[0.172055,0.18162262,0.20116878,0.22194044,0.23623879,0.23978978,0.23364921,0.22250463,0.21236043,0.20655145,0.20463537,0.2041194,0.20434083,0.20731716,0.21557243,0.22817093,0.24009633,0.24550074,0.24232177,0.23362137,0.22419222,0.21605353,0.20753337,0.19692056,0.18691744,0.18373688,0.1917202,0.2072006,0.22048879,0.22273706,0.2142586,0.2029925,0.19824754,0.202088,0.20967324,0.2134163,0.20998047,0.20245446,0.19841479,0.20474201,0.22190915,0.24406858,0.26269445,0.27309227,0.2754141,0.27238783,0.26575854,0.2555355,0.24222666,0.22783227,0.21581523,0.20793848,0.20365529,0.2001748,0.19542444,0.18890248,0.18211913,0.17736499,0.17666255,0.1810512,0.189705,0.20052111,0.21014397,0.21575697,0.2155767,0.20999731,0.20065017,0.18998589,0.18009861,0.17263736,0.16788371,0.16522823,0.16368431,0.16372292,0.16665037,0.17323892,0.1817276,0.18880604,0.1920681,0.19174725,0.18981303,0.18739618,0.18367617,0.17756926,0.1699249,0.16468698,0.16584091,0.17471372,0.1873868,0.19741483,0.19933236,0.19249703,0.18039815,0.16791308,0.15805404,0.15144509,0.14770587,0.14763753,0.15342386,0.166848,0.18658769,0.2075289,0.22314681,0.22891407,0.22545515,0.21774334,0.21274902,0.21418221,0.22106315,0.22852673,0.23283625,0.23378395,0.23420727,0.23643516,0.23985739,0.24132192,0.23703761,0.22440767,0.20353186,0.17758937,0.1523479,0.13244063,0.12007493,0.11519147,0.11893075,0.13228868,0.15377872,0.17674251,0.19352628,0.19981976,0.1983167,0.19492634,0.19502383,0.19913574,0.20492704,0.20960522,0.21296751,0.21686955,0.22325158,0.23278402,0.24368471,0.25306156,0.25759828,0.25632384,0.2509997,0.24564312,0.2435628,0.24563801,0.2503229,0.255216,0.258028,0.25661495,0.24914385,0.23497067,0.21567546,0.19477959,0.17651497,0.16378932,0.15748318,0.15671244,0.1607895,0.16947232,0.18233918,0.19663209,0.20815235,0.21331076,0.21228473,0.20858216,0.20669496,0.20850457,0.21239872,0.21487404,0.2139138,0.2109148,0.21004377,0.21473257,0.22466767,0.2353084,0.24145909,0.24071921,0.23466374,0.22619331,0.21730447,0.20876366,0.20194097,0.19966723,0.20446248,0.21623679,0.23091663,0.24335976,0.24979186,0.25026092,0.24633278,0.2400182,0.2317587,0.22201003,0.21117765,0.20063151,0.1913815,0.18401079,0.17813621,0.17314236,0.16850312,0.16366021,0.15811548,0.15140867,0.14412922,0.13741331,0.13269088,0.13007933,0.12868132,0.12690438,0.124854706,0.124679245,0.12975037,0.14109623,0.15602706,0.16926204,0.17617293,0.1750632,0.16733308,0.15753303,0.1511328,0.15238117,0.16038351,0.17023344,0.17533636,0.17227091,0.1617487,0.14856297,0.13845897,0.13523722,0.13826436,0.14401202,0.14923267,0.15443479,0.16305466,0.17860894,0.20035441,0.22257715,0.23701675,0.23832078,0.22717892,0.2097923,0.19364859,0.18338569,0.17928518,0.17853029,0.17850517,0.17810176,0.17803001,0.17845242,0.17940383,0.18001322,0.18051936,0.18060096,0.1811107,0.18201315,0.18423681,0.18789117,0.19533443,0.20979802,0.23467785,0.2678245,0.30116257,0.3236816,0.32944784,0.32080746,0.30665866,0.2952017,0.28958547,0.2868921,0.2832003,0.27694353,0.27092287,0.26786196,0.26764253,0.26563227,0.25750282,0.24229145,0.2237454,0.20622973,0.19231187,0.1818571,0.17459022,0.17086631,0.17180286,0.1772375,0.18533291,0.19246851,0.19512826,0.19151254,0.18267815,0.17201471,0.16304062,0.15772478,0.15572381,0.15628105,0.1595462,0.16706574,0.17926155,0.19397555,0.20617676,0.2114137,0.20778655,0.19776078,0.18564117,0.1760153,0.17013972,0.1663837,0.16124938,0.15361011,0.14571102,0.14166218,0.14320087,0.14799647,0.15160577,0.1512525,0.14787902,0.14453377,0.14374089,0.14522628,0.14698632,0.1466796,0.14404082,0.14049941,0.1388977,0.14101137,0.14668892,0.15287381,0.15593125,0.15402234,0.14879566,0.14364636,0.14089745,0.141248,0.14536028,0.15514565,0.17165436,0.19235049,0.21168411,0.22485846,0.23146246,0.23460855,0.23773897,0.24175608,0.24523252,0.24631572,0.24427168,0.23971333,0.2336179,0.22677203,0.21949464,0.21203929,0.20423609,0.19591807,0.18692122,0.1780573,0.17035733,0.16486841,0.16200526,0.16206281,0.16475199,0.1685862,0.17091614,0.16956215,0.16451393,0.15792401,0.15223765,0.14851256,0.14614426,0.14403349,0.14149009,0.13890876,0.13785233,0.1414275,0.15271999,0.17282319,0.19855724,0.22399606,0.24311455,0.25216767,0.24941683,0.23402017,0.20735289,0.17397054,0.14228478,0.120066844,0.11098826,0.11207908,0.11702099,0.1198195,0.118183665,0.11284834,0.106247485,0.100226395,0.095788024,0.09265978,0.09050855,0.089077234,0.08847738,0.08832562,0.08775434,0.08699727,0.08968288,0.10387311,0.13706544,0.18895543,0.24608433,0.28944242,0.30729523,0.3057499,0.30190906,0.30916336,0.32585934,0.33876276,0.33791864,0.3248409,0.31255138,0.30963632,0.31616232,0.32344198,0.3286614,0.3348484,0.3476592,0.36655533,0.38526165,0.3954612,0.38920286,0.3633331,0.32193556,0.27742484,0.24119638,0.2169049,0.20241834,0.20377654,0.2374702,0.31736898,0.43201625,0.5460964,0.6197404,0.63582516,0.6033469,0.54749703,0.4915621,0.4488561,0.4200376,0.39826167,0.37621996,0.35315192,0.33520165,0.32933137,0.335584,0.34484032,0.3459526,0.3334475,0.31195366,0.28930935,0.27131948,0.25783014,0.24830116,0.24492566,0.2511765,0.26520088,0.2759107,0.27090418,0.24553026,0.20775716,0.17046814,0.14540584,0.14093715,0.16152054,0.20383072,0.25376537,0.294534,0.31793788,0.32881102,0.33522895,0.33829832,0.332626,0.3161159,0.296134,0.28422344,0.28593722,0.29785308,0.31303844,0.32851017,0.3435415,0.35556936,0.3585322,0.34865963,0.32830402,0.30602357,0.29448318,0.30877867,0.35926726,0.44098225,0.52943444,0.5954742,0.62677884,0.6346531,0.6381759,0.64384216,0.6427135,0.6239063,0.5871721,0.54317576,0.5037579,0.4732783,0.44924223,0.42792594,0.4133967,0.4109033,0.42197135,0.43545,0.43994495,0.42958295,0.41108963,0.39407977,0.38613257,0.38789555,0.39490283,0.40087566,0.40033302,0.39196822,0.37611794,0.3552747,0.3313749,0.3095437,0.29632977,0.30050084,0.32930613,0.38729882,0.47030067,0.56174177,0.63581616,0.67290694,0.67362,0.65727776,0.643157,0.6334885,0.6146819,0.57349235,0.5114878,0.444204,0.3900769,0.3576599,0.34316587,0.3362546,0.33192313,0.3339124,0.34891006,0.37410423,0.39583278,0.39974645,0.3850368,0.3644391,0.35192916,0.35019588,0.3529543,0.35568836,0.3615321,0.37457502,0.39140406,0.40147042,0.3960071,0.37469545,0.34430066,0.31311628,0.28718683,0.26870987,0.25550953,0.24288858,0.2286724,0.21712686,0.21442497,0.22186057,0.23241322,0.23819192,0.23597191,0.22888641,0.22135675,0.21674609,0.21570039,0.216532,0.21637191,0.21585405,0.2222478,0.2440234,0.2807725,0.31568238,0.32767776,0.308351,0.27735445,0.27079892,0.31896043,0.41973153,0.5391677,0.63121396,0.67219716,0.67000896,0.65318054,0.63911635,0.62607455,0.5991134,0.5522161,0.49161574,0.43125534,0.3802353,0.34197363,0.31721142,0.30976477,0.3227162,0.35263255,0.38502237,0.4026507,0.39649364,0.37227532,0.34434614,0.32543758,0.3213702,0.33111235,0.35070896,0.37423