[0.00016818228,0.00024543123,0.0004395755,0.0007258092,0.0010433471,0.0012972968,0.0014280793,0.0014211322,0.0013373186,0.0012543411,0.0012395101,0.0013108862,0.001422557,0.0015344816,0.0015989547,0.0016396852,0.0016737824,0.0017460027,0.0018529544,0.0019405171,0.0019473983,0.0018556514,0.0017917723,0.0018739643,0.002125562,0.0023613526,0.0028494329,0.0049497145,0.0112201525,0.022970885,0.03769256,0.04879554,0.050191585,0.04119493,0.027063362,0.014836054,0.0086335065,0.009103828,0.014332431,0.021774255,0.028121645,0.031080151,0.029725352,0.025708864,0.021519313,0.019179411,0.018607562,0.017989619,0.015742509,0.011686969,0.0073931734,0.0041740583,0.0025316556,0.0018887124,0.0016887757,0.0016022472,0.0016017087,0.0017097405,0.0024986628,0.0052191257,0.011825167,0.022215834,0.033728052,0.041004423,0.04188635,0.038165662,0.03614776,0.039674595,0.04958975,0.061884195,0.07210153,0.07543401,0.070355035,0.058638077,0.0452664,0.03441139,0.02681792,0.020765418,0.014659193,0.009080411,0.005093062,0.003179882,0.0026069002,0.0025973713,0.002662071,0.0026786884,0.0026083812,0.0024580816,0.0028754512,0.0056706467,0.0137057565,0.028142458,0.04577607,0.059329662,0.0633888,0.059905056,0.058069255,0.06521392,0.08063006,0.09381788,0.095660366,0.08373856,0.06745838,0.058307033,0.06301982,0.076407194,0.086387806,0.08367795,0.06806544,0.047361642,0.028966099,0.01633848,0.008654808,0.004375753,0.0021752564,0.0012447315,0.0009161571,0.00080913794,0.000777546,0.00081043225,0.00094041816,0.0012402501,0.0017351726,0.002315563,0.0027184198,0.0027204764,0.0023126795,0.0017274799,0.0012312151,0.00094557303,0.002325203,0.008346378,0.02394841,0.04886372,0.0775627,0.09785217,0.10462409,0.09917993,0.091242485,0.08604216,0.086147584,0.09024633,0.097648956,0.1054431,0.10846871,0.102574386,0.08789068,0.069443464,0.051878575,0.037319224,0.025132371,0.015440387,0.00959828,0.009709987,0.016090669,0.026146224,0.034557376,0.036641583,0.0317193,0.024064265,0.01909264,0.019299414,0.022427807,0.024571339,0.023010433,0.018392053,0.013059236,0.009785891,0.009882361,0.012889539,0.016657548,0.018510224,0.01717117,0.013581549,0.010690178,0.011516164,0.017391346,0.026684659,0.035679378,0.04170518,0.04554217,0.050821748,0.058973465,0.067702234,0.07277244,0.074163795,0.07497589,0.07748119,0.078310736,0.07197448,0.056672167,0.03686366,0.019433703,0.008392169,0.003391084,0.0020109331,0.0024283493,0.0043110927,0.0074122655,0.010861519,0.012848608,0.012454833,0.010360728,0.009577989,0.013988781,0.026218861,0.04510459,0.065525316,0.082487375,0.09471879,0.10527125,0.11638653,0.12733047,0.13541847,0.1390468,0.13813068,0.13185883,0.12059436,0.105994694,0.09227138,0.08166062,0.073423885,0.06467799,0.05385835,0.04354194,0.038937524,0.043882262,0.05565968,0.06602034,0.06792416,0.06233965,0.055627245,0.05304626,0.05301137,0.052557975,0.050056428,0.04794201,0.047275405,0.047874004,0.04737571,0.044246506,0.037552733,0.028417869,0.018795056,0.011680368,0.0092171095,0.013211657,0.022473166,0.033279672,0.039154004,0.036719907,0.02701436,0.015684884,0.007131077,0.0029169219,0.0015686009,0.0014440283,0.0015209577,0.0015267566,0.0014190978,0.0012350966,0.0010371777,0.0014824653,0.004252737,0.012726199,0.029050179,0.05257752,0.077435136,0.09807414,0.11049554,0.11561388,0.114953615,0.11267709,0.112147085,0.11429768,0.11307153,0.101054154,0.07664352,0.047659438,0.024077563,0.010898204,0.0066178576,0.0076217665,0.010755825,0.013721633,0.014449456,0.01237609,0.008486118,0.004928947,0.0038822147,0.0082782805,0.022142038,0.047761947,0.08141875,0.11123735,0.12379304,0.11286271,0.08480066,0.053272907,0.030250506,0.019973261,0.01943296,0.02328973,0.027055247,0.028862098,0.028178746,0.02572316,0.023478292,0.02457656,0.031761218,0.044645578,0.060610354,0.07730925,0.09575739,0.117229186,0.13779132,0.14739333,0.13621259,0.105264306,0.06587397,0.032907847,0.01312204,0.005133428,0.0029993781,0.0026403947,0.0023369652,0.0019925782,0.0016956296,0.0015034127,0.0014170763,0.0013973595,0.0013957386,0.0013749792,0.0013289367,0.0012654251,0.0012030941,0.0015480038,0.0032934633,0.00827745,0.017764285,0.031746875,0.047839146,0.06265372,0.072597444,0.07587603,0.07364014,0.070336066,0.07155294,0.08046419,0.09487813,0.10875577,0.11487299,0.11059088,0.097464435,0.08181089,0.06886145,0.062181998,0.06143977,0.06475878,0.06929786,0.071660064,0.069215186,0.060330372,0.0467459,0.03156135,0.01860626,0.009550435,0.004573437,0.0025662638,0.002580639,0.003731773,0.005251569,0.0062107667,0.006116438,0.005087586,0.0038831523,0.0030979502,0.0028886807,0.0029290451,0.0029315772,0.003008528,0.0037856984,0.007101053,0.01520478,0.030478984,0.050856918,0.07096165,0.08303937,0.086649336,0.08719023,0.09227643,0.10043629,0.103354044,0.09394155,0.0757627,0.06177488,0.06375363,0.08357972,0.109342396,0.12475601,0.118890904,0.095948935,0.068438806,0.048547834,0.038239133,0.03408259,0.031532384,0.029498642,0.027087187,0.023686336,0.01893653,0.014143783,0.010663825,0.008779483,0.007789454,0.0069628996,0.0062496145,0.0057785506,0.0055335606,0.00521063,0.0045013526,0.0034658758,0.0024362367,0.0019884084,0.0027110204,0.004994487,0.008815738,0.013064814,0.016162356,0.01652306,0.014320489,0.010975172,0.008741591,0.008898899,0.011904662,0.017058827,0.02300358,0.027392646,0.028188564,0.02463043,0.01818977,0.011297133,0.006014839,0.0029355318,0.0015821005,0.0012319383,0.0027493623,0.009369726,0.02625242,0.054303925,0.086796075,0.10926042,0.11110669,0.09201303,0.06318634,0.036544748,0.018698549,0.009143692,0.00517311,0.004714463,0.007691991,0.014816525,0.02655285,0.041659158,0.056441527,0.06557824,0.06436328,0.05279136,0.03548466,0.019559806,0.00908387,0.0043239025,0.0027999154,0.002490088,0.0024166743,0.0024297554,0.0026912848,0.004453916,0.010588425,0.02531525,0.050061956,0.08122433,0.10949894,0.12775485,0.1337836,0.13187899,0.12440107,0.11163649,0.091575146,0.0664069,0.040959883,0.02096095,0.008673283,0.0030612291,0.0013298722,0.0010722075,0.0011058663,0.0010911059,0.001047355,0.0010160733,0.001080364,0.0013788914,0.0020350178,0.0031249588,0.0051635285,0.009429078,0.017698772,0.029870456,0.043615747,0.05496013,0.06258168,0.06629344,0.06650668,0.060762048,0.04864541,0.032631487,0.019504981,0.014957628,0.021958495,0.038588617,0.059367444,0.07697375,0.08689333,0.08990812,0.09076897,0.093126714,0.096461624,0.09719201,0.092000775,0.08176792,0.07156846,0.06933055,0.07796283,0.093403995,0.104889244,0.106134616,0.09807237,0.08762983,0.07847982,0.0699181,0.060988154,0.055070594,0.058788598,0.07574046,0.10389048,0.13469185,0.1583799,0.16682541,0.16091199,0.14768602,0.13862945,0.13818043,0.14462622,0.14814909,0.14077927,0.11834043,0.08687514,0.056927238,0.039235044,0.037059154,0.047179937,0.06250622,0.07687708,0.086618476,0.09121889,0.09149944,0.0891437,0.085656345,0.08357486,0.08606744,0.09543181,0.10970747,0.12070719,0.11859263,0.09913576,0.068754174,0.03923564,0.019516775,0.010427732,0.0076850024,0.0072686984,0.0084117465,0.013413397,0.024083039,0.04077502,0.059866566,0.077087104,0.08715081,0.08855691,0.08171772,0.07106366,0.061470833,0.05924653,0.06766868,0.085331164,0.102862574,0.10974225,0.100825936,0.082440354,0.064881615,0.055980068,0.05609882,0.065054946,0.08477453,0.11913886,0.16560982,0.21161644,0.2390219,0.23463856,0.20079