[0.015276279,0.015526841,0.016101612,0.016938979,0.018685369,0.023882255,0.03732158,0.06344626,0.103048,0.15104671,0.198521,0.23617487,0.25817338,0.26431462,0.2595344,0.25137094,0.24536227,0.24343653,0.24430685,0.2465816,0.24959719,0.2532797,0.25679958,0.25884393,0.2581469,0.25427917,0.24769922,0.24000354,0.23354144,0.23030251,0.23020083,0.23086393,0.22934832,0.22427766,0.21717608,0.21149506,0.21207112,0.22148617,0.23859544,0.25621226,0.2667813,0.26612714,0.25747558,0.24655743,0.23828387,0.23363835,0.2318991,0.23181288,0.23266657,0.23366748,0.23401064,0.2330488,0.2308877,0.22835195,0.22658645,0.22621427,0.2270252,0.22810982,0.22831327,0.22666208,0.22249323,0.21610786,0.20867878,0.20246033,0.19932358,0.20046294,0.20493187,0.21030426,0.21216951,0.20666279,0.19266759,0.17517562,0.1640201,0.16784616,0.18716758,0.21245758,0.23186351,0.23951246,0.23865826,0.23608102,0.2354546,0.23608108,0.23549913,0.2334953,0.23168112,0.23193042,0.23448326,0.2383606,0.24273328,0.24701877,0.2505691,0.25209376,0.25083187,0.24730434,0.24312675,0.239753,0.23748595,0.23576875,0.2338321,0.23150235,0.22904766,0.22700779,0.22572632,0.22558104,0.22669391,0.22873075,0.23016244,0.22889613,0.2236083,0.21559651,0.20853513,0.20606977,0.20868796,0.21291041,0.2136964,0.20771164,0.19497645,0.1779943,0.1602127,0.14481133,0.13410296,0.12961234,0.13222021,0.14282113,0.16092706,0.1842674,0.20779468,0.22678705,0.2377712,0.24044673,0.23550117,0.22505558,0.21166767,0.1989764,0.18966503,0.18432724,0.18108553,0.17722501,0.1711139,0.16264991,0.1532145,0.14420575,0.13706373,0.13263166,0.1320782,0.13579465,0.1432511,0.15258634,0.16242892,0.17230453,0.18147142,0.18790595,0.18984525,0.18939167,0.19134669,0.1986,0.20837522,0.21559219,0.21926384,0.22319728,0.2318532,0.24445377,0.25694904,0.26538035,0.26989305,0.27258316,0.2753109,0.2776003,0.27790856,0.27513102,0.2696919,0.26312974,0.2571377,0.25238547,0.24840117,0.24382566,0.23814027,0.23193789,0.22700341,0.22464295,0.22498041,0.22683282,0.22845532,0.2290812,0.22944075,0.23099953,0.23335157,0.23325248,0.22745462,0.21680959,0.20727886,0.20555176,0.21367578,0.22757213,0.24015452,0.2466104,0.2468822,0.24444489,0.24213998,0.23980391,0.23545684,0.22924733,0.22438703,0.22515666,0.23171927,0.2403891,0.24556981,0.24507332,0.23935993,0.23059736,0.21988167,0.20817061,0.19659907,0.18708454,0.18249273,0.18577802,0.19856185,0.21833815,0.23937653,0.25524104,0.26289758,0.2630657,0.2589539,0.25343868,0.24804173,0.2424574,0.23601373,0.22834778,0.22046131,0.21368968,0.20934546,0.20767538,0.20817511,0.20964414,0.2110277,0.21196182,0.21294723,0.21462178,0.21708028,0.21990627,0.22289564,0.22598551,0.22859,0.22891182,0.22510894,0.21684732,0.20632523,0.19700734,0.1919331,0.19226174,0.19717379,0.20444255,0.21156968,0.21726142,0.22142486,0.2243555,0.22465287,0.21994166,0.20821835,0.19029945,0.16948245,0.15047956,0.13770498,0.13360548,0.13791716,0.1470557,0.15655948,0.16229242,0.16205074,0.15510201,0.14391543,0.13547562,0.1384298,0.15707086,0.18544483,0.21218471,0.22804137,0.23323394,0.23336406,0.23444189,0.238164,0.24398334,0.2504742,0.25650227,0.26020432,0.2596128,0.25357962,0.24337612,0.23197114,0.22354276,0.22089273,0.22509652,0.2334586,0.24180286,0.24555199,0.24298911,0.23420481,0.22097422,0.20633936,0.19567572,0.19466466,0.20517851,0.22252168,0.23873138,0.24783187,0.24934644,0.24580212,0.24064605,0.23624258,0.23417693,0.23363306,0.23165663,0.22517622,0.21413527,0.205164,0.21017009,0.24488766,0.312435,0.39761996,0.4632667,0.4810486,0.4458193,0.38409528,0.32745275,0.3001335,0.31120798,0.35714486,0.41919878,0.46619847,0.4726882,0.43601337,0.3773549,0.3251556,0.29946196,0.3108064,0.3561193,0.41748992,0.4620293,0.46409896,0.42178014,0.35706377,0.29858467,0.2672261,0.27655447,0.324121,0.3902204,0.4373238,0.44105175,0.40353024,0.35340634,0.31798947,0.3117056,0.33714592,0.38822567,0.4481806,0.48754635,0.48300675,0.4331121,0.36066735,0.2947735,0.25616106,0.25632566,0.2958248,0.36155686,0.4236611,0.4529923,0.43960842,0.3979217,0.35187533,0.3199165,0.31345,0.33696997,0.3828324,0.42769158,0.44371867,0.42130443,0.37336728,0.32579717,0.29777008,0.3007003,0.33569315,0.39132842,0.4417502,0.4589176,0.43480864,0.3833004,0.33082533,0.29630724,0.29209778,0.32178488,0.37717223,0.4336268,0.45987764,0.4419736,0.38898396,0.32657838,0.27708706,0.2581654,0.279132,0.33406666,0.3964856,0.42930356,0.41463745,0.36168766,0.30078372,0.25825533,0.2518954,0.2862326,0.34915972,0.41079032,0.43509233,0.4086788,0.34552106,0.27886832,0.23471993,0.228548,0.26371703,0.32933787,0.3976482,0.43200645,0.41675046,0.36530206,0.31305075,0.28729796,0.29888543,0.3432367,0.40425846,0.45778212,0.47625044,0.45086136,0.3938272,0.33458284,0.29655516,0.29343292,0.32577792,0.38094282,0.43354514,0.4538709,0.43109354,0.37626186,0.31765273,0.27842143,0.27395892,0.30717793,0.36667153,0.4257489,0.45259473,0.43470904,0.38244268,0.32232746,0.2757439,0.2579284,0.2777687,0.33260736,0.40237808,0.451936,0.4587177,0.42282557,0.368202,0.31997725,0.29877707,0.31443977,0.36281672,0.4228156,0.46478406,0.47321332,0.45309082,0.42548993,0.40820572,0.4122579,0.43922174,0.48087808,0.5196402,0.5344486,0.51886517,0.48133168,0.4429916,0.4191505,0.41990945,0.44523048,0.48717296,0.527158,0.54456776,0.53081506,0.4937354,0.45213822,0.4213409,0.4105084,0.42277774,0.45443586,0.49293098,0.51778966,0.5161983,0.48808083,0.44793805,0.41174886,0.3938198,0.40340757,0.43962666,0.48866263,0.52514136,0.5321528,0.5087369,0.4718262,0.44009283,0.4277296,0.44106445,0.47518873,0.51436496,0.534537,0.52387506,0.48681024,0.44353974,0.41126052,0.40086043,0.41524693,0.44842649,0.48475838,0.5019016,0.49045587,0.45762703,0.4244735,0.40612283,0.40884995,0.4314604,0.46767512,0.5045528,0.5230435,0.5125398,0.47731674,0.4343563,0.3993913,0.3818481,0.3883921,0.42091814,0.47233972,0.52108574,0.5459548,0.53909284,0.51228434,0.4835837,0.46432588,0.45479342,0.4487573,0.4403143,0.4262706,0.40768752,0.38858294,0.37384632,0.3660264,0.36394075,0.36423418,0.3638269,0.361438,0.35734856,0.35256067,0.3483186,0.34548703,0.34431878,0.3446871,0.34658933,0.35046074,0.35608387,0.3621299,0.36574987,0.36439362,0.357077,0.34631288,0.33722177,0.3361938,0.3461876,0.36501625,0.38465396,0.39758456,0.40022683,0.3959334,0.38985455,0.3863399,0.38515234,0.38366938,0.3778238,0.36629543,0.35146725,0.33960524,0.33598956,0.34146467,0.3511914,0.3589767,0.36078072,0.35646644,0.347429,0.33600083,0.3249912,0.3183205,0.31834054,0.32401636,0.33078337,0.33355904,0.32945243,0.31835696,0.3026633,0.286396,0.2747234,0.27414227,0.2912523,0.3319662,0.39277744,0.4587537,0.5047233,0.51441246,0.48946205,0.44928303,0.4129714,0.3888406,0.37427393,0.36401796,0.3558936,0.35054317,0.34929538,0.35167742,0.3552802,0.35681477,0.3544216,0.