[0.0957211,0.095208086,0.09209943,0.084059395,0.07245007,0.060698956,0.05168818,0.044198155,0.03687207,0.031011337,0.03249404,0.045606542,0.06939725,0.097117685,0.12181302,0.13949639,0.14890343,0.15006721,0.14461155,0.13504304,0.12393534,0.11044446,0.09504124,0.078342795,0.06529045,0.05725674,0.0551894,0.05566858,0.05768172,0.059422176,0.061269406,0.062135827,0.062693916,0.06462277,0.07098744,0.08205574,0.09406799,0.1012621,0.10022128,0.09132559,0.07715567,0.060407624,0.043686304,0.029483154,0.020008972,0.016440177,0.018707106,0.025107017,0.0330752,0.04046664,0.04749961,0.055266052,0.0640457,0.07134826,0.07463124,0.07355244,0.07024982,0.06723383,0.064279556,0.06045055,0.054585528,0.048468787,0.0437853,0.04169439,0.041034106,0.040640224,0.040316503,0.040688302,0.04200251,0.044274297,0.047618072,0.052023094,0.055925738,0.057915803,0.058317278,0.05877197,0.059239995,0.057257224,0.05254078,0.048579637,0.05043735,0.057824183,0.06571927,0.06850532,0.06562641,0.06047077,0.056794345,0.055724625,0.05575167,0.05459479,0.05070458,0.04416749,0.036622193,0.030058153,0.026088895,0.024563909,0.024174683,0.022788433,0.019801054,0.017151853,0.019273343,0.029863754,0.04846536,0.06962859,0.08612097,0.093536,0.091942914,0.08454128,0.07467783,0.06492682,0.056680188,0.051316705,0.049380284,0.05083337,0.05367987,0.05568411,0.055069968,0.052290082,0.049028635,0.047243807,0.048156362,0.05178678,0.057096213,0.06180513,0.06356365,0.06085122,0.053900912,0.044087287,0.03343484,0.024629598,0.021449022,0.027699,0.043821424,0.06471302,0.08148458,0.08915272,0.09047385,0.094115295,0.104024924,0.116188966,0.121105455,0.114722826,0.10044003,0.08635798,0.07722482,0.07286299,0.07020846,0.06678012,0.062216017,0.05710359,0.052793786,0.049993873,0.049061563,0.04924807,0.04916582,0.04713051,0.04224463,0.03571624,0.031123444,0.0317837,0.038295835,0.046892185,0.0537862,0.05745517,0.060233008,0.06464409,0.07117168,0.07824627,0.082589984,0.08221028,0.07603125,0.06682669,0.05801781,0.05289249,0.051548224,0.053017702,0.056293007,0.060482237,0.06405812,0.064396985,0.060044665,0.05084267,0.03903174,0.027708424,0.021401206,0.02425898,0.038270224,0.060123783,0.08113894,0.09195298,0.08884212,0.076625384,0.064102374,0.05727962,0.05637753,0.057903375,0.05909213,0.058582608,0.05655004,0.052853048,0.048254892,0.044084568,0.042068467,0.04299103,0.045534816,0.04813372,0.049057275,0.048870742,0.047896747,0.047361124,0.04709883,0.04722881,0.04674576,0.044881184,0.04135664,0.03762454,0.036198247,0.038543373,0.043569893,0.04800502,0.04899687,0.0459109,0.04010027,0.03339467,0.026903799,0.021287808,0.017382544,0.016569315,0.020140296,0.028243626,0.039382648,0.05126549,0.061660808,0.06918193,0.072414465,0.07067039,0.06389537,0.05420513,0.044875294,0.039797623,0.040606078,0.045765165,0.05096,0.053023893,0.051864903,0.049711883,0.047301505,0.04384279,0.039298326,0.03740221,0.042139452,0.053758044,0.06591663,0.071782745,0.06858622,0.060129315,0.051275533,0.044740304,0.040423185,0.037558194,0.035643224,0.03337806,0.029903555,0.0255131,0.023076778,0.025293998,0.03306648,0.043507423,0.052339215,0.0559787,0.054390203,0.04990104,0.045208577,0.041423246,0.038198266,0.035612475,0.034055665,0.03498688,0.038836196,0.045644436,0.053247344,0.05919571,0.061114162,0.059298217,0.055508584,0.052399736,0.050921246,0.051216718,0.05219817,0.053224996,0.05332912,0.052608762,0.052021254,0.05305557,0.055718858,0.057498112,0.05511586,0.047315773,0.036983136,0.0294586,0.02872353,0.034456026,0.042583425,0.049392026,0.05364637,0.056191225,0.05693802,0.05522796,0.050606307,0.044732828,0.039130762,0.03509521,0.032038644,0.029951805,0.02882134,0.02975376,0.032520648,0.03567798,0.03676502,0.035452366,0.033953067,0.03539094,0.04059499,0.047149673,0.051606197,0.052189484,0.051647443,0.055833038,0.06909007,0.08852688,0.10434145,0.10813459,0.100079454,0.0883247,0.08010552,0.07591521,0.071033545,0.061846454,0.049592827,0.03962691,0.036321204,0.039814267,0.04508933,0.04789941,0.048494164,0.051742535,0.060753748,0.073081836,0.08314652,0.087397255,0.08694308,0.084277175,0.080479674,0.07468602,0.06677497,0.058485765,0.052870918,0.051337224,0.052564252,0.052833494,0.04941844,0.042252213,0.03374576,0.02675879,0.022567017,0.02167753,0.024235418,0.0324538,0.047113735,0.06616281,0.081655554,0.086596645,0.07830932,0.061743144,0.04376353,0.031707548,0.032550674,0.05361076,0.09697956,0.15290318,0.20044535,0.21961944,0.20656735,0.17768355,0.15716414,0.1599055,0.18245864,0.21062893,0.23086931,0.2386818,0.2361695,0.22733879,0.21386819,0.19486852,0.16887517,0.13612205,0.10032637,0.06791866,0.046457704,0.04141517,0.054085057,0.07988358,0.11065984,0.13762121,0.15556544,0.16264126,0.16093765,0.15392889,0.14667626,0.14183934,0.13930528,0.13534303,0.12632038,0.110563405,0.08927482,0.066023685,0.04620397,0.03695147,0.04491703,0.072372,0.1142396,0.15853225,0.19233029,0.2062863,0.19936025,0.17751287,0.15328828,0.13864453,0.13904871,0.14933403,0.15805684,0.15758206,0.14718519,0.13325171,0.11964247,0.108003534,0.09526313,0.08026404,0.064029746,0.052220087,0.050434332,0.06058382,0.07937861,0.10198613,0.12521361,0.14682816,0.16349928,0.17132342,0.16904037,0.15933967,0.14749512,0.13703032,0.12819932,0.118748255,0.10986463,0.10661019,0.11494112,0.13187152,0.14679508,0.1463586,0.12730362,0.09667522,0.06984053,0.060623854,0.077004194,0.1164005,0.16572113,0.20586765,0.22166352,0.21051358,0.18218917,0.1496114,0.12086702,0.09695081,0.076861806,0.060570125,0.050869107,0.050678935,0.060862202,0.07802402,0.09566977,0.10706679,0.10802428,0.09826398,0.080781445,0.060848903,0.045279693,0.042005718,0.057647716,0.09223985,0.13621819,0.17482285,0.19857241,0.20832686,0.21058184,0.20676737,0.19280756,0.16588987,0.1341165,0.11181155,0.10877591,0.121871315,0.13856119,0.14911576,0.15007688,0.14368366,0.12905754,0.107106954,0.083014406,0.070942976,0.08141019,0.11472992,0.1549794,0.18464468,0.18999167,0.17326963,0.14474677,0.12380961,0.121447556,0.13853069,0.16052206,0.17481573,0.17549872,0.1662938,0.15039486,0.13006273,0.10930965,0.095113374,0.093340695,0.10282474,0.11770934,0.13195235,0.14316928,0.15169805,0.15733339,0.1600219,0.15813987,0.1513421,0.1382618,0.12184257,0.10735393,0.103953905,0.116299994,0.14484306,0.18215835,0.218998,0.24389398,0.25040442,0.23700942,0.20934409,0.17393768,0.13803574,0.10802058,0.0917807,0.093177505,0.11096027,0.13824686,0.16981141,0.20120548,0.22794598,0.24221945,0.23849952,0.21663135,0.18326378,0.14881425,0.12408778,0.11686983,0.12668014,0.14526512,0.16013412,0.16260278,0.1509401,0.1308717,0.11170522,0.10245458,0.10655865,0.122295044,0.1435616,0.16540234,0.18245791,0.19049661,0.18593435,0.16957696,0.14835481,0.13239108,0.13199033,0.14836128,0.17298935,0.18907546,0.18623234,0.1667062,0.14283322,0.1243849,0.11247212,0.10437483,0.09923607,0.099590756,0.10508039,0.111913055,0.11415883,0.11181345,0.10962803,0.115555644,0.13044317,0.1494999,0.16318671,0.16800262,0.16456081