[0.0029403325,0.0068692886,0.017685004,0.035851467,0.058748167,0.08069474,0.096202515,0.10360267,0.105163604,0.104834445,0.1049192,0.10640919,0.1092901,0.113720156,0.11868492,0.12238773,0.12328137,0.12206361,0.12136159,0.12365214,0.12861818,0.1333846,0.13443738,0.13064109,0.12342403,0.11605671,0.11141506,0.11142928,0.11598369,0.12338672,0.13015923,0.13327976,0.1312495,0.12587602,0.12024611,0.11717085,0.11663952,0.11713648,0.117304824,0.11745593,0.11876497,0.121360414,0.12464527,0.12764655,0.13014176,0.13140552,0.13016467,0.12541476,0.11780628,0.10968757,0.10330097,0.09933377,0.096999414,0.095499516,0.09519854,0.09709898,0.10158578,0.10776531,0.11422046,0.119823314,0.12406436,0.12629344,0.12633796,0.12466097,0.12373391,0.1260358,0.1328441,0.1418127,0.14912723,0.1519195,0.15053414,0.14738925,0.14443175,0.14258605,0.14197502,0.14274608,0.1439948,0.14351098,0.13917767,0.13085523,0.12082168,0.11186502,0.10537257,0.101611234,0.10089212,0.10440317,0.11258128,0.12364572,0.13383953,0.13949846,0.13962843,0.13579689,0.13123274,0.12839846,0.1287132,0.13190721,0.13666773,0.14039242,0.14071196,0.13682717,0.13121599,0.12768222,0.12906332,0.13404153,0.13892798,0.1399043,0.13613802,0.12926205,0.12211219,0.11752805,0.117614955,0.12283858,0.13102438,0.13786419,0.13987017,0.13658446,0.1309673,0.12629181,0.12384751,0.12259027,0.1212384,0.12007633,0.12031227,0.12259632,0.12577376,0.12859303,0.13073574,0.13314342,0.13580404,0.137437,0.13638604,0.13273571,0.12806843,0.1240099,0.12070257,0.11740342,0.11397054,0.111412704,0.11091196,0.11247317,0.11508114,0.118453205,0.12353668,0.13282728,0.14746873,0.16753264,0.19008891,0.21185519,0.22923166,0.24103336,0.2483098,0.25347233,0.25913405,0.26559296,0.27226374,0.27658954,0.27787223,0.27621642,0.27395776,0.27175534,0.2687272,0.26244292,0.2525868,0.24116552,0.23116054,0.22357512,0.21801667,0.21546789,0.21910618,0.23190375,0.25175405,0.27265742,0.2878295,0.29463932,0.2931923,0.28512886,0.27199292,0.25675726,0.24274696,0.23225413,0.22427292,0.21650137,0.20716135,0.19739239,0.18922459,0.18430565,0.18199398,0.18063778,0.17871685,0.17596655,0.17362033,0.17377757,0.17982006,0.19386744,0.21480899,0.23545463,0.24729992,0.24603437,0.23654766,0.22820573,0.22823067,0.23641582,0.2475506,0.2564679,0.26196754,0.26564202,0.2681917,0.26652434,0.25615445,0.23526913,0.20813286,0.18242128,0.16582893,0.16250272,0.17334823,0.19517677,0.22197968,0.24574189,0.26105496,0.26634994,0.26453638,0.25921038,0.25363365,0.24951343,0.24779241,0.24724974,0.24452667,0.23570885,0.22094601,0.20596339,0.19902366,0.20401753,0.21764235,0.23268157,0.2440306,0.25143424,0.25668478,0.260953,0.26342228,0.26355663,0.2613076,0.25777283,0.25368252,0.24940366,0.24418496,0.23713557,0.22806132,0.21862061,0.2118726,0.21113962,0.21831115,0.23272936,0.2508727,0.26742852,0.27784172,0.2810475,0.2796222,0.27748606,0.27610362,0.27476296,0.27192605,0.267742,0.26214585,0.25422618,0.24264915,0.22882557,0.21682031,0.21032268,0.20902528,0.20925917,0.20734973,0.20234476,0.19528544,0.18797173,0.18284124,0.18373334,0.19395405,0.21271388,0.234268,0.25175777,0.2632846,0.27194217,0.28251603,0.2958348,0.30975708,0.32037878,0.32506213,0.32197812,0.31126976,0.29536405,0.2791625,0.26787975,0.26479098,0.2696019,0.27938673,0.28990328,0.2976936,0.30070233,0.2987152,0.29298717,0.2856851,0.2792798,0.27539888,0.27443466,0.27550843,0.27777854,0.28117275,0.2862657,0.2927824,0.29896364,0.30239192,0.30191937,0.2985911,0.294853,0.29289177,0.29336098,0.29508245,0.29617354,0.29504988,0.29205608,0.28884137,0.28799525,0.29082835,0.29675558,0.30308124,0.30682537,0.30653274,0.30301508,0.29799315,0.29249465,0.28628495,0.28042468,0.278855,0.28757954,0.30842087,0.33532044,0.35604098,0.36139002,0.35072744,0.33096477,0.30905464,0.28806,0.26782286,0.24842675,0.23137935,0.21846843,0.21060085,0.2075374,0.20889176,0.2137209,0.22034472,0.22578551,0.22825412,0.22867745,0.23038347,0.23551355,0.2429816,0.25099078,0.25995848,0.2726811,0.2892927,0.3055267,0.31496072,0.31492168,0.30764607,0.2978271,0.2885809,0.28140405,0.27752602,0.2791068,0.28715608,0.2999873,0.31304574,0.32205573,0.32655016,0.32975933,0.33590963,0.34489122,0.35395598,0.35969874,0.36243293,0.36339545,0.3639138,0.36391404,0.36358333,0.36266986,0.36055717,0.3563968,0.3500426,0.34153533,0.32994756,0.31436396,0.2948724,0.27438232,0.2554404,0.239392,0.22445852,0.20964712,0.19560647,0.18590297,0.18385084,0.19087566,0.20553225,0.22494006,0.24642749,0.26852772,0.28991053,0.3086823,0.32139602,0.3259413,0.32206216,0.31159464,0.29534355,0.27401718,0.25228554,0.24067228,0.25031295,0.28243887,0.32547712,0.36257634,0.38391492,0.38978657,0.38566926,0.37465265,0.35897747,0.34219638,0.33123899,0.33,0.33743343,0.3474928,0.35569152,0.36011556,0.361621,0.3600621,0.35582343,0.34981522,0.34490338,0.34300008,0.3436843,0.34377167,0.33924857,0.32923642,0.31607425,0.30516472,0.2994477,0.29978684,0.30478895,0.31404853,0.32672322,0.33980894,0.34879294,0.35068068,0.34724236,0.34271336,0.33963597,0.3368529,0.3320632,0.3251724,0.31713358,0.30669162,0.2894553,0.26370272,0.233766,0.20926273,0.19468983,0.18831883,0.18422776,0.18358795,0.19126742,0.21032958,0.23323448,0.24902333,0.2528433,0.25209448,0.25867203,0.27830327,0.30581054,0.330044,0.34244815,0.3411888,0.33057222,0.3163693,0.30375192,0.29537037,0.2931101,0.2985889,0.3158189,0.3500241,0.40050963,0.4547501,0.48991814,0.49149096,0.46381804,0.42810848,0.40214598,0.39157996,0.39337826,0.40764812,0.43583378,0.4737005,0.50630856,0.5193432,0.50938076,0.48567382,0.45983496,0.43880388,0.42677608,0.42736146,0.4404007,0.45604134,0.45911336,0.44391966,0.4224991,0.41743502,0.4367555,0.46638712,0.47694087,0.45446357,0.40552843,0.35420334,0.31726193,0.30104825,0.30080566,0.31164443,0.3286883,0.34706482,0.3608762,0.3675604,0.37204373,0.38079655,0.39537194,0.40562478,0.40332285,0.3870146,0.36750707,0.3534031,0.3481973,0.34694242,0.34294727,0.32961977,0.30392638,0.26789474,0.229566,0.19993465,0.18732381,0.19162518,0.20409042,0.21550979,0.22541189,0.24450879,0.28018504,0.3270646,0.36728275,0.39271966,0.4111133,0.43680036,0.4680287,0.486276,0.47579703,0.4397713,0.39756632,0.365,0.34715033,0.34253272,0.35319126,0.3806107,0.41711938,0.44430733,0.44698521,0.42744133,0.40062508,0.37767756,0.35388103,0.32102293,0.28157076,0.25127316,0.243492,0.2573322,0.28301847,0.31342816,0.35226932,0.40026626,0.4486042,0.47617713,0.473233,0.4464258,0.41733906,0.39938846,0.3952093,0.39974728,0.41124687,0.42584524,0.43487656,0.42623127,0.401083,0.37723222,0.377834,0.40743256,0.4461328,0.4676777,0.4610226,0.43654656,0.4104134,0.39372453,0.3884811,0.39418796,0.40700123,0.42105484,0.4277028,0.42308953,0.4105817,0.39966473,0.39524648,0.39303172,0.38315025,0.3622587,0.33537355,0.30973458,0.28598186,0.26212636