[0.10053105,0.09965799,0.09733102,0.093336485,0.08772171,0.08118371,0.07517978,0.071247764,0.07027946,0.071980156,0.07563356,0.080516405,0.08615098,0.09164277,0.09604303,0.098757766,0.099848546,0.099366225,0.09724522,0.093901545,0.090780266,0.08968854,0.091539256,0.09578959,0.1009166,0.10543248,0.10842162,0.10982861,0.10985901,0.10884562,0.10703808,0.10514753,0.103819154,0.10311792,0.10222448,0.10055261,0.09847688,0.09707683,0.09688636,0.09746498,0.09795018,0.09775627,0.096707724,0.09463174,0.09154964,0.08800415,0.08521483,0.0843004,0.08527263,0.08691764,0.0877007,0.08703748,0.085630424,0.084743105,0.0853844,0.08766597,0.090979606,0.094093956,0.095959894,0.09620017,0.09541798,0.0945827,0.09432288,0.09474512,0.095619805,0.096815206,0.098073386,0.09912067,0.09967768,0.10003071,0.10078218,0.102293976,0.1038527,0.10404303,0.10179461,0.09728757,0.091653496,0.08613484,0.08176907,0.079473324,0.07990851,0.08272616,0.08654035,0.089720726,0.09164729,0.09260327,0.09337165,0.094174266,0.09524722,0.09622678,0.09713954,0.097294636,0.096805096,0.09555352,0.09461048,0.09453627,0.09606365,0.098641805,0.10144652,0.10319095,0.10334469,0.102060206,0.100246765,0.09897902,0.09891801,0.09998286,0.10096222,0.100490004,0.097810954,0.09396413,0.09078621,0.08976203,0.09074967,0.09246213,0.09361168,0.09375062,0.09339613,0.093169086,0.093350194,0.09353018,0.093302734,0.09254804,0.09176939,0.09153643,0.09231958,0.09406346,0.096317135,0.098157376,0.09875143,0.09778235,0.09584618,0.093892746,0.0925348,0.0915857,0.09065076,0.089802615,0.08970978,0.09084267,0.09286022,0.094729304,0.09560946,0.09527952,0.09415106,0.09265552,0.091177545,0.0899208,0.089108,0.08893042,0.089552134,0.09108568,0.09331712,0.09579662,0.09781506,0.09889517,0.09873421,0.09747251,0.09552684,0.093875594,0.09352726,0.09520335,0.09836721,0.101639755,0.10321986,0.10247943,0.09995302,0.097115524,0.094912924,0.093571216,0.092746474,0.09223488,0.091970414,0.09174802,0.09123411,0.090202086,0.088927574,0.08793188,0.08785977,0.08911558,0.09184278,0.095595874,0.09942641,0.102271855,0.1036587,0.10400949,0.10421353,0.10492734,0.106083296,0.1071203,0.10735148,0.10631894,0.10389495,0.100478195,0.09692141,0.09402334,0.09192865,0.09016917,0.08856088,0.087672435,0.08835218,0.09047577,0.09278885,0.09384099,0.09329256,0.09196513,0.09107532,0.09138755,0.09311682,0.09600672,0.09955873,0.10322107,0.10656589,0.10929739,0.11102561,0.1114553,0.110511094,0.10847772,0.10570439,0.10253412,0.09935466,0.096573114,0.094345905,0.092424996,0.09046874,0.088500895,0.08694919,0.08624794,0.08644096,0.087293915,0.08845671,0.089674056,0.09068647,0.091527045,0.09253796,0.09422112,0.09660915,0.099028766,0.10059369,0.100809775,0.10003018,0.09889989,0.098151766,0.09821705,0.09937798,0.10152218,0.10406202,0.1062567,0.107510805,0.10772028,0.1068935,0.10520846,0.10294834,0.10067686,0.098909736,0.09786174,0.097401835,0.09726465,0.097273014,0.09726999,0.09713524,0.09667283,0.095739596,0.094093524,0.0916321,0.088537544,0.08566723,0.08409264,0.084507905,0.08650225,0.0890432,0.091109365,0.09241846,0.09313805,0.09354266,0.0937104,0.093515776,0.09283275,0.091496356,0.08970597,0.08803106,0.08748015,0.08863374,0.09107227,0.09334019,0.09410936,0.09315797,0.091465704,0.09017133,0.08990919,0.090580694,0.09198945,0.093708694,0.0954354,0.09664773,0.097227685,0.097138144,0.09660072,0.09571469,0.094679326,0.093912065,0.09399932,0.09538519,0.0981125,0.101718985,0.105585575,0.10882115,0.110949665,0.111808985,0.11200059,0.111854635,0.11145687,0.11051788,0.10936412,0.10882624,0.10981932,0.112544976,0.116194636,0.11944028,0.120901406,0.120091,0.11722312,0.113189995,0.10857507,0.10387716,0.09957876,0.09661154,0.09573114,0.09678627,0.098656066,0.10004178,0.100483485,0.100408666,0.100355804,0.100388505,0.099686466,0.09759629,0.09386102,0.08987758,0.08715283,0.08704552,0.088501565,0.089870684,0.089126505,0.086451046,0.08279962,0.080021806,0.07886887,0.079521485,0.08132851,0.084052734,0.087865375,0.09304678,0.09881735,0.10362641,0.10601986,0.10622239,0.1054643,0.10535455,0.10618179,0.107047044,0.10608668,0.10206551,0.09607156,0.09145733,0.092116676,0.098968275,0.10892049,0.11637024,0.116609104,0.10879144,0.09575069,0.08264286,0.07377199,0.071416385,0.07519125,0.08289123,0.091374904,0.09759241,0.09976611,0.09791664,0.09369558,0.089577675,0.08769653,0.088992745,0.09254531,0.096310996,0.098575555,0.09932983,0.09988111,0.10128283,0.10325703,0.10464633,0.10491466,0.10430481,0.103443444,0.101855,0.09890517,0.09400656,0.0881246,0.08256713,0.07882958,0.077254586,0.07737037,0.078026794,0.078326486,0.078108944,0.07789323,0.07814685,0.07875816,0.07894459,0.07817488,0.0765157,0.074884444,0.07401014,0.07409143,0.07466134,0.07540426,0.076355524,0.077634454,0.079006575,0.08010984,0.080994494,0.082304776,0.08474811,0.08870988,0.09413385,0.10090164,0.10863137,0.11644116,0.12287379,0.1267444,0.12825131,0.12911497,0.13152714,0.13656844,0.14371097,0.15145415,0.15830404,0.16330183,0.16604292,0.16647172,0.16492726,0.16184254,0.15806396,0.15411805,0.15043764,0.14654624,0.14221174,0.13735823,0.13293941,0.12956314,0.12740664,0.12528016,0.121893816,0.11583055,0.1068624,0.09519396,0.08204914,0.06850287,0.05599166,0.04545222,0.037787367,0.032939408,0.030551419,0.029809652,0.03072297,0.033269662,0.03740515,0.042009097,0.046066966,0.04910384,0.051595595,0.054350864,0.05797774,0.063180625,0.07031551,0.07948188,0.0898819,0.10067088,0.11084204,0.1196272,0.12585212,0.12893642,0.12928827,0.12905861,0.13066563,0.13544749,0.14242293,0.14900564,0.15269308,0.15240748,0.14894281,0.14372653,0.13797863,0.13184404,0.12505491,0.117286146,0.10838175,0.098212995,0.0866018,0.07427506,0.06255136,0.053073328,0.04607311,0.04063985,0.03521533,0.029361032,0.023890287,0.020494832,0.020289155,0.023396892,0.028935904,0.035851557,0.043154184,0.05025774,0.056934386,0.06360202,0.07076469,0.07871156,0.0869807,0.095037736,0.10226634,0.10826766,0.11263338,0.11561812,0.1181108,0.12107841,0.1244745,0.12738343,0.12889545,0.12914288,0.12907366,0.12975596,0.1316651,0.13450022,0.13755924,0.14007737,0.1417877,0.14292149,0.1439507,0.14511551,0.14605793,0.14636742,0.14575963,0.14460807,0.14324011,0.14196067,0.14060785,0.13901226,0.1370073,0.13471128,0.13238536,0.13016933,0.12778045,0.12460814,0.12021753,0.11487088,0.10926151,0.10415032,0.099850275,0.096564114,0.094252735,0.092837386,0.09215361,0.09228003,0.093555056,0.09615034,0.099939525,0.10407833,0.107579015,0.10941183,0.10951775,0.1082463,0.10620064,0.10329828,0.09977283,0.09602719,0.0929577,0.090371825,0.08757525,0.08342426,0.07788328,0.07151851,0.065580204,0.06115127,0.059050392,0.059379503,0.06152007,0.06467218,0.06804199,0.07117113,0.07339085,0.0745138,0.07484249,0.07532249,0.0765645,0.07832687,0.08008182,0.0815625,0.08346046,0.08624772,0.0897468,0.092492305,0.09302228,0.090724915,0.086678624,0.08268785,0.08037123,0.08008677,0.08140155,0.08331736,0.08514298,0.08653792,0.08799984,0.0900291,0.092767976,0.095192544,0.09646856,0.09607329,0.09490671,0.09374606,0.093694605,0.0948719,0.097790726