[0.03661099,0.04099059,0.052256744,0.07142792,0.10063389,0.13858266,0.17874001,0.2091641,0.2221262,0.21763355,0.20398493,0.18882632,0.17618328,0.16620864,0.1589845,0.15545428,0.15657026,0.1621546,0.17049468,0.17945234,0.18763639,0.19587356,0.20886017,0.23442833,0.27928945,0.33789673,0.3893712,0.40507254,0.37150073,0.30037153,0.2217863,0.16102378,0.12611967,0.11038128,0.10421177,0.10201434,0.102006465,0.10366348,0.106333286,0.109598525,0.11293629,0.115627624,0.11645662,0.114923686,0.11137568,0.10708385,0.10292194,0.09940881,0.096365206,0.09371295,0.09120431,0.08877718,0.08622599,0.08343334,0.08061253,0.078327306,0.07723386,0.077287234,0.07794577,0.07875875,0.08003668,0.0820272,0.08415138,0.08479499,0.08298573,0.0789971,0.0746336,0.07173381,0.07147181,0.07336251,0.07539236,0.07517117,0.07170354,0.066630706,0.062910564,0.06253371,0.06463298,0.06637818,0.065273724,0.061129335,0.056018088,0.052825946,0.053224325,0.05686048,0.061522435,0.06525668,0.06791685,0.071248285,0.07742221,0.08600559,0.09470872,0.099055134,0.09788545,0.09278423,0.089910656,0.09212064,0.0977334,0.099414684,0.09354439,0.083128,0.07676014,0.07891486,0.08654529,0.091623805,0.089997895,0.08458126,0.0818244,0.0844445,0.08859115,0.08830166,0.08097622,0.06986457,0.060177308,0.055890173,0.05803628,0.067141265,0.083169185,0.10484716,0.1257813,0.13755259,0.13424958,0.12033992,0.10640517,0.10198259,0.107051335,0.1157332,0.12197993,0.123866975,0.12131793,0.11525271,0.10719185,0.099845976,0.094212614,0.089387156,0.08315557,0.075548746,0.06882134,0.06689435,0.07197093,0.08335503,0.097436585,0.11068686,0.121385366,0.1284399,0.13094227,0.12888965,0.12735344,0.13268943,0.148558,0.17076097,0.19209366,0.20658366,0.21145184,0.20645447,0.19174062,0.17026317,0.14513768,0.12149873,0.10403096,0.09842894,0.107056044,0.12523371,0.14145963,0.14350484,0.12905924,0.10545266,0.0851442,0.074672736,0.07424357,0.078682594,0.08311871,0.08414822,0.08140227,0.0768854,0.074134916,0.07617504,0.083206594,0.091940634,0.09722987,0.09612838,0.0896594,0.081586756,0.074921645,0.07068031,0.068520606,0.06821376,0.070028044,0.07528818,0.085793436,0.10200033,0.1205738,0.13471897,0.13895984,0.13385049,0.12728761,0.12881356,0.14302713,0.1651952,0.18498695,0.19282131,0.18652283,0.17097794,0.15562719,0.14959018,0.15782958,0.17762886,0.1969437,0.20204824,0.18592983,0.15653783,0.12791853,0.11084779,0.10375919,0.099905185,0.09400905,0.08699366,0.08140857,0.07802002,0.07513379,0.07118815,0.06657546,0.06284965,0.061900172,0.06435018,0.07028606,0.07782538,0.084510684,0.08725706,0.08593281,0.08290648,0.08262119,0.08716812,0.096004985,0.106161505,0.11536163,0.12261131,0.12928005,0.13842724,0.15212576,0.16742037,0.17615776,0.17249162,0.15954572,0.14939414,0.15065198,0.16291137,0.17550375,0.18120843,0.17820585,0.17160772,0.16338728,0.15273221,0.13759676,0.119683295,0.105352044,0.10159493,0.11296149,0.13483073,0.15632568,0.16382386,0.15404272,0.13295913,0.11296583,0.09998307,0.0939778,0.09010015,0.0858093,0.08100373,0.07791913,0.078325756,0.082198076,0.08698487,0.08947148,0.08787081,0.08418512,0.08236387,0.0869793,0.09974853,0.1207379,0.14628178,0.1705995,0.18569009,0.18735868,0.17755823,0.16321953,0.15015763,0.13932703,0.12975796,0.12151558,0.11675217,0.11556885,0.11529482,0.112803966,0.10786006,0.10333008,0.101310514,0.10153251,0.100989245,0.09824231,0.0941821,0.09314248,0.09783562,0.108008005,0.11832861,0.12446823,0.12565355,0.12686467,0.13240288,0.14275134,0.15253045,0.15614255,0.1501247,0.13646469,0.11923072,0.103615105,0.09188818,0.08445159,0.08084776,0.08160522,0.087049186,0.09425945,0.0979211,0.093209535,0.08129654,0.06895137,0.06541788,0.0748569,0.093756676,0.11253951,0.1241107,0.1274604,0.1282845,0.13241039,0.14408667,0.16178595,0.17949684,0.188148,0.18320443,0.1686114,0.15351236,0.14486913,0.14170249,0.13872088,0.1310844,0.11940483,0.107763864,0.10092443,0.100147404,0.10336683,0.10708558,0.10993421,0.11383898,0.12154559,0.13387728,0.14657162,0.15447457,0.15290608,0.14339925,0.12927414,0.11745133,0.112614416,0.118766524,0.13353373,0.15066402,0.16138588,0.1609589,0.14930348,0.13081597,0.1111621,0.09697246,0.09308008,0.10126505,0.11677758,0.13093342,0.13445905,0.124930285,0.10670785,0.08864953,0.07738665,0.07592597,0.08368757,0.09826272,0.116493255,0.13518177,0.15237178,0.1661904,0.17474782,0.17569344,0.169152,0.15843363,0.1493607,0.14621186,0.14862837,0.15216653,0.15046144,0.14040081,0.12245402,0.10332205,0.09137083,0.095013,0.11461737,0.1437426,0.1714757,0.1911933,0.20215106,0.20569675,0.20200114,0.18851928,0.16754796,0.14592914,0.13515453,0.14085905,0.16014364,0.18094552,0.19145536,0.18562965,0.16733557,0.14467604,0.12642361,0.11519299,0.10983058,0.10611423,0.10227748,0.098040126,0.09473715,0.09293306,0.09256831,0.09282107,0.09253016,0.09209758,0.09372079,0.10091313,0.11377301,0.12820964,0.13729419,0.13726538,0.12903328,0.11713361,0.10606552,0.09944563,0.100557335,0.11075399,0.12888895,0.14853965,0.16273831,0.16533382,0.15740995,0.1451488,0.13655989,0.13511573,0.13812454,0.14303076,0.14847432,0.15530407,0.1592668,0.15660413,0.14640555,0.13661957,0.13421953,0.14030068,0.14614505,0.14454876,0.1359148,0.12971233,0.13325883,0.14576049,0.1588179,0.1668071,0.17062676,0.17656207,0.18680288,0.19839084,0.20305203,0.19551934,0.17485553,0.14815581,0.124727674,0.11209007,0.109489374,0.10993088,0.10614858,0.09655411,0.08683143,0.083259106,0.08869488,0.098278284,0.10624816,0.10862038,0.10971856,0.11516652,0.12951459,0.14678262,0.15739805,0.15180402,0.13335879,0.1146042,0.11163286,0.13019256,0.1621256,0.19063115,0.20049523,0.18734916,0.1568285,0.12134779,0.09269291,0.07895922,0.08146302,0.09592658,0.11467544,0.13161226,0.14322062,0.1485206,0.14666824,0.13986604,0.13484792,0.14022003,0.15989487,0.18751083,0.21427365,0.23202908,0.24112362,0.2405913,0.23255551,0.2155205,0.19217105,0.16363364,0.13409406,0.10664921,0.085355856,0.07285976,0.07203663,0.08339008,0.1043242,0.12714057,0.14507328,0.15420616,0.15595989,0.1521193,0.14590873,0.14232276,0.1470984,0.16086906,0.17583714,0.18251868,0.17823124,0.16934945,0.16332446,0.16131575,0.15941499,0.15465407,0.14920592,0.14716901,0.15000428,0.15503347,0.15809178,0.15717326,0.15266216,0.14620708,0.13951792,0.13407503,0.13151014,0.13142097,0.13210106,0.13000005,0.12354421,0.113072604,0.10168611,0.093095295,0.09001404,0.09345142,0.10164253,0.111521654,0.11857758,0.11966177,0.11493855,0.108343355,0.10542932,0.10824653,0.11648945,0.12703909,0.13799162,0.14542854,0.14704508,0.14146763,0.13112108,0.11762723,0.10207614,0.08521107,0.07070896,0.062761284,0.06408713,0.07380404,0.08954882,0.106850006,0.119968325,0.12283691,0.11380484,0.09699413,0.07975498,0.06704714,0.059731346,0.05662282,0.05805516,0.06463804,0.074824415,0.08309781,0.08422441,0.07695828,0.06529697,0.05426626,0.047319006,0.04582125,0.051259086,0.06319996,0.0781444,0.0890997,0.092597485,0.09092349,0.091056235,0.096193284,0.104213595,0.10956308