[0.038310573,0.04452377,0.060566943,0.08563245,0.11420814,0.13934407,0.15659398,0.16787636,0.17793012,0.19199443,0.21262051,0.24058628,0.2732909,0.30590466,0.3323583,0.3492405,0.3573288,0.36108184,0.36558256,0.37328112,0.38333234,0.39260104,0.3984954,0.39957476,0.39550686,0.38628146,0.3728533,0.35727644,0.34078464,0.3215991,0.29548952,0.2604446,0.22031103,0.18315573,0.1557165,0.13909233,0.12964678,0.12203843,0.1127209,0.10072288,0.088503756,0.08116469,0.08610014,0.10976861,0.15308431,0.20844452,0.26226392,0.30373272,0.32969558,0.34425163,0.35190418,0.35482016,0.35256603,0.34427425,0.3290088,0.30610493,0.27589014,0.24027114,0.20231609,0.16540447,0.13244005,0.10585817,0.086975284,0.07577446,0.07063481,0.069364585,0.06994131,0.07110655,0.07211641,0.072631784,0.07260254,0.0722008,0.07170057,0.0719393,0.075042546,0.084707595,0.10355464,0.1304893,0.15920855,0.18275869,0.19734879,0.20473903,0.20838511,0.21102045,0.21313255,0.21459585,0.21493232,0.21387105,0.21155678,0.20898306,0.20682006,0.20386876,0.19742222,0.18632458,0.17368068,0.16520895,0.16435744,0.16907787,0.1739872,0.17496169,0.17147236,0.1650229,0.15736844,0.15045466,0.14789148,0.15401147,0.17096321,0.19550622,0.2200164,0.2370217,0.24351485,0.24109377,0.23233573,0.21832454,0.19925715,0.17707886,0.15584183,0.13958019,0.1297696,0.12520579,0.12396166,0.124729514,0.1271707,0.1308911,0.1361192,0.1434723,0.15442604,0.1691101,0.18570618,0.20009233,0.20864497,0.21017201,0.2068801,0.2024772,0.2000495,0.2000053,0.19976439,0.19458173,0.18049413,0.15732396,0.12983789,0.105140865,0.08809817,0.07943365,0.07758882,0.083266445,0.09904933,0.12591559,0.1579618,0.18505935,0.19824755,0.19553185,0.18004565,0.15667285,0.12940408,0.10208429,0.07860949,0.06161788,0.051296365,0.04571192,0.042609606,0.040552292,0.039040666,0.037947383,0.03710402,0.03629702,0.035363927,0.03430946,0.033244673,0.03229251,0.031511214,0.030854894,0.030211778,0.029453961,0.028555142,0.027623631,0.02682961,0.026279122,0.025960652,0.025814034,0.025733769,0.02558808,0.025554098,0.027083628,0.033628467,0.049541224,0.07650543,0.11060407,0.14323904,0.16644585,0.17758083,0.17919399,0.17565948,0.1693653,0.16146694,0.1524369,0.14393498,0.1370821,0.13233872,0.12893985,0.12621398,0.12440329,0.12438494,0.12676956,0.13086878,0.13571514,0.14235266,0.15544735,0.18100701,0.22051711,0.26691332,0.30800474,0.33548525,0.3510425,0.36243558,0.37396145,0.3806342,0.371521,0.338905,0.28612068,0.22942746,0.19168417,0.18823761,0.21565078,0.24992163,0.26402953,0.24469645,0.2016676,0.15458985,0.12031949,0.10487837,0.10946792,0.13333867,0.1732406,0.21928424,0.25804177,0.27892712,0.27945146,0.26318341,0.23560977,0.20162125,0.16599755,0.13369226,0.10839939,0.091575146,0.08353392,0.08613545,0.103070974,0.13560115,0.17744829,0.21480484,0.23454054,0.23291005,0.21732964,0.1986016,0.1826186,0.1684406,0.15395172,0.14139478,0.13711585,0.14554422,0.16431578,0.18550684,0.20164628,0.21021187,0.21270621,0.21064818,0.2029103,0.18672204,0.16100256,0.12911421,0.09982888,0.08484068,0.093996316,0.12918018,0.1817892,0.2362162,0.27863395,0.30365825,0.31476772,0.3178225,0.3164095,0.31010064,0.2984819,0.28217766,0.26401323,0.24601722,0.22997367,0.21639477,0.20605582,0.19863962,0.19323964,0.18791579,0.18111426,0.17214926,0.16169186,0.15150176,0.14327925,0.13783865,0.13402696,0.13012837,0.124871634,0.118844725,0.11322331,0.10878098,0.104998685,0.10088032,0.09565779,0.08932489,0.08246723,0.07605108,0.07101494,0.06774188,0.065803744,0.064343356,0.06349245,0.065255575,0.072497755,0.08627876,0.10358367,0.118956834,0.12761194,0.12879823,0.12468583,0.11854289,0.11223092,0.106527425,0.101486266,0.09731925,0.09457942,0.094611555,0.09949472,0.110764384,0.12750639,0.14537685,0.15858334,0.16318347,0.15931736,0.15052098,0.14096554,0.13363539,0.12898444,0.12624305,0.12415779,0.12437605,0.13232268,0.15596633,0.19956295,0.25762632,0.3152266,0.35387173,0.36205426,0.3401815,0.30183256,0.26539826,0.24407203,0.23701572,0.23167169,0.21503489,0.18526234,0.15442412,0.13904007,0.1485761,0.17925124,0.21895616,0.2556353,0.28328994,0.30192235,0.31447235,0.32401708,0.3317639,0.33713412,0.33855572,0.33514953,0.32672155,0.31350788,0.29590714,0.2749884,0.25254828,0.23045409,0.21019338,0.19261909,0.17809902,0.16639018,0.1568398,0.14886796,0.14228715,0.13725889,0.13366415,0.13091755,0.12873821,0.12939605,0.13943255,0.16754031,0.2172597,0.2809261,0.34164283,0.38500962,0.40738606,0.41437998,0.40988627,0.39130273,0.35371938,0.29875362,0.2365424,0.1795967,0.13564692,0.10656133,0.09359691,0.10240834,0.1387227,0.20077114,0.27318498,0.33713362,0.3810104,0.40785027,0.4256065,0.43936384,0.44744143,0.44705668,0.43613935,0.41320267,0.37552795,0.32210478,0.25657085,0.18829937,0.1282535,0.08389127,0.056247205,0.041225698,0.03330652,0.028319927,0.025521694,0.027941877,0.04177937,0.070304394,0.10803183,0.13906248,0.14795989,0.13108298,0.10008794,0.071863614,0.058423664,0.06463387,0.09064883,0.13245225,0.17887795,0.21557538,0.23313451,0.23425277,0.22895771,0.22548296,0.22402535,0.22022255,0.21106273,0.19809295,0.18465509,0.1726601,0.16126914,0.14933603,0.13695215,0.12559448,0.116008036,0.107748955,0.0998167,0.0920507,0.08506326,0.079407595,0.07495806,0.07110211,0.06734725,0.063595936,0.060076058,0.057082426,0.0547822,0.053092778,0.05284348,0.056980703,0.071643375,0.10157738,0.14595722,0.19482763,0.23631139,0.26252544,0.2740673,0.274593,0.26695728,0.25190058,0.23049538,0.20581402,0.181233,0.15910178,0.13938023,0.12118271,0.10377463,0.08766397,0.07412622,0.0642995,0.058389336,0.055502325,0.05427748,0.05357563,0.052716807,0.05155951,0.05011851,0.048689637,0.0474164,0.046447087,0.045713704,0.04517426,0.04471484,0.04419555,0.04348665,0.042551905,0.04151195,0.04051875,0.03968961,0.039043486,0.038548782,0.038135294,0.037696864,0.037137687,0.03641105,0.03558136,0.035092488,0.036947664,0.045699414,0.06786204,0.10663289,0.1571322,0.2051052,0.2357344,0.24233074,0.23192997,0.21969509,0.22185509,0.24706423,0.29299927,0.34596416,0.38842955,0.40968978,0.41249648,0.40906298,0.40950203,0.415117,0.4200466,0.41898236,0.41035104,0.39539227,0.37515178,0.35052547,0.32282028,0.29470295,0.26912853,0.24941182,0.23728454,0.23275626,0.23279512,0.23408382,0.23391306,0.23217791,0.22940128,0.22654945,0.22371446,0.2210005,0.21840048,0.21607739,0.21415931,0.21229672,0.21066326,0.21015172,0.21334624,0.22091536,0.2308381,0.23736787,0.2376007,0.2321319,0.22618257,0.22383732,0.22920275,0.24442399,0.26945797,0.2982975,0.32134113,0.33098963,0.3267466,0.31433976,0.30031583,0.288051,0.27703074,0.26571426,0.25355178,0.24179716,0.23149677,0.22234774,0.21255635,0.20107687,0.18862961,0.1771519,0.1675623,0.15917863,0.1507681,0.1423298,0.13488251,0.12918994,0.124694295,0.12051941,0.11696643,0.116060555,0.1195248,0.12637997,0.13217805,0.13181598,0.12318186,0.10869812,0.09340891,0.081385486,0.07