,0.10286272,0.11130849,0.12274977,0.13474981,0.1424909,0.14303881,0.13695034,0.1286345,0.12207209,0.11919573,0.11902366,0.119959734,0.12046901,0.12037146,0.12013077,0.12074878,0.12213554,0.1235916,0.1240279,0.123839565,0.12392008,0.12529202,0.12727772,0.12878431,0.12866753,0.12726925,0.12553106,0.12465015,0.12495042,0.12622191,0.12788165,0.12968393,0.13155021,0.13389616,0.13699186,0.1409487,0.14446972,0.1459928,0.14422178,0.14030111,0.13607757,0.13314594,0.13127607,0.1301292,0.1301734,0.13181363,0.13433568,0.13529515,0.13361025,0.1299709,0.12708102,0.12641983,0.12817706,0.1313842,0.13527238,0.13880907,0.1406576,0.14021607,0.13896237,0.13989477,0.14546412,0.15526772,0.166305,0.17375927,0.17405124,0.16637762,0.1547381,0.14556491,0.14468782,0.15329047,0.16753154,0.18117309,0.18851112,0.18704706,0.1764648,0.15943341,0.13988566,0.12340292,0.11391511,0.11264244,0.11703006,0.12333721,0.12848067,0.13098699,0.13013487,0.12645273,0.12227065,0.12168654,0.12695849,0.1365677,0.14487864,0.14734803,0.14301954,0.13633595,0.13180216,0.13146661,0.13230957,0.13093568,0.12567689,0.11863872,0.11256125,0.109536745,0.10920856,0.110091306,0.11013067,0.10867361,0.10589453,0.10259312,0.099162854,0.09621707,0.09449331,0.094496645,0.09604167,0.098619975,0.10198105,0.10601664,0.11016458,0.11313459,0.113807194,0.11245826,0.11121032,0.112667345,0.11741383,0.12354973,0.1279912,0.13015552,0.13183261,0.13535105,0.13978842,0.14170463,0.13838625,0.13076073,0.12240246,0.115924306,0.111284025,0.10689959,0.10200075,0.09722621,0.09365717,0.091781676,0.09155659,0.092547774,0.09412218,0.09506784,0.09453503,0.09257754,0.09073941,0.09059862,0.09278837,0.09623294,0.09940615,0.101320736,0.10257503,0.10508064,0.11111539,0.12135741,0.13288482,0.14013149,0.13820721,0.12758069,0.11369705,0.10376137,0.10160995,0.10679836,0.115825295,0.12515146,0.13289589,0.13884877,0.14276065,0.14317344,0.13833506,0.12890339,0.11842263,0.11144471,0.11015888,0.113351665,0.117307395,0.11810955,0.114056915,0.10671892,0.09966966,0.09549064,0.093726195,0.091987364,0.08851549,0.083975434,0.08069695,0.08053977,0.0836551,0.08843482,0.09313687,0.096745245,0.099425144,0.10206985,0.105548896,0.11026143,0.11516935,0.11864954,0.11935387,0.117996305,0.116360754,0.1156894,0.11516515,0.11324996,0.109419495,0.1048032,0.100535005,0.09715729,0.0943503,0.092169024,0.090186976,0.088194616,0.086008735,0.08454704,0.08474752,0.08690856,0.09012899,0.093136154,0.09516881,0.09642457,0.09760046,0.09904786,0.100432225,0.10114541,0.10101453,0.10042595,0.10000322,0.10024166,0.10118104,0.10257143,0.104045905,0.10556439,0.10710624,0.10851771,0.10952986,0.110185176,0.11070358,0.110978685,0.11045199,0.10852423,0.105438344,0.10216121,0.100254655,0.100560166,0.103086166,0.10650996,0.109279215,0.10989175,0.10787133,0.10382461,0.0997232,0.09802974,0.10045645,0.10672318,0.114303984,0.11994976,0.12127604,0.11850301,0.113533616,0.10888529,0.105595745,0.1035285,0.10178026,0.10010483,0.098786436,0.09860522,0.09976072,0.101740144,0.10321791,0.10323483,0.101820044,0.09995789,0.098633654,0.09803155,0.09777078,0.097273014,0.09634218,0.09493565,0.09328798,0.091612376,0.090243496,0.08936227,0.08917168,0.089881934,0.09155587,0.09380647,0.09551525,0.09576458,0.094416656,0.09267951,0.09205165,0.09327795,0.095512114,0.09677869,0.095768034,0.09312401,0.09112361,0.09141248,0.093442075,0.095163584,0.094966084,0.09308371,0.0909996,0.09021503,0.09094146,0.09220236,0.09251946,0.091416664,0.08939663,0.08772248,0.08686193,0.08689097,0.08704808,0.08690855,0.085775554,0.08383718,0.08181336,0.0813839,0.08364451,0.08831731,0.09348927,0.09702613,0.09806228,0.09721929,0.09570659,0.094320916,0.0933777,0.09305435,0.09331737,0.09390972,0.09444991,0.094940156,0.09540948,0.095578276,0.09487381,0.09343991,0.09227898,0.09235736,0.09321382,0.09330518,0.091519214,0.08854445,0.08628124,0.08618578,0.088194676,0.09106263,0.093712844,0.095682226,0.097260036,0.0986285,0.099956624,0.100821875,0.100637525,0.09873081,0.095291816,0.09122479,0.08769286,0.08511447,0.08331684,0.08182025,0.08037415,0.07878929,0.07723451,0.07639312,0.07753988,0.08165375,0.08859847,0.096568294,0.10318977,0.1068424,0.10799361,0.10848415,0.110105544,0.11322209,0.11670072,0.118937336,0.11897239,0.117268406,0.11510121,0.11316895,0.110830545,0.107227266,0.10301385,0.10016387,0.09974512,0.10044119,0.099789076,0.09656066,0.09159091,0.08666423,0.0831986,0.08189985,0.082554646,0.084045194,0.084606856,0.083220445,0.08037311,0.077883326,0.07735002,0.07931768,0.08314314,0.08805996,0.09371994,0.100370824,0.10811785,0.11630877,0.12344706,0.1278044,0.12855186,0.12633933,0.122979395,0.12011265,0.11794963,0.11534252,0.110905856,0.10440696,0.096876025,0.08990046,0.08464256,0.0814968,0.0802863,0.08061229,0.08206648,0.08409145,0.08602575,0.087275386,0.08770993,0.087538384,0.087046765,0.0864759,0.086332165,0.0872947,0.08970386,0.092896156,0.09585437,0.097922236,0.09958408,0.10159504,0.10419013,0.1064106,0.10674284,0.10455868,0.10092864,0.09825921,0.09825695,0.10088735,0.10440943,0.1070126,0.10762928,0.10631049,0.10358622,0.1003651,0.09744369,0.09546568,0.09435917,0.093883954,0.09392593,0.09507385,0.09746444,0.100452036,0.102440685,0.10256016,0.10081592,0.098172896,0.095641814,0.094163805,0.09421557,0.0952909,0.09640732,0.09676852,0.09669637,0.09670978,0.09684521,0.09639036,0.09484756,0.09248377,0.090123884,0.0885609,0.08824814,0.08926172,0.091288276,0.0934984,0.0950785,0.0958033,0.09640642,0.097703,0.099609636,0.10122272,0.101701505,0.10139968,0.10104535,0.10129451,0.101745576,0.101822995,0.100841075,0.09869385,0.095881976,0.09332889,0.0920733,0.09222341,0.09339568,0.09460231,0.09531655,0.09502364,0.093670554,0.09144815,0.08904803,0.08705919,0.085701145,0.0848006,0.084256925,0.08402542,0.08418536,0.084842496,0.086339206,0.08876114,0.09169375,0.09444978,0.09686092,0.09966112,0.10365486,0.10903871,0.114825524,0.11952966,0.12148655,0.11999411,0.115643166,0.11050493,0.10639721,0.103806175,0.10139177,0.09787967,0.09308048,0.08838605,0.08523297,0.08440384,0.08545655,0.087493934,0.089459956,0.09079494,0.091436505,0.09192556,0.09261403,0.09328708,0.09306798,0.091769315,0.090140335,0.08965057,0.09071234,0.092891276,0.09505007,0.096619986,0.09704822,0.09642371,0.0951763,0.09464476,0.095481224,0.097334065,0.09861981,0.09851083,0.09748515,0.09692397,0.09753701,0.098694585,0.09925275,0.09843264,0.09666035,0.09486052,0.09400582,0.09411347,0.09459149,0.09449994,0.09342832,0.09145842,0.08910429,0.086876415,0.08514217,0.08404401,0.08355478,0.083684385,0.08463357,0.08688998,0.09082204,0.09614182,0.10149614,0.10519791,0.106288314,0.10536548,0.10373173,0.10235283,0.10127136,0.10027126,0.0994294,0.09881734,0.09828553,0.09735131,0.09618599,0.09531212,0.09524677,0.095454015,0.094939165,0.09326925,0.091195434,0.09002241,0.09028995,0.091565855,0.092915244,0.09368948,0.093708985,0.09309214,0.09221623,0.09137117,0.09072461,0.090240665,0.09000513,0.09036953,0.0915013,0.0933251,0.09517006,0.09686103,0.09861202,0.101492934,0.105796956,0.110632755,0.11375216,0.11355