[0.27640042,0.26868418,0.25204003,0.23155205,0.21279587,0.19977783,0.19397272,0.19318265,0.19343005,0.19141537,0.18698786,0.18216272,0.17924231,0.17927396,0.18182158,0.18531686,0.1876716,0.18751456,0.1851057,0.18214148,0.18019025,0.17934628,0.17824636,0.17531718,0.17008178,0.16342932,0.15735982,0.15395896,0.15462585,0.15896784,0.16503471,0.17019534,0.17278875,0.17281576,0.1717546,0.17158617,0.173694,0.1780334,0.18324737,0.18760419,0.19030577,0.19171493,0.19295262,0.195064,0.1985661,0.20314021,0.20756043,0.2110639,0.21419883,0.2192771,0.22677267,0.23461358,0.23794638,0.23502366,0.22740914,0.22045718,0.21763553,0.21967083,0.22348388,0.22610264,0.22730869,0.22992285,0.23597693,0.24320789,0.2466814,0.24363084,0.23655193,0.23104788,0.23162955,0.2390454,0.25069246,0.2623575,0.26998866,0.27105904,0.26471373,0.2522349,0.23610575,0.22080605,0.21002646,0.20589346,0.2057441,0.2054687,0.20121491,0.19301279,0.18289395,0.1736191,0.16698353,0.16376072,0.16379772,0.1658992,0.1684769,0.17012005,0.17019737,0.16877353,0.16636051,0.16367047,0.16148077,0.16052738,0.16127919,0.16362156,0.16679542,0.1698724,0.17247634,0.17492265,0.17744397,0.17941551,0.17967059,0.1780114,0.17568421,0.17447545,0.17448217,0.17427194,0.17190795,0.16710393,0.16070001,0.15415514,0.148197,0.14297925,0.13803054,0.13312078,0.12908404,0.12819934,0.13316329,0.14493698,0.16183911,0.18008555,0.19634394,0.20847766,0.21594407,0.2184449,0.21666849,0.21218134,0.20745265,0.20424199,0.20298332,0.20341337,0.20502923,0.20708923,0.2074099,0.20363545,0.19460951,0.18208902,0.16938877,0.15958816,0.15395725,0.15195118,0.15231688,0.15386552,0.15616296,0.15892325,0.16184045,0.164286,0.16593301,0.16686058,0.16750343,0.16814731,0.16887076,0.16966623,0.17062955,0.17173916,0.17266649,0.17272557,0.17152111,0.16949229,0.16838378,0.17006391,0.17508453,0.18138593,0.18594778,0.18705302,0.18558235,0.18335567,0.18116976,0.17869121,0.17551361,0.17207114,0.16915,0.16775076,0.16863774,0.17179374,0.17568715,0.17790389,0.17698295,0.1736636,0.1704319,0.1696552,0.17205085,0.17650694,0.18078059,0.18348211,0.18441223,0.1851104,0.1866991,0.19017069,0.19516973,0.2010542,0.20583837,0.207569,0.20517085,0.19968463,0.19325429,0.18733478,0.18215251,0.17718917,0.1726077,0.16898434,0.16708581,0.16697718,0.1683533,0.17057897,0.17324106,0.17594393,0.1782571,0.17951022,0.17911321,0.17695276,0.17338055,0.16923517,0.16536753,0.16249432,0.160405,0.158123,0.15487786,0.1511931,0.14881836,0.14867042,0.15002435,0.15068541,0.14943773,0.14645125,0.14346653,0.14153947,0.14127974,0.14201626,0.14393981,0.14707196,0.15217511,0.15878084,0.16596319,0.17175835,0.17445183,0.17340513,0.16958244,0.16528983,0.16201617,0.15984409,0.15754437,0.15551245,0.1568417,0.16578425,0.18320453,0.20385122,0.21918811,0.22353375,0.21831979,0.2100572,0.20469296,0.2040507,0.20614678,0.20869268,0.21030514,0.21100502,0.2106172,0.20923167,0.20640337,0.20211083,0.19619453,0.18969937,0.183854,0.17999257,0.17803816,0.1772501,0.17688276,0.17705786,0.1781822,0.18019278,0.18228783,0.18387376,0.18463407,0.18514116,0.18600577,0.1885178,0.19321524,0.19991316,0.20707978,0.21295898,0.21574585,0.21404023,0.20732391,0.19710235,0.18669297,0.1801231,0.17953195,0.1847468,0.19299848,0.20103472,0.20585744,0.20637238,0.20352991,0.19967099,0.19720054,0.19643849,0.19666134,0.19634598,0.19555421,0.19414236,0.19224286,0.18933453,0.18673094,0.18635087,0.18976833,0.19516139,0.19922324,0.1992184,0.1957011,0.19091599,0.18687248,0.18401913,0.18192899,0.18015254,0.17831422,0.17583491,0.17215838,0.1671728,0.16167466,0.15682785,0.15356736,0.1518091,0.15081085,0.14977367,0.14880146,0.14851114,0.14945918,0.15122706,0.1529965,0.15410346,0.15490876,0.15651415,0.16025352,0.1666096,0.17456043,0.18184628,0.18611197,0.18607219,0.18184167,0.17445578,0.16560209,0.15702868,0.15068763,0.14821345,0.15149754,0.1613338,0.17693074,0.19422443,0.20842028,0.21542054,0.2150734,0.20970213,0.20375548,0.20060718,0.20156454,0.20481588,0.20737298,0.20745264,0.20577057,0.2048064,0.20662232,0.21139479,0.21688938,0.21978264,0.21763033,0.2104671,0.20056565,0.19069159,0.18253286,0.17622317,0.17138386,0.16787533,0.1661132,0.16623259,0.1677996,0.1698118,0.17146216,0.17266858,0.17407702,0.17649299,0.17949511,0.18158317,0.18081777,0.17700118,0.17120214,0.16501145,0.15892248,0.15322445,0.14895119,0.14815801,0.15223409,0.16053137,0.17038365,0.17913817,0.18538381,0.18923528,0.19133155,0.19187559,0.19073169,0.18774486,0.18461512,0.18472284,0.19115697,0.20346384,0.21664828,0.2252845,0.22685313,0.22353621,0.2184786,0.21413805,0.211486,0.21136719,0.21419384,0.21902044,0.22414047,0.22748046,0.22869922,0.22835279,0.22881307,0.23150195,0.23644091,0.24076761,0.2415993,0.23777556,0.23110086,0.22441573,0.21993409,0.21825375,0.21900326,0.22149807,0.22518899,0.22972171,0.23498394,0.24102567,0.24716564,0.25158915,0.25175056,0.24643697,0.23677106,0.2259985,0.21730308,0.21219689,0.2095127,0.20665313,0.20374827,0.2060123,0.22491173,0.26557186,0.32308677,0.37460342,0.4003822,0.3911591,0.36566603,0.35378802,0.37918326,0.4344665,0.48387107,0.49154994,0.45054272,0.39024103,0.35043943,0.35168087,0.385358,0.42483333,0.44820142,0.4482583,0.43500456,0.42723966,0.43908858,0.4674764,0.48694322,0.47029305,0.41109636,0.3364726,0.28577828,0.28378293,0.32402173,0.37928727,0.4207768,0.4348621,0.4259577,0.412645,0.41539606,0.44221938,0.47944054,0.49912155,0.48249844,0.43468618,0.3799847,0.3395536,0.31895915,0.3106713,0.3056624,0.2998084,0.2936747,0.28974155,0.29041097,0.2961242,0.30490792,0.31299555,0.31796315,0.32153285,0.33045194,0.35401416,0.3951318,0.44427407,0.48033893,0.48700047,0.4652299,0.4330729,0.40947637,0.40115762,0.40267482,0.40522122,0.40459195,0.40212283,0.4031472,0.41416264,0.43981698,0.47592232,0.50793964,0.5164862,0.49465823,0.45354244,0.41618872,0.39757267,0.39850965,0.40894315,0.4202293,0.4282111,0.4335285,0.43825445,0.4453443,0.45461562,0.46171978,0.4586189,0.44185627,0.41542664,0.38977727,0.37256286,0.36524704,0.36384967,0.3643196,0.36510321,0.36652985,0.369495,0.37373176,0.3784041,0.38187662,0.38312396,0.3820804,0.38087097,0.3841013,0.39807895,0.42650008,0.4644458,0.4964806,0.50521153,0.48442575,0.44523224,0.4067963,0.3827972,0.37396553,0.37397173,0.37579978,0.37749314,0.3791008,0.3828192,0.38859197,0.3961511,0.40271994,0.40677926,0.40678534,0.4050099,0.4064236,0.41993597,0.4495014,0.4886893,0.51803094,0.5199963,0.49120724,0.4466549,0.40555242,0.37957156,0.3691114,0.36938986,0.37533104,0.38285533,0.39044306,0.39892122,0.41145095,0.42644215,0.43742394,0.43464458,0.41702893,0.3924069,0.37378708,0.36666933,0.36811674,0.37055945,0.3699338,0.3666583,0.36335394,0.36164808,0.36123285,0.36061874,0.35836276,0.35454035,0.35093036,0.34962514,0.35116288,0.3538979