412214,0.07043293,0.068624385,0.06712397,0.06588256,0.06573736,0.06866839,0.075836115,0.08661612,0.09781613,0.105682194,0.108104296,0.10573504,0.10086421,0.09558319,0.09102102,0.08735764,0.084357955,0.08133387,0.07762579,0.07281155,0.06722612,0.06149328,0.056267682,0.051671594,0.047598723,0.04378007,0.040200964,0.036950305,0.03429089,0.032355294,0.0311358,0.030381719,0.029798428,0.02912929,0.028236398,0.027034683,0.025523007,0.023806049,0.0221531,0.0208377,0.020286001,0.022105282,0.030381598,0.051466,0.08923686,0.14028902,0.19233544,0.2319295,0.25200108,0.2557852,0.25091618,0.24389474,0.23688613,0.23004048,0.22300524,0.21499783,0.20349856,0.18460274,0.15603948,0.11987143,0.08307137,0.05343927,0.03705063,0.037033435,0.056486834,0.096168816,0.1518643,0.21099006,0.25955835,0.28957593,0.30414286,0.31133288,0.31758198,0.3237933,0.32848832,0.3304438,0.3301387,0.3279438,0.323427,0.3143903,0.2978287,0.27076486,0.23265958,0.18696107,0.14105687,0.10310086,0.07915329,0.07265102,0.08660851,0.12337997,0.18179023,0.25489417,0.3305751,0.3974894,0.44638148,0.47506392,0.48429164,0.48015925,0.46713313,0.44966877,0.4290798,0.40715274,0.38561353,0.3666761,0.35164955,0.34044454,0.33184263,0.32411376,0.31579348,0.30603066,0.29513875,0.2842188,0.2746335,0.26659897,0.2592919,0.251363,0.24236362,0.23285703,0.22403277,0.21678425,0.21135527,0.20734195,0.2040094,0.20070267,0.19712748,0.1933734,0.18960465,0.18575025,0.18211587,0.18031727,0.1843342,0.19770618,0.22007267,0.24429512,0.26136836,0.26676062,0.26313797,0.25618935,0.2490273,0.24383795,0.24286489,0.2494572,0.26143444,0.27248323,0.27483246,0.26811793,0.2578165,0.25159597,0.24960269,0.24537891,0.22994493,0.20149219,0.16529435,0.13080725,0.10667329,0.10178716,0.12416228,0.17540914,0.2442591,0.30948153,0.35326123,0.37198046,0.37518165,0.37368855,0.37149405,0.36648884,0.3570346,0.34531888,0.33445537,0.32430288,0.30959746,0.28523454,0.251613,0.21718174,0.19151942,0.1782472,0.1740401,0.17806524,0.19894464,0.24950902,0.32927653,0.41584805,0.4748648,0.48649994,0.4577893,0.41481462,0.3788656,0.35594466,0.34077772,0.32883906,0.31992576,0.3153217,0.31382465,0.31213188,0.30704296,0.29797438,0.28701866,0.2780661,0.27347672,0.27251205,0.27117327,0.26591668,0.25580978,0.24286908,0.22946775,0.21715386,0.20688151,0.19965194,0.19594006,0.19466542,0.19358408,0.19072318,0.1856256,0.17908031,0.17213689,0.1654082,0.15910353,0.15340343,0.14851733,0.14462458,0.14213027,0.14256503,0.14926676,0.16523258,0.18976104,0.21547766,0.2315771,0.22916193,0.2067092,0.16969399,0.1274863,0.08890954,0.059410274,0.04024994,0.029410547,0.023874046,0.021178238,0.020232461,0.020419488,0.021074874,0.021026013,0.01963553,0.017109558,0.014496102,0.012552075,0.011380121,0.010623536,0.010041187,0.009651429,0.009482,0.009743334,0.012033835,0.020475535,0.0410696,0.076438874,0.12156967,0.16338696,0.19020514,0.19910367,0.1987458,0.20138644,0.21725138,0.25039887,0.29892954,0.3546491,0.40650272,0.4486024,0.48160848,0.50932974,0.5271116,0.5279754,0.5083297,0.4779562,0.4487535,0.4282116,0.4143276,0.4024479,0.38844073,0.3688115,0.34137115,0.30708814,0.27309814,0.24839802,0.23904489,0.24383552,0.25698638,0.27140823,0.2818576,0.28553414,0.28242445,0.27474073,0.26543346,0.25625566,0.2471075,0.23715627,0.22676569,0.21768105,0.21130694,0.20643485,0.19986652,0.18930566,0.17669314,0.16810967,0.17069127,0.1880631,0.21749072,0.2507533,0.27810517,0.29426253,0.30083975,0.30525267,0.31364194,0.3266753,0.33783635,0.3396124,0.32713878,0.30085206,0.2637904,0.2216217,0.18294746,0.15841569,0.15557341,0.17270184,0.19921672,0.22239508,0.23599042,0.24186502,0.24550931,0.24998634,0.25426528,0.25524652,0.25087443,0.24118678,0.22823079,0.2148379,0.203588,0.19462307,0.1846544,0.16842608,0.1432508,0.112223834,0.08268227,0.06188251,0.054546535,0.06464822,0.094902374,0.14361389,0.20019533,0.25036862,0.284168,0.3025107,0.31180632,0.31941026,0.3313185,0.35675403,0.40097257,0.45767602,0.503674,0.5166798,0.49169233,0.44605255,0.40332058,0.37630734,0.36437413,0.359059,0.35441044,0.34790754,0.3411217,0.33577943,0.3323594,0.32956347,0.32509705,0.31843868,0.3102425,0.30293572,0.29726577,0.29342303,0.28969753,0.28570807,0.28085744,0.2760056,0.27125838,0.26727328,0.2641405,0.26174405,0.25967094,0.25671476,0.2526139,0.24668564,0.24015413,0.23356098,0.22975539,0.23083867,0.2392273,0.25168094,0.26185802,0.2629623,0.25768843,0.25603053,0.26833934,0.29303813,0.3182558,0.33021328,0.3239424,0.30325276,0.2752609,0.24470818,0.21347708,0.18370973,0.15985554,0.14906238,0.15650861,0.18202569,0.21717305,0.24973047,0.2677877,0.26440865,0.23870303,0.1969505,0.15264034,0.12189466,0.11815324,0.14411113,0.19169705,0.24354541,0.2843106,0.30633935,0.31353995,0.31338248,0.3116993,0.30866155,0.30248892,0.29182395,0.27873495,0.2663703,0.2579058,0.25334096,0.25263286,0.2555656,0.2644649,0.28184366,0.31311896,0.36228716,0.4266899,0.48898363,0.5254658,0.5217545,0.48597658,0.4404055,0.40434006,0.3819413,0.36599073,0.3479065,0.32490763,0.30034494,0.27962196,0.26617593,0.25981236,0.25822636,0.25902882,0.2605252,0.2611527,0.25958583,0.2553236,0.24941958,0.24342364,0.23854017,0.23475148,0.23174739,0.22927599,0.2275965,0.22684397,0.22689259,0.22728777,0.22753537,0.2273156,0.22639586,0.22474122,0.22237293,0.21965331,0.21692044,0.21444987,0.21191287,0.20965785,0.21020126,0.21993811,0.24533904,0.28656217,0.33273342,0.3677406,0.3823004,0.38070104,0.37616327,0.3774724,0.38354003,0.38458273,0.37390566,0.3519577,0.32875922,0.31354344,0.31084153,0.31671378,0.32601228,0.3345344,0.3401682,0.339335,0.32725385,0.3021191,0.26946232,0.24311145,0.23685832,0.25592873,0.29155907,0.32822788,0.35272476,0.36137757,0.35738194,0.34479305,0.3237057,0.29123735,0.24749838,0.19957308,0.16027965,0.14093818,0.14506225,0.16630924,0.19146807,0.21004842,0.2234581,0.24956559,0.30529955,0.38780722,0.46501485,0.50254035,0.48933133,0.44748187,0.40684938,0.38423535,0.37683165,0.37567118,0.37452686,0.37241185,0.3697796,0.36648598,0.36159906,0.3537856,0.3427403,0.32917833,0.31531084,0.30324462,0.294426,0.288879,0.28568783,0.28333694,0.2803582,0.27609813,0.27097726,0.2660183,0.2625798,0.2626467,0.26952636,0.2855254,0.3097631,0.3362359,0.35727596,0.36604667,0.36014935,0.34199798,0.31980932,0.3037282,0.30032256,0.3083153,0.3215333,0.33431065,0.34391284,0.34762597,0.3410889,0.32002762,0.28410834,0.23782416,0.18854082,0.14335266,0.106748015,0.08007474,0.062184226,0.051143084,0.045026165,0.042440224,0.04199047,0.042571634,0.043341715,0.04435703,0.045956373,0.048090536,0.050707888,0.056266177,0.072506584,0.1077437,0.161896,0.21819122,0.25253665,0.24941789,0.21667035,0.17749947,0.15660849,0.16354175,0.19338983,0.23040545,0.2608842,0.27760622,0.28351104,0.2845608,0.28627977,0.28928137,0.2929103,0.2979833,0.31243792,0.34735215,0.40658128,0.475641,0.5262511,0.5371973,0.50992864,0.46637157,0.42