[0.0028005755,0.0027612632,0.0026788556,0.002554354,0.0024056716,0.0022464038,0.0021315394,0.0021263456,0.002540122,0.0047415127,0.011971804,0.028155303,0.05373973,0.08157597,0.09907789,0.0965319,0.07539458,0.046674076,0.022656424,0.008691,0.003849636,0.005192695,0.01199127,0.024433345,0.042801857,0.065959856,0.093323134,0.122749664,0.15009688,0.16766751,0.16942297,0.1544112,0.12861976,0.09947618,0.072486214,0.049143657,0.03119465,0.021249315,0.02386277,0.039438326,0.06354462,0.08621296,0.10073534,0.10584264,0.10614381,0.105188966,0.10397623,0.102514364,0.10159508,0.103047974,0.10564745,0.10664476,0.1020618,0.09166873,0.07711459,0.06134164,0.045499403,0.030685522,0.018431393,0.011071809,0.009783987,0.01435255,0.023307478,0.035243202,0.04801482,0.059054416,0.06512004,0.06496316,0.059870437,0.053816825,0.05078887,0.052604705,0.057981938,0.06254527,0.062583975,0.056830738,0.048744187,0.04167487,0.0370345,0.03220808,0.025453968,0.016901633,0.009309915,0.0043543843,0.002600656,0.0040526944,0.010198872,0.023059584,0.042245846,0.063368835,0.079025894,0.084027074,0.07721355,0.062354267,0.044234168,0.028164195,0.018115653,0.017780488,0.029567605,0.05398185,0.08760113,0.121800125,0.14608993,0.15246765,0.14083783,0.11613149,0.08619071,0.056836486,0.03373309,0.021243969,0.023221979,0.03941332,0.0646835,0.08950142,0.10549142,0.10926765,0.10340536,0.09201482,0.07858958,0.064922,0.05355516,0.04661395,0.045568157,0.04908365,0.05436657,0.058638375,0.060547646,0.060623482,0.058520526,0.05386175,0.045094624,0.033429015,0.020930445,0.011015258,0.0053546224,0.0052062287,0.012125653,0.0272222,0.04942147,0.072603315,0.09009696,0.09748001,0.09661668,0.0910457,0.08327522,0.07306862,0.059654746,0.0441944,0.028995441,0.018335558,0.016079755,0.025682067,0.044566233,0.06556022,0.07853165,0.08050812,0.07472769,0.06860093,0.0644421,0.061328556,0.056971774,0.051917315,0.04683775,0.04127263,0.033648696,0.02472452,0.018192563,0.01934485,0.029451618,0.0450182,0.05780692,0.06265243,0.058083907,0.048267107,0.036394108,0.025692761,0.017376384,0.014395271,0.019703954,0.036893237,0.065587655,0.09902516,0.12356792,0.12672882,0.10634322,0.07288271,0.041528046,0.021385366,0.012281365,0.008883943,0.0069892625,0.00534549,0.004730217,0.006137902,0.011003028,0.020696364,0.035963915,0.05456841,0.07163,0.081634454,0.08197724,0.074279405,0.06242254,0.050600413,0.040923595,0.03398795,0.028669262,0.024079496,0.020307379,0.018239694,0.018327551,0.019356543,0.019974643,0.020591004,0.024801388,0.038001824,0.061444234,0.08959427,0.110863745,0.118586384,0.115872,0.113574035,0.11903346,0.1300099,0.13916737,0.14085056,0.13557829,0.12535307,0.11197806,0.09633889,0.0814603,0.071113795,0.06825497,0.072664976,0.082855396,0.095445134,0.107214816,0.113385886,0.11225709,0.104103535,0.09326684,0.08248497,0.07341259,0.06491967,0.0569067,0.04986869,0.04515871,0.042582203,0.040534053,0.036788385,0.03071937,0.023477199,0.017580522,0.015064859,0.01731375,0.02340657,0.03198549,0.041308794,0.05283043,0.06674769,0.08163229,0.09149888,0.09285098,0.08566425,0.07412111,0.06186201,0.05088498,0.041852426,0.03470994,0.029931948,0.028668629,0.032524597,0.040894188,0.05031808,0.056061286,0.056395102,0.052961588,0.04901719,0.045496438,0.0411126,0.034472153,0.026589386,0.021522949,0.023689812,0.035738517,0.054997,0.07526333,0.08875078,0.092811614,0.08931322,0.0838685,0.07945523,0.07788374,0.07954055,0.085558146,0.0938193,0.09883993,0.09396902,0.07739318,0.053772137,0.030957544,0.014619184,0.006255126,0.0050058574,0.010262944,0.020827722,0.033601258,0.04297158,0.044887573,0.039016537,0.029040776,0.018990977,0.011255066,0.0062463842,0.0034425417,0.0021564078,0.0017295693,0.001928791,0.0028824478,0.004960278,0.008034423,0.011497453,0.014530345,0.0172769,0.02095943,0.027255416,0.036909524,0.049170997,0.061943103,0.07205594,0.07579263,0.07065544,0.057674367,0.042061675,0.030135706,0.02526632,0.025910646,0.027727878,0.02694303,0.022517228,0.01593949,0.009522555,0.0049567893,0.0027469937,0.0028634195,0.0059077167,0.012722296,0.02395638,0.037003372,0.04748622,0.050034117,0.044694144,0.035989534,0.031627364,0.03432518,0.04108381,0.04490185,0.04214567,0.034618836,0.027715348,0.025101079,0.026035346,0.027119026,0.025512239,0.021972744,0.019375576,0.021327285,0.028399222,0.038878057,0.04799767,0.05296139,0.052998807,0.05255994,0.054934055,0.06213228,0.07052796,0.077813834,0.08312321,0.089705,0.0987313,0.10777994,0.11155016,0.10578519,0.09077981,0.069401965,0.046815887,0.026977926,0.01318304,0.0056473822,0.0030798644,0.003268607,0.0053547216,0.009595365,0.01644242,0.025335824,0.034341644,0.041791573,0.04688393,0.051033795,0.054905545,0.05809771,0.05766277,0.052735016,0.045542497,0.0408,0.040156882,0.04041888,0.036800515,0.02794261,0.017207602,0.009037715,0.0054449164,0.0053802407,0.006561249,0.008000243,0.011090957,0.019683966,0.03624916,0.059025038,0.08044205,0.09273589,0.092264175,0.0822391,0.06906643,0.059262205,0.056928292,0.0625313,0.07308203,0.082825065,0.08697132,0.0829389,0.07206274,0.05762359,0.04425144,0.03468043,0.02972193,0.028156683,0.029989503,0.035527702,0.04452623,0.053634614,0.058787536,0.0574075,0.05045208,0.040651556,0.030891934,0.02268912,0.016687958,0.012971572,0.011914552,0.014664799,0.023330098,0.040609565,0.06638146,0.09567151,0.11848179,0.12674783,0.11908255,0.10128909,0.080231726,0.05992411,0.04218872,0.029077986,0.024538308,0.031556964,0.052280974,0.08362352,0.12081083,0.15416718,0.17827804,0.18981759,0.19359533,0.19372915,0.19310771,0.18881756,0.17798626,0.16239361,0.14951783,0.14587586,0.1489634,0.14790043,0.13319139,0.10560528,0.075624995,0.05452836,0.046242356,0.0469534,0.049270395,0.04882741,0.04535775,0.041188013,0.03718151,0.031986564,0.024539234,0.015635047,0.007996635,0.0031589603,0.0011331917,0.0010501929,0.0031943202,0.009099137,0.019160204,0.030813718,0.038391057,0.037758853,0.0292222,0.01780015,0.008653377,0.0041845613,0.0038753543,0.0061899633,0.009887583,0.013450381,0.01580821,0.016555388,0.017417656,0.019760536,0.023494221,0.025586745,0.023987,0.019635292,0.01739374,0.021829402,0.033666287,0.048192095,0.057877455,0.057296526,0.046476573,0.030726733,0.016364498,0.007527186,0.005355483,0.01000714,0.020803308,0.035608277,0.050429154,0.06168039,0.068109326,0.069922514,0.06708709,0.058596622,0.04575987,0.03287096,0.026316548,0.028650038,0.03724357,0.044678483,0.0455046,0.038531087,0.02845017,0.020952014,0.020695867,0.027177379,0.036468238,0.041971147,0.040545616,0.032880105,0.024149409,0.01854173,0.017822558,0.020276258,0.023016712,0.02445171,0.024493635,0.024838356,0.025894104,0.027546309,0.02869098,0.029874615,0.032441527,0.03746709,0.043749142,0.048092883,0.0487043,0.047677293,0.050848972,0.061468195,0.07628297,0.0862059,0.08435849,0.071018286,0.052773077,0.036732543,0.026141146,0.020557681,0.017419675,0.01456063,0.010944765,0.00704029,0.0041393265,0.0035752458,0.0065910523,0.013374024,0.022339934,0.029781103,0.03207345,0.02820535,0.020425,0.012376242,0.006453536,0.0031898932,0.0017843716,0.00144462,0.0016757118,0.0027055817,0.0059873727,0.014784917,0.032858882,0.060133774,0.089384474,0.10801434,0.10678782,0.086733945,0.05859382,0.03457065,0.020718586