,0.35578993,0.35613212,0.35652313,0.3593326,0.3670726,0.38242516,0.40879834,0.4467046,0.48766956,0.5150447,0.5140683,0.48680088,0.45010665,0.42333493,0.41189072,0.40979338,0.40852344,0.40569377,0.4032624,0.40409252,0.41162893,0.43037304,0.4606583,0.49381074,0.5113432,0.50101507,0.46498242,0.42231628,0.3904719,0.37712875,0.3769584,0.38176742,0.38558498,0.3876613,0.3913281,0.40070975,0.41613707,0.43054375,0.4333191,0.4185213,0.39140904,0.36479118,0.3492842,0.3458314,0.34783718,0.34832594,0.34565103,0.3422003,0.34134904,0.3445535,0.35241178,0.36438835,0.37884238,0.39243412,0.402033,0.40903553,0.41979873,0.4437615,0.4804953,0.5180683,0.53426665,0.51836,0.4756482,0.4276477,0.3927097,0.37899756,0.3821936,0.3926339,0.40187195,0.40657392,0.41029525,0.4194735,0.43726394,0.45885658,0.47296906,0.47097835,0.45431092,0.435143,0.42764792,0.43596673,0.4508146,0.4552156,0.440699,0.4132103,0.38833985,0.37680748,0.37829208,0.38627896,0.39437282,0.40037966,0.4029356,0.40370342,0.4057335,0.41513303,0.43256986,0.45293725,0.4644417,0.46143612,0.44617224,0.42927244,0.41775322,0.41312337,0.41143236,0.4098449,0.40757498,0.40574798,0.4050205,0.40573594,0.4073074,0.40905574,0.40951133,0.4081105,0.40546134,0.40365207,0.40408838,0.4063579,0.40907606,0.4112617,0.4136437,0.4173142,0.42479357,0.43857804,0.46017942,0.4843571,0.50028735,0.49699295,0.47380784,0.44106233,0.41267708,0.39637947,0.39119074,0.39223507,0.3950654,0.3975006,0.40033177,0.4077929,0.42770267,0.46184683,0.50098175,0.52419883,0.5172316,0.48235723,0.43834195,0.4033631,0.38522002,0.38133278,0.38588643,0.39381418,0.4019297,0.40949818,0.41893503,0.4320332,0.44570807,0.45089638,0.44014454,0.41521004,0.38731304,0.36844036,0.36256054,0.36520013,0.36894026,0.3699417,0.36876544,0.3685672,0.37118983,0.37625572,0.38127962,0.38415644,0.3842775,0.3829062,0.3828335,0.3885673,0.40590414,0.43648112,0.4718287,0.4938116,0.48767197,0.45515144,0.4140177,0.3836228,0.37125883,0.37191328,0.37604105,0.37720558,0.37418494,0.36991706,0.36855364,0.37140468,0.3762734,0.3794241,0.3800826,0.38113296,0.38849977,0.408191,0.44146642,0.47956908,0.5044336,0.5008469,0.46948802,0.42745075,0.39429557,0.37830982,0.37612262,0.38040724,0.38647676,0.39177263,0.39609,0.40138277,0.41305196,0.43195567,0.45165613,0.4575585,0.44208205,0.4098864,0.37745968,0.35743377,0.351719,0.35266924,0.3522034,0.34818172,0.3432717,0.3419595,0.34546474,0.3521247,0.35800958,0.3610519,0.361773,0.36395082,0.37239027,0.39266083,0.42641914,0.46811846,0.5011115,0.5082405,0.48230803,0.43684617,0.39482117,0.37774387,0.38957492,0.4215707,0.45421246,0.47344327,0.4717876,0.45528772,0.43210968,0.41108295,0.3943185,0.38240263,0.3724536,0.36079457,0.3423222,0.3163249,0.2870315,0.2623264,0.24698542,0.24155559,0.24303676,0.24869998,0.25648406,0.26492357,0.27212834,0.27609962,0.27574947,0.27166653,0.2661707,0.26169106,0.2597748,0.26015794,0.2616714,0.26276818,0.26268455,0.2614057,0.2597213,0.2586299,0.25887468,0.26040116,0.2621527,0.26286864,0.2617136,0.2590131,0.25543514,0.25202334,0.24938662,0.2480617,0.24767548,0.24746262,0.2468452,0.24661969,0.24856699,0.25360107,0.26017848,0.26482883,0.26481614,0.26045504,0.25486168,0.25175056,0.25272146,0.2569386,0.26195002,0.2658968,0.26774076,0.26748696,0.26539585,0.26236835,0.2596217,0.2579353,0.257207,0.25675228,0.2567377,0.25789264,0.26068136,0.2638903,0.26553163,0.2643896,0.26202133,0.26297018,0.273001,0.29501918,0.32519445,0.35357633,0.36992928,0.37067768,0.36032936,0.34695697,0.33687398,0.33245885,0.33323833,0.33606064,0.33619633,0.32883915,0.31387833,0.2964734,0.28461695,0.28207615,0.28671834,0.2930113,0.29764828,0.30112678,0.30524972,0.31058457,0.31515625,0.3168297,0.3137568,0.30611885,0.29544953,0.2861464,0.28379208,0.29228318,0.3092006,0.32594287,0.33566478,0.34158674,0.359288,0.39935562,0.45506343,0.49807703,0.50671756,0.48101792,0.4465746,0.42551616,0.4230598,0.42639312,0.42215356,0.40490666,0.37702632,0.344525,0.31362626,0.29042217,0.27844468,0.27878287,0.2889293,0.3039302,0.31649986,0.3206015,0.31498036,0.30475008,0.29756907,0.29701492,0.30001304,0.30123365,0.30133292,0.3100331,0.33602038,0.37596676,0.41014373,0.41969597,0.39941633,0.36301517,0.3274435,0.30422053,0.2944359,0.29379538,0.2927917,0.2822131,0.2583826,0.22986446,0.21125747,0.21279292,0.23094116,0.25302187,0.26702294,0.2687249,0.25865385,0.23891567,0.21390069,0.19559093,0.19809876,0.22836328,0.2786154,0.3370278,0.39728317,0.45908996,0.5145657,0.54639375,0.5405711,0.5022401,0.45302632,0.4145989,0.39543673,0.39029887,0.38766524,0.37583578,0.34842744,0.30695567,0.26107457,0.22258657,0.19933851,0.19242926,0.19680858,0.20427455,0.20431797,0.19063711,0.16484976,0.14108834,0.13599771,0.15835415,0.19967504,0.24349487,0.27969632,0.31067607,0.34240663,0.36967865,0.38088748,0.36857212,0.34129032,0.31254303,0.29147935,0.27697513,0.26581678,0.25743857,0.2545161,0.25900018,0.2703228,0.28542802,0.30058405,0.31216803,0.3177806,0.31589255,0.30697885,0.294318,0.28402427,0.2812029,0.2850035,0.2875136,0.27975163,0.2626747,0.25223944,0.27293238,0.33565655,0.42398342,0.49788585,0.52578783,0.505267,0.46373212,0.4297847,0.41576946,0.41462746,0.4140981,0.40481988,0.38360664,0.35237607,0.31745958,0.28879228,0.27520677,0.2803254,0.29686537,0.30917466,0.29976675,0.26280016,0.20965211,0.16431533,0.14767085,0.16526814,0.20672901,0.25665447,0.3050071,0.3501965,0.39038423,0.41858247,0.4216831,0.39391246,0.34139815,0.2830709,0.23741156,0.21698008,0.22371052,0.25216824,0.2901102,0.32410225,0.3439939,0.34810004,0.34084663,0.32865557,0.31433317,0.2971324,0.27546796,0.2512137,0.23069823,0.22049755,0.22287087,0.2323802,0.24117397,0.2447726,0.24953763,0.26957127,0.31698695,0.38701487,0.45598856,0.4950321,0.49204847,0.46012267,0.42787817,0.41995326,0.44071403,0.47388434,0.49245998,0.48183477,0.44590208,0.40413162,0.3707744,0.34981057,0.33405268,0.31592187,0.29009524,0.26098898,0.24094868,0.25015938,0.29662964,0.36976066,0.43577638,0.4685376,0.46267846,0.44117275,0.42791256,0.43487826,0.4546099,0.47327253,0.4781283,0.46652701,0.44531894,0.43032432,0.43531474,0.4634696,0.5003467,0.5235936,0.5187992,0.49028465,0.45545706,0.42958856,0.41778755,0.4169112,0.42284462,0.43312773,0.44609925,0.4584789,0.4657593,0.46332416,0.45044443,0.42991212,0.40834868,0.3921733,0.38913202,0.40585098,0.44313928,0.4892024,0.5217171,0.5237166,0.4952844,0.45345783,0.41623628,0.39215508,0.38073695,0.37791178,0.38051793,0.38315415,0.38169464,0.3736178,0.3623542,0.3514966,0.34309056,0.3350996,0.326364,0.31793666,0.31304052,0.31304786,0.31613293,0.31824538,0.3158045,0.3074918,0.29540834,0.2855052,0.28750238,0.30701777,0.34045303,0.3702489,0.38098767,0.36807716,0.34604248,0.33069846,0.33142546,0.34395453,0.3619677,0.37884662,0.3921288,