[0.048061654,0.05314541,0.064332105,0.078376226,0.09108376,0.098594956,0.09863639,0.09248445,0.08677214,0.0920148,0.117441766,0.16273163,0.21723847,0.26480508,0.29629874,0.3125831,0.323526,0.33729577,0.3573178,0.3810425,0.4049944,0.42623034,0.44212922,0.4500521,0.44832182,0.4389023,0.42691305,0.41859627,0.41774926,0.42418218,0.43399748,0.44230533,0.44600663,0.4445593,0.43812534,0.42552355,0.40557575,0.37937525,0.3518735,0.3287307,0.31264874,0.30098808,0.2876325,0.26773715,0.24198,0.21795075,0.20739032,0.21866779,0.25212955,0.29688537,0.3391875,0.36679527,0.3759774,0.3679211,0.34902382,0.3268083,0.3081399,0.29530177,0.28556135,0.27445242,0.25982818,0.2447384,0.23506106,0.23651342,0.24927,0.26859665,0.28626263,0.297751,0.30293357,0.30612418,0.3093283,0.31052426,0.3027008,0.2803318,0.24484353,0.2081362,0.18677588,0.19155218,0.22078162,0.26191774,0.30198184,0.3333985,0.35596958,0.37160453,0.38256812,0.39102557,0.39913073,0.40773222,0.41353312,0.41209868,0.4008703,0.38420105,0.37012303,0.36629942,0.37389192,0.38844296,0.4041365,0.41888428,0.4336256,0.446175,0.44698238,0.4226724,0.3662292,0.28469482,0.19748871,0.12707071,0.08959844,0.0901897,0.12462801,0.18168111,0.24795254,0.31010365,0.3590045,0.39062142,0.406377,0.4101099,0.40439653,0.38919345,0.36351714,0.32971582,0.29358292,0.26130536,0.23509271,0.21407972,0.19833739,0.1897846,0.18914951,0.19292013,0.19804102,0.20705847,0.22627361,0.25662518,0.28707516,0.30125615,0.2896887,0.25905082,0.22885944,0.21800168,0.23313029,0.26411045,0.29516408,0.31492785,0.3229113,0.32290283,0.31754708,0.3062797,0.289088,0.26982147,0.2561758,0.25723305,0.2779649,0.31556723,0.35846367,0.39256528,0.4082954,0.4053607,0.38977137,0.36826286,0.34469593,0.32139835,0.30304828,0.29658934,0.3072587,0.33312806,0.3650767,0.39203176,0.4069984,0.4096665,0.40406546,0.39548942,0.38768485,0.38220194,0.37825516,0.3735377,0.36580527,0.3543974,0.34086856,0.3268468,0.31266055,0.29681286,0.2790762,0.2610259,0.24664289,0.23848224,0.23742408,0.24080831,0.24596114,0.24976476,0.24961643,0.2412309,0.22128333,0.1921656,0.16442794,0.15322651,0.16528605,0.1927073,0.21496612,0.21861963,0.20717926,0.20019872,0.21230628,0.24360085,0.27965,0.3069966,0.3198826,0.32202494,0.3197203,0.31818292,0.3184036,0.3168085,0.3057759,0.27942115,0.24002986,0.20271195,0.18744557,0.20740895,0.2575933,0.31823727,0.36656713,0.39018664,0.39111182,0.37996593,0.3680385,0.36141303,0.36066985,0.36203158,0.3603427,0.3515252,0.3347843,0.3128944,0.29125094,0.27557585,0.26967797,0.2740451,0.28646293,0.30356407,0.32175326,0.33735546,0.3470646,0.34954914,0.346572,0.34246275,0.3418014,0.3467349,0.35540485,0.362656,0.36304674,0.35399625,0.33629438,0.31256807,0.28502122,0.25658777,0.22959347,0.20736057,0.19157319,0.18702738,0.1985054,0.22848916,0.26874304,0.30208802,0.3125721,0.2969673,0.26867765,0.24688333,0.24411233,0.25894287,0.28002307,0.29626715,0.30180332,0.29748455,0.28586745,0.2726824,0.26502442,0.2704552,0.28833172,0.30918354,0.31934464,0.31541526,0.30992994,0.3271569,0.38321117,0.4728106,0.56747276,0.63594323,0.65936166,0.6424071,0.6021733,0.5623603,0.53563,0.5258613,0.52238756,0.5183634,0.5078854,0.4956175,0.48127756,0.46610412,0.44588637,0.42340216,0.40109882,0.38399124,0.36915633,0.35324192,0.33253232,0.31245813,0.29984748,0.30121794,0.31413278,0.33312523,0.35148704,0.36704102,0.3792353,0.38832772,0.39307466,0.39187637,0.38319576,0.3684059,0.35212827,0.34186187,0.3420144,0.35140145,0.3628014,0.36914277,0.3663024,0.35443178,0.3354394,0.31312856,0.29285142,0.28055707,0.2797507,0.28831676,0.2991456,0.30391482,0.30062664,0.2957416,0.2992253,0.31472743,0.33569226,0.35132208,0.3548317,0.34740517,0.3356289,0.32662585,0.32492995,0.3295957,0.3370271,0.34264016,0.3453536,0.34578896,0.34531555,0.3429515,0.33607218,0.32329765,0.307595,0.29643914,0.29580072,0.30590734,0.3201374,0.3315852,0.3367382,0.33698106,0.33466646,0.33118856,0.32641217,0.3195231,0.31015038,0.29846397,0.28639218,0.27717254,0.2743396,0.27847305,0.2860678,0.29063734,0.28815472,0.278182,0.26491895,0.25207108,0.24467283,0.24553375,0.2554809,0.26806507,0.27342075,0.26485682,0.24691308,0.23378594,0.2386009,0.26367617,0.29814422,0.32717046,0.33933508,0.33230266,0.31024024,0.2826911,0.25969306,0.24903446,0.2535969,0.27183828,0.29876137,0.32625517,0.3456986,0.35179916,0.34637132,0.33629012,0.32822415,0.32321188,0.3163589,0.30078587,0.27415,0.24451216,0.23076461,0.25493997,0.3259711,0.42983785,0.5342728,0.6096321,0.64411765,0.64452696,0.6247201,0.59772176,0.5728386,0.55636066,0.54853624,0.5461869,0.542446,0.5336786,0.5169191,0.49508002,0.47158894,0.45302102,0.4410217,0.43556926,0.4322408,0.42978022,0.42671144,0.42348132,0.4164834,0.40387797,0.38517454,0.36703372,0.35580626,0.35641697,0.3655863,0.37753966,0.38468483,0.38402605,0.37467575,0.35894215,0.33858725,0.31657663,0.2962819,0.28290507,0.27991787,0.2861707,0.2944876,0.2969986,0.29225054,0.28657284,0.28807986,0.29819456,0.31170598,0.32160762,0.3257731,0.32622638,0.32692927,0.32924017,0.33230385,0.33385623,0.33451784,0.33685124,0.34340772,0.3515745,0.35549757,0.3498665,0.33508325,0.31526992,0.29504135,0.27657095,0.2619394,0.25367948,0.25489295,0.26569366,0.28358757,0.30334195,0.32037675,0.33166635,0.33739054,0.33947024,0.33981708,0.33844125,0.33300188,0.32067716,0.30050302,0.27557346,0.25190553,0.23513229,0.22759795,0.22752698,0.23162079,0.23581104,0.23774017,0.2361414,0.23302858,0.23068394,0.23114993,0.23360085,0.23699407,0.2398742,0.24103008,0.23813842,0.22967981,0.21680707,0.20367521,0.19456112,0.19095497,0.1915475,0.19493212,0.20125936,0.21112354,0.22389625,0.23784482,0.25282028,0.2695785,0.28907844,0.30902466,0.32635972,0.33721724,0.3405895,0.33715758,0.33078945,0.32491347,0.3212894,0.3179265,0.31335583,0.30830494,0.3068281,0.31043267,0.31658974,0.3191305,0.31733367,0.32022095,0.3445448,0.39738178,0.46573982,0.51941466,0.53697664,0.51993537,0.49146208,0.47392157,0.47677898,0.4943471,0.51470494,0.52740145,0.52820134,0.5198782,0.50776577,0.49495682,0.4799329,0.45914772,0.43092665,0.39705345,0.3611989,0.32656154,0.29425356,0.2655568,0.24327417,0.2326451,0.236745,0.2534214,0.27485847,0.29135048,0.29454938,0.2808125,0.2536156,0.22566785,0.21132784,0.21846016,0.24008794,0.26072502,0.26468858,0.2478015,0.2195543,0.19906111,0.20121533,0.22550513,0.2548097,0.2686566,0.2575049,0.22882931,0.20070334,0.19106571,0.20705567,0.24255602,0.28182173,0.31149164,0.32563603,0.3271813,0.32041308,0.3100101,0.2994398,0.29257783,0.28989187,0.2879653,0.27923492,0.25909477,0.22995974,0.20487921,0.19809847,0.21622229,0.25061762,0.28624764,0.31116676,0.3236963,0.32662833,0.32188904,0.30749726,0.2815974,0.24626462,0.20880125,0.17914085,0.1639036,0.16450834,0.17790546,0.20155905,0.23343