[0.20442373,0.22021222,0.24987476,0.27553034,0.28355408,0.2734539,0.25614646,0.24504332,0.2441508,0.24761237,0.2443614,0.22902982,0.20490389,0.18215013,0.16912337,0.16469806,0.15914558,0.14284186,0.116826706,0.09194503,0.08042886,0.087911546,0.11208954,0.14678554,0.1836072,0.2156278,0.2376035,0.24757521,0.24415784,0.2273768,0.20014574,0.1691436,0.1414887,0.12075091,0.10805979,0.10484613,0.11417222,0.13576135,0.16423619,0.19011386,0.2067203,0.21266639,0.21139361,0.20627908,0.19721906,0.18269926,0.16447942,0.15293103,0.15994918,0.19063175,0.23402588,0.27286053,0.29271632,0.29316783,0.28094652,0.26580727,0.25244877,0.24296828,0.23565547,0.22891234,0.221054,0.21294445,0.2058497,0.20079881,0.19706714,0.19435962,0.19441687,0.20112668,0.21736465,0.24155718,0.2675924,0.28837144,0.30017054,0.30404338,0.3030524,0.29907927,0.2895304,0.27005634,0.23725553,0.19489133,0.1514802,0.11735881,0.09712335,0.089734785,0.089678496,0.09146453,0.09108591,0.0873245,0.08174994,0.07849984,0.081916325,0.09357368,0.110023886,0.124783754,0.13246757,0.13228045,0.12737621,0.12166413,0.11731749,0.11439204,0.11211968,0.10980493,0.10721635,0.104515485,0.10203362,0.10012123,0.098828554,0.09790152,0.09695422,0.095673524,0.09409032,0.0922891,0.090521306,0.08881283,0.08717995,0.08531339,0.08289918,0.07980961,0.07653131,0.07392442,0.07257214,0.07223565,0.07209042,0.07145726,0.07025987,0.06883117,0.067406006,0.066004924,0.06450976,0.06422952,0.0683394,0.08191321,0.10537673,0.13158993,0.14556025,0.1373686,0.10899746,0.07613572,0.056024984,0.05901171,0.08306945,0.11701238,0.14636254,0.1615056,0.16125564,0.15046842,0.13387711,0.11339632,0.08987805,0.065624796,0.044286937,0.02871518,0.020517109,0.02112507,0.032454133,0.05500567,0.084964246,0.11515504,0.13968493,0.15926623,0.17976798,0.20501499,0.2312421,0.24926871,0.25473163,0.2520649,0.25139627,0.25723162,0.26649192,0.27177787,0.26978242,0.26083642,0.24614853,0.22499287,0.19841771,0.172589,0.1565591,0.15701194,0.17322153,0.20010911,0.22961652,0.254531,0.26695332,0.2624421,0.241539,0.21275274,0.18889661,0.18130684,0.19309658,0.21633011,0.2372361,0.24440019,0.23709573,0.22277446,0.21072012,0.20370845,0.198671,0.19012167,0.17578737,0.15821745,0.14440586,0.14182895,0.15368497,0.1759429,0.19970046,0.21685131,0.22507621,0.22782858,0.2306115,0.23596369,0.24191593,0.24375005,0.23900504,0.2288583,0.21693951,0.20383036,0.18769051,0.16635445,0.14320563,0.12532783,0.12071367,0.13170223,0.15443487,0.179254,0.19656444,0.20009173,0.19028087,0.17226486,0.15332489,0.13841228,0.12842315,0.12112868,0.1147492,0.11050028,0.11157768,0.11916282,0.13005233,0.13769025,0.13776134,0.13098493,0.12323018,0.11952216,0.12225335,0.13018413,0.14250247,0.15607493,0.16712065,0.17117344,0.17068946,0.17176205,0.18032674,0.19485158,0.21046947,0.22324906,0.233563,0.2430331,0.25155714,0.25545156,0.24993277,0.23325367,0.2109787,0.19353835,0.19006585,0.2015276,0.22103167,0.23869276,0.24752724,0.2468573,0.24089986,0.23640664,0.23743068,0.24527235,0.25888914,0.27745926,0.2985599,0.31673208,0.3255594,0.321896,0.30874118,0.2916698,0.2748511,0.25868335,0.24187,0.22340834,0.20373414,0.18417723,0.16710041,0.15567328,0.15412264,0.16484527,0.18618453,0.21059816,0.2292562,0.2368717,0.23478015,0.22742738,0.21827872,0.20825331,0.1983376,0.19090569,0.1889245,0.19023275,0.18779431,0.17182346,0.14063507,0.10062784,0.06406441,0.038388025,0.025645474,0.02350497,0.028635615,0.03725548,0.046505243,0.058813896,0.08076855,0.117305875,0.16309156,0.20481308,0.230874,0.2405274,0.24117796,0.24030994,0.23986854,0.23908979,0.2372448,0.23515856,0.23262013,0.22941047,0.22532229,0.22160248,0.21920371,0.21843426,0.2185015,0.21801071,0.21545374,0.20923923,0.19863325,0.1838725,0.16684578,0.15008901,0.1358754,0.12471804,0.1152913,0.105479985,0.0940808,0.08169711,0.07011124,0.060869146,0.054399554,0.05006068,0.04698776,0.044488076,0.042306807,0.040307585,0.039331067,0.04177055,0.051971644,0.07186209,0.09701619,0.115397565,0.11594381,0.09706364,0.070006005,0.051398877,0.054142952,0.08044311,0.122146666,0.16478378,0.19628644,0.21132044,0.21187378,0.20144999,0.18219738,0.1549937,0.12181702,0.087288655,0.05686304,0.03523133,0.023691477,0.020283295,0.020825408,0.021232098,0.019922374,0.0190164,0.024682702,0.0446135,0.08244598,0.13322003,0.18309003,0.2182972,0.23266937,0.23099875,0.22230451,0.21402536,0.20875655,0.20593809,0.20388715,0.2009608,0.1964755,0.1906095,0.18444811,0.17889726,0.17442416,0.17077011,0.16809636,0.16770689,0.17270148,0.18549378,0.2054212,0.22675514,0.24260454,0.2491324,0.24827652,0.24331774,0.23360418,0.21383588,0.1796397,0.13448538,0.088527985,0.052966785,0.03328866,0.030112015,0.041830707,0.066466875,0.099551916,0.13382384,0.16250628,0.18503338,0.20696382,0.23458461,0.2666578,0.29455602,0.30815122,0.30405137,0.2872677,0.26753065,0.25323293,0.24712873,0.24632879,0.24630177,0.24517268,0.24454147,0.24564326,0.2475547,0.24807936,0.24809891,0.25022638,0.2565906,0.26466224,0.27063277,0.27179655,0.26953587,0.26642123,0.26452532,0.26383194,0.26275808,0.25931227,0.2526038,0.24520402,0.24141218,0.2447232,0.2524142,0.25710607,0.24912699,0.2245508,0.18716507,0.14945999,0.12506048,0.12284187,0.14159901,0.17249332,0.20445693,0.22973703,0.24613552,0.25421014,0.25569046,0.2523699,0.24771444,0.2448048,0.24375509,0.24082796,0.23162414,0.2149808,0.19373834,0.17276026,0.15530019,0.14163174,0.13003834,0.12123421,0.11865419,0.12526622,0.13746797,0.14758499,0.15036367,0.14969526,0.15428352,0.17070176,0.19771957,0.2296766,0.26007622,0.28424188,0.29821393,0.29925475,0.2867987,0.26323923,0.23310512,0.20183474,0.1742758,0.15343958,0.13961919,0.13117176,0.12593958,0.12258058,0.12071768,0.12037025,0.12113828,0.122001745,0.12210361,0.12177474,0.12253844,0.12535624,0.12941502,0.1322521,0.13303822,0.13362868,0.13826193,0.14716755,0.15500729,0.15152417,0.13172919,0.09927104,0.066548176,0.045541465,0.043829944,0.062245596,0.0963377,0.1365722,0.17099304,0.19076054,0.19608718,0.19637649,0.20389442,0.22395773,0.2516161,0.27444983,0.28172588,0.2702714,0.2468993,0.22441043,0.21470787,0.22191988,0.24044399,0.2596373,0.27111956,0.2727923,0.2676222,0.25986615,0.25291827,0.24917102,0.25019133,0.25613323,0.26461673,0.271001,0.269582,0.25639987,0.23148775,0.20037986,0.17161298,0.15274696,0.14618887,0.1498275,0.15906751,0.16975099,0.17828287,0.18238993,0.18149076,0.17754556,0.17395131,0.17351387,0.17701472,0.18375804,0.19365044,0.20671387,0.22187753,0.23455693,0.24014528,0.23604946,0.22542743,0.21358807,0.20664193,0.20630826,0.21054734,0.2139759,0.21320595,0.20870525,0.20347379,0.19977586,0.19725235,0.1958917,0.19641294,0.20030187,0.20658405,0.21256472,0.21516307,0.212882,0.205657,0.193833,0.17777483,0.15850489,0.13993825,0.12958996,0.13527131,0.1582995,0.18995464,0.21662658,0.22932768,0.22898658,0.22270338,0