[0.051845554,0.05356734,0.05629586,0.057468105,0.056032717,0.053166036,0.051384136,0.05279766,0.05807033,0.06691101,0.07837508,0.09171607,0.10570078,0.118918836,0.12950833,0.13603859,0.13773154,0.13492282,0.12930375,0.12395287,0.1221677,0.12468732,0.1277142,0.12446484,0.11116692,0.09208939,0.07871289,0.081639595,0.10300944,0.13486189,0.16488332,0.18274672,0.18387361,0.17016226,0.14888443,0.12967749,0.11903402,0.11740228,0.12024499,0.12271503,0.12183794,0.116122045,0.1057786,0.09482374,0.092233025,0.10684071,0.14093947,0.18764494,0.236646,0.27939668,0.31052923,0.32383355,0.31364217,0.27950326,0.23231898,0.18930197,0.16447945,0.15923004,0.16548686,0.17334805,0.17825131,0.17966038,0.1781282,0.17374821,0.16773616,0.16286999,0.16175348,0.16499645,0.1714766,0.18015544,0.19070321,0.20251377,0.21386556,0.22257523,0.2271448,0.22683567,0.22100474,0.20939624,0.19309144,0.1753415,0.1600327,0.14999105,0.14525111,0.14400373,0.143784,0.14322935,0.14211614,0.14100765,0.14034043,0.14024322,0.14057417,0.14125852,0.14233695,0.14409338,0.14685719,0.1507042,0.15504421,0.1587864,0.16102983,0.16150688,0.16043536,0.15792331,0.15398955,0.14886211,0.14322053,0.13790451,0.13351576,0.13027559,0.12806304,0.1266255,0.12582721,0.12577319,0.12680489,0.12911353,0.13283974,0.1378945,0.14408948,0.15030448,0.15464996,0.154927,0.15052743,0.14282173,0.13462336,0.12781298,0.12248533,0.117197566,0.11116877,0.10521949,0.10137675,0.10047272,0.10059463,0.09781909,0.08921998,0.0753124,0.059367284,0.044755016,0.033154435,0.025264062,0.022060992,0.024324322,0.031118175,0.03906685,0.044221416,0.044338506,0.040205657,0.034389652,0.029355392,0.026061855,0.024132453,0.022730017,0.021314269,0.01982707,0.018814877,0.019694036,0.02534468,0.03911979,0.063034914,0.095130205,0.13007097,0.1611644,0.18386549,0.1962894,0.19924104,0.19465244,0.18529832,0.17330338,0.1600313,0.14593124,0.13205044,0.12023565,0.11310104,0.11287249,0.120693214,0.1354327,0.15317279,0.16827168,0.17631106,0.17664444,0.1720104,0.1659749,0.16063559,0.15666533,0.1541763,0.15328343,0.15359397,0.15431874,0.15468119,0.15479523,0.15539728,0.15740228,0.16107927,0.16608277,0.17157431,0.17656974,0.18016851,0.18165846,0.18088925,0.17811503,0.17411971,0.16950484,0.16479509,0.15988775,0.15433057,0.14660056,0.13466698,0.11679161,0.09403815,0.07129108,0.056532294,0.056592364,0.073024035,0.10013346,0.12827545,0.14926368,0.16036907,0.16348009,0.16144115,0.15532444,0.14475463,0.13006414,0.11375099,0.09985299,0.09238127,0.093253024,0.10177606,0.114564955,0.12744917,0.1365759,0.13953568,0.13466856,0.12153559,0.101565145,0.07893006,0.058838885,0.04498549,0.03769584,0.03523199,0.0361339,0.04107624,0.051526785,0.06753719,0.08579245,0.101440966,0.110628545,0.11256516,0.10822245,0.09897097,0.086057626,0.07151743,0.05815126,0.04827589,0.042508263,0.040135488,0.04088439,0.046186734,0.05791387,0.07606491,0.09732082,0.117488384,0.13404016,0.14755762,0.15931565,0.16982685,0.17833447,0.18448843,0.18864442,0.19122475,0.19150455,0.18779676,0.17934185,0.16769946,0.15654826,0.1488847,0.14544286,0.1445675,0.14428793,0.14323567,0.1408533,0.1368128,0.13104318,0.12390206,0.11609927,0.108187,0.09988991,0.090261556,0.078706086,0.066376574,0.05625474,0.051433194,0.052841913,0.05829549,0.064000405,0.06678012,0.06558729,0.061248273,0.055435266,0.049775135,0.04526907,0.042311054,0.04077817,0.040375337,0.040749986,0.04144557,0.04201952,0.04201865,0.04122824,0.03951818,0.03718425,0.03518944,0.035534043,0.04055321,0.051391244,0.06662769,0.08254122,0.09532117,0.103092544,0.10643086,0.106953315,0.10595417,0.10387974,0.1007284,0.096705765,0.092467606,0.089065075,0.08717081,0.086672954,0.08654872,0.08586372,0.08440342,0.082811154,0.08157804,0.080284126,0.077793576,0.07333728,0.06766255,0.06268848,0.060456455,0.061374854,0.06412775,0.066187985,0.06582576,0.0628143,0.058678653,0.05511483,0.053106446,0.05233933,0.051944878,0.05106914,0.04930006,0.04669475,0.04363005,0.040696386,0.038317773,0.0366648,0.03553832,0.034635793,0.033709228,0.032647166,0.03148401,0.030197034,0.028802127,0.027227404,0.025561163,0.023896223,0.0223755,0.020969158,0.019552052,0.017986486,0.016257579,0.0144914985,0.012847,0.011470695,0.010433654,0.009759539,0.009411049,0.009325191,0.009444992,0.009713009,0.010054652,0.010334454,0.010411255,0.010200859,0.009731229,0.009115278,0.008470069,0.0078799855,0.0073734163,0.006967291,0.0066645187,0.0064682215,0.006358092,0.006308537,0.0063063432,0.006380092,0.0065725595,0.006891087,0.0072620525,0.0075626126,0.0077068466,0.0076998924,0.0076121413,0.007482125,0.0072909533,0.0070119295,0.0066831033,0.0063892696,0.006169501,0.005985478,0.0059237457,0.0065090577,0.008892391,0.014200802,0.022573307,0.032372147,0.040939987,0.0460625,0.047222603,0.045497626,0.042488534,0.03948534,0.037003715,0.035162717,0.03376052,0.032657087,0.031658128,0.030693734,0.029693782,0.028635798,0.027515786,0.026309004,0.02501958,0.023555746,0.02188515,0.01999292,0.018047592,0.01625424,0.014791963,0.01367649,0.012765712,0.011878956,0.010876275,0.009773382,0.008647164,0.007612512,0.006699884,0.005902944,0.0051831068,0.0045429263,0.00401687,0.0036575776,0.0034949593,0.0035088586,0.003638547,0.0038731897,0.004419461,0.0058235177,0.008736213,0.013371947,0.018994292,0.024110282,0.027295077,0.028061679,0.026999483,0.025177462,0.023390556,0.021867724,0.020448169,0.019004568,0.017545516,0.016220285,0.015057334,0.01403558,0.013061001,0.012127246,0.011232693,0.010396312,0.009642832,0.009017572,0.008572571,0.008266624,0.00838961,0.010502986,0.018432757,0.037339505,0.069968216,0.112914555,0.15601504,0.18795015,0.20207946,0.20029677,0.18966083,0.17849664,0.17196405,0.1724016,0.17972799,0.19278145,0.20866579,0.22323334,0.23256545,0.23560475,0.23459888,0.23321138,0.23294985,0.23204398,0.2263826,0.21347184,0.19425844,0.17376836,0.1573023,0.14867248,0.14847744,0.1560724,0.1694324,0.1858362,0.20141894,0.2124504,0.21629988,0.21297766,0.20559591,0.19878174,0.19475049,0.18976265,0.17688751,0.15224768,0.12147965,0.09591028,0.08492858,0.088315606,0.0986174,0.10728276,0.11060289,0.1101278,0.11070802,0.117036305,0.13098745,0.14948462,0.16664477,0.17744188,0.18140198,0.18140472,0.18085617,0.18118097,0.1826384,0.18577927,0.19241025,0.20413327,0.22121112,0.24144082,0.26145175,0.27710223,0.28523752,0.28421697,0.27600136,0.26538622,0.25801024,0.25605032,0.2565704,0.25345233,0.24180426,0.22236209,0.2012446,0.18741085,0.18717672,0.20087475,0.22256136,0.24285705,0.25548035,0.2590389,0.25809136,0.25674304,0.25770867,0.2600433,0.26279533,0.26473424,0.26560465,0.265399,0.26502684,0.26580748,0.26801288,0.2692221,0.26539454,0.25433266,0.23974948,0.22878534,0.2269306,0.23213364,0.23815157,0.23928495,0.23528118,0.22898917,0.22397555,0.22221912,0.22380714,0.22738235,0.23097028,0.2342,0.23798193,0.24358189,0.2509792,0.25926745,0.26692387,0.27088273,0.26692393,0.25239447