[0.06351557,0.06741568,0.07595954,0.08693359,0.09839489,0.109252535,0.11892312,0.1264909,0.13015504,0.12748863,0.116845004,0.09961326,0.081100635,0.06870519,0.06735971,0.077253655,0.094708614,0.11648816,0.14101563,0.1680969,0.19605531,0.2221507,0.24292254,0.25678158,0.26335964,0.26361525,0.25763267,0.24673705,0.2333798,0.22225256,0.21602982,0.2150416,0.21720557,0.22180684,0.22932398,0.23998618,0.2513394,0.25897038,0.2594041,0.25275302,0.24242435,0.23232852,0.22434372,0.21844679,0.2144265,0.21297298,0.21491332,0.22036147,0.22828954,0.2368315,0.2424136,0.24064344,0.22814417,0.20683569,0.18430215,0.17128682,0.17476755,0.19388114,0.21981716,0.24183421,0.25352588,0.25554922,0.2529597,0.25070527,0.25086528,0.25271663,0.25434363,0.25403094,0.2502608,0.24106635,0.2243522,0.19992702,0.17105412,0.14295083,0.119489186,0.10123997,0.087045394,0.07595318,0.06792427,0.062242985,0.057908747,0.054499377,0.05426802,0.060797576,0.07644331,0.099179916,0.12240002,0.1390654,0.14670044,0.1507142,0.16079111,0.18407005,0.21953285,0.25879696,0.29200354,0.31263277,0.31900588,0.31306222,0.29916942,0.2825321,0.26673993,0.2526721,0.23963886,0.227135,0.21507598,0.20265496,0.18956149,0.17726146,0.1698275,0.16996293,0.17685878,0.1858844,0.19402479,0.20233852,0.21502762,0.23295557,0.25027654,0.25686237,0.24546187,0.21767358,0.18334718,0.15736814,0.15225917,0.17355287,0.21406555,0.25742295,0.2846954,0.28624043,0.26598707,0.23914136,0.2209683,0.21668161,0.21874903,0.21534996,0.20137607,0.18265773,0.16931964,0.16723567,0.1737691,0.18261479,0.18859303,0.19168915,0.1944,0.20018698,0.20984226,0.22145647,0.22982185,0.22949077,0.21718824,0.19430377,0.16604756,0.13912764,0.118595906,0.105726205,0.09878447,0.095126204,0.09432861,0.09844158,0.11072853,0.13266098,0.16147046,0.19040088,0.21199553,0.22312887,0.22664289,0.22763444,0.2285152,0.2266074,0.2182107,0.20278263,0.18470798,0.16958155,0.15977387,0.15346088,0.14708214,0.1387616,0.12867515,0.118240654,0.10933745,0.10421789,0.10479633,0.11119536,0.121220626,0.13092047,0.13593048,0.13284017,0.12120613,0.105881006,0.09683734,0.10458585,0.13246138,0.17297582,0.2116624,0.23639822,0.24342905,0.23611808,0.22026767,0.20139338,0.18715243,0.1859026,0.2025571,0.23158503,0.2605096,0.27761292,0.2795496,0.26982975,0.2540809,0.23729734,0.22358818,0.21592504,0.21524906,0.21980155,0.22744744,0.23564953,0.24317046,0.24760596,0.24741483,0.24126257,0.23116636,0.22056271,0.21408407,0.21372908,0.21900325,0.22626482,0.23193018,0.23353188,0.23113853,0.22536427,0.2173781,0.20779198,0.19801943,0.1883748,0.17934237,0.17123012,0.1665573,0.16847153,0.17968035,0.20060982,0.22926353,0.26128098,0.2900126,0.30844247,0.31143364,0.29856256,0.27354312,0.24318357,0.21425252,0.19233745,0.1794641,0.17409015,0.17150502,0.16719727,0.15908647,0.14821468,0.1369787,0.12786485,0.12312239,0.12454307,0.13235737,0.14429261,0.15651828,0.16565742,0.17051639,0.17217629,0.1736213,0.1791671,0.19293971,0.21632828,0.24547856,0.27254644,0.29004982,0.29550326,0.29175055,0.28321517,0.27234426,0.25896245,0.2425024,0.22361614,0.20447755,0.18798663,0.17696904,0.17298359,0.17543073,0.18174975,0.18924938,0.19689177,0.2047004,0.21196073,0.21544264,0.21156879,0.1986872,0.17916127,0.15753625,0.13895296,0.12741344,0.12494341,0.1305104,0.13966478,0.14685063,0.14809535,0.14312232,0.1341411,0.12435287,0.11655966,0.11288041,0.11415791,0.119205,0.12517995,0.12904315,0.1294219,0.1271234,0.12454545,0.12464061,0.12985708,0.14067131,0.15482219,0.16763186,0.17485003,0.1744023,0.1675291,0.15737867,0.14870144,0.14683564,0.1558562,0.17555566,0.20011167,0.2214724,0.23446907,0.23973458,0.24143778,0.24299054,0.24520616,0.24725722,0.24920416,0.25195086,0.2565311,0.2624567,0.2686411,0.2732443,0.27417603,0.26796183,0.25308925,0.23269492,0.2159998,0.21062295,0.21603449,0.22222424,0.21981454,0.20800869,0.19494106,0.18873589,0.19164115,0.20085342,0.21390633,0.22988766,0.24756217,0.2629969,0.27260745,0.27538612,0.2739373,0.27113736,0.26917908,0.26959825,0.27363375,0.28103146,0.2887416,0.29285023,0.2911618,0.2849952,0.2775477,0.27160513,0.26795146,0.2652813,0.26069307,0.25099674,0.23395152,0.20989573,0.18146122,0.1529125,0.1278947,0.10841482,0.094209306,0.083809465,0.07552469,0.06838629,0.06220554,0.057257902,0.053719874,0.0519415,0.053092178,0.059579626,0.072732724,0.09078612,0.10786092,0.11831089,0.11947777,0.11380142,0.10546031,0.09937046,0.09948229,0.108974606,0.12812741,0.15342025,0.1787075,0.19841348,0.21025382,0.21506184,0.21528782,0.21325052,0.21076405,0.20889159,0.20802043,0.20758235,0.20666361,0.20461123,0.20174135,0.19861735,0.19560803,0.19292045,0.19298314,0.19958065,0.21584713,0.23886608,0.26196584,0.27811062,0.28588137,0.28747442,0.28597197,0.28237155,0.2756537,0.2641314,0.24588455,0.2208112,0.19057381,0.1592663,0.13144042,0.11161087,0.10234815,0.10374146,0.11231211,0.12276771,0.13007367,0.13228662,0.13026483,0.12611896,0.1214407,0.11790261,0.118332885,0.12573437,0.14053945,0.15917616,0.17604072,0.18715076,0.19159581,0.19053029,0.18478285,0.17506109,0.16391401,0.15657541,0.15825866,0.16884828,0.18277638,0.19258034,0.19522144,0.19222087,0.18764399,0.18467925,0.18497984,0.18849128,0.1934502,0.19717883,0.19703026,0.19146276,0.18005188,0.16403097,0.14723206,0.13592362,0.13569708,0.14732654,0.16531199,0.18215722,0.19306724,0.19841999,0.20025398,0.1994002,0.19397134,0.18190472,0.16376552,0.14352234,0.12643225,0.11470017,0.10717726,0.10197503,0.10037214,0.1043441,0.11184607,0.11506483,0.106647134,0.08653944,0.06290204,0.0455292,0.040125784,0.047397535,0.067092925,0.09873118,0.13971667,0.18174325,0.21389902,0.2282024,0.2246102,0.20955251,0.19147646,0.1767164,0.16787022,0.16430943,0.16399764,0.16486776,0.16590549,0.16614282,0.16516013,0.16266339,0.15961884,0.15685146,0.154563,0.15151413,0.14628111,0.13834769,0.12836953,0.11770263,0.10732881,0.09785649,0.089068264,0.08034667,0.0706834,0.059656646,0.047672763,0.035991672,0.02579321,0.017765976,0.0119176665,0.008077728,0.006735867,0.009961108,0.021560399,0.04414687,0.07584775,0.108773686,0.13370514,0.14556102,0.14598675,0.14017491,0.13290462,0.12733151,0.12587109,0.13024163,0.1399131,0.15113193,0.15906215,0.1606188,0.15619986,0.14798933,0.13753767,0.124488585,0.107375264,0.08592842,0.06212538,0.03990549,0.022674918,0.011765975,0.00606638,0.003553305,0.0024822562,0.0019494159,0.0015915129,0.0012926623,0.0010147797,0.0007603156,0.0005492373,0.0004328196,0.0010758401,0.0045175706,0.014581665,0.034502327,0.06367109,0.09542841,0.12054267,0.13243304,0.13104476,0.121040665,0.10866868,0.099210255,0.09661108,0.10218228,0.11372634,0.1258294,0.13321978,0.13350004,0.12791164,0.11943096,0.111256205,0.10630861,0.106758006,0.112888575,0.12208849,0.13003261,0.13321932,0.1308608,0.12449441,0.11640938,0.10865941,0.1033204,0.102194704,0.10606864,0.11321187,0.