377,0.26991406,0.30467623,0.33052024,0.34272197,0.33743584,0.31309736,0.27225158,0.22706775,0.19330914,0.18091924,0.18384372,0.18747462,0.18267226,0.17601414,0.18289745,0.21102953,0.25339004,0.292936,0.31793284,0.32640815,0.3250011,0.31974912,0.31408575,0.3083655,0.30345556,0.30129552,0.3052543,0.31767455,0.33750483,0.35833225,0.37109873,0.36930493,0.35381436,0.3318437,0.31183708,0.298383,0.29125062,0.28824532,0.2876815,0.2893858,0.2929088,0.29649463,0.29602048,0.28732422,0.27219543,0.26295134,0.28012982,0.3335882,0.41215053,0.48363367,0.5235215,0.5262387,0.51002306,0.4954113,0.50029284,0.5269043,0.56594807,0.5947923,0.59862465,0.5761707,0.5442138,0.5166841,0.49997088,0.48728195,0.47126436,0.44498882,0.4095316,0.3695741,0.33589137,0.31663218,0.31557453,0.3245341,0.3299252,0.31889448,0.2920958,0.2617934,0.2446354,0.24742179,0.26507413,0.2865095,0.30609465,0.32731846,0.3585292,0.40296125,0.45382884,0.498238,0.52908474,0.5491355,0.56308514,0.56681335,0.5488365,0.504975,0.4447558,0.38784614,0.35150746,0.3449495,0.36540148,0.3979818,0.42280805,0.4264749,0.41020045,0.38389158,0.35572365,0.32762143,0.2997419,0.27656093,0.26570106,0.27193412,0.2926221,0.3215128,0.35699904,0.40441394,0.46385792,0.51986235,0.543289,0.5173376,0.45033357,0.37632847,0.32920146,0.3317731,0.38094437,0.45318055,0.5063333,0.50878304,0.45390165,0.36963132,0.29297668,0.2544249,0.258797,0.29174915,0.32306245,0.32968166,0.30307505,0.2554588,0.20360899,0.16176037,0.13433479,0.120180584,0.1142331,0.11265924,0.11366255,0.11736363,0.1220279,0.125636,0.12671603,0.12876298,0.13799657,0.16555901,0.21697795,0.28887534,0.3624173,0.42352232,0.46896172,0.50678635,0.5318196,0.5265998,0.47679487,0.3940272,0.31135625,0.26412395,0.2686325,0.31678626,0.3788427,0.42085996,0.4191769,0.37471256,0.30733663,0.24688216,0.21631734,0.22412167,0.26030907,0.30449638,0.33594975,0.34345496,0.32981673,0.3121585,0.3157692,0.35747257,0.43262538,0.51468897,0.577162,0.6093684,0.62087554,0.6252164,0.630799,0.63653183,0.6387852,0.6349409,0.6259764,0.61457205,0.60313845,0.59234387,0.58095294,0.56553024,0.5422867,0.5091815,0.46997437,0.43169823,0.40174028,0.3815358,0.36742187,0.35199276,0.33080432,0.30553868,0.2848504,0.27666453,0.28195497,0.29365972,0.30490375,0.31371856,0.32305288,0.33593503,0.35599503,0.3844701,0.41876957,0.45021322,0.47498044,0.49742565,0.5238175,0.5467613,0.5476354,0.51483667,0.45697713,0.39735904,0.35715947,0.3463608,0.3622991,0.39184964,0.4173912,0.42583466,0.41590837,0.39521018,0.37203825,0.35057023,0.33226645,0.3195645,0.31491423,0.31856188,0.32687464,0.3386217,0.35858008,0.3976257,0.45630264,0.51794356,0.54955286,0.52956265,0.4607462,0.3757826,0.3133094,0.303828,0.3491627,0.42621517,0.49221006,0.5164667,0.49273184,0.44526282,0.40223095,0.3829991,0.38570046,0.3979373,0.4029241,0.39248142,0.36642858,0.33066595,0.29089305,0.25433844,0.2290634,0.21913083,0.2199011,0.22360176,0.23061778,0.2499792,0.28745973,0.3344587,0.3736582,0.3937585,0.39946386,0.40694737,0.4293691,0.46658555,0.50566894,0.53580266,0.5555881,0.5683432,0.5687969,0.5447004,0.49205467,0.42417726,0.3648869,0.33193865,0.32989806,0.3508153,0.37922406,0.3980383,0.39506558,0.36837742,0.326399,0.28463277,0.2584298,0.25547734,0.2711722,0.29349396,0.31074506,0.3178178,0.3169687,0.31854263,0.339137,0.38913128,0.46156207,0.52873284,0.56509644,0.5620971,0.5361742,0.5104323,0.5053174,0.5257742,0.5624643,0.5932,0.59910744,0.57612544,0.5382031,0.5041693,0.48580655,0.48041892,0.47567138,0.45671257,0.41979745,0.37378982,0.33641896,0.31750333,0.31610942,0.3207563,0.32222232,0.31541935,0.3039017,0.2945691,0.29486918,0.30515525,0.3171977,0.31891826,0.30439997,0.28189597,0.27222562,0.2931476,0.3452997,0.40746024,0.45833138,0.4903319,0.51147777,0.5247705,0.5225666,0.4975541,0.45600426,0.41732824,0.39714667,0.39838028,0.4098498,0.4167874,0.4100692,0.39120623,0.36802495,0.3472619,0.3302003,0.31629813,0.3045965,0.29456118,0.284434,0.27558193,0.27329728,0.28500113,0.3147742,0.36428562,0.42873535,0.49634424,0.54433465,0.5560564,0.5295618,0.48542312,0.44871,0.4397634,0.45935252,0.49204102,0.5097508,0.4950101,0.44953713,0.39572766,0.35514662,0.34205207,0.356141,0.38931596,0.42194197,0.43715474,0.4268694,0.40209916,0.3773308,0.3627788,0.35489765,0.34646657,0.33217192,0.31549898,0.30485705,0.30752215,0.32349834,0.3446934,0.3616321,0.36952743,0.3732381,0.3833413,0.40798938,0.44545373,0.4847366,0.5181303,0.54551154,0.56937337,0.5803036,0.56157213,0.5047379,0.42316854,0.3439791,0.292106,0.2785819,0.3001171,0.34108546,0.38077137,0.40347743,0.4060141,0.39652896,0.3836303,0.37233868,0.3623931,0.35434785,0.34775802,0.34169808,0.3329455,0.32185963,0.31632835,0.33141348,0.37631238,0.44309273,0.5052076,0.5370838,0.5296256,0.49633121,0.4567604,0.4255947,0.4059792,0.39609823,0.39182615,0.3897941,0.38748357,0.38497862,0.38343576,0.38426188,0.38627613,0.3866029,0.38036624,0.36429223,0.33921716,0.31156126,0.29021862,0.28145632,0.28603995,0.2993447,0.31422415,0.32362404,0.32286212,0.31009468,0.28614435,0.25431228,0.2211032,0.19496875,0.18250804,0.1839269,0.19275707,0.20059788,0.203052,0.20370515,0.21082914,0.23175,0.26485798,0.30106476,0.32895604,0.34359887,0.34698722,0.34468397,0.34004238,0.33302212,0.32177857,0.3053037,0.28369102,0.256683,0.22451107,0.19092649,0.16640778,0.16225697,0.1824513,0.2170877,0.24961197,0.26665747,0.2658226,0.25363377,0.23956037,0.23128907,0.22956811,0.22889985,0.21820605,0.19171906,0.15297332,0.1182115,0.10391114,0.119472705,0.1585939,0.20663683,0.24695198,0.27169406,0.28146374,0.28312686,0.28283384,0.28392413,0.28651786,0.2896472,0.2924508,0.2946555,0.2957996,0.29468337,0.28963518,0.28007197,0.26727855,0.2533441,0.23875415,0.22076972,0.1960426,0.16554378,0.13891716,0.13013156,0.1471498,0.18248141,0.21625109,0.22988331,0.2194733,0.1969286,0.1794099,0.17603166,0.18381225,0.19140601,0.18982013,0.17692666,0.16197537,0.16093202,0.19172342,0.2588519,0.34472767,0.41340327,0.43442833,0.40518132,0.35126087,0.30640736,0.29014337,0.30464563,0.33891308,0.37949428,0.41156676,0.42966762,0.436432,0.44538844,0.46776178,0.5096404,0.5631528,0.6125059,0.6394906,0.63935757,0.6210191,0.60120773,0.5895428,0.5871002,0.5891798,0.5907862,0.588054,0.5793395,0.5675468,0.55779177,0.5545356,0.55779654,0.56509346,0.5735805,0.58154273,0.58887905,0.5960434,0.6049234,0.6158047,0.62740517,0.6344595,0.63080895,0.61256164,0.5822361,0.54965305,0.52568,0.51864195,0.52949274,0.5557103,0.58872026,0.6172035,0.62859505,0.6189557,0.5948698,0.57142967,0.5619398,0.57147026,0.59350467,0.6150572,0.62473637,0.6204172,0.6076532,0.59410906,0.5833685,0.5748582,0.56526035,0.5510557,0.5317182,0.5103439,0.49233916,0.48067975,0.4761456,0.47831213,0.4869125,0.4996555,0.51222134,0.5214879