[0.0038301297,0.0108107915,0.03059432,0.06323648,0.10024712,0.12516715,0.12514807,0.101270415,0.07076977,0.05644296,0.07474931,0.1224452,0.17783618,0.20936441,0.20085894,0.1591188,0.111579396,0.08282549,0.085107945,0.11094234,0.14216848,0.15665947,0.14503841,0.11372968,0.084625565,0.07988944,0.115002595,0.18509257,0.2671673,0.3257966,0.3410709,0.31686983,0.27868345,0.24703008,0.22970729,0.22138847,0.21652849,0.21197923,0.20792867,0.20482154,0.20322359,0.20312198,0.20399724,0.20461603,0.20354597,0.20016177,0.19568026,0.19288456,0.1947012,0.20033544,0.2038294,0.19544935,0.1695292,0.12975748,0.08889059,0.06052564,0.05080961,0.055849954,0.06545698,0.07177553,0.07478865,0.08268723,0.10522439,0.1476066,0.20857042,0.27863798,0.3421111,0.37907597,0.3798522,0.3512369,0.3180233,0.30562732,0.32692078,0.37157607,0.41408446,0.42852148,0.40836835,0.36721423,0.32806,0.30407882,0.29567656,0.29471013,0.29430175,0.2910608,0.28455558,0.275587,0.26530597,0.2557378,0.24873084,0.24537982,0.24434377,0.24297215,0.23938017,0.23505558,0.23371536,0.23610573,0.23681872,0.22599298,0.19956912,0.16356039,0.13373451,0.12316903,0.13683775,0.16778672,0.20467393,0.2351871,0.2516547,0.25093052,0.23628761,0.21606769,0.2014708,0.20044912,0.2122432,0.22642682,0.22951859,0.21763892,0.20292497,0.20915794,0.24871002,0.31053135,0.36160782,0.3782549,0.35949707,0.327341,0.3007429,0.2870639,0.28161696,0.27925658,0.27709997,0.27457896,0.27128962,0.26665965,0.2601674,0.25156105,0.2414819,0.23157375,0.22415996,0.2212136,0.22343302,0.2300901,0.23773839,0.24078827,0.23250462,0.21072154,0.17931193,0.14715534,0.12124672,0.10390828,0.0925472,0.083044074,0.07192581,0.05813661,0.043830667,0.035837248,0.04486105,0.082495816,0.14996527,0.23372753,0.30695865,0.35003355,0.35998523,0.3538054,0.3515137,0.3652184,0.39049637,0.41186738,0.4140364,0.39435413,0.3635718,0.33628404,0.31953514,0.3117937,0.30763194,0.3032498,0.29708782,0.28932646,0.28116453,0.27425063,0.26967075,0.26711383,0.26514396,0.26230082,0.25821826,0.2541475,0.2518753,0.25235498,0.25246313,0.24675782,0.22932787,0.20087369,0.16646537,0.13440591,0.10966777,0.09587028,0.09397107,0.102994435,0.117944576,0.13221258,0.14154236,0.14726254,0.15621655,0.17604887,0.2088021,0.24612832,0.27173802,0.27193943,0.24812728,0.22070545,0.2188195,0.25616968,0.31903946,0.37078193,0.38495424,0.36003336,0.32015345,0.2869452,0.26945165,0.2622123,0.25855312,0.25431588,0.24910384,0.24350508,0.23879416,0.23630194,0.2370326,0.24048488,0.2445182,0.24626051,0.24486929,0.2424616,0.24280709,0.24514635,0.24231803,0.22325183,0.18411231,0.13217098,0.083423615,0.051353708,0.042272497,0.054900806,0.08362729,0.11970302,0.15301482,0.17627978,0.18925297,0.19967277,0.21957703,0.2554425,0.30242482,0.34287086,0.36102036,0.35337427,0.33498955,0.32671526,0.34182164,0.37481514,0.4057397,0.41398942,0.39379716,0.35621122,0.3190619,0.29355872,0.28150424,0.2786945,0.28023696,0.28200927,0.28152576,0.2784563,0.27399445,0.26920292,0.26359224,0.255814,0.24543135,0.2343135,0.22636701,0.2254691,0.232211,0.24108785,0.24288984,0.23093432,0.20803837,0.18360358,0.16686936,0.16020022,0.16228165,0.17089933,0.18433605,0.19771974,0.20435868,0.1988049,0.1825277,0.16423224,0.15653352,0.16761892,0.19493456,0.22590251,0.24598904,0.25071737,0.24933773,0.2608216,0.29498717,0.34399495,0.3822323,0.39163247,0.3717768,0.34148994,0.3167179,0.30361393,0.29728147,0.29284927,0.2880509,0.28385475,0.28072444,0.27824184,0.27468148,0.26895234,0.2604777,0.24995343,0.23839982,0.22810161,0.2217714,0.22250517,0.22973166,0.23871034,0.24055769,0.23033357,0.20960979,0.18703629,0.17015223,0.16235797,0.16206354,0.1662762,0.17201287,0.17681159,0.1790231,0.1797521,0.18416345,0.20229024,0.24013956,0.29437324,0.34673762,0.3799614,0.3869461,0.3809423,0.3810724,0.40101525,0.4343275,0.46136835,0.46179953,0.43360364,0.39111605,0.3546281,0.33319318,0.3247448,0.32071948,0.31528318,0.30662674,0.2966545,0.28789768,0.28188398,0.27843162,0.27626526,0.273802,0.2698578,0.26448655,0.25950292,0.25749674,0.2599559,0.26330635,0.26012778,0.24179853,0.20744711,0.16386922,0.12472715,0.102489136,0.107306,0.14099802,0.19561553,0.25125322,0.28661504,0.28770015,0.257603,0.21268803,0.17780817,0.17154352,0.19740619,0.23861842,0.26958385,0.27346107,0.25623345,0.24563591,0.26673427,0.32185718,0.3819464,0.41606513,0.41168055,0.3848915,0.35628748,0.3379308,0.32797685,0.32162598,0.3158271,0.3104973,0.3061799,0.3029984,0.3004541,0.29777145,0.29432282,0.2901988,0.28646848,0.28525987,0.28889957,0.29829383,0.31027102,0.31684816,0.30782148,0.27796698,0.2316773,0.18252778,0.14532311,0.1298884,0.1366136,0.15862733,0.18427974,0.2041229,0.21443027,0.22084141,0.23414749,0.26600555,0.31627822,0.37072155,0.40318403,0.3982391,0.36103526,0.31890163,0.29966703,0.31569487,0.35574093,0.39345798,0.4056332,0.38628325,0.34929273,0.3141118,0.2926619,0.28454104,0.28371444,0.28490794,0.28631368,0.28773454,0.28901646,0.2892296,0.28763685,0.28417167,0.27927646,0.2730964,0.26538444,0.25711507,0.25089616,0.2505504,0.2556505,0.26114783,0.25807342,0.24342422,0.22073561,0.19959472,0.18654124,0.18487625,0.19376147,0.21068366,0.22962452,0.24287407,0.24456096,0.23581032,0.22569726,0.2264719,0.24580252,0.27999797,0.31591952,0.3382161,0.34211907,0.33688617,0.34235868,0.36970714,0.4128393,0.448141,0.45822692,0.4420948,0.41654465,0.3966001,0.38786212,0.38522255,0.3821731,0.37533283,0.3658031,0.35691914,0.3511257,0.3487574,0.34797326,0.34700587,0.34480777,0.34186116,0.33956647,0.33953694,0.3418096,0.34151313,0.32970592,0.29680654,0.24208558,0.17504716,0.11258388,0.06786709,0.04633668,0.04436395,0.053471267,0.06307858,0.065050185,0.057667118,0.049441665,0.057515144,0.10154569,0.18677557,0.29586986,0.39097115,0.4424434,0.44584754,0.4262948,0.41358757,0.42501798,0.45442465,0.4821094,0.48749295,0.4656954,0.4273642,0.39062777,0.36542526,0.3520201,0.34454858,0.33880484,0.33311698,0.32740495,0.3217791,0.31630942,0.3116541,0.30885303,0.30822122,0.30846497,0.30684543,0.30251375,0.29746947,0.29607785,0.29816473,0.29810843,0.28600708,0.25857666,0.22114883,0.18844044,0.17447157,0.18836492,0.22697608,0.27632055,0.3145366,0.32317588,0.29604572,0.24472928,0.19515331,0.17646295,0.20443793,0.2703978,0.3437197,0.39004287,0.39148593,0.35801837,0.322727,0.31819946,0.3545023,0.40789154,0.4459859,0.45070472,0.43237773,0.40938842,0.39379475,0.3848028,0.37873158,0.3738176,0.37096974,0.3707155,0.37235084,0.37407887,0.3741084,0.37157336,0.36710525,0.36267957,0.36027744,0.3609548,0.36414787,0.36812806,0.36971453,0.36578408,0.3549178,0.34018514,0.32692468,0.3196404,0.31811643,0.31920588,0.3192884,0.3169082,0.31226182,0.3063358,0.3020701,0.3054489,0.3253623,0.36279714,0.40462303,0.42464247,0.40612042,0.3552486,0.300042,0.26801047,0.2705097,0.30042794,0.34076247,0.37379658,0.38610294,0.37056765,0.3278809,0.26679912,0