120340884,0.12402945,0.12291232,0.117281675,0.10892137,0.10051184,0.0963803,0.10058633,0.11456587,0.1342328,0.15256979,0.1633171,0.16513516,0.16045322,0.15332289,0.14704339,0.14391705,0.14561056,0.15352453,0.16885899,0.19155556,0.2183249,0.24262224,0.25792652,0.26369485,0.26682213,0.27634302,0.29470697,0.3144212,0.32438686,0.3194256,0.3051913,0.2925899,0.28841648,0.289459,0.286296,0.2722369,0.24967702,0.22840069,0.21727805,0.21804737,0.2248625,0.23324735,0.24593906,0.2746047,0.32512128,0.389594,0.44179285,0.4591949,0.43479657,0.38673687,0.3381875,0.30661622,0.29327214,0.29282603,0.29760373,0.30320656,0.3067476,0.30793056,0.30803525,0.30953225,0.31430945,0.3231995,0.33643004,0.35083315,0.3595492,0.35211292,0.3248136,0.28351527,0.24353063,0.21711145,0.20897096,0.21512945,0.22899504,0.24399757,0.2554661,0.26191226,0.26618862,0.27551374,0.29698363,0.33313236,0.3778099,0.4201016,0.4490688,0.45927826,0.44953012,0.42184082,0.38138506,0.33715603,0.30042017,0.27970752,0.27894437,0.29680553,0.32638416,0.35530078,0.36826098,0.35828507,0.3302641,0.30107692,0.28497848,0.28892684,0.30779293,0.33077976,0.34374985,0.33637777,0.30766603,0.2671469,0.22854541,0.19891666,0.17655587,0.15662396,0.14043075,0.13596396,0.15138291,0.18717916,0.23516352,0.28346622,0.32222435,0.34674355,0.35723123,0.36021218,0.36516967,0.38039806,0.40292242,0.419479,0.4139495,0.38268307,0.33750692,0.29772615,0.27563417,0.27113262,0.27606276,0.28244242,0.28618202,0.28660405,0.2842444,0.27962,0.2734798,0.26799166,0.26829356,0.27935016,0.2997861,0.31736365,0.31522986,0.2850816,0.2346897,0.18189947,0.14101325,0.11584869,0.10272223,0.09660846,0.09376646,0.09058874,0.08602332,0.08444532,0.09889382,0.14171793,0.21570055,0.30348614,0.37951696,0.42095852,0.42500457,0.40171632,0.36937162,0.34003794,0.3207259,0.31127766,0.31124818,0.32036352,0.33898482,0.36153877,0.3762829,0.37148818,0.34753907,0.3166779,0.29323903,0.282048,0.2812582,0.29057303,0.31174707,0.34087238,0.3625839,0.36104345,0.3318788,0.28737703,0.2451995,0.21754724,0.20744348,0.21290962,0.22951102,0.24925435,0.2592634,0.24926724,0.21873255,0.18168902,0.15744637,0.16168196,0.19996022,0.26688758,0.34870163,0.42236343,0.46710828,0.47072038,0.44100156,0.39577398,0.35521892,0.32971635,0.32122198,0.32532802,0.33427957,0.3402873,0.33808422,0.3297207,0.32009447,0.3149278,0.3157613,0.32531044,0.3435217,0.36661384,0.381647,0.3773557,0.35090426,0.31237388,0.27352315,0.24184906,0.21829867,0.20348762,0.19763009,0.19936614,0.2029822,0.20459545,0.20766415,0.22633441,0.27393234,0.35123673,0.43909073,0.51070833,0.5467589,0.5452134,0.5155086,0.47002235,0.41893277,0.3712543,0.33471993,0.31652653,0.32123533,0.34856153,0.3876156,0.41878787,0.42469606,0.40321806,0.36782527,0.33585086,0.31776616,0.3172064,0.3332014,0.3594718,0.3818004,0.3850393,0.3635944,0.32566735,0.28483388,0.24966387,0.22137725,0.19940557,0.18504249,0.17957349,0.18014757,0.18101566,0.17776145,0.17124783,0.1660667,0.16958404,0.18954344,0.23386927,0.2999576,0.37157,0.4196292,0.4263799,0.39602354,0.35460678,0.32487547,0.31398138,0.31406626,0.31607983,0.31638107,0.31526193,0.31343985,0.31129822,0.3094,0.3081777,0.3081356,0.3116784,0.32385027,0.34659076,0.37464723,0.3951545,0.40002385,0.39022353,0.3753167,0.36104855,0.3483459,0.33536616,0.3239522,0.31679416,0.31502733,0.3174959,0.32516906,0.34168503,0.37001106,0.407095,0.4446348,0.47444138,0.4925637,0.49913836,0.49377668,0.4772255,0.45085803,0.42049363,0.39069238,0.36698392,0.35342243,0.3561554,0.37497258,0.40118572,0.41738975,0.41302773,0.39018825,0.36257434,0.34152886,0.3322655,0.33568248,0.35056707,0.37145302,0.38551077,0.38231015,0.3608985,0.3339965,0.3152863,0.31158635,0.31877384,0.32916823,0.3365297,0.33919394,0.3387637,0.3379219,0.3376032,0.3365107,0.33345488,0.33189395,0.33998552,0.3653243,0.4063445,0.449608,0.47675288,0.47616148,0.45056555,0.41290656,0.377252,0.35110602,0.33538365,0.32716358,0.32284477,0.31986257,0.31822768,0.31981108,0.32597288,0.33529457,0.34502387,0.35436025,0.36378792,0.37095788,0.36705077,0.34316537,0.2991702,0.2477241,0.20493715,0.17934574,0.16819938,0.1651988,0.16749342,0.17621686,0.19044733,0.20681761,0.22476584,0.25192106,0.29784498,0.3614405,0.42557493,0.46828386,0.47888312,0.46343395,0.43468165,0.4022428,0.37003455,0.34109926,0.31984082,0.31158194,0.32124078,0.3489155,0.38655627,0.41707063,0.424917,0.40655836,0.37358665,0.3419576,0.3220625,0.3160043,0.3232892,0.34031284,0.35983226,0.36934683,0.3612646,0.33545434,0.30013415,0.26263627,0.22953844,0.20635812,0.20051092,0.2152773,0.24672525,0.28150204,0.30618727,0.31332424,0.30567446,0.28982922,0.2741599,0.26982668,0.2894511,0.33754823,0.39791462,0.44156757,0.44683412,0.41862473,0.38116398,0.35720873,0.35301778,0.35963365,0.36666313,0.36838353,0.36621094,0.3619672,0.35727122,0.35160005,0.34592155,0.34281144,0.3466928,0.35793602,0.36937416,0.36631235,0.33741578,0.28343537,0.21919756,0.16310866,0.1271632,0.11353153,0.11813048,0.13494933,0.15679944,0.17617631,0.18886769,0.19936419,0.22262423,0.2735066,0.3540583,0.44564947,0.52131444,0.5602353,0.5578857,0.52164006,0.4655883,0.4061204,0.357551,0.32833585,0.31970516,0.33150956,0.36160883,0.40434232,0.44337717,0.4613726,0.44813743,0.4115857,0.3688159,0.33754995,0.32660338,0.33607948,0.35757795,0.37610582,0.37602663,0.35105896,0.30888078,0.26521868,0.23083358,0.20671098,0.18873088,0.1765876,0.17388976,0.18244301,0.19751221,0.21146668,0.21904309,0.21988444,0.21685064,0.2171957,0.23409875,0.2796931,0.35259697,0.42818835,0.47409156,0.47083387,0.4283202,0.37243828,0.32765704,0.30319977,0.29721525,0.3029034,0.31312838,0.32140273,0.32451594,0.32458532,0.32700774,0.33612755,0.35183308,0.3723135,0.39277732,0.40607527,0.40005758,0.36865553,0.31678072,0.26450488,0.23119463,0.2264662,0.24064569,0.25623098,0.25673643,0.24052304,0.21789007,0.20664816,0.22016235,0.26204208,0.32214057,0.38231292,0.42672393,0.45208493,0.46526048,0.47166094,0.4677905,0.44639924,0.40845248,0.36505297,0.33169582,0.31909695,0.33298168,0.3697909,0.41612217,0.44788912,0.4475774,0.41507724,0.36972404,0.332675,0.31536472,0.31785986,0.33253005,0.34743312,0.34784427,0.327104,0.29074302,0.25312516,0.22359729,0.20237257,0.18684517,0.17761739,0.17636478,0.1783339,0.1761791,0.16812633,0.16302109,0.17148302,0.1952243,0.22429962,0.24557333,0.2535372,0.25332823,0.25265232,0.253105,0.24911581,0.2390735,0.22990076,0.23222,0.24746571,0.26596358,0.27504373,0.26797828,0.24753301,0.22147097,0.20042469,0.19060135,0.19265766,0.19981332,0.20719975,0.21531606,0.23061611,0.255554,0.28403485,0.3035827,0.3048993,0.2877047,0.25946572,0.22993754,0.20717221,0.19629781,0.19840752,0.21043849,0.22613169,0.2401881,0.24973786,0.25468984,0.25553986,0.25319165,0.24918015,0.24468057,0.24026428,0.2346924,0.22812198,0.22209676,0.22010241,0.22312672,0.2291448,0