[0.0060521113,0.009993999,0.02167412,0.042919297,0.07239059,0.104054295,0.13071465,0.14739381,0.15386671,0.15287079,0.14840399,0.14345677,0.1394638,0.13607602,0.13234438,0.12761573,0.122054435,0.11601362,0.109887816,0.10383917,0.09810698,0.09278086,0.08799577,0.08374611,0.07988032,0.07604114,0.07196603,0.06776485,0.0638559,0.060636204,0.058261424,0.05652885,0.055174936,0.053937018,0.052947935,0.05233659,0.052170947,0.052118734,0.051852863,0.051118135,0.049858123,0.04812971,0.046146225,0.04418661,0.042402435,0.040754575,0.03918478,0.037754204,0.036604505,0.035762537,0.03511588,0.034436736,0.03355832,0.032462608,0.03134784,0.030418076,0.029711677,0.02911514,0.028591089,0.028263247,0.028193703,0.028264048,0.02825973,0.028174577,0.028179064,0.028474353,0.029016117,0.029567132,0.02977328,0.029513722,0.02897235,0.02859882,0.028565949,0.028585352,0.028091334,0.026928874,0.025538972,0.024583036,0.02427797,0.02427951,0.024034232,0.023276985,0.022075517,0.02067219,0.019806257,0.02128651,0.028582802,0.04440068,0.06802199,0.09301016,0.11126185,0.11810684,0.115756966,0.1101496,0.10579854,0.10396359,0.10436046,0.10777687,0.11473826,0.12354946,0.13001928,0.13117819,0.12765105,0.123379014,0.1210689,0.120823495,0.1203354,0.11861944,0.11583098,0.11300192,0.11017522,0.107759975,0.106420465,0.107279144,0.10977722,0.11227316,0.11238847,0.10936197,0.10353563,0.09629065,0.08818903,0.07951226,0.070694484,0.063630134,0.06059225,0.062351465,0.06674545,0.0698703,0.06892696,0.064071186,0.05785701,0.05278993,0.04950553,0.046841174,0.043332305,0.03874853,0.034059566,0.030701669,0.02922499,0.029314822,0.030020615,0.030724935,0.031119615,0.03116341,0.030695865,0.029586738,0.027881542,0.025890438,0.024021642,0.022569878,0.021634398,0.021105273,0.020741543,0.020299545,0.02033016,0.022869453,0.031485226,0.048344422,0.07144747,0.093744606,0.1080556,0.11161239,0.107420795,0.09987704,0.09117215,0.08147711,0.071587,0.06418782,0.061469406,0.06301123,0.06548816,0.06528848,0.061045945,0.05437613,0.048682794,0.046414312,0.047730666,0.05049154,0.052344244,0.0519792,0.04951064,0.045663863,0.041259162,0.036957234,0.03326457,0.030422824,0.028422793,0.027007094,0.025845228,0.02461491,0.023165865,0.021524424,0.01986664,0.01840733,0.0173421,0.016850011,0.016997809,0.017687354,0.018532062,0.019112982,0.019134862,0.018688517,0.018003529,0.017330857,0.016723901,0.016175749,0.015640358,0.015097403,0.014529201,0.013947777,0.013434143,0.013074496,0.012919744,0.012890999,0.012867884,0.012700256,0.012330081,0.011744832,0.011054903,0.010410014,0.010005186,0.009921164,0.010125588,0.010449793,0.010737744,0.010872166,0.010829727,0.01061854,0.010299727,0.009950756,0.009664781,0.009491502,0.009427727,0.009410362,0.009360111,0.009211909,0.008946626,0.00858188,0.008164224,0.0077939765,0.0077346438,0.008512681,0.010893275,0.015603442,0.023288095,0.034687344,0.051048785,0.07347119,0.10172626,0.1332081,0.16342409,0.18743885,0.20102362,0.20173538,0.18982436,0.1694798,0.14798103,0.13240056,0.12557273,0.1253977,0.12880093,0.13617414,0.15098827,0.17482369,0.20372148,0.23066442,0.251366,0.26667285,0.28006446,0.29295322,0.30387008,0.3096433,0.30825952,0.29910806,0.28323123,0.2616445,0.23525156,0.20499724,0.17450766,0.1508115,0.14208145,0.15266587,0.17881775,0.21133552,0.23996218,0.26020452,0.2707385,0.27189246,0.26188818,0.24272157,0.22160716,0.2106996,0.21664403,0.23668039,0.25897482,0.2741246,0.27924335,0.2792432,0.28180763,0.29721284,0.335391,0.39446768,0.4544326,0.48176786,0.45839322,0.39329937,0.31879854,0.26074278,0.22770114,0.21168752,0.20282869,0.19439282,0.18346329,0.16908419,0.15188374,0.1341799,0.11883464,0.10830751,0.10343634,0.10282775,0.10346142,0.10231299,0.098760016,0.09412251,0.09018921,0.086974286,0.08394358,0.08111958,0.07947707,0.07924382,0.080558494,0.085719876,0.10049146,0.12897357,0.16760226,0.20278038,0.21948278,0.21008588,0.17966396,0.1400946,0.1033206,0.0755362,0.057657864,0.047137987,0.040851105,0.036435824,0.03276267,0.029410059,0.026183756,0.022982143,0.019938435,0.018565074,0.023734912,0.0447634,0.0903422,0.15856475,0.23103814,0.28113678,0.29232207,0.26904702,0.2310106,0.19667394,0.17650385,0.1764803,0.2076081,0.27532974,0.36764893,0.44480157,0.46773645,0.4229467,0.3380469,0.25327787,0.19635956,0.16903244,0.16111578,0.16297005,0.1699339,0.17817421,0.18261631,0.17928112,0.16791247,0.15164572,0.13395272,0.117315166,0.10326732,0.0938102,0.09060899,0.09485885,0.10540989,0.11892474,0.12980342,0.13397367,0.13052393,0.12246105,0.11344888,0.10758386,0.108587325,0.11977464,0.14037515,0.16478951,0.18467987,0.19446142,0.19429912,0.18889351,0.18312424,0.17794277,0.17038609,0.1572953,0.13952388,0.122178786,0.11066798,0.10704768,0.10947946,0.114818,0.12040913,0.124418,0.12497152,0.12028817,0.109694034,0.09508547,0.08112818,0.07375431,0.0771279,0.09102776,0.11043974,0.1293505,0.14818375,0.17808472,0.23505466,0.3203523,0.40986955,0.46223953,0.45281562,0.3901217,0.31043127,0.24515845,0.20630343,0.18685658,0.17662561,0.16824792,0.157772,0.14216454,0.120247595,0.094311275,0.069265865,0.0496871,0.036974613,0.02957914,0.024886006,0.021207983,0.017996673,0.015347109,0.013306364,0.011780822,0.010558295,0.009463043,0.008379215,0.008350658,0.012839802,0.028894534,0.06283332,0.11434107,0.170832,0.2132811,0.22628866,0.20842992,0.17048603,0.1280075,0.092291415,0.06765044,0.052793622,0.044292703,0.03902452,0.035188485,0.031939074,0.028943626,0.025925023,0.022940733,0.020482026,0.02137029,0.031576794,0.06003079,0.11000148,0.17361243,0.2294898,0.25832173,0.25294626,0.22451931,0.1888657,0.16116244,0.15279698,0.17858613,0.24374963,0.33361635,0.40664014,0.42625582,0.3837569,0.3087559,0.2376396,0.1924194,0.17097308,0.1625037,0.15721257,0.15177631,0.14586353,0.14043717,0.13595228,0.13321339,0.13340555,0.13878965,0.15196586,0.17419414,0.20280659,0.23068118,0.2502159,0.25826666,0.25883257,0.25889322,0.26359126,0.2722287,0.2804022,0.2827225,0.276013,0.26047406,0.24034037,0.22384436,0.21832283,0.22588432,0.2399575,0.25140154,0.2531672,0.2438038,0.22462745,0.19961882,0.17575349,0.16200598,0.16455072,0.18250127,0.2084295,0.23312001,0.25002196,0.2569481,0.25507793,0.2477575,0.23943327,0.2340485,0.23293512,0.23309416,0.22856724,0.2148232,0.1932228,0.1711998,0.15901537,0.16614853,0.20184745,0.26713666,0.34896109,0.41442513,0.43482724,0.40395772,0.3482757,0.29982033,0.27599406,0.2709283,0.27070558,0.2647955,0.25100255,0.23218872,0.21351063,0.1995288,0.19276524,0.1923952,0.1953849,0.19848429,0.20078154,0.2041863,0.21118324,0.22186245,0.23282178,0.24017717,0.24260719,0.24223061,0.24200858,0.24440782,0.2522591,0.26979554,0.30004394,0.33925506,0.37506667,0.39082742,0.37653616,0.33456707,0.27955768,0.22736108,0.18774986,0.1601329,0.13973244,0.122473925,0.108717464,0.10125896,0.10225353,0.110856526,0.122911654,0.133438,0.13898283,0.13996162,0.14083813,0.14913493,0.17026