[0.14904973,0.15564431,0.16861112,0.18481477,0.19882435,0.20793913,0.20835893,0.20338772,0.1982346,0.19420104,0.18586026,0.166622,0.14234671,0.124216445,0.12158394,0.12740426,0.12822099,0.112864494,0.08410107,0.052429643,0.028507417,0.018193198,0.02596801,0.060874622,0.12639783,0.212601,0.2869487,0.31961492,0.29934582,0.2483319,0.19910137,0.17681931,0.18398486,0.20668678,0.22583587,0.22740944,0.20823364,0.17595322,0.14603654,0.13456577,0.14691849,0.17210396,0.18888688,0.18153434,0.15125538,0.11072177,0.0738791,0.047634047,0.036110368,0.04203957,0.064237736,0.092694364,0.11152232,0.11099663,0.09395889,0.07235764,0.054834515,0.043253522,0.036213703,0.034897894,0.039770856,0.04734643,0.05011436,0.045242626,0.03779817,0.039202455,0.056878924,0.08847115,0.12114388,0.13949545,0.13467401,0.10908866,0.07411727,0.042065054,0.021990104,0.018272964,0.03497684,0.07111985,0.12062404,0.16770418,0.20147842,0.21739666,0.22307934,0.22218668,0.2161405,0.20391677,0.1922037,0.1902802,0.20029692,0.21353374,0.2142328,0.19413547,0.15451722,0.10719403,0.06383827,0.032717705,0.01459751,0.0063545643,0.0034726905,0.0029103498,0.003099508,0.0036017187,0.0053121583,0.011438589,0.026544487,0.0524566,0.08248916,0.10320868,0.102869265,0.08311924,0.058317956,0.046210784,0.05555634,0.08157752,0.111252934,0.12996818,0.13224268,0.12066919,0.104399316,0.08782845,0.07137487,0.05280006,0.033877674,0.018217834,0.00896185,0.007300815,0.014503579,0.032138903,0.057546962,0.08174672,0.0922397,0.083479546,0.06045345,0.03638675,0.022230953,0.022642793,0.033344027,0.046047673,0.051121056,0.04544179,0.032001168,0.01935348,0.015564629,0.028443033,0.063246034,0.117092036,0.17477107,0.21216531,0.21339965,0.17965807,0.12902288,0.08053475,0.04576197,0.0254201,0.015365227,0.010526842,0.007805683,0.006198231,0.0062534637,0.009361773,0.01656016,0.026875151,0.036859084,0.042529155,0.043381754,0.04405294,0.051336776,0.06936292,0.09375409,0.1161369,0.12876165,0.1363563,0.14795777,0.16925085,0.1902436,0.19760348,0.18882228,0.17706192,0.1770842,0.1863072,0.18835299,0.16783257,0.13042147,0.097723626,0.09259561,0.11993096,0.16569708,0.2071683,0.22821863,0.22556935,0.20646048,0.1827528,0.16798615,0.17340235,0.20026399,0.23406124,0.25056928,0.23455597,0.19247259,0.14663973,0.11466726,0.09767333,0.08782772,0.08388713,0.09256355,0.11562207,0.13922931,0.14360546,0.12035519,0.08024021,0.042009845,0.01759866,0.007476372,0.0070895036,0.013996701,0.02843904,0.047787562,0.06627675,0.07925412,0.09343221,0.121211745,0.16938698,0.2240622,0.25994912,0.25807628,0.2209992,0.16688304,0.114058524,0.072065644,0.04184309,0.022130875,0.011460192,0.009646517,0.017697789,0.0360068,0.061811358,0.08623519,0.09944922,0.09548787,0.077687584,0.054101914,0.033090573,0.018276751,0.010546259,0.011093602,0.024834052,0.057893533,0.11113044,0.1737858,0.22558455,0.24748974,0.23226629,0.18809111,0.13126583,0.07861658,0.039746046,0.017133592,0.0075191706,0.008016652,0.019278834,0.044900563,0.08557788,0.13414146,0.17712508,0.20409364,0.21283007,0.21007556,0.2001314,0.18463784,0.15988582,0.12756856,0.09103469,0.058069322,0.032708395,0.017920101,0.014150943,0.024058506,0.04995765,0.09039024,0.1361113,0.1729713,0.18888243,0.18047488,0.15472177,0.1270769,0.111490965,0.113778375,0.12471211,0.13155793,0.123621576,0.102549076,0.0748634,0.051952615,0.042366143,0.04978789,0.06851307,0.087319635,0.098759286,0.10311776,0.10526145,0.10496823,0.09787015,0.08043168,0.056539554,0.03468559,0.02475663,0.03545716,0.072201334,0.13176306,0.19796617,0.24727972,0.26127803,0.23786098,0.18982017,0.13604584,0.09023178,0.05877563,0.042058975,0.040539224,0.052206647,0.07107469,0.084712155,0.08331916,0.06592267,0.041912083,0.022284048,0.013278279,0.015910858,0.029730668,0.05591627,0.09501632,0.14273758,0.1860979,0.20914471,0.20424634,0.17926727,0.14928146,0.12366778,0.10156664,0.0822447,0.070898265,0.07809439,0.10689161,0.14973022,0.1860786,0.19672774,0.1734191,0.13126574,0.09883618,0.1064919,0.16225858,0.24831915,0.320374,0.33996606,0.2933453,0.20897925,0.13081777,0.09450496,0.10408924,0.13925867,0.17386901,0.1916077,0.1937765,0.18478191,0.1679675,0.13881627,0.10001161,0.059097085,0.028184349,0.010894124,0.0047869706,0.0035832745,0.0037205701,0.0038235479,0.0040024137,0.0046023703,0.0060160556,0.00930659,0.015922861,0.028382272,0.047582895,0.07181022,0.09421172,0.107417054,0.10651943,0.09337273,0.07299505,0.051384535,0.032310203,0.018133836,0.009334932,0.005064664,0.0035883815,0.0035710465,0.0047380826,0.007775491,0.013518202,0.021823576,0.030903593,0.037799954,0.04020792,0.037771765,0.032360125,0.02644737,0.021875577,0.01889609,0.016738517,0.014398071,0.011491143,0.008387986,0.0070432033,0.012891643,0.03591597,0.08521103,0.15837644,0.23542424,0.28732288,0.29454917,0.25832206,0.19662243,0.13059835,0.075360134,0.03735323,0.016182328,0.0071134404,0.004403575,0.0038970283,0.0038327195,0.004476025,0.007814373,0.017542703,0.03602245,0.060919374,0.08286717,0.09143353,0.08182029,0.059624407,0.03527638,0.017618993,0.009163711,0.008393166,0.011813064,0.016146751,0.01822317,0.017426595,0.01661625,0.023087168,0.043778196,0.08038395,0.12401905,0.15960981,0.17369084,0.16485137,0.14225028,0.12018565,0.10680428,0.10230198,0.09902012,0.08988742,0.07237681,0.051796928,0.03663423,0.034838486,0.049162447,0.07641358,0.10741677,0.13079987,0.13874432,0.13075502,0.11267925,0.09081468,0.06868387,0.04757588,0.029048607,0.015470248,0.0076331985,0.0046924246,0.0051939036,0.009884171,0.021247024,0.04146178,0.06934774,0.09971874,0.124227695,0.13473237,0.12622282,0.1009519,0.0675656,0.037411507,0.01743043,0.008041629,0.005430531,0.0063608377,0.011472111,0.025011638,0.05292197,0.09590975,0.1448733,0.18021245,0.18450946,0.15421863,0.10445532,0.056901176,0.026934234,0.017335817,0.02312628,0.038664643,0.06051563,0.08544152,0.10662231,0.114343286,0.1029113,0.07600869,0.045662463,0.022639891,0.011345827,0.010050192,0.016681531,0.029768586,0.047951028,0.06811816,0.08680749,0.10161059,0.11134871,0.117171735,0.11954319,0.12026135,0.11999652,0.12482881,0.14084011,0.17083953,0.20311461,0.21892579,0.20356911,0.16095802,0.110224396,0.07544035,0.071390785,0.09744867,0.1377932,0.1708957,0.18178885,0.17046882,0.1486995,0.12837568,0.1127849,0.096664935,0.07561863,0.051816523,0.034656003,0.033420805,0.05158724,0.08293053,0.11473023,0.13485871,0.13950585,0.13469712,0.13185774,0.14112733,0.16732635,0.20666194,0.24882829,0.27918372,0.2888225,0.27647963,0.25228932,0.22733976,0.21047546,0.20030223,0.19107223,0.17409809,0.14564838,0.107346974,0.06748943,0.035014052,0.014910106,0.0058270805,0.0033362499,0.004245948,0.008864827,0.020514794,0.041141745,0.06714031,0.08779857,0.09247777,0.07858206,0.055314656,0.036368918,0.030791836,0.03710976,0.046995953,0.052131593,0.0505401,0.045358237,0.040400475,0.035987616,0.030429086,0.02336876,0.01722408,0.015440981,0.019854793,0.03000559,0.044121694,0.05950084,0.07349846,0.08339582,0.08983765,0.09455839,0.09952339,0.101641126,0.09822115,0.088800006,0.07843202,0.070268504,0.063879386,0.055224,0.04276893,0.028935699,0.01880428,0.016527025,0.022322103,0.032431994,0.040264253