[8.9448484E-05,0.00024515332,0.0019493519,0.008769319,0.025916317,0.054594457,0.08816987,0.11398753,0.12531482,0.12732863,0.13236798,0.14603396,0.16211535,0.16967796,0.16202705,0.14072071,0.11141165,0.083078794,0.06502866,0.0645104,0.08181504,0.109387495,0.13564654,0.14903349,0.14509742,0.128911,0.116919465,0.1212764,0.14195244,0.15917353,0.15665111,0.12850472,0.088925056,0.051821526,0.027476,0.01481571,0.0104734935,0.009993116,0.011622823,0.014532766,0.017976932,0.020266006,0.019778654,0.016369013,0.011590861,0.007470429,0.0049889567,0.0039985157,0.0039722305,0.004820855,0.007443834,0.014023292,0.027733475,0.050222527,0.07904477,0.1089878,0.1367598,0.16282617,0.18743843,0.20521784,0.21043174,0.19982904,0.17844296,0.14932245,0.1183227,0.088160984,0.06545841,0.051999003,0.04923177,0.05533422,0.06767743,0.08115425,0.09155908,0.101035155,0.11491791,0.13533796,0.15280436,0.15644552,0.14433394,0.13284351,0.14054008,0.17367184,0.21432948,0.23643482,0.22183906,0.17649911,0.12253971,0.086927034,0.08147743,0.10029554,0.123161994,0.13619776,0.13814779,0.13960361,0.14524339,0.14995676,0.14251553,0.119782895,0.09047089,0.07049961,0.06865988,0.08018551,0.08879445,0.08377785,0.06827051,0.061047733,0.08104371,0.13570659,0.21203046,0.281881,0.3162682,0.3023771,0.2516382,0.19123136,0.14693688,0.12852843,0.12778638,0.12948172,0.12458974,0.118528835,0.12350601,0.14622761,0.17720963,0.19701,0.18975346,0.15494095,0.10656745,0.062494937,0.034651894,0.023703419,0.023024283,0.025517106,0.03161359,0.049764324,0.08823222,0.14399211,0.20106907,0.2404841,0.25490615,0.24904983,0.23388743,0.214547,0.19202451,0.16480248,0.13543205,0.110613555,0.09884628,0.104251616,0.12077963,0.13473229,0.13297178,0.11300591,0.08467388,0.0647667,0.06613354,0.08980843,0.12323675,0.14953023,0.15800689,0.15027373,0.13359976,0.11514392,0.098883115,0.09078259,0.095903836,0.11485217,0.1383884,0.15496592,0.15694186,0.14527859,0.12410455,0.09790691,0.069988035,0.044209007,0.024001071,0.011041327,0.0045079836,0.0021993816,0.0019137437,0.0022856127,0.0027869446,0.0034161003,0.0042006318,0.0049760933,0.0061149583,0.008872568,0.015609749,0.027141446,0.043361556,0.06361169,0.08876059,0.11671841,0.1398455,0.14940879,0.14486438,0.13728409,0.13594009,0.13834564,0.13138437,0.11142623,0.09095323,0.09069096,0.11407906,0.14357947,0.15222901,0.13367604,0.10477998,0.0925279,0.10389801,0.1233413,0.1277397,0.11263304,0.096974105,0.106378,0.14983995,0.20728314,0.24618451,0.24483013,0.21515262,0.1897719,0.19763704,0.23711939,0.28147337,0.30164245,0.2879312,0.2519683,0.21094853,0.17551307,0.14660616,0.122405924,0.1018923,0.084597774,0.06872527,0.053374723,0.041012008,0.038337294,0.049614776,0.07197992,0.09462454,0.10912952,0.11655078,0.12624766,0.14327015,0.16155268,0.16712403,0.15108275,0.115961045,0.07539991,0.044684257,0.03398454,0.042190846,0.061309416,0.083422154,0.11319094,0.16135466,0.2336076,0.3103355,0.3611733,0.36258122,0.32409084,0.27215466,0.23224266,0.20782858,0.19278742,0.18659478,0.20055038,0.24242707,0.29743752,0.33436608,0.3273077,0.28217798,0.22620982,0.1885131,0.17200015,0.16384055,0.1455443,0.11517308,0.078748174,0.0475771,0.027361212,0.024202427,0.04542151,0.09427524,0.16288914,0.22665171,0.26233432,0.2581909,0.22784953,0.19263078,0.17412513,0.17615817,0.19272816,0.20743841,0.20793205,0.18663347,0.14934142,0.10963404,0.08412554,0.078010686,0.0833588,0.08597156,0.082986355,0.08638978,0.11258002,0.1654126,0.2310133,0.28840697,0.31770197,0.30952194,0.26564386,0.20826977,0.16987288,0.17427963,0.21269287,0.25085983,0.25931928,0.23785968,0.20834523,0.18778042,0.17493725,0.15949857,0.13759522,0.11639682,0.10727929,0.11711959,0.14081496,0.162189,0.16358913,0.14161901,0.11087602,0.09169191,0.0914431,0.099082075,0.09794355,0.082898535,0.06617499,0.067425966,0.09526507,0.14049272,0.17933269,0.19544409,0.18688719,0.16732424,0.14583598,0.123991825,0.099232785,0.07744921,0.06903254,0.07670651,0.08971643,0.09261325,0.08122305,0.06456951,0.05532032,0.05751298,0.06771173,0.08201534,0.09915682,0.116176076,0.12480188,0.1187276,0.101481766,0.08940526,0.09710557,0.12503214,0.15375738,0.16089268,0.1375605,0.0975141,0.06359068,0.051545467,0.058672477,0.07044696,0.072381556,0.061748236,0.04593895,0.034270663,0.029552298,0.028856875,0.029978832,0.033224676,0.039026096,0.04433529,0.04651466,0.04748479,0.051261555,0.059484165,0.06804884,0.0757161,0.08420923,0.09713528,0.10995292,0.114620574,0.105809785,0.08854776,0.072278194,0.062970646,0.05891918,0.056309853,0.055331353,0.059712697,0.0712369,0.08583019,0.09786197,0.10420027,0.106692225,0.10700879,0.104765296,0.09615058,0.07940785,0.056402314,0.033732716,0.017282553,0.010107491,0.010543666,0.015879143,0.02536673,0.043228164,0.07465484,0.117338724,0.15682171,0.17589068,0.17300798,0.1680271,0.18498008,0.22638766,0.26842928,0.28160584,0.2551258,0.20151345,0.14402944,0.104170345,0.096386194,0.12539738,0.18089862,0.23889975,0.2717742,0.26427865,0.22022034,0.15880899,0.103341706,0.07193031,0.07100266,0.09346169,0.12166345,0.13784078,0.1354238,0.12369273,0.117682956,0.12344936,0.13099952,0.12472856,0.0991278,0.06439677,0.03715257,0.02718624,0.03306375,0.048749477,0.06940122,0.09626726,0.12712868,0.1574395,0.17345022,0.1686542,0.14244244,0.10935692,0.08278059,0.07279223,0.077661745,0.09279523,0.1117026,0.12826039,0.13383889,0.12271158,0.09740356,0.068953,0.048889965,0.043674916,0.055943895,0.086499535,0.12912564,0.16779383,0.18258077,0.16601653,0.12703708,0.08391253,0.049747396,0.02996817,0.024792938,0.03285088,0.04844253,0.062445957,0.06694401,0.06450816,0.06883201,0.093804635,0.13918282,0.18420433,0.20557678,0.19440973,0.16703765,0.14437266,0.13583659,0.13093299,0.11633157,0.088017754,0.055042412,0.030294254,0.024442056,0.04340635,0.08561509,0.14004402,0.18683596,0.21025322,0.20626323,0.18689023,0.16690457,0.15549052,0.1506267,0.14715421,0.14458607,0.14674422,0.15542032,0.16454063,0.16590102,0.15533422,0.13436459,0.107262224,0.079022475,0.056277726,0.044440072,0.045646716,0.05764227,0.07746765,0.1007598,0.12203121,0.13453393,0.13825794,0.14031506,0.14967136,0.16451643,0.1736622,0.16877055,0.1565383,0.15433681,0.17188442,0.20258044,0.22813702,0.23654394,0.2249117,0.19763757,0.15779597,0.11305156,0.07629481,0.06457301,0.08421389,0.1261884,0.16752881,0.18952702,0.18715502,0.17158407,0.1558389,0.1451741,0.134405,0.11652484,0.09075066,0.064820945,0.050313096,0.05443116,0.07450201,0.09878024,0.11336661,0.11040011,0.090999655,0.06362993,0.03817941,0.02223529,0.017653821,0.0210683,0.025819218,0.02627345,0.021429652,0.014912791,0.012744843,0.018771539,0.033019423,0.050954055,0.06629362,0.07371044,0.07241225,0.06643087,0.06257316,0.0639767,0.069486976,0.075882904,0.089461416,0.121353336,0.17981577,0.25046423,0.30473253,0.31469992,0.27764246,0.21422231,0.15464449,0.11924096,0.10872814,0.10931372,0.10307073,0.08273478,0.053308,0.026583381,0.009679011,0.0033231657,0.0049355836,0.013793998,0.027953088,0.04294749,0.05132081,0.052161183,0.052276697,0.063274935,0.08699769,0.11269557,0.12270042,0.10868319,0.076856256,0.043782886,0.023753265,0.023328254,0.038466267,0.06073611,0.08191311,0.104075156,0.13557035,0.18258017,0.23565249,0.27341852,0.27630374,0.24038436,0