758,0.20141111,0.22925757,0.23823273,0.22200407,0.18828143,0.15095758,0.12083464,0.105538845,0.115245245,0.16328558,0.24825649,0.3445777,0.40611982,0.4033943,0.3401668,0.2537665,0.17967474,0.13550152,0.11683583,0.11296594,0.114266254,0.114847064,0.110919185,0.10055194,0.08440433,0.065999925,0.05046467,0.042768683,0.04615426,0.0631259,0.09572741,0.14407401,0.20179768,0.25518772,0.28750992,0.28820702,0.25827733,0.20990707,0.16034742,0.12564747,0.11625708,0.1347902,0.17523743,0.22467093,0.2686151,0.29807577,0.31271574,0.31761345,0.3171067,0.31106806,0.2970773,0.274057,0.24483122,0.2140292,0.18467003,0.15734951,0.13255511,0.114495404,0.10816444,0.114413835,0.1258346,0.13310236,0.13290255,0.13202304,0.13959305,0.15880479,0.18297605,0.20288403,0.2128256,0.21476792,0.21649586,0.2306184,0.26916948,0.3306621,0.39344192,0.4234383,0.4032043,0.34419337,0.2786397,0.23072998,0.20573862,0.19524188,0.1906849,0.1881869,0.1863292,0.18426608,0.1810966,0.17683518,0.17204751,0.16758114,0.16383708,0.1606769,0.15760897,0.15425022,0.15032578,0.1457869,0.14095862,0.1365868,0.13323599,0.1307661,0.12847422,0.12618628,0.12545301,0.13034552,0.14564528,0.17280978,0.20563252,0.2312365,0.23690124,0.21803729,0.18084282,0.13756105,0.099892914,0.07449167,0.06338603,0.06521082,0.07637609,0.09088331,0.101869605,0.10432712,0.09768035,0.085606955,0.07328284,0.06513912,0.064078085,0.07221752,0.089583,0.11276388,0.13469736,0.14855362,0.15159284,0.14624035,0.13695358,0.12906356,0.13102843,0.15776114,0.22070391,0.3123511,0.39737964,0.43439922,0.40618238,0.33427826,0.2579782,0.20530958,0.18026708,0.172334,0.17013234,0.16715567,0.16083021,0.15046208,0.1365343,0.12037724,0.103977,0.08978852,0.08133706,0.08416996,0.10565434,0.15109879,0.21806009,0.29352736,0.35838303,0.3955644,0.39650437,0.36267778,0.30487916,0.24135242,0.19368397,0.17922443,0.20413369,0.26059136,0.3311924,0.39646867,0.44269624,0.46528146,0.4677181,0.4571712,0.4403653,0.4211175,0.40128112,0.38159904,0.3627704,0.3436568,0.3211391,0.29273173,0.25991705,0.22874004,0.20377557,0.18583457,0.17368847,0.16976415,0.1774599,0.19451594,0.21045041,0.21558882,0.21165717,0.21234111,0.23248209,0.27668282,0.33984664,0.40984663,0.4723157,0.5084014,0.5067091,0.47324383,0.4326736,0.40901184,0.40614477,0.41232824,0.41297492,0.40462804,0.38554156,0.35682824,0.321826,0.29626074,0.29451814,0.3204209,0.35749808,0.3857732,0.39079496,0.37233904,0.3361241,0.29238752,0.2500749,0.2149663,0.1863146,0.159637,0.13218482,0.10533994,0.08427313,0.074326195,0.08021275,0.10203115,0.13354492,0.16109972,0.17171133,0.15990476,0.13200967,0.09947431,0.07240901,0.054771315,0.0468346,0.04775462,0.05711457,0.07343832,0.093079396,0.11085734,0.122406565,0.12626542,0.12414809,0.11979442,0.117498875,0.12122676,0.13307847,0.1516134,0.17099309,0.18403108,0.18640435,0.1795763,0.16859633,0.1591491,0.15741001,0.1721526,0.21383494,0.28192762,0.35707307,0.40395787,0.39931926,0.34747612,0.27886072,0.22183473,0.18803687,0.17218633,0.16562212,0.16254166,0.1603577,0.15843993,0.15751702,0.15927655,0.16365652,0.16869037,0.17126806,0.17070971,0.16936906,0.17251305,0.18409409,0.20418797,0.22658044,0.24226908,0.24320929,0.22755682,0.20016736,0.17147118,0.15296982,0.15214728,0.16900027,0.19544189,0.22090757,0.23692559,0.24188377,0.2374139,0.22680591,0.21177505,0.19581883,0.183177,0.17652585,0.17291558,0.16564146,0.15109845,0.1324965,0.11781525,0.113272555,0.119989,0.13472323,0.1515987,0.16535147,0.17246412,0.17313023,0.16856056,0.16016276,0.14851344,0.13545726,0.12329324,0.11487334,0.115985006,0.1389046,0.19815557,0.29295972,0.39708278,0.46710452,0.47602797,0.4290984,0.35857478,0.29348418,0.24765594,0.2198106,0.20602648,0.20279121,0.207056,0.21437757,0.2198205,0.22014253,0.21505441,0.20712651,0.19953726,0.1942299,0.19110946,0.18872954,0.18578915,0.18192689,0.17802441,0.17493246,0.17303722,0.17195125,0.171411,0.17156403,0.17355923,0.17943989,0.19059639,0.20522696,0.21718733,0.21940033,0.20888148,0.18934716,0.16813731,0.151349,0.14113225,0.13742433,0.14030774,0.15087841,0.1687376,0.19094574,0.21223748,0.22838144,0.2371224,0.23865326,0.23447883,0.22960438,0.23292351,0.2544811,0.2944723,0.33959618,0.3672069,0.36470914,0.33476374,0.29423547,0.25716126,0.23445725,0.23371561,0.26650906,0.33502197,0.42199245,0.4870466,0.4938501,0.43538186,0.34096932,0.2509643,0.1903792,0.16131149,0.15362199,0.15787987,0.16818392,0.18110919,0.19311415,0.20170794,0.20556386,0.20534341,0.2023805,0.19842674,0.19533658,0.19560647,0.20179416,0.21461107,0.23147057,0.24731266,0.2577241,0.2614913,0.25991637,0.25481424,0.24686605,0.23700275,0.2267689,0.21824257,0.21129103,0.2045055,0.19623788,0.1883793,0.18419959,0.1864447,0.19279988,0.19784878,0.19561148,0.18409795,0.16520578,0.14283659,0.12036487,0.10048165,0.08674539,0.083752654,0.0946252,0.117901005,0.14674209,0.17311688,0.19154435,0.20186932,0.20616867,0.20658506,0.20277636,0.19424582,0.18153341,0.16930835,0.1675819,0.19260545,0.2566198,0.3518695,0.4423174,0.48318076,0.4542352,0.37586224,0.29036477,0.2303377,0.20320036,0.19917859,0.20475966,0.2109616,0.21359818,0.21254802,0.2092566,0.2053762,0.20235151,0.20201683,0.20645195,0.21590729,0.22842295,0.24000485,0.24737418,0.24774092,0.23977254,0.22345233,0.20270307,0.18502049,0.17790884,0.18309754,0.19520956,0.20647573,0.21340592,0.21729767,0.2213912,0.22566767,0.22861128,0.22773768,0.22373144,0.21853511,0.21565066,0.21615213,0.21915413,0.22166134,0.22176844,0.21859823,0.21233572,0.20279483,0.19068931,0.17755549,0.16677631,0.16245912,0.17075233,0.19451623,0.23002873,0.26237574,0.2769231,0.26783988,0.24544537,0.22517915,0.21953923,0.23358631,0.26941863,0.32671082,0.3952771,0.45284244,0.4729068,0.44616976,0.38704357,0.32452843,0.27969763,0.2570393,0.24834496,0.24394971,0.23847364,0.2313903,0.22454141,0.21952488,0.21619885,0.21343984,0.21054387,0.20825024,0.2079628,0.21099575,0.217964,0.22938304,0.24492502,0.26241755,0.27589107,0.27804813,0.2644501,0.23900037,0.21260343,0.19844417,0.20305692,0.22313313,0.24552238,0.25660297,0.24894291,0.22691418,0.20117296,0.18374513,0.18103053,0.19302128,0.21248662,0.22847486,0.23104335,0.2166947,0.1907094,0.16397256,0.14742245,0.14507008,0.15239464,0.15968251,0.16103894,0.1596027,0.16453339,0.1810838,0.20374711,0.21981895,0.21953125,0.20376228,0.18202211,0.16596587,0.1658168,0.1926579,0.25515893,0.34767246,0.44080746,0.49402237,0.4847672,0.42527667,0.350638,0.29058483,0.2552006,0.23907931,0.23292583,0.22915912,0.22287305,0.2123366,0.19910236,0.18685956,0.17947787,0.17869504,0.18353958,0.19028206,0.19586723,0.19986244,0.20484573,0.21277525,0.22239415,0.22971545,0.23072596,0.2238813,0.20986654,0.19094922,0.17046219,0.153012,0.1438598,0.14581679,0.15616924,0.16576453,0.16485961,0.14998364,0.127138,0.10590788,0.09203417,0.08496935,0.082506604,0.08582509,0.09764975,0.1172561,0.13674642,0.14647806,0.14126603,0.1245689,0.10388