,0.15786666,0.15000437,0.14280681,0.1368157,0.13250673,0.1285944,0.12463858,0.12361181,0.1313001,0.14940743,0.1730087,0.19097178,0.19619046,0.18746825,0.1709677,0.1526341,0.13632168,0.123162575,0.1127437,0.10554743,0.10232068,0.10786607,0.12634814,0.15918157,0.19971204,0.23819347,0.26678085,0.28141096,0.28263542,0.27062663,0.2492702,0.22014217,0.18868001,0.15897734,0.1386997,0.13159592,0.13800932,0.15164106,0.1627739,0.16312747,0.15127899,0.13811,0.13750517,0.1574366,0.18792622,0.21328568,0.2208909,0.21305113,0.19644262,0.17956682,0.16905628,0.17311458,0.19613759,0.22940159,0.2562041,0.26034442,0.24419093,0.21789654,0.19441597,0.17358427,0.15452658,0.13381436,0.11377123,0.093724065,0.07703792,0.069602646,0.08034978,0.11341095,0.16128889,0.20871396,0.23717695,0.24070679,0.22516912,0.20816869,0.19947517,0.20011465,0.19959123,0.19358607,0.1799408,0.16338412,0.14276014,0.12030399,0.096439235,0.07697695,0.06368319,0.05672769,0.051974256,0.048238575,0.048728134,0.06102557,0.08822528,0.1254966,0.15974773,0.1822381,0.191185,0.19233179,0.18682261,0.17303668,0.1516027,0.13361305,0.13049841,0.14151855,0.14947392,0.13950124,0.11390129,0.09250123,0.09011739,0.10407867,0.1174064,0.11990517,0.11609138,0.11922587,0.13305764,0.14822496,0.14978941,0.1328309,0.105622254,0.08368457,0.077697754,0.08776486,0.10410252,0.11398142,0.10843543,0.08759922,0.059606116,0.03652048,0.028249463,0.040270038,0.072378546,0.11691121,0.15932585,0.18392332,0.18583935,0.17392923,0.1643447,0.16531804,0.17370492,0.17964585,0.176804,0.16623557,0.15420501,0.14835568,0.15016848,0.15375525,0.14784181,0.12735222,0.098998785,0.07869798,0.07917613,0.10029084,0.12915842,0.14904736,0.1508891,0.13740836,0.12008113,0.108206265,0.104593515,0.105554074,0.11056134,0.121813245,0.14149615,0.16238257,0.17236663,0.16322745,0.14150098,0.12463466,0.12769519,0.15157688,0.1836371,0.21018118,0.22452746,0.22765951,0.22202803,0.20964195,0.19312227,0.17524256,0.15976353,0.14855732,0.14376324,0.14298575,0.14222851,0.13674353,0.12846562,0.12230194,0.122789316,0.12808378,0.1362167,0.14621995,0.15920943,0.17060573,0.17397583,0.16569322,0.15160877,0.1403365,0.13594802,0.13537796,0.13437271,0.13371663,0.13648844,0.14491378,0.15591902,0.16656661,0.1734013,0.17653196,0.17420787,0.16696304,0.15356447,0.13661873,0.1191628,0.107863575,0.10609895,0.11280463,0.1205662,0.12363574,0.12061816,0.11552561,0.11215631,0.114234805,0.12339123,0.13860351,0.1544715,0.1651339,0.16834645,0.16598816,0.16315283,0.16773336,0.19024925,0.23305857,0.28402773,0.31863797,0.32256514,0.30078867,0.2747287,0.25996855,0.25995132,0.2665585,0.27180478,0.27052596,0.2619489,0.24926579,0.23896557,0.23907812,0.25142586,0.26904982,0.2779726,0.26910794,0.24527214,0.2180566,0.19681595,0.17959547,0.15965839,0.13421594,0.11360512,0.112595946,0.14125703,0.1942343,0.25453466,0.30034125,0.31743336,0.3033942,0.26986971,0.23207802,0.20381908,0.1881847,0.1825595,0.17816508,0.16879521,0.1526276,0.1359425,0.12781972,0.13261853,0.1465009,0.15812443,0.15848146,0.1447135,0.12548597,0.11184669,0.112197846,0.12364668,0.13903694,0.14963977,0.15169835,0.1427607,0.12554865,0.10628294,0.096006446,0.10163329,0.12445656,0.15723246,0.19376327,0.22793595,0.25739518,0.2749325,0.27504376,0.254881,0.22138081,0.18429232,0.15232788,0.13012515,0.119251125,0.11834241,0.12142384,0.1220718,0.11638698,0.105683096,0.092173316,0.07807245,0.06458987,0.05365053,0.047042336,0.047711704,0.060486883,0.09006307,0.13525774,0.18539047,0.2248648,0.24396783,0.24529791,0.24179442,0.24352784,0.25213838,0.2584277,0.2581369,0.25214225,0.24952321,0.24972676,0.2482822,0.23773986,0.22135349,0.20591663,0.19667773,0.19295551,0.1917897,0.1926912,0.19416668,0.19241923,0.18007183,0.15502682,0.1262289,0.11330501,0.13182528,0.17971091,0.2351033,0.27357957,0.28405413,0.27362075,0.25520024,0.23719366,0.21954376,0.20107098,0.18285204,0.17063583,0.16808803,0.17573357,0.18700157,0.19278549,0.18585692,0.16731448,0.14781101,0.13681091,0.13695593,0.13996051,0.14052923,0.13766472,0.13642998,0.13864854,0.14579122,0.15791015,0.17277156,0.18134844,0.17360662,0.14950486,0.122751415,0.11193999,0.123506874,0.14972623,0.17249262,0.18016662,0.16914767,0.14834432,0.12824805,0.11855949,0.121476136,0.13554122,0.1558898,0.17826791,0.19891924,0.21772774,0.2324035,0.23812114,0.2279607,0.20717682,0.19211191,0.20173053,0.23601325,0.27794334,0.30260637,0.29963163,0.275853,0.2527649,0.24755205,0.261433,0.2789894,0.2818265,0.264754,0.23467098,0.20415358,0.17872511,0.15873335,0.14112486,0.12763697,0.12494559,0.13981397,0.17032479,0.20186591,0.21647717,0.20467602,0.1750599,0.14771874,0.14255434,0.16533072,0.20657413,0.24727201,0.27111402,0.2706691,0.25091708,0.22326718,0.20048194,0.18823558,0.1870537,0.19215406,0.19697209,0.1935796,0.17945828,0.16646308,0.1743169,0.21706207,0.2816296,0.3391439,0.35958585,0.33686635,0.2814279,0.21527122,0.15685917,0.12231503,0.1179656,0.13959984,0.17177348,0.19884719,0.21202405,0.21270068,0.20638056,0.2019581,0.20527029,0.21895032,0.2354035,0.24671762,0.24746068,0.24257283,0.2362836,0.23033597,0.22004054,0.20293479,0.17852704,0.15115477,0.12708344,0.117138654,0.12892704,0.16116124,0.19993953,0.22932832,0.2413277,0.23607272,0.21843582,0.1946602,0.17643292,0.17392878,0.19006224,0.21653579,0.24176995,0.25679174,0.2579899,0.2466193,0.2282658,0.2101198,0.19797134,0.19436179,0.19960701,0.21101631,0.2226399,0.22607864,0.21360345,0.18363081,0.14195727,0.103443064,0.08397492,0.097058035,0.14277714,0.20910458,0.2714075,0.3086302,0.3111192,0.2862098,0.24799328,0.20910804,0.17666717,0.15172814,0.13258478,0.11516556,0.09859415,0.08413171,0.073481016,0.06536195,0.05733688,0.051290754,0.051921237,0.06206279,0.076828726,0.08844182,0.09389681,0.096526735,0.10148101,0.1084522,0.114585005,0.116743155,0.11736541,0.12158189,0.1345435,0.15362208,0.16821437,0.16639672,0.14539647,0.11434167,0.08766932,0.076610036,0.08515328,0.10846903,0.13545692,0.15212703,0.15128823,0.13459556,0.11339087,0.099487774,0.10334101,0.12644334,0.16253512,0.19693111,0.21768601,0.22251113,0.21867712,0.2155801,0.21585895,0.21895207,0.2220907,0.22392213,0.22152513,0.21211028,0.19728123,0.18027742,0.16503428,0.14900364,0.13076161,0.111225285,0.09713406,0.09373351,0.100521624,0.112633765,0.12353695,0.13107313,0.13327187,0.1302061,0.12025344,0.10491993,0.08661527,0.07051492,0.06111096,0.06213246,0.072482474,0.08813858,0.10317237,0.116156936,0.12753828,0.13912688,0.14766425,0.14928108,0.1399266,0.12243602,0.10282373,0.089137614,0.08384359,0.08434091,0.084711246,0.08042175,0.07118662,0.059967224,0.052901637,0.054102927,0.06560439,0.08503998,0.10983751,0.13554774,0.15763856,0.17034797,0.17133583,0.16044296,0.14144124,0.1188465,0.10135443,0.09578716,0.10495014,0.12080216,0.13253711,0.13128924,0.117874205,0.09778165,0.07920154,0.06816797,0.06886163,0.08053865,0.098093145,0.1130356,0.12056437,0.120147824,0.11673695,0.111762226,0.10531873,0.09501245,0.08541578,0.08403651,0.