[0.18787092,0.19018291,0.19309555,0.19200402,0.18508081,0.17360543,0.15957372,0.1429467,0.12383174,0.1063792,0.09923816,0.108716644,0.132151,0.15787871,0.17433643,0.17694305,0.16905843,0.15595132,0.1410932,0.12489799,0.10689563,0.089017354,0.07883745,0.0897746,0.13074532,0.19553816,0.2587398,0.29322287,0.28789255,0.25498483,0.21552505,0.18392776,0.16268407,0.14780335,0.13601542,0.12587067,0.11790452,0.112255394,0.109159626,0.10754617,0.10660496,0.10596225,0.10677812,0.11038598,0.11725435,0.1266389,0.13685936,0.1461916,0.1524654,0.1544649,0.1521845,0.1481479,0.1444817,0.14157408,0.13607876,0.12521681,0.108956784,0.09198295,0.07929506,0.073525645,0.07343637,0.07636463,0.08020221,0.083874546,0.08654263,0.086814515,0.08430877,0.082485,0.09015446,0.11677438,0.16245435,0.21309166,0.24685459,0.25094423,0.22902165,0.19706829,0.17077862,0.1601166,0.16992407,0.19622327,0.22674735,0.2412345,0.23029743,0.19838496,0.16382493,0.13900445,0.1270871,0.122251295,0.1196736,0.117234744,0.11493558,0.1127655,0.11029487,0.10719598,0.10339132,0.099254794,0.09528061,0.09189924,0.08910488,0.086681195,0.084325396,0.08198052,0.07992026,0.079437934,0.08326706,0.09508684,0.11660886,0.14498778,0.17266656,0.19188346,0.19906296,0.19610083,0.18738474,0.17687966,0.16766173,0.16226847,0.16280419,0.16922529,0.17980988,0.19053543,0.1970071,0.19424999,0.18138947,0.16246493,0.1472191,0.14331882,0.1527332,0.1693999,0.18506356,0.19252463,0.19063951,0.18487729,0.18734331,0.20571272,0.2367592,0.26295874,0.27054298,0.2574385,0.23814742,0.2260227,0.226923,0.23444398,0.2396478,0.23562782,0.22174418,0.20144491,0.17978887,0.16043858,0.14490217,0.13296627,0.12371323,0.116223015,0.109723836,0.10386795,0.09853429,0.0938224,0.089678824,0.08659815,0.08568025,0.08852127,0.09406661,0.09841815,0.0954692,0.08323032,0.06434613,0.04550171,0.031045133,0.022262635,0.017414333,0.014780074,0.013092191,0.01180268,0.010669065,0.009658061,0.009931814,0.01601197,0.036584545,0.07948398,0.14105013,0.20277584,0.23989697,0.24142049,0.21553804,0.18298888,0.15996037,0.1548065,0.16950093,0.20039721,0.23629253,0.25933936,0.2586596,0.23562104,0.20398282,0.17550077,0.15570654,0.14267321,0.13379778,0.12705667,0.12200403,0.11822373,0.11559385,0.113847494,0.11359775,0.116437815,0.1251694,0.1410139,0.16186853,0.18104927,0.19219567,0.19245665,0.18584186,0.17809756,0.17435859,0.17490216,0.17810826,0.1801681,0.17857236,0.17182116,0.1624248,0.15485077,0.15416847,0.16098838,0.17103072,0.17655902,0.17231013,0.15945403,0.14585914,0.14122729,0.15071464,0.1725204,0.19994827,0.22643356,0.24809813,0.26393807,0.27441397,0.27979997,0.27944925,0.27184752,0.25906897,0.24858923,0.2525517,0.2747574,0.3069013,0.32869384,0.32862484,0.3077854,0.2809672,0.2582963,0.2434522,0.2331285,0.22568358,0.22147442,0.22172035,0.22577691,0.23042804,0.231809,0.22778682,0.21965547,0.21056007,0.20329513,0.19879006,0.19742286,0.19938298,0.20436627,0.20991834,0.21278702,0.21099813,0.20557557,0.19878395,0.19212477,0.18497853,0.17604573,0.16375744,0.14795552,0.12959981,0.11195459,0.0980419,0.088738255,0.08109799,0.07134866,0.058181528,0.043977354,0.03369002,0.034218963,0.054711193,0.10114109,0.16785826,0.23342852,0.27223036,0.27236494,0.24338502,0.20711999,0.18294363,0.1816365,0.20662351,0.25055945,0.29600403,0.31884578,0.30940354,0.27571198,0.2400887,0.2167086,0.20835729,0.20849939,0.21248603,0.21813138,0.22466819,0.23056857,0.23544542,0.24056159,0.24808913,0.25839427,0.2692897,0.27708736,0.27857032,0.272916,0.26203832,0.25051278,0.24317516,0.24328868,0.25084355,0.26299357,0.27478328,0.28110278,0.27874422,0.26861337,0.25410983,0.239377,0.22571908,0.21376997,0.20291688,0.19363165,0.1852762,0.17828695,0.17362016,0.17292936,0.17567706,0.17878608,0.17875169,0.17484547,0.16993988,0.16790932,0.17069839,0.17683472,0.1827023,0.18504293,0.18559082,0.19247837,0.2173791,0.26097956,0.30787182,0.33010587,0.3132104,0.26405743,0.20818357,0.16502894,0.14100887,0.1301136,0.12542108,0.122434944,0.11946148,0.116066694,0.11234153,0.10876489,0.105694644,0.10336783,0.10177195,0.100638576,0.099480756,0.09775457,0.09530226,0.09239867,0.09007195,0.08980905,0.093564264,0.101651065,0.1114499,0.11684661,0.11252306,0.09754657,0.076789744,0.056770343,0.041737553,0.032142192,0.026426101,0.022888519,0.020366214,0.01816135,0.015963892,0.013863102,0.014092334,0.022596776,0.049869675,0.10221368,0.17324471,0.23973005,0.27730048,0.27607572,0.24769552,0.21200313,0.1854738,0.17666213,0.1908073,0.22472294,0.2647319,0.28703144,0.27809653,0.24156539,0.19748767,0.16251458,0.14399713,0.14169568,0.15464057,0.18105412,0.2135182,0.24144335,0.25642955,0.2585224,0.2531534,0.2455622,0.23733753,0.22805512,0.21864498,0.21229766,0.21310334,0.22313069,0.24037473,0.25920644,0.2737026,0.2805412,0.27988878,0.27324694,0.26308027,0.2518114,0.24210005,0.23470998,0.22914864,0.2243012,0.22049831,0.21832184,0.21766888,0.21657948,0.21385002,0.21069424,0.211154,0.21784024,0.22889048,0.23817705,0.23991674,0.2326649,0.21964526,0.20606017,0.19590147,0.19124736,0.19467993,0.21083929,0.24518274,0.29430014,0.34455514,0.37480345,0.37577447,0.35191858,0.32033718,0.2919654,0.27065182,0.25245067,0.2350921,0.21794105,0.20282628,0.19119634,0.18382286,0.18006243,0.17909633,0.18091424,0.1869542,0.19840597,0.21405385,0.22902896,0.2377991,0.23709428,0.22917251,0.21857215,0.2111112,0.20964581,0.2159062,0.22820534,0.24353313,0.25665784,0.26326677,0.2608383,0.2497297,0.23215313,0.21057366,0.18706371,0.16290058,0.1402237,0.12250066,0.11400723,0.11804712,0.13613112,0.16919105,0.21521552,0.26599774,0.30646732,0.32350156,0.3162469,0.29586574,0.276555,0.26597857,0.26719865,0.28186062,0.3080119,0.33586273,0.3488071,0.33770952,0.30634573,0.27024657,0.24117012,0.22304875,0.21195032,0.20403092,0.19680719,0.18969859,0.18230878,0.1748609,0.16768421,0.16133772,0.1558233,0.15094364,0.1459973,0.14053942,0.13440305,0.1284277,0.123713374,0.121480115,0.12291964,0.13068186,0.14808671,0.17607951,0.20902966,0.23604281,0.2472691,0.24131267,0.22561395,0.21094544,0.20380521,0.20416959,0.20795017,0.2121378,0.21646889,0.22189163,0.22686334,0.22771485,0.22158289,0.21055096,0.20003022,0.19475083,0.19518144,0.19886066,0.20330596,0.20637369,0.20797409,0.21090508,0.22402449,0.25307375,0.2934927,0.32616806,0.33355114,0.31222025,0.27629444,0.24346308,0.2234397,0.21488188,0.2105722,0.20386456,0.19265808,0.1798539,0.16991429,0.16503634,0.16432078,0.16618335,0.16965193,0.17401958,0.17753047,0.17814195,0.17449553,0.16644935,0.15486097,0.14139603,0.12907346,0.121676,0.12166407,0.12732239,0.1322865,0.1295436,0.11618822,0.09552429,0.073714964,0.055796336,0.043370217,0.035628032,0.030761698,0.027169114,0.023802454,0.020398885,0.017261986,0.016267424,0.02292999,0.04705127,0.09661261,0.16638066,0.234493,0.27325824,0.2707129,0.23655818,0.19439246,0.16369641,0.15609811,0.17366053,0.20888253,