952,0.08583731,0.07286193,0.06511062,0.06216203,0.06342592,0.0670045,0.07012761,0.07096545,0.070233725,0.07002533,0.07167429,0.074680835,0.07836762,0.08289741,0.088895895,0.0952637,0.09977836,0.10059202,0.09827178,0.09436312,0.09022269,0.08629233,0.083239764,0.08171604,0.08157232,0.08157518,0.08054834,0.07856663,0.076286495,0.074054725,0.07141736,0.06838595,0.06549006,0.06335981,0.06143308,0.05860415,0.05443372,0.050778475,0.0520279,0.063215055,0.08731266,0.12219777,0.16180675,0.19875456,0.2282813,0.24913938,0.26269466,0.27171168,0.27832094,0.28345254,0.28505147,0.27958885,0.26326364,0.23628485,0.20382835,0.17555976,0.15907647,0.15566301,0.15974371,0.16576192,0.17380737,0.18835819,0.21191156,0.2393841,0.2617369,0.2711631,0.2658126,0.24725984,0.21926554,0.18690151,0.15771429,0.13994886,0.13825607,0.1540935,0.18812908,0.24699439,0.3319446,0.42892727,0.5012761,0.5165474,0.46937945,0.38909757,0.3129366,0.26219776,0.23639286,0.2254227,0.22155671,0.2215874,0.22439235,0.22771208,0.22849524,0.22436821,0.21545208,0.20409136,0.19341333,0.18543345,0.18018396,0.17622869,0.17211281,0.16754101,0.16316138,0.15970881,0.15763783,0.15718013,0.15829383,0.16106266,0.1669172,0.17964502,0.20183842,0.2313515,0.2590752,0.27617207,0.27875987,0.27128336,0.26027283,0.25130448,0.24600883,0.2439673,0.24308054,0.24122618,0.23678441,0.22963573,0.22054946,0.21153325,0.20511477,0.2041089,0.21040589,0.22572535,0.2524586,0.2903181,0.33216986,0.36190543,0.36584306,0.34192443,0.30355322,0.2665761,0.2395799,0.22408575,0.22336794,0.24794734,0.30031347,0.3655808,0.4091525,0.4073763,0.3612307,0.2984454,0.24499542,0.21259107,0.19667952,0.18950164,0.18618488,0.18524295,0.18588494,0.18674845,0.18676591,0.1859744,0.18552019,0.18678303,0.19039129,0.1958615,0.20196705,0.20770524,0.21251656,0.21557945,0.21495326,0.20830286,0.19444235,0.17456917,0.15277742,0.13568218,0.13119291,0.14343691,0.16912244,0.19628684,0.21249194,0.21141486,0.19706176,0.17746633,0.15941082,0.14499338,0.13505176,0.13185701,0.13862409,0.15556903,0.17754544,0.19690527,0.20857601,0.21264343,0.21263467,0.2122012,0.21376647,0.21818465,0.22522171,0.23323508,0.24001317,0.2433769,0.24275307,0.23887253,0.23420267,0.2319402,0.23870583,0.26359704,0.31428453,0.38431573,0.44995245,0.4803529,0.4618664,0.40760818,0.3471866,0.3030025,0.28003535,0.2704924,0.26612058,0.26294243,0.2606136,0.2587351,0.25656497,0.25296375,0.24761789,0.24066217,0.23315907,0.2268032,0.22346272,0.22363032,0.22579765,0.22715954,0.22584091,0.22171505,0.21634836,0.21088292,0.20555697,0.19955432,0.1935516,0.19140136,0.19933705,0.2214876,0.25400746,0.2864182,0.30735934,0.31408706,0.31140473,0.30663988,0.30095395,0.29082155,0.27286565,0.24954809,0.22722411,0.21065122,0.19938,0.18891452,0.17516829,0.15729713,0.1382458,0.12473878,0.12479997,0.14568208,0.18516274,0.23163001,0.2653549,0.274762,0.26004413,0.23479529,0.21155347,0.20014603,0.20659138,0.24035765,0.30315927,0.38115534,0.43973848,0.4493893,0.40482566,0.3327526,0.266425,0.22531565,0.20767558,0.20247237,0.2005576,0.19830418,0.19542737,0.19207728,0.18822108,0.18402724,0.17997356,0.17661788,0.17416203,0.17253189,0.17151354,0.17076923,0.16999514,0.16885032,0.16725565,0.16518302,0.16279094,0.16010548,0.15749691,0.15642451,0.16083872,0.17616332,0.20604211,0.24708585,0.28839025,0.31545725,0.31821978,0.29551196,0.25556824,0.2120594,0.17869294,0.1643184,0.17014807,0.19051538,0.21659444,0.24056192,0.25798634,0.2667334,0.2657335,0.25542423,0.23980802,0.22594462,0.22039813,0.22461353,0.2343722,0.2420456,0.24214602,0.23379064,0.22126281,0.20987062,0.20523082,0.21399729,0.24559279,0.30345502,0.37544417,0.43273115,0.44928905,0.42163393,0.37104034,0.32459164,0.2960576,0.2837042,0.27902874,0.2757838,0.27080777,0.26302454,0.25238755,0.24038337,0.22966482,0.223005,0.22188313,0.22553682,0.23144118,0.23676187,0.23966974,0.23941875,0.23552687,0.22792715,0.21740381,0.20592089,0.19521056,0.18598892,0.17911029,0.17755876,0.18625103,0.20635784,0.23193757,0.25082156,0.2550287,0.24506523,0.22974962,0.21659814,0.20891015,0.20521463,0.20318453,0.1999054,0.19224417,0.178114,0.15921949,0.14174205,0.13307263,0.13525988,0.14332306,0.15105014,0.16215448,0.19183035,0.25053334,0.32776913,0.39035702,0.4113164,0.38805094,0.3450222,0.3060119,0.28098786,0.2664397,0.26221728,0.27690974,0.31616798,0.36837184,0.4034462,0.39745665,0.3517487,0.2928496,0.24743591,0.22482078,0.21728492,0.21375196,0.2088096,0.20301755,0.19859032,0.19668804,0.19661523,0.19703792,0.19671847,0.19524711,0.19261928,0.18931963,0.18568128,0.18222904,0.17909981,0.17676175,0.17599829,0.17896014,0.18868034,0.20772839,0.23509939,0.2655135,0.2917001,0.30947033,0.31869987,0.32094273,0.31493354,0.29759976,0.26749846,0.22982235,0.19544683,0.17671694,0.17895472,0.19754261,0.22017135,0.23623383,0.24179704,0.23980813,0.2345097,0.22835815,0.22191453,0.21524219,0.20898645,0.20332335,0.19926031,0.19794734,0.20167382,0.2107799,0.2239377,0.2372781,0.24688728,0.25000346,0.24956228,0.25640982,0.2859504,0.34214377,0.4064425,0.44276568,0.42682624,0.3652023,0.291239,0.23592241,0.20996463,0.20481043,0.2076298,0.21005301,0.20934445,0.2054673,0.19967115,0.19309105,0.18638392,0.17956287,0.17304812,0.16747142,0.16306965,0.15910454,0.15470417,0.14977908,0.14517723,0.14184682,0.14014155,0.13940597,0.1384833,0.13687646,0.13624144,0.140469,0.15211906,0.16872387,0.18095714,0.17913918,0.1600958,0.13218902,0.10971258,0.10429016,0.117082596,0.13994975,0.16278203,0.18120266,0.19674383,0.2119447,0.22528906,0.234012,0.23715468,0.23763768,0.23783743,0.23787124,0.23594399,0.23186801,0.22815025,0.22786039,0.23166604,0.23675394,0.2396887,0.23888691,0.23565884,0.23435028,0.24356179,0.27590197,0.33728135,0.4157869,0.4789733,0.49600205,0.45977363,0.39347112,0.329759,0.28803658,0.26767874,0.2573867,0.24892266,0.2401867,0.23376821,0.23044245,0.22920394,0.22722246,0.22417666,0.22145921,0.22151972,0.22463733,0.23001283,0.23716009,0.24646385,0.2570784,0.26544234,0.26783612,0.26267204,0.2512494,0.23537296,0.21737953,0.20121174,0.19135816,0.18997256,0.19403021,0.19872707,0.20072384,0.20062037,0.19995607,0.1993847,0.19790636,0.19500582,0.19184513,0.19184823,0.1983792,0.21261425,0.23088372,0.24714737,0.25619486,0.25783053,0.25463265,0.24906749,0.24127872,0.23194961,0.22391753,0.22006702,0.21999359,0.21960735,0.21616882,0.21037851,0.20570087,0.20579292,0.21621017,0.2465462,0.30177328,0.3706821,0.42178717,0.42557362,0.37802717,0.30584377,0.24302666,0.20732677,0.19570132,0.19657476,0.2016079,0.20862637,0.2177567,0.22833605,0.23758204,0.24346443,0.24616604,0.24782892,0.24924038,0.24878784,0.24424689,0.23576486,0.22627215,0.21901566,0.21520324,0.21373272,0.21347864,0.21407087,0.21591274,0.21839374,0.22166587,0.22699864,0.2369154,0.2508535,0.26449126,0.27185455,0.2703406,0.26129177,0.24706537,0.22851817,0.20635301,0.18449439,0.16940005,0.1650251,0.16821517,0.16995871,0