,0.52798426,0.53647834,0.55132097,0.5748369,0.602107,0.6237169,0.6276121,0.610808,0.57997864,0.5498987,0.53074795,0.52564245,0.5307533,0.5414265,0.5542359,0.56606907,0.57466006,0.57723045,0.5742204,0.5675171,0.5608658,0.5555203,0.55047184,0.5439721,0.53502595,0.52262235,0.50361234,0.47563335,0.441305,0.4086709,0.385278,0.37167227,0.36274016,0.35466695,0.351671,0.36550042,0.40584663,0.47130594,0.545392,0.6087571,0.64877796,0.6659086,0.664257,0.64918923,0.6251623,0.6003964,0.5834163,0.58160985,0.5960355,0.6211974,0.64452195,0.65565944,0.65096647,0.63618755,0.6178835,0.60233325,0.5937507,0.5939056,0.59963936,0.6040771,0.60674715,0.6113193,0.6227582,0.63515407,0.6403663,0.63285965,0.6186864,0.60860556,0.61167055,0.62641686,0.641728,0.64430815,0.63045996,0.60723966,0.58596396,0.5716472,0.5640511,0.5614131,0.5643553,0.57275534,0.58431464,0.595745,0.6042342,0.6075725,0.6032675,0.5911428,0.5740917,0.5575311,0.5456998,0.54013294,0.53767174,0.53176475,0.51651484,0.4938405,0.47404623,0.46800733,0.4777821,0.4955651,0.51212156,0.52418095,0.5362516,0.55375355,0.576189,0.5939767,0.5954698,0.57703346,0.5480933,0.5256603,0.52364546,0.54481983,0.57895416,0.6079289,0.6158841,0.59922624,0.5680697,0.5386011,0.52205867,0.5195493,0.52314204,0.5207125,0.5022251,0.46410227,0.41180027,0.3576649,0.3175026,0.3045336,0.32229707,0.36135042,0.40265557,0.43044546,0.43950555,0.43833348,0.4396937,0.4566935,0.49195543,0.5385959,0.57832766,0.59746575,0.59159154,0.5706109,0.5459268,0.52683395,0.5160765,0.51420337,0.51930207,0.5288343,0.53946656,0.548794,0.55521244,0.5583555,0.5569754,0.54858434,0.52937955,0.49774918,0.45536688,0.40771726,0.36262283,0.3295949,0.31670067,0.32682094,0.3565934,0.400036,0.45029917,0.49827576,0.5315132,0.5421298,0.53345364,0.5190916,0.51183605,0.5174649,0.5339362,0.55369514,0.5660906,0.5642827,0.55242234,0.5418169,0.54044646,0.5457854,0.5521409,0.5550971,0.55332667,0.54422164,0.5291156,0.51384187,0.5072281,0.5140841,0.5346012,0.56359714,0.59117913,0.60422564,0.59447813,0.56271905,0.5187939,0.4746399,0.44129312,0.42284954,0.41714534,0.4178332,0.4262836,0.44754073,0.48465928,0.5255339,0.55574256,0.5651949,0.55825067,0.54235226,0.52714086,0.51888865,0.52208924,0.53584075,0.5557728,0.576004,0.590636,0.5939395,0.58433884,0.56657165,0.5510864,0.54467314,0.54816276,0.5560317,0.56450963,0.57230455,0.5811575,0.5903203,0.5949566,0.5883619,0.5686715,0.54414225,0.5273939,0.5273494,0.54184574,0.5635298,0.58500046,0.6037312,0.61890846,0.62961155,0.63357896,0.629224,0.6192155,0.6099613,0.60650915,0.6055796,0.5974331,0.575666,0.54409915,0.5144554,0.49716794,0.4968171,0.51318115,0.54327106,0.58230555,0.6219682,0.65340495,0.66955155,0.66897565,0.6544967,0.6323442,0.60938925,0.5916855,0.58069235,0.57333523,0.5653968,0.5573035,0.55560714,0.56516236,0.58424884,0.60229605,0.61242443,0.614109,0.6148326,0.6177254,0.6218422,0.622071,0.6181399,0.61356336,0.61495787,0.6251915,0.6417177,0.65752506,0.6663839,0.66628915,0.65871507,0.6468353,0.6346136,0.6269892,0.62824583,0.6395541,0.65758795,0.67477536,0.6816737,0.6725707,0.6515264,0.6322468,0.6273292,0.6368465,0.6469763,0.6429871,0.620984,0.5905266,0.5641222,0.54848814,0.5400825,0.53158265,0.51848555,0.50531477,0.5011671,0.5135513,0.5404032,0.57220644,0.59528357,0.6013877,0.5901401,0.5716315,0.55720025,0.5551695,0.5652674,0.58452004,0.6064964,0.62488794,0.63182807,0.62559414,0.6093457,0.591273,0.5758439,0.5652511,0.5573544,0.5509916,0.544496,0.5400787,0.53917605,0.5409499,0.5372303,0.5181716,0.4770807,0.41773903,0.35370728,0.3056928,0.28841996,0.30161765,0.3250506,0.33468854,0.31688085,0.27995697,0.2439661,0.23005487,0.24688661,0.29003453,0.3438122,0.3920566,0.42455712,0.44140327,0.44721326,0.4453336,0.43309984,0.4051354,0.36091295,0.31063566,0.27125967,0.25401407,0.25596726,0.2657807,0.27555156,0.28599027,0.29823908,0.30759004,0.30488774,0.2861072,0.2570736,0.23098357,0.22153366,0.2348917,0.26777133,0.30779055,0.34250805,0.36408165,0.37363407,0.37611374,0.377252,0.3795946,0.38303956,0.38507724,0.38247195,0.3730667,0.35802642,0.34247136,0.33376214,0.33726123,0.3525976,0.37337008,0.39071533,0.3976644,0.39085162,0.37108493,0.34499702,0.32479584,0.3234243,0.3447248,0.38101578,0.4182481,0.44632745,0.46103737,0.46062827,0.44278428,0.40786934,0.36384067,0.32361555,0.29649934,0.2803323,0.26600102,0.24860303,0.23521268,0.23786275,0.26090947,0.29406175,0.31983313,0.32455596,0.30626872,0.27405015,0.24368148,0.22994958,0.23828594,0.2625732,0.28947333,0.30898833,0.31841943,0.32257637,0.32764634,0.33771148,0.35012317,0.3553929,0.34050354,0.29858986,0.2369713,0.17637984,0.13847148,0.1299692,0.13954894,0.14948596,0.15498127,0.16681974,0.19988851,0.254277,0.31529295,0.36373794,0.3902003,0.39435706,0.38080826,0.35383615,0.3201908,0.2882667,0.26770878,0.26242626,0.27061436,0.28263995,0.289615,0.28644297,0.28056744,0.28725293,0.32490522,0.39636812,0.48581287,0.56214195,0.60641414,0.6184661,0.6149625,0.60541695,0.5904446,0.5649466,0.5316545,0.5008495,0.4878128,0.50190014,0.53916556,0.580311,0.60364056,0.59778374,0.56744355,0.52724254,0.49586105,0.48783064,0.50501174,0.53393894,0.55660963,0.566932,0.57017773,0.57426804,0.5784437,0.5810611,0.57982916,0.5765336,0.571605,0.570044,0.5738732,0.5812266,0.58337283,0.5777662,0.5672975,0.5580906,0.5489518,0.5377497,0.52292204,0.50905985,0.5017262,0.5093457,0.53370017,0.5690257,0.5986061,0.6117084,0.606065,0.5931795,0.5840271,0.58888465,0.6063044,0.6269674,0.63407093,0.6197073,0.5858831,0.5436718,0.50085056,0.4655707,0.4426993,0.43692088,0.44428813,0.4625217,0.48842922,0.522319,0.5551527,0.5774757,0.5828815,0.57754,0.5705897,0.5681613,0.56964916,0.57308936,0.5795966,0.59241223,0.6118638,0.6310873,0.6394827,0.6308918,0.608468,0.5813444,0.55646443,0.5354212,0.5163324,0.4995642,0.48983166,0.495519,0.5218163,0.5633696,0.6025167,0.61857796,0.603029,0.5642429,0.5213868,0.48913217,0.47381017,0.47410643,0.4886218,0.5151202,0.5490827,0.58169836,0.6046639,0.61576647,0.619787,0.6196119,0.6114351,0.5869095,0.5473631,0.5046448,0.47520006,0.46572044,0.47298518,0.48863554,0.5059193,0.52161664,0.534296,0.54422903,0.5511163,0.5552482,0.556457,0.5553577,0.55202913,0.54730016,0.54228073,0.53976554,0.5423526,0.55264115,0.5707852,0.5929899,0.61058027,0.61328024,0.5971945,0.56810874,0.53946334,0.522681,0.52205133,0.5337325,0.5511768,0.56969,0.5893547,0.61129045,0.6334494,0.6482871,0.64910364,0.63511723,0.61289436,0.59040135,0.57292336,0.5614347,0.555121,0.55368155,0.559793,0.575736,0.59909505,0.61966544,0.6271968,0.6191913,0.6020213,0.582871,0.56304806,0.54144406,0.5190611,0.50151795,0.49326456,0.49415722,0.49879995,0.5005043,0.49707866,0.49162316,0.4912965,0.5005209,0.5204557,0.5476117,0.57547283,0.59497696,0.59949845