,0.041786063,0.038391467,0.037629843,0.046459723,0.06468349,0.08286672,0.08892268,0.077786386,0.054834157,0.031093014,0.014511999,0.0064280313,0.0037206681,0.0030947041,0.003038049,0.0033683877,0.004439457,0.00675697,0.011207619,0.018270886,0.027488165,0.036507104,0.042566795,0.04335697,0.03882691,0.030408101,0.020813327,0.0123802675,0.006616378,0.0035653014,0.0024519803,0.002284217,0.0024437215,0.0027166305,0.0032138375,0.00421883,0.006392049,0.010577922,0.017782021,0.027465852,0.03715537,0.042356145,0.04024792,0.031465434,0.020410998,0.011436372,0.0065407115,0.0061723553,0.013155318,0.034359094,0.07581916,0.13413803,0.19483466,0.24008851,0.25966004,0.2517911,0.21936136,0.16829027,0.10999266,0.05936942,0.026254917,0.01072904,0.0058710757,0.0051356205,0.0067250766,0.014720219,0.037243403,0.07912462,0.13363987,0.1812904,0.20291458,0.19236498,0.15977593,0.118723296,0.07991903,0.047456607,0.02489946,0.012793628,0.011418727,0.0207544,0.04203507,0.07460921,0.11222754,0.14662091,0.17115486,0.18622808,0.19390446,0.19639988,0.19183286,0.18026698,0.16399759,0.15062529,0.14695038,0.155973,0.17395882,0.19438143,0.21209545,0.2240652,0.2267202,0.21712518,0.19614525,0.17390205,0.16110861,0.16525845,0.18067826,0.19889961,0.2087677,0.20665972,0.19086413,0.16436197,0.13037872,0.09411106,0.06100334,0.035577092,0.019594872,0.011544895,0.008259068,0.0068746465,0.005852426,0.00493956,0.0042996625,0.004056109,0.004031498,0.0040313504,0.0040108133,0.004059127,0.004198031,0.004287444,0.0041726856,0.0038594843,0.003532977,0.003739158,0.00620198,0.014836977,0.03422335,0.06572845,0.10295113,0.13484342,0.1510781,0.1506806,0.13843592,0.12380907,0.11162403,0.10566368,0.10393572,0.10579383,0.10791075,0.11051857,0.11212396,0.11211299,0.10621966,0.09154121,0.069084026,0.04783619,0.040730596,0.056371976,0.09036084,0.12496003,0.13920325,0.12415875,0.0882489,0.050471637,0.025799518,0.020274417,0.0319619,0.057445392,0.090194575,0.12196517,0.14240517,0.14630844,0.13515897,0.116737545,0.09881657,0.08495257,0.07390667,0.06228453,0.048161108,0.03269634,0.018925617,0.0095572425,0.0048357775,0.0033534265,0.0031853092,0.0032745088,0.0034479825,0.00449784,0.008612342,0.019080495,0.03867255,0.065925874,0.09443876,0.11489076,0.1219702,0.115272634,0.09943392,0.079487994,0.063529186,0.061392307,0.0804001,0.118164994,0.15955745,0.18728633,0.18852179,0.16428083,0.123897396,0.085395575,0.06565434,0.07411864,0.10399846,0.13723497,0.15814218,0.16360074,0.16019632,0.15139318,0.13487954,0.10815936,0.07865561,0.060815886,0.069518894,0.10690928,0.16223526,0.21249942,0.2410541,0.24039268,0.21961094,0.1868939,0.15071082,0.11156005,0.07395578,0.041554015,0.019944362,0.009991918,0.012340148,0.02767083,0.055533696,0.08804208,0.11018646,0.11025107,0.091629624,0.0728667,0.072397925,0.09422526,0.12505543,0.14806402,0.1542504,0.14677006,0.1327678,0.11625951,0.097049706,0.07396794,0.04977055,0.028547063,0.014155158,0.0064664613,0.0038996702,0.004735961,0.0097189685,0.020441009,0.038154155,0.060820896,0.08445675,0.10366934,0.11553851,0.11902636,0.11551154,0.10571133,0.09025049,0.069833614,0.04756567,0.027723894,0.014450605,0.009879109,0.015269637,0.031425986,0.057473857,0.08944488,0.11797741,0.13302,0.1263657,0.10065479,0.0654638,0.0347327,0.015137166,0.006810427,0.004678335,0.005155684,0.007506091,0.013468005,0.025225133,0.041426223,0.05676185,0.06315678,0.057151724,0.041560553,0.02445131,0.011821029,0.005503379,0.004398411,0.0085972985,0.021177424,0.04447523,0.0771262,0.11102752,0.1365506,0.146527,0.14114383,0.1269635,0.11362436,0.10923626,0.114424415,0.122680925,0.1230433,0.11063052,0.09015763,0.07608812,0.08002538,0.10314282,0.13233705,0.15187734,0.15328772,0.14267118,0.13344415,0.13759029,0.15493946,0.1765856,0.18860938,0.1847142,0.16503362,0.14071569,0.12403696,0.1255459,0.14347053,0.1685142,0.19031174,0.20488518,0.21172066,0.2094775,0.19765921,0.18076853,0.16725771,0.16261218,0.16506636,0.16879891,0.16924727,0.16659828,0.1633442,0.16261862,0.16315548,0.16330542,0.1603508,0.15744646,0.15524624,0.15421402,0.14949487,0.1427074,0.13857965,0.14708078,0.1692137,0.19973122,0.22450142,0.23467429,0.22647832,0.20578824,0.18109123,0.15906912,0.14093934,0.12090885,0.09760686,0.078497924,0.08255646,0.121682525,0.18574631,0.24133702,0.25321278,0.21263683,0.14093445,0.0727263,0.028395839,0.009989281,0.009630309,0.024267843,0.053360727,0.09522098,0.13887347,0.17516857,0.19671665,0.20736875,0.20558874,0.19132607,0.15898481,0.11632302,0.075834885,0.056471724,0.0658482,0.100664236,0.14484121,0.18137954,0.20011832,0.2011087,0.19116654,0.17632057,0.1629057,0.15223263,0.14341743,0.12753887,0.10122732,0.06668287,0.03605187,0.016595831,0.010789993,0.016159669,0.0319232,0.05749188,0.08906165,0.12036872,0.1442191,0.15702449,0.15824799,0.15157174,0.14396083,0.14217706,0.1478016,0.15271302,0.14578576,0.12095147,0.08442852,0.048405442,0.022953995,0.009813872,0.006518953,0.012449545,0.032837126,0.07316416,0.13134216,0.19362175,0.2427363,0.26944742,0.2760239,0.27057946,0.2567064,0.23510832,0.2053742,0.17133988,0.13617262,0.10178103,0.069150314,0.040687572,0.02018854,0.008539807,0.0040288903,0.0028877326,0.002903479,0.0030673433,0.003299417,0.0035150098,0.0039633084,0.0072335205,0.019023139,0.046788458,0.09120939,0.14303769,0.18535256,0.20758998,0.20917441,0.19700766,0.17613252,0.15290843,0.13954449,0.152724,0.1988502,0.26391664,0.32023987,0.34452453,0.33207738,0.2914639,0.23709698,0.17879915,0.1257746,0.084139,0.059815947,0.052513033,0.05687725,0.06343288,0.06734315,0.070565715,0.079981744,0.097532995,0.11853948,0.13316931,0.13575344,0.12609573,0.11060688,0.09512543,0.08340759,0.074797906,0.069571845,0.06909507,0.07486252,0.082574375,0.08442641,0.07411942,0.054035794,0.032463975,0.019158324,0.020349734,0.039209142,0.07532982,0.12346959,0.17365678,0.21397667,0.23617361,0.23781027,0.22322379,0.19872582,0.16982435,0.13751543,0.10272735,0.06868825,0.04390706,0.03679746,0.053441513,0.09243367,0.14762297,0.20642596,0.25812075,0.2922916,0.3058381,0.29741362,0.27384034,0.24293478,0.21348298,0.18701763,0.16351898,0.1452642,0.13863055,0.14620954,0.16015492,0.16800205,0.1633512,0.1535991,0.15063916,0.16041277,0.17792965,0.19589989,0.21069925,0.22144355,0.2245241,0.21456647,0.19074722,0.15974933,0.1324739,0.11592519,0.11055786,0.1100888,0.108664185,0.103919,0.09955559,0.10058116,0.109720014,0.12525412,0.14171629,0.15433139,0.16046481,0.16212672,0.16144846,0.1621142,0.170079,0.19882892,0.25901952,0.3456721,0.42680976,0.46262392,0.43062714,0.34601974,0.24758999,0.17370622,0.14043729,0.1405834,0.15418537,0.16276453,0.15731876,0.13860776,0.1117404,0.082019374,0.053788025,0.030782765,0.015752044,0.008722757,0.008676962,0.017413337,0.043180734,0.095330395,0.17012787,0.24200726,0.27461258,0.24870522,0.1796103,0.107564144,0.07157978,0.08747858,0.14437674,0.20938063,0.24682768,0.23535667,0.18347979,0.11727958,0.06322322,0.030335596,0.015165138,0.009288439,0.007651666,0.007934183,0.0113790585,0.023010828,0.05221377,0.104864635,0.17591763,0.24485604,0.2893205,0.29896036,0.2839858,0.26354334,0.25196895,0.25205764,0.25990117,0.27221063,0.28496