,0.24092393,0.23229693,0.24442641,0.27488124,0.3101381,0.3349489,0.3415121,0.3325063,0.31554642,0.29834357,0.2864895,0.28651604,0.30186725,0.32931536,0.35604474,0.37318015,0.3832117,0.39940035,0.42437378,0.443944,0.434613,0.39087883,0.32972965,0.27956134,0.25382936,0.24931431,0.25665212,0.27767828,0.31548056,0.36288762,0.3952824,0.3961269,0.37112036,0.34410647,0.32921928,0.31888366,0.30124667,0.27639553,0.26031038,0.26235893,0.28103828,0.30779716,0.34252012,0.38865852,0.4439551,0.49337706,0.5206583,0.52060455,0.50296617,0.4819403,0.4675192,0.46243513,0.4658325,0.47237015,0.47361612,0.46000814,0.43216756,0.403295,0.39526507,0.41730008,0.459694,0.49612427,0.5097201,0.49860525,0.47589397,0.45110938,0.42955455,0.41212258,0.40002534,0.39127994,0.3801961,0.36237887,0.3411084,0.32869878,0.3350803,0.35800183,0.380088,0.38505575,0.36912778,0.34485796,0.32638893,0.32007208,0.32218722,0.327427,0.33523953,0.3482195,0.36738706,0.38762823,0.4025662,0.40886447,0.40942648,0.40910354,0.412176,0.42001113,0.43175605,0.43991032,0.43395266,0.40618715,0.36713615,0.3415062,0.35166717,0.39543584,0.4461508,0.47700563,0.47936893,0.46503618,0.44464096,0.4208068,0.3924805,0.37017727,0.37165272,0.4057095,0.45879737,0.5045021,0.5253759,0.52299124,0.50930756,0.49157593,0.4705671,0.44639447,0.42212042,0.39943013,0.37567452,0.3499929,0.33000436,0.3330419,0.36733696,0.4230642,0.46995473,0.486917,0.47088647,0.44032288,0.41083887,0.39195052,0.3854324,0.39396998,0.41502145,0.44029203,0.4570955,0.46344325,0.46882823,0.4872218,0.51734376,0.5422282,0.542345,0.5147926,0.47454774,0.44192865,0.42917785,0.43747953,0.4610689,0.4894494,0.5099209,0.5108765,0.4911174,0.46135202,0.4383601,0.43220544,0.44134855,0.45844355,0.47806367,0.5003049,0.52307266,0.5390299,0.5374239,0.51724225,0.49145246,0.4780891,0.4844638,0.4999558,0.5093696,0.50379676,0.4858891,0.45755383,0.41726175,0.36353254,0.30599913,0.26468006,0.25804022,0.2894179,0.34385097,0.39883074,0.43703166,0.45311806,0.45056084,0.4360344,0.41497695,0.3912351,0.36751604,0.34658325,0.33009008,0.31726742,0.30373564,0.28423098,0.25676867,0.22540586,0.19857866,0.18478175,0.188388,0.20757644,0.23487361,0.2607417,0.27839792,0.2868173,0.28978524,0.29259112,0.29935858,0.31278273,0.33384466,0.36234072,0.39389274,0.4220188,0.4376442,0.43769145,0.42317083,0.4025037,0.3815713,0.36648142,0.35842788,0.35898218,0.36551705,0.37497702,0.38348928,0.3906705,0.39701506,0.4024694,0.40410686,0.399398,0.38872853,0.3764911,0.36726868,0.36213508,0.35792062,0.35111836,0.34076166,0.32872403,0.31651878,0.3054839,0.29710445,0.29342213,0.2935264,0.29357645,0.28972137,0.28359747,0.28087756,0.28716734,0.3023217,0.32167962,0.3386549,0.34826326,0.34778872,0.33723032,0.32030794,0.30391404,0.29573095,0.29892823,0.31001452,0.32011363,0.32168996,0.31364325,0.30320814,0.2999873,0.309405,0.32784173,0.3462957,0.35480523,0.34750184,0.32388416,0.29051936,0.2604382,0.2469034,0.2557725,0.2796577,0.30426776,0.31743395,0.3178334,0.31237456,0.3097428,0.3136767,0.32251433,0.33218297,0.3393155,0.3429871,0.3441669,0.34492624,0.34615397,0.3462063,0.34144187,0.3290654,0.31211445,0.29777363,0.29372272,0.29926357,0.30811968,0.31238076,0.31058362,0.30528247,0.30022702,0.29650927,0.29344535,0.28984308,0.28637767,0.2856633,0.29119563,0.30299306,0.31701663,0.3260646,0.32468447,0.3109509,0.28885654,0.26668933,0.25527558,0.2604516,0.2806444,0.30584064,0.32648504,0.33698213,0.33914354,0.33728877,0.33630505,0.33798453,0.3405833,0.33851948,0.32584533,0.30037975,0.26725432,0.23763883,0.22421218,0.23380549,0.26316968,0.29981172,0.32982,0.34510037,0.34643313,0.33967903,0.33160844,0.32667044,0.3265282,0.32967046,0.33233413,0.3297419,0.31803843,0.295637,0.26446074,0.22973426,0.1981725,0.17459999,0.15993215,0.15160768,0.14609975,0.1411445,0.13623568,0.13224547,0.12994461,0.12963909,0.13040222,0.13140811,0.13290928,0.13716285,0.14681901,0.16257222,0.18293135,0.20669842,0.23497677,0.26934317,0.30730942,0.3413699,0.36218604,0.3640212,0.34725103,0.31926605,0.29527435,0.29515648,0.33356178,0.4047461,0.481299,0.52942365,0.53476363,0.507293,0.46964058,0.4360378,0.4103106,0.39103842,0.37976706,0.37812385,0.38523534,0.39659062,0.40785813,0.41681233,0.4226118,0.4239351,0.4209895,0.41918865,0.4302129,0.46001625,0.5004054,0.5270725,0.52149063,0.48251072,0.42934048,0.38242114,0.35436997,0.34646714,0.35405168,0.36859798,0.38026786,0.3824469,0.37494496,0.36454764,0.35950458,0.36476636,0.37884483,0.39825225,0.42255533,0.456185,0.4990088,0.5409226,0.56346416,0.55740094,0.5279255,0.49257866,0.4643282,0.44703317,0.43507513,0.4210967,0.40077305,0.37505618,0.34986237,0.33183637,0.32621923,0.3335,0.3497778,0.36850187,0.38657808,0.40850294,0.44035503,0.4801828,0.5120569,0.51916987,0.49637428,0.45528507,0.41165027,0.37604216,0.35223782,0.3422544,0.34636417,0.36081788,0.37717095,0.38936898,0.39612773,0.40187415,0.40885404,0.41723433,0.4256483,0.4368204,0.45674053,0.48537263,0.5124893,0.51772183,0.49266157,0.44571242,0.4025766,0.38071498,0.3834803,0.3987951,0.41562748,0.42787448,0.4358405,0.43903348,0.4368848,0.42915753,0.41961527,0.41246787,0.41114464,0.41711056,0.43350673,0.4622065,0.49947798,0.5315611,0.54364634,0.5305464,0.50270146,0.47619843,0.46108416,0.45617184,0.45532408,0.4544104,0.45317724,0.45177522,0.4487071,0.44217634,0.43280837,0.42287573,0.41410005,0.4067669,0.40284824,0.4061909,0.41838086,0.43305454,0.43845454,0.42671883,0.40128008,0.37337244,0.35293782,0.3417566,0.3362917,0.3323057,0.32937405,0.32830527,0.32978377,0.33236876,0.33553723,0.33947647,0.34475592,0.34881315,0.3482641,0.34128416,0.33169615,0.3246701,0.32394627,0.32783172,0.33381513,0.3398296,0.34655347,0.35384956,0.36080405,0.36508512,0.36506274,0.35949445,0.3479413,0.33082595,0.31111452,0.29429153,0.28534427,0.28495434,0.29095742,0.3048499,0.33553717,0.388764,0.4555376,0.5094402,0.52804446,0.5083181,0.469923,0.43544486,0.41861495,0.41982865,0.43375614,0.45059177,0.4604492,0.45461258,0.43382952,0.40611014,0.38422295,0.37509784,0.3785149,0.38745925,0.39524904,0.39862117,0.39877772,0.3981034,0.40004948,0.40914893,0.431053,0.46300992,0.49200597,0.49894962,0.47941628,0.44568852,0.41877186,0.40663543,0.40315783,0.39756608,0.386572,0.37485203,0.36662892,0.36438155,0.37017664,0.39132237,0.4301455,0.4771364,0.50795966,0.50461894,0.46815583,0.42077696,0.3840351,0.36752784,0.36689723,0.37725464,0.39437178,0.41551784,0.4331367,0.44498947,0.45435593,0.47099128,0.49423245,0.51280063,0.50962836,0.48137096,0.43973473,0.4048357,0.38821164,0.3914361,0.41023013,0.44326055,0.4842646,0.51986986,0.5295498,0.50851357,0.46950006,0.43683696,0.42047155,0.41488588,0.40837786,0.39734253,0.38657963,0.38068357,0.38251197,0.39405358,0.42085636,0.46238074,0.50656956,0.529422,0.51531535,0.4692595,0.4158194,0.37