[0.0003982577,0.00053378235,0.0008574051,0.001337599,0.0018997634,0.002481057,0.0030290491,0.0035437227,0.0040435237,0.0045736586,0.0051396103,0.005688397,0.0061066486,0.0063421275,0.0064635244,0.0066751037,0.0071712383,0.008006121,0.008999425,0.009814965,0.01018273,0.010072477,0.009737715,0.009509266,0.009661343,0.010245084,0.011180089,0.012263472,0.013422479,0.014669883,0.016163321,0.017900284,0.019754589,0.021336911,0.022300795,0.022392584,0.021789648,0.021370267,0.022789428,0.028045883,0.037235573,0.048331436,0.05808176,0.06675405,0.07684827,0.09022189,0.10262463,0.108347885,0.1051496,0.0984235,0.09404236,0.09431528,0.09534315,0.09415775,0.089559376,0.08430573,0.08004946,0.078769185,0.0795593,0.08065025,0.078024924,0.07007763,0.058157634,0.047058072,0.040502947,0.039136466,0.040215105,0.040376883,0.038142163,0.034275956,0.030613236,0.028222518,0.02730917,0.027542785,0.02859663,0.03035286,0.03300781,0.03694077,0.04170649,0.046357304,0.05058397,0.05630875,0.065159775,0.07575058,0.08233515,0.080457024,0.07091539,0.06066549,0.05556531,0.05626036,0.05748197,0.05465335,0.04703048,0.03836706,0.03269657,0.03274536,0.03938285,0.05194447,0.06741627,0.080206,0.08496318,0.07981465,0.06773874,0.05414137,0.043723736,0.0388396,0.03932011,0.04315136,0.04711779,0.04849161,0.04631734,0.0423108,0.039158598,0.038860664,0.040829204,0.04341212,0.045101076,0.046244983,0.04826261,0.053590525,0.064603366,0.08204572,0.10223997,0.11772419,0.1208249,0.10980781,0.08920157,0.06730352,0.04990223,0.038970347,0.032818805,0.029338589,0.027193358,0.026569813,0.028492503,0.034018513,0.042876337,0.052657753,0.05936654,0.059746265,0.053426336,0.0432004,0.03306452,0.026362874,0.025067775,0.030277273,0.041213322,0.054743994,0.0656143,0.07002238,0.06761766,0.06153841,0.055594146,0.052269086,0.05199763,0.053601116,0.0554454,0.057290584,0.060884286,0.06870093,0.08025812,0.09093975,0.094105124,0.08634744,0.070078716,0.051580593,0.036583256,0.027272118,0.023460826,0.024413377,0.030525967,0.041718498,0.056854475,0.07304674,0.087141335,0.09654007,0.0999554,0.09889213,0.09720402,0.09970058,0.1076262,0.11745111,0.12325925,0.121506654,0.11420522,0.106217414,0.10205818,0.1018532,0.10302738,0.10118156,0.09364333,0.079936706,0.063734345,0.050797235,0.046079386,0.049968313,0.057706963,0.063057266,0.06174765,0.05440413,0.04431218,0.03543837,0.02954203,0.026702901,0.02606459,0.026910143,0.028612187,0.030361777,0.03150915,0.031881522,0.032494847,0.03497688,0.041349456,0.051599085,0.06385742,0.073907405,0.07996318,0.08245575,0.084577136,0.08633665,0.08561811,0.07917979,0.06793582,0.05560426,0.046493977,0.04216926,0.041598897,0.042816166,0.044129927,0.04582205,0.048943985,0.05469333,0.061112165,0.06463143,0.061613735,0.052424196,0.040516756,0.03043238,0.02447457,0.022254312,0.022004643,0.022288894,0.02277583,0.023767637,0.025343081,0.027199758,0.029104607,0.031914547,0.03711088,0.045010865,0.053738836,0.059905846,0.06196702,0.060183987,0.056468952,0.05133697,0.045394897,0.038803574,0.03301103,0.029468043,0.030269114,0.036470454,0.047700793,0.061418742,0.07492576,0.08553162,0.091522045,0.09104975,0.084903665,0.07600459,0.06877472,0.064360105,0.060403008,0.05332205,0.042274255,0.029795915,0.019195955,0.012377127,0.008980651,0.0077333297,0.0074040997,0.0074372864,0.007882758,0.009104844,0.011621336,0.015320065,0.019198671,0.021334643,0.020712286,0.018192753,0.016706362,0.01867033,0.025494928,0.03690267,0.05332804,0.072211266,0.08891051,0.09493441,0.08734206,0.06837049,0.04699926,0.029232131,0.017971497,0.0115665,0.008695477,0.009598933,0.017940579,0.04033136,0.08059239,0.13420822,0.182988,0.2060114,0.19044296,0.14489228,0.09008035,0.04804052,0.02742215,0.024975894,0.031008566,0.037854034,0.04451539,0.055062994,0.07313657,0.09656825,0.11872444,0.13569157,0.14788736,0.15839976,0.16534476,0.16658068,0.16072632,0.15564851,0.15791054,0.17118542,0.18547072,0.19028346,0.17859794,0.15659894,0.13156293,0.108231165,0.08428522,0.0596544,0.036805373,0.02066247,0.0124700265,0.011139858,0.014274947,0.020616867,0.028916761,0.037475273,0.04426765,0.04778536,0.047367916,0.043254837,0.037490416,0.034566775,0.039981235,0.055233497,0.07506177,0.08869263,0.088377744,0.07402951,0.054295972,0.039002612,0.033279702,0.034777194,0.038051885,0.04123832,0.04832865,0.06416457,0.088208884,0.112540305,0.12848175,0.13019985,0.118311875,0.09733654,0.07629405,0.063985124,0.06652797,0.08273503,0.10725286,0.13092054,0.14711107,0.15058975,0.14182882,0.12237949,0.09670893,0.068719886,0.043658335,0.025003642,0.014143891,0.0098471185,0.010338369,0.014626955,0.021927709,0.03149316,0.04223578,0.053370196,0.06277996,0.067056745,0.0635284,0.05363886,0.04255186,0.034644958,0.030530645,0.028863795,0.03089658,0.040888976,0.06138086,0.0889295,0.11418128,0.12876128,0.12934162,0.12065026,0.10966459,0.10290679,0.10078258,0.10074633,0.09837221,0.092734404,0.08475653,0.07748815,0.072284155,0.069663346,0.06719832,0.062231604,0.05224533,0.038595345,0.024631009,0.014365996,0.008892103,0.007186822,0.007259878,0.008127138,0.009825629,0.012712765,0.016654562,0.02066029,0.023402074,0.023825599,0.021746805,0.017891726,0.013562023,0.010325756,0.009503535,0.011944488,0.016961897,0.022361299,0.024974396,0.023274913,0.01814288,0.012390581,0.008524967,0.009194759,0.018499127,0.041786775,0.08015373,0.12555094,0.16228612,0.1772315,0.1687906,0.1469129,0.12562592,0.11375433,0.11273227,0.116224766,0.11723695,0.11152881,0.10264247,0.096587025,0.098220624,0.105755955,0.11392739,0.11651289,0.111500025,0.10006449,0.08553206,0.069507174,0.052785587,0.036162898,0.021912038,0.011992707,0.006734705,0.004816026,0.004705081,0.0058495426,0.008224971,0.0117862,0.0153486105,0.017816342,0.018770158,0.020682365,0.026746178,0.03933656,0.05579411,0.07084901,0.079170816,0.081187166,0.081058525,0.08343261,0.08769951,0.089313306,0.083358444,0.06904222,0.049868856,0.031123696,0.016871868,0.008367901,0.004523494,0.0032992158,0.0031547032,0.003771169,0.0058979127,0.010498413,0.017292583,0.024166817,0.027922126,0.026742572,0.021366013,0.014901169,0.010490873,0.010049585,0.013262386,0.018058559,0.021386137,0.021014864,0.016980564,0.011328596,0.0065299794,0.0038985808,0.0036686787,0.006253738,0.012446583,0.023223197,0.037141416,0.051751852,0.06413952,0.075672455,0.08815929,0.10234985,0.11329979,0.11613222,0.10873588,0.0940742,0.07733189,0.06332358,0.055559542,0.053299222,0.052871466,0.049977615,0.045779306,0.04673967,0.059609264,0.084899805,0.11653807,0.14734343,0.17371476,0.1935448,0.20247215,0.19327396,0.16323753,0.11836752,0.0720439,0.036019742,0.014770211,0.005501971,0.003122167,0.0043859608,0.008477026,0.015655484,0.024800906,0.0333732,0.038135007,0.03806983,0.03420734,0.028937928,0.023157751,0.01718751,0.011091274,0.0060839267,0.0028580602,0.0015135551,0.0013306467,0.0019753126,0.0034079626,0.0055471216,0.007766547,0.0090801455,0.008862297,0.0073083374,0.005389439,0.004143458,0.00405341,0.0049370877,0.006452281,0.009001374,0.013730608,0.021646926,0.033061106,0.04810098,0.06829337,0.09357814,0.12037363,0.1390308,0.14189146,0.12696649,0.10239301,0.07819431,0.062438365,0.055337306,0.05276547,0.04870084,0.040464316,0.029215118,