,0.23050648,0.20989679,0.19920935,0.20096028,0.21107067,0.22321172,0.23292466,0.23801906,0.23808098,0.23442237,0.23064135,0.23024708,0.23445888,0.2407542,0.24491566,0.24311341,0.2346227,0.22257204,0.21275741,0.2102716,0.21666683,0.22933306,0.24287069,0.25141004,0.2519912,0.24694307,0.24243923,0.24351609,0.24906223,0.25355294,0.2517618,0.24461049,0.23820703,0.23937936,0.24899136,0.26035666,0.2641195,0.2560789,0.24036177,0.22467424,0.21315539,0.20439065,0.19590153,0.18894446,0.18840475,0.19763772,0.21487468,0.23335953,0.24630868,0.2507017,0.24887323,0.24594516,0.24578561,0.24837124,0.25006223,0.24827737,0.24393623,0.24159443,0.2441264,0.25068727,0.25705552,0.25991294,0.25851235,0.25436953,0.24923503,0.24392171,0.2381549,0.2313537,0.22440897,0.22010286,0.22251707,0.23324625,0.25037917,0.26837277,0.28207573,0.28814638,0.2856543,0.27488145,0.2571324,0.23550655,0.21398085,0.19635014,0.18423176,0.17773706,0.1762572,0.17918408,0.18515576,0.19136493,0.19473906,0.19365597,0.18917213,0.18354678,0.17869805,0.17525743,0.17340213,0.1730904,0.17407705,0.17553727,0.17663084,0.17689441,0.17647703,0.17569579,0.17490508,0.17434733,0.17428492,0.17477274,0.17563392,0.17639558,0.17671265,0.17655349,0.17630333,0.17629425,0.17653327,0.17667551,0.17642461,0.176283,0.1779847,0.18445547,0.1975951,0.21654643,0.23698948,0.25480103,0.26805076,0.27766302,0.28383398,0.28595397,0.28314534,0.2766892,0.2685896,0.26047352,0.2527987,0.24609429,0.24190998,0.2415929,0.24510163,0.24955583,0.25187656,0.25049713,0.2472076,0.24462134,0.24445061,0.24651136,0.24971654,0.2532016,0.25590464,0.25702468,0.25521627,0.24987078,0.24100636,0.23038405,0.22030157,0.2123655,0.20661785,0.2024497,0.20043425,0.20233063,0.20963521,0.22175741,0.23539102,0.24632104,0.25057545,0.24659234,0.23482609,0.218637,0.20280434,0.19262542,0.1909828,0.19745547,0.20814176,0.21868242,0.22637726,0.23170583,0.23640697,0.24161817,0.24722242,0.25318742,0.26062754,0.2703351,0.28166497,0.29227737,0.30112407,0.30883607,0.3175064,0.32737193,0.33704603,0.3429667,0.34149966,0.3288328,0.30456027,0.2727107,0.24236487,0.22136427,0.21289349,0.21370763,0.2195629,0.22728646,0.23610544,0.24463205,0.2512118,0.2542734,0.25430918,0.25383928,0.25593498,0.26228622,0.27122426,0.27908185,0.28128564,0.274991,0.25968382,0.23880677,0.21859346,0.20554423,0.20213223,0.20653032,0.21390004,0.22016694,0.22229004,0.21997552,0.21457322,0.20863521,0.2032559,0.1981311,0.1932597,0.1899699,0.1894766,0.19033076,0.18939455,0.1847511,0.17797805,0.17268825,0.17255044,0.17968886,0.19447605,0.21339458,0.22995941,0.23714574,0.23375477,0.22452085,0.21746905,0.21728371,0.22326857,0.23002599,0.23134382,0.22458436,0.21265073,0.20310879,0.20291738,0.21463698,0.23414178,0.254234,0.2680533,0.27376118,0.27325305,0.27063227,0.267693,0.26473317,0.26099715,0.2573028,0.254711,0.2539587,0.25464225,0.25551173,0.25530902,0.25251213,0.24739112,0.24115543,0.2361716,0.23293304,0.23095588,0.22981678,0.23050576,0.23388438,0.23813735,0.23973162,0.23624438,0.22899592,0.22170997,0.21652083,0.2128902,0.20754027,0.1988182,0.18674,0.17450447,0.16488089,0.15974386,0.15818453,0.15856576,0.15929176,0.15994985,0.16063464,0.16165894,0.16330999,0.16566336,0.16834122,0.17047448,0.17145102,0.17134236,0.17091392,0.1707222,0.1707998,0.17061932,0.170159,0.17055804,0.1742891,0.18368344,0.19907443,0.21837205,0.23761924,0.25302598,0.26163995,0.2629095,0.2582228,0.24982353,0.23895617,0.22567111,0.2107075,0.19646181,0.18740976,0.18805255,0.20083325,0.22267912,0.24577494,0.26108277,0.2652556,0.26093268,0.25452587,0.24962032,0.24670161,0.2424119,0.23351403,0.21820396,0.19975816,0.18495773,0.18122916,0.1909107,0.21099056,0.23449416,0.25528988,0.2688355,0.2738435,0.27131796,0.2642794,0.25536606,0.24481326,0.2314742,0.21507506,0.19973911,0.19119953,0.19316213,0.20180029,0.20932007,0.20875756,0.20029509,0.18851352,0.1786526,0.17320944,0.17391843,0.183272,0.20324276,0.23168254,0.2617313,0.2851464,0.29832217,0.30293316,0.30348817,0.3014363,0.29482946,0.27994853,0.25595257,0.22644138,0.19934092,0.18331729,0.18360765,0.19846052,0.22023056,0.2395245,0.2504152,0.25100896,0.24248002,0.22786267,0.21378155,0.20799339,0.21422094,0.22690803,0.23537946,0.23232315,0.21970528,0.20567775,0.19742548,0.19734408,0.20289494,0.20990674,0.21397306,0.21333791,0.209571,0.20795375,0.21441871,0.23178828,0.25729036,0.28326216,0.30147967,0.30728266,0.3016672,0.28966835,0.2769264,0.26656243,0.25822988,0.24969675,0.2399217,0.23017971,0.22435105,0.22578913,0.23614414,0.25268582,0.27087554,0.28594327,0.29660627,0.303293,0.30727434,0.3082682,0.30574942,0.29866374,0.28666887,0.27001026,0.25074053,0.23230964,0.21871267,0.21288413,0.21495213,0.22259621,0.2318073,0.23982191,0.24504416,0.24752772,0.24745119,0.24533035,0.24059647,0.23241323,0.2211089,0.21106082,0.20904905,0.21968067,0.24073713,0.26390505,0.2806383,0.286592,0.28279236,0.27230227,0.25889292,0.24625324,0.23767298,0.2346708,0.23602591,0.23931563,0.24179398,0.24266092,0.24256854,0.24465297,0.2510305,0.26211676,0.27420452,0.28304288,0.2842073,0.2766367,0.26182452,0.24515891,0.23183149,0.22465591,0.22206046,0.22154416,0.22173546,0.22266066,0.22373872,0.22302528,0.21874563,0.210033,0.19800442,0.18557326,0.17787164,0.18138166,0.1994515,0.22924066,0.25936142,0.2776629,0.2771521,0.26202294,0.24244322,0.22925954,0.22720473,0.23463659,0.2454458,0.25355253,0.2554909,0.2504997,0.24003255,0.22668628,0.21436429,0.20563968,0.20219547,0.20487274,0.21657376,0.2380975,0.26618215,0.29154634,0.30663958,0.30858865,0.300931,0.28838792,0.27547085,0.2647955,0.25725052,0.25171652,0.24668045,0.24177527,0.23804305,0.23593603,0.2342694,0.23077528,0.22474611,0.2182122,0.21509916,0.21792431,0.22618861,0.23638596,0.2449175,0.24888273,0.2469501,0.2386282,0.22582741,0.21299851,0.20650737,0.21061283,0.22487396,0.2434058,0.25949338,0.26895872,0.27136573,0.2672274,0.2570146,0.24347441,0.23246026,0.23077892,0.23990692,0.25500017,0.2682518,0.2750701,0.27632344,0.27551904,0.27564767,0.27614176,0.27481446,0.26833856,0.2564069,0.24129616,0.229313,0.2251618,0.23025973,0.24018328,0.25067058,0.25986972,0.26984155,0.2807133,0.28967282,0.29178953,0.28574267,0.27389464,0.26027092,0.24638887,0.2316799,0.21560033,0.19944979,0.18565668,0.17605402,0.17114405,0.1701672,0.17157704,0.17364673,0.1751702,0.17610873,0.17703247,0.17834611,0.17967401,0.18050033,0.18079102,0.18110509,0.18179901,0.1825137,0.18247868,0.1814257,0.17996387,0.1789846,0.1787793,0.17888002,0.17877536,0.1784702,0.17836148,0.17856462,0.17873304,0.17848712,0.17782624,0.17702883,0.17597063,0.17410117,0.1710502,0.16762632,0.1655943,0.16702777,0.17348425,0.18662597,0.20715709,0.23348607,0.26008996,0.28047866,0.2915393,0.2957027,0.2982581,0.30236638,0.30753553,0.31074098,0.30943987,0.30258667,0.29091325,0.276434,0.26235047,0.25203067,0.24846883,0.2522715,0.2623829,0.2756953,0.28946355,0.30035987,0.30