[0.0077123977,0.007519057,0.0071890266,0.0069708135,0.006997964,0.007221053,0.0074801887,0.0076333266,0.007601431,0.007363131,0.0069197775,0.006303893,0.005575198,0.004821217,0.0041156765,0.0035043538,0.0029949506,0.0025792054,0.0022392513,0.0019573444,0.0017152495,0.0015018975,0.0013141958,0.001159051,0.0010441671,0.00097502145,0.0009526732,0.000996902,0.0011635335,0.0015523635,0.0022688957,0.0033865583,0.004917907,0.006857852,0.009496025,0.01381543,0.021796882,0.035477307,0.055667568,0.080693066,0.1074357,0.13279034,0.15524383,0.17436898,0.19038522,0.20354259,0.21435858,0.22299321,0.2287119,0.22935069,0.22247756,0.20687182,0.18410885,0.15806413,0.13350196,0.1139457,0.10082453,0.09347758,0.09010324,0.088687815,0.08782264,0.086953044,0.086209565,0.08602405,0.08680416,0.08884632,0.09200428,0.095596604,0.098333746,0.09901011,0.09702339,0.09263715,0.0865232,0.07935036,0.071740724,0.06447894,0.058491383,0.05439809,0.052005176,0.05020011,0.04739626,0.04252519,0.035778407,0.028746672,0.023352489,0.020779518,0.020808218,0.022408051,0.024450397,0.026331073,0.02777729,0.028878786,0.030236224,0.03351167,0.04027733,0.050278723,0.059741493,0.06359199,0.05876446,0.04708943,0.033457085,0.022656506,0.016500494,0.014178884,0.013771084,0.013854125,0.013860862,0.013751767,0.013482054,0.0128355855,0.011608525,0.009901196,0.008138745,0.0067750015,0.0059783864,0.005564792,0.005254856,0.004902558,0.004588277,0.0044670547,0.0046211667,0.0049543357,0.0052496786,0.0052889674,0.0049797646,0.0043847957,0.0036696491,0.0030024739,0.002483031,0.0021154021,0.0018515975,0.0016384915,0.0014665575,0.0013619107,0.0013659629,0.0014871769,0.0016792897,0.0018592683,0.0019678378,0.0020271863,0.002137563,0.0024294339,0.0029908463,0.0038366113,0.0048924373,0.006019181,0.007027229,0.007714974,0.007974868,0.008088847,0.0091194,0.013138282,0.022834698,0.04061902,0.06702959,0.09913302,0.12965705,0.14902365,0.15020351,0.13340916,0.10641408,0.07973652,0.061333567,0.054650318,0.060024556,0.07594212,0.09877115,0.12316266,0.14397173,0.15876637,0.16759163,0.1709051,0.16774535,0.15699783,0.14023493,0.12340028,0.11501521,0.121317945,0.14246683,0.17138815,0.19846834,0.21629725,0.2236952,0.22308451,0.21666776,0.20402475,0.18437131,0.16059439,0.13836814,0.12304542,0.11487818,0.11081978,0.107306905,0.10392303,0.10197485,0.10248417,0.104405165,0.1059891,0.106173165,0.104931094,0.10168568,0.09509132,0.08464509,0.073258005,0.066471785,0.06859353,0.078792624,0.091846235,0.10232663,0.10807528,0.10967069,0.10820977,0.10424756,0.098608054,0.092819296,0.08811899,0.08466226,0.08147348,0.07799911,0.07436448,0.07137621,0.06926435,0.06775113,0.0661729,0.06408609,0.061316878,0.058124498,0.055276584,0.05365403,0.05371885,0.0550531,0.056788977,0.057829004,0.057451636,0.055503443,0.05284697,0.050666805,0.04953058,0.048822034,0.047526438,0.04555713,0.043851096,0.043456066,0.04417582,0.044852246,0.044347923,0.04266273,0.04085304,0.04028375,0.04176161,0.04506703,0.04911584,0.052668855,0.055134982,0.056989312,0.059187412,0.06231278,0.06586925,0.06873033,0.06982741,0.06889788,0.066336,0.06304708,0.060039204,0.058421437,0.05903298,0.062241033,0.067655884,0.07447511,0.0817332,0.08847731,0.093409546,0.09525915,0.09352755,0.089381784,0.08510083,0.082789786,0.08332648,0.0863797,0.09105551,0.096096985,0.10024346,0.10260653,0.10341862,0.10361057,0.10392652,0.10405802,0.1032317,0.10110104,0.098213136,0.09521874,0.09212672,0.08800694,0.08175466,0.07272665,0.061327875,0.048776567,0.03678039,0.026838174,0.019837962,0.015856242,0.01436787,0.014551747,0.015601973,0.016892575,0.01802863,0.018744104,0.018781237,0.017967656,0.0163373,0.014277651,0.012294441,0.0108386455,0.010045555,0.0098038865,0.009806129,0.009774142,0.009567956,0.009228375,0.008857403,0.008501589,0.0081318235,0.007723426,0.0073155686,0.0069843554,0.0067566675,0.0066043935,0.0065493877,0.0068461173,0.008043687,0.010793456,0.015439938,0.021639394,0.02841342,0.034554202,0.039243933,0.04225332,0.043882105,0.044540614,0.04449899,0.04362729,0.041462075,0.037664324,0.03379112,0.03485617,0.049364503,0.08374062,0.13658883,0.19567151,0.2455496,0.2760333,0.28813186,0.28991362,0.29113957,0.29863462,0.31518656,0.33961305,0.36682603,0.389769,0.40021017,0.39233744,0.36528072,0.32752347,0.29319358,0.27504504,0.2748662,0.28587437,0.29933846,0.31181768,0.32196566,0.32762203,0.32720152,0.32409707,0.32638612,0.3390454,0.36098698,0.38678363,0.41294575,0.43767834,0.45876172,0.4733348,0.4803015,0.48279786,0.4848005,0.48883995,0.4934119,0.4954791,0.49163112,0.47926462,0.45611608,0.41888228,0.365698,0.29876676,0.2304703,0.17973967,0.16523634,0.19161989,0.24688292,0.30635765,0.34808803,0.36226213,0.35531202,0.34077135,0.3304064,0.32582465,0.32181022,0.3112079,0.29206812,0.2660747,0.23640795,0.20537217,0.17592865,0.15236612,0.13743545,0.13075714,0.12874739,0.12894295,0.13048892,0.13352549,0.13654484,0.13759261,0.13573696,0.13232736,0.12959486,0.12918659,0.13119894,0.1342156,0.13548128,0.1317327,0.120972365,0.10484757,0.08908505,0.08069756,0.0833234,0.09456363,0.10788113,0.116916455,0.11904592,0.115315594,0.108608715,0.1014899,0.09571135,0.092227094,0.091456704,0.09298865,0.09581446,0.09871093,0.10095957,0.10218511,0.10234028,0.10154891,0.100542486,0.10051206,0.102687396,0.10756054,0.11435624,0.12104711,0.1251496,0.12529199,0.12226322,0.11860392,0.11656793,0.1164378,0.11637023,0.11396307,0.10805434,0.09961519,0.09112116,0.08463869,0.0803336,0.076792635,0.07299817,0.0696643,0.06828689,0.069487266,0.07224352,0.075200744,0.0775853,0.07939622,0.08044399,0.08019542,0.07836232,0.07553782,0.07288373,0.0709837,0.06952858,0.067837685,0.06572848,0.0633434,0.060788974,0.05801436,0.05516343,0.05245332,0.04975872,0.046492547,0.042147547,0.036938574,0.031683378,0.027185785,0.02365013,0.021156264,0.020279251,0.02250199,0.028711831,0.037939068,0.046546254,0.050865587,0.04951715,0.0451549,0.04170747,0.041665096,0.04378706,0.04510287,0.04304944,0.03764153,0.030623743,0.0245192,0.020990806,0.020481454,0.021981813,0.023912095,0.025021093,0.02506569,0.024543496,0.024003478,0.023609748,0.023205884,0.022666998,0.022041714,0.02146977,0.021050671,0.020781843,0.020579522,0.020265931,0.020124907,0.021706076,0.028455758,0.04365608,0.06727245,0.093358666,0.11364907,0.124047644,0.13017495,0.14417899,0.1751538,0.22096308,0.26820937,0.30179325,0.31263444,0.30094957,0.2718285,0.23274525,0.19137283,0.15573335,0.13273829,0.12732665,0.14000499,0.16473009,0.18885426,0.1992702,0.19008143,0.16561283,0.13563429,0.10898756,0.0916383,0.08748353,0.09823915,0.12091565,0.14792758,0.17056097,0.1835588,0.18695271,0.1844664,0.18092431,0.179528,0.18088157,0.18304266,0.18349637,0.18103383,0.17675881,0.17277981,0.17034034,0.16868049,0.1662314,0.16214468,0.15723877,0.152945,0.1502549,0.14893767,0.1481731,0.14714031,0.1457143,0.1441384,0.14276338,0.14151792