0.019047484,0.013597195,0.013943638,0.018267317,0.023512034,0.027403982,0.02939836,0.029892111,0.029309655,0.027344927,0.023955978,0.019858716,0.017141452,0.017853523,0.022602601,0.02958216,0.035503235,0.037667632,0.035055675,0.029215252,0.023579866,0.024079626,0.03571366,0.059591323,0.087750204,0.10878161,0.11448745,0.10949666,0.103749655,0.10435023,0.106682025,0.10289317,0.089317225,0.07087494,0.055039953,0.04682946,0.04718942,0.05390529,0.06325742,0.07110848,0.074903786,0.0744079,0.07047514,0.06384992,0.053978298,0.04130465,0.027299128,0.015148277,0.006771764,0.0027900247,0.0023725508,0.005035212,0.010243899,0.016679801,0.021726,0.022871045,0.019493902,0.0135098845,0.007932876,0.005136542,0.0055824616,0.008347982,0.0115528,0.013823575,0.014547347,0.014955957,0.018407425,0.030055067,0.054880593,0.09122875,0.12976322,0.15487237,0.15866901,0.1437241,0.12362319,0.108706534,0.10435482,0.1084668,0.11753818,0.12481906,0.12368498,0.1098395,0.08673424,0.06305184,0.04783702,0.042892337,0.043841973,0.043630917,0.04028747,0.035788763,0.03427181,0.035752684,0.037862945,0.036849525,0.031770375,0.023675213,0.015169569,0.008253998,0.004200715,0.0035782543,0.007018252,0.014053737,0.022731746,0.029190585,0.031095542,0.028820151,0.026063586,0.025745792,0.028575242,0.03225425,0.0344429,0.033876907,0.03140506,0.02852367,0.026518667,0.025628122,0.025584638,0.02639548,0.028299296,0.031601164,0.03575036,0.0395081,0.04090111,0.03845653,0.03240757,0.024942638,0.019303055,0.01729315,0.019629793,0.026178867,0.03817371,0.055099268,0.07384248,0.08762776,0.09205487,0.08718065,0.07788601,0.06865236,0.06128068,0.054564834,0.046823297,0.038219284,0.03126598,0.028670738,0.030182978,0.032112252,0.030606998,0.02540054,0.020078937,0.018552301,0.02183748,0.027753294,0.033837974,0.039181445,0.044791672,0.051465735,0.059571464,0.06877635,0.078941725,0.088888705,0.096372984,0.09846836,0.0932293,0.081261404,0.06562295,0.052206855,0.04594494,0.050315905,0.063948125,0.084866226,0.10893264,0.13197577,0.14615057,0.14422129,0.12339991,0.08973366,0.05450562,0.027436217,0.012711962,0.01010481,0.018694183,0.035905812,0.05655955,0.07209874,0.07673857,0.06971351,0.05647027,0.043142293,0.0346801,0.032822583,0.0371348,0.04514296,0.05326992,0.058713917,0.060329314,0.059699938,0.05868719,0.058305416,0.05763762,0.05615974,0.055386752,0.05727501,0.0624398,0.068174176,0.0720816,0.07290048,0.07166805,0.068997055,0.065468736,0.061766684,0.05917473,0.05819344,0.05761047,0.05569881,0.0512163,0.044669244,0.036526505,0.027913472,0.01958423,0.013120304,0.00904764,0.0071044113,0.005990256,0.0051483917,0.004954256,0.0062927403,0.009040699,0.012029736,0.013964643,0.015090925,0.016769605,0.020094186,0.024033,0.026451329,0.026001403,0.024154276,0.02344496,0.025066206,0.026876502,0.025844373,0.020701328,0.013422932,0.0069480487,0.003051103,0.0015669331,0.0016512017,0.002961032,0.0059105954,0.0110754995,0.01803542,0.025051882,0.029311657,0.028925302,0.023847831,0.016473213,0.009567573,0.005079552,0.0029664272,0.002342981,0.0022979742,0.0026847848,0.0035386775,0.004711649,0.005664196,0.0061341207,0.0061221686,0.0058945455,0.0053564818,0.004485959,0.0033661097,0.002544237,0.0027086053,0.004626119,0.008711944,0.014124933,0.018765414,0.020051155,0.017301874,0.0119513795,0.0067819227,0.0034700073,0.0022595192,0.0023327481,0.0029268253,0.0035562713,0.0039329063,0.004109711,0.004449289,0.0058166445,0.009053198,0.014685354,0.02219084,0.0301532,0.036759008,0.040867418,0.04212004,0.04071715,0.036797937,0.031080442,0.024841748,0.020020626,0.017572863,0.017372591,0.018050015,0.018742481,0.019223161,0.02011002,0.021421967,0.022533985,0.02234034,0.020590013,0.01785447,0.015046786,0.012522084,0.010442038,0.009209837,0.009374513,0.010808858,0.012447342,0.013177097,0.012975155,0.01340389,0.01679892,0.02461479,0.035603497,0.045518145,0.0493473,0.04472394,0.033762824,0.021216532,0.011359886,0.0056215622,0.0033035083,0.0028845102,0.0035167483,0.00474597,0.006246652,0.0073837577,0.007793944,0.0076161106,0.007450251,0.007986836,0.009866235,0.013984837,0.02062056,0.029679105,0.039698746,0.04988396,0.058761805,0.065864496,0.06932762,0.06842724,0.06226794,0.05264619,0.042067498,0.034429483,0.03214142,0.0360281,0.04403776,0.05217765,0.055864695,0.052368466,0.042494822,0.030085223,0.019478826,0.01297703,0.010294651,0.010533583,0.014020284,0.021809638,0.03305806,0.043690268,0.04892473,0.04763746,0.043282535,0.040505663,0.040109437,0.03963408,0.036696732,0.033013385,0.03171624,0.033946782,0.036635328,0.036476657,0.033325683,0.030604966,0.031374115,0.035487775,0.039971966,0.04185416,0.04026197,0.036813688,0.034382973,0.03545404,0.04032941,0.047099102,0.0528509,0.056618843,0.05955887,0.06493368,0.073854156,0.085789084,0.09598408,0.100963086,0.09715701,0.086204596,0.07032261,0.054961126,0.043613497,0.039529894,0.04195052,0.04814732,0.053757686,0.055980723,0.054772954,0.05199251,0.0501864,0.04995477,0.051478285,0.054228533,0.059228737,0.06618462,0.07357184,0.07776826,0.07681494,0.071472555,0.06516328,0.06104341,0.060762867,0.06412925,0.06980745,0.07482333,0.07572009,0.07009601,0.059469443,0.04806894,0.04011179,0.036433086,0.03511633,0.033730134,0.031378675,0.02885369,0.02790652,0.029893816,0.034481317,0.039328687,0.041603625,0.040044993,0.035424285,0.029537493,0.023834728,0.019145243,0.015810788,0.013751662,0.012673822,0.012264058,0.012615641,0.013866882,0.015745701,0.01736071,0.017746223,0.01660646,0.014313844,0.011795755,0.011040069,0.015581843,0.028945483,0.050283294,0.07200726,0.083643496,0.0805048,0.068364225,0.057865318,0.054803405,0.056338176,0.057182927,0.05645008,0.05653212,0.058312166,0.058680933,0.05601959,0.051384926,0.048022565,0.046374336,0.046565264,0.048490454,0.052899256,0.057440937,0.059080344,0.055937186,0.050302118,0.04519118,0.04223044,0.04072608,0.039867494,0.03995527,0.04165566,0.044898856,0.048185762,0.050358076,0.051977936,0.05588153,0.064136885,0.076247655,0.088548936,0.097337,0.10009424,0.0968641,0.09009122,0.08416415,0.082365744,0.0841816,0.086014055,0.08497232,0.08079561,0.074658565,0.06746178,0.060244698,0.05495606,0.053579032,0.056428906,0.06138276,0.06503573,0.06498164,0.061812103,0.05805992,0.05552372,0.052943658,0.04821223,0.040890466,0.03305873,0.026734203,0.02239967,0.019452138,0.017602615,0.017087301,0.018228807,0.020679735,0.024567453,0.030980444,0.0435659,0.06390173,0.08901975,0.108374454,0.113123804,0.101139985,0.081108145,0.062160034,0.04929417,0.04060365,0.03527552,0.035517562,0.044328656,0.059289843,0.07229915,0.07656518,0.071726695,0.06342487,0.056674775,0.05255422,0.04899169,0.043747798,0.036289096,0.027626945,0.0196521,0.013781299,0.010374947,0.008822133,0.00838388,0.008571337,0.009309654,0.010523,0.0122503005,0.01435296,0.01670449,0.018765448,0.019797677,0.019185016,0.017097753,0.014494121,0.012340992,0.011034661,0.010279386,0.009761009,0.009340111,0.009089879,0.009099,0.009408063,0.0099828215,0.010546905,0.010916959,0.011267434,0.0120451525,0.013377037,0.014434431,0.014228699,0.012389041,0.010225817,0.0096962815,0.0121109905,0.016543454,0.020405136,0.021379558,0.019376887,0.016318271,0.014228896,0.013544641,0.013360858,0.0125876805,