137,0.39723685,0.41662672,0.43172157,0.43940106,0.43674973,0.42159784,0.39966908,0.37918198,0.3689907,0.36989012,0.37840572,0.38908482,0.4035246,0.42941162,0.47588333,0.5410409,0.6092544,0.6562002,0.66477674,0.63288116,0.5739277,0.5053429,0.44062817,0.38568965,0.34416732,0.32022417,0.317363,0.3324804,0.35517418,0.37330997,0.3800962,0.37585172,0.36365628,0.34729895,0.33084214,0.3199536,0.3181,0.32517254,0.33826366,0.35413074,0.36794892,0.37165436,0.35838804,0.32879928,0.29328915,0.26480284,0.25067195,0.24920988,0.25297478,0.25596115,0.25818217,0.26595095,0.28333375,0.30624,0.32177547,0.3201799,0.30238107,0.28131542,0.27014992,0.27344775,0.28412822,0.29130352,0.29032493,0.28701732,0.29171467,0.30762723,0.3259392,0.33371493,0.3271881,0.31811893,0.32673264,0.36815524,0.4411715,0.5262313,0.5956933,0.6324211,0.64186686,0.64579713,0.65962094,0.67809933,0.68067986,0.65214175,0.5943401,0.5229506,0.4541308,0.39679146,0.35325587,0.3254883,0.3169559,0.32886025,0.35412237,0.37900057,0.39056543,0.38610923,0.37272373,0.36347792,0.36691472,0.38305196,0.39901164,0.3998922,0.37934494,0.3502923,0.33274236,0.33850083,0.35916898,0.37823668,0.3863556,0.39140904,0.40981367,0.45280564,0.51483124,0.57649225,0.6163626,0.6276207,0.61975193,0.6101485,0.60661787,0.6037972,0.5886201,0.5549229,0.50796145,0.46150997,0.4254174,0.4019151,0.38603365,0.3749586,0.36855432,0.3686389,0.37353364,0.37887383,0.37974334,0.3746207,0.36582908,0.35781738,0.35246262,0.34860918,0.34369728,0.33973944,0.34178975,0.35361186,0.3700405,0.37975106,0.37272152,0.34866223,0.31546888,0.28316417,0.25809947,0.24203427,0.23301202,0.22794992,0.22577733,0.22933173,0.24123152,0.25884876,0.27344063,0.2779297,0.27287444,0.26614022,0.26486918,0.27024853,0.27807415,0.28510082,0.29281214,0.30600098,0.32634792,0.34975484,0.36806348,0.37467444,0.36536884,0.34237263,0.3173935,0.31593075,0.36026952,0.45061263,0.5543812,0.6326051,0.6684241,0.67608744,0.6765502,0.67303485,0.65178204,0.5991958,0.51765114,0.4230263,0.33681464,0.27766818,0.25546026,0.2680047,0.30219504,0.34118298,0.3716385,0.38546705,0.38094926,0.360523,0.33375326,0.31486166,0.3239541,0.37508932,0.46532688,0.56350017,0.6271334,0.6272905,0.5703878,0.48723042,0.40997776,0.35161817,0.30964324,0.28100857,0.27564442,0.31061646,0.3916107,0.49824825,0.5929212,0.64749223,0.66251487,0.6602886,0.6594623,0.6583651,0.6400507,0.5918011,0.5174299,0.43696952,0.37092566,0.32990953,0.30822775,0.29579464,0.28621647,0.28361237,0.2939675,0.316625,0.3398073,0.34864458,0.3369834,0.31250975,0.2882342,0.27209687,0.26337627,0.2614516,0.26925683,0.29063904,0.32098427,0.34776804,0.35745466,0.34514526,0.31634632,0.28208074,0.2514357,0.22729306,0.20746982,0.18897647,0.17250389,0.16300172,0.16628699,0.1814308,0.1983384,0.20273893,0.19060278,0.17341173,0.17148076,0.19541378,0.23881805,0.28404617,0.31706858,0.33361042,0.33547735,0.32448146,0.30075192,0.26743743,0.23206688,0.2074307,0.20703302,0.24298722,0.31758857,0.41832915,0.51710343,0.586119,0.61558706,0.6206493,0.62440723,0.6365361,0.6443813,0.62838,0.580275,0.51285857,0.44882917,0.4055667,0.38396564,0.3738483,0.36659694,0.36212137,0.36301234,0.36483988,0.35740802,0.33563745,0.3072978,0.28890005,0.29384193,0.32399225,0.36740384,0.40442047,0.4171945,0.4010742,0.3668158,0.33397818,0.31642047,0.3146813,0.31904188,0.32342473,0.33638623,0.3773125,0.45762396,0.5620261,0.6521309,0.6930118,0.681334,0.64471525,0.6151002,0.6000352,0.5841002,0.5481315,0.49058262,0.42398122,0.3652613,0.32249236,0.29688013,0.28465363,0.28354275,0.29214478,0.30857468,0.32729885,0.33934116,0.33841872,0.32508978,0.30854824,0.29812914,0.29766586,0.30261052,0.30770314,0.31247094,0.3221943,0.34038624,0.363416,0.38022336,0.37885454,0.35291842,0.30631858,0.25253397,0.2078144,0.18181212,0.17198385,0.16939463,0.16792941,0.17023343,0.18129988,0.20000662,0.21562143,0.21654427,0.20172165,0.18499689,0.18615825,0.21356823,0.25483084,0.282775,0.2780333,0.24365163,0.20258962,0.17712338,0.17404805,0.18503053,0.1994297,0.21629798,0.2472605,0.30729607,0.39973664,0.5054071,0.5929685,0.63972116,0.6494675,0.64197475,0.63395524,0.6227763,0.59608847,0.54505384,0.47740433,0.41190743,0.36847106,0.35389742,0.36096242,0.3743926,0.38487124,0.39036524,0.3947769,0.39691922,0.39429936,0.3832877,0.36817953,0.3556292,0.3524618,0.35784587,0.3654777,0.36675394,0.3577275,0.3418746,0.32849097,0.32516232,0.33157322,0.33996713,0.34335876,0.34062132,0.33577093,0.33064786,0.3246335,0.31695417,0.31499603,0.3329157,0.38436535,0.46730423,0.55924433,0.62698144,0.64726716,0.61810476,0.5564355,0.48211733,0.4104745,0.3472565,0.29813322,0.2679462,0.2636424,0.28391185,0.319717,0.35390922,0.37220815,0.3676295,0.3439021,0.31062236,0.27844086,0.25395635,0.23937213,0.235766,0.24554963,0.26959375,0.30177996,0.32834542,0.33734342,0.32710353,0.3076749,0.2903129,0.2799224,0.2734171,0.26608565,0.2565152,0.24742733,0.24296664,0.2438556,0.2465838,0.24517244,0.23787446,0.2293026,0.22835945,0.24059336,0.26249006,0.28181237,0.28509519,0.26865685,0.24203676,0.22080652,0.21325852,0.2160101,0.22027718,0.22314124,0.23155946,0.25973156,0.31896496,0.40766153,0.5049884,0.5814104,0.6180258,0.6230051,0.6225734,0.6388091,0.6694184,0.6933429,0.6880479,0.6481232,0.5847799,0.5182341,0.46370554,0.4281553,0.4087782,0.3996538,0.3932362,0.3845332,0.37038815,0.35216334,0.33345032,0.31944442,0.31258455,0.31343856,0.3196475,0.32878494,0.33746895,0.34438738,0.3505062,0.3592987,0.37203655,0.38495052,0.3909098,0.3868307,0.3795998,0.38528478,0.4187677,0.48198652,0.55864793,0.6248321,0.6649229,0.6816957,0.6864853,0.68582296,0.67186815,0.632747,0.56039727,0.4602852,0.34561706,0.23551778,0.14514257,0.0829495,0.047010854,0.029816397,0.022655085,0.019596988,0.017680533,0.015982237,0.0145067675,0.013426379,0.012700118,0.012137763,0.011597854,0.01110004,0.010661966,0.0101982085,0.009628243,0.0089745745,0.008416988,0.008043104,0.007858985,0.0077141034,0.0075345915,0.007254306,0.0069694016,0.006920718,0.008666061,0.015772965,0.033694815,0.064116865,0.10055234,0.1276495,0.13362977,0.1201636,0.10430356,0.101329245,0.112494625,0.12396223,0.1246275,0.11621153,0.11232531,0.12516809,0.15826482,0.20614356,0.25858325,0.30596974,0.3421078,0.36509442,0.37384525,0.36520264,0.33655632,0.28875223,0.23196374,0.18134463,0.15447702,0.15811783,0.18549459,0.21723229,0.23823684,0.24671803,0.2515334,0.2577645,0.25981796,0.24939698,0.22601831,0.19880784,0.17846411,0.17116614,0.17944823,0.20245628,0.23598401,0.2699772,0.29529902,0.30824342,0.31412756,0.3196317,0.32673866,0.32841873,0.3145733,0.28045484,0.23423278,0.19388647,0.1772672,0.18990433,0.22277583,0.25792113,0.28167316,0.2907544,0.29360515,0.30234715,0.32975993,0.3834579,0.4626045,0.55074495,0.62102324,0.6485608,0.6269152,0.569374,0.5005082,0.4416194,0.4041221,0.3876357,