510852,0.3003339,0.2857026,0.26579353,0.24913566,0.24323912,0.24974819,0.26381615,0.2778066,0.2868205,0.2906473,0.29281342,0.29590678,0.3003901,0.30412373,0.3060251,0.30562156,0.3038507,0.30090487,0.29761794,0.29470673,0.29359147,0.29526064,0.29979002,0.30532652,0.30860212,0.3074496,0.30262673,0.2969763,0.2917826,0.28489396,0.273142,0.25668523,0.24125855,0.23443936,0.24038441,0.25607067,0.2738414,0.28596494,0.28920653,0.285765,0.28102693,0.2800028,0.28305218,0.28643367,0.28403363,0.2732062,0.25566566,0.2382341,0.22792834,0.22888947,0.23836893,0.24903472,0.25346062,0.25018668,0.24290836,0.23661703,0.23280089,0.2305059,0.22827625,0.22613001,0.22515188,0.22752424,0.2357362,0.2505125,0.26939726,0.28718522,0.29986158,0.30591238,0.30741033,0.30616304,0.30400553,0.3002487,0.29450762,0.28562784,0.27499738,0.26530135,0.26066685,0.26233327,0.2682157,0.27306458,0.27294132,0.2658948,0.25308865,0.23618309,0.21785249,0.20005332,0.18479164,0.17289525,0.16465198,0.15938513,0.15591387,0.15281236,0.14887749,0.14387895,0.1385506,0.13440295,0.1325587,0.1333815,0.13620926,0.1399263,0.1430347,0.14435595,0.14335686,0.14069448,0.13806777,0.13780814,0.14218627,0.1512488,0.1621693,0.16945235,0.16955192,0.16276096,0.15367848,0.14665328,0.1436171,0.14420374,0.14904632,0.16160583,0.18519646,0.21851276,0.2532648,0.2793288,0.29083943,0.28918016,0.2790239,0.2638664,0.2444325,0.22137271,0.19773053,0.17866556,0.16787274,0.16479383,0.1647604,0.16302246,0.15816104,0.15356697,0.15433799,0.16400544,0.18139027,0.20220488,0.22125392,0.23565356,0.24455613,0.24869044,0.24876101,0.24586332,0.2413135,0.23714364,0.23471272,0.23433542,0.2347802,0.2344885,0.23221701,0.22750713,0.22057591,0.21191867,0.20230645,0.1925603,0.18378763,0.17687856,0.172144,0.16879994,0.1655607,0.16132039,0.15599555,0.15001161,0.14384465,0.13763535,0.13255419,0.1314431,0.13833255,0.15519969,0.1798837,0.20584358,0.22542314,0.23288642,0.22663265,0.209342,0.18695442,0.16632347,0.15242963,0.1468577,0.14899983,0.15756775,0.171565,0.18869108,0.20579378,0.21966827,0.2292272,0.23500861,0.23811515,0.23912306,0.23804533,0.23503895,0.23043114,0.22506897,0.21984698,0.21589582,0.21393263,0.21420096,0.21595705,0.21800983,0.2191631,0.21907355,0.21840058,0.21855526,0.22081985,0.22530645,0.23063843,0.23462991,0.2355742,0.2333134,0.22919564,0.22533573,0.2225936,0.21949422,0.21288829,0.20145573,0.18850495,0.1810195,0.1844712,0.19751821,0.21186547,0.21810539,0.21288477,0.20076333,0.18910162,0.18201901,0.17854841,0.17614095,0.17281361,0.16772874,0.1598689,0.14970048,0.13945395,0.13278024,0.13112967,0.13333665,0.13678311,0.14199448,0.1530794,0.17477836,0.20658706,0.24101062,0.26819995,0.28189683,0.28242037,0.27321574,0.25768656,0.23816927,0.21774642,0.20042527,0.18885708,0.18183734,0.17500521,0.16446038,0.15041159,0.1368181,0.12802552,0.12522165,0.12595506,0.12697595,0.12747492,0.13078403,0.14134756,0.1605878,0.18373115,0.20306444,0.21273662,0.21249361,0.20578964,0.19659083,0.1872435,0.17868336,0.17156334,0.16639972,0.16359925,0.16274399,0.16302973,0.16385372,0.16576762,0.17003435,0.17717266,0.18585213,0.19298238,0.19571497,0.19295341,0.18612774,0.17792337,0.17054574,0.16484821,0.16030492,0.15663362,0.15391846,0.15347554,0.15663444,0.16482861,0.17790878,0.19397867,0.2093684,0.22065704,0.22625585,0.22657175,0.22270225,0.21528852,0.20487405,0.19317351,0.1831376,0.17802799,0.17902577,0.18476169,0.19156842,0.19605209,0.19656362,0.1938044,0.18947752,0.18498005,0.18109591,0.17815955,0.17618792,0.17438835,0.17160071,0.1671892,0.1619767,0.15765673,0.1559305,0.15765643,0.16352391,0.17365505,0.18733065,0.20143948,0.21212326,0.21689148,0.21703966,0.21653248,0.21932237,0.22753946,0.24032135,0.2549825,0.2678053,0.2769973,0.28261185,0.28518638,0.28273925,0.2722979,0.2536005,0.23166962,0.21329845,0.20106833,0.19173853,0.18013948,0.16613561,0.15493359,0.15477644,0.16999988,0.19975024,0.23609675,0.26873836,0.2879292,0.28980494,0.2759806,0.25193593,0.22371216,0.19664468,0.17610608,0.1676154,0.17589569,0.2001415,0.2315927,0.25502554,0.2577832,0.23687981,0.20093465,0.1632833,0.13521968,0.12188964,0.12381923,0.1383174,0.16187863,0.19019204,0.22016923,0.24821961,0.2709291,0.28440142,0.28771564,0.28320637,0.2753557,0.26795718,0.2629504,0.2606975,0.25988817,0.2579578,0.2528145,0.24394436,0.23395215,0.22561131,0.22216725,0.22313894,0.22673601,0.22793722,0.224061,0.21440732,0.2035343,0.19726586,0.20136093,0.21649933,0.23873514,0.2599119,0.27337253,0.27637085,0.27181876,0.26369527,0.25387475,0.24047588,0.22187304,0.20019744,0.18206166,0.17453074,0.180341,0.19641785,0.21633184,0.23496103,0.24907042,0.25637674,0.2540676,0.24192315,0.22399366,0.20768535,0.19983624,0.20463896,0.22253616,0.25000718,0.27907208,0.30121824,0.31118575,0.31007957,0.30209506,0.29162312,0.28135958,0.27365506,0.2705761,0.27261588,0.2776518,0.28152943,0.28009075,0.2705878,0.25341985,0.23197882,0.21213758,0.19923364,0.19761705,0.20931584,0.23334748,0.26363274,0.290332,0.30562112,0.30794266,0.30230537,0.29341114,0.28273904,0.26910868,0.25479034,0.24538724,0.24599147,0.25485528,0.2655604,0.27188155,0.27306792,0.27103046,0.26735747,0.26109472,0.25170574,0.24056315,0.23044552,0.22297299,0.21759479,0.21379171,0.21182357,0.21302582,0.21652646,0.22042505,0.22269881,0.22460426,0.22958243,0.24008392,0.2539439,0.26395074,0.26401246,0.25464588,0.24398457,0.2400264,0.24288763,0.24489371,0.23769899,0.22059822,0.20047946,0.18795276,0.19074869,0.21024258,0.23951614,0.26643535,0.28093305,0.28076845,0.2714001,0.2587241,0.24516423,0.22980092,0.21338598,0.1987794,0.18966724,0.18702722,0.18923838,0.19285117,0.19509776,0.19543171,0.1966662,0.20396693,0.22113055,0.24731915,0.27605653,0.29982558,0.31374586,0.31735983,0.31184325,0.29904902,0.28191963,0.26469716,0.25070387,0.23908375,0.22619633,0.2090057,0.18984105,0.1754247,0.17411047,0.18980289,0.21917154,0.2520449,0.2778491,0.29239395,0.29945615,0.30599734,0.3146752,0.32208347,0.32054505,0.3043021,0.2721878,0.23041451,0.18935479,0.16040045,0.1492536,0.15503104,0.17133588,0.19249684,0.21511678,0.23683675,0.25270715,0.2568514,0.24767222,0.23152155,0.21994275,0.22305699,0.24316876,0.27395162,0.3034794,0.32195988,0.326295,0.32082915,0.3118759,0.3030089,0.2933301,0.279975,0.2613868,0.23946136,0.21914987,0.20638783,0.20439714,0.21136512,0.22130394,0.22882323,0.23198903,0.2312717,0.22609437,0.21595538,0.20329599,0.19427459,0.1944558,0.20433891,0.219487,0.23339278,0.2420306,0.24453396,0.24289836,0.24020024,0.24061911,0.2486708,0.26546478,0.285549,0.29760936,0.29223213,0.2686489,0.23605491,0.20797344,0.19374298,0.1948329,0.2050513,0.21773203,0.22805679,0.23417701,0.23363054,0.2250744,0.2100528,0.19340418,0.18011148,0.17357008,0.17703564,0.19362713,0.22268975,0.25631616,0.2834034,0.297971,0.30383244,0.30850178,0.31469664,0.3167237,0.30741426,0.2855977,0.25830472,0.23428303,0.2170649,0.20447755,0.19389462