.16323872,0.14874785,0.13573982,0.1350816,0.15411617,0.19377255,0.25106022,0.31745422,0.3795435,0.41961718,0.42760935,0.40519488,0.36673972,0.32625583,0.294852,0.2797099,0.2895709,0.3287035,0.3884747,0.44446564,0.4678897,0.44683436,0.39268115,0.3326129,0.28734472,0.2634354,0.25318202,0.24711941,0.23986483,0.23389323,0.23418696,0.24345557,0.25857237,0.27380058,0.28473225,0.29046622,0.29201126,0.29060435,0.2870138,0.2817504,0.27492958,0.26649216,0.256477,0.24559404,0.23482265,0.22526486,0.21733052,0.21163188,0.20976579,0.21496792,0.22955985,0.25138825,0.2742013,0.2908655,0.2980355,0.29355025,0.27511683,0.24077187,0.19618128,0.15598148,0.1370095,0.14649923,0.17702031,0.21290444,0.24078579,0.25631258,0.26229706,0.2638115,0.2642387,0.26479563,0.26570332,0.26691398,0.2682502,0.26900926,0.26876327,0.26764825,0.26594803,0.2637354,0.2638897,0.2753158,0.31031534,0.3703289,0.43754992,0.48041305,0.47964945,0.44083777,0.38997623,0.34994006,0.32949162,0.3241463,0.32582617,0.32855132,0.32979915,0.33012828,0.3311809,0.33411407,0.3387142,0.34380937,0.34799254,0.34964088,0.34733164,0.3407867,0.33204165,0.32526922,0.3239198,0.32813153,0.33386552,0.33610997,0.3314573,0.32013586,0.30547526,0.29329303,0.28840494,0.29113272,0.29629025,0.2980381,0.29495203,0.29024056,0.28641775,0.28158218,0.27041045,0.24929671,0.21939701,0.1871816,0.16026776,0.14359844,0.13666005,0.13608254,0.13918251,0.14621283,0.1595845,0.18308087,0.2215385,0.27685905,0.34196076,0.3983585,0.42631304,0.41851676,0.38614348,0.3485385,0.31971464,0.30391416,0.30321276,0.32434806,0.37166503,0.43406916,0.48272014,0.4912236,0.45812765,0.40764508,0.3677341,0.34874213,0.3440652,0.34304973,0.34162447,0.34101772,0.3430852,0.347384,0.35189387,0.35447738,0.35389468,0.3500496,0.3440036,0.33757898,0.33249936,0.3293567,0.32739353,0.325281,0.32226908,0.31845808,0.31436858,0.31006268,0.30550203,0.30086768,0.29716387,0.29417217,0.28952065,0.27823785,0.2566535,0.22533222,0.19092004,0.16325808,0.15008156,0.15189338,0.16094165,0.16680413,0.16350774,0.15293074,0.14115034,0.13268356,0.12792218,0.12471739,0.121341765,0.117563635,0.11481565,0.11597475,0.12562001,0.14770998,0.18265055,0.22444288,0.2640368,0.2940347,0.31345508,0.32512584,0.33402538,0.3455284,0.3680592,0.40597954,0.45320034,0.48890352,0.49388167,0.46431598,0.41766343,0.3761408,0.3533363,0.34795094,0.3518614,0.35710952,0.36054385,0.3620137,0.36217043,0.36077356,0.35785905,0.35423848,0.35094616,0.3477089,0.34330848,0.33670953,0.32830942,0.31947628,0.3116974,0.30545798,0.30046085,0.29646483,0.29417178,0.29467258,0.2982931,0.3042299,0.31115416,0.31789446,0.32247794,0.3213515,0.30958822,0.2844197,0.24859823,0.21078716,0.17992662,0.15923221,0.14526911,0.13434993,0.12664972,0.12503816,0.12801959,0.13055307,0.1281539,0.12405893,0.12476885,0.13662992,0.16120721,0.20055513,0.25239336,0.30873576,0.3515043,0.368312,0.359398,0.34074458,0.32657465,0.3239162,0.33329532,0.35904682,0.40547144,0.46552595,0.515052,0.52586395,0.4895927,0.42460617,0.3622063,0.3225734,0.30738178,0.30718115,0.3127152,0.31940892,0.3253203,0.33023342,0.33382523,0.33593842,0.33531237,0.33089802,0.3224547,0.31161562,0.3011392,0.29390982,0.29144597,0.292796,0.29460737,0.29301742,0.28684542,0.2789383,0.27403304,0.27441004,0.2781686,0.28150058,0.2820107,0.27965924,0.27410528,0.26414332,0.2471289,0.22255997,0.19176696,0.1599822,0.13324171,0.11697295,0.11162618,0.11252933,0.11176858,0.10338339,0.08678525,0.066661574,0.049029876,0.03745174,0.031896893,0.030604163,0.03213954,0.035975322,0.041643724,0.047740165,0.053247023,0.05988677,0.07396174,0.10090705,0.13999929,0.18387818,0.22968702,0.28362933,0.3502982,0.41821232,0.46076414,0.4614642,0.4267352,0.3816855,0.34498355,0.32091197,0.3018874,0.28025016,0.25265583,0.21976465,0.18482018,0.15148409,0.12503766,0.11103225,0.11340944,0.12998284,0.15208417,0.1702708,0.18035996,0.18641347,0.19339442,0.20219807,0.20570241,0.19744633,0.17675368,0.15294439,0.13653272,0.13336416,0.14075299,0.153538,0.16712916,0.17859368,0.18344833,0.17763464,0.16123156,0.14221655,0.13260274,0.14002587,0.16096325,0.18262841,0.19415927,0.1941721,0.18988788,0.18665941,0.18426807,0.18062134,0.17841984,0.18351226,0.19700353,0.2117824,0.21752442,0.21061301,0.19662271,0.1841981,0.17698018,0.17285936,0.16956425,0.16799587,0.17032157,0.17565566,0.18008815,0.17860322,0.16874342,0.15115656,0.13042644,0.11262227,0.103792004,0.10775301,0.12506934,0.15253337,0.1832888,0.21067376,0.2305597,0.24311948,0.24963753,0.25125232,0.24843855,0.2423604,0.2350292,0.22829072,0.22351106,0.22106002,0.22057338,0.2201593,0.21682411,0.20833176,0.19576459,0.18426557,0.1791371,0.18128027,0.18565892,0.18647026,0.1834355,0.18262966,0.19055997,0.2066536,0.22356297,0.23241271,0.22934806,0.21468277,0.19120078,0.16295369,0.13730796,0.12319974,0.12541781,0.14069234,0.1589684,0.17181043,0.17697714,0.179835,0.18695588,0.20237754,0.22444005,0.24903636,0.27071,0.28570318,0.29126796,0.28845477,0.27985367,0.26816118,0.2521226,0.2330224,0.22065498,0.23680134,0.29540452,0.38653132,0.4700111,0.507131,0.48540533,0.42863512,0.3695158,0.32856002,0.30566594,0.29252434,0.28177118,0.27106583,0.2602761,0.25000003,0.2397817,0.22957133,0.21966934,0.21168053,0.20652837,0.20451862,0.20495452,0.20716743,0.20995378,0.2117988,0.21139747,0.20858115,0.20414825,0.19882612,0.19308406,0.1873474,0.18304975,0.18154158,0.18315877,0.18558373,0.1855074,0.18050025,0.17128235,0.16075401,0.15289707,0.15038109,0.15383123,0.16043465,0.1662743,0.16872825,0.16892423,0.16943793,0.17124437,0.17254937,0.17110781,0.1671431,0.16540366,0.17407696,0.20246805,0.2514081,0.30974174,0.35438403,0.3687122,0.3510071,0.31754136,0.28505227,0.26396507,0.25698522,0.26848066,0.30286255,0.3557808,0.4079776,0.43414286,0.42229715,0.3819048,0.33476236,0.297189,0.27326652,0.25966343,0.25258347,0.24971761,0.24886848,0.24797042,0.24559985,0.24130434,0.23543805,0.22927828,0.224501,0.22220838,0.22211671,0.22313817,0.22392172,0.22344029,0.22092782,0.21660645,0.21132098,0.20663147,0.20355761,0.20330088,0.20627731,0.21261542,0.22036017,0.2263354,0.22655503,0.21923345,0.20572545,0.19039977,0.17772967,0.16982369,0.16598023,0.16476487,0.1669874,0.17523928,0.19131176,0.21260728,0.23375122,0.24981181,0.25940004,0.2633444,0.26245913,0.25738442,0.24964458,0.24315172,0.24112375,0.2442795,0.24882893,0.25055006,0.24705948,0.23961262,0.2321145,0.23185802,0.2504849,0.2970273,0.3664894,0.43299174,0.4641876,0.44545248,0.39210737,0.335793,0.29992506,0.28826627,0.2913563,0.29887918,0.30576965,0.3109566,0.31529596,0.3191861,0.32294372,0.32611445,0.32867682,0.33044645,0.3313444,0.33113363,0.32992938,0.32844356,0.32744613,0.3271534,0.32691333,0.32561097,0.32241586,0.31712008,0.31076828,0.30527255,0.3026805,0.30237347,0.30040312,0.29062757,0.27026436,0.24228083,0.21449913,0.19343466,0.18081425,0.17371158,0.16852657,0.16375126,0.16049315,0.16053937,0.16