09697458,0.12009481,0.14159323,0.15090144,0.14637585,0.13422015,0.12234216,0.11312088,0.105341874,0.09606841,0.08849492,0.088242315,0.09970674,0.11732364,0.12928247,0.1257884,0.10772983,0.08625096,0.073012404,0.073665775,0.083899714,0.0974617,0.10863006,0.116909735,0.1210118,0.12064078,0.11522127,0.1082319,0.102147855,0.09713734,0.08913533,0.07678439,0.062211413,0.05129994,0.046184134,0.04670362,0.051367447,0.064855374,0.092147894,0.13284971,0.1755815,0.20794152,0.22667487,0.23859699,0.2513387,0.26589334,0.27688497,0.2781097,0.2660695,0.2472309,0.23546635,0.24600919,0.27839932,0.3178899,0.34243277,0.3436385,0.32454053,0.29960516,0.27648914,0.26018128,0.24767871,0.23752914,0.22545205,0.20842297,0.18845004,0.17373113,0.17562224,0.1954575,0.22614835,0.2539628,0.2674649,0.25950056,0.23219734,0.20231754,0.1908288,0.20866768,0.24199049,0.26761535,0.27119213,0.2585579,0.2430747,0.23160201,0.22312878,0.21500315,0.21067888,0.21346277,0.22472018,0.23708087,0.2434874,0.23804218,0.22519375,0.210764,0.19955187,0.18813783,0.17259568,0.15341951,0.13606852,0.12688306,0.12812535,0.14086027,0.16036488,0.17629607,0.17318189,0.14583352,0.10516417,0.07503812,0.07212415,0.09820106,0.1377636,0.17377715,0.19063269,0.184295,0.15533586,0.11487844,0.07747973,0.06311556,0.08832536,0.15734987,0.2559861,0.35015416,0.4085805,0.41485298,0.38108346,0.3268453,0.27146938,0.2236499,0.1950091,0.19561988,0.228599,0.2751393,0.30653962,0.30213526,0.26998594,0.23781067,0.23036359,0.25187483,0.2861534,0.31772876,0.33548424,0.33836308,0.32256415,0.2914151,0.2516344,0.21656503,0.19299072,0.18132998,0.17534392,0.17087162,0.164201,0.15458116,0.14112091,0.12607415,0.111007385,0.09696778,0.08469706,0.079153374,0.08871389,0.12043512,0.1704747,0.22470792,0.26376486,0.27882674,0.27362975,0.261582,0.2519029,0.24780084,0.24796052,0.25092155,0.2536665,0.25161484,0.2430029,0.2317863,0.22501855,0.22507848,0.22673494,0.22295402,0.20943351,0.1883985,0.16266088,0.13882914,0.122879334,0.11955843,0.12366662,0.124996565,0.1174744,0.10755383,0.107353985,0.122495376,0.1465205,0.16835962,0.18081905,0.1830117,0.17580163,0.15953577,0.13580163,0.11035376,0.09266681,0.09157533,0.10926513,0.13863455,0.16534673,0.17745714,0.17287777,0.16358905,0.1647228,0.18551445,0.21808304,0.24815357,0.25957856,0.24819285,0.2144065,0.16812454,0.12115348,0.09023988,0.08481479,0.10354542,0.12997715,0.14615929,0.14337827,0.13185334,0.127149,0.13826765,0.156893,0.17142527,0.17625122,0.17775922,0.18357165,0.19577695,0.20936386,0.21625493,0.21267956,0.19898945,0.1802886,0.15855598,0.13656513,0.11787642,0.112500705,0.1268652,0.15945236,0.19569588,0.2199109,0.2230591,0.21041709,0.19298576,0.17981462,0.16986871,0.15839916,0.14261448,0.12658766,0.114707015,0.109173805,0.10743981,0.10654866,0.10359231,0.100149624,0.10321551,0.1199179,0.14847273,0.1724987,0.1749727,0.15096517,0.11541643,0.08827472,0.08041813,0.086226605,0.09083977,0.0845235,0.069569394,0.06011254,0.068799704,0.09908142,0.14123113,0.1797493,0.2007734,0.1983825,0.17690106,0.14612222,0.11599111,0.08983156,0.06893133,0.05643302,0.061680865,0.0904325,0.13845326,0.18795426,0.2219642,0.23278432,0.22716506,0.21412335,0.20019607,0.18566608,0.17209606,0.16249509,0.16172332,0.16940151,0.18069577,0.18814911,0.19002219,0.18901129,0.18933375,0.1903944,0.18891531,0.1820606,0.17050178,0.1576501,0.14790545,0.14429523,0.14728071,0.15501028,0.16527294,0.17654862,0.18617515,0.19182432,0.1911621,0.18597175,0.17687279,0.16563277,0.15253486,0.14363186,0.14387305,0.15670936,0.17595907,0.194534,0.20636694,0.21212678,0.21400554,0.21172552,0.20232938,0.18259637,0.15567891,0.12865628,0.10820658,0.09539816,0.08687323,0.0815244,0.08101102,0.089270584,0.10746056,0.1337504,0.165118,0.1961071,0.2221731,0.23643069,0.23797457,0.23064126,0.22421594,0.22430183,0.22780798,0.22872894,0.223903,0.2193054,0.21740957,0.21771483,0.21152078,0.19635545,0.1732304,0.15113284,0.13632663,0.1312414,0.13328134,0.13820076,0.14636652,0.15764017,0.17439406,0.19079523,0.20063479,0.19248737,0.16456378,0.122045495,0.08164813,0.058782693,0.061499607,0.083913326,0.10931009,0.12198568,0.118501894,0.113607705,0.12656562,0.16458869,0.21280666,0.24787636,0.25560793,0.24225867,0.22259194,0.20959447,0.20479822,0.2065025,0.210034,0.21268481,0.21004896,0.19957954,0.1799,0.15169583,0.11828131,0.087605216,0.07299776,0.08446946,0.12028748,0.16202559,0.1879191,0.18532585,0.15969509,0.12433078,0.091342114,0.06576098,0.050964486,0.051190242,0.07052186,0.1067588,0.1517422,0.1916389,0.21695173,0.22218724,0.21509029,0.20468318,0.20196085,0.20296101,0.19979514,0.18208884,0.1555137,0.13394171,0.13257375,0.15022232,0.17544346,0.19686486,0.21745338,0.24423762,0.27777782,0.30414677,0.31080356,0.29636225,0.27333868,0.2518457,0.23172413,0.20348908,0.16323401,0.119646944,0.09139159,0.0917886,0.119547166,0.15816925,0.18840535,0.19870187,0.19108681,0.17746156,0.17000784,0.1728849,0.17688148,0.1697435,0.14571317,0.11631001,0.100293696,0.11219549,0.1488311,0.19469303,0.23130704,0.24841297,0.24366696,0.2204601,0.18504377,0.14484997,0.10839855,0.08351337,0.07919749,0.09727925,0.12886758,0.15203477,0.1508546,0.12668723,0.10102125,0.09301222,0.10582169,0.1246742,0.13501973,0.13205357,0.12021824,0.102988094,0.08214525,0.061084654,0.048464406,0.05107831,0.067538135,0.08646443,0.09516179,0.08936385,0.0763987,0.0713959,0.084270775,0.11515262,0.15054011,0.17756301,0.18801604,0.18572704,0.17448752,0.15668961,0.1315941,0.10600758,0.09467471,0.1125496,0.16028531,0.22084506,0.2705367,0.29611298,0.29983625,0.29165635,0.27805105,0.25979874,0.23736452,0.21357234,0.19346863,0.17939657,0.17252974,0.17257296,0.18008028,0.19144554,0.19875853,0.19335651,0.17655544,0.1623869,0.1669784,0.19363643,0.22856264,0.2529349,0.25567317,0.23557927,0.19780867,0.15012679,0.107023746,0.0850632,0.09738785,0.14031732,0.19654842,0.2420239,0.26473373,0.26544675,0.2549328,0.24115671,0.2275014,0.21382909,0.19683456,0.17349374,0.14030136,0.101165354,0.06325916,0.03652199,0.02583876,0.03168973,0.04926513,0.06982967,0.083683826,0.08382556,0.071122296,0.052298337,0.038998976,0.04257965,0.072037764,0.12472429,0.1849754,0.22730531,0.23449592,0.20508958,0.15479888,0.10286614,0.06555865,0.0510993,0.05955845,0.08390542,0.11166527,0.13244504,0.13947916,0.13443075,0.122870356,0.113889635,0.11178733,0.11591402,0.12036431,0.12233623,0.12368691,0.12992273,0.144566,0.16602194,0.18825209,0.20049305,0.19747157,0.18581004,0.1902581,0.22856599,0.29234836,0.34136108,0.34248808,0.29752752,0.24187274,0.20946266,0.207061,0.21922664,0.2229741,0.20743845,0.17556755,0.14581342,0.13510092,0.14648442,0.16449875,0.17070198,0.16050936,0.14497854,0.1371305,0.13946302,0.14441143,0.14717484,0.1497259,0.1581508,0.17161418,0.18369418,0.18723774,0.18307775,0.17812526,0.1807038,0.18928874,0.1942754,0.18227579,0.15414949,0.12499761,0.11658663,0.137416,0.17620993,0.21220243,0.22893542,0.22809261,0.22138233,0.2232499,0.23314513,0.2404532,0.22955