[0.054088533,0.073931165,0.119289614,0.17888962,0.236528,0.2787958,0.3024684,0.31349444,0.3175553,0.31178764,0.2872419,0.23964028,0.17871045,0.12585911,0.10331249,0.121595226,0.1749856,0.24420588,0.30570415,0.34138724,0.34587023,0.32631066,0.2964778,0.26798257,0.24506925,0.22437342,0.20089896,0.17437875,0.15254766,0.14572193,0.1584503,0.1843308,0.21091725,0.22891037,0.23722869,0.23965205,0.23826252,0.23161262,0.21824206,0.20124294,0.18822686,0.18720795,0.20089793,0.22415893,0.24565904,0.2540112,0.24412824,0.22046347,0.1948489,0.17981984,0.18142433,0.19561845,0.21207547,0.22308372,0.22928356,0.23762476,0.25197944,0.2692336,0.28148928,0.2847886,0.2812595,0.2774224,0.27770987,0.2821737,0.2868768,0.28763747,0.2827022,0.272705,0.25913933,0.24282439,0.22501169,0.20785494,0.19453043,0.18713719,0.18596923,0.18926163,0.19472139,0.20045179,0.20565695,0.20997499,0.21262749,0.21185558,0.20555554,0.19244379,0.17269723,0.14767423,0.1194097,0.09055084,0.06436693,0.044482227,0.034436867,0.03740817,0.053928185,0.07932221,0.10253935,0.112031676,0.10270375,0.07971319,0.053270448,0.031874705,0.018319132,0.011362477,0.0086083375,0.008366741,0.009736524,0.012080874,0.014568724,0.016207315,0.016590593,0.017184133,0.02197851,0.036400184,0.06355555,0.10108154,0.1406161,0.17341994,0.19609384,0.21398705,0.2351058,0.26292548,0.29068825,0.3072521,0.30520853,0.2884144,0.26880917,0.25869438,0.26180884,0.2716734,0.277118,0.2709668,0.2545246,0.23475385,0.21804649,0.20629232,0.19772728,0.18993543,0.18296464,0.17908107,0.18149585,0.18968908,0.19943656,0.20372629,0.20029408,0.19310795,0.1917169,0.2015139,0.21978658,0.23579772,0.24082482,0.23333728,0.21971904,0.20678784,0.19752471,0.19002569,0.18210025,0.17461139,0.17257611,0.17977023,0.19458257,0.20787914,0.21110094,0.2014454,0.18581752,0.17386858,0.1737749,0.18683143,0.20844208,0.22928809,0.24061239,0.23884164,0.22771083,0.21525705,0.20810793,0.20799936,0.21192622,0.21554087,0.2156514,0.21186191,0.20533766,0.19762717,0.18838821,0.17605297,0.15902461,0.13771959,0.1147064,0.09351746,0.07755858,0.06892601,0.068743594,0.07682464,0.09090782,0.10580495,0.11499535,0.11573375,0.11288976,0.11743466,0.13954549,0.18084423,0.23334396,0.2828003,0.3179108,0.33351228,0.33199117,0.3151771,0.28327248,0.23476148,0.17678295,0.12532248,0.10080171,0.11362338,0.15857704,0.2176168,0.27132258,0.30836213,0.32746533,0.33374873,0.33210686,0.32552215,0.31521437,0.30412474,0.29647085,0.2970784,0.30677137,0.3207895,0.3289164,0.3222752,0.29911688,0.2668923,0.23673135,0.21637316,0.20673196,0.2031949,0.20023291,0.19512112,0.19053137,0.19338177,0.2089048,0.23393647,0.2551322,0.2594708,0.24533677,0.22555995,0.21425611,0.21497335,0.21929021,0.21875931,0.21425383,0.21487845,0.22822607,0.25159138,0.27226663,0.27501258,0.25341117,0.21482225,0.17723112,0.15656877,0.15666622,0.16844611,0.1804171,0.18866391,0.19642103,0.20642364,0.21465679,0.2149406,0.2052951,0.19167449,0.18354614,0.18880905,0.20931308,0.23988576,0.27062896,0.29257283,0.3025796,0.30368772,0.3008369,0.2970458,0.29254773,0.28695545,0.2806459,0.2747849,0.2693874,0.26232013,0.24982631,0.229375,0.2017153,0.1709776,0.14193119,0.11745178,0.09738044,0.08000094,0.06396657,0.049457952,0.03759409,0.029167958,0.02400043,0.022164404,0.025455395,0.037985656,0.061416637,0.09108037,0.114547215,0.12104001,0.10955024,0.09265829,0.087206274,0.10329801,0.13666321,0.17197673,0.19344483,0.19543213,0.18584533,0.17902873,0.18558691,0.20562018,0.23021686,0.24767847,0.2502513,0.23777835,0.21660995,0.19527395,0.17986588,0.17286481,0.17512895,0.18782692,0.21113186,0.24080925,0.26708838,0.2792032,0.27282014,0.25363323,0.23243089,0.2163174,0.20360132,0.18733275,0.16256118,0.1320007,0.105826646,0.0964972,0.11098492,0.14576657,0.18836264,0.22555321,0.25022134,0.26308525,0.26757208,0.2664751,0.26098672,0.25346416,0.24713548,0.24392062,0.24097735,0.23179777,0.21123914,0.1812218,0.15067999,0.12918662,0.11987581,0.11799222,0.11601978,0.110177845,0.103786506,0.10586596,0.125901,0.16669111,0.21991639,0.26914045,0.29963434,0.30712295,0.29790664,0.28170004,0.26452908,0.24740152,0.22898616,0.20850618,0.18673706,0.16560183,0.14728048,0.13320903,0.12331616,0.11643105,0.111036174,0.10667094,0.10356746,0.10223969,0.102088355,0.10191152,0.100827776,0.10030352,0.1046532,0.11958765,0.14871927,0.19011933,0.23649998,0.2781874,0.30813006,0.32232678,0.3191655,0.29722294,0.25905642,0.2137293,0.17756534,0.16688035,0.19014914,0.24242385,0.30702803,0.36299697,0.39395332,0.39496076,0.36990872,0.32668,0.2702277,0.20753305,0.15056391,0.118846774,0.12670742,0.17367573,0.23978885,0.29867044,0.33220017,0.33974245,0.3315278,0.31691003,0.29710296,0.26938662,0.23610006,0.20859063,0.20161952,0.2220823,0.26200274,0.30137226,0.32106307,0.31512368,0.29477045,0.27813247,0.27703533,0.2884505,0.30038407,0.30285457,0.2965138,0.29028645,0.29236725,0.30305615,0.3144744,0.3172469,0.30772164,0.29081717,0.27667093,0.27189696,0.27453366,0.2757719,0.26945767,0.2581375,0.25036982,0.2529509,0.26476094,0.27966285,0.2902449,0.2925498,0.28436896,0.2651047,0.23505951,0.19808535,0.16300248,0.14212519,0.14696546,0.18041827,0.23432927,0.2902076,0.33105564,0.3478309,0.34475568,0.3304595,0.31303623,0.29395628,0.27198634,0.24545522,0.21565457,0.18573184,0.1591741,0.13779843,0.12157419,0.109482825,0.10081004,0.09533837,0.09284976,0.09254471,0.09314207,0.093610674,0.09333361,0.09231334,0.09054428,0.08823583,0.085412286,0.08212998,0.07817314,0.073375255,0.06784938,0.062117025,0.056882408,0.052584365,0.04966481,0.049461275,0.05511425,0.06995985,0.09345121,0.11789193,0.13171107,0.12762843,0.10909564,0.087028116,0.07158121,0.06547869,0.065303124,0.065990455,0.0664804,0.07190198,0.0923283,0.13374619,0.19099951,0.2466325,0.28400552,0.29630086,0.288265,0.2661876,0.23329574,0.19143923,0.14644952,0.10973925,0.09545884,0.11329938,0.16225815,0.226928,0.2863762,0.3239019,0.3365328,0.33065164,0.31687582,0.30316415,0.29462335,0.29265627,0.29622865,0.3024408,0.30849454,0.31275427,0.31482244,0.31475487,0.3127438,0.3099145,0.30899915,0.31312847,0.32362297,0.33889088,0.35590848,0.37216985,0.3857125,0.39457595,0.39650908,0.39042935,0.3759223,0.3524934,0.31886998,0.27535814,0.22537337,0.17494369,0.12997611,0.09574252,0.07852619,0.08521828,0.11899826,0.17355292,0.23442824,0.28571138,0.31774545,0.3280404,0.31860092,0.2937493,0.2598688,0.22443198,0.19365819,0.17241563,0.16640376,0.18243068,0.2226506,0.27903745,0.3342736,0.37301087,0.39027953,0.39311424,0.3914878,0.39213833,0.3961526,0.40220502,0.40838742,0.41294006,0.41451862,0.41287288,0.40941235,0.4062175,0.404724,0.40487313,0.4055781,0.40573367,0.4047114,0.40240836,0.39876804,0.39380935,0.38761088,0.38038707,0.372164,0.3623272,0.34944594,0.33202374,0.31027493,0.28762498,0.26949224,0.26018214,0.26009193,