.23408385,0.23573965,0.23433869,0.23089023,0.22571914,0.21901762,0.21194674,0.20518513,0.19742472,0.18552963,0.16892506,0.15221532,0.14382173,0.14905447,0.16595843,0.18683203,0.20481199,0.21760601,0.2265945,0.23336518,0.23783897,0.2389446,0.23583232,0.22966652,0.2227631,0.21774377,0.21496962,0.21501382,0.22088295,0.24200547,0.28665614,0.3543321,0.42537728,0.47274533,0.47619486,0.44050047,0.38756022,0.34265974,0.31762275,0.31077197,0.3135376,0.31806526,0.32037163,0.31965223,0.3173528,0.315552,0.31649172,0.322462,0.33588108,0.3559216,0.3753302,0.38060626,0.36212334,0.3237522,0.28194562,0.25243902,0.2373681,0.22921737,0.22190231,0.21856345,0.22353111,0.23386769,0.24151345,0.24454308,0.25451443,0.28525764,0.3393699,0.40166545,0.45283088,0.48103115,0.48638323,0.47313014,0.44574174,0.40901175,0.3706641,0.34016833,0.32563296,0.33144286,0.35495302,0.3866543,0.41075632,0.41622207,0.40145218,0.377183,0.35451308,0.3406969,0.33700934,0.34409645,0.35918033,0.37397638,0.37583748,0.35765037,0.3222313,0.28023815,0.24046968,0.20772196,0.18369573,0.17084078,0.169936,0.17824195,0.18953936,0.19870746,0.20395654,0.2064383,0.20896643,0.21711397,0.24111474,0.2878023,0.35291955,0.4132241,0.44371378,0.43140057,0.3894185,0.34112486,0.30721596,0.29331645,0.29617783,0.30875373,0.3244408,0.33747062,0.34453097,0.346037,0.34487045,0.3444042,0.347569,0.3575805,0.3737724,0.38840902,0.3864077,0.35873842,0.311878,0.26825505,0.24783416,0.25389394,0.27008557,0.27619097,0.26205674,0.23443191,0.20827109,0.1987163,0.21372046,0.25555763,0.31840178,0.39030918,0.45333424,0.49267378,0.50005096,0.47904328,0.4404035,0.40005437,0.36945388,0.35302246,0.34743634,0.3504338,0.3641831,0.39029896,0.4209437,0.43744588,0.42575774,0.387804,0.34239808,0.30867037,0.29665256,0.30638173,0.33207962,0.36287287,0.3827181,0.37962005,0.35350898,0.31724897,0.28424656,0.2594656,0.23952095,0.22092181,0.20384134,0.19002356,0.17908019,0.1694876,0.16086954,0.15473263,0.15322906,0.1606871,0.18519954,0.2368902,0.31563756,0.40434206,0.470508,0.49011004,0.4615066,0.4093108,0.36157492,0.33490905,0.32774484,0.33109316,0.33639142,0.33878198,0.336244,0.3295941,0.32338846,0.3234778,0.3336108,0.3529363,0.37688124,0.39690256,0.40199915,0.38176608,0.3356599,0.27510172,0.21938731,0.18189536,0.16543235,0.16391702,0.17145847,0.18424655,0.19885951,0.21033597,0.21717165,0.22828121,0.25955817,0.32197586,0.406316,0.4887375,0.5430465,0.55972964,0.5420806,0.5020872,0.4489956,0.39351046,0.3463724,0.31979653,0.32083452,0.34837615,0.38967443,0.42434087,0.4335549,0.41314134,0.37578866,0.34167996,0.3243605,0.32547006,0.33957684,0.35697803,0.36743847,0.36016878,0.33385897,0.29626015,0.2617268,0.23766239,0.22341006,0.21287274,0.20282584,0.19284387,0.1833864,0.17305987,0.16038613,0.14682637,0.13892311,0.14695926,0.17916006,0.23723309,0.3122866,0.38714337,0.43921575,0.45288727,0.4282256,0.3843169,0.34389862,0.3199668,0.31006166,0.30753782,0.30800998,0.3114772,0.3158555,0.3181245,0.31526145,0.3086832,0.30207953,0.301249,0.3109556,0.33266023,0.3608724,0.38328776,0.38896966,0.37633058,0.35663828,0.3435417,0.34386107,0.35282695,0.36195412,0.36515066,0.36138865,0.35157368,0.3388213,0.3298004,0.3339716,0.35599104,0.3913871,0.42819628,0.45708445,0.47337636,0.47642902,0.4641385,0.43760264,0.4014989,0.3654816,0.33804956,0.32733774,0.33860648,0.37179688,0.41536748,0.44906795,0.45496354,0.4298391,0.38553143,0.34001073,0.30660665,0.29288685,0.30105308,0.32775876,0.3617336,0.38736126,0.39474902,0.3846843,0.3671253,0.35072517,0.33989647,0.33435118,0.3338472,0.33708882,0.3413916,0.34280717,0.33924556,0.33236706,0.32577822,0.32217348,0.3203725,0.31600282,0.30389574,0.28201675,0.25368586,0.22584777,0.20536225,0.19488491,0.1927061,0.19459476,0.19710706,0.19936532,0.20196627,0.20514692,0.20736003,0.20768048,0.20717996,0.20847033,0.21212365,0.21534188,0.21460654,0.20940043,0.20376472,0.20216167,0.20606424,0.21176322,0.21442838,0.21100406,0.2028129,0.1934221,0.1864457,0.1831475,0.18203443,0.18043818,0.17637871,0.1704765,0.1653511,0.16485135,0.17242391,0.18928029,0.21304931,0.23701806,0.2539483,0.25912595,0.2541564,0.24480706,0.23794538,0.23640768,0.23756935,0.23623633,0.22977237,0.22117664,0.21581222,0.2165836,0.22151907,0.22624022,0.22704004,0.2214519,0.20819353,0.18800943,0.16589183,0.14933819,0.14381503,0.14807276,0.15499334,0.15639645,0.14833234,0.13395385,0.12187018,0.12180411,0.1373656,0.16360568,0.1893092,0.20486756,0.20667724,0.19726676,0.18201017,0.16699749,0.15848611,0.16127025,0.17661822,0.20033759,0.22451098,0.24033439,0.24196582,0.22832559,0.20442937,0.18033783,0.16748428,0.17271598,0.19368838,0.22034301,0.24113923,0.25013813,0.24838305,0.24095218,0.23198436,0.2230737,0.2135457,0.20249872,0.18963909,0.17600344,0.16361749,0.15443404,0.14902455,0.14607078,0.14370717,0.14067906,0.1366878,0.13140611,0.12413612,0.11429348,0.10202396,0.08844485,0.07576117,0.06747497,0.068438075,0.08160588,0.10548409,0.13168712,0.1506166,0.15594138,0.14918597,0.13560076,0.1212407,0.109816365,0.1040158,0.10450628,0.109687634,0.11486768,0.115796536,0.11083695,0.1023792,0.09373776,0.08722835,0.082980834,0.08026659,0.07850055,0.07784777,0.078826986,0.08137814,0.084104426,0.08482328,0.08252116,0.07974563,0.08138869,0.09104761,0.10598206,0.11937222,0.1260399,0.1287663,0.13535814,0.15124838,0.17467587,0.1987697,0.21808241,0.23046409,0.23684444,0.23844923,0.23737086,0.23529595,0.23297052,0.22904338,0.22261661,0.21514387,0.2106405,0.211924,0.21778023,0.22328065,0.223544,0.21715094,0.20664172,0.19625938,0.18910308,0.18560608,0.18387143,0.18133833,0.17644788,0.16959006,0.16238494,0.15641105,0.1521914,0.14943351,0.14757739,0.14567518,0.1423098,0.13613324,0.12695567,0.11569094,0.10353146,0.09145555,0.08126416,0.07610848,0.08046263,0.096794836,0.12383438,0.15469857,0.1815574,0.19872022,0.20634723,0.20721191,0.20520473,0.20343477,0.2056287,0.2144931,0.22949179,0.24578027,0.25706005,0.2607446,0.25862178,0.25491464,0.25095513,0.24582909,0.23753619,0.22668774,0.21521781,0.20496733,0.19538772,0.18430156,0.17000331,0.15400971,0.14173919,0.14055568,0.15435086,0.1799695,0.20662163,0.22261822,0.22079079,0.20182061,0.17131197,0.13747336,0.109379835,0.09458538,0.09625548,0.11041927,0.12949394,0.14615433,0.15761001,0.16368276,0.1655957,0.16428731,0.16170435,0.16077675,0.16419178,0.17334418,0.18744439,0.20541687,0.22562587,0.24657576,0.26568115,0.28086635,0.29141727,0.29864147,0.30385572,0.30673262,0.3048478,0.29552492,0.27808824,0.25539294,0.23438187,0.22309332,0.22599357,0.23807734,0.24770336,0.24504197,0.23161732,0.21730466,0.21063109,0.21143962,0.21546191,0.22087444,0.2298919,0.2429951,0.25675064,0.26571083,0.2666448,0.2585869,0.24166858,0.21706307,0.1885351,0.16262852,0.14551216,0.13942961,0.14140944,0.14656751,0.15185332,0.15809186,0.16713302,0.1797421,0.19443864