[0.0071488777,0.009963551,0.016671225,0.026239214,0.03677785,0.04594454,0.05177922,0.05331987,0.050686598,0.045380797,0.04066935,0.04177161,0.052850682,0.07479134,0.103519976,0.1348384,0.16559832,0.19486101,0.21896775,0.2336222,0.23556882,0.22692294,0.21303959,0.20083548,0.19618945,0.20278181,0.21994267,0.24234267,0.26270947,0.27616397,0.28225183,0.2836821,0.28371298,0.28429815,0.28568038,0.28648975,0.28526655,0.2813128,0.27579972,0.27031246,0.26617208,0.26316702,0.26064077,0.25787547,0.2551336,0.25325954,0.25365064,0.2569363,0.2623755,0.26758626,0.2704769,0.27028933,0.26770127,0.26320446,0.25694868,0.24935679,0.24146636,0.23374264,0.22472793,0.21196409,0.19426577,0.17377537,0.15472479,0.14142032,0.13651595,0.14214045,0.15920185,0.186126,0.21640651,0.24158597,0.2555176,0.25844273,0.25472742,0.24923527,0.24381846,0.23835807,0.23191947,0.2248257,0.21805191,0.2136131,0.21289723,0.21598281,0.22034691,0.22270113,0.22132246,0.2179863,0.21624576,0.21871443,0.2249964,0.2323435,0.23731512,0.23747815,0.23210907,0.22201174,0.2085035,0.1929872,0.17706706,0.16355453,0.15546237,0.15454043,0.15946968,0.16680811,0.17277758,0.17547269,0.17615163,0.17916751,0.1895448,0.20867813,0.23191328,0.25110456,0.2605687,0.26069692,0.25639573,0.25232565,0.25051317,0.25064674,0.25201404,0.2533549,0.25224066,0.24538983,0.23133637,0.21252565,0.19419558,0.1800316,0.17018528,0.16308348,0.16050361,0.16724002,0.18686582,0.21618116,0.2467345,0.27089435,0.28623566,0.29413286,0.2945749,0.28455988,0.26142752,0.22796442,0.1940922,0.17183942,0.16870241,0.18268748,0.20479079,0.22480877,0.23740728,0.24310297,0.24555753,0.24795882,0.2519506,0.25797483,0.266081,0.27539563,0.2843869,0.29134405,0.2950513,0.29523957,0.29215857,0.28744146,0.28281206,0.27905774,0.2734134,0.26122808,0.24065614,0.21708041,0.20177604,0.20293099,0.21943046,0.24069977,0.25639856,0.26251134,0.26262045,0.2616936,0.26233712,0.26417828,0.26633462,0.26883224,0.27207866,0.27570423,0.27802002,0.2770851,0.2723802,0.26530346,0.25770703,0.24940158,0.23821004,0.22234762,0.20372222,0.18780297,0.18072455,0.18537264,0.19925897,0.21597552,0.22852582,0.23385291,0.23348348,0.23165102,0.23119283,0.23226278,0.23315026,0.2323028,0.22912629,0.22373533,0.21662714,0.20858324,0.20053504,0.19288635,0.18543287,0.17792302,0.17114538,0.16632003,0.16397923,0.1628641,0.16099475,0.15696348,0.15097646,0.14436406,0.1387598,0.13528322,0.13422729,0.13519412,0.13729464,0.13952403,0.14116752,0.14229155,0.14364985,0.14590491,0.1487025,0.15107857,0.15209658,0.15180229,0.15012251,0.14721684,0.14326967,0.13979153,0.13830666,0.13961135,0.14264613,0.14551009,0.14607017,0.14323902,0.13726194,0.13010767,0.12393915,0.1200827,0.11826903,0.118056774,0.11925957,0.122123934,0.12620525,0.13099396,0.13618694,0.14235885,0.14988239,0.15854214,0.16711009,0.17402403,0.17800492,0.17891331,0.17791235,0.17684639,0.17692481,0.17811726,0.17954646,0.18087997,0.18338001,0.18970297,0.20247751,0.2214362,0.24278827,0.2601073,0.26916948,0.2700189,0.2674444,0.26654342,0.26959255,0.2743237,0.27675998,0.2750514,0.27190685,0.2715082,0.27509704,0.27812466,0.2749608,0.26333937,0.24725996,0.23276372,0.22450973,0.22369985,0.22883624,0.23691724,0.24377818,0.24605216,0.2419471,0.23269086,0.22204518,0.21610844,0.22062968,0.23744333,0.2618934,0.28535274,0.30043265,0.3049374,0.30101326,0.29203674,0.28015593,0.26585558,0.24860011,0.22776638,0.20389928,0.17937966,0.15838934,0.14521737,0.14384116,0.15593128,0.18041892,0.21083875,0.23806107,0.25355694,0.25483993,0.24532725,0.23127379,0.217616,0.20600612,0.19679014,0.19081356,0.19075547,0.19824821,0.21215881,0.2281748,0.2425975,0.25424898,0.26442966,0.2739344,0.28153658,0.28481743,0.28217688,0.27561656,0.27007043,0.27138308,0.28107366,0.29452336,0.30219135,0.2952639,0.27138257,0.23707503,0.20521425,0.18685918,0.18509917,0.19409041,0.20684464,0.2211576,0.24010791,0.2657467,0.29497933,0.32068536,0.33510843,0.3343084,0.31992677,0.3007572,0.28761917,0.28716564,0.29699907,0.3091621,0.31636044,0.3164459,0.31182525,0.30638254,0.30270883,0.30052635,0.29688552,0.2873867,0.2693331,0.24420118,0.21817513,0.19791071,0.18628992,0.18085273,0.17767991,0.17486762,0.17361969,0.1756383,0.18142362,0.18948795,0.19723608,0.20143801,0.19961524,0.1916974,0.18113756,0.17386563,0.17494708,0.18616407,0.20491767,0.22626972,0.24432659,0.25517035,0.25745335,0.2533417,0.24642678,0.2408695,0.23965545,0.24427426,0.25359407,0.2648107,0.27495432,0.28285608,0.28883302,0.29367378,0.2978007,0.30156037,0.30517238,0.30827534,0.3093004,0.30605438,0.29652545,0.28106204,0.26330647,0.24991424,0.24536566,0.24757926,0.24750067,0.23640198,0.21282445,0.18440652,0.16243325,0.1559024,0.16686235,0.19084962,0.21887745,0.2433877,0.26073125,0.27162588,0.27703276,0.2765443,0.26929328,0.25624022,0.24104981,0.22716884,0.21632637,0.20719345,0.19866718,0.19030797,0.18335994,0.17780541,0.1727217,0.16608997,0.15761021,0.14871557,0.14262156,0.14157192,0.14576541,0.15277828,0.15954532,0.16410725,0.16687769,0.1705757,0.1788531,0.19467922,0.21777396,0.24448685,0.2686185,0.28540516,0.29319382,0.29415014,0.2916139,0.28825283,0.2850652,0.28209898,0.27956712,0.2775477,0.27518487,0.26997963,0.25976947,0.24545209,0.23213214,0.2261724,0.23017435,0.24024291,0.24788533,0.24559432,0.2316277,0.21102352,0.19221245,0.18153094,0.18028599,0.185371,0.19357687,0.20340858,0.21503152,0.22723056,0.23755716,0.24313577,0.24321997,0.23881431,0.23200172,0.22429305,0.2168802,0.21085934,0.20721988,0.20561546,0.2039643,0.19976567,0.19188458,0.18107998,0.16890125,0.15684581,0.1463409,0.1386004,0.13437591,0.13311505,0.13346344,0.13353382,0.13254406,0.13133197,0.13243903,0.13779074,0.14689355,0.15650032,0.16271634,0.16307503,0.15763552,0.14866526,0.13986653,0.1347124,0.1351127,0.14060037,0.14876318,0.15600671,0.1587366,0.15524961,0.14692512,0.13759331,0.13086137,0.1280934,0.12833303,0.12922321,0.12801312,0.123553805,0.11926699,0.12471539,0.14957087,0.19550556,0.2504342,0.29661718,0.32095754,0.32264924,0.30811727,0.28385735,0.2535554,0.22070847,0.19310017,0.17977555,0.18627785,0.20870279,0.23610067,0.25693932,0.26594284,0.26576427,0.2637532,0.26872876,0.28842327,0.32516122,0.37224844,0.4135327,0.43452236,0.4311212,0.413313,0.39388123,0.3810031,0.37428662,0.371593,0.37186933,0.37758183,0.39061317,0.40987003,0.42885414,0.4392872,0.43584192,0.41991603,0.3973359,0.3751284,0.35788062,0.3477272,0.3437737,0.34373975,0.34515607,0.34678707,0.34975955,0.35693344,0.37217656,0.39435765,0.41623878,0.42543474,0.41579497,0.390483,0.36157337,0.33945045,0.32971036,0.33159068,0.3423734,0.3585635,0.37828663,0.3993,0.41759643,0.42665172,0.42184177,0.40472183,0.38241446,0.36375973,0.35447076,0.3555113,0.36253953,0.36811408,0.36757395,0.36169848,0