.21739052,0.21582173,0.21759526,0.22022085,0.22133924,0.21960439,0.21650125,0.21487345,0.21724992,0.22331561,0.23060088,0.23663871,0.24149375,0.24773441,0.25722507,0.26873684,0.27775806,0.28081024,0.2778643,0.2723987,0.2673436,0.26195058,0.25275904,0.23665643,0.21528421,0.19299912,0.17472245,0.16186522,0.15406834,0.15012287,0.14958467,0.15181029,0.15659596,0.1645476,0.17813563,0.1985621,0.22424583,0.24857686,0.26519158,0.2698952,0.26381445,0.24985157,0.23324423,0.22026737,0.21748728,0.22704051,0.24419163,0.2601703,0.26828423,0.267985,0.2628955,0.25714734,0.25310877,0.25224176,0.2556375,0.26315725,0.27208415,0.27697682,0.27240542,0.25564548,0.2296213,0.20160496,0.18109323,0.1748073,0.18433417,0.20505495,0.22872244,0.24705835,0.2543261,0.24822152,0.22847474,0.19734852,0.1595047,0.12237111,0.09372312,0.07949749,0.08199095,0.09667609,0.113318555,0.1182707,0.10581861,0.0806295,0.057371635,0.049048733,0.06134513,0.089559935,0.122456826,0.14837699,0.1604438,0.15944119,0.15154053,0.14486952,0.14433552,0.14812993,0.14820586,0.13753444,0.117752045,0.09969496,0.0952307,0.10889497,0.13649929,0.16892093,0.19719858,0.21560015,0.22381596,0.22651957,0.22996993,0.2380655,0.25001624,0.26199248,0.26927388,0.26912305,0.26131442,0.24847393,0.23430686,0.22206034,0.21259427,0.20471911,0.1969322,0.18960355,0.18511589,0.18583214,0.1914921,0.19893987,0.20395635,0.20524226,0.20421225,0.203867,0.20395172,0.20272559,0.19845106,0.19318105,0.19023609,0.19062869,0.19194794,0.18995327,0.18365067,0.173633,0.16143106,0.14628536,0.1281682,0.10838839,0.08951182,0.07284015,0.058377985,0.047508717,0.045425404,0.0596211,0.09353688,0.14132534,0.18895932,0.22330455,0.23946142,0.24217153,0.2387293,0.2342488,0.2293114,0.22346978,0.2162224,0.20862375,0.20137669,0.19545294,0.1909614,0.18879707,0.1890462,0.19220923,0.19753166,0.20546071,0.21548146,0.22694604,0.23668547,0.24188484,0.24089539,0.23464854,0.2245483,0.2111566,0.19481687,0.17755876,0.16382688,0.1576195,0.15923502,0.164766,0.16932924,0.1706429,0.16964102,0.16833793,0.16788201,0.16814487,0.16940187,0.17134888,0.17175184,0.16477318,0.14624436,0.11925289,0.09653827,0.09252384,0.11412331,0.15501344,0.20094635,0.23736732,0.25758487,0.26201555,0.25535876,0.24127622,0.22226472,0.20037293,0.17862792,0.16019692,0.14716576,0.13990906,0.13746531,0.13824482,0.14063255,0.1431415,0.14501023,0.1471442,0.15287285,0.16745597,0.19330315,0.22706194,0.2579842,0.27640548,0.27842522,0.26957777,0.2575939,0.2481106,0.24169405,0.23628634,0.2301419,0.22271396,0.21526855,0.20875716,0.20367779,0.19912557,0.1941135,0.18811609,0.18210216,0.17857994,0.1811376,0.19171901,0.20877601,0.22631896,0.2384549,0.24237181,0.24009989,0.23380692,0.22219975,0.2007057,0.1663148,0.12306639,0.08005134,0.04660067,0.025772361,0.015357892,0.010643446,0.00838736,0.007205052,0.00857254,0.017098712,0.040785704,0.08413967,0.14309947,0.2015944,0.2432974,0.25984678,0.2572551,0.24616916,0.23561144,0.22785355,0.22223644,0.21734925,0.21261257,0.20773341,0.20233808,0.19608796,0.18890744,0.18125279,0.17417443,0.16884863,0.16635878,0.16690595,0.1697681,0.17278595,0.17334963,0.16932411,0.1608131,0.15104766,0.14638808,0.15431435,0.17835744,0.21430413,0.24974012,0.27138352,0.2721349,0.25569162,0.23282541,0.21472003,0.20597172,0.20349987,0.2021997,0.20109905,0.20438987,0.21454407,0.2290538,0.24181624,0.25024295,0.25534132,0.25975493,0.26431462,0.2692777,0.27520558,0.28126875,0.28426898,0.27852955,0.2612601,0.23534095,0.21109231,0.20010424,0.20832254,0.23104715,0.25637534,0.27418724,0.28261042,0.28803566,0.2967458,0.30850145,0.31609273,0.31382218,0.30477688,0.30000743,0.30931726,0.33292624,0.36166748,0.38390806,0.39270803,0.38715586,0.3711815,0.35048786,0.33228728,0.32227862,0.32324266,0.33228388,0.34310973,0.34898928,0.3474307,0.34054545,0.33304083,0.3271887,0.3216787,0.31304452,0.30062383,0.28716004,0.2771332,0.27234504,0.27158353,0.2721288,0.27257866,0.2732325,0.27448645,0.27557012,0.27406803,0.26884046,0.26071462,0.25308242,0.2477069,0.2445562,0.24111682,0.23659809,0.23164338,0.22893357,0.2300844,0.23526096,0.24293403,0.25079864,0.25686422,0.25919083,0.2575026,0.25264674,0.24726956,0.24297304,0.24010436,0.23707803,0.2329603,0.22783357,0.22315891,0.22004505,0.21885611,0.21895446,0.21931882,0.21893035,0.21709652,0.21391588,0.21024673,0.20770164,0.20803954,0.21283625,0.22313178,0.2390459,0.259384,0.2814333,0.3015362,0.31734824,0.32830903,0.33640906,0.3420731,0.34502682,0.3429619,0.33635625,0.3266541,0.31656644,0.3064318,0.2960131,0.28595325,0.27939558,0.27943787,0.2855724,0.29388556,0.29990375,0.30312344,0.30475608,0.3065633,0.30749893,0.30700234,0.30442455,0.30096984,0.29750505,0.29518557,0.2936292,0.2917997,0.28841558,0.28365263,0.27825722,0.27172723,0.26211825,0.24790783,0.23214729,0.22100596,0.22118317,0.23324323,0.25306475,0.27398047,0.2936828,0.31394255,0.33813426,0.36523744,0.3887289,0.40062943,0.3974973,0.3828694,0.3640422,0.34726086,0.33510664,0.32689247,0.32113144,0.3169656,0.31446838,0.31305268,0.31131443,0.30808747,0.3040118,0.30101123,0.30043355,0.30189255,0.30340493,0.30249694,0.29692313,0.28580877,0.27041242,0.25450224,0.24291901,0.239425,0.24332781,0.24939232,0.24957211,0.23975135,0.22133303,0.20108986,0.18460168,0.17480426,0.17105079,0.17172231,0.17444937,0.17783754,0.18275775,0.1935261,0.21327339,0.24057786,0.26638186,0.28237164,0.2845408,0.27793908,0.26865852,0.26207963,0.2585987,0.25767037,0.25719166,0.25607362,0.25279015,0.24758524,0.24058074,0.23327057,0.22564404,0.2182856,0.21038407,0.20243682,0.19436644,0.18728238,0.18150593,0.17774147,0.17587453,0.17595577,0.17733091,0.17926626,0.18075275,0.18117349,0.18003796,0.17690684,0.1717367,0.16555955,0.16101424,0.16165416,0.17078918,0.18984596,0.21681714,0.24673127,0.2738094,0.29553854,0.31163463,0.32226345,0.32486606,0.31896076,0.308046,0.29943025,0.29726198,0.3002791,0.30395088,0.30482092,0.3025684,0.2983113,0.2936077,0.28850695,0.2826415,0.27526608,0.26709512,0.25842103,0.24884485,0.23677917,0.22350699,0.21425687,0.21600986,0.23058653,0.2517469,0.26956502,0.27869678,0.28291532,0.29075614,0.30816507,0.33327305,0.35853612,0.37577477,0.3816725,0.3783644,0.37225243,0.3695681,0.3742765,0.38554028,0.3990459,0.40921068,0.4124128,0.40863487,0.40012547,0.3897749,0.37937394,0.37018457,0.36322847,0.35890663,0.3559403,0.35201395,0.34592572,0.33950984,0.3360455,0.33763453,0.34361196,0.3512502,0.35720086,0.35726473,0.34853435,0.33052373,0.30745372,0.2852781,0.26932177,0.26242924,0.26576528,0.2793841,0.30046105,0.32291627,0.33916613,0.3448116,0.34160653,0.33535385,0.33135626,0.33010307,0.3279959,0.32109693,0.30885538,0.29577133,0.28789616,0.2887359,0.29509488,0.29960537,0.2957237,0.28268468,0.2644909,0.24587063,0.22919083,0.21486722,0.2033311,0.19596195,0.1947848,0.20191991,0.21808954,0.24154134,0.26701248,0.28