776,0.11027489,0.105704784,0.10156122,0.09874517,0.09761053,0.09857503,0.10131937,0.1046847,0.10664984,0.10598398,0.10256025,0.09786052,0.09370308,0.091626965,0.09165581,0.09282204,0.093617044,0.09331214,0.09182182,0.089782946,0.087776594,0.08640639,0.08572171,0.08541872,0.08501982,0.084749214,0.08559453,0.08845773,0.09308764,0.097878456,0.101285316,0.10283661,0.10350678,0.10440776,0.10621321,0.108470134,0.11033634,0.11080229,0.10989961,0.10816449,0.10639575,0.10424611,0.10114765,0.0966317,0.091451995,0.08656967,0.08302293,0.08114686,0.0810298,0.08228002,0.084286,0.08626202,0.08778432,0.08923355,0.09156171,0.095336646,0.09989834,0.10358111,0.10512795,0.104614735,0.10342767,0.10297111,0.10377177,0.10527128,0.10639339,0.10620455,0.10441381,0.10159772,0.09904507,0.097876035,0.098324746,0.09944606,0.10018002,0.10005572,0.09948465,0.09877881,0.09777492,0.0960355,0.09373078,0.09188276,0.091473736,0.092578866,0.09402919,0.09446878,0.09309093,0.090071656,0.08633029,0.0831889,0.081724495,0.082072936,0.0834847,0.08520439,0.08724975,0.09007659,0.093645275,0.09697225,0.098847754,0.09872138,0.097070485,0.09493765,0.09334888,0.092741765,0.09282533,0.09266608,0.09164735,0.08992183,0.08856481,0.08840983,0.08961233,0.091522634,0.09357592,0.09553802,0.09759774,0.09991297,0.10241873,0.104726106,0.106331944,0.10707318,0.1071211,0.10672485,0.10565796,0.10337757,0.0995661,0.094597794,0.089639306,0.08603141,0.08468277,0.085480414,0.087545514,0.089718185,0.09113166,0.09134525,0.090577476,0.08961033,0.08944863,0.0904619,0.09206703,0.09307772,0.092713684,0.09113709,0.08948854,0.08903685,0.090605706,0.09404597,0.09859019,0.103112675,0.10653156,0.10804557,0.10740182,0.10525451,0.102808096,0.101501785,0.102083564,0.10463446,0.108141564,0.11126169,0.112469085,0.11113486,0.10742315,0.10251587,0.097809024,0.094463766,0.09281052,0.092520505,0.093005575,0.09377897,0.09472457,0.09638088,0.099598914,0.10438546,0.10868279,0.10973224,0.106478326,0.10126445,0.09728853,0.09592396,0.09571549,0.09515059,0.09422559,0.09382284,0.093794614,0.0930359,0.09148245,0.090625204,0.09219269,0.09579415,0.09930693,0.10050279,0.098899394,0.0956645,0.09249369,0.09069597,0.090365626,0.090870656,0.091095366,0.09080077,0.090491764,0.09110465,0.092795365,0.09479255,0.09589911,0.09535146,0.0934451,0.09141952,0.09074349,0.09203734,0.09453816,0.096739404,0.09746307,0.09662569,0.09484456,0.09273774,0.09064879,0.08883235,0.087883554,0.08823329,0.089815594,0.091735326,0.093145885,0.09394222,0.094943196,0.09717976,0.1010092,0.10599425,0.111018,0.114871375,0.11645764,0.115333825,0.11185452,0.10706768,0.10218134,0.09793069,0.09450685,0.09166247,0.08922019,0.087261565,0.086071365,0.08609024,0.08749033,0.09028876,0.09377465,0.09674937,0.09759372,0.09535292,0.09051166,0.08509951,0.081706695,0.08180692,0.08490927,0.08891833,0.09170882,0.092565864,0.092294924,0.09262669,0.09505244,0.10071332,0.10945665,0.11958829,0.12776487,0.13122225,0.12959836,0.12481251,0.118930966,0.11244733,0.10536778,0.09841636,0.09339013,0.09154513,0.09275123,0.0954518,0.09746877,0.096988074,0.093517415,0.08822953,0.083265804,0.08049194,0.08077305,0.08383173,0.08846281,0.0928537,0.095181495,0.094546914,0.09135642,0.08728088,0.08424983,0.08369959,0.08588273,0.09001499,0.094929524,0.09962687,0.10394416,0.10777167,0.11103314,0.11271801,0.11221182,0.10932241,0.10526762,0.10124963,0.098215126,0.096091054,0.094617136,0.09351016,0.0928339,0.09280669,0.0936763,0.09531242,0.0969524,0.09752104,0.09649395,0.094302736,0.0918523,0.08970655,0.088037856,0.08700297,0.08681742,0.087310456,0.08785341,0.087833665,0.08714754,0.086117804,0.08512237,0.08455601,0.0848079,0.08632749,0.0890921,0.092697375,0.09622508,0.0989252,0.10017406,0.09997967,0.09877157,0.097403355,0.096556164,0.09636035,0.09665081,0.09740969,0.09963415,0.104495935,0.11245219,0.12118586,0.12677099,0.12565847,0.11865493,0.110151745,0.10548518,0.105978705,0.1089591,0.110150844,0.10777211,0.10309995,0.09877995,0.096522324,0.09652106,0.0981291,0.100570075,0.10283482,0.104158916,0.104164094,0.10367238,0.10363809,0.104721315,0.106517375,0.10833954,0.10973569,0.11049139,0.11039225,0.10881528,0.10575765,0.101926535,0.099028766,0.09805689,0.098976694,0.100464344,0.10144367,0.10165348,0.101467334,0.10109077,0.09993874,0.09758699,0.09414921,0.090823896,0.08881798,0.08902356,0.09151011,0.0959185,0.10150959,0.10757955,0.1134473,0.118599355,0.122267745,0.123858966,0.12303943,0.120356284,0.11647909,0.11222318,0.108090706,0.10464299,0.10188538,0.099164195,0.09551495,0.09057952,0.08517014,0.080702655,0.07841429,0.078555785,0.080403455,0.08282098,0.08500927,0.086792916,0.088125385,0.08852005,0.08717719,0.0835497,0.078122646,0.07236308,0.06817898,0.066824965,0.06815613,0.07116714,0.074834384,0.079256885,0.08483478,0.09205883,0.100194,0.108185984,0.11436385,0.11808313,0.11917997,0.118246496,0.11548536,0.1111047,0.105810486,0.10086305,0.09764833,0.09640623,0.09649646,0.09645101,0.09527972,0.09247903,0.08860308,0.08438289,0.080891155,0.07876123,0.078764744,0.08115924,0.08599878,0.092427544,0.098995246,0.10381907,0.105625756,0.10443193,0.10154781,0.09851197,0.096223235,0.09455458,0.09314653,0.09176306,0.09087226,0.091230206,0.09348178,0.09741396,0.101744525,0.10501953,0.10642812,0.10672576,0.107181735,0.10883397,0.111181796,0.11292646,0.11279074,0.11080334,0.10807394,0.10590368,0.104773454,0.104128145,0.10292312,0.100392275,0.09649547,0.09201113,0.088016145,0.08550631,0.08495606,0.08628768,0.088974744,0.09221783,0.09561948,0.09899367,0.10249873,0.10544914,0.106814146,0.10521541,0.10063949,0.09440442,0.0890677,0.08644983,0.08678219,0.08862237,0.09048245,0.09173619,0.09279207,0.09403067,0.095472135,0.096684165,0.09776176,0.09941867,0.10281313,0.10808173,0.11389893,0.11806708,0.119138844,0.11744088,0.11429179,0.11122817,0.10879474,0.10726162,0.10642671,0.106484376,0.107338674,0.10875546,0.10975039,0.1090846,0.10591236,0.100493394,0.09441006,0.08943812,0.086913645,0.08676076,0.08831275,0.090355106,0.09205121,0.09282157,0.09287119,0.09273479,0.09286976,0.09306192,0.09298495,0.09264362,0.092704386,0.093686484,0.095781125,0.09879893,0.10238802,0.10607084,0.10907542,0.110912226,0.11138328,0.11085769,0.10965395,0.10788349,0.105373405,0.10204768,0.09826797,0.09459439,0.09147325,0.08914834,0.08795333,0.08842665,0.09041417,0.09285515,0.09399608,0.09339216,0.09212289,0.09222817,0.0942165,0.09685712,0.098125346,0.09747534,0.09597514,0.095217615,0.095696546,0.09682783,0.09783551,0.098706685,0.099889345,0.101509236,0.1029635,0.103482336,0.10312388,0.102520734,0.102374084,0.102339886,0.101890855,0.10048308,0.09844083,0.09616959,0.094114624,0.09215164,0.08976981,0.08653473,0.0829074,0.08062313,0.08172511,0.086975,0.09465405,0.101349585,0.10404089,0.10224369,0.097920485,0.09393352,0.09184274,0.09157536,0.09188493,0.091869414,0.091365844,0.091146104,0.09194011,0.09402013,0.0971315,0.1009329,0.105259486,0.10945082,0.11256084,0.11336881,0.11180613,0.10856137,0.10504129,0.10192594,0.09944715,0.09744372,0.09620807,0.096143104,0.097313434,0.098