477,0.29059365,0.27786756,0.24404083,0.19965197,0.16384794,0.14436965,0.13405447,0.11686172,0.08812807,0.054296557,0.029418953,0.021294596,0.032066982,0.054474577,0.07711967,0.08611366,0.07758617,0.058999967,0.047713634,0.0553849,0.08267053,0.11633766,0.13966937,0.1401183,0.11722702,0.081182726,0.04603037,0.021435129,0.010073517,0.011494592,0.027746081,0.06045856,0.10724368,0.1534707,0.18210264,0.17906128,0.14787267,0.101695664,0.058938354,0.028922342,0.014565696,0.014301286,0.02971389,0.06032871,0.101073205,0.13702013,0.15540469,0.14924945,0.12569048,0.094744086,0.06934315,0.05629255,0.059113126,0.072571166,0.08811813,0.09672469,0.09490499,0.083353795,0.06532941,0.044996496,0.026736937,0.013933063,0.0070402226,0.0046710097,0.00541148,0.010084745,0.020690477,0.038154963,0.05969112,0.07838339,0.08689016,0.082119144,0.06904472,0.056266855,0.04986459,0.047964666,0.044762637,0.036370162,0.024490798,0.013508938,0.0063933614,0.003177793,0.0023163548,0.0024363452,0.0028352302,0.003238855,0.0035449623,0.0037523464,0.0039054889,0.0043316945,0.0057899617,0.00978702,0.017642446,0.029575797,0.043393735,0.055066634,0.06144001,0.06350792,0.06788358,0.081036724,0.103143595,0.12470987,0.1340894,0.12590042,0.104243994,0.07798977,0.05353829,0.034698583,0.023388274,0.02302629,0.03363109,0.050489288,0.063171305,0.06371803,0.05130556,0.033278268,0.018570354,0.013360602,0.01973837,0.037150737,0.06248604,0.090339206,0.11475727,0.13037854,0.13421793,0.12535593,0.107857615,0.087521605,0.07017426,0.056930214,0.04756777,0.041270632,0.038554404,0.038952038,0.041955378,0.046081614,0.050062295,0.05290917,0.057097048,0.068027645,0.09108358,0.12695406,0.1679588,0.19990377,0.20622928,0.18010746,0.12992284,0.07724693,0.042813595,0.036362365,0.056286767,0.09432528,0.14197306,0.18907654,0.22848524,0.25205085,0.25718823,0.23965855,0.20295142,0.15209149,0.10202101,0.06544182,0.05219963,0.05948889,0.07742872,0.09368485,0.10137832,0.10102156,0.09804249,0.09835559,0.10518131,0.116935395,0.12936401,0.13490845,0.12820141,0.10673717,0.076249756,0.045424495,0.022778163,0.010797609,0.009293725,0.018361641,0.040559594,0.076437265,0.12233376,0.16734211,0.20010519,0.20866723,0.19098258,0.15035276,0.10141065,0.056693953,0.026668558,0.010770568,0.0049925246,0.0032490678,0.002839479,0.0052042925,0.017268755,0.05094296,0.11164626,0.19036241,0.25980672,0.2957888,0.28934428,0.25328228,0.20288716,0.15020736,0.09996131,0.058205564,0.028766079,0.013592063,0.01175299,0.02558212,0.059680123,0.116894506,0.19045861,0.2639029,0.31764463,0.33858803,0.32653362,0.2899372,0.24099706,0.18730919,0.1347111,0.08692142,0.049188193,0.02464795,0.014975856,0.020885646,0.04342483,0.0821308,0.13010488,0.1730126,0.19333488,0.1809184,0.14049676,0.0892498,0.04710247,0.02666813,0.03294257,0.06360349,0.11065536,0.15947421,0.1971706,0.21896137,0.22844331,0.22718997,0.21032123,0.17399544,0.12520657,0.08117386,0.05492234,0.04658623,0.044676155,0.039675485,0.030426338,0.024096929,0.027471965,0.040418696,0.05549519,0.063154876,0.06179082,0.05935043,0.0680554,0.092824005,0.12540998,0.15088092,0.15729636,0.1475208,0.13482118,0.13440411,0.14970948,0.1719281,0.18704377,0.18456317,0.16195373,0.12565179,0.091794364,0.08285073,0.11411498,0.18177223,0.25740615,0.30580273,0.30436814,0.2599902,0.20026298,0.15616125,0.14149278,0.15032582,0.16630094,0.1761825,0.17503692,0.16199465,0.1381262,0.10552147,0.07255899,0.05005296,0.04869932,0.06982571,0.10534543,0.13778654,0.15102641,0.13709272,0.10394988,0.06917566,0.053259075,0.06594894,0.10449863,0.15273167,0.1918305,0.20702349,0.19521411,0.16347864,0.12416979,0.08806782,0.060052022,0.04011389,0.025913475,0.015838591,0.009174717,0.00543597,0.0037935104,0.0032267494,0.0030365158,0.0029217496,0.002852559,0.0028392766,0.0028572741,0.0028717269,0.0040530716,0.009724668,0.026290676,0.058130037,0.1036435,0.15094876,0.18653087,0.20111595,0.1975298,0.18301748,0.16575111,0.14874525,0.13498625,0.12861781,0.13216569,0.1428098,0.15075462,0.15133847,0.14561325,0.13932939,0.13044462,0.11293938,0.08443228,0.051544767,0.024923481,0.0093468735,0.003318061,0.0025301378,0.006045442,0.016828096,0.039234992,0.07629344,0.12704547,0.186293,0.24351664,0.28605244,0.302863,0.29105377,0.25420845,0.20193903,0.14336737,0.08943641,0.047246467,0.02118172,0.009818184,0.012098789,0.029205874,0.062301636,0.10686966,0.15025622,0.18034059,0.19195074,0.18924779,0.17730094,0.15913028,0.13654694,0.11554938,0.10249639,0.0990611,0.098225825,0.09301853,0.0809955,0.06681917,0.05433223,0.047910612,0.052166346,0.07348662,0.11262181,0.16087197,0.20237422,0.22314642,0.21924944,0.19792224,0.1707353,0.14605914,0.12405222,0.101508625,0.0758011,0.049782034,0.027904188,0.01379587,0.0068743625,0.0045616203,0.0039943676,0.0038487648,0.003787971,0.0038976253,0.0041566235,0.0044793766,0.005583417,0.009956586,0.022997918,0.049638644,0.09014223,0.1352399,0.17154272,0.18929277,0.1886676,0.17484975,0.15114434,0.11868349,0.08092015,0.04621346,0.02183672,0.010393545,0.010772242,0.023695799,0.049831748,0.08498404,0.11584691,0.12798725,0.11501453,0.084472336,0.0505154,0.024775885,0.012164172,0.013926948,0.032660067,0.067457885,0.11085683,0.14613424,0.16138454,0.15523814,0.13898171,0.121781774,0.10584795,0.08719605,0.066055626,0.049033564,0.044679876,0.05589646,0.077195145,0.099750005,0.11562791,0.12234833,0.119270496,0.108490646,0.09118992,0.07071773,0.050385583,0.035299275,0.029467389,0.033147063,0.04183179,0.04862085,0.052755326,0.058788616,0.07246732,0.090103626,0.1018127,0.0987582,0.08210561,0.059930798,0.04047047,0.027658349,0.0229863,0.028529653,0.04451822,0.06558932,0.08130085,0.08518206,0.082479574,0.08497276,0.09946859,0.1196494,0.1371171,0.14950764,0.16228952,0.1748973,0.17950958,0.16766669,0.14272591,0.11552325,0.09498892,0.07967254,0.06401231,0.045644656,0.029511066,0.02370599,0.033111665,0.05688871,0.08634769,0.112537205,0.12987599,0.14307143,0.15639108,0.16923922,0.17104419,0.15536481,0.123531155,0.08663387,0.05371059,0.03000897,0.015069469,0.007886636,0.007500442,0.015254413,0.032744873,0.059513077,0.0904009,0.116807126,0.13095982,0.12861723,0.11131523,0.08393707,0.05522571,0.033589065,0.026352515,0.03433117,0.052064728,0.06927291,0.079077005,0.08250014,0.08695058,0.097445935,0.111214004,0.12026901,0.119202286,0.109594434,0.09682604,0.08496434,0.073630735,0.061003473,0.04626486,0.031419005,0.019007985,0.01105425,0.008206633,0.011355359,0.022047078,0.04203531,0.07084727,0.10369131,0.13185808,0.14537151,0.13874377,0.11355976,0.07905224,0.04604043,0.022393135,0.009505047,0.0056324997,0.0097311875,0.024112115,0.050430655,0.08522052,0.11894544,0.14319171,0.15506603,0.15729529,0.15024622,0.13286863,0.10407379,0.07017291,0.039131757,0.018185174,0.0073868427,0.003971339,0.004834453,0.010490271,0.024125634,0.047039982,0.07638525,0.10333392,0.11994205,0.12085062,0.10756675,0.08422304,0.058413718,0.037681777,0.029109709,0.034189727,0.047859166,0.05948946,0.06101845,0.052454513,0.043407276,0.044888858,0.060756046,0.08359382,0.10029963,0.10144106,0.086865634,0.06384919,0.04101056,0.024459198,0.018468903,0.027274573,0.05391115,0.095145695,0