858224,0.36698163,0.37654218,0.39837798,0.4236817,0.4449341,0.4551691,0.45335028,0.44266996,0.43043122,0.42060646,0.41530284,0.4131565,0.41313076,0.4134176,0.41316712,0.41191372,0.41193902,0.4182919,0.43737164,0.46707368,0.49465927,0.500915,0.48101604,0.4471674,0.42090595,0.4109037,0.41132236,0.4110705,0.40559265,0.39810905,0.39261726,0.39264473,0.40051734,0.4213622,0.45601138,0.49758324,0.5281922,0.53404,0.51445484,0.48427224,0.45769665,0.44009003,0.42903313,0.42364192,0.4239405,0.42655483,0.4239522,0.41563097,0.41288337,0.43000197,0.4657879,0.50014406,0.51065564,0.49235594,0.45924306,0.4288282,0.40926254,0.4016302,0.40820852,0.4340725,0.47576427,0.51756984,0.5370992,0.5269454,0.49624798,0.46469876,0.44124958,0.42608234,0.4144446,0.40698096,0.40485802,0.4075564,0.412477,0.4209794,0.43976817,0.4733731,0.51548016,0.547145,0.5519423,0.52737874,0.48807374,0.45097908,0.42752123,0.4198831,0.42726037,0.44330046,0.45880464,0.46212447,0.45106184,0.43146157,0.41507235,0.40648076,0.40388095,0.40144932,0.39749315,0.39375332,0.39337265,0.39761248,0.40802896,0.42725858,0.4580748,0.49530947,0.52621454,0.5359152,0.5227567,0.49690965,0.4726188,0.4540269,0.43820074,0.42220023,0.40844426,0.400991,0.40025327,0.4046608,0.4141245,0.43386564,0.46650752,0.5064529,0.5366048,0.5432641,0.5248876,0.49434042,0.46417096,0.44014868,0.42168763,0.40963733,0.40426067,0.40337002,0.4009825,0.39845398,0.4048958,0.43093777,0.47167936,0.5068968,0.51507825,0.4919269,0.4519653,0.4156846,0.39556953,0.3950702,0.4129922,0.4483088,0.49310377,0.53269917,0.54868716,0.5362002,0.5037141,0.46745324,0.43482447,0.40691483,0.38358673,0.3696516,0.36878124,0.37901473,0.39453852,0.4125755,0.43689916,0.46907318,0.50211054,0.5185495,0.5085911,0.47634462,0.44085154,0.41640058,0.40811968,0.41062286,0.41839096,0.42541203,0.42730275,0.4202819,0.40653288,0.39208043,0.38457808,0.38640618,0.39555097,0.40693954,0.4166741,0.42212293,0.42250326,0.41916713,0.41645277,0.41981187,0.43088213,0.4450306,0.45371684,0.45252267,0.4435607,0.43329927,0.42516062,0.41895476,0.41391483,0.41396102,0.42624447,0.4524375,0.48350874,0.5026643,0.50165814,0.48565257,0.4681259,0.45480374,0.4422634,0.42583486,0.4068773,0.3898883,0.3732156,0.3505219,0.31775072,0.2828312,0.25962397,0.25690255,0.26838228,0.2806821,0.28588346,0.28900263,0.29922354,0.3189446,0.34099105,0.355817,0.35965034,0.35464832,0.34657523,0.3397448,0.3370546,0.3384188,0.3428688,0.34879518,0.3549132,0.3601624,0.36315456,0.36348987,0.3612988,0.3575333,0.35101923,0.33894,0.31801024,0.29077592,0.26809803,0.26822838,0.30571854,0.37728682,0.45816743,0.5135603,0.52556556,0.50088173,0.46489692,0.43676242,0.4238614,0.4218363,0.42599675,0.43004146,0.4294095,0.4215339,0.41466022,0.42265108,0.45391718,0.496346,0.5224915,0.51155984,0.46739376,0.41533446,0.37918854,0.3653653,0.3634367,0.36021486,0.350962,0.3402636,0.33679208,0.34526154,0.36554137,0.39053404,0.41179812,0.42031547,0.41499713,0.4003365,0.38588965,0.3785046,0.3828489,0.40109476,0.43327478,0.47460723,0.5127235,0.5323341,0.5219721,0.48496935,0.4365941,0.39637598,0.37453648,0.3709121,0.3802295,0.39813566,0.42198566,0.4473314,0.4706491,0.4920847,0.5172058,0.5461828,0.5688448,0.56659293,0.532206,0.4760288,0.42159522,0.38522556,0.37145424,0.37783793,0.405421,0.4520658,0.50440854,0.53695846,0.53370506,0.501286,0.46346843,0.43731412,0.42085794,0.40418658,0.38273823,0.36301327,0.35114786,0.3498372,0.35892668,0.38166186,0.42065108,0.46925315,0.5093073,0.5203131,0.49725497,0.4521036,0.4056263,0.3702732,0.34954026,0.34127426,0.34337807,0.35209665,0.36120632,0.36728188,0.3740065,0.39200187,0.42453492,0.46144187,0.48069867,0.47095397,0.43818367,0.40433672,0.3848538,0.38216767,0.38457242,0.3809242,0.36748362,0.3513492,0.3428459,0.34852007,0.3681235,0.39466235,0.41994193,0.43485975,0.4377757,0.43031883,0.41877976,0.40478173,0.39059862,0.3810079,0.38656044,0.41394588,0.45488277,0.48711395,0.4884261,0.4564416,0.40744865,0.3651338,0.3423364,0.3409758,0.35477635,0.37667903,0.39961562,0.41848874,0.43392313,0.45141113,0.47803974,0.5095199,0.53058964,0.52116245,0.4761114,0.40712878,0.33660135,0.28024468,0.24348825,0.22338362,0.2161705,0.21926343,0.23068066,0.24673033,0.26145002,0.26874676,0.26547953,0.25338778,0.23760189,0.22349298,0.21360163,0.20736332,0.20296448,0.20261832,0.21468492,0.25318494,0.32281315,0.41148257,0.48730555,0.52454364,0.516321,0.48162612,0.44232407,0.41441914,0.40137258,0.40391767,0.41632977,0.43015742,0.43415427,0.429647,0.4287127,0.44669414,0.48153126,0.51292115,0.5173217,0.48793408,0.43970153,0.39461228,0.3669119,0.35643026,0.3553876,0.35658005,0.3578672,0.36157426,0.37076196,0.3874383,0.4108902,0.437868,0.46304724,0.48059356,0.48656872,0.47799635,0.45460162,0.41851303,0.38074133,0.35741147,0.36641014,0.40863016,0.46680722,0.508004,0.51279986,0.48375413,0.44674623,0.42450538,0.42700246,0.44658807,0.47208837,0.4908019,0.4958633,0.48300815,0.4603068,0.4416516,0.44168863,0.45879146,0.4766632,0.4768454,0.45545086,0.4265089,0.40692613,0.404657,0.41521725,0.4339336,0.45909032,0.48846182,0.5111928,0.5150568,0.498611,0.4740372,0.4546032,0.44188595,0.4289994,0.4113983,0.3934625,0.38300705,0.38399696,0.39572296,0.41617754,0.44677207,0.48519155,0.52311057,0.5434665,0.5367229,0.505162,0.46528804,0.432651,0.41682044,0.4175863,0.43051967,0.44663343,0.45698938,0.4547483,0.44490954,0.440715,0.45342192,0.47673297,0.48896468,0.4737201,0.43471923,0.3943862,0.37141636,0.37187245,0.39034295,0.42338586,0.46667513,0.51083726,0.53705484,0.53261566,0.50179017,0.46458533,0.43969345,0.431854,0.43837187,0.45584074,0.48601374,0.52443504,0.563093,0.5888826,0.5973013,0.5866418,0.56275684,0.5290851,0.49513248,0.4711851,0.46925402,0.48863506,0.51635534,0.5345095,0.5390927,0.53971297,0.5450819,0.54870945,0.5354862,0.5032672,0.46668133,0.4451721,0.4409729,0.44283667,0.43913707,0.43291226,0.4357727,0.45614624,0.48894715,0.5193489,0.53292614,0.5256848,0.5058596,0.4852756,0.4719238,0.46579298,0.46430126,0.46400297,0.46183535,0.45604143,0.44940078,0.44996682,0.4631759,0.48632088,0.5088876,0.5226822,0.52549124,0.51943845,0.50417674,0.47808993,0.4418532,0.40185735,0.36661032,0.34153077,0.32644546,0.31748652,0.3109009,0.30457786,0.2989687,0.29742715,0.3065356,0.3314264,0.36791372,0.399707,0.4068443,0.38202062,0.33552647,0.2872717,0.25007373,0.22560434,0.20873624,0.1960801,0.18673265,0.18007557,0.17416388,0.1669815,0.15815262,0.14860912,0.13932799,0.13042127,0.12177331,0.11407874,0.10839095,0.10501742,0.10255531,0.099552535,0.09605748,0.093792476,0.09399093,0.095608465,0.09631122,0.09446395,0.0906497,0.08634773,0.08263225,0.07964415,0.07770621,0.07750701,0.07934154,0.08206731,0.08413911,0.08533996,0.08727005,0.09121847,0.096387714,0.10071955,0.10387143,0.10726624,0.111826025,0.11