0.24328363,0.25623903,0.24040492,0.20561975,0.17022468,0.14523715,0.13150726,0.12407944,0.11917761,0.115375645,0.11235461,0.11009493,0.10831824,0.10685002,0.105180316,0.10304186,0.10019833,0.09686426,0.09316859,0.08945745,0.08589578,0.08284479,0.08076916,0.080833375,0.0848136,0.09345918,0.10449415,0.112052195,0.11075845,0.09963271,0.08336875,0.069009446,0.06310906,0.071213186,0.0959577,0.13489042,0.17783159,0.21292043,0.2325815,0.23921047,0.24059992,0.24524628,0.25648558,0.27241525,0.28657195,0.29182598,0.28423652,0.26617172,0.24480547,0.22926985,0.22714299,0.24475251,0.28171858,0.32858887,0.36562243,0.37672326,0.35845122,0.3223944,0.28283703,0.24860924,0.22150262,0.20105396,0.18784893,0.18402839,0.19152153,0.20927449,0.23125587,0.24856657,0.2545695,0.24897765,0.23675388,0.2226057,0.20782207,0.19121116,0.1738239,0.15994549,0.15463895,0.15940313,0.17154162,0.1862338,0.19923548,0.20729196,0.20805204,0.20012802,0.18444113,0.16486879,0.14805543,0.14072001,0.14549154,0.15784363,0.16817252,0.1683286,0.15688032,0.13864253,0.12227536,0.11728712,0.13442077,0.1749953,0.2288567,0.27142763,0.2871987,0.27442488,0.24963355,0.22726898,0.21784663,0.22623628,0.2525182,0.2879994,0.31273142,0.3122177,0.28523883,0.24788235,0.21566921,0.19667397,0.18855147,0.18657751,0.18672068,0.18687798,0.18629825,0.1851483,0.18456376,0.18534851,0.1878513,0.19115104,0.19425093,0.19602127,0.196436,0.19580095,0.19492827,0.19392915,0.19303624,0.19305378,0.19627501,0.2042026,0.21506506,0.22233588,0.21854411,0.20002677,0.17064174,0.13953947,0.1171543,0.10930171,0.115480326,0.12913692,0.14261965,0.149809,0.14754719,0.1347766,0.11392938,0.09227613,0.08004434,0.08427117,0.10353219,0.12776522,0.14506266,0.147922,0.13708554,0.12058032,0.11216775,0.12759018,0.17318942,0.23663737,0.2874883,0.3000303,0.2722931,0.22718622,0.19026452,0.17175503,0.16617589,0.16399433,0.16075364,0.1568055,0.15412103,0.15348138,0.154523,0.15607381,0.15715379,0.15708052,0.15587349,0.1539241,0.15196806,0.15047,0.14936899,0.14804395,0.146145,0.14431065,0.14424205,0.14657582,0.14923543,0.14715935,0.13633083,0.1167326,0.093243636,0.071688354,0.05592273,0.046537384,0.04235341,0.04143193,0.04212026,0.04420356,0.050353263,0.065165274,0.09356726,0.1373549,0.19571477,0.2606362,0.31946436,0.35527912,0.36182544,0.34513223,0.32309648,0.3096353,0.3114289,0.3285798,0.35768,0.39067766,0.41220653,0.4094927,0.3790646,0.33186436,0.28293523,0.24519111,0.2246514,0.2222426,0.23394132,0.25156698,0.26606753,0.27158093,0.26847827,0.2613113,0.2554454,0.25334838,0.25471213,0.25743952,0.25957635,0.25953272,0.25634468,0.24995565,0.24148816,0.23381227,0.23070978,0.2349037,0.24518007,0.25549698,0.25917885,0.25319982,0.24116124,0.2287092,0.22035779,0.2165066,0.2168474,0.22133107,0.2307445,0.24325366,0.2542526,0.258134,0.25273934,0.24051212,0.2267735,0.2157355,0.20832618,0.20251046,0.19600731,0.18803258,0.17928733,0.17218621,0.1715342,0.18635486,0.22035198,0.2671351,0.30550674,0.3196155,0.30640957,0.28118756,0.25850162,0.24611084,0.24163888,0.24083765,0.24040835,0.23902364,0.23654865,0.23321544,0.22925498,0.22467862,0.21944124,0.21393454,0.20843017,0.2030565,0.19736862,0.19136496,0.18551393,0.18081206,0.17801033,0.17747109,0.17898692,0.18025482,0.1769077,0.16393514,0.14157148,0.11670729,0.100610934,0.100566275,0.116523564,0.1424477,0.17166938,0.19947106,0.22236533,0.23762608,0.24321012,0.2393837,0.23065883,0.22659813,0.2404135,0.27638623,0.3249996,0.36198106,0.37125215,0.35195827,0.32060584,0.29246783,0.27728423,0.2801228,0.30062595,0.3321139,0.3563671,0.3615295,0.34618434,0.32489565,0.30895376,0.3027057,0.30112538,0.29972163,0.29630423,0.29112685,0.28446117,0.27619198,0.26643315,0.25590405,0.24580419,0.23696317,0.22945547,0.22275794,0.21631481,0.20998329,0.20398153,0.19876106,0.19498627,0.19328642,0.19366938,0.1932044,0.18684876,0.16977142,0.14385146,0.11682191,0.09873909,0.09401233,0.10199162,0.11936434,0.14310478,0.16825473,0.18678641,0.19177878,0.18250138,0.16625352,0.15265144,0.1478105,0.1513466,0.1582604,0.16307455,0.1629263,0.15825619,0.15084131,0.14197098,0.1349568,0.13650118,0.15747459,0.20052262,0.2564629,0.30187568,0.32113108,0.3115987,0.28806886,0.26255795,0.24171151,0.22409278,0.21017867,0.20182377,0.20145677,0.20824844,0.21808338,0.22539216,0.22600625,0.21916254,0.20719539,0.19384666,0.18226081,0.1739847,0.16892083,0.16579588,0.16330612,0.16142708,0.16228752,0.16799669,0.17705853,0.18227176,0.17535412,0.15417427,0.12688722,0.106583945,0.1020203,0.11145549,0.1256371,0.13527311,0.13698435,0.13275391,0.12621328,0.11899934,0.111388706,0.1058445,0.109878205,0.13368835,0.1787253,0.2324059,0.27105597,0.28053153,0.26302966,0.2354332,0.21250571,0.20343764,0.2131743,0.2412434,0.27900282,0.30637917,0.30915117,0.28559446,0.25140226,0.22151275,0.20466574,0.19890292,0.20005484,0.2032553,0.20584275,0.2062028,0.20453382,0.20143771,0.19758183,0.19315,0.18836607,0.1835798,0.17921877,0.17604655,0.17565112,0.1807204,0.1935394,0.21401876,0.23841493,0.26104876,0.27688733,0.28403577,0.28359595,0.27872255,0.27213892,0.26519445,0.25705412,0.24759811,0.23838162,0.23393948,0.23752029,0.24963303,0.26625556,0.28183755,0.29038194,0.28776333,0.2729359,0.25016993,0.22765665,0.2135456,0.21020402,0.2137844,0.21784008,0.21825229,0.21602009,0.21640849,0.22906435,0.25938717,0.3041941,0.34644148,0.37060967,0.3707231,0.35643843,0.33827254,0.32185307,0.30550984,0.2887549,0.2739617,0.2659669,0.26725194,0.27619818,0.2862297,0.2897655,0.28204715,0.2645734,0.2429,0.22312568,0.2078929,0.19667846,0.18734485,0.17876996,0.17157489,0.16768248,0.16872437,0.1727786,0.1740774,0.16483904,0.14261939,0.11204151,0.08288673,0.062051173,0.051029194,0.046884775,0.04634006,0.047151703,0.047841165,0.04746805,0.046221916,0.04711854,0.05702429,0.08558098,0.13954021,0.2137293,0.28946027,0.34260073,0.36172673,0.35249338,0.33212984,0.3144324,0.30719975,0.3146621,0.33602712,0.3635926,0.37998354,0.37466422,0.34844294,0.3169545,0.29243174,0.27967402,0.27414536,0.27219865,0.272312,0.27456307,0.2769799,0.2768205,0.27210817,0.2636272,0.25344354,0.2441342,0.23674321,0.23140354,0.22708406,0.2235499,0.22086371,0.21981567,0.22063126,0.22396511,0.23060559,0.24081667,0.25270414,0.26246312,0.26638553,0.26209083,0.24786252,0.22291976,0.18954073,0.15606074,0.1335523,0.12924947,0.14034642,0.15691142,0.16986142,0.17734718,0.18350323,0.19223495,0.20392554,0.2161076,0.22731052,0.23725201,0.24616213,0.2522008,0.25318232,0.25046036,0.25232115,0.2713842,0.31083655,0.35847044,0.38833824,0.38487044,0.35072008,0.30723318,0.27159613,0.25023037,0.23729943,0.22646485,0.21451086,0.2027842,0.1939513,0.19039583,0.19228117,0.19769412,0.20276368,0.2039414,0.19932824,0.19000058,0.17865354,0.16800714,0.15925193,0.1524931,0.14783098,0.14597358,0.14716929,0.14883259,0.14577337,0.13278125,0.109951854,0.082532145,0.05809043,0.04073304,0.030