.20363653,0.15462114,0.1280484,0.12052574,0.12282852,0.12773207,0.13263106,0.13773765,0.14256014,0.14593618,0.14626282,0.14340745,0.13850264,0.13404787,0.13184921,0.13283336,0.13637106,0.14155592,0.14659292,0.14956321,0.14833437,0.14267017,0.13468014,0.12845932,0.12680428,0.12894657,0.13031597,0.12578207,0.11338035,0.09641137,0.08218739,0.077459805,0.08382287,0.0955188,0.10344242,0.10389251,0.1057898,0.13060962,0.1942292,0.29125336,0.38758504,0.44735968,0.45487154,0.42696825,0.38996372,0.36276928,0.34731448,0.3394365,0.33496466,0.33346328,0.33459544,0.33744535,0.3395923,0.33953786,0.33675644,0.33255053,0.32803643,0.32486168,0.32408813,0.32727835,0.3332987,0.33765772,0.3317543,0.3088654,0.2681887,0.2170679,0.16616897,0.12581818,0.10223786,0.09759995,0.108089276,0.12572046,0.14011334,0.14730336,0.15409726,0.17958839,0.23695438,0.32001913,0.39693043,0.43727913,0.43224,0.4040526,0.38244712,0.38613868,0.41095832,0.4394044,0.45214522,0.44249701,0.41694868,0.3900952,0.3714931,0.36321965,0.36065325,0.3595612,0.35741377,0.3542045,0.35048568,0.34654835,0.34226033,0.33712777,0.33147666,0.32584772,0.32128453,0.31892323,0.32024202,0.32661328,0.3355491,0.34064662,0.33263448,0.3088716,0.2747672,0.24265736,0.22202967,0.2176851,0.22984166,0.2562199,0.29014346,0.31939068,0.33093292,0.31825534,0.2881281,0.258274,0.2473417,0.2617946,0.28996107,0.31011888,0.30698842,0.28587535,0.27244326,0.2921119,0.3483299,0.4130968,0.45203367,0.44911918,0.4184327,0.38315186,0.3578556,0.34254754,0.3323073,0.3239049,0.3167471,0.31097826,0.30681503,0.30430666,0.30329442,0.30289385,0.30198613,0.2993696,0.2948873,0.29011333,0.2883409,0.291587,0.29684398,0.2959628,0.28066173,0.24979304,0.21004611,0.1723748,0.14572306,0.13545078,0.14213066,0.16118176,0.1838129,0.20084716,0.21036436,0.22010966,0.24565144,0.29471755,0.35839596,0.40921393,0.42467496,0.40233073,0.36584905,0.344342,0.35665146,0.39815843,0.44681975,0.4743532,0.46697012,0.4314796,0.38931563,0.35756397,0.3414264,0.3363289,0.33639085,0.33770847,0.33824372,0.33732247,0.33530506,0.33309725,0.3307242,0.32738626,0.3223422,0.3162214,0.3112609,0.30991128,0.3131316,0.31626645,0.3101506,0.28386173,0.235561,0.17356537,0.11491042,0.075099535,0.06699461,0.098498225,0.16932344,0.26394188,0.35210076,0.40278304,0.40217963,0.3625455,0.31570187,0.2925582,0.3070563,0.34652224,0.3842484,0.3953475,0.37725663,0.35099092,0.34764424,0.38141337,0.4360845,0.47773305,0.48367777,0.45846343,0.42391494,0.39794555,0.38486162,0.3797934,0.37727475,0.37463346,0.37102333,0.3666694,0.36179554,0.35726276,0.3536495,0.3515874,0.35090673,0.35083696,0.35092357,0.35145554,0.35256872,0.3511388,0.3415304,0.31955078,0.288232,0.25624076,0.23200698,0.21693365,0.20607598,0.19251102,0.17251861,0.14678721,0.11884362,0.0953053,0.087044425,0.110815704,0.17692558,0.2766542,0.3757578,0.4376053,0.44734243,0.42413807,0.40181878,0.40624753,0.43825898,0.4784801,0.49931312,0.48654437,0.44530353,0.39637598,0.35678998,0.3329033,0.32073018,0.31573048,0.31541118,0.31929532,0.32560006,0.33100593,0.33148703,0.325249,0.31385994,0.30134642,0.2911769,0.28498688,0.28268725,0.2841603,0.28712246,0.2873719,0.2786267,0.25976303,0.23549445,0.21570522,0.20731892,0.21319358,0.2321952,0.26114157,0.29278994,0.3156292,0.3188784,0.3004344,0.27084717,0.24868385,0.24820006,0.26996496,0.2985398,0.3135505,0.30320093,0.2755064,0.25583413,0.26965317,0.32191578,0.38861677,0.4355831,0.4439267,0.42203614,0.39178714,0.36919785,0.3572969,0.3518672,0.34938756,0.3488834,0.35021386,0.35243833,0.35353622,0.3515681,0.34555975,0.33598888,0.3245881,0.31395337,0.30734098,0.30726933,0.3129625,0.31865963,0.31546462,0.29733503,0.26547062,0.22800617,0.1949666,0.17369436,0.1672516,0.17373808,0.18749607,0.20054747,0.20772703,0.21074806,0.2198798,0.24981602,0.30689082,0.38038215,0.4418396,0.46667197,0.45026657,0.41419926,0.38716292,0.388639,0.41618,0.45089173,0.4677362,0.45434463,0.41647696,0.3732712,0.33995283,0.32110193,0.31208804,0.30725023,0.30302012,0.29817867,0.29292217,0.2881252,0.28463408,0.28201473,0.27896234,0.2741253,0.2677715,0.26229334,0.26122293,0.2670407,0.27579048,0.277302,0.25822482,0.2148804,0.15565377,0.099455714,0.062809564,0.056845605,0.08368806,0.13838421,0.20548296,0.26404813,0.2938322,0.288066,0.2569184,0.22679454,0.22310096,0.25573114,0.308339,0.35187316,0.3625017,0.3413199,0.31249735,0.30796275,0.33983657,0.3897035,0.42164847,0.41370153,0.3721032,0.32169786,0.28188774,0.2575797,0.24312438,0.23363076,0.22844328,0.23040543,0.24062069,0.25637192,0.27122918,0.2794582,0.27839366,0.2692115,0.2547944,0.23968323,0.22968705,0.23107661,0.24439342,0.26207805,0.26994303,0.25936237,0.2321357,0.20032807,0.17447461,0.15882479,0.15032391,0.1452554,0.14226736,0.14346099,0.15237546,0.1745371,0.21724172,0.2849187,0.3681238,0.44019935,0.46945176,0.4434,0.3799031,0.31872964,0.29741502,0.32975915,0.3973502,0.45953968,0.4817346,0.45745543,0.409565,0.36637613,0.34167564,0.33161685,0.32647583,0.31991056,0.31109133,0.30176735,0.29399455,0.28843272,0.2842593,0.2798194,0.2740555,0.2675359,0.2629008,0.26396927,0.27428183,0.29273415,0.31223297,0.32070592,0.31040534,0.28282994,0.24936886,0.22334976,0.21516967,0.23083787,0.27004376,0.32446647,0.37543753,0.40322152,0.39525172,0.3559295,0.30250034,0.25831607,0.2382236,0.24192095,0.25321743,0.25577286,0.24697703,0.24626398,0.27601337,0.34111455,0.4150112,0.46277702,0.46638635,0.43955985,0.40869215,0.3919998,0.38892412,0.38897052,0.3828336,0.36898646,0.35209432,0.33828226,0.33052352,0.32821965,0.32891664,0.33075812,0.33287334,0.3351182,0.3377849,0.34031916,0.3404952,0.3318435,0.30705488,0.2615666,0.20090151,0.13753164,0.08608008,0.05419082,0.042367965,0.044653907,0.052893717,0.05859317,0.057028983,0.051123843,0.053561687,0.084244035,0.15677434,0.26509443,0.37800816,0.45935836,0.49117032,0.48640847,0.47355726,0.4775952,0.503574,0.5385501,0.5590022,0.55004126,0.51434124,0.47037748,0.43551254,0.41530696,0.40493035,0.3972486,0.3888515,0.3791176,0.3689053,0.3588786,0.34925255,0.33933696,0.32769212,0.3134729,0.29741272,0.28257847,0.2729815,0.2718452,0.2771347,0.2800335,0.26712573,0.23073883,0.17589962,0.11949247,0.079490714,0.06587194,0.07862433,0.11063323,0.15162157,0.18994743,0.21616955,0.2267589,0.22734219,0.23178202,0.253531,0.29568768,0.3440999,0.3761908,0.37655178,0.35140005,0.32695818,0.33124793,0.3730471,0.43308115,0.47980556,0.49344102,0.4782447,0.45336494,0.434075,0.42411324,0.41855815,0.41251454,0.40394044,0.3936262,0.38350964,0.3757908,0.3720797,0.37222514,0.37372884,0.37296247,0.36795726,0.36078385,0.35671687,0.35992372,0.3681387,0.37184942,0.3595357,0.32750526,0.28374034,0.24369043,0.21867192,0.20936637,0.20699982,0.20152915,0.18829292,0.16945364,0.15234424,0.1475711,0.16877379,0.2251575,0.31127584,0.40104795,0.46204403,0.477051,0.4568702,0.42996565,0.42312858,0.44407654