[0.07309726,0.077417724,0.087997496,0.104201935,0.12326608,0.14204049,0.15763046,0.17006053,0.18095154,0.19294865,0.20746563,0.22437388,0.24165714,0.2563907,0.26590082,0.26906046,0.26671377,0.26128992,0.2554874,0.25088313,0.24740808,0.24411815,0.24083965,0.2385252,0.23860335,0.24139129,0.24607222,0.25115418,0.25527087,0.2568904,0.2540097,0.24458033,0.22777946,0.20531327,0.1811459,0.15977816,0.1439649,0.13417472,0.1303096,0.1343915,0.1504069,0.1803072,0.21945588,0.25755617,0.28528905,0.30047023,0.3075142,0.3118267,0.31509578,0.3149533,0.3074799,0.2894287,0.2605585,0.2238551,0.1855701,0.15171976,0.12650956,0.110334165,0.10112977,0.094926566,0.088243954,0.07981474,0.07221907,0.069998644,0.07617378,0.0887506,0.101724975,0.10904145,0.10921264,0.10609407,0.10574392,0.1120209,0.12443774,0.13948858,0.15332747,0.16324103,0.16783118,0.1669557,0.16285855,0.16115476,0.16794927,0.18556918,0.20780553,0.225033,0.23036735,0.22678207,0.22214939,0.22339618,0.23028274,0.23818792,0.24236642,0.24188311,0.23844153,0.23332036,0.22617264,0.21618968,0.20443554,0.19255792,0.18134832,0.16978407,0.15715945,0.14424084,0.13277896,0.124070756,0.11827684,0.115128346,0.11436642,0.11559654,0.11783937,0.11943177,0.118918814,0.11556917,0.10974861,0.10245707,0.09488642,0.087972134,0.082054496,0.07743344,0.07516722,0.07802215,0.08918032,0.10963237,0.13566314,0.16011886,0.17656119,0.18308216,0.18232656,0.1784875,0.1745553,0.17166662,0.1697244,0.16832967,0.16688031,0.16524066,0.16343676,0.1620598,0.16129377,0.16114648,0.16085808,0.1598597,0.15777707,0.15513009,0.15262985,0.15093024,0.15001799,0.14951783,0.1490019,0.14825796,0.14718713,0.14566895,0.14373316,0.14174722,0.14015697,0.13909782,0.13815713,0.1370581,0.13585323,0.13494997,0.13431974,0.1337018,0.1328416,0.13204093,0.13151468,0.1311736,0.13034777,0.12874007,0.12645082,0.1241118,0.12218995,0.121090144,0.12100684,0.12200243,0.12359289,0.124928236,0.12489864,0.12307361,0.11968827,0.115868635,0.11321444,0.11421304,0.12219522,0.13905974,0.16299911,0.18704821,0.20378093,0.20852882,0.2014833,0.1837185,0.15671563,0.12296719,0.08851579,0.060503483,0.04436585,0.041878562,0.052751582,0.074571095,0.10219165,0.12762602,0.14337845,0.14632896,0.13853143,0.12562849,0.113037325,0.10454077,0.10070821,0.100203834,0.10020292,0.09782943,0.09049528,0.077382006,0.06085517,0.04764012,0.046590324,0.064736865,0.101473875,0.14854275,0.19340205,0.22755939,0.24920417,0.26234433,0.27135852,0.2781708,0.28204885,0.28135917,0.2760507,0.26784468,0.25978258,0.25322393,0.24675547,0.23581553,0.21677332,0.19041574,0.16388617,0.14584719,0.14106627,0.14774092,0.1613174,0.17843665,0.19792049,0.21828823,0.23657568,0.24893872,0.25300458,0.24852346,0.23784964,0.22434288,0.21143903,0.2013581,0.19506802,0.19279023,0.19357471,0.19598156,0.19796811,0.19904268,0.1996063,0.20047432,0.20114501,0.20151436,0.20332427,0.21005361,0.22330563,0.24045472,0.2557281,0.2641364,0.26409534,0.25701404,0.24530981,0.23081267,0.214875,0.19889385,0.18488689,0.1748448,0.16988714,0.16913038,0.17008518,0.16976534,0.16666968,0.16123037,0.15524273,0.15026237,0.14687668,0.1447223,0.14315297,0.14168341,0.14033568,0.13929997,0.13862944,0.13761054,0.13542317,0.13173085,0.12747347,0.1238671,0.12163272,0.120288245,0.11910471,0.11772326,0.116439484,0.11557704,0.11508543,0.11464564,0.11395518,0.1131961,0.11386719,0.11948216,0.13481005,0.16182141,0.19656162,0.22900021,0.24903113,0.25059286,0.23321937,0.19962539,0.15528002,0.1084952,0.068153255,0.04006723,0.024002684,0.016111769,0.012075316,0.009723778,0.008342898,0.007813696,0.007935502,0.008467549,0.009029955,0.009115673,0.008298554,0.006609399,0.004532199,0.0028158457,0.0024073885,0.004912161,0.012755372,0.0278985,0.04994577,0.0749416,0.098073214,0.11634868,0.13055384,0.14159046,0.14870013,0.14899741,0.14196827,0.13061468,0.12067071,0.11755294,0.12551045,0.14703254,0.18045394,0.21898544,0.2525991,0.27523446,0.28686777,0.29118958,0.28807238,0.27366078,0.24552871,0.20996995,0.17988046,0.16579999,0.16731812,0.17423958,0.17566256,0.16816981,0.1563919,0.14748089,0.14531319,0.1493818,0.15727359,0.16890581,0.18727362,0.21492012,0.2492802,0.282025,0.30484316,0.31385103,0.31028876,0.2970564,0.27764508,0.25653157,0.23830156,0.22559297,0.21784256,0.2127405,0.20799154,0.20196676,0.1942039,0.18544392,0.17793699,0.1743489,0.1767568,0.18495812,0.19622773,0.20568429,0.20923285,0.20500602,0.19454771,0.18056299,0.16584055,0.15168606,0.1387484,0.12741034,0.11839339,0.111992545,0.10777336,0.10472327,0.1027265,0.10224102,0.103879064,0.10646527,0.108481966,0.10847966,0.107029445,0.105048485,0.10374516,0.1032219,0.10341236,0.10379624,0.10400868,0.10369182,0.10280978,0.10160024,0.100334026,0.09918099,0.09837464,0.09931043,0.10511073,0.11971074,0.14431052,0.17487305,0.20285402,0.22020972,0.22283621,0.21061261,0.1849776,0.14868519,0.10732395,0.06880389,0.039963022,0.022812963,0.014746352,0.011430421,0.009731568,0.008364181,0.0071925274,0.006416635,0.006160092