0.01107924,0.00945142,0.0087058535,0.009319245,0.011217863,0.013896793,0.01700759,0.020309223,0.023078494,0.024403207,0.023449823,0.02076033,0.017378155,0.014739224,0.01335565,0.013356323,0.014020738,0.014474891,0.013963473,0.012845549,0.012227077,0.012828082,0.013941302,0.014086771,0.012685801,0.010766555,0.009850357,0.010406047,0.011399326,0.011681628,0.010983772,0.010237602,0.010142542,0.010630154,0.010772005,0.010043394,0.008885617,0.008768781,0.011347833,0.01711366,0.024704397,0.031057522,0.033832032,0.032973472,0.031310603,0.031784073,0.035460424,0.040575285,0.04447479,0.045599323,0.044270266,0.042253673,0.040714156,0.03977118,0.037905008,0.034370378,0.02943218,0.02514488,0.02284,0.022842234,0.02380429,0.024378344,0.023826748,0.02245397,0.021086453,0.02029143,0.020150697,0.020704875,0.022624316,0.02722595,0.03463553,0.042993445,0.049004834,0.051010832,0.04962269,0.046765193,0.043578457,0.04103804,0.041074652,0.046157967,0.056961227,0.069752164,0.0781287,0.07631767,0.06427837,0.046759408,0.030680237,0.019684313,0.014156231,0.012756713,0.015676266,0.023969354,0.03655824,0.048971612,0.055769216,0.056561336,0.05569245,0.057669997,0.06101665,0.06101763,0.05606531,0.050346985,0.049071934,0.052939594,0.059543848,0.06757708,0.07782248,0.08882446,0.09633833,0.097519904,0.09551022,0.09504428,0.09699752,0.097291656,0.09352654,0.08721486,0.08100765,0.075204976,0.069475405,0.0652915,0.06399976,0.06392732,0.061356667,0.05489874,0.047681633,0.0446409,0.049166318,0.059990775,0.07281678,0.0819838,0.08517092,0.082928725,0.07835248,0.07358706,0.070146345,0.06826504,0.06813052,0.06971475,0.07283527,0.076787926,0.08036849,0.08337966,0.085719325,0.087280504,0.08635502,0.08253575,0.0768016,0.07215335,0.06968206,0.06848079,0.06538033,0.059450958,0.05205801,0.046729144,0.04446737,0.044733394,0.04638057,0.05192447,0.06341528,0.08205629,0.10276517,0.12194998,0.13381349,0.13825828,0.13254632,0.120349735,0.10387983,0.08957806,0.07828542,0.07005421,0.061834287,0.054208398,0.050010633,0.053710926,0.06534385,0.07972362,0.089583755,0.09319284,0.09501219,0.099187165,0.10335183,0.10000173,0.08663685,0.068236254,0.05474035,0.050734416,0.05399974,0.057231814,0.054939855,0.046790857,0.036675666,0.029107722,0.025624136,0.026451953,0.033802938,0.0529729,0.088668525,0.13665585,0.18291529,0.2090659,0.20757008,0.1857578,0.15926386,0.13776504,0.12086987,0.10617886,0.09440204,0.08932364,0.08985764,0.092134684,0.09096966,0.08473065,0.07436345,0.065105155,0.06405602,0.07360044,0.0877131,0.0946317,0.09038674,0.07918352,0.07003654,0.06340386,0.05615029,0.04483305,0.03355796,0.027295232,0.028424978,0.033441916,0.037421983,0.037699085,0.035139855,0.031923857,0.02906704,0.02612465,0.023201898,0.021499872,0.023254767,0.028890407,0.03658261,0.042149868,0.04222015,0.036733966,0.029380085,0.024914779,0.025016105,0.027772257,0.029759636,0.02937481,0.02695457,0.023379283,0.019161176,0.014915046,0.011779346,0.010655013,0.011323045,0.012638089,0.013308931,0.013104338,0.012797189,0.013794395,0.016308373,0.019018544,0.019568754,0.017138554,0.012985926,0.009550687,0.008128841,0.008529581,0.010390121,0.01413202,0.021242013,0.03257076,0.0479728,0.06414943,0.0761356,0.07847934,0.070732385,0.05711523,0.044616014,0.036719535,0.03269514,0.029737972,0.026663288,0.024464333,0.024147956,0.025310794,0.026548991,0.026975872,0.026971033,0.02707234,0.027590513,0.028562577,0.030661626,0.03423941,0.038119763,0.039859697,0.038270112,0.035546396,0.035145734,0.038160253,0.041228402,0.040037703,0.033060975,0.023151042,0.015159694,0.013366044,0.020325985,0.03547652,0.054991763,0.072242804,0.08190798,0.08290414,0.0783306,0.07255701,0.06720459,0.061611846,0.053372785,0.04241945,0.03052307,0.02125561,0.016528761,0.016261375,0.018652722,0.021613613,0.023623856,0.023764841,0.022404365,0.020510115,0.019256925,0.018768081,0.01836781,0.017055802,0.014553819,0.011645851,0.009934648,0.010413095,0.012785648,0.015411124,0.01748646,0.01923164,0.02149801,0.023611913,0.024144106,0.022468053,0.020094134,0.019635366,0.022944229,0.030184105,0.039548278,0.047699306,0.050953016,0.047452267,0.038620405,0.02832667,0.020737728,0.01812503,0.020527968,0.025750875,0.030895615,0.033203647,0.031947885,0.028102288,0.024370993,0.02320189,0.02636834,0.032990698,0.03996261,0.042364597,0.037835848,0.028246755,0.019563274,0.01663634,0.020513324,0.028532356,0.03734197,0.044571996,0.048285324,0.047311794,0.041870434,0.03486969,0.02988827,0.028892107,0.031121781,0.03502743,0.040636454,0.048107624,0.05584814,0.058975052,0.05429135,0.04265978,0.029600993,0.0195882,0.013857398,0.010635294,0.008502117,0.008034659,0.010978353,0.018936917,0.03012477,0.040251356,0.04334112,0.038283605,0.028498845,0.02112475,0.01936181,0.022575296,0.02687982,0.030840272,0.034122095,0.03714004,0.0378337,0.034867156,0.028187111,0.020800998,0.015498258,0.0139233405,0.015052711,0.016745443,0.016769178,0.01467992,0.01168198,0.009645657,0.009287715,0.009882092,0.01013761,0.009351941,0.007825409,0.0062342235,0.005149715,0.0046833255,0.004826531,0.005531726,0.0067441836,0.008328965,0.010301643,0.013143257,0.017249396,0.022177406,0.02600356,0.026753014,0.023702798,0.018340537,0.013110328,0.010521512,0.012287567,0.018675337,0.027435571,0.03408726,0.03459178,0.028711652,0.020288417,0.014534517,0.013820398,0.016983867,0.020301258,0.021277517,0.019715423,0.018242128,0.018895933,0.02185437,0.024619205,0.02504241,0.022434691,0.018074246,0.013431564,0.009603626,0.007128482,0.0062116818,0.0067671905,0.008389909,0.010841373,0.0140677355,0.01782157,0.021269092,0.023226896,0.023603506,0.023164287,0.022895897,0.022182057,0.019938767,0.015768446,0.010939269,0.0070064366,0.004582261,0.0033091446,0.0026542686,0.002624729,0.0033392713,0.004760396,0.006249405,0.0071874703,0.0070898593,0.00627916,0.0053453906,0.005033784,0.0055614575,0.0068438663,0.008658498,0.010668591,0.012487709,0.013622106,0.014326948,0.015063733,0.016305808,0.017452879,0.018184468,0.018295957,0.018304875,0.017722746,0.016362246,0.014100131,0.012074792,0.01069915,0.009968255,0.00905308,0.007856925,0.00662599,0.005917465,0.0059105903,0.0065409276,0.0076172277,0.008797492,0.00994273,0.011075971,0.012684543,0.014825103,0.017127907,0.018806608,0.020074232,0.02174666,0.02440708,0.026733696,0.02687758,0.024171755,0.021010108,0.020438524,0.024329938,0.030625114,0.03613567,0.037658945,0.035527922,0.03131671,0.027228957,0.023468755,0.019634089,0.015598822,0.012312097,0.010841523,0.011169742,0.012208597,0.012800436,0.012652225,0.0123425545,0.012300651,0.01244432,0.012265857,0.011723354,0.011151124,0.011177827,0.012121327,0.014225411,0.01713083,0.019953394,0.021374593,0.020959267,0.019605564,0.018642703,0.018545354,0.018503143,0.018086897,0.017595736,0.017793821,0.018458115,0.019180425,0.02040708,0.023461858,0.028540606,0.033558924,0.035862636,0.03520145,0.033912238,0.033992846,0.03438877,0.032397736,0.0271221,0.020853609,0.016741896,0.015715076,0.016108265,0.015753426,0.014038184,0.01209629,0.011464563,0.012741539,0.015175256,0.017183611,0.017610932,0.01633306,0.014566465,0.013507434,0.013719927,0.014434975,0.014882341,0.014921862,0.015513415,0.017520824,0.020876454,0.024198981,0