.180377,0.120429106,0.08401504,0.082065426,0.10978028,0.14941345,0.1831247,0.20190169,0.20698197,0.2019046,0.18824975,0.1648897,0.13443172,0.103769995,0.08484133,0.08492887,0.1035494,0.12967764,0.15271914,0.16718496,0.17455746,0.17548724,0.16832595,0.15260951,0.13407756,0.12108323,0.116285436,0.11204799,0.09951386,0.077889435,0.05827182,0.05037671,0.05449165,0.05928309,0.055151988,0.040568817,0.024741774,0.01924713,0.035540383,0.07656313,0.13636161,0.19362135,0.22613227,0.2179737,0.17596848,0.11950179,0.07526299,0.060486615,0.080656506,0.1254385,0.17379247,0.20258085,0.1978911,0.16285875,0.11419487,0.072866954,0.051962912,0.052189898,0.063662834,0.07484871,0.079628855,0.07858906,0.074036926,0.0653554,0.051444083,0.033968378,0.019048374,0.011805731,0.013138063,0.018827414,0.023487804,0.02444685,0.023538789,0.024481148,0.028910125,0.03367869,0.034484692,0.030041864,0.026278576,0.032859903,0.05604388,0.08995726,0.117503144,0.12161613,0.099277906,0.06301603,0.03029678,0.010335978,0.0022316605,0.00018668629,2.4464188E-09,0,0,0,2.5876604E-08,0.00012351589,0.0006173388,0.0018516645,0.0037030317,0.0055542565,0.0064398744,0.007022707,0.0103414515,0.021096399,0.04070205,0.063549906,0.07840096,0.076429956,0.0590159,0.036666606,0.021479217,0.018083876,0.022963502,0.028109109,0.027921287,0.021699026,0.0130156735,0.0059042196,0.00294437,0.005224927,0.013982143,0.028621474,0.046898674,0.062988155,0.074305266,0.08023355,0.08617089,0.09354166,0.101411134,0.10171781,0.09024847,0.0677527,0.044179674,0.02968934,0.03017261,0.04155853,0.054141182,0.05751742,0.04880808,0.03232802,0.016824936,0.008759614,0.012447275,0.029830694,0.06064406,0.09779451,0.12865995,0.14012393,0.12820774,0.10057324,0.07338852,0.06331785,0.07683616,0.1069176,0.133045,0.13844651,0.11893336,0.09047734,0.074263275,0.084589966,0.11750368,0.15614256,0.18285823,0.18923658,0.17917012,0.16098301,0.14343196,0.12905687,0.1192958,0.11533793,0.1243246,0.1486076,0.17980273,0.19586174,0.18040346,0.13520792,0.08182827,0.044178087,0.03740434,0.06223334,0.107880734,0.15483604,0.18526351,0.1937929,0.19115852,0.19217373,0.20216905,0.21173711,0.20805025,0.18367833,0.14323705,0.0973069,0.05938618,0.03855029,0.036078475,0.044169188,0.051249947,0.05183959,0.04988232,0.053374182,0.06427825,0.074760176,0.075510025,0.0634906,0.046359252,0.034714602,0.035454925,0.04597641,0.05780344,0.0636008,0.06308805,0.06115858,0.060701404,0.059368324,0.052533027,0.039578404,0.024589328,0.014657556,0.015706262,0.031079894,0.056312606,0.08033116,0.08873134,0.076961026,0.05135687,0.025989437,0.009770011,0.0050459146,0.009099928,0.017951809,0.026995862,0.030722784,0.027247516,0.018311314,0.009285061,0.0033477212,0.0013630651,0.0017642028,0.003222537,0.0046162778,0.0052583423,0.00520213,0.005559912,0.008303277,0.01393338,0.020644946,0.024690755,0.024484603,0.02197641,0.021229908,0.023582717,0.026298782,0.02537837,0.01972305,0.011937267,0.0059528835,0.004455858,0.008451737,0.016532734,0.025321955,0.029881971,0.02770014,0.020141581,0.012798514,0.012021832,0.022844478,0.045873713,0.07591143,0.10270142,0.11705625,0.11684548,0.10862989,0.10153373,0.0998924,0.10008377,0.09431208,0.07836502,0.056352165,0.03956311,0.039080977,0.05697089,0.08444953,0.105875604,0.11161032,0.10106697,0.08280911,0.063972265,0.050043285,0.043363195,0.04484622,0.050776765,0.054314166,0.05153056,0.044352677,0.038166247,0.035597105,0.03666179,0.042388324,0.05508825,0.07494042,0.09583258,0.10973591,0.11190627,0.10419943,0.091241516,0.0758756,0.059357252,0.043469217,0.032972563,0.03090284,0.03738196,0.048727807,0.06257247,0.076542385,0.09028996,0.10610807,0.13076098,0.16842075,0.21292843,0.25064492,0.27017644,0.2703395,0.254014,0.22347164,0.1812625,0.13500442,0.09810414,0.080944456,0.087430775,0.11109687,0.14011844,0.16008656,0.16037644,0.14040008,0.10820093,0.07646874,0.051316302,0.033625543,0.02016894,0.010341636,0.004351349,0.0029575962,0.005976695,0.012042577,0.01858568,0.02183061,0.020052494,0.014449538,0.0104569895,0.0143970875,0.03141265,0.05916232,0.08811804,0.10414407,0.100354075,0.0796681,0.053370748,0.03049952,0.0151686305,0.006394718,0.002403891,0.0020464484,0.006053774,0.016363442,0.034439266,0.05775399,0.07950597,0.09245496,0.09587354,0.09640754,0.10146024,0.11004985,0.113921605,0.106698684,0.09345508,0.08537982,0.08917018,0.09825995,0.10034343,0.087549336,0.0634073,0.03740782,0.017696943,0.006499644,0.0017566181,0.000325878,6.299815E-05,5.87526E-05,8.913586E-05,0.0006628064,0.0028990852,0.008387455,0.016762923,0.025336837,0.029308999,0.02660278,0.018599425,0.009963003,0.003813958,0.0009962537,0.00012916965,1.4352474E-05,1.6566424E-06,1.1506873E-07,1.3808311E-08,7.1228094E-08,0.00023641247,0.0012009445,0.0036409402,0.0073785973,0.0112133585,0.012924935,0.011634191,0.007998512,0.004199242,0.0015808007,0.00045531624,0.00012678192,7.149681E-05,3.5748355E-05,1.1918182E-05,0.0006089447,0.0034908748,0.011392201,0.0250851,0.041089,0.051651064,0.050811704,0.03898572,0.023827204,0.014550999,0.017350495,0.031210372,0.049004417,0.05978862,0.057124306,0.042341094,0.02407611,0.010232177,0.0041534654,0.0046268734,0.00869727,0.013378327,0.015847988,0.01565696,0.015237811,0.01913234,0.029497787,0.04341359,0.053810894,0.0545225,0.04617239,0.036666438,0.03691064,0.050700504,0.07341909,0.096291214,0.120016,0.15221606,0.19858377,0.2484362,0.28100157,0.2792584,0.24208148,0.1832627,0.12221413,0.07807107,0.06221677,0.07552973,0.10454155,0.12902963,0.13263558,0.11376446,0.083218254,0.054459006,0.035253495,0.028182298,0.035394687,0.055488344,0.080504775,0.094930805,0.090163775,0.070071615,0.050188016,0.040420488,0.04068586,0.043339714,0.046793938,0.05458502,0.07071114,0.0885841,0.09743163,0.08900116,0.069187135,0.051148314,0.04866846,0.06358784,0.08698418,0.103022814,0.1016139,0.08521062,0.0687377,0.06724503,0.08468306,0.11182779,0.13716274,0.15438901,0.1627426,0.15954112,0.14183436,0.111160524,0.078784816,0.059811864,0.063810825,0.08612204,0.11003941,0.11762791,0.10410696,0.08004744,0.062276367,0.060108572,0.070670545,0.08356747,0.08781106,0.07853953,0.05808408,0.036456987,0.02667288,0.04226632,0.08941796,0.16336162,0.2436539,0.30546388,0.32882693,0.31106427,0.26127133,0.19612108,0.13027625,0.075417824,0.03681426,0.015099984,0.00730346,0.010713966,0.022277266,0.037166394,0.04781132,0.048042383,0.037732277,0.02275751,0.010198123,0.003700236,0.0036310854,0.010527424,0.025177563,0.048110202,0.07401195,0.09578696,0.105104424,0.101798095,0.08943219,0.07480542,0.059960883,0.04517768,0.030689344,0.019797156,0.016811917,0.02298686,0.034387227,0.043173846,0.044015843,0.038556222,0.036527943,0.046716318,0.072229676,0.10262252,0.12549691,0.1301401,0.1246736,0.12343607,0.14156006,0.17281622,0.2006376,0.20475923,0.18216221,0.14095841,0.09968283,0.07159213,0.06529721,0.07677296,0.096695386,0.111317664,0.11285747,0.10059694,0.08163668,0.06428696,0.053092238,0.046814363,0.041818332,0.036904562,0.035595074,0.04156949,0.053522218,0.063756175,0.0660855,0.06258886,0.06183352,0.07023311,0.085310765,0.10142737,0.113739334,0.12203622,0.12379977,0.11706639,0.100055754,0.07656821,0.051464777,0.030116728,0.015847981,0.012020106,0.021662736,0.045865465,0.079850204,0.1125119