191,0.15183704,0.10762409,0.081647515,0.07988972,0.09702826,0.12231642,0.1444362,0.16050382,0.17141719,0.17578049,0.16816789,0.14766113,0.12298161,0.10338232,0.09083886,0.07830434,0.06328213,0.05061129,0.04949422,0.060848206,0.07752323,0.09014053,0.095741965,0.09593911,0.09163105,0.08064191,0.06216097,0.040090542,0.020987524,0.00890498,0.0034093696,0.0016724394,0.0012764623,0.0011795621,0.0011322057,0.0011003402,0.0010531639,0.0009877235,0.00091938575,0.00087074464,0.0008534131,0.0008664617,0.0009020416,0.000958482,0.0012996382,0.0025190008,0.006081415,0.013821002,0.027779197,0.048017472,0.07125925,0.0915483,0.10304963,0.106093705,0.1041298,0.103646874,0.10451501,0.10712307,0.10920898,0.11377212,0.119018055,0.121928595,0.11629195,0.10297965,0.08744201,0.077160336,0.07308865,0.071092375,0.06489701,0.0524043,0.036116075,0.021930983,0.015980847,0.022710288,0.04383265,0.07529634,0.10829312,0.13152216,0.14136146,0.14203702,0.14411686,0.15007788,0.15502779,0.14699863,0.12270974,0.08648297,0.051049005,0.024470635,0.009880996,0.00378328,0.0025830807,0.0032454897,0.0045253304,0.0055006756,0.0057081836,0.0055073607,0.0067851054,0.012905019,0.02689063,0.049035344,0.07521265,0.09770751,0.10849744,0.10314939,0.08429641,0.060511556,0.04182749,0.03339173,0.034197748,0.0403299,0.04896478,0.058459055,0.06650028,0.07039458,0.06948226,0.065767914,0.061750516,0.05814975,0.054941714,0.052587915,0.052640628,0.055631578,0.0609801,0.06610525,0.06763145,0.06234032,0.05008022,0.03468136,0.02238875,0.018817617,0.02660551,0.04426153,0.06615864,0.08465474,0.09399455,0.09308527,0.08490771,0.07427874,0.066082776,0.06415164,0.07097181,0.085091315,0.10312406,0.117874384,0.12467804,0.11913186,0.10345501,0.081540786,0.061523903,0.049088255,0.047290266,0.053735077,0.06285403,0.06847475,0.066916615,0.05858065,0.047205985,0.036677655,0.029557744,0.026254622,0.02770559,0.03390224,0.043996464,0.05399682,0.06055223,0.061268385,0.05679785,0.047808636,0.036034252,0.02337794,0.012652948,0.0055390303,0.0020677454,0.0009158894,0.0007403749,0.0008903309,0.0012874467,0.0021107462,0.0035588045,0.006314835,0.011583687,0.020872125,0.033376977,0.045329142,0.05061623,0.04617266,0.033829127,0.01977442,0.009088028,0.0036131528,0.0020509697,0.0027266818,0.004470261,0.006633373,0.008535024,0.009982474,0.011685393,0.015658544,0.024528548,0.039727982,0.05903997,0.07542205,0.08073322,0.07110852,0.051026236,0.029753312,0.016117506,0.014277332,0.024163371,0.04266237,0.064100705,0.0824959,0.09329227,0.0956308,0.090395235,0.079954945,0.06761302,0.05772377,0.052657843,0.05068211,0.047465112,0.04114093,0.035558473,0.037485614,0.051807348,0.075900815,0.102340244,0.12020435,0.123384036,0.11104373,0.09190435,0.07829666,0.08015504,0.097103834,0.11820263,0.13127328,0.1303347,0.11861057,0.102188855,0.0861508,0.07504473,0.07381857,0.086394034,0.109658144,0.13380615,0.14811586,0.1492176,0.1424516,0.13694102,0.13820024,0.14612304,0.15344703,0.15258637,0.13817428,0.11560413,0.09582997,0.089994185,0.09752032,0.1068883,0.104500495,0.08670362,0.062842794,0.047033984,0.047753546,0.063097626,0.08271626,0.09539931,0.0940792,0.08026833,0.059944373,0.040378135,0.025207207,0.015544164,0.010408764,0.008457183,0.008407109,0.0099019995,0.0129461,0.017225644,0.021006614,0.022801416,0.02183777,0.019356936,0.016441599,0.013925963,0.011490959,0.009274517,0.007537971,0.006743094,0.006723738,0.00746276,0.009171814,0.012374277,0.016395522,0.019615518,0.019934231,0.017021658,0.012200098,0.007902613,0.0055826814,0.005356345,0.0062466953,0.007264551,0.00778857,0.0076080025,0.006700918,0.005453736,0.00460827,0.005271912,0.007934593,0.012197893,0.016407246,0.019583987,0.023004564,0.031132722,0.048208218,0.07318757,0.09863046,0.11480686,0.11828402,0.11216166,0.10269225,0.09153473,0.07730859,0.059038054,0.039893966,0.02471281,0.01591255,0.012268953,0.010621668,0.008901946,0.0067558005,0.0048759687,0.0037165026,0.0031603945,0.0028362684,0.0026738693,0.0030540389,0.0044655805,0.006909657,0.009772691,0.012281188,0.014151081,0.015540772,0.016395025,0.016167048,0.014260162,0.010942985,0.0073211216,0.004960763,0.0054447595,0.0101608215,0.019767672,0.033124212,0.047720104,0.060573995,0.06934171,0.07174584,0.06592448,0.052252397,0.034526613,0.018470982,0.007824861,0.0027978427,0.0011598794,0.0008173329,0.0007424904,0.00071007776,0.00070005766,0.0007022487,0.0007199181,0.0007662741,0.0008545091,0.0013900707,0.0035193597,0.009555138,0.021648308,0.040867638,0.065459765,0.091524966,0.11248761,0.12132609,0.11317409,0.089761935,0.059310157,0.032046396,0.014522351,0.007836037,0.01035579,0.01933582,0.03129432,0.042045504,0.04958068,0.055894177,0.06354367,0.0715282,0.073434554,0.06482191,0.046898544,0.027326187,0.012492952,0.004683951,0.002128128,0.0031296003,0.007570091,0.01538185,0.025139196,0.033549566,0.03846322,0.040104676,0.04171778,0.04757142,0.061015923,0.08280434,0.109223925,0.13373524,0.14838314,0.1494146,0.13738467,0.11882388,0.100058846,0.08638961,0.078007095,0.07426327,0.07356309,0.07605637,0.08011528,0.08259219,0.07889521,0.06757474,0.05096905,0.034293648,0.021577487,0.014686782,0.013310445,0.016148679,0.021251211,0.026598534,0.030949699,0.034141086,0.036727954,0.03899021,0.04076976,0.04215357,0.044843674,0.05145659,0.06335134,0.0769962,0.08568234,0.08433535,0.07577296,0.06891692,0.070445485,0.078706115,0.084246136,0.08045613,0.06747733,0.05394813,0.048026994,0.054533225,0.06961461,0.086013384,0.096172094,0.10103208,0.10533617,0.11362159,0.121517695,0.122677535,0.114139445,0.10158023,0.092615165,0.091324985,0.095194615,0.098413765,0.09637758,0.09002682,0.08526119,0.087232016,0.09432436,0.09825585,0.09277189,0.07862074,0.063095726,0.051365655,0.044424165,0.039610196,0.03556248,0.031861614,0.0286599,0.025082782,0.020522024,0.015013226,0.009682591,0.005565858,0.0031559253,0.002055689,0.0016346475,0.0013826209,0.0011615524,0.0011747218,0.002084236,0.0053741145,0.012845739,0.025449991,0.041614205,0.057348955,0.06818959,0.07101046,0.06550119,0.053324413,0.039148197,0.028419951,0.025579676,0.030134475,0.037880424,0.04487923,0.05025184,0.055389848,0.05893126,0.05802408,0.05067749,0.041141614,0.035647623,0.037821252,0.043735135,0.046494156,0.041994464,0.032821264,0.025573662,0.026261682,0.036922675,0.05421786,0.07041607,0.07706212,0.071452044,0.05973274,0.053203676,0.058143187,0.071242616,0.08332017,0.09077108,0.096945204,0.10677993,0.1167051,0.118587844,0.106875874,0.08516142,0.060831163,0.03981678,0.024209255,0.014600657,0.011183947,0.012563436,0.015727809,0.016909815,0.014753672,0.010167612,0.005743269,0.0029667497,0.002469429,0.0043084887,0.00880782,0.01529977,0.02150731,0.024304545,0.022195384,0.016464818,0.01050358,0.007524101,0.009816988,0.017802484,0.030633144,0.044896767,0.05691265,0.06300378,0.062853254,0.057377327,0.0491472,0.039237484,0.028887367,0.018807478,0.010550242,0.00494664,0.0020722356,0.0012337371,0.002111702,0.0056852843,0.0133120455,0.025866529,0.04109021,0.055687755,0.066586845,0.075616024,0.085840695,0.09967548,0.113681935,0.1226938,0.12122274,0.1081978,0.08559922,0.059808347,0.038426064,0.028343318,0.03134543,0.04317647,0.05529149,0.05987223,0.055159215,0.045558747,0.037492994,0.033225108,0.030520314,0.02642908,0.02145399,0.018655298,0.020002251,0.023730354,0.026123926,0.024