.02621445,0.027348896,0.030691793,0.0394775,0.053324062,0.066682376,0.072527796,0.06843106,0.057927888,0.04694591,0.038424104,0.031757616,0.025429815,0.019425854,0.0151110515,0.013202711,0.013195553,0.01362477,0.013576343,0.012924806,0.012116793,0.011556081,0.01144072,0.011995698,0.013258508,0.015148004,0.017196164,0.018946104,0.019993046,0.02038905,0.020575032,0.02116137,0.0223257,0.023762427,0.025240019,0.027289579,0.030618379,0.03513738,0.039330088,0.041817665,0.042209137,0.0413583,0.03964177,0.03729172,0.034868583,0.03452487,0.038066432,0.04595992,0.055827867,0.06480151,0.07065651,0.07291442,0.07181312,0.06689081,0.058456633,0.04738653,0.036868118,0.029308371,0.026384398,0.027631214,0.0319297,0.037898567,0.044112608,0.049690038,0.053358,0.054660216,0.052837014,0.04917747,0.04493315,0.04233397,0.04124774,0.04133678,0.041267157,0.04126076,0.041364264,0.04164131,0.041284755,0.03973533,0.037139297,0.034023687,0.03103354,0.028397271,0.026629219,0.02586049,0.02585858,0.025649464,0.024769604,0.02383878,0.024358539,0.027544787,0.0336982,0.04203431,0.051291898,0.059719037,0.06705316,0.073905796,0.08189889,0.09019948,0.09591482,0.095307715,0.08724531,0.07512226,0.06424471,0.058816552,0.057962064,0.058244828,0.05617784,0.051247578,0.044743866,0.03854714,0.034142356,0.032499325,0.0343975,0.04024754,0.049934883,0.060917307,0.06883192,0.06927162,0.06246757,0.052625176,0.04559155,0.04363622,0.045986366,0.04903665,0.04978371,0.04585454,0.038772617,0.032408293,0.033323705,0.046045125,0.07212858,0.10629425,0.13821547,0.15610434,0.15407158,0.1350907,0.10818214,0.082323335,0.062399164,0.048594613,0.03953804,0.034395695,0.036476254,0.05394006,0.098178804,0.17539388,0.27111807,0.35002646,0.3701819,0.31953672,0.22236745,0.12575291,0.060996313,0.033808436,0.030556738,0.037254006,0.04515404,0.050175454,0.050631624,0.04707952,0.042227346,0.039656255,0.042260665,0.050022524,0.0598352,0.06684446,0.068983905,0.067745216,0.067403845,0.070533626,0.07762318,0.08602277,0.0927623,0.094548285,0.091426454,0.084656425,0.07772207,0.0715692,0.067011885,0.06173182,0.054910924,0.045849517,0.03838476,0.03589278,0.04061006,0.04932864,0.057765096,0.06177217,0.060018405,0.052651074,0.04183018,0.031679355,0.02749425,0.032615457,0.04729862,0.0676032,0.08922484,0.106284805,0.115512736,0.11381865,0.10314693,0.0874624,0.07522581,0.0727177,0.0808515,0.09178656,0.09584544,0.08995073,0.07922817,0.07072847,0.065903895,0.061550107,0.05404334,0.043522,0.03296089,0.027965276,0.032743853,0.04972735,0.07302237,0.09362259,0.09978783,0.0903284,0.070486255,0.052806556,0.04309733,0.042162705,0.044305608,0.04570533,0.044485856,0.041945625,0.040602315,0.04258473,0.04803275,0.05376406,0.05614691,0.05349334,0.047686238,0.041365754,0.036006123,0.03115879,0.026204078,0.021483643,0.018771464,0.020538656,0.027469477,0.03747115,0.04591462,0.050556317,0.05180946,0.0518859,0.050100327,0.04531628,0.038150173,0.032142762,0.030389274,0.032982174,0.039207846,0.04713854,0.055532824,0.06150684,0.06574459,0.0696703,0.0747225,0.07719426,0.07384255,0.06595148,0.059351664,0.058159094,0.060258817,0.061971635,0.061605047,0.061487153,0.06243078,0.06289563,0.05989927,0.05359756,0.046684977,0.042170007,0.04034121,0.04071868,0.04324765,0.04824786,0.053541318,0.05546763,0.0520628,0.045019623,0.037784953,0.03212371,0.028786846,0.028228099,0.031360023,0.036822755,0.042223867,0.046205033,0.050991282,0.058507603,0.06746602,0.07176992,0.06772374,0.05699488,0.048462678,0.049088385,0.05940138,0.07145309,0.07720586,0.07463109,0.067690685,0.06063236,0.053779062,0.04631241,0.038775075,0.033377796,0.0309754,0.03062278,0.030776838,0.030649805,0.030278312,0.030136077,0.030720674,0.032393027,0.03539446,0.040004537,0.045268554,0.048829127,0.047380194,0.0404253,0.030517424,0.022509476,0.019678041,0.022164641,0.026993355,0.029537344,0.027406476,0.021515945,0.016223505,0.014741148,0.01754701,0.022121226,0.02642603,0.030606417,0.03722689,0.047942564,0.06158188,0.07387981,0.081887305,0.084984936,0.08513648,0.08300182,0.079203315,0.07355302,0.06705957,0.06026702,0.055279236,0.053502273,0.055400725,0.0576839,0.05755276,0.053764448,0.04916935,0.046282377,0.046794515,0.04937747,0.052698106,0.055183034,0.056923028,0.05730076,0.056245137,0.05337174,0.05006784,0.047697127,0.04733583,0.04856528,0.05063564,0.052509848,0.053484257,0.053093344,0.05287927,0.055651367,0.06442306,0.07796014,0.09189118,0.10056741,0.10341925,0.103106074,0.10366103,0.10427151,0.10227609,0.0956082,0.08793188,0.08450204,0.08775974,0.09348234,0.09531353,0.09057995,0.08188666,0.07455175,0.072092876,0.076683275,0.08763287,0.10265285,0.117204525,0.12792583,0.13273533,0.13066714,0.12114569,0.105562754,0.088160485,0.07312123,0.062346008,0.05431815,0.048098084,0.043468807,0.041581716,0.04197104,0.04338953,0.044201415,0.04357725,0.04284693,0.04334559,0.04723559,0.053080454,0.060082268,0.06465729,0.06626922,0.06292891,0.05790903,0.05506416,0.06102544,0.07630721,0.09735752,0.11647906,0.1287051,0.13159357,0.12573083,0.11413536,0.10188923,0.09460627,0.093375176,0.09500164,0.092881896,0.0839875,0.06959707,0.056129705,0.049352795,0.053097535,0.06605093,0.08327419,0.09657565,0.09991179,0.09320849,0.08224463,0.07366985,0.06912411,0.06676624,0.06388197,0.060636565,0.05786432,0.055669304,0.05281395,0.04813984,0.042249307,0.036768302,0.033528715,0.032900248,0.03457336,0.0381552,0.04410174,0.052433252,0.062202156,0.07097826,0.07645617,0.07755898,0.07538108,0.07256306,0.071234636,0.071178705,0.07014375,0.0667164,0.06462196,0.07016482,0.08960354,0.118739046,0.14742236,0.1606167,0.15475897,0.13497451,0.11411539,0.09789867,0.08506415,0.07193864,0.061047047,0.06053235,0.074529335,0.09751856,0.11634799,0.12227718,0.11579899,0.105607264,0.09877863,0.09832405,0.10144454,0.104163505,0.10265556,0.09709117,0.09150348,0.090251796,0.09330813,0.09480021,0.08889463,0.0754996,0.06110157,0.053381097,0.0544344,0.060801774,0.06654716,0.06880567,0.06700856,0.062421482,0.057013433,0.05513197,0.059931446,0.07055182,0.08018952,0.0836789,0.0798611,0.07301304,0.06616524,0.061844233,0.061457317,0.065835536,0.072995275,0.0773646,0.07521396,0.06670536,0.05840649,0.05704118,0.066623114,0.08411843,0.10131564,0.10924559,0.104090214,0.09012065,0.075642034,0.067441754,0.0661212,0.06785423,0.06811815,0.06668355,0.067198604,0.0743547,0.08791893,0.10468665,0.120010674,0.13321,0.141975,0.14424647,0.13669147,0.12256531,0.10710558,0.09565514,0.08784336,0.08216249,0.07706206,0.07301292,0.06931341,0.06651711,0.0662585,0.07250219,0.08541896,0.10071651,0.11181969,0.11764289,0.12561285,0.1443352,0.17808835,0.21659918,0.24568732,0.24834059,0.22439861,0.18250293,0.14262398,0.11534288,0.10501874,0.10454441,0.107637145,0.10953104,0.11550123,0.13638498,0.18031846,0.2404625,0.29516992,0.323483,0.31679225,0.28211227,0.23138009,0.17871358,0.13537067,0.11015312,0.1019654,0.10509851,0.11173438,0.12221704,0.13985284,0.16626652,0.19339119,0.2071401,0.199769,0.17613745,0.1526521,0.14088073,0.14072265,0.14027306,0.12975413,0.110444,0.094072275,0.09101921,0.10096959,0.113548316,0.11829054,0.11149474,0.098027654,0.085766815,0.08115619,0.08484449,0.09243355,0.09704852,0.09413088,0.08361211,0.07070