,0.18717243,0.1883484,0.19796936,0.21080934,0.21901731,0.21844448,0.2104994,0.20180172,0.19985312,0.20935322,0.22872381,0.25107774,0.26868743,0.27719498,0.27585953,0.26516184,0.24703132,0.22722878,0.21533711,0.21867423,0.23611052,0.2587246,0.27728173,0.2886113,0.29438373,0.2967402,0.29528356,0.28907135,0.2774148,0.26058197,0.24013913,0.22095247,0.21075541,0.21452482,0.23041213,0.24901754,0.26187298,0.2650006,0.261518,0.2555223,0.2512252,0.24998797,0.25178382,0.254172,0.25407594,0.24867515,0.2366466,0.21811783,0.19524269,0.17192417,0.15287596,0.14102206,0.13654436,0.1373591,0.14117946,0.14625625,0.15126501,0.15469302,0.15524511,0.1524992,0.14778693,0.14449616,0.14788896,0.16314757,0.19145642,0.2269529,0.25656393,0.26676908,0.25197288,0.22088887,0.1919877,0.1800115,0.1857038,0.19583404,0.19856434,0.19118808,0.18193166,0.17883421,0.18652058,0.20451374,0.22926277,0.25454894,0.27328035,0.28239876,0.28323206,0.2794794,0.27225652,0.26145002,0.24760963,0.23321277,0.21951692,0.20667012,0.19609791,0.19336253,0.20400369,0.22790627,0.2567635,0.28026834,0.29272923,0.2960713,0.29523158,0.2938397,0.29144263,0.28649032,0.27828455,0.26897642,0.2607958,0.25430676,0.24759446,0.2390781,0.23011462,0.22376911,0.22292532,0.2290167,0.24655862,0.28319097,0.345546,0.42937613,0.5153485,0.5764497,0.59191775,0.56295663,0.5098337,0.4601268,0.4288578,0.41607866,0.41265008,0.41213384,0.4145275,0.42567813,0.45332313,0.49957466,0.55699474,0.6076761,0.6356327,0.6321394,0.60249084,0.5564429,0.50782865,0.46540806,0.43617526,0.4207277,0.41894922,0.42832676,0.4471127,0.47101793,0.49377427,0.5074671,0.5075092,0.49551174,0.47795746,0.46007702,0.44222745,0.42197323,0.3996825,0.38030556,0.3702934,0.3720186,0.38261744,0.3959317,0.4076133,0.415651,0.4201626,0.4203085,0.41550198,0.40584758,0.39320228,0.3805821,0.37327063,0.38069716,0.41344783,0.47384444,0.5475412,0.6058636,0.62394214,0.5948457,0.53515655,0.46914387,0.4171033,0.38466716,0.36836228,0.3595713,0.351818,0.3423116,0.33241925,0.32509664,0.3216808,0.3213776,0.32447323,0.33540854,0.3641281,0.41610205,0.48894832,0.56560165,0.627742,0.65650445,0.64572835,0.5982984,0.5331975,0.47226402,0.43182218,0.41084945,0.3978447,0.3818097,0.36282066,0.35279235,0.3634551,0.39568606,0.43238065,0.45316112,0.44656935,0.42033327,0.38937664,0.36596903,0.35078755,0.33849767,0.3230169,0.30356768,0.2838664,0.27129054,0.27261078,0.2908499,0.3204836,0.3498592,0.36692098,0.36789754,0.35667595,0.3397554,0.32294083,0.31403747,0.32822216,0.37633264,0.45541176,0.5390971,0.6007486,0.6277744,0.6339081,0.6392465,0.65646666,0.67812365,0.68519276,0.65947706,0.5997425,0.52288705,0.4537499,0.40752342,0.3842456,0.37376776,0.36822772,0.36773768,0.38053533,0.41621444,0.4779972,0.55690694,0.6313377,0.6760201,0.67424995,0.6287751,0.5595647,0.49125972,0.43941405,0.40615928,0.38669106,0.37619722,0.37335417,0.3789253,0.39307928,0.4124452,0.42962518,0.4378356,0.43576586,0.42859706,0.42161548,0.41668546,0.41134343,0.4037325,0.39327785,0.3819518,0.37234855,0.36755526,0.36852542,0.37397918,0.3805873,0.38627815,0.3895578,0.38932905,0.38288164,0.36920366,0.35217807,0.34252885,0.3548158,0.39865628,0.47122303,0.5533622,0.6182361,0.64304346,0.621001,0.5620927,0.48851708,0.42207113,0.37612054,0.3504454,0.3389884,0.33524612,0.3371718,0.3423055,0.34696254,0.34587875,0.336525,0.32251224,0.31491998,0.33018145,0.37718824,0.45004538,0.52498156,0.57737225,0.59062773,0.563695,0.50573653,0.43482852,0.37180892,0.33109665,0.31457487,0.3124018,0.3145161,0.31698182,0.32546315,0.34463683,0.37218264,0.39328384,0.39471236,0.3732058,0.3409997,0.31227675,0.2949966,0.28729632,0.2842268,0.2821758,0.2798886,0.2772073,0.27401733,0.271085,0.26980776,0.27173612,0.2768402,0.28332052,0.28798094,0.2875305,0.28035244,0.27033412,0.26865992,0.29162,0.3459057,0.42181775,0.49177846,0.5359754,0.55204266,0.56017846,0.5767235,0.60369444,0.62414175,0.61992663,0.58414227,0.52589107,0.46353006,0.41231096,0.37863705,0.3594623,0.3493327,0.34488893,0.34772608,0.364879,0.40415087,0.46894726,0.5490816,0.6227793,0.66208243,0.6490703,0.5852446,0.49409246,0.40735915,0.34843597,0.32229707,0.3194213,0.3269494,0.33739924,0.3514886,0.37204233,0.39764604,0.41802812,0.42221078,0.4064815,0.37933865,0.35285625,0.33496988,0.32552433,0.32103595,0.31859684,0.31760836,0.3178272,0.3182542,0.31714177,0.31386483,0.30969486,0.30718982,0.30796537,0.31167117,0.31636834,0.32014927,0.32368827,0.33178997,0.35493186,0.4023339,0.47553945,0.55781335,0.6214783,0.6370017,0.5951788,0.51016766,0.41671336,0.346076,0.31270635,0.30849615,0.3168868,0.3244217,0.3272061,0.32682374,0.32598412,0.32563117,0.32545125,0.32731915,0.33795086,0.36954978,0.42791358,0.50642735,0.58139294,0.6306384,0.63910675,0.60816926,0.5454275,0.46734324,0.3918027,0.33458117,0.30034968,0.2838265,0.27787343,0.28075767,0.29776478,0.3297983,0.36799777,0.392969,0.3932946,0.37184086,0.3453133,0.3256439,0.3152986,0.30866817,0.30220857,0.29534018,0.28901044,0.283337,0.27891704,0.27738166,0.27973107,0.28456208,0.28819665,0.28794038,0.28349075,0.27683327,0.27062526,0.27031684,0.2847627,0.32445088,0.38909566,0.46442488,0.5250569,0.55793834,0.56943536,0.58123827,0.6072336,0.64121324,0.6637215,0.65331656,0.60419226,0.52294517,0.43116757,0.34990123,0.2952403,0.26830208,0.26106557,0.2630922,0.272126,0.29717445,0.34921432,0.42813858,0.51064616,0.5639301,0.56272167,0.5111855,0.43354675,0.36207438,0.3149027,0.29568473,0.29488564,0.30135477,0.30746797,0.31352922,0.32618222,0.3502756,0.38164034,0.40466574,0.40462163,0.3786399,0.33902594,0.3019662,0.27725136,0.26595002,0.2652905,0.2725568,0.28487554,0.29837048,0.30921605,0.31530127,0.31671762,0.31382468,0.30670565,0.29578522,0.28397045,0.27555338,0.27332416,0.27812514,0.2916056,0.32269403,0.3805474,0.4684793,0.5674226,0.6472168,0.6723644,0.63086754,0.5332965,0.41598248,0.31347892,0.2470875,0.21429707,0.20199323,0.19678788,0.19277382,0.1890809,0.18664318,0.18641901,0.18943952,0.19678658,0.2074412,0.21784288,0.22319068,0.22309656,0.2228434,0.2305658,0.24917372,0.27310452,0.2912501,0.29511487,0.2856743,0.2725993,0.267869,0.27614114,0.2940183,0.31402162,0.33289614,0.35068598,0.36751673,0.3792199,0.38094106,0.37183654,0.35706922,0.34389934,0.3366257,0.3353145,0.338114,0.34420618,0.3535317,0.36474076,0.37390313,0.3770124,0.37333098,0.3657494,0.35704347,0.34701422,0.3344202,0.32092106,0.31174445,0.31215575,0.32319045,0.34117055,0.35921434,0.37178794,0.3780469,0.38381824,0.39814377,0.42632905,0.4672053,0.5145343,0.5610551,0.5975501,0.6121637,0.5984597,0.56105345,0.5170722,0.48091277,0.45833215,0.4453058,0.4389211,0.44035435,0.45573446,0.4880689,0.5358057,0.5871875,0.62844515,0.6440005,0.62916136,0.5889061,0.5402782,0.49954984,0.47552463,0.46601987,0.46429762,0.46527877,0.46775976,0.47362676,0.4837776,0.4966627,0.5058968,0.5055967,0.49272478,0.4709181,0.44670796,0.42725956,0.41799417,0.42117715