474233,0.019754428,0.015274436,0.014574838,0.017874269,0.022352075,0.023668097,0.020254288,0.01360948,0.0074884794,0.00445508,0.0056177583,0.0102382125,0.016700648,0.022558173,0.025961198,0.026577309,0.025318146,0.023003064,0.019490063,0.014988373,0.011175558,0.011370693,0.018032128,0.029769631,0.041009206,0.04486539,0.038996447,0.026567662,0.014123038,0.005788345,0.0026789412,0.0040843366,0.010289156,0.021412728,0.03603193,0.05041961,0.06053865,0.06394427,0.060183924,0.05107546,0.03997336,0.032345105,0.032115888,0.04005454,0.050948396,0.058170453,0.05642617,0.046344295,0.03189023,0.018507907,0.00927419,0.00560731,0.007706875,0.015498553,0.027213017,0.039863903,0.050593764,0.05946635,0.067571856,0.07530252,0.08016491,0.08016164,0.074976705,0.066714056,0.057140544,0.04725212,0.03733015,0.0278333,0.019371824,0.01263276,0.008428209,0.0076393266,0.010494801,0.015890086,0.021287406,0.023963975,0.022593446,0.017856697,0.0119036585,0.0066997255,0.003324989,0.001618926,0.0010531767,0.0015643854,0.0052161445,0.016623653,0.040681306,0.07653919,0.11503855,0.14317615,0.15540926,0.15626742,0.15437824,0.15110861,0.14252067,0.12565033,0.10582777,0.090374134,0.083751895,0.082036175,0.07907011,0.068912335,0.05234329,0.03321227,0.017557157,0.007582454,0.003016538,0.0013486178,0.00092891045,0.0010987282,0.0024270825,0.006386902,0.014721158,0.028535858,0.046661954,0.06451473,0.0758317,0.07602052,0.06755198,0.05755502,0.054125328,0.05805288,0.06551735,0.07032914,0.07098589,0.06807557,0.063985795,0.059201106,0.054663975,0.050502207,0.047156107,0.04371148,0.040040057,0.036219165,0.03284775,0.029157983,0.024329124,0.018106338,0.011783737,0.0066824458,0.0035440477,0.0020818235,0.0016896023,0.0017110718,0.0017582405,0.0020764952,0.0038785134,0.0090475585,0.018319651,0.029675394,0.038832437,0.042779136,0.042091414,0.04041596,0.04044828,0.042806312,0.04520814,0.045369122,0.040870044,0.0325131,0.023680763,0.021113062,0.030743038,0.05490324,0.08880719,0.121803194,0.1422861,0.14383717,0.12801765,0.10173888,0.07398004,0.051878598,0.03952017,0.036067758,0.037706103,0.040103633,0.04140185,0.04241048,0.044142347,0.046700787,0.048432734,0.048890207,0.04827163,0.047440197,0.045371633,0.04058574,0.032607667,0.023059065,0.014465998,0.008250162,0.0045647775,0.0025862448,0.0018109813,0.002048123,0.0034159962,0.005506497,0.0074057295,0.008153004,0.008113151,0.008991151,0.012623422,0.01862521,0.024277681,0.026222788,0.023438327,0.017435577,0.011078507,0.0061535984,0.003201875,0.001706935,0.0011499105,0.0010509979,0.00114928,0.0014869059,0.0024952623,0.005112268,0.009744371,0.01606411,0.023078702,0.031226004,0.04263426,0.05811291,0.07405602,0.08278229,0.080588974,0.0721092,0.06788845,0.07496973,0.09062276,0.10661721,0.11355976,0.10846458,0.09183663,0.06960245,0.047162876,0.029429505,0.017249515,0.009792307,0.005368794,0.0031091727,0.002944023,0.005627085,0.01230029,0.023855725,0.03959604,0.05694173,0.07064438,0.075381696,0.06807912,0.05221698,0.0353239,0.024794675,0.021970242,0.02349227,0.02572505,0.027936192,0.03127972,0.034724742,0.03564669,0.031397052,0.023100132,0.013770364,0.006756628,0.002861737,0.0014120522,0.0010342152,0.0010046014,0.001036452,0.0011055893,0.001162945,0.0011594833,0.0010813373,0.0009633918,0.00096988986,0.0020678684,0.006278577,0.016559824,0.033533216,0.05464149,0.074303664,0.09032778,0.10438955,0.12024937,0.13680188,0.1499011,0.15553142,0.1541856,0.1459034,0.13008173,0.10481695,0.074080266,0.04472181,0.024984566,0.01780779,0.021852473,0.032009494,0.04251997,0.048564136,0.047665313,0.040386986,0.029782103,0.020115625,0.015337952,0.017580437,0.026311303,0.03798089,0.047605593,0.05173113,0.050410274,0.047495037,0.047499638,0.053890523,0.06679141,0.08358946,0.098929785,0.10709559,0.10486153,0.09403527,0.08079779,0.07176303,0.069500364,0.07193217,0.0740819,0.07208017,0.063798904,0.050209075,0.03402781,0.019325329,0.008911382,0.0033866912,0.0013015108,0.0007957441,0.00072271423,0.00068366487,0.0006462632,0.0006151056,0.00059407804,0.0005834845,0.0006120167,0.0011339536,0.00358013,0.010364904,0.023048082,0.040099535,0.056569774,0.067474894,0.07091737,0.06907909,0.065214,0.06239832,0.06146717,0.06199335,0.061191916,0.056845397,0.047922865,0.036360335,0.024963884,0.017032515,0.015285455,0.02215282,0.037682604,0.05809441,0.0760557,0.08567816,0.08647997,0.08308514,0.07987363,0.077882595,0.07590868,0.07344528,0.07108838,0.06847695,0.06412988,0.056413878,0.046855744,0.039266005,0.037915234,0.04286644,0.050174966,0.055072322,0.05645464,0.056905363,0.058645774,0.060965657,0.06115188,0.058498826,0.054419342,0.051157072,0.04829353,0.04430029,0.037452668,0.029088242,0.022271978,0.021308573,0.027929625,0.041398447,0.057445228,0.07156057,0.07867545,0.07625421,0.064303,0.047853824,0.03405183,0.028884588,0.032952745,0.042181727,0.051293295,0.057163987,0.05977035,0.060022563,0.059017878,0.056598693,0.052928228,0.047812704,0.042206302,0.036574796,0.031248162,0.025546463,0.019428028,0.013440409,0.008741703,0.006129731,0.0064718216,0.010587682,0.018836893,0.029854886,0.041133653,0.052172575,0.06762307,0.09704555,0.14461245,0.20086217,0.24093117,0.24302451,0.20324235,0.14062987,0.08044088,0.03931086,0.01899759,0.012584641,0.011877503,0.011439152,0.0094354525,0.006360589,0.0035807937,0.0020143306,0.0022095123,0.0052086376,0.012321442,0.02394935,0.037112404,0.047314078,0.051591873,0.053194743,0.057687093,0.0672342,0.07617749,0.07687647,0.06779136,0.05498788,0.0465755,0.045396652,0.050463255,0.059026778,0.06958728,0.078806974,0.083434336,0.0814842,0.075258166,0.06826187,0.062151853,0.055704325,0.04670668,0.035701513,0.025200473,0.018758038,0.017305933,0.019574597,0.023145745,0.026944296,0.03207873,0.039686788,0.04895021,0.055790734,0.05598702,0.04822698,0.035298806,0.021986233,0.012037013,0.00767803,0.010159099,0.020304196,0.037124474,0.05661429,0.073044084,0.08196816,0.08289531,0.078914754,0.07402984,0.07018619,0.06627257,0.05998765,0.051106054,0.04247074,0.037712563,0.038225774,0.042422015,0.0482114,0.053255904,0.055609386,0.052476,0.043353487,0.030227507,0.017523142,0.00836164,0.0035212005,0.0016402571,0.001139747,0.0010393133,0.0011876766,0.002234378,0.0058754478,0.0143860625,0.028966641,0.047553986,0.06430606,0.072759144,0.06998985,0.059101406,0.046186257,0.036669966,0.032537047,0.03344966,0.03780189,0.0435793,0.049172904,0.053672582,0.057590365,0.061466675,0.06590488,0.07039541,0.07376527,0.074191,0.07051339,0.06424416,0.059539843,0.06221066,0.074259736,0.09296453,0.11132127,0.1248214,0.13236617,0.1344869,0.12963462,0.11480519,0.090663634,0.06187753,0.036416862,0.01971882,0.015147291,0.022215502,0.038107645,0.05565895,0.06759304,0.06969642,0.064980276,0.05857247,0.053881664,0.049153388,0.042236254,0.032387726,0.022057526,0.013729396,0.009881261,0.011311467,0.017955802,0.028766662,0.0430643,0.06043914,0.0784679,0.09273067,0.09869074,0.09616363,0.088436715,0.078431405,0.06707243,0.05397935,0.041512873,0.03200474,0.027494969,0.027068362,0.029727936,0.03469783,0.04164513,0.04932514,0.054792788,0.055521652,0.051081285,0.044352073,0.039207473,0.038470175,0.042415857,0.049281392,0.05650555,0.062441126,0.06635835,0.06787071,0.06544483,0.05840659,0.04761376,0.036384642,0.027642861,0.02368371,0.02590918,0.035239536,0.050306667,0.06676649,0.