466755,0.17149101,0.17860325,0.18394764,0.18721078,0.19031245,0.19752298,0.21537833,0.24773723,0.29019347,0.32721946,0.34172764,0.32722422,0.29312965,0.25614378,0.22840512,0.21548223,0.2214997,0.25430235,0.31397292,0.38425222,0.43185103,0.43317458,0.3906807,0.333403,0.28973094,0.2710958,0.27101174,0.27879047,0.28760004,0.29507998,0.30095503,0.30568147,0.31009018,0.31456807,0.3186514,0.3215141,0.32284763,0.32304707,0.3227614,0.32223094,0.321341,0.3199456,0.31822076,0.3167969,0.31616783,0.31658718,0.31825566,0.3231384,0.33470133,0.35434505,0.3755488,0.38434076,0.36823165,0.32759818,0.27606905,0.23081683,0.20072241,0.18473202,0.17658955,0.17147952,0.16829272,0.16870475,0.1743405,0.18389918,0.19383828,0.20046604,0.20314424,0.20365204,0.20513362,0.20993818,0.21978682,0.23467927,0.25291637,0.27008677,0.28199336,0.28647852,0.28580645,0.28367814,0.28503004,0.29506782,0.32107368,0.36413762,0.4133701,0.44439325,0.4379221,0.39400855,0.3343806,0.2834989,0.25311932,0.23997796,0.2353524,0.23394156,0.23448731,0.23744826,0.2416873,0.24556285,0.24774075,0.2484584,0.24797225,0.2458858,0.24156587,0.23577495,0.23132275,0.23114865,0.23592198,0.24277514,0.24762298,0.24813962,0.24521692,0.24114092,0.24014618,0.24950032,0.28058943,0.33633807,0.40284923,0.448096,0.44817138,0.40338802,0.34070012,0.28776297,0.2572448,0.24463384,0.24111587,0.24216837,0.24751818,0.25766507,0.26966822,0.2788264,0.28088036,0.27587387,0.26656142,0.25608563,0.24521393,0.23458171,0.22601865,0.22294797,0.2264964,0.2348082,0.24381904,0.25054848,0.25371507,0.25460947,0.25842297,0.27436674,0.30912885,0.35680142,0.39697993,0.40796277,0.38499513,0.34330964,0.30476037,0.28095946,0.27297622,0.27881584,0.30082783,0.337315,0.3783081,0.40499136,0.40703496,0.3874855,0.3619248,0.3417742,0.33115926,0.32904616,0.3378389,0.3605257,0.39306656,0.42091942,0.42753926,0.40880194,0.37569222,0.34512246,0.32551396,0.31668583,0.31674805,0.3298501,0.3585788,0.39560232,0.42092845,0.4179574,0.38640264,0.3440558,0.3103397,0.29427168,0.294607,0.30919698,0.3388307,0.37926325,0.41608492,0.42848587,0.40716672,0.36087894,0.31150842,0.27512288,0.25680688,0.2540704,0.26857582,0.3015045,0.3466104,0.38265547,0.3889692,0.35902977,0.30823955,0.2578332,0.22231455,0.20591475,0.21224415,0.24672063,0.30667743,0.3725117,0.4134867,0.4113003,0.3722718,0.3218844,0.28193763,0.26033643,0.25183684,0.24799842,0.24153805,0.22888549,0.2102542,0.18919998,0.16982025,0.15467119,0.14392288,0.13679625,0.1323977,0.13030882,0.1297644,0.12955825,0.12804292,0.12425977,0.11823934,0.11103966,0.103854686,0.09758869,0.09273228,0.089720435,0.08941675,0.09325308,0.102799736,0.11822263,0.13713175,0.15449683,0.16515118,0.16609554,0.15844344,0.14607418,0.13414459,0.12622586,0.123905666,0.12650298,0.13244832,0.13937442,0.14450906,0.14483999,0.13897686,0.12814762,0.116453804,0.10767624,0.10350955,0.1025137,0.1026661,0.102478236,0.101511866,0.09944254,0.09609448,0.091978855,0.08841697,0.08673518,0.087059654,0.088051446,0.08796677,0.08627639,0.08412356,0.08327871,0.084239185,0.08584926,0.08619693,0.08439914,0.08099147,0.07744246,0.074883245,0.073438786,0.072212905,0.07013151,0.06691787,0.063347474,0.060772955,0.060313623,0.062598504,0.067695625,0.075140394,0.08399442,0.093045086,0.10120381,0.1078327,0.112894155,0.11696067,0.120262824,0.12248885,0.12283061,0.1222213,0.12383618,0.13210805,0.14876801,0.17093666,0.19224231,0.20733286,0.21480559,0.21716078,0.21767266,0.21830438,0.21911697,0.21962821,0.21942222,0.21836524,0.21592504,0.21081565,0.20120423,0.18550162,0.16432638,0.1414276,0.123561405,0.11680073,0.12301514,0.13831085,0.15591437,0.17021562,0.1782551,0.17859076,0.17257166,0.1682008,0.18299955,0.23121403,0.30852595,0.3840002,0.42286873,0.4113393,0.36751655,0.3209756,0.2911675,0.27895033,0.2754731,0.27174115,0.26292434,0.24724776,0.22507292,0.19787706,0.16893573,0.14196987,0.120019525,0.103463955,0.090879165,0.08049408,0.07169362,0.06475648,0.059897035,0.0568219,0.054870065,0.053626716,0.05286291,0.052873593,0.05524294,0.063712515,0.082212664,0.11025262,0.13976645,0.15823835,0.157091,0.13739482,0.108488835,0.0808193,0.060780093,0.04972246,0.04671627,0.05040594,0.05934435,0.07102523,0.08200165,0.08957648,0.09318468,0.09447211,0.09629768,0.10416633,0.12705864,0.17413087,0.24317126,0.31541803,0.362088,0.36667237,0.33475327,0.28966156,0.25202283,0.23163919,0.23033655,0.25087216,0.29504588,0.3524848,0.3978283,0.40404376,0.36545646,0.30221343,0.244016,0.20764549,0.19173206,0.1871509,0.18731897,0.19084166,0.19711287,0.20499396,0.21194273,0.21596615,0.21565019,0.2114142,0.20470707,0.19751352,0.1910129,0.18609254,0.1832592,0.18295372,0.18440126,0.1862974,0.18714426,0.18655503,0.18482739,0.18346484,0.18466306,0.19100921,0.20275253,0.21701604,0.22779316,0.23010643,0.22188671,0.20554668,0.18537138,0.16597919,0.1500448,0.13845867,0.13105603,0.1278681,0.12892927,0.1328262,0.1366797,0.1377668,0.13572462,0.13173018,0.12660617,0.11958634,0.109905355,0.09785813,0.085020564,0.07303325,0.0642375,0.06193396,0.069360934,0.08640874,0.10961453,0.13750051,0.17631473,0.2349573,0.310784,0.3814713,0.41815794,0.4088324,0.36831915,0.3241295,0.29530707,0.28427485,0.2841736,0.28791514,0.2916145,0.29278484,0.28979132,0.28160024,0.26887673,0.2537397,0.23960789,0.22931951,0.22380088,0.22165857,0.2206846,0.2191646,0.2164402,0.21238698,0.20747268,0.20224477,0.19758523,0.19372003,0.19148546,0.19187634,0.19710387,0.20683964,0.2177168,0.22185425,0.21319157,0.19017963,0.15866865,0.12671812,0.10123683,0.08467994,0.07631139,0.07387902,0.07524829,0.07923002,0.08514207,0.09223449,0.09895774,0.10367478,0.10602706,0.10889708,0.11862328,0.14408565,0.18962972,0.24961342,0.3053237,0.33697888,0.33575395,0.31069636,0.2792361,0.25523642,0.24558403,0.25376546,0.2843989,0.33409426,0.38679203,0.4160842,0.4061196,0.36212686,0.30695537,0.2617692,0.23508112,0.22369558,0.22042115,0.21992482,0.2196591,0.2195837,0.21980943,0.21976931,0.21807711,0.21405508,0.20798142,0.200976,0.19481902,0.1918356,0.19413245,0.20182116,0.21259286,0.22222622,0.22729927,0.2268223,0.22354929,0.22184964,0.22579157,0.23665114,0.25312993,0.27153167,0.28680322,0.2936565,0.28849742,0.27149677,0.24724549,0.22250926,0.20245315,0.18722428,0.17434633,0.16225351,0.15373987,0.15194742,0.1575995,0.16732053,0.17805153,0.18821543,0.19766462,0.2050197,0.20840645,0.20698725,0.20211141,0.1955489,0.18722747,0.1754536,0.1601352,0.14522582,0.13650729,0.13914436,0.15737444,0.19788583,0.26211974,0.33816537,0.39759913,0.41708228,0.39587435,0.35773084,0.32766917,0.31523404,0.3142273,0.31520417,0.3133643,0.3085219,0.30234775,0.29687414,0.29343712,0.291618,0.2892538,0.28455973,0.27818117,0.27289233,0.27112556,0.27259257,0.27482602,0.27524617,0.27368513,0.2716365,0.2708563,0.27113637,0.2721469,0.274866,0.2824128,0.2954139,0.30840054,0.3105353,0.29336277,0.2579029,0.21436097,0.17464148,0.14500062,0.12513