,0.006294588,0.0064563104,0.006283846,0.005685031,0.0048892647,0.0042070197,0.004202954,0.005891794,0.011394295,0.022492506,0.03968711,0.05983432,0.07793065,0.08812613,0.087901026,0.07855571,0.066313915,0.059036892,0.06344365,0.081681974,0.111955464,0.15079756,0.19469686,0.23937123,0.27858472,0.30686107,0.3217983,0.32413384,0.31318286,0.2864558,0.24358988,0.1918506,0.14479677,0.11584911,0.11162976,0.12963854,0.15956627,0.18699509,0.19960509,0.19331211,0.17537715,0.16040099,0.1627401,0.18768354,0.22889991,0.27168265,0.3028504,0.31744304,0.3194169,0.31494308,0.30675858,0.2933245,0.2727714,0.2471344,0.22300349,0.20808505,0.20645712,0.21593754,0.23029466,0.24290816,0.2505846,0.25369063,0.25553727,0.25972626,0.26860067,0.28176376,0.29702035,0.3115835,0.32347754,0.3310882,0.33313525,0.32841173,0.31688938,0.29926512,0.27736267,0.253068,0.22924785,0.20797376,0.1911062,0.17804061,0.1678494,0.15829818,0.14891241,0.13984667,0.13288844,0.12888964,0.12764066,0.12766576,0.12755115,0.12669887,0.12503958,0.122915365,0.12042123,0.11791929,0.11562886,0.11401866,0.11311372,0.11283452,0.112761326,0.112644516,0.112049244,0.11093845,0.11009863,0.11252282,0.121293016,0.13738583,0.15629135,0.17156833,0.17775804,0.17405887,0.1612352,0.14070828,0.11402339,0.085166276,0.05942222,0.040877525,0.030035665,0.024610067,0.021739312,0.019697212,0.017941684,0.016491959,0.015394587,0.014681079,0.014240879,0.013918386,0.013440578,0.012743387,0.011894944,0.0111808395,0.010803182,0.0110728815,0.013104162,0.019697202,0.035512045,0.064029746,0.10433749,0.14894333,0.18818621,0.2151253,0.22928762,0.2338169,0.23241784,0.2273255,0.220677,0.21468388,0.2110852,0.20954715,0.20873006,0.20739675,0.20615901,0.20633133,0.20927452,0.21478783,0.22122015,0.22533397,0.22366868,0.21409917,0.19755243,0.17796522,0.16052009,0.14886437,0.14359735,0.14258838,0.14388688,0.14813893,0.1602826,0.185143,0.22350381,0.2674304,0.30632508,0.33127394,0.34136185,0.3387934,0.32773432,0.31095138,0.29329947,0.27931213,0.2725068,0.27121973,0.2718509,0.269762,0.26357412,0.25238386,0.23791416,0.22231996,0.21101673,0.20770031,0.21402384,0.22636507,0.24063456,0.25271332,0.26091024,0.26335394,0.25922588,0.2478533,0.23040129,0.20888142,0.18771899,0.17226273,0.16774745,0.1747638,0.18864673,0.20057993,0.20351231,0.19518316,0.17949201,0.16329314,0.15388964,0.15562578,0.1682251,0.18623225,0.20193641,0.20971744,0.20894398,0.20298445,0.19607179,0.19085538,0.18821035,0.18767236,0.18798728,0.18740845,0.18467756,0.17914033,0.17057474,0.15912299,0.14682028,0.13811988,0.13781308,0.14724214,0.16286236,0.17898464,0.19141884,0.19869743,0.20045394,0.19626462,0.18637852,0.17277335,0.15861572,0.14659584,0.13802254,0.133626,0.13399172,0.13894661,0.14577813,0.14937575,0.14431535,0.12837683,0.104159616,0.0781144,0.05703086,0.045272436,0.044356357,0.055125147,0.078036495,0.111132026,0.14716516,0.17651987,0.19280706,0.19731142,0.19599743,0.19405913,0.19234568,0.18889172,0.18239732,0.17429374,0.16796978,0.16609526,0.16840006,0.17163281,0.17166896,0.1664464,0.15749325,0.14892377,0.1442616,0.14352687,0.1429951,0.13766596,0.12451243,0.10405287,0.08006154,0.05839542,0.045722947,0.04823954,0.067992434,0.10029253,0.1331124,0.15507741,0.16265778,0.16427185,0.17157401,0.19091956,0.21746488,0.24180858,0.25627208,0.26056132,0.25781962,0.2525967,0.24670537,0.24181402,0.23776238,0.2351437,0.23248322,0.2294807,0.22513603,0.22086863,0.21717376,0.21539986,0.2146049,0.21428095,0.2122911,0.20819889,0.20156242,0.19426261,0.1873251,0.1820678,0.17793638,0.17493312,0.17230952,0.17039783,0.1688359,0.16793478,0.1670206,0.16600569,0.1643582,0.16266577,0.16109282,0.16011742,0.15914786,0.15792434,0.15592729,0.15339977,0.15052508,0.14785548,0.14582175,0.14463292,0.14407851,0.14356834,0.14280571,0.14170897,0.14051022,0.13908523,0.1372087,0.13459384,0.13142742,0.1282581,0.12577565,0.1244208,0.12450719,0.12675655,0.13257337,0.14286499,0.15666759,0.17041402,0.1800706,0.18252541,0.17637724,0.16046917,0.13487844,0.102236114,0.06874617,0.04115855,0.023393845,0.014791376,0.012132625,0.012098017,0.0127764,0.013341364,0.013526312,0.013290208,0.0127537325,0.012066242,0.011235214,0.01018782,0.008933153,0.0077088065,0.006803099,0.006365724,0.006989731,0.010775008,0.022490898,0.0472744,0.087147735,0.13668166,0.18546022,0.22285171,0.24497683,0.25447384,0.25750875,0.25793207,0.25640276,0.251776,0.24443783,0.23648287,0.23019175,0.22613029,0.2233314,0.22077845,0.21854667,0.21782963,0.22009255,0.22580475,0.2335097,0.23925917,0.23816459,0.22685175,0.20640238,0.18199451,0.16023672,0.14518613,0.13769715,0.13720126,0.14511175,0.16428752,0.19670479,0.23862052,0.2813667,0.3141859,0.33094594,0.3318286,0.3220643,0.3084078,0.29630563,0.29009506,0.29017073,0.29353598,0.29268226,0.28152883,0.25820118,0.2278712,0.19877921,0.17796783,0.16797347,0.16803207,0.17795713,0.19877279,0.2302662,0.26641703,0.2976795,0.31568277,0.31813738,0.3062112,0.28229895,0.24935669,0.214209,0.18549432,0.16