0.38476148,0.3862336,0.3860167,0.38212904,0.37523016,0.36696652,0.35967255,0.35568213,0.3549339,0.35387805,0.34728047,0.3337425,0.31771377,0.30775788,0.30925035,0.3203595,0.33160976,0.33271572,0.31900325,0.2954213,0.27276912,0.26127154,0.26356444,0.27469718,0.28578106,0.29132974,0.29083893,0.287926,0.2857431,0.28586078,0.2880905,0.29182932,0.29662788,0.3018737,0.30619177,0.30657187,0.29951322,0.2833738,0.26083627,0.23817627,0.22176832,0.21459426,0.21671264,0.22694023,0.24552973,0.27427876,0.3191798,0.38652968,0.4748176,0.56662494,0.6359816,0.6688773,0.6734403,0.67093843,0.67194825,0.6689789,0.6445889,0.5897947,0.51127166,0.4283606,0.36140838,0.32233337,0.31084073,0.31866357,0.33544382,0.35233822,0.36302713,0.3638506,0.35521594,0.34019527,0.32340348,0.30891728,0.30046138,0.3004421,0.30909416,0.323763,0.33973143,0.351118,0.35408422,0.3485864,0.34022865,0.3352536,0.33940873,0.35663304,0.39397237,0.45475078,0.53153414,0.60018086,0.6365834,0.6357654,0.6187553,0.61115855,0.61807317,0.62103087,0.59853107,0.5484025,0.4864608,0.43241644,0.3948834,0.3725489,0.3591477,0.35019824,0.34330472,0.3373244,0.33099356,0.3223631,0.31101215,0.29820678,0.28729558,0.27966616,0.274183,0.26783785,0.26097083,0.25795946,0.26466158,0.28070936,0.2977227,0.3024604,0.28740373,0.25610057,0.22289012,0.2036819,0.20706594,0.22960754,0.25932863,0.28425798,0.29974198,0.30862904,0.31576088,0.32201907,0.32469124,0.32129702,0.31343475,0.30612588,0.30378363,0.30629095,0.3076673,0.30067465,0.2825805,0.25862774,0.23719083,0.2238961,0.21887372,0.22168362,0.23399258,0.25996006,0.30295846,0.36518893,0.4435896,0.52568823,0.59108806,0.6250549,0.63129026,0.62736535,0.6262357,0.6226093,0.6008931,0.55144435,0.48124495,0.40695116,0.34481835,0.3020883,0.2792966,0.27358952,0.28289548,0.30354092,0.32847786,0.34763458,0.35448897,0.3502148,0.34215042,0.33627972,0.33368778,0.3330978,0.3359611,0.3462495,0.36530086,0.38797697,0.40460297,0.40728918,0.3945863,0.37174582,0.34692478,0.32673466,0.31400964,0.30859983,0.31007102,0.31974757,0.3417054,0.38225803,0.44609722,0.5290753,0.6132341,0.67194813,0.68501824,0.64998764,0.5827492,0.50504375,0.43508053,0.38082516,0.34357378,0.3198544,0.30677697,0.30101252,0.29988933,0.29946843,0.29740003,0.29259506,0.28678206,0.2815164,0.27876553,0.27847052,0.28129885,0.2872912,0.29851925,0.31415808,0.33060136,0.3384967,0.33061337,0.30507883,0.270696,0.24078588,0.2284327,0.23746078,0.26146397,0.28575993,0.29815158,0.2963103,0.28893209,0.2864155,0.29246083,0.30363512,0.31546763,0.32700288,0.3377224,0.34402812,0.33872166,0.31714383,0.28169212,0.24357593,0.21741837,0.21410884,0.23378797,0.26634288,0.2973262,0.3195865,0.33888066,0.37238884,0.43160048,0.5098521,0.5803662,0.6198415,0.62649417,0.62208855,0.626421,0.6400506,0.64406466,0.62142825,0.5688182,0.49935272,0.43010893,0.3756063,0.34067306,0.32362106,0.31896827,0.32204512,0.3292271,0.33707368,0.34382668,0.34925723,0.35462883,0.35941544,0.36311868,0.36559787,0.368248,0.37040496,0.36958513,0.3629289,0.35070047,0.33604872,0.32242945,0.31149507,0.30426157,0.30535507,0.32478917,0.37222114,0.44587716,0.5269765,0.5903525,0.6233511,0.6352196,0.644098,0.65712124,0.66168696,0.63829255,0.5762079,0.4833727,0.38123652,0.29676387,0.2485234,0.23941731,0.25507644,0.27658105,0.2921406,0.30151886,0.30827758,0.31233168,0.3105129,0.3016604,0.29011425,0.28139088,0.2786436,0.28090942,0.28726897,0.2976185,0.31216052,0.32771543,0.33918592,0.34241357,0.3372477,0.32520112,0.30610332,0.2791284,0.24824567,0.2261306,0.22677319,0.25455487,0.2976084,0.33616257,0.35319743,0.3417869,0.3037351,0.24827774,0.19024956,0.14516945,0.121479176,0.1154144,0.11521531,0.11009955,0.09841449,0.08824402,0.09233572,0.117987655,0.16049154,0.2026463,0.22756241,0.23028928,0.22385941,0.22589803,0.24474315,0.26962617,0.2824724,0.27287668,0.25059226,0.23610114,0.24501014,0.27408978,0.30737936,0.32931533,0.33654514,0.33484185,0.32984945,0.31905624,0.2940432,0.24985124,0.19344302,0.14317392,0.11864558,0.12910473,0.16861396,0.22035854,0.26608494,0.29399016,0.30181703,0.29493448,0.28201833,0.27130666,0.2675537,0.27175343,0.28181854,0.29468837,0.3067358,0.31420776,0.31375852,0.30478188,0.288777,0.26820436,0.24438822,0.22345178,0.22071187,0.25834787,0.34639397,0.4669954,0.57719105,0.6361822,0.630728,0.57843757,0.50987643,0.44867706,0.4051797,0.37919268,0.36598226,0.3595535,0.35466072,0.34834102,0.3396168,0.3297247,0.32092583,0.3163036,0.3173376,0.3225869,0.3273264,0.32741237,0.32243857,0.31716016,0.31760526,0.32658684,0.3409785,0.3533359,0.35672358,0.34739375,0.32586062,0.29381582,0.25529966,0.21704109,0.19087206,0.18680441,0.20684765,0.23972309,0.26883385,0.28139958,0.2752786,0.25659496,0.2348399,0.2194245,0.21577288,0.22426985,0.23941581,0.25508302,0.26702714,0.27549803,0.28291824,0.29299453,0.30683663,0.3217245,0.33263493,0.34033307,0.3560734,0.3957558,0.4631602,0.54041576,0.59780115,0.61918306,0.614434,0.6082892,0.6132974,0.619797,0.60602236,0.56109434,0.492651,0.4225982,0.36990047,0.34285915,0.3362347,0.3408296,0.3486685,0.35583428,0.3595498,0.35797217,0.35188437,0.3448647,0.34107962,0.3425888,0.3491001,0.35807952,0.36473334,0.36366832,0.35310876,0.33758917,0.3256204,0.32315806,0.32970154,0.33876714,0.3453946,0.35218403,0.3725036,0.4194664,0.49327743,0.57380074,0.6339169,0.6590393,0.6563739,0.6435935,0.6302169,0.6109256,0.5756013,0.5214026,0.45663837,0.39270273,0.338784,0.29960862,0.2779355,0.27419934,0.28507474,0.30326685,0.3194569,0.32689264,0.32387635,0.31438223,0.304373,0.29820085,0.29576612,0.29350927,0.28801882,0.27966824,0.2742165,0.27772126,0.29166052,0.30877256,0.31983882,0.31952223,0.31141493,0.30189207,0.2950585,0.28912315,0.28039074,0.26752913,0.25475755,0.24921763,0.25613523,0.27329206,0.29251885,0.30398282,0.30305552,0.2903863,0.271271,0.25138292,0.23553102,0.2240383,0.2141204,0.20328994,0.19442087,0.19348693,0.20236242,0.21440339,0.21955203,0.21611667,0.21730608,0.24582325,0.3148305,0.41327667,0.5076778,0.5676885,0.5886497,0.591394,0.5974278,0.60654587,0.601217,0.56592554,0.50486666,0.43605816,0.37923738,0.34311637,0.32682195,0.3238416,0.3287374,0.33750793,0.34755826,0.35558525,0.3593918,0.35856926,0.35517624,0.35127163,0.34767303,0.34359577,0.33791184,0.32998118,0.32028425,0.31052974,0.30330822,0.30072555,0.30257046,0.30581534,0.30611488,0.30107257,0.2923181,0.2847416,0.28382167,0.29189745,0.3075118,0.325419,0.34001577,0.3465381,0.34316477,0.3302447,0.3109903,0.2899259,0.27168894,0.25848654,0.24967647,0.24251938,0.23450546,0.22585332,0.22001283,0.22153485,0.23141605,0.24544694,0.25642923,0.25908148,0.25255552,0.23966457,0.22489935,0.21243525,0.20558189,0.20562477,0.21231681,0.22338788,0.23603809,0.24690688,0.25395063,0.25624725,0.2543158,0.24876137,0.24038385,0.23083806,0.22277129,0.21849553,0.21741684,0.21618408