[1.0,
0.87313219853077473,
0.84653225168705659,
0.86839898577548669,
1.0380384472592481,
1.0473957897412411,
1.2416095077443967,
1.4120765786826246,
1.6168029054226052,
0.94414745339971862,
1.1320626590244718,
1.5783288657598593,
0.88325619677745082,
1.0362015256762209,
1.1838472026105702,
1.3441097685747043,
0.69832400867265698,
0.6639513026965469,
0.65380559286495799,
0.68635843262740082,
0.69554756695705744,
0.68936610771941909,
0.7470121257528497,
0.7664213407139111,
0.49538897432419526,
0.49771877771533823,
0.58712838544857981,
0.63811739839453674,
0.70123011204590524,
0.45727338319368771,
5.577389348303484,
4.9079510047238237,
5.0625761231621835,
4.9713713546977401,
4.6751046241442564,
3.9064743527447843,
3.836457275199705,
3.24938727698478,
3.5352200524751227,
4.5393691773567273,
4.6501896689809721,
5.8445444821709573,
4.4908174273710229,
3.9092365738158938,
3.5859361501658666,
4.3590451213619819,
3.9636906280309629,
3.5391785415784054,
3.7330592807388263,
4.0213113778245182,
3.0660839302883258,
3.304216826503195,
3.5336979152891619,
3.9824712832804039,
4.4219201077166561,
4.5598540933536604,
4.5453284588595935,
4.8000860724321281,
4.2359115965844216,
4.5694812016100217,
5.4827220245021442,
5.5003912624586846,
4.6215062761363406,
4.6261889679782593,
5.1787039300585223,
5.0080480612983429,
5.8514391218028319,
5.7193643329871477,
5.3515496433525085,
5.468083988834338,
5.5652556927116361,
6.1420705038106815,
5.6009750918359034,
7.0079125298337219,
5.6893012377781282,
5.0398315700550684,
5.3841401440708339,
5.4744539647443986,
5.4011296947523375,
3.7679089365989142,
3.9216790435346116,
4.417057233959186,
5.4601979156345921,
3.9027580864710547,
3.8837727035223781,
4.0148914981103818,
4.6893447125885759,
5.5403096825867095,
5.6119770432042273,
6.3419518586996739,
5.8096672392378981,
4.8247333428456551,
4.1014119613341506,
4.2104289136118727,
3.9985102613398791,
4.6439761630330452,
4.2785996132641175,
4.3643232943918822,
4.1620154784226155,
4.6475219808201826,
4.0912322187424675,
5.0331226107551315,
4.3507721232700964,
3.9005695343581506,
3.6824656524114512,
3.8827666164175927,
4.2059189332575597,
4.7319272623164572,
4.1943133409480069,
5.5204772561182027,
5.5151451995066028,
5.2122539411719249,
5.3512884617140326,
3.7862863932751005,
3.7479304172259846,
4.4582227808426023,
4.3409288732644802,
4.5998030240941183,
4.953678574126533,
4.6161728049401258,
4.6810216949238823,
4.5107469564694416,
3.7489226344224722,
3.9418555260608112,
3.7574080465593838,
4.2674467663267279,
4.8712747096027993,
5.2988822596467413,
5.4361751951027477,
5.2886449162057065,
3.9691757410325934,
3.7472087487349377,
4.2338105330380467,
4.5845402737305019,
5.4114534917450028,
4.3418141922570808,
3.3972238329295488,
3.2151234552425496,
3.9508017930836647,
3.5573595648952656,
4.2941206906973752,
4.6637303451146526,
4.5416287511325404,
4.7047828869144794,
4.5769660972057773,
5.3864431069132737,
4.2437408951538966,
4.9931623902909301,
5.5544144397478146,
5.6699000737015632,
5.2951357411419044,
5.2281381759005203,
5.560310821875647,
6.0148279520612151,
5.0547919163740698,
4.9152622648891686,
3.7457652688418062,
4.4793797633474579,
2.0794892034022956,
1.6868244576826836,
1.9378575065698418,
1.770083134724648,
0.79717898747947258,
0.69524531823257063,
0.50849503187987999,
0.56977093496411069,
0.56318726985696199,
