.0935141441257737,0.09690979075977829,0.18345264709542025,0.2724311850135762,0.1153067463991363,0.14934846144575586,0.21176091990568555,0.13258216284085111,0.26889283274227543,0.2231941716284022,0.0942438464725363,0.10844849354945028,0.12522809838091759,0.10239258769873055,0.1961852462872589,0.21895593822372794,0.3114107833275047,0.2698513515326645,0.25467881860197283,0.10383169224168702,0.2679100963581537,0.12762376140739598,0.11095448340794133,0.2029299968676677,0.13968262103664983,0.12761684039960997,0.1650690447350459,0.18328889827070596,0.1532648182597928,0.0877670082029487,0.09737113521795164,0.260328571990487,0.16054496043821112,0.14824336049620782,0.22709454494310263,0.16381339367795197,0.151380204435647,0.10244799842145665,0.17945806728349303,0.21052623463564635,0.14259287639452378,0.10632359806839184,0.1752937638475431,0.12431212165085302,0.1696536563815176,0.20735852442787034,0.20882066038327032,0.15232863526134058,0.166106118821819,0.1682354241614836,0.16963373658724326,0.10544702349572702,0.10864550529164739,0.2879234789095192,0.10074362151188605,0.10496773233637961,0.2213399991641986,0.21187117861891994,0.16863733395125313,0.15335151004795278,0.1029407806663983,0.1246126418074709,0.12754798185935728,0.1234406092177456,0.1559638928498246,0.09801161483048565,0.1688286447474285,0.18093054885923757,0.0977493350393689,0.12030530686928582,0.1211625079449772,0.14061370947545207,0.1260126963706749,0.1521985177483651,0.13643131289107793,0.1528940560728263,0.1206739535529007,0.11873241662213102,0.12610353823694634,0.12811616805834136,0.22516062893548336,0.1563528250332814,0.1252576942283386,0.14962823479835005,0.12266486723935718,0.15136073124300226,0.22017301882238532,0.2518114511661914,0.24556319916377847,0.20310041866233147,0.2705114621401897,0.13164432607936746,0.15360989275664252,0.11285551625999732,0.12196721788315117,0.13617950456393446,0.08359029284560039,0.19984607063125237,0.11294524703552955,0.14188674078255636,0.15070502036065364,0.2826811020133713,0.16467662748728026,0.10421909042311041,0.13780353513972213,0.12237629140792967,0.09686247988730008,0.21144367153063542,0.09709558642427861,0.08226895155848014,0.14498499229374598,0.10004643168456988,0.09483895488879233,0.10235234943287677,0.09847385152335704,0.13407410296522895,0.11931548471381788,0.1409991649074139,0.25760744217655823,0.12248533281705436,0.1988847025338991,0.15697301364053792,0.18220603660648163,0.0952333639896401,0.16208744992281324,0.10861377069286512,0.09991485796239837,0.10631900237008363,0.1042407749223698,0.18248375374759326,0.1823008454386164,0.21090283749707286,0.15741731759073738,0.124093175503942,0.09739264212366183,0.1297696104437714,0.09629746537516569,0.109667767093172,0.1124115306611978,0.10101571082033324,0.10053608908507297,0.1138125272610436,0.12869454501804753,0.176857738104245,0.09139723199278178,0.1254449566246981,0.1098376818096124,0.10659125485921506,0.12236408468649775,0.12341028174137691,0.09711824315415402,0.1944266700995589,0.10560844092972824,0.21412857535815702,0.1546560202214478,0.18192454687011386,0.10933576033992902,0.1338239988479613,0.12372666256326856,0.10477176354916577,0.13136155903380245,0.1014158628949912,0.0949974204895017,0.09787309335369455,0.12354566008686978,0.11255344614654886,0.0957554187143157,0.09504140525452319,0.10598452994004613,0.0891551701233285,0.11650099176498134,0.10074199960382392,0.12400813140895602,0.10454135890647336,0.09629145355379144,0.12177017893442775,0.11739441623977812,0.10628612069338521,0.13115055640282297,0.10739030606926467,0.09630026818854454,0.16707305930146638,0.11562322301228146,0.09602338305474596,0.11422436623168064,0.09848256686391807,0.09845852413403432,0.09366274096875701,0.09601548171982723,0.0979447061517791,0.09571631028507674,0.09456620893149897,0.09926021878814895,0.10088571845126014,0.12517551647253655,0.09839067609090166,0.10420390721431931,0.10629609551612407,0.09824578109008256,0.09659786415549174,0.09986758508071171,0.09636235043944243,0.1180655497260972,0.09649248215175689,0.0952269300198719,0.177445880422352,0.11558340297273442,0.09881178059319075,0.09772940394362757,0.09721817458577188
+35,0.32287892069770235,0.16891752294238002,0.30288123050021637,0.2117621022554648,0.2693188530919606,0.186389914712004,0.20859149421721648,0.20421962943967178,0.1978254013371624,0.12713415967033334,0.2001624095870199,0.1857882143019886,0.30244307696897715,0.24291038111929955,0.2233124365172077,0.32385760977093075,0.21435997755652664,0.219585008856831,0.25724923956877005,0.22658324950310893,0.1897899473682215,0.2553546967853937,0.1931497285462939,0.2221813668552855,0.3072108798569375,0.22341203530310677,0.2529529743035039,0.25826678151742666,0.16739805214537623,0.15614756974477922,0.18615048415941762,0.26000513197781344,0.194395149270148,0.0,0.22382759517130496,0.18499807040531524,0.1929436277960516,0.21963979810372167,0.22721141152246538,0.18395711321428748,0.244798861144119,0.2527000049632621,0.18736295967912442,0.30133984167856753,0.24230953817982456,0.1857736403295579,0.19597878993519205,0.20572557678011166,0.19554775857055393,0.22456970366065224,0.2661025419184016,0.3454034262510568,0.3058561655905081,0.2950149159728078,0.19206031981290403,0.303106261974585,0.19542391209662102,0.1989679938947745,0.21090087146263534,0.16288839932052585,0.19559524534687506,0.23025811115939893,0.25195578180632333,0.21659233656714133,0.18635639243140434,0.18981160636276173,0.2844757225284015,0.19138500046865703,0.19647690851763652,0.24723121377998106,0.14333201291662342,0.20442399864105798,0.1947429315267245,0.23834918603896682,0.17198242089396346,0.20025459130483217,0.196739653143078,0.19758263737706588,0.18228641066620246,0.23653038291186185,0.2464479149238535,0.26079238133949817,0.2235921261101126,0.23268772310532576,0.23504480760142998,0.23828803699749185,0.19262080348605157,0.1888463483990193,0.3045266925393716,0.19330288257795328,0.1845809856530258,0.2728522958549956,0.21344016030410126,0.2202045714600424,0.22873172458209415,0.18942667190989435,0.16325338007947798,0.20667607410233158,0.19288351795847883,0.2232468739903346,0.1941865082236813,0.22177914697658557,0.2188111908180931,0.1892774841359535,0.19289499645038508,0.20353264295165716,0.2149737102172253,0.20339245736484243,0.21916901107597106,0.21012082578391378,0.22150375922882332,0.211413636968092,0.2015546511854235,0.17094792100668976,0.1312110205851651,0.2759207764519596,0.2228717301421268,0.2032285383577454,0.20751467600411114,0.18994061084283606,0.16943974163597625,0.2670516703501042,0.29115493871416936,0.2867619170629947,0.24697982039445962,0.3045581554927481,0.2023058554102835,0.22789140611949493,0.2004417403025311,0.19524001764124913,0.21599272401631614,0.19422532301880044,0.28256702055849453,0.2055325426603427,0.2098945265684573,0.2148172348047162,0.3110022135776216,0.21265939175233156,0.18780437485873988,0.2040961302683062,0.16006824118822627,0.19199954411209658,0.24908290765260194,0.19287194166793534,0.19093337770417948,0.22387438991211853,0.19577129989289183,0.19028771108689257,0.1911226179573957,0.19059898756709456,0.20627771685862045,0.19431172979640887,0.20432520688356057,0.28931314742801556,0.20136327206844376,0.24206549854637852,0.22530933697763916,0.2166143240114578,0.16893370910589334,0.2386751869797338,0.19487686984647215,0.1903428263617932,0.188824557707909,0.19028560112047574,0.22824425302937215,0.22938887380267708,0.24875515331951753,0.21431273804383918,0.1941925243305583,0.1911557331082808,0.20446523715793927,0.17426282606971025,0.1927937124498432,0.21478419110896202,0.16897106855617178,0.19286393171244048,0.1896895838811403,0.1963483042994177,0.13067940095027028,0.18739647015701258,0.2111721397830124,0.1964706637452229,0.19473728888506242,0.21320523805394975,0.171857284004144,0.17922113639694767,0.1710044537337903,0.18937984885826142,0.2462967746550669,0.20601265560301685,0.10582832455273455,0.1917019791037203,0.20258414957211607,0.21577540507261264,0.1945672162423043,0.19869106511552784,0.19423285541743882,0.1888365351784698,0.19100178611370003,0.17674226491754108,0.19855005800604097,0.18716339119748948,0.1834181914184558,0.1891485151335086,0.19847349324496774,0.2030007453181905,0.1900930137044634,0.21000800108375675,0.18371115176915792,0.19067303205024577,0.19734511792997272,0.2007876127745357,0.1942667506652705,0.1955261346762363,0.19801198642528414,0.17915346956799494,0.2119008081460487,0.19875004570945437,0.19167097777776165,0.20005732380779415,0.18977284591085392,0.19292277588506027,0.1876169292285226,0.19026968698875887,0.19214581376043796,0.19064045912877003,0.19187843964160678,0.19248153600773088,0.193243808015599,0.19350680533903764,0.19166548175048312,0.19503668351849318,0.19321455169122895,0.18847496773091882,0.19063162193858033,0.19139892910230238,0.19108021839382397,0.1975805770003096,0.19101893947315357,0.19069217848464776,0.22996269171038256,0.20384136571517555,0.19076014557746002,0.19146802719630324,0.19124398828489536
+110,0.3030559850437164,0.1614855203869234,0.3844419790414118,0.21191046958390522,0.3321752776340515,0.16113452663067274,0.3222092624088879,0.17599103775611719,0.18730673929587502,0.2407298822431699,0.246615701916259,0.12378886877333398,0.299820995015964,0.2290078736697298,0.20855478488562826,0.31519460524763415,0.19766748492169892,0.23160013585109743,0.23049010391673083,0.22235243245116865,0.27117980804059577,0.2647229208575057,0.23040661975322627,0.2024142462306173,0.34311932258595307,0.36532300808948326,0.27427681537451754,0.28382979587431967,0.1387226422039997,0.13748076567878323,0.135519609756811,0.25610838212027137,0.1508811005727276,0.22382759517130496,0.0,0.12420901784933785,0.12233229152011164,0.21777984646151394,0.2960000990484205,0.15515488631766264,0.21764053497361252,0.2477052017347609,0.16964930568239267,0.2855679415399268,0.2477615047122602,0.12196073619702753,0.11571362310028631,0.1485940376855468,0.11800427960131946,0.2246498433047892,0.22586322412924717,0.3289951627545778,0.2868467561373858,0.26633723506306467,0.12708695885745858,0.28152736973871045,0.13059176279144005,0.12682468544603784,0.23465049815282193,0.16710830755210107,0.1605425256030486,0.19147141474005067,0.18668254528270306,0.19865615599655717,0.13305249710013958,0.15835241634595898,0.29732341711231536,0.18190861596298072,0.16966438793400299,0.2590640299258081,0.19494771170230016,0.18361868781989962,0.12738901482827106,0.17938606412756844,0.25611413270289257,0.18272940014379513,0.12581975793014316,0.20107279166060915,0.14760995247516157,0.1544068851450092,0.2515663502806239,0.22380718689099943,0.17229270914221348,0.19098449725510783,0.1909065577086332,0.17140952117389935,0.12422998099539963,0.1328849205757684,0.28276952610788214,0.11624402046202606,0.13920986800855156,0.25222393156770917,0.2347847099180976,0.18918817205275068,0.20042989052799168,0.17028899714754117,0.16091087616233585,0.16364242570505486,0.15679074806017093,0.17662526599558537,0.13683285962750716,0.18799048873850052,0.2040234492080908,0.13164748569485585,0.1436787932751137,0.15619611008844134,0.16111945530148836,0.14787186466877106,0.11537080703739434,0.16915392950498467,0.19794717330405756,0.16942474477104574,0.14690369724033522,0.1495810465823708,0.15561589647459764,0.24033152731795435,0.17357065843655936,0.13967620752064702,0.20552502682152876,0.13909922737462974,0.18580537692680488,0.23178282948964612,0.2644137051803079,0.25659554633926124,0.22361404216561442,0.2812554698945802,0.14149776961372454,0.1662389085308962,0.1464297260238125,0.139954335169511,0.10365475535671975,0.12973135307229963,0.24540124364592455,0.17630948858066156,0.1761736127207397,0.16545409565268046,0.2907253766256162,0.1897081429685961,0.12624261065277692,0.14143661526934276,0.15708261882151442,0.12187859732327626,0.22316037281724208,0.12208488907629421,0.13314471223058896,0.16084202329039957,0.11133761489039412,0.12215627929637596,0.1210420169833639,0.12929714982017756,0.15168840343794235,0.14315696702528277,0.1687878151682084,0.2982926195737173,0.15926801324833217,0.23873590778316828,0.18250611243136358,0.21071764892758818,0.12444107201671224,0.18522066785154015,0.14116332120894773,0.11990339702869095,0.13106376645739312,0.13025771117926638,0.1976648247639475,0.19874615147576438,0.22613067963779332,0.15171223049550384,0.1371116851486323,0.12039727143079106,0.1454481461461359,0.13672579880789235,0.14849464407640078,0.1720072593983585,0.14288850414617965,0.12214901676620897,0.14314523489562528,0.15046392032759281,0.1964135026483161,0.12164547250503092,0.1785018303931839,0.13607190322594756,0.133584725953416,0.17132928505115053,0.185624023324955,0.12901324942609127,0.25116500167396183,0.13182461158011097,0.20154641927453953,0.18645429046877338,0.21175440428737402,0.13286614367427396,0.1681954141143427,0.1794155955451704,0.1264292999664538,0.1431907371073758,0.12599386173432106,0.12059499941495364,0.11544530177629722,0.15127537771151114,0.13445495834282084,0.12277846301680655,0.13368973060176412,0.12961999314073722,0.1404342317104208,0.1616610980082454,0.12426346276406121,0.10036213565327855,0.15291973576233256,0.12005591238906163,0.147402412455765,0.13311072363005946,0.1317067544853431,0.154829678032784,0.11518752882577846,0.13250633930970954,0.1933558723838917,0.13810391263857785,0.12013194502371508,0.1212819617021528,0.11904751593533164,0.12330061722893187,0.12010339353782801,0.1204322386118884,0.12321914465576726,0.12075546949531778,0.12868961437601337,0.11761755859027138,0.1211389711413932,0.14546259974369807,0.11818653996252687,0.1271216637617865,0.12408514512121263,0.12285021930575211,0.12048150728127652,0.1238206020528437,0.1200420193943359,0.1384452184098765,0.12000034244439314,0.1188872686761977,0.20575481927798805,0.14359997302631974,0.12038868578926964,0.11711444520417984,0.1177719403374348
+205,0.2796063684287451,0.10525217791451645,0.3626443528556201,0.17334327719202133,0.3022283874595209,0.1055529702046385,0.29152669616684856,0.17638786571611204,0.14314880308900632,0.21097442024177002,0.21252762561954736,0.05278170261254205,0.2793328054670687,0.19611660634663425,0.1732601256371357,0.2973885725697226,0.15611915221062753,0.19174279169597866,0.205237786311097,0.18493209615007794,0.23472492008188942,0.2329299625747475,0.1955092467517083,0.17908805781085257,0.31193337898432044,0.3385809561473656,0.24276044021281096,0.25220576872096967,0.07022144656947928,0.07096092075132628,0.07356611273894793,0.22108921355136493,0.0935141441257737,0.18499807040531524,0.12420901784933785,0.0,0.04800184961013285,0.17805756545424303,0.26511182557400553,0.09000160891602514,0.1859131982041142,0.2160513180581602,0.11580675117116634,0.2577729672411178,0.22334031561217801,0.04634310101649446,0.06044290864306942,0.09091613036135764,0.05362166296055959,0.18595462329240162,0.2190139732190309,0.3062953271138294,0.26013453927263586,0.24265519389763576,0.05448265560629,0.2558737589634418,0.10174862314720473,0.06195995294246723,0.19275446577777067,0.12124893328894505,0.10967720852800196,0.14933837252390317,0.19723583282183846,0.15083129088343744,0.05590216626242198,0.09948891396911315,0.26761977298253636,0.13684401292077258,0.12010393327337006,0.22151768072904193,0.15077131656288034,0.1364672048783566,0.055006438037456036,0.15463259355542217,0.21505890682874665,0.13372507074014992,0.058692584549277164,0.15612381084559476,0.08894407018744224,0.1611231794285325,0.22233650061915108,0.1918567506425693,0.1210774419114118,0.14954633328612807,0.14988334533890074,0.15298978101273836,0.05115884394744549,0.06650913486004313,0.2818638506051708,0.04411328769513344,0.06799628363887891,0.22862531475669026,0.1997260515272549,0.1508887426750196,0.16587279707021801,0.11993984235649337,0.10665562386699928,0.11013960491495813,0.1124256130856101,0.15305556113998753,0.07068014428269101,0.14957112835490818,0.1554225991087774,0.06267567274329977,0.08875270245252964,0.10245950313088324,0.11166253707286417,0.09452457021314487,0.12844928252693769,0.11485844428519755,0.15079120088455522,0.12322730498243148,0.08992287285856816,0.08901806471118605,0.09758636553074991,0.20940644933983904,0.1304272047683989,0.09997525373898679,0.15390714931439892,0.08558961939248737,0.14605051111804415,0.19988739150052265,0.2344862547074318,0.22746238739128727,0.18729545403400713,0.2553734467326786,0.10545319047999285,0.14560005553931915,0.08682124025560328,0.10220611612654261,0.11627790208745453,0.06561726117598975,0.22807343101789468,0.1276148504602614,0.12770064945002269,0.12052477733635952,0.267314631684428,0.14628077924623126,0.05147428391193912,0.11882811829328971,0.10325751012082487,0.04394384032154592,0.19098894502848313,0.052920355423746346,0.06307397431447243,0.1372372695597477,0.06169579853909277,0.04087524506270407,0.045345683146408654,0.0576032365852776,0.11144631686865494,0.07949686843167418,0.11934558429238548,0.26785688249997675,0.1218404465699596,0.20329255352232925,0.13680169947510532,0.16607983420139877,0.048107985591174615,0.16441638763928826,0.08079507541028444,0.045857438275816335,0.06108071155396635,0.05857992858242719,0.1575549383707736,0.1576989194180595,0.19105958938403378,0.12973977915545334,0.08622230850953581,0.04094753530151802,0.09161664562603448,0.0650764461878515,0.08895204537703613,0.12458046440064455,0.09355514154170998,0.043958215826029864,0.08752880141541576,0.09422518861380906,0.16602773525120465,0.040459768168113516,0.13184661622895658,0.0755768242452364,0.06570751874196905,0.12412284018249824,0.13692763028287744,0.0527550301222552,0.21205235553959964,0.06717666232191602,0.2072765248822821,0.1424686830603778,0.17344400256801384,0.07897933251500865,0.1147950047789072,0.1336321122673227,0.05839701002660511,0.09278213037757371,0.0495954060397655,0.04711088145464089,0.042493733052077674,0.09691370153934978,0.0635784142293443,0.03991805134630392,0.061854724759992985,0.06019578482072647,0.08269587883802733,0.10857987667854398,0.05231741509613913,0.11444368469606984,0.09449966043242766,0.0351284698341968,0.08860412235743406,0.07656270712452846,0.06269832908108465,0.1000383260424909,0.06400034126719473,0.058212559213252975,0.1486894844541429,0.08101748111479272,0.04046735505183549,0.07188767657072034,0.03458160650259613,0.0443052224854546,0.034968477173418125,0.03886738857058999,0.04713001539609925,0.036233872696859,0.06228187209562888,0.04225500409290745,0.046331655182800725,0.09044938115733218,0.04439213741243335,0.05120902820941114,0.05830540564617752,0.04948854649956919,0.040222539754895724,0.048277012028361085,0.03515803373470913,0.07724754081948088,0.03494007993151195,0.035766885023918026,0.16743609834104065,0.10149408013359176,0.037048255644598085,0.04150746620611529,0.03759060471007663
+116,0.2855247515656521,0.11513354121447317,0.37413565679321437,0.18242318799565327,0.31038446724655794,0.11133708753293614,0.30421346165441754,0.18750389020844685,0.1517653293026794,0.22286876961879323,0.21942862995534046,0.05140584985295694,0.2888552989743209,0.19924412996966337,0.17850207652668812,0.3043340514903619,0.16639789462749557,0.2023297918785654,0.21081314905274592,0.1929225452313154,0.23754897136616057,0.23887213657511874,0.20380710347652417,0.19012606570817114,0.3233950702334037,0.34657640694793795,0.250634501043743,0.2681280112406316,0.0785613328036535,0.07661207367400494,0.07862815002590663,0.22831553948508865,0.09690979075977829,0.19294362779605162,0.12233229152011164,0.04800184961013285,0.0,0.18145561176051067,0.27320430675105456,0.10633358474708661,0.19527874358534067,0.22471780935179023,0.12561068456373567,0.26281238108699256,0.2397337142206746,0.04719821918935385,0.05530757806305813,0.09435441664121398,0.051742535526034646,0.19299986240323008,0.22258294368837706,0.30981469468089734,0.2646981572180869,0.24629637066090956,0.05208654939670451,0.26035833748408715,0.11503258227243054,0.06727431934063416,0.2055303269053659,0.12412300167438198,0.11353017765036301,0.14997217775947772,0.2069276608259446,0.16427354304529382,0.06949854829596903,0.11213451439630191,0.27572527834802435,0.1431390956591716,0.12620160554481055,0.22803533313649427,0.1566513426071468,0.1435714103490631,0.05451517358639465,0.15637955105676274,0.23023196390168288,0.14545723722456025,0.059090520712270715,0.1677822176768061,0.0949321636748629,0.16701884183466234,0.2371821538011383,0.19543880539942293,0.13023231450732473,0.1506374085710416,0.15115470066638553,0.15783683506958598,0.05620646854890878,0.07064853902516316,0.29373878224147176,0.03791303994356461,0.08010751905965213,0.234299693373344,0.2064541282016317,0.1545979094239471,0.17453230704841022,0.127283471677892,0.10961324558188647,0.1150129449001674,0.12451431742311,0.16132359780244748,0.07132610434178499,0.15338478685287613,0.1716532629632929,0.05828675525813767,0.09891601651352558,0.10178723902005986,0.11496678824468086,0.09313525692519184,0.13073151494882126,0.12209852603466703,0.16400184882124627,0.1220912439767202,0.08426134556302302,0.09692277605517145,0.10550828418471782,0.21075030707633718,0.13582401031236838,0.10225685484871948,0.17104308184034964,0.100200710776713,0.15850338196811023,0.2030100397863458,0.239083561461277,0.23257981915812742,0.19326053598478488,0.2585307356844919,0.10679584792657615,0.14925916487363955,0.0943491388842123,0.10789813298056186,0.12154376712988499,0.06191615341985066,0.22958697446070211,0.13174972843078867,0.12234694210708391,0.12490527462516468,0.2724907491849702,0.15546453228450557,0.05808674964817012,0.12114257693894906,0.11127687142081501,0.04533567090069434,0.1972278945879454,0.05200630421755186,0.0666277984713234,0.13989803085961644,0.061128284605592935,0.03724067874455067,0.047218713050348325,0.058977073198709144,0.11255630934160625,0.0847491056448721,0.1268307309965157,0.2815177846093979,0.12641680572207348,0.211187377006316,0.14106210423049917,0.1794768397528005,0.05127308083721076,0.16813853414237365,0.070858508634941,0.04389342590199032,0.06405184375108429,0.0617754335832956,0.16332080138471242,0.16380812508216086,0.19670514538956058,0.13408114001977156,0.09130998574632591,0.04193506656308761,0.09570328923941299,0.07503228403142873,0.09276362867700952,0.12179053064915733,0.0962337908108095,0.04516751201720883,0.09312238320018537,0.09759052831155794,0.17313636199568885,0.048309672116238454,0.13414647032445826,0.08313579195042782,0.06936793662244717,0.12843174495898677,0.1471022649347655,0.054564885376677294,0.22392587014909482,0.0745115461121382,0.21537814307223868,0.1460614285514062,0.17854031737356882,0.06347771355002305,0.12420762603745814,0.13777473738728366,0.05959326593335324,0.09506170385567428,0.05050698550211618,0.04938192260758921,0.04233858511009297,0.10465126622544879,0.07391049491095486,0.044389279688657794,0.06593761334753512,0.06810261290669563,0.07867133532820554,0.11002185017154435,0.04353688954628871,0.12069179165389993,0.10555996201471364,0.03432603106105064,0.08935319672246037,0.07679660052302151,0.06035847283226053,0.10426041842131603,0.06123746499802701,0.07049028784242918,0.15841497378348862,0.07067867650605276,0.0405125550073601,0.07238789304442907,0.039637609179471914,0.043287924597553394,0.04070628418475221,0.03768361133290563,0.047972660962065206,0.03648041736332788,0.06443455526230236,0.042597188586073545,0.05112406511341913,0.09087363017804725,0.03669321084282085,0.05166684698210261,0.055518039610524955,0.05132287618229651,0.04017043454044945,0.04798347916708005,0.03556221559302652,0.07728335709207873,0.03554459468642323,0.0362626680765819,0.1749478557047943,0.09730557332680241,0.0402405143962216,0.043274716394554366,0.03531178604954321
+298,0.3235339448599145,0.16379993290068004,0.32643543117111784,0.16811489224041107,0.2749591566910457,0.15194554861088025,0.2966659019650325,0.17515777469633073,0.18928765250918084,0.2249173698286493,0.2398586808719415,0.18104854790410724,0.3023998406648349,0.23519906319437142,0.21674161075396978,0.3223570098739225,0.18059690364469433,0.22006253789261496,0.2567414559703315,0.22535987850049732,0.21189737552869553,0.24995204685191563,0.2275039883499219,0.17623702744514344,0.2905933859474982,0.3247461649119206,0.21928108607556487,0.2418678470114372,0.1551581394056837,0.18316666209715185,0.19037183565564927,0.23186522672276033,0.18345264709542025,0.21963979810372167,0.21777984646151394,0.17805756545424306,0.18145561176051067,6.452392069879462e-09,0.26710720149919176,0.15572495648691745,0.22400737905776416,0.2015336141535526,0.16564537126211631,0.3012935734341102,0.21001931613185953,0.1808214564521829,0.18913819890151815,0.19747841133449243,0.18858008960127623,0.21783753144810894,0.2652778356292402,0.3415218131306376,0.30194483551485396,0.2920840829421044,0.18811141974185427,0.3017186117980817,0.19652172731518014,0.19443067299934563,0.146667537052809,0.20498142081407691,0.19215518055126996,0.2209923679080308,0.2083976318430339,0.21414070352646325,0.17232926025577297,0.17837305881932478,0.17059464272021344,0.15675399967782921,0.15835046632329075,0.1301002701923181,0.2052974697558348,0.14923264476208295,0.18617462345982555,0.2334691112126539,0.24304149024916888,0.20516492043591886,0.1922023628516255,0.13201144011468466,0.17675385146400746,0.22565988783472885,0.2277446124385926,0.2576946327306699,0.21501657919378767,0.22241148973631827,0.22804396122733092,0.2314579354265654,0.18859609942980388,0.18938609608461462,0.2856374104911354,0.18569344127660325,0.18147729500806742,0.27515671561725163,0.2314352128510626,0.2202136630023651,0.2265655922363577,0.1777096951693174,0.16373375419299924,0.18133748176797176,0.1663568063684483,0.21048207322275508,0.1809079828456103,0.19889941975143827,0.20275991917336555,0.1671189075290316,0.18808208534172344,0.18475598372064705,0.2061759936873328,0.1976568017287258,0.21258430379684495,0.19326560180246824,0.20942749017373402,0.15886830007656275,0.1883980583267431,0.1709631938874463,0.17451891274471093,0.26833600511419775,0.21828136630521636,0.19005434861287634,0.17814174516686831,0.173207828935486,0.20824918288268252,0.2627256407184604,0.28766197776597147,0.28584281353135815,0.2460483188127585,0.3033935511988961,0.1982425941430538,0.22464650274575332,0.19006643124888864,0.1972381019488258,0.21008069345853098,0.18192216814660836,0.2707070271651181,0.19750323793764313,0.1721101282007979,0.21265734354158206,0.31511754903786093,0.21515210156952824,0.1857052376363457,0.20794407669126702,0.1927418387772505,0.18714306545068346,0.25499185854115075,0.18150150856634228,0.18083472953223656,0.2183152753168535,0.1896008060484231,0.18429541849033265,0.18778067081725372,0.18365090706492915,0.19880748619159283,0.18535533702353404,0.18877168243620063,0.2775511480584724,0.1727872396186081,0.1909184812409483,0.21722379429545063,0.20515256038249885,0.1676582914611154,0.23199919639545669,0.1660019474653505,0.1836483420517911,0.1767843825258136,0.18414398558758432,0.22471342667598884,0.22625090991931288,0.24708834882177513,0.2074975228271783,0.18919193432716588,0.1860008261055323,0.2009752944429316,0.18092709485631303,0.16825097394805297,0.18976140235107203,0.1958265445659618,0.18784618629720304,0.1700384278541381,0.18470258399236847,0.22010849653123254,0.18177482692373564,0.21014111876486377,0.18707925842582804,0.18890617836852736,0.20784591097634889,0.19474538857242854,0.16134154453754265,0.238249899180678,0.18619095739144043,0.2390929894016991,0.21586026633288047,0.2281565276117279,0.18596342352901218,0.2009671688505232,0.21309327412286314,0.19172450977775002,0.20372659913715163,0.18777374626857116,0.1804951823879912,0.18691970879681616,0.1882225271299764,0.19088359553722767,0.184973954268808,0.18147183325786057,0.18075405356961888,0.18213628667239393,0.14989723628576995,0.18089410559137623,0.20006592161457196,0.18243495991278988,0.1861015088823311,0.19465691247778694,0.19738229921575007,0.1904420790276736,0.1976341391728627,0.19209239280131868,0.17800375841896607,0.18717664604839734,0.19577589597833953,0.18706472757008452,0.19418899470018272,0.1859215920222145,0.1840682490044903,0.18221942342236466,0.18661297761742845,0.18747057957533633,0.18511036882150064,0.1900941267937514,0.18791631843220086,0.18971921811510245,0.19823466173258,0.18180510085798998,0.18843924560404418,0.19016394683493712,0.18103894442495352,0.18637935423795302,0.18838995553095783,0.18647223485524536,0.19546282071550902,0.1860524184455276,0.18648152451718583,0.22695820310023374,0.1982093401754868,0.1857167086542272,0.18761462891261677,0.1855702033921638
+30,0.3709061871373847,0.23198160925320516,0.32522343626476374,0.2545611733970924,0.2763108133213815,0.2414638279934348,0.2775524845404015,0.2677176907344077,0.2446203757705298,0.2455568226872492,0.1679126989626825,0.26205116254459887,0.3455675415926949,0.3049847846506694,0.29397780041614335,0.35768124210441854,0.21562176681008824,0.28389233152412235,0.3152976825043093,0.28551064725412023,0.25063717364736365,0.31698237679107727,0.17708480505766502,0.2809897842153125,0.32881737347531353,0.2600974859897419,0.28680958208698715,0.27259763044418456,0.25231881189926164,0.25825459577470616,0.26809487290278566,0.3089831842197163,0.2724311850135762,0.22721141152246538,0.2960000990484205,0.26511182557400553,0.27320430675105456,0.26710720149919176,0.0,0.26116209302874904,0.2898860808646752,0.3007457984238015,0.253097325352146,0.33905502622025807,0.2846783863092764,0.26375305042134817,0.277968955830338,0.2815822692031527,0.2724322678601615,0.25963295680936854,0.31538284412213835,0.3858874703275906,0.35099349377336125,0.34377244760646775,0.274504204119192,0.3438144394229213,0.27544404357343344,0.2807686509365062,0.2769483660925678,0.25431056268974617,0.27724017064251594,0.29440370500195207,0.29305588921971215,0.2813044174188779,0.26398438341395475,0.26626665496485313,0.31982623672416627,0.24561920023510087,0.26974474823311406,0.2829156927551524,0.23793383313851993,0.275339204130403,0.27169766328822276,0.3061954892125049,0.2541000799573971,0.27777757667392944,0.2789985439135797,0.251465813373862,0.2634832738979079,0.2935447347667077,0.2846104600463498,0.3202289317297551,0.29433869986307004,0.2991377867370628,0.3019648396591603,0.30345011849251174,0.2722097395726224,0.26338356277883807,0.2648019461719745,0.27531800076904217,0.25166006389562046,0.327795795646197,0.1646648503473632,0.2893601669345515,0.27861826998485456,0.26126513154635556,0.2515638611228417,0.27076135731779055,0.2511793883498936,0.2915111776235257,0.2716388255765652,0.2783231641609623,0.23439191539322093,0.2600015488584874,0.269344997127156,0.26872235046035925,0.28685554302055666,0.2796918164793553,0.2913776022857266,0.26889508403079365,0.2885153527394254,0.27265374374516427,0.27602505238921526,0.2522471352380613,0.24759145569212274,0.33127739043282345,0.2934061445534497,0.27560612611270197,0.2610783804001652,0.2546652432522534,0.2693052887210723,0.3274642535301199,0.3444173906465861,0.3439231210971116,0.3085705165967932,0.3458820796817172,0.2775294946031983,0.29635094018857155,0.2728735536358272,0.26331016792585005,0.28485522019541604,0.2708228334369754,0.3292226606263416,0.27097233151037886,0.27028988623952793,0.27605071253175517,0.36845625155983347,0.2919839365793629,0.2680358760744343,0.2582448721876865,0.24361223341147967,0.2745723143131122,0.3207246316389706,0.2735407867819926,0.26368881376953723,0.2930987109485643,0.2768023617128807,0.2706829984519358,0.26800208976842266,0.2644725882446731,0.2656907747506977,0.25176435554216925,0.223020251280166,0.32805637136072363,0.24256399391626657,0.2730038843846113,0.29257907919728116,0.25804471395073453,0.2496417566015424,0.30100588248604737,0.26543038191441165,0.2655046920879287,0.27056554765203406,0.2737021140307408,0.22802148248080098,0.2289883698477243,0.23221999786865616,0.24419207669494877,0.24135357786081277,0.27460186640676354,0.2830031486990806,0.2626767854523915,0.263629366312015,0.2799257834117117,0.2698018065054645,0.27622511982731973,0.27016115349605985,0.2620164557171737,0.24632791435744703,0.2631256995550835,0.28060257022959106,0.2709138296434862,0.2740152942319022,0.2894260462903123,0.2475737195888531,0.2624536652389137,0.2760326792795609,0.271830680295548,0.3117433825618863,0.2708276045835535,0.2537110286843488,0.2691053434454878,0.2322881089810325,0.28853399866621243,0.2768402176176804,0.286992694093837,0.2762039531780198,0.2630731981284537,0.2744666584830339,0.25454296258106573,0.2780261152182982,0.27169759722166853,0.26635627799049894,0.2576964557460539,0.26539664854189765,0.2640865669913076,0.2661597822712296,0.27985656168127654,0.26707687022390186,0.2746722386243272,0.27822127716318434,0.2833029485610036,0.2764851319921475,0.22547532665559158,0.27793823952497326,0.25854669416632997,0.2510765638145554,0.26481128286867617,0.2760639150552514,0.2792423500659436,0.27252659615667657,0.27247420254703025,0.26792239080024904,0.2711615841200729,0.2751540153929279,0.2743132650022604,0.2755030495616221,0.27612070919334303,0.27462871153232127,0.28252026812622333,0.26979982910706,0.2765142300100396,0.2696373339368788,0.26216160465744565,0.27395432463236347,0.26990801002914894,0.2753583312730297,0.26575194735556246,0.27510236852609776,0.27387829353187093,0.27657274973538887,0.2799179326353304,0.27099379803625406,0.27374466446426676,0.2745633175437489
+242,0.27988837859865057,0.10912858070130882,0.33560694371586364,0.15373760090093327,0.2819948312407008,0.11255877046247302,0.27477198441427014,0.16742787462186906,0.15331686476784534,0.2081102174793165,0.21120360134481325,0.10379739107890631,0.2663274291786187,0.19858033311671858,0.17451908182684053,0.28226069591284125,0.16302607507148292,0.18700020157991443,0.20693970323909391,0.18025142161316055,0.2269983489885753,0.22144479342787754,0.19594783528302734,0.16071824108264765,0.27778056001505363,0.32312015449751147,0.21874839275387795,0.2283615789722929,0.0947477779136902,0.10841146447294558,0.11343398168346683,0.20125892997256273,0.1153067463991363,0.18395711321428748,0.15515488631766264,0.09000160891602516,0.10633358474708662,0.15572495648691745,0.26116209302874904,1.862645149230957e-09,0.17723311812118103,0.1895774297276846,0.10631020276064337,0.25882609742482665,0.20538714203107697,0.10300824114969062,0.11258171656486791,0.12421741401767157,0.10218627478137698,0.17649620452971831,0.21656138756256307,0.3053548864776875,0.2612512311323697,0.24984932453207545,0.1101839080360976,0.2590687430022303,0.12232843799365427,0.11133044232067552,0.1603414636376402,0.14176240861866243,0.1259477603598002,0.1662105237265826,0.19579283548664547,0.15300507879215408,0.09204442901023027,0.11062291187337829,0.22838758955788038,0.13326258388408502,0.1237462155668323,0.2009748037409267,0.15618327513090116,0.12379354789239512,0.10787430760060324,0.17315159801838426,0.2087960936807308,0.13014791882129995,0.1111421345001912,0.14853272201512796,0.10767906567048137,0.1647335587530635,0.19807190542127337,0.20607187168737096,0.1354782703064254,0.159033953285486,0.16966347186138284,0.1684069810859126,0.1023163105219538,0.1114426254349358,0.2855730659226054,0.10319513590802258,0.09913241334192742,0.22513979590474292,0.20265998404410407,0.16508815803436672,0.16175019637336222,0.1048721313694947,0.11232288046519993,0.12722685762558109,0.11561237599648112,0.1544869723130526,0.10234897633576276,0.16189411713204652,0.17626459873571573,0.10334871770211947,0.11913390334307819,0.1323916049781434,0.13257051619483926,0.13103126306251814,0.1456740139334,0.13319440383916403,0.15098810360721854,0.13753978802799302,0.11694841913185783,0.1108009560533024,0.11351487770638986,0.2210704497971587,0.1544322136169962,0.12479711341176712,0.13820859153368814,0.11679296276129134,0.15201906902191023,0.21222869363674357,0.24071817885999494,0.23421353348276658,0.19351950497857606,0.2616547082033581,0.12995109172535244,0.1606060271539663,0.11130762556266283,0.13257053957196366,0.1346023014354719,0.10251855280659004,0.22470185071506577,0.12032813867933559,0.1542305727285084,0.14339638093658036,0.2709181490208546,0.15045903329985744,0.10095716835241697,0.14020478281459375,0.12905618205089045,0.10074071644841205,0.19212017967081124,0.10325046562307319,0.09270833781563888,0.14925879063916297,0.10744353022639004,0.09981658516846496,0.10024835158782532,0.10507077649153747,0.13612616782583373,0.11276286478949228,0.14206827969149252,0.2509690638833735,0.1333258612223109,0.19417551909744063,0.15306177020919964,0.17405439531458478,0.09220623329274998,0.16974572372309088,0.11486613795118235,0.1000164180014493,0.10395071563837359,0.10486138290117011,0.18012800741401622,0.17887968145247432,0.2097819196576232,0.15471115748450737,0.12193791662739553,0.09910190305083731,0.11425026116458202,0.09987890173024548,0.11229050527291573,0.13651142090529728,0.11787827699872168,0.10431436378543324,0.09767635184364472,0.12151310917635859,0.17286485212123884,0.09660375693759718,0.15240093237143296,0.10541824580435866,0.11024816628148135,0.14195040579626947,0.13956562637203984,0.08818648484963124,0.2037369333707593,0.1094938732160372,0.2039134359926461,0.1621792213453108,0.1848864736848605,0.12082418085137364,0.12858579009470444,0.15044671011684946,0.11166184715033117,0.12500772372355165,0.10320055840349371,0.1035762778356034,0.10226655179599939,0.1264139864411369,0.1033443653937442,0.10065351452230095,0.10129384442311536,0.11059431127931035,0.11464268330000094,0.12183396012693715,0.10459913493372645,0.13412143958250655,0.10451368727746609,0.10219754793459944,0.12370289833153328,0.12053689253590934,0.11372622857031249,0.13340648847402936,0.11299674413158732,0.0968681929747102,0.16806340107559412,0.12466852614417574,0.09969921593923381,0.11252155580678819,0.09521502215695986,0.10369732864369816,0.0977230555257027,0.10212693893973772,0.1060352927735722,0.10119728425408195,0.10310178635366572,0.1053236499973982,0.10527329779977407,0.12408125387612468,0.10409932415153304,0.10669282780110897,0.10799656506694194,0.10423290254124257,0.10290230701658044,0.1072694053073633,0.10254843039398485,0.12096530102502509,0.10147922590760546,0.10261283725178598,0.1783372945882115,0.12867057197770054,0.0979492249858295,0.09863906026029502,0.10330796144372341
+294,0.33128279848798503,0.1951251152713038,0.3803875360030166,0.18355623213919517,0.30609743160128594,0.18229472714285394,0.27553568264594364,0.22469751163625287,0.20847068010655453,0.25781329970019806,0.2615529004440607,0.19066479012275772,0.2317262387707004,0.2404900071803404,0.22506215227372334,0.2456438188097687,0.20632233885497764,0.2426608366727261,0.20041194123881556,0.21287423566984626,0.2569712321662609,0.2530083584847562,0.2349918172676593,0.2023198429621162,0.2832588872591757,0.3595754969057843,0.21366372871074854,0.2434750881250584,0.19628269161459944,0.19421681785860503,0.17765262662714512,0.2210058989036824,0.14934846144575586,0.244798861144119,0.21764053497361252,0.18591319820411423,0.19527874358534067,0.22400737905776416,0.2898860808646752,0.17723311812118103,5.268356063861754e-09,0.2132973073832833,0.18421795568726898,0.2949460965867313,0.22855953067901072,0.18994676317981182,0.19940565755127787,0.19369931860638628,0.19420178931936316,0.22351346143171236,0.22591833639675524,0.3270852420073492,0.2958500465462564,0.27980769067885425,0.194452855617778,0.30486896911885086,0.19284850721710342,0.19900694647091338,0.2336317953407109,0.20533268741853322,0.1876343375216084,0.21729442249764816,0.19038336629966732,0.1863184272125451,0.167006634346325,0.15446216458048534,0.2584254068898292,0.21639442068013273,0.2010568253497489,0.2492760345231409,0.21658008533801718,0.18939974516485097,0.19466516895021704,0.2418143273373441,0.22657673131911193,0.1858234310234142,0.1878382484331698,0.21707057665887006,0.19605220538072057,0.20985123437979936,0.18084762378954383,0.25755566029404775,0.21472840662195836,0.2009568185706982,0.22489540895456395,0.2207230426225741,0.19639104779098762,0.19312221387938705,0.2740213179189415,0.19447438948255533,0.17508447278602246,0.2051667347841737,0.23883158715147682,0.2216283634840523,0.16175393535695057,0.1558749887175375,0.19656083362810312,0.1880435623375092,0.16876549934284232,0.16765981650078995,0.17622140684840037,0.21565221390647005,0.21563690790992707,0.18580307959017459,0.1777472574255416,0.18079762433108362,0.20114581811564847,0.20211533718384017,0.21746874608306363,0.18527638817367864,0.18366045548784427,0.1702463281378612,0.19430229255391904,0.19178552602556512,0.20561013084005014,0.25934443681404656,0.22062610335319968,0.18631800171115856,0.17696470685387705,0.1879318879639642,0.19510252743802406,0.27408868893858834,0.2958789673311256,0.29298847897272823,0.248222716407722,0.312640980043013,0.18639445063928947,0.16780904396591204,0.18807498755070481,0.1910628382906916,0.20071420370269946,0.16932121014306054,0.1615813076075639,0.16703665831610107,0.20122770279428945,0.2218973013774274,0.3234805228851627,0.21912231457595457,0.19553737165932306,0.20863517439960022,0.1826148246389584,0.19349319109220553,0.26327016824322513,0.1877482257981117,0.1681063551313007,0.1741952421172137,0.1818454279646067,0.1906682672735009,0.19653198450888515,0.18486883662346734,0.1941049917840173,0.19452861371130822,0.19723208652921573,0.21482592026802488,0.1533713118205254,0.21339989531071504,0.20636665767397228,0.20109822978966704,0.18702090667698207,0.17521142446752497,0.19020505268874227,0.19346617043634973,0.19099706949577813,0.18944386288424275,0.23351668283927104,0.23123978624422792,0.24400374309238648,0.2106174476246915,0.1976707610608725,0.19306845797965838,0.21007779336221813,0.17735260506797124,0.18177018033017006,0.16689433966934997,0.17435166556102705,0.1970355540451265,0.1794596427041073,0.1938996517698887,0.22639145365246982,0.1840920305887658,0.19961258407710358,0.1843823598158304,0.18926920921672089,0.20168414635880094,0.18561500927137117,0.18218366881331183,0.23027967749664605,0.18268208856486234,0.23816346529657786,0.2056305567441383,0.2429764422482649,0.19717435661645555,0.18895382147162743,0.19659324106637366,0.19747511654004035,0.2128028479705284,0.19471731459718125,0.186324287485174,0.19231570144169247,0.18980972246756211,0.1946408763652877,0.19193138132446713,0.1821805858585293,0.18449343502901014,0.1798212446141683,0.1797191001678864,0.1953791105953959,0.18689032803942954,0.1666188751099895,0.19511211186496466,0.19864294668832574,0.1932160655293885,0.1956454232755086,0.20127494733687304,0.19332544417226658,0.18067904288730982,0.20856176421026254,0.20499623858783425,0.19285307639581586,0.18325619577221447,0.19504735308514307,0.1938261979590788,0.18807121832296714,0.19450209768728854,0.19440882634427664,0.19315491383599334,0.1841263047467481,0.19389133810310072,0.19593971184037282,0.20945779551427893,0.19441506851958945,0.19249367751852411,0.1973651641031511,0.18587205003594073,0.19215375133296667,0.19466780714055695,0.19507935950553518,0.20503094607062838,0.1953309308284743,0.1946616883905487,0.2114070594998524,0.18104507156259614,0.19413646943868212,0.19300181833625135,0.19523134581463622
+112,0.34532785215895234,0.21459200848604743,0.35464424395323013,0.21880186691584697,0.28760885772667116,0.19398792423009065,0.2869798444610307,0.2300740366451671,0.2154919651212613,0.2536342406316094,0.27112816121201944,0.21509282594782791,0.3120509024047609,0.23510033668817404,0.22631765238341725,0.3302996626524519,0.2373582099412227,0.2316012738646178,0.2736004313048189,0.22276311390806638,0.2409082558162877,0.23015605536668168,0.25586050796170623,0.20991216481346156,0.2411849165852258,0.34626034852382753,0.16930125024895112,0.23609427510974731,0.2126794296361357,0.22012545169929346,0.22361762003268829,0.1427096022281228,0.21176091990568555,0.2527000049632621,0.2477052017347609,0.2160513180581602,0.22471780935179023,0.2015336141535526,0.3007457984238015,0.1895774297276846,0.2132973073832833,0.0,0.16017385704597437,0.2775847363266914,0.20819254379783825,0.22202638151623788,0.22665023397775058,0.23374072020987322,0.22852998963408722,0.24649428698238457,0.267331079195447,0.2967584469092724,0.27504025675177357,0.2802957132876156,0.2218281770896442,0.3275277104824822,0.22488780763397279,0.231652437989721,0.19854449789185685,0.2347214857807255,0.20370702636829663,0.20670169134481317,0.22410514210561847,0.23297943052108103,0.19764679741573254,0.1917794374007682,0.19587790323582688,0.22782207001267604,0.22667005424533798,0.21723213786172899,0.23193958514801863,0.21189752520323238,0.22901461266146275,0.26457977271381666,0.2419552555458251,0.22670607831434492,0.23107155528344164,0.20351805296687217,0.2145562705538882,0.2497662789075081,0.21728425917143934,0.25451444152538516,0.225032057347027,0.20033759502411955,0.21903700505514992,0.2223572591586779,0.22531465221850325,0.22163398855035624,0.29816282919787823,0.2226180029168605,0.21510409895863225,0.2902739084154477,0.2619329590994619,0.2319324744818363,0.2399832768491324,0.20867068648714604,0.19204883473077108,0.1751903373903471,0.17838191609388274,0.19711378639003718,0.18765398549774973,0.24027601055244857,0.23357824973404126,0.21443156698176302,0.21946364972496255,0.22159820857123258,0.24047219394684607,0.23037654229365662,0.2355949146586895,0.21773147291759518,0.21726246440306113,0.20021747674211413,0.2148174756668622,0.22051963378546421,0.2203112270042674,0.25763785666076733,0.22544219184291656,0.20117938870357377,0.19074420963966277,0.20401261908974472,0.22403933444018165,0.2903421956999932,0.31270924332878564,0.3111289886047503,0.274989080582011,0.3304060538042881,0.231320174052537,0.25082061080041623,0.22628421491763992,0.2101676877435013,0.24147644814940974,0.22120161948134243,0.2623913259002878,0.22914802262239994,0.21949598544692406,0.250878634162811,0.33851522944035195,0.2294363355073496,0.22647784192646592,0.24397098686225255,0.22562793029532385,0.2268114223605423,0.28555014517417204,0.22298540796806102,0.2157514874666129,0.24734431659224212,0.22651073948668196,0.22458411402347694,0.2258368587721262,0.2209391570700926,0.22471600571912606,0.22000703323306287,0.2120759760473139,0.28103378284438624,0.19656399748524883,0.22092137882266613,0.24297849004101127,0.22248694863061247,0.2123902523296154,0.2566695292277899,0.2005852469806388,0.22427496079580703,0.22154856051020333,0.22134474989975084,0.25663993406612484,0.25830765229479963,0.27417037090052976,0.2352017390793783,0.22454008837256376,0.22650059217531177,0.2397792406658764,0.20723629492415815,0.19119229185753556,0.21996913714140628,0.22541209362256537,0.22790216545223124,0.17713991662180048,0.21873631149400172,0.24986322267497219,0.21837797377649473,0.2330721934750804,0.2255486161203689,0.22386390704063117,0.23600304321624516,0.218278640686587,0.1943965431462387,0.24401811581232696,0.22420034991881155,0.2355868536678355,0.233267891031722,0.26019443291157074,0.2267772275174617,0.23339460046270635,0.23117022675256485,0.22783086490057355,0.24015371714312073,0.2280513881403754,0.21694692089407228,0.2259272382003877,0.21801083371912747,0.22565996223014548,0.22332216260022256,0.21451658496628404,0.22027363386576088,0.21861625357098738,0.2015505027938823,0.2221729402567152,0.21814206642803527,0.21142186702989488,0.2268338024423353,0.21954346303685982,0.2369439549469158,0.2205941992659847,0.2321724649095736,0.22985821862541475,0.21042783299433085,0.2231648863745019,0.23812110443585088,0.2277633282483939,0.23086457641428673,0.22522524273075753,0.22788812114817147,0.22041227366266272,0.22657369290934562,0.22483970716592724,0.22510301730591006,0.22649543239692524,0.2280603404871694,0.22528835817306497,0.23710134903250746,0.22520761907679254,0.22840936566174835,0.22465029811446638,0.22203596884601126,0.22566899398382526,0.22674022947029254,0.22671121063143812,0.23646327062046196,0.22704544883215208,0.22611469806314977,0.22896044823064685,0.23513970699836378,0.22537551993654575,0.22738334348234793,0.22671191742573524
+101,0.2976283073763768,0.1275234815542715,0.3403224054652488,0.16767690699015728,0.2858842657974461,0.12599739843683333,0.2814221229312012,0.17917866798848553,0.16666840929082208,0.20612675851119164,0.20732770218519633,0.11885490304174094,0.2816733036506156,0.20247325610503702,0.18229047752476038,0.2997001636319623,0.1595453905472993,0.18940982091871889,0.22016202493354983,0.19264284371393522,0.22309124128172914,0.2187615067439522,0.18769305364955308,0.17913652049133785,0.2660055566847176,0.31697486392173047,0.20760124818206202,0.2464025861127749,0.10518133079460436,0.1193481262167062,0.13031910679262765,0.16145578466222862,0.13258216284085111,0.18736295967912442,0.16964930568239267,0.11580675117116634,0.12561068456373567,0.16564537126211631,0.2530973253521461,0.10631020276064337,0.18421795568726898,0.16017385704597437,0.0,0.24051979264860343,0.21409347724042574,0.12313483242579942,0.13142480003123497,0.14496670678958445,0.12992213409112913,0.20046336889420743,0.22053249675228673,0.27695978678751015,0.2390269000089887,0.23340646677336577,0.12602695452973936,0.27571748984391836,0.1480169326996145,0.13471028664965468,0.16430126580031384,0.15647626364618203,0.12892462718994546,0.15075335467524933,0.21307683428720056,0.18038514906732767,0.10940791644430845,0.12748094431929233,0.21994788374501384,0.14680909028264894,0.1363497995542677,0.2085074920741816,0.16080689812753055,0.13849601481648166,0.12797448095922276,0.1927057764324105,0.2117057549876148,0.1651200575300175,0.13092494175895963,0.15616184910110337,0.12553569005309748,0.19068334917520213,0.21572822096504377,0.19404755103733964,0.1507299152409184,0.14678049921116249,0.15298955342298715,0.15638701580842027,0.128241435674852,0.12780233626508894,0.2834906102908216,0.12568379279664993,0.12211551230649732,0.23985887041777776,0.19488353961566982,0.17146773131324491,0.186702300619861,0.14207571745015843,0.10748758312650464,0.1139441400011751,0.12103972520565298,0.15876146830137405,0.10046961165651849,0.17881597444833874,0.17791939433538945,0.12190460890999019,0.1414344676435232,0.14381958752361157,0.1586259070366474,0.1432932651520008,0.15810188389736618,0.15418166411811488,0.17248660500708357,0.15109555215181916,0.12407046312333377,0.11954942353632927,0.12057597456561632,0.20721531893248624,0.14793333504306957,0.12736615371830676,0.1616636558460751,0.1369224756388034,0.1678327332156982,0.22685802107903746,0.25657130984256815,0.25229698051067734,0.2084156699465906,0.27572402214813624,0.14480426724913778,0.17728077134247586,0.14194788016249907,0.12829332086902465,0.16056954972778864,0.12804517582955866,0.22701153870967825,0.16155158062113137,0.16595695556005505,0.1673272594549872,0.28748573368913144,0.16757543622272417,0.1284466170795872,0.16427648716395227,0.14815366175307942,0.12458773288830927,0.22115672989592375,0.12635911749262763,0.1241812608512967,0.17176324978232552,0.1297780570857395,0.12228919202982239,0.12635535412410462,0.12521819126662256,0.15356178781979682,0.11791926473506027,0.13340390953890885,0.2655431855732054,0.14547238253786718,0.21295767688271877,0.1732836138875859,0.18608602719250095,0.10885675814354792,0.19186780200907577,0.12495468596273762,0.12349499347280728,0.1198201304880954,0.12289783048757101,0.1655920490295724,0.1655508743870839,0.19278346624105774,0.1457239985320487,0.11619614686200765,0.12387174380237821,0.14958175503362695,0.11554298362514202,0.1180514836818654,0.1582337037159289,0.1396607398041077,0.1254304517390991,0.09593822067161678,0.14513030262771368,0.18105928230082868,0.12048941409258436,0.16557311633386726,0.13637157241711198,0.13103271895334678,0.16493056741637668,0.1590393678520011,0.1041077014059885,0.21509666539933042,0.13176709851417498,0.20949157515755445,0.17036157559585524,0.18788879538474954,0.1390446365371768,0.14504789364990556,0.16363361861837145,0.12667358823904626,0.15132101862258798,0.12738537424226193,0.121791188238899,0.12315455798709456,0.14537873303546392,0.13249779972053424,0.12107589392648259,0.12251446822840617,0.12964664112907026,0.1359003041033489,0.13891261172045338,0.12624114705901487,0.14776044548635972,0.13558949151102542,0.12196269395859766,0.13608972429289962,0.14041495976732918,0.123299426866302,0.12742426130413984,0.13210812212321268,0.11998353442214962,0.1718915904644258,0.14094052856181002,0.12375347256751087,0.13841088138761254,0.1226298961529119,0.12479596716727905,0.11837451777243128,0.12269900888409019,0.12152509892388885,0.1207419296360651,0.1291180175490119,0.1243855410363964,0.12540042954488048,0.1473875157807456,0.12501350912518633,0.12825668946709048,0.12943240950983598,0.12487143403111187,0.12320191273861494,0.1250258694640892,0.12204280593386026,0.13969053866875075,0.12224337124748125,0.12209266868769938,0.19007585908126007,0.15096227466584877,0.12362282257637625,0.12406549492021522,0.12244654730836876
+27,0.37572724769666416,0.24134565077545225,0.38630730972643,0.2691571995522398,0.3129303190221922,0.2582643927211072,0.3627671358574518,0.29071034867020934,0.24837335812506747,0.3216803906386437,0.29813093494096976,0.24807700177948835,0.3458191204146379,0.30086559517707206,0.29526590609753856,0.35689535642846093,0.288914522323205,0.30213074616663843,0.3035793371432772,0.2964392030808088,0.3274981411364443,0.3257362135797429,0.30762569540927004,0.2951510627295406,0.28244321249869364,0.3581705283146519,0.30072096214036337,0.31174053245934974,0.26221123807410035,0.26364893636364084,0.2640189074899591,0.23323111595785148,0.26889283274227543,0.30133984167856753,0.2855679415399268,0.2577729672411178,0.26281238108699256,0.3012935734341102,0.33905502622025807,0.25882609742482665,0.2949460965867313,0.2775847363266914,0.24051979264860343,5.268356063861754e-09,0.32409826537233344,0.2612326988745153,0.2660053907797439,0.2719548599063311,0.2628028971048842,0.2881175883325495,0.216854967014014,0.14662349077297426,0.12565261821438825,0.13976008419949418,0.25919868158763,0.3589059939719672,0.2753679239255642,0.2677866287887214,0.3036662206868991,0.2817701498922987,0.2514205075568067,0.16488188010459506,0.31096380871155016,0.2922627654253869,0.25801892833452333,0.2657767604228311,0.3347699652945737,0.273725871208617,0.2792511129130557,0.32501359392666096,0.2900255610000357,0.2830404375749746,0.26498001092312506,0.29969772502434927,0.3225030867543361,0.28413613217996025,0.26594878117067555,0.2804970923911891,0.2660691932824982,0.29770478242857096,0.3155748694047062,0.14015147780624396,0.20152957688387904,0.18978597372627243,0.16300211968933018,0.18666157664582927,0.2591049275378241,0.2643492399950027,0.3646307600267948,0.2629330366135474,0.2560490452191465,0.31856259112350843,0.29775594026152563,0.2764178115609245,0.2959472424854744,0.2727535900345882,0.2666412983768859,0.22262347952236114,0.2683776512428756,0.27191310472331703,0.23362659280768222,0.2916637728966825,0.2971799888071307,0.25886830904400027,0.2703451579499392,0.26777215425622625,0.2782422365111306,0.26806540914314325,0.2463595690966982,0.27153564751965564,0.2915742733286397,0.2783710851622273,0.2581530151375391,0.2650159467807345,0.2703621657607612,0.1478960227766229,0.17251968718121194,0.2067605720874776,0.28529394481885717,0.2660737506590456,0.2857549800371219,0.3255525572360463,0.34478353766175585,0.3427613503569963,0.31275758101650825,0.3620013166079046,0.2601155348982552,0.2762399203622847,0.27020625872986065,0.23080492348362783,0.28247395520103813,0.26423066344467044,0.297279215312529,0.282259952092365,0.28451297076245596,0.2854536624537307,0.36930980582918227,0.2902802720276543,0.2636680123898436,0.2802455794581748,0.2685747866290659,0.2611344676750516,0.3191884380878558,0.26264064001375875,0.26207168675463094,0.28107393161578126,0.2636953275541909,0.25922488818794104,0.2598831201964297,0.2611083167014608,0.27573601517924745,0.26373555666787557,0.2781126107796162,0.34497054602616967,0.2671934358854078,0.30282175685812723,0.28635268409907005,0.2832935067189188,0.2554794163180558,0.29261005958827613,0.26732813854968834,0.26011541070879113,0.263815731860306,0.2635620654463713,0.3013198101289684,0.30111742275963277,0.31992490318460437,0.2864013835322711,0.26958193671554104,0.2615685519557414,0.2739813189439894,0.25747837397793655,0.2663765190092354,0.2791580635280711,0.27114476479596394,0.2629398729869665,0.2578906956272518,0.268065907137231,0.295967408586049,0.2590044171332839,0.2812806140146623,0.2669529446270313,0.26595577946626286,0.28382009847426903,0.2751936754169583,0.2565982003099047,0.3184779359382986,0.26582447140148535,0.31716999235650606,0.2808504097237089,0.30425263743598685,0.2694547819838652,0.28076611210874003,0.279270122143868,0.24863022001510743,0.27537697293377333,0.26225276933680775,0.25910507070288025,0.25950133642175754,0.26686770742857685,0.25969742569386733,0.2604894541723872,0.25912025103859493,0.26267433693418984,0.2689905022833942,0.27207743848963756,0.26321784550786276,0.2716358705789918,0.2675516973691015,0.26142356861369814,0.261202157957251,0.2698909410055168,0.2424876802852159,0.2729934390088124,0.2659274851741012,0.2591110195915056,0.2893712065965039,0.27143808496192906,0.261926150830474,0.26627220460267464,0.260441757445012,0.26302311333891537,0.2595305534780451,0.261565075933648,0.24748161090924728,0.2613768582202228,0.26501535765219114,0.26281606147611375,0.25134742176455693,0.2736710448149713,0.26238166075437813,0.2631905523646233,0.25900559854523614,0.26210268063115877,0.2599848616514307,0.2598329015312601,0.2616878640030459,0.27038923140068927,0.26179326224360044,0.26074375201010036,0.28439132260881567,0.2720166824657541,0.2611388579536951,0.26082707318264764,0.261556633632815
+247,0.3255464311164119,0.21842824205079597,0.3065370214564376,0.2144402149754148,0.2663236613938072,0.1968870043332486,0.2607733977910532,0.20487570730933996,0.21641920263355224,0.2292204766887387,0.2668267942018894,0.22957588586048733,0.28916800736268233,0.2423451116122389,0.22822385164463585,0.32069542986971217,0.22104371904725612,0.22752967163872162,0.27357335044361347,0.2183120778224124,0.25244691976928857,0.24235068831079865,0.2471126041643892,0.19502732510862458,0.2722008267882048,0.33950814628700693,0.195923480595823,0.18917164713856754,0.22305506381857024,0.22766521328460101,0.22837869881095815,0.2412796219594072,0.2231941716284022,0.24230953817982456,0.2477615047122602,0.22334031561217801,0.2397337142206746,0.21001931613185953,0.2846783863092764,0.20538714203107697,0.22855953067901072,0.20819254379783825,0.21409347724042574,0.32409826537233344,6.452392069879462e-09,0.23416021901919024,0.2367210552522341,0.24230125362543,0.23659331349193596,0.24155310911919411,0.26823180406329916,0.358953728418161,0.3224979592767495,0.31883900352273087,0.23700941390991695,0.31045908848723797,0.19769974592562567,0.23796888358074203,0.19398176977705608,0.2364491920200447,0.2114815131078467,0.2574002799602787,0.2192607610761136,0.20972669226527987,0.20996360056811506,0.19876414582494545,0.22335346159818048,0.22624914992830084,0.2289774047018863,0.2211631683382545,0.23576114126907127,0.2174758365130247,0.24107078437154544,0.2581011990548207,0.20543238068204123,0.20548546288638833,0.2418874192956392,0.19955407767886293,0.22111398164343585,0.24916008168330492,0.18342330294794507,0.29016530186732603,0.25717459878626414,0.2551233291963571,0.26370873354699675,0.26337517065984467,0.23327894282926928,0.23166724349988946,0.27930928852201564,0.23636984449733847,0.21566232950891367,0.28451597508985005,0.2633240948208235,0.23924465396745573,0.23455235599912336,0.2038011868806963,0.2237507368806904,0.22172262360680187,0.18251921933685694,0.18529847974499775,0.22583438156943192,0.2222276895467617,0.21084829553510642,0.22178921555412462,0.20914458834832092,0.23143531001188847,0.24856731213671118,0.2435087601314675,0.252303986647251,0.22377461562251985,0.20205939204994794,0.21472556712237992,0.23622307165519202,0.2255272058131833,0.2277052737361398,0.30204854354583927,0.2575680380808368,0.22133536201549547,0.165940463233688,0.20093878269240653,0.19171477276269228,0.28418051307906544,0.30015352433830383,0.3006588776764923,0.2669854517060456,0.31916555829923204,0.23200694670875882,0.2497481577236487,0.23001627400828561,0.222766828115811,0.24362075160391572,0.22915086333080767,0.2862836526295158,0.22307057850205286,0.2364575910963244,0.25156084237040865,0.3155968401574061,0.22565176244732282,0.24031783497985235,0.24589323200833482,0.22476321202355354,0.23611948038868388,0.2653267989064493,0.2329038936392529,0.22399197133340487,0.24939880035441003,0.23319896326350012,0.23687885013954957,0.2371229050604046,0.23472541849427436,0.22140789589259874,0.23748341003204648,0.22927085826565877,0.24376124383004366,0.19897185604449066,0.2191150542283393,0.2477645628850047,0.20325460995652064,0.2216071797561179,0.25877481485551107,0.2258924345461065,0.23535222428081776,0.23062512316414552,0.23211902546894633,0.26221377556682124,0.2634021874065503,0.27812426428904224,0.22735399333423786,0.23112220420987967,0.23800371135773205,0.2448050219798949,0.2185926880826848,0.21505726051583512,0.23106821739490854,0.22399077521734492,0.23910015253686764,0.21230416984657052,0.21884653201724427,0.23634948478274073,0.22889007771018105,0.2365329887877456,0.22842421138258548,0.23442004362007665,0.23916710809534245,0.20627756355921864,0.21639738936211952,0.22184866888332735,0.22366944185356616,0.2287611565722563,0.2417404426001368,0.25306608417442106,0.2406118621019809,0.23152654656644348,0.2383710088517975,0.23885284056605177,0.23961509913762302,0.24029063755416005,0.2286864683887529,0.23621310783615523,0.20140866738517554,0.2379265470424329,0.23372817233220247,0.2223784425246395,0.22767437539268257,0.2257093671503049,0.20873392069352542,0.23699262247894315,0.22956371832323513,0.19398473955300766,0.23896444814239742,0.23665698228372015,0.24461636371803977,0.2392997838565163,0.24110513315183865,0.22962983498533954,0.21849627194748056,0.20873681221054308,0.2490988921554826,0.23783590681356823,0.23808545187807734,0.23630054903948286,0.23972193582464538,0.23103991628199805,0.23813973749521566,0.23780515219961088,0.2388076528049101,0.2313550500232534,0.23804594235345838,0.2368219349346409,0.2379886605555492,0.23766769043039712,0.24013167403101596,0.2375187242277509,0.22854046136459333,0.2360895552301601,0.23781603591104714,0.23828649838684454,0.24828553309812956,0.23874301171577933,0.23802679475671068,0.23646179411763707,0.2455985545073372,0.23750083877602118,0.23608189601221286,0.23786278512717549
+253,0.2838520431382156,0.11205017252078123,0.3710778289011045,0.17865225176905009,0.3093214409283495,0.11475466432899746,0.29680237335545967,0.18310537350822076,0.1503774266783068,0.21585349510114255,0.2124165087100707,0.05580554743286533,0.28597708413628,0.19762222292160708,0.17841837950887235,0.30110492716243353,0.15954187047998383,0.1991837344606157,0.20859515017976418,0.1899589796148305,0.23993714588623988,0.23779919252068826,0.1953960211693739,0.18400010963327373,0.31961027356986216,0.33913907195958426,0.248597414772081,0.2609635541872528,0.07325791591603055,0.07660988992732644,0.07717312978548574,0.2261968122210848,0.0942438464725363,0.1857736403295579,0.12196073619702753,0.04634310101649446,0.04719821918935386,0.1808214564521829,0.26375305042134817,0.10300824114969062,0.18994676317981182,0.22202638151623788,0.12313483242579942,0.26123269887451533,0.23416021901919024,6.585445079827193e-10,0.06130203792101667,0.08874913046588273,0.05413624899706095,0.18901864639882268,0.22043343188839673,0.3091640578511473,0.26327740797709887,0.24489443926083576,0.0587105040982961,0.26003343857544037,0.11215530457971651,0.0687857426239153,0.20190378379055476,0.12494565895971063,0.11439459731754896,0.15323504243931166,0.20311603473508177,0.15664711772492249,0.06697373284244636,0.10463604834748517,0.2743072942564665,0.13811771181201082,0.1223128515369183,0.23007683010074378,0.15701894621122925,0.13821952733999585,0.05515022165967862,0.15257608047022714,0.2242771182281489,0.14123983791967493,0.060682960364240056,0.16732916437688541,0.09087801019274032,0.16267918665595602,0.23027017419489498,0.1948435177252295,0.12933744850276174,0.15374182893925759,0.1527221268155654,0.15568037358536227,0.04875259534811947,0.07040442154958398,0.28590071361382324,0.046224527873796675,0.07393817361862395,0.23237293515400115,0.19311557023916362,0.1522521493389767,0.17055261531721827,0.12247266982693111,0.10127925862019242,0.11574398008595016,0.11648447089655838,0.15841033997909817,0.07553343047072464,0.1588543135152281,0.16537607423808093,0.06929947114614292,0.09375900295523709,0.0998006251961177,0.11028452105414431,0.09065140115008198,0.12996122163847215,0.11566364782199855,0.15646701431172805,0.12236086833032193,0.08713890114499977,0.09470939430987599,0.10202315291670037,0.21196418861177388,0.1338674140961281,0.1022261501608765,0.1669297917521652,0.09293747609716053,0.1513141665943851,0.2039868347963085,0.23868733523004043,0.2304245340453789,0.19278920407367112,0.25845099272773947,0.10547050246058945,0.14674990163629353,0.09111732868336056,0.09898630371073502,0.118298882094395,0.06678822524929456,0.2287032259540889,0.12790004172716435,0.12867716018723238,0.12375390829615607,0.27123131807860723,0.1541477746953954,0.040275534506051196,0.11580593669024428,0.1009046509199816,0.04719499468853348,0.1951690408927023,0.04530836161722633,0.06198608709364416,0.13740737730718053,0.059492264206572804,0.036264546982784265,0.047541560391974366,0.05329755875006434,0.11034640149086083,0.08064796037687764,0.11786128552562622,0.27725864746504625,0.12545459281174653,0.2056557343086895,0.13646978542669477,0.17362801462186,0.054396844004017245,0.164346372666181,0.07798091554465353,0.04057915855658274,0.059525660080209326,0.05686230442266786,0.15570727093145115,0.15607251688795226,0.18932539163504525,0.125591675194145,0.08655776994738247,0.04429315158848549,0.09438804319918179,0.07172025108490424,0.09309337619956498,0.12423346581308888,0.09631661702081165,0.04703442864844888,0.09644326816860012,0.10242598247330048,0.1670452558851442,0.04447679477543545,0.13104302171491086,0.07972788139206666,0.06493831412463337,0.12385700287963924,0.14008564541516672,0.06144299872149118,0.21805851227847547,0.06692714832220241,0.21136667897030714,0.13796598766320803,0.17136019821633489,0.0665656511488803,0.1160120568708346,0.13462236582796866,0.05916747583990014,0.09339050865753278,0.05315393898028049,0.04172632867521405,0.041638061879179324,0.09871739185599371,0.071278868891272,0.044389575216326416,0.05812122586717231,0.06543209572769512,0.08537205968414262,0.1153399917753544,0.04478341960408425,0.11683881053590837,0.10141632287789354,0.039069803370670377,0.09283600436769188,0.07680610902906916,0.0656880386205647,0.09902874403098043,0.059947573764181784,0.059190229944318634,0.15295632983959093,0.08207222726569087,0.04466071137629648,0.07131480911012429,0.041759451977925355,0.045671691568533214,0.0387110352675241,0.043107290636403194,0.04852792838083831,0.038925903897383075,0.0647817137233418,0.04535343512230729,0.05187651711128762,0.08984275157980186,0.041731852712687124,0.05090081837736256,0.054714724404736806,0.050705871003553546,0.0413849189470395,0.04906341164305321,0.0393722266123873,0.0791677564752004,0.039731116819622825,0.03760148508214465,0.16475714780393205,0.09423420636579483,0.04324158561479147,0.043874833791834565,0.03855215981843547
+254,0.272103804233021,0.12169256478433885,0.37083033788970415,0.1880882088669263,0.3144546995655127,0.12195908456893902,0.3076347013717404,0.19139451964549495,0.15618600554960463,0.21991861894579226,0.2237702800551974,0.05488795418230288,0.28957146014522933,0.20265346225474168,0.17820654024932397,0.305958539316563,0.16946623857579918,0.2057048212346443,0.21164003941237566,0.1988667227195511,0.245326462994401,0.24379146802479076,0.20812161132723309,0.195514229066929,0.3271202898350396,0.3500546010599743,0.2522916937780887,0.2712316261903579,0.08771578742541461,0.08577560313349485,0.08386636613729752,0.23200907544757335,0.10844849354945028,0.19597878993519202,0.11571362310028631,0.06044290864306942,0.05530757806305813,0.18913819890151815,0.277968955830338,0.11258171656486791,0.1994056575512779,0.22665023397775058,0.13142480003123497,0.2660053907797439,0.2367210552522341,0.06130203792101667,0.0,0.10307696373443517,0.05665243618336174,0.2009720791999203,0.2199655191071748,0.3133599763709423,0.26766072150722225,0.24791550472213672,0.0577701352965767,0.24888050999674424,0.11751591735011678,0.07628132038444548,0.2089105748111776,0.12515410697625107,0.11963374818581733,0.15557619528219796,0.207813867860711,0.1698118140301793,0.07856800878547776,0.1181643964228764,0.2804003071422484,0.14932151747092587,0.13223948877853917,0.23350878535878114,0.1628816660764316,0.1502001901443088,0.06680830539009722,0.13281566955884602,0.2345438984250418,0.1473474082232488,0.06708043357604894,0.1697348066993409,0.10383032372473801,0.1684450516015628,0.23882853771661225,0.1996625190656454,0.13678666577688595,0.1563787629013367,0.1569378435588385,0.1636509744528185,0.06064199053679912,0.07549371674868632,0.29626994611961005,0.051545453519383826,0.08997952639483608,0.23713195887081195,0.21049767550518322,0.16043633674638494,0.17984500813824594,0.13657587031149346,0.11695327859536854,0.12173833027424112,0.12163046624116759,0.15468016974513926,0.08216772197599165,0.154560521351462,0.17580264548924607,0.07924482552537396,0.09872048419064275,0.11400105571596497,0.12081323794598084,0.09965893323204944,0.1350290013857346,0.1308151153563657,0.1657431812006505,0.13172480104176792,0.09675102141101119,0.10066509961008645,0.11229651668402985,0.21536010692549495,0.13927786983270626,0.105846733474473,0.17712444482728004,0.10250439700247721,0.16026074800900852,0.195354038403649,0.23175700188252837,0.2189110194192669,0.19080487519598072,0.2495105135235207,0.11082502862806214,0.14964828427815408,0.09990511568848592,0.10173814785993698,0.12604547023218454,0.07963934374158019,0.2325396688161604,0.1427681069026753,0.13529096570195998,0.11021074202066096,0.2584862345461409,0.1519312528327045,0.0687810997464538,0.12836303004524013,0.11866608277082194,0.057935395017397105,0.17847799049698937,0.059265436098155294,0.07998397400584498,0.1377410016033463,0.06491446811318531,0.05563813002040069,0.05765457619885333,0.07144356577589721,0.11790187347238171,0.09452038189405554,0.13196806804960165,0.28452060384346867,0.13174192143512292,0.2185193821572826,0.14740379215695376,0.18598804667454116,0.06527218525895842,0.16870056094769598,0.09004750114662184,0.06127508335051176,0.07536964812163277,0.07082170610021367,0.167384487383819,0.16785820646946414,0.19892950743189516,0.12791459781880063,0.09140030001631615,0.05503538403839724,0.07805948606081292,0.08385821627258803,0.10398500084173591,0.13380338724500107,0.1055658602611946,0.04670954306788009,0.09147348321217819,0.1061232448264815,0.17392298543197793,0.05773320607559269,0.1431214168818045,0.0887295479898591,0.07977895530159354,0.13491100716787505,0.153202834425451,0.06449793893456801,0.2279526798690017,0.07426468970159361,0.21821313168354567,0.15021805121449652,0.18260134396485073,0.07741875032027365,0.13051841360990263,0.14439817694348123,0.06969749830167192,0.08585616261239842,0.0625951817334618,0.05886121125845668,0.05334613388762596,0.11237554396871206,0.08162772749787243,0.05002636595335849,0.07921907081832982,0.0783265577214851,0.09254160524019397,0.12291003123569308,0.05823161884113002,0.12460316836258961,0.11101370027570082,0.051320552045927725,0.0903980884748637,0.0728950419646512,0.06578081549188862,0.11129011059087676,0.057911944239335246,0.0762738274250157,0.16427618445954004,0.08983655015918994,0.05547454117765037,0.08023959688459249,0.0549924920342138,0.05736802394718367,0.055540952089865134,0.05434386544074578,0.061147855956760394,0.04986070870703408,0.07571489312205225,0.054449274544709075,0.06350842706142999,0.0892519445040164,0.05185409883202334,0.06640894575061554,0.058841537813449654,0.06877995463068355,0.053379285301425015,0.06204870023043658,0.05127766552287688,0.08599829697193788,0.049579739821240316,0.05192630633604285,0.1794223660057441,0.10385106849243754,0.05624691005609445,0.05103691194513118,0.04592733794210181
+210,0.296220205371059,0.12784601838017634,0.3769129506073065,0.1768301079551514,0.3156290312552026,0.13808539550687088,0.3054811351191638,0.19563106290278076,0.16983610103469932,0.23252590853453745,0.22911052822136235,0.0986835757767642,0.2960204057428048,0.21118573170750424,0.18590159304227022,0.31167248285888677,0.18069653165118021,0.20877856383321958,0.224197782247063,0.20157760215326753,0.2532499186330963,0.24772308567866447,0.2148418488901632,0.18921565663584086,0.32487302735801843,0.3497594203153062,0.2562886434319487,0.24064560148099004,0.10805377895934411,0.1107724082290216,0.10335713629394475,0.23715463005230858,0.12522809838091759,0.20572557678011164,0.1485940376855468,0.09091613036135764,0.09435441664121398,0.19747841133449243,0.28158226920315277,0.12421741401767157,0.19369931860638626,0.23374072020987322,0.14496670678958445,0.2719548599063311,0.24230125362543,0.08874913046588273,0.10307696373443517,0.0,0.08062737783503504,0.15641837896015098,0.23457789624619216,0.318517968083442,0.2743253257363563,0.25585489006358214,0.09931213869839339,0.27271047462125814,0.1355821455800529,0.10666740095108906,0.2127106163571526,0.14766091050030689,0.13744578721374096,0.17107839305850583,0.21279385479828092,0.1391217617247775,0.08310072334102177,0.12592616415119104,0.2759172690387311,0.15582731451371684,0.1419082766983509,0.24061042989707496,0.1729051242187999,0.15215825209314096,0.09966039671442031,0.17791172608728834,0.2314981111284751,0.15336117218166287,0.10170535731849355,0.18190036687219402,0.10576173098988821,0.14366485775345184,0.23486177747780387,0.2099562887747887,0.14187382919766692,0.17078862463677144,0.17150196716235003,0.17470699228698708,0.09892189502751181,0.10452285690385571,0.29415984995877176,0.09517832578399024,0.10986465752252653,0.24563073768244828,0.2189417234844681,0.16979581042020087,0.18703585003486936,0.13640483118233065,0.13711284306932398,0.13976545103949248,0.13830014690397127,0.17127421308632496,0.10970627051460397,0.17707156327108758,0.18622693557455425,0.10500436583516295,0.12039609823300779,0.12126419228612526,0.07161354131772116,0.12243281174226175,0.15389220109724183,0.12713335636651252,0.17606976761657894,0.1410369356229947,0.11691581205712824,0.12266825570805472,0.13134870783788846,0.22597912219022803,0.15679129556631372,0.1270665449289463,0.15794497642244268,0.12175777928894439,0.16770814573556528,0.22020299392970694,0.25120488817113695,0.2462496818539169,0.20816717367874635,0.27251537282410576,0.1329662636761195,0.1667034934795079,0.11832174959091402,0.13362087213221677,0.13833914747997092,0.1065889326785795,0.2441719588478919,0.1414269172695464,0.15505135755610497,0.15001620562838494,0.2844466879424913,0.17372109849686085,0.08504933699939812,0.14553003376404272,0.13447479146859206,0.09402636941187427,0.2138103152536416,0.0932481929498511,0.09757055065402569,0.16123100476722454,0.10089785981171948,0.0864562247132019,0.09333920400725683,0.09840595964488363,0.12286825072814729,0.11600429002068759,0.14877612386198627,0.28581173069466076,0.14474395488420091,0.21703338350081855,0.10051199877755476,0.1880556267700186,0.09745477897085386,0.18457970057420434,0.11641836264503656,0.09170019854525416,0.09501109486401,0.09357972080497175,0.18148811620324018,0.18137295901943898,0.21208122949698044,0.15387238146061802,0.12173149528386416,0.09292339581823642,0.12694231552814023,0.08020404030786286,0.12075878369491698,0.14041095837132173,0.1257250478177406,0.09480430332183765,0.12281077278108207,0.13121808683841846,0.18541604845610743,0.09428475049583508,0.1540068461296863,0.1138402017053764,0.06920550814717717,0.14889098251449717,0.16109232053159891,0.09288160331374762,0.22990071736753911,0.10837512476573741,0.22407328688248468,0.16405387538311092,0.1932128101573368,0.10992171119022395,0.1365744898372675,0.15195977758473345,0.09385839495078958,0.12611232995452648,0.07806261319409716,0.09098116570468132,0.09243068450459199,0.12749221678683076,0.08957149052963281,0.09192467992637877,0.10109392350596065,0.10209212195279815,0.11618792656156059,0.13676276238990864,0.09654351954158999,0.1423996742036933,0.12353798573608918,0.0896243224154051,0.12181647237594563,0.11000898398420351,0.10443743968890966,0.13211709492360094,0.10362799213480699,0.09930964026150207,0.1767158882425258,0.11606508499991253,0.0923109082774524,0.10994952048902992,0.0911988690797608,0.09259726753713278,0.0902537305343042,0.09128562336137087,0.09457931922926378,0.08995788694628246,0.10300957436676351,0.09309194285286868,0.09585018271112612,0.12413571032434098,0.09306512914143951,0.0636450847789403,0.10209874540423525,0.09778080918017272,0.08750384073326362,0.09441147872158766,0.09007139936261582,0.11332509744747433,0.09031774518876823,0.09022690288739865,0.17846197898852442,0.1306958915792528,0.0892636555897988,0.09270266452830013,0.09061922171813103
+127,0.2850475594823546,0.11545026018643849,0.37274084932415585,0.17821502243298917,0.31379283947280984,0.11715592860590632,0.30349789060775506,0.19009702148308194,0.15447894021370095,0.2215596448225642,0.21736359175891284,0.05870794788194163,0.288029453360267,0.20451004267064726,0.1769168300688613,0.3047648051086105,0.16945786832717838,0.20365087408984678,0.2118079167638164,0.19472283774130952,0.24482354197343964,0.24173642867232253,0.20252062139396348,0.1899970032299898,0.32515208322897804,0.347096908695082,0.25032944734303775,0.257843036721764,0.08299126710438084,0.08382281681528195,0.08296802577565655,0.2316943709571332,0.10239258769873054,0.19554775857055393,0.11800427960131946,0.05362166296055959,0.051742535526034646,0.18858008960127623,0.2724322678601615,0.10218627478137698,0.19420178931936316,0.22852998963408722,0.12992213409112913,0.2628028971048842,0.23659331349193596,0.05413624899706095,0.05665243618336174,0.08062737783503504,0.0,0.18190277946320485,0.2189787400746619,0.311971315642743,0.26668236335410483,0.24821143070776625,0.06610230790489299,0.26117804651415233,0.11766303933594267,0.06950212832056515,0.20697951270134748,0.12806868699351767,0.119417254459098,0.15813883982217933,0.20394504199921112,0.1535329196718604,0.06868281069172369,0.11344562302723143,0.2785362120022689,0.14452402278977544,0.13098889944183562,0.23492133242093097,0.1600683476642841,0.14564435107261614,0.06330460737356507,0.15517327974830514,0.23069373343025787,0.14347982242293478,0.06657408908458513,0.17053059918681399,0.09411385950148528,0.16043501531579873,0.2343667339620558,0.1980405917060727,0.12095349837377563,0.1544773851580955,0.1579371207428904,0.15946169697752088,0.05234284800591532,0.07764959684229254,0.292853563959021,0.05282340976664005,0.08305362979200244,0.23548043256226125,0.20509806753212542,0.15834111669103546,0.17591303926365012,0.12487832645267949,0.11781986805447245,0.12330931779576862,0.1191978707984707,0.1591592215345954,0.08358355952757737,0.158244165197819,0.17516623306272128,0.07320042239303198,0.10213171818775763,0.10907219708848175,0.09331733374028933,0.10152776925821183,0.13474117486119286,0.1232518383429213,0.16488517837594363,0.13099671404541752,0.09620502874451785,0.10104423334583175,0.11056622194671416,0.21403768127139253,0.13663876091594626,0.10750659951558779,0.1663378868342841,0.09510265444624579,0.15725011982924703,0.20575118242858445,0.23998382561759726,0.23323192661823672,0.19464647925555115,0.2610606735713302,0.11109060497885734,0.15020065144900843,0.09418849727573414,0.10399247437597726,0.1211455868145307,0.0724864328563266,0.2311925019746617,0.13075134695198984,0.13690863831982292,0.12594784301660666,0.2723200722381712,0.15617798095380675,0.050773408125550513,0.12103303297863505,0.11554976501907371,0.05422211138229512,0.19625946432577615,0.055105996598899656,0.07088540480967025,0.13839059441683924,0.06424755362760147,0.0498556154967645,0.04120706062499918,0.06274579648145809,0.11485826737129363,0.09070552152362456,0.13084523079636215,0.2814581906457121,0.1278611676712973,0.21035449127982347,0.12870756825383758,0.18240416129738482,0.06113896112498456,0.16865885842171552,0.08814777611253471,0.04431516358250562,0.07321895334049475,0.0712403018600357,0.1659640165885579,0.16545650611319582,0.19928535948979242,0.13112403783647628,0.09249781242436865,0.05175988568840482,0.09378982719667589,0.07434172535434806,0.09992006047664712,0.12867465969143593,0.10285947620504371,0.05551792506026571,0.09645861281993964,0.10746699647000861,0.1729150424732334,0.05293283251519248,0.1383141659908347,0.08352097217426326,0.0676509696708084,0.13218102505015192,0.14410707305952436,0.06715744982665141,0.22471050230785383,0.07547802283170411,0.2166022238664115,0.14991091007165874,0.180828236492422,0.07462828723393407,0.12501334049086107,0.14019974978080935,0.06599739438972715,0.09565277175976411,0.04411077845937263,0.05271846087259415,0.04893637475221991,0.10673160720175184,0.060531755795309325,0.054422694727974015,0.07118770863430017,0.0723511503209058,0.08433586044383408,0.11744427133732475,0.05555070006074703,0.12093784491781824,0.10619619066551213,0.04683270494046862,0.09825297717117171,0.08298795363519981,0.07384055660648306,0.10848129281811673,0.058130077040569696,0.06756408023904877,0.1636187293927543,0.08161038058839747,0.05259481731346343,0.07635380409864119,0.04262370928382407,0.05346476191202337,0.04972320644294564,0.04811354333376603,0.05640078256713404,0.04896673269254143,0.07303850536607323,0.052867260165317696,0.05475727541566575,0.09544239364199236,0.04923250240968083,0.05496215713139067,0.05726042652950295,0.064420612143944,0.049823011899840536,0.05553879254075485,0.04835785086525771,0.08420555607684665,0.04812686107305703,0.0471928083771373,0.17285703535411778,0.10305021292115277,0.043982282247319225,0.04503091876635514,0.04477917472072198
+124,0.3275936163658547,0.16356762209639858,0.33557122599460915,0.1758929854898974,0.2707833412932692,0.18110029392262458,0.28823125932378274,0.21514101435996383,0.1913438337881011,0.24357644997540479,0.2236394379436689,0.18646847532635788,0.30797687945896524,0.24308611355198517,0.2205761200204391,0.3215947067134649,0.21357707481037905,0.23529452882211097,0.2621787374745866,0.21286587089043654,0.2557245471544997,0.26502440430426566,0.22469296994785293,0.19689298799631907,0.29456278898054294,0.31349479462828617,0.24940065538889908,0.1773194953335813,0.18478690043790527,0.19162576838169515,0.1900200120362812,0.25874523948219985,0.1961852462872589,0.22456970366065224,0.2246498433047892,0.18595462329240162,0.19299986240323005,0.21783753144810894,0.25963295680936854,0.17649620452971831,0.22351346143171236,0.24649428698238457,0.20046336889420743,0.2881175883325495,0.24155310911919411,0.1890186463988227,0.20097207919992033,0.15641837896015098,0.18190277946320485,0.0,0.2572272640340878,0.3356768943493068,0.2954293179008033,0.28643408894088385,0.1970960076179169,0.3082738279187406,0.20067404304696002,0.20120500563657234,0.22059726577326005,0.20834204139085127,0.20452905268055685,0.22607671192957113,0.23147982098704786,0.1783691652660141,0.17137063205935002,0.18614586146531287,0.2634505735089846,0.18992941423672766,0.20364842280748421,0.2454503708297119,0.21283493695557043,0.20131187000606637,0.19541482658222128,0.23895081185895817,0.23406016098354712,0.1898886097060407,0.20040475849415787,0.20647598175256626,0.1777203015302744,0.15648974022571613,0.22087549040027807,0.2529014048457111,0.2036914897879183,0.22674549768828894,0.23026072074982565,0.2346037766774008,0.1936938053017685,0.18459115905220858,0.283763477834198,0.19399740534630702,0.18822049315105946,0.27890663386517395,0.226785317389936,0.2176663924711657,0.21044257016546677,0.16963166710015343,0.2023172497275277,0.19977441594904236,0.18585299380115874,0.21736840815285205,0.1947203601513895,0.22428164696848443,0.22553526749750538,0.1841363742318587,0.1971171989065228,0.19915343089008378,0.1524234003285805,0.2078597630060011,0.2231325772920146,0.17206879617807527,0.21840350556153873,0.19909365651908284,0.20315489595618114,0.18873215683852324,0.1943805740123813,0.2695883747285756,0.22113427981369674,0.19930242009057414,0.1574889170666111,0.1914667272688542,0.20892723776386685,0.27243006810533843,0.2937203132983846,0.2924517201345853,0.255782563369351,0.3112787058681999,0.20613988903337746,0.2293610641291473,0.1912123193228279,0.2038551405156055,0.20099287585690714,0.19101834185511754,0.2803446042958852,0.17665582338811286,0.213538146712405,0.22208860371687764,0.32259037518663014,0.2275266093415342,0.1844276790261978,0.2124747624426854,0.1951658545246755,0.1957470423002904,0.26297164018021946,0.18996764787163742,0.18126752536341467,0.2290475972559196,0.19735581142030478,0.1905048211097526,0.19186467087620213,0.19031958379316827,0.1750455749822436,0.19977116727448727,0.20368598229108517,0.2927203733111619,0.19004112370129603,0.21360976718149507,0.12955880521675453,0.20699611525976705,0.17904997359217334,0.24258401183085626,0.19242377903847538,0.18781436224054474,0.19165191523142053,0.1895818738581793,0.2350933574093452,0.23566957340280523,0.2559457903204647,0.21794831273631055,0.19995749874756316,0.1953349565650882,0.20918419350359074,0.16663483437082355,0.19211225072619595,0.20148360579115618,0.19859922106328454,0.19612247844835873,0.19659962851616372,0.1990586343588114,0.2227906092865044,0.1890470202036442,0.21231952640863572,0.19106256707105274,0.1641705271652559,0.21279477648843773,0.19950623587998084,0.18092325332955567,0.23831403216917454,0.19773211959329268,0.24995211122684818,0.21281027499434993,0.22982947276034824,0.19883261230537558,0.18262889407115004,0.2140310636212549,0.19572002071755268,0.2094024235391728,0.17890199104348045,0.1841553185737453,0.19571546363466416,0.18799557544753645,0.1798496636308219,0.19176537657788056,0.18782424343082177,0.1883585745276016,0.18448336933979836,0.19210117117012795,0.19366184259956115,0.2064838034841601,0.18256960203386483,0.19437430775898185,0.20215680295833036,0.20398776660556578,0.19908949219158203,0.202790550596943,0.19941491767094205,0.17662449719786985,0.22122672916057218,0.20354719597520612,0.1957584522276111,0.20168066929448367,0.19213080197012186,0.19363737104136206,0.19010476572171767,0.19455308282555628,0.19609338743129467,0.19448107593472366,0.19680346692411474,0.19624180876152092,0.1960053138606495,0.20951613166519745,0.19254964179907547,0.18122686574512872,0.19601741427459043,0.1900225671793635,0.19285435841546517,0.19492983794422175,0.19469158959053504,0.20358768737902844,0.19485589383140434,0.19451984935575267,0.19496209818551175,0.21333085569414156,0.19090918217303787,0.19461232331560427,0.1948964243474363
+302,0.3425886703108511,0.20483516264820123,0.36669847025224533,0.2147788784626937,0.3013086232067953,0.21378808342829497,0.3253386190519682,0.25370520275427355,0.219709203571931,0.27814371162533613,0.27756422028009226,0.21041525311423936,0.22674139029170756,0.26785953234305376,0.25852588429528167,0.2425411502629309,0.2452004080011372,0.2681339960944425,0.19342933159425252,0.24752096116117295,0.2953915422398889,0.29446622922554244,0.2738904879808716,0.2537965013678049,0.28155114904351597,0.3522731868552338,0.27965854025779957,0.2786313574751997,0.2249152553332333,0.22538527895981775,0.2214391260388871,0.2629390296211521,0.21895593822372794,0.2661025419184016,0.22586322412924717,0.21901397321903093,0.22258294368837706,0.2652778356292402,0.31538284412213835,0.21656138756256307,0.22591833639675524,0.267331079195447,0.22053249675228673,0.216854967014014,0.26823180406329916,0.22043343188839673,0.2199655191071748,0.23457789624619216,0.21897874007466187,0.2572272640340878,1.1175870895385742e-08,0.25869017645451686,0.2244295386496637,0.20419964639001165,0.22250962605980665,0.32469634741912934,0.2350979248274711,0.22242781102522052,0.27003826914294254,0.23505206736819903,0.2273512249460963,0.20096392750583264,0.25823303016515337,0.25425723540318,0.21787019531590457,0.22367930157779542,0.315245375761357,0.23974167729678533,0.2428990768422927,0.2952353061943746,0.25162476642222453,0.24317771101683258,0.2262363476483313,0.2552419301982344,0.28183451151832695,0.2344467498308403,0.22621048792750437,0.2489667468366879,0.22857791729634916,0.25685846850942506,0.24261562193309308,0.19438250327692153,0.19925978082254875,0.20918584338617327,0.2006531010481433,0.21229729819717205,0.21366559726844936,0.22506289044422584,0.33365712195928143,0.21955858306030987,0.2153318398781381,0.20468585932195466,0.25863306817996984,0.24539317313376668,0.22093396580313449,0.21458443331530366,0.23538224538786992,0.21481752611626026,0.2238582426419471,0.2224486952547637,0.2155638387342368,0.23414389921002374,0.26097581312688695,0.21718305769015786,0.22361480370308506,0.23042929330584316,0.2398728082126411,0.23088227641472084,0.22375616634059287,0.23669079832161158,0.2449612454925183,0.2261694452530851,0.22609040952850087,0.22922642333397303,0.23230433163506367,0.2114818596625253,0.18804400949362635,0.17767303318011182,0.24245283164009235,0.21613097323160743,0.23182011824624574,0.2908740016792468,0.31323405738278975,0.3112372765747453,0.2670135669876399,0.3295854258107271,0.18384079377882193,0.17735143812803927,0.22877569148538687,0.20728039513969623,0.24176154577498138,0.209639868260295,0.20674223673587241,0.2293821074925463,0.24534558468436982,0.2472314897088728,0.33779467943222474,0.2533848237630903,0.22333211638822786,0.24399587742788836,0.22930957322657833,0.22238978565005518,0.2818853928431962,0.2195229320902542,0.2170614078265508,0.1804647247398698,0.20621966790896437,0.2218292333349988,0.22036713958690474,0.22204693388846777,0.22318326861948962,0.22736631681525907,0.2419588686755185,0.25106911260795073,0.21221058334024426,0.26929361434951443,0.25344464622330626,0.2544763373762638,0.21403999334125454,0.19197168119113314,0.2266053424079615,0.21973532296052392,0.22492678227503254,0.22516050858719253,0.2673032013745811,0.2683636874844744,0.2874389404170113,0.2243255113809121,0.22708339163716848,0.2202182255146397,0.23258723148221755,0.22244543135640105,0.22791794168394436,0.22296407298681087,0.21450139712643576,0.22473249093828127,0.22201210606811708,0.22672152656034447,0.23866899611736564,0.2194571532670382,0.2447393124561334,0.22259065142944504,0.22775290192614708,0.2451558686772996,0.24309642257294015,0.21819540988622146,0.2818317558855848,0.22344442155974995,0.27800261867982656,0.24786360194287724,0.2682697793781399,0.2269678499390549,0.24110489934458093,0.2452665451148818,0.21217859814533294,0.23293945356859247,0.2248366180665535,0.21839565933227062,0.21470517520304602,0.22822814776645287,0.22086172620587036,0.222889079268845,0.2230642574646438,0.2193918545539544,0.22150698537416202,0.22962538578148414,0.22381720920343132,0.22748150116977367,0.2194180643328232,0.22331689903501153,0.229173750835782,0.22787496952248298,0.21355815947708076,0.23753350100603934,0.20770930988593372,0.2194456388841374,0.2521755509675734,0.23126547182945018,0.22316170347999587,0.2144380225923479,0.22004357208841008,0.2244651705928982,0.21786156329467687,0.22355234896609077,0.21223877246043255,0.22276623767667642,0.22252117448416964,0.2198816017406297,0.21552488042981865,0.23434608741172952,0.21998648243704205,0.22434675366396692,0.21788628968780752,0.21803576172110178,0.22180759922874,0.22267465617380422,0.22267260534236427,0.23362295877619427,0.22373245631862818,0.22183699415561606,0.25757744013979933,0.20756485092442298,0.22149171959198963,0.21978526741297844,0.2215559722627083
+128,0.4109017943074677,0.2972868569145885,0.4277480451741176,0.31399684324771526,0.3558343066551623,0.3045611464829405,0.39543584763175155,0.33484330794513845,0.301069227511701,0.362225088998612,0.35466223045707096,0.29506467526101215,0.38055083798326206,0.3246767685959603,0.3286370669819024,0.3901030674776712,0.3371243519021212,0.33496628247268295,0.3423090021834271,0.3285201326780486,0.36495080351659365,0.34670995126634147,0.35259683838104955,0.33432643884178287,0.3011192701143487,0.40224682267446454,0.3292289751536236,0.35341732664664394,0.3109609410097308,0.31166850355511594,0.31088996509429084,0.24499207020690178,0.3114107833275047,0.3454034262510568,0.3289951627545778,0.3062953271138294,0.30981469468089734,0.3415218131306376,0.3858874703275906,0.30535488647768755,0.3270852420073492,0.2967584469092724,0.27695978678751015,0.14662349077297426,0.358953728418161,0.3091640578511473,0.3133599763709423,0.318517968083442,0.311971315642743,0.3356768943493068,0.25869017645451686,0.0,0.14728597367213755,0.1728820995458604,0.3033466179546876,0.39483508993255817,0.32143990562527214,0.31471826428288063,0.34191221699331664,0.3263200896173835,0.290492864085413,0.2028934907057099,0.34837490733565,0.3335377897897632,0.3040345429799324,0.3074918900597239,0.35897872571823936,0.32456790390278645,0.324781578434103,0.363503758105373,0.33186736880523854,0.32510347111209187,0.31242342066639456,0.3408503050600103,0.3588644084522957,0.3259405296646209,0.3132464074227885,0.32772447534153964,0.3117570335150464,0.3391475218935027,0.34796851806693846,0.1788094530857267,0.24400399535192793,0.220272917523545,0.19839904153011856,0.2142703899930964,0.3086632057216942,0.31131978013615225,0.395866599785159,0.3104987831561851,0.3050470283945353,0.3553501995354581,0.3491080623323386,0.30661520472352305,0.33513131109182015,0.3175747498058498,0.30918542322507586,0.26231590072851024,0.30997337191350055,0.30824623642509297,0.2729399593681081,0.33417096960237375,0.3410174166397296,0.3053513252513183,0.31682782281216954,0.3152671775583074,0.32410028887448833,0.3071178120542159,0.286864346799687,0.3145110547328499,0.3301794432422624,0.31943171130342735,0.30269601495628606,0.3133628334870883,0.3172375014268373,0.1772905346667982,0.21552194832105076,0.2489870242094779,0.32695182454326915,0.31316847025412897,0.3307213177480752,0.3655314391887862,0.383562386534859,0.3804966580504351,0.3535130263919933,0.39710141337428667,0.30721086327519254,0.3202549012114467,0.317109026422605,0.27239033617938807,0.327158355714073,0.3100937739341717,0.3259332387278274,0.3256263432195468,0.327598891023339,0.32996339858350315,0.4043299667453209,0.330203727261796,0.3122445053903216,0.32797010119433484,0.31625946736426985,0.3086807824909527,0.35956037992612394,0.3108925017133195,0.30853898757280757,0.32449427303800527,0.31063496898264875,0.30798140152632353,0.3102476472206314,0.30878929266882565,0.3191049836212374,0.30913814497514963,0.3212626545000679,0.3792369045814796,0.3111574689240817,0.33892246709926244,0.330287697199771,0.3222439660808928,0.30467142526643903,0.3344918770474103,0.3108761013256473,0.3093844335282705,0.31077527292243073,0.31023514874618285,0.34418383551166254,0.3442656920475437,0.3600916355171759,0.32982414725555903,0.31563985732767696,0.3089913975802273,0.32053758110609437,0.3034670371056537,0.30948890984128863,0.31997262033647966,0.3157758944831617,0.31004947060825566,0.2986287591480408,0.3143546283711849,0.3390023917351757,0.3077381138646794,0.32492080300218185,0.3145286753941443,0.312650727383179,0.3268331540336586,0.3204701507986438,0.30323132571583195,0.3579594503381262,0.31289736068211904,0.34798242019271347,0.3137238855726852,0.3465375361057352,0.31552975786637877,0.3265102792026274,0.3204415425936365,0.29514538951859864,0.32088359556020407,0.3110108938265771,0.30688903443946947,0.3079510926362735,0.3152402327451513,0.30804398787005177,0.30696184847541547,0.3062045035581904,0.3121380035032035,0.3135422951757258,0.3148067751684974,0.31140941372981223,0.31324299803350464,0.3128959023470638,0.30970850927146,0.2972846544680512,0.3162338070911295,0.28722728569027306,0.3198854072547035,0.3126915575177747,0.30651143009059806,0.3319930297044519,0.3170340614982223,0.30981530796911444,0.3146374587940968,0.3097095561523886,0.3108368231964891,0.308024602875297,0.3098004855322158,0.2957947272223693,0.30875946691135603,0.31181630707883873,0.3105743948016035,0.29997307065758716,0.3195142502305884,0.30981727807595594,0.311928588173721,0.30941824337575846,0.30939988633382326,0.3090501255787675,0.3098599986255061,0.3095825370558446,0.31687226270717317,0.3097591478560596,0.30895081982856337,0.326908980936487,0.31883728569849284,0.31023220287694075,0.3094906999906006,0.3091746641940093
+256,0.37956500085753575,0.24839633469677552,0.3975073289701336,0.27494296027672926,0.32475465464075565,0.262172768236628,0.36327634858446584,0.29563938620641933,0.25596964531644667,0.3240101461336957,0.3137185169460141,0.25018055001741707,0.3460455345935015,0.303714043009202,0.2976355263552988,0.36152464663128,0.2938181998914233,0.30599054978377,0.3070920145130742,0.3003150742592538,0.33180658960127035,0.32793538625506446,0.30854815144486086,0.29779395766429567,0.284584186101312,0.3705833441873836,0.3040869430979412,0.3213303992864437,0.26504320737664666,0.26575816729892315,0.265433527159102,0.22811400943398188,0.2698513515326645,0.3058561655905081,0.2868467561373858,0.26013453927263586,0.2646981572180869,0.30194483551485396,0.35099349377336125,0.2612512311323697,0.2958500465462564,0.27504025675177357,0.2390269000089887,0.12565261821438825,0.3224979592767495,0.26327740797709887,0.26766072150722225,0.2743253257363563,0.26668236335410483,0.2954293179008033,0.2244295386496637,0.14728597367213755,0.0,0.14499935449879256,0.26177362271235416,0.36255018170610087,0.2781601505894383,0.2610928238954403,0.30554864155737416,0.2827387988429835,0.24288465997238257,0.16435289950476728,0.3097955240516887,0.28549835326749434,0.25969147900548506,0.2678307291205809,0.33426738591495664,0.2803274306139096,0.2810848696590762,0.3275889499468422,0.28989022176370416,0.28443189371234034,0.26530478500140275,0.3024602296524921,0.3244918506571233,0.2870934293649116,0.2668821015315898,0.2810585132820152,0.26880143596744077,0.3008875271699032,0.31610305550822043,0.1440390962260751,0.20260723534907754,0.19285874937700423,0.15789223149201825,0.1841093955014686,0.26290377186987757,0.267244429653055,0.3655828148012034,0.2649706290162475,0.25612465011484414,0.31747754265059286,0.3075837178597125,0.2795514597230351,0.2996091282532292,0.27693270493555244,0.2679647026621873,0.22217801269528684,0.27097472293024544,0.2739228115306871,0.23309709577666654,0.2943052538434461,0.2956680581489058,0.2602635319521336,0.27325990775509085,0.27321725460623536,0.28120414644869746,0.2697464731512109,0.24241435213333892,0.27611959865727154,0.2885264635800712,0.2804634715269619,0.2547510928464172,0.26846373799609335,0.2719015726255407,0.15367689792846698,0.17605644323165046,0.20720738911891168,0.28882224148708996,0.2686381194041428,0.29102205451994195,0.3279122810016137,0.34866432946891956,0.3459059821073604,0.3159657728943197,0.36388302859308025,0.2627881646013792,0.27910407578693247,0.2730014258812899,0.23639145637916745,0.2851290922755118,0.26616859795535974,0.2996579872138802,0.2818067616849447,0.2871048809922197,0.28632135154012606,0.37223873726144446,0.290946880208878,0.26616143887147264,0.2835118191873226,0.2722565950787158,0.25844069529907127,0.32248849475757774,0.2635550291272745,0.25938946985987854,0.28358466702709423,0.2648245568892235,0.26174174066271755,0.26419469001129314,0.2647378942868116,0.27852320626441557,0.2656052982098096,0.27770584659449615,0.34631879353280004,0.2681010914727042,0.306707069861679,0.28538655706117994,0.2844018681136871,0.2585727183614716,0.29620612111663447,0.2674721474885684,0.2640396574073296,0.2654933499654578,0.26487839263302404,0.30194223519874996,0.3026058407882178,0.32041016304952075,0.28610245578520066,0.27134138005483466,0.2631537400407346,0.2763618222708425,0.25923273602489505,0.2680812931126387,0.2805605009662698,0.26765955267352426,0.26452392917672096,0.25776655129895587,0.26657864824205646,0.2976267792341369,0.2614471759327866,0.2800963737168652,0.2700351815320204,0.26698212715871916,0.2797904538014277,0.2751848937959923,0.2587837561369876,0.318044058553379,0.2669030263096895,0.31392552501384435,0.2861625899108229,0.30572711924551,0.2719347073386889,0.2836203475077643,0.2765049409827569,0.24699633737290572,0.2775423572359923,0.2645709688089351,0.2612878189972222,0.2612547353033187,0.2724685704255674,0.2627030349290538,0.2622115405405654,0.25736153823651264,0.2668188500523303,0.2711348657271893,0.27452900767651234,0.26457307143723474,0.27333584294828883,0.27200227155371165,0.2630487514552881,0.2640686341976433,0.2714688895534034,0.24482750217532614,0.275878010782517,0.2676561855594568,0.26188210759865654,0.2878276052403676,0.27278138460441076,0.26232513805351193,0.26980731624449644,0.2628484686642407,0.2645921331498217,0.26183269668616616,0.26332721348325944,0.24937741677355546,0.2627070001989535,0.26064604157424975,0.26411827577040536,0.255480685415281,0.27017498885577046,0.26345672329265,0.265704222133548,0.2636277335075295,0.2643718795189596,0.26232387365757387,0.2636244904311355,0.2629887219056057,0.2717225096491183,0.2631577773659739,0.2623705724787376,0.29121712902327845,0.27578055989785816,0.263883725445234,0.26243847659903696,0.26306475342987845
+12,0.3654724799976717,0.23712004031547812,0.3975763212198886,0.26604602108952585,0.3252546846746001,0.24970764952672062,0.36260041534703946,0.2837350005656957,0.2449261978597728,0.3155473430432531,0.3044447643425223,0.23083875895681047,0.33850101964338275,0.2926965177715397,0.27798467556408907,0.3510413404727747,0.27170498983906793,0.2935461614977156,0.2917021516627343,0.2871724036339768,0.32199838421070004,0.32029475045777,0.30139319691769484,0.29015342664734217,0.2913900794773026,0.369315230250333,0.30421681260091565,0.3164572084033133,0.24952556990056882,0.2493781680493585,0.2374399315117509,0.24270438011205425,0.25467881860197283,0.2950149159728078,0.26633723506306467,0.24265519389763576,0.24629637066090956,0.2920840829421044,0.34377244760646775,0.24984932453207545,0.27980769067885425,0.2802957132876156,0.23340646677336577,0.13976008419949418,0.31883900352273087,0.24489443926083576,0.24791550472213672,0.25585489006358214,0.24821143070776625,0.28643408894088385,0.20419964639001165,0.17288209954586037,0.14499935449879256,0.0,0.24354595056274544,0.3472415249151317,0.26337848461395325,0.24911771413332193,0.29874225378623076,0.2676777497412786,0.24247224158981287,0.1595373826956429,0.30165564454403176,0.28128122595187827,0.24424266184810306,0.2553046930252408,0.3341942924001275,0.26732480035893236,0.25907335514884244,0.3186663465210761,0.2785283802061611,0.2654694602655856,0.2478896749037293,0.2829627670349211,0.3173832691042242,0.27281738462663974,0.2403038768306855,0.27430624206931925,0.2531784651680703,0.28605445117055517,0.30860088516603823,0.12672202683916392,0.18813637903421077,0.17731445446347716,0.1540540886812871,0.17700859962946103,0.2438948046808018,0.24930010194084026,0.3529238188827807,0.24618519564767125,0.24488855843173168,0.3065149341713906,0.2974391138963921,0.26504286966371843,0.2863708612493271,0.2623538396619752,0.25637636093167443,0.2111474462843572,0.2588307420007683,0.2518947484781714,0.22192930168614705,0.278604130695855,0.287697937207865,0.24353632179506826,0.2452742878102673,0.25509197701384806,0.26403730694497834,0.2521338872387467,0.23413664624709915,0.26055872797413904,0.2818137343383113,0.263344553925153,0.24443401147100546,0.24484217232372837,0.2575679708756821,0.1251195874852803,0.15616327910638184,0.18852832982199705,0.2785460860762661,0.25299727713917425,0.27620503624725395,0.3123707678646112,0.33381591336187083,0.33036573131722274,0.3003515371471874,0.3490687864935683,0.24065387081385464,0.24544878592131864,0.2565834037061035,0.22124994437821302,0.26892171859022684,0.2486110495434199,0.28329225557136956,0.27062613174454714,0.27002037423289643,0.26977157360098025,0.358101629115719,0.2784452848597848,0.24812610111409325,0.2684720929288442,0.24663943799265048,0.2443769255170744,0.3060643961464892,0.24682860861589603,0.2472023374697378,0.2629424095716462,0.24369342735253746,0.2422587407454332,0.24600981867822097,0.2461597363733787,0.2609369613302701,0.24907879327400761,0.2658611113821925,0.34041056010655535,0.2562362918539657,0.29607915940438584,0.27365601356032826,0.27907856293293226,0.24212521940795798,0.2759394735661794,0.25237796409453095,0.24512486171734776,0.24850204727364902,0.2481555343023447,0.28894991453301905,0.28911192961735277,0.30161813731927195,0.2690080228607809,0.2553143314096136,0.2445894860139641,0.25709610789803644,0.24457034950911458,0.2532254494955906,0.26578018526870095,0.25627869794294245,0.2447808591037998,0.247830591477674,0.2534158430793135,0.28217963360067705,0.2441655636111115,0.2695849119221083,0.25137301442455845,0.24943901171340252,0.27001269424146884,0.26950656791348343,0.24295420506925336,0.31400193357416845,0.24243019898628212,0.2991732093882029,0.2722370956716725,0.2940123178974162,0.252778245085811,0.26798994325944064,0.267140721468543,0.22891248345529147,0.25913003376308696,0.24605149602072704,0.24360972067790107,0.24217849725944557,0.2586083842348565,0.24527444482955366,0.24475260384441694,0.2465099449843716,0.24693666570720604,0.2534676279427723,0.25937136825297413,0.24681501603775932,0.2596671892394262,0.25684616821857403,0.24489455773605542,0.24807561910742867,0.24332950946211868,0.22525049123119234,0.25936927480691907,0.24743921145902664,0.24611418461655235,0.27805747237341494,0.25505356648961086,0.2451019817386942,0.24014313851680383,0.24474165034825368,0.2460402954583106,0.24368311948789334,0.24517545259695378,0.22976215742420483,0.24399150263068398,0.24895654347946836,0.24345826403253118,0.23448499523705676,0.2577057553957764,0.24557120524751885,0.24706013425197904,0.24413173879228767,0.24477690092890703,0.24349089428246293,0.2450035339946773,0.24480652725705038,0.25418148930744905,0.2450097822606996,0.2438431236649991,0.27833849229989316,0.2574742565966456,0.2459341320886375,0.2448678247255555,0.24469753379615855
+144,0.2828722298837874,0.11706079510067738,0.37187281011270157,0.18292009359490696,0.3094353914974569,0.11716716339960215,0.3016774777416237,0.1880240787272848,0.15248956407890024,0.22284077120240697,0.21763304130380803,0.05697969362813845,0.2875812465988752,0.17822858281321513,0.1665530655410773,0.30294609200605743,0.16781109957788914,0.19006761196300948,0.2094917784931538,0.18127309647003537,0.24414150982215613,0.2252582923110247,0.2049749669587947,0.19231999688924767,0.32093327485166334,0.34497139592615084,0.24929609024929072,0.2672534203070305,0.08372329252184842,0.08154718514250504,0.08369841494574995,0.22576351883096313,0.10383169224168702,0.19206031981290403,0.1270869588574586,0.05448265560629,0.05208654939670451,0.18811141974185427,0.274504204119192,0.11018390803609758,0.194452855617778,0.22182817708964422,0.12602695452973936,0.25919868158763004,0.23700941390991695,0.0587105040982961,0.0577701352965767,0.09931213869839339,0.06610230790489299,0.1970960076179169,0.22250962605980665,0.3033466179546876,0.26177362271235416,0.24354595056274547,0.0,0.2602766489181372,0.11513069630295412,0.07435109373875647,0.20332197737884722,0.1273053014512186,0.11833271330311292,0.14836619211763194,0.2083290147514423,0.16643190104036043,0.07228015809067156,0.11091436961386089,0.27596798042585463,0.14374631069465305,0.1282353990307808,0.2313510737862916,0.16042285606788206,0.1463947626650029,0.0631809565202381,0.1551708684330989,0.2274884225189345,0.14695073419844348,0.0665502298845872,0.16988384153875977,0.09255137412571238,0.16671974955837407,0.23473396754136736,0.19261890527001066,0.1303222518328114,0.14469044095895156,0.14907633765964223,0.15454582985971552,0.06403686674119492,0.06677411909910248,0.2923805013423041,0.0507539245938467,0.0854350810824564,0.23436350614123008,0.20688295368141243,0.13522446527270962,0.1732807127987207,0.13548254103520832,0.11323330116504811,0.11482744164024375,0.1266178594741943,0.16124507037730687,0.07537749689094352,0.16023127072141563,0.1727430928938454,0.0747425861370318,0.10097280213208325,0.10954960691851974,0.11953684951076615,0.0889599170815911,0.13092075556270624,0.12251983460223641,0.16183341642458,0.1304060682627763,0.08944818576599736,0.09493393770618172,0.10884550668235647,0.20852525340901293,0.1334066440744646,0.10036795705834296,0.17240248188775634,0.10268810943464139,0.1562894731929874,0.20472691920176145,0.24030414810838885,0.2297590301173432,0.1943629012816447,0.2591402481689928,0.10959679893562677,0.14948469893306685,0.098560520188656,0.11096349768090219,0.12521119042592485,0.07777916457824625,0.229892581876303,0.13986278299148572,0.1362594418009705,0.12406516737472888,0.27035795595675804,0.15627829651727523,0.06669601356035272,0.1252739660686123,0.11462528048239672,0.05422689395079411,0.19406313316358445,0.06232182278318127,0.07700978719306788,0.14164845865205153,0.06892145261674269,0.05382971544194417,0.05574849222536373,0.06619643482755852,0.1134457157630177,0.09024988796453969,0.12987305095949497,0.2797636984129672,0.13134950257627834,0.21482393617714388,0.14435551772096558,0.17738189717493144,0.0598960241075725,0.1688483624494033,0.08771409926788609,0.05652607297505175,0.06848581152722147,0.06346339284109505,0.165530192221303,0.16647920713343356,0.19750262537082233,0.13711372790333792,0.09685570218362705,0.05143171265946716,0.09616344210038329,0.07978790959367468,0.098664754162169,0.1315341863570828,0.10408167664690796,0.05411184690951767,0.09636555757289253,0.10335318335855077,0.1740272428489968,0.0568938252284538,0.1396439040439718,0.0879339973593768,0.07487012966029752,0.1322553286865496,0.1499466213042003,0.056340301354650756,0.22450673043769367,0.07714516915852407,0.20637143885242312,0.12634991838761594,0.1809650953123811,0.07871406313587435,0.12669653373037848,0.14118135035661672,0.06095083066549237,0.09356149766224696,0.06045974766481268,0.057532880678781304,0.05090030894169291,0.10830678806367566,0.0780724626748047,0.0394484521285951,0.07312534679838845,0.07351000104571535,0.0922705594708364,0.12050227534654323,0.056175349266141435,0.12090131300333928,0.10934993824574896,0.04693317658121966,0.062051341306318876,0.0736272624183354,0.04686972747087293,0.10857031106903936,0.07072040354118346,0.07442298780468268,0.1626614999071485,0.0873621714499465,0.0512043785520849,0.0800266148840305,0.05156528254868293,0.0546200559086931,0.04762055095169984,0.04976361851262901,0.05337397890726491,0.045459840714132976,0.07082423506942433,0.05247244688986686,0.054650638473606655,0.09298729791883038,0.055062197970384086,0.06293972643241416,0.06304208962403421,0.064187499079885,0.05011823695042621,0.05244473019585524,0.046930689607575855,0.08311428503579604,0.04750019111534646,0.04630918440896912,0.1722935555965386,0.1023385292630259,0.05199504533715761,0.052726288740667794,0.04776250174831796
+40,0.1328123690964699,0.26500993858216515,0.33782824057124494,0.2948065890627795,0.3588048499522744,0.2533271773952414,0.3630918725000059,0.288045255013955,0.2832305836982363,0.31998987227650666,0.3268558584676532,0.2612376862770318,0.3575446732396424,0.3096799942141813,0.30223419808523455,0.37361842498035747,0.28870520920416026,0.31498200465828957,0.31672267266868975,0.301544896111851,0.32900672029882644,0.33663082452145726,0.31814023231980965,0.2923334896932642,0.3333040507387096,0.41295733089195924,0.33452976185486816,0.3411676498174024,0.26318047999165034,0.2603571722570963,0.25893008639337056,0.3283128765787031,0.2679100963581537,0.303106261974585,0.28152736973871045,0.2558737589634418,0.26035833748408715,0.3017186117980817,0.3438144394229213,0.2590687430022303,0.30486896911885086,0.3275277104824822,0.27571748984391836,0.3589059939719672,0.31045908848723797,0.26003343857544037,0.24888050999674424,0.27271047462125814,0.26117804651415233,0.3082738279187406,0.32469634741912934,0.39483508993255817,0.36255018170610087,0.3472415249151317,0.2602766489181372,7.450580596923828e-09,0.24244022735858403,0.2664700299755219,0.30871585506270816,0.2597195701580845,0.25675190359920474,0.2952563764283555,0.31391786692037577,0.2914703246900886,0.2591554124775667,0.2682651297981863,0.35993792721067985,0.2863336394854209,0.28070349334961403,0.32634526355790594,0.2663435068061342,0.2823750961867315,0.2570095476467244,0.18834138297093683,0.32666347903917786,0.2694072302969296,0.2632522652139209,0.2924468485672943,0.26887509846103463,0.29463534495629484,0.3092664183258107,0.31874289739059053,0.2854003432250525,0.2933931908724943,0.2967304627992079,0.29550601333442916,0.25891897962899574,0.25288272865926686,0.3748692213776563,0.2594589929812863,0.26010604465654635,0.3332207843237566,0.3225732741541036,0.2911341332899901,0.2911587418980318,0.2649165772505001,0.27373934597624455,0.2761803216415518,0.26977073020336384,0.2622347204926702,0.26291844020731675,0.19186707776397385,0.299072821195104,0.2506901974128901,0.2540225658855781,0.2677238450242654,0.2764625688770388,0.2646578435503247,0.2748628581857315,0.27235217658359456,0.2528743140498962,0.27558375655487855,0.2622598164753817,0.2669157484105678,0.27241106720210606,0.32910319272044525,0.2867327329130854,0.2736100119144735,0.28650882434130454,0.2701240320491,0.28130099985403295,0.1478779406529686,0.13373447279167547,0.13861121408171181,0.15560133703691142,0.10836590465909723,0.2703936016915167,0.2859119326859115,0.27140743063976003,0.2657131314957431,0.2798854766269448,0.26128310212645767,0.3306267100184154,0.2778895439074036,0.2852987435014094,0.18290829175584603,0.1488235361319861,0.20813790592954787,0.2629660612411881,0.2570693216064073,0.2714733624930574,0.2597735535069743,0.1677825982239209,0.2602740338305626,0.2555609572174936,0.2791130806085565,0.26168419135478127,0.2583536834721573,0.26038922506357465,0.2621205794015668,0.25778077755372525,0.26704629061697643,0.2780195402266587,0.3437800014943239,0.27409055573972396,0.3177343356459376,0.2889263105187919,0.30002614001379047,0.248660896770218,0.2894251996060055,0.26480682805845024,0.26007863156910216,0.2637163479246174,0.26175362758956416,0.3034489170474736,0.3026031888484431,0.3204323537961476,0.28641488304230855,0.2676685627970519,0.25742805134862834,0.23533473241708056,0.2624077216918077,0.2662557908025302,0.2755568384289503,0.2693102839084461,0.24922172096308765,0.2662713890440007,0.26965180866314936,0.2805507400235008,0.2573706435696326,0.2828986585492785,0.2674609052242528,0.2653794525345719,0.28214242107559334,0.27849900824952367,0.2581839932413932,0.31618669653411247,0.2541894652312024,0.31953163197892254,0.2831031117809675,0.30683571749530064,0.26461450597553293,0.28074977227195524,0.2849050308491222,0.2624083850087021,0.2478746233621964,0.26069267308865657,0.25587144565851744,0.26090960874516345,0.2639615734995932,0.2596447581546953,0.2547697731334117,0.26262074197020807,0.2614297389400281,0.25891192544935,0.26623223491922904,0.2574563251668746,0.2755640168542304,0.2591956255134418,0.26046911039115145,0.2658087651747591,0.25330358136021236,0.26178574290077933,0.2753158646931599,0.2619291339438855,0.25864944669145623,0.28973402764387046,0.2522402750699586,0.2609669045821587,0.26390094847280243,0.25959696572894125,0.25878741360666274,0.2590226889424587,0.257106112991003,0.2615674388646605,0.25816184122715474,0.2632199706438916,0.26005576658812485,0.2603480856188858,0.2521466497698904,0.25628864838022297,0.2636071113043901,0.26223622704799643,0.25971072719198424,0.25740779422357946,0.2606234833080325,0.2605627051216097,0.25041578087227273,0.2589519875406012,0.2605517103802052,0.30230632727273693,0.2686860093528009,0.25895495151816844,0.26030972785734446,0.259695344305418
+193,0.2636318822221183,0.13951577880874164,0.3446908461405256,0.187175177500523,0.29437897823320697,0.133487027088363,0.286558622393078,0.15084673828643919,0.15941528502051436,0.22121544513020813,0.22757410332278746,0.11348434871663657,0.27959571439558334,0.2118570659031663,0.19655013207377614,0.2976388390800082,0.17769928469835397,0.21142733599192015,0.21868754917152133,0.19605471068691202,0.24491392454074365,0.24450608240195076,0.2142740412532496,0.16657251240896406,0.30485983928970883,0.34359638468726156,0.2373794978068968,0.2444055998170044,0.12284156276152777,0.12172054190655314,0.12094428391460071,0.23165180040962421,0.12762376140739598,0.19542391209662102,0.13059176279144005,0.10174862314720473,0.11503258227243054,0.19652172731518014,0.27544404357343344,0.12232843799365427,0.19284850721710342,0.22488780763397276,0.1480169326996145,0.2753679239255642,0.19769974592562567,0.11215530457971651,0.11751591735011678,0.1355821455800529,0.11766303933594267,0.20067404304696002,0.2350979248274711,0.32143990562527214,0.2781601505894383,0.26337848461395325,0.11513069630295412,0.242440227358584,0.0,0.12438297547354371,0.2006118871938891,0.1507196411623968,0.12041688250954159,0.17706457821929064,0.18465952334287264,0.15612308207794176,0.10513419814212936,0.11917695790886951,0.2714823135681518,0.16443544427906157,0.152307037155952,0.22911598964370247,0.17442920041329993,0.15988297050766392,0.11783435700499467,0.16609300185295475,0.2120021479576456,0.12185581028080748,0.12019928268643623,0.17343432787061716,0.1333584335024985,0.14991244144865795,0.21256295346101037,0.21772676874589889,0.16335079959159776,0.17821531553622127,0.18166848144837408,0.17310314148870112,0.11453562377543097,0.11562430169797061,0.27283108897504654,0.11460014559639815,0.10419465678929588,0.24101194664017567,0.21679025085713244,0.176863696158639,0.1694638479681779,0.13276574891028944,0.1374175780360006,0.14375588156512611,0.12384218807858521,0.13591669638394357,0.12130559033751195,0.15597204174199134,0.16711370992634353,0.11476769360951551,0.10466404756333206,0.13712315228409877,0.14932653097867404,0.13686303835841687,0.13169875097304326,0.1390532184354367,0.13738631414845864,0.15249292191947075,0.13191495718244656,0.12550411346612733,0.13843791797571292,0.23314167945637962,0.1661711427606818,0.13643173932541186,0.15683862235033535,0.11873145372999719,0.14502265034012737,0.1990201765496218,0.2253569976376866,0.21951012242572657,0.18740411038564445,0.24809193590862808,0.1442732660415967,0.17428607344005578,0.12561658696131,0.13684316071113994,0.1120393605553313,0.11606081696181231,0.2379944545522066,0.13884253190915055,0.1592030685996055,0.14258416875545155,0.24676694772894314,0.140403814496665,0.11924478268185697,0.12999679402580244,0.1305087471529493,0.1115594065808582,0.17528953214064344,0.11292705371147221,0.10866504824312924,0.1654352268593477,0.119640364551245,0.1121286114651993,0.11375303169704418,0.11671779179049126,0.13627364667123584,0.13153664480254537,0.1516076574448467,0.2584141223834161,0.14140301627954005,0.20764684341182615,0.16441137991253285,0.16519423798745175,0.10874039508710366,0.18346294037276087,0.12649374301553962,0.1131529871491256,0.1162991304795646,0.11293957989613483,0.18576100820804506,0.18615084406034865,0.21178865349425882,0.15904324831649355,0.1317896756033087,0.10950328325989672,0.12829318948222662,0.11384871203683784,0.12422685102363776,0.15153157918341548,0.12901197921430338,0.11226522949988528,0.12733947396402606,0.13383662500754956,0.18579541009246778,0.10928321748852571,0.15110383822880272,0.12039300091419639,0.11878339999372911,0.14769841985071597,0.14731497496009235,0.11083147607273462,0.20818010044431826,0.10750437173602331,0.1993758911364487,0.16534979438708533,0.19151045188224747,0.1228313206814828,0.13612547532947486,0.15580060102484078,0.11937805022338545,0.11834132463917738,0.11600441863134589,0.1110813389602574,0.11119655301024298,0.10357309813363445,0.12074090887368147,0.10529383534675599,0.11273108215890894,0.11700351594095253,0.12383635924387133,0.1421630717196042,0.11489551421594378,0.10864724228411467,0.10279274868027304,0.1105895716750122,0.13067220301705942,0.12458316987915186,0.1198920112647066,0.13995490383637565,0.12011769961806522,0.10876987469943625,0.1563885915134136,0.13254687204401094,0.11235364799175734,0.12558682808652194,0.10978500447194095,0.11421987036333202,0.10811925652436036,0.11042430869171244,0.11414293442717789,0.11078954875512252,0.1178080892992335,0.11305133923755066,0.11271903726338421,0.11890209040755778,0.11403239166857491,0.11729256872442372,0.11762604182774747,0.11111898769461499,0.10827378690727577,0.1115237020847852,0.11061868235377549,0.1299051882114039,0.10997756596353708,0.1099971136262581,0.18044229431797013,0.13719503085279314,0.11115963683858217,0.11283006932261332,0.11159081129698047
+250,0.29040977814834595,0.12479210704676519,0.37685294036185607,0.19083878447019317,0.31977859108169343,0.1249602851781558,0.3013173834706287,0.1929013261237089,0.16387299768667266,0.22826793963293013,0.22575370222452992,0.07482498914929697,0.2851459340184598,0.20801667137232535,0.1860277172745163,0.30752395668064864,0.17019040834276597,0.2064542141554817,0.2146120576585894,0.19884645793985442,0.25284034755477913,0.2453812211407914,0.20225567672951333,0.19820656758667043,0.32826863271674217,0.35137745683729893,0.2605706014203071,0.2714931900622818,0.09217606701309507,0.0897891813260877,0.0859703551473738,0.23507943852083757,0.11095448340794133,0.1989679938947745,0.12682468544603784,0.06195995294246723,0.06727431934063416,0.19443067299934566,0.2807686509365062,0.11133044232067552,0.19900694647091338,0.23165243798972102,0.13471028664965468,0.2677866287887214,0.23796888358074203,0.0687857426239153,0.07628132038444546,0.10666740095108908,0.06950212832056515,0.20120500563657237,0.22242781102522052,0.3147182642828806,0.2610928238954403,0.24911771413332193,0.07435109373875647,0.2664700299755219,0.12438297547354371,0.0,0.20936514434280618,0.13512000679932404,0.10763724337067151,0.16207900273520787,0.20733553158037477,0.15535377850705168,0.08403249647291464,0.12212307489962776,0.28366543353100415,0.1522324460793433,0.13530611131364248,0.23911894660151298,0.1656049022209043,0.15303551260385231,0.07200516021666513,0.16558288795741444,0.2346157700165181,0.1530867945279487,0.07421020150568482,0.17188181760519966,0.10728402262983619,0.17579620350964711,0.23329737654526553,0.20146504279383454,0.12688377525848432,0.1589117532841741,0.1544701077435258,0.15718120553340093,0.06876747661562338,0.08671021251199011,0.29182100846912945,0.06116807237655415,0.0821634893208223,0.23141589724854672,0.21288773322051438,0.1628258772005643,0.18012590123387387,0.14142600593322946,0.12290330154527643,0.12789338497398298,0.13192746768861113,0.16417837297599114,0.09053735595351105,0.1674255507167202,0.17287646535203186,0.08487921932540089,0.10742416509317272,0.11957986721616272,0.12551762818073847,0.10742838273337178,0.1313667585816206,0.13378081259339594,0.16227169886778361,0.14014098870263478,0.09391896600070969,0.10866911159493672,0.11518565179552165,0.2177656273101495,0.14165728860853927,0.10973114297393649,0.17740247020673994,0.1084399993585083,0.16150846406493305,0.21034085724877827,0.24492022500239613,0.23797132172694976,0.19943233855781842,0.2647896310654029,0.10853544538844082,0.14398856691332085,0.10590919722917841,0.11881967373637305,0.13137615058207652,0.08472798766446477,0.23594077340636035,0.13913140684260192,0.14644854834453325,0.13352029206000463,0.2772803550636546,0.1587867576773757,0.07075280658855881,0.13107369727721918,0.1180141121782197,0.04618887436011808,0.20382719841332106,0.07154580724396953,0.07204034399682438,0.14258605817757533,0.06845583409913511,0.06423914411576459,0.06344148825080342,0.07912994592989736,0.1265660114675479,0.09574787368368928,0.13598727272383057,0.2801385206604803,0.13129965591752135,0.21921999864990227,0.14224387874160788,0.18309143121432497,0.07440047252756497,0.1697425825192251,0.09916153813183187,0.06848117940055257,0.08013435058714874,0.07857813179052442,0.16992039504136205,0.17041236360410938,0.20217545418184618,0.13707526743087456,0.1028717873405167,0.0627582199772058,0.1045256277645861,0.08783025378926361,0.1086572267882006,0.13983302753182247,0.09868511272497907,0.06524341656912602,0.10733873117473573,0.09732199366156513,0.17558835389976307,0.06809072706463862,0.1374787498644071,0.09053917849286633,0.08390763714656102,0.12863560844899008,0.14452551828867333,0.07838932210325379,0.223322650811082,0.08719048968802127,0.21175371164588094,0.15589044942293692,0.18501669707539453,0.09190878823398918,0.1330872217451179,0.13887814231821388,0.06035256327257882,0.1043633688543943,0.0694999856273964,0.07009352807644768,0.060423478202439436,0.11786525890676221,0.0749049606891661,0.06385018245744531,0.06816093928286875,0.07936841279140656,0.09754031184386908,0.12769196772485383,0.0708205161543848,0.1276803169703123,0.1188012331803575,0.05806053057936893,0.10403612384551734,0.08473567614819391,0.0808867373745467,0.11504042680944686,0.07084995428079637,0.08103979357172515,0.16384123998282635,0.09393621632900968,0.06116035373669976,0.07745581353422902,0.056539938031136584,0.06453111006151996,0.06191685333337821,0.06072094358689341,0.06643770937259114,0.05935126470561136,0.06537420291660016,0.0534064915079635,0.06385525606108765,0.09222030813353636,0.06516431359576594,0.07168546927919109,0.07309210617462637,0.06763982118328486,0.06103116435717443,0.06774925013547456,0.057866535167402436,0.0901429616494196,0.05848106434011512,0.058261937847206256,0.18078254793468868,0.11039314354247069,0.05787691410542379,0.06351423746377041,0.059593851757895853
+111,0.32477825549526945,0.16449709946913652,0.2873417649155925,0.15982404164698155,0.2538480919557269,0.1757666515154692,0.26855090182202285,0.1680702020474586,0.20279895100215606,0.2085151971376033,0.2352841820000207,0.19582993360459883,0.2898409209236556,0.21594580400593358,0.18789731925184347,0.31710935132048346,0.19423197745399678,0.174810364990942,0.25636659117510385,0.18511530372107626,0.2302842334194792,0.2052042411106352,0.23003445633714772,0.15297921006761947,0.2587455422102533,0.30001165100887106,0.2039166229525688,0.23156875067149255,0.16571740463367243,0.18691357903347755,0.20019162954172853,0.2216447861020809,0.2029299968676677,0.21090087146263534,0.23465049815282196,0.19275446577777067,0.2055303269053659,0.146667537052809,0.2769483660925678,0.1603414636376402,0.2336317953407109,0.19854449789185685,0.16430126580031384,0.303666220686899,0.19398176977705608,0.20190378379055476,0.20891057481117764,0.2127106163571526,0.20697951270134746,0.22059726577326005,0.27003826914294254,0.34191221699331664,0.30554864155737416,0.29874225378623076,0.2033219773788472,0.30871585506270816,0.2006118871938891,0.20936514434280618,6.452392069879462e-09,0.2092960073957929,0.20486789956696974,0.23212218158265968,0.24574673947212605,0.21952701168689362,0.18557177246778772,0.1830253247572671,0.17579842225254838,0.15149579404627458,0.16017949735411863,0.1788965463490489,0.19811310246384684,0.1461455538469091,0.20600097236018775,0.24743069287429734,0.20853212883530678,0.20352849678213344,0.20860872585687196,0.16080016353130042,0.17146895119183841,0.23818144774083286,0.19952885215108299,0.2678496714896909,0.2275478027657237,0.23115690334344743,0.24098163146657028,0.2417668133452501,0.20564004766879324,0.20201976192950674,0.314582859938481,0.2049001112643031,0.1933930566934598,0.27443821046265304,0.23971113560657736,0.2087897384615338,0.230684441234095,0.18914991565852823,0.17761340982837728,0.20285422289793295,0.18556456832459697,0.214357102945444,0.19676694292766425,0.21928459545420692,0.22830677352417753,0.19349712807877217,0.1998631013780137,0.21175803720561476,0.22276586646354044,0.21286291782268615,0.2296775864306424,0.20654414597766446,0.20549113843890776,0.20156016742809682,0.20648004613378185,0.1802890182610802,0.1739170291488834,0.2816106951625332,0.23182435399081025,0.2119874902184234,0.17264625850283932,0.20035063081221297,0.1965412462769943,0.26930130286793,0.29240756375932375,0.2911031271808838,0.2494109455576924,0.31068233551376107,0.21028639877539115,0.2343778894760691,0.21008895519927692,0.21362144451762174,0.2231783550266846,0.20397694878037895,0.28080686117982506,0.21564467194603307,0.22264631958443845,0.2288482199447175,0.3183013597509303,0.22010524990159605,0.20653404864676358,0.2260803594025557,0.20699010195260514,0.20434207983270736,0.26330779395429704,0.20303749131593488,0.19978247991186865,0.2336523731219813,0.20815784877933874,0.20362102047301808,0.20394841781219314,0.20375322949242838,0.2133770682281198,0.20132046871260692,0.2164498991866563,0.26281860969135146,0.20817449907405303,0.23409942777651124,0.22629674460028992,0.21604372129823077,0.17996057993489925,0.24666724605037918,0.20214639187239886,0.20210441941584742,0.1872601315548513,0.19404339511557103,0.24194461278543378,0.24366951474748502,0.2638423110187612,0.22485874887293122,0.20373383286353952,0.20362083268311437,0.21823244137556166,0.190826652909979,0.19358153260819042,0.2160278973296894,0.20339091492369132,0.20478319107201914,0.17833253125465268,0.2069236788429749,0.21807225538411637,0.20039378357539422,0.22075644201348313,0.20736211110195862,0.20367342195518068,0.22064702840220154,0.20398054028435159,0.17590328930683227,0.21406535275671548,0.20101125634421865,0.20294733120279887,0.2195211339874502,0.2234062097799627,0.2147247847675152,0.21727244888827207,0.22197646413321526,0.2081348665698747,0.22034523534397274,0.2057184853978678,0.19884160916912597,0.20400611955428694,0.20109492051067113,0.2053451894482993,0.20000501595732195,0.193395215709598,0.20436362985243356,0.20358337778278446,0.18986638497232614,0.20515003255027603,0.20985478442103878,0.1840249611944889,0.20296455828974855,0.20404731282663746,0.21434958331957055,0.20600946200126613,0.21487452703194965,0.20953366859648295,0.18748405145428837,0.22213952877923202,0.21533107477313865,0.20401202839102542,0.2125135316600661,0.20268609296270287,0.20494720375679856,0.199771746506188,0.20351573174991935,0.205133193330507,0.20274890142777707,0.20397436461241003,0.20452764058558315,0.20512465189054185,0.21700609360542097,0.20419254791466235,0.206215575966248,0.20790357208957522,0.20223341406241258,0.20314149363300918,0.20490844884840842,0.20319294393991338,0.21411339838644192,0.20312690005403125,0.20316643908930038,0.22503427069050883,0.22119385825066135,0.20312032277088074,0.20457884601093812,0.203516316491046