,0.4793634,0.50241375,0.49424756,0.45540679,0.4052559,0.36370662,0.3390224,0.32701287,0.32041642,0.31505027,0.31032565,0.30642375,0.30316347,0.30010334,0.2980494,0.29795423,0.29972193,0.3004277,0.29651687,0.28719798,0.27714527,0.27389356,0.28050098,0.2912129,0.2941284,0.28218308,0.25832725,0.23441309,0.22218199,0.22996461,0.25910336,0.30386975,0.34883115,0.37492123,0.3682281,0.3304893,0.27913806,0.23860691,0.22530122,0.23767388,0.25708434,0.26296768,0.25022522,0.23806684,0.25544953,0.31619716,0.40210637,0.47588935,0.5100649,0.5052962,0.48210502,0.45934808,0.44331947,0.43141565,0.42137718,0.41346502,0.40908027,0.40779582,0.40858185,0.40994048,0.4116492,0.41380468,0.41698146,0.42124423,0.42615786,0.4299302,0.4286704,0.41487134,0.38132215,0.32503757,0.25420302,0.18260615,0.12481237,0.08651105,0.06769821,0.062504984,0.06411038,0.063919164,0.057426017,0.04669663,0.044203967,0.068493135,0.13512824,0.24088727,0.3592839,0.45224726,0.49811563,0.5033861,0.4964485,0.5025852,0.53007525,0.5662021,0.58777994,0.5753884,0.5237277,0.44152394,0.3429689,0.24197978,0.15169315,0.08302057,0.040952887,0.02156766,0.016991744,0.02214534,0.0383247,0.0691515,0.11293143,0.1585077,0.18880004,0.19266047,0.17476821,0.1561721,0.16044825,0.19556232,0.24618173,0.28450793,0.29222986,0.27324226,0.24992456,0.24706256,0.27618024,0.32735673,0.3730766,0.38575807,0.35718694,0.30595854,0.2646756,0.26010475,0.29451227,0.34480497,0.3733715,0.35753825,0.30430582,0.25005746,0.23308873,0.2736102,0.36022985,0.45881295,0.5283339,0.5475262,0.52316344,0.48257545,0.44860005,0.4292014,0.41895196,0.41055965,0.3999056,0.38654554,0.37220356,0.35921076,0.3494618,0.3429332,0.33776012,0.33149323,0.32308498,0.31430697,0.30870438,0.30929658,0.312999,0.3108879,0.29118222,0.25106534,0.19836275,0.14897303,0.114291154,0.09790906,0.095502555,0.10039697,0.10586044,0.10745787,0.105575345,0.108600736,0.13269651,0.19343032,0.28951976,0.39494553,0.46797743,0.47971395,0.43311414,0.36418247,0.31969067,0.32964876,0.38936687,0.46175885,0.50570446,0.5029319,0.4669806,0.4237198,0.39074448,0.37079683,0.35932386,0.35246825,0.3485606,0.34667614,0.34558913,0.34416234,0.341678,0.33801982,0.33335495,0.3282148,0.32343405,0.32052866,0.32114324,0.3248278,0.32692182,0.31950572,0.29735252,0.2630735,0.22650409,0.19928594,0.19008768,0.20464222,0.24320318,0.29807726,0.35053954,0.37954637,0.37307522,0.3381587,0.29762587,0.27643922,0.28690413,0.32043386,0.35537624,0.3706368,0.36235914,0.34625933,0.3488537,0.3836211,0.43964425,0.48548305,0.4981471,0.4771917,0.4438262,0.41734663,0.40504965,0.4022093,0.4022876,0.40120843,0.3974446,0.39073834,0.3815782,0.3711233,0.3609072,0.35190657,0.34414163,0.336851,0.330181,0.326041,0.32680067,0.33033395,0.32968825,0.3157593,0.28716996,0.24966739,0.21347314,0.18363135,0.16114724,0.1436576,0.12918322,0.115061335,0.099867344,0.085583605,0.08133992,0.10208166,0.1612867,0.2556263,0.3598021,0.43495905,0.45551315,0.42235842,0.36451492,0.32043096,0.3203324,0.36778605,0.43683848,0.49048805,0.507086,0.49354604,0.4704678,0.45313814,0.44302917,0.43590343,0.42895368,0.42300832,0.41947722,0.41873214,0.41998804,0.42198417,0.4232976,0.42223844,0.41750777,0.40949082,0.40100405,0.39583433,0.39557576,0.39601946,0.38877538,0.36582682,0.32740226,0.28156653,0.24153328,0.21842848,0.22114795,0.25168172,0.30376318,0.35890055,0.39597902,0.40085092,0.37690023,0.34158745,0.31682363,0.31469283,0.33013263,0.34474412,0.3415871,0.31958795,0.29731646,0.29982927,0.33804753,0.39829013,0.45061353,0.47381595,0.46716213,0.4483209,0.43283686,0.42651904,0.42375565,0.4180311,0.40593734,0.3895274,0.37275863,0.35889068,0.34877715,0.34148324,0.33519217,0.32787868,0.31809643,0.30692697,0.29838166,0.29781416,0.3048959,0.31139067,0.3028524,0.27144673,0.22094585,0.16651997,0.122294165,0.09558315,0.084752806,0.08419729,0.087289,0.0892578,0.08956635,0.09542965,0.121575534,0.18354446,0.28032586,0.3864027,0.45854294,0.4674748,0.41773355,0.34866786,0.30638388,0.3165004,0.3701992,0.43343303,0.47180328,0.47230077,0.44677553,0.41673756,0.39567587,0.38509336,0.37988505,0.37594485,0.37141052,0.36609483,0.36024213,0.35432628,0.3485413,0.3424997,0.335551,0.32776406,0.31995222,0.31373206,0.30982697,0.30958608,0.3112853,0.3124826,0.30664796,0.292778,0.27302608,0.25606036,0.24579315,0.24269669,0.2419402,0.24036884,0.23637938,0.230631,0.22362882,0.21602285,0.2091571,0.2058871,0.20898117,0.2185051,0.23080796,0.24047704,0.24487025,0.24593508,0.25002643,0.2614137,0.27916884,0.29467252,0.2996815,0.29047325,0.27173677,0.25024903,0.23152031,0.2167926,0.2051505,0.19497113,0.1850555,0.17509115,0.1653495,0.15661977,0.14923084,0.14290321,0.13671885,0.13013235,0.12440982,0.12335501,0.13249843,0.15318199,0.17778653,0.1899562,0.17648153,0.13802156,0.09023822,0.051720753,0.032427575,0.030269474,0.036419567,0.041437488,0.04034872,0.03398726,0.030397004,0.042417694,0.08353158,0.15530421,0.24048002,0.3063886,0.32835126,0.30763203,0.27302042,0.2604726,0.2887471,0.34792438,0.40302148,0.41892135,0.38169602,0.30943343,0.23394783,0.17992222,0.15179642,0.14123587,0.13765712,0.13561504,0.13363795,0.1320758,0.13076639,0.1293468,0.12684886,0.12251008,0.11571214,0.10726553,0.100200854,0.0994967,0.11023045,0.13061284,0.15116633,0.15627559,0.1390935,0.104394615,0.06840531,0.043532353,0.034672793,0.036694188,0.042021293,0.04328355,0.03834081,0.029320786,0.021764016,0.019866057,0.025171211,0.03516974,0.045325458,0.05084384,0.050522674,0.050881024,0.06705949,0.119761966,0.21666527,0.3435621,0.46020755,0.5332373,0.5510845,0.5353164,0.5110548,0.49567917,0.4893509,0.48840323,0.48922217,0.49104515,0.49339846,0.4956764,0.49729243,0.49798933,0.49752632,0.49600744,0.49361315,0.49154493,0.49072042,0.48992744,0.48197713,0.45500448,0.3992367,0.3173176,0.22599353,0.14717795,0.09464395,0.068945,0.06160006,0.062368017,0.06344224,0.061260134,0.056976527,0.05763501,0.074991114,0.123270564,0.20765324,0.31635055,0.41889247,0.48723808,0.5130088,0.51444906,0.51747423,0.5377064,0.5690544,0.5931375,0.59239084,0.5658849,0.5252739,0.48799965,0.46191463,0.44800532,0.44083086,0.43668556,0.43241617,0.42762354,0.42292404,0.41954538,0.4179106,0.4176394,0.41813245,0.41916475,0.42031863,0.42189488,0.42342892,0.42358276,0.4144975,0.38600466,0.32957783,0.25172234,0.16931993,0.10552875,0.0756766,0.08930581,0.14435004,0.22870654,0.3155742,0.37666166,0.39197758,0.36400428,0.3140409,0.27557817,0.2733138,0.31046507,0.3643297,0.40308437,0.40520188,0.37537703,0.34349218,0.3450383,0.39390433,0.46751818,0.5269085,0.54750323,0.5359391,0.5139681,0.4974288,0.48814598,0.48136702,0.47376797,0.46542808,0.45799205,0.4526253,0.44894052,0.4456079,0.4414576,0.43653956,0.4318601,0.42904472,0.4293947,0.43318713,0.43688115,0.4329208,0.41103557,0.3657521,0.30054793,0.22890855,0.16656986,0.12428061,0.10291018,0.09556743,0.09278792,0.08803