878005,0.40692338,0.39765632,0.3939058,0.39031854,0.3840464,0.3741722,0.36075708,0.34501445,0.32863188,0.31378594,0.30215713,0.29438898,0.28988656,0.2882931,0.29089758,0.3005602,0.3187881,0.3428278,0.3647693,0.3754463,0.3688157,0.34623036,0.3151671,0.28614357,0.2663847,0.25770375,0.25700125,0.26110604,0.26836213,0.27835438,0.28903767,0.2979443,0.30368865,0.30824432,0.3146068,0.3252258,0.33918154,0.35244092,0.35818303,0.35105872,0.33133554,0.306458,0.28687853,0.27899393,0.28207985,0.2899356,0.29674813,0.29997668,0.30053562,0.30023608,0.3003659,0.30154678,0.30374053,0.30621243,0.30750105,0.3063892,0.30279574,0.29760197,0.2917463,0.28513727,0.27690455,0.26624086,0.2537498,0.24143125,0.23173094,0.22539128,0.2205076,0.21262921,0.1971612,0.17233992,0.14142258,0.11139405,0.08963331,0.08127146,0.09028389,0.118126474,0.16154282,0.20988195,0.25363326,0.29321814,0.33872196,0.39450595,0.4461571,0.4692234,0.44998512,0.40032566,0.34610176,0.3077875,0.28845417,0.27940527,0.27189174,0.26226032,0.25263813,0.24501391,0.24121845,0.24001502,0.24077773,0.24159367,0.24174531,0.23957266,0.23496081,0.22837545,0.22167677,0.21639355,0.21299694,0.21115051,0.20939513,0.20719738,0.20372309,0.19978243,0.19521903,0.19065826,0.18541002,0.17995687,0.17547561,0.17633228,0.18828654,0.21404068,0.24775474,0.27465603,0.2811186,0.26458177,0.23757677,0.21876238,0.22020817,0.24107294,0.2689701,0.29174992,0.3026129,0.30437195,0.30280805,0.30411026,0.30963328,0.31648567,0.31933382,0.31546617,0.3073314,0.30091155,0.30136248,0.30969214,0.3225282,0.3346298,0.34212828,0.34450343,0.34343925,0.34020707,0.333519,0.31990278,0.29583207,0.26082996,0.21941686,0.18018962,0.15106988,0.13582474,0.13392425,0.14549828,0.17122692,0.21010624,0.25429165,0.2938346,0.3215671,0.3379247,0.3462372,0.34959006,0.3494406,0.35010257,0.36020228,0.3892847,0.43656597,0.48533788,0.50945646,0.4936018,0.44510475,0.38779858,0.3427488,0.3161941,0.30259326,0.29381683,0.28578177,0.27793124,0.27142897,0.2669957,0.26470244,0.26417685,0.26487398,0.26629594,0.26759836,0.26873294,0.2704717,0.27497387,0.2826279,0.29116955,0.29519355,0.29120624,0.27974093,0.26611337,0.25659165,0.25694454,0.27059063,0.29723248,0.33035973,0.35880494,0.37244406,0.36860004,0.3534224,0.3368616,0.32610413,0.32138142,0.31752518,0.30890107,0.2952533,0.28251353,0.27799532,0.28366134,0.29530254,0.30745745,0.31781605,0.3261236,0.33071008,0.32884535,0.31990388,0.30727607,0.29566118,0.28774714,0.28305674,0.2803732,0.27942574,0.2809888,0.28425503,0.28668258,0.2852498,0.27987266,0.27326706,0.26903385,0.2687961,0.27200046,0.27777028,0.28533718,0.2939632,0.30141145,0.30540785,0.30374923,0.2943665,0.2741188,0.24057592,0.19543855,0.14609073,0.10346345,0.077409446,0.07479372,0.09734591,0.14101344,0.19546108,0.2514443,0.3077849,0.3705306,0.4397625,0.50112563,0.5339722,0.53077847,0.5035434,0.4733107,0.45220616,0.4407079,0.43312278,0.4268711,0.42195675,0.42002535,0.4206963,0.42310742,0.42480075,0.4248849,0.42269084,0.41987726,0.4170467,0.4147527,0.4115541,0.40681756,0.40035507,0.39371002,0.38817695,0.38464168,0.3825089,0.38108942,0.37940684,0.37718406,0.3737763,0.36915517,0.36338246,0.35737178,0.3517404,0.34693944,0.3428645,0.33961368,0.33735523,0.33633134,0.33685145,0.3395512,0.3455703,0.35358676,0.35855898,0.35122856,0.32552552,0.28211513,0.23031212,0.18059683,0.14025246,0.11038322,0.08904135,0.07381583,0.063836284,0.05921331,0.060779016,0.0703436,0.09190876,0.12868433,0.17893694,0.23253377,0.2767979,0.3039341,0.3158747,0.31929302,0.3198175,0.3189051,0.3154277,0.30730975,0.29249075,0.2712708,0.24748212,0.22778739,0.21547718,0.2073124,0.19444042,0.17059268,0.13698538,0.10283065,0.07968399,0.077524625,0.10113577,0.14798005,0.20917816,0.2746081,0.34189478,0.409591,0.47215644,0.51067597,0.51409286,0.4848616,0.44500995,0.41160098,0.39228055,0.3824688,0.37839726,0.3783407,0.3823962,0.38917544,0.39592203,0.4000684,0.40023756,0.3967121,0.3905699,0.38298026,0.37458995,0.36593297,0.35768953,0.3506148,0.34468746,0.33935633,0.3338779,0.32803807,0.32125804,0.31357625,0.3062089,0.30267856,0.30503705,0.3112999,0.3141898,0.3070607,0.288095,0.26315206,0.24166586,0.23348413,0.24305828,0.26814583,0.2994839,0.32771263,0.3475462,0.3584349,0.3598996,0.3498578,0.3286873,0.30142725,0.27616474,0.25635597,0.2387981,0.2158518,0.18298888,0.14230354,0.10212117,0.071885325,0.05843256,0.06394214,0.08516958,0.11300602,0.13441807,0.13951685,0.12731092,0.10603037,0.08624681,0.07574408,0.07940468,0.09995085,0.13634895,0.17994036,0.21836394,0.2425373,0.253261,0.25733268,0.2611643,0.26579526,0.26921773,0.2692169,0.2663534,0.26249662,0.260602,0.2617806,0.26577738,0.27060184,0.2771325,0.29180068,0.32531404,0.38088015,0.44563952,0.49361786,0.5066195,0.48636404,0.4521748,0.42144728,0.40050045,0.38585773,0.373118,0.3614111,0.35175803,0.34615657,0.34400442,0.3438981,0.3419138,0.33600459,0.3252127,0.31199798,0.29900816,0.28864428,0.28144637,0.2766625,0.27347398,0.27085906,0.2689273,0.2668319,0.2645131,0.26054588,0.2551482,0.24796118,0.24059738,0.23389053,0.2291969,0.22628726,0.22436261,0.22236572,0.2195295,0.21625628,0.21268618,0.210675,0.21278103,0.22446851,0.2484755,0.28274038,0.3165072,0.33854207,0.3431101,0.33503544,0.32277653,0.31228647,0.3032869,0.29211667,0.27402177,0.24526937,0.20632605,0.16586778,0.14033441,0.14386962,0.17763616,0.22592355,0.26759014,0.28774944,0.28515637,0.2677258,0.24823111,0.23931174,0.24946435,0.27806032,0.31461063,0.34581336,0.36394623,0.37056753,0.3714725,0.37120894,0.37055814,0.36882997,0.3652103,0.35939276,0.35028818,0.33633986,0.3147048,0.2832856,0.24187665,0.19929676,0.17343928,0.18935658,0.2564937,0.35890523,0.45334828,0.5051739,0.5069935,0.48337936,0.46030906,0.44964686,0.44733486,0.44678485,0.44520482,0.4424968,0.4393868,0.43610647,0.43333063,0.43152574,0.4310503,0.43155622,0.43204415,0.4312766,0.4288417,0.4252642,0.42155862,0.41797185,0.4145135,0.4109368,0.4075276,0.40426436,0.40102723,0.39706376,0.3912426,0.38244057,0.37072468,0.3580402,0.34757125,0.34246743,0.3462526,0.36260745,0.39426565,0.43500352,0.46963856,0.47972193,0.4620506,0.4307411,0.40634605,0.39639902,0.39256692,0.38450646,0.37000003,0.35624686,0.3481849,0.34644714,0.34747526,0.34939718,0.3510522,0.35122228,0.3469404,0.3353311,0.31517866,0.28806424,0.25696537,0.22440535,0.19118823,0.15726593,0.12364746,0.0930219,0.068863586,0.05325504,0.046467066,0.04687311,0.052090064,0.06005336,0.07141414,0.090017706,0.11847699,0.15199757,0.17676575,0.17958461,0.15794842,0.12335519,0.09162205,0.07429934,0.075557835,0.09570289,0.13266554,0.18336457,0.24550347,0.31988397,0.40203333,0.47759643,0.52209896,0.52332807,0.48820114,0.44228032,0.4057648,0.3873053,0.38262174,0.3860674,0.3930423,0.40099457,0.407046,0.40845934,0.40406683,0.3953601,0.3856665,0.37764716,0.37253892,0.37035236,0.3712819,0.3749468,0.38023445,0.3854132,0.38947785,0