,0.14018182,0.13853581,0.13677822,0.1353926,0.13487059,0.13507338,0.13514073,0.1341945,0.132503,0.1315784,0.13296212,0.13659507,0.14063084,0.14274247,0.14177203,0.13843434,0.13442795,0.13123499,0.12893964,0.12652186,0.122839004,0.11831855,0.11538869,0.116900824,0.12338862,0.1316734,0.13678978,0.13511121,0.12645404,0.11325208,0.09893728,0.08619576,0.076495916,0.06989477,0.06571523,0.063051276,0.061288565,0.06000461,0.058896717,0.057737958,0.056579363,0.05608274,0.057364594,0.061392263,0.06759634,0.07400922,0.07841078,0.0802452,0.0800756,0.078044616,0.07331077,0.065555625,0.056587685,0.04915824,0.045024514,0.0437005,0.044283405,0.047159407,0.054725986,0.06854815,0.08706277,0.104712635,0.11594024,0.11820287,0.113340475,0.10480052,0.0958522,0.08864936,0.08433911,0.08266466,0.081935644,0.08033634,0.07739591,0.07433111,0.07250055,0.071758755,0.070221074,0.06592292,0.058809604,0.05148345,0.04800712,0.05137201,0.061404448,0.07437915,0.085145414,0.08989698,0.08782947,0.08056024,0.07055791,0.060011636,0.050402522,0.042462815,0.036240503,0.031471003,0.027983107,0.025698515,0.024348075,0.023396352,0.022357387,0.021119727,0.01986277,0.0188466,0.018209781,0.018042214,0.018235495,0.018562526,0.018673342,0.01856023,0.018544568,0.019224051,0.020916866,0.02359508,0.026882358,0.030425081,0.033935025,0.037223246,0.039983496,0.04177374,0.04199706,0.04019164,0.036302555,0.030991286,0.025710091,0.02280598,0.025413655,0.03652011,0.056702334,0.08185121,0.10372593,0.11453268,0.11223236,0.10151079,0.08890987,0.077819675,0.06772635,0.05828114,0.05097642,0.04819028,0.050141234,0.055791944,0.063858144,0.073797174,0.08408705,0.09269515,0.09823186,0.10168464,0.10509684,0.109802954,0.11518369,0.11984575,0.122949004,0.1247867,0.12597378,0.12642728,0.125403,0.12203499,0.11614952,0.10757089,0.09617599,0.08204755,0.06724452,0.055362135,0.05016172,0.05242269,0.059642714,0.06728532,0.07215556,0.07326013,0.071617104,0.06815335,0.06344151,0.057365213,0.050062627,0.041863423,0.033871636,0.027700886,0.02547173,0.028848244,0.038290855,0.05208984,0.066866376,0.07877017,0.0854714,0.086836934,0.08479785,0.082068495,0.08112264,0.08285799,0.08629215,0.08914742,0.09010122,0.08993882,0.09115479,0.09549484,0.10284495,0.11134236,0.11877754,0.12316813,0.12348022,0.12008098,0.114859484,0.10998281,0.10655632,0.10420645,0.101933695,0.0988574,0.09438643,0.088249184,0.080804266,0.073206134,0.06671859,0.061801195,0.057779804,0.05361329,0.048862457,0.044169053,0.040838096,0.04003869,0.04203819,0.04606244,0.05071534,0.05483519,0.05793309,0.060078964,0.061340254,0.06162403,0.06102142,0.06011504,0.0597945,0.060624227,0.06259337,0.06527605,0.06824813,0.07119266,0.0738365,0.07585922,0.07699228,0.07713577,0.07645303,0.075294465,0.074097104,0.07319748,0.07274198,0.07258635,0.07238916,0.07174707,0.070576854,0.06921884,0.068333216,0.06824556,0.068643786,0.06866264,0.067622624,0.0654715,0.06269064,0.059646275,0.056063145,0.05121753,0.04467954,0.037034348,0.029695982,0.024004785,0.02037212,0.018233722,0.016734065,0.015337699,0.014081574,0.013369717,0.013818788,0.015914937,0.019770876,0.024749963,0.029551676,0.032489095,0.032302264,0.029190557,0.02557239,0.026057832,0.0352561,0.05589673,0.08681875,0.12444504,0.16278796,0.1945778,0.2110792,0.20638436,0.18217373,0.14967369,0.124381214,0.117299356,0.1292402,0.1516969,0.17196484,0.17994107,0.17225176,0.15546332,0.14411597,0.1579498,0.21077545,0.30194947,0.4085524,0.49784192,0.5435152,0.5433106,0.51309216,0.4726646,0.43110892,0.3877149,0.34058377,0.2926021,0.25064543,0.21996182,0.20144273,0.19163398,0.18591668,0.18085556,0.17508167,0.16808493,0.1593589,0.14869542,0.13768278,0.13007043,0.13059153,0.14156006,0.16066287,0.18086644,0.19513617,0.20040835,0.2001068,0.20076932,0.20917629,0.22807617,0.25598145,0.28674647,0.31347868,0.33087382,0.33728805,0.3331635,0.31975877,0.29871944,0.2722458,0.24360265,0.21623744,0.19321413,0.17600544,0.16473852,0.15902233,0.15872753,0.1634504,0.17122574,0.17810236,0.17975475,0.1742879,0.1644997,0.15679207,0.15702046,0.16617465,0.17985244,0.19191785,0.19820929,0.19750161,0.18995023,0.17617065,0.157708,0.1373818,0.11873758,0.10447382,0.0956586,0.09141279,0.09009967,0.09082087,0.094808705,0.10414457,0.11929858,0.13696975,0.15222885,0.16161579,0.16571723,0.16711682,0.16841877,0.1703884,0.17256491,0.17296527,0.16837962,0.15568157,0.13482396,0.110863805,0.09213971,0.084693484,0.088132925,0.096001804,0.10172361,0.102740355,0.10216708,0.10609648,0.12091348,0.14894162,0.18573779,0.22065918,0.24303262,0.24788861,0.23762284,0.21778291,0.19337781,0.16725516,0.1416168,0.11904844,0.103022546,0.09692233,0.10341296,0.12378881,0.15796398,0.2027749,0.2515315,0.29506305,0.3264731,0.3436912,0.3493396,0.34791207,0.34364346,0.33991396,0.337854,0.3367586,0.33409664,0.32879186,0.32342365,0.32619536,0.3475227,0.3909651,0.44667742,0.49208054,0.50816184,0.48989943,0.45109102,0.40927193,0.37718776,0.35556486,0.34014532,0.32466865,0.30553973,0.28108978,0.25253758,0.222609,0.19455318,0.17027135,0.15003465,0.13290308,0.117755465,0.10392054,0.09156945,0.081763804,0.07598362,0.07467523,0.076218955,0.07720845,0.0749062,0.068870686,0.061250675,0.055556025,0.056354683,0.06818142,0.09263364,0.124905504,0.15418875,0.17023955,0.17011815,0.16029233,0.15047865,0.14747171,0.15129156,0.15795398,0.16250087,0.16243786,0.15853208,0.15447344,0.15520622,0.1632403,0.17748684,0.19326818,0.2061251,0.21216498,0.20790954,0.19090565,0.1630059,0.1320312,0.10698301,0.09271892,0.08800703,0.089304,0.09388705,0.10103437,0.1121034,0.12963773,0.15527074,0.1862392,0.21571441,0.23559022,0.24112189,0.23208797,0.21372509,0.19500108,0.18561803,0.18975471,0.2032793,0.21673095,0.22218148,0.21736228,0.2042379,0.18618141,0.16602625,0.14626165,0.12862714,0.11405931,0.10317415,0.0974892,0.09996439,0.11320001,0.13668503,0.16498625,0.18977948,0.20451671,0.20792478,0.20478861,0.20226975,0.2067517,0.21976827,0.23820902,0.25573015,0.26722202,0.27110085,0.26910725,0.26382828,0.25638732,0.24648298,0.23376597,0.21962912,0.2072797,0.19998169,0.19953196,0.20566587,0.21705939,0.23112893,0.2439558,0.25087368,0.24859177,0.23684698,0.2184435,0.19869359,0.18495792,0.18418758,0.19937767,0.22576074,0.25380072,0.27410457,0.28497836,0.29299745,0.311702,0.35049036,0.40653157,0.45966622,0.48578966,0.47152507,0.42458275,0.36517036,0.31272677,0.2754698,0.25075766,0.23137218,0.21170998,0.19011249,0.16762526,0.1461383,0.12842482,0.1172356,0.11400411,0.11630878,0.11966434,0.12126113,0.12240099,0.12646782,0.13391274,0.1421795,0.14774084,0.15024896,0.15059812,0.1493722,0.14535606,0.13788633,0.12767555,0.11639144,0.10515934,0.094459094,0.08486449,0.07776194,0.07501814,0.07812508,0.08688574,0.09912927,0.11143675,0.12124478,0.12796564,0.13278162,0.13701527,0.14149694,0.1469583,0.15476489,0.16619362,0.18132204,0.19847906,0.2154227,0.22993916,0.24032478