,0.10924242,0.10360127,0.09512228,0.0863924,0.07895399,0.07376467,0.07068134,0.06940762,0.06873556,0.067200266,0.06374432,0.059025172,0.05582741,0.05687135,0.06318464,0.07227239,0.08129734,0.08893299,0.098885514,0.11461464,0.13708818,0.1595699,0.17430748,0.17504151,0.16241668,0.1403291,0.11454921,0.090619974,0.07374985,0.067814864,0.07286807,0.08410051,0.09439969,0.098197244,0.09574271,0.09103338,0.08909055,0.09117228,0.09477979,0.096210726,0.09361622,0.08912418,0.08577377,0.08630809,0.09031081,0.09661136,0.10282465,0.10786107,0.11106899,0.11401708,0.11726043,0.11972774,0.11683619,0.10628507,0.0899022,0.07490879,0.06673322,0.06672836,0.071097076,0.07603433,0.07915739,0.07998195,0.07821422,0.073518306,0.06676643,0.05975691,0.05507477,0.053937774,0.056317553,0.060751516,0.06531125,0.068586305,0.069837034,0.069930695,0.07035143,0.07389033,0.08209016,0.094192676,0.105312474,0.10963735,0.10421454,0.092017554,0.08030335,0.075444676,0.07857118,0.08514168,0.0898718,0.09163607,0.0928072,0.095475085,0.097727716,0.09818704,0.098078586,0.10181203,0.10967603,0.11743444,0.11871674,0.11171725,0.09866951,0.0840258,0.0711546,0.063024186,0.06062508,0.06271275,0.06544427,0.066055395,0.06455182,0.06378587,0.06729581,0.07733637,0.09431521,0.11385059,0.12922469,0.13256384,0.123050965,0.104929365,0.08715407,0.07509094,0.07097715,0.07271478,0.0775919,0.08239656,0.08529383,0.08566026,0.08481421,0.084207065,0.086352915,0.09381825,0.11102587,0.13853271,0.17176592,0.19757503,0.20437236,0.18736196,0.1552905,0.12196684,0.09938904,0.09032071,0.090974025,0.09533752,0.09845973,0.09763685,0.09226429,0.08580623,0.08401009,0.09164121,0.10774982,0.1257007,0.13803138,0.14059053,0.13445292,0.122131325,0.10657955,0.09024781,0.07665789,0.06908623,0.06972807,0.07862405,0.09395965,0.111601554,0.12687081,0.13564305,0.13641466,0.12895882,0.114581354,0.095957406,0.07766303,0.06436687,0.05867213,0.06030572,0.06684542,0.07508675,0.08255434,0.08912424,0.0966073,0.10697167,0.11887434,0.1296602,0.13558674,0.1357023,0.1286502,0.11615485,0.10057938,0.08715736,0.07848301,0.07625195,0.080336,0.09209279,0.10979911,0.12863608,0.14049818,0.14243726,0.13790524,0.13617788,0.14370753,0.16026609,0.17824848,0.18708824,0.1801997,0.15761341,0.12698142,0.0971455,0.074964084,0.061734945,0.05571944,0.05362989,0.05311502,0.052981015,0.053411614,0.055216637,0.058526855,0.062220916,0.063914694,0.062260564,0.057296157,0.05110404,0.04547007,0.041758794,0.039848268,0.039853774,0.043269034,0.054465827,0.07830119,0.114599936,0.15447296,0.18352823,0.19234414,0.1822812,0.16305256,0.14303951,0.125147,0.108988516,0.09581879,0.08927501,0.09209054,0.10329166,0.11864447,0.13331454,0.14369328,0.14663891,0.13967626,0.12261634,0.10065775,0.08250085,0.076184325,0.08170282,0.09205276,0.09631846,0.090090305,0.07556258,0.060403828,0.049255516,0.043772608,0.04332828,0.047935337,0.057236064,0.06849731,0.07746537,0.080515504,0.07884278,0.07752467,0.08237245,0.094171934,0.10863025,0.119460315,0.12443481,0.12553288,0.12741892,0.13162974,0.13672064,0.13815473,0.13396144,0.124668606,0.11435067,0.10577375,0.10042877,0.096631624,0.092553355,0.08639189,0.07897987,0.07251685,0.069230795,0.06911453,0.070246585,0.07218047,0.07683638,0.08882999,0.10941258,0.13533713,0.15675665,0.1647741,0.15529376,0.13368979,0.109544374,0.09161817,0.08307766,0.08263495,0.08785375,0.09644524,0.10673957,0.11513802,0.11823461,0.11320168,0.10205492,0.08946859,0.082211405,0.08300627,0.09073635,0.09961715,0.10535109,0.10599347,0.103534885,0.09968812,0.09527952,0.089580774,0.083038025,0.07734341,0.07552766,0.07873652,0.08692781,0.09823098,0.111728095,0.12494171,0.13432287,0.13529724,0.12719776,0.11486172,0.10720567,0.11080722,0.124390565,0.13815443,0.14044274,0.12702869,0.104596935,0.08491674,0.075560905,0.075409375,0.07844577,0.079465896,0.078260876,0.078332014,0.08392946,0.09515944,0.1072222,0.1129556,0.10969413,0.100620516,0.09218174,0.08747595,0.08576631,0.08449647,0.08227294,0.07907779,0.0753164,0.072260834,0.07042927,0.06966456,0.06797799,0.06444674,0.0593428,0.0548038,0.05310523,0.05667928,0.06699969,0.083249666,0.10250675,0.12154454,0.1389856,0.1531865,0.16187572,0.16275054,0.15897816,0.15524793,0.15553689,0.15635562,0.15499003,0.1497594,0.14337403,0.134832,0.12264136,0.10733176,0.095906384,0.09537689,0.10683999,0.122759126,0.13422003,0.13588768,0.12914066,0.11808375,0.10669166,0.09726267,0.09073329,0.089139156,0.09370691,0.10475654,0.11913222,0.13410373,0.14795482,0.16071022,0.17042686,0.17403644,0.16954143,0.15849783,0.14491506,0.13243221,0.12372332,0.1194342,0.11991199,0.123690106,0.12969394,0.13500023,0.13745257,0.1343931,0.1265145,0.11567847,0.10587818,0.09988598,0.10041094,0.10818536,0.121644914,0.1361562,0.14550619,0.14586985,0.13761483,0.12641662,0.119684346,0.122287095,0.1331042,0.14553142,0.153432,0.15475513,0.15231954,0.14911348,0.14557652,0.13986303,0.12991203,0.11622322,0.100882,0.087516434,0.07821709,0.07392868,0.073486395,0.07528957,0.07744304,0.07872283,0.079299994,0.080831654,0.08501599,0.091636,0.09811639,0.10208741,0.102714844,0.10060889,0.09569139,0.08750588,0.076993965,0.06736104,0.06253801,0.064266585,0.0707629,0.07797473,0.08197611,0.081980735,0.08068922,0.08244268,0.088968836,0.09722506,0.10127101,0.09701661,0.0855547,0.072213255,0.06254657,0.05903651,0.060900766,0.06654096,0.075935155,0.089791894,0.107464515,0.1244463,0.13540184,0.13679762,0.13073055,0.121067755,0.111600004,0.10240892,0.09374932,0.08658885,0.08369648,0.08559867,0.089646466,0.09121892,0.087239884,0.07857717,0.068717726,0.06175056,0.059105385,0.059779454,0.060933355,0.06105955,0.060287658,0.060167056,0.06154261,0.06440642,0.06809778,0.07147712,0.07328155,0.07342761,0.07530424,0.08431492,0.1028445,0.12495855,0.1389852,0.13601382,0.11821095,0.097341746,0.087550946,0.0964996,0.122448325,0.15499403,0.17996426,0.18653518,0.17310373,0.14880791,0.12719877,0.1176865,0.11982898,0.12527646,0.12511013,0.11584651,0.10028192,0.08384154,0.07138396,0.066374406,0.07060128,0.08192629,0.09408104,0.09876729,0.09269917,0.07883162,0.06498841,0.05784006,0.06107681,0.074688405,0.09478808,0.11504871,0.1287031,0.13263895,0.12730527,0.1158671,0.10303128,0.09416843,0.09395341,0.10253808,0.11591067,0.12770726,0.13379586,0.13307936,0.12715833,0.118254274,0.108209334,0.09807524,0.08935112,0.08464262,0.08724257,0.09785485,0.11306173,0.12574713,0.12990803,0.123700015,0.1106905,0.09686154,0.08783681,0.08641998,0.09171805,0.09932793,0.10341697,0.10074153,0.093682386,0.089931644,0.09644752,0.11408212,0.13442804,0.14701766,0.1456915,0.1352878,0.1250675,0.12265438,0.12693192,0.13183409,0.13122882,0.12377343,0.113255,0.10518032,0.103646256,0.10791952,0.113943934,0.11702565,0.115553886,0.1116305,0.10868484,0.10870668,0.110645235,0.11222031,0.112309955,0.11235402,0.11564612,0.124490954,0.13776852,0.14963643,0.15287036,0.14368112,0.12501745,0.104079954,0.08791331,0.080102235,0.082063176,0.09311568,0.111