956615,0.09977504,0.098864496,0.096367486,0.09350575,0.091525145,0.091050535,0.09178918,0.09327083,0.09481151,0.095891416,0.09606901,0.09576285,0.09585769,0.09702786,0.098860204,0.10026887,0.10059783,0.10018969,0.10001927,0.10072613,0.10221764,0.10378081,0.104749285,0.104798555,0.10422426,0.10342979,0.102951996,0.102904774,0.10323761,0.10335959,0.10278138,0.10132915,0.09943359,0.09764987,0.09596055,0.094083935,0.09145067,0.08829387,0.085044466,0.082860634,0.0824961,0.08436319,0.08802372,0.09279605,0.09794819,0.10271659,0.106130056,0.10748293,0.10664791,0.10442924,0.10170207,0.099329285,0.09760887,0.09669145,0.096279465,0.096160926,0.09654095,0.09860376,0.103730194,0.11203603,0.1209869,0.12632167,0.12500362,0.11792719,0.10967628,0.10482695,0.10471743,0.106833875,0.10772107,0.10578689,0.10189841,0.098077856,0.095184244,0.09313289,0.0910962,0.08930086,0.08807629,0.087766595,0.08771577,0.08720838,0.08589653,0.084326245,0.08367028,0.08513557,0.089229085,0.09521511,0.10139823,0.1060284,0.108116455,0.10778511,0.1058745,0.103526235,0.10157802,0.10051328,0.100580804,0.101959586,0.104370594,0.10672617,0.1073814,0.105300955,0.10067888,0.09489413,0.08928775,0.08468554,0.08119788,0.07883943,0.07782206,0.07863761,0.081781566,0.087053515,0.09331565,0.09879261,0.10227323,0.10367455,0.10378147,0.10333979,0.102763325,0.10238751,0.10264722,0.10374174,0.10513091,0.10576052,0.10484898,0.102627315,0.09991754,0.09706978,0.0935264,0.08873994,0.08354693,0.08005741,0.080193326,0.08400055,0.0896773,0.094758004,0.09772403,0.09843465,0.09791557,0.097328,0.09750244,0.098574966,0.100290984,0.1023271,0.10458228,0.10732148,0.110532254,0.1135863,0.11494175,0.11340261,0.108925976,0.10326802,0.098536305,0.096064754,0.095459424,0.095698185,0.09613225,0.096939296,0.09835896,0.09993046,0.100824594,0.10039422,0.09870603,0.09624276,0.09365355,0.09159395,0.09046803,0.09049922,0.09146645,0.0930562,0.09458811,0.09540331,0.09492602,0.09339556,0.09176129,0.091116615,0.09162706,0.09242225,0.09263805,0.09241745,0.09272802,0.094061024,0.09577804,0.0967178,0.096255116,0.0946978,0.09259423,0.090426154,0.08854371,0.08784294,0.08923844,0.09299622,0.09787667,0.10196354,0.10379377,0.10327053,0.10107741,0.09800992,0.0945834,0.09143225,0.08935391,0.08878487,0.08938193,0.08996686,0.08971723,0.08856218,0.08746094,0.08711531,0.0875859,0.08817815,0.08845327,0.08866138,0.08945332,0.09133416,0.09419218,0.0977939,0.101524405,0.10475039,0.106467575,0.1064576,0.105166964,0.10362604,0.10211205,0.10036882,0.09823671,0.09627983,0.09509478,0.09434265,0.09308246,0.09071446,0.08795887,0.08596604,0.08549291,0.08601903,0.08668077,0.08695128,0.087505065,0.0895265,0.093900025,0.10007754,0.10608069,0.10946405,0.10902747,0.10586003,0.102710485,0.10193709,0.103949435,0.10742679,0.11092585,0.11373139,0.11504323,0.11379999,0.10940868,0.10371631,0.09911137,0.0967677,0.09510448,0.09300927,0.091127224,0.09116245,0.0931332,0.0951181,0.09548921,0.09423289,0.092674844,0.09159867,0.09092376,0.09016871,0.089341454,0.088925146,0.08942517,0.090881355,0.09291393,0.09474524,0.09599949,0.09671459,0.09771945,0.099296354,0.1010674,0.10174159,0.10072512,0.09833134,0.09588749,0.09441572,0.09438658,0.09538475,0.096730225,0.09776857,0.09834609,0.09866658,0.09898645,0.09925223,0.09929482,0.09898633,0.098514356,0.097896636,0.09699147,0.095360674,0.09287929,0.08975411,0.08648806,0.083538,0.08132305,0.08025511,0.080699556,0.08259284,0.08539567,0.08810628,0.089968264,0.09066388,0.09054812,0.090118706,0.08986041,0.08989977,0.0899955,0.089533746,0.08814758,0.08634007,0.08541534,0.086531125,0.089696236,0.09396998,0.09812998,0.10140431,0.1033904,0.1039686,0.103189915,0.10114614,0.098109156,0.094648935,0.09195294,0.09114107,0.09255776,0.09534061,0.09826499,0.10056608,0.10208449,0.102714755,0.102028884,0.09976056,0.09623308,0.092589974,0.09003174,0.089228354,0.08985252,0.090936564,0.09152656,0.091291405,0.09069141,0.090393014,0.09067378,0.091252565,0.091881864,0.09287714,0.09493357,0.098433696,0.10289971,0.1071192,0.10978711,0.11005225,0.10789314,0.10379058,0.09858113,0.0930086,0.08790731,0.08387533,0.08140668,0.08062228,0.08170909,0.08474845,0.089670055,0.09552134,0.10077111,0.103797294,0.10416248,0.10239261,0.09974014,0.09714236,0.09558787,0.09582626,0.09816224,0.10172249,0.10463854,0.105262704,0.10294369,0.09843121,0.0929417,0.08796891,0.08467176,0.083772115,0.08490383,0.08684953,0.08832941,0.0890244,0.08970234,0.09118795,0.09349966,0.09575794,0.09731591,0.098348774,0.09951911,0.10104311,0.102386385,0.10304264,0.102977805,0.10257119,0.102004014,0.101193585,0.1001136,0.098749585,0.09711099,0.09509107,0.09298382,0.09133348,0.09059507,0.090590626,0.09077031,0.09078898,0.090752065,0.09121543,0.09275505,0.09597453,0.10071068,0.10596305,0.10973888,0.11051217,0.10806378,0.104011685,0.10036784,0.09823662,0.09704443,0.095877744,0.09452794,0.09387051,0.094374426,0.09567844,0.09671184,0.09700645,0.09669957,0.09629005,0.09590382,0.09536666,0.09455673,0.09372771,0.09342223,0.09371409,0.09402261,0.09330452,0.09122262,0.088251464,0.08549895,0.083636254,0.082918145,0.083266795,0.084687024,0.087081015,0.089990474,0.09272163,0.0944837,0.094837226,0.09356383,0.09096644,0.08786902,0.08563753,0.085421465,0.08723562,0.08991361,0.091872305,0.09262202,0.092771135,0.09361436,0.09577757,0.09925573,0.103513755,0.107963085,0.11182786,0.114054225,0.11390817,0.11143377,0.10785734,0.104593836,0.10254795,0.101406336,0.100187875,0.09806145,0.095082216,0.092380635,0.09103548,0.09143422,0.09257215,0.093412906,0.093423404,0.09331497,0.0939458,0.09593188,0.0990713,0.1028214,0.106422566,0.1092755,0.1109311,0.111348,0.110818766,0.10986004,0.108701356,0.10723845,0.10513636,0.10232214,0.09907669,0.09626606,0.09514088,0.09670963,0.10064041,0.10501915,0.107673876,0.107874684,0.106642,0.10535882,0.104459725,0.10367293,0.102967255,0.10304911,0.10460534,0.107619315,0.11103099,0.11329607,0.11298955,0.109670006,0.10402187,0.09759662,0.0919753,0.08832505,0.087252796,0.08863461,0.09157585,0.09468404,0.096982144,0.098371394,0.09913393,0.099309504,0.09856602,0.09705911,0.09543875,0.09452934,0.09461544,0.09561995,0.09710186,0.09832717,0.09837099,0.09700951,0.09502732,0.093655676,0.093242764,0.093249686,0.09324787,0.09379993,0.09582112,0.099259414,0.10286656,0.10513329,0.105644636,0.105026096,0.10433584,0.104041345,0.10428705,0.10484197,0.10562939,0.105943866,0.10509366,0.10239702,0.09857255,0.09499338,0.09324273,0.09357833,0.095234364,0.09704586,0.09870148,0.10094548,0.104941376,0.110826045,0.1172466,0.12207689,0.1243639,0.12442371,0.122955084,0.11969802,0.11442234,0.1078055,0.10151664,0.09693068,0.09471888,0.09501258,0.09739006,0.10067355,0.10329806,0.10460687,0.10512457,0.105905384,0.10713169,0.10836011,0.109019905,0.10925434,0.10924232,0.109254144,0.10973531,0.11204506,0.11755326,0.1260888,0.13511866,0.14132105,0.14342017,0.14290643,0.14236474,0.14272855,0.14331196,0.14323805,0.1430905,0.14466375,0.14914387,0.15650438,0.1641566,0.17011641,0.1719808,0.17033719,0.16527008,0.15957223,0.15502001,0.1544