+291,0.30110052244805136,0.1469913698287422,0.3584303240686012,0.19107853186640392,0.3000900057566061,0.13922661491062766,0.23575822549821254,0.20201548813711717,0.17429662621999956,0.18649368078215936,0.22443767065939638,0.11791623220176999,0.2811260450130518,0.22039448794679412,0.19855551971193175,0.301627839193202,0.19082999256011363,0.2141641568134393,0.22057524068313714,0.20226828561001522,0.22851268886821607,0.2473047248789031,0.20923292417917322,0.1950171102924693,0.3153036851730336,0.31215731538205527,0.23959999115850392,0.2618660907909081,0.13194159533492142,0.10794113464283692,0.12627044373864243,0.2340024551288142,0.13968262103664983,0.16288839932052585,0.16710830755210107,0.12124893328894505,0.12412300167438198,0.20498142081407691,0.25431056268974617,0.14176240861866243,0.20533268741853322,0.2347214857807255,0.15647626364618203,0.28177014989229865,0.2364491920200447,0.12494565895971063,0.12515410697625107,0.14766091050030689,0.12806868699351767,0.20834204139085125,0.23505206736819903,0.3263200896173835,0.2827387988429835,0.2676777497412786,0.1273053014512186,0.2597195701580845,0.1507196411623968,0.13512000679932404,0.2092960073957929,2.634178031930877e-09,0.15733901823646762,0.18144900683407056,0.2220924327544394,0.18431794114851882,0.1251541632469034,0.14250952660660862,0.28033185714277314,0.1724775798816399,0.1620719649086998,0.24197352277830655,0.11212565092117603,0.17166333646546456,0.11669991772588426,0.19178076241645425,0.18880527769984295,0.16599162221174266,0.1314274264979757,0.18498764101579027,0.1412939349098277,0.19416494434682516,0.22352640570588528,0.22530506585796287,0.17471524532441318,0.18721054070809734,0.18914129985020808,0.19467756402526126,0.1289926873063591,0.1340110617008989,0.3012922770680648,0.12480387960558717,0.13003941566336724,0.23982094826125247,0.21836137590674026,0.18792412992230678,0.18609297325316357,0.14804253212386917,0.14722496945902178,0.15809737514799851,0.15237105727057415,0.1823159776200916,0.13024063467367425,0.17756253560524637,0.19604542620583681,0.12244863770169047,0.14120631094397457,0.1518217157495901,0.16134964014479244,0.14334321352006243,0.17008765624096125,0.15831708798840216,0.183817535506323,0.15775007831512589,0.13692167380391682,0.1417605934473878,0.12447720244107564,0.24054677722690382,0.17571697846883472,0.15012125549188635,0.17675649746247962,0.1437220358929703,0.14293854081720936,0.22760519843006524,0.2605200964794503,0.2552918704807964,0.21414956739830635,0.2602073187768183,0.14854507868690328,0.17906995797575148,0.1388829540023814,0.1445868460092284,0.1594261358119333,0.12895555856814142,0.2446119307511133,0.16098031470049182,0.17033659089196765,0.13335850401816457,0.2901874873270971,0.18485761717430113,0.13131854414167937,0.12138392907891035,0.13155866711100941,0.12562856741504574,0.2224605445081565,0.1260307672335134,0.11951243368324573,0.171719385776489,0.13146397633982457,0.12405731833561844,0.12277882357871613,0.12978545883496104,0.15586389773595663,0.14213685282030553,0.1595726642450313,0.27397469454690454,0.15587082665529306,0.22210188416507856,0.17732248680694548,0.19434145494382593,0.11180727005027435,0.19383620135341575,0.1391410172045273,0.12401749657719681,0.12867837437553226,0.12716984076751034,0.19765046004804135,0.19784394827605792,0.22501938402103447,0.17135004123467856,0.14243702289538773,0.12464009365682387,0.14909380921428236,0.1199754616382031,0.14297789497696173,0.15622196042444453,0.11873096082004743,0.12622129715410682,0.13478951882214094,0.1456249885434318,0.11539405231116542,0.11258574865137619,0.16066634209499386,0.13432478803387835,0.1327503551616449,0.16024193963137104,0.15833979385312633,0.12166134016627683,0.18809247229202095,0.1326981264536342,0.22769978282521566,0.1787129500857072,0.15537343104893375,0.1335540037484453,0.15791211014140596,0.16363033094269006,0.1318352033690236,0.15100592160841084,0.128032848812167,0.11585247981076441,0.12486996058787626,0.14382152818557967,0.1373004250311269,0.12283441206409765,0.1269318582576063,0.12944677044121872,0.12821057909769695,0.1474173773291827,0.11576457441378618,0.15790025296204588,0.12900836326899934,0.12248666803099134,0.1438926843885059,0.14087219272431137,0.13064220760636375,0.15060709835981498,0.12890490110687625,0.12019125412679976,0.1889992709345557,0.10977383927643257,0.12438308732749051,0.13915940781716493,0.12461055918975157,0.11902176433252715,0.12145730691464394,0.11627309973643518,0.12660819296203815,0.12283072719575588,0.12502266279008964,0.12496369536464175,0.12792261346149808,0.14283736809935058,0.11427240732989419,0.12928150987494846,0.12518121991700423,0.12528177668990312,0.12317365486046751,0.1265300433901204,0.12279011833509187,0.1004163434055479,0.12287547448760083,0.12264621837112467,0.19060190757424647,0.14880054092115097,0.12258288531108959,0.12391211411349973,0.12169896565444718
+36,0.28188443743980257,0.14064270498748715,0.3506194895005066,0.18632146003056022,0.2952766875896291,0.13317768082896944,0.2901427803710041,0.17266761521261617,0.16827976049578017,0.23042575057682554,0.2297392448861816,0.11347442498497659,0.28331129566922714,0.209758546341479,0.19402238631426472,0.3021184235496526,0.18191611882481573,0.21151605373023055,0.22131018355240567,0.1985487896080301,0.2473375847775557,0.23914320726377306,0.21195387303146565,0.1856004076132309,0.2952185528199657,0.3444542975198033,0.23140593299502488,0.25216705292735314,0.12366018712535232,0.12391530117693454,0.12283028353966699,0.2001349741216214,0.12761684039960997,0.19559524534687506,0.1605425256030486,0.10967720852800196,0.11353017765036301,0.19215518055126996,0.27724017064251594,0.1259477603598002,0.1876343375216084,0.20370702636829663,0.12892462718994546,0.2514205075568067,0.2114815131078467,0.11439459731754895,0.11963374818581733,0.13744578721374096,0.119417254459098,0.20452905268055685,0.2273512249460963,0.290492864085413,0.24288465997238257,0.24247224158981287,0.11833271330311293,0.25675190359920474,0.12041688250954159,0.10763724337067151,0.20486789956696974,0.15733901823646762,1.862645149230957e-09,0.15555044425737075,0.20460287833844676,0.16108854786433827,0.1082381342606174,0.12484510366908114,0.26297436765315146,0.16626451258004876,0.1537801203041086,0.23560766306288297,0.17528342479008976,0.15815134888584834,0.12075050880524187,0.1720002288299227,0.22664881553134708,0.12881821763524845,0.12209541205296666,0.17749829757373456,0.13146067979998843,0.18442795729712647,0.21690521500791587,0.19871588443680346,0.14881435894891717,0.14985289743373115,0.14828288814103602,0.14936750591128609,0.11549175071275067,0.12162034680218203,0.28826427137887184,0.11573492349350648,0.10205959239524405,0.23666116982785404,0.2194382487825148,0.17462505569799774,0.18127449828761957,0.14232467254352196,0.12149133360187303,0.13002599679502466,0.11613117544582215,0.1414132244620453,0.10238913346028297,0.17153171705755482,0.18068202933065686,0.11622537165714013,0.13096200082917295,0.13783619722628787,0.1512826095886751,0.13865048735464192,0.13721634824272588,0.14678187854316177,0.15688368396832655,0.14912522314214147,0.11806685548938907,0.12214101218229295,0.13945702406206423,0.20998310274133228,0.149048520283709,0.12578372978729893,0.1709165395087915,0.13242195017746197,0.16391454617221657,0.2139593929832514,0.240716853996518,0.23558184502656587,0.2018624883969562,0.2609401853256051,0.14465257200591136,0.17371467742779906,0.13580776847728526,0.12562088543345687,0.15387440812545639,0.11690189834274176,0.22692032819771005,0.1488838699967884,0.16202953955036198,0.15065085223216784,0.25692552343753766,0.12492333179171508,0.11879895456855617,0.13768867368313564,0.13897184665761786,0.1045230075077737,0.18226108034176897,0.1129204694960087,0.10641530361853009,0.1653315663425915,0.1203567918130051,0.11204955441236515,0.11698936947929821,0.11619578916943007,0.1428845984740297,0.1286761883388361,0.15125402228546725,0.266833252786246,0.13889475119010322,0.2150482616253584,0.15915170478858773,0.17748327451362472,0.11133635383427617,0.18349528808498336,0.12105522560421222,0.11500909828242496,0.11836660959552403,0.11549573520834551,0.18804816225437587,0.18718513086090802,0.21581989796546802,0.16375362965290383,0.13332598932327602,0.11299481953365918,0.12719871336054386,0.114072727012767,0.12324338690759433,0.14520115564902167,0.12264096899682411,0.11214479574541293,0.11441360950425102,0.1266782855694192,0.1918923771020628,0.11330386594858315,0.14650322228211526,0.12896718002923901,0.12078337037783028,0.14106208098845222,0.13047537985236468,0.11318622862280328,0.2134613038548352,0.11916043884017603,0.2129135549503572,0.16617702060287964,0.18888831234833106,0.11402072392789132,0.1523608458774494,0.14566788274514386,0.107203373715861,0.1067342384277624,0.1173942910279566,0.11312639538684882,0.11230659085977235,0.09812682221853636,0.1213488862004271,0.11243705361714815,0.0968962889118194,0.12237802088079465,0.12416294136619528,0.13910315310246565,0.11428423721194747,0.1428147828994614,0.12223169220507038,0.11350527982064997,0.1322896017955978,0.13016658787718258,0.11728268384649233,0.1425972429238405,0.12259495995918128,0.11400882701821645,0.17148560963653695,0.13211656091900137,0.11335385105417665,0.12578405797302586,0.11132784121340682,0.11574851572364951,0.11094067033915121,0.11376921547605663,0.11223582779213463,0.11217890726867086,0.1104398921429915,0.11506944962325631,0.11320392180000444,0.09099856323328868,0.1141361296232321,0.11827981177343012,0.11867324558589103,0.11331697875645573,0.10918083999881545,0.11437167222656953,0.11339686267368838,0.1324410126772896,0.11274981594802284,0.11266219840679896,0.18316595562084934,0.1367018738623091,0.11322296151218755,0.11453520621460393,0.11355272978163437
+69,0.31760292578290816,0.1659599729261273,0.3746615231950359,0.20820702513157907,0.29859705773521106,0.16595141734203045,0.3064446946324643,0.21961839705817632,0.17383599627351656,0.25356980784632077,0.24725305977674192,0.1360338052519795,0.30276555620832873,0.2272906204144486,0.21586063579784012,0.31579805572911834,0.21241357717518006,0.2335107260460489,0.24130180518489688,0.22005739657721426,0.26095927232726124,0.26120652819321033,0.23903817272839395,0.21183776951527894,0.2785069245278337,0.3427330225814109,0.23506986422915252,0.2694214385083464,0.16213157267289624,0.16064827664158185,0.15682050590162888,0.1780455145126465,0.1650690447350459,0.23025811115939893,0.19147141474005067,0.14933837252390317,0.14997217775947772,0.2209923679080308,0.29440370500195207,0.1662105237265826,0.21729442249764816,0.20670169134481317,0.15075335467524933,0.1648818801045951,0.2574002799602787,0.15323504243931166,0.15557619528219796,0.17107839305850586,0.15813883982217933,0.22607671192957113,0.20096392750583264,0.2028934907057099,0.16435289950476728,0.15953738269564294,0.14836619211763197,0.2952563764283555,0.17706457821929064,0.16207900273520787,0.23212218158265968,0.18144900683407056,0.15555044425737075,0.0,0.2337559523913853,0.20016078665488016,0.15039262003692805,0.16595095320939696,0.2778273120571977,0.19475448298248837,0.18784929297324698,0.25300102997043106,0.20441913763274405,0.19624695873964842,0.15666290710358236,0.2151760468250373,0.24836265963195808,0.1906137940140617,0.15906223861622334,0.2013594023296061,0.1691095072429652,0.21353490095164038,0.24904541568453836,0.1122645095391775,0.1230322595874873,0.11035102913618404,0.08708950412269537,0.11446676385391827,0.155411751721816,0.15976078142553832,0.30805494282447515,0.15100020825697436,0.15274504719816404,0.2603115422192555,0.23907624185919504,0.19422545195407762,0.21344684120255134,0.18320539213752446,0.16847065915374135,0.11516841888327732,0.1712455249717884,0.18474928611173277,0.11974285901506235,0.20690346879956878,0.21239047911979347,0.15389496151490198,0.16649738887595214,0.1720145054216159,0.18357890148718908,0.1688122111567968,0.16069506256424185,0.17497295878326602,0.20418218061386717,0.17549903474980383,0.15487181523700252,0.1693956868848157,0.1752275125898534,0.1256426096480826,0.10016362561432968,0.10651221412401575,0.2039755176814395,0.16624740079677405,0.2015483223409114,0.24857360653647917,0.2783440159310237,0.27354411618368785,0.23821710461785878,0.2970158720579776,0.17266481528898978,0.196458397010744,0.16809223385545535,0.13322628878998652,0.18642806976289858,0.15899441456540733,0.23594923097301201,0.18990799689334492,0.18334364614777063,0.1916928578372136,0.3070469923852236,0.2013051814359938,0.1585713393454375,0.18542504602765375,0.17126797236554614,0.15171325865177895,0.24355132514663216,0.15518110920026545,0.15574827774055156,0.1938155990070672,0.15735602907405227,0.1505640560391598,0.15388699956922464,0.15563333916265987,0.18075927866838615,0.16356646252031276,0.18121419917530918,0.2943281014603355,0.17066428503221648,0.22816589908836843,0.1946615711822617,0.20140704432759074,0.15140679313457436,0.20924119694505833,0.15639575300999028,0.1538935938305086,0.15772352001359635,0.15550102407973568,0.21577400413600586,0.21608809657728031,0.24067430690747074,0.1948964601215774,0.16878073574675778,0.1519447804891787,0.17537206711384143,0.15242854084022592,0.16094853882491952,0.17339548019608078,0.1676781516437963,0.15447667074703542,0.1534012705009861,0.16278461217967669,0.2164847654302353,0.15042134396094337,0.17848673979836768,0.1616707340356798,0.1580986759056179,0.1782155762092596,0.18440282769334806,0.1470482651149189,0.2398360078433643,0.16066919101080765,0.24408759737835584,0.19369161811725535,0.22280520300350307,0.1588449253239159,0.18551985404327254,0.17642528297536908,0.14321837469568327,0.17629192510687988,0.15512045421683912,0.1507009590404667,0.15145999050881798,0.16909497633415171,0.1579742117877225,0.15153243332215707,0.15104089052467687,0.1580665497426811,0.15936240276545818,0.17456189376907277,0.151734669318902,0.1715149728031127,0.1690962110072736,0.15171698929033034,0.15733084809961578,0.1664452315635044,0.13316815888988293,0.17499273624663605,0.16010428324488665,0.14931311188518193,0.2020801444606343,0.16793509588152253,0.15263577272430986,0.1637111093037251,0.15245958482600822,0.15441785838482716,0.14967964245841237,0.1522776521383806,0.14241433032824857,0.15179785600197096,0.15467555001705047,0.15369228876487445,0.144175216786288,0.17317349464208093,0.1534303827335549,0.15663228175862137,0.15221473212365205,0.15472403325213183,0.15078642502253842,0.15317619363453192,0.1518125006442767,0.16629432448002227,0.15192464333999137,0.15135329446053866,0.1973468496635617,0.1703450838687023,0.15318788743713174,0.15309072321553216,0.1518658468224085
+196,0.3367650341289917,0.21054502568653657,0.37859650050815236,0.22472506208380577,0.30243610696470913,0.19027381956898995,0.29293578562737166,0.19782181512176022,0.19364133824814603,0.2519967121551978,0.2695238403670747,0.2023443679021417,0.2951068647263845,0.2500207951799672,0.24471859640036178,0.31086180106088196,0.23143933807532222,0.25311753660462294,0.2603347166671016,0.22768809453679095,0.22195662516998804,0.26828846972541576,0.23960801110194013,0.2033582507089153,0.31256631552476544,0.3637884641178199,0.2303925214726288,0.24003074507420055,0.20835213794534185,0.20876142964172473,0.2037775705103874,0.2557799210773266,0.18328889827070596,0.25195578180632333,0.18668254528270306,0.19723583282183846,0.2069276608259446,0.2083976318430339,0.29305588921971215,0.19579283548664547,0.19038336629966732,0.22410514210561847,0.21307683428720056,0.31096380871155016,0.2192607610761136,0.20311603473508177,0.207813867860711,0.21279385479828092,0.2039450419992111,0.23147982098704786,0.25823303016515337,0.34837490733565,0.30979552405168864,0.30165564454403176,0.2083290147514423,0.31391786692037577,0.18465952334287264,0.20733553158037477,0.24574673947212605,0.2220924327544394,0.20460287833844676,0.2337559523913853,0.0,0.1977185752229933,0.19091469258137325,0.18871418684295826,0.2617284212447154,0.22669148247524318,0.2257137032636804,0.21331998810446712,0.23383092497207286,0.22367039559701626,0.20880402224376696,0.24608888825691605,0.24156020929303554,0.19707239772971627,0.21224923263103276,0.18646000085392347,0.21073718769779187,0.17705791392154607,0.22001219984029663,0.2672760666303175,0.2212048043653764,0.2310963936222645,0.23806009252101254,0.21974368316198112,0.20384937228033884,0.20224095615424423,0.20900954478898812,0.20573379351958113,0.19390324661288857,0.26937175448198974,0.2593081872068909,0.2287117073115474,0.2072355148371154,0.19006336859916995,0.2165812578237136,0.19896957118724964,0.1786373522726151,0.20823856628933687,0.19944999529701157,0.22029422022202186,0.197515042546378,0.19629025062923533,0.20370033007143612,0.18218070755728874,0.22134886604301368,0.2163648362892269,0.18399397362171166,0.1887621844837935,0.21310318805800016,0.16975570962718434,0.2083480414514328,0.2117302946675784,0.21667357963502323,0.2748865418885012,0.229130697816483,0.19336143736694933,0.196939518593872,0.16507964309708217,0.21186030211851992,0.28312893579500137,0.30377593227600025,0.3015766416737691,0.266248608575798,0.32109069871399876,0.21557312914702162,0.22872781759046776,0.197090336960544,0.20264385859267325,0.17645364592795537,0.19151046410368822,0.24882602993514588,0.19085692302493087,0.17742525034375134,0.23175012297469716,0.3296676374274507,0.23137408701478804,0.20697464361139772,0.2000460909487297,0.20237445965532105,0.20424771241595813,0.2694525882958207,0.19901784443015957,0.1888610366593314,0.21539152979761328,0.20260737947855104,0.20300451218717674,0.20502451378691317,0.19654331180437162,0.19767515451369608,0.21331551923668807,0.2066310775850483,0.27178461994364644,0.14766798212800486,0.17648134902859255,0.21615214394753626,0.18637566273375142,0.20122500845264457,0.22257196133709256,0.19120300939377674,0.20505224503656552,0.2082029079992419,0.2064166283847943,0.24790695734813503,0.24728101789789553,0.2656730668513514,0.21837775829148007,0.21308494416728846,0.20802728666890433,0.2154582756240733,0.19971658648263618,0.19003209544058133,0.18783299372397988,0.1995957101335023,0.2096335624849249,0.2003213884333923,0.18940299497694943,0.23770289082199805,0.19643075923355316,0.20973761138407532,0.19516125726676184,0.20062187037054918,0.20712185411619805,0.19220289476716418,0.1925685530411977,0.24271644920349458,0.20684595369802625,0.21966976136616512,0.21547933066000624,0.252187667821181,0.20819409293409,0.20927731267752747,0.21147979910168732,0.20813781624366268,0.220232109159195,0.20943080676013753,0.1957293624930278,0.20612136443028556,0.196302813304406,0.20517906064033928,0.20624961112036339,0.19592959874555718,0.18939748836204354,0.18875558914166227,0.18091132273383964,0.20239247384769618,0.15982640097208045,0.18878688634596383,0.20890693892380882,0.21197319455479258,0.21880181708311353,0.20902620631583252,0.21744522750609008,0.20562950414662237,0.19192014338907215,0.1789580873907429,0.2189523846106596,0.206843696895766,0.2076003222733818,0.20429123102944985,0.20694339548914467,0.2010292545819531,0.2075471148885168,0.20615441077071703,0.20674729829642166,0.19813374075813445,0.21042583052804015,0.2049283942365043,0.21550515762965503,0.20526500690183616,0.20845086851572855,0.2062124280935205,0.1988075414136364,0.20529827499930825,0.20571033662850277,0.20894520883193346,0.21837270978209503,0.2088429280818949,0.20811695524695104,0.20357907396915875,0.2052493506796843,0.20471958753182018,0.20523983936693344,0.20724900380297903
+145,0.3148719102282716,0.17103118956831911,0.37066687875567306,0.19141927330666259,0.2942720671196315,0.1619921402381213,0.26170631836097363,0.2043479882869391,0.17987868622576614,0.23338636029174162,0.2463627890709414,0.1604299423620528,0.27669148017254996,0.2289353936733513,0.21056074383551332,0.3024905064697998,0.20455254950914475,0.22305592304472463,0.23812671706005503,0.20683089728760584,0.24917649596229402,0.252819769546726,0.21786148289956658,0.17388509280700243,0.3057350819008581,0.3425858218007557,0.22385152889716647,0.2125379241315269,0.16386870722632418,0.1679666284247174,0.15946780433712085,0.2368095341775254,0.1532648182597928,0.21659233656714133,0.19865615599655717,0.15083129088343744,0.16427354304529382,0.21414070352646325,0.2813044174188779,0.15300507879215408,0.1863184272125451,0.23297943052108103,0.18038514906732767,0.2922627654253869,0.20972669226527987,0.15664711772492249,0.1698118140301793,0.1391217617247775,0.1535329196718604,0.1783691652660141,0.25425723540318,0.3335377897897632,0.28549835326749434,0.28128122595187827,0.16643190104036043,0.2914703246900886,0.15612308207794176,0.15535377850705168,0.21952701168689362,0.18431794114851882,0.16108854786433827,0.20016078665488016,0.1977185752229933,0.0,0.13768033409707503,0.14330703301006495,0.27267669741953904,0.1963124557863616,0.18905462038298532,0.2400451681867475,0.2011941532799754,0.18960501386731976,0.16802023062479543,0.21915882068734502,0.20105298768371627,0.16725326330662094,0.1672231933244071,0.18341837997689628,0.16342749180883465,0.17724927388089928,0.19781677598335126,0.24120267251362423,0.17500318014279623,0.20260548147948534,0.20538569786273464,0.20722228204314314,0.16450289299669524,0.16573654354495596,0.27353353530099667,0.1633999034888442,0.14274786207616663,0.24578233132696953,0.23227788928101278,0.2026472817010982,0.18839422368707312,0.1545009612203812,0.17534425824906846,0.17250264669510396,0.15472713214459147,0.1781838666105208,0.15974798139079852,0.19886274700649703,0.17553762730595482,0.15963290738752658,0.15131941113015698,0.16672826846922262,0.13927220343633187,0.1777554556584532,0.19346787411981545,0.15886418121577728,0.16171220312708268,0.1614546865605718,0.16354114839112988,0.17528125711200962,0.1747494158350641,0.25404818913854693,0.19847500216554742,0.17141387183528545,0.14772212433403167,0.153214039256035,0.17892352480150936,0.252712451558344,0.2763410446765368,0.2732503062875051,0.2361325676354271,0.2967614166304583,0.18132491251735444,0.20005965367830528,0.1649775572045131,0.17574135939421442,0.17767159249976308,0.15876181985259882,0.24847076091587328,0.15037384272191753,0.17740131684160446,0.1980471030725507,0.30422399918799714,0.19600474698561685,0.1555061020433458,0.1863278453533492,0.16224797178846984,0.15413928106340474,0.24061572614114116,0.15682624473406173,0.14179685154340804,0.19390243325453832,0.16147132910384515,0.15782597860814093,0.1620763107126426,0.15910185435326513,0.17161297068597517,0.16833600015338737,0.17999276277287496,0.25269096579521555,0.1530024735199485,0.2038882537809085,0.14714660345502414,0.1623503336257153,0.15879744546958724,0.20509914904313767,0.16374915980399957,0.16121097456304892,0.16245868384028972,0.1598380950154248,0.21419795441601674,0.21334798255500373,0.23579777616967493,0.1920266296852699,0.172710353956009,0.16336930471847344,0.18082810867055574,0.13394855871642977,0.16232528396321572,0.15027240039903067,0.15173660525346305,0.16543016433477759,0.16557213512729574,0.15518937528271728,0.20934662532931508,0.15539944585252338,0.15612068736758733,0.16230572847994665,0.14727633524787248,0.15940782592540914,0.15088900338844113,0.15317439067641603,0.19721956830101825,0.15775461273867838,0.23018121256168564,0.19105072843989038,0.21409845109289186,0.16863129003653482,0.16619209112221864,0.15281977647543968,0.15900795830935915,0.18255442181756015,0.15267865164172903,0.15868873957491836,0.16367917612466995,0.15766379642325629,0.1527414899197194,0.1594130190373259,0.14541929474103693,0.15826712257931666,0.15765175286341337,0.16838938574779877,0.16359179867711243,0.1694065700085332,0.14825893673274182,0.16259805375997352,0.1736237148652039,0.17482897007269232,0.16864174703748397,0.1781114879969088,0.16745323110958243,0.14254670340511214,0.16635970294975097,0.17838165538835685,0.1589177892495468,0.16926367500064485,0.1606068235896982,0.16343527606242092,0.15947643324585184,0.16284796988912978,0.16418249557497458,0.16183268810474685,0.14229909448243638,0.16464442869997628,0.1641920344859287,0.17540529321161077,0.1637459603807078,0.15228191750403222,0.166521080825988,0.15914042001237239,0.15954786830546386,0.16472854971244957,0.16299491907837024,0.1763875931561182,0.16303559334782913,0.1624987946412149,0.18965306407586058,0.1743916357601061,0.16010213740194737,0.1590115184215851,0.16291225712264656
+131,0.28347955609585224,0.10883681954711934,0.3584061186983051,0.15974873762104988,0.2959030854982541,0.10441982937239995,0.28016686875461744,0.17387442497923788,0.14751651567067753,0.21082352889737066,0.2130423058048746,0.07045446745460116,0.27447462025372066,0.19101376865968667,0.16782785770122322,0.29290600062954486,0.1594003844026851,0.18803099072038484,0.20316657989668216,0.17915023196523333,0.23433444021973251,0.22186593634242394,0.1964859501408769,0.16721099755246216,0.29938641387177467,0.3363578543823149,0.22023781623023678,0.23179719247361974,0.08239134744687021,0.08233218498293204,0.08214160746734175,0.20480048136255793,0.0877670082029487,0.18635639243140434,0.13305249710013958,0.05590216626242198,0.06949854829596903,0.17232926025577297,0.2639843834139547,0.09204442901023027,0.16700663434632498,0.19764679741573254,0.10940791644430845,0.25801892833452333,0.20996360056811508,0.06697373284244636,0.07856800878547776,0.08310072334102177,0.0686828106917237,0.17137063205935002,0.2178701953159046,0.3040345429799324,0.25969147900548506,0.24424266184810306,0.07228015809067156,0.2591554124775666,0.10513419814212936,0.08403249647291464,0.18557177246778772,0.12515416324690337,0.1082381342606174,0.15039262003692802,0.19091469258137325,0.13768033409707503,0.0,0.07941532153606053,0.2493534122104931,0.14146392159165555,0.12677101531203114,0.217173432968702,0.14929565058133484,0.13506784622653156,0.07305092072937157,0.16277624893210935,0.20607288082854291,0.1328522006831545,0.07752581132630183,0.15767407368925718,0.0916570384076659,0.1521593164267147,0.20684212319912135,0.1951070487338079,0.12872296518514995,0.15120911173380383,0.1535267008457911,0.15724577090313974,0.07383162677022184,0.08090121267259154,0.28204609049901314,0.06903399752697703,0.07691460596414379,0.22601760318634134,0.19937877996061973,0.15078105231250424,0.16193561332636364,0.10578824786837139,0.10887773522053762,0.10299048933308917,0.09582164820883232,0.13955084916981014,0.07259415514662783,0.15661815216442374,0.16103174125662817,0.07476531138291356,0.0960961763512035,0.10852609977816668,0.0989438764967388,0.1040281086307833,0.13556006408169646,0.11847739057758581,0.14046094704951922,0.11803537187962178,0.09692790704554381,0.10117494472827629,0.10716302911211852,0.21279202354278884,0.1380234784984842,0.10298745753473545,0.1313351739129722,0.09539971885150916,0.13975646132890643,0.2065780198552847,0.2388673941519267,0.23262410922937082,0.19212582681569298,0.2596285638464961,0.11259962148723056,0.14940645302037076,0.09636151797598387,0.10911309809094931,0.12094718092692355,0.07232040727314547,0.22049140215823546,0.11906716576041443,0.13604904568524248,0.13001720014483112,0.2712803399137905,0.14637185767619385,0.071687812901569,0.12645602874663125,0.10971959013736265,0.06735076308435671,0.19706239541366333,0.0696837988943885,0.06730677252219343,0.14241228344154302,0.07654145796071221,0.06352562127894623,0.06898506729719049,0.07518273549631675,0.11280309775590791,0.09239239273572702,0.11903853594027791,0.25881287612895926,0.11902425487570226,0.19750083724190942,0.12616534470303795,0.16694969635260642,0.06464192387260116,0.1667270476848509,0.0835098181612,0.0666058752147152,0.07519445825087093,0.07439905505733266,0.16337371229314004,0.1640078051745671,0.19504273989373602,0.13470686515872446,0.09691048893930242,0.06492766459991454,0.10673595982036357,0.05553503287356226,0.08244879087566187,0.12314693989511898,0.09709311883009888,0.06729579303472065,0.08752807873661582,0.10799457726312309,0.16730126145511767,0.061834080153505284,0.13404623886013545,0.08840195419205377,0.06972988267899141,0.12968696107432715,0.1343962217782433,0.058962021352986727,0.2026071952271265,0.07897170232398819,0.20016381355048868,0.14271931510608776,0.17609911787621793,0.09273459042357207,0.11576611775691933,0.1324936440400848,0.07601157701774519,0.10723139253220984,0.05984654014230739,0.06516564642562482,0.06522761130214429,0.10299892624036873,0.07636031779808344,0.06187925602229484,0.07369794548117085,0.07905596400724067,0.08998544779934918,0.10474083193363042,0.07240462285697341,0.11458437325905935,0.08928582181370696,0.0612941278899968,0.09574810750605063,0.09145445558797649,0.07909551180745121,0.10768788292707158,0.07977931531705955,0.06989891675840647,0.15320208676041241,0.09476103700172446,0.06474683691083459,0.089186402343116,0.06358724230233764,0.0670312842769387,0.05904013544909027,0.06321637836317508,0.06805520861098716,0.062435805065007476,0.0763340890276614,0.06602254960154895,0.0698389062483118,0.10391547911478664,0.067320512183461,0.0641282751199302,0.07771354349832138,0.06941515304550434,0.06214374556695407,0.07027320489294633,0.061389470102998535,0.09219155638918805,0.061558636506351745,0.061426300469171795,0.16746990290810876,0.10994515042432584,0.06418321759026654,0.06562903116103533,0.0629919166700351
+129,0.291302993744659,0.1295856280314808,0.3547963628902797,0.16199108137426135,0.2849563373838419,0.12146258577077654,0.25929591178632966,0.17687856502657412,0.15790155076810028,0.2132073903002801,0.22329255017987645,0.11024741690832819,0.2605239431550371,0.18851282146989437,0.17199382831234866,0.27918892746344404,0.17798938954266225,0.18679368535341548,0.19981812280764585,0.16648278597746408,0.233908627752307,0.21238510455483378,0.2074571167167558,0.159986945476351,0.28466302760218,0.3309137832002046,0.19562745413040264,0.22361133796731986,0.11434749674333725,0.11733137844642368,0.11654788429207602,0.1997698395421357,0.09737113521795164,0.18981160636276176,0.15835241634595898,0.09948891396911315,0.11213451439630191,0.17837305881932478,0.26626665496485313,0.11062291187337829,0.15446216458048534,0.1917794374007682,0.12748094431929233,0.2657767604228311,0.19876414582494545,0.10463604834748517,0.1181643964228764,0.12592616415119104,0.11344562302723143,0.18614586146531287,0.22367930157779542,0.3074918900597239,0.2678307291205809,0.2553046930252408,0.11091436961386089,0.2682651297981863,0.11917695790886951,0.12212307489962776,0.1830253247572671,0.14250952660660862,0.12484510366908114,0.16595095320939696,0.18871418684295826,0.14330703301006495,0.07941532153606053,3.725290298461914e-09,0.2404792597555666,0.15831781063291905,0.14926371208196232,0.21951694526032633,0.1632302926577442,0.1481635225305373,0.11649937669496335,0.18211484392261265,0.19278703116530457,0.13729498403643667,0.1181244235925313,0.17046766573693,0.11881497539324745,0.1661617070757113,0.17982532638384693,0.21017995828151323,0.15705854116246268,0.16521459354613888,0.1705635844463652,0.17249679451682973,0.11285832247825801,0.1137842618974694,0.28386984784662145,0.11202420243264294,0.09884236929074106,0.2199894578033365,0.2084161358748748,0.15679077146575396,0.14896803139330095,0.10734228511302733,0.12622000601000136,0.12247039487441842,0.09678831894419457,0.13185308391615805,0.10302549488043443,0.17014704341973044,0.17562779012474075,0.10998010274002168,0.11283691089611145,0.1317448860915032,0.13925324627905986,0.13268572194218906,0.159277821261275,0.13063349713578615,0.12900940475748732,0.12716230668247905,0.12606281393024843,0.12920712862850411,0.13068316491424217,0.22472403612545458,0.15869093414831162,0.12908285451239215,0.1225196594531466,0.12009451053466258,0.1375592780515834,0.2218084709204011,0.25063167425240196,0.24483856122967523,0.2031235355280343,0.27121136393531325,0.13642439976311804,0.16291695801502012,0.11980016915584074,0.12824382379530758,0.13962659089073243,0.10118152885383112,0.21175886669974506,0.12354365169877383,0.15126960511900245,0.1566691198029052,0.28072275785089007,0.16239207599903002,0.10964517029640322,0.14821673000044291,0.12327843745274338,0.11028641988340959,0.21007811384908878,0.10963976727337466,0.09766154559448693,0.1555087199662715,0.11533920237169817,0.10825390821571176,0.11047444280198762,0.106515861727932,0.13544506884810553,0.12542926508616084,0.14265165869598234,0.23920975709451642,0.12828488510175473,0.19187835892303534,0.15307163515348496,0.16639563141291888,0.10333023719988926,0.17382796757928964,0.11348396821885273,0.10956784076750455,0.11354250527207363,0.11042592965043538,0.18616523595366363,0.1851676773641997,0.21361217717405653,0.16159152436653812,0.1299041346553917,0.10921581744705759,0.1372531948493627,0.09382033426943062,0.10747341095276099,0.13276704787308838,0.11396364879929316,0.11180356416303588,0.11362896158556211,0.1322767846198421,0.1753615723683558,0.10387481918449334,0.14745545483986197,0.11623933451368551,0.1125387983305609,0.1459111526781768,0.137019379817832,0.09845585690472057,0.19001027578049717,0.10692947044475927,0.19388382495800435,0.14651391018454216,0.18132049123396543,0.122718848841725,0.1359757133187037,0.14739333924814849,0.11676035759679448,0.1384877857167898,0.1117127564383612,0.10616027708043536,0.10977354733317833,0.11878953184889567,0.11993776531046901,0.10488975539956906,0.10146085144377406,0.11366372193399037,0.1170467909860136,0.1222588730286557,0.11299211469606678,0.1278208514895847,0.09427403296289177,0.10817505638198639,0.1195042558786701,0.12810876961076462,0.11437134204432835,0.13825772411995416,0.11941674739764005,0.09596986868163487,0.1633974250080095,0.13074092749713245,0.11047547547948511,0.12395606292769215,0.10865012070057593,0.11087372411371582,0.10487809702694474,0.1092740070112019,0.11140907359064872,0.10750083309993273,0.11304285803773333,0.11103689448263998,0.11295406455300795,0.13534205857003206,0.11026177814875716,0.11033604737150306,0.11827583979934597,0.10915673227818957,0.10831826771969405,0.11264081350514378,0.10857301317970357,0.1281600102900479,0.10870063766205292,0.10842728272630009,0.17104558380707874,0.13081803469111525,0.10809846141336021,0.10939867440712671,0.10905509402855923
+184,0.377011327676318,0.24363660540085535,0.33512421754797656,0.21596815824952798,0.2942596613560816,0.22647159525424151,0.31178478175797353,0.2369094423171688,0.26275906127396154,0.27645438652918025,0.29912628643561834,0.2699022260403213,0.3365349742475893,0.2792240588241936,0.2653044699317853,0.35598554833901086,0.2556248909906183,0.2591429660304994,0.3122794795874228,0.2616766328645389,0.2695158583349093,0.2684154636959275,0.2898885891057874,0.2167806643138604,0.27425582815582106,0.3526126867844412,0.20742703854464725,0.2461522716944741,0.24553220642249055,0.2678355220158795,0.2734058019792922,0.2300797360976281,0.260328571990487,0.2844757225284015,0.29732341711231536,0.26761977298253636,0.27572527834802435,0.17059464272021344,0.31982623672416627,0.22838758955788038,0.2584254068898292,0.19587790323582688,0.21994788374501384,0.3347699652945737,0.22335346159818048,0.2743072942564665,0.2804003071422484,0.2759172690387311,0.2785362120022689,0.2634505735089846,0.3152453757613571,0.35897872571823936,0.33426738591495664,0.3341942924001275,0.27596798042585463,0.35993792721067985,0.2714823135681518,0.28366543353100415,0.17579842225254838,0.28033185714277314,0.26297436765315146,0.2778273120571977,0.2617284212447154,0.27267669741953904,0.2493534122104931,0.2404792597555666,0.0,0.23049232419220755,0.2362658600713027,0.17093616064353545,0.2697037077560038,0.215976768116091,0.2783370798109663,0.30874788032889133,0.2744053515380096,0.27010641642102007,0.2820048117190436,0.20719947494590707,0.252418463320529,0.277660262839105,0.24545883842540817,0.31110917646981157,0.28636138336334166,0.2760741627319237,0.2876233852141132,0.2884318722108454,0.2796911778967595,0.27399397311064805,0.3290272401230528,0.2772054455265752,0.26673425509016535,0.32695304085198457,0.299570540712706,0.2795972304009928,0.2766437134268113,0.24283423702424803,0.24360044981047166,0.24196278731097676,0.22585104205927148,0.2572745421455603,0.25520536130692595,0.2743304191587944,0.2769610303793169,0.2563957076197119,0.2701627273479688,0.2688571334592754,0.283070262615537,0.28128733386022586,0.2921382671497411,0.26037370375691515,0.2660781359557987,0.23677847610919045,0.2715038565858792,0.2561187900769128,0.2590858965575897,0.3194188305828213,0.2865566309444415,0.26206079400441784,0.2110086883994131,0.26109977793067574,0.2680358858152107,0.3302512783961399,0.349193980301633,0.3487447618374579,0.31239341864539893,0.36223053543800454,0.28036837459008196,0.29700168842611174,0.2643394068514161,0.2695658388086561,0.2817278126412924,0.26787676766968865,0.3127767647865881,0.262011752847133,0.2645080129202389,0.2963886840321835,0.37223309686702705,0.2785100538470589,0.27934775848232024,0.2905951332422736,0.2764509560934,0.2789381775565875,0.32551577076717075,0.27565244904800096,0.2654060835595,0.2955641449693608,0.2791420021054128,0.2764321188775444,0.2780622721943768,0.2739412155427462,0.27225747742378165,0.27240891977397497,0.267170055093179,0.303062214389556,0.2463850811638214,0.22344759895310914,0.282823319651819,0.26241181297043414,0.2575643423441508,0.3030301240959821,0.2558389318732184,0.27497910401043824,0.2629056270819831,0.2687733307586854,0.3024340840849056,0.3039616696037774,0.3185915238571451,0.2882861885783072,0.27421648509813107,0.2781709371591488,0.2898901937432832,0.2586858506313335,0.24294423145594582,0.2660466344209637,0.27444382840373516,0.2792182921370483,0.24180160594092495,0.27078567774804957,0.28592472407061054,0.26941643467311965,0.2817208479364635,0.26575766636365544,0.2728445016236994,0.2790072927755114,0.2606529984017483,0.24727418325863695,0.27543550392332034,0.2757262812511114,0.27634954490273594,0.2845314705350002,0.2979926276221762,0.2799752696165612,0.2699737271530714,0.28054520940427613,0.2798428582005979,0.29032625880501384,0.2785634507543656,0.27097823783606917,0.2783486271771479,0.268537316888648,0.27807479131787777,0.27491453473288635,0.2683112076081897,0.27132557955767067,0.2640711830650119,0.2277752544118681,0.27699330319210885,0.27051648637516124,0.25504913340557767,0.2780551593818211,0.27363187054463917,0.28557565548798264,0.2761795265948707,0.2830546995677021,0.2812534873163558,0.26348583048101065,0.2679198674107772,0.284140153913542,0.2790210758828335,0.28368456126448166,0.2783838737714034,0.27744115230323824,0.2720597796922016,0.27832846691154867,0.2779236646826774,0.27761899098646176,0.27746185986047156,0.2793101524672364,0.27936111131435654,0.2884955894221006,0.27662584325535367,0.2773024033098953,0.28025800310669624,0.271749040327756,0.2775586593100992,0.2789797026624267,0.278231382910463,0.2842406664854355,0.27836727083582596,0.2781685263867853,0.2795852592979019,0.28603551942852434,0.27731105167516135,0.27904396932605513,0.27815863305612354
+207,0.30247090929141124,0.11581377621557214,0.31100057221675625,0.13471049144507824,0.2625142505993563,0.14103180702311657,0.2902546948603193,0.16729506864530166,0.15582729705203166,0.2120111144613254,0.18573090740441894,0.13407980228706012,0.2890684386961034,0.21674804597512876,0.19331627377882174,0.3093090550854382,0.16435558395575944,0.19793592722375195,0.23461917660061232,0.19999307559355095,0.23091116806196085,0.24070402716246786,0.2040521351763382,0.16865720852182567,0.2962440973480163,0.2970165469624477,0.23980039183145568,0.2415888767484187,0.11214027610423291,0.1406928371880917,0.14854398736519506,0.2382614156002464,0.16054496043821112,0.19138500046865703,0.18190861596298072,0.13684401292077258,0.1431390956591716,0.15675399967782921,0.24561920023510087,0.13326258388408502,0.21639442068013273,0.22782207001267604,0.14680909028264894,0.273725871208617,0.22624914992830084,0.13811771181201082,0.14932151747092587,0.15582731451371684,0.14452402278977544,0.18992941423672766,0.23974167729678533,0.32456790390278645,0.2803274306139096,0.26732480035893236,0.14374631069465305,0.2863336394854209,0.16443544427906154,0.15223244607934333,0.15149579404627458,0.1724775798816399,0.16626451258004876,0.19475448298248837,0.22669148247524318,0.1963124557863616,0.14146392159165555,0.15831781063291905,0.23049232419220755,2.634178031930877e-09,0.10676521413956672,0.19065520860678958,0.1815979730530341,0.10901424689203246,0.1471629134800537,0.20248190613891442,0.22267382924981505,0.17617134054370923,0.1487361234045658,0.14916722284628522,0.11139520874950895,0.19945719537405054,0.2303515999699044,0.2292844971734994,0.18460092332867034,0.19806348594791595,0.19924783156073,0.20157376087108,0.14127952078273098,0.13703241755986792,0.29926654845683237,0.1433151076016729,0.13821071726035938,0.2563546607140852,0.19616387018832213,0.18123822391163005,0.19785900643452659,0.16364522069822932,0.14429555429678992,0.16664337364992196,0.15854905969701055,0.1977508097776168,0.14993584850955632,0.1869433354700075,0.19744075883787593,0.13962851402685542,0.15795304436582824,0.15313273376119751,0.16991585108444593,0.16241631890766722,0.18563275175533644,0.16560388360479764,0.19694612597242128,0.16950782426972663,0.1585329500978621,0.12439797601266751,0.13849056365652024,0.2456943341361219,0.185697147709904,0.16157482615155544,0.17943657018700926,0.1505403482704375,0.18115014162671436,0.23721060278881684,0.2648771330320464,0.2612993559700111,0.2197577128068273,0.28535959225914315,0.16187521027328405,0.19348618153742905,0.15863534512683955,0.16412169749263955,0.17583355985956056,0.14816643454252365,0.25800334920200846,0.1782307473093591,0.17877563323080148,0.18230140547278295,0.29550866732421466,0.19476673056771276,0.14159130756486965,0.17261017033031367,0.1538553626173811,0.14257448491434258,0.23016707415074694,0.14429093496620166,0.1466188774086725,0.1903726478078433,0.14869004022364468,0.13834812508495709,0.13601173911503678,0.13449351449377644,0.15564506315895818,0.15131181144733596,0.17131786260300003,0.27812895379640845,0.16843651030000897,0.22317413591807997,0.18508963462610498,0.19270204261348664,0.12243507889434402,0.20796363618372354,0.14927743681923056,0.13322178950723124,0.11576189490786555,0.12470185238221203,0.19833997240756482,0.19928060283802307,0.2255901971404483,0.17827509915031914,0.15185941062182867,0.14251396434551197,0.16392738958822686,0.14246191100496283,0.14468115607354945,0.17813614133374203,0.16123919922273597,0.14400766276641588,0.14747081339730903,0.15979871367110474,0.19544798288437476,0.13974672633228175,0.18192459585091383,0.15314757131734752,0.14669585619728492,0.1801060508919784,0.1709343814292384,0.12683114706035628,0.22441433880537712,0.15003501792481108,0.2248850656321665,0.18244612608395497,0.19952308465516555,0.15317705598352668,0.16757595699046596,0.18509565593834007,0.14708999685731347,0.16583344570245856,0.14455947814466472,0.13868993542839989,0.14157193151587344,0.15270715948017796,0.15161967348497576,0.13965017653266124,0.13909066903503364,0.13856028956562047,0.1519255192625973,0.15713543553940024,0.14222739604318632,0.17020190221366338,0.14914040509267382,0.14071074467210984,0.1575919840023922,0.15704265980482154,0.1495041424755065,0.15742273803738188,0.14924884886140546,0.1361524154891883,0.18959061814799635,0.15729344551068308,0.1427783364437822,0.15259106471052059,0.1398930605172781,0.1431392748880287,0.13512232856370332,0.14141931135482042,0.14431694230032002,0.14112814916554178,0.14862502856898047,0.1431614254123911,0.14279170168502833,0.16341290859350222,0.1432986932410274,0.14522126054289244,0.14296777659450358,0.13961025932495494,0.1413879703500831,0.13694151634805543,0.14113101779589723,0.1569454339278308,0.14141887081368468,0.14047348658615083,0.19004257947923545,0.16905699738918786,0.13803677121273153,0.14133660002466578,0.14117846229875025
+245,0.3001302878121909,0.12601848266978846,0.33996065153237126,0.15221165906175058,0.29394441818161343,0.13847938192862064,0.3006648622612389,0.1735785376829334,0.17098313009626048,0.21551716229254697,0.21772847668158185,0.12336265516157618,0.292219256966953,0.2180594664275478,0.18101346332820314,0.312663709412838,0.1534717617127037,0.20089053655257474,0.23148319694201563,0.20421125057673967,0.23893497466908897,0.2431333478139038,0.21176928761431546,0.17260873891594922,0.31076150487190063,0.32709981225573576,0.24754472762851165,0.2619557196480701,0.10261164539144124,0.12674137856707052,0.11958436259081107,0.2366348399270484,0.14824336049620782,0.19647690851763652,0.16966438793400299,0.12010393327337004,0.12620160554481055,0.15835046632329075,0.26974474823311406,0.1237462155668323,0.2010568253497489,0.22667005424533798,0.1363497995542677,0.2792511129130557,0.22897740470188627,0.1223128515369183,0.13223948877853917,0.1419082766983509,0.13098889944183562,0.20364842280748421,0.24289907684229267,0.324781578434103,0.28108486965907625,0.25907335514884244,0.1282353990307808,0.28070349334961403,0.152307037155952,0.13530611131364248,0.16017949735411863,0.1620719649086998,0.1537801203041086,0.18784929297324698,0.2257137032636804,0.18905462038298532,0.12677101531203114,0.14926371208196232,0.2362658600713027,0.10676521413956672,2.634178031930877e-09,0.2003883540732154,0.17632509999919213,0.0875711985588389,0.12960506192262078,0.19133662678078844,0.22682808512394984,0.16878374204846958,0.11438243405056644,0.15149547073166642,0.10544447743090392,0.1963149097772959,0.23362913004806407,0.2243860287926143,0.17382551943498303,0.17782940274119596,0.19038994398529724,0.1924896280907747,0.12839321411636803,0.13132223161944725,0.29532094877650034,0.12644699702630283,0.12950446973613766,0.253711082424196,0.21464111997480226,0.18075505526914784,0.19969071774500222,0.1573577947423065,0.13489394057933443,0.15584274337987128,0.15192176230647897,0.17772514506803602,0.13461591092269767,0.18172383328920433,0.1913042537132161,0.12625337610058054,0.13075440744240643,0.14430546641193487,0.15934488997770008,0.14798843811296472,0.17357867597671525,0.15988546890556565,0.18868010042485406,0.1615987191270306,0.14346609250038614,0.10265849781419062,0.13017450438048853,0.23237616815371323,0.17702279314187147,0.1512237462111814,0.1785154402969831,0.1435293846289863,0.175335266679692,0.2304091401727793,0.26086623380716695,0.2546369510962084,0.21603739118086204,0.2794943456465681,0.15133315850024753,0.17300637661802853,0.1472726086390693,0.1536042182144703,0.16525653247298644,0.13318561221300254,0.24556106425819726,0.17205544670923664,0.1714865205718651,0.1689573986884723,0.2902311536931247,0.18516214714773055,0.1299951937702273,0.1675461372359555,0.13793832165997863,0.12527378054068183,0.2226878347434454,0.12763245631168377,0.13309147219023396,0.17967560546554637,0.13234775741001273,0.12375976134750694,0.12507797115344452,0.1266925702044481,0.15478986423706895,0.1371212004187555,0.16405474678289084,0.28018028811063234,0.16536184683783337,0.2233491123098352,0.17712484535377396,0.19294394766800443,0.11179828424225162,0.2004079691936758,0.13824868052691486,0.1224815046995605,0.09917093295102535,0.10694671918467427,0.1900964558475061,0.19096335954396354,0.20914781254990072,0.166964877311727,0.13597051428991316,0.12395309146304077,0.1491560293552704,0.13049787635116744,0.1335467804680979,0.16909046916375428,0.1475431110574271,0.12519146134605455,0.13107129903980774,0.15065868263669746,0.18974572152190933,0.12478780600346724,0.17376204396615677,0.14069160076356885,0.13366098297001777,0.1689975775388518,0.1722944617104651,0.11432317584721054,0.22604791344975889,0.11745443150794849,0.2140837702701315,0.1818422121712921,0.1978039171417604,0.13990263703800435,0.16153846838044736,0.1754625345204688,0.13185062425010544,0.15022647404040562,0.1280191946330423,0.12474504686984754,0.12354750818121521,0.14589044336130763,0.13588501071749876,0.12245820189737254,0.12563300136351124,0.13037156703813915,0.14033105969305348,0.14656264600778005,0.12795348474753854,0.16100971345698392,0.13858386629560854,0.12257853058009842,0.14524569590497555,0.12434106270736382,0.13393560605236732,0.15054297698668734,0.13127185050581883,0.12539216714262438,0.18225005557268392,0.14233130724969167,0.12423735872324858,0.12314401556393055,0.1242555233115599,0.12494317232800145,0.11988618143655004,0.123540642191016,0.12689820258064316,0.12290276851543887,0.13197010020704936,0.12471163339904276,0.12721539962212358,0.14866345029622002,0.12610566562570602,0.12847720814596608,0.1313273949420125,0.12441902093841245,0.12387369429772171,0.12499686683249427,0.12248238693728751,0.14050669484278155,0.12252917623587378,0.1226985781799208,0.19520659862289771,0.15405288822639351,0.12262946922156609,0.12526408310481862,0.12312248104878538
+108,0.3438761480680684,0.20310227945710851,0.32592213218194294,0.2019407618110263,0.2682044120267486,0.18754941466121958,0.31000303166866333,0.20642453950177717,0.1980838278713491,0.2387261591118175,0.26114464454382535,0.22401028176428017,0.3154807989982097,0.2640352392205777,0.24749691279383268,0.3374587797654833,0.21600764224574592,0.24617425296491974,0.28421126240416006,0.24856813762128294,0.20117610042113693,0.27115505776962534,0.25670971201135595,0.2049303789261435,0.2975534699732108,0.332794516084582,0.2321739427010191,0.24980711403706946,0.20212468246780974,0.22549105722073615,0.23113372287302394,0.2594529445483118,0.22709454494310263,0.24723121377998106,0.2590640299258081,0.22151768072904193,0.22803533313649427,0.1301002701923181,0.2829156927551524,0.2009748037409267,0.2492760345231409,0.21723213786172899,0.2085074920741816,0.32501359392666096,0.2211631683382545,0.23007683010074378,0.2335087853587811,0.24061042989707496,0.23492133242093097,0.2454503708297119,0.2952353061943746,0.363503758105373,0.3275889499468422,0.3186663465210761,0.2313510737862916,0.32634526355790594,0.22911598964370247,0.23911894660151298,0.1788965463490489,0.24197352277830655,0.23560766306288297,0.25300102997043106,0.21331998810446712,0.2400451681867475,0.217173432968702,0.21951694526032633,0.17093616064353545,0.19065520860678958,0.2003883540732154,0.0,0.24123601166528216,0.1928943187056107,0.23474629975172015,0.27051314859152675,0.25621189108893266,0.23665147380982215,0.23714870018098935,0.1339201514831508,0.2174947378232208,0.25409660558291886,0.24335756429610217,0.28841091278333875,0.25653453677571886,0.25749967858812023,0.26367603392544026,0.2682865338191549,0.23473452117613514,0.2274729617115271,0.2792732450738656,0.23126304332990744,0.22115557489821136,0.30058110401165117,0.2632711547416642,0.2511459389436181,0.24928259840808803,0.2182457570927761,0.21227834142228275,0.2125214260072515,0.20325969389952692,0.24398447124921735,0.22390771842736062,0.2202921751228172,0.21035455058522587,0.21266137410159475,0.2258474525314744,0.21757859916610528,0.24927266027987113,0.24257912211499028,0.25724009456748514,0.22364765675309292,0.24753743697815186,0.18841253569663816,0.23429264394453492,0.21113900282394713,0.21685690477768635,0.29689336281812834,0.2561822199032244,0.22436348897492142,0.2031282507188485,0.20031929195989104,0.24093663530457946,0.28924192211661387,0.3125303150084574,0.311645007749412,0.2725218851791475,0.32815121561504607,0.24050331588445223,0.26096751049669753,0.2247254354267779,0.23849207446674825,0.24655971372453436,0.2271340655343197,0.29773817851454054,0.23210742149314717,0.19042391569824768,0.2549316085636824,0.33818115719672154,0.24835971001538254,0.23483089049985065,0.250238386269029,0.22713443541836828,0.23246052777326698,0.2877510847696082,0.23117302522059574,0.22641953955878819,0.25594110917661494,0.23530593990063434,0.2305025682157439,0.23279573800169565,0.22483605800430548,0.2335769087135176,0.23213043245639922,0.22978768152819407,0.283485847018319,0.19447258083355168,0.18848113246477158,0.2539032249373913,0.20489365290889816,0.21401466710804437,0.26599548697100395,0.2076169343711809,0.2294792340076278,0.2206223675014961,0.22699575430046356,0.26345517056171835,0.26397047224492765,0.2804765548590903,0.24884688659070067,0.23287875851311643,0.2322501041137486,0.24614981880163983,0.22466807168756003,0.2041277478610419,0.22654201349862604,0.2373404613769684,0.23384919207985236,0.21152780726197076,0.21484208830650325,0.2534119211925112,0.2245777149852822,0.2474918984785796,0.22333858302315016,0.23044829132656447,0.24409893874127572,0.2305372101288969,0.2016680152392268,0.26169111342116597,0.2326182230143743,0.268889323592199,0.24919388502901577,0.2623084765049488,0.2290926000793882,0.2330577692237715,0.24996267111142667,0.23673662430823075,0.24762496865288353,0.23471942269165086,0.2262474494593858,0.23321544375746744,0.2252236613412516,0.23687583534803086,0.22978656659569785,0.22740422592618761,0.2148593495819987,0.22494271332510815,0.18732761125602618,0.22719374757630514,0.2389095618981175,0.2212925220848478,0.23221645035742636,0.23492215298682953,0.24173261491746217,0.23362302454061581,0.23914147721931098,0.23717637873624287,0.22017423676170164,0.19694550892496357,0.24120884102565188,0.23324302202595612,0.2401351602684353,0.23230462434250168,0.23140562902937908,0.2267084048498165,0.2324952253583131,0.23291240676661298,0.23108677501115749,0.23413325901521395,0.23368652991877298,0.23485395985524898,0.24543691383338714,0.2315116382783569,0.23544873709705058,0.2335221391703441,0.22358260406828198,0.23218927237799278,0.23289587341787782,0.23250095869077855,0.2407609770963818,0.23238136899755496,0.23249881626995117,0.2477106220174909,0.24077726287232065,0.232224340857197,0.23353718936479534,0.23148186986417918
+121,0.3077209323032815,0.1533455284446282,0.32859433884376643,0.19498056977272124,0.28611989185712133,0.1536067219439606,0.22160993031350354,0.20680876127088302,0.19219725582149552,0.1612363183141016,0.2173635919821796,0.15330148519084974,0.29396013235999185,0.22951795530493432,0.20685627634316336,0.3145465157147807,0.2021683738071298,0.21251255260795898,0.24005934831930356,0.21138078269084012,0.20398355632422216,0.2430338365446817,0.2006906205096475,0.2039947501659723,0.30058505723029044,0.28108660876413055,0.23575857734028857,0.255447667026137,0.14741839546737362,0.12348692993777391,0.14834466230762086,0.23171593247543362,0.16381339367795197,0.14333201291662342,0.19494771170230016,0.15077131656288034,0.1566513426071468,0.2052974697558348,0.23793383313851993,0.15618327513090116,0.21658008533801718,0.23193958514801863,0.16080689812753055,0.2900255610000357,0.23576114126907127,0.15701894621122928,0.1628816660764316,0.1729051242187999,0.1600683476642841,0.21283493695557043,0.25162476642222453,0.33186736880523854,0.28989022176370416,0.2785283802061611,0.16042285606788206,0.2663435068061342,0.17442920041329993,0.1656049022209043,0.19811310246384684,0.11212565092117603,0.17528342479008976,0.20441913763274405,0.23383092497207286,0.2011941532799754,0.14929565058133484,0.1632302926577442,0.2697037077560038,0.1815979730530341,0.17632509999919213,0.24123601166528216,2.634178031930877e-09,0.18373609468224192,0.14619279053860154,0.21412803046106896,0.1905355143609481,0.188321901147465,0.1625399409478783,0.18801922390515696,0.1606202790645757,0.2157376071764834,0.23066044884166242,0.2412983056581162,0.19673373086432014,0.2069006111688533,0.2096618064786414,0.2113317537247599,0.16083759641498344,0.162225815565483,0.3057659943625179,0.15849967951562274,0.15976392411510199,0.2581293616419837,0.22246504430307004,0.20227935166524147,0.21082768279244196,0.16530611475770418,0.15844988100680207,0.17895646999869555,0.17026132923020745,0.19984050614599008,0.1559813524289053,0.19321035808319678,0.2117804769144926,0.14642854340955497,0.16829144925789066,0.17317200401581398,0.18570082888173517,0.16793496459632212,0.19253946918629156,0.18092132790116422,0.19599128177371108,0.17658669848175884,0.16111217115838133,0.15570517048784982,0.12001865960280582,0.2561716998820722,0.19907919190895426,0.17546231137425639,0.1845056634281979,0.16870210350601622,0.16687594556733365,0.24134205337333284,0.26879891443107556,0.2656613065741925,0.2233735890646173,0.26647143788821764,0.172334658425074,0.20355785750502595,0.1698628878262768,0.17177179011619195,0.18828191227961633,0.15951099452942252,0.2619799437517849,0.18612107513785553,0.1894246450035072,0.15825594924692443,0.2982409895958656,0.19623790552432419,0.16074091112005823,0.1494452503265723,0.1578312526683653,0.1572626273870448,0.23761397707772805,0.1576825514744971,0.1500700538385947,0.19891348711926132,0.16300494074492464,0.15615064448602808,0.15646595581182016,0.15828788597942342,0.17967705116905425,0.16244867824684,0.18053618119849585,0.28079637085950726,0.17530653988402253,0.23254734590790854,0.19962447691296856,0.2105634951912808,0.13384705670988503,0.2150724044400044,0.16472823771708195,0.15535782619157334,0.158116093971189,0.15952315973793452,0.21430762342631254,0.2135868047610058,0.23952784853430548,0.19487834144466654,0.16862964351794663,0.15674716889212872,0.17706022820540568,0.14639602285821932,0.16379322296450993,0.17912789490804712,0.1442548056169595,0.15819891095472502,0.15547304086091024,0.1727043985880071,0.11070047707224241,0.14899403407231035,0.18484755927900645,0.16566404128655188,0.16347617713267917,0.18757105499677598,0.1622973416419619,0.14666644687968716,0.1749561382551642,0.16280951734756993,0.23047622606230886,0.1980294747059053,0.1413797744743964,0.16337782202492254,0.18347376925893635,0.1881708622433503,0.16261246323289455,0.17898863302715684,0.15909927127543327,0.1506982226845361,0.15736305355528157,0.16679854762913873,0.1660432162882992,0.15471705696285493,0.1573151039540316,0.15730112148986145,0.1554209906464052,0.1624038569383071,0.15073873712574554,0.18279521709788504,0.1596823079737618,0.15522641896433928,0.1712920907159284,0.16995502336786533,0.16200291993616758,0.1725631630997551,0.16390994271790135,0.15119044268720913,0.20266030710951885,0.13799723484016915,0.15689892211643874,0.16846132106764197,0.15641902714583986,0.1515052062647649,0.15256139173205202,0.15013199724579224,0.15771072482068593,0.15502180963274376,0.15588448455759654,0.15733021243324094,0.15967025177481764,0.1710636063124461,0.14862031603094272,0.15987509570737243,0.16288575998989488,0.15653365935787997,0.15626056170568958,0.1584429828309448,0.15562103370829075,0.1384721182160229,0.15567191255260843,0.15564662371953658,0.20974492187309152,0.1798544683109486,0.15471126938762228,0.15718917764936374,0.1556423750353299
+84,0.3021536976552144,0.1356882141176705,0.333654786923951,0.1404192154096608,0.28827862146140043,0.14222532447707675,0.29439177839294856,0.16944775083677613,0.1790214640007845,0.2202388689887446,0.22767556753047566,0.1419227563943628,0.2866357840067995,0.21978504068019458,0.18391024398784964,0.3079889827903957,0.15992203350189935,0.20272251673845598,0.23239117859029923,0.20315464137251188,0.2397056562318797,0.23839835625774883,0.22135074536533564,0.15902280544294983,0.2930739719134951,0.32968052858890107,0.23314205048669062,0.2492731629048038,0.1182770410616907,0.14493225301116375,0.13633626769845641,0.22511385314817814,0.151380204435647,0.20442399864105798,0.18361868781989962,0.1364672048783566,0.1435714103490631,0.14923264476208295,0.275339204130403,0.12379354789239512,0.18939974516485097,0.21189752520323238,0.13849601481648166,0.2830404375749746,0.2174758365130247,0.13821952733999585,0.1502001901443088,0.15215825209314096,0.14564435107261614,0.20131187000606637,0.24317771101683258,0.32510347111209187,0.2844318937123404,0.2654694602655856,0.1463947626650029,0.2823750961867315,0.15988297050766392,0.15303551260385231,0.1461455538469091,0.17166333646546456,0.15815134888584834,0.19624695873964842,0.22367039559701626,0.18960501386731976,0.13506784622653156,0.1481635225305373,0.215976768116091,0.10901424689203246,0.0875711985588389,0.1928943187056107,0.18373609468224192,4.562530187486071e-09,0.14733843790915233,0.20249284799920744,0.22228333262275543,0.16814624864063887,0.13537246979860976,0.1570267844774017,0.11795107095843065,0.19755075111930287,0.21951257966591095,0.23367283470640807,0.183899501427882,0.18275906166849468,0.19984990175698605,0.1985189533978397,0.14455504723705428,0.14777017164574874,0.2975192579205914,0.14617730976145718,0.14131195054211423,0.253379366904315,0.22178196455988508,0.18841622522267007,0.19836335978039465,0.14814147008437795,0.14255295349941954,0.16412989394738425,0.1534206162575306,0.17528224258576464,0.1454917225356911,0.18506570186770918,0.20090416438405956,0.13842333948703667,0.14041490484768912,0.15512601826477612,0.16578124980086342,0.16107706772524544,0.1820173047691597,0.1652875199464213,0.18385714435448872,0.16524252461890337,0.1550986817822732,0.11935848670395365,0.14284445214516678,0.2405582009635461,0.18764627276354723,0.16298543465044837,0.17003521954410944,0.15466840758962877,0.17361038769814038,0.23608120973964183,0.26382343051458895,0.25891002443925454,0.2198104681356041,0.2829058575237219,0.16361065580899967,0.18137208616144843,0.15791148988522613,0.1663981054533646,0.17435186942305692,0.14274600762894935,0.24066856380092436,0.16779736730913866,0.17960820637418137,0.17983537073426797,0.29325254117210864,0.18855635772753915,0.1441900528267565,0.1754884468672175,0.15050892594099213,0.1440911186183475,0.22772160810199132,0.1417612178164373,0.13973556967864947,0.18730971851893044,0.1489789869302035,0.14167854999622795,0.14343362346742028,0.1405009851354714,0.16244091321933135,0.1505257596230795,0.17347916636365915,0.2695960481707436,0.16979253896842883,0.2210176446870351,0.1826569134561317,0.19680581711081857,0.1280763859760784,0.20533597780503057,0.1470920942001492,0.13770185698903814,0.11610393295113404,0.12381239543728753,0.20211361903838929,0.20267171749917193,0.22119189791779018,0.1809921612886605,0.15442122333299615,0.1428212223629746,0.16315562999150682,0.1397546671287451,0.143150369642689,0.17185556361255308,0.15494065829710543,0.14478735810985957,0.13639212086829594,0.1626377622610939,0.19925741137908506,0.14150393821719862,0.18239677495850767,0.153860195554822,0.14797110637389493,0.17849479731713178,0.17646010848150676,0.1274461222059089,0.22357715001736417,0.13167875297005113,0.211854370063274,0.1903349766060009,0.2078747808230637,0.1541973671449618,0.17097438607208806,0.18369709456756778,0.14960365724566546,0.1663013394576652,0.1453466715376976,0.1413890233364413,0.14249566634764252,0.1563027282532969,0.15005762407058895,0.14089809350634774,0.13698645057805656,0.1459218452635445,0.15082929714466742,0.15047479473951605,0.14377152846435265,0.16879119574602403,0.14171690358099295,0.14234252597386782,0.15867390661506395,0.1437502746857669,0.15133463813829978,0.1673019982775087,0.15019217330715381,0.13850131274856245,0.18941880448213477,0.15652452242645784,0.14358442081638143,0.14165282040314137,0.14264564810263256,0.1437841417522188,0.13776717403758923,0.14313426592366452,0.144990262377857,0.1416788271707658,0.1486343201790664,0.14421912242441512,0.14603989731794573,0.1616704917694305,0.1428502020301593,0.14551371051349518,0.14883887197804818,0.14145281908152874,0.1427707552677809,0.1438293532549954,0.1422791681927556,0.15800180679246437,0.1423351923795185,0.1423126413915652,0.1998834825331657,0.16561603273934505,0.14194634882703377,0.14384544287242826,0.142750096699141
+142,0.28699577855168684,0.11829820597072999,0.37570903725093674,0.18437509171794986,0.3150360848975594,0.11438820492234626,0.2998065797586137,0.19098784560760643,0.1575676318822962,0.22258438753370885,0.2221993286247592,0.06134856527505685,0.28958095224440233,0.20305439404413728,0.1824803662894832,0.3053589336255939,0.16539158240442506,0.20459597558998008,0.21307990895290643,0.19430088981258614,0.24630699520652533,0.2416861979149402,0.20196800821732144,0.19392766424995664,0.3255051900443169,0.3479027170190432,0.2554464523775539,0.2712189563092956,0.08357419978617399,0.07434397367954672,0.07504151516088195,0.23007099973878223,0.10244799842145665,0.1947429315267245,0.12738901482827106,0.055006438037456036,0.05451517358639465,0.18617462345982555,0.27169766328822276,0.10787430760060324,0.19466516895021704,0.22901461266146275,0.12797448095922276,0.26498001092312506,0.24107078437154544,0.05515022165967862,0.06680830539009722,0.09966039671442031,0.06330460737356507,0.19541482658222128,0.2262363476483313,0.31242342066639456,0.26530478500140275,0.2478896749037293,0.0631809565202381,0.2570095476467244,0.11783435700499467,0.07200516021666513,0.20600097236018775,0.11669991772588426,0.12075050880524187,0.15666290710358236,0.20880402224376696,0.16802023062479543,0.07305092072937157,0.11649937669496335,0.2783370798109663,0.1471629134800537,0.12960506192262078,0.23474629975172015,0.14619279053860154,0.14733843790915233,0.0,0.1610590363616217,0.23007945191506918,0.1484161714425143,0.06392651776823213,0.1712682345118148,0.09997483867512871,0.17194225835693944,0.23838173404459953,0.19779880469279595,0.13304225269370315,0.15904441124664143,0.15668892738054266,0.16143873045494164,0.06043161344449969,0.07724799008403525,0.29505997208405293,0.05466741553601896,0.08615696072696198,0.23615527658032623,0.20714441883610482,0.15794304457499792,0.17971669302963902,0.1338032299652803,0.11613378484399259,0.12198365734905825,0.12946113004973497,0.16652722955532356,0.07881880977463875,0.15783111061843855,0.1739521762898009,0.059833226999856645,0.10334991303673374,0.11101302722067731,0.11997577781511368,0.09714765051900048,0.1318220850592471,0.12800963429719067,0.16441042081619556,0.1299685990265321,0.09358576703671309,0.10164849059215067,0.10890561383980812,0.21591109894467875,0.13760929215225315,0.10863910773191521,0.17532891535492864,0.10455199951458417,0.16007495866004198,0.20621252225179898,0.24129174739780693,0.233916635144724,0.1937435563567457,0.25524003148828633,0.1115361095433269,0.15173967261738078,0.0974660165713619,0.11339796153992479,0.12583968680248572,0.07715434973418552,0.23479451838322377,0.14125441674574418,0.14064320935808272,0.11267894598118379,0.2737894738318456,0.15717880713184587,0.06249358287900718,0.11101875315141109,0.11531973898002792,0.05162561023044079,0.19760034865169518,0.05465238888106766,0.07168184366046003,0.1431606581179159,0.06856175502828463,0.0507600881596158,0.05135836963129753,0.06848296887175423,0.1175473794082765,0.09014044476565272,0.1244098794567434,0.28246660246273725,0.13358904722659948,0.2130654495005461,0.14486999633762906,0.1847466533042238,0.06363422640073813,0.17007282416384986,0.08690078697057173,0.052312582741033724,0.07021639883133794,0.0686010052849066,0.1634989125689699,0.16448493819234655,0.196865044625109,0.1348139159106592,0.0958942843697833,0.04924922792722596,0.097131508766904,0.07934037462238443,0.09984883984395311,0.1291447494441521,0.10252199178718581,0.05203771524378217,0.09976512312624419,0.11165794979289852,0.1656909328605787,0.05565071456835584,0.1373780725586052,0.0878795219122684,0.07486690569753407,0.13079745656409217,0.15062249255744656,0.06814326708595518,0.2238722086565251,0.07674966366056933,0.2153780106400055,0.1493242548344832,0.1795051739727741,0.07873072955726511,0.12643711883930944,0.14039632875691369,0.06536671719876941,0.10008812583630737,0.05776404378865177,0.054836056199269935,0.049495606318505206,0.11031471358791659,0.07638480381799315,0.05052264983168415,0.0738714288482165,0.07091607666889878,0.07814750090978767,0.10949784164798926,0.05170914233425296,0.12335756689544575,0.11239479847812041,0.04316058211668636,0.09632200704434195,0.08172606281932852,0.06904089297719705,0.10556529756414258,0.0688724916594702,0.0707196369079758,0.1645249863163974,0.07863313744202496,0.04762775874430433,0.08037255436651848,0.04899090209034743,0.030861047370600508,0.046056600062265515,0.04541553772285494,0.05435243704984407,0.0452036216720988,0.06633972903981912,0.049067642906588264,0.05731948977506121,0.09178978477449623,0.04338880044171364,0.06034704840502358,0.06715242166173963,0.06448898526768684,0.047740155622834984,0.05589124621833172,0.04308124877936923,0.06650791464796252,0.0432996709120033,0.04385342666829235,0.17614848744896708,0.10702382796787244,0.044679510384286754,0.05057468006150185,0.04507205604168612
+103,0.1997137353069066,0.1818221105615727,0.3546885755595784,0.2301699961444586,0.3250973940911313,0.17942386647928577,0.3339403372767813,0.22791862145322844,0.20419010790173164,0.2516064502745776,0.26184336384222995,0.1583002613363085,0.316221845348486,0.23912132985164125,0.22617209181123493,0.33124727365280254,0.21740995510003758,0.24677180981669547,0.252089818616498,0.23862777493228848,0.2771661294444358,0.2790279797617585,0.2515183279973634,0.23007415298487843,0.32938936499477844,0.3719609953721729,0.2844844771825665,0.29498118819363545,0.16616310642245125,0.1661792052556008,0.16211967792913323,0.270788195648506,0.17945806728349306,0.23834918603896682,0.17938606412756844,0.15463259355542217,0.15637955105676274,0.2334691112126539,0.30619548921250483,0.17315159801838426,0.2418143273373441,0.26457977271381666,0.1927057764324105,0.29969772502434927,0.2581011990548207,0.15257608047022714,0.13281566955884602,0.17791172608728834,0.15517327974830514,0.23895081185895817,0.2552419301982344,0.3408503050600103,0.3024602296524921,0.2829627670349211,0.1551708684330989,0.18834138297093683,0.16609300185295475,0.16558288795741444,0.24743069287429734,0.19178076241645425,0.1720002288299227,0.2151760468250373,0.24608888825691605,0.21915882068734502,0.16277624893210935,0.18211484392261265,0.30874788032889133,0.20248190613891442,0.19133662678078844,0.27051314859152675,0.21412803046106896,0.20249284799920744,0.1610590363616217,0.0,0.2704020030334953,0.19225306844859402,0.15998754580080637,0.218232416009905,0.17451517831552932,0.21321604876494027,0.2670576681551546,0.24617538311760861,0.19828196684073524,0.212365972617874,0.21449992518903743,0.2133233499895004,0.15538346031446537,0.1532885772061791,0.32343838433846367,0.14875164959538317,0.16641528332638397,0.2750913145794602,0.25268161284740925,0.21012049385780524,0.22099363943187814,0.18858001433675114,0.1862786845883285,0.18720510052356143,0.17742674781293263,0.18724454816370853,0.16549981957471246,0.16913323268034347,0.22493126850819564,0.15939123076982112,0.16293768508216425,0.18025130540926385,0.1860706018297035,0.16861942112468706,0.19125490879260737,0.18535712268184518,0.19183480383056806,0.1921525418254842,0.1715378376265062,0.17063490664238531,0.18247506501859923,0.26053268216017694,0.20064645659512742,0.17906257726630487,0.22217721981763602,0.17344699620070067,0.2086557757295903,0.16392833344225768,0.18660962584559804,0.15192725014179653,0.17416803414255472,0.18949085640943095,0.17771904734801783,0.2033603102340396,0.17568366528255516,0.16215159609910346,0.18976262578844363,0.1616306905866734,0.27127794126382354,0.19758855790547553,0.19886557400405375,0.13113815283284985,0.19041895209318135,0.1596060809736686,0.16041091308965538,0.1900859730143003,0.18319920656847807,0.156552671232358,0.12145706396428546,0.1583601521753393,0.1628755713932678,0.19519093480678784,0.15827966866909596,0.1533903838653555,0.15634409629223253,0.15952475561527932,0.17040446078662616,0.1694789411311952,0.19453376388579452,0.30783879286824695,0.19065186143782376,0.25644057927168007,0.20538417417918053,0.22857916258481276,0.14923062826771955,0.21591307538844628,0.1656910813502919,0.15739757192340575,0.16231412181253746,0.15843794782090576,0.2213288478301436,0.22087888125560998,0.24452425863984378,0.18765311748594166,0.16436830093974653,0.15338871946724572,0.1184127549193968,0.16678403007826287,0.17145539307640892,0.19514304423950657,0.17496286751877105,0.13601382716008584,0.1710259488387487,0.17791552408375888,0.22297809480239836,0.1571898451718398,0.20293842903743012,0.1695068721122921,0.16571513310720573,0.19600368802454426,0.20489255939683945,0.15799375325054646,0.2641329225093495,0.15389878789259287,0.2549663274668203,0.19890419567822648,0.23330213971232955,0.16182396981039812,0.19343385362215357,0.20317161392183739,0.16019002110267516,0.12856954554599218,0.15788854095129384,0.1519286328293,0.15598210966678402,0.17720007369223678,0.16322410351541686,0.1494234128790838,0.163213487732271,0.16240384744454103,0.16849070795623808,0.1858567476308681,0.15927903524163597,0.18396987221596978,0.1750768337158342,0.15600074731593677,0.16650412928493846,0.14149625647345188,0.15872301265708866,0.1828380495774728,0.15001752492342238,0.16190014750243442,0.21176303433373095,0.17139077480274842,0.15712770066542042,0.163187122154089,0.1544288898272573,0.1584448581028528,0.15595329585454162,0.156311856935275,0.15841835478322017,0.15328356570613852,0.16464450021472052,0.1552772719829283,0.15996257289895252,0.15209213302107327,0.15608283870187317,0.16126035899412974,0.15927775772142422,0.15505680511068823,0.15425609442203755,0.15894584073603588,0.15601615121168516,0.17013763150998948,0.1539036645934588,0.15607134346217033,0.22632100108479244,0.17900982915701075,0.15553735707301977,0.1544481515497708,0.15206805541571636
+44,0.3457947803795798,0.2087639136306409,0.32722348710510674,0.21599499925315213,0.2578869984329913,0.20651085440000008,0.1647048176826881,0.22133983565105753,0.21288536943315123,0.17390006555534246,0.23409742832839325,0.2214759777669482,0.2859862677552191,0.2364688552563816,0.2245463587183241,0.30979198035795363,0.2246499504200871,0.2121686587168924,0.26204355136624746,0.20278582675217055,0.21284940218784804,0.23393080625525017,0.20757658802805187,0.19278862409405761,0.2833915898796735,0.2657615715977803,0.2014092431550103,0.22245617618158875,0.21576922776556695,0.202096820048478,0.21452528836230156,0.25180035368050896,0.21052623463564635,0.17198242089396346,0.25611413270289257,0.21505890682874665,0.23023196390168288,0.24304149024916888,0.2541000799573971,0.2087960936807308,0.22657673131911193,0.2419552555458251,0.2117057549876148,0.3225030867543361,0.20543238068204123,0.2242771182281489,0.23454389842504184,0.2314981111284751,0.23069373343025787,0.23406016098354712,0.28183451151832695,0.3588644084522957,0.3244918506571233,0.3173832691042242,0.2274884225189345,0.32666347903917786,0.2120021479576456,0.23461577001651807,0.20853212883530678,0.18880527769984295,0.22664881553134708,0.24836265963195808,0.24156020929303554,0.20105298768371627,0.20607288082854291,0.19278703116530457,0.2744053515380096,0.22267382924981505,0.22682808512394986,0.25621189108893266,0.1905355143609481,0.22228333262275543,0.23007945191506918,0.2704020030334953,0.0,0.20787209933521472,0.23443801741407116,0.21790397553027244,0.20912843719314173,0.24525806524583127,0.19494187839971308,0.28664121599383635,0.25007620391183444,0.25354211006072214,0.26143504410140156,0.262508874123835,0.22885748629170657,0.22280085918860537,0.27688546251653345,0.23029140929557324,0.20424415277292993,0.2725009256935747,0.2327126923318966,0.22828736217844595,0.21998489491998557,0.19536122292917216,0.22312465879253746,0.22735549388662651,0.20317079279095687,0.22589814711287595,0.22231718451792024,0.2426406388821949,0.2142406793351957,0.21994308416739006,0.21434040901386683,0.22528276169368236,0.23939154526492076,0.23382717050913734,0.25185536996539065,0.21580841736925518,0.21263230584451764,0.2182113137416443,0.23200399489648793,0.21756348297238812,0.19645693095534786,0.29941067405384725,0.2510486608791306,0.2308275284627803,0.18422915783239538,0.2073295152804104,0.16347993902606794,0.296106963282469,0.3166676166666298,0.31349043003368793,0.274671046506186,0.3316717275417848,0.23368371055260473,0.2502452977364903,0.2215587581431644,0.2248351918987489,0.23390961589792783,0.22122933607929024,0.2842388415729394,0.213474806277881,0.2348658902045241,0.2519483561771743,0.3404956249467766,0.24665863485701892,0.22881852456261528,0.23730605063694188,0.19416909353616904,0.22978165995531757,0.2844956537731458,0.22556317690832972,0.21644557661071576,0.24834410534898957,0.23254514237025736,0.2278793735634571,0.22884603331195025,0.22152921062452194,0.22810204728606384,0.2229243789347597,0.21903054041209824,0.2534460320478094,0.2046511647306256,0.239018929615496,0.2418188926694069,0.19803133009281085,0.21113814063326863,0.25307030023180416,0.2231692257652103,0.2273746856082569,0.2200007519678657,0.21969283655650737,0.2424150030599367,0.24286174012993852,0.25759116378621283,0.23313125808317642,0.22083698348550304,0.22962338618427441,0.24294972416084826,0.20190437737786215,0.2134902983731115,0.2154880154744032,0.18796393626071403,0.23123070709086896,0.21704171582619985,0.2184536532408713,0.1876984835359495,0.22103743184699434,0.2073156673950443,0.22004911571840238,0.2256822914153657,0.21740427016258193,0.18648788741012237,0.21099176844361683,0.14330278698781695,0.22333178955769295,0.22951574952078618,0.2276558716838063,0.1867207237031074,0.2351760515223621,0.21273333984436965,0.21266584183695852,0.2327629035435052,0.24432842841886349,0.2307792925212016,0.22347918263540648,0.23008613183508564,0.2078385119623214,0.229826959058051,0.22431994797028176,0.21374855772148646,0.21841176965634332,0.21490915714115272,0.21974431991224155,0.22880151591115866,0.22121080711047827,0.18473509152163534,0.22944270578368653,0.22610855113065664,0.2394844843526662,0.22974070030175126,0.22054485873164076,0.23430215525465525,0.20503618725146702,0.2161667715873826,0.2378961234658453,0.2303975867477193,0.23605646605079242,0.22790899709535925,0.2303786154427303,0.2232857662031205,0.22937252389560522,0.2301558889514524,0.22888479902357634,0.22077838002713196,0.23098989156828031,0.2305076984919409,0.24018864195009196,0.22994454307985707,0.2305028688964995,0.23114707331093112,0.220927025255185,0.2275476353796165,0.22941042455583663,0.22977176757966672,0.2388618974131674,0.2298805988683529,0.2292622749241041,0.22100179723473512,0.2401938512787535,0.22789154243902637,0.23005362225288697,0.22987366667034995
+240,0.291477369065764,0.15864272636490226,0.35203103931943247,0.19100177598463763,0.2923199412121578,0.15076420309361382,0.27721319382899645,0.18002867337215817,0.17934922462324332,0.2295251001386774,0.2357620973984914,0.1387886159317297,0.2804247493437582,0.22091132343117154,0.20787976915059433,0.2924442920175674,0.19835471040067193,0.21872306169098066,0.22812401822216363,0.1878429185684305,0.24317041862604777,0.248186216208055,0.224588472920142,0.17202991265672313,0.3007215062786671,0.34189326699360056,0.22924705457137476,0.2364841461531793,0.14941729454086708,0.15003627856629462,0.13724456050555683,0.23640930537129798,0.14259287639452378,0.20025459130483217,0.18272940014379513,0.13372507074014992,0.14545723722456025,0.20516492043591886,0.27777757667392944,0.13014791882129995,0.1858234310234142,0.22670607831434492,0.1651200575300175,0.28413613217996025,0.20548546288638833,0.14123983791967493,0.1473474082232488,0.15336117218166287,0.14347982242293478,0.1898886097060407,0.2344467498308403,0.3259405296646209,0.2870934293649116,0.27281738462663974,0.14695073419844348,0.26940723029692965,0.12185581028080748,0.1530867945279487,0.20352849678213344,0.16599162221174266,0.12881821763524845,0.1906137940140617,0.19707239772971627,0.16725326330662094,0.1328522006831545,0.13729498403643667,0.27010641642102007,0.17617134054370923,0.16878374204846958,0.23665147380982215,0.188321901147465,0.16814624864063887,0.1484161714425143,0.19225306844859402,0.20787209933521472,0.0,0.15222734588437603,0.1908553143211512,0.15028672479843502,0.16954846271424107,0.19012435738492153,0.23102950210410664,0.17828267547163865,0.19081108549741488,0.1968567404302602,0.2010666312665119,0.14335457037136276,0.14383543260334372,0.28049902014975886,0.1454702897222526,0.1340232055947629,0.24425931043458,0.22881030723062265,0.19146677254549235,0.1735098230467766,0.13296310961480673,0.15420036055177852,0.16293926478072507,0.1294472731175846,0.15287433788620686,0.14669132975772609,0.18599875206098257,0.18820986932999076,0.14234707561660567,0.13802684221044167,0.15443896981017646,0.16318746233940026,0.16177162370594866,0.17000235887630938,0.1342189622095157,0.15571030364015778,0.16106625214295625,0.1554993754858498,0.1452825480681816,0.16159131166671212,0.24533990957417903,0.18360325677730563,0.15763292287535202,0.15777391734657142,0.1423547873598365,0.16232754733454985,0.2344977884789013,0.2590283687570147,0.2505121603757322,0.21823170346905274,0.27758742285073335,0.16648554330652363,0.18910293237040424,0.1416198046711247,0.16029002894451222,0.16027852428570902,0.13722474457376946,0.23855181972790301,0.14065482943249583,0.17304073131502992,0.169221602871361,0.26924746131212235,0.1502834759044072,0.14416472749773007,0.15604991442329702,0.14879290665250786,0.14221465114864393,0.18289778813769195,0.14201314804197152,0.12941957121731082,0.17308361128270627,0.1486817668118871,0.14318697196190214,0.14328752164442501,0.13844147770415535,0.15555129955746494,0.15746189508423958,0.17063832080088692,0.26022840106304607,0.14680270402384665,0.1974955644245918,0.16101701484432532,0.1687948611009274,0.1386850274766507,0.1867461398604329,0.1467413792290315,0.13950299960357054,0.14096868620517458,0.13727256102798047,0.20817544102646476,0.2071220425228687,0.23194211328815373,0.1827172508124211,0.1574087932260031,0.13995326128776167,0.14513832985861735,0.13861715685278683,0.14451195907760547,0.1568331544755203,0.1456106798429247,0.14418266861855572,0.14870336246579635,0.1493421680066926,0.19936927967692097,0.13781136411359823,0.16662169696795356,0.13796255261048823,0.13526749342683783,0.16039068227819864,0.15764218920216774,0.14145601380929015,0.2121357606921193,0.13995667587864724,0.22322768035052384,0.17694151519657508,0.19993931907782816,0.14160870202624942,0.1546785831696313,0.16886002019484284,0.1478141207451251,0.13524987676250658,0.14642479045047394,0.13638788942223587,0.14248739604605834,0.11206198600505625,0.1467338458882028,0.14064153072433447,0.13120614655464197,0.13959800474349088,0.1341905958404599,0.1550807950308274,0.1434344165673217,0.1554041487584661,0.11178761027248234,0.14462878224170483,0.15599359794432593,0.155676356006412,0.14967826582322288,0.16415877413468744,0.1508620472747795,0.11960142448496858,0.18003481386545367,0.157218883453861,0.14538446996626578,0.15340668840603944,0.1396173724322597,0.1462830416426278,0.1369908019066244,0.1439011229941024,0.14561037961827444,0.14257749885795726,0.1435802050080777,0.14677127977133025,0.14622738815179567,0.12943630918279242,0.14407914616125986,0.14635678500987467,0.14657326736681411,0.13787729996237325,0.14276465981045683,0.14335366879686157,0.14473843269475137,0.1599403487603422,0.14324924015164678,0.1441165026490538,0.1563625851790742,0.15865437629221282,0.14258856878875642,0.1440687378105418,0.14388858550776645
+222,0.2871843244671788,0.12116637278048233,0.37595977925480595,0.18837202641979786,0.31845111536676374,0.12378335450705381,0.30669804803420314,0.19280208817219552,0.16075469861677302,0.22605103726349457,0.2234413325705382,0.06730401888000404,0.28957540719633623,0.2057690739119019,0.1716056408603871,0.3060328223228411,0.15706416974434445,0.20542374256613904,0.21274819196547368,0.1984243315429494,0.25088271754232316,0.243487413232143,0.20659865457704696,0.19607809513771987,0.32798263251792953,0.3499820632925519,0.2593021621722688,0.2726383701433792,0.08611403159299336,0.08369147624665316,0.05584147286543997,0.2329753306673371,0.10632359806839184,0.196739653143078,0.12581975793014316,0.058692584549277164,0.05909052071227071,0.1922023628516255,0.2789985439135797,0.1111421345001912,0.1878382484331698,0.23107155528344164,0.13092494175895963,0.26594878117067555,0.2418874192956392,0.060682960364240056,0.06708043357604894,0.10170535731849355,0.06657408908458513,0.20040475849415787,0.2262104879275044,0.3132464074227885,0.2668821015315898,0.2403038768306855,0.0665502298845872,0.2632522652139209,0.12019928268643623,0.07421020150568482,0.20860872585687196,0.1314274264979757,0.12209541205296666,0.15906223861622332,0.21224923263103276,0.1672231933244071,0.07752581132630183,0.1181244235925313,0.2820048117190436,0.14873612340456577,0.11438243405056644,0.23714870018098935,0.1625399409478783,0.13537246979860973,0.06392651776823213,0.15998754580080637,0.23443801741407116,0.15222734588437603,0.0,0.1743456325170698,0.10235200109126004,0.17325208373502596,0.24155827828110163,0.19888570250767,0.1343744708848038,0.1469674419017763,0.15815705571243835,0.1630320947782949,0.06560818460714982,0.08011889452357,0.29197348324757694,0.05763600931523277,0.08875144828034193,0.23528874176739972,0.21049829591001865,0.15975438180824547,0.18048315229395337,0.13839428857189898,0.11911435532881613,0.12391023874686975,0.13068937619855042,0.15327137729667992,0.08393325341811386,0.16363045478463356,0.17533459944034824,0.07818670127243733,0.08467407041065955,0.11462313536391684,0.12129449875098283,0.10232213808950137,0.13667735417621238,0.1327147363586162,0.1688526027971628,0.13702774631704026,0.09846460324562506,0.08133020885919949,0.11090034054943744,0.20723689379639557,0.14032842162711875,0.10915837603090892,0.1767412128690667,0.10696525283105598,0.16176555283650523,0.20674715948430558,0.24167682287187495,0.23434185021620882,0.1961822231383677,0.26148170787475683,0.11237376706137661,0.13492896646401795,0.10097771064634518,0.11471681990575491,0.12777288054100777,0.07827540965189249,0.22463555596760784,0.1427237346134172,0.14312507601341345,0.12840256221322738,0.2742357222536416,0.1580929249223848,0.06780095410080474,0.12813882955604633,0.09948147856105627,0.05407821679782481,0.19944902052792185,0.06239998097874303,0.07817306375089479,0.1419096731764995,0.0657995703060754,0.05297781405077685,0.06014783429633148,0.07264395997347925,0.12272293783590867,0.09380116677189479,0.13141222904414984,0.2842210649838017,0.13913606319233673,0.2203008010865331,0.14635357228853038,0.18584725840522018,0.06697240271069962,0.16950810135646174,0.0940979593138431,0.060205633108986,0.07302113275365224,0.07150336408328106,0.16672839936482461,0.16747099844579919,0.1889246543532994,0.1361667685422754,0.0974774983920193,0.05339704373759331,0.10078392857690248,0.08194262517690111,0.10373342138842614,0.13575258786711533,0.10307071820151088,0.05351361952669718,0.10327719066901161,0.11201493897402648,0.17567933473807834,0.058087683623451,0.14233440339628411,0.09072444400473124,0.07774600899036353,0.13321039376527183,0.15146160602175998,0.0713827686701066,0.22772248596391004,0.049588965084616674,0.20877567100179248,0.15281911373346266,0.18219175022460599,0.08626449402505319,0.12923184038959576,0.1429448149811235,0.06787714127848211,0.1009065280383623,0.060607674332094165,0.062187825619321443,0.05119816810166882,0.11339310977348578,0.08107921814951832,0.05477401998960004,0.07728761585459126,0.07926077725600923,0.09570033540534426,0.12387554591053765,0.06363437104932022,0.1267622560476142,0.11470372278886383,0.04767222048865044,0.09877490581179724,0.0547399062107273,0.07384920352151896,0.11034291254149979,0.06906602629712305,0.07902306279545772,0.1662493923894155,0.08789049212943445,0.04783125483526947,0.04841297531372013,0.053177378837609306,0.05536679584956034,0.052525739180849025,0.05096629641941343,0.05856785387143065,0.048893801487362144,0.06727465754433022,0.05208071549115783,0.06045893760139272,0.09735897202122004,0.05629577990100121,0.06363263820024138,0.07052850659324232,0.06791696290913479,0.05119250878222887,0.05947161590839916,0.04742755276330843,0.08385668666063179,0.048176155474745685,0.04797765098158641,0.18035603926706062,0.10481393435099322,0.054230155945772136,0.05028051184879713,0.049532209125113726
+301,0.3120943095656814,0.14407357444662627,0.3168590995901827,0.1726615096748245,0.25028277851748815,0.14305459402315898,0.2821722207176869,0.1752432625229697,0.14264155705660198,0.1875863154872471,0.2172600082808098,0.15819731817374014,0.2859526522108463,0.22416845087583753,0.2017986161907683,0.3125532986252867,0.1780200277324191,0.2025708083296935,0.2455558988941866,0.21093000403263654,0.1795786548809747,0.24111243596259863,0.2104530826106106,0.1841633446861877,0.28493604485164625,0.30121536892167555,0.22164641112583675,0.2353776718948956,0.14125375010973126,0.16066509105889462,0.17161062654332315,0.23170540544935808,0.1752937638475431,0.19758263737706588,0.20107279166060915,0.15612381084559476,0.1677822176768061,0.13201144011468466,0.251465813373862,0.14853272201512796,0.21707057665887006,0.20351805296687217,0.15616184910110337,0.2804970923911891,0.19955407767886293,0.16732916437688541,0.1697348066993409,0.18190036687219402,0.17053059918681399,0.20647598175256626,0.2489667468366879,0.32772447534153964,0.2810585132820152,0.27430624206931925,0.16988384153875977,0.2924468485672943,0.17343432787061716,0.17188181760519966,0.16080016353130042,0.18498764101579027,0.17749829757373456,0.20135940232960614,0.18646000085392347,0.18341837997689628,0.1576740736892572,0.17046766573693,0.20719947494590707,0.14916722284628522,0.15149547073166642,0.1339201514831508,0.18801922390515696,0.1570267844774017,0.1712682345118148,0.218232416009905,0.21790397553027244,0.1908553143211512,0.1743456325170698,7.450580596923828e-09,0.15837404077625053,0.21417986776311765,0.21844862845614588,0.23780535171029812,0.19923780396768456,0.20887324366328294,0.2089133205383686,0.214841008685872,0.17138539702693828,0.16846615915388696,0.26139385198493637,0.16899151569986826,0.15617790953934643,0.2616718433095985,0.2191653923575082,0.20301526052177757,0.21305803217902425,0.1758427037015852,0.15603602658756538,0.16470037211383348,0.15990323121337802,0.20011847277076728,0.1660388698010243,0.17642244823635056,0.1567453228382434,0.1533195140658259,0.16740388113758523,0.16529287921500288,0.19115168626078913,0.18405110860609178,0.19992891125175966,0.17558405358362977,0.20147179778019716,0.15547583629188802,0.1728912779212789,0.1514195718066971,0.1522785988819533,0.25277100574556055,0.19899033547474984,0.1690431037045821,0.1732074521759733,0.13797790674003832,0.1927133815918055,0.24866033938064874,0.2764206680575941,0.27412063401847564,0.23299798707598202,0.2938947316532107,0.1806721128974838,0.20999544097484887,0.17435322801271358,0.17829048412081097,0.1955866225492516,0.17035839368931802,0.2653233652547533,0.18911262517698466,0.14955784552352366,0.19989004833368468,0.3045624811654106,0.20367002492745467,0.17223407264365814,0.19569780435334772,0.1691009770179795,0.16631085176487823,0.2442870425855941,0.1686363565108584,0.16588005313140955,0.2034032618312768,0.17321915694522638,0.16720545792536207,0.16886826373583402,0.1659312666391836,0.18288639963229117,0.1697275955151649,0.1817533407317848,0.25852401510948264,0.14677203430148053,0.18555316257776794,0.1996927758579445,0.15728213419330364,0.1508198417573313,0.2203339589620571,0.15765666563986327,0.16754315523640453,0.16025823446519938,0.16601448108037173,0.21306206069337916,0.21287662147701464,0.23502136338434076,0.19070671381679374,0.16989886680052327,0.16940833118091705,0.18611229457435094,0.1633660944654872,0.15779992235939877,0.18302177521770227,0.17613694326210064,0.17050408384451027,0.15057895676070768,0.1590416512857848,0.20115363366592195,0.16163383440148568,0.1954207567437287,0.17046556752835823,0.17080223596624866,0.19363387796887935,0.1799578116626454,0.14209813755464953,0.2235893911578949,0.1707497380830356,0.22970522355128659,0.20126171588950903,0.20913689242574085,0.17436696872849805,0.1845091041863005,0.19759712957186196,0.17129848196105443,0.18765292839258402,0.17056254172439955,0.16288375745242775,0.1695730584907655,0.1707390322151416,0.17535772543545713,0.16647019028704693,0.16381123261494027,0.1550082931654568,0.17005387185436371,0.14874764803053586,0.16692911937763172,0.18756164556569604,0.17004821839068623,0.1683307078432427,0.1780731696448167,0.18136591671692692,0.1722486906681781,0.18190401539202222,0.17158442103771013,0.15998021278295987,0.14343930558627588,0.1824532897862671,0.16838483893483583,0.17879242217140762,0.16850880343053948,0.16869170400698608,0.1636774750250472,0.16901337871584332,0.1703022945691489,0.16779638819702467,0.16708727380386945,0.1701622323643242,0.17172067568645283,0.18434989246241132,0.16817961565870265,0.17222723032435144,0.17028349650218966,0.16159799946089473,0.16890800342101686,0.17055283246619715,0.1685642367680904,0.18009222019190865,0.168508158491976,0.16843032229752003,0.20742266224374034,0.1854462045198387,0.16890027414375758,0.1674099720378072,0.16709543144050554
+143,0.29041700546664784,0.10752196700810708,0.34615537978504335,0.14667046062004632,0.2819462480876302,0.11847403641100326,0.2886413002203573,0.1731971225392318,0.14622353691766,0.2094435768280457,0.20766764762764697,0.09540156345162593,0.2825555950495751,0.16780925501731514,0.1452278469325073,0.3007766291008078,0.16880415711580335,0.1594621860798021,0.21529854725793596,0.15844114293426553,0.22908127622937732,0.1978785724885854,0.20059562675855047,0.1769517638357491,0.2997642098953724,0.32275565205098655,0.2341897741614074,0.24313401319854666,0.08677292589342743,0.0968313154258184,0.10696468748727278,0.22276509748422535,0.12431212165085302,0.18228641066620246,0.14760995247516157,0.08894407018744226,0.0949321636748629,0.17675385146400746,0.2634832738979079,0.10767906567048137,0.19605220538072057,0.2145562705538882,0.12553569005309748,0.2660691932824981,0.22111398164343585,0.09087801019274032,0.10383032372473801,0.10576173098988821,0.09411385950148528,0.1777203015302744,0.22857791729634913,0.3117570335150464,0.26880143596744077,0.25317846516807024,0.09255137412571238,0.2688750984610346,0.1333584335024985,0.10728402262983619,0.17146895119183841,0.1412939349098277,0.13146067979998843,0.1691095072429652,0.21073718769779187,0.16342749180883465,0.0916570384076659,0.11881497539324745,0.252418463320529,0.11139520874950895,0.10544447743090392,0.2174947378232208,0.1606202790645757,0.11795107095843065,0.09997483867512871,0.17451517831552932,0.20912843719314173,0.15028672479843502,0.10235200109126003,0.15837404077625053,0.0,0.1712588601226494,0.21974737311033124,0.20590920407092905,0.14587533156360938,0.16680149889921073,0.17006266148407378,0.1721492963388563,0.09533990504177342,0.0917476337596943,0.2904807678331759,0.09672929249923679,0.10254605405505803,0.23769735272003614,0.20426091833532534,0.12510620634786843,0.17486366138673118,0.1319103315978571,0.12033551876051109,0.13310205990645088,0.13532223458222653,0.17188213213160178,0.10780650769367649,0.16825219616883735,0.18145058803956324,0.0990070163844848,0.12443232125287466,0.1191696166817907,0.11833271840428168,0.11468943251462617,0.15078861816940273,0.1368602746858919,0.16998214741864598,0.13990009658574568,0.11650441347888275,0.10260344319968659,0.11091789459374916,0.22376894687845228,0.15379199020440362,0.12543954098710527,0.1594081978075908,0.11750035118602935,0.15764933926618824,0.21705382280105526,0.24813046365501662,0.24252037883086716,0.2007814108272233,0.26900627013083606,0.12841337214824441,0.16512875897775983,0.12223999459502247,0.13171976739092062,0.1413320223930294,0.10577516768723409,0.24033864136447902,0.14394797640712093,0.15231360229892538,0.14823712548583684,0.28081508495717084,0.16744272337524044,0.0943130040609789,0.1431218985353538,0.12590713157329667,0.09376395944176621,0.20806618914931246,0.09568900904773392,0.10360076863432008,0.1592860070636351,0.10227633733064938,0.09044716043607809,0.09039820581690455,0.08824033479529453,0.11716214781293512,0.11331177687809346,0.14436760184460168,0.2698314842683507,0.1421765818037275,0.21457829127994615,0.1440108083353776,0.17885082267293909,0.08442640174568784,0.1832293593873133,0.11029033429811369,0.08803641380999336,0.07141710641313435,0.07654828200341526,0.17783168741022026,0.17804525038150257,0.20916458092351645,0.15255486272940222,0.11735577752330612,0.09230061870893917,0.12380052817367893,0.09778375087034491,0.10791312103231214,0.14709082213765828,0.12450903352553407,0.09459114563933123,0.11265915331459386,0.12604266364443817,0.17505192319570784,0.09406378003286245,0.1554899802916493,0.11410020721116712,0.10007593029071747,0.14904759694183334,0.15421156855955145,0.08043898640875549,0.21576943558332679,0.10801735519056213,0.18503351281376973,0.13832462394928277,0.18164011540101574,0.11136852838835982,0.13840353374440184,0.1561017911723239,0.10182444901178041,0.12578658354453115,0.08851508217711944,0.09419341939690877,0.09197551923401301,0.12147134855852512,0.09952756855357216,0.08808524171756543,0.09465558744053108,0.09753588395509007,0.11491148815532248,0.12855119505055473,0.09488273531244212,0.13800120249216055,0.11469637042876298,0.09059202407313867,0.10417661139998961,0.11399760198019197,0.09819560922824583,0.12881431719023875,0.10452376459686329,0.09507491185640515,0.169356552439915,0.11546373761735527,0.09272280867894409,0.11031873570357936,0.09076449010728238,0.0940627061969948,0.08683943131891597,0.09149619036520563,0.09550695733638014,0.09078827339329629,0.10316139984395369,0.09378136735890218,0.09457016910173674,0.12200377889849016,0.09528239409996027,0.0970864410056908,0.1004332786144062,0.09462266502352344,0.09217302450106546,0.0932447003183344,0.0908019038866315,0.11385052428281776,0.09091576839729454,0.09063142101687889,0.17721025210095614,0.13152227101236869,0.08911467092785588,0.09243020431846281,0.09144198867127382
+26,0.3143129081685672,0.17748247090146166,0.3838865703004914,0.2073842356509258,0.320247436615713,0.1794124363720825,0.309686968422464,0.18497614291372527,0.20067526486928416,0.25743835581884517,0.251688610298695,0.16537569323358797,0.3079413085101214,0.23567827590516977,0.2217448757488052,0.31639452072772173,0.21846483041943457,0.23944336192839066,0.25016887610740457,0.21461191906172505,0.2719767795588734,0.2669804212262593,0.24045943769233857,0.18610729199221998,0.3273702118973732,0.3614163874480273,0.26066840828912335,0.23405587424081062,0.17331519971556375,0.17583058109308333,0.16618494662085834,0.2592338592800967,0.1696536563815176,0.23653038291186185,0.1544068851450092,0.1611231794285325,0.16701884183466234,0.22565988783472885,0.2935447347667077,0.1647335587530635,0.20985123437979936,0.24976627890750813,0.19068334917520213,0.29770478242857096,0.24916008168330492,0.16267918665595602,0.1684450516015628,0.14366485775345184,0.16043501531579873,0.15648974022571613,0.25685846850942506,0.3391475218935028,0.3008875271699032,0.28605445117055517,0.1667197495583741,0.29463534495629484,0.14991244144865795,0.17579620350964711,0.23818144774083286,0.19416494434682516,0.18442795729712647,0.21353490095164038,0.17705791392154607,0.17724927388089928,0.1521593164267147,0.1661617070757113,0.277660262839105,0.19945719537405052,0.1963149097772959,0.25409660558291886,0.2157376071764834,0.19755075111930287,0.17194225835693944,0.21321604876494027,0.24525806524583127,0.16954846271424107,0.17325208373502596,0.21417986776311765,0.1712588601226494,2.634178031930877e-09,0.23147110716736488,0.24683066089225994,0.1959815536209504,0.21239481538284488,0.2151516535020532,0.19841524514512218,0.1670346768494984,0.15980957111894548,0.2578722088531926,0.16805497962058205,0.16557058440637412,0.2677637856577445,0.24540566494057708,0.20544811063035534,0.18544364393115872,0.15914929685310955,0.1891033273130345,0.18384099016139396,0.1706251508275544,0.2005057783383936,0.1706805334105507,0.21529648803133258,0.21515600204723512,0.1672069913287233,0.1738652056527531,0.1760949679637432,0.1521572127779381,0.1808063089198566,0.15415644830516953,0.15003483739909435,0.203004478041333,0.18310580861635287,0.18043291531834826,0.17702782520969204,0.18693216837978371,0.26083773630381774,0.20485413691194493,0.1755003774605544,0.17032062821135835,0.17039106724890557,0.19559085587545094,0.25639433484612856,0.28051636133644897,0.2722624139729279,0.2436000074774173,0.29824293648777966,0.18884388817529976,0.21021312374933349,0.1546869285565039,0.18182329566481542,0.11683128861013645,0.1622832515904783,0.2632983282480122,0.152201853765593,0.19649571602920068,0.19642769930661794,0.30585163634549944,0.2121273324476731,0.1616006441059973,0.16826902701427135,0.17727896346134508,0.16779920664782982,0.2387705417462352,0.16369101491431037,0.15338382303730813,0.2031879624970843,0.17013235684118772,0.16285138831969606,0.16650938242016985,0.16493573433368638,0.1600928343098878,0.17882863190373674,0.18985207023016615,0.2944881913981313,0.17182228246015915,0.20713009010819528,0.13671838468490685,0.19902953154249525,0.16307802167972896,0.2186864212708813,0.17219976719074268,0.16319576494453525,0.16824848712621185,0.16309015368752758,0.2229062949848673,0.2219701478545687,0.24456166505770557,0.20015345203286153,0.17955710742433764,0.167102058154162,0.17847612974160698,0.1521613132462246,0.17272893439197287,0.18221928595840245,0.17558116714238475,0.1680920170521229,0.17607426649648783,0.18133196002708765,0.21992382795863413,0.15969378882331495,0.19308244347501607,0.15672764791490132,0.1454176852848256,0.1835566288291176,0.19706041558909448,0.16148010418488187,0.2470961601096997,0.17011321668665205,0.2135871029708384,0.19317083857990774,0.2321664363469261,0.1761110213031933,0.1578799520727627,0.1944837246019223,0.16770927052386786,0.18151426017529917,0.16003187160043567,0.15923227865476516,0.1670048630341757,0.17362190390145477,0.16549673246738886,0.16189508222305277,0.162630246947605,0.1641990023764519,0.1635504778506265,0.1790121360804807,0.16792061556506216,0.13268034722090322,0.15983292854247735,0.16659619984489243,0.1736244959592485,0.17277574526561587,0.16950292718764717,0.18402393083247268,0.1711740466157979,0.15600075514801043,0.20772503863047082,0.1793330620631558,0.167771937430286,0.17604569474607207,0.16492133911122897,0.16829416906202693,0.1624765077059405,0.16694794243448638,0.16760330814224184,0.1660182393220724,0.1696485158906826,0.16854469942933625,0.16940503790748382,0.18187146576468194,0.16627558944630685,0.15403257324593786,0.1686873784588714,0.16311624577053097,0.1645610147335187,0.16666111387857194,0.1665618938908334,0.18020181979982772,0.16639967604572925,0.1664467210427403,0.18620504195690443,0.18513521589079013,0.16483152552592129,0.16627042647279583,0.16662238741314486
+224,0.3332050584926273,0.2122656915621864,0.3389417347818548,0.18926417313933144,0.2554308095533465,0.19386500199861403,0.23198861246157942,0.20957359629034794,0.21269305743208303,0.24939335099077403,0.26770040530187766,0.22555161090611694,0.2201074448291249,0.23709204278522653,0.22890708433000828,0.2481253902209171,0.23208984277458763,0.2239279578999139,0.21950672187205303,0.18326259664964584,0.25135764917497916,0.23479119086403788,0.2546963304933677,0.16813829754924428,0.24569088004939055,0.3352637371686543,0.18448985204375817,0.20238305312477167,0.22626008949903847,0.22992877213840401,0.2230282390703503,0.23971945350695237,0.20735852442787034,0.2464479149238535,0.2515663502806239,0.2223365006191511,0.2371821538011383,0.2277446124385926,0.2846104600463498,0.19807190542127337,0.18084762378954383,0.21728425917143934,0.21572822096504377,0.3155748694047062,0.18342330294794507,0.23027017419489498,0.23882853771661225,0.23486177747780387,0.23436673396205576,0.22087549040027807,0.24261562193309308,0.34796851806693846,0.31610305550822043,0.30860088516603823,0.23473396754136736,0.3092664183258107,0.21256295346101037,0.23329737654526553,0.19952885215108299,0.22352640570588528,0.21690521500791587,0.24904541568453836,0.22001219984029663,0.19781677598335126,0.20684212319912135,0.17982532638384693,0.24545883842540817,0.2303515999699044,0.23362913004806407,0.24335756429610217,0.23066044884166242,0.21951257966591095,0.23838173404459953,0.2670576681551546,0.19494187839971308,0.19012435738492153,0.24155827828110163,0.21844862845614588,0.21974737311033124,0.23147110716736488,0.0,0.28560896650012274,0.252085217054999,0.24889206232163044,0.2597479904347204,0.2604401299973602,0.23611694151149534,0.23010064239857733,0.2812298222499841,0.23689079627631107,0.202573913508089,0.22339649031333944,0.25335637948119794,0.2351765160755751,0.1891943539923662,0.17896726248360426,0.22928913652408334,0.224075169117048,0.19205634597856933,0.19706790213493092,0.22503156745649847,0.22354793987873414,0.22619803623307766,0.22071526871107933,0.21043562412669736,0.22982943577863568,0.23787705320305982,0.24042848240269468,0.2489165381369174,0.20271965993133761,0.19147588617580716,0.20154757003603593,0.2326778126435389,0.23141220130362175,0.23063009653907288,0.297274830733688,0.25531704421196405,0.2263051016032553,0.1557429183229717,0.2149110699114948,0.19780896586037675,0.28764872102482525,0.3046030746814347,0.3046064862540038,0.25977977746449543,0.31759005448747896,0.21766466022314174,0.21505097054912947,0.22645479705704052,0.23365995189825525,0.23688674037556476,0.21804525760637852,0.23213386722895382,0.19997664615387037,0.23351238108383426,0.2489136850982034,0.3288703644236415,0.23815827599889486,0.23521608168648162,0.23643255505671304,0.2153435735782959,0.23437272629577283,0.2772487430774582,0.23185535786119613,0.21404812758398806,0.21559491431693115,0.22490852600139605,0.2342186196216487,0.23574141360388326,0.22639928477938337,0.2240260242757125,0.2355076532998001,0.23432156897298728,0.1822859196183145,0.18993627984502934,0.21254468299329798,0.22692792153722047,0.1880598001565787,0.2194285414721423,0.21574926501667346,0.22726604164718645,0.23061262525185555,0.22869052947125895,0.22843249090431006,0.26785055128698826,0.26636965604558505,0.2836666016715138,0.24413576223354713,0.2353670318614322,0.23494054156648195,0.2443235922865061,0.2150117096504906,0.21699422381487132,0.2052772009870313,0.21008305013901216,0.23930403007336074,0.21568219170957748,0.21805996463967567,0.23413920716643474,0.22631396681462382,0.2235937943451467,0.22196091016071065,0.22598201052996578,0.22786241337013252,0.21068200822603092,0.21634791321459793,0.2058103786371189,0.2272135509612065,0.2228069128111492,0.2283405064949259,0.25755001457592525,0.23812038757821608,0.2235478194670843,0.22475945905849057,0.2369601157017974,0.2500232530555334,0.2368943576652243,0.22532558081038137,0.2341732211434315,0.21294845539142906,0.23516472036257213,0.23245534758947364,0.21252290307939553,0.22156471800697594,0.21533675035170002,0.2096433628198433,0.234237941729668,0.220728853000562,0.18763905674346007,0.23808844770601048,0.2317680748149253,0.24281706925517163,0.23752616195244516,0.24091163745164038,0.23324258980114376,0.20441609955810403,0.22092008175657948,0.24307581088423583,0.23794813602037235,0.2333458676227909,0.23553906041167066,0.23591908426672,0.2300294472477769,0.2373865801798734,0.23856937226715733,0.2364874252217889,0.22734454854793318,0.2347986394041935,0.23770739569119162,0.2447721765868134,0.2347287646638121,0.2367007539488983,0.2365396081237802,0.22367613728527486,0.2357592859050212,0.2367119414922827,0.2383635072559654,0.24015731270618734,0.23825723809812918,0.2371971438503783,0.20246316607089243,0.22741484735274395,0.23541038094265623,0.23648223417703848,0.23747358645342667
+255,0.33856532425492264,0.1963645897562668,0.3879114719944231,0.23423546418208993,0.3171754330258164,0.20731095257902066,0.3413810175862628,0.2516425613727022,0.21195316925013194,0.28506619874875716,0.2754533724314392,0.1820359629010063,0.3223115525211867,0.25818142320448284,0.24843209773558084,0.3345209594666782,0.24406741888312972,0.25997084210543303,0.26470243924379755,0.25285042968005855,0.2957292385667994,0.29077459097144165,0.2706402848374653,0.2567830844874334,0.29343197637921864,0.35839140199405745,0.2809567658602999,0.29644665958514266,0.20130335439456498,0.20224735400972105,0.20054708395919443,0.2208279226519753,0.20882066038327032,0.26079238133949817,0.22380718689099943,0.1918567506425693,0.19543880539942293,0.2576946327306699,0.3202289317297551,0.20607187168737096,0.25755566029404775,0.25451444152538516,0.19404755103733964,0.14015147780624396,0.29016530186732603,0.1948435177252295,0.1996625190656454,0.2099562887747887,0.1980405917060727,0.2529014048457111,0.19438250327692153,0.1788094530857267,0.1440390962260751,0.12672202683916392,0.19261890527001066,0.31874289739059053,0.2177267687458989,0.2014650427938345,0.2678496714896909,0.22530506585796287,0.19871588443680346,0.1122645095391775,0.2672760666303175,0.24120267251362423,0.1951070487338079,0.21017995828151323,0.31110917646981157,0.2292844971734994,0.2243860287926143,0.28841091278333875,0.2412983056581162,0.23367283470640807,0.19779880469279595,0.24617538311760861,0.28664121599383635,0.23102950210410664,0.19888570250767,0.23780535171029812,0.20590920407092905,0.24683066089225994,0.28560896650012274,0.0,0.14183554453539926,0.14874094356483142,0.10665122784017993,0.13367275593667166,0.1917906357352227,0.19990188512923981,0.33483881544583,0.19570423587814526,0.1955077567670947,0.2838150161521013,0.2683084094109236,0.223467423888958,0.24943052549479544,0.2216945960406906,0.2124883902323264,0.16554199537827577,0.21502321945208638,0.2265156823234677,0.1730496236029114,0.24076698958122858,0.24830289077168083,0.19605525482967834,0.2107240879650801,0.21115151703318213,0.21888977126820794,0.2060691379852364,0.1896254096347952,0.2176859005335917,0.2446487220224705,0.22182066046399587,0.19900845103591605,0.20791163072185184,0.21292784778073984,0.11413868070902142,0.10520885724469661,0.14121095084589147,0.24142373322005245,0.20522145397967598,0.2373715417671108,0.2777952935353018,0.3030652843959219,0.2986679897806271,0.26530419338840494,0.32058254837255007,0.2028184283234296,0.2234794944074765,0.20890596150339857,0.17540741099181878,0.22363591314376802,0.20034978804310358,0.26571094031075326,0.22761088947325162,0.22778444580629173,0.2267774739110748,0.3297081449533195,0.2384901684145668,0.19778487545827866,0.22399215755275886,0.21060844456687372,0.1926378768643862,0.2715698134991976,0.19665581159206022,0.19894332573950646,0.22484547460213442,0.1966284854989631,0.19193022978694274,0.1940611420040389,0.1969745551799603,0.21658524637780943,0.20255152704001023,0.22106468560418086,0.3209819386470513,0.21648716162080958,0.2617628576243375,0.23154298213610336,0.2414609270621403,0.19398233286089941,0.24226578943284918,0.2034952501421743,0.19445735078020593,0.19896950934957466,0.19841601196395622,0.24899387204768447,0.2496097264301916,0.2718760671546587,0.2289029133530224,0.20901581303552247,0.19282910869434627,0.21231049380989175,0.19658447629790138,0.2056187220343685,0.2245365512580899,0.21078626093178296,0.19536841777371555,0.20263875894699526,0.20865838451571234,0.2465433590418735,0.19367416151821026,0.2270457978541255,0.20477093042539785,0.20078056242513365,0.22541969197372477,0.22993055605487478,0.19444693498057067,0.2824295947428492,0.20215859791407206,0.2742793815590231,0.22997739863108949,0.25685803804313134,0.2055835319246432,0.22426481544932997,0.2247373099418272,0.17686877029392384,0.21250071877917695,0.19532954842251804,0.19327353163146663,0.19078465955869608,0.21172694727929964,0.19499651119179567,0.19315729173729265,0.19746727595056826,0.19963660529541818,0.20668009693140268,0.21526526642924962,0.19641103148504105,0.2152641706025012,0.21000753122800253,0.19324900894397073,0.19977080301202593,0.20467418019521766,0.1729733249763575,0.2138799866743092,0.19968581075736613,0.1970485269381085,0.237938539484659,0.20680727755904513,0.19354873708920636,0.201288143937911,0.19299193330908698,0.19525432018881583,0.19211192229651544,0.19363666682766745,0.17677768330263122,0.19348451135052858,0.1994103717396716,0.19462651055416622,0.18106353130813713,0.2100023921824335,0.1946757527136807,0.19690932982429643,0.19373231655269205,0.19661360188151722,0.19227032445089193,0.19362310681389744,0.19315438594167528,0.20498349964754092,0.19337949583359335,0.19190052242657316,0.24061342235094021,0.21136926954942167,0.1941244670031688,0.19285524750085917,0.19319376729585822
+164,0.30780975218609763,0.1551737146438045,0.3777881228265768,0.196535822427208,0.31540142641814695,0.1550446872634253,0.31069003494370107,0.21260957049305151,0.17937260316010326,0.2508556789178919,0.24420321699557185,0.1245020097366656,0.29971232834839895,0.2232012714083599,0.20445859538476713,0.31735430429519296,0.2013933159861698,0.2225866224921365,0.23648924255787904,0.2152673373847749,0.2670665414417421,0.2596622721448068,0.22233002534245744,0.21554380988423827,0.301852471483099,0.3520911016937916,0.25942432139067617,0.2616672923836051,0.14110477701866264,0.14275307003877757,0.14101705624789437,0.21027628124401362,0.15232863526134058,0.2235921261101126,0.17229270914221348,0.1210774419114118,0.13023231450732473,0.21501657919378767,0.29433869986307004,0.1354782703064254,0.21472840662195836,0.22503205734702697,0.1507299152409184,0.20152957688387904,0.25717459878626414,0.12933744850276174,0.13678666577688595,0.14187382919766692,0.12095349837377564,0.2036914897879183,0.19925978082254875,0.24400399535192793,0.20260723534907754,0.18813637903421077,0.1303222518328114,0.2854003432250525,0.16335079959159776,0.12688377525848432,0.2275478027657237,0.17471524532441318,0.14881435894891717,0.1230322595874873,0.22120480436537637,0.17500318014279623,0.12872296518514995,0.15705854116246268,0.28636138336334166,0.18460092332867034,0.17382551943498303,0.2565345367757188,0.1967337308643201,0.183899501427882,0.13304225269370315,0.19828196684073524,0.25007620391183444,0.17828267547163865,0.1343744708848038,0.19923780396768456,0.14587533156360938,0.1959815536209504,0.252085217054999,0.14183554453539926,0.0,0.1177221454389441,0.1191503081282299,0.1247609455902997,0.12230411253480833,0.14009287611133375,0.30082245937419466,0.12476496306586769,0.1389776066440232,0.2543081201525248,0.2317186733318172,0.18298339382134926,0.2040744701034137,0.165694158213281,0.16030662612839594,0.13366129183343795,0.15973743917257738,0.18519479793463656,0.11573784193404281,0.1985582142841817,0.2044194767437834,0.1365995015797805,0.1549874928702446,0.1566137725328864,0.14596170432028632,0.14835041823759776,0.14823039179867534,0.16233389374644383,0.18701176424513577,0.17382145936819787,0.13919855201990963,0.152935395818487,0.15930470986970996,0.154308206092897,0.10039756950269364,0.1090839667922194,0.1909622421680135,0.14437402698482407,0.19391329639515648,0.23739822330574437,0.26555273087938003,0.2612080500961429,0.22558810220751757,0.286096669422613,0.15500653653275023,0.18255336955018547,0.15101964591009803,0.1324773824758362,0.16968729601658716,0.138105473213122,0.24007155954920303,0.170681348768628,0.17930996339985036,0.17296297997314122,0.2964007068998578,0.18177653362653637,0.12448892212913346,0.16946461885847172,0.15947113990678757,0.12736635218122172,0.22961796288481764,0.12736889595672843,0.13335352526419184,0.17854460661568233,0.1312573872224202,0.1253001793982019,0.1219833781281294,0.13502566610509945,0.16474044510292704,0.1389007900966148,0.16661124722141327,0.29698494563449274,0.1659618912644658,0.22322292281717124,0.16747116063909964,0.2040772721438573,0.13128860675509388,0.20048304530192096,0.1436082975443367,0.12861790381291816,0.1375459754359494,0.13590460845381383,0.20126711574602424,0.20218681383446396,0.2286936739445513,0.17642401705405356,0.15074612072870938,0.12900434087473045,0.1486575090927693,0.1332412698168126,0.1495876310843056,0.17262177438782111,0.15264021712823178,0.13046990085579788,0.14626964982083054,0.14198799395457778,0.207387529962433,0.127815415113421,0.17804339017334353,0.14547453269212426,0.13602221873382195,0.17226204286540836,0.17102840487647206,0.13125158788813154,0.24572823608177036,0.13912525019275535,0.23479555651928766,0.1822365885185448,0.21494679343486436,0.14467489242490847,0.1693464391865426,0.17512066950198488,0.11997920803659326,0.14907707539823367,0.12080148090100995,0.12884834740311746,0.1263103561346321,0.15577041517422324,0.10481286880791434,0.12825364300261952,0.1342913525150123,0.1379698760417618,0.1436882318409301,0.16396472786357932,0.1311059457054523,0.15759629128688696,0.15708692746922603,0.12687971223171862,0.14269997063976497,0.14446319461155796,0.11758763182518256,0.15836183406138193,0.13583921840607083,0.12886476773678543,0.19515455129070197,0.14723311127022207,0.124982610925809,0.13414127675404494,0.11992609987939325,0.1302910197256355,0.12783578225092357,0.12778554717694893,0.11501850446680784,0.12764267524619072,0.13118223471834087,0.12959160952109344,0.11488160101259887,0.15010977290663158,0.12838185954127343,0.13126661329531691,0.12548321899518936,0.13371692243835684,0.12733386224900126,0.1299868241438375,0.12738046568071393,0.144708713549351,0.12748351241367453,0.12651925078918205,0.1978893756452474,0.15454837992662393,0.12098853644394807,0.12491654063123946,0.12765171307676446
+85,0.3166015947702997,0.17182685959749716,0.37979492439994206,0.20961213811844287,0.31263409247285734,0.17095968527948013,0.3123711229708238,0.222200168503962,0.18966489999306957,0.2567409729016194,0.25272415368214646,0.14294805238104652,0.30441927815169484,0.21237060437863278,0.19719224409132013,0.3183447732139361,0.2041248343264858,0.22510340633118886,0.24259384359856567,0.21599304546839473,0.26411976762217887,0.2476068003409931,0.23890011696778718,0.2195935422978053,0.29029576059105794,0.35465657371724374,0.2428015921984449,0.2705649591342323,0.16303191552421373,0.1620720913660736,0.1475672691907053,0.17978252268632253,0.166106118821819,0.23268772310532576,0.19098449725510783,0.14954633328612807,0.1506374085710416,0.2224114897363183,0.2991377867370628,0.159033953285486,0.2009568185706982,0.20033759502411955,0.14678049921116249,0.18978597372627243,0.2551233291963571,0.15374182893925759,0.1563787629013367,0.17078862463677144,0.1544773851580955,0.22674549768828894,0.20918584338617327,0.220272917523545,0.19285874937700423,0.17731445446347716,0.14469044095895156,0.2933931908724943,0.1782153155362213,0.1589117532841741,0.23115690334344743,0.18721054070809734,0.14985289743373115,0.11035102913618404,0.2310963936222645,0.20260548147948534,0.15120911173380383,0.16521459354613888,0.2760741627319237,0.19806348594791595,0.17782940274119596,0.25749967858812023,0.2069006111688533,0.18275906166849468,0.15904441124664143,0.212365972617874,0.25354211006072214,0.19081108549741488,0.1469674419017763,0.20887324366328294,0.16680149889921073,0.21239481538284488,0.24889206232163044,0.14874094356483142,0.1177221454389441,4.562530187486071e-09,0.10663037240999565,0.1126606153568027,0.15180887546715696,0.16150975750371735,0.2972558562010637,0.14900552755747076,0.15575514367200458,0.26159616026996446,0.2427711829180441,0.18242891970916433,0.21112366959588164,0.18217964407808956,0.16391044532256713,0.13407713152926323,0.167903133478211,0.16742428754040645,0.12052169522148747,0.2085006962053326,0.2178212348881322,0.15811570634399089,0.1547092422053993,0.16885665489255453,0.18052253057656578,0.1596899522639311,0.1608431018415376,0.1747579894515076,0.19943058635558278,0.17999275985395985,0.15229702428976288,0.15814908421763643,0.17660893740161437,0.1302879072576488,0.11332223058473845,0.11594774180389637,0.20509746525334538,0.1670181228148732,0.2004761953756201,0.24823823227406824,0.27606860061261673,0.2724615467906437,0.2375352716156831,0.29620161313192256,0.17303873338451076,0.1868464725408977,0.17055495293556663,0.13133694184579672,0.18841263033641334,0.15957955358416437,0.22229427411488367,0.19167264121952454,0.18691468175498574,0.19251372944949788,0.30566139920346963,0.19974529819134756,0.15697599529386594,0.18751186469232237,0.16569146966243486,0.15366757152782218,0.24170163067552913,0.15474940600408743,0.15681030237273905,0.1926834738369747,0.1569336510949492,0.1515639994461007,0.1521974871566933,0.15533485761743235,0.18101242472762674,0.15979007962646133,0.18500563155153352,0.29519439198016806,0.17037099465740455,0.23175773765880253,0.1932224535078285,0.20703257612627324,0.1525333547915871,0.20990361974189822,0.16002165214311145,0.15411528542422803,0.1584321795062073,0.15683917021787722,0.21741745731790338,0.21686070899144677,0.23349226273438073,0.19427230373131155,0.16901760510003697,0.1535441201147159,0.17213795136608304,0.1527409148109153,0.1644219085920797,0.1800151840868474,0.17142705400111655,0.15521143230106044,0.14581572413705515,0.15935223455538447,0.22031575871625622,0.15325065394893927,0.18904939431693413,0.16529428425648482,0.16063864965617386,0.18764755678942582,0.18371956986436302,0.14547262028665187,0.2496773455418434,0.14758423302815032,0.22896521843547898,0.180955503794802,0.22658357223403777,0.15789510210024182,0.18816959471717162,0.18668717608449023,0.14473237921067852,0.17353871783975686,0.1545924081225123,0.15257717529099135,0.1510771551718251,0.16844104802607654,0.14881052967475278,0.15109071300957091,0.1505896426326872,0.16010594955426224,0.16451105906023977,0.1775177757571548,0.15210092807184053,0.17224399097446372,0.16799213711562908,0.15312631301170654,0.14501795199199774,0.15463269898359655,0.1328341588234551,0.17689784388188828,0.1595543114030224,0.1520523463914663,0.20669171200522465,0.1701521798973791,0.1539776154375431,0.1469379507899864,0.15051830284025947,0.15568742304346064,0.15201245768284266,0.1535355536734771,0.1411925303037151,0.15239441324104425,0.15917403302776686,0.1552906344972014,0.14276876914759534,0.17308098570681862,0.15481240741106592,0.15689418649586087,0.1481491848180876,0.1559313727489108,0.15144963377155943,0.15368333019509103,0.1534771457249998,0.1678734947038394,0.15365625584567508,0.1528029745563257,0.20412025731275552,0.16636695011002514,0.15119275677277202,0.15412923215686145,0.15326829578161122
+97,0.31865494826732677,0.17118214522952457,0.3834461696396794,0.21529702166334727,0.31302369652982126,0.17449317631893868,0.31998373381051115,0.22655077579727925,0.18643133438949921,0.26006909190979827,0.2542199633333802,0.1409959424097955,0.30960155973312586,0.23032568536304787,0.21870749987271265,0.3243163591499278,0.2164106280024639,0.236172776642507,0.24732292078738569,0.22681047153213924,0.2717784087043858,0.2654813340614323,0.24218042034291715,0.22689832926772877,0.29330458633973544,0.3529425896216977,0.25473980312312283,0.27967542423813335,0.1632913847403325,0.16266335544998725,0.16025613416456747,0.18523849009309917,0.1682354241614836,0.23504480760142998,0.1909065577086332,0.14988334533890074,0.15115470066638553,0.22804396122733092,0.3019648396591604,0.16966347186138284,0.22489540895456395,0.21903700505514992,0.15298955342298715,0.16300211968933015,0.26370873354699675,0.1527221268155654,0.1569378435588385,0.17150196716235003,0.1579371207428904,0.23026072074982565,0.2006531010481433,0.19839904153011856,0.15789223149201823,0.1540540886812871,0.14907633765964223,0.2967304627992079,0.18166848144837408,0.1544701077435258,0.24098163146657028,0.18914129985020808,0.14828288814103602,0.08708950412269537,0.23806009252101254,0.2053856978627346,0.1535267008457911,0.1705635844463652,0.2876233852141132,0.19924783156073,0.19038994398529724,0.26367603392544026,0.2096618064786414,0.19984990175698605,0.15668892738054266,0.21449992518903743,0.2614350441014015,0.1968567404302602,0.15815705571243835,0.2089133205383686,0.17006266148407378,0.21515165350205318,0.2597479904347204,0.10665122784017993,0.1191503081282299,0.10663037240999565,0.0,0.10143412074346876,0.1526490201871507,0.16106997431999368,0.3114762985141077,0.15182891876530213,0.15318406649785588,0.26407107292252907,0.24550047595155886,0.1938249773158755,0.22044875908105177,0.18917800422847164,0.17245766903676174,0.12915098877804584,0.17681617233105937,0.18978593801958413,0.12039372440671653,0.21147274347246095,0.2163568837224309,0.1572942156828849,0.1713598969524285,0.17499450660340662,0.18351802599815542,0.16737235020624952,0.15186569038084502,0.18030564927641185,0.20808282811010917,0.1861812335839736,0.15337533230310438,0.17113487316583717,0.17658841209217271,0.11819255692215765,0.08593210310101569,0.10581814810035578,0.21223308656082154,0.16966818649824225,0.2078756746013768,0.24989205091215472,0.27871058755876127,0.27366101787517516,0.23984418288781803,0.29765128377464806,0.17361090046570082,0.1997091876930922,0.17100184057280207,0.13333348359563715,0.18869444337401192,0.1604813984297194,0.24169273378811706,0.19245350442290413,0.19092070783559706,0.19182222369466814,0.30729606281002797,0.20578279792433832,0.15703658937174528,0.18770555484242318,0.17620060744805185,0.1477453000919827,0.24428706299613817,0.1549101916526702,0.15424368170599656,0.19672847668180382,0.15786122120100332,0.14871980751162492,0.15374136178747003,0.15576234171028444,0.18297016434397773,0.1623898174879115,0.18491051636987282,0.3028571939637416,0.1775691517383342,0.2378405698857147,0.19314521338364316,0.2104062968546025,0.15332405188252238,0.21629599244207537,0.16246588312546362,0.1536853719710082,0.15834095344838714,0.15650288905278154,0.21687939106267298,0.21669249069934732,0.24233614245338378,0.19553474692565498,0.17024588133999863,0.15239064100999447,0.17452916504825822,0.15400525175939794,0.16733779813955027,0.18577684845036294,0.16960511025470978,0.1536076946119666,0.15626904427298843,0.16542722282322647,0.22066855911593994,0.15143455942451817,0.18799432952957126,0.16516121988764368,0.15867252777330165,0.18537351163328708,0.19049195829429988,0.15100706560237925,0.2538445909248055,0.16137055880458728,0.24557565102627085,0.19484442315903017,0.22715168851317907,0.16243624096684312,0.18880892656224246,0.18494154425697817,0.13340073221563872,0.17542969592726612,0.15378353542621861,0.1516941643038409,0.14918649083943836,0.17397580757814465,0.15621042266196894,0.15097544154684878,0.14913926711558456,0.1602706341318303,0.16693460029245524,0.179604073580931,0.15336855612855627,0.17747319832936073,0.1735255562246596,0.15096163179622712,0.15770617254154587,0.16558320845659105,0.12860358606081285,0.17621834820021207,0.1599420156960926,0.15447446502677248,0.2062377467838176,0.1679848910541494,0.15127675567311363,0.16351867830903005,0.15112907025757566,0.15339800294074532,0.1504741993571822,0.15163923042622438,0.13613108637067062,0.1509908913601375,0.15460843259643706,0.15273236590570508,0.14090522210448403,0.16865526505763662,0.1523339814105763,0.15521959437668376,0.15191415859394838,0.15561241520839728,0.1502332725722436,0.1525245674741011,0.15081025195935369,0.1656843781129081,0.15113723622058198,0.14993130439055752,0.20869973891208016,0.17528611743214276,0.15246186720100746,0.15157442779651345,0.15100799235190346
+96,0.3187802114273044,0.17643621546434607,0.38528882812806264,0.21695591988680557,0.32042349662332725,0.17864385391732682,0.3200708077943162,0.21145621163273326,0.19732900725692523,0.261130664581472,0.25729096341285174,0.14972843655448384,0.3098796253208866,0.2310723658978433,0.2217505908003757,0.3242330700572588,0.21755484129462135,0.2357908751461187,0.24754947854751588,0.2296436489115444,0.27485625842718814,0.26240068243055603,0.24218308941028427,0.2209209753124308,0.29821044956155807,0.35897580892767095,0.25920239499337117,0.2807915183242431,0.167394409547178,0.16534141239884664,0.1649304897423666,0.19235899210414045,0.16963373658724326,0.23828803699749185,0.17140952117389935,0.15298978101273836,0.15783683506958598,0.2314579354265654,0.30345011849251174,0.1684069810859126,0.2207230426225741,0.2223572591586779,0.15638701580842027,0.18666157664582927,0.26337517065984467,0.1556803735853623,0.1636509744528185,0.17470699228698708,0.15946169697752088,0.2346037766774008,0.21229729819717205,0.2142703899930964,0.1841093955014686,0.17700859962946103,0.15454582985971552,0.29550601333442916,0.17310314148870112,0.15718120553340093,0.2417668133452501,0.19467756402526123,0.14936750591128609,0.11446676385391827,0.21974368316198112,0.20722228204314314,0.15724577090313976,0.17249679451682973,0.2884318722108454,0.20157376087108,0.1924896280907747,0.2682865338191549,0.21133175372475993,0.1985189533978397,0.16143873045494164,0.2133233499895004,0.262508874123835,0.2010666312665119,0.1630320947782949,0.214841008685872,0.1721492963388563,0.19841524514512218,0.2604401299973602,0.13367275593667166,0.1247609455902997,0.1126606153568027,0.10143412074346876,0.0,0.15538444054649939,0.16512992932479983,0.2952293272526492,0.1572377224802519,0.15621957327897482,0.26517454072990443,0.24692079868221684,0.1935763463459557,0.21890050766164715,0.18833799428911333,0.1750746193578705,0.14170898066232046,0.17609290770489658,0.1904461922133362,0.12720917661713438,0.21658316696301397,0.22004356123406826,0.16139343713833013,0.1756655876347775,0.17284930092595283,0.18635413159862152,0.1684672552068784,0.13240582695226114,0.18333267336118483,0.2070818544347224,0.1888996760482414,0.1590369666643502,0.17386529237936707,0.18029450785988002,0.1427045755367636,0.10440236357367086,0.12376808914227565,0.213888097331965,0.17333560007371257,0.206724430837221,0.2531139936646463,0.27933672084636924,0.2734975901238391,0.24118040023861403,0.29831579311576834,0.1776729719276954,0.20152145065491797,0.17399377390628867,0.1296043463503423,0.16818054931013135,0.1622151507653814,0.24121181733921046,0.19406509408187983,0.19706186487827643,0.19504931734731445,0.30739918071526345,0.20544249207961468,0.1595755169047918,0.17854706531499928,0.18193598834878882,0.15220862919404035,0.24456604482060182,0.15801140214058232,0.15658342028663547,0.19878127341494903,0.1606684469128031,0.15285900577063444,0.1567380284530544,0.1571754675358284,0.18466049870708232,0.16532868674084344,0.1877002102554938,0.300644963837985,0.18053553821174317,0.24095844639457822,0.19832035212650728,0.2149469998564595,0.1571388278368028,0.2155008134819841,0.16764651935550948,0.15676568820524972,0.16120134102382006,0.15916221658480295,0.21897922338893608,0.21753048604357708,0.24446064093589304,0.197341466854438,0.17216590823158834,0.1562701718913792,0.1755243930675278,0.1573421475861087,0.1698541627814803,0.18881667815802394,0.17286415051465184,0.15775595101997958,0.15914215646103647,0.16974092408482008,0.2239998687389967,0.15604618165703443,0.19224197619191738,0.16830781354507943,0.1643353129680967,0.19083688638730142,0.18702250699477496,0.15690618500174416,0.2559875238815977,0.1651246971173016,0.22905973624657464,0.19349508092856932,0.23014113829661192,0.16748414007731402,0.1917478724606171,0.19011392447562384,0.1433222397745037,0.17643751453605552,0.15873445355612914,0.15664924753099937,0.15444270328377327,0.17579488866712534,0.1559644497639444,0.1551506369388261,0.1523610307919431,0.16321988366911924,0.17081964346514714,0.18246980503780197,0.15853402760967186,0.15493040416550835,0.17400746580821322,0.15595949408016077,0.15952785867435892,0.1690889085067797,0.13993917131383363,0.17952375651310382,0.1624195202797248,0.1589826412918611,0.20949090538132809,0.17180311698568893,0.15623763142676955,0.16451480485915018,0.15507166901696262,0.15783755230938684,0.1546799117645879,0.15640014519792242,0.14319285794833192,0.15529276478732104,0.15966592622293208,0.1578139429654132,0.14232788827182558,0.17261433594871917,0.15758933422227508,0.16075047591108718,0.15612027558106245,0.1588668417719514,0.1544278495117105,0.1571105235367632,0.1558586090972808,0.1703177764163101,0.15626027387460975,0.15577243498404877,0.21361898610036847,0.1758007071105869,0.15621830486979169,0.15693187081208793,0.1556655055900739