07923249,0.08453638,0.08307659,0.07712818,0.06927229,0.061223935,0.054454397,0.0488795,0.043744236,0.038111314,0.033429313,0.032582954,0.037321422,0.04559655,0.052217826,0.052840542,0.046445057,0.035646595,0.024050115,0.014463481,0.007969902,0.004253992,0.002405312,0.0016371072,0.001751535,0.0029935986,0.0054289247,0.008812714,0.012561639,0.01655305,0.020570664,0.024020113,0.025484547,0.024123432,0.02043949,0.016117627,0.012683655,0.010971986,0.011313043,0.013713367,0.01760229,0.022030966,0.026272973,0.030068794,0.033249956,0.035379227,0.036190573,0.035749774,0.03460862,0.033395257,0.032889828,0.033058155,0.0328545,0.030364873,0.025142988,0.01879956,0.01462157,0.014692947,0.01867244,0.023731718,0.026859097,0.02690977,0.025154186,0.023653494,0.023183608,0.022846838,0.02125523,0.017922098,0.013463136,0.008998916,0.005416343,0.0030547958,0.0017582652,0.0011692644,0.0014794013,0.003740412,0.010048238,0.02142363,0.037079234,0.05319771,0.06611154,0.0726357,0.07257097,0.06687827,0.059135064,0.05258009,0.049413305,0.048039306,0.04555962,0.039695386,0.03108702,0.021810351,0.013876113,0.008088503,0.004411408,0.0024580958,0.001781877,0.0021705462,0.0039745537,0.008733428,0.018456286,0.034193646,0.053291786,0.070394985,0.079851784,0.08071816,0.07568225,0.06946438,0.06426938,0.061451223,0.061050158,0.06338806,0.06585774,0.06472926,0.056893665,0.04501057,0.036065042,0.036512878,0.04619093,0.05773044,0.06298725,0.0581568,0.04658678,0.034090154,0.026049457,0.023797365,0.025948048,0.02953606,0.033118114,0.037784427,0.04568011,0.058223654,0.072805814,0.08605134,0.093835,0.09714726,0.097790994,0.09888468,0.09866577,0.09442627,0.083556436,0.0677779,0.050670043,0.03570213,0.02426198,0.016522096,0.012151949,0.010432269,0.009997391,0.009376944,0.007886256,0.0058401637,0.0039959936,0.002851521,0.0026580177,0.0036272637,0.0057622637,0.008513697,0.010787723,0.0119563965,0.012484376,0.013776191,0.016623804,0.020492138,0.023723746,0.025350405,0.025582405,0.025817638,0.02728173,0.03088664,0.03649794,0.04253723,0.046306897,0.046381462,0.04538499,0.04837023,0.05740444,0.06752028,0.06997057,0.0606886,0.04417349,0.030221121,0.025480764,0.030430704,0.04042134,0.050656226,0.057724547,0.061584204,0.06474704,0.07212114,0.086018525,0.10388321,0.117570825,0.12061008,0.11142507,0.09545333,0.07888001,0.06715524,0.062233537,0.06424868,0.06999729,0.073717296,0.06979018,0.056579974,0.038252074,0.021095088,0.009506724,0.0037738727,0.0023748481,0.004289786,0.0097221555,0.018231073,0.02798988,0.036341075,0.042639192,0.04755209,0.052831184,0.058406096,0.06456396,0.070098236,0.073587865,0.072048776,0.065410964,0.057872582,0.05605042,0.0636416,0.07697749,0.08902242,0.09329313,0.08968044,0.08111597,0.07138654,0.06184515,0.05322839,0.04726212,0.04622331,0.05136391,0.06046359,0.06870079,0.07053399,0.06443445,0.054461647,0.048617464,0.051506367,0.06093393,0.0691303,0.07019654,0.0630439,0.05069105,0.0364769,0.02302307,0.012297389,0.00538657,0.002397882,0.0027920732,0.00663327,0.013503689,0.02169395,0.027391,0.0277901,0.02257543,0.014829293,0.0078051104,0.0034427987,0.0014430168,0.0008334335,0.0007098478,0.00070245634,0.0006959159,0.00068366854,0.0007260917,0.0009374178,0.0019866002,0.0049696355,0.01191036,0.023387374,0.03862868,0.05307439,0.06274126,0.06414474,0.05935955,0.05266704,0.050841074,0.056761146,0.0685288,0.07836503,0.078936934,0.06835031,0.052909296,0.041779224,0.040687945,0.04817528,0.058333892,0.06563053,0.067780375,0.066076644,0.0632203,0.061499998,0.06155177,0.062162295,0.06203044,0.05974364,0.05530187,0.048780035,0.041661747,0.035488684,0.03155921,0.029443577,0.027152248,0.023243228,0.01775963,0.012906442,0.010451488,0.010780364,0.01216766,0.012464792,0.010669515,0.007511413,0.0048222695,0.0041207573,0.0059806774,0.010118961,0.015368395,0.020059949,0.022096833,0.020445572,0.015630623,0.009781702,0.0049785343,0.002189175,0.0010742648,0.0008086988,0.0007864298,0.00076688424,0.0007250448,0.00067474734,0.00063445274,0.0006112522,0.0006081462,0.0006169451,0.0006243316,0.000619932,0.00060425204,0.00076073967,0.0018042251,0.0053241514,0.013172942,0.025758376,0.040870335,0.054651756,0.06495377,0.07202729,0.07686937,0.07747071,0.07083898,0.056194294,0.03874149,0.026637867,0.027512884,0.043444466,0.07074756,0.10083548,0.12506954,0.13723986,0.13495804,0.11894884,0.0932133,0.06469672,0.040666413,0.026049739,0.022415286,0.028736807,0.042225976,0.05752018,0.06867216,0.071365215,0.06663131,0.059699725,0.056492288,0.05964351,0.06716804,0.07540263,0.08095485,0.083146565,0.08288897,0.08192685,0.081426986,0.08176186,0.084340066,0.09101391,0.10379385,0.12026358,0.13387637,0.13616066,0.12428234,0.1038017,0.084358595,0.07153667,0.06299818,0.053748872,0.041897103,0.030396258,0.022629553,0.019259125,0.018042002,0.016480517,0.01369781,0.010806392,0.009750967,0.012137693,0.018256562,0.02730723,0.03748199,0.047039967,0.054240603,0.05828024,0.05891225,0.056570098,0.051452223,0.043495443,0.03315342,0.021999188,0.012457156,0.006129109,0.0030612908,0.002069944,0.001956406,0.0021209756,0.0024613182,0.002986491,0.0038267008,0.0057313624,0.0104053235,0.01951727,0.032491114,0.045496747,0.053332627,0.053334612,0.047082353,0.039859604,0.03761366,0.045170132,0.06118984,0.07885667,0.08756126,0.084248595,0.073117755,0.06390929,0.06034867,0.06161204,0.06282231,0.061094996,0.054144684,0.04291731,0.030552594,0.022692507,0.022011278,0.027102252,0.032328974,0.03358708,0.029806321,0.023663083,0.017733162,0.013477307,0.0104995305,0.008147049,0.0059638526,0.004085945,0.0032004546,0.004579659,0.009736576,0.019109325,0.031243438,0.043464597,0.053860813,0.062375266,0.069026165,0.072841235,0.071446955,0.06424829,0.052622158,0.040810697,0.03333144,0.03440952,0.044284154,0.05923714,0.07235282,0.079592645,0.08139404,0.08256362,0.086699545,0.09464548,0.1036439,0.110094585,0.11015019,0.10199028,0.08678761,0.07020571,0.05851834,0.055093993,0.057263505,0.060540933,0.061667833,0.060736466,0.058232635,0.054165315,0.048099417,0.040741965,0.03347395,0.027432939,0.022673538,0.018893935,0.01601749,0.014231671,0.01325691,0.012300801,0.010823253,0.009058926,0.008201241,0.00954591,0.014458943,0.022658339,0.032332618,0.039302707,0.040596973,0.035275735,0.02650549,0.01840277,0.015073158,0.0178936,0.025964951,0.03621379,0.04540971,0.051189136,0.052831355,0.051168993,0.049501836,0.05220963,0.061712217,0.073983006,0.08064223,0.07513096,0.059582666,0.04275735,0.033158418,0.032267652,0.03621683,0.04136892,0.049062088,0.061959386,0.07963929,0.09595742,0.105891444,0.10747963,0.103331454,0.0941963,0.081542835,0.06631575,0.0524367,0.042265724,0.038844604,0.042856038,0.054913968,0.07090149,0.08567373,0.09276399,0.09033791,0.0795862,0.06489953,0.050094575,0.03734336,0.027418131,0.020764308,0.018593447,0.021753237,0.028743193,0.03569609,0.037704196,0.03353827,0.02545173,0.018277809,0.014823808,0.016320365,0.023072554,0.035750855,0.053577203,0.07295043,0.08846152,0.095605634,0.09415651,0.088049464,0.083894856,0.08493041,0.09019754,0.09533989,0.10023012,0.10818195,0.12236855,0.13845117,0.14693636,0.13984369,0.11807109,0.09018337,0.066900454,0.052919414,0.046428006,0.041352805,0.035063725,0.028406687,0.024346575,0.022643657,0.021094954,0.017651707,0.01280852,0.008382504,0.005568271,0.0044164583,0.0042507495,0.0