.39236006,0.39441538,0.39586142,0.39688095,0.39754188,0.39763322,0.39685777,0.39562228,0.39516795,0.39651513,0.40029058,0.40807557,0.42445648,0.45309678,0.4902351,0.5206608,0.52764535,0.5060157,0.4676042,0.42915654,0.39885983,0.37238848,0.3410016,0.2990659,0.24675427,0.18923569,0.13488074,0.09183457,0.064126685,0.05106875,0.050189596,0.060487192,0.08235473,0.11604905,0.15828888,0.20287573,0.24092107,0.26743868,0.28171942,0.2885393,0.2914805,0.29270288,0.29187813,0.2892492,0.28481522,0.27830502,0.2696167,0.26020628,0.25318146,0.25070882,0.25224197,0.25531557,0.25857076,0.26301014,0.270103,0.2795997,0.289546,0.29848108,0.30643153,0.31606814,0.33235845,0.3635538,0.4127084,0.4729586,0.5234043,0.5463285,0.53714246,0.51047546,0.48377323,0.4677999,0.46220398,0.46283165,0.46598974,0.46947572,0.47162735,0.470976,0.467145,0.46092558,0.453999,0.44794938,0.44365573,0.4412326,0.44040737,0.44100776,0.44270334,0.4449443,0.44647208,0.44602934,0.4426494,0.43679193,0.42986456,0.42399862,0.4209679,0.42166248,0.42561266,0.43085957,0.43540147,0.4376868,0.43922624,0.44422317,0.45997998,0.4874148,0.5172234,0.5303159,0.5162781,0.48146448,0.44430277,0.41661134,0.39602125,0.3747051,0.3483216,0.31930885,0.28901705,0.25761726,0.22542648,0.19770972,0.1821217,0.18369174,0.20067222,0.2255662,0.25003177,0.2682154,0.27773547,0.27845025,0.2720696,0.26117018,0.24779141,0.23155229,0.2097637,0.17977552,0.1424716,0.10328109,0.07011498,0.048764255,0.041323856,0.04667732,0.06417781,0.09225234,0.12739849,0.16097866,0.18450733,0.19350277,0.19225045,0.18911834,0.19168735,0.2011081,0.21397944,0.22833501,0.24961777,0.28880724,0.34911653,0.41751754,0.4681475,0.4841427,0.4682808,0.4396263,0.41391683,0.39550272,0.38016582,0.36430618,0.3489871,0.33687255,0.33067498,0.3296422,0.332723,0.3365949,0.3399427,0.34061804,0.33927616,0.33629358,0.3338349,0.33315536,0.3352088,0.339878,0.34586748,0.3518568,0.3560023,0.35817686,0.3582985,0.35767707,0.35636827,0.35495207,0.3528262,0.35044786,0.34776893,0.34656215,0.3508625,0.3685054,0.40604272,0.45915875,0.5089428,0.5307794,0.5155174,0.47542775,0.43505278,0.407817,0.39237297,0.37801114,0.35992482,0.33902073,0.32005873,0.30464277,0.29168427,0.27783868,0.2606948,0.24004777,0.2186458,0.2019249,0.1966772,0.20772196,0.23363179,0.26555946,0.2923448,0.30746144,0.31209257,0.31091592,0.30631247,0.29566965,0.2736061,0.23742805,0.19180377,0.1500425,0.12805139,0.13429724,0.16366775,0.20051648,0.23071949,0.24874718,0.25765327,0.2613195,0.26199993,0.2622265,0.2661077,0.27684268,0.29354894,0.31558904,0.34747064,0.39535773,0.4570404,0.5151654,0.5495805,0.55096537,0.5286256,0.49857327,0.473163,0.45598653,0.44628906,0.4423839,0.44246635,0.44472027,0.4474273,0.44965172,0.45094743,0.45109165,0.45020366,0.44856414,0.44681898,0.44541845,0.44488868,0.44564417,0.44808134,0.45209467,0.45668533,0.46022514,0.46127328,0.45992732,0.45782757,0.45735157,0.45936546,0.4629505,0.46592045,0.46748236,0.46806,0.47038695,0.4779881,0.49608326,0.52416843,0.55340177,0.5662661,0.55249566,0.51641625,0.4747089,0.439685,0.41161814,0.38276526,0.3459828,0.2997924,0.24771297,0.19822268,0.16108906,0.14191961,0.13746734,0.13858354,0.13847323,0.13962479,0.15095091,0.17919834,0.2199475,0.26079348,0.2893658,0.30258584,0.30428144,0.29979846,0.2897779,0.2711285,0.24001081,0.19649322,0.14639318,0.10070774,0.07160752,0.06792393,0.09141604,0.1347393,0.18239458,0.21527614,0.21954457,0.19352691,0.14945985,0.106845774,0.08380982,0.08849665,0.11728398,0.15893956,0.20596385,0.2606059,0.3290782,0.40687844,0.4741384,0.5093355,0.5079642,0.4852828,0.4621344,0.4493253,0.44608644,0.4466252,0.44737467,0.44743955,0.44734228,0.44722018,0.44713032,0.44759825,0.44941112,0.4527829,0.45622322,0.45767298,0.455526,0.44986287,0.4419614,0.4337127,0.4269167,0.42240024,0.41996536,0.41892195,0.41927612,0.42189658,0.42715502,0.4338218,0.4389435,0.4397727,0.4353815,0.42792547,0.42381153,0.4321065,0.4598461,0.5013415,0.53825265,0.5486205,0.5278874,0.48995355,0.4565935,0.43589297,0.42236876,0.40570518,0.3843813,0.36425188,0.35254183,0.35060343,0.35350788,0.3520721,0.33649158,0.30146536,0.25086617,0.19972074,0.16574019,0.15846866,0.17070109,0.18462946,0.18361385,0.163391,0.13159771,0.10008495,0.07731583,0.06700614,0.071842216,0.09347253,0.13001217,0.1723358,0.20930457,0.23291296,0.24217409,0.2380244,0.22107713,0.19180624,0.15479763,0.11800886,0.08989496,0.07609781,0.080049336,0.10166609,0.13799958,0.1841684,0.2402799,0.30774292,0.38141707,0.44135538,0.46586505,0.44982418,0.4109393,0.37426606,0.35293302,0.3449801,0.34161007,0.33770227,0.33256242,0.32839504,0.3259418,0.3248919,0.32268277,0.31829765,0.31088576,0.30245805,0.2938167,0.28676602,0.2808714,0.27651283,0.27269387,0.26886117,0.26350355,0.25553605,0.2450457,0.23384555,0.22587489,0.22475958,0.23250161,0.2460603,0.2595148,0.26633227,0.2652503,0.2593238,0.25431558,0.25301477,0.2556188,0.25952533,0.262172,0.25996235,0.24938343,0.22865278,0.20111732,0.17604189,0.16294684,0.16571577,0.17836188,0.19148092,0.19784133,0.19739963,0.19304664,0.18768881,0.18158199,0.17428486,0.16573495,0.15691166,0.1485819,0.13997626,0.12835395,0.11070764,0.086553596,0.05930862,0.034611303,0.016822755,0.0068065617,0.0024943876,0.0010913456,0.0007021083,0.0005549027,0.00047178718,0.00042440474,0.00039849043,0.0006003884,0.002033206,0.007068708,0.018890249,0.039047778,0.06507393,0.09059181,0.109436244,0.11944068,0.12341386,0.12867387,0.14579336,0.1883725,0.26066348,0.35175416,0.43182704,0.47747707,0.48281145,0.46638653,0.44744733,0.43716827,0.4335347,0.43289056,0.4330472,0.43451682,0.4372872,0.44023788,0.44163474,0.44053623,0.43752363,0.43416086,0.43172216,0.43021703,0.4288131,0.42671683,0.42365503,0.4195242,0.41418347,0.40805304,0.40238047,0.39894608,0.39869782,0.40123546,0.40486586,0.40768275,0.4085947,0.40780318,0.40645924,0.40586993,0.40880993,0.42045006,0.4467801,0.48562098,0.52252096,0.5363741,0.51756436,0.47420076,0.4242821,0.3786012,0.33826873,0.30030125,0.26356652,0.22633475,0.1861128,0.14311972,0.10273304,0.07172935,0.0526453,0.043129444,0.03947011,0.04165982,0.054955166,0.088502444,0.14690685,0.22430623,0.30251372,0.36389422,0.400286,0.41768798,0.42538252,0.4299951,0.4316896,0.42933133,0.42239687,0.41267347,0.4028513,0.39539194,0.39129683,0.3900417,0.3906816,0.39253727,0.39498052,0.39680603,0.39680186,0.39516738,0.39380118,0.39471257,0.39787886,0.4028952,0.41173637,0.4310702,0.46451297,0.5070897,0.5428912,0.55901,0.55375,0.5382218,0.5238969,0.5157726,0.51211643,0.50995517,0.50756514,0.5038473,0.4969872,0.48516393,0.4685812,0.45147383,0.44076562,0.4419901,0.45485464,0.47301102,0.48802924,0.49443766,0.49223152,0.48557222,0.47982335,0.4778757,0.47920957,0.48087788,0.48119316,0.48083398,0.48189402,0.48462093,0.48722836,0.48742843,0.4848093,0.4806831,0.47867164,0.48485982,0.5069462,0.5460939,0.590956,0.6201661,0.6186