,0.13004254,0.12512831,0.09998965,0.06625024,0.036744658,0.0223737,0.02877379,0.054553557,0.09035441,0.11976588,0.13135014,0.124745704,0.11540178,0.12050023,0.1486227,0.18928151,0.22030504,0.22086231,0.18672377,0.13506483,0.09379848,0.08598565,0.112855256,0.15789829,0.19687222,0.21814251,0.2219621,0.21700285,0.20740335,0.19346298,0.17236328,0.14284316,0.10699237,0.0701227,0.03912067,0.018919306,0.011849277,0.018731609,0.037745487,0.065327525,0.09386539,0.11744972,0.12970233,0.12793015,0.11042857,0.08345903,0.059194297,0.0532063,0.07001802,0.099339224,0.11888846,0.114307486,0.08716003,0.05440281,0.03128509,0.023756938,0.027128816,0.03350472,0.036224697,0.032643486,0.024143921,0.0144613655,0.0069771223,0.0033527322,0.003868309,0.008269875,0.01515203,0.021630572,0.024187567,0.021388689,0.014799961,0.00786985,0.0030477615,0.0010384002,0.0016997987,0.005620017,0.01335758,0.023620913,0.032299925,0.034882627,0.029873773,0.02015539,0.010470449,0.004004313,0.001024275,0.00013767526,1.1322903E-06,1.2045801E-06,4.731446E-06,4.256192E-05,0.00021228108,0.00066859013,0.0014955826,0.0025062177,0.003263968,0.0033414636,0.0027255954,0.0017856215,0.0010016592,0.00055678905,0.00037254274,0.00029127748,0.00028376596,0.000421074,0.0007043909,0.0010191113,0.0011480424,0.0010124339,0.0006751462,0.00034776863,0.00020638695,0.00039078467,0.0009555667,0.0017628222,0.0024822738,0.0026891269,0.0022810579,0.001477777,0.0007228029,0.00024878277,7.825762E-05,7.348009E-05,0.00013386497,0.00019529928,0.000219426,0.00019309128,0.00012863438,6.4358006E-05,2.155237E-05,4.463034E-06,2.5141503E-06,5.0582155E-05,0.0005121358,0.0021517552,0.005953307,0.011708941,0.017621735,0.02061089,0.019165508,0.014482323,0.010277853,0.009774667,0.013272762,0.01800637,0.01997093,0.017539648,0.011849412,0.0065523908,0.004838655,0.009150055,0.019188158,0.032305848,0.04345767,0.049206834,0.048865896,0.044491995,0.037449334,0.028541883,0.018693807,0.0100778835,0.00445073,0.0020088998,0.0014927333,0.001486436,0.0012989492,0.0008707579,0.0004442926,0.00026608203,0.0005796587,0.0016286261,0.0032505451,0.004875941,0.0055295364,0.0054411334,0.0072046085,0.01601994,0.036083344,0.0648065,0.092025936,0.10489013,0.09939986,0.080717824,0.06000902,0.043938056,0.038051993,0.046848733,0.074510604,0.11401725,0.14733927,0.15417106,0.12953137,0.086168684,0.045475412,0.021686727,0.018092431,0.02889735,0.04540285,0.058028463,0.06066635,0.0523151,0.037708346,0.022744067,0.011535279,0.0048227217,0.0016104989,0.0005432692,0.0010920119,0.0036043383,0.008418257,0.014442496,0.019031446,0.019527338,0.015682353,0.009657771,0.004462274,0.001530805,0.0007250272,0.0009709171,0.0014648056,0.0016732562,0.0014955363,0.0010324175,0.0005853985,0.000320964,0.00034921247,0.00072616833,0.0016477391,0.0029954808,0.004334954,0.004913037,0.004654034,0.004413469,0.005943528,0.010890122,0.019773865,0.031465277,0.042981654,0.050761294,0.051812496,0.045637295,0.034308653,0.021983998,0.0128280185,0.009684373,0.013229438,0.0218794,0.031971674,0.0386913,0.038503256,0.0312942,0.020530073,0.010621901,0.004319833,0.0025865266,0.0061231595,0.01626079,0.03240301,0.050718337,0.06457162,0.07063535,0.070595615,0.072188936,0.08073772,0.09735841,0.11310461,0.1187408,0.107356094,0.084977716,0.061516494,0.046778012,0.04159819,0.043994028,0.053053904,0.06885702,0.0882746,0.102110244,0.1027501,0.08832563,0.06567318,0.043313622,0.027404487,0.018547857,0.015056324,0.016478145,0.025520584,0.042820077,0.06310486,0.075887434,0.07650641,0.071063705,0.07097056,0.080628626,0.091700934,0.09343988,0.080627196,0.059554193,0.03858271,0.025171975,0.019904623,0.020194337,0.0209691,0.020842785,0.022421753,0.030706637,0.045530867,0.060051605,0.06447834,0.05522241,0.037193533,0.02052084,0.012989331,0.01758645,0.031557236,0.049062327,0.06173991,0.06415384,0.055244368,0.040838055,0.027287548,0.018977169,0.014676977,0.01184673,0.009155947,0.00862779,0.013439325,0.023404757,0.034321293,0.038977224,0.035262898,0.026648631,0.02180314,0.024282863,0.031707272,0.035878893,0.032725208,0.023777276,0.016246004,0.01537371,0.02144731,0.029242046,0.032522667,0.028638957,0.019654483,0.010348196,0.0040371995,0.0014657377,0.0014824535,0.0027710758,0.004370979,0.005570415,0.006165974,0.0063088373,0.0064270813,0.006589724,0.006619163,0.0062209163,0.0052674036,0.0039578634,0.0027499564,0.002326103,0.0029851298,0.00446477,0.0059417696,0.0067950333,0.0069406703,0.006691961,0.006254172,0.00610514,0.008001975,0.015005894,0.028808555,0.046166223,0.059227396,0.0607115,0.05031037,0.034231596,0.020161284,0.011292717,0.007878591,0.010003508,0.020344066,0.03883085,0.06059061,0.0748998,0.074782364,0.060295016,0.040202808,0.023130314,0.014145479,0.012716699,0.016104562,0.020984583,0.024564797,0.02535371,0.023452342,0.021318026,0.022507027,0.030255832,0.043522596,0.056878407,0.0629887,0.060516383,0.056109082,0.060195,0.076120645,0.09593687,0.105720155,0.09720871,0.073928446,0.047969606,0.030671788,0.026848719,0.033439953,0.045042124,0.057036657,0.06857557,0.07831923,0.083971895,0.083489805,0.08006455,0.08109621,0.0919439,0.11163766,0.13222958,0.14416222,0.13909692,0.11568227,0.08034005,0.046088073,0.024647767,0.021530911,0.0328171,0.04889984,0.05795556,0.05444412,0.040045027,0.02320633,0.010384793,0.0040978338,0.0023079056,0.0027194654,0.0036586623,0.0044454075,0.0046696397,0.0042360974,0.0033358056,0.0023960986,0.0018224897,0.0017853025,0.002128146,0.0026844814,0.0038025703,0.006356265,0.010695308,0.015631462,0.018620474,0.017906127,0.013959657,0.009916742,0.0096149035,0.017295172,0.03515577,0.06395599,0.09930549,0.13476437,0.16060846,0.1702923,0.15994404,0.13269831,0.09579583,0.05938818,0.031157836,0.013993837,0.005938035,0.0032167202,0.002936392,0.003825551,0.005222408,0.0064489986,0.0067955903,0.0063418187,0.0061368593,0.008724704,0.01776453,0.037318673,0.06898182,0.10947756,0.14952436,0.1761918,0.17900355,0.15621871,0.119344674,0.08678316,0.07359343,0.07974573,0.092313446,0.09537076,0.082866125,0.061117206,0.041425902,0.030529216,0.02664499,0.024737002,0.022354245,0.022340134,0.028689614,0.042648796,0.060560733,0.07677641,0.08667174,0.088945925,0.08418522,0.07358308,0.058216434,0.040745094,0.025540223,0.017568285,0.019119702,0.02773141,0.03693877,0.039903242,0.034494177,0.023842856,0.014027511,0.009120843,0.010589066,0.017548643,0.028416922,0.039846417,0.047707662,0.04821396,0.041017573,0.02906356,0.01760525,0.011135605,0.012186649,0.01997071,0.030771889,0.039237633,0.04191743,0.039928038,0.037801985,0.039451174,0.043840755,0.046436127,0.0427358,0.033004176,0.021161495,0.011975125,0.007944745,0.010539497,0.022106485,0.044116516,0.07222854,0.09461006,0.099695,0.08737216,0.072012864,0.07165137,0.09259498,0.123603486,0.14436209,0.14080897,0.11333203,0.075409465,0.042573605,0.02521222,0.02269171,0.028444,0.03369358,0.035985082,0.036823977,0.03922311,0.041184064,0.038814668,0.030231878,0.018530885,0.008558066,0.0028013631,0.0007047997,0.0002955195,0.00082028005,0.0036277317,0.0118602095,0.027550563,0.048974555,0.07126862,0.09112253,0.10772555,0.119570404,0.121139534,0.109966464,0.0943284,0.09085,0.110295214,0.14501546,0.17477827,0.18035935,0.15825577,0.118468635,0.076731876,0.043