158,0.1591404,0.1721108,0.19675459,0.23465252,0.28192484,0.32982108,0.3695961,0.39668855,0.41027686,0.4111692,0.40030357,0.38067707,0.35782072,0.33776844,0.32383013,0.31344053,0.30143753,0.28273454,0.25873035,0.23513092,0.2198189,0.21516414,0.21667701,0.21525145,0.20439942,0.18556297,0.16654432,0.15558048,0.15530847,0.16173218,0.16786999,0.16736674,0.15931755,0.14806785,0.14225131,0.14835,0.16801934,0.19682346,0.22740819,0.25224972,0.2670071,0.27312165,0.2775466,0.28896657,0.31182694,0.34404194,0.37913838,0.41126528,0.43705773,0.4541948,0.45886958,0.44683456,0.41595748,0.3688583,0.3120993,0.25496343,0.20612492,0.1712292,0.15071724,0.14059013,0.13529134,0.13041344,0.125004,0.120400615,0.11882267,0.12051344,0.123662926,0.12544048,0.124225855,0.12083942,0.11761167,0.11648402,0.117295,0.11836537,0.11826927,0.11678267,0.11478684,0.11310776,0.1124725,0.11345717,0.11656799,0.12199161,0.12847888,0.13370131,0.1343478,0.12906843,0.11889553,0.107665785,0.098898165,0.09449765,0.09372273,0.09463536,0.09558592,0.09654189,0.09865162,0.10225404,0.105422765,0.10507967,0.10017518,0.09334729,0.08917332,0.09082473,0.09836372,0.10964171,0.121679485,0.13171448,0.13765687,0.13918163,0.1378587,0.13645248,0.13659234,0.13775694,0.1374356,0.13399643,0.12818235,0.1231735,0.12119624,0.121809565,0.12175671,0.11854916,0.11224107,0.10620099,0.10399166,0.10732782,0.11443139,0.12174424,0.12595145,0.1258499,0.122494675,0.118178785,0.115067415,0.11387631,0.1136108,0.11225293,0.10828721,0.10168883,0.09411251,0.087989725,0.08539092,0.08697266,0.091694176,0.09742392,0.102011956,0.10457128,0.10580998,0.10746319,0.11032652,0.11341833,0.114500225,0.11257837,0.10874835,0.10545754,0.104266785,0.10499052,0.10640359,0.10729343,0.10738536,0.10685337,0.10651237,0.10682125,0.108049005,0.10949796,0.11064998,0.11130782,0.11218516,0.11363054,0.11543531,0.11652273,0.1162469,0.11428889,0.11113199,0.10693287,0.10226336,0.09771365,0.094686866,0.09404894,0.095698826,0.09800398,0.099048205,0.0977388,0.0942897,0.08977664,0.0857808,0.08404825,0.0862652,0.09200952,0.09890494,0.10289904,0.102530025,0.09889379,0.095397174,0.09361855,0.09323093,0.09260256,0.09121967,0.08999547,0.09066201,0.09456397,0.10173886,0.11038355,0.117405504,0.120067835,0.118120044,0.114164494,0.112092964,0.11410302,0.11921794,0.12385458,0.1245571,0.12032502,0.11288544,0.10530042,0.099680655,0.09707267,0.09694477,0.09829795,0.09917027,0.09845677,0.09638933,0.09526557,0.09739364,0.103414245,0.11115718,0.11723999,0.11918205,0.11738937,0.11431187,0.11254743,0.112719476,0.11366001,0.11401854,0.11360081,0.11345971,0.11443993,0.116514675,0.11868983,0.11995282,0.11989268,0.11874687,0.1173066,0.11594776,0.1145399,0.11215127,0.108301856,0.10330162,0.0983837,0.09456181,0.09199536,0.089914024,0.08745354,0.08467582,0.08285394,0.08396003,0.08888185,0.09667828,0.10416726,0.10825161,0.107126124,0.101989,0.095210195,0.089238785,0.0851998,0.08391547,0.086349905,0.09238475,0.10001967,0.1057378,0.107982405,0.10759934,0.10652256,0.104839824,0.10136681,0.09591895,0.09048583,0.088053375,0.08995352,0.09537187,0.101801865,0.10690195,0.10888776,0.107614696,0.10439787,0.1017457,0.10119479,0.101849765,0.10114554,0.09690005,0.089843966,0.08231556,0.07709217,0.074661314,0.074552275,0.07587283,0.07948547,0.08549095,0.09262079,0.09661048,0.094991036,0.087952934,0.079677425,0.07366032,0.0719736,0.07407271,0.0784461,0.08290706,0.08597082,0.08730432,0.08772417,0.08759481,0.08668429,0.08431531,0.0808574,0.077546515,0.07615403,0.077772744,0.08213028,0.08767534,0.092473745,0.09561507,0.09757492,0.09983307,0.103642106,0.1093328,0.116002105,0.12232188,0.12728281,0.13064705,0.13236238,0.1322519,0.13046144,0.1280782,0.12671709,0.12718137,0.12858917,0.12943824,0.12871097,0.12667431,0.123374455,0.11854125,0.11191034,0.10477648,0.09934854,0.09689263,0.09659537,0.09627104,0.09460899,0.09163612,0.0882084,0.08461965,0.080838434,0.076867454,0.07323882,0.070610486,0.06973987,0.071364515,0.07583658,0.08244019,0.08933839,0.09472698,0.09789833,0.09938145,0.09994499,0.100278355,0.10106043,0.10327661,0.10741208,0.1131156,0.11940112,0.12572365,0.13209344,0.13829637,0.14305708,0.14438522,0.14134161,0.13514331,0.12893409,0.1253907,0.1252941,0.12724315,0.12953085,0.13095208,0.13121271,0.13013507,0.12791814,0.12492754,0.12179431,0.11871958,0.11579258,0.113067895,0.11118829,0.11074232,0.11201162,0.11425355,0.11617864,0.11653835,0.115050435,0.11236707,0.10936978,0.10629922,0.10293094,0.09913161,0.095470466,0.092505395,0.090590574,0.08951467,0.08942819,0.09033256,0.09207662,0.093402445,0.0929526,0.08978061,0.08454699,0.07889461,0.07488,0.07338351,0.07401704,0.07506413,0.075271875,0.07411834,0.07238565,0.07092906,0.070655614,0.07197525,0.07458648,0.07716975,0.07776471,0.07515985,0.06951101,0.06234758,0.05555646,0.05104858,0.050254066,0.053789463,0.060853455,0.06951369,0.0775733,0.08345655,0.086751215,0.08781055,0.08744455,0.085942,0.08324059,0.079376765,0.07535987,0.07298996,0.07364234,0.077509664,0.083523504,0.09028065,0.09691036,0.103142865,0.10957859,0.116358615,0.123437405,0.12939258,0.1332313,0.13413577,0.1327911,0.12999229,0.12624383,0.12125813,0.11422489,0.10531213,0.095371954,0.086499274,0.080340825,0.078723945,0.08287606,0.09342765,0.108564906,0.12419611,0.13561274,0.14024752,0.13866228,0.13277172,0.12463111,0.11518389,0.10578277,0.09770002,0.09265831,0.0913876,0.09348646,0.097281635,0.100612156,0.10221516,0.10179558,0.1001811,0.098041,0.096226424,0.09536386,0.09628295,0.09937466,0.1047248,0.11185097,0.11988326,0.1272447,0.13246098,0.13475786,0.13479365,0.13375266,0.1326331,0.1319024,0.13179086,0.13248692,0.1337952,0.13537832,0.13681227,0.13780695,0.13788511,0.13658865,0.13403605,0.13112988,0.12921445,0.12893786,0.13013344,0.13187277,0.13361643,0.13508773,0.13674474,0.13859393,0.14070664,0.14203347,0.14187457,0.13950627,0.13582174,0.13202672,0.12923656,0.12722601,0.12537158,0.12356695,0.12267894,0.12346238,0.12577997,0.12846416,0.13050312,0.13132335,0.13103192,0.12968291,0.12751606,0.12483228,0.12212381,0.11952362,0.11664324,0.11297221,0.108615465,0.10453126,0.10173574,0.10040414,0.099603646,0.09796724,0.0946297,0.089699514,0.0839209,0.078096986,0.07240507,0.0670595,0.062128842,0.058389995,0.05614896,0.0562772,0.05918445,0.065704465,0.075193286,0.08608238,0.09537202,0.10052737,0.10022683,0.095308416,0.08856812,0.08329278,0.08192978,0.08451923,0.089479126,0.09442482,0.09780904,0.09926102,0.09936925,0.09906379,0.09877869,0.09884638,0.09943125,0.10091096,0.103087105,0.10490128,0.104992904,0.102396555,0.09764726,0.09196216,0.086922795,0.0834043,0.081715494,0.08157577,0.082228355,0.08299842,0.08335861,0.08349834,0.083511434,0.08382303,0.08460382,0.08667507,0.09035412,0.09585163,0.102006435,0.10756739,0.11096186,0.11197325,0.11122665,0.11027312,0.10986843,0.10987443,0.109044515,0.106870346,0.10327571,0.09948004,0.0961361,0.09418752,0.09346571,0.09353445,0.09329692,0.0922176,0.091023564,0.090984486,0.09309553,0.096474625,0.09954011,0.10069477,0.09977248,0.097487934,0.09478506,0.092226885,0.