0.39891493,0.3997576,0.3946291,0.3845301,0.36814484,0.34693396,0.3243424,0.3053719,0.29372147,0.2916858,0.30114874,0.3202627,0.343187,0.36103454,0.37150738,0.3818495,0.4065834,0.45064196,0.502691,0.53752136,0.5396631,0.5118279,0.47410002,0.44332942,0.427452,0.42403683,0.42868188,0.4355831,0.43948784,0.43608427,0.42395186,0.4035542,0.37643242,0.34489623,0.3126552,0.28332222,0.25918713,0.24190886,0.2355934,0.24530739,0.27249655,0.3095417,0.34429097,0.3673384,0.37965474,0.3892678,0.40272245,0.4177613,0.42396975,0.41460052,0.39184806,0.36743736,0.34974578,0.34151578,0.3388978,0.33966318,0.34224796,0.34671307,0.35165367,0.35681298,0.3619324,0.36709145,0.3696768,0.36574587,0.35107502,0.3255154,0.2928499,0.26257995,0.24491732,0.2493077,0.27518693,0.31538162,0.35894206,0.4052519,0.45825458,0.5177443,0.5666084,0.5839846,0.5629564,0.5191297,0.47604418,0.44653928,0.42878702,0.41471854,0.40022895,0.38553795,0.37137556,0.35693267,0.3413302,0.32689485,0.31824017,0.31946048,0.3299947,0.34445155,0.35585225,0.35973707,0.35561505,0.34429446,0.324762,0.29426804,0.25505087,0.21998273,0.21170926,0.24382114,0.30805483,0.3712736,0.40373114,0.39527485,0.36253795,0.3264074,0.302655,0.2948409,0.30202332,0.31725657,0.33267912,0.3414379,0.34359744,0.34241223,0.34049138,0.33667305,0.32892358,0.31702235,0.30196503,0.28345132,0.26051673,0.23610587,0.22019361,0.22469209,0.25349653,0.3000908,0.35392213,0.41174725,0.47106656,0.5248416,0.5543392,0.5483935,0.5113751,0.46765056,0.44354928,0.45151505,0.4832816,0.5134421,0.5220427,0.50486416,0.4786942,0.4602429,0.45574865,0.4566996,0.45266423,0.43847588,0.41746452,0.39794388,0.3907716,0.40369043,0.4347742,0.46973753,0.48900032,0.48295936,0.45839325,0.43442786,0.42563686,0.43271708,0.44151685,0.43562534,0.4086384,0.37017062,0.34069574,0.3407615,0.37678817,0.43508878,0.48517033,0.5018764,0.47987387,0.43781576,0.3988224,0.37783048,0.3743886,0.3812629,0.389653,0.39556983,0.39816,0.3990774,0.3989912,0.39835086,0.39689407,0.39379504,0.38835979,0.38220033,0.38279375,0.39909983,0.43422392,0.47786856,0.5119925,0.5228304,0.509801,0.48347774,0.45650387,0.43715975,0.42661774,0.42056477,0.4129649,0.40109888,0.38742304,0.37701258,0.3728839,0.37547037,0.38379395,0.39782426,0.41777277,0.44367102,0.4745616,0.5046418,0.5236671,0.5190867,0.4883704,0.4408011,0.39500892,0.36586478,0.3591651,0.37004519,0.38775298,0.4020268,0.4091412,0.4126308,0.4183688,0.42758253,0.43650818,0.43982902,0.43656662,0.43081176,0.43035033,0.44235095,0.46922532,0.50310445,0.52778596,0.52650374,0.4975736,0.45471227,0.41918993,0.40143552,0.4003395,0.40684283,0.41476712,0.42004612,0.42334792,0.42780426,0.44083798,0.4635104,0.4879875,0.49683908,0.4812241,0.44617245,0.40895176,0.3817344,0.36699507,0.36057028,0.36014524,0.36554477,0.37544295,0.3856758,0.39283156,0.397064,0.4021848,0.40998444,0.41813114,0.4211054,0.4187554,0.41912627,0.4341922,0.46528408,0.4980123,0.5101036,0.49188069,0.45344207,0.4180092,0.4038638,0.41425717,0.4380385,0.45725486,0.46044132,0.44652152,0.4255918,0.40732336,0.39752236,0.3960009,0.40116844,0.41038844,0.4208716,0.43180895,0.44657513,0.46872458,0.4948902,0.5114493,0.5049827,0.47278807,0.42688146,0.3835124,0.35504755,0.34537292,0.3528055,0.3704926,0.3910257,0.40981212,0.42927995,0.45343575,0.48005953,0.4979353,0.49422953,0.4672849,0.42719617,0.3892906,0.36236724,0.3486148,0.3451775,0.34770024,0.3493912,0.34468022,0.33251646,0.3195126,0.3142663,0.3217211,0.33875272,0.3579521,0.3746442,0.39016032,0.41106007,0.43806615,0.46440372,0.4761549,0.4684094,0.4479021,0.43136796,0.429988,0.44380417,0.46233448,0.47368407,0.47153524,0.45769367,0.43902275,0.42207336,0.4102043,0.40352878,0.40163246,0.40321383,0.40659544,0.41084978,0.4188571,0.43842435,0.4718257,0.51136684,0.53566,0.5315087,0.498813,0.45657566,0.41972753,0.39679733,0.3844485,0.38076785,0.38343242,0.3924955,0.40712485,0.42858776,0.4555305,0.48163632,0.4948574,0.48973694,0.4736557,0.46544048,0.4791287,0.51347286,0.55210453,0.57530826,0.5733362,0.54957634,0.51486975,0.47715673,0.43891677,0.40236843,0.3731893,0.35880268,0.36058095,0.37485942,0.39594737,0.42228177,0.45063785,0.47483066,0.48401293,0.47371113,0.44796836,0.4211949,0.40798438,0.41602683,0.44005224,0.46578738,0.4804498,0.4813975,0.47625887,0.47647217,0.48685536,0.5037024,0.5135054,0.5055348,0.4767113,0.43694425,0.40031183,0.37879112,0.37737596,0.39262018,0.41586354,0.43596438,0.44880167,0.45796308,0.4726502,0.49423718,0.5139,0.51626277,0.49665987,0.4641902,0.43872595,0.43214062,0.4441745,0.46077296,0.468901,0.46182552,0.44531646,0.42969862,0.4249365,0.43180564,0.44349352,0.4484717,0.44096336,0.4231517,0.4037652,0.38870654,0.3788699,0.37105742,0.36228013,0.34968624,0.3304598,0.30359197,0.27173063,0.24211828,0.22307299,0.22215442,0.24157679,0.27762428,0.32009578,0.35819638,0.3844616,0.39742315,0.399156,0.39266172,0.37924922,0.3574551,0.32543746,0.28619546,0.251403,0.23629163,0.24861442,0.28114012,0.31723094,0.3426803,0.35388374,0.35407022,0.34663042,0.33060274,0.30340943,0.26448983,0.21918778,0.18016814,0.16422182,0.18332098,0.23382425,0.29616892,0.34695634,0.3759637,0.39068702,0.4057887,0.4272077,0.44755122,0.45462206,0.44434097,0.42457834,0.40945956,0.40924048,0.4230552,0.43940565,0.4430362,0.4280592,0.40266418,0.38397822,0.3820685,0.39271557,0.4019588,0.39979193,0.38648787,0.36989406,0.3570807,0.35078934,0.34944728,0.35033402,0.35026467,0.3465185,0.3361328,0.3174307,0.29040313,0.25794622,0.22540925,0.20027067,0.19012427,0.19833,0.22109027,0.24852388,0.2711653,0.28481182,0.289803,0.2866801,0.2729263,0.2476231,0.21751988,0.20034401,0.21373902,0.2623247,0.33075327,0.39424965,0.43334028,0.44155785,0.42629024,0.39989638,0.37681356,0.3617601,0.35360432,0.3466001,0.3438362,0.3554015,0.3895208,0.44110608,0.49000946,0.517319,0.51492435,0.4916329,0.46070743,0.43550587,0.42244497,0.42361215,0.43335113,0.4421505,0.4389174,0.42092463,0.39445636,0.37309846,0.3639412,0.36328384,0.35716775,0.33639368,0.30382153,0.2750162,0.2640665,0.2739105,0.29319632,0.30745327,0.30855718,0.300164,0.29161176,0.2908529,0.29839966,0.30837676,0.3128982,0.30763242,0.29408935,0.27876553,0.26963195,0.27134034,0.28192678,0.29240048,0.29390728,0.28408694,0.27185276,0.27019137,0.2880056,0.32143286,0.3569244,0.3791084,0.38125205,0.36827996,0.35286784,0.34743991,0.35639676,0.37354442,0.38560545,0.38351694,0.371676,0.3673625,0.3846631,0.42157242,0.4573933,0.47295058,0.4626329,0.44286907,0.433589,0.44536972,0.46689782,0.4776757,0.46608242,0.44038597,0.4203078,0.41903535,0.4345298,0.45577624,0.47075796,0.47448257,0.4663768,0.45412374,0.44900373,0.45922408,0.47804502,0.4826983,0.45329753,0.39083672,0.32351616,0.28517458,0.2939925,0.34146056,0.40269566,0.45315644,0.48041674,0.48757744,0.48