215,0.19806229,0.1544125,0.1157653,0.09446471,0.09716254,0.119163744,0.14788534,0.16579764,0.16409577,0.14811829,0.13441284,0.13364206,0.14275569,0.14787728,0.14347999,0.13946508,0.15752262,0.2070247,0.27575848,0.33308014,0.35458317,0.33417812,0.28421804,0.22244912,0.1632509,0.11630276,0.08776177,0.08371196,0.10669265,0.15262316,0.20623726,0.24892445,0.2677782,0.26428822,0.24803239,0.23026125,0.21464056,0.20166552,0.18911284,0.17959704,0.17368828,0.17126703,0.16640997,0.15685298,0.14415237,0.13433538,0.12943758,0.12717956,0.1258419,0.12958279,0.14484672,0.17059654,0.19763803,0.21376427,0.2161222,0.2057373,0.18896794,0.1681792,0.15075715,0.14135696,0.14311248,0.15233585,0.16522048,0.18101521,0.19988416,0.21724357,0.22537255,0.21809296,0.20055766,0.18125707,0.17079401,0.16791324,0.1676536,0.15986909,0.14310436,0.12017057,0.098259784,0.07942939,0.06249131,0.046780854,0.03699498,0.042427674,0.06788505,0.10875761,0.1494595,0.17599499,0.18310057,0.17747287,0.16711353,0.15541089,0.1406326,0.122826986,0.107547425,0.10236624,0.11148345,0.12980275,0.14649959,0.1492418,0.13552798,0.11172732,0.09085512,0.07843027,0.07226976,0.063645974,0.0503946,0.03740733,0.035906002,0.052106734,0.0840446,0.12124473,0.15277193,0.17400312,0.18670572,0.19662698,0.2048468,0.21032186,0.20825815,0.19993125,0.1883422,0.1797264,0.1739226,0.16767596,0.15640263,0.1410336,0.12723191,0.120323576,0.12132398,0.12642121,0.13184923,0.13704783,0.14352249,0.15246032,0.16104181,0.16584523,0.16390228,0.15631153,0.14528386,0.13397342,0.12433144,0.11761101,0.11317045,0.11103145,0.11480028,0.13205749,0.16648227,0.21003532,0.24461348,0.25526097,0.24091168,0.21542953,0.19556743,0.19229172,0.20234716,0.21471192,0.21556509,0.2013279,0.17714262,0.15419857,0.13862379,0.13017862,0.12440184,0.119223095,0.116605856,0.120063104,0.12984575,0.1417125,0.14749683,0.1407937,0.12148883,0.10056179,0.09521068,0.11697645,0.16086648,0.20591252,0.23142909,0.23017527,0.21198606,0.19082622,0.17460895,0.16061792,0.14229508,0.11578739,0.08425239,0.056737985,0.044839043,0.058315914,0.09833765,0.154142,0.20550884,0.23583044,0.24108076,0.2318338,0.22171895,0.22055203,0.22744836,0.23646314,0.23757659,0.2269724,0.20579685,0.18332808,0.1665407,0.15926586,0.15794133,0.15900691,0.16103874,0.16606517,0.17511933,0.18343806,0.18439452,0.17388403,0.15884446,0.14884315,0.15015934,0.15587002,0.15755373,0.15044057,0.14105688,0.13314421,0.12659046,0.11474118,0.09980769,0.09049959,0.09874014,0.124339126,0.15687291,0.18171012,0.19192989,0.18846186,0.17645387,0.15999816,0.14226504,0.12653556,0.11668027,0.115930855,0.12504826,0.14182983,0.16042636,0.17438483,0.17753173,0.16743737,0.14468603,0.11617658,0.0931789,0.08721567,0.10031799,0.12330534,0.1426384,0.15189087,0.15294425,0.14971918,0.14113724,0.12369273,0.09685644,0.06677624,0.04313104,0.036029596,0.05051322,0.08649226,0.13345617,0.1775437,0.2028193,0.20681024,0.19542266,0.18306918,0.17636275,0.17692427,0.18185861,0.18969965,0.19774304,0.19938159,0.1888796,0.16605742,0.1406275,0.12423206,0.12325766,0.13224845,0.14023913,0.13698457,0.12181792,0.10034808,0.083750136,0.0793711,0.089732766,0.107790805,0.12432095,0.13070153,0.124531604,0.10842353,0.09220245,0.09110266,0.11661615,0.1657108,0.2172016,0.24894404,0.25157425,0.23421691,0.20926581,0.1847675,0.16270398,0.14486247,0.13365825,0.12702931,0.120525956,0.108762264,0.0951565,0.08654375,0.09018565,0.10394108,0.12124946,0.13465387,0.14141722,0.14000024,0.12917818,0.1089303,0.08520644,0.06862612,0.06804396,0.083408676,0.10703208,0.13096535,0.1515218,0.16611363,0.16965868,0.15805608,0.13660216,0.12012151,0.122383,0.14362402,0.1698473,0.18482645,0.18072273,0.16113438,0.13307546,0.10450334,0.0813896,0.07059676,0.0742382,0.08996746,0.111266874,0.13295972,0.15387231,0.17482941,0.19874632,0.22329168,0.24210702,0.24385647,0.22443293,0.18898122,0.15091847,0.122351766,0.11219189,0.12239784,0.14825694,0.17556219,0.19189952,0.19198179,0.18231557,0.16999792,0.15847932,0.14820419,0.14183605,0.14622883,0.16180299,0.18123503,0.18877934,0.17909501,0.15714526,0.13648124,0.12173313,0.110489585,0.09782704,0.08483846,0.076999046,0.07915863,0.09349173,0.114797115,0.13368069,0.1374834,0.123521484,0.09827828,0.07680816,0.06816793,0.0742551,0.08777436,0.10015101,0.103417955,0.09564578,0.07956418,0.06134301,0.0453947,0.035991486,0.03876603,0.06254685,0.10877273,0.16629773,0.21088392,0.22649676,0.21489932,0.19565205,0.18380786,0.1790642,0.16923182,0.1443759,0.10850958,0.07542702,0.06352014,0.0809207,0.12235006,0.16777277,0.19884676,0.20881034,0.20513822,0.1960407,0.1839708,0.16734678,0.1491381,0.13416481,0.12511888,0.11862808,0.113977395,0.11351252,0.12227819,0.1378959,0.15309104,0.15878953,0.15508497,0.15203601,0.16578454,0.2035917,0.25623655,0.30096924,0.32090008,0.31498373,0.29742718,0.2803986,0.2684079,0.25893858,0.2513209,0.24702604,0.2451321,0.2407651,0.2276556,0.20489459,0.17739125,0.15141462,0.13034011,0.1116455,0.0924983,0.07169477,0.055073347,0.05210368,0.072668724,0.117314674,0.175018,0.226319,0.2567979,0.26185167,0.2484579,0.2249416,0.20148389,0.1827571,0.17304553,0.16908522,0.16917253,0.16826077,0.16500269,0.15582328,0.14039008,0.120302506,0.10084667,0.088067554,0.08443144,0.08679453,0.08722132,0.08065011,0.0706445,0.06730919,0.07873175,0.10273614,0.1305664,0.1531925,0.1689563,0.18061359,0.19250451,0.20418924,0.21204378,0.21038342,0.19950901,0.1847455,0.17587888,0.17672403,0.18562858,0.19486378,0.19867589,0.19390933,0.18158568,0.16432744,0.14420977,0.12327962,0.10388955,0.0921002,0.091955535,0.10410907,0.120567404,0.13369961,0.13698392,0.13195665,0.121648036,0.11292101,0.1115039,0.12227567,0.14512604,0.17381315,0.20027374,0.21599746,0.21849425,0.20825279,0.19296886,0.18181364,0.18285406,0.19641125,0.21447234,0.2277954,0.22922032,0.2192582,0.19868706,0.17118461,0.14048016,0.116840936,0.11098216,0.12888062,0.16375937,0.19973426,0.2205966,0.21847492,0.19554816,0.1597073,0.12009471,0.08532834,0.063873604,0.06378297,0.08672422,0.124703854,0.16101015,0.18249744,0.18612732,0.17701589,0.1592805,0.13364732,0.10530478,0.08696652,0.092686154,0.12295276,0.1622545,0.19047701,0.20025639,0.19905138,0.1980503,0.19816798,0.19393565,0.18093103,0.16388933,0.14827742,0.1388057,0.13456081,0.13387732,0.13023455,0.11813453,0.09562201,0.07027686,0.053607564,0.054424662,0.07448252,0.10787076,0.14596762,0.1767798,0.19179688,0.18535315,0.16190092,0.13033208,0.10256878,0.08472348,0.07872585,0.083699666,0.099657744,0.12517846,0.15443958,0.17872322,0.19093327,0.1902479,0.17967959,0.16443501,0.14962183,0.14150268,0.14281745,0.15095013,0.15654425,0.15289538,0.13931042,0.124130346,0.114201896,0.112105586,0.11314461,0.11297265,0.10945422,0.10266938,0.093960024,0.08523256,0.0822115,0.08783872,0.10352305,0.12501459,0.1519594,0.18130381,0.20921057,0.22516882,0.22308737,0.20311742,0.17294256,0.14341065,0.12496805,0.1273667,0.1490211,0.1798467,0.2012006,0.20508991,0.19127859,0.1685466,0.14186199