,0.24503255,0.24411575,0.23942022,0.23417991,0.22988456,0.22580147,0.21960415,0.21085681,0.20110053,0.1933087,0.18906392,0.18848966,0.19032206,0.1932084,0.19580615,0.19709243,0.19669582,0.19539978,0.19478196,0.19624287,0.1999764,0.20523365,0.21073246,0.21564601,0.21981323,0.22483273,0.23354495,0.2486571,0.2692032,0.28914335,0.29924685,0.2925104,0.26846364,0.23346585,0.19656835,0.16537946,0.14353274,0.132199,0.13051395,0.13666494,0.14690547,0.15783137,0.16798393,0.1785747,0.18999915,0.19895732,0.19963676,0.18962206,0.17368919,0.16105376,0.15707012,0.15920524,0.15994269,0.1545524,0.14386205,0.1321617,0.12282919,0.117455326,0.1166631,0.120329656,0.12689596,0.13332893,0.13744025,0.13838081,0.13681267,0.13293149,0.12829551,0.12512442,0.12636589,0.13196225,0.1397356,0.14741637,0.15778317,0.1791387,0.2206647,0.2817763,0.34784007,0.39497086,0.40738904,0.38504493,0.3436216,0.29938814,0.2627231,0.23462056,0.21260484,0.19373254,0.17633194,0.1601396,0.1452142,0.13226594,0.121618815,0.113760866,0.10904678,0.107757844,0.109486185,0.11316013,0.117450796,0.121599525,0.124844946,0.1265996,0.12581165,0.122770995,0.11855722,0.11553147,0.1150017,0.11764019,0.12268874,0.12888503,0.13381362,0.13502382,0.13142402,0.1244716,0.11721224,0.11201671,0.109303355,0.108035095,0.1069274,0.10542617,0.10379342,0.1030852,0.104911275,0.11101688,0.12319076,0.14155571,0.16402872,0.18553358,0.20106089,0.20722558,0.20381267,0.19244908,0.17637803,0.15964472,0.14606951,0.13765197,0.13402201,0.13373135,0.13578784,0.14056395,0.14876051,0.15982328,0.17119557,0.17935608,0.18262637,0.18209463,0.18117966,0.18230218,0.18577611,0.18947451,0.19155426,0.19132972,0.19008142,0.18915604,0.18955624,0.19090797,0.1925283,0.19371729,0.194452,0.19466783,0.19315617,0.18710582,0.17380936,0.1543573,0.13636164,0.13135064,0.14759122,0.18286441,0.22514701,0.25993922,0.27948537,0.28562117,0.28695965,0.29112294,0.300063,0.30844536,0.31026006,0.30300644,0.2896792,0.27329338,0.25528705,0.23711105,0.22346383,0.22085994,0.23199181,0.25363386,0.27856687,0.30174157,0.3224384,0.34331417,0.36551514,0.38621524,0.39937887,0.40038142,0.389331,0.37073335,0.35046753,0.33247295,0.31836894,0.30724457,0.29673982,0.28316864,0.26461577,0.24533594,0.23801593,0.25924918,0.3152796,0.3946952,0.46815714,0.50988144,0.5081692,0.47573686,0.43241382,0.39639512,0.37011835,0.34810236,0.32352394,0.29707393,0.27392226,0.2575715,0.24681418,0.23758967,0.227863,0.21827824,0.21122746,0.20773585,0.20694661,0.20868339,0.21684144,0.24306898,0.29635623,0.37520495,0.4544495,0.5024019,0.4941199,0.43683505,0.3602982,0.30633113,0.2983112,0.33458364,0.38585255,0.4196185,0.4143618,0.37369955,0.31482905,0.2595554,0.22122048,0.20563151,0.21017419,0.22700626,0.24400799,0.2528313,0.25347674,0.25641537,0.27083865,0.2971638,0.32236004,0.33268115,0.32144138,0.29528677,0.2653999,0.24215783,0.22917528,0.2255712,0.22751434,0.23127453,0.2338251,0.23469812,0.23791184,0.25335693,0.29124117,0.3522773,0.4215908,0.47479615,0.49383822,0.47656503,0.4360938,0.38848588,0.34515813,0.30963567,0.28170514,0.2605391,0.24593347,0.23770326,0.23432778,0.23380697,0.23409472,0.23412348,0.23309052,0.230146,0.2243405,0.21594608,0.20906357,0.2122391,0.23645823,0.28553018,0.35104728,0.40983787,0.43944442,0.42883608,0.3907938,0.35062012,0.33442605,0.3503267,0.3887442,0.42734012,0.44741812,0.44039023,0.41291797,0.37845746,0.35135475,0.33827296,0.33955956,0.35134313,0.36795965,0.38192734,0.3854605,0.37588874,0.35966715,0.34754908,0.34619236,0.35016575,0.34974346,0.33759764,0.31691393,0.29430655,0.27685118,0.26622823,0.26125088,0.2577621,0.2526082,0.2446795,0.23814327,0.2414784,0.2668347,0.320312,0.396003,0.4711397,0.5207245,0.52946013,0.50332296,0.45973918,0.41792107,0.38742757,0.36895943,0.35735682,0.34769568,0.338218,0.3306099,0.32673106,0.326246,0.3261728,0.32412204,0.3194528,0.31354067,0.30634752,0.29741108,0.2875342,0.28424188,0.2975327,0.33262482,0.37893185,0.4150146,0.420581,0.3939921,0.35289195,0.32556358,0.3291423,0.36085442,0.3969966,0.41501737,0.4051181,0.37712047,0.3443837,0.31643847,0.29427752,0.27706298,0.26389387,0.2542796,0.2472923,0.24237879,0.24102412,0.24678163,0.26312625,0.2888013,0.31605837,0.3340021,0.33679828,0.326872,0.31200323,0.2982985,0.28780627,0.28055778,0.27669856,0.27692935,0.2802361,0.28475773,0.29032657,0.30169642,0.32755312,0.3710978,0.4241885,0.4659636,0.47900102,0.45859793,0.41856644,0.37741542,0.3490319,0.33512902,0.3307446,0.32987344,0.32974765,0.329664,0.32886657,0.32619804,0.32126245,0.31507525,0.30900103,0.30354366,0.2978771,0.2909412,0.2836835,0.28097382,0.29193842,0.3229128,0.3711482,0.41921386,0.44658586,0.44001177,0.40706185,0.36801478,0.34862277,0.36003074,0.3976357,0.43744037,0.45805636,0.44684112,0.41244566,0.3678322,0.32631215,0.29077283,0.26192632,0.23875916,0.22200586,0.2121629,0.21129413,0.22305839,0.25090012,0.29092428,0.33090675,0.3544055,0.3546503,0.3369074,0.31504878,0.29802814,0.28814697,0.2818749,0.27634135,0.26909474,0.25966355,0.24905412,0.24154808,0.24328123,0.26125607,0.29826793,0.35010192,0.40329495,0.44286227,0.45888832,0.4525632,0.43109348,0.40231785,0.3697091,0.33347544,0.2941043,0.2555204,0.2256288,0.21192525,0.21630983,0.23271579,0.25127053,0.264364,0.2698821,0.26879647,0.2618498,0.24895717,0.23387133,0.22662586,0.2414542,0.28317404,0.34090602,0.3882121,0.40422368,0.38386878,0.3445941,0.30970466,0.30007985,0.31895718,0.35634002,0.38935277,0.40137386,0.3854947,0.35183406,0.31391272,0.28488675,0.26856986,0.26340485,0.26332343,0.2631335,0.25918075,0.25168565,0.24410777,0.24321832,0.25234008,0.2684569,0.28068963,0.281203,0.2688553,0.25119305,0.23506252,0.22499435,0.22108762,0.2223301,0.22558802,0.22717552,0.22314663,0.21377407,0.20545113,0.21191931,0.24368258,0.2990223,0.3578311,0.3958725,0.39895287,0.37285587,0.33388638,0.29746082,0.2703812,0.25311494,0.24407224,0.24160576,0.24320936,0.24543108,0.2456541,0.24447829,0.24501626,0.24917065,0.255214,0.25853166,0.25682914,0.25142762,0.24650149,0.24376512,0.2410459,0.23304802,0.21585023,0.19048774,0.16266815,0.13932572,0.12457082,0.11966171,0.12523775,0.14185047,0.16865318,0.20094305,0.23195748,0.25512087,0.26684323,0.26656505,0.2558422,0.23856111,0.22004454,0.20748569,0.20542453,0.21390142,0.22613423,0.23455977,0.23495533,0.23006602,0.22474593,0.22241193,0.2222883,0.22229844,0.22165175,0.22186576,0.2254433,0.2324363,0.2402711,0.24373297,0.23937601,0.22625597,0.20780368,0.18881734,0.17399083,0.16455562,0.15850472,0.1517573,0.1412964,0.12649061,0.10896229,0.090988375,0.07441727,0.06025142,0.048850443,0.0402215,0.03410745,0.030180722,0.028134383,0.027963554,0.029896334,0.03417543,0.04071417,0.04895127,0.058064956,0.06717823,0.07562545,0.082868464,0.08849654,0.0919472,0.0923269,0.08836374,0.07915237,0.06575251,0.052746862,0.04823928,0.06068365,0.093609296,0.14187025,0.19304417,0.23440428,0.2592