731163,0.49285197,0.50594586,0.5143872,0.5016989,0.46291247,0.40990105,0.35997078,0.3246288,0.3043405,0.29664743,0.2968011,0.30163944,0.3064952,0.31018946,0.31272936,0.31524366,0.31595084,0.31195295,0.30195987,0.29211345,0.29470253,0.3241539,0.3815783,0.452706,0.5088367,0.5313378,0.5181033,0.4872733,0.45619142,0.43491125,0.42177308,0.4130479,0.4055867,0.39863276,0.39127716,0.38375965,0.37849393,0.38027778,0.39122236,0.40707687,0.41864905,0.41968644,0.41208208,0.4036093,0.40059188,0.40312123,0.4069518,0.4075255,0.4046271,0.40177557,0.40590099,0.41957906,0.4397975,0.45511377,0.4575374,0.4448373,0.4253222,0.40697062,0.39625487,0.3935291,0.3982217,0.40710536,0.41693676,0.4232743,0.425023,0.4238322,0.42398727,0.42599666,0.4263935,0.41975975,0.40789986,0.40097594,0.41206995,0.44248,0.4784843,0.49892357,0.4932808,0.465839,0.4306476,0.3997225,0.38092422,0.37744054,0.38765398,0.40372443,0.4153243,0.41672787,0.4111252,0.40715885,0.4109997,0.42024592,0.42595816,0.42222098,0.41435292,0.41811755,0.4431887,0.48153672,0.5078707,0.5033557,0.469617,0.42762923,0.3969591,0.38389134,0.38328245,0.38756737,0.3925563,0.3957652,0.39734483,0.40011755,0.4095769,0.42796278,0.4517208,0.47320804,0.4872978,0.49239555,0.48912024,0.47776178,0.46056494,0.44199666,0.42720222,0.4187405,0.41579965,0.41574773,0.41559947,0.41384378,0.41025567,0.40619004,0.40252373,0.39932922,0.39512143,0.3897126,0.38584998,0.3893597,0.40357316,0.42500922,0.4447807,0.45764557,0.4686073,0.4877416,0.5169275,0.5422537,0.54436696,0.5160486,0.46999276,0.42808023,0.40450284,0.39849016,0.39941534,0.397517,0.39021692,0.38348654,0.3874644,0.41113782,0.45282647,0.49892202,0.5273397,0.5255753,0.49657655,0.458166,0.4259794,0.40758547,0.40153277,0.40356335,0.40893435,0.4133998,0.41633677,0.4206424,0.42892778,0.43777645,0.43826127,0.42577052,0.4045626,0.38623038,0.37765673,0.37867263,0.38369933,0.38914612,0.39399004,0.3986025,0.40282926,0.40582314,0.40727186,0.4075625,0.40794232,0.40892097,0.41100213,0.4158499,0.42738423,0.4468919,0.4686751,0.48005414,0.47160304,0.4450048,0.41310403,0.38966098,0.38116196,0.38536572,0.39568365,0.40540397,0.41022947,0.41022244,0.4102582,0.41739717,0.4335011,0.45240638,0.4620149,0.4559362,0.43820044,0.42282078,0.42354527,0.44358185,0.47256604,0.49029776,0.48448512,0.45727798,0.42618456,0.40555677,0.40001512,0.40292916,0.40772888,0.41064444,0.41179165,0.41123232,0.41107008,0.41439465,0.42393342,0.43692696,0.44573164,0.44401845,0.43149784,0.41550234,0.40353283,0.40166745,0.4089352,0.42115018,0.42884132,0.42662272,0.4139357,0.40011874,0.39463603,0.4032227,0.42160437,0.44147944,0.45485136,0.4583631,0.45267424,0.4410421,0.42857537,0.41920963,0.41366032,0.40978277,0.4079074,0.4147114,0.43717805,0.4732152,0.50632685,0.51811,0.5017447,0.4682697,0.43508783,0.4135082,0.40283322,0.39497566,0.38251904,0.36448574,0.34654745,0.3356781,0.33497646,0.3429588,0.35702896,0.3746562,0.39244464,0.4049777,0.40877357,0.40450075,0.3967063,0.3883706,0.37932312,0.36738464,0.35355985,0.34333453,0.34594813,0.36689055,0.40378305,0.44377252,0.47329918,0.484743,0.48156378,0.47087193,0.45887604,0.44800678,0.43978083,0.43480936,0.43159994,0.42599544,0.41479933,0.3993108,0.38576916,0.37988135,0.38224444,0.3874857,0.39082012,0.39354885,0.40454176,0.42876172,0.46053946,0.48155418,0.48012325,0.45782128,0.4316113,0.41390905,0.40895995,0.41024116,0.41207194,0.4098895,0.40393996,0.39629316,0.39207983,0.3956915,0.4088446,0.4277313,0.4443966,0.45165586,0.44944528,0.44800225,0.45859078,0.48256174,0.5043223,0.5065548,0.48361048,0.4491402,0.42027792,0.40698114,0.4063373,0.4111624,0.4149762,0.41488776,0.4116852,0.4093286,0.41517684,0.4323,0.4573375,0.47758505,0.4845015,0.47604144,0.46059,0.44406387,0.43088567,0.4210504,0.4166739,0.4172999,0.4211922,0.42445898,0.42639962,0.42887104,0.43431583,0.44143245,0.4459133,0.44368967,0.43475917,0.42324933,0.41442725,0.41129577,0.41265833,0.4150181,0.416236,0.41941133,0.4309583,0.4540566,0.48121175,0.49753466,0.49134138,0.46617758,0.4365078,0.41653466,0.40822688,0.40540528,0.40104637,0.39412868,0.3867843,0.38322088,0.38858616,0.4106171,0.45112798,0.5011795,0.53892237,0.54768115,0.5249161,0.48616123,0.44769478,0.4203432,0.40569076,0.403234,0.41021904,0.42286634,0.43710616,0.45102832,0.46378133,0.47222376,0.47063866,0.45622623,0.43357024,0.41269717,0.40090084,0.39862275,0.40143278,0.40486205,0.40661514,0.4058102,0.4046609,0.40856895,0.4257444,0.45709133,0.49248314,0.512701,0.50722784,0.4823785,0.45737502,0.4474727,0.45280346,0.4621698,0.46096167,0.44336128,0.41313145,0.3841343,0.37082767,0.37929738,0.40145907,0.41824135,0.41497204,0.39063835,0.35990906,0.339502,0.33785772,0.3506213,0.3658595,0.37256444,0.36641833,0.35180223,0.33717477,0.33071038,0.33494338,0.34712708,0.35906434,0.36333457,0.35752368,0.3493173,0.35290048,0.37628165,0.41209736,0.43583658,0.4282721,0.38852033,0.33991846,0.30983114,0.31323156,0.34565032,0.3861359,0.41389266,0.41426942,0.3910679,0.35572013,0.32380143,0.3015412,0.28884375,0.2804634,0.27333376,0.26641285,0.26056525,0.25543323,0.2505434,0.24471818,0.23739833,0.2274617,0.21490496,0.20101295,0.18844317,0.17885834,0.17166018,0.16463159,0.15682262,0.15325777,0.16587162,0.20874798,0.28176174,0.36318016,0.4158882,0.41707173,0.3727394,0.31323227,0.26526406,0.23824936,0.2258612,0.21910433,0.21295162,0.20628811,0.20023674,0.19700263,0.19942719,0.209027,0.22440863,0.24144955,0.2559105,0.26553512,0.2707076,0.27224615,0.27157998,0.26975223,0.26850507,0.26769462,0.26611677,0.2621007,0.25601318,0.24946018,0.2433785,0.23722608,0.23012973,0.22247182,0.21559526,0.21011996,0.20584674,0.20165296,0.19748871,0.19315313,0.18953127,0.18654294,0.18504505,0.18445958,0.18474005,0.18441015,0.18359566,0.18213046,0.1807035,0.17833622,0.17461269,0.16969638,0.16558206,0.163038,0.1609361,0.15624757,0.1485186,0.14161648,0.14266428,0.15598577,0.1794424,0.20564215,0.2276461,0.24301322,0.2532697,0.2607789,0.26646495,0.2699703,0.27054754,0.2678934,0.26267222,0.25682926,0.2533826,0.2543547,0.25961897,0.2663796,0.27251586,0.27743208,0.28243652,0.28713796,0.28996167,0.28932586,0.28644297,0.28412268,0.28428772,0.2868327,0.2899075,0.29213533,0.29222214,0.29028973,0.28693202,0.28399917,0.2826296,0.28280452,0.2827843,0.28022107,0.27405384,0.26523718,0.25644863,0.24903502,0.24210751,0.23335586,0.2223856,0.21152848,0.2042675,0.20200373,0.20269437,0.20183603,0.19565965,0.18381213,0.16958703,0.1571287,0.14817077,0.14213282,0.13871026,0.14035894,0.15021086,0.16868247,0.1916609,0.21337102,0.22992037,0.24091363,0.2480871,0.2533317,0.25762013,0.26080105,0.26221278,0.26173022,0.260973,0.2631741,0.271428,0.28620473,0.30481187,0.3226017,0.33607784,0.34378442,0.3469788,0.34726918,0.34647372,0.3450921,0.3439856,0.34355