34847406,0.34127605,0.3350576,0.33113503,0.3290554,0.3273442,0.32363495,0.3157512,0.30228713,0.28357887,0.26203558,0.24179097,0.22777629,0.22341202,0.22871655,0.23906136,0.24747072,0.24800505,0.23925857,0.22422819,0.20816003,0.1951166,0.18654455,0.18148224,0.17824982,0.1756797,0.17354076,0.17223878,0.17221741,0.17358883,0.17589706,0.17823571,0.17942126,0.17877835,0.17716533,0.17826575,0.18719292,0.20777297,0.23805301,0.27082682,0.2965844,0.31005156,0.3117509,0.30659172,0.2991487,0.2918185,0.28575215,0.28261486,0.28477034,0.29312256,0.30605373,0.3191515,0.327257,0.32544994,0.3128266,0.29335678,0.27585146,0.26640692,0.26487812,0.26589635,0.26664022,0.26967135,0.2788975,0.2946459,0.31317064,0.33085003,0.34580132,0.35686886,0.36212477,0.3593308,0.34779343,0.3288336,0.30566183,0.28183016,0.26089257,0.24509709,0.23562735,0.23144896,0.23098902,0.23221684,0.23457538,0.23725426,0.23944128,0.23869438,0.23260534,0.21870822,0.19705169,0.17156863,0.15101391,0.1458833,0.16035227,0.18866076,0.21551724,0.22984928,0.23000975,0.22612183,0.22608398,0.23199517,0.23802133,0.23955625,0.23419754,0.22274852,0.20598875,0.18476914,0.15985897,0.1324795,0.10750245,0.096333526,0.117443144,0.18327181,0.28529486,0.39034927,0.46302631,0.49325702,0.49956575,0.5060653,0.5173551,0.5219075,0.50923496,0.48151422,0.44926035,0.42395172,0.4162291,0.42978957,0.45702848,0.47997472,0.4866859,0.48208597,0.4788159,0.48213646,0.4817902,0.47189283,0.45539176,0.4445759,0.44098273,0.43922225,0.430642,0.41254935,0.38672626,0.36053503,0.34737742,0.35777745,0.38854444,0.4213855,0.43971404,0.44433334,0.44614244,0.45250747,0.45737728,0.45972285,0.46470198,0.47981176,0.4958149,0.4972795,0.47707006,0.445024,0.41596928,0.3987926,0.39687285,0.41068125,0.43422416,0.45531464,0.46343353,0.46422446,0.4682971,0.4814253,0.49015275,0.48458567,0.46200895,0.43490896,0.4096065,0.38986287,0.37426817,0.36523616,0.36343578,0.36796346,0.3761684,0.3845525,0.3893182,0.38794458,0.3852043,0.39262402,0.41692734,0.45088932,0.4751275,0.48015833,0.47209525,0.4655697,0.4632475,0.45686674,0.4406669,0.41824102,0.3993406,0.38838243,0.38959453,0.40482572,0.43217024,0.45987403,0.4746952,0.47611797,0.47254834,0.47251666,0.47045168,0.4624213,0.45076168,0.44543397,0.44733122,0.44785357,0.44021472,0.42433906,0.40699944,0.39103124,0.38233915,0.38621807,0.40464175,0.4285868,0.44496262,0.45255315,0.45914534,0.47265258,0.48575583,0.49022666,0.48689044,0.48547164,0.48975286,0.48985562,0.47898054,0.4577119,0.437748,0.42421415,0.42132282,0.429854,0.44940886,0.4728347,0.48961675,0.4985005,0.503647,0.5101498,0.5103968,0.49738526,0.46989682,0.4383253,0.4118973,0.39530265,0.38938227,0.39385927,0.40832165,0.4273279,0.44632086,0.4588056,0.46355584,0.45958003,0.4531887,0.45274106,0.46482682,0.48434576,0.49559423,0.48439637,0.44947395,0.40357673,0.3626918,0.33682516,0.32930112,0.33704206,0.35343078,0.3671026,0.37035084,0.3605322,0.3427845,0.3235289,0.31138673,0.3153508,0.34092918,0.38200808,0.41981164,0.43455696,0.41938496,0.38313186,0.34232607,0.30983093,0.29377198,0.29406467,0.30518964,0.31429338,0.31351027,0.3033634,0.29526147,0.29958922,0.3216438,0.36003938,0.40835652,0.45422792,0.48074424,0.47646928,0.4435673,0.39674807,0.35302994,0.32316455,0.3122164,0.31842437,0.33474198,0.34792522,0.34940067,0.33876467,0.32476604,0.31584933,0.3189657,0.33902943,0.37769505,0.4259038,0.46547917,0.4805436,0.47331944,0.45794415,0.4480233,0.44172826,0.43356657,0.42019272,0.40748712,0.40035543,0.40374383,0.42036435,0.44892153,0.4804255,0.5008208,0.5053641,0.499599,0.49341607,0.48506632,0.4653647,0.4272901,0.37532055,0.32237005,0.28335264,0.27119315,0.29014245,0.33168873,0.37492108,0.39968538,0.39706528,0.37343916,0.343927,0.3264651,0.33542144,0.3741982,0.42909002,0.4738462,0.48474178,0.45747638,0.4054874,0.3506318,0.30739754,0.28458574,0.2819326,0.29471493,0.3100525,0.31744346,0.31129885,0.2943413,0.27065042,0.24789958,0.23874795,0.25844774,0.30863956,0.36961532,0.40818715,0.40484235,0.3631265,0.30628067,0.25671095,0.23244469,0.2400043,0.2754747,0.31931973,0.34961322,0.35394025,0.33925033,0.32206932,0.31794927,0.33352828,0.36806908,0.4123273,0.45232084,0.47372517,0.47681394,0.471426,0.47052765,0.4713169,0.46640947,0.44944847,0.4257182,0.40174332,0.3844266,0.38012958,0.39266875,0.4174305,0.43988886,0.44982728,0.4496174,0.44984818,0.4540296,0.45338392,0.4385792,0.40823802,0.3719171,0.33960626,0.31982318,0.31498656,0.3232106,0.33647588,0.34649995,0.34863198,0.34419104,0.3375111,0.3344376,0.34234992,0.36789766,0.4092072,0.4527597,0.4779284,0.4735904,0.44219872,0.39809945,0.3537325,0.31925178,0.3004202,0.2998879,0.31198552,0.3262584,0.33460927,0.33727512,0.33896336,0.344268,0.35634172,0.37993398,0.4148133,0.45198146,0.47267604,0.46531722,0.43163705,0.38747945,0.34798717,0.32302275,0.3142948,0.31839824,0.32737872,0.33285987,0.3307338,0.32323495,0.3153851,0.3125898,0.31966743,0.34313145,0.38286293,0.42964733,0.4650017,0.48037004,0.4802861,0.4778615,0.47662425,0.47108212,0.45665908,0.43625426,0.41790685,0.40582407,0.40300596,0.4096335,0.42273054,0.43429282,0.4380093,0.43852666,0.4439884,0.4567832,0.4633497,0.4506277,0.41546384,0.37113237,0.3331881,0.3129035,0.31309983,0.32973734,0.353194,0.37071824,0.37488905,0.36542237,0.34897006,0.33289793,0.3256818,0.33662924,0.36817488,0.40977523,0.43650386,0.43031928,0.39017293,0.3345674,0.28218564,0.24595813,0.23208088,0.2435419,0.27559632,0.31337973,0.3411797,0.35257003,0.35456166,0.3588021,0.3742998,0.40410188,0.44303164,0.47942266,0.49687216,0.48778853,0.45591906,0.4158806,0.380035,0.35522664,0.34349513,0.3437316,0.35231805,0.3604637,0.36201808,0.3541915,0.3405937,0.325248,0.3151424,0.3204056,0.34789968,0.39277318,0.43423995,0.45421228,0.4479544,0.42874673,0.40959302,0.39648807,0.38777915,0.38147128,0.37829497,0.37729976,0.37807158,0.3768719,0.37330413,0.36703476,0.36372468,0.37105396,0.3952423,0.43314704,0.4709505,0.4953015,0.5029354,0.5018629,0.4995432,0.49469352,0.4834236,0.46460083,0.44524968,0.43070057,0.4271759,0.4358095,0.45575643,0.4781277,0.49403453,0.5005205,0.5022035,0.5028253,0.49909952,0.48716283,0.47073722,0.45829865,0.4542905,0.45229205,0.4464424,0.43507287,0.42461216,0.41901875,0.4212552,0.43173108,0.44846,0.46551415,0.47425058,0.47384128,0.46897423,0.46690595,0.46649528,0.46467257,0.46147975,0.4611388,0.46522537,0.46792173,0.46408436,0.45171952,0.43502,0.4171832,0.40384603,0.40083396,0.41194806,0.43234703,0.45083293,0.4605488,0.46250644,0.46120512,0.45532897,0.44145072,0.42263746,0.40809298,0.4056374,0.41185346,0.41954818,0.42311156,0.42429075,0.42522737,0.42640758,0.4260615,0.42328465,0.41953483,0.4176135,0.4216948,0.43389896,0.45210275,0.4694135,0.47941303,0.4825151,0.4822204,0.48108026,0.47445357,0.46064162,0.4404