,0.43538466,0.45427725,0.47009793,0.4769921,0.47432885,0.46505216,0.45248833,0.4386797,0.42467967,0.41246104,0.40366706,0.39924994,0.39968276,0.40707013,0.42661667,0.46020886,0.50531125,0.5494141,0.5808286,0.588625,0.57320946,0.5412914,0.50552183,0.47349286,0.4459288,0.41939893,0.39382443,0.3726622,0.35910466,0.35214543,0.34974822,0.35071388,0.35613796,0.36831948,0.39134574,0.43008444,0.48474017,0.54840225,0.60620326,0.64279085,0.6452891,0.6110551,0.54898846,0.47966206,0.42346045,0.39188555,0.38313293,0.38903892,0.4001926,0.41180828,0.42228672,0.4319463,0.43808237,0.43697307,0.42665398,0.40967664,0.3896067,0.36936238,0.35207948,0.34307328,0.3470423,0.3631103,0.3838661,0.39913687,0.4029247,0.39526483,0.38109043,0.3652617,0.3514891,0.34126487,0.33475244,0.32982484,0.3257145,0.32699624,0.3450111,0.38949606,0.4566214,0.5260113,0.573354,0.589907,0.59032243,0.5982142,0.6269751,0.6668168,0.6962471,0.69469935,0.65752774,0.5946342,0.5252057,0.46614686,0.42510805,0.4008884,0.38807657,0.38418576,0.38945624,0.40782464,0.4384559,0.47872245,0.51997757,0.55830115,0.58704114,0.60091954,0.59209704,0.5621409,0.5216909,0.4859985,0.46355486,0.4534897,0.45048508,0.45133576,0.4580873,0.47256768,0.4918314,0.50473636,0.501978,0.48244333,0.45619342,0.43440685,0.42279896,0.42022613,0.42241895,0.42489162,0.42306325,0.4144657,0.4010528,0.39013967,0.3897765,0.40186515,0.41956362,0.43159795,0.43098605,0.4186118,0.40175474,0.38961926,0.39149132,0.414737,0.45847854,0.51033807,0.546834,0.5487067,0.51038176,0.44724798,0.38292053,0.33788344,0.31764325,0.31640723,0.32394767,0.3329827,0.3388065,0.33816314,0.3290626,0.31350517,0.29666463,0.28522334,0.28559315,0.30455473,0.34708717,0.4094627,0.47533163,0.52055305,0.52847296,0.4997424,0.45033273,0.39955437,0.36010244,0.33726263,0.33031332,0.33533433,0.34500363,0.3535758,0.36136183,0.3738991,0.3947147,0.41646194,0.42603365,0.4131219,0.38114962,0.34169844,0.30819973,0.28730163,0.28047204,0.2857485,0.29965886,0.31735954,0.33225188,0.33973035,0.33879328,0.33312345,0.32660237,0.32038036,0.31276897,0.30188695,0.28853405,0.27726948,0.27717093,0.30096602,0.35754097,0.44225225,0.5306299,0.5912165,0.60603017,0.5855799,0.55659753,0.5405922,0.53756446,0.535257,0.52103883,0.492568,0.45378995,0.4129301,0.3774176,0.35175982,0.3356929,0.32643834,0.32209173,0.32281986,0.32908174,0.34013626,0.3534994,0.36653093,0.37703145,0.38409248,0.38749418,0.3874989,0.3843982,0.37882796,0.37183228,0.3645533,0.35749385,0.35040674,0.3432455,0.33679518,0.33234218,0.3300655,0.32898667,0.32770622,0.3259194,0.3235782,0.32022727,0.31451866,0.30632636,0.2975178,0.29165486,0.29094183,0.29487762,0.30028668,0.30403534,0.30472103,0.30322033,0.3012497,0.29987943,0.2989507,0.29726517,0.293942,0.28892162,0.28382027,0.28029445,0.2793194,0.27970314,0.2800183,0.27925602,0.2780252,0.27670658,0.27541813,0.2736202,0.27160326,0.27000818,0.2696367,0.27014038,0.2706906,0.27034405,0.26943102,0.2684838,0.26805362,0.26731646,0.26572505,0.26293144,0.2600731,0.2577823,0.25633,0.25436902,0.2511576,0.24654388,0.24238767,0.2403955,0.24185671,0.2458208,0.2502968,0.25252858,0.2511851,0.24645019,0.240592,0.23633169,0.23659998,0.24286373,0.25492933,0.2699066,0.28355742,0.29174092,0.29258826,0.28706637,0.27833545,0.27001342,0.2640945,0.26042762,0.25723433,0.25353274,0.24966799,0.24749672,0.24776502,0.24997848,0.2520182,0.25285757,0.2522371,0.2510252,0.24929239,0.24752091,0.24623185,0.24650484,0.24775966,0.24843563,0.24663253,0.24309151,0.24053842,0.24249427,0.24982381,0.2603266,0.26972258,0.2748395,0.27502704,0.27173892,0.26626694,0.25871983,0.24861033,0.23691319,0.2267248,0.22205882,0.22510062,0.23424764,0.24498434,0.25263736,0.2558054,0.2562768,0.25718126,0.25950494,0.26212952,0.26299217,0.26200116,0.26065576,0.26105413,0.26326546,0.26574737,0.26609215,0.26343772,0.25827637,0.25245842,0.24729072,0.24372625,0.24171655,0.2413805,0.24221642,0.24348311,0.24373579,0.24242215,0.24023573,0.23908497,0.24003685,0.24247275,0.24416195,0.24332829,0.23979539,0.23521952,0.23145813,0.22924465,0.22798716,0.22684455,0.22605209,0.22654773,0.2290294,0.23261136,0.23568718,0.23716354,0.23821686,0.24152541,0.24958038,0.26198676,0.2754439,0.2853774,0.2890483,0.2864787,0.28008375,0.27269042,0.26681373,0.26368204,0.26376653,0.2662178,0.26971623,0.27219543,0.27224883,0.26931623,0.2645649,0.2597262,0.25625515,0.25403464,0.25198448,0.24895835,0.24508308,0.24164736,0.24062772,0.2431994,0.24912179,0.25606656,0.26089194,0.26061544,0.2546185,0.24484272,0.235695,0.23112482,0.2326851,0.23816621,0.24361801,0.24555717,0.24302834,0.23751354,0.23182225,0.2288617,0.23118947,0.24188288,0.26386812,0.29771498,0.33817744,0.3755099,0.39999625,0.40854654,0.40513763,0.3984847,0.3955128,0.39772668,0.39881802,0.38848904,0.36119616,0.3247786,0.30177787,0.3166159,0.37800455,0.46989414,0.55878305,0.6157963,0.6284888,0.6065631,0.5664763,0.5264712,0.49502477,0.4760991,0.46672383,0.46412644,0.46615025,0.47497177,0.49300608,0.5195233,0.5481758,0.57342696,0.59199494,0.60265654,0.5991006,0.5773268,0.5403002,0.50186247,0.47395697,0.46084175,0.45737267,0.45875123,0.46258903,0.47100624,0.4830594,0.4953783,0.50015455,0.49415913,0.4786067,0.46032497,0.44392022,0.43179753,0.4228078,0.41617426,0.41014445,0.4039977,0.3968297,0.38970205,0.38487998,0.3858545,0.3951354,0.41129318,0.4288431,0.4398938,0.4398091,0.42919803,0.41645405,0.41424534,0.4352026,0.47982702,0.5340228,0.57322764,0.5820263,0.56089324,0.5261192,0.49333397,0.4723109,0.46191427,0.45744172,0.45118514,0.4402262,0.42525685,0.41263857,0.40717748,0.41040602,0.41905895,0.43051335,0.4466852,0.47267213,0.510034,0.5513151,0.5842023,0.59979576,0.596495,0.57664865,0.5437474,0.50411457,0.46654522,0.43767974,0.4171442,0.40063646,0.3857386,0.37513188,0.37382686,0.38434252,0.40382025,0.4247024,0.43985733,0.44644642,0.445528,0.43848738,0.42553404,0.40887102,0.3937076,0.3857753,0.38565767,0.3883671,0.3882352,0.38414112,0.3804109,0.38058802,0.3840351,0.3847058,0.37823763,0.36391208,0.3462182,0.33041427,0.32378957,0.33514908,0.37011766,0.42401978,0.4797419,0.5220795,0.5488189,0.5734778,0.6090457,0.65492886,0.6938059,0.70291597,0.6707867,0.60561466,0.5316079,0.4720759,0.43813682,0.42657423,0.42916307,0.4383774,0.4515942,0.47109842,0.50438714,0.55676204,0.6236027,0.68647915,0.72145057,0.7119281,0.6580415,0.57798696,0.49758005,0.43898213,0.40963128,0.40427813,0.4104751,0.4184091,0.42575133,0.4369987,0.45636478,0.4795022,0.4947559,0.4924082,0.4733235,0.44747856,0.4250406,0.4113343,0.40551832,0.40469208,0.4040122,0.40046906,0.39241287,0.3819393,0.37176797,0.3651764,0.36318076,0.3646126,0.3658383,0.36360428,0.35815343,0.35497895,0.36365667,0.3933743,0.44684514,0.5154104,0.5802439,0.6206942,0.62536484,0.59705496,0.5502817,0.5024666,0.46728778,0.44972542,0.44655764,0.44967094,0.45146152,0.44955885,0.44620618,0.4453371,0.4474306,0.4495678,0.45017242,0