476,0.34490457,0.3480722,0.35310423,0.35852143,0.3627446,0.36330345,0.3594893,0.35198984,0.34356463,0.33625838,0.3313947,0.32881692,0.32867417,0.33077595,0.33472764,0.33890688,0.34148344,0.34127173,0.3388163,0.3357614,0.33400464,0.33412647,0.33571824,0.33751133,0.33901975,0.3398161,0.33965102,0.3375429,0.3331915,0.3274941,0.32293418,0.32203284,0.32558522,0.33208287,0.3387024,0.34363568,0.34619603,0.34625134,0.34288788,0.33579615,0.32619512,0.3170711,0.31109214,0.30937693,0.31147194,0.3165851,0.3239633,0.3322847,0.33953974,0.34350014,0.3435353,0.33989725,0.3340257,0.32667693,0.3198332,0.31535938,0.31557631,0.32053152,0.32882515,0.337885,0.3458415,0.35208297,0.3573366,0.3637285,0.37333187,0.3874699,0.40455866,0.4214245,0.43412387,0.44134474,0.44340768,0.44102636,0.4325877,0.41602024,0.39222786,0.3675333,0.35143152,0.35065094,0.36472833,0.38585374,0.4044961,0.41483936,0.41786352,0.41823816,0.42050114,0.42648423,0.43638113,0.45068383,0.46740332,0.4817516,0.48543084,0.4762888,0.45871827,0.4437524,0.43808123,0.44382027,0.45790258,0.47726837,0.497484,0.5142771,0.524076,0.52726334,0.5247998,0.51724166,0.50283176,0.4850054,0.47093055,0.46824613,0.474021,0.47803244,0.47042152,0.45241097,0.4326742,0.42038617,0.41827092,0.42493913,0.4369587,0.44923654,0.45430633,0.4453334,0.42251197,0.3942428,0.37176597,0.36104855,0.35999632,0.36369383,0.36950436,0.3798029,0.39804116,0.4249693,0.4563204,0.48168302,0.49021444,0.47442496,0.43998387,0.3996855,0.36887714,0.3527328,0.34968603,0.35447142,0.36515215,0.38174483,0.4048598,0.43322453,0.46363553,0.4893454,0.5032759,0.5008251,0.4860728,0.46757522,0.45307878,0.44240728,0.43068448,0.41438305,0.39562333,0.3804371,0.37315023,0.37477553,0.38374892,0.39955983,0.41935995,0.43711528,0.44271234,0.43207178,0.40906504,0.38517806,0.3688357,0.36299226,0.3656139,0.37466213,0.38920853,0.4084208,0.42979968,0.45013154,0.4644105,0.46898368,0.4597688,0.4395233,0.41427174,0.39481488,0.3862387,0.38878766,0.39627692,0.40313938,0.4059572,0.4062769,0.40778133,0.41534233,0.4283031,0.44158876,0.44500816,0.435694,0.41837096,0.40621278,0.40642503,0.4181694,0.43157676,0.4387094,0.43678477,0.43034804,0.4259369,0.42903814,0.44186297,0.46091,0.47850764,0.4836903,0.47255728,0.4492403,0.42602336,0.41207215,0.4095508,0.41312134,0.4158167,0.41481376,0.41294673,0.41653323,0.43026522,0.45117792,0.47004715,0.47388586,0.4589251,0.43041494,0.40370047,0.38962626,0.39353752,0.40891394,0.4268123,0.43683752,0.438863,0.43845305,0.4459014,0.46252024,0.48157176,0.48968685,0.47891116,0.45092598,0.41719767,0.3917198,0.38365865,0.39192554,0.4060582,0.4123449,0.4052913,0.39156723,0.38629603,0.3993125,0.4266474,0.451985,0.45809564,0.44031593,0.40820464,0.3789567,0.364722,0.3673251,0.38010392,0.39304307,0.40050927,0.40236175,0.40573063,0.41774324,0.44099948,0.46811876,0.48592338,0.48454592,0.46518862,0.44002596,0.42259666,0.42004645,0.42879942,0.4395195,0.44240484,0.43526557,0.42392895,0.41988578,0.43006673,0.45091584,0.46810707,0.46759453,0.44645357,0.4153328,0.389124,0.37669912,0.376834,0.38292813,0.38767782,0.3879151,0.3844917,0.3824339,0.3873541,0.40281928,0.4267834,0.45213234,0.46833217,0.46744737,0.44475022,0.40211865,0.34413013,0.28075302,0.22144209,0.17588806,0.15015525,0.15095711,0.1820131,0.2403723,0.31065857,0.3721207,0.41004714,0.4242526,0.4251704,0.42382815,0.4260553,0.4313042,0.4372896,0.44125354,0.4435394,0.44774917,0.46122888,0.49049893,0.5328203,0.57334214,0.5900925,0.57193303,0.5266533,0.47716558,0.44302857,0.4297831,0.4300531,0.43348762,0.43402418,0.4312245,0.4272908,0.42408827,0.42085817,0.4158961,0.40828022,0.40000644,0.39410245,0.39460286,0.40498853,0.4291298,0.4633316,0.49691024,0.5118061,0.50069314,0.46860573,0.43475425,0.414623,0.41417933,0.4262826,0.43831655,0.44147632,0.43455255,0.42382976,0.41523704,0.4110702,0.40943477,0.40742114,0.40438497,0.40249923,0.40628883,0.41943285,0.43977776,0.45919836,0.4662567,0.4572107,0.4371043,0.4174815,0.4050063,0.39980134,0.39766037,0.3965949,0.39734733,0.40140164,0.41000625,0.42546627,0.45170546,0.486177,0.51711106,0.52581257,0.5058617,0.46687913,0.43043908,0.4092014,0.40331674,0.4034429,0.4026327,0.39867878,0.3932135,0.3885232,0.3859943,0.38586596,0.38651392,0.386251,0.38398656,0.38238737,0.38607264,0.40125647,0.4278293,0.45965505,0.4825618,0.4874629,0.47210062,0.4472836,0.42534837,0.4172716,0.42218414,0.43146142,0.43243244,0.4212515,0.40329084,0.38898006,0.38266906,0.38224724,0.38198733,0.37865543,0.37187025,0.36570537,0.36749804,0.3866544,0.4241667,0.4689386,0.4992133,0.50135744,0.47785416,0.44581887,0.41987893,0.40439472,0.39560804,0.38952437,0.38543308,0.3847909,0.39089426,0.40928546,0.4422566,0.48296753,0.51260716,0.51478046,0.4875811,0.44778267,0.41535434,0.40072665,0.40070435,0.4068519,0.41287196,0.41743192,0.42136756,0.42493787,0.4266251,0.42472756,0.41927826,0.412403,0.40726507,0.40766096,0.41730854,0.44039127,0.47399306,0.5080728,0.5243898,0.51432496,0.48252726,0.44918963,0.4315562,0.4355353,0.45172605,0.46472883,0.46419165,0.45027304,0.43218544,0.4186064,0.41297412,0.41232798,0.41318014,0.41344413,0.41526246,0.4223369,0.44029406,0.46959186,0.5030065,0.52353233,0.5170624,0.48208997,0.43426862,0.39310327,0.37098578,0.3669368,0.37390307,0.3837092,0.39205316,0.3987011,0.40698636,0.42246115,0.4449083,0.46932185,0.4837656,0.4841219,0.47331938,0.4645197,0.4676366,0.4843557,0.50584227,0.51750916,0.5117756,0.4895467,0.46204582,0.43711305,0.4189733,0.40662506,0.40085092,0.40281227,0.41264248,0.42945573,0.4518045,0.4777287,0.49994,0.50874925,0.49845257,0.47507605,0.45260128,0.44219723,0.44551447,0.4540638,0.45936903,0.45610392,0.4466013,0.4335718,0.41996053,0.40784004,0.4007258,0.40152743,0.40780368,0.414392,0.41560185,0.41088653,0.4031987,0.39770564,0.3976312,0.40137994,0.40533605,0.40638936,0.40571335,0.4049088,0.40561268,0.4074553,0.40946278,0.41105413,0.41227722,0.41567817,0.42394522,0.44098485,0.4649599,0.48734346,0.4939021,0.4791325,0.45184174,0.43080524,0.4275203,0.43848476,0.44935557,0.44791117,0.432932,0.41367218,0.40294063,0.4093894,0.43050966,0.45506644,0.4662762,0.45730367,0.4326848,0.4094329,0.40155673,0.41273436,0.43302193,0.4462196,0.44304833,0.42612788,0.40884295,0.4029379,0.41117886,0.4261928,0.4366926,0.43630984,0.42738175,0.4195763,0.4231584,0.44056812,0.4643173,0.47911265,0.47470072,0.45258656,0.42803273,0.41786563,0.42979863,0.45588204,0.47861636,0.48215857,0.4634876,0.43411145,0.41246632,0.41331208,0.43589902,0.4663411,0.48225287,0.47406793,0.44694504,0.4214479,0.4133751,0.42689633,0.4514768,0.47130337,0.47690415,0.4701136,0.4630129,0.46710488,0.48406705,0.50418514,0.5117986,0.49955273,0.4719629,0.4440781,0.42861035,0.42848495,0.43659666,0.4414604,0.4377985,0.42829552,0.42326954