502,0.26941672,0.27090064,0.26977196,0.2684952,0.26769134,0.2670782,0.2674912,0.26914552,0.27138817,0.27200985,0.26942968,0.2631732,0.2546188,0.24553578,0.23790683,0.23269767,0.23007382,0.22895634,0.2282754,0.22739322,0.22686929,0.22707176,0.22747351,0.22615165,0.22193749,0.21565539,0.21010679,0.20766,0.2088461,0.21247585,0.21694303,0.22089355,0.22350349,0.22455001,0.22471331,0.22502045,0.22634722,0.22868447,0.2316088,0.23445809,0.23696578,0.23888652,0.24027401,0.24094869,0.240957,0.23994265,0.23783368,0.23450933,0.23085068,0.22786343,0.22686845,0.22806668,0.23161097,0.23667853,0.24280697,0.24879329,0.25474635,0.26125565,0.26963714,0.2794726,0.28874195,0.29491663,0.29691613,0.29536965,0.29120776,0.2852299,0.27830848,0.27191934,0.2667891,0.2626779,0.2589376,0.25583288,0.2527258,0.24758197,0.23910893,0.23211026,0.23641737,0.2601652,0.3013767,0.34911907,0.3898343,0.41582593,0.42601654,0.42394605,0.41127786,0.3876654,0.3525667,0.31188634,0.274905,0.25202736,0.24836564,0.26947513,0.31515986,0.3801471,0.4453063,0.49289736,0.51104957,0.5034305,0.47701505,0.43962863,0.39565977,0.35220727,0.31964442,0.31164232,0.33547434,0.38620448,0.44196525,0.47863472,0.48123196,0.45477235,0.41433358,0.375394,0.34462205,0.3222219,0.30692002,0.30002788,0.30321088,0.31439748,0.32493937,0.3252803,0.3098215,0.28249422,0.2544978,0.24318057,0.26261726,0.3147112,0.3815744,0.43562114,0.45559406,0.4392065,0.3983685,0.3482692,0.30000898,0.26072738,0.2379558,0.23978515,0.27248397,0.33034563,0.39447471,0.43833888,0.44843987,0.4293042,0.3998085,0.37364796,0.35621154,0.3450823,0.3390784,0.33727002,0.3387246,0.3399872,0.3374783,0.32915905,0.3165746,0.30273953,0.29272756,0.29340038,0.31607237,0.36521682,0.43282497,0.49183735,0.5186978,0.5027702,0.45747796,0.40013298,0.34617424,0.30038705,0.26727077,0.25202832,0.26321584,0.3019649,0.35887977,0.4100497,0.4348836,0.4241322,0.39026377,0.35099736,0.32114258,0.30206883,0.29039377,0.28315625,0.2827195,0.29062235,0.30328208,0.31031966,0.30303714,0.27938032,0.24811889,0.22364539,0.22352163,0.2575693,0.32071924,0.38828683,0.43092898,0.43243667,0.40010536,0.3545059,0.3130205,0.28103662,0.25687724,0.24181284,0.24558389,0.27641764,0.3308393,0.38638958,0.41965023,0.41936812,0.39555076,0.3635385,0.3348261,0.312475,0.2986563,0.29655442,0.30833068,0.330821,0.35556397,0.37304413,0.3781066,0.3722352,0.36158463,0.35452852,0.35924187,0.38252795,0.42322934,0.47062755,0.5050897,0.5123078,0.48895574,0.4467467,0.3993926,0.3574247,0.32264057,0.2972995,0.2871766,0.3029846,0.34634164,0.40557125,0.45505226,0.47669932,0.46535096,0.43431678,0.3972772,0.36535215,0.34027985,0.3228701,0.3137014,0.31447673,0.32264212,0.32917628,0.3225923,0.2973659,0.25953975,0.22506805,0.2123326,0.23549788,0.293872,0.3705155,0.4343052,0.46178412,0.44638813,0.40364495,0.3532823,0.3122481,0.2865742,0.278482,0.28685293,0.31432027,0.35865554,0.41263282,0.45578048,0.47276226,0.4574313,0.42362085,0.38669685,0.35894683,0.34028912,0.32777956,0.31840944,0.31367114,0.3136636,0.31363273,0.30345938,0.2774437,0.23953086,0.20369829,0.18488634,0.19627841,0.24257316,0.31696132,0.39621094,0.4528601,0.47031477,0.45277873,0.4175781,0.38076243,0.34998146,0.32653356,0.313049,0.31737068,0.34591508,0.3957785,0.44776484,0.47919783,0.47626552,0.44485033,0.4014435,0.36226073,0.33440217,0.3176857,0.30971768,0.31016508,0.31968987,0.33718178,0.35716748,0.3730795,0.37980995,0.37695178,0.36898184,0.36627164,0.380805,0.41488335,0.45543167,0.4782823,0.47021613,0.4349433,0.3918036,0.35468844,0.32972786,0.31364658,0.30575487,0.30861798,0.32829097,0.36533734,0.4104708,0.44680393,0.4612197,0.4526726,0.43074977,0.40720627,0.38922784,0.3787237,0.37423682,0.37370655,0.3754438,0.37819716,0.37973514,0.3772343,0.3692954,0.35762605,0.347707,0.3465958,0.36252308,0.3963988,0.44023514,0.47336408,0.4799641,0.4547943,0.41172525,0.36755654,0.33564588,0.31685996,0.30836725,0.30847755,0.3228521,0.35430756,0.3978201,0.4347961,0.45005855,0.4380453,0.4099878,0.3793311,0.35637185,0.3424398,0.3353653,0.33249274,0.33223042,0.33136225,0.32383934,0.30355978,0.27124286,0.23470871,0.20617849,0.195239,0.21103029,0.25666523,0.32748035,0.40166533,0.4537889,0.46468925,0.43801868,0.39098725,0.3461075,0.31582943,0.30304804,0.3039885,0.3175994,0.34442064,0.38300326,0.42224073,0.44759977,0.44895062,0.42916796,0.39918256,0.37067375,0.34987828,0.3379754,0.33436966,0.33859205,0.34930345,0.36209142,0.36983696,0.3682566,0.35856333,0.3472854,0.34105384,0.34728083,0.37197283,0.41566026,0.46501735,0.4969739,0.4925437,0.45222867,0.39440677,0.34249774,0.30964717,0.29681876,0.29895374,0.31485873,0.34789237,0.3975081,0.45129552,0.48640147,0.4863805,0.45119056,0.39838588,0.34699777,0.30902255,0.28554034,0.27516294,0.27757356,0.29446194,0.32281384,0.35361412,0.37536272,0.38279048,0.37893632,0.37243772,0.3719748,0.38469195,0.41134802,0.44548178,0.47106984,0.47607145,0.45617795,0.42240962,0.38677716,0.36003947,0.3424282,0.3333062,0.33195654,0.34504807,0.37520882,0.41820106,0.45487764,0.4685655,0.45052922,0.41108063,0.36503744,0.3277808,0.30438387,0.2948631,0.29486832,0.30281138,0.31757936,0.3373057,0.35505453,0.3642483,0.36176476,0.35231468,0.34318802,0.34455526,0.36152807,0.3935369,0.42607954,0.44263044,0.43169662,0.39994597,0.36239994,0.33398476,0.31907547,0.31621096,0.32347718,0.34351242,0.37760124,0.42160192,0.46194366,0.48580524,0.4858282,0.46651056,0.43638265,0.40612426,0.3823848,0.3696449,0.36775136,0.37449792,0.38355824,0.38708648,0.37646165,0.3497169,0.31197143,0.2750728,0.2504715,0.24815722,0.2723604,0.3182753,0.36916372,0.4037172,0.4089756,0.38683653,0.35061988,0.31399348,0.28560802,0.26726577,0.2596005,0.26511213,0.2893537,0.3306916,0.37676084,0.4057785,0.40580252,0.37910092,0.34183708,0.3063986,0.27897665,0.2588601,0.24630718,0.24199958,0.24520802,0.25037205,0.24942721,0.23746383,0.21800344,0.19973381,0.19228053,0.20196478,0.23650809,0.2969037,0.37459064,0.4422958,0.47571513,0.4625268,0.41682974,0.35932323,0.3093636,0.27225533,0.24924485,0.24129277,0.25492904,0.29102018,0.34149036,0.38481835,0.40407798,0.39149272,0.35682508,0.31342056,0.27530745,0.24847437,0.23475216,0.23173921,0.23747127,0.24807458,0.2587528,0.26260307,0.25804976,0.24793667,0.24106483,0.24533875,0.27079487,0.3215568,0.3927573,0.46183172,0.5032785,0.50107974,0.4626057,0.40805402,0.35987493,0.3302784,0.32197443,0.33107337,0.35365668,0.38593516,0.422163,0.4512792,0.46256158,0.45273373,0.429554,0.4050866,0.3878537,0.37920418,0.37676755,0.3776634,0.38113376,0.38529685,0.38728392,0.38199124,0.36835817,0.34879228,0.33023167,0.31867757,0.32195428,0.34600687,0.3915719,0.4457983,0.4869767,0.4970893,0.4741355,0.43173257,0.38741443,0.35237125,0.32925534,0.31820866,0.32224444,0.3460152,0.38684085,0.43124846,0.4580141,0.45566317,0.4272335,0.3901451,0.35878906,0.33957884,0.33032998,0.32929826,0.3372682,0.3536456