+120,0.2837554380141834,0.11754565004114574,0.369139192744443,0.18243213771818406,0.3130395378226691,0.11791075326509329,0.30232445992487433,0.1868362669347954,0.15223432742681417,0.22199849177464462,0.2150248682813153,0.06060769196149216,0.2873675673959733,0.20139464878409571,0.18023207388459403,0.3034600788576319,0.16353046503980248,0.20152520152318035,0.2107613002140578,0.192943476626994,0.24692401687218704,0.2400757141963793,0.20110435427211998,0.1908594167872603,0.32361374197930093,0.3443786619116396,0.25268353743795907,0.26023788763741607,0.08200293971068469,0.0800543889441341,0.08145531206613478,0.2311928323346723,0.10544702349572702,0.19262080348605157,0.12422998099539963,0.05115884394744549,0.05620646854890878,0.18859609942980388,0.2722097395726224,0.1023163105219538,0.19639104779098762,0.22531465221850325,0.128241435674852,0.2591049275378241,0.23327894282926925,0.04875259534811947,0.06064199053679912,0.09892189502751181,0.05234284800591532,0.1936938053017685,0.21366559726844936,0.3086632057216942,0.26290377186987757,0.2438948046808018,0.06403686674119492,0.2589189796289957,0.11453562377543097,0.06876747661562338,0.20564004766879324,0.1289926873063591,0.11549175071275067,0.15541175172181604,0.20384937228033884,0.16450289299669524,0.07383162677022184,0.11285832247825801,0.2796911778967595,0.141279520782731,0.12839321411636803,0.23473452117613514,0.16083759641498346,0.14455504723705428,0.06043161344449968,0.15538346031446537,0.22885748629170657,0.14335457037136276,0.06560818460714982,0.17138539702693828,0.09533990504177342,0.1670346768494984,0.23611694151149534,0.1917906357352227,0.12230411253480834,0.15180887546715696,0.1526490201871507,0.15538444054649939,9.313225746154785e-10,0.07190772307629568,0.29007297322289527,0.04956369716679036,0.07409970980487295,0.2339665440713681,0.20214492141064463,0.15445710917375874,0.1754202784624343,0.13123557422966178,0.11551302416647753,0.1208087174592857,0.1171591577532343,0.156833779110433,0.08330592271427098,0.16019764580575546,0.1722663494466749,0.07721206955357449,0.10117170875487844,0.10386110241597803,0.11504208690757647,0.0980482944526516,0.12842880939545706,0.1255016913501662,0.16271013244785323,0.1330424427608488,0.09294013021414871,0.09877651714621237,0.10941494877273253,0.20765284125507155,0.12786023697791862,0.09894092740687664,0.17190677847790464,0.0893809028678395,0.14910753310945038,0.2053642162201314,0.2388109334022405,0.23179278843553608,0.1935348074745917,0.26048243309246616,0.10646206438272844,0.14721418586238413,0.0958199137129293,0.10179729460127555,0.1224648219486499,0.07569227832553435,0.23095788981082577,0.1364525131840186,0.1396555486789745,0.12346298190250594,0.2718416959233569,0.154081702494183,0.044956006786291004,0.11816095179051789,0.11141685704086468,0.0509956671298775,0.19387337147030181,0.04671277506923354,0.07304826149352951,0.13700972192244804,0.06368802876933831,0.04876282679002581,0.04430654046364611,0.06353268366245511,0.11233809567768752,0.08845061842826468,0.12484648229102437,0.2794670937132431,0.13128885364363813,0.21277050740642295,0.14354273147727015,0.18080879408272865,0.06342270965723461,0.1642635441742907,0.08402497497511544,0.04863042786956346,0.06888506476529092,0.06766904542704301,0.16322401858401347,0.16342931222041218,0.19637052979950562,0.12612569318060202,0.09393568445286286,0.04744231422387873,0.08984963115656831,0.08049540430162051,0.0974344542577511,0.13275521681355232,0.1046199204319341,0.05349124011760254,0.09874031706278474,0.10350314619497021,0.16960144118499,0.05360280532382672,0.13596359060989618,0.08506041529668022,0.0757445290340117,0.12979853620309317,0.1426454974101086,0.06840287048024252,0.22202987168530822,0.074679192984985,0.2136121280303481,0.14436423597652723,0.1800666555892145,0.08024766135640153,0.12626285295000764,0.14059614824076122,0.05863897742518167,0.09433935399071396,0.057886144871796566,0.051861847276259955,0.04722257048208503,0.09953713200144129,0.059811998327151526,0.05138275819042094,0.07227362841463629,0.07161882209313215,0.08822742981437133,0.1214038169369964,0.054407719729123366,0.11877956623646566,0.09830767448293044,0.04684855454093992,0.09582762809694864,0.08235133803833225,0.06845598752736803,0.10648484698612434,0.05504124825385366,0.06685976348421924,0.1607200649564263,0.08586372304054132,0.05124160492220887,0.06736115186005129,0.04138431016992534,0.05301846602310133,0.04556576201188954,0.049454625202903085,0.05096846843313417,0.04912280721778846,0.07223330759717739,0.05207044442777575,0.046471246723865094,0.0898888772424771,0.04805107637661354,0.058715969339522965,0.04972583688648071,0.06522985352934359,0.044129296053074564,0.049236106190988456,0.045331610861726025,0.08358847124834069,0.046321666209985166,0.045327930312420724,0.17101486891638992,0.09830191817109148,0.04206718592722521,0.043551631755407584,0.04628933710377063
+80,0.27438624870375405,0.11325649604555392,0.3606518172319305,0.17735790586967762,0.2957271332871867,0.11252190171175562,0.29600212516574853,0.18558652222719593,0.13701712384432377,0.22105983784602734,0.2073048676106859,0.07605186205422279,0.2840921940129711,0.18481342830809527,0.16946580641277306,0.2975467627208804,0.16738742315864863,0.18911980648186352,0.20952825086929108,0.1768866397564262,0.23796428461742777,0.22536138908881898,0.20208503168869757,0.1901251409583769,0.3133555057638865,0.33603415308131407,0.2476659617248936,0.2518093583627565,0.08901987675457751,0.08969323707384899,0.08939415415598709,0.22724236183321453,0.10864550529164739,0.1888463483990193,0.1328849205757684,0.06650913486004313,0.07064853902516316,0.18938609608461462,0.26338356277883807,0.1114426254349358,0.19312221387938705,0.2216339885503562,0.12780233626508894,0.2643492399950027,0.23166724349988946,0.07040442154958398,0.07549371674868632,0.10452285690385571,0.07764959684229254,0.18459115905220858,0.22506289044422584,0.31131978013615225,0.267244429653055,0.24930010194084026,0.06677411909910248,0.25288272865926686,0.11562430169797061,0.08671021251199011,0.20201976192950674,0.1340110617008989,0.12162034680218203,0.15976078142553832,0.20224095615424423,0.16573654354495596,0.08090121267259154,0.1137842618974694,0.27399397311064805,0.13703241755986792,0.13132223161944725,0.2274729617115271,0.162225815565483,0.14777017164574874,0.07724799008403525,0.1532885772061791,0.22280085918860537,0.14383543260334372,0.08011889452357,0.16846615915388696,0.0917476337596943,0.15980957111894548,0.23010064239857733,0.19990188512923981,0.14009287611133375,0.16150975750371735,0.16106997431999368,0.16512992932479983,0.07190772307629568,1.862645149230957e-09,0.2851478459086311,0.07225135909049885,0.08422332266840389,0.23272735071376732,0.2030210736092053,0.13751500863028474,0.16137156175083606,0.13332033069371185,0.11944620877613472,0.1173316475853961,0.12505031577979026,0.1608938490650122,0.08898489339401969,0.15721217751240704,0.17168938927689664,0.0799322290916072,0.10822657845986146,0.10744881604953706,0.12349868913728596,0.09907163309166007,0.14044862718900203,0.12479839550712614,0.1621554738450516,0.13183342314771926,0.10554316477726636,0.0936451241684099,0.11335610624962984,0.21751411269252452,0.14277600563767834,0.11031092582646823,0.1656723713813346,0.1000242859365798,0.1554172859539242,0.20235964978397827,0.2335248786151422,0.2241789438588207,0.18713749022384724,0.2531333768517808,0.11838279231044069,0.15436692972178492,0.10350295424117822,0.11769844434985,0.12683951771571306,0.08507963453966066,0.23119709331358482,0.13487077401465766,0.13896859901413403,0.12428086606102261,0.26460300808703185,0.1550167378059853,0.07245286970297335,0.12874819181559816,0.10958780253239214,0.06822122427972521,0.1885399614367395,0.07509744133253236,0.08144612052826361,0.1455167056314895,0.08207547435103929,0.06477332828116081,0.0670156484590144,0.06543454209621327,0.09932378525080172,0.10103990373776535,0.12868462364429523,0.2742506071278224,0.12811080292764404,0.2100903357794282,0.14136232144681837,0.174331482303949,0.06603827182481908,0.1698119983357934,0.08843287074648133,0.06504536325854153,0.07770144013460903,0.07415570181155022,0.16977583480701117,0.1703957854386465,0.19962433488103506,0.14058848573651173,0.10463562135940452,0.0675008030647704,0.09981940719521479,0.08607017217877418,0.09736931877503247,0.13565075036793728,0.11112546019803708,0.0686355196373259,0.10709428171533765,0.10851933952600341,0.1742488126961168,0.06916527314600197,0.14338781860145636,0.09380008038286107,0.07837656399942991,0.13649343958726806,0.14985472492688362,0.06885692934092397,0.22253260722687726,0.0859802039200338,0.20540676977181208,0.12213205828592073,0.18191362452132645,0.0904938131690745,0.1245199222245918,0.146015822890639,0.07907871674411672,0.09945310392587373,0.07316409842317943,0.06809488328132855,0.06859525657718832,0.10714033139396303,0.08843315795243767,0.058081810210967665,0.08271429488017423,0.07075716499321354,0.09668327388866417,0.12155208728250619,0.0693722793856473,0.12427540592609998,0.10912512495193175,0.06508131839337596,0.08702515037044002,0.08520357853669785,0.07511059765550514,0.11110640806305687,0.08404418727745841,0.07557423254855723,0.16073029465916716,0.09691431064851465,0.06852744506305103,0.09136943409005485,0.06395770808329719,0.0707812651132779,0.0630872472489428,0.06617013267248648,0.07067981697817104,0.06429926924969627,0.08334840948262505,0.0689109091090467,0.07182572829282392,0.0994963844829659,0.07058205087380029,0.07628733441052446,0.07639433771668659,0.07082060925846152,0.06632481200553272,0.06695776575395872,0.06531471128565709,0.09478129190020698,0.06573394883503524,0.06499034163966917,0.16901450640232416,0.11556498250032873,0.06388007165753208,0.06764681412290417,0.06590714539217801
+173,0.3954194833568533,0.28772035607796376,0.4115024742997101,0.2991061529382488,0.339764122215987,0.2746260110528416,0.3350610635830375,0.2619631476584365,0.26646489114846394,0.29870592934238094,0.28619804582205904,0.28884123550722896,0.3613055519240975,0.3110383738287271,0.30542625588506006,0.37563573400916656,0.23291019449199107,0.30545859278913606,0.33817528224387206,0.29236580452050526,0.26305438554953925,0.3257672357866259,0.237153074736161,0.2829026534602362,0.36098284946154696,0.38298439901900017,0.30318543901295697,0.2925526436456674,0.28873014928269786,0.2906837703133032,0.27697381465080073,0.3249232031511765,0.2879234789095192,0.3045266925393716,0.2827695261078821,0.28186385060517083,0.29373878224147176,0.2856374104911354,0.2648019461719745,0.2855730659226054,0.2740213179189415,0.29816282919787823,0.2834906102908216,0.3646307600267948,0.27930928852201564,0.28590071361382324,0.29626994611961005,0.29415984995877176,0.292853563959021,0.283763477834198,0.33365712195928143,0.395866599785159,0.3655828148012034,0.3529238188827806,0.2923805013423041,0.3748692213776563,0.27283108897504654,0.29182100846912945,0.314582859938481,0.3012922770680648,0.28826427137887184,0.30805494282447515,0.20900954478898812,0.27353353530099667,0.28204609049901314,0.28386984784662145,0.3290272401230528,0.29926654845683237,0.2953209487765003,0.2792732450738656,0.3057659943625179,0.29751925792059136,0.29505997208405293,0.32343838433846367,0.27688546251653345,0.28049902014975886,0.29197348324757694,0.26139385198493637,0.2904807678331759,0.2578722088531926,0.2812298222499841,0.33483881544583,0.30082245937419466,0.29725585620106365,0.3114762985141077,0.2952293272526493,0.29007297322289527,0.2851478459086311,0.0,0.294983377766394,0.2709812708155925,0.34280998025153286,0.2588962078414722,0.29804266325002515,0.2845954935939807,0.2822682947520242,0.2937054276735698,0.2778776983616603,0.2602789732040992,0.28298980946030544,0.2874758039763615,0.29768379500992775,0.21488753340317068,0.28454351690826424,0.27633597886790057,0.26392268578472056,0.3002194920990162,0.29592056934873207,0.2736889901833322,0.26259694308106696,0.29955447265254675,0.26818553383843086,0.29213865345119217,0.27863560696814554,0.2918681591428691,0.33172166164304673,0.3041616340246354,0.2781392283878617,0.2744100172046236,0.24919319062298015,0.28631009632640914,0.351992892804482,0.36693208424674306,0.36704049488194757,0.33734693246571884,0.38245831572220024,0.2951993089061085,0.29849241849839314,0.27985658548465825,0.2788363475464015,0.26780595655985767,0.28654105272419067,0.33280240863172933,0.27899442774319655,0.2572063019602989,0.3125805657722125,0.39053906349595846,0.3124671471350735,0.29196314164457454,0.28499401120247675,0.26228841759295046,0.29239468272915986,0.34257781716185465,0.2846272609419916,0.28070565478288384,0.30597764838129776,0.29098468779382125,0.29037069022507717,0.29195066522198637,0.28058187403552787,0.28007747506851055,0.27620961674592776,0.2411853199459912,0.3309116384746857,0.223401653005954,0.24724200172911098,0.28806739482765453,0.23169016667944056,0.28616470471838185,0.31140135932491014,0.2725763987873771,0.29202995367433665,0.29258488981962993,0.2914588939944842,0.2562699239190927,0.25756288579498876,0.25141618417733586,0.2570465020401504,0.2660512843700998,0.29533755812031476,0.30126945169206343,0.28553832667342693,0.27613597074938645,0.2831190520781166,0.29129972443969004,0.29616348262731573,0.28850068268113455,0.25647452706574486,0.30523006038864214,0.28317364064216005,0.290842046568181,0.2744410209456216,0.2849985723031726,0.2895410919726958,0.274946256729979,0.28183621111523116,0.3126325806857045,0.28578056691289466,0.2799575194457602,0.28590432064434457,0.3160040293301683,0.2926542263201063,0.25061158977572395,0.2984823352002268,0.29449891376218823,0.30473168666939293,0.29604110400573974,0.28241932782802054,0.2956867550719185,0.2689004186342875,0.2891617567958034,0.2916607445839585,0.28421113657770325,0.2671580855174537,0.28044887534279145,0.27868102061643535,0.2875879507233239,0.26089992374077575,0.27741354262340256,0.29607133960255566,0.29053846828259106,0.29292785038010044,0.2939294471971157,0.2586254277716101,0.29237901451339454,0.2787501883072913,0.2270391535367866,0.30332414629411264,0.2953752729102724,0.2851362904925294,0.29369570465299427,0.2942277098496131,0.28895029126481236,0.2953475852284392,0.2937912321015532,0.29367977226319586,0.29014387403658326,0.29364322266784026,0.29256630195867755,0.2988495295514297,0.29246955906549627,0.294478528915493,0.2920624733872134,0.2747365370353633,0.29284337972038493,0.2918239054745844,0.29642246483392076,0.30257378642022953,0.29622284645424235,0.29568814009847766,0.2722817359495717,0.2967595803797139,0.29286480890671507,0.29462018679517277,0.29448976334646526
+151,0.2825484965266369,0.11587722035158074,0.371773614887745,0.18352959855050843,0.3140783113194988,0.11775486555224206,0.30378724962243137,0.18860329651173594,0.15452150521826313,0.22063945024195422,0.21828140980160285,0.04879659518369728,0.28770889913435027,0.2007294064343164,0.17842837571361927,0.30375085282806313,0.16657381867041457,0.2019235460002527,0.20986794506943482,0.19344449292594726,0.2435058187932755,0.24089513265140136,0.2017473375945413,0.19089327772859369,0.32542113517239973,0.347115656077879,0.251850414490776,0.26573651271808446,0.07779088002291452,0.07609867735330758,0.07896889178355167,0.2290966379078662,0.10074362151188605,0.19330288257795328,0.11624402046202606,0.04411328769513344,0.03791303994356461,0.18569344127660325,0.27531800076904217,0.10319513590802258,0.19447438948255533,0.2226180029168605,0.12568379279664993,0.2629330366135474,0.23636984449733847,0.046224527873796675,0.051545453519383826,0.09517832578399024,0.05282340976664005,0.19399740534630702,0.2195585830603099,0.3104987831561851,0.2649706290162475,0.24618519564767125,0.0507539245938467,0.2594589929812863,0.11460014559639814,0.06116807237655415,0.2049001112643031,0.12480387960558717,0.11573492349350648,0.15100020825697438,0.20573379351958113,0.1633999034888442,0.06903399752697703,0.11202420243264294,0.2772054455265752,0.1433151076016729,0.12644699702630283,0.23126304332990744,0.15849967951562274,0.14617730976145718,0.05466741553601896,0.1487516495953832,0.23029140929557324,0.14547028972225262,0.05763600931523277,0.16899151569986826,0.09672929249923679,0.16805497962058205,0.23689079627631107,0.19570423587814526,0.12476496306586769,0.14900552755747076,0.15182891876530213,0.1572377224802519,0.04956369716679036,0.07225135909049885,0.294983377766394,0.0,0.08068576020107464,0.23399196189233432,0.2066072855221147,0.15604032884899316,0.17435582985511194,0.13209691797229695,0.11091321430813371,0.11579871650133529,0.12062668817209718,0.1570716141755776,0.0724059739140092,0.15747960551171938,0.17283186871470646,0.07161006050825304,0.09584590475604728,0.1089815403032066,0.11503749693569189,0.09643127646549587,0.13134205786179398,0.12555185489935292,0.16346139997825732,0.12721081726079972,0.08969627362895141,0.09778947402745262,0.10602767684003625,0.21158086285964245,0.13469784743151264,0.09796499482102143,0.17162924694956982,0.09531549631047943,0.15649508984320923,0.20137718745382957,0.2382809239295736,0.229453436579959,0.19268048432540447,0.25702737739730813,0.10667917246829646,0.14699369882402274,0.09400997812945652,0.10256433415118243,0.1222882917852648,0.07013419902962598,0.23036964692782746,0.13790855178601713,0.13073363286981068,0.12238703729430887,0.269391815155641,0.15139514445610602,0.05010151565409432,0.12211829166640929,0.11335751879767415,0.045494153760071085,0.19362675083755654,0.05115949428534035,0.07084648773773086,0.13904627547626652,0.057199024974536286,0.042926332868836695,0.044846102923096424,0.06217897812263804,0.11491161172064566,0.08509762414108561,0.12725233999005045,0.2820692043222259,0.12826580759619033,0.21435403409169262,0.1412090610029312,0.18142304848079904,0.052792616542199064,0.16540845348028757,0.08040286579797508,0.04797742558113193,0.06515334168167211,0.0634604865328102,0.16321030000150855,0.1636755333215605,0.19657439574197616,0.12720365589847202,0.0877510376186488,0.04306004633857217,0.09154590688552366,0.07510943476465029,0.09554413885998166,0.1275439467149007,0.09719365093091781,0.04130971809205843,0.09372733939723578,0.09746237976327171,0.17049360862796895,0.047911994908069216,0.1364685789805825,0.08292289846742655,0.07006861405085321,0.1297061332368288,0.14609709521687309,0.05733772712875944,0.22368451716703536,0.07391898920956579,0.21475697166499402,0.14732050965435145,0.17920163649920667,0.0647229478208398,0.12451184831205928,0.13884747454717458,0.05886355362903821,0.08777097026100031,0.049949657671713305,0.044345810843586235,0.03821997954797097,0.1057146957969444,0.06513052290271049,0.04424420933888249,0.06866249804761762,0.07113672750344312,0.08587377472992845,0.11766890687449454,0.046933553796886573,0.11759524218992155,0.10772557340940854,0.035361225664027725,0.08933245714573651,0.07402705832679152,0.06057825569550717,0.10424429602986797,0.05616290840302232,0.06738442531577042,0.16153888179603387,0.08122593616332865,0.040917680702156345,0.06565186244433166,0.0350733294366122,0.042860276530098156,0.03977554360323429,0.03830396111300356,0.04780219307782796,0.037837630292069685,0.06560020118560236,0.04237229540533373,0.045421234628526014,0.09028035701753179,0.04217921290756559,0.05067347461674232,0.051574838343500774,0.05631103537856618,0.04030173078985891,0.04558478647330232,0.03449154895469322,0.07751695993097978,0.03559092741182579,0.03511552713255121,0.17172902602262627,0.09859751809661525,0.035106884616958406,0.041369854680303304,0.03479939963938156
+171,0.28437986976337554,0.11211837072310211,0.35764470603490883,0.16613684233168619,0.28596844072908223,0.10901365092501966,0.2798787453826188,0.1724157042742458,0.1338420897489073,0.2133257959019478,0.19984440705840653,0.07523021626397443,0.2581963812799993,0.19790478869810538,0.1800998143200193,0.2770406974910863,0.1477363572115837,0.1954015176977587,0.19187030958182436,0.18086774805054723,0.23326070868418075,0.2325040972857719,0.18638775459231158,0.16886840903297676,0.300437031079304,0.3287122786006578,0.2321459944370565,0.24256059569311567,0.09129175902622697,0.09332630902699092,0.09197963324339689,0.2189331826863146,0.10496773233637961,0.1845809856530258,0.13920986800855156,0.06799628363887891,0.08010751905965213,0.18147729500806742,0.25166006389562046,0.09913241334192742,0.17508447278602246,0.21510409895863225,0.12211551230649732,0.2560490452191465,0.2156623295089137,0.07393817361862395,0.08997952639483608,0.10986465752252653,0.08305362979200244,0.18822049315105946,0.2153318398781381,0.30504702839453524,0.25612465011484414,0.24488855843173168,0.0854350810824564,0.26010604465654635,0.10419465678929588,0.0821634893208223,0.1933930566934598,0.13003941566336724,0.10205959239524405,0.15274504719816404,0.1939032466128886,0.14274786207616663,0.07691460596414379,0.09884236929074106,0.26673425509016535,0.13821071726035938,0.12950446973613766,0.22115557489821136,0.15976392411510199,0.14131195054211423,0.08615696072696198,0.16641528332638394,0.20424415277292993,0.1340232055947629,0.08875144828034193,0.15617790953934643,0.10254605405505803,0.16557058440637412,0.202573913508089,0.1955077567670947,0.1389776066440232,0.15575514367200458,0.15318406649785588,0.15621957327897482,0.07409970980487295,0.08422332266840389,0.2709812708155925,0.08068576020107464,0.0,0.21038036387401735,0.18166869944848565,0.15703855048590298,0.15251440610291145,0.1185781584450797,0.117728421588004,0.11877628654346538,0.10974373476605959,0.14938881058112216,0.08963529107979423,0.15380724288891223,0.14840401606708672,0.08629130833382138,0.1007963304518854,0.10957404720453924,0.1260671077665472,0.11368711089993527,0.13245474266966828,0.12184519300116513,0.14649883785665513,0.12908481315317594,0.09992392607543306,0.10456035716156321,0.11320550243371853,0.21195376411195452,0.14095655614935548,0.11118545726214384,0.15250657665460532,0.09326344902996356,0.14193621438182755,0.21078446427976114,0.24132423415295748,0.2356253330418734,0.19128926320605324,0.2633646289873072,0.11417774831000721,0.1468406977150524,0.10251359771361211,0.10948771980660627,0.12545195679850696,0.08544281500794025,0.2156190687065575,0.12334142346755288,0.13770916927136725,0.13653207074331986,0.27347963702457456,0.15779034472192488,0.07757571386885495,0.12372170064245609,0.10127672037852108,0.06929467330635405,0.19603150939164002,0.07723216810269791,0.07299674798506874,0.13495433386231448,0.08718253923797119,0.0728702453315757,0.07522484181400488,0.07647959534936195,0.11865885897563937,0.09485772955364591,0.11872706996731365,0.24231459545699732,0.11294283984246312,0.2015692736781793,0.14256601235049082,0.14807650653432627,0.07659799652634869,0.15668866762800152,0.09656147636220876,0.07473841204760377,0.08373573079586934,0.0822353623675123,0.15373201769220915,0.15372157209941742,0.1848983694849518,0.13145704564635446,0.0956674152808729,0.0739054682689964,0.10547932335448758,0.08745650825518304,0.09855687587896445,0.12362546455077683,0.09749507181110298,0.07999474101697163,0.101620410374105,0.10449295674191564,0.17073652520988547,0.07234774725133489,0.12786242445785828,0.09316248572250661,0.09013718217382263,0.12575193122098058,0.13203684589938985,0.07954114565862731,0.20168748911261253,0.08771280682123377,0.2058221114574245,0.14428325685233656,0.17954824894396876,0.09736542097076029,0.11106860361591017,0.1323290586463347,0.08086491655949613,0.11203494184568605,0.08243012960819537,0.07467367769735454,0.07562265352319508,0.09914733918365944,0.09065361041297354,0.07372180799473634,0.06910712178313214,0.08209072907380441,0.09825301698848124,0.12060085821068722,0.07792759602514385,0.1198515265471793,0.0906340007622973,0.07532505886984493,0.10734020297420595,0.10140466153334489,0.09081153031533296,0.09921194718701075,0.09015882875752866,0.07450784058138443,0.14080436531105764,0.10404354752389944,0.07721044433428698,0.09262890175386981,0.07255364166286063,0.0797529117757824,0.07151073744344218,0.07582835638540074,0.08056436077470756,0.07584072644202142,0.07997052643001407,0.07881912992554317,0.07686396802732245,0.10323173066997433,0.07879313857204288,0.0826920182282691,0.07948428290285932,0.07622981932973028,0.07106248200800441,0.07578901756318324,0.07566517956828418,0.10207687646726142,0.07511217554519567,0.07458343572613027,0.16169364267866793,0.10785539006497265,0.07380806030084261,0.07541501458527658,0.07645629452870539
+32,0.3526315037486314,0.22471891312603645,0.3985053167618735,0.21568628691320577,0.325522594153795,0.2256208866978123,0.31356877176870473,0.26178699953748674,0.24104802211708576,0.2911301602372816,0.29413646457355835,0.23095402231299964,0.13251990788160836,0.2727871660648716,0.26524991914138296,0.14901012562060065,0.25181058547661606,0.2702780561508566,0.12162748626156414,0.23758698597999592,0.3031607462569021,0.2897791439225271,0.28027975205637495,0.25041858447284043,0.31817986572099205,0.37684516505572424,0.2907689820307971,0.30679925236737593,0.23566410721956266,0.23472922514123445,0.23380399789011563,0.2905684345530529,0.2213399991641986,0.2728522958549956,0.25222393156770917,0.22862531475669026,0.234299693373344,0.27515671561725163,0.327795795646197,0.22513979590474292,0.2051667347841737,0.2902739084154477,0.23985887041777776,0.31856259112350843,0.28451597508985005,0.23237293515400118,0.23713195887081195,0.24563073768244828,0.23548043256226125,0.27890663386517395,0.20468585932195466,0.3553501995354581,0.31747754265059286,0.3065149341713906,0.23436350614123008,0.3332207843237566,0.24101194664017567,0.23141589724854672,0.27443821046265304,0.23982094826125247,0.23666116982785404,0.2603115422192555,0.26937175448198974,0.24578233132696953,0.22601760318634131,0.2199894578033365,0.32695304085198457,0.2563546607140852,0.25371108242419593,0.30058110401165117,0.2581293616419837,0.253379366904315,0.23615527658032623,0.2750913145794602,0.2725009256935747,0.24425931043458,0.2352887417673997,0.2616718433095985,0.23769735272003614,0.2677637856577445,0.22339649031333944,0.2838150161521013,0.2543081201525248,0.26159616026996446,0.26407107292252907,0.26517454072990443,0.2339665440713681,0.23272735071376732,0.34280998025153286,0.23399196189233432,0.21038036387401732,7.450580596923828e-09,0.2601428925120952,0.25687033337185233,0.18407284479115388,0.22104464687691253,0.24610080884540514,0.24310753889279973,0.2382155052023525,0.24548163904515913,0.23122820735085797,0.23738022466294678,0.2602787705990668,0.22981387693985195,0.23603150333752743,0.24043925794349683,0.2505851886701027,0.243284264155967,0.25059305533250065,0.24591146766537475,0.2346640586991812,0.21891015536349873,0.23684588296512513,0.24157214070090804,0.24141531574672656,0.2978618890968664,0.2558653444474844,0.23411306001718438,0.243200827949237,0.23847981629758477,0.24296020542303676,0.29886370701283516,0.3207036134785984,0.3187227299098252,0.2614128490088326,0.3369162681873966,0.1963618534907705,0.1700807792524149,0.23749307603636963,0.24483377277094223,0.24767678338779958,0.21333644316803554,0.1625927894638804,0.23108671670192574,0.2536751749582234,0.2586349667675773,0.3467098452552533,0.2587175331258276,0.23505835606999262,0.25098379404913296,0.2361827262013992,0.22894844805303402,0.29192367621092646,0.23110783632173554,0.22173541198173108,0.1588916999390392,0.21644671442279945,0.2313423513523135,0.2346935482315518,0.22883256561990373,0.24176696250477922,0.2392890506803232,0.2492478583048204,0.16770627143844394,0.22304611797419735,0.2833372219335504,0.26074819745954225,0.2535689411168721,0.2272857044167764,0.15335250591753352,0.23802780288211794,0.23304077288503344,0.23475057041027106,0.23431109986633739,0.27475498120245795,0.27444890080957685,0.29297030110584793,0.2542370593598786,0.24230141030745467,0.2284324567126135,0.24443755184118288,0.23220717667565674,0.2358279070157446,0.20561917874592173,0.21107344860643126,0.23463109001178659,0.23758782634776307,0.2381381954976963,0.2534428722205509,0.22904282312542742,0.2433782284520039,0.23260023884701425,0.2372123317273436,0.24281445171899257,0.2447303827196378,0.228088955328512,0.2731243937715038,0.2345375922887777,0.27987011268864515,0.2495983365230178,0.27218330019713066,0.23770006594053442,0.24160273981224142,0.2414429421059836,0.23155104909721128,0.247873455909835,0.23524422433772876,0.232023851319746,0.2270827380585181,0.23891764506960322,0.23728730704015885,0.23172410041178257,0.22704655653707606,0.23016708009638284,0.23302335343907046,0.2356052681431818,0.23415489766040967,0.23275006996247657,0.2272896735357551,0.23275641264813826,0.2398978339381885,0.2406259892940318,0.2358878636443982,0.24486669667816469,0.22999572293162127,0.22773297567891992,0.2588189042335633,0.24343731884445188,0.23098960217310024,0.23029247444973072,0.23212393172985876,0.23419008055501908,0.22863426293582054,0.23336863370798572,0.23375057633371749,0.23214275318375863,0.22218515646280987,0.23142312845201377,0.23372374118248132,0.24269398353357297,0.233744278576366,0.2350777035607595,0.23566893665550143,0.22987484227676117,0.23205977637609485,0.23437290480783396,0.2328824843474278,0.24243338850478616,0.23300340834974612,0.23217538461611886,0.2698217639977594,0.20610712087168553,0.23283845769313707,0.2306045887497475,0.23310752939480345
+244,0.3378348207850779,0.1761986232271928,0.3397657255767508,0.21091546635060557,0.2786142255449277,0.19794310837628426,0.2911953514429646,0.23013972320812484,0.2011379267852989,0.2401755531496391,0.14028187111501422,0.19365516376347264,0.29116397073958256,0.25689452912265004,0.24777681549128983,0.302640514662492,0.1552478387514934,0.24508449693345585,0.2444273938007045,0.24150947127335348,0.25415719064634906,0.2818712970994589,0.13750176468064831,0.2328781851360456,0.31142340579226563,0.2844220912332671,0.2627310295926957,0.26717421147560333,0.19246890646033576,0.20101059617579173,0.2076886505562997,0.27105152312853964,0.21187117861891994,0.21344016030410126,0.2347847099180976,0.1997260515272549,0.2064541282016317,0.2314352128510626,0.1646648503473632,0.20265998404410407,0.23883158715147682,0.2619329590994619,0.19488353961566982,0.2977559402615257,0.2633240948208235,0.19311557023916362,0.21049767550518322,0.21894172348446808,0.20509806753212542,0.226785317389936,0.25863306817996984,0.3491080623323386,0.3075837178597125,0.2974391138963921,0.20688295368141243,0.3225732741541036,0.21679025085713244,0.21288773322051438,0.23971113560657736,0.21836137590674026,0.2194382487825148,0.23907624185919504,0.2593081872068909,0.23227788928101278,0.19937877996061973,0.2084161358748748,0.299570540712706,0.19616387018832213,0.21464111997480226,0.2632711547416642,0.22246504430307004,0.22178196455988508,0.20714441883610482,0.25268161284740925,0.2327126923318966,0.22881030723062265,0.21049829591001865,0.2191653923575082,0.20426091833532534,0.2454056649405771,0.25335637948119794,0.2683084094109236,0.2317186733318172,0.2427711829180441,0.24550047595155886,0.24692079868221684,0.20214492141064466,0.2030210736092053,0.2588962078414722,0.2066072855221147,0.18166869944848565,0.2601428925120952,0.0,0.23879532723589303,0.22104566459783948,0.21210478980081834,0.19971299358447783,0.2157400134025545,0.19391379180588347,0.23950297152881855,0.20815576574003225,0.23452309881886968,0.189378119668471,0.2039893141574844,0.21192509034218351,0.21309558551953642,0.22637978310193888,0.21595019924400097,0.22953253290662448,0.21322790629644167,0.23081542603167127,0.2179774758837776,0.21052256201055164,0.1954483350189982,0.19631799894961546,0.2814688502918303,0.23268003051804464,0.21617172190636308,0.2269147593528445,0.19617318898027875,0.225901321913414,0.28190544512311577,0.3046274673621219,0.3024276831419187,0.2610685414353947,0.32325064775716517,0.20761002602262432,0.2255249395440428,0.21141679500568478,0.20535475513520218,0.2230985334889498,0.20510900708355778,0.2700501005142665,0.21925521857736005,0.2249330936797368,0.23394100732741316,0.3320117479910018,0.2415439774144984,0.20057061253800462,0.21606612770556563,0.19232090053504924,0.20536111405432717,0.27465697345224466,0.20078537919204056,0.19825235984728942,0.22217238205055473,0.2065195222441987,0.20063257948178115,0.1989050243459916,0.19751021063149982,0.21436714535193546,0.18013403859363564,0.15506451129886337,0.28611877024121296,0.1957204433351721,0.2538559857352404,0.23698677139624627,0.21953203749287675,0.19021161440594167,0.232509175775058,0.20311697585550206,0.1977865068297741,0.20484188951227014,0.20766794816817244,0.15285946277266832,0.15743312707725865,0.16279167387529006,0.17021147648631976,0.1671591827838672,0.20445329588556485,0.2201683794446167,0.20005214675939192,0.20722330395493663,0.2183905396984349,0.20851680744121243,0.20739510449153303,0.20968818485488763,0.20982492795685145,0.22971597985813028,0.19857290970109523,0.21891343100556424,0.20813045201526098,0.2082451494147453,0.22276728301819523,0.20239366506498327,0.1977228013451283,0.24967648899116449,0.20572087189592608,0.26558009789193776,0.2263568379335691,0.2272141505833072,0.2087143002746099,0.1649307444347183,0.2280448196724145,0.20808312983951305,0.2224016535494212,0.20749780153659664,0.1967189568486946,0.20444740795308125,0.20180366990813367,0.21003160811002244,0.20336895797891918,0.20172998909126633,0.19820032161869694,0.20915235672757246,0.2178535883401512,0.20033817736211915,0.2146806145983935,0.21110533336107293,0.204752819510203,0.21597725893872188,0.21655904290034264,0.20974827975738974,0.14911041104278608,0.2095262306173211,0.19753004856006046,0.20971488909971842,0.21703866136778724,0.20645840651541303,0.21094901895423612,0.2032776816156106,0.20665223481924136,0.2003069861885497,0.20493493826134135,0.20704693451030032,0.20467631040354387,0.2076255180446935,0.20659444515708483,0.20492602583072414,0.21677607004674043,0.203615147451024,0.20821169229657657,0.1992228577952056,0.1978981857747194,0.2036378316013258,0.20089081856909355,0.20550709474155002,0.21616141782503823,0.20546848352360925,0.20354491177747613,0.2279750661683518,0.21305347060458818,0.20338674771501566,0.2046652656640376,0.20477502305963075
+261,0.31021381931869974,0.16091384683957727,0.36337041641772494,0.19881494892088586,0.2851832040163694,0.16223787825091382,0.30084957604888635,0.20921216876595275,0.16551773661099475,0.24359885218408237,0.24181601070210731,0.15461997281235712,0.29676122501606084,0.12016008345256295,0.13621945354947085,0.3081911990885449,0.2113581815081155,0.14431911461004038,0.23670127306144909,0.1359566572768993,0.2509625756582401,0.1554655364014834,0.23174230098452733,0.21692896103296755,0.30147750261755785,0.3429329394471786,0.24721157998354457,0.25848110805667607,0.15789750323590246,0.1581864078523007,0.16163573731133965,0.23696369063736727,0.16863733395125313,0.2202045714600424,0.18918817205275068,0.1508887426750196,0.15459790942394713,0.2202136630023651,0.2893601669345515,0.16508815803436672,0.2216283634840523,0.2319324744818363,0.17146773131324491,0.2764178115609245,0.23924465396745573,0.1522521493389767,0.16043633674638494,0.16979581042020087,0.15834111669103546,0.2176663924711657,0.24539317313376668,0.30661520472352305,0.2795514597230351,0.26504286966371843,0.13522446527270962,0.2911341332899901,0.176863696158639,0.1628258772005643,0.2087897384615338,0.18792412992230678,0.17462505569799774,0.19422545195407762,0.2287117073115474,0.2026472817010982,0.15078105231250424,0.15679077146575396,0.2795972304009928,0.18123822391163005,0.18075505526914784,0.2511459389436181,0.20227935166524147,0.18841622522267007,0.15794304457499792,0.21012049385780524,0.22828736217844595,0.19146677254549235,0.15975438180824547,0.20301526052177757,0.12510620634786843,0.20544811063035534,0.2351765160755751,0.223467423888958,0.18298339382134926,0.18242891970916433,0.1938249773158755,0.1935763463459557,0.1544571091737587,0.13751500863028474,0.29804266325002515,0.15604032884899316,0.15703855048590298,0.2568703333718523,0.23879532723589303,0.0,0.18658698788894232,0.1818327313702166,0.1735521064809562,0.165989456467722,0.17679286539827566,0.20023474761080487,0.15510771517945615,0.20417075039369523,0.21468876878512672,0.1526384220341298,0.1712105861325407,0.16561802365602607,0.18135364889667258,0.14307541434204857,0.18504986734200157,0.17551629439345678,0.19757642764175656,0.1748349428915472,0.1639437115723176,0.15740436113573827,0.16816717041920018,0.2371911627744176,0.1824296226038763,0.1608831939260882,0.19651299138883238,0.16313876316125522,0.19327800832610276,0.24759941129596544,0.2734547649199244,0.26985858035305593,0.2315601882775082,0.2928517872121895,0.17163710112361558,0.19777969817760957,0.17012611190929622,0.17213422234726988,0.18474951085393262,0.15949029277686708,0.254625079123276,0.18722556928300005,0.18990920854984458,0.190366401714586,0.304394152403409,0.20172276492139296,0.1578124313023247,0.18675443124715113,0.1711574697309161,0.1533762929611606,0.2393341122294444,0.15593717032178017,0.15754681263636877,0.1924718222347772,0.15892164136373793,0.15154759996322587,0.15280341890301827,0.13877616676708696,0.1394312703110073,0.16590380962965795,0.1855865377494198,0.281425320249841,0.17459878005367244,0.23936347960031795,0.1943744476211689,0.1996783993356874,0.14847447525486254,0.21077323073798138,0.1597220639969142,0.15129953479042588,0.15154667751282686,0.1517838078106626,0.21778206072078984,0.21838516404322664,0.24278700111725568,0.19499241113374266,0.17181574928305932,0.15258893178100935,0.17517073813640924,0.15779635490023908,0.1611916560688672,0.18391586492666287,0.17338563949639466,0.15339787310554395,0.16535775454351356,0.16885377918163022,0.21353874373502804,0.1534521167372315,0.19433946698416346,0.16479374452081283,0.1562719992590603,0.18996125579478593,0.19540886022621903,0.13944092379037104,0.24503053761308932,0.1618116711443986,0.1752762421603676,0.11134646130210826,0.22160312927119788,0.1645043013488591,0.18273879390756978,0.1954102191432957,0.15243033327837352,0.17592643514638043,0.15633117737849045,0.15221837119013176,0.15223382260823867,0.16621061488910976,0.16064507651283358,0.1445139703121191,0.1545410618375202,0.15040266830692264,0.16529101651576844,0.17239361140854612,0.15296791437858476,0.1750629446717197,0.1646490622885644,0.1525662620310741,0.11684808521078581,0.1672452752242992,0.1369316608645757,0.17748231881323415,0.16066945397541088,0.1534143011971668,0.20574757955033554,0.16886756636018344,0.15376987217003377,0.1632138405901884,0.15177303916294474,0.15448754641046225,0.14903432362968538,0.15266588249553906,0.14970784746814958,0.15026875736365783,0.15885885750139128,0.15442268310293977,0.15166282690536997,0.17241713385223692,0.15456179968290532,0.1575437842003832,0.15623497936250186,0.15069380568074073,0.15241083674484812,0.15356785412143112,0.15262317645965912,0.16702398669574933,0.15281794974921217,0.15196179157509213,0.2073291081740529,0.17534246487787317,0.15240980857704398,0.15393361074712308,0.1520246558597694
+262,0.31511433108805026,0.17266879728360573,0.37236675499812605,0.17880504198007713,0.2868940335067945,0.1690027757288192,0.2761625774185701,0.21495130294532938,0.1724955555039008,0.2507496967875317,0.24283554948318922,0.17373303106367027,0.215219032888816,0.21435237565535575,0.21348169206829143,0.21270612918636694,0.20786687528379422,0.22156711089986725,0.16825947045161976,0.18520597620355705,0.25920693143322193,0.24352902489610956,0.23417706974919258,0.19717708807469955,0.2963285549169441,0.3484944355495707,0.23661957325505412,0.23949766280786805,0.17927648947706293,0.180277308023532,0.17729431876959417,0.24664830340239063,0.15335151004795278,0.22873172458209415,0.2004298905279917,0.16587279707021801,0.17453230704841022,0.2265655922363577,0.27861826998485456,0.16175019637336222,0.16175393535695057,0.2399832768491324,0.186702300619861,0.2959472424854744,0.23455235599912336,0.1705526153172183,0.17984500813824594,0.18703585003486936,0.17591303926365012,0.21044257016546677,0.22093396580313449,0.33513131109182015,0.2996091282532292,0.2863708612493271,0.1732807127987207,0.2911587418980318,0.1694638479681779,0.18012590123387387,0.230684441234095,0.18609297325316357,0.18127449828761957,0.21344684120255136,0.2072355148371154,0.18839422368707312,0.16193561332636364,0.14896803139330095,0.2766437134268113,0.19785900643452659,0.19969071774500222,0.24928259840808803,0.21082768279244196,0.19836335978039465,0.17971669302963902,0.22099363943187814,0.21998489491998557,0.1735098230467766,0.18048315229395337,0.21305803217902425,0.17486366138673118,0.18544364393115872,0.1891943539923662,0.24943052549479544,0.2040744701034137,0.21112366959588164,0.22044875908105177,0.21890050766164715,0.1754202784624343,0.16137156175083606,0.2845954935939807,0.17435582985511194,0.15251440610291148,0.18407284479115388,0.22104566459783948,0.18658698788894232,0.0,0.14315145870040782,0.19091728833931418,0.18300051570060016,0.16716779026774786,0.1896813399436275,0.17173931563433306,0.19859607124210085,0.20626088570842438,0.17024808190635224,0.1750486300213492,0.17644474206095825,0.19276588617005108,0.18356187035821123,0.20068977635768775,0.17154233447909575,0.1788348369167019,0.16564348530769146,0.18246076699049568,0.17990680448143376,0.18909018495414287,0.2622856143675464,0.20868078607391546,0.17866738154806242,0.17462109501286927,0.1681994950521372,0.1838137722954321,0.2583370195971215,0.28052334548675106,0.27797245282127525,0.22981570695671052,0.29717995822422033,0.17163884544140373,0.17003874424642318,0.15745580658438413,0.18412436317824246,0.17641811534429347,0.15392828960908125,0.18393884482846432,0.13521411558050642,0.19516868639243537,0.20184306672888,0.30961906979090853,0.21001997713989407,0.1765627933068822,0.18314978948217614,0.16749345360316328,0.174281827380451,0.24580632282559428,0.17074481644115397,0.15052030536175137,0.15788247801705035,0.16709754894469625,0.1723349580341412,0.17296358066642534,0.15853922943011675,0.15640768566423308,0.18158787872966026,0.18433216432427138,0.20654250700316376,0.15253655866642923,0.21410243830080042,0.19866367501336807,0.18919002428832155,0.16788553781600665,0.16144886203309497,0.1725274138703561,0.17186304808163586,0.17560159871658723,0.1727892563404103,0.22019289082664928,0.21984475414947904,0.24163486107034826,0.19980083303865206,0.1826961960647659,0.17190733234675468,0.18884651410193018,0.16976995557957716,0.17199875974018097,0.15999742755077867,0.15871528236668253,0.17680853953395065,0.17920573378575883,0.17553648563842375,0.20959852535709209,0.16491936918776648,0.1835462605756249,0.16150213883481807,0.17118699382336908,0.1760628928142164,0.1854080006053232,0.16661770042073784,0.22558667302188706,0.17496194507097873,0.2348787652764487,0.17766693955689114,0.23069512531392086,0.18117622515990522,0.15017811995683425,0.18446296797405481,0.1779961090788711,0.1931116784132822,0.177291684546965,0.1687755301432718,0.17122389791204604,0.17326174621137672,0.17770800873007844,0.17026825496245726,0.16519497515404769,0.16512296378537278,0.16847878648687947,0.1803161283999714,0.17237202446685584,0.17003682481448598,0.1522266271586843,0.17487255977412725,0.17712055121726566,0.1874319952878731,0.17755277951066215,0.18438156432897512,0.17891144683405732,0.16343024215364935,0.20177631726638956,0.18400371526447754,0.17577601774815044,0.1768778076304288,0.17189726115321485,0.176940622202913,0.16823867176633364,0.17343220073291943,0.17579827192509737,0.17373090276446687,0.17209011218051073,0.17666757571461073,0.17531988573340915,0.18823810671921448,0.17422618972201223,0.17807543205996249,0.17742249115671108,0.1669083525257924,0.1732795833670907,0.1738845574886418,0.17498240571825305,0.18263251164560398,0.17529164775186784,0.17431877238090188,0.20416810325830992,0.16602579673963352,0.17259595105554026,0.17590492283691658,0.1749153313778633
+100,0.2922360114153488,0.13591682847020436,0.34804896503082833,0.15099854016189798,0.2824116965652335,0.1263160432806469,0.26016051525972866,0.17782520912505256,0.16710487802407753,0.21074669091773854,0.22571126103706285,0.13020634675342532,0.25527535394072276,0.20940282846428276,0.18719181596688952,0.2698226403607635,0.1789032946215744,0.20642984861452984,0.20158187823067772,0.18621056476299216,0.2265673700004531,0.2314628284828378,0.20983356175138898,0.1615542860572041,0.27683149879205665,0.3259331049429073,0.21212174747733126,0.20861196344798277,0.12791997394338703,0.13113208042152372,0.1343969367720159,0.21804901297891283,0.1029407806663983,0.18942667190989435,0.17028899714754117,0.11993984235649337,0.127283471677892,0.1777096951693174,0.26126513154635556,0.1048721313694947,0.1558749887175375,0.20867068648714604,0.14207571745015843,0.2727535900345882,0.2038011868806963,0.12247266982693111,0.13657587031149346,0.13640483118233065,0.12487832645267949,0.16963166710015343,0.21458443331530366,0.3175747498058498,0.27693270493555244,0.2623538396619752,0.13548254103520832,0.26491657725050016,0.13276574891028944,0.1414260059332295,0.18914991565852823,0.14804253212386917,0.14232467254352196,0.18320539213752446,0.19006336859916995,0.1545009612203812,0.10578824786837139,0.10734228511302733,0.24283423702424803,0.16364522069822932,0.1573577947423065,0.2182457570927761,0.16530611475770418,0.14814147008437795,0.1338032299652803,0.18858001433675114,0.19536122292917216,0.13296310961480673,0.13839428857189898,0.1758427037015852,0.1319103315978571,0.15914929685310955,0.17896726248360426,0.2216945960406906,0.165694158213281,0.18217964407808956,0.18917800422847164,0.18833799428911333,0.13123557422966178,0.13332033069371185,0.2822682947520242,0.13209691797229695,0.1185781584450797,0.22104464687691253,0.21210478980081834,0.1818327313702166,0.14315145870040782,2.634178031930877e-09,0.13962231735428793,0.14681751942565455,0.1258899409622337,0.15609992048067733,0.12994104949764132,0.17095430608358864,0.1871771151556268,0.12026532058489123,0.1321950350667704,0.1360542828988383,0.13509346596966484,0.1499649434507009,0.169485064221335,0.140963609547672,0.15148432441813742,0.13757418253323042,0.13912697771467436,0.1424511458484541,0.14255246271510882,0.2359292212619113,0.17689808648870733,0.14396753892338787,0.12200200213202987,0.13631932165364363,0.13325115972852783,0.22720320591437432,0.2518713642079628,0.2487382539230201,0.20673398140403948,0.2720835204028008,0.1445356378772637,0.1684648447136667,0.1260405808703738,0.1420648369363433,0.14215397963087983,0.10922743675429578,0.20893174514951227,0.08658640027003318,0.15622709507036445,0.1665475954081655,0.2837163638903196,0.17497172912016917,0.1271627935250078,0.15451560272856385,0.13347161814719896,0.1308975539475783,0.21247146339185757,0.12405073762942177,0.10297294188702596,0.15958886334352593,0.12909881515469798,0.1272996927769128,0.1312278003209645,0.12411533681505588,0.14001995391773037,0.1409322652914235,0.1587224238206185,0.2365338287199686,0.12866118369443358,0.18837786851077712,0.15463471157656464,0.17898936585287833,0.11887438635602954,0.1738705615451908,0.13005649652572346,0.12328487319870768,0.13267475511215088,0.13012067432967264,0.19692770756763495,0.19512361259925404,0.22326873315483733,0.1723855186590228,0.14551860529257965,0.12853552934210105,0.14751153186878296,0.11676063777994665,0.1292727149384984,0.13919157367619175,0.11490905191201416,0.13251353354096476,0.13222786493883404,0.13970924020336042,0.17274718937940947,0.12261179300854744,0.1559877689030076,0.1239281071327808,0.12873961606667558,0.15367214796003825,0.1463860382385055,0.11913447471202838,0.19565256590590727,0.12988424314269603,0.21589465738197577,0.16623968620240612,0.18482113556806207,0.13344961766651725,0.1310201706120216,0.15860395265035557,0.13814264599093928,0.1525048139394558,0.12449511098896482,0.12687222053412597,0.1294671440181283,0.1319284323488903,0.12707872426664882,0.12739721624853584,0.12203289772118762,0.13013015494495433,0.12472150428391299,0.1303937820958705,0.12906361223520943,0.14663299150057266,0.09555765986937372,0.13016157971053782,0.14573152863508104,0.14555759948565977,0.1384896621089856,0.15299817575321295,0.13732823632961924,0.11617882217063709,0.1717006967157821,0.14190434594490337,0.13184475939079826,0.13825319053542368,0.1285805375396496,0.12980283435257547,0.12355087230607606,0.13059428400486664,0.132558185453998,0.1286713806191947,0.13188401307603745,0.13272729943931563,0.13271977851697822,0.1500287958109299,0.12837457258322202,0.13314410983871824,0.13537299622065116,0.12378472342663856,0.12865134732369735,0.13112058406586408,0.13047545309074957,0.14508606963478865,0.13018388624103228,0.13019028198019897,0.18313156855029217,0.13374542731075975,0.12964042796325484,0.13087007387145494,0.12998676485339855
+198,0.2969509340098602,0.12570019076228126,0.3438138245276974,0.17921930974937447,0.29157805767536554,0.1317139180990481,0.2833456623898979,0.1677839285379074,0.1638883406763632,0.1975521639600983,0.2122190191921225,0.10674682187045811,0.29087464770964067,0.20457626547080907,0.1841846245487685,0.3088460398730305,0.17095488799174177,0.19605982450369977,0.2248979795587286,0.19808340718909884,0.22175236098706194,0.22988655404340053,0.1966783989027913,0.1858318295730009,0.2948239933487444,0.3114451686467112,0.23167485633914248,0.2585833498894542,0.08882445215892043,0.1084310168085354,0.12209062833237642,0.2054250108740276,0.1246126418074709,0.16325338007947798,0.16091087616233585,0.10665562386699928,0.10961324558188647,0.16373375419299924,0.2515638611228417,0.11232288046519993,0.19656083362810312,0.19204883473077108,0.10748758312650464,0.2666412983768859,0.2237507368806904,0.10127925862019241,0.11695327859536854,0.13711284306932398,0.11781986805447246,0.2023172497275277,0.23538224538786992,0.30918542322507586,0.2679647026621873,0.25637636093167443,0.11323330116504811,0.27373934597624455,0.1374175780360006,0.12290330154527643,0.17761340982837728,0.14722496945902178,0.12149133360187303,0.16847065915374135,0.2165812578237136,0.17534425824906846,0.10887773522053762,0.12622000601000136,0.24360044981047166,0.14429555429678992,0.13489394057933443,0.21227834142228275,0.15844988100680207,0.14255295349941954,0.1161337848439926,0.1862786845883285,0.22312465879253746,0.15420036055177852,0.11911435532881615,0.15603602658756538,0.12033551876051109,0.1891033273130345,0.22928913652408334,0.2124883902323264,0.16030662612839594,0.16391044532256713,0.17245766903676174,0.1750746193578705,0.11551302416647753,0.11944620877613472,0.2937054276735698,0.11091321430813371,0.11772842158800402,0.24610080884540514,0.19971299358447783,0.17355210648095618,0.19091728833931415,0.13962231735428793,0.0,0.1336568683696318,0.1269465272886921,0.16642303673430076,0.10701845979679471,0.17529720407822302,0.18294119044712334,0.11504655037612273,0.12663328030980847,0.13674567139540406,0.1501961545927005,0.13404785529635832,0.1592284472797688,0.14773313012349643,0.1708540393889077,0.14811656936110112,0.12013171320844546,0.11034645831262285,0.10759033330870754,0.22670535814332873,0.16240857069963274,0.13332434022828454,0.1731061292988785,0.1309583384644033,0.1612630159208187,0.22218745916787144,0.25426357804229177,0.24992548207594553,0.20795360821910955,0.2739108632337452,0.1387165185994307,0.17584190638778385,0.1350480689337803,0.1319643726660035,0.1541038188773302,0.12036038781547656,0.2401963250989251,0.15393157396730509,0.14955604981868684,0.1595055978012479,0.2797499964478577,0.15324791748485642,0.10802591440871286,0.147492362332874,0.1204380464608488,0.11197802378563733,0.209107144237991,0.11395905603029909,0.1159834795927762,0.16973997646324535,0.11848951484266486,0.10841121410784885,0.11122521973815107,0.11449342300068707,0.14598544754796308,0.11574000613163932,0.14602223659899155,0.27744376825289274,0.1463688940482803,0.20862409426472836,0.1688679542734776,0.18653369269351275,0.10260645545796677,0.19206040518785536,0.1191780448744282,0.11101605639859313,0.11034005624484228,0.11348427947325453,0.1799009525664264,0.17967877781810526,0.2077901598391893,0.15508186485885878,0.12354551893158008,0.11077623261601846,0.1392510550125964,0.11299435483815584,0.12235894037217314,0.1525312805698573,0.13378652791812143,0.11320004625943136,0.10455486130805869,0.13176906622528503,0.1662339602696288,0.10911722674344759,0.16257860072591707,0.12849658986050452,0.1203983327344896,0.15827384193134814,0.14679886544799775,0.09474517732877738,0.21426143743703024,0.11495582924331713,0.21527885682652925,0.1578159371919428,0.1607502673435166,0.10620036275733136,0.14958139763541953,0.16230712966570493,0.11830656826135616,0.12721621208345973,0.11542179034955369,0.10912252814590609,0.11105206394616644,0.1166025199943001,0.12367105375378765,0.10872683776845615,0.10361958747256474,0.11894026620216926,0.12917606693872247,0.13858688731896,0.10936882818854261,0.14823155218350284,0.1342384546692801,0.10912320116918517,0.12885647736925748,0.1293485286985279,0.11671891861985946,0.13370997998859624,0.12089633723687056,0.10437730725162318,0.16922839484988525,0.13058133984144166,0.11077597467265847,0.12576667271128195,0.11047654344614552,0.11260235453547303,0.1075682735164592,0.11035081524606451,0.11281454563301446,0.10809759033803444,0.11824083485317374,0.11186790133084985,0.11314098961469608,0.12203882957909594,0.1124294601258823,0.1162833289192607,0.11241545338317192,0.11158192152232663,0.10970917780912742,0.11268578145247422,0.10931395391534428,0.12879533129718093,0.10940951836832317,0.10861937701340871,0.18618061413446899,0.13317444459206887,0.11069555365510053,0.1114230798277235,0.10953249159702921
+135,0.29855008332902705,0.13868214114960517,0.36210384475718477,0.1826781357203858,0.28980207912868566,0.12111142210767845,0.29219738763795844,0.1938348327038376,0.1490335673725561,0.22734713801118536,0.22687590311019185,0.10822356034911804,0.2875797292933708,0.2032139023320268,0.18928503648187214,0.3027437196717638,0.17664396370842894,0.208191051176662,0.22184328632417197,0.19541858314698157,0.2338980746184939,0.23412349163762575,0.21381246658647585,0.19122464820638466,0.2776407856716624,0.33851329822305637,0.21069655743899282,0.2435239023380105,0.12375145609931605,0.12622150003784582,0.12708058143150364,0.1713955310737582,0.12754798185935728,0.20667607410233158,0.16364242570505486,0.11013960491495813,0.1150129449001674,0.18133748176797176,0.27076135731779055,0.12722685762558109,0.1880435623375092,0.1751903373903471,0.1139441400011751,0.22262347952236114,0.2217226236068019,0.11574398008595016,0.12173833027424112,0.13976545103949248,0.12330931779576862,0.19977441594904236,0.21481752611626026,0.26231590072851024,0.22217801269528684,0.2111474462843572,0.11482744164024375,0.2761803216415518,0.14375588156512611,0.12789338497398298,0.20285422289793292,0.15809737514799851,0.13002599679502466,0.11516841888327732,0.19896957118724964,0.17250264669510396,0.10299048933308917,0.12247039487441842,0.24196278731097676,0.16664337364992196,0.1558427433798713,0.2125214260072515,0.17895646999869555,0.16412989394738425,0.12198365734905825,0.18720510052356143,0.22735549388662651,0.16293926478072507,0.12391023874686974,0.16470037211383348,0.13310205990645088,0.18384099016139396,0.224075169117048,0.16554199537827577,0.13366129183343795,0.13407713152926323,0.12915098877804584,0.14170898066232046,0.1208087174592857,0.1173316475853961,0.2778776983616603,0.1157987165013353,0.11877628654346538,0.24310753889279973,0.2157400134025545,0.165989456467722,0.18300051570060016,0.14681751942565455,0.1336568683696318,2.634178031930877e-09,0.11979528563153968,0.15161814013391361,0.09071453841391033,0.17595230317001828,0.1715168071704574,0.11294377434937095,0.13378938911337301,0.13330341870647824,0.15298599783675995,0.13797855341004503,0.15018165158295688,0.14562511052853103,0.17063355990636794,0.13629454016386613,0.1263620562681379,0.1326917527263294,0.14233672774299383,0.1800896602193313,0.12552571296400988,0.10328107163419202,0.15927827884229093,0.12458619538215224,0.17424715847826308,0.2259990129195313,0.2571410405302566,0.2518552377459936,0.2139350442872863,0.27662489932254325,0.1456633143838288,0.17508226574250935,0.13285695398681374,0.12076659153470493,0.1567204468546888,0.12058679140215697,0.22553817531438755,0.15641760928751247,0.14372865698691345,0.16318641002257514,0.287922820096889,0.16660224662458106,0.1228553532834926,0.1587143642263417,0.1401264002601595,0.11625871097837429,0.22004158984666652,0.11847071679335006,0.11900432790563908,0.16844359875371626,0.12314145290786117,0.11536997854620042,0.11876407660672661,0.11481758457567977,0.1419116069121058,0.12966854316635837,0.13387770245969982,0.27026930632610197,0.13318009824750127,0.1954183119764774,0.16630637994878178,0.1781155034203799,0.11236087272466179,0.18957218378293275,0.10256083599194804,0.11680830076955177,0.12081806083146,0.11957366047226825,0.1842644315330102,0.18439584858327332,0.21150101207940453,0.1626330924514152,0.13214355455717855,0.11546138630174814,0.14503373994871185,0.11607574053240484,0.09251742240552538,0.14923580831411448,0.13942224269340656,0.1175047102818255,0.11340484000974464,0.125635254443402,0.19538858525352606,0.10880323657526085,0.15942313844288108,0.12689102289698187,0.12155910561065825,0.1564491966760063,0.1614706049813474,0.10271082446063227,0.22432316546873185,0.12577553059131882,0.2188651386400583,0.15790942275747805,0.20327246408778762,0.12610618588710307,0.14886345465885753,0.15724851412658986,0.11584047211752696,0.14419003781535486,0.11964393054056172,0.11246666277938919,0.11616349492960389,0.13401741126071925,0.12495153909075579,0.11332625300875378,0.11840381592700706,0.11610012626112527,0.12367056340686132,0.12877359308619543,0.11539176593340007,0.142322772642655,0.13354498650395424,0.1145449189221027,0.12588976861426956,0.1329776903854277,0.11069318841457329,0.13925457038592987,0.1252250763009964,0.11572119111145171,0.16362594135243477,0.13597119474057423,0.11631414098765396,0.13117721393484122,0.11561366380608636,0.11719653557112744,0.11013817325165705,0.11520642939815742,0.11201461670577784,0.1142720059804803,0.12278012391984874,0.11697686762419562,0.1161735229506309,0.14138696116335334,0.11724056322537939,0.12088926535223439,0.12003558750057224,0.11299746599826034,0.11536908633854626,0.11806128227705041,0.11455239875893738,0.13323174117334527,0.11479788434408605,0.11422855454793186,0.18120784982038665,0.14274274130009462,0.1166219847960998,0.11665713360121677,0.11434385775594953
+64,0.2932463358158924,0.1403192239872925,0.3446669364147439,0.17376892182479098,0.2838520316755063,0.11807328151876796,0.2692020547293437,0.1723682477885357,0.1606337814152481,0.2104574084741426,0.20889318419012531,0.11603917823120914,0.277301364800015,0.20612520621550764,0.1897837950229376,0.2951425316339123,0.15935902027814083,0.20418921029835943,0.21837452359739049,0.18870802378733334,0.22905382528640836,0.2303399488357999,0.1898310473362005,0.16781966078908445,0.2854874138416655,0.3300056866435836,0.1918206944490326,0.2160169845757486,0.12175364211358908,0.127573917105176,0.12708230567419182,0.19642441307970396,0.1234406092177456,0.19288351795847883,0.15679074806017093,0.1124256130856101,0.12451431742311,0.1663568063684483,0.2511793883498936,0.11561237599648112,0.16876549934284232,0.17838191609388274,0.12103972520565298,0.2683776512428756,0.18251921933685694,0.11648447089655838,0.12163046624116759,0.13830014690397127,0.1191978707984707,0.18585299380115874,0.2238582426419471,0.30997337191350055,0.27097472293024544,0.2588307420007683,0.1266178594741943,0.26977073020336384,0.12384218807858521,0.13192746768861113,0.18556456832459697,0.15237105727057415,0.11613117544582215,0.1712455249717884,0.1786373522726151,0.15472713214459147,0.09582164820883232,0.09678831894419457,0.22585104205927148,0.15854905969701055,0.15192176230647897,0.20325969389952692,0.17026132923020745,0.1534206162575306,0.12946113004973497,0.17742674781293263,0.20317079279095687,0.1294472731175846,0.13068937619855042,0.15990323121337802,0.13532223458222653,0.1706251508275544,0.19205634597856933,0.21502321945208638,0.15973743917257738,0.167903133478211,0.17681617233105937,0.17609290770489658,0.1171591577532343,0.12505031577979026,0.2602789732040992,0.12062668817209718,0.10974373476605959,0.2382155052023525,0.19391379180588347,0.17679286539827566,0.16716779026774786,0.1258899409622337,0.1269465272886921,0.11979528563153968,4.16500117164066e-09,0.12406714796639012,0.11439213231420396,0.17116526774238533,0.16237248877378035,0.11842787339313957,0.12855925854108988,0.13038336018924188,0.15010553160819948,0.14268300954780114,0.16591625999082912,0.1317727153507192,0.1483464901604443,0.12613271243501764,0.13253411200699727,0.1279595311947063,0.1413342758425363,0.2271295418236175,0.16240524868424946,0.13185985745143,0.13405422686566904,0.11519318318052496,0.14982671609775006,0.22659033967980918,0.2547706361765692,0.24935757994570606,0.2112762032347895,0.27476814544223627,0.14542437231042613,0.17609522508753975,0.12815622367854515,0.11751179346117266,0.14824694431710395,0.11626510035581251,0.22610225268383538,0.1409088123740501,0.14858284718570985,0.1634467814723499,0.27635746419828183,0.14647536411797385,0.12287789012102712,0.15003996252806545,0.13506907298757687,0.12306320566974746,0.20381608013476285,0.11720979645008459,0.11373880520554555,0.164528563540683,0.12716235801723808,0.119805943720163,0.11748602204908024,0.1182589622424448,0.14249642828699643,0.12353526811857495,0.1265978710575338,0.2560183322626952,0.11885880220497477,0.18054106534026518,0.15971668817673268,0.16438162103149,0.11315281440899172,0.1842458541822439,0.11279259621902345,0.11935104643656273,0.12406187942987053,0.12304160175167903,0.16975703117310184,0.16912014874770684,0.1960178785721892,0.1402842899027384,0.11737549330473965,0.12231155508097225,0.13998392020685257,0.11006996971955267,0.10318397856621807,0.1423562926808842,0.13128748448499494,0.12388396263066496,0.11273593408533113,0.13141115256819247,0.18578757702190182,0.11208268266024303,0.1531880343152371,0.12406309655574604,0.1232134795691594,0.15300016657377286,0.13010082683262975,0.11042835840320842,0.20229549781063083,0.12210892571477465,0.21138378900572286,0.1635739832000705,0.18882245923901705,0.12478840131733956,0.1298803842076948,0.15511382904852605,0.12834915490618887,0.12817913300057274,0.12565093326741297,0.11191613730168615,0.12216463979695,0.1092945532839746,0.12333753816309478,0.1191228758775221,0.11762678650690529,0.1217277447848656,0.1202186945156682,0.1224410326179195,0.12236414652236154,0.13439492497194636,0.10632705246975606,0.12209245545853362,0.13680571614583809,0.13786358543425,0.12933921982814034,0.1263279297279228,0.12160724232149221,0.10653725369674313,0.15454795184907086,0.14217290152561254,0.12414545009135007,0.12980194514079313,0.11978055702377395,0.12403743531846144,0.11605831591441419,0.12251664205920884,0.1235119531920283,0.12168325581413311,0.12690627091888376,0.12476503854490109,0.1217505642070312,0.13193998541106958,0.12101569578593899,0.125200948420406,0.11749239622732989,0.11714882588883949,0.11908813630680228,0.12220294982819663,0.12237050010445003,0.14000831843459624,0.12229802242093199,0.12143788167425056,0.16476040901313702,0.14253377918490517,0.11994480262676484,0.12014251467561565,0.11915708881000231
+141,0.28449533486603523,0.17355844739091453,0.34564155772639266,0.1984717343706766,0.29588432377499857,0.16288239673915986,0.2824834369340536,0.19306233285953375,0.1862827810912478,0.23657829443442263,0.24922578564729703,0.15487418891666938,0.2792375161561646,0.22547832055922917,0.20114207251678665,0.2993600053452823,0.18952774467251543,0.227278185615971,0.23072319138236635,0.21071314937208904,0.25756181828172237,0.2473892699895016,0.23402733772332257,0.19144937018375116,0.2894131664254128,0.3539185764834972,0.21154225980326385,0.23326231115123905,0.16637953930038904,0.16400225721190492,0.14263194041005847,0.20540736741494833,0.1559638928498246,0.2232468739903346,0.17662526599558537,0.15305556113998753,0.16132359780244748,0.21048207322275508,0.2915111776235257,0.1544869723130526,0.16765981650078995,0.19711378639003718,0.15876146830137405,0.27191310472331703,0.18529847974499775,0.15841033997909817,0.15468016974513926,0.17127421308632496,0.1591592215345954,0.21736840815285205,0.2224486952547637,0.30824623642509297,0.2739228115306871,0.2518947484781714,0.16124507037730687,0.2622347204926702,0.13591669638394357,0.16417837297599114,0.214357102945444,0.1823159776200916,0.1414132244620453,0.18474928611173277,0.20823856628933687,0.1781838666105208,0.13955084916981017,0.13185308391615805,0.2572745421455603,0.1977508097776168,0.17772514506803602,0.24398447124921735,0.19984050614599008,0.17528224258576464,0.16652722955532356,0.18724454816370853,0.22589814711287595,0.15287433788620686,0.15327137729667992,0.20011847277076728,0.17188213213160178,0.2005057783383936,0.19706790213493092,0.2265156823234677,0.18519479793463656,0.16742428754040645,0.18978593801958413,0.1904461922133362,0.156833779110433,0.1608938490650122,0.28298980946030544,0.1570716141755776,0.14938881058112216,0.24548163904515913,0.23950297152881855,0.20023474761080487,0.1896813399436275,0.15609992048067733,0.16642303673430076,0.15161814013391361,0.12406714796639012,0.0,0.14373398752797278,0.18707592154366393,0.20477148364787212,0.15978481172460265,0.11607284816087117,0.16657287497945686,0.1819952083496058,0.1767458758631131,0.18781606322915975,0.17288124150782225,0.14773315498828835,0.1713734662350843,0.16393307466575482,0.1560084742711915,0.17860860524359534,0.22635420868902495,0.1829340776811124,0.1472643802024662,0.1635294498314542,0.1550800732956941,0.15622013037841043,0.22891924370573064,0.25271391008608984,0.24702949254858542,0.218276011075287,0.2727154215679154,0.16230804862750756,0.16839648380040004,0.1672307998407248,0.14534546708963075,0.18042461246150074,0.15469287696305453,0.22130708916857203,0.17231203987164692,0.18962110080630515,0.1818403215831232,0.2692411493649918,0.16550196827778235,0.16325923780730411,0.18398407452300194,0.1540024375936564,0.161041983744939,0.2012520282954277,0.1563495566375934,0.15231265402370875,0.18131078311691617,0.15445337565133566,0.1594040536677363,0.16070358594388487,0.15989748881541535,0.16667725253992377,0.1713401041175479,0.1775632439631187,0.2535280211836245,0.1514412293675706,0.2227274626759877,0.19309329787487295,0.19469959225634403,0.15434427960022953,0.1969316128042254,0.1554070969299176,0.15995385793005107,0.164004403330765,0.1614765240835386,0.21791403548385724,0.21739580091612504,0.23251205823353796,0.1762567646760782,0.1673566806223307,0.16062704119127688,0.16580018039247593,0.14920856934020008,0.14881762321627923,0.1735889198625049,0.1641413740038962,0.15852959878677736,0.14751410227542147,0.15751307691900637,0.2039395488177763,0.15467841399144783,0.18383874248765134,0.1575885003363822,0.16214991590869407,0.18543507643596427,0.16692013179944415,0.15085277092834762,0.21871198152634302,0.14128090582879127,0.2148801901552773,0.18901257639939828,0.21993223216431304,0.1609471108847244,0.17958124615721308,0.18480646383924923,0.1632682513420916,0.1604068043495014,0.1636307118077415,0.1550516307043264,0.15951464212346536,0.14586472138637513,0.16137744853330166,0.1577115562180133,0.15643458219532777,0.15786951051947856,0.16158453268710937,0.16901856633207915,0.15984552006962177,0.16647655611870696,0.13139754439369375,0.16138751171108986,0.16793308471246163,0.15269668085821755,0.16102186884573796,0.1805642566739889,0.15102753699292282,0.1499679447190117,0.19093419212023824,0.17689384900768398,0.16131159703798087,0.1446024133250495,0.15923025024457788,0.16289720498517307,0.15731888958094614,0.16081408677535808,0.15943589830329466,0.16020208865091415,0.16211232530020683,0.15604891637159415,0.15832397298444884,0.16510512939845268,0.16043252081192094,0.1626216690178596,0.1579874809672456,0.1528023820626848,0.1568404775345888,0.1607573882370057,0.1610916756797979,0.17517280588863224,0.16094728610022527,0.16081143478559448,0.20422060653313442,0.17135581854626047,0.16077268549219847,0.1585961285363052,0.1594298973686987
+87,0.28801668829234767,0.11951889137882296,0.3670666641605643,0.17704151728248313,0.3019897350332931,0.1153048197808235,0.2901032549922486,0.18757180816882366,0.15226506366874007,0.21956470572532286,0.2206865780147352,0.06740874085213873,0.282863484066162,0.1963545360585658,0.17777185124793646,0.29848126270983216,0.16984805853017287,0.20097953437647242,0.2105313022251654,0.18963490706555788,0.23642785294540383,0.23088979346632846,0.20159761846957897,0.18265124296055532,0.29535203655376646,0.3410767750548791,0.22385164925096673,0.2555084413554419,0.09370979179247486,0.08924777500117279,0.08978301691758489,0.1796463239001659,0.09801161483048565,0.19418650822368133,0.13683285962750716,0.07068014428269101,0.07132610434178499,0.1809079828456103,0.2716388255765652,0.10234897633576276,0.17622140684840037,0.18765398549774973,0.10046961165651849,0.23362659280768225,0.22583438156943192,0.07553343047072462,0.08216772197599165,0.10970627051460397,0.08358355952757737,0.1947203601513895,0.2155638387342368,0.2729399593681081,0.23309709577666654,0.22192930168614708,0.07537749689094352,0.26291844020731675,0.12130559033751195,0.09053735595351105,0.19676694292766425,0.13024063467367425,0.10238913346028297,0.11974285901506235,0.1994499952970116,0.15974798139079852,0.07259415514662783,0.10302549488043443,0.25520536130692595,0.14993584850955632,0.13461591092269765,0.22390771842736062,0.1559813524289053,0.1454917225356911,0.07881880977463875,0.16549981957471246,0.22231718451792024,0.14669132975772609,0.08393325341811385,0.16603886980102434,0.10780650769367649,0.1706805334105507,0.22503156745649847,0.1730496236029114,0.11573784193404281,0.12052169522148747,0.12039372440671653,0.12720917661713438,0.08330592271427098,0.08898489339401969,0.2874758039763615,0.07240597391400921,0.08963529107979423,0.23122820735085797,0.20815576574003225,0.15510771517945615,0.17173931563433306,0.12994104949764132,0.10701845979679471,0.09071453841391033,0.11439213231420396,0.14373398752797278,0.0,0.16386395398773057,0.1727355258241516,0.0830197861326813,0.10879340357685352,0.11257025991393323,0.1273590237348265,0.1081918353856984,0.12662772720764978,0.12698799272091288,0.15676637177547587,0.12568075693334466,0.09217623566238735,0.10823559949840408,0.11511555213904914,0.1839227642184515,0.11383471156371891,0.08811694606505073,0.16115823002233126,0.10996179651398737,0.1574520614675279,0.20927642548312833,0.24355130031578726,0.23662344054207074,0.19787229455995373,0.2625756189012536,0.1185861085291305,0.15504823520065905,0.10512716628876373,0.08940811989756782,0.13130530701234863,0.08407562619179265,0.21491884435966851,0.13838881728347152,0.13602226776238455,0.13470468116197556,0.2749528845135267,0.15127870314446393,0.08508829378966476,0.13140551635787207,0.119422903813384,0.07324306683041586,0.20268109795315692,0.0782278578308791,0.08025156635291628,0.14629794788120035,0.08315620453711084,0.06938412202155943,0.07869010088058781,0.08085120829636624,0.12454109327614347,0.09613615255386072,0.12553260118931941,0.271831453690543,0.12404226011768592,0.20565434107351577,0.1474147052242436,0.17560567505329092,0.07555470094273387,0.1703011700369248,0.08645072680804182,0.0775162346889465,0.08478938710115615,0.08238208164132362,0.16957183299276907,0.16919540767393784,0.20067466811376544,0.14277742272496477,0.10400710990951047,0.07427774699814503,0.11244277530128759,0.07786622964435777,0.09174514301078827,0.12521501399046836,0.10546672854253457,0.07539015998650173,0.08309566650479064,0.10604752492179968,0.17629782310916026,0.07025036676674525,0.1377175010748779,0.09646129073575856,0.0874090790865606,0.13331365672935724,0.13908056128151092,0.06893317857158539,0.2162491576046194,0.09055106456666863,0.21074929028848843,0.14806285512294204,0.182512337609659,0.09024639208697244,0.12957842269024328,0.13475802520065291,0.07610465196694216,0.11323960069044724,0.07950289323553271,0.07339556113547173,0.07403296398477402,0.11363510500598846,0.09107009180442965,0.0722455634202175,0.07792296107867397,0.08884796882756113,0.0972822788606736,0.11532053017617969,0.07534183763723912,0.12037473537729682,0.111122242463285,0.07073997270242459,0.09692957178426491,0.0978439740922081,0.06977152446081109,0.11433752577907949,0.08608296386114053,0.08130949557449371,0.16279705841729783,0.09925865967152266,0.07038374230622713,0.09578436599664085,0.07373286724168265,0.07562611603636127,0.06934159635194437,0.07201030323632687,0.07144798748636774,0.07011770193375791,0.07821157623963641,0.07461714936292975,0.07351195316019159,0.1086701036481641,0.07521780230255173,0.0814447591422622,0.0824303574771196,0.07875068957944581,0.07236543359345024,0.07774701678609516,0.07074814590019264,0.09846950855185128,0.07089131419694293,0.07090431137121483,0.17069848477151542,0.11162947436921165,0.07464356246531417,0.07246379918885909,0.07118571494594593
+81,0.2100812521744951,0.16377379799960198,0.31346231596005775,0.19853854665291784,0.28591394102036694,0.13785410258785383,0.30525163934217764,0.20131781158902573,0.17281685409310232,0.23305105271541884,0.2471374927952442,0.1534558860376686,0.26512320658078276,0.22986719618408852,0.21423561942887578,0.289473524477853,0.1944263454921839,0.2292424607975456,0.2177743574996015,0.21137766697795338,0.23576012130400012,0.2589886663892546,0.2351529642906047,0.2017316259618845,0.2777986575257097,0.34718305714357833,0.25355036842330875,0.2624575444126053,0.15941717414798656,0.16277343417262322,0.16445916581543554,0.2546447768425714,0.1688286447474285,0.22177914697658557,0.18799048873850052,0.14957112835490818,0.15338478685287613,0.19889941975143827,0.2783231641609623,0.16189411713204652,0.21565221390647005,0.24027601055244857,0.17881597444833877,0.2916637728966825,0.2222276895467617,0.1588543135152281,0.154560521351462,0.17707156327108758,0.158244165197819,0.22428164696848443,0.23414389921002374,0.33417096960237375,0.2943052538434461,0.278604130695855,0.16023127072141563,0.19186707776397385,0.15597204174199134,0.1674255507167202,0.21928459545420692,0.17756253560524637,0.17153171705755482,0.20690346879956878,0.22029422022202186,0.19886274700649703,0.15661815216442374,0.17014704341973044,0.2743304191587944,0.1869433354700075,0.18172383328920433,0.2202921751228172,0.19321035808319678,0.18506570186770918,0.15783111061843855,0.16913323268034347,0.2426406388821949,0.18599875206098257,0.16363045478463356,0.17642244823635056,0.16825219616883735,0.21529648803133258,0.22354793987873414,0.24076698958122858,0.1985582142841817,0.2085006962053326,0.21147274347246095,0.21658316696301397,0.1601976458057555,0.15721217751240704,0.29768379500992775,0.15747960551171938,0.15380724288891223,0.23738022466294678,0.23452309881886968,0.20417075039369523,0.19859607124210085,0.17095430608358864,0.17529720407822302,0.17595230317001828,0.17116526774238533,0.18707592154366393,0.16386395398773054,0.0,0.19056535053111387,0.13643116689556545,0.15796523391152476,0.16849724550073447,0.18810956098788917,0.17461747062076113,0.19754693705262952,0.17403317305171456,0.18004102410287648,0.16251022186504407,0.16922379930708417,0.16933370719997703,0.1717083757667642,0.2556913452707081,0.19773865004657878,0.1710556685726849,0.19064461425551302,0.15414126755693355,0.19607955536265487,0.142976833732935,0.17044947046896708,0.17802524348686105,0.11837193996322778,0.1907019647545748,0.1646492318056116,0.18977715335292453,0.17189621502314734,0.1741038552461626,0.1900527893706903,0.15570573872987267,0.2441327583420185,0.1864282089819835,0.171985056129632,0.14950045640758258,0.20799334257223182,0.1502009225602855,0.1635195183632716,0.18737464148261446,0.17258364791789785,0.15965204145339115,0.18041848882374062,0.1598052981296872,0.15842998220589086,0.18255408588697933,0.16123821272457048,0.1571260478560364,0.1577289806089223,0.15874952416146115,0.16313809350025407,0.16814594546972614,0.18396538966802956,0.25000860180618534,0.1669212872451912,0.21586179265996208,0.2030227043731742,0.19164271233518781,0.1474739326629965,0.19861775562926473,0.15760658260005478,0.15575866549783215,0.15892667182150813,0.16016127228236324,0.21501078822102818,0.21502337937212324,0.2385828147448152,0.18682947305412834,0.1677825438576313,0.15765477327070512,0.16768402650305703,0.16173964723404755,0.1619257876905268,0.16713468250103874,0.17010218112740308,0.15632553585042738,0.16159867384810725,0.16718721441554613,0.20430340684470177,0.15522169281250325,0.1923276275803832,0.16622999095731797,0.16473021471506277,0.1917672807712085,0.19074424707731255,0.14963373556211312,0.24144235549317836,0.1568390678382852,0.2416092300738916,0.19968420620938346,0.22403535443232972,0.1626350937931191,0.18499625868507696,0.19550667734529434,0.16347915687535441,0.1723109291746355,0.16145230738565391,0.15588158812042074,0.15772287308904823,0.16571107088587952,0.1672124310418343,0.15584936195321716,0.16051935535353803,0.15564555738467756,0.15179491576367155,0.151008527499004,0.1576448876124081,0.1805671916038566,0.16348230982917553,0.15788821793462948,0.17236016276358393,0.16924779547976143,0.1639724301443046,0.17895060206573396,0.16054763377777997,0.1547331359251235,0.1796480103256439,0.1664687968541316,0.15925971951774762,0.16884763118320392,0.15856935880558476,0.15578164780491205,0.15443216607350024,0.15840650633808548,0.15959778528569865,0.1566245952509441,0.16309458740185326,0.15896218874755774,0.1609955695017715,0.17418217525324642,0.15507858155333637,0.16316443130644506,0.16046972333651685,0.15482645208364554,0.1577672455607476,0.16067602021086105,0.15766194878225961,0.1667880161201018,0.15789649427721836,0.15774825581394836,0.21350246901934186,0.1753014011389511,0.15741898572304278,0.15820580022615988,0.15710663007268633
+31,0.3200290873505105,0.1814924759006471,0.37099885558962853,0.2143655936616831,0.29616947908586977,0.16217436297293222,0.29791898844638,0.20968652074431376,0.16364368143156643,0.22201047521865638,0.22319083153900263,0.16654512995562223,0.2878417682165177,0.24143146946268643,0.22959186633883627,0.31234093518924755,0.1557779200406927,0.23234097132745052,0.24513127524478304,0.22432311305151378,0.22385537062711916,0.2690607300864906,0.1847805579801106,0.21138691831210382,0.31983184416071964,0.34406444276378056,0.2534508792254564,0.25673150447543647,0.16875426045451455,0.17373760079923362,0.17259290364015875,0.2554455677293271,0.18093054885923757,0.2188111908180931,0.2040234492080908,0.1554225991087774,0.1716532629632929,0.20275991917336555,0.23439191539322093,0.17626459873571573,0.21563690790992707,0.23357824973404126,0.17791939433538945,0.2971799888071307,0.21084829553510642,0.16537607423808093,0.17580264548924607,0.18622693557455425,0.17516623306272128,0.22553526749750538,0.26097581312688695,0.3410174166397296,0.2956680581489058,0.287697937207865,0.1727430928938454,0.299072821195104,0.16711370992634353,0.17287646535203186,0.22830677352417753,0.19604542620583681,0.18068202933065686,0.21239047911979347,0.197515042546378,0.17553762730595482,0.16103174125662817,0.17562779012474075,0.2769610303793169,0.19744075883787593,0.1913042537132161,0.21035455058522587,0.2117804769144926,0.20090416438405959,0.1739521762898009,0.22493126850819564,0.2142406793351957,0.18820986932999076,0.17533459944034824,0.1567453228382434,0.18145058803956324,0.21515600204723512,0.22619803623307766,0.24830289077168083,0.2044194767437834,0.2178212348881322,0.2163568837224309,0.22004356123406826,0.1722663494466749,0.17168938927689661,0.21488753340317068,0.17283186871470646,0.14840401606708672,0.2602787705990668,0.189378119668471,0.21468876878512672,0.20626088570842438,0.1871771151556268,0.18294119044712334,0.1715168071704574,0.16237248877378035,0.20477148364787212,0.1727355258241516,0.19056535053111387,3.725290298461914e-09,0.16134917808593116,0.16491217952359277,0.16917478308788336,0.19549168304490488,0.18642121490713287,0.19993940442425942,0.17130830343515419,0.19854528595381463,0.17626085003476347,0.1792746869662395,0.1745435481662387,0.17842025976272835,0.2626541152138265,0.20452306624807165,0.1767489008167275,0.18410481905338133,0.13579503716302743,0.19958362135432778,0.25775628106888704,0.2834029052702755,0.27898949753384267,0.24321877563585462,0.3018568566009822,0.18759583519863446,0.20829079374832207,0.173303664273716,0.17885824515376872,0.19427354895650661,0.1706816619406288,0.26385399514006125,0.18832778680599524,0.16130858356049158,0.20322265516016141,0.3104284183667194,0.21053339001236537,0.17404304531460743,0.1953664601794208,0.1631661526257086,0.16725307863457015,0.24843647531650018,0.16906128143513213,0.16402869670900772,0.20152424204902006,0.17258192968325933,0.16804223513904878,0.17143247392209573,0.16704258112706133,0.18464819394660373,0.1579962626254948,0.14081259433266768,0.2586033796432493,0.14475360134849988,0.19650545411867204,0.20041287280993147,0.1344249983848049,0.16484589890177848,0.21661819348313557,0.1617550112959823,0.16918947282160646,0.1693637044428982,0.16971273620709088,0.1615693585097396,0.16374831905110168,0.1799879182509612,0.1603370811722922,0.1479789702831828,0.1696303772062198,0.18964698438187344,0.16993623076675352,0.16319662987899192,0.18852666892323622,0.17823420050680439,0.17187204854115645,0.1709000553006901,0.15801160346016008,0.2202922854905915,0.16150917401914652,0.191752742765827,0.16862279970282762,0.1711198851320394,0.18958977312569417,0.18932213250317984,0.161789802200645,0.23830093743409778,0.1687439915148099,0.24657895647404074,0.20350974187885323,0.2273626785794483,0.17976218014236067,0.15094898648052216,0.19694896943508886,0.17202255749728837,0.1917859206344105,0.17312840420255957,0.1627034691772535,0.1701042602342753,0.15996097066003986,0.17718661579504486,0.16743557587665583,0.1639887148517012,0.1544603478920948,0.17139706908985758,0.1718900677929978,0.16954700699338784,0.1882940541709645,0.1723047030475656,0.1696035442033994,0.18316852250286608,0.18297133383671735,0.17641955595766812,0.1432938483283983,0.17564201844991473,0.16270409770514024,0.1208113884465669,0.18482341423927687,0.16963466477722322,0.17892375962135343,0.1703845677760493,0.17152499381021302,0.1642328953779603,0.1700892679573588,0.1720778717973641,0.1691082662284886,0.16783321087137218,0.17130539156958444,0.1725945739110911,0.18305138621832145,0.1707662298340074,0.17442721980178233,0.17216041392053086,0.15703476501837912,0.16955745973257064,0.1716075531413061,0.16980722420767913,0.18278840666477908,0.1697634321636035,0.16906186642292473,0.20129416117382104,0.1849596592272736,0.17067947073278011,0.17023693841161644,0.1699230452547325
+174,0.28020322855673885,0.1105550165606387,0.3596173944615012,0.17025093968543725,0.2927229460666045,0.08582793940267569,0.2898093385843495,0.17990589300453866,0.14204852215293234,0.21395404199809484,0.21552675935712626,0.07079325498454976,0.27768774079532177,0.1930749572622946,0.1756826902372156,0.2959850637195885,0.15792638076450027,0.19583469106549584,0.2071661961841755,0.18190750652937404,0.2306840167797866,0.23022016251859842,0.20063621144907715,0.17960449635331152,0.302685534534315,0.3353983384573955,0.237682100106826,0.2487186161882808,0.08509207684660575,0.08314590263179004,0.08546922281653199,0.21959775310008336,0.0977493350393689,0.1892774841359535,0.13164748569485585,0.06267567274329977,0.05828675525813767,0.1671189075290316,0.2600015488584874,0.10334871770211947,0.18580307959017459,0.21443156698176302,0.12190460890999019,0.25886830904400027,0.22178921555412462,0.06929947114614292,0.07924482552537396,0.10500436583516295,0.07320042239303198,0.1841363742318587,0.21718305769015783,0.30535132525131825,0.2602635319521336,0.24353632179506823,0.0747425861370318,0.2506901974128901,0.11476769360951551,0.08487921932540089,0.19349712807877215,0.12244863770169047,0.11622537165714013,0.15389496151490198,0.19629025062923533,0.15963290738752658,0.07476531138291356,0.10998010274002168,0.2563957076197119,0.13962851402685542,0.12625337610058054,0.21266137410159475,0.146428543409555,0.13842333948703667,0.059833226999856645,0.15939123076982112,0.21994308416739006,0.14234707561660567,0.07818670127243733,0.1533195140658259,0.0990070163844848,0.1672069913287233,0.22071526871107933,0.19605525482967834,0.1365995015797805,0.15811570634399089,0.1572942156828849,0.16139343713833013,0.07721206955357449,0.0799322290916072,0.28454351690826424,0.07161006050825304,0.08629130833382138,0.22981387693985192,0.2039893141574844,0.1526384220341298,0.17024808190635224,0.12026532058489123,0.11504655037612274,0.11294377434937095,0.11842787339313958,0.15978481172460265,0.0830197861326813,0.13643116689556545,0.16134917808593116,0.0,0.10167777605409592,0.10393766249700252,0.12361916141270936,0.09946811918690977,0.13922571283974608,0.1156943043815418,0.15541544433038418,0.11041150784970653,0.09560187481247201,0.1008136823360853,0.10954361532557905,0.21458559564521856,0.1395797643295778,0.1079877243196243,0.1551085319152099,0.10022785397618961,0.15637354921499266,0.20159450700002932,0.23521404468730583,0.22965563116707605,0.18633538311155803,0.25015032036020024,0.10882668991699461,0.15103815062638828,0.10045253284957469,0.11436150237045804,0.12902428970749158,0.07119170372595301,0.22769794545871422,0.13088264709007327,0.12806710447809905,0.12206528553885787,0.269062491580748,0.15230048866616022,0.07856834710203657,0.12168676190394677,0.11378153621981552,0.06842363128411157,0.19561745184167753,0.07394781313027533,0.07429910576207611,0.1431258468351011,0.07992883829420963,0.0650077826451045,0.06808262567632065,0.0748285226484901,0.10530955526829627,0.09082998901419513,0.12551577752550502,0.26580533025934533,0.12256376793322556,0.18918955137281934,0.14604725918203051,0.16694989774144262,0.06201426284787394,0.1677365585694295,0.08155616494215648,0.06151743797696445,0.0761250109366914,0.07505678601618497,0.1666117034570183,0.1666088186535341,0.19813248682505852,0.13955579031371387,0.10080438455828036,0.06575248851132433,0.10498907280727161,0.08206592506584819,0.09045868708937446,0.11871763312444772,0.10259224000750802,0.06690124079492196,0.09823297915548548,0.10844891569273904,0.1672490466467115,0.06604467144288609,0.1351078419105756,0.09179640482619635,0.08162820946513111,0.13273380045891495,0.14456725343797347,0.06823642465899912,0.21593989159619584,0.08625101961618216,0.21007320267606935,0.14671784197471674,0.18030604368603634,0.08549073947638534,0.12631907570445977,0.13941970831553396,0.07816084166828467,0.10819450105668256,0.07226866619147444,0.06871831516324274,0.06685795696655025,0.10414502151614764,0.08812423043948733,0.06425971904541362,0.07961165045882972,0.07323594325696199,0.0669123850159645,0.08571993745413371,0.07079514129243816,0.12381723675803231,0.10523370171095069,0.06292669774951852,0.10035112887232527,0.09243294815164596,0.08070879403243815,0.11105806804704729,0.08273943873924128,0.07371440471049556,0.15122402380373048,0.08045449280078296,0.06620828098267478,0.09193784164547235,0.06684609993264162,0.05888786472824507,0.06077433755484633,0.06522348097844853,0.0688778706326033,0.06223479819607585,0.07749559290251495,0.0666222990739664,0.07272478426182441,0.10441783429720443,0.05976210207668748,0.0752201515773048,0.08060563252295636,0.06640359053559441,0.0648202504367721,0.06997119007831384,0.06294263571372845,0.08361898993839946,0.06336276751988737,0.06335528987467967,0.17018402919495318,0.11271309719903556,0.06357538283135115,0.06808901613296017,0.06419118790518276
+113,0.27730748528779814,0.13265605888518084,0.35910284445167,0.18539273948195856,0.299174625241453,0.12744924419296766,0.2848117271964927,0.18158937634301284,0.1531468036210047,0.21558527622548895,0.22525151529542303,0.09912362538634312,0.27912285988350916,0.20762840390032336,0.17745919038792232,0.2987732662178889,0.15804169115619343,0.20605375481431212,0.21521721517128645,0.19497935478667322,0.2385667440297173,0.24243335673762453,0.2110678560951992,0.1800064961863245,0.31280542375052556,0.3407106869000189,0.23728825664942924,0.24649520833172017,0.10982379128705447,0.1131606905080412,0.08049397729706531,0.22847445513616962,0.12030530686928582,0.19289499645038508,0.1436787932751137,0.08875270245252964,0.09891601651352558,0.18808208534172344,0.26934499712715604,0.11913390334307819,0.1777472574255416,0.21946364972496255,0.1414344676435232,0.2703451579499392,0.20914458834832092,0.09375900295523709,0.09872048419064275,0.12039609823300779,0.10213171818775764,0.19711719890652277,0.22361480370308504,0.31682782281216954,0.2732599077550909,0.2452742878102673,0.10097280213208325,0.25402256588557814,0.10466404756333206,0.10742416509317272,0.1998631013780137,0.14120631094397457,0.13096200082917295,0.16649738887595214,0.20370033007143612,0.15131941113015698,0.0960961763512035,0.11283691089611145,0.2701627273479688,0.15795304436582824,0.13075440744240643,0.2258474525314744,0.16829144925789066,0.14041490484768912,0.10334991303673374,0.16293768508216425,0.2143404090138668,0.13802684221044167,0.08467407041065955,0.16740388113758523,0.12443232125287466,0.1738652056527531,0.21043562412669736,0.21072408796508008,0.1549874928702446,0.1547092422053993,0.1713598969524285,0.1756655876347775,0.10117170875487844,0.10822657845986146,0.27633597886790057,0.09584590475604728,0.1007963304518854,0.23603150333752743,0.21192509034218351,0.1712105861325407,0.1750486300213492,0.1321950350667704,0.12663328030980847,0.13378938911337301,0.12855925854108988,0.11607284816087117,0.10879340357685352,0.15796523391152476,0.16491217952359277,0.10167777605409592,0.0,0.1310407084701449,0.1352838470857274,0.12762753265547502,0.15305419579182614,0.1333129737503005,0.14067760728743248,0.13915773074997595,0.12236502930555825,0.10571360749897038,0.12782337580621897,0.21618586439290255,0.15760190818604042,0.11791610220998318,0.15704623639384355,0.10792464307350617,0.14447545537256087,0.2070100112606178,0.23783432951933595,0.22970177490382473,0.1965990096971094,0.25719723055956434,0.1260045261962963,0.1400128779283501,0.11996529599705134,0.12614897188215335,0.14056969633931793,0.1055922785338089,0.22534454729122283,0.14111064390082081,0.1431166413100144,0.13917279902107604,0.26601062117628704,0.16211949683584895,0.09759639023583691,0.14106041079011486,0.09762865305796908,0.09963104219984625,0.1902261857667859,0.10171594513293626,0.1022602674448165,0.15339575548974074,0.0991309440810782,0.09654780465124048,0.10014572396460925,0.10209525927188767,0.1302146545489452,0.12045637676146792,0.14488235395232085,0.25954099064750374,0.13088999814255092,0.20453974794154234,0.15558772277834942,0.16599122113010822,0.09770424946407222,0.17390776054352874,0.11346731160868972,0.09642829389961678,0.10538781567624829,0.10368089109583095,0.17988591167925133,0.178966218304289,0.19862285818690253,0.14473738463907976,0.1216814751587176,0.09851705478446261,0.11613463815144011,0.10255276313320791,0.11702976277501029,0.13955205655196454,0.12169806352694802,0.09516566550593296,0.11573191346229748,0.11612250299544961,0.17303387583372362,0.09741712874636285,0.14925156300560152,0.10743473021710367,0.1064982389021046,0.1462064669263135,0.15172426006542705,0.09628432453413939,0.21100799726678873,0.07559035736956081,0.20483792440761367,0.15618176149985458,0.18597065855531145,0.10712380121526235,0.1380044441800407,0.15172273939536116,0.10587242598857054,0.1253922775625619,0.10178326917709783,0.09830102870713917,0.09655633779670425,0.11596765184672168,0.11334773904512967,0.09590144260640436,0.09798504409638584,0.09791856140340602,0.11423357428637274,0.13215199489042617,0.09772766594142572,0.13779526405662085,0.10520254951863442,0.09705833268446894,0.11973539595967393,0.09255631162507104,0.10557414679201865,0.132518109312263,0.10258604956528151,0.09384520811616005,0.15294277122484704,0.12104163155878608,0.09926526244265817,0.08637373939512275,0.09648777319285393,0.09810538294429684,0.094047975261588,0.09814914841698508,0.10065915133344726,0.09593218897373053,0.1070206365292615,0.09350199410738594,0.10177724185900773,0.12360329763281816,0.09919905043659837,0.10040464848981193,0.10427179647008908,0.09522379432217912,0.096397460919479,0.10105640715425128,0.09693643179132416,0.11665350974225208,0.09671710796511002,0.09713605153864681,0.1755394822390543,0.1266799014148745,0.09758944409843469,0.09865220835143541,0.09782774457793646
+3,0.2985414939258067,0.13747153117769276,0.3669950895462112,0.18452628210392866,0.28851450599947615,0.13247813066631828,0.29569691074883453,0.18894476151529097,0.1527049320258399,0.22422365014066314,0.22232554360645568,0.10866392111585578,0.2868078524782505,0.1952824314935565,0.19332044103756013,0.3013200214720029,0.16981469993977985,0.2080608702658213,0.22003038482141987,0.19452270240677894,0.21889413405437302,0.23705857890618456,0.20335514953477163,0.1952942724452475,0.3007022553653744,0.3331782622556085,0.2434038413055359,0.25147097204021074,0.11767174365623377,0.11284038913990938,0.11737172966041222,0.23086529589592858,0.1211625079449772,0.20353264295165716,0.15619611008844134,0.10245950313088324,0.10178723902005986,0.18475598372064705,0.26872235046035925,0.1323916049781434,0.18079762433108362,0.22159820857123258,0.14381958752361157,0.26777215425622625,0.23143531001188847,0.09980062519611768,0.11400105571596497,0.12126419228612526,0.10907219708848176,0.19915343089008378,0.23042929330584316,0.3152671775583074,0.2732172546062354,0.25509197701384806,0.10954960691851974,0.2677238450242654,0.13712315228409877,0.1195798672161627,0.21175803720561476,0.1518217157495901,0.13783619722628787,0.1720145054216159,0.18218070755728874,0.16672826846922262,0.10852609977816668,0.1317448860915032,0.2688571334592754,0.15313273376119751,0.14430546641193487,0.21757859916610528,0.17317200401581398,0.15512601826477612,0.11101302722067731,0.18025130540926385,0.22528276169368236,0.15443896981017646,0.11462313536391684,0.16529287921500288,0.1191696166817907,0.1760949679637432,0.22982943577863568,0.21115151703318213,0.1566137725328864,0.16885665489255453,0.17499450660340662,0.17284930092595283,0.10386110241597803,0.10744881604953706,0.26392268578472056,0.10898154030320661,0.10957404720453924,0.24043925794349683,0.21309558551953642,0.16561802365602607,0.17644474206095825,0.1360542828988383,0.13674567139540406,0.13330341870647824,0.13038336018924188,0.16657287497945686,0.11257025991393323,0.16849724550073447,0.16917478308788336,0.10393766249700252,0.1310407084701449,0.0,0.13879040762883257,0.10267039775536174,0.15838404002969622,0.10726188784990237,0.1593823575636427,0.12241536274028762,0.08806629560486387,0.12576473695896914,0.13623965900767945,0.2216728387074118,0.16066498893188516,0.12784202979949358,0.17422042439988475,0.11334273900711471,0.15807522977671354,0.22292848204982152,0.25044036841632566,0.2504377975805918,0.20798712092527918,0.27330764860718637,0.11476644100063145,0.16820570594883963,0.12340357521359782,0.1239580822923243,0.14952288314575704,0.10477831482125463,0.2283585274940806,0.1442752000744439,0.1259435491176054,0.1578737808860778,0.28739514144122724,0.1759667710462766,0.11146044762666786,0.147390247823889,0.1303840014415562,0.1058383637994922,0.21776429704319925,0.09470920897561454,0.10648580043639846,0.1575020709387695,0.11030966804297501,0.09451858603307961,0.10593905985400603,0.09230858956620462,0.12839598779451925,0.10422229660889407,0.14283619563243793,0.2726160508546489,0.11813314399266624,0.19894092480212608,0.15846500287890197,0.17284031906527983,0.1055614863431868,0.17528479596235003,0.107781322841249,0.10518516768780722,0.10458499273916416,0.10383327211693384,0.18436466136083945,0.18382162996732668,0.21256822572949507,0.15759804608445835,0.12871849089392942,0.10416845469805219,0.13440514883449586,0.11281613926352822,0.1139017420717515,0.13696714938181104,0.12841214245648533,0.10948994959313348,0.12650126196774517,0.11357325545718584,0.1887821426189833,0.10222614397196894,0.1519466740540184,0.11512461321462089,0.10992942273620879,0.15269846704853568,0.1478754879630912,0.10067769611585535,0.22464448966945208,0.11907590713177305,0.2232036068831635,0.1512735091487353,0.19511886657705702,0.10866048309924861,0.14511670965531165,0.15829091427262523,0.11330336284827369,0.13841017745805453,0.1110095510714141,0.10089379688978062,0.1063567556754841,0.11698381836812038,0.10742785334580851,0.10529022688671384,0.10969393447304968,0.09458231168715925,0.11524351169458932,0.12888486703657676,0.10384130322451894,0.14452919773784836,0.11571279269349738,0.10526019000722275,0.12707864401947508,0.12335586435536597,0.11446893649907917,0.13527780597088052,0.1136491498410922,0.10919318458099929,0.14730525558081947,0.1255901545028728,0.10593545690022142,0.113548358163846,0.10665757497009677,0.10521008972717742,0.10016076426556123,0.1050492265701531,0.10563943395482885,0.10254575500901682,0.10807867853164424,0.10850797173045783,0.10390894952084878,0.1327071817287586,0.10618320108796694,0.10844878675025313,0.10697097176903421,0.09853693727606658,0.09919904516083167,0.09941085367592425,0.10574922795782937,0.1256641675933336,0.105590448305532,0.1058057116591627,0.1727923225757567,0.11920786349525997,0.10498606951894818,0.10649090392230731,0.10430885570912092
+18,0.3002931632573602,0.14233989418350454,0.38041150144193364,0.17594562599010116,0.31940974449912274,0.15074490899419826,0.31077171177811885,0.201909237802443,0.18002489934260055,0.24079717665854689,0.2373079569131273,0.11893364295840392,0.2991688546793947,0.21941913711317618,0.1902978826695397,0.31350104298079895,0.19185802425718892,0.21892893400118257,0.229574443072815,0.2106403638877148,0.2605800768778138,0.2545022520491402,0.2243229263283603,0.19642567692184584,0.32834229135703047,0.3549003729933429,0.2619500309431286,0.23727719040018863,0.1243404871235425,0.1290945463691785,0.1239082057129169,0.24589618232423313,0.14061370947545207,0.21497371021722533,0.16111945530148836,0.11166253707286417,0.11496678824468086,0.2061759936873328,0.2868555430205566,0.13257051619483926,0.20114581811564847,0.24047219394684607,0.1586259070366474,0.2782422365111306,0.24856731213671118,0.11028452105414431,0.12081323794598084,0.07161354131772116,0.09331733374028933,0.1524234003285805,0.2398728082126411,0.32410028887448833,0.28120414644869746,0.26403730694497834,0.11953684951076615,0.2764625688770388,0.14932653097867402,0.12551762818073847,0.22276586646354044,0.16134964014479244,0.1512826095886751,0.18357890148718906,0.22134886604301368,0.13927220343633187,0.0989438764967388,0.13925324627905986,0.283070262615537,0.16991585108444593,0.15934488997770008,0.24927266027987113,0.18570082888173517,0.16578124980086342,0.11997577781511368,0.1860706018297035,0.23939154526492076,0.16318746233940026,0.12129449875098283,0.19115168626078913,0.11833271840428168,0.1521572127779381,0.23787705320305982,0.21888977126820794,0.14596170432028632,0.18052253057656578,0.18351802599815542,0.18635413159862152,0.11504208690757647,0.12349868913728596,0.3002194920990162,0.11503749693569189,0.1260671077665472,0.2505851886701027,0.22637978310193888,0.18135364889667258,0.1927658861700511,0.13509346596966484,0.1501961545927005,0.15298599783675995,0.15010553160819948,0.1819952083496058,0.1273590237348265,0.18810956098788917,0.19549168304490488,0.12361916141270936,0.1352838470857274,0.13879040762883257,1.862645149230957e-09,0.1391554788154308,0.16591393631490298,0.14358145546730025,0.18437675847425872,0.15505597456468095,0.13247882612093162,0.13989356393576585,0.14611413025543285,0.23441764832286868,0.16893034680810393,0.1422577102747167,0.161535510616326,0.1365103558138691,0.17854034705039334,0.22814412019606206,0.25646970241053274,0.25190480253133835,0.21666065202625343,0.2781191799549581,0.14587137264570404,0.17549051155212736,0.13291941551973166,0.14740340288074877,0.14975982137828614,0.1228875915412343,0.2476737702775745,0.14009316170860361,0.16724323331497865,0.1616396634750171,0.2892524271888548,0.1830713673124589,0.10073690028675181,0.1567451654273612,0.1483954294053688,0.11502740676677115,0.21926686660513706,0.11170374300065278,0.11456577230401793,0.16866483539642702,0.11526366868484404,0.10882074273076327,0.11396052181699566,0.1180486788342996,0.13987217470738403,0.13152005192587424,0.1617118742534254,0.28757342820236137,0.15552299523471472,0.22370718780922721,0.10005623839958072,0.19769606701165673,0.11651213517332061,0.19074175500505147,0.1338583433622825,0.10796426072029533,0.11868568002867541,0.11662877469940623,0.1924871421581069,0.1916420768710826,0.22154891353599265,0.16638967134357283,0.1378563590084735,0.11310402761958425,0.1386434664388093,0.09803846230857131,0.13781878663349398,0.15501521317565678,0.140855947897919,0.11510834996633788,0.13826851805208848,0.1459583773360875,0.19653184594501555,0.11387708985776442,0.16744116477710191,0.12896754462800933,0.09457827825388591,0.1628533831293052,0.1728367636692362,0.11102474806372482,0.23822037158096152,0.12662810031479324,0.23340496689599924,0.17407247360816877,0.20368465100623312,0.12599938347811082,0.14590081867807247,0.1646591538104862,0.11631221224721003,0.14125035365316846,0.0848260563055619,0.11272620847011859,0.11298577061876046,0.14137177209269514,0.09859210138433593,0.11327799931965996,0.11933051809348151,0.12219048114730424,0.13454174888872317,0.15144782890055972,0.11700851785462153,0.1569463470360301,0.13709318670204304,0.11170344367878693,0.13751324183521627,0.1288014522117643,0.12406086321054002,0.14688540106622225,0.12146658165942761,0.11615583100082344,0.18698037651377467,0.1332666614496292,0.11400415451891215,0.12476254806356922,0.11167166129738215,0.11455190328595728,0.11081625380866567,0.11310470325803565,0.1164288582292253,0.11199676585143668,0.1221043580538454,0.11446984542358729,0.11702686631393323,0.13923248621937812,0.11402645868109178,0.09722575590491171,0.12103958292106817,0.11864544545820835,0.11112485533745815,0.1160779854980628,0.11204674229417598,0.13147996798832864,0.11183565172197374,0.11205059811457374,0.19014812240294146,0.14113512586500263,0.11125008460602691,0.11229777518955623,0.11269987382024714
+7,0.29282326827037075,0.13841496449435123,0.3769338502349152,0.19136700390857075,0.3024505927049745,0.1347700110559673,0.30001353858548957,0.195987163366472,0.16771147541883902,0.23341691940911213,0.2313798387408842,0.1000971083997467,0.2939498140921263,0.16171182963532038,0.17672191782287586,0.3081286408998748,0.1800038460271695,0.19616100666948982,0.22006840524222687,0.18750344969090663,0.2519570284848569,0.22665703595712358,0.2148139364481963,0.20097497726294508,0.3106007091897989,0.3407968679202786,0.25628573488342593,0.27367750936831053,0.11320555896770919,0.11047128520445408,0.11158900311800753,0.23248763607649173,0.1260126963706749,0.20339245736484243,0.14787186466877106,0.09452457021314487,0.09313525692519184,0.1976568017287258,0.2796918164793553,0.13103126306251814,0.20211533718384017,0.23037654229365662,0.1432932651520008,0.26806540914314325,0.2435087601314675,0.09065140115008198,0.09965893323204944,0.12243281174226175,0.10152776925821183,0.2078597630060011,0.23088227641472084,0.3071178120542159,0.2697464731512109,0.2521338872387467,0.08895991708159111,0.2646578435503247,0.13686303835841687,0.10742838273337177,0.21286291782268615,0.14334321352006243,0.13865048735464192,0.16881221115679682,0.2163648362892269,0.1777554556584532,0.1040281086307833,0.13268572194218906,0.28128733386022586,0.16241631890766722,0.14798843811296472,0.24257912211499028,0.16793496459632212,0.16107706772524544,0.09714765051900048,0.16861942112468706,0.23382717050913734,0.16177162370594866,0.10232213808950137,0.18405110860609178,0.11468943251462617,0.1808063089198566,0.24042848240269468,0.2060691379852364,0.14835041823759776,0.1596899522639311,0.16737235020624952,0.1684672552068784,0.0980482944526516,0.09907163309166007,0.29592056934873207,0.09643127646549587,0.11368711089993527,0.243284264155967,0.21595019924400097,0.14307541434204857,0.18356187035821123,0.1499649434507009,0.13404785529635832,0.13797855341004503,0.14268300954780114,0.1767458758631131,0.1081918353856984,0.17461747062076113,0.18642121490713287,0.09946811918690977,0.12762753265547502,0.10267039775536174,0.1391554788154308,0.0,0.1461152126804479,0.11195117034414823,0.15238178151174225,0.14510951515008888,0.07523696050544275,0.11996578173912603,0.1325759946866858,0.2221241540989427,0.15186489595120162,0.12497126401833328,0.18356373174002164,0.12534371791108762,0.1718565143031951,0.21740019225378848,0.24927773405210013,0.24215603461653598,0.20497116467169982,0.2636834742209868,0.1019678042466659,0.16508282429557883,0.12392135753318757,0.13213432121759158,0.14631572677105759,0.10411831770150298,0.23883278565437344,0.15551140351546255,0.15618648025595921,0.13773435872631556,0.2807919145449927,0.1721934037166435,0.10104364602781413,0.1343029315049969,0.1365949213426496,0.09480186096209181,0.20758869763253826,0.09231357081660026,0.10355189137598853,0.15815545246675894,0.10190037540345766,0.08632950966480928,0.09743939802753902,0.09332494144180488,0.1334077960756059,0.08913501108898896,0.144586433212834,0.28577780520247537,0.14981250112098513,0.22393628487516373,0.16211188838006926,0.1883374104581111,0.09423029168349824,0.18152621911821257,0.11450231585535435,0.0962465533271525,0.10196284799079759,0.09769613342844828,0.1801784141674761,0.18157070062550507,0.2093754029025765,0.15304715883081801,0.12226493282542639,0.08908450786414866,0.11940732409363533,0.1096547407489316,0.12323446769378946,0.15050109466435188,0.1275165101520308,0.09424665496734198,0.12262106958856937,0.1326281792230108,0.18383069083019232,0.09359680250805523,0.15636553216275445,0.11555296004801979,0.10721642224055487,0.1499777375233321,0.16499820954105165,0.0955907637851172,0.2321167342562135,0.10624378779996099,0.21223419575965496,0.1357334349942331,0.19472895923502256,0.10758308609476203,0.14611200875985483,0.1583868257901385,0.09964683509720088,0.12154431200242019,0.0985922511528935,0.09181301266118488,0.0916030313435282,0.1290060237767833,0.10871184482888215,0.08298334704934143,0.10432069585844146,0.09912871043309997,0.11672183834845186,0.13897039986477375,0.09505145624495764,0.14062454258648194,0.13130811905307319,0.09123776085069824,0.08699342584853906,0.10399920545512722,0.08408293417451097,0.1320114748166168,0.10394871617220333,0.10597898095761694,0.17469896524798692,0.10752909304033739,0.09332452167723841,0.11131801348621914,0.0934793862231182,0.09494905498652788,0.09092424023374338,0.08974287528412428,0.09393913014190042,0.09131476733508774,0.10108545387944586,0.09406060752966552,0.09554780227226496,0.11608090347324444,0.09144337875031802,0.10007513530006103,0.10162942520892015,0.09796634399237752,0.09294871315740114,0.09694786972849945,0.09114147596018994,0.10581095755530848,0.0913636353561822,0.09117897456024235,0.18583664722670246,0.1284688777424628,0.0941485159955138,0.09465525883027881,0.09147655045577123
+23,0.3012351809257911,0.15797337921906277,0.3831358131538401,0.20761954533037547,0.32113662304359974,0.15982227847561106,0.31327059410185265,0.17295458398848607,0.18472205918581389,0.24982738961117204,0.24558975288097504,0.12954212519844138,0.29922241568428765,0.22086701364187467,0.2092876783125281,0.31096906446181244,0.19889005632480442,0.227579977065843,0.2325499972290804,0.2173375533757037,0.26457092670073473,0.2598282582047055,0.22876658940855624,0.19668377907564444,0.31964114138617666,0.35812535719296557,0.26319451104993913,0.28184097893858145,0.1438297048507641,0.14365010210451998,0.14040381811869052,0.2274704982336515,0.1521985177483651,0.21916901107597106,0.11537080703739434,0.12844928252693769,0.13073151494882126,0.21258430379684495,0.2913776022857266,0.1456740139334,0.21746874608306363,0.2355949146586895,0.1581018838973662,0.24635956909669823,0.252303986647251,0.12996122163847215,0.1350290013857346,0.15389220109724183,0.13474117486119286,0.2231325772920146,0.22375616634059287,0.286864346799687,0.24241435213333892,0.23413664624709915,0.13092075556270624,0.2748628581857315,0.13169875097304326,0.1313667585816206,0.2296775864306424,0.17008765624096125,0.13721634824272588,0.16069506256424185,0.18399397362171166,0.19346787411981545,0.13556006408169646,0.159277821261275,0.2921382671497411,0.18563275175533644,0.17357867597671525,0.25724009456748514,0.19253946918629156,0.1820173047691597,0.1318220850592471,0.19125490879260737,0.25185536996539065,0.17000235887630938,0.13667735417621238,0.19992891125175966,0.15078861816940273,0.15415644830516953,0.2489165381369174,0.1896254096347952,0.14823039179867534,0.1608431018415376,0.15186569038084502,0.13240582695226114,0.12842880939545706,0.14044862718900203,0.2736889901833322,0.13134205786179395,0.13245474266966828,0.25059305533250065,0.22953253290662448,0.18504986734200157,0.20068977635768775,0.169485064221335,0.1592284472797688,0.15018165158295688,0.16591625999082912,0.18781606322915975,0.12662772720764978,0.19754693705262952,0.19993940442425942,0.13922571283974608,0.15305419579182614,0.15838404002969622,0.16591393631490298,0.1461152126804479,0.0,0.16768161276446433,0.1891691002228609,0.1728460531305592,0.13624985252380628,0.15389569910668235,0.15627584460041966,0.20506199745438675,0.14492845908714347,0.13309345440913325,0.20193195237161135,0.14851621321662958,0.19309783585436904,0.2349349544430843,0.2625285921680674,0.25485040093849143,0.22313563441899198,0.27826848840765067,0.15649653512887954,0.18137820066864407,0.15226759549438498,0.14410065442670997,0.11213743637701912,0.13637767452043295,0.23981997715846834,0.17276982015177547,0.1785120101183465,0.15763131803184674,0.2890848191773829,0.18830125718001128,0.1330455397597505,0.12456916651337292,0.1570277613459263,0.12281715105116948,0.21380619694145084,0.12622523402535882,0.1270404979651145,0.16958656146057827,0.1324057512590351,0.12748227586121919,0.13096100033992567,0.13237460822579258,0.16249621212109858,0.14675767189973407,0.16498366297494893,0.290212307138536,0.16580333993945723,0.23668726264312923,0.1784207472282132,0.20408897631462197,0.13151753357424764,0.18905455690777664,0.14030478507347122,0.13114599862054463,0.13829782136387903,0.13599071320513595,0.19921977705437285,0.2001714485788697,0.22649143829309343,0.17430600710147395,0.1512627905207483,0.12457174754226438,0.1368805411754812,0.138576702774737,0.15120295738764433,0.16997874455296744,0.14888929347991883,0.12870629533889624,0.14472490156027268,0.1496233080779209,0.20341034953240938,0.12912957226228222,0.17311704039209946,0.14455936184287985,0.13844779669773874,0.1639528842530153,0.17813145379459408,0.1346456618313883,0.2425311391514,0.1346908106136812,0.19339751777985884,0.18151759795980202,0.21502690910086972,0.14417302095825396,0.1710636805260223,0.1731262770856819,0.12128069510566743,0.15152983145218846,0.13315961595683246,0.12567588725576526,0.1248032471998497,0.1541872681324183,0.13680331769057372,0.12845930104628794,0.12553719518622142,0.1385220619127674,0.14666450880768156,0.16406923583492336,0.12396630730655842,0.09776109300401636,0.15309365348259296,0.12843209487158028,0.1442071170970552,0.1424329877853039,0.12781295606538687,0.15835986445942968,0.1367835651395823,0.13707142702125827,0.19348862744848822,0.14127343205356774,0.12749666219669223,0.13847906702195617,0.12570151945780875,0.1306653533043787,0.12639845794924628,0.1261309034919355,0.12283794440554552,0.1275792175001442,0.13236958144022634,0.13053466569170463,0.12534128739747483,0.1321903978372236,0.12604046424723478,0.1344261705504239,0.13377628052140605,0.131385147954899,0.12677454364648474,0.13052155346178884,0.12825424039395053,0.13912866601506507,0.12690231215575615,0.12782659913449843,0.20337553658792912,0.14758690982427194,0.12950699496239768,0.12943287957899846,0.12835561283357547
+2,0.2982016385298761,0.14712641575989263,0.36963585907274216,0.1902396701571423,0.2856193727376849,0.13763096497550492,0.28211774395420375,0.1945314765082534,0.16226481840806614,0.22938135607981522,0.22549385023013543,0.11814631387605916,0.28735379905367125,0.1914051076289628,0.19896417481175427,0.30098382178818645,0.18317248546652695,0.21034642690245817,0.22614304789846001,0.17524631757944314,0.23996050184745574,0.2399743392477256,0.21248603730002563,0.17360023076778966,0.2899549509602105,0.3306768394816602,0.2335081294451782,0.23737052970071895,0.13345618599135067,0.1346433774289448,0.12253361423577243,0.22944505790925906,0.13643131289107793,0.21012082578391378,0.16915392950498467,0.11485844428519755,0.12209852603466703,0.19326560180246824,0.26889508403079365,0.13319440383916403,0.18527638817367864,0.21773147291759518,0.15418166411811488,0.27153564751965564,0.22377461562251985,0.11566364782199855,0.1308151153563657,0.12713335636651252,0.1232518383429213,0.17206879617807527,0.23669079832161158,0.3145110547328499,0.27611959865727154,0.26055872797413904,0.12251983460223641,0.27235217658359456,0.1390532184354367,0.13378081259339594,0.20654414597766446,0.15831708798840216,0.14678187854316177,0.17497295878326602,0.1887621844837935,0.15886418121577728,0.11847739057758581,0.13063349713578615,0.26037370375691515,0.16560388360479764,0.15988546890556565,0.22364765675309292,0.18092132790116422,0.1652875199464213,0.12800963429719067,0.18535712268184518,0.21580841736925518,0.1342189622095157,0.1327147363586162,0.17558405358362977,0.1368602746858919,0.15003483739909435,0.20271965993133761,0.21768590053359171,0.16233389374644383,0.1747579894515076,0.18030564927641182,0.18333267336118483,0.1255016913501662,0.12479839550712614,0.26259694308106696,0.1255518548993529,0.12184519300116513,0.24591146766537475,0.21322790629644167,0.17551629439345678,0.17154233447909575,0.140963609547672,0.14773313012349643,0.14562511052853103,0.1317727153507192,0.17288124150782225,0.12698799272091288,0.17403317305171456,0.17130830343515419,0.1156943043815418,0.1333129737503005,0.10726188784990237,0.14358145546730025,0.11195117034414823,0.16768161276446433,0.0,0.14382484794393813,0.13726170230233106,0.1071012482389939,0.1407302697194489,0.15015836145670192,0.23180591882761684,0.16816895276924787,0.13840870589986237,0.1578942590626161,0.12275063174707541,0.1663667599255858,0.22872265088159013,0.25716543631508376,0.2517514415575545,0.2142361035446032,0.2746099743376173,0.12667475752000387,0.18051043921354237,0.118105602974561,0.14346912731271644,0.1477011091592813,0.11950574026684413,0.24090013288766707,0.1385153248108746,0.15148593435733063,0.1637369332809982,0.28799170364416554,0.17993877661029287,0.12409523549229667,0.15030342046499895,0.13645577259207542,0.1250721100045578,0.21658752536639828,0.12172330344840972,0.11768749631064862,0.1720655355487212,0.1312597198906016,0.11505294353941019,0.12022804193838234,0.11798245975610006,0.13602777311112993,0.11277973432758547,0.15249160258215305,0.27115263077098045,0.1303821127004769,0.1715640610262555,0.13530535836111104,0.15213068929017642,0.12158748437702183,0.18907661506440027,0.13086655224828694,0.1180909775529067,0.12423311931897063,0.1188998496739645,0.19061610633170664,0.1903002286049119,0.21664829599349367,0.16883264338985968,0.1386863981915538,0.12200950226576747,0.14055317606611611,0.12134580139268336,0.13154763565696653,0.1426800727334891,0.1399250925235888,0.12644148611765396,0.13487294747991024,0.1359655129795716,0.19354044218966635,0.11436516611515148,0.15212140888459202,0.11814687988058177,0.11141961680535944,0.14287966718222475,0.16056078818880512,0.12047845527657136,0.21761225279380156,0.13023104197745616,0.21919776747997305,0.15872103934094545,0.20444821049115747,0.13188265537842322,0.13720568033148786,0.1545862806185952,0.128074297862378,0.147028940613912,0.12632790471633298,0.11334138131104407,0.12465118083076866,0.12744742267415413,0.12921534541468643,0.11941824275641172,0.11156620182591083,0.10953404026146306,0.11503298114497812,0.13567984379186696,0.1258226860675159,0.14368075866564475,0.1218474217000586,0.12390202651252197,0.13444988938800517,0.13479943355133728,0.12686456332733922,0.14609275551682693,0.13359664830231963,0.10369118171390569,0.16228083981280383,0.13985959272958035,0.12586414655419184,0.13590336400054456,0.12215151424881257,0.12527785135710623,0.117167197669048,0.12443540272341304,0.12685060618293437,0.12263665129705288,0.12309817133431625,0.12645282755467616,0.1244012486718817,0.14625605228160105,0.12413927215209211,0.12154464479638169,0.1271536234284493,0.11820851009325423,0.12185461339414409,0.12207142352107642,0.12430527172760968,0.13963437955237393,0.12399656899860918,0.12301105143416786,0.12999063537269645,0.14922874477746648,0.12111362342710373,0.12442947246936624,0.12436002137318226
+4,0.2745898987287641,0.17260788681542075,0.3489658765582186,0.19181649821923374,0.2802224866176921,0.16051720249982518,0.2663111414690601,0.19861306091576886,0.18813213614851726,0.23978818866423052,0.25212129271495937,0.1628634967693555,0.2640698696918429,0.2029840923459608,0.21040919233550096,0.2857311688893768,0.2055792793326133,0.21937739495039377,0.21899391821044306,0.1936942678076082,0.26025201942090975,0.24168634077963652,0.22944135137240437,0.1818709896754153,0.27278136977232087,0.33926418405221653,0.22064165394515595,0.24342284154316432,0.16608894285196338,0.16680930202919936,0.16303936056072021,0.2277906262557027,0.1528940560728263,0.22150375922882332,0.19794717330405756,0.1507912008845552,0.1640018488212463,0.20942749017373402,0.2885153527394254,0.15098810360721854,0.18366045548784427,0.21726246440306113,0.17248660500708357,0.2915742733286397,0.20205939204994794,0.15646701431172805,0.1657431812006505,0.17606976761657894,0.16488517837594363,0.21840350556153873,0.2449612454925183,0.3301794432422624,0.2885264635800712,0.2818137343383113,0.16183341642458,0.2528743140498962,0.13738631414845864,0.16227169886778361,0.20549113843890776,0.183817535506323,0.15688368396832655,0.20418218061386717,0.21310318805800016,0.16171220312708268,0.14046094704951922,0.12900940475748732,0.2660781359557987,0.19694612597242125,0.18868010042485403,0.24753743697815186,0.19599128177371108,0.18385714435448872,0.16441042081619558,0.19183480383056806,0.21263230584451764,0.15571030364015778,0.1688526027971628,0.20147179778019716,0.16998214741864598,0.203004478041333,0.19147588617580716,0.2446487220224705,0.18701176424513577,0.19943058635558278,0.20808282811010917,0.2070818544347224,0.16271013244785323,0.1621554738450516,0.29955447265254675,0.16346139997825732,0.14649883785665513,0.2346640586991812,0.23081542603167127,0.19757642764175656,0.1788348369167019,0.15148432441813742,0.1708540393889077,0.17063355990636794,0.1483464901604443,0.14773315498828835,0.15676637177547587,0.18004102410287648,0.19854528595381463,0.15541544433038418,0.14067760728743248,0.1593823575636427,0.18437675847425872,0.15238178151174225,0.1891691002228609,0.14382484794393813,0.0,0.171597079506482,0.14257095381058632,0.17465127226798197,0.1777315360745357,0.25646250211053945,0.19738020135703602,0.1763375891241608,0.15860147464582222,0.1625271856925773,0.16832920194309925,0.2195327060471697,0.24068761145243914,0.23689556007545898,0.2039727482995264,0.26026910612611825,0.15626523621206434,0.1959099944702357,0.1698137595014677,0.17520249568272428,0.18134220138656337,0.15440346502380536,0.233700354654286,0.16132208346306373,0.19523562514293508,0.17538761374909836,0.2668194743667451,0.17419309446189576,0.16187157711761485,0.18392397433632848,0.167756539700944,0.15967533042462723,0.20464722475924102,0.15813630415283886,0.14616145927170499,0.18742073424995734,0.1651892994372319,0.15855299819816213,0.16279487505730816,0.15963932989600538,0.17416185895665354,0.15407856071765708,0.17942278594834823,0.2384644584628811,0.16831353524360348,0.21951503712842127,0.1928801349103921,0.18666541829959662,0.15642955348666987,0.20024304617514746,0.16189587897296612,0.16336928394559827,0.16444832056832087,0.16058335781437774,0.2176368895855775,0.2183678106784641,0.24059757201887214,0.1954173826359008,0.1751221142705485,0.15958774852284277,0.16651703778106924,0.15325576264753232,0.15834671994297606,0.17234705668320852,0.15989630493502544,0.16218002245881788,0.15966838760386468,0.16944648244495186,0.21055214626176036,0.1586431890536339,0.18002916077452896,0.16694900266773524,0.16584798609280574,0.1797005911666618,0.17108585389162648,0.1546798356846463,0.20635602819431517,0.1504082635034547,0.21606400561569938,0.1854497070919543,0.2195768542781614,0.17038516945266563,0.1789416972536693,0.18146444663252287,0.16636750777236117,0.17540647613366014,0.1659604299884977,0.15884363879878866,0.16324078204572906,0.15972179432824354,0.1623972089160482,0.15731892800384908,0.15023742542076016,0.16088782876719496,0.16200586302879172,0.16907098460031222,0.1639719830426691,0.1654123419429147,0.13752181273079583,0.16286866986330992,0.16645609871804173,0.17007059361803123,0.1658439999372933,0.18271008787725668,0.169572450673161,0.1467323743647631,0.1862133868865566,0.17687624730594328,0.16292900500797636,0.171453658550797,0.1599554885306797,0.16546505842512876,0.15917830696841695,0.16279081222134856,0.16538074242745307,0.16162716782678055,0.1560760605135958,0.16453732170403537,0.16439446523486012,0.17001397125718382,0.16294904447222333,0.16689313054038718,0.1676431619993408,0.16180494596272635,0.16245197836203934,0.16579612337408767,0.16316553133921743,0.17649889031016727,0.16231788309344966,0.16292898460555477,0.19943701709154923,0.17605895469701044,0.16121221250719614,0.16288846432093612,0.16378759793914244
+14,0.3031178369590891,0.1449895056918549,0.36666073088861556,0.1773292395430507,0.286928898128842,0.11438587139121599,0.2809914869497362,0.19280966369659963,0.15947773605552484,0.22619688794108583,0.23528875792871906,0.12716808164177237,0.2627203523781912,0.2027088747078558,0.19077364233837646,0.2756681835696161,0.18343444643994225,0.2060565812398368,0.1994819009478277,0.183770811080936,0.20709677325930495,0.2294611531647947,0.21802322930099421,0.1720750567757247,0.2965221281904563,0.34308329885780153,0.20624597562829736,0.2347429945446178,0.13410521346983953,0.1358947945719201,0.13212683332012215,0.21827611553141413,0.1206739535529007,0.211413636968092,0.16942474477104574,0.12322730498243147,0.1220912439767202,0.15886830007656275,0.27265374374516427,0.13753978802799302,0.1702463281378612,0.20021747674211413,0.15109555215181916,0.2783710851622273,0.21472556712237992,0.12236086833032192,0.13172480104176792,0.1410369356229947,0.1309967140454175,0.1990936565190828,0.2261694452530851,0.31943171130342735,0.2804634715269619,0.263344553925153,0.1304060682627763,0.27558375655487855,0.15249292191947075,0.14014098870263478,0.20156016742809682,0.15775007831512589,0.14912522314214147,0.17549903474980383,0.16975570962718434,0.1614546865605718,0.11803537187962178,0.12716230668247905,0.23677847610919045,0.16950782426972663,0.1615987191270306,0.18841253569663816,0.17658669848175884,0.16524252461890337,0.1299685990265321,0.1921525418254842,0.2182113137416443,0.16106625214295625,0.13702774631704026,0.15547583629188802,0.13990009658574568,0.18310580861635287,0.20154757003603593,0.22182066046399587,0.17382145936819787,0.17999275985395985,0.1861812335839736,0.1888996760482414,0.1330424427608488,0.13183342314771926,0.26818553383843086,0.12721081726079972,0.12908481315317594,0.21891015536349873,0.2179774758837776,0.1748349428915472,0.16564348530769146,0.13757418253323042,0.14811656936110112,0.13629454016386613,0.12613271243501764,0.1713734662350843,0.12568075693334466,0.16251022186504407,0.17626085003476347,0.11041150784970653,0.13915773074997595,0.12241536274028762,0.15505597456468095,0.14510951515008888,0.1728460531305592,0.13726170230233106,0.171597079506482,2.634178031930877e-09,0.13730507850008153,0.1432410689579457,0.15171402938236878,0.23229508465095589,0.17617508275798455,0.13929949320624355,0.15742221606162263,0.12483753785013976,0.1750683163634431,0.23203182968368508,0.2613293500917713,0.25771623045654657,0.2112218740386322,0.2779887803152169,0.14386113209293255,0.16322202091899055,0.13657765300895375,0.14769680410283448,0.162564827394654,0.11366500238468366,0.21010984669365937,0.14956475254170967,0.11515279781035273,0.17009323453377728,0.29218143716157075,0.178510659262418,0.13235702787859294,0.15598998229360675,0.14919478877693135,0.12776913238732612,0.22546878735983655,0.12377533417195032,0.122009730248834,0.1490651045907957,0.1254808600285515,0.12431071144372347,0.1301953097082195,0.11719360786513511,0.1439227753403358,0.14163214210607214,0.15566350138380228,0.24600158498303304,0.11378964235726538,0.16748192133006262,0.16921927127111966,0.17352972747934592,0.12295945357598248,0.16054701308309266,0.11423738008764371,0.1254290099535684,0.13183071448420303,0.13098343488139205,0.20000463551660233,0.1985474735279937,0.22491907152598362,0.1739186135127223,0.14734702896952692,0.12641007451677103,0.15275585708313705,0.12381302088950653,0.1202696679860247,0.09482583318629594,0.13563739671836839,0.13152987776340647,0.13547310512052144,0.13001067411945616,0.1935703791413922,0.12256432922173624,0.13899514995910123,0.13103097059838464,0.12793727677361014,0.14198599739870077,0.14478863346970267,0.11150878969687439,0.20714493363840877,0.13688350380386258,0.21804009070202016,0.16750096685572688,0.20368686917212667,0.12364462235985557,0.1583609322167712,0.14080601226648595,0.13359114738611594,0.1539818926999155,0.13167006300233777,0.12344851500925359,0.12878273566870255,0.139444990884567,0.13945402569474602,0.12765713460596087,0.12643960102517596,0.11799791696074631,0.11258136162212572,0.10909496250132428,0.12065687466891677,0.14392780524888818,0.13345357415229722,0.1285256742437172,0.1419888418019738,0.14375354476631194,0.13342568862599888,0.15568621985753958,0.13375810205753552,0.11980713686697547,0.15564274401857378,0.1433913734173595,0.13073719039658552,0.1353670306407002,0.1294618809604664,0.12370364042015056,0.12211483505666665,0.1292792712193466,0.12957454860900167,0.12562450796953267,0.1273216006305165,0.13129427602873656,0.13231594566136617,0.1522075277155032,0.12427664139578354,0.12949993449590405,0.13347077421449013,0.12211535980664603,0.12726572359953323,0.1297292628753843,0.12919231846746815,0.14142443897770834,0.12872776287538748,0.12847844950651804,0.1733054590980752,0.13445429747022666,0.12798892401927187,0.13120390998480982,0.12620906360337933