,0.59187955,0.5831488,0.5852968,0.6006131,0.62270564,0.6401076,0.6440427,0.62989163,0.6022981,0.57131696,0.5494234,0.54124886,0.54519945,0.5545108,0.5651478,0.5760812,0.5906514,0.6104949,0.6327948,0.648855,0.6529169,0.64500874,0.631087,0.61427027,0.5963215,0.5784486,0.5652966,0.5604902,0.56606627,0.5803736,0.5989497,0.6145143,0.62121254,0.6184093,0.610605,0.6041383,0.6034923,0.6094298,0.61653394,0.61689633,0.607452,0.59613246,0.59338516,0.6021995,0.6144266,0.62228674,0.622629,0.61801696,0.61010516,0.60310286,0.5997259,0.60144454,0.6041222,0.6053264,0.6030914,0.5976929,0.5865635,0.5711382,0.5539124,0.54168504,0.5377386,0.54679006,0.5660129,0.58827806,0.59980726,0.5957541,0.5801428,0.5652583,0.55970955,0.5685272,0.5896202,0.61468816,0.62989306,0.62708384,0.6096985,0.5904842,0.5793355,0.5782204,0.58185226,0.58507806,0.5852929,0.5861607,0.5901983,0.5970669,0.5988286,0.5935671,0.58553976,0.5849324,0.59000975,0.58889836,0.5639878,0.5107737,0.44254768,0.39038393,0.38173258,0.42127752,0.48331967,0.53383213,0.55530113,0.5543234,0.5475886,0.54703635,0.5564912,0.5727181,0.5889056,0.5982768,0.60016084,0.597784,0.5948705,0.59172696,0.59044796,0.5912662,0.59381527,0.5927574,0.5879132,0.57917595,0.56974673,0.55892986,0.5512927,0.5488958,0.5516162,0.5512219,0.5447867,0.53519934,0.5317763,0.5379135,0.55352646,0.5721044,0.5874831,0.59218305,0.5873644,0.57825744,0.5735137,0.57450306,0.5819487,0.5925328,0.6038554,0.60683674,0.59818906,0.578957,0.56072146,0.5498712,0.54954493,0.55269384,0.55315065,0.5453481,0.53571945,0.53336924,0.5443478,0.5574791,0.5581789,0.53961945,0.5137858,0.49636984,0.4950467,0.50395375,0.5148918,0.52653617,0.5454624,0.57458633,0.6049195,0.6193333,0.61070204,0.5907606,0.58189625,0.5954452,0.6235744,0.64720327,0.6528249,0.64021564,0.620382,0.60702044,0.6056102,0.610529,0.6094697,0.59889024,0.58575636,0.5825422,0.59132487,0.60483694,0.61186486,0.60811573,0.59631497,0.582532,0.5715661,0.56397367,0.55818033,0.5522414,0.5475506,0.5483022,0.5595541,0.5837272,0.6162529,0.64630294,0.66050225,0.6527708,0.6272655,0.5970313,0.57559854,0.5721988,0.5861853,0.6080821,0.62336797,0.62506676,0.6174702,0.61275643,0.616829,0.62523395,0.6256811,0.61070275,0.58342034,0.55907017,0.5513418,0.56190044,0.5754199,0.574907,0.55490255,0.5257296,0.5006194,0.48475853,0.47282055,0.45652166,0.43151128,0.40005326,0.36793947,0.3405893,0.32006314,0.30658188,0.3004087,0.30286866,0.31315014,0.32705605,0.3383582,0.3436699,0.34375528,0.34180263,0.3395392,0.33658195,0.33115438,0.3220534,0.3087952,0.29247627,0.27529052,0.26071396,0.251395,0.24873771,0.25170997,0.25840035,0.26607108,0.2727858,0.27743778,0.28037813,0.28262556,0.28491437,0.28744355,0.28958875,0.29083356,0.29033998,0.28801572,0.2845603,0.28196958,0.28221297,0.285705,0.29098585,0.2955641,0.29833218,0.29958642,0.3009238,0.3029221,0.30579433,0.3088449,0.31184423,0.3136594,0.31347457,0.31096908,0.30804121,0.30722317,0.30989945,0.31436375,0.31699276,0.31505188,0.3087635,0.30109134,0.29512194,0.29263017,0.29348072,0.29713488,0.30247417,0.30862758,0.31415835,0.3186117,0.32184595,0.32479224,0.32781258,0.33080235,0.33256927,0.33200887,0.3291687,0.3256099,0.323352,0.3229997,0.32385394,0.32475403,0.32535782,0.3254037,0.3247211,0.32315066,0.32112917,0.31874368,0.31516114,0.30849913,0.29693758,0.27996492,0.25935397,0.23895353,0.22262232,0.21228111,0.20705992,0.20504117,0.20449305,0.20452869,0.20457971,0.20411737,0.20313306,0.20195049,0.20179868,0.20360012,0.20801513,0.21386848,0.21891312,0.22068028,0.21923442,0.21835168,0.2227804,0.23451348,0.2492884,0.261016,0.26487353,0.26062807,0.24973202,0.23580702,0.22511832,0.22517043,0.23940706,0.2624608,0.28386068,0.29507673,0.29524222,0.28887302,0.28176102,0.27725613,0.2763817,0.27773026,0.2795292,0.2801945,0.28026292,0.28042653,0.28151473,0.28295872,0.2842526,0.28417102,0.2812271,0.27345932,0.25961342,0.24033462,0.21884601,0.20015265,0.18843167,0.18489583,0.18897875,0.20086236,0.22251894,0.25345293,0.28802216,0.31644166,0.33115843,0.3303863,0.31732646,0.29636952,0.27109233,0.24480332,0.22180736,0.20637184,0.20089026,0.20354599,0.21061008,0.21925761,0.2301404,0.24465437,0.26171285,0.27761877,0.289389,0.29728165,0.3024709,0.30299234,0.293733,0.27081963,0.23866652,0.2092328,0.1974053,0.20997782,0.24328494,0.28395036,0.3193506,0.34189954,0.35206702,0.3529204,0.34776926,0.33767438,0.32278207,0.30258563,0.27652183,0.24491966,0.2108594,0.18150133,0.16532427,0.16667153,0.1812648,0.19926828,0.21184637,0.21664828,0.21535319,0.2106104,0.20370124,0.19713722,0.19359446,0.19470376,0.1979931,0.19944961,0.19627105,0.19064589,0.18806542,0.19492616,0.21408214,0.24449448,0.2808311,0.3161144,0.34333944,0.35856053,0.36103198,0.35142708,0.3302051,0.29871687,0.26264915,0.23028426,0.2084174,0.19760054,0.19533746,0.19855672,0.20563485,0.21385902,0.22164649,0.22953449,0.23981433,0.25146627,0.25886917,0.25555235,0.24069555,0.22156537,0.21023978,0.21488194,0.2346371,0.2587643,0.2762595,0.2812275,0.27647734,0.2671958,0.2585815,0.25271252,0.2503044,0.2506769,0.2546177,0.2634519,0.27799174,0.29394874,0.30466112,0.3044916,0.29465318,0.28068867,0.26895776,0.2621033,0.25959066,0.2598277,0.26229456,0.2674826,0.27492988,0.28256416,0.28776273,0.29000166,0.29110035,0.29367986,0.29897907,0.3065938,0.3151673,0.32314667,0.32899392,0.33196852,0.33206305,0.32952392,0.3231407,0.31100172,0.29237947,0.27022192,0.25002655,0.23699503,0.23248576,0.23410733,0.23764396,0.2405632,0.24214728,0.24231946,0.23990093,0.23398556,0.22543038,0.21698935,0.21169226,0.21146815,0.21585423,0.22136329,0.22286505,0.21825278,0.21117698,0.2092873,0.21824753,0.23847,0.26549163,0.29332125,0.31750044,0.33673403,0.35224748,0.3643876,0.37030527,0.36412573,0.34188136,0.30509648,0.26288092,0.2278427,0.21202664,0.21947932,0.24414594,0.27033195,0.28238818,0.27277723,0.24589358,0.21346664,0.18713804,0.174653,0.17675547,0.18933772,0.20336573,0.21050681,0.20620318,0.19508456,0.18939747,0.2019857,0.2360093,0.28074935,0.31967703,0.34105316,0.34381184,0.33274713,0.3138633,0.2932757,0.2790948,0.28018007,0.29990935,0.33224675,0.36276826,0.3777723,0.3711834,0.34670627,0.3123168,0.2753305,0.24063833,0.21149857,0.19103424,0.18157177,0.18579078,0.20435329,0.23477055,0.2683817,0.29387355,0.30200717,0.29160342,0.2695642,0.24759977,0.23518498,0.23532689,0.24321099,0.25135028,0.25376654,0.24937356,0.24058492,0.23355557,0.23521346,0.2508692,0.27758887,0.30584186,0.32188705,0.31860945,0.297588,0.27184185,0.25523165,0.25550443,0.26652905,0.27588618,0.27355626,0.25951824,0.2412666,0.22770393,0.22581749,0.23706758,0.25966063,0.28680727,0.3111333,0.32328582,0.31686777,0.2913026,0.2558752,0.22511588,0.20889388,0.20658582,0.20921302,0.20862973,0.20254777,0.19541322,0.19447841