[0.19134206,0.19648041,0.205065,0.2098694,0.20650548,0.19510764,0.17930709,0.16390501,0.15302904,0.14955594,0.15454246,0.16817774,0.18877615,0.21236873,0.23325397,0.24705346,0.2530994,0.25340912,0.25006327,0.24319065,0.23187107,0.21572453,0.19646508,0.17763735,0.1630708,0.15441293,0.15033923,0.14801647,0.14566976,0.14354251,0.142866,0.14428718,0.14746304,0.15159005,0.15597577,0.16000664,0.1630469,0.1645961,0.16454446,0.16308771,0.16031878,0.1557514,0.14848025,0.13757306,0.123585284,0.10888941,0.09755265,0.092814974,0.0959496,0.10614374,0.1218011,0.14078309,0.15936488,0.17289184,0.17755277,0.17292805,0.16150732,0.14720069,0.13412304,0.126242,0.12682141,0.13666236,0.1538968,0.17467718,0.19526933,0.21265204,0.2254415,0.23373504,0.23912174,0.24295317,0.24567664,0.2464735,0.24469633,0.2401311,0.2335298,0.22550581,0.21631627,0.20509732,0.19187139,0.17854339,0.16933958,0.16695948,0.17053501,0.17573978,0.17870317,0.1780464,0.1746667,0.17017539,0.16628604,0.16485693,0.16690247,0.17124875,0.17406839,0.1716487,0.16488202,0.16268355,0.17838494,0.21935137,0.2777044,0.33244574,0.36442313,0.36875784,0.3554647,0.337339,0.32157332,0.308558,0.29709068,0.28673443,0.27802348,0.27104226,0.26533303,0.25965804,0.25288367,0.24432947,0.23469289,0.22541767,0.21794216,0.21264513,0.2086908,0.20496963,0.20050292,0.19540502,0.19024749,0.1866244,0.18609846,0.18943985,0.1953457,0.20044667,0.20193122,0.19918115,0.1946385,0.19041735,0.186701,0.18202849,0.17576927,0.16951436,0.16486408,0.1628053,0.1624505,0.16328995,0.16439745,0.16536127,0.1655192,0.16499819,0.16415781,0.16335854,0.16234088,0.16085593,0.15903288,0.1574272,0.1562134,0.15524714,0.15481582,0.15651596,0.16193563,0.1709559,0.1805988,0.18727517,0.18902136,0.18631606,0.18078698,0.17326649,0.16493899,0.15741275,0.15417592,0.15706621,0.16577715,0.17606209,0.1839472,0.18693066,0.1862241,0.18394887,0.18192106,0.18046612,0.17880647,0.1762318,0.17115234,0.1625007,0.1491632,0.13258608,0.115959644,0.10419596,0.10147467,0.10978627,0.12791829,0.15124466,0.17373078,0.18960132,0.19633882,0.1944801,0.18775523,0.18019891,0.1749839,0.17256503,0.17145795,0.16957985,0.16580456,0.1610886,0.15717714,0.15589543,0.15726358,0.16036415,0.16339268,0.16475278,0.16318077,0.15884703,0.15363532,0.15028124,0.15019898,0.1531186,0.1577126,0.16354913,0.16998231,0.17612065,0.1799091,0.18054211,0.17878336,0.17747612,0.1793134,0.18544741,0.1944596,0.20349382,0.21000873,0.2130502,0.2124753,0.20773716,0.19722866,0.18039262,0.15935527,0.13994558,0.12845688,0.12872434,0.13899803,0.15360916,0.16533424,0.169349,0.16411681,0.15171532,0.13615568,0.122285664,0.1135009,0.11059117,0.11107627,0.111002795,0.106651105,0.09701079,0.085113905,0.0791575,0.08866004,0.117873095,0.1591869,0.19689298,0.21743768,0.21936613,0.21141434,0.20380014,0.20086557,0.20153888,0.20365977,0.20643616,0.2100149,0.21423095,0.21854319,0.2226444,0.22641517,0.22964187,0.2314735,0.2309736,0.22738956,0.22054358,0.21036994,0.19730707,0.18268071,0.16895266,0.15863581,0.15275146,0.15046464,0.14952298,0.14805661,0.14515835,0.14176176,0.13982518,0.14167325,0.14850782,0.15933484,0.1707383,0.17691712,0.17229158,0.1539049,0.1251022,0.09390844,0.06948476,0.056218985,0.052834135,0.05444997,0.05653066,0.05653836,0.05387624,0.049020033,0.04282278,0.035968345,0.028917981,0.023012405,0.022102298,0.0329697,0.06148422,0.10722819,0.1605593,0.20755394,0.23814881,0.25093508,0.25111905,0.24467261,0.23616242,0.22819777,0.22356106,0.22345383,0.22757272,0.233037,0.23709452,0.23804374,0.23648657,0.23373608,0.23091501,0.22785102,0.22388013,0.21870132,0.21350102,0.21019733,0.21021152,0.21293342,0.2163064,0.21810676,0.21755683,0.21529436,0.21258341,0.21031213,0.20848052,0.20660795,0.2038713,0.19992785,0.1946364,0.18873031,0.18303286,0.17835705,0.17438348,0.17004587,0.1643369,0.15726262,0.15010916,0.14432497,0.14142098,0.14232914,0.14838852,0.15986186,0.1757978,0.19248943,0.20573606,0.21217102,0.21194382,0.20769747,0.20326106,0.20021997,0.19764537,0.1927089,0.18450321,0.17451072,0.16636837,0.162395,0.1627843,0.16500223,0.16580455,0.162882,0.15740533,0.15374435,0.1569048,0.16804223,0.18332635,0.19674386,0.20459706,0.2073052,0.20774253,0.20861769,0.21097612,0.21426706,0.21716286,0.21825396,0.21670239,0.21248238,0.20703506,0.20283382,0.2024102,0.20594347,0.2111411,0.2143129,0.21303354,0.20600407,0.1921346,0.17079498,0.14467995,0.12259344,0.11574388,0.13115364,0.16472657,0.20450701,0.2370286,0.2561082,0.26218107,0.26019195,0.2536679,0.24532099,0.23645951,0.2290207,0.22371311,0.22026835,0.21735187,0.21404065,0.2101147,0.20564723,0.20074557,0.19560397,0.19062321,0.18600364,0.18120797,0.17552574,0.16859768,0.1612498,0.15524103,0.15301226,0.15670276,0.16627611,0.17953654,0.19297634,0.20518257,0.21572123,0.2242856,0.22819276,0.22543474,0.21582747,0.20271532,0.18985671,0.18041693,0.17462438,0.17098159,0.16697271,0.1615779,0.15559952,0.15094794,0.14879791,0.1489674,0.1505394,0.15302233,0.15625179,0.15968753,0.16189675,0.16236198,0.1626812,0.16673815,0.17633463,0.18994963,0.2021584,0.20984106,0.21232112,0.21233977,0.2105943,0.20678292,0.199764,0.19110455,0.18479975,0.18505025,0.19326055,0.20549399,0.2148428,0.21408252,0.20064591,0.17713714,0.151568,0.13339023,0.13033225,0.14375062,0.16799206,0.1919301,0.20480873,0.20029391,0.17952108,0.14907824,0.11911565,0.098620236,0.09373528,0.10447323,0.12606098,0.14956842,0.16747946,0.17599319,0.17709954,0.17504662,0.17404531,0.17587604,0.18030126,0.18532903,0.18862231,0.18839304,0.18479486,0.17912638,0.1733798,0.16791837,0.16176164,0.1526981,0.14019834,0.12598789,0.11371964,0.10662344,0.10645432,0.1140151,0.12855224,0.14770295,0.16605724,0.17869286,0.1827827,0.18043484,0.17580391,0.17355661,0.17593758,0.18280517,0.19186777,0.20022625,0.20580429,0.20776713,0.20591982,0.19934224,0.18678539,0.1688723,0.15046829,0.13945405,0.14140375,0.1546896,0.17070216,0.17978668,0.17712887,0.16447408,0.14731103,0.13122882,0.11959949,0.113007136,0.10986531,0.107781805,0.10492831,0.100660376,0.095242865,0.08950329,0.08535085,0.08654779,0.09879454,0.12614535,0.16738327,0.21398811,0.2549716,0.2822019,0.29405454,0.29401445,0.28795516,0.28195897,0.27989325,0.28290382,0.289209,0.29623866,0.30120865,0.30159047,0.29565278,0.28361997,0.26869893,0.2550586,0.24554102,0.23954546,0.23449339,0.2279268,0.21934716,0.2096744,0.20028102,0.19216985,0.18654853,0.18417068,0.18480319,0.18617427,0.1859035,0.18309337,0.17899911,0.17546032,0.17338538,0.17300628,0.17298056,0.17104179,0.1638181,0.15086931,0.1349629,0.12151408,0.11359788,0.111163646,0.11153576,0.1123977,0.11224041,0.11040157,0.10632882,0.09979457,0.0907663,0.07960006,0.067914456,0.059792444,0.06240353,0.08171868,0.11807847,0.16239935,0.20195526,0.22667275,0.23527731,0.2326724,0.2261044,0.22091968,0.21936357,0.22085081,0.22317182,0.22521496,0.22783796,0.23318