699,0.112050176,0.10372645,0.099754155,0.10051438,0.10620368,0.116218604,0.12830846,0.13905883,0.14554276,0.1474319,0.1488086,0.15770842,0.18396129,0.23010762,0.28734434,0.33560276,0.35996306,0.35801294,0.34233776,0.3251412,0.3135196,0.308695,0.31558028,0.33929276,0.37665927,0.408435,0.41177237,0.37938198,0.32772997,0.2817934,0.25579908,0.2473486,0.24750441,0.24993646,0.2529962,0.25611055,0.25847507,0.25910583,0.25756705,0.25416425,0.2500629,0.24729972,0.2479939,0.253916,0.2657435,0.28318816,0.30358782,0.32204697,0.3314714,0.32635716,0.30566278,0.27534053,0.24572165,0.22711466,0.22413671,0.2335499,0.24609955,0.2522791,0.24825847,0.23710978,0.22568585,0.21901156,0.2181316,0.22017777,0.22137046,0.21978833,0.21725287,0.2177824,0.223705,0.23370719,0.24453926,0.2539588,0.26074305,0.2629529,0.25865567,0.2486522,0.23803453,0.23262636,0.23497444,0.24209912,0.24886431,0.25087288,0.24731328,0.24146084,0.24198134,0.26198596,0.30920038,0.37495884,0.43083486,0.4479951,0.41881767,0.36327735,0.31013,0.27559856,0.25821242,0.24947006,0.24458437,0.24411945,0.24885325,0.25705197,0.26449597,0.26759169,0.26473284,0.25718176,0.2477374,0.23896654,0.23172367,0.22555488,0.22013086,0.21576877,0.21285348,0.2110548,0.20956022,0.20771664,0.20559978,0.20457257,0.2068823,0.21430282,0.2250425,0.23309857,0.23031478,0.21231009,0.18148096,0.14623934,0.11544267,0.09423328,0.082824,0.078659125,0.07882738,0.081062645,0.08356983,0.0846555,0.083446294,0.08058181,0.07800791,0.07719302,0.07959605,0.08858282,0.11215111,0.15582182,0.21452467,0.26803893,0.29543072,0.29002807,0.26445976,0.23741476,0.21987998,0.21484475,0.22372156,0.25139353,0.29558584,0.3419448,0.36620355,0.35472545,0.31313488,0.26294884,0.22279292,0.19947135,0.18914182,0.18557654,0.18469244,0.18472408,0.18507534,0.18544948,0.18601596,0.186713,0.18704511,0.18598305,0.18431449,0.18539727,0.19423832,0.21285625,0.23829044,0.2631522,0.28000796,0.28379485,0.27356857,0.25211105,0.22632171,0.20536275,0.19865559,0.21077882,0.2396016,0.2749604,0.30532318,0.32211468,0.3246893,0.3169389,0.30501625,0.29380086,0.28633168,0.28292444,0.28172338,0.2805692,0.2779081,0.27224234,0.260674,0.24148689,0.21597777,0.18960704,0.16667093,0.14970137,0.13901044,0.13603385,0.14030959,0.14801903,0.15306967,0.15358238,0.15465601,0.16504703,0.19019139,0.23123711,0.28682926,0.35180092,0.41215184,0.4467822,0.44324216,0.4089588,0.36747316,0.3378078,0.32410258,0.3183662,0.31197596,0.2988967,0.2757067,0.2428407,0.20872694,0.18762077,0.1889102,0.20833415,0.23005374,0.24036163,0.23617448,0.22443974,0.2121108,0.20170455,0.19035123,0.17486028,0.15353966,0.12860641,0.1036809,0.08321028,0.070645995,0.07042557,0.08520142,0.11340386,0.14636075,0.17417143,0.19156313,0.20073779,0.20604885,0.20943673,0.2098142,0.20626093,0.19992785,0.19314598,0.18779056,0.18442875,0.1828233,0.18242325,0.18282044,0.18355273,0.18398045,0.18310988,0.18009938,0.17471902,0.1674035,0.15857439,0.14807385,0.13570422,0.122098595,0.109223425,0.099070944,0.09233152,0.08827535,0.086369835,0.088525206,0.097572595,0.11519512,0.13778716,0.15939741,0.17394264,0.18034369,0.18023153,0.17674462,0.17134458,0.1648758,0.1578936,0.15120135,0.14523032,0.13972682,0.13417523,0.12825985,0.122489594,0.117654674,0.11485366,0.1145097,0.11727819,0.12262385,0.12907648,0.13246453,0.12862033,0.115053274,0.09401053,0.07084909,0.051932324,0.041138064,0.03923781,0.044037182,0.05241987,0.0611898,0.06833151,0.07256025,0.07366794,0.07187137,0.06834319,0.06462674,0.062389378,0.061860632,0.06194356,0.060804725,0.058078542,0.0549356,0.053375144,0.054493207,0.05835161,0.06415069,0.07025991,0.074305534,0.07393941,0.06859429,0.060199246,0.05242692,0.04849413,0.049059156,0.05202641,0.056196425,0.06697536,0.09847102,0.1628717,0.25499678,0.34612057,0.4019507,0.40783373,0.37806198,0.34051064,0.3144138,0.30333212,0.30136362,0.30312285,0.30597857,0.3091354,0.31165278,0.31297976,0.31314304,0.31296042,0.3125097,0.3110369,0.30720147,0.3010391,0.29388788,0.28786853,0.2840724,0.28236082,0.28148675,0.2802563,0.27810666,0.27546096,0.27343178,0.27287588,0.27333167,0.27147785,0.26248628,0.24233991,0.21215622,0.17743897,0.14584033,0.12210146,0.107213534,0.098714866,0.09379218,0.09108186,0.0916378,0.09693443,0.10677307,0.118275225,0.12825954,0.13517448,0.13984007,0.14458697,0.15347633,0.17269985,0.20565574,0.24742489,0.28228205,0.29516646,0.28235966,0.25526348,0.22886562,0.21261261,0.21063238,0.22872148,0.27465385,0.34407616,0.4128523,0.4456531,0.4257902,0.36801186,0.3072987,0.26878926,0.25544688,0.2556565,0.2588316,0.26119947,0.26307133,0.2651403,0.26748073,0.26986602,0.27208492,0.27411607,0.2762665,0.2792225,0.28337312,0.28843662,0.2929574,0.29525733,0.29434443,0.29100573,0.28733504,0.2855781,0.28668055,0.29022524,0.29524353,0.30110654,0.3059255,0.30523193,0.29255673,0.2650464,0.22700484,0.1887254,0.15911263,0.1411132,0.13210124,0.12851165,0.1281378,0.1297065,0.13060288,0.12813544,0.12178888,0.11706213,0.1210557,0.13785458,0.16252072,0.18733273,0.20761693,0.22635071,0.24818163,0.2737743,0.2983811,0.31604615,0.32456145,0.32579085,0.32402745,0.32479545,0.33532032,0.36322984,0.40665054,0.44991693,0.46762624,0.44711602,0.39741874,0.3447732,0.31015292,0.2998326,0.3068645,0.321195,0.33532318,0.34578618,0.35267702,0.35713282,0.35980654,0.36024508,0.35884428,0.3568933,0.35592356,0.35592648,0.35619035,0.35572147,0.35403642,0.35070682,0.34585488,0.34026313,0.3351872,0.33127096,0.32833624,0.3252016,0.32042062,0.31154487,0.29672578,0.27581793,0.2529288,0.23343647,0.22122698,0.21565692,0.21431305,0.21481717,0.21567535,0.2155398,0.21345915,0.20981295,0.20491351,0.1985246,0.18992811,0.17990363,0.16999899,0.16230547,0.1611408,0.17641228,0.21926714,0.28943822,0.36577845,0.4160936,0.42153466,0.3920076,0.35558796,0.33435938,0.33205652,0.3432299,0.3667047,0.4039466,0.4476715,0.47680733,0.47263178,0.43440267,0.3828585,0.34195888,0.32382157,0.3240709,0.33122694,0.33626935,0.33709362,0.3364165,0.33655742,0.33723184,0.33659235,0.33464506,0.3332328,0.33413708,0.3376594,0.34308907,0.35042635,0.35917076,0.3677419,0.37227392,0.36932036,0.35777745,0.34064153,0.3235145,0.311703,0.30759212,0.30833828,0.30744788,0.2966512,0.27164143,0.23338042,0.18885057,0.14679177,0.116009176,0.104404576,0.11972266,0.16729395,0.24333322,0.32868543,0.39305595,0.41177008,0.38493642,0.33690497,0.29847458,0.2839776,0.2909611,0.311697,0.34660506,0.39442992,0.4442028,0.4716891,0.46194947,0.41813472,0.3627629,0.31606567,0.28986597,0.2873575,0.31296706,0.36715195,0.43815994,0.49791303,0.5196003,0.49597764,0.44508016,0.39154434,0.34932527,0.3175244,0.29129216,0.2695547,0.25391865,0.24303736,0.23099066,0.21213447,0.18656261,0.16196603,0.14688574,0.14410603,0.14678718,0.14644636,0.14001845,0.13461791,0.13962968,0.15948647,0.18837911,0.21601327,0.23337525,0.23757727,0.22885817,0.20986879,0.18471126,0.16197716,0.15085973,0.1569554,0.17665