,0.21027665,0.22679901,0.24307318,0.25559452,0.25961897,0.25237253,0.2347221,0.21112029,0.18671082,0.16627824,0.15223436,0.1450821,0.14276241,0.14257509,0.14241259,0.14293222,0.14770299,0.16091846,0.18402423,0.21242827,0.23843229,0.25531948,0.26306614,0.26600757,0.26950088,0.2747607,0.28029883,0.28411782,0.28638116,0.28800327,0.28889525,0.28770474,0.28401935,0.2799219,0.27806032,0.27855492,0.2780474,0.27342176,0.26476124,0.25516096,0.24701144,0.2405736,0.23513003,0.23063858,0.22744335,0.22500683,0.22284152,0.22201896,0.22647512,0.23997219,0.26297098,0.29020658,0.3138187,0.32687566,0.3263595,0.3130113,0.2909486,0.26675436,0.2470398,0.23553018,0.23154849,0.23147173,0.2310565,0.22709751,0.21806766,0.20423885,0.18705206,0.16877876,0.15278558,0.14500208,0.15308408,0.18196957,0.22835453,0.2793913,0.31974486,0.3396664,0.3396972,0.32594788,0.30527362,0.28139114,0.2568375,0.23303115,0.21130584,0.19247644,0.18005513,0.18034707,0.199615,0.23671483,0.28051797,0.3139941,0.3238499,0.30731535,0.27450275,0.24500297,0.24253096,0.28322348,0.36470222,0.46153355,0.5391302,0.5751692,0.5722704,0.54998446,0.52741176,0.5127997,0.5054565,0.50186557,0.49968323,0.497961,0.4965185,0.49480692,0.49195004,0.48797515,0.48449147,0.48306802,0.4818641,0.47411916,0.45206833,0.41345778,0.36722896,0.32958257,0.31504855,0.32423624,0.3434111,0.35189247,0.33796597,0.30475643,0.26753,0.2425897,0.24080212,0.26746652,0.32038787,0.39117265,0.4629632,0.5230066,0.5629911,0.5825084,0.57590944,0.5387388,0.4715033,0.39095542,0.3223262,0.28868628,0.30047217,0.3517696,0.42516974,0.49410924,0.535057,0.53542393,0.5025514,0.45631954,0.4165813,0.39384827,0.38856688,0.39671257,0.40927804,0.4150119,0.40295246,0.37025568,0.32119873,0.26524493,0.21273921,0.17719252,0.17156403,0.20133406,0.2568519,0.3176376,0.3648533,0.38995996,0.39311802,0.37851557,0.35459253,0.3395772,0.35279846,0.40273347,0.47114345,0.5284328,0.5501457,0.53841764,0.5102082,0.48536453,0.47053817,0.46433786,0.4621565,0.46277902,0.46565333,0.46939126,0.47031036,0.46596122,0.45722368,0.44928077,0.4473982,0.45175532,0.45400205,0.44114968,0.40518153,0.3514923,0.29711446,0.25976393,0.24641441,0.25142384,0.26312327,0.27090642,0.26990747,0.26054463,0.25166535,0.25600898,0.28704724,0.34491906,0.41809037,0.48579025,0.535964,0.5634573,0.5695688,0.5509042,0.50709254,0.4434117,0.3740567,0.3142763,0.2773699,0.2754499,0.31394705,0.38395974,0.45331803,0.48612773,0.4635816,0.4024899,0.33586296,0.29269254,0.28055084,0.29391694,0.3189949,0.34063315,0.34302786,0.32097802,0.2815207,0.24144852,0.2124954,0.19872276,0.1984855,0.21069865,0.2329098,0.2576903,0.27529553,0.2790515,0.27029476,0.25508428,0.24336487,0.2471499,0.28011715,0.3456963,0.43218696,0.5111696,0.5591381,0.56629705,0.5451718,0.51325446,0.48720875,0.47239324,0.4684358,0.4700767,0.47342595,0.47666228,0.48047945,0.4848578,0.48823938,0.4882809,0.48501828,0.48096478,0.47831464,0.4753141,0.46639,0.44737157,0.41869578,0.38485873,0.34876025,0.3112682,0.27407214,0.2447976,0.23346192,0.24532543,0.27439067,0.30909786,0.34246293,0.37864634,0.4254715,0.48310694,0.54052234,0.5822038,0.5980111,0.5831735,0.53898674,0.4702911,0.391176,0.32064447,0.2800796,0.28190938,0.3276235,0.40133858,0.4772942,0.5241248,0.5259057,0.4863825,0.43109903,0.38441107,0.35935798,0.35410777,0.36256695,0.3794396,0.39689004,0.40614226,0.3993672,0.37643766,0.34093174,0.29909274,0.25886592,0.2320866,0.22842765,0.24808264,0.27797255,0.3014764,0.30786833,0.29800352,0.27908045,0.26196903,0.25986826,0.2858428,0.34423575,0.4220914,0.4945469,0.53953415,0.55241436,0.5439587,0.52964884,0.51949024,0.5163224,0.5191582,0.52477616,0.52949303,0.52935475,0.5232851,0.51297116,0.5023523,0.49494007,0.4937794,0.5011515,0.5164853,0.534493,0.5463564,0.54655737,0.53591067,0.52044994,0.50478065,0.4911221,0.48066232,0.47726586,0.4839565,0.4997989,0.5180273,0.53290987,0.54435176,0.55680424,0.57356566,0.5917046,0.60851765,0.62111855,0.63007605,0.6288917,0.61117464,0.5723064,0.5209705,0.4718187,0.4403542,0.4345689,0.45486513,0.49377152,0.53572637,0.5635324,0.5667101,0.5493402,0.5237774,0.5015645,0.48707148,0.480944,0.48315212,0.4913125,0.4989818,0.49835005,0.4875289,0.47092643,0.45587528,0.44674942,0.44646883,0.45636687,0.47547534,0.49671316,0.5099929,0.509219,0.49734914,0.48270443,0.4702945,0.45760974,0.4378222,0.4060085,0.36249042,0.31189957,0.2613467,0.21728955,0.18357696,0.15987724,0.14387263,0.13343924,0.1281143,0.12736548,0.12934558,0.13065638,0.12848116,0.12195145,0.112856716,0.10432121,0.09965849,0.10081788,0.10742972,0.116434135,0.12311771,0.123886205,0.1187628,0.11251312,0.1122407,0.123660564,0.14712249,0.17788081,0.20822328,0.23194343,0.24506843,0.24683468,0.23785938,0.22077526,0.19887412,0.17700695,0.16012625,0.15273619,0.15592758,0.16831589,0.18662918,0.2079254,0.22749163,0.23980127,0.2406696,0.2317404,0.21938531,0.21015628,0.20588148,0.2034315,0.19823241,0.18789947,0.17398949,0.16044925,0.15184325,0.15101153,0.1592933,0.17557772,0.1975249,0.22071618,0.24076211,0.25322255,0.25672448,0.2531761,0.24781393,0.24402626,0.24017811,0.23052305,0.21244639,0.191226,0.17725636,0.17706382,0.18799442,0.20144868,0.21080083,0.21580039,0.22013642,0.22673438,0.23504323,0.24257307,0.24720933,0.2486328,0.2477579,0.24572599,0.24374908,0.2428831,0.24385683,0.24606323,0.2475666,0.24558543,0.23755187,0.22240631,0.20210181,0.18250655,0.1718389,0.17571615,0.19302136,0.21505094,0.23133944,0.23476507,0.22448523,0.2037128,0.17785181,0.15376842,0.13877422,0.13915439,0.15575719,0.18321423,0.21021543,0.22662045,0.22746402,0.21608199,0.19952483,0.18561812,0.17932762,0.18269049,0.19344164,0.20599024,0.2138948,0.21405078,0.20792995,0.19949578,0.19147693,0.18468978,0.17912717,0.17545652,0.17382093,0.17350142,0.17417426,0.17789602,0.18782681,0.20397617,0.22089674,0.23001184,0.22482438,0.20382579,0.17039172,0.13088179,0.092966795,0.06338487,0.046181425,0.041900743,0.04844353,0.06220289,0.07866899,0.0930598,0.10122604,0.101707906,0.09706447,0.093468435,0.097531654,0.11327741,0.14085609,0.17724854,0.21653439,0.25082144,0.27282783,0.2796122,0.27415308,0.26294097,0.252624,0.24750412,0.24954446,0.25783837,0.26871872,0.2758733,0.27336264,0.25762814,0.23005062,0.19547015,0.16238776,0.13914953,0.13272923,0.14381374,0.16752088,0.19364226,0.21306592,0.22112967,0.22060035,0.21770497,0.21780495,0.2213812,0.22537057,0.2262634,0.222704,0.21491586,0.20270729,0.18520658,0.16380382,0.14509977,0.14007673,0.15633506,0.19188672,0.23338282,0.26529017,0.27742982,0.27102908,0.25474313,0.24069373,0.23669253,0.2436419,0.25433338,0.2604055,0.2574743,0.24852733,0.23769395,0.22633147,0.21120596,0.1910817,0.1692517,0.15384723,0.15137511,0.16338612,0.18403213,0.2036679,0.21251278,0.2056483,0.18383646,0.15368716,0.1250739,0.10897592,0.11230779,0.13470352,0.16743885,0.1984343,0.21