0.26646018,0.27500772,0.28089377,0.2787168,0.26430836,0.23799728,0.20569961,0.17716242,0.16165291,0.16511308,0.18678695,0.21938507,0.25115415,0.2737317,0.28639147,0.29570433,0.3080217,0.3241003,0.33949658,0.3491675,0.35176405,0.34894702,0.34353694,0.33738062,0.33142015,0.32583666,0.3204983,0.31541693,0.31102505,0.30743596,0.3037502,0.29802677,0.28921202,0.27831087,0.26809964,0.26027977,0.25351262,0.24411146,0.23050718,0.21639778,0.21038556,0.21897054,0.24154274,0.26878187,0.29053164,0.3017662,0.3053742,0.30637905,0.3076537,0.30862948,0.30801448,0.30564857,0.30256975,0.3005775,0.30015913,0.2991463,0.2919754,0.27437297,0.24735332,0.2198131,0.20419313,0.21104772,0.24200146,0.28833556,0.33403733,0.3660458,0.38025132,0.382364,0.37967023,0.37595892,0.36925998,0.3565439,0.33754945,0.31796667,0.30656397,0.3091531,0.32204452,0.3327267,0.32859552,0.30678192,0.27561042,0.24550873,0.2193142,0.19260252,0.16236667,0.13496168,0.12256255,0.13426493,0.16796641,0.21218526,0.25312623,0.2825916,0.2993697,0.3050705,0.29850656,0.2758616,0.236306,0.18794714,0.14530867,0.12023217,0.112970054,0.11349625,0.1101814,0.10062613,0.09408859,0.10618359,0.14524579,0.20388849,0.25965562,0.29090297,0.29122242,0.27490786,0.26442873,0.27386084,0.29834083,0.32017115,0.3238398,0.30848503,0.28693125,0.2750937,0.28100142,0.3021498,0.328593,0.3488103,0.35402656,0.34267357,0.32058486,0.2973529,0.27940372,0.26754504,0.25897148,0.25162384,0.24476182,0.2376318,0.22770733,0.21313088,0.19515438,0.17911948,0.1693455,0.16495545,0.15974146,0.14929247,0.13671716,0.13263343,0.14705837,0.18153363,0.22633016,0.26699337,0.2929751,0.30294168,0.30215797,0.29668054,0.28930274,0.27958095,0.26665366,0.25174874,0.23847759,0.23093058,0.23106217,0.23803811,0.24907988,0.26104033,0.27189946,0.28109097,0.28961837,0.2975258,0.30290928,0.30099759,0.28716382,0.25929254,0.22000636,0.17531736,0.13193403,0.09454899,0.06522898,0.044245552,0.030807199,0.02328951,0.019621326,0.018304562,0.0193047,0.023711756,0.032324106,0.04420565,0.05655697,0.066064216,0.07166869,0.076345116,0.08676916,0.10687552,0.13354407,0.1551529,0.162331,0.15475495,0.1451707,0.15024646,0.18177526,0.23860516,0.30657384,0.36649275,0.4033917,0.4132845,0.39891505,0.3662746,0.3214922,0.27440277,0.23735513,0.22215134,0.23365092,0.26648957,0.30625406,0.3349172,0.34082446,0.32476243,0.2995073,0.27972668,0.27194953,0.27251613,0.27568522,0.2846986,0.3143201,0.37741923,0.46784315,0.5524654,0.59277964,0.57051176,0.503761,0.42743054,0.3697048,0.3355988,0.31634733,0.30138102,0.2878356,0.27782694,0.2748429,0.2789595,0.28729,0.29707173,0.3111308,0.34177455,0.400481,0.4853355,0.5667157,0.606842,0.5828502,0.5123662,0.43411684,0.38169932,0.35809746,0.34633288,0.329286,0.30435333,0.28065243,0.2669499,0.2659153,0.27241695,0.28110182,0.29107693,0.3110644,0.35262433,0.41915014,0.4951538,0.5532132,0.5725185,0.55429167,0.51776844,0.48273265,0.45815572,0.44203615,0.4313058,0.42404792,0.42132497,0.4221439,0.42523792,0.42764208,0.4276974,0.42491212,0.42009246,0.41485325,0.40952292,0.40465474,0.39946124,0.39591762,0.39849842,0.41835177,0.4645675,0.5361295,0.6094206,0.6516869,0.6399374,0.58395773,0.5144457,0.4622241,0.43496406,0.42372116,0.41579255,0.40811083,0.4027146,0.40015343,0.39297596,0.37092745,0.3286161,0.27345666,0.2217532,0.18868275,0.17756964,0.18053633,0.18720265,0.1929581,0.19954734,0.20873661,0.21869808,0.22388367,0.2196263,0.20454915,0.18249065,0.1606284,0.14473058,0.13444783,0.12277625,0.10523638,0.08818469,0.09274625,0.14260195,0.24615002,0.38228455,0.50809246,0.5851362,0.60372347,0.5839981,0.5549498,0.5339219,0.52218556,0.5141616,0.5058033,0.49753055,0.49027905,0.48446319,0.47807276,0.47007775,0.46149075,0.457817,0.46761942,0.49603102,0.5385608,0.5780935,0.59737873,0.58989435,0.5660925,0.5405708,0.5221302,0.50898653,0.49707854,0.48488548,0.4744399,0.46718776,0.46218917,0.45710263,0.4500338,0.4419633,0.43752256,0.44677663,0.4789876,0.5338171,0.59013635,0.61582255,0.5878816,0.51525635,0.43225953,0.37492064,0.35606757,0.3638525,0.37760457,0.3832935,0.37862456,0.36692736,0.3518953,0.3351314,0.31798956,0.30298033,0.29343095,0.29180208,0.2974809,0.30641845,0.31276277,0.31430912,0.31709576,0.3372357,0.38871947,0.46957517,0.5498736,0.5903351,0.56628245,0.49157557,0.4026779,0.33540425,0.30020663,0.28904617,0.28804967,0.29157007,0.29968825,0.31160298,0.32017413,0.31569135,0.29635176,0.27464202,0.2762459,0.32169518,0.41012183,0.5065031,0.5633838,0.54785246,0.46954787,0.36528206,0.273578,0.2084489,0.1652422,0.13453583,0.114364944,0.10995415,0.12808292,0.17070352,0.22996543,0.2904291,0.33917275,0.37727404,0.41934836,0.47797623,0.54531646,0.59272385,0.59163904,0.53881294,0.4598017,0.38913217,0.3460753,0.32850626,0.32395652,0.32339454,0.3252088,0.33067694,0.33940864,0.34779096,0.35251725,0.35328653,0.3570528,0.3764676,0.4217595,0.48731017,0.5457735,0.56497955,0.53192115,0.4672463,0.40466213,0.36582112,0.3452538,0.32743487,0.3029298,0.27726078,0.25999403,0.25741398,0.26647565,0.27927923,0.28844547,0.29624966,0.31713423,0.36593542,0.442789,0.5216927,0.5709386,0.57257915,0.5407854,0.50116014,0.47433755,0.46053007,0.45214036,0.44288167,0.43376246,0.428695,0.42887592,0.4328526,0.4362397,0.43659446,0.43263504,0.42568827,0.41726577,0.40848342,0.4003086,0.3929219,0.38980094,0.39717603,0.4270182,0.4848065,0.56228036,0.62924,0.6540861,0.62339103,0.55689394,0.48867568,0.44454777,0.42740095,0.42568776,0.42758942,0.42779854,0.42541397,0.4170017,0.39596602,0.35611534,0.29973873,0.23932128,0.19278009,0.17245828,0.17850602,0.19981569,0.22219719,0.23599029,0.23953247,0.23605423,0.22878283,0.21684702,0.19740643,0.17170866,0.14891554,0.14437689,0.16939576,0.22418673,0.2942952,0.36068317,0.41093466,0.44913384,0.48841977,0.5371978,0.58613604,0.6157684,0.61255336,0.58305997,0.54682034,0.5218084,0.51226306,0.51203054,0.51227397,0.5087016,0.50141674,0.49320462,0.4856809,0.4791169,0.4724215,0.46724856,0.46882084,0.4848121,0.5174083,0.5576955,0.58839655,0.595842,0.58100337,0.55638075,0.53518295,0.52097464,0.51019186,0.4984453,0.48595285,0.47569624,0.46956065,0.46578968,0.46013334,0.44931325,0.43514213,0.42581525,0.43447888,0.46886548,0.522795,0.5709408,0.5852162,0.55140823,0.48227414,0.40355077,0.33857775,0.29502082,0.27073094,0.2596675,0.25819612,0.2636803,0.27450326,0.2880293,0.3012091,0.31046405,0.31410053,0.31293175,0.30959636,0.30630076,0.30321267,0.3001406,0.29935452,0.30958024,0.343348,0.4070518,0.48792616,0.55298907,0.56900144,0.5266257,0.44976068,0.37436593,0.32377136,0.29628682,0.27921754,0.26472533,0.2576611,0.26581863,0.28924596,0.3152012,0.3277025,0.32041422,0.30556095,0.3092669,0.3522897,0.4311626,0.50931793,0.5419393,0.50501376,0.418444,0.32543364,0.26510683,0.24679919,0.25732696,0.27690396,0.29794788,0.32951197,0.3844236