857362,0.30225945,0.30843213,0.3095632,0.30772436,0.30299926,0.29418072,0.2812726,0.26666418,0.25637332,0.25637063,0.26904818,0.28973457,0.31048548,0.32531062,0.33388948,0.3388065,0.34170082,0.34126058,0.33570886,0.3245413,0.30948135,0.29267475,0.2774229,0.26786402,0.268387,0.27917477,0.2946926,0.30611515,0.3076101,0.29951504,0.28609613,0.2709984,0.25442174,0.2347889,0.21186727,0.18918127,0.17326516,0.17020173,0.18151027,0.20254195,0.22492547,0.2422597,0.25378418,0.26490268,0.2817622,0.3065542,0.33377743,0.35488987,0.36351863,0.36092314,0.35253754,0.34394422,0.33735523,0.33287176,0.33040306,0.32923102,0.32854876,0.32688344,0.32393548,0.3202386,0.31679657,0.31450805,0.31353197,0.3139553,0.31592068,0.319268,0.32340017,0.3260995,0.32607672,0.32334003,0.32073322,0.3207185,0.32295454,0.32316184,0.31611636,0.30024335,0.27967802,0.26132682,0.2510698,0.24999845,0.25649306,0.26652142,0.2773867,0.28712463,0.29661992,0.30765924,0.3219342,0.33842346,0.3530203,0.36057773,0.35768685,0.34527516,0.3281524,0.3132242,0.30534264,0.30410382,0.30375263,0.29826972,0.286716,0.2738522,0.26555142,0.26501083,0.27248946,0.28597212,0.30079496,0.30972087,0.30677554,0.2907244,0.2659853,0.23940887,0.21749051,0.20446138,0.20178984,0.20847483,0.22196394,0.2391764,0.25629234,0.26941183,0.2754371,0.2742245,0.26846072,0.26283276,0.26192245,0.26779664,0.27899364,0.2906973,0.29930797,0.30428943,0.30782938,0.31015465,0.308685,0.3010584,0.28897485,0.27806035,0.2736992,0.2778034,0.2881221,0.29975888,0.30660653,0.3029426,0.28648016,0.26063564,0.2343177,0.21516739,0.2041421,0.19470479,0.18131535,0.16526003,0.15330912,0.14993243,0.15384509,0.16223724,0.17474099,0.19262195,0.21416044,0.23586716,0.25670108,0.27890778,0.30367753,0.32599914,0.33941445,0.3399845,0.33149448,0.3193201,0.30903003,0.30158356,0.29671618,0.29255176,0.2888879,0.28549996,0.28239384,0.2784312,0.27321157,0.2674286,0.26304725,0.26240358,0.26782188,0.28126967,0.30109143,0.32162514,0.33387974,0.33409277,0.32514104,0.31716242,0.31703869,0.32592794,0.33676648,0.342325,0.33880576,0.3285443,0.31623676,0.30642125,0.30239707,0.30611655,0.31606022,0.3256435,0.32593563,0.31282344,0.29198924,0.27482256,0.26913977,0.2716864,0.27274123,0.2644186,0.24833743,0.23267157,0.22702079,0.23569457,0.25585124,0.2783554,0.29325423,0.29578665,0.28858832,0.2784132,0.27031422,0.26458564,0.2575024,0.24490422,0.22607933,0.20617008,0.19502544,0.20193072,0.22853936,0.26630798,0.30122006,0.32300174,0.32923052,0.32219788,0.30380955,0.27551886,0.24258049,0.21409734,0.19945501,0.20181079,0.2183904,0.24123828,0.26269543,0.27668026,0.2830093,0.2852831,0.288982,0.29488602,0.2986381,0.29310894,0.27551386,0.2503117,0.22759758,0.21706893,0.22196668,0.23783861,0.25496423,0.2649955,0.26481354,0.25693116,0.2469789,0.23857315,0.23275529,0.22572573,0.21453546,0.19763757,0.17816204,0.16093637,0.15262014,0.16058367,0.18816948,0.23073836,0.2743044,0.307159,0.32744768,0.34406182,0.36409047,0.3854784,0.39924023,0.39896286,0.38595685,0.3661389,0.34493172,0.32468426,0.30614063,0.28978208,0.27591538,0.26440957,0.25498894,0.24825722,0.24513902,0.24559559,0.24745618,0.24762118,0.24456187,0.23969589,0.2362029,0.23611476,0.23883615,0.24204534,0.24461102,0.24796891,0.25542644,0.26754442,0.28032604,0.28583387,0.27949536,0.2628719,0.24342382,0.22831023,0.22201979,0.22553974,0.23685765,0.251057,0.26213786,0.26743928,0.26917592,0.2723639,0.27889994,0.2865703,0.29080358,0.29057178,0.2879196,0.28700095,0.2883055,0.28963152,0.28616974,0.27603456,0.26060396,0.24574743,0.23796867,0.2421196,0.25751367,0.27798876,0.2947431,0.30215427,0.30045137,0.29387465,0.2864119,0.2799789,0.27519783,0.27224663,0.2707282,0.26902103,0.265897,0.26077983,0.25475547,0.24771361,0.23949821,0.22921021,0.21916783,0.21332027,0.21739388,0.23299472,0.25713417,0.28140262,0.29932517,0.3090496,0.31476888,0.31989574,0.32403386,0.3230584,0.3148347,0.302194,0.29078338,0.2846718,0.28321317,0.28346348,0.28148547,0.27465698,0.26044717,0.23934202,0.21491705,0.19510984,0.18663281,0.19204903,0.20650406,0.22290672,0.23572385,0.24469782,0.25141275,0.2564614,0.2570739,0.2488944,0.22845662,0.19792624,0.16724879,0.15316361,0.16793837,0.21096753,0.26514432,0.3105041,0.33545557,0.3428835,0.34184647,0.33931565,0.33687782,0.33348322,0.3291109,0.32544717,0.32394406,0.3250083,0.32714954,0.3289312,0.32950988,0.3292353,0.32951435,0.33120036,0.33529043,0.34166446,0.34988356,0.3578758,0.36322054,0.3650061,0.36504722,0.36593834,0.36852226,0.37110528,0.37270322,0.3729118,0.3716383,0.36667612,0.35682455,0.34325084,0.32956472,0.31856266,0.31069833,0.30461276,0.29910716,0.2947709,0.29440156,0.3004845,0.31203368,0.32390985,0.33008122,0.32849836,0.32066402,0.31000635,0.29798314,0.28642842,0.27779362,0.27543736,0.27998695,0.28788146,0.29389477,0.29505968,0.29363692,0.29500934,0.30246267,0.3143325,0.32367578,0.32561585,0.3194643,0.3106413,0.30387414,0.30128992,0.3010693,0.30117297,0.3015701,0.30388212,0.30920878,0.3154159,0.3181455,0.3137343,0.30261186,0.28948933,0.28034866,0.27817965,0.2815378,0.28630593,0.2902584,0.2940962,0.29901323,0.30230832,0.29730058,0.2791374,0.24964792,0.21829174,0.19519739,0.18543464,0.18593948,0.18909536,0.18807548,0.18015613,0.16658777,0.14944026,0.13048412,0.111136295,0.09324303,0.07877845,0.07005692,0.07151693,0.08947816,0.12814407,0.18308544,0.2406619,0.28502378,0.30819204,0.31378046,0.31340513,0.31899774,0.33681083,0.36467457,0.39391884,0.4152213,0.4238927,0.42241016,0.4161413,0.41021082,0.40538117,0.40095064,0.39537776,0.38935962,0.3841169,0.3806919,0.37879398,0.37695405,0.37398335,0.3696253,0.36482945,0.3615202,0.36048582,0.3619646,0.363351,0.3625939,0.35819086,0.35277852,0.35079733,0.35547188,0.36550507,0.37472227,0.37767395,0.3724959,0.36310136,0.35399234,0.3479683,0.3439367,0.33999053,0.33409074,0.3249797,0.31127402,0.29361084,0.27622554,0.26575637,0.26637372,0.2756094,0.28667805,0.29405475,0.2978833,0.30179584,0.30826703,0.31574634,0.32043695,0.31983912,0.3148956,0.3084691,0.3031805,0.29916534,0.29529658,0.28984213,0.28231755,0.27305153,0.26345444,0.25503197,0.24882507,0.24457385,0.24117576,0.23747085,0.23329139,0.22903799,0.22516812,0.22167762,0.21840622,0.21548484,0.21315001,0.21186878,0.21206276,0.2141863,0.21789128,0.22190349,0.22452217,0.22547735,0.22660093,0.23119766,0.240595,0.25186658,0.2583653,0.25482598,0.24196438,0.22601128,0.21422577,0.20991881,0.21230303,0.2176301,0.22183669,0.22152406,0.21569133,0.20565389,0.19407886,0.18301147,0.1731991,0.16459678,0.15728521,0.15182368,0.14912406,0.150167,0.15540065,0.16394494,0.17345273,0.18288068,0.19635005,0.22540359,0.28167462,0.36623254,0.46264604,0.5453866,0.59515804,0.60713536,0.58891076,0.54950064,0.49765632,0.439459,0.38273537,0.333411,0.29587272,0.27071482,0.25631192,0.25017008,0.24989522,0.25406536,0.2605356,0.26678416,0