,0.116989255,0.10079872,0.099754155,0.1146033,0.13572805,0.15378681,0.16312675,0.16891064,0.17496924,0.18356605,0.18890435,0.18992662,0.18705334,0.18700147,0.18857658,0.18892026,0.18176168,0.16908447,0.1549915,0.14241083,0.12872124,0.109208465,0.08599245,0.06769077,0.0683448,0.09272828,0.13413803,0.17410512,0.20051251,0.21235448,0.21775967,0.21835472,0.20869364,0.18508494,0.15598996,0.1366006,0.13520704,0.1453739,0.15336865,0.14969806,0.13876629,0.13288109,0.14720795,0.18291385,0.22841966,0.25709,0.2514284,0.20941585,0.15321247,0.10812137,0.09192959,0.102908455,0.12850904,0.15271401,0.16582216,0.16455972,0.15046303,0.12738256,0.102503926,0.08756476,0.093822874,0.12385696,0.16444564,0.19391622,0.19470604,0.16804324,0.13077267,0.10744425,0.109961934,0.1348586,0.16256525,0.17914023,0.17992364,0.17326035,0.16483895,0.15739079,0.14973189,0.14105155,0.13090721,0.11858324,0.10807357,0.10354037,0.10871179,0.118213646,0.12554236,0.12336129,0.11183769,0.093426935,0.075868376,0.06750274,0.075044,0.09858787,0.12943639,0.15696822,0.17154966,0.1720895,0.16141595,0.14557415,0.12719743,0.106289305,0.08252336,0.057853002,0.037763376,0.028389053,0.03640445,0.06373591,0.10374113,0.14021103,0.15835334,0.15824914,0.15384252,0.15981941,0.17395507,0.18256956,0.17114533,0.14025985,0.10085082,0.06843398,0.051366463,0.050194144,0.0594354,0.073631145,0.088838615,0.100773685,0.103977144,0.09444332,0.075830914,0.05911265,0.05927795,0.08263695,0.12525535,0.16962194,0.20177148,0.21323746,0.21115635,0.20304817,0.19628097,0.18909466,0.1786827,0.1617801,0.13912128,0.11553714,0.09736603,0.08840599,0.08511371,0.08191841,0.076411985,0.0735974,0.07865063,0.09322546,0.1119462,0.12841527,0.13634364,0.13540211,0.12923928,0.12539999,0.12688558,0.13048531,0.1277742,0.11571019,0.10119232,0.09853027,0.115786314,0.1457197,0.16855222,0.16846967,0.148151,0.1276597,0.12696485,0.14829105,0.17505248,0.187672,0.18004562,0.16183107,0.147135,0.14390115,0.15059139,0.16213025,0.17220837,0.17776482,0.17648087,0.17025141,0.16181512,0.15542518,0.15236516,0.15038536,0.14471364,0.13201624,0.11472743,0.099613406,0.092908524,0.09500533,0.09962713,0.100227594,0.09382301,0.08475217,0.077477746,0.07493516,0.0753688,0.078413524,0.083539926,0.08867932,0.088056885,0.077881895,0.062581755,0.05296432,0.059025407,0.080287725,0.10808615,0.12983051,0.13961148,0.13751304,0.12893139,0.11707476,0.103512846,0.08848294,0.07378646,0.061744306,0.053771336,0.050978195,0.05451691,0.067228325,0.0886,0.113734186,0.13058095,0.13039696,0.113287054,0.095074445,0.09504131,0.12590234,0.1797748,0.23565872,0.2682884,0.2684498,0.24357568,0.21391697,0.19326146,0.1838168,0.1778615,0.16943546,0.15814103,0.14619793,0.13381772,0.11891124,0.10235553,0.09016654,0.091601975,0.10964797,0.13797285,0.16287516,0.17545508,0.17395793,0.16208395,0.14152397,0.11443501,0.08740729,0.072205305,0.07831002,0.10476321,0.13917904,0.16513836,0.17277837,0.16387032,0.14944497,0.13945131,0.1376615,0.1389998,0.13858752,0.13381837,0.12834407,0.12510638,0.124612115,0.12302972,0.117526054,0.11132612,0.11280409,0.1289485,0.15659343,0.18325168,0.19537367,0.18739921,0.16493279,0.13817345,0.11687047,0.10354596,0.096715085,0.092097305,0.089559205,0.092842706,0.10838729,0.13810748,0.17451215,0.2037916,0.21493514,0.21123463,0.20364587,0.20269966,0.20396441,0.1997422,0.18293548,0.16025937,0.13956201,0.12859757,0.12512611,0.124868274,0.122065015,0.1147241,0.101722,0.08353601,0.06326879,0.04770964,0.045378312,0.059556764,0.08663481,0.11736182,0.14364545,0.16006358,0.16524608,0.16280867,0.16068327,0.1659744,0.17877883,0.19491124,0.21259134,0.23257498,0.25170395,0.25948468,0.24937375,0.22607343,0.20480329,0.19341916,0.18766212,0.17395473,0.14835517,0.11908112,0.10213504,0.10333064,0.115951836,0.12664759,0.13081086,0.13308312,0.13990587,0.14835785,0.1499124,0.13805366,0.11502734,0.08675321,0.06003094,0.041541625,0.041616257,0.07008264,0.1268323,0.19514175,0.24709946,0.2628878,0.24311061,0.20780332,0.17779218,0.16294092,0.15954885,0.16012931,0.1583615,0.1533746,0.14964712,0.15660001,0.1795125,0.2096041,0.22528543,0.20843585,0.16474004,0.12154361,0.11050097,0.13808908,0.18533643,0.21854548,0.2238441,0.2074938,0.19143055,0.18318856,0.18243252,0.18203335,0.18662207,0.19756179,0.2153057,0.22733669,0.22656171,0.20745017,0.17870636,0.15078036,0.13908337,0.154812,0.20099473,0.26780847,0.32933113,0.36483884,0.36364603,0.33955964,0.3043104,0.27008983,0.23788415,0.21712925,0.21356662,0.2265628,0.24276853,0.25102708,0.2541475,0.26070765,0.27415344,0.28410646,0.28049526,0.2581581,0.2203632,0.17158318,0.11999146,0.07652942,0.054319333,0.06010322,0.09161597,0.13559452,0.17835106,0.20841317,0.22501408,0.22849314,0.22491919,0.217016,0.21216114,0.21125662,0.2143829,0.21488096,0.20982945,0.19796146,0.18452632,0.17600536,0.17801131,0.18872024,0.19992155,0.20180054,0.1920677,0.17461441,0.15667063,0.1395068,0.12234425,0.10182049,0.07897906,0.055745926,0.036274794,0.02497413,0.028803691,0.05667137,0.110999845,0.18069191,0.23985095,0.26576927,0.25239596,0.213582,0.16744582,0.12529276,0.08984688,0.06267976,0.049012374,0.0582867,0.0972478,0.16272946,0.23515208,0.2895325,0.30889496,0.29779342,0.27218208,0.24866177,0.2322983,0.22182555,0.21185149,0.19937901,0.18387397,0.1692217,0.16121143,0.16160156,0.16856249,0.17649144,0.18692636,0.20234232,0.22610843,0.24985814,0.26391026,0.25915793,0.23777683,0.20460759,0.16693665,0.12882473,0.095644556,0.072605446,0.06685745,0.08097053,0.11205069,0.14785023,0.17948534,0.20224744,0.22118707,0.23682916,0.24773552,0.24733336,0.23298173,0.20438923,0.16601686,0.1266645,0.09981686,0.09916756,0.13228516,0.19383077,0.26704684,0.3273435,0.3560468,0.34684277,0.3126867,0.2727588,0.2433604,0.22553927,0.21367009,0.19930647,0.18137318,0.16214746,0.14971207,0.14922583,0.16070326,0.17338978,0.17480916,0.16016883,0.1390864,0.12894179,0.14018206,0.16965126,0.20105068,0.22043365,0.22048803,0.20632863,0.18487753,0.16292207,0.14087869,0.11716709,0.09327974,0.07573373,0.07406797,0.088567436,0.111069344,0.12689514,0.1311692,0.12704796,0.1248632,0.12847398,0.13788754,0.14760959,0.153448,0.15003444,0.1356563,0.111769766,0.08713948,0.07248783,0.07892076,0.10757226,0.15180077,0.19475132,0.22444801,0.23289312,0.22516318,0.20756634,0.19076236,0.17816603,0.17068082,0.16299538,0.15227537,0.13820909,0.1241692,0.11369578,0.10756305,0.104874484,0.10216632,0.09861412,0.09502276,0.095118605,0.10065171,0.1124492,0.13206823,0.16200529,0.20016535,0.23490138,0.24984886,0.23551948,0.19707118,0.15050009,0.11096298,0.08523645,0.07081187,0.06293392,0.058003973,0.055927053,0.056059316,0.057366032,0.057814553,0.057418417,0.058108028,0.063593924,0.07766684,0.10066956,0.12795638,0.14871876,0.15435912,0.14151354,0.117878586,0.09331248,0.07823648,0.07420959,0.07776653,0.08063245,0.080289744,0.0818077,0.09589044,0.12678911,0.16838604,0.2069629,0.23531555,0.25489727,0.27519855,0.2987429,0.3204224,0.3272415,0.3128291,0.28