.45371103,0.4705414,0.505678,0.55247235,0.5925928,0.61168426,0.6069625,0.5873546,0.5621748,0.53659374,0.5127776,0.49325502,0.48120883,0.47808397,0.4832805,0.49463663,0.5098359,0.5254373,0.53691864,0.5387086,0.528597,0.50879806,0.48611724,0.46678853,0.45471275,0.45009586,0.4509884,0.45389637,0.45628288,0.45830095,0.4624097,0.47046188,0.48080418,0.4897684,0.4936833,0.49151424,0.4839381,0.47289124,0.46051577,0.45008704,0.44621435,0.45554844,0.4804028,0.5171761,0.55333716,0.57955503,0.59296596,0.60019827,0.60742354,0.6146933,0.6160051,0.6029219,0.5726386,0.52854604,0.48020396,0.43645415,0.4022974,0.37848055,0.36370942,0.35755542,0.36119893,0.3811967,0.4240838,0.49180675,0.5698144,0.6358982,0.66674924,0.6557062,0.6093313,0.5476329,0.4898851,0.44856527,0.4225055,0.403764,0.38724577,0.37714505,0.3825072,0.4074744,0.4437609,0.47470346,0.48557866,0.47537506,0.45449427,0.43578672,0.42359337,0.41479278,0.4042031,0.3899368,0.37325767,0.35646138,0.3424691,0.33475485,0.33828261,0.35641673,0.38770664,0.42305002,0.4500384,0.46040294,0.4555607,0.44586977,0.4447099,0.4640684,0.5077081,0.56851506,0.62550634,0.654499,0.6389382,0.5832191,0.5087504,0.44371697,0.4048297,0.39125836,0.38884267,0.38549092,0.37937033,0.3771396,0.38240287,0.3907489,0.3926916,0.38454857,0.37431288,0.37991348,0.41866314,0.49245843,0.58219963,0.6530478,0.67722607,0.6482609,0.5853534,0.51510584,0.4569917,0.41454196,0.38338625,0.3590478,0.34203616,0.33493093,0.34022382,0.3596954,0.39297196,0.43517634,0.47360906,0.49342218,0.48409322,0.44818953,0.39901054,0.3543614,0.3259277,0.31512317,0.3161142,0.32273027,0.33304372,0.34705672,0.3638357,0.3802056,0.393383,0.40129316,0.40247634,0.3961555,0.38448596,0.37326407,0.37066898,0.38335177,0.41345075,0.45179033,0.4818457,0.4874196,0.4730545,0.46172968,0.48060927,0.5339504,0.59916335,0.6428993,0.64247894,0.59875137,0.5286531,0.45631135,0.3981291,0.36012462,0.3369191,0.32122147,0.30975792,0.3085792,0.32823828,0.37406448,0.43558633,0.48695573,0.50285953,0.47586963,0.42338946,0.37267438,0.34371388,0.33780804,0.34477293,0.35284886,0.35672656,0.35698053,0.35703167,0.36208728,0.37483168,0.39326668,0.40710187,0.40612316,0.38671926,0.3569263,0.32853326,0.30991364,0.30170378,0.3002287,0.30110684,0.3017629,0.30117378,0.30002037,0.2995272,0.30105153,0.30402735,0.306865,0.30734,0.3054981,0.3022635,0.29930854,0.29896903,0.30787003,0.33907285,0.40273443,0.49806225,0.60166246,0.6826741,0.71090156,0.6803258,0.6021855,0.50629115,0.4182339,0.35668874,0.32312974,0.31182232,0.3115654,0.31432286,0.31516144,0.3143191,0.31550252,0.3244474,0.3469099,0.38703963,0.44592896,0.51914793,0.5952801,0.65817773,0.6936956,0.69555736,0.6674054,0.62010854,0.5675693,0.521875,0.48935118,0.46991786,0.45982072,0.45538953,0.45558676,0.46049535,0.46896422,0.47536233,0.47217152,0.4547182,0.4258318,0.39411497,0.3685833,0.3543127,0.35178515,0.35937345,0.37529972,0.39750162,0.42217946,0.4431922,0.45576474,0.4591438,0.45665836,0.45023093,0.43861827,0.41968524,0.3956081,0.37272498,0.35955802,0.36381206,0.39353147,0.45034316,0.5252361,0.5927573,0.62636614,0.61097413,0.55738133,0.49099627,0.4388539,0.41123462,0.4021155,0.3960785,0.38240406,0.35952282,0.33272937,0.3076711,0.28729776,0.27290386,0.2642325,0.2596439,0.2560353,0.25229228,0.2517245,0.25874612,0.27317175,0.28508782,0.28296658,0.26223844,0.23331018,0.21132945,0.20605443,0.21226086,0.21751559,0.21041082,0.18938266,0.16035806,0.13329478,0.11641744,0.11405492,0.12522762,0.14495827,0.1666677,0.18501388,0.19759567,0.20490102,0.20919162,0.21280487,0.21737005,0.22387476,0.23380856,0.24890311,0.26962352,0.29231152,0.3094828,0.31268752,0.29814687,0.26906937,0.23523058,0.20814276,0.19687949,0.20451574,0.22783566,0.2587353,0.2873926,0.3055129,0.308324,0.29485968,0.26727498,0.23030762,0.19058906,0.15478192,0.12771437,0.112263344,0.110649824,0.12505333,0.15369129,0.1899225,0.2231447,0.24830472,0.2668331,0.2861254,0.30956566,0.33593604,0.35947767,0.37602577,0.38323355,0.38010216,0.364465,0.33561453,0.29570296,0.25169674,0.20953576,0.17385112,0.14600034,0.12962122,0.12893523,0.14840023,0.18717562,0.23851307,0.2900575,0.32972237,0.34894934,0.34560263,0.3211203,0.28180754,0.2380016,0.20605882,0.19948775,0.2220809,0.26079407,0.29625914,0.31351233,0.31216076,0.300015,0.28526708,0.2706343,0.2564852,0.24458551,0.23766224,0.23585202,0.23493706,0.22992952,0.21995287,0.20912279,0.2027905,0.20298894,0.20841628,0.21673046,0.22788727,0.24229376,0.25951007,0.27399245,0.2793946,0.27129552,0.25512233,0.24096613,0.23840465,0.24636705,0.25737864,0.26314977,0.26236483,0.25806102,0.25428334,0.2522024,0.25081834,0.24727647,0.23948169,0.22692029,0.21275489,0.20059909,0.19345967,0.18996668,0.18736462,0.1820342,0.1739449,0.16532482,0.16141371,0.16761154,0.1881813,0.22209007,0.26159707,0.2951301,0.31422207,0.31821322,0.31255138,0.30401993,0.29682904,0.2918103,0.2866442,0.27756837,0.2625469,0.24323328,0.22374831,0.20665658,0.19206679,0.18014014,0.17392085,0.17789614,0.19307333,0.21407121,0.23059684,0.23387189,0.22167204,0.19943427,0.17617078,0.1601991,0.15725331,0.16917539,0.19338273,0.22204284,0.24659862,0.26111737,0.26459497,0.2578466,0.24304046,0.22505355,0.2124228,0.21292625,0.22715788,0.24755506,0.26459154,0.27389023,0.2774543,0.279466,0.2817172,0.28265432,0.2780716,0.26448575,0.24190424,0.21720041,0.20140271,0.20334584,0.22247028,0.248807,0.27014503,0.28003263,0.28011167,0.27600238,0.27192098,0.26844347,0.263525,0.25525403,0.2437498,0.23126163,0.22039904,0.21207948,0.20515926,0.19764401,0.18833233,0.17803025,0.17005165,0.1701752,0.18327272,0.20929576,0.23981376,0.26292422,0.27029324,0.26402757,0.25325844,0.24731533,0.2482351,0.25111368,0.24787831,0.23331971,0.20688389,0.17354144,0.14231496,0.12517717,0.132851,0.16778924,0.22084658,0.27386484,0.31148386,0.3275771,0.32528043,0.30947873,0.28348747,0.25101745,0.21777004,0.19022144,0.17190193,0.16424148,0.1695236,0.19140399,0.2308929,0.28089893,0.32805833,0.3585961,0.36646426,0.3541855,0.331,0.30596617,0.28347188,0.2618732,0.23800665,0.21283843,0.19080853,0.17674208,0.17232914,0.17877169,0.1966661,0.22423792,0.25396702,0.27557924,0.28190306,0.2734244,0.25655097,0.23908128,0.2262065,0.21977438,0.2193939,0.22376801,0.23125367,0.2391576,0.24442385,0.2446153,0.23995884,0.23286688,0.22717518,0.22691281,0.23412281,0.24659307,0.25585875,0.25265446,0.23278166,0.20223056,0.17204654,0.15313236,0.1512916,0.16817264,0.200171,0.23896201,0.27311826,0.29473642,0.30283746,0.30267766,0.29962048,0.29584602,0.28970364,0.278661,0.26228347,0.24416728,0.23016621,0.22361447,0.22171068,0.21778841,0.20687085,0.19039817,0.17529292,0.17081176,0.18338768,0.2126861,0.24974938,0.2807705,0.29490927,0.2901861,0.2731193,0.25259998,0.23451944,0.22013138,0.20855181,0.19952226,0.19485731,0.19700879,0.20699601,0.2229796,0.24090314,0.25609756,0.26397923,0.26209667,0.25108525,0.236594,0.22579814,0.