924517,0.1644991,0.16672105,0.17197807,0.17936395,0.18750687,0.19372888,0.19506371,0.19194448,0.18775506,0.18622874,0.18850802,0.19253224,0.1952961,0.19432133,0.18947257,0.1816894,0.17312281,0.16500653,0.15868221,0.15382878,0.15016127,0.1458826,0.14013667,0.13226348,0.1237349,0.11720216,0.116636835,0.12432239,0.13901675,0.15487212,0.16583249,0.16841435,0.16355419,0.15242589,0.13553695,0.112741135,0.08665032,0.061963096,0.043224484,0.031789053,0.026066666,0.023502937,0.022585211,0.023368629,0.0270023,0.034803793,0.047376085,0.06385368,0.082633905,0.10286662,0.1261522,0.15505831,0.19001807,0.22634786,0.25594872,0.2713108,0.2693981,0.25217345,0.22568242,0.19819547,0.17794122,0.16960542,0.17263383,0.18185835,0.1914748,0.1976736,0.19995551,0.19965751,0.1992354,0.20121044,0.2081242,0.22074968,0.23792402,0.25574544,0.27006736,0.27705708,0.27523234,0.26474595,0.24800545,0.22872703,0.21128978,0.1988567,0.19207172,0.1894838,0.18900828,0.18909198,0.18771763,0.182478,0.17242056,0.16086395,0.15464379,0.15999089,0.17841493,0.20592539,0.23529011,0.25959966,0.2748823,0.28156686,0.2828162,0.28235587,0.281938,0.28192684,0.28211066,0.28301254,0.28477105,0.2867881,0.2874759,0.28633872,0.28424028,0.28326002,0.28431606,0.2867643,0.288434,0.28733054,0.2823523,0.27351472,0.26125467,0.24599993,0.22839653,0.20969822,0.19188176,0.17656775,0.164538,0.15520923,0.1478319,0.14164037,0.13660634,0.13272811,0.13017745,0.12884104,0.12852089,0.12881933,0.12928127,0.12947287,0.1291043,0.12814672,0.12688647,0.1257794,0.12522757,0.12523693,0.12556462,0.12583981,0.12599035,0.12613021,0.12656753,0.1274854,0.12887119,0.13078745,0.1337744,0.1392474,0.1480865,0.15940149,0.16956569,0.17473383,0.17293383,0.16504657,0.15226227,0.13456763,0.11149072,0.084765024,0.058932304,0.038881052,0.026784018,0.021331383,0.019631492,0.019289488,0.019175634,0.018930115,0.01846498,0.017759627,0.01684776,0.015773479,0.014571331,0.013331111,0.012136576,0.011096272,0.0102362335,0.010343801,0.013856116,0.025685458,0.050351948,0.08802277,0.131493,0.17006755,0.1957555,0.20782566,0.21073423,0.2098667,0.208197,0.20654444,0.20512491,0.20530935,0.20914495,0.21754716,0.22854237,0.2382055,0.24350236,0.24391778,0.24105392,0.23645188,0.23128021,0.22587018,0.22029959,0.21339558,0.20379214,0.19094719,0.17665382,0.16411127,0.15581791,0.1523816,0.15367089,0.16171329,0.18118395,0.21534812,0.26089895,0.30685523,0.34159663,0.3599554,0.36557913,0.36506426,0.36246517,0.35740075,0.34821212,0.33523133,0.3219023,0.31255424,0.30932698,0.3104115,0.31187165,0.31040606,0.30541763,0.29816726,0.29059538,0.28473482,0.28280437,0.28641462,0.29501256,0.30540183,0.31322977,0.31483224,0.30843097,0.29476082,0.27779928,0.26476094,0.26259324,0.2739329,0.2937257,0.31209767,0.31879878,0.3092966,0.28577372,0.25640383,0.23076744,0.21747667,0.22229029,0.24719763,0.28918913,0.3380251,0.3809891,0.40775934,0.41862813,0.42056575,0.421857,0.4234676,0.42134023,0.41158164,0.39637566,0.38216493,0.37419868,0.37137604,0.3661199,0.35001484,0.3203552,0.2847406,0.25584456,0.24378312,0.24791694,0.25998536,0.2698512,0.27258638,0.26718214,0.25444227,0.23421572,0.20811772,0.181148,0.16207945,0.15840083,0.17183976,0.1969381,0.22474337,0.24730895,0.2595725,0.25977632,0.2500994,0.23671795,0.22657882,0.22160627,0.21767414,0.20851405,0.19269685,0.17395006,0.15813464,0.14810012,0.14424421,0.14679007,0.15954392,0.18717124,0.23008327,0.27874935,0.31863895,0.33931676,0.34181347,0.33304286,0.316727,0.28988135,0.25034517,0.2045368,0.1659738,0.1453784,0.14266567,0.14850736,0.15265124,0.15083022,0.1451972,0.13992018,0.13731264,0.13747205,0.14066228,0.14898515,0.16497146,0.18867542,0.2159341,0.24090087,0.26004472,0.27496716,0.29039836,0.30954707,0.33065614,0.34780118,0.35549116,0.35228857,0.34084988,0.3255192,0.3095232,0.29508778,0.2829368,0.27357817,0.26674488,0.26229402,0.25975683,0.258741,0.2589469,0.26028594,0.26230207,0.2641587,0.2650921,0.2653294,0.26575586,0.26670074,0.2674931,0.26718298,0.26584414,0.26458633,0.26412264,0.26434776,0.26440337,0.2640073,0.26331005,0.26242968,0.26135078,0.26008955,0.25915918,0.25894412,0.25898448,0.2581674,0.2554876,0.2511516,0.24646498,0.24253696,0.23992872,0.23829128,0.23754524,0.23750646,0.23762769,0.23709206,0.23529814,0.23281693,0.23063488,0.22935681,0.22878289,0.2284684,0.22851785,0.22928216,0.23078863,0.23299257,0.23638994,0.2419284,0.24936156,0.25593832,0.25802323,0.25344563,0.24347521,0.23089845,0.2187264,0.20914121,0.20465557,0.20701785,0.2154631,0.22475486,0.22728829,0.21765678,0.19683945,0.17166124,0.15005265,0.13623446,0.1297971,0.12838793,0.13148119,0.14077352,0.15871644,0.18441461,0.21325658,0.23794681,0.25369427,0.26014772,0.261618,0.2628301,0.2666029,0.27245334,0.27854475,0.2825577,0.28340077,0.28070533,0.27529612,0.26744735,0.25840172,0.24945147,0.2440601,0.24375142,0.2488486,0.25557756,0.26053056,0.2603213,0.25471297,0.24486394,0.23353277,0.22272676,0.21290147,0.20275839,0.19075108,0.17681445,0.16252656,