768709,0.22128682,0.21122544,0.19402416,0.17843197,0.17264497,0.18020684,0.19826443,0.21864857,0.23319374,0.23693283,0.2305814,0.21875088,0.20877166,0.20630948,0.21278141,0.22394378,0.23334265,0.23697819,0.23564275,0.23297115,0.23052026,0.22635795,0.2181346,0.20740373,0.19940855,0.1977942,0.20133805,0.20412599,0.19987248,0.18508458,0.16228372,0.13966714,0.12809764,0.13380563,0.15524898,0.18293118,0.20590954,0.215427,0.20892574,0.18958433,0.16611944,0.14973515,0.14976257,0.16890375,0.2010517,0.23395808,0.2546287,0.25514475,0.23591043,0.20592801,0.17881905,0.16674769,0.17401694,0.19596381,0.22154804,0.24024813,0.24588609,0.23888755,0.22337146,0.2051862,0.1894625,0.18112266,0.1840148,0.1992768,0.22269998,0.24531908,0.2577275,0.25493383,0.23805088,0.21278413,0.18734074,0.16992152,0.16492926,0.16998477,0.17753793,0.18064614,0.17707653,0.16876751,0.15828331,0.14876121,0.14360006,0.14628698,0.15576558,0.16771954,0.17788668,0.18683796,0.1966344,0.20639457,0.21197848,0.21225667,0.21205564,0.21797913,0.23081952,0.2445792,0.25166836,0.24863346,0.23722774,0.22146915,0.20607065,0.1945901,0.1902867,0.19362575,0.20308036,0.21363069,0.22098969,0.22252397,0.21987511,0.21572573,0.21295422,0.21325998,0.2179067,0.22679794,0.23704262,0.24384707,0.2425889,0.2322443,0.21536958,0.19705744,0.18201523,0.17318714,0.17118187,0.17466259,0.18107842,0.18688077,0.18869723,0.1837488,0.1718688,0.15604262,0.14254205,0.13674037,0.1394703,0.14644144,0.153542,0.16141991,0.1739366,0.19251643,0.21242577,0.22766447,0.2355154,0.23935352,0.24176244,0.24221937,0.23589958,0.22069035,0.19970101,0.18062313,0.16982192,0.16690111,0.1660806,0.16090178,0.15138835,0.14324236,0.14427656,0.15836014,0.18650581,0.23001416,0.2937605,0.3782604,0.4722778,0.54996514,0.588696,0.5832407,0.551569,0.5173839,0.4959949,0.48847887,0.48883703,0.49138668,0.49293342,0.493739,0.49528953,0.4997716,0.507266,0.5166206,0.52601045,0.5329259,0.53179175,0.51349145,0.47093943,0.4063697,0.33474383,0.27555838,0.24109177,0.22841232,0.22524266,0.22088875,0.21396106,0.20807536,0.20698637,0.21326156,0.23522393,0.28231457,0.35834017,0.4491919,0.5335259,0.591338,0.61796945,0.6164314,0.59572333,0.5638487,0.5305987,0.5047271,0.49327958,0.5003586,0.524585,0.55759484,0.5823541,0.58313674,0.5545993,0.5084466,0.46294418,0.43343353,0.42398188,0.4324529,0.4497393,0.46392706,0.45952535,0.42858914,0.37354434,0.30864158,0.24931382,0.20603417,0.1812126,0.17234255,0.1751125,0.18431656,0.19476825,0.20279254,0.2087424,0.21625185,0.23036589,0.2555625,0.29718292,0.35742632,0.43035996,0.49664053,0.53420824,0.532293,0.5014091,0.46378073,0.43863156,0.4321098,0.44026366,0.45562887,0.47233352,0.486686,0.49725437,0.50406057,0.5081261,0.51072717,0.5133477,0.51750034,0.52184963,0.5208964,0.5056196,0.47143397,0.42146006,0.3657309,0.31192896,0.2627833,0.21773012,0.17920972,0.15129203,0.1358047,0.1289152,0.1279592,0.13829161,0.17590658,0.2515222,0.35943782,0.4712747,0.5590178,0.6062642,0.61804837,0.6047546,0.5789663,0.55087537,0.5288151,0.51749825,0.51559615,0.52427334,0.542514,0.56719536,0.5838364,0.5794289,0.54989237,0.5075206,0.46934918,0.44740298,0.44367245,0.45300445,0.46589363,0.4699632,0.45381585,0.41451478,0.3602132,0.30660725,0.26627693,0.24393679,0.23622595,0.23688965,0.23931967,0.2388177,0.23377652,0.22795384,0.22761428,0.23748167,0.2571799,0.28586277,0.32766035,0.38659048,0.45768747,0.5192557,0.5508585,0.54645944,0.5230729,0.5007424,0.49045935,0.48849705,0.487329,0.48203203,0.47326425,0.4641348,0.4585962,0.45793092,0.4612008,0.4651135,0.46848527,0.4720181,0.4753822,0.47183526,0.45020115,0.4053388,0.34622833,0.29181746,0.25683978,0.24215877,0.23940952,0.24034373,0.24280451,0.2462191,0.24906357,0.2511524,0.26016152,0.29134843,0.35533676,0.44668713,0.54139024,0.61354035,0.6482904,0.6491225,0.62701637,0.5940945,0.55710644,0.5200169,0.4853246,0.45783386,0.44723105,0.46051311,0.49477088,0.5302709,0.54787374,0.54065275,0.5212839,0.50439066,0.49755648,0.4977951,0.49906766,0.49370718,0.47411993,0.43611023,0.38410988,0.329602,0.28438583,0.25367084,0.23579709,0.22580938,0.2188554,0.2116797,0.20281692,0.1942675,0.19136609,0.20014833,0.22249043,0.25611663,0.29936326,0.35502717,0.42285466,0.49224755,0.54161024,0.556631,0.53974134,0.5103056,0.48599592,0.4744289,0.47173485,0.47212514,0.4723053,0.4723554,0.4727912,0.47337678,0.47357556,0.47364053,0.47485578,0.4791011,0.4872496,0.49757504,0.5049774,0.5043649,0.4946579,0.48064408,0.46902755,0.46383274,0.46435407,0.46748635,0.47052082,0.47263566,0.47424245,0.47647393,0.48133054,0.49235997,0.5119154,0.5378091,0.56171393,0.57597566,0.5785151,0.57341766,0.5629961,0.5460808,0.5214489,0.49324426,0.47004977,0.45947292,0.466664,0.49262205,0.5331246,0.57492495,0.59897906,0.59269375,0.5584255,0.51430696,0.47859117,0.4612845,0.46047553,0.4693432,0.48016798,0.48535204,0.48171493,0.47019878,0.45842806,0.451725,0.45283663,0.45787263,0.46375516,0.4671863,0.46892524,0.46944284,0.47080025,0.47304043,0.4760368,0.47803345,0.47680798,0.46859276,0.44816017,0.41253117,0.36399448,0.31236613,0.26781213,0.23614945,0.21530885,0.20139301,0.19244225,0.19065948,0.19848745,0.21528496,0.23593979,0.25358352,0.263222,0.26342702,0.25549525,0.24177732,0.22551863,0.21063723,0.20113647,0.19887221,0.20254366,0.20743918,0.20796324,0.20039053,0.18631499,0.17182405,0.1639279,0.16445725,0.16864543,0.16842687,0.15870106,0.14130689,0.12428787,0.117763184,0.12780817,0.15263945,0.18359728,0.2104553,0.22719406,0.23310919,0.23070371,0.22234501,0.20951225,0.19333781,0.17608827,0.16194208,0.15675052,0.16495006,0.18590392,0.21212058,0.2338325,0.24451543,0.2443191,0.23693448,0.22630866,0.21436149,0.20165242,0.18778206,0.17230548,0.15550624,0.13883805,0.124226265,0.11325223,0.10725501,0.10787644,0.11686609,0.13387118,0.15467067,0.17123492,0.1768253,0.17096536,0.16157256,0.15884785,0.16811113,0.18588378,0.20381896,0.21439333,0.21457292,0.20608787,0.19406144,0.1849715,0.18307738,0.1882226,0.19635165,0.20371066,0.20941442,0.21517856,0.22199148,0.22916067,0.23486866,0.23852117,0.24040149,0.2413174,0.24071611,0.2366163,0.22543931,0.20453455,0.17503904,0.14378273,0.12073601,0.11311394,0.120839246,0.1368271,0.15274803,0.16392057,0.17084189,0.17602445,0.18122375,0.18651001,0.19160968,0.1971575,0.2047755,0.21584426,0.2299665,0.24436384,0.25499666,0.2586371,0.25435844,0.24342585,0.22811858,0.21068972,0.19354363,0.17929058,0.17048962,0.16755939,0.16810922,0.16774233,0.16364866,0.15673287,0.15072797,0.14852585,0.1492778,0.14914638,0.14441828,0.13428819,0.12096945,0.10733483,0.09515479,0.08491137,0.07772681,0.07572765,0.08046765,0.090816975,0.10305538,0.11329948,0.118929036,0.11869902,0.11259866,0.103655964,0.09957555,0.10985139,0.14005475,0.18605077,0.23646955,0.27791658,0.30209315,0.3066047,0.29488805,0.27339187,0.24979223,0.23027392,0.218149,