0.5627527222076969,
0.58849007672259468,
0.4708699486436807,
2.7323085334163393,
1.3823483194185715,
1.4399860851627053,
1.5071363448912738,
1.7854126448839964,
0.7047723015037417,
0.72253909137028449,
0.69065922097523202,
0.66093885742909786,
0.63273161797534661,
1.0904062022803787,
0.95288862296105259,
1.0180201738783423,
0.74820784573917365,
0.74229468456133452,
1.5439175458347609,
1.5521706017490964,
3.4492594213822025,
3.4417255047345234,
2.6506670322627159,
2.6705847893890136,
2.1377331616704849,
2.193439778709132,
2.2651912334371911,
1.6083567131329923,
0.91565715197395803,
1.276346874198897,
1.8901116664911604,
1.743260714962084,
2.0667777159260274,
2.5264850498161544,
1.7559300707934988,
1.8223816327958509,
1.5349856831331712,
0.69056225588136733,
0.7992473993684639,
0.81213144788399139,
0.61400838127952118,
0.43682504048351545,
4.229173003058742,
5.1552277794338686,
4.6234472735336505,
5.1956477942777912,
4.9508814192401056,
3.8457386993023879,
3.9316316939313438,
4.8013692968125312,
3.6343612698506123,
3.9953918981267629,
3.6015540295001363,
3.1006150426288603,
3.5797611660294328,
3.6858587195018799,
2.6171974318903617,
2.8884601589942998,
3.3704065456088625,
3.1573539105955346,
3.7572494501448901,
3.7881786681694289,
3.777050221847456,
4.1700474657462889,
4.5077348902564118,
3.9651553729468918,
3.3763768734105621,
3.2215577081133127,
3.4091882231042234,
3.648621827287335,
4.3142781201133094,
4.3818870439414841,
5.7994095668868972,
5.9245954470579605,
6.7300474410667963,
5.1479886115028197,
5.6581183926232512,
5.5698689058203374,
5.7219679273862862,
5.7417725084738134,
7.0290717039542745,
7.1159081533518389,
7.1993122683597992,
6.1597513068957834,
6.6763255683058684,
4.0161677721167264,
4.5416613270317221,
4.9175903828276954,
4.966611152064802,
5.467472833561537,
5.1047541544464696,
5.0784343910821654,
5.1450368278593048,
5.9835003804646414,
6.3971414177539767,
4.9739511250916673,
4.3068329283944164,
4.3610870287567449,
4.4814303840528087,
3.6025874740876005,
3.8305869674255835,
3.5148835674076002,
3.6347941582215388,
4.1401734215225048,
4.1642367061953109,
4.5811303672569652,
5.4173449631706792,
4.768932994951542,
5.0161713190635338,
5.2158393680734632,
5.7369121390525395,
5.4030553119142564,
4.4433586237830971,
3.6531908534906838,
3.9166092262059933,
4.3745896260166823,
5.1365847970097924,
4.4281405020999882,
4.7893806570244184,
5.2721288932893824,
4.3873847721108721,
4.3994826334486872,
3.7024989598125222,
3.6172667853220712,
4.3137404208297463,
4.6421761590943049,
5.4323461557835824,
4.8911823805705463,
4.6795951964409701,
5.4032159563498183,
4.8745987437585878,
4.6152546809715016,
5.0618681956189713,
5.1773328011044146,
3.9176641557254834,
4.4544488025865281,
4.0696029535362941,
3.8850598759034343,
4.431874143947379,
4.9282577930151019,
4.1520771881356051,
4.5450077377998861,
4.3873011278371408,
4.8555663176821477,
5.2841217870926362,
4.95251377016859,
5.1810867715784603,
5.0324702493331692,
5.397840128012934,
6.1111321317155793,
6.4392954686876047,
5.9191852311594282,
5.5222435437813573,
4.9152292586453576,
6.2469634776656582,
5.4615690799275614,
5.2472079311595943,
3.9654927739947006,
4.3464870827424162,
4.2459005914032151,
4.7814004644838333,
4.0741799183216711,
4.9815798558595503,
5.9675246422907211,
6.2544296952880352,
7.3128025151545639,