504,0.24153256,0.25086102,0.25784126,0.26017222,0.25688633,0.24836493,0.23656304,0.22441657,0.2149217,0.20890866,0.20577882,0.20392968,0.20279543,0.20231034,0.20332573,0.20669056,0.21293968,0.22131586,0.2293063,0.2335446,0.23093837,0.2210998,0.20686372,0.19443525,0.18995397,0.19627541,0.21043263,0.2255847,0.23533373,0.23763068,0.2351641,0.23251815,0.23270924,0.23592901,0.24018139,0.24343032,0.24419467,0.2421043,0.2372642,0.23122197,0.22654043,0.22649096,0.23188484,0.24044569,0.24670798,0.24661864,0.23912378,0.22731142,0.21484424,0.20445663,0.19666095,0.19103934,0.18736577,0.18617459,0.18842323,0.1937535,0.19993581,0.2031274,0.20045163,0.19147839,0.17885964,0.16634248,0.15734296,0.15326834,0.15385677,0.1569434,0.15943371,0.15746671,0.14789216,0.13046746,0.11009649,0.09663843,0.09953213,0.12211448,0.15838327,0.19747953,0.22890036,0.2479163,0.25513145,0.2558,0.2552171,0.25651947,0.25810018,0.25703415,0.25198945,0.24596654,0.2429616,0.24473481,0.24890059,0.2516289,0.25033244,0.2449463,0.2372265,0.22955696,0.22398598,0.22090709,0.21913321,0.21673882,0.21299952,0.20829444,0.20377243,0.19974525,0.19667065,0.19445993,0.19372314,0.19392334,0.19486858,0.19660203,0.20152132,0.21236806,0.22985618,0.24965326,0.26442948,0.26794443,0.26002,0.24627613,0.23480491,0.2306654,0.23304157,0.2369863,0.23711883,0.23243786,0.22535725,0.21983564,0.21687077,0.2151741,0.21241361,0.20772052,0.20117001,0.19313933,0.18457012,0.17744152,0.17432036,0.17597067,0.18129826,0.18868268,0.19828463,0.21104367,0.22613426,0.24045368,0.24944878,0.2517493,0.24790269,0.24236703,0.23800665,0.23825288,0.24233796,0.24864526,0.25304112,0.2537721,0.2512802,0.24838078,0.24668585,0.24512781,0.24049444,0.23032136,0.2154304,0.20079727,0.19263893,0.1947822,0.20529489,0.21866529,0.228705,0.23284507,0.23167144,0.22822,0.22508208,0.22317143,0.22072847,0.2141956,0.20086195,0.18157993,0.1615025,0.14702278,0.14181076,0.14553367,0.15607429,0.17150785,0.18982784,0.20673351,0.21737818,0.21874017,0.21287501,0.20430826,0.19744927,0.19392568,0.19309692,0.19353698,0.1934312,0.1918015,0.18817164,0.18404824,0.18160725,0.18342541,0.18974228,0.199126,0.20813626,0.21468492,0.2176828,0.21838807,0.21801871,0.21839212,0.22045417,0.22476234,0.23032801,0.23537362,0.23770614,0.23559351,0.22741568,0.21162142,0.18832017,0.16123535,0.1385543,0.12835728,0.13399607,0.15021317,0.16708617,0.17504413,0.17147772,0.16036958,0.14907989,0.14186157,0.1388644,0.13859557,0.14246261,0.15357542,0.17273088,0.19501728,0.21290196,0.2222755,0.22625458,0.23347525,0.2513237,0.2807124,0.31422946,0.3415786,0.3556497,0.35620114,0.34734848,0.33279446,0.31422368,0.29225454,0.2698716,0.25108814,0.2395413,0.23455076,0.23334683,0.23205252,0.22971635,0.226278,0.2227786,0.21849895,0.21225256,0.20208432,0.18788832,0.17183119,0.15815529,0.14983724,0.14685865,0.14688821,0.14831181,0.15148745,0.15711337,0.16428363,0.17017502,0.17231613,0.16971196,0.16369957,0.157115,0.15501659,0.16181426,0.1784931,0.19856386,0.21259218,0.21427806,0.20625462,0.1959949,0.18955241,0.18747781,0.18704061,0.18576014,0.18279965,0.17831343,0.17270528,0.16647024,0.16017616,0.15486407,0.15263367,0.15669693,0.16884089,0.1870973,0.20536698,0.2174591,0.22077046,0.21754229,0.21252024,0.21024732,0.21337323,0.22142656,0.23047912,0.23446421,0.2290964,0.21568082,0.20063108,0.19125678,0.19027345,0.19521226,0.20171516,0.20861776,0.21974528,0.23979044,0.2690653,0.30065635,0.32590833,0.34003246,0.34445933,0.34297898,0.33842778,0.33251607,0.32663205,0.3215755,0.31549275,0.30431646,0.28435567,0.25701442,0.22951074,0.21173304,0.20903446,0.21920435,0.23407878,0.24607404,0.2516564,0.25204757,0.2496203,0.24697185,0.2449882,0.24446078,0.24404496,0.24228024,0.23684067,0.22758812,0.21520229,0.20130529,0.18728077,0.17543478,0.16988124,0.17442931,0.19044888,0.21420915,0.2394741,0.25929213,0.26978683,0.27092397,0.26688337,0.26211703,0.25676322,0.24580663,0.22373493,0.19198506,0.15938167,0.13777156,0.13320427,0.1437216,0.16061981,0.17536569,0.18328817,0.18523352,0.1844868,0.18428618,0.1858827,0.1890044,0.19272055,0.19672936,0.20189108,0.20993082,0.22236164,0.23951943,0.2601733,0.2819684,0.3015838,0.31549716,0.32094428,0.3189472,0.31545094,0.31987336,0.33842742,0.36935833,0.401948,0.42321804,0.42468402,0.40702963,0.3776544,0.34579363,0.3176085,0.29504505,0.27740523,0.26349762,0.25261372,0.2444272,0.23829593,0.23361717,0.2297225,0.22695543,0.22592372,0.22793686,0.23268019,0.23899935,0.24387227,0.24571346,0.24329126,0.23719992,0.22850507,0.22047406,0.21694575,0.21997237,0.22715445,0.23357403,0.23505068,0.23114614,0.223958,0.21698815,0.21399248,0.21783394,0.22962134,0.24614811,0.262081,0.27140918,0.27232027,0.2660571,0.25532487,0.23982061,0.21705878,0.1851175,0.14676593,0.10855561,0.07722715,0.05554983,0.04248528,0.036470573,0.03877049,0.05360998,0.08334601,0.12448572,0.16706128,0.20144407,0.22294283,0.23276351,0.23253037,0.2225808,0.20309599,0.17841125,0.15699685,0.14903979,0.16077061,0.19092064,0.23008223,0.26573983,0.28890684,0.29792666,0.29674795,0.29033864,0.28168666,0.27204874,0.26208723,0.25245082,0.24278344,0.23177958,0.2182274,0.20261985,0.18783367,0.17756082,0.17482413,0.17950429,0.18890713,0.19800238,0.20317648,0.20304817,0.19976543,0.19610329,0.1945502,0.19623001,0.20169495,0.21112089,0.22316577,0.23445727,0.2389487,0.23155932,0.21214102,0.18900178,0.17468096,0.17760901,0.19519718,0.2158219,0.2275079,0.22549705,0.21384215,0.2009569,0.19422208,0.19564019,0.2016841,0.20596899,0.20441116,0.19712703,0.18763232,0.17902113,0.17281091,0.16877733,0.16625567,0.16397737,0.16104428,0.1582339,0.1588543,0.16689014,0.18310495,0.20328577,0.21909888,0.22336553,0.21389957,0.1960758,0.17865752,0.16846572,0.16568804,0.16610223,0.16548014,0.163125,0.16077451,0.16040719,0.16268778,0.16715057,0.17248595,0.17662089,0.17737101,0.17350455,0.1667149,0.16202424,0.16685373,0.1866424,0.22059059,0.2600372,0.29304972,0.3116789,0.3161099,0.3127942,0.3091059,0.30929145,0.31361046,0.31931058,0.3233235,0.32379863,0.32118276,0.3163186,0.30919376,0.29856658,0.28363928,0.26638982,0.250495,0.2401688,0.23552144,0.23480357,0.2343542,0.23343796,0.23166497,0.22992836,0.22873527,0.23036139,0.23780449,0.25288266,0.27409098,0.29707885,0.31692263,0.32944068,0.33170667,0.3220919,0.30226526,0.27661058,0.2514066,0.23028779,0.21415329,0.20014155,0.18491329,0.16509336,0.14086705,0.116803765,0.10179284,0.10356492,0.12265602,0.1504909,0.17416306,0.18562573,0.18575828,0.18254556,0.18329717,0.19095409,0.2033437,0.21719997,0.2295385,0.23913874,0.24481767,0.2461306,0.24354231,0.24002206,0.23923986,0.2422492,0.24580388,0.24466868,0.23715447,0.22595978,0.21613069,0.20977111,0.20645165,0.2041319,0.20226514,0.20044291,0.1981765,0.19369054,0.18586315,0.175052,0.16405433,0.15602843,0.15274201,0.15400444,0.15910518,0.16869038,0.18259136,0.19899996,0.