870505,0.13423388,0.15554473,0.16935332,0.17042065,0.15590568,0.12990023,0.10206442,0.08335999,0.07854626,0.08421221,0.09176427,0.09452802,0.091820754,0.08821822,0.088827886,0.09480414,0.10286931,0.107476115,0.10517275,0.09624318,0.08453146,0.074513614,0.06971756,0.072257094,0.082141094,0.09636605,0.108736575,0.11380258,0.110598154,0.103277475,0.09706158,0.094274916,0.09443235,0.096415795,0.10023565,0.10613648,0.113348395,0.119555406,0.12151492,0.11736173,0.10846769,0.09923261,0.09335347,0.09121623,0.09105868,0.092327595,0.09597572,0.10197204,0.107537806,0.109650314,0.107321076,0.10278868,0.098992966,0.09841376,0.10171946,0.10803217,0.11452993,0.117347896,0.11314899,0.102058284,0.08735011,0.073836274,0.06429926,0.059895832,0.061521757,0.069948904,0.08474221,0.1014132,0.11436722,0.11814172,0.11228222,0.0996243,0.08635938,0.077149875,0.07406446,0.074751176,0.075772285,0.07426701,0.07065067,0.06713796,0.067426234,0.0739778,0.086729914,0.102101214,0.1147378,0.121224664,0.12091658,0.11610662,0.10854771,0.10009459,0.091478325,0.08437244,0.07948536,0.07769497,0.07863275,0.08265546,0.088693164,0.09482249,0.09769677,0.096850656,0.09541937,0.09817698,0.10598535,0.11448508,0.11795259,0.11466082,0.10806826,0.10425671,0.10802513,0.1212335,0.140517,0.15841158,0.16654211,0.1626084,0.15257259,0.14588366,0.14745156,0.15263373,0.15319937,0.14416711,0.13073844,0.12178472,0.123606,0.13269955,0.14061935,0.13960586,0.12838955,0.11118114,0.09419751,0.08185189,0.07589164,0.07628647,0.08281531,0.09365257,0.105853856,0.11607329,0.12299498,0.12609375,0.123725645,0.114416726,0.09930148,0.0839534,0.0746474,0.074644946,0.08313068,0.09564962,0.10778132,0.114249796,0.11333805,0.1054188,0.096372746,0.0912624,0.09325143,0.10004678,0.1090266,0.11845064,0.12710579,0.13277465,0.13294776,0.13062362,0.13120127,0.14078288,0.15764214,0.17686377,0.19023113,0.19326182,0.18359764,0.1642021,0.140402,0.119901806,0.1085988,0.10936884,0.119467385,0.1330974,0.14538424,0.15558274,0.16544102,0.17437153,0.18055703,0.18344766,0.18637405,0.19050503,0.19263761,0.18682617,0.17206793,0.15209621,0.13244106,0.11518384,0.101447195,0.09170041,0.08721117,0.08731389,0.09169481,0.100244276,0.113330804,0.1282991,0.13996296,0.14383389,0.13987271,0.1327361,0.12686917,0.12326828,0.11847603,0.1093645,0.09690308,0.08663877,0.084069334,0.08945493,0.09755429,0.102172665,0.10085318,0.09620508,0.09232245,0.093084894,0.09982803,0.11267712,0.12877624,0.14395465,0.15337302,0.15472637,0.14835145,0.1370211,0.12505572,0.11770401,0.11942058,0.12980737,0.14281626,0.14943275,0.14478369,0.1305755,0.11292237,0.09798031,0.08919504,0.08877761,0.09593272,0.10856512,0.12052941,0.12671302,0.12247271,0.109536074,0.09308586,0.082110815,0.08202397,0.09219878,0.104774036,0.11026893,0.10429025,0.090190925,0.076352365,0.06927093,0.07038135,0.07669262,0.08498811,0.09300938,0.09907439,0.10048186,0.09540391,0.08516734,0.07534645,0.0729618,0.081852674,0.099909715,0.12083095,0.13851345,0.15081723,0.15785421,0.16070147,0.1594609,0.15488014,0.14695269,0.13489258,0.11876532,0.10237301,0.093598455,0.09850285,0.115821086,0.13557824,0.14649476,0.1439163,0.13287129,0.12142003,0.11398419,0.108819574,0.1030914,0.09577259,0.08848535,0.08286283,0.08021294,0.080611855,0.08297027,0.08484148,0.0843708,0.08180147,0.079395145,0.07919153,0.081067406,0.08319575,0.08387665,0.08287715,0.080488734,0.076961726,0.07283112,0.071396105,0.077357896,0.09468766,0.11994523,0.14432704,0.15549012,0.14880584,0.12705053,0.101959504,0.08422501,0.08130314,0.09213042,0.11004573,0.12562071,0.13209438,0.1283272,0.1175446,0.10593843,0.09821425,0.0973339,0.101635545,0.108254395,0.11352107,0.11686329,0.11932986,0.12250453,0.12582432,0.1280603,0.13111413,0.14115815,0.16247451,0.19083904,0.21323039,0.21808721,0.20269024,0.17478992,0.14715733,0.13151121,0.13430513,0.15173079,0.17367788,0.18846129,0.192686,0.1885271,0.18077378,0.1700505,0.15574755,0.13785495,0.12028267,0.108014576,0.10461528,0.10864639,0.11414936,0.114522584,0.10705409,0.096232444,0.08876949,0.089982234,0.09775707,0.10660847,0.1093876,0.103812866,0.09206591,0.08006891,0.07258669,0.0713397,0.07609706,0.086514555,0.100880034,0.11453382,0.12089599,0.11855346,0.11314268,0.11477467,0.12742068,0.14583445,0.15843421,0.15788428,0.1457276,0.13054691,0.11970782,0.115157835,0.113527775,0.11188876,0.10919157,0.106943585,0.10492245,0.10252374,0.09815935,0.09274024,0.08758334,0.08535876,0.08671704,0.09138393,0.09673491,0.101396106,0.10468471,0.10761396,0.109922566,0.11062306,0.10862056,0.105229445,0.105234705,0.1135683,0.13078159,0.14943437,0.1595326,0.15515597,0.13915505,0.1185145,0.09975452,0.08531419,0.07573494,0.0706461,0.06989869,0.072724044,0.07754948,0.08310023,0.08809202,0.092062324,0.09312882,0.09043148,0.084235765,0.07876726,0.07900659,0.08709384,0.09923414,0.10727648,0.105964266,0.096029334,0.084330864,0.07716921,0.07718085,0.08209077,0.087452434,0.08913327,0.085958995,0.07966931,0.074265234,0.072636954,0.075598925,0.08072037,0.08490292,0.08635801,0.08600191,0.08568411,0.08613219,0.086651504,0.08698737,0.08722789,0.08766091,0.08760974,0.08900801,0.09485308,0.10771405,0.123185895,0.13352604,0.1321175,0.120981984,0.1078622,0.100346304,0.10018351,0.10313413,0.10435564,0.10100209,0.09445742,0.08732172,0.08233008,0.080393486,0.08074919,0.08203862,0.08300972,0.08312741,0.082055815,0.07986332,0.077740304,0.07771181,0.08158212,0.08941094,0.099106394,0.10813222,0.114134796,0.116691075,0.11580479,0.112301946,0.10640653,0.0993884,0.093465276,0.092000574,0.09663776,0.106498994,0.117299594,0.12494835,0.12681009,0.12410373,0.1188611,0.11245821,0.10423231,0.09346301,0.08153986,0.071686655,0.06818947,0.073093444,0.08489766,0.09831542,0.107708685,0.11108493,0.10955129,0.10551691,0.09923006,0.09174368,0.08472245,0.080878586,0.08004186,0.08020855,0.079165444,0.07751437,0.078477494,0.08757759,0.10968244,0.14610769,0.18865299,0.22243679,0.23211275,0.21548815,0.18304276,0.15243483,0.13371079,0.12797663,0.12840372,0.12946214,0.12726362,0.12217768,0.11485999,0.10726723,0.09911988,0.09071729,0.08237741,0.07785068,0.08058051,0.09187343,0.10730142,0.11960021,0.12306074,0.11737466,0.107670315,0.10013032,0.098547034,0.10209293,0.10716423,0.1093516,0.10602497,0.09719971,0.08656756,0.079682745,0.08155643,0.09164331,0.104480706,0.112475246,0.11316607,0.10941035,0.1064922,0.106987305,0.109793186,0.113564074,0.116333745,0.11762992,0.114748925,0.10780519,0.09750178,0.08827517,0.082505055,0.08115684,0.0817539,0.08208299,0.08149841,0.0816224,0.08451009,0.090203114,0.09658742,0.10037488,0.0995954,0.094631456,0.08825732,0.08412975,0.08511805,0.09145907,0.10121825,0.11083106,0.118864514,0.124449484,0.12840797,0.12831472,0.123260856,0.1132701,0.10513177,0.10685154,0.123219095,0.14847784,0.16838987,0.17187993,0.15965557,0.14530014,0.14012285,0.1450154,0.15004398,0.14748214,0.13800459,0.12762325,0.120019406,0.11296934,0.104997076,0.09763265,0.095594384,0