,0.46113244,0.5307529,0.55911183,0.53383654,0.48629847,0.46245393,0.4892687,0.5451281,0.58508873,0.57173395,0.5080179,0.42425653,0.35767552,0.32419616,0.3195231,0.326889,0.33322826,0.33262685,0.3261079,0.31652772,0.3063244,0.29812518,0.29721972,0.31427112,0.35939,0.43292794,0.5141652,0.5700217,0.5734499,0.5268597,0.45820153,0.40043625,0.36631784,0.3467181,0.32639697,0.30005434,0.27436444,0.25785708,0.25340104,0.25672147,0.26226887,0.26831004,0.28139642,0.31428692,0.3761654,0.4605237,0.5405151,0.5863917,0.58438987,0.54944754,0.5070151,0.4776825,0.46319255,0.4578403,0.45399868,0.45029914,0.4466728,0.44355476,0.4395418,0.43311462,0.4246339,0.41538098,0.40785465,0.4020215,0.3976934,0.3931605,0.3899356,0.39238724,0.410239,0.45242253,0.51929307,0.5930899,0.64316875,0.6437729,0.5947656,0.52164423,0.45688224,0.4169277,0.3987548,0.3897835,0.38311628,0.37876582,0.38015458,0.3842168,0.3832157,0.36930057,0.3438878,0.31510577,0.29092562,0.2721959,0.25509462,0.23740411,0.22147356,0.21187405,0.21080105,0.21594651,0.22202754,0.22342463,0.21739952,0.2045564,0.1896639,0.17900199,0.17732005,0.1835622,0.19305144,0.20395833,0.22351706,0.26562834,0.33839333,0.43353644,0.5238459,0.58075696,0.5905015,0.5651032,0.52729076,0.49664876,0.47730148,0.46580616,0.45678994,0.45016733,0.44776765,0.45190313,0.46096507,0.47069168,0.47673175,0.4799391,0.48836985,0.5108573,0.54861313,0.5879288,0.61092466,0.6069429,0.5837667,0.5563941,0.53701997,0.5256045,0.5170763,0.5070544,0.49615493,0.48682156,0.4801952,0.47472516,0.46772718,0.4577662,0.44750544,0.44442144,0.4592024,0.4959464,0.54348654,0.5739832,0.56167513,0.5025607,0.42176628,0.35383007,0.32051447,0.31923178,0.3336998,0.3467443,0.35015705,0.34327152,0.33088994,0.31813952,0.30904832,0.3047457,0.30564082,0.31177986,0.32315418,0.33796072,0.35240123,0.36360443,0.37297606,0.39103937,0.43052158,0.4966656,0.5704803,0.6176627,0.6079163,0.544555,0.4598112,0.39353824,0.3634419,0.3626472,0.37215507,0.3782688,0.37851453,0.37627432,0.373162,0.36336973,0.34163895,0.31251037,0.2975782,0.323216,0.3996254,0.5021984,0.5784753,0.5810738,0.50269383,0.38248408,0.27482006,0.21232884,0.1920196,0.19261484,0.19685797,0.20205162,0.21416265,0.2387578,0.2749848,0.31651315,0.35724413,0.39785352,0.44816414,0.5162947,0.5951284,0.65416616,0.659489,0.5986043,0.4975743,0.3998039,0.3388853,0.31806478,0.3216615,0.33031663,0.33400187,0.33051956,0.32215652,0.31181467,0.30050907,0.2903212,0.28763983,0.30894208,0.3683635,0.464178,0.5630973,0.62108904,0.60984415,0.5443955,0.46487853,0.4078492,0.37889203,0.3623313,0.34160665,0.31497923,0.29132715,0.27910712,0.28026465,0.29150295,0.30908093,0.3326079,0.36710033,0.41912988,0.48880386,0.56158614,0.61449784,0.6303763,0.6122074,0.5780971,0.54715806,0.5276088,0.5175114,0.5131571,0.51167256,0.5125478,0.51355296,0.5136825,0.5119231,0.5089827,0.5051341,0.50005585,0.4935869,0.48542142,0.4771104,0.46922806,0.46440682,0.46609643,0.4840254,0.5251097,0.58661646,0.64364797,0.6648915,0.6312347,0.5567929,0.47451404,0.4143876,0.38294026,0.36987147,0.3623327,0.3565215,0.35488477,0.3566691,0.35128888,0.32325518,0.26636335,0.19276224,0.12672253,0.08591289,0.070585765,0.066898145,0.062562,0.05551624,0.054952573,0.07192728,0.11114478,0.16593184,0.22147357,0.26377675,0.28634727,0.29239246,0.2893987,0.28540978,0.2845336,0.28706488,0.2891511,0.28678867,0.27838603,0.2668557,0.25644514,0.24893539,0.24056852,0.22576495,0.20274925,0.1780486,0.16147311,0.15921623,0.16888374,0.18347657,0.19644243,0.20465226,0.20722397,0.2038487,0.19470398,0.1808235,0.16519374,0.15239029,0.14729397,0.15233926,0.16595052,0.1836855,0.20077135,0.21442936,0.22347955,0.22771473,0.22703862,0.22226788,0.21529658,0.20886803,0.20501845,0.20368755,0.20180483,0.19411118,0.17599697,0.14732248,0.113994576,0.084479444,0.063993506,0.0512937,0.04232266,0.036190215,0.038387176,0.056774016,0.09407246,0.14288084,0.18779065,0.21440633,0.21712212,0.20162831,0.1788131,0.15759312,0.13983172,0.1221618,0.10085081,0.07624845,0.052574832,0.034330834,0.02312459,0.017464459,0.015321656,0.016320318,0.022724574,0.036980953,0.05940802,0.08562776,0.10957074,0.12611903,0.13477826,0.13742377,0.1370271,0.13542952,0.13407505,0.13385333,0.13515998,0.1387909,0.14590913,0.15817451,0.17466389,0.19195335,0.20430453,0.20771666,0.20079291,0.18588053,0.16733687,0.15133537,0.1449144,0.15553351,0.18811941,0.23999615,0.29892313,0.34738687,0.3746313,0.38057938,0.37357545,0.3574563,0.3312753,0.29065084,0.24071252,0.197212,0.18734686,0.23275276,0.33436358,0.4603672,0.562274,0.6033816,0.5827463,0.52910733,0.47598138,0.4405198,0.4214281,0.41045606,0.4010981,0.39244595,0.38649786,0.38691893,0.39403078,0.4052446,0.41709006,0.43353987,0.46624509,0.52478284,0.60027045,0.6604414,0.67010427,0.61892444,0.5355423,0.46361518,0.43130052,0.43241572,0.44320998,0.44276986,0.42793497,0.40677294,0.3909472,0.38633084,0.39221272,0.40288267,0.41586348,0.4384214,0.4815898,0.54802257,0.6178854,0.6636401,0.6658295,0.6335651,0.5890157,0.55566025,0.54021734,0.54027635,0.5480462,0.5585427,0.5689695,0.57779783,0.5849786,0.5895346,0.5918999,0.59110665,0.5882922,0.5844761,0.58170915,0.58024484,0.57884675,0.5776356,0.57981056,0.59331363,0.6224654,0.6629216,0.69677454,0.70492226,0.67923164,0.63062984,0.5789349,0.53818727,0.5105404,0.489929,0.47312745,0.4602575,0.45436904,0.45247456,0.44676852,0.42659223,0.38867214,0.33880034,0.28880626,0.24674559,0.2135617,0.18490922,0.15858598,0.1365074,0.12386876,0.12203473,0.12751769,0.13202716,0.13066997,0.12423789,0.12124019,0.13068193,0.15707421,0.19537388,0.23458688,0.2657305,0.2905775,0.3234565,0.3799691,0.46246716,0.55132693,0.6190639,0.64899015,0.6484783,0.6362451,0.62873334,0.62981564,0.63805264,0.6500593,0.66379184,0.67546034,0.6816917,0.68042713,0.673167,0.6627199,0.65279317,0.6472468,0.65077686,0.6650212,0.6843224,0.69748944,0.6963442,0.6839971,0.6701035,0.66230077,0.66001815,0.6601984,0.6612065,0.6635641,0.6656713,0.6638909,0.6549578,0.639035,0.61978406,0.6029718,0.5950919,0.6019468,0.6238871,0.6516354,0.66406393,0.642267,0.5818888,0.50388044,0.43699956,0.40167892,0.39519167,0.40285638,0.41010308,0.4119834,0.40954491,0.40452996,0.39748868,0.38894418,0.38120914,0.37771598,0.38138735,0.3925446,0.40759894,0.42106485,0.4292563,0.43519056,0.4483602,0.48036352,0.5333808,0.5932128,0.63122994,0.62422067,0.5713486,0.49778238,0.43456414,0.39867556,0.38575098,0.38169608,0.37767234,0.3765278,0.38657892,0.41048363,0.43899298,0.45733765,0.45691752,0.44600514,0.44669256,0.47845852,0.53807765,0.59048563,0.59254074,0.5247572,0.4163312,0.32138446,0.28369913,0.3055596,0.35974082,0.41337505,0.44862425,0.46139908,0.45428717,0.43177938,0.40111098,0.37142992,0.3536891,0.35990846,0.39957407,0.47041008,0.54864895,0.59980106,0.5988059,0.551704,0.48620796,0.432429,