21260202,0.219804,0.21969707,0.21613069,0.21285559,0.2126043,0.21581505,0.22255777,0.23256361,0.24394614,0.2522993,0.25098565,0.23546779,0.2069986,0.17448504,0.14982711,0.14101405,0.14742285,0.16167445,0.17635798,0.18850301,0.19939774,0.21036099,0.22048481,0.22782363,0.2313586,0.23281987,0.23444957,0.23867416,0.245537,0.2542722,0.2620074,0.2646415,0.25732344,0.23795712,0.21071498,0.18447493,0.16798592,0.16363521,0.16774054,0.17389025,0.17710759,0.17479737,0.16615091,0.15281285,0.1387945,0.12963228,0.12818865,0.13316615,0.13995911,0.14497514,0.1473016,0.1482313,0.14895773,0.1500593,0.15177028,0.15461916,0.15878378,0.16366895,0.1677388,0.16948564,0.1682034,0.16483986,0.1619757,0.1634665,0.17207499,0.18743517,0.204304,0.21574764,0.21690182,0.20937963,0.19894862,0.19198942,0.19039352,0.19253333,0.19485736,0.1952007,0.19237788,0.18635392,0.17707223,0.16515835,0.1518587,0.14010316,0.13352948,0.13521093,0.14483736,0.1587265,0.17079283,0.1756772,0.17012663,0.15465198,0.13395572,0.116491735,0.1119506,0.12606218,0.15743351,0.19643892,0.2312988,0.25355193,0.26280153,0.26393896,0.26327154,0.26442698,0.2681149,0.2729732,0.27719104,0.2794007,0.2793517,0.2774892,0.27425423,0.2695863,0.26326182,0.25588715,0.24878664,0.24351352,0.24041857,0.23858564,0.23623492,0.23170124,0.22410679,0.21322073,0.19979931,0.1853109,0.17214148,0.16238211,0.15680759,0.154118,0.15172912,0.14739119,0.1403877,0.13169745,0.12263408,0.11362553,0.10360629,0.0914854,0.07750774,0.06401234,0.053678695,0.04804342,0.04660526,0.04814874,0.05169883,0.05716756,0.06473663,0.07458188,0.08657939,0.100150935,0.11392548,0.12561607,0.13293177,0.1345074,0.13069268,0.122641586,0.111622,0.098257415,0.08372861,0.070480905,0.06338102,0.06764563,0.08685578,0.118874766,0.15640219,0.18886594,0.20889501,0.21504776,0.21184845,0.20474704,0.1967292,0.18765707,0.17698656,0.16587037,0.15737505,0.15428855,0.1568044,0.16174035,0.1645709,0.16316415,0.15975517,0.1602853,0.17005925,0.19064651,0.21827912,0.24664043,0.26972505,0.28320524,0.2833546,0.26597825,0.22972848,0.17984754,0.13015573,0.09666032,0.0890137,0.104380816,0.13020581,0.15259887,0.16380048,0.16488968,0.16213228,0.16199146,0.16645999,0.17304732,0.1777562,0.1789095,0.17800333,0.17743987,0.17829496,0.17964959,0.1800661,0.17844969,0.17481732,0.16960482,0.163671,0.15754081,0.1524582,0.1501859,0.15338129,0.16286333,0.17705303,0.19125943,0.20115177,0.2041012,0.20089738,0.19398405,0.18652086,0.1805702,0.17676885,0.1744407,0.1726132,0.17082073,0.16922712,0.16816501,0.1680134,0.1689731,0.17119767,0.17417522,0.17716976,0.17945196,0.18095715,0.18173079,0.18146111,0.17913271,0.1734094,0.16353886,0.15068723,0.13900818,0.13402985,0.1391195,0.15183298,0.16546506,0.17302905,0.17171907,0.16248965,0.14826722,0.13158722,0.11420729,0.09726549,0.08171179,0.068926886,0.060483173,0.05780441,0.06105727,0.069199026,0.08021147,0.092213504,0.103609286,0.112951316,0.11820173,0.11705575,0.10848883,0.0941957,0.07912147,0.06976518,0.07332917,0.09559113,0.13841458,0.19571646,0.25396836,0.2984079,0.32129517,0.32493278,0.31734428,0.3062056,0.29570413,0.28743407,0.28178325,0.27850354,0.2762586,0.27305746,0.26703396,0.2578654,0.24680644,0.23634523,0.22865345,0.22486503,0.2242978,0.22491348,0.22392322,0.21901076,0.20876932,0.19248365,0.17018966,0.1440853,0.12007212,0.105952956,0.10587708,0.11594435,0.12619017,0.12819164,0.12106034,0.11100259,0.10642564,0.11249309,0.12906612,0.15048444,0.16947216,0.18092354,0.1852441,0.18610217,0.18720496,0.1892541,0.19105923,0.19105881,0.18893676,0.18514419,0.18060768,0.1760713,0.17289698,0.17343718,0.18141831,0.19879878,0.22374117,0.2488629,0.26662466,0.2726313,0.26950696,0.2625501,0.25716233,0.25480402,0.254355,0.25329444,0.24974614,0.24255724,0.23059477,0.21319331,0.1911497,0.16827516,0.14985035,0.14047323,0.14132091,0.15054637,0.1640713,0.17783153,0.18836232,0.19385733,0.19354683,0.18773663,0.17727216,0.1642635,0.15256941,0.14731783,0.15227474,0.16676624,0.18539417,0.2015741,0.21433146,0.23208244,0.27225143,0.34901825,0.46057144,0.5804425,0.66914034,0.69683784,0.6591499,0.57879317,0.48411545,0.39948452,0.3335946,0.28977105,0.2638766,0.25124583,0.24481867,0.23995775,0.23418285,0.22686158,0.21788208,0.20781536,0.19777854,0.18888026,0.1802661,0.17063922,0.1590473,0.14735055,0.13756496,0.13108277,0.1269692,0.12444714,0.123110294,0.123335354,0.12460452,0.1259958,0.12639415,0.1258149,0.12716778,0.1375192,0.16716915,0.21932113,0.28437468,0.33825102,0.36146525,0.3481902,0.311362,0.26580933,0.22263403,0.18552853,0.15851359,0.14524654,0.14723551,0.16017486,0.17581071,0.18593706,0.1866163,0.18208718,0.18545598,0.21721137,0.29015353,0.400148,0.518192,0.6114914,0.6523233,0.6344394,0.5623655,0.45826527,0.34898743,0.2628397,0.21115625,0.19127607,0.1912287,0.2017278,0.21652992,0.23098385,0.24007316,0.24094717,0.23528284,0.228499,0.22539969,0.22714351,0.23264433,0.24135248,0.25354052,0.26723316,0.2783049,0.28293598,0.28110442,0.2753681,0.26874885,0.26259235,0.2564775,0.2479459,0.23401676,0.21442556,0.19490932,0.18496986,0.19089341,0.20987134,0.23210037,0.2485284,0.2562032,0.25731286,0.25482118,0.25058183,0.24568605,0.24130821,0.23838131,0.23771517,0.23992614,0.24527006,0.25251514,0.2594811,0.26529816,0.27267405,0.28769347,0.31274045,0.3428087,0.36430737,0.3678441,0.3529276,0.33030024,0.30931458,0.29421028,0.28241548,0.27081957,0.25716022,0.23971766,0.21646698,0.18674402,0.15425454,0.12759532,0.115715474,0.12207178,0.14153549,0.1649095,0.18561469,0.20320658,0.22018184,0.23671965,0.24905984,0.25233686,0.24333255,0.22286011,0.19655423,0.17788118,0.18371493,0.2275178,0.30625546,0.40116784,0.4821999,0.52867657,0.5366545,0.5272401,0.52648026,0.55207324,0.5948599,0.6330108,0.6455205,0.62743944,0.58322626,0.52056855,0.44896093,0.38157663,0.3327044,0.30912653,0.3073199,0.3169333,0.32733628,0.3321207,0.3310299,0.33196905,0.34964582,0.3975513,0.47637805,0.5662987,0.63480514,0.6531791,0.61253905,0.52681667,0.4235128,0.33113933,0.2671923,0.23591466,0.22970401,0.23755534,0.24971187,0.26077238,0.26824942,0.27263394,0.27761948,0.28982022,0.31323668,0.34431815,0.37027383,0.37801734,0.36194226,0.32872692,0.29056597,0.25881422,0.23790568,0.22620396,0.21816455,0.20865132,0.19573842,0.1813928,0.1695912,0.16343874,0.16625734,0.18444496,0.23138703,0.318188,0.44302654,0.5791187,0.6881376,0.7358605,0.7131109,0.6324482,0.52267,0.41260672,0.32395908,0.26426572,0.22980659,0.21120466,0.19947195,0.19000071,0.18210566,0.17901544,0.18363439,0.19626422,0.21321106,0.22951402,0.24203455,0.2499072,0.2536526,0.25391102,0.2518901,0.24945562,0.2480994,0.24797656,0.2478375,0.24664295,0.24441732,0.24192762,0.23938656,0.23606966,0.23407203,0.24226971,0.27852306,0.3573731,0.47643414,0.60663,0.70716745,0.745513,0.71217495,0.6188464,0.4896239,0.35613367,0.24697971,0.18029869,0.15418798,0.15409768,0.16211