639023,0.022176048,0.010809126,0.007500572,0.012042091,0.022575935,0.03540844,0.04507892,0.050934076,0.055202913,0.060449738,0.06293314,0.058562543,0.0485623,0.043369308,0.052215423,0.07453612,0.096509874,0.10368252,0.09118834,0.06931024,0.0517582,0.045671973,0.045904275,0.043636713,0.035437983,0.02711115,0.028698914,0.044390973,0.06910879,0.09246849,0.11201632,0.13696115,0.17841418,0.2326429,0.27678946,0.28582266,0.25109568,0.18740846,0.11996925,0.06953988,0.044177163,0.03978089,0.04639211,0.05285214,0.053645894,0.04939956,0.045753103,0.047400445,0.054889053,0.06467268,0.07168546,0.07290891,0.06790737,0.058325086,0.046033602,0.03276002,0.020467827,0.011001023,0.0056733624,0.0041566305,0.0052769408,0.0072258413,0.008851461,0.009449568,0.009290347,0.0086718155,0.008025946,0.007462842,0.008826752,0.015530385,0.032439467,0.058746085,0.08693439,0.10304309,0.099756695,0.07931862,0.053562924,0.031741943,0.018386075,0.013492201,0.018079063,0.032199267,0.05286616,0.07147751,0.079162784,0.07135595,0.052338798,0.030547744,0.01388051,0.0048662545,0.0025552486,0.0049299854,0.010116876,0.01596612,0.019364098,0.018640114,0.014099537,0.008767656,0.0054861903,0.006380152,0.010942004,0.017266287,0.021959824,0.023059405,0.020191899,0.015413147,0.011096639,0.009543299,0.011492302,0.015850144,0.019666957,0.020093763,0.016442543,0.0108961845,0.0074778064,0.0103004705,0.021883601,0.040494107,0.059632946,0.0701104,0.06681385,0.051577847,0.03228738,0.016127711,0.006745219,0.0047795153,0.012465961,0.03487682,0.07517615,0.12678824,0.17096101,0.18771057,0.17062138,0.1327024,0.09389723,0.06607294,0.048633132,0.03966457,0.043626342,0.06796219,0.107879125,0.14520825,0.15835077,0.14421864,0.11516216,0.0889216,0.06929863,0.053171787,0.03729005,0.02674047,0.027869811,0.043365717,0.071074344,0.103277445,0.129506,0.13655192,0.11986374,0.08681198,0.05645996,0.04500376,0.054063946,0.07080562,0.07737122,0.06822177,0.050112326,0.037328172,0.034898933,0.038601547,0.03967251,0.037375886,0.038987283,0.05191968,0.07377864,0.09346049,0.102576405,0.10389834,0.10601441,0.11199051,0.11390125,0.10401434,0.082935266,0.062982894,0.054725986,0.059943605,0.068576366,0.07068739,0.06476466,0.058833152,0.059233293,0.06358346,0.063603394,0.057312295,0.053040285,0.06417164,0.098095946,0.14963107,0.20364106,0.23974125,0.24717438,0.22842652,0.20165467,0.1802811,0.16622193,0.14752991,0.11892655,0.08791306,0.0725843,0.08258796,0.11196095,0.14026032,0.14888419,0.1305346,0.09432771,0.055438276,0.027918704,0.017224154,0.023127208,0.038730487,0.05449331,0.05981624,0.051788967,0.034818545,0.01914337,0.011663017,0.014964439,0.025418824,0.036879808,0.042018056,0.037848663,0.02657375,0.014943317,0.008712032,0.011013314,0.020285748,0.032251175,0.040193867,0.04008862,0.0317922,0.02018248,0.009935015,0.0037596717,0.0009883643,0.00018253493,1.4961818E-05,6.399138E-06,0.0003709941,0.0020891523,0.006905256,0.015496167,0.02622374,0.034394454,0.03592257,0.029826172,0.019707391,0.010088618,0.003914612,0.0010746439,0.000420713,0.0010606584,0.003090907,0.006301483,0.009717689,0.011458743,0.010593756,0.0075524575,0.0041297595,0.0027071296,0.006594228,0.020117432,0.04422638,0.072991624,0.09309835,0.09411026,0.07570617,0.04871783,0.025002567,0.010390737,0.003637316,0.0011712243,0.0010468654,0.0037743226,0.012150862,0.02777622,0.0494484,0.070051916,0.081563234,0.07803762,0.0617791,0.040700246,0.02638984,0.029116774,0.054723665,0.10130886,0.1562873,0.20001282,0.21374361,0.19112448,0.14192206,0.086026736,0.04214181,0.019908268,0.02063285,0.039363623,0.065862514,0.086418055,0.09079497,0.08056003,0.06566758,0.055476904,0.049194187,0.04178552,0.030013075,0.017212724,0.007556682,0.0038344562,0.006500648,0.016123211,0.031592727,0.049550224,0.06371968,0.069223106,0.063965686,0.05052829,0.033533663,0.018220594,0.007683145,0.002293867,0.00045048448,0.00045454758,0.0017898967,0.0048115817,0.009193119,0.013414626,0.015093523,0.0133619895,0.009136397,0.004799814,0.0018306944,0.001273048,0.004125415,0.01251214,0.02618429,0.041279137,0.050110936,0.048192974,0.0369558,0.024393206,0.018887019,0.025356913,0.04190813,0.060279638,0.06988981,0.064592026,0.048370574,0.03271537,0.02997454,0.04329515,0.06580455,0.08314835,0.08535051,0.07098622,0.04844113,0.026978308,0.012301232,0.004480671,0.001260011,0.00025706962,0.00015364077,0.0013202993,0.0055511314,0.015321408,0.029899428,0.044507727,0.05127446,0.04683214,0.034792516,0.024943203,0.024910321,0.034486186,0.045885235,0.049295366,0.041708756,0.026970359,0.0138490135,0.007898693,0.011362438,0.020825585,0.031090846,0.035362445,0.03251897,0.026811006,0.02768863,0.038636725,0.05570132,0.06700456,0.065280676,0.050435573,0.031133175,0.01512449,0.0077859242,0.010420059,0.023627251,0.043557663,0.062172875,0.0688406,0.06000809,0.04046105,0.02121853,0.011036843,0.015489347,0.03619018,0.0687286,0.10066757,0.115331255,0.104725,0.07498304,0.04381999,0.027369566,0.03415013,0.05969922,0.09047234,0.10754553,0.100963235,0.074057564,0.043112468,0.02465064,0.02995011,0.06062576,0.10576265,0.14420226,0.15348655,0.12893008,0.08404254,0.042676974,0.01972148,0.020716226,0.042624902,0.07772858,0.11112868,0.12597845,0.114265166,0.08268612,0.047678262,0.023932353,0.01848168,0.031503227,0.055915177,0.080793254,0.09349767,0.0920383,0.08141315,0.071071945,0.061763395,0.052699205,0.04389191,0.040507246,0.043702904,0.048508424,0.04785269,0.040769063,0.034028206,0.035158966,0.045568276,0.058547694,0.06519944,0.06050032,0.04699269,0.032203384,0.024236068,0.026219167,0.034763947,0.041862812,0.04193397,0.036439348,0.0337659,0.040509477,0.055020947,0.06691266,0.06681966,0.05379212,0.03654985,0.025711082,0.026997643,0.037533145,0.04895462,0.052327707,0.04540789,0.0338739,0.028535053,0.035908718,0.053185284,0.06895231,0.072168864,0.060315594,0.04015537,0.021457724,0.009495514,0.004034146,0.0020468466,0.0013903434,0.0013689826,0.002262258,0.0041412264,0.0064712255,0.008051723,0.008007723,0.006504997,0.004949376,0.005058296,0.0076328306,0.011850119,0.015607446,0.017093072,0.016085358,0.013900388,0.012215172,0.011843576,0.01293242,0.014795937,0.016403062,0.016257651,0.013928361,0.010819514,0.010549166,0.017867776,0.035350394,0.060816716,0.08520653,0.09824911,0.09392771,0.07597124,0.053122234,0.03443476,0.024615126,0.026180187,0.03890282,0.059527498,0.07948573,0.08960203,0.08444997,0.06668828,0.04373051,0.023498045,0.010013113,0.0032184718,0.0007558353,0.00019479735,0.00016390013,0.0003462497,0.0022491303,0.009278632,0.025812758,0.051071476,0.076951504,0.08974942,0.08241795,0.058878902,0.0323113,0.013399492,0.006293518,0.009442974,0.019224716,0.030757004,0.037772506,0.03637318,0.027510798,0.017730195,0.014269148,0.021214426,0.035584103,0.049561586,0.05417727,0.047189396,0.0328338,0.020215956,0.016408037,0.027602032,0.055449497,0.096323945,0.136184,0.15930033,0.1560746,0.13163237,0.09807244,0.067152984,0.043762524,0.029257061,0.024630224,0.031934306,0.050776016,0.07441672,0.090509534,0.08882854,0.07030397,0.04701528,0.03378536,0.036100853,0.049054038,0.06138726,0.066078916,0.061795067,0.052660864,0.04200378,0.031737357,0.02216816,0.014174889,0.008684019,0.006080738,0.0057658236,0.0067119547,0.007988472,0.008