080896,0.24333836,0.21111272,0.18678218,0.1694405,0.15702392,0.15142362,0.15179056,0.1555581,0.15751381,0.1544572,0.14636679,0.13449772,0.12074379,0.104380935,0.08520609,0.063487865,0.04284662,0.027440371,0.021910762,0.029677665,0.052713662,0.08544161,0.11533824,0.12863132,0.12723675,0.12854344,0.15197295,0.19504517,0.233977,0.24428447,0.22414877,0.19255161,0.16939454,0.15971585,0.15814899,0.15900177,0.15969187,0.155268,0.13899729,0.110824734,0.08153001,0.06815909,0.077388175,0.10082383,0.1175496,0.11484778,0.095832296,0.07909835,0.07951257,0.097908825,0.121063314,0.13405596,0.13167247,0.1185697,0.104435034,0.094055414,0.08730909,0.07992763,0.07047395,0.060605526,0.05590498,0.06083855,0.0761686,0.0964457,0.11338531,0.12088119,0.11800801,0.10829475,0.09479574,0.07931234,0.06182459,0.044711348,0.0329079,0.033940718,0.05367784,0.091273494,0.13925435,0.18491851,0.21916746,0.2345386,0.22962968,0.20631935,0.1765824,0.15597849,0.15432829,0.16645144,0.17447416,0.16452108,0.13586397,0.10516716,0.09328264,0.112493396,0.15716045,0.20494807,0.233945,0.2326936,0.20959519,0.17990232,0.16100119,0.16135216,0.18143648,0.20988262,0.22937834,0.22734477,0.20556258,0.17951053,0.16306812,0.1613306,0.17024074,0.18895257,0.21732672,0.2535163,0.28463006,0.29701325,0.28127113,0.245122,0.2045031,0.17900212,0.17394888,0.18354754,0.19260108,0.19285898,0.18231924,0.16586769,0.14741786,0.13284117,0.1291808,0.14310451,0.17296632,0.20932353,0.23896283,0.25586888,0.25998577,0.25763676,0.25311136,0.25075218,0.25230405,0.25968,0.27141947,0.28274608,0.28837097,0.28640497,0.2787963,0.26421013,0.23846938,0.19857149,0.1515571,0.10916539,0.08096942,0.06797054,0.06801915,0.07948061,0.10190418,0.13221918,0.16485113,0.1951717,0.22083056,0.24008538,0.24668305,0.23386951,0.19972801,0.15535262,0.11791682,0.10122231,0.105502166,0.122052334,0.14145498,0.15964228,0.17488839,0.18428646,0.18516867,0.17937307,0.17318557,0.17152257,0.17350769,0.1748969,0.17347725,0.17151193,0.17204075,0.17598212,0.18038207,0.18168168,0.1767676,0.16641577,0.15306531,0.14129211,0.13347553,0.13115688,0.13159776,0.13119654,0.12573288,0.11798153,0.114694305,0.12358447,0.1427052,0.1629286,0.17279138,0.16801114,0.15115555,0.12767853,0.102645405,0.080610864,0.06750182,0.066411294,0.075950794,0.09068683,0.10811796,0.12889831,0.15300113,0.17485158,0.18724604,0.18725204,0.17880018,0.16759062,0.15693764,0.14691399,0.13733988,0.12969674,0.1245983,0.12134569,0.11602277,0.10802763,0.09929273,0.09709258,0.10458071,0.12102318,0.13834815,0.1511283,0.15690458,0.15793753,0.1552762,0.14916529,0.14226018,0.13942063,0.14528789,0.15689217,0.16602926,0.16377015,0.14841896,0.12502259,0.102005206,0.08442382,0.073006235,0.064084254,0.055505503,0.04838332,0.047551215,0.05584501,0.069950946,0.08220062,0.08523128,0.078086816,0.06524863,0.055321474,0.057088178,0.075368404,0.108715706,0.14963996,0.19120999,0.22758973,0.2523961,0.25694838,0.23688777,0.1985751,0.15508619,0.1164659,0.0874928,0.07388138,0.088915385,0.13875276,0.21424277,0.28521535,0.3285397,0.33561623,0.32008615,0.29557332,0.27430987,0.25954545,0.25188062,0.24548449,0.23432828,0.21447702,0.18953238,0.16656347,0.15442313,0.15670139,0.17112808,0.18670726,0.19173144,0.17767136,0.14705592,0.10786795,0.07356081,0.05520769,0.06167133,0.089629345,0.124287836,0.14325537,0.13411926,0.10125921,0.06337381,0.03857161,0.03648058,0.05643305,0.09185783,0.13430627,0.17565912,0.2103436,0.23301828,0.24038245,0.23055671,0.20851791,0.18214513,0.1618721,0.15194084,0.15279818,0.15663174,0.15634395,0.14610954,0.1304925,0.11748501,0.114639096,0.12063681,0.12926961,0.13428523,0.1339075,0.12843998,0.11876183,0.10667119,0.0985049,0.103050195,0.12472203,0.15957846,0.19575083,0.22429042,0.23865902,0.23871903,0.22362246,0.19764869,0.16602774,0.13471662,0.105633564,0.07867117,0.057133973,0.048076227,0.058681726,0.087856926,0.12556277,0.15913521,0.17989711,0.1868837,0.1811347,0.16670759,0.1474299,0.13076065,0.12134928,0.12110585,0.12663291,0.13334721,0.13715403,0.13478376,0.124542505,0.105795175,0.08326666,0.06540825,0.06332674,0.080056846,0.11045376,0.14151268,0.16557254,0.17944779,0.18474601,0.18074882,0.16701818,0.14487463,0.1169124,0.08846141,0.06715011,0.06517164,0.090584874,0.1404221,0.19786827,0.24142008,0.25771478,0.2471563,0.22329117,0.20248508,0.19654083,0.20477313,0.21746744,0.22363295,0.2199461,0.21114342,0.20200099,0.1925636,0.17901467,0.16024666,0.1384604,0.11589327,0.0923526,0.068105765,0.047314137,0.037852015,0.04601912,0.07290392,0.11112428,0.1486307,0.17405815,0.18515909,0.18880077,0.19463514,0.20648806,0.21988182,0.22539987,0.21498637,0.18751003,0.15305871,0.1279888,0.12591724,0.14805967,0.1848083,0.22300453,0.25183594,0.26659545,0.26620427,0.25421825,0.23232244,0.20313631,0.16965663,0.14215876,0.13001253,0.1358363,0.1482346,0.15328866,0.1427732,0.12113274,0.09662307,0.077765554,0.06753618,0.06758315,0.077515006,0.09829084,0.12792689,0.16007319,0.18385167,0.19158848,0.18393295,0.16855174,0.15249775,0.13846664,0.1264345,0.116891645,0.11122701,0.109136306,0.10911546,0.10764262,0.10218137,0.09072223,0.075216204,0.06032199,0.052821696,0.059706505,0.08475154,0.12810512,0.18031724,0.22891371,0.2587761,0.2642202,0.2467107,0.21647365,0.18511312,0.16153191,0.15041889,0.14985335,0.15566416,0.16196977,0.16607732,0.1678884,0.16795583,0.16779454,0.16640641,0.16355,0.15613575,0.14585006,0.13665654,0.13618349,0.1454073,0.16019271,0.17167903,0.17587477,0.1721168,0.16405052,0.15406322,0.14516301,0.13915373,0.13677235,0.13524155,0.13121448,0.12572859,0.12862721,0.14916366,0.18743022,0.22607946,0.24749458,0.24126719,0.2159745,0.18352324,0.15781064,0.14282006,0.13856173,0.1390552,0.13973857,0.13906626,0.1367017,0.13270678,0.124197565,0.11256832,0.102075845,0.101898275,0.11611984,0.14093472,0.16431165,0.17593652,0.17317896,0.15981938,0.13977474,0.11451865,0.087495096,0.066580854,0.062605105,0.08106533,0.118989535,0.16489892,0.20637727,0.23579793,0.25205567,0.25836828,0.25570694,0.24433412,0.22264706,0.19287978,0.15772657,0.12281823,0.09463072,0.08073193,0.0843335,0.10058688,0.11846509,0.12860692,0.12999378,0.12992845,0.13569206,0.14888489,0.16195542,0.16570991,0.15380114,0.12848662,0.09652237,0.0667154,0.046506185,0.04354253,0.063660026,0.106504254,0.16103132,0.20908332,0.23619942,0.23870943,0.22431584,0.20395862,0.18879324,0.18408829,0.18841474,0.19199818,0.18636172,0.17052752,0.15218078,0.13782145,0.12867722,0.12149361,0.114876814,0.108357966,0.10105676,0.08990509,0.07339979,0.054707516,0.042606026,0.04909469,0.081799395,0.13753565,0.19872539,0.24277933,0.2542583,0.23450834,0.19680141,0.1571052,0.12545791,0.107781924,0.107670225,0.12839042,0.16754138,0.2142896,0.25180689,0.26550373,0.2553447,0.23243909,0.21271984,0.20056212,0.19293071,0.18383406,0.1727757,0.16106857,0.14795484,0.13450326,0.12538072,0.12889487,0.14517778,0.16536258,0.17825864,0.18179123,0.18234985,0.18531983,0.18931685,0.19056366,0.18812627,0.18709473,0.