711,0.16803972,0.1694097,0.16996765,0.17647047,0.19713323,0.23554043,0.2856981,0.33038482,0.35126004,0.3386509,0.29812273,0.24441443,0.1940555,0.15876596,0.14669369,0.16601859,0.22629888,0.3306066,0.46591464,0.59929514,0.6919728,0.71466607,0.66360134,0.5580998,0.43569446,0.33194622,0.26748192,0.2394213,0.23215087,0.23009275,0.2252037,0.21585222,0.20292997,0.19044451,0.18364711,0.18701409,0.19862986,0.21016352,0.21068345,0.19481672,0.16994928,0.15703405,0.18488514,0.27144036,0.40859732,0.55603135,0.66364616,0.6983772,0.6619942,0.5818268,0.4914746,0.41542947,0.36367512,0.33472428,0.32095385,0.31500682,0.3125938,0.3113338,0.3087583,0.30171534,0.28897744,0.27329645,0.2610947,0.25853863,0.2667045,0.28057316,0.29135218,0.29176405,0.2780534,0.25173932,0.21880932,0.18924566,0.17291766,0.17420888,0.1889218,0.20626764,0.21624283,0.21514028,0.20841457,0.20722103,0.22338401,0.26061103,0.31082955,0.35586882,0.38008106,0.3782414,0.35728416,0.3258218,0.28895894,0.24824655,0.2085619,0.17936204,0.16970845,0.18102898,0.20410122,0.22412473,0.22798027,0.21471505,0.20003946,0.215387,0.28717265,0.41546103,0.5628977,0.6763852,0.71727437,0.6796641,0.58630985,0.4712492,0.3683462,0.2975959,0.2630469,0.25257337,0.25132504,0.24897116,0.2433985,0.23612922,0.2300836,0.22858511,0.23475142,0.24943723,0.269775,0.29056814,0.30774498,0.3198348,0.32743382,0.33026415,0.32747254,0.31834206,0.3044299,0.28837094,0.2727271,0.25871056,0.24692835,0.23762529,0.23090237,0.22650926,0.22436859,0.22454189,0.22658099,0.22925496,0.23102844,0.23148434,0.23109913,0.23073663,0.2305999,0.2307737,0.23123614,0.23194076,0.2321681,0.23121043,0.22881131,0.22598188,0.22401027,0.22432195,0.22849993,0.23975344,0.26242068,0.29801965,0.34100804,0.37822732,0.3963416,0.3887869,0.35849917,0.3132757,0.26154074,0.21096013,0.1684833,0.14007254,0.12809788,0.13081944,0.14225926,0.15548092,0.16513462,0.1697825,0.17097037,0.17144723,0.17320675,0.17705494,0.18251593,0.18821752,0.1920631,0.1923051,0.18834098,0.1813264,0.17317571,0.16712438,0.16892456,0.18942839,0.23918921,0.32008645,0.41590628,0.49831223,0.5425238,0.5459459,0.532337,0.5355067,0.57529396,0.64233285,0.7067089,0.73863536,0.7214299,0.65687054,0.5589089,0.45432982,0.3685677,0.31759557,0.29799688,0.2964535,0.2989666,0.29859784,0.29378954,0.28623903,0.27880618,0.2754576,0.27865502,0.2881203,0.2996225,0.3074638,0.30699173,0.2960061,0.27473286,0.24441682,0.20826294,0.171642,0.1425754,0.12845023,0.1325274,0.1509381,0.17386042,0.1896898,0.19049096,0.17541045,0.15062675,0.12691732,0.1161266,0.12715721,0.16153152,0.21070476,0.25889102,0.29117155,0.3020014,0.2970235,0.28661028,0.2769409,0.2651475,0.24379711,0.20891988,0.16641463,0.12833513,0.10461346,0.09601877,0.096131854,0.098443486,0.101755746,0.10983487,0.12592702,0.1486906,0.17173685,0.18822551,0.19511177,0.19437115,0.19013041,0.18549103,0.18144174,0.17764716,0.17328489,0.1667378,0.15592606,0.1395542,0.11959269,0.10162995,0.09313762,0.09941465,0.12100154,0.15271802,0.18594193,0.21168704,0.22476095,0.22534113,0.21810524,0.20843369,0.19975448,0.19308506,0.18849264,0.18593562,0.18509372,0.18509798,0.184955,0.18436922,0.18392657,0.18477565,0.18762875,0.19240212,0.19787759,0.20235254,0.20397122,0.20171648,0.19585632,0.1881453,0.18077151,0.17506087,0.17085552,0.16703443,0.16271724,0.15747117,0.151317,0.14449698,0.1391937,0.14032148,0.15468685,0.18594821,0.2309258,0.27932,0.3196328,0.34475473,0.35492674,0.35566816,0.35390368,0.3545312,0.3585322,0.36432227,0.3688871,0.36996448,0.3659476,0.35763517,0.34812632,0.34218076,0.34346703,0.3523799,0.36655346,0.38145566,0.3933457,0.39961243,0.4011025,0.40019986,0.3999351,0.4005669,0.40023217,0.3960664,0.38715592,0.37450424,0.36027873,0.3463441,0.3343737,0.32778558,0.33395377,0.3648452,0.4291093,0.52179694,0.6192295,0.6899889,0.7131552,0.68751246,0.62886125,0.55722046,0.49157944,0.4434884,0.41729054,0.40788856,0.4064974,0.40545717,0.40266582,0.3992519,0.3964753,0.39312506,0.38785377,0.3805716,0.37355223,0.36847493,0.3656713,0.3633432,0.35964176,0.35319126,0.3445554,0.33563673,0.32919857,0.3261273,0.32520208,0.323244,0.3188974,0.3126662,0.30765596,0.30643916,0.31255546,0.3289305,0.35734424,0.39386475,0.42887092,0.45076373,0.4514617,0.43056384,0.39407218,0.35344806,0.31951344,0.2988836,0.29038957,0.28864267,0.2890354,0.29036954,0.29462108,0.30333325,0.31897688,0.34493804,0.38824806,0.45398095,0.5395706,0.62847537,0.69394356,0.7111203,0.6694439,0.58138853,0.47467673,0.38173148,0.3221269,0.2999828,0.30510128,0.32367167,0.34341815,0.3576256,0.3651961,0.3691628,0.37372372,0.38067067,0.38878036,0.3953323,0.3987595,0.3989116,0.39542362,0.38643253,0.36999226,0.34692904,0.32172927,0.3006657,0.28838035,0.28634545,0.29226625,0.3019321,0.3108407,0.31701592,0.32248822,0.33477506,0.3661592,0.42734823,0.51723164,0.61544585,0.688677,0.7080533,0.66484743,0.57485384,0.46730888,0.37165257,0.30434027,0.2678167,0.253637,0.2514473,0.25267145,0.25267157,0.2500508,0.2479942,0.25399423,0.27697614,0.31952882,0.37271658,0.4180757,0.43950143,0.43331674,0.40900144,0.3805828,0.35729125,0.34210393,0.33278546,0.3264382,0.31956312,0.31104073,0.30084375,0.2903203,0.27953455,0.26845142,0.25793102,0.25104332,0.25051117,0.25628197,0.26507065,0.27323246,0.27910504,0.28258598,0.28379488,0.2827079,0.28043434,0.27960786,0.28391537,0.29787278,0.3253368,0.36693844,0.41644335,0.46130118,0.48944125,0.49812484,0.500686,0.51809406,0.5646549,0.6319225,0.6931467,0.7184635,0.6920783,0.6186218,0.51790905,0.41802177,0.3416688,0.29957974,0.28672054,0.29101244,0.30018297,0.30697086,0.30824256,0.30485848,0.30012584,0.29832533,0.30124465,0.3071895,0.31233883,0.31390005,0.31188855,0.30799878,0.3039197,0.30014706,0.2970385,0.29804325,0.31245348,0.35459653,0.43303266,0.53982115,0.6449711,0.7113158,0.7125849,0.6531157,0.56320286,0.48367643,0.4374372,0.42121187,0.41408816,0.40054604,0.37892532,0.35681865,0.33937764,0.327517,0.3191611,0.3125659,0.30527595,0.29587558,0.28492892,0.2750267,0.26952294,0.2723386,0.29103684,0.3356967,0.41269097,0.51389456,0.6156349,0.68718773,0.7073707,0.6722913,0.59742826,0.50824535,0.4308294,0.37933984,0.35356355,0.34332302,0.3389438,0.33643928,0.33641896,0.33941352,0.34322867,0.34414563,0.33996367,0.3311275,0.31942233,0.3061001,0.29207,0.27893746,0.2686021,0.26261127,0.26097843,0.26358768,0.26930216,0.2769129,0.28413114,0.28993157,0.29469088,0.30047452,0.30913448,0.3223034,0.34358123,0.37973168,0.43738732,0.51468605,0.5973236,0.66172534,0.6867599,0.66188955,0.59413385,0.5039489,0.41895366,0.3577964,0.32452047,0.30861446,0.29826495,0.2864647,0.27335593,0.2610123,0.252602,0.25270945,0.26746586,0.29926804,0.34084213,0.37659797,0.39248708,0.38641593,0.3674567,0.347021,0.33052754,0.31823292,0.30940214,0.30461213,0.304067,0.30615774,0.30806684,0.30701745,0.301536,0.29231867,0.28282592,0.27790698,0.