718476,0.025761805,0.023663087,0.02266536,0.021511883,0.019649254,0.01727721,0.01562859,0.018913267,0.034970947,0.07307119,0.1316089,0.19475466,0.23598826,0.2420455,0.21822314,0.18589962,0.16218482,0.15760438,0.1771387,0.21894884,0.27018607,0.3055074,0.3087932,0.2809557,0.24272056,0.21119957,0.19443534,0.18843795,0.1888595,0.19177026,0.19544168,0.19763952,0.19733477,0.19425385,0.1919743,0.19688295,0.21783459,0.25421092,0.29351366,0.31224522,0.29832995,0.2574951,0.21298623,0.18438661,0.18159692,0.20212823,0.23760279,0.2740314,0.29712352,0.29888353,0.28258935,0.25885954,0.23808162,0.22590399,0.22439939,0.23301685,0.2488277,0.26556253,0.27738228,0.2814161,0.28084376,0.2822212,0.2938614,0.318885,0.35373095,0.38681304,0.40894404,0.41682938,0.41540563,0.40940568,0.40281376,0.39990342,0.4063903,0.4244379,0.44731227,0.46406388,0.46727225,0.45880163,0.4450266,0.43128225,0.41865575,0.40557066,0.38988554,0.37076697,0.349888,0.33090937,0.31707743,0.30814907,0.3004059,0.28955638,0.27543756,0.26275992,0.2589009,0.2678121,0.28692675,0.30638087,0.3146093,0.30499434,0.28091988,0.25363392,0.23438323,0.22735578,0.22872429,0.2322429,0.23540168,0.23982358,0.24797189,0.2581369,0.26579008,0.2660579,0.25766453,0.24262752,0.2250036,0.20929898,0.1971821,0.18773417,0.17777656,0.16940534,0.16920966,0.18605943,0.21950428,0.2600656,0.29225942,0.30815127,0.3095046,0.30762333,0.3116223,0.32489276,0.3423228,0.35722438,0.36360934,0.35936245,0.34376025,0.31758872,0.2814379,0.23770791,0.19011854,0.14464395,0.10643052,0.078621626,0.060713474,0.050085485,0.043556336,0.038828176,0.034986295,0.031853277,0.029581124,0.02794881,0.026604986,0.026638642,0.033811044,0.06019609,0.11815379,0.2070102,0.30546227,0.38066748,0.4120073,0.4035714,0.37776613,0.3542534,0.34037054,0.3331493,0.3284145,0.32409987,0.3202913,0.31827605,0.3202732,0.32821405,0.34180403,0.3578166,0.37152472,0.37970784,0.38162208,0.37893763,0.37287906,0.36421624,0.35234988,0.33902815,0.32896215,0.33120012,0.3512907,0.3856454,0.41839743,0.4329889,0.4231201,0.3975124,0.37028912,0.35075775,0.33947274,0.33181036,0.32284316,0.30938467,0.29118645,0.27034986,0.2503648,0.2334209,0.21972412,0.20840617,0.19954471,0.19431855,0.19338392,0.19567919,0.19858323,0.20016818,0.20015836,0.20014817,0.2006539,0.19977559,0.19322075,0.178411,0.15668918,0.13247846,0.109321065,0.08818871,0.06937199,0.055224847,0.05004252,0.056167036,0.070370734,0.08418771,0.08988174,0.086614735,0.08117664,0.08139639,0.08882771,0.09771839,0.10081089,0.09565424,0.08535018,0.07451191,0.065257706,0.05698487,0.048597056,0.040268555,0.033183787,0.02825149,0.025404753,0.02381702,0.022715935,0.021742908,0.020935649,0.020401025,0.0202718,0.020760536,0.022177376,0.024732158,0.028336192,0.032471787,0.03623864,0.039349366,0.043485593,0.05377416,0.07577676,0.11167387,0.15567608,0.1977411,0.22811095,0.24321263,0.24472718,0.2377438,0.22789718,0.21986704,0.21719833,0.22105992,0.23025425,0.24025829,0.24606794,0.24496762,0.23895098,0.23216327,0.22690624,0.22104831,0.21068181,0.19494246,0.1787722,0.16929395,0.16995509,0.17754059,0.18542188,0.18793194,0.18188715,0.16586019,0.1405328,0.110269,0.08186092,0.06269347,0.059564967,0.080981486,0.13151647,0.20469676,0.27815735,0.32798275,0.3442788,0.33741632,0.32452556,0.31571153,0.31083477,0.30616817,0.3006381,0.295928,0.29448235,0.29730883,0.30366573,0.31101653,0.3165247,0.31812572,0.31574115,0.31044003,0.3040782,0.29804668,0.29320717,0.28939608,0.28595075,0.28283086,0.28068495,0.27994776,0.27764603,0.2679889,0.24536031,0.21057029,0.17225154,0.14335221,0.13343209,0.14322735,0.16471939,0.18630369,0.19916596,0.20067404,0.19348256,0.18275712,0.17463458,0.17610204,0.19443806,0.23087724,0.2761567,0.31112313,0.32099986,0.30581096,0.28036594,0.26139104,0.2573582,0.27001306,0.29495558,0.32432374,0.34340248,0.3426756,0.32264137,0.2967051,0.27693805,0.26768535,0.26478463,0.26336172,0.26143765,0.2594224,0.25809178,0.257414,0.25705776,0.2566397,0.25618684,0.25581044,0.2556336,0.25551164,0.25534883,0.25511095,0.25485346,0.2544483,0.253922,0.25396827,0.2562356,0.2616587,0.26878902,0.27340186,0.27196297,0.26396275,0.2522731,0.23916818,0.2253751,0.21004523,0.19431083,0.18052502,0.17215191,0.16999692,0.17200343,0.17274791,0.1674877,0.15582104,0.14282973,0.13590777,0.13793416,0.14639717,0.15469027,0.1590888,0.15910019,0.1598481,0.16875274,0.19538875,0.24066293,0.29384902,0.33222112,0.34100136,0.3213724,0.29116488,0.2660878,0.25195953,0.24482031,0.23930378,0.23301403,0.2255426,0.21809006,0.21122648,0.20612788,0.20288225,0.2019431,0.20247607,0.20384783,0.20453171,0.20418002,0.20238917,0.20002155,0.19741832,0.19605692,0.19668378,0.19987132,0.20225471,0.1982886,0.18162103,0.15212281,0.11578626,0.082434654,0.058183726,0.04389557,0.036480248,0.032848958,0.031028256,0.02988982,0.028635487,0.026871912,0.024930097,0.0263808,0.039051216,0.07500301,0.13726969,0.21426189,0.27781656,0.30789062,0.30152723,0.2759434,0.2484446,0.23139627,0.23218799,0.25245622,0.2855183,0.31208864,0.31849557,0.30243406,0.27759966,0.25543037,0.24146672,0.23424679,0.23320614,0.23908944,0.251546,0.26778385,0.2830905,0.29375455,0.29792833,0.29666367,0.29291633,0.2901995,0.28983977,0.29031703,0.2884427,0.2827324,0.27397692,0.2645159,0.25501642,0.24580644,0.23734373,0.23243682,0.23261757,0.23693919,0.24122469,0.24172555,0.23755689,0.23103742,0.2266507,0.2284481,0.23851855,0.2548746,0.27244356,0.28508532,0.28845325,0.2803423,0.26064163,0.2321164,0.20197605,0.18003727,0.17317255,0.18050255,0.19457482,0.20749576,0.21756445,0.23001693,0.25390592,0.29056278,0.3313378,0.35805964,0.36228767,0.3478296,0.33117655,0.32244197,0.32410678,0.33048427,0.33716634,0.34036887,0.33776915,0.32822594,0.31418848,0.30076864,0.2921184,0.2887672,0.2884378,0.2898161,0.29304174,0.29817358,0.3026723,0.3031493,0.29761076,0.2872416,0.27442446,0.2615217,0.24882482,0.23605935,0.22181745,0.20634921,0.19082165,0.17815511,0.16969055,0.16424172,0.15857908,0.1505767,0.14086491,0.13131174,0.12293229,0.11555556,0.10926322,0.10744819,0.11704237,0.1474232,0.1994021,0.2614733,0.31023833,0.3308476,0.32332262,0.30271304,0.28191635,0.26891223,0.26785076,0.27923334,0.29739133,0.30797815,0.30388257,0.28830495,0.2760296,0.27432367,0.28210124,0.29050735,0.29468283,0.2935994,0.28984597,0.2852722,0.2812715,0.27778506,0.27496815,0.27288976,0.27292514,0.2762905,0.28389227,0.29465175,0.30653116,0.31660637,0.32256755,0.32275328,0.3169481,0.30624422,0.29219386,0.27621892,0.258996,0.24194722,0.22668548,0.21492343,0.20675786,0.20132332,0.19715285,0.19295138,0.18780488,0.18159004,0.17536354,0.1705305,0.1678017,0.16644783,0.16514991,0.16295986,0.15969239,0.15529089,0.14942352,0.14187874,0.13322742,0.12477085,0.12057773,0.12769355,0.15645772,0.2069788,0.2654912,0.30350313,0.3050095,0.27350867,0.2330981,0.20199798,0.18671454,0.18163638,0.18187468,0.18454956,0.