.3562592,0.35427323,0.35481748,0.35330746,0.34785476,0.33894256,0.3299491,0.32315823,0.3198497,0.32008907,0.3255677,0.34041736,0.36522424,0.39332852,0.40947926,0.40444764,0.37906873,0.34641814,0.3175685,0.3009756,0.29902062,0.31309614,0.33906373,0.37097785,0.40044832,0.42276037,0.43337676,0.4327052,0.4214202,0.4048908,0.38522232,0.36572185,0.34596133,0.32704654,0.3083756,0.29178753,0.28084457,0.2795256,0.2899021,0.31047103,0.34006992,0.37347475,0.4019847,0.4115577,0.3967427,0.36285523,0.325681,0.297001,0.28262517,0.28140986,0.2916228,0.30984595,0.33433998,0.36075962,0.38312045,0.39075506,0.37854883,0.3501309,0.31966388,0.3003847,0.2989353,0.3112102,0.32740924,0.33647823,0.33454183,0.3251343,0.31687,0.31441417,0.31734,0.32097873,0.32223567,0.32038066,0.3172319,0.31417814,0.31168666,0.3100195,0.311801,0.32210365,0.34292778,0.36932755,0.38917398,0.39395443,0.38310042,0.3647354,0.34602293,0.33127084,0.32160273,0.31901124,0.32592645,0.34477296,0.37354675,0.40477312,0.425876,0.4306418,0.42203867,0.41180834,0.40644693,0.40669093,0.40850732,0.4115206,0.41613802,0.42222854,0.42681035,0.42855486,0.42964867,0.43634856,0.4513156,0.47052744,0.4818131,0.4776539,0.45909595,0.43768415,0.42165646,0.41276786,0.4056292,0.39731744,0.39010346,0.39132658,0.40644887,0.4323149,0.4553256,0.45957854,0.44065836,0.4100252,0.38667318,0.38092837,0.38925764,0.39868632,0.3988804,0.38732517,0.37047473,0.35688165,0.35266462,0.3573924,0.36731705,0.3776674,0.38592243,0.3911068,0.39379263,0.39500403,0.3970014,0.40301657,0.4173609,0.4399483,0.46484312,0.4801487,0.47954538,0.46551952,0.449248,0.43831098,0.4338915,0.43124828,0.42845932,0.42747116,0.43376735,0.44825625,0.46668613,0.47903207,0.47960222,0.4673845,0.44842875,0.42784664,0.41159263,0.402877,0.40360746,0.41061532,0.41841355,0.42243055,0.4225204,0.42273238,0.42825297,0.442331,0.46255887,0.48091766,0.48764256,0.4784771,0.4576452,0.43410447,0.41498828,0.40175667,0.39200416,0.38346422,0.3774414,0.3795526,0.39374205,0.4180332,0.44126436,0.4530299,0.4489726,0.43569446,0.42215613,0.4153622,0.41490877,0.4165121,0.41426635,0.40623352,0.39363846,0.38041297,0.36916783,0.3623751,0.36163998,0.368088,0.37989774,0.39241156,0.40004334,0.3991793,0.3912673,0.38259307,0.38299775,0.397791,0.42345962,0.44686088,0.45647,0.4499904,0.4348136,0.41959587,0.40796992,0.40013254,0.39631847,0.39986357,0.41470745,0.44045344,0.46882847,0.48571515,0.48236886,0.4612057,0.43489566,0.4138428,0.40210113,0.39629105,0.39298344,0.38934457,0.3856859,0.3828262,0.38266984,0.3867559,0.39698803,0.4123943,0.42761794,0.43316364,0.42402485,0.40340176,0.382092,0.36817417,0.3635348,0.36391926,0.3657392,0.3686831,0.3767701,0.39404583,0.4193037,0.4437261,0.45572245,0.4503912,0.43259168,0.41253114,0.39756396,0.38977456,0.38738397,0.38758388,0.38774905,0.3868184,0.38516498,0.38396883,0.3838016,0.3850882,0.38837895,0.39377463,0.3999697,0.40434083,0.4048942,0.40198287,0.3990833,0.40173778,0.4131104,0.43097678,0.44657826,0.45246756,0.44672087,0.43505856,0.42348126,0.41518772,0.4095513,0.40560994,0.4046123,0.40976834,0.4236063,0.4429063,0.45875883,0.4619409,0.44992483,0.42789796,0.40336964,0.38185203,0.3657103,0.3558624,0.35189745,0.35178438,0.3526802,0.35239065,0.3523955,0.3576318,0.37453866,0.40250683,0.43163368,0.44596148,0.4385115,0.41605663,0.39476624,0.3849579,0.38574597,0.38979983,0.39278123,0.39752564,0.40950418,0.42978218,0.45181653,0.46464205,0.46263203,0.44825676,0.43136537,0.41927028,0.41477242,0.41395828,0.4123497,0.40553853,0.3937368,0.3778611,0.36136392,0.34607247,0.33654508,0.33484688,0.3417273,0.3518461,0.36042777,0.36376917,0.36320564,0.36183143,0.36532244,0.37905273,0.40319562,0.42957756,0.44436613,0.44027126,0.4205314,0.39663243,0.37738475,0.36680433,0.3646178,0.3704239,0.38296714,0.401229,0.42175734,0.44053543,0.4514865,0.4532373,0.44690236,0.43779543,0.42786896,0.4189197,0.41036543,0.40269384,0.39488986,0.38728562,0.38164687,0.38142583,0.38875178,0.40325627,0.42109463,0.4365368,0.44288668,0.43727413,0.4213872,0.40171194,0.3840109,0.3719078,0.36588636,0.36571977,0.3714148,0.384016,0.40445516,0.43039164,0.45462164,0.4677539,0.46535668,0.45162818,0.43637887,0.42770043,0.42731583,0.4315355,0.4350866,0.43486091,0.43111214,0.42612147,0.4219203,0.41858304,0.4146483,0.4083606,0.39905226,0.38810506,0.37867895,0.3743817,0.3776196,0.38870415,0.40711093,0.42960015,0.45080078,0.4620335,0.45951572,0.4455919,0.42992172,0.41890958,0.41389212,0.41047987,0.40666747,0.40444854,0.40995446,0.42621887,0.45002088,0.47072938,0.47886765,0.46965042,0.44624904,0.41395175,0.38144135,0.3569406,0.34760764,0.3528438,0.36616877,0.3788929,0.3859167,0.38762474,0.38829803,0.39572683,0.4131526,0.437435,0.45552826,0.45842156,0.44491646,0.42571846,0.41048065,0.40403542,0.40269434,0.40104023,0.3952324,0.38710114,0.3804849,0.37900487,0.3829256,0.39397144,0.4127842,0.43871582,0.4637564,0.48109606,0.4863024,0.48282337,0.47383225,0.4649254,0.4595685,0.46024725,0.46300724,0.46291137,0.45898023,0.4561762,0.45909414,0.46560165,0.47092345,0.4710158,0.4681305,0.4646183,0.46400404,0.4647908,0.46404684,0.4553894,0.43762162,0.41457948,0.39508525,0.3841629,0.38157818,0.38314554,0.38639894,0.3921325,0.4033991,0.42012164,0.43762568,0.44717047,0.4453361,0.43455973,0.4230161,0.41387936,0.40755773,0.40133163,0.39649308,0.3947538,0.3992447,0.41042337,0.42664897,0.44107404,0.44570756,0.4352744,0.41348264,0.3894261,0.37238154,0.36507425,0.3651105,0.36925843,0.37737432,0.39195624,0.41229287,0.43352017,0.44816586,0.4553902,0.45795202,0.45937195,0.45549384,0.44281664,0.4216356,0.39992237,0.38387263,0.3756318,0.37173426,0.36908284,0.36614326,0.36536643,0.36948773,0.37986767,0.39294648,0.40280882,0.4041693,0.39630255,0.38303366,0.36978233,0.36001644,0.35490224,0.35609648,0.36829594,0.39367905,0.42634866,0.44942746,0.44800866,0.4186958,0.37510312,0.33524117,0.31229272,0.30807358,0.3182952,0.33718923,0.3606347,0.3858185,0.40920153,0.4273289,0.4370582,0.43778265,0.4302539,0.41641453,0.39901403,0.38190305,0.36944988,0.36540234,0.37226415,0.39141086,0.4190373,0.44603738,0.45883706,0.45195815,0.4305167,0.40957025,0.3994416,0.40264556,0.41285166,0.42482325,0.43613663,0.44969925,0.46673,0.48546156,0.49956226,0.50634,0.5066467,0.5036778,0.49500468,0.47704887,0.44810638,0.41401362,0.38215736,0.36011,0.35106683,0.3555328,0.36857355,0.38353905,0.39363328,0.39690772,0.39456925,0.39060652,0.38757935,0.386399,0.3851955,0.38206005,0.376631,0.37090993,0.3689609,0.37435576,0.3897932,0.41192994,0.43299887,0.441897,0.43508455,0.41758934,0.40064,0.39065292,0.3872553,0.3865011,0.38768926,0.3939042,0.40847492,0.42847303,0.44521013,0.44794938,0.43536064,0.4151615,0.40078866,0.39808944,0.40564945,0.41624928,0.4258833,0.43376374,0