618,0.080111034,0.07434654,0.08149696,0.116666414,0.18787098,0.28829908,0.39125112,0.46946374,0.50973946,0.523315,0.53032726,0.54640174,0.57019114,0.5883083,0.58473736,0.5556553,0.51152194,0.47017327,0.4423935,0.42821792,0.42074057,0.41442946,0.40758368,0.40118834,0.3963199,0.3931826,0.3913171,0.38972604,0.38694498,0.3813611,0.3726523,0.3631285,0.35615528,0.35295558,0.3470076,0.32732394,0.28376064,0.2193826,0.14785527,0.08981127,0.0605009,0.07074063,0.1219574,0.20616412,0.30031267,0.37564215,0.4074895,0.39091298,0.34206757,0.2959567,0.28482798,0.32105067,0.38317725,0.43329188,0.44075072,0.40730712,0.36538494,0.3541352,0.38975325,0.4504633,0.5000916,0.5152001,0.503156,0.48341694,0.47074866,0.46601093,0.46529976,0.46582043,0.46732464,0.46977076,0.47229865,0.4737525,0.47353375,0.47192684,0.47021243,0.46965525,0.47107828,0.47342196,0.47233364,0.45919004,0.4239029,0.36183023,0.27964967,0.19403519,0.12273198,0.07558209,0.05241388,0.04686365,0.050569754,0.0554959,0.055518314,0.049341273,0.043637693,0.052891146,0.095853895,0.18039139,0.29529604,0.4070065,0.48511672,0.5174663,0.5200658,0.5163371,0.52343446,0.54148555,0.5595437,0.56491894,0.5529006,0.5302656,0.5083167,0.49451074,0.48798642,0.48429218,0.47986627,0.47467718,0.46948537,0.46507025,0.46083894,0.45657447,0.45201266,0.44738612,0.44256863,0.43774202,0.4338282,0.43225312,0.43280232,0.4296161,0.4116194,0.36759165,0.29752603,0.21454877,0.14161126,0.09880387,0.100923896,0.15016823,0.23718481,0.33561167,0.41599837,0.4541758,0.446211,0.40508258,0.3590699,0.3356974,0.3486481,0.38626882,0.4215444,0.4295709,0.40762654,0.37634853,0.36677566,0.3938364,0.44388136,0.48494586,0.495748,0.4793365,0.45517337,0.43785164,0.43040463,0.42748165,0.42450038,0.41985056,0.41490468,0.4114696,0.41009274,0.4094739,0.40745997,0.40252617,0.3948038,0.38633856,0.38067544,0.38087466,0.38655928,0.39091197,0.38263392,0.35155988,0.297357,0.23042262,0.16761391,0.121512316,0.09598523,0.08548475,0.08134442,0.076411866,0.06865561,0.06226677,0.0686735,0.10567733,0.18693899,0.30755794,0.43739828,0.5378601,0.5881118,0.59748703,0.59334797,0.5978296,0.6148398,0.63194567,0.6330107,0.61160034,0.5755786,0.54030615,0.516347,0.5038727,0.4967474,0.48915252,0.47939575,0.46888098,0.4604257,0.4558663,0.45489338,0.45524326,0.45450768,0.4517939,0.44786024,0.44449982,0.44295618,0.44231117,0.43566045,0.4115342,0.35935807,0.28124097,0.19297226,0.11780558,0.07371669,0.07109768,0.112363495,0.19131716,0.28814617,0.37269437,0.4163909,0.4081472,0.36112097,0.30872014,0.28513753,0.3065376,0.35762474,0.40508482,0.4183304,0.3944759,0.35920867,0.35008302,0.38604948,0.4511992,0.50891304,0.5317304,0.5214217,0.4978321,0.4791943,0.47017065,0.4676697,0.46801016,0.47024205,0.47430637,0.47962186,0.48469186,0.4877834,0.48768327,0.48505256,0.48196217,0.48090634,0.4819269,0.48136488,0.47160554,0.4433464,0.39115235,0.3181357,0.23753087,0.16500701,0.11156326,0.07937092,0.06638067,0.06855484,0.08066758,0.09423389,0.10114061,0.10010597,0.102695666,0.13109,0.20263827,0.3128222,0.4298588,0.5156675,0.5517607,0.55087405,0.5418539,0.54765344,0.5714981,0.5993462,0.6115951,0.5986158,0.56652856,0.5319312,0.5078167,0.4969112,0.4936334,0.49132672,0.48647937,0.4786644,0.46965888,0.46097732,0.45384622,0.44740406,0.44057128,0.43194023,0.42219055,0.413375,0.40779224,0.40473565,0.3971831,0.374817,0.3296814,0.26577282,0.19611323,0.13821848,0.104875706,0.10695539,0.14930671,0.22798014,0.3213736,0.39896813,0.4331096,0.41708645,0.3671038,0.31840464,0.30338702,0.3343463,0.39193353,0.4418286,0.45587957,0.4332111,0.39861915,0.38603973,0.4133062,0.4673158,0.5171897,0.53899145,0.53362197,0.51699716,0.5034241,0.49632823,0.49237755,0.48771098,0.48063913,0.4718417,0.46344075,0.45752442,0.4546595,0.4536722,0.4528152,0.45110264,0.4491124,0.44846883,0.45079842,0.45513308,0.45626482,0.44491497,0.41222742,0.3560027,0.28371057,0.21044332,0.15075807,0.11267056,0.09405532,0.08702865,0.082758375,0.077122875,0.073374,0.08336059,0.12561448,0.21132322,0.33150902,0.45183182,0.53625494,0.5698127,0.5687804,0.56122273,0.5666962,0.5851972,0.6036269,0.606765,0.5887339,0.5550335,0.51776975,0.48651132,0.4645015,0.45001924,0.4394481,0.430087,0.42107776,0.41382363,0.41000697,0.4098209,0.41179153,0.414391,0.41738626,0.4212822,0.42639324,0.43159842,0.43389657,0.42597857,0.39845482,0.34399006,0.2668256,0.1818213,0.109809555,0.066818975,0.063542835,0.103613,0.18231662,0.28050068,0.36809364,0.4150543,0.408587,0.3607559,0.30692402,0.28433743,0.3113213,0.3706952,0.4247941,0.44009495,0.41480288,0.37903914,0.37254927,0.41314647,0.48172608,0.5412574,0.56646013,0.5607291,0.54314786,0.52907586,0.52138895,0.51584035,0.5084343,0.4983271,0.48704448,0.47690925,0.4691846,0.46346328,0.4579874,0.45119813,0.44286916,0.43440756,0.42839897,0.42718944,0.43203738,0.4407831,0.44895425,0.4507718,0.4448698,0.4339702,0.4240102,0.4180967,0.4161776,0.4155191,0.41413757,0.41142514,0.40821993,0.40699565,0.41307473,0.4341538,0.47309765,0.5189593,0.54782385,0.5387786,0.4936011,0.43669727,0.39892402,0.3956224,0.42298642,0.46378398,0.498794,0.51199114,0.49206877,0.43513265,0.3468403,0.2461427,0.15716259,0.09843569,0.07164531,0.06497673,0.06311055,0.05746327,0.04830623,0.040782474,0.039143395,0.043374214,0.04912843,0.051522315,0.0482457,0.041448753,0.035543475,0.03440628,0.03875944,0.0461648,0.053090677,0.05751641,0.059633765,0.060637966,0.060672715,0.059252173,0.05605418,0.052201588,0.049049795,0.04745647,0.04718572,0.04788408,0.050162494,0.05574304,0.06592382,0.07912057,0.092689805,0.1088654,0.1402571,0.20166673,0.29380092,0.3930472,0.46542156,0.4913431,0.47821188,0.44921973,0.4232087,0.4057319,0.39332655,0.3816742,0.36939454,0.35737082,0.34727946,0.3399692,0.33506992,0.3311864,0.32698286,0.32178232,0.31607068,0.31139824,0.31003132,0.3129643,0.316309,0.31178507,0.2904143,0.25172165,0.20370091,0.159551,0.12773688,0.110957034,0.1060931,0.108596176,0.112923026,0.11503115,0.11429244,0.11815298,0.14184435,0.20003276,0.28999913,0.38592818,0.45226172,0.47151402,0.4553665,0.43481445,0.43646264,0.46693233,0.51130086,0.5428143,0.54308337,0.5133617,0.4731624,0.44165602,0.42571822,0.4202253,0.41814736,0.41663727,0.4166365,0.41914573,0.4235249,0.42729497,0.42802867,0.42450985,0.41776887,0.41016653,0.40442505,0.4018443,0.40157798,0.3987886,0.38600424,0.35651502,0.31099546,0.258756,0.2132494,0.18519388,0.18022765,0.20110238,0.24582724,0.3048965,0.35882187,0.38734838,0.37907362,0.34076515,0.2948414,0.268342,0.27705646,0.3138112,0.35510135,0.37617293,0.37139547,0.35651067,0.35807326,0.3890395,0.4367094,0.47130048,0.47219625,0.44285926,0.40364444,0.37177172,0.35189235,0.3397859,0.33068004,0.3225646,0.31540275,0.309867,0.30624008,0.30413342,0.30247188,0.30010724,0.29646483,0.29126024,0.28529054,0.2795883,0.27624404,0.27363753,0.2674497,0.24970104,0.21856566,0.17817