.26967946,0.26848876,0.26470518,0.26172456,0.26131472,0.26389936,0.2692782,0.27928743,0.29555967,0.31651,0.33545113,0.34459448,0.3406905,0.32631072,0.30731726,0.28798747,0.27119547,0.2579124,0.24833624,0.23950832,0.227333,0.20981027,0.19168152,0.18215895,0.1878602,0.20673673,0.22958024,0.24696946,0.2537916,0.24902745,0.23395365,0.21187961,0.18832369,0.16857298,0.1554039,0.14872907,0.1481201,0.15424885,0.16750093,0.18598928,0.20483471,0.21918952,0.22613169,0.22582696,0.2187625,0.20500682,0.18361531,0.15657763,0.13304615,0.13230413,0.17781162,0.27940723,0.42047516,0.5584739,0.6531095,0.6851277,0.6659112,0.6159025,0.5541905,0.48788953,0.42236635,0.36228064,0.31635424,0.2911867,0.2892619,0.30444685,0.3245707,0.33587694,0.33061612,0.30991587,0.2813107,0.2523898,0.22626168,0.20247029,0.18036395,0.16224563,0.15157594,0.15075104,0.15906002,0.17521115,0.19746329,0.2240531,0.24979778,0.26947832,0.28173602,0.29603556,0.32787338,0.3876916,0.46804938,0.54499286,0.5946248,0.6088091,0.6020066,0.5953817,0.60521466,0.6282871,0.6518027,0.65834975,0.64110297,0.60272664,0.55370927,0.50410837,0.45865047,0.41795883,0.37996438,0.3445281,0.31343842,0.2907667,0.27980506,0.2805895,0.28947207,0.30123225,0.31156632,0.31784472,0.3190465,0.3155843,0.30911556,0.30162373,0.29605424,0.29633114,0.3068398,0.3267672,0.3485333,0.36021146,0.35628974,0.34055611,0.32260808,0.3073379,0.29392925,0.27967727,0.26520863,0.25094602,0.23449565,0.21207696,0.18651028,0.1674332,0.16488962,0.1789512,0.20017707,0.2164502,0.22159266,0.21603148,0.20322151,0.18659794,0.16915922,0.15466183,0.14608099,0.14451881,0.14848235,0.15592353,0.16555582,0.17690982,0.18946326,0.20283957,0.2192414,0.24565978,0.29188326,0.36250886,0.449209,0.5305926,0.58489126,0.60359925,0.5998699,0.59762627,0.616175,0.6530946,0.68897533,0.7008068,0.6800676,0.6334904,0.5735095,0.5091146,0.44377658,0.38219833,0.33070573,0.2975614,0.28765652,0.2997959,0.32435948,0.34454677,0.34613284,0.3254744,0.29395795,0.2682874,0.26101062,0.27289656,0.2963506,0.31999794,0.3361191,0.34199238,0.34096083,0.3376784,0.33632064,0.33776763,0.3412067,0.344957,0.34946957,0.35818693,0.3777723,0.41221824,0.459143,0.5063397,0.5407974,0.55558133,0.5584251,0.5637905,0.58315086,0.61177903,0.6320223,0.6252253,0.58806497,0.53628546,0.49315882,0.4731923,0.47197565,0.4743407,0.46658537,0.44681254,0.4213041,0.39729825,0.378304,0.3634169,0.35179973,0.34241128,0.3365482,0.33457866,0.33636948,0.3401579,0.3436401,0.345907,0.34688616,0.3487185,0.3529111,0.35849258,0.35869154,0.34239617,0.30231145,0.2414375,0.17455633,0.11769402,0.07983561,0.059399083,0.049828697,0.04502282,0.04205736,0.04156031,0.046917994,0.06305327,0.09178587,0.12875384,0.163608,0.18809457,0.20139362,0.21062182,0.22167213,0.23410587,0.24174434,0.24054591,0.23259306,0.2231627,0.21548785,0.20779741,0.19828337,0.18745966,0.17976145,0.17691356,0.17677118,0.17349112,0.1651535,0.15548186,0.1521015,0.15944158,0.17734182,0.20483212,0.2466249,0.3122423,0.40662584,0.52094126,0.63198453,0.7155273,0.75720674,0.75829965,0.72635835,0.67047673,0.5979189,0.5211337,0.45492092,0.41201794,0.39277866,0.38830975,0.38380298,0.36813322,0.33611873,0.29390553,0.25464717,0.23070128,0.22338895,0.22326015,0.21929651,0.20767714,0.1934948,0.18370666,0.18153892,0.18401146,0.18677539,0.18711519,0.1863218,0.18590581,0.18799804,0.19574519,0.21878074,0.2684498,0.3490996,0.44555345,0.5270498,0.565866,0.55807143,0.5310328,0.520755,0.5499293,0.6042588,0.65095526,0.6563086,0.61850685,0.5594712,0.5102889,0.48301473,0.47048774,0.4587244,0.4418309,0.4228538,0.40670314,0.39584365,0.39033833,0.38889202,0.38886666,0.38801208,0.38555005,0.3832351,0.38223282,0.38248813,0.38210824,0.3795615,0.37542883,0.37179402,0.37176362,0.37298867,0.36757287,0.34332642,0.29689428,0.23835544,0.18763185,0.15911108,0.15324694,0.1600207,0.16903599,0.17546527,0.17826104,0.17761837,0.17546308,0.17621411,0.18401189,0.19737673,0.209464,0.21324015,0.20748608,0.1964496,0.18612474,0.18152177,0.18546684,0.19855767,0.21756051,0.2368321,0.2503458,0.25496015,0.25126934,0.24199164,0.23087288,0.22117458,0.21900268,0.23361577,0.27660337,0.3517244,0.44704,0.5343725,0.585489,0.5914669,0.57269335,0.56383276,0.58903784,0.640842,0.689107,0.7037875,0.67770845,0.62441134,0.56199104,0.5017783,0.44755948,0.40433124,0.37665543,0.36706233,0.3713832,0.38165617,0.38886392,0.38613567,0.37233403,0.35150418,0.33106926,0.31544423,0.30687737,0.30488265,0.30933854,0.31627047,0.32152113,0.32185948,0.32056174,0.32175514,0.328156,0.33686712,0.3443148,0.34727582,0.34732983,0.35079536,0.36932898,0.41185603,0.4744911,0.5368385,0.572427,0.56999946,0.54460526,0.52984375,0.55157524,0.6070626,0.6673002,0.6990402,0.68862677,0.64394194,0.58308756,0.5197001,0.46114656,0.4111897,0.37290195,0.34739998,0.3330337,0.32649425,0.32478133,0.32610735,0.3294184,0.33354175,0.33699808,0.338632,0.33800566,0.33551013,0.3308194,0.32310846,0.31180438,0.30002436,0.2942152,0.29998404,0.31449828,0.3255755,0.31974557,0.29409584,0.25869015,0.22839916,0.21167926,0.2076505,0.21019097,0.21377999,0.21574135,0.21650302,0.2187568,0.22617018,0.23981816,0.25619802,0.26831973,0.2721908,0.27044776,0.27106258,0.28027114,0.2985324,0.32106093,0.3416743,0.3560435,0.36248562,0.36193013,0.35598612,0.3460215,0.33361027,0.32115802,0.31160003,0.30404028,0.29476854,0.27996275,0.26263896,0.25023136,0.24980487,0.26247278,0.28700686,0.32408217,0.3772209,0.444906,0.51669097,0.5749373,0.6068635,0.6097128,0.59130365,0.560541,0.52303004,0.478821,0.42746696,0.37139165,0.31863973,0.2803401,0.26609302,0.27627018,0.2997783,0.31845602,0.31994203,0.30411223,0.28125775,0.26252434,0.25471866,0.25917327,0.27188063,0.28454623,0.28853282,0.28134513,0.2690886,0.2614313,0.26398182,0.27425745,0.28523704,0.29223016,0.2973901,0.30970505,0.33869186,0.38676462,0.44300768,0.48638472,0.49968985,0.48340023,0.4609599,0.4599525,0.49337745,0.54530305,0.58872205,0.6030633,0.58869296,0.555893,0.5141247,0.46650562,0.41445312,0.36209273,0.3149962,0.27796593,0.25269216,0.23790552,0.22947352,0.22221227,0.212659,0.20141263,0.19227807,0.18922412,0.19319403,0.20163058,0.21023731,0.21572082,0.21889375,0.22476338,0.24074554,0.2679141,0.29763582,0.31272528,0.30255017,0.27045092,0.23314922,0.20642649,0.19737463,0.20348512,0.21825095,0.23418002,0.24534345,0.24910593,0.24812353,0.24786031,0.25426492,0.26967382,0.2930453,0.31869975,0.33973804,0.3502512,0.34971198,0.3420782,0.33358726,0.32847917,0.3277824,0.3296114,0.33137503,0.33133563,0.3296068,0.32714796,0.32465282,0.32204235,0.32101443,0.32725248,0.34943786,0.39186895,0.4472947,0.49615487,0.51887816,0.5100718,0.4881837,0.48171926,0.5102501,0.56420636,0.61608034,0.6396621,0.6302357,0.59894174,0.55803394,0.5127202,0.4632523,0.41410637,0.3726579,0.34682116,0.33931577,0.34634063,0.35795936,0.36121318,0.34828198,0.3210