0.15004325,0.1403244,0.13284485,0.12641843,0.12157262,0.122170545,0.13541682,0.16702716,0.21566187,0.2700616,0.31525892,0.34129032,0.3483428,0.3433032,0.33339858,0.3232393,0.31500402,0.31035498,0.30982903,0.3128986,0.31754717,0.32136443,0.32232475,0.31941542,0.31305233,0.30466774,0.29671487,0.29167935,0.2915255,0.29677403,0.30606976,0.31670785,0.32529038,0.33001637,0.33090106,0.33003858,0.32919392,0.32951733,0.33081135,0.33233717,0.3324448,0.3296012,0.32330513,0.31496033,0.30670848,0.30003372,0.29514256,0.291773,0.2897575,0.2889004,0.2885593,0.28813744,0.2873206,0.286334,0.2849021,0.28273436,0.27954826,0.2762504,0.27411842,0.27433145,0.27667868,0.2798324,0.28206715,0.28271988,0.2823851,0.2824625,0.2841008,0.2880387,0.2939969,0.30026093,0.3035928,0.30110738,0.29199013,0.27792203,0.26119873,0.24394459,0.22787386,0.21527664,0.20758192,0.20499317,0.20583312,0.20847915,0.21157072,0.21456356,0.21694313,0.2185712,0.21944048,0.21969621,0.21949953,0.2194921,0.22091354,0.22488654,0.23086476,0.23615234,0.23690224,0.23044002,0.21671931,0.19863647,0.18091817,0.16774632,0.160698,0.15746072,0.1538369,0.14579199,0.13176425,0.1125849,0.09132419,0.07203283,0.057966013,0.04991727,0.046089415,0.044017926,0.04232989,0.04089899,0.039724495,0.03826186,0.036116064,0.033757072,0.032256376,0.032103702,0.032533616,0.03215151,0.030141192,0.02693502,0.02381324,0.021901662,0.021493517,0.023070805,0.029921673,0.050404686,0.0941904,0.16372637,0.24699347,0.32212886,0.3704506,0.38746905,0.38192353,0.36685726,0.35156515,0.33976737,0.33151168,0.32573435,0.32100046,0.3161347,0.31031477,0.3039827,0.29826465,0.29433802,0.2922689,0.2915692,0.29135922,0.29089174,0.2892166,0.28596303,0.28146145,0.27690208,0.27341172,0.27171397,0.27168694,0.2724441,0.27275136,0.27179864,0.26974687,0.2673088,0.2652426,0.26406634,0.26412562,0.26529142,0.266672,0.26745445,0.2680915,0.27147183,0.28058186,0.2965895,0.31596288,0.3336557,0.3448229,0.34827498,0.3442209,0.33412036,0.3200843,0.3060132,0.29655877,0.29402527,0.29720116,0.30205867,0.30536643,0.30588758,0.30429962,0.30177936,0.29953673,0.298704,0.29953417,0.30088246,0.3004181,0.29636505,0.28840148,0.27757892,0.26530263,0.25355747,0.2445892,0.24028043,0.24000333,0.24111927,0.23980908,0.23330057,0.21915396,0.19678138,0.16809815,0.13936852,0.11796045,0.10987831,0.11775565,0.14219372,0.18055815,0.22544427,0.26569748,0.29251102,0.30434883,0.30569318,0.30065116,0.28920254,0.2691355,0.24090658,0.20950389,0.18174942,0.16232036,0.15167286,0.1476963,0.14789303,0.15104683,0.15627165,0.1623621,0.16743974,0.17036952,0.17123814,0.1710933,0.17051293,0.16934149,0.16716056,0.16440801,0.16222328,0.16176373,0.1628937,0.1643268,0.16427682,0.16211623,0.15834855,0.15422444,0.15039195,0.14720923,0.14652885,0.15320502,0.17522953,0.2164946,0.27230522,0.32638243,0.36324504,0.3758764,0.3708355,0.35811284,0.34497356,0.33374414,0.3248806,0.31922057,0.31579986,0.31379083,0.31143835,0.3089564,0.305244,0.3002319,0.2937082,0.28769973,0.2833624,0.28151822,0.28159747,0.28382665,0.28761944,0.29207492,0.29529968,0.29656217,0.29606804,0.29483566,0.2938018,0.29332054,0.29331616,0.29293597,0.2919781,0.29063857,0.28957978,0.2883385,0.28627774,0.28303373,0.27927467,0.27538943,0.2713882,0.26693258,0.26186618,0.2564703,0.25127587,0.24734944,0.24483626,0.24328585,0.2415812,0.23979652,0.238459,0.23800714,0.23764779,0.23633479,0.23346059,0.2297688,0.22642328,0.22489361,0.2257774,0.22976626,0.2359628,0.24262214,0.2459294,0.24395181,0.2367726,0.22749282,0.21789289,0.20810539,0.1969798,0.18494725,0.17414272,0.1667199,0.16327423,0.16265751,0.16341175,0.16452943,0.16554646,0.1660608,0.16565935,0.16412811,0.16167463,0.15883018,0.15622568,0.15422378,0.1528244,0.15170681,0.1505487,0.14912544,0.14733113,0.14499067,0.14200677,0.13846737,0.13477325,0.13131404,0.12816899,0.12511413,0.12195485,0.11881071,0.11591849,0.113304056,0.11078572,0.108209096,0.10577313,0.1037196,0.10209023,0.10040533,0.09805141,0.09461728,0.090228796,0.08537411,0.08066777,0.07666261,0.073673606,0.07167939,0.07009238,0.06804606,0.06456214,0.05909514,0.051656622,0.04518802,0.047187794,0.07042673,0.1235561,0.20311256,0.2884611,0.35602164,0.39137563,0.3980883,0.3878897,0.37271085,0.35792658,0.34527263,0.33476618,0.32682738,0.32112932,0.31687343,0.31313246,0.3099587,0.3072377,0.3043417,0.30056334,0.2964878,0.29302302,0.29026344,0.28751755,0.2846783,0.28218684,0.2800829,0.27810264,0.2762014,0.27465257,0.27293178,0.27061248,0.26778027,0.26526275,0.2627758,0.2596866,0.25561967,0.25130644,0.24692504,0.24235491,0.23724449,0.23186095,0.22600971,0.21993595,0.21419095,0.20989574,0.20673312,0.20397925,0.20093977,0.19819166,0.19574821,0.1937663,0.19267845,0.19411741,0.19871056,0.20567049,0.21274771,0.21819985,0.22123505,0.223015,0.2265095,0.23530602,0.25138327,0.27322784,0.29714164,0.3188084,0.33547607,0.34473142,0.343459,0.32744357,0.29504737,0.25120026,0.20769948,0.17743905,0.16713016,0.17416294,0.18980683,0.20527542,0.21622284