,0.21063392,0.19915587,0.18330175,0.16670795,0.15276092,0.14305048,0.13711475,0.13315307,0.12973364,0.12668042,0.12533982,0.12749912,0.13418236,0.14464405,0.1561734,0.16525857,0.16908683,0.16705203,0.16044682,0.15149324,0.14184332,0.13250767,0.12429995,0.119285166,0.12106556,0.13436611,0.16130154,0.19878598,0.2376082,0.26809475,0.28489375,0.28964782,0.28727606,0.2825971,0.2782636,0.27530745,0.27376127,0.273008,0.2721069,0.2701974,0.26663563,0.26152837,0.25556925,0.2502395,0.24666643,0.24547963,0.24640942,0.24922676,0.2540886,0.26204142,0.27422568,0.29080608,0.30966422,0.32652855,0.33692136,0.33841574,0.33229777,0.32144392,0.30862752,0.29422274,0.27845374,0.26212204,0.24796037,0.23840855,0.23460197,0.23534884,0.23818482,0.24069351,0.24131535,0.23976533,0.2363006,0.23226307,0.2290886,0.22833955,0.22976083,0.23211177,0.23335272,0.2329847,0.23166156,0.23116541,0.23240034,0.2352442,0.23848027,0.24119411,0.24321581,0.2449825,0.24659221,0.24737841,0.24605821,0.24165797,0.2340228,0.22454374,0.21574861,0.21119867,0.2140047,0.2257309,0.24429972,0.26392737,0.27695003,0.27901897,0.27248582,0.26608413,0.2684574,0.282621,0.3029057,0.31916812,0.32204387,0.30978873,0.28888857,0.2709687,0.2641755,0.26928172,0.27996108,0.29020223,0.29736495,0.30344462,0.30986392,0.31667826,0.3213879,0.32253847,0.31969333,0.31447765,0.30833253,0.30240723,0.29675636,0.29153278,0.28707057,0.28322625,0.2786057,0.2714077,0.26275888,0.25752774,0.26134643,0.27396664,0.2878907,0.29357815,0.28811157,0.27604768,0.26323012,0.24988212,0.23303127,0.21329111,0.19820623,0.19734131,0.2139013,0.24209578,0.27011752,0.28901735,0.2961862,0.2946041,0.28643247,0.27091047,0.24706598,0.21803284,0.19174103,0.17488684,0.16778977,0.16328989,0.15442216,0.14202139,0.13818659,0.16149223,0.22775513,0.3390006,0.47502837,0.5982713,0.67051536,0.6756193,0.62412024,0.5443063,0.4626014,0.39517042,0.34589982,0.31271884,0.29228836,0.2822608,0.2804222,0.28279617,0.28527084,0.285082,0.2827674,0.2804093,0.28015938,0.28215703,0.28480372,0.2865178,0.28778556,0.29103532,0.29647934,0.29934445,0.29141507,0.2688068,0.2364781,0.20657784,0.19096906,0.19564456,0.21778421,0.24609248,0.2650952,0.26566732,0.25292048,0.24370109,0.25054023,0.27101514,0.28991473,0.29596135,0.2893423,0.27872476,0.26808682,0.2549777,0.23658739,0.21934386,0.21681209,0.23766704,0.27572814,0.3113054,0.3267981,0.31895307,0.302261,0.30030027,0.33297753,0.40422514,0.49394855,0.5696663,0.6080549,0.6148508,0.613395,0.62034184,0.62818795,0.6166152,0.57395023,0.50759643,0.43816364,0.38368118,0.3521655,0.3394686,0.33774415,0.34069195,0.3462654,0.3524011,0.35445598,0.34767744,0.331506,0.31100872,0.29323688,0.28289446,0.2810627,0.2849758,0.2903171,0.29328582,0.2945318,0.30021092,0.31668177,0.34397182,0.37143305,0.38791808,0.39284658,0.40274915,0.4373075,0.50018185,0.5702366,0.61566645,0.6213262,0.6000593,0.5814732,0.5822485,0.59464747,0.59455407,0.56651545,0.5127061,0.44897863,0.38926265,0.34040847,0.30328804,0.2796701,0.27358207,0.28651172,0.31143036,0.33219382,0.33411908,0.3147063,0.28648973,0.26619837,0.26173237,0.2673792,0.2718483,0.2701788,0.2690601,0.2790536,0.3032627,0.33132422,0.34793735,0.34465745,0.32749093,0.309598,0.29987675,0.29479626,0.285454,0.26811317,0.25117406,0.24617517,0.2569324,0.27300355,0.27854237,0.26443297,0.23588973,0.20777567,0.19363874,0.19852914,0.217363,0.24029958,0.25716102,0.26484883,0.26742637,0.27311978,0.28426942,0.2957996,0.2996025,0.29510868,0.29326412,0.3120943,0.36248899,0.43632245,0.5071103,0.5509655,0.56532353,0.5706744,0.5853415,0.6071329,0.6144385,0.5908026,0.5394642,0.48043492,0.4324404,0.40286258,0.38841856,0.38348767,0.3842113,0.38792634,0.39029416,0.3855233,0.36990285,0.34461752,0.31567228,0.29064205,0.2759135,0.27477506,0.2852519,0.30119166,0.31419948,0.3213048,0.3245163,0.32998613,0.33891436,0.3487676,0.3547696,0.3569688,0.35842943,0.36209178,0.36678615,0.3704324,0.37414408,0.3860921,0.41541767,0.46663103,0.52933264,0.58402306,0.60823375,0.59369016,0.54664135,0.4859815,0.4287083,0.38457993,0.35398647,0.3341782,0.32360974,0.32123163,0.3242916,0.32678315,0.32514438,0.32098255,0.3211361,0.3305336,0.3473656,0.36384633,0.37255073,0.37367544,0.3733265,0.37746525,0.38370812,0.38316807,0.3672011,0.33537066,0.2968236,0.2648403,0.2500079,0.25397915,0.26985827,0.28637052,0.29626384,0.30072188,0.3064648,0.31683347,0.32585874,0.32323003,0.30460057,0.2776315,0.2538226,0.23842914,0.22595184,0.21108234,0.19612539,0.19190125,0.2065229,0.23866446,0.27730057,0.30824044,0.3225213,0.32190168,0.3208648,0.33985862,0.39261055,0.47268823,0.55364215,0.6050677,0.6177414,0.60885024,0.60787565,0.6264729,0.65298015,0.6618848,0.63982725,0.58979255,0.5281625,0.46845397,0.41950858,0.38358334,0.3634487,0.3596661,0.37036058,0.3869392,0.39875373,0.398316,0.387251,0.37399805,0.36760953,0.3706299,0.37905303,0.3858256,0.3875098,0.3842156,0.3791839,0.37387094,0.36932242,0.3651816,0.3625573,0.36377057,0.3744439,0.4023243,0.45100757,0.5136327,0.5721917,0.61086106,0.6266841,0.62997764,0.6297385,0.6242741,0.60310745,0.5599851,0.49850953,0.43195042,0.37295356,0.32965168,0.30229357,0.28834566,0.28500423,0.29157674,0.3075961,0.33015373,0.3522859,0.36536777,0.36449882,0.3533807,0.34094372,0.33519545,0.33725083,0.3454704,0.3585886,0.3767765,0.39630458,0.40926805,0.40795395,0.38984546,0.3572946,0.3142968,0.26622638,0.22107965,0.18724294,0.16787708,0.15836461,0.1521584,0.14797425,0.15149751,0.16758592,0.1938168,0.2200348,0.23638801,0.23918706,0.23118998,0.2164917,0.19670703,0.17244619,0.1463277,0.12484649,0.11373172,0.11368647,0.1182737,0.119614206,0.11539873,0.1149909,0.13838774,0.20545304,0.3180034,0.4493808,0.55693954,0.61280483,0.6229246,0.61637026,0.6140433,0.6126571,0.5938992,0.5474528,0.48124847,0.41514906,0.365049,0.3333652,0.31160793,0.2922475,0.2780973,0.27794304,0.29581586,0.3222209,0.34147927,0.3413675,0.32445613,0.30761442,0.3164282,0.36658624,0.4486939,0.52692,0.5626989,0.54027516,0.47614753,0.40261397,0.3468497,0.3179532,0.3119392,0.32261658,0.3512356,0.40045798,0.46418858,0.52193934,0.554465,0.56069946,0.5602412,0.5720572,0.594331,0.60540724,0.58430237,0.5281725,0.45324984,0.38281608,0.3350987,0.31643206,0.3212644,0.33798608,0.35591808,0.36934647,0.37624708,0.37635496,0.3704855,0.3599571,0.34616268,0.3305122,0.31667936,0.30977562,0.31325814,0.32470238,0.33749536,0.3452972,0.3465424,0.34346208,0.3395735,0.33639053,0.33280206,0.32460412,0.30613205,0.274499,0.23424238,0.19936265,0.18456145,0.1963308,0.22631343,0.26075414,0.28919545,0.3112422,0.33008468,0.34642088,0.35508242,0.34862843,0.3237922,0.28426772,0.23984103,0.1994371,0.16779761,0.14579259,0.1363008,0.14470209,0.17376523,0.21554802,0.25239822,0.26570395,0.24765198,0.20472683,0.15410021,0.114018835,0.09591789,0.10070005,0.12210246,0.15259765,0.18649