305,0.06231233,0.06342269,0.073099114,0.08620179,0.09710837,0.10345661,0.10516545,0.102230065,0.0954423,0.08861551,0.08876887,0.09921038,0.116524376,0.13078047,0.1356385,0.13005215,0.12023052,0.11053661,0.10357476,0.09603143,0.08693152,0.0765789,0.07056644,0.071037,0.07894271,0.09016025,0.102754794,0.11179306,0.11572822,0.11221552,0.10641391,0.101246454,0.099789865,0.098063745,0.09608228,0.09601605,0.10385319,0.11899813,0.13561536,0.14512326,0.14561646,0.14057721,0.13652329,0.13516481,0.13534491,0.13420086,0.13185225,0.12888475,0.12588218,0.12241453,0.11898362,0.11658936,0.11586436,0.11705964,0.11912217,0.12031039,0.11697614,0.10835122,0.09590635,0.08388096,0.07373793,0.06601951,0.060698997,0.059676707,0.06439797,0.075464986,0.09034028,0.10490614,0.11339108,0.11469061,0.11141178,0.11013004,0.11271623,0.1170697,0.11774475,0.11246898,0.10307204,0.094548345,0.09323727,0.102982394,0.12314912,0.14511316,0.15778357,0.15504666,0.14244968,0.13265546,0.13420373,0.14676021,0.16269016,0.17644633,0.18397087,0.18418175,0.1757186,0.16189428,0.14717694,0.13654162,0.13041787,0.12894005,0.13161103,0.1381033,0.14617123,0.15316826,0.15909787,0.16417372,0.1690415,0.17153843,0.16972856,0.16024458,0.14090544,0.11368785,0.08541924,0.065034024,0.055989597,0.056266308,0.060252976,0.06417802,0.06657571,0.068170816,0.06991163,0.07287095,0.07614901,0.07836881,0.07707184,0.07297447,0.06835078,0.066679925,0.06863756,0.0724056,0.07525126,0.07479554,0.071570635,0.06882336,0.07443284,0.093439154,0.12522753,0.15821391,0.18114866,0.1874445,0.18165529,0.16986626,0.1568368,0.14338,0.13211985,0.12615156,0.12705278,0.12982042,0.12828685,0.11791549,0.101599164,0.083972804,0.07020614,0.061533798,0.0585794,0.060725678,0.06759944,0.07629221,0.08378184,0.08787995,0.09129462,0.098068714,0.11072123,0.12664863,0.14024669,0.14825697,0.15085393,0.15320288,0.15831332,0.16755567,0.17784232,0.18739949,0.19620955,0.2042556,0.20980795,0.20645142,0.19109912,0.1635122,0.13137345,0.102891296,0.08653528,0.08569556,0.0987416,0.11914187,0.13877046,0.15159146,0.1541818,0.14590631,0.12888068,0.10915127,0.09450344,0.090420574,0.09651988,0.10840735,0.12210461,0.13823618,0.15906584,0.18441696,0.20634443,0.21519716,0.20464145,0.18063392,0.15378457,0.13447502,0.12220157,0.11396796,0.106332846,0.10303607,0.10488123,0.11148945,0.11773189,0.124811985,0.13478641,0.15048987,0.16671444,0.17696513,0.17707439,0.16817258,0.15414701,0.1370888,0.12094879,0.10941418,0.10902443,0.119522095,0.13658942,0.14897136,0.15303619,0.14847952,0.14249699,0.13546748,0.12894201,0.12193794,0.12001263,0.12768169,0.1475455,0.17502302,0.19942985,0.2103708,0.20209318,0.17943203,0.15083368,0.12563433,0.10729293,0.09717666,0.09489923,0.09975504,0.108314954,0.1140416,0.11119775,0.098117985,0.08003827,0.0640296,0.055522036,0.05408126,0.05666882,0.058918316,0.058547962,0.053825054,0.045779806,0.036075864,0.027815977,0.022188768,0.019594265,0.019138632,0.02015721,0.021930331,0.024101311,0.026384024,0.028535308,0.029667234,0.029217094,0.026828965,0.023400329,0.01982372,0.017125595,0.01602702,0.016967565,0.02011657,0.024172643,0.028701162,0.034992445,0.048002344,0.069970764,0.09605032,0.11325648,0.11080559,0.08925825,0.06183957,0.045011204,0.04736036,0.06450214,0.082898736,0.08890629,0.078113616,0.056598336,0.037316892,0.03174637,0.046420943,0.077450134,0.11202977,0.13210836,0.1287447,0.108011,0.08799165,0.08213747,0.08942941,0.09738201,0.09545141,0.0854809,0.0770367,0.07774893,0.08550436,0.095088325,0.10280058,0.10804764,0.10698014,0.096078925,0.07735239,0.06237705,0.061943036,0.07767457,0.0996658,0.116284646,0.122165196,0.12063012,0.11976111,0.12438109,0.13223074,0.1343417,0.12497169,0.106473945,0.08896757,0.08015108,0.082353175,0.09122237,0.102213554,0.10913948,0.108430974,0.09928884,0.08967345,0.0919925,0.113672465,0.14697711,0.1719334,0.17473294,0.16024761,0.14639191,0.14384604,0.1471082,0.14645337,0.14171137,0.14067556,0.14432633,0.14252156,0.12687053,0.10275481,0.08551706,0.08355405,0.09030446,0.09263111,0.08401588,0.06922402,0.056317955,0.04963279,0.047994837,0.048665013,0.04952952,0.049378503,0.047471922,0.04345402,0.037203286,0.029074466,0.020466266,0.014503683,0.014720651,0.02281938,0.036653128,0.05132842,0.062770486,0.07008743,0.074390166,0.07510831,0.07006156,0.058082134,0.041936334,0.026660733,0.016693987,0.01401531,0.017944442,0.026546314,0.03734526,0.048714194,0.058696926,0.06513848,0.06634853,0.06376242,0.06129974,0.06250532,0.06718371,0.072513945,0.07598405,0.07745842,0.07779532,0.07658026,0.07244405,0.064345226,0.053887915,0.043555062,0.035836358,0.0307336,0.027183628,0.023403622,0.018917372,0.014027304,0.009764877,0.0066526667,0.004889238,0.004488883,0.006091416,0.010450554,0.01807859,0.028060222,0.039066125,0.049427424,0.058568954,0.0654263,0.06948644,0.07040442,0.0704946,0.071054526,0.071477816,0.06683519,0.05558483,0.04078373,0.030551143,0.028568208,0.033474833,0.04056346,0.04920381,0.06140552,0.07876569,0.09674155,0.107892126,0.10570406,0.09071234,0.06883093,0.04810503,0.03346207,0.025312813,0.021057673,0.017740402,0.014984283,0.015144224,0.022494232,0.038421214,0.059586067,0.07728986,0.08435982,0.07807311,0.06260621,0.043669492,0.026676744,0.013933986,0.006121577,0.0021846972,0.00071090873,0.00031416529,0.00039072256,0.00121346,0.00420622,0.0110808695,0.022382444,0.035147224,0.04435903,0.045779686,0.04023943,0.03188881,0.02569375,0.02386556,0.026615927,0.032284554,0.03826737,0.042074542,0.043309446,0.043915328,0.046296354,0.050049454,0.05251776,0.050246164,0.043977942,0.0370324,0.033688728,0.033764347,0.034963045,0.035107415,0.034896906,0.035001844,0.034625914,0.03202957,0.027804501,0.024401652,0.024244428,0.02631175,0.027840072,0.025927508,0.020733643,0.01395268,0.00888004,0.008848995,0.018906308,0.042341266,0.0785049,0.11779352,0.14762257,0.15757675,0.14868774,0.12934147,0.111325316,0.10135513,0.10163662,0.11008247,0.123676956,0.13763154,0.14680351,0.14577551,0.13261819,0.10990757,0.08433992,0.062857345,0.048829373,0.04246804,0.041612815,0.04438341,0.048015077,0.050725713,0.05246934,0.05525948,0.059824515,0.06301399,0.060391176,0.05054957,0.03760032,0.027002374,0.021738907,0.020502316,0.020633446,0.02017991,0.019193664,0.01842434,0.018672017,0.019985877,0.022400452,0.025875926,0.030408343,0.03534189,0.039736778,0.04253599,0.043345723,0.042443026,0.04119693,0.041095193,0.042454045,0.043466557,0.04153496,0.036689993,0.03240023,0.034059074,0.043364216,0.057958156,0.07224425,0.083125114,0.08942282,0.09167836,0.08922949,0.0818884,0.071241625,0.060838338,0.055002872,0.055543393,0.061753422,0.069012016,0.07296174,0.07028839,0.06291645,0.05467917,0.050451737,0.050737698,0.053094495,0.052671406,0.047250707,0.03749607,0.026925983,0.018377984,0.0132121965,0.010776953,0.009899788,0.009931542,0.012015556,0.019786017,0.03666626,0.06285993,0.09078148,0.10977911,0.11044208,0.09379718,0.06763429,0.044049382,0.031403903,0.03424463,0.052521218,0.07996632,0.105658196,0.11628654,0.10828054,0.08851575,0.07156247,0.064875536,0.06689269,0.07028451,0.072202,0.07421023,0.078706525,0.084596634,0.08835402,0.08798817,0.08343911,0.077018954,0.069838546,0.06290488,0.056045894,0.05008921