08982291,0.08752101,0.085286915,0.08334655,0.08206015,0.081764854,0.082659915,0.084514715,0.086927354,0.08947364,0.092061274,0.094735585,0.0973866,0.09988186,0.10201395,0.1040721,0.10606235,0.108114086,0.10980102,0.11112838,0.112064086,0.11294595,0.11363096,0.11388118,0.11325434,0.11190846,0.11016217,0.10853068,0.10718606,0.10612288,0.104911186,0.10268303,0.0988644,0.093984306,0.08991989,0.08830442,0.089371234,0.091613926,0.093599975,0.09450233,0.09480374,0.09467465,0.09446309,0.093888395,0.09321841,0.09256067,0.09217319,0.09207544,0.09216622,0.09239491,0.09252944,0.09268901,0.09309092,0.094212204,0.09581513,0.09745744,0.09852136,0.09937984,0.10019825,0.10116894,0.10167095,0.10167707,0.10123244,0.100632556,0.09966907,0.098295115,0.09680396,0.096593,0.09942093,0.10731459,0.119578205,0.132849,0.14083342,0.13989453,0.13032845,0.117141284,0.105109215,0.097201474,0.09350517,0.09299036,0.09404131,0.09548085,0.096775115,0.098184966,0.09976497,0.10102626,0.1009802,0.09923986,0.096311994,0.0936479,0.092778675,0.09468793,0.09902664,0.10424403,0.10842445,0.110444576,0.110443175,0.109154575,0.10740716,0.10577739,0.10493249,0.105296455,0.10654011,0.10762545,0.10700659,0.10415328,0.09938881,0.09451323,0.090925485,0.08932281,0.08865591,0.08783305,0.08638039,0.085049964,0.0842048,0.083547294,0.08236303,0.080930255,0.0800091,0.08021974,0.0811598,0.082543015,0.08438375,0.08731002,0.09113432,0.0952039,0.098485015,0.10076198,0.102130346,0.10267601,0.10206384,0.10021313,0.09786006,0.096272044,0.09619924,0.09714764,0.09768198,0.09674091,0.09432208,0.09165171,0.090070635,0.09048458,0.09250014,0.09490818,0.095998056,0.095114075,0.092880376,0.0911011,0.0911361,0.09300364,0.09549394,0.0971446,0.09744423,0.09677807,0.096064635,0.09608876,0.09726593,0.09966403,0.1026788,0.10518818,0.10576143,0.10364619,0.09926995,0.09418977,0.09018973,0.08839399,0.08887383,0.09078151,0.09286294,0.094004184,0.09382679,0.09269542,0.09151537,0.091115676,0.09207564,0.09429205,0.09717219,0.099814594,0.10174653,0.10279992,0.10299163,0.1020873,0.100248955,0.09789389,0.095845304,0.09424114,0.092984386,0.0915625,0.0900457,0.088599026,0.08782073,0.0880641,0.08979285,0.09283444,0.09655157,0.09922588,0.09931603,0.0962105,0.09130558,0.0868208,0.08425734,0.0836898,0.08423156,0.08554703,0.08758971,0.090768255,0.09479516,0.09925137,0.10293544,0.10504996,0.104928434,0.103473105,0.101917066,0.10185921,0.10313443,0.104548074,0.10433924,0.102179356,0.099179,0.096628994,0.09501491,0.0936943,0.092471264,0.091564186,0.09151966,0.092257686,0.09311402,0.093739055,0.09406797,0.094794,0.09579141,0.09648627,0.09556041,0.09297506,0.08993309,0.08839456,0.08909854,0.09132827,0.09388765,0.09606296,0.097892255,0.09932244,0.10060226,0.101786345,0.103141956,0.10416176,0.104599655,0.104142845,0.1031884,0.10157377,0.09943545,0.09698971,0.09536177,0.095374115,0.09712261,0.09977025,0.102230035,0.103914075,0.10456433,0.104245186,0.10284987,0.10054705,0.09784938,0.09562572,0.09429326,0.09351187,0.092612244,0.09158242,0.09110647,0.09176562,0.093379475,0.09529587,0.09715199,0.09886566,0.1004352,0.10148794,0.10169811,0.10086998,0.099477224,0.09861391,0.09925225,0.10131279,0.10301921,0.10297487,0.10123288,0.09991604,0.10044501,0.10260082,0.10442682,0.104343735,0.101832055,0.097620524,0.09284764,0.08883003,0.086369604,0.08567325,0.08625483,0.08750547,0.08899641,0.0902436,0.090728335,0.08993068,0.088179655,0.08668563,0.08689156,0.08948114,0.09345183,0.09718085,0.09896147,0.09850168,0.09596454,0.092454374,0.08914408,0.087836504,0.08922371,0.09257411,0.09554992,0.09652472,0.0955757,0.094379544,0.094307445,0.09542403,0.09683317,0.0978001,0.09841236,0.099047564,0.09997719,0.10123066,0.10303012,0.10545691,0.1079818,0.109365486,0.10856717,0.105650246,0.1016942,0.09796727,0.095075764,0.093218505,0.092305966,0.09248946,0.0936254,0.09571219,0.09837785,0.101210676,0.10324594,0.103610486,0.10199776,0.0991095,0.09618464,0.09402328,0.092734106,0.0918912,0.09127546,0.09095776,0.0913038,0.092608966,0.09476834,0.0972338,0.09936679,0.101126075,0.10322716,0.10677127,0.11224995,0.1189251,0.12444351,0.12642528,0.1235947,0.117468454,0.110462934,0.1049586,0.10133082,0.09918832,0.09763982,0.096184455,0.09465932,0.093210496,0.09247136,0.092619725,0.093624674,0.09454549,0.09482222,0.09398132,0.09278678,0.092300415,0.09379953,0.09719064,0.10126984,0.104124434,0.1047632,0.10335224,0.10102811,0.098773,0.097279966,0.09675852,0.09747095,0.099245496,0.10171521,0.10389105,0.10501557,0.104465835,0.1022974,0.098837815,0.09472857,0.0907299,0.087604396,0.086219914,0.08699482,0.089773856,0.09329442,0.09611347,0.097070105,0.096189894,0.09399133,0.09142426,0.08902628,0.087278314,0.08624395,0.08613041,0.08707655,0.08901375,0.09136569,0.09335851,0.09474728,0.09567943,0.09603251,0.095071286,0.09229889,0.08845367,0.08533332,0.08437913,0.08567231,0.087992854,0.09015101,0.09166347,0.09278673,0.09388817,0.095222555,0.09689472,0.098670244,0.099809594,0.09949792,0.0973948,0.094150804,0.09107638,0.08996552,0.09231487,0.09802545,0.104841836,0.109130494,0.10908863,0.10567544,0.10198746,0.100120336,0.10045602,0.10212619,0.104349576,0.106685966,0.10881013,0.11034906,0.11095616,0.11029926,0.10843304,0.10580403,0.10333543,0.10171003,0.10093882,0.10027877,0.098794006,0.096109875,0.0927429,0.08981335,0.08835558,0.08843973,0.08925637,0.08948504,0.08866235,0.08724668,0.086494975,0.087067924,0.08886114,0.09105974,0.09290984,0.09389997,0.09386247,0.09306663,0.09224117,0.092191376,0.09319437,0.094884425,0.09667343,0.09839562,0.09993119,0.10098014,0.10076373,0.09901514,0.09613957,0.0930605,0.09031093,0.08799577,0.08613076,0.084922545,0.08445547,0.084534556,0.084970206,0.08605757,0.088424236,0.0924302,0.09766558,0.102905266,0.10663816,0.10768505,0.10593334,0.10218876,0.09780839,0.09392802,0.09143621,0.09070159,0.09143353,0.0926866,0.09341684,0.093506396,0.09368508,0.09530759,0.09893227,0.10408368,0.10901135,0.11213992,0.11322639,0.113422394,0.11393637,0.11425381,0.11293448,0.10909236,0.10388105,0.099258386,0.09630964,0.094540216,0.092720725,0.09044093,0.08832553,0.08752748,0.08850866,0.09076351,0.0934123,0.09572994,0.09762337,0.09913253,0.1008096,0.10309717,0.10617771,0.10925243,0.11133357,0.111952186,0.11149636,0.11055851,0.109556586,0.10887215,0.10908326,0.11047136,0.11268773,0.114475645,0.11452052,0.11190114,0.10680937,0.100174524,0.09315539,0.08668936,0.08149791,0.078383364,0.07773744,0.079242624,0.08185408,0.08453403,0.08683687,0.08878469,0.09077849,0.093027055,0.09569922,0.09846699,0.1009813,0.10279388,0.103901595,0.104534216,0.10517419,0.10609459,0.10715342,0.10771209,0.10694414,0.10429566,0.099713765,0.093881726,0.08815045,0.08425111,0.08327204,0.084822156,0.08718444,0.08866877,0.08876824,0.088146545,0.08730046,0.08599942,0.08332787,0.079178214,0.07437753,0.07073168,0.069757946,0.072822414,0.08067494,0.093726896,0.11019176,0.12642284,0.13697217,0.13890703,0.13266091,0.12308677,0.11502419,0.11146257,0.11151203,0.11273102,0.11279821,0.11119902,0.10839633,0.10503534,0.1013465,0.097817965,0.09