268,0.29058376,0.2684575,0.26039615,0.26396805,0.27259257,0.2789291,0.27930725,0.27431825,0.26840547,0.26703325,0.27424195,0.29123598,0.3143594,0.33678102,0.3519696,0.3604597,0.371756,0.39722362,0.43889344,0.48152187,0.5036381,0.49465355,0.4694334,0.4574419,0.48055398,0.5348011,0.5950771,0.6356666,0.64551276,0.6292443,0.59556,0.54994565,0.49581543,0.43833455,0.38625214,0.34593847,0.31984386,0.30525312,0.29885384,0.29733166,0.29827955,0.29948124,0.2995586,0.29830626,0.29639778,0.2948713,0.294081,0.29426908,0.29533938,0.29905438,0.30772796,0.3232405,0.3422213,0.35731915,0.36094737,0.35252205,0.33790424,0.325341,0.31899193,0.31881782,0.32207,0.32627788,0.32997254,0.3328662,0.33564946,0.3387688,0.34240818,0.3458656,0.3485649,0.34995985,0.34988084,0.3483486,0.34530354,0.3405266,0.33366683,0.32475784,0.31519994,0.30705723,0.30215117,0.29972145,0.29712066,0.29194954,0.28423873,0.27675664,0.2716031,0.26921478,0.2676549,0.26561347,0.2631902,0.26177454,0.26336703,0.27166173,0.29567942,0.34815523,0.43627962,0.5488908,0.65748096,0.73288274,0.7635996,0.7549155,0.7148444,0.6467223,0.5557438,0.4574032,0.371267,0.31222776,0.28445247,0.28568542,0.30552506,0.32761088,0.3336248,0.31694236,0.28577256,0.2577431,0.24571557,0.25138327,0.26674902,0.28116122,0.2877302,0.2857773,0.27950606,0.27476224,0.27453366,0.27773026,0.27820244,0.269654,0.24960715,0.226357,0.21750802,0.242819,0.3070226,0.39218736,0.46307778,0.49330464,0.48263922,0.46200824,0.46662268,0.51390105,0.58612293,0.6502492,0.6786559,0.66901,0.6344282,0.58916944,0.53839934,0.48281872,0.4265479,0.37734017,0.34145585,0.31963253,0.30860737,0.30545586,0.30787432,0.31398305,0.3204389,0.32469213,0.32685378,0.3304328,0.34014168,0.35661414,0.37565783,0.39028788,0.39713693,0.39837894,0.3977407,0.39647523,0.39059284,0.37781778,0.35919464,0.34109512,0.32831195,0.32305166,0.3237598,0.32874715,0.33612978,0.3444873,0.35119846,0.3540239,0.35151586,0.3449714,0.337252,0.33131662,0.32822084,0.3264415,0.32388365,0.31950542,0.31522956,0.313803,0.316878,0.32292426,0.32862154,0.33111027,0.32955965,0.32509032,0.31906995,0.31237543,0.30574766,0.30245337,0.31067583,0.34172556,0.40173826,0.48114094,0.5534285,0.59047383,0.58461094,0.55885154,0.54954237,0.57803804,0.6332151,0.683829,0.70396286,0.6877966,0.64615375,0.5895815,0.5248892,0.4536625,0.38248327,0.3196328,0.2761816,0.25847518,0.2656499,0.2858868,0.30021736,0.2934968,0.26400444,0.22483303,0.19313802,0.17988138,0.18551952,0.20332146,0.22411509,0.24021824,0.24822462,0.24932699,0.24732916,0.24515784,0.24346113,0.24135244,0.23837434,0.23648806,0.24186401,0.2646577,0.3129255,0.3822988,0.45116767,0.48934373,0.47799054,0.42170838,0.34636077,0.28065005,0.2424256,0.2315101,0.23690747,0.24486117,0.2473095,0.24293195,0.23471904,0.22615384,0.21866013,0.21238208,0.20678104,0.20202573,0.19778048,0.19343142,0.18832774,0.18319578,0.17943722,0.17762454,0.17695166,0.17652094,0.1767887,0.17894752,0.18318115,0.18830085,0.19265825,0.1962046,0.19965486,0.20347351,0.20646381,0.20735244,0.20635092,0.20471449,0.20356618,0.20273916,0.20234008,0.20254113,0.20323952,0.203382,0.20262939,0.20268683,0.20651682,0.21520567,0.22624002,0.23452188,0.23621635,0.23060691,0.22010863,0.20796454,0.19725658,0.19004153,0.18694039,0.18668795,0.18673873,0.18503435,0.18127906,0.17726268,0.17547202,0.17756993,0.18314238,0.19024877,0.19679607,0.20218213,0.2069828,0.21205413,0.2172094,0.22175224,0.22456305,0.22459848,0.22018467,0.21058059,0.19652219,0.18139666,0.168269,0.15920576,0.15365702,0.15063167,0.14783601,0.142662,0.13217358,0.1163865,0.09981238,0.09088754,0.096883155,0.11769309,0.1443627,0.16372325,0.16823852,0.15967025,0.14681566,0.13712233,0.13318492,0.13294576,0.13333164,0.13190658,0.12736027,0.118897416,0.10622924,0.089687385,0.07099875,0.053036097,0.038951024,0.030419245,0.027058966,0.026855262,0.027476327,0.02717921,0.025232166,0.021850929,0.018092284,0.01567301,0.017121991,0.02538009,0.043462515,0.07236665,0.109936826,0.14969361,0.18402983,0.20725638,0.21891981,0.2219045,0.2200677,0.21540748,0.20813708,0.1971398,0.18173091,0.16352098,0.14700386,0.13693829,0.13443768,0.1359799,0.13695721,0.13599998,0.13585384,0.13987203,0.14856154,0.15864684,0.16653015,0.17119478,0.17590688,0.1835764,0.19342554,0.19885004,0.19413841,0.17885368,0.1595339,0.14286466,0.13123403,0.12146459,0.10908469,0.09167083,0.0709796,0.052159626,0.042086583,0.0456461,0.06269854,0.086980075,0.10957614,0.12411642,0.12984024,0.13006641,0.12829578,0.12594084,0.122751206,0.11833564,0.11293858,0.10711828,0.10139673,0.096005656,0.09106892,0.08659408,0.082517825,0.07860989,0.07485363,0.07226951,0.07380283,0.08362196,0.10425117,0.13355684,0.16457409,0.18963243,0.20452857,0.2101868,0.20977344,0.20647754,0.20167084,0.1955388,0.18620951,0.17184375,0.15299961,0.13573757,0.12778594,0.1326378,0.1456209,0.1587947,0.16792077,0.17469402,0.18216103,0.19001506,0.19556467,0.19812979,0.20039314,0.20516038,0.21100812,0.21331155,0.20907561,0.20122375,0.19676071,0.20008136,0.20867474,0.2149099,0.21354228,0.2053281,0.19609053,0.19091,0.19214344,0.19907266,0.21055184,0.22489405,0.24009746,0.25328857,0.26277646,0.26926854,0.2766521,0.28844535,0.30585825,0.32471716,0.33944976,0.34450915,0.34005,0.32947218,0.31876096,0.31088945,0.3061409,0.30261818,0.29923657,0.2961717,0.2941436,0.29354617,0.2942029,0.29574087,0.29755723,0.29867303,0.29828465,0.29652312,0.2950108,0.29557228,0.29877886,0.30328992,0.3073455,0.31036344,0.31306747,0.31553674,0.31544316,0.3085059,0.29108265,0.26294276,0.22765096,0.19179843,0.16320997,0.14979278,0.1561234,0.18038797,0.21335034,0.2434891,0.26362547,0.27430034,0.28053626,0.28638336,0.2922585,0.29587272,0.29512182,0.28993097,0.28338265,0.28073606,0.28643465,0.30058298,0.3178061,0.33054206,0.3336273,0.32690236,0.3140134,0.2995335,0.2866039,0.2757654,0.26476195,0.2506732,0.23281299,0.2154864,0.20517825,0.20575307,0.21410614,0.22256011,0.22443555,0.21854478,0.20882946,0.20066442,0.19809501,0.20215583,0.21156107,0.22297205,0.2336127,0.24207596,0.24922375,0.25613156,0.26362404,0.27188683,0.28045192,0.28763005,0.28999466,0.284904,0.27257827,0.25742698,0.24491584,0.23844092,0.23795086,0.24116611,0.24584562,0.24976128,0.25132743,0.24868463,0.24086402,0.22739802,0.20943932,0.18960851,0.17143275,0.15782338,0.14971137,0.1471331,0.15061812,0.16256593,0.18462193,0.21437149,0.24402426,0.26488394,0.27368867,0.27443478,0.27420953,0.2770276,0.282048,0.28540483,0.28275537,0.27158198,0.25338867,0.23592162,0.22938234,0.23940541,0.26068822,0.28034285,0.28611386,0.27366018,0.24659972,0.21275377,0.18013678,0.15436476,0.1378101,0.12999068,0.1296739,0.13581972,0.14729075,0.16131204,0.17394842,0.18229754,0.18653734,0.18904752,0.19018084,0.18581517,0.16933163,0.13852815,0.09916595,0.062076554,0.035586726,0.021198586,0.015244867,0.01318452,0.012