073,0.13935706,0.11043126,0.09586125,0.09535379,0.10587113,0.12239345,0.13828993,0.14990608,0.16095491,0.18484117,0.23679645,0.31856826,0.41193375,0.48649916,0.524224,0.52847654,0.5215544,0.52366716,0.5426282,0.5678516,0.5802613,0.5652419,0.5251958,0.47632003,0.43597046,0.41034666,0.39617586,0.38759455,0.38220203,0.3795903,0.3793014,0.37973043,0.3791337,0.37637386,0.3714801,0.365783,0.36147368,0.36039814,0.36306047,0.36802462,0.3708357,0.36296496,0.33442554,0.28046596,0.20835583,0.13524647,0.081424735,0.06230532,0.08754609,0.15598746,0.25289726,0.34779546,0.40877476,0.41783598,0.38366655,0.3360783,0.30968454,0.32344362,0.368814,0.41668558,0.43630126,0.4185885,0.3828179,0.36453596,0.38593778,0.4379804,0.48693267,0.505517,0.49165606,0.4644206,0.44145802,0.42863157,0.4225351,0.41961336,0.4187455,0.41991016,0.4225539,0.42516145,0.4258034,0.42254665,0.4147078,0.40331188,0.39116743,0.38180718,0.3774635,0.37718654,0.37444067,0.360641,0.32957923,0.28518736,0.23828678,0.20105116,0.17716236,0.1629662,0.15106513,0.13714324,0.120240204,0.10211292,0.08615491,0.08096846,0.10151023,0.16273057,0.26254144,0.37542737,0.4628938,0.50337934,0.50299716,0.49026096,0.49021527,0.5116172,0.5412331,0.55525017,0.53586066,0.4858438,0.42564353,0.37710014,0.3484305,0.33539236,0.32963493,0.3266263,0.324981,0.3246034,0.32482943,0.32476676,0.3234843,0.32057425,0.31583378,0.30940202,0.30115062,0.29123676,0.28109026,0.27202126,0.26361433,0.25105676,0.23042358,0.20222361,0.1737572,0.15417433,0.15198098,0.17503668,0.2266555,0.3004937,0.3752314,0.4253207,0.43347964,0.40341642,0.3564674,0.32108143,0.31647092,0.34234938,0.380252,0.4067526,0.40923354,0.39497578,0.38458487,0.3967829,0.43111065,0.4690993,0.48922953,0.48508057,0.46618298,0.44612226,0.4315826,0.42184663,0.41433635,0.40797934,0.40277886,0.3983747,0.39375558,0.38820705,0.3817648,0.37518156,0.36907184,0.36386237,0.35987845,0.3572676,0.35504842,0.34910038,0.3333764,0.30268335,0.25877354,0.20998369,0.16813307,0.14100409,0.13063262,0.13365494,0.1447076,0.15784506,0.16847225,0.17576714,0.18546323,0.20944194,0.25856844,0.3310462,0.4084343,0.46473518,0.48570284,0.47699717,0.45905563,0.4524343,0.46602237,0.4938558,0.5170097,0.5190913,0.4960703,0.46077076,0.4284575,0.4070641,0.3943926,0.38561383,0.3779761,0.37120175,0.3657342,0.36175346,0.35896948,0.35624424,0.35189566,0.3446934,0.33523977,0.32544306,0.3175322,0.31172705,0.30654028,0.29664823,0.275928,0.23861472,0.1873026,0.13123828,0.08614647,0.065858044,0.08260148,0.13969672,0.2298299,0.33003688,0.41353357,0.45960402,0.46556708,0.4443269,0.41886222,0.40993455,0.42325696,0.44534305,0.45123908,0.42714486,0.3837235,0.35445678,0.36779964,0.42525986,0.49635243,0.5466811,0.5608959,0.55002266,0.53201747,0.5181053,0.50910807,0.50292486,0.49833345,0.49445713,0.49023032,0.48435938,0.47708747,0.46910343,0.46123847,0.45359203,0.4461467,0.43963477,0.43523678,0.43449953,0.43574765,0.43365815,0.41873124,0.38434485,0.33072615,0.2677962,0.20923753,0.16597758,0.1408074,0.12893642,0.122616015,0.11631975,0.11073923,0.11412994,0.14001578,0.19944747,0.2881076,0.38334695,0.45332706,0.48083428,0.47128597,0.4490323,0.4374845,0.44940844,0.48017558,0.5127073,0.5270563,0.51540667,0.48578465,0.45442107,0.4313908,0.4177061,0.409,0.40237042,0.39689708,0.39266014,0.38971636,0.38814768,0.3880734,0.38904157,0.3899939,0.3902031,0.39021444,0.39219955,0.3971745,0.40239283,0.3987634,0.37634066,0.33072233,0.27060187,0.21222635,0.17334862,0.1650443,0.19453798,0.2611273,0.35410666,0.4467043,0.5076344,0.5140088,0.46874776,0.39903668,0.34565952,0.33722213,0.3752451,0.43385294,0.48199,0.5026889,0.5019421,0.4991187,0.5115482,0.54103154,0.57221955,0.5861204,0.5752115,0.547889,0.5184403,0.49557278,0.48043156,0.46968064,0.46070364,0.4519433,0.4439238,0.43764853,0.43395135,0.43230376,0.43137822,0.42995882,0.42784914,0.42616513,0.42626074,0.4274756,0.42324543,0.40230775,0.35420963,0.28041837,0.19551931,0.12125347,0.0725815,0.05294613,0.0545381,0.06523364,0.07307047,0.07168652,0.06281152,0.057518005,0.073344894,0.12726286,0.22374375,0.34601438,0.46114478,0.53887683,0.56979805,0.5667052,0.55257016,0.5454709,0.5502513,0.5597427,0.5614464,0.551104,0.5335622,0.5197131,0.5132502,0.5119419,0.5104795,0.5076038,0.5048179,0.503977,0.50498337,0.50610036,0.5053188,0.501527,0.4953661,0.48874044,0.4843322,0.48341572,0.48515108,0.48464605,0.4728246,0.4385936,0.3752143,0.2883661,0.19597219,0.1216302,0.0832775,0.08998388,0.13996297,0.22078387,0.30830503,0.3740592,0.3983797,0.38130796,0.34360304,0.3156701,0.3213136,0.3638451,0.42249373,0.46618906,0.4734819,0.4498903,0.42314008,0.42201272,0.4528503,0.49470583,0.52030927,0.51714134,0.4948027,0.46902668,0.449554,0.4363406,0.426836,0.41960207,0.41451883,0.41161487,0.41058162,0.41169634,0.4143913,0.4172611,0.41758716,0.41379285,0.40695742,0.4006891,0.39906335,0.40209225,0.40500033,0.3987554,0.37652954,0.33678403,0.28538778,0.23193823,0.18594511,0.1521908,0.12962522,0.11338023,0.0995687,0.088102944,0.085005194,0.10157764,0.15223663,0.24182026,0.3571855,0.46625638,0.5401197,0.5691863,0.5693868,0.56405354,0.5684424,0.5793216,0.582084,0.5626169,0.5207208,0.46923685,0.42493692,0.39581046,0.3800694,0.37099576,0.36376926,0.35682586,0.35069022,0.34620795,0.3436531,0.34261405,0.3422824,0.34170195,0.34005967,0.33696473,0.3335661,0.33207414,0.33424017,0.33637047,0.33104447,0.310505,0.27667528,0.238149,0.20729132,0.19199146,0.19990428,0.23696594,0.30348456,0.38423717,0.4503832,0.47321108,0.4441643,0.38270476,0.3285309,0.31530038,0.35173273,0.41367188,0.46515897,0.4797398,0.4596025,0.43057132,0.4219401,0.44495535,0.48236182,0.50915354,0.5098706,0.49225608,0.47068438,0.45642915,0.4501321,0.44845024,0.4477478,0.44637337,0.4443964,0.44237384,0.44071722,0.43963766,0.4398197,0.44200614,0.4459829,0.44980887,0.45084193,0.44584754,0.4301034,0.39759803,0.34442106,0.27496997,0.20156093,0.13941203,0.09741371,0.07644785,0.07079365,0.07268757,0.0744349,0.07101702,0.0625637,0.05698389,0.06938823,0.117480636,0.20704766,0.32370374,0.43292633,0.5043861,0.52729803,0.51746446,0.50030166,0.49751034,0.51551384,0.5438447,0.56159955,0.54874086,0.49727634,0.41223872,0.3084078,0.20500036,0.11993735,0.06356299,0.034892265,0.025904939,0.028412705,0.038837794,0.05649574,0.079578385,0.10238906,0.11668735,0.11689808,0.10583344,0.095366895,0.10064927,0.12754792,0.16804504,0.20238598,0.21589486,0.20625614,0.18826787,0.18174791,0.20308991,0.24937187,0.29885808,0.3200595,0.2982123,0.24551384,0.19671325,0.18505101,0.22354575,0.29381168,0.35558882,0.37092462,0.33212996,0.26636115,0.21701555,0.21584445,0.26521578,0.33895186,0.39506188,0.40517795,0.36897922,0.31384596,0.26753932,0.242909,0.23527408,0.23525,0.23615551,0.23592143,0.23491319,0.23427854,0.23447919,0.23494613,0.2342744,0.2316779,0.22774337,0.22514683,0.2272373,0.23670928,0.2510