,0.20535724,0.22803397,0.25641468,0.28229293,0.30008915,0.309442,0.31324807,0.31472513,0.31452698,0.31091824,0.30278525,0.29282084,0.28758678,0.2921692,0.30561712,0.3208991,0.32989308,0.32821664,0.31557783,0.29503986,0.2703287,0.24650969,0.22748941,0.21686049,0.21401554,0.21554811,0.21460491,0.20862484,0.20102437,0.2009825,0.21353187,0.23561515,0.25680268,0.2674583,0.26395008,0.2512143,0.23900028,0.23638909,0.24523322,0.261361,0.27838936,0.2931751,0.3043977,0.31121337,0.31204438,0.30584118,0.29384708,0.27982727,0.27095225,0.2727107,0.28628716,0.30548272,0.3233018,0.33541283,0.34224272,0.3440428,0.33896756,0.32476732,0.302206,0.2765847,0.25381744,0.2378671,0.22868858,0.22548215,0.22685444,0.2309104,0.23255773,0.22681999,0.21203215,0.19320983,0.17775731,0.17213552,0.17853244,0.19540252,0.21653366,0.23210655,0.2333721,0.21937482,0.19971345,0.18854593,0.19455165,0.21542184,0.24039634,0.25883952,0.26472923,0.25853375,0.243972,0.22754776,0.21568482,0.21311092,0.22135286,0.23853315,0.26101992,0.28162396,0.29259452,0.28743216,0.2678945,0.24174197,0.2190202,0.20351185,0.19362934,0.18491167,0.17552812,0.16530381,0.1561345,0.1506388,0.15220304,0.16124982,0.17375761,0.18220745,0.1810993,0.17073393,0.15904129,0.15720399,0.1737339,0.20710032,0.24536711,0.2707926,0.2701358,0.24275295,0.20295368,0.1727565,0.16814882,0.18947251,0.22242236,0.2507768,0.2663505,0.27158442,0.27153936,0.26852486,0.2602458,0.2453236,0.22808625,0.21890427,0.22831793,0.2572613,0.29571962,0.3270634,0.33953598,0.32996768,0.3040831,0.2711584,0.24010105,0.2168218,0.20298894,0.19782192,0.19778436,0.19819309,0.19440305,0.1872554,0.18370028,0.19214542,0.21356817,0.24085481,0.26423758,0.27957544,0.28823704,0.29399946,0.29725686,0.2936971,0.2782694,0.25126073,0.22375743,0.20957577,0.21698743,0.23937984,0.26293123,0.2742864,0.26925412,0.25029784,0.22313833,0.19305094,0.16536705,0.14584328,0.14118177,0.15498202,0.18519942,0.22156179,0.25253826,0.27049458,0.2753546,0.26824042,0.24813618,0.21278912,0.16480833,0.11307335,0.06824661,0.03665351,0.018225364,0.009077358,0.0049913297,0.0032189798,0.0024037475,0.0019688045,0.0016808208,0.001459205,0.0012808692,0.0011345213,0.0010165228,0.0012857676,0.0034271237,0.010646005,0.026543826,0.05180016,0.08194962,0.10914355,0.1276381,0.1364152,0.13896811,0.13992785,0.14518322,0.15919025,0.18327843,0.21197265,0.23725271,0.2528201,0.26051757,0.26792088,0.28585407,0.31910905,0.3647382,0.41086712,0.44649494,0.465979,0.47267807,0.47379386,0.47570595,0.4797274,0.4804813,0.4705194,0.445848,0.4122492,0.38219848,0.36919877,0.3811461,0.4167173,0.46541524,0.51170784,0.54544276,0.5670517,0.58185536,0.59067047,0.58762544,0.57142454,0.5492712,0.53452134,0.53479666,0.5495126,0.5693136,0.58298206,0.58193994,0.56736,0.546948,0.5307502,0.5220871,0.5193729,0.5182213,0.5184217,0.5233912,0.5376784,0.5590994,0.5786114,0.58459985,0.5744484,0.5545387,0.5365147,0.52649575,0.5241325,0.52350026,0.5181899,0.50477225,0.4846063,0.46326336,0.44595578,0.43475008,0.42789826,0.4225566,0.41694054,0.41096094,0.40587094,0.40307975,0.40349904,0.40698636,0.41295958,0.42059922,0.4286351,0.43479776,0.43680182,0.4339981,0.42844716,0.42341685,0.42183313,0.42428955,0.4296061,0.43455264,0.4364371,0.4337518,0.4290048,0.42821744,0.44052133,0.47089806,0.51460695,0.557435,0.5873441,0.6039333,0.6132176,0.61727977,0.6091626,0.5859622,0.5542521,0.5296653,0.522962,0.5351419,0.555396,0.56905836,0.5653744,0.5456989,0.519731,0.49880567,0.48711786,0.4838496,0.4856163,0.49099994,0.50054514,0.51516837,0.5325456,0.54515815,0.5446606,0.52881664,0.5047819,0.48383984,0.47373927,0.47422925,0.4795382,0.48280624,0.4809884,0.4754611,0.47036576,0.46865213,0.47041702,0.4730028,0.47300443,0.46974337,0.46785668,0.47717345,0.5023198,0.5370775,0.56346726,0.5699892,0.5559768,0.5340128,0.51409924,0.50620365,0.5127452,0.5319635,0.5497577,0.5541379,0.53972936,0.51594234,0.4918252,0.47542182,0.46613184,0.46380404,0.46495807,0.47213033,0.48776957,0.5130092,0.5398163,0.5590305,0.5682283,0.57132334,0.5715987,0.5654102,0.55145055,0.53343993,0.52184004,0.5231603,0.5375865,0.5560475,0.5670088,0.56229424,0.54478055,0.5241553,0.5102578,0.5048099,0.5047555,0.5065386,0.510575,0.5192313,0.5335087,0.5498259,0.5607489,0.55938363,0.54555464,0.5261478,0.51125425,0.5062743,0.5100135,0.51502967,0.51384777,0.5024118,0.48366225,0.46369267,0.4486593,0.4401003,0.4372007,0.43743122,0.43905878,0.4400014,0.43943024,0.43810758,0.43842462,0.44219515,0.44914412,0.45782074,0.46676245,0.47493556,0.48027956,0.48024568,0.47335505,0.46135148,0.44788226,0.4367496,0.4294461,0.4265375,0.42760327,0.43253887,0.44089457,0.45399687,0.47496435,0.5058456,0.54204535,0.57290316,0.5886195,0.5892951,0.58100694,0.5699517,0.5554619,0.53801066,0.5208707,0.51230633,0.51709634,0.5347784,0.55639595,0.57003754,0.5661686,0.54622555,0.5198653,0.49950325,0.49087572,0.4935615,0.5031461,0.5162944,0.5313055,0.5468247,0.55870557,0.56047004,0.5470701,0.52072626,0.49006534,0.46579883,0.45432746,0.45675376,0.4692074,0.4858873,0.50202036,0.5177374,0.53425664,0.5515369,0.56429607,0.57161015,0.57388455,0.57526034,0.57365245,0.5711858,0.56951207,0.57274574,0.57508487,0.570553,0.55426925,0.5318511,0.5104913,0.50072265,0.5068618,0.5275922,0.5501314,0.56260467,0.55911756,0.5460449,0.5314453,0.52245086,0.5201125,0.5234136,0.5270607,0.52535254,0.5134072,0.4915767,0.46438596,0.43875632,0.42037034,0.41175666,0.41172644,0.41586146,0.41886398,0.4169962,0.41042098,0.4024345,0.3969898,0.39640316,0.40031895,0.40700915,0.41390887,0.41957155,0.42355695,0.42704484,0.43091533,0.4352497,0.43843734,0.43919897,0.43716833,0.43384087,0.4301605,0.4266703,0.42296696,0.41982737,0.41775075,0.4169285,0.41621462,0.41523948,0.4143224,0.41448346,0.41558543,0.41669238,0.41629615,0.41413355,0.41111276,0.40940997,0.4098525,0.41176572,0.4121115,0.4090682,0.4016691,0.39181462,0.3810368,0.37203944,0.36642027,0.36537012,0.36747244,0.3699975,0.37119272,0.3711536,0.3706514,0.36794445,0.36006466,0.3448744,0.32383683,0.30056593,0.27974918,0.26402012,0.2541536,0.2479984,0.24429949,0.24219824,0.24221782,0.24312072,0.2440357,0.24462628,0.24593377,0.24797605,0.25017107,0.2521123,0.25445572,0.25731838,0.26034388,0.26312247,0.26651108,0.27121362,0.27705443,0.28245422,0.28527418,0.2841151,0.27934304,0.27399585,0.2713839,0.27322254,0.2779415,0.28346696,0.28819445,0.2923213,0.29560062,0.29784682,0.29778185,0.29531875,0.29195306,0.29215094,0.29976156,0.3153894,0.3348135,0.3528473,0.3654665,0.37159768,0.371755,0.36842588,0.3639284,0.3589271,0.35155025,0.33964694,0.32275474,0.30261424,0.28197017,0.2642583,0.2516503,0.24481015,0.24155653,0.24009703,0.23906691,0.23899974,0.23996973,0.2425925,0.24650009,0.25086877,0.2535545,0.25355458,0.25116453