.44370267,0.45767093,0.4739165,0.4834197,0.4787772,0.45862484,0.43199384,0.4087266,0.3946381,0.3879646,0.38552102,0.38601875,0.39168432,0.40439725,0.42198503,0.4390433,0.45155057,0.46236908,0.475834,0.49113205,0.49750283,0.48466444,0.4513936,0.4092126,0.3731657,0.35432777,0.35395822,0.36628345,0.38124093,0.39256585,0.3983933,0.40204036,0.40557054,0.40987983,0.41335845,0.414633,0.41236246,0.40676498,0.3992788,0.39295194,0.3912945,0.3983272,0.41464257,0.4361612,0.45264754,0.45598042,0.44388017,0.42323053,0.40275717,0.38989994,0.38734972,0.39499143,0.4102169,0.42964265,0.44923353,0.46446714,0.46985778,0.46230116,0.44339487,0.42067674,0.40190372,0.39180812,0.38970304,0.39258483,0.3976613,0.4047604,0.4167305,0.43379852,0.45132956,0.45913613,0.45275983,0.43604752,0.4200407,0.41201434,0.41302574,0.41993916,0.42978385,0.4406133,0.4497739,0.4534959,0.44997144,0.4416654,0.4373906,0.4428726,0.45649138,0.4652928,0.4592633,0.43697748,0.4097074,0.38913473,0.38228083,0.38593397,0.39286968,0.3960928,0.39719322,0.4023682,0.416604,0.4346806,0.44696474,0.44713685,0.43903866,0.43031797,0.4259106,0.42358992,0.418256,0.40773344,0.3967351,0.39556894,0.4090271,0.4309095,0.4431472,0.43368807,0.40341255,0.36780354,0.34120938,0.33148798,0.33755752,0.35577545,0.38119856,0.41055545,0.4389116,0.46051982,0.4670485,0.456843,0.43419182,0.40971732,0.38852963,0.37270653,0.3609761,0.3552499,0.3577635,0.37146738,0.3976507,0.43134788,0.46100295,0.47191218,0.46037987,0.43434152,0.4089228,0.39186144,0.38257968,0.37506387,0.36553133,0.35438013,0.34518537,0.3419895,0.3467559,0.36045268,0.38403723,0.41633654,0.44967267,0.47029892,0.4685934,0.44725645,0.42025292,0.40033937,0.39112327,0.38632038,0.37819993,0.36282477,0.3440825,0.32909444,0.32387042,0.32814303,0.33707774,0.34555256,0.35056007,0.3520536,0.35019043,0.34685972,0.34561837,0.35185158,0.36892223,0.3921512,0.41029263,0.4100269,0.38915935,0.35601282,0.32550374,0.30567035,0.29692268,0.2947516,0.2971014,0.3051931,0.32201704,0.34756783,0.37725675,0.40143907,0.4132148,0.41050896,0.3989177,0.38348415,0.36952162,0.35952112,0.35649756,0.3608046,0.37206843,0.38961276,0.41122165,0.43047404,0.43742144,0.42747048,0.40605223,0.38505578,0.3723149,0.3673208,0.36560214,0.36431634,0.36358976,0.36386427,0.36464712,0.3662224,0.3703848,0.38080856,0.3974093,0.41561618,0.42497036,0.4196289,0.4000974,0.3772633,0.36107805,0.3588337,0.36701775,0.37827244,0.38264266,0.3785785,0.3704418,0.3666298,0.370299,0.3790958,0.38818696,0.39403245,0.39624265,0.393888,0.38638613,0.37285528,0.35726392,0.3471987,0.3513981,0.37051666,0.3950052,0.40904304,0.40413055,0.3845462,0.36433828,0.35438052,0.35671267,0.3657029,0.37642822,0.38786778,0.40315613,0.42232183,0.44164777,0.45288953,0.45303798,0.44249675,0.42653108,0.4067301,0.38605368,0.36657777,0.353936,0.35129687,0.36159003,0.38167325,0.40496984,0.41902888,0.41705632,0.39937684,0.37707254,0.36006227,0.35419407,0.35734642,0.36515918,0.37315634,0.37889636,0.38184962,0.38339344,0.38710913,0.3970118,0.41446316,0.434865,0.4490818,0.4492004,0.43533835,0.4158925,0.40158132,0.39764377,0.40128398,0.4050027,0.4023557,0.3923749,0.37977538,0.37122992,0.3710115,0.37870657,0.3915074,0.40604916,0.4200456,0.4308832,0.43586254,0.4329225,0.42358387,0.41339234,0.40988436,0.4150729,0.42396012,0.4257318,0.41589332,0.39722133,0.38016382,0.37064913,0.36947528,0.37053478,0.36941326,0.36528456,0.36433244,0.37215987,0.39009857,0.40967563,0.4219906,0.42100096,0.41005957,0.39386308,0.3784553,0.36670935,0.36168584,0.36479697,0.37655866,0.3955613,0.416369,0.4304621,0.4292234,0.41263673,0.38955426,0.37234938,0.36635908,0.36829844,0.37094393,0.37039104,0.36751476,0.36631823,0.36847022,0.37319532,0.3762026,0.37648344,0.3741728,0.37343335,0.37608114,0.38545993,0.40022448,0.41742027,0.42841187,0.42943105,0.4198346,0.40658566,0.39423886,0.38928482,0.3930817,0.4053692,0.41753873,0.42231306,0.41525897,0.40127495,0.3863829,0.37665024,0.3721712,0.3706819,0.36686146,0.35788366,0.34250727,0.32209334,0.29839212,0.2752848,0.25724688,0.24637967,0.23868613,0.22731751,0.20874786,0.18811695,0.17462666,0.17517173,0.18809927,0.20695633,0.2243368,0.23659949,0.2418999,0.24010646,0.23164542,0.21913062,0.2056842,0.19421835,0.18577902,0.1803674,0.17660378,0.17225866,0.16466208,0.15290734,0.13864395,0.12535554,0.115457416,0.109301984,0.10591634,0.104955494,0.106713094,0.11085216,0.115664564,0.11877287,0.11881492,0.11622254,0.11348468,0.11419364,0.121304326,0.1349087,0.15152924,0.16602348,0.17445199,0.1759388,0.17207499,0.16560154,0.15898167,0.15390933,0.15093167,0.14981098,0.1497924,0.15012662,0.14999832,0.14874305,0.14600551,0.14211725,0.13799632,0.13462503,0.13243912,0.13105352,0.12984239,0.12903278,0.13007593,0.1348744,0.14369686,0.15478648,0.16499706,0.17186087,0.1738502,0.17030747,0.16126704,0.14809024,0.13381867,0.12189441,0.11495335,0.11349047,0.11649711,0.12164843,0.12664355,0.12955844,0.12969388,0.12697504,0.121744104,0.114488654,0.10650948,0.1000806,0.09772558,0.100923695,0.10886326,0.118941724,0.12785089,0.1337348,0.13659252,0.13792835,0.13902502,0.14020574,0.14072771,0.13927454,0.13440003,0.12545617,0.11358697,0.101960205,0.09392128,0.090907596,0.091627724,0.094169445,0.09809068,0.1053639,0.11885808,0.14162533,0.17641158,0.22378123,0.2790397,0.33002636,0.36310908,0.3699548,0.35336474,0.32279825,0.28914234,0.25953555,0.2368567,0.22059573,0.20816211,0.19722068,0.18718833,0.18154414,0.18720734,0.21132798,0.2529725,0.3007981,0.33788344,0.35634637,0.36106467,0.36508706,0.3760954,0.39394072,0.41304183,0.42963746,0.44263563,0.45395145,0.46301544,0.4669657,0.45969293,0.44118145,0.4165728,0.3960637,0.38492933,0.3847277,0.3927902,0.40728983,0.42589584,0.44710287,0.46668053,0.4787562,0.47643116,0.4600414,0.43724906,0.42030418,0.41541597,0.42128298,0.4311341,0.4399121,0.44654202,0.4531479,0.4602426,0.4636691,0.4574313,0.44071445,0.42153838,0.40829778,0.40141332,0.39182493,0.37451005,0.35437703,0.34352064,0.34788957,0.36312485,0.37884536,0.38726938,0.38823545,0.38672832,0.3886286,0.39546347,0.4048704,0.4124039,0.41517028,0.4136349,0.4117732,0.41510543,0.4243331,0.43488428,0.4391236,0.43739513,0.43440333,0.4354628,0.4360019,0.43128073,0.4189973,0.40477142,0.39138567,0.38086435,0.3726692,0.37011078,0.37541282,0.38998982,0.40964416,0.4278495,0.43622848,0.4325384,0.41901955,0.40316963,0.38887107,0.3795143,0.3753303,0.3784766,0.38829195,0.40300325,0.41693822,0.42466024,0.42309454,0.4161878,0.4124038,0.4177843,0.42989066,0.43896878,0.43802753,0.4272513,0.41377902,0.4031099,0.39712715,0.392979,0.3884288,0.38288936,0.38079873,0.386444,0.40295947,0.42731097,0.45547053,0.4807063,0.4976859,0.50028384,0.48824295,0.46529463,0.44032797,0.4200674,0.4104767,0.41114464,0.41