627,0.4204177,0.40247598,0.3898274,0.3860561,0.39612874,0.41736034,0.43921208,0.4520085,0.4542403,0.45056954,0.4435235,0.4328953,0.42302415,0.4211637,0.43207178,0.4481618,0.4591463,0.45696044,0.44315264,0.42211685,0.40246952,0.3938887,0.40310243,0.4265586,0.45085397,0.46526268,0.46888128,0.46858832,0.46772408,0.46480873,0.46037367,0.45850536,0.46271953,0.4675775,0.46659768,0.45694908,0.44400224,0.43286395,0.4270798,0.42843318,0.43711913,0.44947436,0.45869365,0.46308196,0.46845248,0.47970197,0.4927617,0.4956485,0.48638213,0.4719162,0.463721,0.45946684,0.45377362,0.4426291,0.43239358,0.4278905,0.43132773,0.44128785,0.4559462,0.47009805,0.47473118,0.46437228,0.44152108,0.41616118,0.39642993,0.38696373,0.38947412,0.4034785,0.42271557,0.4366305,0.43922648,0.43602863,0.4363495,0.44314155,0.44696462,0.4401224,0.4207212,0.39602885,0.37163568,0.35489717,0.3528361,0.36866367,0.3953593,0.41793898,0.42945004,0.43181717,0.4318378,0.4273351,0.4157143,0.40037575,0.39107704,0.39335203,0.40329242,0.41714892,0.43368137,0.45324942,0.4693545,0.47481146,0.46807602,0.45423523,0.43984783,0.42787662,0.4225866,0.42636883,0.43823263,0.4496934,0.45413613,0.4533836,0.4540032,0.45880923,0.46040186,0.45228565,0.4309868,0.40041384,0.36455882,0.33398107,0.3231114,0.34245837,0.386086,0.43184686,0.46080092,0.46810794,0.46288168,0.45216906,0.43770257,0.42015824,0.40245226,0.38752702,0.3743608,0.36534706,0.3685259,0.39250842,0.4351728,0.48112324,0.51440835,0.5249408,0.51385343,0.48317352,0.4399471,0.3920025,0.3515859,0.3260176,0.31665173,0.3182458,0.32484356,0.3324091,0.33960417,0.34607968,0.35245195,0.35867867,0.3649973,0.3703709,0.37464845,0.37706992,0.377593,0.37579575,0.3726147,0.36931106,0.366635,0.36365214,0.3588779,0.35214934,0.344902,0.33882368,0.33430338,0.3306748,0.3274833,0.32471165,0.32330546,0.3247393,0.33225152,0.3467151,0.36602768,0.38462773,0.40205327,0.422286,0.44735137,0.47026148,0.4803529,0.47987118,0.47994855,0.48997125,0.4990512,0.49252263,0.4639132,0.42486525,0.38974595,0.37048873,0.37560347,0.4083558,0.45918012,0.50469846,0.5264979,0.5255746,0.5160983,0.50597674,0.48827198,0.4594662,0.4263327,0.4059123,0.40180174,0.4079592,0.40978026,0.4034432,0.3917476,0.38560185,0.39286867,0.4151449,0.44525036,0.4701896,0.48076013,0.47478428,0.45955816,0.44452727,0.43837258,0.44567683,0.4651098,0.48894358,0.50467557,0.5041775,0.48858953,0.4683025,0.4541801,0.45159984,0.46071514,0.47788247,0.49719957,0.5088375,0.505785,0.48886088,0.4687439,0.45651805,0.45647243,0.46434996,0.47350326,0.47791412,0.47431377,0.4608418,0.4397954,0.4159076,0.39645895,0.38729355,0.39269495,0.41133037,0.43548226,0.45233437,0.45249307,0.43637225,0.41321066,0.3939475,0.3849795,0.38834402,0.40193972,0.41989216,0.43372408,0.43780336,0.43360767,0.42667636,0.42144176,0.41895363,0.4203711,0.4275563,0.43846533,0.44647744,0.44388473,0.43178406,0.41592917,0.4029664,0.39335263,0.38879004,0.39296293,0.40802065,0.42831802,0.44235933,0.44499037,0.43815812,0.42972645,0.42336082,0.42315522,0.4312438,0.44726387,0.46321228,0.46826592,0.4585433,0.43861333,0.41835716,0.40376535,0.39882624,0.40487203,0.4204434,0.43873775,0.44985628,0.4494497,0.44016424,0.43140015,0.43056595,0.44183388,0.4630097,0.4872837,0.50605816,0.5133683,0.51124173,0.50562096,0.5035834,0.50657886,0.5128455,0.5184044,0.51953185,0.5144491,0.50230163,0.4864041,0.470323,0.45960274,0.45639333,0.46137118,0.47197965,0.48312852,0.48846748,0.48117515,0.4604912,0.42937756,0.3965815,0.37006518,0.35859874,0.36540964,0.38614082,0.4078119,0.41665018,0.4075937,0.38506284,0.3597257,0.34138438,0.3399638,0.3612645,0.40311193,0.45116723,0.4864509,0.49812546,0.48859897,0.46920314,0.44983253,0.4373854,0.43582478,0.44541577,0.46041742,0.46970153,0.46669766,0.45126256,0.4310162,0.41228545,0.4019685,0.40447685,0.42046425,0.441987,0.4553806,0.45268604,0.43655863,0.4188881,0.4091066,0.41110718,0.42302725,0.44017348,0.45604178,0.46350408,0.45983553,0.4469713,0.43125048,0.4188186,0.41568172,0.4254621,0.4460218,0.4675844,0.47626433,0.46570638,0.44106355,0.41680875,0.4043652,0.4076488,0.4224557,0.44136944,0.45602474,0.45983282,0.45087433,0.43259832,0.4114891,0.39409205,0.38600016,0.39199588,0.41094366,0.43421355,0.44670072,0.44043866,0.41816914,0.3932651,0.37658462,0.3742579,0.3864737,0.41069224,0.4398178,0.462945,0.4709806,0.46189332,0.44205403,0.4218994,0.41130427,0.41700134,0.4379216,0.46502158,0.48306766,0.48248148,0.46429124,0.43946567,0.41953313,0.4116472,0.41876778,0.43823135,0.4621829,0.47799933,0.47819605,0.46355903,0.44240046,0.42281565,0.4108888,0.41120967,0.42472932,0.44562566,0.46026924,0.45716023,0.4342657,0.40146986,0.37297693,0.36060905,0.37062928,0.40012577,0.43826112,0.46837878,0.48023805,0.47287288,0.4544804,0.43356013,0.41801405,0.4141287,0.42342684,0.43908784,0.44720802,0.4398477,0.42029858,0.40144512,0.39277276,0.39686874,0.41102722,0.43067405,0.4490122,0.4565353,0.44808283,0.42700243,0.4046017,0.39078698,0.38957396,0.399465,0.4161327,0.43324688,0.4428521,0.44063702,0.4280471,0.4118041,0.39857706,0.39457926,0.40513733,0.43041873,0.4611927,0.48046815,0.47766912,0.45621017,0.4315201,0.4171779,0.41774023,0.42952713,0.44540003,0.45848393,0.46316716,0.4581454,0.4460703,0.43214384,0.42043123,0.41299257,0.41050243,0.4117107,0.41485575,0.41659388,0.4163309,0.4137561,0.4115964,0.4116474,0.41728142,0.43030512,0.44918665,0.4672641,0.47535586,0.47074258,0.45909438,0.4499189,0.44670153,0.44646814,0.4485834,0.45763257,0.47868475,0.50777584,0.5358128,0.5567526,0.5700698,0.5762024,0.5703916,0.54937714,0.51317686,0.46997178,0.42955235,0.40507957,0.40562177,0.43240598,0.47344851,0.511797,0.5369368,0.5494278,0.5546971,0.55535364,0.5519977,0.54826164,0.5482083,0.55258536,0.5550354,0.55214375,0.54513675,0.5402807,0.5388871,0.5382128,0.53472537,0.52894706,0.5245133,0.52465034,0.53187555,0.5460674,0.5636931,0.5770162,0.5799783,0.5732269,0.56247276,0.551508,0.5380666,0.51946646,0.49626765,0.47285676,0.4519222,0.4358983,0.4275966,0.4290162,0.43672207,0.44204855,0.439713,0.43126622,0.42388597,0.41966185,0.41576526,0.40662488,0.3917589,0.37555087,0.36516663,0.36742282,0.38395432,0.41016194,0.43529737,0.45125198,0.45851925,0.46397758,0.4732208,0.48262954,0.48536,0.47528505,0.45302364,0.42399833,0.3990452,0.39101955,0.40540984,0.43576875,0.4660437,0.48674724,0.49904636,0.5092091,0.5175938,0.51894176,0.513597,0.5052816,0.4982244,0.48653433,0.4674411,0.44255045,0.42111024,0.40711308,0.40220246,0.4077311,0.4268204,0.45731413,0.48948264,0.5132601,0.5255789,0.5290639,0.5264465,0.51815265,0.50886035,0.50426084,0.5075607,0.51165795,0.50795645,0.49132085,0.46471557,0.4343007,0.40943778,0.40085617,0.41533098,0.4479625,0.4829104,0.5054889,0.51332337,0.51363015,0.5138094,0.51389647,0.51418597,0.5