0.21372378,0.21469156,0.2180719,0.22059222,0.22050507,0.21531023,0.20445096,0.18912178,0.17624553,0.17253743,0.18113774,0.19557674,0.20503984,0.19940442,0.17735207,0.14605908,0.1187594,0.1064909,0.11338764,0.13416332,0.15859191,0.17667954,0.18273161,0.17559707,0.15758686,0.13478221,0.11699424,0.11577251,0.13846982,0.18271081,0.23568372,0.2806889,0.3060615,0.3107188,0.30155146,0.28734186,0.27256963,0.25750855,0.24107231,0.2248304,0.21260546,0.20790036,0.21107833,0.2197795,0.23065688,0.24085627,0.24767399,0.24870776,0.24235044,0.22893113,0.21012746,0.18867482,0.16787471,0.1518354,0.1437134,0.14391279,0.14951734,0.15650655,0.16230094,0.16662276,0.17051606,0.17499234,0.18052073,0.18732077,0.19563706,0.20585401,0.21790262,0.23121083,0.24398048,0.25412276,0.25962225,0.2605734,0.25848225,0.25587434,0.25464293,0.2564905,0.2627461,0.27326998,0.28565267,0.2955176,0.29953668,0.29624036,0.28651896,0.2723948,0.25809443,0.24955143,0.25140283,0.2625765,0.2746468,0.27782074,0.26750046,0.24799307,0.22716773,0.21162675,0.20493746,0.21030356,0.23034358,0.2633839,0.3013593,0.33335385,0.3518051,0.3553501,0.34647393,0.32882926,0.30713448,0.28738487,0.27500775,0.27000454,0.26688886,0.25806832,0.24021073,0.21557857,0.18983276,0.16919364,0.15824057,0.15941934,0.1706168,0.18581426,0.19697529,0.19887583,0.1913107,0.17937607,0.17089914,0.17403133,0.19299215,0.22565065,0.26208213,0.29053798,0.30350813,0.30294967,0.2959682,0.28895363,0.28259656,0.273986,0.2608502,0.24443488,0.2286945,0.21686608,0.21004635,0.20764838,0.21201605,0.23008275,0.27347365,0.347604,0.4446992,0.53904957,0.6035641,0.62298083,0.60471225,0.56723803,0.5295461,0.500867,0.48268524,0.47158918,0.4644072,0.45979902,0.45807555,0.45861623,0.4590832,0.45782086,0.45633242,0.45852184,0.46367612,0.46292993,0.44240692,0.3961829,0.3326259,0.2698798,0.22191589,0.19147976,0.17442113,0.1679018,0.17288251,0.18865462,0.20979725,0.2307273,0.2549874,0.29636672,0.36628473,0.4589317,0.5502532,0.61569476,0.64596874,0.64853865,0.63437176,0.6106882,0.5819025,0.5543937,0.5359002,0.53184265,0.54338574,0.56509346,0.5848148,0.58703494,0.5639556,0.52330655,0.4842932,0.46298826,0.46213052,0.47366253,0.48686656,0.4920236,0.48017633,0.44538796,0.39128515,0.33159006,0.2832732,0.25528082,0.24526753,0.24402805,0.24337953,0.24030225,0.23643948,0.23538409,0.24034636,0.2517868,0.26781133,0.28691936,0.31307808,0.35595492,0.41965714,0.4939468,0.55212814,0.5743258,0.55874234,0.52697647,0.49954447,0.48718044,0.48504302,0.48578477,0.4835875,0.47734833,0.46931192,0.46351993,0.46443143,0.47307587,0.4877025,0.50408435,0.5188891,0.5261233,0.5182265,0.48658857,0.43278706,0.36811543,0.3098707,0.26696965,0.23922962,0.22185068,0.2136867,0.21582979,0.22678477,0.24218841,0.2607369,0.28935316,0.33747002,0.4058195,0.4815351,0.54620403,0.5882865,0.60529494,0.59984446,0.57573277,0.54155636,0.5100055,0.49162742,0.4894675,0.50016737,0.5222637,0.55335444,0.58805156,0.6116442,0.6136603,0.59269667,0.5617736,0.5338755,0.5172283,0.5107809,0.5081956,0.49864885,0.47141287,0.42386726,0.36535457,0.31145748,0.27223584,0.24761195,0.23378503,0.23014374,0.23808138,0.25326476,0.2645707,0.2618765,0.2448383,0.22206329,0.20498262,0.20448442,0.23245764,0.29871032,0.39931777,0.51040936,0.5953467,0.6300618,0.6147954,0.57343507,0.530574,0.50164175,0.48816714,0.48691285,0.49266982,0.5005287,0.5064938,0.50897545,0.50975865,0.51158166,0.51618546,0.5231924,0.5299189,0.53082865,0.5179762,0.4855235,0.435336,0.37749878,0.32446215,0.28366014,0.25655308,0.24130036,0.23561956,0.23608677,0.23847198,0.2414309,0.25107273,0.28100383,0.3418111,0.4304532,0.5266106,0.60696864,0.6573371,0.67819357,0.67301416,0.64635825,0.6030422,0.55698204,0.5221768,0.50846905,0.51407474,0.5322098,0.55324435,0.5672063,0.56726533,0.5527365,0.5322936,0.5152933,0.5081794,0.509464,0.5152506,0.51639277,0.5023007,0.46284595,0.40090802,0.3315314,0.275699,0.24406517,0.23548798,0.2411492,0.2541382,0.26876757,0.27944124,0.28024533,0.27045438,0.25545132,0.24330036,0.23932363,0.24721687,0.27378127,0.32495198,0.39836642,0.47393915,0.52892226,0.54899234,0.5421677,0.5225827,0.5040775,0.48991755,0.48243746,0.48234537,0.49085566,0.50457746,0.518184,0.5260962,0.5265312,0.5217633,0.51748866,0.51987666,0.530943,0.5464974,0.5574004,0.55673623,0.5445077,0.52745616,0.5131605,0.50472057,0.5008183,0.4983338,0.4956348,0.4922078,0.48859882,0.48694703,0.49180067,0.50869685,0.5375478,0.57210803,0.601178,0.62055045,0.62967366,0.6316993,0.62280035,0.6013287,0.56857854,0.53359294,0.5055101,0.4919137,0.49835572,0.5245819,0.56159616,0.59064263,0.59667856,0.5784021,0.54870087,0.5231053,0.5092377,0.50776535,0.5150549,0.52660185,0.5353265,0.5348901,0.52341795,0.50575656,0.48964754,0.48042426,0.4782854,0.4808288,0.48588595,0.4930599,0.50162023,0.50932604,0.5137091,0.5135751,0.5110956,0.5080741,0.50510937,0.49709725,0.47752723,0.44135365,0.39231563,0.34026065,0.29516423,0.25977805,0.2307492,0.2053655,0.18513568,0.1747611,0.17596476,0.18669198,0.20117752,0.21486478,0.22490214,0.2313307,0.2342969,0.23370332,0.22837196,0.21757953,0.20223658,0.18668468,0.17714922,0.17845732,0.18934835,0.20387445,0.21519202,0.22045834,0.21984746,0.21444438,0.20447749,0.1906455,0.17524235,0.16149525,0.15138929,0.14417177,0.13873334,0.13646333,0.14229895,0.15874697,0.1818111,0.20059486,0.20634228,0.19812979,0.18445922,0.17567103,0.17802782,0.19045527,0.20745528,0.22293955,0.23298861,0.23625113,0.2329935,0.22468607,0.21356523,0.20211715,0.19204497,0.18405838,0.17888772,0.1774586,0.18016665,0.18473919,0.18745755,0.18481421,0.1765035,0.16409123,0.150142,0.13622817,0.124421634,0.11664375,0.11466854,0.117273726,0.121946655,0.12542626,0.12761687,0.13021652,0.13815618,0.15474719,0.18002535,0.20619072,0.22335058,0.22483039,0.21347457,0.19805153,0.18783194,0.18721928,0.19493379,0.20634095,0.21619947,0.22159761,0.2223698,0.22079492,0.21900745,0.21805112,0.21709396,0.21604733,0.21543896,0.21706782,0.22058825,0.22418706,0.223943,0.21738555,0.20394778,0.18638809,0.16824596,0.15259175,0.14078893,0.13461037,0.13627549,0.1473971,0.16510677,0.1824915,0.19135381,0.18811418,0.17636715,0.16522898,0.16375558,0.17446865,0.19277132,0.21006972,0.220816,0.22424604,0.22377545,0.22286002,0.22330159,0.22487237,0.22590183,0.22440903,0.21849227,0.20819356,0.1953506,0.18305199,0.17322206,0.16595162,0.16072695,0.15814626,0.16007711,0.16702574,0.17625885,0.1825207,0.18135555,0.17161982,0.15577032,0.13836162,0.1250151,0.1203476,0.12658991,0.14138906,0.159123,0.17253089,0.17657965,0.17062594,0.1610309,0.15848534,0.17237721,0.20230585,0.23792803,0.26500502,0.27514464,0.26847956,0.25114563,0.23066533,0.21346599,0.20390093,0.20333529,0.20998919,0.2196645,0.22757143,0.2298017,0.22437377,0.21185227,0.19571501,0.18178265,0.17548181,0.17860605,0.18743138,0.1949111,0.19547133,0.18865502,