6.5838095353539279,
6.0460925419953604,
6.0330251327571744,
6.3407425770570383,
6.2111029832461622,
5.5370609321497009,
6.0792738119909826,
6.0906157794838691,
5.8642347474072842,
5.7267580510474358,
5.1316947800926229,
4.1224436611864164,
4.8492385501981969,
5.8125568600727693,
6.8853447107379306,
7.6401650450888043,
7.156548773066886,
6.3847827368608643,
7.0412389576158692,
5.8396259661268051,
5.4533308421343136,
3.7400372454774917,
3.7907015572481457,
4.1774062882856615,
4.856960718016186,
6.1295583999913816,
4.7472824132434317,
4.9147404007241224,
5.7536374543394393,
4.1175410186375903,
3.666867583153,
3.7901707451452689,
3.9930280372801015,
4.1239028589651712,
4.3569471597946965,
3.6620685657135299,
4.197542307373662,
4.5054229373266477,
4.5338857479051242,
4.1750167312636011,
4.2802723648357919,
5.2857162383410836,
5.7045244449898798,
5.7205422455758628,
6.4086401352924414,
6.9699121529899362,
4.806003350974045,
5.5137927644423126,
6.5277357041862993,
5.3777603422110163,
4.4922803778434579,
4.285206545337684,
4.9171840713430415,
4.8116926351736096,
5.9033798097458412,
4.1388211998384197,
4.6852296474317523,
5.3252420632450947,
4.7027593067693108,
4.3490902706390937,
4.4480365437213978,
3.3831484687057172,
3.4238343082804317,
4.1557979005177286,
4.3531859690397612,
4.3529774641757557,
4.9489573373180233,
5.6224960299620355,
3.6443123834469651,
4.411813192196461,
3.5838275589836353,
3.0299848640815448,
3.676844046770257,
4.4920061376857445,
4.8518404427117945,
4.9418377570886767,
5.5325000425156032,
5.2207593621244719,
6.3525491483696275,
5.8931972397350201,
6.1108524301200946,
5.4693993830632426,
4.4490269567448921,
4.9630945365094572,
5.9899340499533613,
4.8896479141321025,
5.8727481945162499,
5.2430413804183047,
5.5456151201852384,
6.6289185906550818,
5.7604861918840076,
6.1972967971699662,
6.3823065643429429,
6.5036233580668625,
6.6264616461473018,
6.5089669351371402,
4.6362735961542318,
4.8882977777376704,
4.5899991638398028,
5.8220499442605815,
5.9253627427122613,
4.3087252015991009,
4.7740420946117528,
4.3288394383557485,
4.2749818632068397,
4.7932011459546313,
5.5986833985070428,
5.8467227709284737,
5.7112201085541594,
6.1887712912613004,
6.5610608631448315,
5.4546857405154725,
4.1512388074179167,
4.9527347239522568,
5.0162587526290556,
5.512875255462971,
6.2436647523334301,
4.6282669234946097,
5.4078064754575976,
4.8218188089624618,
6.3123704144305295,
7.3311541693313309,
7.3599965411574821,
7.622775133672274,
6.7717843015207571,
7.1017571222233187,
7.0825728851215963,
5.4034304322781885,
5.8442532281151669,
4.8189316185238082,
5.277279871593139,
5.1173836770412855,
5.253442902504089,
5.297068729633116,
5.2359350637019286,
4.7488502863200965,
5.1584432663129194,
5.5101447252858788,
5.4470211282537333,
5.4408091732537729,
4.9596956703800803,
6.152942447383559,
5.4600715503755293,
4.9323593415066522,
4.7297283777969028,
4.7511700452694186,
4.6589298632721388,
4.945325379082349,
4.7826379087544284,
5.2165717939605312,
6.0153626597994361,
5.8640775125107778,
6.7452262892009172,
6.183635279502079,
5.7481133706653695,
6.6144836618072249,
6.9466051670522546,
7.5742362171429694,
7.864607290497557,
6.7482278143321519,
5.7448848121000493,
5.6949174157860423,
6.786032289412903,
7.4625878427429422,
7.1915669364744392,
5.473151928174822,
5.1854141856669536,