,0.015755543,0.014498767,0.012915071,0.009676765,0.005961751,0.0031163916,0.0017101578,0.0013106987,0.0013223622,0.0014576967,0.0019788719,0.0036601156,0.0073360833,0.013127205,0.019877652,0.025587438,0.028563805,0.02820967,0.025124855,0.020500312,0.015913902,0.012803991,0.0124148205,0.015144666,0.020529358,0.026862517,0.032179024,0.035159007,0.03619468,0.036498066,0.036653966,0.036051005,0.033638135,0.030213548,0.02766282,0.028388798,0.03216705,0.037846357,0.043588597,0.049206555,0.054093197,0.05755463,0.058637917,0.05838689,0.058125477,0.058654252,0.058818188,0.058783617,0.059640337,0.061952967,0.06292014,0.058536693,0.048223514,0.036424745,0.030671066,0.03768717,0.060165275,0.094701685,0.12989606,0.15232293,0.15335226,0.13636011,0.11181441,0.09137615,0.08225301,0.0881945,0.10835109,0.13480866,0.15376969,0.15292399,0.13183568,0.10103947,0.07452493,0.05846416,0.05137076,0.047604386,0.04311144,0.036128014,0.02695197,0.017433442,0.0095138075,0.0048030703,0.0037488304,0.0069024074,0.013962806,0.023256136,0.031028396,0.034470152,0.03392988,0.03290297,0.033634905,0.034726854,0.032481674,0.02553936,0.016143475,0.008162242,0.0039363606,0.0044620745,0.010685239,0.023442604,0.04098766,0.058254544,0.068919055,0.070285104,0.06414517,0.05729517,0.057429016,0.071223974,0.09668988,0.122493826,0.13215831,0.11840636,0.08856257,0.059388816,0.043416042,0.042772222,0.051497143,0.06189887,0.06877959,0.07060861,0.06904983,0.06564711,0.060935587,0.05416486,0.047207385,0.04392336,0.04930319,0.065646715,0.09153235,0.12095591,0.14494844,0.15515842,0.14889298,0.13133855,0.11213205,0.099342175,0.09373006,0.090521656,0.08255832,0.06813204,0.051044222,0.03947543,0.03760272,0.043064322,0.047846716,0.045405883,0.03512517,0.022178382,0.013307425,0.013276723,0.023084754,0.04066598,0.061210304,0.07995785,0.093276,0.10028595,0.10158669,0.099155806,0.09481581,0.089082636,0.080398224,0.06766193,0.052997995,0.04099935,0.03440801,0.031210728,0.027920997,0.023645373,0.021607637,0.024189828,0.0305873,0.036241993,0.038263556,0.03644799,0.03437138,0.034450594,0.037312344,0.040050358,0.040137004,0.036508445,0.031384096,0.027913103,0.02826511,0.031784248,0.035176978,0.03495428,0.029512687,0.020714033,0.011827823,0.006187612,0.006611528,0.017726982,0.044235807,0.086289726,0.1325913,0.16505428,0.16815634,0.14235078,0.10050749,0.061120104,0.03482973,0.02486103,0.02740479,0.038682666,0.054646354,0.07176235,0.08398803,0.085458934,0.07360759,0.05303943,0.032168392,0.017994152,0.012023027,0.012415539,0.017883234,0.028860828,0.045319427,0.06391997,0.079568304,0.088748395,0.0933072,0.098248996,0.1092698,0.12697686,0.14832886,0.16511317,0.1708635,0.16169958,0.14182915,0.11855141,0.099339366,0.086412184,0.07814855,0.07184341,0.06676298,0.06487597,0.068354994,0.076635085,0.08508331,0.0885889,0.08573348,0.08003389,0.076102935,0.07574158,0.07667912,0.0748849,0.06781948,0.056759287,0.04637131,0.041325882,0.04314451,0.04976804,0.0583086,0.06631441,0.07143233,0.07056337,0.062699,0.05119297,0.043081027,0.04302715,0.04901068,0.053407285,0.049671736,0.037690043,0.023262024,0.013130761,0.010474234,0.013672392,0.018511789,0.020564577,0.01864726,0.0151953725,0.01612956,0.02622036,0.045551892,0.066856995,0.07954538,0.07693852,0.06226812,0.047322016,0.04375739,0.056220513,0.079851955,0.10738588,0.1315429,0.14891964,0.15492214,0.1474008,0.12569661,0.094894506,0.06256644,0.037550632,0.02730967,0.03551811,0.059673786,0.08903819,0.10991546,0.11301542,0.100064375,0.07957281,0.059992936,0.04368371,0.030073037,0.01836013,0.01017318,0.0072231926,0.011203618,0.021546206,0.03572333,0.048597485,0.05688961,0.061101735,0.065323435,0.07139353,0.07662658,0.07662773,0.07072543,0.06255551,0.05542158,0.048881125,0.040209875,0.028774172,0.01692787,0.008063526,0.004014081,0.0054298765,0.012595908,0.02426914,0.036844093,0.044843525,0.046318654,0.044283867,0.04474498,0.049754318,0.055497456,0.055861626,0.048107803,0.035134953,0.022313347,0.014236536,0.012390487,0.015973544,0.022424169,0.0286047,0.031401508,0.02914358,0.022502005,0.014149473,0.007133499,0.0033119705,0.0033332186,0.00734069,0.014434674,0.022412976,0.02796567,0.029763052,0.028683977,0.027028076,0.025369955,0.02330482,0.02050097,0.018081702,0.01715788,0.017675186,0.018219983,0.017096402,0.014249746,0.011613744,0.01304242,0.021414446,0.037567984,0.05900229,0.08153502,0.09971797,0.10937977,0.10908804,0.10166961,0.090803444,0.07846427,0.06368209,0.047552925,0.034805857,0.033753574,0.04913723,0.07980571,0.114898205,0.14133942,0.14802283,0.13628463,0.11441205,0.09412247,0.07996348,0.07239341,0.06862404,0.06719967,0.06696603,0.067750655,0.069593735,0.07179397,0.072823375,0.07154906,0.0691315,0.06750221,0.06690725,0.06463924,0.057861645,0.0465782,0.03424337,0.025549715,0.023980962,0.031065533,0.04560126,0.06439347,0.08232408,0.0957919,0.1027242,0.1043727,0.10161525,0.0964047,0.08886192,0.08034825,0.07057708,0.060711235,0.050801203,0.042759616,0.036708426,0.03256441,0.028002976,0.022643311,0.017428415,0.015448411,0.018900873,0.030440144,0.051017206,0.07969079,0.1085515,0.12898332,0.1344286,0.12813501,0.11486596,0.09854814,0.07837604,0.055326506,0.033109378,0.016364885,0.007301316,0.00541201,0.010345896,0.022028709,0.03975193,0.06013092,0.078850955,0.09288018,0.10178259,0.10627878,0.10593253,0.0998866,0.08755752,0.07088186,0.05253108,0.035930727,0.023434898,0.017177077,0.018116783,0.025941988,0.038703296,0.054048996,0.070205934,0.085939504,0.09895891,0.10704703,0.10876354,0.105835766,0.10068362,0.09665879,0.09595003,0.099140525,0.10392211,0.10630601,0.10481005,0.10072311,0.09711152,0.09515845,0.09435317,0.09363717,0.0921824,0.09107375,0.09120712,0.09296911,0.09322106,0.08894563,0.07906687,0.06677847,0.055884477,0.048740625,0.044924762,0.043131266,0.041381795,0.03828211,0.032876994,0.02656573,0.021078197,0.017798662,0.015417241,0.012627517,0.008763305,0.0054728216,0.0053877197,0.012293971,0.029224113,0.055342864,0.0840706,0.10544778,0.11295104,0.10669637,0.09233093,0.07575598,0.060933027,0.048926506,0.03940831,0.030813329,0.0234435,0.019706072,0.024910802,0.041290298,0.06669422,0.09400896,0.117301784,0.13429756,0.14394866,0.1456853,0.13657215,0.1191057,0.09742907,0.080523215,0.072749116,0.07576,0.08612079,0.10148988,0.121819735,0.14723064,0.17369191,0.1916457,0.19346885,0.17981698,0.16125266,0.14926255,0.14662404,0.1454814,0.13568188,0.11766496,0.10220041,0.10233424,0.118796766,0.14173053,0.15775274,0.16164641,0.15662928,0.14840223,0.14008701,0.13007987,0.117708765,0.10335845,0.0900568,0.07861681,0.06877638,0.059227362,0.05191356,0.05045964,0.058055203,0.07154436,0.08379727,0.08746152,0.08263253,0.07399126,0.06814001,0.06771559,0.07447818,0.08806465,0.10835245,0.1321886,0.15756784,0.1802364,0.19612426,0.19785595,0.18304248,0.15440343,0.12121255,0.09089434,0.06788003,0.05420662,0.051797554,0.060501684,0.07423154,0.083171725,0.07922578,0.0626212,0.040360298,0.021011712,0.009039013,0.0043806685,0.005049867,0.009246393,0.016036095,0.024364894,0.03307062,0.040683266,0.046710536,0.051634613,0.05671057,0.06099863,0.061699633,0.05537024,0.04312567,0.030092401,0.023172915,0.02477987,0.031803597,0.038256764,0.04200052,0.047413602,0.061929