,0.24807598,0.24530621,0.2438653,0.24413478,0.24568243,0.24629141,0.24438043,0.2404418,0.23705608,0.23602854,0.23780656,0.24140282,0.24517031,0.2466821,0.244556,0.2397002,0.23481047,0.23183997,0.23079921,0.23046577,0.22926368,0.22608273,0.22083814,0.21521355,0.21101828,0.20896572,0.20824556,0.20830144,0.2082537,0.20687948,0.2028146,0.1969689,0.19112282,0.18650925,0.18264425,0.18015312,0.17986865,0.18184191,0.18354525,0.18379606,0.1829543,0.18317574,0.18485145,0.18849778,0.19317384,0.19770788,0.19907223,0.19671728,0.19170564,0.18723078,0.18436311,0.1843348,0.18662135,0.19045836,0.19261873,0.19192202,0.18917735,0.18787165,0.18962634,0.19478221,0.20131077,0.20668943,0.20774035,0.20443736,0.20001714,0.1994788,0.20442043,0.2129956,0.22114916,0.22593947,0.22554958,0.22056241,0.21312036,0.2061038,0.20093091,0.19783466,0.19661699,0.196715,0.19696802,0.19596075,0.19372308,0.19066273,0.18748842,0.18447761,0.18315749,0.18404354,0.18631025,0.18750982,0.18726094,0.18632124,0.18635029,0.1874811,0.19025756,0.19360338,0.19592549,0.19479929,0.19123746,0.18808563,0.1890251,0.19452648,0.20335819,0.2114829,0.21520434,0.21192239,0.20401116,0.19529283,0.18898706,0.18460889,0.18196432,0.18094863,0.18184437,0.18273771,0.18310435,0.18391855,0.18804,0.1956272,0.20567627,0.21517287,0.22203434,0.22383337,0.2220704,0.2217836,0.23023157,0.24955355,0.27444527,0.29454193,0.30205294,0.29610348,0.2836559,0.27637148,0.288275,0.3285385,0.39450398,0.46840987,0.52782816,0.5614905,0.5726399,0.5733792,0.56833076,0.55936843,0.5418779,0.5176055,0.48611453,0.4559013,0.4345356,0.43046877,0.44004288,0.45253408,0.4555416,0.44348228,0.41807738,0.38399258,0.3483716,0.31824163,0.29975232,0.2933428,0.29485962,0.29757044,0.29638433,0.29014066,0.28297615,0.28263295,0.29362074,0.31186134,0.3259327,0.32672182,0.31402802,0.295032,0.27654907,0.26113507,0.24880563,0.24158704,0.24416028,0.2609969,0.29060176,0.32390046,0.34672984,0.34913456,0.3301886,0.30024317,0.27167615,0.2543575,0.24847198,0.25076762,0.25509322,0.25852296,0.2582494,0.25555065,0.25527337,0.26420596,0.28337193,0.30427766,0.31570008,0.31257758,0.30000636,0.28586417,0.27456263,0.26540217,0.25636294,0.2475502,0.24182682,0.24457812,0.25994164,0.28787127,0.32131922,0.34962592,0.36297607,0.35784113,0.33803833,0.31265995,0.29047588,0.2749323,0.26397324,0.25358698,0.24250293,0.23168169,0.22338957,0.21848495,0.21772699,0.22078197,0.22770534,0.23871326,0.2547107,0.27642563,0.30193207,0.32650042,0.34165862,0.34047583,0.3213692,0.29266277,0.26668862,0.25167564,0.24617364,0.24451984,0.24539687,0.2537934,0.2746197,0.3049513,0.3337604,0.34845436,0.34328616,0.32258967,0.29652336,0.27287307,0.25360075,0.23757313,0.22615434,0.22262757,0.22931057,0.24510038,0.2656783,0.28480658,0.294886,0.292231,0.27904943,0.26411763,0.25641778,0.2617589,0.28091896,0.31155774,0.35164306,0.3995655,0.45192274,0.49994373,0.53352666,0.5509806,0.55780524,0.56334263,0.5654402,0.5615988,0.54547346,0.5210396,0.4880134,0.45160648,0.41502503,0.3870604,0.3716042,0.36679277,0.36492017,0.3578974,0.34163728,0.31489813,0.28078482,0.24486049,0.2143973,0.19402105,0.18456577,0.18379374,0.18757425,0.19170767,0.19271298,0.190684,0.18733348,0.18548696,0.18568833,0.18834816,0.19174437,0.19426672,0.19311391,0.18881565,0.1832819,0.18050325,0.18155116,0.18640716,0.19190675,0.19540097,0.19411325,0.18920578,0.18344755,0.18097512,0.18251754,0.18714182,0.19118868,0.19255535,0.18979448,0.18520975,0.18128352,0.1803959,0.18182027,0.18459974,0.18740882,0.18931936,0.1881787,0.18339117,0.1772737,0.1750121,0.17961691,0.18971099,0.19983022,0.20468573,0.20183076,0.19308114,0.1831144,0.17648344,0.17516132,0.17799546,0.18281142,0.187477,0.1908675,0.19238305,0.19246973,0.19146465,0.18973808,0.1873924,0.18520051,0.18321429,0.18068843,0.1764254,0.17145775,0.16817977,0.16931099,0.1746458,0.18254782,0.18937193,0.19292282,0.19168957,0.18767925,0.18313585,0.18120515,0.18237221,0.18656182,0.19066067,0.19179077,0.18732911,0.17923224,0.17126735,0.16778408,0.16930288,0.17434335,0.17947005,0.18283862,0.18337733,0.18264498,0.18197395,0.18329714,0.18652725,0.19141613,0.19542885,0.19668162,0.19388753,0.18993904,0.18858902,0.19295187,0.20123453,0.2096919,0.21463124,0.21696597,0.22101577,0.23328616,0.2596571,0.3043867,0.3673574,0.43887815,0.5015735,0.53861547,0.54936624,0.5452319,0.5412481,0.5380106,0.5313095,0.51459175,0.4920794,0.46734092,0.44613135,0.4280114,0.4121609,0.39472833,0.3741025,0.3524498,0.3344922,0.3245422,0.32015443,0.31491497,0.30006307,0.27372405,0.24263151,0.22113258,0.22054309,0.24067776,0.27061346,0.29693952,0.3133253,0.31991628,0.3207974,0.31942418,0.319013,0.32087216,0.32338485,0.321206,0.30769852,0.28120747,0.24805336,0.22234108,0.2159745,0.23297817,0.26566744,0.3022416,0.3322411,0.35136303,0.35930648,0.3568864,0.3447666,0.32412246,0.2981905,0.2711179,0.24600644,0.22416097,0.20573996,0.19209613,0.1837867,0.17899346,0.17184055,0.1578347,0.13787888,0.11991841,0.11235895,0.12026397,0.14016941,0.16306497,0.17493176,0.16738415,0.14289045,0.1179683,0.112448424,0.13613766,0.18218596,0.22974445,0.2586267,0.25782582,0.23320776,0.19951995,0.173482,0.16173834,0.16170001,0.16640969,0.17330445,0.18470836,0.20195282,0.22148408,0.23565423,0.2386205,0.22770734,0.20323165,0.16746211,0.1258192,0.086693995,0.057886343,0.042606443,0.037896335,0.037523996,0.035992265,0.031171033,0.024159694,0.0172906,0.012333217,0.009799436,0.009785586,0.01298333,0.0209423,0.034974996,0.05425909,0.075668365,0.09653148,0.1200482,0.1551767,0.20969342,0.2788158,0.34534976,0.38926026,0.40202352,0.38771668,0.3594022,0.33061838,0.31423625,0.31644967,0.3358159,0.3609186,0.37749994,0.37492278,0.3564608,0.34175912,0.35645437,0.41188017,0.49265805,0.570576,0.6258078,0.6575625,0.67353445,0.6801419,0.6814452,0.6789108,0.6734037,0.6634045,0.654008,0.64949244,0.6520738,0.65249735,0.6441741,0.622814,0.5927909,0.5573184,0.52387816,0.4990956,0.4880372,0.48670635,0.48443878,0.46868873,0.43301085,0.38235363,0.3332423,0.30417275,0.304763,0.33146003,0.3777777,0.4370416,0.50383544,0.5648205,0.6117882,0.6396887,0.6546001,0.6562424,0.6503299,0.63908833,0.6310463,0.62351185,0.61811256,0.6152508,0.6224775,0.6355667,0.6458052,0.6397315,0.61247593,0.5633603,0.5007774,0.4367942,0.3842863,0.3462106,0.32032916,0.3049897,0.30566487,0.32456377,0.3555487,0.38429117,0.40178677,0.4103155,0.4238557,0.45553812,0.5086522,0.5716601,0.6290684,0.6709922,0.6975217,0.7126899,0.719703,0.72105926,0.7156113,0.7013571,0.6762438,0.6484192,0.6263972,0.61530995,0.6065865,0.5942916,0.5745011,0.5509427,0.5229861,0.4935138,0.46594802,0.4465616,0.43515393,0.42807373,0.4200174,0.4103792,0.40065572,0.3943393,0.39367878,0.40249848,0.42517206,0.466643,0.523623,0.5846942,0.63252586,0