045944746,0.005297452,0.00648243,0.008410581,0.011091965,0.014199254,0.017358115,0.021290312,0.02843076,0.040980935,0.05785529,0.07354353,0.08145145,0.078965396,0.0682763,0.054774765,0.04240891,0.03496169,0.03479485,0.045466047,0.06594638,0.09168098,0.112285234,0.12085102,0.115374275,0.10237855,0.08979165,0.083281934,0.08168429,0.07911089,0.07001362,0.054388065,0.03827002,0.029259497,0.03063772,0.03930022,0.047899287,0.050618842,0.0470292,0.04086009,0.036304776,0.034588296,0.03617625,0.04064569,0.047954146,0.056042995,0.06313744,0.0675459,0.0692006,0.06882071,0.068232626,0.07107964,0.0820699,0.106512755,0.14131238,0.17567438,0.19188134,0.18543911,0.16272475,0.13921209,0.11934093,0.10201929,0.084153265,0.068893306,0.05982944,0.056605175,0.056191493,0.05636989,0.05801579,0.062003415,0.067251764,0.071745075,0.074121505,0.075029135,0.074839234,0.07329262,0.06893086,0.06111935,0.051153433,0.041894887,0.03563187,0.031673644,0.027842611,0.022847814,0.018193178,0.015711596,0.015560615,0.015733408,0.015091412,0.015069533,0.019404925,0.029984668,0.044357505,0.056386333,0.062071364,0.06281399,0.06397036,0.06807237,0.072700255,0.0723602,0.06529083,0.05361368,0.042738724,0.03519037,0.031385664,0.028534772,0.025438806,0.021469655,0.017830968,0.0147260865,0.012690318,0.012006863,0.0137998415,0.018294683,0.0252703,0.03332819,0.04155631,0.048407406,0.05279517,0.053440914,0.05056739,0.045305505,0.03940274,0.03403535,0.029535128,0.025723955,0.02217163,0.018728182,0.015485627,0.012903333,0.011357911,0.010980231,0.011513616,0.0125643015,0.013753232,0.014736501,0.015191668,0.015250784,0.015792752,0.018255727,0.023098424,0.02963706,0.037043333,0.046908084,0.061919454,0.08285436,0.10514962,0.12165513,0.12713952,0.12214056,0.110736966,0.09692416,0.082082964,0.066917285,0.054328486,0.04998538,0.058782052,0.07992927,0.10530696,0.12300726,0.124616355,0.11088527,0.091497384,0.07759273,0.0736554,0.07526227,0.0756231,0.07256108,0.06988373,0.07210023,0.079756685,0.0889191,0.09442093,0.09328532,0.08701304,0.08022926,0.07674697,0.07530445,0.070924364,0.061007515,0.04948953,0.043862905,0.047011673,0.054454625,0.058594536,0.057327285,0.055885926,0.06198573,0.077410094,0.09495771,0.10409483,0.09932274,0.08607411,0.075005025,0.07484287,0.0850177,0.09930789,0.110077836,0.11452339,0.114262305,0.11389926,0.11638587,0.12086735,0.12304642,0.1186282,0.106729746,0.09001655,0.07422598,0.06570319,0.06934386,0.08465687,0.10500666,0.12190191,0.13026369,0.13056935,0.12438432,0.111783236,0.09231099,0.0683526,0.045803174,0.029952869,0.022913113,0.022782952,0.02735109,0.035417948,0.04583924,0.055354238,0.059598118,0.057726566,0.053728744,0.052608356,0.054513812,0.055057768,0.0512359,0.045704942,0.043388445,0.045650613,0.047700386,0.044639263,0.03578956,0.026917346,0.025285365,0.03622261,0.059748143,0.08988738,0.11680732,0.13171703,0.13272618,0.12496263,0.11530072,0.10660676,0.09700111,0.0844501,0.06948516,0.05492747,0.043403793,0.036711976,0.03676943,0.044769272,0.060102403,0.07875516,0.09558087,0.10751582,0.11517089,0.12130108,0.12567873,0.124719195,0.11407948,0.094849765,0.07434101,0.06056367,0.057504345,0.062318955,0.0716815,0.08217106,0.092799425,0.10022664,0.10201889,0.096113205,0.08461374,0.07108882,0.061086584,0.058579985,0.06509989,0.077870004,0.091397546,0.100085795,0.10015122,0.09138004,0.07651171,0.06074466,0.048173886,0.04066512,0.036668885,0.034482855,0.032167908,0.029607048,0.026391618,0.023498813,0.021531263,0.021372594,0.02246773,0.02385821,0.024566965,0.024702048,0.024660604,0.024713641,0.024387136,0.023405837,0.021880066,0.020735003,0.020827161,0.022582358,0.025463944,0.02843489,0.03021282,0.030396024,0.029664787,0.030296398,0.03352246,0.038820807,0.0430779,0.04448322,0.0440374,0.046332356,0.057166617,0.079269685,0.11034385,0.14200903,0.16688071,0.18128516,0.18668397,0.18394317,0.17274635,0.15422301,0.13388036,0.12044724,0.12089022,0.13640618,0.1623978,0.18985407,0.21161781,0.22198914,0.21993826,0.204077,0.1775623,0.14550859,0.11776463,0.10054723,0.0963039,0.10211328,0.11673111,0.1391386,0.16583128,0.18708114,0.19218087,0.17944126,0.15759455,0.14055057,0.13407268,0.13644825,0.14102276,0.14690346,0.15489995,0.16417931,0.1661203,0.1525323,0.123688154,0.09113144,0.0671665,0.05568817,0.050993443,0.047419295,0.043284774,0.04092137,0.039932773,0.038685266,0.03523315,0.030764313,0.027281238,0.026905134,0.030472627,0.03714179,0.044332936,0.0485557,0.048414182,0.044888806,0.04099272,0.03895058,0.039544426,0.04172395,0.043383744,0.042626824,0.038573623,0.03207973,0.024915019,0.019352872,0.017244074,0.020222524,0.028394366,0.04091509,0.05535676,0.07108262,0.088451795,0.10798108,0.12642704,0.13929741,0.14662798,0.15733181,0.18282574,0.22606309,0.2729469,0.30163148,0.29566404,0.25815085,0.20555334,0.15857564,0.12954511,0.12181028,0.12908226,0.13982363,0.14211082,0.13152726,0.11244166,0.0929647,0.077686734,0.06610479,0.056187566,0.04841599,0.046664644,0.054123864,0.069911264,0.087366246,0.09988886,0.10450984,0.10404384,0.10220342,0.099795036,0.094703436,0.08479177,0.07390497,0.068763256,0.07681632,0.097860396,0.127614,0.15717654,0.17932285,0.18705694,0.17806374,0.15452597,0.12377041,0.093744576,0.07020586,0.055076987,0.048370425,0.048053104,0.051396523,0.05441661,0.055292238,0.054228183,0.053000033,0.05177417,0.049481943,0.045742348,0.042347323,0.04126933,0.042781472,0.04450354,0.045083907,0.044693217,0.046620328,0.052688245,0.06302615,0.073340975,0.07941108,0.07858693,0.07353556,0.06835554,0.0669504,0.07071523,0.0820914,0.102737635,0.13018638,0.15406205,0.16202007,0.14932351,0.12236539,0.093671314,0.071524434,0.0587693,0.053282976,0.05432259,0.059688717,0.06694609,0.07050533,0.0674425,0.057973895,0.04710446,0.039439708,0.038107403,0.044218674,0.058140036,0.07827859,0.099507056,0.115085006,0.119992234,0.11396616,0.10051882,0.084388115,0.069551714,0.057309102,0.047113523,0.03768974,0.030491536,0.029832572,0.03992785,0.06048737,0.0847569,0.10346521,0.110347785,0.106489845,0.0984528,0.092560746,0.08975473,0.08588261,0.077011265,0.06403666,0.052422885,0.046923667,0.047645982,0.04969357,0.048402254,0.042547528,0.035110213,0.029228294,0.02627228,0.026245886,0.029723695,0.03802121,0.05103326,0.06608007,0.07918704,0.08836039,0.09493912,0.100436985,0.103141494,0.09854228,0.0856941,0.07036006,0.061970424,0.06479285,0.07513317,0.08527827,0.09177223,0.096196644,0.100982696,0.10472986,0.105387546,0.10427827,0.10683933,0.11723872,0.13539231,0.15544681,0.16933888,0.16935074,0.15436143,0.12924267,0.10250173,0.07940068,0.061687496,0.048690554,0.039885025,0.034519445,0.0321134,0.032514248,0.036709268,0.04539756,0.058220718,0.07273,0.085169844,0.09330506,0.09784371,0.10283657,0.11067367,0.12061278,0.12889813,0.13313882,0.13207124,0.124883704,0.110549845,0.09140759,0.07243825,0.05966195,0.05539751,0.06184123,0.0800132,0.11189505,0.15094943,0.18635719,0.20306893,0.19877388,0.17990033,0.16204488,0.15187551,0.1504019,0.15143359,0.15223461,0.14951552,0.14266187,0.13220678,0.124145985,0.12295711,0.12789899,0.12977944,0.121372305,0.10157996,0.07798858,0.058353838,0.049043108,0.05101208,0.06121309,0.0720778,0.077457316,0.07708997,0.07617027,0.07967164,0.08682343,0.093397595,0.09499556,0.091178596,0.084250234,0.07871524,0.07858179,0.0845339,0.09345263,0.10082648,0.