506971,0.093516976,0.092521876,0.091023505,0.088230826,0.08453525,0.08096796,0.07871493,0.078159116,0.07905098,0.08030007,0.08102607,0.0807285,0.0804159,0.081530295,0.08526472,0.09091314,0.09668098,0.10097697,0.103804715,0.10643134,0.10999417,0.114593,0.119042784,0.12173846,0.12156273,0.11886502,0.115367554,0.11301505,0.11246628,0.11255732,0.11127657,0.107275955,0.1008955,0.094168894,0.08979437,0.08974839,0.093907036,0.10018587,0.10551527,0.10786143,0.10679818,0.103708915,0.09994473,0.09635729,0.092502445,0.08827751,0.0838879,0.080137424,0.0773655,0.0757031,0.075552374,0.077284575,0.080893464,0.08508272,0.088505395,0.09028699,0.09089592,0.091326475,0.092607416,0.095316224,0.09945244,0.10490426,0.11169835,0.12029635,0.13000055,0.13815896,0.14073497,0.13606595,0.12688936,0.11888522,0.115798734,0.11684617,0.11821435,0.11705274,0.11330688,0.10853079,0.10373344,0.09855179,0.09254792,0.08582243,0.0796912,0.075255565,0.07353184,0.07418009,0.076515466,0.07897364,0.08073781,0.08128507,0.08126336,0.08126991,0.0820101,0.08374864,0.08693036,0.09190198,0.09831364,0.10445431,0.1081056,0.108173065,0.105956525,0.10388768,0.10386448,0.1057283,0.108269185,0.10977111,0.10931209,0.10639748,0.10201252,0.097496875,0.09429386,0.092310496,0.09103629,0.09030681,0.09101803,0.09366656,0.09719667,0.099256724,0.09818403,0.09424329,0.08962685,0.08663536,0.086847514,0.09009046,0.09519348,0.09988046,0.102378406,0.10182878,0.09943774,0.0971202,0.096550405,0.097451985,0.098550856,0.09811259,0.09564829,0.09114101,0.085682,0.08037657,0.0767672,0.075331904,0.07543396,0.07567951,0.075090766,0.074034035,0.07310956,0.07299939,0.07367141,0.0758206,0.080727495,0.090005405,0.10360402,0.118699335,0.13096927,0.13736254,0.13841222,0.13666785,0.13422741,0.13112877,0.12685452,0.12161059,0.11671141,0.11319428,0.111460894,0.11089555,0.11093242,0.110559225,0.109148465,0.10595306,0.10154658,0.09718269,0.0945628,0.09423941,0.09537906,0.09647424,0.096345544,0.095395826,0.095054984,0.09707069,0.101699375,0.107726276,0.113060795,0.11640746,0.11761352,0.11762804,0.11731743,0.11708347,0.11655641,0.11528031,0.11304698,0.10998085,0.106546514,0.10323992,0.1005464,0.09834211,0.09618041,0.09365862,0.09093974,0.08850869,0.08677103,0.085935496,0.08613882,0.087408274,0.0895825,0.09228099,0.094984196,0.097031325,0.09765825,0.09679376,0.09519111,0.094281994,0.094584696,0.095941894,0.097904205,0.101011604,0.105465256,0.11043415,0.11362535,0.1135844,0.11049137,0.10632932,0.10272967,0.10051706,0.09924997,0.098399855,0.097404785,0.096181296,0.094647504,0.09271405,0.090201505,0.08731852,0.08489824,0.083878614,0.08467225,0.08629403,0.08731112,0.08614958,0.0829693,0.078647636,0.07530018,0.073975496,0.07530218,0.07803049,0.08071074,0.08155749,0.080152296,0.076676704,0.07217909,0.067839295,0.06527078,0.06548528,0.06851031,0.07309281,0.07794417,0.08199916,0.08491484,0.08639889,0.08680902,0.08657237,0.08656585,0.08731451,0.08916515,0.09172282,0.09409088,0.09543542,0.09566296,0.095724285,0.09690095,0.1002705,0.10619106,0.11408937,0.12229568,0.12838219,0.13042346,0.12808773,0.1228595,0.116761334,0.111308835,0.10712472,0.10458862,0.10404936,0.105442226,0.10805264,0.11072498,0.11289964,0.11446116,0.115597665,0.11606207,0.1156772,0.11433617,0.112351656,0.11016759,0.10847905,0.10757223,0.1071744,0.10628027,0.104330264,0.10146386,0.098887205,0.097650744,0.098514654,0.101084195,0.10447011,0.10717095,0.108255215,0.10750568,0.105883814,0.10463356,0.10478806,0.106347084,0.1085889,0.110265546,0.11100375,0.111560345,0.11406823,0.11970886,0.12772886,0.13452248,0.1365767,0.13205124,0.12278261,0.1119968,0.10329196,0.09837883,0.09792381,0.10110957,0.10656265,0.11206513,0.11557088,0.115676135,0.11258913,0.107770175,0.10335836,0.10039606,0.098695435,0.09686919,0.09444817,0.091766156,0.090036236,0.089250155,0.08858278,0.086726606,0.08360974,0.080138445,0.07743522,0.0756553,0.074021995,0.07181668,0.0693902,0.06820438,0.06976438,0.074320056,0.0803428,0.085156344,0.086543776,0.08419085,0.08003358,0.076722264,0.07579159,0.07683743,0.078653455,0.08066531,0.08321933,0.086880535,0.091284536,0.09542727,0.097955704,0.09829342,0.09659162,0.09373894,0.09074258,0.08817319,0.08637768,0.08520777,0.08459256,0.083625905,0.08137172,0.07703186,0.07138071,0.06616391,0.063495375,0.06448757,0.06913105,0.0760625,0.08344633,0.089443415,0.09357796,0.096393265,0.09930101,0.1031833,0.108223535,0.11374948,0.11882758,0.12265587,0.12474648,0.12496022,0.1235697,0.12104144,0.117942005,0.11440847,0.11083085,0.108071424,0.10766325,0.11008647,0.11367181,0.11527296,0.11292717,0.10780403,0.102755554,0.09967044,0.09791737,0.096048914,0.09362223,0.0915756,0.09096261,0.092116594,0.094854414,0.0987815,0.10314822,0.106811605,0.10880416,0.109270304,0.10923565,0.10978817,0.11096132,0.11220822,0.11304868,0.11381256,0.11497048,0.11652142,0.11772137,0.11767784,0.116207935,0.1137923,0.11136639,0.10936142,0.10789504,0.10657522,0.105188884,0.10361877,0.10217319,0.101156086,0.10058283,0.09986388,0.098252386,0.09547421,0.09213549,0.08917951,0.08722643,0.0860129,0.084928446,0.083395936,0.08154076,0.079746425,0.07863634,0.07833138,0.07857712,0.07837734,0.07666307,0.07280701,0.06741572,0.062029853,0.058187168,0.056511253,0.05653058,0.057406664,0.058450133,0.059725553,0.06178333,0.06574584,0.072236404,0.08106676,0.09045735,0.09806784,0.101830386,0.101213254,0.09725075,0.091961436,0.08759871,0.0856547,0.086885,0.09097739,0.09739446,0.10521408,0.11367687,0.12188878,0.12921302,0.13564591,0.1422032,0.1510507,0.16371118,0.17964345,0.19502191,0.20542353,0.20828731,0.20482732,0.19779378,0.18964963,0.18137129,0.1736361,0.1665966,0.15964533,0.15099062,0.1393697,0.12502295,0.10991942,0.096190654,0.08536927,0.07758298,0.07217231,0.06776196,0.063556544,0.059181426,0.055219803,0.052498687,0.052042533,0.05419575,0.058276862,0.0629619,0.06717207,0.07064736,0.073784225,0.07705063,0.08121711,0.08657158,0.09324073,0.100214325,0.10685002,0.11254782,0.11762589,0.12200407,0.12555312,0.127748,0.12839158,0.12761015,0.1260099,0.12435812,0.12311348,0.122089386,0.12032324,0.11674842,0.11069712,0.10285496,0.09459699,0.087538004,0.08200872,0.07772219,0.07423996,0.072036184,0.07174602,0.07334265,0.07599837,0.07858697,0.080433466,0.08118064,0.08120195,0.081603974,0.08372828,0.08778051,0.092700034,0.097265154,0.101403214,0.10532028,0.108666986,0.11026766,0.109778844,0.10785704,0.10573723,0.103979655,0.102731965,0.10189793,0.10165114,0.10188381,0.10252139,0.10335306,0.10529235,0.110484935,0.12234803,0.14265172,0.16923314,0.19514227,0.21264036,0.21754129,0.21115036,0.19740117,0.17942439,0.15880491,0.13711746,0.11730451,0.10247898,0.09435115,0.0923079,0.09410896,0.09735767,0.10026281,0.10228156,0.10336422,0.10403398,0.10471091,0.10596305,0.10769659,0.10955391,0.11077874,0.11148835,0.11203846,0.11300746,0.113814265,0.113426454,0.11104316,0.107175015,0.10348081,0.101320446,0.101009965,0.101456024,0.10166503,0.10114523,0.10018418,0.098761104,0.0966598,0.09371594,0.090696,0.08874924,0.08844393,0.08889834,0.088366985,0.0858517,0.08