654,0.08645416,0.11320162,0.12995173,0.1326073,0.124859445,0.114792936,0.10537472,0.097400226,0.090973,0.087277494,0.085189454,0.08164977,0.07520217,0.067835055,0.06288663,0.06136461,0.06131475,0.060270514,0.056341235,0.048982263,0.038392115,0.026552796,0.01603037,0.008755237,0.0046918937,0.0027103145,0.0017188938,0.0012173926,0.0010449648,0.0010596022,0.0016961585,0.0049310788,0.01540171,0.03782921,0.07246228,0.10985754,0.13509138,0.1363813,0.114798404,0.08147064,0.049739625,0.02659192,0.012663376,0.005386545,0.0021443085,0.0010915917,0.0009987879,0.0012587281,0.0017468972,0.0026562456,0.004495695,0.007853658,0.014177393,0.025481211,0.043895844,0.067752145,0.090775795,0.103111535,0.09902779,0.07976048,0.053945605,0.030288443,0.014654574,0.008165186,0.010625453,0.0202595,0.03453165,0.048773494,0.05920437,0.06284197,0.05939883,0.049164385,0.035038207,0.020580377,0.009805699,0.004388624,0.0058363886,0.017017445,0.041432355,0.0768599,0.11142802,0.1284201,0.11866945,0.088260315,0.054346323,0.03269432,0.028675124,0.03658372,0.045725893,0.047338147,0.03939212,0.025992721,0.013445898,0.005370978,0.0018104917,0.00080031366,0.001076345,0.0028912786,0.007843211,0.016707348,0.027861774,0.036742594,0.039350476,0.035533022,0.029824741,0.027881576,0.03202756,0.040993385,0.051118676,0.060622323,0.068314396,0.075288795,0.08108907,0.08629378,0.08863079,0.08691103,0.07883639,0.066158235,0.05142169,0.03853379,0.0284341,0.02069491,0.0143457195,0.010223358,0.010775478,0.018334588,0.032206863,0.04747401,0.05812635,0.06307402,0.0680353,0.07931622,0.095906556,0.10880829,0.11007508,0.09942013,0.083634496,0.068960875,0.058118794,0.05070554,0.046569545,0.045576233,0.047345176,0.05024812,0.052130535,0.051139984,0.046372283,0.038426775,0.028592078,0.018890044,0.010841366,0.005513837,0.0028002153,0.002545662,0.004887271,0.010302248,0.017717322,0.024179017,0.026019486,0.022225643,0.014889027,0.008104405,0.0046371263,0.00596425,0.011901718,0.022349551,0.034996208,0.046532232,0.052236825,0.051023956,0.0453323,0.039911013,0.03662098,0.03327739,0.027308563,0.018856859,0.012301173,0.011967395,0.019848099,0.03250076,0.04338153,0.04610234,0.040127207,0.030028502,0.02184934,0.017381487,0.014896101,0.011897254,0.008224682,0.00605103,0.00867924,0.019453486,0.038178388,0.0598129,0.07470403,0.075995296,0.0634735,0.044570435,0.028085165,0.020475686,0.023252735,0.03438225,0.049069453,0.0627306,0.07199771,0.07612213,0.075296335,0.07040606,0.062023044,0.050921302,0.0382954,0.025852812,0.015587102,0.008619605,0.0055793733,0.00797307,0.020155227,0.047151845,0.087936044,0.13064687,0.15690613,0.15561454,0.13129905,0.10024691,0.07629763,0.06396698,0.060337633,0.062326014,0.06730911,0.072205156,0.07313504,0.07001645,0.06726217,0.07116124,0.08280418,0.09737986,0.10721054,0.10970291,0.10848374,0.10958713,0.11451801,0.11886104,0.11739975,0.10891351,0.097414516,0.08685555,0.078468196,0.07005126,0.061270203,0.053864885,0.05109678,0.05298384,0.057707477,0.062587984,0.065515645,0.0640251,0.05634527,0.043817576,0.031187227,0.023336334,0.021906601,0.024102697,0.02638232,0.027167624,0.0292894,0.036216587,0.04907116,0.06386102,0.0755038,0.081028186,0.081556015,0.078707434,0.07279185,0.062498074,0.0479974,0.03174878,0.017819365,0.009451913,0.007895149,0.011955577,0.018464865,0.023315236,0.023833787,0.020767817,0.018108157,0.020069564,0.027429149,0.037269037,0.04539457,0.050504725,0.053695764,0.056167524,0.056023132,0.05040133,0.038774338,0.024571374,0.012524382,0.005148502,0.0021746766,0.0026165538,0.0071391393,0.0183079,0.0384354,0.06730567,0.100880526,0.13165225,0.1517676,0.15505676,0.14141718,0.11455562,0.08243874,0.051910445,0.02950999,0.018460639,0.019873777,0.031219522,0.04778142,0.06338858,0.07286463,0.073484056,0.06629998,0.05527987,0.045278475,0.039664093,0.039057475,0.041637704,0.04385526,0.04243204,0.037206482,0.032854784,0.036322128,0.050854236,0.07190672,0.09052708,0.09999547,0.101530105,0.100079246,0.099687666,0.09786143,0.09058548,0.07575468,0.05903602,0.049828723,0.05593559,0.07563376,0.09880536,0.11386401,0.11604431,0.10833022,0.09732453,0.088132,0.082618415,0.07882874,0.07384802,0.06668744,0.059734773,0.05566366,0.053454187,0.049923044,0.042272586,0.03225245,0.02309508,0.018392919,0.018188661,0.020416906,0.021455282,0.019642325,0.015518606,0.011343632,0.0086027635,0.008092527,0.010885432,0.019387327,0.034762654,0.05359946,0.06770419,0.06984263,0.060257986,0.04669015,0.0376578,0.03541392,0.03583387,0.033611335,0.02691552,0.018452823,0.012740336,0.014073593,0.023474941,0.03861642,0.054197073,0.06596876,0.072094984,0.07306553,0.069565676,0.063799016,0.06036575,0.06548309,0.079415075,0.09521238,0.10136781,0.09470711,0.08160931,0.072986536,0.0725987,0.07504058,0.07320942,0.06419585,0.052563015,0.04399629,0.042244498,0.04613098,0.05261606,0.06042674,0.07021462,0.08191621,0.0918332,0.09583948,0.09347698,0.08895391,0.08672333,0.08907035,0.09668058,0.11130488,0.13281836,0.15549643,0.16807507,0.16111062,0.13502143,0.099972606,0.06945695,0.05183029,0.049069315,0.057930905,0.07400411,0.09075985,0.102233075,0.10303933,0.09366551,0.07845931,0.064528316,0.05569747,0.052037958,0.05112486,0.050650846,0.04973584,0.04718001,0.042418554,0.035187613,0.027739756,0.02312559,0.024350017,0.03198472,0.044366762,0.05857724,0.07165373,0.08117341,0.0850538,0.08286753,0.07609796,0.067840286,0.060321655,0.054798275,0.05223626,0.054019645,0.060775686,0.069986105,0.077990934,0.08101878,0.0796155,0.07553742,0.07269449,0.07363328,0.0812624,0.094658025,0.10842812,0.11396412,0.10655107,0.09001371,0.074066274,0.06801463,0.07420215,0.088888876,0.10467583,0.11676601,0.12349347,0.12600288,0.12470826,0.1205753,0.11634936,0.115491115,0.119140945,0.12474048,0.1324725,0.14428055,0.1621178,0.1787885,0.18703885,0.184999,0.18067263,0.1802458,0.18179582,0.18037893,0.1747719,0.17189038,0.17489661,0.18169433,0.18412751,0.18346727,0.18883133,0.21281397,0.2504026,0.28205875,0.28327373,0.2516159,0.20599608,0.17649655,0.17725717,0.20086028,0.22236265,0.22121511,0.19337316,0.1557103,0.13136296,0.13514985,0.16287184,0.19585927,0.21419148,0.20932822,0.18906139,0.16791482,0.15738855,0.15883811,0.16474907,0.16521472,0.15199019,0.1277882,0.10025724,0.0790943,0.064124815,0.051212907,0.03631671,0.021327415,0.01023931,0.006418036,0.012060705,0.028348247,0.052625056,0.07773397,0.095026195,0.101724625,0.100416206,0.095459245,0.08749979,0.077017836,0.06718274,0.064091206,0.0702419,0.081143856,0.08856549,0.088278145,0.08390195,0.08158502,0.082188986,0.07973817,0.06816158,0.04882988,0.0299044,0.020677973,0.024621358,0.037940685,0.05201341,0.05965105,0.060333323,0.0592334,0.061158717,0.06519992,0.0674758,0.06651292,0.06480402,0.064156614,0.063151814,0.059233457,0.05265057,0.045462545,0.038890872,0.03210649,0.024832437,0.01851777,0.015545036,0.01682035,0.021074643,0.025592858,0.027841052,0.027286699,0.025114583,0.023396166,0.022408701,0.021305174,0.018796487,0.015719296,0.014187542,0.016069919,0.020789407,0.02584526,0.029077679,0.030295648,0.030332953,0.02939657,0.026505888,0.022691218,0.021786906,0.03006799,0.04821868,0.06965474,0.08101416,0.0751932,0.05483718,0.032315012,0.017217226,0.012501564,0.013731971,0