794779,0.008575399,0.007121451,0.0049317046,0.0028858671,0.0019274888,0.0025862313,0.004874965,0.008538381,0.013331222,0.019284317,0.025526509,0.030072471,0.030235752,0.025709406,0.018893644,0.013971242,0.013659105,0.01895201,0.029060915,0.04118531,0.05030868,0.05118419,0.043291632,0.03273686,0.030564196,0.046794802,0.08460778,0.13661695,0.18550189,0.21169251,0.20375885,0.16571654,0.11535624,0.074615404,0.058734942,0.06833347,0.0901216,0.105158895,0.10107198,0.079504795,0.05295593,0.035779845,0.035619788,0.05135482,0.07413072,0.091739245,0.09490803,0.083672404,0.06751554,0.056840274,0.054973457,0.05663188,0.05700903,0.05601154,0.057507265,0.061045308,0.062484223,0.05795492,0.05001973,0.043317195,0.040107653,0.03669491,0.030098267,0.020886278,0.015843367,0.021323377,0.040308133,0.066027835,0.08637333,0.08871215,0.072074264,0.04532597,0.022618553,0.01123168,0.011234338,0.016735593,0.021841934,0.022564175,0.018604774,0.01237977,0.008075354,0.009477668,0.019770227,0.037017345,0.054872762,0.062658034,0.057373732,0.046188068,0.046431046,0.06913462,0.10868398,0.14279741,0.14853017,0.121966206,0.07940704,0.047775462,0.044824656,0.07370979,0.1193014,0.15820114,0.168388,0.14635532,0.10731319,0.0781671,0.076720625,0.10307083,0.13826044,0.15830517,0.1501491,0.119540185,0.08711139,0.07025604,0.07296725,0.082549125,0.08404847,0.070854336,0.05052795,0.03611307,0.035582036,0.04560831,0.055006906,0.054388016,0.04250935,0.025941262,0.012649782,0.008175536,0.016230954,0.0394486,0.07649953,0.11848968,0.15278733,0.17120706,0.17447484,0.16751148,0.15322274,0.13293798,0.110637814,0.09423407,0.09222219,0.10943833,0.1457599,0.1918269,0.23010533,0.24006899,0.21286649,0.15934788,0.10471181,0.07377283,0.07290592,0.09009963,0.10282064,0.10129403,0.09358411,0.09877946,0.12363955,0.15599094,0.17707618,0.18226524,0.18691313,0.20939565,0.25262472,0.2984408,0.32325432,0.31351838,0.27192417,0.21090217,0.14612658,0.093425326,0.06584937,0.06852716,0.09291423,0.11951024,0.12823692,0.11257299,0.0829464,0.05810058,0.04905482,0.05252023,0.055992592,0.05050819,0.03677329,0.022979973,0.016775042,0.01997084,0.028248498,0.034683358,0.034599055,0.02772685,0.017798478,0.008961674,0.0034510028,0.0010703796,0.0011911569,0.004598078,0.013448375,0.028875327,0.047333654,0.061125938,0.06310731,0.053984303,0.042506456,0.03884572,0.045501653,0.055343777,0.05849443,0.050239485,0.034436073,0.018322416,0.0073449234,0.00202892,0.0007398886,0.0022552456,0.0072884704,0.016128495,0.026579723,0.033651177,0.03332338,0.026215887,0.017751154,0.014413487,0.01856144,0.02764088,0.03594047,0.039217353,0.036258996,0.02876178,0.01955869,0.0121238185,0.0119734155,0.026083952,0.058457717,0.10196992,0.13815965,0.14719754,0.124420464,0.0826604,0.043607224,0.021287657,0.019687476,0.032651473,0.052024376,0.067644276,0.074078284,0.06923079,0.057107925,0.042958766,0.03269155,0.028356338,0.027963907,0.026607567,0.021513024,0.013652534,0.0065128156,0.0021078086,0.0007464869,0.0025687749,0.0098489765,0.025651263,0.049621675,0.076102495,0.09611077,0.10475514,0.10216761,0.092333324,0.07683288,0.057403464,0.036415774,0.018898789,0.007771009,0.0041658566,0.007864014,0.020942463,0.04313764,0.070393346,0.091112815,0.09680378,0.08578324,0.06941851,0.060829032,0.06731316,0.08343502,0.09667768,0.097568415,0.08458289,0.064146616,0.043148,0.026868442,0.019052908,0.024260998,0.046185154,0.080182336,0.11235263,0.1246391,0.11139721,0.08534095,0.07488409,0.10696962,0.188071,0.29493722,0.3806611,0.40593663,0.36092663,0.27507263,0.19252962,0.15072961,0.15864511,0.19918914,0.24045551,0.2611588,0.26287484,0.26523617,0.28290674,0.31144032,0.3285232,0.3147982,0.26905033,0.21404503,0.17478365,0.160537,0.15495948,0.13873614,0.11022935,0.093281485,0.11830091,0.19459458,0.30077532,0.39295816,0.4355422,0.41772404,0.36034894,0.30094886,0.27174547,0.278893,0.29644692,0.29297623,0.26020482,0.2208217,0.2003387,0.20076805,0.20388229,0.19224608,0.16460256,0.12979409,0.09984798,0.086554386,0.09933373,0.13524312,0.17505157,0.19422877,0.18626273,0.16694511,0.1585779,0.16541678,0.17456813,0.17281067,0.16180433,0.15167661,0.14844109,0.1487434,0.15064865,0.15808006,0.17966114,0.21177624,0.23912875,0.24067543,0.21217155,0.16732371,0.12856738,0.10735979,0.10075879,0.1003126,0.10097293,0.10316453,0.10779295,0.11503487,0.12181646,0.12516321,0.12462927,0.12891693,0.14518952,0.17060548,0.18600254,0.17855544,0.15496743,0.13936724,0.14633231,0.16820075,0.18428142,0.18469875,0.17900757,0.18870187,0.22264206,0.27181974,0.31166205,0.3282734,0.32033226,0.3019472,0.28773233,0.29307875,0.32145223,0.35861707,0.3755283,0.35183057,0.29268572,0.22237934,0.16176249,0.11795676,0.089419656,0.07675465,0.08018614,0.09573921,0.11473572,0.12955415,0.1384341,0.14036305,0.13895965,0.13816582,0.14776653,0.16654696,0.1863242,0.19403435,0.19371259,0.19550443,0.20435695,0.20542209,0.18672286,0.15212438,0.12232696,0.108677305,0.10724709,0.10715926,0.109339155,0.119654834,0.13849868,0.15210684,0.1506411,0.13478409,0.11877323,0.1130198,0.12514222,0.15132456,0.18139684,0.19441684,0.18175708,0.15393548,0.13897513,0.15163127,0.18212311,0.20470087,0.20321216,0.18157029,0.15496527,0.13504098,0.12323087,0.11694935,0.11375717,0.11236065,0.110453874,0.1074753,0.10622969,0.10825012,0.10969207,0.10336539,0.08789271,0.07038579,0.059080318,0.055330675,0.053022247,0.04889202,0.048005413,0.0638391,0.10693721,0.1788282,0.2659335,0.3466729,0.39673066,0.4024324,0.36257413,0.29178628,0.21168487,0.14727452,0.11297596,0.10946404,0.120384835,0.1294799,0.1284609,0.12267497,0.11853584,0.118202955,0.11765006,0.11355261,0.10708809,0.10526988,0.11304724,0.1275294,0.13485883,0.1253978,0.101885706,0.0803971,0.07109636,0.07128642,0.06967723,0.06264905,0.05715999,0.06201912,0.077698015,0.096269995,0.11125409,0.1218243,0.13206176,0.14344801,0.15443544,0.16225399,0.1697125,0.18233722,0.20260541,0.22059415,0.22324114,0.2052776,0.17777175,0.15419155,0.14036272,0.13251193,0.12728088,0.1239548,0.12055541,0.11282284,0.099072404,0.08523583,0.07997482,0.08596987,0.09577373,0.097321324,0.08507369,0.06332805,0.042505097,0.029021775,0.023686966,0.025537899,0.038029034,0.06722642,0.11121396,0.15663868,0.18589377,0.19781017,0.20727426,0.23083003,0.26405355,0.28765512,0.28536046,0.25780246,0.21766353,0.17966492,0.15581332,0.15219672,0.16500999,0.1824122,0.18939917,0.17982475,0.15580155,0.13038911,0.11503149,0.116107225,0.12614508,0.13310577,0.12688212,0.10724852,0.08053494,0.055908397,0.04165339,0.042848885,0.056916226,0.07357934,0.0796681,0.0719532,0.05890728,0.054682676,0.06281886,0.07448558,0.07641227,0.06723658,0.05905026,0.067960024,0.095545985,0.12745981,0.14280146,0.13591398,0.11578543,0.09852258,0.08788367,0.07948688,0.06613187,0.050327256,0.039825354,0.04270694,0.05889835,0.07947799,0.09177276,0.08783859,0.07139467,0.055774182,0.055733133,0.07627934,0.10758904,0.13054326,0.13081814,0.111546874,0.092056155,0.09148828,0.11147332,0.1335644,0.13678528,0.117518656,0.09490403,0.09421983,0.1240016,0.16626601,0.19125855,0.18362959,0.15692048,0.13833153,0.14178781,0.15516953,0.15809809,0.14539243,0.13136037,0.13107063,0.14435972,0.16006678,0.17251581,0.18572855,0.20157753,0.20848091,0.1912977,0.151122,0.11