914475,0.42702797,0.43323216,0.43858352,0.44661233,0.4541546,0.45699307,0.452395,0.44256958,0.43075195,0.41939378,0.41126645,0.40797958,0.4081758,0.40705094,0.40183142,0.39484844,0.39144054,0.39427984,0.40165567,0.40965524,0.4161441,0.42181584,0.42917135,0.4378816,0.44335473,0.43853402,0.42232323,0.40066823,0.38354826,0.3749551,0.37362835,0.37473246,0.37787938,0.38465884,0.39912376,0.41843092,0.43518826,0.4369272,0.42093492,0.39336297,0.36862335,0.35410473,0.34998322,0.3501998,0.35136905,0.35372397,0.36034206,0.37276474,0.38782072,0.39929053,0.40329728,0.40436187,0.41034326,0.42526388,0.443048,0.45576707,0.45954168,0.45787784,0.45471308,0.4508758,0.44379926,0.43136194,0.41534016,0.40149745,0.39595369,0.4008405,0.411738,0.4210002,0.42092097,0.40857613,0.38649154,0.36286876,0.34690943,0.34596118,0.36146578,0.39084062,0.42446133,0.45128822,0.46027568,0.4517541,0.43326977,0.41688332,0.40683994,0.4015182,0.3952861,0.38631776,0.37665987,0.37268257,0.37837648,0.39357686,0.4103684,0.42181543,0.4228984,0.41579127,0.40284178,0.3890988,0.37864986,0.3763106,0.38341618,0.3985233,0.4179153,0.43652654,0.44787624,0.4461064,0.43027344,0.4063574,0.38372234,0.36975458,0.36734596,0.3753293,0.39090812,0.40933356,0.42763543,0.44227073,0.45268282,0.4569615,0.45817444,0.45825908,0.45942545,0.45664835,0.44631505,0.42796955,0.40883747,0.3956046,0.39202395,0.3953409,0.40061963,0.40216732,0.3990177,0.39343104,0.38977996,0.38899696,0.38958254,0.38831675,0.38415775,0.3781058,0.37423906,0.376097,0.3848251,0.39728078,0.4100919,0.4217904,0.4321802,0.43903264,0.43935046,0.43392122,0.42914602,0.4317756,0.4430478,0.45743215,0.4684296,0.47322476,0.4741714,0.47467673,0.47448078,0.4692602,0.45483974,0.43414995,0.41485357,0.40398812,0.4008299,0.40140104,0.4024552,0.40553698,0.41244245,0.42389,0.4358743,0.44289824,0.438522,0.42298964,0.40132746,0.38296482,0.37308154,0.37372386,0.38270536,0.3976374,0.41489825,0.43120086,0.44191352,0.44248673,0.4302062,0.4103019,0.3941172,0.39236775,0.40450266,0.42079926,0.43056569,0.43156335,0.42796588,0.4254091,0.42498362,0.42505038,0.42302385,0.42009556,0.41930914,0.42360651,0.431679,0.43974066,0.44431177,0.4446702,0.44199535,0.4373157,0.4307845,0.4221691,0.41357028,0.4096465,0.41586664,0.4308108,0.44555497,0.44790444,0.43541232,0.41623017,0.4026828,0.39963642,0.4040985,0.4114331,0.42032954,0.43171474,0.44479692,0.45498195,0.45797443,0.4516432,0.4412426,0.4318851,0.42837334,0.4281297,0.42966178,0.43142018,0.43576658,0.4427661,0.45051488,0.45453212,0.4512663,0.44129393,0.42998037,0.42534843,0.43052855,0.44157243,0.44900742,0.44787088,0.4406056,0.43539742,0.43686247,0.44242594,0.44487622,0.44014654,0.4324578,0.43089107,0.4397396,0.4525771,0.45586047,0.44256583,0.4175785,0.395268,0.38598314,0.3916116,0.40487722,0.41879055,0.42965376,0.44080833,0.4538529,0.46778235,0.4749601,0.47334838,0.4643773,0.45617485,0.45047513,0.4478502,0.4437447,0.4392697,0.4357307,0.43915257,0.4490852,0.4609911,0.46345973,0.45237768,0.43162128,0.4138644,0.40723753,0.4135504,0.42726794,0.4431632,0.4576858,0.47037387,0.48071134,0.48638844,0.4838709,0.47138366,0.45254195,0.4332154,0.41772875,0.40513933,0.39308703,0.3802972,0.3694029,0.36487183,0.37284303,0.39411208,0.42209998,0.4417516,0.4434706,0.4287697,0.41093993,0.40114605,0.40268826,0.411132,0.4218249,0.4334375,0.4483712,0.46752468,0.48869812,0.5045368,0.5112945,0.5080477,0.499584,0.4870088,0.4721518,0.45598793,0.44375944,0.43861398,0.4408066,0.4448171,0.44476184,0.4371353,0.42530084,0.4153284,0.41224086,0.41516194,0.4209975,0.4274726,0.43488964,0.44239593,0.4470093,0.44560298,0.43886805,0.43170938,0.43018648,0.43821767,0.45353535,0.46824932,0.47135758,0.45883775,0.43675658,0.4186655,0.41338083,0.4199905,0.42992786,0.43637845,0.43903318,0.44323862,0.4512923,0.45959067,0.45919824,0.4481411,0.4304426,0.41592345,0.40700302,0.40378007,0.40270412,0.40524134,0.41205272,0.42471132,0.44036976,0.45406258,0.458896,0.45260683,0.43924102,0.42733935,0.42284444,0.42621484,0.43388698,0.4419259,0.4489526,0.4556097,0.46468684,0.47567317,0.4858395,0.4897723,0.48839173,0.48428068,0.48009253,0.4710733,0.4547517,0.43356833,0.41648862,0.40831244,0.40836868,0.41118407,0.41431823,0.41814503,0.42709756,0.4414061,0.45671546,0.46316674,0.45745376,0.4445902,0.43536544,0.4345441,0.43899992,0.44213882,0.44160423,0.4406679,0.44490695,0.45491496,0.46541262,0.46708146,0.4571544,0.43960235,0.42435297,0.41700467,0.4187965,0.4259363,0.43539163,0.44558755,0.45795092,0.47263125,0.48575354,0.4889218,0.4769899,0.45411122,0.43250784,0.4226862,0.4263816,0.43812212,0.451686,0.46490827,0.4786369,0.49425387,0.50876665,0.5160272,0.5088875,0.48815933,0.46121466,0.43921152,0.42719015,0.42479536,0.42736545,0.4318143,0.4369892,0.4450235,0.45679256,0.4706327,0.48041487,0.48320332,0.47895965,0.47125602,0.45938668,0.44372416,0.42601326,0.41317782,0.40916288,0.4150755,0.4270353,0.44153258,0.45474723,0.46691582,0.47863746,0.48958245,0.49332032,0.48473307,0.46487048,0.44431522,0.43265703,0.43256852,0.43701565,0.43795958,0.43187907,0.42410293,0.42294058,0.43131435,0.4422984,0.44505855,0.43699786,0.42523256,0.4206573,0.42728555,0.44349396,0.4618475,0.47494605,0.47538507,0.46602514,0.45535156,0.45441648,0.4624401,0.47307792,0.47692576,0.47190437,0.45860818,0.44226325,0.42762396,0.4200054,0.4207358,0.42895678,0.4404298,0.45126832,0.45830223,0.46310642,0.46787336,0.4743017,0.4789889,0.4796522,0.4752344,0.4690336,0.4629641,0.45907632,0.45669842,0.45576218,0.45572153,0.45981476,0.4729053,0.49813548,0.5322993,0.56484795,0.5848747,0.5817423,0.5536776,0.5052407,0.4541789,0.4177526,0.407711,0.4192449,0.44125113,0.46003684,0.46798512,0.46194434,0.44823933,0.43769372,0.44107738,0.45930335,0.48658133,0.51205206,0.52777624,0.52868056,0.51892084,0.50554156,0.49383703,0.48041597,0.4614925,0.439775,0.42390156,0.41867593,0.41992328,0.41994545,0.41594854,0.41235045,0.41618195,0.4293553,0.44683182,0.45880327,0.45927474,0.44868144,0.4335557,0.41934192,0.4092239,0.40340388,0.40227914,0.40601876,0.41528013,0.43043277,0.44906238,0.46565148,0.47281542,0.46881768,0.4582915,0.4500393,0.4484236,0.45141792,0.45343503,0.45171514,0.44935942,0.451833,0.46068397,0.47100663,0.4752991,0.47216424,0.46482196,0.45763704,0.4480786,0.43476847,0.41976085,0.41128168,0.41249156,0.42068586,0.42794052,0.42942002,0.42357597,0.41372666,0.40454936,0.40139356,0.40609184,0.4173778,0.43143818,0.4456081,0.4588126,0.47210526,0.4841776,0.4911864,0.48706284,0.47250554,0.45567572,0.44764408,0.45035657,0.4555455,0.45334184,0.44205794,0.42819884,0.41843092,0.4147857,0.41566226,0.42034796,0.42987856,0.44567052,0.46499357,0.48155487,0.48713854,0.48056653,0.46704447,0.45684314,0.4541831,0.45778242,0.46154675,0.46295974,0.46