.6609358,0.6721046,0.67562455,0.67281485,0.66747516,0.66068333,0.65717435,0.6514316,0.64246345,0.6302409,0.62300867,0.6186824,0.6142659,0.6043637,0.59347075,0.5850649,0.5850639,0.59445435,0.61104494,0.6245207,0.62724346,0.6210757,0.6164953,0.61963487,0.62732005,0.63278234,0.63279504,0.6280842,0.6221537,0.6199765,0.6260829,0.6392076,0.6552202,0.6701359,0.6837738,0.69410545,0.6993415,0.6995593,0.6980122,0.69574183,0.69071627,0.6831755,0.67595536,0.6715751,0.6665175,0.65735483,0.6419253,0.62071383,0.5904612,0.5481274,0.49216235,0.428085,0.36622283,0.3221418,0.30710796,0.32058367,0.3446423,0.35662368,0.3435041,0.3150222,0.296307,0.31602928,0.38295487,0.48252413,0.5806597,0.6534851,0.69317865,0.7105088,0.7127966,0.70814115,0.7004363,0.69640785,0.69518375,0.69571495,0.6964566,0.6997512,0.7026835,0.69990855,0.6848421,0.6563382,0.6147356,0.5624254,0.50079364,0.4326097,0.36315718,0.30425632,0.27192056,0.27564833,0.30889186,0.34793273,0.36785555,0.35781407,0.33234736,0.32225215,0.35416773,0.4296131,0.52241933,0.60120106,0.64963716,0.6730299,0.68245167,0.68604994,0.68742555,0.6888032,0.69038993,0.6891775,0.6850741,0.67893934,0.6724026,0.6611173,0.64344263,0.61854994,0.5892617,0.5542692,0.51528484,0.47596934,0.44167545,0.40963385,0.37129995,0.32061374,0.26346326,0.21394198,0.18267173,0.16974,0.17132331,0.19115521,0.2433378,0.33518615,0.4541999,0.5666587,0.6458333,0.6844923,0.69782686,0.6996811,0.69970083,0.700388,0.7050388,0.7117946,0.71703047,0.7171209,0.7123906,0.70328194,0.6893917,0.670005,0.6467628,0.6241517,0.61084145,0.6139874,0.6318929,0.649585,0.6519249,0.6359152,0.6131115,0.5944806,0.58400124,0.5780508,0.5732214,0.56316537,0.54306644,0.51097864,0.47392526,0.43902585,0.4087585,0.3787005,0.34677505,0.31665158,0.2947944,0.28283384,0.27585772,0.2673351,0.25491384,0.241764,0.23311533,0.23204766,0.23740141,0.24607272,0.25570646,0.26652917,0.2774442,0.284459,0.28047383,0.26167205,0.23085539,0.19937396,0.1803867,0.18216111,0.20111047,0.22686668,0.24870872,0.2634195,0.27222684,0.27824822,0.2828991,0.2872342,0.29135713,0.2941518,0.29273564,0.28385806,0.2671764,0.24707967,0.23252408,0.23001559,0.2390794,0.2501346,0.25300083,0.24266098,0.22292571,0.20142107,0.18624823,0.1823538,0.19100077,0.20876342,0.22964656,0.24810354,0.2618856,0.27168855,0.27904233,0.28479162,0.28859589,0.28929114,0.28502527,0.27428487,0.2576948,0.23866822,0.22227935,0.21164525,0.20662344,0.20454866,0.2040448,0.2054082,0.20920616,0.21289134,0.21218945,0.20355557,0.18795125,0.17084831,0.16150461,0.1679948,0.19235098,0.22626877,0.25562868,0.2676606,0.25916275,0.23590986,0.20924051,0.188917,0.17981929,0.18005838,0.18433069,0.18769138,0.18854488,0.18659274,0.1795162,0.16273814,0.13355634,0.095763505,0.05813447,0.02917605,0.011815146,0.003879914,0.0011239159,0.00042583086,0.00028304593,0.00026159573,0.00025817697,0.00025151664,0.00023825007,0.00021897,0.00019792591,0.00019094926,0.0013983814,0.008344299,0.03033148,0.07678884,0.14677417,0.22165875,0.2709024,0.27256528,0.22852163,0.16604836,0.1189741,0.11073247,0.14168912,0.1941774,0.24232908,0.2678226,0.26746896,0.25555685,0.25715768,0.29428968,0.36997652,0.462798,0.54168344,0.5888105,0.60781294,0.61419153,0.6186388,0.62401444,0.62786895,0.62833244,0.6250522,0.6205953,0.6189706,0.622654,0.6290734,0.6323145,0.62570375,0.60733473,0.5779569,0.54172903,0.4998263,0.45471013,0.40947863,0.37514457,0.36302045,0.3793662,0.41418386,0.44840634,0.46427646,0.46242687,0.4587697,0.475166,0.51682776,0.57114714,0.61254305,0.62733096,0.61740446,0.6001343,0.5894874,0.5932887,0.60808605,0.62614256,0.6358461,0.63227963,0.6190703,0.6084735,0.6084504,0.61738795,0.62248856,0.6116224,0.58056045,0.53908974,0.50027275,0.4725311,0.45249665,0.43529642,0.41994414,0.41136315,0.411731,0.41899875,0.42880848,0.44106758,0.45920286,0.48887372,0.5301824,0.5758721,0.6115734,0.6262924,0.6203155,0.6045709,0.59260774,0.5909369,0.59955394,0.6134804,0.6278589,0.63825154,0.64325374,0.6435906,0.64195895,0.63933444,0.6342132,0.62162024,0.59727836,0.5600722,0.5135042,0.46231183,0.41101635,0.36583233,0.33660433,0.33283174,0.35511646,0.39169943,0.42378363,0.4360919,0.42536226,0.4039593,0.39692476,0.42541775,0.49242005,0.574919,0.6469621,0.691967,0.7128017,0.71336746,0.7001009,0.6792781,0.663122,0.6602712,0.67195964,0.6916291,0.70911527,0.7162884,0.7100913,0.6954954,0.6800274,0.67044705,0.66964775,0.6778725,0.6899619,0.6975925,0.69510245,0.68587977,0.67587143,0.6660297,0.65110844,0.6300424,0.6097556,0.6007407,0.6087288,0.631663,0.65985745,0.68029165,0.68231887,0.6665763,0.6425578,0.6237467,0.6164169,0.6203751,0.62894034,0.63533473,0.6346734,0.6280479,0.62055296,0.6182563,0.62256557,0.63021153,0.63291055,0.6231074,0.59615165,0.5567982,0.51459193,0.47995475,0.45562205,0.4396408,0.42831087,0.4190248,0.40630093,0.38183618,0.3400649,0.28951627,0.25298324,0.2593758,0.31928417,0.41789636,0.51645947,0.5840285,0.6095119,0.6090041,0.60253495,0.6067669,0.6233001,0.6455683,0.6597457,0.6583865,0.64348316,0.62673926,0.6172245,0.6170032,0.61906093,0.6138525,0.59319896,0.55811125,0.51748794,0.48375806,0.46255016,0.4527172,0.44939175,0.4496127,0.4510173,0.45120028,0.44755152,0.44060352,0.43584728,0.44297907,0.46982923,0.51336354,0.559019,0.58833724,0.59512305,0.5859342,0.57492995,0.5695794,0.5716216,0.5779633,0.5864926,0.5950666,0.6026514,0.60913014,0.615035,0.6199941,0.6214116,0.6150171,0.59682035,0.5656718,0.52398425,0.4766904,0.42946112,0.38863263,0.3615334,0.35424742,0.3702122,0.40721083,0.46120915,0.52116364,0.5743378,0.60466045,0.6092229,0.5927272,0.5695205,0.5474734,0.5357845,0.5365843,0.54899734,0.5613763,0.5674142,0.5681115,0.5725305,0.58177406,0.592675,0.6010954,0.6077333,0.609318,0.6012836,0.57987475,0.54981256,0.51797056,0.49627933,0.49365363,0.5137635,0.5432264,0.5634783,0.5609222,0.5400527,0.5127323,0.49353254,0.48829946,0.49782944,0.51445585,0.5335474,0.55324554,0.5733467,0.5868607,0.58343786,0.5619724,0.5333195,0.5145362,0.51312095,0.52608734,0.5440545,0.5612612,0.5780914,0.59760165,0.6186573,0.63362557,0.63462955,0.6222394,0.60458255,0.5895526,0.57740253,0.56530577,0.5524735,0.5434532,0.54319686,0.5556738,0.5783338,0.60275596,0.61410815,0.6043253,0.57670164,0.5472054,0.52904874,0.5262614,0.53189635,0.5390813,0.5462258,0.55873233,0.5796533,0.6056834,0.62653995,0.63682604,0.6377619,0.63528067,0.6289951,0.6157319,0.59421664,0.57179046,0.5575838,0.5578127,0.569403,0.58424133,0.59106046,0.58491,0.5675874,0.5483244,0.5354634,0.5332529,0.5397806,0.55003166,0.5593428,0.56628156,0.5722048,0.5793715,0.58865315,0.60089487,0.6158201,0.6308705,0.63958573,0.6362557,0.6219709,0.6044001,0.5917674,0.5855959,0.58324105,0.5824701,0.5858502,0.596909,0.6167827,0.6396902,0.6572964,0.6612933,0.65197164,