0.402943,0.39411452,0.39511716,0.39679608,0.39649987,0.3980733,0.40872252,0.43129578,0.45996404,0.4849608,0.5041981,0.5273268,0.5659377,0.6137705,0.6458625,0.63504624,0.58037573,0.5076597,0.45128772,0.4270203,0.4279418,0.4354638,0.43475926,0.42165986,0.40107062,0.38237587,0.37149382,0.36840126,0.37011436,0.38032445,0.41067478,0.4701748,0.54985994,0.62047267,0.651808,0.63395244,0.58588356,0.53676873,0.5084965,0.5033178,0.5136478,0.5288272,0.54383445,0.5567403,0.5672147,0.57390934,0.5742722,0.56825036,0.5575464,0.54775816,0.54231673,0.5436676,0.5492328,0.55651385,0.56379825,0.5751831,0.59694386,0.6318915,0.67162913,0.6989562,0.69866824,0.6697635,0.6261623,0.5864821,0.56137997,0.5505688,0.54734117,0.5466631,0.5459222,0.54412204,0.53814363,0.525471,0.5049719,0.47763112,0.44371215,0.40392792,0.3630358,0.33006725,0.31180596,0.30556792,0.30244207,0.2978275,0.2970679,0.30849087,0.3319296,0.3573577,0.3727057,0.3738892,0.36470985,0.35135183,0.33604857,0.3168057,0.29491404,0.2804527,0.29413435,0.35026518,0.44436637,0.54555136,0.62080413,0.65325326,0.65412277,0.6425175,0.6322415,0.6246969,0.6191175,0.6164481,0.61839724,0.62330014,0.62627655,0.6232619,0.6137863,0.60141796,0.59156114,0.5906964,0.6027109,0.6262374,0.64974135,0.6603885,0.65106493,0.6305832,0.6115627,0.6039792,0.6060782,0.6136852,0.6223614,0.6303907,0.63518095,0.6343284,0.6271932,0.61601263,0.6044505,0.5964419,0.5956585,0.6059563,0.626756,0.64936614,0.6566961,0.6356673,0.58758277,0.53048724,0.48471442,0.46086177,0.45483625,0.4565613,0.4571911,0.45447156,0.45035192,0.44832495,0.44941607,0.4521093,0.45369947,0.45301506,0.4512821,0.45101973,0.45388392,0.45901683,0.46503654,0.47341916,0.49194834,0.5286343,0.5831378,0.6373567,0.66604084,0.6517996,0.60173994,0.5380202,0.48295948,0.44374284,0.41641858,0.39512968,0.3795509,0.37492236,0.38490787,0.406383,0.42713925,0.43535683,0.42963633,0.4245464,0.44154838,0.49096707,0.5570051,0.5992534,0.58015686,0.49508354,0.38310054,0.29788056,0.2718382,0.29717624,0.34379062,0.38591576,0.42109135,0.46353164,0.52386737,0.5884473,0.62291455,0.60000503,0.5301729,0.46228647,0.445838,0.4920857,0.56180817,0.60259247,0.5849014,0.52439934,0.45652106,0.4121491,0.3962606,0.39877188,0.40573725,0.4112241,0.41477033,0.41794443,0.4202199,0.41925374,0.4138378,0.4087604,0.41808757,0.45618868,0.52356714,0.59344524,0.62877923,0.60682875,0.54383326,0.47689834,0.438257,0.43009785,0.43552366,0.43586925,0.4256283,0.40901935,0.3918717,0.3764116,0.36127555,0.34641895,0.33703008,0.3462213,0.38725773,0.461691,0.5496547,0.619385,0.64681244,0.6319773,0.5942264,0.55624723,0.53103113,0.5206859,0.5226645,0.53172916,0.54284304,0.5492719,0.5485228,0.54016274,0.52838564,0.51597023,0.5053311,0.4966567,0.4898354,0.48557213,0.48376334,0.48594764,0.49362335,0.51451975,0.5544804,0.6132095,0.6714759,0.7034395,0.6898126,0.6365016,0.56657195,0.5055583,0.46535757,0.44450334,0.43652132,0.43696094,0.44375595,0.45313373,0.4567927,0.44537094,0.41399133,0.36777553,0.31804064,0.27534798,0.24276559,0.21711121,0.19497389,0.17752619,0.17172456,0.18466651,0.21781094,0.26279137,0.30602106,0.33687177,0.3524896,0.35561523,0.3474051,0.32641137,0.2907181,0.24552983,0.20597637,0.1962434,0.23771115,0.33263788,0.45564866,0.56552315,0.63199514,0.6528407,0.64782596,0.6374077,0.63003474,0.6247414,0.62045664,0.61859125,0.6205922,0.6246981,0.6276217,0.6262376,0.62024856,0.61182183,0.60634774,0.60994077,0.6257026,0.6493377,0.6693124,0.67586,0.6673325,0.65263724,0.64025855,0.6342573,0.63239,0.6332105,0.6360702,0.64033693,0.6437814,0.64424914,0.64162093,0.6369795,0.6318733,0.6281629,0.6299525,0.64129156,0.6614115,0.67820024,0.6741874,0.6369502,0.5726959,0.5004422,0.4409318,0.4019643,0.37986913,0.36623767,0.35696688,0.35438204,0.36356542,0.38619104,0.41653,0.4441665,0.46084687,0.46569023,0.4642044,0.4631745,0.46601284,0.471946,0.47921073,0.48931313,0.50950295,0.5460768,0.59577346,0.63970417,0.6560113,0.63514704,0.59027183,0.5444822,0.5151842,0.50331265,0.50059086,0.4987224,0.49649033,0.49592665,0.4980297,0.49800184,0.48895872,0.4673513,0.44070435,0.42787883,0.44798747,0.5042512,0.5709274,0.6083866,0.5871249,0.51407045,0.42126706,0.3436378,0.29356435,0.26494443,0.24609499,0.23330323,0.2307049,0.24341045,0.27064463,0.30316034,0.3295953,0.34590623,0.36291134,0.39946592,0.46581092,0.54800254,0.61250466,0.62938124,0.5948431,0.53243136,0.4723153,0.43194684,0.41117868,0.4026536,0.40023193,0.402059,0.40751085,0.41527995,0.42289296,0.42796275,0.43142566,0.43990505,0.46613005,0.5181259,0.58725256,0.64167815,0.64796066,0.5960085,0.51470864,0.44613007,0.41744936,0.42215744,0.4385318,0.44784185,0.44677648,0.4397544,0.43227682,0.4262539,0.4217237,0.4191986,0.42306414,0.443143,0.48737177,0.5525129,0.615766,0.65062207,0.6421686,0.60334045,0.5581518,0.5291531,0.52112776,0.5300519,0.54680985,0.56549937,0.58125615,0.5909688,0.59253645,0.58540434,0.5717953,0.55529857,0.54065824,0.5304959,0.5250997,0.5219334,0.51772696,0.5126298,0.51184005,0.5266736,0.5635212,0.61686444,0.66321,0.6775913,0.6491935,0.5926683,0.53515273,0.49814305,0.4862877,0.49035487,0.4992609,0.5051665,0.50549275,0.49630514,0.471851,0.42645025,0.36259976,0.2937775,0.23842669,0.20869076,0.20271891,0.20820536,0.21154265,0.20669329,0.19832057,0.19829535,0.21794502,0.25827363,0.30818892,0.3497826,0.37111497,0.37298477,0.36827853,0.37036732,0.3819184,0.3939409,0.39823556,0.40199217,0.42417538,0.47719178,0.5487456,0.6108307,0.64088887,0.6407492,0.6269652,0.6164592,0.6134109,0.6153643,0.6178015,0.61913276,0.61842865,0.6155634,0.61040163,0.6037685,0.5965974,0.59158856,0.5926585,0.60491055,0.62806636,0.653888,0.66887444,0.66563255,0.6493008,0.6321333,0.6230469,0.6218657,0.62439996,0.62719876,0.6290915,0.6286815,0.6241586,0.6146984,0.60146785,0.5870661,0.5748251,0.5693528,0.57743007,0.6025892,0.63872975,0.6638384,0.6548216,0.6023348,0.5263029,0.45791852,0.42203125,0.41739616,0.42754784,0.4330981,0.42682263,0.41161737,0.39446452,0.37901327,0.364751,0.35103166,0.3399609,0.33598304,0.3406427,0.35017523,0.35683513,0.35614213,0.35263526,0.36127508,0.39987394,0.4734508,0.56273454,0.62744623,0.6340468,0.5797469,0.49653217,0.42336357,0.38082048,0.36383364,0.35742113,0.3525735,0.35135642,0.35986102,0.3786939,0.39948186,0.41030547,0.4069489,0.3994806,0.4106467,0.4574273,0.53393024,0.60175914,0.6163838,0.55777186,0.45234945,0.34760642,0.28008837,0.25199243,0.24596064,0.24655294,0.2575415,0.2976869,0.3804351,0.49162745,0.58283925,0.6020736,0.5309879,0.40559328,0.28644976,0.22040479,0.21321799,0.24250431,0.2783992,0.303758,0.31427228,0.31374785,0.30501795,0.2895131,0.26811463,0.24514817,0.22565717,0.21390434,0.2098285,0.21147604,0.21528058,0.21906541,0.2215429,0.22369462,0.2264774,0.23002465,0.23213045,0.23123841,0.22833385,0.2277609,0.2323315,0.24005