338168,0.4671798,0.47514296,0.48330653,0.48474148,0.47749838,0.46568844,0.4572053,0.45655107,0.4633505,0.47375974,0.48384288,0.49182448,0.49809918,0.5029201,0.5049329,0.50147754,0.4933897,0.4844911,0.4785786,0.4740547,0.4669433,0.45667076,0.44885412,0.44924268,0.4573212,0.46477357,0.46337327,0.45137763,0.43689063,0.43132368,0.4408724,0.46110842,0.47968164,0.4866626,0.48002934,0.46645072,0.45382407,0.44708434,0.4461625,0.44923034,0.4553249,0.4658072,0.4795848,0.49184838,0.49387765,0.4832059,0.46421996,0.44761932,0.43953887,0.44100645,0.44818297,0.4584854,0.47057423,0.48406875,0.4952291,0.49851725,0.4884586,0.4683673,0.44733933,0.43698797,0.4397752,0.4521135,0.46693182,0.48129806,0.4948772,0.50845903,0.5214223,0.52969533,0.5278088,0.51148397,0.4841741,0.45451856,0.43277928,0.42364037,0.4277445,0.4423475,0.46419677,0.48851958,0.51076156,0.5256707,0.52962065,0.52154607,0.50706244,0.49325335,0.48387942,0.47440395,0.46058866,0.4434791,0.43082392,0.42767358,0.43352452,0.4421854,0.44840086,0.44940498,0.44714475,0.44493315,0.44626462,0.45172688,0.4601306,0.468858,0.47631335,0.48241648,0.48911235,0.49601993,0.4998043,0.49466956,0.48154297,0.46665967,0.4585935,0.4572657,0.45794925,0.45560765,0.45178857,0.45006725,0.45241627,0.45713708,0.4618312,0.4660016,0.47163045,0.48122084,0.49451765,0.5074446,0.51435965,0.5120103,0.5011618,0.48514676,0.4684269,0.45501053,0.44785607,0.44684866,0.4492776,0.45060977,0.44702664,0.43839145,0.4299282,0.431167,0.44633532,0.47052082,0.4898506,0.49629524,0.49121225,0.48448133,0.4815462,0.48112723,0.47687352,0.46560335,0.45016572,0.43922547,0.43946064,0.45073864,0.46372232,0.46959913,0.46534196,0.45720533,0.45146418,0.4504477,0.44892362,0.44205737,0.42970636,0.4207716,0.42474106,0.44390032,0.46874914,0.4863752,0.49055362,0.4849889,0.47791407,0.47506273,0.4772044,0.48144087,0.48377714,0.48288026,0.48136404,0.48218337,0.48370203,0.47804216,0.45972553,0.42993364,0.39796484,0.37211677,0.35713252,0.35280263,0.3577337,0.37031695,0.38886333,0.40984142,0.42776474,0.43659672,0.43582332,0.42935714,0.42391458,0.41996384,0.41471818,0.40352932,0.3877398,0.37259194,0.36694324,0.37636176,0.40031338,0.42934868,0.45202193,0.46147585,0.46071658,0.45715156,0.45696184,0.46013296,0.46358708,0.46439955,0.46367785,0.46463922,0.46869838,0.47314668,0.47362486,0.47091737,0.4688653,0.47071573,0.47224036,0.46918496,0.46066055,0.4526411,0.44886827,0.4489403,0.4468812,0.4389688,0.425349,0.41246343,0.40602243,0.4086785,0.41655576,0.4250339,0.4304551,0.43337476,0.43567297,0.4406729,0.44916114,0.46064284,0.47195098,0.48300877,0.492393,0.4981576,0.49232233,0.47115746,0.43720397,0.40338877,0.38191774,0.3802205,0.39636862,0.42446467,0.45694938,0.4886814,0.5152423,0.53201586,0.5340625,0.5201482,0.49596587,0.47153652,0.45545503,0.450398,0.45382157,0.46023116,0.46440366,0.464049,0.46248412,0.46422383,0.47108242,0.47811696,0.48118272,0.4798263,0.47875646,0.4807965,0.48574296,0.4918686,0.49943653,0.51020783,0.52452326,0.53799075,0.5433888,0.5352876,0.51712877,0.49791324,0.48592559,0.48152113,0.4823455,0.4881465,0.5013574,0.51965016,0.53428227,0.53447723,0.51682025,0.48688623,0.4585733,0.44338417,0.44595882,0.4578553,0.46836814,0.4702042,0.46756217,0.46668586,0.47141436,0.47769785,0.48050156,0.47767052,0.4729681,0.47219193,0.47694322,0.48237804,0.47888315,0.46208432,0.4356284,0.41065475,0.39595088,0.3943406,0.40232003,0.41567466,0.43254325,0.45371547,0.4768699,0.49530149,0.4991468,0.4869829,0.4652064,0.44630685,0.43561754,0.43356398,0.43545255,0.44024253,0.44787908,0.4609902,0.4775052,0.49213958,0.49588612,0.48666933,0.46923932,0.4539194,0.44621357,0.44626084,0.4499571,0.45421436,0.458403,0.46417496,0.4729222,0.48109624,0.4823321,0.47224918,0.45808077,0.45025042,0.45532283,0.46489966,0.46967807,0.4654231,0.45989248,0.45939162,0.4647729,0.46966884,0.46956706,0.46529877,0.46252993,0.46587196,0.47567555,0.4886712,0.50147414,0.5122989,0.52108747,0.5282015,0.53425616,0.5370031,0.53313786,0.5190523,0.49936262,0.4815373,0.47355637,0.47257414,0.47323254,0.4693297,0.46298277,0.45767888,0.45877835,0.4671189,0.48150206,0.49761033,0.5122048,0.5221456,0.5240612,0.5136494,0.49068388,0.46121994,0.4364818,0.42460135,0.42798117,0.44248965,0.4629388,0.483636,0.50026625,0.5084488,0.5065568,0.49739972,0.48951772,0.49172315,0.5050395,0.5205839,0.526243,0.5192115,0.5069389,0.50030476,0.5016639,0.5047643,0.5005513,0.48678926,0.46910477,0.4577032,0.45674005,0.46300507,0.46685752,0.46463525,0.45820296,0.4543793,0.4546235,0.45705643,0.45692733,0.45384622,0.45043692,0.45323753,0.46492755,0.48297396,0.4977305,0.50221807,0.49545673,0.48441008,0.4749452,0.46939242,0.4647449,0.45895875,0.45322493,0.45264077,0.46157572,0.4766251,0.4886333,0.48710218,0.47309485,0.45506802,0.4449843,0.44568184,0.454322,0.46464762,0.4746858,0.48552766,0.500554,0.51860374,0.5341361,0.53784114,0.52679974,0.5039547,0.47774804,0.453223,0.43359578,0.41936016,0.41221145,0.4132036,0.4242276,0.4433079,0.46457016,0.47727314,0.4762311,0.46423864,0.45264018,0.4495959,0.4570357,0.47006974,0.4835569,0.49459124,0.5030692,0.51036656,0.5161681,0.5189726,0.516549,0.510881,0.50444156,0.49813417,0.4869649,0.4678353,0.4429288,0.4211987,0.4099097,0.41020572,0.41702637,0.42397824,0.42793033,0.42901054,0.42891142,0.4281784,0.42683885,0.42582473,0.42696038,0.43249455,0.44273305,0.45762202,0.4737179,0.48782167,0.49522725,0.49780095,0.497311,0.49677718,0.49131727,0.47885084,0.45916727,0.44018736,0.42728528,0.42435575,0.42933443,0.4402473,0.45367393,0.4691814,0.48556948,0.5014222,0.5106765,0.5086045,0.4931285,0.46988282,0.44563997,0.42737174,0.41702154,0.41472474,0.4187056,0.42830753,0.44310832,0.45999202,0.47317326,0.4758277,0.46774974,0.45375645,0.44163606,0.43532073,0.43622455,0.44365183,0.45658672,0.4733112,0.49200737,0.5092037,0.52019334,0.5209589,0.51453006,0.50765204,0.50478673,0.5006214,0.488282,0.4663366,0.44312325,0.42719868,0.422731,0.42616448,0.43223605,0.43606818,0.43755618,0.43844166,0.44128704,0.44537297,0.44830832,0.4466867,0.43957913,0.42928493,0.4214907,0.4220847,0.4335749,0.45388412,0.47791028,0.50088567,0.51841164,0.5268771,0.52391696,0.51201427,0.49762473,0.48758936,0.48379454,0.48380247,0.4843841,0.48580036,0.49095893,0.50242877,0.51680756,0.52583045,0.5199235,0.49805012,0.4669435,0.43834388,0.4189966,0.4110712,0.41216612,0.4206296,0.43459913,0.45351803,0.47384033,0.49109784,0.49918523,0.4989867,0.49496603,0.49458024,0.49821004,0.5034333,0.50605595,0.506841,0.5080927,0.5132766,0.52060395,0.5249846,0.51846415,0.50167847,0.48134443,0.46749076,0.4600599,0.4541669,0.44497868,0.43598554,0.43207392,0.43561432,0.44298837,0.45004812,0.45400926,0.45664176,0.46107566,0.46982753,0.4816916,0.4936312,0.5035091,0.51111245