28037593,0.2888235,0.2983881,0.30476618,0.3064656,0.30463278,0.3009356,0.29640198,0.29203525,0.288656,0.28685972,0.28502902,0.28033373,0.2699801,0.25471294,0.23890425,0.23091908,0.24150592,0.28352645,0.36402956,0.4764484,0.5944465,0.68370634,0.7180068,0.69350797,0.6265647,0.5432298,0.46758413,0.4132994,0.38264266,0.3683581,0.36113784,0.3540988,0.34585977,0.33865526,0.3359728,0.3393756,0.34749255,0.35641372,0.36167884,0.36034012,0.35234293,0.34117177,0.33172324,0.32797134,0.3297472,0.33394384,0.33608246,0.33405253,0.32823443,0.32137433,0.31588817,0.31275225,0.31088987,0.309664,0.31091222,0.3198146,0.3400109,0.3695912,0.3987995,0.416832,0.41720605,0.40240607,0.37967002,0.35755542,0.34115744,0.3318523,0.32784453,0.32601604,0.3241023,0.32058886,0.3157101,0.3101922,0.30794272,0.31669417,0.34843302,0.4117948,0.5029695,0.6005377,0.67246336,0.6923085,0.65261793,0.56954986,0.47204772,0.3887026,0.33413258,0.30913138,0.30492738,0.31215385,0.32293716,0.33168802,0.33437863,0.33005273,0.3213738,0.31278297,0.30740607,0.304999,0.303241,0.30005267,0.29516044,0.28916332,0.28240356,0.27462813,0.26587108,0.25733295,0.25115204,0.2502506,0.25650254,0.2704699,0.2896186,0.31023097,0.3291726,0.34919807,0.37987903,0.43273768,0.50954956,0.59484774,0.66029,0.68051285,0.6472462,0.57389903,0.48590863,0.40776882,0.3518496,0.3181896,0.29990256,0.28993317,0.2838039,0.27905342,0.27516544,0.2736846,0.27911744,0.2967409,0.3281617,0.36701646,0.4003067,0.41588053,0.41003808,0.38876185,0.36256692,0.339635,0.3229847,0.3111494,0.3019632,0.29485962,0.29092175,0.29041934,0.29097068,0.28878713,0.2812146,0.26946774,0.2580685,0.25217947,0.2536945,0.2599629,0.26621404,0.26900467,0.26760176,0.26266015,0.25497505,0.24597569,0.2391877,0.24160314,0.26228544,0.30786386,0.37502548,0.44840574,0.50479734,0.5279473,0.51866704,0.5002592,0.5031299,0.54593533,0.61798316,0.6864137,0.716297,0.69097114,0.6181484,0.52154166,0.42931,0.3609791,0.32241735,0.30734226,0.30511954,0.30753896,0.30998242,0.31055984,0.30875608,0.305827,0.3045608,0.30655658,0.31086573,0.31367275,0.31238613,0.30738178,0.30197492,0.29886746,0.29880616,0.30113652,0.30814192,0.32706365,0.36979043,0.44322357,0.5411024,0.6381319,0.70171505,0.7065199,0.6535628,0.568214,0.4879553,0.4359635,0.41217175,0.39954445,0.3836964,0.361456,0.33755088,0.31677726,0.30139887,0.29136848,0.2850531,0.27919295,0.2720394,0.26477435,0.26078904,0.26292706,0.27346766,0.29757583,0.34374428,0.41877,0.5173282,0.6180683,0.68916225,0.70438504,0.65588045,0.5603052,0.4498447,0.35774112,0.3019478,0.2815658,0.2830372,0.2920052,0.29963538,0.30355898,0.30481085,0.30586797,0.30835485,0.3133266,0.3200065,0.32693478,0.33163282,0.3329983,0.3316412,0.32922557,0.326315,0.32136634,0.31335023,0.30341974,0.29562488,0.29304942,0.29550558,0.29914343,0.29944202,0.29481435,0.2891545,0.2932088,0.32249412,0.388217,0.48729134,0.59584045,0.6800019,0.7103037,0.67757136,0.5940836,0.48803294,0.38995275,0.3196499,0.28077886,0.263993,0.2582244,0.25617552,0.2564607,0.25937232,0.26629773,0.27919236,0.30076537,0.3317318,0.36680886,0.39625338,0.41069183,0.40867636,0.3955381,0.37887776,0.36239418,0.3459476,0.3282276,0.3095212,0.29234478,0.2800058,0.2746583,0.27575448,0.28044763,0.28561687,0.28967714,0.29288903,0.29583135,0.2980571,0.29786804,0.2938964,0.2862483,0.27666795,0.26726738,0.2602336,0.25790915,0.2628734,0.2764043,0.2973521,0.32170582,0.34444752,0.360656,0.36809602,0.36887407,0.37205625,0.39152026,0.438431,0.5117826,0.5943354,0.6605551,0.68887526,0.67195565,0.61783904,0.54487944,0.47404268,0.4202235,0.38832888,0.37304428,0.36537245,0.35763028,0.3477615,0.33759677,0.3308632,0.32939544,0.33271506,0.33825085,0.34298316,0.3443482,0.3408487,0.33282888,0.3220382,0.31111154,0.30166677,0.2946851,0.29011402,0.28805768,0.28740892,0.28665814,0.284068,0.2797642,0.27553177,0.27478752,0.2813066,0.29856476,0.32628,0.35877666,0.38469496,0.39472866,0.38587484,0.36497927,0.34091094,0.3216538,0.30890596,0.30218974,0.2983015,0.29518983,0.29106414,0.2863486,0.28186533,0.2799003,0.2844824,0.3046436,0.35063457,0.42786124,0.5263637,0.62248856,0.68601924,0.6959198,0.6482538,0.55974406,0.45966434,0.37660792,0.325538,0.30418715,0.3010901,0.3049195,0.30945003,0.31197008,0.31129935,0.30749825,0.30199006,0.29720762,0.29506996,0.29610088,0.29944572,0.30376598,0.30802432,0.31164023,0.31396157,0.31451538,0.31297484,0.31012058,0.30725297,0.3059751,0.30659464,0.30779746,0.30718172,0.3036019,0.30072185,0.3089689,0.34360227,0.41461074,0.5163499,0.6231211,0.70022637,0.72009546,0.6765867,0.5858502,0.47803947,0.38254514,0.3170927,0.28440186,0.27657977,0.28170916,0.28846863,0.2898539,0.28488687,0.27899933,0.28068283,0.296868,0.32825217,0.36670473,0.3986131,0.41135383,0.40188828,0.37678924,0.3482152,0.32506716,0.31044734,0.302121,0.29702425,0.2937699,0.29241586,0.2930162,0.29399046,0.29371333,0.2912902,0.28788376,0.2849748,0.28369167,0.2833209,0.28232098,0.27897778,0.27253544,0.26281804,0.25008145,0.23574851,0.22365749,0.22052647,0.23416536,0.26985303,0.32653177,0.3949388,0.46019778,0.5063223,0.52419734,0.5172977,0.5059826,0.51705474,0.56673664,0.64389914,0.7146842,0.74253017,0.7095855,0.62556034,0.5191183,0.42326236,0.35829106,0.3268381,0.3183806,0.3203634,0.3253229,0.33005401,0.33363116,0.33493984,0.33481577,0.33492061,0.3367289,0.33859333,0.33740464,0.3309716,0.32104394,0.3112059,0.30513814,0.3043923,0.30999413,0.32408118,0.3511838,0.39799407,0.46743217,0.55314547,0.63407284,0.68323594,0.68015987,0.62774724,0.5503269,0.4813309,0.43995008,0.42449117,0.41935846,0.41218463,0.39990342,0.38545808,0.37119773,0.3582466,0.3467598,0.33717418,0.32808423,0.31921923,0.31068638,0.30461404,0.30175516,0.30442134,0.31835422,0.35434714,0.42001542,0.51074106,0.6050044,0.67352897,0.6915674,0.6518666,0.5671552,0.46651065,0.38062415,0.32762274,0.30639336,0.30377138,0.3067212,0.308638,0.30842504,0.306002,0.3018475,0.29707167,0.29492915,0.29852113,0.30999723,0.32775584,0.3474321,0.36228898,0.3676462,0.36268806,0.3516601,0.34006977,0.33168933,0.32633007,0.32172003,0.3152525,0.306031,0.29407197,0.28147817,0.27296516,0.27851716,0.31045532,0.37629065,0.46985617,0.5690195,0.64509314,0.67375857,0.6463695,0.57103324,0.47231838,0.3800498,0.31757066,0.29087391,0.29080084,0.30229607,0.31369781,0.31958255,0.31973436,0.31738153,0.31914207,0.33096683,0.3551308,0.38456634,0.40866077,0.41752207,0.41107118,0.39436063,0.37500706,0.35600945,0.33835983,0.32179794,0.3079948,0.2988895,0.29542962,0.29515752,0.2932544,0.2853574,0.27245077,0.26099768,0.25908616,0.26922998,0.28673646,0.3026912,0.31045482,0.30817792,0.29885697,0.28710702,0.27727285,0.27112457,0.26926884,0.27199507,0.28075063,0.2951024,0.3119154,0.32613543,0.33579484,0.34411657,0.35910103,0.3904585,0.44455186,0.51916885,0.5991624,0.66151047,0.68475294,0.6604944,0.5958186,0.5100871,0.42591774,0.36