,0.045592785,0.043316882,0.043646466,0.04858175,0.060364056,0.08006517,0.10410249,0.12684456,0.14291291,0.15039445,0.14886428,0.13857873,0.121189736,0.102023326,0.08999456,0.09183896,0.10660595,0.12373737,0.13035382,0.11929356,0.09377438,0.063457474,0.03791137,0.02167511,0.014086637,0.012155545,0.013337586,0.016700411,0.022646999,0.03157438,0.043037433,0.05418023,0.06128336,0.06105635,0.054022778,0.043051418,0.032269504,0.023623819,0.017758027,0.013935097,0.011680458,0.010322883,0.009657487,0.009622735,0.010236196,0.011089671,0.011610833,0.011692117,0.011837986,0.01263086,0.013841406,0.014634178,0.014293554,0.013163827,0.012440546,0.0130350245,0.014717177,0.016172042,0.016689053,0.016689869,0.017263422,0.018520884,0.019645572,0.020024061,0.019967772,0.019990243,0.01975116,0.018447207,0.016017718,0.013499006,0.012051093,0.011957549,0.012696415,0.0140906,0.016625522,0.021460684,0.028759142,0.037040677,0.042926434,0.04356268,0.03872637,0.031178573,0.02437476,0.019934347,0.017565692,0.016457766,0.016759517,0.01894866,0.022627605,0.026137358,0.027857454,0.028056644,0.028033016,0.028715437,0.028718097,0.027815677,0.0286306,0.03795068,0.0583903,0.08481318,0.10312981,0.10376095,0.08776275,0.06829772,0.05660535,0.055355627,0.057865042,0.057832573,0.054369356,0.051526885,0.05312781,0.05899575,0.06530409,0.0668551,0.06076132,0.04785855,0.032598965,0.020110453,0.013741616,0.013383605,0.01640369,0.019495083,0.02149055,0.024055809,0.029635755,0.038114294,0.04545107,0.04758243,0.043726336,0.03828017,0.036072385,0.039425407,0.045651082,0.050373938,0.050418243,0.046414066,0.04142159,0.038027342,0.036590528,0.03588775,0.035740364,0.037686005,0.043992683,0.053886767,0.06332631,0.06655548,0.062686004,0.0554577,0.05099598,0.050734058,0.05238026,0.052495886,0.05015424,0.046391737,0.042470068,0.039614405,0.038282946,0.03933945,0.043820515,0.053099256,0.06598377,0.07819715,0.08485932,0.0850615,0.08151298,0.077268004,0.07345176,0.07170743,0.07398016,0.08016495,0.08575278,0.08639132,0.08196556,0.076200224,0.07145835,0.06684498,0.060542215,0.052559312,0.044223767,0.036615264,0.030576296,0.027902775,0.03067915,0.038427737,0.04670153,0.049408626,0.04405862,0.03343038,0.02342427,0.01789808,0.017485054,0.020971796,0.028471624,0.040947985,0.057590317,0.0736225,0.082452744,0.080414556,0.06988056,0.05724448,0.048493445,0.04470383,0.043410618,0.04184505,0.04222149,0.04865573,0.062516116,0.07761183,0.08602708,0.08509785,0.07963177,0.07576915,0.074618615,0.07375604,0.07207451,0.07242123,0.0783867,0.08851973,0.09741665,0.09715565,0.08578361,0.06528273,0.043203313,0.024728695,0.0134692015,0.01196524,0.026828835,0.071318544,0.15263663,0.2645306,0.3755914,0.45293853,0.4738901,0.44698206,0.39193642,0.3300958,0.26702824,0.20435955,0.14525704,0.09910811,0.071373224,0.059162963,0.05387239,0.049807295,0.047403634,0.052047834,0.06966814,0.10301584,0.14469928,0.17849384,0.18685786,0.16739394,0.13167353,0.09838283,0.0788452,0.08124822,0.10840873,0.15567583,0.20451094,0.23292397,0.23115134,0.20532177,0.16890854,0.1316468,0.100623764,0.08209396,0.07848063,0.08553962,0.092314534,0.092403196,0.08524159,0.07849086,0.07503998,0.07403322,0.06942288,0.06294545,0.062045854,0.07456357,0.09794704,0.119854,0.12950884,0.12398612,0.11000586,0.09462268,0.08208501,0.07235817,0.06369789,0.055768177,0.048650477,0.04377535,0.04057813,0.038799036,0.038141355,0.040180907,0.045835946,0.053768504,0.0612181,0.067835234,0.078960784,0.09947276,0.12778336,0.15308708,0.16763115,0.17097645,0.16935624,0.16293569,0.14921175,0.12835766,0.11074575,0.10851145,0.124253295,0.14835913,0.16374664,0.16499035,0.15787531,0.16145706,0.18100142,0.21106464,0.22815682,0.22147973,0.1894297,0.1503361,0.11745646,0.09984869,0.092716224,0.08963246,0.08465937,0.07720864,0.070052505,0.06753355,0.07450495,0.09443522,0.12571974,0.16006182,0.1848231,0.19416587,0.19542523,0.20808637,0.24692015,0.30614015,0.3568174,0.36788216,0.33174345,0.27095604,0.21717034,0.18673207,0.17351615,0.16413288,0.15246807,0.14600848,0.15808828,0.19696335,0.25401077,0.30410913,0.32000303,0.2929876,0.239278,0.18617497,0.1512451,0.13478363,0.12840915,0.127481,0.13328904,0.14588325,0.15845418,0.16151194,0.15340418,0.14144231,0.13518667,0.13535236,0.13776761,0.13669857,0.13162202,0.1215326,0.10919183,0.099328786,0.1008814,0.11668998,0.14072831,0.16009764,0.16496474,0.15516219,0.13689725,0.11968779,0.110107504,0.113038145,0.12640357,0.14300488,0.1529574,0.15282385,0.14668678,0.14059405,0.13555929,0.12797864,0.116461724,0.10403881,0.09621378,0.09574434,0.10343647,0.1175485,0.13372451,0.14354037,0.13963695,0.12287417,0.10517931,0.10087665,0.1145735,0.13603027,0.1507288,0.15203746,0.14571528,0.13963294,0.13645099,0.13233991,0.12468734,0.1139301,0.10392078,0.09773686,0.09678992,0.09872162,0.09920478,0.095365375,0.08920606,0.08624745,0.09097267,0.10271311,0.11669803,0.12713921,0.13183498,0.13217933,0.13269396,0.13641459,0.14459532,0.15390788,0.160636,0.16062991,0.1550772,0.14790346,0.1474243,0.15948693,0.18606009,0.21699446,0.23678887,0.23116767,0.20371301,0.16978247,0.14865518,0.14599116,0.15745921,0.17118655,0.1790161,0.17499465,0.16004677,0.13705318,0.11387756,0.096586876,0.09083139,0.0957373,0.10769286,0.118498884,0.12235698,0.11566603,0.10226319,0.08884561,0.08417407,0.09279534,0.11435286,0.1414182,0.16307467,0.17052144,0.16380043,0.15082066,0.14117394,0.13916141,0.14286803,0.14762315,0.14829381,0.1436655,0.13584502,0.13218838,0.13733192,0.1508752,0.16396183,0.1677121,0.1578219,0.13862653,0.11748383,0.10136988,0.092988975,0.09261746,0.09748813,0.103025846,0.10391282,0.098771565,0.09287403,0.09583431,0.11301317,0.14057843,0.16629304,0.17976554,0.1765707,0.16101699,0.13943861,0.11926509,0.10452194,0.09846261,0.10090226,0.11112473,0.12489291,0.13892126,0.15009642,0.15904671,0.16745526,0.17811061,0.19450794,0.21757798,0.24643047,0.27475193,0.29980126,0.31696865,0.32507524,0.31763026,0.29529718,0.26153263,0.22757237,0.20027916,0.1832106,0.17382021,0.16766125,0.16061251,0.15078224,0.13879484,0.12602536,0.1131742,0.10187507,0.09358331,0.091427945,0.095661886,0.10683328,0.1227626,0.14347504,0.1646449,0.18123959,0.18457513,0.17301385,0.1498126,0.12571742,0.1101191,0.110226326,0.12522581,0.1472679,0.16417986,0.16780977,0.15825795,0.14238065,0.12759887,0.119252,0.11894035,0.12549484,0.13499838,0.14344017,0.15069829,0.15828633,0.16941349,0.18350725,0.2011025,0.2200238,0.23595987,0.2407846,0.22874384,0.20345668,0.1750202,0.15332402,0.13912824,0.12811938,0.119482994,0.12187743,0.14783102,0.19619544,0.24751376,0.2733996,0.26436886,0.23362409,0.2050514,0.18900485,0.1814918,0.1756515,0.17041184,0.16928041,0.17161138,0.17450114,0.17411381,0.17120846,0.16813082,0.16728224,0.1687278,0.17260773,0.17862433,0.18523826,0.18587755,0.17520793,0.15268193,0.12793201,0.11143734,0.1090147,0.1161578,0.124209605,0.1267582,0.12432324,0.12201191,0.123678505,0.1291985,0.13550521,0.14181797,0.14946638,0.16134246,0.17564069,0.189696,0.20065796,0.21124823,0.22174267,0.22937328,0.2282237,0.21991877,0.21216749,0.21349208,0.22338884,0.23572189,0.24347238,0.2456256,0.24352641,0.23819727,0.22731245,0.20959073,0.18737312,0.16641772,0.15147735,0.14433