18996991,0.19667862,0.19804077,0.18670796,0.15759002,0.120076954,0.089824975,0.08607754,0.1124123,0.15868096,0.19971533,0.2194912,0.21109079,0.18515815,0.1517894,0.12444171,0.10980136,0.11000183,0.11649409,0.118449956,0.11365288,0.11319948,0.13057385,0.16764976,0.20905821,0.23726636,0.24159527,0.22786433,0.20468183,0.1821929,0.16206004,0.14558516,0.13020264,0.11480135,0.09694496,0.07746536,0.06051195,0.052813787,0.05822895,0.07366555,0.09020368,0.09850057,0.0957818,0.08752266,0.08571554,0.09890362,0.1269682,0.15700237,0.17503713,0.17166562,0.14973125,0.11649409,0.0830746,0.05861209,0.05087221,0.05917673,0.07549546,0.086488254,0.08462915,0.07041321,0.05407211,0.047093365,0.058281522,0.086250104,0.12258488,0.1555383,0.17933135,0.19191359,0.19363296,0.18210264,0.1589915,0.13199113,0.11678704,0.124444745,0.1547303,0.19143689,0.21771784,0.2244851,0.21725893,0.20407136,0.19079165,0.17734878,0.16356832,0.15037705,0.14010161,0.13390286,0.13072212,0.12806892,0.12397469,0.11906005,0.11433685,0.11098686,0.10663072,0.099130005,0.08498179,0.06656855,0.05106182,0.05248013,0.080602266,0.13303702,0.19139564,0.23303045,0.2455159,0.23306338,0.20808087,0.18210638,0.16015865,0.14508784,0.13645355,0.13210808,0.12638186,0.11521604,0.0990096,0.08422664,0.07963539,0.09141164,0.11801205,0.15129645,0.17928036,0.1953999,0.19817565,0.19255899,0.182132,0.17160451,0.1618076,0.15207468,0.13755354,0.11829638,0.100582324,0.095680915,0.108501285,0.1345656,0.16241074,0.18156886,0.18557371,0.17389894,0.14972164,0.11929386,0.08807539,0.06200191,0.04795584,0.0541975,0.08433089,0.13073952,0.17640854,0.20485532,0.21224552,0.20511961,0.19221993,0.17599863,0.15740943,0.13938051,0.12711935,0.12166483,0.11948537,0.11622039,0.11109436,0.10750639,0.10793517,0.11270703,0.11691246,0.11740092,0.111453794,0.10177658,0.08943046,0.076710224,0.062996395,0.050329294,0.041126367,0.040508926,0.050033372,0.067234874,0.082953095,0.08948765,0.08345473,0.06988574,0.05490318,0.04412852,0.040998053,0.052550495,0.086186804,0.14358987,0.21250577,0.27214226,0.305176,0.30812633,0.2897267,0.2614402,0.2309389,0.2008469,0.17239223,0.14729863,0.12698013,0.11103777,0.097370535,0.08624349,0.082997315,0.09408539,0.120375514,0.15195882,0.17532264,0.18153791,0.17254482,0.1583547,0.14876218,0.14925951,0.15475631,0.15907556,0.15687512,0.15429974,0.1576044,0.17043126,0.18684793,0.20143099,0.21173835,0.21853362,0.21951322,0.21097285,0.19145222,0.16580735,0.1405718,0.12067998,0.10511909,0.0905287,0.07289141,0.0535316,0.037970003,0.034495678,0.045547515,0.06518585,0.08147698,0.08679754,0.08425963,0.08190767,0.08475248,0.08874934,0.09154045,0.094009556,0.10097882,0.109434195,0.112107396,0.10188827,0.080260195,0.055905532,0.041283417,0.048282553,0.08186513,0.13529705,0.190291,0.22699939,0.23674335,0.22445114,0.20323019,0.1811148,0.16006945,0.13765131,0.11750093,0.10710579,0.11208725,0.12589794,0.1342331,0.12715419,0.10964367,0.09652063,0.0981302,0.11110163,0.12195667,0.11906049,0.10127658,0.07847766,0.065395,0.07201648,0.09883827,0.135671,0.17029537,0.19306058,0.20192795,0.19882858,0.1893733,0.17863142,0.168945,0.15686862,0.1370534,0.10818305,0.07717229,0.056456354,0.057031255,0.083503544,0.12912743,0.17952843,0.21690094,0.23338401,0.23213817,0.22569394,0.22143525,0.21967493,0.21377046,0.20132507,0.1841157,0.16754062,0.15380894,0.14353347,0.13680367,0.1346472,0.13630198,0.13905562,0.14025825,0.1392801,0.13529263,0.12607865,0.110266775,0.09298265,0.08411348,0.092375435,0.115953065,0.14481318,0.1653369,0.17102098,0.16162615,0.14319783,0.12041784,0.097922765,0.077041656,0.059666112,0.047483336,0.046423998,0.063324936,0.099702805,0.14520355,0.18101634,0.19375211,0.18495055,0.16968764,0.1628896,0.1686757,0.17898162,0.18179847,0.17027019,0.14558034,0.11446899,0.08459597,0.06311058,0.053858925,0.057348456,0.06963289,0.08708563,0.1049861,0.117937505,0.11860316,0.106180824,0.088639826,0.07840959,0.07980788,0.08636609,0.08730299,0.07811376,0.062781565,0.051396336,0.053672757,0.07511661,0.11121515,0.15012257,0.17704505,0.18515807,0.1753124,0.15543526,0.13235646,0.11177209,0.09581658,0.086935915,0.088108845,0.10291978,0.12904257,0.15623012,0.17048793,0.16633518,0.15138364,0.1397693,0.14001334,0.14927064,0.15930398,0.16301064,0.1590331,0.14947897,0.1381954,0.12798113,0.12016343,0.114909686,0.11246505,0.11248227,0.11347418,0.113426514,0.111717544,0.10874597,0.10452494,0.09764487,0.08909625,0.08217374,0.0828431,0.0916071,0.10516098,0.114860006,0.1164771,0.10907492,0.09791241,0.08754901,0.08138278,0.07971222,0.081704535,0.086249836,0.09115776,0.093877286,0.09184808,0.084664755,0.074578844,0.065736346,0.06368434,0.071550675,0.08915939,0.11057582,0.13016187,0.14466168,0.15587991,0.16507177,0.17166305,0.17222732,0.16469854,0.1489877,0.13130961,0.12073356,0.12756822,0.15155204,0.18411998,0.21113272,0.22563912,0.22731394,0.21935262,0.20404948,0.18207896,0.15693267,0.13293038,0.117326476,0.113773495,0.122054756,0.13529104,0.14629777,0.15143128,0.15121663,0.14639844,0.13501981,0.1156643,0.09054765,0.067624085,0.055468846,0.05973797,0.07765252,0.10178097,0.12097827,0.1302809,0.12903117,0.1250644,0.12273458,0.12412983,0.12171065,0.110647835,0.08946865,0.06777109,0.05682403,0.064675264,0.089462526,0.1211048,0.14777917,0.16047989,0.15869348,0.14803173,0.13791226,0.13406162,0.13646579,0.14088683,0.14369,0.14409815,0.1427949,0.139921,0.13489658,0.12693453,0.117248625,0.10712671,0.098084025,0.08816117,0.0753934,0.058625,0.040748704,0.025715774,0.017165618,0.017107466,0.026536575,0.044908684,0.069482565,0.09537775,0.117307864,0.13066602,0.13341124,0.12614478,0.11356456,0.10145845,0.09436048,0.09073928,0.085354656,0.07284185,0.054471403,0.037122767,0.030102944,0.037428625,0.05649275,0.078387596,0.095388025,0.10409912,0.10690647,0.10620206,0.10195259,0.09189698,0.075553104,0.05569473,0.038119853,0.02962029,0.036273245,0.058960497,0.09162595,0.12159438,0.13855858,0.13926011,0.13102664,0.12286373,0.12236836,0.12803501,0.13562202,0.1379423,0.13501395,0.12939824,0.12700026,0.12781827,0.12966938,0.12812938,0.12281812,0.115054995,0.108352184,0.10324234,0.097903974,0.087407164,0.070057474,0.048746496,0.03172532,0.027527431,0.04149427,0.07228499,0.10982581,0.13841295,0.14435692,0.12713285,0.101203896,0.088163264,0.10113079,0.13713689,0.18002498,0.21344817,0.22876798,0.22681028,0.21172152,0.18898292,0.1642052,0.14381176,0.13188164,0.12853962,0.1310847,0.13590148,0.13953704,0.13823931,0.13092674,0.1217953,0.11773744,0.12327389,0.13547951,0.1498517,0.1623854,0.17239504,0.1762824,0.16998135,0.15183383,0.12689681,0.10265552,0.08330084,0.06935837,0.06262126,0.069856144,0.09720253,0.14235099,0.19135374,0.22611,0.23369162,0.21704663,0.19348685,0.19119765,0.22256969,0.2801189,0.33006397,0.35094523,0.33643928,0.30669817,0.2764986,0.25458348,0.23460235,0.21018606,0.17752714,0.14044176,0.10491388,0.07647779,0.058631945,0.057405073,0.077967405,0.12162467,0.17693149,0.22624749,0.2523