491022,0.013191217,0.018074835,0.03224245,0.060635477,0.10306281,0.15160675,0.19308655,0.216792,0.21917309,0.20376648,0.17686076,0.14503123,0.11457095,0.09096795,0.07836532,0.07873114,0.092752814,0.11966177,0.15727925,0.20153563,0.2474267,0.29022908,0.32643822,0.3535637,0.36998367,0.375883,0.3743514,0.37083825,0.3700777,0.37345633,0.37799904,0.37890193,0.37211135,0.3582352,0.34176782,0.32984588,0.3256893,0.32785237,0.32993937,0.3279269,0.32198787,0.3162881,0.31231675,0.3067156,0.29495373,0.2789031,0.26915988,0.2776911,0.30635464,0.34444737,0.37590834,0.39281893,0.39551255,0.38918373,0.37506816,0.35583505,0.33702552,0.32920858,0.33857933,0.36309728,0.39178655,0.41268694,0.41875434,0.41124764,0.39651033,0.38139343,0.36829683,0.35509858,0.33767733,0.31382644,0.28543472,0.2611213,0.25798306,0.296218,0.38353,0.50099844,0.6089001,0.67219,0.6826641,0.6564348,0.61441,0.5678665,0.5206192,0.47664717,0.44164658,0.41893935,0.40665677,0.40058473,0.39677718,0.39372805,0.39074993,0.38768426,0.38389647,0.37905705,0.37383118,0.36956796,0.36732602,0.36623552,0.36497903,0.3638705,0.36597344,0.37378684,0.38439062,0.38945317,0.38089857,0.3588871,0.33140078,0.30817354,0.29318452,0.28476408,0.27953342,0.27607682,0.27574334,0.280931,0.29424474,0.3160559,0.34426045,0.37357724,0.39836416,0.41433156,0.4199517,0.41536763,0.40170607,0.3821638,0.36218393,0.34789073,0.3415235,0.3408606,0.34136918,0.3406814,0.33897296,0.33747008,0.33652735,0.3354546,0.333311,0.3292944,0.32388058,0.31916413,0.3182374,0.32226285,0.32911918,0.33655977,0.34784877,0.3739104,0.42395496,0.4959278,0.5709184,0.6269966,0.64927554,0.63861895,0.6019518,0.5486291,0.4868941,0.42716601,0.37974206,0.35028604,0.33806562,0.33765173,0.3415041,0.34031296,0.32426983,0.28993317,0.24422975,0.20297621,0.180571,0.18369354,0.20903368,0.24748172,0.28752112,0.320765,0.3435762,0.3578179,0.36639833,0.3717682,0.37376258,0.37209043,0.36732793,0.36403766,0.3695022,0.3903997,0.42612088,0.46640325,0.49493584,0.50107497,0.48794213,0.47542426,0.48484254,0.5264091,0.5854626,0.6372938,0.6590502,0.648839,0.615882,0.5751167,0.533314,0.49379644,0.45614782,0.42148903,0.39067087,0.36525428,0.34641376,0.33442125,0.32807907,0.324934,0.32257107,0.3195746,0.31557724,0.3112491,0.30720618,0.30406037,0.30133745,0.2993128,0.29937863,0.30526033,0.3181206,0.3336672,0.34131,0.3331068,0.3101587,0.28297022,0.2621599,0.25172475,0.24889368,0.24925126,0.2503109,0.25171217,0.25423905,0.25888142,0.26631153,0.27577117,0.28467777,0.28915355,0.2858728,0.27436444,0.2581807,0.24443257,0.240315,0.2492793,0.26870206,0.29157114,0.3108356,0.32259157,0.3269175,0.3255653,0.3204051,0.31282327,0.3047116,0.3000826,0.3049218,0.32594955,0.3647152,0.41365698,0.45532274,0.47279313,0.4623821,0.4414024,0.4375683,0.46920678,0.5292187,0.59189683,0.6314447,0.6396628,0.62381625,0.5970908,0.5673234,0.537318,0.50708133,0.47874293,0.4550406,0.43845773,0.42838654,0.4227102,0.41828182,0.41259804,0.40429065,0.39429057,0.3857813,0.3820058,0.38369927,0.38804582,0.39047727,0.3871306,0.3763155,0.35931256,0.34031117,0.3250251,0.31677973,0.31386578,0.3108014,0.30472982,0.30027604,0.30893183,0.34025076,0.39163408,0.44551578,0.4788042,0.48117313,0.46451595,0.45732176,0.48082337,0.5328954,0.5860661,0.6112764,0.59539324,0.5513076,0.5009627,0.46375492,0.4421848,0.43006125,0.4173155,0.40301004,0.39129665,0.3883264,0.39374676,0.40294123,0.41008094,0.41179895,0.4074805,0.39828622,0.38690996,0.3766912,0.37044546,0.36915934,0.3714731,0.37533775,0.37995338,0.38645685,0.3956279,0.40520212,0.41047072,0.40850058,0.40105268,0.39309278,0.3873956,0.3830659,0.37704566,0.3681942,0.3562529,0.34128365,0.32286564,0.30388632,0.29017377,0.28859553,0.3006703,0.32145655,0.34042597,0.3484044,0.3416979,0.32500216,0.3067615,0.29402205,0.28771818,0.28459093,0.28091988,0.2755866,0.26992634,0.2662469,0.26745713,0.27579322,0.29118666,0.30960974,0.32467818,0.3323448,0.33312663,0.33137205,0.33017144,0.33241174,0.3432956,0.3748047,0.43585554,0.5228142,0.6129101,0.68056035,0.7105417,0.70399255,0.6664316,0.6021529,0.51740974,0.4253012,0.34328997,0.28435782,0.2541009,0.25174758,0.26913717,0.29076374,0.29636595,0.27580705,0.23441158,0.19086392,0.16056657,0.14837189,0.14842619,0.15242541,0.15406047,0.15104415,0.14505285,0.14194793,0.148373,0.16678508,0.19013904,0.20535998,0.20245731,0.18595336,0.17641896,0.1987874,0.2640758,0.35680997,0.44270387,0.49083543,0.49536803,0.48052457,0.4799385,0.5143922,0.5724719,0.62549514,0.64469534,0.62729,0.5897483,0.55615,0.53530794,0.5222524,0.5058504,0.48392382,0.4610659,0.44408488,0.43375996,0.4275492,0.42161116,0.41445374,0.40694475,0.40096775,0.3977355,0.395622,0.39184108,0.3846338,0.3749355,0.3658849,0.36001238,0.3596096,0.36464867,0.3741813,0.38421884,0.39122668,0.39260492,0.38892427,0.3816974,0.37334415,0.366268,0.36242214,0.3611431,0.35891116,0.35203204,0.34075293,0.3296852,0.3240085,0.3245416,0.32769036,0.32872546,0.3262199,0.32207158,0.32028636,0.3238341,0.3334315,0.34669915,0.35922918,0.36686313,0.36644652,0.35716274,0.33975658,0.31802914,0.29723802,0.28284052,0.2790334,0.28951582,0.31858316,0.36552668,0.42018247,0.46090904,0.47112337,0.45245376,0.4314964,0.43776724,0.48358718,0.5521113,0.614383,0.6478154,0.6485513,0.624662,0.5870456,0.5429143,0.4967799,0.4520972,0.41250142,0.38178754,0.36330095,0.35709238,0.35713163,0.35229853,0.3332001,0.29915664,0.25839344,0.22303782,0.20264296,0.20215063,0.21937011,0.24577527,0.2694122,0.28199852,0.28263095,0.27562153,0.26660767,0.2591395,0.25598395,0.25731364,0.26267526,0.27156958,0.28846094,0.319561,0.36602342,0.41663897,0.45274445,0.46358025,0.45727256,0.45793524,0.48536763,0.53976876,0.5992386,0.6384232,0.64410645,0.62175804,0.5842021,0.5433016,0.5048153,0.47242665,0.44778168,0.43162003,0.42250323,0.4186695,0.41828358,0.41993454,0.4220873,0.42321515,0.42235878,0.4192549,0.41443586,0.40877938,0.40363905,0.4002423,0.39877987,0.39831924,0.39797235,0.39812508,0.39827845,0.39518508,0.38375792,0.36305323,0.33847347,0.3185071,0.30760917,0.30442724,0.3045878,0.3047351,0.30329183,0.30028722,0.29689544,0.29545704,0.29732656,0.30154252,0.30455086,0.30323455,0.2970363,0.28888613,0.28318384,0.2837645,0.2912378,0.30272186,0.31274447,0.3172786,0.31547764,0.31003258,0.3039956,0.29942158,0.2962661,0.29354605,0.28982544,0.28508914,0.28069222,0.2790316,0.2809142,0.28523692,0.28953525,0.2945828,0.30727896,0.3421377,0.4103702,0.50984526,0.6158555,0.69673127,0.72824574,0.7096903,0.6540581,0.58028644,0.50287247,0.4334058,0.37930918,0.34356806,0.32478833,0.31958356,0.3216376,0.32037425,0.30164704,0.25868407,0.19884725,0.14259435,0.10953941,0.10833236,0.13363482,0.17167795,0.20665838,0.22767822,0.23329283,0.23223357,0.2366593,0.253935,0.2815612,0.31150767,0.33651575,0.35587355,0.37437785,0.39907226,0.4330949,0.47169986,0.5027845,0.5151