971,0.26328552,0.26287696,0.2460386,0.21696651,0.18725353,0.16519089,0.15304534,0.14675538,0.14181805,0.13536303,0.12676722,0.11694464,0.11110198,0.12082189,0.16313967,0.2440496,0.3473468,0.43171075,0.46101096,0.42630708,0.35793105,0.30092993,0.29028103,0.32786343,0.3854603,0.42365813,0.4205978,0.38266692,0.33435157,0.29582652,0.27380452,0.264377,0.2621622,0.263298,0.26582953,0.2685199,0.27085793,0.27243984,0.2729799,0.2719843,0.26934183,0.26518866,0.26102266,0.25866315,0.25988805,0.26147285,0.2568691,0.23773862,0.2045033,0.16497542,0.13282175,0.11749044,0.12538743,0.15829243,0.21368797,0.2800517,0.3393651,0.3742132,0.37690315,0.35322857,0.3199092,0.29604027,0.2923523,0.30456614,0.31781137,0.3195176,0.3115403,0.31088606,0.33379367,0.38007405,0.42725074,0.45113266,0.44283965,0.4158734,0.38825366,0.3702307,0.3603867,0.35423574,0.34897998,0.34469125,0.34231663,0.34275356,0.34613097,0.35121724,0.3561798,0.3592135,0.3601792,0.3596259,0.35821208,0.35481188,0.34633803,0.32814476,0.29687268,0.25344226,0.2046384,0.1596403,0.1254018,0.103015214,0.08939431,0.0799802,0.07162138,0.063162275,0.05557412,0.053803515,0.06800567,0.11282871,0.1935709,0.29554448,0.3822025,0.42117366,0.40580606,0.3622582,0.32796237,0.32870156,0.36402854,0.411122,0.4408505,0.4389387,0.41291538,0.3831478,0.36356202,0.35600412,0.3542949,0.354164,0.3545672,0.35639808,0.35985756,0.36472753,0.37058106,0.37681094,0.3822794,0.38550544,0.3854116,0.3831857,0.38139388,0.38214362,0.38065824,0.36773315,0.33407593,0.28253224,0.225416,0.17949735,0.15392214,0.15107481,0.16773576,0.19847853,0.23462813,0.2657651,0.28322163,0.28408238,0.27349734,0.2643918,0.2705943,0.2974685,0.3335543,0.357193,0.35246918,0.32586244,0.30608785,0.32066,0.37098387,0.4243351,0.4430844,0.4144381,0.35940638,0.3082056,0.27664378,0.26224077,0.25566027,0.25097713,0.24576044,0.23944533,0.23213731,0.22529356,0.22047804,0.21823768,0.21768506,0.21771319,0.2185594,0.2221629,0.23113616,0.24434955,0.2548753,0.25136638,0.22734146,0.18674631,0.14288442,0.10834,0.08824397,0.07992535,0.07793057,0.07766357,0.07652978,0.073844425,0.07359717,0.08595884,0.12693526,0.20372331,0.30443463,0.394087,0.43979594,0.43059132,0.3882211,0.34784162,0.3376453,0.36153564,0.40085772,0.42777407,0.4261761,0.39989218,0.36620566,0.33888388,0.3216395,0.3105885,0.30192086,0.29442656,0.28844106,0.2843493,0.2815875,0.27955905,0.27756533,0.27550235,0.27314317,0.27054802,0.2686873,0.26961794,0.27573434,0.2847698,0.290181,0.28253308,0.26026484,0.22969037,0.2031882,0.18750723,0.18249936,0.18221594,0.18158184,0.17822897,0.17243932,0.16535191,0.15789019,0.15138175,0.14818649,0.15168303,0.1630464,0.17938618,0.19373834,0.20200883,0.20769157,0.22460286,0.26521412,0.33036795,0.40117547,0.45352015,0.47281805,0.46499923,0.44575486,0.4286169,0.41767207,0.41120613,0.4069043,0.40367293,0.40163222,0.40059647,0.40018496,0.39970586,0.39883113,0.39773393,0.39719877,0.39790702,0.40028217,0.40236452,0.39969358,0.3833566,0.3455995,0.2839214,0.20822014,0.13507544,0.080910474,0.051922042,0.04501292,0.05055049,0.058523733,0.061267596,0.056637544,0.04929385,0.05134712,0.080638416,0.15209313,0.26635182,0.40177426,0.52502203,0.6100082,0.65224963,0.66443086,0.6622377,0.65468997,0.6431504,0.6264081,0.6020914,0.5656276,0.5092789,0.42727128,0.3239772,0.21618666,0.12503189,0.06345884,0.030844564,0.017556863,0.013340398,0.012001867,0.011228745,0.010535091,0.009878277,0.0092533855,0.01021447,0.017169436,0.037858132,0.075815715,0.123978086,0.16223653,0.17193596,0.14860862,0.10874469,0.0781154,0.07980775,0.11980531,0.18352203,0.2380348,0.25353554,0.22190385,0.16616033,0.1229035,0.12035364,0.15947229,0.21491645,0.25004348,0.24105032,0.19375317,0.14073549,0.1232959,0.1662756,0.26618865,0.39174175,0.50462407,0.5790987,0.6133652,0.62046957,0.6147032,0.60354596,0.5895876,0.57457584,0.56097287,0.550273,0.5425742,0.53655845,0.53149533,0.5276303,0.52542305,0.5243009,0.52247643,0.5184462,0.5106817,0.49497315,0.463425,0.40834758,0.33102843,0.24466622,0.16860276,0.11674756,0.09148631,0.086024635,0.09048792,0.096498124,0.098710656,0.09558588,0.091190785,0.09612471,0.12728061,0.19721432,0.30359897,0.42181697,0.5206503,0.5797152,0.60158557,0.6012745,0.59339505,0.58490163,0.57608,0.5658154,0.5520385,0.53619075,0.51990503,0.5064278,0.49576733,0.48756984,0.48034522,0.4739633,0.4684159,0.46404544,0.46063587,0.4575843,0.4535822,0.44785717,0.44056645,0.43353006,0.4289358,0.4275708,0.42711183,0.42040548,0.39891264,0.3560512,0.29482853,0.22536321,0.16361585,0.1238014,0.11979977,0.16028063,0.24376981,0.3508675,0.44774833,0.5008959,0.49417424,0.4392134,0.3709718,0.3296707,0.338107,0.38667908,0.4430755,0.47291598,0.46405342,0.4317464,0.40826547,0.41851875,0.46028125,0.50804996,0.5344777,0.5323065,0.5127148,0.4910736,0.47478232,0.46341622,0.45440754,0.44637334,0.43931937,0.43313122,0.4270737,0.42017934,0.412212,0.40403244,0.3971779,0.39298132,0.3917081,0.39157617,0.3880583,0.3739818,0.3429455,0.29363182,0.23351616,0.1753931,0.13132878,0.10592123,0.09642038,0.09558181,0.0964475,0.094569184,0.08922412,0.08442119,0.090051346,0.121720254,0.19162048,0.29656196,0.41072676,0.49977437,0.5423436,0.5444657,0.52999854,0.52217835,0.52714276,0.53455496,0.52664423,0.49516785,0.4464655,0.3975601,0.36136305,0.34064415,0.32991657,0.3232172,0.31785107,0.3138688,0.3119175,0.31174693,0.3122916,0.31230065,0.31113848,0.30865744,0.30519342,0.30170658,0.30023536,0.30282778,0.30755064,0.30640075,0.28746018,0.24483989,0.18436404,0.123243175,0.08132783,0.07559831,0.11532987,0.19756772,0.30229792,0.3962282,0.44673315,0.43963686,0.38829264,0.32981953,0.3037233,0.32975852,0.39262822,0.4554697,0.4821566,0.46344563,0.41980577,0.38866642,0.39540413,0.43548515,0.479677,0.5014252,0.4962468,0.4786165,0.46336865,0.45555663,0.45299432,0.4532756,0.45607242,0.4613426,0.4679427,0.4733319,0.47485483,0.47103003,0.4629707,0.45365742,0.44656995,0.44353464,0.4438978,0.4437218,0.4349849,0.40810323,0.3568716,0.28587142,0.20967428,0.14628454,0.10642213,0.09034419,0.090205014,0.09630912,0.100808226,0.100118734,0.096880555,0.10148393,0.13084479,0.19704612,0.29511845,0.397727,0.47277114,0.5042505,0.5025756,0.4910916,0.4886411,0.49833974,0.5108385,0.51199293,0.4948835,0.4633193,0.42966637,0.40412065,0.39016756,0.38495374,0.3845499,0.38612399,0.38844767,0.3903483,0.3906478,0.38767317,0.38096133,0.3717023,0.36334693,0.3594216,0.36177132,0.36872992,0.3759531,0.37662885,0.36348045,0.33085552,0.27953437,0.21821694,0.16100037,0.12240744,0.114470504,0.14621812,0.21784335,0.31592104,0.41194463,0.47607934,0.49001613,0.45832932,0.40532383,0.36466658,0.36060843,0.39210895,0.43390286,0.4526362,0.43283868,0.3878443,0.3518757,0.3534975,0.39287612,0.44408926,0.47685876,0.48095798,0.46515393,0.4448333,0.4277304,0.4148804,0.40432444,0.39521673,0.38742277,0.38124093,0.37666035,0.