.015705174,0.01507376,0.011843809,0.0075857206,0.0041439575,0.00232894,0.0023768817,0.0047249305,0.010232781,0.019246167,0.030171508,0.03968114,0.04450244,0.043825567,0.03979819,0.035290312,0.03157411,0.027597427,0.022278748,0.016143829,0.011661994,0.011270169,0.015958732,0.024367249,0.034309603,0.044566646,0.056750137,0.072519094,0.09006157,0.10229477,0.10191209,0.087289624,0.06395516,0.040392194,0.022337323,0.01144285,0.006425218,0.005803323,0.00861245,0.013530604,0.01842764,0.02036907,0.018817836,0.015848314,0.01607343,0.021870574,0.032215625,0.04243202,0.048764724,0.05042318,0.049827874,0.049235746,0.049010675,0.04801787,0.045915496,0.043829966,0.04273959,0.04178984,0.038429525,0.031414077,0.021996202,0.013450201,0.007887081,0.005525688,0.0050052893,0.005138218,0.005217684,0.0050561116,0.0046681664,0.0047103683,0.0064359843,0.011460173,0.01962548,0.028499894,0.033631723,0.03262986,0.026724203,0.020805025,0.019118138,0.022218259,0.026668442,0.027857205,0.024322437,0.018066743,0.013281015,0.012103249,0.014113107,0.016532876,0.01742916,0.016718796,0.016764091,0.01975566,0.026572093,0.03575964,0.04522675,0.052491054,0.055260774,0.051943243,0.042881727,0.031125732,0.020621436,0.014343708,0.012667078,0.014093743,0.016744116,0.01983391,0.024558796,0.032026622,0.041738663,0.050347585,0.055560548,0.057705287,0.060076993,0.0647467,0.0714614,0.077801175,0.081009716,0.07893283,0.071202695,0.05996516,0.049253207,0.042207364,0.03928304,0.037977714,0.03551106,0.03078001,0.025332903,0.022429889,0.025539538,0.035987798,0.05107613,0.0647591,0.07199555,0.07200272,0.06743466,0.060518917,0.05247146,0.04556324,0.043539535,0.04820506,0.05694534,0.06450359,0.06728686,0.064772874,0.05920821,0.053210616,0.048911754,0.047250573,0.049355436,0.05821444,0.074599944,0.09399151,0.10464398,0.09889233,0.078036614,0.053738136,0.035855602,0.028779322,0.029093891,0.031907197,0.032170463,0.030352289,0.031780314,0.04532231,0.07263902,0.10545975,0.12725316,0.1278957,0.10796758,0.07939489,0.052595984,0.033656463,0.021588514,0.014890551,0.01164031,0.011037498,0.011521629,0.011527362,0.010187924,0.007745914,0.0053481082,0.00391613,0.00407886,0.0061656334,0.010320519,0.01639667,0.023360884,0.029482221,0.03259763,0.031795025,0.028714346,0.026974553,0.029498162,0.035080925,0.039432354,0.03834426,0.032076538,0.024155708,0.019002764,0.01934701,0.02701321,0.042821866,0.06409667,0.08395859,0.093979396,0.09161326,0.08172148,0.07291144,0.0700816,0.07158444,0.07224244,0.06703858,0.056558926,0.046830446,0.04870909,0.06790931,0.10038367,0.13113472,0.14768782,0.14712012,0.1386324,0.13053906,0.12581675,0.11933478,0.107640654,0.09003525,0.07080398,0.05440918,0.046023216,0.049278814,0.06443635,0.08519217,0.1011286,0.10420636,0.09546108,0.083349235,0.077383615,0.08073483,0.08935517,0.09569133,0.093556225,0.08212629,0.06460334,0.046607077,0.031547416,0.020953426,0.014616652,0.012949192,0.016408117,0.023584908,0.030868405,0.03321656,0.028962037,0.019900387,0.011047438,0.005697005,0.0050772545,0.00796854,0.013194132,0.019598788,0.025945619,0.030249672,0.030558063,0.02674921,0.020890532,0.015940793,0.01315083,0.011925365,0.011240385,0.011323861,0.012819726,0.015767874,0.018913195,0.021466108,0.023116788,0.02414947,0.0239931,0.022324586,0.019655628,0.017814774,0.018134013,0.020606013,0.02367153,0.026076786,0.026966617,0.026813693,0.026823739,0.029776901,0.03737436,0.047940385,0.05580159,0.05592954,0.049353633,0.04281001,0.043721553,0.053554427,0.067824416,0.07972342,0.08562428,0.08641032,0.085003324,0.082997106,0.080029644,0.0765309,0.07519045,0.07813869,0.08285627,0.08241991,0.07173287,0.0531432,0.035052057,0.025146252,0.024303341,0.027551452,0.02868636,0.025283875,0.019337377,0.015155658,0.016060023,0.021996848,0.029551884,0.03380931,0.031864755,0.024825117,0.017704006,0.016877325,0.027154058,0.048545133,0.07550266,0.09848634,0.11037614,0.10943967,0.099588186,0.08467697,0.067189485,0.04868063,0.032175075,0.021397794,0.019037185,0.025627092,0.03863836,0.052310497,0.059984524,0.058791593,0.0535284,0.053098008,0.06326444,0.08054211,0.09545796,0.099823385,0.09274288,0.07875422,0.06366131,0.05124949,0.044697583,0.046175104,0.055774603,0.06947517,0.08156401,0.08818259,0.08849274,0.08385956,0.07522821,0.064202555,0.051942613,0.040374126,0.031603187,0.029607175,0.039086837,0.06070891,0.08808049,0.10815858,0.11211797,0.10085881,0.086193115,0.07828622,0.078663796,0.07923015,0.07263069,0.05919828,0.04666789,0.0432357,0.051312167,0.06754019,0.08502702,0.09812399,0.1027917,0.09906044,0.08843201,0.07474802,0.060365554,0.0472676,0.03577857,0.027214617,0.023493305,0.026712852,0.036555376,0.04898998,0.057570066,0.05730481,0.0482143,0.03544616,0.024993973,0.02001661,0.019648662,0.022326274,0.026819536,0.032013107,0.03505039,0.033108283,0.026189433,0.017868109,0.012890156,0.013096112,0.017534688,0.023930104,0.03204809,0.041542426,0.051077347,0.05650362,0.05536924,0.047979224,0.038463015,0.030931717,0.027945632,0.029527849,0.035126965,0.04641652,0.06804763,0.103084356,0.1476122,0.18812145,0.21079119,0.20883842,0.18907833,0.16260378,0.13821281,0.11651889,0.096972995,0.08248522,0.07838647,0.0848727,0.09384892,0.09570671,0.08736446,0.07379166,0.061188627,0.05203541,0.045354847,0.04056662,0.038322553,0.03971632,0.044648197,0.05312549,0.063299336,0.07278877,0.07710206,0.0761363,0.07126426,0.06659424,0.062003423,0.05799259,0.054231167,0.05275102,0.053752113,0.057573978,0.06312577,0.06935819,0.07347838,0.07399162,0.07092836,0.06690053,0.06348829,0.06104651,0.058182072,0.05473839,0.05071789,0.046545815,0.041115444,0.03549769,0.034200285,0.04534468,0.07296986,0.11046175,0.14128934,0.14994904,0.13473877,0.10761381,0.08477675,0.07460809,0.07646353,0.083643265,0.08836933,0.08586985,0.077990286,0.07383443,0.08256958,0.10636926,0.1372011,0.16340522,0.17681569,0.17659216,0.16745232,0.15549548,0.14734697,0.14695674,0.15371937,0.1592675,0.15296048,0.13088636,0.10028874,0.07466558,0.06341833,0.06853593,0.0853979,0.10572947,0.118822046,0.11639578,0.09827558,0.073202066,0.05224109,0.040640716,0.03801471,0.043423537,0.061746906,0.09713656,0.14586364,0.18974848,0.20906915,0.19406348,0.15434872,0.10841125,0.07349304,0.057116862,0.059492767,0.07717496,0.103256084,0.12879895,0.14364922,0.1452254,0.13841288,0.13296454,0.13282536,0.1336147,0.1268824,0.107433595,0.079336844,0.053387806,0.04396944,0.060626715,0.10241341,0.15526395,0.19743876,0.21251255,0.19786458,0.16661637,0.13723992,0.12413775,0.12958296,0.14462443,0.15443437,0.14854859,0.12715746,0.10006756,0.07796917,0.06516946,0.05892387,0.054107968,0.047641236,0.03933184,0.030882778,0.024208061,0.020901985,0.02270141,0.031688258,0.04947263,0.073958755,0.09912322,0.11651924,0.12115077,0.11430808,0.10407124,0.099890865,0.10499326,0.11444813,0.11882778,0.11478197,0.10470777,0.09459659,0.08603707,0.07920703,0.07367422,0.071485974,0.07405449,0.08204397,0.09501498,0.113623284,0.1372569,0.16122039,0.17499055,0.16955657,0.14479947,0.11104256,0.08064798,0.06132722,0.0563592,0.06785401,0.09444108,0.12757622,0.15293603,0.16172034,0.15475005,0.14064884,0.12504075,0.11136147,0.101774074,0.10003925,0.105053104,0.109922975,0.10592466,0.09230596,0.07863235,0.