,0.37200642,0.38094094,0.37279192,0.34947047,0.32155028,0.30227402,0.30260935,0.3311127,0.38607597,0.45350838,0.5047876,0.5178917,0.4854879,0.4227945,0.34968063,0.285353,0.23947088,0.21845432,0.22463672,0.26081797,0.3216312,0.39353704,0.45118415,0.47734126,0.4672967,0.43554428,0.39671323,0.36194155,0.33242103,0.3084601,0.29019776,0.28184518,0.28608516,0.30259398,0.3237257,0.34161988,0.35083345,0.35406518,0.35782668,0.3729159,0.40435687,0.44829705,0.4854432,0.49669436,0.4723501,0.4227977,0.36573926,0.3176258,0.28544497,0.27116504,0.2753785,0.299623,0.3420955,0.3948169,0.44197842,0.46908125,0.46886805,0.4462498,0.41187713,0.3769611,0.34863007,0.32901132,0.31676963,0.30976114,0.30730423,0.30858764,0.30924025,0.3032522,0.28643066,0.2623007,0.24078226,0.2382768,0.26935586,0.33710575,0.42314386,0.49356654,0.5193391,0.49405012,0.4368749,0.37459454,0.32625797,0.2964857,0.28535986,0.29516613,0.3288932,0.37972,0.4298179,0.45937958,0.46227488,0.44571042,0.4237595,0.40403938,0.38896003,0.37712574,0.36895767,0.3654801,0.36753646,0.3736036,0.37955877,0.38028923,0.37370417,0.36192438,0.35233006,0.35245648,0.37036774,0.4047362,0.44753155,0.4781686,0.48331833,0.45726764,0.4138949,0.36727095,0.33068743,0.30513778,0.2909938,0.28838116,0.30345932,0.33681127,0.3822712,0.420983,0.43945166,0.4320468,0.41088244,0.38826635,0.37426063,0.36711526,0.36392438,0.36212632,0.36413404,0.36974677,0.37541425,0.37397456,0.36353806,0.34789658,0.33654097,0.33708584,0.35582343,0.3921083,0.43936327,0.48016024,0.4973618,0.48055542,0.43709245,0.38437644,0.34133664,0.3165176,0.3089187,0.31391844,0.33135864,0.36315915,0.40753695,0.4512191,0.47757825,0.4749126,0.44682947,0.4054934,0.3648933,0.33221462,0.30928043,0.29562458,0.29270187,0.30198005,0.32087746,0.33985052,0.3485775,0.34318414,0.3304853,0.32257912,0.33138895,0.36182192,0.4094123,0.45786753,0.48841405,0.4889816,0.46381792,0.42565903,0.38855088,0.35934412,0.34202477,0.3391372,0.35419035,0.3878514,0.4341421,0.48031163,0.50897694,0.51013476,0.4829599,0.4400064,0.39454997,0.35849223,0.33532152,0.32588837,0.3291097,0.3429813,0.36133447,0.37320006,0.36818072,0.3429059,0.30329382,0.2633997,0.2403944,0.2525815,0.3058853,0.38907346,0.46960112,0.51729035,0.5159862,0.47565594,0.4161125,0.3604988,0.32264394,0.31007946,0.32186761,0.355902,0.40496454,0.46028462,0.50525403,0.52895635,0.5250837,0.5014165,0.46623912,0.4294702,0.39445153,0.3639249,0.33902478,0.32275414,0.31677958,0.32019353,0.32758093,0.33359626,0.3342965,0.331,0.32856393,0.33797517,0.3681123,0.41879094,0.4726087,0.5065057,0.5059313,0.47584847,0.4333023,0.3943828,0.3666912,0.35037458,0.34627923,0.35825023,0.39039716,0.43787536,0.48321542,0.5044184,0.48914704,0.44401073,0.3875908,0.33796027,0.30330166,0.28486955,0.28149197,0.29270694,0.31357422,0.33377337,0.33978164,0.3255845,0.2962223,0.2654002,0.2475348,0.25442812,0.29340777,0.36099315,0.4382082,0.4959112,0.5133222,0.4908469,0.44672418,0.40130898,0.36485648,0.33803916,0.319535,0.3134962,0.3280634,0.36599064,0.41734335,0.4608735,0.4789232,0.46621287,0.43197605,0.38875327,0.34660986,0.31042495,0.2839613,0.27178502,0.27777228,0.29903483,0.3233817,0.33355197,0.32026294,0.28712982,0.25086054,0.22985469,0.24090017,0.2870814,0.35808173,0.42615473,0.46798205,0.47162762,0.44786724,0.41144922,0.37729204,0.34911346,0.32963136,0.3201784,0.32836518,0.356709,0.40086567,0.44115958,0.46036208,0.44829604,0.41322482,0.3672165,0.32352987,0.28767693,0.2630878,0.25107533,0.25422058,0.2718989,0.29877403,0.32286128,0.33368933,0.32655987,0.30771753,0.29010442,0.2911286,0.3230828,0.3848661,0.45631552,0.50788146,0.5179308,0.48538792,0.4275225,0.36666203,0.31939602,0.29305956,0.28970936,0.30955926,0.34977743,0.40114066,0.4475347,0.47306073,0.4710102,0.44622266,0.41123402,0.37675202,0.34929147,0.32925665,0.3170406,0.31373405,0.3214673,0.3372381,0.3516169,0.3537946,0.33956876,0.31492117,0.29226065,0.28598303,0.30686137,0.35585406,0.4191985,0.47254014,0.4956727,0.48405564,0.45104003,0.4138781,0.3839308,0.36087123,0.34336576,0.334582,0.3444927,0.37563458,0.4183501,0.45079926,0.45795783,0.43650815,0.39815554,0.3555107,0.31937122,0.29327425,0.27811643,0.2728027,0.27621856,0.28446743,0.2899815,0.28439018,0.26560125,0.23960553,0.21914019,0.21698982,0.24572806,0.30651668,0.38752005,0.45814753,0.49280092,0.4791925,0.43050173,0.3664969,0.30782938,0.26408756,0.23979922,0.23592223,0.25801548,0.3077574,0.3780475,0.44325197,0.47876576,0.4704843,0.4293671,0.37417015,0.3248762,0.28902128,0.2679009,0.25780258,0.25770673,0.26521266,0.27587834,0.2802509,0.2734885,0.25760254,0.24352826,0.24124537,0.25915983,0.29788426,0.35132608,0.4019841,0.43176436,0.42981005,0.40109965,0.35897532,0.31750682,0.28570256,0.2690624,0.27233723,0.29946974,0.34958413,0.41193438,0.46605393,0.49084446,0.4772785,0.43373227,0.37992072,0.33410588,0.30517673,0.29269668,0.29236865,0.30135038,0.31716397,0.33545598,0.34758434,0.3470554,0.3339803,0.3169104,0.30679175,0.31327608,0.34145415,0.38886523,0.44246164,0.48215237,0.49241683,0.4711678,0.4302508,0.385348,0.34824708,0.32318833,0.3114477,0.31510714,0.33805582,0.378848,0.42826614,0.47011867,0.4932958,0.4926877,0.47184932,0.43521795,0.39093408,0.34643373,0.30942738,0.2843177,0.27321348,0.27465442,0.28331056,0.29234627,0.2967696,0.29564497,0.28953418,0.2794454,0.2683728,0.2623229,0.26741955,0.28372675,0.3046559,0.32134095,0.32905146,0.3288041,0.32403767,0.31751084,0.31002057,0.30264783,0.2970499,0.29459476,0.2945149,0.2942605,0.2918973,0.28722775,0.2817864,0.27664408,0.27217862,0.26812392,0.26455858,0.26167786,0.25925505,0.2567549,0.25377974,0.2507232,0.24812043,0.24607627,0.24412815,0.24207854,0.24039714,0.23964578,0.2396095,0.23931825,0.23808919,0.23635273,0.23509157,0.2347909,0.2347402,0.23410992,0.23275433,0.23149133,0.23072796,0.22965227,0.22669004,0.2211221,0.21425332,0.20861216,0.20634581,0.20773716,0.21137911,0.21468504,0.21526778,0.21165656,0.20458694,0.19656225,0.1910521,0.1902635,0.19397704,0.19952403,0.20346819,0.20374435,0.20099388,0.19840519,0.19993217,0.20773011,0.22055076,0.2342486,0.24413717,0.24740541,0.24382377,0.23506843,0.22306485,0.2096201,0.19678037,0.18768062,0.18522692,0.1897987,0.198124,0.20542097,0.20896918,0.20945533,0.20942257,0.2101983,0.21053897,0.2078348,0.20077471,0.19174974,0.18501246,0.18389799,0.1872475,0.19173734,0.19422746,0.19483723,0.19533654,0.19786756,0.20337696,0.21173342,0.22169793,0.23129068,0.23845877,0.24197872,0.2418266,0.23889184,0.23437117,0.22881556,0.22174484,0.21131842,0.19615333,0.17655145,0.15603735,0.13945818,0.13132419,0.13294213,0.14258458,0.15588911,0.16854107,0.17727655,0.18066524,0.17803489,0.16926312,0.15504707,0.13729538,0.11882756,0.10169,0.087274194,0.0774168,0.076811366,0.09081471,0.12060267,0.15896253,0.1934369,0.21441822,0.2207162,0.21871571,0.21645564,0.21983625,0.23040135,0.24608989,0.26183757,0.2728