0.17944926,0.17403466,0.17606115,0.18446404,0.19539873,0.20500672,0.2113217,0.21386005,0.21178024,0.20309846,0.18718131,0.16763496,0.15388943,0.15487105,0.17324112,0.20099133,0.22624826,0.23981178,0.24061851,0.23273104,0.22165775,0.21119846,0.20286387,0.19635017,0.19048816,0.18492906,0.18149908,0.18300886,0.19086635,0.2019896,0.21027486,0.20983784,0.19927524,0.18165998,0.16211526,0.14484023,0.13265355,0.12717734,0.12887615,0.1354506,0.14337017,0.14946859,0.15382738,0.15753771,0.16110484,0.1622018,0.15772156,0.14581227,0.12887499,0.1132781,0.1070557,0.114988804,0.13596977,0.16329563,0.18838288,0.20448472,0.20851801,0.20129932,0.18667178,0.17097871,0.16117465,0.16141024,0.1702354,0.18037069,0.18419325,0.17838311,0.1667449,0.15532178,0.14851882,0.14662422,0.14945851,0.15754901,0.17113249,0.18648165,0.19715281,0.1979159,0.18881154,0.1740408,0.15914465,0.14904682,0.14741264,0.15546507,0.1694204,0.18126392,0.18268766,0.17081909,0.14984573,0.12851657,0.11582678,0.11760815,0.13427004,0.15995628,0.18422346,0.1977808,0.19750156,0.1875866,0.17467183,0.16312034,0.15414953,0.14775316,0.14449902,0.1440317,0.14544415,0.14795673,0.15317301,0.16313563,0.17789353,0.19394356,0.20659965,0.21292908,0.21242042,0.20600481,0.19461961,0.18010463,0.1647164,0.15129389,0.14149481,0.13654055,0.13647227,0.14054932,0.14654148,0.15194392,0.15498874,0.15515693,0.15296693,0.1497911,0.1484385,0.15221415,0.16328537,0.18049096,0.19993187,0.21677123,0.22791475,0.23264079,0.23210664,0.22758818,0.21939321,0.20673425,0.18887456,0.16615324,0.14046422,0.11446217,0.090866305,0.07160645,0.05850391,0.05408125,0.06171836,0.08322362,0.115535915,0.15028137,0.17750019,0.19120757,0.19154453,0.18266906,0.16869843,0.15170132,0.13225625,0.11120424,0.090402864,0.07224089,0.058390234,0.04907836,0.043221366,0.039515097,0.03767082,0.03906543,0.045768183,0.058587626,0.07533523,0.09139687,0.10173669,0.10327887,0.096240275,0.08515189,0.079026125,0.08802938,0.117310144,0.16092366,0.20436044,0.2327596,0.24050005,0.23181157,0.21651293,0.20398194,0.20061348,0.2083929,0.22466008,0.24356198,0.2582452,0.26278865,0.2537163,0.2332166,0.2105244,0.19798367,0.20162678,0.21596195,0.22794522,0.22825581,0.21830617,0.20833664,0.20819326,0.22170715,0.24878104,0.2930514,0.36139965,0.4539732,0.55319065,0.6295023,0.66018033,0.64496624,0.60334355,0.5589182,0.526653,0.50969434,0.5045843,0.5054064,0.50782114,0.50882125,0.50787616,0.5047396,0.50048745,0.49652484,0.49564898,0.49811682,0.49941877,0.48993436,0.46223655,0.4171596,0.3643619,0.3157204,0.27917007,0.2573029,0.2488057,0.2500248,0.25502822,0.25712264,0.254104,0.25405136,0.27715766,0.34028003,0.44295135,0.556755,0.6487041,0.6946585,0.6961909,0.6615227,0.60529447,0.5364655,0.46699277,0.40539744,0.36261985,0.35181805,0.38305184,0.45187184,0.528692,0.5760451,0.56837636,0.511921,0.43124625,0.35523233,0.30180857,0.28237188,0.2968435,0.33357286,0.36643204,0.3748468,0.35385516,0.3188873,0.2867529,0.2675908,0.26194778,0.2688255,0.28571174,0.30592787,0.31737462,0.30922556,0.28027725,0.2409956,0.20916252,0.20250696,0.23782031,0.32004616,0.4389329,0.55923945,0.64705724,0.6818972,0.6770534,0.653516,0.6320283,0.615725,0.605512,0.59938544,0.59902555,0.602439,0.60716397,0.609797,0.6099277,0.60885257,0.6084468,0.60776466,0.600446,0.5767102,0.52880806,0.4595848,0.38251397,0.31642333,0.27355742,0.25511137,0.25151476,0.2521926,0.25115445,0.2498862,0.25129125,0.2585139,0.27634677,0.3149821,0.38321343,0.4786993,0.58259434,0.67081827,0.72454184,0.7387009,0.71443063,0.65930647,0.5829986,0.50104505,0.42981187,0.38532186,0.3806746,0.41782603,0.4827994,0.5414956,0.56319755,0.53463155,0.473122,0.40573418,0.35828295,0.34196815,0.356738,0.38861594,0.4153994,0.41718078,0.38974997,0.3455923,0.30300653,0.2733076,0.25831246,0.25476417,0.2589738,0.26737568,0.27519795,0.27765402,0.2714548,0.25692588,0.23743685,0.22155215,0.22365965,0.26290947,0.34666562,0.46088195,0.5665756,0.63111144,0.6432031,0.6235866,0.5964002,0.5796277,0.5747418,0.5787837,0.586418,0.59390575,0.5994026,0.60251445,0.6042653,0.6042891,0.60276794,0.59983706,0.595526,0.5853316,0.5619997,0.5202605,0.46423241,0.4041491,0.34984514,0.30452746,0.26785678,0.2396643,0.2205531,0.20992444,0.20481652,0.20415838,0.21151368,0.23765258,0.29247394,0.37724027,0.4772879,0.570925,0.6396935,0.67589116,0.6780471,0.6483189,0.5943227,0.53068155,0.4736366,0.4340737,0.41825506,0.43240356,0.47719836,0.53851753,0.58404446,0.5868662,0.5430868,0.4783632,0.42228153,0.3927516,0.3895447,0.4037801,0.4226989,0.4307628,0.41645977,0.37834808,0.32775554,0.2791751,0.241777,0.21884155,0.21204434,0.2232542,0.24947822,0.2802761,0.30211875,0.30665088,0.29541564,0.2782674,0.26884118,0.28205723,0.32729003,0.403066,0.49051252,0.5648132,0.60739154,0.61922234,0.6120122,0.5994931,0.5878091,0.5795931,0.57551414,0.5762036,0.5806168,0.586592,0.59162635,0.5936455,0.5922895,0.5892896,0.5884505,0.5917182,0.5975857,0.60092,0.598862,0.59239,0.58566135,0.58067703,0.5772262,0.57417077,0.5725766,0.5740431,0.58006686,0.5897064,0.60181856,0.6141207,0.62509066,0.6308506,0.628597,0.61901075,0.6118955,0.6176831,0.63802,0.6591088,0.6659053,0.65397936,0.6328516,0.61409956,0.6044614,0.6084883,0.62796193,0.660923,0.6929758,0.7086111,0.6976828,0.6668566,0.62897533,0.5972092,0.5773682,0.57127863,0.57621074,0.5855582,0.59074634,0.58710265,0.5771673,0.5668369,0.56082875,0.55916125,0.5609009,0.5633484,0.5640848,0.5591545,0.54881924,0.53790927,0.5353301,0.54433703,0.5591244,0.5656431,0.5522608,0.51603794,0.46409145,0.40825215,0.35873696,0.32164267,0.2975174,0.28391063,0.2753861,0.26704493,0.25634512,0.24600707,0.24054348,0.24223661,0.2472213,0.24884468,0.24121152,0.22388864,0.20091863,0.18022537,0.16871047,0.17000629,0.18149364,0.19681473,0.20841666,0.2114122,0.20422317,0.18852921,0.16890226,0.15202673,0.14468181,0.14932628,0.16237311,0.17665423,0.18707174,0.19373357,0.19960211,0.20735496,0.21737742,0.2295689,0.24332626,0.25716865,0.26742324,0.26984215,0.26154408,0.2431459,0.21856685,0.19476467,0.17958237,0.17882697,0.19257568,0.21440136,0.23538963,0.24973325,0.25812688,0.2646776,0.2721584,0.27863905,0.2796792,0.27181038,0.25510845,0.23222147,0.20679079,0.18238951,0.16219014,0.14787191,0.13864563,0.1329479,0.13138264,0.13771679,0.15445979,0.17897789,0.20360267,0.22166765,0.23116821,0.2347848,0.2357462,0.23642828,0.23746009,0.2390538,0.23999448,0.23970819,0.23874871,0.23967849,0.24368174,0.2488585,0.25120756,0.2480067,0.23939036,0.22673066,0.21193023,0.19865854,0.19349436,0.20242189,0.22537057,0.25442278,0.2790084,0.29252434,0.29456642,0.2878957,0.27489448,0.2570521,0.23587602,0.21403168,0.19497979,0.18279023,0.18049143,0.18847491,0.20299117,0.21772136,0.22666031,0.22784652,0.22405984,0.22134148,0.22467113,0.23527463,0.24992998,0.26367152,0.27195168,0.2727126,0.26639202,0.25651