.09973719,0.107052915,0.11314102,0.11583924,0.11580196,0.114199735,0.1126465,0.11256053,0.11490332,0.11899004,0.121832915,0.121557675,0.11884391,0.11818346,0.122852534,0.1335311,0.14862435,0.1671782,0.18722457,0.20182134,0.20114665,0.18029416,0.14696734,0.11643028,0.101033844,0.102001585,0.11251273,0.1253273,0.13814856,0.15351415,0.17218338,0.18943204,0.1951615,0.18340637,0.15772341,0.13057016,0.114771865,0.11731285,0.13796708,0.16976738,0.20176369,0.22191443,0.22355741,0.20711488,0.17983566,0.15132415,0.13107686,0.12388673,0.12785299,0.13494553,0.1384636,0.13719273,0.13508554,0.13483618,0.13583286,0.1362508,0.1354565,0.13425688,0.13203447,0.12829232,0.123295546,0.11977255,0.11972284,0.12232995,0.124015264,0.121500336,0.11509798,0.10699137,0.099152096,0.09087771,0.081914276,0.073307015,0.06791968,0.067076914,0.07063821,0.07721961,0.08667455,0.09832108,0.11160173,0.12361064,0.13345635,0.13901865,0.14081645,0.1370788,0.13004829,0.12081435,0.112276696,0.103147514,0.0939666,0.08553677,0.08147644,0.082118176,0.08625,0.09070537,0.09466124,0.09748832,0.09922296,0.09901313,0.09734627,0.0949845,0.09302934,0.0912669,0.089736134,0.088721454,0.0886746,0.08875009,0.0872607,0.08375286,0.0799867,0.07845599,0.07987151,0.08274177,0.08646686,0.093203366,0.1060797,0.124934524,0.14405318,0.1569491,0.15980066,0.15411715,0.14227556,0.1273809,0.11244994,0.10181826,0.09806591,0.10073329,0.10608849,0.11033645,0.11044603,0.105671465,0.09649641,0.08573246,0.07613642,0.07000669,0.06741396,0.06793856,0.070817254,0.07574204,0.082537286,0.09178933,0.1045205,0.12040726,0.13641922,0.14737271,0.14911576,0.14154905,0.12927084,0.120686464,0.12165031,0.13287257,0.14579271,0.15228526,0.14737338,0.13605,0.12317476,0.1123536,0.10109806,0.088682555,0.07669869,0.071020156,0.0769561,0.09654478,0.12628992,0.15787657,0.18260294,0.19385946,0.19019687,0.17331749,0.14972234,0.12711056,0.113283515,0.10994494,0.11453847,0.120347865,0.12265139,0.11869174,0.109939344,0.09955851,0.09178867,0.090612434,0.097759694,0.1121451,0.12756984,0.13781153,0.13818944,0.13043241,0.11780786,0.104797624,0.09283986,0.08320544,0.07569203,0.07071265,0.06797127,0.067609444,0.069286644,0.07228743,0.075690456,0.0794862,0.085611425,0.09699413,0.11536729,0.138026,0.15795587,0.1666938,0.16085045,0.14344195,0.12290698,0.106628455,0.09951147,0.10120794,0.108460784,0.116225414,0.12297514,0.1318699,0.1478798,0.17206037,0.19724943,0.21323098,0.21178097,0.19560601,0.17369942,0.1596355,0.16113056,0.18246329,0.21651225,0.250468,0.26516485,0.25478974,0.22754626,0.20278226,0.18999298,0.18505728,0.17779998,0.16253954,0.14273076,0.1244084,0.11628839,0.12328287,0.14559399,0.1723929,0.18947577,0.18604527,0.16469602,0.13661289,0.11544076,0.107812054,0.11353608,0.12701817,0.14092857,0.14786215,0.14296357,0.12749894,0.10868627,0.096638985,0.09716121,0.10873475,0.12256968,0.12880497,0.12210956,0.10530289,0.08613297,0.07329898,0.072160676,0.08606743,0.11396376,0.15045667,0.18385796,0.20360647,0.2053967,0.19379054,0.17617935,0.1574078,0.1397747,0.12549876,0.11896422,0.123205744,0.13666528,0.15232132,0.16070966,0.15660834,0.14050102,0.12028917,0.104139276,0.09892384,0.10392067,0.11584278,0.12891139,0.14151005,0.15169263,0.15869544,0.16002388,0.15644813,0.15041476,0.14531524,0.14188424,0.13929482,0.13570797,0.12999442,0.1227746,0.119179964,0.1272933,0.15115406,0.18506981,0.21506971,0.22903349,0.2228046,0.20018367,0.16992271,0.1417023,0.12473967,0.1209353,0.12539633,0.12824167,0.12384828,0.1135552,0.104450084,0.103108965,0.110672146,0.12222641,0.13023935,0.13032003,0.12333971,0.113650136,0.10538539,0.10166686,0.10488954,0.11549892,0.12966566,0.14001729,0.14087595,0.13220139,0.119665034,0.110119425,0.10819674,0.11416728,0.12394848,0.13134666,0.13180058,0.12610556,0.11905352,0.115255885,0.115246065,0.116799794,0.11837114,0.120752655,0.125117,0.13130425,0.13791923,0.14335449,0.14515339,0.14045766,0.1283692,0.1129291,0.101353526,0.09897236,0.10486298,0.11410493,0.12209847,0.12893625,0.13540389,0.14134121,0.14201225,0.13531189,0.12181301,0.10775998,0.09720638,0.09229698,0.0907248,0.09128177,0.093156345,0.097916506,0.10519593,0.11447752,0.12337285,0.13267134,0.1423413,0.15316011,0.16107045,0.16317101,0.15709893,0.14656645,0.13579266,0.12910052,0.1260628,0.12500744,0.12345457,0.121692814,0.12175498,0.12573862,0.13319461,0.13940407,0.13972495,0.13235892,0.12205007,0.1152905,0.116614796,0.124399014,0.13351452,0.1402613,0.1452418,0.15178688,0.15974699,0.16543122,0.163522,0.15391292,0.14053659,0.13055332,0.12795667,0.13263434,0.13923164,0.14260818,0.14180084,0.14147472,0.1469239,0.158294,0.16965862,0.17429262,0.17129476,0.16714038,0.17035371,0.18421201,0.2021948,0.21232845,0.20458834,0.18008833,0.14956176,0.1285431,0.1262495,0.14214961,0.16558297,0.1833968,0.18704174,0.17670931,0.15956755,0.14374112,0.13471656,0.13343121,0.1392805,0.15014617,0.16377725,0.17505871,0.17864893,0.17038609,0.15205218,0.12982899,0.11159662,0.101035744,0.09669116,0.09449953,0.09283521,0.09404298,0.10070643,0.112597324,0.12485371,0.13276012,0.13291593,0.12689401,0.11898414,0.116225325,0.12264112,0.137464,0.1539426,0.16518973,0.16777056,0.1631785,0.15496433,0.14525187,0.1351378,0.12421625,0.11408407,0.10621933,0.10306915,0.10482194,0.11175733,0.124192774,0.14205818,0.16139905,0.1740257,0.17430802,0.16375448,0.15095504,0.14224344,0.13961644,0.14021133,0.14258082,0.14559472,0.15145004,0.16161989,0.17641623,0.19022565,0.19620387,0.19013238,0.17414649,0.15335752,0.13270329,0.11568423,0.1045791,0.10043488,0.101843,0.10534924,0.10663108,0.103551835,0.09728516,0.09165051,0.089627564,0.092022926,0.09782156,0.106728666,0.11804154,0.12976451,0.1375299,0.13861471,0.13366832,0.12680162,0.12149603,0.11884683,0.11784685,0.11775336,0.119449854,0.12514596,0.13628756,0.15194546,0.16875082,0.18301697,0.19205695,0.1940134,0.18775666,0.17379278,0.15601479,0.13993923,0.13002653,0.12632619,0.12577255,0.124176316,0.12013786,0.11477986,0.110739686,0.10864547,0.107557416,0.10629482,0.105657615,0.107078195,0.11076543,0.115836896,0.12176854,0.12959553,0.13894741,0.1481051,0.15460952,0.1588476,0.16250087,0.16654976,0.17033218,0.17228009,0.17145455,0.16641349,0.1569298,0.14477472,0.13419098,0.1285143,0.12750359,0.12829934,0.12905788,0.1305642,0.1335184,0.13620366,0.13490564,0.12871662,0.119124,0.11007425,0.103290014,0.09995437,0.09938884,0.100970834,0.104239374,0.10899996,0.114816986,0.119159095,0.11938801,0.115313254,0.11031414,0.109479375,0.1145477,0.12473002,0.13583404,0.14462136,0.14676441,0.1409688,0.12827902,0.11409047,0.10361185,0.100440465,0.10457494,0.11403806,0.12413835,0.13039081,0.12921607,0.121877015,0.111278005,0.10196782,0.09548774,0.092839055,0.0930407,0.09684027,0.10374808,0.1132248,0.12171758,0.12639694,0.1251592,0.119806886,0.11414242,0.113641076,0.12000845,0.13016637,0.13571785,0.13191174,0.11968679,0.10751381,0.10131824,0.10306171,0.10790178,0.11199981,0.11346144,0.11502004,0.