823,0.24364062,0.2370059,0.21961223,0.19760369,0.1781919,0.16582042,0.16032235,0.15924643,0.1600635,0.1619276,0.16616549,0.17511141,0.18998004,0.20844896,0.22509892,0.23424937,0.2336226,0.22509472,0.21267708,0.19973576,0.18792121,0.17750931,0.16804935,0.15862888,0.14835902,0.13674575,0.12401759,0.1106788,0.097499974,0.08516309,0.07448688,0.06589128,0.059588447,0.05530447,0.052582126,0.050595354,0.048456397,0.045535997,0.04179356,0.037828673,0.03473771,0.034361556,0.039397758,0.0527323,0.075213574,0.10374194,0.13219039,0.1555338,0.17367955,0.18949914,0.20370604,0.21081144,0.20384209,0.1807323,0.14851452,0.11832138,0.09900108,0.09240962,0.095041335,0.1015925,0.10843095,0.11438376,0.12015363,0.12661158,0.1332041,0.13685332,0.13357937,0.12158125,0.10350275,0.084374584,0.06778466,0.05413199,0.04355268,0.039692115,0.04965451,0.07913702,0.12636073,0.181446,0.23109233,0.2666175,0.28660616,0.2952119,0.29651412,0.29230306,0.28200915,0.26539692,0.2439872,0.22140878,0.20144816,0.18608244,0.17464668,0.16517712,0.15671422,0.15075554,0.15103264,0.16052736,0.17859423,0.1998095,0.21762796,0.22855826,0.2337361,0.23560931,0.2341428,0.22667003,0.21117926,0.18951444,0.16698939,0.14942636,0.14022762,0.13908517,0.14301406,0.1485921,0.15432419,0.16154961,0.17173277,0.18464416,0.1963809,0.20358665,0.20465277,0.20225614,0.19969612,0.20027368,0.20475698,0.2125402,0.2209444,0.22754681,0.23038982,0.22962199,0.22532938,0.21757185,0.20598932,0.19235037,0.18055524,0.17481141,0.17585425,0.1799202,0.18119003,0.1765003,0.16784446,0.16093762,0.16080813,0.16797747,0.1784913,0.18697679,0.19051312,0.18955053,0.18645178,0.18329471,0.1810082,0.18050782,0.1832111,0.19117455,0.2034881,0.215259,0.21798135,0.20688416,0.18414621,0.1587829,0.13885473,0.12745391,0.122330695,0.12032759,0.11974749,0.12013107,0.12039065,0.11815857,0.111746706,0.10190901,0.09204247,0.08536426,0.08353293,0.08707758,0.09696055,0.11374404,0.1354552,0.15764676,0.17622447,0.19071712,0.20358734,0.2167902,0.22841935,0.23353769,0.22820328,0.21338426,0.19474258,0.17870267,0.16826983,0.16262929,0.1597357,0.15959674,0.16388422,0.17375173,0.18684722,0.19803578,0.20174451,0.19547345,0.18116085,0.16485578,0.15368569,0.1521203,0.15948598,0.17165774,0.1846896,0.19654256,0.20550746,0.2079169,0.20026922,0.18220498,0.1589781,0.13788883,0.1249415,0.12138135,0.12471976,0.13033651,0.1349691,0.13865729,0.14533602,0.1594833,0.18241791,0.20964153,0.23375504,0.24829318,0.25123924,0.24370384,0.22823481,0.20741244,0.18421204,0.16163139,0.14175494,0.12534888,0.11257524,0.10352153,0.097961225,0.094528705,0.09132587,0.08686426,0.08110077,0.074859,0.069157176,0.06449291,0.061036196,0.058787476,0.05780905,0.05800357,0.058969323,0.059876878,0.060080033,0.059739362,0.060653616,0.06535321,0.076018386,0.09214932,0.111788444,0.13258523,0.15483625,0.17783916,0.19789751,0.20606983,0.19609487,0.16954732,0.13808991,0.114742726,0.106775455,0.11194995,0.12286196,0.13148521,0.13330533,0.12804322,0.11898717,0.11064709,0.105514735,0.10352034,0.102556944,0.10204601,0.10361404,0.110771686,0.1254973,0.14595307,0.16732766,0.18545003,0.20068586,0.2168205,0.23683591,0.25878006,0.27682874,0.28596792,0.28563145,0.27932653,0.27115119,0.26334134,0.25557932,0.2464471,0.23506786,0.22267304,0.21188462,0.20422022,0.19813527,0.19045375,0.18027115,0.17119098,0.16859151,0.17503493,0.18720905,0.19908965,0.20656103,0.21080665,0.21499272,0.21924083,0.21833201,0.20692952,0.18569303,0.16234922,0.14514484,0.13696702,0.1346878,0.13414408,0.13373774,0.13540514,0.14194104,0.15552743,0.17530137,0.19763254,0.21619254,0.22550958,0.22343294,0.21271826,0.19926935,0.18873353,0.18359597,0.18196742,0.17988698,0.17457122,0.16647239,0.1582058,0.15187652,0.14794414,0.14583816,0.14559996,0.14806014,0.153906,0.16227692,0.17067027,0.1759717,0.17634688,0.17211945,0.16574247,0.16008197,0.15726064,0.15764159,0.16064177,0.16473891,0.16833173,0.16943407,0.16685617,0.15996099,0.15038472,0.14180075,0.14050424,0.1496414,0.16643888,0.18059887,0.18337832,0.1722406,0.15305781,0.13324209,0.11883914,0.11217865,0.11296598,0.11790013,0.122791074,0.12467304,0.12365682,0.1216762,0.1206458,0.121021,0.12230987,0.12442122,0.12835366,0.13538839,0.14524665,0.15567839,0.16434796,0.17125179,0.17970152,0.19303764,0.21179348,0.23119372,0.24505423,0.24885698,0.24385738,0.23509425,0.22898926,0.22891553,0.23373033,0.23863645,0.23866661,0.23221527,0.22176611,0.21148656,0.20400564,0.19900517,0.19535066,0.19317901,0.1945286,0.2005564,0.20943578,0.21719538,0.22092217,0.22136874,0.22029448,0.2174748,0.20902272,0.19219166,0.1687228,0.14537226,0.12873256,0.12148326,0.12148744,0.12467579,0.12788445,0.1308739,0.13646387,0.14914216,0.17165776,0.20187557,0.23231,0.25393555,0.26133135,0.25539932,0.24187046,0.22690289,0.21393836,0.20249711,0.19076012,0.17728789,0.16285862,0.14880896,0.136335,0.12510563,0.114508875,0.10422644,0.094854176,0.08700871,0.08055424,0.07496732,0.0697074,0.0650465,0.061195124,0.058451638,0.056668907,0.05584888,0.055870805,0.056565966,0.057553027,0.058298856,0.05827907,0.057015464,0.05473501,0.0533326,0.05743329,0.072414495,0.10011538,0.13423248,0.16293496,0.17594479,0.17240538,0.1592202,0.14532556,0.13507089,0.12869166,0.124368936,0.121088944,0.118821554,0.1187469,0.12176178,0.12686019,0.12981768,0.12584762,0.11375571,0.09846417,0.08746505,0.08545122,0.091255575,0.10103672,0.11247826,0.12742159,0.14963587,0.18127167,0.21906374,0.25438508,0.27686802,0.28093922,0.26905385,0.25010264,0.2325722,0.21982737,0.20956822,0.19871835,0.18760645,0.18049347,0.18167333,0.19123447,0.20451172,0.21557252,0.22152583,0.2234024,0.22361054,0.22330678,0.2222833,0.22104967,0.22114354,0.22409724,0.22818679,0.22902803,0.2215013,0.20538874,0.18535405,0.1684547,0.1575803,0.1512993,0.14610904,0.14101832,0.13697128,0.13601707,0.13991447,0.15055479,0.1680578,0.18903302,0.20746331,0.21875422,0.22380088,0.22689068,0.23245482,0.24018405,0.24743338,0.24984264,0.24600716,0.23623383,0.22398098,0.2121781,0.20310754,0.19661248,0.19248468,0.19048752,0.19111657,0.19416653,0.19927938,0.20535289,0.2106107,0.2120262,0.20763876,0.19823773,0.18797852,0.18090083,0.1787405,0.18026279,0.1835655,0.18716967,0.19030714,0.19210781,0.19203167,0.19046737,0.18981868,0.19228925,0.19735156,0.19958627,0.19287378,0.1754697,0.15271048,0.13266926,0.12062209,0.116437644,0.11646831,0.116610765,0.11446745,0.11018592,0.10611231,0.10494006,0.10762007,0.11253431,0.11733276,0.12129452,0.12659122,0.13650872,0.15276806,0.17338969,0.19394971,0.210643,0.22331162,0.23466891,0.24676806,0.2575201,0.26163372,0.25517178,0.24014394,0.22406554,0.21505105,0.2162251,0.22446029,0.2335437,0.23814827,0.23627329,0.22851829,0.21765381,0.20612295,0.19611435,0.18780915,0.18191881,0.17862488,0.17900574,0.18236464,0.18752219,0.1929173,0.