,0.5178756,0.52481407,0.5326187,0.5386572,0.5390899,0.53063494,0.51733416,0.50507367,0.49791905,0.49099705,0.48044977,0.46559027,0.45300984,0.44668093,0.44873407,0.45686707,0.46948302,0.48388788,0.49880728,0.51102835,0.51644516,0.5093885,0.48997748,0.4646906,0.44538963,0.43947676,0.44777977,0.4642934,0.4824824,0.49657297,0.50325555,0.50008416,0.48837197,0.4736028,0.4654806,0.4704008,0.48526132,0.4982561,0.4973257,0.48174378,0.45974383,0.44326416,0.43625548,0.43674958,0.43863782,0.4406062,0.44586948,0.4608947,0.48466733,0.50866675,0.519711,0.5148922,0.50041366,0.48801634,0.48191595,0.48038355,0.47806314,0.47370997,0.46969697,0.47160855,0.47977173,0.48942283,0.49022374,0.47974482,0.46082416,0.4433302,0.4310888,0.42720905,0.4284273,0.43203512,0.43081334,0.42118287,0.4000775,0.3685541,0.3276727,0.28278348,0.2409808,0.20937468,0.18983312,0.17997687,0.17559431,0.17339809,0.17134541,0.16907115,0.16822343,0.17146794,0.17970276,0.1902839,0.19817655,0.19923191,0.19254214,0.18065791,0.16789256,0.15821397,0.15339635,0.1528182,0.15456595,0.15683345,0.15854591,0.15894406,0.1576591,0.15443684,0.14947398,0.14312275,0.13615847,0.12946005,0.123683244,0.11897246,0.11506096,0.111662686,0.10844973,0.10576642,0.10491756,0.10876649,0.1190811,0.1350895,0.15178074,0.16411667,0.16887087,0.16704516,0.1602587,0.15007733,0.13648245,0.12039477,0.1036929,0.08969312,0.08091416,0.07840263,0.08127976,0.08808946,0.0970906,0.10670457,0.115495026,0.12350068,0.13165961,0.14106669,0.15092699,0.15981208,0.16679363,0.17264028,0.17833273,0.18394937,0.18865444,0.19149435,0.19205512,0.19012557,0.18599851,0.18045203,0.17501944,0.17103684,0.16917579,0.16902947,0.16977103,0.17052114,0.17069463,0.17002994,0.16867407,0.16715169,0.16584884,0.16471109,0.16337243,0.16198315,0.16126038,0.16151163,0.16178374,0.160459,0.1573537,0.15401517,0.15271848,0.15410633,0.15754049,0.16129266,0.16389121,0.16385166,0.16121943,0.15712892,0.15344137,0.15053393,0.14833973,0.14726761,0.1492734,0.15559298,0.16531242,0.17520101,0.18188046,0.1836815,0.18145387,0.17778516,0.1750363,0.17358392,0.17158788,0.16710536,0.16004324,0.15271159,0.14761733,0.14604837,0.14696614,0.14854382,0.1488185,0.14758481,0.14583693,0.14537777,0.14676495,0.14948742,0.15224735,0.15431686,0.15526958,0.15524712,0.1543554,0.15275918,0.14983259,0.14453246,0.136115,0.12561056,0.11599181,0.11094478,0.11269471,0.12027251,0.12992555,0.13727738,0.14027812,0.13984038,0.13827214,0.13664514,0.13420084,0.12954885,0.12255922,0.11456707,0.10764777,0.10297472,0.10057286,0.0992215,0.0979712,0.09652292,0.095701315,0.09609973,0.097714126,0.09955629,0.10062001,0.10009692,0.09801251,0.09498713,0.092358,0.09123176,0.092339,0.09551874,0.10021773,0.10525217,0.10941269,0.1118174,0.11266222,0.112989336,0.11399343,0.11629081,0.11974842,0.12393653,0.12849791,0.13328272,0.13811225,0.14251243,0.14564873,0.1466058,0.1448502,0.14076267,0.13563408,0.13140218,0.12964869,0.13085665,0.13399197,0.13722898,0.13891234,0.13820738,0.13499644,0.1295116,0.12225186,0.11406029,0.1063182,0.10056472,0.09793904,0.098412834,0.100922376,0.10403054,0.10680985,0.1091699,0.111607365,0.11493423,0.11960543,0.12544946,0.13134076,0.13602223,0.13858515,0.1388576,0.13675071,0.1319964,0.12451177,0.11526408,0.106798254,0.10227021,0.103862494,0.11128429,0.12202644,0.13292976,0.14179869,0.14797205,0.15147471,0.15251113,0.15111071,0.14780837,0.14358966,0.14040226,0.1402328,0.14472303,0.15360741,0.16563518,0.17860198,0.19095291,0.2007081,0.20688607,0.20898877,0.20812376,0.20487595,0.19952612,0.19177602,0.18267243,0.17429264,0.16966672,0.17093068,0.17878419,0.19129747,0.2054324,0.21848468,0.23169895,0.24976003,0.27960387,0.32132518,0.36709467,0.4008094,0.41369367,0.4064337,0.3904556,0.372878,0.35521057,0.3340688,0.30925286,0.28415218,0.26286438,0.24767454,0.2384562,0.23599096,0.24293382,0.26334015,0.29626048,0.3334334,0.36179468,0.37433985,0.372988,0.3650352,0.35300037,0.3349788,0.30921197,0.28202584,0.26505268,0.26995018,0.29683214,0.33416772,0.36229107,0.36942124,0.3557695,0.33260703,0.30942407,0.28963634,0.2712687,0.25286803,0.2363302,0.22575898,0.22493184,0.23445292,0.25146762,0.2710722,0.2890606,0.3050941,0.32263526,0.34756485,0.37929836,0.40995204,0.42479578,0.41826203,0.3945508,0.36695814,0.3422949,0.32297257,0.3088589,0.3039466,0.310449,0.3255054,0.34157515,0.3528367,0.35992384,0.36857525,0.38575375,0.41022542,0.43287313,0.43945047,0.4269786,0.40287808,0.38175252,0.36906326,0.36398295,0.36185947,0.3617951,0.36335382,0.3656459,0.36734596,0.36902177,0.37382928,0.38563046,0.4034617,0.42022374,0.42444077,0.41319993,0.392593,0.37531674,0.36590922,0.36321333,0.3626095,0.36513832,0.37244287,0.3876703,0.40777585,0.42820096,0.4384953,0.43514404,0.42009333,0.4041525,0.39433303,0.39211598,0.3947487,0.39972842,0.40829054,0.42037442,0.43580976,0.4488462,0.45403543,0.44630134,0.4284728,0.40678453,0.39038244,0.38522652,0.3953892,0.41719034,0.44039667,0.45040596,0.44074965,0.41501,0.3842734,0.35705554,0.33883163,0.3317966,0.33668646,0.3505237,0.36821556,0.38476542,0.39861462,0.41155076,0.42747846,0.4461442,0.4615569,0.4636364,0.4508817,0.43261746,0.4244572,0.4329983,0.4538002,0.4761976,0.49318597,0.5019812,0.5027013,0.49593088,0.4850073,0.47500226,0.47193646,0.47622684,0.4819921,0.47785723,0.45764014,0.42491984,0.39215192,0.3706026,0.36342993,0.3666056,0.37262356,0.3779409,0.3833375,0.3958151,0.41795066,0.44569013,0.46573246,0.4708921,0.46288535,0.453813,0.45188963,0.45913562,0.46910086,0.4751943,0.4735038,0.46717095,0.46184948,0.4615765,0.4643936,0.46590963,0.4633194,0.45818624,0.45478854,0.45764863,0.467193,0.4772445,0.4772459,0.46216676,0.4390891,0.42322826,0.4243646,0.4400363,0.45997587,0.47633287,0.48684445,0.49248412,0.49412492,0.4926087,0.4892892,0.4862273,0.48491302,0.48595643,0.48850748,0.4929634,0.50163573,0.5184218,0.54395205,0.57412815,0.60139185,0.6202376,0.62964374,0.633514,0.6365996,0.6417933,0.6478258,0.6507719,0.64568585,0.6281957,0.5968878,0.555172,0.51335543,0.48305094,0.47175685,0.47685996,0.49072114,0.5048734,0.5165457,0.5255298,0.53388244,0.5397909,0.54028606,0.5304628,0.51198614,0.49082246,0.47678062,0.47358632,0.47946677,0.48798704,0.4956552,0.5024224,0.51112694,0.519695,0.52055794,0.502654,0.46559408,0.42160544,0.39171937,0.38821828,0.41037512,0.44561222,0.4790871,0.49893644,0.5009298,0.49137047,0.48171577,0.48124376,0.48886454,0.4983447,0.50496626,0.51048094,0.51922417,0.53193945,0.54545367,0.5553496,0.56133324,0.56612396,0.57011265,0.5682323,0.551073,0.5170021,0.47352663,0.43685403,0.41624808,0.41410086,0.42302895,0.43740657,0.45034698,0.46035802,0.46524882,0.4680406,0.47019896,0.47577295,0.48326322,0.48903474,0.4843053,0.46587238,0.4372437,0.41025808,0.3952208,0.39610