154938,0.51975054,0.5208983,0.5121342,0.49035028,0.46195748,0.43712077,0.42556712,0.4330066,0.45728374,0.48778868,0.509409,0.51409507,0.5057011,0.49367097,0.48355272,0.47386238,0.4663243,0.46596113,0.47654018,0.49025783,0.49518684,0.4861238,0.46891487,0.45407033,0.44775018,0.4523549,0.46542153,0.4811971,0.49168193,0.49394432,0.4940542,0.49980378,0.5128544,0.52518725,0.5308835,0.529888,0.52645254,0.5201623,0.50729865,0.48759636,0.46615127,0.45027807,0.44322097,0.4460548,0.45826373,0.47724596,0.4976674,0.5133936,0.52436805,0.5326612,0.54097295,0.54566455,0.54510814,0.5395987,0.5328012,0.52399486,0.5089975,0.4849877,0.45372388,0.42214242,0.39709127,0.38619545,0.39315748,0.41521594,0.44096324,0.45788482,0.46298608,0.4614053,0.45987287,0.4566785,0.44899058,0.43606946,0.42300746,0.41253707,0.40522227,0.39947042,0.3944156,0.38912335,0.38295808,0.37808052,0.3771484,0.38133708,0.38771036,0.39450622,0.40461326,0.42198324,0.44570434,0.4652317,0.47057116,0.458438,0.43662414,0.41524252,0.40029177,0.39237928,0.38752082,0.38331723,0.3775924,0.37368104,0.37376714,0.37965712,0.38682127,0.39151958,0.39144108,0.38877437,0.3864607,0.38888243,0.40122104,0.42580524,0.4565154,0.48079178,0.4893323,0.4864173,0.48330438,0.48769233,0.4943525,0.49484012,0.48430073,0.46560717,0.44339395,0.42371902,0.41383553,0.41852763,0.43451357,0.44942257,0.4529253,0.4432628,0.42839828,0.41575256,0.40970552,0.40957153,0.41290104,0.41483963,0.41323683,0.41160026,0.4183589,0.43675458,0.4599043,0.47384718,0.47131348,0.45476353,0.43401226,0.4156145,0.40426627,0.40362012,0.41672933,0.4406356,0.46486297,0.4796933,0.48150194,0.47621652,0.46993315,0.46666375,0.46380755,0.45802703,0.44733647,0.43552592,0.43010643,0.4353225,0.44787642,0.45601714,0.45088613,0.43088064,0.4042864,0.38084885,0.36952004,0.37534797,0.39862084,0.4322789,0.46395358,0.4833996,0.48789427,0.48225522,0.4736009,0.46847904,0.47155103,0.48402014,0.5012061,0.5140827,0.5146263,0.50160784,0.47957614,0.45590857,0.43664965,0.4267472,0.42745745,0.43509862,0.44121397,0.4386351,0.42721283,0.41366026,0.4066154,0.41078243,0.42629358,0.44899166,0.47168413,0.48605156,0.48621133,0.473803,0.455487,0.44062877,0.4340386,0.43870965,0.45335355,0.47473666,0.4942328,0.50269,0.4948198,0.47324833,0.4468393,0.426051,0.41947475,0.4292699,0.4491904,0.46662533,0.4704115,0.45852712,0.4371911,0.41698185,0.40559173,0.40782228,0.42152703,0.4409349,0.45728397,0.46687472,0.47042218,0.47265133,0.47662067,0.4833205,0.49107206,0.49735403,0.49932778,0.49567476,0.48626077,0.47308633,0.4583402,0.44525155,0.4369801,0.4370811,0.4477354,0.46598795,0.4843651,0.49260178,0.487154,0.47070494,0.45213398,0.4384332,0.43498233,0.4434228,0.46079838,0.47962824,0.48965096,0.48620474,0.47018644,0.45011127,0.43549833,0.43475938,0.44925043,0.47088873,0.48717725,0.48782945,0.47456345,0.45578754,0.44250715,0.4397191,0.4490815,0.46898755,0.49315524,0.5113563,0.5122496,0.4952308,0.46732482,0.44149673,0.42406103,0.41836193,0.42182243,0.43045902,0.43604603,0.4328505,0.4206756,0.40698507,0.4003817,0.4053283,0.4196492,0.43680727,0.44928244,0.45194873,0.44513556,0.43419167,0.42490247,0.41894093,0.41347793,0.4072962,0.40204707,0.4015411,0.40561876,0.41167772,0.4158598,0.41654912,0.41437924,0.41253063,0.41644964,0.43055215,0.4542025,0.4805986,0.5002994,0.5079939,0.5028271,0.48902997,0.47265735,0.46223888,0.46304277,0.47231653,0.48011485,0.4768919,0.46333066,0.44700816,0.43672156,0.434703,0.43990937,0.45093477,0.4660705,0.48153245,0.48918006,0.48334292,0.4624772,0.43323353,0.40500912,0.3884209,0.38992873,0.4082304,0.433512,0.45130646,0.45358217,0.4418877,0.4261434,0.41536352,0.4148219,0.42582095,0.44540715,0.46652398,0.47830343,0.47457647,0.45616302,0.43156302,0.40929595,0.3960552,0.39521584,0.406243,0.42340443,0.43598032,0.43573427,0.42075303,0.39799345,0.37748137,0.36953506,0.3813192,0.41273007,0.45458445,0.48918095,0.50316805,0.49268925,0.46679792,0.43723857,0.4155786,0.4088812,0.41814038,0.43654826,0.45217052,0.4582888,0.45594278,0.452153,0.45109484,0.45472476,0.46446887,0.48139396,0.50264305,0.5198934,0.5257945,0.51761895,0.49945918,0.47777703,0.46002686,0.45226946,0.45600772,0.46662173,0.47387263,0.47013918,0.45420274,0.43290356,0.41510665,0.40788183,0.41436377,0.43222263,0.45433524,0.4699887,0.47221065,0.46111223,0.44371966,0.42829016,0.4206361,0.4241234,0.4380844,0.4574821,0.4724326,0.47582802,0.46778575,0.4565084,0.4505855,0.45394862,0.46503583,0.47996044,0.494311,0.5034842,0.5030007,0.49077585,0.46785095,0.439698,0.41388592,0.39871153,0.39749667,0.40662864,0.41613433,0.4171832,0.40757513,0.3925449,0.380438,0.37851027,0.390964,0.4167776,0.44822946,0.47365153,0.48429337,0.4804766,0.4688468,0.4568281,0.4480784,0.44471133,0.44759777,0.45532644,0.46287167,0.46552372,0.4635453,0.46176246,0.46524236,0.4751974,0.4909524,0.5102063,0.52913314,0.54041654,0.5380953,0.52187353,0.4984441,0.47615394,0.46087882,0.45499635,0.45852923,0.46770835,0.47628382,0.4780307,0.47360697,0.4677579,0.4669241,0.4721361,0.48294774,0.4970107,0.5116282,0.5212379,0.51950043,0.5048178,0.4806991,0.45607802,0.43856314,0.4340265,0.44198766,0.4559505,0.46539786,0.46216476,0.44714034,0.42784807,0.4143337,0.41206852,0.4226736,0.44301736,0.46567562,0.4808197,0.4812316,0.46891412,0.45073548,0.43437243,0.42162934,0.41444215,0.4142178,0.42220902,0.433853,0.4420922,0.44179964,0.43314216,0.4205396,0.41018963,0.40891066,0.42028415,0.4400017,0.4567516,0.45940265,0.44829512,0.4327856,0.42464408,0.42693615,0.43814358,0.45515504,0.47563374,0.49374628,0.50056595,0.4927105,0.4748775,0.45927358,0.4534,0.46042904,0.4771637,0.49913582,0.51770824,0.5243397,0.5151848,0.4943867,0.46980694,0.44723117,0.42964292,0.4200705,0.42010644,0.427109,0.43301663,0.4321901,0.42510763,0.4185909,0.41860595,0.428269,0.4466137,0.468677,0.48639593,0.4916736,0.48357067,0.46597657,0.4454584,0.42501235,0.40954682,0.40461555,0.41473457,0.4361404,0.45960736,0.47662523,0.48484322,0.48651692,0.48564708,0.4859767,0.49152437,0.5030123,0.51791096,0.52879816,0.53088063,0.52198285,0.5069793,0.49143037,0.48180047,0.47964728,0.48333487,0.48784995,0.488054,0.48093295,0.46687385,0.44983506,0.43547833,0.4285512,0.431996,0.44390416,0.4598454,0.4725051,0.47842905,0.4760319,0.46815655,0.45820558,0.45219275,0.4537934,0.4615275,0.46881723,0.46963367,0.46500766,0.45979515,0.45828143,0.45987412,0.46284962,0.46743354,0.474593,0.48421988,0.49246064,0.4968966,0.49705794,0.4965247,0.49817348,0.5027084,0.5080929,0.51029277,0.50671214,0.49629366,0.48397276,0.47773376,0.48599258,0.5099588,0.5429274,0.5744348,0.5950296,0.59947014,0.5865567,0.5626488,0.5384011,0.52314025,0.51617676,0.5112873,0.50428903,0.49759576,0.4941968,0.49161634,0.48505405,0.4714925,0.45311835,0.4331378,0.4165422,0.409947,0.417