463,0.27660367,0.2739997,0.26720977,0.25831857,0.24844599,0.23842472,0.22903438,0.22096698,0.21452184,0.2094527,0.20573938,0.2040086,0.2053396,0.20952685,0.2145435,0.21753417,0.21732335,0.21499564,0.21281816,0.2119184,0.21168582,0.21038419,0.20635664,0.19863988,0.18668656,0.17109181,0.1539123,0.13947548,0.1325122,0.13609989,0.14913571,0.16674131,0.18246756,0.19147801,0.19206057,0.18513976,0.17302282,0.15827072,0.14324464,0.12959647,0.11826027,0.10972238,0.10454998,0.103541486,0.107061796,0.114271976,0.122709505,0.12935229,0.13208193,0.13091362,0.127736,0.12502396,0.124149464,0.124684416,0.12511751,0.12445866,0.12291912,0.12152138,0.12138488,0.12363311,0.12920845,0.13773231,0.1468755,0.15321581,0.15477365,0.15220547,0.14789961,0.14380972,0.14037682,0.1370471,0.13322608,0.12882547,0.12411433,0.1194217,0.11497339,0.110759825,0.10679433,0.1030317,0.099547245,0.096203536,0.092843,0.08927786,0.08561052,0.08215765,0.079394884,0.077642106,0.07690018,0.0767287,0.07654662,0.0759148,0.07478863,0.07333761,0.0717502,0.070103616,0.068477385,0.06704417,0.066014886,0.065319166,0.06444367,0.06255264,0.059136104,0.054425582,0.049394276,0.04508877,0.042026088,0.0399486,0.038162902,0.036001436,0.03324131,0.03004318,0.026849004,0.02398325,0.021698574,0.020922558,0.02441588,0.03742561,0.06415702,0.103623755,0.14635052,0.17982166,0.19531922,0.19399911,0.18422602,0.17669387,0.17813928,0.18885453,0.20244057,0.21035182,0.20702924,0.19432192,0.17982341,0.17330796,0.1800073,0.19830139,0.2190602,0.23218441,0.2316324,0.21953344,0.20356895,0.19304244,0.19423743,0.20699011,0.22481394,0.23753072,0.23862445,0.22823365,0.2139246,0.20462795,0.20696335,0.22064273,0.2395157,0.25364885,0.25659454,0.24837853,0.23690361,0.23145978,0.2390192,0.25808153,0.2808578,0.29528907,0.2946008,0.2800652,0.26269975,0.25662732,0.27413377,0.3189199,0.38374272,0.45249638,0.5087407,0.5437162,0.5591704,0.5627289,0.5615416,0.55674696,0.5439207,0.51747376,0.47852346,0.43472442,0.39804292,0.37726808,0.3812944,0.4136515,0.47154295,0.537319,0.59023625,0.614857,0.61089146,0.5839974,0.5412427,0.488103,0.4343919,0.39354256,0.3800956,0.40048552,0.4478511,0.50016624,0.5320754,0.52983445,0.49963093,0.4597013,0.4249637,0.39932454,0.37924042,0.3628111,0.3537333,0.35655963,0.37056574,0.38583338,0.39048418,0.37687743,0.34850058,0.31754658,0.30329135,0.32313326,0.38184944,0.46344566,0.53772616,0.57873815,0.57672113,0.53794974,0.475431,0.4054356,0.34489977,0.30925322,0.3069379,0.33840904,0.39253685,0.4509311,0.49108782,0.50330764,0.49072132,0.46864894,0.4475931,0.4329134,0.42286232,0.41529658,0.4078711,0.40072575,0.39546216,0.39324534,0.39269635,0.391379,0.38805556,0.38559628,0.39022914,0.41178623,0.45390487,0.5103976,0.5603404,0.5846774,0.572721,0.53072155,0.47081316,0.40850386,0.3564097,0.32514337,0.3202778,0.34332952,0.38767603,0.43987164,0.47878662,0.4910573,0.47513425,0.4449658,0.41308334,0.38566604,0.36027384,0.33574477,0.31603667,0.3095472,0.32203594,0.35009408,0.38021958,0.39641976,0.3898084,0.36545965,0.33958063,0.33460084,0.3656772,0.43375716,0.5176185,0.5877425,0.61841035,0.60512906,0.5597751,0.50232047,0.44712517,0.4014071,0.37063122,0.36404428,0.39104497,0.44913793,0.5170495,0.56349224,0.56746775,0.53221184,0.48142266,0.43964455,0.41720948,0.40732452,0.4001089,0.39358422,0.39590788,0.41322055,0.44135773,0.46715167,0.48049223,0.48107815,0.4785837,0.48430943,0.5062334,0.5419984,0.58121127,0.60953325,0.62100816,0.6187547,0.60995513,0.59433967,0.56573725,0.52037793,0.46790504,0.4280536,0.42026222,0.447348,0.495018,0.53785634,0.5583863,0.5515595,0.52593243,0.49178538,0.45782056,0.42800322,0.40476894,0.39036,0.38666543,0.3924255,0.40054384,0.40125608,0.3888042,0.36577728,0.34258458,0.33253288,0.35028085,0.4015168,0.47816047,0.5509996,0.59092575,0.5814927,0.53476775,0.47217497,0.41598442,0.37557364,0.35694668,0.36222264,0.3940283,0.44608983,0.50518656,0.5501649,0.5684375,0.5575972,0.5296757,0.4958572,0.464839,0.43767473,0.4146905,0.39618918,0.3856108,0.38533247,0.39320585,0.39946523,0.394094,0.37231407,0.34065565,0.31169587,0.30396947,0.3303306,0.39240894,0.46882427,0.5298868,0.5517513,0.53542095,0.49685335,0.45489538,0.41757247,0.38688448,0.3660748,0.36493778,0.39228353,0.44587898,0.5067055,0.54954916,0.55831933,0.53607935,0.4984398,0.4606448,0.42945945,0.40543976,0.3893545,0.38513008,0.39592937,0.41880372,0.4432949,0.45834973,0.45993868,0.45280457,0.44576213,0.44626293,0.4596124,0.48484945,0.51421815,0.53172517,0.52728623,0.50028205,0.46424446,0.43116394,0.4095858,0.3985262,0.39728796,0.4055877,0.42698976,0.45972803,0.49606434,0.5208011,0.52554685,0.5095443,0.48301587,0.45388797,0.4283909,0.40685582,0.3907534,0.38179556,0.38327968,0.39413872,0.40773955,0.41368917,0.4075257,0.3932695,0.3829185,0.3862532,0.41091076,0.45391598,0.506478,0.54781914,0.5631096,0.5452096,0.505727,0.45990744,0.42273596,0.39965585,0.39266303,0.40249243,0.43182707,0.47701845,0.5266468,0.5598106,0.5637837,0.5372207,0.4953382,0.4532391,0.42144153,0.40016642,0.38613477,0.37639856,0.37081757,0.36902526,0.36715284,0.3577713,0.33693922,0.3073156,0.27945074,0.26532173,0.27900824,0.32791793,0.40782037,0.49235997,0.54912525,0.55533236,0.5165756,0.45491222,0.39599088,0.35312113,0.3304973,0.32832047,0.35004923,0.39819893,0.46598196,0.5323307,0.5715749,0.5703998,0.5359494,0.4882877,0.44624448,0.42024687,0.41299304,0.42166135,0.43897256,0.4548638,0.46084464,0.45430803,0.43934903,0.42341694,0.4123894,0.41014454,0.42032972,0.44756976,0.48925152,0.53247046,0.5554941,0.5452848,0.503322,0.44636142,0.3911564,0.3482859,0.31944713,0.30533338,0.3099289,0.34088302,0.39756218,0.46570525,0.51734203,0.53262097,0.5082658,0.4621285,0.4138565,0.3765844,0.35072184,0.33242396,0.31981108,0.3154222,0.32118818,0.33285785,0.34111866,0.3396167,0.3294026,0.31957808,0.32078713,0.34497893,0.3946296,0.4610807,0.51780677,0.5422656,0.5243106,0.47831511,0.4238089,0.37816694,0.3463832,0.33009508,0.3304275,0.35303736,0.3979788,0.45721808,0.5080626,0.5314133,0.5162967,0.47247747,0.4157691,0.36463192,0.32668927,0.30316886,0.29010105,0.28842962,0.29927865,0.32155156,0.3436072,0.35508716,0.35089985,0.33969927,0.333576,0.34745762,0.3874921,0.4493018,0.5101705,0.54426354,0.53493136,0.4900279,0.43149325,0.38434562,0.3615044,0.36468384,0.3873196,0.4235958,0.4684713,0.51572484,0.5531463,0.5676274,0.5534726,0.5169148,0.47160697,0.42885542,0.39417383,0.36831224,0.35247144,0.3484639,0.35501444,0.3640796,0.36340714,0.34618592,0.31691656,0.28918004,0.27739763,0.29231158,0.33916518,0.41185892,0.48955455,0.5407873,0.54538393,0.50517166,0.44427204,0.38601542,0.34350052,0.3156806,0.30157283,0.30450824,0.33277547,0.384925,0.4460577,0.4889809,0.4966356,0.4675336,0.41894433,0.3671894,0.32404625,0.29200768,0.2730129,0.2686542,0.279353,0.29839996,0.31265533,0.3091387,0.28616464,0.25309083,0.22599442,0.21790594,0