.13995509,0.17415708,0.1905713,0.19101442,0.18165444,0.16442426,0.1398689,0.11307915,0.09711,0.10209998,0.12462032,0.14828412,0.15982552,0.16308509,0.16975118,0.18298972,0.1863635,0.16656967,0.12720942,0.09312794,0.083244614,0.09994912,0.12722689,0.14806817,0.15109736,0.13570571,0.10718003,0.07502296,0.0470008,0.029195018,0.025557041,0.039779216,0.07211549,0.11560878,0.15581691,0.1770606,0.17262857,0.14839713,0.11959371,0.09944781,0.09289803,0.09498188,0.097958826,0.097112894,0.093337186,0.0891718,0.08444326,0.0755885,0.06042183,0.042775784,0.032343145,0.03946952,0.0668126,0.10677264,0.1423892,0.15841238,0.14772886,0.11645615,0.07728531,0.04309507,0.020400822,0.009011615,0.0049549327,0.004024816,0.005260028,0.011539235,0.029437473,0.062746555,0.10869514,0.15475525,0.18951158,0.20637041,0.20981319,0.2042309,0.19581455,0.18626095,0.17978449,0.1760913,0.1729015,0.16271731,0.14049701,0.10650563,0.068741456,0.037712164,0.021293806,0.022272175,0.03827719,0.06389379,0.09046581,0.11054039,0.11869443,0.115479715,0.10408831,0.09085071,0.07932808,0.07043442,0.06010745,0.04636455,0.029982284,0.016081156,0.007365309,0.0039468533,0.0042012385,0.009825736,0.026808038,0.060149465,0.10724341,0.1541214,0.1852801,0.19428688,0.18966936,0.1852286,0.18921621,0.1990838,0.20748438,0.21014883,0.20903005,0.20852788,0.20809758,0.2025619,0.18414617,0.15272471,0.11229307,0.0738904,0.046492428,0.040121824,0.056773473,0.088398375,0.115940966,0.12075389,0.099332966,0.06392145,0.035610557,0.029190421,0.053376313,0.10824483,0.19047292,0.2855403,0.37346616,0.4277095,0.434142,0.3944691,0.3335681,0.2786573,0.24678212,0.23457016,0.23224658,0.23585409,0.2488106,0.27023694,0.2865015,0.28065243,0.24683227,0.19589464,0.14409526,0.100859486,0.06700947,0.04059309,0.021664454,0.010382358,0.005589778,0.007893999,0.02357438,0.06538993,0.13816863,0.2304459,0.3107539,0.35070634,0.33806968,0.2844621,0.21130484,0.1428061,0.09997683,0.09799013,0.1371399,0.20011133,0.25579846,0.27782443,0.25479537,0.1978315,0.12865072,0.07034213,0.03590793,0.029924845,0.0503004,0.09173749,0.14323772,0.192822,0.22955845,0.25094843,0.25348616,0.23557772,0.19506395,0.14598215,0.11204336,0.11739001,0.1613944,0.21853049,0.25528792,0.25879505,0.24222176,0.2254083,0.21146615,0.1874968,0.14473511,0.09302301,0.054718863,0.0498986,0.08452568,0.1482098,0.21363334,0.2506659,0.24246474,0.20190436,0.16155612,0.15141243,0.17605776,0.21325277,0.23394293,0.22413464,0.19415545,0.16562109,0.154629,0.16270374,0.18055932,0.19521408,0.19650204,0.17912424,0.14597382,0.1042474,0.064666785,0.034032077,0.01565152,0.0069697727,0.0042369803,0.0036419474,0.0035563677,0.0034261614,0.0033357746,0.003700298,0.0057526133,0.011717471,0.02401947,0.043221686,0.06673559,0.088838674,0.10452432,0.1129838,0.11973079,0.1326132,0.15544474,0.18200134,0.19777597,0.18850838,0.15231813,0.102552675,0.061993897,0.049626708,0.07227758,0.12014464,0.17048757,0.19825077,0.19040968,0.1530259,0.104179434,0.061255265,0.033558805,0.025038624,0.03864147,0.07482809,0.12712626,0.18004905,0.21678068,0.22749239,0.21284063,0.1800745,0.13705145,0.09240651,0.053411257,0.027355311,0.017649364,0.026607608,0.05175823,0.0854544,0.11234351,0.119071394,0.10176959,0.07051626,0.039463464,0.018378725,0.0079423385,0.004394987,0.004832709,0.010711148,0.027236462,0.058461946,0.10136031,0.14415793,0.17148523,0.17647028,0.16551127,0.15747696,0.16611123,0.19230795,0.21926482,0.23186965,0.22373681,0.20297118,0.1759543,0.1459919,0.113069,0.08589485,0.077644974,0.09820833,0.14047273,0.18359947,0.20381474,0.19375467,0.16471381,0.13992608,0.13320114,0.14299802,0.15351713,0.15283923,0.13992436,0.12462362,0.11501393,0.11032688,0.1036401,0.0899567,0.07301421,0.062455084,0.066822745,0.08509797,0.106170416,0.11815358,0.11975796,0.12122723,0.1304935,0.14289908,0.14489289,0.13395597,0.12296472,0.13253278,0.16633864,0.21024497,0.23731308,0.23158336,0.19274157,0.14038007,0.099095084,0.08801276,0.106698126,0.13856785,0.16362292,0.17745268,0.19208455,0.22340818,0.27132452,0.31958893,0.34617063,0.3408287,0.308475,0.26405883,0.22411372,0.1994211,0.19358224,0.19759427,0.196063,0.17442453,0.13276328,0.08359444,0.042902675,0.018331956,0.009416637,0.012853636,0.027100867,0.049734443,0.07691982,0.10427692,0.13060898,0.15501578,0.17277543,0.1763171,0.16014057,0.12793463,0.09017199,0.06226689,0.057398956,0.08314898,0.13337359,0.19134335,0.23267019,0.24216181,0.21437812,0.16562246,0.121162854,0.11464503,0.15739273,0.2353642,0.30918393,0.34968624,0.35475478,0.34267247,0.32960555,0.31203938,0.28473273,0.25011078,0.22312035,0.21329217,0.21543787,0.21990079,0.21556187,0.20191391,0.1748601,0.13796304,0.09460809,0.056078266,0.028283805,0.013356405,0.0069360263,0.004975068,0.0044215186,0.004215254,0.0039312365,0.0035411622,0.0031127604,0.003650453,0.009490073,0.029580755,0.074017294,0.14203416,0.21580422,0.26471114,0.26808432,0.22707157,0.16455494,0.104469895,0.06276648,0.045648422,0.05954643,0.10596007,0.17420606,0.23375566,0.25331998,0.22021466,0.15348889,0.08445051,0.037252497,0.01589088,0.015899546,0.033591677,0.0737092,0.13907368,0.22678344,0.32022145,0.39966866,0.44591472,0.45124602,0.41622746,0.3507562,0.26834664,0.18528841,0.11474091,0.06463903,0.03453707,0.019490292,0.012773588,0.010097315,0.009215616,0.009948686,0.01304812,0.020377072,0.034572463,0.057734936,0.090298794,0.12903662,0.1724301,0.22253895,0.2857062,0.3590323,0.42407313,0.4532915,0.42808017,0.35396114,0.25327727,0.15561041,0.08006313,0.034952983,0.01521718,0.011606104,0.015948145,0.026139596,0.045993343,0.0758539,0.11195129,0.14434914,0.1715299,0.19645011,0.22368343,0.24656771,0.25230488,0.23259388,0.189878,0.1373516,0.08733165,0.049812093,0.028561799,0.027123481,0.048612043,0.09524319,0.16508937,0.24615979,0.31996092,0.3626999,0.36275747,0.32253096,0.26454243,0.2112761,0.1802094,0.17253345,0.18469168,0.20703678,0.23073669,0.24504332,0.2455009,0.23402482,0.21597628,0.1922766,0.15957327,0.119617425,0.08457953,0.07320046,0.095963895,0.14677006,0.20382671,0.24252217,0.24860771,0.22390015,0.18191262,0.13698737,0.09881783,0.07193935,0.06004021,0.065173306,0.08512776,0.11072602,0.12967025,0.13259105,0.11818251,0.092148565,0.0632035,0.03834781,0.020951614,0.01099148,0.006472754,0.0050430987,0.0048788493,0.0050476664,0.005183341,0.0051978906,0.005505757,0.0077871345,0.016590742,0.038048193,0.077761255,0.13316528,0.19390555,0.24196012,0.26640117,0.2657579,0.25101712,0.22938962,0.20148511,0.16291566,0.11810758,0.082843736,0.07545266,0.1044995,0.1605898,0.22059488,0.2574687,0.25477368,0.21525495,0.15645652,0.101521514,0.06655241,0.060144365,0.079327025,0.11362895,0.14676563,0.16673486,0.16997884,0.16123171,0.14905556,0.14396478,0.15493913,0.18612616,0.2301414,0.27435765,0.30333614,0.30860665,0.28503093,0.23693699,0.17613067,0.12264094,0.092535466,0.089981474,0.10236893,0.11157618,0.10484725,0.08635274,0.0715867,0.0781391,0.11130313,0.1606753,0.20489626,0.22394668,0.21123432,0.17737465,0.14404567,0.12733461,0.12710328,0.1271884,0.113130175,0.083025634,0.049091686,0.023200927,0.009840287,0.0052758735,0.004658791,0.0050060484,0.0054482035,0.0057920213