548,0.2188227,0.24311961,0.25327837,0.24680252,0.22678666,0.20096911,0.17967981,0.17556655,0.19742583,0.24520095,0.3034372,0.35195816,0.3760036,0.3769118,0.36440626,0.34948525,0.33851364,0.33528078,0.34157133,0.35532364,0.37114695,0.38228023,0.38538954,0.380608,0.37169114,0.36416686,0.36631334,0.3879347,0.4365096,0.5083835,0.58506817,0.64027786,0.65917283,0.64838195,0.62883973,0.6140859,0.5991399,0.5690302,0.5147678,0.44465375,0.3764557,0.32801068,0.30387685,0.2971913,0.29535854,0.29209325,0.2895806,0.292878,0.30158976,0.3085873,0.30695096,0.29680207,0.2855787,0.2816732,0.2869706,0.29654297,0.30304095,0.3055509,0.30872902,0.31861278,0.3329855,0.34367743,0.34216723,0.32776043,0.3072201,0.2896125,0.2805371,0.27763245,0.27309293,0.25944832,0.23795585,0.21818222,0.20926511,0.20975143,0.20811774,0.19442074,0.17163014,0.15428935,0.15782882,0.18597944,0.22985967,0.2725713,0.30078378,0.30943987,0.30369905,0.29242742,0.2838489,0.28201142,0.28921542,0.30876517,0.34690127,0.4073483,0.4823935,0.5516077,0.59314513,0.60410506,0.6006294,0.6037552,0.6148401,0.61755985,0.593294,0.5397915,0.47119078,0.40571138,0.35638222,0.32722202,0.3172718,0.3220241,0.33531034,0.3491602,0.35545412,0.34903458,0.33066878,0.3068254,0.28628907,0.27615067,0.28091988,0.30060396,0.33089402,0.3619474,0.38505042,0.39592442,0.3982536,0.39728954,0.39643732,0.39422345,0.38823232,0.37775406,0.36566624,0.35596395,0.35253167,0.35869423,0.37958384,0.4199569,0.47909132,0.54532593,0.59815115,0.61920947,0.60164136,0.5551299,0.49720004,0.4458408,0.40871903,0.38548803,0.36960414,0.35806242,0.3507363,0.3507955,0.35729814,0.36680332,0.37357414,0.37617943,0.37615618,0.37709093,0.37923527,0.38072607,0.3795446,0.3771176,0.3764561,0.3781995,0.37872314,0.3722709,0.35656178,0.3329928,0.3055335,0.27693942,0.2512761,0.23317409,0.22692798,0.23099078,0.2401271,0.24885254,0.25646874,0.26412103,0.27175006,0.27643007,0.27530536,0.26881778,0.25999883,0.2522012,0.24531798,0.23839293,0.23217422,0.23177947,0.24158217,0.26109707,0.2832383,0.2992601,0.30483213,0.30448624,0.31263813,0.34506008,0.40705013,0.4835373,0.5487405,0.5859483,0.6008494,0.6132481,0.6345556,0.6573046,0.6611226,0.63227385,0.57319206,0.5012223,0.4361303,0.39096653,0.36802876,0.363584,0.37116262,0.3847591,0.39689124,0.40179667,0.3969235,0.3867259,0.37755117,0.374704,0.37656188,0.3785996,0.37494576,0.36496222,0.35147393,0.34013855,0.33387646,0.33218017,0.33096692,0.32624438,0.31878957,0.3177254,0.33914542,0.39355627,0.4743615,0.55626297,0.61400914,0.64035195,0.64701843,0.6473751,0.6414271,0.6197522,0.5762902,0.516084,0.45114505,0.39262566,0.3469393,0.3151314,0.29533622,0.2846738,0.2814131,0.28440306,0.292546,0.30340436,0.31394532,0.32106194,0.32295683,0.32000422,0.31377742,0.30678695,0.3010107,0.29951444,0.30466703,0.31557906,0.32508647,0.32234356,0.30104852,0.26416394,0.22224629,0.18528269,0.1581378,0.14124024,0.1325413,0.1299674,0.1307476,0.13442977,0.1415693,0.15384535,0.17001808,0.186764,0.19909073,0.20358276,0.19865377,0.18533021,0.16572136,0.14348732,0.122862995,0.10924447,0.105567165,0.11059719,0.11749458,0.11963645,0.11574206,0.11513006,0.13489354,0.19256012,0.2904623,0.40879968,0.51233023,0.57689667,0.6045541,0.61721045,0.6294779,0.63513726,0.61647016,0.564834,0.4892874,0.4081358,0.3357159,0.27628866,0.22901599,0.19549853,0.18411203,0.20066524,0.2411964,0.28698745,0.31959975,0.32998946,0.32747594,0.33078948,0.36062333,0.4238054,0.5061672,0.5746135,0.5983313,0.5689109,0.50400335,0.43042335,0.36435094,0.30719993,0.25595784,0.21862753,0.21560676,0.26621783,0.36555138,0.48045698,0.5668244,0.60428315,0.6041482,0.59567124,0.5929597,0.58912534,0.5662656,0.51775706,0.45246625,0.38823977,0.33975026,0.31250384,0.30306765,0.30330545,0.30516574,0.30465582,0.30144104,0.29749253,0.292999,0.28760707,0.2811308,0.27638397,0.27533552,0.27599964,0.27075234,0.25217193,0.21956863,0.18194015,0.15373243,0.14742696,0.16654712,0.20390062,0.24487351,0.2762029,0.2920358,0.29533494,0.2921654,0.2871932,0.28170973,0.2749796,0.2655474,0.25218183,0.2357683,0.21961872,0.20895076,0.20735542,0.21558858,0.23078148,0.24843366,0.26257214,0.26717404,0.2583193,0.23837703,0.21758969,0.20838661,0.21600269,0.23204426,0.24059643,0.23088586,0.2071104,0.18597148,0.1831414,0.20137626,0.22679134,0.2405229,0.23231874,0.20983194,0.19114791,0.19112855,0.20935601,0.23373227,0.25102744,0.25803086,0.25955036,0.26270294,0.26904514,0.2763579,0.28084186,0.28217295,0.28256032,0.28566322,0.2924391,0.30012047,0.30338207,0.29901937,0.2883577,0.27563834,0.26238522,0.24536683,0.21968,0.18531251,0.14934225,0.122399636,0.1131104,0.12364719,0.14966716,0.18160729,0.21031193,0.23110299,0.24609573,0.25993183,0.2754831,0.29091358,0.3023732,0.3068169,0.3051221,0.30060574,0.29742286,0.2974899,0.30068257,0.30530664,0.30966887,0.31251058,0.31319448,0.3118931,0.30945554,0.30716315,0.30586648,0.3055803,0.3055985,0.30517152,0.30404678,0.30238125,0.3004932,0.29861954,0.29724598,0.29705396,0.29880485,0.30254093,0.30742517,0.31181797,0.3143625,0.31470335,0.31376687,0.31271967,0.31202465,0.31112692,0.30946067,0.30731717,0.30577537,0.3056374,0.30650824,0.30718288,0.30674303,0.3055205,0.304521,0.3041842,0.3036709,0.3018314,0.2987206,0.2959434,0.29525676,0.29707295,0.30024543,0.30322358,0.30492213,0.3050805,0.30413958,0.30313507,0.30317283,0.30463362,0.30708054,0.30971572,0.31209484,0.31375232,0.3138781,0.311514,0.30663505,0.30074286,0.29599202,0.29388538,0.2941972,0.29572472,0.29705036,0.29752088,0.29667258,0.2943069,0.2904059,0.28610492,0.2830241,0.28255686,0.28456378,0.287913,0.29090893,0.29242027,0.292111,0.29090264,0.29005417,0.29039094,0.29148972,0.29244366,0.2926372,0.29227278,0.29192045,0.2917194,0.29120257,0.28937766,0.2854707,0.2788473,0.26868325,0.25408512,0.23505688,0.21554732,0.20270114,0.203938,0.21931565,0.24049556,0.25483105,0.25452772,0.24127944,0.2238648,0.21187948,0.20852847,0.20983653,0.20789272,0.19857079,0.18498993,0.17654015,0.18174732,0.2026603,0.23222648,0.25967553,0.2762799,0.27980542,0.2714412,0.25296798,0.22599167,0.19542466,0.17057492,0.16146587,0.17258097,0.19909574,0.22892654,0.24833238,0.24856223,0.22978795,0.20159471,0.17854969,0.17226727,0.18414308,0.20347285,0.21452498,0.20636791,0.17975493,0.14456016,0.11245444,0.090233386,0.07946222,0.08056021,0.096310854,0.12933911,0.17682885,0.22755305,0.26803604,0.29036883,0.29628983,0.29191032,0.28118756,0.26291856,0.23455721,0.19719987,0.15886454,0.13114305,0.12302611,0.13316435,0.14976968,0.15781486,0.15127671,0.13881208,0.1368297,0.15591876,0.19120254,0.22719328,0.24876179,0.2509685,0.23826505,0.21913673,0.20004271,0.18374641,0.17050417,0.16024266,0.1534147,0.14987415,0.14725591,0.141504,0.12961967,0.11261337,0.095011234,0.082266085,0.077549666,0.08115545,0.08964289,0.0976263,0.099485,0.09452736,