+5,0.293652720709255,0.1327317443534474,0.3721288398119352,0.18620017410016332,0.2971142921841513,0.13148428378610882,0.29475039834885225,0.19018164260351753,0.16336881891060392,0.22992626967608326,0.226325701979049,0.09029996097055042,0.2879154667545327,0.18419509759609312,0.18537072654642467,0.3049057089539306,0.1721811742033317,0.2077994257260496,0.21834218787803572,0.19598502713397042,0.24453744266774444,0.23810576248212903,0.20502840628345634,0.1923365309518407,0.2986550025722192,0.33617913399368404,0.24385904348712006,0.2670531469175787,0.10633095536993135,0.10444611713784042,0.10668712716586695,0.2144466487610107,0.11873241662213102,0.2015546511854235,0.14690369724033522,0.08992287285856816,0.08426134556302302,0.1883980583267431,0.27602505238921526,0.11694841913185783,0.19430229255391904,0.2148174756668622,0.12407046312333377,0.2581530151375391,0.23622307165519202,0.08713890114499977,0.09675102141101119,0.11691581205712824,0.09620502874451785,0.20315489595618114,0.22609040952850087,0.30269601495628606,0.2547510928464172,0.24443401147100546,0.08944818576599736,0.2622598164753817,0.13191495718244656,0.09391896600070969,0.20648004613378185,0.13692167380391682,0.11806685548938907,0.15487181523700252,0.2083480414514328,0.16354114839112988,0.09692790704554381,0.12606281393024843,0.2715038565858792,0.1585329500978621,0.14346609250038614,0.23429264394453492,0.16111217115838133,0.1550986817822732,0.09358576703671309,0.1715378376265062,0.23200399489648793,0.1554993754858498,0.09846460324562507,0.1728912779212789,0.11650441347888275,0.18043291531834826,0.2326778126435389,0.19900845103591605,0.13919855201990963,0.15229702428976288,0.15337533230310438,0.1590369666643502,0.09294013021414871,0.10554316477726636,0.29213865345119217,0.08969627362895141,0.09992392607543306,0.23684588296512513,0.21052256201055164,0.1639437115723176,0.18246076699049568,0.13912697771467436,0.12013171320844546,0.1263620562681379,0.13253411200699727,0.16393307466575482,0.09217623566238735,0.16922379930708417,0.1792746869662395,0.09560187481247201,0.12236502930555825,0.08806629560486387,0.13247882612093162,0.07523696050544275,0.13624985252380628,0.1071012482389939,0.14257095381058632,0.13730507850008153,0.0,0.12086634028456622,0.1265536789054827,0.21198224772099417,0.14534238380492814,0.11797854506947719,0.1772358751650607,0.12196681134639803,0.16538186409847708,0.21337091183464635,0.24617200497632946,0.24349968826243693,0.2022685650956229,0.26344975463817133,0.09552895178881263,0.16330605964369913,0.12041479530650882,0.1212175815322136,0.1420836108654955,0.0978164273467655,0.2295583878720069,0.14359756154302142,0.14695800428335162,0.1374838037235689,0.2812352192542689,0.16646010059977023,0.097371559742054,0.12994355308311706,0.1329427436144937,0.08380977063124381,0.20853252233967629,0.08331856743151471,0.09126801542852274,0.15380202486930988,0.09740720200375796,0.08030276039374856,0.09273935948635978,0.09404514889368176,0.13777146263407722,0.07920084842652601,0.13791826050949715,0.27858377971798765,0.13563045642614494,0.22057408378861676,0.15240680936242215,0.18482090472074109,0.09210436782897338,0.17656869705852052,0.1061862854584163,0.09224406358692688,0.09815733301425715,0.09742847536940333,0.1746713178927902,0.1762446279516277,0.2058516117665033,0.1484437989769248,0.11526741261273626,0.08553572413960242,0.11873139124062629,0.10193947592818117,0.1180340744796924,0.14141118711823897,0.11671063481009672,0.09141113160373784,0.10825019431045274,0.11563616182464667,0.18103780516509982,0.08744188569150847,0.14477041139330227,0.11214976198461706,0.10330622617165736,0.1403805064986893,0.15107204590790985,0.08986994662866987,0.22329703619114533,0.10433805449121268,0.21523768231845933,0.15558780913635464,0.19192068565400705,0.09883725461520525,0.14199259644122184,0.14738762549297058,0.09053429138771187,0.12466408708544045,0.09297468431184905,0.08759084055252048,0.08922147420070833,0.12331515397847775,0.09752274509590793,0.08879740117345904,0.09187438698149708,0.09656199964775569,0.1125194957750511,0.1340006336215863,0.08639511123856755,0.1355342380195408,0.12161772933012321,0.08725361409302923,0.10993030946771597,0.1080368362248141,0.091619468034595,0.12681994642837888,0.10062482257146294,0.09846365335791225,0.16637021737370428,0.10442067532695232,0.08715961634122674,0.10547454705154613,0.08882510232231514,0.09145649746423647,0.08746539860033671,0.08537640667793123,0.08988327418424659,0.08630671230463036,0.08589801358810781,0.09073256885893916,0.09170566160689965,0.11058840204132478,0.08703263692328699,0.09604398831730876,0.09417132492137638,0.09610957379115798,0.08605761386008101,0.08987945236118165,0.08761449175516471,0.102536596343663,0.0871769528424652,0.08738885981787242,0.17932614408545985,0.11742596280062563,0.0900550941633467,0.08837708849863471,0.08798569875384764
+93,0.28662104907263236,0.1071203970154735,0.3344828464794164,0.16881133650999328,0.2834358243033901,0.1214006136496683,0.289427521883833,0.16537920687207927,0.14829830976335884,0.20143824967929513,0.19851364667286925,0.09663780353672065,0.2876351743947437,0.19766510919576125,0.16644871251600532,0.30428185535884067,0.1459310263361604,0.18829277912523076,0.21832993141025964,0.19072486419841522,0.22307258758496984,0.23034647249736404,0.1937063335233301,0.18545259106985215,0.3075891571952271,0.3147411819860689,0.24433503603610604,0.2517075346672404,0.08910260272542678,0.09606475187613235,0.08800698467604638,0.22706098420062304,0.12610353823694634,0.17094792100668976,0.1495810465823708,0.08901806471118605,0.09692277605517145,0.1709631938874463,0.2522471352380613,0.1108009560533024,0.19178552602556512,0.22051963378546421,0.11954942353632927,0.2650159467807345,0.2255272058131833,0.09470939430987599,0.10066509961008645,0.12266825570805472,0.10104423334583175,0.18873215683852324,0.22922642333397303,0.3133628334870883,0.2684637379960934,0.24484217232372837,0.09493393770618172,0.2669157484105678,0.12550411346612733,0.10866911159493672,0.1802890182610802,0.1417605934473878,0.12214101218229295,0.1693956868848157,0.2117302946675784,0.17528125711200962,0.10117494472827629,0.12920712862850411,0.2561187900769128,0.12439797601266751,0.10265849781419062,0.21113900282394713,0.15570517048784982,0.11935848670395365,0.10164849059215068,0.17063490664238531,0.21756348297238812,0.1452825480681816,0.08133020885919949,0.1514195718066971,0.10260344319968659,0.17702782520969204,0.23141220130362175,0.20791163072185184,0.152935395818487,0.15814908421763643,0.17113487316583717,0.17386529237936707,0.09877651714621237,0.0936451241684099,0.27863560696814554,0.09778947402745264,0.10456035716156321,0.24157214070090804,0.1954483350189982,0.15740436113573827,0.17990680448143376,0.1424511458484541,0.11034645831262285,0.1326917527263294,0.1279595311947063,0.1560084742711915,0.10823559949840408,0.16933370719997703,0.1745435481662387,0.1008136823360853,0.10571360749897038,0.12576473695896914,0.13989356393576585,0.11996578173912603,0.15389569910668235,0.1407302697194489,0.17465127226798197,0.1432410689579457,0.12086634028456622,1.862645149230957e-09,0.10399055679554643,0.21494754140164749,0.15548934310436924,0.1266245494243038,0.16992636744503822,0.11721708050522237,0.15950944808021242,0.21595193603494373,0.24697044559850476,0.23838307788839558,0.20047786608057705,0.2663567054064167,0.131147764789152,0.15344888905931608,0.12093734301554054,0.12998840922933705,0.1442090916789563,0.10716341372542681,0.23292554382307518,0.1516085111904232,0.14874086132368572,0.14546388218888281,0.26993872207867786,0.14997761606968832,0.0983253148571689,0.1372809841536566,0.10914217657642825,0.09575118576197687,0.19506743369396018,0.09942901544348715,0.10542847567630688,0.1607506161330494,0.10426996455645902,0.092908968647159,0.09563018729528218,0.09375614239125728,0.12600663287627975,0.10999420958091054,0.1380077129271778,0.27680950519292247,0.1413668785266691,0.213694079035268,0.15950426236485582,0.18182253914494034,0.0798808184576049,0.18365594730920026,0.1100168307271718,0.09243282909915325,0.09189787604903032,0.09455495681397665,0.17196855151612297,0.17125644659843278,0.18951429644231424,0.1458689766530391,0.11255170704752397,0.09502990308880817,0.12285479547981656,0.10299051178624041,0.11448939850225727,0.14960924933583258,0.12364091173179545,0.09681508086393448,0.1096864335550139,0.12254836293380902,0.17001957152466834,0.09368396305830545,0.15544065596708115,0.11255606395072644,0.1052614741458889,0.1502057916143241,0.14682350000584538,0.0853570708429394,0.2165913932086114,0.08559055097124288,0.20304166253837394,0.15080758207666764,0.17003138124336137,0.10318139497597627,0.13801693588893724,0.1578116760657852,0.10301117945745251,0.10572938536279072,0.09929183748742276,0.09592822377101816,0.09443509914644022,0.10845679695255882,0.11024467016516921,0.08783270339741817,0.10277760039212419,0.09526005487770194,0.1182974082110402,0.1321372719170735,0.09646200992593656,0.14191450279351472,0.12398796277040781,0.09217708395305504,0.11152504803470586,0.08722424815132555,0.1005016720930372,0.12242840959217455,0.10545146754737211,0.09970985109498705,0.16540648223438273,0.11696338445335212,0.09488068463351307,0.09292670395267096,0.09209235113893605,0.09567555718000345,0.08934609089137052,0.09361806508397429,0.09692486659590657,0.09208899992015983,0.10568196619331853,0.09536933095397904,0.0982828645274298,0.10584050908303308,0.09632327406074447,0.10057270202465142,0.10180321813843511,0.09557491091355391,0.09420448189384041,0.09473067882970194,0.09252252944075433,0.11520176081839918,0.09281039723289847,0.09256977290441123,0.1836126509885073,0.131485716109807,0.09304090805138322,0.09457521568664805,0.09270562704595613
+411,0.2940460158227937,0.11076122921024707,0.32962371839734556,0.17642632386805873,0.28660143637085744,0.130203529558686,0.26058084440211543,0.178217025361042,0.15930582944782715,0.15538960455322298,0.197050629816366,0.10332000292465622,0.2857970305190207,0.20608818037381824,0.1767530009014435,0.3045123607611021,0.16768794858409236,0.1846429904098391,0.21945534749783574,0.19149912057117033,0.20017111842945626,0.22757700335305897,0.1799799783518275,0.18715440696770305,0.30582515369991786,0.2844026898469059,0.24160866135266199,0.25570018524005544,0.08334235890305627,0.07974431352596098,0.11182308533454467,0.2260843611628208,0.12811616805834136,0.1312110205851651,0.15561589647459764,0.09758636553074991,0.10550828418471782,0.17451891274471093,0.24759145569212274,0.11351487770638986,0.20561013084005014,0.2203112270042674,0.12057597456561632,0.2703621657607613,0.2277052737361398,0.10202315291670037,0.11229651668402985,0.13134870783788846,0.11056622194671416,0.1943805740123813,0.23230433163506367,0.31723750142683727,0.2719015726255407,0.2575679708756821,0.10884550668235647,0.2724110672021061,0.13843791797571292,0.11518565179552165,0.1739170291488834,0.12447720244107564,0.13945702406206423,0.1752275125898534,0.21667357963502323,0.1747494158350641,0.10716302911211852,0.13068316491424217,0.2590858965575896,0.13849056365652024,0.13017450438048853,0.21685690477768635,0.12001865960280582,0.14284445214516678,0.10890561383980812,0.18247506501859923,0.19645693095534786,0.16159131166671212,0.11090034054943744,0.1522785988819533,0.11091789459374916,0.18693216837978371,0.23063009653907288,0.21292784778073984,0.15930470986970996,0.17660893740161437,0.17658841209217271,0.18029450785988002,0.10941494877273253,0.11335610624962984,0.2918681591428691,0.10602767684003625,0.11320550243371853,0.24141531574672656,0.19631799894961546,0.16816717041920018,0.18909018495414287,0.14255246271510882,0.10759033330870754,0.14233672774299383,0.1413342758425363,0.17860860524359534,0.11511555213904914,0.1717083757667642,0.17842025976272835,0.10954361532557905,0.12782337580621897,0.13623965900767945,0.14611413025543285,0.1325759946866858,0.15627584460041966,0.15015836145670192,0.1777315360745357,0.15171402938236878,0.1265536789054827,0.10399055679554643,0.0,0.23056782101650578,0.16174871830405127,0.135419433723166,0.17242285962460585,0.12531391094326577,0.1488714933326487,0.22032618502950116,0.2517203996295244,0.24725374449476534,0.2033002014706841,0.27187291638927114,0.13413272168489088,0.1699121997866953,0.12829940433773376,0.13176651151975785,0.1505684774114988,0.11462506886264617,0.2445521746285666,0.15537270930650848,0.1544735601058976,0.15462462522530693,0.28354841068720277,0.17144147970667833,0.10761531318939252,0.15081269429768845,0.11710578367639161,0.10397360706325888,0.2130299152406085,0.10733267822772932,0.11322209536983364,0.16416615409731555,0.11209721539365948,0.10307227114004579,0.1054870761993948,0.11026542896704436,0.1448683695595088,0.11715603228294483,0.1480248065947983,0.2754463449895915,0.14960279993319595,0.21657929323655717,0.16502990586082364,0.18515181065917685,0.0869904799994532,0.18729008266680294,0.12176375382704192,0.1053198202597349,0.10438417918650608,0.10811533248243066,0.17653526374085188,0.17739283274650577,0.20650971575992413,0.15245371737261776,0.11835303130018392,0.10272438029385611,0.13255461003545776,0.09923544098784107,0.12432884706223198,0.15461390810270345,0.1107056154648187,0.1044897275230175,0.1120266018836808,0.1304470642708409,0.13384604464143435,0.10304719125362817,0.15741070805970642,0.12033033254255729,0.11433994753815795,0.15195022847985698,0.14146206696409633,0.09374719546749018,0.1838746441358353,0.11271400802122394,0.21001108204878674,0.16235532164909244,0.12752789052389754,0.12022677710229372,0.14607560505917927,0.15973082659555723,0.1108797627636825,0.13464095731494935,0.10695958580330592,0.10448971646427013,0.10197606221786035,0.12793625257774574,0.11724608415020418,0.10095753774525183,0.1048293900222828,0.11226007727004425,0.12585799259381894,0.1382611365600941,0.1067408432116679,0.14710452944451027,0.1276363222831038,0.10018227298066619,0.1265108705871782,0.1219159809769385,0.1136669364759866,0.13128788047071785,0.11385971454989796,0.10569261732978445,0.17065607259514548,0.12446312517321667,0.10201498594473439,0.11982446937629863,0.10205735707675391,0.1042621238528642,0.10016018671777403,0.10191344517021596,0.10485808655515429,0.1003776415621136,0.10982348052935381,0.10308599636986812,0.10678558744902196,0.12882869178924372,0.10465351532100722,0.1084628378743236,0.11241088776527533,0.10627949697842085,0.1017509113137138,0.10591494227651427,0.10043470701665416,0.12112100475370306,0.10062661386776456,0.10060446827089263,0.18926004685541992,0.13414480293060074,0.10318465976053205,0.10342022056897913,0.10129537108624541
+165,0.34971865314302364,0.21860000790712802,0.399425518674827,0.2521628520887181,0.33004454797852434,0.22401840428775657,0.35128114466177546,0.2649141006121512,0.22538574388913754,0.29893864435876116,0.2890084414406763,0.19987407524129325,0.33615214146540817,0.26944623349436014,0.25359433746224397,0.34746989929740535,0.2506524883393342,0.27365239901888916,0.28059308585827075,0.26686041764582297,0.30132688332877144,0.3006527979983008,0.2822382351330259,0.27101379269358583,0.3022551637647324,0.3708895684353854,0.2878074562985993,0.3049592526749513,0.21952379239362593,0.2192588914779252,0.20792141048666832,0.22160703022443085,0.22516062893548336,0.2759207764519596,0.24033152731795437,0.20940644933983904,0.21075030707633718,0.26833600511419775,0.33127739043282345,0.22107044979715873,0.25934443681404656,0.25763785666076733,0.20721531893248624,0.1478960227766229,0.3020485435458393,0.21196418861177388,0.21536010692549495,0.22597912219022803,0.2140376812713925,0.2695883747285756,0.2114818596625253,0.1772905346667982,0.15367689792846698,0.1251195874852803,0.20852525340901293,0.32910319272044525,0.23314167945637962,0.2177656273101495,0.2816106951625332,0.24054677722690382,0.20998310274133228,0.1256426096480826,0.2748865418885012,0.25404818913854693,0.21279202354278884,0.22472403612545458,0.3194188305828213,0.2456943341361219,0.23237616815371323,0.29689336281812834,0.2561716998820722,0.2405582009635461,0.21591109894467875,0.26053268216017694,0.29941067405384725,0.24533990957417903,0.20723689379639554,0.25277100574556055,0.22376894687845228,0.2608377363038177,0.297274830733688,0.11413868070902142,0.154308206092897,0.1302879072576488,0.11819255692215765,0.1427045755367636,0.20765284125507155,0.21751411269252452,0.33172166164304673,0.21158086285964245,0.21195376411195452,0.2978618890968664,0.2814688502918303,0.2371911627744176,0.2622856143675464,0.2359292212619113,0.22670535814332873,0.1800896602193313,0.2271295418236175,0.22635420868902495,0.1839227642184515,0.2556913452707081,0.2626541152138265,0.21458559564521856,0.21618586439290255,0.2216728387074118,0.2344176483228687,0.2221241540989427,0.20506199745438675,0.23180591882761684,0.25646250211053945,0.23229508465095589,0.21198224772099417,0.2149475414016475,0.23056782101650578,0.0,0.12101221304997915,0.15943736525260477,0.2568482496413965,0.2203711474572975,0.2505409196653261,0.2902305589384243,0.31356612595952177,0.3110534468478613,0.2792598873291986,0.33224329570383054,0.2224355295654649,0.23286776236218032,0.22575177771323945,0.18446693417664084,0.23970225427089764,0.217413982762178,0.2635683494730725,0.24217852262812423,0.23451739482875028,0.24274378495496868,0.3403915025213614,0.2520946288378764,0.21433525336069084,0.2388082870146645,0.21823358997418038,0.21048214094772433,0.2848317446788529,0.21241053073218075,0.21569136446227566,0.2403843691659958,0.21417809510786892,0.2087385257534863,0.210212059045804,0.21236052984039966,0.2332292248070943,0.21877464834209392,0.23602809055472837,0.33236010554033774,0.22603744732052203,0.2705176985571298,0.2465733111925885,0.2546161129019603,0.21233176076470958,0.25574414072056373,0.21684230141756797,0.21197968720135565,0.21727054506650836,0.2164271849036615,0.263027360178963,0.26298833737469923,0.2771579237524898,0.2443964016265625,0.22542507884149632,0.21126788452161394,0.2279242024875804,0.21415267758031756,0.22165508987500046,0.2364227838284726,0.2277469769810684,0.21374883605870595,0.21630957386535385,0.21660554322647108,0.26283334162287125,0.21200444335007376,0.24171622382144042,0.22139630399828936,0.218475875583498,0.2423340883212576,0.24070671074965372,0.21002629868113334,0.29546746189687884,0.20921861095874264,0.27911056227210584,0.2410060825087204,0.2710912257527753,0.2177826994378994,0.24069253442551292,0.24022090338731164,0.195265831726914,0.2284018866718432,0.21321731591597437,0.2111812096117452,0.20928938550772283,0.22485277435042852,0.20835226886587113,0.21157979480399908,0.21451749955818292,0.21542815609157287,0.2234923439089316,0.23070707896830345,0.21156028100220492,0.2296042578989121,0.2240415888505922,0.21148139117084863,0.2136148126415899,0.21293269955667937,0.1888773779901114,0.22979026020992227,0.217023007691691,0.2135051862622316,0.25007946162191386,0.2240814822170328,0.21210880864184306,0.20678984477024812,0.21007423540644593,0.212837509841401,0.2107224213354079,0.2119061476834078,0.19584221071520666,0.2113500190796866,0.2175719744961986,0.21310082219029422,0.19772345459718202,0.22693514934546055,0.21183180450622743,0.21415879760032225,0.20855701678499505,0.21415582626113822,0.20974654772400125,0.2104448414783531,0.2117419816637312,0.22244178444604815,0.21185214939293223,0.21070289968244457,0.2523173397223549,0.22340968282106266,0.21065784867190396,0.21111551729882377,0.21106764705638514
+42,0.3090521081319504,0.15819471025918377,0.3764416619610502,0.20405808844920162,0.3092983231520287,0.1601894867785802,0.31468045921260235,0.2156141744533179,0.17464036359452365,0.2485139038865407,0.24393326897116527,0.12376711062707695,0.30107675050849886,0.22389495731242104,0.20960929328097466,0.31603892311603476,0.20177388785881334,0.22474197174115265,0.2357056437495358,0.21715868095920812,0.26595580085783455,0.2606522880413438,0.2312789143773209,0.21884859754918357,0.2960933438346827,0.34676241794308044,0.25523416037393215,0.2730861581923689,0.14596144483231807,0.14672514407261183,0.1440209301595377,0.20048741138769988,0.1563528250332814,0.2228717301421268,0.17357065843655936,0.1304272047683989,0.13582401031236838,0.21828136630521636,0.2934061445534497,0.1544322136169962,0.22062610335319968,0.22544219184291656,0.14793333504306957,0.17251968718121194,0.2575680380808368,0.13386741409612812,0.13927786983270626,0.15679129556631372,0.13663876091594626,0.22113427981369674,0.18804400949362635,0.21552194832105076,0.17605644323165046,0.15616327910638184,0.1334066440744646,0.2867327329130854,0.1661711427606818,0.14165728860853927,0.23182435399081022,0.17571697846883472,0.149048520283709,0.10016362561432968,0.229130697816483,0.1984750021655474,0.13802347849848423,0.15869093414831162,0.2865566309444415,0.185697147709904,0.17702279314187147,0.2561822199032244,0.19907919190895426,0.18764627276354723,0.13760929215225315,0.20064645659512742,0.2510486608791306,0.18360325677730563,0.14032842162711878,0.19899033547474984,0.15379199020440362,0.20485413691194493,0.25531704421196405,0.10520885724469661,0.10039756950269364,0.11332223058473845,0.08593210310101569,0.10440236357367086,0.12786023697791862,0.14277600563767834,0.3041616340246354,0.13469784743151264,0.14095655614935548,0.2558653444474844,0.23268003051804464,0.1824296226038763,0.20868078607391546,0.17689808648870733,0.16240857069963274,0.12552571296400988,0.16240524868424946,0.1829340776811124,0.11383471156371891,0.19773865004657878,0.20452306624807165,0.1395797643295778,0.15760190818604042,0.16066498893188516,0.16893034680810393,0.15186489595120162,0.14492845908714347,0.16816895276924787,0.19738020135703602,0.17617508275798455,0.14534238380492814,0.15548934310436924,0.16174871830405127,0.12101221304997915,4.562530187486071e-09,0.09477891346302003,0.20167068930777846,0.15034181008522482,0.1942418099532273,0.23944831691491628,0.26917872948453997,0.2632749257023655,0.22680919118509027,0.2884065685143186,0.15693406736943813,0.18397804336110507,0.15458761903931054,0.1197671081643796,0.17354335113631592,0.14420276139602772,0.23860149649114434,0.18206279001020348,0.18081189422831592,0.176271590739697,0.2979969829207619,0.19304875107360775,0.13585529793252402,0.17379427592633814,0.16139813213771467,0.1319897927857155,0.23174074962855698,0.13409100539764462,0.1402012178741099,0.18060353539201895,0.1390580244999399,0.1308537375728761,0.13206784441162925,0.13857806856415975,0.1679541921327481,0.14699914594765226,0.1683363690455104,0.2963245393098242,0.16960980278500024,0.2285520860941508,0.185752252112121,0.2030108301989297,0.13607501626082835,0.20262833728160543,0.14590499472740676,0.1348440479157342,0.14127240943805539,0.14014638698472148,0.20334047330520652,0.20412928871649572,0.23022906435051113,0.17750623204304616,0.15293953149299871,0.13221164742426372,0.15679671151249858,0.13975928936564402,0.15114014401232234,0.1783966858113154,0.15804731503989009,0.13530958701667656,0.147712823026094,0.15568664700057677,0.20634678237844395,0.1330884566384445,0.17988326336951527,0.14926508101966007,0.14332037031968267,0.1768608564610298,0.18404908201976578,0.1374706668006117,0.24693880304711086,0.14339329993449032,0.2380988830826288,0.18466523948490876,0.21551023019949808,0.14980122573739968,0.1745783497639266,0.17902947360832522,0.11604827514846497,0.15738886711708913,0.13617539403707019,0.131950483984015,0.13049424676362747,0.15856200114382046,0.1332730761706426,0.13232939125793586,0.13973560043638755,0.1426679645942668,0.15097882664939763,0.16725972302613482,0.1358830559502426,0.16313002546205455,0.15677360652126818,0.13222184558244848,0.1455571236095089,0.1488052603282397,0.11399707839407726,0.1606063381883085,0.1394258278270867,0.1359157084988459,0.19398097548139365,0.15135868058434787,0.13300638733179376,0.14389043655715378,0.13134437983558275,0.13518338242587646,0.13161996306485702,0.1330865959113602,0.11674101955539051,0.13274172616906832,0.1416701401373109,0.13424608182031794,0.1187379950650981,0.15334107263115748,0.13254665787056302,0.13804620117542996,0.13264106454505073,0.13824264977155087,0.13168975435123717,0.1340242239534765,0.13202002473682983,0.14893301736234932,0.1324327452656726,0.1309633415253287,0.19909827086960344,0.16039663973665727,0.13229097067057527,0.1313841190368535,0.13166639286437226
+83,0.2966740912368686,0.1323358496311546,0.3636496413291295,0.18246486868578463,0.2988130908371513,0.13049388000107537,0.29784232326855153,0.19193108955209143,0.14870427649140486,0.22642831107354414,0.2277307140810868,0.09617091086429458,0.28198844555155483,0.20184288244655593,0.18721188374700512,0.2974312200885415,0.17730850063861178,0.20697171061104305,0.21440425422589038,0.19670963388934665,0.23928834356778486,0.24095964430057248,0.2106666283822417,0.1964219893724137,0.29478497969245804,0.33988137704573096,0.2376238573730479,0.24692972343724978,0.11735937522677212,0.11675501686912503,0.10747797862503168,0.19853154584335767,0.1252576942283386,0.20322853835774543,0.13967620752064702,0.09997525373898679,0.10225685484871948,0.19005434861287634,0.27560612611270197,0.12479711341176712,0.18631800171115856,0.20117938870357377,0.12736615371830676,0.2067605720874776,0.22133536201549547,0.1022261501608765,0.105846733474473,0.1270665449289463,0.10750659951558779,0.19930242009057414,0.17767303318011182,0.2489870242094779,0.20720738911891168,0.18852832982199705,0.10036795705834296,0.2736100119144735,0.13643173932541186,0.10973114297393649,0.2119874902184234,0.15012125549188635,0.12578372978729893,0.10651221412401575,0.19336143736694933,0.17141387183528545,0.10298745753473544,0.12908285451239215,0.26206079400441784,0.16157482615155544,0.1512237462111814,0.22436348897492142,0.17546231137425639,0.16298543465044837,0.10863910773191521,0.17906257726630487,0.2308275284627803,0.15763292287535202,0.10915837603090892,0.1690431037045821,0.12543954098710527,0.1755003774605544,0.2263051016032553,0.14121095084589147,0.1090839667922194,0.11594774180389637,0.10581814810035578,0.12376808914227565,0.09894092740687664,0.11031092582646823,0.2781392283878617,0.09796499482102143,0.11118545726214384,0.23411306001718438,0.21617172190636308,0.1608831939260882,0.17866738154806242,0.14396753892338787,0.13332434022828454,0.10328107163419202,0.13185985745143,0.1472643802024662,0.08811694606505073,0.1710556685726849,0.1767489008167275,0.1079877243196243,0.11791610220998318,0.12784202979949358,0.1422577102747167,0.12497126401833328,0.13309345440913325,0.13840870589986237,0.1763375891241608,0.13929949320624355,0.11797854506947719,0.1266245494243038,0.135419433723166,0.15943736525260477,0.09477891346302003,0.0,0.17347351249851348,0.10402601333310212,0.15837324113594453,0.22278463694920053,0.2546118518196289,0.24957023491958377,0.2099437485055716,0.2747553541227325,0.11760176011905711,0.1475062063606687,0.12052225712719206,0.10465807858864958,0.14494861647772922,0.10678902962521722,0.21829756057492375,0.14773450331667853,0.1453558287887957,0.15465135452518008,0.28625903901504207,0.17301689444333307,0.10751657382344414,0.14922776963944617,0.1291766678969509,0.10170567762828574,0.21559451384922693,0.10481648538359907,0.10842537950549888,0.14983856701367398,0.09450390154783672,0.10001757267458469,0.10401641112536501,0.10663141846268498,0.1253720480855071,0.12130865861299372,0.1439226469491577,0.27406048242101233,0.12119273187897858,0.19847874290054746,0.1598328407675417,0.17319140879982067,0.10339366794899792,0.17157785279033774,0.11320887323469608,0.10164847931187725,0.11022249955923163,0.10864835689773675,0.18280956619815872,0.1833079903664664,0.21135139922830026,0.13870523051404274,0.12450701088488002,0.10143521350627152,0.13321554761245782,0.10815903025840459,0.11994618671220506,0.1453313163171546,0.12632748080965747,0.10511641049082866,0.1173685712510474,0.11623358139404977,0.17464627913251565,0.09953616663619462,0.1578604910579703,0.10677151764788706,0.10945846971308629,0.1477949554697109,0.158777001402945,0.09869558959244455,0.22981885972476332,0.11428200820183866,0.2170647982721904,0.1588029349230636,0.19546067207935297,0.11353871962022247,0.14210540903284416,0.15599041331983193,0.0958151011875629,0.13225688154382037,0.10638988505107205,0.10136585333066933,0.09547850184116956,0.12849421516120424,0.11205400778226618,0.1010773824284499,0.10839174393519987,0.10303637018472248,0.11986020701326348,0.13404921819335452,0.10160902793754532,0.13864794085591808,0.1275616348984002,0.10120565500670543,0.11491632949553916,0.11743933207773567,0.09028955135376732,0.13405324759603,0.09875080513618949,0.10658969352004329,0.16370246182575582,0.12388562441640803,0.10046669185554585,0.10754347984665301,0.09993124420744516,0.1043160470945917,0.09689573505596413,0.10187525675714006,0.08811267620829241,0.10118015621491519,0.10762932196890315,0.09861859903416965,0.09333268729083884,0.1297606370740926,0.10370450735843662,0.10679891165589069,0.1036363429458046,0.09968855452207566,0.10009343205427228,0.1031584839901958,0.0998658031110316,0.12220695424230608,0.10155050733442482,0.09966962727287174,0.17557655789429105,0.1263205597089649,0.10158582551238396,0.09992237642392307,0.10154217286544519
+218,0.31092423439805905,0.1548354857356341,0.33185599422399853,0.15469671561178353,0.26341432475443766,0.13704301781466924,0.24436311205326533,0.1802373086313368,0.17710452221565806,0.21693368445640043,0.23350457010270068,0.16463699208718885,0.2648975944302634,0.21460217321633648,0.1916770856287875,0.288624478749691,0.18796568546042047,0.20062915972085021,0.22577720016771888,0.18548407009800738,0.23500591470614937,0.22663445023788117,0.2204409409307265,0.1497222473534067,0.2650962788554265,0.3242113397226256,0.18237066716642292,0.16631819771284861,0.16092406386549257,0.16585111674477335,0.16620246360677943,0.210221750436311,0.14962823479835005,0.20751467600411114,0.20552502682152876,0.15390714931439892,0.17104308184034966,0.17814174516686831,0.2610783804001652,0.13820859153368814,0.17696470685387705,0.19074420963966277,0.1616636558460751,0.28529394481885717,0.165940463233688,0.1669297917521652,0.17712444482728004,0.15794497642244268,0.1663378868342841,0.1574889170666111,0.24245283164009235,0.32695182454326915,0.28882224148708996,0.2785460860762661,0.17240248188775634,0.28650882434130454,0.15683862235033535,0.17740247020673994,0.17264625850283932,0.17675649746247962,0.1709165395087915,0.2039755176814395,0.196939518593872,0.14772212433403167,0.1313351739129722,0.1225196594531466,0.2110086883994131,0.17943657018700926,0.1785154402969831,0.2031282507188485,0.1845056634281979,0.17003521954410944,0.17532891535492864,0.22217721981763605,0.18422915783239538,0.15777391734657142,0.1767412128690667,0.1732074521759733,0.1594081978075908,0.17032062821135835,0.1557429183229717,0.24142373322005245,0.1909622421680135,0.20509746525334538,0.21223308656082154,0.213888097331965,0.17190677847790461,0.1656723713813346,0.2744100172046236,0.17162924694956982,0.15250657665460532,0.243200827949237,0.2269147593528445,0.19651299138883238,0.17462109501286927,0.12200200213202987,0.1731061292988785,0.15927827884229093,0.13405422686566904,0.1635294498314542,0.16115823002233126,0.19064461425551302,0.18410481905338133,0.1551085319152099,0.15704623639384355,0.17422042439988475,0.161535510616326,0.1835637317400216,0.20193195237161135,0.1578942590626161,0.15860147464582222,0.15742221606162263,0.17723587516506073,0.16992636744503822,0.17242285962460585,0.2568482496413965,0.20167068930777846,0.17347351249851348,8.33000234328132e-09,0.1603001321587208,0.16116613051588516,0.2517277978378447,0.27524203756037,0.2724782931164452,0.23175883727971489,0.2916189210456172,0.1819077350439417,0.20196136519207256,0.16092591390116057,0.1768481267056264,0.1763982175007179,0.15874568699593164,0.24328428328042032,0.14371831674037752,0.18666589353800295,0.1977806814447611,0.30334847173988766,0.19309032639527404,0.16802677640508848,0.18661286561360807,0.16720102246946678,0.17150015320529663,0.2407657481534261,0.16881645137268503,0.1505226521685445,0.19999561886209263,0.1728948076691715,0.1679171683646606,0.1711504779014519,0.16704201293433088,0.16944548904830625,0.1763437063712873,0.17602038428758335,0.23070045285468668,0.15844085627456447,0.18189729722525655,0.16442501990118932,0.17138391794710642,0.1537391552281591,0.2129175023419257,0.16021906826096682,0.16701028071149804,0.16700805910503,0.16603001814791055,0.22057270292069586,0.22014734598967847,0.24167114693756184,0.20012600199346417,0.17838774501164886,0.17024733146755924,0.18863375997471304,0.13986102540835593,0.1494583278432229,0.1710938929926977,0.16368043891973325,0.17251934688754667,0.15644135031764253,0.1677012426048772,0.1978277048500671,0.1592421889048909,0.18175653022529947,0.16049503719250424,0.15612882019233673,0.1828851610909712,0.16479483184424076,0.1499337217863439,0.19004764234150204,0.1666018566379692,0.21103688052014427,0.19219776583633916,0.2124561165633185,0.17924073752172962,0.16235983694624712,0.18283307683317795,0.17391512067259,0.18954434354008023,0.1648102675128109,0.16114908494795316,0.1713779341558428,0.1571799886910622,0.1637343547505442,0.1653697737928483,0.15960969223104296,0.1655674711447951,0.15895311723497257,0.148535764453104,0.1710157750536012,0.17303894918951254,0.13250111621081448,0.17032281294010063,0.17513579286008443,0.1826261795340313,0.17462748751184295,0.18319485987260062,0.17697877271607404,0.14898723946481163,0.18049278359771345,0.17758620517035595,0.1715312581895012,0.18014559723080129,0.1692900172382401,0.17196736583906494,0.16308234689738843,0.16928092057748872,0.17204916323118558,0.1700151821060304,0.16980232219477115,0.17210007393623808,0.17200308130488684,0.18694059406854427,0.1698947849165072,0.16601215136430614,0.17306011108033675,0.16266645379116487,0.1689626166187345,0.1722639227346698,0.17033841794980803,0.17817494846064957,0.17049460762395868,0.16998007595897166,0.18708729079743017,0.18661934114480902,0.16962311858467563,0.1711199035708247,0.17090021398469216
+209,0.29119124116919726,0.12753257806704735,0.35668998572739286,0.18195052581224513,0.28716657339406826,0.11744554855115334,0.28593946326564357,0.1812990945507809,0.1232476573821598,0.20371086500140614,0.2110033126224506,0.09734086911650953,0.27919763772494716,0.20192305690253842,0.1848349586221206,0.29710903704137887,0.1608761986946766,0.19949208855157494,0.21558412580125605,0.18692754555692798,0.211080196987041,0.2357709058912384,0.1922750077404324,0.18082937049204761,0.3076228905643414,0.3331229573748787,0.23294176994353608,0.23363412124055924,0.1081914463470237,0.1109876287820654,0.10746007628942263,0.2273110102737606,0.12266486723935718,0.18994061084283606,0.13909922737462974,0.08558961939248737,0.100200710776713,0.173207828935486,0.2546652432522534,0.11679296276129134,0.1879318879639642,0.20401261908974472,0.1369224756388034,0.2660737506590456,0.20093878269240653,0.09293747609716052,0.10250439700247721,0.12175777928894439,0.09510265444624579,0.1914667272688542,0.21613097323160746,0.31316847025412897,0.2686381194041428,0.25299727713917425,0.10268810943464139,0.2701240320491,0.11873145372999719,0.1084399993585083,0.20035063081221297,0.1437220358929703,0.13242195017746194,0.16624740079677405,0.16507964309708217,0.153214039256035,0.09539971885150916,0.12009451053466258,0.26109977793067574,0.1505403482704375,0.14352938462898626,0.20031929195989104,0.16870210350601622,0.1546684075896288,0.10455199951458417,0.17344699620070067,0.2073295152804104,0.1423547873598365,0.10696525283105598,0.13797790674003832,0.11750035118602935,0.17039106724890557,0.2149110699114948,0.20522145397967598,0.14437402698482407,0.1670181228148732,0.16966818649824225,0.17333560007371257,0.0893809028678395,0.1000242859365798,0.24919319062298015,0.09531549631047943,0.09326344902996356,0.2384798162975848,0.19617318898027875,0.16313876316125522,0.1681994950521372,0.13631932165364363,0.1309583384644033,0.12458619538215224,0.11519318318052496,0.1550800732956941,0.10996179651398737,0.15414126755693355,0.13579503716302743,0.10022785397618961,0.10792464307350617,0.11334273900711471,0.1365103558138691,0.12534371791108762,0.14851621321662958,0.12275063174707541,0.1625271856925773,0.12483753785013976,0.12196681134639803,0.11721708050522237,0.12531391094326577,0.2203711474572975,0.15034181008522482,0.10402601333310212,0.1603001321587208,0.0,0.1442606942481332,0.22059921546960176,0.25049473527263716,0.24521514491252325,0.20509680091848767,0.2720852990537343,0.1276314980712392,0.16393099848218984,0.1116320042163631,0.12027934636837304,0.13894807616907634,0.10208381523456446,0.2350589870542063,0.14070716259174523,0.12013286488061496,0.14958311159223184,0.28132192096233927,0.1690448942447386,0.09594167681111643,0.1389961155406055,0.11622298602206596,0.09877648482435301,0.2078681525399081,0.09560847834731515,0.10201858936917214,0.15508902224864235,0.10225179146156417,0.09636317319487743,0.09151328429080217,0.09511409383602834,0.11374890984384214,0.11269580721938821,0.12478883422646923,0.26131931127401414,0.09816352076001374,0.1771033056817585,0.15467552831498887,0.1389974906993803,0.09634208518035474,0.17597227015932068,0.10017919734173167,0.09237449973459862,0.10370355946264986,0.10370923780023014,0.16434300127705093,0.16497552556911055,0.19326538687417355,0.12232410861772826,0.10959419682119936,0.09769113268864557,0.12302838527903633,0.10456346087870329,0.10627799967657366,0.13863281914375358,0.12256710565648003,0.10127691450620555,0.11349771862237511,0.10912816507764611,0.16865439625977535,0.09202955727366931,0.1484959254353294,0.10417781983551558,0.10191857742850333,0.14100572421532992,0.148856981567317,0.0894680206957243,0.21373320516882793,0.10267333388277722,0.20998189546330082,0.15391085010724706,0.18714621535623027,0.11388872326523872,0.12856027376106396,0.15287444100347652,0.1045857626450931,0.12346130336823788,0.10225665741610108,0.09102557559676369,0.09536399276862792,0.10878264749608309,0.10605435777611934,0.09645022278834235,0.09967040581570025,0.08705174571577734,0.10919936639421167,0.12273083466821502,0.09322132190036976,0.131030455089796,0.11199263676949789,0.0968847791707181,0.12130419695407277,0.11858677372799369,0.10775504705998117,0.12157179303576965,0.09854933624779769,0.09247582344532969,0.12121632390310648,0.12098504190527747,0.09935985752132095,0.10667600023738472,0.09073025649186271,0.09966744750909691,0.09056034894771396,0.09687263634918399,0.09848351308329423,0.09646646216783536,0.10734304038040009,0.10032209454345119,0.09589679065757722,0.12253327810128382,0.09608612738036049,0.10183727668129083,0.10208379533487434,0.09296729574825399,0.09659858737112548,0.09727044080691687,0.0962325714589893,0.1190440322592873,0.09745869298100057,0.09610881201598948,0.16148807129869966,0.1299002200999937,0.09252212484865416,0.09576590668350578,0.096315827247964
+195,0.30471420331773175,0.1609587053300406,0.3352284807686579,0.19096193611562795,0.28644222125969254,0.16121213973138973,0.22829356298459966,0.18806826065437482,0.17852304727701598,0.18861037886288198,0.22858367086584827,0.15427225243304407,0.2756083648371881,0.21891224859873878,0.20439880715141764,0.2977303434129999,0.19010869718691986,0.21020957567576365,0.22637510443051367,0.1993221502994192,0.23137627787727205,0.23745355844499297,0.21393387876922612,0.17968250335322972,0.2963131546346642,0.3057719603713059,0.2273655173003089,0.22120471452833285,0.15233171165949033,0.14116651044256506,0.1498367243174128,0.23637873109831375,0.15136073124300226,0.16943974163597625,0.18580537692680488,0.14605051111804415,0.15850338196811023,0.20824918288268252,0.26930528872107234,0.15201906902191023,0.19510252743802406,0.22403933444018165,0.1678327332156982,0.2857549800371219,0.19171477276269228,0.1513141665943851,0.16026074800900852,0.16770814573556528,0.15725011982924703,0.20892723776386685,0.23182011824624574,0.3307213177480752,0.29102205451994195,0.27620503624725395,0.15628947319298742,0.28130099985403295,0.14502265034012737,0.16150846406493305,0.1965412462769943,0.14293854081720936,0.16391454617221657,0.2015483223409114,0.21186030211851992,0.17892352480150936,0.13975646132890643,0.1375592780515834,0.2680358858152107,0.18115014162671436,0.175335266679692,0.24093663530457948,0.16687594556733365,0.17361038769814038,0.160074958660042,0.2086557757295903,0.16347993902606794,0.16232754733454985,0.16176555283650523,0.1927133815918055,0.15764933926618824,0.19559085587545094,0.19780896586037675,0.2373715417671108,0.19391329639515648,0.2004761953756201,0.2078756746013768,0.206724430837221,0.14910753310945038,0.1554172859539242,0.28631009632640914,0.1564950898432092,0.14193621438182755,0.24296020542303676,0.225901321913414,0.19327800832610276,0.1838137722954321,0.13325115972852783,0.1612630159208187,0.17424715847826308,0.14982671609775006,0.15622013037841043,0.1574520614675279,0.19607955536265487,0.19958362135432778,0.15637354921499266,0.14447545537256087,0.15807522977671354,0.17854034705039334,0.1718565143031951,0.19309783585436904,0.1663667599255858,0.16832920194309925,0.1750683163634431,0.16538186409847708,0.15950944808021242,0.1488714933326487,0.2505409196653261,0.1942418099532273,0.15837324113594453,0.16116613051588516,0.1442606942481332,3.725290298461914e-09,0.24578713656669457,0.2684532878393099,0.26451102902154755,0.22874148283915582,0.28880566916266137,0.16171793936469464,0.18620617948814966,0.15870163762648867,0.15774733579940875,0.17364631395196975,0.1487313110135116,0.2460813115395995,0.15475367437293172,0.18809801685508182,0.18894490365056776,0.29634337300581665,0.19664798624271154,0.15629173490318238,0.1806196019138791,0.13805872647409365,0.15644385025032895,0.23029880384119716,0.15115938800679016,0.1476750163582875,0.18995302244072587,0.15561140645998425,0.15542877792632268,0.15542787877394965,0.1549855159821434,0.15999510682114274,0.1659546701159575,0.18074996065237833,0.25304095895652057,0.15526048232898262,0.21978317590040952,0.18949149943756327,0.19212061115173124,0.1462868832920714,0.2030283891168946,0.16225673981551764,0.15222095730134774,0.15486873001241824,0.1538596644963921,0.21341579975803046,0.21371819225844413,0.2377588171614856,0.17996497243053156,0.16801667435806902,0.15541795563725092,0.17194637357998788,0.14003796867653606,0.15737127650088925,0.17526680126350028,0.13433787883767864,0.157565401341842,0.15755548324773586,0.15678583538173912,0.1453440483240511,0.1504681749857067,0.17233073238463523,0.15311777758407635,0.1578577517737662,0.17616112442755427,0.15684062557453243,0.14649054466974845,0.1746379904160699,0.15072660809805846,0.21729109978714445,0.17999897948017676,0.16631808258808023,0.1656296777680425,0.17009016688812795,0.17880951446743915,0.15985856342617344,0.17253499448722726,0.1587326935851503,0.15339275285994866,0.1543936019594633,0.14368750065350672,0.1539529714293996,0.15085504617721238,0.14740111199384295,0.15076231184851765,0.15969346201903734,0.1699641205389414,0.15571892224604544,0.17108337399516713,0.11609804073607441,0.15522869593215793,0.16516527179818943,0.16405951382696563,0.15969981943157202,0.175530816641411,0.15396660169425908,0.14365414412586172,0.1865994996492396,0.17056829313918093,0.15663574626548696,0.15747261831204884,0.1527974032393041,0.15693089698278903,0.1498835225105616,0.15517294399562134,0.15602614151190777,0.15521289544198744,0.15588089810125755,0.1537395930104977,0.1506673228467978,0.17371091463693114,0.15772125307487736,0.15833863390223446,0.1560941564932913,0.14848990040846297,0.14951867648360284,0.15228475520215082,0.1544685350288776,0.16946377423297035,0.15532520814473794,0.15409492883150827,0.19569473856028072,0.16447849639252,0.1546870063855546,0.15537379096970358,0.15574296106033783
+169,0.1521011533242499,0.2155696446822536,0.3249943824334215,0.26049251353298697,0.33714705750342727,0.21390290018270838,0.352604415102467,0.250286667780269,0.2409219865669421,0.28496431308085296,0.28808506744533524,0.20364207019336528,0.33085668129679807,0.27267870151286566,0.2590411498751645,0.3502377720703997,0.24828165102071667,0.2757271137891385,0.28018036539929114,0.2652773672913626,0.2973217229765014,0.30337459272212136,0.2793061656346565,0.25607601862382834,0.3146008622820433,0.3864767712641476,0.3079083309519345,0.3200151807444991,0.20821421837792872,0.2083349780326705,0.20958299416132353,0.29500713511588245,0.22017301882238532,0.2670516703501042,0.23178282948964612,0.19988739150052268,0.2030100397863458,0.2627256407184604,0.32746425353011993,0.21222869363674357,0.27408868893858834,0.2903421956999932,0.22685802107903746,0.3255525572360463,0.28418051307906544,0.2039868347963085,0.195354038403649,0.22020299392970694,0.20575118242858442,0.27243006810533843,0.2908740016792468,0.3655314391887862,0.3279122810016137,0.3123707678646112,0.20472691920176145,0.1478779406529686,0.1990201765496218,0.21034085724877827,0.26930130286793,0.22760519843006524,0.2139593929832514,0.24857360653647917,0.28312893579500137,0.252712451558344,0.2065780198552847,0.2218084709204011,0.3302512783961399,0.23721060278881684,0.2304091401727793,0.28924192211661387,0.24134205337333287,0.23608120973964183,0.20621252225179898,0.16392833344225768,0.296106963282469,0.2344977884789013,0.20674715948430558,0.24866033938064874,0.21705382280105526,0.25639433484612856,0.28764872102482525,0.2777952935353018,0.23739822330574437,0.24823823227406824,0.24989205091215472,0.2531139936646463,0.2053642162201314,0.20235964978397827,0.3519928928044819,0.20137718745382957,0.21078446427976114,0.29886370701283516,0.28190544512311577,0.24759941129596544,0.2583370195971215,0.22720320591437432,0.22218745916787144,0.2259990129195313,0.22659033967980918,0.22891924370573064,0.20927642548312833,0.142976833732935,0.25775628106888704,0.20159450700002934,0.2070100112606178,0.22292848204982152,0.22814412019606206,0.21740019225378848,0.2349349544430843,0.22872265088159013,0.2195327060471697,0.23203182968368508,0.21337091183464635,0.21595193603494373,0.22032618502950116,0.2902305589384243,0.23944831691491628,0.22278463694920053,0.2517277978378447,0.22059921546960176,0.24578713656669454,0.0,0.12396383327208609,0.13027590487947083,0.11296145411439565,0.1502434220669873,0.2188397714168295,0.2420529793562293,0.21981145418045875,0.22038628096922425,0.23193110138689055,0.2092177683685477,0.3004991489212117,0.23735242129949927,0.2370143592217033,0.1658657984921727,0.15710445363634432,0.16343421673789055,0.2071267167939024,0.23234188081453583,0.22462567066320724,0.20365960430842808,0.16354602088704812,0.2059745489788928,0.20753677742273452,0.2360497052858612,0.20739831753842725,0.20195114142351456,0.20474938600959422,0.20803869775167982,0.21503077036923568,0.21316528008409108,0.23351958752997057,0.3215834340136165,0.23391460778211462,0.28950001565241845,0.24347247432719274,0.2631167621009272,0.19816966801692992,0.25371150031392264,0.21269084229235122,0.20513776118145757,0.20758203949455803,0.20733510534724836,0.2565170375235619,0.2565539549265391,0.2783978706919612,0.23689328888920758,0.21477399237213035,0.20209454094607995,0.19717561967141134,0.20861898344278704,0.21678342677120002,0.23215440929332795,0.22070798890969295,0.19516639749545234,0.21357340857952292,0.21907605410179473,0.25428986065737585,0.20425428372706803,0.2400622248023604,0.21440649907109266,0.21077016528575027,0.23621761131441155,0.23798676883559186,0.2015281866721178,0.2882443312819895,0.201618312190563,0.2831788441187474,0.24381142891915225,0.26391098739281466,0.20960332858110278,0.2331085506423717,0.2409474238271397,0.2070295988358793,0.20468829666308214,0.2048095269413228,0.2037280744583576,0.20371774930852632,0.2197598210568358,0.20936796388758902,0.20026403630386985,0.20925364743316252,0.208457401460783,0.21402692367311618,0.22378897339636666,0.20486709610953638,0.22906303867763794,0.21809671575600423,0.2023855386208591,0.21494312973887014,0.20446594855317984,0.20736200220739764,0.22433050657793777,0.20650102763498693,0.20704755384516024,0.25113766246147057,0.2146174953197446,0.20343319209292635,0.2123432364996431,0.20282470504427558,0.2042531392395639,0.20271960114924012,0.20308057000524848,0.20461176857570437,0.20105803303937658,0.2090978211288944,0.20264958262363486,0.20570549226562587,0.2093088955198195,0.204080073572002,0.2065808784025913,0.206269006570364,0.20581360168657462,0.2023457977213848,0.20530317338496235,0.20238577964224774,0.21319663455766485,0.20139756180134144,0.20243716912232795,0.26378327590468376,0.22216793301102744,0.20301033100199806,0.2029097249365905,0.20190058880558395
+66,0.1292962682401012,0.24500659788061643,0.3244220016206437,0.2829464620717612,0.35005305673956405,0.24205611680902434,0.3684542941555792,0.27163535335976907,0.2669390218409781,0.3090977062515343,0.30872537812598944,0.24077213373691225,0.34824414915867624,0.29588677913332245,0.2859990127719854,0.3658463141504295,0.2735318756400266,0.29943526503573603,0.30340611156602615,0.2886043166888592,0.3176059348420552,0.3237319346693496,0.3031665769983552,0.2781309020725749,0.32149895733895023,0.40171758236161603,0.32768527546692416,0.3313476930356144,0.241262360249596,0.24181049392656373,0.2418640067435176,0.31693949403173205,0.2518114511661914,0.29115493871416936,0.2644137051803079,0.2344862547074318,0.239083561461277,0.28766197776597147,0.3444173906465861,0.24071817885999494,0.2958789673311256,0.31270924332878564,0.25657130984256815,0.34478353766175585,0.30015352433830383,0.23868733523004043,0.2317570018825284,0.25120488817113695,0.23998382561759724,0.2937203132983846,0.31323405738278975,0.383562386534859,0.34866432946891956,0.33381591336187083,0.24030414810838885,0.13373447279167547,0.2253569976376866,0.24492022500239613,0.29240756375932375,0.2605200964794503,0.240716853996518,0.2783440159310237,0.30377593227600025,0.2763410446765368,0.2388673941519267,0.25063167425240196,0.34919398030163307,0.2648771330320464,0.26086623380716695,0.3125303150084574,0.26879891443107556,0.26382343051458895,0.24129174739780693,0.18660962584559804,0.3166676166666298,0.2590283687570147,0.24167682287187495,0.2764206680575941,0.24813046365501662,0.28051636133644897,0.3046030746814347,0.3030652843959219,0.26555273087938003,0.27606860061261673,0.27871058755876127,0.27933672084636924,0.2388109334022405,0.2335248786151422,0.36693208424674306,0.23828092392957356,0.24132423415295748,0.3207036134785984,0.3046274673621219,0.2734547649199244,0.28052334548675106,0.2518713642079628,0.25426357804229177,0.2571410405302566,0.2547706361765692,0.25271391008608984,0.24355130031578726,0.17044947046896708,0.2834029052702755,0.23521404468730586,0.23783432951933595,0.25044036841632566,0.25646970241053274,0.24927773405210013,0.2625285921680674,0.25716543631508376,0.24068761145243914,0.2613293500917713,0.24617200497632946,0.24697044559850476,0.2517203996295244,0.31356612595952177,0.26917872948453997,0.2546118518196289,0.27524203756037,0.25049473527263716,0.2684532878393099,0.12396383327208609,5.268356063861754e-09,0.12396721604590577,0.12187042271929505,0.13972721020694476,0.25101176183772583,0.2698760980376802,0.2519083379412123,0.25083368957588326,0.2616723079787433,0.24220156951206176,0.3209301463353424,0.26296526501710416,0.26747127664835596,0.19504414453852195,0.14262763518923113,0.1874422554303837,0.2414935141034749,0.26089872456879765,0.25396729610594776,0.238724209771747,0.1719490145547601,0.23997907198622714,0.24051208046881442,0.263950770872138,0.24119214809562825,0.2362814113565009,0.2389650377129765,0.24097892917009225,0.24167204929924377,0.2465727782174328,0.2634740305145685,0.33584285495130795,0.26043118166732443,0.30949494927512444,0.27006021961576726,0.286472896588319,0.23147757875157923,0.27742327554871515,0.24608205413385376,0.23926789011410565,0.24209587453314876,0.241325591768362,0.2849378238248616,0.28483051757358496,0.3040655026865008,0.2675058137204552,0.24843921151096557,0.23707823761334537,0.22442311343320812,0.2417002578736559,0.24809328674309147,0.26191534729547555,0.2523686240474776,0.23007810563965814,0.24798432000073714,0.25047953608362683,0.28110205221595297,0.23975292411695145,0.26785057906058773,0.2474559669895518,0.24429974301561508,0.26524518870464553,0.26286711690766557,0.23621236288188568,0.30859430936381516,0.23341953617130218,0.30533436144015474,0.2684117395437158,0.29053789363617716,0.24610215659084075,0.2625470136049032,0.2695735373129249,0.24165430212922798,0.23445542441584227,0.23838441448428896,0.23879527745819037,0.23867568388481405,0.2465380520000659,0.2407366942030651,0.23493127051743434,0.24165629407554198,0.24120554649468193,0.24638321218739836,0.25423253781779825,0.24043507396561373,0.2588932175925594,0.24577933397877422,0.2379926970093541,0.24785305126102214,0.23712776025199594,0.24238535281449114,0.25608974115858485,0.24160015503340404,0.24044715101950986,0.27581288795776276,0.24848469249365362,0.23905296668801335,0.24423720994078807,0.23721215217567332,0.23970150345834934,0.2378191535223745,0.2383293172094625,0.2400370889805486,0.23645239213608088,0.24342230542906615,0.23823367631625847,0.23989329601455023,0.24067281099712037,0.23952528040527388,0.24065181462126936,0.24226885587767,0.24004127152589638,0.23667610272405115,0.23916526480844288,0.23830290088057124,0.24733644797461599,0.23714670688344375,0.2383499873858977,0.2886309755285594,0.25185016533965016,0.23739084565234714,0.2386841390254452,0.23812390739193648
+287,0.12036598095053938,0.24124327420287434,0.3353566206349131,0.28197116105311126,0.353010192256393,0.23796396021290425,0.3678106924415363,0.27140872643226377,0.26382400054442734,0.3052638792535314,0.30829170447294224,0.23419371732154548,0.3483811374773286,0.29259762283372037,0.283227356462823,0.3653930009577566,0.2713734348186728,0.29682296878957565,0.29951772392754106,0.2865776292584141,0.31787365646446936,0.32292766230519593,0.30128302754687947,0.27507285035731127,0.3325379239757319,0.404310816109741,0.3273191365351981,0.3348658704565449,0.23564744965411658,0.2364047249501783,0.23472685239369293,0.3148695524277605,0.24556319916377847,0.2867619170629947,0.25659554633926124,0.22746238739128727,0.2325798191581274,0.28584281353135815,0.3439231210971116,0.2342135334827666,0.29298847897272823,0.3111289886047503,0.25229698051067734,0.3427613503569963,0.3006588776764923,0.2304245340453789,0.2189110194192669,0.2462496818539169,0.2332319266182367,0.2924517201345853,0.3112372765747453,0.3804966580504351,0.3459059821073604,0.33036573131722274,0.2297590301173432,0.13861121408171181,0.2195101224257266,0.23797132172694976,0.2911031271808838,0.2552918704807964,0.23558184502656587,0.27354411618368785,0.3015766416737691,0.2732503062875051,0.23262410922937082,0.24483856122967523,0.3487447618374579,0.2612993559700111,0.2546369510962084,0.311645007749412,0.2656613065741925,0.25891002443925454,0.233916635144724,0.15192725014179653,0.31349043003368793,0.25051216037573215,0.23434185021620882,0.27412063401847564,0.24252037883086716,0.2722624139729279,0.3046064862540038,0.2986679897806271,0.26120805009614284,0.2724615467906437,0.27366101787517516,0.2734975901238392,0.23179278843553608,0.2241789438588207,0.36704049488194757,0.229453436579959,0.2356253330418734,0.3187227299098252,0.3024276831419187,0.26985858035305593,0.27797245282127525,0.2487382539230201,0.24992548207594556,0.2518552377459936,0.24935757994570606,0.24702949254858542,0.23662344054207074,0.17802524348686105,0.27898949753384267,0.22965563116707605,0.22970177490382473,0.2504377975805918,0.25190480253133835,0.24215603461653598,0.25485040093849143,0.2517514415575545,0.23689556007545898,0.25771623045654657,0.24349968826243693,0.23838307788839558,0.24725374449476534,0.3110534468478613,0.2632749257023655,0.24957023491958377,0.2724782931164452,0.24521514491252325,0.26451102902154755,0.13027590487947083,0.12396721604590577,5.268356063861754e-09,0.13879996207068668,0.1354137417906944,0.2485432507291033,0.26527843465646433,0.24548565895479466,0.24340674645842197,0.2549163136744151,0.23487398382716834,0.31965060418611885,0.2581895905707695,0.26392406923662853,0.17994272979382875,0.1313086873876755,0.18495014579418417,0.23334074758067827,0.25428776942976256,0.2487272541330429,0.23080511484974356,0.1362524742927298,0.23458728773946103,0.23328044758584524,0.25986643416105376,0.23445477297614023,0.22963853222063416,0.2327668472841891,0.23431249231306908,0.2359737674249597,0.24155729223668057,0.2575247847135464,0.33690960783835056,0.25825506539151505,0.30672834670671995,0.2666804614048324,0.2822366843929994,0.22357233787184747,0.27415959419662156,0.23927424025341223,0.23184822430096924,0.2345870027135067,0.23188122227561644,0.27876520608417554,0.278601420960086,0.2972951098567694,0.2615496216577091,0.2405620228217493,0.22893326066814326,0.20467441617944723,0.23602017399526493,0.241130080064423,0.25697082557372014,0.24560841202648856,0.21943696884121924,0.24232577411249095,0.2463508996772902,0.2778733796809028,0.23251826023523242,0.2635342521494206,0.24032666820433077,0.23816095087317016,0.25931356471885886,0.2600983820735798,0.2296219724574876,0.30649113246111037,0.2254193318532919,0.30258173260492854,0.26168100032777547,0.2866481006561911,0.2383580275571465,0.25646673502758516,0.2639317473505729,0.23425012645877177,0.2149855131313893,0.23257688927355752,0.23103319045514475,0.23193813518789613,0.24379388263127993,0.23555577376303324,0.22374312157602394,0.2352066663653648,0.23526327424287624,0.23944856482226246,0.24838154683469907,0.2335756237701824,0.2521610777085407,0.2399265276720188,0.23095854509177546,0.23632160652965833,0.21950598389662052,0.23193769538257172,0.24971028693204705,0.2342872354037727,0.2341776668414392,0.270604494591497,0.24098314136212262,0.2316631834703781,0.23822945979033805,0.2298097916263935,0.23257402396306212,0.23055601900663986,0.23105820179882192,0.23294290210679708,0.22900805828199877,0.23686610237906416,0.23072538700805212,0.2335188501322701,0.22664032676000126,0.23263305421618358,0.23454537735813266,0.23598497496264714,0.23178879446767234,0.230192642596491,0.23334500365833352,0.23097316925873848,0.24030776543237242,0.22909187921984353,0.23100102415383109,0.2841020559601798,0.24869025387011065,0.2307913302288653,0.23099379238624607,0.23047106864435912
+102,0.1592755166656914,0.19621738290055074,0.3089929373263171,0.23354998914692002,0.31662592680825247,0.19292065481687654,0.33025982362488193,0.23170515117677962,0.22409844497556727,0.26977467797875243,0.26945861258783294,0.1933446612968502,0.29278916645065395,0.2559103299815861,0.24359642298250128,0.3118526731168871,0.23097728340202048,0.25609762225474236,0.24526445044384915,0.24109140799547457,0.27768549339113346,0.2832908857964739,0.2623769865574723,0.2355308324828635,0.2891205954424431,0.36557418267264485,0.2890726009768044,0.29934972982923447,0.1925938106461964,0.1952661336580254,0.19678264789766256,0.2799294896527614,0.20310041866233147,0.24697982039445962,0.22361404216561442,0.18729545403400716,0.19326053598478488,0.2460483188127585,0.3085705165967932,0.19351950497857606,0.248222716407722,0.274989080582011,0.20841566994659064,0.31275758101650825,0.2669854517060456,0.19278920407367112,0.19080487519598072,0.20816717367874635,0.19464647925555115,0.255782563369351,0.2670135669876399,0.3535130263919933,0.3159657728943197,0.3003515371471874,0.1943629012816447,0.15560133703691142,0.18740411038564445,0.1994323385578184,0.2494109455576924,0.21414956739830635,0.2018624883969562,0.23821710461785878,0.266248608575798,0.2361325676354271,0.19212582681569298,0.2031235355280343,0.31239341864539893,0.2197577128068273,0.21603739118086204,0.2725218851791475,0.2233735890646173,0.2198104681356041,0.1937435563567457,0.17416803414255472,0.274671046506186,0.21823170346905274,0.1961822231383677,0.23299798707598202,0.2007814108272233,0.2436000074774173,0.25977977746449543,0.26530419338840494,0.22558810220751757,0.2375352716156831,0.23984418288781803,0.24118040023861403,0.1935348074745917,0.18713749022384724,0.33734693246571884,0.19268048432540444,0.19128926320605324,0.2614128490088326,0.2610685414353947,0.2315601882775082,0.22981570695671052,0.20673398140403948,0.20795360821910955,0.2139350442872863,0.2112762032347895,0.218276011075287,0.1978722945599537,0.11837193996322778,0.24321877563585462,0.18633538311155803,0.1965990096971094,0.20798712092527918,0.21666065202625343,0.20497116467169982,0.22313563441899198,0.2142361035446032,0.2039727482995264,0.21122187403863218,0.2022685650956229,0.20047786608057705,0.2033002014706841,0.2792598873291986,0.22680919118509024,0.2099437485055716,0.23175883727971489,0.20509680091848767,0.22874148283915582,0.11296145411439565,0.12187042271929505,0.13879996207068668,6.452392069879462e-09,0.15322277198774065,0.20004449996964685,0.21703324575003613,0.20704578381040759,0.2106414703455824,0.21990073347684627,0.19454079828195128,0.26933528386536426,0.21980739625054205,0.22565225627314414,0.16517832236852348,0.16552295474260317,0.15373079324969127,0.19430991620951268,0.21838632661550633,0.2085890525886325,0.19185125416951912,0.16856617372137062,0.19409005530440548,0.1933228158635661,0.2136193412212058,0.19417804947785258,0.19007754747596417,0.19174447531442934,0.1935107097920506,0.2004945434857859,0.2011166312740199,0.21980520896341021,0.2841633748528596,0.2158105424580639,0.270176833072359,0.23142766794275854,0.24455293865349395,0.182757816768085,0.22527018244060307,0.20055318820781373,0.1919245332600712,0.19475962557484328,0.19492922541538044,0.2455729226754769,0.2457043118385657,0.26753071866353706,0.2264257448752626,0.20429600430579803,0.18981979612969993,0.19053226425669062,0.19462843690102813,0.2012507690067293,0.21118525320470294,0.2045043742263635,0.18751426460882686,0.20205770763280279,0.20898506214571855,0.2356016011568887,0.192242688922317,0.2241902716066564,0.2017832142614429,0.19844400363880638,0.2221982756027742,0.22020488346845576,0.18827579540786615,0.26858285695533024,0.1903512424721211,0.26635186790156706,0.2275813424225447,0.24791757846416473,0.20047511276991234,0.21817943230189313,0.22534705831869603,0.19548703523743652,0.19772739916205004,0.19356835955094348,0.1919344123542144,0.19142222173954518,0.20496295089784713,0.19848088413015388,0.18792891088229288,0.195226422466424,0.19463481813478303,0.1988157179135818,0.20539932516624826,0.19287612700625065,0.21306447336628212,0.20092285956956887,0.19104087087604915,0.20292627101914815,0.19628853246909886,0.19691947436635326,0.21079608533233163,0.19701756153936928,0.19137495000867735,0.23628987692270267,0.20383148149617705,0.19229278976545386,0.2001344846864995,0.19082190252780987,0.1918916958914609,0.19001752910877837,0.19147069251114493,0.19291747729087158,0.18984327640436582,0.19620419368502617,0.19192309434018373,0.19333054423938656,0.20059896574110464,0.1929371413485476,0.1951120924226978,0.1964049453070663,0.19407417823064463,0.19113969228174088,0.19332545392509679,0.19126884050187795,0.20122305747740546,0.19080481474586883,0.19122409232266838,0.2484318397995503,0.20552394660290274,0.19051166223420904,0.19173921809876865,0.19145382954828175
+95,0.13894905328712875,0.2657282487633992,0.34003407190485163,0.2984971224631469,0.3636398355400238,0.25408746884477884,0.368728018571027,0.29217050645101406,0.2865192001052713,0.321643172726027,0.3283543252634669,0.2607325684393937,0.36266959426045486,0.31240305728664314,0.304273097873385,0.380059118403527,0.2924967257957328,0.316539856908439,0.3200683316110385,0.3047119791808591,0.33236791410300304,0.33988906438177224,0.31974614507773025,0.2961473758898958,0.3384197172357244,0.4151212343426684,0.34112538620714344,0.35228881229324244,0.26150202122098204,0.25994474387501115,0.25943498509554275,0.33091511263778667,0.2705114621401897,0.3045581554927481,0.2812554698945802,0.2553734467326786,0.2585307356844919,0.3033935511988961,0.3458820796817172,0.2616547082033581,0.312640980043013,0.3304060538042881,0.27572402214813624,0.3620013166079046,0.31916555829923204,0.25845099272773947,0.24951051352352066,0.2725153728241057,0.2610606735713302,0.3112787058681999,0.32958542581072714,0.39710141337428667,0.36388302859308025,0.3490687864935683,0.2591402481689927,0.10836590465909723,0.24809193590862808,0.2647896310654029,0.31068233551376107,0.2602073187768183,0.2609401853256051,0.2970158720579776,0.32109069871399876,0.2967614166304583,0.2596285638464961,0.27121136393531325,0.36223053543800454,0.28535959225914315,0.2794943456465681,0.32815121561504607,0.26647143788821764,0.2829058575237219,0.25524003148828633,0.18949085640943095,0.3316717275417848,0.27758742285073335,0.2614817078747569,0.2938947316532107,0.26900627013083606,0.29824293648777966,0.31759005448747896,0.32058254837255007,0.286096669422613,0.29620161313192256,0.29765128377464806,0.29831579311576834,0.26048243309246616,0.2531333768517808,0.3824583157222003,0.25702737739730813,0.2633646289873072,0.3369162681873966,0.32325064775716517,0.2928517872121895,0.29717995822422033,0.2720835204028008,0.2739108632337452,0.27662489932254325,0.27476814544223627,0.2727154215679154,0.2625756189012536,0.1907019647545748,0.3018568566009822,0.25015032036020024,0.25719723055956434,0.27330764860718637,0.2781191799549581,0.2636834742209868,0.27826848840765067,0.2746099743376173,0.26026910612611825,0.2779887803152169,0.26344975463817133,0.2663567054064167,0.27187291638927114,0.33224329570383054,0.2884065685143186,0.2747553541227325,0.2916189210456172,0.27208529905373435,0.28880566916266137,0.1502434220669873,0.13972721020694476,0.1354137417906944,0.15322277198774065,0.0,0.2707051959077431,0.2884600487575981,0.2718436583791981,0.2703170266945643,0.2812802237895628,0.2613442989250298,0.3386431116129438,0.2831327194221435,0.2857442384065523,0.18386819879474037,0.15444255796967438,0.2060896868372987,0.26199344758043436,0.25802536429884737,0.273419639011843,0.2590574779171971,0.17905452909475927,0.26153554990485467,0.25680910716884114,0.28368913943512636,0.2616572141408814,0.2572255132842782,0.2596014395202326,0.26204016213497294,0.2598296724878714,0.26617723925514714,0.2781269129271792,0.3519819904884628,0.279919335085732,0.3227325747543754,0.29097112899792416,0.30425806700153574,0.24733057178772483,0.2970045026109573,0.2642884704349059,0.2588667505776458,0.2622373660081941,0.260933378229579,0.3028033239248947,0.3022745710898065,0.3204506291895215,0.28615215108775066,0.2668554117388929,0.25743783260718894,0.2384674328008561,0.26249787493389104,0.26613227751758783,0.27797833412450146,0.2701473531487196,0.24807686127465897,0.26765071211366875,0.27105832985586314,0.28138527205929903,0.2565992391533428,0.28690652714028925,0.26787823194338817,0.26479229937064147,0.2843083832364283,0.2844115368615524,0.25703503033349356,0.32295394173667075,0.25422553101070194,0.3217082602428388,0.28640600444566033,0.30683455622557404,0.2628837532464398,0.28189151751038904,0.28795482808164297,0.26157526777929224,0.24773662393345824,0.25992915254147947,0.25486412497712363,0.259535478757358,0.26932956319617374,0.26273077724948524,0.2538077420826238,0.2627722241650016,0.26063009851418717,0.2602688029010349,0.2670000163334851,0.25675470347331447,0.2773421009364283,0.26751306914921563,0.2585916199744253,0.2654834355483094,0.25181054342037706,0.26065288186962565,0.27485478643157135,0.2612196419720505,0.2599823121552872,0.2937432705817328,0.25045446793639553,0.2592727690349078,0.2654017631269218,0.25829854093606763,0.2569016095761407,0.2581649924531714,0.25538091309762206,0.26020410095905877,0.25678506526073186,0.26254204948371984,0.2582574748306031,0.26115281699312004,0.25336482282388834,0.2550502977138895,0.26183767251107365,0.26348103108024984,0.259053632139107,0.25777621498253567,0.2607628188291703,0.2586183315191224,0.2485815542520907,0.2572913120859718,0.2586338576779724,0.30573593857435305,0.27429267791038864,0.2575882171643156,0.2591365638539716,0.25797521394662615
+9,0.2952121192642621,0.12808946095868168,0.3610552504569548,0.1759715727246667,0.2886112269383995,0.13659935633119816,0.29511206204226353,0.18846883275458134,0.16278553318661232,0.22579158743578134,0.2274860957172329,0.10639101764131847,0.24694006966534857,0.19225379560077183,0.19004732320524592,0.267190995945744,0.1709365786545121,0.20773745728987145,0.18109946790125936,0.19244961840073715,0.2500545681252528,0.24181324950097882,0.2132371919403444,0.19596094208682216,0.29491705780764754,0.3293732863322118,0.2563695799283151,0.2640764004606764,0.11793516886155896,0.11722302518193108,0.11204683420141896,0.23634813954723177,0.13164432607936746,0.2023058554102835,0.14149776961372454,0.10545319047999285,0.10679584792657615,0.1982425941430538,0.2775294946031983,0.12995109172535244,0.18639445063928947,0.231320174052537,0.14480426724913778,0.2601155348982552,0.23200694670875882,0.10547050246058945,0.11082502862806214,0.1329662636761195,0.11109060497885735,0.20613988903337746,0.18384079377882193,0.30721086327519254,0.2627881646013792,0.24065387081385464,0.10959679893562677,0.2703936016915167,0.1442732660415967,0.10853544538844082,0.21028639877539118,0.14854507868690328,0.14465257200591136,0.17266481528898978,0.21557312914702162,0.18132491251735444,0.11259962148723056,0.13642439976311804,0.28036837459008196,0.16187521027328405,0.15133315850024753,0.24050331588445223,0.172334658425074,0.16361065580899967,0.1115361095433269,0.17771904734801783,0.23368371055260473,0.16648554330652363,0.11237376706137661,0.1806721128974838,0.12841337214824441,0.18884388817529976,0.21766466022314174,0.20281842832342964,0.15500653653275023,0.17303873338451076,0.17361090046570082,0.1776729719276954,0.10646206438272844,0.11838279231044069,0.2951993089061085,0.10667917246829646,0.1141777483100072,0.1963618534907705,0.20761002602262432,0.17163710112361558,0.17163884544140373,0.1445356378772637,0.1387165185994307,0.14566331438382876,0.14542437231042613,0.16230804862750756,0.1185861085291305,0.1646492318056116,0.18759583519863446,0.1088266899169946,0.1260045261962963,0.11476644100063145,0.14587137264570404,0.1019678042466659,0.15649653512887954,0.12667475752000387,0.15626523621206434,0.14386113209293255,0.09552895178881263,0.131147764789152,0.13413272168489088,0.2224355295654649,0.15693406736943813,0.11760176011905711,0.1819077350439417,0.1276314980712392,0.16171793936469464,0.2188397714168295,0.25101176183772583,0.2485432507291033,0.20004449996964685,0.2707051959077431,0.0,0.11587867463360757,0.1312905286315566,0.13607370821395837,0.1531912489849889,0.10575005269092846,0.20867052385476206,0.155620815214249,0.16236063770470277,0.155635309293712,0.2847898128251823,0.17506710298041636,0.11320714376949043,0.15233824396685913,0.136176590086523,0.1061130970619759,0.21570048772446243,0.10529119711461565,0.11501391074426542,0.12016223709208572,0.09141160358138709,0.10024895082809843,0.10878606588245264,0.11064782082899292,0.13959425187953226,0.09950959228641862,0.15461521953639898,0.24718826460059556,0.1417961801108851,0.22678217356799932,0.1696697551092013,0.1939738698651848,0.10624585385633172,0.14585091703147632,0.12844764503109876,0.10769010817411606,0.11445550853074739,0.11350075352283054,0.18567356275413985,0.1859195093178361,0.2145366719489897,0.14327280185651442,0.12640874915613345,0.10019355195253843,0.1324330012401313,0.11771758848589017,0.13211215772119345,0.14603234265843554,0.12364063482863391,0.1081417490911026,0.12600004568850393,0.13158801436166578,0.17306947026414615,0.10569549358027247,0.1632510470933892,0.1166233917150254,0.1191640766213372,0.1577865716799626,0.16799033577461853,0.10792282318426201,0.230094319997644,0.1187211284659125,0.21812303133768854,0.16763103760582848,0.194065339940343,0.11857752105212466,0.1514700834162432,0.16364062670326943,0.11012771832850793,0.13507559546166825,0.11046767169681676,0.10817881279375582,0.10106857041516745,0.13777023736070337,0.11960330890952342,0.10588515100710426,0.1153189387520291,0.1013837088597265,0.12660676113942707,0.14455419032750882,0.11109798517313385,0.14557440547124575,0.13479890026211708,0.10442930963697053,0.12883760935756863,0.11383297835333318,0.11394854939715619,0.1390213758747895,0.09439220121222974,0.11477048143623349,0.17841021762195441,0.12683281584794912,0.10445030243795726,0.10587319320509168,0.10530423205041264,0.10747397132696365,0.10197944233032459,0.10560910495936485,0.10660962568609203,0.10385775448062855,0.10749532362750373,0.09657573101355729,0.10750748666274601,0.1335522248685419,0.10677922853858135,0.11107262197992818,0.11244778596327282,0.1030394529783362,0.10558905072747632,0.109538226796021,0.10355395334620796,0.12490394914427072,0.10456398110520902,0.10380689332877253,0.19244581756735424,0.11962623515977522,0.10624046742489682,0.10361429945027005,0.10429267008538003
+212,0.3084939172893956,0.1618099678231128,0.3803593800817393,0.18981184381366686,0.3180704508651699,0.16523375982619568,0.3064500796541123,0.2130159847163617,0.19138227557376,0.2511741667185134,0.25075067413333846,0.14873089219975277,0.2150506995353729,0.2288049360574045,0.2054493605770149,0.2344408822906696,0.18191445167884304,0.22878931975318995,0.15744227708207228,0.20875256294429315,0.2697416795826706,0.26041861411988027,0.2362824242695855,0.2169170127026237,0.31791728289019544,0.35852374314148433,0.2697098936652224,0.28028070819792944,0.15806891033559675,0.15667035865575019,0.13137804259744906,0.2546798466320279,0.15360989275664252,0.22789140611949493,0.1662389085308962,0.14560005553931915,0.14925916487363955,0.22464650274575332,0.29635094018857155,0.1606060271539663,0.16780904396591204,0.25082061080041623,0.17728077134247586,0.2762399203622847,0.2497481577236487,0.14674990163629353,0.14964828427815408,0.1667034934795079,0.15020065144900843,0.2293610641291473,0.17735143812803927,0.3202549012114467,0.27910407578693247,0.24544878592131864,0.14948469893306685,0.2859119326859115,0.17428607344005578,0.14398856691332085,0.23437788947606908,0.17906995797575148,0.17371467742779906,0.19645839701074397,0.22872781759046776,0.20005965367830528,0.14940645302037076,0.16291695801502012,0.29700168842611174,0.19348618153742905,0.17300637661802853,0.26096751049669753,0.20355785750502595,0.18137208616144843,0.15173967261738078,0.2033603102340396,0.2502452977364903,0.18910293237040424,0.13492896646401795,0.20999544097484887,0.16512875897775983,0.21021312374933349,0.21505097054912947,0.2234794944074765,0.18255336955018547,0.1868464725408977,0.1997091876930922,0.20152145065491797,0.14721418586238413,0.15436692972178492,0.29849241849839314,0.14699369882402274,0.1468406977150524,0.1700807792524149,0.2255249395440428,0.19777969817760957,0.17003874424642318,0.1684648447136667,0.17584190638778385,0.17508226574250935,0.17609522508753975,0.16839648380040004,0.15504823520065905,0.18977715335292453,0.20829079374832207,0.15103815062638828,0.1400128779283501,0.16820570594883963,0.17549051155212736,0.16508282429557883,0.18137820066864407,0.18051043921354237,0.1959099944702357,0.16322202091899055,0.16330605964369915,0.15344888905931608,0.1699121997866953,0.2328677623621803,0.18397804336110507,0.1475062063606687,0.20196136519207256,0.16393099848218984,0.18620617948814966,0.2420529793562293,0.2698760980376802,0.26527843465646433,0.21703324575003613,0.2884600487575981,0.11587867463360757,0.0,0.16404318317703706,0.17056068752224843,0.18129464189982647,0.1371853768252936,0.16640613957840075,0.17705367065194585,0.18925444536868102,0.1854458063040615,0.3001185704259643,0.19780270318713344,0.1507896565819107,0.18254051113403846,0.1510938327578168,0.1439466175333677,0.23335718626652,0.14710131509772034,0.146716429492228,0.10131060828489914,0.11805470830150123,0.14475095559317047,0.14937172171253463,0.14922382903296472,0.17050828798445614,0.16140465286506492,0.18337752140004862,0.2275348833489781,0.16095449105953188,0.2402557848522388,0.19547613633867392,0.2132835028761548,0.14556947007567092,0.11769974913334512,0.1622156711112123,0.14630811299838462,0.15286659696493846,0.15251658669198476,0.2130240807831436,0.2133465717170857,0.22927774148258978,0.17631259239010869,0.16483949427879827,0.13929347984721385,0.16381560540487067,0.1538876863761979,0.16480003370534763,0.15880459238510083,0.14713739292981656,0.14564757131571685,0.16520918356324418,0.16119662298248483,0.19749482598983617,0.14547524062115313,0.18579613960122024,0.14861293421001784,0.15506278910980173,0.18101470627522123,0.189767421302118,0.14770655661436688,0.2461567773492796,0.1411359834856837,0.2292067932425494,0.19329484294135243,0.21995128985385753,0.15612761130776698,0.17918399245052355,0.1848455947236631,0.14407615331284795,0.16685778607789697,0.14914141577838383,0.14764909168620802,0.13943597199693963,0.1672987389321284,0.1554868863511502,0.14644927842291403,0.15122347912686737,0.1420179327792685,0.15791636581659613,0.1718857875973115,0.14991820950433357,0.17157505354869657,0.1645322451286782,0.14562496385906817,0.16451814293875122,0.13675534216971474,0.15206950085859716,0.17269996870368967,0.1334818655553272,0.15168772019212107,0.20299588837507057,0.16318925558040584,0.14423119934583495,0.11807826188887262,0.14583699102244368,0.14799436109187908,0.14147883113498472,0.1466174550793559,0.146215770117894,0.14467437435912311,0.1438994248996443,0.13530425972080992,0.14622568627165738,0.16600268532770532,0.1476652363288838,0.14913709973942535,0.1505070079716325,0.13967918581394453,0.1446782534569643,0.14861903495440576,0.1454565888988937,0.1609450995674752,0.14590234467368673,0.1447081896135527,0.21491378365666594,0.12592732728694195,0.1466981812085227,0.14408734498688316,0.14620705878634782
+94,0.2942215764022433,0.1291046311154968,0.37314480670632566,0.1876994007759002,0.3110391907417388,0.13298387603976025,0.29338646802035573,0.19398291469639337,0.16210452171225398,0.22324038846301936,0.22450138610645065,0.09310157814274685,0.2865843889784122,0.21088366860528196,0.1911865603358811,0.29726098829522346,0.1746461009528852,0.2114382249386626,0.2165794226583409,0.19349596799899269,0.24492156940569157,0.2451113360933648,0.20741331758155482,0.18413143194563425,0.3191818721102904,0.3455194670267958,0.24365286832336824,0.2522712191281754,0.1099952793722831,0.10662189825892024,0.10110033448555848,0.23213263724130986,0.11285551625999732,0.2004417403025311,0.1464297260238125,0.08682124025560328,0.0943491388842123,0.19006643124888864,0.2728735536358272,0.11130762556266283,0.18807498755070481,0.22628421491763992,0.14194788016249907,0.27020625872986065,0.23001627400828561,0.09111732868336056,0.09990511568848592,0.11832174959091402,0.09418849727573414,0.1912123193228279,0.22877569148538687,0.317109026422605,0.2730014258812899,0.2565834037061035,0.098560520188656,0.27140743063976003,0.12561658696131,0.10590919722917841,0.21008895519927692,0.1388829540023814,0.13580776847728526,0.16809223385545535,0.197090336960544,0.1649775572045131,0.09636151797598387,0.11980016915584074,0.2643394068514161,0.15863534512683955,0.1472726086390693,0.2247254354267779,0.1698628878262768,0.15791148988522613,0.0974660165713619,0.17568366528255516,0.2215587581431644,0.1416198046711247,0.10097771064634518,0.17435322801271358,0.12223999459502247,0.1546869285565039,0.22645479705704052,0.20890596150339857,0.15101964591009803,0.17055495293556663,0.17100184057280207,0.17399377390628865,0.0958199137129293,0.10350295424117822,0.2798565854846582,0.09400997812945652,0.10251359771361211,0.23749307603636963,0.21141679500568478,0.17012611190929622,0.15745580658438413,0.1260405808703738,0.1350480689337803,0.13285695398681374,0.12815622367854515,0.1672307998407248,0.10512716628876373,0.17189621502314734,0.173303664273716,0.10045253284957469,0.11996529599705134,0.12340357521359782,0.13291941551973166,0.12392135753318757,0.15226759549438498,0.118105602974561,0.1698137595014677,0.13657765300895375,0.12041479530650882,0.12093734301554054,0.12829940433773376,0.22575177771323945,0.15458761903931054,0.12052225712719206,0.16092591390116057,0.1116320042163631,0.15870163762648867,0.21981145418045872,0.25190833794121237,0.24548565895479466,0.20704578381040759,0.2718436583791981,0.1312905286315566,0.16404318317703706,1.862645149230957e-09,0.12159966022097667,0.12076654777729393,0.09635914128060602,0.23488697470901376,0.1153456354346784,0.14798301228037578,0.14755030195403943,0.2836883730681236,0.17118912026461444,0.09659979462124935,0.13520711292021242,0.1224398938932307,0.09355171933411513,0.21074503343445755,0.09138729424098994,0.08602788711058786,0.15433959045563905,0.10186014053905769,0.08995368691083391,0.0926718611804101,0.09585674892511037,0.1295520493373371,0.11617319940967862,0.13704980639241282,0.2761370191140576,0.1278715558415064,0.18793853179550915,0.1485584347881859,0.1730329876994316,0.09511060305429613,0.17645567568861883,0.11059885845099447,0.0918851073007659,0.10297836320344014,0.09867609896249616,0.17669891297010548,0.17606044321010256,0.2067170979507246,0.14986027153516226,0.11741320990302785,0.09189700209331261,0.12371262954379719,0.1008627164494463,0.11419528837423619,0.13487715139630313,0.11475497349439684,0.09441501434604803,0.11781464213319777,0.11945311644007077,0.1777511742539908,0.07866413326464158,0.13859551953543142,0.09145947760366258,0.09612650629741895,0.12175301506149534,0.15143283590141882,0.09702871351011019,0.2175666670502196,0.10575935105940817,0.22231936200076433,0.15987006007485963,0.18874934958894665,0.11158777070112652,0.1093332000839246,0.14236527843832605,0.10070113676092907,0.12497203584911638,0.09564276984826038,0.0893766504329164,0.09182982539879388,0.1202693345967886,0.10768386722549263,0.09085207272888454,0.09418978081906094,0.09605328661266037,0.10367742891858596,0.12596585652996467,0.0963439456152826,0.13137679922248244,0.11137123150447625,0.0894685147380908,0.11962595518540693,0.11317379061788681,0.103500734377177,0.12601205999302642,0.09924740665344225,0.09221575548752005,0.16705349620842072,0.11376180973946776,0.0919597880978185,0.1095942694149098,0.09053821497576606,0.09306519066772316,0.08555144488839367,0.09044253721722426,0.09434181342843892,0.08969213986880523,0.09693956225764815,0.09274306402176163,0.09662175965119824,0.12275194353295076,0.09202431506865341,0.09467988745798327,0.09904900719628447,0.08867172214995496,0.0896776483494936,0.09389866628923606,0.08929219996644266,0.11289347321971456,0.09001285022265038,0.08969286294533943,0.16582632812489373,0.12624314450180266,0.0909409511197333,0.0906389369906405,0.08944043238158597
+105,0.291065604715496,0.13890323912489985,0.36181597963068945,0.1894612115531404,0.3051141285881397,0.13927707392592625,0.29168925987615896,0.19617889195978344,0.1655557124081918,0.20919850891429448,0.21775541060147022,0.09440834146237295,0.29093911145418516,0.212616864192564,0.1905294751327635,0.30620767063174176,0.16953933618295072,0.21203769136300013,0.22203746944953082,0.20235157106629043,0.2412456207693981,0.24393447776148652,0.19721474893804095,0.1959764754525268,0.30427498335760866,0.33518044311828016,0.23511924519386468,0.253172050050882,0.11679749023045022,0.11229454493323128,0.11865221265436471,0.19937880054699136,0.12196721788315117,0.19524001764124913,0.139954335169511,0.10220611612654261,0.10789813298056186,0.1972381019488258,0.26331016792585005,0.13257053957196366,0.1910628382906916,0.2101676877435013,0.12829332086902465,0.23080492348362783,0.222766828115811,0.09898630371073502,0.10173814785993698,0.13362087213221677,0.10399247437597726,0.2038551405156055,0.20728039513969623,0.27239033617938807,0.23639145637916745,0.22124994437821302,0.11096349768090219,0.2657131314957431,0.13684316071113994,0.11881967373637305,0.21362144451762174,0.1445868460092284,0.12562088543345687,0.13322628878998652,0.20264385859267325,0.17574135939421442,0.10911309809094931,0.12824382379530758,0.2695658388086561,0.16412169749263955,0.1536042182144703,0.23849207446674825,0.17177179011619195,0.1663981054533646,0.11339796153992479,0.16215159609910346,0.2248351918987489,0.16029002894451222,0.1147168199057549,0.17829048412081097,0.13171976739092062,0.18182329566481542,0.23365995189825525,0.17540741099181878,0.1324773824758362,0.13133694184579672,0.13333348359563715,0.1296043463503423,0.10179729460127555,0.11769844434985,0.2788363475464015,0.10256433415118243,0.10948771980660627,0.24483377277094223,0.20535475513520218,0.17213422234726988,0.18412436317824246,0.1420648369363433,0.1319643726660035,0.12076659153470493,0.11751179346117266,0.14534546708963075,0.08940811989756782,0.1741038552461626,0.17885824515376872,0.11436150237045804,0.12614897188215335,0.1239580822923243,0.14740340288074877,0.13213432121759158,0.14410065442670997,0.14346912731271644,0.17520249568272428,0.14769680410283448,0.1212175815322136,0.12998840922933705,0.13176651151975785,0.18446693417664084,0.1197671081643796,0.10465807858864958,0.1768481267056264,0.12027934636837304,0.15774733579940875,0.22038628096922425,0.2508336895758832,0.24340674645842197,0.2106414703455824,0.2703170266945643,0.13607370821395837,0.17056068752224843,0.12159966022097667,1.862645149230957e-09,0.14614744935432333,0.11226341604973314,0.2256886538471168,0.1524168253041911,0.1548557985608291,0.15175359188580456,0.27862324325007193,0.1728662725694316,0.11018821147030006,0.15170778039746347,0.13113335158370917,0.10736650136995575,0.20843173928124406,0.10223084174886887,0.11074670910521946,0.1603779838615386,0.11053122247502105,0.10246580644354414,0.10525782578391982,0.10898154152895995,0.1388375836745146,0.12016852824974408,0.13987839510247774,0.2807950384020173,0.13009428398119405,0.20823618738312047,0.16546774656344188,0.18247026177616432,0.10291218292786145,0.18148464100984227,0.11994993561824477,0.10657197744929463,0.11510548555310057,0.1124921088406447,0.17513089138143575,0.17469174757550185,0.20339632019654943,0.13416901234026338,0.11012002234842909,0.10766786108178479,0.1308066252871518,0.10830251944822111,0.12391387749260956,0.15028472628514353,0.12609620901483598,0.10656203247360194,0.11459822757522663,0.12970452126733167,0.1762068124785832,0.09910726611628172,0.15038662567502567,0.11453514706358536,0.11777013840204428,0.15062184067835713,0.14567840574250798,0.10895240891938168,0.2187413887509628,0.11149900366349717,0.22422537641577933,0.1588427087216347,0.18519262137490813,0.1157644683670268,0.14059145765698514,0.15543660970714343,0.10585446542301673,0.12773592122615746,0.11105268394560251,0.09824812663753046,0.10490355460906486,0.12217613944007884,0.11093623576106124,0.10536702421792876,0.10640261964354274,0.11468374316092418,0.11896907335254452,0.13955877525443336,0.110859200644772,0.1365095020751621,0.12192449967471301,0.10567545581903817,0.12568577809134548,0.12189241157749305,0.10239341924596596,0.12833289719773655,0.09895113241594711,0.10345770092532072,0.166354751236675,0.12801196988841432,0.10748563009687565,0.115088136756863,0.10719871548493372,0.1085730771539376,0.10380826356867388,0.10611180152195214,0.10251488811667321,0.1054655983416873,0.11497431943430551,0.10844748307523641,0.09710457905562592,0.13238517040823783,0.1038002572621572,0.11314182492550111,0.10094806074625844,0.10579996277475191,0.10199422724192748,0.10548257141724368,0.10520903608839359,0.12586993086968784,0.10599575845852605,0.10565458754071343,0.17692111089692364,0.1300626098471782,0.10748613226221758,0.10423926859320945,0.10127345624073128
+285,0.3016553868165681,0.15138498613609366,0.37975087337051494,0.19810622205454886,0.31905850978836425,0.15542324514993555,0.30323345003796176,0.16294055791679876,0.17936170723001668,0.23927752545022504,0.23614214658021787,0.12123985081583354,0.29469632724286043,0.22352771404815897,0.20421908109894477,0.3048194865093797,0.19228760424310426,0.22431972650316362,0.2276888744525147,0.2092953783348636,0.26224112740709227,0.2567247865440327,0.22157144116773192,0.17741448924279363,0.3270282729676624,0.3540883570410143,0.2569142974996328,0.26101758122951696,0.1336302390175573,0.13412713715259741,0.13171803454229608,0.24478141226380473,0.13617950456393446,0.21599272401631617,0.10365475535671975,0.11627790208745453,0.12154376712988499,0.210080693458531,0.28485522019541604,0.1346023014354719,0.20071420370269946,0.24147644814940974,0.16056954972778864,0.28247395520103813,0.24362075160391572,0.118298882094395,0.12604547023218454,0.13833914747997092,0.1211455868145307,0.20099287585690714,0.24176154577498138,0.327158355714073,0.2851290922755118,0.26892171859022684,0.12521119042592485,0.27988547662694485,0.1120393605553313,0.13137615058207652,0.2231783550266846,0.1594261358119333,0.15387440812545639,0.18642806976289858,0.17645364592795537,0.17767159249976308,0.12094718092692354,0.13962659089073243,0.2817278126412924,0.17583355985956056,0.16525653247298644,0.24655971372453436,0.18828191227961633,0.17435186942305694,0.12583968680248572,0.18976262578844363,0.23390961589792786,0.16027852428570902,0.12777288054100777,0.19558662254925163,0.1413320223930294,0.11683128861013645,0.23688674037556476,0.22363591314376802,0.16968729601658716,0.18841263033641334,0.18869444337401192,0.16818054931013135,0.1224648219486499,0.12683951771571306,0.26780595655985767,0.1222882917852648,0.12545195679850696,0.2476767833877996,0.2230985334889498,0.18474951085393262,0.17641811534429347,0.14215397963087983,0.1541038188773302,0.1567204468546888,0.14824694431710395,0.18042461246150074,0.13130530701234863,0.1900527893706903,0.19427354895650661,0.12902428970749158,0.14056969633931793,0.14952288314575704,0.14975982137828614,0.14631572677105759,0.11213743637701912,0.1477011091592813,0.18134220138656337,0.162564827394654,0.1420836108654955,0.1442090916789563,0.1505684774114988,0.23970225427089764,0.17354335113631592,0.14494861647772922,0.1763982175007179,0.13894807616907634,0.17364631395196975,0.23193110138689058,0.2616723079787433,0.2549163136744151,0.21990073347684627,0.2812802237895628,0.1531912489849889,0.18129464189982647,0.12076654777729393,0.14614744935432333,0.0,0.11991141310444534,0.24603054094999935,0.13714934897489228,0.17317148980479796,0.16561162023844192,0.2915834891826286,0.18728184934412703,0.12276797757706283,0.12895326501623408,0.14410413169326727,0.12071335522681707,0.22055100298965064,0.12148226643370837,0.11513387961427593,0.17275499518913665,0.12677724920277844,0.1187517541682708,0.12099167637669946,0.12103812714534566,0.14787707836846437,0.13896035334868387,0.1587283164397387,0.28446683611696644,0.15336990503632147,0.21758454488332396,0.16483775445622245,0.1929733509194968,0.12359644441151768,0.19301754727327344,0.13596841328428,0.11959726909271465,0.12771816352933799,0.12376677642627987,0.1911135560746478,0.1907367779786067,0.2188296397838538,0.1669697557457718,0.14024879739019858,0.12005126217497368,0.14418669608977075,0.12507046552247733,0.13995997330572715,0.15780626343872908,0.13607162377849066,0.12181265762761838,0.14016891939449702,0.1472972356273696,0.194417862764384,0.11354612726348992,0.1600663400840784,0.11701882785282142,0.12145886596662527,0.1504426300721889,0.17129100282264248,0.12500572665729667,0.23192958872544828,0.12947714804437696,0.19638904136241056,0.17675201417335762,0.20590954435649095,0.1362458788927741,0.13772061512629302,0.16198813458574032,0.12741683083685867,0.14638243339460152,0.12160048651017236,0.11903227361238036,0.12060203108387761,0.1445311907410111,0.12978131980770954,0.1193218333973318,0.12241353830979464,0.12782515350495424,0.13183064342739048,0.15390861992575944,0.12327156187971608,0.08191241059555134,0.13036722877958712,0.11876589967889177,0.14193625852586841,0.1368595955947339,0.1297194657777263,0.14657526918792543,0.12641792070146218,0.12079793370802248,0.18812440985470008,0.13889494009447817,0.12047597929870915,0.13387709531368291,0.11869988428273795,0.12161838474299289,0.11708357264645845,0.11880540820720496,0.12293270501415127,0.11845302017883148,0.12493832133002955,0.1211610260076151,0.12330325120631308,0.14416119062666738,0.12029182382863672,0.12190597329436959,0.12489235652074031,0.12036751274319864,0.11870973718291933,0.12260615284881568,0.11859513159350721,0.1370089005220392,0.11869208584158703,0.11823560049644964,0.1884426030118125,0.14797090997068166,0.11969153691708584,0.11934795525943967,0.11869164337866299
+82,0.28660710944161477,0.11856596549638725,0.37020475681264176,0.17166088915534206,0.3062944645046962,0.11059034140181259,0.2914697028251463,0.18761842740209086,0.15526033966236938,0.22116743598671237,0.22131593399663946,0.07676788880101033,0.26679119221650854,0.2015116976790167,0.18326877600112754,0.2798285555696092,0.1676766148392619,0.204173606336317,0.19311401165595968,0.1883026052082502,0.23687937518116872,0.23663863172795033,0.20356992318636608,0.1817093649935651,0.31197173913165965,0.3437656816870074,0.23931895298032207,0.25602262801063885,0.09278866808727834,0.09137295554931169,0.09079343203814208,0.22418254446104688,0.08359029284560039,0.1942253230188004,0.12973135307229963,0.06561726117598975,0.06191615341985066,0.18192216814660836,0.2708228334369754,0.10251855280659004,0.16932121014306054,0.22120161948134243,0.12804517582955866,0.26423066344467044,0.22915086333080767,0.06678822524929455,0.07963934374158019,0.1065889326785795,0.0724864328563266,0.19101834185511754,0.209639868260295,0.3100937739341717,0.26616859795535974,0.2486110495434199,0.07777916457824625,0.26128310212645767,0.11606081696181231,0.08472798766446477,0.20397694878037895,0.12895555856814142,0.11690189834274176,0.15899441456540733,0.19151046410368824,0.15876181985259882,0.07232040727314547,0.10118152885383112,0.2678767676696886,0.14816643454252365,0.13318561221300254,0.2271340655343197,0.15951099452942252,0.14274600762894935,0.0771543497341855,0.1616306905866734,0.22122933607929024,0.13722474457376946,0.07827540965189249,0.17035839368931802,0.10577516768723409,0.1622832515904783,0.21804525760637852,0.20034978804310355,0.138105473213122,0.15957955358416437,0.1604813984297194,0.1622151507653814,0.07569227832553435,0.08507963453966066,0.28654105272419067,0.07013419902962598,0.08544281500794025,0.21333644316803554,0.20510900708355775,0.15949029277686708,0.15392828960908125,0.10922743675429578,0.12036038781547656,0.12058679140215697,0.11626510035581251,0.15469287696305453,0.08407562619179265,0.15570573872987267,0.1706816619406288,0.07119170372595301,0.1055922785338089,0.10477831482125463,0.12288759154123431,0.10411831770150298,0.13637767452043295,0.11950574026684413,0.15440346502380536,0.11366500238468366,0.0978164273467655,0.10716341372542681,0.11462506886264617,0.21741398276217797,0.14420276139602772,0.10678902962521722,0.15874568699593167,0.10208381523456446,0.1487313110135116,0.2092177683685477,0.24220156951206176,0.23487398382716834,0.1945407982819513,0.2613442989250298,0.10575005269092846,0.1371853768252936,0.09635914128060602,0.11226341604973314,0.11991141310444534,0.0,0.20497605306327968,0.11622287497922482,0.12909633944107501,0.13380192045680717,0.27448176075456193,0.1570818175880086,0.07807136804117067,0.12571855891037734,0.11405702138040939,0.06740136602441042,0.19900200788721298,0.06866236931663458,0.06326598836689977,0.12178221338537744,0.06818295118359025,0.06346250199892757,0.07246148912217902,0.07027877275013548,0.11174271704806818,0.09713490049709778,0.1303487589625163,0.26013140041917804,0.11418610103319751,0.20199448000522663,0.1457586225465278,0.17559874093984335,0.06939572196825594,0.1442533457397495,0.08648177186153751,0.06495593113429358,0.08106021012261647,0.07744798650619632,0.16991266244005204,0.16889776298692097,0.20142191327248388,0.13786638804802434,0.10346261297953882,0.06565208227565486,0.10682457908916902,0.08181594512493619,0.09808604063100287,0.11230589538652891,0.08613520818005499,0.07044346967591035,0.10410107931569944,0.10795309785857668,0.17182449535048935,0.06370708757543568,0.13260435705897836,0.0871745382388234,0.08338624227939703,0.1273177893822059,0.13924575417835028,0.07642411638954193,0.21571613828753186,0.0864891880510701,0.21515843793903008,0.14715163039482024,0.1815259865713925,0.08402323110915817,0.12036404960828222,0.1348183945820335,0.07991722897905101,0.10768970719827252,0.07462478932778457,0.0688426423915769,0.06283436759185024,0.10935290204468233,0.08809483538686189,0.0674438777549523,0.07550023478136615,0.07876707548275841,0.0822421284647378,0.1070234873630761,0.07130267964168761,0.11769304132429793,0.09695374601567999,0.06468027743325436,0.10206022104497539,0.0932106516165612,0.08384124328531933,0.11439348051044669,0.07607939627374409,0.08011235534450152,0.15915378046475573,0.08882533404199985,0.0649394637867,0.08565458000289007,0.06700068594734454,0.06881747900032703,0.06207326666143236,0.0665713542851741,0.06998764913088756,0.06377856100244424,0.0710943885818882,0.06914759419259078,0.07384452016318019,0.10327854618778037,0.06549684654754942,0.07651807134623807,0.08055748958139163,0.0679244943762334,0.06644395291918821,0.07133609071447518,0.06462218665902705,0.09431852637238215,0.06540094528085937,0.06470542637384162,0.1723630602483853,0.09531832978124613,0.06830929289026008,0.06631315157185876,0.06504878999072757
+57,0.3542314037133304,0.23172512066326204,0.40836945066746855,0.22278493239040392,0.33531789650015636,0.2231722242442244,0.32522899094440455,0.2694458251405691,0.2423119629901197,0.29953454369449506,0.29714758473654224,0.2278418241843525,0.1897440262906228,0.27224519646573214,0.26115944275865277,0.1882315952541884,0.25166014775799195,0.27938010535563534,0.15833864459941124,0.24810470950956684,0.2995077220389352,0.2913246170236704,0.28269266550184585,0.25712054083646835,0.3126926644400343,0.3888892108746018,0.2705757830439854,0.30275837193064525,0.2373989373154126,0.23555112159881667,0.22613515777919183,0.2564655043295381,0.19984607063125237,0.28256702055849453,0.24540124364592455,0.2280734310178947,0.2295869744607021,0.2707070271651181,0.3292226606263416,0.22470185071506577,0.1615813076075639,0.2623913259002878,0.22701153870967825,0.297279215312529,0.2862836526295158,0.2287032259540889,0.23253966881616037,0.2441719588478919,0.23119250197466168,0.2803446042958852,0.20674223673587241,0.3259332387278274,0.2996579872138802,0.28329225557136956,0.22989258187630296,0.3306267100184155,0.23799445455220664,0.23594077340636035,0.28080686117982506,0.24461193075111332,0.22692032819771005,0.23594923097301201,0.24882602993514588,0.24847076091587328,0.22049140215823546,0.21175886669974506,0.3127767647865881,0.2580033492020085,0.2455610642581973,0.29773817851454054,0.2619799437517849,0.24066856380092436,0.2347945183832238,0.27127794126382354,0.2842388415729394,0.23855181972790301,0.22463555596760784,0.2653233652547533,0.24033864136447902,0.26329832824801225,0.23213386722895382,0.26571094031075326,0.24007155954920303,0.22229427411488367,0.24169273378811706,0.24121181733921043,0.23095788981082577,0.23119709331358484,0.33280240863172933,0.23036964692782746,0.2156190687065575,0.1625927894638804,0.2700501005142665,0.254625079123276,0.18393884482846432,0.20893174514951227,0.2401963250989251,0.22553817531438755,0.22610225268383538,0.22130708916857203,0.21491884435966851,0.2441327583420185,0.26385399514006125,0.22769794545871425,0.22534454729122283,0.2283585274940806,0.2476737702775745,0.23883278565437344,0.23981997715846834,0.24090013288766704,0.233700354654286,0.21010984669365937,0.2295583878720069,0.23292554382307518,0.2445521746285666,0.2635683494730725,0.23860149649114437,0.21829756057492375,0.24328428328042032,0.2350589870542063,0.24608131153959947,0.3004991489212117,0.3209301463353424,0.31965060418611885,0.2693352838653642,0.3386431116129438,0.20867052385476206,0.16640613957840075,0.23488697470901376,0.2256886538471168,0.24603054094999935,0.20497605306327968,0.0,0.2204382943699028,0.2429066331033823,0.25796679430582514,0.34767117528938024,0.25516212055624926,0.23517739494999743,0.2469610148239605,0.23132428789450546,0.22856980737973898,0.2915809604019326,0.22757506185590703,0.21592076080822617,0.1584538032798952,0.2102956819033782,0.22860314886768637,0.23316765009389787,0.22538754047095058,0.2337526762707744,0.2372137739290013,0.245377569837071,0.20641760715830035,0.20740230532034068,0.26940738325478125,0.26085241754263444,0.25590671894011596,0.22584953708313893,0.1485153232181227,0.23012975171556194,0.22952388010407615,0.23430674719763242,0.23281947806313602,0.2753011301426087,0.2745375287372239,0.2861325890489754,0.25297189891888827,0.2407221764597212,0.22470159923828018,0.2425608212203677,0.22789049541562675,0.2299674449012703,0.20262902919680226,0.21003537187087506,0.23372275288386019,0.22832660230483534,0.23516917956248914,0.26542376140955126,0.22674648596202535,0.24169860185024397,0.23423177068596107,0.23607883740084218,0.2431357885625456,0.23496078074457358,0.2253079993078126,0.2794792271185205,0.22226081417825314,0.2814839410357435,0.2417015487381171,0.2777444816803819,0.22849074776012626,0.24287304126793255,0.23824683066212302,0.22815372544792328,0.2465579123373365,0.23461438713480762,0.22769598611743816,0.22331986329513387,0.23274948965402625,0.23332062529887754,0.23063770583004528,0.22610068678627315,0.2289116003424001,0.22569917456684938,0.22982972181358696,0.23020612502845456,0.22712750074601018,0.22190318812501464,0.23178118085852753,0.23557901196221964,0.23309507706746993,0.22874677180682895,0.24416819905378973,0.22720596093534523,0.22828993213257437,0.25516005627214416,0.24069723205204205,0.2299856164394189,0.21697972046560743,0.23097026029044718,0.2329013451044401,0.2254773976501254,0.23190365334494145,0.22950756410884246,0.23087019334606176,0.22340883659832964,0.23249986861186725,0.22938429970935498,0.24329176418588433,0.23153924369363577,0.2348775118893562,0.23120821455456814,0.22914986543544164,0.22961003340956287,0.23124487385119563,0.23193642594172575,0.24155712256264436,0.23205306031711193,0.23069380811155296,0.26495952848278675,0.1854893320223676,0.23176535887940147,0.22966654507511675,0.23195087909137085
+90,0.301822056632197,0.15035897260423367,0.3699054467346424,0.1753485161814678,0.2996911108177047,0.1464468146750763,0.27578227791452853,0.19643814873769314,0.1738300160985593,0.23084939954219663,0.23460546582515981,0.13661101274843232,0.270807967180368,0.21957884494457702,0.20198354683740175,0.2800452544999591,0.19269235130628679,0.22323382638533765,0.21637227208990054,0.19853321889468847,0.2432484395457349,0.2493439441095112,0.21391800901753674,0.1789643514921993,0.30180509858388743,0.3398398993616588,0.23388788557537712,0.22646041669756894,0.14074080004476075,0.14486334049683813,0.14055435104007344,0.23577588632220448,0.11294524703552955,0.2055325426603427,0.17630948858066156,0.1276148504602614,0.13174972843078867,0.19750323793764313,0.27097233151037886,0.12032813867933559,0.16703665831610107,0.22914802262239997,0.16155158062113137,0.282259952092365,0.22307057850205286,0.12790004172716435,0.1427681069026753,0.1414269172695464,0.13075134695198984,0.17665582338811286,0.2293821074925463,0.3256263432195468,0.2818067616849447,0.27062613174454714,0.13986278299148572,0.27788954390740356,0.13884253190915055,0.13913140684260192,0.21564467194603307,0.16098031470049182,0.1488838699967884,0.18990799689334492,0.19085692302493087,0.15037384272191753,0.11906716576041443,0.12354365169877383,0.262011752847133,0.1782307473093591,0.17205544670923664,0.2321074214931472,0.18612107513785553,0.16779736730913866,0.14125441674574418,0.19758855790547553,0.213474806277881,0.14065482943249583,0.14272373461341722,0.18911262517698466,0.14394797640712093,0.152201853765593,0.19997664615387037,0.22761088947325162,0.170681348768628,0.19167264121952454,0.19245350442290413,0.19406509408187983,0.1364525131840186,0.13487077401465766,0.27899442774319655,0.13790855178601713,0.12334142346755288,0.2310867167019257,0.21925521857736005,0.18722556928300005,0.13521411558050642,0.08658640027003318,0.15393157396730509,0.15641760928751247,0.1409088123740501,0.17231203987164692,0.13838881728347152,0.1864282089819835,0.18832778680599524,0.13088264709007327,0.14111064390082081,0.1442752000744439,0.14009316170860361,0.15551140351546255,0.17276982015177547,0.1385153248108746,0.16132208346306373,0.14956475254170967,0.14359756154302142,0.1516085111904232,0.15537270930650848,0.24217852262812423,0.18206279001020348,0.14773450331667853,0.14371831674037752,0.14070716259174523,0.15475367437293172,0.23735242129949927,0.26296526501710416,0.2581895905707695,0.21980739625054205,0.2831327194221435,0.155620815214249,0.17705367065194585,0.1153456354346784,0.1524168253041911,0.13714934897489228,0.11622287497922482,0.2204382943699028,0.0,0.16269127992384447,0.17586322201406576,0.2939502508232962,0.18793669184183498,0.13143830336952494,0.1596134265301403,0.13549106003210717,0.1307544307653067,0.22116109992937605,0.12873908609265838,0.0993060193976554,0.16762845155096923,0.1352982974742206,0.13110589796143182,0.13586751148461926,0.12947100193505418,0.13875165313116375,0.1477716190640125,0.16069991652392018,0.25526073741089667,0.1293706304215719,0.18709625448345538,0.15274715751197362,0.17797251893878804,0.13124726117328558,0.18295835176671915,0.13661591513171006,0.1294609455710189,0.14032613745831568,0.13709537378186423,0.19851240884373098,0.1971998954108844,0.22396380066268604,0.1772702580116136,0.15272157562272093,0.13365044201924697,0.15321671493099584,0.12834837343395786,0.13956943534527463,0.14539004492063848,0.12415485512316776,0.13801815393058026,0.14797737965686023,0.14187842191927114,0.18717230938104518,0.12411280722779801,0.15474805981726433,0.11611856515254199,0.13141632331383155,0.1456478696480101,0.15497176144928812,0.130294005309242,0.20981556587996267,0.13752043721200635,0.22869737844864443,0.16983067940515512,0.19798259292491435,0.14009970029584418,0.12007553802892959,0.1570111378668066,0.1396081580101957,0.15784713845895504,0.1292575912382432,0.13133738606293746,0.1356530236893343,0.1414721815710564,0.13613878493101855,0.1323145658288782,0.124615456479326,0.13393902247170353,0.13097551103934404,0.14501226418899385,0.13513300884992405,0.1519252575534878,0.11022083295982371,0.13530542193650694,0.15106426253608884,0.15091284736589472,0.14384979205868254,0.1552507263201794,0.14178166261369685,0.12387799284144259,0.1764995549048002,0.1472651810325475,0.1354790348660442,0.14412640343520416,0.13377162027888473,0.13659708933787448,0.12937545396995015,0.13522924167304587,0.13736977933450337,0.13364906442854754,0.13009112260066594,0.13774611855019891,0.1390544980059428,0.15146799543150896,0.1336932654648686,0.13755257850109567,0.14126701168093436,0.127810871266452,0.13495617076608937,0.13705555621791915,0.13521319650021513,0.1513207476364466,0.1351629303733136,0.13507119427954356,0.18358705117872476,0.14275556060897382,0.1343417933447777,0.13428642054320072,0.13531370523242128
+154,0.30909328502513295,0.15728569564721284,0.37679239809094334,0.20293314544669033,0.29497296733265416,0.141540259851794,0.30445483231392717,0.20064526386409634,0.15354760392086467,0.22284682281349474,0.23900004359158625,0.13095305419500514,0.2946773859478214,0.22205496017700185,0.20743805115007113,0.31010132361244147,0.1927817205548772,0.2232943863789785,0.23423761236384785,0.2106014761516408,0.19039898799228133,0.25141759751530257,0.21968417411705768,0.20549095922589575,0.31913106075298414,0.3456259277363475,0.23852641786554815,0.26141431143626703,0.1391758055617227,0.14446526746105698,0.1442220794195713,0.24009537818298077,0.14188674078255636,0.2098945265684573,0.1761736127207397,0.12770064945002269,0.12234694210708391,0.1721101282007979,0.27028988623952793,0.1542305727285084,0.20122770279428945,0.21949598544692406,0.16595695556005505,0.28451297076245596,0.2364575910963244,0.12867716018723238,0.13529096570195998,0.15505135755610497,0.13690863831982295,0.213538146712405,0.24534558468436982,0.327598891023339,0.28710488099221976,0.27002037423289643,0.13625944180097052,0.2852987435014094,0.1592030685996055,0.14644854834453325,0.22264631958443845,0.17033659089196765,0.16202953955036198,0.18334364614777063,0.17742525034375134,0.17740131684160446,0.13604904568524248,0.15126960511900245,0.2645080129202389,0.17877563323080148,0.1714865205718651,0.19042391569824768,0.1894246450035072,0.17960820637418137,0.14064320935808272,0.19886557400405375,0.23486589020452414,0.17304073131502992,0.14312507601341345,0.14955784552352366,0.15231360229892538,0.19649571602920068,0.23351238108383426,0.22778444580629173,0.17930996339985036,0.18691468175498574,0.19092070783559706,0.19706186487827643,0.13965554867897453,0.13896859901413403,0.2572063019602989,0.13073363286981068,0.13770916927136725,0.2536751749582234,0.2249330936797368,0.18990920854984458,0.19516868639243537,0.15622709507036445,0.14955604981868684,0.14372865698691345,0.14858284718570985,0.18962110080630515,0.13602226776238457,0.171985056129632,0.16130858356049158,0.12806710447809905,0.1431166413100144,0.1259435491176054,0.16724323331497865,0.15618648025595921,0.1785120101183465,0.15148593435733063,0.19523562514293508,0.11515279781035273,0.14695800428335162,0.14874086132368572,0.1544735601058976,0.23451739482875028,0.18081189422831592,0.1453558287887957,0.18666589353800292,0.12013286488061496,0.18809801685508182,0.2370143592217033,0.26747127664835596,0.2639240692366286,0.22565225627314414,0.2857442384065523,0.16236063770470277,0.18925444536868102,0.14798301228037578,0.1548557985608291,0.17317148980479796,0.12909633944107501,0.2429066331033823,0.16269127992384447,0.0,0.17973349231712848,0.2979771240782822,0.1935677706388058,0.13578893290018718,0.1702829548867273,0.1452120573835723,0.13495388481616744,0.23254892914135888,0.1305931672563422,0.1341672363583125,0.1774171879983619,0.138290999696231,0.13055842711831792,0.13688576676658604,0.11969741784486918,0.1548294728799556,0.1500247271603617,0.15860756760872533,0.27504363278982463,0.11993593015167554,0.1821588872959027,0.18053460827095635,0.16597349927826757,0.13094716195302852,0.19472749582338875,0.11551846180691726,0.132485460412886,0.1402248159338796,0.1397933365021368,0.2004153828835164,0.19866899244175226,0.22479582598286135,0.17606355237791602,0.1523650796171695,0.13580857769747842,0.15947248394295388,0.14277645158134708,0.12825312655246066,0.14274158951294533,0.1525083401427596,0.13780713583151916,0.14301605031658585,0.12275796905049571,0.2019223962094495,0.12971666040989252,0.17470974654048788,0.14097288730821383,0.13923327246506084,0.1751183977882789,0.17199374008516846,0.12000205604781894,0.2379966738828474,0.14235162713906457,0.23656920567270276,0.17355298041517225,0.20501921539540172,0.11986856284544872,0.16724511878506187,0.1804412287090746,0.14231623807655408,0.15946325054161292,0.13846700095097825,0.1294219349822817,0.1362337838831163,0.14394624337232909,0.1473768005238249,0.13564330139953903,0.1361517804083297,0.11893881857448058,0.13696579044498752,0.13308323361590105,0.12340015514725997,0.16550133361410932,0.14927267323240168,0.13466912870606584,0.15045868086558156,0.15079727364637227,0.13877972799294414,0.1590290306172635,0.1415161398718424,0.13158304794434061,0.1326686212501399,0.14710181465899871,0.13675624120503987,0.1440072634412207,0.13504848853910198,0.13214489958441877,0.1309480555266742,0.13500765632350611,0.13570281507836165,0.13158219439914084,0.1422333112350664,0.13745950800356174,0.1393512583719256,0.15707500176237335,0.13001173914914246,0.13845271904079154,0.13792548826096213,0.12273438027320743,0.1356523403079937,0.13562378950199058,0.13540522905656785,0.1510788174040293,0.13499955670568925,0.13531923706605675,0.19008556947251903,0.14683235490842927,0.13494567761778176,0.1371735249018769,0.13169428976072325
+49,0.22495089600930002,0.15584768354675163,0.35562749539553634,0.2068871148651473,0.3211648551892591,0.14329273658997144,0.3039349690739049,0.21125607040031785,0.18596431579797532,0.24240845404488864,0.24646029205049363,0.12624920284559846,0.3037444066913232,0.22509140404895164,0.21007617218085373,0.31950162828557915,0.19561206389131358,0.23038708840158606,0.23650868171083514,0.21911051230292117,0.26463780461807435,0.26383143237922807,0.2304189762079137,0.2144522027989954,0.3224920539193962,0.36227240456775384,0.26952798050758736,0.28578801309616425,0.137421989755936,0.13288495997306105,0.12936465105700223,0.24940885247693095,0.15070502036065364,0.2148172348047162,0.16545409565268046,0.12052477733635952,0.12490527462516468,0.21265734354158206,0.27605071253175517,0.14339638093658036,0.2218973013774274,0.250878634162811,0.1673272594549872,0.2854536624537307,0.25156084237040865,0.12375390829615607,0.11021074202066096,0.15001620562838494,0.12594784301660666,0.22208860371687764,0.2472314897088728,0.32996339858350315,0.28632135154012606,0.26977157360098025,0.12406516737472888,0.18290829175584603,0.14258416875545155,0.13352029206000463,0.2288482199447175,0.13335850401816457,0.15065085223216787,0.1916928578372136,0.23175012297469716,0.1980471030725507,0.13001720014483115,0.1566691198029052,0.2963886840321835,0.18230140547278295,0.1689573986884723,0.2549316085636824,0.15825594924692443,0.17983537073426797,0.11267894598118379,0.13113815283284985,0.2519483561771743,0.16922160287136098,0.12840256221322738,0.19989004833368468,0.14823712548583684,0.19642769930661794,0.24891368509820344,0.2267774739110748,0.17296297997314122,0.1925137294494979,0.19182222369466814,0.19504931734731445,0.12346298190250594,0.12428086606102261,0.3125805657722125,0.12238703729430887,0.13653207074331986,0.2586349667675773,0.23394100732741316,0.190366401714586,0.20184306672888,0.1665475954081655,0.1595055978012479,0.16318641002257514,0.1634467814723499,0.1818403215831232,0.13470468116197556,0.14950045640758258,0.20322265516016141,0.12206528553885787,0.13917279902107604,0.1578737808860778,0.1616396634750171,0.13773435872631556,0.15763131803184674,0.1637369332809982,0.17538761374909836,0.17009323453377728,0.1374838037235689,0.14546388218888281,0.15462462522530693,0.24274378495496868,0.176271590739697,0.15465135452518008,0.1977806814447611,0.14958311159223184,0.1889449036505678,0.1658657984921727,0.19504414453852195,0.17994272979382875,0.16517832236852348,0.18386819879474037,0.155635309293712,0.1854458063040615,0.14755030195403943,0.15175359188580456,0.16561162023844192,0.13380192045680717,0.25796679430582514,0.17586322201406573,0.17973349231712848,1.862645149230957e-09,0.214821334268007,0.14565891427242142,0.12727204891266533,0.12133835639672658,0.1571259210717565,0.12152296182369933,0.1434768590240067,0.124295169887385,0.12151077417161552,0.1758159323957697,0.12893665715201605,0.12153951885610322,0.12248094218566333,0.130404157131341,0.14940500508876092,0.142308925062351,0.15967962076222078,0.2953952355171103,0.17021251334017676,0.2372231657896746,0.18205478037070472,0.21134368422599376,0.11430374494579745,0.1974135374083373,0.13978287893778113,0.12333216841220283,0.13147935908240188,0.12821335641326229,0.19817435073191836,0.1984374168269353,0.22459468832078058,0.1723521111825022,0.14330437881433655,0.11810244038263591,0.11149037861265026,0.1353841454472116,0.14665427769691172,0.16877668154811684,0.1503317004682029,0.11110013186052627,0.144703144702478,0.1545611796327913,0.17712350587446324,0.1170676652979167,0.17666518077046098,0.14092513393034614,0.13466573342435945,0.16945671494075348,0.18301497528419589,0.1272456478684113,0.24141304370090844,0.12371763563436515,0.2377458434382657,0.18001576559421398,0.21098130877476198,0.13646421541504214,0.16764125572543964,0.17797037258252926,0.1288344116264461,0.12445333072296044,0.12542782570811645,0.11513869689354199,0.12280423817299238,0.15252989085211666,0.13203009885506958,0.11559069824052752,0.13249342216004195,0.12989535039728223,0.13273207268481996,0.15150902429178667,0.11544306858640563,0.1616732037361446,0.14927648043995123,0.12064458484987815,0.14017621375802455,0.11907062882671521,0.12723169362126216,0.15367765101313688,0.12824248203479238,0.12893681934995047,0.19444483912488159,0.10708902920766011,0.1218333879044677,0.13644789174621652,0.12009013394952225,0.11708155231380737,0.12120024202798543,0.11344155926109731,0.12498073963824304,0.11937710589720579,0.13027391318750928,0.12168569028032222,0.12625496245128967,0.11745424804996404,0.11171951751636215,0.12777710144568866,0.129218150757253,0.1267460732601836,0.12067500840116537,0.12583037652805423,0.12062612699025617,0.09874263501772769,0.11815368489868477,0.12085270193695738,0.20736970108174113,0.15409394281061203,0.1191311712661055,0.1212470850657885,0.12007276557010887
+125,0.12811163263281927,0.27715417338130155,0.3290491996606041,0.31228001210623263,0.36701516207285406,0.27290018734459237,0.389514382397693,0.2884893190567076,0.29692917891578013,0.3312704729590027,0.3370068363348337,0.2727792007040801,0.3707808915830377,0.3233821659580025,0.31443237563334764,0.38799125566089065,0.3039936376572611,0.32680882702082237,0.3286049471287272,0.31703505740353727,0.342895468958553,0.34997590083112173,0.3307798930800189,0.30367552103768125,0.3469006406650248,0.4242328384173206,0.35042421462301443,0.3581525406288896,0.2735788164538914,0.27466466492500063,0.27335591655291736,0.34229551982028783,0.2826811020133713,0.3110022135776216,0.29072537662561615,0.267314631684428,0.2724907491849702,0.31511754903786093,0.36845625155983347,0.2709181490208546,0.3234805228851627,0.33851522944035195,0.28748573368913144,0.36930980582918227,0.3155968401574061,0.27123131807860723,0.2584862345461409,0.2844466879424913,0.2723200722381712,0.32259037518663014,0.33779467943222474,0.4043299667453209,0.37223873726144446,0.358101629115719,0.27035795595675804,0.1488235361319861,0.24676694772894314,0.2772803550636546,0.3183013597509303,0.2901874873270971,0.25692552343753766,0.3070469923852236,0.3296676374274507,0.30422399918799714,0.2712803399137905,0.28072275785089007,0.37223309686702705,0.29550866732421466,0.2902311536931247,0.33818115719672154,0.2982409895958656,0.29325254117210864,0.2737894738318456,0.19041895209318135,0.3404956249467766,0.2692474613121223,0.2742357222536416,0.3045624811654106,0.28081508495717084,0.30585163634549944,0.3288703644236415,0.3297081449533195,0.2964007068998578,0.30566139920346963,0.30729606281002797,0.30739918071526345,0.2718416959233569,0.26460300808703185,0.39053906349595846,0.269391815155641,0.27347963702457456,0.3467098452552533,0.33201174799100186,0.304394152403409,0.3096190697909086,0.2837163638903196,0.2797499964478577,0.287922820096889,0.27635746419828183,0.2692411493649918,0.2749528845135267,0.20799334257223182,0.3104284183667194,0.269062491580748,0.26601062117628704,0.28739514144122724,0.28925242718885485,0.2807919145449927,0.2890848191773829,0.28799170364416554,0.2668194743667451,0.29218143716157075,0.2812352192542689,0.26993872207867786,0.28354841068720277,0.3403915025213614,0.2979969829207619,0.28625903901504207,0.30334847173988766,0.28132192096233927,0.2963433730058167,0.15710445363634432,0.14262763518923113,0.1313086873876755,0.16552295474260317,0.15444255796967438,0.2847898128251823,0.3001185704259643,0.2836883730681236,0.27862324325007193,0.29158348918262855,0.27448176075456193,0.34767117528938024,0.2939502508232962,0.2979771240782822,0.214821334268007,5.268356063861754e-09,0.18660268661145893,0.2742118712589949,0.284325078134693,0.2847122212900816,0.27063023697396976,0.14863599472730785,0.27360898750642265,0.27211350008698687,0.29423185622438797,0.27359220167751297,0.2702238793961254,0.2723159388095344,0.274139796168049,0.2737275635452103,0.28020179757431696,0.29329203302411133,0.35930553374078794,0.2913690691373153,0.335519585175256,0.3017828995756935,0.3127331163808787,0.26286480772711635,0.30652348760866677,0.27701368947470956,0.2726702733547795,0.27461365963630463,0.27233652765792116,0.31309023672503467,0.3130684057011418,0.32904813712003617,0.2953998631753894,0.27791567100442716,0.2688155864203939,0.2436905038294338,0.2744715546108528,0.27848763007124805,0.29186083827702886,0.2826349890900057,0.26039694555762993,0.278088090196368,0.2818332328809411,0.3092944889324558,0.2725009402979528,0.29802767612364695,0.2792574610763804,0.2773096988728865,0.2942063128922119,0.2869716364509477,0.26882265567995756,0.3323913841018886,0.2636073013878386,0.3306668064395726,0.2972484523697967,0.31255212400787796,0.2705401598153668,0.2931481641763045,0.2985830948001587,0.2738230819529041,0.24051250293764898,0.2725817004797477,0.2705324767275979,0.272129404519052,0.26566407622679933,0.27449103511030565,0.264675417041402,0.2743539407166191,0.27421235972098373,0.27730262605330547,0.2841302366401756,0.27300717667446006,0.28733548191380004,0.2751810112398153,0.2712908483344409,0.27534562062628326,0.2601208636052075,0.2719394104828086,0.2869171880771485,0.27271922137455995,0.27276857125720894,0.30250984426906097,0.2803610666055219,0.27177878945805783,0.2772439729223267,0.2698869034327911,0.2725906993896714,0.2714858792180492,0.27102757417098067,0.27295530287518927,0.26968287904111354,0.2762140746163701,0.2712122162918005,0.2732275478611237,0.2522421344136286,0.27211263243181244,0.274320302227478,0.27511504227913725,0.27111525138522474,0.2704612244264412,0.273493590208416,0.27144185465118714,0.27940694994160614,0.26930556663930283,0.271426949185789,0.3170896817181646,0.28634626931663915,0.2707280732310164,0.27116656258877897,0.2704061029605788
+286,0.2212287000985472,0.16951581384354303,0.3150303933974681,0.21369997162948837,0.3015964909586141,0.15840895896875032,0.3042281277585406,0.18375233020641038,0.19749688021139553,0.24635945568993947,0.24989853895037215,0.15556295084030108,0.29530476299656744,0.23082729361880588,0.21605939814212433,0.3151973963008745,0.20643224285270387,0.2290320667779115,0.24035874962215084,0.2180990158269138,0.26168183035107967,0.25654783648002566,0.23345531511211734,0.20816555858824756,0.2908545601310547,0.35687548310336126,0.25185716983578305,0.2709944060753291,0.15783988196966478,0.15807673930011945,0.15923005044331434,0.23589925182244662,0.16467662748728026,0.21265939175233156,0.1897081429685961,0.14628077924623126,0.15546453228450557,0.21515210156952824,0.2919839365793629,0.15045903329985744,0.21912231457595457,0.2294363355073496,0.16757543622272417,0.2902802720276543,0.22565176244732282,0.15414777469539542,0.1519312528327045,0.17372109849686085,0.15617798095380675,0.2275266093415342,0.2533848237630903,0.330203727261796,0.290946880208878,0.2784452848597848,0.15627829651727523,0.20813790592954787,0.140403814496665,0.1587867576773757,0.22010524990159605,0.18485761717430113,0.12492333179171508,0.2013051814359938,0.23137408701478804,0.19600474698561685,0.14637185767619385,0.16239207599903002,0.2785100538470589,0.19476673056771276,0.18516214714773055,0.24835971001538254,0.19623790552432419,0.18855635772753915,0.15717880713184587,0.1596060809736686,0.2466586348570189,0.1502834759044072,0.1580929249223848,0.2036700249274547,0.16744272337524044,0.2121273324476731,0.23815827599889486,0.2384901684145668,0.18177653362653637,0.19974529819134756,0.20578279792433832,0.20544249207961468,0.154081702494183,0.1550167378059853,0.3124671471350735,0.15139514445610602,0.15779034472192488,0.2587175331258276,0.24154397741449843,0.20172276492139296,0.21001997713989407,0.17497172912016917,0.15324791748485642,0.16660224662458106,0.14647536411797385,0.16550196827778235,0.15127870314446393,0.1502009225602855,0.21053339001236537,0.15230048866616022,0.16211949683584895,0.1759667710462766,0.1830713673124589,0.1721934037166435,0.18830125718001128,0.17993877661029287,0.17419309446189576,0.178510659262418,0.16646010059977023,0.14997761606968832,0.17144147970667833,0.2520946288378764,0.19304875107360775,0.17301689444333307,0.19309032639527404,0.1690448942447386,0.19664798624271154,0.16343421673789055,0.1874422554303837,0.18495014579418417,0.15373079324969127,0.2060896868372987,0.17506710298041636,0.19780270318713344,0.17118912026461444,0.1728662725694316,0.187281849344127,0.1570818175880086,0.25516212055624926,0.18793669184183498,0.1935677706388058,0.14565891427242142,0.18660268661145893,2.634178031930877e-09,0.15619768987749286,0.17106254050712955,0.1765993515806362,0.1524363960195126,0.13695950535518397,0.1555868035020201,0.1544691924440974,0.19025218398688698,0.15426094105502533,0.1519160860708535,0.15415013262374144,0.15764271345457875,0.17288719160167296,0.16374053212697637,0.1798759814177468,0.2823424834872694,0.18246687628931735,0.2373661533157211,0.19831605188326443,0.214554106696303,0.14635230043329914,0.20807734997624136,0.15734019201777363,0.1552407951726315,0.15793725989749266,0.15676698634733902,0.2152552808261496,0.21541623742530228,0.23970291238564057,0.1933467434490097,0.1672547862768054,0.15157937598860496,0.1527394235562875,0.15481500636322526,0.15424441077861856,0.18001880601347775,0.16726618877016552,0.14792073176679743,0.15821085455651204,0.1670222916646074,0.2146548962910036,0.15123742018679093,0.18998010124911766,0.16530497782147954,0.16012681520597144,0.1856947555511213,0.16492805658581877,0.1483963063865135,0.23852496755596617,0.1544277651816681,0.23750137888103476,0.19555229923589562,0.20904603450811607,0.1490172932452543,0.18497711660713206,0.1881987131120236,0.15820329509025768,0.12402273849135044,0.15652602906405835,0.15321658764144763,0.15400235912977758,0.13340077282845994,0.1543589872612968,0.14983905250985521,0.15605651579021537,0.15850808015568615,0.16115347293336443,0.16812995428080704,0.15644277037216014,0.1749800196452302,0.16445284658343712,0.15263938090854987,0.16670776649848998,0.1580209079200356,0.15889807429743097,0.1762114377690425,0.15811125428485695,0.15187065380900902,0.20358093854900491,0.16809933479422348,0.15106409653779337,0.16043409224462535,0.15014467164589745,0.15508961914075758,0.1500474768869891,0.15324532339542277,0.15554348675691948,0.15200226158925445,0.15304510458991905,0.15403629773358438,0.15440591779460747,0.1272306145988807,0.15518426362754234,0.1579523664125717,0.15753491024574545,0.1545540345182931,0.15253617508980594,0.15609365792716495,0.15271459139345092,0.16695701366815663,0.1510538259421887,0.1527366138844094,0.2146883497768721,0.1728691937726174,0.15127491982678057,0.15123238894529534,0.15255926679419815
+77,0.2860667578548338,0.11603581355877085,0.3725123963345069,0.179983647013983,0.3139199879136845,0.12051928060209464,0.3002709094577454,0.18589661319846415,0.1550820907947724,0.22188338594750576,0.214886260301455,0.06474600770908014,0.28934861131505707,0.2030097520749063,0.18133163808390249,0.30527582507036943,0.16719410703002086,0.20275300608397845,0.2133403007344651,0.19488410061612035,0.24532650995717556,0.24235791888564953,0.20047461487855056,0.189906703724698,0.32510763511084667,0.3411085907515781,0.2539059554236004,0.25880130315554717,0.07880117462210931,0.08429126315177463,0.0826102925965708,0.23174807409054998,0.10421909042311041,0.18780437485873988,0.12624261065277692,0.05147428391193912,0.05808674964817012,0.1857052376363457,0.2680358760744343,0.10095716835241697,0.19553737165932306,0.22647784192646592,0.1284466170795872,0.2636680123898436,0.24031783497985235,0.040275534506051196,0.0687810997464538,0.08504933699939812,0.050773408125550513,0.1844276790261978,0.22333211638822786,0.3122445053903216,0.26616143887147264,0.24812610111409325,0.06669601356035272,0.2629660612411881,0.11924478268185697,0.07075280658855881,0.20653404864676358,0.13131854414167937,0.11879895456855617,0.1585713393454375,0.2069746436113977,0.1555061020433458,0.071687812901569,0.10964517029640322,0.27934775848232024,0.14159130756486965,0.1299951937702273,0.23483089049985065,0.16074091112005823,0.1441900528267565,0.06249358287900718,0.16041091308965535,0.22881852456261528,0.14416472749773004,0.06780095410080474,0.17223407264365814,0.0943130040609789,0.16160064410599728,0.23521608168648162,0.19778487545827866,0.12448892212913346,0.15697599529386594,0.15703658937174525,0.1595755169047918,0.044956006786291004,0.07245286970297335,0.29196314164457454,0.05010151565409432,0.07757571386885495,0.23505835606999262,0.20057061253800462,0.1578124313023247,0.1765627933068822,0.1271627935250078,0.10802591440871286,0.1228553532834926,0.12287789012102712,0.16325923780730411,0.08508829378966476,0.1635195183632716,0.17404304531460743,0.07856834710203657,0.09759639023583691,0.11146044762666786,0.10073690028675181,0.10104364602781414,0.1330455397597505,0.12409523549229667,0.16187157711761485,0.13235702787859294,0.097371559742054,0.0983253148571689,0.10761531318939252,0.21433525336069084,0.13585529793252402,0.10751657382344414,0.16802677640508848,0.09594167681111643,0.15629173490318238,0.20712671679390238,0.2414935141034749,0.23334074758067827,0.19430991620951266,0.26199344758043436,0.11320714376949043,0.1507896565819107,0.09659979462124935,0.11018821147030006,0.12276797757706283,0.07807136804117067,0.23517739494999743,0.13143830336952494,0.13578893290018718,0.12727204891266533,0.2742118712589949,0.15619768987749286,0.0,0.11854659244493818,0.10746778420653265,0.05496145682135138,0.19711761087960236,0.05137226655672169,0.07056053314647105,0.1420857824290461,0.0680184138390327,0.048057320986161334,0.05080127253488325,0.062434482418944,0.11692034632952066,0.08951516417570067,0.1256784664967873,0.2812174583031067,0.1345207024015344,0.21120182988845562,0.13265488547898954,0.1804968255660721,0.06278637582276775,0.167856380618396,0.08629701581544252,0.0458769514427838,0.07050958850256618,0.06962244011167364,0.16384242656369313,0.16298207939398804,0.19713113367781182,0.13364080488203825,0.09825721379637592,0.05333775571338147,0.0950270980739704,0.07672471449659568,0.09947435410827914,0.13074080629886595,0.10567186308140973,0.056982953134277196,0.102167532085771,0.10769499206603901,0.1697864320812015,0.05538317075708024,0.1383455064307484,0.08582198092150808,0.06870116612410473,0.13264348871799084,0.14442956812759594,0.06958230040150691,0.22332061270467474,0.07495011236129952,0.2153257859225489,0.14200227463574025,0.17527776157390898,0.07335549718500325,0.1247141984059516,0.1418708246118675,0.06596648774700156,0.09646511612102898,0.05145485421380049,0.05421713010633723,0.05250005938549191,0.10359865660963444,0.06494209263885033,0.05425068242260725,0.06740289570519423,0.0722645884491163,0.09305233649079002,0.12173344808204392,0.053140405638313085,0.12278573003726787,0.10470496933941982,0.0494514671096093,0.09783209854140976,0.08396901280870993,0.07447674038921262,0.1071140145667876,0.07087179074119931,0.06005575856822785,0.16193021961281687,0.08625219833635905,0.05356448341520813,0.07268674137837003,0.04219269827417691,0.053574990016888625,0.048741350143235045,0.05227491963843501,0.0587484668858969,0.05028544562203672,0.07396651776450243,0.05440133232541769,0.05606348009782329,0.09288889847693697,0.04927572819951982,0.04987659542843449,0.058878688191530075,0.06586638012606373,0.05135349023606154,0.055742197727166425,0.04940551801264357,0.08485341033005762,0.04961121026926869,0.048934646318639155,0.17018215751282068,0.10319417798486577,0.0432281050970338,0.047576090705556,0.050260666524583233