07955388,0.1034297,0.14675878,0.19502616,0.23154318,0.24397288,0.22936083,0.1929041,0.1467583,0.10419342,0.075123295,0.06198353,0.062437307,0.07228344,0.08785551,0.10303357,0.110767834,0.10510218,0.088036604,0.066667564,0.05084765,0.04496642,0.049273685,0.058360744,0.06656874,0.06812483,0.062395696,0.05265891,0.044775974,0.042245284,0.04408479,0.047613617,0.049378783,0.04855771,0.04384627,0.036113795,0.026224779,0.01718606,0.011083402,0.008886308,0.0091741895,0.009636206,0.008708059,0.0065163947,0.0046112374,0.0044509578,0.0061815954,0.008564177,0.009680584,0.008747716,0.006635884,0.0070385286,0.01521796,0.03659587,0.07078787,0.11018721,0.1405185,0.15122391,0.14052244,0.11836455,0.09820307,0.089366175,0.09223384,0.10033164,0.10732988,0.10900589,0.10438991,0.09281137,0.07583589,0.056708854,0.040780645,0.033883672,0.041179027,0.063619904,0.09501856,0.12279588,0.13588087,0.13136944,0.11696819,0.102956526,0.09600847,0.09375056,0.090041526,0.078670435,0.059915394,0.038172048,0.019980233,0.008401364,0.0031666805,0.0016241461,0.0016831635,0.0023739622,0.0034155597,0.0046167574,0.0057080328,0.0068068155,0.007944153,0.009010229,0.010430612,0.014315183,0.02435714,0.040529538,0.05749919,0.06534053,0.060607124,0.04790618,0.037528004,0.033651482,0.0331653,0.029969702,0.022225887,0.013147075,0.00786613,0.010937936,0.026178002,0.053871263,0.08978779,0.122214384,0.1398672,0.13526316,0.11297277,0.08412001,0.06304836,0.05735744,0.06583684,0.08023555,0.09118768,0.095512055,0.09451458,0.09178295,0.08601687,0.075210355,0.060258012,0.050029073,0.0540949,0.07602532,0.10728815,0.134881,0.1477709,0.1456454,0.13508004,0.12542114,0.12096199,0.11966291,0.11591956,0.10487696,0.086235225,0.063553624,0.04351562,0.033187926,0.036980625,0.053204644,0.07413095,0.09103536,0.0991987,0.09982728,0.09658188,0.094399065,0.09536033,0.09904174,0.10035842,0.09699642,0.09045275,0.08607969,0.085090525,0.08475217,0.08169385,0.07555665,0.067552276,0.057330098,0.0447989,0.03294069,0.029610002,0.04305394,0.07426879,0.113011844,0.14141922,0.14614111,0.12693463,0.096016996,0.06984283,0.05844651,0.063478656,0.077110566,0.091360025,0.100884266,0.10775101,0.1136545,0.1175398,0.11503629,0.105344355,0.09237229,0.08087508,0.07178489,0.06304487,0.05409086,0.04817908,0.05080934,0.065777935,0.09206357,0.12178483,0.14269574,0.14438576,0.12700237,0.102912076,0.08753741,0.08744568,0.09440359,0.09574601,0.08501596,0.06968082,0.0635122,0.07495235,0.098891236,0.11918334,0.12330759,0.10969043,0.087995954,0.06707763,0.051041912,0.04026192,0.036245186,0.04262401,0.059111398,0.08052764,0.096149355,0.09953863,0.08962894,0.074080825,0.06351171,0.070296995,0.09625401,0.13204646,0.15764417,0.16429572,0.15294848,0.1342676,0.11048236,0.086199485,0.068540916,0.07072222,0.09279696,0.12109702,0.13344252,0.12129866,0.09084988,0.0610158,0.049433917,0.07074806,0.12828594,0.20778139,0.27865133,0.3079386,0.28473678,0.22114955,0.14655977,0.08441768,0.050716937,0.04745729,0.06951145,0.10120526,0.12531641,0.12916118,0.11488543,0.09479314,0.082324594,0.080293,0.08299083,0.08401606,0.083342515,0.08456671,0.08828702,0.0906791,0.087495536,0.07982183,0.07265154,0.0710436,0.0747911,0.08046886,0.08467227,0.08893595,0.09638268,0.10733304,0.11579891,0.11490548,0.103967845,0.089883395,0.0818067,0.08252832,0.08838809,0.0926167,0.09248907,0.08974782,0.08840183,0.09088724,0.096077256,0.10125559,0.10289324,0.099577874,0.09058472,0.07749138,0.06282722,0.05083454,0.044514,0.044275016,0.04693612,0.049369037,0.051614325,0.059673965,0.07884318,0.1082819,0.13514642,0.14499243,0.12997581,0.09727704,0.06221045,0.04104356,0.043023076,0.06510619,0.09363109,0.1089557,0.10231703,0.079952754,0.062190354,0.06345645,0.08495781,0.11331603,0.13616519,0.14907654,0.15649508,0.16288482,0.16785516,0.16779085,0.15904109,0.14315619,0.12348198,0.10567557,0.09167669,0.08372576,0.0832979,0.09456575,0.11853957,0.1496891,0.17472468,0.18032591,0.16301721,0.13180934,0.102254145,0.084758975,0.08038312,0.08262421,0.08515805,0.08515302,0.083701134,0.0827418,0.08275952,0.08281859,0.081416935,0.079024285,0.07654625,0.07507855,0.073733516,0.0722344,0.07124422,0.072231896,0.07517829,0.07682406,0.07382903,0.065103285,0.056418862,0.055815622,0.068588376,0.08982784,0.108230345,0.11346349,0.10391434,0.08552005,0.067846,0.06083681,0.07104968,0.09711351,0.12515308,0.13740484,0.1244584,0.097051,0.07879013,0.0897339,0.1292753,0.17443733,0.19726616,0.18514319,0.15129033,0.120381504,0.10862362,0.112345815,0.115771174,0.10737348,0.08715302,0.06689159,0.059948087,0.0759131,0.11131159,0.15051468,0.17126489,0.16096784,0.1241315,0.07923762,0.04459858,0.029877387,0.034392577,0.051474124,0.07190008,0.08771037,0.09517004,0.095949136,0.09603977,0.10063177,0.11041156,0.1190468,0.11944305,0.1094862,0.095590256,0.086625256,0.08729208,0.09408084,0.09898561,0.095840685,0.08652096,0.078515895,0.07859776,0.08573472,0.09379474,0.097183876,0.095488004,0.091700144,0.089405835,0.09020135,0.09373208,0.097308695,0.09906905,0.09815604,0.09655955,0.0955567,0.096453756,0.09856712,0.101067,0.10168026,0.09855583,0.09037974,0.07849694,0.066526726,0.060154486,0.062851064,0.07228381,0.079705805,0.076729156,0.06354189,0.050118472,0.048222978,0.060517605,0.07769535,0.08585771,0.077484824,0.058717545,0.04677169,0.061820377,0.11103187,0.17853563,0.22878118,0.23122124,0.1845382,0.117930174,0.068380974,0.055032093,0.07294962,0.10351309,0.1283418,0.1387503,0.13486724,0.122398764,0.10670445,0.09223344,0.08310729,0.08152274,0.087229334,0.09514344,0.099767335,0.09579339,0.08223155,0.062384877,0.045158893,0.04181279,0.05924626,0.093622126,0.12985145,0.15163344,0.15297568,0.14259972,0.13544382,0.13954014,0.15001266,0.15429881,0.14487696,0.12460374,0.10355014,0.0884152,0.07958691,0.07357093,0.06845698,0.06436339,0.06172109,0.061053734,0.063442014,0.0704649,0.08141657,0.09234607,0.09826249,0.097762525,0.09495774,0.09739681,0.10944417,0.13042855,0.1523935,0.16832958,0.17180414,0.1643485,0.1481859,0.12995176,0.11387938,0.105223656,0.104269646,0.10800999,0.11100159,0.111480586,0.11190773,0.114536665,0.11682125,0.11294502,0.100741096,0.08426964,0.070253365,0.0615961,0.056198057,0.05100356,0.04579098,0.043852646,0.047624078,0.056455243,0.06585705,0.07168499,0.07256887,0.07044091,0.06845517,0.06869388,0.072688766,0.08047842,0.09070771,0.09939388,0.102387376,0.09842328,0.089991145,0.08129365,0.07459649,0.06967863,0.06480666,0.058135778,0.048771083,0.03787496,0.030348465,0.03371401,0.052732896,0.08330092,0.11188307,0.12424462,0.11544078,0.09269049,0.06979377,0.058470514,0.063790046,0.08126599,0.10090494,0.11259312,0.11386307,0.10800276,0.09957671,0.090144,0.08031868,0.07231129,0.06908751,0.07265538,0.082361996,0.09528986,0.10611051,0.108562164,0.09850336,0.07801647,0.056151476,0.045948308,0.05624183,0.0857696,0.121082604,0.1450696,0.147361,0.13123329,0.10851153,0.0902955,0.080629826,0.078041725,0.07951456,0.08249846,0.08504054,0.085425355,0.08366752,0.08123887,0.08130565,0.08662746,0.09837568,0.11400447,0.12721872,0.13119248,0.12307465,0.10720852,0.09241129,0.08676165,0.092296876,0.10504187,0.11832005,0.1281879,0.1343013,0.13846318,0.14097267,0.1420796,0.14356434,0.14832312,0.15472399,0.15