143532,0.3248937,0.31487668,0.32346237,0.34044245,0.35684076,0.36706913,0.3699529,0.36707094,0.36119905,0.35446706,0.34886417,0.34546554,0.3446529,0.3447784,0.34357092,0.33869493,0.3300842,0.31946495,0.30984497,0.30293342,0.2983291,0.29386875,0.2880492,0.28148052,0.27672422,0.27683318,0.28489196,0.30394194,0.33519256,0.37441012,0.41007647,0.4282017,0.42076787,0.39241743,0.35712126,0.32933995,0.31490144,0.31069994,0.3098842,0.30783093,0.30383465,0.29925737,0.29564464,0.29422572,0.29798815,0.31447506,0.35480168,0.4266692,0.5242471,0.62442654,0.69480395,0.70842147,0.6588411,0.56355804,0.45711613,0.37181768,0.32258222,0.30286962,0.29585758,0.28825247,0.27590063,0.26174885,0.24987428,0.24342383,0.2436434,0.25109518,0.26552466,0.28543034,0.30716467,0.32551134,0.3359972,0.3375446,0.333224,0.3285413,0.32790458,0.33192632,0.3373216,0.3402921,0.3397851,0.33785424,0.3359206,0.3328049,0.32762817,0.32668617,0.34559503,0.39949596,0.48885787,0.5902341,0.6676472,0.68964833,0.6484267,0.55961686,0.45568264,0.36714527,0.3114287,0.2870737,0.28162983,0.2815571,0.27896988,0.272335,0.2634944,0.25659359,0.2574577,0.27272943,0.30555525,0.35019174,0.39241752,0.41662785,0.41624054,0.3960882,0.36757898,0.33975855,0.31595632,0.29479402,0.2749668,0.25772905,0.2466787,0.24449272,0.25000325,0.25864646,0.2653134,0.2679347,0.26784322,0.26776063,0.26890406,0.2698419,0.2683306,0.2630534,0.25517696,0.24668299,0.24002624,0.23671274,0.23902617,0.25033638,0.27599874,0.31960353,0.37852553,0.4412004,0.49089837,0.5157035,0.5167597,0.51158005,0.52278495,0.56442094,0.6279101,0.68693924,0.7089632,0.67585564,0.5921125,0.4851989,0.3877552,0.3215311,0.28777838,0.275906,0.274029,0.27608737,0.2795771,0.2834661,0.28763556,0.29366767,0.30398655,0.31846216,0.33318076,0.34141898,0.33920515,0.32763824,0.31292418,0.30094615,0.29509702,0.29556537,0.30442178,0.327961,0.37631384,0.45390463,0.5505664,0.63867015,0.6868029,0.6772003,0.6197457,0.5440683,0.48292184,0.45059133,0.4409081,0.4364514,0.42559406,0.4070975,0.3859029,0.3656014,0.34705496,0.33019337,0.31521448,0.3020148,0.28988543,0.27886268,0.2696142,0.26417032,0.26646996,0.2848885,0.33064124,0.40937313,0.51265967,0.61475873,0.68472415,0.6985002,0.6519452,0.559621,0.45078292,0.35498932,0.29170522,0.26457116,0.2657466,0.28364816,0.30683422,0.32716617,0.339604,0.3441863,0.34378123,0.34230125,0.34190914,0.3426068,0.3429226,0.3410854,0.33596066,0.3271258,0.31530365,0.30219403,0.29054052,0.28262433,0.27972376,0.2814182,0.28601333,0.29072395,0.29252884,0.290756,0.29009297,0.3023093,0.34236014,0.4180065,0.5210487,0.62496644,0.69818735,0.7156973,0.6722512,0.58001816,0.4678149,0.36678147,0.30080375,0.27474803,0.2783464,0.29374474,0.30676368,0.31061724,0.3064082,0.2995364,0.29781365,0.30735636,0.33029386,0.360059,0.3854731,0.39579487,0.39001206,0.37366402,0.35417303,0.33327207,0.31030834,0.28556076,0.26336315,0.24835938,0.24285077,0.24511717,0.2516535,0.25870565,0.2645749,0.269254,0.27396953,0.2788445,0.28323433,0.28592527,0.28704348,0.28683814,0.28600344,0.28436136,0.28258857,0.28146514,0.28255984,0.28626657,0.2913592,0.2942705,0.2912989,0.28135523,0.2674148,0.25455666,0.24604268,0.24161883,0.23882534,0.23598032,0.23333798,0.2318782,0.23188223,0.23212533,0.23114109,0.22825126,0.22435105,0.22172219,0.2226482,0.22868164,0.23888642,0.25028184,0.25759932,0.2555007,0.24071379,0.21541756,0.18772762,0.16766207,0.16048211,0.16291492,0.16702332,0.16681089,0.16198194,0.15502717,0.14696383,0.13681473,0.12467239,0.11509233,0.114336886,0.1262744,0.14806421,0.17331351,0.19485378,0.20817901,0.21041322,0.2021041,0.1875212,0.17423655,0.16817115,0.17045118,0.17702202,0.18179627,0.17888786,0.16521811,0.14264207,0.119904995,0.10822686,0.114585616,0.13505794,0.15866527,0.174264,0.17817192,0.17277038,0.16320433,0.15353425,0.1464435,0.14342694,0.14443,0.14818221,0.15230529,0.1546362,0.15347207,0.1494993,0.14561355,0.14582898,0.1507831,0.15732054,0.16070475,0.15949875,0.15567054,0.15191229,0.14900167,0.14608443,0.1425526,0.1387295,0.1350447,0.13113378,0.124950625,0.11446492,0.09878594,0.08031822,0.06321057,0.05244633,0.051966015,0.064390354,0.08880782,0.11962682,0.14797153,0.16698195,0.1753593,0.17680566,0.17579918,0.17514288,0.17540002,0.17594439,0.17549463,0.17325181,0.16923721,0.1637615,0.1562921,0.14613824,0.13445,0.12503895,0.121809654,0.12534483,0.1321624,0.13837095,0.14308655,0.14868027,0.15682279,0.16597778,0.17190494,0.17186506,0.16685112,0.16225131,0.16367328,0.17481758,0.19333653,0.21384262,0.22799514,0.23067017,0.21958326,0.19909774,0.176856,0.16174532,0.15783726,0.16299091,0.17102344,0.17623514,0.17611863,0.17069614,0.16140793,0.15128763,0.14451517,0.14511873,0.15334906,0.16613866,0.17855234,0.18782975,0.19325733,0.19568187,0.19589905,0.1947645,0.1933214,0.19222856,0.1914898,0.19020617,0.18765461,0.18334217,0.17755993,0.17077805,0.16479744,0.16128223,0.16182125,0.16526645,0.16977005,0.17260921,0.17289108,0.17031819,0.1658784,0.16044466,0.15520917,0.15098749,0.14867271,0.14847098,0.15011637,0.15249906,0.1546197,0.15554024,0.15483195,0.15232886,0.14863326,0.14482117,0.14180668,0.13917612,0.13533206,0.12890945,0.12091718,0.11530259,0.11742655,0.13035811,0.15230824,0.17644517,0.19505824,0.20349385,0.20251833,0.19599968,0.18808667,0.18092531,0.17501962,0.17045425,0.16752018,0.16675282,0.16791666,0.1700946,0.17164321,0.17137063,0.1688845,0.16509335,0.16133524,0.15872236,0.15748926,0.15759279,0.15902953,0.16176516,0.16491078,0.16683346,0.16597211,0.16202344,0.15597098,0.14961182,0.14464287,0.14208679,0.14173847,0.14233257,0.14234926,0.1409452,0.13780856,0.13244952,0.12372979,0.11099244,0.09510558,0.07884952,0.06523331,0.056115072,0.051351633,0.049945477,0.05087337,0.053909093,0.059077363,0.06648656,0.0758216,0.08638515,0.09694486,0.10590568,0.11176606,0.11348922,0.11093542,0.10449377,0.09507235,0.083653696,0.07177936,0.061839614,0.057658885,0.06396461,0.08407406,0.11747726,0.15831964,0.1982389,0.22931878,0.24741131,0.25155953,0.24379492,0.22765355,0.2080015,0.18980812,0.17746235,0.173123,0.17556667,0.17941706,0.17793562,0.1672157,0.15068586,0.13722382,0.13639908,0.15140872,0.17871334,0.20973831,0.23570144,0.24851255,0.24256007,0.21617621,0.17488074,0.13094859,0.09902089,0.08795471,0.09686159,0.11616408,0.13544612,0.1482109,0.15390481,0.1541471,0.15128095,0.1473458,0.14470905,0.14487182,0.14736915,0.15024666,0.15112774,0.14965278,0.14720707,0.14742844,0.15305986,0.16506936,0.18061858,0.19527708,0.20448755,0.20597766,0.19996409,0.18922429,0.17784669,0.16966581,0.16581738,0.1646081,0.16284722,0.15908132,0.15431148,0.15088397,0.15033892,0.1525122,0.1564749,0.16127466,0.16636145,0.17113616,0.17470224,0.17659624,0.1769733,0.17702048,0.1774414,0.17829162,0.17856888,0.17785664,0.17651914,0.1758653,0.17657743,0.17835696,0.17973869,0.17908342,0.17449076,0.16440263,0.14875