656,0.19992377,0.21574791,0.21846569,0.2092737,0.19396581,0.17938946,0.17078815,0.1709302,0.1795708,0.19274335,0.20358552,0.20565967,0.19707416,0.18107767,0.16271077,0.14515464,0.12899129,0.11449895,0.10254007,0.094403856,0.08962687,0.08677449,0.08460266,0.08394428,0.08652351,0.092566855,0.09985453,0.10499382,0.106474645,0.10488814,0.10188229,0.09797866,0.09318453,0.08768178,0.082498215,0.07827699,0.07502565,0.0724157,0.070528515,0.06941383,0.06860887,0.06752462,0.06620646,0.06526041,0.0648073,0.06435038,0.06364485,0.063342564,0.064343505,0.066736095,0.07010659,0.074508965,0.081203975,0.09243443,0.10953071,0.13199742,0.15599243,0.17775846,0.1950646,0.20978154,0.22387572,0.23765147,0.24827288,0.2530083,0.25070676,0.24179183,0.22629668,0.20514517,0.18214972,0.1658331,0.16300523,0.17327625,0.18575966,0.1896491,0.18283103,0.1762017,0.18183464,0.2031606,0.23112528,0.25369808,0.26357457,0.25996616,0.24405043,0.21746112,0.18473475,0.15527882,0.13960253,0.14344595,0.16670956,0.20837688,0.26977298,0.3469135,0.4225254,0.46960568,0.47171417,0.43636665,0.3880551,0.34854558,0.3244803,0.31243697,0.30672273,0.3054199,0.30796978,0.3140894,0.3212401,0.3265752,0.32819882,0.32694218,0.32405892,0.32041895,0.31574622,0.3104345,0.30499676,0.30053803,0.29774538,0.29762533,0.30038512,0.30605504,0.31294104,0.3191572,0.3224081,0.32304326,0.32060483,0.31331384,0.29585883,0.26698226,0.23102641,0.19818588,0.17564644,0.16536506,0.16372864,0.16671689,0.17166,0.17800957,0.18518783,0.19136332,0.19355178,0.19036843,0.18356532,0.17763056,0.17719914,0.18696354,0.21175516,0.2541622,0.3082774,0.35810292,0.3863823,0.38729438,0.37042537,0.3504176,0.33621475,0.32885095,0.3306724,0.3487191,0.38850942,0.44051227,0.4805901,0.48528945,0.45257333,0.4018229,0.35854816,0.33465743,0.32771194,0.32847956,0.33134615,0.33433068,0.33728662,0.3391646,0.33935773,0.33773828,0.3353387,0.33279023,0.33140004,0.33141688,0.3328706,0.33392212,0.33400145,0.33277014,0.33118546,0.32828745,0.32349864,0.31624746,0.30885658,0.30381772,0.30395544,0.307244,0.30768132,0.29520044,0.26510572,0.220472,0.1727367,0.1321125,0.10372084,0.08683419,0.08021198,0.08529773,0.10506079,0.14009924,0.1843671,0.22756171,0.26006868,0.27875924,0.28607395,0.28671643,0.28413293,0.2807164,0.2788305,0.28059903,0.28644624,0.2940296,0.29964527,0.30008122,0.2944543,0.28401944,0.2741007,0.27442643,0.2986542,0.35228777,0.42323688,0.47953263,0.49169526,0.45382953,0.3900396,0.33332315,0.30291164,0.2973505,0.30443266,0.31385574,0.32094786,0.32514814,0.3269154,0.32686138,0.3255603,0.32389823,0.3230865,0.3243049,0.32756445,0.3316274,0.3345475,0.33535364,0.3343356,0.3327291,0.3316318,0.33145785,0.3320664,0.33309984,0.3345394,0.3362259,0.3367853,0.3334289,0.32353786,0.30776665,0.2901219,0.27557576,0.2660942,0.25986066,0.25256947,0.24025296,0.22148533,0.19877976,0.17732285,0.16183834,0.15299915,0.14759205,0.14059573,0.129274,0.11418146,0.1015585,0.10077248,0.122312106,0.16685744,0.2237798,0.27244893,0.29989278,0.30582204,0.30275333,0.30096623,0.30548075,0.3178867,0.3436766,0.3871193,0.44066003,0.48061666,0.48128423,0.4370035,0.3685083,0.30742037,0.27258456,0.26328805,0.26784045,0.27648532,0.28487313,0.29196405,0.2974585,0.30148098,0.30471715,0.30791596,0.31136957,0.3152596,0.31978324,0.32529208,0.33132815,0.3369651,0.3412167,0.34401318,0.34575438,0.3467256,0.3467475,0.34570885,0.34423876,0.3438625,0.34605494,0.35031223,0.35293487,0.34816208,0.33187437,0.304009,0.26829514,0.22972287,0.19324441,0.16399883,0.14664082,0.14499521,0.16002811,0.19060667,0.23135424,0.27373326,0.30652002,0.3219683,0.31917155,0.30551735,0.2912983,0.28550956,0.29210556,0.31039461,0.33422777,0.35484314,0.36465004,0.3626381,0.3538687,0.3460851,0.3463861,0.36109567,0.3934895,0.43685365,0.4727668,0.47976673,0.45194733,0.40306333,0.35724083,0.3290912,0.31939855,0.31978118,0.32321623,0.326207,0.32770577,0.3271449,0.32428646,0.3202311,0.31672657,0.3155706,0.31665543,0.3186508,0.31993866,0.32022297,0.319872,0.3188821,0.31637862,0.3117036,0.30522308,0.29850534,0.2929925,0.29011223,0.29095855,0.29722765,0.30739546,0.31636098,0.314715,0.29790506,0.26802513,0.23523195,0.2079676,0.19065036,0.18172944,0.17841746,0.1774012,0.17582722,0.17086203,0.16192096,0.15203778,0.14749838,0.15228082,0.16341977,0.17291981,0.17829584,0.19140224,0.23007707,0.29946235,0.3786734,0.4354926,0.45044592,0.43138158,0.40054688,0.37622836,0.36476386,0.36791694,0.38926926,0.42718744,0.4671426,0.48245445,0.4569284,0.3970389,0.33070588,0.28203622,0.25953415,0.25569582,0.26105002,0.26933128,0.27819863,0.285769,0.29106197,0.2939767,0.2953798,0.29552266,0.2939682,0.29052293,0.28617367,0.28292012,0.2820031,0.2832552,0.28532755,0.2874931,0.29050642,0.29655764,0.3071904,0.32152572,0.33537412,0.34363702,0.3422848,0.3300731,0.30739465,0.27651575,0.2407701,0.20435219,0.17143296,0.14643104,0.1347238,0.14012742,0.16263355,0.19585156,0.23099637,0.26039657,0.28165352,0.2960687,0.30611286,0.31275448,0.31524608,0.31290427,0.30547944,0.29440114,0.28156042,0.27006778,0.26195896,0.25901845,0.26106036,0.26726317,0.2743175,0.2811942,0.29199478,0.31900397,0.3691616,0.4320025,0.47688437,0.47735485,0.433604,0.37393144,0.32972217,0.3129585,0.31582117,0.32485202,0.3325391,0.33742115,0.34020665,0.34182397,0.34290007,0.3439972,0.34456894,0.34443125,0.34320888,0.3415533,0.3390646,0.3363532,0.333276,0.3308297,0.3282795,0.32595888,0.32342124,0.32171416,0.32038996,0.32021686,0.32133424,0.32410872,0.32374397,0.3124065,0.28213292,0.23454528,0.18053305,0.13636456,0.1127241,0.110613145,0.121861435,0.13591547,0.1468028,0.1549599,0.16435035,0.17606048,0.18772143,0.1955897,0.1985476,0.1972583,0.1941443,0.1934176,0.20296355,0.22898136,0.2699692,0.3118906,0.33759952,0.33750817,0.31744337,0.2913114,0.27286968,0.2707058,0.29101846,0.33536473,0.3943073,0.44467697,0.46218017,0.4399029,0.39443788,0.35289702,0.3330333,0.33529827,0.34748027,0.3565874,0.35632327,0.34927323,0.34154248,0.33714542,0.33544043,0.33479762,0.33511886,0.33785176,0.34267512,0.34770525,0.35069928,0.35115203,0.34908244,0.34467614,0.33792105,0.32993856,0.322065,0.31569007,0.3111639,0.30915943,0.30933306,0.30913487,0.30234614,0.282626,0.24937212,0.21010752,0.17681162,0.15759186,0.15328555,0.15809506,0.1651141,0.16948862,0.17121543,0.17332317,0.1787012,0.18614258,0.19169576,0.19282265,0.1902924,0.18607648,0.180454,0.17582005,0.17746712,0.19230604,0.21879746,0.24887578,0.2713442,0.2829806,0.28565612,0.28508857,0.28638658,0.29708263,0.32493612,0.37009093,0.41849434,0.4467801,0.44056344,0.40615878,0.36508074,0.3362968,0.32370195,0.31927344,0.31187376,0.29703602,0.2768847,0.2582359,0.24530447,0.2392327,0.23799644,0.24077426,0.24600117,0.2511197,0.25189945,0.24699225,0.23955049,0.23531902,0.23754598,0.24374713,0.24872923,0.2487296,0.24514337,0.24116224,0.238984,0.23755975,0.23650233,0.23754518,0.2450066,0.26031613,0.28097835,0.2995