+277,0.3021787452249369,0.15178761699983298,0.3767258577557253,0.19858439868859068,0.31332533832244136,0.14140253184856597,0.2837880199787653,0.1804886454414659,0.17627107913833945,0.23990604637976173,0.22789448084722505,0.12060363214956532,0.2983813139418564,0.2219081744784515,0.2082097466030019,0.3105611158148756,0.19203797168688222,0.2252939835604195,0.23197708285598603,0.21129081951015713,0.25856946986995116,0.2584705423722221,0.22155651991841654,0.19377339377200906,0.3288194818447463,0.34925815554746864,0.2523701951204148,0.2721751253497767,0.13606352539548253,0.1311033130839555,0.12762050097546568,0.2407079613039972,0.13780353513972213,0.2040961302683062,0.14143661526934276,0.11882811829328971,0.12114257693894907,0.20794407669126702,0.2582448721876865,0.14020478281459375,0.20863517439960022,0.24397098686225255,0.16427648716395227,0.2802455794581748,0.24589323200833482,0.11580593669024428,0.12836303004524013,0.14553003376404272,0.12103303297863505,0.21247476244268543,0.24399587742788836,0.32797010119433484,0.28351181918732254,0.2684720929288442,0.1252739660686123,0.2570693216064073,0.12999679402580244,0.13107369727721918,0.2260803594025557,0.12138392907891035,0.13768867368313564,0.18542504602765375,0.2000460909487297,0.1863278453533492,0.12645602874663125,0.14821673000044291,0.2905951332422736,0.17261017033031367,0.1675461372359555,0.250238386269029,0.1494452503265723,0.1754884468672175,0.11101875315141109,0.1900859730143003,0.23730605063694188,0.15604991442329702,0.12813882955604636,0.19569780435334772,0.1431218985353538,0.16826902701427135,0.23643255505671304,0.22399215755275886,0.16946461885847172,0.18751186469232237,0.18770555484242316,0.17854706531499928,0.11816095179051789,0.12874819181559816,0.28499401120247675,0.12211829166640929,0.12372170064245609,0.25098379404913296,0.21606612770556563,0.18675443124715113,0.18314978948217614,0.15451560272856385,0.147492362332874,0.1587143642263417,0.15003996252806545,0.18398407452300197,0.13140551635787207,0.18737464148261446,0.1953664601794208,0.12168676190394676,0.14106041079011486,0.147390247823889,0.1567451654273612,0.1343029315049969,0.12456916651337292,0.15030342046499895,0.18392397433632848,0.15598998229360675,0.12994355308311706,0.1372809841536566,0.15081269429768845,0.2388082870146645,0.17379427592633814,0.14922776963944617,0.18661286561360807,0.1389961155406055,0.1806196019138791,0.23234188081453583,0.26089872456879765,0.25428776942976256,0.21838632661550633,0.25802536429884737,0.15233824396685913,0.18254051113403846,0.13520711292021242,0.15170778039746347,0.12895326501623408,0.12571855891037734,0.2469610148239605,0.1596134265301403,0.1702829548867273,0.12133835639672658,0.28432507813469293,0.17106254050712955,0.11854659244493818,0.0,0.14280767538388606,0.1196840831819983,0.20938871087290123,0.11801586302620805,0.10983950026577871,0.17256915802072156,0.12638822359700677,0.11567808933258895,0.11447520548886857,0.1179981846518859,0.15079353957309585,0.13810974714140065,0.15195362051573744,0.28673013123933955,0.15578384585035657,0.2221672305065876,0.17376894474430507,0.19725802443025425,0.11268693023764569,0.19005402959745774,0.13352176600849425,0.11228332218192322,0.1294713202157991,0.12763828506134053,0.1937020443416021,0.19195386416124618,0.22147147992886448,0.17169144050205024,0.14437142624775642,0.11895621456937894,0.13468893873408305,0.13184066710463568,0.14177926570249866,0.14959018018271222,0.13959102580977792,0.12198546635551913,0.14280920639298947,0.14539870200968713,0.1672575376974603,0.1066727510070629,0.15705929252251563,0.1304017287745424,0.12897680244714893,0.14931534695961418,0.15876568454179185,0.12666778846846982,0.22507138097060983,0.12851051447788286,0.21533911594244848,0.17402780799598244,0.20035187762080023,0.1215013583043317,0.15495018354583198,0.15772329587890127,0.12596159177567928,0.1326731254927489,0.12349172399593254,0.10667208547429648,0.11891147502560988,0.12931959131111145,0.1329502862544217,0.11961929962834938,0.11834645034195725,0.12069830144747817,0.12141577916531768,0.14741483746242476,0.1034898283247019,0.1232407232306072,0.14117982847650523,0.11894007675795384,0.14295613390569337,0.13676334232417164,0.12882422131260493,0.14641299619810277,0.12863090547272132,0.12006633218658622,0.18891275714724146,0.09443519473102387,0.11974328079644424,0.1315722981405257,0.11620291938121084,0.11451103131546712,0.11537537655786229,0.10896099370523035,0.12208005703494584,0.11950858430568752,0.12332699065217648,0.12148665604190859,0.12222139724134129,0.11675988523519511,0.10719504991508867,0.12464221763498066,0.12099158506354478,0.1206711353688124,0.11723662134874666,0.11811645992448805,0.11931879105550938,0.08709535545840072,0.1187813959012703,0.11792087991283363,0.1832851852692652,0.14640882649951215,0.11632436706788349,0.1187341865662213,0.11916453174317285
+158,0.2950042590071885,0.13156156935973062,0.3572260519570835,0.18749131506971983,0.2864975677661984,0.1333652177539847,0.25713737738165504,0.1819612557329336,0.14356240969967732,0.19247478113558417,0.20215986056954724,0.1053393470171848,0.27905889770152187,0.20968758379801364,0.18255931101404363,0.2970818199453538,0.15852211744264083,0.20316532856187264,0.21906403849466918,0.19383817756214655,0.22065680109627162,0.24181094100063522,0.19236176976671315,0.1868037114451357,0.3092962638997937,0.30434665076869954,0.23930604940046468,0.248327643976995,0.11223278331901988,0.11058425038070632,0.08955667716841391,0.23122944607146836,0.12237629140792967,0.16006824118822627,0.15708261882151442,0.10325751012082487,0.11127687142081501,0.1927418387772505,0.24361223341147967,0.12905618205089045,0.1826148246389584,0.22562793029532385,0.14815366175307942,0.2685747866290659,0.22476321202355354,0.1009046509199816,0.11866608277082194,0.13447479146859206,0.11554976501907371,0.1951658545246755,0.22930957322657833,0.31625946736426985,0.2722565950787158,0.24663943799265048,0.11462528048239672,0.2714733624930574,0.1305087471529493,0.1180141121782197,0.20699010195260514,0.13155866711100941,0.13897184665761786,0.17126797236554614,0.20237445965532105,0.16224797178846984,0.10971959013736265,0.12327843745274338,0.2764509560934,0.1538553626173811,0.13793832165997863,0.22713443541836828,0.1578312526683653,0.15050892594099213,0.11531973898002792,0.1831992065684781,0.19416909353616904,0.14879290665250786,0.09948147856105627,0.1691009770179795,0.12590713157329667,0.17727896346134508,0.2153435735782959,0.21060844456687372,0.15947113990678757,0.16569146966243486,0.17620060744805185,0.18193598834878885,0.11141685704086468,0.10958780253239214,0.26228841759295046,0.11335751879767415,0.10127672037852108,0.2361827262013992,0.19232090053504924,0.1711574697309161,0.16749345360316328,0.13347161814719896,0.1204380464608488,0.1401264002601595,0.13506907298757687,0.1540024375936564,0.119422903813384,0.17258364791789785,0.1631661526257086,0.11378153621981552,0.09762865305796908,0.1303840014415562,0.1483954294053688,0.1365949213426496,0.1570277613459263,0.13645577259207542,0.16775653970094404,0.14919478877693135,0.1329427436144937,0.10914217657642825,0.11710578367639161,0.21823358997418038,0.16139813213771467,0.1291766678969509,0.1672010224694668,0.11622298602206596,0.13805872647409365,0.22462567066320727,0.25396729610594776,0.2487272541330429,0.2085890525886325,0.273419639011843,0.136176590086523,0.1510938327578168,0.1224398938932307,0.13113335158370917,0.1441041316932673,0.11405702138040939,0.23132428789450546,0.13549106003210717,0.1452120573835723,0.1571259210717565,0.2847122212900816,0.1765993515806362,0.10746778420653265,0.14280767538388606,0.0,0.10991747802278339,0.21222676403957427,0.11139150196723359,0.10815789481465689,0.16301377731377342,0.11395027126474953,0.10452173788288366,0.10546759802812287,0.10573718787648588,0.13311913849984194,0.12943612740685817,0.14280170974600617,0.26510934158741545,0.12856679613559124,0.1986145907056617,0.1627756864481697,0.1601017703818059,0.10512069388672636,0.18290361360134533,0.11880786800456529,0.10699877548371346,0.11457495331903605,0.11298185934482069,0.18077818638275586,0.18153604678391164,0.1968251264893007,0.1563563518351595,0.13029282816821205,0.10908390795311068,0.13245888617958385,0.11031775969738981,0.12327815102148615,0.15019496026369245,0.11411858600219073,0.11118843284532165,0.12884720092661991,0.11837513738588289,0.15267427991169127,0.10212985672405281,0.14920822305094913,0.11218978652636144,0.11522445505437806,0.14655126170611116,0.1427446763705629,0.10850228701771024,0.1967844543044079,0.0932830478743091,0.2077383563768096,0.15102978675228623,0.15656674583316507,0.11917002089957617,0.13253617309738092,0.15411035722564723,0.1169046063707344,0.1382211376391343,0.11378575338528124,0.10389850465772105,0.11014681686923489,0.11822755953585004,0.12309702074904331,0.10582415362840382,0.10343465330344159,0.10082163594999237,0.121604478356272,0.14174388173136157,0.10823674845173198,0.14345588463815528,0.11528952816448111,0.10853733678995305,0.13070844479547916,0.10692525971512752,0.11879729549196474,0.1284643280921383,0.1164964323413665,0.09801292976216118,0.15463390957386622,0.1298621505889332,0.1100794070412287,0.10058402322419364,0.10824186394548364,0.112267761052276,0.10571124388526176,0.10926104033199277,0.11187634038288095,0.10840936509278579,0.11447888435784936,0.10652669342183202,0.11141756397853507,0.1325004700039912,0.11177956120817469,0.11552172525948927,0.10774062273375212,0.09654257813094086,0.10693014099967085,0.10927126042370323,0.10903181931079699,0.1283409577648637,0.10889012028680965,0.10755623820910358,0.16760701442212064,0.13451623612311023,0.10780036177571363,0.11016367767359676,0.10924055330829759
+230,0.2839284593480569,0.11342998467935539,0.3733846608298741,0.18377887468987292,0.31416191258661297,0.11702122251147774,0.3008279617436616,0.18829900828631185,0.15425502305483188,0.22250712441334794,0.2182552648999376,0.05429502936449024,0.28423931114678774,0.20089884038220623,0.1792569494324177,0.30173791073092465,0.16556878066367012,0.20125751917489823,0.20838216318171005,0.19227206402216968,0.2453055525854653,0.23929578346867794,0.2001305379217311,0.18971146552260287,0.3237053625091808,0.34628076171724054,0.253684840415248,0.2684049712199045,0.07677235105402386,0.07473307102879832,0.07506115457982684,0.22784267413775186,0.09686247988730008,0.19199954411209658,0.12187859732327626,0.04394384032154593,0.04533567090069434,0.18714306545068346,0.2745723143131122,0.10074071644841205,0.19349319109220556,0.2268114223605423,0.12458773288830927,0.2611344676750516,0.23611948038868388,0.04719499468853348,0.057935395017397105,0.09402636941187427,0.05422211138229512,0.1957470423002904,0.22238978565005518,0.3086807824909527,0.25844069529907127,0.2443769255170744,0.05422689395079411,0.2597735535069743,0.11155940658085821,0.04618887436011808,0.20434207983270736,0.12562856741504574,0.1045230075077737,0.15171325865177895,0.20424771241595813,0.15413928106340474,0.06735076308435671,0.11028641988340959,0.27893817755658745,0.14257448491434258,0.12527378054068183,0.23246052777326698,0.1572626273870448,0.1440911186183475,0.05162561023044079,0.156552671232358,0.22978165995531757,0.14221465114864393,0.05407821679782481,0.16631085176487823,0.09376395944176621,0.16779920664782982,0.23437272629577283,0.1926378768643862,0.12736635218122172,0.15366757152782218,0.1477453000919827,0.15220862919404035,0.0509956671298775,0.06822122427972521,0.2923946827291598,0.045494153760071085,0.06929467330635405,0.22894844805303402,0.20536111405432717,0.1533762929611606,0.174281827380451,0.1308975539475783,0.11197802378563733,0.11625871097837429,0.12306320566974746,0.161041983744939,0.07324306683041586,0.15965204145339115,0.16725307863457015,0.06842363128411157,0.09963104219984625,0.1058383637994922,0.11502740676677116,0.09480186096209181,0.12281715105116948,0.1250721100045578,0.15967533042462723,0.12776913238732612,0.08380977063124381,0.09575118576197687,0.10397360706325888,0.21048214094772433,0.1319897927857155,0.10170567762828574,0.17150015320529663,0.09877648482435301,0.15644385025032895,0.20365960430842808,0.23872420977174702,0.23080511484974356,0.19185125416951912,0.259057477917197,0.1061130970619759,0.1439466175333677,0.09355171933411513,0.10736650136995575,0.12071335522681707,0.06740136602441042,0.22856980737973898,0.1307544307653067,0.13495388481616744,0.12152296182369933,0.27063023697396976,0.1524363960195126,0.05496145682135138,0.1196840831819983,0.10991747802278339,0.0,0.19306484665101828,0.04768319247186307,0.05596835588325648,0.13486537864700007,0.05439336845108377,0.03774512398241696,0.04429648128031917,0.0571721368849818,0.11589703097316466,0.08586074231135561,0.12470570212356376,0.2781631281152262,0.12735910703788783,0.21518512192546074,0.1371201354803464,0.17713782173813314,0.055402362911269126,0.16198856347595494,0.08235410448587148,0.04573285089047395,0.06291505902865037,0.060654861708568035,0.16258678466229415,0.16305026253629212,0.195737580002738,0.13274580385642315,0.09055232171512237,0.030526097466814794,0.09091014884129553,0.0722428306507281,0.09472944336694131,0.12611107791517853,0.09018317454941456,0.04083574851817302,0.09547733211435559,0.09659081739350488,0.17164995438015876,0.04407846199297689,0.12985416325449864,0.08128927759942302,0.06737610303649332,0.11959563606655264,0.13977815555856998,0.0597274554782039,0.21923793619541163,0.0701776377296971,0.21176362158832895,0.14596053338465498,0.17781509504596663,0.07470843430916625,0.12308038127858567,0.13023465409941273,0.044201937008414856,0.0928196500438579,0.04848767949391418,0.04736726295691914,0.03643281985103969,0.10411516556554572,0.07131498984934163,0.0385204680849283,0.05820023478570323,0.06659431446530514,0.08492794911289579,0.11678553103653212,0.047835839473604785,0.11863097759779517,0.10413053371560206,0.03061972687648854,0.09022509987870482,0.074313000825216,0.0621354840140366,0.10286719950315981,0.058661729159600426,0.06636959681661835,0.15723577731510516,0.07963477831467027,0.0298183361903775,0.07046653283776212,0.036379180392629905,0.040141843073546284,0.03591548431114809,0.0334896266965986,0.04344921593163806,0.03176920505406189,0.0446406429993286,0.0381171046237864,0.04433434663123651,0.08206848301769837,0.04095077358458376,0.052009407010575166,0.059178119953015536,0.053882899487352344,0.034970848753553586,0.0433782906639787,0.030488467502371136,0.07542448472796467,0.029703009701951198,0.030247756781616526,0.17304506029049166,0.0952957318926433,0.037882932471684505,0.03298488549876401,0.031710747268002264
+315,0.17424141088845202,0.20978183507053197,0.336796134027189,0.2522945872635657,0.32997812071367216,0.2059487314426769,0.34256671070907824,0.2301750771208797,0.23035100744850642,0.2773739440032721,0.2820693571455334,0.1984683390206964,0.32703133743354557,0.2632891047024345,0.2539768410567933,0.3404855137925048,0.24329405642579185,0.2687664775057768,0.2723883544053491,0.258690489600492,0.2931776552248516,0.2979037107073007,0.274628175000808,0.24721926813007597,0.330399935031635,0.3829263215178264,0.30094342114871764,0.3081122962484208,0.20119888116739945,0.20264964053109716,0.19671407829449564,0.2904658830678872,0.21144367153063545,0.24908290765260194,0.22316037281724208,0.19098894502848313,0.1972278945879454,0.25499185854115075,0.3207246316389706,0.19212017967081124,0.26327016824322513,0.28555014517417204,0.22115672989592375,0.3191884380878558,0.2653267989064493,0.19516904089270232,0.17847799049698937,0.2138103152536416,0.19625946432577615,0.26297164018021946,0.2818853928431962,0.35956037992612394,0.32248849475757774,0.3060643961464892,0.19406313316358442,0.1677825982239209,0.17528953214064344,0.20382719841332106,0.26330779395429704,0.2224605445081565,0.18226108034176897,0.24355132514663216,0.2694525882958207,0.24061572614114116,0.1970623954136633,0.21007811384908878,0.32551577076717075,0.23016707415074694,0.2226878347434454,0.2877510847696082,0.23761397707772805,0.22772160810199132,0.19760034865169518,0.12145706396428546,0.2844956537731458,0.18289778813769195,0.19944902052792182,0.2442870425855941,0.20806618914931246,0.2387705417462352,0.2772487430774582,0.2715698134991976,0.22961796288481764,0.24170163067552913,0.24428706299613817,0.24456604482060182,0.19387337147030181,0.1885399614367395,0.34257781716185465,0.19362675083755654,0.19603150939164002,0.29192367621092646,0.27465697345224466,0.2393341122294444,0.24580632282559428,0.21247146339185757,0.209107144237991,0.22004158984666652,0.20381608013476285,0.2012520282954277,0.20268109795315692,0.18041848882374062,0.24843647531650018,0.19561745184167753,0.1902261857667859,0.21776429704319925,0.21926686660513706,0.20758869763253826,0.21380619694145084,0.21658752536639828,0.20464722475924102,0.22546878735983655,0.20853252233967629,0.1950674336939602,0.2130299152406085,0.2848317446788529,0.23174074962855698,0.21559451384922693,0.2407657481534261,0.2078681525399081,0.23029880384119716,0.16354602088704812,0.1719490145547601,0.1362524742927298,0.16856617372137062,0.17905452909475927,0.21570048772446243,0.23335718626652,0.21074503343445755,0.20843173928124406,0.22055100298965064,0.19900200788721298,0.2915809604019326,0.22116109992937605,0.23254892914135888,0.1434768590240067,0.14863599472730785,0.13695950535518397,0.1971176108796024,0.20938871087290123,0.21222676403957427,0.19306484665101828,0.0,0.19880487146360332,0.19532545441460467,0.22272535786227554,0.19891552980394575,0.1936151149411193,0.195675518464043,0.19777895003663087,0.20450669362468332,0.2081894295268487,0.22532191178635733,0.3135754186931685,0.22246117470952284,0.2764713774739982,0.23566468212008881,0.24981369325791813,0.18838309461731487,0.23746762479014197,0.20378425888745527,0.19542075121037225,0.20029319049981467,0.19651509694413058,0.25082815707884754,0.25003315090807277,0.27058298648688056,0.22905771981184603,0.20632061625411,0.18934553030461557,0.14974343971599824,0.20179409633079665,0.20559601473728872,0.22320170489916918,0.21069498403420064,0.1797978523919739,0.20698590236979927,0.21226045688441583,0.24843421692109194,0.19664726835381668,0.23079157189333577,0.2041725022348655,0.20333709898662564,0.22429596841996483,0.2204613966092243,0.19525247747241356,0.27736435870286325,0.18805157600646008,0.27471878506440234,0.22800151964312912,0.2503555258993706,0.19410587986617467,0.22336059097248337,0.23089255698327332,0.19892748032261703,0.14920709858412937,0.19729982513462424,0.19450200674984444,0.1954925493929376,0.1893157665477525,0.2007882805353113,0.18638444924872477,0.1987891267706928,0.19958900742165228,0.20254842117723415,0.21478513371576652,0.19583788998146384,0.21639609423111372,0.19679779411641748,0.19552641233558493,0.20016896458562017,0.18069478581017637,0.19655142650634172,0.2162833135681997,0.1979567743559596,0.19630905598447437,0.23893192423633222,0.20748787941631305,0.19584535050981952,0.20232620006673216,0.1916123462723508,0.1965956729815396,0.19429124869685177,0.19459947683241607,0.19774319945799118,0.1928556223432109,0.20161238448017554,0.19516916644279653,0.19854306024697094,0.16322662417882952,0.19628436585010905,0.19984234783489505,0.1993930885696562,0.19477756659072995,0.1937136372269488,0.19830550168172578,0.19566736241701024,0.20557826274407523,0.1923792678413963,0.19564126898321532,0.25262142827696527,0.21320692011824727,0.19401321633144356,0.19430902286804677,0.19452660458350993
+220,0.28676764995529275,0.11555029982518139,0.37201825256469484,0.17873594806522103,0.3112917705174722,0.118852017433335,0.29846558678282653,0.1839678016120804,0.15567049353114926,0.2207708440668232,0.2176901193805996,0.057089078156891716,0.28497090400167063,0.19908916436733665,0.17866197289919633,0.30044426170241484,0.15989901207983373,0.2026732925948016,0.2093824405974871,0.19205253700129918,0.24186142518461712,0.23852203878181472,0.19736201005568657,0.18425105943539535,0.3194163440888971,0.344831756208423,0.24662909698212573,0.261669056647578,0.08067657922238902,0.07762188430747967,0.08051276427299066,0.2262886719333497,0.09709558642427861,0.19287194166793534,0.12208488907629421,0.052920355423746346,0.05200630421755186,0.18150150856634228,0.2735407867819926,0.1032504656230732,0.1877482257981117,0.22298540796806102,0.12635911749262763,0.26264064001375875,0.23290389363925287,0.04530836161722633,0.059265436098155294,0.0932481929498511,0.055105996598899656,0.18996764787163742,0.2195229320902542,0.3108925017133195,0.2635550291272745,0.246828608615896,0.06232182278318127,0.2602740338305626,0.11292705371147221,0.07154580724396953,0.20303749131593488,0.1260307672335134,0.1129204694960087,0.15518110920026545,0.19901784443015957,0.15682624473406173,0.0696837988943885,0.10963976727337467,0.27565244904800096,0.14429093496620163,0.12763245631168377,0.23117302522059574,0.1576825514744971,0.1417612178164373,0.05465238888106766,0.1583601521753393,0.22556317690832972,0.14201314804197152,0.06239998097874303,0.1686363565108584,0.09568900904773392,0.16369101491431037,0.23185535786119613,0.1966558115920602,0.12736889595672843,0.15474940600408743,0.1549101916526702,0.15801140214058232,0.04671277506923354,0.07509744133253236,0.28462726094199153,0.05115949428534035,0.07723216810269791,0.23110783632173554,0.20078537919204056,0.15593717032178017,0.17074481644115397,0.12405073762942177,0.11395905603029909,0.11847071679335006,0.1172097964500846,0.1563495566375934,0.0782278578308791,0.1598052981296872,0.16906128143513213,0.07394781313027533,0.10171594513293626,0.09470920897561454,0.11170374300065278,0.09231357081660026,0.1262252340253588,0.12172330344840972,0.15813630415283886,0.12377533417195032,0.08331856743151471,0.09942901544348715,0.10733267822772932,0.21241053073218075,0.13409100539764462,0.10481648538359907,0.16881645137268503,0.09560847834731515,0.15115938800679016,0.2059745489788928,0.23997907198622714,0.23458728773946103,0.19409005530440548,0.26153554990485467,0.10529119711461565,0.14710131509772034,0.09138729424098994,0.10223084174886887,0.12148226643370837,0.0686623693166346,0.22757506185590703,0.12873908609265838,0.1305931672563422,0.124295169887385,0.27360898750642265,0.1555868035020201,0.05137226655672169,0.11801586302620805,0.1113915019672336,0.04768319247186307,0.19880487146360332,0.0,0.06049844804555697,0.13671255635415394,0.061381303595833846,0.044807477109935524,0.05243610025468392,0.0571408554958476,0.11608897966188256,0.08675695271325487,0.1174189343860725,0.2775791012618766,0.12405905152122591,0.21233919919238237,0.1369488479796596,0.17854049544176018,0.0609926677687426,0.1627459931402702,0.0764118127123351,0.05324884830018888,0.0676229782280039,0.06551302798059468,0.15992724822544074,0.16151954251363335,0.19356213623499108,0.12608000158759236,0.09152124810021686,0.04885430820547445,0.09798385878508806,0.07616606925310114,0.09599831014523591,0.12111125288166504,0.0965013867202021,0.053036692666392715,0.09436127767900043,0.09905318525742317,0.17140738461820118,0.04810525912062765,0.1275387755748955,0.07978863243536519,0.07174646702276583,0.12189160183473337,0.1386092845419343,0.0657597212524166,0.21787364988172797,0.07048799291425593,0.2112791719613682,0.14440894392297215,0.1791047419095651,0.07483213184844993,0.12058967820037698,0.1337033198509955,0.06463587432589518,0.09818405332487679,0.05214514312904072,0.044316996703183016,0.047911929406046064,0.09794779945533179,0.06336841642629297,0.04952976233662277,0.06731597857078159,0.06946677699866427,0.08608470864393195,0.11703589552277788,0.04543032368520834,0.11610338403474457,0.09739492686369888,0.04360527702852752,0.09517734321157786,0.08190439753888085,0.07043349218530964,0.10591940059012385,0.06054084261954682,0.06663497568162795,0.15586169866656996,0.08527337502314121,0.0434620397338233,0.07072338050418113,0.048094833898602043,0.04591613614756695,0.04680413340576622,0.046545436562236024,0.052284751494840756,0.04298934565227363,0.06078958409814336,0.049783241529027515,0.05190535155778695,0.08670218601830293,0.03756694803714842,0.05629237728160957,0.05896271428670461,0.05869844455522659,0.041963688675283745,0.049084128971557145,0.04358552367319251,0.08154826802460118,0.04425216760766542,0.04399999568870903,0.1708223294296726,0.09511678696187308,0.04706886051414366,0.0424437355335814,0.04056222719649646
+65,0.2838583900151591,0.11419150703562538,0.3681192359667691,0.17002094730370534,0.30497820169947737,0.11254494521712537,0.28247479860307717,0.1838095796414938,0.1521651770694266,0.22005530090209066,0.2156721752409462,0.07143330308134128,0.27305881554912725,0.20056911217864778,0.18095071136858878,0.2883601700779982,0.1643367970310093,0.2017048725362473,0.20381900418948812,0.18789952515430228,0.23839975173204725,0.23604887868262478,0.19494982863962293,0.1765770113888867,0.3082636229089926,0.34107779198444765,0.2355423128960465,0.24843506682458236,0.09080092356027544,0.08792590985200205,0.08595939458284324,0.21740582856688387,0.08226895155848014,0.19093337770417948,0.13314471223058896,0.06307397431447243,0.06662779847132341,0.18083472953223656,0.26368881376953723,0.09270833781563888,0.1681063551313007,0.2157514874666129,0.1241812608512967,0.26207168675463094,0.2239919713334049,0.06198608709364415,0.07998397400584498,0.09757055065402569,0.07088540480967025,0.18126752536341467,0.2170614078265508,0.30853898757280757,0.2593894698598786,0.2472023374697378,0.07700978719306788,0.2555609572174936,0.10866504824312924,0.07204034399682438,0.19978247991186865,0.11951243368324573,0.10641530361853009,0.15574827774055156,0.1888610366593314,0.14179685154340807,0.06730677252219343,0.09766154559448693,0.2654060835595,0.14661887740867247,0.13309147219023396,0.22641953955878819,0.1500700538385947,0.13973556967864947,0.07168184366046003,0.1628755713932678,0.21644557661071576,0.12941957121731082,0.07817306375089479,0.16588005313140955,0.10360076863432008,0.15338382303730813,0.21404812758398806,0.1989433257395065,0.13335352526419184,0.15681030237273902,0.15424368170599656,0.15658342028663547,0.07304826149352951,0.08144612052826361,0.28070565478288384,0.07084648773773086,0.07299674798506874,0.22173541198173108,0.19825235984728942,0.15754681263636877,0.15052030536175137,0.10297294188702596,0.1159834795927762,0.11900432790563908,0.11373880520554554,0.15231265402370875,0.08025156635291628,0.15842998220589086,0.16402869670900772,0.07429910576207611,0.1022602674448165,0.10648580043639846,0.11456577230401793,0.10355189137598853,0.1270404979651145,0.1176874963106486,0.14616145927170499,0.122009730248834,0.09126801542852274,0.10542847567630688,0.11322209536983364,0.2156913644622757,0.1402012178741099,0.10842537950549888,0.1505226521685445,0.10201858936917214,0.1476750163582875,0.20753677742273455,0.24051208046881445,0.23328044758584524,0.1933228158635661,0.25680910716884114,0.11501391074426542,0.14671642949222802,0.08602788711058786,0.11074670910521946,0.11513387961427593,0.06326598836689977,0.21592076080822617,0.0993060193976554,0.1341672363583125,0.12151077417161552,0.27211350008698687,0.1544691924440974,0.07056053314647105,0.10983950026577871,0.10815789481465689,0.05596835588325648,0.1953254544146047,0.06049844804555697,1.3170890159654386e-09,0.13630257139921909,0.07427651372674555,0.06141785505015392,0.0705166797224125,0.06790291070427837,0.11134439386140206,0.0964857370799882,0.1197767486569886,0.2629187507224286,0.11283218440174711,0.20080285617616375,0.13371189823489102,0.16695570297227463,0.06572316548930517,0.15911373098829265,0.08540112485677734,0.06413306584750274,0.08129610462205097,0.07750067493416189,0.1642865894414708,0.1649846110220504,0.1954164497848815,0.1369606304242371,0.10159398751753095,0.06447864384524458,0.10359820410530673,0.07526866471169462,0.09766329744438647,0.11616287449033331,0.08502347675322018,0.06917825518348837,0.09840069717939905,0.10291638197791488,0.16632314433809076,0.054742268689103236,0.12516590449990087,0.07994503038297851,0.07572068473938759,0.11864142126451224,0.1326497672060911,0.07253833894680804,0.20755338750676502,0.08112319444194745,0.20900719010798083,0.14706453588353166,0.18056829565017854,0.08497940797940357,0.10886205472168145,0.12909579131122942,0.07119636321920955,0.10717026947176472,0.06965607379360937,0.05897129701714105,0.06659327808242296,0.10580447975232087,0.08361567283346884,0.06381391886050775,0.06801706386494069,0.07831855728912547,0.08516196412034659,0.11139880931610303,0.06303860782086602,0.11683158778879307,0.0894918159005876,0.06381522918633958,0.10191791708562586,0.09238895195412931,0.08220607325770031,0.1082603048908341,0.0813293234102736,0.07471096988708541,0.1544883581412346,0.08023054802916009,0.0635744234441091,0.08850873885356265,0.06502475541957484,0.06675013145655269,0.06191645492272636,0.06066652727669004,0.06845467245054368,0.06175999912732683,0.06381206733885453,0.06812276689358604,0.07233867989615657,0.09178375592082529,0.05892646017278669,0.07101846201603317,0.07541665666370448,0.06435555716738908,0.06368392194422368,0.0711235486601124,0.06372361557931848,0.08335993851899512,0.06351973445249223,0.06317814451002962,0.1675478408273656,0.10476118644147317,0.06661609879037189,0.06465025186663674,0.06418844648776383
+56,0.30252617992935593,0.15863630200017648,0.3830982745729815,0.18580786987452816,0.3196503864598976,0.15590595761283216,0.3081035472539006,0.21458879875404555,0.1855659823754026,0.24622523110483643,0.24926219235595817,0.1393252680391248,0.21234557071019725,0.22446541385419447,0.21204723595114694,0.21959187986499543,0.19592864983068575,0.2293082860858245,0.14707748859617956,0.20497471833178801,0.2629702338606331,0.25838651883280994,0.23338814121026896,0.21456598869081486,0.32160749790322885,0.3620294582687166,0.26311791294223363,0.28030078859175783,0.15191186098680928,0.1499572574066825,0.14500090035950305,0.2523478071385562,0.14498499229374598,0.22387438991211853,0.16084202329039957,0.1372372695597477,0.13989803085961644,0.2183152753168535,0.2930987109485643,0.14925879063916297,0.1741952421172137,0.24734431659224212,0.17176324978232552,0.28107393161578126,0.24939880035441003,0.13740737730718053,0.1377410016033463,0.16123100476722454,0.13839059441683924,0.2290475972559196,0.1804647247398698,0.32449427303800527,0.28358466702709423,0.2629424095716462,0.14164845865205153,0.2791130806085565,0.1654352268593477,0.14258605817757533,0.2336523731219813,0.17171938577648901,0.1653315663425915,0.1938155990070672,0.21539152979761328,0.19390243325453832,0.14241228344154302,0.1555087199662715,0.2955641449693608,0.1903726478078433,0.17967560546554637,0.25594110917661494,0.19891348711926135,0.18730971851893044,0.1431606581179159,0.19519093480678784,0.24834410534898957,0.17308361128270627,0.1419096731764995,0.2034032618312768,0.1592860070636351,0.2031879624970843,0.21559491431693115,0.22484547460213442,0.17854460661568233,0.1926834738369747,0.19672847668180382,0.19878127341494903,0.13700972192244804,0.1455167056314895,0.30597764838129776,0.13904627547626652,0.13495433386231448,0.1588916999390392,0.22217238205055473,0.1924718222347772,0.15788247801705035,0.15958886334352593,0.16973997646324535,0.16844359875371626,0.164528563540683,0.18131078311691617,0.14629794788120035,0.18255408588697933,0.20152424204902006,0.1431258468351011,0.15339575548974074,0.15750207093876947,0.16866483539642702,0.1581554524667589,0.16958656146057827,0.17206553554872123,0.18742073424995734,0.1490651045907957,0.15380202486930988,0.1607506161330494,0.16416615409731555,0.2403843691659958,0.18060353539201895,0.14983856701367398,0.19999561886209263,0.15508902224864235,0.18995302244072587,0.2360497052858612,0.263950770872138,0.25986643416105376,0.2136193412212058,0.28368913943512636,0.12016223709208572,0.10131060828489914,0.15433959045563905,0.1603779838615386,0.17275499518913665,0.12178221338537744,0.1584538032798952,0.16762845155096923,0.1774171879983619,0.1758159323957697,0.29423185622438797,0.19025218398688698,0.1420857824290461,0.17256915802072156,0.16301377731377342,0.13486537864700007,0.22272535786227554,0.13671255635415397,0.13630257139921909,0.0,0.11384729079028842,0.13609834901113999,0.1395010320911478,0.13904711691372895,0.1630188587520556,0.15470230663777584,0.1770670756542503,0.22144052492510383,0.152523149989409,0.23062621244335066,0.19073980503189772,0.20670933932782418,0.13842707058448928,0.09574713382866364,0.15238369532165427,0.13767308212640555,0.14571715006223762,0.14349569074225124,0.20828730840456713,0.2081747960293421,0.2335108714455791,0.17367351812273069,0.15631867249055384,0.12898155270979794,0.15067485717576673,0.14828950071268485,0.15624670781389016,0.14789151934682937,0.13632917245604093,0.13912394358939748,0.15445686636100497,0.1584449025359614,0.20059676468599683,0.13594201172043946,0.176624905149196,0.14492194757079227,0.14825686584634665,0.17145175478730537,0.18317729037246883,0.14077860402532966,0.24279396086459726,0.1438602203709425,0.240550322212944,0.18415107847986628,0.21574657619230755,0.14434548342197756,0.1718062327956883,0.17523160502465068,0.13711958699697732,0.1582233828181324,0.14181934459694331,0.1374276625778203,0.12655534116529712,0.15918622623773823,0.14763869212902514,0.1388741445029657,0.14189554655676223,0.1393326445576135,0.1471501986032114,0.1607575088835782,0.13963696936437056,0.16192635273314837,0.15418614806841052,0.13758088863882104,0.15792321734357673,0.14979170952029372,0.1453140974377387,0.16567227680490812,0.12680559271830374,0.14190962494034332,0.1953439553394565,0.15502171518996594,0.1360695624254073,0.13087992576858953,0.13554562424786676,0.13997050048110318,0.13098544602228812,0.1384821831508787,0.13872691877945242,0.1363074355084778,0.13418597640877264,0.1347687650474798,0.13948720632734302,0.15523319143164013,0.1372592801851223,0.14180423168648051,0.1393879876842826,0.13740421954049625,0.13650992461328326,0.1399076708784844,0.1377952197880415,0.15373456326271276,0.13753682080778493,0.13628187499679914,0.20863271004728823,0.10067971257391019,0.13740355268472157,0.13374560319223597,0.13647773682248732
+24,0.2866706494589394,0.11869020147251164,0.37316546064620926,0.17835708515307366,0.3159088096345051,0.12045734869777884,0.3014282035586563,0.18772373477904217,0.15910254771879906,0.2240995501055779,0.22285201104818622,0.07066332874296781,0.2717426392425713,0.2031904294973255,0.18150254459971327,0.28772979099212015,0.1659544252165492,0.20486456862425753,0.19599726340222573,0.1939928450575914,0.24688004162883526,0.24196080479762858,0.20420225444847467,0.1935999882429315,0.3238349571937402,0.34897387452439377,0.2552341987483714,0.2659293479249095,0.0882786314460413,0.08623453626781466,0.08059050320194824,0.23106539860650396,0.10004643168456988,0.19577129989289183,0.11133761489039412,0.06169579853909277,0.061128284605592935,0.1896008060484231,0.2768023617128807,0.10744353022639004,0.1818454279646067,0.22651073948668196,0.12977805708573947,0.2636953275541909,0.23319896326350012,0.059492264206572804,0.06491446811318531,0.10089785981171948,0.06424755362760147,0.19735581142030478,0.20621966790896437,0.31063496898264875,0.2648245568892236,0.24369342735253746,0.06892145261674269,0.26168419135478127,0.119640364551245,0.06845583409913511,0.20815784877933877,0.13146397633982457,0.1203567918130051,0.15735602907405227,0.202607379478551,0.16147132910384515,0.07654145796071221,0.11533920237169817,0.2791420021054128,0.14869004022364468,0.13234775741001273,0.2353059399006343,0.16300494074492464,0.1489789869302035,0.06856175502828463,0.15827966866909596,0.23254514237025736,0.1486817668118871,0.0657995703060754,0.17321915694522638,0.10227633733064938,0.17013235684118772,0.22490852600139605,0.1966284854989631,0.1312573872224202,0.1569336510949492,0.15786122120100332,0.1606684469128031,0.06368802876933831,0.08207547435103929,0.29098468779382125,0.057199024974536286,0.08718253923797119,0.21644671442279945,0.20651952224419867,0.15892164136373793,0.16709754894469625,0.12909881515469798,0.11848951484266486,0.12314145290786117,0.12716235801723808,0.15445337565133566,0.08315620453711084,0.16123821272457048,0.17258192968325933,0.07992883829420963,0.0991309440810782,0.11030966804297501,0.11526366868484404,0.10190037540345766,0.1324057512590351,0.1312597198906016,0.1651892994372319,0.1254808600285515,0.09740720200375796,0.10426996455645902,0.1120972153936595,0.21417809510786892,0.1390580244999399,0.09450390154783672,0.1728948076691715,0.10225179146156417,0.15561140645998428,0.20739831753842725,0.24119214809562825,0.23445477297614023,0.19417804947785258,0.2616572141408814,0.09141160358138709,0.11805470830150123,0.10186014053905769,0.11053122247502105,0.12677724920277844,0.06818295118359025,0.2102956819033782,0.1352982974742206,0.138290999696231,0.12893665715201605,0.27359220167751297,0.15426094105502533,0.0680184138390327,0.12638822359700677,0.11395027126474953,0.05439336845108377,0.19891552980394575,0.061381303595833846,0.07427651372674555,0.11384729079028842,0.0,0.05431577200472273,0.06395065190061708,0.07175938406201501,0.1158824581799866,0.09531096912705965,0.13057060454113367,0.2690217582423706,0.12357203744600656,0.21405429470904563,0.14352461254020274,0.1815619651374694,0.06704019036465199,0.1403866210643276,0.09363670954149647,0.05844049489135587,0.07614131876908521,0.07407160438359453,0.1680657111587284,0.168546137159111,0.20011562559123197,0.12544689496265035,0.09780329974828836,0.04962453449443694,0.10050457967852626,0.0824978627877532,0.10374752359011334,0.12743840410394203,0.09389978312858889,0.05981630595323231,0.10310000859930939,0.10282476982045137,0.16991109309629382,0.05941734842629064,0.14146127278954576,0.08586927516340619,0.07866392244352091,0.13122727896821462,0.14692532080749285,0.0707184850832973,0.22585144203774582,0.08097174324355842,0.2153069162646434,0.15156009133104648,0.18141783468619732,0.08310926668337175,0.128408311386595,0.14045871442343294,0.06756830645830299,0.10445043906901876,0.0625328873074642,0.06305011254795602,0.04671555733498639,0.1098144821727247,0.08053799739876198,0.05933992337572376,0.07704918722527275,0.07202671501248203,0.09563888806283537,0.12164692908522223,0.06379290374798023,0.12454637240996433,0.1118173941909938,0.053114397408716034,0.1002835240145041,0.08055607863156695,0.07631089190146118,0.11162634726379637,0.05369910978349559,0.07929006410317495,0.16185852213829308,0.09088131834977035,0.04931024912294332,0.06080914898606654,0.05569748079026314,0.05991559120060145,0.05293274440374189,0.05644004743988201,0.06166611925112017,0.05352341523484841,0.06217226958809243,0.04770168592367004,0.06180382170158325,0.09858765230094017,0.05847301436089286,0.06728259586775162,0.07119096782190251,0.06193259588320425,0.05588375520931396,0.0620887627800807,0.052984479564729174,0.08703746597083657,0.05279006551017171,0.05265966238161017,0.1765540375112114,0.08365184911833612,0.05749403217799486,0.05047408722137561,0.05429226599268228
+33,0.2828494853776194,0.11107726648322283,0.37188204124783536,0.1809642354505737,0.30867425182956254,0.11473609243993113,0.3005286627424203,0.1851928592969652,0.14925528178212766,0.22151189482327246,0.21390047437785648,0.04965190870218152,0.2861289931532299,0.1969294274705777,0.17806657963727696,0.3023037241241126,0.1629783442663839,0.19907153133032657,0.20930788483700669,0.19149384526502208,0.24127620439529956,0.2382732147466871,0.19921577331650722,0.18863950987953435,0.31968480861562537,0.3418921800578282,0.2518373141271674,0.2643223178492598,0.0756781963627644,0.0739607365950035,0.07301584682679277,0.22608914202591623,0.09483895488879233,0.19028771108689257,0.12215627929637597,0.04087524506270407,0.03724067874455067,0.18429541849033265,0.2706829984519358,0.09981658516846496,0.1906682672735009,0.22458411402347694,0.12228919202982239,0.25922488818794104,0.23687885013954957,0.036264546982784265,0.055638130020400696,0.0864562247132019,0.04985561549676449,0.1905048211097526,0.22182923333499877,0.30798140152632353,0.26174174066271755,0.2422587407454332,0.05382971544194417,0.2583536834721573,0.1121286114651993,0.06423914411576459,0.20362102047301808,0.12405731833561844,0.11204955441236515,0.1505640560391598,0.20300451218717672,0.15782597860814093,0.06352562127894623,0.10825390821571176,0.2764321188775444,0.13834812508495709,0.12375976134750694,0.2305025682157439,0.15615064448602808,0.14167854999622795,0.0507600881596158,0.1533903838653555,0.2278793735634571,0.14318697196190214,0.05297781405077685,0.16720545792536204,0.09044716043607808,0.16285138831969606,0.2342186196216487,0.19193022978694274,0.1253001793982019,0.1515639994461007,0.14871980751162492,0.15285900577063444,0.048762826790025804,0.06477332828116082,0.29037069022507717,0.04292633286883669,0.0728702453315757,0.2313423513523135,0.20063257948178115,0.15154759996322584,0.17233495803414117,0.1272996927769128,0.10841121410784886,0.11536997854620042,0.119805943720163,0.15940405366773627,0.06938412202155943,0.1571260478560364,0.16804223513904876,0.0650077826451045,0.09654780465124048,0.09451858603307961,0.10882074273076327,0.08632950966480928,0.12748227586121919,0.11505294353941017,0.1585529981981621,0.12431071144372347,0.08030276039374856,0.092908968647159,0.10307227114004579,0.20873852575348628,0.1308537375728761,0.10001757267458469,0.1679171683646606,0.09636317319487743,0.15542877792632268,0.20195114142351456,0.2362814113565009,0.22963853222063416,0.19007754747596417,0.2572255132842782,0.10024895082809843,0.14475095559317047,0.08995368691083391,0.10246580644354414,0.1187517541682708,0.06346250199892757,0.22860314886768637,0.13110589796143182,0.13055842711831792,0.12153951885610322,0.2702238793961254,0.15191608607085347,0.048057320986161334,0.11567808933258895,0.10452173788288366,0.03774512398241696,0.1936151149411193,0.044807477109935524,0.06141785505015392,0.13609834901113999,0.054315772004722734,4.656612873077393e-10,0.03906258107360403,0.0503451377032073,0.11121125530405981,0.07796077827967834,0.12285944865936232,0.2790364707945768,0.12742834717952356,0.21125170059167936,0.13565594454456167,0.17655060500125247,0.05098008405436574,0.164496249290982,0.08118425445994451,0.037500462765562605,0.05877513399769596,0.056596564280824366,0.16098646019472576,0.16109146271979,0.19444275973611438,0.13143233483574265,0.08937608901043745,0.03568577595279208,0.09007901383869674,0.06901847387959213,0.09292229027353573,0.12387052062842178,0.09476000455999838,0.03780191983275784,0.09392327916712913,0.10034743136674057,0.1711276702862533,0.03654106056253132,0.13341405388439523,0.07868779330555165,0.06136407939866021,0.12581151234244628,0.14091839828273445,0.05656650663134256,0.2221290634489209,0.07098635130220333,0.21305618444760002,0.14330263514880293,0.17657923688106095,0.07224484273366802,0.11874573509672959,0.13501850756892256,0.05178777565870006,0.0921549541403263,0.04500711478517703,0.042184690773440614,0.03656226802130689,0.10386640036074926,0.07041832287869618,0.0375689872260535,0.06022729714931752,0.06174745235239767,0.08365142255654068,0.11377909047631657,0.04307818266837767,0.11872107071187059,0.10382023246235132,0.027951663182038393,0.08979255923024923,0.07406577146600245,0.05968993789496549,0.09890820734340869,0.05755500807005935,0.06404246789271133,0.15773606490448325,0.07760258759230824,0.02862209325416848,0.06727294505158585,0.03223494177264363,0.03829290912204439,0.03281120877597343,0.03240639280558605,0.042503413388401155,0.029563903356278284,0.05350574298439126,0.036551908919286225,0.042690557090230986,0.08764814136963366,0.038507095534327115,0.04323579265219736,0.04843380262090402,0.04976210946065096,0.03133068373146933,0.04292209412000037,0.029320952132846734,0.07466048507021238,0.029495592278774067,0.028791951483030803,0.16830730657388496,0.09655325113250235,0.03409496041472303,0.0305132623963466,0.03055814512285607
+290,0.284409004667979,0.11283328089616859,0.37119731307366594,0.18220378417205918,0.311076577885486,0.11395919285766477,0.30022098117165197,0.18853468814278931,0.14919855934158097,0.2205212373129794,0.20893694025211207,0.04993861002209729,0.2873508225192441,0.20080075410742604,0.17892877509271807,0.3043052970713155,0.16521867184666544,0.20035987060210642,0.21122059660435039,0.18983512983315515,0.24525993857664186,0.2397226784468486,0.2007788253586975,0.1911756869609652,0.32354852375752813,0.3418825070206024,0.25128874381589933,0.263863175331629,0.07701092240582032,0.07751159482292737,0.07769032769389023,0.22984866173216278,0.10235234943287677,0.1911226179573957,0.1210420169833639,0.045345683146408654,0.047218713050348325,0.18778067081725372,0.26800208976842266,0.10024835158782532,0.19653198450888515,0.2258368587721262,0.12635535412410462,0.2598831201964296,0.23712290506040462,0.047541560391974366,0.05765457619885333,0.09333920400725683,0.04120706062499918,0.19186467087620213,0.22036713958690474,0.3102476472206314,0.2641946900112931,0.24600981867822097,0.05574849222536373,0.26038922506357465,0.11375303169704418,0.06344148825080342,0.20394841781219314,0.12277882357871613,0.11698936947929821,0.15388699956922464,0.2050245137869132,0.1620763107126426,0.06898506729719049,0.11047444280198764,0.2780622721943768,0.13601173911503678,0.12507797115344452,0.23279573800169565,0.15646595581182016,0.14343362346742025,0.05135836963129753,0.1563440962922325,0.22884603331195025,0.14328752164442501,0.06014783429633148,0.16886826373583402,0.09039820581690455,0.16650938242016985,0.23574141360388326,0.19406114200403893,0.1219833781281294,0.1521974871566933,0.15374136178747003,0.1567380284530544,0.04430654046364611,0.0670156484590144,0.29195066522198637,0.044846102923096424,0.07522484181400488,0.2346935482315518,0.1989050243459916,0.15280341890301827,0.17296358066642534,0.1312278003209645,0.11122521973815107,0.11876407660672661,0.11748602204908024,0.16070358594388487,0.07869010088058781,0.1577289806089223,0.17143247392209573,0.06808262567632065,0.10014572396460926,0.10593905985400603,0.11396052181699566,0.09743939802753904,0.13096100033992567,0.12022804193838234,0.16279487505730814,0.1301953097082195,0.09273935948635978,0.09563018729528218,0.1054870761993948,0.210212059045804,0.13206784441162925,0.10401641112536501,0.1711504779014519,0.09151328429080217,0.15542787877394965,0.20474938600959422,0.2389650377129765,0.2327668472841891,0.19174447531442934,0.2596014395202326,0.10878606588245265,0.14937172171253463,0.0926718611804101,0.10525782578391982,0.12099167637669946,0.07246148912217902,0.2331676500938979,0.13586751148461923,0.136885766766586,0.12248094218566334,0.2723159388095344,0.15415013262374144,0.05080127253488325,0.11447520548886858,0.10546759802812287,0.04429648128031917,0.195675518464043,0.05243610025468392,0.0705166797224125,0.1395010320911478,0.06395065190061708,0.03906258107360403,6.585445079827193e-10,0.05573341119968107,0.11170984952604877,0.08596534423225792,0.12537518162944167,0.28150006067593114,0.12786456347023606,0.20972495983052897,0.14081241103174794,0.17915392301801078,0.056061485494961635,0.16868092904272552,0.08484761562388253,0.03811667012753166,0.06214237844335635,0.0601058324022935,0.16249941089447842,0.16290300696591728,0.19616842847863242,0.1315993976168311,0.08954795200082391,0.042640031232709555,0.0911514696365567,0.07555361680005745,0.09489213721805877,0.13101490816343064,0.10119030547003521,0.04755599941231366,0.09492833270075378,0.10213640518204692,0.16942781784351454,0.04545109978057863,0.13705992986569074,0.08095414960134378,0.06948500508920669,0.1293903275180062,0.14360239122113835,0.06145045753122665,0.22318962973873993,0.07216580595522362,0.21380923401314347,0.14445994995303252,0.17828908704569943,0.07784926374512796,0.12279137684128852,0.14004409302035872,0.05869418204886163,0.09214911727655116,0.049858292037066695,0.0447744272216676,0.04203620477307042,0.101898820676575,0.06592662072091704,0.04300826778086367,0.06622734358042941,0.06319209255068745,0.08205646469378135,0.11635761181746918,0.046932758714978526,0.11699672266662557,0.1046840123916174,0.034712621931999144,0.0923003659390439,0.0786625341348501,0.06529461563296307,0.10196786040058761,0.058972934238081184,0.061545304046968646,0.16207197105282709,0.08164015769241792,0.0425728714202671,0.06951086577718789,0.03156181424569361,0.04167278193541326,0.03767700572709007,0.03843732798480412,0.04879316773481168,0.03884108890742136,0.06650953820452706,0.044074987262386865,0.04111108897221969,0.09105046094436355,0.04230806392713629,0.052664365903979535,0.04960678945841617,0.056017270810006986,0.0399951008821792,0.03808047702375526,0.03731891659142978,0.07470840271244872,0.03772853352601025,0.0353450443439988,0.16539414394386345,0.10288898931832637,0.024786719713135612,0.03658174873389303,0.03477722263272037
+258,0.285377090740063,0.11159493294730578,0.369250034983712,0.17480936533352273,0.29897584724515314,0.11554588750521007,0.2953447918433136,0.18605597947175975,0.13952243315531868,0.21991126135532965,0.2096308801765394,0.06520003271797827,0.28115445672358785,0.18868626441562633,0.17488404595041107,0.2945246361795374,0.16620703925845096,0.1942747834256682,0.20608569846643288,0.18160449232548292,0.23040225482177654,0.2300978096186324,0.2005826657985545,0.18719017501961321,0.3142508383031504,0.3381259158108068,0.24234286285859932,0.2557959368445725,0.08544870085216419,0.08537147887518146,0.08539470823236318,0.22414102762666874,0.09847385152335704,0.19059898756709456,0.12929714982017756,0.0576032365852776,0.058977073198709144,0.18365090706492915,0.2644725882446731,0.10507077649153747,0.18486883662346734,0.2209391570700926,0.12521819126662256,0.26110831670146073,0.23472541849427436,0.05329755875006434,0.07144356577589721,0.09840595964488363,0.06274579648145809,0.19031958379316827,0.22204693388846777,0.30878929266882565,0.2647378942868116,0.2461597363733787,0.06619643482755852,0.2621205794015668,0.11671779179049126,0.07912994592989736,0.20375322949242838,0.12978545883496104,0.11619578916943007,0.15563333916265987,0.19654331180437165,0.15910185435326513,0.07518273549631675,0.106515861727932,0.2739412155427462,0.13449351449377644,0.1266925702044481,0.22483605800430545,0.15828788597942342,0.1405009851354714,0.06848296887175423,0.15952475561527932,0.2215292106245219,0.13844147770415532,0.07264395997347925,0.1659312666391836,0.08824033479529453,0.16493573433368638,0.22639928477938337,0.19697455517996026,0.13502566610509945,0.15533485761743235,0.15576234171028444,0.1571754675358284,0.06353268366245511,0.06543454209621327,0.28058187403552787,0.06217897812263805,0.07647959534936195,0.22883256561990373,0.19751021063149982,0.13877616676708696,0.15853922943011675,0.12411533681505588,0.11449342300068707,0.11481758457567977,0.1182589622424448,0.15989748881541535,0.08085120829636624,0.15874952416146115,0.16704258112706133,0.0748285226484901,0.10209525927188767,0.09230858956620462,0.1180486788342996,0.09332494144180488,0.13237460822579258,0.11798245975610006,0.15963932989600538,0.11719360786513511,0.09404514889368176,0.09375614239125728,0.11026542896704436,0.21236052984039966,0.13857806856415975,0.10663141846268498,0.16704201293433088,0.09511409383602834,0.1549855159821434,0.20803869775167982,0.24097892917009225,0.23431249231306908,0.1935107097920506,0.26204016213497294,0.11064782082899292,0.14922382903296472,0.09585674892511037,0.10898154152895995,0.12103812714534566,0.07027877275013548,0.22538754047095058,0.12947100193505418,0.11969741784486918,0.130404157131341,0.274139796168049,0.15764271345457875,0.062434482418944,0.1179981846518859,0.10573718787648588,0.0571721368849818,0.19777895003663085,0.0571408554958476,0.06790291070427837,0.13904711691372895,0.07175938406201501,0.0503451377032073,0.05573341119968107,2.08250058582033e-09,0.10238783220528408,0.09176033616043844,0.1233412831153903,0.27080737050033815,0.1193049949293103,0.20769404544684955,0.14308464490155431,0.1722353711932318,0.06553778928994879,0.1639431453864248,0.07736726843924817,0.05125438894889954,0.06727090454139109,0.0640835908529683,0.16520824007542867,0.16384351212870757,0.1976807995102079,0.1373156113579046,0.09850872869051087,0.0581077833634241,0.10155493184861883,0.08176212955635409,0.09091597271245523,0.11996070982944906,0.10235143797503135,0.062321414183688466,0.10066828930286562,0.09685706340169228,0.17405537807134672,0.055140233810003006,0.13570433403169305,0.08356154434427325,0.07540687422492315,0.13086439388162446,0.14097850856189198,0.06660338858439838,0.22104366925915528,0.08087142421801967,0.20940831260844425,0.13516614264646887,0.18029949410530346,0.07045193731924221,0.1215141077550489,0.13978759813787014,0.07164474745302185,0.10432937270807913,0.0663671337468533,0.05725958470189259,0.05755963790067125,0.1025518705722816,0.08292844495733039,0.05588122187847864,0.06923071000274214,0.05678235561225468,0.08871672331316206,0.11535784277388339,0.052146711653485354,0.11913617195059398,0.10147951366560208,0.055048280688037896,0.08971933509414504,0.08820166089129197,0.0724183722924679,0.10660861618636648,0.07538976843305348,0.06992642135456334,0.15392731021113654,0.0894693362890704,0.05897869860344393,0.08180837631950308,0.05571744980458661,0.054835264629133455,0.050753517467538006,0.05563138048594233,0.05962145754763499,0.05219561552535822,0.07492762176318372,0.06045675343705173,0.0637532139842298,0.0975830462330063,0.058167196419706385,0.068274942974959,0.06717956430865388,0.055814598845757984,0.05699600773655909,0.05753805834294956,0.055707308941179534,0.08841339309640688,0.056004478324708416,0.05489257752082445,0.16488878732525397,0.10478369252213851,0.0564087552007092,0.05847202008791455,0.05272161999480179
+20,0.27985114317922505,0.13334492611374474,0.3554785482465885,0.17900420826297447,0.28824613823522166,0.12592258818257862,0.2960974402238832,0.1966906865264862,0.1382602779598685,0.23004537749461018,0.2189001068445147,0.1177460328945254,0.28542351893522705,0.18771973652452612,0.1808187930574791,0.2938684400647425,0.18377049053780475,0.19810273778852083,0.2183161836025977,0.17826684121180691,0.24285984374781297,0.22925330452814757,0.2149877794216505,0.19510064793633985,0.30791417570651614,0.34070203097198964,0.24964884855599687,0.22777074652015009,0.12692145031314095,0.12817882978717907,0.12370249195520133,0.23728664632441734,0.13407410296522895,0.20627771685862045,0.15168840343794232,0.11144631686865494,0.11255630934160625,0.19880748619159283,0.2656907747506977,0.13612616782583373,0.1941049917840173,0.22471600571912606,0.15356178781979682,0.27573601517924745,0.22140789589259874,0.11034640149086083,0.11790187347238171,0.12286825072814729,0.11485826737129363,0.1750455749822436,0.22318326861948962,0.3191049836212374,0.27852320626441557,0.2609369613302701,0.11344571576301771,0.25778077755372525,0.13627364667123584,0.1265660114675479,0.21337706822811983,0.15586389773595663,0.1428845984740297,0.18075927866838615,0.19767515451369608,0.17161297068597517,0.11280309775590791,0.13544506884810553,0.27225747742378165,0.15564506315895818,0.15478986423706895,0.2335769087135176,0.17967705116905425,0.16244091321933135,0.1175473794082765,0.1704044607866262,0.22810204728606384,0.15555129955746494,0.12272293783590867,0.18288639963229117,0.11716214781293512,0.1600928343098878,0.2240260242757125,0.21658524637780943,0.16474044510292704,0.18101242472762674,0.18297016434397773,0.1846604987070823,0.11233809567768752,0.09932378525080172,0.28007747506851055,0.11491161172064566,0.11865885897563937,0.24176696250477922,0.21436714535193546,0.1394312703110073,0.15640768566423308,0.14001995391773037,0.14598544754796308,0.1419116069121058,0.14249642828699643,0.16667725253992377,0.12454109327614347,0.16313809350025407,0.18464819394660373,0.10530955526829627,0.1302146545489452,0.12839598779451925,0.13987217470738403,0.1334077960756059,0.16249621212109858,0.13602777311112993,0.17416185895665354,0.1439227753403358,0.13777146263407722,0.12600663287627975,0.1448683695595088,0.23322922480709432,0.1679541921327481,0.1253720480855071,0.16944548904830625,0.11374890984384214,0.15999510682114274,0.21503077036923568,0.2416720492992438,0.2359737674249597,0.2004945434857859,0.2598296724878714,0.13959425187953226,0.17050828798445614,0.1295520493373371,0.1388375836745146,0.14787707836846437,0.11174271704806818,0.2337526762707744,0.13875165313116375,0.1548294728799556,0.14940500508876092,0.2737275635452103,0.17288719160167296,0.11692034632952066,0.15079353957309585,0.13311913849984194,0.11589703097316466,0.20450669362468332,0.11608897966188256,0.11134439386140206,0.1630188587520556,0.1158824581799866,0.11121125530405981,0.11170984952604877,0.10238783220528408,2.634178031930877e-09,0.135102347901696,0.14961840171375793,0.2712331431251692,0.12963068532585817,0.20297162154367576,0.1510462142706019,0.17995988992339026,0.11114600249135567,0.18212368934193784,0.11983445288945106,0.10624246185475575,0.11613966972020517,0.11292658648701658,0.19052345679552662,0.19076881996666495,0.21740093103060312,0.1513065244391652,0.13598356389480828,0.11522898194818398,0.1342047672999845,0.11635000451542235,0.12568029225511787,0.1484529952477471,0.13615615053226798,0.11589222189770443,0.1372794388804321,0.13279225176351758,0.1807022158861343,0.11285933510463428,0.1636059785517533,0.12359564317609842,0.10939743631960869,0.15859888951770326,0.1690380664867633,0.11028664685355123,0.23267938156491122,0.12298247213168298,0.21189122195610582,0.13573325068786424,0.2021905261772101,0.12331851755455632,0.13996077642747656,0.1674732762827332,0.12017383939841725,0.13677639784514795,0.11711119841066306,0.10994143656175773,0.11226754546514871,0.1302150216321109,0.12447899498002372,0.10878054226836666,0.12022880430138942,0.107801740810214,0.11742948783143785,0.1353893695071713,0.11051343914163557,0.14646528281912255,0.12789286934856278,0.11493870446175063,0.12446063378453869,0.1286881775988323,0.11987853099692727,0.14279736106477847,0.11688499000239583,0.11491770320078638,0.1727991874721028,0.12984654398073522,0.11667269737589164,0.12439181885534582,0.11249562559136782,0.11312899241827426,0.1084624675508539,0.1148225461327626,0.1148313149601978,0.11272629304882271,0.12394033060853908,0.11703151249310086,0.11447379148386246,0.13690360674922147,0.11312643776484912,0.1152272595956057,0.11857371264083644,0.10706401751853942,0.11301804818447252,0.11441331582354662,0.11352318148219384,0.12956718770684159,0.11492078638697094,0.11346126712554595,0.17684568282661928,0.14225540381213453,0.11125972567354608,0.11623190435275618,0.11494128600921233
+1,0.2925302517910179,0.12554608920822216,0.3675591935388549,0.18618076699040068,0.29972622970259777,0.12569539188385545,0.2992537048774584,0.18828035256885883,0.16199989062764042,0.22177979305588105,0.2063467641103032,0.08874314590089415,0.2895141186122272,0.19367745253726815,0.1862351699608401,0.3058991656531706,0.1426976750191022,0.20296724753779286,0.21726979641273803,0.19605359697591082,0.24233315727771668,0.2396562969358416,0.1763157214971814,0.19243824012251573,0.3047275824752996,0.3310991257329713,0.2508955520874405,0.2653903594329861,0.09343870501931956,0.09907554665048784,0.1031737684148453,0.22605444730598542,0.11931548471381788,0.19431172979640887,0.14315696702528277,0.07949686843167418,0.0847491056448721,0.18535533702353404,0.25176435554216925,0.11276286478949228,0.19452861371130822,0.2200070332330629,0.11791926473506027,0.26373555666787557,0.23748341003204648,0.08064796037687764,0.09452038189405554,0.11600429002068759,0.09070552152362456,0.19977116727448727,0.22736631681525907,0.30913814497514963,0.2656052982098096,0.24907879327400761,0.09024988796453969,0.26704629061697643,0.13153664480254537,0.09574787368368928,0.20132046871260692,0.14213685282030553,0.1286761883388361,0.16356646252031276,0.21331551923668807,0.16833600015338737,0.09239239273572702,0.12542926508616084,0.27240891977397497,0.151311811447336,0.1371212004187555,0.23213043245639925,0.16244867824684,0.1505257596230795,0.09014044476565272,0.1694789411311952,0.2229243789347597,0.15746189508423958,0.09380116677189479,0.1697275955151649,0.11331177687809346,0.17882863190373674,0.2355076532998001,0.20255152704001023,0.1389007900966148,0.15979007962646133,0.1623898174879115,0.16532868674084344,0.08845061842826468,0.10103990373776535,0.27620961674592776,0.08509762414108561,0.09485772955364591,0.2392890506803232,0.18013403859363564,0.16590380962965795,0.18158787872966026,0.1409322652914235,0.11574000613163932,0.12966854316635837,0.12353526811857496,0.1713401041175479,0.09613615255386072,0.16814594546972614,0.1579962626254948,0.09082998901419513,0.12045637676146792,0.10422229660889407,0.13152005192587424,0.08913501108898896,0.14675767189973407,0.11277973432758547,0.15407856071765708,0.14163214210607217,0.07920084842652601,0.10999420958091054,0.11715603228294483,0.21877464834209392,0.14699914594765226,0.12130865861299372,0.1763437063712873,0.11269580721938821,0.1659546701159575,0.21316528008409108,0.2465727782174328,0.24155729223668057,0.20111663127401994,0.2661772392551471,0.09950959228641862,0.16140465286506492,0.11617319940967862,0.12016852824974408,0.13896035334868387,0.09713490049709778,0.2372137739290013,0.14777161906401248,0.1500247271603617,0.142308925062351,0.28020179757431696,0.16374053212697637,0.08951516417570067,0.13810974714140065,0.12943612740685817,0.0858607423113556,0.2081894295268487,0.08675695271325487,0.0964857370799882,0.15470230663777584,0.09531096912705965,0.07796077827967834,0.08596534423225792,0.09176033616043844,0.135102347901696,0.0,0.10908577111574196,0.28129539510768725,0.13656194634190694,0.21821997317959133,0.15512887569761769,0.18102533991789588,0.08639153307241347,0.17934512004323303,0.10960168651955524,0.08630445564195698,0.09265888848191085,0.09341338763892765,0.13158758356267508,0.1309258347830704,0.16205902918350387,0.11713420919288287,0.08197078032190529,0.08142816059964343,0.11582098168617304,0.09662872438377323,0.11455700008735448,0.1448436038810387,0.12021427556295994,0.08559301807618198,0.10409441095884411,0.12295736068097594,0.17880863862173002,0.0850014920198787,0.150208201395195,0.10778896364434722,0.09935737288614732,0.14578722424644008,0.1540364694532727,0.08721386525320558,0.22642634833643138,0.10231922553792216,0.21792632543906815,0.15888286257539705,0.1865408223533695,0.10252234343167844,0.11226643259420106,0.1522192349159885,0.0923824224658864,0.11913419967691172,0.0885541682423942,0.08722801352885452,0.08413123544204533,0.12540890078705427,0.09602733940638315,0.08335930835272508,0.09371440621799003,0.09231858952250947,0.11095165482608357,0.13169391901947247,0.09042471735897535,0.13572396474839238,0.12452844567529571,0.08117138002995886,0.1128271142597445,0.103886698033618,0.09446823217710801,0.08603520895272385,0.09642500406099319,0.09336146026509723,0.15792277526422221,0.1080940532515644,0.08368367356588959,0.10220743720024128,0.08117844053312888,0.08566248636907227,0.08153198028948389,0.08255300361448455,0.08596853005267723,0.08039653211900526,0.09275965243997486,0.08448752042618869,0.08667172963553238,0.11701412970666095,0.08567286463672476,0.0893388416031355,0.09324174150119463,0.09057004921926018,0.08349400861801992,0.08790672137574498,0.08115515392420977,0.1062769083173706,0.08111639156773627,0.08119498393419053,0.18061862374003376,0.12413842479506954,0.08207706538622099,0.08394722611824143,0.08224273256948324
+293,0.3038470411165486,0.150679333349649,0.3694154115208829,0.19443509673306103,0.3088068117825556,0.13572787365092837,0.29264797087260563,0.19992534544067353,0.17093926376163412,0.23134448186375506,0.19572879321365577,0.1261470935341056,0.2946204241369244,0.21904102585776566,0.20641129671821618,0.30927146600701333,0.12667463835525283,0.2186407488744674,0.23062422425480722,0.2099431798625765,0.24115661116286966,0.25189861314130807,0.15387968966326301,0.20245275827374762,0.31331785815573066,0.34002488761082994,0.2402944598611179,0.258601930512206,0.1312501706737774,0.135804448916212,0.13531728219307163,0.22367514247258527,0.1409991649074139,0.20432520688356057,0.1687878151682084,0.11934558429238548,0.1268307309965157,0.18877168243620063,0.223020251280166,0.14206827969149252,0.19723208652921573,0.2120759760473139,0.13340390953890885,0.2781126107796162,0.22927085826565877,0.11786128552562622,0.13196806804960165,0.14877612386198627,0.13084523079636215,0.20368598229108517,0.2419588686755185,0.3212626545000679,0.27770584659449615,0.2658611113821925,0.12987305095949497,0.2780195402266587,0.1516076574448467,0.1359872727238306,0.2164498991866563,0.1595726642450313,0.15125402228546725,0.18121419917530918,0.2066310775850483,0.17999276277287496,0.11903853594027791,0.14265165869598234,0.267170055093179,0.17131786260300003,0.16405474678289084,0.22978768152819407,0.18053618119849585,0.17347916636365915,0.1244098794567434,0.19453376388579452,0.21903054041209824,0.17063832080088692,0.13141222904414984,0.1817533407317848,0.14436760184460168,0.18985207023016615,0.23432156897298725,0.22106468560418086,0.16661124722141327,0.18500563155153352,0.18491051636987282,0.1877002102554938,0.12484648229102437,0.12868462364429523,0.2411853199459912,0.12725233999005045,0.11872706996731365,0.2492478583048204,0.15506451129886337,0.1855865377494198,0.18433216432427138,0.1587224238206185,0.14602223659899158,0.13387770245969982,0.1265978710575338,0.1775632439631187,0.1255326011893194,0.18396538966802956,0.14081259433266768,0.12551577752550502,0.14488235395232085,0.14283619563243793,0.1617118742534254,0.144586433212834,0.16498366297494893,0.15249160258215305,0.17942278594834823,0.15566350138380228,0.13791826050949715,0.1380077129271778,0.1480248065947983,0.23602809055472837,0.1683363690455104,0.1439226469491577,0.17602038428758335,0.12478883422646923,0.18074996065237833,0.23351958752997057,0.2634740305145685,0.25752478471354634,0.21980520896341021,0.2781269129271792,0.15461521953639898,0.18337752140004862,0.13704980639241282,0.13987839510247774,0.15872831643973867,0.1303487589625163,0.245377569837071,0.16069991652392018,0.15860756760872533,0.15967962076222078,0.29329203302411133,0.1798759814177468,0.1256784664967873,0.15195362051573744,0.14280170974600617,0.12470570212356376,0.22532191178635733,0.11741893438607248,0.1197767486569886,0.1770670756542503,0.13057060454113367,0.12285944865936232,0.12537518162944167,0.1233412831153903,0.14961840171375793,0.10908577111574196,0.0,0.28176966945791526,0.13639327541574744,0.2093021877233344,0.17459204594962455,0.17974270064844972,0.12025101873549585,0.19706033338915477,0.11574473346837022,0.1238276288767924,0.12969777414149677,0.12998414705695258,0.11339161894340907,0.1198887909552326,0.13841506292421052,0.10606245627973566,0.09613350808017229,0.1248898702109786,0.15118999673062078,0.1294448153914673,0.11619574454512908,0.1607706786815753,0.1454454592690008,0.1266621790481362,0.1361943833646877,0.1366708262472019,0.19228263590778516,0.11719368874532154,0.1638425430239099,0.13256686437689438,0.13118165437415205,0.15925497375836614,0.16616988359587584,0.12182057861734648,0.2317180807008103,0.13128283373350272,0.2276776729742834,0.17450452337138367,0.20536980110793113,0.1383362305729181,0.1117269558447675,0.1698926950316729,0.13157553697721636,0.151894939533955,0.12863515388672675,0.11609948563449154,0.12549841216209234,0.1388090659121285,0.13264539718869028,0.12303881615729986,0.128806479146316,0.12254979896681344,0.13483734672959116,0.14713183194858093,0.1193617466399904,0.15213432133210963,0.14397206830763268,0.12347693947371917,0.14337568349597754,0.14117936919259602,0.13309292616994867,0.09087527662672422,0.13310512208578582,0.12534905462613874,0.153296273828131,0.13696382381162872,0.12368126050956539,0.13837702898302134,0.1239612724157861,0.12437677888245238,0.1194016312755639,0.12199390110520551,0.12628174665299466,0.12311729308250534,0.12922484417649271,0.12581095331894707,0.1271796870179061,0.13944657903983243,0.11955345735576464,0.1301015862253493,0.13003809862284538,0.12058717197118737,0.12411841586181695,0.1253122694253657,0.1235573691490212,0.13236140754187042,0.12366128022888927,0.12313715391065862,0.19054994156310875,0.15266056755957216,0.12361738047205743,0.12377838431716383,0.12374889036963821
+118,0.36189596555001474,0.25514021811769744,0.3706492944470335,0.2222450007539909,0.2853182125184677,0.24064920212824106,0.29313892123428337,0.2590194808566155,0.2432678749246489,0.2899886027863652,0.3126094028910949,0.27454860536557585,0.1403685545393449,0.28500355928088394,0.2808697806289779,0.16511783540083005,0.269054608313044,0.2742460179667575,0.17288653765442863,0.24415973749205336,0.29428164019032454,0.2863879416513809,0.30252681277729954,0.2420814662725631,0.28475928844845333,0.3728227876836002,0.26209353245399064,0.2717923552992115,0.2729567682262657,0.27383740393587913,0.2753370694025915,0.2936077644878839,0.25760744217655823,0.28931314742801556,0.2982926195737173,0.26785688249997675,0.2815177846093979,0.2775511480584724,0.32805637136072363,0.2509690638833735,0.21482592026802488,0.28103378284438624,0.26554318557320533,0.34497054602616967,0.24376124383004366,0.27725864746504625,0.28452060384346867,0.28581173069466076,0.2814581906457121,0.2927203733111619,0.25106911260795073,0.3792369045814796,0.34631879353280004,0.34041056010655535,0.2797636984129672,0.3437800014943239,0.2584141223834161,0.28013852066048034,0.26281860969135146,0.27397469454690454,0.266833252786246,0.2943281014603355,0.27178461994364644,0.25269096579521555,0.25881287612895926,0.23920975709451642,0.303062214389556,0.27812895379640845,0.28018028811063234,0.283485847018319,0.28079637085950726,0.2695960481707436,0.28246660246273725,0.30783879286824695,0.2534460320478094,0.26022840106304607,0.28422106498380173,0.25852401510948264,0.2698314842683507,0.29448819139813137,0.1822859196183145,0.32098193864705127,0.29698494563449274,0.295194391980168,0.3028571939637416,0.30064496383798495,0.2794670937132431,0.2742506071278224,0.3309116384746857,0.2820692043222259,0.2423145954569973,0.16770627143844394,0.28611877024121296,0.28142532024984096,0.20654250700316376,0.2365338287199686,0.27744376825289274,0.27026930632610197,0.2560183322626952,0.2535280211836245,0.271831453690543,0.25000860180618534,0.2586033796432493,0.26580533025934533,0.25954099064750374,0.2726160508546489,0.2875734282023614,0.28577780520247537,0.290212307138536,0.27115263077098045,0.2384644584628811,0.24600158498303304,0.27858377971798765,0.27680950519292247,0.2754463449895915,0.33236010554033774,0.2963245393098242,0.27406048242101233,0.23070045285468668,0.26131931127401414,0.25304095895652057,0.3215834340136165,0.33584285495130795,0.33690960783835056,0.2841633748528596,0.3519819904884628,0.24718826460059556,0.2275348833489781,0.2761370191140576,0.2807950384020173,0.28446683611696644,0.26013140041917804,0.20641760715830035,0.25526073741089667,0.27504363278982463,0.2953952355171103,0.35930553374078794,0.2823424834872694,0.2812174583031067,0.28673013123933955,0.26510934158741545,0.27816312811522625,0.3135754186931685,0.2775791012618766,0.26291875072242854,0.22144052492510383,0.2690217582423706,0.2790364707945768,0.2815000606759312,0.2708073705003382,0.2712331431251692,0.28129539510768725,0.28176966945791526,0.0,0.24210686018383265,0.27674526032976227,0.2929627279707421,0.24012071837702667,0.268511578321424,0.21227701390741563,0.27397207938366086,0.27794881420533624,0.2752873985192046,0.2759653138879138,0.3083275529693563,0.3065866705176612,0.3225366063809533,0.2914466184303148,0.2830952687524668,0.27696769041113517,0.2865040420218693,0.2688704252900598,0.2641025016600802,0.24383555302003543,0.25504159443620106,0.28253986896314415,0.26654830330035184,0.2670308791586907,0.2808838006841656,0.27371174699431505,0.2764779458688307,0.27278521963768415,0.2806604244900555,0.28140459802231715,0.26666850394006736,0.2653228211271087,0.2663856466491578,0.27212868902628784,0.28414496452295585,0.27295073486301297,0.30092740797536544,0.28256527330242703,0.27437570129140854,0.27776367363252397,0.28029876410584675,0.29210399174258816,0.28205168916034595,0.27613116783669495,0.2765186582216578,0.26252982828125576,0.2806955547147088,0.27711939061132296,0.2658739825267285,0.26661928332396484,0.27107989528690174,0.258383849081151,0.28001403691782145,0.2662493702167195,0.24670083978089588,0.28134825759128373,0.2798109392272521,0.28747498589909787,0.2821709097471268,0.2863478013942842,0.2783671281002327,0.2643354212491247,0.2578228502305599,0.28901167246635656,0.28112673354228807,0.27795591263682967,0.2796899394551736,0.2810806683264608,0.273866483186338,0.28149808856270087,0.2814871906349388,0.28035092647791426,0.2729221178544687,0.28026221795012407,0.28113692033951615,0.287854384333654,0.2813166987087575,0.28237348803225004,0.28191247053873336,0.2718078662106718,0.2793221174784423,0.28080499668878883,0.28139591003685466,0.28824628347730014,0.2814602609282731,0.2808191776004772,0.28785433214030615,0.2568802913375044,0.2805011699826364,0.28051214278232217,0.28144843800187896
+140,0.3006029667230551,0.14329246403090307,0.3580650450222348,0.1748131543684437,0.27906767099191215,0.12829014297865507,0.2689825577658123,0.18347512032311988,0.13919214878199015,0.21164804388267558,0.21165260793040405,0.12384655495223999,0.26262247281512935,0.20627012689875157,0.1930376540060346,0.2770452541390131,0.16426630130363087,0.2072261847124559,0.2096599702656624,0.18615339375991685,0.19736427599217757,0.23351137911648745,0.1859119016172984,0.18032128869091035,0.2922771097180565,0.33114891546151626,0.21007153780785376,0.2240317444718752,0.13465795993528304,0.1351790336748222,0.12728371840414807,0.21615971645345944,0.12248533281705436,0.20136327206844376,0.15926801324833217,0.1218404465699596,0.12641680572207348,0.1727872396186081,0.24256399391626657,0.1333258612223109,0.1533713118205254,0.19656399748524883,0.14547238253786718,0.2671934358854078,0.19897185604449066,0.12545459281174653,0.13174192143512292,0.14474395488420091,0.1278611676712973,0.19004112370129603,0.21221058334024426,0.3111574689240817,0.2681010914727042,0.2562362918539657,0.13134950257627834,0.274090555739724,0.14140301627954005,0.13129965591752135,0.20817449907405303,0.15587082665529306,0.13889475119010322,0.17066428503221648,0.14766798212800486,0.1530024735199485,0.11902425487570226,0.12828488510175473,0.2463850811638214,0.16843651030000897,0.16536184683783337,0.19447258083355168,0.17530653988402253,0.16979253896842883,0.13358904722659948,0.19065186143782376,0.2046511647306256,0.14680270402384665,0.13913606319233673,0.14677203430148053,0.1421765818037275,0.17182228246015915,0.18993627984502934,0.21648716162080958,0.1659618912644658,0.17037099465740455,0.1775691517383342,0.18053553821174317,0.13128885364363813,0.12811080292764404,0.223401653005954,0.1282658075961903,0.11294283984246312,0.22304611797419738,0.1957204433351721,0.17459878005367244,0.15253655866642923,0.12866118369443358,0.1463688940482803,0.13318009824750127,0.11885880220497477,0.1514412293675706,0.12404226011768592,0.1669212872451912,0.14475360134849988,0.12256376793322554,0.13088999814255092,0.11813314399266624,0.15552299523471472,0.14981250112098513,0.16580333993945723,0.1303821127004769,0.16831353524360348,0.11378964235726538,0.13563045642614494,0.1413668785266691,0.14960279993319595,0.22603744732052206,0.16960980278500024,0.12119273187897858,0.15844085627456447,0.09816352076001374,0.15526048232898262,0.23391460778211462,0.26043118166732443,0.25825506539151505,0.2158105424580639,0.279919335085732,0.1417961801108851,0.16095449105953188,0.1278715558415064,0.13009428398119405,0.15336990503632147,0.11418610103319751,0.20740230532034068,0.1293706304215719,0.11993593015167554,0.17021251334017676,0.2913690691373153,0.18246687628931735,0.1345207024015344,0.15578384585035657,0.12856679613559124,0.12735910703788783,0.2224611747095228,0.12405905152122591,0.11283218440174711,0.152523149989409,0.12357203744600656,0.12742834717952356,0.12786456347023606,0.1193049949293103,0.12963068532585817,0.13656194634190694,0.13639327541574744,0.24210686018383265,2.634178031930877e-09,0.16065556515510684,0.1622355946699999,0.13920825990772606,0.12281566593710583,0.16363503550963004,0.11804801704608754,0.12675783757582273,0.13597822539219837,0.13352833401627973,0.17930401346074074,0.17777250805194197,0.2023978450913504,0.14443735235027202,0.1334683966358133,0.13184755026030184,0.15116152219214263,0.1296732522700544,0.1226792053831587,0.1273788910349572,0.12867023185054138,0.13497168670780177,0.13025386274890036,0.11183031614550337,0.18046526182274109,0.11966721566453731,0.14739413178787297,0.11719620040965359,0.13023088736334634,0.14555326784956002,0.14306969978943296,0.11583592950786449,0.20922839212850988,0.13505501996334773,0.2160696652269256,0.15647644704302738,0.19963329443968292,0.12934911972813254,0.13307671374670318,0.15292440063141488,0.1339820113574505,0.15416764507191547,0.13318491447882794,0.12103073054529316,0.12997354848217002,0.12633325312534177,0.13646585057492688,0.1291338946469616,0.12151592971593854,0.10526148968204543,0.12095780078783336,0.12424941819603022,0.12375000010952078,0.1438005996239494,0.12278695097478594,0.1318364649566773,0.14158799264760508,0.14449982810650996,0.13365006974997637,0.13644201747665907,0.12914350653672818,0.11961748811423706,0.1279189942329753,0.14545880369465164,0.13269836446609348,0.13116920283168446,0.12983435236421084,0.13079110425922377,0.12461426327609741,0.13127391336097993,0.13186842031222154,0.12983416743629417,0.12583689423527594,0.1311336853893508,0.1317935600534057,0.14916763507332942,0.12861812500022957,0.13362534470420578,0.13077791017702511,0.11506851678284127,0.12968835470261258,0.12925947061119497,0.1325622540847925,0.147011222002269,0.13249211963770727,0.13151599875099115,0.160220079679054,0.13750775921710848,0.12870618144744428,0.13064616994846023,0.13064568043538646
+303,0.34212853718446556,0.21161662290434025,0.3758185723945859,0.22089991935489306,0.2974917014430435,0.17183443811829854,0.2835773030746563,0.23030346776333588,0.1992521743643814,0.2476282612480058,0.2656906062101272,0.20721549047679,0.3053431423715278,0.2578532495720232,0.25054664344003874,0.3189878350332387,0.22760652543698287,0.2564983777514651,0.26783510557754303,0.22063354947450756,0.22712478703186093,0.2746546986574034,0.24287282643101465,0.20969593654647203,0.3033846379633172,0.34796306839251917,0.2242526610954728,0.22464210126406237,0.20584366592944167,0.21488517134499663,0.20797733222230086,0.25138374736362096,0.1988847025338991,0.24206549854637852,0.23873590778316828,0.20329255352232925,0.21118737700631598,0.1909184812409483,0.2730038843846113,0.19417551909744063,0.21339989531071504,0.22092137882266613,0.21295767688271877,0.30282175685812723,0.2191150542283393,0.2056557343086895,0.2185193821572826,0.21703338350081855,0.21035449127982347,0.21360976718149507,0.26929361434951443,0.33892246709926244,0.306707069861679,0.29607915940438584,0.21482393617714388,0.3177343356459376,0.20764684341182615,0.21921999864990227,0.23409942777651124,0.22210188416507856,0.2150482616253584,0.22816589908836843,0.17648134902859255,0.2038882537809085,0.1975008372419094,0.19187835892303534,0.22344759895310914,0.22317413591807997,0.2233491123098352,0.18848113246477158,0.23254734590790854,0.2210176446870351,0.2130654495005461,0.25644057927168007,0.239018929615496,0.1974955644245918,0.22030080108653308,0.18555316257776794,0.21457829127994615,0.20713009010819528,0.21254468299329798,0.2617628576243375,0.22322292281717124,0.23175773765880253,0.2378405698857147,0.24095844639457822,0.21277050740642295,0.2100903357794282,0.24724200172911098,0.21435403409169262,0.2015692736781793,0.2833372219335504,0.2538559857352404,0.23936347960031795,0.21410243830080042,0.18837786851077712,0.2086240942647284,0.1954183119764774,0.18054106534026518,0.2227274626759877,0.20565434107351577,0.21586179265996208,0.19650545411867204,0.18918955137281934,0.20453974794154234,0.19894092480212608,0.22370718780922721,0.22393628487516373,0.2366872626431292,0.1715640610262555,0.21951503712842127,0.16748192133006262,0.22057408378861676,0.213694079035268,0.21657929323655717,0.2705176985571298,0.2285520860941508,0.19847874290054746,0.18189729722525655,0.1771033056817585,0.21978317590040952,0.28950001565241845,0.30949494927512444,0.30672834670671995,0.270176833072359,0.3227325747543754,0.22678217356799932,0.2402557848522388,0.18793853179550915,0.20823618738312047,0.21758454488332396,0.20199448000522663,0.26940738325478125,0.18709625448345538,0.1821588872959027,0.2372231657896746,0.335519585175256,0.2373661533157211,0.21120182988845562,0.2221672305065876,0.1986145907056617,0.21518512192546074,0.2764713774739982,0.21233919919238237,0.20080285617616375,0.23062621244335066,0.21405429470904563,0.21125170059167936,0.20972495983052894,0.20769404544684952,0.20297162154367576,0.21821997317959133,0.2093021877233344,0.27674526032976227,0.16065556515510684,0.0,0.21330971378873903,0.16929716359426647,0.20378381671319715,0.23781955452646203,0.1951727007937472,0.20818006319333776,0.21179826320371611,0.20848225642825174,0.2498477320157547,0.2498510142490905,0.266426280867717,0.23250860886873223,0.2179490452476702,0.2138168468251324,0.22465775540762084,0.20422696128470766,0.1909075967704016,0.19473273215821477,0.21243421931777617,0.21770823823555452,0.20888736009102157,0.20045120616382178,0.23312418199741555,0.20172358557193226,0.21299390431191584,0.1890560446290045,0.20374255328766797,0.20731556846255758,0.20207801768944025,0.19882945525775395,0.2406243823064742,0.21089455797289672,0.26341800970125184,0.21985526551229198,0.2459738926176072,0.21218619445496817,0.19918522730736815,0.21728390856992688,0.21569380593312923,0.22776007449916627,0.21531049916012868,0.2027129192197116,0.21382860754309302,0.1926196972789195,0.21305771594906836,0.2112710445183764,0.19906832149966422,0.19545046532071192,0.185049028712272,0.16402028513733063,0.21212129669618607,0.21013022642761794,0.19510692978312272,0.21538044114868296,0.21889983341147132,0.2243555962246986,0.21471366165950845,0.22012558876729524,0.21710803236636278,0.1879210775636406,0.18000722726547466,0.22156998496556712,0.21684866889317778,0.21838871843730598,0.2126323038947275,0.21145225750932858,0.20684335252420724,0.21515062759225492,0.2146302890025383,0.2147006776110382,0.21338552617132403,0.21692559550877968,0.2137937693709637,0.2286578337442058,0.21156252494249914,0.21490650568599567,0.21444433601729915,0.20274436228981643,0.2131967465341727,0.21327919536803805,0.21587489233466223,0.21970569010165994,0.2158133464753725,0.21475611072855652,0.18617831784122532,0.2152342875075792,0.21014630276052576,0.21532994610865175,0.2155307508799882
+208,0.3119400530541972,0.15844487978305552,0.3850361210770166,0.1919226458940022,0.32108742582905486,0.1665910999723391,0.30866623353750583,0.21344567851509622,0.19120961711580872,0.2495303456851591,0.24543490457650094,0.13955222407600779,0.3060149222680404,0.23002261179534794,0.20479002156211426,0.32149775367055106,0.20462748543626358,0.22957945101097355,0.24392797663116042,0.2050327534076739,0.26629858812222484,0.26044166131595287,0.2289086593373427,0.19476522029973034,0.3264333410772428,0.35926400780798373,0.26147465539721115,0.23312807633600896,0.14766408355881064,0.15113350351891092,0.14199979827691436,0.24970568267126306,0.15697301364053792,0.22530933697763916,0.1825061124313636,0.13680169947510532,0.14106210423049917,0.21722379429545063,0.29257907919728116,0.15306177020919964,0.20636665767397228,0.24297849004101127,0.1732836138875859,0.28635268409907005,0.2477645628850047,0.13646978542669477,0.14740379215695376,0.10051199877755476,0.12870756825383758,0.12955880521675453,0.25344464622330626,0.330287697199771,0.28538655706117994,0.27365601356032826,0.14435551772096558,0.288926310518792,0.16441137991253285,0.1422438787416079,0.22629674460028992,0.17732248680694548,0.15915170478858773,0.1946615711822617,0.21615214394753626,0.14714660345502414,0.12616534470303797,0.15307163515348496,0.282823319651819,0.18508963462610498,0.17712484535377396,0.2539032249373913,0.19962447691296856,0.1826569134561317,0.14486999633762906,0.20538417417918053,0.2418188926694069,0.16101701484432532,0.14635357228853038,0.1996927758579445,0.1440108083353776,0.13671838468490685,0.22692792153722047,0.23154298213610336,0.16747116063909964,0.1932224535078285,0.19314521338364316,0.19832035212650728,0.14354273147727015,0.14136232144681837,0.28806739482765453,0.1412090610029312,0.14256601235049082,0.26074819745954225,0.23698677139624627,0.1943744476211689,0.19866367501336807,0.15463471157656464,0.16886795427347762,0.16630637994878178,0.15971668817673268,0.19309329787487295,0.1474147052242436,0.2030227043731742,0.20041287280993147,0.14604725918203051,0.15558772277834942,0.15846500287890197,0.10005623839958072,0.16211188838006926,0.1784207472282132,0.13530535836111104,0.1928801349103921,0.16921927127111966,0.15240680936242215,0.15950426236485582,0.16502990586082364,0.2465733111925885,0.185752252112121,0.1598328407675417,0.16442501990118932,0.15467552831498887,0.18949149943756327,0.24347247432719274,0.27006021961576726,0.2666804614048324,0.23142766794275854,0.2909711289979242,0.1696697551092013,0.19547613633867392,0.1485584347881859,0.16546774656344188,0.16483775445622245,0.1457586225465278,0.26085241754263444,0.15274715751197362,0.18053460827095635,0.18205478037070472,0.3017828995756935,0.19831605188326443,0.13265488547898954,0.17376894474430507,0.1627756864481697,0.1371201354803464,0.23566468212008881,0.13694884797965962,0.13371189823489102,0.19073980503189772,0.14352461254020274,0.13565594454456167,0.14081241103174794,0.14308464490155431,0.1510462142706019,0.15512887569761769,0.17459204594962455,0.29296272797074213,0.1622355946699999,0.21330971378873903,0.0,0.18810794454626265,0.13997156917359976,0.20913987622824728,0.15313678246099816,0.13655767520000398,0.1424369298978273,0.13981385145239197,0.20652445491518945,0.2057570579967968,0.23221537527354677,0.183484729927083,0.15787241466734186,0.14033790761840284,0.16317148637691342,0.1231908270841866,0.1553345590449494,0.16593882408315733,0.15615609450053322,0.14153091827968642,0.15544675855011958,0.1602925239641481,0.20998431111926458,0.13727005500037406,0.17465023557933465,0.14655629442241733,0.11886943798627136,0.16785884057880857,0.18216256651072235,0.13687523852812214,0.2372932423508998,0.14871793202577183,0.23624443885787583,0.18501563899161272,0.2170523527093629,0.15188605852198292,0.15657222745244231,0.17218286975750255,0.13733173549252742,0.16381494318207393,0.11980565614686599,0.13226334526245534,0.1398420463080342,0.15589934620833573,0.13046032952312822,0.13825840375637807,0.13020180836604198,0.1424608192043063,0.14504448847139317,0.1659190475925908,0.1420566822767587,0.1689361026103382,0.15019595537503852,0.13824894714762684,0.15761744112849058,0.15271752526978258,0.14720507747198494,0.1647162302482127,0.14765632172323384,0.12892958959517375,0.19394781708178896,0.15669401155684426,0.1394406698721911,0.15149904996434524,0.1381779121322423,0.1406311941353311,0.13716052187811856,0.1391725964542312,0.14078827312222508,0.13848788271205498,0.13949432942639697,0.14051434328338888,0.14277516890146,0.15762251607777256,0.14022394315954953,0.12430855857481646,0.14496964512792948,0.14160775382243518,0.13613548017874474,0.14103897310790875,0.138451811159194,0.15450933843792758,0.13872401571900375,0.13849906379718346,0.16863942698715964,0.16626207091442965,0.13823128570973076,0.13974456748287428,0.13919355645320122
+221,0.32075963982878875,0.1790141036168714,0.36241574327615933,0.2032883633952439,0.26579071907545776,0.1617893220862234,0.2716232092416198,0.20052471630721452,0.14781739323552015,0.2205244960790743,0.23385276728357018,0.17079046442666065,0.2735047368280611,0.22213676150379685,0.2188163650258698,0.29735040090645437,0.19442027676642934,0.22040007461793823,0.24017358930919755,0.19399643735285707,0.2165289210041445,0.2460576474261236,0.21543583685540413,0.18326519952206913,0.29198999905772816,0.3282029021599518,0.226000848731095,0.23352617246683255,0.17698798621274023,0.18054444671459055,0.17347438574890797,0.24205307962211903,0.18220603660648163,0.2166143240114578,0.21071764892758818,0.16607983420139877,0.1794768397528005,0.20515256038249885,0.25804471395073453,0.17405439531458478,0.20109822978966704,0.22248694863061247,0.18608602719250095,0.28329350671891873,0.20325460995652064,0.17362801462186,0.18598804667454116,0.1880556267700186,0.18240416129738482,0.20699611525976705,0.2544763373762638,0.3222439660808928,0.2844018681136871,0.27907856293293226,0.17738189717493144,0.30002614001379047,0.16519423798745175,0.18309143121432497,0.21604372129823077,0.19434145494382593,0.17748327451362472,0.20140704432759077,0.18637566273375142,0.1623503336257153,0.16694969635260645,0.16639563141291888,0.26241181297043414,0.19270204261348664,0.19294394766800443,0.20489365290889816,0.2105634951912808,0.19680581711081857,0.1847466533042238,0.22857916258481276,0.19803133009281085,0.1687948611009274,0.18584725840522018,0.15728213419330364,0.17885082267293909,0.19902953154249525,0.1880598001565787,0.2414609270621403,0.2040772721438573,0.20703257612627324,0.2104062968546025,0.2149469998564595,0.18080879408272865,0.174331482303949,0.23169016667944056,0.18142304848079904,0.14807650653432627,0.2535689411168721,0.21953203749287675,0.1996783993356874,0.18919002428832155,0.17898936585287833,0.18653369269351275,0.1781155034203799,0.16438162103149,0.19469959225634403,0.1756056750532909,0.19164271233518781,0.1344249983848049,0.16694989774144262,0.16599122113010822,0.17284031906527983,0.19769606701165673,0.1883374104581111,0.20408897631462197,0.15213068929017642,0.18666541829959662,0.17352972747934592,0.18482090472074109,0.18182253914494037,0.18515181065917685,0.2546161129019603,0.2030108301989297,0.17319140879982067,0.17138391794710642,0.1389974906993803,0.19212061115173124,0.2631167621009272,0.286472896588319,0.2822366843929994,0.24455293865349395,0.30425806700153574,0.1939738698651848,0.2132835028761548,0.1730329876994316,0.18247026177616432,0.1929733509194968,0.17559874093984335,0.2559067189401159,0.17797251893878804,0.16597349927826757,0.21134368422599376,0.3127331163808787,0.214554106696303,0.1804968255660721,0.19725802443025425,0.1601017703818059,0.17713782173813314,0.24981369325791813,0.17854049544176018,0.1669557029722746,0.20670933932782418,0.18156196513746942,0.17655060500125247,0.17915392301801075,0.1722353711932318,0.17995988992339026,0.18102533991789588,0.17974270064844972,0.24012071837702667,0.13920825990772606,0.16929716359426647,0.18810794454626265,3.725290298461914e-09,0.17019105061514497,0.21612565800552055,0.17101323740851695,0.17597918357040038,0.1741639298721836,0.17274510257347117,0.20940163855600374,0.20883559338328708,0.22671414285927072,0.19366694160944972,0.17638745655189456,0.17989880353864332,0.19522312776869497,0.1739128865456007,0.16815956899536047,0.18016879608597094,0.17642766818478803,0.18201199475029098,0.17364000796806212,0.16782510737709597,0.21796143593971345,0.16997411635899035,0.1852748676638901,0.17030913518911067,0.1724876243470683,0.18438663699170543,0.18653759115825974,0.16639984793738982,0.2169300992967395,0.1762774136907285,0.2313779923131544,0.18506797737836617,0.22581617582432278,0.18678284177142235,0.16919927240472238,0.19049691749716569,0.1812039000944693,0.19868321984238663,0.1822649944284183,0.16894388344440095,0.18027999509156756,0.15870094010924976,0.1864596829718378,0.17462003882866126,0.16127168470844155,0.16153962941466965,0.17078096163570894,0.17281411998546997,0.17923705045659952,0.18386471456127954,0.16154121224274634,0.18038625463676286,0.17850413008870006,0.19262276122374797,0.18075632594985536,0.1777415325838829,0.1854586126280377,0.15344806314843012,0.12797412933642213,0.19162129980935513,0.18029552657306575,0.18714993719508033,0.17949041333135787,0.1822639053577742,0.17431079877976205,0.1806681355119256,0.18088248321270808,0.17932119244403447,0.17372413601030243,0.18220180303266129,0.18168706367804088,0.19403735524167884,0.18011078115714893,0.18190704103225022,0.180651196091682,0.16739292516311594,0.17871486416540455,0.17970045927232547,0.18086594259757804,0.19270184332627202,0.1805943289342934,0.18003697919872047,0.16069769088769506,0.19346790017026433,0.17927546284023954,0.17974980313808708,0.1803683143523364
+280,0.27468984836430926,0.09093171121461494,0.344583170782501,0.16059531970822052,0.29020951886501006,0.0970934488797662,0.28107885876274646,0.17043405265123238,0.14294061865527974,0.19979104095759723,0.19695480502489052,0.05651162090102297,0.2771195805751281,0.19107451770503245,0.16658983248331835,0.2956296692085608,0.1531390363192189,0.18360227474064086,0.20279046858646907,0.17940818412298662,0.22171937232866393,0.22443795427644772,0.1861048056287511,0.17291842583862,0.30262921740690535,0.3199359951335905,0.23359613563269685,0.24846957092668764,0.06237662148238975,0.06555057085871666,0.07769143715943314,0.21642665030783984,0.0952333639896401,0.16893370910589334,0.12444107201671224,0.048107985591174615,0.05127308083721076,0.1676582914611154,0.2496417566015424,0.09220623329274998,0.18702090667698207,0.2123902523296154,0.10885675814354792,0.2554794163180558,0.22160717975611788,0.054396844004017245,0.06527218525895842,0.09745477897085386,0.06113896112498456,0.17904997359217334,0.21403999334125454,0.30467142526643903,0.25857271836147167,0.24212521940795798,0.0598960241075725,0.248660896770218,0.10874039508710366,0.07440047252756497,0.17996057993489925,0.11180727005027435,0.11133635383427617,0.15140679313457436,0.20122500845264457,0.15879744546958724,0.06464192387260116,0.10333023719988925,0.2575643423441508,0.12243507889434402,0.11179828424225162,0.2140146671080444,0.13384705670988503,0.1280763859760784,0.06363422640073813,0.14923062826771955,0.2111381406332686,0.1386850274766507,0.06697240271069962,0.1508198417573313,0.08442640174568784,0.16307802167972896,0.2194285414721423,0.19398233286089941,0.13128860675509388,0.1525333547915871,0.15332405188252238,0.1571388278368028,0.06342270965723461,0.06603827182481908,0.28616470471838185,0.052792616542199064,0.07659799652634869,0.2272857044167764,0.19021161440594167,0.14847447525486254,0.16788553781600662,0.11887438635602954,0.10260645545796677,0.11236087272466179,0.1131528144089917,0.15434427960022953,0.07555470094273387,0.1474739326629965,0.16484589890177848,0.06201426284787394,0.09770424946407222,0.1055614863431868,0.1165121351733206,0.09423029168349824,0.13151753357424764,0.12158748437702183,0.15642955348666987,0.12295945357598247,0.09210436782897338,0.0798808184576049,0.0869904799994532,0.21233176076470958,0.13607501626082835,0.10339366794899792,0.1537391552281591,0.09634208518035474,0.1462868832920714,0.19816966801692992,0.23147757875157923,0.22357233787184747,0.182757816768085,0.24733057178772483,0.10624585385633172,0.14556947007567092,0.09511060305429613,0.10291218292786143,0.12359644441151768,0.06939572196825593,0.22584953708313893,0.13124726117328558,0.13094716195302852,0.11430374494579745,0.26286480772711635,0.14635230043329914,0.06278637582276775,0.11268693023764569,0.10512069388672636,0.055402362911269126,0.18838309461731487,0.0609926677687426,0.06572316548930517,0.13842707058448928,0.06704019036465199,0.05098008405436574,0.056061485494961635,0.06553778928994879,0.11114600249135567,0.08639153307241347,0.12025101873549585,0.268511578321424,0.12281566593710583,0.20378381671319715,0.13997156917359976,0.17019105061514497,0.0,0.16457147499386265,0.08008476177408275,0.05059397240872653,0.06344590774689425,0.0635670676986147,0.16031322167234133,0.16121065278668345,0.19220897027780726,0.13024623153608364,0.08765527053943731,0.05272333260723568,0.09519137036838726,0.06890970432090616,0.08741080174173547,0.12507198871826375,0.09307428289887988,0.053839288547044735,0.08980076634017939,0.10283910577217902,0.15299530469197822,0.048843958863505246,0.13133640226132515,0.08453214065690737,0.07321823087228814,0.1280593431300644,0.13367574045170064,0.05121554259933906,0.20462914799208537,0.07368723271171325,0.20281582422905345,0.13994978088136387,0.16304268955965398,0.07847196598636035,0.120190791091795,0.1355017172016458,0.06749551691975655,0.09310684628003675,0.058902612552959484,0.04758532615790069,0.051836262545205306,0.09904687244257665,0.07829990090062124,0.046885546309659874,0.06725307097907549,0.070551325995174,0.08366021128764686,0.10655757980221017,0.05511247724955285,0.11760897859138533,0.09927270457129134,0.04734268243751523,0.08882506906367217,0.07696088714419361,0.06836949408561771,0.10040452260355089,0.06742543487628191,0.06497231102783221,0.15342690112706697,0.07075830017761182,0.052414461335161436,0.07919929899340919,0.049443299818582,0.054683455928403985,0.04834852714860015,0.04477991946987952,0.05646512295109878,0.048816479453738536,0.06986980683429662,0.053413065511514944,0.06033579445303642,0.09234884587352907,0.04780892806796721,0.0605961778660718,0.06484552354893833,0.05701338987011383,0.05129404596447747,0.05614486952447027,0.048368936395829745,0.07200664952849238,0.04839949246493266,0.04815461409537498,0.16709031393027354,0.10344941080738537,0.05017891627413707,0.05277279163238876,0.048757864852976215
+284,0.31416814413888733,0.1797705451592041,0.389101102443607,0.19712442068782168,0.32516023281575973,0.17550636213101847,0.3077818336431317,0.22761952766560872,0.20199401107615242,0.2607323685878156,0.2580293315922609,0.16740789205938078,0.20441402856806637,0.2379481100299593,0.2301565983007111,0.2055411942784064,0.21153707863242704,0.24358613072416974,0.14321974537446852,0.21397650357278353,0.2712324559135047,0.2684166386856953,0.24608528988661216,0.21915798222850816,0.3239065249823259,0.3671072415324913,0.2662904074793285,0.28255467785888,0.17718866120254576,0.1733809385716837,0.16756839361835976,0.2611073112543869,0.16208744992281324,0.2386751869797338,0.18522066785154015,0.16441638763928826,0.16813853414237365,0.23199919639545669,0.30100588248604737,0.16974572372309088,0.17521142446752497,0.2566695292277899,0.1918678020090758,0.29261005958827613,0.25877481485551107,0.16434637266618102,0.16870056094769598,0.18457970057420434,0.16865885842171552,0.24258401183085626,0.19197168119113314,0.3344918770474103,0.29620612111663447,0.2759394735661794,0.1688483624494033,0.2894251996060055,0.1834629403727609,0.1697425825192251,0.24666724605037915,0.19383620135341575,0.18349528808498336,0.20924119694505833,0.22257196133709256,0.20509914904313767,0.1667270476848509,0.17382796757928964,0.3030301240959821,0.20796363618372354,0.2004079691936758,0.26599548697100395,0.2150724044400044,0.20533597780503055,0.17007282416384986,0.21591307538844628,0.2530703002318041,0.1867461398604329,0.16950810135646174,0.2203339589620571,0.1832293593873133,0.2186864212708813,0.21574926501667346,0.24226578943284918,0.20048304530192096,0.20990361974189822,0.21629599244207537,0.2155008134819841,0.16426354417429073,0.1698119983357934,0.31140135932491014,0.16540845348028757,0.15668866762800152,0.15335250591753352,0.232509175775058,0.21077323073798138,0.16144886203309497,0.1738705615451908,0.19206040518785536,0.18957218378293275,0.1842458541822439,0.1969316128042254,0.1703011700369248,0.19861775562926473,0.21661819348313557,0.1677365585694295,0.17390776054352874,0.17528479596235003,0.19074175500505147,0.18152621911821257,0.18905455690777664,0.18907661506440024,0.20024304617514746,0.16054701308309266,0.17656869705852052,0.1836559473092003,0.18729008266680294,0.25574414072056373,0.20262833728160543,0.17157785279033774,0.2129175023419257,0.17597227015932068,0.2030283891168946,0.25371150031392264,0.27742327554871515,0.27415959419662156,0.22527018244060307,0.2970045026109573,0.14585091703147632,0.11769974913334512,0.17645567568861883,0.18148464100984227,0.19301754727327344,0.14425334573974946,0.1485153232181227,0.18295835176671915,0.19472749582338875,0.1974135374083373,0.30652348760866677,0.20807734997624136,0.16785638061839603,0.19005402959745774,0.18290361360134533,0.16198856347595494,0.23746762479014197,0.1627459931402702,0.15911373098829265,0.09574713382866364,0.1403866210643276,0.164496249290982,0.16868092904272555,0.1639431453864248,0.18212368934193784,0.17934512004323303,0.19706033338915477,0.21227701390741563,0.16363503550963004,0.23781955452646203,0.20913987622824728,0.21612565800552055,0.16457147499386268,0.0,0.17602735449396345,0.1645290417083398,0.1721208121194139,0.16974817937325817,0.22704860457959464,0.2260338703335911,0.24921234362432781,0.19593474323088328,0.18226880247298774,0.156519008738998,0.17534294734385591,0.1724980891660667,0.17817884982915666,0.15469149284928516,0.15568502423067362,0.16725171261817515,0.1808954147751318,0.17994036108470807,0.21738030331275657,0.16355382683529301,0.18251857321907558,0.16792971434212514,0.1736058953422949,0.1845644234567626,0.19062543998704756,0.16718559232010743,0.2440432175392617,0.16996425908349927,0.253729041102642,0.19845994941386505,0.23212972780416732,0.16839785763274606,0.19053766944930808,0.1825309503131845,0.16493439256374814,0.18286594638284778,0.1691707173922442,0.16505809994474027,0.15561663047337268,0.17585502454517254,0.17198618059282736,0.16611734904964837,0.16536528430924016,0.16379644517459246,0.1658745625228734,0.17798205351914181,0.1665767272585072,0.17787202020801043,0.17183783422694152,0.16638278248753052,0.18079804061614757,0.17560189077140467,0.1718614732555487,0.18743647364159893,0.15977483302101433,0.16552178485778335,0.20938591184225072,0.18012092137260943,0.16491582633736696,0.15499362091369848,0.16407239516058242,0.16773982661731635,0.1590195422889943,0.16676756897454525,0.16762634901725373,0.1647803924290844,0.15767146863809564,0.16406358944232705,0.165260023806346,0.17949212882531881,0.16596496263548388,0.16914138290632805,0.16777835338832237,0.16339060567045344,0.1627576360751301,0.16519320350040184,0.16642658313490158,0.1798887367901375,0.16618498589710395,0.16502986820939955,0.2155388075886937,0.1253330732114216,0.16548252887432607,0.16412993944600837,0.16645327512088573
+408,0.28917172743942066,0.1257359543908988,0.36786012951291464,0.18020427570037426,0.29986814360081665,0.10785265243757129,0.29478088059224183,0.1859596853052803,0.14644079768657334,0.21963409853887927,0.21984977191616675,0.08601244423056953,0.28791244741685684,0.2003969066880385,0.18367589123836744,0.30273154920014805,0.1645756481128445,0.20379959738128192,0.21591242935691968,0.1920870422405516,0.2202205490409016,0.23453874110179795,0.2018558022024019,0.18548878835972762,0.31025027131469535,0.3428683558307147,0.22911532167627646,0.2547524700254213,0.09925762168885388,0.10053630227046675,0.10102144602379427,0.21385059801497847,0.10861377069286512,0.19487686984647215,0.14116332120894773,0.08079507541028444,0.070858508634941,0.16600194746535052,0.26543038191441165,0.11486613795118235,0.19020505268874227,0.20058524698063876,0.12495468596273762,0.26732813854968834,0.2258924345461065,0.07798091554465353,0.09004750114662183,0.11641836264503656,0.08814777611253471,0.19242377903847538,0.2266053424079615,0.3108761013256473,0.2674721474885684,0.25237796409453095,0.08771409926788609,0.26480682805845024,0.12649374301553962,0.09916153813183187,0.20214639187239886,0.1391410172045273,0.12105522560421222,0.15639575300999028,0.19120300939377674,0.1637491598039996,0.0835098181612,0.11348396821885273,0.2558389318732184,0.14927743681923056,0.13824868052691486,0.2076169343711809,0.16472823771708195,0.1470920942001492,0.08690078697057171,0.1656910813502919,0.2231692257652103,0.14674137922903152,0.0940979593138431,0.15765666563986327,0.11029033429811369,0.17219976719074268,0.22726604164718645,0.20349525014217426,0.1436082975443367,0.16002165214311145,0.16246588312546362,0.1676465193555095,0.08402497497511544,0.08843287074648133,0.2725763987873771,0.08040286579797508,0.09656147636220876,0.23802780288211794,0.20311697585550206,0.1597220639969142,0.1725274138703561,0.13005649652572346,0.1191780448744282,0.10256083599194804,0.11279259621902345,0.15540709692991764,0.08645072680804182,0.15760658260005478,0.1617550112959823,0.08155616494215648,0.11346731160868972,0.107781322841249,0.1338583433622825,0.11450231585535435,0.14030478507347122,0.13086655224828694,0.16189587897296612,0.11423738008764371,0.1061862854584163,0.1100168307271718,0.12176375382704192,0.21684230141756797,0.14590499472740676,0.11320887323469608,0.16021906826096682,0.10017919734173167,0.16225673981551764,0.21269084229235122,0.24608205413385376,0.23927424025341223,0.20055318820781373,0.2642884704349059,0.12844764503109876,0.1622156711112123,0.11059885845099447,0.11994993561824477,0.13596841328428,0.08648177186153751,0.23012975171556194,0.13661591513171006,0.11551846180691726,0.13978287893778113,0.27701368947470956,0.15734019201777363,0.08629701581544252,0.13352176600849425,0.11880786800456529,0.08235410448587148,0.20378425888745527,0.0764118127123351,0.08540112485677734,0.15238369532165427,0.09363670954149647,0.0811842544599445,0.08484761562388252,0.07736726843924817,0.11983445288945106,0.10960168651955524,0.11574473346837022,0.27397207938366086,0.11804801704608754,0.1951727007937472,0.15313678246099816,0.17101323740851695,0.08008476177408275,0.17602735449396345,0.0,0.08098924850323799,0.0917775659026464,0.09130997168253055,0.16741587763024932,0.1693482381234457,0.1978433930401615,0.14056429190641698,0.10949909769814832,0.08239493668348974,0.1164870158538525,0.09717288085436863,0.09147917415786767,0.12471676626051732,0.11413166758956084,0.08430376968898864,0.10347075189166244,0.0983293354493311,0.18157651023966337,0.07973365327163656,0.14054497411346853,0.10070352556698842,0.09483972860819338,0.13684276174255008,0.14970018163163304,0.0756744033797306,0.21926084885216895,0.09604965383005733,0.21195680422983637,0.14844649837610133,0.18799524371447685,0.08524658112188399,0.13266521749793012,0.14592542932413125,0.09415558369803335,0.11614509081938955,0.08937657289161155,0.07548365699413405,0.08428667029937238,0.11003624830287564,0.09686465298169857,0.08239573673901716,0.09265243029833105,0.08055765138147078,0.09405746676640202,0.10806697679825199,0.07403007364563946,0.1253327520255172,0.1116063765177999,0.08115669311594903,0.10815676792319638,0.10423255687588402,0.09294481816283795,0.11820192722347853,0.09321867281801435,0.08957692295131506,0.14535176577998976,0.10103268350152753,0.08368213975534018,0.10183607916706494,0.08227506357947384,0.08292595333684537,0.077610512948451,0.08164347658120365,0.08543284050305701,0.08003917712953668,0.09482652107340998,0.08484917332483484,0.08856478405676414,0.10739368581515144,0.07589271637637818,0.09090399637670991,0.09045612247577006,0.07761034595457941,0.08235411427017404,0.08506698689595013,0.08140914864213673,0.10625240984278102,0.08129106475354823,0.08149221952496942,0.17556923360542587,0.11770849336892163,0.08284955535740054,0.08450487352517981,0.07881490139263016
+176,0.28457775587068523,0.11085805173606915,0.3701654754241019,0.17750944316327302,0.30920038847799414,0.11104305323327117,0.30015624216753867,0.18629547441289637,0.1476571324375872,0.2209390419413656,0.20862765071043712,0.0549016037458955,0.2862152287882077,0.19878783107712716,0.1772969607142156,0.30165792911790124,0.16335211872769476,0.19914426538173818,0.2091247511859963,0.18815733396565887,0.24197093865670233,0.23701194730297218,0.20158456839898078,0.18599919900167922,0.32143196311086947,0.3413719923182175,0.2505830722408216,0.2598517647483796,0.07757929700711787,0.07754567786547012,0.07747886598477013,0.22875135355618828,0.09991485796239837,0.1903428263617932,0.11990339702869095,0.045857438275816335,0.04389342590199032,0.1836483420517911,0.2655046920879287,0.1000164180014493,0.19346617043634973,0.22427496079580705,0.12349499347280729,0.2601154107087911,0.23535222428081776,0.04057915855658274,0.06127508335051176,0.09170019854525417,0.04431516358250562,0.18781436224054474,0.21973532296052392,0.3093844335282705,0.2640396574073296,0.24512486171734776,0.05652607297505175,0.26007863156910216,0.1131529871491256,0.06848117940055257,0.20210441941584742,0.12401749657719681,0.11500909828242496,0.15389359383050857,0.20505224503656552,0.16121097456304892,0.0666058752147152,0.10956784076750456,0.27497910401043824,0.13322178950723124,0.1224815046995605,0.22947923400762782,0.15535782619157334,0.13770185698903814,0.052312582741033724,0.15739757192340575,0.2273746856082569,0.13950299960357054,0.060205633108986,0.16754315523640453,0.08803641380999336,0.16319576494453525,0.23061262525185555,0.19445735078020593,0.12861790381291816,0.15411528542422803,0.1536853719710082,0.15676568820524972,0.04863042786956346,0.06504536325854153,0.2920299536743366,0.04797742558113193,0.07473841204760377,0.23304077288503344,0.19778650682977414,0.15129953479042585,0.17186304808163586,0.12328487319870768,0.11101605639859313,0.11680830076955177,0.11935104643656273,0.15995385793005107,0.0775162346889465,0.15575866549783215,0.16918947282160646,0.06151743797696445,0.0964282938996168,0.10518516768780722,0.10796426072029533,0.0962465533271525,0.13114599862054463,0.1180909775529067,0.16336928394559827,0.1254290099535684,0.09224406358692688,0.09243282909915325,0.1053198202597349,0.21197968720135568,0.1348440479157342,0.10164847931187725,0.16701028071149804,0.09237449973459863,0.15222095730134774,0.20513776118145757,0.23926789011410565,0.23184822430096924,0.1919245332600712,0.2588667505776458,0.10769010817411606,0.14630811299838462,0.0918851073007659,0.10657197744929463,0.11959726909271465,0.06495593113429358,0.22952388010407618,0.1294609455710189,0.132485460412886,0.12333216841220283,0.2726702733547795,0.1552407951726315,0.0458769514427838,0.11228332218192322,0.10699877548371346,0.04573285089047395,0.19542075121037228,0.05324884830018888,0.06413306584750274,0.13767308212640555,0.05844049489135587,0.037500462765562605,0.03811667012753166,0.05125438894889954,0.10624246185475575,0.08630445564195698,0.1238276288767924,0.27794881420533624,0.12675783757582273,0.20818006319333776,0.13655767520000398,0.17597918357040038,0.05059397240872653,0.1645290417083398,0.08098924850323799,6.585445079827193e-10,0.06113891934029869,0.06196871724659704,0.16224103991385402,0.16123571725312766,0.19549483097485135,0.1311783429114854,0.09130928632442818,0.04259276465773491,0.09394770055885567,0.07251279085260226,0.0927633168074395,0.12562008640620284,0.09895620234419861,0.048201585862484644,0.09679041108093901,0.10381565609891824,0.1696713832006537,0.04452506181984475,0.13537304714677803,0.07974013545567009,0.06678354006703614,0.12897685409527973,0.14431738583201373,0.060189105213545466,0.2233066363379119,0.07324622763237602,0.21277891429557008,0.14048981115753395,0.1782769299229744,0.07064482957883164,0.11992346052136725,0.13887450593987138,0.056751308113283404,0.09536490609717584,0.048107771556905994,0.047399884444548436,0.041385676303082576,0.10050202487508507,0.07140710563118076,0.04435740340694796,0.061473561040955714,0.06102894331623207,0.08056117772979877,0.11120581408629712,0.04323500066609789,0.11945958747703027,0.10113509585198333,0.037221151153976124,0.09079276180053744,0.07913957154249485,0.06511381917292967,0.10095955413301626,0.06295552712984151,0.06033190641026212,0.15900382552248563,0.07582969356436334,0.04367353517391557,0.07013919138503487,0.03508617619414428,0.04136634003875824,0.035858640962970804,0.04072643722744113,0.04713174907113298,0.03798624846163212,0.06631841418441685,0.04470005815472429,0.04856449132206357,0.09301500853507683,0.041798548919796556,0.055032348932278596,0.05067188563259776,0.051455158448137396,0.0406971462694303,0.04318807755820792,0.038218798787007166,0.07526532976176131,0.038868654753173054,0.03591055959021029,0.16353434191931526,0.09932392909707533,0.03846125147035543,0.03978084959885073,0.0386344129339106
+91,0.2867378151315557,0.11034605898760637,0.3627654829929061,0.16242924860270339,0.3050435583256684,0.11256763182911522,0.2985459226867834,0.17867199645984025,0.15294886365902743,0.21680906074128625,0.21474066878485273,0.06793098892114005,0.28442399298794385,0.19915986100956415,0.17602504882531086,0.3029936464759324,0.16034841593191715,0.19455561893350892,0.21136581660939632,0.18735187630427652,0.23987527211017637,0.2340828874696039,0.2015430440169892,0.17846587501458702,0.31597220188008607,0.33849051224551824,0.24638536289808363,0.26154920754889704,0.07557306149258787,0.08277003987011033,0.08561454901855366,0.22615436333108713,0.10631900237008363,0.188824557707909,0.13106376645739312,0.06108071155396635,0.06405184375108429,0.1767843825258136,0.27056554765203406,0.10395071563837359,0.19099706949577813,0.22154856051020333,0.1198201304880954,0.263815731860306,0.23062512316414555,0.059525660080209326,0.07536964812163277,0.09501109486401,0.07321895334049475,0.19165191523142053,0.22492678227503254,0.31077527292243073,0.2654933499654578,0.24850204727364902,0.06848581152722147,0.2637163479246174,0.1162991304795646,0.08013435058714874,0.1872601315548513,0.12867837437553226,0.11836660959552403,0.15772352001359638,0.2082029079992419,0.16245868384028972,0.07519445825087093,0.11354250527207363,0.2629056270819831,0.11576189490786555,0.09917093295102535,0.2206223675014961,0.158116093971189,0.11610393295113404,0.07021639883133794,0.16231412181253743,0.2200007519678657,0.14096868620517458,0.07302113275365224,0.16025823446519938,0.07141710641313435,0.16824848712621185,0.22869052947125895,0.19896950934957466,0.1375459754359494,0.15843217950620733,0.15834095344838714,0.16120134102382003,0.06888506476529092,0.07770144013460903,0.29258488981962993,0.06515334168167211,0.08373573079586934,0.23475057041027106,0.20484188951227014,0.15154667751282686,0.17560159871658723,0.13267475511215088,0.11034005624484228,0.12081806083146,0.12406187942987053,0.164004403330765,0.08478938710115615,0.15892667182150813,0.1693637044428982,0.0761250109366914,0.10538781567624829,0.10458499273916416,0.11868568002867541,0.10196284799079759,0.13829782136387903,0.12423311931897063,0.16444832056832087,0.13183071448420303,0.09815733301425715,0.09189787604903032,0.10438417918650608,0.21727054506650836,0.1412724094380554,0.11022249955923163,0.16700805910503,0.10370355946264986,0.15486873001241824,0.20758203949455803,0.24209587453314876,0.2345870027135067,0.19475962557484328,0.2622373660081941,0.11445550853074739,0.15286659696493846,0.10297836320344014,0.11510548555310059,0.12771816352933799,0.08106021012261647,0.23430674719763242,0.14032613745831568,0.1402248159338796,0.13147935908240188,0.27461365963630463,0.15793725989749266,0.07050958850256618,0.12947132021579907,0.11457495331903605,0.06291505902865037,0.20029319049981467,0.06762297822800388,0.08129610462205097,0.14571715006223762,0.07614131876908521,0.058775133997695954,0.06214237844335635,0.06727090454139109,0.11613966972020517,0.09265888848191085,0.12969777414149677,0.27528739851920453,0.13597822539219837,0.21179826320371611,0.1424369298978273,0.1741639298721836,0.06344590774689425,0.1721208121194139,0.0917775659026464,0.06113891934029869,1.3170890159654386e-09,0.04339429567280334,0.1638526728651022,0.164818020144361,0.19751607352370598,0.13687618196030313,0.09637281085456223,0.060512456435515685,0.10597899296512335,0.0799796735461273,0.09319420391849882,0.13505941488306616,0.10618855545276315,0.06280488360025473,0.09780292081315627,0.11287754805193517,0.17227355852123363,0.06404390233556613,0.14189791234232468,0.09282362949057807,0.07839203117233777,0.1342623300863602,0.14824622755559816,0.06661609274739533,0.21969999555102696,0.08276371178241593,0.21005798751211996,0.1493616780062612,0.1794105986879716,0.08963679190243452,0.12643827619515274,0.14334818707751049,0.07391753641188331,0.10612170968831844,0.0669152283479248,0.06522168304622121,0.05906566458894536,0.10701989958010598,0.08308112814329086,0.058464859225704977,0.06920214419666729,0.07506983287755647,0.09292999870148569,0.11693613941363391,0.06791263319073897,0.12520575424679053,0.10424700900116017,0.05581119300501225,0.09895207579240027,0.08903758264902223,0.07809915636448478,0.11021460680573329,0.07576430693206788,0.07381704991031847,0.1595599698419674,0.09136482551222472,0.05949898960094012,0.08655069219835966,0.0600868400222697,0.06093943890696528,0.05319800359002574,0.05852734139900409,0.06503302658647753,0.05688868839254593,0.07648479924053363,0.060518011403715356,0.0657768230689035,0.10159202846168836,0.06347151179597632,0.06796520063144128,0.07307335664639554,0.06653231327405273,0.059554622102192825,0.061495059704760935,0.05564494690686527,0.0886729947010123,0.056270824128749355,0.056276877514937255,0.16888524986954956,0.11165338622467938,0.056591917679861034,0.061465576450208836,0.05740480282263167
+70,0.2844710444801989,0.11613272843264626,0.36812450884908166,0.1680328131786658,0.3078117164993861,0.11276421160423566,0.2980642380409075,0.1835086681411967,0.1535320614217821,0.2196752444880543,0.21842451207606636,0.06574103115743328,0.2851560174493114,0.19838224805685784,0.17791408519014051,0.3021933948203496,0.1650640516675366,0.19851853685916265,0.21060976132364112,0.18613119657197427,0.24278539569498306,0.23566810786003656,0.2043409659044413,0.18142706433942637,0.31720124248877246,0.3424951891714672,0.24657134787849191,0.2605466060454009,0.0783805513522267,0.08355788795927459,0.08250200224697202,0.22547184488113803,0.1042407749223698,0.19028560112047574,0.13025771117926638,0.05857992858242719,0.0617754335832956,0.18414398558758432,0.2737021140307408,0.10486138290117013,0.18944386288424275,0.22134474989975084,0.12289783048757101,0.2635620654463713,0.2321190254689463,0.05686230442266786,0.07082170610021367,0.09357972080497175,0.0712403018600357,0.1895818738581793,0.22516050858719253,0.31023514874618285,0.26487839263302404,0.2481555343023447,0.06346339284109505,0.26175362758956416,0.11293957989613483,0.07857813179052442,0.19404339511557103,0.12716984076751034,0.11549573520834551,0.15550102407973568,0.2064166283847943,0.1598380950154248,0.07439905505733266,0.11042592965043539,0.2687733307586854,0.12470185238221203,0.10694671918467427,0.22699575430046354,0.15952315973793452,0.12381239543728753,0.0686010052849066,0.15843794782090576,0.21969283655650737,0.13727256102798047,0.07150336408328106,0.16601448108037173,0.07654828200341526,0.16309015368752758,0.22843249090431003,0.19841601196395622,0.13590460845381383,0.15683917021787724,0.15650288905278154,0.15916221658480295,0.06766904542704301,0.07415570181155022,0.2914588939944842,0.0634604865328102,0.0822353623675123,0.23431109986633739,0.20766794816817244,0.1517838078106626,0.1727892563404103,0.13012067432967264,0.11348427947325453,0.11957366047226825,0.12304160175167903,0.1614765240835386,0.08238208164132362,0.16016127228236324,0.16971273620709088,0.07505678601618497,0.10368089109583095,0.10383327211693386,0.11662877469940623,0.09769613342844828,0.13599071320513595,0.1188998496739645,0.16058335781437774,0.13098343488139205,0.09742847536940333,0.09455495681397665,0.10811533248243066,0.2164271849036615,0.14014638698472148,0.10864835689773675,0.16603001814791055,0.10370923780023014,0.1538596644963921,0.20733510534724836,0.241325591768362,0.23188122227561642,0.19492922541538044,0.260933378229579,0.11350075352283054,0.15251658669198476,0.09867609896249616,0.1124921088406447,0.12376677642627987,0.07744798650619632,0.23281947806313602,0.13709537378186423,0.1397933365021368,0.12821335641326229,0.27233652765792116,0.15676698634733902,0.06962244011167364,0.12763828506134053,0.1129818593448207,0.060654861708568035,0.19651509694413058,0.06551302798059468,0.07750067493416189,0.14349569074225124,0.07407160438359453,0.056596564280824366,0.0601058324022935,0.0640835908529683,0.11292658648701658,0.09341338763892765,0.12998414705695258,0.2759653138879138,0.13352833401627973,0.20848225642825174,0.13981385145239197,0.17274510257347117,0.0635670676986147,0.16974817937325817,0.09130997168253055,0.06196871724659704,0.04339429567280334,0.0,0.16541334522123138,0.16602636495927256,0.19842701041187008,0.13712696598228957,0.09683816275515823,0.058763989773542115,0.1012430658071616,0.07833743487881675,0.09350423237555316,0.1323307285982823,0.10335699811524739,0.061268290401512195,0.09700295841652319,0.1115651323815936,0.1741982916663628,0.060177400570711664,0.13678796341255142,0.08829163071271985,0.07066548009891775,0.12922261486616152,0.1466185873598774,0.0667516621043641,0.21901737304040514,0.08040378356913666,0.21079213884613515,0.1462565441139212,0.18070548526862915,0.08794435991469028,0.12441105234513486,0.13794383162014143,0.07250880936597603,0.10101258086913315,0.06478922773039081,0.06190360871444361,0.05653634179680059,0.10609999109497736,0.08185412526914478,0.05233032966847678,0.06784345642460028,0.07391624976678991,0.08706687143505154,0.11678177201279988,0.06641564602845411,0.12249138518719681,0.10208534393809748,0.05363275434179479,0.09446450613141462,0.08299318149908295,0.07351779514989205,0.11057711136185855,0.07409895581867555,0.06770304514336375,0.1582141002742231,0.09028611587834504,0.05752145660185577,0.08476071309040811,0.05820060953329919,0.059127346286758115,0.050736243780203534,0.05612180221474052,0.06307705438333068,0.054097278296885494,0.07277498408250208,0.058671913154753744,0.0638433852490357,0.09778634246093572,0.06141058590791295,0.06586295826330649,0.07154628033768048,0.06442142128181946,0.056879463497339196,0.0594321637646303,0.053648749210286506,0.0872889344591807,0.054274059443782635,0.05402650902237292,0.1634668286375189,0.10947334112782117,0.05447254653094556,0.059752233339137976,0.05544267281739506
+156,0.32345922778889546,0.18190754207650303,0.3868339750863753,0.22554923777983168,0.3318668824020216,0.17961436709694661,0.32472649460240255,0.22783589627726591,0.20560758041832672,0.25415467434340533,0.20485475587576724,0.1633917817304621,0.3183493200680296,0.24856581385244872,0.23335463506619228,0.3318895235033802,0.13797749140312524,0.24331615642398,0.25612817729827353,0.24107764803563136,0.26881527982865766,0.27934148815945475,0.15159857488662185,0.23430855405122866,0.34228233278463854,0.3545352917894344,0.27873263406158894,0.29141928846938975,0.16246097424822076,0.16997220834987814,0.17162751364050433,0.2654656822784489,0.18248375374759326,0.22824425302937215,0.1976648247639475,0.1575549383707736,0.16332080138471242,0.22471342667598884,0.22802148248080098,0.18012800741401624,0.23351668283927104,0.25663993406612484,0.1655920490295724,0.3013198101289684,0.2622137755668212,0.15570727093145117,0.167384487383819,0.18148811620324018,0.1659640165885579,0.2350933574093452,0.2673032013745811,0.34418383551166254,0.30194223519874996,0.28894991453301905,0.165530192221303,0.3034489170474736,0.18576100820804506,0.16992039504136208,0.24194461278543378,0.19765046004804135,0.18804816225437587,0.21577400413600586,0.24790695734813503,0.21419795441601674,0.16337371229314004,0.18616523595366363,0.3024340840849056,0.19833997240756482,0.1900964558475061,0.26345517056171835,0.21430762342631254,0.20211361903838929,0.1634989125689699,0.2213288478301436,0.24241500305993668,0.20817544102646476,0.16672839936482461,0.21306206069337916,0.17783168741022026,0.2229062949848673,0.26785055128698826,0.24899387204768447,0.20126711574602424,0.21741745731790335,0.21687939106267298,0.21897922338893608,0.16322401858401347,0.16977583480701117,0.2562699239190927,0.16321030000150855,0.15373201769220915,0.27475498120245795,0.15285946277266832,0.21778206072078984,0.22019289082664928,0.19692770756763495,0.1799009525664264,0.1842644315330102,0.16975703117310184,0.21791403548385724,0.1695718329927691,0.21501078822102818,0.1615693585097396,0.1666117034570183,0.17988591167925133,0.18436466136083945,0.1924871421581069,0.1801784141674761,0.19921977705437285,0.19061610633170664,0.2176368895855775,0.20000463551660233,0.1746713178927902,0.17196855151612297,0.17653526374085188,0.263027360178963,0.20334047330520652,0.18280956619815872,0.22057270292069586,0.16434300127705093,0.21341579975803046,0.2565170375235619,0.2849378238248616,0.2787652060841755,0.2455729226754769,0.3028033239248947,0.18567356275413985,0.2130240807831436,0.17669891297010548,0.17513089138143575,0.1911135560746478,0.16991266244005204,0.2753011301426087,0.19851240884373098,0.2004153828835164,0.19817435073191836,0.31309023672503467,0.2152552808261496,0.16384242656369313,0.1937020443416021,0.18077818638275586,0.16258678466229415,0.25082815707884754,0.15992724822544074,0.1642865894414708,0.20828730840456713,0.1680657111587284,0.16098646019472576,0.16249941089447842,0.16520824007542867,0.19052345679552662,0.13158758356267508,0.11339161894340907,0.3083275529693563,0.17930401346074074,0.24984773201575466,0.20652445491518945,0.20940163855600374,0.16031322167234133,0.22704860457959464,0.16741587763024932,0.16224103991385402,0.1638526728651022,0.16541334522123138,2.634178031930877e-09,0.11100686916568119,0.12094433101531654,0.11918839912834221,0.10930755048798017,0.1618252523180486,0.18339281378799405,0.1674064507986975,0.17361995930989027,0.20109278095457217,0.18244658738025607,0.16266461350783495,0.17408970867547516,0.18110177634624394,0.22385161235642653,0.16003845298401898,0.1994333970150673,0.17226816406163692,0.16897122972563597,0.19705573861621553,0.20023722130457194,0.16295537045000594,0.26220840392384637,0.1689522348256414,0.25570076724315804,0.2115303817535792,0.2286130837294451,0.17477709287641943,0.13209009883713116,0.20434164177214947,0.16699369534728173,0.18336348751659798,0.16431055644504933,0.15962513426219932,0.1616700864607122,0.1795997819409354,0.16917305704381688,0.16110360960022546,0.16584791670607982,0.1657135050267048,0.17723938997899186,0.19068510610615694,0.16229117644393493,0.1905617200048915,0.18473944565600595,0.1598966070956204,0.17932251817720093,0.17450785448918446,0.16900556234576933,0.10526586061685254,0.16810214227953904,0.16589187674444983,0.18281156155637787,0.1758418318517596,0.16130937808622872,0.17289648279758804,0.16106865068895482,0.16241313498062018,0.15905697791523296,0.16031558437470692,0.1629886786183864,0.15987830114603224,0.16821712728656615,0.1616518264100196,0.16376093728919042,0.17747390181827102,0.16062128358787356,0.16531779135765642,0.16681746203637396,0.16168107543951227,0.16088007230675289,0.16246331386632154,0.15999787373218127,0.17390530682882618,0.16016885433497427,0.15994739373674166,0.22462996049926223,0.18655716515280127,0.16128124965893498,0.1617100379611494,0.16057898229650347