0.08613213,0.07936037,0.07488429,0.07051578,0.06425381,0.05876835,0.06047745,0.07568777,0.10567144,0.14328277,0.17567353,0.19013433,0.18177532,0.15499888,0.120767295,0.089919604,0.06883298,0.058049545,0.054658785,0.055386398,0.058241308,0.06222893,0.06609937,0.06828334,0.067586474,0.0642665,0.059687797,0.055366497,0.051904306,0.049071122,0.046392858,0.043767165,0.041499943,0.039984554,0.039367996,0.03938405,0.039585575,0.03955035,0.039158795,0.038455557,0.03762505,0.0367652,0.03594121,0.0351351,0.034395352,0.033842683,0.033658493,0.033941753,0.034683567,0.03574598,0.03696763,0.038094867,0.038971692,0.03955269,0.040143833,0.041220885,0.043466818,0.047552142,0.053953875,0.062343214,0.07124723,0.07832814,0.08167133,0.08173066,0.0830489,0.094088964,0.12296831,0.17095263,0.22877032,0.2809358,0.31514478,0.32887688,0.32830474,0.3220888,0.31605121,0.31200087,0.30867827,0.30362377,0.29276478,0.27189222,0.23859262,0.19706614,0.15821862,0.1362076,0.13985062,0.16790803,0.20847555,0.24622136,0.2690629,0.2730019,0.26007116,0.236771,0.21213263,0.197132,0.1990614,0.2167104,0.2394451,0.2546518,0.25647444,0.24873064,0.2411207,0.24005985,0.24484837,0.24731068,0.23993325,0.22245413,0.20802806,0.2199918,0.27928355,0.38526592,0.5065271,0.5957549,0.62033486,0.5837632,0.51794875,0.4583646,0.42313662,0.41146168,0.41212237,0.41437247,0.4124216,0.4060862,0.39759305,0.388191,0.37692365,0.36178517,0.34359524,0.32759887,0.3213991,0.32813016,0.34257507,0.3541753,0.35620686,0.3504103,0.34474632,0.345414,0.35362136,0.3657775,0.37614474,0.3778762,0.36396575,0.3306264,0.2812224,0.22840047,0.1905,0.18118435,0.20120549,0.2356211,0.26465967,0.2734575,0.2616207,0.23941661,0.22334874,0.22205926,0.23177351,0.2355845,0.22051978,0.18813986,0.15729599,0.14891241,0.1723109,0.21993457,0.27408502,0.31942487,0.3518544,0.38064656,0.4183927,0.46716604,0.51411587,0.54217285,0.55036736,0.55320567,0.56680244,0.5860751,0.59063435,0.5602396,0.49427888,0.40984356,0.33264884,0.28240845,0.26594254,0.2745341,0.29383847,0.3118266,0.3254278,0.3348174,0.3407627,0.34260604,0.34098598,0.33771428,0.3347883,0.3334613,0.3338432,0.3354673,0.33740494,0.3386841,0.33736,0.33131698,0.3201961,0.30805972,0.30165112,0.30736113,0.32911524,0.3696784,0.42738876,0.49172235,0.5436368,0.56910366,0.5717775,0.56922275,0.57495195,0.5841024,0.58175015,0.55816764,0.5190954,0.477224,0.44287553,0.4181898,0.40111396,0.38872662,0.37976685,0.37408158,0.37215766,0.374136,0.37910935,0.38507092,0.38941905,0.39043307,0.38808942,0.3843167,0.3816088,0.38161957,0.3843365,0.3880335,0.39005256,0.38731804,0.37768534,0.35942972,0.33129105,0.2924369,0.2455377,0.19749232,0.15720327,0.13012438,0.11714935,0.11792783,0.1344499,0.16920127,0.21916413,0.2742871,0.32127598,0.35249412,0.36835822,0.37628642,0.38330868,0.39299282,0.403769,0.4121718,0.41530952,0.41233,0.40396014,0.39064017,0.37237015,0.35006717,0.32973447,0.32422093,0.34736803,0.4021115,0.47132692,0.52804685,0.5550227,0.5596613,0.5606957,0.56811756,0.5716062,0.55598575,0.5164788,0.4644722,0.4153709,0.3789104,0.3551681,0.3393031,0.32734743,0.31972274,0.31917775,0.32572082,0.3331848,0.3322483,0.3155533,0.28382456,0.24704851,0.22199754,0.22169095,0.24575476,0.2780089,0.2968129,0.28868946,0.25524253,0.21085173,0.17272115,0.15318228,0.15464579,0.17391479,0.20581017,0.24604256,0.28789154,0.32412776,0.3520436,0.37976742,0.41999292,0.47796795,0.5419128,0.58959454,0.60315603,0.57993007,0.53237224,0.47762898,0.43068412,0.397518,0.37846985,0.36797175,0.36210787,0.35750186,0.3553281,0.35583362,0.35994253,0.36527517,0.36971965,0.37016582,0.36572322,0.35609388,0.34381795,0.33237106,0.32654133,0.3258753,0.32390034,0.3087388,0.27467266,0.22634876,0.17755842,0.13981509,0.116804354,0.10489818,0.098871626,0.095564365,0.09412024,0.0948476,0.097238906,0.09970599,0.10000011,0.09738537,0.09278672,0.08806198,0.08395139,0.08020917,0.0763564,0.07324394,0.07311514,0.07887018,0.091456205,0.10824653,0.1232116,0.13089782,0.13086812,0.13171993,0.15095417,0.20743632,0.3059169,0.4250028,0.525939,0.5804384,0.59345245,0.59347385,0.6017883,0.61154884,0.59969753,0.5525882,0.47856107,0.39895177,0.33152574,0.28385937,0.25537613,0.24391775,0.24802756,0.26395246,0.28290245,0.2914806,0.28216752,0.25821528,0.23289491,0.21710062,0.21355677,0.21729185,0.22272186,0.22736464,0.231534,0.23665418,0.2439503,0.25442502,0.26808614,0.28324583,0.29770997,0.31209326,0.3332535,0.36971536,0.42202067,0.47671008,0.5156506,0.5333615,0.54147905,0.5553651,0.57448,0.58241075,0.56204,0.51150185,0.44419885,0.37774482,0.32436416,0.28777754,0.26634964,0.25610378,0.25294796,0.2531335,0.25367978,0.2527951,0.25029185,0.24709396,0.24434803,0.24223544,0.2398972,0.23594248,0.22977303,0.22212209,0.2148,0.20962924,0.20742923,0.20804496,0.21048962,0.21393965,0.21747439,0.22052157,0.22230774,0.22274439,0.22255915,0.22366239,0.22809331,0.23726444,0.25169563,0.2707061,0.29181898,0.30951175,0.31732464,0.31085753,0.29141876,0.26432034,0.23570949,0.20922232,0.1863591,0.16816215,0.15546036,0.1483478,0.14510699,0.1438753,0.1432035,0.1427138,0.14178605,0.14014012,0.1381076,0.13708693,0.1381224,0.1412581,0.14545764,0.1496346,0.15278798,0.15424006,0.15356185,0.15119956,0.147938,0.14481537,0.14227027,0.14081137,0.14035624,0.14058594,0.14041163,0.1392998,0.1376762,0.13690685,0.1378274,0.1397692,0.14142127,0.14214712,0.14417298,0.15131296,0.16770901,0.19244699,0.22030872,0.24246334,0.25412402,0.2537639,0.24438089,0.22902046,0.21396102,0.20558174,0.20920439,0.22326507,0.24224846,0.2594207,0.2715856,0.2773165,0.27616286,0.2678304,0.25371534,0.2366025,0.2198701,0.2066017,0.20001902,0.20238657,0.21390045,0.2316113,0.25100288,0.26710644,0.27548435,0.2734466,0.26174042,0.24493368,0.22820298,0.2147486,0.2048614,0.19850464,0.19510174,0.19320069,0.18913312,0.18066438,0.17006451,0.16539021,0.1752925,0.20182794,0.23666811,0.26445973,0.27236858,0.25767046,0.22910511,0.20073642,0.18333666,0.17948411,0.18395554,0.18992192,0.1938131,0.19672446,0.20076989,0.20522249,0.20699497,0.20395987,0.19965197,0.20053925,0.21115728,0.22719313,0.23935924,0.23895146,0.22636348,0.20750147,0.19010668,0.17530756,0.1609807,0.14449628,0.13090402,0.12920088,0.14715691,0.18229015,0.22385423,0.25898552,0.28090104,0.28997126,0.29016206,0.28418252,0.27143076,0.25036755,0.22246094,0.19505423,0.17774646,0.17600761,0.18589972,0.19716401,0.2000608,0.19130461,0.17420758,0.15495886,0.13921452,0.12917331,0.12399972,0.12138027,0.121473014,0.12894726,0.14933969,0.18407007,0.225644,0.263895,0.2909497,0.30653715,0.31295466,0.3127435,0.30665743,0.29578772,0.28179836,0.2652397,0.24574761,0.22295918,0.2013917,0.18889706,0.1927886,0.21200688,0.2372572,0.25681183,0.2641656,0.2603518,0.2501016,0.2375858,0.22438557,0.21083938,0.19768833,0.18667454,0.1801575,0.1799587,0.1861676,0.19569923