18845351,0.19122364,0.19143045,0.18903303,0.18621467,0.18449087,0.18424003,0.18362416,0.18087189,0.1751328,0.16766278,0.16058241,0.1556672,0.15368317,0.15460384,0.15827371,0.16214897,0.16157931,0.150506,0.12811436,0.09914184,0.072491236,0.053797957,0.044272255,0.041497335,0.042617097,0.04505414,0.046258878,0.04469517,0.040306553,0.035429087,0.03561939,0.049874354,0.088307224,0.1509313,0.2235984,0.28003964,0.3034961,0.29352048,0.2671798,0.24186383,0.2319342,0.2434454,0.2733018,0.30625662,0.32257736,0.3131628,0.2852694,0.25568816,0.23595951,0.22821844,0.22899729,0.23480375,0.24340796,0.25193608,0.25781706,0.25915778,0.2569831,0.2552202,0.2608485,0.27974635,0.3093591,0.33708736,0.34686026,0.33456016,0.30999514,0.2903016,0.28492585,0.29464707,0.3139498,0.3362044,0.35344172,0.35920155,0.35264245,0.3391284,0.3257257,0.31543317,0.30722964,0.2991692,0.29112342,0.28459758,0.2813349,0.2827491,0.2882956,0.29559907,0.30216,0.3099523,0.32565796,0.35355258,0.38860127,0.4160641,0.42408422,0.41038498,0.3843141,0.35747087,0.3410574,0.34238234,0.36216542,0.3909928,0.41148353,0.41092277,0.38869467,0.3567333,0.3271735,0.3060591,0.29224685,0.2834086,0.27865383,0.2783167,0.28207728,0.28805098,0.29376817,0.2991517,0.3077971,0.32610038,0.35313067,0.37924907,0.38712764,0.37077752,0.33685204,0.3032912,0.28143057,0.27477583,0.2809213,0.295948,0.31357312,0.3218613,0.31169274,0.28204206,0.24561709,0.21873488,0.21340899,0.22954196,0.25818017,0.28648326,0.30461672,0.30819127,0.29864943,0.2817184,0.26661095,0.26389727,0.27906644,0.30551633,0.32484964,0.32001737,0.28932816,0.2474013,0.21301515,0.19793785,0.20694333,0.23952281,0.28666353,0.32875195,0.34440544,0.32809222,0.29338944,0.26245317,0.24688923,0.2453142,0.24965687,0.25515488,0.2610142,0.26710287,0.27208436,0.27411702,0.27398637,0.2757132,0.2853411,0.30646905,0.3338692,0.35480246,0.3550446,0.33320868,0.29935846,0.26994333,0.2537565,0.2536244,0.26727057,0.2906082,0.31486604,0.3289747,0.32605997,0.307426,0.280921,0.25437388,0.23262705,0.217274,0.20779735,0.20232463,0.19795357,0.193569,0.1901583,0.19163758,0.20198195,0.22493272,0.26006803,0.29873452,0.32341692,0.31635925,0.2753664,0.21727061,0.16957198,0.15233488,0.17192514,0.22129957,0.2837274,0.3372579,0.36214325,0.35338095,0.32155108,0.2851741,0.25673732,0.23936374,0.23057967,0.2271394,0.22713162,0.22876869,0.23176391,0.23605508,0.24197836,0.25003076,0.26287743,0.2850676,0.31554887,0.34421143,0.35384977,0.33699438,0.3009247,0.2645738,0.24211402,0.23849235,0.25139633,0.2748665,0.29952335,0.31197932,0.30399993,0.27733374,0.24443488,0.21719106,0.20089358,0.19370838,0.19226171,0.19438523,0.1978824,0.19963185,0.19722623,0.19272316,0.19373633,0.20992325,0.2444766,0.28900367,0.32480326,0.33685443,0.32290468,0.2957085,0.2709915,0.2600766,0.26711118,0.29031727,0.3209946,0.34436724,0.34814906,0.33161798,0.30646947,0.28641737,0.2773571,0.2753661,0.27380845,0.26856944,0.2607837,0.25291678,0.24718803,0.24321486,0.24165481,0.24559294,0.26181296,0.29201767,0.32781363,0.35001716,0.34482923,0.31350672,0.27312788,0.24153091,0.2286507,0.23610611,0.2595137,0.28935018,0.3093108,0.30647418,0.27758923,0.23372473,0.18936418,0.15570493,0.13570912,0.12833391,0.13186674,0.14510821,0.16595225,0.18872899,0.20644431,0.21593596,0.22280188,0.24003156,0.27519992,0.32370627,0.3665024,0.38846412,0.384603,0.36433494,0.33910692,0.32001916,0.31603277,0.32998276,0.35603276,0.37685385,0.3804141,0.36474803,0.34258184,0.3249214,0.31733766,0.3171328,0.3210142,0.3264278,0.33208594,0.33654368,0.3385546,0.3374156,0.3348472,0.33531627,0.34594968,0.36885038,0.39711943,0.41461065,0.4097098,0.383116,0.34820774,0.31909764,0.3035679,0.30216876,0.3106061,0.32138598,0.32508835,0.31498718,0.29037824,0.25610355,0.21953517,0.18791328,0.1690133,0.16818845,0.1853901,0.21178555,0.23527722,0.24704438,0.24646129,0.24000074,0.23790814,0.2516632,0.28534663,0.3316625,0.37036276,0.38495013,0.37140426,0.34155762,0.30943084,0.28595397,0.27917573,0.29383922,0.32690763,0.3609649,0.37718084,0.36679325,0.34033397,0.31373057,0.2978555,0.29167548,0.28965497,0.2871329,0.2837808,0.28070104,0.27853832,0.27631956,0.27511594,0.27933827,0.2967111,0.32809758,0.36385068,0.38404062,0.37683535,0.3457997,0.30948284,0.28366017,0.27398455,0.2775247,0.28989604,0.30715665,0.32220912,0.3266077,0.31550387,0.29329506,0.27098355,0.25776294,0.25546375,0.25871718,0.26254633,0.26491913,0.26701275,0.26792118,0.2642485,0.25334784,0.23901641,0.23501517,0.2540299,0.2976413,0.3469559,0.37957597,0.38180193,0.35867786,0.3230338,0.29040307,0.2760667,0.2895564,0.32787585,0.36996862,0.394748,0.39291215,0.37474883,0.35309485,0.33556715,0.3214949,0.3102136,0.30256855,0.2985811,0.29551432,0.28979886,0.28030002,0.2701737,0.26610088,0.2771473,0.30553946,0.34303725,0.3699019,0.3728943,0.3508333,0.3166877,0.28267118,0.25809944,0.24827377,0.2546787,0.27170455,0.2854567,0.2849178,0.26936707,0.25019524,0.23902045,0.23895226,0.24446909,0.24839027,0.24817447,0.24467553,0.239542,0.23250967,0.22198902,0.2081781,0.19655065,0.2002262,0.2285819,0.27816048,0.32670796,0.35397542,0.3533474,0.33794442,0.3232225,0.32036567,0.33303323,0.3567386,0.37931785,0.38333687,0.3639729,0.3299046,0.2999318,0.28256896,0.27647635,0.27319577,0.2686167,0.26180893,0.25428566,0.24664335,0.23975587,0.23504607,0.23717003,0.25304213,0.28767884,0.3333168,0.36932448,0.3724576,0.33836725,0.28358775,0.23427097,0.20602088,0.20129228,0.21535748,0.24087161,0.26777437,0.28201613,0.2754077,0.2493368,0.21590759,0.18745196,0.17417061,0.1809389,0.20856877,0.24891348,0.28822288,0.31213292,0.31566992,0.30210343,0.28193215,0.26690117,0.27105126,0.29950738,0.34462905,0.38063225,0.38523152,0.3508513,0.29561576,0.24634928,0.2279077,0.24918078,0.30098546,0.3588939,0.39565542,0.3989384,0.37644783,0.3484321,0.33038035,0.32599103,0.3301505,0.33639726,0.34128964,0.34373415,0.34464443,0.3455975,0.34830368,0.35397294,0.36353984,0.37854955,0.39690247,0.41140985,0.40957412,0.38557175,0.34411287,0.30154338,0.27273738,0.2658923,0.27835545,0.3009418,0.3214364,0.32963857,0.3224456,0.30393246,0.28291255,0.26632464,0.2577782,0.25834754,0.26800942,0.2849429,0.30320862,0.31606695,0.3190633,0.31535372,0.31347382,0.3242738,0.3511022,0.38583735,0.409948,0.40867212,0.380448,0.33833337,0.29884624,0.27480114,0.27342448,0.2960887,0.3347282,0.37105656,0.38632858,0.37524724,0.34963015,0.32827604,0.32174596,0.3275558,0.33495286,0.33432594,0.32250416,0.3029151,0.282378,0.26657346,0.25964713,0.2651306,0.2878228,0.32700825,0.37096334,0.39706263,0.38836262,0.34710515,0.29457608,0.25339153,0.23323779,0.23118739,0.23993587,0.2528151,0.26178995,0.2588819,0.240718,0.21255487,0.18488312,0.16752882,0.16537799,0.17895086,0.20468248,0.2364316,0.26519993,0.2836208,0.287794,0.281631,0.27438208,0.27895334,0.30169174,0.33663693,0.36441493,0.3669227,0.34086943,0.3006649,0.26692072