22456348,0.2333755,0.24833028,0.26166853,0.26487973,0.2513994,0.22116758,0.1819762,0.14687411,0.12671922,0.1237211,0.13044624,0.13619536,0.1355295,0.13221185,0.13546537,0.15310532,0.18546812,0.22562166,0.26176015,0.28433433,0.28885007,0.27833793,0.25941804,0.24027042,0.22621697,0.21754251,0.20959933,0.1974039,0.1825074,0.17201734,0.17288621,0.18384963,0.19753122,0.20654374,0.20899536,0.20731002,0.20437102,0.20228207,0.20271057,0.20773911,0.21744193,0.22864856,0.23545046,0.23406623,0.22561552,0.2158464,0.20953643,0.20737128,0.20576857,0.20183235,0.19520251,0.18779604,0.1798503,0.17051192,0.15996607,0.15249564,0.15339963,0.1648347,0.18354619,0.20370398,0.22034086,0.23023485,0.23231184,0.22757085,0.21972357,0.21297668,0.2102074,0.2124431,0.2198136,0.23165308,0.24505985,0.2541376,0.25190723,0.23389782,0.20254023,0.16721022,0.14090998,0.13194174,0.1405278,0.15951538,0.18226407,0.2048672,0.22604094,0.24271812,0.25151208,0.2511169,0.24436463,0.23606956,0.23030148,0.22948767,0.23557538,0.24925832,0.26861426,0.28669584,0.29488292,0.28644815,0.26133546,0.22570781,0.19037054,0.16658472,0.16144548,0.17396252,0.19588347,0.21723944,0.23252982,0.24152984,0.24634914,0.24816489,0.24705179,0.24240153,0.23288804,0.21746878,0.19796853,0.18135627,0.17674462,0.1893685,0.21554868,0.24533236,0.26849988,0.28056958,0.28196386,0.27576473,0.26427284,0.24969065,0.2339412,0.21979427,0.20989613,0.20620222,0.20808649,0.21210414,0.21350984,0.20960121,0.20260815,0.2010658,0.21862364,0.26734307,0.34871754,0.44805738,0.5411835,0.6060638,0.63351005,0.62737995,0.60214335,0.5742989,0.5567665,0.5522267,0.55694044,0.56479925,0.5743881,0.58780724,0.6104567,0.64245385,0.6772751,0.6980565,0.69321126,0.6607078,0.61593264,0.57383543,0.5449704,0.52716655,0.5168402,0.51003355,0.5063974,0.50582635,0.5086804,0.51618797,0.5277172,0.5404498,0.5471371,0.5435646,0.5297023,0.5122435,0.49659157,0.48555768,0.47698167,0.46821594,0.4568374,0.44309437,0.42831996,0.4141643,0.40079263,0.38808337,0.37658337,0.36725786,0.3604004,0.35496888,0.35007057,0.34596112,0.34659478,0.3609474,0.40050304,0.46926293,0.55371994,0.623889,0.650618,0.6251146,0.5652624,0.5011979,0.45525527,0.43187276,0.42218181,0.41625944,0.4087496,0.4002758,0.39207792,0.38504478,0.37783518,0.36922207,0.3600589,0.35567102,0.3666608,0.40082228,0.45701718,0.5178583,0.5626226,0.5741143,0.55259085,0.50655514,0.45408252,0.4088222,0.3820051,0.3730687,0.37756816,0.38759914,0.40009388,0.41478297,0.4327041,0.4517585,0.46567073,0.46832192,0.45722482,0.43600604,0.41008154,0.38506797,0.36459145,0.35197082,0.3481643,0.35261795,0.36203742,0.3739444,0.3858911,0.3975464,0.407329,0.41349497,0.4123155,0.4020393,0.38328835,0.36053684,0.340749,0.33371556,0.35268697,0.40508148,0.4849031,0.56603837,0.62247187,0.6431423,0.6433306,0.6448505,0.66013724,0.68038964,0.68594486,0.6611321,0.60694236,0.54016477,0.48085544,0.44043985,0.41822186,0.40834698,0.4064337,0.41255847,0.42925194,0.4588178,0.5003241,0.5480952,0.59286076,0.6234148,0.6304421,0.6085492,0.5624175,0.5053627,0.45515797,0.4224125,0.4076847,0.4042195,0.4062417,0.41244197,0.42470136,0.44269434,0.46181092,0.4741869,0.47548747,0.46646821,0.45301017,0.44010875,0.4308441,0.42518902,0.42239752,0.4211863,0.42045116,0.41902804,0.41621098,0.41261646,0.41014335,0.41054937,0.4131964,0.41534138,0.41423842,0.4093263,0.40271136,0.39856055,0.404183,0.42689678,0.4702734,0.5263612,0.5778056,0.60342115,0.59117126,0.5441216,0.4811072,0.42567372,0.39400303,0.38628194,0.39156842,0.39710057,0.39726236,0.3924779,0.3857619,0.37899932,0.37363517,0.37253964,0.3807323,0.4050556,0.44813517,0.50564,0.56382775,0.6073292,0.623349,0.6071989,0.5633943,0.5058563,0.45306328,0.41731396,0.39941368,0.39071813,0.38375798,0.3779008,0.37916017,0.39213976,0.41500703,0.43770003,0.45047215,0.4495186,0.4401857,0.4293153,0.42106315,0.4148747,0.40993896,0.40610406,0.4040893,0.40379775,0.4051298,0.40807697,0.41296205,0.4195448,0.42676333,0.43223393,0.43318343,0.4277049,0.41670057,0.40478244,0.40011474,0.4131554,0.44888496,0.50178987,0.5532209,0.5862744,0.5955732,0.59086967,0.5832734,0.57468295,0.5589945,0.5290833,0.48705837,0.44039288,0.40045074,0.37313068,0.3600488,0.35638833,0.35674265,0.35681918,0.35906664,0.3715774,0.40441164,0.45940652,0.5257611,0.58254236,0.61028093,0.59966785,0.5562284,0.4954939,0.4365629,0.39237353,0.36733356,0.35755086,0.3576747,0.3635129,0.37495944,0.39235747,0.4145689,0.43537232,0.44772634,0.44756648,0.43802515,0.42576444,0.41748464,0.4165254,0.4229358,0.4334191,0.44240484,0.44518325,0.44113612,0.43422183,0.42892185,0.42625841,0.42375776,0.41936433,0.41421843,0.411186,0.41078588,0.41180503,0.41471004,0.42815733,0.4631345,0.52725434,0.6104798,0.6905791,0.73658913,0.73044854,0.67224073,0.5863065,0.5040325,0.44954145,0.42650995,0.42335477,0.42478094,0.42202255,0.4138893,0.40324378,0.3932728,0.38721797,0.38781333,0.398392,0.42260918,0.46324933,0.5190225,0.5800201,0.62994605,0.65099376,0.6348934,0.5864381,0.5224405,0.46204427,0.4175664,0.39058518,0.37438786,0.3627881,0.35518357,0.35738406,0.37285337,0.39710954,0.41770685,0.42501652,0.41855308,0.4061809,0.3945776,0.38478526,0.37419927,0.36194727,0.35071525,0.34317234,0.33989552,0.33856007,0.33809876,0.33900735,0.3435205,0.3515539,0.3608098,0.36722276,0.36879477,0.36653006,0.3665572,0.37735167,0.40714756,0.45205426,0.49672928,0.51748896,0.505519,0.46735477,0.42288992,0.38214478,0.34570527,0.3061959,0.2619344,0.21643655,0.17662883,0.14645435,0.12588915,0.11211127,0.10294042,0.097805955,0.0971005,0.09989982,0.10372114,0.10521015,0.10262523,0.09662897,0.09018478,0.08595023,0.08471376,0.08463717,0.08310457,0.07842486,0.071042605,0.062788606,0.055575997,0.05027388,0.046680734,0.044176776,0.042437006,0.041839976,0.04329467,0.04774815,0.055305768,0.06503578,0.07523889,0.084435456,0.091672935,0.09669614,0.099589236,0.10086485,0.101136826,0.10100757,0.10058426,0.099529706,0.09695072,0.091780454,0.083348274,0.07284201,0.06455434,0.06516566,0.079889566,0.10746837,0.13937311,0.16461332,0.17739415,0.17962855,0.17766166,0.17609525,0.17577755,0.17622639,0.17881697,0.18663101,0.20047562,0.2167805,0.22929506,0.23365426,0.22896892,0.2158997,0.19534127,0.16965443,0.14537407,0.13084216,0.13151483,0.14530821,0.16425556,0.17876752,0.18294455,0.17664184,0.16457681,0.15227997,0.1423493,0.13500173,0.13139747,0.1355441,0.15020569,0.1727236,0.19528739,0.2104462,0.2151369,0.2101384,0.1979422,0.18185349,0.16650876,0.15611829,0.15227042,0.15280901,0.15496181,0.15718059,0.16009808,0.16331995,0.16559553,0.16459195,0.15956873,0.15136711,0.14386697,0.14289647,0.15346353,0.17459244,0.19840169,0.21471055,0.21792571,0.2085142,0.19073182,0.16983469,0.15283495,0.1461228,0.1522054,0.16594975,0.17932843,0.18652646,0.18815626,0.1876999,0.1889403,0.19417876,0.2054935,0.22351475,0.24567266,0.265779,0.277714,0.27948284,0.27418354,0.26664153,0.25997198,0.25