.2412448,0.29820746,0.37918922,0.45358077,0.49386755,0.4858481,0.44339433,0.38671574,0.33458698,0.29308268,0.26614442,0.2577469,0.27627608,0.3220974,0.38490495,0.43823335,0.4612457,0.4448857,0.40292713,0.3535289,0.31310573,0.2859228,0.27100173,0.2656388,0.27005386,0.28233132,0.2962186,0.30053663,0.2906895,0.27020434,0.25219956,0.24821417,0.27112073,0.32553795,0.40755907,0.49225333,0.5516378,0.56572574,0.54102814,0.49634805,0.45227745,0.41893438,0.40032318,0.39845887,0.41477647,0.44740117,0.48781395,0.5227604,0.5397994,0.534646,0.511455,0.480312,0.4501374,0.42804036,0.41617575,0.41416767,0.41907898,0.42841423,0.4391199,0.44624722,0.44433948,0.43122515,0.41151556,0.3957137,0.39596733,0.42087063,0.4666969,0.5166228,0.5462208,0.542597,0.5102343,0.46832493,0.43210366,0.40801874,0.39323366,0.38702703,0.39120117,0.410419,0.44100532,0.472625,0.48907793,0.4859213,0.46858522,0.4517139,0.441085,0.43611243,0.43091345,0.42560533,0.42407575,0.43122634,0.44535983,0.4582734,0.45943865,0.44500232,0.41887486,0.3918003,0.37516657,0.38328668,0.42172146,0.4834272,0.5393385,0.5630197,0.5411858,0.48756364,0.4216368,0.36265847,0.31907752,0.29697648,0.29889476,0.32883224,0.38311625,0.45016852,0.5047907,0.5285635,0.5161192,0.48375437,0.44833234,0.4200926,0.3973547,0.377985,0.36341676,0.35881165,0.3662193,0.3817329,0.3955095,0.40065315,0.3965889,0.39161506,0.39526173,0.4164537,0.4565479,0.50770146,0.5494575,0.5607725,0.53198475,0.4742281,0.40898195,0.35513374,0.31944647,0.30130807,0.30030188,0.32038155,0.36389652,0.42306027,0.47851434,0.5099593,0.5102667,0.4872009,0.45508257,0.42277,0.39365765,0.36838105,0.34942687,0.3392239,0.3384904,0.34308293,0.345588,0.33826002,0.31948102,0.2936354,0.27230215,0.26973686,0.30044016,0.36659488,0.45295572,0.52928495,0.57014054,0.56706405,0.5311591,0.48005286,0.42949712,0.38865915,0.36395764,0.36028627,0.3818699,0.4253572,0.47983584,0.526226,0.5510487,0.54753226,0.52177846,0.482955,0.443711,0.41186973,0.39204958,0.3838584,0.38701674,0.398733,0.41420534,0.42397788,0.42291987,0.4111769,0.3981682,0.3928522,0.40572563,0.43839753,0.4878769,0.5357886,0.56550914,0.5631298,0.53543437,0.49530804,0.45887193,0.4309832,0.41331208,0.40750226,0.42139354,0.45748833,0.5091681,0.55397946,0.5734207,0.5575993,0.51879346,0.4735441,0.43769073,0.41299412,0.39711508,0.3879831,0.3893006,0.40151152,0.41838536,0.427887,0.4244194,0.41101098,0.39792678,0.39309478,0.40374008,0.4315023,0.47417617,0.5158324,0.53942895,0.5306209,0.49469256,0.4456177,0.402555,0.3751686,0.36634457,0.37349188,0.39523205,0.43114123,0.47720107,0.52292067,0.55207163,0.55384743,0.52679026,0.48319742,0.43796873,0.40410304,0.38399938,0.37531516,0.37416437,0.37937865,0.38812363,0.39410087,0.39065948,0.3764355,0.35704708,0.342144,0.3433555,0.3711823,0.4271319,0.4962361,0.5505684,0.5674052,0.5435354,0.49469092,0.44160184,0.39942357,0.37586582,0.37375867,0.3933592,0.432297,0.48367372,0.5353742,0.57140255,0.5802619,0.5594354,0.5176036,0.46783125,0.42219535,0.38721177,0.36432102,0.35295823,0.35188445,0.35738048,0.36089697,0.35139608,0.32385442,0.283241,0.24593802,0.23112053,0.25706217,0.32602003,0.42326364,0.51344794,0.56669235,0.5673976,0.5271978,0.46586773,0.40591463,0.35975957,0.33530903,0.33438817,0.35914418,0.40541756,0.46429086,0.5161583,0.54527164,0.5420205,0.51311123,0.47085857,0.43000185,0.39742553,0.37407658,0.35800505,0.35063708,0.35382965,0.36477947,0.37319314,0.3697256,0.35205367,0.32809594,0.31111145,0.318776,0.3629923,0.44096097,0.5253787,0.5812915,0.58607,0.54680395,0.4881815,0.4351602,0.39877573,0.37920746,0.37469348,0.38773036,0.4221113,0.4743801,0.5291571,0.56477326,0.56595725,0.53204024,0.4760475,0.4156892,0.36575362,0.3343955,0.32367787,0.33177125,0.35193232,0.37320733,0.38264623,0.37389746,0.35148033,0.32806227,0.31721416,0.3282558,0.3662056,0.42669535,0.4946897,0.5451583,0.55990005,0.5353202,0.48688677,0.4336307,0.39066866,0.3620412,0.34832862,0.35127994,0.3761514,0.4227016,0.47923592,0.5227667,0.5358062,0.5138944,0.47020242,0.4194405,0.37415838,0.33781803,0.31310603,0.3010924,0.30348435,0.316996,0.3338343,0.34344646,0.3397838,0.32259452,0.30005825,0.2854172,0.29857528,0.34950438,0.43111467,0.509331,0.55165094,0.54129475,0.49389565,0.434103,0.38485226,0.352899,0.33844113,0.3392173,0.3588849,0.39885962,0.45406342,0.50387233,0.52716887,0.5104748,0.46181867,0.3988243,0.34144437,0.29978946,0.27657065,0.27036235,0.28000256,0.3016237,0.3263937,0.3410822,0.33901548,0.32264778,0.3048444,0.29791915,0.31441113,0.3582035,0.424014,0.48974,0.53101254,0.5320726,0.49835733,0.44707987,0.39785352,0.36212716,0.3442956,0.34487367,0.36560437,0.4071188,0.46314335,0.51649404,0.5461193,0.540605,0.5046503,0.45463672,0.40579852,0.36603054,0.33589807,0.3152068,0.3068302,0.31383136,0.33230153,0.34787905,0.3446207,0.31773233,0.2784789,0.2474088,0.2436022,0.2782487,0.34827623,0.43470144,0.507273,0.54272884,0.53675354,0.5053549,0.4679685,0.4366946,0.41189957,0.392668,0.38262358,0.39205348,0.42500958,0.47370324,0.5161213,0.53504926,0.5239106,0.49339747,0.45574948,0.42224827,0.39556846,0.37656727,0.3641249,0.3591106,0.35964704,0.36040393,0.35164395,0.3283254,0.29278576,0.25922146,0.24489515,0.26866403,0.3336905,0.42691207,0.51285976,0.5619323,0.5594515,0.5200885,0.46528563,0.41510448,0.37497303,0.34686157,0.33373556,0.34704852,0.39184535,0.4606761,0.5240385,0.5556505,0.54151154,0.4958004,0.43941605,0.39261854,0.36067477,0.3427569,0.33559075,0.33971122,0.3540413,0.37251768,0.38334846,0.37877586,0.36025763,0.33950135,0.32989022,0.34369946,0.3856479,0.45049417,0.51755434,0.56120735,0.56438357,0.5309724,0.48024943,0.43271187,0.39899436,0.3786147,0.36956516,0.37450552,0.40026453,0.44664264,0.5002088,0.53877836,0.5465804,0.52336246,0.48322716,0.4434938,0.41673386,0.40650836,0.41000533,0.42072544,0.4314216,0.43411055,0.4223474,0.39429653,0.35637853,0.31989768,0.2975992,0.2994574,0.33328104,0.39734933,0.4765531,0.54260755,0.57243484,0.5595923,0.5180968,0.46669555,0.4204078,0.38436636,0.361271,0.35322526,0.3661126,0.39980865,0.4473543,0.48989496,0.5142841,0.51397294,0.49760938,0.47258028,0.44690827,0.42070517,0.39571926,0.37383226,0.36200067,0.36410215,0.37721694,0.3894739,0.39080873,0.3797786,0.36629915,0.3629607,0.38130522,0.42235693,0.47756997,0.5250256,0.54634887,0.5316488,0.4900395,0.43636742,0.38704196,0.3494855,0.32477942,0.30837905,0.2956369,0.2838578,0.27306882,0.26389053,0.25631827,0.24908899,0.24133094,0.23307888,0.2255209,0.21940613,0.21478947,0.21113367,0.20829578,0.2064452,0.20565654,0.20583479,0.20659135,0.2078014,0.20930557,0.21164995,0.21585582,0.2230348,0.2332021,0.24466924,0.25480047,0.26116988,0.26266035,0.2599176,0.2548547,0.24993642,0.2462105,0.24283274,0.23720269,0.22703336,0.21179943,0.19354232,0.17647642,0.16528328,0.16332453,0.17061073,0.18366289,0.19603735,0.20101587,0.19498102,0.18036318,0.16552584,