19877589,0.2065937,0.2166726,0.22614717,0.22936828,0.22275783,0.20780177,0.19009596,0.1751916,0.1651784,0.16004615,0.15857351,0.1608697,0.16744924,0.17990507,0.19859391,0.22182709,0.24483801,0.2620771,0.2693729,0.26640987,0.2560453,0.24339195,0.2328518,0.22705609,0.22530119,0.22493424,0.22225644,0.21508785,0.20294712,0.18740113,0.17021532,0.15287064,0.13577439,0.11916124,0.10343336,0.08946842,0.078130215,0.06962505,0.06346616,0.058695715,0.054746863,0.05145039,0.04895906,0.047196075,0.045918975,0.04491232,0.04407901,0.043386433,0.04261513,0.042608652,0.046109926,0.058234643,0.081061065,0.10971022,0.13085301,0.13310641,0.114688724,0.08610627,0.059918094,0.043117408,0.034592766,0.030217467,0.027433323,0.027609007,0.035868313,0.057843994,0.094898455,0.14046688,0.18288429,0.21261913,0.2285866,0.23730642,0.24670696,0.25968787,0.27294847,0.28063574,0.27956983,0.27130267,0.2603782,0.2504559,0.24183662,0.23149069,0.21619393,0.19584441,0.17498034,0.1594808,0.15246858,0.15228482,0.15522514,0.15858746,0.16183764,0.16544504,0.16942708,0.17274082,0.17301041,0.16841866,0.1593457,0.14979684,0.14426774,0.14504151,0.14996803,0.15534998,0.15832262,0.15945446,0.16096443,0.16519229,0.1718781,0.17939132,0.18556462,0.1896414,0.19103839,0.18860559,0.17970805,0.16199714,0.1358804,0.10634872,0.080433436,0.062695086,0.051840752,0.043780297,0.036421675,0.033165257,0.04014844,0.061288357,0.093779564,0.12832059,0.15380925,0.1634016,0.15770926,0.14283314,0.12594008,0.11139178,0.09995473,0.090001546,0.07966077,0.06804336,0.055642027,0.04376168,0.033933703,0.027271038,0.024618851,0.027053451,0.036359806,0.053827938,0.07849672,0.10599887,0.1304661,0.14724351,0.15536001,0.15699518,0.15571181,0.15404099,0.15243486,0.1504907,0.14859293,0.14960846,0.1564491,0.17021243,0.18745078,0.20286803,0.21088272,0.20917468,0.1977892,0.18003565,0.16085891,0.14806266,0.1504773,0.17611687,0.22548024,0.2883705,0.3454491,0.38007307,0.38735422,0.37606493,0.35705265,0.33455122,0.3039255,0.26207393,0.21632545,0.18805747,0.20425887,0.27869877,0.39780673,0.51866066,0.59728736,0.61238337,0.58002836,0.5305154,0.4892243,0.46153292,0.44267476,0.42597625,0.40965834,0.39589742,0.38790372,0.38789916,0.39429387,0.40467584,0.41902462,0.44591203,0.49464834,0.56491303,0.63293034,0.6662027,0.64385855,0.5799354,0.5090197,0.4631363,0.44772443,0.44817328,0.44586945,0.4333829,0.41487217,0.39909574,0.39243963,0.3943926,0.40014565,0.4061155,0.41922513,0.4525436,0.5135465,0.587272,0.64352804,0.65637106,0.62705404,0.57879895,0.5391357,0.52016735,0.51977485,0.52885836,0.5403354,0.54935414,0.5535869,0.5528835,0.54903394,0.5447278,0.5416903,0.54057676,0.5411059,0.5420304,0.5429159,0.5427237,0.54285103,0.5449329,0.55572027,0.58028704,0.6193094,0.65859765,0.6787041,0.6650688,0.6232745,0.571286,0.5273755,0.497502,0.4786133,0.46646821,0.45985648,0.45895147,0.4602925,0.45674518,0.4398274,0.4063486,0.3606908,0.313015,0.27155933,0.2386942,0.2112736,0.18659465,0.16510208,0.15064882,0.14603262,0.1504272,0.1582848,0.16290663,0.16099273,0.15599833,0.1572631,0.17335355,0.20583959,0.2455623,0.2802191,0.30403697,0.3270626,0.3678346,0.43784174,0.5250843,0.6008164,0.6393562,0.6393474,0.61806816,0.5970121,0.5851436,0.58295506,0.5859203,0.59134555,0.59603715,0.5985563,0.5983176,0.5960315,0.5922864,0.58810097,0.58753806,0.597349,0.6221824,0.65672356,0.6842502,0.6883781,0.66521543,0.6286535,0.5956548,0.57637024,0.56899554,0.56974465,0.5756298,0.58495945,0.59412074,0.5992622,0.5989143,0.5944368,0.5890803,0.58734435,0.5958244,0.6198799,0.6571741,0.6896291,0.69105786,0.6432154,0.5569276,0.46594247,0.40659055,0.38990915,0.40125993,0.41556373,0.41821957,0.40900993,0.39489737,0.38144383,0.37076008,0.36410514,0.36274612,0.3676653,0.37899676,0.3963844,0.41822743,0.43983483,0.45622757,0.46764028,0.48521098,0.5216829,0.57753676,0.6293065,0.6456551,0.6100981,0.53871745,0.46422574,0.4124004,0.3854817,0.3714743,0.3604306,0.35297766,0.35636735,0.37366602,0.40000048,0.42370284,0.43669268,0.44080976,0.4513192,0.48440894,0.54303163,0.6023902,0.62355727,0.57838815,0.4790782,0.37082016,0.30232605,0.29090643,0.318669,0.35358095,0.37306997,0.3724155,0.35640308,0.33221853,0.30558765,0.2839485,0.2773372,0.29812863,0.35613903,0.44859967,0.55372477,0.6341705,0.6597174,0.6263109,0.559706,0.49316296,0.44648048,0.41919506,0.40240112,0.39018157,0.38298666,0.3832854,0.3920335,0.40725467,0.42501667,0.4416542,0.45849454,0.485041,0.5313069,0.59462506,0.6495173,0.6647051,0.6263361,0.5558062,0.48989198,0.4554207,0.44954124,0.4526011,0.44524348,0.42326376,0.39364222,0.3679978,0.35323358,0.35023308,0.355805,0.36981067,0.40007707,0.4548931,0.53228885,0.6079681,0.65213317,0.64697856,0.60694414,0.56131506,0.53679603,0.53723866,0.552995,0.56977344,0.58096683,0.5847953,0.58319014,0.5777003,0.5707456,0.5653999,0.5642056,0.568296,0.5752557,0.58262295,0.5879863,0.5923393,0.5978403,0.608,0.62599796,0.6513426,0.6784498,0.69474626,0.6905911,0.664,0.6255002,0.58778936,0.5592983,0.54039884,0.52821594,0.52166355,0.5206735,0.52457875,0.52720666,0.52010363,0.4946058,0.4490418,0.3889476,0.32807353,0.28165486,0.26067734,0.26372793,0.27883694,0.2912492,0.29511797,0.29584864,0.30233464,0.31795096,0.33654895,0.35004506,0.35195944,0.34325525,0.32681027,0.30796313,0.28786454,0.2689844,0.25802302,0.2720455,0.32626402,0.4182097,0.5182299,0.5883994,0.6082234,0.5891166,0.55768687,0.53574514,0.5279584,0.5300155,0.5356994,0.5419448,0.54790086,0.5541356,0.56212753,0.57248276,0.5852964,0.6003539,0.61841816,0.6411955,0.66778797,0.6933541,0.7066919,0.6998868,0.6720391,0.6350878,0.60070723,0.575368,0.5554845,0.53860384,0.5267911,0.52587736,0.53746253,0.556367,0.57442,0.58590245,0.5914244,0.59657305,0.61030406,0.6375501,0.67392826,0.70080495,0.69726866,0.65354484,0.5837613,0.5143942,0.46887434,0.45168066,0.45307502,0.45790982,0.4573137,0.44969913,0.4390565,0.42931333,0.42257944,0.4186453,0.41725114,0.41840398,0.4216855,0.42536673,0.42703876,0.42645085,0.42714533,0.43735316,0.4665353,0.51728624,0.5771566,0.61806434,0.6149272,0.5635411,0.4884418,0.41995975,0.37560868,0.34988728,0.3322666,0.3183198,0.31565914,0.33247384,0.36877015,0.41261825,0.4459313,0.45816675,0.45387483,0.45492515,0.47997865,0.52871305,0.5689516,0.5635986,0.49682733,0.39773515,0.31450573,0.28419444,0.30401945,0.3455076,0.37900963,0.39930835,0.424199,0.47255316,0.540492,0.59372693,0.59712976,0.54524267,0.48007658,0.45500088,0.49635342,0.57398397,0.631937,0.6267533,0.56332844,0.47954097,0.4171274,0.39098582,0.39064196,0.39697373,0.3998126,0.40086293,0.40537453,0.4147096,0.42381728,0.4265604,0.4220787,0.42162153,0.44390026,0.5008201,0.57875973,0.6403715,0.64931893,0.6007065,0.5259222,0.46519133,0.4373854,0.43127778,0.42678198,0.41367844,0.396718,0.38205525,0.3696352,0.35431328,0.3348484,0.