186617,0.078395896,0.07725713,0.079406954,0.08386617,0.088678956,0.09162519,0.092387624,0.0923746,0.094061755,0.098459624,0.10482461,0.11105141,0.115516804,0.11747885,0.117036074,0.11482787,0.11181579,0.109280966,0.107861914,0.107683174,0.108168416,0.10901353,0.109840475,0.11034206,0.110032596,0.108734824,0.10657343,0.10373188,0.100242294,0.09614942,0.09202066,0.088784106,0.08737268,0.08793521,0.08997354,0.09262078,0.09522894,0.097391434,0.09867987,0.09888378,0.098098494,0.09711882,0.09649553,0.09635499,0.09612783,0.09547141,0.094350286,0.093033396,0.09186062,0.09116299,0.09117486,0.091554575,0.091619544,0.09096315,0.09002581,0.08982247,0.090756334,0.092395425,0.09350431,0.09347406,0.09221661,0.090404995,0.08820993,0.085756384,0.08285827,0.07996019,0.077536464,0.07642395,0.0771119,0.079791315,0.08383277,0.08823028,0.09230181,0.09584024,0.09905056,0.10174937,0.10402471,0.105990715,0.108106434,0.11033089,0.1124166,0.113991916,0.11488491,0.11500973,0.11437851,0.11316768,0.11154953,0.10938892,0.106181525,0.101733126,0.09662744,0.09237242,0.090236895,0.09066725,0.09281769,0.095393956,0.09718885,0.097620614,0.09690762,0.09569331,0.094821714,0.09443609,0.09432898,0.0938644,0.09295737,0.09192824,0.0917001,0.092944734,0.095593035,0.09858438,0.10064143,0.101337634,0.1013147,0.101592265,0.102446176,0.10332113,0.103419565,0.1024465,0.10080549,0.099125154,0.09795746,0.09716224,0.09636112,0.09505772,0.09344096,0.09178049,0.09030405,0.08875879,0.08727213,0.08626274,0.08641988,0.08758881,0.089256264,0.090492226,0.09098711,0.09039172,0.08892581,0.086936615,0.08544424,0.08526903,0.086836815,0.08985128,0.09370177,0.097714074,0.10115901,0.10328597,0.10348051,0.101756185,0.09917153,0.09751543,0.098215826,0.10102677,0.10393957,0.10466462,0.102478124,0.098842375,0.096152924,0.09589785,0.09789544,0.10077855,0.10338398,0.10520763,0.106351696,0.10665125,0.10569302,0.103231095,0.09988734,0.09674575,0.094667144,0.093672216,0.09361265,0.09438645,0.09617456,0.0986005,0.10106798,0.102984466,0.104453206,0.105678104,0.10650257,0.106306635,0.1049011,0.10297636,0.101541854,0.10078167,0.09981007,0.09773436,0.094766386,0.09231594,0.091460705,0.092088014,0.0927585,0.09246397,0.09103799,0.089296184,0.08772864,0.08654835,0.085706286,0.08538879,0.08588808,0.08754363,0.09058318,0.094809175,0.09923575,0.10221361,0.10226605,0.099094205,0.09386691,0.08852389,0.08479959,0.08359635,0.084923536,0.08795628,0.09136503,0.094032265,0.095871724,0.09773848,0.10038689,0.10353807,0.10625004,0.108023345,0.10938222,0.11140182,0.11478492,0.11918357,0.123051256,0.124190986,0.12119037,0.114422105,0.1062401,0.09930477,0.095465064,0.09476784,0.096259095,0.09830738,0.09949387,0.09882813,0.096233256,0.09263583,0.089359276,0.087552875,0.08735903,0.08834353,0.089659005,0.09071717,0.091206975,0.09122681,0.091355294,0.09222541,0.094252676,0.09691959,0.09932063,0.1006475,0.100888245,0.10052913,0.10000831,0.099634714,0.09944329,0.099386655,0.098870166,0.097262055,0.09420972,0.09027424,0.086393796,0.083370246,0.08126373,0.079703055,0.078406,0.07770305,0.07832581,0.08066117,0.084319316,0.0883121,0.0919426,0.09496617,0.0975687,0.099726535,0.10139354,0.10233126,0.10256799,0.102256894,0.10214793,0.102930725,0.104978204,0.10743333,0.10899567,0.108414344,0.10560853,0.1012911,0.096733265,0.093063146,0.09108708,0.09101864,0.092292614,0.093744226,0.09398269,0.092233606,0.088506185,0.08373031,0.07912088,0.07605681,0.07543009,0.077373184,0.080845915,0.08409182,0.08560905,0.084998034,0.08326968,0.08188042,0.08202734,0.083889626,0.087246366,0.09167045,0.096991085,0.10284442,0.10874146,0.11401314,0.11845186,0.1222918,0.1262934,0.13067697,0.13497204,0.13766254,0.13740335,0.13353765,0.12656647,0.11758969,0.10765156,0.097825594,0.08904288,0.08256805,0.07914861,0.079122454,0.081772394,0.0858644,0.089573555,0.091358624,0.09034299,0.08699677,0.08265307,0.07913817,0.077676445,0.078828014,0.0820471,0.086289085,0.08993628,0.09163987,0.09085018,0.08879951,0.08806458,0.091082044,0.09812317,0.1069129,0.11415762,0.117827654,0.11829281,0.11757738,0.11786005,0.12006649,0.12364004,0.1270567,0.12886266,0.12858273,0.12672473,0.124413125,0.122388326,0.12077525,0.11906267,0.11676887,0.11380005,0.11055707,0.107605845,0.10558487,0.104972325,0.10635626,0.10962673,0.114148624,0.11805361,0.12011221,0.120097585,0.11988133,0.120992355,0.12328132,0.12406602,0.12044283,0.1116697,0.09995896,0.08890688,0.081064165,0.07674437,0.07484871,0.0740276,0.07374745,0.07351246,0.07287533,0.071060315,0.06814698,0.06501336,0.063300915,0.06396534,0.066636756,0.06951186,0.070756696,0.06978794,0.067649044,0.066026546,0.065780826,0.06652681,0.06691715,0.06602922,0.06388628,0.06180015,0.06129398,0.063375026,0.06795686,0.074202515,0.081073076,0.087752044,0.09395679,0.099817395,0.10563754,0.111686505,0.11813108,0.12517633,0.13248177,0.13912039,0.14359055,0.14519854,0.1442318,0.14191033,0.13875227,0.13457511,0.12810156,0.11859966,0.105733186,0.09101335,0.07640182,0.06429585,0.055470422,0.0497451,0.046309758,0.044941086,0.04578707,0.048432272,0.051665414,0.05374658,0.0538505,0.05247349,0.051456217,0.05292864,0.05841471,0.06802505,0.080524884,0.09412303,0.10769847,0.121178985,0.13469937,0.14746587,0.15760796,0.16343652,0.16431735,0.16033703,0.15114504,0.1358982,0.114848405,0.09085116,0.06906144,0.054563116,0.05010863,0.055567686,0.06892784,0.08719188,0.10640866,0.12130549,0.12662594,0.12024886,0.10703159,0.09879533,0.10929034,0.14596131,0.20563297,0.27671728,0.34631777,0.40537083,0.44975603,0.47802457,0.4898642,0.48576155,0.4675041,0.43815482,0.4013584,0.36099812,0.32023212,0.28138646,0.24473952,0.20936649,0.17340778,0.13640001,0.099684566,0.067072414,0.043110985,0.031796917,0.034583766,0.049538195,0.07112647,0.09175701,0.10454258,0.10606545,0.097361065,0.08343547,0.07141888,0.06937754,0.08322886,0.114254,0.15615182,0.19704385,0.22409867,0.22971946,0.21389113,0.18252419,0.14457746,0.109487616,0.085646115,0.07692132,0.08056367,0.08806291,0.09164003,0.091007255,0.09591075,0.121326305,0.1793775,0.27314714,0.39597228,0.53410095,0.67032075,0.78607655,0.86380094,0.8886564,0.8520568,0.755696,0.6171432,0.46938267,0.35078526,0.2858996,0.27143547,0.2794336,0.27715963,0.24927767,0.20456247,0.16496044,0.14607804,0.14631377,0.15072899,0.14487733,0.12643047,0.10586212,0.098722875,0.1152293,0.15609564,0.21327369,0.27485272,0.32762706,0.35928082,0.3603138,0.32922092,0.2772417,0.2270888,0.20278473,0.21505375,0.25477073,0.29821455,0.32118076,0.31008828,0.26657555,0.20500498,0.14571974,0.10559735,0.08972012,0.09016139,0.09298668,0.0892211,0.08072874,0.077833,0.09111115,0.1251906,0.17787032,0.24336712,0.31375766,0.37754765,0.41845736,0.42106172,0.38162383,0.3151482,0.2482696,0.2015009,0.1764698,0.16076565,0.14428417,0.1292244,0.12411654,0.13094069,0.14046608,0.1397985,0.123375446,0.096611924,0.07179726,0.060968023,0.07179045,0.106061876,0.15977667,0.22379987,0.28571913,0.33332184,0.35785797,0.3560699,0.33015195,0.28665155,0.23539017,0.18801439,0.15567143,0.14478727,0.15300207,0.16905089,0.17863218]