491051,0.11306801,0.10537244,0.095674455,0.08853141,0.0858464,0.0858651,0.08653528,0.08772703,0.09057095,0.095196426,0.10122931,0.11086237,0.12992938,0.16056566,0.19517402,0.21928596,0.2287214,0.23724009,0.262543,0.3026494,0.32956645,0.31670588,0.26234737,0.19350727,0.13801448,0.10745382,0.095362104,0.092367016,0.09335577,0.09699304,0.10380951,0.11803973,0.15062855,0.2069697,0.27629405,0.32622507,0.33030215,0.28668246,0.22397591,0.17178202,0.14229585,0.12815203,0.119429864,0.11299286,0.11021185,0.1109835,0.112215936,0.11131383,0.10827751,0.104907654,0.10227982,0.10021163,0.09827396,0.09722495,0.09810415,0.100892544,0.10403019,0.10616251,0.10752216,0.109337986,0.1124328,0.11818903,0.1310525,0.1577243,0.19796316,0.2390532,0.2621572,0.2633082,0.26043928,0.27573678,0.30808905,0.328523,0.30981088,0.25197926,0.18338777,0.13173732,0.10666426,0.10031163,0.10320594,0.11031806,0.11912179,0.12738894,0.13791645,0.16257732,0.21033251,0.27344298,0.3209693,0.324935,0.28043953,0.21359654,0.15445863,0.12001882,0.10959038,0.120242424,0.14957805,0.19075394,0.22695394,0.24418114,0.24722795,0.257589,0.2925566,0.34364212,0.38636604,0.3999801,0.38646117,0.36064085,0.3384981,0.32621136,0.32309353,0.3251352,0.32861236,0.33206645,0.33736858,0.349602,0.37281445,0.4030923,0.42647436,0.42590502,0.3960973,0.34824058,0.30232593,0.27130613,0.25611383,0.2503234,0.2482089,0.24688399,0.24513805,0.2423086,0.23840396,0.23399253,0.229841,0.22679204,0.22567208,0.22671734,0.2291404,0.23136055,0.23235862,0.23211132,0.23150039,0.23097257,0.23032053,0.22894068,0.22671394,0.22418529,0.22184958,0.2197962,0.21747708,0.2145197,0.21043766,0.20488365,0.19730727,0.18791626,0.17781363,0.16914606,0.16408698,0.163646,0.16692275,0.17151316,0.1756348,0.17907275,0.18243742,0.18480177,0.18509156,0.186467,0.19951482,0.23466437,0.28890106,0.33945993,0.35778865,0.3324797,0.27869108,0.22464736,0.18947001,0.17673494,0.18209092,0.2036851,0.23767717,0.2733506,0.29550967,0.30081794,0.3036208,0.32088372,0.35126778,0.37021923,0.35642996,0.30966094,0.25339493,0.20969884,0.18826486,0.18458669,0.19148196,0.20268066,0.21396635,0.22421278,0.23759417,0.26405874,0.30752936,0.3577632,0.3884835,0.38036323,0.33515707,0.2776368,0.23152469,0.20586778,0.19459705,0.18974048,0.18752195,0.18727769,0.18804564,0.188439,0.1877882,0.1863829,0.18473595,0.18273337,0.17999661,0.17582555,0.17071898,0.165869,0.16352367,0.16474243,0.16931677,0.17527412,0.18055005,0.18443042,0.19039428,0.20658909,0.24153833,0.29237807,0.34074745,0.36310455,0.35486117,0.3374281,0.3372738,0.35701433,0.36964393,0.34927127,0.29488292,0.2321164,0.18507814,0.16166009,0.15455277,0.15597987,0.16240676,0.17188855,0.18220688,0.1955229,0.2227124,0.27164498,0.33386204,0.37839878,0.37793067,0.3284708,0.25678506,0.19323951,0.15586877,0.14594452,0.16228054,0.20155774,0.25270477,0.2937602,0.30908406,0.3075642,0.3192694,0.3662683,0.43834934,0.5013705,0.5293315,0.52386063,0.5059077,0.4924675,0.48744634,0.485461,0.48113623,0.47110507,0.4541353,0.4309562,0.4049903,0.38115728,0.36366573,0.35375765,0.34962884,0.34772393,0.34507397,0.3406591,0.3353171,0.33059642,0.32723808,0.32444397,0.32051504,0.31421125,0.305948,0.29698315,0.28837708,0.2804748,0.27380764,0.26934782,0.26743534,0.26670936,0.2646372,0.2596145,0.25212878,0.24375771,0.23535691,0.22642541,0.21694587,0.21072768,0.21686377,0.24782062,0.3083665,0.38804567,0.4604474,0.503237,0.5136017,0.50973004,0.5093958,0.51339287,0.50910974,0.48726293,0.45321277,0.4197391,0.39650452,0.38405648,0.37845886,0.37505567,0.37127218,0.36641362,0.364351,0.37296262,0.4003693,0.4444658,0.4894216,0.5121047,0.5001502,0.4603956,0.41356707,0.37693036,0.35577688,0.34560356,0.34093547,0.33918107,0.34026492,0.34567797,0.3587375,0.38314554,0.4161085,0.4442229,0.44795468,0.41802886,0.3644946,0.31108165,0.27648142,0.2636867,0.2637161,0.26668963,0.2691505,0.27268407,0.28189886,0.3013596,0.33483636,0.37882736,0.42088404,0.44254473,0.43419898,0.40221325,0.36548257,0.3400825,0.33077857,0.33299133,0.34042838,0.35040927,0.36445156,0.38613236,0.41741252,0.45452318,0.48874006,0.5109015,0.5182604,0.51532036,0.5097132,0.5058647,0.50388485,0.5021935,0.5014295,0.50359446,0.51014537,0.51979345,0.5301234,0.5394898,0.5479455,0.5562124,0.5632439,0.56686556,0.56542206,0.56058997,0.5555356,0.5519605,0.54922336,0.5470009,0.5483219,0.5568443,0.5741486,0.5973778,0.621787,0.63968545,0.64123887,0.6171934,0.5669353,0.5017138,0.43906328,0.3924433,0.3649573,0.3522241,0.34790674,0.34785905,0.34960225,0.35132638,0.3514686,0.34953463,0.34638682,0.34350803,0.3417547,0.34035948,0.33913887,0.34143993,0.35648456,0.39058688,0.43818495,0.47783026,0.48902777,0.46776295,0.4308966,0.39940313,0.3833451,0.3782997,0.3750973,0.36867985,0.36107302,0.3570899,0.3612298,0.37503466,0.39671314,0.41741168,0.42415455,0.40757823,0.3743832,0.34129584,0.32070383,0.30546507,0.28030434,0.23876975,0.1927691,0.15934572,0.14564002,0.1463433,0.1535874,0.1671647,0.19177969,0.22951345,0.2730433,0.31114843,0.33571565,0.34593877,0.34432068,0.33293432,0.31523082,0.29784516,0.28999555,0.2953813,0.31016758,0.32458088,0.33033034,0.32217288,0.29814503,0.26048502,0.21859123,0.18860592,0.18389726,0.20616408,0.24432667,0.28578895,0.3253508,0.360842,0.38354698,0.37796745,0.33994898,0.2885952,0.2546006,0.25483587,0.27815402,0.3044505,0.32338843,0.3418555,0.36457357,0.38558242,0.39171734,0.37819314,0.3519512,0.3251482,0.3055832,0.29608408,0.29656804,0.30701342,0.32320943,0.337985,0.34340623,0.34179688,0.3438808,0.36054936,0.3881472,0.41085562,0.4151667,0.4016024,0.38272917,0.3690056,0.36307576,0.35966918,0.35314748,0.3399254,0.3207614,0.30114126,0.29018223,0.2977464,0.3239715,0.35727635,0.37749544,0.3751583,0.35656524,0.33600464,0.31820336,0.29501352,0.26183817,0.22725403,0.21086882,0.2233119,0.25834405,0.29717436,0.32180583,0.32457355,0.30653164,0.2757837,0.24221146,0.21840912,0.21316732,0.22919594,0.25842604,0.28915754,0.31199092,0.32636037,0.33667088,0.34704748,0.3570526,0.3637704,0.36545563,0.36427355,0.36432695,0.36895028,0.37681904,0.3833119,0.38226148,0.37167695,0.3565428,0.34944114,0.36423624,0.4023305,0.4484417,0.4762375,0.4729255,0.4448043,0.4114873,0.38390365,0.36434838,0.35427228,0.3626866,0.39203486,0.427541,0.4384075,0.4059271,0.3366003,0.25991952,0.20066975,0.16710483,0.15202509,0.14789827,0.15155052,0.16153933,0.17417939,0.1887515,0.21343563,0.259149,0.3236295,0.38389826,0.4131136,0.404122,0.37540182,0.35215786,0.34539437,0.3486193,0.3503573,0.34586695,0.33940125,0.33869,0.35111618,0.38096932,0.42662272,0.4742945,0.50250024,0.4946837,0.4572966,0.41177264,0.37855873,0.35728648,0.33744416,0.3087403,0.27263317,0.23561321,0.2073046,0.1949762,0.20076548,0.21695942,0.2300544,0.22959113,0.21585216,0.19826394,0.18896961,0.19607987,0.22097