855,0.4369937,0.45327428,0.45444128,0.43775007,0.4140998,0.39554134,0.3902211,0.3990498,0.418465,0.44026884,0.45425287,0.4544623,0.44250634,0.42585233,0.41241756,0.40818694,0.41731265,0.43813142,0.46305636,0.47920585,0.48043194,0.4681635,0.45144668,0.4370027,0.4300413,0.43331942,0.44622362,0.4624871,0.4720389,0.47147802,0.46477845,0.46058762,0.46147645,0.46687743,0.47509804,0.48639154,0.497699,0.5028145,0.4968038,0.48092195,0.4614158,0.4446995,0.4349805,0.43421862,0.44170794,0.4527873,0.4606358,0.45975974,0.44945768,0.4315985,0.41148937,0.3962909,0.39688352,0.41713035,0.4502723,0.47637725,0.48013866,0.45828915,0.42355362,0.39102867,0.37320557,0.3761134,0.40018526,0.43722817,0.4715805,0.48818913,0.48173597,0.45912078,0.43328807,0.41639805,0.41594446,0.43242922,0.45850444,0.4811878,0.48981795,0.48149487,0.46138182,0.43778172,0.41775575,0.40557328,0.40035215,0.39890906,0.39775845,0.39897183,0.40736675,0.4263744,0.45394358,0.4818159,0.50220245,0.507193,0.49662623,0.4730793,0.44716564,0.4268353,0.41809645,0.41909838,0.42608202,0.43436643,0.4403124,0.44214168,0.43944573,0.43546447,0.43352875,0.43715116,0.4464859,0.4599842,0.47434738,0.48566893,0.48910475,0.48007855,0.4572456,0.4264013,0.3976891,0.3824863,0.3858057,0.40813377,0.4424691,0.47817287,0.5014387,0.50367373,0.4862834,0.46038175,0.43999574,0.43322912,0.44035938,0.45471847,0.46786138,0.4726744,0.46639252,0.45125195,0.43226656,0.41567215,0.40676224,0.41016114,0.42622375,0.4484167,0.46453357,0.46402463,0.44722238,0.42323017,0.40408483,0.3957449,0.40121615,0.42045462,0.44946456,0.47631705,0.48606417,0.47201756,0.43937698,0.4026035,0.374949,0.36680484,0.38083816,0.41134712,0.4437382,0.4637777,0.46826753,0.46721792,0.4764793,0.5037076,0.54222554,0.57313985,0.579199,0.5573399,0.5222048,0.49486554,0.4864192,0.49157366,0.49474815,0.4856832,0.46523452,0.44403517,0.4322993,0.43557665,0.4534551,0.47966465,0.50468594,0.5189063,0.5212342,0.5180505,0.51673865,0.5168415,0.51124525,0.4967282,0.47779688,0.46436873,0.46204826,0.47100365,0.48799145,0.5078411,0.5247553,0.53164583,0.5268716,0.5120994,0.49287578,0.472307,0.45489335,0.4446633,0.4441949,0.44918475,0.4505657,0.44177386,0.42407843,0.4066366,0.3988057,0.40583536,0.4259207,0.4513452,0.4713868,0.47630084,0.46560693,0.44820392,0.44056758,0.45332906,0.4859077,0.5223846,0.5438033,0.5379649,0.50965667,0.472617,0.44118395,0.42027554,0.40929854,0.404402,0.40357295,0.4049118,0.40834737,0.41346058,0.42160857,0.43464294,0.45597926,0.48442885,0.51291436,0.5288453,0.5266469,0.51141185,0.49762502,0.49367008,0.49855742,0.5048504,0.508899,0.5109455,0.5086965,0.497579,0.47314146,0.44005564,0.40626025,0.38027683,0.3629193,0.35243836,0.34754792,0.35338032,0.37279546,0.4024169,0.42907235,0.44599247,0.45462015,0.46229482,0.46833834,0.46755895,0.4615833,0.45729616,0.46096364,0.46484163,0.46375573,0.45720312,0.45288596,0.4492143,0.43857813,0.41558024,0.38307118,0.34826362,0.3126644,0.2773672,0.2443233,0.22052044,0.2097636,0.21170561,0.22137685,0.23372358,0.24640203,0.2618644,0.28675562,0.32630435,0.3760418,0.42286125,0.45364404,0.47043228,0.48230615,0.49721703,0.50863945,0.51199365,0.50810796,0.50400573,0.4979049,0.48062956,0.44687608,0.40067878,0.35365558,0.3128984,0.2819977,0.25963446,0.24498957,0.2368543,0.23651941,0.2467513,0.26850894,0.29890907,0.3321889,0.36630502,0.4025705,0.43980137,0.47090304,0.48719904,0.49265912,0.49802408,0.5134823,0.53246444,0.54453737,0.543171,0.53518385,0.5291291,0.5291116,0.53197265,0.5326152,0.5274569,0.51618266,0.50320786,0.49632332,0.49935842,0.5082651,0.5126601,0.5108857,0.5070793,0.5077444,0.5079395,0.503449,0.49500194,0.4893274,0.4873344,0.4810076,0.4644111,0.43643355,0.40348604,0.3679826,0.3336428,0.30241394,0.27922103,0.26516938,0.25932142,0.25788292,0.25780728,0.257701,0.2607245,0.27462974,0.30845234,0.36139223,0.4208374,0.46696803,0.49274445,0.503357,0.51015705,0.5135984,0.5102208,0.50106275,0.49311483,0.48999563,0.48356855,0.46544206,0.4321241,0.39104465,0.34976128,0.31555095,0.2908057,0.27594718,0.26852474,0.26694825,0.2720469,0.28653547,0.31331018,0.3526003,0.40187475,0.45353284,0.4985094,0.5296193,0.54672104,0.55409026,0.5565773,0.5567913,0.5556955,0.5544324,0.55363625,0.5537138,0.55419654,0.55456,0.5548402,0.55473375,0.5520533,0.54260564,0.52481055,0.5062522,0.49697265,0.50187427,0.5112371,0.51606756,0.5131826,0.5082212,0.50246936,0.49451664,0.4870852,0.48578092,0.49248365,0.49568224,0.48440897,0.45476153,0.41610876,0.37743056,0.34443662,0.3169111,0.29408973,0.27496397,0.25953805,0.24898511,0.24469973,0.24692862,0.25558212,0.27287042,0.30531684,0.35442665,0.41214395,0.45901808,0.48424292,0.49055424,0.49200702,0.49536562,0.4989718,0.50188076,0.50600415,0.51261806,0.5115083,0.4942658,0.4595652,0.4187119,0.38167715,0.35270584,0.33018008,0.31171533,0.29722545,0.2878932,0.2875477,0.2982749,0.31900576,0.34383976,0.36940503,0.39827558,0.43353662,0.47011372,0.49434462,0.49956605,0.49378344,0.49280548,0.50385475,0.52042574,0.53300124,0.5365803,0.53345674,0.5276344,0.5238953,0.52543724,0.5299585,0.5308762,0.52169144,0.50673974,0.49493763,0.49230075,0.49265328,0.48944917,0.48415068,0.4836168,0.48975357,0.4949442,0.49653578,0.4966638,0.4998301,0.49901125,0.48580742,0.457629,0.4221135,0.38715705,0.35554445,0.3275911,0.30435067,0.2880493,0.27833375,0.2732204,0.27040207,0.26913235,0.27080837,0.2799687,0.30470598,0.34868097,0.40491465,0.4548216,0.4843267,0.49484754,0.49878487,0.5050103,0.51001316,0.51163703,0.51176625,0.51614386,0.51884556,0.51000875,0.4831308,0.4434316,0.40153214,0.36927724,0.35800827,0.37309134,0.40666714,0.43771943,0.44685158,0.43199244,0.40793025,0.39414063,0.4009054,0.42762432,0.4657712,0.50467294,0.5346188,0.5484736,0.5417178,0.5162077,0.48156652,0.45551574,0.4509132,0.4697967,0.5000217,0.52817756,0.5458813,0.5535942,0.55314183,0.5453573,0.529664,0.5111528,0.49797806,0.4952273,0.49803653,0.49786878,0.49487698,0.49509215,0.5033653,0.512867,0.5187783,0.52159643,0.5254736,0.5257191,0.51161474,0.48019934,0.43891898,0.40047643,0.36838874,0.34174743,0.31808153,0.29943419,0.28692117,0.27975732,0.27583167,0.2737222,0.274564,0.28159186,0.30122036,0.3370029,0.38364264,0.42602292,0.4506738,0.45901856,0.46288466,0.47180286,0.48167917,0.48693398,0.4887018,0.49292174,0.49770677,0.4911673,0.46602896,0.42495725,0.38037333,0.34035864,0.30987272,0.2897285,0.28074953,0.2810988,0.28784385,0.29913735,0.3138975,0.33136025,0.34990153,0.37136617,0.39893904,0.43192235,0.46198693,0.47932932,0.4853672,0.48995236,0.50269336,0.52028966,0.5348567,0.5414761,0.54357195,0.54598093,0.5505367,0.55590755,0.5587323,0.5552351,0.5422674,0.5222488,0.5035016,0.49349454,0.4925802,0.4936465,0.49489495,0.49843368,0.5071437,0.51415163,0.51370865,0.50773,0.50366193,0.5