,0.2543049,0.26899907,0.3069557,0.3545895,0.38904145,0.39321592,0.36608216,0.32519844,0.28981075,0.26964068,0.26221249,0.26268992,0.26860693,0.27962863,0.29337025,0.30531165,0.3109515,0.30982035,0.3071095,0.31279728,0.33278665,0.3602116,0.375183,0.3605384,0.31836483,0.26898205,0.23405795,0.22060151,0.223608,0.23589087,0.2529644,0.2691834,0.27543154,0.26561874,0.2415273,0.21288137,0.1892026,0.17687458,0.17860086,0.19531566,0.22368069,0.25531766,0.2797419,0.28999892,0.28652772,0.27692965,0.2740929,0.28983843,0.3259932,0.36983445,0.40074778,0.40618172,0.38800395,0.35964274,0.33476174,0.32505086,0.33587185,0.36395955,0.3944513,0.41010168,0.40336716,0.3803598,0.35284162,0.32735983,0.30525208,0.28752193,0.27867237,0.2818974,0.29479083,0.30958363,0.3192018,0.3228943,0.32703996,0.3411369,0.36870113,0.4025682,0.42733017,0.4324706,0.42032564,0.40274844,0.38912904,0.37987968,0.37144244,0.36222792,0.3541437,0.34729686,0.3395878,0.32867935,0.31620324,0.3066678,0.30631202,0.32033238,0.34884718,0.3819652,0.40171456,0.39453104,0.36401483,0.32889333,0.30931658,0.31266832,0.3355007,0.36667562,0.3941659,0.40461907,0.3935323,0.36773124,0.34430623,0.33719254,0.35060206,0.37952173,0.41356137,0.44096002,0.44933632,0.4341763,0.4005157,0.36277553,0.33266523,0.31459764,0.30458704,0.29782584,0.29201186,0.28878024,0.2901304,0.2961676,0.30291548,0.30559582,0.30338642,0.3037072,0.31699705,0.34498596,0.37395537,0.3822998,0.35978448,0.3155688,0.27097628,0.24169183,0.23179875,0.23841242,0.2573975,0.28384307,0.30882397,0.3244281,0.32756805,0.32242596,0.31494474,0.3093051,0.30678734,0.30547217,0.30087578,0.28717494,0.2621113,0.22883064,0.19590865,0.1745944,0.1781195,0.21410029,0.27679998,0.34212306,0.38291213,0.38571694,0.35961,0.3242991,0.29785824,0.29086626,0.30590087,0.33504713,0.3609368,0.3666227,0.3492844,0.32046625,0.29544255,0.28014567,0.2719905,0.26645243,0.26157233,0.25689235,0.25090417,0.24381377,0.23772772,0.23784627,0.24863964,0.27388895,0.31116948,0.35001323,0.37264612,0.36677504,0.3351295,0.2942381,0.26200947,0.24730074,0.25085112,0.26718673,0.28776538,0.30010214,0.29561964,0.2737231,0.24323273,0.2136726,0.18984365,0.17132235,0.15715766,0.14901197,0.14879401,0.15605295,0.16678302,0.1773812,0.18966615,0.21122868,0.25127235,0.30613828,0.3567736,0.37381145,0.34385237,0.27777132,0.20540488,0.15168594,0.12825356,0.13877054,0.18224849,0.24933426,0.3142428,0.34968916,0.34312892,0.30735365,0.26540008,0.23503566,0.22039394,0.21723999,0.21904318,0.22070283,0.2194683,0.21520813,0.20962484,0.20634688,0.21128254,0.23304899,0.27531692,0.32986793,0.374361,0.3883649,0.36792776,0.32989278,0.29709077,0.28354833,0.28998268,0.30799654,0.32711914,0.33786008,0.33606037,0.32219383,0.29919973,0.2682488,0.23107451,0.19452001,0.17046516,0.16779763,0.18345547,0.20453668,0.2186365,0.22405611,0.22922486,0.24509932,0.27776408,0.32275698,0.366987,0.3924271,0.39032173,0.36499044,0.3328767,0.3090998,0.30230618,0.31485102,0.3419416,0.37247312,0.38800335,0.3780901,0.34497926,0.30516374,0.2727462,0.25328848,0.243133,0.23789053,0.23565967,0.23576427,0.23625086,0.23377769,0.22646445,0.21713048,0.21427889,0.22954492,0.26705047,0.31627396,0.35281083,0.35793352,0.332459,0.29712892,0.27313197,0.2684436,0.27777442,0.2927114,0.30802992,0.3201338,0.32456672,0.3168743,0.2969195,0.27040088,0.24657796,0.23308523,0.23322016,0.24512632,0.26333418,0.2803038,0.2894845,0.28865254,0.28256908,0.28190634,0.29782525,0.33200994,0.37232956,0.39693657,0.39120904,0.35668886,0.31033412,0.27062902,0.25026873,0.25555316,0.28405884,0.32415617,0.35347167,0.35767683,0.33748576,0.31114218,0.29343107,0.28885424,0.29135486,0.29582068,0.30102047,0.3078897,0.31589374,0.32225797,0.32357946,0.31952193,0.3148609,0.31918493,0.33626905,0.35831204,0.36580583,0.34679866,0.30601862,0.26405177,0.2382539,0.23487854,0.2494965,0.27375117,0.2971563,0.30846,0.30126104,0.27698612,0.24328475,0.20892526,0.18348663,0.17957659,0.20552053,0.25626132,0.30770838,0.33489445,0.32792056,0.29909328,0.26805815,0.25037006,0.25450328,0.28064787,0.3193878,0.34947124,0.3537575,0.33028314,0.29558566,0.2687396,0.2611545,0.2757347,0.30867738,0.35026753,0.3828446,0.39260697,0.37696847,0.34789142,0.31900093,0.29829672,0.28511605,0.27612066,0.26781008,0.25883752,0.24875392,0.23831028,0.2281962,0.2189775,0.2111236,0.20450586,0.19930302,0.19490123,0.19142027,0.18834679,0.1856335,0.18285108,0.17996718,0.17721029,0.17474538,0.17275108,0.17074464,0.16828829,0.16489273,0.16092785,0.1573383,0.15528671,0.15569651,0.15954338,0.16829036,0.18288486,0.20167552,0.21955241,0.23054446,0.23265517,0.22964557,0.22799408,0.2307179,0.23527126,0.23590164,0.22890185,0.21501894,0.19857065,0.18450254,0.17562222,0.17218828,0.17271833,0.17525412,0.17739148,0.17662753,0.17190748,0.16492821,0.15888755,0.15553558,0.15365793,0.15103193,0.14690812,0.14265384,0.14013143,0.14007688,0.14173166,0.14317001,0.14198947,0.1363328,0.12599276,0.11314413,0.101337284,0.09438345,0.09463274,0.102344416,0.11463615,0.12648518,0.13278931,0.13145842,0.12426413,0.11571759,0.10999981,0.108991586,0.111465156,0.115216576,0.11859119,0.1213318,0.12298128,0.12227168,0.11769215,0.10896156,0.09750053,0.085286885,0.07365501,0.06278277,0.05260178,0.043427285,0.03599925,0.030668626,0.027128935,0.024661146,0.022744803,0.021189116,0.020012608,0.019157588,0.01849868,0.017879115,0.017284945,0.016843313,0.016861351,0.017734237,0.01988299,0.023626732,0.029165193,0.036623925,0.046119895,0.057644945,0.07092139,0.085377336,0.10026559,0.11418288,0.12489156,0.1306303,0.13461204,0.14708126,0.18107565,0.24036483,0.31210613,0.37139928,0.3972802,0.38606694,0.35149422,0.31465128,0.29106995,0.28723988,0.3004628,0.3235846,0.3460662,0.35883132,0.35719374,0.3417634,0.31620476,0.28420073,0.25224915,0.22853585,0.22114891,0.23053038,0.24923472,0.2671453,0.27952603,0.2904767,0.3067561,0.3308296,0.35659575,0.37509993,0.38121438,0.37661943,0.36680678,0.3563108,0.34742066,0.33921126,0.32973638,0.3171754,0.3036758,0.29385933,0.29324883,0.30370858,0.3239498,0.348608,0.3709507,0.3841289,0.38467786,0.37133756,0.34478477,0.30786678,0.2699042,0.24325664,0.23601697,0.24343514,0.25395688,0.25905275,0.26046422,0.26487494,0.27651867,0.29502788,0.31754184,0.34174183,0.36433068,0.3816085,0.39067575,0.39210248,0.38918746,0.38417912,0.37624624,0.36141956,0.3394481,0.3157973,0.30211568,0.30578223,0.32570007,0.3511732,0.37112603,0.3797995,0.37890837,0.37432578,0.37256458,0.37809956,0.39222512,0.41223344,0.43287656,0.44836566,0.456347,0.45881402,0.46068835,0.46521482,0.47180519,0.4764794,0.47519454,0.4655733,0.44772795,0.4230257,0.39373335,0.3620247,0.32964572,0.2969115,0.26327327,0.22899121,0.1968532,0.17124967,0.15527128,0.14870335,0.14887828,0.1529577,0.15933804,0.16727251,0.17602663,0.18450259,0.19173346,0.19728798,0.20128481,0.20378065,0.20438989,0.20206176,0.1956106,0.18