,0.22310339,0.22870515,0.2353002,0.24387597,0.25398684,0.2644513,0.27284798,0.2771276,0.27619424,0.27107736,0.26332837,0.25436097,0.24523444,0.23736809,0.23244224,0.23071401,0.23044008,0.22856587,0.2235233,0.21635367,0.21054846,0.20970738,0.21624963,0.22959842,0.24678417,0.26290777,0.27454522,0.28042886,0.28215966,0.28151587,0.28043762,0.27991247,0.28098688,0.28349742,0.28688803,0.2898753,0.29193273,0.29320058,0.29467535,0.29708746,0.299944,0.30203128,0.30287182,0.30465207,0.31124327,0.32531008,0.34491256,0.3630623,0.3718094,0.3674226,0.35345674,0.33736613,0.32555294,0.3195312,0.317753,0.3181896,0.3201209,0.3225876,0.3238329,0.32184795,0.31657073,0.30957422,0.30328915,0.29896706,0.29728273,0.29766706,0.2991489,0.29974627,0.29841688,0.2952465,0.29217663,0.29060102,0.29087842,0.29130542,0.2905332,0.28812736,0.2856497,0.28441703,0.28478912,0.28535876,0.28500435,0.28362456,0.28264526,0.28294766,0.28419164,0.28451967,0.28271008,0.2790288,0.27544364,0.2737035,0.27421272,0.27571198,0.27667603,0.27647138,0.27575573,0.27560714,0.2765033,0.27807644,0.27952823,0.28043026,0.28078642,0.28090975,0.28094125,0.28095987,0.28112915,0.28202343,0.2835323,0.28405562,0.27979088,0.26752692,0.24650927,0.21952452,0.18946822,0.15771997,0.1242628,0.0908655,0.06135431,0.039667588,0.026785672,0.02070499,0.018160017,0.01675169,0.015393604,0.013967848,0.01263725,0.0115360245,0.010656189,0.009968803,0.00954968,0.009550586,0.010040563,0.010802008,0.011399145,0.011403733,0.01074953,0.009786107,0.009070341,0.0089498,0.009341791,0.009824977,0.009972784,0.009664758,0.009130541,0.008719993,0.008597015,0.008611265,0.008487076,0.008054408,0.0073972642,0.006679948,0.0060252626,0.0054121898,0.00482459,0.004291294,0.003907518,0.0037179794,0.0036864814,0.0037106436,0.0037122977,0.004290909,0.007503021,0.017446887,0.03799199,0.069586106,0.10669955,0.1413136,0.16910344,0.19407475,0.22480862,0.2654539,0.30956653,0.34398583,0.35925844,0.3568411,0.34579954,0.33531567,0.32846084,0.32414475,0.31958792,0.31408682,0.30838683,0.30435985,0.3026961,0.30268523,0.3024564,0.30102885,0.29850516,0.29657397,0.2967893,0.30093455,0.3094484,0.32173368,0.33501205,0.3455725,0.350443,0.3492969,0.34480858,0.3399662,0.33630517,0.33280995,0.32862416,0.32395157,0.32052055,0.31902918,0.31880608,0.3179758,0.31563604,0.31192407,0.3076773,0.30300853,0.29774246,0.2919357,0.28677285,0.28359285,0.28295973,0.28350964,0.28299287,0.27958837,0.27364787,0.26688388,0.26119584,0.25686434,0.25337133,0.24997117,0.2470138,0.24499112,0.24453591,0.2455473,0.2478637,0.2506936,0.25324962,0.25491917,0.2563243,0.2582709,0.26024786,0.259208,0.25167283,0.23659582,0.2169621,0.19789952,0.18364388,0.17548645,0.17196369,0.17068698,0.16996813,0.1693816,0.16886483,0.16800731,0.1663546,0.16492534,0.16659503,0.17463136,0.18947499,0.20770729,0.22365831,0.23341584,0.23665448,0.23616247,0.23502974,0.23495679,0.23559351,0.23586935,0.23516564,0.23425274,0.23426938,0.23557884,0.23702966,0.23719521,0.23560971,0.23319803,0.23108499,0.22963703,0.22817646,0.22555201,0.219911,0.20867468,0.18888783,0.15990655,0.12496606,0.091113485,0.06500549,0.049805928,0.04372405,0.04264708,0.04248035,0.041153103,0.03865509,0.039027523,0.051877517,0.093549974,0.17695999,0.30148855,0.44376686,0.572062,0.6601143,0.7017129,0.7019314,0.67060524,0.6145117,0.54033655,0.45670345,0.3750428,0.30759808,0.26216713,0.23928726,0.23264663,0.23416913,0.23805587,0.24197675,0.24531864,0.24808149,0.25022706,0.2522119,0.2545975,0.25748852,0.2606537,0.26333812,0.26536706,0.26624045,0.26579085,0.2637736,0.2610954,0.2590001,0.25858533,0.25923267,0.2595866,0.25825742,0.2552355,0.25122982,0.24722542,0.2441256,0.24287611,0.2434318,0.244509,0.24341273,0.23926431,0.23299988,0.22756322,0.22461547,0.22440057,0.22588684,0.22786309,0.22918953,0.22908634,0.22754341,0.2258153,0.2252544,0.22643371,0.22840446,0.23053326,0.23462683,0.24518733,0.2648056,0.29019174,0.31144848,0.32098332,0.31752703,0.30736127,0.2952429,0.2832792,0.27088797,0.25940886,0.25013784,0.24331789,0.2374342,0.2318431,0.22713368,0.22424674,0.2222896,0.2186877,0.21041141,0.19672306,0.1810531,0.1716695,0.17780654,0.20315795,0.24027781,0.27387044,0.29063806,0.28854927,0.27603805,0.2636248,0.25649992,0.25356945,0.25212705,0.25091845,0.25086865,0.25226995,0.2539164,0.2532263,0.24880277,0.24102204,0.23208119,0.22427368,0.21990173,0.22004037,0.22454333,0.23099793,0.23651075,0.23851323,0.23606765,0.2282955,0.21393128,0.1915067,0.16191952,0.12964326,0.10141506,0.08217714,0.072336935,0.0684165,0.06792781,0.074893005,0.102231205,0.16625722,0.27309516,0.40961257,0.54512143,0.6506676,0.711195,0.72965026,0.7136044,0.6689746,0.59919864,0.5117848,0.42100215,0.3423864,0.2871826,0.2566395,0.24545594,0.24490587,0.24863648,0.2532847,0.2582154,0.2630205,0.26673117,0.26857516,0.26906076,0.26986194,0.27214947,0.27525005,0.27761924,0.27856418,0.27939236,0.2815908,0.28487003,0.28705403,0.28658983,0.2840842,0.2816645,0.27984163,0.2774819,0.2