11918447,0.12638037,0.13448949,0.14141516,0.1485219,0.15632917,0.16383024,0.16503775,0.15838276,0.14625818,0.13680054,0.13401823,0.13824189,0.14548121,0.15217318,0.15541895,0.15393144,0.14901763,0.14332072,0.140153,0.13989525,0.14281209,0.14694758,0.15185247,0.15474604,0.15543218,0.15351333,0.15107189,0.14849027,0.14609005,0.14408773,0.14393686,0.1470202,0.15268992,0.15843032,0.16103165,0.15882905,0.15231864,0.1448882,0.14139219,0.14490151,0.15333252,0.16060074,0.16216677,0.15856497,0.15382946,0.15150875,0.15403666,0.16451378,0.18495494,0.21327782,0.24018246,0.25718713,0.2615616,0.26183543,0.26444802,0.26831102,0.25993568,0.23148374,0.18757935,0.1472968,0.12619554,0.12835723,0.14423965,0.16145404,0.17103177,0.17184679,0.16816396,0.16558917,0.16622312,0.16686743,0.16276325,0.15210597,0.13943456,0.13315594,0.13948996,0.15698636,0.17543346,0.18365945,0.17729075,0.16235225,0.14865805,0.14139271,0.13841079,0.13392879,0.1266167,0.11954095,0.117818385,0.120902635,0.12419331,0.121995896,0.11435882,0.106350325,0.103963375,0.1090573,0.11803726,0.12649779,0.13147879,0.13376486,0.1346529,0.13736217,0.14516373,0.16032004,0.17858477,0.19084859,0.188236,0.1712671,0.14880489,0.1347438,0.13681264,0.15597309,0.18258047,0.20663159,0.21803279,0.21546632,0.20033975,0.17968512,0.1590867,0.14450346,0.13701044,0.13547193,0.13632697,0.13863061,0.14201091,0.1460763,0.14770684,0.14530474,0.1407182,0.1388296,0.14354289,0.15476955,0.16898854,0.17959248,0.18044592,0.16914774,0.15049161,0.13309206,0.12340334,0.12091062,0.120976746,0.11933894,0.116183706,0.11359147,0.11367694,0.11550605,0.11702031,0.11583394,0.11158645,0.10606689,0.10303092,0.10628485,0.116299815,0.12922029,0.13872667,0.14034578,0.1340858,0.12353196,0.11546398,0.11422705,0.121768795,0.13380891,0.14757766,0.15834413,0.16350509,0.15882923,0.14816004,0.14039929,0.14478362,0.15954967,0.17353792,0.17542185,0.16184153,0.14024289,0.12288778,0.11988435,0.13117112,0.14871775,0.16499825,0.1831279,0.21032542,0.24982612,0.28853586,0.3105394,0.3031684,0.27253315,0.23279363,0.20086034,0.18392523,0.17947699,0.18037236,0.1783229,0.1713661,0.1605169,0.15158032,0.14594008,0.14288308,0.13898031,0.13775057,0.14388017,0.16026416,0.17815411,0.18701947,0.17961335,0.1592891,0.13293643,0.10759184,0.088258564,0.07855042,0.080199055,0.09167313,0.10868904,0.12650432,0.1408215,0.14999922,0.15457766,0.15748537,0.16132985,0.16498522,0.16446352,0.15489691,0.13755043,0.118104674,0.10396414,0.09729812,0.09707173,0.10232908,0.11450222,0.13199283,0.1477785,0.15184273,0.1411856,0.12069591,0.09974923,0.08375541,0.07510913,0.0755761,0.08618629,0.10400244,0.12006167,0.12692197,0.12318834,0.1148799,0.10728937,0.101338685,0.09425044,0.08507828,0.077462696,0.078109354,0.09100673,0.11338929,0.13548444,0.14761394,0.14509958,0.13047738,0.11013695,0.09241601,0.08582496,0.09478644,0.11677823,0.14121707,0.15778138,0.16128947,0.1549577,0.1448858,0.13576917,0.12920374,0.12376079,0.11939604,0.11624668,0.11665254,0.119118504,0.120273925,0.11539105,0.10571554,0.09762325,0.0979023,0.106354564,0.11495725,0.115103364,0.10421256,0.08776342,0.07290915,0.0638252,0.060542032,0.06267107,0.07136374,0.08696107,0.1060037,0.12028936,0.12294022,0.11321386,0.09865236,0.08815219,0.085644074,0.08709424,0.0860006,0.0791303,0.06875013,0.05910917,0.052971736,0.050606236,0.05107395,0.053188954,0.055530656,0.056923065,0.05681133,0.055898238,0.055065017,0.05483002,0.05511373,0.056656066,0.0617059,0.07280552,0.08987721,0.10770241,0.11852091,0.11716131,0.106802516,0.09562838,0.09051306,0.0902011,0.08891245,0.08245249,0.07284497,0.0651379,0.06231153,0.06326201,0.065189674,0.06720441,0.070476346,0.076319985,0.08438625,0.09338223,0.10221549,0.109831266,0.11519394,0.117699854,0.11815598,0.1181963,0.11905411,0.121121466,0.123584546,0.12441673,0.12127798,0.11304184,0.10238087,0.09377629,0.091314614,0.09418899,0.09794232,0.09747281,0.091407605,0.08277213,0.075935274,0.073759384,0.07551677,0.07864938,0.0802959,0.079891115,0.078630626,0.07852525,0.080408745,0.08392862,0.08780413,0.09079269,0.09225702,0.092887335,0.094225824,0.09732775,0.10144093,0.10403187,0.10252596,0.095973454,0.085881926,0.07515546,0.06676718,0.06255038,0.06325576,0.06785652,0.073993534,0.07794288,0.077479385,0.07249055,0.06580671,0.06071821,0.06039839,0.066027425,0.076978564,0.09017535,0.102301456,0.11060389,0.11457962,0.11463988,0.11229252,0.10844227,0.10438792,0.1009227,0.09921805,0.09945079,0.101566546,0.10550022,0.11094084,0.116176195,0.11717397,0.11121089,0.09949454,0.0888047,0.086363055,0.09578928,0.11390334,0.13407908,0.14935482,0.156506,0.15513098,0.14800882,0.13802429,0.12835403,0.119702816,0.1121921,0.105281,0.10008507,0.09825417,0.10095333,0.107364096,0.11432061,0.11855229,0.118622385,0.116975285,0.11714702,0.120835386,0.12517698,0.12589341,0.12110271,0.11402172,0.10999495,0.11253006,0.12033298,0.12881385,0.13293205,0.13080297,0.124350645,0.11842128,0.116712265,0.119770326,0.124633946,0.12872833,0.13116801,0.1322074,0.13079353,0.12583463,0.11878305,0.113347314,0.11253959,0.11524099,0.119032525,0.12125567,0.12184993,0.120321244,0.11888967,0.12061105,0.12959607,0.14432693,0.15868294,0.16467084,0.15985917,0.147171,0.13195097,0.118023865,0.107209206,0.101497024,0.10163986,0.10800323,0.118136846,0.12967564,0.13881624,0.14217713,0.13707173,0.12421533,0.108694635,0.0975799,0.09704558,0.10767599,0.124557056,0.13952751,0.14722484,0.14793909,0.14453416,0.14003141,0.1350589,0.13202363,0.13088377,0.13005231,0.124246635,0.11357179,0.10300704,0.10028299,0.106532246,0.11671791,0.12426666,0.12681009,0.12603346,0.12352089,0.11953684,0.11384056,0.10886427,0.107732505,0.111877024,0.117898494,0.1207084,0.11740243,0.109619506,0.10166601,0.096870504,0.09753278,0.10391927,0.11434064,0.12338827,0.12508316,0.11754351,0.10431641,0.09194978,0.08463845,0.085181676,0.09432233,0.11157596,0.13170058,0.14709216,0.15257157,0.1496036,0.14490712,0.14252011,0.14191984,0.13899465,0.1330075,0.12568614,0.11983677,0.11749373,0.1204922,0.12966007,0.14106233,0.14780205,0.1444034,0.13282639,0.120700546,0.11629636,0.12320248,0.13809016,0.15317118,0.15971754,0.15444587,0.13958846,0.12161636,0.10527086,0.09368506,0.088788725,0.09345871,0.10885201,0.13102068,0.15136877,0.16160496,0.16225827,0.16067828,0.1649567,0.17365634,0.18053354,0.1814454,0.18009031,0.18161587,0.18566877,0.18783931,0.18447615,0.17872846,0.17474838,0.17533489,0.17687887,0.17574833,0.16932674,0.15981656,0.15090941,0.14777313,0.1540346,0.1680926,0.18230224,0.1867515,0.17923985,0.16614996,0.15821579,0.15976222,0.16755722,0.17380673,0.17413811,0.17008545,0.16720565,0.17011611,0.17836256,0.18818527,0.19501053,0.1985696,0.20244847,0.21287592,0.23248787,0.2568266,0.2744967,0.2751399,0.25653565,0.22729878,0.19989432,0.18467472,0.18420249,0.19456589,0.2067914,0.2130392,0.21142043,0.20650189,0.2047804,0.2073422,0.21140881,0.21196906,0.20827405,0.20149244,0.19636665,0.19710757,0.20649503,0.