,0.43144858,0.4544979,0.48286262,0.50069517,0.49570087,0.46957108,0.43724155,0.41693577,0.41772318,0.43422654,0.45229372,0.45724764,0.44564238,0.42447725,0.40765777,0.40465352,0.41579095,0.43300104,0.44424948,0.44334498,0.43273124,0.42479953,0.4323678,0.45824155,0.49071118,0.508349,0.4989033,0.467556,0.43580517,0.42272684,0.43254063,0.45300522,0.46568918,0.46053717,0.44083,0.42046437,0.41188422,0.4190725,0.4350507,0.44782326,0.44721946,0.4324627,0.41259742,0.40142682,0.4085511,0.4314882,0.4577614,0.4701908,0.4622593,0.43938687,0.41847458,0.41221514,0.42335296,0.44173858,0.4529883,0.44906428,0.43425,0.4229343,0.42883226,0.45355543,0.4851141,0.50344706,0.4975437,0.47062418,0.44050816,0.42403218,0.4283401,0.44564915,0.46108985,0.4628307,0.4512324,0.43708453,0.43416807,0.4483405,0.47443464,0.49704334,0.50115824,0.480863,0.44630447,0.41558567,0.40517458,0.4162768,0.43814102,0.45283946,0.4518402,0.43817493,0.42657128,0.4308,0.4541366,0.48543167,0.5038531,0.49628356,0.46534005,0.43022954,0.4095254,0.41009197,0.42354533,0.43546915,0.43771604,0.43355346,0.4325632,0.43895224,0.4474902,0.4511222,0.44927904,0.44748726,0.4487721,0.4510276,0.45135978,0.45121875,0.45332173,0.4578277,0.46151245,0.4641011,0.46764138,0.47440496,0.481855,0.48755765,0.4921011,0.49890065,0.50833255,0.5166493,0.52052444,0.52118796,0.52179295,0.5230902,0.52207357,0.5177664,0.5124864,0.5094165,0.5075331,0.5034885,0.49731576,0.49309477,0.49452186,0.49974036,0.5043653,0.50657576,0.50787324,0.50915605,0.5084255,0.50416,0.49856722,0.49476683,0.49329984,0.49144742,0.48960185,0.49118754,0.49847603,0.50680536,0.5098099,0.50734323,0.5082333,0.51830477,0.53317934,0.5388923,0.529352,0.509994,0.49346545,0.48478508,0.4802319,0.47344768,0.46140257,0.4458016,0.43113863,0.42577973,0.4390702,0.4729134,0.5153492,0.5434132,0.54128665,0.51160467,0.47378764,0.44617915,0.43553665,0.4374521,0.4447415,0.4514319,0.45403492,0.4522506,0.45074773,0.4559749,0.46988964,0.48485377,0.488276,0.47177568,0.43849626,0.3986348,0.36360762,0.33980346,0.3313246,0.33686852,0.3503649,0.3593794,0.3561968,0.34425557,0.3386548,0.35141787,0.38050187,0.41028675,0.42307815,0.4105675,0.3771759,0.33963457,0.3169433,0.31965926,0.33997527,0.36198902,0.37605563,0.39089537,0.42012072,0.46684876,0.5136504,0.53888136,0.5333223,0.5080545,0.48153237,0.46612954,0.46337608,0.46831763,0.4753568,0.47959343,0.48042703,0.48160794,0.49131712,0.5097685,0.5264068,0.52151006,0.48796868,0.4360738,0.39023146,0.36777267,0.3722297,0.39412257,0.42003644,0.43945733,0.44845602,0.4512308,0.45647487,0.470263,0.49037006,0.5047198,0.5010122,0.47495532,0.43586597,0.39808515,0.37285376,0.36286828,0.36607584,0.378193,0.39414045,0.40841997,0.41913375,0.4286901,0.4393086,0.44603455,0.43944275,0.41520894,0.38179898,0.35351852,0.34016457,0.33927476,0.3418331,0.3375853,0.3225586,0.3018583,0.2907559,0.30757582,0.35780063,0.4271842,0.48721138,0.5188785,0.5222656,0.51288766,0.5029551,0.49504924,0.48525715,0.4716566,0.4556383,0.44165733,0.43566433,0.4460543,0.47552666,0.5155018,0.5438853,0.5414564,0.5053372,0.45344725,0.40960118,0.38919804,0.39312646,0.41279936,0.43726596,0.45871174,0.4745417,0.48792067,0.50367385,0.5235054,0.5400194,0.5392429,0.5094027,0.4525707,0.3872651,0.33831492,0.32250527,0.33839932,0.37055948,0.400039,0.417889,0.42709288,0.43714333,0.45134464,0.46279192,0.45830572,0.430378,0.38424852,0.33586922,0.30353382,0.29657564,0.31187972,0.3339034,0.34565416,0.33842576,0.32095504,0.31499377,0.34117773,0.4009355,0.47203538,0.52326614,0.5380175,0.5225306,0.4963847,0.47353366,0.45867506,0.45047307,0.44980773,0.45699227,0.47047535,0.4859893,0.5003335,0.51035255,0.5106789,0.494499,0.46164235,0.4225726,0.3928107,0.3815607,0.3872732,0.4025902,0.4198425,0.43369803,0.44152462,0.4450223,0.4512044,0.46649548,0.49118993,0.51401144,0.52048224,0.5009951,0.4601209,0.41188988,0.37307706,0.35273048,0.3502221,0.35602155,0.36017188,0.3559256,0.3442838,0.32980958,0.3205998,0.32164034,0.33418438,0.3529426,0.37199005,0.38691452,0.39679062,0.40020224,0.39450634,0.37585297,0.34332308,0.30249783,0.26871136,0.26357868,0.30092254,0.37309816,0.44771302,0.49093977,0.48833668,0.45507145,0.4160737,0.39084005,0.38441542,0.39444074,0.41433516,0.43603662,0.4539152,0.46890578,0.48850787,0.5145759,0.5389672,0.54669267,0.5352316,0.51546216,0.5056463,0.51194674,0.5293367,0.5449032,0.54946613,0.53801507,0.5132625,0.48361126,0.4632782,0.46124288,0.4760525,0.49042085,0.48635718,0.45419517,0.40350056,0.35179403,0.31700194,0.30711535,0.32264057,0.3576696,0.40236154,0.44461396,0.47403297,0.4865481,0.48349473,0.46714458,0.43717504,0.39381352,0.34263602,0.29459605,0.26051185,0.24742644,0.25726354,0.28789297,0.33101833,0.37721786,0.42071924,0.4637281,0.50575787,0.5386962,0.5486333,0.5339823,0.50745094,0.48822054,0.48348263,0.4879643,0.49194184,0.49094328,0.4871432,0.48536894,0.49193263,0.5115945,0.54278415,0.57317644,0.58328956,0.5618007,0.5147546,0.46368194,0.4289932,0.42017603,0.43319058,0.45716307,0.47913507,0.4911298,0.49260187,0.49224257,0.4991208,0.5170564,0.536315,0.54245025,0.52367944,0.48454753,0.43898502,0.40310097,0.38179913,0.3723222,0.36702704,0.36256078,0.35904038,0.36265862,0.37788817,0.40490568,0.4327761,0.44621423,0.432353,0.39060387,0.33273712,0.27661186,0.23987259,0.2335407,0.26338977,0.3236623,0.4008766,0.47359347,0.5285864,0.5601651,0.5733347,0.57024485,0.5556946,0.5342595,0.515321,0.5041574,0.5007742,0.50017506,0.4970707,0.49021292,0.48119596,0.47530815,0.4771498,0.48995867,0.5096982,0.52721095,0.5312217,0.5193143,0.49780953,0.4787461,0.46903205,0.46916142,0.47422794,0.47809908,0.4762586,0.4678925,0.45845684,0.45760128,0.47120905,0.49552432,0.5131386,0.50678724,0.46727952,0.4060491,0.34394518,0.3031102,0.29134366,0.3034612,0.32576558,0.34670138,0.3613851,0.37058318,0.37597647,0.37620875,0.36816835,0.3497769,0.32423148,0.300566,0.29405442,0.31775114,0.37173638,0.43441248,0.47480103,0.47473836,0.44546893,0.41697827,0.41611108,0.4467684,0.49347773,0.53053766,0.5409858,0.5222717,0.49224272,0.47620526,0.4910303,0.52981806,0.56629544,0.578675,0.5661244,0.5481362,0.5423105,0.5516033,0.5659034,0.574246,0.57411736,0.570549,0.57237357,0.58530307,0.6070344,0.6265421,0.6284723,0.6058655,0.5651979,0.52515644,0.5023823,0.50388247,0.5233019,0.54836565,0.5649767,0.5658529,0.5511783,0.5317988,0.5199365,0.52139264,0.52782464,0.5235562,0.49992776,0.46355557,0.4321216,0.42180488,0.43754947,0.4734396,0.51300496,0.5407124,0.5469679,0.5381562,0.52886033,0.5301657,0.539114,0.5400963,0.522378,0.4886664,0.457459,0.4483349,0.46903792,0.50903416,0.5442038,0.5563697,0.54411465,0.5232643,0.50859404,0.5040707,0.5033043,0.499292,0.48913386,0.47334394,0.4535669,0.4315743,0.40950605,0.38977548,0.37526008,0.36900