887,0.40910292,0.42615008,0.44199958,0.45537636,0.47018573,0.48501936,0.49397767,0.4872065,0.46613374,0.44087753,0.4261196,0.4263943,0.4379187,0.4528624,0.46622536,0.47669712,0.48449767,0.4912015,0.49664438,0.49963856,0.4979229,0.49128604,0.48251954,0.4758428,0.47561297,0.48026764,0.48299912,0.47181213,0.44287816,0.40199518,0.36502102,0.343196,0.34127626,0.35480297,0.3774453,0.4009234,0.42021084,0.43248418,0.43958223,0.44407547,0.45071113,0.46121714,0.47368702,0.47995988,0.47486532,0.46007228,0.44538963,0.43728498,0.43698323,0.43943086,0.442359,0.44371152,0.44465265,0.44498506,0.44709587,0.4523544,0.46260682,0.47686002,0.490918,0.4966177,0.48742855,0.4649855,0.44073507,0.42608085,0.4234511,0.42495033,0.42291054,0.4177599,0.41654435,0.4270325,0.44760942,0.4705998,0.48291293,0.48100713,0.4686279,0.45728242,0.45199084,0.4528816,0.45518866,0.45811185,0.46176776,0.4693168,0.4782126,0.48493192,0.480327,0.4641923,0.44056204,0.4226954,0.4176869,0.42852584,0.44813052,0.4666283,0.47320986,0.46512267,0.44839418,0.43389598,0.42724124,0.42671454,0.4268186,0.42541924,0.42435145,0.4263856,0.43214056,0.43927443,0.4466387,0.45484808,0.46757016,0.48413888,0.4998568,0.5063832,0.50276905,0.49532673,0.4943355,0.502985,0.51725,0.530307,0.53947186,0.5458041,0.5510142,0.55447453,0.5550874,0.5526845,0.5494896,0.54571223,0.5401491,0.5299404,0.51734805,0.50692624,0.50419635,0.5097736,0.52192163,0.5372897,0.55309063,0.5667756,0.5771098,0.58334434,0.5841606,0.57729095,0.56292105,0.5459075,0.53420854,0.53313386,0.541967,0.5550156,0.5665919,0.5739314,0.57794076,0.5802998,0.58183974,0.58175653,0.5793871,0.5749609,0.56943846,0.56388015,0.5591293,0.5557223,0.551398,0.542635,0.5262385,0.5062466,0.49011815,0.48700348,0.49888793,0.524103,0.5560362,0.58852273,0.61459225,0.6301353,0.63413346,0.6296107,0.62145454,0.6135989,0.6054266,0.5921902,0.5687218,0.53751975,0.50817543,0.49258718,0.49464783,0.5104985,0.5317243,0.551887,0.56718844,0.5765233,0.5803225,0.5797017,0.57595843,0.5698977,0.56192017,0.54970574,0.5297987,0.50078434,0.4698722,0.44930068,0.44848093,0.46479154,0.4875909,0.5060067,0.5171295,0.52294296,0.5281566,0.5325387,0.5344941,0.529574,0.52052826,0.5125877,0.51328415,0.5222616,0.53505677,0.54520357,0.55066484,0.552514,0.5536434,0.5535209,0.5478451,0.5299113,0.49987587,0.46630707,0.443714,0.44066396,0.45675957,0.48123312,0.50143135,0.506074,0.49478152,0.47522736,0.46172532,0.461974,0.47632214,0.4959376,0.5133753,0.5242018,0.5314054,0.5373555,0.54331756,0.546633,0.54822034,0.55060744,0.5541125,0.5530131,0.53987974,0.51600605,0.48913527,0.46956035,0.459705,0.45859325,0.4625356,0.47097465,0.48351917,0.500787,0.51752084,0.52565724,0.5162301,0.494213,0.47249973,0.4658163,0.47264722,0.48271433,0.4844395,0.47772613,0.4697645,0.46959317,0.47832456,0.48929676,0.49100062,0.48069695,0.46438158,0.4553055,0.4582627,0.47165552,0.48679113,0.4998583,0.5087869,0.51705974,0.5250599,0.53232217,0.53408104,0.53000456,0.5238881,0.5206149,0.51906943,0.51236975,0.4987595,0.483179,0.47557414,0.47788784,0.48616847,0.4919308,0.4913849,0.48535547,0.47969198,0.480113,0.48857856,0.5016511,0.51383775,0.5209603,0.5235901,0.52434415,0.5281875,0.53412795,0.5390384,0.53577304,0.52748185,0.51904064,0.5168851,0.51424223,0.50520664,0.48671284,0.46754625,0.4553587,0.4544834,0.46219814,0.47460523,0.48883477,0.504324,0.51928735,0.5295015,0.5287695,0.5180613,0.50381964,0.49636504,0.49687085,0.5014209,0.502989,0.5012624,0.50045735,0.50640106,0.5206986,0.536607,0.54334706,0.5324765,0.50725806,0.47880688,0.45803654,0.44860747,0.44794044,0.4537917,0.46448174,0.48026398,0.49964795,0.51932293,0.5335295,0.5368727,0.5316263,0.52379423,0.51906544,0.5131153,0.5006251,0.48070386,0.46099105,0.44890216,0.4465263,0.45049086,0.45724353,0.4662454,0.48101416,0.5021874,0.5247819,0.53721523,0.533287,0.51694256,0.49993458,0.490854,0.4890783,0.49030623,0.4912624,0.49490523,0.50460595,0.5214278,0.5399012,0.5520513,0.5539548,0.5497245,0.5488685,0.55694336,0.57179767,0.5851198,0.5903797,0.5869923,0.58070165,0.5785707,0.582297,0.5875952,0.587559,0.58203834,0.57514006,0.5726573,0.57425886,0.5785082,0.58342487,0.5896836,0.59657973,0.6032811,0.60658485,0.60345966,0.5922217,0.57871145,0.57280874,0.581791,0.6013184,0.6204955,0.6304632,0.6324094,0.6321514,0.6342623,0.6342478,0.62507725,0.60165,0.5715137,0.54536086,0.5314565,0.5255484,0.5224447,0.5207023,0.5259025,0.5398211,0.5582972,0.5721666,0.5767038,0.57312673,0.5697129,0.5718625,0.5792301,0.583857,0.5811713,0.5742839,0.5723017,0.58069986,0.59615654,0.61014766,0.6130335,0.6011021,0.57618445,0.54922724,0.5294351,0.5213055,0.51821166,0.51618266,0.5151491,0.5215717,0.53617924,0.55621314,0.5759968,0.5940314,0.6098289,0.6234017,0.63125277,0.63027626,0.6186579,0.6019881,0.58745295,0.58245486,0.58652514,0.597267,0.6104228,0.6252412,0.6395788,0.65065545,0.6532394,0.64601225,0.6318374,0.61855,0.60932416,0.60190177,0.5894223,0.57155955,0.5553257,0.5517383,0.56641746,0.5960143,0.6292155,0.6511553,0.6530568,0.6379892,0.6220205,0.6181688,0.628254,0.6413557,0.6520919,0.66380244,0.6849552,0.71406454,0.7410681,0.7531678,0.74663466,0.7262976,0.704165,0.6865795,0.6742831,0.66046077,0.6457396,0.6334247,0.6295162,0.63024527,0.6312775,0.628879,0.6251361,0.6186171,0.6031522,0.5677919,0.5059178,0.42139497,0.33059624,0.25384542,0.20415401,0.18082124,0.17387272,0.17262751,0.17150925,0.16957398,0.16759433,0.1658925,0.16407269,0.16166562,0.15848456,0.15474229,0.15076979,0.14696616,0.14375858,0.14133711,0.1393607,0.13643414,0.13175257,0.1257575,0.12128369,0.11999155,0.12181268,0.123838834,0.12438756,0.12310925,0.12162138,0.121257156,0.12311631,0.12754075,0.13411176,0.1417879,0.14951801,0.15689051,0.1637373,0.1696238,0.17345764,0.17383939,0.16975237,0.16209604,0.15434803,0.15146808,0.15635292,0.16776347,0.18128152,0.19271106,0.20018788,0.20387064,0.20476885,0.2039594,0.20234317,0.20028722,0.19733316,0.19266891,0.18578501,0.17737405,0.16910762,0.16298926,0.15997358,0.15973556,0.16112463,0.16335115,0.16625561,0.17006262,0.17492323,0.18073352,0.18710892,0.19307195,0.19717681,0.19783086,0.19426216,0.18669803,0.1761294,0.16306587,0.14764075,0.13059486,0.11513504,0.10569811,0.10475103,0.11005598,0.11655951,0.12048489,0.12125096,0.1202491,0.11889112,0.11888801,0.12176373,0.12799773,0.13556886,0.14190155,0.14552747,0.14691474,0.1463805,0.14349562,0.13789885,0.1313273,0.12723435,0.12862645,0.13507956,0.14305602,0.14788,0.14730813,0.14138663,0.13244455,0.12282891,0.11517981,0.11096433,0.11397389,0.13266148,0.18041323,0.26161823,0.36163962,0.4467131,0.4889947,0.4821287,0.44428563,0.39681068,0.353304,0.31663358,0.28773642,0.26820707,0.25940052,0.25990328,0.26796448,0.28550768,0.32165837,0.38292846,0.46530685,0.5