373086,0.36932322,0.36473534,0.35996202,0.35709712,0.358029,0.36280861,0.3673904,0.36336723,0.34130907,0.29746154,0.23900217,0.18082358,0.13716926,0.11348659,0.10679173,0.10940496,0.11398906,0.11518923,0.11139809,0.10588772,0.10788583,0.13166694,0.18894653,0.27917144,0.38236603,0.4696516,0.51978743,0.5336783,0.52815723,0.52336854,0.5274245,0.5355284,0.53443104,0.5165518,0.48531875,0.4537739,0.4323106,0.42264518,0.41926122,0.41679052,0.41371477,0.41113254,0.41000557,0.41004762,0.41052213,0.41087663,0.4107038,0.40957662,0.40762222,0.40597448,0.40599597,0.40684855,0.40303633,0.3850247,0.344412,0.28114256,0.20620543,0.1370904,0.09061309,0.07894775,0.10941247,0.18063037,0.2782742,0.37379518,0.43610016,0.44537544,0.40606633,0.3457484,0.3028349,0.30355826,0.34486806,0.39667532,0.4233409,0.41053128,0.37439921,0.3492104,0.3576316,0.3932515,0.4258146,0.43053278,0.40569618,0.37031293,0.34249195,0.32864687,0.3241048,0.32247052,0.32010263,0.3164805,0.31287447,0.31049535,0.31034312,0.31223658,0.31544885,0.3184649,0.32002053,0.32040584,0.3220617,0.3287287,0.3405744,0.35279095,0.35653147,0.34743866,0.32807866,0.30734047,0.29227206,0.2854587,0.28438875,0.28540125,0.2855653,0.28413895,0.2829152,0.2869972,0.30435848,0.3406,0.3893629,0.42973384,0.43661466,0.40157482,0.34101892,0.28780934,0.2718463,0.30364564,0.3718361,0.44655666,0.50064254,0.5201893,0.512464,0.4890692,0.45651212,0.41142356,0.35052285,0.2781696,0.2057421,0.14541969,0.102873705,0.0777674,0.066689394,0.066090874,0.071807854,0.07804903,0.07948816,0.0735442,0.062454358,0.05130801,0.04582442,0.048607066,0.058274526,0.06971339,0.07855728,0.083146036,0.08547866,0.087254465,0.08889538,0.08905501,0.087066166,0.08340808,0.07942653,0.076476455,0.07489606,0.07464686,0.07490575,0.07490884,0.072987765,0.06979665,0.071526766,0.09331787,0.15045887,0.24537475,0.35774413,0.45601296,0.5176012,0.54265356,0.54638004,0.54355454,0.5399392,0.5357742,0.53202957,0.5316036,0.53619105,0.5434851,0.5481271,0.54549575,0.5348436,0.5197508,0.50517195,0.49499834,0.490195,0.48832202,0.48266527,0.46268603,0.41925064,0.35101798,0.26907125,0.19072644,0.13097385,0.09462047,0.07858644,0.075103305,0.076196544,0.07437313,0.066043414,0.05266053,0.043032933,0.050615415,0.09118893,0.17042853,0.27855992,0.38737178,0.4707438,0.5163569,0.5350017,0.5458451,0.56473655,0.5937586,0.62259555,0.63870096,0.635889,0.6198309,0.59999776,0.58377236,0.5720434,0.5634992,0.5566499,0.55147177,0.54756695,0.54464704,0.54209465,0.53994435,0.53806835,0.53662235,0.53562456,0.5357936,0.5370753,0.5374713,0.5298662,0.5038132,0.45030764,0.37058958,0.27789536,0.19248164,0.1324818,0.11035616,0.13269724,0.19725178,0.28797248,0.3745987,0.42525735,0.42288777,0.37716177,0.32163528,0.29450586,0.31495342,0.36697045,0.41243172,0.41697112,0.37727475,0.32176396,0.29272842,0.31632468,0.38596272,0.46741557,0.5255878,0.5461507,0.53893256,0.5214007,0.50509644,0.49228963,0.48177552,0.47325668,0.46729207,0.46393037,0.46173215,0.45914283,0.45518172,0.45020524,0.44509912,0.44105995,0.43893802,0.4380014,0.43481672,0.4212593,0.38895622,0.33346197,0.26217112,0.18943985,0.13114937,0.09411562,0.077568956,0.07424826,0.075907625,0.074267894,0.065353535,0.05191681,0.04540896,0.063188314,0.12024637,0.21770652,0.33566177,0.44161925,0.50965315,0.5362858,0.5382242,0.53753585,0.54558563,0.5588679,0.5644403,0.55294675,0.52569777,0.493377,0.46627784,0.44796172,0.43605867,0.4270444,0.41923276,0.41246068,0.40714502,0.4036186,0.4017327,0.40044904,0.39825988,0.39407465,0.38826045,0.382612,0.3794283,0.37945879,0.37907353,0.36981305,0.34200943,0.29288158,0.23068602,0.17141266,0.1308672,0.11965162,0.14483379,0.20630789,0.29414964,0.38281778,0.44381306,0.45623538,0.42308712,0.36849502,0.329659,0.33308515,0.37855852,0.43744254,0.4730713,0.4660052,0.426862,0.38921377,0.38382557,0.41751313,0.46777847,0.5069534,0.5219894,0.5218844,0.51965976,0.5221057,0.52683693,0.53073996,0.53239816,0.5323539,0.53105015,0.5287613,0.52565503,0.5220663,0.5188072,0.5168538,0.5169687,0.5194977,0.52332854,0.52491516,0.51444787,0.47958863,0.4110943,0.31511608,0.21088387,0.123232186,0.0670073,0.04481189,0.048223425,0.06526033,0.08271622,0.091710664,0.09017844,0.08695504,0.098900996,0.14625251,0.23679765,0.35684422,0.47098994,0.54708654,0.57517695,0.57338375,0.56820744,0.575814,0.59346396,0.60576606,0.59916186,0.5719444,0.5354179,0.50276774,0.48011968,0.46494818,0.45313033,0.4435109,0.43799973,0.4374082,0.4395773,0.43990925,0.43485972,0.42393517,0.41009638,0.39726937,0.38856602,0.38514042,0.3858825,0.38659063,0.3786988,0.3527379,0.30376992,0.23821533,0.17078336,0.119336195,0.09730328,0.11483309,0.17350577,0.26298392,0.353853,0.41052648,0.4082264,0.35368904,0.282881,0.24182816,0.256981,0.31717995,0.381585,0.40676984,0.3784245,0.32182753,0.28625217,0.30809852,0.38477254,0.4770267,0.5427682,0.565128,0.55694646,0.5396015,0.5259187,0.5169859,0.50980383,0.5030207,0.49668705,0.49063048,0.4835976,0.4746548,0.4639555,0.45285007,0.44315982,0.43659997,0.4346862,0.43744108,0.44187903,0.43894568,0.41699675,0.3675064,0.29501903,0.21492769,0.14673652,0.101485156,0.08017411,0.07531887,0.07741124,0.07742384,0.07071209,0.058890652,0.052214682,0.06753028,0.121537544,0.21678941,0.33362547,0.43622485,0.49682227,0.5128944,0.50708973,0.50654477,0.5248464,0.5542473,0.5742185,0.56717855,0.5326521,0.4861941,0.4454331,0.4142058,0.3814641,0.3326149,0.26356313,0.18460882,0.11334487,0.06404046,0.041520897,0.04220501,0.05748759,0.07683642,0.090611935,0.093958355,0.09027947,0.09001727,0.105327666,0.13811782,0.17655651,0.19784732,0.18835111,0.15177606,0.111573964,0.09348909,0.11505383,0.17248626,0.24142115,0.28546834,0.2802933,0.23166277,0.17533325,0.15489107,0.1914237,0.26709595,0.33280662,0.34278938,0.2867535,0.19500959,0.11185557,0.06476267,0.055252086,0.0688779,0.08948153,0.10639197,0.11539485,0.11731851,0.11458057,0.10932287,0.10248884,0.094746925,0.08661583,0.07852832,0.07065497,0.06322862,0.056546893,0.0509772,0.046633925,0.043352794,0.040729344,0.038335864,0.036308397,0.035702784,0.038623165,0.046050612,0.05620417,0.063895814,0.06452561,0.057214305,0.045852806,0.035271335,0.028195674,0.024318874,0.022136167,0.020435007,0.018856423,0.01831769,0.021293433,0.031603858,0.05103333,0.07673707,0.100394405,0.11404842,0.11454091,0.10597866,0.09519889,0.088354915,0.08733818,0.090217255,0.09199572,0.0885661,0.07915269,0.06695203,0.055900585,0.04805471,0.04296561,0.03923742,0.03592368,0.03286167,0.030294074,0.02843111,0.027257266,0.026636845,0.02640781,0.026475891,0.026692577,0.027001688,0.02827497,0.03298911,0.04481611,0.06466248,0.08816907,0.105906226,0.11089917,0.103192806,0.09054792,0.0812219,0.0791037,0.08203131,0.08510999,0.084275514,0.07863927,0.07066522,0.06441349,0.06302159,0.066732146,0.07268134,0.07688756,0.076803565,0.073009335,0.06859912,0.0676171,