22057678,0.2314108,0.23125994,0.22113477,0.20729464,0.19825079,0.19636665,0.20054732,0.20444562,0.20202716,0.18934137,0.17113696,0.15756655,0.15948395,0.17846818,0.20750599,0.23350672,0.24825442,0.25021836,0.24451192,0.23395078,0.21803458,0.1947767,0.16736074,0.14373153,0.1322072,0.13606487,0.1522032,0.17420179,0.1929553,0.2008894,0.192567,0.17301255,0.152207,0.14278339,0.14714424,0.16146475,0.17655276,0.18678355,0.19008946,0.18814307,0.18316476,0.17508917,0.16356869,0.1496749,0.13863085,0.13547133,0.1415611,0.1522157,0.16038069,0.16262336,0.16301422,0.17270118,0.20144756,0.25061235,0.3068075,0.3499495,0.36176157,0.34004083,0.29627475,0.25055838,0.21663372,0.19895063,0.19331746,0.19469412,0.199845,0.2069604,0.21427383,0.21839134,0.2162276,0.20458458,0.18459924,0.16100238,0.14207369,0.13347732,0.13579448,0.14512905,0.15543538,0.16233446,0.16290635,0.1587941,0.15394889,0.15309973,0.15718557,0.16265531,0.16575672,0.16518609,0.16558832,0.16949373,0.17637055,0.17836893,0.17204529,0.15925336,0.14941424,0.14813712,0.15588039,0.1682473,0.18175155,0.19388963,0.20169048,0.20173176,0.19337784,0.1807781,0.1716695,0.17187779,0.18154001,0.1953929,0.20767961,0.21835268,0.23041888,0.24463768,0.2530315,0.24579044,0.2205378,0.18720199,0.16044289,0.14813994,0.14771976,0.15129268,0.15368915,0.15449362,0.15456545,0.15355454,0.15067387,0.1473155,0.14570743,0.14643602,0.14706236,0.14484884,0.13911861,0.13245422,0.12902446,0.13250886,0.1432889,0.1586966,0.17487343,0.19033736,0.2036358,0.21288693,0.2143157,0.20913334,0.20100445,0.19503145,0.19073598,0.18755151,0.18517931,0.1854223,0.18651445,0.18569024,0.18149798,0.17697142,0.17656809,0.18321078,0.19753164,0.21691251,0.23703866,0.2502087,0.2512339,0.23857415,0.21993339,0.20414144,0.19816226,0.19904755,0.20180492,0.20206422,0.20100452,0.19913717,0.19431478,0.18380481,0.16867773,0.15582001,0.1512134,0.15586193,0.16400973,0.17033817,0.17472768,0.18280737,0.19877057,0.22030818,0.23993099,0.2515198,0.2543262,0.25001594,0.23993081,0.22443052,0.20684798,0.191983,0.1837611,0.18095987,0.18026103,0.17764743,0.17285617,0.1666811,0.16248168,0.16091417,0.16104673,0.15851986,0.15202306,0.14450538,0.14321224,0.15230727,0.1706869,0.19147997,0.20929731,0.22144197,0.23001398,0.23616247,0.23991369,0.23983534,0.23749252,0.23601423,0.23842777,0.24240309,0.24427103,0.24002266,0.23202483,0.22569935,0.22666143,0.2346323,0.24248783,0.24317302,0.2341287,0.22074258,0.2104311,0.20823419,0.21367492,0.22143759,0.22687836,0.2285971,0.23089524,0.23659754,0.24459802,0.2471022,0.2391386,0.22014844,0.19692361,0.17446052,0.15764247,0.14915642,0.15454768,0.17533411,0.20661677,0.23496334,0.24892576,0.24618642,0.23616976,0.2296052,0.23221219,0.24030061,0.24894719,0.25268087,0.25095537,0.24403177,0.23707432,0.23519003,0.23994444,0.24641912,0.24705195,0.2431771,0.24004404,0.24280618,0.24375968,0.23496805,0.21363091,0.19086295,0.17991394,0.1908919,0.22035252,0.2555668,0.27726105,0.27818105,0.26616856,0.26306129,0.28281817,0.32225937,0.3624544,0.38248637,0.37472236,0.34448746,0.31152725,0.29086435,0.29155862,0.30305538,0.3146151,0.3152821,0.30994055,0.30260566,0.2987841,0.29372582,0.28589904,0.2761701,0.2743434,0.28831038,0.31774378,0.35138664,0.37278318,0.37284383,0.35109878,0.31836227,0.2860383,0.2651597,0.2567989,0.25670317,0.25423667,0.24415368,0.22567432,0.20711662,0.19572234,0.1974091,0.2105755,0.23259659,0.25823826,0.2821388,0.29586628,0.29389837,0.2791408,0.26516917,0.26805207,0.29356274,0.33266744,0.36691403,0.3824356,0.37715447,0.36033627,0.3440951,0.33450112,0.3299781,0.32428053,0.31618237,0.3089852,0.30739424,0.30990788,0.31307676,0.31731173,0.3264141,0.339439,0.34841967,0.35076168,0.36024562,0.3951101,0.45890978,0.5288415,0.5798436,0.59858656,0.591387,0.5637953,0.51892716,0.45877758,0.3964822,0.3498293,0.3335091,0.34670952,0.37829527,0.41155553,0.43704978,0.45216203,0.4597862,0.4586719,0.4446163,0.41489056,0.37735713,0.3449137,0.32861206,0.32739866,0.33187136,0.33043864,0.32038692,0.3151791,0.3352746,0.3920057,0.4643406,0.5135684,0.5049429,0.44434467,0.36532465,0.31373987,0.30872658,0.34492126,0.39107636,0.42006937,0.41534355,0.38543662,0.34672877,0.3183683,0.30430648,0.29980952,0.2916168,0.27361223,0.24672602,0.22175644,0.20858896,0.21465552,0.23829329,0.27365813,0.3079753,0.3315072,0.33671758,0.32969716,0.31979677,0.31894863,0.32447442,0.3293537,0.3225368,0.30539086,0.28240764,0.26313826,0.25057647,0.24633415,0.24651815,0.24851163,0.25011966,0.2532159,0.25717464,0.26004967,0.25757334,0.25298154,0.25107005,0.25545752,0.25918317,0.25486314,0.24100365,0.22541744,0.21491843,0.20885228,0.2030052,0.19768421,0.20192473,0.22305219,0.25990286,0.29838213,0.3253275,0.33372843,0.32897547,0.3173306,0.3063363,0.29832926,0.29784727,0.302959,0.31365597,0.3262788,0.34782776,0.3806268,0.42663884,0.4700624,0.49908504,0.5030133,0.4922285,0.47717237,0.46887064,0.4617151,0.45116892,0.43858564,0.44038448,0.46845207,0.5187769,0.5637587,0.576251,0.5453165,0.49018273,0.43901303,0.41345194,0.4165908,0.43949676,0.47015414,0.49032822,0.48776504,0.4563785,0.41144225,0.36919913,0.34236595,0.32950354,0.32774794,0.33493027,0.34840742,0.36438882,0.37692165,0.38275197,0.38081586,0.37745902,0.38396195,0.406108,0.43824816,0.46370617,0.47351167,0.46426752,0.44145927,0.40672946,0.36925015,0.33990845,0.3328714,0.34954536,0.37856007,0.3964659,0.38561475,0.34375477,0.28732714,0.23784773,0.21084674,0.21060024,0.22988795,0.2544358,0.26632395,0.2569645,0.22786178,0.1924951,0.16402332,0.15345778,0.16271216,0.18675803,0.21502115,0.23794453,0.2521244,0.259081,0.2624434,0.26303676,0.2608226,0.25539953,0.24741584,0.23772609,0.22763151,0.21929789,0.21261775,0.20718706,0.204013,0.2106648,0.23234737,0.26338467,0.28431952,0.27851275,0.24963199,0.22309323,0.22606616,0.2638667,0.31481108,0.34587327,0.33689043,0.29189724,0.23559646,0.19415243,0.17977194,0.18395172,0.18863712,0.18204547,0.1661144,0.15212093,0.14903168,0.15973973,0.18176264,0.21327077,0.25104782,0.28969944,0.3149083,0.3151516,0.28584293,0.24210529,0.20267446,0.18284006,0.17990178,0.18333526,0.18194635,0.1737501,0.16192174,0.14982735,0.13825755,0.1297726,0.13147235,0.1499943,0.18335085,0.21736848,0.23461711,0.22555041,0.19503643,0.15844323,0.1325314,0.12846954,0.1473707,0.1809661,0.21438788,0.23339431,0.23335737,0.22131877,0.21024902,0.20639558,0.20565999,0.19895566,0.18255104,0.16242018,0.14805438,0.14447886,0.14719504,0.1489616,0.14708704,0.14653595,0.15351199,0.17042182,0.19351755,0.21608019,0.22902794,0.22684026,0.20980875,0.186426,0.1660657,0.15450613,0.15225643,0.15851937,0.17188585,0.18947707,0.20479137,0.21235824,0.20978987,0.20149465,0.19246234,0.18745653,0.18623924,0.18743692,0.18765898,0.18612285,0.18383367,0.18343125,0.18377413,0.1796361,0.16537268,0.14286293,0.12168091,0.113597535,0.12141615,0.13788134,0.14931835,0.14861207,0.1375531,0.12640774,0.1224614,0.12771706,0.13727926,0.14603575,0.14969188,0.14647746,0.1361