31905374,0.32158682,0.3573203,0.42830566,0.5181057,0.5938146,0.6289609,0.61913574,0.5864086,0.5569441,0.5451665,0.5474902,0.5550749,0.5609765,0.56390566,0.56308347,0.55877894,0.5504431,0.540245,0.5304887,0.52441096,0.52272415,0.52400976,0.5255464,0.5246136,0.52189946,0.5207899,0.53026825,0.5580335,0.6051014,0.65615696,0.68621254,0.6752302,0.62409323,0.5536081,0.48838118,0.44289604,0.4176514,0.40783978,0.40903535,0.4189327,0.43297747,0.44068792,0.42915726,0.39107823,0.33376324,0.27434638,0.22886515,0.20160757,0.18705164,0.1774075,0.1694669,0.1665212,0.17647786,0.2054019,0.25119165,0.30101946,0.34032786,0.36070833,0.36358377,0.35221085,0.32833505,0.29178077,0.24747564,0.2079178,0.19426791,0.2276514,0.31425908,0.43237433,0.53894496,0.59829587,0.6055424,0.5856355,0.5662797,0.55971724,0.5616591,0.56557363,0.56873494,0.5717345,0.5745781,0.57661223,0.57843894,0.5817609,0.58902186,0.60178035,0.62114304,0.6459294,0.6706424,0.68488055,0.67981344,0.65579605,0.6246164,0.5996426,0.58640003,0.5803473,0.5759174,0.5726461,0.5744384,0.58293915,0.59528154,0.6065378,0.61419934,0.6177332,0.6184264,0.6189,0.6270525,0.6490224,0.68153256,0.7028704,0.68923575,0.6311737,0.546449,0.46209848,0.39782247,0.35501876,0.32699418,0.30823374,0.30015656,0.30798694,0.3346106,0.37580135,0.41981837,0.4546834,0.47469738,0.48330188,0.4878268,0.49402776,0.50251085,0.511065,0.51906055,0.5318031,0.55726886,0.59749955,0.64037275,0.664778,0.6558061,0.6171188,0.56764096,0.5262868,0.5008049,0.48758486,0.48034123,0.47635564,0.47738698,0.4852345,0.49771047,0.5080352,0.5090515,0.4992806,0.48719397,0.48891553,0.5154538,0.5589861,0.59016204,0.58043045,0.52423364,0.44564757,0.37358248,0.32220235,0.28565052,0.25542536,0.23002155,0.21617104,0.21928291,0.23855634,0.26539364,0.28896156,0.30439737,0.31989634,0.3551663,0.42415944,0.51991487,0.6079307,0.65175503,0.6344999,0.5747758,0.5045643,0.45087373,0.41930887,0.4040736,0.39603832,0.39158276,0.3906909,0.39488828,0.40294412,0.41019377,0.41195408,0.41076836,0.4200851,0.45509577,0.5165871,0.57988805,0.60982853,0.5866681,0.52597505,0.46467778,0.43315205,0.43434784,0.45028505,0.46223617,0.4632734,0.45769724,0.4514147,0.44741926,0.44441032,0.44003054,0.43508017,0.4377108,0.4601817,0.50725496,0.5645883,0.60463065,0.6066162,0.576108,0.5390527,0.52194,0.53177387,0.5594458,0.59007406,0.61542684,0.6319267,0.63940424,0.6375144,0.6282893,0.6151465,0.6018167,0.5904748,0.5818972,0.5771114,0.5768166,0.5799878,0.58405733,0.58757025,0.59559447,0.6148507,0.6475881,0.68016905,0.692499,0.6704752,0.6217074,0.5683616,0.5311367,0.5164969,0.51655453,0.5222824,0.52761537,0.5317746,0.5286396,0.5078745,0.45802245,0.380753,0.29341,0.22165167,0.18126386,0.16958486,0.17022377,0.16811483,0.1580262,0.14538334,0.13847315,0.14359236,0.16022079,0.18262626,0.20216356,0.21301897,0.21506213,0.21302731,0.21239321,0.21368676,0.2131235,0.20589261,0.19329618,0.18213062,0.18115085,0.19361997,0.21557598,0.23792093,0.2522954,0.25659278,0.25504044,0.25534534,0.26127437,0.27207744,0.2825776,0.2886828,0.2878264,0.28077713,0.26955178,0.25594833,0.23934533,0.21810885,0.19286817,0.16746537,0.14653774,0.13189685,0.1231027,0.11956131,0.12275746,0.13537067,0.15889856,0.19144957,0.22659343,0.25687242,0.27668786,0.2856438,0.28596154,0.2812924,0.27396294,0.26542386,0.25559756,0.24438465,0.23228382,0.22042124,0.20922895,0.19833647,0.18839467,0.18219453,0.18390584,0.19545746,0.21473975,0.23460513,0.24632782,0.24247147,0.22154015,0.18774177,0.14952995,0.11460406,0.08765179,0.06940932,0.058446806,0.052465986,0.04932848,0.047334686,0.045524582,0.043953355,0.043820936,0.047249805,0.056260396,0.07147296,0.09112817,0.11178929,0.12990004,0.1434418,0.15209341,0.15684539,0.15905277,0.16012758,0.1611513,0.16348834,0.16899616,0.17973208,0.1961859,0.2162466,0.23537116,0.24857736,0.2517188,0.2435041,0.22575821,0.20401393,0.18400681,0.16967362,0.16125078,0.15793604,0.15881163,0.16283883,0.16715576,0.16790895,0.16318114,0.15491112,0.14717714,0.14207488,0.13753499,0.12989351,0.11946008,0.11450005,0.12994586,0.17816125,0.25913063,0.3557141,0.4439859,0.5065977,0.5418994,0.5574593,0.561544,0.55723244,0.5455707,0.52793735,0.507626,0.48810852,0.47239426,0.46188864,0.45636383,0.4541044,0.45330605,0.45279312,0.45204845,0.44990325,0.44472507,0.4358592,0.42525795,0.41687608,0.4138845,0.41715613,0.42499316,0.43481633,0.4437196,0.44995013,0.45410797,0.4594549,0.46944427,0.48390427,0.49852428,0.50788957,0.509682,0.5047672,0.49410072,0.47713816,0.45276216,0.4227636,0.39076927,0.36150506,0.3374232,0.32022214,0.30992973,0.30650815,0.30858552,0.31406388,0.32016826,0.32404748,0.32446334,0.32131624,0.3164525,0.31147015,0.30809572,0.30711854,0.30900455,0.31388378,0.32133147,0.33070883,0.34106767,0.35172138,0.36246195,0.37320796,0.38485953,0.39794865,0.41293642,0.42843136,0.44283321,0.4549013,0.46419096,0.47082067,0.47397423,0.4739933,0.4709263,0.46677795,0.46236193,0.45862326,0.4547591,0.44975838,0.44302216,0.4343768,0.4256544,0.4182472,0.41482142,0.41549385,0.42025247,0.42673317,0.4331055,0.43719232,0.4376539,0.43476033,0.42953393,0.42484555,0.421231,0.41857827,0.41304827,0.40243688,0.38522935,0.36442718,0.34350765,0.32678172,0.31712553,0.3179988,0.3320584,0.35937452,0.39551786,0.43285048,0.4646628,0.48784706,0.50391406,0.51722914,0.5334367,0.5572617,0.5900101,0.62840277,0.6653948,0.69473535,0.7142264,0.72649413,0.7352405,0.74160475,0.7430574,0.73573685,0.71788865,0.69150764,0.66113454,0.6311929,0.6034525,0.5770612,0.54942197,0.5186369,0.4844915,0.44929048,0.41647694,0.38875726,0.3667604,0.34907258,0.3345659,0.3217036,0.30926636,0.29415384,0.27589574,0.2559847,0.23935525,0.22835375,0.22293793,0.22061837,0.22014807,0.22137474,0.22388935,0.22601879,0.22620195,0.22456224,0.22311078,0.22288997,0.22335882,0.22290747,0.22159044,0.22064056,0.22050948,0.21956211,0.21598925,0.21073921,0.20767336,0.20984411,0.21636546,0.22292602,0.2258545,0.22501366,0.22261976,0.22063458,0.2189629,0.21685849,0.21429117,0.21182422,0.20977002,0.20761661,0.20551427,0.20432515,0.20480119,0.20627187,0.20746368,0.20850323,0.21106736,0.21643758,0.22352247,0.2298755,0.2342905,0.23792845,0.24242209,0.24731988,0.25015888,0.24888296,0.24448521,0.23988616,0.23780482,0.2383755,0.24072571,0.24427049,0.25081444,0.26409268,0.28954,0.3299649,0.3819988,0.4342532,0.4744633,0.49669576,0.50460416,0.5053279,0.5034858,0.49950722,0.4927392,0.48404697,0.47548857,0.46858278,0.4631059,0.4569347,0.44742283,0.4329017,0.41466364,0.39610445,0.38067254,0.36904836,0.359706,0.35127592,0.344389,0.34092963,0.3417966,0.3463125,0.352774,0.35971949,0.366528,0.37356243,0.3822352,0.39356294,0.407629,0.42276454,0.4368504,0.4473038,0.45241955,0.4520352,0.44932356,0.44813928,0.4510236,0.45564398,0.45948145,0.46025205,0.46042225,0.461876,0.46813825,0.