,0.0059282924,0.0058478923,0.0056058005,0.0053594825,0.005226711,0.005287482,0.0054357746,0.0055435784,0.005469279,0.005297682,0.005157428,0.005184649,0.0052901916,0.0053401855,0.0052289055,0.005023211,0.0048454073,0.004829734,0.0050655417,0.0055966885,0.006346395,0.007851067,0.011897248,0.022028828,0.039849672,0.062260807,0.07964563,0.083908714,0.074558236,0.06358441,0.06613209,0.09194819,0.13497426,0.17901666,0.20608334,0.21126623,0.20050837,0.1852663,0.17087428,0.15995575,0.15293683,0.14979653,0.14448254,0.13025264,0.10649401,0.084926546,0.080065556,0.09795592,0.12871039,0.15441282,0.16226818,0.15231542,0.13612892,0.12439918,0.12206164,0.1237646,0.12322936,0.11452756,0.09841085,0.07675778,0.054243337,0.033782195,0.019898564,0.016545553,0.028893113,0.058419198,0.10044289,0.14262265,0.17157619,0.1805768,0.17399603,0.16245665,0.15599364,0.15536974,0.15658589,0.1530348,0.14554113,0.13411418,0.119250774,0.096879296,0.0688136,0.040444937,0.01953539,0.009283499,0.010321527,0.023475429,0.04836687,0.0806523,0.10890464,0.12306412,0.11845693,0.10152653,0.08262736,0.07312443,0.07794868,0.09580145,0.11886921,0.13811266,0.14658122,0.14300966,0.13098054,0.11671302,0.10383179,0.09129586,0.07593515,0.056655195,0.037903424,0.026690675,0.031445112,0.05605249,0.09818374,0.14521907,0.1805345,0.18977071,0.1702392,0.13002717,0.084395535,0.046259385,0.022041427,0.010172057,0.005870631,0.0045842114,0.004201041,0.0040757842,0.005349169,0.010792042,0.02666586,0.05731876,0.103032626,0.15045471,0.18281086,0.18458848,0.16148211,0.13023512,0.11216092,0.110889375,0.11715168,0.11533382,0.09951528,0.07622512,0.060428645,0.06486952,0.09116426,0.12875797,0.1622778,0.17996939,0.17795096,0.15752053,0.12440416,0.0881551,0.062816784,0.06184869,0.08949598,0.1354248,0.17670433,0.19456317,0.18650109,0.17092776,0.1685877,0.1867426,0.21085472,0.21846181,0.19571622,0.14785151,0.09414231,0.055564497,0.04432251,0.060087007,0.09189085,0.12317745,0.13848157,0.13089007,0.10411998,0.06983128,0.039351776,0.01908595,0.008751833,0.004986059,0.0040440927,0.003877953,0.0038069498,0.0058955722,0.015196198,0.04077476,0.08639141,0.14674182,0.2011394,0.23067908,0.22448088,0.1924073,0.15012838,0.11543483,0.09561666,0.091995455,0.09739851,0.102356635,0.09858212,0.086060874,0.07223791,0.06622837,0.070760645,0.080849074,0.08767902,0.08641398,0.07937365,0.07696395,0.08799266,0.1140514,0.14271148,0.15930714,0.15323032,0.12874128,0.0956702,0.06557595,0.042310253,0.026336404,0.01542221,0.008752591,0.0052504316,0.004007349,0.0037665796,0.0037879895,0.00441576,0.008587894,0.022255922,0.05207305,0.09761999,0.14886706,0.18757306,0.20259519,0.19257872,0.16810429,0.1364966,0.103103034,0.06929629,0.04008756,0.019480126,0.008796913,0.0050491933,0.0043198005,0.0042241965,0.0040193703,0.003755911,0.0034891758,0.0044856304,0.009791281,0.024285188,0.048886508,0.07872811,0.10359032,0.118735105,0.12570493,0.12984963,0.12955832,0.12080946,0.10228216,0.08246371,0.07074282,0.07273632,0.085533716,0.103474416,0.11784456,0.12055418,0.10646092,0.07940518,0.05092522,0.034417283,0.037135206,0.057329535,0.085184254,0.10888344,0.11972991,0.11696666,0.104498714,0.08780905,0.06960193,0.051553354,0.035633873,0.02569267,0.026460344,0.040670633,0.066005595,0.09564576,0.12193205,0.14290787,0.1597746,0.17373545,0.17862509,0.16729248,0.13681772,0.09601397,0.05954964,0.041167777,0.0445516,0.062229674,0.07910912,0.08217587,0.068371914,0.0452845,0.024370575,0.013551799,0.016066642,0.032979902,0.063543625,0.10387548,0.144306,0.17444856,0.1848567,0.17374347,0.14363556,0.104445435,0.0675117,0.045695573,0.045780677,0.068022355,0.10421208,0.1434121,0.17461932,0.19137388,0.19254781,0.18438053,0.17650402,0.17586935,0.1802906,0.18159063,0.17155842,0.14854977,0.11567363,0.08073797,0.05432309,0.050125122,0.07743121,0.13333362,0.19807553,0.24610351,0.26066032,0.24562144,0.21612954,0.18779899,0.16335396,0.13907088,0.108929716,0.07506045,0.043377776,0.020994931,0.0090182545,0.0050504887,0.006834695,0.017125325,0.042218596,0.08447221,0.13616693,0.18083668,0.20646022,0.21365637,0.21354842,0.21372837,0.21384422,0.20910044,0.20004994,0.18999426,0.18278296,0.17659277,0.16958998,0.15772396,0.13959827,0.113120966,0.08155479,0.05022983,0.027071195,0.016912805,0.02336818,0.046170607,0.080896065,0.115222834,0.1368298,0.14094982,0.13587578,0.1317991,0.13028732,0.12263314,0.101501465,0.07072531,0.042979315,0.031257194,0.040328074,0.06575052,0.09478343,0.11294168,0.11167997,0.09520274,0.07819871,0.075459205,0.09241781,0.12162282,0.150091,0.16608398,0.16698508,0.15709525,0.145676,0.13861474,0.13775837,0.13823432,0.13371636,0.11799362,0.09153,0.06023535,0.033298004,0.015815014,0.0076531745,0.005032849,0.0058145025,0.010910824,0.024619708,0.049057215,0.083529264,0.12192806,0.16022612,0.19360025,0.21948482,0.23127358,0.2275783,0.21174788,0.1958214,0.18695338,0.18476528,0.17797874,0.1586464,0.1282395,0.1019652,0.095597684,0.11439514,0.14676543,0.17365634,0.18202317,0.17306733,0.15830332,0.14916831,0.14635132,0.14143556,0.123389214,0.09210529,0.05606608,0.027731383,0.011399746,0.005639229,0.006645558,0.015802065,0.03664696,0.0705851,0.10848626,0.13662918,0.14444095,0.13807452,0.13193238,0.14098684,0.16717134,0.20530117,0.2421333,0.2640711,0.2589807,0.22848767,0.18625943,0.1508408,0.13062285,0.12224021,0.11549301,0.10279221,0.08197672,0.059293225,0.04555437,0.053426962,0.0845386,0.13010441,0.172435,0.2006699,0.20959203,0.19997185,0.1744696,0.1442744,0.12536468,0.12726526,0.14123522,0.1479141,0.13309614,0.0999056,0.06259747,0.036662053,0.03241163,0.054408852,0.102523245,0.16630411,0.22839916,0.26781192,0.27472767,0.25123933,0.21111809,0.1684988,0.13393877,0.111011215,0.09989798,0.09933958,0.10878105,0.12506336,0.14248909,0.15326668,0.15338768,0.14373948,0.12907033,0.11309004,0.09635222,0.07853133,0.062178414,0.054534975,0.06154428,0.08219585,0.10581625,0.1201869,0.11820289,0.101884,0.07734918,0.051711097,0.029872196,0.014856762,0.006683063,0.0035022309,0.0027384106,0.0030689912,0.0058834595,0.0151002025,0.03523912,0.064051874,0.09132954,0.101857245,0.09000643,0.062154364,0.03368044,0.015738726,0.013527888,0.028762065,0.060141385,0.10110408,0.13505195,0.1480534,0.13607249,0.113159984,0.09483531,0.08852593,0.08739027,0.08401217,0.079594426,0.082383044,0.09801388,0.12056365,0.13980414,0.14572173,0.13722177,0.11601684,0.088314734,0.05987641,0.038906313,0.031789053,0.04199188,0.06683713,0.098865,0.12796056,0.1459652,0.14875935,0.13929713,0.12513547,0.11613505,0.11720874,0.12667675,0.13667065,0.1396801,0.13166447,0.11350423,0.08844463,0.061703026,0.040093794,0.031592023,0.042654086,0.073297374,0.11614113,0.15737443,0.18523932,0.19242199,0.17937738,0.14960329,0.11072186,0.071621194,0.043802295,0.037886877,0.06203131,0.11444005,0.18210126,0.24342956,0.28210577,0.29380342,0.28529632,0.26371244,0.23104317,0.18620579,0.13262904,0.07985354,0.03930879,0.015615105,0.0060526705,0.004929772,0.0109200105,0.028550936,0.062265527,0.109566234,0.15713698,0.18887179,0.19658905,0.18623953,0.17120217,0.16145445,0.15992379,0.16682781,0.18212517,0.20164292,0.21550208,0.21536058,0.20369