027918,0.49495244,0.47307548,0.4381555,0.40150848,0.36933696,0.3444103,0.32545683,0.3144196,0.31197813,0.3156369,0.3186021,0.31413865,0.3011112,0.28698277,0.2855656,0.30940866,0.3577859,0.41579688,0.46180606,0.48749685,0.4977814,0.50347114,0.5059475,0.50346315,0.49962306,0.5013625,0.50913066,0.5087645,0.48775795,0.44304565,0.38715696,0.33377442,0.29367575,0.269791,0.26040873,0.26069194,0.26657727,0.2779269,0.29667446,0.3247954,0.36086473,0.40204751,0.44300285,0.4786135,0.5041379,0.5173091,0.51674867,0.50162846,0.47516474,0.44539678,0.4239998,0.41662148,0.42084447,0.42782965,0.4318054,0.43383864,0.4384772,0.44640663,0.45144334,0.44679847,0.43206754,0.41366124,0.3981918,0.3870964,0.37808466,0.36954793,0.36283067,0.35969862,0.3604628,0.36259034,0.36373982,0.36169013,0.35684335,0.35047624,0.34499434,0.34181753,0.34044993,0.3396748,0.33818483,0.33671212,0.33662632,0.338681,0.34244373,0.34552583,0.34685194,0.3455011,0.34334114,0.34187555,0.3426466,0.34532487,0.34838077,0.35089698,0.35243618,0.35431683,0.35714987,0.36152795,0.3670665,0.3725939,0.37710118,0.37870094,0.37766644,0.3737264,0.3689799,0.36389557,0.36000708,0.3573632,0.35668,0.35819104,0.36129692,0.3649001,0.36684582,0.36685255,0.36539385,0.36425397,0.36441913,0.36510184,0.36587918,0.36531544,0.36520007,0.36548313,0.36785233,0.37115002,0.3754321,0.3799435,0.3835626,0.38571033,0.38476256,0.38278985,0.38071617,0.3820428,0.38654974,0.39442965,0.40358362,0.41261253,0.4202366,0.42471203,0.42569092,0.42256153,0.41803622,0.4148407,0.41595212,0.42113125,0.4271628,0.43139955,0.4320645,0.4315685,0.43083942,0.4314742,0.43222293,0.43235907,0.43069485,0.42626926,0.41999972,0.41237321,0.40580094,0.3999143,0.3956913,0.39243162,0.3909547,0.39060998,0.3900757,0.38810277,0.38395333,0.38002944,0.37876034,0.38389966,0.39494637,0.4093318,0.42186844,0.4323542,0.44649395,0.4717234,0.5079841,0.5424782,0.55957866,0.55025226,0.5216039,0.48877934,0.4700739,0.47690487,0.5101455,0.5561947,0.5912252,0.59619755,0.56773806,0.5212595,0.4757557,0.44247004,0.42068496,0.4049063,0.39203903,0.3811783,0.37224805,0.36358166,0.35405478,0.34411082,0.3342854,0.32596037,0.32017377,0.32214224,0.33752215,0.3690716,0.40981984,0.44593397,0.46620825,0.46890435,0.4614556,0.45132753,0.44298196,0.4383284,0.4388957,0.44412675,0.44930276,0.44978595,0.44456503,0.43786183,0.4342985,0.4368966,0.44743133,0.46522143,0.485353,0.49696442,0.49186334,0.47005317,0.44168282,0.41799298,0.40557155,0.40572324,0.4161634,0.4327505,0.44738147,0.4528315,0.44516683,0.4278436,0.40856346,0.39662233,0.3991563,0.41631496,0.44076928,0.45946312,0.46373582,0.45262334,0.4332368,0.41421294,0.40277734,0.4035374,0.4157938,0.43306446,0.4437506,0.440637,0.42491868,0.40625522,0.3942375,0.39425835,0.40688625,0.4282643,0.4507341,0.46403733,0.4630209,0.4497265,0.43195996,0.41614386,0.40712515,0.40955973,0.42559788,0.45013404,0.46950993,0.47266635,0.45881367,0.4380984,0.42108914,0.41380513,0.41833496,0.4343599,0.45657268,0.4734172,0.4735624,0.45585552,0.42983022,0.40944836,0.40168595,0.40698937,0.41955742,0.43358138,0.44246718,0.44273028,0.4341391,0.42052504,0.40728393,0.39958882,0.40227354,0.4170805,0.44040468,0.46180335,0.4710922,0.4655966,0.45241487,0.4419391,0.4402008,0.44708237,0.45804438,0.4669299,0.46759507,0.45679215,0.43748495,0.41735518,0.40517303,0.405576,0.41933462,0.44252372,0.4666648,0.47985256,0.47304913,0.44684458,0.41030338,0.3756914,0.35178348,0.34409177,0.3529584,0.37275124,0.39194298,0.3996811,0.3930888,0.37744057,0.36196196,0.3541454,0.35983762,0.3816066,0.4153048,0.44917512,0.46903443,0.46975067,0.45687222,0.44268194,0.43576762,0.438794,0.4486446,0.4589406,0.46295202,0.45631778,0.44148326,0.42425004,0.4115951,0.40673086,0.41266266,0.43007925,0.45534742,0.47760382,0.48476335,0.4736952,0.4516543,0.4312909,0.41985646,0.41916087,0.42637387,0.43786788,0.4484897,0.45296478,0.44819784,0.43477097,0.4174112,0.4033772,0.40029895,0.4118918,0.43338236,0.45341668,0.4603485,0.45247725,0.43697402,0.4250703,0.42230365,0.42871094,0.44066966,0.45401117,0.46464846,0.46815374,0.46329036,0.45133972,0.437434,0.4271827,0.42699322,0.4412017,0.46731576,0.49484769,0.5079574,0.49930438,0.47283974,0.4442979,0.42666796,0.4268588,0.44119486,0.46147144,0.47728196,0.48175743,0.4747438,0.46243677,0.45440745,0.4576663,0.47467515,0.50136155,0.5282286,0.5435898,0.5386219,0.513559,0.47585204,0.43761662,0.40854487,0.3958548,0.40145764,0.4215738,0.44583687,0.461826,0.46223137,0.4479994,0.4269352,0.40822685,0.3995476,0.40484884,0.4220111,0.44249263,0.45417348,0.44960022,0.42974696,0.40378693,0.38287863,0.37658694,0.38961935,0.4193356,0.45527264,0.48285532,0.49307445,0.4855492,0.46880183,0.45198014,0.4441122,0.4489189,0.4643427,0.48015523,0.48515853,0.47637782,0.46124515,0.4515265,0.45237127,0.46184292,0.47392908,0.48358595,0.4868041,0.480831,0.4661645,0.44642934,0.42761806,0.41511488,0.41360846,0.4257942,0.44957802,0.47701642,0.49625716,0.4999368,0.48744765,0.465482,0.4421318,0.4264106,0.42484584,0.43743816,0.4552294,0.46413812,0.45735422,0.43872854,0.4207951,0.4128357,0.4178076,0.43207705,0.44927478,0.4629178,0.46745446,0.46276167,0.45167688,0.44021717,0.43063045,0.4242392,0.42029524,0.41996142,0.42396143,0.4315926,0.44074318,0.44750544,0.4502518,0.4480784,0.44518313,0.4468806,0.45792437,0.47566912,0.49188772,0.49996695,0.50006336,0.49651602,0.4912707,0.4839659,0.47845855,0.480849,0.4951998,0.5161976,0.53759795,0.55524904,0.568367,0.5729589,0.5636856,0.5404897,0.51058865,0.4851524,0.4712057,0.471194,0.48219824,0.49743453,0.50812083,0.5086229,0.5026099,0.4976265,0.49912843,0.5037343,0.50752217,0.50998205,0.51352185,0.51790136,0.51950175,0.51919895,0.5199867,0.52470136,0.5274322,0.5219297,0.50489926,0.48116073,0.45732322,0.44095084,0.43801162,0.45071197,0.47379884,0.4961966,0.5100293,0.51641405,0.5209112,0.52453893,0.5199735,0.50234336,0.47348905,0.44402227,0.42186877,0.41307774,0.41809115,0.43428874,0.45243442,0.46214452,0.45954815,0.44931194,0.4408833,0.43673304,0.4340601,0.4256592,0.410794,0.3943944,0.38709095,0.3972533,0.42453003,0.45907953,0.48682442,0.50164235,0.5083131,0.51579046,0.52651256,0.532265,0.5247546,0.5008759,0.46725503,0.43295908,0.40988982,0.40693104,0.42556682,0.4556408,0.48169973,0.49630466,0.5027071,0.5084985,0.51452637,0.5173424,0.516356,0.5138738,0.5110486,0.50165105,0.48275626,0.45595297,0.43132615,0.4157419,0.4147595,0.4288042,0.45516062,0.484593,0.5062614,0.51555115,0.5158088,0.51241094,0.50629807,0.49689865,0.48927197,0.48937663,0.4982729,0.50506586,0.50025934,0.47930714,0.4488434,0.41704348,0.39544356,0.3931091,0.413461,0.44831696,0.48183927,0.5028842,0.5099179,0.5087108,0.5035569,0.4973471,0.49534798,0.50122046,0.51335543,0.5195106,0.51033115,0.4834136,0.44882488,0.41826105