826,0.25797728,0.29692748,0.32746884,0.34239307,0.34025463,0.32442924,0.3034388,0.28654644,0.28119612,0.28776908,0.30013916,0.30715975,0.2990522,0.27259997,0.23457251,0.20053743,0.18977207,0.21817286,0.28546917,0.3699195,0.4349971,0.4562739,0.43865108,0.40895876,0.38955963,0.3820459,0.3800944,0.3837261,0.40117872,0.43006495,0.4532646,0.45119426,0.4226527,0.3841407,0.35540637,0.3428659,0.34192494,0.34412858,0.3460466,0.34673047,0.34739304,0.34918022,0.35687706,0.37612963,0.40606666,0.43458357,0.44247532,0.42264727,0.38367072,0.3463861,0.3230332,0.31522703,0.3147166,0.3154495,0.31525365,0.31665272,0.3240205,0.3421625,0.3758798,0.42041004,0.46147814,0.47635755,0.45813635,0.41687736,0.37368795,0.33589458,0.29768583,0.25354555,0.21057476,0.18418871,0.1816627,0.19669043,0.21494983,0.22599287,0.22884424,0.22747992,0.22601467,0.22525798,0.22636892,0.2304862,0.23802863,0.24611466,0.25186697,0.25573877,0.261819,0.2736816,0.2899116,0.30631825,0.31872842,0.32748863,0.33338717,0.33748737,0.33748594,0.33285102,0.32338187,0.31219876,0.30286816,0.30251932,0.31965032,0.3589097,0.41117415,0.4545578,0.46822813,0.45059726,0.41690353,0.38437143,0.35685894,0.33374798,0.32076967,0.33180383,0.369261,0.41500762,0.4382217,0.42392746,0.38139498,0.33620897,0.30425653,0.28778255,0.28170535,0.28739318,0.3090013,0.34505382,0.3856298,0.42142534,0.4532467,0.48506346,0.514741,0.5282875,0.5165027,0.481763,0.43973246,0.40301764,0.37756714,0.36244866,0.35670874,0.359055,0.36664727,0.37506196,0.38304055,0.39572594,0.4202778,0.45523143,0.48717794,0.50045985,0.4926511,0.47314048,0.45204797,0.42659262,0.39069387,0.34456488,0.30194518,0.2757223,0.2680993,0.26900244,0.2693119,0.27018973,0.2787765,0.29717374,0.31601202,0.32440794,0.31912065,0.3069352,0.2937208,0.28027186,0.26579785,0.25648344,0.26172817,0.2838622,0.31038788,0.32358858,0.31497002,0.29242277,0.26999673,0.2555317,0.24826801,0.24754383,0.2567879,0.2791865,0.31128046,0.34737173,0.3860941,0.42581907,0.45687374,0.45995393,0.4294858,0.38262895,0.3514363,0.35216638,0.37666497,0.40731275,0.43651617,0.46647677,0.4937661,0.50378704,0.48509482,0.44171846,0.39274767,0.354399,0.33194435,0.32152703,0.31917572,0.3227694,0.32876357,0.33279136,0.33376268,0.33938858,0.3580568,0.3893664,0.41785073,0.42743254,0.41569296,0.39636055,0.38461098,0.38262936,0.38349786,0.3810587,0.3790755,0.38420418,0.3997943,0.42314896,0.4503385,0.47857508,0.5008192,0.50625664,0.48526692,0.44505215,0.40400305,0.38050127,0.3732159,0.3688431,0.35379252,0.32861754,0.30159864,0.28045014,0.26570904,0.25581738,0.2520552,0.25814354,0.27448413,0.29408118,0.30771056,0.30997992,0.30329284,0.29289246,0.282886,0.27556908,0.27514204,0.2885143,0.32074133,0.36824712,0.41927254,0.45957816,0.48146164,0.48375416,0.469872,0.4438175,0.41165075,0.38099444,0.35799655,0.3454597,0.34397677,0.35724533,0.3868266,0.42664492,0.45908153,0.46941626,0.4567933,0.4337738,0.41048154,0.38583115,0.35737443,0.33402205,0.33466873,0.36578473,0.40960273,0.43442297,0.4245703,0.39034888,0.35704997,0.3398422,0.3391534,0.34634224,0.35595286,0.36521173,0.3734418,0.38075516,0.39134315,0.41074285,0.43834636,0.46374926,0.4719546,0.45835066,0.430346,0.40177047,0.37879732,0.36146462,0.34806916,0.34036815,0.33956465,0.34280047,0.34712133,0.3545291,0.37416002,0.40768787,0.4436216,0.4588486,0.44445837,0.41228175,0.38672593,0.3784866,0.3786789,0.37265924,0.35579395,0.33682004,0.32524237,0.3245157,0.33068419,0.338329,0.34362993,0.34502494,0.34240082,0.3364977,0.32907143,0.32197905,0.31584015,0.30907843,0.300522,0.2928708,0.2933807,0.30845523,0.33752415,0.37250185,0.40340474,0.42273626,0.42567372,0.40776148,0.36857644,0.31463757,0.26047912,0.21878846,0.19601502,0.19197147,0.20951767,0.25273237,0.31748477,0.38383088,0.42554867,0.43342462,0.41879675,0.4033548,0.39551416,0.39542818,0.4017698,0.42152515,0.45474496,0.48923817,0.5025003,0.48322415,0.43678704,0.3813555,0.33047843,0.29042137,0.2633085,0.2533444,0.26234797,0.28496718,0.31061074,0.3338345,0.35923886,0.39217234,0.4270805,0.44594383,0.43657017,0.4031793,0.36498436,0.33766893,0.32599422,0.32607916,0.33415082,0.34746978,0.36195716,0.37260613,0.38005337,0.39280805,0.42004314,0.45822152,0.49034807,0.49942553,0.48518798,0.46014187,0.43510708,0.40929902,0.38243318,0.36552677,0.37486067,0.41139236,0.45306024,0.47325563,0.46492925,0.44372547,0.42801273,0.42074525,0.4152578,0.41086522,0.41823956,0.4428854,0.47486815,0.49404263,0.49274063,0.47859097,0.46505642,0.4532806,0.43745446,0.41401443,0.38880005,0.36727455,0.34750882,0.32073483,0.28286815,0.24075459,0.20871978,0.1955533,0.19790883,0.20530875,0.21207547,0.2207986,0.23578866,0.25485098,0.27043113,0.2766665,0.27414608,0.26881576,0.2665129,0.27077425,0.28086165,0.29435334,0.30763063,0.3185636,0.32602325,0.3297976,0.32967946,0.32583475,0.31915832,0.31025812,0.29791126,0.27892685,0.25067082,0.21449436,0.17668754,0.14697005,0.13334733,0.13817008,0.15525188,0.17452258,0.18739945,0.19224103,0.19191445,0.19044532,0.18940325,0.18870944,0.1876264,0.18575837,0.18269205,0.17774153,0.17019574,0.15992966,0.14798781,0.1362244,0.12656517,0.120100476,0.11675948,0.11544878,0.114756145,0.11404357,0.114074804,0.11644439,0.121652775,0.12783356,0.1314686,0.13023813,0.12501813,0.11919186,0.1156581,0.11472515,0.11472776,0.11442303,0.11397332,0.114204586,0.115042515,0.11612007,0.11796691,0.12180191,0.12784736,0.1335178,0.13582669,0.13349338,0.12857051,0.1235599,0.119726054,0.1166398,0.11391503,0.111469425,0.109295964,0.10714588,0.1061022,0.10871297,0.11735147,0.13102712,0.14466518,0.15246744,0.1519499,0.14569148,0.13837071,0.13346195,0.13179292,0.13304155,0.13687594,0.14291812,0.14964615,0.15515798,0.15803738,0.15839702,0.15652323,0.1524986,0.14612602,0.13847362,0.13139777,0.12659205,0.123741515,0.12145818,0.11862462,0.115911104,0.114722796,0.11588818,0.11904398,0.1236021,0.1292652,0.13584785,0.14242058,0.14802067,0.15230805,0.15630251,0.16095723,0.16608022,0.1697297,0.16990082,0.16617638,0.16054511,0.15566355,0.1532998,0.15334786,0.15578584,0.16089748,0.16949356,0.1803624,0.1914503,0.20078345,0.20872585,0.21641655,0.22433537,0.23135823,0.23591477,0.23751009,0.23716147,0.23679836,0.23787473,0.24098887,0.24632217,0.25429055,0.264832,0.2765548,0.28707218,0.29443932,0.2984946,0.30005506,0.30055103,0.3009016,0.30252206,0.30622646,0.31262553,0.3207244,0.32960656,0.33819973,0.3468094,0.3555058,0.3645871,0.37367144,0.3829484,0.39306545,0.40482798,0.4181101,0.4311287,0.44145218,0.44690478,0.44686583,0.44209015,0.43501875,0.42908844,0.42768764,0.43298724,0.44485593,0.46114752,0.47533336,0.47750345,0.45647112,0.4092213,0.34392688,0.27751812,0.22427817,0.19274195,0.18799645,0.2178375,0.28306493,0.36833444,0.4395444,0.46826282,0.4503288,0.4086047,0.36963072,0.34582007,0.3343157