0.072778255,0.083970554,0.09755251,0.10829239,0.11233025,0.10941907,0.10215882,0.0936363,0.08574668,0.0790191,0.07343704,0.068771176,0.06476439,0.06104803,0.0573065,0.053338725,0.049123812,0.044843424,0.040844683,0.03762117,0.0363591,0.039370093,0.04996419,0.069124885,0.09321848,0.1136058,0.122854926,0.11892325,0.10659187,0.09225577,0.08044141,0.072222024,0.06688058,0.063111044,0.059828073,0.056819562,0.055114288,0.057056304,0.06429712,0.07616263,0.0883314,0.09578901,0.09551456,0.08950884,0.08304445,0.08256314,0.09073608,0.104989536,0.1176037,0.12191834,0.11615962,0.10500654,0.09452683,0.08876871,0.087620564,0.08888835,0.089712836,0.08866646,0.08609832,0.0845389,0.08708394,0.09545057,0.1078882,0.11948708,0.124917686,0.121936835,0.11329972,0.10559851,0.105578065,0.115686156,0.13179332,0.1456847,0.15063636,0.14577542,0.13540362,0.12515834,0.11819144,0.114446245,0.1115812,0.107408285,0.10137737,0.095397316,0.092702866,0.09528773,0.10196056,0.107892066,0.10828485,0.10134834,0.090187185,0.080235176,0.076972894,0.08326254,0.09823199,0.11667869,0.13154116,0.13784681,0.13568045,0.12883894,0.1214579,0.11539703,0.11063105,0.10654947,0.10284495,0.09938226,0.09593826,0.09233713,0.08846137,0.084462784,0.08041381,0.07646012,0.07265114,0.06972658,0.069347054,0.0740287,0.08487421,0.09988818,0.11383519,0.121884525,0.1225094,0.11817068,0.112282895,0.106979735,0.102397524,0.09787265,0.09273525,0.08684739,0.08085802,0.07623702,0.074839145,0.077514686,0.08334602,0.08956629,0.09351913,0.09400764,0.09210273,0.09013575,0.09070965,0.09506876,0.10224203,0.109057285,0.11264044,0.11210636,0.10909328,0.10535442,0.10184586,0.0983535,0.09471569,0.090761125,0.08647307,0.08193216,0.07763216,0.07431788,0.0725723,0.07245966,0.07342717,0.07442558,0.07444773,0.0736093,0.07397476,0.07903737,0.09052778,0.10621808,0.11983343,0.12623245,0.124576986,0.119292386,0.11554279,0.11613744,0.12001759,0.12387774,0.12455348,0.12085712,0.114394985,0.10828194,0.10515835,0.10532982,0.106733,0.10657966,0.103368215,0.098047696,0.09394721,0.09584118,0.10754744,0.12846692,0.15194969,0.16833812,0.1716337,0.16310646,0.1494096,0.1365301,0.12686324,0.11952873,0.11328543,0.107624315,0.10281921,0.099051744,0.0961056,0.09346831,0.09063501,0.08740431,0.08374322,0.079659455,0.07550287,0.07305821,0.0763608,0.089790046,0.11412001,0.14342564,0.16763717,0.17875157,0.17573161,0.16363037,0.14903317,0.13642487,0.12739484,0.12158641,0.11766133,0.114516206,0.112535715,0.11414849,0.121605136,0.13446482,0.14809842,0.15710603,0.15850754,0.15453643,0.15040697,0.1522441,0.16251831,0.17884614,0.19382004,0.2006738,0.19675326,0.18457533,0.16778193,0.14865433,0.12851247,0.10901928,0.09305957,0.08254197,0.07791191,0.07708525,0.077706136,0.077743076,0.0767504,0.07491677,0.07286512,0.07124579,0.07074786,0.07270673,0.078727216,0.08955896,0.10252742,0.11210317,0.113152884,0.10511729,0.09196151,0.079102896,0.06985384,0.06480845,0.062661715,0.06208666,0.06210311,0.062434215,0.062451135,0.06169517,0.059695497,0.056635723,0.052389264,0.047296938,0.045354124,0.05717055,0.09870058,0.17709358,0.28097457,0.37856027,0.44141912,0.45947728,0.4471533,0.42373744,0.40296054,0.38742915,0.37660083,0.3688669,0.36368454,0.35975385,0.35615894,0.3522729,0.34850696,0.34560895,0.34399208,0.34352696,0.3433474,0.34201255,0.33682087,0.32387164,0.29902735,0.2604662,0.21117568,0.15904571,0.113286175,0.080545396,0.06320546,0.061760347,0.07508982,0.1002765,0.13070917,0.15954824,0.18444347,0.21034165,0.24757671,0.29999462,0.36093011,0.41014734,0.43311724,0.42674458,0.4058322,0.38565752,0.37529397,0.37213877,0.36923245,0.36185244,0.34991667,0.337711,0.3284166,0.32329974,0.3206203,0.31838134,0.3150165,0.3102894,0.304986,0.3002753,0.29701027,0.2952467,0.29455468,0.29394028,0.2924331,0.28886318,0.28339705,0.27670848,0.26996592,0.2611286,0.24601151,0.21967815,0.18279004,0.14121975,0.10535079,0.08488894,0.089435905,0.12306432,0.1814835,0.24622755,0.2938402,0.30495426,0.27845034,0.23030156,0.18965952,0.1801614,0.20777272,0.252892,0.2853292,0.2832286,0.24998836,0.21128178,0.19611119,0.2163447,0.2574923,0.29486373,0.31133714,0.3087367,0.29735494,0.28600964,0.27658847,0.26808205,0.25962242,0.2513158,0.24378896,0.23770176,0.2336102,0.23139773,0.23019786,0.22883995,0.22646926,0.2230872,0.2194075,0.21623941,0.2130524,0.20675308,0.19271393,0.1680188,0.13499637,0.10048077,0.07197292,0.05385441,0.047499835,0.05330494,0.07049593,0.09559559,0.12133806,0.14173676,0.15618156,0.17143129,0.1935343,0.22209828,0.24791656,0.26214358,0.26270446,0.2563892,0.25160185,0.25237674,0.25594527,0.2565262,0.25014552,0.23787595,0.22390108,0.21226323,0.20394187,0.19811173,0.19335933,0.18899721,0.18459217,0.18011217,0.17576624,0.17197253,0.16905731,0.16711527,0.16583942,0.16453658,0.16240597,0.15943025,0.15628514,0.15360522,0.14981289,0.14180177,0.12659262,0.10512469,0.08139492,0.061389476,0.049939543,0.051788315,0.06893689,0.09914326,0.13231367,0.15566684,0.15899716,0.1424868,0.11545292,0.093904674,0.090340704,0.108135976,0.13734592,0.16302358,0.17327291,0.167201,0.1529368,0.1418879,0.14126758,0.14952303,0.1596751,0.16477664,0.16395985,0.16034566,0.1576054,0.1564486,0.15549122,0.15311895,0.14888103,0.14349048,0.13786593,0.13258058,0.12766875,0.123134814,0.11899012,0.115424134,0.112499334,0.11028096,0.1085512,0.10657799,0.102593504,0.09440315,0.080825664,0.06339679,0.045786053,0.03188437,0.023653105,0.021290423,0.023854187,0.029923895,0.03725932,0.04357266,0.047924746,0.051810622,0.05850138,0.06992235,0.084786065,0.09807486,0.10528141,0.104908526,0.09993193,0.09436843,0.09080804,0.08890721,0.08678424,0.082987525,0.077694125,0.07236958,0.068297505,0.06565971,0.063787214,0.061970312,0.059934262,0.057690144,0.05535988,0.053077012,0.051029924,0.049346656,0.04807632,0.047074143,0.04613626,0.04502328,0.04369287,0.042210322,0.04069038,0.038875073,0.03627739,0.032377027,0.027343765,0.021878997,0.017096093,0.013940024,0.013356723,0.015887199,0.021280283,0.027803823,0.032852456,0.034093477,0.031063342,0.025381818,0.020202845,0.018145518,0.02000664,0.023996955,0.027402781,0.02816015,0.02635689,0.023671113,0.02210547,0.022504022,0.024077572,0.025375431,0.02539091,0.024290398,0.022740617,0.021334315,0.020197839,0.019272057,0.01845216,0.017674977,0.0168923,0.016086677,0.015270273,0.014458616,0.013660693,0.012879301,0.012126974,0.011417595,0.010755103,0.010103471,0.0093671335,0.008409978,0.007138708,0.00560947,0.0040406114,0.0027033098,0.0017622453,0.0012136024,0.0009437905,0.0008286455,0.0007843932,0.0007605066,0.0007236681,0.0006693758,0.0006382917,0.00071849866,0.00097103155,0.0013696374,0.0017666587,0.0020030942,0.002000136,0.0018174001,0.0015668226,0.0013381211,0.0011512496,0.0009875232,0.0008233479,0.00065373257,0.0004901443,0.00034869136,0.00023866059,0.00016084821,0.000112790694,9.3477596E-05]