,0.40275168,0.40676928,0.42749026,0.45456293,0.4760902,0.48786917,0.49367356,0.49787346,0.4990852,0.4934841,0.48599175,0.4850661,0.49518177,0.50502205,0.50198865,0.48101744,0.45187315,0.4271113,0.4163145,0.42252418,0.4417621,0.4638792,0.47652268,0.47691855,0.4737577,0.47937942,0.49664733,0.51689416,0.53130764,0.535728,0.53176594,0.5176434,0.49365148,0.4627582,0.43421102,0.41597435,0.41313004,0.42638054,0.451278,0.47852483,0.4965249,0.5013643,0.4977958,0.49459705,0.49479696,0.49609113,0.4977636,0.5008586,0.5053776,0.50417715,0.49222395,0.469435,0.4431026,0.41910997,0.40284005,0.39943245,0.41247174,0.4377315,0.4624854,0.47648728,0.47987458,0.48060775,0.482829,0.48255697,0.4760153,0.4644407,0.45437732,0.44748887,0.4420041,0.433207,0.4204456,0.4053239,0.392331,0.3855666,0.38656172,0.39343533,0.40251157,0.41388962,0.43051767,0.45391175,0.47851905,0.49432734,0.49597123,0.48549214,0.47059748,0.45593193,0.443874,0.43371692,0.42474353,0.41494122,0.40397465,0.39466658,0.39094734,0.39447388,0.40189266,0.4096196,0.4149731,0.41784254,0.4181591,0.41852936,0.42419645,0.4386494,0.45801958,0.4724802,0.47670022,0.47620168,0.4801078,0.4908196,0.4992516,0.4969491,0.48126745,0.45834407,0.43520546,0.42033717,0.42119732,0.43949386,0.46705356,0.48745707,0.49072614,0.47692844,0.4562364,0.43568274,0.419435,0.4080303,0.40304017,0.40492383,0.4139881,0.43061033,0.45315245,0.47464204,0.48440132,0.47603044,0.45440602,0.43045554,0.41365096,0.40554973,0.4066182,0.41696596,0.43598652,0.45655432,0.46962288,0.47137022,0.4653372,0.45848933,0.45266676,0.44708648,0.438596,0.42892084,0.42069408,0.41920015,0.42632532,0.44019368,0.45362827,0.45817497,0.45061526,0.43393627,0.41559783,0.40147606,0.39633453,0.4045953,0.4275166,0.45984992,0.48864818,0.5036796,0.50165385,0.4884483,0.47154203,0.4588795,0.45595548,0.4636432,0.47600314,0.48339364,0.48098636,0.4713088,0.46085915,0.45335257,0.44915596,0.44876373,0.45335045,0.46290663,0.47324872,0.47926438,0.4776549,0.46954754,0.45923963,0.45307407,0.45693576,0.47201326,0.49303928,0.5099701,0.51564425,0.5088638,0.4940946,0.4766592,0.46214524,0.45648754,0.46386042,0.4823706,0.50293475,0.5158293,0.5177658,0.5128308,0.50690454,0.50245434,0.4991676,0.49572387,0.49130008,0.48519015,0.47796312,0.4716067,0.4677775,0.46636426,0.46522224,0.46285978,0.4584819,0.45343068,0.4492172,0.4485722,0.4528449,0.4630818,0.47893262,0.4991137,0.5199203,0.535003,0.53867644,0.5292044,0.51077706,0.48967603,0.47056222,0.4554133,0.44590625,0.44534683,0.4556421,0.4738852,0.49147037,0.49960765,0.49442565,0.4784929,0.45882806,0.4437771,0.4411622,0.45277262,0.4729177,0.4896494,0.49521717,0.49057266,0.48422053,0.48282632,0.4868203,0.4921873,0.4951992,0.49454892,0.48994872,0.48164952,0.47101805,0.46082318,0.45447418,0.4547442,0.4634769,0.4797097,0.4973054,0.506381,0.49885568,0.47646868,0.44836506,0.42597187,0.41371855,0.41146865,0.4149035,0.42022693,0.42314658,0.4222313,0.41984448,0.42034438,0.42694163,0.43749058,0.44819936,0.4543811,0.45519018,0.45173216,0.44825518,0.44832134,0.45240584,0.45695266,0.45765892,0.45441237,0.44951048,0.4449638,0.43947974,0.43303105,0.427951,0.426796,0.428924,0.4313724,0.43525204,0.4435707,0.45857763,0.47444007,0.4839276,0.48175144,0.47070122,0.4562823,0.44513002,0.4405001,0.44286323,0.44812933,0.4506004,0.44597742,0.4357464,0.4254435,0.4208376,0.4243231,0.43585062,0.45488426,0.4779941,0.49781552,0.5033329,0.48930144,0.4585595,0.42266604,0.3931692,0.37924048,0.38379598,0.4031826,0.42674264,0.44203484,0.44292283,0.43265155,0.42063558,0.41541398,0.42167637,0.43967018,0.46359253,0.48334882,0.48786858,0.4753833,0.45216873,0.43034902,0.41720882,0.4164301,0.42632404,0.4422998,0.4555236,0.45696613,0.44326675,0.4184676,0.3922744,0.3739871,0.37103698,0.38599548,0.41441318,0.44451487,0.46205398,0.46062934,0.44271946,0.41807127,0.3949733,0.38203195,0.38529328,0.40604523,0.43559685,0.45927718,0.46796486,0.4627234,0.4530324,0.44641122,0.44770804,0.4576622,0.4739957,0.48928452,0.49443045,0.48570302,0.4674544,0.44969198,0.4403335,0.44258234,0.45393166,0.46840012,0.47819468,0.4767237,0.46209154,0.43745747,0.40984142,0.38688233,0.3757694,0.3813046,0.40199843,0.42905578,0.4484936,0.4513373,0.43723357,0.4152173,0.39614388,0.38888478,0.3967923,0.41613793,0.4375795,0.45004824,0.44893205,0.43703714,0.42269087,0.41278967,0.41176447,0.4214904,0.44003487,0.46060416,0.47158208,0.4664961,0.44698533,0.42416525,0.40826228,0.40590122,0.41789052,0.44014844,0.46368825,0.4764202,0.47237158,0.45490205,0.4357345,0.42480287,0.42668322,0.44158408,0.46669003,0.49634054,0.5196641,0.52789706,0.5173108,0.4929677,0.46347487,0.43962428,0.43165,0.4430448,0.46792427,0.4906877,0.5014326,0.49889138,0.4921011,0.48627642,0.48397967,0.4854763,0.4925007,0.5030081,0.50850564,0.50093156,0.4798982,0.4555867,0.43993244,0.4394562,0.45325515,0.47458145,0.49491027,0.5048923,0.5003947,0.48330423,0.4618936,0.44580603,0.44321656,0.45964786,0.49295792,0.53239125,0.5585828,0.55773175,0.5284028,0.48462686,0.44397902,0.42009962,0.41753605,0.43213102,0.45343426,0.46861646,0.47079304,0.4615649,0.44995716,0.4453697,0.45354453,0.47505888,0.50344765,0.52693963,0.53226465,0.51519865,0.48343146,0.45138562,0.42985228,0.42171165,0.42681912,0.4430715,0.46609357,0.4864088,0.49661264,0.4963051,0.49094865,0.48597452,0.48315606,0.48523533,0.49331746,0.50517684,0.5114375,0.50525975,0.48783848,0.46842447,0.45551434,0.45270076,0.46062955,0.4780953,0.500688,0.5195685,0.5267129,0.5201009,0.5035696,0.4834417,0.46600792,0.4591185,0.46747103,0.48784852,0.50688845,0.51151556,0.49855432,0.4749347,0.45019093,0.42993835,0.41926268,0.421141,0.4346815,0.44995847,0.45678508,0.4515704,0.44126973,0.43473628,0.43797848,0.45259953,0.47769383,0.50762606,0.5318559,0.53957945,0.5276146,0.5014225,0.4714618,0.44735268,0.43678188,0.44233426,0.45915756,0.47578585,0.48167476,0.4749513,0.46145606,0.44935215,0.44419023,0.44996142,0.4682698,0.49444714,0.5172468,0.5244513,0.51429164,0.4942168,0.47653046,0.46718928,0.4688674,0.47943866,0.49581918,0.5099894,0.51439136,0.50584626,0.4878138,0.46748498,0.45027292,0.44184396,0.44502583,0.4600747,0.47940433,0.4934161,0.49620938,0.48922288,0.47876418,0.46968797,0.4665079,0.47010902,0.4791269,0.48647237,0.48580265,0.47628117,0.46405587,0.45707652,0.45853043,0.46844617,0.4839301,0.5004788,0.50981987,0.5046728,0.4849335,0.45813426,0.43468368,0.42076766,0.41923428,0.42953098,0.44810352,0.46729767,0.47853902,0.47758254,0.46546677,0.44767413,0.43150797,0.4257966,0.43727732,0.46371165,0.49283823,0.50764376,0.50092834,0.4771318,0.44950595,0.42800176,0.41846135,0.42135456,0.43332347,0.44556594,0.44756123,0.4341201,0.40895832,0.3823913,0.36541644,0.36695743,0.39138317,0.4336263,0.47827578,0.5049648,0.50361496,0.47833756,0.4453671