898,0.12189779,0.109879024,0.10669065,0.11348196,0.123547904,0.12651485,0.11706234,0.09968487,0.08465385,0.08048156,0.087857746,0.10275912,0.118110776,0.129592,0.13425462,0.13358863,0.12935583,0.12330311,0.11568662,0.10776106,0.10238469,0.10128903,0.104279816,0.1094689,0.11673119,0.124741614,0.13064553,0.1288328,0.118739516,0.10477799,0.09633148,0.0979935,0.107820205,0.11688164,0.11753798,0.10845294,0.09531689,0.08557392,0.08312928,0.08849495,0.10031367,0.11680087,0.13315159,0.14288355,0.14051336,0.12758271,0.11170111,0.103095,0.106950015,0.12175002,0.1411487,0.15944602,0.17441742,0.18476976,0.18901987,0.18412066,0.17211191,0.15841039,0.15054883,0.1493312,0.15052025,0.14814477,0.14056261,0.12973325,0.11911538,0.11176417,0.11049508,0.11549569,0.12395209,0.13041465,0.13202171,0.12946981,0.12678646,0.12761535,0.13452095,0.14680082,0.16076721,0.16949438,0.1682354,0.15720421,0.14236493,0.12966968,0.1210509,0.11463126,0.10816892,0.101814635,0.097498775,0.09704753,0.101380914,0.108439304,0.11608708,0.12214428,0.13014793,0.14348364,0.16380054,0.18420549,0.19642742,0.19534673,0.18302019,0.16528566,0.14675392,0.13184771,0.122415185,0.120768845,0.1266803,0.14142667,0.1645502,0.1903583,0.20698422,0.20216666,0.17760395,0.14628954,0.12611742,0.12077292,0.12379321,0.12297996,0.11650545,0.1092244,0.110143095,0.119889714,0.13303249,0.13943364,0.1356504,0.124992676,0.11764877,0.120352425,0.13342965,0.14818291,0.15516835,0.14877518,0.13328706,0.11704051,0.10844428,0.1077713,0.11096873,0.11307756,0.11572806,0.123369716,0.13797237,0.15339865,0.16087161,0.15637432,0.1446304,0.13315974,0.12661204,0.1251005,0.12848035,0.13845819,0.15667422,0.18220854,0.20847489,0.22734945,0.23113608,0.22025073,0.20116864,0.18468404,0.17755587,0.18087186,0.18983819,0.19764785,0.1980676,0.18913949,0.17399876,0.15983899,0.15202768,0.15123995,0.15236813,0.14983922,0.14049195,0.12710896,0.11592197,0.114758104,0.12707281,0.14975847,0.1729756,0.18714584,0.18965894,0.18684693,0.18812035,0.1982845,0.21496023,0.23152179,0.24161913,0.24226278,0.23437674,0.22238635,0.2116195,0.20557196,0.20369148,0.20161843,0.19419844,0.1800461,0.16280015,0.14898819,0.14214192,0.14323299,0.15217668,0.17025377,0.19461022,0.21682937,0.22741558,0.22614409,0.22098815,0.21883696,0.217743,0.2134514,0.20914243,0.21259427,0.22600491,0.2385851,0.23797673,0.21935426,0.19039328,0.16138418,0.14162946,0.1360264,0.14665425,0.16810845,0.18879904,0.19671203,0.19080602,0.18243106,0.18548913,0.2034313,0.22580051,0.23887098,0.23488484,0.2165801,0.19003993,0.16352355,0.14394401,0.13857102,0.14702101,0.16197182,0.17121173,0.17032762,0.1630824,0.15791285,0.15862177,0.16564943,0.17825282,0.1956354,0.21387647,0.22857024,0.23858802,0.24870807,0.26137206,0.27514574,0.2859361,0.29733786,0.3159523,0.34492722,0.37542602,0.39585602,0.40029767,0.39372098,0.38546562,0.38186947,0.38396463,0.38496327,0.37814626,0.3599085,0.33820382,0.32495812,0.3281828,0.34660864,0.3711473,0.39433494,0.4074527,0.40579626,0.3848,0.3490642,0.3062162,0.26530305,0.2288873,0.19821216,0.17574178,0.16638996,0.17062432,0.18229456,0.19247572,0.19774401,0.20074093,0.20537771,0.21029066,0.21217929,0.21021847,0.20889105,0.21100302,0.21341968,0.20840633,0.19299574,0.17357332,0.16255139,0.16822219,0.19010116,0.2203654,0.25146934,0.2782118,0.29731488,0.30480742,0.29880074,0.28309402,0.26523402,0.25087848,0.23983423,0.23091769,0.2270111,0.23243122,0.24629863,0.25981617,0.2644209,0.25903675,0.24964696,0.24199115,0.2354356,0.22634725,0.21196955,0.19491333,0.17896573,0.16893852,0.16643079,0.17300195,0.18721475,0.21120782,0.24586433,0.29182324,0.33649978,0.36329302,0.35756874,0.3257045,0.2861497,0.25859693,0.24743514,0.24557,0.24368846,0.23799057,0.22981995,0.22280937,0.22134809,0.2291152,0.24370067,0.257548,0.2620491,0.2587128,0.25443766,0.2555544,0.25641307,0.24869241,0.22706044,0.19807132,0.17200358,0.15865418,0.15945172,0.16844212,0.17548656,0.17396396,0.16466932,0.15462591,0.15226357,0.1640868,0.18995535,0.22136496,0.24367781,0.24682665,0.23248231,0.21150158,0.19413275,0.18362516,0.17811646,0.17445551,0.17055434,0.16557689,0.16062121,0.15832216,0.16218276,0.17350127,0.19032896,0.20512503,0.21103579,0.20685287,0.20295249,0.21097066,0.23480374,0.2635655,0.281942,0.2797321,0.25856224,0.22963275,0.20689404,0.20092551,0.21075518,0.22896124,0.24696381,0.2655212,0.285831,0.30450204,0.30853513,0.29087523,0.25468472,0.21450049,0.18013763,0.1564625,0.14326203,0.14538758,0.16702838,0.20782287,0.2558497,0.29463527,0.31032607,0.30057886,0.27244565,0.23859292,0.20789434,0.18416624,0.16629578,0.15475266,0.15231085,0.16224432,0.18443768,0.21357186,0.24305725,0.265641,0.27666035,0.27103356,0.25023898,0.2221474,0.20132826,0.19568776,0.20192683,0.20757814,0.20319407,0.18932498,0.17563416,0.17284644,0.1836425,0.19941421,0.20753951,0.20389403,0.19820575,0.20402639,0.22395599,0.24665761,0.25854734,0.25766423,0.25150615,0.2492714,0.2496411,0.24772345,0.23668016,0.22030437,0.20401298,0.19488424,0.19073023,0.18794437,0.18406618,0.18284898,0.18999837,0.20747654,0.23034203,0.24775684,0.25130564,0.24486987,0.2429757,0.25909486,0.28651127,0.3054056,0.2985904,0.2765237,0.26247156,0.2746111,0.2994087,0.31255138,0.2977073,0.27115545,0.25828335,0.27181947,0.29363358,0.29786614,0.27559552,0.24354993,0.22641438,0.23489976,0.26169428,0.28742394,0.2952567,0.27833298,0.24478346,0.21022601,0.1882311,0.18266867,0.18931259,0.20049293,0.20925297,0.21223664,0.20986842,0.20458095,0.19756205,0.18906665,0.1810997,0.17783606,0.1824495,0.1926884,0.20152144,0.20195168,0.19217588,0.17679338,0.16270281,0.15549146,0.15590686,0.16168201,0.16819708,0.173204,0.17687833,0.18259053,0.19251412,0.20733823,0.22405255,0.24047768,0.25535086,0.27386406,0.2978967,0.32407546,0.33715186,0.32747486,0.29539683,0.2569855,0.22850032,0.22252221,0.23860687,0.2658131,0.28500378,0.284079,0.26696423,0.2517383,0.25524822,0.2800149,0.31308255,0.33687803,0.34066448,0.32675076,0.30412066,0.28248546,0.26445618,0.24772663,0.22640614,0.19856374,0.16826348,0.14540975,0.13884127,0.1513653,0.17973821,0.21427922,0.24347878,0.25387722,0.24217135,0.21384846,0.18394727,0.1621948,0.1523214,0.15175767,0.15855992,0.17107701,0.18597399,0.19843918,0.20397143,0.20309305,0.20218782,0.21121311,0.23765995,0.2760253,0.31028473,0.31889647,0.29629806,0.25114867,0.2056794,0.17458032,0.16575049,0.17406243,0.19112839,0.20412655,0.20660365,0.19822891,0.18739492,0.18277402,0.19067319,0.21046571,0.23409607,0.24829179,0.2416016,0.21473615,0.18113077,0.15923308,0.15859379,0.17450167,0.19306655,0.2015116,0.19871382,0.19423366,0.20256461,0.2278521,0.2601721,0.27901214,0.2711943,0.24047452,0.20835072,0.19805877,0.22143666,0.26901066,0.32147375,0.3595406,0.38107672,0.3921549,0.4003258,0.40028152,0.3817259,0.34227446,0.29411924,0.25892517,0.24779983,0.25587854,0.26381716,0.25555542,0.228099,0.19397725,0.17025928,0.16768958,0.18186587,0.20028073,0.20959486,0.2100134,0.20759211,0.20