077,0.5893939,0.5497561,0.5153462,0.48844495,0.4631499,0.43417856,0.40426782,0.37996432,0.36642244,0.3607326,0.35238388,0.3281206,0.2821543,0.22090538,0.1609662,0.11873443,0.1040662,0.11839951,0.15708977,0.20967813,0.2612199,0.29896715,0.31884626,0.32700667,0.33165562,0.33654812,0.3384889,0.33123347,0.30901638,0.27074096,0.22117181,0.17020881,0.12671232,0.095196456,0.07429746,0.061385687,0.05405884,0.05133765,0.051798064,0.05368099,0.05520226,0.055837136,0.06046939,0.081751645,0.13863534,0.2381444,0.3627049,0.46952724,0.52272415,0.51573336,0.47503185,0.43174458,0.40287676,0.38766262,0.38021806,0.37630114,0.3749222,0.37579927,0.37930372,0.38517725,0.39228263,0.39795434,0.4002374,0.39883175,0.39550325,0.3918352,0.3886316,0.3857515,0.38309756,0.38060406,0.37793908,0.37462792,0.37020364,0.364972,0.35983697,0.35624388,0.35505652,0.3562013,0.35852388,0.3607019,0.36272547,0.36818612,0.38501355,0.4205431,0.47101974,0.5176913,0.53739303,0.5242202,0.494632,0.47226754,0.46275318,0.45109606,0.4168482,0.35397896,0.27314034,0.19301836,0.12834214,0.08501524,0.06075941,0.049683154,0.046398137,0.04898559,0.059767973,0.084688924,0.12742482,0.18447791,0.2427664,0.2888683,0.31619933,0.32872286,0.3331137,0.33425486,0.333313,0.33112752,0.32759765,0.32077643,0.3056212,0.2776363,0.2359065,0.18582703,0.13652006,0.09706903,0.071775705,0.05925404,0.054671783,0.05412325,0.057952624,0.070286185,0.09504211,0.1334707,0.18524688,0.25383735,0.33958006,0.43237206,0.50447017,0.53180605,0.50984865,0.46213332,0.41624784,0.38884532,0.37740925,0.37404227,0.37071106,0.365926,0.3597544,0.35539487,0.3546408,0.3597579,0.3702214,0.383873,0.39595437,0.40256095,0.4025668,0.398278,0.39312944,0.38924447,0.387565,0.38789096,0.39027843,0.39353096,0.39674136,0.3986782,0.39978096,0.40086722,0.40278712,0.4054316,0.40737996,0.40786132,0.40840915,0.41642463,0.44186917,0.48824072,0.54171324,0.5755492,0.5701156,0.53204674,0.4872594,0.45751667,0.4408239,0.42122197,0.38566837,0.3372954,0.28748456,0.24778086,0.2220809,0.20851745,0.2017077,0.19701864,0.19274646,0.18913339,0.1861909,0.18124972,0.17230637,0.16012432,0.14939772,0.14326473,0.14133503,0.13995424,0.13707805,0.13288438,0.12864445,0.12442013,0.120225705,0.11761505,0.120289125,0.13192035,0.15361793,0.18158714,0.2081734,0.22507595,0.22908534,0.2229358,0.21313952,0.2045852,0.20122027,0.20727426,0.22827296,0.2676657,0.3253306,0.39802876,0.4765296,0.54381317,0.5780764,0.5689333,0.5260937,0.47471938,0.43574843,0.4159708,0.4102563,0.4118062,0.41594765,0.4198819,0.4208834,0.4177275,0.4108145,0.40226784,0.39397016,0.3877003,0.3844867,0.3851341,0.3892876,0.39578927,0.40275136,0.4085448,0.41228244,0.41436538,0.41620257,0.41926134,0.42365432,0.4281458,0.4310131,0.43164304,0.43015108,0.42692587,0.42190787,0.41616312,0.4129252,0.41714883,0.43106627,0.44952127,0.46189973,0.46024212,0.4487956,0.438821,0.4384369,0.44193396,0.43804026,0.41931376,0.38932517,0.35495996,0.32029834,0.28545773,0.25367448,0.23419853,0.23650678,0.25970128,0.2887968,0.3030747,0.29033777,0.25612554,0.2222479,0.21203774,0.23538204,0.2789902,0.31819275,0.3308107,0.31278405,0.2752497,0.24117267,0.23031594,0.25060174,0.28883356,0.3212725,0.32705477,0.303749,0.26627192,0.23735422,0.23266983,0.25122663,0.27835774,0.29660717,0.29874048,0.29083875,0.28571594,0.2934496,0.31371793,0.33975598,0.36265147,0.37882245,0.38696983,0.38870522,0.38533056,0.38011026,0.37512663,0.3715706,0.36883232,0.3668672,0.36600205,0.3666362,0.36800936,0.36870155,0.36732277,0.3638555,0.35945645,0.35603473,0.3547273,0.35574496,0.35832772,0.36172485,0.36523807,0.3685272,0.37139913,0.37388563,0.37580386,0.3765233,0.37548205,0.37291285,0.37020886,0.3688259,0.3694693,0.3721467,0.3774952,0.38813245,0.40698674,0.43414518,0.46254933,0.4815807,0.48270214,0.46619418,0.43702295,0.40034786,0.3583634,0.3141675,0.27262554,0.23773445,0.20919742,0.18306072,0.15551788,0.12558688,0.09534947,0.06865781,0.049264897,0.039791003,0.04001546,0.047283504,0.056610893,0.06381556,0.06640642,0.06487161,0.060474467,0.054593965,0.047580395,0.039701845,0.031370092,0.023652112,0.018178621,0.017240733,0.023571452,0.038697224,0.06118724,0.08567553,0.10577011,0.11725145,0.120305546,0.11769915,0.11271203,0.10763978,0.1041561,0.103222884,0.106552005,0.11915535,0.15169637,0.21370585,0.30032575,0.3852981,0.43436536,0.43123385,0.38892063,0.33726537,0.29819834,0.2764792,0.2652676,0.25817275,0.25242558,0.24843596,0.24629717,0.24608709,0.24678762,0.24789113,0.24879909,0.24972741,0.25081792,0.25216746,0.25353682,0.25431135,0.25417578,0.25304592,0.2520375,0.25216353,0.25476313,0.25950432,0.26578924,0.2715468,0.2756259,0.276935,0.2761502,0.2742135,0.27247036,0.2715918,0.27167463,0.27299738,0.27603027,0.28219655,0.29181996,0.3040077,0.31482685,0.31954837,0.31383672,0.29745856,0.27424607,0.25094786,0.23273878,0.22078782,0.21148802,0.19911878,0.17852147,0.14838946,0.11197037,0.07635142,0.04884389,0.035021152,0.038084943,0.059889067,0.099157475,0.14970559,0.20044042,0.24116246,0.2670634,0.280315,0.2852904,0.28574482,0.28324434,0.27904654,0.27390242,0.26831564,0.26202476,0.25499976,0.24714865,0.23789884,0.22535013,0.20730336,0.18318377,0.15567409,0.13071044,0.11546963,0.11637026,0.13553853,0.17199822,0.22300462,0.29076222,0.37463447,0.4654263,0.5372191,0.56726146,0.55027246,0.50679296,0.4622999,0.43240035,0.41663173,0.40842506,0.40167305,0.39412034,0.38561678,0.37792912,0.3722545,0.369215,0.36741546,0.36547902,0.36230147,0.35821727,0.3543605,0.35176697,0.35079014,0.35045052,0.34980333,0.34840885,0.34727833,0.3477465,0.35077736,0.35628012,0.363392,0.37093213,0.37782976,0.38333043,0.3872449,0.3897393,0.39166752,0.39354977,0.39540687,0.39552104,0.39257774,0.38692474,0.3820597,0.3811631,0.3836353,0.38417447,0.37646294,0.35867178,0.3336297,0.3067356,0.2810563,0.25825146,0.2391846,0.22546673,0.21663469,0.20924169,0.19863732,0.18297093,0.16430868,0.1456651,0.12902108,0.116615236,0.11448869,0.1300955,0.1664241,0.21590835,0.26464298,0.3006074,0.3209509,0.32985708,0.33278644,0.3331456,0.33221567,0.33120278,0.3296164,0.32576898,0.316028,0.29828513,0.27313596,0.2463966,0.22554143,0.21589111,0.21585451,0.22120385,0.23013748,0.24914038,0.28844357,0.35446194,0.43792114,0.5141971,0.55540204,0.5518349,0.51763135,0.47883025,0.4526378,0.44136134,0.4383471,0.4377347,0.43652546,0.43363908,0.42792597,0.41927472,0.40918818,0.40161422,0.40036598,0.40636563,0.41600987,0.42359054,0.4250988,0.42019978,0.41141817,0.40142,0.3914324,0.38062945,0.36778688,0.35254732,0.33651316,0.32216123,0.31177413,0.3066449,0.30707055,0.31243864,0.3210633,0.3308032,0.33983597,0.34755787,0.3542323,0.36032602,0.36610866,0.37169325,0.3773409,0.3811716,0.37941432,0.3666745,0.34150735,0.30584934,0.26381162,0.21741973,0.16844559,0.12100745,0.08118019,0.053660244,0.038207088,0.031560153,0.029977053,0.031501975,0.034590255,0.037341088