727926,0.26632902,0.26014784,0.25666353,0.25665912,0.26018813,0.26632512,0.2739811,0.28016254,0.28258097,0.27969113,0.27328765,0.26518407,0.25712624,0.24883549,0.24061967,0.2329097,0.2272798,0.22427435,0.2239582,0.22482969,0.22640918,0.22978713,0.2393833,0.25830027,0.28513238,0.31105903,0.32658336,0.32704422,0.31575358,0.29804638,0.2767964,0.25206548,0.2253046,0.20111106,0.18433566,0.17645848,0.17484361,0.17572309,0.17668289,0.17723669,0.1771376,0.17580742,0.17362027,0.17507464,0.18858612,0.22124855,0.27014616,0.3211151,0.35673404,0.36892164,0.3619919,0.3459644,0.3278639,0.309328,0.29066062,0.2724283,0.25582895,0.2400896,0.22389401,0.20657487,0.18999118,0.17742957,0.17147,0.173925,0.18730052,0.21644008,0.26228252,0.31742638,0.3649569,0.39059246,0.38876283,0.3644682,0.32597515,0.28292367,0.24535705,0.22028337,0.20837362,0.20265949,0.19556189,0.18284751,0.16599183,0.1491983,0.1401313,0.1494414,0.19164443,0.27392793,0.3902528,0.5147,0.619858,0.68617505,0.71320933,0.7053879,0.6685669,0.6051862,0.5236486,0.4373118,0.3624269,0.30866417,0.27753368,0.26304224,0.25859547,0.2592994,0.26294497,0.26768717,0.27206683,0.27540013,0.27780616,0.27957836,0.2804415,0.28031322,0.2791543,0.27716088,0.2743247,0.27106547,0.26806858,0.26594743,0.26485562,0.26480684,0.2658312,0.26757348,0.26908937,0.26932418,0.26806375,0.2659015,0.26384553,0.26256824,0.26224926,0.26227388,0.26148903,0.25900665,0.25497508,0.25069806,0.2476712,0.24681549,0.24794121,0.24992795,0.25139156,0.25137016,0.249911,0.24749833,0.24500471,0.24298199,0.24195127,0.24219586,0.24516873,0.25368187,0.26967046,0.28997052,0.3053184,0.30629537,0.290527,0.26424468,0.235725,0.2085973,0.18103813,0.1504727,0.117729425,0.087069295,0.06285974,0.046900794,0.037891123,0.033283833,0.030739913,0.02889529,0.027048467,0.024978718,0.022740168,0.020605313,0.018945245,0.01818362,0.018552503,0.01988974,0.02149039,0.022420548,0.022004493,0.020250143,0.01784267,0.015674192,0.014347716,0.013814885,0.013612088,0.013184567,0.01238991,0.0114253685,0.010678519,0.010408786,0.011823274,0.018228782,0.035856217,0.06968518,0.118854165,0.1730622,0.21868415,0.24610846,0.25586277,0.25489533,0.25112826,0.24893874,0.24961215,0.25292352,0.258013,0.26344886,0.2671479,0.26706472,0.2614081,0.25173756,0.24500443,0.25729892,0.30291292,0.3854345,0.48454538,0.57189494,0.6235387,0.63774455,0.62340194,0.5915769,0.54532677,0.48576233,0.41815093,0.35400605,0.30629984,0.28105795,0.27504498,0.27890086,0.28409493,0.28608513,0.28369534,0.27780104,0.27062786,0.2655325,0.26484337,0.2692815,0.27763,0.28832126,0.29896662,0.3075389,0.3127007,0.31497765,0.31547794,0.31508934,0.31401917,0.31233707,0.309979,0.30633315,0.30021948,0.29085544,0.27895,0.26758006,0.2610061,0.2630519,0.27430734,0.29182422,0.30998814,0.324162,0.33271307,0.33739507,0.3399607,0.33962047,0.3327054,0.31703863,0.29537532,0.2755388,0.2646929,0.26477647,0.2716686,0.2797589,0.2856131,0.28956828,0.2943482,0.30370358,0.31979427,0.34179565,0.3651444,0.38429448,0.39531064,0.39786544,0.39457676,0.38752148,0.3765385,0.35862437,0.33349717,0.30471408,0.27905974,0.2599885,0.24578649,0.23171069,0.21489751,0.197271,0.1834256,0.1790266,0.18869741,0.21573,0.25784078,0.30591926,0.3461891,0.36953616,0.3751874,0.36998522,0.3608512,0.35236654,0.34596372,0.3418018,0.33917746,0.33696675,0.33456603,0.33182713,0.32865167,0.32474735,0.32002544,0.31576928,0.3132902,0.31386685,0.31780183,0.325845,0.33711958,0.34830928,0.3540745,0.35161254,0.34315893,0.33388582,0.32778466,0.32470372,0.32244787,0.31826344,0.3115724,0.30301544,0.29466745,0.28808483,0.2853434,0.2897258,0.3081478,0.34787834,0.41246748,0.49466863,0.5792875,0.6473866,0.6863596,0.6908464,0.66368556,0.61055225,0.5394586,0.45935762,0.38162115,0.31763223,0.2747962,0.25333378,0.24747674,0.2502123,0.25617138,0.2624407,0.26739886,0.27068505,0.27276167,0.27498484,0.27916595,0.28682375,0.29709864,0.30649272,0.31108305,0.31058428,0.30833554,0.30839625,0.31190547,0.31696525,0.32056093,0.32027808,0.3157833,0.30798316,0.29853985,0.28785422,0.27643406,0.2651279,0.25591645,0.24954768,0.24562304,0.24291785,0.24127513,0.24089347,0.24201661,0.24406527,0.24625653,0.24767506,0.24810658,0.24790859,0.24753106,0.2463956,0.24360688,0.23891638,0.23361374,0.228872,0.22647081,0.2285354,0.23902471,0.25768796,0.27887073,0.29051867,0.2854974,0.2647322,0.23804249,0.21312225,0.19177522,0.1698607,0.14416693,0.115733914,0.08931083,0.069629446,0.058454577,0.054183174,0.05336773,0.052634567,0.050157737,0.046028543,0.041702803,0.03861275,0.037146527,0.03662322,0.03605592,0.034845296,0.03289475,0.030384645,0.027674884,0.02520605,0.023503557,0.022806944,0.022993892,0.023448316,0.023538157,0.022930747,0.021932319,0.021156477,0.021066643,0.021569997,0.022115743,0.022124477,0.021393029,0.020222664,0.019118106,0.01842582,0.018108534,0.017883206,0.01742045,0.016595164,0.015540325,0.014620216,0.014094298,0.0139930695,0.014297757,0.015652547,0.0194512,0.027005523,0.03782327,0.049279