439724,0.16942906,0.15322685,0.138976,0.12859207,0.122402884,0.119436026,0.11915066,0.12152853,0.12704945,0.13536906,0.1453684,0.15530032,0.16395669,0.1732883,0.18914734,0.22049133,0.26795998,0.32068884,0.35655943,0.36352447,0.34466636,0.31829607,0.29763553,0.28670144,0.28020144,0.27351528,0.26512906,0.2567552,0.25062123,0.24726224,0.24547881,0.2434835,0.24096756,0.23874772,0.23778659,0.23785932,0.23798619,0.23718405,0.23510276,0.23190403,0.22789164,0.22322951,0.21749406,0.20838244,0.19233485,0.16635342,0.13256718,0.097592175,0.06983484,0.053335633,0.04739046,0.048047017,0.051766124,0.055935044,0.05900463,0.06117632,0.06632254,0.08327859,0.12204214,0.18782897,0.27222645,0.35463807,0.40971527,0.42458585,0.40426686,0.36701187,0.33052078,0.30609283,0.30086163,0.3162341,0.34524655,0.37012112,0.3762493,0.3611529,0.3368275,0.3155789,0.3023949,0.29427096,0.28789333,0.28313744,0.2821001,0.28550422,0.2916051,0.297358,0.30107284,0.30267155,0.3030866,0.30230486,0.2997024,0.29462194,0.2882955,0.2835411,0.28384557,0.29005742,0.29935205,0.3064133,0.3076111,0.30333576,0.2965095,0.28978598,0.2838901,0.27944982,0.2773292,0.2782003,0.28041005,0.28110614,0.27770653,0.26948452,0.2565366,0.24012278,0.22410107,0.21544896,0.22067434,0.2396711,0.26473415,0.28448114,0.29207733,0.28706917,0.27524644,0.26308218,0.25877428,0.26861635,0.29859427,0.3421634,0.38401923,0.39991975,0.38224745,0.33893207,0.29442883,0.26367006,0.2507027,0.24709074,0.2453832,0.24139868,0.23556352,0.23039703,0.22825365,0.23054723,0.23650652,0.24429198,0.25078723,0.25347093,0.25102052,0.244707,0.23696567,0.23028095,0.22548567,0.22256674,0.220708,0.21871905,0.21307373,0.19913249,0.17302106,0.13669732,0.09705786,0.063116685,0.03971843,0.026934631,0.021376332,0.019598985,0.019013083,0.018066471,0.016156504,0.013529935,0.012473245,0.019024458,0.04390554,0.096304,0.17280865,0.2525712,0.3075454,0.32323936,0.3063176,0.27809688,0.2572223,0.25547567,0.27396706,0.3049098,0.3300654,0.33349597,0.31246486,0.28081647,0.25512165,0.24280798,0.23969759,0.23835693,0.23441334,0.2287531,0.22443958,0.22411026,0.22761208,0.23305935,0.23812415,0.24175982,0.24352019,0.24350454,0.24165864,0.23845832,0.23438565,0.23008443,0.22598441,0.22238947,0.21929848,0.21518731,0.20700468,0.19126429,0.16890211,0.14803599,0.14193773,0.16012977,0.1999255,0.24687152,0.284158,0.30422387,0.31091452,0.31292334,0.31495562,0.3158907,0.31358805,0.30859414,0.30379608,0.29975644,0.29490486,0.28671858,0.27516112,0.2608715,0.24469315,0.22855987,0.21837115,0.22478546,0.25351277,0.2983859,0.33829308,0.35509124,0.34518945,0.32328913,0.3055606,0.29873323,0.29846787,0.2979833,0.29412612,0.2873693,0.27931568,0.2703878,0.26014113,0.2481068,0.23495318,0.22211699,0.21105556,0.2020746,0.19456814,0.18755256,0.18060029,0.17351621,0.16668813,0.16091894,0.15829265,0.15907471,0.16052411,0.155882,0.14166127,0.12139833,0.1062921,0.10599304,0.122178346,0.14726277,0.17093582,0.18619247,0.19215125,0.19164771,0.18868023,0.18588276,0.18781699,0.20098992,0.23314805,0.2803998,0.32677594,0.34869656,0.33879718,0.30793798,0.28040493,0.27190232,0.28691956,0.31836832,0.35313022,0.37429354,0.3687866,0.33845472,0.2985346,0.2678211,0.25359872,0.25220537,0.254431,0.25442815,0.24997759,0.24195172,0.23162676,0.22050561,0.20975967,0.20070066,0.19451399,0.19199441,0.19307752,0.19678645,0.20168994,0.20644414,0.21029456,0.21294524,0.21463889,0.21583635,0.21680175,0.21593441,0.20959927,0.19328608,0.16592322,0.13151835,0.09902818,0.07682557,0.06863747,0.07069246,0.0750161,0.07445713,0.067250706,0.057001952,0.049338456,0.047885716,0.052298885,0.05885334,0.06299342,0.061834645,0.05533993,0.04561743,0.035372417,0.026646473,0.022829572,0.031218523,0.06441298,0.12895471,0.21467026,0.29130602,0.33042562,0.32515156,0.2950056,0.26532677,0.24919349,0.2438664,0.24110715,0.23622037,0.23009004,0.2260075,0.2262858,0.23040842,0.23603213,0.24064177,0.24299335,0.24296455,0.24113287,0.2382884,0.23525457,0.23258036,0.2303443,0.22849125,0.22685242,0.2252055,0.22102712,0.20996845,0.18695241,0.15213563,0.111253746,0.07382047,0.046158146,0.02964132,0.021604821,0.018611921,0.017848667,0.017094798,0.015173695,0.011990424,0.009007964,0.011516054,0.029350271,0.07563379,0.15122287,0.23950858,0.30669954,0.3317211,0.31536165,0.28270814,0.25758454,0.25505587,0.27675357,0.31278968,0.3450806,0.35310027,0.3331247,0.29665616,0.26501366,0.24770527,0.24443704,0.24905698,0.26007232,0.2775074,0.29954073,0.320734,0.3350779,0.338733,0.33145735,0.31670114,0.30199334,0.29497615,0.29958215,0.3121806,0.3257484,0.33370098,0.33394766,0.32681063,0.3149419,0.30179885,0.29219165,0.28863648,0.2904671,0.2929289,0.29203174,0.28650245,0.2796897,0.2756844,0.27692035,0.2818066,0.286607,0.28793168,0.28503165,0.27985907,0.27540386,0.27383935,0.27541423,0.27840912,0.27961287,0.27515814,0.26205954,0.24041314,0.21450788,0.19352822,0.18888795,0.21086566,0.26031312,0.3248946,0.38243124,0.41471338,0.41951063,0.40859163,0.3965039,0.38800827,0.3794315,0.36505058,0.34485045,0.32417643,0.30887648,0.3008944,0.29774895,0.29725698,0.29928863,0.3049765,0.31202582,0.3152674,0.30907682,0.29304135,0.27240384,0.25573924,0.24820407,0.24840419,0.25062457,0.25101736,0.25184834,0.25824884,0.27245882,0.28780255,0.29124555,0.27211243,0.23258273,0.18888031,0.15857206,0.14728682,0.14637186,0.14607227,0.14642884,0.1542476,0.17458588,0.20488043,0.24338102,0.28607488,0.32766077,0.35402688,0.3583022,0.3427465,0.32159817,0.30545762,0.30082563,0.31109676,0.335202,0.3642967,0.37985894,0.37224206,0.345453,0.31712797,0.29809543,0.28918493,0.28308448,0.2749348,0.26374865,0.25131193,0.23985012,0.23120444,0.22625518,0.22457941,0.22512086,0.22699499,0.23035358,0.23532695,0.24158226,0.24737203,0.25168857,0.25507605,0.26034367,0.26921573,0.28076935,0.290195,0.29264572,0.2850705,0.2695181,0.25067076,0.23481025,0.22526206,0.2222182,0.22239904,0.22191106,0.2177295,0.20884323,0.19679993,0.18525244,0.1792805,0.18195355,0.19284917,0.20679492,0.21728343,0.21842869,0.20828228,0.18862717,0.16433866,0.14114712,0.12648351,0.13078146,0.16424082,0.22458063,0.29157576,0.33528695,0.34125975,0.31808844,0.29000375,0.2727709,0.2691076,0.27155656,0.27449438,0.2752329,0.2745916,0.27412114,0.27612326,0.28328535,0.2995433,0.32946238,0.3720506,0.41516018,0.4371325,0.42273876,0.37649772,0.32072374,0.27764657,0.25463936,0.24558248,0.24095021,0.23664092,0.23249465,0.229546,0.22592129,0.2195006,0.21076055,0.20741506,0.22133136,0.2573792,0.30318388,0.33091652,0.31821418,0.26540753,0.19562586,0.1379276,0.112131596,0.12875004,0.18373096,0.2600321,0.32447657,0.35340813,0.34232584,0.3110745,0.28073347,0.26579967,0.27250847,0.29970184,0.3381392,0.36699188,0.372862,0.35490486,0.32897297,0.3092155,0.30536732,0.3217447,0.3557768,0.39417347,0.4123691,0.39602518,0.35083047,0.3017784,0.2719443,0.27312946,0.3068267,0.36183873,0.41