285,0.1897043,0.18010455,0.17191571,0.16142039,0.14863794,0.13819419,0.13104577,0.12438092,0.11363546,0.097310685,0.076118454,0.053392395,0.03258827,0.017276315,0.008440717,0.0062365574,0.01079386,0.024099758,0.04585916,0.071872585,0.09278089,0.10240474,0.09980724,0.090553276,0.07829114,0.064005576,0.047172427,0.029953877,0.016263727,0.008153997,0.0049020853,0.005134698,0.010203501,0.024248635,0.048205573,0.075692266,0.09336147,0.09358835,0.08263839,0.0788997,0.09515246,0.12636004,0.15405852,0.16471379,0.16011466,0.14949268,0.13575922,0.114182204,0.08287296,0.049023945,0.022903308,0.008791861,0.005435594,0.012372259,0.03534052,0.078192316,0.13482912,0.18285686,0.19938768,0.17473656,0.12469113,0.075725235,0.052087203,0.060287535,0.09450916,0.13981928,0.1825087,0.2108742,0.21979515,0.20992704,0.18641979,0.15569828,0.123122446,0.09615034,0.08172081,0.083505966,0.09454521,0.10245753,0.096393764,0.076224275,0.049694538,0.026655346,0.012007989,0.005987078,0.00761425,0.018234795,0.040643726,0.07465262,0.11520683,0.15307425,0.18091847,0.19518207,0.19808911,0.19485752,0.19305705,0.19922937,0.21513468,0.23471534,0.24793272,0.24713601,0.23341765,0.21173267,0.18767689,0.16144453,0.13263185,0.10060833,0.06870984,0.041040476,0.021531222,0.010541998,0.0059824823,0.004657225,0.0044442345,0.004379166,0.00423924,0.0040072394,0.0037900573,0.003743234,0.0054117744,0.01213204,0.030857945,0.066531606,0.11987561,0.17862223,0.22439583,0.23652346,0.20946497,0.15349574,0.09210568,0.044592503,0.018084124,0.007621234,0.006307201,0.012142447,0.03067729,0.06616458,0.11692298,0.16529916,0.19152005,0.18013096,0.14040159,0.09359124,0.0666929,0.06962698,0.09874115,0.13585046,0.16230172,0.1634099,0.14027049,0.107985474,0.08945858,0.09736019,0.1267274,0.1590727,0.1778313,0.17814118,0.16522644,0.14752884,0.13228543,0.12479633,0.12645818,0.13121437,0.13036449,0.11932536,0.10461369,0.094598114,0.09256342,0.0915679,0.084424354,0.06863106,0.049930215,0.036121227,0.033654854,0.04183501,0.053795982,0.060176536,0.05887368,0.058086555,0.070656665,0.10203578,0.14346494,0.17831998,0.19262046,0.18468226,0.16074775,0.13003583,0.09711043,0.067581914,0.048924327,0.053567845,0.08606517,0.13904512,0.19078094,0.22209577,0.22560374,0.20948692,0.18437023,0.15843989,0.13727573,0.13325338,0.15608902,0.20353854,0.25112903,0.27148113,0.2522683,0.20776868,0.16462351,0.14495991,0.15414864,0.18335183,0.21252847,0.22286077,0.20101732,0.15283526,0.09583222,0.055614684,0.04781732,0.074298315,0.117847644,0.15237151,0.15652539,0.13029848,0.09224483,0.06571954,0.060059797,0.06995517,0.08196423,0.08601425,0.07876856,0.06316054,0.044867963,0.028804401,0.019613156,0.02204527,0.042779848,0.08394993,0.1404648,0.19440234,0.22695279,0.22693394,0.20570152,0.18654437,0.18896912,0.20764972,0.2194988,0.20432173,0.16490172,0.119731195,0.085525185,0.06324853,0.046756808,0.030919412,0.017800389,0.009363671,0.0059017693,0.0048693498,0.004550636,0.0041429666,0.0036840448,0.0032481747,0.0028768724,0.0026057346,0.002455442,0.0024422288,0.0025613953,0.0027825276,0.0030437736,0.0046445006,0.012908723,0.038456216,0.092486866,0.17445171,0.2669625,0.34064007,0.37755764,0.37921986,0.3652408,0.34815502,0.32594383,0.2851853,0.22107013,0.14530945,0.07804834,0.033703968,0.012192983,0.005815821,0.007341443,0.01675392,0.038364653,0.0762862,0.12810785,0.1843764,0.22997533,0.25096717,0.2395653,0.20054223,0.15124756,0.11637372,0.11602632,0.15337719,0.21211769,0.26333204,0.28362703,0.2646747,0.21796586,0.16423097,0.12791084,0.12309719,0.14929183,0.18621749,0.20972483,0.20683229,0.18806656,0.17634101,0.1894973,0.22445595,0.2604051,0.27338493,0.25490224,0.21746098,0.18279268,0.16487752,0.15919818,0.15401508,0.13918589,0.115846865,0.08725679,0.05961162,0.036311496,0.02238024,0.020119594,0.033008233,0.06392613,0.11329482,0.17155433,0.21950202,0.2403119,0.23203008,0.20974267,0.18888968,0.17432566,0.15763582,0.13171537,0.09647343,0.060641494,0.032123104,0.01484019,0.0067452476,0.0055779465,0.011916871,0.03170016,0.06980053,0.12458489,0.18243171,0.22429669,0.23366474,0.20708127,0.1552367,0.098456144,0.05687141,0.04171216,0.054632485,0.08851651,0.13731784,0.19267733,0.2533724,0.311061,0.36417317,0.40123513,0.42035535,0.40956756,0.3669984,0.29085985,0.19902892,0.112957664,0.052767098,0.02276214,0.018398589,0.03404357,0.06546145,0.10792214,0.1500198,0.18180166,0.19466,0.1899942,0.17120983,0.14913602,0.13365738,0.13496076,0.15235268,0.1770155,0.196431,0.20481543,0.20471512,0.19863516,0.18509148,0.15815254,0.11899517,0.07550732,0.039847493,0.017598048,0.007616507,0.0043770922,0.0036464036,0.0034644825,0.003429616,0.0034694904,0.003457932,0.0033717754,0.0032389236,0.0031583095,0.003625389,0.0062294938,0.015673596,0.03853868,0.08104658,0.13872959,0.19636412,0.23045158,0.23097801,0.20455533,0.17439605,0.15469195,0.14703168,0.13820861,0.11989119,0.0911178,0.061355382,0.04006753,0.034368828,0.044581816,0.06668824,0.0921678,0.112284005,0.11953173,0.11216724,0.09380838,0.072549514,0.05572341,0.04658844,0.043716494,0.04329814,0.04246116,0.039902862,0.035751045,0.030158365,0.023503534,0.016862653,0.0128741665,0.015746789,0.029421978,0.05463432,0.08658414,0.11653141,0.13620292,0.1413715,0.13236384,0.11201482,0.08558979,0.061730962,0.05370331,0.07475201,0.1278189,0.19672912,0.2514875,0.26702663,0.24142148,0.19200093,0.14214933,0.104162455,0.08321291,0.07686106,0.08308458,0.096915185,0.114150785,0.12833023,0.13090011,0.11656397,0.088081986,0.05936469,0.04450074,0.049090404,0.065851115,0.0823457,0.09169584,0.09590069,0.10090107,0.109306395,0.120349415,0.13446945,0.15282701,0.17320178,0.18750425,0.18753107,0.17303525,0.15303789,0.1386146,0.13206215,0.12561326,0.111977,0.09683997,0.097540766,0.12635054,0.17476864,0.2159984,0.22397326,0.192375,0.13706751,0.08444478,0.055883933,0.05898136,0.085003674,0.113865174,0.12480774,0.109624505,0.076454744,0.042762917,0.023798337,0.027953664,0.05649795,0.102591634,0.15184565,0.18832414,0.20624143,0.21011354,0.20747952,0.19715679,0.17402564,0.13607058,0.0916015,0.052864786,0.030822298,0.03070609,0.051210463,0.08283726,0.10891717,0.114586174,0.09627473,0.06453428,0.034413964,0.015161411,0.0066838264,0.0043453462,0.004080123,0.0041892505,0.0052188053,0.009656456,0.021936504,0.043969665,0.07250429,0.09825188,0.11557772,0.12595426,0.13668539,0.14870256,0.15611668,0.15304415,0.14511184,0.14528742,0.16169228,0.18552083,0.19707608,0.18034916,0.13759851,0.0854854,0.043418944,0.02186264,0.023439469,0.046458244,0.08566093,0.13054639,0.16868329,0.19207782,0.19970371,0.19170187,0.1682772,0.13060652,0.08852743,0.055908393,0.046204995,0.06400823,0.10396985,0.15276761,0.1930164,0.21185099,0.20393498,0.17429483,0.13269337,0.09113738,0.06000902,0.046335507,0.050005633,0.06262216,0.071202606,0.06703239,0.05095896,0.031513613,0.016734216,0.009214034,0.006669829,0.0059738145,0.00550877,0.0050372723,0.0047219526,0.004574225,0.004490974,0.0043846196,0.0046739466,0.007440626,0.017178034,0.039832544,0.07755817,0.12540464,0.16982889,0.19692212,0.19770671,0.1757382,0.14294286,0.11488735,0.098866366,0.091213144,0.08219778,0.06803079,0.056370437