616,0.13134092,0.11939919,0.11944673,0.13197725,0.15047432,0.1664647,0.17507611,0.17677487,0.1741857,0.16891259,0.16055678,0.14782754,0.13015217,0.108791016,0.08752372,0.0715807,0.065263726,0.069498904,0.08160144,0.0973647,0.113126196,0.12622206,0.1334952,0.13125767,0.11731824,0.095020056,0.073728,0.06541801,0.0770426,0.106817625,0.1447192,0.17954314,0.20374602,0.21615261,0.2191018,0.21608323,0.20964606,0.20155834,0.19312485,0.1856101,0.18024784,0.177895,0.17845541,0.18077888,0.18318097,0.18460123,0.18498003,0.18484914,0.18434377,0.18310516,0.18080641,0.17764522,0.17370427,0.16813023,0.1587385,0.14419825,0.12597395,0.11008551,0.103133075,0.10872086,0.1233398,0.13994612,0.15137099,0.15490307,0.1517239,0.14621788,0.14433582,0.15145236,0.16978806,0.1957271,0.22189315,0.2409584,0.2503973,0.25224444,0.2506842,0.24861889,0.24700941,0.24543868,0.24358554,0.24143665,0.23937155,0.23732261,0.2352701,0.23362039,0.2340212,0.23824984,0.24680734,0.25796658,0.26889285,0.2771211,0.28166163,0.28261712,0.2810777,0.27823147,0.27520534,0.27226016,0.26916984,0.26486263,0.25754777,0.24479,0.22541828,0.20115788,0.17713948,0.15983158,0.15423375,0.16166735,0.17877764,0.1989008,0.2148319,0.22258578,0.2227424,0.21879905,0.21373427,0.2077198,0.19917428,0.18762195,0.17536776,0.16623478,0.16217165,0.16233695,0.16442907,0.16788977,0.17437486,0.18659262,0.20582746,0.23103191,0.2579858,0.2810649,0.2945232,0.2968572,0.2905036,0.2815989,0.27492607,0.2727531,0.2737526,0.27538085,0.2751732,0.2721661,0.26671782,0.25987923,0.2523408,0.24419755,0.23540236,0.22638166,0.21804035,0.21098112,0.20500493,0.19925024,0.192829,0.18533863,0.17678714,0.16750567,0.15752833,0.146699,0.1348836,0.123150945,0.113437414,0.10780337,0.1074397,0.113045424,0.12494981,0.14062695,0.15379816,0.15576912,0.14293724,0.11908967,0.09365288,0.073385224,0.059651047,0.049642373,0.042204726,0.040235233,0.050601035,0.07804581,0.12116369,0.16894491,0.20741053,0.2253229,0.22210944,0.20619853,0.19097239,0.18619816,0.19334452,0.20681466,0.21908845,0.22627549,0.22808617,0.2264847,0.22330065,0.22016005,0.21803088,0.21741353,0.2181486,0.21923618,0.21845001,0.21270548,0.20053059,0.18420845,0.16994901,0.16427857,0.17062785,0.18813628,0.21257292,0.23796809,0.25795996,0.26893893,0.27140543,0.26958242,0.2671988,0.2655759,0.26326185,0.25818983,0.2480072,0.23046274,0.20492558,0.17491214,0.14846672,0.13319226,0.13101244,0.13714524,0.14586051,0.15493873,0.16540395,0.1771339,0.18776043,0.19482489,0.19864386,0.2015097,0.20555024,0.21085489,0.21627899,0.22031724,0.22250737,0.22310789,0.22385146,0.22739945,0.2363625,0.25005677,0.26332504,0.2694191,0.2654538,0.2549389,0.24433409,0.23779334,0.23469913,0.23216467,0.22815543,0.22229926,0.21368569,0.19970286,0.17836219,0.15208419,0.12838168,0.115026504,0.11435781,0.12240827,0.13353373,0.14622027,0.16237415,0.18366092,0.20648332,0.22475912,0.23273428,0.22930886,0.2167924,0.20132494,0.19011486,0.1888829,0.19734865,0.2100602,0.22001256,0.22364438,0.22128981,0.21628441,0.2128743,0.2148868,0.22315525,0.23464565,0.24363893,0.24510042,0.23642804,0.21756713,0.19030112,0.15878606,0.12999906,0.11209059,0.110471986,0.12388301,0.14499871,0.1641921,0.17576264,0.17898333,0.17793037,0.176566,0.17789902,0.18186378,0.18746978,0.19285707,0.1965059,0.19685777,0.19308667,0.18586504,0.177563,0.17049794,0.165551,0.16184841,0.15950435,0.15969639,0.16441697,0.17274024,0.18307434,0.1936887,0.20613627,0.22064276,0.23577102,0.246755,0.25087517,0.24793549,0.24076976,0.2318573,0.2229379,0.21483465,0.20836906,0.20428859,0.20308405,0.20466872,0.20847374,0.2136363,0.21943091,0.22524701,0.23055798,0.23484027,0.23763359,0.23857139,0.23716551,0.23301198,0.22637646,0.21850486,0.21144885,0.20665151,0.20454246,0.20408785,0.20367874,0.20127146,0.1947093,0.18257792,0.16544205,0.14736976,0.1343181,0.13089772,0.13671124,0.14704375,0.15709437,0.16631281,0.17783694,0.1943488,0.21399261,0.23198073,0.24384642,0.24862206,0.24762438,0.24325712,0.2377727,0.23303689,0.22975035,0.22735141,0.2245143,0.22028388,0.21348386,0.20287627,0.18726926,0.16833866,0.15070944,0.14023352,0.13880104,0.1426986,0.14526384,0.14323407,0.14013392,0.1428411,0.15530396,0.17395674,0.19154437,0.20204765,0.2051066,0.2037854,0.20254739,0.20481747,0.21203013,0.22226305,0.23031525,0.23095576,0.22250889,0.20806305,0.19262803,0.18006007,0.17206635,0.16913997,0.1710396,0.17642213,0.18283565,0.18782675,0.19005202,0.18891008,0.18379796,0.17406124,0.16107923,0.14905685,0.14384043,0.14874966,0.16218626,0.17802696,0.18953945,0.19282103,0.18858449,0.18082362,0.1744004,0.17211623,0.17373405,0.17635472,0.17628972,0.17029475,0.15694666,0.13730304,0.11560633,0.09749872,0.08745894,0.08570602,0.08944365,0.09592751,0.10669314,0.12572037,0.15573455,0.19302239,0.22988857,0.25832814,0.27579656,0.2840116,0.2870385,0.2866046,0.28131613,0.26680142,0.23935348,0.19927804,0.15341082,0.11319523,0.0900324,0.08897912,0.10656142,0.13208918,0.1542585,0.1655907,0.16541177,0.15744598,0.14788426,0.14232068,0.14387779,0.15175499,0.16191001,0.17064314,0.17658962,0.18175085,0.18833824,0.19819547,0.21038134,0.22230206,0.22922339,0.22848475,0.22124891,0.21315889,0.20883991,0.20783101,0.20358418,0.18892837,0.16216262,0.13044102,0.10664755,0.101602405,0.117168985,0.14445817,0.16987872,0.18194287,0.1771192,0.15945421,0.13825837,0.12241637,0.116500646,0.11966751,0.12830202,0.13913466,0.14967234,0.15814157,0.16316861,0.16504681,0.16492774,0.1637497,0.16073829,0.15427506,0.1435797,0.13014604,0.11713836,0.1077875,0.104295425,0.10841628,0.12139065,0.1433898,0.1714689,0.20092392,0.22667062,0.24651653,0.2600862,0.26863158,0.27272794,0.27300575,0.26949182,0.2628075,0.25376067,0.24398817,0.23491682,0.22741233,0.22089231,0.21403499,0.20555075,0.19548385,0.18478231,0.17488925,0.166187,0.15870963,0.15189421,0.14590444,0.14053561,0.13545273,0.12986328,0.12350922,0.11704743,0.11100757,0.10526207,0.09894738,0.09327101,0.09207394,0.09984372,0.11557714,0.13132107,0.13624518,0.12618534,0.10578067,0.08455235,0.06809163,0.05651924,0.046761144,0.0380364,0.033171386,0.038183495,0.057414353,0.09025333,0.12906402,0.16450115,0.19019209,0.20606613,0.21511622,0.2202683,0.22255911,0.22176997,0.21763872,0.21047212,0.20176049,0.19371752,0.1882868,0.18587822,0.18497889,0.18283205,0.17716873,0.1676374,0.1565281,0.14694457,0.14101608,0.13839065,0.1380506,0.14000422,0.14627779,0.1582818,0.17478323,0.19132696,0.20385915,0.21057142,0.21294868,0.21260013,0.21088694,0.20791693,0.20430975,0.20075715,0.19759305,0.19402194,0.18766905,0.17664868,0.16046686,0.14257012,0.12863724,0.125354,0.13507073,0.15497436,0.17689534,0.19358605,0.20067705,0.19831277,0.18761164,0.17109905,0.15276532,0.13849823,0.13353436,0.13941385,0.15365289,0.17032962,0.18331264,0.18782164,0.18330117,0.17276567,0.16060887,0.14969097,0.14115374,0.13740875,0.14166816