,0.20235015,0.19924273,0.18418658,0.16355307,0.15068483,0.15628606,0.17914115,0.2046452,0.216487,0.2093487,0.19350201,0.1843941,0.19057564,0.20806606,0.22692186,0.23901705,0.24189799,0.23617685,0.22325361,0.20591469,0.19047856,0.186489,0.20074289,0.23161584,0.26750413,0.29424024,0.30253732,0.29154506,0.2661406,0.23305227,0.1987791,0.16740726,0.14108655,0.12042323,0.10708239,0.10256662,0.106855355,0.11649964,0.12656571,0.13309605,0.13664633,0.14287741,0.15971573,0.18937154,0.22353788,0.2476833,0.25406873,0.24847038,0.24354921,0.24521095,0.24877779,0.247491,0.24113972,0.2352422,0.23198886,0.22814082,0.2185899,0.20515446,0.19542076,0.19880725,0.2183312,0.24962099,0.2817367,0.30230737,0.30205706,0.27904475,0.23931845,0.1940747,0.15496188,0.13092051,0.12569302,0.13804293,0.16143407,0.18709598,0.20550358,0.21130736,0.2061423,0.20001833,0.20339857,0.21850814,0.23553896,0.24283056,0.23758799,0.23013066,0.23276807,0.24908471,0.26915053,0.2791141,0.27155995,0.2509028,0.2276762,0.21036501,0.2014342,0.19954161,0.20350929,0.21300364,0.22656374,0.24087445,0.25195292,0.25776705,0.2570255,0.24874401,0.23208052,0.21046112,0.19120644,0.1813634,0.1811624,0.18497156,0.18782312,0.1904967,0.19528328,0.20000875,0.19701177,0.18203408,0.15953486,0.14229937,0.14247347,0.16464221,0.2024436,0.2413454,0.26660362,0.27103958,0.25970128,0.24460644,0.23693997,0.23848242,0.24326931,0.24261118,0.23239629,0.21296196,0.18749298,0.16059513,0.13845615,0.12802924,0.13388532,0.15686786,0.19293357,0.23385008,0.26944777,0.2920417,0.3001183,0.29685608,0.28686884,0.27254772,0.25422204,0.23069386,0.20151322,0.1681221,0.13433197,0.10476435,0.083068036,0.07057319,0.065824606,0.0653869,0.0667307,0.07078523,0.081614636,0.100747764,0.123969756,0.14399946,0.15841937,0.17250353,0.19169708,0.21429436,0.22882088,0.22551216,0.20314641,0.17279844,0.14680265,0.13160296,0.124407746,0.12215764,0.12660186,0.14316614,0.17100905,0.19959915,0.2132557,0.20337385,0.17459752,0.14308788,0.124878965,0.12657142,0.14215617,0.1609333,0.17516315,0.18325646,0.1857766,0.1825885,0.17428793,0.16529705,0.16370791,0.17678702,0.20543891,0.24314572,0.27783588,0.2982714,0.2974578,0.27635676,0.24196821,0.20517366,0.17492032,0.15580684,0.14743455,0.14786132,0.15491368,0.16686714,0.1810693,0.19499165,0.20632897,0.21393275,0.21684015,0.21455847,0.20661257,0.19307749,0.17488246,0.15425934,0.13400178,0.11565732,0.09928614,0.08508802,0.077123605,0.08225971,0.107247986,0.15104657,0.20453759,0.25159624,0.27837095,0.27723476,0.25027534,0.20607412,0.15649621,0.112516165,0.0805843,0.061609503,0.051748436,0.046262562,0.041816786,0.037542257,0.033813965,0.031189881,0.029750777,0.029182313,0.029093675,0.029185968,0.029725758,0.03244203,0.04127047,0.06111191,0.09369912,0.13461025,0.17412789,0.20365168,0.22001804,0.22604549,0.22629066,0.22429407,0.2218468,0.21934134,0.21683627,0.21395814,0.211865,0.21185273,0.21563761,0.22223008,0.22941653,0.23405433,0.23514466,0.23473997,0.23644267,0.24325669,0.2532176,0.26178268,0.26365426,0.25828597,0.24881977,0.2403903,0.23640074,0.23676217,0.23934823,0.24166916,0.24442536,0.2492414,0.2582089,0.27217427,0.29628578,0.33918926,0.4065329,0.48793498,0.55684185,0.5852851,0.5638545,0.5066785,0.43987218,0.38488117,0.35054395,0.33449078,0.32916752,0.32706833,0.3239405,0.31938827,0.3152255,0.3131647,0.31316534,0.31353715,0.3120246,0.30689216,0.29838595,0.28886724,0.28267816,0.28311875,0.29017684,0.29949906,0.30495706,0.30293226,0.29408213,0.2824135,0.27083206,0.26000154,0.2488394,0.23740417,0.22683324,0.2184596,0.21301039,0.21055748,0.21097367,0.2128297,0.21440117,0.21398361,0.2117095,0.20836459,0.20492554,0.20187272,0.19973238,0.19946057,0.2013308,0.20490819,0.20825692,0.20968764,0.20768718,0.20250486,0.1969198,0.19934927,0.22398584,0.28415784,0.37862253,0.4842557,0.5667346,0.6061694,0.61071414,0.6061299,0.60800713,0.60979575,0.5922001,0.54517686,0.47677907,0.40705904,0.353598,0.32248533,0.3092437,0.3060523,0.3087313,0.31592166,0.32552877,0.3321593,0.33139315,0.32304123,0.31170055,0.30286723,0.30049238,0.3058064,0.31701967,0.32965174,0.33872318,0.34204963,0.34137985,0.3399031,0.33892298,0.33754566,0.3361763,0.34087196,0.3628849,0.41095424,0.4800879,0.54916364,0.5938558,0.6064958,0.6008354,0.5960447,0.5955809,0.58484566,0.5488483,0.487993,0.4191647,0.3608764,0.32334256,0.30513927,0.2996237,0.2998133,0.30170164,0.30405638,0.3068144,0.31000853,0.31309867,0.31590354,0.31857717,0.3216994,0.32493016,0.32723615,0.32750165,0.32656786,0.32726815,0.33191004,0.33897388,0.342103,0.33514142,0.316537,0.291496,0.2668644,0.24775468,0.23546243,0.22993231,0.23047437,0.23621565,0.24523042,0.25465497,0.26099277,0.26092997,0.2525727,0.23715115,0.21983035,0.2081642,0.2077248,0.21817987,0.23295915,0.24376677,0.24613918,0.24188857,0.23651725,0.23456031,0.23658723,0.24135888,0.25060952,0.27328035,0.32150903,0.39901045,0.49022934,0.56490594,0.60014147,0.5994546,0.58794576,0.5860085,0.58930707,0.5769289,0.5339442,0.46695372,0.3956736,0.3388566,0.3036035,0.28848916,0.28821462,0.29846868,0.31435183,0.3298345,0.33776018,0.33505252,0.32434455,0.31263188,0.30500022,0.3023163,0.3023385,0.30333957,0.30543062,0.30947408,0.31559244,0.32265565,0.3289487,0.33292246,0.33364698,0.33141834,0.32793906,0.32572344,0.3263887,0.3294934,0.33421478,0.34286895,0.36385933,0.40677357,0.47283712,0.5468676,0.6031797,0.6210112,0.59709406,0.5451392,0.4842147,0.429544,0.38813457,0.3613263,0.34654626,0.34006408,0.3381263,0.33776942,0.3374513,0.33615136,0.33444187,0.3323579,0.33096945,0.32942894,0.32786265,0.32553563,0.3243842,0.32567453,0.3290681,0.32935724,0.31951427,0.29629207,0.26361158,0.2310918,0.20658211,0.19251561,0.18520546,0.180119,0.17494597,0.17131007,0.17211819,0.1786383,0.18877977,0.19817369,0.20341934,0.20352183,0.19974302,0.19342905,0.18549103,0.17682923,0.16891341,0.16359323,0.1619427,0.16385703,0.16773652,0.17151584,0.1736378,0.17436324,0.17739163,0.19177137,0.2309254,0.3036114,0.40099764,0.4954001,0.557275,0.58083826,0.5851242,0.59491235,0.6134503,0.6249734,0.61085963,0.5683355,0.50878423,0.44829607,0.39892402,0.36571026,0.34829298,0.34268656,0.34402597,0.34721994,0.34773955,0.34248447,0.33113396,0.31517604,0.29730484,0.28098962,0.27200237,0.27511275,0.29040575,0.311252,0.32940844,0.3406081,0.34601238,0.34909752,0.35182968,0.3552157,0.36215553,0.38060573,0.42018726,0.482651,0.5550948,0.6146195,0.647321,0.6580178,0.66452616,0.6739958,0.6751365,0.64702696,0.58233696,0.49328575,0.40425166,0.33407244,0.2899089,0.26748213,0.25872615,0.25560823,0.25323144,0.24936323,0.24426572,0.23951639,0.23707044,0.23767209,0.2402894,0.24272875,0.24339543,0.24294092,0.24453318,0.25309625,0.27066848,0.29259768,0.30585822,0.29768077,0.2645872,0.21707527,0.17105354,0.13779557,0.11871753,0.10944378,0.105344325,0.104166776,