317,0.058019206,0.062709935,0.06601304,0.07411773,0.094754316,0.13089615,0.17775513,0.22127485,0.24829829,0.25327387,0.24370568,0.23163573,0.22656395,0.22869585,0.2324691,0.23153485,0.22449265,0.21470173,0.20742543,0.2055955,0.20829205,0.21119584,0.20909655,0.19834952,0.17888303,0.15401965,0.1299418,0.11393112,0.1131858,0.12983489,0.1589275,0.18803106,0.20659602,0.21109664,0.20739639,0.20252615,0.20023799,0.1992532,0.19697826,0.19122441,0.18105364,0.16706906,0.15195657,0.13911726,0.13013034,0.123907864,0.11907933,0.117919184,0.12539993,0.14518046,0.17372762,0.2024315,0.22243024,0.23098056,0.22981675,0.22221495,0.20984904,0.19494222,0.18079215,0.17126013,0.16734283,0.16736436,0.16831486,0.16863097,0.1681813,0.1676264,0.16757111,0.16859083,0.17123389,0.17555958,0.18061435,0.1846521,0.18602334,0.18420427,0.18023944,0.1764163,0.17509432,0.17702527,0.1804986,0.18262321,0.18137527,0.1766776,0.1689025,0.1575404,0.14148276,0.12173918,0.1032858,0.0939335,0.09894532,0.116787136,0.13868535,0.15529375,0.16211092,0.162202,0.16174772,0.16598962,0.17567791,0.1879381,0.19829921,0.20368762,0.20368882,0.20012324,0.19553821,0.1917848,0.18957622,0.18854268,0.18808086,0.18792067,0.18849498,0.19042619,0.19400573,0.19903187,0.20482747,0.21037875,0.2140633,0.2144155,0.21089236,0.20485614,0.19856209,0.19368862,0.18963969,0.18375428,0.17263214,0.15762176,0.14930548,0.17044584,0.24127126,0.36509213,0.51521635,0.6535407,0.74956316,0.79765135,0.8059316,0.78324395,0.73093057,0.6496158,0.54840827,0.4462041,0.36275604,0.30859157,0.28130743,0.27175355,0.27061698,0.27263346,0.27591288,0.28007826,0.28513172,0.289935,0.29310468,0.29308906,0.2901887,0.28579736,0.28188312,0.2792971,0.27785972,0.276999,0.27631783,0.2757114,0.27494773,0.27373198,0.27180883,0.26901677,0.2653926,0.261109,0.25707522,0.25475073,0.25574267,0.2600459,0.26559594,0.26896882,0.26815522,0.26396367,0.2595832,0.25790992,0.25968733,0.2633632,0.26679826,0.26877716,0.26949814,0.26955947,0.26909053,0.26753727,0.26466176,0.26117924,0.25888845,0.26030913,0.26808748,0.2827669,0.29971477,0.3085718,0.29906753,0.26880404,0.22579746,0.1817113,0.14359225,0.11152554,0.083380096,0.059212506,0.0410875,0.030104944,0.024872327,0.022766547,0.021621369,0.02043507,0.01896864,0.017522926,0.017250234,0.020067865,0.027617767,0.038596462,0.048404675,0.05111211,0.044801693,0.03254211,0.020477427,0.012422587,0.008848332,0.007813224,0.0077466103,0.0079181725,0.008232873,0.008572993,0.008783505,0.008717704,0.008368522,0.007781351,0.0077036596,0.009785736,0.016700229,0.028904654,0.04315551,0.05216844,0.05096538,0.03994454,0.025521757,0.013860791,0.0077910996,0.006642729,0.010262939,0.021294003,0.044043195,0.07982368,0.12313771,0.16198838,0.1849603,0.18790118,0.17957489,0.17747499,0.20322652,0.269254,0.37384668,0.49692193,0.61226887,0.6972511,0.74219465,0.74795365,0.72072726,0.6675971,0.5955053,0.5137122,0.43461642,0.37079275,0.32984874,0.31067148,0.30612484,0.3078141,0.31038916,0.31214538,0.31322393,0.31443056,0.31538358,0.31550696,0.31314346,0.3080361,0.30023098,0.2918494,0.2844635,0.2799267,0.27860117,0.2808859,0.28675997,0.2962272,0.30888987,0.32297203,0.33597943,0.34448245,0.34704617,0.34395912,0.33829117,0.33304211,0.3306625,0.33091012,0.331938,0.33089593,0.32688227,0.32067,0.31425694,0.3083439,0.30324677,0.2991879,0.297256,0.29781482,0.3004065,0.30362865,0.306424,0.30803332,0.30844578,0.30830324,0.3093982,0.31423864,0.32395348,0.3350687,0.3383542,0.32345256,0.28703278,0.2366501,0.1859855,0.1448931,0.114613704,0.090447254,0.06849627,0.04862547,0.033061456,0.023170784,0.01822153,0.016274,0.0156085715,0.015363588,0.0155602945,0.01737458,0.024777181,0.044951867,0.08655336,0.15198307,0.23280573,0.30997306,0.36613405,0.3941672,0.40046906,0.39589235,0.38925147,0.3836088,0.3790686,0.3748581,0.37100518,0.3679891,0.3661901,0.3648804,0.36297953,0.3596344,0.35565805,0.3525835,0.35211346,0.35483292,0.36016902,0.36688444,0.37325558,0.378075,0.38042772,0.38041544,0.37844598,0.37485465,0.36969563,0.36259624,0.35439622,0.34592447,0.33866096,0.33188415,0.32524082,0.319113,0.31848755,0.33166322,0.3677499,0.43042657,0.512913,0.5984562,0.6668343,0.70463616,0.71014833,0.6905689,0.6534068,0.60154724,0.5358899,0.4622289,0.3927079,0.34003326,0.30889872,0.29401866,0.28423393,0.27032927,0.24955185,0.2263978,0.20825368,0.20035505,0.20247467,0.21030544,0.21888863,0.22504465,0.2277754,0.227241,0.22488904,0.22292243,0.22365452,0.22796875,0.23480195,0.2421869,0.24836743,0.25299236,0.25641367,0.259197,0.2611787,0.2622033,0.26242954,0.26294807,0.2639493,0.26444784,0.261636,0.2541093,0.24285246,0.23189513,0.2249339,0.22313567,0.22462659,0.22672372,0.22822702,0.22933447,0.2304333,0.23062569,0.22907759,0.22552802,0.2215768,0.21954493,0.22320789,0.23634775,0.25916067,0.28560007,0.30423233,0.3075708,0.29606876,0.27800682,0.26060596,0.24634163,0.23243938,0.21443017,0.18973424,0.16083471,0.13664787,0.12794155,0.13976441,0.1663074,0.19471979,0.2137434,0