,0.037389845,0.033930052,0.028058575,0.02222488,0.018001871,0.015644506,0.014353228,0.013467833,0.012707767,0.012311824,0.012981031,0.016753534,0.02682139,0.047074854,0.078162245,0.11582974,0.1501529,0.17205288,0.17813574,0.17462027,0.1732506,0.18558395,0.2160237,0.25949153,0.30614862,0.3493377,0.39260927,0.44116488,0.49406847,0.5360718,0.55369836,0.54290205,0.5165057,0.4881966,0.46689227,0.45191634,0.44063666,0.43033043,0.41961792,0.4076034,0.39461294,0.3827939,0.3750789,0.37345386,0.37730467,0.38387716,0.39004907,0.39446822,0.39782694,0.40115765,0.4042596,0.4054916,0.40409482,0.4006511,0.397112,0.39436257,0.39233768,0.39031935,0.3882399,0.38693497,0.3869888,0.3887246,0.39139047,0.39462563,0.3977122,0.4003035,0.4016639,0.40203652,0.40284932,0.40667495,0.41465554,0.42380896,0.4270183,0.41583225,0.38603055,0.33893004,0.2826766,0.22870158,0.19064356,0.1774038,0.18980218,0.21813567,0.24972184,0.27558812,0.2945539,0.30887628,0.32005247,0.32730195,0.3295914,0.32667905,0.31798336,0.30187812,0.27673548,0.24382792,0.20792031,0.17516692,0.1490298,0.12896575,0.11226887,0.0975053,0.08502475,0.07627177,0.0727671,0.07817473,0.096194185,0.12768601,0.16576546,0.20059778,0.22519338,0.24079639,0.25226435,0.2637705,0.27801776,0.30059433,0.33864358,0.39153525,0.44349372,0.47052434,0.45973384,0.4197739,0.37387776,0.34046188,0.32495785,0.32170728,0.3242886,0.32792068,0.3309306,0.33231366,0.33201516,0.33044925,0.32767725,0.32439345,0.32035932,0.31632522,0.311725,0.3072417,0.3028706,0.3004909,0.30073535,0.30461517,0.31056824,0.3174806,0.32320312,0.32702938,0.3284787,0.32813445,0.327592,0.32788858,0.33005932,0.33302775,0.33703616,0.34152308,0.34654164,0.34920013,0.34723437,0.34067455,0.33515903,0.33770046,0.35098076,0.3690112,0.37963775,0.37300095,0.34668806,0.30702287,0.26285604,0.22252189,0.1902647,0.16768074,0.15431564,0.15140237,0.16074906,0.1828807,0.21184526,0.23758936,0.24871017,0.23892169,0.20863904,0.16694319,0.1287459,0.10920092,0.11692809,0.15021099,0.19891071,0.24861705,0.28734884,0.30919048,0.31569183,0.3116701,0.30252013,0.29169974,0.28154683,0.2721442,0.26352414,0.25652656,0.25438842,0.2585154,0.26695988,0.2747209,0.27892426,0.28223455,0.2924384,0.31979093,0.36629835,0.42298746,0.4685062,0.48880956,0.48289862,0.46621585,0.45141053,0.44304287,0.43561113,0.42416036,0.40796566,0.39105883,0.37818304,0.37179843,0.3711606,0.3738474,0.37761208,0.3814278,0.38499615,0.38811898,0.390103,0.38998902,0.38720322,0.38218275,0.37643373,0.37161374,0.3689952,0.36884513,0.37087914,0.374101,0.3773782,0.37961635,0.38039836,0.38023075,0.38005432,0.38095602,0.38332292,0.38728094,0.3921754,0.39700317,0.40057063,0.4029417,0.40608916,0.41245368,0.42193148,0.43010485,0.4306755,0.42049372,0.40210843,0.38222063,0.3654915,0.3519772,0.33667555,0.3168454,0.29430982,0.27700332,0.27014294,0.2739935,0.2824309,0.29047194,0.2955738,0.2976408,0.29494718,0.2839578,0.26243624,0.2334164,0.2070896,0.19526727,0.2043962,0.229899,0.26027203,0.2844783,0.29854652,0.30460513,0.30569306,0.30092454,0.28567967,0.25671807,0.21763016,0.17934316,0.1548235,0.15236454,0.171046,0.20119621,0.22830604,0.2442423,0.25555918,0.28261122,0.33936965,0.41739026,0.48690495,0.5232938,0.5243935,0.50909144,0.49564192,0.49058223,0.48952878,0.48741755,0.48244825,0.47561976,0.4675041,0.4576144,0.4446542,0.42830777,0.4094676,0.3905259,0.37401542,0.36172962,0.35390273,0.34968856,0.3480045,0.34807503,0.34917507,0.35099444,0.3539847,0.35988173,0.36972964,0.3827035,0.39562342,0.40579644,0.41204214,0.4150903,0.41535756,0.41329846,0.40897593,0.40340498,0.39772633,0.39408207,0.3945901,0.4007275,0.41152957,0.42286515,0.42893735,0.42393315,0.40504584,0.3714658,0.3244669,0.26668823,0.20404166,0.14535724,0.09852395,0.06713158,0.04904325,0.040302847,0.037262123,0.038240343,0.04154199,0.045235664,0.046757042,0.04505506,0.040589172,0.036184352,0.03592282,0.045578122,0.0685535,0.1021412,0.13491362,0.1539268,0.15351284,0.14075263,0.12989235,0.13315979,0.15359925,0.18485595,0.21657316,0.24063648,0.2549826,0.26145682,0.26231226,0.25716266,0.24454933,0.22404575,0.20122188,0.18852662,0.2045577,0.25901714,0.34353375,0.42761287,0.48248163,0.4971651,0.4857707,0.46837354,0.45772675,0.45435667,0.45342574,0.45047662,0.4436679,0.4337336,0.42274323,0.4121751,0.40285614,0.39498845,0.38974,0.38769054,0.38908827,0.39291894,0.3992386,0.40824175,0.42024362,0.43285787,0.44240937,0.44508007,0.44015467,0.42956194,0.41717505,0.4067246,0.4008452,0.40003812,0.4026365,0.40617332,0.40885338,0.4102489,0.41038728,0.40955648,0.40840593,0.4085982,0.41217175,0.42051446,0.43198588,0.44067374,0.4381853,0.41928816,0.38701797,0.3509109,0.32093266,0.3013188,0.29133543,0.28800115,0.28912008,0.29308456,0.29858193,0.30400217,0.30743048,0.30678177,0.30055365,0.2889042,0.27413905,0.25997102,0.24963816,0.24445097,0.24348895,0.24463491,0.24576056,0.24588247,0.2454704,0.24580537,0.24723081,0.24772523,0.24288626,0.22787994,0.20073944,0.1649471,0.12864463,0.10041404,0.08514593,0.08446178,0.09860662,0.12662727,0.16296957,0.19923621,0.23094417,0.26509777,0.3147166,0.38514543,0.46186128,0.519012,0.5375233,0.5214451,0.4900769,0.4636399,0.44882965,0.44313037,0.44012773,0.43674695,0.4318311,0.42574286,0.4192516,0.41303828,0.40855762,0.405468,0.403929,0.40184918,0.39940977,0.39571556,0.39234427,0.38935053,0.38778996,0.38733292,0.38763237,0.38789752,0.3870364,0.38500845,0.38170624,0.37848663,0.37566757,0.37441579,0.37506548,0.37911978,0.38650212,0.39549395,0.40203607,0.4024556,0.3964615,0.3868359,0.3792783,0.37731966,0.38192007,0.38759115,0.38713208,0.37425554,0.35017622,0.32195568,0.29943386,0.28881225,0.29039738,0.29914308,0.30857357,0.31448767,0.31686258,0.3186585,0.32357863,0.33336607,0.34773353,0.36472175,0.38298073,0.4008467,0.41567692,0.42141,0.41107035,0.37968445,0.33007315,0.2720342,0.21949017,0.18175544,0.16157256,0.1555674,0.1612231,0.17722638,0.20252562,0.23178916,0.2582302,0.27677396,0.28777215,0.2941893,0.29878125,0.30184457,0.3016809,0.29514033,0.27869093,0.25178415,0.21943681,0.1912869,0.1747609,0.1698729,0.17001742,0.16835403,0.16240174,0.15343988,0.14348845,0.13350105,0.12382982,0.11478585,0.106773354,0.10003638,0.09473107,0.090827644,0.08810625,0.08600656,0.083934315,0.08194944,0.082109176,0.08887476,0.1067366,0.1349837,0.16520177,0.18485029,0.18630104,0.1719898,0.15331276,0.1442511,0.15473622,0.18597996,0.22841512,0.26660204,0.28779975,0.28958127,0.2798618,0.26968396,0.26683614,0.27156937,0.27930042,0.2829943,0.2784691,0.2656252,0.24940383,0.23590134,0.23044993,0.23445757,0.24627952,0.26081634,0.2734697,0.2819539,0.2879791,0.293474,0.298146,0.2990924,0.29376528,0.2819688,0.26550195,0.24720521,0.22972868,0.21530114,0.20477802,0.19796973,0.19446205,0.19470479,0.20057207,0.21360417,0.23406078,0.2580199,0.2786934,0.2871947,0.2778742,0.25004753,0.20928495,0.16366969,0.12106368,0.08627