732,0.37335303,0.3899382,0.41899136,0.46059275,0.5094256,0.5545216,0.5786678,0.5714124,0.536102,0.49217495,0.4627794,0.45885614,0.4731681,0.48557582,0.48246816,0.46411577,0.44249508,0.42705992,0.41994777,0.41898152,0.42302835,0.43260828,0.4475336,0.46704504,0.49168935,0.52020365,0.5455702,0.55328965,0.5327515,0.48575675,0.42859796,0.38037488,0.35534182,0.35768262,0.38268828,0.41650546,0.44348255,0.45516884,0.45698905,0.46300593,0.48140946,0.5065532,0.5211814,0.5144692,0.48891488,0.4592842,0.43688157,0.42622483,0.4253746,0.432979,0.44597897,0.45870826,0.46333894,0.4564073,0.44437692,0.4401445,0.45380962,0.4809349,0.50679815,0.5185717,0.5192299,0.52178556,0.534938,0.5519109,0.5594247,0.55095476,0.5330136,0.5161265,0.5070283,0.5054357,0.5075739,0.5070074,0.4989229,0.4818273,0.46113265,0.4437758,0.43581665,0.4373732,0.4444301,0.44934145,0.44737133,0.44127694,0.44336048,0.46383882,0.50187737,0.5393991,0.55780333,0.54536194,0.5079691,0.45754027,0.41199693,0.38455975,0.3828512,0.40313265,0.43632972,0.4751432,0.51658773,0.55721265,0.58549094,0.5881375,0.5591499,0.50935036,0.45570543,0.41237506,0.3839762,0.37345123,0.3831475,0.41099763,0.44575822,0.4717505,0.47954932,0.47139168,0.4575187,0.44774935,0.44527027,0.44769993,0.45238277,0.46124646,0.4800222,0.508542,0.5362539,0.54381824,0.5211026,0.47419906,0.42538163,0.39571512,0.3958933,0.42103407,0.45700964,0.48748887,0.5026582,0.5017763,0.49110427,0.47799525,0.46706524,0.45927766,0.45294788,0.4469358,0.44279477,0.4460181,0.46117234,0.4853746,0.50694937,0.51235896,0.49760166,0.46824834,0.43532526,0.40745604,0.39309764,0.39713487,0.41873714,0.44711125,0.4702642,0.48248306,0.4897785,0.49843314,0.50863343,0.50964755,0.49477565,0.46764597,0.4452835,0.44419193,0.4687141,0.506421,0.5328526,0.5301199,0.4952576,0.44498393,0.39774358,0.36779323,0.35796955,0.3678713,0.392176,0.4245949,0.45952216,0.49589476,0.5351749,0.5731008,0.59837246,0.5971344,0.5667053,0.51931596,0.47752526,0.46009716,0.4709046,0.49730015,0.5179478,0.51841515,0.5002045,0.47991693,0.47604442,0.49350283,0.51974964,0.5314503,0.5155626,0.47625038,0.4337614,0.40455198,0.39521596,0.40115902,0.41683313,0.4363843,0.4560281,0.47371182,0.49403968,0.52216935,0.5570278,0.5831823,0.5828096,0.5495318,0.49953684,0.4589374,0.44638905,0.45851502,0.47702932,0.48213053,0.46816972,0.44281527,0.4221712,0.41875672,0.4356183,0.46300927,0.48375103,0.4849527,0.46621382,0.4397553,0.41952074,0.41200665,0.41270265,0.4100443,0.3930674,0.35718378,0.30746296,0.25618193,0.21971898,0.2122162,0.23878574,0.29015028,0.3460084,0.38740006,0.40698704,0.41066936,0.40839812,0.40714788,0.40618655,0.39933786,0.37795913,0.3402821,0.29709974,0.27057934,0.27969193,0.32625595,0.39287594,0.45625433,0.50212044,0.5291739,0.5401387,0.5341503,0.50616235,0.45560658,0.38925052,0.31964436,0.25922498,0.21885432,0.20638628,0.22276157,0.25849116,0.29816973,0.33179078,0.36223117,0.39776552,0.4397541,0.47658148,0.4943333,0.48867682,0.46978045,0.45459452,0.45628294,0.4773859,0.50924236,0.5380173,0.5521207,0.54675,0.5248523,0.49363074,0.4632012,0.44018376,0.4277687,0.423604,0.42744216,0.43899155,0.45927015,0.48379043,0.5067633,0.5210926,0.52442247,0.5169824,0.5011522,0.47487906,0.4328638,0.37086415,0.29587552,0.22496694,0.17666543,0.15834884,0.16406097,0.18065828,0.19615571,0.20391248,0.2014746,0.19022118,0.17634104,0.17323975,0.19533135,0.24739163,0.3153706,0.37451398,0.40530327,0.4063727,0.39028373,0.37316647,0.36595643,0.3728641,0.38983524,0.40563786,0.40812704,0.39606357,0.38456795,0.39362776,0.43043527,0.47981986,0.51879096,0.5333927,0.52792984,0.51537156,0.5075769,0.51003796,0.5211572,0.5345016,0.54069954,0.5349901,0.5187629,0.4986271,0.47825113,0.4562564,0.42759037,0.38988855,0.3469008,0.30856693,0.28756905,0.29172277,0.31841898,0.35261956,0.37509847,0.37294617,0.34805417,0.31672153,0.3004516,0.31305268,0.35054526,0.3923545,0.41389164,0.40308347,0.36987224,0.33920965,0.33244815,0.35036778,0.37386882,0.38155532,0.36764994,0.3442742,0.3281554,0.32664922,0.334596,0.34195647,0.34345642,0.34227172,0.3458952,0.35890627,0.37920997,0.3998302,0.41291723,0.41286585,0.39939526,0.38108575,0.3736868,0.39017984,0.42819378,0.46907842,0.4926817,0.49371776,0.4866679,0.4900732,0.5111957,0.5380042,0.55309993,0.54776055,0.5302742,0.51591253,0.5164471,0.5315739,0.5535187,0.5699894,0.57437396,0.56670576,0.5573866,0.5575842,0.57095367,0.58769745,0.59131056,0.5754605,0.54978365,0.53465277,0.5416765,0.5673325,0.59697723,0.61785984,0.6252477,0.6220874,0.6151027,0.61235076,0.61758095,0.62840456,0.63440657,0.62818354,0.60921234,0.58665115,0.56813043,0.5562971,0.54782295,0.54029346,0.5340903,0.5315017,0.5324259,0.533133,0.5284607,0.51748204,0.5055949,0.5006855,0.50476694,0.5131185,0.5207288,0.5315139,0.5511055,0.5776634,0.5952661,0.59198624,0.5695845,0.5449369,0.52936655,0.52181435,0.5127252,0.49863306,0.4854548,0.48178157,0.49006072,0.504653,0.5175762,0.5240061,0.52408046,0.520381,0.5160554,0.51399547,0.51716256,0.5276535,0.546513,0.5717635,0.5975104,0.61270183,0.60798687,0.5831395,0.55084294,0.5261112,0.51441526,0.50876904,0.5005786,0.48969594,0.48335838,0.48666975,0.49620438,0.5036351,0.503854,0.49975702,0.49914905,0.50780433,0.5251962,0.54437006,0.5573072,0.55797225,0.5464935,0.52818686,0.5133457,0.5124026,0.5278456,0.55081224,0.5625426,0.551645,0.5211582,0.490379,0.47679758,0.4848915,0.50315934,0.5148681,0.5115935,0.49629092,0.4800723,0.471446,0.47347572,0.48243573,0.4928092,0.49894014,0.49844113,0.49242842,0.48710284,0.49111763,0.50866526,0.5334348,0.549347,0.5454641,0.523916,0.50011927,0.48628637,0.4866035,0.49598074,0.5097289,0.5230822,0.5344457,0.5422668,0.54873157,0.5550379,0.5626356,0.5694964,0.5740008,0.57365054,0.5670927,0.5536735,0.53634304,0.5213485,0.5153807,0.5197944,0.52970695,0.5370939,0.53774947,0.5334139,0.5300076,0.53098935,0.5339739,0.5318348,0.51947016,0.49806306,0.4753628,0.45908144,0.45262066,0.45213887,0.45190814,0.44909558,0.44886407,0.46121916,0.49117908,0.5314989,0.56252486,0.5692565,0.54994726,0.51928085,0.49140766,0.47399715,0.46417937,0.45731428,0.44906983,0.43966103,0.43387124,0.4406394,0.46589574,0.5056758,0.5437531,0.5626473,0.5542843,0.5262595,0.4922874,0.46412313,0.44596484,0.43838036,0.43995413,0.4478484,0.45794785,0.46703947,0.47578835,0.48419985,0.48965403,0.4846922,0.4680061,0.4451557,0.42775273,0.42067277,0.42218164,0.42637098,0.4302067,0.4322823,0.4314969,0.42685512,0.42017666,0.41597497,0.41890278,0.43010226,0.4465219,0.46358374,0.47937003,0.49747267,0.5215655,0.5486152,0.56486875,0.5570901,0.5233674,0.47760215,0.43743876,0.41453755,0.40924516,0.4161477,0.426779,0.43474376,0.437391,0.4385682,0.44555366,0.46116236,0.48016322,0.48989615,0.48333928,0.46347085,0.44481698,0.44172224