,0.06089415,0.08951181,0.13817982,0.19048859,0.2287304,0.23949188,0.22321732,0.18715799,0.14390428,0.10299438,0.07575665,0.07468454,0.10854425,0.1716371,0.23761207,0.27401075,0.26063994,0.20571183,0.13647448,0.08356029,0.06320394,0.07493181,0.10548737,0.13858116,0.16094206,0.1659398,0.15428562,0.13390337,0.11780626,0.11557877,0.12721151,0.14124306,0.1466136,0.13831182,0.120674096,0.09777913,0.07340581,0.04924256,0.029188998,0.015657963,0.00892116,0.0063972236,0.0055070217,0.004931055,0.004473451,0.005002411,0.0088230325,0.02048111,0.043911424,0.07863954,0.116197206,0.14308037,0.1478728,0.12833785,0.09333549,0.056417216,0.028732814,0.013161383,0.0076205707,0.009614916,0.02210279,0.051053215,0.099853836,0.15969765,0.20962112,0.22602463,0.19985288,0.14375414,0.08297492,0.03948721,0.022172563,0.031724457,0.063682474,0.11050596,0.15717773,0.18926765,0.19893853,0.19296199,0.18259214,0.17677705,0.17158586,0.15897489,0.13321914,0.10176069,0.07908434,0.077200264,0.096907474,0.12751329,0.15718614,0.17579126,0.18062663,0.1710063,0.15083233,0.123906605,0.09440867,0.067103036,0.050424743,0.058334082,0.10157066,0.17775853,0.26395956,0.32700646,0.34215167,0.3084368,0.24710368,0.18605368,0.14331661,0.12125694,0.110410295,0.099827506,0.08291995,0.060787246,0.038492423,0.021337433,0.01129698,0.0070968657,0.0066687106,0.009255516,0.016376441,0.029744929,0.048652366,0.06873567,0.08304581,0.08630612,0.07674309,0.05838002,0.037471604,0.020670438,0.011364103,0.010683149,0.018460004,0.03258248,0.050091773,0.067848235,0.087096594,0.10991172,0.13577347,0.15960038,0.17641999,0.18535207,0.1860857,0.17713326,0.15633051,0.12660043,0.09485603,0.06752574,0.04683292,0.031976636,0.02315852,0.022065269,0.029444665,0.04143222,0.050374746,0.049857978,0.04049908,0.029712377,0.027726749,0.040381607,0.068988,0.107886255,0.14841247,0.17710347,0.18513519,0.17214377,0.1512293,0.13716537,0.13651793,0.14169,0.14096187,0.1280174,0.10716205,0.08627433,0.07177749,0.063113935,0.057045247,0.048915226,0.039046306,0.03205442,0.03679527,0.059826557,0.098205425,0.1377094,0.15921427,0.15510218,0.13477202,0.11807559,0.11795592,0.13264371,0.1505254,0.15882069,0.15117943,0.12807687,0.097734384,0.07108871,0.057650894,0.05996274,0.0735349,0.08900716,0.098225065,0.098464005,0.092734575,0.08474318,0.07460145,0.060428098,0.042391088,0.024722742,0.012587107,0.009327515,0.016023228,0.031026179,0.050624996,0.06966098,0.086112976,0.100301415,0.11235935,0.1180878,0.112698175,0.095326364,0.07103724,0.046748966,0.027406929,0.014598892,0.00753717,0.0043711914,0.0032320947,0.0029416864,0.0030161564,0.0032729588,0.003544921,0.0036870148,0.0037111556,0.0036896418,0.0036841808,0.003645764,0.003531064,0.0034009453,0.0035915896,0.0046347934,0.006883846,0.009872694,0.012321462,0.013410757,0.015289846,0.023779556,0.044888616,0.077692084,0.11133093,0.13100322,0.12961425,0.11279815,0.092826866,0.0777013,0.06751909,0.058222454,0.047774702,0.036763918,0.02687182,0.018721966,0.0124164885,0.008534723,0.008171639,0.012609986,0.020576686,0.028732726,0.03192913,0.02853044,0.020249084,0.0119350925,0.0062817573,0.0038337803,0.003060096,0.0029502648,0.0029758017,0.0032779127,0.00441716,0.007384637,0.012892418,0.020517675,0.028726602,0.035556186,0.039655745,0.04049772,0.038939696,0.03665584,0.03609365,0.040332798,0.054463506,0.08288449,0.12331454,0.16198093,0.18014306,0.16860104,0.13607387,0.10326109,0.08668181,0.090850346,0.11010754,0.13856645,0.17259236,0.20876168,0.23692447,0.24286073,0.2160549,0.16188294,0.09875432,0.047746953,0.01822473,0.009193699,0.016300851,0.039945647,0.080998264,0.13528462,0.18770368,0.22044651,0.2203419,0.19002056,0.14216933,0.09373129,0.05484475,0.028961226,0.014227006,0.007278694,0.0048746862,0.004761087,0.0074675456,0.016900426,0.04095247,0.08541784,0.14860512,0.21433055,0.2620466,0.27693826,0.2631806,0.23591334,0.21160679,0.197789,0.19497852,0.201656,0.21740335,0.23967986,0.2614549,0.2697132,0.25849068,0.23205163,0.20680027,0.19176424,0.18645458,0.1811676,0.17454098,0.16997288,0.1736256,0.18176693,0.18974636,0.19209683,0.1890161,0.17730321,0.15390615,0.11830748,0.07963466,0.05303159,0.051147133,0.07687488,0.12108028,0.16971427,0.20843256,0.22989784,0.23085542,0.21640666,0.19622187,0.1852632,0.19191249,0.21335687,0.23466064,0.24084832,0.22482301,0.1911347,0.1493499,0.111346036,0.084816895,0.07246911,0.06812859,0.06289788,0.050944995,0.034380402,0.019181682,0.009517445,0.0053091026,0.0041415817,0.0043689827,0.006481393,0.013186703,0.026928365,0.04670568,0.06556436,0.074440695,0.068167366,0.05146657,0.036576383,0.03894098,0.06787961,0.12171421,0.1829532,0.22735663,0.23577793,0.2075867,0.15716486,0.10383461,0.06041402,0.031137384,0.014576155,0.0068528648,0.004217877,0.0038490773,0.0050218333,0.008782293,0.016834997,0.029165586,0.042028446,0.04940039,0.046951145,0.03608593,0.022466162,0.0119102225,0.0063410862,0.004515503,0.00419526,0.0042611957,0.0047977087,0.006666947,0.010704461,0.017069459,0.025027722,0.034066692,0.044239152,0.055803597,0.066705815,0.07317398,0.07118778,0.060463548,0.044127095,0.0275898,0.014777838,0.007315825,0.0042095883,0.0037199415,0.0042201052,0.0048937686,0.0053838124,0.005606612,0.0055651437,0.0053452444,0.005077341,0.0048755147,0.0047837137,0.0047629704,0.004722874,0.004590021,0.004333118,0.00400821,0.0037093398,0.0035592653,0.0035937058,0.0037763473,0.0039798026,0.004108019,0.0041380464,0.004132611,0.0041556912,0.004192569,0.0041849758,0.0040778574,0.0038835127,0.0036502285,0.0034539567,0.0041185445,0.008443405,0.02153943,0.04713274,0.082027785,0.11491265,0.13366325,0.13432372,0.12179682,0.10269722,0.08002453,0.05548473,0.033436522,0.020374,0.020849628,0.034262266,0.05473758,0.07231045,0.07811115,0.068692714,0.049295902,0.02867032,0.014029245,0.00702302,0.0069029457,0.013228851,0.02632949,0.043697346,0.05848973,0.06288655,0.054369707,0.037753303,0.021320911,0.011573211,0.012103832,0.026939064,0.0585514,0.104186915,0.14829318,0.1718248,0.16234952,0.1286558,0.0911974,0.06841231,0.061617482,0.0596936,0.052174997,0.037605662,0.022519635,0.012403619,0.010766287,0.019635504,0.04340135,0.08252001,0.13060184,0.17188717,0.19234367,0.1860319,0.16023673,0.12734956,0.09824136,0.079175755,0.07450476,0.09072263,0.1267124,0.17055254,0.19640611,0.18891966,0.14961128,0.100784,0.060618207,0.037236676,0.026383994,0.024862247,0.03441198,0.059241723,0.09989476,0.1480649,0.19143198,0.2184829,0.22416686,0.20814632,0.17441903,0.13253202,0.09775677,0.08498571,0.099802755,0.13384824,0.17131662,0.19737877,0.20560962,0.19717288,0.17712589,0.15066251,0.12038923,0.08862596,0.058018208,0.032821517,0.015852263,0.007034574,0.0037595092,0.002969295,0.0033303804,0.005605905,0.012860748,0.028782645,0.055207726,0.089273535,0.123447716,0.14873469,0.15887153,0.15247561,0.13243067,0.104208715,0.0750549,0.05210778,0.04016244,0.03859981,0.04242984,0.045544285,0.04502094,0.041898515,0.03899986,0.037704393,0.03669632,0.033457845,0.026909998,0.018483305,0.011369151,0.009008851,0.015492653,0.03475992,0.068644024,0.1109171,0.14756499,0.16175908,0.1466886,0.10929,0.066649444,0.033053994,0.013960584,0.0061305403