,0.32822022,0.32504046,0.3252461,0.33008733,0.3418913,0.3659098,0.40586364,0.45418867,0.49154994,0.49834383,0.47449687,0.43704882,0.40704572,0.38920268,0.3778484,0.3655028,0.35348347,0.3454002,0.3430597,0.34391156,0.34455708,0.34240985,0.33686328,0.3289033,0.32114828,0.31601056,0.31462434,0.3160161,0.3184861,0.32103,0.32362723,0.32688177,0.33043563,0.33372012,0.33564755,0.33659458,0.337237,0.3391721,0.34264538,0.34715405,0.35058784,0.351267,0.34850118,0.34353375,0.34054247,0.34608936,0.36864042,0.4081757,0.4526662,0.47920433,0.47495684,0.44702455,0.41637114,0.39754257,0.3894007,0.38864133,0.39905643,0.42783985,0.46754375,0.49486074,0.4894338,0.45139655,0.40140915,0.36012983,0.33610162,0.32621357,0.32609865,0.3340169,0.34750512,0.3623904,0.37665614,0.3962244,0.42844462,0.46952048,0.4998692,0.4981108,0.46175802,0.4090817,0.36441278,0.3390242,0.33030936,0.3298259,0.3320895,0.3354558,0.3406284,0.35157952,0.37480178,0.41564548,0.4669466,0.51044184,0.5251647,0.50951076,0.47710788,0.44733778,0.4243721,0.4046394,0.3835157,0.36451843,0.3520647,0.34789118,0.34964025,0.35368362,0.3568459,0.35697863,0.35414314,0.349565,0.34500337,0.34070906,0.3368179,0.3336462,0.33265504,0.33450615,0.33847868,0.34283486,0.3462887,0.34859753,0.34929204,0.34759465,0.34299013,0.3368188,0.33125183,0.32766673,0.32577845,0.32562408,0.32863006,0.3385127,0.35901523,0.39381865,0.43971232,0.48529133,0.5119781,0.50982505,0.4850583,0.45554015,0.4351056,0.42569014,0.4258429,0.43649504,0.4585897,0.4830316,0.49375728,0.48280534,0.45975682,0.44346893,0.44315338,0.45088562,0.45346788,0.44637927,0.43670523,0.4320735,0.4340706,0.4413226,0.4549128,0.4763889,0.49984777,0.51216793,0.5031703,0.47647706,0.44700646,0.42904106,0.42553508,0.43034992,0.43545997,0.438159,0.4397235,0.44363233,0.4532007,0.47158083,0.49836358,0.525486,0.5396333,0.53140074,0.50576526,0.47682455,0.45782557,0.4510816,0.45396367,0.46162128,0.47057942,0.4766864,0.47960496,0.4825705,0.48761737,0.49142027,0.4875318,0.47513914,0.45941356,0.4474629,0.44162616,0.4401058,0.44036138,0.44069347,0.44066763,0.4393835,0.43709242,0.43459603,0.43334326,0.43398622,0.43604502,0.43871018,0.44063628,0.44108734,0.43934488,0.43634036,0.43414167,0.4359009,0.44459626,0.46200514,0.48829293,0.51806957,0.5410047,0.5450781,0.52801687,0.49933246,0.47297153,0.45602143,0.4468609,0.44502664,0.45420882,0.47737145,0.50637096,0.52423173,0.5181882,0.49001324,0.4556133,0.43123937,0.42451596,0.43086794,0.4410578,0.44739595,0.4496998,0.4530497,0.46425915,0.48539945,0.5124707,0.53410774,0.5379458,0.5170709,0.47862303,0.43811324,0.41091332,0.40055093,0.40191674,0.40553674,0.4061127,0.40234673,0.3981317,0.39911428,0.4116745,0.43696153,0.46730497,0.4873086,0.48476085,0.46177602,0.4327172,0.41239247,0.40409616,0.4028845,0.40250358,0.40166175,0.40128782,0.40261558,0.40509394,0.40744135,0.40849867,0.40874434,0.41014913,0.41417518,0.42037752,0.42673528,0.43215346,0.43708992,0.4425875,0.44773754,0.44958425,0.44479713,0.43373024,0.42165422,0.41699103,0.42481318,0.4423009,0.4592968,0.4658799,0.4601655,0.44957247,0.44362685,0.44579914,0.45237914,0.45916024,0.46789122,0.48267183,0.50337535,0.5206583,0.52580327,0.5166685,0.5006918,0.48515677,0.4748577,0.47242844,0.48163942,0.5021321,0.525541,0.5379765,0.5325811,0.51591873,0.5015095,0.49582294,0.49254927,0.48244938,0.4641856,0.44660226,0.43836987,0.44171894,0.4530196,0.4702696,0.49183998,0.51303077,0.52279073,0.51328737,0.4870328,0.456705,0.43430498,0.424219,0.42437097,0.43105066,0.44015756,0.44719633,0.44878495,0.44829178,0.4541295,0.47369385,0.50144464,0.5223816,0.5211801,0.4983456,0.46586442,0.43941996,0.42557132,0.42605302,0.44016036,0.4670001,0.4984038,0.52118444,0.52329105,0.506174,0.48031512,0.45875835,0.44492123,0.4377164,0.43363658,0.43197814,0.43116727,0.4304535,0.43196353,0.44189835,0.46613562,0.5011284,0.53271097,0.5429275,0.5254408,0.48893622,0.45083967,0.42385045,0.41235662,0.41464242,0.42628244,0.44110772,0.4523941,0.45854238,0.46464965,0.4796181,0.50417393,0.527406,0.53188324,0.51082903,0.47347596,0.4387612,0.4193112,0.41744462,0.42996132,0.45577982,0.49144387,0.5267128,0.544668,0.5364105,0.5077839,0.47552082,0.45205858,0.43948674,0.43445548,0.4341339,0.43658766,0.43812665,0.4362603,0.4348098,0.4429758,0.46608496,0.49734828,0.51935965,0.51870936,0.49596468,0.4660436,0.44381,0.43576226,0.4384935,0.4462473,0.45346856,0.45666662,0.45482364,0.45294294,0.45991734,0.48059157,0.50799656,0.5252716,0.5192879,0.49060813,0.45259,0.41957608,0.3998706,0.39681828,0.41310036,0.44836116,0.49287066,0.52812934,0.5375307,0.5198943,0.48750985,0.4561448,0.4318606,0.41420218,0.40009725,0.39017662,0.38545597,0.3874037,0.3969955,0.4158809,0.44444618,0.4765862,0.50059515,0.50306535,0.4826429,0.4489465,0.41873047,0.40099952,0.39747941,0.403433,0.41387925,0.42283973,0.42566392,0.42310023,0.4232484,0.43800986,0.46840158,0.5014095,0.5149625,0.502551,0.47745803,0.46196792,0.46294817,0.46920252,0.46968377,0.46722293,0.47199216,0.4835401,0.487736,0.4752654,0.4516523,0.43332896,0.42758456,0.4307127,0.4364773,0.44726345,0.46763483,0.4944872,0.51447326,0.51902515,0.5128985,0.5092399,0.51178914,0.5095969,0.49040535,0.45516956,0.41955388,0.3986648,0.39725927,0.40939948,0.4266436,0.44153818,0.44950297,0.448874,0.44560543,0.44961807,0.4684545,0.495263,0.51331884,0.5071918,0.4786252,0.44233045,0.41576946,0.40609694,0.41409817,0.4371905,0.47149578,0.5055952,0.5247006,0.5202845,0.4992713,0.4756914,0.45952585,0.44923997,0.44151056,0.4347913,0.4314783,0.43063128,0.43128207,0.43463698,0.44658455,0.4703299,0.4994522,0.51882106,0.5154805,0.4905399,0.45726323,0.43069342,0.41744086,0.41719976,0.42708394,0.442764,0.4577949,0.46583962,0.46812856,0.47306737,0.4895238,0.5135371,0.5301585,0.523071,0.49236652,0.45167544,0.41940632,0.40293464,0.40277764,0.4165647,0.4454222,0.48356757,0.5181458,0.53111595,0.5185789,0.49001232,0.4637339,0.44811475,0.44433448,0.45028257,0.46860632,0.4972006,0.5268557,0.54133916,0.5340684,0.50928134,0.480124,0.4542447,0.4352034,0.42584968,0.43233836,0.45542392,0.48369637,0.4988042,0.49284577,0.4777708,0.47186863,0.48032436,0.48841938,0.4821718,0.4621056,0.44167984,0.42935836,0.423897,0.42347538,0.4322354,0.4542023,0.48222065,0.50058484,0.50042844,0.48909795,0.48246205,0.48721993,0.49523938,0.49444664,0.48197594,0.4635915,0.44522014,0.42832097,0.41699064,0.4191098,0.44005212,0.4714252,0.49553147,0.49984205,0.4891337,0.4779253,0.4749864,0.47542715,0.4703945,0.4591314,0.44833875,0.44354823,0.4425105,0.44219723,0.44308066,0.44787765,0.45489648,0.45837548,0.45598117,0.45151424,0.4509381,0.45436445,0.45610967,0.45131075,0.4418579,0.4353836,0.43744466,0.44665733,0.4566642,0.463004,0.4668562,0.47005442,0.47213212,0.46933535,0.4643117,0.46331272,0.47251844,0.48615298