612992,0.4382842,0.4155325,0.3593259,0.30202207,0.26782116,0.26618728,0.293308,0.33584717,0.3728977,0.37861207,0.34491262,0.28439978,0.22660218,0.19248897,0.19172148,0.2229188,0.27741727,0.33703896,0.3765844,0.38270092,0.359005,0.32543242,0.29876316,0.29132736,0.30733296,0.34328178,0.38245782,0.40166748,0.38827506,0.3489124,0.30496636,0.27612972,0.27512753,0.30345964,0.3513856,0.3963189,0.41530725,0.40018418,0.36264434,0.32215202,0.28994823,0.26546046,0.24167491,0.21290006,0.17712234,0.13677987,0.09759136,0.065786175,0.04478779,0.033960946,0.030661538,0.03287676,0.04037379,0.053746473,0.07230583,0.093161084,0.11170707,0.12538083,0.13470455,0.14399604,0.15677358,0.1769303,0.20586054,0.24429749,0.28663668,0.3245519,0.3484274,0.35566947,0.34985533,0.33980176,0.3327727,0.33192316,0.33485344,0.33699968,0.3347999,0.32800588,0.3190663,0.31127492,0.307417,0.30831423,0.31192604,0.3114327,0.29778436,0.26513353,0.21756132,0.16753985,0.12862895,0.10816165,0.107925124,0.126915,0.16142742,0.20168817,0.23457225,0.25132287,0.25382534,0.2510997,0.25087765,0.25441816,0.25830314,0.25927863,0.2568973,0.25319472,0.25074017,0.25082377,0.2520002,0.24992006,0.24006163,0.2225433,0.20436972,0.19518374,0.19886674,0.21043943,0.2204991,0.22460459,0.2275225,0.24238968,0.282161,0.34913215,0.42879257,0.49674287,0.5359977,0.5466981,0.54290944,0.53943807,0.5457597,0.56375784,0.5864602,0.5994949,0.58858776,0.5532221,0.50671816,0.46793714,0.44858077,0.45270288,0.47912169,0.5192773,0.55703163,0.5730881,0.561613,0.5323841,0.50495166,0.4922552,0.49739727,0.51557726,0.5373914,0.5509703,0.545542,0.52075404,0.4871228,0.4596782,0.44636437,0.44512996,0.44768488,0.44441876,0.42785165,0.39471018,0.34853497,0.2984805,0.25417346,0.22110493,0.19934948,0.18753207,0.18471317,0.19125444,0.20576413,0.22374572,0.23725162,0.23802768,0.22246037,0.19505487,0.16717254,0.15070885,0.15118052,0.16597158,0.1868432,0.2056023,0.21705566,0.22066851,0.21909481,0.21644062,0.2160606,0.21939309,0.22559726,0.23201801,0.23576023,0.23521131,0.23119599,0.2259726,0.22218199,0.22144528,0.22450916,0.23080456,0.23824131,0.24312031,0.24149805,0.2311676,0.21258663,0.188224,0.16094677,0.13327168,0.107433416,0.085900515,0.07099536,0.06403146,0.064279765,0.06894961,0.0743491,0.0783977,0.08327458,0.09565103,0.12227574,0.16327119,0.20848997,0.24306883,0.25725994,0.25427097,0.24601513,0.24376585,0.24930233,0.25713024,0.26086777,0.25924167,0.2550955,0.2517978,0.2506099,0.25097057,0.25234532,0.25479785,0.25835457,0.2617412,0.26286206,0.26061878,0.2564293,0.25347164,0.25418246,0.2583576,0.26342276,0.26616848,0.26418832,0.25594208,0.24112135,0.22100176,0.19931109,0.18049175,0.16767167,0.1607464,0.15748842,0.15589596,0.1558609,0.15896958,0.1664082,0.17769511,0.19027705,0.20044543,0.20447125,0.20009945,0.18783487,0.17027296,0.15030229,0.1300283,0.11247631,0.10262787,0.104985826,0.11873976,0.13631652,0.14791618,0.14816816,0.13900585,0.12654038,0.11572593,0.10766999,0.10095512,0.094518326,0.08843565,0.08319401,0.07849589,0.0737847,0.06843028,0.062350363,0.05569105,0.049316794,0.044002745,0.040068485,0.036719203,0.033055104,0.028678274,0.024148514,0.020213962,0.017397258,0.015693413,0.014817118,0.014272039,0.01355173,0.012358707,0.010851891,0.009627891,0.009317838,0.010197009,0.012004707,0.014222627,0.016354995,0.018156746,0.019556636,0.020602895,0.021339202,0.021835787,0.022171708,0.022541488,0.023231564,0.024503246,0.026603943,0.030195905,0.037012,0.049796868,0.07066036,0.09977585,0.13391776,0.16860612,0.19883771,0.2227629,0.24021603,0.25277546,0.26009473,0.2612158,0.25544947,0.24450094,0.23140295,0.21892308,0.20862533,0.2008727,0.19518305,0.19019108,0.18460828,0.17917645,0.17786646,0.18555433,0.20324802,0.22485174,0.24090542,0.24490245,0.23928528,0.23210649,0.23162943,0.2387666,0.24819033,0.25252613,0.24872611,0.2414393,0.24063446,0.2592384,0.30088744,0.3557979,0.3979944,0.40617397,0.3763063,0.3274435,0.28271,0.25562856,0.24536783,0.24511516,0.24889986,0.25299907,0.25549886,0.25566712,0.25488102,0.2549497,0.2567946,0.25892454,0.25901923,0.25532562,0.24809746,0.23870243,0.22852355,0.2178758,0.20680559,0.19594498,0.18747032,0.18279243,0.18137634,0.17928618,0.17284048,0.15996213,0.14171715,0.11986447,0.096718825,0.07478876,0.05680406,0.044334654,0.036877472,0.032624315,0.029767746,0.027468285,0.028843895,0.042415112,0.082568265,0.15417494,0.24450116,0.31987384,0.354445,0.34418717,0.31122437,0.27972725,0.2651126,0.27419865,0.30455258,0.34510016,0.37048626,0.364864,0.3288779,0.28558007,0.25410312,0.24194632,0.24210303,0.24643238,0.24984731,0.25128976,0.25112203,0.25006887,0.24861966,0.2467416,0.24399288,0.24006881,0.23512043,0.22970027,0.22427942,0.21911436,0.21427502,0.21004675,0.20694087,0.20516013,0.20364557,0.19876714,0.18628712,0.16484219,0.14133681,0.12819631,0.13630338,0.16495025,0.20271914,0.23512308,0.25470388,0.26205078,0.26081762,0.25235865,0.23602097,0.21217544,0.18345477,0.15298419,0.12275279,0.094139,0.06898738,0.049335897,0.0361103,0.028618438,0.026685284,0.035022672,0.064999886,0.12837146,0.22095364,0.31716505,0.38042727,0.39352337,0.36687705,0.33010837,0.3035212,0.29212633,0.28866327,0.28707728,0.28443334,0.28098735,0.27755007,0.2750127,0.2750202,0.2810403,0.29919365,0.33200705,0.37278625,0.40357354,0.40835953,0.38456652,0.3465009,0.311919,0.29043445,0.2800463,0.27419356,0.26763391,0.2588226,0.24815442,0.23712786,0.2269882,0.2186355,0.2114154,0.20305644,0.19048448,0.171874,0.14859979,0.124210715,0.10218549,0.083571576,0.0700426,0.0680939,0.090902574,0.14747655,0.23001908,0.31009623,0.35706457,0.3596916,0.33160314,0.2977663,0.277416,0.2826667,0.31476,0.36366665,0.40429363,0.4155273,0.39468122,0.3607711,0.33454072,0.32370237,0.3228929,0.32382837,0.32245865,0.3183346,0.31256974,0.30618384,0.30024827,0.29601216,0.29526046,0.29929382,0.30742988,0.3163383,0.32198182,0.32265142,0.31953457,0.31516016,0.31066307,0.30661413,0.30393517,0.3043147,0.30671617,0.30611885,0.2959415,0.27485478,0.24918301,0.22926211,0.22108586,0.22343822,0.23032202,0.23718934,0.2426526,0.24862282,0.25717947,0.27012917,0.28627643,0.3024027,0.313195,0.31446972,0.30486557,0.2873249,0.2684121,0.25523517,0.25221682,0.2614068,0.28381306,0.3218865,0.3713465,0.4206055,0.4507736,0.45361772,0.43384016,0.4077103,0.38597968,0.37128225,0.35983753,0.34899542,0.33868936,0.3297753,0.32332823,0.31973144,0.3194027,0.32177067,0.32562986,0.32889292,0.3293146,0.32483378,0.3151311,0.30207315,0.28922328,0.2788497,0.27103415,0.2647351,0.2608668,0.261348,0.2663926,0.27147356,0.27009305,0.25714448,0.23350723,0.2057242,0.18472387,0.17793548,0.1838492,0.19061196,0.18691806,0.1712305,0.15421782,0.1497708,0.16751514,0.21020341,0.27206776,0.3377609,0.38411462,0.3944397,0.3696947,0.32845,0.29250917,0.2760136,0.28587174,0.32104114,0.37044492,0.41055632,0.421422,0.40103522,0.36721662,0.33973