0.1054953,0.10889083,0.11325901,0.11667198,0.11797065,0.117567845,0.117420875,0.119184725,0.12288511,0.12728395,0.13130485,0.13564527,0.14215957,0.15279369,0.16708155,0.18238993,0.19454557,0.2011323,0.20400976,0.21197109,0.2403692,0.30232987,0.39655137,0.5000907,0.58150417,0.6233533,0.6334862,0.6328456,0.6317012,0.62198144,0.5885268,0.5267853,0.44873846,0.37381396,0.31849498,0.28803682,0.27921435,0.2841432,0.29651728,0.3113601,0.32396293,0.3289572,0.32361054,0.31136194,0.30251727,0.31242228,0.35245827,0.4211278,0.49635562,0.54702646,0.5507458,0.5099018,0.44533077,0.38129368,0.33106402,0.29712832,0.277823,0.27610743,0.30068028,0.3572519,0.43712792,0.51472586,0.5649363,0.5824039,0.58380336,0.5881987,0.59654754,0.59393054,0.5659067,0.51361924,0.45140693,0.3959968,0.35766184,0.3374814,0.3308195,0.33043084,0.33093625,0.3301663,0.3295648,0.3311695,0.3352138,0.33880773,0.33823252,0.331785,0.3218393,0.31343594,0.31126416,0.31707004,0.3291272,0.34295562,0.3523554,0.35190174,0.34016132,0.32156768,0.3029276,0.2890283,0.2789475,0.2693468,0.25704524,0.24346109,0.2328387,0.23021953,0.23604149,0.24556307,0.25193787,0.2518964,0.24799436,0.24537458,0.2472211,0.25205088,0.25622383,0.25715816,0.25577244,0.2547619,0.25590685,0.2583648,0.25949726,0.2575612,0.25351894,0.25344083,0.2681714,0.30965745,0.38012812,0.464967,0.53762054,0.5795408,0.5936095,0.5984947,0.6056829,0.6082857,0.5890448,0.54131126,0.47560012,0.41233972,0.36692408,0.34370056,0.33810377,0.34209213,0.34981105,0.35697603,0.36152828,0.36066282,0.35440627,0.34487772,0.33640847,0.33120024,0.32948318,0.33033732,0.33351776,0.33791706,0.34200335,0.34401512,0.34466633,0.34554732,0.34821787,0.35174847,0.35515866,0.36105916,0.37815806,0.41438925,0.46563396,0.5121326,0.5328875,0.5256354,0.5092281,0.5036986,0.50827813,0.50358176,0.47319746,0.4208546,0.36653456,0.32861164,0.31313288,0.31396198,0.3218594,0.3292924,0.3333478,0.33378622,0.3321707,0.3295759,0.32663026,0.32316235,0.31916878,0.31454802,0.30969858,0.3052865,0.3031874,0.30609536,0.31660852,0.33367956,0.35089496,0.35840502,0.3497821,0.3267094,0.29755107,0.27152514,0.2543682,0.24864346,0.25428143,0.2687714,0.286836,0.30251625,0.31156316,0.31220832,0.3047036,0.29053548,0.27252793,0.25508636,0.24293025,0.23917347,0.24246715,0.2478898,0.24963816,0.24574988,0.23869364,0.23390533,0.23513049,0.24333008,0.2570109,0.27690753,0.30742106,0.35484162,0.41921076,0.48833027,0.5415289,0.56379586,0.55949545,0.54753447,0.54390264,0.5450077,0.5341436,0.49881223,0.44427857,0.38794613,0.3454093,0.32186,0.3136132,0.3151225,0.32244143,0.33264264,0.34214476,0.34666285,0.3445581,0.3377854,0.3309689,0.32698035,0.32539102,0.32384756,0.32156065,0.32064483,0.32441318,0.3340741,0.34768033,0.36076188,0.3692715,0.37069616,0.3657626,0.3578535,0.35206345,0.3518493,0.35694304,0.3647076,0.37489614,0.39366198,0.42947438,0.48384607,0.543266,0.5853999,0.5927012,0.56517583,0.51698726,0.46626458,0.42412385,0.3936729,0.37293568,0.35885987,0.34978846,0.34502244,0.3449656,0.3485445,0.35424232,0.35950112,0.36333194,0.3656484,0.36782074,0.3704411,0.37375593,0.37721083,0.38118422,0.38486746,0.38552818,0.37745175,0.3569955,0.32576826,0.29201946,0.26474187,0.24928933,0.24413586,0.24410434,0.2434907,0.24040417,0.23667757,0.23555042,0.23805559,0.24200119,0.2450101,0.24661493,0.24854136,0.2514753,0.2544804,0.25607178,0.25634798,0.25624683,0.25547838,0.25207317,0.24417408,0.23312181,0.22269179,0.21731539,0.2199461,0.23532064,0.2719027,0.33698353,0.42515317,0.51305455,0.5731091,0.5953393,0.5954459,0.59795403,0.6117344,0.62410015,0.61590654,0.58108515,0.52982336,0.47898176,0.43942657,0.41390038,0.39911363,0.39234075,0.39108196,0.39378226,0.39647532,0.3955244,0.38835797,0.37577286,0.35919973,0.3408053,0.32327476,0.31153953,0.30945793,0.31709912,0.32927707,0.33953837,0.34384975,0.34237638,0.33807135,0.33467424,0.33696198,0.3518226,0.38740432,0.4461069,0.51765674,0.58220404,0.6243289,0.64616776,0.6617897,0.6799547,0.69103193,0.6747346,0.61943054,0.5329956,0.4390545,0.35967794,0.306262,0.27653292,0.2632936,0.2593257,0.2605654,0.26383492,0.26615512,0.26522815,0.2610319,0.25560677,0.25154814,0.25027683,0.25138852,0.25376907,0.25726095,0.26419184,0.27696756,0.2937853,0.30599308,0.30277494,0.27977255,0.24342175,0.20637445,0.17833626,0.16147427,0.15250419,0.14785467,0.14615726,0.14770202,0.15226318,0.1579247,0.16149037,0.16052864,0.15536313,0.14891262,0.14450441,0.14322291,0.14387281,0.14461786,0.14555304,0.14854032,0.15620731,0.16846345,0.18229835,0.19213726,0.19469376,0.19174291,0.1931981,0.2155317,0.2743434,0.37077984,0.48251247,0.5738697,0.62167835,0.6326633,0.6325366,0.6367373,0.6353566,0.60591835,0.53742194,0.44023347,0.33638534,0.24528565,0.17691259,0.13451767,0.119305916,0.13179992,0.16648288,0.20789905,0.23357008,0.22849649,0.19683434,0.16360791,0.16281505,0.21863465,0.32935053,0.46052203,0.5611566,0.59091026,0.5438006,0.44527543,0.3324469,0.2331522,0.15928783,0.1138393,0.10149836,0.13497204,0.22284669,0.3528289,0.48242632,0.56126064,0.5613101,0.49371293,0.39448047,0.29896697,0.22684519,0.18110178,0.15618725,0.14359301,0.13666604,0.13150893,0.12688307,0.122537605,0.11848121,0.1146594,0.11114653,0.10790046,0.10478637,0.101615764,0.09846992,0.09562195,0.09334594,0.09167552,0.09049318,0.08972457,0.089599766,0.09083996,0.09420062,0.09969193,0.10585206,0.11051319,0.1121281,0.11069722,0.10723481,0.10263452,0.09720249,0.09091831,0.08416579,0.07786671,0.07320254,0.07090888,0.0707976,0.071767665,0.07240787,0.071805775,0.06992838,0.06738826,0.06489738,0.06286126,0.061839376,0.06308261,0.069175325,0.08179683,0.09973181,0.11713928,0.12765716,0.12798432,0.12035971,0.109191276,0.09826345,0.08931384,0.08304551,0.079672076,0.07868872,0.079023205,0.079585604,0.07989183,0.07990879,0.07958514,0.078644335,0.07670546,0.073611,0.06951725,0.064892285,0.060294066,0.056179002,0.052683573,0.049681976,0.04692478,0.04429541,0.041786473,0.03946617,0.037304297,0.035290737,0.033415865,0.0317604,0.030286325,0.028890518,0.027399695,0.025789475,0.024133265,0.02257517,0.021196486,0.020019732,0.019000113,0.018057598,0.017114284,0.016145062,0.015194957,0.014339211,0.013614566,0.01299502,0.012421709,0.011869782,0.011355246,0.010911454,0.010534588,0.010201768,0.009877945,0.009565449,0.009266413,0.008993181,0.008721445,0.008447279,0.008178931,0.007969973,0.007853677,0.007832304,0.00784925,0.007833376,0.0077304114,0.0075424653,0.00732159,0.007129231,0.0069910083,0.0068745804,0.006729687,0.006528554,0.006298523,0.006078461,0.0058869612,0.0057003354,0.0055034957,0.005306022,0.005142325,0.0050269836,0.0049518137,0.004891038,0.0048183515,0.0047065387,0.004530817,0.004278664,0.0039535062,0.0035765546,0.0031745683,0.0027713494,0.0023725398,0.0019700998,0.0015601796,0.0011717874,0.00087104196,0.0007343384]