142,0.24752851,0.2433341,0.24403109,0.24675389,0.24624838,0.23838262,0.22159095,0.1991108,0.17828451,0.16771336,0.17202662,0.18832004,0.2072984,0.21847709,0.21570075,0.19949453,0.17601873,0.15348125,0.138822,0.13479184,0.14037813,0.1517088,0.16470492,0.17617951,0.18496156,0.19158448,0.19720037,0.20248139,0.20682025,0.20930685,0.21028303,0.21290658,0.22185399,0.23929249,0.2612289,0.2788707,0.28493705,0.279326,0.26840973,0.25940123,0.25522816,0.2548025,0.25574163,0.2568443,0.25740936,0.2567803,0.254169,0.24961321,0.24372272,0.2364198,0.22657926,0.212632,0.19557868,0.17877011,0.16704561,0.16215993,0.16233502,0.16200978,0.15590607,0.14142995,0.12154587,0.10317849,0.09321775,0.09365803,0.10051117,0.10672138,0.10624578,0.097196095,0.08371811,0.07626308,0.08827708,0.1275065,0.18870978,0.25317952,0.30048135,0.3200358,0.3164406,0.3019415,0.287786,0.27855656,0.27383137,0.27093434,0.26768526,0.2630403,0.25780806,0.2535636,0.2513332,0.2497908,0.24677807,0.24173488,0.23742916,0.23742282,0.24289747,0.25109956,0.25738516,0.25761282,0.24999726,0.23554073,0.21789916,0.20175056,0.19042818,0.18439882,0.18216865,0.18249702,0.1853009,0.19045566,0.19648902,0.20162575,0.2062639,0.21316616,0.22440189,0.23789267,0.24854578,0.25190878,0.24763371,0.23770821,0.22487956,0.21029778,0.1955474,0.18160452,0.16954535,0.15889378,0.15017845,0.14612086,0.15102859,0.16667813,0.1890126,0.21084927,0.22627681,0.23428853,0.23666741,0.23608403,0.2348455,0.23489575,0.23686846,0.23891647,0.2380874,0.23238768,0.22260459,0.2111668,0.20065464,0.1926095,0.18796755,0.18689996,0.18900037,0.19269268,0.19670056,0.19985251,0.20148785,0.19988607,0.1936549,0.18272364,0.16960488,0.15758191,0.14919196,0.14527144,0.14584942,0.15016355,0.15678547,0.16349143,0.16890883,0.17308645,0.17698859,0.18035936,0.18231367,0.18344212,0.1881262,0.20081846,0.22187579,0.24410231,0.25818637,0.2574763,0.24286771,0.22019927,0.19770826,0.18226624,0.17760973,0.18334317,0.19503741,0.20693122,0.21455927,0.21669233,0.21441358,0.21015726,0.20661867,0.20696528,0.21216172,0.22112508,0.2293313,0.2338538,0.23303245,0.2289031,0.22284777,0.21631658,0.20894174,0.20109703,0.1930824,0.18564779,0.17881794,0.17294198,0.16933705,0.16997649,0.17600954,0.18634005,0.19873732,0.20991115,0.21654439,0.2149059,0.20479335,0.1904069,0.1798516,0.17831141,0.18539745,0.19526826,0.20218413,0.20318322,0.19888331,0.1911118,0.1816113,0.17168367,0.16283524,0.15704621,0.15599595,0.16096072,0.17220752,0.18866889,0.20650245,0.21983296,0.223271,0.21528101,0.19930261,0.18212278,0.17123616,0.17125519,0.18222554,0.19879355,0.21417157,0.2232881,0.22587146,0.22405988,0.2200058,0.21393472,0.20552956,0.19621404,0.18884312,0.1859687,0.18690568,0.18920071,0.19060002,0.19117723,0.19106966,0.18830912,0.17861517,0.1593756,0.13333617,0.10832713,0.09174171,0.08529943,0.08405004,0.081996046,0.07822051,0.080081366,0.097841226,0.13584264,0.18574281,0.2305841,0.25593463,0.259011,0.24797451,0.23355894,0.22225076,0.21475028,0.20953476,0.20552045,0.20295173,0.20183754,0.20083857,0.19731309,0.18839683,0.17397307,0.1582666,0.15083356,0.16022652,0.18829012,0.22510643,0.25576493,0.2680761,0.2604975,0.23973809,0.21636933,0.19860496,0.19007109,0.18934536,0.19206442,0.19440503,0.19566084,0.19792576,0.20304509,0.21037625,0.21793611,0.22574891,0.23571165,0.2489781,0.26132,0.2666502,0.26106986,0.24831994,0.23576367,0.23022129,0.23343103,0.2425896,0.2522414,0.2564372,0.25144663,0.23676483,0.21578765,0.19310431,0.17234069,0.15429752,0.13889141,0.12776826,0.12494385,0.13346167,0.15111542,0.17044246,0.18290146,0.18354718,0.17266017,0.1547587,0.13726392,0.1265262,0.1237335,0.12263888,0.11583189,0.10189435,0.088362284,0.085112415,0.097845726,0.12585564,0.16438293,0.20668691,0.24442129,0.27022147,0.28047213,0.27756,0.26706633,0.25446787,0.242994,0.2348314,0.23221421,0.23677795,0.24745464,0.25953326,0.26672956,0.26478732,0.25374603,0.23655857,0.21638836,0.1955359,0.17680633,0.16392939,0.15937676,0.16210425,0.16851282,0.1759281,0.18431693,0.19503546,0.20837446,0.2228901,0.23605144,0.24539566,0.24955058,0.24875309,0.24454652,0.23826729,0.23087962,0.22434993,0.22335403,0.23263891,0.2521954,0.2740716,0.28717303,0.2843301,0.26782742,0.24658208,0.23089363,0.2261399,0.23137134,0.24088947,0.24893169,0.25276127,0.25308955,0.25163504,0.24936622,0.24617498,0.24203737,0.23716037,0.23198582,0.22666992,0.22167034,0.21696359,0.21184671,0.20411043,0.19189467,0.17453773,0.15428364,0.13560139,0.12457579,0.12544774,0.13777046,0.15592366,0.17325735,0.1866049,0.19745462,0.20908453,0.22438025,0.24417657,0.2679385,0.29221255,0.31274882,0.32499334,0.32723713,0.31927535,0.3029656,0.28066722,0.2556014,0.23047234,0.20746846,0.18807763,0.17412132,0.16782725,0.1718335,0.18707104,0.21145803,0.23937492,0.26436162,0.2813711,0.28816187,0.28496742,0.27419826,0.25994113,0.24650906,0.23681758,0.23096538,0.22663073,0.22019444,0.20872796,0.19181818,0.1722988,0.15561263,0.1462606,0.1452579,0.14921808,0.1548416,0.16204381,0.17460246,0.19417953,0.21728097,0.23560901,0.2432071,0.23963916,0.23018016,0.22085778,0.2162204,0.21727218,0.22177272,0.22457814,0.22165526,0.21317174,0.20371465,0.19767486,0.19563472,0.1950893,0.1939767,0.19360429,0.19683103,0.20533581,0.21667731,0.2265432,0.23128654,0.23057716,0.22572587,0.21855788,0.21071619,0.20502464,0.20469962,0.21121036,0.22133504,0.22800685,0.22488482,0.21155305,0.1941878,0.18043397,0.17409708,0.17411202,0.17796715,0.18469353,0.19417353,0.20496185,0.2129335,0.21369193,0.20601691,0.19482379,0.18838228,0.19309606,0.20747246,0.22390312,0.23305345,0.23036022,0.21686733,0.19752736,0.1770786,0.15693797,0.13644122,0.11626748,0.101738356,0.10036097,0.115897216,0.14508148,0.17835672,0.20686376,0.22558284,0.23524398,0.23782678,0.23494397,0.2267495,0.21382023,0.19802822,0.18205291,0.16831295,0.15681751,0.14489406,0.12945057,0.11139494,0.09817565,0.09884136,0.117287196,0.14705311,0.17674667,0.19650654,0.20365466,0.19994283,0.18841213,0.1705968,0.14743525,0.12047804,0.09289382,0.069346346,0.05450285,0.050825477,0.056859236,0.06852606,0.0821537,0.09676686,0.112596236,0.12837115,0.14051579,0.1451968,0.14051767,0.12698999,0.10721766,0.08606267,0.07008599,0.06606484,0.07697464,0.10020546,0.12718596,0.14882238,0.15959537,0.16068402,0.1566224,0.1519419,0.14831372,0.14550179,0.14271848,0.13977194,0.13702914,0.1351326,0.134251,0.13337503,0.13011381,0.12177717,0.10715163,0.0874745,0.066073224,0.046533626,0.031259038,0.02071927,0.014164403,0.010402604,0.008405665,0.007352155,0.0066482187,0.0060150833,0.005428324,0.0049955714,0.0047376975,0.004594696,0.004456406,0.0042606574,0.0039937655,0.00368046,0.0033460876,0.0029981602,0.0026232554,0.0022132257,0.0017904824,0.001407796,0.0011118668,0.00091367937,0.00078906043,0.00070450525,0.00063900667,0.00058760337,0.00055330415,0.0005391969]