+227,0.32308032714956664,0.18174700943082128,0.3881200771937497,0.22713960969528094,0.33148611811959544,0.180090304265941,0.3250709570569909,0.2291418810677005,0.205166301577116,0.2542893657051907,0.20572008447544807,0.16376024260693536,0.3181076587803506,0.2494159317257425,0.23410751168807778,0.33128110438439035,0.1428538882199041,0.2444532147579672,0.25632273232900027,0.24146666131448674,0.2680046167933553,0.2796643287461244,0.15514963170506252,0.23430422270935877,0.34229992789924396,0.35565212516411815,0.2780551317756669,0.29025054756101504,0.16283922418221894,0.17036965204326848,0.17142088542999523,0.2661299697749199,0.1823008454386164,0.22938887380267708,0.19874615147576438,0.1576989194180595,0.16380812508216086,0.22625090991931288,0.2289883698477243,0.17887968145247435,0.23123978624422795,0.25830765229479963,0.1655508743870839,0.30111742275963277,0.2634021874065503,0.15607251688795226,0.16785820646946414,0.18137295901943898,0.16545650611319582,0.23566957340280523,0.2683636874844744,0.3442656920475437,0.3026058407882178,0.28911192961735277,0.16647920713343356,0.3026031888484431,0.18615084406034865,0.17041236360410938,0.24366951474748502,0.19784394827605792,0.18718513086090802,0.21608809657728031,0.24728101789789553,0.21334798255500373,0.1640078051745671,0.1851676773641997,0.3039616696037774,0.19928060283802307,0.19096335954396354,0.26397047224492765,0.2135868047610058,0.20267171749917193,0.16448493819234655,0.22087888125560998,0.24286174012993852,0.20712204252286873,0.16747099844579919,0.21287662147701464,0.17804525038150257,0.22197014785456867,0.26636965604558505,0.24960972643019158,0.20218681383446396,0.21686070899144677,0.21669249069934732,0.21753048604357708,0.16342931222041218,0.1703957854386465,0.25756288579498876,0.1636755333215605,0.15372157209941742,0.27444890080957685,0.15743312707725865,0.21838516404322664,0.21984475414947904,0.19512361259925404,0.17967877781810526,0.18439584858327332,0.16912014874770684,0.21739580091612504,0.16919540767393784,0.21502337937212324,0.16374831905110168,0.1666088186535341,0.178966218304289,0.18382162996732668,0.1916420768710826,0.18157070062550507,0.2001714485788697,0.19030022860491191,0.2183678106784641,0.1985474735279937,0.1762446279516277,0.17125644659843278,0.17739283274650577,0.26298833737469923,0.20412928871649572,0.1833079903664664,0.22014734598967847,0.16497552556911052,0.2137181922584441,0.2565539549265391,0.2848305175735849,0.278601420960086,0.24570431183856567,0.3022745710898065,0.1859195093178361,0.2133465717170857,0.17606044321010256,0.17469174757550185,0.1907367779786067,0.16889776298692097,0.2745375287372239,0.1971998954108844,0.19866899244175226,0.1984374168269353,0.3130684057011418,0.21541623742530228,0.16298207939398807,0.19195386416124618,0.18153604678391164,0.16305026253629212,0.25003315090807277,0.16151954251363335,0.1649846110220504,0.2081747960293421,0.168546137159111,0.16109146271979002,0.1629030069659173,0.16384351212870757,0.19076881996666495,0.1309258347830704,0.1198887909552326,0.3065866705176612,0.17777250805194197,0.2498510142490905,0.2057570579967968,0.20883559338328708,0.16121065278668345,0.2260338703335911,0.1693482381234457,0.16123571725312766,0.164818020144361,0.16602636495927256,0.11100686916568119,0.0,0.1265998666592231,0.12547845905250643,0.11331641394234274,0.16244890639239337,0.18245566304101632,0.16826384212272222,0.1739536438200823,0.199215209045979,0.18237828329969308,0.16340610212251303,0.1739255892024453,0.18078978003296955,0.22461498216074172,0.16043855846735353,0.19991964576562557,0.17103089213781503,0.16951159529570792,0.19785804625824843,0.1993691875650869,0.16377410264732623,0.26338555257566515,0.1700924950370529,0.2569038302812067,0.21066930927545963,0.2294665008871297,0.1734543416889147,0.13247756293744412,0.204505824574115,0.16735618643341402,0.18318380812638607,0.16458217955316007,0.16136367571055452,0.16235401983009368,0.18070839468244737,0.17089026644627742,0.16158830787949796,0.16445911036784733,0.1652229215311846,0.17742252514303092,0.1905044824009442,0.1627747758024166,0.19164180213559004,0.18319706111415351,0.16066702023647275,0.18006499702349352,0.17501705747778806,0.16943026163188768,0.1063907749997651,0.16863582796985324,0.16520890767018112,0.18323084677680004,0.17523581978777295,0.1619091861034543,0.17259971656661197,0.16111541218725645,0.1626001251720897,0.15903413552567244,0.16110245496309766,0.1631695251562328,0.16018425446472803,0.16847319099521899,0.16241903541873023,0.16471154410280625,0.17940803781269066,0.16175659838136996,0.16534704815326742,0.16746995012028126,0.16174302924437825,0.16167998662061303,0.1629420478083092,0.16076955925824887,0.17468777768265928,0.16094346455699068,0.16090579307629138,0.22390362986509524,0.18635252776021963,0.16183729902126107,0.16175271759275273,0.16115143917343303
+191,0.33887900288475203,0.2105434715574608,0.3988145395696749,0.2485631753175233,0.34436796623447363,0.20633880215484793,0.3375462919483844,0.24964403561757925,0.22862607111065264,0.27251406523651744,0.21749831447927342,0.19540408349626304,0.33266604234597685,0.2687578382884565,0.24862406324607061,0.3458792466149242,0.14272006167600731,0.2643414293189483,0.2757106375577437,0.2621205203714369,0.28370268785625935,0.29800777149231833,0.1620733939886226,0.25485527696875054,0.3549122476455493,0.3655036017859484,0.294265622071709,0.3056116507325569,0.19445063241031782,0.20214337038150473,0.19184268309580838,0.2843569974598494,0.21090283749707286,0.24875515331951753,0.2261306796377933,0.19105958938403378,0.19670514538956058,0.24708834882177513,0.23221999786865616,0.20978191965762322,0.24400374309238648,0.27417037090052976,0.19278346624105774,0.31992490318460437,0.27812426428904224,0.18932539163504525,0.19892950743189516,0.21208122949698047,0.19928535948979242,0.2559457903204647,0.2874389404170113,0.3600916355171759,0.32041016304952075,0.30161813731927195,0.19750262537082233,0.3204323537961476,0.21178865349425882,0.20217545418184618,0.2638423110187612,0.22501938402103447,0.21581989796546802,0.24067430690747074,0.2656730668513514,0.23579777616967493,0.19504273989373602,0.21361217717405653,0.3185915238571451,0.2255901971404483,0.20914781254990072,0.2804765548590903,0.23952784853430548,0.22119189791779018,0.196865044625109,0.24452425863984378,0.25759116378621283,0.23194211328815376,0.1889246543532994,0.23502136338434076,0.20916458092351645,0.24456166505770557,0.2836666016715138,0.2718760671546587,0.2286936739445513,0.23349226273438073,0.24233614245338378,0.24446064093589304,0.19637052979950562,0.1996243348810351,0.25141618417733586,0.19657439574197616,0.1848983694849518,0.29297030110584793,0.16279167387529006,0.24278700111725568,0.24163486107034826,0.22326873315483733,0.2077901598391893,0.21150101207940453,0.1960178785721892,0.232512058233538,0.20067466811376544,0.2385828147448152,0.1799879182509612,0.19813248682505852,0.19862285818690253,0.21256822572949505,0.22154891353599265,0.2093754029025765,0.22649143829309343,0.21664829599349364,0.24059757201887214,0.22491907152598362,0.2058516117665033,0.18951429644231424,0.20650971575992413,0.2771579237524899,0.23022906435051113,0.21135139922830026,0.24167114693756184,0.19326538687417355,0.2377588171614856,0.2783978706919612,0.3040655026865008,0.2972951098567694,0.26753071866353706,0.3204506291895215,0.2145366719489897,0.2292777414825898,0.2067170979507246,0.20339632019654943,0.2188296397838538,0.20142191327248388,0.2861325890489754,0.22396380066268604,0.22479582598286132,0.22459468832078058,0.32904813712003617,0.23970291238564054,0.19713113367781182,0.22147147992886448,0.1968251264893007,0.195737580002738,0.27058298648688056,0.1935621362349911,0.1954164497848815,0.2335108714455791,0.20011562559123197,0.19444275973611438,0.19616842847863242,0.19768079951020787,0.21740093103060312,0.16205902918350387,0.13841506292421052,0.3225366063809533,0.2023978450913504,0.266426280867717,0.2322153752735468,0.22671414285927072,0.19220897027780726,0.24921234362432781,0.1978433930401615,0.19549483097485135,0.19751607352370598,0.19842701041187008,0.12094433101531654,0.1265998666592231,0.0,0.1466953232530763,0.14271013065156068,0.19504697636705343,0.21194709247964702,0.1987100584122432,0.20259192947552376,0.22626057135442645,0.21151766000900327,0.19616778537190752,0.20417938714643924,0.20946099907705942,0.2479237918879461,0.19314583628078416,0.2243932427317908,0.20267872111048058,0.20004712839122102,0.2224629303320795,0.2241044053230301,0.19458982319999885,0.2803082550632729,0.18933985077796206,0.2687652042725495,0.2346964494004756,0.25195948049763045,0.20536274342029182,0.15729941275542775,0.22885092334829474,0.19964291009595345,0.2117502644396035,0.19747281223070257,0.19238452304865253,0.19521888798526724,0.2073464609243692,0.2014863329575772,0.1932575464972711,0.1982541600981432,0.19716263312062732,0.2067509952034429,0.21772331603834874,0.1954455878611805,0.21750027714441192,0.21288444955649885,0.19397473454361544,0.20773843414214604,0.19353119784039574,0.20025423452075825,0.13580773512465494,0.20039305828148402,0.19663804029118911,0.2025822866237206,0.2074201104315817,0.19509198839688482,0.19461220847248675,0.19485251601514145,0.19610002371568208,0.19286144478432643,0.19415490730169815,0.19635161591764252,0.19375711268956816,0.20027711685090946,0.1954018187242269,0.19714953063474408,0.20740102660030757,0.1943952460460289,0.19849422766837396,0.1981265905329789,0.19311694530235607,0.1944676578756788,0.19561294079386454,0.194062054792329,0.2056102085059468,0.19412122549641275,0.19376796618173808,0.24494787977815335,0.21520497052027082,0.19495863172097538,0.19556379071019359,0.19450392969389269
+48,0.30591054279039886,0.1602202182886732,0.37238396457983813,0.2067666443053013,0.3216671748588813,0.1569983952336851,0.31211089539793085,0.20782273878963559,0.18194876096371462,0.22891297020284257,0.20881180813955147,0.13103157092254672,0.29831201422228465,0.22905507238169248,0.20987072367388765,0.31495078110671576,0.13603173746943795,0.22601383707457964,0.23432405128030143,0.22211638823354943,0.2554896193555846,0.26284739184759454,0.1633292836963871,0.21466013173275947,0.3312802533063244,0.35026610201061037,0.26375429666995254,0.2700896285922474,0.13608969178088276,0.14267763551041696,0.13999727304943985,0.2506227795027216,0.15741731759073738,0.21431273804383918,0.15171223049550384,0.12973977915545334,0.13408114001977156,0.2074975228271783,0.24419207669494877,0.15471115748450737,0.2106174476246915,0.23520173907937827,0.1457239985320487,0.2864013835322711,0.22735399333423786,0.125591675194145,0.12791459781880063,0.15387238146061802,0.13112403783647628,0.21794831273631055,0.2243255113809121,0.32982414725555903,0.28610245578520066,0.2690080228607809,0.13711372790333792,0.28641488304230855,0.15904324831649355,0.13707526743087456,0.22485874887293122,0.17135004123467856,0.16375362965290383,0.1948964601215774,0.21837775829148007,0.1920266296852699,0.13470686515872446,0.16159152436653812,0.2882861885783072,0.17827509915031914,0.166964877311727,0.24884688659070067,0.19487834144466654,0.1809921612886605,0.1348139159106592,0.18765311748594166,0.23313125808317642,0.1827172508124211,0.13616676854227544,0.19070671381679374,0.15255486272940222,0.20015345203286153,0.24413576223354713,0.2289029133530224,0.17642401705405356,0.19427230373131155,0.19553474692565498,0.197341466854438,0.12612569318060202,0.14058848573651173,0.2570465020401504,0.12720365589847202,0.13145704564635446,0.2542370593598786,0.17021147648631976,0.19499241113374266,0.19980083303865206,0.1723855186590228,0.15508186485885878,0.1626330924514152,0.1402842899027384,0.1762567646760782,0.14277742272496477,0.18682947305412834,0.1603370811722922,0.13955579031371387,0.14473738463907976,0.15759804608445835,0.16638967134357283,0.15304715883081801,0.17430600710147395,0.16883264338985968,0.1954173826359008,0.1739186135127223,0.1484437989769248,0.1458689766530391,0.15245371737261776,0.2443964016265625,0.17750623204304616,0.13870523051404274,0.20012600199346417,0.12232410861772826,0.17996497243053156,0.23689328888920758,0.2675058137204552,0.2615496216577091,0.22642574487526262,0.28615215108775066,0.14327280185651442,0.17631259239010869,0.14986027153516226,0.13416901234026338,0.1669697557457718,0.13786638804802434,0.25297189891888827,0.1772702580116136,0.17606355237791602,0.1723521111825022,0.2953998631753894,0.1933467434490097,0.13364080488203825,0.17169144050205024,0.1563563518351595,0.13274580385642315,0.22905771981184603,0.1260800015875924,0.1369606304242371,0.17367351812273069,0.12544689496265035,0.13143233483574265,0.1315993976168311,0.1373156113579046,0.1513065244391652,0.11713420919288287,0.10606245627973566,0.2914466184303148,0.14443735235027202,0.23250860886873223,0.183484729927083,0.19366694160944972,0.13024623153608364,0.19593474323088328,0.14056429190641698,0.1311783429114854,0.13687618196030313,0.13712696598228957,0.11918839912834221,0.12547845905250643,0.1466953232530763,0.0,0.09103803581123424,0.13259700849070663,0.15422848766663605,0.14010357287922107,0.14828376351459963,0.1763418830620876,0.1523265626652104,0.13298069142565794,0.14160832057935427,0.15195289732267422,0.19112255504831702,0.12957012439207502,0.1786128382632207,0.1410239216038079,0.1396199783014435,0.17394459956456507,0.18237589820599465,0.13256879159432505,0.24631549231396702,0.13659017277578459,0.23298619841376733,0.18962409814218578,0.21080274388299455,0.14505069045495456,0.12729210591708642,0.1827665293505748,0.13811011617955385,0.15187063923277438,0.13575020732279713,0.1266570251100265,0.12746535581971724,0.15177882628472064,0.14083984438361127,0.13192942849739203,0.13915371743316296,0.13465684828267885,0.14780314320867718,0.1673930799523836,0.13193102582667637,0.16194651642739333,0.15529960573083293,0.13040417843972235,0.15362564151672417,0.1429251730878511,0.14097949052027262,0.0956967353719842,0.11813838353001824,0.1356871908643877,0.16829668163539546,0.14974971929857098,0.13052699442257681,0.13441981005121686,0.13025227574877152,0.13279159413346414,0.12817843310798638,0.1306796509192482,0.13268806197997543,0.13015445886170643,0.1375366252338777,0.12851359371520898,0.13200392422403448,0.15038025534568697,0.12775815675668578,0.13563812149620413,0.13433604469391777,0.1298339776815767,0.13095521303242036,0.1333162761381532,0.12903406653303126,0.14735428278160995,0.1307123064920596,0.13001954320475445,0.2022252825680958,0.15773936155742957,0.13119668058666042,0.1283330318571582,0.128359480786502
+269,0.2899457909182163,0.12899369871819716,0.36676487820721465,0.18800709226526885,0.31057227604273024,0.1283821992427283,0.30253130338310436,0.19080738705731054,0.16359261085830348,0.2164651446165257,0.1968836644528529,0.08955038385942504,0.29097453139809903,0.21129684831197657,0.18861131507318146,0.30756962647060987,0.1313154360210983,0.20642324764776035,0.21967535043710532,0.2006324325237008,0.24187594896503023,0.2450904744094528,0.1627520015318564,0.19375354625531022,0.319628579563354,0.33941433702344287,0.24951913635627734,0.2664966242811868,0.09576619313281941,0.10322539597046279,0.10671318475251272,0.2314720806314755,0.124093175503942,0.1941925243305583,0.1371116851486323,0.0862223085095358,0.09130998574632591,0.1891919343271659,0.2413535778608128,0.12193791662739553,0.1976707610608725,0.22454008837256376,0.11619614686200765,0.26958193671554104,0.23112220420987967,0.08655776994738247,0.09140030001631615,0.12173149528386416,0.09249781242436865,0.19995749874756316,0.22708339163716848,0.31563985732767696,0.27134138005483466,0.2553143314096136,0.09685570218362705,0.2676685627970519,0.13178967560330873,0.1028717873405167,0.20373383286353952,0.14243702289538773,0.13332598932327602,0.16878073574675778,0.2130849441672885,0.172710353956009,0.09691048893930242,0.1299041346553917,0.27421648509813107,0.15185941062182867,0.13597051428991316,0.23287875851311643,0.16862964351794663,0.15442122333299613,0.0958942843697833,0.16436830093974653,0.22083698348550307,0.1574087932260031,0.0974774983920193,0.16989886680052327,0.11735577752330612,0.17955710742433764,0.2353670318614322,0.2090158130355225,0.15074612072870938,0.16901760510003697,0.17024588133999863,0.17216590823158834,0.09393568445286286,0.10463562135940452,0.2660512843700998,0.0877510376186488,0.0956674152808729,0.24230141030745467,0.1671591827838672,0.17181574928305932,0.1826961960647659,0.14551860529257965,0.12354551893158008,0.13214355455717855,0.11737549330473965,0.1673566806223307,0.10400710990951047,0.1677825438576313,0.1479789702831828,0.10080438455828036,0.1216814751587176,0.12871849089392942,0.1378563590084735,0.12226493282542639,0.1512627905207483,0.1386863981915538,0.1751221142705485,0.14734702896952692,0.11526741261273626,0.11255170704752397,0.11835303130018392,0.22542507884149635,0.15293953149299871,0.12450701088488002,0.1783877450116489,0.10959419682119936,0.168016674358069,0.21477399237213035,0.24843921151096557,0.2405620228217493,0.20429600430579803,0.2668554117388929,0.12640874915613345,0.16483949427879827,0.11741320990302785,0.11012002234842909,0.14024879739019858,0.10346261297953882,0.2407221764597212,0.15272157562272093,0.1523650796171695,0.14330437881433655,0.27791567100442716,0.1672547862768054,0.09825721379637592,0.14437142624775642,0.13029282816821205,0.09055232171512237,0.20632061625411,0.09152124810021686,0.10159398751753095,0.15631867249055384,0.09780329974828836,0.08937608901043745,0.08954795200082391,0.09850872869051087,0.13598356389480828,0.08197078032190529,0.09613350808017229,0.2830952687524668,0.1334683966358133,0.2179490452476702,0.15787241466734186,0.17638745655189456,0.08765527053943731,0.18226880247298774,0.10949909769814832,0.09130928632442818,0.09637281085456223,0.09683816275515823,0.10930755048798017,0.11331641394234274,0.14271013065156068,0.09103803581123424,0.0,0.08916201290810044,0.12123694127755913,0.1019581244367746,0.11498874182115557,0.1494836744245358,0.12149600676668544,0.08882715819267419,0.10616639082636571,0.12627968259770772,0.1798100073180103,0.08783664351528976,0.15238798132388112,0.10957511425343455,0.10114945652746482,0.14699576673549158,0.15809101193629146,0.09179104651336158,0.22819377554953246,0.10329896906282211,0.22192744293595687,0.16388934229032726,0.18819509867577344,0.10926647383875097,0.10033125836089259,0.15491829584371244,0.09860877782056288,0.11813775145133601,0.09331826562614644,0.0864836455515168,0.08816625375214446,0.124579024005349,0.10534792539791059,0.08837375232382035,0.09777744362576289,0.1015999679310316,0.11347451133151223,0.13633797049304722,0.09534205041246174,0.13597326184330946,0.1260080587624955,0.08561580598019795,0.1189236319033668,0.10799701487484371,0.10195258059383094,0.06506830747404109,0.09051626345277534,0.09629235139418393,0.15207270705105125,0.11326759762809135,0.0883640708326196,0.10638811727003285,0.08860664926256258,0.09040767902875378,0.08655122458197241,0.08688994822566395,0.09172833226537175,0.0857671567909926,0.10045139954622012,0.08906116388268219,0.093423244196373,0.11997751948190483,0.08831211775479315,0.09501831098766823,0.09584332016732784,0.09210981909990826,0.08807413216815227,0.09182506826001377,0.08574446630225899,0.10992310215082023,0.08627407783632109,0.08623150913761951,0.18257724630860692,0.12816445629763581,0.08861020505066766,0.08721808148049759,0.08362210962629417
+282,0.28186764699576733,0.1116831023483942,0.37302748728591434,0.18144037796740928,0.31314845052515866,0.11479102937048719,0.303438463403578,0.18683731191793193,0.15393932941176391,0.22201209610691416,0.21909315983750485,0.05385597051019693,0.28327201084570414,0.19785968811523041,0.17841890982678169,0.29822594801990293,0.16415945974084845,0.200678507666728,0.2035849815159947,0.1910546752157077,0.24547011845820668,0.2387825406770776,0.2037120163678991,0.18995712565622377,0.32270374771139476,0.34553192667934274,0.25423607151089705,0.2683349883067021,0.07524850716935944,0.07316267767568269,0.07340880211692936,0.22891676136865832,0.09739264212366183,0.1911557331082808,0.12039727143079106,0.04094753530151802,0.04193506656308762,0.1860008261055323,0.27460186640676354,0.09910190305083731,0.19306845797965835,0.22650059217531177,0.12387174380237821,0.2615685519557414,0.23800371135773205,0.044293151588485485,0.05503538403839724,0.09292339581823642,0.05175988568840482,0.1953349565650882,0.2202182255146397,0.3089913975802273,0.2631537400407346,0.2445894860139641,0.051431712659467166,0.25742805134862834,0.10950328325989672,0.0627582199772058,0.20362083268311437,0.12464009365682387,0.11299481953365918,0.1519447804891787,0.20802728666890433,0.16336930471847344,0.06492766459991454,0.10921581744705759,0.2781709371591488,0.14251396434551197,0.12395309146304076,0.2322501041137486,0.15674716889212872,0.14282122236297456,0.04924922792722596,0.15338871946724572,0.22962338618427441,0.13995326128776167,0.05339704373759331,0.16940833118091703,0.09230061870893917,0.167102058154162,0.23494054156648195,0.19282910869434627,0.12900434087473045,0.1535441201147159,0.15239064100999447,0.1562701718913792,0.047442314223878734,0.0675008030647704,0.29533755812031476,0.04306004633857217,0.0739054682689964,0.2284324567126135,0.20445329588556485,0.15258893178100935,0.17190733234675468,0.12853552934210105,0.11077623261601846,0.11546138630174814,0.12231155508097223,0.16062704119127688,0.07427774699814503,0.15765477327070512,0.1696303772062198,0.06575248851132433,0.0985170547844626,0.10416845469805219,0.11310402761958425,0.08908450786414865,0.12457174754226437,0.12200950226576747,0.15958774852284277,0.12641007451677103,0.08553572413960242,0.09502990308880815,0.1027243802938561,0.21126788452161394,0.13221164742426372,0.10143521350627151,0.17024733146755924,0.09769113268864557,0.15541795563725092,0.20209454094607995,0.23707823761334537,0.22893326066814326,0.18981979612969993,0.25743783260718894,0.10019355195253843,0.13929347984721385,0.09189700209331261,0.10766786108178479,0.12005126217497368,0.06565208227565486,0.22470159923828018,0.13365044201924697,0.13580857769747842,0.1181024403826359,0.2688155864203939,0.15157937598860496,0.05333775571338148,0.11895621456937892,0.10908390795311068,0.030526097466814794,0.18934553030461557,0.04885430820547445,0.06447864384524458,0.12898155270979794,0.04962453449443694,0.03568577595279208,0.042640031232709555,0.0581077833634241,0.11522898194818398,0.08142816059964343,0.1248898702109786,0.27696769041113517,0.13184755026030184,0.2138168468251324,0.14033790761840284,0.17989880353864332,0.05272333260723568,0.156519008738998,0.08239493668348974,0.04259276465773491,0.060512456435515685,0.058763989773542115,0.1618252523180486,0.16244890639239337,0.19504697636705343,0.13259700849070663,0.08916201290810044,0.0,0.08749439336297754,0.07079530274578653,0.09355549328274212,0.12847103079246197,0.09618768291846054,0.03631045139415341,0.0943226310614216,0.1035965701796831,0.1707484288868774,0.043988246716815387,0.13566942461142864,0.08043442032790318,0.06630730980773238,0.12531451558347292,0.14627927135475424,0.05815758188819692,0.22197154385146695,0.06730246268570435,0.21372728270214345,0.14552150327274327,0.17672865777031105,0.07402903104656766,0.1220523950612668,0.13618893221440295,0.051260926146686245,0.08934831522105373,0.046500769871198305,0.04575020173556667,0.03137951565048792,0.10274083765747238,0.06983118946092756,0.034827809198448315,0.06470298346251202,0.0662171252469954,0.08489298562567826,0.1155217357017681,0.046615064817930194,0.11827881817696803,0.10226648626037442,0.026105094803292993,0.08887009736645285,0.07122881332016187,0.06161718158861647,0.10179884025225956,0.05519358922910432,0.06568506804753817,0.16025878440786925,0.07799894991908249,0.03235244878489197,0.06689837179081728,0.031215630690252846,0.038529751711184106,0.031192032901859457,0.029425352206273035,0.04297010931584709,0.028492805764623527,0.060161764927079725,0.034304405163128604,0.04275587368899013,0.08479753412082704,0.03890701836641487,0.04951140492270432,0.05618888874518604,0.052414554282778886,0.031595549154916164,0.043370092966872144,0.02621228476955915,0.07373087977806908,0.02437038782924433,0.026219708365141797,0.1740609973451498,0.0894235598988369,0.03401159145519994,0.03496783523411422,0.028973214766133897
+86,0.2567143706729614,0.13875581081415478,0.36924913961424455,0.20005760297092828,0.3161938418171651,0.13604398609284438,0.31126855181979335,0.1999027013421164,0.16879098425883501,0.23427136557586872,0.23202505872188736,0.1003661018393386,0.2957016666747231,0.21201250450454837,0.1954950396094265,0.3084362070759431,0.18277372214932927,0.21651459214809757,0.22180965203859832,0.2070587996723976,0.2554082011437683,0.25405242938248235,0.2193750323616618,0.2038182467812467,0.32740200208799486,0.3536583437640517,0.264377481832501,0.27556279742936,0.11362591293590749,0.11368252618711691,0.10466899868976023,0.2441981554840629,0.1297696104437714,0.20446523715793927,0.1454481461461359,0.09161664562603448,0.09570328923941299,0.2009752944429316,0.2830031486990806,0.11425026116458202,0.21007779336221813,0.2397792406658764,0.14958175503362695,0.2739813189439894,0.2448050219798949,0.09438804319918179,0.07805948606081292,0.12694231552814025,0.09378982719667589,0.20918419350359074,0.23258723148221755,0.32053758110609437,0.2763618222708425,0.25709610789803644,0.09616344210038329,0.23533473241708056,0.12829318948222662,0.1045256277645861,0.21823244137556164,0.14909380921428236,0.12719871336054386,0.17537206711384143,0.2154582756240733,0.18082810867055576,0.10673595982036357,0.1372531948493627,0.2898901937432832,0.16392738958822686,0.1491560293552704,0.24614981880163983,0.17706022820540568,0.16315562999150682,0.097131508766904,0.1184127549193968,0.24294972416084826,0.14513832985861735,0.10078392857690248,0.18611229457435094,0.12380052817367893,0.17847612974160698,0.2443235922865061,0.21231049380989175,0.1486575090927693,0.17213795136608304,0.17452916504825822,0.1755243930675278,0.08984963115656831,0.09981940719521479,0.30126945169206343,0.09154590688552366,0.10547932335448758,0.24443755184118288,0.2201683794446167,0.17517073813640924,0.18884651410193018,0.14751153186878296,0.1392510550125964,0.14503373994871185,0.13998392020685257,0.16580018039247593,0.11244277530128759,0.16768402650305703,0.18964698438187344,0.10498907280727161,0.11613463815144011,0.13440514883449586,0.1386434664388093,0.11940732409363533,0.1368805411754812,0.14055317606611611,0.16651703778106924,0.15275585708313705,0.11873139124062629,0.12285479547981656,0.13255461003545776,0.2279242024875804,0.15679671151249858,0.13321554761245782,0.18863375997471304,0.12302838527903633,0.17194637357998788,0.19717561967141134,0.22442311343320814,0.20467441617944726,0.19053226425669062,0.2384674328008561,0.1324330012401313,0.16381560540487067,0.12371262954379719,0.1308066252871518,0.14418669608977075,0.10682457908916902,0.2425608212203677,0.15321671493099584,0.15947248394295388,0.11149037861265026,0.24369050382943383,0.1527394235562875,0.0950270980739704,0.13468893873408305,0.13245888617958385,0.09091014884129553,0.14974343971599824,0.09798385878508806,0.10359820410530673,0.15067485717576673,0.10050457967852626,0.09007901383869674,0.0911514696365567,0.10155493184861883,0.1342047672999845,0.11582098168617304,0.15118999673062078,0.2865040420218693,0.15116152219214263,0.22465775540762084,0.16317148637691342,0.19522312776869497,0.09519137036838726,0.17534294734385591,0.1164870158538525,0.09394770055885567,0.10597899296512335,0.1012430658071616,0.18339281378799405,0.18245566304101632,0.21194709247964702,0.15422848766663605,0.12123694127755913,0.08749439336297754,1.862645149230957e-09,0.11274255582268684,0.12491520426220679,0.150093531819631,0.12722866740680558,0.07449185080281098,0.1234113825025707,0.12803853013413496,0.18864001663080404,0.09603711076134898,0.1591704129235938,0.11415550382296694,0.1091343469968823,0.14761467602995867,0.16212379676006017,0.1022717915425112,0.23359986917216477,0.09930489670569488,0.2261129000724535,0.16220401203320434,0.1972430088295516,0.11081573296339613,0.14821425461000254,0.15912162072978292,0.10035576425962316,0.09144864421534445,0.09616917897503514,0.09412067369799987,0.0905194704810131,0.12969994090318554,0.10372260225128657,0.08619161998948753,0.1019589423909271,0.1049956960964446,0.11291760444939719,0.14021088984953406,0.09207642332339265,0.14160411888808083,0.12335239508466049,0.0918907842431853,0.11563098119102695,0.09401714337446727,0.10151297480995321,0.13304175057476575,0.09966433453289267,0.10403499779433115,0.18019922526159546,0.11691719869208587,0.09200552321336795,0.10579999237055808,0.08448851771989713,0.09375115977427873,0.09089718693645518,0.0903264281816098,0.09684642102820311,0.08904636729971267,0.10540845079488591,0.09213485707864778,0.0959570212849604,0.10433682318445205,0.09273974351994256,0.09973261354341176,0.09924484782067601,0.09776032947303659,0.08882504181112974,0.09666207000870881,0.09199015158411254,0.11251405928499252,0.08689471446206254,0.09202163489137331,0.19013414453164262,0.1262224206053791,0.0893022904698283,0.09091019930098553,0.09082129246228403
+215,0.28678480018644537,0.1065024938116086,0.3558805512320052,0.16806945915311214,0.2953062567503131,0.11397774091475338,0.2741736299401645,0.17991891773171637,0.15250232074540393,0.20392405511859796,0.20921496226094924,0.074873976620294,0.2810554772099281,0.19884149850165783,0.17479502908341651,0.29935650771192407,0.16506991625453526,0.1947156098971355,0.20988277139259412,0.1864898547357905,0.23227952712527075,0.2295578434903941,0.1917387819027818,0.1714497876247962,0.30326073358679784,0.32555216676234766,0.22826418259506448,0.2318636845237042,0.08764684152302446,0.0776313447096125,0.08423850381804171,0.20974390609302568,0.09629746537516569,0.17426282606971025,0.13672579880789235,0.0650764461878515,0.07503228403142873,0.18092709485631303,0.2626767854523915,0.09987890173024548,0.17735260506797124,0.20723629492415815,0.11554298362514202,0.25747837397793655,0.2185926880826848,0.07172025108490424,0.08385821627258803,0.08020404030786286,0.07434172535434806,0.16663483437082355,0.22244543135640105,0.3034670371056537,0.25923273602489505,0.24457034950911458,0.07978790959367468,0.2624077216918077,0.11384871203683784,0.08783025378926361,0.19082665290997897,0.1199754616382031,0.114072727012767,0.15242854084022595,0.19971658648263618,0.13394855871642977,0.05553503287356226,0.09382033426943062,0.2586858506313335,0.14246191100496283,0.13049787635116744,0.22466807168756003,0.14639602285821932,0.1397546671287451,0.07934037462238443,0.16678403007826287,0.20190437737786215,0.13861715685278683,0.08194262517690112,0.16336609446548717,0.09778375087034491,0.1521613132462246,0.2150117096504906,0.19658447629790135,0.1332412698168126,0.15274091481091528,0.15400525175939794,0.15734214758610868,0.08049540430162051,0.08607017217877418,0.28553832667342693,0.07510943476465029,0.08745650825518304,0.23220717667565674,0.20005214675939192,0.15779635490023908,0.1697699555795772,0.11676063777994665,0.11299435483815584,0.11607574053240484,0.11006996971955267,0.14920856934020008,0.07786622964435777,0.16173964723404755,0.16993623076675352,0.08206592506584819,0.10255276313320791,0.11281613926352822,0.09803846230857131,0.1096547407489316,0.138576702774737,0.12134580139268336,0.1532557626475323,0.12381302088950652,0.10193947592818117,0.10299051178624041,0.09923544098784107,0.21415267758031756,0.13975928936564402,0.10815903025840459,0.13986102540835593,0.10456346087870329,0.14003796867653606,0.208618983442787,0.2417002578736559,0.23602017399526493,0.19462843690102813,0.26249787493389104,0.11771758848589017,0.1538876863761979,0.1008627164494463,0.10830251944822111,0.12507046552247733,0.08181594512493619,0.22789049541562675,0.12834837343395786,0.14277645158134705,0.1353841454472116,0.2744715546108528,0.15481500636322523,0.07672471449659568,0.13184066710463568,0.11031775969738981,0.0722428306507281,0.20179409633079665,0.07616606925310114,0.07526866471169462,0.14828950071268485,0.0824978627877532,0.06901847387959213,0.07555361680005745,0.08176212955635409,0.11635000451542234,0.09662872438377323,0.1294448153914673,0.2688704252900598,0.1296732522700544,0.20422696128470766,0.1231908270841866,0.1739128865456007,0.06890970432090616,0.1724980891660667,0.09717288085436863,0.07251279085260226,0.0799796735461273,0.07833743487881675,0.1674064507986975,0.16826384212272222,0.1987100584122432,0.14010357287922107,0.1019581244367746,0.07079530274578653,0.11274255582268684,0.0,0.09968352136656201,0.12547562435323736,0.0961848934554204,0.07315988739070904,0.09395807804673535,0.11234195290194138,0.15880132547086437,0.07021466070477997,0.13146042931283164,0.09401146186994563,0.0684297035899437,0.12961144973932825,0.13193680936738042,0.06698792188448022,0.1968083320636079,0.08691358972296882,0.20846295991662467,0.1504099856427132,0.16436660885000706,0.09695722840476112,0.12026511874977037,0.13430087524237166,0.07800380295379937,0.11184872214884088,0.067181666389228,0.07156548995628259,0.07097125782742861,0.10797331651625908,0.08276920417938116,0.06766805846832921,0.07786032697192362,0.08673863607836628,0.09690483161456957,0.11363526470425613,0.07829177685697132,0.12251911202695702,0.09921809237853554,0.06691377730044773,0.10259168722386466,0.09483312016168421,0.08428142913935135,0.11274562419833999,0.08527795772326163,0.07588154444835216,0.1625978718113697,0.09963716243000434,0.06996794239074716,0.09490417636724768,0.07071302770614565,0.07259823406620357,0.06722231742960816,0.06928662913223477,0.07214285801417498,0.0666819237977489,0.07965508694755291,0.0710446457501825,0.07587791233459518,0.10772889072458804,0.07286098220739856,0.0640654886311627,0.08452504018278902,0.0769370769417636,0.06679076684131549,0.07457430648137456,0.0669089319492539,0.09575983789941546,0.0673631260348717,0.0672176018280198,0.17056812723031106,0.11507746588329307,0.07109557314601636,0.071748867220079,0.06834186268001083
+272,0.289394786305444,0.1273621822585686,0.36090422512121784,0.17203883149692203,0.29490636673999177,0.10312997337375764,0.2846976557538823,0.18413251719614698,0.15052498667771508,0.21562391259893432,0.21734873852585707,0.09680404237892866,0.2814389672126046,0.20092583487491666,0.18288609383269924,0.29937089144679013,0.1675407085069292,0.198641099462734,0.21443145272855504,0.18809831073278396,0.2246120125910076,0.22900013717739345,0.20322673049601067,0.1789223117858515,0.2996092845726327,0.33656496680068076,0.2187570302889639,0.2439609425136688,0.10175940567274493,0.10578302291755759,0.10587562323786222,0.2041517918902175,0.109667767093172,0.1927937124498432,0.14849464407640078,0.08895204537703613,0.09276362867700952,0.16825097394805297,0.263629366312015,0.11229050527291573,0.18177018033017006,0.19119229185753556,0.1180514836818654,0.2663765190092354,0.21505726051583512,0.09309337619956498,0.10398500084173591,0.12075878369491698,0.09992006047664712,0.19211225072619595,0.22791794168394436,0.30948890984128863,0.2680812931126386,0.2532254494955906,0.098664754162169,0.2662557908025302,0.12422685102363776,0.10865722678820058,0.19358153260819042,0.14297789497696173,0.12324338690759433,0.16094853882491952,0.19003209544058133,0.16232528396321572,0.08244879087566187,0.10747341095276099,0.24294423145594585,0.14468115607354945,0.1335467804680979,0.2041277478610419,0.16379322296450993,0.143150369642689,0.09984883984395311,0.17145539307640892,0.2134902983731115,0.14451195907760547,0.10373342138842613,0.15779992235939877,0.10791312103231214,0.17272893439197287,0.21699422381487132,0.2056187220343685,0.1495876310843056,0.1644219085920797,0.16733779813955027,0.1698541627814803,0.0974344542577511,0.09736931877503247,0.27613597074938645,0.09554413885998167,0.09855687587896445,0.2358279070157446,0.20722330395493663,0.1611916560688672,0.17199875974018097,0.1292727149384984,0.12235894037217314,0.09251742240552538,0.10318397856621807,0.14881762321627923,0.09174514301078827,0.1619257876905268,0.16319662987899192,0.09045868708937446,0.11702976277501029,0.1139017420717515,0.13781878663349398,0.12323446769378946,0.15120295738764433,0.13154763565696653,0.15834671994297606,0.1202696679860247,0.1180340744796924,0.11448939850225727,0.12432884706223198,0.22165508987500046,0.15114014401232234,0.11994618671220506,0.1494583278432229,0.10627799967657366,0.15737127650088925,0.21678342677120002,0.24809328674309147,0.241130080064423,0.2012507690067293,0.26613227751758783,0.13211215772119345,0.16480003370534763,0.11419528837423619,0.12391387749260956,0.13995997330572715,0.09808604063100287,0.22996744490127033,0.13956943534527463,0.12825312655246066,0.14665427769691172,0.27848763007124805,0.15424441077861856,0.09947435410827914,0.14177926570249866,0.12327815102148615,0.09472944336694131,0.20559601473728872,0.09599831014523591,0.09766329744438647,0.15624670781389016,0.10374752359011333,0.09292229027353573,0.09489213721805877,0.09091597271245523,0.12568029225511787,0.11455700008735448,0.11619574454512908,0.2641025016600802,0.1226792053831587,0.1909075967704016,0.1553345590449494,0.16815956899536047,0.08741080174173547,0.17817884982915666,0.09147917415786767,0.0927633168074395,0.09319420391849882,0.09350423237555316,0.17361995930989027,0.1739536438200823,0.2025919294755238,0.14828376351459963,0.11498874182115557,0.09355549328274214,0.12491520426220679,0.09968352136656201,0.0,0.13335042236174804,0.11909960142996509,0.0954100072629986,0.10587846779329278,0.11583752469084761,0.18032806516962505,0.08716341208955775,0.14539535858953676,0.10774641664332239,0.10220341597333174,0.14185789945368177,0.14798596378351117,0.08372686979111219,0.21326314214370512,0.10474728960718985,0.21161321665675364,0.150287901386216,0.18835420913443338,0.10838643529119085,0.13333565025299332,0.14739751440916835,0.10270691666796262,0.12473430220653274,0.09900642823266184,0.09106205830499069,0.09469410486309723,0.11588409623854153,0.10780475380327081,0.09098195918805242,0.09768846585409235,0.09364176942945907,0.10118512434527133,0.10941086114864049,0.09489792183871147,0.128160841278992,0.11049140070242787,0.09221885666916874,0.11637595577189136,0.11363611616144086,0.10407613099204407,0.12270031694860481,0.10319318212322154,0.09264464189460211,0.15021896620036715,0.11251341936088317,0.09468426661399507,0.11190624694459053,0.09285482401702859,0.09475198308254958,0.08535903429624639,0.09270160679683924,0.09602696177127865,0.09235223047943986,0.10240023307034028,0.09548413516511166,0.09832589770024519,0.12250274591907373,0.09465627081346224,0.10022135130742675,0.1018280999404713,0.08938140424374845,0.09351083780275145,0.09548009093753046,0.09233206527459978,0.11499092879337422,0.09253846491179891,0.09240118364347334,0.17364643539791852,0.12965681429375925,0.09260894823592172,0.09446284912610696,0.09205537007049389
+257,0.3029550766292183,0.15024783420324148,0.37526966968159436,0.18379993590531285,0.3000408376851558,0.13242660903864434,0.2758882946121895,0.20267217345431143,0.17171393233524226,0.23676709085781758,0.2372932245093947,0.12579080480104304,0.25489915136492286,0.21481678293443293,0.20081809412201485,0.2665743064983943,0.19159646048199935,0.2167121853232526,0.19318260188010447,0.18967477734896576,0.23026956201978668,0.2407919825200678,0.21899844224389975,0.16359457009808923,0.30352225715857545,0.3491569126240631,0.2150109803057018,0.24706654884010656,0.14106193974589237,0.13787994971465975,0.12934324910357795,0.22117068636012252,0.1124115306611978,0.21478419110896202,0.1720072593983585,0.12458046440064455,0.12179053064915733,0.18976140235107203,0.2799257834117117,0.13651142090529728,0.16689433966934997,0.21996913714140628,0.1582337037159289,0.2791580635280711,0.23106821739490854,0.12423346581308888,0.13380338724500107,0.14041095837132173,0.12867465969143593,0.20148360579115618,0.22296407298681087,0.31997262033647966,0.2805605009662698,0.265780185268701,0.1315341863570828,0.2755568384289503,0.15153157918341548,0.13983302753182247,0.2160278973296894,0.15622196042444453,0.14520115564902167,0.17339548019608078,0.18783299372397988,0.15027240039903067,0.12314693989511898,0.13276704787308838,0.2660466344209637,0.17813614133374203,0.16909046916375428,0.22654201349862604,0.17912789490804712,0.17185556361255308,0.1291447494441521,0.19514304423950657,0.2154880154744032,0.1568331544755203,0.13575258786711533,0.18302177521770227,0.14709082213765828,0.18221928595840245,0.2052772009870313,0.2245365512580899,0.17262177438782111,0.1800151840868474,0.18577684845036294,0.18881667815802394,0.13275521681355232,0.13565075036793728,0.2831190520781166,0.1275439467149007,0.12362546455077683,0.20561917874592173,0.2183905396984349,0.18391586492666287,0.15999742755077867,0.13919157367619175,0.1525312805698573,0.14923580831411448,0.1423562926808842,0.1735889198625049,0.12521501399046836,0.16713468250103874,0.18852666892323622,0.11871763312444772,0.13955205655196457,0.13696714938181104,0.15501521317565678,0.15050109466435188,0.16997874455296744,0.1426800727334891,0.17234705668320852,0.09482583318629594,0.14141118711823897,0.14960924933583258,0.15461390810270345,0.2364227838284726,0.1783966858113154,0.1453313163171546,0.1710938929926977,0.13863281914375358,0.17526680126350028,0.23215440929332795,0.26191534729547555,0.25697082557372014,0.21118525320470294,0.27797833412450146,0.14603234265843554,0.15880459238510083,0.13487715139630313,0.15028472628514353,0.15780626343872908,0.11230589538652891,0.20262902919680226,0.14539004492063848,0.14274158951294533,0.16877668154811684,0.29186083827702886,0.18001880601347775,0.13074080629886597,0.14959018018271222,0.15019496026369245,0.12611107791517853,0.22320170489916918,0.12111125288166504,0.11616287449033331,0.14789151934682937,0.12743840410394203,0.12387052062842178,0.13101490816343064,0.11996070982944906,0.1484529952477471,0.1448436038810387,0.1607706786815753,0.24383555302003543,0.1273788910349572,0.19473273215821477,0.16593882408315733,0.18016879608597094,0.12507198871826375,0.15469149284928516,0.12471676626051732,0.12562008640620284,0.13505941488306616,0.1323307285982823,0.20109278095457217,0.199215209045979,0.22626057135442645,0.1763418830620876,0.1494836744245358,0.12847103079246197,0.150093531819631,0.12547562435323736,0.13335042236174804,2.634178031930877e-09,0.12433652136940923,0.1314587352526666,0.13734994115979754,0.1360915169378696,0.1939385533043542,0.12099639353156896,0.1057224489412847,0.1282706527487096,0.12815001333224188,0.1131037105485011,0.12993067859539176,0.12233068802992023,0.19196802142436217,0.1369690482473619,0.22628974828396325,0.17257585967552744,0.20583751927774488,0.1261560021732202,0.15697523491417653,0.10622882417664657,0.1341591065379535,0.15380441748979062,0.13082444045407898,0.12408967981108202,0.12878118341000627,0.14192507105052352,0.14038191840420264,0.12810597360378992,0.119348548115811,0.12640455606945286,0.10004090272390401,0.11911524106669813,0.12138932436991023,0.13652723087782123,0.13156251816753128,0.12867532090170797,0.14421413065406538,0.14347645417444746,0.1346006554307325,0.15590803182699273,0.1342057862127569,0.11785568181428842,0.1745455601320612,0.14015725182361694,0.12673516064517157,0.13689385875111704,0.12854502160323486,0.12380703387959009,0.1241075353226961,0.12837175958849445,0.12915951883713422,0.1261418160245809,0.11447403908926918,0.13118884492031038,0.13245191094198294,0.14892665981499334,0.12466137692968068,0.12746839958850123,0.13202414169738824,0.12397220256765382,0.12503737290381334,0.13059456790946128,0.12894143850469117,0.14135959260165987,0.1286899906544479,0.12775849112441567,0.17081494853614337,0.13395442709182398,0.12813966687285983,0.12736570759077961,0.1274246850003816
+61,0.29445085083488093,0.13103560425181077,0.36193090475354694,0.18013946991433324,0.30057247942941223,0.12826281268396933,0.25369788740013643,0.19148539170866924,0.1639204035544651,0.1962829296806228,0.21994799997194003,0.09960738556606911,0.25948771396984593,0.21030499801001562,0.19106079134782966,0.2778283480520838,0.17887668059109052,0.2069487144183545,0.19572340305070615,0.1924203565540831,0.23127659045422794,0.2396403695860407,0.1961405778078927,0.1787718631137377,0.3078143681380088,0.3207910437808972,0.23539157452564846,0.25280262026631056,0.11154811890984057,0.09422234911970791,0.10419046570238022,0.22502510778242504,0.10101571082033324,0.16897106855617178,0.14288850414617962,0.09355514154170998,0.0962337908108095,0.1958265445659618,0.2698018065054645,0.11787827699872168,0.17435166556102705,0.2254120936225654,0.13966073980410768,0.27114476479596394,0.22399077521734492,0.09631661702081165,0.1055658602611946,0.1257250478177406,0.10285947620504371,0.19859922106328454,0.2145013971264358,0.3157758944831617,0.26765955267352426,0.25627869794294245,0.10408167664690797,0.2693102839084461,0.12901197921430338,0.09868511272497907,0.20339091492369132,0.11873096082004743,0.12264096899682411,0.1676781516437963,0.19959571013350233,0.15173660525346305,0.09709311883009888,0.11396364879929316,0.27444382840373516,0.16123919922273597,0.1475431110574271,0.2373404613769684,0.1442548056169595,0.15494065829710543,0.10252199178718581,0.17496286751877105,0.18796393626071403,0.1456106798429247,0.10307071820151088,0.17613694326210064,0.12450903352553407,0.17558116714238475,0.21008305013901216,0.21078626093178296,0.15264021712823178,0.17142705400111655,0.16960511025470978,0.17286415051465184,0.1046199204319341,0.11112546019803708,0.29129972443969004,0.09719365093091781,0.09749507181110298,0.21107344860643126,0.20851680744121243,0.17338563949639466,0.15871528236668253,0.11490905191201416,0.13378652791812143,0.13942224269340656,0.13128748448499494,0.16414137400389622,0.10546672854253457,0.17010218112740305,0.17823420050680439,0.10259224000750802,0.12169806352694802,0.12841214245648533,0.140855947897919,0.1275165101520308,0.14888929347991883,0.1399250925235888,0.15989630493502544,0.13563739671836839,0.11671063481009672,0.12364091173179545,0.1107056154648187,0.2277469769810684,0.15804731503989009,0.12632748080965747,0.16368043891973325,0.12256710565648003,0.13433787883767864,0.22070798890969295,0.2523686240474776,0.24560841202648856,0.2045043742263635,0.2701473531487196,0.12364063482863391,0.14713739292981656,0.11475497349439684,0.12609620901483598,0.13607162377849066,0.08613520818005499,0.21003537187087506,0.12415485512316776,0.1525083401427596,0.1503317004682029,0.2826349890900057,0.1672661887701655,0.10567186308140972,0.13959102580977792,0.11411858600219073,0.09018317454941456,0.21069498403420064,0.0965013867202021,0.08502347675322018,0.13632917245604093,0.09389978312858889,0.09476000455999838,0.10119030547003521,0.10235143797503135,0.13615615053226798,0.12021427556295994,0.1454454592690008,0.25504159443620106,0.12867023185054138,0.21243421931777617,0.15615609450053325,0.17642766818478803,0.09307428289887988,0.15568502423067362,0.11413166758956084,0.09895620234419861,0.10618855545276315,0.10335699811524739,0.18244658738025607,0.18237828329969308,0.21151766000900327,0.1523265626652104,0.12149600676668544,0.09618768291846054,0.12722866740680558,0.0961848934554204,0.11909960142996509,0.12433652136940923,0.0,0.09840089627966489,0.11982190556374611,0.12062292792315295,0.15175633507954156,0.09222042803747105,0.12828031341884763,0.10816609765716036,0.10843325669662286,0.12440153247918166,0.12802325334063216,0.0991368965481514,0.18114593579656502,0.1081854026400217,0.21696853673253397,0.16181869209764305,0.15467322182998136,0.11245313968189682,0.1348867711687563,0.12952154329739549,0.1005319502448376,0.12814194848349703,0.10182337160853396,0.09717279206000862,0.092713149372248,0.12293874322048948,0.11157636887709127,0.09586339296926746,0.09259975922772447,0.10686551275486775,0.10492327866957851,0.13122364671840753,0.10151959767064704,0.13111542436726112,0.10289715084047077,0.09475318978504195,0.12370496660582044,0.11617830832189974,0.10848608837844068,0.13222579583197147,0.10345028411868375,0.09939270764470429,0.1684977040429521,0.11564577485192336,0.09222438607482457,0.10935989122485652,0.0963306316372216,0.09887773703545277,0.09264286052106467,0.09629901574185777,0.09983548814654705,0.09506719581603809,0.0825108906354505,0.09759006836487007,0.10116984495148348,0.1204398680663011,0.09702606998939164,0.10318832679988592,0.10683466524911893,0.09634568957685016,0.09402419655728635,0.10009766278329496,0.09501895428794732,0.11663808402371317,0.09524822142852452,0.0943686791766968,0.17837598968410748,0.11250365315569437,0.09777027530483251,0.09409311422649798,0.09520537434553261
+308,0.27340196018756363,0.1148251690542847,0.37150465783017883,0.18475300090506905,0.3146981506144937,0.11781839128585486,0.3051957794847587,0.18771777505496026,0.15520523342267745,0.22203420110854635,0.22021923382704467,0.05635563335230825,0.2892188278155563,0.20051459728841892,0.17814990264932035,0.30537287852514183,0.1644866400689827,0.20070905155511592,0.21082403470285024,0.19405743171813952,0.2468540058513047,0.23948988170832555,0.204977479487352,0.19123850237109555,0.32489020557313264,0.34789926587278364,0.2564001133683305,0.27016791420973196,0.07694869485797742,0.07438950213774446,0.07255737578391108,0.2302066049347309,0.10053608908507297,0.19286393171244048,0.12214901676620897,0.043958215826029864,0.04516751201720883,0.18784618629720304,0.27622511982731973,0.10431436378543324,0.1970355540451265,0.22790216545223124,0.1254304517390991,0.2629398729869665,0.23910015253686764,0.04703442864844888,0.04670954306788009,0.09480430332183765,0.05551792506026571,0.19612247844835873,0.22473249093828127,0.31004947060825566,0.26452392917672096,0.2447808591037998,0.05411184690951766,0.24922172096308765,0.11226522949988528,0.06524341656912602,0.20478319107201914,0.12622129715410682,0.11214479574541293,0.15447667074703542,0.2096335624849249,0.16543016433477759,0.06729579303472065,0.11180356416303588,0.2792182921370483,0.14400766276641588,0.12519146134605455,0.23384919207985236,0.15819891095472502,0.14478735810985957,0.052037715243782166,0.13601382716008584,0.23123070709086896,0.14418266861855572,0.05351361952669718,0.17050408384451027,0.09459114563933123,0.1680920170521229,0.23930403007336074,0.19536841777371555,0.1304699008557979,0.15521143230106044,0.1536076946119666,0.15775595101997958,0.05349124011760254,0.0686355196373259,0.29616348262731573,0.04130971809205843,0.07999474101697163,0.23463109001178659,0.20739510449153303,0.15339787310554395,0.17680853953395065,0.13251353354096476,0.11320004625943136,0.1175047102818255,0.12388396263066496,0.15852959878677736,0.07539015998650173,0.15632553585042738,0.17187204854115645,0.06690124079492196,0.09516566550593296,0.10948994959313348,0.1151083499663379,0.09424665496734198,0.12870629533889624,0.12644148611765396,0.16218002245881788,0.13152987776340647,0.09141113160373784,0.09681508086393448,0.10448972752301751,0.21374883605870595,0.13530958701667656,0.10511641049082866,0.17251934688754667,0.10127691450620555,0.157565401341842,0.19516639749545234,0.23007810563965814,0.21943696884121924,0.18751426460882686,0.24807686127465897,0.1081417490911026,0.14564757131571685,0.09441501434604804,0.10656203247360194,0.12181265762761838,0.07044346967591035,0.23372275288386019,0.13801815393058026,0.13780713583151916,0.11110013186052627,0.26039694555762993,0.14792073176679743,0.056982953134277196,0.12198546635551914,0.11118843284532165,0.04083574851817302,0.17979785239197393,0.053036692666392715,0.06917825518348837,0.13912394358939748,0.05981630595323232,0.03780191983275784,0.04755599941231366,0.06232141418368847,0.11589222189770443,0.08559301807618198,0.1266621790481362,0.28253986896314415,0.13497168670780177,0.21770823823555452,0.14153091827968642,0.18201199475029098,0.053839288547044735,0.16725171261817515,0.08430376968898864,0.048201585862484644,0.06280488360025473,0.061268290401512195,0.16266461350783495,0.16340610212251303,0.19616778537190752,0.13298069142565794,0.08882715819267419,0.03631045139415341,0.07449185080281098,0.07315988739070904,0.09541000726299861,0.13145873525266663,0.09840089627966489,0.0,0.09603768962134131,0.1064802632501313,0.17250857928846688,0.047475409363767464,0.1373480840107997,0.08283494862503107,0.0683818308125723,0.1282330808652521,0.14843560100578593,0.06119870889689742,0.22414624429545807,0.07105916236153906,0.21397306661648613,0.14592402286632883,0.1787121040419088,0.07741619606500108,0.12382955138257515,0.13852362575644628,0.055036719434081546,0.08315349156763345,0.04597344483823494,0.04799601614620942,0.038942656962819906,0.10676017265533719,0.07013110421330235,0.03901932159935721,0.0675334150866254,0.06917533697579095,0.0864153405635026,0.11704868450188019,0.05166050660988314,0.11991996565847253,0.10688398893580651,0.030552309659304173,0.08907027317590746,0.07056729825274635,0.06274131015807739,0.10381477800220412,0.059502415571243854,0.0694815042746257,0.16265028317568098,0.07977768805820694,0.036369350820251514,0.07313607689811195,0.03671163126074097,0.04166496303818236,0.03830727494689364,0.03446194909073676,0.04562520993893963,0.028253536494296634,0.06326264939736935,0.034414563317259235,0.04838445084340289,0.08337597702651055,0.042852067439679314,0.05208235855626084,0.06028021026291404,0.05406646757027025,0.03253363263855518,0.047191588545876836,0.030480190452837546,0.07541149677265124,0.027987929088618337,0.03152984276151699,0.17662261302690996,0.10205027010321828,0.03915768229122958,0.039332989957579216,0.03152367958384484
+67,0.29040136690969803,0.12209490747005959,0.35633429390662086,0.17495562832558406,0.29462929516401076,0.11771333721890768,0.2874991202037551,0.17862419777229682,0.15413350404247092,0.2050146534538294,0.2203383017498502,0.08495142860721314,0.2819221703404969,0.19810374755864457,0.17334790256746846,0.3015606248730358,0.16810878116555353,0.19420678283051898,0.2159232797463011,0.19011149071876238,0.2294657276818445,0.22391739917352715,0.20542524215782995,0.17524619815093537,0.28975004642789737,0.3344283785241459,0.21643349397937284,0.2509847743039344,0.09054750148790805,0.100566708555393,0.10762475958630456,0.19015090626760453,0.1138125272610436,0.18968958388114027,0.14314523489562528,0.08752880141541577,0.09312238320018537,0.1700384278541381,0.27016115349605985,0.09767635184364472,0.1794596427041073,0.17713991662180048,0.09593822067161678,0.2578906956272518,0.21230416984657052,0.09644326816860012,0.09147348321217819,0.12281077278108207,0.09645861281993964,0.19659962851616372,0.22201210606811708,0.2986287591480408,0.25776655129895587,0.247830591477674,0.09636555757289253,0.2662713890440007,0.12733947396402606,0.10733873117473573,0.17833253125465268,0.13478951882214094,0.11441360950425102,0.1534012705009861,0.2003213884333923,0.16557213512729574,0.08752807873661582,0.11362896158556211,0.24180160594092495,0.14747081339730903,0.13107129903980774,0.21152780726197074,0.15547304086091024,0.13639212086829594,0.09976512312624419,0.1710259488387487,0.21704171582619985,0.14870336246579635,0.10327719066901163,0.15057895676070768,0.11265915331459386,0.17607426649648783,0.21568219170957748,0.20263875894699526,0.14626964982083054,0.14581572413705515,0.15626904427298843,0.15914215646103647,0.09874031706278474,0.10709428171533765,0.28850068268113455,0.09372733939723578,0.101620410374105,0.23758782634776307,0.2096881848548876,0.1653577545435136,0.17920573378575883,0.13222786493883404,0.10455486130805869,0.11340484000974464,0.11273593408533113,0.14751410227542147,0.08309566650479064,0.16159867384810725,0.1709000553006901,0.09823297915548548,0.11573191346229748,0.12650126196774517,0.13826851805208845,0.12262106958856937,0.14472490156027268,0.13487294747991024,0.15966838760386468,0.13547310512052144,0.10825019431045274,0.1096864335550139,0.1120266018836808,0.21630957386535385,0.147712823026094,0.1173685712510474,0.15644135031764253,0.11349771862237511,0.15755548324773586,0.21357340857952292,0.24798432000073717,0.24232577411249095,0.20205770763280279,0.26765071211366875,0.12600004568850393,0.16520918356324418,0.11781464213319777,0.11459822757522663,0.14016891939449702,0.10410107931569944,0.2283266023048353,0.14797737965686023,0.14301605031658585,0.144703144702478,0.278088090196368,0.15821085455651204,0.102167532085771,0.14280920639298947,0.12884720092661991,0.09547733211435559,0.20698590236979927,0.09436127767900043,0.09840069717939905,0.15445686636100497,0.10310000859930939,0.09392327916712913,0.09492833270075378,0.1006682893028656,0.1372794388804321,0.10409441095884411,0.1361943833646877,0.26654830330035184,0.13025386274890036,0.20888736009102157,0.15544675855011958,0.17364000796806212,0.08980076634017939,0.18089541477513182,0.10347075189166244,0.096790411080939,0.09780292081315627,0.09700295841652319,0.17408970867547519,0.1739255892024453,0.2041793871464392,0.14160832057935427,0.10616639082636571,0.0943226310614216,0.1234113825025707,0.09395807804673535,0.10587846779329278,0.13734994115979754,0.11982190556374611,0.09603768962134131,0.0,0.1200592485828419,0.174141624164246,0.08840134754878001,0.1498869312870014,0.11006384615825474,0.1046366175795863,0.14430949378388358,0.15077569559283976,0.07582165780273961,0.21286192322561265,0.10251850701555999,0.2078763517725311,0.16041459151235138,0.1843286269365002,0.10970297870839603,0.14048771960949868,0.1473524073973487,0.10222799643563042,0.1251772946201977,0.09834928574139043,0.09139299102586092,0.09386432390783009,0.12298633042835039,0.10839577113232055,0.09177587059849142,0.09136914895167274,0.10275967323021132,0.11130906660026772,0.12374415781220136,0.09483065154249946,0.1306264002738313,0.11482400539814357,0.09172377887124035,0.11447669038253946,0.11474224958493444,0.100091834293405,0.12736722301952644,0.09704221242987422,0.09299271356164393,0.1627027900793761,0.1166574779447049,0.0931342481505538,0.11222519803020845,0.09287016293353516,0.09570664036663887,0.09021965377380602,0.09298188598110217,0.0952657128504859,0.09012297130373881,0.10148490554085712,0.09482550795164527,0.09795534099375366,0.12196939847676173,0.09230382878221469,0.09899290179091133,0.09422481535987182,0.09769313865192293,0.09258895194918651,0.0976547811011837,0.09186515167904284,0.1144117843271719,0.09193406977715804,0.09174138348991806,0.17841672865181285,0.12690716456810863,0.0942003326490517,0.09145356404232462,0.08920762216194204
+39,0.29351949891664886,0.1345638909166835,0.3604269367254844,0.1902326601905641,0.29695962434821205,0.12815947129104893,0.2853941542022317,0.184935051459846,0.15065951667113692,0.21619076624985065,0.21867651738044597,0.10084165382385009,0.28297987873390396,0.2074817529120748,0.18940110770772364,0.30394199584875964,0.16587568388556273,0.2038909298951823,0.2236174388925297,0.19698720661125027,0.22078209271745083,0.24219662902685404,0.19815897165952107,0.19138125295413044,0.31283376958398484,0.337503533175876,0.24015794503060298,0.2490239614861227,0.11573305812874701,0.11328918736040884,0.11210298064654033,0.22743611828876098,0.12869454501804753,0.1963483042994177,0.15046392032759281,0.09422518861380906,0.09759052831155794,0.18470258399236847,0.2620164557171737,0.12151310917635859,0.1938996517698887,0.21873631149400172,0.14513030262771368,0.268065907137231,0.21884653201724427,0.10242598247330047,0.1061232448264815,0.13121808683841846,0.10746699647000862,0.1990586343588114,0.22672152656034447,0.3143546283711849,0.26657864824205646,0.2534158430793135,0.10335318335855077,0.26965180866314936,0.13383662500754956,0.09732199366156513,0.2069236788429749,0.1456249885434318,0.1266782855694192,0.16278461217967669,0.18940299497694943,0.15518937528271728,0.10799457726312309,0.1322767846198421,0.27078567774804957,0.15979871367110474,0.15065868263669746,0.21484208830650325,0.1727043985880071,0.1626377622610939,0.11165794979289852,0.17791552408375888,0.2184536532408713,0.1493421680066926,0.11201493897402648,0.1590416512857848,0.12604266364443817,0.18133196002708765,0.21805996463967567,0.20865838451571234,0.14198799395457778,0.15935223455538447,0.16542722282322647,0.16974092408482008,0.10350314619497022,0.10851933952600341,0.25647452706574486,0.09746237976327171,0.10449295674191564,0.2381381954976963,0.20982492795685145,0.16885377918163022,0.17553648563842375,0.13970924020336042,0.13176906622528503,0.125635254443402,0.13141115256819247,0.15751307691900637,0.10604752492179968,0.16718721441554613,0.15801160346016008,0.10844891569273904,0.11612250299544961,0.11357325545718584,0.1459583773360875,0.1326281792230108,0.1496233080779209,0.1359655129795716,0.16944648244495186,0.13001067411945616,0.11563616182464667,0.12254836293380902,0.1304470642708409,0.21660554322647108,0.15568664700057677,0.11623358139404977,0.1677012426048772,0.10912816507764611,0.15678583538173912,0.21907605410179473,0.25047953608362683,0.2463508996772902,0.20898506214571855,0.27105832985586314,0.13158801436166578,0.16119662298248483,0.11945311644007077,0.12970452126733167,0.1472972356273696,0.10795309785857668,0.23516917956248914,0.14187842191927114,0.12275796905049571,0.1545611796327913,0.2818332328809411,0.1670222916646074,0.10769499206603901,0.14539870200968713,0.11837513738588289,0.09659081739350488,0.21226045688441583,0.09905318525742317,0.10291638197791488,0.1584449025359614,0.10282476982045137,0.10034743136674057,0.1021364051820469,0.09685706340169228,0.13279225176351758,0.12295736068097596,0.1366708262472019,0.2670308791586907,0.11183031614550337,0.20045120616382178,0.1602925239641481,0.16782510737709597,0.10283910577217902,0.17994036108470807,0.0983293354493311,0.10381565609891824,0.11287754805193517,0.1115651323815936,0.18110177634624394,0.18078978003296955,0.20946099907705942,0.15195289732267422,0.12627968259770772,0.10359657017968311,0.12803853013413496,0.11234195290194138,0.11583752469084761,0.1360915169378696,0.12062292792315295,0.1064802632501313,0.1200592485828419,0.0,0.1813759756744848,0.0969279103161834,0.14978078004814643,0.10814260700194092,0.11184670244086907,0.1410095355343906,0.14207310420101027,0.09743378176920006,0.21868604743025455,0.11457461922755524,0.2157198097539022,0.15786636805461357,0.19026618616313848,0.10265324868527556,0.14128271184904065,0.15232833132672025,0.10718296608740246,0.1304933473594829,0.1099056950866957,0.10211460573492066,0.10438500908588058,0.11669208113753994,0.10453228423209361,0.10289278147452698,0.1037287598730668,0.0882723375683024,0.11558617979831316,0.13576631574417533,0.09356375614868305,0.14090811409510032,0.1193842091696766,0.10350407281131552,0.12208837110702035,0.1189930754836069,0.10735027684650567,0.13325614485107592,0.10711731645353832,0.10401471902537593,0.14690482042123265,0.12670238044599316,0.10113242563049664,0.10733780171737722,0.10014055860892622,0.10404225299606899,0.10041922620352726,0.1043877211000583,0.10480489437847862,0.10198947855615648,0.10052704735437425,0.10151738084277172,0.1021357760198251,0.12573451317908751,0.10441399526387297,0.11093561328941023,0.10079647485987069,0.09076947989905136,0.10137397373978892,0.10313710069683035,0.10388508603194745,0.12392532960366312,0.10341798767853601,0.10326970329667957,0.17781194292390415,0.12118966855796538,0.10099172429354535,0.10203485982309098,0.1012669110842789
+43,0.3171238478497452,0.16866181311155035,0.3349069256958491,0.20596165598823096,0.2969054369336882,0.17228817490082074,0.21331957803053622,0.21152650006841386,0.19732530924434283,0.15497933502150796,0.22965201099584237,0.1681104585963134,0.28833835821073733,0.24182093407496277,0.22013350414780525,0.30902155199564274,0.20995383715639815,0.2248737560909193,0.23800591858428638,0.22160431576812856,0.21634741380078065,0.2595168708651894,0.2090749063567594,0.21673222978321507,0.3170485081813093,0.27587140581477665,0.25556545236001654,0.2589479628619561,0.15801078607529712,0.14355459053952058,0.1624538292230003,0.2544949107570313,0.176857738104245,0.13067940095027028,0.19641350264831614,0.16602773525120465,0.17313636199568885,0.22010849653123254,0.24632791435744703,0.17286485212123884,0.22639145365246982,0.24986322267497219,0.18105928230082868,0.295967408586049,0.23634948478274073,0.1670452558851442,0.17392298543197793,0.18541604845610743,0.1729150424732334,0.2227906092865044,0.23866899611736564,0.3390023917351757,0.2976267792341369,0.28217963360067705,0.1740272428489968,0.2805507400235008,0.18579541009246778,0.17558835389976307,0.21807225538411637,0.11539405231116542,0.1918923771020628,0.2164847654302353,0.23770289082199805,0.20934662532931508,0.16730126145511767,0.1753615723683558,0.28592472407061054,0.19544798288437476,0.18974572152190933,0.2534119211925112,0.11070047707224241,0.19925741137908504,0.1656909328605787,0.22297809480239836,0.1876984835359495,0.19936927967692097,0.17567933473807834,0.20115363366592195,0.17505192319570784,0.21992382795863413,0.23413920716643474,0.24654335904187352,0.207387529962433,0.22031575871625622,0.22066855911593994,0.2239998687389967,0.16960144118499,0.1742488126961168,0.30523006038864214,0.17049360862796895,0.17073652520988547,0.25344287222055084,0.22971597985813028,0.21353874373502804,0.20959852535709209,0.17274718937940947,0.1662339602696288,0.1953885852535261,0.18578757702190182,0.2039395488177763,0.17629782310916026,0.20430340684470177,0.2202922854905915,0.1672490466467115,0.17303387583372362,0.1887821426189833,0.19653184594501555,0.18383069083019232,0.20341034953240938,0.19354044218966635,0.21055214626176036,0.1935703791413922,0.18103780516509982,0.17001957152466834,0.13384604464143435,0.26283334162287125,0.20634678237844395,0.17464627913251565,0.1978277048500671,0.16865439625977535,0.1453440483240511,0.25428986065737585,0.28110205221595297,0.2778733796809028,0.2356016011568887,0.28138527205929903,0.17306947026414615,0.19749482598983617,0.1777511742539908,0.1762068124785832,0.194417862764384,0.17182449535048935,0.26542376140955126,0.18717230938104518,0.2019223962094495,0.17712350587446324,0.3092944889324558,0.2146548962910036,0.1697864320812015,0.1672575376974603,0.15267427991169127,0.17164995438015876,0.24843421692109194,0.17140738461820118,0.16632314433809076,0.20059676468599683,0.16991109309629382,0.1711276702862533,0.16942781784351454,0.17405537807134672,0.1807022158861343,0.17880863862173002,0.19228263590778516,0.2808838006841656,0.18046526182274109,0.23312418199741555,0.20998431111926458,0.21796143593971345,0.15299530469197822,0.21738030331275657,0.18157651023966337,0.1696713832006537,0.1722735585212336,0.1741982916663628,0.22385161235642653,0.22461498216074172,0.2479237918879461,0.19112255504831702,0.1798100073180103,0.1707484288868774,0.18864001663080404,0.15880132547086437,0.18032806516962505,0.1939385533043542,0.15175633507954156,0.17250857928846688,0.174141624164246,0.1813759756744848,0.0,0.16183225345945543,0.1973804326716138,0.1699932663167138,0.17604813097195793,0.19522678924924075,0.1792931913954635,0.16433106391922103,0.17912868080603314,0.1719524755262455,0.24097176510849116,0.20388872400702684,0.13546962734102933,0.17677870469646043,0.1903362729276935,0.1999421066982394,0.17506934781216257,0.18901724750148152,0.17347129942225653,0.1647790410077245,0.16910774629494968,0.17522823160823342,0.17862768727369374,0.16908344185390545,0.16901080382525638,0.16879076320811873,0.1737337548997846,0.1837368278897427,0.16549452888433205,0.19354508188406444,0.16598742055722637,0.16990391514617387,0.18529008529034424,0.1805379223271565,0.17613178496850224,0.18749248357443038,0.1678832930596693,0.1627346027414326,0.20932379857088174,0.16093973372481543,0.17121237568162856,0.17579276921003226,0.16941943777496193,0.16692257553890388,0.16676601680949446,0.164957868364557,0.17107713268245944,0.1701820247727169,0.17104191037736138,0.16856586341716892,0.1706232294872475,0.18387713902631578,0.1642495336075114,0.17305578588510814,0.17503870003945685,0.16753170741673262,0.16973079356994142,0.1723308589560352,0.16927061497357787,0.15457969092583285,0.1702121839527474,0.16948165356578387,0.2212067642947656,0.18631707712127202,0.16826733563205337,0.17021287597087612,0.16998826963434177
+307,0.2848504903957022,0.11057991401031347,0.36883694826312324,0.17704997393601907,0.30764843402273223,0.10900830901349531,0.2902031304432552,0.1834192154606364,0.14762047054543223,0.21487589545551897,0.21180329216584926,0.046782768580263825,0.28221373448000814,0.19906656934627714,0.17673847395719672,0.29823479505252537,0.15986849790915267,0.1977444224480164,0.20733336628460416,0.1880879016436476,0.2389142209569028,0.2365785141282904,0.19648139522091942,0.18275405808902975,0.3167693094389264,0.3400476665454577,0.24213584937793609,0.25842384723298434,0.07630052728619179,0.07476136491464418,0.07516477565966749,0.22031441606945765,0.09139723199278178,0.18739647015701255,0.12164547250503092,0.040459768168113516,0.048309672116238454,0.18177482692373564,0.2631256995550835,0.09660375693759718,0.1840920305887658,0.21837797377649473,0.12048941409258437,0.2590044171332839,0.22889007771018105,0.04447679477543545,0.05773320607559269,0.09428475049583508,0.05293283251519248,0.1890470202036442,0.21945715326703819,0.3077381138646794,0.2614471759327866,0.2441655636111115,0.0568938252284538,0.2573706435696326,0.10928321748852571,0.06809072706463862,0.2003937835753942,0.11258574865137619,0.11330386594858315,0.15042134396094337,0.19643075923355313,0.15539944585252338,0.061834080153505284,0.10387481918449334,0.26941643467311965,0.13974672633228175,0.12478780600346724,0.2245777149852822,0.14899403407231035,0.14150393821719862,0.05565071456835584,0.1571898451718398,0.22103743184699434,0.13781136411359826,0.058087683623451,0.16163383440148568,0.09406378003286245,0.15969378882331495,0.22631396681462382,0.19367416151821024,0.127815415113421,0.15325065394893927,0.15143455942451817,0.15604618165703446,0.05360280532382672,0.06916527314600197,0.28317364064216005,0.047911994908069216,0.07234774725133489,0.22904282312542742,0.19857290970109523,0.15345211673723153,0.16491936918776648,0.12261179300854744,0.10911722674344759,0.10880323657526086,0.11208268266024303,0.15467841399144783,0.07025036676674525,0.15522169281250325,0.16150917401914652,0.06604467144288609,0.09741712874636285,0.10222614397196894,0.11387708985776442,0.09359680250805523,0.12912957226228222,0.11436516611515148,0.1586431890536339,0.12256432922173624,0.08744188569150847,0.09368396305830547,0.10304719125362817,0.21200444335007376,0.1330884566384445,0.09953616663619462,0.1592421889048909,0.09202955727366931,0.1504681749857067,0.20425428372706803,0.23975292411695145,0.23251826023523242,0.19224268892231697,0.2565992391533428,0.10569549358027247,0.14547524062115313,0.07866413326464158,0.09910726611628172,0.11354612726348992,0.06370708757543568,0.22674648596202535,0.12411280722779801,0.12971666040989252,0.1170676652979167,0.2725009402979528,0.15123742018679093,0.05538317075708024,0.1066727510070629,0.10212985672405281,0.04407846199297689,0.19664726835381668,0.04810525912062765,0.054742268689103236,0.13594201172043946,0.05941734842629064,0.03654106056253132,0.04545109978057863,0.055140233810003006,0.11285933510463428,0.0850014920198787,0.11719368874532156,0.27371174699431505,0.11966721566453731,0.20172358557193226,0.13727005500037406,0.16997411635899037,0.048843958863505246,0.16355382683529301,0.07973365327163655,0.04452506181984475,0.06404390233556613,0.060177400570711664,0.16003845298401898,0.16043855846735353,0.19314583628078416,0.12957012439207502,0.08783664351528976,0.04398824671681538,0.09603711076134898,0.07021466070477997,0.08716341208955775,0.12099639353156896,0.09222042803747105,0.047475409363767464,0.08840134754878001,0.0969279103161834,0.16183225345945543,0.0,0.12776942335848362,0.06847022288502314,0.06593173620229888,0.11966419206065507,0.13721812433009764,0.05875575128547445,0.21479805873940203,0.07207720356446955,0.21218143838058381,0.14338111712482357,0.1754025093256514,0.07740253505109836,0.11140080908529428,0.130351848722826,0.060354619455796676,0.09580516747597978,0.05152479988256359,0.035987783072721456,0.043692075443592465,0.10007030647468025,0.07334460264035916,0.041779122941763905,0.06215405934351639,0.06099662568679239,0.07924887085023105,0.10875597560261506,0.04680302051723927,0.11407963198787903,0.09771250494506259,0.036986088860327254,0.09141361317362945,0.0787939872271122,0.06564700319944344,0.09930400318154071,0.05773101369709571,0.06032356229946392,0.1542377028458431,0.06924904827742284,0.037122680984631194,0.0731008622014781,0.04180495740027339,0.04486813194838554,0.036154355120393215,0.03322833883931756,0.04828528289700434,0.03806360878806721,0.05502021745149433,0.043789580338037246,0.050914661023502554,0.09002721131070263,0.037572854589699396,0.05346563379909269,0.050954225382851076,0.04912871470963163,0.039404422558576804,0.04827854523486039,0.0369320334322053,0.06517049487825867,0.037670438346679165,0.03570120032598207,0.1627378809632632,0.09966017139792473,0.043187991772712465,0.035494700326745725,0.03627726262199868
+311,0.3089544345083222,0.15995947851349415,0.374914215135481,0.2023847367077406,0.3090039594184952,0.1526704826733657,0.2666185022372026,0.2074668764025204,0.18291409967123878,0.23579465676089864,0.23014804030560748,0.13128601385976607,0.2893566246555275,0.22628059498701233,0.21207633774861115,0.30374277861723137,0.1928334934887249,0.22580241931287046,0.22914415362832846,0.2047912698794421,0.2512619273032835,0.25332274782076275,0.2151542744472346,0.16188448234427005,0.3150620824659089,0.3415690609295385,0.22178507128251113,0.2540287471763999,0.14584108499083745,0.13943098619246533,0.13201047151182396,0.22794105252105343,0.1254449566246981,0.2111721397830124,0.1785018303931839,0.13184661622895658,0.13414647032445826,0.21014111876486377,0.28060257022959106,0.15240093237143296,0.19961258407710358,0.2330721934750804,0.16557311633386726,0.2812806140146623,0.2365329887877456,0.1310430217149109,0.1431214168818045,0.1540068461296863,0.1383141659908347,0.21231952640863572,0.24473931245613337,0.32492080300218185,0.2800963737168652,0.2695849119221083,0.1396439040439718,0.2828986585492785,0.15110383822880272,0.1374787498644071,0.22075644201348313,0.16066634209499386,0.14650322228211526,0.17848673979836768,0.20973761138407532,0.15612068736758733,0.13404623886013545,0.14745545483986197,0.28172084793646346,0.18192459585091383,0.17376204396615677,0.2474918984785796,0.18484755927900642,0.18239677495850767,0.1373780725586052,0.20293842903743012,0.2073156673950443,0.16662169696795356,0.14233440339628414,0.1954207567437287,0.1554899802916493,0.19308244347501607,0.2235937943451467,0.2270457978541255,0.17804339017334353,0.18904939431693416,0.18799432952957126,0.19224197619191738,0.13596359060989618,0.14338781860145636,0.29084204656818097,0.13646857898058248,0.12786242445785828,0.2433782284520039,0.2189134310055642,0.19433946698416346,0.1835462605756249,0.1559877689030076,0.16257860072591707,0.15942313844288108,0.1531880343152371,0.18383874248765134,0.13771750107487787,0.1923276275803832,0.191752742765827,0.1351078419105756,0.14925156300560152,0.1519466740540184,0.16744116477710191,0.15636553216275442,0.17311704039209946,0.15212140888459202,0.18002916077452896,0.13899514995910123,0.14477041139330227,0.15544065596708115,0.15741070805970642,0.24171622382144042,0.17988326336951527,0.1578604910579703,0.18175653022529947,0.1484959254353294,0.17233073238463523,0.2400622248023604,0.26785057906058773,0.2635342521494206,0.2241902716066564,0.28690652714028925,0.1632510470933892,0.18579613960122024,0.13859551953543142,0.15038662567502567,0.1600663400840784,0.13260435705897836,0.24169860185024397,0.15474805981726433,0.17470974654048788,0.17666518077046098,0.29802767612364695,0.18998010124911766,0.1383455064307484,0.15705929252251563,0.14920822305094913,0.12985416325449864,0.23079157189333577,0.12753877557489554,0.12516590449990087,0.176624905149196,0.14146127278954576,0.13341405388439523,0.13705992986569074,0.13570433403169305,0.1636059785517533,0.150208201395195,0.1638425430239099,0.2764779458688307,0.14739413178787297,0.21299390431191584,0.17465023557933465,0.1852748676638901,0.13133640226132515,0.18251857321907558,0.14054497411346853,0.13537304714677803,0.14189791234232468,0.13678796341255142,0.1994333970150673,0.19991964576562557,0.2243932427317908,0.1786128382632207,0.15238798132388112,0.13566942461142864,0.1591704129235938,0.13146042931283164,0.14539535858953676,0.1057224489412847,0.12828031341884763,0.1373480840107997,0.1498869312870014,0.14978078004814643,0.1973804326716138,0.12776942335848362,2.634178031930877e-09,0.1303081011094406,0.1383641150628375,0.09445369190795677,0.12660937387171792,0.13687633642933322,0.17283957091300806,0.14244545745409104,0.231627586971606,0.18234413059062904,0.20086353007679858,0.14630821289477278,0.1568615908239687,0.09366886669206842,0.13643655837898652,0.16079871276918248,0.13613001677764766,0.1305927699296869,0.13571681608597624,0.1418458897351434,0.14233977636301431,0.13308139331447022,0.12112337531456717,0.13874035687297967,0.10475437133811545,0.14742480342256123,0.13403237687263406,0.1411308239927504,0.1365171923043522,0.134089194807069,0.15468221979442168,0.14963852650704942,0.1428941608956039,0.15669291453998643,0.14313132020831387,0.12286919702918311,0.18354035646304637,0.1484782401378885,0.13528077849438477,0.14473938280780818,0.13467156094897276,0.13533651686383563,0.13111956745482192,0.1338699231605261,0.1363157257896662,0.13377253815155105,0.12091606121586643,0.13635858507816231,0.13534890153996623,0.14930268691391124,0.13327251713525526,0.13809405704738448,0.1359906139330947,0.13294646938497198,0.12801790202459834,0.13338797541819045,0.13421984570136603,0.14981780104946846,0.13426797308924784,0.13240001724056727,0.16785873720645889,0.1531783044512104,0.1346185662570895,0.13607578061023531,0.13455283777611046
+138,0.29067260361364267,0.12588708065282508,0.37144132643484973,0.18603068482862198,0.3095760057567461,0.12633073644484077,0.2909038624449177,0.18759050822119128,0.157754025591832,0.22043735127408984,0.2202651621066604,0.08184593071518848,0.28394436824493363,0.20666900229474403,0.18674788539054515,0.2967248862098054,0.16735834231093394,0.20650090459191456,0.21380255951678281,0.19122610221923433,0.2414373703772619,0.24242418597590173,0.20217333576502658,0.1816947524794226,0.3185990326224219,0.34371305607453795,0.24140167734935558,0.25548893202987316,0.10100623595319605,0.09846061419142899,0.08944562062021344,0.22884375494220172,0.1098376818096124,0.1964706637452229,0.13607190322594756,0.0755768242452364,0.08313579195042782,0.18707925842582807,0.2709138296434862,0.10541824580435866,0.1843823598158304,0.2255486161203689,0.13637157241711198,0.2669529446270313,0.2284242113825855,0.07972788139206666,0.0887295479898591,0.1138402017053764,0.08352097217426326,0.19106256707105274,0.22259065142944504,0.31452867539414436,0.2700351815320204,0.25137301442455845,0.08793399735937679,0.2674609052242528,0.12039300091419639,0.09053917849286633,0.20736211110195862,0.13432478803387837,0.12896718002923904,0.1616707340356798,0.19516125726676187,0.16230572847994665,0.08840195419205377,0.11623933451368551,0.26575766636365544,0.15314757131734752,0.14069160076356885,0.22333858302315016,0.16566404128655188,0.153860195554822,0.0878795219122684,0.1695068721122921,0.22004911571840238,0.13796255261048823,0.09072444400473124,0.17046556752835823,0.11410020721116712,0.15672764791490132,0.22196091016071065,0.20477093042539785,0.14547453269212426,0.16529428425648482,0.16516121988764368,0.16830781354507943,0.08506041529668022,0.09380008038286107,0.2744410209456216,0.08292289846742656,0.09316248572250661,0.23260023884701425,0.20813045201526098,0.16479374452081283,0.16150213883481807,0.1239281071327808,0.12849658986050452,0.12689102289698187,0.12406309655574604,0.1575885003363822,0.09646129073575856,0.16622999095731797,0.16862279970282765,0.09179640482619635,0.10743473021710367,0.11512461321462089,0.12896754462800933,0.11555296004801979,0.14455936184287985,0.11814687988058177,0.16694900266773524,0.13103097059838464,0.11214976198461706,0.11255606395072644,0.12033033254255729,0.22139630399828938,0.14926508101966007,0.10677151764788706,0.16049503719250424,0.10417781983551558,0.15311777758407635,0.21440649907109266,0.2474559669895518,0.24032666820433074,0.2017832142614429,0.26787823194338817,0.1166233917150254,0.14861293421001784,0.09145947760366258,0.11453514706358536,0.11701882785282142,0.0871745382388234,0.2342317706859611,0.11611856515254199,0.14097288730821383,0.14092513393034614,0.2792574610763804,0.16530497782147954,0.08582198092150807,0.1304017287745424,0.11218978652636144,0.08128927759942302,0.2041725022348655,0.07978863243536519,0.07994503038297851,0.14492194757079227,0.08586927516340619,0.07868779330555165,0.08095414960134378,0.08356154434427325,0.12359564317609842,0.10778896364434722,0.13256686437689438,0.27278521963768415,0.11719620040965359,0.1890560446290045,0.14655629442241733,0.17030913518911067,0.08453214065690737,0.16792971434212514,0.10070352556698842,0.0797401354556701,0.09282362949057807,0.08829163071271985,0.17226816406163692,0.17103089213781503,0.20267872111048058,0.1410239216038079,0.10957511425343455,0.08043442032790318,0.11415550382296694,0.09401146186994563,0.10774641664332239,0.1282706527487096,0.10816609765716036,0.08283494862503107,0.11006384615825474,0.10814260700194092,0.1699932663167138,0.06847022288502314,0.1303081011094406,2.9451005721170265e-09,0.09015866802937586,0.12515732610190552,0.14542816651146048,0.08786207518854722,0.21575712322711946,0.0960587417258627,0.21648364785903393,0.1534457901319563,0.18509027160587546,0.10079479088180603,0.11130502186802418,0.1358309087786457,0.09089371632279258,0.11621354601357468,0.08457283998968047,0.07851076568041807,0.07953645696087797,0.11252260713805504,0.09906693547576667,0.07898973243047272,0.08442869004377852,0.07960435380361788,0.09602212952722927,0.12165704525002505,0.08401995863376677,0.12661114152784692,0.10637106123879879,0.07740956727318898,0.11113334620643305,0.09866974232596533,0.0937274868497376,0.11965026883516235,0.08363955850243317,0.08156003230082198,0.1620259729843387,0.10562395221510887,0.08022239245260582,0.09441995448690102,0.07825892466716208,0.08083701948318392,0.07343090907762179,0.0785891401328395,0.08266389696004661,0.07693017970888068,0.08758370477043068,0.074493883221624,0.08563713825594589,0.11231408883963853,0.08009457115200783,0.0861078778635949,0.08825232462373438,0.07312899273379926,0.07758816800907586,0.08232893802281306,0.07739908872259028,0.10336220205373667,0.07799771268116,0.07775690250940212,0.16419699786201059,0.11906633871171585,0.07920644479501501,0.0786617055015499,0.07682713441910802
+54,0.28944220569169643,0.11552631078730177,0.37264863178733554,0.18016745498732775,0.31016468168165745,0.12184285164504022,0.29975295786038053,0.18929425030358132,0.15482778328649088,0.2242463812204743,0.21921780179876754,0.07095243473137146,0.2897764314638081,0.20187223512296887,0.18012575940142894,0.3047202873434784,0.16925032157870784,0.20145392682212276,0.214907256071059,0.18658007499326096,0.24454106487410956,0.23897263415138012,0.20427414308394523,0.18183045696026778,0.318826113204993,0.34490777056094446,0.2495753298033984,0.24689725091021703,0.09034681916176976,0.08967696000425715,0.08147064614437392,0.22907071580497193,0.10659125485921506,0.19473728888506242,0.133584725953416,0.06570751874196903,0.06936793662244717,0.18890617836852738,0.2740152942319022,0.11024816628148135,0.18926920921672089,0.2238639070406312,0.13103271895334678,0.2659557794662629,0.23442004362007665,0.06493831412463337,0.07977895530159354,0.06920550814717717,0.0676509696708084,0.1641705271652559,0.22775290192614708,0.312650727383179,0.26698212715871916,0.24943901171340255,0.07487012966029752,0.2653794525345719,0.11878339999372911,0.08390763714656102,0.20367342195518068,0.1327503551616449,0.12078337037783028,0.1580986759056179,0.20062187037054918,0.14727633524787248,0.06972988267899141,0.1125387983305609,0.2728445016236994,0.14669585619728492,0.13366098297001777,0.23044829132656447,0.16347617713267917,0.14797110637389493,0.07486690569753407,0.1657151331072057,0.2256822914153657,0.13526749342683783,0.07774600899036353,0.17080223596624866,0.10007593029071747,0.1454176852848256,0.22598201052996578,0.20078056242513365,0.13602221873382195,0.16063864965617383,0.15867252777330165,0.1643353129680967,0.07574452903401169,0.07837656399942991,0.2849985723031726,0.07006861405085321,0.09013718217382263,0.2372123317273436,0.2082451494147453,0.15627199925906027,0.17118699382336905,0.12873961606667558,0.1203983327344896,0.12155910561065825,0.1232134795691594,0.16214991590869407,0.0874090790865606,0.16473021471506277,0.1711198851320394,0.08162820946513111,0.1064982389021046,0.10992942273620879,0.09457827825388591,0.10721642224055487,0.13844779669773874,0.11141961680535944,0.16584798609280574,0.12793727677361014,0.10330622617165736,0.1052614741458889,0.11433994753815795,0.218475875583498,0.14332037031968267,0.10945846971308629,0.15612882019233673,0.10191857742850333,0.1578577517737662,0.21077016528575027,0.2442997430156151,0.23816095087317016,0.19844400363880638,0.26479229937064147,0.1191640766213372,0.15506278910980173,0.09612650629741895,0.11777013840204428,0.12145886596662527,0.08338624227939702,0.23607883740084218,0.13141632331383152,0.13923327246506084,0.13466573342435945,0.2773096988728865,0.16012681520597144,0.06870116612410473,0.12897680244714893,0.11522445505437806,0.06737610303649332,0.20333709898662564,0.07174646702276583,0.07572068473938759,0.14825686584634665,0.07866392244352091,0.061364079398660204,0.06948500508920669,0.07540687422492315,0.10939743631960869,0.09935737288614732,0.13118165437415205,0.2806604244900555,0.13023088736334634,0.20374255328766797,0.11886943798627136,0.17248762434706827,0.07321823087228814,0.1736058953422949,0.09483972860819338,0.06678354006703614,0.07839203117233777,0.07066548009891775,0.16897122972563597,0.16951159529570792,0.20004712839122102,0.1396199783014435,0.10114945652746483,0.06630730980773238,0.1091343469968823,0.0684297035899437,0.10220341597333174,0.12815001333224188,0.10843325669662288,0.0683818308125723,0.1046366175795863,0.11184670244086907,0.17604813097195793,0.06593173620229888,0.1383641150628375,0.09015866802937586,0.0,0.12841841127727707,0.14928550302987406,0.07228113321217397,0.22123196844509382,0.08735942225688718,0.21304735964363414,0.1478530608608831,0.18319099949770143,0.09276261304975118,0.11779969610329723,0.13785217603320848,0.07218346857654213,0.10929520722627449,0.06383352629738187,0.06275443465505964,0.0656738871749944,0.1083725194713739,0.07945793117429066,0.06469784097374469,0.07353482795825794,0.08066309544517539,0.09217047313228288,0.12011140776996285,0.07088795705584555,0.12482438856400105,0.10766502600956103,0.0616676713793191,0.10173103954886022,0.09070712168647568,0.08204460877619076,0.11253826578458806,0.0818051964405323,0.06954012866931514,0.16197687960184667,0.09571789805554332,0.06461132168418152,0.09031688764303976,0.06405587572226586,0.06765120845538315,0.06228375012215711,0.06370502959526125,0.06875665295353832,0.06192327687317091,0.07836643082412012,0.06609818592751207,0.07103684625503508,0.10429949360152167,0.06793474336529215,0.053717403339275376,0.07635869011639461,0.07213451976340812,0.06030048409155187,0.06838725205802874,0.06170014343987116,0.0923398160006622,0.062125965754189584,0.061525392919509314,0.15584544427046487,0.11356456134828,0.06547344841287739,0.06654289216632413,0.06298807457630624
+279,0.3057936148092586,0.15645513899628244,0.38109006271699264,0.20476125191330088,0.31688165808038343,0.15425708962708035,0.2804042540520243,0.20890363199644685,0.18316128155347394,0.23869615120763205,0.23708270480197868,0.1270598802254953,0.2907424929064369,0.2239843601872064,0.20847107270754978,0.3038782045227375,0.1941535545670354,0.2247453235377748,0.22739508935603514,0.20437929307441677,0.25866945241610173,0.2546584486010868,0.2173978493797743,0.1694760000250666,0.3203481935052673,0.3499876912574251,0.23582159772767142,0.2608357420150929,0.14044924454759963,0.1362282334415855,0.12846298333333045,0.23384390913242206,0.12236408468649775,0.21320523805394975,0.17132928505115053,0.12412284018249824,0.12843174495898677,0.20784591097634889,0.28942604629031227,0.14195040579626947,0.20168414635880094,0.23600304321624513,0.16493056741637668,0.28382009847426903,0.23916710809534247,0.12385700287963924,0.13491100716787505,0.14889098251449717,0.13218102505015192,0.21279477648843773,0.24515586867729958,0.3268331540336586,0.2797904538014277,0.27001269424146884,0.1322553286865496,0.2821424210755934,0.14769841985071594,0.12863560844899008,0.22064702840220154,0.16024193963137104,0.14106208098845222,0.1782155762092596,0.20712185411619805,0.15940782592540914,0.12968696107432715,0.1459111526781768,0.2790072927755114,0.1801060508919784,0.1689975775388518,0.24409893874127572,0.18757105499677598,0.17849479731713178,0.13079745656409217,0.19600368802454426,0.21740427016258193,0.16039068227819864,0.13321039376527183,0.19363387796887935,0.14904759694183334,0.1835566288291176,0.22786241337013252,0.22541969197372477,0.17226204286540836,0.18764755678942582,0.18537351163328708,0.19083688638730142,0.12979853620309315,0.13649343958726806,0.2895410919726958,0.1297061332368288,0.12575193122098058,0.2428144517189926,0.22276728301819523,0.18996125579478593,0.1760628928142164,0.15367214796003825,0.15827384193134814,0.1564491966760063,0.15300016657377286,0.18543507643596427,0.13331365672935724,0.1917672807712085,0.18958977312569417,0.13273380045891495,0.1462064669263135,0.15269846704853568,0.1628533831293052,0.1499777375233321,0.1639528842530153,0.14287966718222475,0.1797005911666618,0.14198599739870077,0.1403805064986893,0.1502057916143241,0.15195022847985698,0.2423340883212576,0.1768608564610298,0.1477949554697109,0.1828851610909712,0.14100572421532992,0.17616112442755427,0.23621761131441155,0.26524518870464553,0.25931356471885886,0.2221982756027742,0.2843083832364283,0.1577865716799626,0.18101470627522123,0.12175301506149534,0.15062184067835713,0.1504426300721889,0.1273177893822059,0.2431357885625456,0.1456478696480101,0.1751183977882789,0.16945671494075346,0.2942063128922119,0.1856947555511213,0.13264348871799084,0.14931534695961418,0.14655126170611116,0.11959563606655264,0.22429596841996483,0.12189160183473337,0.11864142126451224,0.17145175478730537,0.13122727896821462,0.12581151234244628,0.1293903275180062,0.13086439388162446,0.15859888951770326,0.14578722424644008,0.15925497375836614,0.28140459802231715,0.14555326784956002,0.20731556846255758,0.16785884057880857,0.18438663699170543,0.1280593431300644,0.1845644234567626,0.13684276174255008,0.12897685409527973,0.1342623300863602,0.12922261486616152,0.19705573861621553,0.19785804625824843,0.2224629303320795,0.17394459956456507,0.14699576673549158,0.12531451558347292,0.14761467602995867,0.12961144973932825,0.14185789945368177,0.1131037105485011,0.12440153247918166,0.1282330808652521,0.14430949378388358,0.1410095355343906,0.19522678924924075,0.11966419206065505,0.09445369190795677,0.12515732610190552,0.12841841127727707,2.634178031930877e-09,0.12867527922548058,0.13045666984729237,0.18243960272831047,0.13371526929909383,0.22814155033908115,0.1807086904295975,0.20332510456990824,0.14342343764691853,0.1476647381770875,0.08077462636965813,0.12758602308347355,0.152587898650039,0.12813669527632812,0.1250212705852501,0.12636261298468185,0.1423168996723215,0.13816967847061368,0.12541671666499862,0.11163550539653275,0.13274093704254797,0.10522200253583483,0.15002543789674125,0.12555714922579253,0.13899555659999846,0.13757235004107063,0.1254275539185296,0.1474034695279266,0.14068961123197282,0.13586641886102957,0.15460664029209795,0.1351267706548075,0.11828150604817832,0.18392830873179478,0.14540951315745074,0.12431255362685115,0.13867727614985098,0.12523912337542983,0.1285910174672329,0.123308107518528,0.12544028230996454,0.1282779037237662,0.1254188616798165,0.11011697864954025,0.12768672530695307,0.12843114009107803,0.14074486293451555,0.12661869616226404,0.1316418115557094,0.13175223630284105,0.12510085615660274,0.12270402324678675,0.12688663472178924,0.12556446932927043,0.1424891915902746,0.12514105533935052,0.1232047841875566,0.17053390468733276,0.14902104486306916,0.12666523889565515,0.12632575721891326,0.12634319883910403
+73,0.3027426529514161,0.14805777523124042,0.33156145594210185,0.1898274646641025,0.27880905170337456,0.1474212199798536,0.23671478724287146,0.18919594186806482,0.1767191640361666,0.2007609212113948,0.20168878498298395,0.14152627729123077,0.2830172306097909,0.22409120389088863,0.20781780082167287,0.30338004808908886,0.18624490934245808,0.21661195027616528,0.23294583290704043,0.20504996254857105,0.22019096753571774,0.24330737099197353,0.1816948457532131,0.17171442921849905,0.2920658617515058,0.30064145200957987,0.20570183540440545,0.22250350053352055,0.14450216554254194,0.1344974324959535,0.14495007740534196,0.21755332624291454,0.12341028174137691,0.171857284004144,0.185624023324955,0.13692763028287744,0.1471022649347655,0.19474538857242854,0.2475737195888531,0.13956562637203984,0.18561500927137117,0.218278640686587,0.1590393678520011,0.2751936754169583,0.20627756355921864,0.14008564541516672,0.153202834425451,0.1610923205315989,0.14410707305952436,0.19950623587998084,0.24309642257294015,0.3204701507986438,0.2751848937959923,0.26950656791348343,0.1499466213042003,0.27849900824952367,0.14731497496009235,0.14452551828867333,0.20398054028435159,0.15833979385312633,0.13047537985236468,0.18440282769334806,0.19220289476716418,0.15088900338844113,0.1343962217782433,0.137019379817832,0.2606529984017483,0.1709343814292384,0.1722944617104651,0.23053721012889689,0.1622973416419619,0.17646010848150676,0.15062249255744656,0.20489255939683945,0.18648788741012237,0.15764218920216774,0.15146160602175998,0.1799578116626454,0.15421156855955145,0.19706041558909448,0.21068200822603092,0.22993055605487478,0.17102840487647206,0.18371956986436302,0.19049195829429988,0.18702250699477496,0.1426454974101086,0.14985472492688362,0.274946256729979,0.14609709521687309,0.13203684589938985,0.2447303827196378,0.20239366506498327,0.19540886022621903,0.1854080006053232,0.1463860382385055,0.14679886544799775,0.1614706049813474,0.13010082683262975,0.16692013179944415,0.13908056128151092,0.19074424707731255,0.18932213250317984,0.14456725343797347,0.15172426006542705,0.1478754879630912,0.1728367636692362,0.16499820954105165,0.17813145379459408,0.16056078818880512,0.17108585389162648,0.14478863346970267,0.15107204590790985,0.14682350000584538,0.14146206696409633,0.24070671074965372,0.18404908201976578,0.158777001402945,0.16479483184424076,0.148856981567317,0.15684062557453243,0.23798676883559186,0.26286711690766557,0.2600983820735798,0.22020488346845576,0.2844115368615524,0.16799033577461853,0.189767421302118,0.15143283590141882,0.14567840574250798,0.17129100282264248,0.13924575417835028,0.23496078074457358,0.15497176144928812,0.17199374008516846,0.1830149752841959,0.2869716364509477,0.16492805658581877,0.14442956812759597,0.15876568454179185,0.1427446763705629,0.13977815555856998,0.2204613966092243,0.13860928454193433,0.1326497672060911,0.18317729037246883,0.14692532080749285,0.14091839828273447,0.14360239122113835,0.14097850856189198,0.1690380664867633,0.15403646945327268,0.16616988359587584,0.26666850394006736,0.14306969978943296,0.20207801768944025,0.18216256651072235,0.18653759115825974,0.13367574045170064,0.19062543998704756,0.14970018163163304,0.14431738583201373,0.14824622755559816,0.1466185873598774,0.20023722130457194,0.1993691875650869,0.2241044053230301,0.18237589820599465,0.15809101193629146,0.14627927135475424,0.16212379676006017,0.13193680936738042,0.14798596378351117,0.12993067859539176,0.12802325334063216,0.14843560100578593,0.15077569559283976,0.14207310420101027,0.1792931913954635,0.13721812433009764,0.12660937387171792,0.14542816651146048,0.14928550302987406,0.12867527922548058,0.0,0.1390021993335299,0.15332429713317736,0.14762231632071315,0.22601191687181302,0.17947854662885687,0.1671805804570991,0.1450009082250761,0.16160990384921525,0.12016059402776402,0.14729819539396177,0.1560461279573314,0.14822297729485479,0.141515063466883,0.1463421619235119,0.1278030771895008,0.14295795185316412,0.14386767394304228,0.12872834140486816,0.14568912533648468,0.12832568978369663,0.14833327545341696,0.1435443656990764,0.1528083193606825,0.13460492796028192,0.14569335477815798,0.1607149048209875,0.1601446294089855,0.15254225250317013,0.1593454906443643,0.15093010293589856,0.1308189766855804,0.1784029957648869,0.1614367262595366,0.14262184769986513,0.1500887451961309,0.14244190599792836,0.14646662006705807,0.14151855976237468,0.14502632509381508,0.1460331313437925,0.14529424561917437,0.12792675262623535,0.1479337567087674,0.1426420648485658,0.14915076008759803,0.14763985312633157,0.1505256719635612,0.14232577874788901,0.14333396852959518,0.14030390652967964,0.1429080973542931,0.1462258338045201,0.16070804387965865,0.14588491483187918,0.1445606320546246,0.18081756956803136,0.1534347452445122,0.14343462406540183,0.14257191360345992,0.14623471635656216
+166,0.28058216563302185,0.0980431989253053,0.3508140730710832,0.16284139405426515,0.28735371046846786,0.10159018988117217,0.28704147055237306,0.1701988472418858,0.13478324975829592,0.2046689595037672,0.20766071451102813,0.05974911639575437,0.27692746998321444,0.18054364065218753,0.1561983230564254,0.2949367053996967,0.15583316007283682,0.1769249586469839,0.20325702174026797,0.17320830148227276,0.21677232158683343,0.21265048577948575,0.19349108452474975,0.17124283855787578,0.29785889664469606,0.32873815382230265,0.22698904029289263,0.24539421574360604,0.06805968709269675,0.0736147525511556,0.08164295932354963,0.20730861215602697,0.097118243154154,0.17922113639694767,0.12901324942609127,0.0527550301222552,0.054564885376677294,0.16134154453754268,0.2624536652389137,0.08818648484963124,0.18218366881331183,0.1943965431462387,0.1041077014059885,0.2565982003099047,0.21639738936211955,0.06144299872149117,0.06449793893456801,0.09288160331374762,0.06715744982665141,0.18092325332955567,0.21819540988622146,0.303231325715832,0.2587837561369876,0.24295420506925336,0.056340301354650756,0.25818399324139324,0.11083147607273462,0.07838932210325379,0.1759032893068323,0.12166134016627683,0.11318622862280328,0.1470482651149189,0.1925685530411977,0.15317439067641603,0.058962021352986727,0.09845585690472057,0.24727418325863695,0.12683114706035628,0.11432317584721054,0.2016680152392268,0.1466664468796872,0.1274461222059089,0.06814326708595518,0.1579937532505465,0.21099176844361683,0.14145601380929015,0.0713827686701066,0.14209813755464956,0.08043898640875549,0.16148010418488187,0.21634791321459793,0.19444693498057067,0.13125158788813154,0.14547262028665187,0.15100706560237925,0.15690618500174416,0.06840287048024252,0.06885692934092397,0.28183621111523116,0.057337727128759446,0.07954114565862731,0.228088955328512,0.19772280134512832,0.13944092379037104,0.16661770042073784,0.11913447471202838,0.09474517732877738,0.10271082446063227,0.11042835840320842,0.15085277092834762,0.06893317857158539,0.14963373556211315,0.16178980220064504,0.06823642465899912,0.09628432453413939,0.10067769611585535,0.11102474806372482,0.0955907637851172,0.1346456618313883,0.12047845527657136,0.1546798356846463,0.11150878969687439,0.08986994662866986,0.0853570708429394,0.09374719546749018,0.21002629868113334,0.1374706668006117,0.09869558959244455,0.1499337217863439,0.0894680206957243,0.14649054466974845,0.20152818667211783,0.23621236288188568,0.2296219724574876,0.18827579540786615,0.25703503033349356,0.10792282318426201,0.14770655661436688,0.09702871351011019,0.10895240891938168,0.12500572665729667,0.07642411638954193,0.2253079993078126,0.130294005309242,0.12000205604781894,0.1272456478684113,0.26882265567995756,0.1483963063865135,0.0695823004015069,0.12666778846846982,0.10850228701771024,0.0597274554782039,0.19525247747241356,0.0657597212524166,0.07253833894680804,0.14077860402532968,0.0707184850832973,0.05656650663134256,0.06145045753122665,0.06660338858439838,0.11028664685355122,0.08721386525320558,0.12182057861734648,0.2653228211271087,0.11583592950786449,0.19882945525775395,0.13687523852812217,0.16639984793738985,0.05121554259933906,0.16718559232010743,0.0756744033797306,0.060189105213545466,0.06661609274739533,0.0667516621043641,0.16295537045000594,0.16377410264732625,0.19458982319999885,0.13256879159432505,0.09179104651336158,0.05815758188819692,0.10227179154251119,0.06698792188448022,0.08372686979111219,0.12233068802992021,0.0991368965481514,0.06119870889689742,0.07582165780273961,0.09743378176920006,0.16433106391922103,0.05875575128547445,0.13687633642933322,0.08786207518854722,0.07228113321217396,0.13045666984729237,0.1390021993335299,0.0,0.20861061302879733,0.07854593300457491,0.19546407540413402,0.13627485815875562,0.1711784784649121,0.07837631194260629,0.12248350523049117,0.13724814515287892,0.07109663452234606,0.10098766301098161,0.061377329704889655,0.05991347034830241,0.05811473849469098,0.10424597924230622,0.07866006993610877,0.05147001056826557,0.0709720056685001,0.06920590676469607,0.09166669684433724,0.10579396744289275,0.059940170333268074,0.1190924496221612,0.10098152810222734,0.05332575038344899,0.0830351616230676,0.0827140687871366,0.06443479957652117,0.10729954039617769,0.07492643646871443,0.07017006440254384,0.14782823125817232,0.09082395098421298,0.05778247326501792,0.08378467086390888,0.057098711082553814,0.06044234803893851,0.05345831855563817,0.055680723218060384,0.06186896066307945,0.05251322879415127,0.0736513430110429,0.05891554002625729,0.06510487521434834,0.09794100857519777,0.05955904478095391,0.06358083036327943,0.06972525282302408,0.06575038810618734,0.05620585382479692,0.06175156352338334,0.053852735915193586,0.08712177654763976,0.05420177802267545,0.05432523165221174,0.16884860038614224,0.10470020219442006,0.057819445683679915,0.059608009744444836,0.05412453425221831
+134,0.33988433313356986,0.20557743233592682,0.3239811143298658,0.22057108196144654,0.2715372943036,0.20553806719802437,0.1657488228588262,0.22536629853804352,0.22100266547405897,0.17949241846616393,0.24298926771748355,0.2153632818338372,0.2919871040014736,0.2587664635368061,0.24326591933635644,0.3156226680652486,0.24075627661999813,0.23959786689270188,0.26286284387507197,0.22690735012834623,0.22335041601824557,0.259865814351047,0.22701758704245958,0.17517574751436268,0.2914606698829123,0.2694835437849399,0.1999400649261352,0.23031626367847757,0.20995574958053928,0.19192877750965323,0.208009915133244,0.2468101962682885,0.1944266700995589,0.1710044537337903,0.25116500167396183,0.21205235553959967,0.22392587014909482,0.238249899180678,0.2760326792795609,0.2037369333707593,0.23027967749664605,0.24401811581232696,0.21509666539933042,0.3184779359382986,0.22184866888332735,0.21805851227847547,0.2279526798690017,0.22990071736753911,0.2247105023078538,0.23831403216917454,0.2818317558855848,0.3579594503381262,0.318044058553379,0.31400193357416845,0.22450673043769365,0.31618669653411247,0.20818010044431826,0.22332265081108196,0.21406535275671548,0.18809247229202095,0.2134613038548352,0.2398360078433643,0.24271644920349458,0.19721956830101825,0.2026071952271265,0.19001027578049717,0.27543550392332034,0.22441433880537712,0.22604791344975889,0.26169111342116597,0.1749561382551642,0.22357715001736417,0.2238722086565251,0.2641329225093495,0.14330278698781695,0.2121357606921193,0.22772248596391004,0.2235893911578949,0.21576943558332679,0.24709616010969973,0.2058103786371189,0.2824295947428492,0.24572823608177036,0.2496773455418434,0.25384459092480544,0.2559875238815977,0.22202987168530822,0.22253260722687726,0.3126325806857045,0.22368451716703536,0.20168748911261253,0.2731243937715038,0.24967648899116449,0.2450305376130893,0.22558667302188706,0.19565256590590727,0.21426143743703024,0.22432316546873185,0.20229549781063083,0.21871198152634302,0.21624915760461938,0.24144235549317836,0.23830093743409778,0.21593989159619584,0.21100799726678873,0.22464448966945208,0.23822037158096152,0.23211673425621349,0.2425311391514,0.21761225279380156,0.20635602819431517,0.20714493363840877,0.22329703619114533,0.2165913932086114,0.1838746441358353,0.29546746189687884,0.24693880304711086,0.22981885972476332,0.19004764234150204,0.2137332051688279,0.1746379904160699,0.2882443312819895,0.30859430936381516,0.30649113246111037,0.26858285695533024,0.32295394173667075,0.230094319997644,0.2461567773492796,0.2175666670502196,0.2187413887509628,0.23192958872544828,0.21571613828753183,0.2794792271185205,0.20981556587996267,0.2379966738828474,0.24141304370090844,0.3323913841018886,0.23852496755596617,0.22332061270467474,0.22507138097060983,0.1967844543044079,0.21923793619541163,0.27736435870286325,0.21787364988172797,0.20755338750676502,0.24279396086459726,0.22585144203774582,0.2221290634489209,0.2231896297387399,0.22104366925915528,0.2326793815649112,0.22642634833643135,0.2317180807008103,0.2663856466491578,0.20922839212850988,0.2406243823064742,0.23729324235089977,0.2169300992967395,0.20462914799208537,0.2440432175392617,0.21926084885216895,0.2233066363379119,0.21969999555102696,0.21901737304040514,0.26220840392384637,0.26338555257566515,0.2803082550632729,0.24631549231396702,0.22819377554953243,0.22197154385146695,0.23359986917216477,0.19680833206360793,0.21326314214370512,0.19196802142436217,0.18114593579656502,0.22414624429545807,0.21286192322561265,0.21868604743025455,0.17912868080603314,0.21479805873940203,0.17283957091300806,0.21575712322711943,0.22123196844509382,0.18243960272831047,0.15332429713317736,0.20861061302879733,0.0,0.21607235256880966,0.246461165723286,0.237141798176788,0.174953220832592,0.2289787429508374,0.2261262001614545,0.17290143714712183,0.2240775466723053,0.2373940537220492,0.22358508461191715,0.21633456020709912,0.2233187040874081,0.20470892012258687,0.22318460715697902,0.2190187515926434,0.20371743989207203,0.22097981301546976,0.198924382440371,0.21374714298627912,0.22133584612771565,0.21157839964441214,0.18683448802367617,0.22260556119114777,0.2283081363548912,0.23176823557513065,0.22661041276879598,0.23232269914417772,0.22780717350855328,0.19985094491729585,0.22838035634774995,0.22870989785648269,0.22329603226445252,0.22846979026275627,0.22156713408381212,0.22381123599741698,0.21838650130183687,0.2211710712423938,0.22369397820880735,0.22254173272864233,0.20853471310531801,0.22407612235405022,0.22236985687262714,0.22986026175322738,0.2218823326234761,0.22524368148330443,0.22421724379783062,0.21877904399072703,0.21878843921703583,0.22206341752206707,0.222861164105964,0.22815670486851267,0.22249474484934798,0.2216655317011444,0.22041030811877413,0.2308196868106398,0.22209770211514027,0.22379680632346455,0.2232010586769428
+119,0.2762295763374617,0.12118146041839173,0.3655958995835211,0.18308021496357763,0.3088903562415138,0.12120783849802369,0.2956147757571324,0.1848894089100378,0.1572510828531144,0.21714120849217808,0.22238377941995696,0.07653272656584238,0.28343497520134453,0.2030791947197257,0.17168033505338512,0.301127208391231,0.15662638263569525,0.20402932298243617,0.21060390145971483,0.19411557591352244,0.24496895675201666,0.24094548905153526,0.20543113976718885,0.18525548495588193,0.3173307404928436,0.34374875835153845,0.24584375501339195,0.26107187484617966,0.09033632528367655,0.09293417720040748,0.0648389532903215,0.2281215855960663,0.10560844092972824,0.18937984885826142,0.13182461158011097,0.06717666232191602,0.0745115461121382,0.18619095739144043,0.271830680295548,0.1094938732160372,0.18268208856486234,0.22420034991881155,0.13176709851417498,0.26582447140148535,0.22366944185356616,0.0669271483222024,0.07426468970159361,0.10837512476573741,0.07547802283170411,0.19773211959329268,0.22344442155974997,0.31289736068211904,0.2669030263096895,0.24243019898628215,0.07714516915852407,0.2541894652312024,0.10750437173602331,0.08719048968802127,0.20101125634421863,0.1326981264536342,0.11916043884017603,0.16066919101080765,0.20684595369802627,0.15775461273867838,0.07897170232398819,0.10692947044475927,0.2757262812511114,0.15003501792481108,0.11745443150794849,0.2326182230143743,0.16280951734756993,0.13167875297005113,0.07674966366056933,0.15389878789259287,0.22333178955769298,0.13995667587864724,0.049588965084616674,0.1707497380830356,0.10801735519056213,0.17011321668665205,0.22721355096120646,0.20215859791407206,0.13912525019275535,0.14758423302815032,0.16137055880458728,0.1651246971173016,0.074679192984985,0.0859802039200338,0.28578056691289466,0.07391898920956579,0.08771280682123377,0.23453759228877774,0.20572087189592608,0.1618116711443986,0.17496194507097873,0.12988424314269603,0.11495582924331713,0.12577553059131882,0.12210892571477465,0.14128090582879127,0.09055106456666863,0.1568390678382852,0.1687439915148099,0.08625101961618216,0.07559035736956081,0.11907590713177305,0.12662810031479324,0.10624378779996099,0.1346908106136812,0.13023104197745614,0.1504082635034547,0.13688350380386258,0.10433805449121268,0.08559055097124288,0.11271400802122396,0.20921861095874264,0.14339329993449032,0.11428200820183868,0.1666018566379692,0.10267333388277722,0.15072660809805846,0.20161831219056298,0.23341953617130215,0.2254193318532919,0.1903512424721211,0.25422553101070194,0.1187211284659125,0.1411359834856837,0.10575935105940817,0.11149900366349717,0.12947714804437696,0.0864891880510701,0.22226081417825314,0.13752043721200635,0.14235162713906457,0.12371763563436515,0.26360730138783856,0.1544277651816681,0.07495011236129952,0.12851051447788286,0.0932830478743091,0.0701776377296971,0.18805157600646008,0.07048799291425593,0.08112319444194745,0.1438602203709425,0.08097174324355842,0.07098635130220333,0.07216580595522362,0.08087142421801967,0.12298247213168298,0.10231922553792216,0.13128283373350272,0.27212868902628784,0.13505501996334773,0.21089455797289672,0.14871793202577183,0.1762774136907285,0.07368723271171325,0.16996425908349927,0.09604965383005733,0.07324622763237602,0.08276371178241593,0.08040378356913666,0.16895223482564142,0.1700924950370529,0.18933985077796206,0.13659017277578459,0.10329896906282211,0.06730246268570435,0.09930489670569488,0.08691358972296882,0.10474728960718985,0.13696904824736186,0.1081854026400217,0.07105916236153906,0.10251850701555999,0.11457461922755524,0.1719524755262455,0.07207720356446955,0.14244545745409104,0.0960587417258627,0.08735942225688718,0.13371526929909383,0.14762231632071315,0.07854593300457491,0.21607235256880963,0.0,0.2030283591991234,0.14703135730979555,0.17850956486861808,0.0910227659841136,0.13107959897207055,0.14445252701282693,0.08184280059970733,0.10387143885859139,0.07573598537791099,0.07035555520867434,0.06760614980476078,0.10451760350346334,0.08994612724782647,0.06548813689231307,0.07679463872280147,0.08588750167622795,0.09998312305593747,0.12512959808228472,0.07265078974710759,0.12461167312660724,0.1040657961578299,0.066482010811357,0.10256214791231398,0.0629133903470038,0.08314065527852361,0.1168692348198665,0.07894074790286335,0.07638484147669689,0.1564213692865515,0.09954220721660506,0.06928038522398788,0.06712064066852992,0.06765952540290954,0.07173385287362409,0.06818483657846551,0.06787354863272912,0.07313693570489056,0.06695071654911945,0.0842546057281084,0.07057028826213567,0.07578327318573762,0.09971410745458256,0.06828949036152687,0.07798074322281581,0.08109516385595038,0.07661018991651738,0.06864113177323389,0.07422066281147961,0.06677104524138139,0.09605800194146134,0.06607789503550844,0.06698613433207518,0.17660303125056345,0.1093506579685794,0.06922248983215269,0.06942701968878999,0.06637522968756841
+297,0.3374784189713518,0.20592750722618197,0.3568481014608782,0.22508759891280725,0.292890501423663,0.20691386455487795,0.2917872904960049,0.1878484231938369,0.2211193439972741,0.25610885231998604,0.27363949751822525,0.21127918687334168,0.3064747676777228,0.1754310026140488,0.1493513452144018,0.32753030323106724,0.23109708079546848,0.15850658832506379,0.26717203371762116,0.15544010219798118,0.2648579789964355,0.16743249250704526,0.24977482142713914,0.20373879994225627,0.2937705289762225,0.34836656775667196,0.23923146966439718,0.26902480651006205,0.20724671255334484,0.20668537007811685,0.2003040217314722,0.25075494147506844,0.21412857535815702,0.2462967746550669,0.20154641927453953,0.2072765248822821,0.21537814307223865,0.2390929894016991,0.3117433825618863,0.2039134359926461,0.23816346529657786,0.2355868536678355,0.20949157515755445,0.31716999235650606,0.2287611565722563,0.21136667897030714,0.21821313168354564,0.22407328688248468,0.2166022238664115,0.24995211122684818,0.2780026186798266,0.34798242019271347,0.31392552501384435,0.2991732093882029,0.2063714388524231,0.31953163197892254,0.1993758911364487,0.21175371164588094,0.20294733120279887,0.22769978282521566,0.2129135549503572,0.2440875973783558,0.21966976136616512,0.23018121256168564,0.20016381355048868,0.19388382495800435,0.27634954490273594,0.2248850656321665,0.2140837702701315,0.268889323592199,0.23047622606230886,0.211854370063274,0.2153780106400055,0.2549663274668203,0.22951574952078618,0.22322768035052384,0.20877567100179248,0.22970522355128659,0.18503351281376973,0.2135871029708384,0.2228069128111492,0.2742793815590231,0.23479555651928766,0.22896521843547898,0.24557565102627082,0.22905973624657464,0.21361212803034813,0.20540676977181208,0.2799575194457602,0.21475697166499402,0.2058221114574245,0.27987011268864515,0.26558009789193776,0.1752762421603676,0.2348787652764487,0.21589465738197577,0.21527885682652925,0.21886513864005827,0.21138378900572286,0.2148801901552773,0.21074929028848843,0.2416092300738916,0.24657895647404074,0.21007320267606938,0.20483792440761367,0.22320360688316349,0.23340496689599924,0.21223419575965494,0.19339751777985884,0.21919776747997305,0.21606400561569938,0.21804009070202013,0.21523768231845933,0.20304166253837394,0.2100110820487867,0.27911056227210584,0.2380988830826288,0.2170647982721904,0.21103688052014427,0.20998189546330082,0.21729109978714445,0.2831788441187474,0.30533436144015474,0.30258173260492854,0.26635186790156706,0.3217082602428388,0.21812303133768854,0.2292067932425494,0.22231936200076433,0.22422537641577933,0.19638904136241056,0.21515843793903008,0.2814839410357435,0.22869737844864443,0.23656920567270276,0.2377458434382657,0.3306668064395726,0.23750137888103476,0.2153257859225489,0.21533911594244848,0.2077383563768096,0.21176362158832895,0.27471878506440234,0.2112791719613682,0.20900719010798083,0.240550322212944,0.2153069162646434,0.21305618444760002,0.21380923401314347,0.20940831260844425,0.21189122195610582,0.21792632543906815,0.2276776729742834,0.28414496452295585,0.2160696652269256,0.26341800970125184,0.23624443885787583,0.2313779923131544,0.20281582422905345,0.253729041102642,0.2119568042298364,0.21277891429557008,0.21005798751211996,0.21079213884613518,0.25570076724315804,0.2569038302812067,0.2687652042725495,0.23298619841376733,0.22192744293595687,0.21372728270214347,0.2261129000724535,0.20846295991662467,0.21161321665675364,0.22628974828396325,0.21696853673253397,0.21397306661648613,0.20787635177253114,0.2157198097539022,0.24097176510849116,0.21218143838058381,0.231627586971606,0.2164836478590339,0.21304735964363414,0.22814155033908115,0.22601191687181302,0.19546407540413402,0.246461165723286,0.2030283591991234,0.0,0.19987484232104527,0.251610083621566,0.22328829523467253,0.23114857737124236,0.2329111177075908,0.21421926406684888,0.22818028185394074,0.21587789667513618,0.20955747281397175,0.21322618273915814,0.21549701015563996,0.21508553434878272,0.20927928246014976,0.20373368944561587,0.21195649702566108,0.21586276836191975,0.21599255987361127,0.21187486507053435,0.1764275267444784,0.2051678329127106,0.21342824921532058,0.19763373068794557,0.21216870613685354,0.2070499749196559,0.22799520286503044,0.21631967016692016,0.20354978963123974,0.24003773078975918,0.22517095841817808,0.21387944587456537,0.20915137097063208,0.211839079397861,0.21492407664651508,0.21069110743230263,0.21352542195861762,0.21332345824648696,0.21198807483164955,0.21212984351937664,0.21228071798783316,0.21255529463074724,0.22118723077840724,0.21345216047965368,0.2169105945659682,0.21647876658944484,0.2097271745848618,0.21256133238397798,0.21524480847891453,0.2133583424283898,0.22400772502327101,0.21353171838271315,0.21317345571404198,0.23817272753299654,0.23061958213507636,0.2130163918469364,0.214486804754874,0.21359598461606127
+199,0.3050189091866936,0.16236254926012103,0.3717002945596896,0.201128904582238,0.2907915830331437,0.15528243826490787,0.28839864142983074,0.20458879661368418,0.1621094216454687,0.23600348108044902,0.23012474341101044,0.1460261475727298,0.2910650277896735,0.14420790476998813,0.16385496509481204,0.3000110466691307,0.20485423659770108,0.17605978092447988,0.2298361652814177,0.15967220384056888,0.2468895349871897,0.1886557371026528,0.22550510153270298,0.2114163323081862,0.31018812461922607,0.3366706199602384,0.24642762069596114,0.25788215202501036,0.14967113922267003,0.15089941692978193,0.15278465521207926,0.23861561828217456,0.1546560202214478,0.20601265560301685,0.18645429046877338,0.1424686830603778,0.1460614285514062,0.21586026633288047,0.2708276045835535,0.1621792213453108,0.2056305567441383,0.233267891031722,0.17036157559585524,0.2808504097237089,0.2417404426001368,0.13796598766320803,0.15021805121449652,0.16405387538311092,0.14991091007165874,0.21281027499434993,0.24786360194287724,0.3137238855726852,0.2861625899108229,0.2722370956716725,0.12634991838761594,0.2831031117809675,0.16534979438708533,0.15589044942293692,0.2195211339874502,0.1787129500857072,0.16617702060287964,0.19369161811725535,0.21547933066000624,0.19105072843989038,0.14271931510608776,0.14651391018454216,0.2845314705350002,0.18244612608395497,0.18184221217129207,0.24919388502901577,0.1980294747059053,0.1903349766060009,0.14932425483448322,0.19890419567822648,0.2276558716838063,0.17694151519657508,0.15281911373346266,0.201261715889509,0.13832462394928277,0.19317083857990774,0.2283405064949259,0.22997739863108949,0.1822365885185448,0.180955503794802,0.19484442315903017,0.19349508092856932,0.14436423597652723,0.12213205828592073,0.28590432064434457,0.14732050965435145,0.14428325685233656,0.2495983365230178,0.22635683793356906,0.11134646130210826,0.17766693955689114,0.16623968620240612,0.1578159371919428,0.15790942275747805,0.1635739832000705,0.18901257639939828,0.148062855122942,0.19968420620938346,0.20350974187885326,0.14671784197471674,0.15618176149985458,0.1512735091487353,0.17407247360816877,0.1357334349942331,0.18151759795980202,0.15872103934094545,0.1854497070919543,0.16750096685572688,0.15558780913635464,0.15080758207666764,0.16235532164909244,0.2410060825087204,0.18466523948490876,0.1588029349230636,0.19219776583633916,0.15391085010724706,0.17999897948017676,0.24381142891915225,0.2684117395437158,0.26168100032777547,0.2275813424225447,0.28640600444566033,0.16763103760582848,0.19329484294135243,0.15987006007485963,0.1588427087216347,0.17675201417335762,0.14715163039482024,0.2417015487381171,0.16983067940515512,0.17355298041517225,0.18001576559421398,0.2972484523697967,0.19555229923589562,0.14200227463574025,0.17402780799598244,0.15102978675228623,0.14596053338465498,0.22800151964312912,0.14440894392297215,0.14706453588353166,0.18415107847986628,0.15156009133104648,0.14330263514880293,0.14445994995303252,0.13516614264646887,0.13573325068786424,0.15888286257539705,0.17450452337138367,0.27295073486301297,0.15647644704302738,0.21985526551229198,0.18501563899161272,0.18506797737836617,0.13994978088136387,0.19845994941386505,0.14844649837610133,0.14048981115753395,0.1493616780062612,0.1462565441139212,0.2115303817535792,0.21066930927545963,0.2346964494004756,0.18962409814218578,0.16388934229032728,0.14552150327274327,0.16220401203320434,0.1504099856427132,0.150287901386216,0.17257585967552744,0.16181869209764305,0.14592402286632883,0.16041459151235138,0.15786636805461357,0.20388872400702684,0.14338111712482357,0.18234413059062904,0.1534457901319563,0.1478530608608831,0.1807086904295975,0.17947854662885687,0.13627485815875562,0.237141798176788,0.14703135730979555,0.19987484232104527,0.0,0.2058028090131784,0.14967602001129202,0.17246024685333816,0.18540881478896976,0.14879264825109176,0.16338847269136805,0.1485167929807103,0.14033126379331165,0.14502757146309384,0.14726281385882828,0.1516565789503614,0.13364859431492096,0.13924533346072948,0.13725845498791053,0.1531502999670567,0.16543899438490167,0.14439208271580783,0.163467006494908,0.15054566202125588,0.14534549502284974,0.10660276440948553,0.15511798759236514,0.12961580435254855,0.16722932710202054,0.15242136873794013,0.13503199958615703,0.1873509485722443,0.16214778851315606,0.1469067055780218,0.15473636803551558,0.14415618694974083,0.14595262741711507,0.14101273627180136,0.1458357000994692,0.14545481015011863,0.14256000366177876,0.15062282095313373,0.1473207234781789,0.14539608144844063,0.16293764860947896,0.14554509127375198,0.14908043811269833,0.14614106819763273,0.13894714912104544,0.14361338942694124,0.14264311128483845,0.1456181464316826,0.15878478657311465,0.14563752413317138,0.1449784976576696,0.1890596109007233,0.15782473773444813,0.14372943004466518,0.14571391632329467,0.14443606720371516
+239,0.3273153942281607,0.17473156054178968,0.33214195074388203,0.22425328187087934,0.29673343795740514,0.19026481109556403,0.226111737985786,0.2128098907058575,0.20798298455010192,0.14091241572332178,0.22224728748677858,0.17487674157291652,0.30921185079419466,0.24951547888050044,0.2276666531574517,0.3291825658981698,0.2215788508022117,0.23080087538508157,0.25527906465384287,0.2338137960675322,0.2062314673232522,0.26472427546330324,0.20137068946575418,0.22734394724020446,0.3265508030104175,0.25570914382128707,0.2625030690220059,0.27184309420799274,0.16224256391833908,0.14448662256595546,0.17351817821122387,0.2625871925801902,0.18192454687011386,0.10582832455273455,0.211754404287374,0.17344400256801384,0.17854031737356882,0.2281565276117279,0.2537110286843488,0.1848864736848605,0.2429764422482649,0.26019443291157074,0.18788879538474954,0.30425263743598685,0.25306608417442106,0.1713601982163349,0.18260134396485073,0.1932128101573368,0.180828236492422,0.22982947276034824,0.2682697793781399,0.3465375361057352,0.30572711924551,0.2940123178974162,0.1809650953123811,0.30683571749530064,0.19151045188224747,0.18501669707539453,0.2234062097799627,0.15537343104893375,0.18888831234833106,0.22280520300350307,0.252187667821181,0.21409845109289186,0.17609911787621793,0.1813204912339654,0.29799262762217615,0.19952308465516555,0.19780391714176043,0.2623084765049488,0.1413797744743964,0.2078747808230637,0.1795051739727741,0.23330213971232955,0.1867207237031074,0.19993931907782816,0.18219175022460599,0.20913689242574085,0.18164011540101574,0.2321664363469261,0.25755001457592525,0.25685803804313134,0.21494679343486436,0.22658357223403777,0.22715168851317907,0.23014113829661192,0.1800666555892145,0.18191362452132645,0.3160040293301683,0.17920163649920667,0.17954824894396876,0.27218330019713066,0.2272141505833072,0.22160312927119788,0.23069512531392086,0.18482113556806207,0.1607502673435166,0.20327246408778762,0.18882245923901705,0.21993223216431304,0.182512337609659,0.22403535443232972,0.2273626785794483,0.18030604368603634,0.18597065855531145,0.19511886657705702,0.20368465100623312,0.19472895923502256,0.21502690910086972,0.20444821049115747,0.2195768542781614,0.20368686917212667,0.19192068565400705,0.1700313812433614,0.12752789052389754,0.2710912257527753,0.2155102301994981,0.19546067207935297,0.2124561165633185,0.18714621535623027,0.16631808258808023,0.26391098739281466,0.29053789363617716,0.2866481006561911,0.24791757846416473,0.30683455622557404,0.194065339940343,0.21995128985385753,0.18874934958894665,0.18519262137490813,0.20590954435649095,0.1815259865713925,0.2777444816803819,0.19798259292491435,0.20501921539540172,0.21098130877476198,0.31255212400787796,0.20904603450811607,0.17527776157390898,0.20035187762080023,0.15656674583316507,0.17781509504596663,0.2503555258993706,0.1791047419095651,0.18056829565017854,0.21574657619230755,0.1814178346861973,0.17657923688106095,0.17828908704569943,0.18029949410530346,0.2021905261772101,0.1865408223533695,0.20536980110793113,0.30092740797536544,0.19963329443968292,0.2459738926176072,0.2170523527093629,0.22581617582432278,0.16304268955965398,0.23212972780416732,0.18799524371447685,0.1782769299229744,0.1794105986879716,0.18070548526862917,0.2286130837294451,0.2294665008871297,0.25195948049763045,0.21080274388299455,0.18819509867577344,0.17672865777031108,0.1972430088295516,0.16436660885000706,0.18835420913443338,0.20583751927774488,0.15467322182998136,0.1787121040419088,0.18432862693650018,0.19026618616313848,0.13546962734102933,0.1754025093256514,0.20086353007679858,0.18509027160587546,0.18319099949770143,0.20332510456990824,0.1671805804570991,0.17117847846491208,0.174953220832592,0.17850956486861808,0.251610083621566,0.2058028090131784,0.0,0.17689385100876986,0.2004559765310022,0.2043801781477662,0.1825657837914561,0.1880473638833869,0.1799825584773534,0.17696271032399719,0.1767883397971929,0.16954710754301655,0.18604501579287772,0.17544098043900141,0.17305800872853114,0.18086255680013988,0.18652589045897158,0.19640224685321656,0.1787833145543716,0.20265992925959575,0.17830041600261173,0.17593495770826176,0.19083563177796606,0.18952678222639327,0.18308475063016622,0.19070372862591953,0.1825895985866144,0.1699301812996002,0.21557815505958586,0.18909327577284946,0.1774737864118608,0.1874121951949298,0.1768790672182076,0.17817266338735327,0.1746118204860708,0.17698373755412475,0.1789022463169532,0.17633886686879777,0.17758972128560468,0.17758777572323686,0.17944390778511748,0.18514345571499197,0.17824860945688167,0.18083685419563522,0.18177527959562842,0.17724364725008349,0.17640318506795138,0.17840421696781542,0.1763514701957995,0.1883812900297467,0.1762907840431032,0.17599888100012828,0.2277916824855632,0.18957797894391296,0.17714263351289763,0.17748241093391554,0.17650561826257777
+147,0.2899707413974568,0.1278967969644739,0.3723841553574016,0.18764436995266642,0.3082279401125867,0.12673884731252064,0.30400836968875017,0.18596472382549087,0.1579051638750286,0.22389281206194644,0.22357966432118975,0.0760724745132171,0.29050135934307497,0.20449508091033516,0.18600322635735925,0.30441444092015246,0.17624974799730186,0.2108007790388695,0.2152914612727599,0.20094131339842075,0.23267497312161628,0.24569495142135658,0.20715735086735595,0.1976805898732494,0.3260330066065466,0.34453977757174936,0.2490224848934093,0.2683782731649638,0.09651972595403584,0.09764154509437419,0.0991647012232983,0.2330235338298677,0.10933576033992902,0.1917019791037203,0.13286614367427396,0.07897933251500865,0.06347771355002305,0.18596342352901218,0.2691053434454878,0.12082418085137364,0.19717435661645555,0.2267772275174617,0.1390446365371768,0.2694547819838652,0.2406118621019809,0.0665656511488803,0.07741875032027365,0.10992171119022395,0.07462828723393407,0.19883261230537558,0.22696784993905492,0.31552975786637877,0.2719347073386889,0.252778245085811,0.07871406313587435,0.26461450597553293,0.1228313206814828,0.09190878823398917,0.2147247847675152,0.1335540037484453,0.11402072392789132,0.1588449253239159,0.20819409293409,0.16863129003653482,0.09273459042357207,0.122718848841725,0.2799752696165612,0.1531770559835267,0.13990263703800435,0.2290926000793882,0.16337782202492254,0.15419736714496177,0.07873072955726511,0.16182396981039812,0.2351760515223621,0.14160870202624942,0.08626449402505319,0.17436696872849805,0.11136852838835982,0.1761110213031933,0.23812038757821608,0.2055835319246432,0.14467489242490847,0.15789510210024182,0.16243624096684312,0.167484140077314,0.08024766135640153,0.0904938131690745,0.2926542263201063,0.0647229478208398,0.09736542097076029,0.23770006594053442,0.2087143002746099,0.1645043013488591,0.18117622515990522,0.13344961766651728,0.10620036275733136,0.12610618588710307,0.12478840131733958,0.1609471108847244,0.09024639208697244,0.1626350937931191,0.17976218014236067,0.08549073947638534,0.10712380121526235,0.10866048309924861,0.12599938347811082,0.10758308609476203,0.14417302095825393,0.13188265537842322,0.17038516945266563,0.12364462235985557,0.09883725461520525,0.10318139497597627,0.12022677710229372,0.2177826994378994,0.1498012257373997,0.11353871962022247,0.17924073752172962,0.11388872326523872,0.1656296777680425,0.20960332858110278,0.24610215659084075,0.2383580275571465,0.20047511276991234,0.2628837532464398,0.11857752105212466,0.15612761130776698,0.11158777070112652,0.1157644683670268,0.1362458788927741,0.08402323110915817,0.22849074776012626,0.14009970029584418,0.11986856284544872,0.13646421541504214,0.2705401598153668,0.1490172932452543,0.07335549718500325,0.12150135830433169,0.11917002089957617,0.07470843430916625,0.19410587986617467,0.07483213184844993,0.08497940797940357,0.14434548342197756,0.08310926668337175,0.07224484273366802,0.07784926374512796,0.07045193731924221,0.12331851755455632,0.10252234343167844,0.1383362305729181,0.28256527330242703,0.12934911972813254,0.21218619445496817,0.1518860585219829,0.18678284177142235,0.07847196598636035,0.16839785763274606,0.08524658112188399,0.07064482957883164,0.08963679190243452,0.08794435991469028,0.17477709287641943,0.1734543416889147,0.20536274342029182,0.14505069045495456,0.10926647383875097,0.07402903104656765,0.11081573296339613,0.09695722840476112,0.10838643529119085,0.1261560021732202,0.11245313968189682,0.07741619606500108,0.10970297870839603,0.10265324868527556,0.17677870469646043,0.07740253505109836,0.14630821289477278,0.10079479088180603,0.09276261304975118,0.14342343764691853,0.14500090822507608,0.07837631194260629,0.2289787429508374,0.0910227659841136,0.22328829523467253,0.14967602001129204,0.17689385100876986,0.0,0.13654657666282272,0.1503930780366428,0.08797130115764498,0.09204192727621698,0.07968020715589037,0.07388757485122945,0.0713318233524705,0.09791591230182782,0.09468856889206961,0.07703713361076726,0.08712302735144882,0.08163214307135998,0.09853348442778319,0.12308169484435633,0.062345873999418655,0.13453695592386092,0.11916970825215317,0.07389428554241,0.10563005139545646,0.09794825964482813,0.08499700381245427,0.11881060267925833,0.08297878508369254,0.08467550787138395,0.16318319786720986,0.09713299081138717,0.07678111057157085,0.09451502998713354,0.07440626226209085,0.07011365890668218,0.0731977883958144,0.07407848285372101,0.07630402430636056,0.071773714629958,0.08990448458932587,0.07656194635175323,0.0810535826929463,0.09111757063726755,0.07316437798024554,0.08337061583875807,0.07470612083929981,0.0771038898315225,0.07493959687172297,0.07816827008821618,0.07394812082486137,0.09837422123382143,0.07430605895997215,0.07277431420490593,0.17923126671953962,0.09930389793286924,0.07369264715246378,0.07573110910248963,0.07135385360128318