5.4939835818015519,
5.8028008777960993,
6.846608834813777,
5.9105780199524656,
6.8053952863563536,
6.8414988753658363,
5.1257580431517571,
4.2143702404592958,
4.0827778243921866,
4.4932839598483865,
5.7860875047885507,
3.89495024303063,
4.6647542739392511,
3.850361722296805,
4.74562196344284,
5.4823455718273477,
5.6702361677263298,
6.2581422886908982,
7.0486269370596126,
6.8519357309668294,
5.111844207655901,
5.8235545981358294,
6.1737354974545005,
4.4142627837725641,
4.6415380830762007,
5.4287284615592259,
5.2904237576361206,
4.7626194714164107,
5.9974209384230033,
6.4427881883655616,
6.720031868268026,
6.6708665205107431,
5.4745288177652558,
5.906833398809022,
6.5436488143930767,
7.0809137104671187,
6.6888882491623445,
7.346485282171642,
7.3639078112756788,
6.6457223833100052,
5.7233736188015616,
4.2521781845741309,
4.91140569945712,
4.6211663607291102,
4.1997704338763953,
4.8682505975811932,
4.4748157562258983,
3.9204151229829609,
4.7049130651301336,
5.7501709752419741,
6.3532488105924658,
4.8339373876262721,
5.3379185953434698,
5.583532319418353,
5.8835760235801917,
5.2431156202443345,
5.2412357254437234,
4.4643625022757121,
5.2436862486327271,
5.7165879284257821,
5.7749384356772486,
6.7509076884809769,
6.5350495164696447,
3.8623138724949899,
3.1522465083714839,
3.3953072185610846,
3.6060907809445704,
3.435402708031086,
3.5562350466777835,
3.8647248041101383,
4.2826642792884488,
5.2151724333503537,
5.1460126853746413,
5.0196391383552719,
4.6242452891026478,
3.4403986597167782,
3.5917220023888632,
3.6188822317486959,
4.5104092123705479,
5.0726983837765918,
5.1826949919655032,
4.9745869058359844,
4.672783876597653,
6.0764181577103251,
6.463722715376047,
6.3769472860698295,
5.4530730156591982,
5.4335882957696251,
5.3437238302259127,
4.2060184847849662,
4.2324426607659271,
4.7240886189832114,
5.727669932169718,
6.7494255062941262,
7.1496161086441106,
6.2230750173630414,
5.5363006572653948,
5.4958697508728118,
5.2389476731272389,
5.9502134084398097,
4.7761642309468986,
4.1471322072141472,
5.062388806387208,
5.2268529535943573,
5.6951095668574716,
5.1033242231515938,
3.8007806434834608,
4.174274571517385,
4.4606807494176914,
3.71861154980708,
4.1103493519761276,
4.4188760025766172,
4.3531651537046816,
3.7204240557957684,
4.0959515363157752,
4.7596830338818359,
4.7316396845506503,
3.6863269900630389,
4.2320356063973543,
4.157404976036009,
4.2211304221373904,
5.0835576784356284,
5.4628979266501556,
5.4237595830199004,
6.1078844699641346,
6.7794004427878427,
5.2863874355828901,
5.3614537185288471,
5.4332344647440136,
4.4056880797108695,
4.8432820861521746,
5.1610177843407303,
4.7048051288447503,
4.9328652641922872,
3.0582137348311864,
3.5586696198890841,
3.6231519710717341,
3.1868388359066526,
3.4530685854424616,
3.7925698223244857,
4.3358682161768796,
4.9455055338007341,
4.4305547994294665,
5.484889410074457,
5.6705880608933725,
6.6007902011568342,
6.6024312170813966,
6.9682877112105563,
7.0951042783871987,
6.6186973891549279,
6.8621601697617605,
3.6390805960231045,
3.9747505498842677,
3.3131491690399599,
3.5386493188865882,
3.0318117519797845,
3.4113593522595242,
3.090230635463366,
3.1175957881801137,
3.2459590786662296,
3.3043349101746626,
3.4396718270401889,
3.3036673069264713,
3.8085133617146978,
3.4988066171439001,
4.0685109631021756,
4.9836383981675265,
4.3075841995608677,