048167,0.09408754,0.10532721,0.124561846,0.1311603,0.12535655,0.12856492,0.1570021,0.20189469,0.23240823,0.22954695,0.2031762,0.18265523,0.18116672,0.18725498,0.18211478,0.16847785,0.16593538,0.18560036,0.21133345,0.21332307,0.179641,0.12832628,0.09530131,0.10241085,0.1419771,0.18277091,0.19866544,0.19507109,0.20398928,0.25474092,0.33864346,0.41309693,0.432749,0.38791528,0.31003773,0.24517667,0.21684603,0.2116446,0.19814695,0.15950368,0.10663548,0.06544117,0.05136652,0.06020617,0.07392775,0.078373976,0.07208513,0.06643417,0.07220439,0.08963147,0.1074724,0.11603722,0.11581647,0.114241816,0.11352376,0.108128846,0.094591,0.081446655,0.0846265,0.11425718,0.16505916,0.22260444,0.26819244,0.29026738,0.28234687,0.2552581,0.2218672,0.19450766,0.16719975,0.13753712,0.111581855,0.10754061,0.12963907,0.16040413,0.17239456,0.15239207,0.11455833,0.0872119,0.09209653,0.12431296,0.15785258,0.16410755,0.1379378,0.09901038,0.077154614,0.08418437,0.10847738,0.12376162,0.11423836,0.082597084,0.04684892,0.024391346,0.024783691,0.0470741,0.08050503,0.10769365,0.11247123,0.09231827,0.058494773,0.027930737,0.009863812,0.0054849214,0.011992004,0.02653201,0.043938104,0.05591255,0.0556891,0.043401014,0.026094234,0.011791557,0.0050941813,0.0075090365,0.020027287,0.04067768,0.06284485,0.07546411,0.07239413,0.055755183,0.035166968,0.01853093,0.008892999,0.0050647426,0.005610971,0.00973142,0.015930794,0.021395044,0.023029158,0.019969964,0.013875975,0.009298235,0.012580247,0.032717716,0.07406735,0.13060611,0.17979491,0.19878936,0.18010414,0.14508636,0.12579226,0.14195235,0.18429585,0.2238008,0.23497681,0.21143383,0.16975003,0.13443813,0.12175708,0.1280898,0.13416713,0.12368965,0.094838895,0.061779197,0.03822642,0.029655809,0.03138097,0.03795284,0.046212185,0.05517527,0.061923545,0.06272514,0.055455912,0.042156372,0.027263878,0.014858543,0.0072311736,0.0058462094,0.012867528,0.029907428,0.053605914,0.07455704,0.08130216,0.07039955,0.04801714,0.025811309,0.010785534,0.0038711932,0.0019356305,0.0029742483,0.007032331,0.016545363,0.034648612,0.062333483,0.09494668,0.12139628,0.13096088,0.120542906,0.09933403,0.08049279,0.07278147,0.0740554,0.076606356,0.0731091,0.061513454,0.04482527,0.029036708,0.021087779,0.02504555,0.040119935,0.058436975,0.069946945,0.067223445,0.05201584,0.033090275,0.02320315,0.032416973,0.06311315,0.104549885,0.13599429,0.13954799,0.11590275,0.08548329,0.073992044,0.092471875,0.12966092,0.16125922,0.16649462,0.14246587,0.10126984,0.060643002,0.03072309,0.01340574,0.004992692,0.001770809,0.001035543,0.0016225846,0.0052738152,0.016386809,0.04025686,0.07354797,0.10403708,0.11376084,0.097753055,0.064617425,0.033313733,0.01410096,0.0077175293,0.0069720442,0.0069246013,0.005756572,0.0049794535,0.0071994043,0.015516731,0.031033384,0.05014968,0.06466139,0.06668327,0.05545141,0.03742361,0.02143819,0.011493764,0.0070042885,0.0050733197,0.0042270795,0.003781495,0.003589335,0.0035280194,0.0048706285,0.0103864195,0.02287897,0.041078094,0.058275733,0.06531671,0.058171708,0.04080848,0.022239665,0.009092859,0.0027349608,0.0006973076,0.00045477584,0.00085711386,0.0022355972,0.0057800934,0.013294682,0.025252938,0.039023098,0.048678633,0.04898731,0.039715063,0.026704684,0.018146932,0.020220043,0.03342008,0.053182364,0.0707403,0.079103075,0.07490671,0.061175693,0.042922422,0.026166203,0.014679889,0.010686307,0.012981798,0.018165119,0.021399787,0.020199219,0.015039456,0.009121813,0.004918835,0.003589223,0.005329696,0.011420636,0.022899047,0.03831029,0.0525037,0.060398344,0.061644692,0.060817014,0.06188561,0.06323066,0.05956317,0.04854813,0.034356914,0.024578953,0.023625156,0.029510668,0.035785608,0.03654704,0.03045977,0.0205137,0.011585583,0.007403115,0.010181188,0.019981032,0.034004856,0.046758678,0.05282704,0.050729003,0.042837333,0.033167485,0.02423664,0.017604463,0.014055833,0.0141817955,0.01709439,0.021133661,0.023855207,0.023828441,0.02043858,0.015069007,0.009763735,0.006899897,0.007416351,0.010484423,0.01379748,0.014935955,0.013558847,0.011385,0.011512835,0.015116043,0.021338241,0.027589396,0.03335723,0.039820135,0.04881851,0.058727995,0.06535839,0.064345285,0.05512849,0.04145806,0.02928109,0.025167339,0.032571357,0.051817168,0.075315915,0.093209065,0.094774716,0.07982662,0.054640442,0.031222856,0.016176183,0.01173244,0.0148473745,0.021375025,0.026472317,0.026655877,0.021770624,0.014834728,0.009889721,0.008874651,0.0114436345,0.016782576,0.024960225,0.036098123,0.047946025,0.055620123,0.05463162,0.045043726,0.033279702,0.028333986,0.03621456,0.05405445,0.07216632,0.0792756,0.07224537,0.05606805,0.040806543,0.032118503,0.030217595,0.03036365,0.028634267,0.023423456,0.01632978,0.009665082,0.005170394,0.003123128,0.0032129802,0.004873087,0.0074316277,0.009909735,0.011450634,0.011677892,0.0107280975,0.0089063635,0.0066383537,0.004474582,0.003008783,0.0024858431,0.002682696,0.0030954238,0.0032418428,0.0029181798,0.0022021271,0.0014147251,0.00088901515,0.0008462714,0.001380697,0.0024477271,0.0038631863,0.005200653,0.0059817308,0.00589216,0.0057679717,0.007633398,0.014514938,0.026717857,0.04140677,0.052374754,0.056429822,0.053480417,0.048041772,0.045167714,0.05162714,0.07138246,0.10148201,0.1292298,0.13933323,0.12550081,0.09561384,0.06702334,0.055394415,0.06585007,0.09067456,0.113390274,0.12036056,0.107917465,0.08408734,0.059241537,0.040637996,0.030540438,0.03009695,0.03957547,0.05645292,0.074774355,0.08828491,0.09568397,0.09879381,0.098966576,0.092776835,0.07888281,0.061474696,0.049941625,0.04843815,0.052299067,0.0523003,0.043731432,0.029754272,0.018011281,0.015419579,0.026114265,0.049058218,0.079778135,0.109376155,0.1306954,0.13719909,0.12759648,0.104112834,0.07684425,0.057715993,0.054809615,0.06386351,0.07330689,0.07289565,0.06395047,0.055689584,0.057100266,0.0681398,0.08151663,0.08883011,0.0867716,0.07843622,0.07075045,0.06958134,0.07687763,0.09009103,0.10471504,0.11487474,0.1156318,0.1058729,0.090429015,0.07698945,0.07065717,0.07349249,0.08614152,0.108699836,0.13546197,0.15627919,0.16259383,0.15743625,0.15105575,0.15054365,0.15177542,0.14778739,0.13897793,0.13145292,0.12696227,0.11825926,0.10009866,0.07593743,0.056434706,0.048576627,0.051542882,0.060207278,0.07005465,0.08241678,0.10055547,0.12687479,0.15635,0.17951374,0.18766952,0.18035032,0.16729033,0.16058646,0.16648142,0.18022895,0.19603609,0.213202,0.23434597,0.25380358,0.25849703,0.24252738,0.2169726,0.20111729,0.20305361,0.21642081,0.22962683,0.23588681,0.23222578,0.21961927,0.20593522,0.20136799,0.20646329,0.20683932,0.18761618,0.1504428,0.11168604,0.08569916,0.07246093,0.063967325,0.055309158,0.04896091,0.04986461,0.058698494,0.07139147,0.08195122,0.08907825,0.0952431,0.10355199,0.11383912,0.12688182,0.14557235,0.1705264,0.19591789,0.21526028,0.22911549,0.24080622,0.24805415,0.24417561,0.22914833,0.20926999,0.18836157,0.16314678,0.13440251,0.109544806,0.09593206,0.08854207,0.07888171,0.06466324,0.054822046,0.05499788,0.061769377,0.06427523,0.058437526,0.047859773,0.04042564,0.03742667,0.03651772,0.035075832,0.036592275,0.045399103,0.061024833,0.07525497,0.07820322,0.067492895,0.049055308,0.032889444,0.02508527,0.02902034,0.044400185,0.067987196,0.08996115,0.09979671,0.09208703,0