484,0.14305867,0.14422263,0.14394683,0.14146392,0.13810189,0.13613805,0.13623716,0.13912134,0.14556177,0.15518723,0.16529176,0.17409267,0.18400091,0.1983847,0.21487188,0.22518463,0.2256226,0.22511019,0.23496933,0.25439844,0.26547372,0.25305283,0.21763091,0.17545481,0.14186996,0.12160046,0.11070761,0.10310283,0.10085985,0.11334149,0.15278144,0.21775925,0.28959152,0.33971488,0.35118672,0.32673156,0.28286344,0.23431386,0.189107,0.15266971,0.13308658,0.13957113,0.17500924,0.23037112,0.28499624,0.31760383,0.31836745,0.29488602,0.26221743,0.23367774,0.21469699,0.20808047,0.21434526,0.2314691,0.2548543,0.277812,0.29514432,0.30168784,0.29759887,0.2877878,0.279338,0.27440956,0.2695888,0.26419103,0.2633516,0.27161404,0.2838731,0.28973198,0.29023346,0.2983444,0.32345977,0.34975874,0.34862256,0.30518377,0.23853964,0.18326813,0.15986079,0.16051121,0.16444619,0.16115163,0.15567231,0.1591233,0.17498493,0.19632308,0.2104253,0.20525467,0.17930138,0.14054744,0.10375046,0.07718721,0.06199843,0.05321431,0.047148317,0.04223201,0.03889933,0.037933286,0.039493755,0.04299377,0.048226666,0.056917775,0.07182742,0.092556,0.11291703,0.12383396,0.1209918,0.108635254,0.09593952,0.08972523,0.09100664,0.097321786,0.1062903,0.11711135,0.12849553,0.13770111,0.14055844,0.1358339,0.12552127,0.11495487,0.10961887,0.11568036,0.13783348,0.1727901,0.20783913,0.22649646,0.22498107,0.21325457,0.20673905,0.20932691,0.21538024,0.21640582,0.21333851,0.20796712,0.20197378,0.1889807,0.16944712,0.14761555,0.1344493,0.13388894,0.14448565,0.15895925,0.16959594,0.16959213,0.15702909,0.1373136,0.12190064,0.11936021,0.12918867,0.14127117,0.14548929,0.13914178,0.12731938,0.11727443,0.11115337,0.10765601,0.10338453,0.09853683,0.09386467,0.089985065,0.08437858,0.07482482,0.061426282,0.047259927,0.035868082,0.029945841,0.031668726,0.041246552,0.055134308,0.06522736,0.06510703,0.05451578,0.040746234,0.031550255,0.029843753,0.032473054,0.03492633,0.03637153,0.039499175,0.04654798,0.054724228,0.057969447,0.05355558,0.04727675,0.052524745,0.07883321,0.123008214,0.16452593,0.1811847,0.16324101,0.12461824,0.08823815,0.06977724,0.06599439,0.064098395,0.055966448,0.044469107,0.037794843,0.038988277,0.044843215,0.051226977,0.05911149,0.07119458,0.08569622,0.09534284,0.09588924,0.0937533,0.101213135,0.1240947,0.15144779,0.16488814,0.15172035,0.117754065,0.07910824,0.05120483,0.03779662,0.033920642,0.033320665,0.03336307,0.03483219,0.037070524,0.037863586,0.034467112,0.027643016,0.021258274,0.021145001,0.031309236,0.051591944,0.07579342,0.094688475,0.10119674,0.09579555,0.08441808,0.07369707,0.06639627,0.06397045,0.06846399,0.081418194,0.0996148,0.11528683,0.12137615,0.116568744,0.10392094,0.08803997,0.07185628,0.059343264,0.053104382,0.054052573,0.058898944,0.06528842,0.074930094,0.09239336,0.11844614,0.14652045,0.16855872,0.18164004,0.18900824,0.19270195,0.19164048,0.18447852,0.17409329,0.16454376,0.1558798,0.14581557,0.13269135,0.120789774,0.113930374,0.11431054,0.11920798,0.12570156,0.13227218,0.13729125,0.14102498,0.14203699,0.14410807,0.14802207,0.15631427,0.16427375,0.16882789,0.1661943,0.15889192,0.15271212,0.15335888,0.16162144,0.16961698,0.1680413,0.15222907,0.12855206,0.10936948,0.104620874,0.11583376,0.13543761,0.15397847,0.16430062,0.16515605,0.15853769,0.14841793,0.13887115,0.13333927,0.13278306,0.13470967,0.13404794,0.12780422,0.1170606,0.10687176,0.1011394,0.10078588,0.10365399,0.105931215,0.10457567,0.09846131,0.091580026,0.091014065,0.10266539,0.12527302,0.1483064,0.15941219,0.15266785,0.13487484,0.119267814,0.11587142,0.12506272,0.13865001,0.14915438,0.15424712,0.15917484,0.1672063,0.17671154,0.17912002,0.16945906,0.14909971,0.1261186,0.10674807,0.09277543,0.083271675,0.078531444,0.08009604,0.0875416,0.09807529,0.10995624,0.12386304,0.1405484,0.15629332,0.16489199,0.16235982,0.14983542,0.13167776,0.11187678,0.09436601,0.08146802,0.07413456,0.07018482,0.06825936,0.069292285,0.07683524,0.094417155,0.122344255,0.15691176,0.18846788,0.20664905,0.20451407,0.18597443,0.16265815,0.14857085,0.14870404,0.1569405,0.15994734,0.14987876,0.12870087,0.106930375,0.094500214,0.09800508,0.11643523,0.14172405,0.16093642,0.16600484,0.15904163,0.14858733,0.14034899,0.13464205,0.12947671,0.1250052,0.120253436,0.113551766,0.102178596,0.0881139,0.07680633,0.075410664,0.086162835,0.103717305,0.117313854,0.11841454,0.107330255,0.0921759,0.08264939,0.08289083,0.09096221,0.10211115,0.11348367,0.12497852,0.13674031,0.14807998,0.1569729,0.16235772,0.16237682,0.15689926,0.1477937,0.14129645,0.14197673,0.14902967,0.15494679,0.15293495,0.14295381,0.13199328,0.12744223,0.13123839,0.14003454,0.14888708,0.15442656,0.15438555,0.14887412,0.13914539,0.12843724,0.11854461,0.11116036,0.107154876,0.10742301,0.11176616,0.11849928,0.12516092,0.12929805,0.13047206,0.13170592,0.13656366,0.14551683,0.15278234,0.15124099,0.1382766,0.118177556,0.09988382,0.08964658,0.08984377,0.09629351,0.103233196,0.1051335,0.10231146,0.10108668,0.108560465,0.1275499,0.15374643,0.18348439,0.2113543,0.23367079,0.2434059,0.24518494,0.24680124,0.25787333,0.26913854,0.26805344,0.24544577,0.21054691,0.17622478,0.15234599,0.13875878,0.13183743,0.12729624,0.12295884,0.11928699,0.117835484,0.12069613,0.12667261,0.13427603,0.14065547,0.14641774,0.15305436,0.16289653,0.17398763,0.18109624,0.18068509,0.17665339,0.17757855,0.18589182,0.19298445,0.18601716,0.1624827,0.13248967,0.11170898,0.107691884,0.118692406,0.13617304,0.15176979,0.1596719,0.15818018,0.15028258,0.13952608,0.12824629,0.115462326,0.10197877,0.09041042,0.08474664,0.08615699,0.093087696,0.10189854,0.10935935,0.113837816,0.11626186,0.11887163,0.12399945,0.13273941,0.14315921,0.1511261,0.15167989,0.14503868,0.13425079,0.12431697,0.1158969,0.10953012,0.104677565,0.10301834,0.104633205,0.10945178,0.11481517,0.118174106,0.11797279,0.11686153,0.1180036,0.12187455,0.124323286,0.122002155,0.115907826,0.110797465,0.110637315,0.11560127,0.124321856,0.13494875,0.14697947,0.15771495,0.16399594,0.16190676,0.1516694,0.13678326,0.12450164,0.12064741,0.12701884,0.13940348,0.15143164,0.15889204,0.16232912,0.16460311,0.16712259,0.16751398,0.16266967,0.15232098,0.14123653,0.13381948,0.13122122,0.12903224,0.12430209,0.11643251,0.11017417,0.10984084,0.120062865,0.13944592,0.16280884,0.17941125,0.18418616,0.17787997,0.16934007,0.1638423,0.16329677,0.16391118,0.16372912,0.16146845,0.15920196,0.15757635,0.15801634,0.15879188,0.15953505,0.15680553,0.15058829,0.1401381,0.13124165,0.12730701,0.13338135,0.14728235,0.16674727,0.18308873,0.18946712,0.17993759,0.1591018,0.13552596,0.118503906,0.109055094,0.10514783,0.103909515,0.10567599,0.10985283,0.11491241,0.118011884,0.117780946,0.11438631,0.1102828,0.10890275,0.112148575,0.118249394,0.12193223,0.11948642,0.111334264,0.102097385,0.09622586,0.09481148,0.09635811,0.09763842,0.09763711,0.096363746,0.096157484,0.09842399,0.103791535,0.11142781,0.120978676,0.13378419,0.15217276,0.17628036,0.20086326,0.21682435,0.21718688,0.20352913,0.18343526,0.16562308,0.15233517,0.14410879,0.13952069,0.13877322,0.13814926,0.1340911,0.1258709,0.11806508,0.11653737,0.122725196,0.13424039,0.14617182,0.15587473,0.1616288,0.16370732,0.16