724,0.5083191,0.49723956,0.5017516,0.5336042,0.5833497,0.63137084,0.6573011,0.6569223,0.63385516,0.59878844,0.5580871,0.51889783,0.48490024,0.4587792,0.43885386,0.42204502,0.40594065,0.3911337,0.37990654,0.37383178,0.3717079,0.37038365,0.3664935,0.3587861,0.34832022,0.33738092,0.3275969,0.31997064,0.31600738,0.31873128,0.32907283,0.34265086,0.349156,0.3407019,0.3183049,0.29239985,0.27354917,0.26530206,0.26396886,0.26430884,0.26380756,0.26261592,0.2623569,0.2652749,0.27414182,0.28988644,0.30968493,0.3271772,0.3363255,0.33502468,0.32534435,0.31159434,0.2971573,0.28354013,0.26977283,0.25484702,0.239663,0.22835441,0.22513314,0.23165928,0.24473393,0.25946522,0.27111545,0.27982214,0.29034618,0.3114442,0.34815714,0.3958753,0.43907478,0.46083057,0.4565455,0.4414626,0.44266525,0.4802401,0.54976696,0.62565917,0.677151,0.6896618,0.6662376,0.621816,0.57010156,0.52128285,0.47989693,0.4479548,0.42523667,0.41170987,0.40606043,0.40452883,0.39946672,0.38238156,0.34868884,0.30225453,0.25584432,0.2257288,0.22200073,0.24126856,0.26855007,0.28864872,0.2956735,0.2939044,0.29010642,0.28774616,0.28644252,0.28495502,0.2835776,0.2851745,0.29538426,0.32078362,0.36364892,0.41685614,0.46382737,0.48724875,0.48160326,0.460006,0.44896257,0.46945286,0.5212483,0.5791876,0.6130247,0.6064355,0.56812435,0.51950645,0.4809364,0.45924675,0.44995138,0.44386837,0.43609285,0.42760488,0.421442,0.41840705,0.41581774,0.41128218,0.40398479,0.39657998,0.39228487,0.39428607,0.40286222,0.41591606,0.42870548,0.4368744,0.43817648,0.4349639,0.4312829,0.42966947,0.42742836,0.41976508,0.40449378,0.38517532,0.3677555,0.35531113,0.3461833,0.33672795,0.32527372,0.3124548,0.3001063,0.28967476,0.28367713,0.28484616,0.29490247,0.31076607,0.32568184,0.3318686,0.32670268,0.31398693,0.30252707,0.2986376,0.30165514,0.30377382,0.2974201,0.28209707,0.26539078,0.257909,0.26553008,0.28650686,0.3121463,0.33289686,0.3429041,0.34160426,0.33097193,0.31291246,0.29064086,0.27042845,0.26297012,0.2800592,0.33227158,0.42026034,0.5308445,0.63543487,0.70672673,0.7305915,0.71197796,0.66311145,0.5964574,0.5236968,0.4573818,0.40819213,0.37888977,0.36592647,0.36348355,0.3666203,0.3698127,0.3669426,0.3556576,0.33931562,0.32423258,0.31395057,0.3077956,0.30400732,0.30073142,0.29533872,0.2822291,0.25772563,0.22447264,0.1940137,0.1781929,0.18115325,0.19528778,0.21006197,0.2215675,0.23730361,0.26917782,0.32246304,0.38857746,0.44835737,0.4848899,0.4952244,0.49420044,0.5022209,0.53171736,0.57501084,0.6128363,0.6257086,0.61107504,0.5804231,0.5511553,0.53055984,0.5158162,0.49986377,0.48208258,0.46620783,0.45659265,0.45242333,0.4510907,0.44906667,0.44476178,0.43746364,0.42840663,0.42009214,0.41523805,0.4153172,0.4193056,0.42434868,0.42721382,0.42658284,0.42348775,0.41948715,0.41436496,0.40638897,0.39508736,0.38336754,0.3756192,0.37448788,0.37900868,0.3862734,0.39350152,0.3992648,0.40356484,0.40720892,0.4107913,0.4134622,0.41308996,0.40797126,0.39865652,0.38829198,0.38056085,0.37744573,0.37810656,0.38032642,0.38238993,0.38398066,0.38546243,0.38702655,0.38875353,0.39066347,0.39271545,0.39439344,0.39550456,0.39614615,0.39741027,0.40119717,0.41144753,0.43090215,0.45708987,0.47919592,0.4863571,0.47838274,0.47108397,0.484272,0.5257711,0.58330375,0.63450575,0.66206646,0.6623435,0.6410966,0.60583013,0.5625377,0.51701653,0.47576997,0.44356695,0.42213595,0.41009745,0.40445054,0.40011838,0.39175597,0.3761159,0.35526192,0.33436957,0.3189727,0.31145942,0.31121692,0.31442523,0.3153982,0.30938467,0.29554686,0.2777593,0.26122823,0.248649,0.23836748,0.22535111,0.20498185,0.17809169,0.15589857,0.15823914,0.20158936,0.28322682,0.3758407,0.44129622,0.45462012,0.41767457,0.35613182,0.30048117,0.27124813,0.268744,0.27999398,0.28825727,0.28667644,0.27801552,0.26978692,0.2643613,0.2588632,0.24811791,0.23115426,0.2108088,0.19305688,0.18316108,0.1848868,0.19707452,0.21428828,0.22939938,0.23966365,0.24735487,0.25566864,0.26304767,0.2633359,0.2512258,0.22756207,0.20015335,0.17867233,0.16896193,0.16985793,0.17540061,0.17893809,0.17626716,0.16698553,0.15469314,0.1462596,0.14814012,0.16185617,0.18261862,0.2032694,0.21958275,0.23197295,0.24244565,0.25166488,0.2580012,0.26002952,0.257648,0.25293058,0.24835928,0.24596725,0.24582283,0.246354,0.24508882,0.24081303,0.23469973,0.22997993,0.22905785,0.23132002,0.23288083,0.22994892,0.22146468,0.21024634,0.20018898,0.1934908,0.18815726,0.17948043,0.16350122,0.14096572,0.11742148,0.09984235,0.09290779,0.09776456,0.11242067,0.13228594,0.15086733,0.16284104,0.1666425,0.16499513,0.16172154,0.15955848,0.15957148,0.16228412,0.1676599,0.17547071,0.18490101,0.19487004,0.20321059,0.20776547,0.20783602,0.20550293,0.20498364,0.20972162,0.2203358,0.23321211,0.24286391,0.24483418,0.2381895,0.22542815,0.21001536,0.19508173,0.18193625,0.1714455,0.16399877,0.16051668,0.16086651,0.16340947,0.16492103,0.16285026,0.15699296,0.15002899,0.14657743,0.15181525,0.1686873,0.19527912,0.22349028,0.24407375,0.2520078,0.25095406,0.24786894,0.24794154,0.24947149,0.24848218,0.24212076,0.23209584,0.2213155,0.21172523,0.202792,0.19294725,0.18074721,0.16561523,0.14883162,0.13416955,0.1271453,0.1316574,0.14652993,0.16615748,0.18376763,0.19636466,0.20398206,0.20946991,0.21415287,0.21811093,0.2177456,0.20967287,0.1926462,0.17123817,0.15323097,0.14634906,0.15359646,0.1718267,0.19249989,0.20591576,0.20650916,0.19684698,0.18576021,0.1822033,0.18841214,0.1995241,0.20855987,0.21213639,0.21176024,0.2109605,0.21279393,0.21844387,0.22703308,0.23552154,0.23971516,0.2371964,0.2287925,0.21837161,0.20936173,0.20309722,0.19828252,0.19274215,0.18429025,0.17192172,0.15679218,0.14245483,0.13314521,0.13052292,0.13275552,0.13636266,0.1401647,0.14550118,0.1539743,0.16377039,0.17084606,0.17178063,0.16704936,0.15951566,0.1519738,0.14461984,0.13589998,0.1249882,0.115009375,0.113832034,0.12900363,0.16101702,0.19905321,0.22819488,0.23844637,0.23174538,0.21734835,0.20542216,0.20094137,0.20326771,0.20795453,0.20993155,0.20623581,0.19728042,0.18657954,0.17931306,0.17953818,0.18790095,0.20069666,0.2127235,0.22046429,0.22409038,0.22573341,0.22700186,0.22673018,0.22149575,0.20888971,0.19286455,0.18565232,0.20109217,0.24283707,0.2976271,0.34355962,0.36448932,0.3598106,0.33998796,0.31781384,0.3007401,0.28995985,0.28187284,0.2721465,0.25909725,0.24523307,0.23511656,0.23168446,0.2340356,0.23810267,0.24002564,0.2384844,0.23529811,0.23270637,0.23148482,0.22987263,0.22572136,0.21821795,0.20874356,0.19855809,0.18611757,0.16735773,0.13925867,0.104572035,0.07056966,0.044840064,0.029718244,0.0229638,0.020340187,0.019086368,0.01824286,0.019545117,0.027580062,0.049726292,0.08963698,0.14262952,0.19337149,0.22707371,0.23752843,0.23195903,0.22171341,0.21511173,0.21314858,0.2130261,0.2119172,0.20885052,0.20457399,0.20011014,0.19627123,0.19311179,0.19030182,0.18726921,0.183733,0.