10714456,0.117158234,0.13451193,0.1550019,0.16778831,0.16561133,0.14889358,0.12687495,0.10661718,0.092386365,0.0823865,0.0752126,0.06850795,0.061854392,0.05521923,0.04997513,0.04712775,0.046509925,0.046671826,0.045739304,0.04329693,0.04070966,0.04137135,0.046920195,0.055533398,0.061407555,0.06135474,0.058150936,0.059250325,0.06795711,0.07931119,0.08410123,0.07874294,0.06875267,0.06323311,0.06569887,0.072320394,0.077854306,0.08135935,0.086023815,0.092740856,0.09947059,0.10282859,0.104210876,0.10654437,0.11187049,0.11803472,0.12315271,0.12734419,0.13085811,0.13080795,0.122055,0.10379863,0.08106915,0.062552534,0.053455353,0.053570095,0.057503078,0.058556724,0.05387175,0.047318246,0.048580542,0.064399295,0.09185473,0.11865597,0.13302656,0.13349439,0.12743908,0.12357835,0.1241382,0.12731852,0.13029261,0.13115059,0.12711981,0.11637998,0.100266695,0.083957106,0.07251894,0.06901478,0.07465268,0.08958409,0.11075743,0.12957686,0.13614812,0.12551282,0.10258254,0.07690219,0.0573495,0.04800524,0.05074264,0.06444835,0.08416756,0.099945,0.10313869,0.0926556,0.07682369,0.06646802,0.0661983,0.07271889,0.07815061,0.078074306,0.07147628,0.0617705,0.05140586,0.042872816,0.035911113,0.030170968,0.024973778,0.020905696,0.018914824,0.019557387,0.022912866,0.02795711,0.033330303,0.03712058,0.038630053,0.037943885,0.03640704,0.035124432,0.035570323,0.0379107,0.04128441,0.04296227,0.0410329,0.035099536,0.027012864,0.019530306,0.015690437,0.018130535,0.026436856,0.036615416,0.04176138,0.03831443,0.027788477,0.016434733,0.009351016,0.008601721,0.0132474275,0.02183404,0.033671133,0.048299316,0.06458515,0.0793189,0.08840176,0.08935677,0.083735324,0.076726116,0.07351408,0.07636136,0.08304039,0.08886755,0.08918349,0.08218295,0.0695112,0.05500154,0.042368844,0.03355986,0.028898383,0.028369637,0.032708723,0.04275568,0.057423502,0.072451904,0.08226181,0.083179,0.075851075,0.063580684,0.051041722,0.04213664,0.040548045,0.04672973,0.05802511,0.06876653,0.07568594,0.07871608,0.08023674,0.08050438,0.07805317,0.071675025,0.06286362,0.054301817,0.0473264,0.041380268,0.03551365,0.03001556,0.02607972,0.024573885,0.025684917,0.028468817,0.03169136,0.03337274,0.032609805,0.029831871,0.027880304,0.030143544,0.037870113,0.048189092,0.055140242,0.05513412,0.04982887,0.0446205,0.042812843,0.043107804,0.042835146,0.041700225,0.042178947,0.045467526,0.049209256,0.049284782,0.043365855,0.03340531,0.023549026,0.017465241,0.015696548,0.01655782,0.01816958,0.020580249,0.026292345,0.038150653,0.057262808,0.08017951,0.10043696,0.11065144,0.107929766,0.094958276,0.07895734,0.06649839,0.060108464,0.058118403,0.056832712,0.05355678,0.047349293,0.039268117,0.03105787,0.024331098,0.020306885,0.020311082,0.02582403,0.03657259,0.048941333,0.05674003,0.055562746,0.046047423,0.03329451,0.022482589,0.015771339,0.0122892335,0.010359317,0.008877994,0.007541631,0.0064478596,0.006121853,0.007548003,0.012114708,0.02097866,0.0340929,0.04951914,0.06361311,0.07311272,0.07657031,0.07503245,0.06967429,0.06135003,0.050759356,0.040594157,0.034689024,0.036428567,0.047263402,0.066456325,0.0910187,0.114937745,0.13123359,0.13542569,0.1293291,0.11926082,0.11244943,0.11159264,0.11565688,0.11962917,0.11925238,0.11069735,0.095402,0.07835855,0.06776937,0.06719577,0.07426637,0.0810089,0.0816173,0.074103616,0.06139268,0.04740852,0.03674271,0.03244208,0.034299653,0.03830051,0.038568113,0.03279031,0.02281115,0.013482157,0.0074929413,0.005072798,0.004605727,0.005263834,0.00709563,0.010328017,0.014243606,0.01717841,0.017754612,0.016086778,0.0137123475,0.012208089,0.011904683,0.012068339,0.011838767,0.011171248,0.010705483,0.011385084,0.013698414,0.017265784,0.020663006,0.022167293,0.020932036,0.017805079,0.014903133,0.014243196,0.016237503,0.019391686,0.021173576,0.020003198,0.016127924,0.011493814,0.008357908,0.008653384,0.0137229385,0.023538103,0.036418423,0.048398178,0.056207433,0.057974476,0.05540064,0.050282303,0.0444651,0.03776819,0.030658891,0.02364173,0.017907573,0.014085903,0.012901674,0.015142169,0.020573877,0.027010286,0.030834356,0.03034802,0.027344674,0.025715312,0.027873864,0.033162076,0.039322782,0.044222,0.046417046,0.045515444,0.042597473,0.04093872,0.043142986,0.049364064,0.05624332,0.060411576,0.060581684,0.057737023,0.053329825,0.04802936,0.042567655,0.037757855,0.034676034,0.03379059,0.03488722,0.037266184,0.03976802,0.042301074,0.045207027,0.04984197,0.05510315,0.058951434,0.0576871,0.05115113,0.04103272,0.03193009,0.026019782,0.023970552,0.02345127,0.022868818,0.021273402,0.019902477,0.020363411,0.023713298,0.028965017,0.033212136,0.033833597,0.029960455,0.023606127,0.01764726,0.015169509,0.018719884,0.029700674,0.047002714,0.06515244,0.07743312,0.07907214,0.071675524,0.06046319,0.051174592,0.045760695,0.043243527,0.04130434,0.038800042,0.035820603,0.03344758,0.03216687,0.031905573,0.0316571,0.030686269,0.028574461,0.026127666,0.025359092,0.028458918,0.03522499,0.041868027,0.043430988,0.03853512,0.030689329,0.025844157,0.027544403,0.035952404,0.048252676,0.060931724,0.07050951,0.07500335,0.074365884,0.07024061,0.06492,0.06025305,0.05717981,0.05548203,0.05393019,0.05133228,0.046886455,0.040769946,0.03324628,0.025067464,0.01719843,0.011164657,0.008501076,0.010534969,0.01747063,0.027645005,0.037141025,0.042189226,0.04202188,0.040608685,0.04384752,0.055051237,0.0726321,0.0909876,0.10467824,0.10957595,0.10460367,0.09048768,0.07107153,0.05157721,0.037315987,0.03048347,0.029617934,0.030590788,0.03005132,0.027287947,0.024186062,0.022543825,0.022445008,0.02302138,0.024328709,0.028235631,0.03566815,0.04491466,0.051837664,0.05407183,0.05282482,0.051226646,0.050841216,0.050986934,0.051725704,0.055459756,0.064930715,0.0791583,0.09254807,0.098283075,0.09308659,0.07898203,0.062418327,0.05022956,0.047381688,0.05419731,0.0683449,0.08463434,0.09771452,0.10152299,0.094210945,0.07904331,0.06426141,0.056899726,0.059403494,0.07073761,0.08669149,0.10210086,0.10941932,0.10633945,0.09575897,0.08563008,0.07936867,0.07568672,0.070935965,0.064169385,0.05664837,0.049098503,0.041713167,0.034408797,0.028245913,0.023694003,0.0208794,0.019498637,0.02009727,0.023558833,0.030196225,0.038590312,0.04608882,0.05011944,0.0496715,0.045391377,0.03920274,0.033243217,0.02939573,0.02842831,0.03027075,0.033666674,0.037608575,0.04154967,0.04751387,0.0576549,0.07334849,0.09053549,0.10302561,0.10448005,0.09552678,0.0814507,0.069414906,0.061545584,0.056332648,0.051845286,0.049649004,0.052319836,0.05969119,0.06774851,0.07227724,0.073414095,0.075361274,0.08216184,0.0919095,0.09723682,0.09065431,0.07146997,0.04643588,0.02445341,0.010752966,0.005880672,0.008887287,0.020246178,0.040497083,0.068566285,0.09901294,0.124956965,0.13911091,0.13938345,0.12751223,0.10922455,0.08854318,0.068772644,0.05243585,0.04278734,0.041525096,0.04685663,0.05606112,0.06657133,0.07896257,0.092938185,0.10731361,0.11704283,0.116828926,0.1039344,0.08237534,0.0611545,0.049737107,0.05256414,0.06728885,0.086013265,0.09931766,0.10116819,0.091787495,0.0769278,0.063074015,0.05354284,0.047390893,0.0426053,0.039197866,0.039979428,0.04658933,0.056815382,0.06414008,0.063779004,0.055279374,0.04328039,0.03264891,0.027224397,0.029630661,0.04124454,0.06060931,0.08193777,0.0983881,0.10531312,0.10221163,0.09130152,0.07586598,0.061463743,0.05521166,0.06493