518196,0.14201118,0.11706706,0.09241822,0.081277184,0.087376855,0.103137754,0.1175774,0.12365695,0.12193465,0.116492786,0.113476165,0.117004804,0.12854914,0.14328577,0.15371543,0.15429245,0.14646554,0.13667388,0.13094626,0.13145077,0.13618709,0.14173244,0.14474933,0.14336306,0.13768266,0.12923567,0.11949388,0.10828837,0.09482351,0.079987556,0.06641919,0.05710326,0.0520616,0.049827706,0.047559757,0.04373018,0.038659174,0.03649662,0.044695046,0.066686936,0.09859932,0.12762596,0.14501058,0.14779937,0.14057006,0.12503804,0.10257713,0.07496054,0.04890795,0.032099776,0.03055468,0.044199094,0.06651621,0.08585728,0.093432166,0.08851936,0.07960298,0.07512588,0.07757523,0.08177581,0.08276519,0.08010691,0.0787813,0.08298416,0.092906,0.10298487,0.106917,0.101025194,0.09008548,0.08401648,0.0924696,0.113388814,0.13395299,0.13832797,0.12281593,0.096871875,0.07615724,0.068103395,0.06937639,0.069817506,0.06387179,0.054383263,0.050760344,0.058461715,0.074865796,0.089443795,0.09414501,0.087109216,0.07481713,0.0654036,0.065118514,0.07354916,0.085182,0.092811726,0.09404737,0.09063066,0.08608192,0.080972075,0.076796524,0.07664179,0.08479062,0.10021255,0.116747595,0.12628676,0.124998145,0.11415202,0.100095116,0.09007054,0.08959848,0.09765779,0.1091479,0.11798396,0.12275368,0.12472034,0.12542415,0.124069296,0.11992463,0.11425266,0.1095728,0.10752287,0.11032,0.12405995,0.15827328,0.21237041,0.26927128,0.2991587,0.28671286,0.24010466,0.18656082,0.14675476,0.1261885,0.118501365,0.11564815,0.11370478,0.10970078,0.10328648,0.09314227,0.08030904,0.0644412,0.04757308,0.03267864,0.026217839,0.032980204,0.053454656,0.08019366,0.10313758,0.11498228,0.11620838,0.11126924,0.10494944,0.099632144,0.0965387,0.09587023,0.09675616,0.09844593,0.10081619,0.103835024,0.107395776,0.11318707,0.12566595,0.14684165,0.17210776,0.19173567,0.19958203,0.19590646,0.1838914,0.16468345,0.13982062,0.11398503,0.09457549,0.08628959,0.08925035,0.09904611,0.10865653,0.11075133,0.1009771,0.081500955,0.060048122,0.04659228,0.04835348,0.06594474,0.09338829,0.1203354,0.14007579,0.15086895,0.15510352,0.15276314,0.14329945,0.12980455,0.11898381,0.11594049,0.11767247,0.11867616,0.1157194,0.11129686,0.10959023,0.11443155,0.13026895,0.15724362,0.1893722,0.21225989,0.21680176,0.20471269,0.1880788,0.1758248,0.1687604,0.16456185,0.16486947,0.17625396,0.20048362,0.2296902,0.24798624,0.24670798,0.23066574,0.21493189,0.20899428,0.21244514,0.2188252,0.22179098,0.21681638,0.20055155,0.17675431,0.1532833,0.13815771,0.1292281,0.11943949,0.10185795,0.07769673,0.05192959,0.03094092,0.018127324,0.01573939,0.024496088,0.044779837,0.073932685,0.105174996,0.12849776,0.13667338,0.1303894,0.1170954,0.10541692,0.09985221,0.10028189,0.10376679,0.10594509,0.10453117,0.09872484,0.090135686,0.077903755,0.061827015,0.042976867,0.02811648,0.025360053,0.040294945,0.06871575,0.09982333,0.12268308,0.13862085,0.15483129,0.17582817,0.19168727,0.19120449,0.17208402,0.14563224,0.124249965,0.113024436,0.111106455,0.11459836,0.119581155,0.11981974,0.11293308,0.10119166,0.09163674,0.08715049,0.08645908,0.08560065,0.08405767,0.082374476,0.081270166,0.08036432,0.08019178,0.08106795,0.08170425,0.08023261,0.07699484,0.074462764,0.07421537,0.07471756,0.074670024,0.07507625,0.078412,0.08314237,0.08368019,0.07444327,0.057168763,0.040339854,0.035219427,0.045658987,0.06770196,0.08961447,0.10318175,0.105495214,0.102649935,0.1015129,0.1064604,0.115596175,0.1257807,0.13676359,0.15179788,0.17103706,0.18846615,0.19440489,0.18541849,0.16540451,0.14392279,0.12776399,0.12067783,0.12180927,0.1284473,0.13665158,0.14285165,0.14545135,0.14278512,0.13550255,0.12439553,0.1149787,0.11059908,0.11232931,0.11350692,0.10926753,0.10032833,0.09593596,0.10416902,0.12335837,0.14215289,0.14738595,0.13684015,0.11793064,0.102361344,0.09396094,0.08972385,0.08331123,0.07447908,0.07095579,0.0855411,0.12271368,0.16992323,0.20038146,0.19504629,0.15964231,0.12229424,0.10988927,0.12483388,0.1471592,0.15128545,0.13082136,0.097391866,0.07279957,0.07019951,0.0907604,0.12238103,0.14779924,0.15285946,0.13497283,0.10216943,0.06781842,0.0441038,0.042132605,0.06841523,0.11754104,0.16925235,0.19575427,0.18391125,0.14350653,0.10378895,0.09023869,0.107956946,0.13980867,0.15883362,0.15164804,0.12196806,0.087071784,0.058924183,0.043708842,0.043140277,0.058713455,0.08687245,0.11749107,0.14044066,0.15150954,0.153343,0.14783181,0.13619457,0.11937076,0.10232758,0.08860325,0.080091566,0.07653513,0.07938173,0.08916379,0.102567606,0.1126068,0.11401833,0.107459575,0.097890474,0.08929088,0.08235469,0.0758218,0.069916315,0.06492269,0.06090419,0.057650983,0.05945152,0.07277008,0.098661266,0.12791231,0.14633141,0.14989121,0.14383166,0.13913302,0.13934845,0.14853205,0.1644177,0.1823741,0.18803985,0.17488255,0.1452854,0.1126828,0.08642131,0.07197297,0.06846558,0.07164968,0.07252175,0.06439303,0.047437698,0.029022895,0.016243553,0.015712416,0.03709871,0.09697365,0.20168938,0.3322784,0.44104302,0.48529112,0.4549556,0.3782874,0.2929056,0.22053957,0.1633798,0.1153673,0.07571341,0.048670843,0.04103683,0.05293675,0.076631986,0.09820487,0.10758245,0.10347832,0.09265416,0.08359647,0.081465244,0.08683995,0.09531037,0.09983783,0.095766254,0.08546101,0.07835707,0.08102492,0.09252568,0.10270908,0.10490828,0.09799146,0.08904305,0.08243555,0.07981396,0.07765625,0.07326833,0.06477264,0.053227898,0.04119539,0.032404426,0.029127313,0.031453367,0.037126556,0.04307312,0.046069246,0.043519747,0.036691085,0.032191228,0.04150462,0.07085315,0.114013195,0.15065832,0.16189486,0.14406112,0.113135874,0.08855062,0.079634,0.08070466,0.083323985,0.082128696,0.078505754,0.07375849,0.07043617,0.06826205,0.06670631,0.061689664,0.052757632,0.04330395,0.042855073,0.0556644,0.07805656,0.09707296,0.10360491,0.0968368,0.084930085,0.07682512,0.07784162,0.08893377,0.10532197,0.1202768,0.12834062,0.1326952,0.13981672,0.152676,0.16406177,0.16429383,0.14956047,0.12593229,0.10338315,0.08924378,0.086194925,0.09265572,0.105035864,0.11640153,0.11989379,0.11161242,0.097250156,0.08951097,0.1006399,0.13087736,0.16687584,0.19039728,0.18985856,0.16609381,0.1280227,0.08848664,0.059278756,0.050266404,0.06501339,0.09784239,0.13442886,0.15788974,0.16025926,0.145543,0.12679581,0.114807524,0.113148294,0.11901698,0.12612383,0.12892824,0.1220406,0.10470897,0.07944124,0.05386592,0.03642521,0.035019487,0.051990908,0.0823318,0.11412716,0.13524474,0.14078408,0.13503514,0.12704505,0.1218554,0.11906954,0.11448509,0.107064165,0.09920918,0.09526336,0.09750121,0.103744484,0.11053582,0.11468046,0.11807131,0.12291628,0.12977898,0.13359664,0.12885913,0.11411995,0.09455299,0.078327306,0.07145014,0.07448742,0.08317285,0.09085866,0.09250269,0.08658377,0.07641992,0.068243384,0.068872325,0.08235853,0.10765252,0.13773853,0.16122127,0.16780905,0.15439107,0.12755667,0.09838131,0.075416476,0.060419843,0.05098157,0.04326339,0.035650812,0.029017635,0.027942283,0.036246654,0.05407204,0.07487023,0.09106485,0.09893295,0.10079961,0.10084202,0.10003716,0.0982463,0.09571292,0.09616334,0.10097399,0.10883284,0.11471555,0.11506703,0.10884124,0.09863561,0.08871367,0.08186228,0.07853946,0.07691868,0.07836754,0.084096074,0.09408932,0.10129774,0.09969634,0.08