17995633,0.17661737,0.17438157,0.17325704,0.17274983,0.17208464,0.17088322,0.16907631,0.16694127,0.16481441,0.16307835,0.16198343,0.16144747,0.16116385,0.16074039,0.160093,0.15919815,0.15812461,0.15680313,0.15552215,0.15515888,0.15694554,0.1611136,0.1644087,0.16069718,0.14398006,0.11478808,0.080999725,0.054942176,0.0463125,0.057793546,0.084064685,0.11395681,0.13683765,0.14700824,0.14609946,0.13802852,0.12554045,0.10834294,0.08675573,0.063258894,0.042430203,0.027927285,0.021202357,0.021213174,0.025268076,0.029736752,0.03136747,0.029834941,0.029272184,0.03780778,0.06194271,0.100922026,0.14414583,0.17789419,0.19434302,0.19645995,0.19341551,0.19308619,0.19827318,0.20779997,0.2186592,0.22715454,0.23034222,0.22887874,0.22763014,0.232961,0.24768317,0.2689542,0.29046956,0.3054112,0.31045613,0.30599907,0.29774204,0.29150704,0.29088083,0.29376438,0.29703936,0.29916063,0.30232817,0.30949965,0.32250074,0.34009793,0.3582035,0.36967143,0.36679363,0.3454024,0.3102722,0.27546474,0.25726318,0.26372516,0.28905138,0.31864268,0.33855578,0.34310517,0.3347664,0.32141027,0.31149492,0.31077847,0.31884193,0.33002913,0.33672497,0.33388722,0.31990138,0.29611516,0.2663579,0.2377036,0.21937752,0.21838063,0.23498344,0.26076913,0.28351417,0.29268965,0.28422233,0.25972277,0.22505991,0.18840854,0.15764834,0.13788338,0.12987055,0.13302992,0.14723164,0.17262508,0.20575704,0.23924966,0.26494947,0.27876863,0.28180924,0.27788696,0.27049184,0.26124322,0.2502722,0.23713867,0.2220148,0.20643054,0.19204544,0.17888589,0.16428119,0.14571531,0.123921596,0.104595125,0.09542326,0.10232577,0.12565231,0.16000794,0.19593126,0.22403456,0.23791325,0.23600422,0.22134064,0.19996084,0.17757107,0.15616901,0.13433088,0.111510724,0.09242541,0.085600406,0.096826375,0.123482585,0.15547943,0.18216784,0.19985856,0.21422671,0.23640777,0.27370653,0.32327095,0.37154818,0.40490326,0.4182452,0.41865972,0.4161811,0.4165701,0.41800842,0.41693202,0.41179338,0.4046392,0.39802524,0.39380667,0.39193335,0.39166728,0.39144227,0.3902481,0.38750756,0.3840289,0.38156605,0.38292506,0.3897477,0.40101233,0.4123262,0.41909757,0.41895255,0.4125719,0.40206885,0.3896954,0.37754694,0.36651918,0.35638574,0.34610853,0.33564952,0.32580963,0.31725833,0.3096162,0.30210182,0.29461837,0.28776678,0.2822878,0.2785128,0.2767506,0.27695093,0.2786888,0.28060713,0.28164718,0.28106907,0.27919686,0.27606392,0.2719364,0.26647213,0.26010934,0.25344247,0.24838637,0.24693157,0.25152478,0.26277712,0.27919814,0.29598498,0.30776182,0.31034315,0.30310607,0.28846633,0.27098557,0.25591406,0.24675667,0.2442702,0.24559863,0.24721955,0.24659444,0.24373455,0.23982857,0.23585425,0.2323737,0.22977413,0.22947697,0.23302518,0.24130197,0.25288868,0.264475,0.2727017,0.27602944,0.27465436,0.26742846,0.25116354,0.2224838,0.18377514,0.14378674,0.115288965,0.10689814,0.11974746,0.14560685,0.1728758,0.19097877,0.19660498,0.1919486,0.18369265,0.17748064,0.17757611,0.18412898,0.19490154,0.20543891,0.2121225,0.21296865,0.20800062,0.19795819,0.18326326,0.164697,0.14612503,0.13757773,0.15333812,0.20216016,0.27766418,0.3574394,0.41806045,0.44860473,0.45586488,0.45258644,0.44828972,0.4443171,0.43909335,0.43127206,0.42201212,0.4139174,0.40993616,0.41208717,0.419529,0.42911875,0.43603075,0.43745926,0.43311355,0.42567706,0.41773716,0.4105618,0.40342227,0.39530757,0.38624337,0.37770355,0.37137473,0.36797538,0.36660275,0.36553505,0.36282587,0.35728702,0.34860685,0.33815384,0.32842126,0.3221666,0.32019565,0.3206989,0.3207082,0.31875178,0.31679317,0.31798565,0.3241146,0.33272886,0.33932522,0.33940193,0.33182132,0.31815532,0.30243942,0.28848338,0.27926478,0.27514353,0.2748452,0.27618346,0.278023,0.28047493,0.28404686,0.28860283,0.29286852,0.29528144,0.2946373,0.29088163,0.2852241,0.27974197,0.27638945,0.27575198,0.27690303,0.27769148,0.27590695,0.26953086,0.25784716,0.24160789,0.22355865,0.20689046,0.19461624,0.18831785,0.18898936,0.19595176,0.20739102,0.21922646,0.22815274,0.23299783,0.23699008,0.24360351,0.25337473,0.26151976,0.2627945,0.25576708,0.24487096,0.236208,0.23324694,0.23406458,0.23333444,0.22549121,0.20888984,0.18623471,0.16355987,0.14638053,0.1376655,0.13680737,0.1406972,0.14587696,0.15027985,0.15433277,0.15971391,0.1674668,0.17642398,0.18304414,0.18500231,0.18556745,0.19713287,0.23422839,0.30149344,0.38501552,0.4599608,0.5078757,0.5265339,0.526341,0.5184972,0.50949675,0.5016557,0.49441102,0.48690355,0.4773024,0.46683475,0.45736897,0.45165142,0.44992936,0.4505475,0.4516296,0.4521747,0.45333922,0.45559493,0.45824364,0.45928288,0.4573852,0.45369193,0.44977054,0.4469044,0.44310418,0.4353023,0.4208432,0.40085125,0.3797773,0.3623785,0.3502986,0.34137836,0.33248425,0.32277903,0.3141587,0.31009826,0.31320894,0.32513222,0.3448796,0.36869302,0.38925767,0.4001795,0.39862755,0.38815197,0.37374663,0.3603152,0.34891224,0.34016064,0.33289334,0.3265371,0.31993783,0.31309685,0.3070601,0.30258957,0.3000594,0.29816714,0.29626068,0.29403785,0.29230943,0.2917521,0.2918365,0.29169595,0.29019287,0.28783092,0.28538096,0.28372407,0.28275213,0.2816272,0.28000054,0.27831528,0.27854702,0.2825496,0.29115257,0.30329168,0.31564507,0.32427707,0.3254489,0.3192947,0.30964407,0.30341223,0.30527246,0.31347388,0.31969318,0.3140279,0.29345378,0.26359978,0.23571067,0.21880834,0.2160473,0.2240075,0.23548853,0.24322683,0.24351037,0.23688047,0.22655582,0.21533541,0.205242,0.1971296,0.19173221,0.18916236,0.18988125,0.19441308,0.20283757,0.21329133,0.22217883,0.2259279,0.22295208,0.21372008,0.19921146,0.17987971,0.15624008,0.12995963,0.10376274,0.08006815,0.060174704,0.044552278,0.03388131,0.029445732,0.032869328,0.04439978,0.061966315,0.080720104,0.09645054,0.10585212,0.10767097,0.09969744,0.08269056,0.061065778,0.04456988,0.04231515,0.05971561,0.095033206,0.1403749,0.18317838,0.21228762,0.22294404,0.21877377,0.20661141,0.19059497,0.17059094,0.14587311,0.1202516,0.10067295,0.09340475,0.09906724,0.11374552,0.13063206,0.14244844,0.14411879,0.13615096,0.1260689,0.12343433,0.13303533,0.15183295,0.17225474,0.18837635,0.19839095,0.2039636,0.20703799,0.20880471,0.20982748,0.21093039,0.21297528,0.2161765,0.21975166,0.22224362,0.22199112,0.21795975,0.21040721,0.20132852,0.19332312,0.18810906,0.18549329,0.18391247,0.18123575,0.17535043,0.16440564,0.14819606,0.12835546,0.10888192,0.09381304,0.088004895,0.09396773,0.111251675,0.1325019,0.14806868,0.1502073,0.13885356,0.11888706,0.096535206,0.0758137,0.05901387,0.047324833,0.040629055,0.03703231,0.03348415,0.027901744,0.020300025,0.01257398,0.006547238,0.0029737733,0.0013327966,0.00078116084,0.0006348642,0.0005986581,0.0005741523,0.0005501833,0.000526432,0.000503946,0.00048294544,0.0004627368,0.00044154702,0.00041844964,0.0003936393,0.00036852213,0.00034244344,0.0003126447,0.0002748949,0.00022841756,0.00017833103,0.00013678295,0.00011716772]