171,0.09124294,0.12530065,0.14952461,0.15139675,0.13028981,0.09937698,0.073465236,0.0629633,0.070243604,0.09269168,0.122429274,0.14719227,0.15531479,0.14197083,0.114206016,0.08477657,0.064334385,0.054253194,0.050142888,0.048073422,0.04776138,0.050042745,0.053221185,0.054326285,0.05281754,0.05075067,0.051064532,0.0540638,0.060405057,0.06917092,0.07865409,0.083013564,0.07907262,0.06794947,0.05658905,0.05014312,0.05162814,0.06274695,0.08711358,0.1249766,0.16779254,0.19892567,0.2043494,0.1841691,0.15330064,0.13053317,0.12563524,0.13305013,0.13949229,0.13246177,0.111519955,0.084364384,0.06287391,0.052058663,0.05075608,0.052872136,0.053562637,0.05055654,0.04592824,0.044814724,0.052280974,0.067159586,0.08194823,0.08798922,0.085042566,0.07803198,0.07235886,0.06557009,0.056295346,0.046163764,0.043382283,0.050695974,0.06593268,0.08215693,0.09846868,0.11646452,0.13837105,0.16070454,0.17940752,0.19125216,0.19345576,0.18304236,0.1589071,0.12847827,0.10173538,0.08678382,0.081805475,0.08271348,0.084655605,0.08632755,0.08513146,0.0810665,0.07689664,0.07855129,0.088654704,0.10399106,0.119590916,0.1319788,0.14170612,0.14752708,0.14999567,0.15026124,0.15288408,0.15874146,0.16415216,0.1623335,0.14823602,0.12257204,0.090367585,0.059973706,0.038792294,0.032415878,0.043167662,0.067649506,0.096724756,0.117004134,0.12117352,0.11050502,0.095549256,0.08464148,0.08106243,0.08094013,0.08082628,0.07979658,0.08150467,0.090735435,0.11067065,0.13810112,0.16294046,0.17256688,0.16186939,0.1372696,0.11353877,0.10270861,0.10974192,0.12901963,0.15171324,0.1663323,0.16944069,0.16098188,0.1481523,0.13490333,0.12626314,0.123156376,0.12649673,0.13343596,0.14068384,0.14554156,0.1466431,0.14263694,0.1305136,0.11002165,0.08526371,0.06446753,0.052607965,0.04871827,0.047683552,0.045803238,0.043161,0.041694473,0.04318444,0.04750088,0.053605948,0.059704274,0.065034755,0.06994518,0.07522621,0.08073372,0.085259795,0.088679396,0.092030995,0.096572496,0.10125785,0.10524847,0.10951223,0.118347205,0.131743,0.1450786,0.14865091,0.14060868,0.12504421,0.112556435,0.10756568,0.111113645,0.11933454,0.13001437,0.13970934,0.14525788,0.14356753,0.13529415,0.12450869,0.11578235,0.11016974,0.10504011,0.097745,0.08899236,0.08301126,0.084618844,0.09413647,0.10625428,0.11081835,0.102113366,0.0818295,0.060257282,0.046251904,0.04251638,0.04406653,0.044444826,0.041139234,0.03683072,0.036522154,0.04317015,0.055693816,0.07027032,0.0828137,0.09196821,0.098350346,0.102931984,0.1048981,0.103661485,0.10125252,0.10391021,0.11858052,0.14827241,0.1847633,0.21207432,0.2138774,0.19077085,0.15760256,0.13667066,0.13652825,0.15393655,0.17439218,0.18932076,0.19503559,0.19724481,0.19996278,0.20384115,0.20469986,0.19746931,0.18171887,0.15872507,0.13414681,0.11318969,0.102662474,0.107464574,0.12709524,0.15450065,0.17443351,0.17610015,0.15626709,0.12598465,0.09739893,0.07993906,0.07352546,0.074826024,0.078490645,0.080614716,0.07772541,0.06953085,0.05791014,0.04735818,0.041282043,0.04222152,0.051768254,0.06969839,0.09330752,0.11429012,0.12490938,0.120862655,0.1083264,0.097809434,0.098737895,0.11200901,0.13321799,0.15674755,0.17937155,0.1965028,0.20349328,0.19607173,0.17697178,0.15227158,0.13014764,0.11435986,0.10599542,0.10390564,0.10969058,0.12545675,0.15286,0.18538378,0.2119141,0.21836925,0.20055829,0.16477008,0.12746128,0.10267178,0.09504973,0.09867994,0.103006236,0.10192745,0.09431836,0.08530098,0.08004221,0.08464685,0.099649124,0.12029227,0.13551646,0.13757063,0.12732914,0.114690594,0.10980662,0.11521933,0.12570338,0.1338378,0.13822818,0.14235905,0.15018773,0.15915912,0.16484417,0.16539448,0.16494302,0.16522424,0.16333695,0.15259846,0.1328452,0.11002924,0.093301274,0.08595536,0.085801356,0.087679066,0.08986569,0.095846884,0.11276784,0.14312266,0.17964154,0.20731731,0.21829884,0.21893686,0.22389524,0.23698874,0.2461537,0.23466283,0.19880778,0.1509577,0.10837629,0.08188877,0.07142666,0.07109503,0.07275621,0.07199677,0.06803218,0.064044274,0.06223518,0.06296837,0.06474499,0.066484034,0.06807081,0.06923967,0.069577806,0.06819659,0.06573654,0.064673044,0.069286376,0.08193073,0.09918443,0.112050466,0.11225604,0.10031722,0.085671514,0.07916582,0.08295551,0.09077617,0.09440873,0.09354057,0.0925284,0.09617183,0.10317468,0.11361358,0.12909146,0.15074371,0.17008704,0.17387933,0.15567617,0.1223299,0.089487076,0.06857584,0.06545162,0.076482914,0.09478852,0.10820684,0.11095574,0.10324749,0.09313664,0.08594054,0.08447451,0.089415155,0.105030335,0.13575338,0.18039061,0.22698013,0.25721392,0.2596328,0.23774104,0.20980263,0.19294238,0.19269736,0.19989164,0.20467626,0.20535672,0.20766683,0.21258062,0.21287768,0.19983824,0.1730258,0.14076468,0.11279487,0.09426516,0.0845648,0.08253819,0.08985132,0.11030814,0.14297633,0.17820919,0.20122261,0.20281029,0.1845653,0.15728442,0.13149755,0.114237696,0.107102394,0.1087299,0.11507452,0.121229015,0.12453196,0.12525618,0.12695849,0.13287513,0.1443236,0.15914859,0.17311257,0.1826433,0.18418097,0.17601283,0.15577167,0.1263047,0.093278795,0.0675871,0.058104634,0.06739255,0.08865958,0.10761252,0.11467411,0.10732359,0.09321504,0.079770334,0.07391124,0.08032647,0.10158342,0.13604419,0.17358221,0.20294808,0.2143172,0.20846759,0.18986268,0.16811858,0.14941919,0.13946322,0.13684523,0.1381673,0.13897234,0.14120491,0.149287,0.16508235,0.18164043,0.18794195,0.17764603,0.15654796,0.13737164,0.12977141,0.13265334,0.138202,0.14019668,0.1366244,0.12819104,0.11359725,0.09314555,0.07007516,0.051289473,0.042168766,0.043122057,0.050892007,0.06188501,0.075394146,0.092417486,0.113127,0.13500354,0.15424292,0.16799265,0.17565435,0.17645349,0.17054777,0.16005982,0.15084809,0.1469295,0.14638758,0.14370008,0.1361902,0.1284142,0.12471825,0.12442159,0.12035939,0.109125465,0.096945666,0.097241946,0.11991956,0.16093482,0.20438093,0.22996897,0.22674483,0.19673716,0.1551645,0.11761936,0.093020886,0.079436295,0.073892176,0.0766094,0.08936093,0.110298745,0.13396749,0.15965907,0.18745923,0.21612768,0.23535492,0.23993693,0.2298156,0.21494739,0.19793189,0.17898695,0.1531602,0.124100864,0.098763555,0.08515873,0.08342577,0.08679078,0.09003786,0.09391665,0.104377806,0.1211347,0.13689761,0.14271984,0.14001015,0.13912843,0.14939976,0.16651428,0.17636655,0.168122,0.14755645,0.13014695,0.12908874,0.14237033,0.16017693,0.17121653,0.17204326,0.16317295,0.14745246,0.12725708,0.104898095,0.08370345,0.06728203,0.061158728,0.07143089,0.101653196,0.14557026,0.18664013,0.2068202,0.2014467,0.18075459,0.16086723,0.14797868,0.13943094,0.12910827,0.11878105,0.113907464,0.12097809,0.13700444,0.15402842,0.16010748,0.15216324,0.132763,0.11098363,0.09179807,0.07796361,0.0684916,0.06335936,0.063518226,0.0706428,0.08502397,0.10235977,0.115844786,0.119175725,0.112760514,0.10212082,0.093793005,0.08972353,0.08758377,0.08537217,0.083343506,0.08413157,0.088706195,0.09574041,0.10122957,0.10160962,0.096960366,0.09214524,0.09384913,0.10527293,0.12309193,0.1404274,0.15231796,0.16203803,0.17623563,0.19826293,0.21845655,0.2234158,0.20526338,0.17255627,0.14020953,0.12080461,0.11711831,0.12788929,0.14955525,0.17694461,0.1994366,0.20654069,0.19303572,0.16528915,0.1374837,0.12346839,0.12879711,0.14584021,0.16243847,0.1687296,0.16718723,0.16430837,0.1646725,0.16248094,0.1499253,0.12468538,0.09473646,0.07173603,0.06144382,0.06050372