714399,0.069237344,0.052721724,0.04580261,0.056890845,0.093090676,0.14771132,0.19963993,0.22139996,0.20481355,0.16182713,0.11799178,0.087949306,0.07514105,0.07339528,0.07688948,0.08176565,0.085260175,0.08776542,0.08786286,0.0858802,0.07905436,0.06880693,0.056525424,0.04737207,0.04435503,0.0499205,0.061443668,0.073580064,0.07910635,0.075643115,0.06568266,0.05576803,0.049769875,0.0479167,0.047081005,0.046281356,0.050893918,0.07181272,0.11677432,0.17691636,0.22730394,0.2418731,0.2163068,0.16945998,0.12690131,0.10089109,0.08902636,0.08598513,0.09093801,0.1041083,0.1202656,0.12865071,0.122077815,0.10259611,0.082619876,0.07550915,0.08567738,0.10619678,0.123352826,0.1305395,0.12877807,0.12758829,0.13287377,0.14639795,0.16184127,0.17250742,0.17717691,0.18188739,0.19408399,0.21072002,0.2227685,0.22126828,0.21072848,0.2028703,0.20926829,0.23169951,0.2617766,0.28863075,0.30103275,0.2957102,0.27381083,0.24553181,0.21951704,0.20236737,0.19409855,0.19589072,0.20725198,0.22414608,0.23470414,0.2289239,0.20617445,0.17836906,0.15765284,0.1479675,0.1409537,0.12698333,0.10310149,0.078987315,0.06809044,0.07765009,0.10028698,0.12001427,0.12488866,0.11694494,0.1084175,0.109589,0.11909286,0.12720376,0.12513141,0.11367631,0.10017231,0.09181128,0.08997191,0.09293705,0.09981426,0.11031387,0.12077119,0.12386946,0.11396036,0.09426779,0.07597704,0.07333771,0.09281069,0.1292785,0.16573499,0.18584366,0.18338759,0.16629922,0.14614536,0.12998974,0.117370866,0.10676066,0.0969748,0.08822238,0.07909259,0.0703856,0.063866876,0.061692093,0.06180298,0.060546484,0.05720517,0.055336624,0.058908697,0.06585652,0.07100571,0.06991312,0.06420717,0.057089582,0.051338237,0.0462926,0.040978935,0.03421967,0.02626484,0.018742088,0.015798626,0.023702689,0.046602916,0.08246102,0.119500674,0.14257522,0.14092791,0.116894245,0.08322575,0.055518236,0.04199305,0.04050751,0.04268359,0.04214659,0.0392959,0.038548872,0.041811064,0.045399755,0.04473692,0.040688533,0.04079323,0.051897556,0.0731684,0.094549954,0.10498929,0.09970883,0.08378903,0.066350594,0.054760825,0.050655082,0.05199736,0.056062743,0.06147645,0.06816124,0.07644787,0.08555034,0.09278223,0.09369206,0.08546571,0.06900566,0.04938061,0.03191025,0.019947225,0.014275092,0.01532919,0.022621,0.03384563,0.04352595,0.04708292,0.04352938,0.0374628,0.034212556,0.0370211,0.044271078,0.05220233,0.056397792,0.05491598,0.04803933,0.038396426,0.02834838,0.019613111,0.012885709,0.009470218,0.011630428,0.021019747,0.037518565,0.05682754,0.07393638,0.08288189,0.08217951,0.07214693,0.058298517,0.04514866,0.036835093,0.032411736,0.03107561,0.03183653,0.035926446,0.04209484,0.047632385,0.048342496,0.043001365,0.03316099,0.023053974,0.01594018,0.012864728,0.012260842,0.013132933,0.016536547,0.025807396,0.04184751,0.061760027,0.078089714,0.08615669,0.085544325,0.08211339,0.07943541,0.07767127,0.07209072,0.061205465,0.047371317,0.03632008,0.030401906,0.02808989,0.025214596,0.020434985,0.016175192,0.018539064,0.03153873,0.05483223,0.08121145,0.10335049,0.11689035,0.1237177,0.12528415,0.12057989,0.10695169,0.08698734,0.069893874,0.06615409,0.07841757,0.09826691,0.1111733,0.107692905,0.08919058,0.06624797,0.04905494,0.041604515,0.04137274,0.044803176,0.049910124,0.05564459,0.059539482,0.059779853,0.05762623,0.05741987,0.061235204,0.06658013,0.06885829,0.06667266,0.06272554,0.060961258,0.06354808,0.069415934,0.074559964,0.07364228,0.06435909,0.049882066,0.037885133,0.03417644,0.03941983,0.04826805,0.055397797,0.058376666,0.05921785,0.059457496,0.058117036,0.052898258,0.043896094,0.034571726,0.02815325,0.025566695,0.025157712,0.025320208,0.025044044,0.024256766,0.02345928,0.024252318,0.028283624,0.036139008,0.04540041,0.053333204,0.05864738,0.06548213,0.07820809,0.098947614,0.121289946,0.13634336,0.13586846,0.12020195,0.09522533,0.07016682,0.050781783,0.03882272,0.032669317,0.030066168,0.029023344,0.027572526,0.02506386,0.022081489,0.020345047,0.019894516,0.01941871,0.017263494,0.0137742795,0.011026729,0.012049477,0.019245515,0.033266563,0.051775698,0.070006676,0.08317873,0.0895512,0.09136445,0.09204299,0.09356748,0.09479829,0.094966315,0.09384183,0.093205206,0.09243297,0.0905566,0.08504936,0.07589499,0.06376928,0.051000047,0.039353136,0.030651197,0.025958182,0.025608659,0.02837644,0.03267088,0.037353158,0.042202428,0.045893345,0.045902967,0.040177267,0.029764852,0.018864641,0.012895639,0.01649142,0.0313781,0.054733012,0.079676874,0.09872284,0.10880799,0.11060246,0.10744128,0.10057167,0.09225392,0.08362139,0.07753328,0.073754035,0.071034834,0.06581398,0.057045426,0.04636553,0.037789628,0.034273904,0.036993187,0.04671892,0.06345973,0.084304005,0.10180831,0.10851723,0.10252943,0.08894706,0.074986905,0.06504177,0.060034286,0.06013249,0.06508342,0.073688276,0.08164229,0.085294895,0.08286106,0.07735861,0.07216468,0.06983491,0.06918738,0.06826527,0.064847894,0.05923793,0.052596465,0.047666986,0.04513253,0.04475708,0.043535303,0.0403922,0.035593417,0.032769274,0.03410093,0.03999285,0.04732759,0.053288307,0.05605014,0.056864183,0.05718842,0.058342088,0.05892567,0.057987466,0.055500794,0.054417085,0.056892395,0.06297711,0.06969572,0.07382979,0.07449483,0.07441354,0.07926185,0.0931204,0.114760436,0.1367885,0.15178478,0.15682502,0.15493794,0.14903814,0.14031817,0.12648627,0.10678103,0.081703715,0.055309143,0.03197604,0.015409616,0.0060971505,0.0022202672,0.0011345093,0.0009876384,0.0009942906,0.001027856,0.0014086217,0.002836192,0.0061097965,0.011478034,0.018470703,0.026493529,0.035405073,0.04554573,0.056735855,0.06840989,0.078577675,0.0848242,0.08451417,0.078619435,0.07145839,0.06848257,0.07129773,0.07736543,0.08345923,0.088105045,0.09163076,0.093892425,0.09502845,0.09598131,0.09951467,0.10620729,0.11453507,0.119479805,0.12069022,0.117916904,0.11272118,0.10016101,0.0798569,0.05463837,0.033633303,0.02081837,0.016286569,0.017157756,0.021365276,0.026424512,0.028277813,0.025196007,0.018585213,0.013440681,0.012094173,0.013864185,0.015002422,0.014300655,0.01356332,0.01723098,0.02828849,0.04677974,0.070735894,0.09695151,0.12540592,0.15882987,0.20281316,0.25357476,0.29625598,0.31120268,0.29634002,0.26915035,0.25307098,0.25286517,0.25554115,0.24589474,0.22335781,0.19906597,0.18157811,0.16934015,0.15505056,0.1370777,0.12017494,0.10908196,0.101133816,0.090795256,0.07523163,0.058470592,0.045186248,0.037692796,0.03361201,0.029715009,0.024478525,0.019229135,0.016171934,0.01556882,0.015370622,0.014025907,0.012196749,0.012751623,0.016431982,0.021413187,0.023478245,0.020985859,0.014926075,0.008796382,0.004588241,0.0032073967,0.004624087,0.009824953,0.01849447,0.028181633,0.033795744,0.03227177,0.024347618,0.015001375,0.008790073,0.008042745,0.011283132,0.015545608,0.017579975,0.017350676,0.018394664,0.026229238,0.042881176,0.06294167,0.07624913,0.07434463,0.058268484,0.036078498,0.017746368,0.008350794,0.009269125,0.020063974,0.037590634,0.055168718,0.06307664,0.05729696,0.04095614,0.023537727,0.011360866,0.006051691,0.004699122,0.004960336,0.006959077,0.014195226,0.031409632,0.060790244,0.099357165,0.14024697,0.17577688,0.19969924,0.20729901,0.19755317,0.17476164,0.14701702,0.12142112,0.099603005,0.079775356,0.059513148,0.03970206,0.023033753,0.