161,0.06137699,0.046436667,0.042102817,0.050616127,0.07566469,0.11766549,0.1707421,0.22287028,0.26327226,0.28805646,0.30085257,0.30717322,0.3096831,0.3084787,0.30304065,0.29443148,0.28382447,0.27255765,0.2612065,0.25084686,0.24256293,0.23718798,0.23404022,0.2310261,0.22649916,0.22076206,0.21578813,0.21223152,0.20831104,0.2015462,0.19216602,0.18348873,0.17849982,0.17628415,0.17239796,0.1631453,0.14924984,0.13499206,0.124289,0.11769714,0.11333704,0.10954702,0.10610736,0.10328928,0.10035687,0.09594175,0.089213066,0.08090353,0.07265413,0.06593684,0.061275095,0.058394615,0.056708153,0.05566593,0.054835867,0.053860515,0.052514877,0.05078685,0.048928875,0.047256246,0.04617709,0.046310306,0.04875283,0.054432523,0.06310133,0.073028356,0.08285401,0.09443415,0.11301605,0.14329743,0.18426341,0.2287544,0.26845267,0.29897138,0.32030067,0.33322933,0.33734715,0.33147237,0.3159368,0.29326797,0.26865968,0.2481051,0.23582797,0.2305393,0.22563247,0.21299662,0.18904847,0.15719704,0.12648597,0.107394256,0.10965994,0.1378063,0.18885219,0.24900357,0.30142626,0.33317736,0.34240937,0.33347717,0.3124793,0.2832697,0.24857761,0.21123159,0.1746649,0.14381307,0.12405578,0.120621026,0.13460918,0.16184115,0.19153668,0.21231534,0.21694387,0.20730932,0.19073276,0.17522223,0.16419439,0.15661222,0.1495666,0.14138617,0.13266727,0.12483051,0.11852827,0.1129371,0.10684207,0.10009762,0.09518602,0.09714972,0.111071326,0.13677128,0.16560797,0.18304151,0.17821698,0.1514981,0.11526408,0.085529365,0.07461821,0.08670924,0.11882534,0.16154042,0.20237406,0.23073803,0.24322002,0.24392913,0.2396326,0.23437531,0.22762334,0.21632034,0.19770789,0.171062,0.13842687,0.10419015,0.07380863,0.051317636,0.037849143,0.032350913,0.034131378,0.04446627,0.06378985,0.08847018,0.10978264,0.120263554,0.118384,0.109558664,0.1002359,0.094844736,0.09624947,0.107388295,0.12965526,0.15940763,0.18946697,0.21359855,0.23078442,0.24309099,0.25216356,0.25702098,0.25614288,0.2490976,0.23854543,0.22856684,0.22385879,0.22549786,0.23169945,0.23782504,0.24011934,0.23563893,0.22433938,0.2099209,0.19982189,0.20044184,0.21201807,0.22808743,0.24077974,0.24642073,0.24660736,0.24472271,0.2422629,0.23770876,0.22893673,0.21586168,0.2017289,0.19042687,0.1834929,0.17825001,0.17014879,0.15589516,0.13596372,0.11386622,0.093997516,0.079075925,0.06941205,0.0635205,0.059654627,0.056609347,0.05394465,0.05163737,0.04997499,0.0494237,0.050548796,0.053625688,0.05841152,0.06395204,0.06887885,0.07164815,0.07142421,0.0691439,0.06864396,0.075297534,0.09319701,0.12197874,0.15843801,0.19805075,0.23743735,0.27182838,0.29772055,0.31371227,0.3233324,0.33005098,0.33401927,0.32992914,0.31080922,0.27431753,0.22823668,0.19104539,0.18131335,0.20510252,0.24917388,0.291405,0.31449926,0.31505504,0.29930547,0.2778863,0.26197943,0.26233062,0.2843882,0.3241434,0.36864623,0.40423623,0.42423943,0.43090346,0.43046877,0.42782605,0.4246949,0.4205704,0.41460326,0.40585986,0.39280403,0.37221554,0.34034455,0.29679307,0.24773073,0.20710139,0.1922478,0.21983671,0.29302347,0.39524254,0.48891446,0.54098195,0.5417677,0.51270443,0.4822154,0.46789518,0.46885562,0.47712114,0.48501024,0.4891199,0.48889732,0.4863129,0.48417154,0.484771,0.48808798,0.49249983,0.49555543,0.49639282,0.4958025,0.4961569,0.49902487,0.5041398,0.5093871,0.5124788,0.51263785,0.51057297,0.5078602,0.50550205,0.503727,0.5019829,0.49952605,0.49617562,0.49240032,0.49014488,0.4932705,0.5083825,0.54115826,0.5883629,0.632772,0.6501973,0.6275473,0.57285166,0.507989,0.45135966,0.41020766,0.3848697,0.37474433,0.37846684,0.39165032,0.40797868,0.42151466,0.4287143,0.42820582,0.4211203,0.40972114,0.39604545,0.37962604,0.35786417,0.3275492,0.2881149,0.2428178,0.19789194,0.15899791,0.12892842,0.107542604,0.094224624,0.08872502,0.09055313,0.097702526,0.10803923,0.121294595,0.13832201,0.1580369,0.17440031,0.17990099,0.17043489,0.14956345,0.12528259,0.1053618,0.093747206,0.09182858,0.10035941,0.12110976,0.15701295,0.21326764,0.2916177,0.38348672,0.4640467,0.5066455,0.5001376,0.46024728,0.41404113,0.38183364,0.3667123,0.36265576,0.36346602,0.36699697,0.37276554,0.38008776,0.3877059,0.39484534,0.40093854,0.4059097,0.40982673,0.41353,0.41793776,0.42305097,0.42779493,0.43049744,0.43058944,0.42870882,0.42682984,0.42680755,0.4295918,0.4343232,0.4395213,0.44398475,0.44783747,0.45153424,0.4554231,0.45913008,0.4636102,0.47230878,0.49192157,0.52444595,0.5619597,0.58530027,0.5797164,0.5446691,0.49402687,0.44092703,0.38972294,0.33882833,0.287416,0.23718065,0.18912292,0.14390095,0.10379037,0.07276713,0.0542274,0.04886818,0.05630341,0.07581396,0.10664362,0.1456808,0.18710715,0.22322737,0.24819745,0.26107264,0.26623857,0.26988652,0.27533448,0.28177455,0.2861848,0.28619674,0.28086194,0.27107275,0.26122305,0.25803673,0.2664163,0.28263292,0.29680967,0.3003514,0.29429343,0.28648254,0.28411964,0.28848958,0.29674038,0.30613494,0.31578335,0.32792565,0.3489972,0.3897216,0.45592323,0.5390046,0.61343735,0.6541037,0.65383434,0.62827986,0.5999871,0.5819775,0.5741372,0.57109255,0.57004756,0.5713288,0.5755656,0.58203465,0.5890577,0.5952847,0.5998581,0.6027503,0.60454935,0.60612565,0.6077691,0.6087169,0.6082229,0.6061751,0.6036479,0.60130936,0.59961253,0.59840685,0.598176,0.599232,0.602015,0.6064775,0.61230344,0.6182488,0.6224018,0.6236601,0.62368006,0.6276836,0.64095515,0.66352224,0.6856728,0.6932216,0.67605275,0.63607913,0.5818929,0.52339196,0.46696627,0.4189864,0.38301706,0.3568479,0.33061242,0.29499528,0.24954534,0.20529628,0.1759934,0.16848917,0.17803293,0.19426833,0.2082448,0.2168668,0.22041148,0.22001582,0.21556737,0.20623487,0.19049977,0.16741072,0.13779315,0.105335414,0.075683646,0.05404444,0.043275606,0.043048378,0.050837502,0.063032635,0.077461414,0.09416053,0.114718,0.13823204,0.16002123,0.17363721,0.17657928,0.1727848,0.17017515,0.17499352,0.18951696,0.21547152,0.2594085,0.32842946,0.41933393,0.50850224,0.56462735,0.56889063,0.53168577,0.47966802,0.43709323,0.4105936,0.39600945,0.38635758,0.37959647,0.37524363,0.37450063,0.37605634,0.37965846,0.38293257,0.38593113,0.3871616,0.38751295,0.38629258,0.38451555,0.3821237,0.38001478,0.37845084,0.3779033,0.37871107,0.38072035,0.38362384,0.3859348,0.38686034,0.38515794,0.38183317,0.37729582,0.37385786,0.3717297,0.37359092,0.38180587,0.40333238,0.43992722,0.48686013,0.5259263,0.5413738,0.52754515,0.49625286,0.46127185,0.42924893,0.39798614,0.365881,0.33694947,0.3162296,0.30459645,0.29666424,0.2854725,0.26711306,0.2438119,0.22238058,0.20974761,0.2092887,0.22125246,0.24519451,0.2796003,0.31939515,0.35534883,0.3793302,0.3888944,0.3868666,0.3751259,0.35046825,0.30823648,0.24942254,0.18613563,0.1362255,0.11434585,0.12150705,0.1457299,0.16828841,0.17613144,0.16644295,0.14597447,0.123857416,0.10889951,0.10926157,0.13140087,0.17618859,0.23602276,0.3013592,0.36728084,0.4338573,0.49568033,0.539028,0.5507322,0.53223854