,0.45862624,0.48696896,0.51002556,0.51908016,0.5157403,0.51075405,0.50900275,0.5097163,0.5084235,0.5035823,0.4950125,0.48291147,0.46922275,0.46026853,0.46386993,0.48250103,0.508252,0.528864,0.53712505,0.5364221,0.534462,0.53629416,0.54151994,0.54771286,0.55263656,0.5544234,0.5524104,0.5473873,0.5424282,0.53933424,0.5387235,0.5384763,0.53740853,0.53396255,0.52865696,0.521739,0.5152824,0.5102442,0.5074502,0.5053432,0.5041726,0.50616646,0.5176358,0.5394663,0.5651967,0.57937396,0.57409674,0.5523992,0.5286915,0.51192796,0.5029296,0.49521112,0.48506364,0.47286865,0.46240363,0.45676288,0.45674577,0.46066597,0.46555164,0.4694668,0.47185352,0.47405088,0.47763324,0.483886,0.49218035,0.49909937,0.49974743,0.49021056,0.47168544,0.45048153,0.43634614,0.43853715,0.45976508,0.49330068,0.52216816,0.532237,0.52042085,0.49936822,0.48372635,0.48123357,0.48816815,0.4965683,0.49907556,0.49191096,0.47557306,0.4553803,0.4394854,0.43362927,0.4371417,0.44409713,0.4494588,0.454242,0.4652693,0.48836884,0.52003574,0.5465417,0.55174875,0.5311094,0.49411523,0.45887247,0.43733647,0.43171525,0.43491495,0.43930617,0.44035682,0.43920317,0.44029137,0.44844437,0.46474603,0.48466334,0.49935916,0.5014134,0.49127266,0.47932327,0.48119393,0.50424033,0.5405014,0.56724095,0.56707144,0.53873336,0.49964932,0.46729505,0.4498879,0.4443314,0.44550276,0.4496192,0.45443848,0.4581447,0.46162555,0.46829483,0.480734,0.49507225,0.5024751,0.49536648,0.4745808,0.44782206,0.42476818,0.4100871,0.40419996,0.40334937,0.4056425,0.4097812,0.41695353,0.4254841,0.432986,0.4356359,0.43266717,0.4245489,0.41373715,0.40203574,0.39225534,0.38729036,0.389998,0.40110716,0.4180324,0.43782404,0.4581876,0.48061204,0.50335354,0.521252,0.5235074,0.50601685,0.47433496,0.44358107,0.42532155,0.42154106,0.42569292,0.43020573,0.43164074,0.43046257,0.43109837,0.43974984,0.46341744,0.5001016,0.5383465,0.5592025,0.5548127,0.53021264,0.50028044,0.47380638,0.45308194,0.4377886,0.42916265,0.42752838,0.42973566,0.43314806,0.43913186,0.4504453,0.46504024,0.47415712,0.47087845,0.45659706,0.44055438,0.43060586,0.4281876,0.4299786,0.43267906,0.43524244,0.43847665,0.44501233,0.4592737,0.48304963,0.5102387,0.5262866,0.51895696,0.49022606,0.45656285,0.43689334,0.43812045,0.4527845,0.4652264,0.4621731,0.44018707,0.40835965,0.38417187,0.38424483,0.41163412,0.45453608,0.49009427,0.50459385,0.4972569,0.48369667,0.4783088,0.48960885,0.5136785,0.5401887,0.55806065,0.5606842,0.5497606,0.53066826,0.50917876,0.48656633,0.46154925,0.4343412,0.40883836,0.39352548,0.39726743,0.42331207,0.46170807,0.4888021,0.48118427,0.4318645,0.35860744,0.29172954,0.2597916,0.27308467,0.32316384,0.38109127,0.41805992,0.41524303,0.38067624,0.33345094,0.29466975,0.27026674,0.25763848,0.24968642,0.242938,0.23628145,0.23025133,0.2249126,0.21991283,0.2142305,0.20736676,0.19946331,0.19154151,0.18441689,0.17848796,0.17358561,0.16932154,0.16539599,0.16350232,0.17025991,0.19786079,0.2553531,0.3351752,0.40906468,0.4441783,0.42853978,0.37842593,0.3239715,0.28492856,0.26406133,0.2529466,0.24377696,0.23285276,0.22048943,0.20850818,0.19901554,0.19359545,0.19325759,0.19812815,0.2072521,0.21819137,0.22797477,0.23401427,0.23555635,0.23336504,0.22938175,0.22534673,0.22254433,0.2217455,0.22399813,0.23053066,0.24192382,0.25697616,0.27332988,0.28852293,0.30181372,0.31297067,0.32235947,0.32862717,0.33073956,0.3274025,0.3196371,0.30909893,0.2985281,0.28966853,0.28262928,0.27478588,0.2622419,0.24304491,0.21942721,0.19659455,0.17910995,0.16807897,0.16165538,0.15679745,0.15143259,0.14539313,0.14099057,0.14283933,0.15535152,0.17958671,0.21052636,0.23963678,0.25993133,0.27029034,0.27459037,0.27730733,0.2803152,0.28256026,0.28226092,0.27829865,0.27121046,0.2636334,0.26071003,0.2680664,0.2880059,0.31696698,0.34679976,0.3701135,0.38318256,0.38720593,0.38535044,0.38157025,0.37853405,0.37767062,0.3792449,0.38393077,0.39278984,0.4064735,0.42251885,0.4364018,0.44350198,0.4429016,0.4367608,0.42848596,0.42045677,0.413741,0.4093411,0.40840685,0.41185728,0.41780314,0.4214243,0.41713795,0.40350258,0.38445768,0.36651492,0.35384712,0.34655663,0.34236613,0.33887634,0.33414078,0.3263662,0.31382397,0.29582298,0.27293828,0.24822877,0.22753416,0.21746194,0.22101356,0.23354556,0.24663089,0.25313482,0.25259697,0.24786264,0.24262272,0.23824859,0.2351054,0.23268504,0.23140419,0.23311241,0.24187128,0.26051235,0.2882628,0.31860244,0.34393123,0.35909402,0.36458644,0.363938,0.36115304,0.358739,0.35742402,0.35715565,0.35732508,0.358803,0.3636349,0.37507853,0.3929365,0.41324815,0.42774022,0.43143287,0.4236455,0.41012204,0.39598837,0.38452348,0.3743833,0.36360517,0.35121086,0.33953503,0.33137956,0.32787964,0.32626846,0.32323837,0.31673467,0.308134,0.29983637,0.29417673,0.29196802,0.29243752,0.29376104,0.29363522,0.2907801,0.28576753,0.28167975,0.28324035,0.29397526,0.31294128,0.33420745,0.35035256,0.3577014,0.35697973,0.3513756,0.3431437,0.3342882,0.32661918,0.32201,0.32050976,0.3207705,0.3205584,0.3196881,0.3195956,0.32282797,0.3286856,0.33408833,0.3346201,0.32892182,0.31796792,0.30465555,0.2917428,0.2817278,0.27571154,0.2734703,0.2742885,0.2791444,0.2894869,0.3050325,0.32057992,0.32939193,0.32712144,0.31542137,0.29933715,0.28338638,0.26938686,0.2564665,0.24373122,0.23064224,0.21864563,0.20963092,0.2063735,0.20937853,0.21714054,0.22478265,0.22881226,0.22749965,0.22301656,0.21703617,0.21105033,0.20471416,0.1981958,0.19113137,0.18370853,0.17663796,0.17330115,0.17831896,0.19510643,0.22117543,0.24928953,0.2710774,0.2829974,0.28656217,0.2862134,0.28514242,0.28425983,0.2821935,0.27745274,0.26923528,0.25828436,0.24574448,0.23309202,0.22142448,0.21176136,0.20437884,0.19902708,0.19486861,0.19119132,0.18753713,0.18394189,0.18060832,0.17762256,0.17475127,0.17156683,0.1678859,0.16394903,0.16034967,0.15756673,0.15568906,0.15441589,0.15334266,0.15227167,0.15123464,0.15034091,0.14941299,0.14799643,0.1455509,0.14196229,0.13753855,0.1328454,0.12820734,0.12379717,0.119744785,0.11637726,0.11391831,0.11224566,0.11086465,0.10921446,0.10700682,0.104230285,0.1010936,0.097804956,0.09448346,0.09107915,0.08751729,0.083903916,0.08052858,0.07764996,0.075240366,0.07305104,0.07086556,0.06864002,0.066412605,0.06411524,0.061630417,0.058945153,0.05622922,0.0536592,0.05128913,0.04906315,0.047005687,0.045170587,0.043595005,0.042142,0.040663473,0.039032925,0.037253376,0.035378933,0.033508014,0.031744424,0.03018335,0.02891635,0.028000133,0.02742552,0.027058197,0.026681237,0.026107302,0.025297543,0.02437128,0.023495657,0.022798112,0.022315688,0.022029616,0.021846272,0.021651117,0.02136191,0.021019107,0.020727595,0.02054432,0.020391805,0.020128854,0.019657709,0.01896332,0.018019574,0.016719887,0.0149054,0.012549941,0.009953865,0.007767154,0.0067327805]