0.6331668,0.6125519,0.5931135,0.5788706,0.571151,0.5723018,0.58062536,0.5947647,0.61118346,0.6264043,0.633599,0.62903076,0.61312026,0.593581,0.57727796,0.5689127,0.56793594,0.57364964,0.58351153,0.5951914,0.60394454,0.60664517,0.6018021,0.59278136,0.58421654,0.5806425,0.5835121,0.59307957,0.6079257,0.6244617,0.63629985,0.6378576,0.62779266,0.61001134,0.59142894,0.58012086,0.58139354,0.59423,0.6094749,0.6171121,0.6125478,0.6004273,0.5876644,0.58049226,0.57908386,0.58113366,0.5817552,0.5807292,0.5806249,0.58512455,0.592459,0.5975829,0.59554815,0.5827639,0.5560015,0.5123758,0.4574295,0.40457773,0.3709147,0.3617394,0.36991954,0.37960282,0.3795921,0.36784744,0.35176453,0.34311903,0.3485752,0.36498034,0.37855184,0.3767847,0.3563318,0.32658422,0.3016471,0.29237524,0.3011222,0.32213262,0.34618673,0.3648682,0.37460795,0.37569237,0.3709866,0.3631719,0.35470235,0.34721008,0.34127477,0.3361205,0.3308419,0.32587215,0.3229297,0.32304266,0.32529107,0.32741126,0.32784483,0.32572135,0.31992498,0.3089199,0.29422355,0.28181443,0.27965972,0.28963032,0.30563277,0.31621465,0.31402996,0.29851255,0.27663305,0.25642303,0.2431298,0.2354687,0.22895946,0.21990503,0.20867127,0.19757117,0.18833405,0.18102771,0.1754451,0.17157649,0.16860162,0.16347922,0.15217142,0.133166,0.11125638,0.096467875,0.09862018,0.11982167,0.15266433,0.18417244,0.20431016,0.21050765,0.20755951,0.20268327,0.20150362,0.20583117,0.21402,0.22254314,0.22814013,0.22927119,0.22620307,0.21978395,0.21060848,0.19908722,0.18644412,0.17539257,0.16927151,0.17016596,0.17681824,0.18517876,0.19098862,0.19226891,0.18885385,0.1794337,0.1614366,0.13431202,0.10432359,0.08299905,0.080567725,0.09928516,0.13242896,0.1693933,0.20030709,0.22032194,0.22907393,0.23036157,0.22846334,0.22685057,0.2272277,0.23118894,0.24063943,0.25720546,0.28005192,0.3050457,0.32563353,0.33616874,0.33454442,0.32264185,0.30386195,0.281905,0.26368114,0.26300824,0.29591036,0.36671662,0.45896038,0.5436309,0.5996249,0.6237927,0.62566876,0.61555386,0.6012995,0.5891945,0.58413506,0.587626,0.5991358,0.61470544,0.6291624,0.6335668,0.6259773,0.6097439,0.5962192,0.5914409,0.5970848,0.6082869,0.62173575,0.6356714,0.65136266,0.66696304,0.67730194,0.67404693,0.65531963,0.62663084,0.6001381,0.58363694,0.5773185,0.5696613,0.54625946,0.49680492,0.4280496,0.35792232,0.30591974,0.27596033,0.25848332,0.23892044,0.21075208,0.17646086,0.14242008,0.112534046,0.0878256,0.06895602,0.05848448,0.05894493,0.07055181,0.089170985,0.108071946,0.12080904,0.12441847,0.119907945,0.11051188,0.099371165,0.08837715,0.07835203,0.06955304,0.062364426,0.060036924,0.07254779,0.116509415,0.20441855,0.32814148,0.45706132,0.5549304,0.6074446,0.62246746,0.6173157,0.5971444,0.56098264,0.5077315,0.44789258,0.39932826,0.38426247,0.4114418,0.4699978,0.5280277,0.5595998,0.5528963,0.5196722,0.47785506,0.45336533,0.4604927,0.5005906,0.5513657,0.5932879,0.61359435,0.61785895,0.6094804,0.59815186,0.58890945,0.58899325,0.59275675,0.5954749,0.5912599,0.5845223,0.5769062,0.57437205,0.57735205,0.58542424,0.59021544,0.58802146,0.5818621,0.57951695,0.5835295,0.5903767,0.5983657,0.6072254,0.61647487,0.6207474,0.6162899,0.6021499,0.582788,0.5669763,0.56383276,0.5745645,0.5880874,0.5912578,0.5810361,0.5663719,0.55737495,0.55817074,0.56561303,0.5734779,0.5727803,0.5579446,0.5271663,0.4833058,0.42752782,0.36202183,0.29244027,0.23023455,0.18568242,0.1624325,0.15529375,0.15592533,0.15747063,0.15784706,0.15704662,0.15567623,0.15354656,0.15160717,0.15095861,0.1524877,0.1554502,0.15912719,0.16238351,0.16436744,0.1640669,0.16231151,0.16073681,0.16071011,0.16160023,0.16221265,0.16173851,0.16000803,0.15719181,0.15425743,0.15335597,0.15637882,0.16361402,0.1731716,0.18225618,0.18802239,0.18887405,0.18531214,0.1800295,0.17625463,0.17550261,0.1770037,0.17830235,0.17706622,0.17248125,0.16653036,0.16348125,0.16711442,0.17847805,0.19440763,0.20966993,0.21803421,0.21685515,0.20865113,0.20236647,0.20548117,0.21878894,0.23454551,0.24625874,0.25471807,0.26728916,0.28787667,0.3117102,0.3284423,0.3310286,0.320047,0.30141947,0.28036654,0.25949606,0.24044299,0.22729321,0.22442476,0.23292194,0.247908,0.2631545,0.2755933,0.28711835,0.30020213,0.31435302,0.32547948,0.32937297,0.32479763,0.3146044,0.30327013,0.29449806,0.2893958,0.28774175,0.288833,0.29274657,0.29918885,0.3072107,0.314392,0.31894696,0.32024473,0.31925145,0.31591883,0.30913165,0.29780194,0.2832413,0.26874468,0.25710753,0.24924295,0.24422127,0.24158204,0.24087685,0.24209581,0.24401182,0.24570143,0.24628343,0.2460783,0.24589963,0.24675097,0.24971767,0.25498894,0.26211274,0.26866782,0.27230856,0.2713155,0.2664708,0.25949228,0.2522339,0.24567688,0.2401845,0.23551829,0.23045236,0.22412634,0.22048438,0.2313896,0.27355134,0.3520887,0.45336094,0.5471444,0.61288744,0.6452394,0.65625167,0.655632,0.6542917,0.65615183,0.66363806,0.6674091,0.6613855,0.6410234,0.6148734,0.58497024,0.5554777,0.520816,0.48398355,0.44240722,0.39957353,0.35316363,0.30817574,0.26788047,0.23869872,0.22081734,0.21251483,0.20828591,0.20430745,0.19798921,0.19002567,0.18261014,0.1787395,0.17977577,0.18517964,0.19255579,0.19926429,0.20275398,0.20175557,0.19670635,0.19009696,0.18481815,0.18272722,0.1837721,0.1865535,0.18856287,0.18780088,0.18378834,0.17864668,0.17471845,0.17326264,0.17348905,0.17448579,0.17531115,0.17564867,0.1753544,0.17545395,0.17693597,0.18026066,0.18408692,0.18639721,0.18480526,0.17873208,0.17042565,0.16562468,0.16897602,0.17981493,0.19059633,0.19448493,0.19222546,0.19335783,0.20625933,0.23009257,0.25441468,0.26952025,0.27298084,0.27025676,0.2665477,0.26395667,0.26060164,0.25531372,0.24769644,0.23834665,0.22710668,0.21383543,0.19861232,0.18145674,0.16129294,0.13740928,0.112420134,0.09440533,0.09300664,0.113227814,0.15038736,0.19189526,0.22255935,0.23139365,0.21694677,0.187988,0.15949349,0.14269595,0.13987787,0.1441685,0.14729822,0.1439433,0.13327125,0.11632446,0.09505233,0.0719398,0.04996802,0.03166826,0.01830809,0.009702587,0.004795893,0.00230299,0.0011779435,0.0007158268,0.00052891247,0.00043497447,0.00036801235,0.0003087919,0.00025337716,0.00020261745,0.00015838021,0.00012233616,9.434781E-05,7.282108E-05,5.591924E-05,4.263836E-05,3.2622862E-05,2.5448882E-05,2.0496818E-05,1.7154898E-05,1.4937864E-05,1.3384397E-05,1.2086202E-05,1.0844037E-05,9.712446E-06,8.8686675E-06,8.420223E-06,8.313174E-06,8.367119E-06,8.430087E-06,8.464806E-06,8.560208E-06,8.785804E-06,9.104476E-06,9.346724E-06,9.313658E-06,8.887061E-06,8.104506E-06,7.153048E-06,6.2748713E-06,5.6352806E-06,5.2625433E-06,5.0907856E-06,5.0544463E-06,5.113188E-06,5.2099135E-06,5.266075E-06,5.2113687E-06,5.0617073E-06,4.8773654E-06,4.720831E-06,4.5600013E-06,4.3112027E-06,3.8867274E-06,3.3280521E-06,2.8006323E-06,2.539848E-06]