.07197832,0.04910144,0.03208828,0.024373904,0.027265467,0.038719837,0.053675313,0.06301978,0.061655592,0.050718967,0.037806373,0.027931849,0.02209332,0.017918164,0.014920489,0.014113582,0.016853245,0.022507349,0.028912248,0.033001292,0.032948513,0.029275691,0.025578765,0.025795616,0.0316679,0.04035507,0.04680267,0.046515714,0.03917228,0.02784846,0.017229639,0.010335732,0.008628706,0.013952534,0.030134737,0.060053598,0.09840312,0.13059409,0.14020626,0.12395189,0.09457108,0.071090266,0.06267414,0.064059235,0.06550925,0.06290799,0.06134507,0.0643011,0.06936263,0.06790098,0.057409186,0.04362918,0.038495794,0.04772858,0.06802351,0.08714769,0.094152234,0.08392467,0.06293585,0.04311222,0.03701815,0.04617082,0.06227662,0.07048537,0.0636594,0.04584381,0.032144204,0.037353534,0.06737186,0.113970675,0.1609059,0.19576065,0.218009,0.23271422,0.24045528,0.23257889,0.2045111,0.16385281,0.13358706,0.13135278,0.15823106,0.19085492,0.20314746,0.18114026,0.13506325,0.08636042,0.05559562,0.04960152,0.0616921,0.07586616,0.07873908,0.066900276,0.049244177,0.038494315,0.041253764,0.05332863,0.06276784,0.06089582,0.046990603,0.029974766,0.02005148,0.025124347,0.044519212,0.069931455,0.087011784,0.08585747,0.06679294,0.04068255,0.019089567,0.0077873864,0.0056300233,0.0088844905,0.013789073,0.01748821,0.018167345,0.015980158,0.012535773,0.010018154,0.009496034,0.011294954,0.014584504,0.018060358,0.019669982,0.018330196,0.014676306,0.012121461,0.015667202,0.030288616,0.055689692,0.084192164,0.10188612,0.10003977,0.08146224,0.06174915,0.055502832,0.06760731,0.087532975,0.101811685,0.10366714,0.104331516,0.12013128,0.1606489,0.21125562,0.24611078,0.2418294,0.19914801,0.1359537,0.0781671,0.042079434,0.033922624,0.04803839,0.0723061,0.08976692,0.089212395,0.07014642,0.044341523,0.025165102,0.020623041,0.027954996,0.03883363,0.043275427,0.038805112,0.029512519,0.02488033,0.028411457,0.037127107,0.04176888,0.038419332,0.029506221,0.023749793,0.024951572,0.032145467,0.040321816,0.050712924,0.06551158,0.08439896,0.09669504,0.09300453,0.07293623,0.050396588,0.04170373,0.055131376,0.084540844,0.11414739,0.12770541,0.1182951,0.09100562,0.059046086,0.03449474,0.023162907,0.02260091,0.026333036,0.027582632,0.024737308,0.02197595,0.02827783,0.049579192,0.08416531,0.11967655,0.1416868,0.1411287,0.12054318,0.08938685,0.058065254,0.033011183,0.016245553,0.007167566,0.0037100464,0.0050477884,0.012288702,0.02851408,0.052955102,0.07876789,0.09355483,0.090310074,0.07231349,0.05472495,0.053374212,0.07708001,0.11886287,0.1593043,0.1757421,0.15951204,0.122755766,0.08982593,0.07773826,0.084167086,0.093017675,0.08953231,0.07130518,0.046754286,0.026297987,0.015293711,0.012977096,0.016297046,0.022844462,0.031915303,0.04208222,0.051139504,0.05626115,0.05751349,0.055968467,0.053244825,0.048940886,0.043915797,0.039435808,0.03721225,0.036623027,0.03654347,0.035665434,0.033169713,0.028246574,0.02103206,0.013308238,0.0071626757,0.0036961206,0.002822026,0.005034067,0.012096704,0.024803458,0.040081825,0.050779436,0.050712872,0.039778408,0.024236664,0.01183968,0.0067666317,0.008771165,0.014493945,0.019785032,0.021177126,0.017882379,0.011755607,0.005940341,0.0032535885,0.0059212814,0.01610808,0.032689746,0.050430674,0.059924662,0.056310777,0.04134744,0.023739323,0.010171761,0.003188974,0.00062479556,0.00014980693,0.00065467966,0.0026447803,0.007014107,0.013221525,0.019023346,0.021133697,0.018445687,0.012403831,0.0063459477,0.0022852856,0.0008421801,0.0017738133,0.0055954666,0.012247018,0.02001215,0.025147883,0.024977902,0.019943943,0.013627626,0.00934497,0.008084029,0.008630672,0.009552387,0.0101793995,0.010345117,0.010055029,0.009285959,0.008372595,0.007616444,0.0075631714,0.008179785,0.009091348,0.00916196,0.009181279,0.012246453,0.023973132,0.044682723,0.0677949,0.07978215,0.07398986,0.054029968,0.033863693,0.023692226,0.024910176,0.030005177,0.031318057,0.027031926,0.021191237,0.019136285,0.021648226,0.025011694,0.024513429,0.019138487,0.011499495,0.005145658,0.0019356497,0.0028622278,0.010044999,0.026392454,0.0516393,0.07836736,0.09452301,0.09131303,0.07065925,0.043184277,0.020348145,0.007628901,0.004978397,0.010758616,0.022358937,0.03556606,0.04361656,0.04249497,0.032853287,0.02037856,0.010040107,0.004016301,0.0013205996,0.0003873376,0.0006375598,0.003300544,0.011098382,0.025408423,0.043065965,0.056171045,0.057339963,0.046003353,0.030814014,0.026230985,0.04634827,0.09393231,0.15388381,0.19581676,0.19558053,0.1531379,0.09443027,0.051300585,0.04310217,0.0687479,0.11071964,0.14337404,0.14710985,0.119585484,0.07759998,0.045806874,0.043880522,0.077598184,0.13372229,0.1841671,0.2002104,0.177189,0.13864927,0.120871276,0.13726942,0.17074107,0.18594462,0.16513863,0.116604954,0.06925777,0.0488176,0.07008309,0.12970221,0.20558341,0.26122892,0.26573652,0.21740331,0.14739667,0.10035956,0.10508124,0.15842389,0.22996141,0.28032893,0.28506145,0.24457926,0.18350686,0.13645557,0.13359673,0.1837591,0.26471034,0.33118317,0.34206557,0.2886062,0.1994549,0.11952684,0.08261568,0.09461235,0.13458264,0.17167808,0.18755239,0.19387299,0.21493049,0.26389277,0.31846467,0.3466895,0.32702795,0.2695449,0.19529939,0.12907764,0.08698311,0.079706736,0.10098058,0.13046323,0.14063348,0.12110191,0.081638135,0.047367457,0.03681175,0.056057367,0.09510604,0.13751025,0.16464598,0.1670611,0.14419422,0.10950512,0.07960894,0.073235065,0.09332617,0.13066256,0.16211617,0.17553414,0.17108919,0.16313802,0.15734722,0.15195258,0.14233297,0.13777347,0.15071417,0.18533216,0.22642164,0.25733697,0.26855686,0.26116732,0.23664619,0.20206945,0.17741843,0.18578921,0.23088002,0.28119037,0.29451755,0.25178498,0.17795248,0.11962005,0.11340592,0.15703999,0.21927114,0.2569987,0.25158545,0.20769937,0.15182595,0.10205808,0.06878649,0.050157443,0.046948504,0.058051597,0.08077315,0.104164,0.11784188,0.11778638,0.111927904,0.11001157,0.116968386,0.12953033,0.14236319,0.15032202,0.14877158,0.13424589,0.10733062,0.07576152,0.051431965,0.04617727,0.063109405,0.0939191,0.120615624,0.12753208,0.11108232,0.0809229,0.05229673,0.035989843,0.0344318,0.041393872,0.04753557,0.047229692,0.042763185,0.04050534,0.043038268,0.045803055,0.043705434,0.03796086,0.037422378,0.047815006,0.06543756,0.07701854,0.073956124,0.06027219,0.052922737,0.06619308,0.099881865,0.13797401,0.1628003,0.16893066,0.16375236,0.15615587,0.14631921,0.12857196,0.100682646,0.0695989,0.0473334,0.043172587,0.057499874,0.08180493,0.10277673,0.110292226,0.103434384,0.0927622,0.093153715,0.112385035,0.14171018,0.16079058,0.15263103,0.11858036,0.07576463,0.044191558,0.031183809,0.031689122,0.034350503,0.033083703,0.027968802,0.024604218,0.02558967,0.029707497,0.031047037,0.026909498,0.018420242,0.011093627,0.008446917,0.010740315,0.014784619,0.01725212,0.017725265,0.019728394,0.029736003,0.05066636,0.07723268,0.096069254,0.09592012,0.07737724,0.055131394,0.04896429,0.07123766,0.11766529,0.1699024,0.20723538,0.22012024,0.21073596,0.18488081,0.14629366,0.10001779,0.055969168,0.023965945,0.0077605336,0.0055336542,0.015743745,0.038399372,0.06870655,0.09465361,0.10189236,0.0875239,0.06221286,0.044537503,0.04374653,0.05597924,0.06677974,0.06621477,0.053895652,0.038485114,0.028258385,0.028008