438,0.30911806,0.30418593,0.2848355,0.25622687,0.2306423,0.21922167,0.22529201,0.23742382,0.24014457,0.22488149,0.20011145,0.18324809,0.18862246,0.21641888,0.2529162,0.28121927,0.29144153,0.28724888,0.27896032,0.27647385,0.28157616,0.29039347,0.2958232,0.29302993,0.28036287,0.26257816,0.2477678,0.24370348,0.24900381,0.2545131,0.24882825,0.23051822,0.20758915,0.19112355,0.18244655,0.17468886,0.16133887,0.14840032,0.14998353,0.17612003,0.22133227,0.26959753,0.30634105,0.3273606,0.33659515,0.3395134,0.3392088,0.3368831,0.3333775,0.32939017,0.32459125,0.31769964,0.30658585,0.28968373,0.26640558,0.23834622,0.2098661,0.1889485,0.18540215,0.2044986,0.24067438,0.278006,0.3003885,0.3013185,0.28350672,0.25263342,0.21324532,0.17378406,0.14729469,0.1458147,0.16982996,0.20675212,0.2398901,0.25891915,0.26443645,0.26258278,0.25968817,0.25861466,0.2600995,0.26273355,0.2631406,0.25629818,0.24007124,0.21905273,0.20303409,0.19848312,0.20405905,0.21732198,0.24570096,0.30127385,0.38219956,0.46054482,0.5012798,0.49079502,0.44862035,0.4071649,0.38675722,0.3871815,0.3970568,0.40651667,0.41203216,0.41540396,0.42006692,0.42765057,0.43770242,0.4472997,0.45412862,0.45593873,0.45285836,0.4459078,0.438087,0.43195876,0.4285128,0.4258959,0.4212396,0.4134383,0.4036932,0.39415598,0.3859116,0.3799838,0.37766036,0.37962973,0.38341573,0.38444278,0.37927616,0.36824954,0.35286117,0.3333514,0.30840862,0.2793767,0.2503647,0.22650303,0.20998192,0.20069133,0.19750662,0.20027202,0.20921022,0.2245121,0.24472988,0.26838195,0.2940975,0.32321525,0.3549066,0.38582066,0.4072217,0.41391614,0.40543684,0.38791516,0.36469325,0.33693936,0.30812952,0.29260787,0.3085042,0.35980022,0.42446724,0.4675715,0.46881962,0.43732205,0.39924428,0.3751271,0.3687867,0.37367538,0.38272476,0.39278933,0.40280184,0.41203856,0.41937637,0.4239432,0.42536044,0.4241515,0.42146298,0.41875944,0.41710496,0.41720295,0.41893327,0.4216852,0.42404878,0.4250214,0.42403603,0.42161548,0.41833892,0.41533566,0.41331026,0.4119312,0.40696862,0.3911543,0.35760775,0.3071153,0.24993418,0.20248313,0.17786308,0.17933422,0.19917591,0.22517534,0.24954051,0.27198958,0.29588738,0.31967327,0.3360126,0.33625844,0.31826988,0.28737304,0.25407308,0.22932369,0.22187029,0.23507385,0.26586905,0.30515036,0.34245118,0.3701398,0.38647267,0.3936992,0.39649272,0.4007747,0.4149731,0.4443839,0.48359695,0.5123467,0.50905484,0.4682794,0.40785125,0.35416448,0.32413876,0.31758317,0.3251642,0.3374177,0.3501856,0.36214364,0.37293497,0.3808031,0.38508216,0.38696805,0.38941655,0.39361688,0.39802885,0.39988187,0.3979317,0.39320144,0.38774404,0.38353708,0.38180986,0.3828958,0.38622138,0.39015618,0.3929222,0.39242566,0.38786092,0.37819538,0.36320516,0.341274,0.31292856,0.28000367,0.24808173,0.22192103,0.20446055,0.19370277,0.18546629,0.17672043,0.16821899,0.16320115,0.16205883,0.1613195,0.15615314,0.14702575,0.14051287,0.14570202,0.16956234,0.2154332,0.28198516,0.35759878,0.4202772,0.4473821,0.4343381,0.3973817,0.36152053,0.3413328,0.34072888,0.3602145,0.40240142,0.46030393,0.51108956,0.52403975,0.4867358,0.4158057,0.34564385,0.30087495,0.28482926,0.28600362,0.29253754,0.29859588,0.303341,0.3079994,0.31342158,0.3188852,0.32197928,0.3205875,0.31455195,0.305828,0.29704118,0.29000327,0.2854958,0.2834383,0.2832993,0.28361043,0.2822819,0.27716652,0.26761723,0.25436518,0.23995595,0.22843951,0.22512285,0.23296751,0.24832202,0.26108372,0.26050863,0.24260165,0.21156006,0.17633297,0.14623158,0.12818916,0.124810815,0.13234325,0.14130516,0.14135367,0.1274376,0.102853425,0.076082535,0.05516671,0.043841418,0.041568995,0.045791954,0.05341606,0.06164767,0.06788901,0.07037682,0.06993275,0.07137799,0.083201945,0.10965896,0.14879678,0.19314045,0.24444908,0.30722088,0.38100585,0.44374457,0.47200754,0.45851967,0.42410383,0.3941947,0.37998223,0.3729879,0.35891315,0.3302164,0.2882747,0.24017291,0.19246036,0.15148981,0.12253553,0.11125287,0.11847278,0.13937163,0.16393901,0.18474208,0.19985032,0.21250688,0.2241603,0.23097296,0.225156,0.20333464,0.17235202,0.1467642,0.13821942,0.14685136,0.16373773,0.17906196,0.18869711,0.19138318,0.18524641,0.16817607,0.1429794,0.120506205,0.112986326,0.12541616,0.1493326,0.17109948,0.18217678,0.18509538,0.18692894,0.19071479,0.19426955,0.19459154,0.19276409,0.19124353,0.19068061,0.18861265,0.1831826,0.17576051,0.17032887,0.17015135,0.17545556,0.18377776,0.19143587,0.19591844,0.19684725,0.19630457,0.19568603,0.19336414,0.18503238,0.16769852,0.1441443,0.12208867,0.11134604,0.11671641,0.13552406,0.15743603,0.17308219,0.18104802,0.18894355,0.20461325,0.22761638,0.24989863,0.26347578,0.26735607,0.26623556,0.26571107,0.26795265,0.27151635,0.27257177,0.267259,0.25424775,0.23630513,0.21926135,0.20803542,0.20339768,0.20158495,0.19728506,0.18747312,0.1734543,0.1598811,0.15119445,0.14852417,0.14944328,0.14985542,0.14592806,0.13489042,0.11618698,0.0932441,0.0730874,0.06369131,0.068626545,0.08537979,0.10604677,0.12314048,0.13364099,0.1405167,0.14912795,0.16248564,0.17957525,0.1965189,0.210199,0.219581,0.22592764,0.23027098,0.23172379,0.22646551,0.21069717,0.18394215,0.1514134,0.12097743,0.09874996,0.08673071,0.084240235,0.09045961,0.10363293,0.11990267,0.13290286,0.13696094,0.13018902,0.1155493,0.09884414,0.08508223,0.07614874,0.07103485,0.06770847,0.06503412,0.06256439,0.06015933,0.05728446,0.053830802,0.05017309,0.04701289,0.044591736,0.042775318,0.041511934,0.040978175,0.041106835,0.041298885,0.04090203,0.039969206,0.03909408,0.038742717,0.038688023,0.038539987,0.038236532,0.038021278,0.037891287,0.037464265,0.03649061,0.035228968,0.034183856,0.033557523,0.033101406,0.03259288,0.032044288,0.031535424,0.030842155,0.029651515,0.028022371,0.026454441,0.025448496,0.024999337,0.024741238,0.024294542,0.02357959,0.022699455,0.021850698,0.021176428,0.020740613,0.020426458,0.020107709,0.01976195,0.01960417,0.019808225,0.020343548,0.020902606,0.021194115,0.02110632,0.020707455,0.02007019,0.019244103,0.018317593,0.017445771,0.016738612,0.01621484,0.015854565,0.015690522,0.015735967,0.015955925,0.016287195,0.016723158,0.017137518,0.017101139,0.016012078,0.013591151,0.010280683,0.0069647357,0.0044003543,0.0027731762,0.0018616851,0.0013364953,0.0009900116,0.0007261789,0.00051538943,0.0003667014,0.00030034478,0.00032359644,0.00041201455,0.00052607316,0.00063246017,0.0007127719,0.0007681285,0.0008144555,0.00088586524,0.0010058988,0.001174056,0.0013571152,0.0015254488,0.0016699428,0.0018087836,0.0019624054,0.0021455004,0.0023485834,0.002552109,0.0027208505,0.0028468964,0.0029318167,0.0030052362,0.0030735803,0.0031598613,0.0032755556,0.003446269,0.0036384154,0.0037928838,0.003838975,0.003786225,0.003694782,0.0036588574,0.003732063,0.0039440407,0.0042654276,0.0046411497,0.00497827,0.0052201026,0.005346769,0.0054040006,0.005456612,0.0055770804,0.005787061,0.0060428004,0.006249726,0.006340833,0.0063339924,0.00630844]