009,0.25069287,0.2295038,0.20275955,0.18121381,0.16588028,0.15312535,0.13943543,0.12863009,0.12679242,0.13691537,0.15283096,0.16415416,0.16266404,0.14744215,0.12446513,0.10318002,0.09593922,0.110056184,0.14725645,0.19464612,0.23766804,0.26003852,0.26054892,0.24205454,0.216066,0.18813093,0.16496412,0.14866394,0.14222287,0.14302152,0.14472371,0.13981833,0.12883823,0.1218631,0.13141145,0.15937,0.19442171,0.21944249,0.22570209,0.2162459,0.20286912,0.19713777,0.20597093,0.22769694,0.25091076,0.2609842,0.24964432,0.22440131,0.19999474,0.18873303,0.19030483,0.19709103,0.19954185,0.19089948,0.17068517,0.1432362,0.11931438,0.106633276,0.10926109,0.12269384,0.14134528,0.1588611,0.17259033,0.18051691,0.18321669,0.17995603,0.17056686,0.1532136,0.13174082,0.114818126,0.113841414,0.12966016,0.14960377,0.15558545,0.14102162,0.11753294,0.1037327,0.11046171,0.1316195,0.15446506,0.16644628,0.16561621,0.1534385,0.13635458,0.118456624,0.10492316,0.09730887,0.09506177,0.09554282,0.097291686,0.10015906,0.10369003,0.10582147,0.10622286,0.10638925,0.10959027,0.11475427,0.11937951,0.12006218,0.11657337,0.10816922,0.09513212,0.07970632,0.06823955,0.06664324,0.076508135,0.09293293,0.109223574,0.11954693,0.12287241,0.12121841,0.11918985,0.120368,0.124504685,0.12807482,0.12627922,0.1200555,0.114417545,0.11571007,0.123593114,0.13272037,0.13696922,0.13552882,0.13162047,0.12896477,0.12796868,0.1267052,0.12255003,0.113948084,0.10072196,0.0843193,0.06902822,0.060900718,0.06611534,0.08509662,0.11131676,0.13383412,0.14737171,0.15550289,0.16583598,0.17932159,0.18861778,0.18531759,0.16856487,0.14618854,0.12844686,0.12136841,0.12265883,0.12467662,0.119258165,0.10350236,0.08103788,0.061104774,0.055530325,0.07164672,0.10795721,0.15073764,0.18535279,0.20200431,0.2042764,0.198435,0.19118567,0.18251461,0.17252286,0.16005729,0.1447985,0.1253991,0.10323921,0.08423952,0.07636375,0.08496823,0.108398475,0.14098425,0.17434913,0.20164011,0.21651955,0.2155059,0.1976865,0.1675583,0.13561746,0.11488689,0.11346025,0.12850341,0.1510989,0.17337377,0.19381402,0.21157165,0.2248968,0.2289197,0.22075528,0.19768874,0.16318445,0.12680702,0.103758626,0.10108759,0.11183671,0.120252006,0.11931595,0.11650463,0.12480631,0.14546196,0.16781443,0.18083197,0.18748474,0.19870323,0.21968108,0.2413389,0.24949056,0.2384509,0.21269983,0.18015449,0.14524253,0.11390998,0.095579274,0.09716008,0.11342049,0.12796979,0.13063586,0.12665097,0.1321617,0.15414892,0.18437117,0.20708482,0.2133066,0.20501798,0.1890157,0.17158377,0.15589221,0.14447497,0.13843583,0.13750432,0.13945137,0.14195733,0.14439982,0.14675088,0.14851362,0.14655118,0.13776396,0.120957054,0.100281335,0.084206484,0.08264754,0.09987899,0.13087238,0.16303034,0.1846305,0.19225204,0.19023325,0.18665968,0.18493433,0.1851738,0.18351865,0.17999643,0.17550357,0.17197774,0.16666351,0.15719219,0.14539425,0.1378765,0.13984089,0.14822255,0.15688348,0.1588865,0.15255839,0.13686885,0.11670172,0.10097637,0.099494986,0.112893045,0.130996,0.14058761,0.13496935,0.11653978,0.094723545,0.0801514,0.080602266,0.09540232,0.11679486,0.13619353,0.14907892,0.15681247,0.16063575,0.16177231,0.15850322,0.15139087,0.14241661,0.13741012,0.13947101,0.14722477,0.15463436,0.15873402,0.16304529,0.17225568,0.18528797,0.19138575,0.18177132,0.15448639,0.11869475,0.08402871,0.061334703,0.06030947,0.09090362,0.15101455,0.2224382,0.27644953,0.29521108,0.28085628,0.25041297,0.21902485,0.19260474,0.17050184,0.15033092,0.13254006,0.11818118,0.10997466,0.106989525,0.106240936,0.10168067,0.090041935,0.07151102,0.050528932,0.03250904,0.022184549,0.02449,0.043703396,0.08271081,0.13418637,0.18339539,0.21065335,0.20943917,0.18537165,0.15539466,0.13086183,0.11543957,0.10578651,0.09867921,0.09654858,0.10215383,0.118063875,0.13858433,0.16031043,0.17986454,0.19863689,0.21167888,0.21370815,0.20218505,0.18362202,0.16508062,0.14882676,0.13275121,0.118029475,0.11016836,0.1135385,0.12549534,0.13678984,0.1394531,0.1309544,0.11693419,0.102832355,0.09192836,0.08112464,0.06988441,0.062002335,0.06902247,0.09787359,0.14551114,0.19524448,0.23271185,0.2524219,0.259091,0.2541863,0.2354309,0.20322995,0.16670038,0.13845493,0.12294534,0.11719382,0.11493734,0.115934394,0.12064489,0.1292911,0.13700157,0.14089932,0.1392364,0.13428469,0.12672769,0.118531406,0.109965056,0.10259259,0.094893076,0.08559445,0.07308911,0.060970366,0.056355458,0.068730086,0.09992962,0.14163852,0.17687981,0.19480509,0.1961288,0.19103651,0.1865989,0.18233252,0.17449139,0.16225642,0.15028036,0.14225101,0.13832213,0.13317935,0.124384016,0.1149259,0.113394745,0.123230815,0.1382337,0.14576443,0.13847198,0.12021172,0.101640604,0.09134222,0.091193594,0.09789961,0.10543161,0.107614,0.1011618,0.090239726,0.0843185,0.09203283,0.112505876,0.13602608,0.15040497,0.14910583,0.13496387,0.11557552,0.099298984,0.08927068,0.08677956,0.0918642,0.10589075,0.12710835,0.14937116,0.16301578,0.16064668,0.14145844,0.11285749,0.08768898,0.078992315,0.092638426,0.12344092,0.15719949,0.18042491,0.18837655,0.18680336,0.1840781,0.18323922,0.18000896,0.16904716,0.15103827,0.13401851,0.12716158,0.13427807,0.1498241,0.16396618,0.16761278,0.15955517,0.1439457,0.12707171,0.1112889,0.09686174,0.08409539,0.075799614,0.073187016,0.07512989,0.07822776,0.08283643,0.0911436,0.10465715,0.11793041,0.122050494,0.11067254,0.08701948,0.06303195,0.051204816,0.05750468,0.07655021,0.098582834,0.113232665,0.117764644,0.11306725,0.103355445,0.090469025,0.077520125,0.070977345,0.08103638,0.112811126,0.15848075,0.19844736,0.21488531,0.20262508,0.17074619,0.1327897,0.09966742,0.07716504,0.06844724,0.073577344,0.08868126,0.10550629,0.11705673,0.12190369,0.12461784,0.13008185,0.13752759,0.14306368,0.14224926,0.13737936,0.13197942,0.13064882,0.13201995,0.13463797,0.13690695,0.14048792,0.14504223,0.1484381,0.1466753,0.13875774,0.12598747,0.11339035,0.105630316,0.10628993,0.11392198,0.12339487,0.12919642,0.12692617,0.1168587,0.10085574,0.087059505,0.082564436,0.09241655,0.111610435,0.13094819,0.14140962,0.14067908,0.13244744,0.12372979,0.1199975,0.12329533,0.12982064,0.13536863,0.13566497,0.13285886,0.12960602,0.13058268,0.13478279,0.14002751,0.14138308,0.13809897,0.13157786,0.12553959,0.12144121,0.11959338,0.1201962,0.123894475,0.12887906,0.13109915,0.1275069,0.12027826,0.11396564,0.11137053,0.11083484,0.11009428,0.10871312,0.10834529,0.11004945,0.11286899,0.1148214,0.113628745,0.1081343,0.09742817,0.0817335,0.06309306,0.047713954,0.045135956,0.06468361,0.10742036,0.1648482,0.22024305,0.2599031,0.27523705,0.26772666,0.24344473,0.21320544,0.18507119,0.16307826,0.14615178,0.13286307,0.12284473,0.1157574,0.10954518,0.10103307,0.08975019,0.07961518,0.07844471,0.0908921,0.11382291,0.1357957,0.14727892,0.14655487,0.1407218,0.13466333,0.12968646,0.1225966,0.11497507,0.10915095,0.10904455,0.1136088,0.120508574,0.12539874,0.12624486,0.12367394,0.12097987,0.12063103,0.12131605,0.1182281,0.10716655,0.08876932,0.07014645,0.060523614]