503,0.32576188,0.32057798,0.31690526,0.31186533,0.3052608,0.298107,0.2911471,0.28604272,0.2835336,0.2832094,0.28242877,0.27878633,0.27111614,0.2609926,0.25132036,0.24486081,0.24252363,0.24330956,0.24561268,0.24845712,0.2509888,0.25140995,0.2466288,0.235286,0.21923758,0.20340098,0.19157054,0.1842869,0.17907839,0.17299944,0.16472094,0.15394461,0.14104699,0.1258681,0.10911104,0.09260276,0.079654284,0.07341651,0.07465193,0.08125808,0.088515095,0.092321225,0.090164445,0.08336381,0.078882106,0.09038627,0.13369578,0.21033573,0.2996761,0.36394575,0.37923852,0.34982657,0.30507222,0.27072927,0.2560297,0.2547015,0.25796774,0.26094064,0.26225296,0.2624406,0.26174852,0.26168528,0.26586914,0.28143883,0.31290233,0.35350823,0.38337657,0.38165626,0.34535977,0.29187748,0.2464223,0.22201198,0.21655186,0.21837097,0.21690513,0.20564646,0.18429886,0.1574394,0.13209791,0.11294564,0.09995568,0.089981236,0.080180086,0.07034769,0.06165834,0.05487813,0.049095858,0.043070477,0.038349282,0.042044222,0.06663841,0.12048465,0.19677477,0.26988718,0.31115866,0.30900547,0.2758189,0.23643655,0.21213709,0.2163365,0.25130054,0.30611405,0.35500994,0.37337992,0.35510382,0.3169928,0.2822169,0.26309666,0.25770405,0.25865698,0.26055932,0.26190722,0.26233205,0.26205638,0.26069224,0.2609649,0.26865456,0.29349372,0.33540177,0.38104543,0.4029044,0.38581732,0.33517352,0.27813724,0.23715396,0.22026603,0.21913826,0.22068614,0.21365224,0.19292237,0.16371424,0.14092131,0.14211708,0.17496829,0.2304511,0.28822392,0.32906267,0.34602404,0.34447822,0.3356539,0.32772747,0.32307968,0.322227,0.32877657,0.350629,0.38788566,0.42702106,0.44177604,0.4172579,0.36107662,0.30174413,0.26615432,0.26619533,0.30015123,0.3536055,0.4062828,0.43092766,0.41618085,0.36970827,0.31924006,0.28567088,0.2756854,0.28073478,0.29085886,0.2998594,0.3059542,0.30907682,0.30886862,0.3054115,0.30198038,0.30641177,0.32697287,0.36010262,0.38815856,0.38845685,0.35647705,0.3078253,0.26711187,0.2447899,0.23692696,0.2329448,0.22765398,0.22118972,0.21617712,0.21530066,0.2192387,0.22681193,0.23428662,0.23805217,0.23507051,0.22410543,0.20652469,0.18762164,0.17502691,0.17372973,0.18357581,0.20292968,0.23479033,0.2822962,0.3385425,0.38161394,0.39060447,0.3626776,0.316438,0.27601805,0.2571126,0.2656585,0.29790673,0.3402944,0.36878824,0.36499992,0.32923183,0.28169563,0.24441028,0.22652455,0.2234612,0.22584324,0.2274778,0.22625142,0.2229086,0.21903284,0.21586055,0.21640284,0.22653419,0.25602973,0.3051817,0.35911036,0.38721636,0.37048247,0.31391868,0.24701323,0.19724815,0.17722468,0.18317598,0.2035449,0.22411348,0.23165081,0.2225904,0.20443219,0.1904503,0.1891901,0.20538843,0.2437933,0.30408886,0.3704615,0.41140732,0.4038398,0.3511093,0.28155908,0.22546314,0.20152861,0.21816826,0.27045128,0.33846107,0.38525295,0.38601568,0.3411434,0.27910343,0.22996826,0.2142206,0.23956414,0.2962403,0.35808215,0.3865935,0.3647522,0.30398685,0.24033333,0.19837405,0.18302643,0.18097965,0.18021852,0.17517559,0.16737263,0.1595633,0.15359958,0.14949374,0.14667034,0.14466508,0.14370859,0.14416434,0.14602827,0.14802212,0.1481333,0.1445837,0.13762416,0.12920024,0.121804364,0.116615735,0.11345664,0.11145416,0.10987846,0.10836891,0.10676572,0.10512944,0.103551835,0.102197655,0.10111617,0.100299746,0.09960129,0.098756485,0.09745849,0.09551398,0.09309708,0.09066636,0.08879793,0.087766886,0.087512426,0.08770636,0.08803362,0.088238895,0.08804691,0.087145366,0.085295714,0.08266047,0.07975114,0.07727427,0.07560641,0.07473388,0.07423697,0.07371568,0.07290637,0.07181315,0.07053667,0.0691948,0.067852594,0.06656215,0.066061504,0.06886936,0.079648994,0.10289366,0.13848424,0.18044966,0.2189266,0.24616544,0.25700855,0.25149536,0.23415177,0.21674554,0.21138786,0.22392409,0.2487505,0.27471936,0.29234457,0.29812106,0.292056,0.27503943,0.24727236,0.21031062,0.16886187,0.13214277,0.11155567,0.11499361,0.14154653,0.18014336,0.21628599,0.23968498,0.24892223,0.24808441,0.24199323,0.23333223,0.22321928,0.21232378,0.201357,0.19195168,0.18634628,0.18590742,0.19068451,0.20194475,0.22629106,0.26849797,0.32411328,0.37263402,0.39548448,0.38662198,0.36044812,0.33340612,0.31622088,0.30800566,0.3050152,0.3029852,0.3001964,0.29594743,0.29108298,0.28626153,0.2821481,0.27850485,0.27535415,0.27242315,0.26966366,0.26672587,0.2636258,0.2606958,0.25857934,0.2578298,0.2580684,0.25747633,0.25152078,0.23509824,0.20499063,0.16452892,0.12165,0.08549518,0.060238436,0.045219664,0.036835726,0.031939473,0.028520772,0.02536234,0.022039285,0.018652858,0.01670613,0.02180414,0.04488491,0.0986887,0.18070583,0.26775703,0.3216401,0.32275984,0.27931413,0.22378194,0.18327035,0.17376022,0.19799638,0.2484564,0.30403522,0.33671293,0.3324809,0.30031613,0.26510534,0.24430545,0.24027175,0.24469931,0.2501488,0.25378203,0.2554015,0.2555517,0.25421664,0.2538823,0.25985894,0.28109214,0.31877196,0.36185375,0.38578272,0.3746557,0.33115065,0.27829775,0.23756127,0.21785985,0.21358855,0.2137764,0.20902108,0.19382347,0.16944154,0.14150102,0.11733031,0.099814236,0.08743262,0.07679216,0.0664058,0.057060163,0.049449265,0.043111414,0.036581162,0.030086474,0.029041722,0.045021664,0.09231245,0.17111571,0.2608596,0.32310805,0.33391616,0.2965512,0.24135101,0.19764234,0.18378918,0.20487736,0.25393286,0.31146547,0.3481088,0.3480587,0.3168712,0.27954254,0.25453696,0.24654825,0.24768525,0.25069165,0.2521888,0.2521216,0.2509673,0.24902941,0.24847297,0.2544746,0.2754663,0.31367096,0.35851297,0.38588038,0.37726948,0.3338529,0.27792963,0.23355676,0.2115407,0.2072388,0.20879303,0.20513834,0.18892361,0.15954964,0.12264926,0.087515146,0.06322273,0.058721762,0.08464349,0.14545436,0.2291723,0.30380353,0.33777508,0.32185885,0.2747856,0.22688289,0.20138545,0.211739,0.25559813,0.31645617,0.3607184,0.36486468,0.32713306,0.27207467,0.22512604,0.20198154,0.20797382,0.23991108,0.28631103,0.32294565,0.33263025,0.3130221,0.28231677,0.2573329,0.2457814,0.24305813,0.24339212,0.24329281,0.24239711,0.24084432,0.23882443,0.23644541,0.23401265,0.23164804,0.22933875,0.2267505,0.22361606,0.2196433,0.21486,0.2093883,0.20375754,0.19831572,0.19346248,0.1890163,0.18491928,0.1807367,0.17647178,0.171888,0.16716756,0.16220067,0.15719509,0.1521464,0.14730702,0.14269155,0.13837832,0.1342303,0.1301897,0.12613842,0.12200304,0.11767127,0.113083415,0.1083897,0.10393286,0.100093454,0.09684753,0.093755186,0.09017391,0.08581245,0.08081022,0.07561827,0.07061584,0.0660337,0.06192112,0.05823158,0.054827433,0.05154785,0.048298854,0.045099396,0.04204231,0.039187223,0.03649908,0.033889543,0.031290885,0.028723732,0.026238523,0.02386945,0.021590112,0.019380143,0.017259624,0.015291399,0.013527391,0.011976912,0.010620416,0.009421312,0.008339103,0.0073194928,0.006320479,0.005329028,0.004376845,0.003516332,0.002791411,0.0022119752,0.0017514443,0.0013681395,0.0010304459,0.00074009976,0.00052730663,0.00043344774]