0.15963024,0.1670549,0.18385254,0.20141812,0.2114429,0.21101558,0.20286067,0.19436131,0.1932754,0.20394415,0.22364868,0.2450325,0.26019052,0.26588574,0.26259002,0.25262728,0.23664762,0.21567559,0.19256584,0.17447518,0.16818596,0.17621946,0.19316174,0.21010005,0.2196425,0.22023247,0.21502036,0.20851485,0.20299183,0.19726203,0.18886675,0.17795213,0.169062,0.16809177,0.17734297,0.19304426,0.20903231,0.22118539,0.23073691,0.241167,0.25533968,0.27167547,0.28602403,0.2935536,0.2927128,0.28494486,0.27334008,0.25979355,0.24479371,0.22898518,0.21460705,0.2050698,0.20226651,0.20493032,0.20871286,0.20974146,0.20729975,0.20461796,0.20484908,0.20780033,0.20931464,0.20535946,0.19529384,0.18206532,0.16905822,0.15744384,0.14593574,0.13274927,0.11766223,0.10257349,0.090297304,0.08260727,0.07917609,0.0778195,0.07590533,0.071445085,0.0638667,0.054846775,0.04900366,0.053880736,0.07537407,0.113253795,0.15776163,0.1958145,0.21748173,0.2218746,0.21364875,0.19918789,0.18258844,0.16629322,0.15166363,0.13971122,0.13020988,0.121219106,0.110288166,0.09724332,0.08635417,0.08335934,0.09088533,0.104736984,0.11799532,0.12586148,0.12939884,0.13211878,0.13652225,0.14167054,0.14483629,0.14305592,0.13433434,0.11805297,0.0959337,0.07270316,0.054987554,0.048767406,0.056054115,0.07402024,0.09570547,0.11388264,0.123922475,0.12577765,0.12196419,0.115053825,0.10562266,0.09314525,0.077673145,0.06120735,0.047504097,0.041212384,0.04631929,0.06370175,0.089314766,0.11486527,0.1326506,0.1398338,0.13936849,0.13620472,0.13388418,0.13347524,0.13458334,0.13615465,0.13663374,0.13444221,0.12897445,0.1217185,0.116207995,0.11637332,0.12371076,0.13595788,0.14829454,0.1567155,0.15989977,0.15894888,0.15549213,0.15072109,0.14525779,0.1394975,0.1337483,0.12835614,0.12364101,0.11967033,0.11608129,0.11238924,0.10841516,0.10445786,0.10102549,0.09853206,0.09712482,0.09659178,0.09643766,0.09611533,0.0954301,0.09458665,0.09396768,0.09367605,0.093396425,0.092511125,0.09047141,0.08717672,0.08305425,0.07876638,0.07462796,0.0704511,0.06626755,0.063810505,0.067429475,0.08286067,0.1129269,0.15389419,0.19515915,0.22579466,0.24033551,0.24177003,0.23662345,0.23080999,0.22659434,0.22407252,0.222403,0.22066408,0.2190878,0.22154862,0.2384551,0.2836388,0.36231837,0.4589624,0.5378911,0.5649547,0.5305546,0.4567829,0.37892368,0.3225031,0.29273403,0.2843371,0.29435351,0.32801163,0.38561192,0.45571062,0.5106774,0.5292113,0.5042911,0.45346102,0.3977801,0.35438946,0.3247645,0.30680656,0.29810554,0.30044785,0.3104105,0.3188647,0.31353775,0.29148546,0.25934076,0.23204039,0.22199617,0.24069016,0.2886484,0.35741225,0.42136273,0.45882878,0.45727408,0.4273031,0.38433,0.34459856,0.31448364,0.29905176,0.30192742,0.32832995,0.3753924,0.43140015,0.4738618,0.48761162,0.46921197,0.43195835,0.3893533,0.3512511,0.32016566,0.29826,0.28763607,0.29005778,0.3021082,0.31570867,0.31952545,0.308668,0.2855445,0.2609838,0.24599563,0.25303707,0.28840935,0.34896016,0.41374406,0.4571048,0.46265662,0.43595698,0.39495155,0.35650775,0.32844707,0.31235048,0.31023368,0.32562256,0.35996875,0.40645242,0.44972435,0.4726448,0.46780613,0.43914202,0.3989298,0.3569297,0.32111588,0.29571256,0.2850884,0.28996912,0.30638433,0.32406974,0.33010173,0.31678674,0.28688267,0.25229108,0.22745909,0.22505228,0.25542793,0.32063845,0.40848532,0.48935103,0.5328954,0.523773,0.47376636,0.4080515,0.35065117,0.31029183,0.2882876,0.28633273,0.31293568,0.36898944,0.442113,0.50218076,0.5258681,0.50355035,0.45110357,0.38917828,0.3372648,0.30092588,0.280099,0.27287373,0.27915314,0.2962524,0.31560493,0.32591197,0.32170954,0.3063883,0.29199994,0.29073182,0.31537524,0.36662626,0.43498316,0.4923121,0.51744825,0.49967062,0.453931,0.39795506,0.3491794,0.31185552,0.2885311,0.28139034,0.29917118,0.34456205,0.41075873,0.47173658,0.5040987,0.4936659,0.45218047,0.39792404,0.35011816,0.31468853,0.29286647,0.28347063,0.28790975,0.3036085,0.3218338,0.32760623,0.31190982,0.27665332,0.23703247,0.21116167,0.21677686,0.26121247,0.3379155,0.41985556,0.47524384,0.48356816,0.4510564,0.399246,0.35028502,0.31371954,0.29089835,0.28153166,0.29014352,0.3209578,0.37151763,0.42585084,0.4621443,0.46490312,0.4356505,0.38893127,0.341135,0.30220267,0.2757233,0.2634004,0.26701,0.2849724,0.3088551,0.32384798,0.31798387,0.29031584,0.25263193,0.22315456,0.21864104,0.2503526,0.314719,0.39363718,0.4552095,0.47818163,0.45766783,0.41240564,0.36204347,0.32228932,0.29543972,0.2829876,0.28730956,0.31579915,0.367177,0.42989182,0.47915015,0.497599,0.4784061,0.4342089,0.38088498,0.3353336,0.30395266,0.2882483,0.28543726,0.2946682,0.31197727,0.32843956,0.32998565,0.3093662,0.27028313,0.22971839,0.20651388,0.22032066,0.27580702,0.36335382,0.4485829,0.50086284,0.500894,0.46154976,0.40333435,0.34824073,0.30150875,0.26488027,0.24003528,0.23873578,0.2695112,0.33062634,0.39944586,0.44898582,0.45923612,0.43226472,0.38412496,0.33513597,0.29759514,0.27420947,0.2637117,0.2656552,0.2783953,0.29415444,0.298576,0.28179175,0.24541138,0.20469154,0.17923073,0.18775542,0.23754984,0.3187725,0.4012543,0.45223865,0.45561254,0.42215288,0.37692437,0.3408742,0.32188177,0.31597662,0.3161225,0.31610188,0.31376648,0.30864295,0.3010098,0.29070905,0.27836427,0.26573232,0.25485674,0.24702263,0.24190654,0.23848544,0.23490594,0.22983842,0.22287671,0.21629138,0.21307409,0.21470189,0.21821053,0.21949936,0.216555,0.21225928,0.20961916,0.2089686,0.20645659,0.19953267,0.18905093,0.17978847,0.17538472,0.17658328,0.18088216,0.18582533,0.19019794,0.19415517,0.19791748,0.20110188,0.20286383,0.20233846,0.19935648,0.19451778,0.18895902,0.1835555,0.178663,0.17381209,0.16812462,0.16039723,0.15084936,0.14178751,0.1376037,0.1412303,0.1518795,0.16452484,0.17299825,0.17249195,0.16180982,0.14400296,0.12600511,0.115002304,0.11435818,0.12192195,0.13286567,0.1436128,0.15340044,0.16302307,0.17272991,0.1813469,0.18678224,0.18739939,0.1832516,0.17581917,0.16679297,0.15675376,0.14595039,0.13511793,0.12592079,0.11922061,0.11480489,0.11135668,0.10789034,0.10350115,0.09831377,0.09381182,0.09308509,0.0985489,0.10979134,0.123198844,0.13373674,0.13715401,0.13141514,0.11802647,0.10183215,0.08887858,0.08242109,0.081460804,0.082059674,0.08064765,0.07547659,0.06702488,0.05750416,0.04998037,0.046684455,0.04752453,0.05043952,0.05291365,0.053417146,0.051649917,0.0483565,0.045013368,0.043170992,0.043518573,0.04538772,0.047389433,0.04847007,0.048525203,0.048094243,0.047718972,0.04738733,0.04642494,0.043970834,0.03974325,0.034517974,0.029622873,0.025986455,0.023601623,0.021886429,0.020375965,0.018951653,0.017681962,0.016549092,0.015470573,0.014355518,0.013191995,0.012004177,0.010844286,0.009726101,0.0086327465,0.007511878,0.0063466746,0.005178888,0.004110358,0.0032332381,0.0025788231,0.0021096615,0.0017603575,0.0014755056,0.0012176828,0.00096889865,0.00073164096,0.0005324333,0.0003968194,0.00032930428,0.00030866312]