461254,0.2499236,0.24556048,0.24163389,0.23823662,0.23524423,0.23255177,0.23008884,0.22768752,0.224887,0.22107641,0.2156666,0.20836662,0.19930778,0.18936227,0.17994855,0.1726809,0.16839902,0.16692989,0.1671353,0.16767041,0.16709082,0.16388427,0.15659301,0.14462937,0.12925404,0.1135466,0.101679616,0.097008176,0.10075434,0.11081936,0.12277881,0.13176484,0.13499542,0.13252096,0.12646964,0.11946014,0.11360981,0.11011637,0.10930672,0.11047419,0.112204604,0.11264142,0.11054058,0.1059393,0.10069248,0.097554505,0.09853127,0.10325142,0.1090328,0.112678684,0.112577386,0.10959769,0.106107324,0.104493536,0.10553648,0.108187445,0.10983857,0.10815386,0.10227222,0.09376951,0.08570254,0.08142736,0.08258524,0.088151336,0.09429004,0.09677719,0.093743,0.08735004,0.082021415,0.08113167,0.08455811,0.088948585,0.090260334,0.08640259,0.07868696,0.07095037,0.067202285,0.06912529,0.07507306,0.08145758,0.08498272,0.08464914,0.081565134,0.078006424,0.07596144,0.07688143,0.08137506,0.08923771,0.09887791,0.10778045,0.11325579,0.11399319,0.110241465,0.10354039,0.09558749,0.088053875,0.08231909,0.079356976,0.0792129,0.080954365,0.08337122,0.0857589,0.08841771,0.092063464,0.09735324,0.10448169,0.11340604,0.12372211,0.13433461,0.14334494,0.14864771,0.14897628,0.14459313,0.13714825,0.12911338,0.12269954,0.11909852,0.11775723,0.11687457,0.11445608,0.10976368,0.10384833,0.09885529,0.09664262,0.09743249,0.099722646,0.10117368,0.10023443,0.097100236,0.09357765,0.091771245,0.09264516,0.095398,0.09809584,0.09892038,0.09722101,0.09364275,0.089834414,0.08749431,0.08772626,0.08999448,0.09248536,0.09277133,0.08975018,0.084187694,0.07868322,0.07583681,0.07686565,0.08053151,0.08403947,0.08474308,0.08203096,0.077464044,0.07348505,0.07163764,0.07189497,0.07312108,0.074100755,0.07417967,0.07335002,0.07186901,0.06987383,0.06727118,0.06406935,0.060837846,0.05884905,0.05935949,0.06250927,0.06673566,0.069577575,0.06925902,0.06566677,0.060092915,0.054131016,0.048972715,0.045143228,0.042663574,0.04118529,0.040226724,0.039464492,0.038755286,0.038128804,0.037532877,0.036948618,0.036433786,0.03664529,0.039197866,0.046698082,0.061333258,0.082985945,0.108079195,0.1311624,0.14759791,0.15586512,0.15705097,0.15351461,0.14736801,0.1404808,0.1343512,0.13002032,0.12755348,0.12619345,0.12506887,0.12418265,0.124809586,0.12865701,0.13638116,0.1464079,0.15553159,0.16035552,0.15886211,0.15066774,0.13720082,0.121474296,0.10788021,0.100441754,0.10084829,0.10688859,0.11351002,0.115502656,0.110743515,0.101416074,0.09258324,0.08912457,0.09267119,0.101060025,0.10968117,0.11472007,0.11501243,0.112484254,0.11039134,0.111275166,0.11548477,0.120903015,0.12442752,0.123770095,0.119161546,0.11295862,0.10837388,0.10741987,0.109961204,0.113731585,0.115760505,0.11413432,0.10905319,0.10257694,0.09718274,0.09450346,0.09454461,0.096061684,0.097294986,0.09705184,0.095133804,0.09231758,0.08968452,0.08802011,0.08734891,0.087065734,0.086414464,0.08506904,0.083231725,0.081381895,0.079855986,0.0787772,0.07805199,0.07752037,0.076951444,0.07618773,0.075262256,0.07443298,0.07397947,0.07391119,0.073951244,0.07378074,0.07331876,0.07269909,0.07205411,0.07140153,0.070688315,0.06990835,0.069088705,0.068286955,0.06756129,0.06695712,0.066419154,0.0657655,0.06476826,0.06331236,0.061507523,0.059640795,0.05805942,0.056969274,0.05639091,0.0561344,0.05598819,0.055780113,0.05546741,0.055031825,0.054487545,0.0538512,0.05317846,0.05248143,0.05172129,0.050831277,0.049832378,0.048831422,0.04796798,0.047324535,0.046915203,0.04670402,0.0466387,0.046665847,0.046739623,0.04681268,0.04684745,0.046851918,0.04689525,0.047061652,0.04732528,0.04751733,0.047402833,0.046880025,0.04604265,0.0451006,0.044185728,0.043303307,0.04240811,0.041525166,0.040731147,0.04008016,0.039537955,0.03903405,0.038498398,0.037919503,0.03730857,0.03669529,0.036076915,0.035447884,0.03482819,0.034280475,0.033856224,0.03351878,0.033163097,0.032689203,0.03210279,0.031483736,0.030915,0.030408658,0.029919028,0.029428536,0.028964423,0.028622568,0.028434776,0.028376533,0.028306184,0.028130004,0.027811728,0.027453115,0.02713559,0.026909485,0.026725972,0.026555305,0.02636321,0.026137343,0.025829278,0.02540329,0.02484469,0.02418756,0.023502188,0.022892483,0.022454388,0.022218062,0.022123119,0.022064561,0.021972368,0.021831596,0.021651186,0.021398203,0.021016581,0.020465828,0.019802274,0.019138232,0.018582327,0.01815042,0.017804263,0.017509615,0.01728191,0.017130861,0.017011248,0.016810397,0.016432596,0.015857788,0.0151819615,0.014544749,0.014057484,0.013719764,0.013447769,0.013138828,0.01275473,0.012317522,0.011879615,0.0114808,0.011147211,0.010874235,0.01062756,0.010377009,0.01017069,0.010177412,0.010590491,0.011461944,0.012572206,0.013522235,0.013956565,0.013763885,0.013090081,0.012194227,0.011311048,0.010563091,0.009979576,0.009509879,0.009087029,0.008650888,0.008186632,0.0077142194,0.0072758975,0.006906785,0.006617125,0.0064010695,0.006246628,0.0061492957,0.0060971137,0.006072931,0.0060556526,0.006031849,0.0059872232,0.0059418306,0.006091621,0.0069809793,0.0094888685,0.01430747,0.021334467,0.029348485,0.036696076,0.042110328,0.04535502,0.04683469,0.047112036,0.046486642,0.04510813,0.04314369,0.040848646,0.038525626,0.036401685,0.03457208,0.032979734,0.03147036,0.029902332,0.028205203,0.026401782,0.024584098,0.022846006,0.021256203,0.019792518,0.018415429,0.017109089,0.015938079,0.015045333,0.014647095,0.015074913,0.016584938,0.019136257,0.022162797,0.02485012,0.02658447,0.027266167,0.02724061,0.026893904,0.026535884,0.026230821,0.026023654,0.025834145,0.02565636,0.025419904,0.025108067,0.02463978,0.024012228,0.023263717,0.022532469,0.021905616,0.02141541,0.021001376,0.020612529,0.020215886,0.019795679,0.019334635,0.018789629,0.018165296,0.017477563,0.016816577,0.01622312,0.015740948,0.015314713,0.014908233,0.014448869,0.013952683,0.013439286,0.012982376,0.012591965,0.012265096,0.011955581,0.011640814,0.01130564,0.010945146,0.010573714,0.010204119,0.009876785,0.009587184,0.009336459,0.009065423,0.0087651545,0.00841966,0.0080999555,0.007841562,0.007687975,0.0075885057,0.0075005963,0.0073596365,0.0071678734,0.0069376347,0.006716818,0.006528504,0.006378355,0.006240399,0.006087728,0.005920649,0.0057536787,0.0056062243,0.0054525323,0.005266322,0.0050119045,0.004717728,0.004413509,0.00416409,0.003976242,0.0038601074,0.0037727074,0.0037009588,0.0036103271,0.003497337,0.0033414585,0.0031513872,0.002940967,0.0027479518,0.0025889075,0.0024615105,0.0023412479,0.0022221124,0.0021136058,0.0020336166,0.0019744628,0.0019151998,0.0018328418,0.0017288922,0.0016141981,0.0015025153,0.001394731,0.0012928778,0.0012046276,0.0011435809,0.0011155098,0.0011051861,0.0010918202,0.0010562757,0.0009999439,0.00092043146,0.0008188577,0.0006917901,0.00055791537,0.00044072498,0.0003616257,0.00031461983,0.00028508386,0.0002575335,0.00023480014,0.00022300862]