,0.41982707,0.41220936,0.4243672,0.45009425,0.47577766,0.48651358,0.47554037,0.4472755,0.41481102,0.39212832,0.38891706,0.4080037,0.4423151,0.47857317,0.5014708,0.50606865,0.49609995,0.48194674,0.46977946,0.46449044,0.46890035,0.4832418,0.5007525,0.5097771,0.5048042,0.48875853,0.47168705,0.46021476,0.45919594,0.47063935,0.49306762,0.5173225,0.52950174,0.52194285,0.4975711,0.46754205,0.44190112,0.42728242,0.4275361,0.44133106,0.46147117,0.4745324,0.47255763,0.45532075,0.43183208,0.411392,0.4022769,0.41010538,0.43361723,0.46388665,0.48382166,0.48436165,0.46626934,0.44347584,0.42809546,0.42926225,0.4481204,0.47899166,0.50927275,0.5251894,0.5246636,0.5187761,0.5257044,0.5520528,0.5892269,0.61615056,0.6168349,0.5869133,0.5391639,0.49098858,0.45699644,0.438688,0.43063024,0.42597303,0.42301714,0.42328537,0.42804432,0.43647242,0.44554833,0.4517907,0.4527006,0.44821241,0.4403253,0.43097058,0.4209962,0.41167828,0.40645015,0.40916565,0.41965345,0.4325942,0.44119534,0.44300047,0.4402163,0.43766654,0.43745276,0.43950844,0.44037578,0.43821225,0.43215445,0.4263529,0.4258701,0.43681195,0.45806453,0.48147264,0.49230492,0.4820882,0.45442912,0.42430577,0.40756652,0.4122195,0.43820834,0.4764881,0.5144726,0.5371955,0.53894657,0.5232311,0.502375,0.48626447,0.48028517,0.48442304,0.49517083,0.5063521,0.5104664,0.50448006,0.4907354,0.475634,0.46500468,0.4630015,0.47334826,0.49571076,0.52472085,0.5488966,0.56068534,0.5593314,0.551236,0.54210657,0.5355827,0.53407407,0.5389356,0.54803324,0.55402166,0.5495193,0.5319682,0.50579953,0.47881636,0.4592218,0.45369038,0.46424487,0.48584247,0.508267,0.52475214,0.5380187,0.55559087,0.58055335,0.60517114,0.6183865,0.61222166,0.5890726,0.558008,0.53268933,0.52306366,0.53047997,0.546165,0.5572267,0.55618745,0.5431742,0.5240621,0.5049418,0.49197578,0.4911189,0.50401205,0.5262553,0.54752475,0.56253815,0.5703823,0.57327074,0.5673863,0.5495465,0.52183443,0.49441242,0.4771825,0.47475842,0.48666874,0.5091145,0.534455,0.5519379,0.5534792,0.53963315,0.5179625,0.49707696,0.48192146,0.47519836,0.47772563,0.48733643,0.49800396,0.5032003,0.5003455,0.4907285,0.47813857,0.46710834,0.46412393,0.4736838,0.4932097,0.51226443,0.5210447,0.52146155,0.5247281,0.541028,0.5666287,0.58823586,0.5917489,0.57386637,0.5412678,0.5070265,0.481408,0.46859655,0.464576,0.46338567,0.45999277,0.45499945,0.4514108,0.45333835,0.46187413,0.47604713,0.49376574,0.5132335,0.53150815,0.54366356,0.5444435,0.5342324,0.52056575,0.515441,0.52401,0.54217553,0.55839705,0.564897,0.5589454,0.5423607,0.5168366,0.48532835,0.4527422,0.4256041,0.40951455,0.40583387,0.41204897,0.42284384,0.43619886,0.45019808,0.46357802,0.46822128,0.45861232,0.43159366,0.3941691,0.35424384,0.32022515,0.29526845,0.2799712,0.272036,0.268315,0.26630047,0.26562616,0.26747373,0.27215156,0.27667317,0.2763753,0.26817438,0.25375935,0.23809797,0.22634368,0.22116469,0.2222892,0.22762649,0.23370813,0.23757589,0.23756923,0.23458113,0.23021011,0.22547843,0.22012067,0.21365869,0.20636062,0.19862725,0.19096154,0.1835439,0.17729662,0.17332034,0.17291903,0.17682268,0.1850301,0.19616884,0.2072032,0.21432967,0.2147253,0.20817177,0.19666237,0.18261202,0.16765864,0.15318216,0.14189963,0.13734423,0.14190704,0.15440916,0.17070566,0.18579178,0.19638105,0.20154613,0.20199366,0.19887288,0.19292563,0.18475114,0.17524551,0.16599916,0.15862454,0.15389967,0.15131727,0.14953902,0.14735182,0.14465684,0.14263271,0.14298618,0.1460712,0.15049769,0.15401705,0.15591127,0.15699394,0.15848462,0.16015138,0.16107203,0.16083999,0.16028352,0.16005306,0.15935417,0.15649271,0.15062435,0.14324546,0.13692735,0.13396144,0.13480902,0.13865362,0.14336105,0.14644186,0.14619811,0.14304416,0.13937755,0.13742886,0.13798474,0.1401319,0.14273,0.14478657,0.14583105,0.14614908,0.14698963,0.14983135,0.15476279,0.16018076,0.16390221,0.16493529,0.16369912,0.16095789,0.15710391,0.1524265,0.14789653,0.14471142,0.14343494,0.14363633,0.1445775,0.1458597,0.14707178,0.14770006,0.1471488,0.1455697,0.14332698,0.14100613,0.13872695,0.13680415,0.1353574,0.13490058,0.1360598,0.13948064,0.14488117,0.15073466,0.15521438,0.15729772,0.15725707,0.15572345,0.15300159,0.14938039,0.14559978,0.14287062,0.14140387,0.13993584,0.13649379,0.13015646,0.12195066,0.113570206,0.10650778,0.100978374,0.097145826,0.09520647,0.09637066,0.10149611,0.11019591,0.11956018,0.12590913,0.12731843,0.1252353,0.12306217,0.123212546,0.1260842,0.13058408,0.13570315,0.14041631,0.14367211,0.14490889,0.14460665,0.14426534,0.14467132,0.14592898,0.14763276,0.15000378,0.15296067,0.15529794,0.15503804,0.15060087,0.14241245,0.13230513,0.12350342,0.11894829,0.120560974,0.12722749,0.13557686,0.14161454,0.14364469,0.14244181,0.14017862,0.13850917,0.13822836,0.1393274,0.14117785,0.14244132,0.14166367,0.13850482,0.13424246,0.13107602,0.13042147,0.13254237,0.13666886,0.14167865,0.14550693,0.14562452,0.14035147,0.13084085,0.12098449,0.11491719,0.11441314,0.118128635,0.12335078,0.12754388,0.12915912,0.12765223,0.1239185,0.120268464,0.11941865,0.12280949,0.12959857,0.13700564,0.14173594,0.14184326,0.13790117,0.13269429,0.12935571,0.12946361,0.13258867,0.13711603,0.1413728,0.1438256,0.14314581,0.13867466,0.13110803,0.1227616,0.11612097,0.11282599,0.1125653,0.11415366,0.11599785,0.11743037,0.11856708,0.120061554,0.121998735,0.12342349,0.12329576,0.12139603,0.118926585,0.11685776,0.11532563,0.11366084,0.11193291,0.11115175,0.11217281,0.114806294,0.11763214,0.119456686,0.119573675,0.11838794,0.116439514,0.1145952,0.11325318,0.11285708,0.113479614,0.11511154,0.11723422,0.11913518,0.12029117,0.12088304,0.12150368,0.122410856,0.12292852,0.12216247,0.11981543,0.1168127,0.11443982,0.11389956,0.11573687,0.11983594,0.12493708,0.12902157,0.13030441,0.12847172,0.12455315,0.12001381,0.115831524,0.112548046,0.11049378,0.10962769,0.10928356,0.108135484,0.105130196,0.10003102,0.09376064,0.08750532,0.082145676,0.07774338,0.07397839,0.070460826,0.0671123,0.064055786,0.061469268,0.059362445,0.057607185,0.056076784,0.054763015,0.053698253,0.05282341,0.05197526,0.05102255,0.049978163,0.04893842,0.04794246,0.04689363,0.04568105,0.044322416,0.04300965,0.04194882,0.041214872,0.040722325,0.04036611,0.040102627,0.03991514,0.039683636,0.03917183,0.03817047,0.03666697,0.034889523,0.033143666,0.03164672,0.030428052,0.029405175,0.028469367,0.027557945,0.02663623,0.025673082,0.024625974,0.023467235,0.022192746,0.02081566,0.019329881,0.017721117,0.015989898,0.014194927,0.012433317,0.010807297,0.009384438,0.00819653,0.0072483947,0.00651123,0.0059193713,0.0053716786,0.004775988,0.0040846188,0.0033201987,0.0025532285,0.001864647,0.0013067779,0.0008902845,0.00059470494,0.00038879315,0.00024628296,0.00014916343,8.564641E-05,4.6619793E-05,2.5439285E-05,1.7637147E-05]