+59,0.303170090469295,0.14112258438392025,0.37110447661830115,0.18767918574346643,0.30604601569107304,0.144250909519383,0.29166734068883915,0.19951187126278963,0.16789312871491388,0.23070925679046325,0.19551079861321333,0.12118585537272027,0.2863296891679401,0.2192045119821194,0.20163598341752764,0.294537824480169,0.14376002989706346,0.21796486265221418,0.22248734155201264,0.20228120099984723,0.24808278970892852,0.25272374354239924,0.164515173530587,0.19191388252167776,0.3165898430352941,0.3368023992054752,0.24716581598810272,0.24484461012929873,0.13065880281842165,0.13239787596622352,0.12885377534764147,0.2403319119423009,0.1338239988479613,0.20258414957211604,0.1681954141143427,0.1147950047789072,0.12420762603745814,0.2009671688505232,0.2322881089810325,0.12858579009470444,0.18895382147162743,0.23339460046270635,0.14504789364990556,0.28076611210874003,0.23152654656644348,0.1160120568708346,0.13051841360990263,0.1365744898372675,0.12501334049086107,0.18262889407115004,0.24110489934458093,0.3265102792026274,0.2836203475077643,0.26798994325944064,0.12669653373037848,0.28074977227195524,0.13612547532947486,0.1330872217451179,0.21727244888827207,0.15791211014140596,0.1523608458774494,0.18551985404327254,0.20927731267752747,0.16619209112221864,0.11576611775691933,0.1359757133187037,0.2699737271530714,0.16757595699046596,0.16153846838044736,0.2330577692237715,0.18347376925893635,0.17097438607208806,0.12643711883930944,0.19343385362215357,0.21273333984436965,0.1546785831696313,0.1292318403895958,0.1845091041863005,0.13840353374440184,0.1578799520727627,0.2235478194670843,0.22426481544932994,0.1693464391865426,0.18816959471717162,0.18880892656224246,0.1917478724606171,0.12626285295000764,0.1245199222245918,0.25061158977572395,0.12451184831205928,0.11106860361591017,0.24160273981224142,0.1649307444347183,0.18273879390756975,0.15017811995683425,0.1310201706120216,0.14958139763541953,0.14886345465885753,0.1298803842076948,0.17958124615721305,0.1295784226902433,0.18499625868507696,0.15094898648052216,0.12631907570445977,0.1380044441800407,0.14511670965531165,0.14590081867807247,0.1461120087598548,0.1710636805260223,0.13720568033148786,0.1789416972536693,0.1583609322167712,0.14199259644122184,0.13801693588893724,0.14607560505917927,0.2406925344255129,0.1745783497639266,0.14210540903284416,0.16235983694624712,0.12856027376106396,0.17009016688812795,0.2331085506423717,0.2625470136049032,0.25646673502758516,0.21817943230189313,0.281891517510389,0.1514700834162432,0.17918399245052358,0.1093332000839246,0.14059145765698514,0.13772061512629302,0.12036404960828222,0.24287304126793255,0.12007553802892959,0.1672451187850619,0.16764125572543964,0.2931481641763045,0.18497711660713206,0.1247141984059516,0.15495018354583198,0.13253617309738092,0.12308038127858566,0.22336059097248337,0.12058967820037698,0.10886205472168145,0.1718062327956883,0.128408311386595,0.11874573509672959,0.12279137684128852,0.1215141077550489,0.13996077642747656,0.11226643259420106,0.1117269558447675,0.27437570129140854,0.13307671374670318,0.19918522730736815,0.15657222745244231,0.16919927240472238,0.120190791091795,0.19053766944930808,0.13266521749793012,0.11992346052136725,0.12643827619515274,0.12441105234513486,0.13209009883713116,0.13247756293744412,0.15729941275542775,0.12729210591708642,0.10033125836089259,0.1220523950612668,0.14821425461000254,0.12026511874977037,0.13333565025299332,0.15697523491417656,0.13488677116875628,0.12382955138257515,0.14048771960949868,0.14128271184904065,0.1903362729276935,0.11140080908529428,0.1568615908239687,0.11130502186802418,0.11779969610329723,0.1476647381770875,0.16160990384921525,0.12248350523049117,0.2261262001614545,0.13107959897207055,0.23114857737124236,0.17246024685333816,0.20045597653100217,0.13654657666282272,0.0,0.16199706192613156,0.12888332425255544,0.14996024221605875,0.12131149155197092,0.11845131622929088,0.12189420091922555,0.13894777491184845,0.12963755820232362,0.11855988216662526,0.12333752812527665,0.12269336438531592,0.1313794497117296,0.1499309457554276,0.12403481653221873,0.15011886498843452,0.12877000666025062,0.12035898893618091,0.14131244776024457,0.13873251234750067,0.13055714287781225,0.09543590431794512,0.13127795180982285,0.11796120308985021,0.16418457021112004,0.13950615522788065,0.12209199062173727,0.1362613738309702,0.12110332559793524,0.12344891841463171,0.11669836734343848,0.12086760563037444,0.12423563942222288,0.12019897494875045,0.12601463895985376,0.12268244002520855,0.12517998764056848,0.14610732073717725,0.12358251413676243,0.12412804366014124,0.12391633128759903,0.11554299789547658,0.1200735362895166,0.12306075458517209,0.12012666019412262,0.13826779021144203,0.12062628303545975,0.1196741221909087,0.17894057534531013,0.14876660499098474,0.12149929950766723,0.12260197347190396,0.12120192491507445
+203,0.3098023786880111,0.1625667901842147,0.37828568346834973,0.20286643337345278,0.31199620804298206,0.1565658606761858,0.27170750217571815,0.21158462883814524,0.1874725168675754,0.23993285544281645,0.23813829911344078,0.13387855827750098,0.28866081274280325,0.2272403031499334,0.21179455814125894,0.3032062072911665,0.2000911158881957,0.2275095804722165,0.22790033208343763,0.20786592740496873,0.25786314245808445,0.25423815479802564,0.22148927825072184,0.16384066983686688,0.31389054084594675,0.3469316311684209,0.22372021156150465,0.25586625445282196,0.14790223474871875,0.1426556543782462,0.13411872026451505,0.2234182089185009,0.12372666256326856,0.21577540507261264,0.1794155955451704,0.13363211226732266,0.13777473738728366,0.21309327412286314,0.28853399866621243,0.15044671011684946,0.19659324106637366,0.23117022675256485,0.16363361861837145,0.279270122143868,0.2383710088517975,0.13462236582796866,0.14439817694348123,0.15195977758473345,0.14019974978080935,0.2140310636212549,0.2452665451148818,0.3204415425936365,0.2765049409827569,0.267140721468543,0.14118135035661675,0.2849050308491222,0.15580060102484078,0.1388781423182139,0.22197646413321526,0.16363033094269006,0.14566788274514386,0.17642528297536908,0.21147979910168732,0.15281977647543968,0.1324936440400848,0.14739333924814849,0.28054520940427613,0.18509565593834007,0.1754625345204688,0.24996267111142667,0.1881708622433503,0.18369709456756778,0.14039632875691369,0.20317161392183739,0.21266584183695852,0.16886002019484284,0.1429448149811235,0.19759712957186196,0.1561017911723239,0.1944837246019223,0.22475945905849057,0.22473730994182717,0.17512066950198488,0.18668717608449023,0.18494154425697817,0.19011392447562384,0.14059614824076122,0.146015822890639,0.2984823352002268,0.13884747454717458,0.1323290586463347,0.2414429421059836,0.2280448196724145,0.1954102191432957,0.18446296797405481,0.15860395265035557,0.16230712966570493,0.15724851412658986,0.15511382904852605,0.18480646383924923,0.13475802520065291,0.19550667734529434,0.19694896943508886,0.13941970831553396,0.15172273939536116,0.15829091427262523,0.1646591538104862,0.15838682579013852,0.1731262770856819,0.1545862806185952,0.18146444663252287,0.14080601226648595,0.14738762549297058,0.1578116760657852,0.15973082659555723,0.24022090338731164,0.17902947360832522,0.15599041331983193,0.18283307683317795,0.15287444100347652,0.17880951446743915,0.2409474238271397,0.2695735373129249,0.2639317473505729,0.22534705831869603,0.28795482808164297,0.1636406267032694,0.1848455947236631,0.14236527843832605,0.15543660970714343,0.16198813458574032,0.1348183945820335,0.23824683066212302,0.1570111378668066,0.1804412287090746,0.1779703725825293,0.2985830948001587,0.1881987131120236,0.1418708246118675,0.15772329587890127,0.15411035722564723,0.1302346540994127,0.23089255698327332,0.1337033198509955,0.12909579131122942,0.17523160502465068,0.14045871442343294,0.13501850756892256,0.14004409302035872,0.13978759813787014,0.1674732762827332,0.15221923491598852,0.1698926950316729,0.27776367363252397,0.15292440063141488,0.21728390856992688,0.17218286975750255,0.19049691749716569,0.1355017172016458,0.1825309503131845,0.14592542932413125,0.1388745059398714,0.14334818707751049,0.13794383162014143,0.20434164177214947,0.204505824574115,0.22885092334829474,0.1827665293505748,0.15491829584371244,0.13618893221440295,0.15912162072978292,0.13430087524237166,0.14739751440916835,0.10622882417664657,0.12952154329739549,0.13852362575644628,0.1473524073973487,0.15232833132672025,0.1999421066982394,0.130351848722826,0.09366886669206842,0.1358309087786457,0.13785217603320848,0.08077462636965813,0.12016059402776402,0.13724814515287892,0.17290143714712183,0.14445252701282693,0.2329111177075908,0.18540881478896976,0.2043801781477662,0.1503930780366428,0.16199706192613156,0.0,0.13684356401368805,0.16166441963031125,0.13655029428379925,0.13448237614097,0.1367788294614911,0.15079020742421262,0.146373054960976,0.1352598564482499,0.12186254926599538,0.14356479357123406,0.10925080159827102,0.1514057793476356,0.1377192298257684,0.14274588162780041,0.14369473608712335,0.13568959345794548,0.15503034063025314,0.1500945544089322,0.14365340944668628,0.1612972982018837,0.14381756638081453,0.12578891884358498,0.19012982081268429,0.15283514097720624,0.1349826572362115,0.14757766865745545,0.1363253317970396,0.13767361753041404,0.1332816820529387,0.13537625420942814,0.1377502574208095,0.1354646908196917,0.11647185029710541,0.13773492173143076,0.1382252771703009,0.15258503001866944,0.13751311081926404,0.13915850090225843,0.1412561740662699,0.13719469154664923,0.1316171377584344,0.13735886454764834,0.1357542931596005,0.1513735123123812,0.13555014582589672,0.13353721695318352,0.17348029671518642,0.15561651066903762,0.1370990515064849,0.13641735671753363,0.1363398537148513
+231,0.28641037245856454,0.11779753268225801,0.3745464984240442,0.18649915587152396,0.3147856437495629,0.12352546165669066,0.3042876779640905,0.19215796685968006,0.15705111587813353,0.22604657307043047,0.21930264335443528,0.061609317244540204,0.2858146963158598,0.20077348632983424,0.18163852897682148,0.3026599834251691,0.16876245856954772,0.20156879600323252,0.21013865522505518,0.1925250676664243,0.2494276259782655,0.2406598433063883,0.20374906684930136,0.19391246691796496,0.3213826167994104,0.3465407029465915,0.25526757736858935,0.26749130742260907,0.0868889591633844,0.084368824328873,0.08393819819869063,0.2263778035760818,0.10477176354916577,0.1945672162423043,0.12642929996645377,0.05839701002660511,0.05959326593335324,0.19172450977775002,0.2768402176176804,0.11166184715033117,0.19747511654004035,0.22783086490057355,0.12667358823904626,0.24863022001510743,0.23885284056605177,0.05916747583990014,0.06969749830167192,0.09385839495078957,0.06599739438972715,0.19572002071755268,0.21217859814533294,0.29514538951859864,0.24699633737290572,0.22891248345529147,0.06095083066549237,0.2624083850087021,0.11937805022338545,0.06035256327257882,0.2081348665698747,0.1318352033690236,0.107203373715861,0.14321837469568327,0.20813781624366268,0.15900795830935915,0.07601157701774519,0.11676035759679448,0.2798428582005979,0.14708999685731347,0.13185062425010544,0.23673662430823075,0.16261246323289455,0.14960365724566546,0.06536671719876941,0.16019002110267516,0.2327629035435052,0.1478141207451251,0.06787714127848211,0.17129848196105443,0.10182444901178041,0.16770927052386786,0.2369601157017974,0.17686877029392384,0.11997920803659326,0.14473237921067852,0.13340073221563872,0.1433222397745037,0.05863897742518167,0.07907871674411672,0.29449891376218823,0.05886355362903821,0.08086491655949613,0.23155104909721128,0.20808312983951305,0.15243033327837352,0.1779961090788711,0.13814264599093928,0.11830656826135616,0.11584047211752696,0.12834915490618887,0.1632682513420916,0.07610465196694216,0.16347915687535441,0.17202255749728837,0.07816084166828467,0.10587242598857054,0.11330336284827369,0.11631221224721003,0.09964683509720088,0.12128069510566743,0.128074297862378,0.16636750777236117,0.13359114738611594,0.09053429138771187,0.10301117945745251,0.1108797627636825,0.195265831726914,0.11604827514846497,0.0958151011875629,0.17391512067259,0.1045857626450931,0.15985856342617344,0.2070295988358793,0.24165430212922798,0.23425012645877177,0.19548703523743652,0.26157526777929224,0.11012771832850793,0.14407615331284795,0.10070113676092907,0.10585446542301673,0.12741683083685867,0.07991722897905101,0.22815372544792328,0.1396081580101957,0.14231623807655408,0.1288344116264461,0.2738230819529041,0.15820329509025768,0.06596648774700156,0.12596159177567928,0.1169046063707344,0.044201937008414856,0.19892748032261703,0.06463587432589518,0.07119636321920955,0.13711958699697732,0.06756830645830299,0.05178777565870006,0.05869418204886163,0.07164474745302185,0.12017383939841725,0.0923824224658864,0.13157553697721636,0.28029876410584675,0.1339820113574505,0.21569380593312923,0.13733173549252742,0.1812039000944693,0.06749551691975655,0.16493439256374814,0.09415558369803335,0.056751308113283404,0.07391753641188331,0.07250880936597603,0.16699369534728173,0.16735618643341402,0.19964291009595345,0.13811011617955385,0.09860877782056288,0.051260926146686245,0.10035576425962316,0.07800380295379937,0.10270691666796262,0.1341591065379535,0.1005319502448376,0.055036719434081546,0.10222799643563042,0.10718296608740246,0.17506934781216257,0.060354619455796676,0.13643655837898652,0.09089371632279258,0.07218346857654213,0.12758602308347355,0.14729819539396177,0.07109663452234606,0.2240775466723053,0.08184280059970733,0.21421926406684888,0.14879264825109176,0.1825657837914561,0.08797130115764498,0.12888332425255544,0.13684356401368805,0.0,0.1016593506545347,0.06175056431398804,0.06009404573953574,0.051626001546724434,0.11210838563662609,0.07569511851325443,0.0554153442831789,0.06814651919910408,0.0786814769750356,0.09400371327840326,0.12310944603599736,0.06310667209137588,0.12353067550359093,0.11209312811225279,0.049615353757096546,0.09492121425865911,0.08455306259733275,0.05875604813632983,0.10975723746920854,0.07132615591508588,0.07801021831218874,0.16337142247909697,0.08882345024239206,0.05319938677458766,0.07776250230939606,0.05158115278544466,0.0571351348230674,0.05131554677802019,0.05247025820429053,0.04295641004412984,0.05034323082105396,0.06586017220374517,0.05414313961964353,0.05233461356569311,0.09172066620767355,0.05683534311988092,0.05865664397700115,0.06474169278995809,0.06788979901065041,0.04854273877964557,0.053151025547104234,0.04952249444202471,0.0849044266720029,0.050103920970484724,0.0468206186310346,0.17374228142155193,0.10252587113564392,0.054747367239333336,0.053059369895895096,0.05055047185328089
+28,0.2663624989970491,0.14064363379217878,0.3632295601517191,0.20135346005700946,0.3158539374150374,0.13955590384040997,0.31431207917700943,0.18480514855575295,0.1737094829815555,0.2327180635224053,0.23424941725854112,0.10002664497356611,0.2986852752572603,0.2137340621293914,0.19664903958280833,0.3142834130540035,0.18483851027317225,0.21768641386716414,0.2241088424770094,0.21026463746512467,0.2586477708994709,0.25470678385940726,0.21984742828689258,0.20553834601815446,0.33239846326020406,0.356772316346891,0.2664049748461549,0.27647306459594245,0.11277971443772829,0.11240688149672068,0.11080184191456427,0.24495297373874972,0.13136155903380245,0.19869106511552784,0.1431907371073758,0.09278213037757371,0.09506170385567426,0.20372659913715163,0.286992694093837,0.12500772372355165,0.21280284797052842,0.24015371714312073,0.15132101862258798,0.27537697293377333,0.23961509913762302,0.09339050865753278,0.08585616261239842,0.12611232995452648,0.09565277175976411,0.20940242353917282,0.23293945356859247,0.32088359556020407,0.2775423572359923,0.25913003376308696,0.09356149766224696,0.2478746233621964,0.11834132463917738,0.1043633688543943,0.22034523534397274,0.15100592160841084,0.1067342384277624,0.17629192510687985,0.220232109159195,0.18255442181756015,0.10723139253220984,0.1384877857167898,0.29032625880501384,0.1658334457024586,0.15022647404040562,0.24762496865288353,0.17898863302715684,0.1663013394576652,0.10008812583630737,0.12856954554599218,0.2443284284188635,0.13524987676250658,0.1009065280383623,0.18765292839258402,0.12578658354453115,0.18151426017529917,0.2500232530555334,0.21250071877917698,0.14907707539823367,0.17353871783975686,0.17542969592726612,0.17643751453605552,0.09433935399071396,0.09945310392587373,0.30473168666939293,0.08777097026100031,0.11203494184568605,0.247873455909835,0.2224016535494212,0.17592643514638043,0.1931116784132822,0.1525048139394558,0.12721621208345973,0.14419003781535486,0.12817913300057274,0.1604068043495014,0.11323960069044724,0.1723109291746355,0.1917859206344105,0.10819450105668256,0.1253922775625619,0.13841017745805453,0.14125035365316846,0.12154431200242019,0.15152983145218846,0.147028940613912,0.17540647613366012,0.1539818926999155,0.12466408708544044,0.10572938536279072,0.13464095731494935,0.22840188667184322,0.15738886711708913,0.13225688154382037,0.18954434354008023,0.12346130336823788,0.17253499448722726,0.20468829666308214,0.23445542441584227,0.21498551313138933,0.19772739916205004,0.24773662393345824,0.13507559546166825,0.16685778607789697,0.12497203584911638,0.12773592122615746,0.14638243339460155,0.10768970719827252,0.2465579123373365,0.15784713845895504,0.15946325054161292,0.12445333072296044,0.24051250293764898,0.12402273849135044,0.09646511612102898,0.13267312549274887,0.1382211376391343,0.0928196500438579,0.14920709858412937,0.09818405332487679,0.10717026947176472,0.1582233828181324,0.10445043906901876,0.0921549541403263,0.09214911727655116,0.10432937270807913,0.13677639784514795,0.11913419967691172,0.151894939533955,0.29210399174258816,0.15416764507191547,0.22776007449916627,0.16381494318207393,0.19868321984238663,0.09310684628003675,0.18286594638284778,0.11614509081938955,0.09536490609717584,0.10612170968831844,0.10101258086913315,0.18336348751659798,0.18318380812638607,0.2117502644396035,0.15187063923277438,0.11813775145133601,0.08934831522105373,0.09144864421534445,0.11184872214884088,0.12473430220653274,0.15380441748979062,0.12814194848349703,0.08315349156763345,0.1251772946201977,0.1304933473594829,0.18901724750148152,0.09580516747597977,0.16079871276918248,0.11621354601357468,0.10929520722627449,0.152587898650039,0.1560461279573314,0.10098766301098161,0.2373940537220492,0.10387143885859139,0.22818028185394074,0.16338847269136805,0.1880473638833869,0.09204192727621698,0.14996024221605875,0.16166441963031125,0.1016593506545347,1.862645149230957e-09,0.09579265176384053,0.09346191686219112,0.09286302472042618,0.10286524417502976,0.10494427955391951,0.08428248359709796,0.10701227925055985,0.10952570992563189,0.11789838812234685,0.1440700642433848,0.09742669989514938,0.1419494605901685,0.13070215272083152,0.09098010164102764,0.1142500978287899,0.09024349816463965,0.099157885009094,0.13384593524394126,0.09521905447764495,0.10542485552482228,0.17918508854058296,0.116513410659138,0.09299507921751324,0.1067320528659755,0.087814094512496,0.09476320043894432,0.0925327372682227,0.09135958250257774,0.09679787970416494,0.09012609700311126,0.1064526926247059,0.09236456306950554,0.09471288177122582,0.06571695536384208,0.09342900345903281,0.09752482053984607,0.09934713974956849,0.09798272416603959,0.09097911058984191,0.09729820126757936,0.09092428860477249,0.1142312639645136,0.09046781800479904,0.09087534899701337,0.19339059630240296,0.12934830198345246,0.08917615297247106,0.09113960163390793,0.08913533414746734
+314,0.2852022043807847,0.1142861375258748,0.37460411621552003,0.17445501729719207,0.3155757587393743,0.12015855552305998,0.3046867773443798,0.18674109983963835,0.1574182078323499,0.22430952524707617,0.21992776029380537,0.06006603359602578,0.28974628103031314,0.2029098711348192,0.17503211147475264,0.3060155935490788,0.16724029146839406,0.20272432451874992,0.2121471988981649,0.19410978560503803,0.24819968444018067,0.24083317675111424,0.2054628806798752,0.18739724709566052,0.3251138352079987,0.34793194949178907,0.25478855858637306,0.2585810870430479,0.07763151641416907,0.0787560685237484,0.07897855767544765,0.23053203984785045,0.1014158628949912,0.19423285541743882,0.12599386173432106,0.0495954060397655,0.05050698550211618,0.18777374626857116,0.2762039531780198,0.10320055840349371,0.19471731459718125,0.22805138814037543,0.12738537424226193,0.26225276933680775,0.24029063755416005,0.05315393898028049,0.0625951817334618,0.07806261319409716,0.04411077845937263,0.17890199104348048,0.2248366180665535,0.3110108938265771,0.2645709688089351,0.24605149602072704,0.06045974766481268,0.26069267308865657,0.11600441863134589,0.0694999856273964,0.20571848539786783,0.128032848812167,0.1173942910279566,0.15512045421683912,0.20943080676013753,0.15267865164172903,0.05984654014230739,0.1117127564383612,0.2785634507543656,0.14455947814466472,0.1280191946330423,0.23471942269165086,0.15909927127543327,0.1453466715376976,0.05776404378865177,0.15788854095129384,0.2307792925212016,0.14642479045047394,0.060607674332094165,0.17056254172439955,0.08851508217711944,0.16003187160043567,0.2368943576652243,0.19532954842251804,0.12080148090100995,0.1545924081225123,0.15378353542621861,0.15873445355612914,0.057886144871796566,0.07316409842317943,0.29604110400573974,0.049949657671713305,0.08243012960819537,0.2352442243377288,0.20749780153659667,0.15633117737849045,0.177291684546965,0.12449511098896482,0.11542179034955369,0.11964393054056172,0.12565093326741297,0.1636307118077415,0.07950289323553271,0.16145230738565391,0.17312840420255957,0.07226866619147444,0.10178326917709783,0.11100955107141408,0.0848260563055619,0.0985922511528935,0.13315961595683246,0.12632790471633298,0.1659604299884977,0.13167006300233777,0.09297468431184905,0.09929183748742276,0.1069595858033059,0.21321731591597437,0.13617539403707019,0.10638988505107205,0.1648102675128109,0.10225665741610108,0.1587326935851503,0.2048095269413228,0.23838441448428896,0.23257688927355752,0.19356835955094348,0.25992915254147947,0.11046767169681676,0.14914141577838383,0.09564276984826038,0.11105268394560251,0.12160048651017236,0.07462478932778457,0.23461438713480762,0.1292575912382432,0.13846700095097825,0.12542782570811645,0.2725817004797477,0.15652602906405835,0.05145485421380049,0.12349172399593254,0.11378575338528124,0.04848767949391418,0.19729982513462424,0.05214514312904072,0.06965607379360937,0.14181934459694331,0.0625328873074642,0.04500711478517703,0.049858292037066695,0.0663671337468533,0.11711119841066306,0.0885541682423942,0.12863515388672675,0.28205168916034595,0.13318491447882794,0.21531049916012868,0.11980565614686599,0.18226499442841831,0.058902612552959484,0.1691707173922442,0.08937657289161155,0.048107771556905994,0.0669152283479248,0.06478922773039081,0.16431055644504933,0.16458217955316007,0.19747281223070257,0.13575020732279713,0.09331826562614644,0.046500769871198305,0.09616917897503514,0.067181666389228,0.09900642823266184,0.13082444045407898,0.10182337160853396,0.04597344483823494,0.09834928574139043,0.1099056950866957,0.17347129942225653,0.05152479988256359,0.13613001677764766,0.08457283998968047,0.06383352629738187,0.12813669527632812,0.14822297729485479,0.061377329704889655,0.22358508461191715,0.07573598537791099,0.2158778966751362,0.1485167929807103,0.1799825584773534,0.07968020715589037,0.12131149155197092,0.13655029428379925,0.06175056431398804,0.09579265176384053,0.0,0.054191703073700914,0.04531853104960862,0.10705643141619947,0.05801056815400928,0.046829685649570706,0.06891575035926599,0.07237201311697011,0.08937729673385164,0.1191504373000868,0.05660406358128259,0.12243003801964152,0.1090848338180562,0.03811872756759346,0.09406039642091499,0.07952083938341896,0.06742788833357422,0.10617504186499688,0.06547460520948334,0.0678663612237089,0.1643334793655142,0.08351657251814541,0.04390471869258514,0.07545425632520536,0.043032981600725606,0.04701589038363926,0.04523458054153719,0.042138815474368825,0.04975149290775193,0.03994632063624007,0.0665864173610897,0.044660260960067075,0.05250610692263345,0.09329554771554716,0.04705707797253764,0.050685316455898057,0.06318189451303621,0.06163521893576636,0.04329418524922218,0.05166595677842683,0.03896141070582858,0.07925539100055862,0.039647441565972816,0.03947548803934505,0.17446696784424723,0.10483301324213938,0.04195815683395678,0.04507143313765237,0.041284861408620095
+47,0.2830918244526164,0.11115187448578062,0.36900649444497363,0.1764709961212505,0.3068059082700979,0.11108966758568628,0.2936321801846753,0.18366674647549525,0.1470837973842093,0.2147054593129811,0.21023260086043297,0.044694091806806654,0.2844513667671491,0.19722932689734818,0.17664586557701478,0.30043159522796214,0.15979415217392182,0.19803880398153664,0.2085320486727068,0.18540760175617824,0.23734765940268115,0.23562337289373364,0.19566492871558372,0.18270870937155365,0.31652506098079053,0.3404676373069764,0.2412713085487548,0.2582878555239802,0.07733548866715194,0.07635808805480566,0.07549365265602474,0.22172595231021372,0.0949974204895017,0.18883653517846982,0.12059499941495365,0.04711088145464089,0.04938192260758921,0.1804951823879912,0.2630731981284537,0.1035762778356034,0.186324287485174,0.21694692089407228,0.121791188238899,0.25910507070288025,0.2286864683887529,0.04172632867521405,0.05886121125845668,0.09098116570468132,0.05271846087259415,0.1841553185737453,0.21839565933227062,0.30688903443946947,0.2612878189972222,0.24360972067790107,0.057532880678781304,0.25587144565851744,0.1110813389602574,0.07009352807644768,0.19884160916912597,0.11585247981076441,0.11312639538684882,0.1507009590404667,0.1957293624930278,0.15868873957491836,0.06516564642562482,0.10616027708043536,0.27097823783606917,0.13868993542839989,0.12474504686984754,0.2262474494593858,0.1506982226845361,0.1413890233364413,0.054836056199269935,0.1519286328293,0.22347918263540648,0.13638788942223587,0.062187825619321443,0.16288375745242775,0.09419341939690877,0.15923227865476516,0.22532558081038137,0.19327353163146663,0.12884834740311746,0.15257717529099135,0.1516941643038409,0.15664924753099937,0.051861847276259955,0.06809488328132855,0.28241932782802054,0.044345810843586235,0.07467367769735453,0.232023851319746,0.19671895684869461,0.15221837119013176,0.16877553014327182,0.12687222053412597,0.10912252814590609,0.11246666277938919,0.11191613730168615,0.1550516307043264,0.07339556113547173,0.15588158812042074,0.16270346917725353,0.06871831516324274,0.09830102870713917,0.10089379688978062,0.11272620847011859,0.09181301266118488,0.12567588725576526,0.11334138131104407,0.15884363879878866,0.12344851500925359,0.08759084055252048,0.09592822377101816,0.10448971646427015,0.2111812096117452,0.131950483984015,0.10136585333066933,0.16114908494795316,0.09102557559676369,0.15339275285994866,0.2037280744583576,0.23879527745819037,0.23103319045514475,0.1919344123542144,0.25486412497712363,0.10817881279375582,0.14764909168620802,0.0893766504329164,0.09824812663753046,0.11903227361238036,0.0688426423915769,0.22769598611743816,0.13133738606293746,0.1294219349822817,0.115138696893542,0.2705324767275979,0.15321658764144763,0.05421713010633723,0.10667208547429648,0.10389850465772106,0.04736726295691914,0.19450200674984444,0.044316996703183016,0.05897129701714105,0.1374276625778203,0.06305011254795602,0.042184690773440614,0.0447744272216676,0.05725958470189259,0.10994143656175773,0.08722801352885452,0.11609948563449154,0.27613116783669495,0.12103073054529316,0.2027129192197116,0.13226334526245537,0.16894388344440095,0.04758532615790069,0.16505809994474027,0.07548365699413405,0.047399884444548436,0.06522168304622121,0.06190360871444361,0.15962513426219932,0.16136367571055452,0.19238452304865253,0.1266570251100265,0.0864836455515168,0.04575020173556667,0.09412067369799987,0.07156548995628259,0.09106205830499069,0.12408967981108202,0.09717279206000862,0.04799601614620942,0.09139299102586092,0.10211460573492066,0.1647790410077245,0.035987783072721456,0.1305927699296869,0.07851076568041807,0.06275443465505963,0.1250212705852501,0.141515063466883,0.05991347034830241,0.21633456020709912,0.07035555520867434,0.20955747281397175,0.14033126379331165,0.17696271032399719,0.07388757485122945,0.11845131622929088,0.13448237614097,0.06009404573953574,0.09346191686219112,0.054191703073700914,0.0,0.044496961466022646,0.09724294195374049,0.0712429935168156,0.04522269989826242,0.06322884932379787,0.06621064873191672,0.07850847808594015,0.11135585450546166,0.04501976564869319,0.11269715426878847,0.10036964145302606,0.041116389346415046,0.09079059338002382,0.07800915979059353,0.06611484761674491,0.10049243772059266,0.05756128439424476,0.06033140635134509,0.1531755754385254,0.07173461095694353,0.046007342021897296,0.0741990328627072,0.045908350398395865,0.047834318565720936,0.04125500946814686,0.03672855322011873,0.05025783483991991,0.04184253579821364,0.06606485914838144,0.04725331416964812,0.05101717977352995,0.08638674883674695,0.035482452779352164,0.052701858571839726,0.05435368688272996,0.05080297218069723,0.0419886433873529,0.04417308458426964,0.04135039307509182,0.06780025143285885,0.04146601359888589,0.03911998249945929,0.15636661920697023,0.10065183578527614,0.044638130672416544,0.04402014290858892,0.0379491914420018
+388,0.28499622655130574,0.11223896236704511,0.37302437426374013,0.18078249972461177,0.31459326378559105,0.1140164319376609,0.304070748936018,0.1878417801995936,0.1533334187071418,0.2214286109685839,0.21812130096637114,0.05236394566024894,0.2823669978625521,0.199370771292876,0.1774273858185502,0.297102434482645,0.1643865309227394,0.20033016220870747,0.20321952135447038,0.19175978994942702,0.2466967071648836,0.23899128916003995,0.20340286976254016,0.19123591759722003,0.3243309667383451,0.3467499336568323,0.25408270447798853,0.26713760224662725,0.07583395484231704,0.07321593411443589,0.0747371881461692,0.22888778393971856,0.09787309335369455,0.19100178611370003,0.11544530177629722,0.042493733052077674,0.04233858511009297,0.18691970879681616,0.2744666584830339,0.10226655179599937,0.19231570144169247,0.2259272382003877,0.12315455798709456,0.25950133642175754,0.23621310783615523,0.041638061879179324,0.05334613388762596,0.09243068450459199,0.04893637475221991,0.19571546363466416,0.21470517520304602,0.3079510926362735,0.2612547353033187,0.24217849725944557,0.05090030894169291,0.26090960874516345,0.11119655301024298,0.060423478202439436,0.20400611955428694,0.12486996058787626,0.11230659085977235,0.15145999050881795,0.20612136443028556,0.16367917612466995,0.06522761130214429,0.10977354733317833,0.2783486271771479,0.14157193151587344,0.12354750818121521,0.23321544375746744,0.15736305355528157,0.14249566634764252,0.049495606318505206,0.15598210966678402,0.23008613183508564,0.14248739604605834,0.05119816810166882,0.1695730584907655,0.09197551923401301,0.1670048630341757,0.2341732211434315,0.19078465955869608,0.1263103561346321,0.1510771551718251,0.14918649083943836,0.15444270328377327,0.04722257048208503,0.0685952565771883,0.2956867550719185,0.03821997954797097,0.07562265352319508,0.2270827380585181,0.20444740795308125,0.15223382260823867,0.17122389791204604,0.1294671440181283,0.11105206394616643,0.11616349492960389,0.12216463979695,0.15951464212346536,0.07403296398477402,0.15772287308904823,0.1701042602342753,0.06685795696655025,0.09655633779670425,0.10635675567548408,0.11298577061876044,0.0916030313435282,0.1248032471998497,0.12465118083076866,0.16324078204572906,0.12878273566870255,0.08922147420070833,0.09443509914644022,0.10197606221786035,0.20928938550772283,0.13049424676362747,0.09547850184116956,0.1713779341558428,0.09536399276862792,0.1543936019594633,0.20371774930852632,0.23867568388481405,0.23193813518789613,0.19142222173954518,0.259535478757358,0.10106857041516745,0.13943597199693963,0.09182982539879388,0.10490355460906486,0.12060203108387761,0.06283436759185024,0.22331986329513387,0.1356530236893343,0.1362337838831163,0.12280423817299238,0.272129404519052,0.15400235912977756,0.05250005938549191,0.11891147502560988,0.11014681686923489,0.03643281985103969,0.1954925493929376,0.047911929406046064,0.06659327808242296,0.12655534116529712,0.04671555733498639,0.03656226802130689,0.04203620477307042,0.05755963790067125,0.11226754546514871,0.08413123544204533,0.12549841216209234,0.2765186582216578,0.12997354848217002,0.21382860754309302,0.1398420463080342,0.18027999509156756,0.051836262545205306,0.15561663047337268,0.08428667029937238,0.041385676303082576,0.05906566458894536,0.05653634179680059,0.1616700864607122,0.16235401983009368,0.19521888798526724,0.12746535581971724,0.08816625375214446,0.03137951565048792,0.0905194704810131,0.07097125782742861,0.09469410486309723,0.12878118341000627,0.092713149372248,0.038942656962819906,0.09386432390783009,0.10438500908588058,0.16910774629494968,0.043692075443592465,0.13571681608597624,0.07953645696087797,0.0656738871749944,0.12636261298468185,0.1463421619235119,0.05811473849469098,0.2233187040874081,0.06760614980476078,0.21322618273915814,0.14502757146309384,0.1767883397971929,0.0713318233524705,0.12189420091922555,0.1367788294614911,0.051626001546724434,0.09286302472042618,0.04531853104960862,0.044496961466022646,0.0,0.1031016871625331,0.06860954598946715,0.03634320416698614,0.06308434480823334,0.06623456859418299,0.08578361016937402,0.11623884994456542,0.045362681213307485,0.11855412393768533,0.1052837839390126,0.02518448023508607,0.08835456272737874,0.07392813937192866,0.057760295960556755,0.10235334665021995,0.05280689974372704,0.06728323087421817,0.1607434357383824,0.07796688666714896,0.031336606215406015,0.0668508199805816,0.02960983392958658,0.037555801666463426,0.026957945521861135,0.030590118832299493,0.036359105392072065,0.027339611278857177,0.05908688370963334,0.032506464175390576,0.03850182347162493,0.08667234029741674,0.03829523227909069,0.04886436079805414,0.05464355098009994,0.05352255984757933,0.028533471307933083,0.039186564104183905,0.02436902777914546,0.07344688316938267,0.02618018548755005,0.022239921076031167,0.17345330803673356,0.08785545437776568,0.03325046102908501,0.033693052482086976,0.02807860835271998
+88,0.2896090360970459,0.13337039571283243,0.34584190715494517,0.1797191564853975,0.2884960952735138,0.1235166005101556,0.2778319818046271,0.16040703271804047,0.1520005411664857,0.20864223059292292,0.2104790098394479,0.1031472783330577,0.28154245827398316,0.20358601843932178,0.1900373185411381,0.29843505152576344,0.16374182629699402,0.20428749889335077,0.21696045627037994,0.18552876495052334,0.23225666861404723,0.23667926758954316,0.1998990855520292,0.17776231033340809,0.3065953972045569,0.3285973770628411,0.2330515279689736,0.23514644902062928,0.11184375532834667,0.10963019102185637,0.11152133597360431,0.22760010990002433,0.12354566008686978,0.17674226491754108,0.15127537771151114,0.09691370153934978,0.10465126622544879,0.18822252712997636,0.25454296258106573,0.1264139864411369,0.18980972246756211,0.21801083371912747,0.14537873303546392,0.26686770742857685,0.20140866738517554,0.09871739185599371,0.11237554396871206,0.12749221678683076,0.10673160720175184,0.18799557544753645,0.22822814776645287,0.3152402327451512,0.2724685704255674,0.2586083842348565,0.10830678806367568,0.2639615734995932,0.10357309813363445,0.1178652589067622,0.20109492051067113,0.14382152818557967,0.09812682221853636,0.16909497633415171,0.196302813304406,0.15766379642325629,0.10299892624036873,0.11878953184889567,0.268537316888648,0.15270715948017796,0.14589044336130763,0.22522366134125163,0.16679854762913873,0.1563027282532969,0.1103147135879166,0.17720007369223678,0.20783851196232137,0.11206198600505625,0.11339310977348578,0.1707390322151416,0.12147134855852512,0.17362190390145477,0.21294845539142906,0.21172694727929967,0.15577041517422324,0.16844104802607654,0.17397580757814465,0.17579488866712534,0.09953713200144129,0.10714033139396303,0.2689004186342875,0.1057146957969444,0.09914733918365944,0.23891764506960322,0.20180366990813367,0.16621061488910976,0.17326174621137672,0.1319284323488903,0.1166025199943001,0.13401741126071925,0.1092945532839746,0.14586472138637513,0.11363510500598846,0.16571107088587952,0.15996097066003986,0.10414502151614764,0.11596765184672168,0.11698381836812038,0.14137177209269514,0.1290060237767833,0.1541872681324183,0.12744742267415413,0.15972179432824354,0.139444990884567,0.12331515397847775,0.10845679695255882,0.12793625257774574,0.22485277435042852,0.15856200114382046,0.12849421516120424,0.1571799886910622,0.10878264749608309,0.14368750065350672,0.21975982105683584,0.24653805200006593,0.24379388263127993,0.20496295089784713,0.26932956319617374,0.13777023736070337,0.1672987389321284,0.1202693345967886,0.12217613944007884,0.1445311907410111,0.10935290204468233,0.23274948965402625,0.1414721815710564,0.14394624337232909,0.15252989085211666,0.26566407622679933,0.13340077282845994,0.10359865660963444,0.12931959131111145,0.11822755953585004,0.1041151655655457,0.1893157665477525,0.09794779945533179,0.10580447975232087,0.15918622623773823,0.1098144821727247,0.10386640036074926,0.101898820676575,0.1025518705722816,0.1302150216321109,0.12540890078705427,0.1388090659121285,0.26252982828125576,0.12633325312534177,0.1926196972789195,0.15589934620833573,0.15870094010924976,0.09904687244257665,0.17585502454517257,0.11003624830287564,0.10050202487508507,0.10701989958010598,0.10609999109497736,0.1795997819409354,0.18070839468244734,0.20734646092436917,0.15177882628472064,0.124579024005349,0.1027408376574724,0.12969994090318554,0.10797331651625908,0.11588409623854153,0.14192507105052352,0.12293874322048948,0.10676017265533719,0.12298633042835039,0.11669208113753994,0.17522823160823342,0.10007030647468025,0.1418458897351434,0.11252260713805504,0.1083725194713739,0.1423168996723215,0.1278030771895008,0.10424597924230622,0.20470892012258687,0.10451760350346334,0.21549701015563996,0.14726281385882828,0.16954710754301655,0.09791591230182782,0.13894777491184845,0.15079020742421262,0.11210838563662609,0.10286524417502976,0.10705643141619949,0.09724294195374047,0.1031016871625331,0.0,0.1080378641647173,0.1015279505958042,0.09818366109967676,0.10026958057767675,0.11009133823344927,0.13077779889165997,0.10527237056444341,0.13680909314998277,0.10446017404040014,0.10330650754023295,0.12368152337917152,0.12396710506604025,0.1135210466110615,0.1325903492770789,0.11263841780132797,0.09338374974653771,0.14771814305308562,0.12396167691652252,0.10582538345402304,0.11335857155733789,0.10258999495801553,0.10648751389065914,0.09850219125930904,0.10384809894549432,0.1078577640007844,0.10378145886787055,0.11080314896848723,0.10631666380635967,0.102448774385193,0.09664642901656739,0.10245583403939997,0.10778849355405302,0.10728468559794521,0.09973817874578533,0.09878066648615096,0.09794564689187824,0.10396401495519861,0.12430018329130071,0.10360471387165632,0.10299409265106846,0.15859729994702956,0.1225858215921224,0.10086451680150217,0.10421689298607156,0.10390157828841581
+22,0.28722231207040433,0.12306953761852298,0.36964833765484006,0.17678703352065456,0.3152327731134414,0.12255637777005599,0.3015809152138882,0.18787317468861836,0.1618697136034724,0.2270158839702647,0.22203665818722604,0.07819401305827146,0.288227200017337,0.2050699625554978,0.17963082133344305,0.3057741454015462,0.16534808449485083,0.2030186676669711,0.21477035280872214,0.19438076454566128,0.2504473283929242,0.2407792585103206,0.20061318063719324,0.1909962643914087,0.3189165105195417,0.3481321209754229,0.255201302491178,0.25105439384271416,0.09188644101258228,0.08850118772221485,0.09436748823638376,0.23015618549279482,0.11255344614654886,0.19855005800604097,0.13445495834282084,0.0635784142293443,0.07391049491095486,0.19088359553722767,0.2780261152182982,0.1033443653937442,0.1946408763652877,0.22565996223014548,0.13249779972053424,0.25969742569386733,0.2379265470424329,0.071278868891272,0.08162772749787243,0.08957149052963281,0.060531755795309325,0.1798496636308219,0.22086172620587036,0.30804398787005177,0.2627030349290538,0.24527444482955366,0.0780724626748047,0.2596447581546953,0.12074090887368147,0.0749049606891661,0.2053451894482993,0.1373004250311269,0.1213488862004271,0.1579742117877225,0.20517906064033928,0.1527414899197194,0.07636031779808344,0.11993776531046901,0.27807479131787777,0.15161967348497576,0.13588501071749876,0.23687583534803086,0.1660432162882992,0.15005762407058895,0.07638480381799315,0.16322410351541686,0.229826959058051,0.1467338458882028,0.08107921814951832,0.17535772543545713,0.09952756855357216,0.16549673246738886,0.23516472036257213,0.19499651119179567,0.10481286880791434,0.14881052967475278,0.15621042266196894,0.1559644497639444,0.059811998327151526,0.08843315795243767,0.2891617567958034,0.06513052290271049,0.09065361041297354,0.23728730704015885,0.21003160811002244,0.16064507651283358,0.17770800873007844,0.12707872426664882,0.12367105375378765,0.12495153909075579,0.12333753816309478,0.16137744853330166,0.09107009180442965,0.1672124310418343,0.17718661579504486,0.08812423043948733,0.11334773904512967,0.10742785334580851,0.09859210138433593,0.10871184482888215,0.13680331769057372,0.12921534541468643,0.1623972089160482,0.13945402569474602,0.09752274509590793,0.11024467016516921,0.11724608415020418,0.20835226886587113,0.1332730761706426,0.11205400778226618,0.1637343547505442,0.10605435777611934,0.1539529714293996,0.20936796388758902,0.2407366942030651,0.23555577376303324,0.19848088413015388,0.26273077724948524,0.11960330890952342,0.1554868863511502,0.10768386722549263,0.11093623576106124,0.12978131980770954,0.08809483538686189,0.23332062529887754,0.13613878493101855,0.1473768005238249,0.13203009885506958,0.27449103511030565,0.1543589872612968,0.06494209263885033,0.1329502862544217,0.12309702074904331,0.07131498984934163,0.2007882805353113,0.06336841642629297,0.08361567283346884,0.14763869212902514,0.08053799739876198,0.07041832287869618,0.06592662072091704,0.08292844495733039,0.12447899498002372,0.09602733940638315,0.13264539718869028,0.2806955547147088,0.13646585057492688,0.21305771594906836,0.13046032952312822,0.1864596829718378,0.07829990090062124,0.17198618059282736,0.09686465298169857,0.07140710563118076,0.08308112814329086,0.08185412526914478,0.16917305704381688,0.17089026644627742,0.2014863329575772,0.14083984438361127,0.10534792539791059,0.06983118946092756,0.10372260225128657,0.08276920417938116,0.10780475380327081,0.14038191840420264,0.11157636887709127,0.07013110421330235,0.10839577113232055,0.10453228423209361,0.17862768727369374,0.07334460264035918,0.14233977636301431,0.09906693547576667,0.07945793117429066,0.13816967847061368,0.14295795185316412,0.07866006993610877,0.22318460715697902,0.08994612724782647,0.21508553434878272,0.1516565789503614,0.18604501579287772,0.09468856889206961,0.12963755820232362,0.146373054960976,0.07569511851325443,0.10494427955391951,0.05801056815400928,0.0712429935168156,0.06860954598946715,0.1080378641647173,0.0,0.06957652797078137,0.08604831920856171,0.08795485270507707,0.09812281964901642,0.12718784221820675,0.07511838228754156,0.12525514236389712,0.1079693826860001,0.06604541607593628,0.10583056324211881,0.09362884080631549,0.08173538688985364,0.11749323252065591,0.08381930842316924,0.07832404077401345,0.1659100617285711,0.0990095035189433,0.06908977627573668,0.08143316265623228,0.06092821124163111,0.07176631975686573,0.06790461628908676,0.06807612127573057,0.06965322528664872,0.06697512698715521,0.08463071420069396,0.07008276764893309,0.05835002486005537,0.10264001887014439,0.07002420570052759,0.07441976733285253,0.06958006121317568,0.07896645472664549,0.060647442355700416,0.06623258325600823,0.06600268146485581,0.09542958964038806,0.06571344119234467,0.06553722769828456,0.1765237591616364,0.10645879508355634,0.0616361799964135,0.06941473191191164,0.06678098574025276
+197,0.2777826606456232,0.11048501447076138,0.368676120315755,0.17929514473848926,0.309385158786385,0.11037754040803896,0.2984124640425439,0.1840136595905614,0.1507350119874091,0.21884910415114625,0.21568411137741295,0.051927455321435445,0.2853508699219598,0.18967031176572957,0.17284680438220412,0.30188379865320153,0.16298241385035708,0.1946828268805595,0.20698400256338934,0.18630414950304136,0.24356466360648119,0.23233188778751984,0.20143154782111183,0.1865595333027651,0.32003748440666435,0.34278128206054925,0.25004356283383844,0.2633071500760897,0.0728134970523313,0.07171633529429591,0.07363572907685857,0.22515966497318352,0.0957554187143157,0.18716339119748948,0.12277846301680655,0.03991805134630392,0.044389279688657794,0.18497395426880797,0.27169759722166853,0.10065351452230097,0.19193138132446713,0.22332216260022256,0.12107589392648259,0.2604894541723872,0.23372817233220247,0.044389575216326416,0.05002636595335849,0.09192467992637879,0.054422694727974015,0.19176537657788056,0.222889079268845,0.30696184847541547,0.26221154054056545,0.24475260384441694,0.0394484521285951,0.2547697731334117,0.105293835346756,0.06385018245744532,0.20000501595732195,0.12283441206409765,0.11243705361714816,0.15153243332215707,0.20624961112036339,0.1594130190373259,0.06187925602229484,0.10488975539956906,0.27491453473288635,0.13965017653266124,0.12245820189737255,0.22978656659569785,0.15471705696285493,0.14089809350634774,0.05052264983168415,0.1494234128790838,0.22431994797028176,0.14064153072433447,0.05477401998960004,0.16647019028704693,0.08808524171756543,0.16189508222305277,0.23245534758947364,0.19315729173729262,0.12825364300261952,0.15109071300957091,0.15097544154684878,0.1551506369388261,0.05138275819042094,0.058081810210967665,0.2916607445839585,0.04424420933888249,0.07372180799473634,0.23172410041178257,0.20336895797891916,0.1445139703121191,0.17026825496245726,0.12739721624853584,0.10872683776845615,0.11332625300875379,0.1191228758775221,0.15771155621801333,0.0722455634202175,0.15584936195321716,0.16743557587665583,0.06425971904541362,0.09590144260640437,0.10529022688671386,0.11327799931965997,0.08298334704934142,0.12845930104628794,0.11941824275641172,0.15731892800384908,0.12765713460596087,0.08879740117345904,0.08783270339741817,0.10095753774525183,0.21157979480399908,0.13232939125793586,0.1010773824284499,0.1653697737928483,0.09645022278834237,0.15085504617721238,0.20026403630386985,0.23493127051743434,0.22374312157602394,0.18792891088229285,0.2538077420826238,0.10588515100710427,0.14644927842291403,0.09085207272888454,0.10536702421792876,0.1193218333973318,0.0674438777549523,0.23063770583004528,0.1323145658288782,0.13564330139953903,0.11559069824052753,0.264675417041402,0.14983905250985521,0.05425068242260725,0.11961929962834938,0.10582415362840382,0.0385204680849283,0.18638444924872477,0.04952976233662277,0.06381391886050775,0.1388741445029657,0.05933992337572376,0.0375689872260535,0.04300826778086367,0.05588122187847864,0.10878054226836666,0.08335930835272508,0.12303881615729986,0.27711939061132296,0.1291338946469616,0.2112710445183764,0.13825840375637807,0.17462003882866126,0.046885546309659874,0.16611734904964837,0.08239573673901716,0.04435740340694796,0.058464859225704977,0.05233032966847678,0.1611036096002255,0.16158830787949796,0.1932575464972711,0.13192942849739203,0.08837375232382035,0.034827809198448315,0.08619161998948753,0.06766805846832921,0.09098195918805242,0.12810597360378992,0.09586339296926746,0.03901932159935721,0.09177587059849142,0.10289278147452698,0.16908344185390545,0.041779122941763905,0.13308139331447022,0.07898973243047272,0.06469784097374469,0.12541671666499862,0.14386767394304228,0.05147001056826557,0.2190187515926434,0.06548813689231307,0.20927928246014976,0.13364859431492096,0.17544098043900141,0.07703713361076726,0.11855988216662526,0.1352598564482499,0.0554153442831789,0.08428248359709796,0.046829685649570706,0.04522269989826242,0.03634320416698614,0.1015279505958042,0.06957652797078137,0.0,0.06302000880198326,0.06537350742043546,0.08425393950445914,0.11321674104350844,0.0482262749997762,0.11651822345095354,0.09977183777449418,0.027817994986482634,0.07080045232250941,0.062275057506012615,0.04828861362367921,0.10055164420652281,0.06076855655108063,0.06269587805281035,0.15694696002720457,0.07873896462229983,0.034352152577356174,0.07243779174583481,0.035943575166800926,0.0395530343045639,0.033226067873597616,0.03239328589218547,0.042361399413848935,0.029188125461749606,0.06029725948719721,0.03634183773179264,0.04494912725958469,0.0837280686877496,0.04073441398890288,0.04991487195529675,0.0558142895282662,0.04989317483397375,0.03373463345380871,0.04429687300790588,0.027709186943112696,0.07417719434910296,0.02808608959241601,0.02825433481207104,0.1706753481586682,0.10079792529594193,0.03644631654755182,0.037284872791631986,0.030469657159131528
+46,0.28661802434402256,0.11413787542531736,0.3675150400331293,0.17515823221882101,0.3017948449208156,0.11369642767991782,0.2836649981213299,0.18060254984834606,0.14987252643070828,0.2154289798229904,0.21539171613849875,0.06668295506439187,0.2779712196373249,0.1971337057344368,0.17762941257508177,0.2959033942067148,0.16562132242627173,0.19821626335330167,0.20781499483178112,0.18036351347050783,0.23797052256713574,0.23218423270650726,0.1968484712267175,0.1700323339988006,0.30836675382712453,0.3366865442392709,0.23446944054245655,0.25303951273097436,0.08257272610618609,0.08544926654435465,0.08196041593886508,0.21729736045068265,0.09504140525452319,0.1834181914184558,0.13368973060176412,0.061854724759992985,0.06593761334753512,0.18147183325786057,0.266356277990499,0.10129384442311536,0.1821805858585293,0.21451658496628404,0.12251446822840617,0.25912025103859493,0.2223784425246395,0.05812122586717231,0.07921907081832982,0.10109392350596065,0.07118770863430017,0.18782424343082177,0.2230642574646438,0.3062045035581904,0.25736153823651264,0.2465099449843716,0.07312534679838846,0.26262074197020807,0.11273108215890894,0.06816093928286875,0.19339521570959803,0.1269318582576063,0.0968962889118194,0.15104089052467687,0.19592959874555718,0.14541929474103693,0.07369794548117085,0.10146085144377406,0.2683112076081897,0.13909066903503364,0.12563300136351124,0.22740422592618761,0.1573151039540316,0.13698645057805656,0.07387142884821651,0.163213487732271,0.21374855772148646,0.13120614655464197,0.07728761585459126,0.16381123261494027,0.09465558744053108,0.162630246947605,0.21252290307939553,0.19746727595056826,0.1342913525150123,0.1505896426326872,0.14913926711558456,0.1523610307919431,0.07227362841463629,0.08271429488017423,0.2842111365777033,0.06866249804761762,0.06910712178313214,0.22704655653707606,0.20172998909126633,0.1545410618375202,0.16519497515404769,0.12203289772118762,0.10361958747256474,0.11840381592700706,0.11762678650690529,0.15643458219532777,0.07792296107867397,0.16051935535353803,0.1639887148517012,0.07961165045882972,0.09798504409638584,0.10969393447304968,0.11933051809348151,0.10432069585844146,0.12553719518622142,0.11156620182591083,0.15023742542076016,0.12643960102517596,0.09187438698149708,0.10277760039212419,0.1048293900222828,0.21451749955818292,0.13973560043638755,0.10839174393519987,0.15960969223104296,0.09967040581570025,0.14740111199384295,0.20925364743316252,0.24165629407554198,0.23520666636536483,0.195226422466424,0.2627722241650016,0.1153189387520291,0.15122347912686737,0.09418978081906094,0.10640261964354274,0.12241353830979464,0.07550023478136615,0.22610068678627315,0.124615456479326,0.1361517804083297,0.13249342216004192,0.2743539407166191,0.15605651579021537,0.06740289570519423,0.11834645034195725,0.10343465330344159,0.05820023478570323,0.1987891267706928,0.06731597857078159,0.06801706386494069,0.14189554655676223,0.07704918722527275,0.060227297149317516,0.06622734358042941,0.06923071000274214,0.12022880430138942,0.09371440621799003,0.128806479146316,0.2658739825267285,0.12151592971593854,0.19906832149966425,0.13020180836604198,0.16127168470844153,0.06725307097907549,0.16536528430924016,0.09265243029833103,0.061473561040955714,0.06920214419666729,0.06784345642460028,0.16584791670607982,0.16445911036784733,0.19825416009814317,0.13915371743316296,0.09777744362576289,0.06470298346251202,0.1019589423909271,0.07786032697192362,0.09768846585409235,0.119348548115811,0.09259975922772447,0.0675334150866254,0.09136914895167274,0.1037287598730668,0.16901080382525638,0.06215405934351639,0.12112337531456717,0.08442869004377852,0.07353482795825794,0.11163550539653275,0.12872834140486816,0.0709720056685001,0.20371743989207203,0.07679463872280147,0.20373368944561587,0.13924533346072948,0.17305800872853114,0.08712302735144882,0.12333752812527665,0.12186254926599538,0.06814651919910408,0.10701227925055985,0.06891575035926599,0.06322884932379787,0.06308434480823334,0.09818366109967676,0.08604831920856171,0.06302000880198326,0.0,0.07922274356311904,0.08542001666460719,0.115186960132959,0.06712711900776182,0.11664890248286357,0.09738966675857252,0.06048111122446597,0.09882072418494935,0.09232827407703652,0.07963928547916341,0.1109359153035282,0.07967896980190566,0.05714231587341301,0.15364480161529084,0.0943106451743067,0.06236525059204728,0.08637991424515161,0.059824139068159504,0.06628477237959471,0.05937509225785533,0.06164456453283621,0.06622307566657537,0.06082336120651518,0.06379340498821078,0.0656136126690146,0.07057776865817088,0.09513785586081494,0.06669467283427384,0.0704988505396994,0.07472988785655482,0.06932661736414017,0.0602623623544937,0.06830677860373371,0.061272566445664936,0.0917509722840156,0.061420000054030914,0.06123707943729661,0.15235711560443063,0.1052836904892962,0.06293153672834732,0.06413266725568952,0.06266392434163956
+380,0.2860689511857284,0.11589070307814044,0.36654367882745464,0.1782425820735083,0.2948649329937505,0.11187025030883711,0.29021011189580376,0.18033760405973423,0.13292687393633276,0.21449584945409664,0.2081599855722611,0.07307470478155308,0.2797988099545735,0.19528053575902274,0.18106940949894032,0.2967536911211112,0.15867727081326657,0.19713185944633485,0.20969716041984146,0.18604041266812837,0.22503488618316067,0.23535103043676178,0.20083413689737967,0.18755491124181,0.31427963393958397,0.334646415339675,0.2449992784548533,0.25438721442081746,0.08954586071084392,0.08803744089837275,0.08003749008788673,0.22845555045727164,0.10598452994004613,0.1891485151335086,0.12961999314073722,0.06019578482072647,0.06810261290669563,0.18075405356961888,0.2576964557460539,0.11059431127931035,0.1844934350290101,0.22027363386576088,0.12964664112907026,0.2626743369341898,0.22767437539268257,0.06543209572769512,0.0783265577214851,0.10209212195279815,0.0723511503209058,0.18835857452760163,0.2193918545539544,0.3121380035032035,0.2668188500523303,0.24693666570720604,0.07351000104571535,0.261429738940028,0.11700351594095253,0.07936841279140658,0.2043636298524336,0.12944677044121872,0.12237802088079465,0.1580665497426811,0.18939748836204354,0.15826712257931666,0.07905596400724067,0.11366372193399037,0.27132557955767067,0.13856028956562047,0.13037156703813915,0.2148593495819987,0.15730112148986145,0.1459218452635445,0.07091607666889878,0.16240384744454103,0.21841176965634332,0.13959800474349088,0.07926077725600923,0.15500829316545683,0.09753588395509007,0.1641990023764519,0.22156471800697594,0.19963660529541818,0.1379698760417618,0.16010594955426224,0.1602706341318303,0.16321988366911924,0.07161882209313215,0.07075716499321354,0.2671580855174537,0.07113672750344312,0.08209072907380441,0.23016708009638284,0.19820032161869694,0.15040266830692264,0.16512296378537278,0.13013015494495433,0.11894026620216926,0.11610012626112527,0.1217277447848656,0.15786951051947856,0.08884796882756113,0.15564555738467756,0.1544603478920948,0.07323594325696199,0.09791856140340602,0.09458231168715925,0.12219048114730424,0.09912871043309997,0.1385220619127674,0.10953404026146306,0.16088782876719496,0.11799791696074631,0.09656199964775569,0.09526005487770194,0.11226007727004425,0.21542815609157284,0.1426679645942668,0.10303637018472248,0.1655674711447951,0.08705174571577734,0.15076231184851765,0.208457401460783,0.24120554649468193,0.23526327424287624,0.19463481813478303,0.26063009851418717,0.1013837088597265,0.1420179327792685,0.09605328661266037,0.11468374316092418,0.12782515350495424,0.07876707548275841,0.22891160034240007,0.13393902247170353,0.11893881857448058,0.12989535039728223,0.27421235972098373,0.15850808015568615,0.0722645884491163,0.12069830144747817,0.10082163594999237,0.06659431446530514,0.1995890074216523,0.06946677699866427,0.07831855728912547,0.13933264455761352,0.07202671501248203,0.06174745235239767,0.06319209255068743,0.05678235561225468,0.107801740810214,0.09231858952250947,0.12254979896681344,0.26661928332396484,0.10526148968204543,0.19545046532071192,0.1424608192043063,0.16153962941466962,0.07055132599517398,0.16379644517459246,0.08055765138147078,0.06102894331623207,0.07506983287755647,0.07391624976678991,0.1657135050267048,0.1652229215311846,0.1971626331206273,0.13465684828267885,0.1015999679310316,0.0662171252469954,0.1049956960964446,0.08673863607836628,0.09364176942945907,0.12640455606945286,0.10686551275486775,0.06917533697579095,0.10275967323021132,0.0882723375683024,0.16879076320811873,0.06099662568679239,0.13874035687297967,0.07960435380361788,0.08066309544517539,0.13274093704254797,0.14568912533648468,0.06920590676469607,0.22097981301546976,0.08588750167622795,0.21195649702566108,0.13725845498791053,0.18086255680013985,0.08163214307135998,0.12269336438531592,0.14356479357123406,0.0786814769750356,0.10952570992563189,0.07237201311697011,0.06621064873191672,0.06623456859418299,0.10026958057767675,0.08795485270507707,0.06537350742043546,0.07922274356311904,2.9451005721170265e-09,0.09117497017566649,0.11121627602430724,0.06526532283296782,0.12281729546052388,0.10768829445523793,0.0633375800486353,0.10065024955115612,0.08714253657077961,0.08196327472536936,0.1090490339902478,0.07534057530469038,0.07366427753519035,0.14371818009907558,0.09483123531134716,0.06739349196464336,0.0841416113155875,0.06287767062057918,0.0635451223217466,0.05813099634620494,0.06489219600095318,0.06974152571643887,0.06246037055590322,0.08037603988756543,0.06007651627240337,0.07168878445395141,0.10447976761650343,0.06682777759006986,0.07452184926782832,0.07617682062825332,0.056893122167094176,0.06530425306508696,0.06406964201085683,0.06417942467638577,0.09100400325411882,0.06386975344311131,0.06333404932305661,0.16233072067326862,0.11037494579747639,0.06171374563410592,0.06608104475313037,0.06291599896008424
+228,0.2890613345643226,0.1306459195688453,0.36956449741806063,0.17913864517828215,0.30460698647799345,0.10111532440944958,0.28200899951727854,0.19273714556718005,0.1586241940923767,0.22071339417861885,0.21953588714296893,0.0822687438802014,0.2813176171186852,0.20535007273691916,0.1873732225741515,0.29715870569450603,0.1708277326060921,0.20626482665205415,0.21207099119539,0.18164102474606367,0.23497535191397573,0.23713094444267768,0.202746268668085,0.16970413915382945,0.3107204375453899,0.3425373286590431,0.22708887124826097,0.24862262882738925,0.10550052590036609,0.09905980743444034,0.0913270454464019,0.22163566152904352,0.0891551701233285,0.19847349324496774,0.1404342317104208,0.08269587883802734,0.07867133532820554,0.18213628667239393,0.26539664854189765,0.11464268330000094,0.17982124461416832,0.21861625357098738,0.1359003041033489,0.2689905022833942,0.2257093671503049,0.08537205968414262,0.09254160524019396,0.11618792656156059,0.0843358604438341,0.18448336933979836,0.22150698537416202,0.3135422951757258,0.2711348657271893,0.2534676279427723,0.0922705594708364,0.25891192544934993,0.12383635924387133,0.09754031184386906,0.20358337778278446,0.12821057909769695,0.12416294136619528,0.15936240276545818,0.18875558914166227,0.15765175286341337,0.08998544779934917,0.1170467909860136,0.2640711830650119,0.1519255192625973,0.14033105969305348,0.22494271332510818,0.1554209906464052,0.15082929714466742,0.07814750090978767,0.16849070795623808,0.21490915714115272,0.1341905958404599,0.09570033540534426,0.17005387185436371,0.11491148815532248,0.1635504778506265,0.21533675035170002,0.2066800969314027,0.1436882318409301,0.16451105906023977,0.16693460029245524,0.17081964346514714,0.08822742981437133,0.09668327388866417,0.28044887534279145,0.08587377472992846,0.09825301698848124,0.23302335343907046,0.20915235672757249,0.16529101651576844,0.16847878648687947,0.12472150428391299,0.12917606693872247,0.1236705634068613,0.1202186945156682,0.16158453268710937,0.0972822788606736,0.15179491576367155,0.17139706908985758,0.0669123850159645,0.11423357428637274,0.11524351169458932,0.13454174888872317,0.11672183834845186,0.14666450880768156,0.11503298114497812,0.16200586302879172,0.11258136162212572,0.1125194957750511,0.1182974082110402,0.12585799259381894,0.2234923439089316,0.15097882664939763,0.11986020701326348,0.15895311723497257,0.10919936639421167,0.15969346201903736,0.2140269236731162,0.24638321218739836,0.23944856482226246,0.1988157179135818,0.2602688029010349,0.12660676113942707,0.15791636581659613,0.10367742891858596,0.11896907335254452,0.13183064342739048,0.0822421284647378,0.22569917456684938,0.13097551103934404,0.13696579044498752,0.13273207268481996,0.27730262605330547,0.16115347293336443,0.09305233649079002,0.12141577916531768,0.121604478356272,0.08492794911289579,0.20254842117723418,0.08608470864393193,0.08516196412034659,0.1471501986032114,0.09563888806283537,0.08365142255654068,0.08205646469378135,0.08871672331316206,0.11742948783143785,0.11095165482608357,0.13483734672959116,0.27107989528690174,0.12095780078783336,0.185049028712272,0.14504448847139317,0.17078096163570894,0.08366021128764686,0.1658745625228734,0.09405746676640202,0.08056117772979877,0.09292999870148569,0.08706687143505154,0.17723938997899186,0.17742252514303092,0.2067509952034429,0.14780314320867718,0.11347451133151223,0.08489298562567826,0.11291760444939719,0.09690483161456957,0.10118512434527133,0.10004090272390401,0.10492327866957851,0.0864153405635026,0.11130906660026772,0.11558617979831316,0.1737337548997846,0.07924887085023105,0.10475437133811545,0.09602212952722927,0.09217047313228288,0.10522200253583483,0.12832568978369663,0.09166669684433724,0.198924382440371,0.09998312305593747,0.21586276836191975,0.1531502999670567,0.18652589045897158,0.09853348442778319,0.1313794497117296,0.10925080159827102,0.09400371327840326,0.11789838812234685,0.08937729673385164,0.07850847808594015,0.08578361016937404,0.11009133823344927,0.09812281964901642,0.08425393950445914,0.08542001666460719,0.09117497017566649,0.0,0.09535456975085356,0.08630072262233587,0.11852981280373213,0.1072239729215721,0.08375564515263982,0.11378812760624606,0.10701792934285478,0.09707031509027798,0.12201897846269834,0.09291440919082945,0.07693815659197231,0.16037328285364463,0.0949199621120273,0.08596331466031848,0.10293809608365963,0.0838152952087767,0.07921499567232933,0.07941833881204027,0.08334660995725503,0.08826667489298051,0.08340680836909144,0.0850532822458678,0.08675345429703767,0.08679969506819471,0.11579442589009882,0.07923199738503069,0.09292853227838871,0.08876126407531265,0.08236615456179584,0.08198915507498604,0.08398245375035025,0.08355444518633279,0.10001536299132399,0.0835268380685761,0.08212305113598561,0.14999022090491987,0.12033554037097549,0.08102164879147343,0.08612220001339588,0.08311063143997086
+25,0.2954851139110374,0.13598923380354166,0.35902183281394795,0.17103308084346858,0.2912918432482166,0.08709979054367432,0.28087635762651375,0.1868473063830508,0.15858448019195653,0.22092267729404855,0.2281673609034787,0.11442021298592125,0.27733412138017144,0.20476486619842238,0.1875311371239217,0.2956640716519351,0.17265475538775077,0.2046491391818209,0.21561797013270773,0.1867600651478845,0.21988361547697893,0.23083239113397372,0.21054924858429888,0.17708264620595968,0.29758579869775603,0.3399656981807503,0.21433059695533624,0.23487293481533114,0.11837021826005382,0.12194841973751254,0.12180199696363894,0.2157903108258805,0.11650099176498134,0.2030007453181905,0.1616610980082454,0.10857987667854398,0.11002185017154435,0.14989723628576995,0.26408656699130756,0.12183396012693715,0.1797191001678864,0.2015505027938823,0.13891261172045338,0.2720774384896375,0.20873392069352542,0.1153399917753544,0.12291003123569308,0.13676276238990864,0.11744427133732477,0.19210117117012795,0.22962538578148414,0.3148067751684974,0.27452900767651234,0.25937136825297413,0.12050227534654323,0.26623223491922904,0.1421630717196042,0.12769196772485383,0.18986638497232614,0.1474173773291827,0.13910315310246565,0.17456189376907277,0.18091132273383964,0.16838938574779877,0.10474083193363042,0.1222588730286557,0.2277752544118681,0.15713543553940024,0.14656264600778005,0.18732761125602618,0.1624038569383071,0.15047479473951605,0.10949784164798926,0.1858567476308681,0.21974431991224155,0.1550807950308274,0.12387554591053765,0.14874764803053586,0.12855119505055473,0.17901213608048072,0.2096433628198433,0.21526526642924962,0.16396472786357932,0.1775177757571548,0.179604073580931,0.18246980503780197,0.1214038169369964,0.12155208728250617,0.2786810206164353,0.11766890687449455,0.12060085821068722,0.2356052681431818,0.2178535883401512,0.17239361140854612,0.1803161283999714,0.1303937820958705,0.13858688731896,0.12877359308619543,0.1224410326179195,0.16901856633207915,0.1153205301761797,0.151008527499004,0.1718900677929978,0.08571993745413371,0.13215199489042617,0.12888486703657676,0.15144782890055972,0.13897039986477375,0.16406923583492336,0.13567984379186696,0.16907098460031222,0.10909496250132428,0.1340006336215863,0.13213727191707347,0.1382611365600941,0.23070707896830345,0.16725972302613482,0.13404921819335452,0.148535764453104,0.12273083466821502,0.16996412053894142,0.22378897339636666,0.25423253781779825,0.24838154683469907,0.20539932516624826,0.2670000163334851,0.14455419032750882,0.1718857875973115,0.12596585652996467,0.13955877525443336,0.15390861992575944,0.1070234873630761,0.22982972181358696,0.14501226418899385,0.13308323361590105,0.15150902429178667,0.2841302366401756,0.16812995428080704,0.12173344808204392,0.14741483746242476,0.14174388173136157,0.11678553103653212,0.21478513371576652,0.11703589552277788,0.11139880931610303,0.1607575088835782,0.12164692908522223,0.11377909047631657,0.11635761181746918,0.11535784277388339,0.1353893695071713,0.13169391901947247,0.14713183194858093,0.258383849081151,0.12424941819603022,0.16402028513733063,0.16591904759259077,0.17281411998546997,0.10655757980221017,0.17798205351914181,0.10806697679825199,0.11120581408629712,0.11693613941363391,0.11678177201279988,0.19068510610615694,0.1905044824009442,0.21772331603834874,0.1673930799523836,0.13633797049304722,0.1155217357017681,0.14021088984953406,0.11363526470425613,0.10941086114864049,0.11911524106669813,0.13122364671840753,0.11704868450188019,0.12374415781220136,0.13576631574417533,0.1837368278897427,0.10875597560261506,0.14742480342256123,0.12165704525002505,0.12011140776996285,0.15002543789674125,0.14833327545341696,0.10579396744289275,0.21374714298627912,0.12512959808228472,0.21599255987361127,0.16543899438490167,0.19640224685321656,0.12308169484435633,0.1499309457554276,0.1514057793476356,0.12310944603599736,0.1440700642433848,0.1191504373000868,0.11135585450546165,0.11623884994456542,0.13077779889165997,0.12718784221820675,0.11321674104350844,0.115186960132959,0.11121627602430724,0.09535456975085356,0.0,0.11490466998528658,0.1414930135277409,0.12502127565580637,0.11443089817957462,0.13323133483480254,0.13246059356125317,0.12317858406725125,0.14357694973481286,0.12451540236717405,0.108894163499803,0.15828021051295735,0.1235941694913543,0.11634604974585509,0.13074002863132114,0.11552959214619611,0.10807808952028948,0.10834186494354582,0.11461205363882006,0.11672201365077134,0.11355226831034647,0.11867825929155308,0.11703791441301623,0.11941820798823753,0.1396253375440663,0.11035275856730326,0.11959092447835712,0.1229811569966325,0.11152755474892934,0.11433922976086362,0.1180265112756627,0.11461997575671885,0.12449419662606942,0.11414402068834961,0.11459277962930038,0.1760404420904083,0.1399703339943662,0.11309550694099911,0.11660259954527552,0.11470596864644818
+99,0.2858496448633796,0.11396722882230662,0.3726250777827865,0.18178582881881805,0.3096567495710104,0.11407437153604229,0.29830133870228426,0.1875086822319468,0.14817235181853236,0.22261752308092628,0.21520052319045174,0.055662094458558575,0.28844188763914597,0.19802786826660115,0.1780257705245383,0.3033528442489593,0.1644805739878431,0.20153451439421258,0.21114916952439744,0.19260624809159424,0.23592367091529304,0.23907726190066234,0.20118153357201055,0.18985618680595753,0.3230338895835251,0.3442573046332881,0.2477277884199783,0.2648041858109588,0.08179823412841296,0.08050253154334404,0.08004276087587087,0.22624013028814577,0.10074199960382392,0.1900930137044634,0.12426346276406121,0.05231741509613913,0.04353688954628871,0.18089410559137623,0.2661597822712296,0.10459913493372645,0.1953791105953959,0.2221729402567152,0.12624114705901487,0.26321784550786276,0.23699262247894318,0.04478341960408425,0.05823161884113002,0.09654351954158999,0.05555070006074703,0.19366184259956115,0.22381720920343132,0.31140941372981223,0.26457307143723474,0.24681501603775932,0.056175349266141435,0.2574563251668746,0.11489551421594378,0.0708205161543848,0.20515003255027603,0.11576457441378618,0.11428423721194747,0.151734669318902,0.20239247384769618,0.16359179867711243,0.0724046228569734,0.11299211469606678,0.27699330319210885,0.14222739604318632,0.12795348474753854,0.22719374757630514,0.15073873712574554,0.14377152846435265,0.05170914233425296,0.159279035241636,0.22880151591115866,0.1434344165673217,0.06363437104932022,0.16692911937763172,0.09488273531244212,0.1679206155650622,0.23423794172966803,0.19641103148504108,0.1311059457054523,0.15210092807184056,0.15336855612855627,0.1585340276096719,0.054407719729123366,0.0693722793856473,0.2875879507233238,0.046933553796886573,0.07792759602514385,0.23415489766040967,0.20033817736211915,0.15296791437858476,0.17237202446685584,0.12906361223520946,0.10936882818854261,0.11539176593340007,0.12236414652236154,0.15984552006962177,0.07534183763723912,0.1576448876124081,0.16954700699338784,0.07079514129243816,0.09772766594142572,0.10384130322451894,0.11700851785462153,0.09505145624495764,0.12396630730655842,0.1258226860675159,0.1639719830426691,0.12065687466891677,0.08639511123856755,0.09646200992593656,0.1067408432116679,0.21156028100220492,0.1358830559502426,0.10160902793754532,0.17101577505360122,0.09322132190036976,0.15571892224604544,0.20486709610953638,0.24043507396561373,0.2335756237701824,0.19287612700625065,0.2567547034733144,0.11109798517313385,0.14991820950433357,0.0963439456152826,0.11085920064477199,0.12327156187971608,0.07130267964168761,0.23020612502845456,0.13513300884992405,0.12340015514725997,0.11544306858640561,0.27300717667446006,0.15644277037216014,0.053140405638313085,0.1034898283247019,0.10823674845173198,0.047835839473604785,0.19583788998146384,0.04543032368520834,0.06303860782086602,0.13963696936437056,0.06379290374798023,0.04307818266837767,0.046932758714978526,0.052146711653485354,0.11051343914163557,0.09042471735897535,0.1193617466399904,0.2800140369178214,0.12375000010952078,0.21212129669618607,0.1420566822767587,0.17923705045659952,0.05511247724955285,0.1665767272585072,0.07403007364563946,0.04323500066609789,0.06791263319073898,0.06641564602845411,0.16229117644393493,0.1627747758024166,0.1954455878611805,0.13193102582667637,0.09534205041246174,0.046615064817930194,0.09207642332339265,0.07829177685697132,0.09489792183871149,0.12138932436991022,0.10151959767064704,0.05166050660988314,0.09483065154249946,0.09356375614868305,0.16549452888433205,0.04680302051723927,0.13403237687263406,0.08401995863376677,0.07088795705584555,0.12555714922579253,0.1435443656990764,0.059940170333268074,0.22133584612771565,0.07265078974710759,0.21187486507053435,0.14439208271580783,0.1787833145543716,0.062345873999418655,0.12403481653221873,0.1377192298257684,0.06310667209137588,0.09742669989514938,0.05660406358128259,0.04501976564869319,0.045362681213307485,0.10527237056444341,0.07511838228754156,0.048226274999776206,0.06712711900776182,0.06526532283296782,0.08630072262233587,0.11490466998528658,0.0,0.12053250758935014,0.10510581507965226,0.0420662187783393,0.09099275498165268,0.08118390302195087,0.06519671061292301,0.10426145940331587,0.06673910676632491,0.0682027823785015,0.15819964857301078,0.07198286768628553,0.04631157567244592,0.07484111383670604,0.04080735476293721,0.0414894641327761,0.04387017603707916,0.038329197445143105,0.049471156949940205,0.04047661033114633,0.06845800151942434,0.04870727072131927,0.052832239904557425,0.08580156323870824,0.03776877871672678,0.05918290222438153,0.052478974535414606,0.054333220954997576,0.04468289278617399,0.051408502107948555,0.04304765954232798,0.06457899012640289,0.04222547401384552,0.04154668528589451,0.17253000340120733,0.09680166738311624,0.04357319280727606,0.04693131010806317,0.04164238821326297
+226,0.2983116908667838,0.14816247384317704,0.3721409191934715,0.188372187269115,0.30657604505122565,0.14051865216892606,0.2857792138819473,0.15508896390574492,0.17138021834671774,0.23172053177943014,0.22763341028642034,0.11636376237059981,0.27722128365067333,0.2094510634320371,0.19461372783354494,0.2913228509512586,0.1868834204539501,0.21011032221128784,0.21260661126846894,0.19180749837098052,0.2517919626267569,0.23946415392053588,0.21558728777457434,0.15888591234290914,0.30797035666165884,0.34614869233820017,0.23117743887990094,0.25637699250078266,0.13094948497884676,0.13035924676105468,0.12632093135726918,0.22190356656186816,0.12400813140895602,0.21000800108375675,0.10036213565327855,0.11444368469606984,0.12069179165389993,0.20006592161457196,0.27985656168127654,0.13412143958250655,0.18689032803942954,0.21814206642803524,0.14776044548635972,0.2716358705789918,0.22956371832323513,0.11683881053590837,0.12460316836258961,0.1423996742036933,0.12093784491781824,0.2064838034841601,0.22748150116977367,0.31324299803350464,0.27333584294828883,0.2596671892394262,0.1209013130033393,0.2755640168542304,0.10864724228411467,0.12768031697031232,0.20985478442103878,0.15790025296204588,0.1428147828994614,0.1715149728031127,0.15982640097208045,0.1694065700085332,0.11458437325905935,0.1278208514895847,0.27051648637516124,0.17020190221366338,0.16100971345698392,0.2389095618981175,0.18279521709788504,0.16879119574602403,0.12335756689544575,0.18396987221596978,0.22121080711047827,0.1554041487584661,0.1267622560476142,0.18756164556569604,0.13800120249216055,0.13268034722090322,0.220728853000562,0.21526417060250116,0.15759629128688696,0.17224399097446372,0.17747319832936073,0.15493040416550835,0.11877956623646566,0.12427540592609998,0.26089992374077575,0.11759524218992155,0.1198515265471793,0.23275006996247657,0.2146806145983935,0.1750629446717197,0.17003682481448598,0.14663299150057266,0.14823155218350284,0.142322772642655,0.13439492497194636,0.16647655611870696,0.12037473537729682,0.1805671916038566,0.1882940541709645,0.12381723675803231,0.13779526405662085,0.14452919773784834,0.1569463470360301,0.14062454258648194,0.09776109300401636,0.14368075866564475,0.1654123419429147,0.14392780524888818,0.1355342380195408,0.14191450279351472,0.14710452944451027,0.2296042578989121,0.16313002546205455,0.13864794085591808,0.17303894918951254,0.131030455089796,0.17108337399516713,0.22906303867763794,0.2588932175925594,0.2521610777085407,0.21306447336628212,0.2773421009364283,0.14557440547124578,0.17157505354869657,0.13137679922248244,0.1365095020751621,0.08191241059555134,0.11769304132429793,0.22712750074601018,0.1519252575534878,0.16550133361410932,0.1616732037361446,0.28733548191380004,0.1749800196452302,0.12278573003726785,0.1232407232306072,0.14345588463815528,0.11863097759779517,0.21639609423111372,0.11610338403474457,0.11683158778879307,0.16192635273314837,0.12454637240996433,0.11872107071187059,0.11699672266662557,0.11913617195059398,0.14646528281912258,0.13572396474839238,0.1521343213321096,0.2662493702167195,0.1438005996239494,0.21013022642761794,0.1689361026103382,0.18386471456127954,0.11760897859138533,0.1778720202080104,0.1253327520255172,0.11945958747703025,0.12520575424679053,0.12249138518719681,0.1905617200048915,0.19164180213559004,0.21750027714441192,0.16194651642739333,0.13597326184330946,0.11827881817696803,0.14160411888808083,0.12251911202695702,0.128160841278992,0.13652723087782123,0.13111542436726112,0.11991996565847253,0.1306264002738313,0.14090811409510032,0.19354508188406444,0.11407963198787903,0.1411308239927504,0.12661114152784692,0.12482438856400105,0.13899555659999846,0.1528083193606825,0.1190924496221612,0.21157839964441214,0.12461167312660724,0.1764275267444784,0.163467006494908,0.20265992925959575,0.13453695592386092,0.15011886498843452,0.14274588162780041,0.12353067550359093,0.1419494605901685,0.12243003801964152,0.11269715426878847,0.11855412393768533,0.13680909314998277,0.12525514236389712,0.11651822345095353,0.11664890248286357,0.12281729546052388,0.11852981280373213,0.1414930135277409,0.12053250758935014,1.862645149230957e-09,0.12922193108758767,0.1176505040067583,0.13427191151842613,0.1343443794026975,0.12462116870870608,0.146054145665133,0.12313819973962276,0.11234102162190054,0.17950657811237006,0.13842310967758226,0.11933703126663123,0.13098220680467376,0.11696968763740838,0.12066339782122291,0.11458399745857299,0.11798412570250764,0.11995368197352096,0.11760719704367566,0.12018766457299362,0.12035268883970897,0.11925668904133077,0.13902628763006852,0.11794551854346223,0.12407190479329658,0.12281768157113832,0.11869298514918884,0.1164726326025738,0.11787039248693473,0.11763549128711537,0.13601975749700332,0.11791251375685347,0.1170128687711271,0.17463478705307187,0.14351827038077802,0.11692140546050221,0.11867904969681864,0.11691598693301601
+52,0.2849823617850541,0.12920557569015864,0.3489443306183081,0.1660199313480773,0.2880831788836578,0.1210153579041668,0.26010617937031477,0.17417268547298734,0.15609490656863217,0.20710914451908238,0.21935446263220287,0.1040415158002499,0.26834503230580153,0.19986877537912165,0.181633221428617,0.2856316374089106,0.16895899283878846,0.19653485300500398,0.20802471399411793,0.17621597856966428,0.23050675806805818,0.22625745140270612,0.2059378018439673,0.1571596564523042,0.29315483315216456,0.32789306660631634,0.21489830991331402,0.2223654017360797,0.1113080123486831,0.10926989561026308,0.10851506736654229,0.2186456664690946,0.10454135890647336,0.18371115176915792,0.15291973576233256,0.09449966043242766,0.10555996201471364,0.18243495991278988,0.26707687022390186,0.10451368727746609,0.1666188751099895,0.21142186702989485,0.13558949151102542,0.26755169736910156,0.19398473955300766,0.10141632287789354,0.11101370027570082,0.12353798573608918,0.10619619066551213,0.18256960203386483,0.2194180643328232,0.3128959023470638,0.27200227155371165,0.25684616821857403,0.10934993824574896,0.2591956255134418,0.10279274868027304,0.1188012331803575,0.1840249611944889,0.12900836326899934,0.12223169220507038,0.1690962110072736,0.18878688634596383,0.14825893673274182,0.08928582181370696,0.09427403296289177,0.25504913340557767,0.14914040509267382,0.13858386629560854,0.2212925220848478,0.1596823079737618,0.14171690358099295,0.11239479847812041,0.1750768337158342,0.18473509152163534,0.11178761027248234,0.11470372278886384,0.17004821839068623,0.11469637042876298,0.15983292854247735,0.18763905674346007,0.21000753122800253,0.15708692746922603,0.16799213711562908,0.1735255562246596,0.17400746580821322,0.09830767448293044,0.10912512495193176,0.27741354262340256,0.10772557340940854,0.0906340007622973,0.22728967353575508,0.2111053333610729,0.1646490622885644,0.1522266271586843,0.09555765986937372,0.1342384546692801,0.13354498650395424,0.10632705246975606,0.13139754439369375,0.111122242463285,0.1634823098291755,0.1723047030475656,0.10523370171095069,0.10520254951863442,0.11571279269349738,0.13709318670204304,0.13130811905307319,0.15309365348259296,0.1218474217000586,0.13752181273079583,0.13345357415229722,0.12161772933012321,0.12398796277040781,0.1276363222831038,0.2240415888505922,0.15677360652126818,0.1275616348984002,0.13250111621081448,0.11199263676949789,0.11609804073607441,0.21809671575600423,0.24577933397877422,0.2399265276720188,0.20092285956956887,0.26751306914921563,0.13479890026211708,0.1645322451286782,0.11137123150447625,0.12192449967471301,0.13036722877958712,0.09695374601567999,0.22190318812501464,0.11022083295982371,0.14927267323240168,0.14927648043995123,0.2751810112398153,0.16445284658343712,0.1047049693394198,0.14117982847650523,0.11528952816448111,0.10413053371560206,0.19679779411641748,0.09739492686369888,0.0894918159005876,0.15418614806841052,0.1118173941909938,0.10382023246235132,0.10468401239161738,0.10147951366560208,0.12789286934856278,0.1245284456752957,0.14397206830763268,0.24670083978089588,0.12278695097478594,0.19510692978312272,0.15019595537503852,0.16154121224274634,0.09927270457129134,0.17183783422694152,0.1116063765177999,0.10113509585198333,0.10424700900116017,0.10208534393809748,0.18473944565600595,0.18319706111415351,0.21288444955649885,0.15529960573083293,0.1260080587624955,0.10226648626037442,0.12335239508466049,0.09921809237853554,0.11049140070242787,0.13156251816753128,0.10289715084047077,0.10688398893580651,0.11482400539814357,0.1193842091696766,0.16598742055722637,0.09771250494506259,0.1365171923043522,0.10637106123879879,0.10766502600956103,0.13757235004107063,0.13460492796028192,0.10098152810222734,0.18683448802367617,0.1040657961578299,0.2051678329127106,0.15054566202125588,0.17830041600261173,0.11916970825215317,0.12877000666025062,0.14369473608712335,0.11209312811225279,0.13070215272083152,0.1090848338180562,0.10036964145302606,0.1052837839390126,0.10446017404040014,0.1079693826860001,0.09977183777449418,0.09738966675857252,0.10768829445523793,0.1072239729215721,0.12502127565580637,0.10510581507965226,0.12922193108758767,3.226196034939731e-09,0.10441224385930768,0.12307358919291406,0.12341620197207816,0.11393189874459829,0.13523232556897422,0.11227366676369219,0.08898720416078738,0.1580261808585665,0.12348223610047264,0.10619484796077314,0.11433195989046327,0.10216304371068574,0.10603594955361446,0.09873463038108886,0.1045580001120208,0.10671297344761184,0.10322434388964367,0.10871409738370158,0.1072798561652473,0.10399729381560505,0.12812464911618737,0.10379356993508522,0.1072175482628277,0.1062024073755062,0.1004990911851821,0.09927537947420934,0.10369133155602794,0.10434469293687965,0.1246508206215349,0.10380851113170754,0.10402711165128571,0.1612501158603412,0.12390489742049764,0.10318432081560663,0.10320764644068953,0.10374993187402763
+381,0.2845360568307582,0.11139123352336884,0.3735185113547824,0.18271367420946097,0.3147181640572183,0.11475886105602548,0.30377246642505706,0.18695674581300198,0.1538771992319053,0.2212968676903227,0.21763985376967204,0.04798344085921284,0.28773528592129805,0.20030325023762688,0.17750234659035294,0.3042940953150258,0.1635426354673195,0.20010409666023773,0.20881932894717609,0.19258843431922273,0.24594550158427742,0.23874996234346768,0.20260012849678843,0.1901112871493942,0.3249242137208791,0.34640005708778504,0.2547633405322945,0.26890905030131246,0.0716516247658779,0.0689546353212088,0.0715352734586072,0.22844725322526818,0.09629145355379144,0.19067303205024577,0.12005591238906162,0.0351284698341968,0.03432603106105064,0.1861015088823311,0.2746722386243272,0.10219754793459944,0.19511211186496466,0.2268338024423353,0.12196269395859766,0.26142356861369814,0.23896444814239742,0.039069803370670377,0.05132055204592773,0.0896243224154051,0.04683270494046862,0.19437430775898185,0.22331689903501153,0.30970850927146,0.2630487514552881,0.2448945577360554,0.04693317658121967,0.26046911039115145,0.1105895716750122,0.05806053057936893,0.20296455828974855,0.12248666803099134,0.11350527982064997,0.15171698929033034,0.20890693892380882,0.16259805375997352,0.0612941278899968,0.10817505638198639,0.2780551593818211,0.14071074467210984,0.12257853058009842,0.23221645035742636,0.1552264189643393,0.14234252597386785,0.04316058211668635,0.15600074731593677,0.22944270578368653,0.14462878224170486,0.04767222048865045,0.1683307078432427,0.09059202407313867,0.16659619984489243,0.23808844770601048,0.19324900894397073,0.12687971223171862,0.15312631301170654,0.15096163179622712,0.15595949408016077,0.04684855454093992,0.06508131839337594,0.29607133960255566,0.035361225664027725,0.07532505886984492,0.23275641264813823,0.20475281951020297,0.1525662620310741,0.17487255977412725,0.13016157971053782,0.10912320116918516,0.1145449189221027,0.12209245545853362,0.16138751171108986,0.07073997270242459,0.15788821793462948,0.16960354420339943,0.06292669774951852,0.09705833268446894,0.10526019000722275,0.11170344367878693,0.09123776085069822,0.12843209487158028,0.12390202651252197,0.16286866986330992,0.1285256742437172,0.08725361409302923,0.09217708395305504,0.10018227298066619,0.21148139117084863,0.13222184558244848,0.10120565500670543,0.17032281294010065,0.0968847791707181,0.15522869593215793,0.2023855386208591,0.23799269700935408,0.23095854509177546,0.19104087087604915,0.2585916199744253,0.10442930963697053,0.14562496385906817,0.0894685147380908,0.10567545581903817,0.11876589967889177,0.06468027743325436,0.23178118085852753,0.13530542193650694,0.13466912870606587,0.12064458484987815,0.2712908483344409,0.15263938090854987,0.0494514671096093,0.11894007675795384,0.10853733678995305,0.03061972687648854,0.19552641233558493,0.04360527702852752,0.06381522918633958,0.13758088863882104,0.053114397408716034,0.027951663182038393,0.034712621931999144,0.055048280688037896,0.11493870446175063,0.08117138002995886,0.12347693947371917,0.28134825759128373,0.1318364649566773,0.21538044114868296,0.13824894714762687,0.18038625463676286,0.04734268243751523,0.16638278248753052,0.08115669311594902,0.037221151153976124,0.05581119300501225,0.05363275434179479,0.15989660709562042,0.16066702023647275,0.19397473454361544,0.13040417843972235,0.08561580598019795,0.026105094803292997,0.09189078424318528,0.06691377730044773,0.09221885666916874,0.12867532090170797,0.09475318978504195,0.030552309659304173,0.09172377887124035,0.10350407281131552,0.16990391514617387,0.036986088860327254,0.134089194807069,0.07740956727318898,0.0616676713793191,0.1254275539185296,0.14569335477815798,0.05332575038344899,0.22260556119114777,0.066482010811357,0.21342824921532055,0.14534549502284974,0.17593495770826176,0.07389428554241,0.12035898893618091,0.13568959345794548,0.049615353757096546,0.09098010164102764,0.03811872756759346,0.041116389346415046,0.025184480235086074,0.10330650754023295,0.06604541607593628,0.027817994986482634,0.06048111122446597,0.06333758004863528,0.08375564515263982,0.11443089817957462,0.0420662187783393,0.1176505040067583,0.10441224385930768,8.231806349783991e-11,0.08664427454225172,0.07004048530466135,0.05672387988530437,0.09943979858723526,0.05426919757750755,0.06288212737173976,0.16032077626474037,0.07409569582438316,0.021727978942208168,0.06756553716478825,0.023574182683889198,0.028991571056641643,0.024168410075264594,0.018366932841270285,0.034818064390674495,0.014738994697771691,0.05585854906325614,0.02435993750195589,0.03835395549634682,0.08603622151485492,0.03088433947875651,0.041818655960446004,0.05242063992092793,0.04875948704162413,0.022337171666778826,0.035817767433202745,0.006665629389711254,0.06926983258971187,0.009285160303055748,0.0104179670096888,0.17399519051284415,0.09785736733678937,0.025112080405256813,0.026639185512789418,0.014411981754998833
+180,0.2869448972583398,0.1311353918667049,0.37059694106268287,0.1876125307142652,0.30485560698013975,0.12850085051046709,0.2984176424022985,0.1920836092203091,0.1601287626181749,0.2277850566977983,0.22550156398392554,0.0915896759857415,0.29002695405024526,0.15135700225443965,0.15387292270460998,0.30528458944286113,0.17972480189428017,0.17631729784446734,0.2165721621475067,0.1691612187916789,0.2447790896567166,0.2048131740964731,0.2118031676563014,0.19682382406123575,0.31492665287060934,0.3452120467473981,0.24584712439964548,0.2652480646436402,0.10697259033731116,0.10542620210567775,0.10756035208593745,0.22265873184284887,0.12177017893442775,0.19734511792997272,0.147402412455765,0.08860412235743406,0.08935319672246037,0.19465691247778694,0.27822127716318434,0.12370289833153328,0.19864294668832577,0.21954346303685982,0.13608972429289962,0.261202157957251,0.23665698228372015,0.09283600436769188,0.0903980884748637,0.12181647237594563,0.09825297717117171,0.20215680295833036,0.229173750835782,0.2972846544680512,0.2640686341976433,0.24807561910742867,0.062051341306318876,0.2658087651747591,0.13067220301705942,0.10403612384551734,0.20404731282663746,0.1438926843885059,0.1322896017955978,0.15733084809961578,0.21197319455479258,0.1736237148652039,0.09574810750605063,0.1195042558786701,0.27363187054463917,0.1575919840023922,0.14524569590497555,0.23492215298682953,0.1712920907159284,0.15867390661506395,0.09632200704434195,0.16650412928493846,0.22610855113065662,0.15599359794432593,0.09877490581179724,0.17807316964481673,0.10417661139998961,0.1736244959592485,0.2317680748149253,0.19977080301202596,0.14269997063976497,0.14501795199199774,0.15770617254154587,0.15952785867435892,0.09582762809694864,0.08702515037044002,0.29053846828259106,0.08933245714573651,0.10734020297420595,0.23989783393818853,0.21597725893872186,0.11684808521078581,0.17712055121726566,0.14573152863508104,0.12885647736925748,0.12588976861426956,0.13680571614583809,0.16793308471246163,0.09692957178426491,0.17236016276358393,0.18316852250286608,0.10035112887232527,0.11973539595967393,0.12707864401947508,0.13751324183521627,0.08699342584853906,0.1442071170970552,0.13444988938800517,0.16645609871804173,0.1419888418019738,0.10993030946771597,0.11152504803470586,0.1265108705871782,0.2136148126415899,0.1455571236095089,0.11491632949553916,0.17513579286008443,0.12130419695407277,0.16516527179818946,0.21494312973887011,0.24785305126102214,0.23632160652965833,0.20292627101914815,0.2654834355483094,0.12883760935756863,0.16451814293875122,0.11962595518540693,0.12568577809134548,0.14193625852586841,0.10206022104497539,0.23557901196221964,0.15106426253608884,0.15045868086558156,0.14017621375802455,0.27534562062628326,0.16670776649848998,0.09783209854140976,0.14295613390569337,0.13070844479547916,0.09022509987870482,0.20016896458562014,0.09517734321157786,0.10191791708562586,0.1579232173435767,0.1002835240145041,0.08979255923024923,0.0923003659390439,0.08971933509414504,0.12446063378453869,0.1128271142597445,0.14337568349597754,0.2798109392272521,0.14158799264760508,0.21889983341147132,0.15761744112849058,0.17850413008870006,0.08882506906367217,0.18079804061614757,0.10815676792319638,0.09079276180053744,0.09895207579240027,0.09446450613141462,0.17932251817720093,0.18006499702349352,0.20773843414214604,0.15362564151672417,0.1189236319033668,0.08887009736645285,0.11563098119102695,0.10259168722386466,0.11637595577189136,0.14421413065406538,0.12370496660582044,0.08907027317590746,0.11447669038253946,0.12208837110702035,0.18529008529034424,0.09141361317362945,0.15468221979442168,0.11113334620643305,0.10173103954886022,0.1474034695279266,0.1607149048209875,0.0830351616230676,0.22830813635489122,0.10256214791231398,0.19763373068794557,0.10660276440948553,0.19083563177796603,0.10563005139545646,0.14131244776024457,0.15503034063025314,0.09492121425865911,0.1142500978287899,0.09406039642091499,0.09079059338002382,0.08835456272737874,0.12368152337917152,0.10583056324211881,0.07080045232250941,0.09882072418494935,0.10065024955115612,0.11378812760624606,0.13323133483480254,0.09099275498165268,0.13427191151842613,0.12307358919291406,0.08664427454225172,1.3170890159654386e-09,0.09909214365197423,0.06585121499421225,0.1276726960387389,0.10198279749436383,0.0979826980167204,0.17300316653804698,0.11372035679073596,0.08897555038066042,0.10903207028015847,0.08897904822605333,0.09123548480765742,0.08635557571859812,0.0879313253541972,0.08866357384177813,0.08449119320304997,0.09996155869933962,0.0898722841382141,0.08987598802712668,0.11490184910474122,0.0912266566801434,0.09583118258702561,0.09483662046583569,0.09245178025321454,0.08858146264855069,0.09170102160614016,0.08674695127864467,0.11034997858810262,0.08688382956742717,0.08682201172667317,0.18081728491379956,0.1249985586629767,0.08957718176313331,0.08987201592582099,0.0867156121135671
+392,0.27393127076018886,0.1298870615097792,0.37425919003781594,0.1952505896331446,0.318666191547489,0.1302556108312654,0.30978173270569725,0.1959207123121281,0.16822097280938259,0.23003066983594503,0.22908797667682648,0.08458382765454162,0.29395915772319414,0.20629426933356218,0.17935243587672564,0.31146550171935916,0.16210492406517935,0.21139760010114844,0.21797629000151642,0.20423455909128155,0.2547012325815707,0.24856982508288156,0.21416762493175054,0.19963358969148493,0.3295533954380039,0.3525779446154634,0.26360356089001763,0.2759146205658209,0.09920926669532458,0.09709862799423864,0.06657558658601184,0.2384706570733611,0.11739441623977812,0.2007876127745357,0.13311072363005946,0.07656270712452846,0.07679660052302151,0.1973822992157501,0.2833029485610036,0.12053689253590934,0.19321606552938853,0.2369439549469158,0.14041495976732915,0.2698909410055168,0.24461636371803977,0.07680610902906916,0.0728950419646512,0.11000898398420351,0.08298795363519981,0.20398776660556578,0.22787496952248298,0.3162338070911295,0.2714688895534034,0.24332950946211868,0.0736272624183354,0.25330358136021236,0.12458316987915186,0.08473567614819393,0.21434958331957055,0.14087219272431137,0.13016658787718258,0.1664452315635044,0.21880181708311355,0.17482897007269232,0.09145445558797649,0.12810876961076462,0.28557565548798264,0.15704265980482154,0.12434106270736382,0.24173261491746217,0.16995502336786533,0.14375027468576687,0.08172606281932851,0.14149625647345188,0.2394844843526662,0.155676356006412,0.0547399062107273,0.18136591671692692,0.11399760198019197,0.17277574526561587,0.24281706925517163,0.2046741801952177,0.14446319461155796,0.15463269898359655,0.16558320845659102,0.1690889085067797,0.08235133803833225,0.08520357853669785,0.29292785038010044,0.07402705832679153,0.10140466153334489,0.2406259892940318,0.21655904290034264,0.1672452752242992,0.1874319952878731,0.14555759948565977,0.1293485286985279,0.1329776903854277,0.13786358543425,0.15269668085821755,0.0978439740922081,0.16924779547976143,0.18297133383671735,0.09243294815164596,0.09255631162507104,0.12335586435536597,0.1288014522117643,0.10399920545512722,0.1424329877853039,0.13479943355133728,0.17007059361803123,0.14375354476631194,0.1080368362248141,0.08722424815132555,0.1219159809769385,0.21293269955667937,0.1488052603282397,0.11743933207773567,0.1826261795340313,0.11858677372799369,0.16405951382696563,0.20446594855317984,0.23712776025199594,0.21950598389662052,0.1962885324690989,0.25181054342037706,0.11383297835333318,0.13675534216971474,0.11317379061788681,0.12189241157749303,0.1368595955947339,0.09321065161656118,0.23309507706746993,0.15091284736589472,0.15079727364637224,0.11907062882671521,0.2601208636052075,0.15802090792003556,0.08396901280870993,0.13676334232417164,0.10692525971512752,0.074313000825216,0.18069478581017637,0.08190439753888083,0.09238895195412931,0.1497917095202937,0.08055607863156695,0.07406577146600245,0.0786625341348501,0.08820166089129197,0.1286881775988323,0.103886698033618,0.14117936919259602,0.28747498589909787,0.14449982810650996,0.2243555962246986,0.15271752526978258,0.19262276122374797,0.07696088714419361,0.17560189077140467,0.10423255687588402,0.07913957154249485,0.08903758264902223,0.08299318149908295,0.17450785448918446,0.17501705747778806,0.19353119784039574,0.1429251730878511,0.10799701487484371,0.07122881332016187,0.09401714337446727,0.09483312016168421,0.11363611616144086,0.14347645417444746,0.11617830832189974,0.07056729825274635,0.11474224958493444,0.1189930754836069,0.18053792232715654,0.0787939872271122,0.14963852650704942,0.09866974232596533,0.09070712168647568,0.14068961123197282,0.1601446294089855,0.0827140687871366,0.23176823557513065,0.0629133903470038,0.21216870613685354,0.15511798759236514,0.18952678222639327,0.09794825964482813,0.13873251234750067,0.1500945544089322,0.08455306259733275,0.09024349816463965,0.07952083938341895,0.07800915979059353,0.07392813937192866,0.12396710506604025,0.09362884080631549,0.062275057506012615,0.09232827407703652,0.08714253657077961,0.10701792934285478,0.1324605935612532,0.08118390302195087,0.1343443794026975,0.12341620197207816,0.07004048530466135,0.09909214365197422,0.0,0.0798990291479604,0.12133827622230582,0.079394981481783,0.0932955843240827,0.1714439827167347,0.101542247192171,0.07270257685188487,0.06366112618306302,0.07264681477629217,0.07554605287519164,0.0737958428379404,0.07183873239239344,0.07706284632142613,0.0708693764969417,0.08862629146115086,0.06645957388051733,0.07888956940645575,0.09697913884284959,0.0761168585569901,0.07935629724706784,0.08689097953055792,0.07552486954292924,0.07244749801557657,0.07832302748655524,0.0700086882966794,0.09827422050927472,0.06895504264079885,0.07030701519554519,0.18658798831519838,0.11953111454019093,0.07377737308148614,0.0741368817101613,0.07010616488144814
+384,0.2849785142588019,0.1202012511799292,0.3730040082516291,0.18472848105466727,0.30943307789893953,0.12080660563329501,0.30170762249477034,0.19009560935962466,0.1541557529115496,0.22520134265171887,0.22098113644202952,0.061054084019475596,0.28930255989982767,0.17961839395261034,0.16881301382656305,0.3044101312821134,0.17151208774898913,0.1917414193529531,0.21233404108786824,0.18275354578080233,0.24500537974226544,0.22655716636758486,0.20711422822228323,0.19481453341628438,0.31641180323254586,0.34551706744986665,0.24859528630405195,0.2682760811576964,0.09008775887456914,0.08633297857865893,0.0865381540039664,0.21756824832675556,0.10628612069338522,0.1942667506652705,0.1317067544853431,0.06269832908108466,0.06035847283226053,0.1904420790276736,0.2764851319921475,0.11372622857031249,0.1956454232755086,0.2205941992659847,0.123299426866302,0.2424876802852159,0.2392997838565163,0.0656880386205647,0.06578081549188862,0.10443743968890966,0.07384055660648306,0.19908949219158203,0.2135581594770808,0.28722728569027306,0.24482750217532614,0.22525049123119237,0.04686972747087293,0.26178574290077933,0.1198920112647066,0.0808867373745467,0.20600946200126616,0.13064220760636375,0.11728268384649233,0.13316815888988293,0.20902620631583252,0.16864174703748397,0.07909551180745121,0.11437134204432835,0.2761795265948707,0.1495041424755065,0.13393560605236732,0.23362302454061581,0.16200291993616758,0.15133463813829978,0.06904089297719705,0.15872301265708866,0.22974070030175126,0.14967826582322288,0.07384920352151896,0.1722486906681781,0.09819560922824583,0.16950292718764717,0.23752616195244516,0.1729733249763575,0.11758763182518257,0.1328341588234551,0.12860358606081285,0.13993917131383363,0.06845598752736803,0.07511059765550514,0.2939294471971157,0.06057825569550717,0.09081153031533296,0.2358878636443982,0.20974827975738974,0.1369316608645757,0.17755277951066215,0.13848966210898558,0.11671891861985946,0.1106931884145733,0.12933921982814034,0.16102186884573796,0.06977152446081109,0.16397243014430457,0.17641955595766812,0.08070879403243815,0.10557414679201865,0.11446893649907917,0.12406086321054002,0.08408293417451097,0.12781295606538687,0.12686456332733922,0.1658439999372933,0.13342568862599888,0.091619468034595,0.1005016720930372,0.1136669364759866,0.1888773779901114,0.11399707839407726,0.09028955135376732,0.17462748751184295,0.10775504705998117,0.159699819431572,0.20736200220739767,0.24238535281449114,0.23193769538257172,0.19691947436635326,0.26065288186962565,0.11394854939715619,0.15206950085859716,0.103500734377177,0.10239341924596596,0.1297194657777263,0.08384124328531933,0.22874677180682895,0.1438497920586825,0.13877972799294414,0.12723169362126216,0.2719394104828086,0.15889807429743097,0.07447674038921262,0.12882422131260493,0.11879729549196474,0.0621354840140366,0.19655142650634172,0.07043349218530964,0.08220607325770031,0.1453140974377387,0.07631089190146118,0.05968993789496549,0.06529461563296307,0.0724183722924679,0.11987853099692727,0.09446823217710801,0.13309292616994867,0.2821709097471268,0.13365006974997637,0.21471366165950845,0.1472050774719849,0.18075632594985536,0.06836949408561771,0.1718614732555487,0.09294481816283795,0.06511381917292967,0.07809915636448478,0.07351779514989205,0.16900556234576933,0.16943026163188768,0.20025423452075825,0.14097949052027262,0.10195258059383094,0.06161718158861647,0.10151297480995321,0.08428142913935135,0.10407613099204407,0.13460065543073246,0.10848608837844069,0.06274131015807739,0.100091834293405,0.10735027684650567,0.17613178496850224,0.06564700319944344,0.1428941608956039,0.0937274868497376,0.08204460877619076,0.13586641886102957,0.15254225250317013,0.06443479957652117,0.22661041276879598,0.08314065527852361,0.20704997491965593,0.12961580435254855,0.18308475063016622,0.08499700381245427,0.13055714287781225,0.14365340944668628,0.05875604813632983,0.099157885009094,0.06742788833357422,0.06611484761674491,0.057760295960556755,0.1135210466110615,0.08173538688985364,0.04828861362367921,0.07963928547916341,0.08196327472536935,0.09707031509027798,0.12317858406725125,0.06519671061292301,0.12462116870870608,0.11393189874459829,0.05672387988530437,0.06585121499421225,0.0798990291479604,9.313225746154785e-10,0.11219364984340281,0.07832626058263266,0.08036072109908875,0.16557597218579415,0.09171275130412783,0.059786581882641736,0.08712724882967908,0.06045318335446661,0.0634102384664986,0.058357489917695245,0.05938347350526024,0.05215774589397423,0.05661890203209301,0.07736831209514043,0.06143507429219837,0.05593759797940905,0.0984033505814999,0.06309683619410514,0.07048800417449988,0.06737197742358383,0.07076601924324169,0.05860675065145307,0.06305946550228574,0.05670388962806895,0.08920288949742626,0.057183221362779146,0.05583168010612748,0.17469434088266877,0.10884036212024503,0.062136028269491723,0.06115119965662288,0.05721385876214707
+281,0.2982555167588195,0.1348632395098475,0.37082319045643597,0.19431070246264306,0.31137015663221196,0.13621577288857456,0.3010857920555996,0.19877441426277306,0.16748758997204016,0.22581200216353148,0.1875044519864224,0.1023426837327267,0.2946293757970811,0.2165525183711544,0.198322885908405,0.30909004683798447,0.12622273444626617,0.2125563227445981,0.2245419823456298,0.20693781176831,0.24355092553088345,0.25124372428002323,0.14761313557281108,0.20326161249146088,0.3235127361828004,0.3352188027959772,0.25495714233794464,0.26777999237884226,0.11189354829393791,0.11457392303539606,0.11393784332931653,0.23698976769393695,0.13115055640282297,0.1955261346762363,0.154829678032784,0.1000383260424909,0.10426041842131603,0.1976341391728627,0.22547532665559158,0.13340648847402936,0.20127494733687304,0.2321724649095736,0.12742426130413984,0.2729934390088124,0.24110513315183865,0.09902874403098043,0.11129011059087676,0.13211709492360094,0.10848129281811673,0.202790550596943,0.23753350100603934,0.3198854072547035,0.275878010782517,0.25936927480691907,0.10857031106903936,0.2753158646931599,0.13995490383637565,0.11504042680944686,0.21487452703194965,0.15060709835981498,0.1425972429238405,0.17499273624663605,0.21744522750609008,0.1781114879969088,0.10768788292707158,0.13825772411995418,0.2830546995677021,0.15742273803738188,0.15054297698668734,0.23914147721931098,0.1725631630997551,0.1673019982775087,0.1055652975641426,0.1828380495774728,0.22054485873164076,0.16415877413468744,0.11034291254149979,0.18190401539202222,0.12881431719023875,0.18402393083247265,0.24091163745164038,0.2138799866743092,0.15836183406138193,0.17689784388188826,0.17621834820021207,0.17952375651310382,0.10648484698612434,0.11110640806305687,0.2586254277716101,0.10424429602986798,0.09921194718701075,0.24486669667816469,0.14911041104278608,0.17748231881323415,0.18438156432897512,0.15299817575321295,0.13370997998859627,0.13925457038592987,0.1263279297279228,0.1805642566739889,0.11433752577907948,0.17895060206573396,0.1432938483283983,0.1110580680470473,0.132518109312263,0.13527780597088052,0.14688540106622225,0.13201147481661682,0.15835986445942968,0.14609275551682693,0.18271008787725668,0.15568621985753958,0.12681994642837888,0.12242840959217455,0.13128788047071785,0.22979026020992227,0.1606063381883085,0.13405324759603,0.1831948598726006,0.12157179303576965,0.175530816641411,0.22433050657793777,0.2560897411585849,0.24971028693204705,0.2107960853323316,0.27485478643157135,0.1390213758747895,0.17269996870368967,0.12601205999302642,0.12833289719773655,0.14657526918792543,0.11439348051044669,0.24416819905378973,0.1552507263201794,0.1590290306172635,0.15367765101313688,0.2869171880771485,0.17621143776904247,0.1071140145667876,0.14641299619810277,0.1284643280921383,0.10286719950315981,0.2162833135681997,0.10591940059012385,0.1082603048908341,0.16567227680490812,0.11162634726379637,0.09890820734340869,0.10196786040058761,0.10660861618636648,0.14279736106477847,0.08603520895272385,0.09087527662672422,0.2863478013942842,0.13644201747665907,0.22012558876729524,0.1647162302482127,0.1777415325838829,0.10040452260355089,0.18743647364159893,0.11820192722347853,0.10095955413301624,0.11021460680573329,0.11057711136185853,0.10526586061685254,0.1063907749997651,0.13580773512465494,0.0956967353719842,0.06506830747404109,0.10179884025225958,0.13304175057476575,0.11274562419833999,0.12270031694860481,0.15590803182699273,0.13222579583197147,0.10381477800220411,0.12736722301952644,0.13325614485107592,0.18749248357443038,0.0993040031815407,0.15669291453998643,0.11965026883516235,0.11253826578458806,0.15460664029209797,0.1593454906443643,0.10729954039617769,0.23232269914417772,0.1168692348198665,0.22799520286503044,0.16722932710202054,0.19070372862591953,0.11881060267925833,0.09543590431794512,0.1612972982018837,0.10975723746920854,0.13384593524394126,0.10617504186499688,0.10049243772059266,0.10235334665021996,0.1325903492770789,0.11749323252065591,0.10055164420652281,0.1109359153035282,0.1090490339902478,0.12201897846269834,0.14357694973481286,0.10426145940331587,0.146054145665133,0.13523232556897422,0.09943979858723526,0.1276726960387389,0.12133827622230582,0.11219364984340281,0.0,0.11234556981591241,0.10760848349018336,0.15590762307873285,0.12118296171455487,0.10178273264503589,0.11878067770869377,0.10084489642713945,0.10333977283821183,0.09853769268030972,0.0998532308512975,0.10380089845205503,0.09988347308500181,0.1111871106711417,0.10248303584986947,0.10433711953247285,0.13014009222276762,0.10366291984188718,0.10773994380800823,0.1040028889499183,0.10170719380963512,0.100409645521484,0.10234685860108242,0.09980050130550155,0.12108538639988045,0.09985652962563749,0.09908282989268705,0.1828687545215578,0.13749787276857123,0.10085456878839576,0.10202974701458321,0.10044234059604436
+413,0.2850318983798936,0.12223310729227166,0.37272427659568075,0.1859533450387192,0.3167771098004271,0.12278999788720583,0.30460712990387473,0.18946219997345168,0.15905768380457572,0.21865075498286446,0.22372635744401068,0.06218065213674916,0.2831647186080538,0.2058278542208094,0.18100753344144357,0.3018842528049884,0.16790398252216615,0.2065094134023546,0.20898911240490636,0.19810725328825476,0.24851326120181422,0.24405047079453912,0.2062694445615631,0.1947554337694699,0.327914830694789,0.35031107944228956,0.2533960468043837,0.2681317266972958,0.08820935318554242,0.08678297942025981,0.08223592735370704,0.23358259082526633,0.10739030606926467,0.19801198642528417,0.11518752882577846,0.06400034126719473,0.06123746499802701,0.19209239280131865,0.27793823952497326,0.11299674413158732,0.19332544417226655,0.22985821862541475,0.13210812212321268,0.2659274851741012,0.22962983498533954,0.059947573764181784,0.057911944239335246,0.10362799213480699,0.058130077040569696,0.19941491767094205,0.20770930988593372,0.3126915575177747,0.2676561855594568,0.24743921145902664,0.07072040354118345,0.2619291339438855,0.12011769961806522,0.07084995428079637,0.20953366859648298,0.12890490110687625,0.12259495995918128,0.16010428324488665,0.20562950414662234,0.16745323110958243,0.07977931531705955,0.11941674739764005,0.2812534873163558,0.14924884886140546,0.13127185050581883,0.23717637873624287,0.16390994271790135,0.15019217330715384,0.0688724916594702,0.15001752492342238,0.23430215525465523,0.1508620472747795,0.06906602629712305,0.17158442103771013,0.10452376459686329,0.1711740466157979,0.23324258980114373,0.19968581075736613,0.13583921840607083,0.1595543114030224,0.1599420156960926,0.1624195202797248,0.05504124825385366,0.08404418727745841,0.29237901451339454,0.05616290840302232,0.09015882875752865,0.2299957229316213,0.2095262306173211,0.16066945397541088,0.17891144683405732,0.13732823632961924,0.12089633723687056,0.1252250763009964,0.12160724232149221,0.15102753699292282,0.08608296386114053,0.16054763377777997,0.17564201844991473,0.08273943873924128,0.10258604956528151,0.1136491498410922,0.12146658165942761,0.10394871617220333,0.1367835651395823,0.13359664830231963,0.169572450673161,0.1337581020575355,0.10062482257146294,0.10545146754737211,0.11385971454989796,0.217023007691691,0.1394258278270867,0.09875080513618949,0.17697877271607404,0.09854933624779769,0.15396660169425908,0.20650102763498693,0.241600155033404,0.2342872354037727,0.19701756153936928,0.2612196419720505,0.09439220121222974,0.1334818655553272,0.09924740665344225,0.09895113241594711,0.12641792070146218,0.07607939627374409,0.22720596093534523,0.14178166261369685,0.1415161398718424,0.12824248203479238,0.27271922137455995,0.15811125428485695,0.07087179074119931,0.12863090547272132,0.1164964323413665,0.058661729159600426,0.19795677435595957,0.06054084261954682,0.0813293234102736,0.12680559271830374,0.05369910978349559,0.05755500807005935,0.058972934238081184,0.07538976843305348,0.11688499000239583,0.09642500406099319,0.13310512208578582,0.2783671281002327,0.12914350653672818,0.21710803236636278,0.14765632172323384,0.1854586126280377,0.06742543487628191,0.15977483302101436,0.09321867281801435,0.06295552712984151,0.07576430693206788,0.07409895581867555,0.16810214227953904,0.16863582796985324,0.20039305828148402,0.11813838353001824,0.09051626345277534,0.05519358922910432,0.09966433453289267,0.08527795772326163,0.10319318212322154,0.1342057862127569,0.10345028411868375,0.059502415571243854,0.09704221242987422,0.10711731645353832,0.1678832930596693,0.05773101369709571,0.14313132020831387,0.08363955850243317,0.0818051964405323,0.1351267706548075,0.15093010293589856,0.07492643646871443,0.22780717350855326,0.07894074790286335,0.21631967016692016,0.15242136873794013,0.1825895985866144,0.08297878508369254,0.13127795180982285,0.14381756638081453,0.07132615591508588,0.09521905447764495,0.06547460520948334,0.05756128439424476,0.05280689974372704,0.11263841780132797,0.08381930842316924,0.06076855655108063,0.07967896980190566,0.07534057530469038,0.09291440919082945,0.12451540236717405,0.06673910676632491,0.12313819973962276,0.11227366676369219,0.05426919757750755,0.10198279749436383,0.079394981481783,0.07832626058263266,0.11234556981591241,1.862645149230957e-09,0.078416794195847,0.16387437883117348,0.09138046012354675,0.0549498475912755,0.07114904831931382,0.057547084092839915,0.05941836855909077,0.05464519484831859,0.05663627966814349,0.06303707218154028,0.05599322530306958,0.07194385144230465,0.048893328416447536,0.06380705154282623,0.10052463177960996,0.05604653988431616,0.06654584154448163,0.06395437474961682,0.06213956041015484,0.05764941916047966,0.06368856378483748,0.05267782458308396,0.08798383230764402,0.055052320961966175,0.05416082439596573,0.17990224682967335,0.09495580289945216,0.0574618740178616,0.04962232924039884,0.048550720464955406
+204,0.2842090064804791,0.1121991670390129,0.3612295361584744,0.17057666480547082,0.29497961767080205,0.10621976442996561,0.27566862889478283,0.17520432209434658,0.1417537470306321,0.20781927371738,0.2083927799874382,0.062004603728369675,0.27574491781172783,0.19544581665869487,0.17456307303314025,0.294634300861427,0.16267889947489178,0.1934688952941528,0.20647211028307141,0.1714191849754047,0.23149001831698354,0.22941125136475846,0.19366308170197302,0.16167173247270372,0.303651724626276,0.32839798192319664,0.22692845846213078,0.24220138072052405,0.07989197872447928,0.08394562378821896,0.07530344482815589,0.2160649710899337,0.09630026818854454,0.17915346956799494,0.13250633930970954,0.058212559213252975,0.07049028784242918,0.17800375841896607,0.25854669416632997,0.0968681929747102,0.18067904288730982,0.21042783299433085,0.11998353442214962,0.2591110195915056,0.21849627194748056,0.059190229944318634,0.0762738274250157,0.09930964026150207,0.06756408023904877,0.17662449719786985,0.2194456388841374,0.30651143009059806,0.26188210759865654,0.24611418461655235,0.07442298780468268,0.25864944669145623,0.10876987469943625,0.08103979357172515,0.18748405145428837,0.12019125412679976,0.11400882701821645,0.14931311188518193,0.19192014338907215,0.14254670340511214,0.06989891675840647,0.09596986868163487,0.26348583048101065,0.1361524154891883,0.12539216714262438,0.22017423676170164,0.15119044268720913,0.13850131274856245,0.0707196369079758,0.16190014750243442,0.20503618725146702,0.11960142448496858,0.07902306279545772,0.15998021278295987,0.09507491185640515,0.15600075514801043,0.20441609955810403,0.1970485269381085,0.12886476773678543,0.1520523463914663,0.15447446502677248,0.1589826412918611,0.06685976348421924,0.07557423254855723,0.2787501883072913,0.06738442531577042,0.07450784058138443,0.22773297567891992,0.19753004856006046,0.1534143011971668,0.16343024215364935,0.11617882217063709,0.10437730725162318,0.11572119111145171,0.10653725369674313,0.1499679447190117,0.08130949557449371,0.1547331359251235,0.16270409770514024,0.07371440471049556,0.09384520811616005,0.10919318458099929,0.11615583100082344,0.10597898095761694,0.13707142702125827,0.10369118171390569,0.1467323743647631,0.11980713686697547,0.09846365335791225,0.09970985109498705,0.10569261732978445,0.2135051862622316,0.1359157084988459,0.10658969352004329,0.14898723946481163,0.09247582344532969,0.14365414412586172,0.20704755384516024,0.24044715101950986,0.2341776668414392,0.19137495000867735,0.2599823121552872,0.11477048143623349,0.15168772019212107,0.09221575548752005,0.10345770092532072,0.12079793370802248,0.08011235534450152,0.22828993213257437,0.12387799284144259,0.13158304794434061,0.12893681934995047,0.27276857125720894,0.15187065380900902,0.06005575856822785,0.12006633218658622,0.09801292976216118,0.06636959681661835,0.19630905598447437,0.06663497568162795,0.07471096988708541,0.14190962494034332,0.07929006410317495,0.06404246789271133,0.061545304046968646,0.06992642135456334,0.11491770320078638,0.09336146026509723,0.12534905462613874,0.2643354212491247,0.11961748811423706,0.1879210775636406,0.12892958959517375,0.15344806314843012,0.06497231102783221,0.16552178485778335,0.08957692295131506,0.06033190641026212,0.07381704991031847,0.06770304514336375,0.16589187674444983,0.16520890767018112,0.19663804029118911,0.1356871908643877,0.09629235139418393,0.06568506804753817,0.10403499779433115,0.07588154444835216,0.09264464189460211,0.11785568181428842,0.09939270764470429,0.0694815042746257,0.09299271356164393,0.10401471902537593,0.1627346027414326,0.06032356229946393,0.12286919702918311,0.08156003230082198,0.06954012866931514,0.11828150604817832,0.1308189766855804,0.07017006440254384,0.19985094491729585,0.07638484147669689,0.20354978963123974,0.13503199958615703,0.1699301812996002,0.08467550787138395,0.11796120308985021,0.12578891884358498,0.07801021831218874,0.10542485552482228,0.0678663612237089,0.06033140635134509,0.06728323087421816,0.09338374974653771,0.07832404077401345,0.06269587805281035,0.05714231587341301,0.07366427753519035,0.07693815659197231,0.108894163499803,0.0682027823785015,0.11234102162190054,0.08898720416078738,0.06288212737173976,0.0979826980167204,0.0932955843240827,0.08036072109908875,0.10760848349018336,0.078416794195847,0.0,0.14945628999677935,0.09451277630056892,0.06636846834306317,0.08715883171849835,0.060578821871491176,0.06475990842443455,0.05981786051711438,0.06505311406167931,0.06919529097801397,0.06242320070286157,0.07326560390846305,0.0676120423619064,0.06858226327270533,0.10328851011625136,0.06515107661661723,0.07275064919771923,0.06929099319772787,0.07059510438994773,0.06362844585924152,0.06697842762806899,0.06344892001884847,0.09007979980940345,0.06371445585134913,0.06306467494237993,0.13884878987297525,0.10838281137537345,0.05978237620345673,0.06338099197016928,0.06225568729646944
+232,0.31287995489868964,0.1746990256364656,0.3687763553542962,0.2075260873391738,0.2882056830141594,0.15147386032432889,0.29329435693375283,0.20141341953924857,0.1549340562743246,0.2157054639188245,0.23440132174204817,0.15848340990971246,0.2870443550179461,0.2335634225247681,0.22234135961561954,0.31110622649805963,0.17178741459451624,0.2288980254653692,0.24190092183029135,0.21712376576751422,0.2016323264645208,0.2588661339169037,0.1984143357892659,0.2048992734654314,0.3122247170779644,0.3411950642156514,0.24246160027621785,0.25256112352399107,0.15707678615000978,0.16341070504201252,0.16398034493861063,0.24742895196971412,0.16707305930146638,0.2119008081460487,0.1933558723838917,0.1486894844541429,0.15841497378348862,0.18717664604839734,0.2510765638145554,0.16806340107559412,0.20856176421026254,0.2231648863745019,0.1718915904644258,0.2893712065965039,0.20873681221054308,0.15295632983959093,0.16427618445954004,0.1767158882425258,0.1636187293927543,0.22122672916057218,0.2521755509675734,0.3319930297044519,0.28782760524036766,0.27805747237341494,0.1626614999071485,0.28973402764387046,0.1563885915134136,0.16384123998282635,0.22213952877923202,0.1889992709345557,0.17148560963653695,0.2020801444606343,0.1789580873907429,0.16635970294975097,0.15320208676041241,0.1633974250080095,0.2679198674107772,0.18959061814799633,0.18225005557268392,0.19694550892496357,0.20266030710951885,0.18941880448213477,0.1645249863163974,0.21176303433373095,0.2161667715873826,0.18003481386545367,0.1662493923894155,0.14343930558627588,0.169356552439915,0.20772503863047082,0.22092008175657948,0.237938539484659,0.19515455129070197,0.20669171200522465,0.2062377467838176,0.20949090538132809,0.1607200649564263,0.16073029465916716,0.2270391535367866,0.16153888179603387,0.14080436531105764,0.2588189042335633,0.20971488909971842,0.20574757955033554,0.20177631726638956,0.1717006967157821,0.16922839484988525,0.16362594135243477,0.15454795184907086,0.19093419212023824,0.16279705841729783,0.1796480103256439,0.1208113884465669,0.15122402380373048,0.15294277122484704,0.14730525558081947,0.18698037651377467,0.17469896524798692,0.19348862744848822,0.16228083981280383,0.1862133868865566,0.15564274401857378,0.16637021737370428,0.16540648223438273,0.17065607259514548,0.25007946162191386,0.19398097548139365,0.16370246182575582,0.18049278359771345,0.12121632390310648,0.1865994996492396,0.25113766246147057,0.27581288795776276,0.270604494591497,0.23628987692270267,0.2937432705817328,0.17841021762195441,0.20299588837507057,0.16705349620842072,0.166354751236675,0.18812440985470005,0.15915378046475573,0.25516005627214416,0.1764995549048002,0.1326686212501399,0.19444483912488156,0.30250984426906097,0.2035809385490049,0.16193021961281687,0.18891275714724146,0.15463390957386622,0.15723577731510516,0.23893192423633222,0.15586169866656996,0.1544883581412346,0.1953439553394565,0.16185852213829308,0.15773606490448325,0.16207197105282709,0.15392731021113656,0.1727991874721028,0.15792277526422221,0.153296273828131,0.2578228502305599,0.1279189942329753,0.18000722726547466,0.19394781708178896,0.12797412933642213,0.15342690112706697,0.20938591184225072,0.14535176577998976,0.15900382552248563,0.1595599698419674,0.1582141002742231,0.18281156155637787,0.18323084677680004,0.2025822866237206,0.16829668163539546,0.15207270705105125,0.16025878440786925,0.18019922526159546,0.1625978718113697,0.15021896620036715,0.1745455601320612,0.1684977040429521,0.16265028317568095,0.16270279007937608,0.14690482042123265,0.20932379857088174,0.1542377028458431,0.18354035646304637,0.1620259729843387,0.16197687960184667,0.18392830873179478,0.1784029957648869,0.14782823125817232,0.22838035634774995,0.1564213692865515,0.24003773078975918,0.1873509485722443,0.21557815505958586,0.16318319786720986,0.16418457021112004,0.19012982081268429,0.16337142247909697,0.17918508854058296,0.1643334793655142,0.1531755754385254,0.1607434357383824,0.14771814305308562,0.1659100617285711,0.15694696002720457,0.15364480161529082,0.14371818009907558,0.16037328285364463,0.15828021051295735,0.15819964857301078,0.17950657811237006,0.1580261808585665,0.16032077626474034,0.17300316653804698,0.1714439827167347,0.16557597218579415,0.15590762307873285,0.16387437883117348,0.14945628999677935,5.890201144234053e-09,0.17338451326339915,0.16078186660275048,0.16740446006531692,0.1611499314313832,0.16090740113133994,0.15507924578354146,0.16057913977906416,0.16224607668030094,0.1592212815014212,0.15937153154637845,0.16226625085620294,0.16225885270267096,0.17355830956843457,0.15922011541755482,0.1653668167726172,0.16440013378125287,0.14854529619445456,0.15942508463434038,0.16019964352555774,0.16058986690713606,0.17429403919711953,0.16063276150879668,0.16037420602836877,0.19524007033850194,0.17035659889435759,0.16107139410216406,0.16095131159713014,0.15937674124959056
+383,0.2928942215250181,0.13221239199774315,0.3800056461715195,0.18868675689006356,0.3204129096263738,0.11816204684140762,0.29736031719353523,0.20074139942261848,0.16912190348541803,0.2304416332548184,0.22887300492790144,0.08606485953884883,0.2964285084105704,0.21255576004482718,0.19216471580602262,0.31184295472795737,0.17928379213067425,0.21307509707495495,0.22137232889042466,0.20412246607718723,0.25068986717285013,0.247439707007062,0.21205539353120847,0.20170363070209588,0.33099461840686045,0.3530859408734431,0.2575828634667482,0.2764806696147483,0.10296503494133384,0.0957123832523499,0.09605526911266656,0.23473707310755834,0.11562322301228145,0.19875004570945437,0.13810391263857785,0.08101748111479272,0.07067867650605276,0.1957758959783395,0.26481128286867617,0.12466852614417574,0.20499623858783425,0.23812110443585088,0.14094052856181002,0.27143808496192906,0.24909889215548256,0.08207222726569086,0.08983655015918994,0.11606508499991253,0.08161038058839747,0.20354719597520612,0.23126547182945018,0.31703406149822233,0.27278138460441076,0.25505356648961086,0.0873621714499465,0.2522402750699586,0.13254687204401094,0.09393621632900968,0.21533107477313865,0.10977383927643257,0.13211656091900134,0.16793509588152253,0.2189523846106596,0.17838165538835685,0.09476103700172446,0.13074092749713245,0.284140153913542,0.15729344551068308,0.14233130724969167,0.24120884102565188,0.13799723484016915,0.15652452242645784,0.07863313744202496,0.17139077480274845,0.2378961234658453,0.157218883453861,0.08789049212943445,0.1824532897862671,0.11546373761735527,0.1793330620631558,0.2430758108842358,0.20680727755904513,0.14723311127022207,0.1701521798973791,0.1679848910541494,0.17180311698568893,0.08586372304054132,0.09691431064851465,0.30332414629411264,0.08122593616332865,0.10404354752389944,0.24343731884445188,0.21703866136778724,0.16886756636018344,0.18400371526447754,0.14190434594490337,0.13058133984144166,0.13597119474057423,0.14217290152561254,0.17689384900768398,0.09925865967152266,0.16646879685413163,0.18482341423927687,0.08045449280078296,0.12104163155878608,0.1255901545028728,0.1332666614496292,0.10752909304033739,0.14127343205356774,0.13985959272958035,0.17687624730594326,0.1433913734173595,0.10442067532695232,0.11696338445335212,0.12446312517321667,0.2240814822170328,0.15135868058434787,0.12388562441640803,0.17758620517035595,0.12098504190527747,0.17056829313918093,0.2146174953197446,0.24848469249365362,0.24098314136212262,0.20383148149617705,0.25045446793639553,0.12683281584794912,0.16318925558040584,0.11376180973946776,0.12801196988841432,0.13889494009447817,0.08882533404199985,0.24069723205204202,0.1472651810325475,0.14710181465899871,0.10708902920766011,0.2803610666055219,0.16809933479422348,0.08625219833635904,0.09443519473102387,0.1298621505889332,0.07963477831467027,0.20748787941631303,0.08527337502314121,0.08023054802916009,0.15502171518996594,0.09088131834977035,0.07760258759230824,0.08164015769241792,0.0894693362890704,0.12984654398073522,0.1080940532515644,0.13696382381162872,0.28901167246635656,0.14545880369465164,0.22156998496556712,0.15669401155684426,0.19162129980935513,0.07075830017761182,0.18012092137260943,0.10103268350152753,0.07582969356436335,0.09136482551222472,0.09028611587834504,0.1758418318517596,0.17523581978777295,0.2074201104315817,0.14974971929857098,0.11326759762809135,0.07799894991908249,0.11691719869208587,0.09963716243000434,0.11251341936088317,0.14015725182361694,0.11564577485192336,0.07977768805820694,0.1166574779447049,0.1267023804459932,0.16093973372481543,0.06924904827742284,0.1484782401378885,0.10562395221510887,0.09571789805554332,0.14540951315745074,0.1614367262595366,0.09082395098421298,0.22870989785648269,0.09954220721660506,0.22517095841817808,0.16214778851315606,0.18909327577284946,0.09713299081138717,0.13950615522788065,0.15283514097720624,0.08882345024239206,0.116513410659138,0.08351657251814541,0.07173461095694353,0.07796688666714896,0.12396167691652252,0.0990095035189433,0.07873896462229983,0.0943106451743067,0.09483123531134716,0.0949199621120273,0.12359416949135431,0.07198286768628553,0.13842310967758226,0.12348223610047264,0.07409569582438316,0.11372035679073596,0.101542247192171,0.09171275130412783,0.12118296171455487,0.09138046012354675,0.09451277630056892,0.17338451326339915,0.0,0.07697152853701866,0.09965666372673995,0.07684241070206223,0.07877995963961777,0.07476488038577717,0.06246129104096305,0.08120702628028827,0.07525338480790983,0.08962999618551996,0.07775605361996653,0.08315716462310152,0.10396708109444384,0.06148092783734901,0.08519945813613969,0.08905046597991824,0.08360569415639596,0.0770113131604696,0.08164132665189017,0.07412977649892023,0.05376260663773532,0.07441185820542179,0.07457681568556872,0.1865346224159004,0.12248115723731309,0.07813442212807803,0.07789504576516146,0.07515473652875726
+202,0.2852528970407575,0.11318438170957634,0.3737456306192978,0.18411864503773434,0.31533491630063176,0.11660148661022533,0.302539200699994,0.1882120330175037,0.1551899419440581,0.22253948189224085,0.2194636020282747,0.05213732973493351,0.28637037288622774,0.20106590565108787,0.17839904477875607,0.30346091639373807,0.1649102674968272,0.20102338693880964,0.20981767426263076,0.1936454358220567,0.24734410748200555,0.23960112127170705,0.2009601598130028,0.1910567258404521,0.3246522984122883,0.34740293851121945,0.2557305355768962,0.2698506256369242,0.07494581444347845,0.07214981337793641,0.07427823719057591,0.22819486457218668,0.09602338305474596,0.19167097777776165,0.12013194502371508,0.04046735505183549,0.0405125550073601,0.18706472757008452,0.2760639150552514,0.09969921593923381,0.19285307639581586,0.2277633282483939,0.12375347256751087,0.261926150830474,0.23783590681356823,0.04466071137629648,0.05547454117765037,0.0923109082774524,0.05259481731346343,0.1957584522276111,0.22316170347999587,0.30981530796911444,0.26232513805351193,0.2451019817386942,0.0512043785520849,0.2609669045821587,0.11235364799175734,0.06116035373669976,0.20401202839102542,0.1243830873274905,0.11335385105417665,0.15263577272430986,0.206843696895766,0.1589177892495468,0.06474683691083459,0.11047547547948511,0.2790210758828335,0.1427783364437822,0.12423735872324856,0.23324302202595612,0.15689892211643874,0.14358442081638143,0.04762775874430433,0.15712770066542045,0.2303975867477193,0.14538446996626578,0.04783125483526947,0.16838483893483583,0.09272280867894407,0.167771937430286,0.23794813602037235,0.1935487370892064,0.124982610925809,0.1539776154375431,0.15127675567311363,0.15623763142676955,0.05124160492220887,0.06852744506305103,0.2953752729102724,0.04091768070215634,0.07721044433428698,0.23098960217310024,0.20645840651541303,0.15376987217003377,0.17577601774815044,0.13184475939079826,0.11077597467265846,0.11631414098765396,0.12414545009135007,0.16131159703798087,0.07038374230622713,0.15925971951774762,0.16963466477722322,0.06620828098267478,0.09926526244265817,0.10593545690022142,0.11400415451891215,0.09332452167723841,0.12749666219669223,0.12586414655419184,0.16292900500797639,0.13073719039658552,0.08715961634122674,0.09488068463351305,0.10201498594473439,0.21210880864184306,0.13300638733179376,0.10046669185554585,0.1715312581895012,0.09935985752132095,0.15663574626548696,0.20343319209292635,0.23905296668801335,0.2316631834703781,0.19229278976545386,0.2592727690349078,0.10445030243795726,0.14423119934583495,0.0919597880978185,0.10748563009687565,0.12047597929870915,0.0649394637867,0.2299856164394189,0.1354790348660442,0.13675624120503987,0.1218333879044677,0.2717787894580578,0.15106409653779337,0.05356448341520813,0.11974328079644424,0.11007940704122869,0.0298183361903775,0.19584535050981955,0.04346203973382331,0.0635744234441091,0.1360695624254073,0.04931024912294332,0.02862209325416848,0.0425728714202671,0.05897869860344394,0.11667269737589164,0.08368367356588959,0.12368126050956539,0.281126733542288,0.13269836446609348,0.21684866889317778,0.1394406698721911,0.18029552657306575,0.052414461335161436,0.16491582633736696,0.08368213975534018,0.04367353517391557,0.059498989600940126,0.05752145660185577,0.16130937808622872,0.1619091861034543,0.19509198839688482,0.13052699442257681,0.08836407083261962,0.03235244878489197,0.09200552321336794,0.06996794239074716,0.09468426661399505,0.12673516064517157,0.09222438607482457,0.036369350820251514,0.0931342481505538,0.10113242563049664,0.17121237568162856,0.037122680984631194,0.13528077849438477,0.08022239245260582,0.06461132168418152,0.12431255362685115,0.14262184769986513,0.057782473265017925,0.22329603226445252,0.06928038522398788,0.21387944587456537,0.1469067055780218,0.17747378641186076,0.07678111057157085,0.12209199062173727,0.1349826572362115,0.05319938677458766,0.09299507921751324,0.04390471869258514,0.046007342021897296,0.031336606215406015,0.10582538345402304,0.06908977627573668,0.034352152577356174,0.06236525059204728,0.06739349196464336,0.08596331466031848,0.11634604974585509,0.04631157567244592,0.11933703126663123,0.10619484796077314,0.021727978942208168,0.08897555038066042,0.07270257685188487,0.059786581882641736,0.10178273264503587,0.0549498475912755,0.06636846834306317,0.16078186660275048,0.07697152853701866,0.0,0.06802056309096052,0.031194877616986808,0.03570078276792921,0.03189923534111137,0.027603338053497732,0.038892647440251164,0.025714549192395533,0.043109229707349934,0.03189114529936605,0.04259417434530743,0.08757760226602548,0.03730971247139042,0.04742903515408837,0.055923434025704474,0.052359429036884494,0.02901061125442082,0.04206178119466924,0.021615163932360137,0.07232525617887157,0.022045625918289853,0.023072786787051183,0.17555167348356313,0.0956939511037473,0.03423085922626035,0.01872739550775041,0.025551319260982513