139314,0.15575357,0.14881106,0.14443061,0.14367436,0.14427443,0.14211018,0.13576452,0.12771226,0.122355066,0.12347406,0.13253035,0.15040934,0.17460237,0.19965619,0.21366389,0.20838432,0.1830889,0.14963539,0.12118498,0.105660714,0.10314115,0.110605024,0.12693255,0.14870161,0.1707759,0.18298985,0.1806286,0.16483562,0.1456989,0.13212608,0.1275543,0.12827812,0.1283177,0.1264612,0.12531048,0.13005073,0.14008044,0.1506363,0.15369429,0.14683829,0.13421704,0.12393591,0.121323556,0.12526041,0.13362373,0.1443477,0.15849029,0.17277914,0.18330705,0.18651678,0.18538065,0.18602143,0.19220042,0.20319189,0.2147357,0.22497845,0.23431696,0.24508934,0.25915265,0.27545938,0.2899046,0.29511777,0.28746453,0.26827222,0.24479793,0.22282647,0.20618011,0.19619478,0.19297908,0.19435066,0.19484991,0.1917304,0.18593872,0.18227284,0.18214916,0.18387283,0.1859833,0.18946499,0.19804285,0.21325122,0.23765673,0.26655763,0.29325113,0.30485108,0.30252776,0.29212198,0.28416932,0.27407184,0.25665382,0.23177905,0.21023566,0.20136379,0.20614147,0.2204187,0.23837821,0.2556006,0.26585338,0.2642351,0.24840951,0.22349073,0.19858688,0.18421082,0.18378656,0.19410795,0.2053275,0.20924605,0.20183234,0.18724547,0.17212738,0.16444951,0.169048,0.19073425,0.22393608,0.25410345,0.25745457,0.22691037,0.1743566,0.1292342,0.11159257,0.12639074,0.16367485,0.21019237,0.25442973,0.2861373,0.29750314,0.28539708,0.25800654,0.22954898,0.21083689,0.19837911,0.18322976,0.16168994,0.1404965,0.12569858,0.11514702,0.10264333,0.08614623,0.071280204,0.064413466,0.06932583,0.08409486,0.10341355,0.11766615,0.1192014,0.10503215,0.082326055,0.06256927,0.059212137,0.076758526,0.11019985,0.14424963,0.16874124,0.18358302,0.19725245,0.21071774,0.21555205,0.20319156,0.17761166,0.151831,0.13660577,0.13412271,0.1419764,0.15674418,0.17260659,0.18276851,0.18287319,0.17633812,0.16687007,0.15703529,0.1458446,0.13735728,0.13572252,0.14249392,0.15248121,0.1603672,0.1651497,0.1674966,0.16773604,0.163245,0.1551034,0.14616491,0.13989271,0.13560425,0.12875879,0.116417445,0.09925749,0.0860911,0.08490925,0.098518245,0.11801201,0.1333034,0.139421,0.13963406,0.1362226,0.1294576,0.118124574,0.106046386,0.09625452,0.09163798,0.08947448,0.08881017,0.08757454,0.088886075,0.09556031,0.1104556,0.12903954,0.14305031,0.14560379,0.13935043,0.13309294,0.13421232,0.14111988,0.14682955,0.1453504,0.13699432,0.12763973,0.12397515,0.13009603,0.14287256,0.15585612,0.16179007,0.15992342,0.15228856,0.14264064,0.13128234,0.118567586,0.10418107,0.088983886,0.07326154,0.058465704,0.04686172,0.040545654,0.039460763,0.04144962,0.044515345,0.04821378,0.052980844,0.058238074,0.06254512,0.06567962,0.07033966,0.07873701,0.090210855,0.099018134,0.101736456,0.09834858,0.09458231,0.09361232,0.095556565,0.09622339,0.09297517,0.08649089,0.08052076,0.07870474,0.08218982,0.08972112,0.09840551,0.10497431,0.10779581,0.10769584,0.10733584,0.109090745,0.11429448,0.124035574,0.13596909,0.14502394,0.14317515,0.12881549,0.10599839,0.0836158,0.066190116,0.054038066,0.044511665,0.03649658,0.030283144,0.026786461,0.025986731,0.027480347,0.030343482,0.034091797,0.038231354,0.042622555,0.04693607,0.05048156,0.05297036,0.054127302,0.054601353,0.054108385,0.05288148,0.050618827,0.047649097,0.04384884,0.039341986,0.035233434,0.032701988,0.032112937,0.031392667,0.028487697,0.022895345,0.016634323,0.011945944,0.009768423,0.009460813,0.009910663,0.010321542,0.010461389,0.010462345,0.010657574,0.011207971,0.012099561,0.013079405,0.014025372,0.014930383,0.015968995,0.017169552,0.01831609,0.019018963,0.01901489,0.01846873,0.017796988,0.017460115,0.017554732,0.018009255,0.018608965,0.019275405,0.019778842,0.019835703,0.019171132,0.017900115,0.016512549,0.01549231,0.01510691,0.01522415,0.01568648,0.016177839,0.016462835,0.016311586,0.015801087,0.015266764,0.015137278,0.015648326,0.016586566,0.017456295,0.017784711,0.017592771,0.017283438,0.017232528,0.017319957,0.01710841,0.01637962,0.015442505,0.014844541,0.014794376,0.015019466,0.015088212,0.014861647,0.014539872,0.014413175,0.014583117,0.014935969,0.015213177,0.015246268,0.015020917,0.014756755,0.014619776,0.01459822,0.014488536,0.014160032,0.013717503,0.013587352,0.014462505,0.017205229,0.021855617,0.027689612,0.033283036,0.03871924,0.044644583,0.052010387,0.059820186,0.06691614,0.072293855,0.07681054,0.082729906,0.09332144,0.1096817,0.12809734,0.14144744,0.14462495,0.13851579,0.12796709,0.118408106,0.11397635,0.11704552,0.12607117,0.13471891,0.13679747,0.13109316,0.122161895,0.11378336,0.105623506,0.09536483,0.08369237,0.07661531,0.08133679,0.100554265,0.12769918,0.1489479,0.15265094,0.13704845,0.112398155,0.0911187,0.08106326,0.08172082,0.089682646,0.10123116,0.11354568,0.1232088,0.12624227,0.1213488,0.10985616,0.09617308,0.083037145,0.07235469,0.06437252,0.060158554,0.060582757,0.06580948,0.075085185,0.08682164,0.099257745,0.1100564,0.116755836,0.117743514,0.112166405,0.10119007,0.08669845,0.07297159,0.06329944,0.060016617,0.061231792,0.06405133,0.06501853,0.06347085,0.05996773,0.056380007,0.054005306,0.053904038,0.05650122,0.061836693,0.0693205,0.07780769,0.0854234,0.09030512,0.091341615,0.089483924,0.086981356,0.085816264,0.086221345,0.08750507,0.08973267,0.09363749,0.09869504,0.10273909,0.10331881,0.10056496,0.09523914,0.08848056,0.07963982,0.069646694,0.05938003,0.05068505,0.043841586,0.039359525,0.037365407,0.038171764,0.041233372,0.04546952,0.05156289,0.06427921,0.091532566,0.13567708,0.1861415,0.22300361,0.23252253,0.21908344,0.19965635,0.18882602,0.18831599,0.19074202,0.18907793,0.18295442,0.17702897,0.17425902,0.17149602,0.16332267,0.14838092,0.132719,0.12311786,0.122003354,0.12570141,0.12975787,0.13157062,0.13124059,0.13093801,0.13566078,0.15050872,0.17519327,0.20143284,0.2199146,0.22715946,0.22532104,0.21392126,0.19132133,0.15927698,0.12814529,0.108433604,0.105658896,0.11789786,0.13796581,0.15723585,0.16666742,0.16598208,0.15946507,0.15549703,0.15479188,0.15460594,0.151012,0.1449519,0.13944931,0.1360266,0.13327886,0.13041233,0.12821461,0.13075589,0.13803518,0.1477663,0.15162039,0.14504384,0.12817355,0.11032411,0.1027366,0.10951227,0.124780715,0.1342935,0.13179216,0.11837694,0.10460506,0.09529292,0.09268124,0.094677545,0.10021324,0.10633737,0.10746517,0.10000198,0.08377349,0.06475433,0.04788206,0.036650322,0.030463181,0.028175145,0.027940238,0.028318599,0.02837035,0.02771861,0.026623301,0.024997426,0.022924677,0.02043357,0.018128455,0.016413618,0.0155864805,0.015443329,0.015784057,0.016225994,0.016496591,0.016339079,0.0158218,0.0152626,0.015106236,0.015593377,0.016521497,0.017377054,0.017695947,0.017525239,0.017276296,0.017283408,0.01736249,0.017070614,0.016260952,0.01531491,0.014794916,0.0148279825,0.015086367,0.015116487,0.014852895,0.014542666,0.014500617,0.014778384,0.0151778115,0.015390598,0.015256141,0.014884186,0.014571638,0.014499996,0.014553695,0.01445901,0.014085993,0.013582359,0.013115586,0.0127033135,0.012172595,0.0114871925,0.010736637,0.010100424,0.009573049,0.009091475,0.008584999,0.00810638,0.0076999855,0.0073665604,0.0070479834,0.0066615585,0.0061435984,0.005441313,0.0045919297,0.0036806853,0.0028442498,0.002173988,0.0017359667,0.0015547564]