012614562,0.0093033435,0.011210048,0.014748563,0.01628462,0.014773823,0.011459592,0.008963566,0.00826773,0.00863779,0.008418868,0.0070195943,0.00495491,0.0035772908,0.0047818986,0.011298322,0.02495051,0.043928493,0.061413165,0.0694282,0.06463092,0.05072871,0.034935217,0.022607261,0.015792217,0.01475786,0.02003574,0.030698605,0.043331433,0.051943794,0.05237718,0.044637445,0.03325252,0.023060462,0.016361473,0.012349165,0.009334396,0.006756486,0.0054694084,0.0071127326,0.012743969,0.022429675,0.03510973,0.04977867,0.065452375,0.08055735,0.09126288,0.09310535,0.0836895,0.06589274,0.045592736,0.02855705,0.016891085,0.010363084,0.007578975,0.007668315,0.010143793,0.015371695,0.024259752,0.036479775,0.048822578,0.05570055,0.05335394,0.043002814,0.030933464,0.024732858,0.030620595,0.05040452,0.08110743,0.11357335,0.13822661,0.14870852,0.1469148,0.1374153,0.12450504,0.10817657,0.08859772,0.066982806,0.04672498,0.029944615,0.017601797,0.009421007,0.0056475843,0.0066735763,0.012500825,0.021280788,0.030252725,0.037650812,0.045665022,0.0569521,0.0712896,0.08189938,0.08209536,0.06978106,0.050835337,0.03368173,0.025130628,0.026790937,0.035372302,0.04442497,0.048293483,0.045200054,0.03872458,0.03453505,0.037436176,0.04647951,0.057818245,0.06696573,0.076192275,0.08904904,0.10648719,0.11968869,0.11913529,0.100969754,0.07244664,0.043905776,0.023297802,0.0123354895,0.009657223,0.012387864,0.017825132,0.02295553,0.025420746,0.023862513,0.01933192,0.0148113975,0.014578466,0.021079453,0.033968005,0.04963763,0.06441077,0.074967645,0.079320095,0.0758029,0.06533507,0.05148882,0.03922022,0.031087538,0.02632414,0.022406647,0.017890437,0.012925491,0.008931474,0.007310732,0.0096852705,0.016335608,0.026043305,0.034788027,0.038892116,0.036425196,0.029880853,0.023138674,0.019996967,0.021179803,0.025634661,0.030571068,0.033337716,0.0319219,0.026810162,0.02064413,0.017070256,0.01781193,0.021674043,0.025294906,0.025948234,0.023330161,0.019259319,0.015702683,0.0133068105,0.011922541,0.011722437,0.013576299,0.01769785,0.022787372,0.026339037,0.026722794,0.024326101,0.021465048,0.020541208,0.023024105,0.028981766,0.038235392,0.050217856,0.06489479,0.08066865,0.09519338,0.1031848,0.10067877,0.08573776,0.06291113,0.039869085,0.025529006,0.025088117,0.03789742,0.057071473,0.07248286,0.07814375,0.075483106,0.07124528,0.06993855,0.07079154,0.07042966,0.06653608,0.05895182,0.04815195,0.035368323,0.023135236,0.015709242,0.017719572,0.031569064,0.053553354,0.07419214,0.08261104,0.07596401,0.06047204,0.047942862,0.04512483,0.05189078,0.061209843,0.066469066,0.06415767,0.057215843,0.05115014,0.050247923,0.052875236,0.053703606,0.047952324,0.03609929,0.0224609,0.011859818,0.0058452818,0.0034030483,0.002970977,0.0046271374,0.009917271,0.019276427,0.030272037,0.037467804,0.037104912,0.030794555,0.026212437,0.031757876,0.048747074,0.06982266,0.083358765,0.08555404,0.08211771,0.08407128,0.09557792,0.112758994,0.12765615,0.13472342,0.13236396,0.12077559,0.102168225,0.079205826,0.056118477,0.036330596,0.022978604,0.017210944,0.018771984,0.026086971,0.03729129,0.05147584,0.067919545,0.086616695,0.104635924,0.11790661,0.12132869,0.11577758,0.10628461,0.09864756,0.09237174,0.082086444,0.06463496,0.042570084,0.023011448,0.010640026,0.0077488883,0.015369691,0.035348993,0.06657972,0.10234749,0.13229583,0.14910747,0.15261145,0.14727904,0.13735835,0.12428149,0.11026234,0.098019354,0.09116476,0.08867025,0.08909889,0.0908058,0.09627345,0.105588265,0.114440314,0.11383792,0.09815508,0.07059732,0.041026123,0.018803585,0.0069990307,0.0038700115,0.006517822,0.012299043,0.018684404,0.0224365,0.022654051,0.020332478,0.018759532,0.020141764,0.026370779,0.037397414,0.051627904,0.06441005,0.07138527,0.07042688,0.06485481,0.059720237,0.06030101,0.06715656,0.07770521,0.08572786,0.08633029,0.077260815,0.06155998,0.044993114,0.034243178,0.03296237,0.041280124,0.055459064,0.07146984,0.08568778,0.09686927,0.10348216,0.10624939,0.106955685,0.11080804,0.1196206,0.13063915,0.13415356,0.12327271,0.09739691,0.06527815,0.03647409,0.017673938,0.009256643,0.009109971,0.014711499,0.02511167,0.04016344,0.05812146,0.07578377,0.08891974,0.09745744,0.10358256,0.11078995,0.116757445,0.11618453,0.10340047,0.0796667,0.05163261,0.027741767,0.01250578,0.005993549,0.005836939,0.009289279,0.013713372,0.016388241,0.016765228,0.017573265,0.02668196,0.05052045,0.09356817,0.1488127,0.20712548,0.2505387,0.27114582,0.26412582,0.24609374,0.23742217,0.26686046,0.34337124,0.45505658,0.5539147,0.58939487,0.53310853,0.41174236,0.27777585,0.17928086,0.12581712,0.103333734,0.09074167,0.07783618,0.0628845,0.048786033,0.038275238,0.032540385,0.031617206,0.035631467,0.045369223,0.061172992,0.08137121,0.10199723,0.117172204,0.1218237,0.11377246,0.09770373,0.0824318,0.07802116,0.08790857,0.10908822,0.13173331,0.14607535,0.1455191,0.13124494,0.10962813,0.08856919,0.07280256,0.06305052,0.05774669,0.054697316,0.052608803,0.051261995,0.052230593,0.05874367,0.07465889,0.102183856,0.14060636,0.18476851,0.22743995,0.258119,0.26922485,0.25642768,0.22704816,0.19375582,0.17181598,0.16514885,0.16914912,0.17225832,0.16798437,0.15314364,0.13074015,0.1057631,0.08842397,0.08590976,0.09970463,0.12086476,0.13993792,0.14980501,0.15063155,0.14375217,0.13307086,0.121477395,0.113480955,0.112062514,0.118607245,0.12996702,0.14028609,0.14654928,0.14995103,0.15328832,0.15186687,0.13828804,0.10868613,0.0719345,0.041993495,0.03051593,0.038063493,0.056257684,0.07157578,0.07421434,0.06315874,0.046633303,0.034282755,0.03028272,0.031875417,0.03511853,0.03894564,0.044425745,0.05048898,0.053088218,0.0486381,0.03758088,0.024227738,0.013388533,0.008263353,0.010593057,0.021069879,0.03875834,0.059372053,0.07744959,0.08803105,0.09044778,0.086224265,0.07986927,0.07492149,0.07379613,0.073997,0.071097426,0.061433125,0.046459954,0.030795917,0.018816149,0.011551753,0.0075712577,0.005203208,0.0040977118,0.0051575783,0.009386743,0.016792698,0.025498636,0.032684375,0.0362377,0.036736637,0.035864692,0.034721274,0.031842697,0.02629584,0.018680006,0.012154008,0.008860581,0.0095000295,0.012924665,0.01802253,0.023279024,0.026933929,0.026990237,0.02302154,0.01640498,0.009869541,0.005307765,0.0033025846,0.003106699,0.0037240677,0.004210315,0.004087462,0.0036981478,0.00507632,0.012279842,0.029739827,0.057989627,0.09059162,0.11640218,0.12720215,0.12307966,0.11090896,0.0975006,0.08575792,0.074688055,0.0630605,0.050022956,0.036726292,0.02456735,0.015670458,0.010334358,0.0079315435,0.007267434,0.009362789,0.017051378,0.033454426,0.057862014,0.08700961,0.115968846,0.14258938,0.16238134,0.17013288,0.1597811,0.13380907,0.101117365,0.07214528,0.050980706,0.035603452,0.023393461,0.013308597,0.006449062,0.0026816402,0.0013105014,0.00094864116,0.00091701077,0.00089623523,0.00088134065,0.00086277275,0.00082536176,0.0007645853,0.0006989915,0.000650872,0.0006288162,0.0006297406,0.000644257,0.00066140917,0.00066068856,0.0006333394,0.0005891489,0.00056694704,0.00059022824,0.00064857997,0.0006880425,0.0006653305,0.00057656306,0.0004684777,0.0003918294,0.0003770494,0.00041682855,0.00048918347,0.00056069,0.000606073,0.00060693297,0.00056642207,0.00050147343,0.00044116355,0.00041157]