,0.059227552,0.05315703,0.048527014,0.062253665,0.10490254,0.16696353,0.21690615,0.22444211,0.18471237,0.12402513,0.07946869,0.07278869,0.09878361,0.13638969,0.16783202,0.19380747,0.22332184,0.26107344,0.29616025,0.31830534,0.3242071,0.3177764,0.29630637,0.25336453,0.19070692,0.12236878,0.06711438,0.03281589,0.017621253,0.018047275,0.03911511,0.09174651,0.17214036,0.2538887,0.29263583,0.26679185,0.18964307,0.10616627,0.052835915,0.045270715,0.07224367,0.11190703,0.13875389,0.14110091,0.1257156,0.11259509,0.11253404,0.11811876,0.11446329,0.10063795,0.094881915,0.11516738,0.15758628,0.19402409,0.19816409,0.1686411,0.13007897,0.1073583,0.10570217,0.110960566,0.10896218,0.09687346,0.0824169,0.071939446,0.06758053,0.068133764,0.073845,0.08328124,0.09145432,0.09176802,0.08236798,0.06834367,0.056601707,0.05020823,0.048002582,0.048505623,0.05158494,0.05630499,0.05964345,0.059132054,0.056709856,0.057396963,0.06370133,0.071387954,0.07316993,0.066065066,0.05517186,0.049116056,0.052170996,0.061007634,0.06925424,0.07484878,0.08121473,0.09116339,0.10041478,0.10095114,0.08979728,0.074668474,0.06708603,0.07281827,0.08696515,0.10045891,0.1071892,0.10735068,0.103444286,0.09664621,0.08627635,0.072388366,0.057652574,0.046097845,0.04011619,0.038708393,0.038497835,0.03758465,0.03763829,0.042613994,0.054253235,0.0680838,0.07605534,0.07134983,0.05526139,0.03530608,0.022153728,0.023516526,0.042768728,0.077113934,0.117996514,0.15338908,0.17366652,0.17510037,0.16038674,0.1342157,0.10276043,0.07284819,0.052928757,0.049357247,0.063148074,0.08912308,0.11925745,0.14744866,0.1703131,0.18414216,0.18341284,0.16362561,0.12786612,0.086326726,0.051208768,0.028632084,0.017862968,0.0141765615,0.013444009,0.013535325,0.01401494,0.015194792,0.017456189,0.022543637,0.034755886,0.06148393,0.10648996,0.16368817,0.21430112,0.23816359,0.22565311,0.1846397,0.13297436,0.087407194,0.05585001,0.037452605,0.028114803,0.02447865,0.025688514,0.03066768,0.037018113,0.04089574,0.039895188,0.034111712,0.026336728,0.019697512,0.016435182,0.016516978,0.018374162,0.019493384,0.01838051,0.015093013,0.01115243,0.008009906,0.0064627132,0.0066663916,0.008434405,0.011036503,0.013125211,0.013577219,0.012313899,0.010426977,0.009082645,0.008719296,0.0089273155,0.009151351,0.009184919,0.0092680305,0.009810402,0.010988314,0.012509516,0.013634062,0.013735714,0.01275839,0.011281679,0.009963668,0.009173445,0.009038,0.009553869,0.010520384,0.011328732,0.011407816,0.010598932,0.009385838,0.00839209,0.008124457,0.008794736,0.010242389,0.011845041,0.01269976,0.012366399,0.011142481,0.00992874,0.0093796365,0.009730052,0.010686307,0.011758796,0.012262701,0.011749924,0.010289079,0.008510766,0.0070959055,0.0063276473,0.006298704,0.0073799863,0.010596029,0.01680883,0.0257907,0.03533071,0.042205498,0.04384337,0.04011593,0.03349724,0.027554924,0.02554108,0.028752295,0.036849167,0.0468964,0.055069473,0.057233214,0.0523729,0.042232115,0.030954579,0.021495005,0.0151523575,0.011518102,0.010453978,0.012189186,0.016795175,0.022930682,0.027901677,0.029138656,0.026158018,0.021404931,0.01910763,0.022855556,0.032838996,0.044911716,0.05239752,0.050771296,0.040731665,0.0275492,0.01673905,0.011379052,0.012070733,0.018725172,0.029949332,0.042451736,0.05081929,0.05128177,0.043679684,0.03224207,0.021765105,0.015283272,0.012638788,0.012180309,0.012136375,0.011688914,0.010845945,0.009989175,0.009360162,0.008886573,0.008392734,0.007835568,0.007432483,0.0074948594,0.00836045,0.009980789,0.01184753,0.0129955495,0.012862816,0.011823925,0.011494233,0.014234905,0.021998435,0.03467435,0.048727747,0.058571413,0.05991813,0.05304751,0.042428818,0.03334886,0.02888793,0.028435016,0.029406855,0.02863053,0.025231197,0.020469785,0.01717112,0.016739992,0.018557103,0.02049605,0.020916387,0.019424332,0.01667812,0.013605329,0.010925912,0.008955934,0.007829444,0.007985696,0.010496169,0.016465472,0.025239348,0.033876877,0.038286354,0.036738027,0.0306746,0.023734616,0.018290544,0.014757953,0.012120376,0.009825035,0.007982695,0.0069424394,0.0065431837,0.0062798597,0.005762197,0.0050570886,0.004462317,0.0041869055,0.004225461,0.004576282,0.0058227233,0.0093429675,0.01694108,0.028577795,0.041403797,0.050177578,0.05170906,0.046743732,0.039645493,0.033938896,0.03058389,0.028584898,0.027179057,0.026315564,0.025641957,0.02464465,0.0232691,0.022736924,0.024030095,0.027020408,0.030014953,0.03159457,0.030913858,0.028205857,0.023784904,0.018676339,0.014020215,0.010888084,0.009252194,0.008415555,0.0077834018,0.0077705383,0.009675178,0.014705171,0.022427218,0.030290121,0.034502614,0.03289259,0.02614447,0.017655866,0.010640611,0.0068107713,0.0057860725,0.006610246,0.008334596,0.010585953,0.013086221,0.015636032,0.01787093,0.019542692,0.020852327,0.022725446,0.026312495,0.031488165,0.03608281,0.036831435,0.03213231,0.023420433,0.014194839,0.0072793574,0.0034661237,0.0019180168,0.0015731858,0.0019173321,0.0035104833,0.008332585,0.019433428,0.03819716,0.06108141,0.07909885,0.08325242,0.0711683,0.049350504,0.027868288,0.013610915,0.0072812806,0.0058123767,0.005836943,0.0055959453,0.0047375713,0.003580108,0.0025096498,0.0017820789,0.001653255,0.0027574806,0.0062070936,0.012978499,0.022519903,0.032223526,0.03847088,0.039330628,0.035812344,0.03112971,0.0279994,0.027089937,0.026998771,0.025744021,0.02230268,0.017217338,0.01213259,0.008396936,0.0062974063,0.0051653534,0.0043411073,0.0040562744,0.005729062,0.0116230445,0.022896921,0.03791778,0.05158627,0.0588512,0.057958156,0.051948022,0.044896547,0.038855225,0.033004094,0.026310513,0.019093392,0.0127087375,0.008100355,0.005262257,0.0036513677,0.0027417785,0.0022029744,0.0018513002,0.0015891496,0.0013774583,0.0012247884,0.0011388677,0.0011201916,0.0011400926,0.001180741,0.0012403446,0.0015362957,0.0024797975,0.004666477,0.007919247,0.011306007,0.013141868,0.012868781,0.010908154,0.008667171,0.0071614557,0.0077073164,0.011973649,0.020689769,0.031756174,0.039941426,0.0408466,0.033951882,0.02324856,0.013398851,0.007223364,0.0054653506,0.009154726,0.020082256,0.03947291,0.06439415,0.08768263,0.09999613,0.09634447,0.078337714,0.05404171,0.031744424,0.0165957,0.008892552,0.007008277,0.009229012,0.014393765,0.021046838,0.027079314,0.031122409,0.032729317,0.032628316,0.03115017,0.029244177,0.027822742,0.028152542,0.02984188,0.031654123,0.031770725,0.029635392,0.025708528,0.021575416,0.018775307,0.018114505,0.018995583,0.019963162,0.01976533,0.018237777,0.016209034,0.014706927,0.014167338,0.014347645,0.014947954,0.016019288,0.018165851,0.02146131,0.025311952,0.027945729,0.028087826,0.025347313,0.021029217,0.01672587,0.01385164,0.012992059,0.014360043,0.017569056,0.021710983,0.02550453,0.028274184,0.030043507,0.031249305,0.03170009,0.031109503,0.029468557,0.027573086,0.02607769,0.025340723,0.02549488,0.026706086,0.028591314,0.029848682,0.029050888,0.025950134,0.021863965,0.018588511,0.017186465,0.017870417,0.020684889,0.025500527,0.03126578,0.035668433,0.03663428,0.034045596,0.029882701,0.026264234,0.023830501,0.021978999,0.020230483,0.018804727,0.018129699,0.01809235,0.018193753,0.017810391,0.016666897,0.014687721,0.012093839,0.009231005,0.0065277293,0.0043528513,0.0028649615,0.002024667,0.0015864986,0.001310247,0.0010464228,0.0007952566,0.0006060938,0.00050051993,0.00045829942,0.00044701598]