,0.4986242,0.4665612,0.44263276,0.42520437,0.41115353,0.40042964,0.39432362,0.3931186,0.3955438,0.39970037,0.4044784,0.40950787,0.41518715,0.42129764,0.427179,0.43146405,0.4333597,0.43286717,0.4310954,0.42976412,0.43035182,0.43357515,0.43871912,0.4445406,0.44977355,0.45402095,0.45713028,0.45912436,0.46017098,0.46111378,0.46327364,0.4691513,0.481843,0.5041603,0.53216904,0.55591565,0.56220627,0.54844624,0.52043587,0.48845127,0.45348784,0.41199875,0.36013916,0.30105275,0.24155639,0.18980527,0.15293008,0.13450424,0.13225216,0.13751616,0.14127505,0.13990684,0.13867845,0.14538376,0.16377564,0.18800817,0.20923136,0.22122405,0.22541189,0.22535859,0.2231765,0.21676265,0.20253228,0.17810218,0.14518914,0.11081079,0.08536627,0.078168534,0.0919106,0.12077174,0.15219106,0.1728764,0.1742335,0.15649997,0.12809363,0.102511086,0.09178995,0.10084442,0.124343604,0.15257297,0.181242,0.21959698,0.28020796,0.3633692,0.44517317,0.49525318,0.4982146,0.46727598,0.4277055,0.39858022,0.38338688,0.37751627,0.37632084,0.37799338,0.3823744,0.3893627,0.3985832,0.40893257,0.4188876,0.42682627,0.43186185,0.43414462,0.43512693,0.43683827,0.44095922,0.44784737,0.45670545,0.4658269,0.4735438,0.47856346,0.48121455,0.4828558,0.48527446,0.48865345,0.49194193,0.4933636,0.49226156,0.48888746,0.48622048,0.4899192,0.5084265,0.54370636,0.5853149,0.61100984,0.60437113,0.56813604,0.52073663,0.4794252,0.44714084,0.42003426,0.39569244,0.37850013,0.37100586,0.37075225,0.36926663,0.35630706,0.32407573,0.2723393,0.2126299,0.16497605,0.1471494,0.1621325,0.19446616,0.21938343,0.21847056,0.18995275,0.14733514,0.108190686,0.085065156,0.08250831,0.09956417,0.13099127,0.16700351,0.19639176,0.21107696,0.20978422,0.1953033,0.17160924,0.14287686,0.11472697,0.0928595,0.080300786,0.076784074,0.08213704,0.097961396,0.12548907,0.16116922,0.20003526,0.24276108,0.29932642,0.3757327,0.46062294,0.5239384,0.54167527,0.51403934,0.46669522,0.4254817,0.40184715,0.39096466,0.38618505,0.38410425,0.3848753,0.38674748,0.38685992,0.38286564,0.37586877,0.36935523,0.36653975,0.3681773,0.3716782,0.37460968,0.37509558,0.3745369,0.3734865,0.3734231,0.37355712,0.37482813,0.37679327,0.38006946,0.3830694,0.38515806,0.38505265,0.38316944,0.37993392,0.37717485,0.37718943,0.3815341,0.3896031,0.39724746,0.40102208,0.39886335,0.3936381,0.3874507,0.3820591,0.3740345,0.3589399,0.3309426,0.28922263,0.23897131,0.19213372,0.16099963,0.1516601,0.16094367,0.1787438,0.19548845,0.20630336,0.21209212,0.21456826,0.21394728,0.20915462,0.20088972,0.19184577,0.18425502,0.17743088,0.16794999,0.15213038,0.12871169,0.100040294,0.0712109,0.04747684,0.03158884,0.023018971,0.01912681,0.017358288,0.016192602,0.015278023,0.014660388,0.01448013,0.014651754,0.014954156,0.015120658,0.015021033,0.014651134,0.014065246,0.013814218,0.015585636,0.022719271,0.03810413,0.061715316,0.088380374,0.110985495,0.12426288,0.1284193,0.126949,0.12378507,0.12059152,0.11734444,0.11352161,0.1089977,0.10408461,0.099121265,0.094380535,0.0899751,0.08592108,0.08213357,0.078484185,0.074896395,0.07133629,0.067784615,0.0642231,0.060643047,0.057095524,0.053623185,0.050421197,0.047883797,0.04680487,0.047837343,0.051075887,0.055465806,0.05951814,0.06198162,0.06267036,0.062059436,0.060871612,0.05959304,0.058514494,0.057728913,0.057126578,0.0564229,0.055339392,0.053802047,0.051971063,0.050054565,0.048119247,0.046077978,0.04385832,0.041566987,0.039475147,0.037882313,0.036931377,0.036525413,0.036359563,0.03609426,0.03555377,0.034777686,0.0339209,0.03305106,0.032126468,0.031048058,0.029834105,0.028603481,0.027549403,0.026785577,0.026354194,0.026199808,0.026259618,0.026448952,0.026700243,0.02719053,0.028811181,0.033557802,0.04350758,0.058775786,0.075753964,0.088584356,0.092902906,0.08904252,0.08129624,0.07428112,0.069788694,0.06654539,0.062387925,0.05625191,0.04890801,0.04258512,0.040516943,0.045997214,0.060296554,0.08085995,0.10153263,0.11631962,0.12268659,0.12257031,0.11946797,0.11609018,0.11321042,0.11074414,0.10838527,0.106105864,0.10403926,0.1022537,0.10050115,0.09804305,0.09432124,0.0893571,0.08401688,0.079215184,0.07542821,0.07248586,0.069951184,0.06744185,0.06494219,0.063181296,0.06384256,0.06853979,0.07717093,0.08667979,0.09271202,0.09235403,0.08645475,0.07864275,0.07313222,0.07198537,0.07461125,0.07815387,0.07990862,0.07852623,0.075166345,0.072398126,0.07383058,0.081877165,0.09616422,0.1120961,0.123606,0.12710229,0.12377688,0.11739168,0.11053026,0.10338282,0.095161915,0.08609315,0.077320635,0.0699658,0.0643485,0.060192194,0.057008445,0.05435817,0.051926296,0.049586017,0.047384247,0.045420203,0.04369315,0.042077456,0.040449504,0.038815532,0.03730582,0.036033392,0.035008933,0.034176935,0.0335445,0.03319763,0.033235196,0.03365313,0.03432387,0.035012778,0.03581584,0.03772762,0.043056745,0.053887997,0.06987821,0.08686715,0.09934893,0.104127884,0.10227284,0.097223006,0.0918911,0.08791784,0.08672526,0.09065217,0.101011634,0.11639247,0.13179182,0.14252366,0.14675753,0.14685434,0.1457334,0.14491297,0.14363728,0.14107354,0.13720103,0.13294125,0.12908877,0.12593402,0.12330488,0.120892875,0.118458174,0.11584314,0.11307639,0.11026001,0.107598685,0.10525939,0.103404105,0.10202062,0.10095007,0.09988123,0.09858858,0.09691933,0.094909586,0.092697255,0.090587445,0.088851966,0.08765947,0.08701364,0.08687105,0.087166555,0.08782422,0.08870963,0.089655496,0.09046351,0.09099751,0.09121417,0.09119719,0.09108001,0.09103229,0.09121487,0.09176079,0.092677005,0.09381186,0.09484527,0.09542447,0.09530545,0.09452271,0.09334967,0.09217938,0.09128385,0.090739824,0.090399414,0.090043105,0.089440234,0.08848914,0.08740946,0.08699485,0.08846741,0.09247082,0.09817904,0.10330486,0.10581765,0.10518744,0.10268554,0.1003773,0.100515805,0.10495633,0.11374978,0.12448594,0.1326506,0.13507958,0.13116698,0.12307983,0.11267948,0.10104803,0.08846643,0.07624355,0.06718867,0.06555993,0.0755296,0.09800323,0.12843263,0.15727152,0.17586644,0.18096982,0.17632397,0.16763334,0.15918463,0.1520012,0.14617302,0.14166735,0.13890424,0.13765325,0.13714157,0.13605732,0.13375063,0.13021927,0.12629779,0.122764975,0.12062008,0.120982744,0.1249465,0.13236167,0.14113617,0.14791702,0.15029067,0.1482731,0.14413011,0.14000292,0.13653913,0.13259687,0.12708102,0.11950306,0.10999637,0.09870228,0.086972244,0.078658946,0.07886094,0.08914966,0.10382036,0.11251927,0.10823511,0.09287292,0.07470399,0.061161503,0.05418749,0.05170079,0.05095002,0.05055527,0.050011825,0.04918328,0.048036043,0.046764437,0.045586884,0.044634864,0.043894637,0.04337218,0.043055255,0.042920023,0.042802524,0.042523418,0.04195611,0.04113741,0.040219594,0.039355233,0.038619485,0.03795814,0.03729965,0.036626752,0.03601521,0.035567466,0.03530708,0.035227504,0.035272032,0.03540426,0.03548086,0.035310473,0.03463785,0.03319285,0.030632475,0.026648777,0.021318292,0.015450799,0.010572108,0.008283703]