475604,0.61018854,0.6464588,0.6688493,0.6891926,0.7102516,0.7247057,0.7283106,0.7243405,0.72075295,0.72184706,0.7239799,0.71847695,0.70088917,0.67617416,0.6553908,0.64503604,0.64366984,0.6456899,0.64874125,0.65457004,0.6665633,0.68608433,0.7090954,0.7267471,0.73009366,0.7196937,0.7057567,0.7006162,0.7078099,0.72163606,0.73376495,0.7397344,0.7398152,0.73610616,0.72753835,0.7114723,0.6862323,0.6602984,0.6438766,0.64342433,0.6511817,0.6593788,0.66540384,0.67616415,0.69446915,0.7163244,0.7305928,0.7282745,0.7069356,0.67509526,0.64660066,0.632741,0.6344416,0.64503294,0.65737814,0.66871333,0.67998004,0.6917967,0.7023645,0.70642465,0.6995461,0.68242556,0.6644892,0.65401083,0.65123993,0.6449445,0.62909466,0.60857314,0.59761643,0.60252947,0.61878675,0.63596773,0.64960283,0.66191643,0.67845386,0.69761825,0.7120437,0.7105961,0.6942801,0.67203313,0.6584339,0.65626127,0.6628296,0.6710508,0.68042374,0.69108194,0.7043553,0.7163027,0.72372675,0.72437596,0.7245019,0.7277629,0.73322135,0.7290651,0.7103805,0.68185836,0.6593754,0.6521196,0.65982383,0.67165035,0.6776073,0.6732032,0.6643682,0.6610164,0.6672093,0.6755813,0.67435926,0.66162246,0.6470668,0.6431155,0.65237993,0.6682811,0.68135613,0.68741876,0.68825036,0.690284,0.6947057,0.6968057,0.6867884,0.66664577,0.64570785,0.63798666,0.64332944,0.6573268,0.66957563,0.67801166,0.6799366,0.68182135,0.6856282,0.69178516,0.6892578,0.6747294,0.6539764,0.642371,0.6444821,0.6527924,0.655366,0.6496296,0.6422271,0.64207506,0.65219283,0.6688266,0.68280387,0.6878641,0.6831271,0.67482424,0.6677067,0.6637752,0.660399,0.65522295,0.6476443,0.64166385,0.6444712,0.65851396,0.6766905,0.6850074,0.67753315,0.6618378,0.65205795,0.6549615,0.6651273,0.67386365,0.67679983,0.6778238,0.68243,0.6915877,0.7000678,0.70054716,0.694118,0.6870904,0.6865421,0.6886212,0.6868624,0.67765087,0.66745996,0.66266364,0.6651216,0.6675598,0.6637585,0.6500543,0.6322859,0.6154504,0.605629,0.6016495,0.6038428,0.6100187,0.6217733,0.6390769,0.6631711,0.6905647,0.7149412,0.728445,0.7296943,0.7243354,0.71886414,0.71431476,0.7073086,0.69876075,0.6946218,0.69976276,0.7113462,0.72116715,0.7245471,0.72251874,0.72087735,0.72259706,0.7261059,0.725254,0.71522784,0.6993847,0.68556017,0.6816047,0.68465567,0.6906212,0.6945552,0.70049804,0.7098908,0.7251777,0.73920774,0.7447631,0.7327259,0.70828897,0.6844941,0.6787613,0.69374377,0.7206924,0.744143,0.7566714,0.7579188,0.75347537,0.74539757,0.73282623,0.7121818,0.6866272,0.6640963,0.6526306,0.649903,0.6474223,0.63966364,0.6308381,0.62924457,0.63755345,0.6510978,0.66256166,0.6690471,0.6727821,0.67819554,0.6882255,0.70155686,0.71463084,0.7234064,0.72736794,0.7271991,0.72429466,0.71745795,0.70725113,0.6956968,0.6888512,0.69090194,0.7006807,0.7096653,0.7079193,0.69549125,0.6823433,0.6813259,0.69368416,0.7108299,0.7222395,0.72530824,0.7241926,0.7240251,0.7247171,0.72213906,0.711137,0.6941943,0.677195,0.6685972,0.6681735,0.67460495,0.6829732,0.6936917,0.70496017,0.71741295,0.7275652,0.7318413,0.7241032,0.7046714,0.68064284,0.66502136,0.6649664,0.6789507,0.6977689,0.71358854,0.7232415,0.7284042,0.73140734,0.73010665,0.7204754,0.7005193,0.6796314,0.668247,0.6711676,0.6779104,0.6796798,0.6749756,0.67327094,0.67876095,0.6887347,0.6942144,0.6910922,0.6809408,0.6716005,0.6694255,0.6763983,0.6878655,0.69800705,0.703646,0.7064898,0.70991975,0.71531504,0.7180448,0.7118022,0.6943267,0.67562914,0.6683584,0.67814213,0.6940098,0.7029881,0.70007783,0.6937523,0.6920609,0.697855,0.70750743,0.7179985,0.72741336,0.7350659,0.74104506,0.74338144,0.7395205,0.7262981,0.7082738,0.69291586,0.68743986,0.6897872,0.6948108,0.6976989,0.6981639,0.6964364,0.69282985,0.6865147,0.67812425,0.6685521,0.662111,0.6607433,0.6648814,0.6691558,0.6721749,0.67521054,0.68343997,0.69665664,0.7110365,0.71968085,0.7196967,0.7125533,0.7064069,0.7066534,0.71236616,0.71245784,0.7005909,0.6802647,0.6654834,0.66518277,0.6781528,0.6942639,0.7042864,0.7053235,0.7017929,0.70068604,0.7038711,0.7064232,0.7013933,0.689544,0.6777058,0.67284995,0.6744134,0.6784994,0.6812625,0.6838966,0.6886098,0.69857746,0.70937234,0.7132876,0.7008826,0.6764119,0.6525183,0.6444967,0.6539804,0.6729181,0.68981034,0.70049256,0.7070131,0.7143207,0.7213629,0.7219407,0.7067209,0.67797184,0.64515316,0.62274534,0.6124862,0.61183065,0.61475325,0.623645,0.6400586,0.66499203,0.6913285,0.7100222,0.71007425,0.6900733,0.6571293,0.62801975,0.61381644,0.6169762,0.6287668,0.6412537,0.65145737,0.66226196,0.67682695,0.69192666,0.7015531,0.699588,0.690742,0.680247,0.6700143,0.65016836,0.61663586,0.57723755,0.5524159,0.5558055,0.5863488,0.62658024,0.6573856,0.6668963,0.6614689,0.6550431,0.66115254,0.67786795,0.69704413,0.7080102,0.709455,0.7027442,0.694757,0.6900268,0.6942392,0.7068148,0.7254111,0.74104553,0.74568886,0.7314153,0.7023876,0.67058295,0.6539421,0.65819186,0.67768246,0.6965999,0.70692945,0.7085748,0.71116215,0.7191956,0.7307971,0.73505896,0.7257573,0.7049475,0.68371695,0.66979617,0.66573787,0.66919154,0.6802902,0.69861346,0.7228639,0.7483271,0.76797754,0.7735314,0.7586979,0.72815704,0.69633645,0.68136054,0.6884262,0.7102156,0.73107165,0.74328893,0.746969,0.7497973,0.7528715,0.75192165,0.7390537,0.71797466,0.69853145,0.6898574,0.68690735,0.68299407,0.6769816,0.67838675,0.69175357,0.7139554,0.73446846,0.7472523,0.7506935,0.7497037,0.7467382,0.7415138,0.72809863,0.7063547,0.6821668,0.6665725,0.6626699,0.66686624,0.67025524,0.6682423,0.6602711,0.6527114,0.6525282,0.6605411,0.6668908,0.65920264,0.63789564,0.61734664,0.614647,0.63238835,0.6597329,0.68215364,0.6940615,0.6990593,0.704366,0.71128494,0.7143436,0.70581967,0.686876,0.6673861,0.659717,0.66695356,0.68319434,0.6992211,0.71114546,0.72077864,0.73287445,0.7467657,0.7551251,0.7457525,0.71544576,0.67339706,0.6385091,0.6230622,0.6271489,0.6406877,0.6541205,0.6636073,0.6708142,0.67873746,0.688314,0.6980098,0.7057416,0.71088,0.7139716,0.71525735,0.7140122,0.70994097,0.70416576,0.69868976,0.6942436,0.68953365,0.68241936,0.67219573,0.660408,0.6494677,0.6412205,0.63644266,0.6356028,0.6380872,0.6413861,0.641311,0.6346977,0.62145144,0.60420674,0.5857931,0.56753415,0.54936284,0.5312374,0.5137263,0.4975952,0.48269048,0.4676729,0.4506838,0.43073702,0.40845895,0.38577053,0.3646489,0.3460845,0.32994536,0.31560257,0.3026441,0.29084516,0.27977142,0.26848492,0.2560482,0.2421496,0.22738706,0.21273135,0.19901459,0.18661349,0.17571099,0.16626503,0.1580712,0.15062527,0.14347683,0.13635527,0.12927459,0.122267455,0.11534113,0.10847955,0.10171949,0.095106505,0.08859394,0.08210128,0.0755404,0.06896839,0.06249785,0.056360215,0.0507234,0.045733724,0.04135907,0.03756702,0.034303013,0.03160274,0.029388534,0.027431877,0.025337132,0.022836618,0.020067222,0.017685488,0.016539387]