,0.004548484,0.006288531,0.011521573,0.020196425,0.030602166,0.039003953,0.04292099,0.041810438,0.03737242,0.03215805,0.031234136,0.04141231,0.0686278,0.11044345,0.15561305,0.1875919,0.1956069,0.17900367,0.15016787,0.12860386,0.13168198,0.1583137,0.18708311,0.18873703,0.15516771,0.10396788,0.06880616,0.0703151,0.109400846,0.16563644,0.21172374,0.22419786,0.19695932,0.14463322,0.09224874,0.059400585,0.048866272,0.051969428,0.05788848,0.061743874,0.063065484,0.06293184,0.06192201,0.059687793,0.056129277,0.0509702,0.045509424,0.040600624,0.036637068,0.03237759,0.02778473,0.025381384,0.029325029,0.041464593,0.058146372,0.071809314,0.07557394,0.06834101,0.05514953,0.044547822,0.042542294,0.04960184,0.059898376,0.06622842,0.063928,0.05335359,0.038330395,0.023546867,0.0125151165,0.006198723,0.0036856912,0.0030996874,0.0031169525,0.0032272313,0.0046749157,0.0100106625,0.022622453,0.04102515,0.058855634,0.065538585,0.057770263,0.039576985,0.02166265,0.009904414,0.005276408,0.0043735597,0.005688718,0.009691787,0.019179285,0.03618588,0.061894447,0.092039965,0.11928246,0.13374008,0.13330628,0.12211851,0.10821125,0.093319274,0.07545703,0.053590342,0.032048296,0.016218161,0.007864111,0.0052118325,0.007111199,0.015629971,0.034575272,0.06346641,0.09595559,0.120334685,0.12964894,0.123492114,0.10999567,0.09663356,0.08931112,0.08965232,0.09742036,0.10933199,0.12020662,0.12572728,0.124300234,0.11672571,0.103336245,0.08437397,0.061419647,0.038827937,0.021159867,0.010671977,0.0072736745,0.011455759,0.026781103,0.05611969,0.09730027,0.13958909,0.17088532,0.18302596,0.17687762,0.15769185,0.13359244,0.11184732,0.097818464,0.09195936,0.09051486,0.08905359,0.08530732,0.07964941,0.07249802,0.06481716,0.058380414,0.058442753,0.06957275,0.094122924,0.12582077,0.15480965,0.16992593,0.16737461,0.14911628,0.1226914,0.09850489,0.088768415,0.09982226,0.12446612,0.14196917,0.1349289,0.10260939,0.06328732,0.037728366,0.037720997,0.059295047,0.08979729,0.113886766,0.12453557,0.1215235,0.10949889,0.089969315,0.06544658,0.040992726,0.02654115,0.030484885,0.054942075,0.09199891,0.12761442,0.14902441,0.15156229,0.13760178,0.112089574,0.0820243,0.05887345,0.058713954,0.09016317,0.14433171,0.19314675,0.2101134,0.18990977,0.154256,0.12976812,0.12704241,0.1341077,0.13463156,0.12088633,0.098311104,0.07570003,0.061475694,0.062020313,0.079423755,0.10781753,0.13130414,0.13664176,0.12253496,0.10351216,0.09513246,0.10275171,0.11868939,0.13096146,0.13227423,0.1231912,0.110130124,0.10045934,0.095982164,0.092875145,0.08420292,0.06925792,0.053550586,0.04600893,0.050265003,0.063658945,0.07880899,0.08849752,0.0879487,0.078717835,0.06888386,0.06970347,0.08635178,0.113267146,0.13691263,0.14467755,0.1318123,0.10269352,0.0676861,0.037258435,0.01742047,0.007845354,0.0051366813,0.006799431,0.014006597,0.029137097,0.0521291,0.077231966,0.09553355,0.0995683,0.08851933,0.068845354,0.052002992,0.049038798,0.06312504,0.086966015,0.10700526,0.11723585,0.12325907,0.13751401,0.16384722,0.19565211,0.22066136,0.23306042,0.23440124,0.23121794,0.22816823,0.22627498,0.22441828,0.22188784,0.21983258,0.21955861,0.22202347,0.22838594,0.23833273,0.24878772,0.24977498,0.23128454,0.18858325,0.1311771,0.075013034,0.034741897,0.013261266,0.0056830137,0.004248098,0.004479995,0.004620462,0.004627514,0.0073596663,0.020827625,0.059100967,0.12947464,0.22046077,0.29580832,0.32005948,0.28264287,0.21027964,0.14051999,0.09836158,0.084297754,0.09078743,0.11049015,0.13989441,0.16884871,0.18498571,0.17762078,0.14894256,0.10903075,0.073103644,0.05319655,0.06007099,0.09629216,0.15402727,0.21087955,0.24514,0.2468918,0.22569256,0.19724286,0.17451037,0.16249639,0.16349393,0.17523794,0.1884566,0.18834607,0.16716366,0.1351275,0.11483056,0.12401352,0.15867954,0.19822802,0.2183851,0.21009056,0.18051536,0.15030052,0.13583562,0.14216341,0.15580685,0.16038418,0.14580484,0.12277168,0.10963371,0.12211504,0.15472959,0.18954597,0.2068683,0.20274484,0.18380816,0.15962537,0.1314031,0.09887596,0.06432293,0.037310977,0.02562715,0.03109167,0.04591794,0.05851345,0.05948935,0.048105527,0.030868994,0.016174257,0.007707724,0.004491542,0.003556461,0.0032093571,0.0029470033,0.0027805443,0.002754595,0.0032309655,0.005724618,0.012441523,0.027016154,0.051544894,0.0874932,0.12882282,0.16528495,0.18023461,0.16640507,0.1278326,0.08449606,0.05625987,0.05502181,0.077831425,0.11183133,0.14031452,0.14957781,0.13502984,0.10340824,0.06924731,0.046926346,0.04391511,0.059110668,0.08412684,0.1063099,0.1135267,0.10111026,0.07439267,0.045229528,0.022973096,0.010684841,0.0067042527,0.010859084,0.027372232,0.062174976,0.115952395,0.17970408,0.2354608,0.26712433,0.2669697,0.24318196,0.21055824,0.18613036,0.17703116,0.1822079,0.19246525,0.19931602,0.1992051,0.19396652,0.18644606,0.17560035,0.1600523,0.13949902,0.118864335,0.10212996,0.09293621,0.08966074,0.08941343,0.08698583,0.07983608,0.0675845,0.05279286,0.038179394,0.025803285,0.01652378,0.010752005,0.01020329,0.019709907,0.04654111,0.09444747,0.15639584,0.21477018,0.2511882,0.2583885,0.24268208,0.21867271,0.20150375,0.202285,0.22205941,0.25241852,0.27767655,0.28964993,0.28747106,0.28187189,0.27815166,0.2780107,0.27127135,0.25145134,0.21914534,0.1886109,0.1750317,0.18173738,0.19614385,0.19911782,0.1837818,0.15985811,0.1466173,0.15248145,0.1701412,0.18134284,0.17632057,0.15714478,0.13768858,0.12677397,0.125621,0.123303205,0.11075008,0.085068904,0.05513565,0.033797834,0.033858776,0.06390404,0.12225636,0.19575566,0.2597186,0.29587176,0.29648784,0.2696013,0.22389452,0.16965182,0.11416737,0.06691226,0.0333374,0.014566523,0.006395776,0.0039230753,0.0034987985,0.0043295897,0.0102644125,0.03088206,0.07791131,0.15209542,0.2363261,0.3018352,0.33179712,0.33008572,0.31302568,0.28769687,0.25050727,0.19712788,0.13506083,0.078340545,0.03827081,0.01627181,0.007256273,0.0045799655,0.00400212,0.0040760506,0.006867269,0.01735195,0.041519508,0.07787075,0.11620132,0.14281273,0.15668637,0.16962719,0.19330849,0.22387521,0.24385083,0.2418754,0.21953969,0.19248796,0.1728835,0.17030202,0.18182933,0.2008029,0.21259683,0.21058692,0.1961103,0.1803663,0.1715008,0.16689177,0.1578375,0.13540629,0.105107605,0.08165737,0.08700339,0.13118967,0.20650564,0.2866156,0.344179,0.36666748,0.35966468,0.33516797,0.29853413,0.24804656,0.18495405,0.11893716,0.064406484,0.029297024,0.014100288,0.016747499,0.042659,0.10051464,0.19393654,0.30664638,0.4087529,0.46629238,0.46592808,0.41582775,0.34489083,0.27859858,0.23087633,0.19783168,0.17240064,0.1541015,0.14993894,0.1658361,0.19467066,0.22372483,0.23954761,0.24119405,0.22981428,0.20838912,0.17418325,0.12984248,0.08527722,0.061817765,0.08410237,0.16700025,0.3010726,0.44915405,0.56648755,0.62238085,0.61419684,0.55541474,0.46833467,0.3711134,0.27908942,0.19740419,0.12914109,0.07516625,0.03856732,0.018040843,0.009587208,0.008584272,0.015057509,0.032567497,0.0631195,0.10135025,0.13381498,0.14670151,0.13471425,0.104781926,0.06988788,0.04162169,0.026190767,0.025849065,0.038934838,0.05869931,0.07570861,0.08567234,0.09630513,0.1193645,0.15814318,0.20016651,0.22949582,0.23618865,0.22084303,0.18953629,0.15629889,0.13852295]