,0.4931285,0.48559913,0.46834108,0.45148495,0.44105825,0.43462598,0.4281852,0.42132774,0.4162519,0.41192755,0.40414894,0.39077806,0.37504578,0.36295986,0.35660657,0.3534527,0.3492994,0.3436729,0.3380678,0.33237457,0.32120404,0.29960772,0.26955903,0.2433256,0.23376839,0.24424358,0.26460126,0.28081903,0.28456882,0.27633032,0.2597523,0.23784292,0.21389884,0.1933815,0.18148619,0.17868896,0.18130577,0.1870938,0.19731818,0.21304512,0.22880264,0.23656471,0.2325155,0.22186787,0.21146427,0.20369631,0.19641608,0.19090718,0.19365732,0.21042748,0.237718,0.26352027,0.2766221,0.2747049,0.26422206,0.2518789,0.23998599,0.22765623,0.21703665,0.21324651,0.22058177,0.23744214,0.25875142,0.27903113,0.295835,0.3075737,0.3134655,0.31330356,0.30941796,0.3051919,0.30339983,0.30402318,0.30596784,0.307667,0.30757177,0.3020307,0.2873226,0.26343518,0.23769742,0.22107106,0.22136776,0.23778446,0.26292726,0.28750035,0.3045577,0.3107237,0.3059841,0.29297093,0.27529266,0.25552374,0.23494697,0.21412921,0.19606481,0.1858121,0.18884085,0.20585619,0.23160331,0.25764534,0.278006,0.2912688,0.29910704,0.3028367,0.3035489,0.3018242,0.29798082,0.28983256,0.27466372,0.25293228,0.23205696,0.22209577,0.22850893,0.24594824,0.26358673,0.27264622,0.27242577,0.26612,0.25616232,0.24293955,0.22839125,0.21815397,0.21824478,0.23049533,0.25028536,0.27055576,0.28629285,0.2970929,0.30426672,0.30835393,0.30887434,0.30683467,0.30495897,0.3051473,0.30654824,0.30709943,0.30608678,0.30424857,0.30106115,0.29435727,0.28182387,0.26380643,0.24154176,0.2165749,0.19064905,0.17015009,0.16450365,0.18065618,0.21499453,0.25435814,0.2840272,0.2957013,0.2884709,0.26559693,0.23325934,0.20141442,0.1819575,0.18244757,0.20119584,0.22819984,0.25293338,0.26986864,0.27965036,0.28524843,0.2892129,0.293718,0.3003404,0.30983508,0.3203448,0.32906643,0.33523443,0.34234187,0.35538164,0.3754222,0.3970913,0.4131327,0.420105,0.42027557,0.4172467,0.41266623,0.40683687,0.40102914,0.397369,0.3962213,0.3951801,0.39192888,0.3863604,0.3808461,0.37644967,0.37264907,0.36831307,0.3647683,0.36434045,0.3683344,0.37483332,0.38091695,0.38470697,0.3865488,0.3873407,0.3873266,0.3863678,0.3847567,0.38357583,0.3835918,0.38484862,0.38625535,0.38641396,0.38360834,0.37679935,0.3661795,0.3543348,0.34561184,0.3437666,0.34923923,0.3585838,0.36715615,0.37247682,0.37488198,0.37606683,0.37620592,0.37454402,0.37002668,0.3636147,0.3570414,0.35216233,0.34944656,0.34915355,0.35218236,0.359821,0.37187994,0.38541576,0.39643645,0.40268716,0.40433037,0.40255797,0.39735246,0.38934085,0.38023886,0.37319827,0.36907616,0.365899,0.35990286,0.34893063,0.33373427,0.31729305,0.30293918,0.29326177,0.29008916,0.29375568,0.30287006,0.31400666,0.32465196,0.3334107,0.33982846,0.34207836,0.33929738,0.33389387,0.3318752,0.3374844,0.34962833,0.3619318,0.3690854,0.3692328,0.36418855,0.35475528,0.34134245,0.32549414,0.31256613,0.30832905,0.31440046,0.32611585,0.3360776,0.33992007,0.33774576,0.33222067,0.32476613,0.31652752,0.3097738,0.3083002,0.3136518,0.32317638,0.33199385,0.33756718,0.3408654,0.34326658,0.34355783,0.33909222,0.32996473,0.31985983,0.3130466,0.31002262,0.3086655,0.30792907,0.31060827,0.31994358,0.33585992,0.3536351,0.3683351,0.37733206,0.38100907,0.3800398,0.3752495,0.3676451,0.35815918,0.34657177,0.3319302,0.31504714,0.2991403,0.28798953,0.2825911,0.2809833,0.28017592,0.2789533,0.278367,0.28035098,0.285813,0.29337144,0.3007257,0.30580094,0.30780742,0.30597898,0.3000015,0.29129362,0.2846649,0.2854394,0.2948921,0.30767822,0.31643143,0.31810346,0.31586787,0.314679,0.31564915,0.31600556,0.31205603,0.30276343,0.2895589,0.27520487,0.26221648,0.2519551,0.24431896,0.23796661,0.2312724,0.2229446,0.21196826,0.19705634,0.17655177,0.1495282,0.11738029,0.0842574,0.05556466,0.035323247,0.024512691,0.021122394,0.021574518,0.022389442,0.021442493,0.018421872,0.014361165,0.010618117,0.0080111055,0.006612614,0.006064328,0.005983805,0.006095297,0.0062669865,0.006470734,0.0068610795,0.007664986,0.009007794,0.010723873,0.012407779,0.013670821,0.014358755,0.014630492,0.01481972,0.015280695,0.016225057,0.017687835,0.01954561,0.021659413,0.023990097,0.026684513,0.030025601,0.034318533,0.039860938,0.046887342,0.05575158,0.06683127,0.08047211,0.09608845,0.11162871,0.12356189,0.12889938,0.12737197,0.122637,0.120660745,0.12674594,0.14252661,0.16506992,0.18846054,0.2072798,0.21992618,0.22961949,0.24317086,0.26662266,0.3011621,0.34016392,0.37342966,0.39323542,0.39982423,0.39851782,0.39617407,0.39823547,0.4103378,0.4360468,0.4724792,0.50819963,0.5286855,0.52738017,0.5092898,0.48673773,0.46856105,0.45607427,0.44646963,0.4389365,0.4374571,0.44513956,0.46149668,0.48134717,0.5021619,0.5221305,0.53978986,0.5482564,0.5435004,0.5257812,0.5019786,0.47666454,0.45189798,0.4287269,0.4115025,0.40430272,0.4069322,0.4128059,0.41526553,0.41175833,0.4063411,0.40392292,0.40666342,0.41232526,0.41733038,0.4194695,0.41785958,0.41299847,0.40624544,0.40144122,0.40314057,0.41440037,0.43308666,0.4523003,0.46378514,0.46352753,0.4543393,0.44366923,0.43800125,0.43893424,0.44356576,0.44816646,0.4521719,0.4587578,0.47253826,0.4930936,0.5121327,0.517582,0.5043905,0.48152795,0.46329153,0.45768574,0.4582347,0.45716432,0.4533161,0.4557638,0.46759927,0.4825313,0.48705897,0.47772804,0.46053648,0.44675824,0.43946242,0.43717086,0.43717173,0.44107637,0.44854072,0.45549628,0.45654082,0.45510316,0.46139684,0.48155403,0.50556475,0.51428646,0.49809074,0.46616545,0.43939677,0.4319167,0.44416472,0.4642334,0.4780599,0.47687683,0.46156475,0.44205835,0.43121436,0.43914306,0.463163,0.48925456,0.49718106,0.4807802,0.44989717,0.4230413,0.40726554,0.39738154,0.38707057,0.37783203,0.37648678,0.3833969,0.3929673,0.39741373,0.39573875,0.3908496,0.38657066,0.38278356,0.37863255,0.37625012,0.38141158,0.3997092,0.42971158,0.4640492,0.49217582,0.5079189,0.5098632,0.5007637,0.48434067,0.4639968,0.443205,0.424456,0.4096266,0.39826772,0.3890204,0.3795996,0.36865842,0.3571526,0.35089684,0.36037818,0.39286646,0.44279528,0.49035648,0.5154459,0.5134799,0.49420998,0.47043252,0.4467691,0.42820823,0.42246485,0.43642452,0.4600456,0.47167328,0.45529482,0.4209642,0.39297214,0.38854763,0.3990248,0.4067364,0.40144446,0.39077255,0.38335857,0.38099673,0.379125,0.38030717,0.39230514,0.41830885,0.44671062,0.46102062,0.45433736,0.43600366,0.42042422,0.41490197,0.4160732,0.41681674,0.4121498,0.402006,0.3891108,0.37963966,0.38106975,0.4003092,0.4356828,0.47663608,0.50794846,0.52162445,0.51774234,0.5009331,0.47401378,0.44109043,0.4099964,0.39070985,0.3883481,0.39967647,0.4150355,0.42450717,0.4225566,0.41015637,0.3929102,0.37787703,0.370677,0.37485436,0.39137948,0.4180183,0.44726625,0.46869192,0.47313383,0.45940337,0.43420842,0.40895233,0.3924758,0.38922927,0.3980894,0.4153491,0.43390322,0.44609094,