945127,0.21058322,0.20418914,0.18858498,0.17507903,0.17839698,0.20317249,0.24008976,0.27030787,0.28378952,0.27837586,0.26059756,0.23353212,0.20340322,0.1763255,0.1588821,0.15142097,0.15142873,0.15652126,0.16630886,0.17897315,0.19098806,0.19766945,0.19775432,0.19205214,0.18391758,0.17429392,0.16482069,0.1564574,0.1536812,0.15941693,0.17717613,0.20585454,0.24106078,0.27079788,0.28275967,0.27172315,0.24528874,0.21731277,0.19700365,0.18531518,0.17856507,0.17452924,0.17352943,0.17679782,0.18653125,0.20275564,0.22416697,0.2435,0.2556311,0.25694403,0.25370666,0.25138238,0.25624216,0.26699498,0.28406695,0.30591542,0.33041492,0.34828186,0.34807122,0.32529926,0.28734013,0.24930483,0.22102374,0.20397878,0.19366948,0.18679033,0.18229847,0.18021107,0.18106453,0.1844454,0.18931012,0.19277251,0.1934983,0.19228667,0.19285826,0.19766738,0.20736183,0.22041206,0.23792827,0.26082602,0.2896779,0.31706962,0.3372064,0.346349,0.35287514,0.36107147,0.369974,0.36616626,0.34341252,0.30611864,0.27182096,0.2534548,0.2526724,0.25799787,0.25689793,0.24534048,0.2311111,0.22507386,0.23234735,0.24835837,0.26769137,0.2854677,0.30092254,0.30926278,0.30876127,0.29841653,0.28381547,0.26980957,0.26182476,0.26102698,0.2647487,0.26662853,0.2627848,0.25669405,0.25584605,0.26464412,0.2803525,0.2996675,0.32068428,0.342577,0.35703954,0.35721037,0.34044027,0.31929922,0.30772576,0.31990555,0.35582992,0.4080135,0.45760694,0.4888649,0.49049926,0.46608552,0.42568752,0.38459337,0.35011375,0.32361993,0.30053803,0.28069642,0.26967588,0.2730943,0.29020616,0.30747876,0.31187296,0.29525998,0.26696795,0.24037476,0.22970355,0.23691493,0.25853482,0.28427517,0.3048211,0.3115841,0.30577588,0.2937502,0.28426123,0.2776346,0.2738259,0.2732927,0.28095356,0.2965332,0.31783894,0.3414578,0.36371604,0.37659243,0.3708953,0.34616175,0.31179523,0.2790883,0.25329342,0.23800094,0.24310844,0.27766168,0.33600375,0.39067551,0.41303778,0.39420196,0.35237172,0.31414828,0.29964364,0.31369114,0.34781393,0.38035762,0.38938284,0.36777857,0.33167163,0.30461895,0.29741916,0.3012255,0.30215988,0.29496893,0.28533244,0.27795148,0.27258384,0.264111,0.2517983,0.23791558,0.22706163,0.2184947,0.2084861,0.192312,0.17176034,0.15239193,0.14011864,0.13469064,0.13221927,0.12861742,0.12375674,0.12077222,0.12321336,0.13152611,0.14218204,0.14987832,0.1530431,0.15429096,0.15852183,0.16646622,0.17537814,0.18151955,0.18398708,0.18364926,0.18008347,0.17246984,0.16142225,0.15221022,0.14988728,0.1560374,0.16543512,0.17153423,0.16958268,0.15991582,0.14610282,0.13436334,0.13054135,0.13779551,0.15282969,0.16789718,0.1729551,0.16350503,0.14198548,0.11933101,0.1076622,0.11283648,0.1296999,0.1447647,0.14845778,0.14053571,0.13015643,0.124970086,0.12686741,0.13192286,0.1347404,0.13147727,0.121472515,0.10948298,0.10355278,0.10920212,0.12358967,0.13706237,0.1421474,0.13936786,0.1343023,0.12987413,0.12367013,0.11389492,0.10287148,0.09720332,0.10033498,0.11181591,0.12539877,0.13582927,0.13824618,0.13383318,0.124419,0.115779795,0.11092359,0.11333432,0.121287756,0.13188376,0.14048384,0.14518976,0.1469534,0.14816625,0.15047127,0.15234546,0.15080692,0.14433621,0.13448535,0.12571016,0.12047317,0.11891794,0.11736378,0.113497,0.107637204,0.10431436,0.10700011,0.1151916,0.12389258,0.12953332,0.13186733,0.13285422,0.13162059,0.1260125,0.11573834,0.10605452,0.10455353,0.11835172,0.14832826,0.19041449,0.2318664,0.2600833,0.26333517,0.24329726,0.20823967,0.17254718,0.14390936,0.1251442,0.11399058,0.10746599,0.10256814,0.09659156,0.089212365,0.08161538,0.07606482,0.07312683,0.072210856,0.07238734,0.0744116,0.08039079,0.091302775,0.10487792,0.116213776,0.12252303,0.124437116,0.124867015,0.1246733,0.12454563,0.126352,0.13381706,0.1465277,0.15832643,0.16003881,0.14850426,0.1296393,0.115444444,0.11498917,0.12866913,0.14879411,0.16354889,0.16477424,0.15029804,0.12835605,0.11021701,0.10583601,0.11299976,0.12239941,0.12265938,0.112552404,0.09855536,0.09097422,0.09491921,0.110380866,0.13258511,0.15564223,0.17335795,0.18248008,0.18261184,0.1775782,0.17241459,0.17452584,0.18730856,0.20911904,0.22741233,0.23024678,0.21197283,0.18329252,0.15853141,0.14712946,0.14476995,0.14335662,0.13969219,0.1378442,0.14222945,0.150551,0.15755622,0.15921818,0.15791856,0.15632056,0.1567276,0.15725394,0.1572342,0.15502523,0.15075459,0.14404829,0.13630807,0.12922554,0.12342786,0.11822719,0.11210913,0.10544163,0.09935819,0.095676385,0.09495273,0.09702123,0.10062357,0.104599185,0.108477145,0.11259811,0.11631947,0.11702489,0.11218841,0.10250761,0.092912145,0.08839688,0.09035755,0.09519682,0.0981819,0.096749656,0.09271846,0.09054067,0.09485566,0.10758398,0.12677157,0.14654148,0.15914637,0.15845834,0.14395486,0.12206322,0.10335425,0.0969286,0.10523141,0.123247184,0.1411018,0.15008606,0.14595532,0.13083632,0.10994173,0.08963323,0.07453802,0.06763159,0.06954903,0.078057505,0.08856714,0.0954592,0.09608514,0.09131638,0.08524734,0.08142314,0.08231807,0.08779953,0.09616458,0.103303514,0.1060029,0.10290388,0.09655908,0.09030501,0.0873608,0.08818403,0.092284806,0.09741387,0.10229329,0.10479077,0.1045843,0.101227425,0.09648857,0.09175249,0.088689186,0.08760417,0.08882457,0.09262221,0.09971791,0.10931989,0.11968833,0.12841511,0.13560851,0.1413887,0.14475854,0.14242041,0.13370235,0.122959055,0.11683404,0.11889961,0.12665533,0.13567014,0.14341508,0.14963837,0.15330748,0.15058644,0.13934797,0.121379785,0.10329762,0.090618365,0.08598304,0.08786579,0.09331774,0.09892712,0.10289505,0.10512292,0.106467,0.10728524,0.10649842,0.10343789,0.098540455,0.09477774,0.09442282,0.097082615,0.098587155,0.09485752,0.08655119,0.079379976,0.08108062,0.094530284,0.1164515,0.13797109,0.15197225,0.15567765,0.15181784,0.1432349,0.13183677,0.11897338,0.10803982,0.103292815,0.10664629,0.11625751,0.12682438,0.13291013,0.1304369,0.11914861,0.10257763,0.087582976,0.08139768,0.087409824,0.10331464,0.12264196,0.14130956,0.1595195,0.17817448,0.19313039,0.19661635,0.18605764,0.16716671,0.15072174,0.1427266,0.14384963,0.15106612,0.16251202,0.17572765,0.18603939,0.18723905,0.17610718,0.15709408,0.13977736,0.13233541,0.13465096,0.13923155,0.13756143,0.12745161,0.11475843,0.109093934,0.11651522,0.13541934,0.15755238,0.17310648,0.17590882,0.16579078,0.14841606,0.13179606,0.12201449,0.12022687,0.1230847,0.12721227,0.13014662,0.13133208,0.12820862,0.11999282,0.10836024,0.10128427,0.10631699,0.12577406,0.15193652,0.17283249,0.18036135,0.17535691,0.16587897,0.15958072,0.15990324,0.16328146,0.16321944,0.15368238,0.13474426,0.112265535,0.093735605,0.08292028,0.07880828,0.07925114,0.082351595,0.08633975,0.08770462,0.08411479,0.07584507,0.0666031,0.059647027,0.056357067,0.055227235,0.054198977,0.05145264,0.04685107,0.041058544,0.035384152,0.030542403,0.026885414,0.024130357,0.02191239,0.019816002,0.01775358,0.015863044,0.014357162,0.013226837,0.012250421,0.011148751,0.009775219,0.008147287,0.006385707,0.0046625556,0.0031661952,0.0021034896,0.0016437577]