2.5598538291128015,
2.3448453319806966,
2.7185255848295213,
3.2628545289346036,
2.6139108925761096,
3.1118749490269666,
3.6632348890806137,
3.2595981475683162,
3.2449551760379429,
3.6193077786015344,
2.6963907892489738,
3.2993391439034152,
3.9453128153397747,
3.9446166527857507,
2.525081246556792,
2.7041558377141994,
2.936828042300633,
3.0025773020166668,
3.6642324336004077,
3.9760444743727428,
3.4112749490163949,
3.8356897799532499,
2.3596027680842915,
2.7731335872610101,
2.579626880171968,
3.0477482605652666,
3.3270053077620259,
2.8471421059378819,
2.5998266609520515,
2.7562030914054954,
2.753885694721224,
2.3241941370355566,
2.7505794333446718,
2.9875012424513518,
2.8722387832745744,
3.2724188692789848,
3.0356066291533477,
3.5933764089221851,
3.0864829918444534,
3.2314390523219143,
3.4516649187167472,
3.316108987386305,
4.3145844007148106,
4.5504515034791879,
3.4737035106852825,
2.8459018324395271,
3.3937358436291181,
4.3082512513105868,
5.1487847777444093,
4.9913058648976882,
2.1226362338251721,
2.4747561308216977,
2.5871150138829915,
1.9271780187491367,
0.80707390815265345,
0.58821444730363881,
0.65620006768193684,
0.69533981834399627,
0.73481754538631927,
0.74951991092989478,
4.0478933480921544,
4.8460262951343944,
5.0465161751225107,
4.8776701001856742,
4.5730119274115388,
5.0769369454655964,
5.1949952163218986,
4.9247987473150685,
3.4404147734882402,
2.9005816767251034,
1.3844627298904921,
0.43490689508059743,
0.43657769444695305,
2.3532788099693542,
2.6353733845556526,
3.1679385563104461,
3.0939205446677533,
0.96034078876732609,
0.6545285737008828,
0.63205450757784032,
0.61913389566795773,
1.5672531079948173,
1.7322589129438331,
1.5915464607085106,
2.0771494024063757,
2.4560529539751004,
2.5566264304318489,
1.7290286567944082,
1.5131999238933584,
0.7842255615630942,
0.49979359781786403,
4.6805659498531975,
3.9382277433268502,
3.8890425995330964,
4.562582186925388,
5.3649117974256431,
4.1288806319065854,
3.779984050917776,
3.5334452594218551,
4.1736341505292875,
4.786230339665388,
4.8188858590406074,
4.0247350295605777,
3.5270280816538944,
1.6584562945424035,
0.8247658362584962,
0.71886612451239518,
0.69124868253826333,
0.90317872578911695,
0.85487012481049041,
1.0185738628253591,
0.9034990041325156,
5.0395006726328795,
4.5156517366403515,
4.0352592569070422,
4.1468049492766639,
2.8253313012057393,
2.4556348886638255,
2.7861132232304202,
3.5376677479528036,
4.2490453652037319,
2.7314056599180043,
2.5041820144915237,
1.4617482308480683,
1.6752380235807935,
1.2212701957656185,
0.93485847161670765,
0.92044507623922778,
0.89411165217001476,
1.0809231070815759,
0.89099360808654815,
0.98260124436762175,
0.85554602024036841,
0.56790652925583007,
0.58665495634009934,
0.60831485041296451,
0.76457089242298926,
0.86742860763264029,
0.85828480116318584,
0.61031076132721607,
2.3426074151907192,
1.3285257787103864,
1.5649015227572098,
1.9113855871876961,
1.6215635802157087,
1.5539942410246528,
1.5935091676380861,
1.5298987087236688,
1.2747999222107855,
0.74053907668394769,
0.48887197820025419,
1.5753575313672945,
1.8702234941913489,
1.159784590774287,
1.3355780974459468,
1.4022738039489797,
0.65020216441592482,
0.63673228135116222,
0.53542041507186311,
0.47285383619198917,
0.56256918340120099,
0.60775696536048684,
0.66947973622219781,
1.9927047601643344,
2.4247978448386958,