+177,0.2890424193842348,0.12673766223173366,0.3740798782259508,0.1890099697838764,0.31823210087048803,0.12929158338088606,0.3052744485759508,0.19107901738771396,0.16334191627656394,0.22843569299801592,0.2234244437508493,0.08060405147161649,0.2837483373801159,0.20748345185744116,0.1772635395148828,0.2994288989509788,0.1565703149328183,0.20864744838409163,0.20978058814000194,0.19813470842210812,0.2509020514874319,0.24551934325013913,0.20751645099389457,0.19784144289463027,0.32826816620491595,0.35062760309672975,0.25935420638516415,0.266830279166768,0.09658899608644057,0.09393712638356143,0.06488595094615468,0.23707217603618255,0.11422436623168064,0.20005732380779415,0.1212819617021528,0.07188767657072034,0.07238789304442908,0.19418899470018272,0.27924235006594367,0.11252155580678819,0.18325619577221447,0.23086457641428673,0.13841088138761254,0.26627220460267464,0.23808545187807734,0.07131480911012429,0.08023959688459249,0.10994952048902992,0.07635380409864119,0.20168066929448367,0.2144380225923479,0.3146374587940968,0.2698073162444965,0.24014313851680383,0.0800266148840305,0.26390094847280243,0.12558682808652194,0.07745581353422902,0.2125135316600661,0.13915940781716493,0.12578405797302586,0.1637111093037251,0.2076003222733818,0.16926367500064482,0.089186402343116,0.12395606292769215,0.28368456126448166,0.15259106471052059,0.12314401556393055,0.2401351602684353,0.16846132106764197,0.14165282040314137,0.08037255436651848,0.163187122154089,0.23605646605079242,0.15340668840603944,0.04841297531372013,0.17879242217140762,0.11031873570357936,0.17604569474607207,0.2333458676227909,0.201288143937911,0.13414127675404494,0.1469379507899864,0.16351867830903005,0.16451480485915018,0.06736115186005129,0.09136943409005485,0.2851362904925294,0.06565186244433166,0.09262890175386981,0.23029247444973072,0.21094901895423612,0.1632138405901884,0.1768778076304288,0.13825319053542368,0.12576667271128195,0.13117721393484122,0.12980194514079313,0.1446024133250495,0.09578436599664085,0.1688476311832039,0.17892375962135343,0.09193784164547235,0.08637373939512275,0.113548358163846,0.12476254806356923,0.11131801348621914,0.13847906702195617,0.13590336400054456,0.171453658550797,0.1353670306407002,0.10547454705154613,0.09292670395267096,0.11982446937629863,0.20678984477024812,0.14389043655715378,0.10754347984665301,0.18014559723080129,0.10667600023738472,0.15747261831204884,0.2123432364996431,0.24423720994078807,0.23822945979033805,0.2001344846864995,0.2654017631269219,0.10587319320509168,0.11807826188887262,0.1095942694149098,0.115088136756863,0.13387709531368291,0.08565458000289007,0.21697972046560743,0.14412640343520416,0.1440072634412207,0.13644789174621652,0.2772439729223267,0.16043409224462535,0.07268674137837003,0.1315722981405257,0.10058402322419364,0.07046653283776212,0.20232620006673216,0.07072338050418114,0.08850873885356265,0.13087992576858953,0.06080914898606654,0.06727294505158585,0.06951086577718789,0.08180837631950308,0.12439181885534581,0.1022074372002413,0.13837702898302134,0.27795591263682967,0.13116920283168446,0.21838871843730598,0.15149904996434524,0.18714993719508033,0.07919929899340919,0.15499362091369848,0.10183607916706494,0.07013919138503487,0.08655069219835966,0.08476071309040811,0.17289648279758804,0.17259971656661197,0.19461220847248675,0.13441981005121686,0.10638811727003285,0.06689837179081728,0.10579999237055808,0.09490417636724768,0.11190624694459053,0.13689385875111704,0.10935989122485652,0.07313607689811195,0.11222519803020845,0.10733780171737722,0.17579276921003226,0.0731008622014781,0.14473938280780818,0.09441995448690102,0.09031688764303976,0.13867727614985098,0.1500887451961309,0.08378467086390888,0.22846979026275627,0.06712064066852992,0.20915137097063208,0.15473636803551558,0.1874121951949298,0.09451502998713354,0.13626137383097017,0.14757766865745545,0.07776250230939606,0.1067320528659755,0.07545425632520536,0.0741990328627072,0.0668508199805816,0.11335857155733789,0.08143316265623228,0.07243779174583481,0.08637991424515161,0.0841416113155875,0.10293809608365963,0.13074002863132111,0.07484111383670604,0.13098220680467376,0.11433195989046326,0.06756553716478825,0.10903207028015847,0.06366112618306302,0.08712724882967908,0.11878067770869377,0.07114904831931382,0.08715883171849835,0.16740446006531692,0.09965666372673995,0.06802056309096052,1.3170890159654386e-09,0.06487229607683473,0.07211259806174183,0.06705002738312264,0.06989554046458722,0.07439324110663015,0.06839027101523618,0.08133596057409793,0.06460615763612367,0.06820023927293309,0.10581830815001964,0.06992289937497624,0.07486227044255264,0.07489559164584966,0.07390938380314106,0.06673755535824642,0.07066167412387353,0.06783487605389862,0.09676117280517303,0.0679969645674944,0.06756038641919312,0.17826572948029293,0.09765850307211982,0.06521630916031788,0.06680932896593038,0.0680963000459666
+316,0.28254317136472934,0.11102046041070233,0.37076026439882986,0.18214407441425928,0.3125934969117217,0.11350734025446536,0.3017396717446266,0.18615962806405173,0.15038928000185975,0.2218375507676988,0.21508238207031813,0.05266514869971098,0.2865653421131462,0.19929080350770845,0.1780264793701495,0.3025933214580871,0.16458653904545115,0.1995345590418744,0.2089728335944285,0.19110117887181424,0.24490630491049467,0.2387868859828585,0.2010108246243238,0.18946843482844233,0.32344795930582787,0.34506144022980045,0.253626291633134,0.26384797437413016,0.07470294289489328,0.0727779302916599,0.07326165040752304,0.22896426082190005,0.09848256686391806,0.18977284591085392,0.11904751593533164,0.03458160650259613,0.039637609179471914,0.1859215920222145,0.27252659615667657,0.09521502215695986,0.19504735308514307,0.2252252427307575,0.1226298961529119,0.260441757445012,0.23630054903948283,0.041759451977925355,0.0549924920342138,0.0911988690797608,0.04262370928382407,0.19213080197012186,0.22004357208841008,0.3097095561523886,0.2628484686642407,0.24474165034825368,0.05156528254868292,0.25959696572894125,0.10978500447194095,0.056539938031136584,0.20268609296270285,0.12461055918975157,0.11132784121340682,0.15245958482600822,0.20429123102944985,0.1606068235896982,0.06358724230233764,0.10865012070057593,0.2783838737714034,0.1398930605172781,0.1242555233115599,0.23230462434250168,0.15641902714583986,0.14264564810263256,0.048990902090347434,0.1544288898272573,0.22790899709535925,0.1396173724322597,0.0531773788376093,0.16850880343053948,0.09076449010728238,0.16492133911122897,0.23553906041167064,0.19299193330908698,0.11992609987939325,0.15051830284025947,0.15112907025757566,0.15507166901696262,0.04138431016992534,0.06395770808329719,0.29369570465299427,0.0350733294366122,0.07255364166286063,0.23212393172985876,0.2032776816156106,0.15177303916294474,0.17189726115321485,0.1285805375396496,0.11047654344614552,0.11561366380608636,0.11978055702377394,0.15923025024457788,0.07373286724168265,0.15856935880558476,0.1703845677760493,0.06684609993264162,0.09648777319285393,0.10665757497009677,0.11167166129738215,0.0934793862231182,0.12570151945780875,0.12215151424881257,0.1599554885306797,0.1294618809604664,0.08882510232231514,0.09209235113893605,0.10205735707675391,0.21007423540644593,0.13134437983558275,0.09993124420744516,0.1692900172382401,0.09073025649186271,0.1527974032393041,0.20282470504427558,0.23721215217567332,0.2298097916263935,0.19082190252780987,0.2582985409360676,0.10530423205041264,0.14583699102244368,0.09053821497576606,0.10719871548493372,0.11869988428273795,0.06700068594734454,0.23097026029044718,0.13377162027888473,0.13504848853910198,0.12009013394952225,0.2698869034327911,0.15014467164589745,0.04219269827417691,0.11620291938121084,0.10824186394548364,0.036379180392629905,0.1916123462723508,0.048094833898602043,0.06502475541957484,0.13554562424786676,0.05569748079026314,0.03223494177264363,0.03156181424569361,0.05571744980458661,0.11249562559136782,0.08117844053312889,0.12396127241578608,0.2796899394551736,0.12983435236421084,0.2126323038947275,0.13817791213224231,0.17949041333135787,0.049443299818582004,0.16407239516058242,0.08227506357947384,0.03508617619414428,0.0600868400222697,0.05820060953329919,0.16106865068895482,0.16111541218725645,0.19485251601514145,0.13025227574877152,0.08860664926256258,0.031215630690252846,0.08448851771989714,0.07071302770614567,0.09285482401702859,0.1285450216032349,0.0963306316372216,0.03671163126074097,0.09287016293353514,0.10014055860892622,0.16941943777496196,0.04180495740027339,0.13467156094897276,0.07825892466716208,0.06405587572226586,0.12523912337542983,0.14244190599792836,0.057098711082553814,0.22156713408381212,0.06765952540290954,0.21183907939786098,0.14415618694974083,0.1768790672182076,0.07440626226209085,0.12110332559793524,0.1363253317970396,0.05158115278544466,0.087814094512496,0.043032981600725606,0.045908350398395865,0.02960983392958658,0.10258999495801552,0.06092821124163111,0.035943575166800926,0.059824139068159504,0.06287767062057918,0.0838152952087767,0.1155295921461961,0.04080735476293722,0.11696968763740838,0.10216304371068574,0.023574182683889194,0.08897904822605333,0.07264681477629217,0.06045318335446661,0.10084489642713945,0.057547084092839915,0.060578821871491176,0.1611499314313832,0.07684241070206223,0.031194877616986808,0.06487229607683473,0.0,0.037003108701256816,0.02886459620985687,0.026937579463430075,0.0388591281878254,0.027628712958585048,0.059972366652720176,0.033897634927552336,0.03727003730500767,0.08577246862242015,0.03703811531696781,0.044929626045676525,0.0486102095190128,0.05258618689753852,0.029257857916252624,0.039794819954209304,0.025100867519228402,0.07336151777729154,0.023900002972432645,0.02368454097446773,0.17177911046591937,0.09735707615130866,0.019642549109312412,0.02998147427238909,0.027968421400676038
+385,0.2858894171521718,0.11426280931514475,0.37439165158831805,0.18235983231165742,0.31391190694261073,0.11211731209534012,0.301963625405878,0.1883540239292417,0.15504370867616254,0.2228537629735797,0.21985586712952365,0.054500132764625196,0.2881875924600782,0.2020540182468345,0.17964647507678222,0.304379536463147,0.16465365194384726,0.20203715164041264,0.2106130078384953,0.1924549199662786,0.2431299171584121,0.2399900627807668,0.2036965177539555,0.1910474724254859,0.32502752589794986,0.3470353441983681,0.25419423796512874,0.2680340248360055,0.07683587347651807,0.07468528317971093,0.07709620142182108,0.2295503583749044,0.09845852413403432,0.19292277588506027,0.12330061722893187,0.0443052224854546,0.043287924597553394,0.1840682490044903,0.27247420254703025,0.10369732864369816,0.1938261979590788,0.22788812114817147,0.12479596716727905,0.26302311333891537,0.23972193582464538,0.045671691568533214,0.05736802394718366,0.09259726753713278,0.05346476191202337,0.19363737104136206,0.2244651705928982,0.3108368231964891,0.2645921331498217,0.2460402954583106,0.05462005590869311,0.25878741360666274,0.11421987036333202,0.06453111006151996,0.20494720375679856,0.11902176433252715,0.11574851572364951,0.15441785838482716,0.20694339548914467,0.16343527606242092,0.0670312842769387,0.11087372411371582,0.27744115230323824,0.1431392748880287,0.12494317232800145,0.23140562902937908,0.1515052062647649,0.1437841417522188,0.030861047370600508,0.1584448581028528,0.2303786154427303,0.1462830416426278,0.05536679584956034,0.16869170400698608,0.0940627061969948,0.16829416906202693,0.23591908426672,0.19525432018881583,0.1302910197256355,0.15568742304346064,0.15339800294074532,0.15783755230938684,0.05301846602310133,0.0707812651132779,0.2942277098496131,0.042860276530098156,0.0797529117757824,0.23419008055501908,0.20665223481924136,0.15448754641046225,0.17694062220291298,0.12980283435257547,0.11260235453547303,0.11719653557112744,0.12403743531846144,0.16289720498517307,0.07562611603636127,0.15578164780491205,0.17152499381021302,0.05888786472824507,0.09810538294429684,0.10521008972717742,0.11455190328595728,0.09494905498652788,0.1306653533043787,0.1252778513571062,0.16546505842512876,0.12370364042015056,0.09145649746423647,0.09567555718000345,0.1042621238528642,0.212837509841401,0.13518338242587646,0.1043160470945917,0.17196736583906494,0.09966744750909691,0.15693089698278903,0.2042531392395639,0.23970150345834934,0.23257402396306212,0.1918916958914609,0.2569016095761407,0.10747397132696365,0.14799436109187908,0.09306519066772316,0.1085730771539376,0.12161838474299289,0.06881747900032703,0.2329013451044401,0.13659708933787448,0.13214489958441877,0.11708155231380737,0.2725906993896714,0.15508961914075758,0.053574990016888625,0.11451103131546712,0.112267761052276,0.040141843073546284,0.1965956729815396,0.04591613614756695,0.06675013145655269,0.13997050048110318,0.05991559120060145,0.03829290912204439,0.04167278193541326,0.054835264629133455,0.11312899241827426,0.08566248636907227,0.12437677888245238,0.2810806683264608,0.13079110425922377,0.21145225750932858,0.1406311941353311,0.1822639053577742,0.054683455928403985,0.16773982661731635,0.08292595333684537,0.04136634003875824,0.06093943890696528,0.059127346286758115,0.16241313498062018,0.1626001251720897,0.19610002371568208,0.13279159413346414,0.09040767902875378,0.038529751711184106,0.09375115977427873,0.07259823406620355,0.09475198308254958,0.12380703387959009,0.09887773703545277,0.04166496303818236,0.09570664036663887,0.10404225299606899,0.16692257553890388,0.04486813194838554,0.13533651686383563,0.08083701948318392,0.06765120845538315,0.1285910174672329,0.14646662006705807,0.06044234803893851,0.22381123599741698,0.07173385287362409,0.21492407664651508,0.14595262741711507,0.17817266338735327,0.07011365890668218,0.12344891841463171,0.13767361753041404,0.0571351348230674,0.09476320043894432,0.04701589038363926,0.047834318565720936,0.037555801666463426,0.10648751389065914,0.07176631975686573,0.0395530343045639,0.06628477237959472,0.0635451223217466,0.07921499567232933,0.10807808952028948,0.0414894641327761,0.12066339782122291,0.10603594955361446,0.028991571056641643,0.09123548480765742,0.07554605287519164,0.06341023846649858,0.10333977283821183,0.05941836855909077,0.06475990842443455,0.16090740113133994,0.07877995963961777,0.03570078276792921,0.07211259806174183,0.037003108701256816,6.585445079827193e-10,0.036284168834653185,0.03320378899544242,0.04248720173014107,0.029858910527965805,0.06258204529284417,0.037367442218365216,0.04749486885074468,0.09015971434285769,0.03317469121945227,0.04878369848903578,0.05858322217522512,0.05372174146977018,0.03601791828095993,0.045748391371070486,0.028778276382301873,0.06292465787670644,0.029812577595386844,0.030197823393547985,0.17474093572664728,0.1007768899637201,0.031379102721975596,0.0385846711052312,0.02968612877310317
+139,0.2835293415727255,0.10827571406052398,0.368662838109373,0.17653350842485369,0.3087282738196705,0.10725106174133331,0.29751240506409715,0.18342800927049738,0.1474610511484318,0.21660226549716483,0.21214374771866765,0.04731039971715238,0.2823042303193936,0.19601527252830442,0.17582969438492854,0.29782185591413507,0.1597064879777888,0.1972349936135658,0.20489702368661988,0.18713715638250844,0.24031401701145788,0.23558211658695938,0.19908097585286227,0.18600405135828285,0.31886827155986536,0.34172261471515686,0.2470598422035715,0.2601236322375493,0.07244271866767092,0.06898926963915329,0.06900730616969351,0.22400796191073477,0.09366274096875701,0.1876169292285226,0.12010339353782801,0.034968477173418125,0.04070628418475221,0.18221942342236466,0.26792239080024904,0.09772305552570269,0.18807121832296714,0.22041227366266272,0.11837451777243128,0.2595305534780451,0.23103991628199805,0.0387110352675241,0.055540952089865134,0.0902537305343042,0.04972320644294564,0.19010476572171767,0.21786156329467687,0.308024602875297,0.26183269668616616,0.24368311948789334,0.04762055095169984,0.2590226889424587,0.10811925652436036,0.06191685333337821,0.199771746506188,0.12145730691464394,0.11094067033915121,0.14967964245841237,0.2010292545819531,0.15947643324585184,0.05904013544909027,0.10487809702694473,0.2720597796922015,0.13512232856370332,0.11988618143655004,0.2267084048498165,0.15256139173205202,0.13776717403758926,0.046056600062265515,0.15595329585454162,0.2232857662031205,0.1369908019066244,0.052525739180849025,0.1636774750250472,0.08683943131891597,0.1624765077059405,0.23002944724777694,0.19211192229651544,0.12783578225092357,0.15201245768284266,0.1504741993571822,0.1546799117645879,0.04556576201188954,0.0630872472489428,0.2889502912648123,0.03977554360323429,0.07151073744344218,0.22863426293582054,0.20030698618854972,0.1490343236296854,0.16823867176633364,0.12355087230607606,0.1075682735164592,0.11013817325165705,0.11605831591441418,0.15731888958094617,0.06934159635194437,0.15443216607350024,0.1642328953779603,0.06077433755484633,0.094047975261588,0.10016076426556121,0.11081625380866567,0.09092424023374336,0.12639845794924628,0.11716719766904798,0.15917830696841698,0.12211483505666663,0.08746539860033671,0.08934609089137052,0.10016018671777402,0.2107224213354079,0.13161996306485702,0.09689573505596413,0.16308234689738843,0.09056034894771396,0.1498835225105616,0.20271960114924012,0.2378191535223745,0.23055601900663988,0.19001752910877837,0.2581649924531714,0.10197944233032459,0.14147883113498472,0.08555144488839367,0.10380826356867387,0.11708357264645844,0.06207326666143236,0.2254773976501254,0.12937545396995018,0.13094805552667424,0.12120024202798543,0.2714858792180491,0.1500474768869891,0.048741350143235045,0.11537537655786229,0.10571124388526176,0.03591548431114809,0.19429124869685177,0.04680413340576622,0.06191645492272636,0.13098544602228812,0.05293274440374189,0.03281120877597343,0.03767700572709007,0.050753517467538006,0.10846246755085388,0.08153198028948389,0.11940163127556389,0.273866483186338,0.12461426327609741,0.20684335252420724,0.13716052187811856,0.17431079877976205,0.04834852714860015,0.1590195422889943,0.077610512948451,0.035858640962970804,0.05319800359002574,0.050736243780203534,0.15905697791523296,0.15903413552567244,0.19286144478432643,0.12817843310798638,0.08655122458197241,0.031192032901859457,0.09089718693645518,0.06722231742960816,0.08535903429624639,0.1241075353226961,0.09264286052106467,0.03830727494689364,0.090219653773806,0.10041922620352726,0.16676601680949446,0.036154355120393215,0.13111956745482192,0.07343090907762179,0.06228375012215711,0.123308107518528,0.14151855976237468,0.05345831855563817,0.21838650130183687,0.06818483657846551,0.21069110743230263,0.14101273627180136,0.1746118204860708,0.0731977883958144,0.11669836734343848,0.13328168205293872,0.05131554677802019,0.0925327372682227,0.04523458054153719,0.04125500946814686,0.026957945521861135,0.09850219125930902,0.06790461628908676,0.033226067873597616,0.05937509225785533,0.05813099634620494,0.07941833881204027,0.10834186494354582,0.04387017603707916,0.11458399745857299,0.09873463038108886,0.024168410075264594,0.08635557571859812,0.0737958428379404,0.058357489917695245,0.09853769268030972,0.0546451948483186,0.05981786051711438,0.15507924578354146,0.07476488038577717,0.03189923534111137,0.06705002738312264,0.02886459620985687,0.036284168834653185,6.585445079827193e-10,0.029468321582188352,0.04107804558056026,0.025916132912384652,0.056633395119056996,0.03337707449530914,0.040300319582358045,0.08750305708800736,0.03746069726371717,0.04791900191607138,0.05386240676878199,0.04679092755361081,0.029337041741867177,0.034507091093591714,0.02357069782663355,0.07289813237922928,0.025168104511779112,0.023271004027325005,0.16600318108790085,0.09183437715801679,0.03161037225034072,0.03241942011060761,0.026218305988779347
+235,0.28431102991795887,0.11238052835541815,0.37325900120224487,0.1815463290193537,0.31440448234852575,0.11387010852167025,0.30075186120377473,0.1874838459360333,0.1536326204540024,0.22210073910451456,0.2178845523240213,0.05007704908196615,0.28818923975798444,0.20038849166057895,0.17814769891009904,0.30427971371647455,0.16400765851043533,0.200742449668879,0.20933057312988526,0.1927983618078376,0.24519143326467255,0.2389020857002631,0.2018997718754182,0.1903033114299177,0.32465971224258583,0.3467450479753585,0.2532858067926055,0.26837171365299206,0.07366621750957297,0.07126099018295663,0.07311664031241977,0.22740450810926865,0.09601548171982723,0.19026968698875885,0.1204322386118884,0.03886738857058999,0.03768361133290563,0.18661297761742845,0.2711615841200729,0.10212693893973772,0.19450209768728854,0.22657369290934562,0.12269900888409019,0.261565075933648,0.23813973749521566,0.043107290636403194,0.05434386544074578,0.09128562336137087,0.04811354333376603,0.19455308282555628,0.22355234896609077,0.3098004855322158,0.26332721348325944,0.24517545259695378,0.04976361851262901,0.257106112991003,0.11042430869171244,0.06072094358689341,0.20351573174991935,0.11627309973643518,0.11376921547605663,0.1522776521383806,0.2075471148885168,0.16284796988912975,0.06321637836317508,0.1092740070112019,0.2783284669115487,0.14141931135482042,0.123540642191016,0.23249522535831307,0.15013199724579224,0.14313426592366452,0.04541553772285494,0.156311856935275,0.22937252389560522,0.1439011229941024,0.05096629641941343,0.16901337871584332,0.09149619036520563,0.16694794243448638,0.2373865801798734,0.19363666682766745,0.12778554717694895,0.1535355536734771,0.15163923042622438,0.15640014519792245,0.049454625202903085,0.06617013267248648,0.2953475852284392,0.03830396111300356,0.07582835638540074,0.23336863370798572,0.20493493826134135,0.15266588249553906,0.1734322007329194,0.13059428400486664,0.11035081524606451,0.11520642939815742,0.12251664205920884,0.16081408677535808,0.07201030323632687,0.15840650633808548,0.1700892679573588,0.06522348097844853,0.09814914841698508,0.1050492265701531,0.11310470325803565,0.08974287528412428,0.1261309034919355,0.12443540272341304,0.16279081222134856,0.12927927121934663,0.08537640667793123,0.09361806508397429,0.10191344517021594,0.2119061476834078,0.1330865959113602,0.10187525675714006,0.16928092057748875,0.09687263634918399,0.15517294399562134,0.20308057000524848,0.2383293172094625,0.23105820179882192,0.19147069251114493,0.2553809130976221,0.10560910495936485,0.1466174550793559,0.09044253721722426,0.10611180152195214,0.11880540820720496,0.0665713542851741,0.23190365334494145,0.13522924167304587,0.13500765632350611,0.11344155926109731,0.27102757417098067,0.15324532339542274,0.05227491963843501,0.10896099370523035,0.10926104033199277,0.0334896266965986,0.19459947683241607,0.046545436562236024,0.06066652727669004,0.1384821831508787,0.05644004743988201,0.03240639280558605,0.03843732798480412,0.05563138048594233,0.11482254613276259,0.08255300361448455,0.12199390110520551,0.2814980885627009,0.13127391336097996,0.21515062759225492,0.1391725964542312,0.1806681355119256,0.04477991946987952,0.16676756897454525,0.08164347658120365,0.04072643722744113,0.05852734139900409,0.05612180221474053,0.1603155843747069,0.1611024549630977,0.19415490730169815,0.1306796509192482,0.08688994822566395,0.029425352206273035,0.0903264281816098,0.06928662913223477,0.09270160679683924,0.12837175958849445,0.09629901574185777,0.03446194909073676,0.09298188598110217,0.1043877211000583,0.16495786836455698,0.03322833883931756,0.13386992316052607,0.0785891401328395,0.06370502959526125,0.12544028230996454,0.14502632509381505,0.055680723218060384,0.2211710712423938,0.06787354863272912,0.21352542195861762,0.1458357000994692,0.17698373755412475,0.07407848285372101,0.12086760563037444,0.13537625420942814,0.05247025820429053,0.09135958250257774,0.042138815474368825,0.03672855322011873,0.030590118832299493,0.10384809894549432,0.06807612127573057,0.03239328589218547,0.06164456453283621,0.06489219600095318,0.08334660995725503,0.11461205363882006,0.038329197445143105,0.11798412570250764,0.1045580001120208,0.018366932841270285,0.0879313253541972,0.07183873239239344,0.05938347350526024,0.0998532308512975,0.05663627966814349,0.06505311406167931,0.16057913977906416,0.06246129104096305,0.027603338053497732,0.06989554046458722,0.026937579463430075,0.03320378899544242,0.029468321582188352,3.2927225399135965e-10,0.03785776866205945,0.023343112410586557,0.05831408579003223,0.030305529543494608,0.041113907535650286,0.08447379439513307,0.02817319433605858,0.0454671760976408,0.05439247532195747,0.05113438944092571,0.027204412563740746,0.03971095555909776,0.01918560137181819,0.057394781262386486,0.018789284088728656,0.019955800370262455,0.17410133125386557,0.099748609792758,0.030071247144275184,0.03171332720361169,0.02329141245955146
+157,0.28584473308080727,0.11342722046593344,0.37319973007426915,0.1839015719605524,0.3134727129172496,0.11826277808298058,0.3038014625366896,0.18901928274623692,0.15415502625136152,0.22297041800607426,0.21942391058857344,0.056371424728794396,0.2882880121031094,0.1994685596629321,0.1784476205592892,0.3041617567328824,0.16629013649634763,0.19952676976450903,0.21031850523764473,0.19210449913820735,0.2446471412321215,0.23819864432190835,0.2031073422657254,0.1916695576661099,0.32129227694513507,0.3463022852632793,0.2525372724503634,0.26629323082624523,0.07925541475610809,0.07626797443708659,0.07707177684531856,0.2234779057150495,0.0979447061517791,0.19214581376043796,0.12321914465576726,0.04713001539609925,0.047972660962065206,0.18747057957533633,0.2751540153929279,0.1060352927735722,0.19440882634427664,0.22483970716592724,0.12152509892388885,0.24748161090924728,0.23780515219961088,0.04852792838083831,0.06114785595676039,0.09457931922926378,0.05640078256713404,0.19609338743129465,0.21223877246043255,0.2957947272223693,0.24937741677355543,0.22976215742420483,0.05337397890726491,0.26156743886466055,0.11414293442717789,0.06643770937259114,0.205133193330507,0.12660819296203815,0.11223582779213465,0.14241433032824855,0.20615441077071703,0.16418249557497455,0.06805520861098716,0.11140907359064872,0.2779236646826774,0.14431694230032002,0.12689820258064316,0.23291240676661298,0.1577107248206859,0.144990262377857,0.05435243704984407,0.15841835478322014,0.2301558889514524,0.14561037961827444,0.05856785387143065,0.1703022945691489,0.09550695733638015,0.16760330814224184,0.2385693722671573,0.17677768330263122,0.11501850446680784,0.1411925303037151,0.13613108637067062,0.14319285794833192,0.05096846843313417,0.07067981697817104,0.2937912321015532,0.04780219307782796,0.08056436077470756,0.23375057633371749,0.20704693451030032,0.14970784746814958,0.17579827192509737,0.132558185453998,0.11281454563301446,0.11201461670577784,0.1235119531920283,0.15943589830329466,0.07144798748636776,0.15959778528569865,0.1720778717973641,0.0688778706326033,0.10065915133344726,0.10563943395482885,0.1164288582292253,0.0939391301419004,0.12283794440554552,0.12685060618293434,0.16538074242745307,0.12957454860900167,0.08988327418424659,0.09692486659590657,0.10485808655515429,0.19584221071520666,0.11674101955539053,0.08811267620829241,0.17204916323118555,0.09848351308329423,0.15602614151190777,0.20461176857570434,0.24003708898054857,0.23294290210679708,0.19291747729087158,0.26020410095905877,0.10660962568609203,0.146215770117894,0.09434181342843892,0.10251488811667323,0.12293270501415127,0.06998764913088756,0.22950756410884246,0.13736977933450337,0.13570281507836165,0.12498073963824304,0.27295530287518927,0.15554348675691948,0.0587484668858969,0.12208005703494584,0.11187634038288095,0.04344921593163806,0.19774319945799115,0.052284751494840756,0.06845467245054368,0.13872691877945242,0.06166611925112017,0.042503413388401155,0.04879316773481168,0.05962145754763499,0.1148313149601978,0.08596853005267723,0.12628174665299466,0.2814871906349388,0.13186842031222154,0.2146302890025383,0.14078827312222508,0.18088248321270808,0.05646512295109878,0.16762634901725373,0.08543284050305701,0.04713174907113298,0.06503302658647753,0.06307705438333068,0.1629886786183864,0.1631695251562328,0.19635161591764252,0.1326880619799754,0.09172833226537175,0.04297010931584709,0.09684642102820311,0.07214285801417498,0.09602696177127865,0.12915951883713422,0.09983548814654705,0.04562520993893963,0.0952657128504859,0.10480489437847862,0.17107713268245944,0.04828528289700434,0.1363157257896662,0.08266389696004661,0.06875665295353832,0.1282779037237662,0.1460331313437925,0.061868960663079446,0.22369397820880735,0.07313693570489058,0.21332345824648696,0.14545481015011863,0.1789022463169532,0.07630402430636056,0.12423563942222288,0.1377502574208095,0.04295641004412984,0.09679787970416494,0.04975149290775193,0.05025783483991991,0.036359105392072065,0.1078577640007844,0.06965322528664872,0.042361399413848935,0.06622307566657537,0.06974152571643887,0.08826667489298051,0.11672201365077134,0.049471156949940205,0.11995368197352096,0.10671297344761184,0.034818064390674495,0.08866357384177813,0.07706284632142613,0.05215774589397423,0.10380089845205503,0.06303707218154028,0.06919529097801397,0.16224607668030094,0.08120702628028827,0.038892647440251164,0.07439324110663015,0.0388591281878254,0.04248720173014107,0.04107804558056027,0.03785776866205945,0.0,0.03476503750711599,0.06469800068187248,0.041948101987143924,0.04215343409007624,0.09109456652379702,0.04492038725039743,0.05456757194314819,0.05543464823210085,0.05655795161144865,0.03678932708437602,0.046200243316960404,0.03447338036481955,0.0772229275882315,0.03555549549173881,0.032957708488155636,0.17444274484613306,0.10251187081726627,0.042376707933696,0.041419730845181066,0.036325999392436525
+386,0.28265634129356243,0.1107595164674336,0.37314495576448165,0.18247280440078764,0.3135136576908281,0.1145329676456004,0.30324646472222405,0.1863827688567446,0.15341278918866622,0.22099105381012196,0.21812195035075485,0.04954789119986822,0.28709028311258755,0.19784192908451873,0.1762679852845324,0.30300594315471824,0.16305281812081324,0.19899574193353425,0.20824418431189498,0.1905542732162966,0.24343245530979835,0.23657168519593508,0.20235350653302595,0.18943954131733134,0.3227702762147221,0.34617096494242516,0.2537820400469528,0.26803653912440306,0.07270123579150436,0.06991142207723021,0.07115807295595873,0.2274811167998022,0.09571631028507673,0.19064045912877003,0.12075546949531778,0.036233872696859,0.03648041736332788,0.18511036882150064,0.2743132650022604,0.10119728425408195,0.19315491383599334,0.22510301730591006,0.1207419296360651,0.2613768582202228,0.2388076528049101,0.038925903897383075,0.04986070870703408,0.08995788694628246,0.04896673269254144,0.19448107593472366,0.22276623767667642,0.30875946691135603,0.2627070001989535,0.243991502630684,0.045459840714132976,0.25816184122715474,0.11078954875512252,0.05935126470561136,0.20274890142777707,0.12283072719575588,0.11217890726867086,0.15179785600197096,0.20674729829642166,0.16183268810474688,0.062435805065007476,0.10750083309993273,0.27761899098646176,0.14112814916554178,0.12290276851543887,0.23108677501115749,0.15502180963274376,0.1416788271707658,0.0452036216720988,0.15328356570613852,0.22888479902357634,0.14257749885795729,0.048893801487362144,0.16779638819702467,0.09078827339329627,0.1660182393220724,0.2364874252217889,0.19348451135052858,0.12764267524619072,0.15239441324104425,0.1509908913601375,0.15529276478732107,0.04912280721778846,0.06429926924969627,0.2936797722631958,0.037837630292069685,0.07584072644202142,0.23214275318375863,0.20467631040354387,0.15026875736365783,0.17373090276446687,0.1286713806191947,0.10809759033803444,0.1142720059804803,0.12168325581413311,0.16020208865091415,0.07011770193375791,0.1566245952509441,0.1691082662284886,0.06223479819607585,0.09593218897373053,0.10254575500901682,0.11199676585143668,0.09131476733508774,0.12757921750014423,0.12263665129705288,0.16162716782678055,0.12562450796953267,0.08630671230463036,0.09208899992015981,0.1003776415621136,0.2113500190796866,0.13274172616906835,0.10118015621491518,0.1700151821060304,0.09646646216783536,0.15521289544198744,0.2010580330393766,0.23645239213608088,0.2290080582819988,0.18984327640436582,0.25678506526073186,0.10385775448062855,0.14467437435912311,0.08969213986880523,0.1054655983416873,0.11845302017883148,0.06377856100244422,0.23087019334606176,0.13364906442854754,0.13158219439914084,0.11937710589720579,0.26968287904111354,0.15200226158925445,0.05028544562203672,0.11950858430568752,0.10840936509278577,0.03176920505406189,0.1928556223432109,0.04298934565227363,0.06175999912732683,0.1363074355084778,0.05352341523484841,0.029563903356278284,0.03884108890742136,0.05219561552535823,0.11272629304882271,0.08039653211900526,0.12311729308250534,0.28035092647791426,0.12983416743629417,0.2147006776110382,0.138487882712055,0.17932119244403447,0.048816479453738536,0.1647803924290844,0.08003917712953668,0.03798624846163212,0.05688868839254594,0.0540972782968855,0.15987830114603224,0.16018425446472806,0.19375711268956816,0.13015445886170643,0.0857671567909926,0.02849280576462353,0.08904636729971267,0.0666819237977489,0.09235223047943984,0.1261418160245809,0.09506719581603809,0.028253536494296634,0.09012297130373881,0.10198947855615648,0.1701820247727169,0.03806360878806721,0.13377253815155107,0.07693017970888068,0.06192327687317092,0.1254188616798165,0.14529424561917437,0.05251322879415127,0.22254173272864233,0.06695071654911945,0.21198807483164955,0.14256000366177876,0.17633886686879777,0.071773714629958,0.12019897494875045,0.13546469081969173,0.05034323082105396,0.09012609700311126,0.03994632063624007,0.04184253579821364,0.027339611278857177,0.10378145886787055,0.0669751269871552,0.029188125461749606,0.06082336120651518,0.06246037055590322,0.08340680836909144,0.11355226831034647,0.04047661033114632,0.11760719704367566,0.10322434388964366,0.014738994697771691,0.08449119320304997,0.07086937649694168,0.05661890203209301,0.09988347308500181,0.05599322530306958,0.06242320070286157,0.1592212815014212,0.07525338480790983,0.02571454919239553,0.06839027101523616,0.027628712958585048,0.029858910527965805,0.025916132912384652,0.023343112410586557,0.03476503750711599,3.2927225399135965e-10,0.05669790196839833,0.02669681962351411,0.0405893660047805,0.08507303749049609,0.03162314114088311,0.044507994284570515,0.054372517294269576,0.04755082562476367,0.02468389892437841,0.03731504625373668,0.015377888544247488,0.07045035639063266,0.016356511687875604,0.017091604456077523,0.17318411987510995,0.0967519209807093,0.029444235214283365,0.03047434193225942,0.017647316893312892
+379,0.2888982712186769,0.1199099207326303,0.3721790463113116,0.18379375852511445,0.3111281727792071,0.12028579332042519,0.2878624375677734,0.18984106149000926,0.15839900516562758,0.22019904993156936,0.2205676832111797,0.06826014319958597,0.2775796893399082,0.20122109017720385,0.18203393687986077,0.29599163133099404,0.16928704535169087,0.20332679631034725,0.20816839361314618,0.19144576140653044,0.24539077143913499,0.23908690932596408,0.19596269661087057,0.18227908644258461,0.31844927361518555,0.34296539659760333,0.24641521336186498,0.26454476505518176,0.08883989617121425,0.08161142942436621,0.08042535579166427,0.22429084136066635,0.09456620893149897,0.19187843964160678,0.12868961437601337,0.06228187209562888,0.06443455526230236,0.1900941267937514,0.2755030495616221,0.10310178635366572,0.1841263047467481,0.2264954323969252,0.1291180175490119,0.26501535765219114,0.23135505002325338,0.0647817137233418,0.07571489312205225,0.10300957436676351,0.07303850536607323,0.1968034669241147,0.22252117448416964,0.31181630707883873,0.26064604157424975,0.24895654347946836,0.07082423506942433,0.2632199706438916,0.1178080892992335,0.06537420291660016,0.20397436461241003,0.12502266279008964,0.1104398921429915,0.15467555001705047,0.19813374075813445,0.1422990944824364,0.0763340890276614,0.11304285803773333,0.27746185986047156,0.1486250285689805,0.13197010020704936,0.23413325901521395,0.15588448455759654,0.14863432017906641,0.06633972903981912,0.16464450021472055,0.22077838002713196,0.14358020500807772,0.06727465754433022,0.16708727380386945,0.10316139984395369,0.1696485158906826,0.22734454854793318,0.1994103717396716,0.13118223471834087,0.15917403302776686,0.15460843259643706,0.15966592622293208,0.07223330759717739,0.08334840948262505,0.2901438740365833,0.06560020118560236,0.07997052643001407,0.22218515646280987,0.2076255180446935,0.15885885750139128,0.17209011218051073,0.13188401307603745,0.11824083485317373,0.12278012391984874,0.12690627091888376,0.16211232530020683,0.07821157623963641,0.16309458740185329,0.16783321087137218,0.07749559290251495,0.10702063652926151,0.10807867853164424,0.1221043580538454,0.10108545387944586,0.13236958144022634,0.12309817133431625,0.1560760605135958,0.1273216006305165,0.0858980135881078,0.10568196619331853,0.10982348052935381,0.2175719744961986,0.1416701401373109,0.10762932196890315,0.16980232219477115,0.10734304038040009,0.15588089810125755,0.2090978211288944,0.24342230542906612,0.23686610237906414,0.19620419368502617,0.26254204948371984,0.10749532362750375,0.1438994248996443,0.09693956225764813,0.11497431943430551,0.12493832133002955,0.0710943885818882,0.22340883659832964,0.13009112260066594,0.1422333112350664,0.13027391318750928,0.2762140746163701,0.15304510458991905,0.07396651776450243,0.12332699065217648,0.11447888435784938,0.0446406429993286,0.20161238448017552,0.06078958409814336,0.06381206733885453,0.13418597640877264,0.06217226958809243,0.05350574298439126,0.06650953820452706,0.07492762176318372,0.12394033060853908,0.09275965243997486,0.12922484417649271,0.2729221178544687,0.12583689423527594,0.21338552617132403,0.139494329426397,0.17372413601030243,0.06986980683429662,0.15767146863809564,0.09482652107340998,0.06631841418441685,0.07648479924053363,0.07277498408250208,0.16821712728656615,0.16847319099521899,0.20027711685090946,0.1375366252338777,0.10045139954622012,0.060161764927079725,0.10540845079488591,0.07965508694755291,0.10240023307034028,0.11447403908926919,0.0825108906354505,0.06326264939736935,0.10148490554085712,0.10052704735437425,0.17104191037736138,0.05502021745149433,0.12091606121586643,0.08758370477043068,0.07836643082412012,0.11011697864954025,0.12792675262623535,0.0736513430110429,0.208534713105318,0.0842546057281084,0.21212984351937664,0.15062282095313373,0.17758972128560468,0.08990448458932587,0.12601463895985376,0.11647185029710541,0.06586017220374517,0.10645269262470591,0.0665864173610897,0.06606485914838144,0.05908688370963334,0.11080314896848723,0.08463071420069396,0.06029725948719721,0.06379340498821078,0.08037603988756543,0.08505328224586782,0.11867825929155308,0.06845800151942434,0.12018766457299362,0.1087140973837016,0.05585854906325614,0.09996155869933962,0.08862629146115086,0.07736831209514043,0.1111871106711417,0.07194385144230465,0.07326560390846305,0.15937153154637845,0.08962999618551996,0.043109229707349934,0.08133596057409793,0.059972366652720176,0.06258204529284415,0.05663339511905699,0.05831408579003223,0.06469800068187248,0.05669790196839833,0.0,0.06063509755544563,0.06676560751721028,0.09500799975875485,0.0632588162691949,0.06922199337228692,0.0750953703560292,0.07021724733552387,0.05667385560619879,0.06553428673347826,0.05588585266408429,0.08844678209258762,0.05637129396009466,0.05553515526069276,0.16997464272956597,0.09989396501783739,0.06151273697079629,0.046698939373135566,0.057492251670133374
+29,0.2842766825856478,0.11411162787765758,0.3743213224848837,0.1842372247393916,0.3159086835011909,0.11707952817750569,0.3034106125017785,0.18580527239843353,0.1556276547027313,0.22278215660740747,0.2196775123179748,0.05340782810148715,0.2867064038242394,0.20168497986326364,0.17881009927216576,0.30494161288832294,0.1616928654392816,0.20140890119467011,0.20980028271990434,0.19426650183654748,0.24768097816594636,0.2400599621858824,0.2041628997832651,0.19188907726463408,0.32585752777385946,0.3476387730730222,0.2561876284165618,0.270300063034063,0.0756990836832808,0.07301152372478656,0.06757629560630632,0.22977543346433058,0.09926021878814895,0.19248153600773088,0.11761755859027138,0.04225500409290745,0.042597188586073545,0.18791631843220086,0.27612070919334303,0.1053236499973982,0.19389133810310072,0.2280603404871694,0.1243855410363964,0.26281606147611375,0.23804594235345838,0.04535343512230728,0.054449274544709075,0.09309194285286869,0.052867260165317696,0.19624180876152092,0.2198816017406297,0.3105743948016035,0.26411827577040536,0.24345826403253115,0.05247244688986685,0.26005576658812485,0.11305133923755066,0.05340649150796349,0.20452764058558315,0.12496369536464175,0.11506944962325631,0.15369228876487445,0.21042583052804015,0.16464442869997625,0.06602254960154895,0.11103689448263998,0.2793101524672364,0.1431614254123911,0.12471163339904276,0.23368652991877298,0.15733021243324094,0.14421912242441512,0.049067642906588264,0.1552772719829283,0.23098989156828031,0.14677127977133025,0.05208071549115783,0.17016223236432418,0.09378136735890218,0.16854469942933625,0.2347986394041935,0.1946265105541662,0.12959160952109344,0.1552906344972014,0.15273236590570505,0.1578139429654132,0.052070444427775746,0.0689109091090467,0.2936432226678402,0.04237229540533373,0.07881912992554317,0.23142312845201377,0.20659444515708483,0.15442268310293977,0.17666757571461073,0.1327272994393156,0.11186790133084985,0.11697686762419562,0.12476503854490109,0.15604891637159415,0.07461714936292975,0.15896218874755774,0.17130539156958444,0.0666222990739664,0.09350199410738594,0.10850797173045783,0.11446984542358729,0.09406060752966552,0.13053466569170463,0.12645282755467613,0.16453732170403537,0.13129427602873656,0.09073256885893916,0.09536933095397905,0.10308599636986812,0.21310082219029422,0.13424608182031794,0.09861859903416965,0.17210007393623808,0.10032209454345119,0.1537395930104977,0.20264958262363486,0.23823367631625847,0.23072538700805212,0.19192309434018373,0.2582574748306031,0.09657573101355729,0.13530425972080992,0.09274306402176163,0.10844748307523641,0.1211610260076151,0.06914759419259078,0.23249986861186725,0.13774611855019891,0.13745950800356174,0.12168569028032224,0.2712122162918005,0.15403629773358438,0.05440133232541768,0.12148665604190859,0.10652669342183202,0.0381171046237864,0.19516916644279653,0.049783241529027515,0.06812276689358604,0.1347687650474798,0.04770168592367004,0.036551908919286225,0.044074987262386865,0.06045675343705173,0.11703151249310086,0.08448752042618869,0.12581095331894707,0.28026221795012407,0.1311336853893508,0.21692559550877968,0.14051434328338888,0.18220180303266129,0.053413065511514944,0.16406358944232702,0.08484917332483484,0.04470005815472429,0.060518011403715356,0.058671913154753744,0.1616518264100196,0.16241903541873023,0.1954018187242269,0.12851359371520898,0.08906116388268219,0.034304405163128604,0.09213485707864778,0.0710446457501825,0.09548413516511166,0.13118884492031038,0.09759006836487007,0.034414563317259235,0.09482550795164527,0.10151738084277172,0.16856586341716892,0.043789580338037246,0.13635858507816231,0.074493883221624,0.06609818592751207,0.12768672530695305,0.14793375670876738,0.05891554002625729,0.2240761223540502,0.07057028826213567,0.21228071798783316,0.1473207234781789,0.17758777572323686,0.07656194635175323,0.12268244002520855,0.13773492173143073,0.05414313961964353,0.09236456306950554,0.044660260960067075,0.04725331416964811,0.032506464175390576,0.10631666380635967,0.07008276764893309,0.03634183773179264,0.0656136126690146,0.06007651627240337,0.08675345429703767,0.11703791441301623,0.04870727072131927,0.12035268883970897,0.1072798561652473,0.02435993750195589,0.08987228413821409,0.06645957388051733,0.06143507429219837,0.10248303584986947,0.048893328416447536,0.0676120423619064,0.16226625085620294,0.07775605361996653,0.03189114529936605,0.06460615763612367,0.033897634927552336,0.037367442218365216,0.03337707449530914,0.03030552954349461,0.041948101987143924,0.026696819623514105,0.06063509755544563,0.0,0.04456589698979097,0.0883174217058091,0.03913784207871544,0.04871364050752866,0.05741510349131454,0.043832297681256176,0.03069039150921965,0.043126794546441104,0.024271976232558955,0.07316720765981223,0.02533637732563463,0.02495912970950105,0.1761152045665023,0.09935268579488822,0.03553180272827649,0.035458816075223824,0.027830744123533115
+395,0.28612358868743254,0.115860176155215,0.3711226739906837,0.18348645369201247,0.3141015843546553,0.11796989879349205,0.30326475298584243,0.18860798440577242,0.15363961177519914,0.22348089962602888,0.21569354186107706,0.05365911443044322,0.28736331654370023,0.19923678082726237,0.17909320336379175,0.3037329280978554,0.1635574354523167,0.1993953989207244,0.2095930319771967,0.19055911573056505,0.2484809277569328,0.23842610192589084,0.20172086187817045,0.1920351951701648,0.3214660761576502,0.34553496458399646,0.25445072908495164,0.26435017161108404,0.08006205048682548,0.0755342339866313,0.07893736887216339,0.22663989576211102,0.10088571845126013,0.193243808015599,0.1211389711413932,0.046331655182800725,0.05112406511341913,0.18971921811510248,0.2746287115323212,0.10527329779977405,0.19593971184037282,0.22528835817306497,0.1254004295448805,0.25134742176455693,0.2368219349346409,0.05187651711128762,0.06350842706142999,0.09585018271112612,0.05475727541566576,0.1960053138606495,0.21552488042981865,0.2999730706575871,0.255480685415281,0.23448499523705676,0.054650638473606655,0.2603480856188857,0.11271903726338421,0.06385525606108765,0.20512465189054185,0.12792261346149808,0.11320392180000442,0.14417521678628803,0.2049283942365043,0.1641920344859287,0.0698389062483118,0.11295406455300794,0.27936111131435654,0.14279170168502833,0.12721539962212358,0.23485395985524898,0.15967025177481764,0.14603989731794573,0.05731948977506121,0.15996257289895252,0.2305076984919409,0.14622738815179567,0.06045893760139272,0.17172067568645283,0.09457016910173674,0.16940503790748385,0.23770739569119162,0.18106353130813713,0.11488160101259887,0.14276876914759534,0.14090522210448403,0.14232788827182558,0.046471246723865094,0.07182572829282392,0.29256630195867755,0.045421234628526014,0.07686396802732245,0.23372374118248135,0.20492602583072414,0.15166282690537,0.17531988573340915,0.13271977851697822,0.11314098961469608,0.1161735229506309,0.1217505642070312,0.15832397298444884,0.07351195316019159,0.1609955695017715,0.1725945739110911,0.07272478426182441,0.10177724185900773,0.10390894952084878,0.11702686631393323,0.09554780227226496,0.12534128739747485,0.1244012486718817,0.16439446523486012,0.13231594566136617,0.09170566160689965,0.0982828645274298,0.10678558744902196,0.19772345459718202,0.1187379950650981,0.09333268729083884,0.17200308130488684,0.09589679065757722,0.1506673228467978,0.20570549226562587,0.23989329601455023,0.2335188501322701,0.19333054423938656,0.26115281699312004,0.107507486662746,0.14622568627165738,0.09662175965119824,0.0971045790556259,0.12330325120631307,0.07384452016318019,0.22938429970935498,0.1390544980059428,0.1393512583719256,0.12625496245128967,0.2732275478611237,0.15440591779460747,0.05606348009782329,0.12222139724134129,0.11141756397853507,0.04433434663123651,0.19854306024697094,0.05190535155778695,0.07233867989615657,0.13948720632734302,0.06180382170158325,0.042690557090230986,0.04111108897221969,0.0637532139842298,0.11447379148386246,0.0866717296355324,0.1271796870179061,0.28113692033951615,0.1317935600534057,0.2137937693709637,0.14277516890146003,0.18168706367804088,0.06033579445303642,0.165260023806346,0.08856478405676414,0.04856449132206357,0.0657768230689035,0.0638433852490357,0.16376093728919042,0.16471154410280625,0.19714953063474408,0.1320039242240345,0.093423244196373,0.04275587368899013,0.0959570212849604,0.07587791233459518,0.09832589770024518,0.13245191094198294,0.10116984495148348,0.04838445084340289,0.09795534099375366,0.1021357760198251,0.1706232294872475,0.050914661023502554,0.13534890153996626,0.08563713825594589,0.07103684625503508,0.12843114009107803,0.1426420648485658,0.06510487521434834,0.22236985687262714,0.07578327318573762,0.21255529463074724,0.14539608144844063,0.17944390778511748,0.08105358269294631,0.12517998764056848,0.1382252771703009,0.05233461356569311,0.09471288177122582,0.05250610692263345,0.05101717977352995,0.03850182347162493,0.102448774385193,0.05835002486005537,0.04494912725958469,0.07057776865817088,0.0716887844539514,0.08679969506819472,0.11941820798823753,0.052832239904557425,0.11925668904133077,0.10399729381560505,0.03835395549634682,0.08987598802712668,0.07888956940645575,0.05593759797940905,0.10433711953247285,0.06380705154282623,0.06858226327270533,0.16225885270267096,0.08315716462310152,0.04259417434530743,0.06820023927293309,0.03727003730500767,0.04749486885074468,0.040300319582358045,0.041113907535650286,0.04215343409007624,0.0405893660047805,0.06676560751721028,0.04456589698979097,0.0,0.09255179117305563,0.04764026808752849,0.05667997224449086,0.05163048978807917,0.059636306444703246,0.0338982715342926,0.039175817996468056,0.03805727613594907,0.07890643861868105,0.03900328279505859,0.03560645720386013,0.1704985763480063,0.09634271233387934,0.037876361821085745,0.043394611631556404,0.03964221110493111
+229,0.27829868884646963,0.13702688097302088,0.3672567698302876,0.196589301766967,0.3153502895742132,0.13693317003603475,0.3072116590021899,0.1821084876244621,0.1716178479906452,0.23530317611135648,0.2332638059119948,0.09746334584435529,0.2956561933595644,0.21130535484104926,0.19505009828228223,0.3110454993233271,0.17920576615905126,0.2159104982232975,0.22310904079269275,0.20769795234997276,0.25543225976232997,0.2518772304773606,0.21278666052969106,0.20299868715091435,0.33110401125312106,0.3548976545431234,0.2630691216532058,0.27879596947873564,0.11013545791257093,0.10946088008788159,0.10761294533739524,0.23939363582549794,0.12517551647253655,0.19350680533903764,0.14546259974369807,0.09044938115733218,0.09087363017804724,0.19823466173258,0.28252026812622333,0.12408125387612469,0.20945779551427893,0.23710134903250746,0.1473875157807456,0.27367104481497123,0.2379886605555492,0.08984275157980186,0.0892519445040164,0.12413571032434098,0.09544239364199236,0.20951613166519745,0.23434608741172952,0.3195142502305884,0.27017498885577046,0.2577057553957764,0.09298729791883038,0.2521466497698903,0.11890209040755778,0.09222030813353635,0.21700609360542097,0.14283736809935058,0.09099856323328868,0.17317349464208093,0.21550515762965503,0.17540529321161077,0.10391547911478664,0.13534205857003206,0.2884955894221006,0.16341290859350222,0.14866345029622002,0.24543691383338714,0.1710636063124461,0.1616704917694305,0.09178978477449623,0.15209213302107327,0.24018864195009196,0.12943630918279242,0.09735897202122004,0.18434989246241132,0.12200377889849016,0.18187146576468194,0.2447721765868134,0.2100023921824335,0.15010977290663158,0.17308098570681862,0.16865526505763662,0.17261433594871917,0.0898888772424771,0.0994963844829659,0.2988495295514297,0.09028035701753179,0.10323173066997433,0.242693983533573,0.21677607004674043,0.17241713385223692,0.18823810671921448,0.1500287958109299,0.12203882957909594,0.1413869611633533,0.13193998541106958,0.16510512939845268,0.1086701036481641,0.17418217525324642,0.18305138621832145,0.10441783429720443,0.12360329763281816,0.1327071817287586,0.13923248621937814,0.11608090347324444,0.1321903978372236,0.14625605228160105,0.17001397125718382,0.1522075277155032,0.11058840204132477,0.10584050908303308,0.12882869178924372,0.22693514934546058,0.15334107263115748,0.1297606370740926,0.18694059406854427,0.12253327810128382,0.17371091463693114,0.2093088955198195,0.24067281099712037,0.22664032676000126,0.20059896574110464,0.25336482282388834,0.13355222486854193,0.16600268532770532,0.12275194353295076,0.13238517040823783,0.14416119062666738,0.10327854618778037,0.24329176418588433,0.15146799543150896,0.15707500176237335,0.11745424804996404,0.2522421344136285,0.1272306145988807,0.09288889847693697,0.11675988523519511,0.1325004700039912,0.08206848301769837,0.16322662417882952,0.08670218601830293,0.09178375592082529,0.15523319143164013,0.09858765230094017,0.08764814136963366,0.09105046094436355,0.0975830462330063,0.13690360674922147,0.11701412970666095,0.13944657903983243,0.287854384333654,0.14916763507332942,0.2286578337442058,0.15762251607777256,0.19403735524167884,0.09234884587352907,0.17949212882531881,0.10739368581515144,0.09301500853507683,0.10159202846168836,0.09778634246093572,0.17747390181827102,0.17940803781269066,0.20740102660030757,0.15038025534568697,0.11997751948190483,0.08479753412082704,0.10433682318445205,0.10772889072458804,0.12250274591907373,0.14892665981499334,0.1204398680663011,0.08337597702651055,0.12196939847676173,0.12573451317908751,0.18387713902631578,0.09002721131070261,0.14930268691391124,0.11231408883963853,0.10429949360152167,0.14074486293451557,0.14915076008759803,0.09794100857519777,0.22986026175322738,0.09971410745458256,0.22118723077840724,0.16293764860947896,0.18514345571499194,0.09111757063726755,0.14610732073717725,0.15258503001866944,0.09172066620767355,0.06571695536384208,0.09329554771554716,0.08638674883674695,0.08667234029741674,0.09664642901656739,0.10264001887014439,0.0837280686877496,0.09513785586081494,0.10447976761650343,0.11579442589009882,0.1396253375440663,0.08580156323870824,0.13902628763006852,0.12812464911618737,0.08603622151485492,0.11490184910474122,0.09697913884284959,0.0984033505814999,0.1301400922227676,0.10052463177960996,0.10328851011625136,0.17355830956843457,0.10396708109444384,0.08757760226602548,0.10581830815001964,0.08577246862242015,0.0901597143428577,0.08750305708800736,0.08447379439513307,0.09109456652379702,0.08507303749049609,0.09500799975875485,0.0883174217058091,0.09255179117305565,1.3170890159654386e-09,0.08469890776087224,0.09580958659703663,0.09870718544021669,0.09604654798276481,0.08647376715521916,0.09266309042529318,0.08598082633649674,0.10152272182404673,0.08535643448338193,0.08611208902801348,0.19130090010337533,0.12604658881640585,0.08726297464050818,0.08812429067309221,0.08661583292679076
+265,0.2854470433209865,0.1140348982147158,0.37392662840001023,0.1805670883940941,0.3135039265574867,0.11061932769302302,0.2998958360030878,0.18658057504555167,0.15436688424687114,0.22080225880432144,0.218781245114213,0.05008477485895547,0.2879112885441529,0.20089167744677686,0.17855915731847496,0.3037571071731727,0.16368531790582577,0.20215225271667878,0.21002104336807254,0.19216826245171184,0.24330020181716117,0.23931261136761867,0.20257045573656068,0.18907039332263934,0.3238774559727484,0.3469541006942151,0.25083780662880223,0.26735870666948314,0.07722829413929382,0.07520574072604012,0.07701376258118127,0.22750591816257723,0.09839067609090166,0.19166548175048312,0.11818653996252686,0.04439213741243335,0.03669321084282085,0.18180510085798998,0.2697998291070601,0.10409932415153304,0.19441506851958945,0.22520761907679254,0.12501350912518633,0.26238166075437813,0.2376676904303971,0.041731852712687124,0.05185409883202334,0.09306512914143951,0.04923250240968083,0.19254964179907547,0.21998648243704205,0.30981727807595594,0.26345672329265,0.24557120524751885,0.055062197970384086,0.25628864838022297,0.11403239166857491,0.06516431359576594,0.20419254791466235,0.11427240732989419,0.1141361296232321,0.1534303827335549,0.20526500690183616,0.1637459603807078,0.067320512183461,0.11026177814875715,0.2766258432553537,0.1432986932410274,0.12610566562570602,0.2315116382783569,0.14862031603094272,0.1428502020301593,0.04338880044171364,0.15608283870187317,0.22994454307985707,0.14407914616125986,0.05629577990100121,0.16817961565870265,0.09528239409996027,0.16627558944630685,0.2347287646638121,0.1946757527136807,0.12838185954127343,0.15481240741106592,0.1523339814105763,0.15758933422227508,0.04805107637661354,0.07058205087380029,0.29246955906549627,0.04217921290756559,0.07879313857204288,0.233744278576366,0.20361514745102396,0.15456179968290532,0.17422618972201223,0.12837457258322202,0.11242946012588229,0.11724056322537937,0.12101569578593899,0.16043252081192094,0.07521780230255173,0.15507858155333637,0.1707662298340074,0.05976210207668748,0.09919905043659837,0.10618320108796694,0.11402645868109178,0.09144337875031802,0.12604046424723478,0.1241392721520921,0.16294904447222333,0.12427664139578352,0.087032636923287,0.09632327406074447,0.10465351532100721,0.21183180450622743,0.13254665787056302,0.10370450735843662,0.1698947849165072,0.09608612738036047,0.15772125307487736,0.204080073572002,0.23952528040527388,0.23263305421618358,0.1929371413485476,0.2550502977138895,0.10677922853858135,0.14766523632888376,0.09202431506865341,0.10380025726215719,0.12029182382863672,0.06549684654754942,0.23153924369363577,0.1336932654648686,0.13001173914914246,0.11171951751636215,0.27211263243181244,0.15518426362754234,0.04927572819951982,0.10719504991508867,0.11177956120817469,0.04095077358458376,0.19628436585010905,0.03756694803714842,0.05892646017278669,0.1372592801851223,0.05847301436089286,0.038507095534327115,0.04230806392713629,0.058167196419706385,0.11312643776484912,0.08567286463672476,0.11955345735576464,0.2813166987087575,0.12861812500022957,0.21156252494249914,0.1402239431595495,0.18011078115714893,0.04780892806796721,0.16596496263548385,0.07589271637637819,0.041798548919796556,0.06347151179597632,0.06141058590791295,0.16062128358787356,0.16175659838136996,0.1943952460460289,0.12775815675668578,0.08831211775479315,0.03890701836641487,0.09273974351994255,0.07286098220739856,0.09465627081346224,0.12466137692968068,0.09702606998939163,0.042852067439679314,0.09230382878221469,0.10441399526387297,0.1642495336075114,0.037572854589699396,0.13327251713525523,0.08009457115200783,0.06793474336529215,0.12661869616226404,0.14763985312633157,0.05955904478095391,0.2218823326234761,0.06828949036152687,0.21345216047965368,0.14554509127375198,0.17824860945688167,0.07316437798024554,0.12358251413676241,0.13751311081926404,0.05683534311988093,0.09342900345903281,0.04705707797253764,0.035482452779352164,0.03829523227909069,0.10245583403939997,0.07002420570052759,0.04073441398890288,0.06669467283427384,0.06682777759006986,0.07923199738503069,0.11035275856730326,0.03776877871672678,0.11794551854346222,0.10379356993508522,0.03088433947875651,0.0912266566801434,0.0761168585569901,0.06309683619410514,0.10366291984188718,0.05604653988431616,0.06515107661661723,0.15922011541755482,0.06148092783734901,0.037309712471390415,0.06992289937497624,0.03703811531696781,0.03317469121945227,0.03746069726371717,0.02817319433605858,0.04492038725039743,0.03162314114088311,0.0632588162691949,0.03913784207871544,0.04764026808752849,0.08469890776087224,6.585445079827193e-10,0.04765380507021417,0.056385940881880474,0.052298642092759855,0.036973324229611665,0.044059944035034916,0.031329108646340136,0.05767295123430496,0.031111924287289813,0.03188742791960146,0.17310779475563273,0.10005218146517099,0.03509885255914334,0.036582576043862905,0.028226794786762516
+394,0.2868637559135471,0.11339162398221339,0.37488531326638896,0.18279641655211282,0.3159136148347396,0.12097944951605417,0.3051372105745092,0.18799206639157479,0.1587134463719927,0.22514254903104908,0.22071883678480392,0.06153579798566931,0.28971990518141477,0.2033122836126796,0.18120314039622745,0.30570476000315344,0.16747603456747992,0.20192511845407843,0.2125106574495022,0.19532636915679058,0.24859663989709366,0.24172702209057384,0.2055458963236901,0.1890145301400382,0.3261215266180519,0.3483219051742576,0.25516085069682043,0.2595234844709699,0.0808857836653378,0.08065686307268768,0.07751553545071486,0.2313584189683221,0.10420390721431931,0.19503668351849318,0.1271216637617865,0.05120902820941114,0.05166684698210261,0.18843924560404418,0.2765142300100396,0.10669282780110897,0.19249367751852411,0.22840936566174835,0.12825668946709048,0.2631905523646233,0.24013167403101596,0.05090081837736256,0.06640894575061554,0.0636450847789403,0.05496215713139067,0.1812268657451287,0.2243467536639669,0.311928588173721,0.265704222133548,0.24706013425197904,0.06293972643241416,0.2636071113043901,0.11729256872442372,0.07168546927919109,0.206215575966248,0.12928150987494846,0.11827981177343012,0.15663228175862137,0.20845086851572853,0.15228191750403222,0.0641282751199302,0.11033604737150306,0.27730240330989536,0.14522126054289244,0.12847720814596608,0.23544873709705055,0.15987509570737243,0.14551371051349518,0.06034704840502358,0.16126035899412974,0.2305028688964995,0.14635678500987467,0.0636326382002414,0.17222723032435144,0.0970864410056908,0.15403257324593786,0.2367007539488983,0.19690932982429643,0.13126661329531691,0.15689418649586084,0.15521959437668376,0.16075047591108718,0.058715969339522965,0.07628733441052446,0.294478528915493,0.05067347461674232,0.0826920182282691,0.2350777035607595,0.20821169229657657,0.1575437842003832,0.1780754320599625,0.13314410983871824,0.1162833289192607,0.12088926535223439,0.125200948420406,0.1626216690178596,0.0814447591422622,0.16316443130644506,0.17442721980178233,0.0752201515773048,0.10040464848981193,0.10844878675025313,0.09722575590491171,0.10007513530006103,0.13442617055042388,0.12154464479638169,0.16689313054038718,0.12949993449590405,0.09604398831730876,0.10057270202465142,0.1084628378743236,0.21415879760032225,0.13804620117542996,0.10679891165589069,0.16601215136430614,0.10183727668129083,0.15833863390223446,0.2065808784025913,0.24065181462126933,0.23454537735813266,0.1951120924226978,0.26183767251107365,0.11107262197992818,0.14913709973942535,0.09467988745798327,0.11314182492550111,0.12190597329436959,0.07651807134623807,0.2348775118893562,0.13755257850109567,0.13845271904079154,0.12777710144568863,0.274320302227478,0.1579523664125717,0.04987659542843449,0.12464221763498066,0.11552172525948927,0.052009407010575166,0.19984234783489505,0.05629237728160957,0.07101846201603317,0.14180423168648051,0.06728259586775162,0.04323579265219736,0.052664365903979535,0.068274942974959,0.1152272595956057,0.0893388416031355,0.1301015862253493,0.28237348803225004,0.13362534470420578,0.21490650568599565,0.12430855857481646,0.18190704103225022,0.0605961778660718,0.16914138290632802,0.09090399637670991,0.055032348932278596,0.06796520063144128,0.06586295826330649,0.16531779135765642,0.16534704815326742,0.19849422766837393,0.13563812149620413,0.09501831098766823,0.049511404922704325,0.09973261354341176,0.0640654886311627,0.10022135130742675,0.12746839958850123,0.10318832679988592,0.05208235855626084,0.09899290179091133,0.11093561328941023,0.17305578588510814,0.05346563379909269,0.13809405704738448,0.0861078778635949,0.053717403339275376,0.1316418115557094,0.1505256719635612,0.06358083036327941,0.22524368148330443,0.07798074322281581,0.2169105945659682,0.14908043811269833,0.18083685419563522,0.08337061583875807,0.12412804366014124,0.13915850090225843,0.05865664397700115,0.09752482053984607,0.050685316455898057,0.052701858571839726,0.048864360798054146,0.10778849355405302,0.07441976733285253,0.04991487195529675,0.0704988505396994,0.07452184926782832,0.09292853227838871,0.11959092447835713,0.05918290222438153,0.12407190479329658,0.1072175482628277,0.041818655960446004,0.09583118258702561,0.07935629724706784,0.07048800417449987,0.10773994380800823,0.06654584154448163,0.07275064919771923,0.16536681677261716,0.08519945813613969,0.04742903515408837,0.07486227044255264,0.044929626045676525,0.04878369848903578,0.04791900191607138,0.0454671760976408,0.05456757194314819,0.044507994284570515,0.06922199337228692,0.04871364050752866,0.05667997224449086,0.09580958659703664,0.04765380507021417,0.0,0.06504792241645069,0.06383950672254496,0.043412337410294155,0.05479125295519273,0.04269669373586697,0.08109940187774037,0.04319343110703651,0.043223396107395534,0.1739063145296099,0.10485437910136165,0.04253403176379746,0.04689553054244399,0.04457823790661405
+317,0.28735829961653475,0.11933540152405771,0.3721519476267774,0.18586271385809228,0.313188576190272,0.12158949609930789,0.3023754320392419,0.1908616537896324,0.1518006585588799,0.22179502155347977,0.21065728549563367,0.050310194344914995,0.2885188960259986,0.20117274021884077,0.17929411931078654,0.3055331844233953,0.16539271773879757,0.20146134158500217,0.2130987977304022,0.19514068299201123,0.2453516127627292,0.24121895997451817,0.2011305970586184,0.19374935514538122,0.32492242187929676,0.3426811475673459,0.25078963707963986,0.26447363504891114,0.08765186975257878,0.08363185822930617,0.08645123656651643,0.22968377159409376,0.10629609551612407,0.19321455169122895,0.12408514512121262,0.05830540564617752,0.055518039610524955,0.19016394683493712,0.2696373339368788,0.10799656506694194,0.1973651641031511,0.22465029811446638,0.12943240950983598,0.25900559854523614,0.2375187242277509,0.054714724404736806,0.058841537813449654,0.10209874540423525,0.05726042652950295,0.19601741427459043,0.2178862896878075,0.30941824337575846,0.2636277335075295,0.24413173879228767,0.06304208962403421,0.2622362270479965,0.11762604182774747,0.07309210617462637,0.20790357208957522,0.12518121991700423,0.11867324558589103,0.15221473212365205,0.2062124280935205,0.166521080825988,0.07771354349832138,0.11827583979934597,0.28025800310669624,0.14296777659450358,0.1313273949420125,0.2335221391703441,0.16288575998989488,0.14883887197804818,0.06715242166173963,0.15927775772142422,0.23114707331093112,0.14657326736681411,0.07052850659324232,0.17028349650218966,0.1004332786144062,0.1686873784588714,0.2365396081237802,0.19373231655269205,0.12548321899518936,0.1481491848180876,0.15191415859394838,0.15612027558106245,0.04972583688648071,0.07639433771668659,0.2920624733872134,0.051574838343500774,0.07948428290285932,0.23566893665550143,0.19922285779520557,0.15623497936250186,0.17742249115671108,0.13537299622065116,0.11241545338317192,0.12003558750057224,0.11749239622732989,0.1579874809672456,0.0824303574771196,0.16046972333651685,0.17216041392053086,0.08060563252295636,0.10427179647008908,0.10697097176903421,0.12103958292106817,0.10162942520892015,0.13377628052140605,0.1271536234284493,0.1676431619993408,0.13347077421449013,0.09417132492137638,0.10180321813843511,0.11241088776527533,0.20855701678499505,0.13264106454505073,0.1036363429458046,0.17306011108033675,0.10208379533487434,0.1560941564932913,0.206269006570364,0.24226885587767,0.23598497496264711,0.1964049453070663,0.26348103108024984,0.11244778596327282,0.1505070079716325,0.09904900719628447,0.10094806074625844,0.12489235652074031,0.08055748958139163,0.23120821455456814,0.1412670116809344,0.13792548826096213,0.129218150757253,0.27511504227913725,0.15753491024574545,0.058878688191530075,0.12099158506354477,0.10774062273375212,0.059178119953015536,0.1993930885696562,0.05896271428670461,0.07541665666370448,0.1393879876842826,0.07119096782190251,0.04843380262090402,0.04960678945841617,0.06717956430865388,0.11857371264083644,0.09324174150119463,0.1300380986228454,0.28191247053873336,0.13077791017702511,0.21444433601729915,0.14496964512792948,0.180651196091682,0.06484552354893833,0.16777835338832237,0.09045612247577005,0.05067188563259776,0.07307335664639554,0.07154628033768048,0.16681746203637396,0.16746995012028126,0.1981265905329789,0.13433604469391777,0.09584332016732784,0.05618888874518604,0.09924484782067601,0.08452504018278902,0.1018280999404713,0.13202414169738824,0.10683466524911893,0.06028021026291404,0.0942248153598718,0.10079647485987069,0.17503870003945685,0.050954225382851076,0.1359906139330947,0.08825232462373438,0.07635869011639461,0.13175223630284105,0.14232577874788901,0.06972525282302408,0.22421724379783062,0.08109516385595038,0.21647876658944484,0.14614106819763273,0.18177527959562842,0.07470612083929981,0.12391633128759903,0.1412561740662699,0.06474169278995809,0.09934713974956849,0.06318189451303621,0.05435368688272996,0.05464355098009994,0.10728468559794521,0.06958006121317568,0.0558142895282662,0.07472988785655482,0.07617682062825333,0.08876126407531265,0.1229811569966325,0.052478974535414606,0.12281768157113832,0.10620240737550618,0.05242063992092793,0.09483662046583569,0.08689097953055792,0.06737197742358383,0.10400288894991828,0.06395437474961682,0.06929099319772787,0.16440013378125287,0.08905046597991824,0.055923434025704474,0.07489559164584966,0.0486102095190128,0.05858322217522512,0.05386240676878199,0.05439247532195747,0.05543464823210085,0.05437251729426957,0.07509537035602921,0.05741510349131454,0.05163048978807917,0.09870718544021669,0.056385940881880474,0.06504792241645069,1.3170890159654386e-09,0.06208779519495281,0.04800753671175584,0.05613909852972505,0.05267840801002424,0.0867582843349979,0.05318817280417638,0.04938051530047241,0.16830320925472617,0.0991051404009356,0.05159823864633574,0.051453546038677675,0.05045670529268909
+283,0.2839709018161308,0.11258456264111946,0.3687598117941741,0.1780414275964555,0.3050374313655389,0.11122721666851097,0.2936461073803115,0.18059754069555203,0.1455095079165008,0.213600963491633,0.2108576895161134,0.06055417264320872,0.28225287750715383,0.19764115816640318,0.1783425658516401,0.29918893097637683,0.15657317552321975,0.19652876204058708,0.20881629735477028,0.18773230619200018,0.23300929841659618,0.23538673199186724,0.19863762302660823,0.18469027896888854,0.3179750891854054,0.3392795599941915,0.24663010293806195,0.2587679703720678,0.08085146145546661,0.07993589878956975,0.07421494294222794,0.22578746645655126,0.09824578109008256,0.18847496773091882,0.12285021930575211,0.04948854649956919,0.05132287618229651,0.18103894442495352,0.26216160465744565,0.10423290254124257,0.18587205003594073,0.22203596884601126,0.12487143403111187,0.26210268063115877,0.22854046136459333,0.050705871003553546,0.06877995463068355,0.09778080918017272,0.064420612143944,0.1900225671793635,0.2180357617211018,0.30939988633382326,0.2643718795189596,0.24477690092890703,0.064187499079885,0.25971072719198424,0.11111898769461499,0.06763982118328486,0.20223341406241258,0.12528177668990312,0.11331697875645573,0.15472403325213183,0.1988075414136364,0.15914042001237239,0.06941515304550434,0.10915673227818957,0.271749040327756,0.13961025932495494,0.12441902093841245,0.22358260406828198,0.15653365935787997,0.14145281908152874,0.06448898526768684,0.15505680511068823,0.220927025255185,0.13787729996237325,0.06791696290913479,0.16159799946089473,0.09462266502352344,0.16311624577053097,0.22367613728527486,0.19661360188151722,0.13371692243835684,0.1559313727489108,0.15561241520839728,0.1588668417719514,0.06522985352934359,0.07082060925846152,0.2747365370353633,0.05631103537856618,0.07622981932973028,0.22987484227676117,0.1978981857747194,0.15069380568074073,0.1669083525257924,0.12378472342663857,0.11158192152232663,0.11299746599826034,0.11714882588883949,0.15280238206268482,0.07875068957944581,0.1548264520836455,0.15703476501837915,0.06640359053559441,0.09522379432217912,0.09853693727606658,0.11864544545820835,0.09796634399237752,0.131385147954899,0.11820851009325423,0.16180494596272635,0.12211535980664603,0.09610957379115798,0.09557491091355391,0.10627949697842085,0.21415582626113822,0.13824264977155087,0.09968855452207566,0.16266645379116487,0.09296729574825399,0.14848990040846297,0.20581360168657462,0.24004127152589638,0.23178879446767234,0.19407417823064463,0.259053632139107,0.1030394529783362,0.13967918581394453,0.08867172214995496,0.10579996277475191,0.12036751274319864,0.0679244943762334,0.22914986543544164,0.127810871266452,0.12273438027320745,0.12674607326018358,0.27111525138522474,0.15455403451829308,0.06586638012606373,0.1206711353688124,0.09654257813094086,0.053882899487352344,0.19477756659072998,0.05869844455522659,0.06435555716738908,0.13740421954049628,0.06193259588320425,0.04976210946065096,0.056017270810006986,0.055814598845757984,0.10706401751853942,0.09057004921926018,0.12058717197118737,0.2718078662106718,0.11506851678284127,0.20274436228981643,0.14160775382243518,0.16739292516311596,0.05701338987011383,0.16339060567045344,0.07761034595457941,0.051455158448137396,0.06653231327405273,0.06442142128181946,0.16168107543951227,0.16174302924437828,0.1931169453023561,0.1298339776815767,0.09210981909990826,0.052414554282778886,0.09776032947303659,0.0769370769417636,0.08938140424374845,0.12397220256765382,0.09634568957685016,0.05406646757027025,0.09769313865192293,0.09076947989905136,0.16753170741673262,0.04912871470963163,0.13294646938497198,0.07312899273379926,0.07213451976340812,0.12510085615660274,0.14333396852959518,0.06575038810618734,0.21877904399072703,0.07661018991651738,0.2097271745848618,0.13894714912104544,0.17724364725008349,0.0771038898315225,0.11554299789547658,0.13719469154664923,0.06788979901065041,0.09798272416603959,0.06163521893576635,0.05080297218069723,0.05352255984757933,0.09973817874578533,0.07896645472664549,0.04989317483397375,0.06932661736414017,0.056893122167094176,0.08236615456179584,0.11152755474892934,0.054333220954997576,0.11869298514918884,0.1004990911851821,0.04875948704162413,0.09245178025321454,0.07552486954292924,0.07076601924324169,0.10170719380963512,0.06213956041015484,0.07059510438994773,0.14854529619445456,0.08360569415639595,0.052359429036884494,0.07390938380314106,0.05258618689753852,0.05372174146977018,0.04679092755361081,0.05113438944092571,0.056557951611448644,0.04755082562476367,0.07021724733552387,0.043832297681256176,0.059636306444703246,0.09604654798276481,0.052298642092759855,0.06383950672254496,0.06208779519495281,9.313225746154785e-10,0.05032748053352828,0.05604946053944288,0.04898880720817199,0.08426009084851296,0.04862292773709737,0.04787675778162573,0.16601293645933649,0.10397294573965411,0.053081005621837166,0.05520581866114151,0.047493418609440764
+390,0.2835294341055089,0.11163074436507618,0.3716500993429448,0.18295015026666447,0.31350515055553363,0.11507682440988981,0.3013049186971738,0.1859242137505825,0.15228997577551384,0.22151125967000243,0.21525488270372983,0.04929275351151274,0.2869296840669109,0.199896598081255,0.1777916328765412,0.3027860693898498,0.16059639782357807,0.19965995232998335,0.2084672345237797,0.19145355765650093,0.24601572741445013,0.23764390233269156,0.20135049807133887,0.18737489307040614,0.32284829411268207,0.3454344711041083,0.25214183049013966,0.26435833241099,0.07484836694047513,0.06833054598184132,0.0706309425891596,0.227373478199043,0.09659786415549174,0.19063162193858033,0.12048150728127653,0.040222539754895724,0.04017043454044945,0.18637935423795302,0.27395432463236347,0.10290230701658044,0.19215375133296667,0.22566899398382526,0.12320191273861494,0.2599848616514307,0.2360895552301601,0.0413849189470395,0.053379285301425015,0.08750384073326362,0.049823011899840536,0.19285435841546517,0.22180759922874,0.3090501255787675,0.26232387365757387,0.2434908942824629,0.05011823695042621,0.25740779422357946,0.10827378690727578,0.06103116435717443,0.20314149363300915,0.12317365486046751,0.10918083999881545,0.15078642502253842,0.20529827499930825,0.15954786830546386,0.06214374556695407,0.10831826771969406,0.2775586593100992,0.1413879703500831,0.12387369429772171,0.23218927237799278,0.15626056170568958,0.1427707552677809,0.047740155622834984,0.15425609442203755,0.22754763537961648,0.14276465981045683,0.05119250878222888,0.16890800342101686,0.09217302450106546,0.1645610147335187,0.2357592859050212,0.19227032445089193,0.12733386224900126,0.15144963377155943,0.1502332725722436,0.1544278495117105,0.044129296053074564,0.06632481200553272,0.29284337972038493,0.04030173078985891,0.07106248200800441,0.23205977637609485,0.2036378316013258,0.15241083674484812,0.1732795833670907,0.12865134732369735,0.10970917780912742,0.11536908633854626,0.11908813630680228,0.1568404775345888,0.07236543359345023,0.1577672455607476,0.16955745973257064,0.0648202504367721,0.096397460919479,0.09919904516083168,0.11112485533745815,0.09294871315740114,0.12677454364648474,0.12185461339414409,0.16245197836203934,0.12726572359953323,0.08605761386008101,0.09420448189384041,0.1017509113137138,0.20974654772400123,0.13168975435123717,0.10009343205427228,0.1689626166187345,0.09659858737112549,0.14951867648360284,0.20234579772138478,0.23667610272405115,0.230192642596491,0.19113969228174085,0.25777621498253567,0.10558905072747632,0.1446782534569643,0.0896776483494936,0.10199422724192748,0.11870973718291933,0.06644395291918821,0.22961003340956285,0.13495617076608937,0.1356523403079937,0.12067500840116537,0.2704612244264412,0.15253617508980594,0.05135349023606154,0.11723662134874666,0.10693014099967085,0.034970848753553586,0.1937136372269488,0.041963688675283745,0.06368392194422368,0.13650992461328326,0.05588375520931396,0.03133068373146933,0.0399951008821792,0.05699600773655909,0.11301804818447253,0.08349400861801992,0.12411841586181695,0.2793221174784424,0.12968835470261258,0.21319674653417267,0.13613548017874474,0.17871486416540455,0.05129404596447747,0.1627576360751301,0.08235411427017404,0.040697146269430294,0.059554622102192825,0.0568794634973392,0.16088007230675289,0.161679986620613,0.1944676578756788,0.13095521303242036,0.08807413216815227,0.031595549154916164,0.08882504181112974,0.06679076684131549,0.09351083780275145,0.12503737290381334,0.09402419655728635,0.03253363263855518,0.09258895194918651,0.10137397373978892,0.16973079356994142,0.039404422558576804,0.12801790202459834,0.07758816800907586,0.06030048409155187,0.12270402324678675,0.14030390652967964,0.05620585382479692,0.21878843921703583,0.06864113177323387,0.21256133238397798,0.14361338942694124,0.17640318506795138,0.07493959687172295,0.1200735362895166,0.1316171377584344,0.04854273877964557,0.09097911058984191,0.043294185249222183,0.0419886433873529,0.028533471307933083,0.09878066648615096,0.060647442355700416,0.03373463345380871,0.060262362354493705,0.06530425306508696,0.08198915507498604,0.11433922976086362,0.04468289278617399,0.1164726326025738,0.09927537947420934,0.022337171666778826,0.08858146264855069,0.07244749801557655,0.05860675065145307,0.100409645521484,0.05764941916047966,0.0636284458592415,0.15942508463434038,0.0770113131604696,0.02901061125442082,0.06673755535824642,0.029257857916252624,0.03601791828095993,0.029337041741867177,0.027204412563740746,0.03678932708437602,0.02468389892437841,0.05667385560619879,0.03069039150921965,0.0338982715342926,0.08647376715521916,0.036973324229611665,0.043412337410294155,0.04800753671175584,0.05032748053352828,3.2927225399135965e-10,0.031997133921485156,0.022254011719555832,0.07241530509959176,0.022672966551855547,0.0205579962001368,0.17001027910255895,0.09256158235308143,0.032752464174515696,0.03304143059714418,0.025409835154310653
+55,0.2861968984981708,0.11364969257977006,0.3716003750778719,0.18328155589010586,0.3125870874262404,0.11747822880451993,0.3028482365470613,0.18727684503900432,0.15249034275790113,0.2220012683243877,0.20749648632302622,0.05026706405118777,0.2879527037470956,0.20096526244591034,0.18042405076791482,0.30385922372649904,0.1624477848233155,0.2013054835813086,0.21093642609871385,0.19034550142202933,0.2453674653419492,0.23871735051021484,0.20067630344800555,0.19096404586681617,0.3231231493078019,0.342809358794465,0.2519168057989145,0.2652852156793554,0.07919859585116923,0.0740521931671753,0.07805124978869142,0.22998857045925492,0.09986758508071171,0.1913989291023024,0.1238206020528437,0.048277012028361085,0.04798347916708005,0.18838995553095783,0.26990801002914894,0.1072694053073633,0.19466780714055695,0.22674022947029257,0.1250258694640892,0.2598329015312601,0.23781603591104714,0.04906341164305321,0.06204870023043658,0.09441147872158766,0.05553879254075485,0.19492983794422175,0.22267465617380425,0.3098599986255061,0.2636244904311355,0.2450035339946773,0.05244473019585524,0.2606234833080325,0.1115237020847852,0.06774925013547456,0.20490844884840842,0.1265300433901204,0.11437167222656953,0.15317619363453192,0.20571033662850277,0.16472854971244957,0.07027320489294633,0.11264081350514378,0.2789797026624267,0.13694151634805543,0.12499686683249428,0.23289587341787782,0.1584429828309448,0.1438293532549954,0.05589124621833172,0.15894584073603588,0.22941042455583663,0.14335366879686157,0.05947161590839916,0.17055283246619715,0.0932447003183344,0.16666111387857194,0.23671194149228272,0.19362310681389744,0.1299868241438375,0.153683330195091,0.1525245674741011,0.1571105235367632,0.049236106190988456,0.06695776575395872,0.2918239054745844,0.04558478647330232,0.07578901756318325,0.23437290480783396,0.20089081856909355,0.1535678541214311,0.1738845574886418,0.13112058406586408,0.11268578145247422,0.11806128227705043,0.12220294982819664,0.1607573882370057,0.07774701678609516,0.16067602021086105,0.1716075531413061,0.06997119007831384,0.10105640715425128,0.09941085367592425,0.1160779854980628,0.09694786972849945,0.13052155346178884,0.12207142352107642,0.16579612337408767,0.1297292628753843,0.08987945236118165,0.09473067882970194,0.10591494227651427,0.2104448414783531,0.1340242239534765,0.1031584839901958,0.17226392273466978,0.09727044080691687,0.15228475520215082,0.20530317338496237,0.23916526480844288,0.23334500365833352,0.19332545392509679,0.2607628188291703,0.109538226796021,0.14861903495440573,0.09389866628923606,0.10548257141724368,0.12260615284881568,0.07133609071447518,0.23124487385119566,0.13705555621791912,0.13562378950199058,0.12583037652805423,0.27349359020841596,0.15609365792716495,0.055742197727166425,0.11811645992448806,0.10927126042370323,0.0433782906639787,0.19830550168172578,0.049084128971557145,0.0711235486601124,0.13990767087848438,0.0620887627800807,0.04292209412000037,0.03808047702375526,0.05753805834294957,0.11441331582354662,0.08790672137574498,0.1253122694253657,0.28080499668878883,0.12925947061119497,0.21327919536803805,0.14103897310790875,0.17970045927232547,0.05614486952447027,0.16519320350040184,0.08506698689595013,0.04318807755820792,0.061495059704760935,0.0594321637646303,0.16246331386632154,0.1629420478083092,0.19561294079386454,0.1333162761381532,0.09182506826001377,0.043370092966872144,0.09666207000870881,0.07457430648137456,0.09548009093753046,0.13059456790946128,0.10009766278329496,0.047191588545876836,0.0976547811011837,0.10313710069683035,0.17233085895603517,0.04827854523486039,0.13338797541819045,0.08232893802281306,0.06838725205802874,0.12688663472178924,0.14290809735429308,0.06175156352338334,0.22206341752206707,0.07422066281147961,0.21524480847891456,0.14264311128483845,0.17840421696781542,0.07816827008821618,0.12306075458517209,0.13735886454764834,0.053151025547104234,0.09729820126757936,0.05166595677842683,0.04417308458426964,0.039186564104183905,0.09794564689187824,0.06623258325600823,0.04429687300790588,0.06830677860373373,0.06406964201085683,0.08398245375035025,0.1180265112756627,0.051408502107948555,0.11787039248693473,0.10369133155602794,0.035817767433202745,0.09170102160614015,0.07832302748655524,0.06305946550228574,0.10234685860108243,0.06368856378483748,0.066978427628069,0.16019964352555774,0.08164132665189017,0.04206178119466924,0.07066167412387353,0.039794819954209304,0.045748391371070486,0.034507091093591714,0.03971095555909776,0.046200243316960404,0.03731504625373668,0.06553428673347826,0.043126794546441104,0.039175817996468056,0.09266309042529317,0.044059944035034916,0.05479125295519273,0.05613909852972505,0.05604946053944289,0.031997133921485156,0.0,0.0366089911634378,0.07794568387274428,0.037033980450794875,0.033309878957732665,0.1642125759689701,0.09605147121254314,0.03754376799776707,0.04103450259944717,0.03555047391439249
+382,0.2846783512398686,0.11180725264425365,0.3734021081034399,0.1828533514447385,0.3151659417194523,0.11488253097119425,0.3041791423897578,0.18726890349331213,0.15416079702676824,0.22146807245321815,0.21850463950418814,0.04794815938980908,0.2878891489595001,0.20037014841684503,0.1774325913656645,0.30429487663181437,0.16363111488131601,0.20020965191850743,0.20882328418919557,0.1927930346020114,0.246709115439621,0.2389140081633922,0.2029605621617355,0.19025010885586377,0.3250975709515521,0.3468784248940823,0.255286925919246,0.26863931198340907,0.07206648512765436,0.06919219348481506,0.07179559707691388,0.22845865184481215,0.09636235043944243,0.19108021839382397,0.1200420193943359,0.03515803373470913,0.03556221559302652,0.18647223485524536,0.2753583312730298,0.10254843039398485,0.19507935950553518,0.22671121063143812,0.12204280593386026,0.26168786400304594,0.23828649838684454,0.0393722266123873,0.05127766552287688,0.09007139936261581,0.04835785086525771,0.19469158959053504,0.22267260534236427,0.30958253705584465,0.2629887219056057,0.24480652725705038,0.046930689607575855,0.2605627051216097,0.11061868235377549,0.057866535167402436,0.20319294393991338,0.12279011833509186,0.11339686267368837,0.1518125006442767,0.20894520883193346,0.16299491907837024,0.061389470102998535,0.10857301317970357,0.278231382910463,0.14113101779589723,0.12248238693728751,0.23250095869077853,0.15562103370829075,0.1422791681927556,0.04308124877936923,0.15601615121168516,0.22977176757966672,0.14473843269475137,0.04742755276330843,0.1685642367680904,0.0908019038866315,0.1665618938908334,0.2383635072559654,0.19315438594167528,0.12738046568071393,0.1534771457249998,0.15081025195935369,0.1558586090972808,0.045331610861726025,0.06531471128565709,0.2964224648339208,0.03449154895469322,0.07566517956828418,0.2328824843474278,0.20550709474155002,0.15262317645965912,0.17498240571825305,0.13047545309074957,0.10931395391534428,0.11455239875893737,0.12237050010445003,0.1610916756797979,0.07074814590019264,0.15766194878225961,0.16980722420767913,0.06294263571372845,0.09693643179132416,0.10574922795782936,0.11204674229417598,0.09114147596018994,0.12825424039395053,0.12430527172760968,0.16316553133921743,0.12919231846746815,0.08761449175516471,0.09252252944075433,0.10043470701665416,0.2117419816637312,0.13202002473682983,0.09986580311103159,0.17033841794980803,0.0962325714589893,0.1544685350288776,0.20238577964224774,0.23830290088057124,0.23097316925873848,0.19126884050187795,0.2586183315191224,0.10355395334620796,0.1454565888988937,0.08929219996644266,0.10520903608839358,0.11859513159350721,0.06462218665902705,0.23193642594172575,0.13521319650021513,0.13540522905656785,0.12062612699025617,0.27144185465118714,0.15271459139345092,0.049405518012643576,0.11931879105550938,0.10903181931079699,0.030488467502371136,0.19566736241701024,0.04358552367319251,0.06372361557931848,0.1377952197880415,0.052984479564729174,0.029320952132846734,0.03731891659142978,0.055707308941179534,0.11352318148219384,0.08115515392420977,0.1235573691490212,0.2813959100368547,0.1325622540847925,0.21587489233466223,0.138451811159194,0.18086594259757804,0.048368936395829745,0.16642658313490158,0.08140914864213673,0.038218798787007166,0.05564494690686527,0.05364874921028651,0.15999787373218127,0.16076955925824887,0.194062054792329,0.12903406653303126,0.08574446630225899,0.02621228476955915,0.09199015158411254,0.0669089319492539,0.09233206527459978,0.12894143850469117,0.09501895428794732,0.030480190452837546,0.09186515167904284,0.10388508603194745,0.16927061497357787,0.0369320334322053,0.13421984570136603,0.07739908872259028,0.06170014343987116,0.12556446932927043,0.1462258338045201,0.053852735915193586,0.222861164105964,0.06677104524138139,0.2133583424283898,0.1456181464316826,0.1763514701957995,0.07394812082486137,0.12012666019412262,0.13575429315960047,0.04952249444202471,0.09092428860477249,0.03896141070582858,0.04135039307509182,0.02436902777914546,0.1039640149551986,0.06600268146485581,0.027709186943112696,0.061272566445664936,0.06417942467638577,0.08355444518633279,0.11461997575671884,0.04304765954232798,0.11763549128711537,0.10434469293687965,0.006665629389711254,0.08674695127864468,0.0700086882966794,0.05670388962806895,0.09980050130550155,0.05267782458308396,0.06344892001884847,0.16058986690713603,0.07412977649892023,0.021615163932360137,0.06783487605389864,0.025100867519228402,0.028778276382301873,0.02357069782663355,0.01918560137181819,0.03447338036481955,0.015377888544247488,0.055885852664084294,0.024271976232558955,0.03805727613594907,0.08598082633649674,0.031329108646340136,0.04269669373586697,0.05267840801002425,0.04898880720817199,0.022254011719555832,0.0366089911634378,0.0,0.0693069423894262,0.009603620435401469,0.01024068687202699,0.17451535485085992,0.09828537152909363,0.027244674750819087,0.027187862383907937,0.015012472322631604
+190,0.29227337941661624,0.13101652062557378,0.3793852891830868,0.18895087609361594,0.32012447025889484,0.11945567025607748,0.2948466367942571,0.1990494728791651,0.16685217791958287,0.23120641275709622,0.2284687404060158,0.0837832040986091,0.29464271249075913,0.2113514979270904,0.19007159601862694,0.31073295841761345,0.17558992128518922,0.2113587492063917,0.21954587408567622,0.20139300519043177,0.2537378715888413,0.24797773382003122,0.21350665678762265,0.2017721934396224,0.3305822641166844,0.3519505801820227,0.2598364493283689,0.27634130974675436,0.09954641302023592,0.09711967665504834,0.09924455564671524,0.23407736544434765,0.1180655497260972,0.1975805770003096,0.1384452184098765,0.07724754081948088,0.07728335709207873,0.19546282071550902,0.26575194735556246,0.12096530102502509,0.20503094607062838,0.23646327062046196,0.13969053866875075,0.27038923140068927,0.24828553309812956,0.0791677564752004,0.08599829697193788,0.11332509744747433,0.08420555607684664,0.20358768737902844,0.23362295877619427,0.31687226270717317,0.2717225096491183,0.25418148930744905,0.08311428503579604,0.25041578087227273,0.12990518821140387,0.0901429616494196,0.21411339838644192,0.1004163434055479,0.1324410126772896,0.16629432448002224,0.21837270978209503,0.1763875931561182,0.09219155638918805,0.1281600102900479,0.2842406664854355,0.1569454339278308,0.14050669484278155,0.2407609770963818,0.1384721182160229,0.15800180679246437,0.06650791464796252,0.17013763150998948,0.2388618974131674,0.1599403487603422,0.08385668666063179,0.18009222019190865,0.11385052428281776,0.18020181979982772,0.24015731270618734,0.20498349964754092,0.144708713549351,0.1678734947038394,0.1656843781129081,0.1703177764163101,0.08358847124834069,0.09478129190020698,0.30257378642022953,0.07751695993097978,0.10207687646726142,0.24243338850478616,0.21616141782503823,0.16702398669574933,0.18263251164560398,0.14508606963478865,0.12879533129718093,0.13323174117334527,0.14000831843459624,0.17517280588863224,0.09846950855185128,0.1667880161201018,0.1827884066647791,0.08361898993839946,0.11665350974225208,0.1256641675933336,0.13147996798832864,0.10581095755530848,0.13912866601506507,0.13963437955237396,0.17649889031016727,0.14142443897770834,0.102536596343663,0.11520176081839918,0.12112100475370306,0.22244178444604815,0.14893301736234932,0.12220695424230608,0.17817494846064957,0.1190440322592873,0.16946377423297035,0.21319663455766485,0.24733644797461599,0.24030776543237242,0.20122305747740546,0.2485815542520907,0.12490394914427072,0.16094509956747519,0.11289347321971456,0.12586993086968784,0.1370089005220392,0.09431852637238215,0.24155712256264436,0.1513207476364466,0.1510788174040293,0.09874263501772769,0.27940694994160614,0.16695701366815663,0.08485341033005762,0.08709535545840072,0.1283409577648637,0.07542448472796467,0.20557826274407523,0.08154826802460118,0.08335993851899512,0.15373456326271276,0.08703746597083657,0.07466048507021238,0.07470840271244872,0.08841339309640688,0.12956718770684159,0.1062769083173706,0.13236140754187042,0.28824628347730014,0.147011222002269,0.21970569010165994,0.15450933843792758,0.19270184332627202,0.0720066495284924,0.1798887367901375,0.10625240984278102,0.07526532976176131,0.0886729947010123,0.08728893445918069,0.17390530682882618,0.17468777768265928,0.2056102085059468,0.14735428278160995,0.10992310215082023,0.07373087977806908,0.11251405928499252,0.09575983789941546,0.11499092879337422,0.14135959260165987,0.11663808402371317,0.07541149677265124,0.1144117843271719,0.12392532960366312,0.15457969092583285,0.06517049487825867,0.14981780104946849,0.10336220205373667,0.0923398160006622,0.1424891915902746,0.16070804387965865,0.08712177654763976,0.22815670486851267,0.09605800194146134,0.22400772502327101,0.15878478657311465,0.1883812900297467,0.09837422123382143,0.13826779021144203,0.1513735123123812,0.0849044266720029,0.1142312639645136,0.07925539100055862,0.06780025143285885,0.07344688316938267,0.12430018329130071,0.09542958964038806,0.07417719434910296,0.0917509722840156,0.09100400325411882,0.10001536299132399,0.12449419662606942,0.06457899012640289,0.13601975749700332,0.1246508206215349,0.06926983258971187,0.11034997858810262,0.09827422050927472,0.08920288949742626,0.12108538639988045,0.087983832307644,0.09007979980940345,0.17429403919711953,0.05376260663773532,0.07232525617887157,0.09676117280517303,0.07336151777729152,0.06292465787670644,0.07289813237922928,0.057394781262386486,0.0772229275882315,0.07045035639063266,0.08844678209258762,0.07316720765981223,0.07890643861868105,0.10152272182404673,0.05767295123430496,0.08109940187774037,0.0867582843349979,0.08426009084851296,0.07241530509959176,0.07794568387274428,0.0693069423894262,0.0,0.06960816965914104,0.06977957961953228,0.1853117272266494,0.11944902122661433,0.07031198162764393,0.0741861197405092,0.07047671966212148
+393,0.2830657401743175,0.1118375916835042,0.37309782254337603,0.18308612788269268,0.3148154475774809,0.11488774774520412,0.3042045659395681,0.18685932800965338,0.15406453321643013,0.22168144282979452,0.2185748913778802,0.04852350221914824,0.2880350127108735,0.2004485796806394,0.1777106910864229,0.3043462521965199,0.16382509082586894,0.20036634839954773,0.20889312635204774,0.19296559416625544,0.2462011014904941,0.23898215660942934,0.20299796337835857,0.1901632855336235,0.32490985408706935,0.3468940819434223,0.25525047945674,0.2692522202307344,0.07234599159421264,0.06952391401518522,0.07130066628370779,0.2286605984204126,0.09649248215175688,0.19101893947315357,0.12000034244439314,0.03494007993151195,0.03554459468642323,0.1860524184455276,0.27510236852609776,0.10147922590760546,0.1953309308284743,0.22704544883215208,0.12224337124748123,0.26179326224360044,0.23874301171577933,0.039731116819622825,0.04957973982124031,0.09031774518876823,0.04812686107305703,0.19485589383140434,0.22373245631862818,0.3097591478560596,0.2631577773659739,0.2450097822606996,0.04750019111534646,0.2589519875406012,0.10997756596353708,0.05848106434011512,0.20312690005403125,0.12287547448760083,0.11274981594802284,0.15192464333999137,0.2088429280818949,0.16303559334782913,0.061558636506351745,0.10870063766205292,0.27836727083582596,0.14141887081368468,0.12252917623587378,0.23238136899755496,0.15567191255260843,0.1423351923795185,0.0432996709120033,0.1539036645934588,0.2298805988683529,0.14324924015164678,0.048176155474745685,0.168508158491976,0.09091576839729454,0.16639967604572925,0.23825723809812918,0.19337949583359335,0.12748351241367453,0.15365625584567508,0.15113723622058198,0.15626027387460975,0.04632166620998516,0.06573394883503524,0.29622284645424235,0.03559092741182579,0.07511217554519567,0.23300340834974612,0.20546848352360925,0.15281794974921217,0.17529164775186784,0.13018388624103228,0.10940951836832317,0.11479788434408605,0.12229802242093199,0.16094728610022527,0.07089131419694293,0.15789649427721836,0.1697634321636035,0.06336276751988737,0.09671710796511002,0.105590448305532,0.11183565172197374,0.0913636353561822,0.12690231215575615,0.12399656899860917,0.16231788309344966,0.12872776287538748,0.0871769528424652,0.09281039723289847,0.10062661386776456,0.21185214939293223,0.1324327452656726,0.10155050733442482,0.17049460762395868,0.09745869298100057,0.15532520814473794,0.20139756180134144,0.23714670688344375,0.22909187921984353,0.19080481474586883,0.2572913120859718,0.10456398110520902,0.14590234467368673,0.09001285022265038,0.10599575845852605,0.11869208584158703,0.06540094528085937,0.23205306031711193,0.1351629303733136,0.13499955670568925,0.11815368489868476,0.26930556663930283,0.1510538259421887,0.04961121026926868,0.1187813959012703,0.10889012028680965,0.029703009701951198,0.1923792678413963,0.04425216760766542,0.06351973445249223,0.13753682080778493,0.05279006551017171,0.029495592278774067,0.03772853352601025,0.056004478324708416,0.11492078638697094,0.08111639156773627,0.12366128022888927,0.2814602609282731,0.13249211963770727,0.2158133464753725,0.13872401571900375,0.1805943289342934,0.04839949246493265,0.16618498589710395,0.08129106475354823,0.03886865475317306,0.05627082412874935,0.054274059443782635,0.16016885433497427,0.16094346455699068,0.19412122549641275,0.1307123064920596,0.08627407783632109,0.02437038782924433,0.08689471446206254,0.0673631260348717,0.09253846491179891,0.1286899906544479,0.0952482214285245,0.027987929088618337,0.09193406977715804,0.10341798767853601,0.1702121839527474,0.037670438346679165,0.13426797308924784,0.07799771268116,0.062125965754189584,0.12514105533935055,0.14588491483187918,0.05420177802267545,0.22249474484934798,0.06607789503550844,0.21353171838271315,0.14563752413317138,0.1762907840431032,0.07430605895997215,0.12062628303545975,0.13555014582589672,0.050103920970484724,0.09046781800479904,0.039647441565972816,0.04146601359888589,0.02618018548755005,0.10360471387165632,0.06571344119234467,0.02808608959241601,0.06142000005403091,0.06386975344311131,0.0835268380685761,0.11414402068834961,0.04222547401384552,0.11791251375685345,0.10380851113170754,0.009285160303055748,0.08688382956742717,0.06895504264079885,0.057183221362779146,0.09985652962563749,0.055052320961966175,0.06371445585134913,0.16063276150879668,0.07441185820542179,0.022045625918289853,0.0679969645674944,0.023900002972432645,0.02981257759538684,0.025168104511779112,0.018789284088728656,0.03555549549173881,0.016356511687875604,0.05637129396009466,0.025336377325634627,0.03900328279505859,0.08535643448338193,0.031111924287289813,0.04319343110703651,0.05318817280417637,0.04862292773709737,0.022672966551855547,0.037033980450794875,0.009603620435401469,0.06960816965914103,0.0,0.01254992479685162,0.17459140671587586,0.09812818665478454,0.027431582961905523,0.02756313073376641,0.016013614715370647
+132,0.28457111379062217,0.11149522765505793,0.3731904425787488,0.18236092686405214,0.3145319977903708,0.11480897410914713,0.30347866543144625,0.18724547140205836,0.1529472945468197,0.2211679373112126,0.21642611212618768,0.04614056861443581,0.28715390342347763,0.19973591607750196,0.1773908542550441,0.30344870234822524,0.16320555906268197,0.19977472467752072,0.20828342386182674,0.19206247194461526,0.24657303988698448,0.2386656886818835,0.20218011446995857,0.18935711669240302,0.3244605049710123,0.3458579575627003,0.25427175103429994,0.26799213015651646,0.07229712337878355,0.06948477644002693,0.0722198347155948,0.22818317020970388,0.0952269300198719,0.19069217848464773,0.1188872686761977,0.035766885023918026,0.0362626680765819,0.18648152451718583,0.27387829353187093,0.10261283725178598,0.1946616883905487,0.22611469806314974,0.12209266868769938,0.26074375201010036,0.23802679475671068,0.03760148508214465,0.05192630633604285,0.09022690288739865,0.0471928083771373,0.19451984935575267,0.22183699415561606,0.30895081982856337,0.2623705724787376,0.2438431236649991,0.04630918440896912,0.2605517103802052,0.1099971136262581,0.058261937847206256,0.20316643908930038,0.12264621837112467,0.11266219840679896,0.15135329446053866,0.20811695524695104,0.1624987946412149,0.061426300469171795,0.10842728272630009,0.2781685263867853,0.14047348658615083,0.12269857817992082,0.23249881626995117,0.15564662371953658,0.1423126413915652,0.04385342666829235,0.15607134346217033,0.2292622749241041,0.1441165026490538,0.04797765098158641,0.16843032229752003,0.09063142101687889,0.1664467210427403,0.23719714385037827,0.19190052242657316,0.12651925078918205,0.1528029745563257,0.14993130439055752,0.15577243498404877,0.045327930312420724,0.06499034163966917,0.29568814009847766,0.03511552713255121,0.07458343572613028,0.23217538461611886,0.20354491177747613,0.15196179157509213,0.17431877238090188,0.13019028198019897,0.10861937701340872,0.11422855454793186,0.12143788167425056,0.16081143478559448,0.07090431137121483,0.15774825581394836,0.16906186642292473,0.06335528987467967,0.09713605153864681,0.1058057116591627,0.11205059811457375,0.09117897456024235,0.12782659913449843,0.12301105143416786,0.16292898460555477,0.12847844950651804,0.08738885981787242,0.09256977290441123,0.10060446827089263,0.21070289968244457,0.1309633415253287,0.09966962727287174,0.1699800759589717,0.09610881201598948,0.15409492883150827,0.20243716912232795,0.2383499873858977,0.23100102415383109,0.19122409232266838,0.2586338576779724,0.10380689332877253,0.1447081896135527,0.08969286294533943,0.10565458754071343,0.11823560049644964,0.06470542637384163,0.23069380811155296,0.13507119427954356,0.13531923706605675,0.12085270193695738,0.271426949185789,0.1527366138844094,0.048934646318639155,0.11792087991283363,0.10755623820910358,0.030247756781616526,0.1956412689832153,0.04399999568870903,0.06317814451002962,0.13628187499679914,0.05265966238161017,0.0287919514830308,0.0353450443439988,0.05489257752082445,0.11346126712554595,0.08119498393419054,0.12313715391065862,0.2808191776004772,0.13151599875099115,0.21475611072855652,0.13849906379718346,0.18003697919872047,0.04815461409537497,0.16502986820939955,0.08149221952496942,0.03591055959021029,0.056276877514937255,0.05402650902237292,0.15994739373674166,0.16090579307629138,0.19376796618173805,0.13001954320475445,0.08623150913761951,0.026219708365141797,0.09202163489137331,0.0672176018280198,0.09240118364347334,0.1277584911244157,0.0943686791766968,0.03152984276151699,0.09174138348991806,0.10326970329667957,0.16948165356578387,0.03570120032598207,0.13240001724056727,0.07775690250940212,0.061525392919509314,0.12320478418755662,0.1445606320546246,0.05432523165221174,0.2216655317011444,0.06698613433207518,0.21317345571404198,0.1449784976576696,0.17599888100012828,0.07277431420490593,0.1196741221909087,0.13353721695318352,0.0468206186310346,0.09087534899701337,0.03947548803934505,0.03911998249945929,0.022239921076031167,0.10299409265106846,0.06553722769828456,0.02825433481207104,0.06123707943729661,0.06333404932305661,0.08212305113598561,0.11459277962930038,0.04154668528589451,0.1170128687711271,0.10402711165128571,0.010417967009688799,0.08682201172667317,0.0703070151955452,0.05583168010612748,0.09908282989268705,0.05416082439596573,0.06306467494237993,0.16037420602836877,0.07457681568556872,0.023072786787051183,0.06756038641919312,0.02368454097446773,0.030197823393547985,0.023271004027325005,0.019955800370262455,0.032957708488155636,0.017091604456077523,0.05553515526069276,0.02495912970950105,0.03560645720386013,0.08611208902801348,0.03188742791960146,0.043223396107395534,0.04938051530047241,0.04787675778162573,0.0205579962001368,0.033309878957732665,0.01024068687202699,0.06977957961953228,0.01254992479685162,0.0,0.17204050229078047,0.09662454141712222,0.026544846904286004,0.026333162799560855,0.016274350731792123
+310,0.32535444547550685,0.18451632124932926,0.3791992767092286,0.2170550062136041,0.3030140574993478,0.17633584705369829,0.2790275911695689,0.2228779773322521,0.18815745894826202,0.24427851197077377,0.22915798411000626,0.157387798088708,0.3040582974074252,0.23347864833404217,0.2269903296271517,0.3174004477591448,0.21582699884132403,0.23380441927199788,0.25341576190832915,0.18703542721191926,0.2524982750338945,0.2586977321797242,0.22908051631661652,0.18220539704112004,0.3064519365328381,0.33751289523807537,0.22877483130585352,0.24435846719566864,0.17691827039422042,0.17680089656428613,0.16360014019803523,0.24119974303669822,0.177445880422352,0.22996269171038256,0.20575481927798805,0.16743609834104065,0.1749478557047943,0.22695820310023374,0.27657274973538887,0.1783372945882115,0.2114070594998524,0.22896044823064685,0.19007585908126007,0.28439132260881567,0.23646179411763707,0.16475714780393205,0.1794223660057441,0.1784619789885244,0.17285703535411778,0.19496209818551175,0.25757744013979933,0.326908980936487,0.29121712902327845,0.27833849229989316,0.1722935555965386,0.30230632727273693,0.18044229431797015,0.18078254793468868,0.22503427069050883,0.19060190757424647,0.18316595562084934,0.1973468496635617,0.20357907396915875,0.18965306407586058,0.16746990290810876,0.17104558380707874,0.2795852592979019,0.19004257947923545,0.19520659862289771,0.2477106220174909,0.2097449218730915,0.1998834825331657,0.17614848744896708,0.22632100108479244,0.22100179723473512,0.1563625851790742,0.18035603926706062,0.20742266224374034,0.17721025210095614,0.18620504195690443,0.20246316607089243,0.24061342235094021,0.1978893756452474,0.20412025731275552,0.20869973891208018,0.21361898610036847,0.1710148689163899,0.16901450640232416,0.2722817359495717,0.17172902602262627,0.16169364267866793,0.2698217639977594,0.2279750661683518,0.2073291081740529,0.20416810325830992,0.18313156855029217,0.18618061413446899,0.18120784982038665,0.16476040901313702,0.20422060653313442,0.17069848477151542,0.21350246901934186,0.20129416117382104,0.17018402919495318,0.1755394822390543,0.17279232257575666,0.19014812240294146,0.18583664722670246,0.20337553658792912,0.12999063537269645,0.19943701709154923,0.1733054590980752,0.17932614408545985,0.1836126509885073,0.18926004685541992,0.2523173397223549,0.19909827086960344,0.17557655789429105,0.18708729079743017,0.16148807129869966,0.19569473856028072,0.26378327590468376,0.28863097552855943,0.2841020559601798,0.2484318397995503,0.30573593857435305,0.19244581756735424,0.21491378365666594,0.16582632812489373,0.17692111089692364,0.1884426030118125,0.1723630602483853,0.2649595284827868,0.18358705117872476,0.19008556947251903,0.20736970108174113,0.3170896817181646,0.2146883497768721,0.1701821575128207,0.1832851852692652,0.16760701442212064,0.17304506029049166,0.25262142827696527,0.1708223294296726,0.1675478408273656,0.20863271004728823,0.1765540375112114,0.16830730657388496,0.16539414394386345,0.16488878732525397,0.17684568282661928,0.18061862374003376,0.19054994156310875,0.28785433214030615,0.160220079679054,0.18617831784122532,0.16863942698715964,0.16069769088769506,0.16709031393027354,0.2155388075886937,0.17556923360542587,0.16353434191931526,0.16888524986954956,0.16346682863751888,0.22462996049926223,0.22390362986509524,0.24494787977815335,0.2022252825680958,0.18257724630860692,0.1740609973451498,0.19013414453164262,0.1705681272303111,0.17364643539791852,0.17081494853614337,0.17837598968410748,0.17662261302690996,0.17841672865181285,0.17781194292390415,0.2212067642947656,0.1627378809632632,0.16785873720645889,0.1641969978620106,0.1558454442704649,0.17053390468733276,0.18081756956803136,0.16884860038614224,0.22041030811877413,0.17660303125056345,0.23817272753299654,0.1890596109007233,0.2277916824855632,0.17923126671953962,0.17894057534531013,0.17348029671518642,0.17374228142155193,0.19339059630240296,0.17446696784424723,0.15636661920697023,0.17345330803673356,0.15859729994702956,0.1765237591616364,0.1706753481586682,0.15235711560443066,0.16233072067326862,0.14999022090491987,0.1760404420904083,0.17253000340120733,0.17463478705307187,0.1612501158603412,0.17399519051284412,0.18081728491379956,0.18658798831519838,0.17469434088266877,0.1828687545215578,0.17990224682967335,0.13884878987297525,0.19524007033850194,0.1865346224159004,0.17555167348356313,0.17826572948029293,0.17177911046591937,0.17474093572664728,0.16600318108790085,0.17410133125386557,0.1744427448461331,0.17318411987510995,0.16997464272956597,0.1761152045665023,0.1704985763480063,0.19130090010337533,0.17310779475563276,0.1739063145296099,0.16830320925472614,0.16601293645933649,0.17001027910255895,0.1642125759689701,0.17451535485085992,0.18531172722664938,0.17459140671587586,0.17204050229078047,0.0,0.19035042851794187,0.16982784751257554,0.17314246250611137,0.1735983725906185
+409,0.29717118793060027,0.138980158032198,0.37967244392168514,0.18991629966547555,0.31950169919781096,0.13666669540460785,0.3031511102852891,0.199416580384922,0.17112482602398799,0.23318270954152548,0.23289845892733277,0.10364827741539513,0.25877594680573895,0.21181992901203875,0.19652288718382932,0.27071880749564536,0.17938624624539423,0.2180689175988375,0.18582975799780024,0.20096434128567534,0.24764333016701537,0.2493202559281005,0.2141034228822215,0.2043036292945018,0.3244782984342293,0.3525575813217445,0.25428773742940924,0.27245774807217166,0.11708426662631663,0.11420514119722694,0.11780651157577475,0.23971225703332447,0.11558340297273442,0.20384136571517555,0.14359997302631974,0.10149408013359176,0.09730557332680241,0.1982093401754868,0.2799179326353304,0.12867057197770054,0.18104507156259614,0.23513970699836378,0.15096227466584877,0.2720166824657541,0.24559855450733717,0.09423420636579483,0.10385106849243754,0.1306958915792528,0.10305021292115277,0.21333085569414154,0.20756485092442298,0.31883728569849284,0.27578055989785816,0.2574742565966456,0.1023385292630259,0.2686860093528009,0.13719503085279314,0.11039314354247069,0.22119385825066132,0.14880054092115097,0.1367018738623091,0.1703450838687023,0.2052493506796843,0.1743916357601061,0.10994515042432584,0.13081803469111525,0.28603551942852434,0.16905699738918786,0.15405288822639351,0.24077726287232065,0.17985446831094862,0.16561603273934505,0.10702382796787244,0.17900982915701075,0.2401938512787535,0.15865437629221282,0.10481393435099322,0.1854462045198387,0.13152227101236869,0.18513521589079013,0.22741484735274392,0.21136926954942165,0.15454837992662393,0.16636695011002514,0.17528611743214276,0.17580070711058693,0.09830191817109148,0.11556498250032873,0.2967595803797139,0.09859751809661525,0.10785539006497265,0.20610712087168553,0.21305347060458818,0.17534246487787317,0.16602579673963352,0.13374542731075975,0.13317444459206887,0.14274274130009462,0.14253377918490517,0.17135581854626047,0.11162947436921165,0.1753014011389511,0.1849596592272736,0.11271309719903556,0.1266799014148745,0.11920786349525997,0.14113512586500263,0.1284688777424628,0.14758690982427194,0.14922874477746648,0.17605895469701044,0.13445429747022666,0.11742596280062563,0.131485716109807,0.13414480293060074,0.22340968282106266,0.16039663973665727,0.1263205597089649,0.18661934114480902,0.1299002200999937,0.16447849639252,0.2221679330110274,0.25185016533965016,0.24869025387011065,0.20552394660290274,0.27429267791038864,0.11962623515977522,0.12592732728694195,0.12624314450180266,0.1300626098471782,0.14797090997068166,0.09531832978124613,0.1854893320223676,0.14275556060897382,0.14683235490842927,0.15409394281061203,0.2863462693166391,0.1728691937726174,0.10319417798486577,0.14640882649951217,0.13451623612311023,0.0952957318926433,0.21320692011824727,0.09511678696187308,0.10476118644147317,0.10067971257391019,0.08365184911833612,0.09655325113250235,0.10288898931832637,0.10478369252213851,0.14225540381213453,0.12413842479506954,0.15266056755957216,0.2568802913375044,0.13750775921710848,0.2152342875075792,0.16626207091442965,0.19346790017026433,0.10344941080738537,0.1253330732114216,0.11770849336892161,0.09932392909707533,0.11165338622467938,0.10947334112782117,0.18655716515280127,0.18635252776021963,0.21520497052027082,0.15773936155742957,0.12816445629763581,0.08942355989883691,0.1262224206053791,0.11507746588329307,0.12965681429375925,0.13395442709182398,0.11250365315569437,0.10205027010321828,0.12690716456810863,0.12118966855796538,0.18631707712127202,0.09966017139792473,0.1531783044512104,0.11906633871171585,0.11356456134828,0.14902104486306916,0.1534347452445122,0.10470020219442006,0.2308196868106398,0.1093506579685794,0.23061958213507636,0.15782473773444813,0.18957797894391296,0.09930389793286924,0.14876660499098474,0.15561651066903762,0.10252587113564392,0.12934830198345246,0.1048330132421394,0.10065183578527614,0.08785545437776568,0.1225858215921224,0.10645879508355634,0.10079792529594193,0.1052836904892962,0.11037494579747639,0.12033554037097549,0.1399703339943662,0.09680166738311624,0.14351827038077802,0.12390489742049764,0.09785736733678937,0.1249985586629767,0.11953111454019093,0.10884036212024503,0.13749787276857123,0.09495580289945216,0.10838281137537345,0.17035659889435756,0.12248115723731309,0.0956939511037473,0.09765850307211982,0.09735707615130866,0.1007768899637201,0.0918343771580168,0.099748609792758,0.10251187081726627,0.0967519209807093,0.09989396501783739,0.09935268579488822,0.09634271233387935,0.12604658881640585,0.10005218146517099,0.10485437910136165,0.0991051404009356,0.10397294573965411,0.09256158235308143,0.09605147121254314,0.09828537152909363,0.11944902122661433,0.09812818665478454,0.0966245414171222,0.19035042851794187,0.0,0.09856213954850539,0.09543782525673326,0.09759128099336735
+422,0.2832486060955701,0.11174407366297084,0.3715305029483649,0.18000644737407806,0.31295949920440225,0.11182226468645363,0.3008474805726778,0.18611519290504247,0.1519412698240649,0.2220355381532499,0.21457958366331822,0.05227022940595321,0.2867400382427398,0.20016415332130252,0.1788190967264278,0.30349161740956415,0.16428557412462774,0.2000729452522507,0.20977801489213005,0.19028413407234462,0.24525368794557698,0.23935522636192383,0.20095367328789537,0.1896332994015911,0.32397277788685697,0.3446558347528825,0.25285995149577073,0.26365198186264904,0.07366941791375134,0.07364048915116035,0.07426844338174529,0.22918844593550303,0.09881178059319075,0.19076014557746002,0.12038868578926964,0.037048255644598085,0.0402405143962216,0.1857167086542272,0.270993798036254,0.0979492249858295,0.19413646943868212,0.22537551993654578,0.12362282257637625,0.2611388579536951,0.23750083877602118,0.04324158561479147,0.05624691005609445,0.0892636555897988,0.043982282247319225,0.19090918217303787,0.22149171959198963,0.3102322028769407,0.263883725445234,0.2459341320886375,0.05199504533715761,0.25895495151816844,0.11115963683858217,0.05787691410542379,0.20312032277088074,0.12258288531108959,0.11322296151218755,0.15318788743713177,0.20471958753182018,0.16010213740194737,0.06418321759026654,0.10809846141336021,0.27731105167516135,0.13803677121273153,0.12262946922156609,0.232224340857197,0.15471126938762228,0.14194634882703377,0.044679510384286754,0.1555373570730198,0.22789154243902637,0.14258856878875642,0.054230155945772136,0.16890027414375758,0.08911467092785588,0.16483152552592129,0.23541038094265623,0.1941244670031688,0.12098853644394807,0.15119275677277202,0.15246186720100746,0.15621830486979169,0.04206718592722521,0.06388007165753208,0.292864808906715,0.035106884616958406,0.07380806030084261,0.23283845769313707,0.2033867477150157,0.15240980857704398,0.17259595105554026,0.12964042796325484,0.11069555365510053,0.1166219847960998,0.11994480262676484,0.16077268549219847,0.07464356246531417,0.15741898572304278,0.17067947073278011,0.06357538283135115,0.09758944409843469,0.10498606951894816,0.11125008460602691,0.0941485159955138,0.1295069949623977,0.12111362342710373,0.16121221250719614,0.12798892401927184,0.0900550941633467,0.09304090805138322,0.10318465976053205,0.21065784867190396,0.13229097067057527,0.10158582551238396,0.16962311858467563,0.09252212484865416,0.1546870063855546,0.20301033100199806,0.23739084565234714,0.2307913302288653,0.19051166223420904,0.2575882171643156,0.10624046742489682,0.14669818120852274,0.0909409511197333,0.10748613226221758,0.11969153691708584,0.06830929289026008,0.23176535887940147,0.1343417933447777,0.13494567761778176,0.1191311712661055,0.27072807323101633,0.15127491982678057,0.0432281050970338,0.11632436706788349,0.10780036177571363,0.037882932471684505,0.19401321633144356,0.04706886051414366,0.06661609879037189,0.13740355268472157,0.05749403217799486,0.03409496041472303,0.024786719713135612,0.0564087552007092,0.11125972567354608,0.08207706538622099,0.12361738047205743,0.28050116998263636,0.12870618144744425,0.21014630276052576,0.13823128570973076,0.17927546284023954,0.05017891627413707,0.16548252887432607,0.08284955535740054,0.03846125147035543,0.056591917679861034,0.05447254653094556,0.16128124965893498,0.16183729902126107,0.19495863172097538,0.13119668058666042,0.08861020505066766,0.03401159145519994,0.0893022904698283,0.07109557314601636,0.09260894823592174,0.12813966687285983,0.09777027530483251,0.03915768229122958,0.0942003326490517,0.10099172429354535,0.16826733563205337,0.043187991772712465,0.1346185662570895,0.07920644479501501,0.06547344841287739,0.12666523889565515,0.14343462406540183,0.057819445683679915,0.22209770211514027,0.06922248983215269,0.2130163918469364,0.14372943004466518,0.17714263351289763,0.07369264715246378,0.12149929950766723,0.1370990515064849,0.054747367239333336,0.08917615297247106,0.04195815683395678,0.044638130672416544,0.03325046102908501,0.10086451680150217,0.0616361799964135,0.03644631654755182,0.06293153672834732,0.06171374563410592,0.08102164879147343,0.11309550694099911,0.04357319280727606,0.11692140546050221,0.10318432081560663,0.025112080405256813,0.08957718176313331,0.07377737308148614,0.062136028269491723,0.10085456878839576,0.0574618740178616,0.05978237620345673,0.16107139410216406,0.07813442212807803,0.03423085922626035,0.06521630916031788,0.019642549109312412,0.031379102721975596,0.03161037225034072,0.030071247144275184,0.042376707933696,0.029444235214283365,0.06151273697079629,0.03553180272827649,0.037876361821085745,0.08726297464050818,0.03509885255914334,0.04253403176379746,0.05159823864633574,0.053081005621837166,0.032752464174515696,0.03754376799776707,0.027244674750819087,0.07031198162764393,0.027431582961905523,0.026544846904286004,0.16982784751257554,0.09856213954850539,0.0,0.03170650640430435,0.02952505244039197
+423,0.2839172854404617,0.11337229034046366,0.3722695094427545,0.18312759197690237,0.3142622084147281,0.11672437294638176,0.3019084290090075,0.18777301712822708,0.15321739602857828,0.22075397425752696,0.21659477351583126,0.04896702695256043,0.2857327638643219,0.20096422670898698,0.1777810703774891,0.30306615773712636,0.1654105268290559,0.20130175533749012,0.21000667127595532,0.19314627978420676,0.24716753442246883,0.23986297961934902,0.20065166133866594,0.19096108262009476,0.3244877777877774,0.3457678361869859,0.25339368232957526,0.267519044309277,0.07505513107639783,0.07390249228081394,0.07549084085837111,0.2287603846172886,0.09772940394362757,0.19146802719630324,0.11711444520417984,0.04150746620611529,0.043274716394554366,0.18761462891261674,0.27374466446426676,0.09863906026029502,0.19300181833625135,0.22738334348234793,0.12406549492021522,0.2608270731826477,0.23608189601221286,0.043874833791834565,0.05103691194513118,0.09270266452830013,0.04503091876635514,0.19461232331560427,0.2197852674129784,0.30949069999060064,0.26243847659903696,0.2448678247255555,0.05272628874066779,0.26030972785734446,0.11283006932261333,0.06351423746377041,0.20457884601093812,0.12391211411349973,0.11453520621460393,0.15309072321553216,0.20523983936693344,0.1590115184215851,0.06562903116103533,0.10939867440712671,0.2790439693260552,0.14133660002466575,0.12526408310481862,0.2335371893647953,0.15718917764936374,0.14384544287242826,0.05057468006150185,0.1544481515497708,0.23005362225288697,0.1440687378105418,0.05028051184879713,0.16740997203780716,0.09243020431846283,0.16627042647279583,0.23648223417703848,0.19285524750085917,0.12491654063123946,0.15412923215686145,0.15157442779651345,0.15693187081208793,0.043551631755407584,0.06764681412290417,0.2946201867951728,0.041369854680303304,0.07541501458527658,0.2306045887497475,0.2046652656640376,0.15393361074712308,0.17590492283691656,0.13087007387145494,0.1114230798277235,0.11665713360121677,0.12014251467561565,0.1585961285363052,0.07246379918885909,0.15820580022615988,0.17023693841161644,0.06808901613296017,0.09865220835143541,0.10649090392230731,0.11229777518955623,0.09465525883027882,0.12943287957899846,0.12442947246936624,0.16288846432093612,0.13120390998480982,0.08837708849863471,0.09457521568664805,0.10342022056897913,0.21111551729882377,0.1313841190368535,0.09992237642392307,0.1711199035708247,0.09576590668350579,0.15537379096970355,0.2029097249365905,0.2386841390254452,0.23099379238624607,0.19173921809876865,0.25913656385397166,0.10361429945027005,0.14408734498688316,0.0906389369906405,0.10423926859320946,0.11934795525943967,0.06631315157185876,0.22966654507511675,0.13428642054320072,0.1371735249018769,0.12124708506578852,0.271166562588779,0.15123238894529534,0.047576090705556004,0.1187341865662213,0.11016367767359678,0.03298488549876401,0.19430902286804677,0.0424437355335814,0.06465025186663674,0.13374560319223597,0.05047408722137561,0.0305132623963466,0.03658174873389303,0.05847202008791455,0.1162319043527562,0.08394722611824143,0.12377838431716383,0.28051214278232217,0.13064616994846023,0.21532994610865175,0.13974456748287428,0.17974980313808708,0.05277279163238876,0.16412993944600834,0.08450487352517981,0.03978084959885073,0.061465576450208836,0.059752233339137976,0.1617100379611494,0.16175271759275273,0.19556379071019359,0.1283330318571582,0.08721808148049759,0.03496783523411422,0.09091019930098553,0.071748867220079,0.09446284912610697,0.12736570759077961,0.09409311422649798,0.039332989957579216,0.09145356404232462,0.10203485982309099,0.1702128759708761,0.035494700326745725,0.13607578061023531,0.0786617055015499,0.06654289216632413,0.12632575721891326,0.14257191360345992,0.059608009744444836,0.22379680632346455,0.06942701968878999,0.214486804754874,0.14571391632329467,0.17748241093391554,0.07573110910248963,0.12260197347190396,0.13641735671753363,0.053059369895895096,0.09113960163390793,0.04507143313765237,0.04402014290858892,0.033693052482086976,0.10421689298607156,0.06941473191191164,0.037284872791631986,0.06413266725568952,0.06608104475313037,0.08612220001339588,0.11660259954527552,0.04693131010806317,0.11867904969681864,0.10320764644068954,0.026639185512789418,0.08987201592582099,0.0741368817101613,0.06115119965662288,0.10202974701458321,0.04962232924039884,0.06338099197016928,0.16095131159713014,0.07789504576516146,0.01872739550775041,0.06680932896593038,0.02998147427238909,0.0385846711052312,0.03241942011060761,0.03171332720361169,0.04141973084518107,0.03047434193225942,0.046698939373135566,0.035458816075223824,0.043394611631556404,0.08812429067309221,0.036582576043862905,0.04689553054244399,0.051453546038677675,0.05520581866114151,0.033041430597144185,0.04103450259944717,0.027187862383907937,0.0741861197405092,0.02756313073376641,0.026333162799560855,0.17314246250611137,0.09543782525673326,0.03170650640430435,4.656612873077393e-10,0.02638144563427056
+389,0.28384415890430503,0.11193501249864264,0.3732994111785873,0.18335952515668338,0.31388177768010095,0.11537770249638081,0.304160037803198,0.1872522497787025,0.15316023809032145,0.21916283734371594,0.21759438524501798,0.0441891558196907,0.2876815359445608,0.20002259262501548,0.17657701395742972,0.30422515045924725,0.16404883623003652,0.20022093833375565,0.20916365108035287,0.19255205716265605,0.24429487000541697,0.2383759248886201,0.20304094102541267,0.19012001211506488,0.32477841606398256,0.34653870755204086,0.25312385967618534,0.26922385180031233,0.07284749309441352,0.06996872376698038,0.0729298496779048,0.22840910882850465,0.0972181745857719,0.19124398828489536,0.1177719403374348,0.03759060471007663,0.03531178604954321,0.1855702033921638,0.2745633175437489,0.10330796144372341,0.19523134581463622,0.22671191742573524,0.12244654730836876,0.261556633632815,0.23786278512717546,0.03855215981843547,0.04592733794210181,0.09061922171813103,0.04477917472072198,0.1948964243474363,0.2215559722627083,0.3091746641940093,0.26306475342987845,0.24469753379615855,0.04776250174831796,0.259695344305418,0.11159081129698048,0.05959385175789585,0.203516316491046,0.1216989656544472,0.11355272978163437,0.1518658468224085,0.20724900380297903,0.16291225712264656,0.06299191667003512,0.10905509402855924,0.27815863305612354,0.14117846229875025,0.12312248104878538,0.23148186986417918,0.1556423750353299,0.14275009669914096,0.04507205604168612,0.15206805541571636,0.22987366667034995,0.14388858550776645,0.04953220912511372,0.16709543144050554,0.09144198867127382,0.16662238741314486,0.23747358645342667,0.1931937672958582,0.12765171307676446,0.15326829578161122,0.15100799235190343,0.1556655055900739,0.04628933710377063,0.06590714539217801,0.29448976334646526,0.03479939963938156,0.07645629452870539,0.23310752939480342,0.20477502305963075,0.1520246558597694,0.1749153313778633,0.12998676485339852,0.10953249159702921,0.11434385775594953,0.11915708881000231,0.1594298973686987,0.07118571494594593,0.15710663007268633,0.1699230452547325,0.06419118790518276,0.09782774457793646,0.10430885570912092,0.11269987382024714,0.09147655045577124,0.12835561283357547,0.12436002137318228,0.16378759793914244,0.12620906360337933,0.08798569875384764,0.09270562704595613,0.10129537108624541,0.21106764705638514,0.13166639286437226,0.10154217286544519,0.17090021398469216,0.096315827247964,0.15574296106033783,0.20190058880558395,0.23812390739193648,0.23047106864435912,0.19145382954828175,0.2579752139466262,0.10429267008538004,0.14620705878634782,0.08944043238158597,0.10127345624073128,0.11869164337866299,0.06504878999072757,0.23195087909137085,0.13531370523242128,0.13169428976072325,0.12007276557010887,0.2704061029605788,0.15255926679419815,0.05026066652458323,0.11916453174317285,0.10924055330829759,0.031710747268002264,0.19452660458350993,0.04056222719649646,0.06418844648776383,0.13647773682248732,0.05429226599268228,0.03055814512285607,0.03477722263272037,0.05272161999480178,0.11494128600921233,0.08224273256948324,0.12374889036963821,0.28144843800187896,0.13064568043538646,0.2155307508799882,0.13919355645320122,0.1803683143523364,0.048757864852976215,0.16645327512088573,0.07881490139263016,0.0386344129339106,0.05740480282263167,0.05544267281739506,0.16057898229650347,0.16115143917343303,0.19450392969389269,0.128359480786502,0.08362210962629417,0.028973214766133897,0.09082129246228404,0.06834186268001083,0.0920553700704939,0.1274246850003816,0.09520537434553261,0.03152367958384484,0.08920762216194204,0.10126691108427892,0.16998826963434177,0.03627726262199868,0.13455283777611046,0.07682713441910802,0.06298807457630624,0.12634319883910403,0.14623471635656216,0.05412453425221831,0.2232010586769428,0.06637522968756841,0.21359598461606127,0.14443606720371516,0.17650561826257777,0.07135385360128318,0.12120192491507446,0.1363398537148513,0.05055047185328089,0.08913533414746734,0.041284861408620095,0.0379491914420018,0.02807860835271998,0.10390157828841581,0.06678098574025276,0.03046965715913153,0.06266392434163956,0.06291599896008424,0.08311063143997086,0.11470596864644819,0.041642388213262965,0.11691598693301601,0.10374993187402763,0.014411981754998833,0.0867156121135671,0.07010616488144814,0.05721385876214707,0.10044234059604436,0.048550720464955406,0.06225568729646944,0.15937674124959053,0.07515473652875726,0.025551319260982513,0.0680963000459666,0.027968421400676038,0.02968612877310317,0.02621830598877935,0.02329141245955146,0.036325999392436525,0.017647316893312892,0.057492251670133374,0.02783074412353312,0.03964221110493111,0.08661583292679076,0.028226794786762516,0.04457823790661405,0.05045670529268909,0.047493418609440764,0.025409835154310653,0.03555047391439249,0.015012472322631604,0.07047671966212148,0.016013614715370647,0.016274350731792123,0.1735983725906185,0.09759128099336735,0.02952505244039197,0.02638144563427056,0.0