,0.15524615,0.17389627,0.19063753,0.20039679,0.2024095,0.19756435,0.18528128,0.16400017,0.13421912,0.10089147,0.071598746,0.052567612,0.045326207,0.04732504,0.054809537,0.06542965,0.07885519,0.09579405,0.1165906,0.1395178,0.1607951,0.17600948,0.1834413,0.18423788,0.18161899,0.17738777,0.172454,0.1661675,0.15800844,0.1466776,0.13196968,0.11532476,0.10036994,0.09071076,0.08804404,0.09150386,0.09903208,0.10941175,0.122711085,0.13906328,0.15634277,0.17065887,0.17864929,0.18007493,0.17729421,0.17309757,0.1692453,0.16626625,0.1641649,0.16229935,0.15981893,0.15593965,0.15087669,0.14568204,0.14169542,0.13917929,0.13704771,0.13335818,0.12687255,0.11773461,0.10745566,0.09800795,0.091133125,0.08777291,0.08770285,0.089721076,0.09217122,0.09407803,0.09597067,0.100155294,0.10908488,0.12200972,0.13356167,0.13638659,0.12799041,0.113230936,0.10118705,0.09747421,0.101260595,0.10733572,0.110900946,0.10987965,0.10427456,0.09453655,0.080977224,0.06431811,0.046582382,0.031288337,0.02311094,0.027151065,0.046186816,0.07848967,0.116047464,0.14919686,0.17091052,0.18107407,0.18355554,0.18312122,0.18212247,0.1809752,0.17902897,0.1754378,0.16928641,0.15976548,0.14680904,0.13198876,0.11865831,0.11075354,0.11047002,0.11628922,0.12373815,0.12828742,0.12977332,0.13272862,0.14338867,0.16387331,0.19048941,0.21635641,0.23612599,0.2486124,0.255657,0.25998092,0.26272723,0.2625046,0.25554976,0.23746002,0.2065257,0.16644825,0.12697107,0.10018676,0.09418553,0.108381055,0.13337784,0.15715124,0.17084073,0.17236258,0.16438395,0.15208511,0.14090364,0.13523184,0.13669135,0.14309317,0.15025873,0.15490793,0.15695614,0.15837568,0.16113478,0.16545944,0.17020391,0.17385109,0.17564054,0.17638844,0.17808086,0.18258633,0.18885942,0.19264306,0.18791462,0.17209391,0.14856495,0.1273172,0.11853525,0.12707107,0.14792565,0.17058212,0.18438578,0.18373597,0.1681046,0.14120002,0.11087662,0.0874059,0.080611,0.093785785,0.12235016,0.15537041,0.18272428,0.19936119,0.20656602,0.20823961,0.20742214,0.2045417,0.197752,0.18444349,0.16322394,0.13575788,0.10698364,0.0825935,0.06674454,0.060866836,0.0658229,0.08147928,0.10651067,0.13590162,0.16417809,0.18706827,0.20433487,0.21665214,0.22459398,0.22744738,0.22516342,0.2188356,0.21032302,0.20134437,0.19259928,0.18447876,0.17689574,0.17046233,0.16541074,0.16214193,0.15981431,0.15770204,0.15491854,0.15181696,0.148895,0.14685726,0.14567077,0.14508235,0.14451428,0.14340997,0.14156078,0.13903205,0.13658528,0.13435192,0.13291104,0.1319691,0.1324436,0.13399762,0.13689123,0.1396073,0.1418562,0.14282052,0.14330633,0.14345479,0.14396326,0.14477123,0.14608447,0.1475754,0.14805008,0.14550456,0.13862436,0.12971185,0.12415501,0.12721418,0.13900912,0.15486927,0.16918777,0.17961192,0.18693252,0.19253053,0.19696195,0.2001348,0.20225185,0.20356964,0.20404072,0.20308381,0.2000866,0.195036,0.18889652,0.18321837,0.17942877,0.17801362,0.17828047,0.17836535,0.17580879,0.1688769,0.15791923,0.14594047,0.13662733,0.1319964,0.13075715,0.12981662,0.12640813,0.120435685,0.11484504,0.11508441,0.12566783,0.14684868,0.17256981,0.19433011,0.20607458,0.20763643,0.20211905,0.1923757,0.17920323,0.16340877,0.14813966,0.13853301,0.13833666,0.14668976,0.15827666,0.16697623,0.16888899,0.16295506,0.14923398,0.12878634,0.105374165,0.08638618,0.08120162,0.09439025,0.1228961,0.15533684,0.18142514,0.19580527,0.20148124,0.20304023,0.20383067,0.20224221,0.19379146,0.17408271,0.14380798,0.11107469,0.08847898,0.085523486,0.102663524,0.13080166,0.15814213,0.1764275,0.18448544,0.18463986,0.17900343,0.1665662,0.14568512,0.11713612,0.08648523,0.061476782,0.047754616,0.04611288,0.053739127,0.06847257,0.08923908,0.115418196,0.14281541,0.16631766,0.1814286,0.18848892,0.18999423,0.189489,0.18863797,0.18834768,0.1884224,0.18833162,0.1865564,0.18084823,0.16863914,0.14879847,0.12325182,0.09705993,0.07568353,0.0621165,0.05560799,0.053542163,0.053286094,0.05348588,0.053669672,0.054529283,0.05796342,0.067186795,0.08418095,0.10798085,0.13336591,0.15462919,0.16785204,0.17363392,0.17449111,0.17371315,0.17269713,0.17185621,0.17073949,0.1695113,0.16841322,0.16749133,0.16618365,0.16391765,0.1607954,0.15745449,0.15457946,0.15219569,0.14962274,0.14575638,0.1392035,0.12870158,0.113296084,0.09341293,0.07114896,0.05020325,0.034332085,0.026480941,0.028536161,0.04187179,0.066175245,0.09757382,0.1281842,0.1497647,0.15879892,0.15819974,0.15415405,0.15106952,0.14985886,0.14921604,0.14819032,0.14684288,0.14587343,0.14573227,0.14636323,0.14730376,0.14799023,0.14804943,0.14730535,0.14572644,0.14331351,0.1403516,0.13738899,0.13517575,0.13413958,0.13429348,0.13519026,0.13613349,0.13634908,0.13529645,0.13305826,0.13045828,0.12854414,0.12803645,0.12867124,0.12963116,0.1297635,0.12852354,0.12601943,0.12316707,0.12098815,0.12006261,0.120256625,0.12089101,0.12127855,0.12092766,0.11973905,0.117907755,0.115873635,0.11403594,0.11263675,0.11161036,0.110820025,0.10997692,0.108880274,0.10734948,0.10549756,0.10356016,0.101819254,0.100367494,0.09916862,0.0981256,0.09718123,0.09630885,0.09548217,0.09466493,0.0938341,0.09301999,0.09227245,0.09160396,0.09092602,0.09008964,0.089002095,0.08769298,0.086315095,0.08502179,0.08392253,0.083108775,0.08266471,0.082628705,0.082827635,0.08293726,0.082632504,0.08183891,0.08068494,0.07937031,0.07797543,0.076530226,0.07505742,0.07369202,0.072577685,0.071819454,0.07131492,0.07083893,0.07013612,0.06913645,0.06793941,0.06673047,0.06566884,0.06483186,0.06421511,0.063664295,0.06296519,0.061928526,0.060585994,0.059128333,0.0578289,0.056863133,0.056271285,0.055963486,0.05576597,0.055508748,0.055059258,0.05438832,0.05356768,0.05276245,0.052129343,0.051690657,0.05129339,0.050674617,0.04968196,0.048365552,0.04699843,0.045842793,0.044999693,0.04433465,0.04363683,0.042783756,0.041826647,0.04092862,0.04023442,0.03978182,0.039478566,0.03918691,0.03879053,0.038238134,0.037516464,0.036636427,0.035640266,0.034604747,0.033608362,0.03269425,0.031848222,0.031041682,0.030257685,0.029519344,0.028862635,0.028323462,0.027908606,0.027586019,0.027284205,0.026913563,0.026431305,0.025860017,0.025288993,0.024786772,0.024368793,0.023990579,0.023603918,0.023179425,0.02270537,0.022182105,0.021624452,0.021071622,0.020558843,0.02010112,0.019677805,0.019255765,0.018807663,0.018331224,0.017846465,0.017394086,0.017001554,0.016679136,0.016388332,0.016075857,0.015681386,0.015200711,0.014689751,0.014256242,0.013973095,0.013825424,0.013709176,0.013516758,0.013212822,0.012851591,0.012515362,0.01224713,0.012018208,0.011763774,0.011443849,0.011072107,0.010705069,0.0103770355,0.01009356,0.009824101,0.009554047,0.009268582,0.00896321,0.0086212205,0.008242263,0.007841502,0.0074515473,0.007100783,0.0068007424,0.0065406244,0.0062860423,0.005992269,0.0056212596,0.0051604756,0.0046171118,0.0040058987,0.003337288,0.0026384883,0.0019777254,0.001471571,0.0012430812]