3.0579521578351025,
3.913724633523588,
2.8776664087580306,
3.4926617740258425,
1.1798069087733432,
1.2153758350073913,
1.4966518130650788,
1.8181286234293532,
1.9497098593157176,
1.0975707935556809,
1.7434333808113158,
2.1496965117699633,
2.1436236005492169,
2.7002687108842234,
2.4625842224042831,
2.0249556991635176,
2.5302451898124709,
2.2887225253969969,
2.5481094338231642,
3.8805377223692261,
3.9617196025854464,
2.9703362188484714,
3.5548713444348308,
4.4380069633843151,
3.5983253653318856,
4.2580060681597649,
4.4806040923643469,
3.0370903464534842,
2.6898284186431116,
2.6224487739482916,
3.0602599557252463,
3.3271079071587897,
2.8215706030354188,
2.6179655758223275,
2.6978530417555824,
2.8485180664613807,
3.0417084941963672,
3.6286770525658252,
3.898826232475046,
4.7329549138849147,
5.5742928958189415,
6.0555835667098057,
5.0099404727929633,
4.8150492716546465,
5.8301953825410822,
6.3406234917842497,
5.2825626370443892,
4.5376903929145573,
5.165823772807018,
4.2357474685602678,
3.2953429626542698,
3.1281631010343585,
3.418045958357451,
3.6673097718450718,
3.6465391779244878,
3.5795223243832899,
3.5450696408598703,
3.9311618670127295,
4.7717101581999799,
5.3692936641847373,
6.6441995377573617,
5.2133658728560448,
6.2324292216805235,
5.6204178488840828,
6.714883223779383,
7.0144337251751772,
6.5750476710075869,
5.4110926159870019,
5.7994740899197792,
7.035941273262214,
6.0066944581502248,
4.8739229077445598,
5.2701962391778165,
4.9028527283665984,
5.025073251109446,
5.132367676140313,
5.1823388025414561,
4.9819326871260881,
5.5371358710601335,
6.5089820020976408,
5.2190198663766605,
4.6055465416640073,
4.3985667126146852,
4.6082568209325272,
3.7925780286218052,
3.7455746642310519,
4.0216317357576106,
4.1257705191524581,
5.319806696921594,
5.5696512786024961,
7.0368584756868113,
7.6698388644241131,
5.1100342604266178,
5.8776344730130514,
6.2910470885984449,
6.6449495431170762,
6.0186466957862885,
5.7369850083430194,
6.058537478070912,
4.7841191126680176,
5.1383370128940555,
6.1407020071678353,
6.6758906039572832,
7.4815463453461311,
6.9395045396824671,
7.4399520893139339,
6.9341157118287624,
5.1915902776507954,
4.0565553676622521,
4.2050943809124854,
5.2201901835220967,
5.229558263314555,
5.7148461414506091,
6.2078978135333287,
4.4390834767520015,
3.8744488518150586,
4.6588516596498017,
3.9650346909406977,
3.7348527797445774,
4.3199839474412816,
4.012871381764322,
3.2506624568888638,
3.4857310539639474,
3.1036871941060307,
3.1159543176796838,
3.0312211725296523,
3.548119206144821,
3.3591098611897023,
4.2841898073717397,
3.7512213217301085,
4.3479180498252417,
5.4233488537286556,
3.8711921693114144,
4.0256273930217299,
4.8598314679832022,
4.5144793546706374,
4.1986268193961518,
5.0230580685544091,
4.730461061024247,
3.1634518818695785,
3.2347428576879311,
3.2218125194291636,
3.7600713942976536,
4.485189681559449,
4.9138922336772524,
4.4431716167230775,
4.2436922110996695,
4.5963753160815166,
4.7146571718445722,
4.6462733713879736,
4.9537761888842855,
5.7562073838329963,
3.9662525167034466,
2.6160068086400159,
3.3125756306236616,
3.8349219295409296,
4.6954960435524686,
5.0793396461808689,
4.0617158393085386,
4.6502793963929783,
3.6619608898375224,
3.8584954610778568,
4.8001038995586276,
5.0329597005281643,
4.9159558322718393,
4.7280281313222412,
2.9803914231265898]