47897065,0.49351653,0.5073691,0.5174721,0.5223165,0.52303934,0.5219211,0.5199428,0.5181692,0.51575017,0.5128295,0.50887305,0.50509715,0.5031493,0.50459176,0.5109737,0.52198607,0.5380427,0.5566254,0.5763438,0.593476,0.6071871,0.6161237,0.6217631,0.62552196,0.6292439,0.63337386,0.6355298,0.6327812,0.621615,0.60220414,0.5761976,0.547394,0.5186354,0.49246776,0.47117043,0.4568757,0.45065525,0.45174682,0.45726037,0.4642857,0.46959376,0.47256958,0.4725794,0.47104266,0.46749726,0.46217266,0.45379424,0.44210544,0.4263332,0.40648746,0.38348874,0.36078787,0.34485647,0.3437135,0.36180425,0.39649847,0.43749976,0.47454396,0.5017896,0.5206227,0.5342853,0.54591006,0.55681723,0.5683208,0.5812815,0.59510905,0.6065703,0.6115257,0.6082244,0.60006875,0.5931383,0.5916142,0.5941026,0.59597796,0.5936058,0.58734304,0.57977253,0.5730085,0.5666211,0.5587531,0.54722786,0.5312326,0.511374,0.48968515,0.4686736,0.45038852,0.43606594,0.42575154,0.4185253,0.41206965,0.4028733,0.38726833,0.36312413,0.33276287,0.3016012,0.2762077,0.25876337,0.24836034,0.24222517,0.23924999,0.23827188,0.23714559,0.23339917,0.22633857,0.21790238,0.21028076,0.20444655,0.20016481,0.1976993,0.19767572,0.19979806,0.20240961,0.20385067,0.2043194,0.20485328,0.20572768,0.20545007,0.20304936,0.1998287,0.19853383,0.20047794,0.20384707,0.20603435,0.20671932,0.20830508,0.21283935,0.21876635,0.22234488,0.22129793,0.2177884,0.21590097,0.21790284,0.22210096,0.225744,0.22736554,0.22809716,0.22870326,0.22936751,0.2293231,0.22905062,0.22937383,0.23064041,0.23206504,0.23295312,0.2339501,0.23639643,0.24057163,0.24517845,0.24869592,0.25138524,0.25465915,0.25942215,0.2647592,0.2697318,0.2764146,0.29118744,0.32263032,0.3738372,0.4377233,0.49655786,0.5334026,0.54106325,0.5264969,0.50277716,0.48105255,0.46584108,0.45733872,0.45515034,0.4595835,0.47019598,0.48399433,0.49722385,0.50815636,0.51831514,0.529041,0.5390772,0.5451636,0.5455337,0.5409336,0.5326202,0.52114326,0.50652033,0.4904664,0.4750491,0.46257964,0.4534557,0.4478457,0.44443452,0.4416765,0.43710765,0.42947695,0.41870436,0.40548435,0.3902074,0.37368187,0.35979834,0.35433188,0.36207438,0.3807893,0.4031442,0.42026815,0.4289987,0.43151638,0.43263093,0.43449202,0.4360224,0.43515718,0.4320947,0.42874148,0.42720723,0.42712736,0.42731023,0.42569765,0.42164564,0.41488445,0.40615132,0.39632568,0.38567567,0.37406752,0.36017254,0.34407195,0.3266846,0.31135288,0.3010513,0.29845116,0.30380058,0.31577805,0.33116266,0.34767056,0.36441007,0.38286808,0.40366402,0.42586493,0.4459596,0.46044707,0.4677775,0.469234,0.46796343,0.4663473,0.46550074,0.4656377,0.46694735,0.47000635,0.47447518,0.4802588,0.48646915,0.49295828,0.49893942,0.503568,0.5059554,0.5051968,0.5018857,0.49638435,0.49079528,0.48594978,0.4832566,0.48130703,0.4781928,0.47056437,0.4567312,0.43637565,0.41173744,0.3864478,0.36494505,0.35046896,0.3442752,0.34522513,0.35062876,0.35733378,0.3626354,0.36548352,0.3660762,0.36536136,0.36365095,0.36091498,0.35780653,0.3554162,0.35431135,0.35223374,0.34563184,0.33149722,0.31058863,0.287172,0.26748577,0.2562486,0.25426963,0.258525,0.26560733,0.2749692,0.28914708,0.310474,0.33809018,0.36812946,0.39530602,0.41571096,0.42635843,0.42605725,0.4134055,0.38949558,0.35689318,0.3221527,0.29080343,0.26810232,0.25487295,0.25120285,0.25374344,0.25903174,0.2625208,0.26275036,0.26063025,0.25895035,0.25889918,0.2596,0.25957096,0.25891483,0.2592018,0.26143134,0.26492533,0.26869383,0.2725791,0.2772355,0.2818563,0.2849019,0.2854512,0.28546333,0.2883666,0.2966056,0.31002387,0.3257657,0.34088275,0.35304475,0.3620193,0.36722896,0.36826,0.36477634,0.35970405,0.35697567,0.35878965,0.36210176,0.36270186,0.35908708,0.35412657,0.35091186,0.3502352,0.35131064,0.35386944,0.3581706,0.363157,0.3660572,0.36419466,0.35724488,0.34711358,0.33590114,0.3237615,0.31031287,0.29643592,0.28568825,0.28105974,0.28275827,0.28832614,0.29689232,0.31257674,0.34127355,0.38483623,0.4351684,0.47900704,0.50465155,0.50947183,0.49780557,0.477049,0.45239246,0.42638576,0.39968315,0.37354693,0.35005987,0.33168015,0.31932703,0.3129398,0.31207085,0.31679738,0.32652608,0.33965087,0.35388207,0.36703053,0.37725386,0.3829378,0.3834842,0.37889054,0.36925387,0.3540759,0.33411407,0.312729,0.2954019,0.2872466,0.29086217,0.30599114,0.3295071,0.3564979,0.38109758,0.39869323,0.40691593,0.4082679,0.40851417,0.41479757,0.42901364,0.44825098,0.46658823,0.48041725,0.48900804,0.4925553,0.49241063,0.4893148,0.4858646,0.48284808,0.48111475,0.4796538,0.47778806,0.47508797,0.47115946,0.46714413,0.46336362,0.46164623,0.46158493,0.46391252,0.467654,0.4728279,0.47823718,0.48268858,0.48534462,0.48561513,0.48451126,0.48219737,0.47974822,0.47701105,0.47486266,0.47386658,0.4745997,0.477056,0.4799349,0.4825753,0.48373127,0.48428205,0.48443934,0.4859486,0.48869637,0.49281132,0.49685073,0.4999858,0.5018077,0.50242835,0.50298953,0.5034206,0.5043035,0.50391936,0.5020706,0.4980382,0.49389207,0.49112454,0.49043623,0.4904987,0.48946866,0.4874121,0.48424205,0.47816274,0.46283296,0.43145004,0.3816407,0.31891787,0.25479737,0.20054893,0.16303162,0.14199986,0.13272884,0.12849288,0.12481666,0.1202198,0.11614969,0.11412283,0.1146723,0.11648434,0.11814055,0.118642904,0.11835683,0.11772758,0.11721814,0.11691626,0.11748761,0.11967211,0.123512655,0.12779117,0.13110574,0.13345207,0.13610609,0.14001024,0.14423068,0.14683877,0.14693557,0.1456489,0.14453536,0.143269,0.13944775,0.1310121,0.11850067,0.10445222,0.09088787,0.078196,0.06661581,0.057978343,0.055126037,0.05959493,0.0698601,0.08213734,0.09212306,0.0971241,0.09629232,0.090625264,0.081813924,0.07178802,0.061970487,0.053224742,0.045797583,0.039579745,0.034310166,0.029750496,0.025823863,0.0225475,0.020236121,0.019779732,0.023233349,0.032826003,0.049426913,0.070310086,0.09081647,0.10655555,0.1171334,0.12422439,0.12975009,0.13238485,0.12997265,0.12188723,0.11230394,0.1079773,0.115454175,0.1361888,0.16643359,0.19715571,0.2196563,0.22692697,0.21709265,0.19082089,0.15342383,0.11279687,0.07830689,0.055305075,0.043586675,0.03900046,0.03737973,0.036652107,0.036254972,0.036010172,0.035434347,0.03409979,0.031952634,0.029368393,0.026798768,0.024576748,0.02280437,0.02146856,0.02037616,0.019322855,0.01804495,0.016462667,0.014630132,0.012870158,0.011462693,0.010484193,0.009690805,0.008806925,0.007785272,0.0068034697,0.0060509075,0.0055061844,0.0050275843,0.0044864896,0.003915489,0.0034033933,0.003028441,0.0027684404,0.0025703635,0.0023730753,0.0021611664,0.0019458683,0.001754892,0.0015976551,0.0014600125,0.0013184788,0.0011626862,0.00100071,0.0008488907,0.00072153175,0.00062304287,0.00054810464,0.00048247326,0.0004148076,0.00034073868,0.00026632872,0.00020012453,0.00014940348,0.00011612051,9.763556E-05,8.808254E-05,8.0664315E-05,7.078179E-05,5.798553E-05,4.605271E-05,4.0135506E-05]