876,0.03990323,0.064041175,0.09435376,0.11700287,0.118806355,0.099397145,0.07286596,0.05558917,0.052541386,0.055992495,0.05591551,0.04904136,0.0393478,0.031839777,0.028365472,0.028342947,0.030285275,0.034310386,0.041041795,0.05285628,0.068485074,0.08417547,0.09326508,0.09561642,0.09368279,0.091772944,0.08848811,0.08482509,0.08256956,0.08713802,0.099921405,0.12200883,0.14810719,0.16860555,0.16925175,0.14851491,0.12073156,0.11160491,0.1297037,0.16114599,0.17444044,0.1553469,0.11445514,0.08505014,0.08993354,0.12657537,0.16763628,0.18711276,0.18493278,0.18369669,0.20420377,0.23792525,0.25597098,0.23807336,0.19435883,0.15379076,0.13438708,0.13120417,0.12616841,0.112437904,0.094891734,0.084163465,0.08084972,0.08414189,0.09048248,0.099764444,0.10607482,0.10721826,0.10326087,0.10015405,0.09975317,0.10455022,0.116612464,0.13855134,0.16345234,0.17952667,0.17827965,0.16589527,0.15269321,0.1442209,0.13312295,0.11452896,0.090166114,0.07439244,0.08096686,0.12096148,0.18982466,0.2680248,0.32301804,0.33112505,0.29319912,0.23737156,0.2014076,0.202172,0.22648399,0.23666187,0.21047854,0.15469648,0.10549299,0.094752856,0.12767869,0.18143447,0.2198414,0.22559981,0.20125292,0.16910474,0.14551987,0.14256865,0.16233341,0.20233913,0.2511913,0.2965304,0.3299748,0.3501167,0.35463765,0.33959725,0.30190736,0.24776524,0.19137414,0.15024938,0.13247597,0.13685738,0.1539708,0.18365814,0.22480392,0.27797678,0.3266928,0.36077046,0.36968657,0.36053994,0.33939588,0.3189002,0.30066404,0.2790579,0.24524416,0.20418833,0.17874081,0.1921929,0.2508289,0.33085123,0.39590946,0.41707423,0.39905968,0.3666481,0.34620643,0.33976352,0.33618918,0.32575545,0.3137904,0.31821027,0.34615496,0.3851037,0.39960244,0.37318382,0.31976098,0.27670255,0.25955203,0.2543056,0.2382697,0.20708245,0.17502211,0.15434219,0.14981495,0.15616868,0.16804826,0.17602529,0.179972,0.18385941,0.19619618,0.21277498,0.22747125,0.23809986,0.25550714,0.28486225,0.31983015,0.34193692,0.3421178,0.3211714,0.29168347,0.2640567,0.25221267,0.26252225,0.2930889,0.32317293,0.33348072,0.31724456,0.29115543,0.27293023,0.27132592,0.28276214,0.30508623,0.33443156,0.35946056,0.36425248,0.3464996,0.32114372,0.30585027,0.30350962,0.3134041,0.33808222,0.38161364,0.4248714,0.43882182,0.40619358,0.34802246,0.30178288,0.2934508,0.31654358,0.34247673,0.34348285,0.3074657,0.24487002,0.1759129,0.122187495,0.092701755,0.08612343,0.091375805,0.09861947,0.10313959,0.110268325,0.12449094,0.14442767,0.1584055,0.16073206,0.15204853,0.14011815,0.1251737,0.10945331,0.09854568,0.10494981,0.13399763,0.182395,0.24020787,0.29580593,0.3367374,0.35239205,0.33952788,0.30503082,0.26264915,0.23149343,0.21990822,0.22271843,0.2156346,0.18897526,0.15274535,0.13433258,0.14353205,0.1680456,0.18904524,0.19983129,0.2130072,0.24192874,0.29133806,0.3435699,0.37304386,0.36103693,0.31580955,0.2621065,0.22481894,0.20755494,0.19928473,0.18405616,0.16017513,0.13901027,0.13588423,0.15526775,0.18780188,0.22248507,0.2543392,0.28407463,0.3103359,0.32987586,0.34163454,0.34783474,0.3473983,0.34023818,0.328076,0.317206,0.3076519,0.29592773,0.28909338,0.2996604,0.33295393,0.36474955,0.36973202,0.33923838,0.29359034,0.2510578,0.21891987,0.19137566,0.16539735,0.14056931,0.119613804,0.10443175,0.09662381,0.09603394,0.10184058,0.113175094,0.12932667,0.14720017,0.15991074,0.16188587,0.15702315,0.16157879,0.19085628,0.23995133,0.28143328,0.2842534,0.24332422,0.18190406,0.1360863,0.12832211,0.15822618,0.21014132,0.2604403,0.2978816,0.31516823,0.3233446,0.32251403,0.31849873,0.29792795,0.26195028,0.2108572,0.16803522,0.14868963,0.16126065,0.1892153,0.2136321,0.22038436,0.21218105,0.19661327,0.18600498,0.18605258,0.19579047,0.2008096,0.19261163,0.17822646,0.17902893,0.2025625,0.23241003,0.24040401,0.21675707,0.17583506,0.14652811,0.14687386,0.1781923,0.2225539,0.2568549,0.2627535,0.23752344,0.19526637,0.15395491,0.1258481,0.10868942,0.099735655,0.09712326,0.102748476,0.11126623,0.11648476,0.116082065,0.112995155,0.1091278,0.10435251,0.1060062,0.12760754,0.17498969,0.2319564,0.26603457,0.25620735,0.20615359,0.1433367,0.09211618,0.06745463,0.07282082,0.114776015,0.1913635,0.28394768,0.3500793,0.3549752,0.29374275,0.20325893,0.1310445,0.11175386,0.14076294,0.18689243,0.20583303,0.18039514,0.1210959,0.063500956,0.03295683,0.0422554,0.08285757,0.13549107,0.17072201,0.17039259,0.14089972,0.11443454,0.12081498,0.16163836,0.2062844,0.21894799,0.18946904,0.14016731,0.10360079,0.093834914,0.10023581,0.104066946,0.09790408,0.08693737,0.07740131,0.069237284,0.059830498,0.05159679,0.048827272,0.052200496,0.05471836,0.05172004,0.04708493,0.05436653,0.08274734,0.12613243,0.16268368,0.170523,0.14490645,0.10031643,0.058910176,0.035448566,0.034788787,0.052971836,0.080400966,0.10184821,0.10463178,0.08610181,0.056549814,0.030830955,0.019516582,0.024718484,0.04015859,0.055390347,0.059792843,0.051983144,0.039646585,0.03670112,0.04817577,0.06796345,0.08008006,0.07523299,0.054932773,0.031887826,0.01810009,0.020960702,0.040091842,0.06815601,0.09181108,0.09799829,0.08317707,0.05549122,0.028488437,0.01067714,0.002674659,0.0003498661,0.00029253747,0.0016495734,0.006042035,0.0152831795,0.029476324,0.044235032,0.053162154,0.05102484,0.03933645,0.023970723,0.011992715,0.0060836957,0.005259724,0.006404974,0.007062487,0.00628381,0.004569082,0.0032680572,0.0036222108,0.006033406,0.010122485,0.014419553,0.017440846,0.017618569,0.014980433,0.01044422,0.0059634917,0.0028544345,0.0018151915,0.0027241667,0.004943767,0.0075794496,0.00966131,0.010963525,0.011646119,0.011984556,0.011629117,0.010178949,0.008849516,0.011250712,0.022827813,0.04495293,0.072341144,0.09323975,0.09900252,0.08856943,0.06862088,0.047242705,0.032219127,0.031821996,0.053173084,0.094338395,0.13940588,0.16458124,0.15733744,0.1287612,0.10995128,0.12794365,0.18421622,0.25095594,0.29109785,0.2859608,0.2435341,0.1877601,0.13535248,0.09379214,0.06509697,0.05651318,0.06910769,0.0939703,0.110085286,0.10482845,0.08164345,0.062095467,0.06595545,0.09997747,0.14968985,0.1919471,0.20540027,0.18590832,0.14273943,0.09561283,0.059137236,0.04024087,0.033757683,0.031190576,0.025774611,0.017493427,0.011144578,0.012409535,0.02467682,0.044853065,0.06423091,0.07156333,0.06280514,0.043175634,0.02559097,0.020824797,0.033338442,0.056650598,0.0779682,0.08351941,0.07022985,0.045388445,0.022335814,0.0112455785,0.019869829,0.055263776,0.11626937,0.1875299,0.23835723,0.24860586,0.219144,0.17433393,0.13411939,0.107247345,0.08975661,0.079901256,0.07640889,0.07649496,0.073277384,0.0619498,0.04395902,0.025716303,0.01370462,0.0111848125,0.017478993,0.029112598,0.040033776,0.04490595,0.042248245,0.0378115,0.042122036,0.062094614,0.09451302,0.12402085,0.13552047,0.1222311,0.09206279,0.057626978,0.030112984,0.01345856,0.008821718,0.01729265,0.03970167,0.0713847,0.09984585,0.11096272,0.09959986,0.07341112,0.045992877,0.026366891,0.016776001,0.016444685,0.025418967,0.0419843,0.060274523,0.07148976,0.069952995,0.056516584,0.037728775,0.02055358,0.008992317,0.0030538954,0.0009433552,0.00069533073,0.0012139173,0.0020910401,0.003363834,0.0053036376,0.008396563,0.013853885,0.02395103,0.040911574,0.064097874,0.08762032,0.10239682,0.101768345,0.0873638,0.068998195,0.058996443]