0.44517422,0.43032324,0.4070815,0.38687018,0.3823372,0.40270945,0.445536,0.49492297,0.52780396,0.53158504,0.5119977,0.48616263,0.46592045,0.45239612,0.44476795,0.44706276,0.46243408,0.48234737,0.48849133,0.4700191,0.435239,0.40557906,0.3959403,0.4044056,0.4191054,0.4303578,0.436481,0.4381317,0.4366676,0.43451443,0.4391743,0.45437142,0.47310364,0.47596028,0.44886458,0.39560315,0.33706316,0.2932986,0.2710818,0.2654793,0.26930523,0.27890754,0.29214904,0.30695942,0.3233372,0.34620026,0.38061002,0.42237958,0.45655605,0.468514,0.4590886,0.44063923,0.42456523,0.40844166,0.3862132,0.35654435,0.3272548,0.30478397,0.29060778,0.2828742,0.28279254,0.29361054,0.31673667,0.34688553,0.3766228,0.39969638,0.4147748,0.42130196,0.41918504,0.40931845,0.39488533,0.37932885,0.36418048,0.3501757,0.34059843,0.34117326,0.3567671,0.38512143,0.4166448,0.43998215,0.4507757,0.4550968,0.46093524,0.47025576,0.4754853,0.4720147,0.46462962,0.46427986,0.47408438,0.48380065,0.48245242,0.4691793,0.454664,0.44568285,0.4401979,0.4336569,0.42945972,0.43421006,0.44519243,0.44753292,0.4311547,0.4050636,0.39089206,0.40000036,0.42275468,0.4427824,0.45531777,0.46776792,0.48486272,0.5004685,0.50812125,0.5112353,0.51968664,0.53554755,0.547291,0.54141104,0.5146976,0.47748527,0.44361258,0.42177832,0.41398227,0.41771734,0.4289328,0.44144225,0.4501693,0.45452645,0.46106598,0.47679153,0.5004981,0.5208691,0.52633995,0.51689893,0.5010641,0.48698118,0.47203732,0.45145202,0.42366752,0.39630568,0.3765576,0.3673896,0.36577794,0.36947966,0.37911978,0.3952072,0.4139681,0.4281082,0.43433845,0.43489003,0.4347099,0.43352285,0.42852852,0.41955316,0.4135284,0.41808116,0.43330884,0.45005798,0.45712948,0.4505626,0.43467894,0.41741386,0.40386173,0.39715412,0.39982995,0.41501328,0.44106135,0.4709419,0.4949812,0.50932187,0.51479644,0.51325256,0.50140405,0.47903624,0.45220134,0.4335067,0.428552,0.4349804,0.4461304,0.46052203,0.47625336,0.4865714,0.47958305,0.45199323,0.41431427,0.38517165,0.37573293,0.3836851,0.399206,0.4145607,0.4268476,0.43390858,0.43360212,0.42809713,0.4268168,0.43633917,0.45158207,0.455488,0.43880007,0.40827134,0.38179144,0.3695613,0.3690388,0.37384224,0.38256463,0.40057778,0.42981303,0.46679997,0.50200546,0.52968,0.54556984,0.5468488,0.5267264,0.4858179,0.4374487,0.40395734,0.39854607,0.41345796,0.4298871,0.4325597,0.4212674,0.40322196,0.38604674,0.37289277,0.36501375,0.3636781,0.36883602,0.37760913,0.38509786,0.38762602,0.3847297,0.37745222,0.36681786,0.35426798,0.34456632,0.34538987,0.36366788,0.39994445,0.44789752,0.4975767,0.5400822,0.5681782,0.5747691,0.5547057,0.5094507,0.45021203,0.3923546,0.34763882,0.32193053,0.319381,0.34286633,0.38694048,0.43456903,0.46607265,0.47483197,0.4677275,0.45483637,0.43673134,0.41370878,0.3934163,0.39261582,0.4167585,0.45398307,0.48120546,0.48788738,0.47823024,0.46426392,0.44983757,0.43505928,0.42129397,0.41539955,0.420532,0.43265224,0.44378796,0.4521242,0.46252087,0.4782751,0.49318182,0.4959807,0.48259893,0.45996726,0.43868974,0.42297515,0.411333,0.4025638,0.39878964,0.40117598,0.40642428,0.40984786,0.4119817,0.42064902,0.44074675,0.46633932,0.48080418,0.47509727,0.45517313,0.43784,0.43205762,0.4344267,0.43612638,0.4336555,0.43008587,0.42923713,0.43207395,0.43649518,0.43998638,0.4406658,0.4384837,0.4347358,0.43204474,0.4314271,0.4319609,0.4293879,0.42109275,0.4076985,0.39656392,0.39546844,0.409067,0.4330641,0.45979643,0.48072922,0.49226007,0.4914525,0.47822025,0.45312548,0.4219669,0.39152882,0.36821115,0.354761,0.35348812,0.36918965,0.40488282,0.45484075,0.5003039,0.5218531,0.5138013,0.48772016,0.46082482,0.44214627,0.43460497,0.44015816,0.46148852,0.49226996,0.51519126,0.5126704,0.48143682,0.43481275,0.39113417,0.36180818,0.34987822,0.35460672,0.3733407,0.39968836,0.42354926,0.439129,0.44959283,0.46334755,0.48090473,0.49091244,0.4802105,0.44917142,0.4124775,0.3862011,0.37453723,0.37190476,0.37283984,0.3768246,0.38459086,0.39225903,0.3972405,0.40223074,0.41650212,0.44139603,0.46762767,0.47982466,0.47510922,0.46224546,0.45365587,0.4505395,0.44896102,0.44743177,0.452047,0.46493474,0.47946706,0.48320177,0.4730445,0.45508802,0.43923843,0.42713785,0.4188079,0.41728112,0.43053293,0.45882723,0.49138084,0.5129204,0.5182569,0.51364166,0.50905514,0.5088701,0.513278,0.5219488,0.53440404,0.54491836,0.54462004,0.5284974,0.50428766,0.48665825,0.48340115,0.4866999,0.47955668,0.45621648,0.4266416,0.4086231,0.40612713,0.41004094,0.4093322,0.4073803,0.4121393,0.42462373,0.43185842,0.4280324,0.42197204,0.430081,0.45237973,0.4709039,0.47008395,0.45362225,0.43834838,0.4329178,0.43033555,0.4214431,0.40721688,0.39710677,0.39583573,0.3980457,0.3965633,0.3879325,0.37534904,0.36111748,0.3477241,0.33649525,0.329734,0.32775506,0.32859597,0.3287506,0.32555473,0.3183991,0.30847278,0.29784524,0.28847924,0.2819462,0.27835903,0.27634168,0.27278256,0.26496348,0.2509484,0.2307583,0.20563293,0.17883666,0.15447502,0.13599928,0.12419405,0.11707408,0.111738116,0.10629823,0.101339936,0.099392235,0.10289493,0.11191335,0.122950435,0.1314063,0.13389583,0.13048966,0.123144776,0.11470127,0.10723417,0.10240581,0.10047264,0.100406826,0.099681586,0.09662642,0.091357075,0.085979424,0.082171954,0.080153815,0.078989826,0.078122735,0.077663645,0.07756601,0.077180594,0.07615437,0.07580045,0.07837239,0.08485385,0.09303858,0.09923738,0.10154721,0.10157925,0.10232511,0.10466573,0.10665095,0.10584873,0.10202136,0.09690378,0.09216267,0.08846446,0.08636364,0.08704247,0.09098392,0.09656211,0.10064397,0.10171262,0.10130566,0.102794714,0.10759563,0.11391356,0.11797034,0.117362745,0.11223356,0.10467284,0.09680546,0.09042134,0.0868021,0.08655661,0.08868355,0.09124035,0.09327675,0.0958563,0.10026956,0.105294645,0.1075643,0.105229706,0.100661,0.098645754,0.10168163,0.10771355,0.11233503,0.11303592,0.110719554,0.10822841,0.10739904,0.10880203,0.11228439,0.11791102,0.1246162,0.1298656,0.13103783,0.12798743,0.12341717,0.12021332,0.11881552,0.11744427,0.114501305,0.11022552,0.10589289,0.102680944,0.10146234,0.103257574,0.10849259,0.115595765,0.12115997,0.12236422,0.11952735,0.11560456,0.11339966,0.11318543,0.11370579,0.11420711,0.11521853,0.11715716,0.11911684,0.11993876,0.1191865,0.11770657,0.11592689,0.11397922,0.11197562,0.111232184,0.11280939,0.11633798,0.119401194,0.120221354,0.11935362,0.1195487,0.1226537,0.12811762,0.13409112,0.13974124,0.14550032,0.15120323,0.15487917,0.154256,0.14923333,0.14259891,0.13757636,0.13456775,0.13017003,0.11953569,0.10068593,0.07663417,0.05389479,0.038010594,0.030553067,0.02931157,0.031042384,0.033564355,0.036163945,0.038824316,0.041606795,0.044386104,0.04682566,0.04851149,0.049291383,0.04952381,0.04992697,0.051034044,0.052800123,0.054668505,0.056032244,0.056638256,0.056614112,0.05630708,0.05599122,0.05584921]