.22026676,0.21838422,0.21467994,0.21347332,0.21557294,0.21859674,0.21951582,0.21664582,0.21108241,0.20528978,0.20127325,0.19928254,0.19876356,0.19983302,0.20391208,0.21251655,0.22513925,0.23882349,0.24942768,0.25437912,0.25313234,0.24654324,0.23542507,0.22073884,0.20414877,0.18771933,0.17338671,0.16216965,0.1546195,0.15049046,0.14900982,0.14890279,0.14951564,0.15092045,0.15360288,0.15714057,0.16030055,0.16158019,0.16035658,0.1565013,0.15060507,0.14665566,0.1562473,0.1989383,0.2904431,0.4281821,0.5837409,0.7177842,0.80026215,0.8250939,0.80346084,0.7512961,0.6778013,0.5886536,0.49038768,0.39659455,0.32044563,0.27038312,0.243967,0.23363055,0.23081045,0.2303981,0.23088746,0.23246443,0.23595639,0.24067603,0.24542348,0.24922244,0.25291476,0.2576981,0.26319838,0.2665484,0.2648981,0.25796616,0.248487,0.23995139,0.2343029,0.23172437,0.23128025,0.23186396,0.23253195,0.23272185,0.23287423,0.23401837,0.2371742,0.24205501,0.2467254,0.24880344,0.24697477,0.24215186,0.23685205,0.2334786,0.23317786,0.23494093,0.23682053,0.23739602,0.23695849,0.23731607,0.23932333,0.24241489,0.24468254,0.24546443,0.24618363,0.25010347,0.26089403,0.27952477,0.3021871,0.31989488,0.32378808,0.31058973,0.28439024,0.2514989,0.21531236,0.17566647,0.13333543,0.092541136,0.05943412,0.037517607,0.0260036,0.021133365,0.01926454,0.01864747,0.019933464,0.02616444,0.041283444,0.068276495,0.10674509,0.15366231,0.20497167,0.2568768,0.30501938,0.3435668,0.3672953,0.37309167,0.3616941,0.33635476,0.30337456,0.2703559,0.24409586,0.22726862,0.21854591,0.21497136,0.21428825,0.21509111,0.21644014,0.21924156,0.22787388,0.24928792,0.28694335,0.33597028,0.38290367,0.4143418,0.42354915,0.41274074,0.3875707,0.35352635,0.31592724,0.28060737,0.25335807,0.23489642,0.2214957,0.20690338,0.18897806,0.17031546,0.15882222,0.16535188,0.20438898,0.28547707,0.40599358,0.54143804,0.6595126,0.7335058,0.7601428,0.7499601,0.7175558,0.66844815,0.6039606,0.5271482,0.44758764,0.37695107,0.32317898,0.28745392,0.2662281,0.25465038,0.2491784,0.24816747,0.25104252,0.25744447,0.26664796,0.27814662,0.29120526,0.30480453,0.3168826,0.32517478,0.3276815,0.32383037,0.31478342,0.30306384,0.29133007,0.2809292,0.2720362,0.26440772,0.25867605,0.2559149,0.2567494,0.26020935,0.2644671,0.26806653,0.27101478,0.274002,0.277393,0.28068468,0.2830961,0.28402364,0.2831206,0.28020623,0.27547464,0.26963583,0.26367927,0.2584434,0.25431165,0.25148353,0.24976842,0.249121,0.24925144,0.25077438,0.25483394,0.2638352,0.27891693,0.29759726,0.31188002,0.3126029,0.29631293,0.26882017,0.24073766,0.21968268,0.2067324,0.1986794,0.19237573,0.18658362,0.18182278,0.17899929,0.17856981,0.17968573,0.18066615,0.17959227,0.17590539,0.17071408,0.16740721,0.16969836,0.18005972,0.19712508,0.21690772,0.23452424,0.24703467,0.25312015,0.25274065,0.24648781,0.2362011,0.22456668,0.21377075,0.2040544,0.19325735,0.17878532,0.16028208,0.14194326,0.13051377,0.13091643,0.14155109,0.15592428,0.1670608,0.17390849,0.17982161,0.19003873,0.2048623,0.22105737,0.23259051,0.23654394,0.23322774,0.22654001,0.22033425,0.21662833,0.21494597,0.21371569,0.21228142,0.21126507,0.21221365,0.21711217,0.23004495,0.25981084,0.31729275,0.4083651,0.5231519,0.6389916,0.72915155,0.77945447,0.78827095,0.7639313,0.7127908,0.64011663,0.5511753,0.45762083,0.3746566,0.31463453,0.2805338,0.26593494,0.2616961,0.26103413,0.26186916,0.26418373,0.26844522,0.27388212,0.27932632,0.2831811,0.28485337,0.28429493,0.2825964,0.28064728,0.27892843,0.2768627,0.2737083,0.26945505,0.26491773,0.2613193,0.2591881,0.25853536,0.25868753,0.25921297,0.26010278,0.26238477,0.26709792,0.2743507,0.28192782,0.2864425,0.28506088,0.27838883,0.26989248,0.2639799,0.26237443,0.26387313,0.26576748,0.26649293,0.2661202,0.26570496,0.26622188,0.2681429,0.27126256,0.27471808,0.27763104,0.28065965,0.2865487,0.29915658,0.31879053,0.3406738,0.35553956,0.35751143,0.3462032,0.32610393,0.29864165,0.2618085,0.21349926,0.15822186,0.105996706,0.06652114,0.043099526,0.03246326,0.028977767,0.028453669,0.029562017,0.03277312,0.040580217,0.0579664,0.09221786,0.14794183,0.2203722,0.2938896,0.34967378,0.37838802,0.3841307,0.3790737,0.37241733,0.36724058,0.36237732,0.3570516,0.35162458,0.34662688,0.3423488,0.3385401,0.33574843,0.334092,0.3341267,0.33547032,0.33845997,0.34278262,0.34791592,0.3518046,0.35262313,0.3497382,0.34473845,0.3398284,0.33635712,0.33395585,0.3317958,0.32995299,0.33002186,0.33425784,0.34347105,0.35609332,0.36779165,0.3745846,0.37530956,0.37472034,0.38244358,0.40935338,0.46080986,0.5315153,0.60609293,0.66709346,0.70401025,0.7173248,0.711266,0.6863172,0.63630855,0.5585141,0.46186325,0.36705282,0.29446036,0.25332874,0.24001324,0.24413164,0.25571528,0.26785696,0.2774668,0.28405988,0.28883037,0.29245958,0.29477158,0.29533207,0.2944223,0.29325,0.29263946,0.29342696,0.2953899,0.2985983,0.302142,0.30565992,0.30803946,0.30883557,0.30765876,0.30571714,0.30422005,0.3037648,0.30324683,0.30166695,0.2990484,0.2959291,0.29283798,0.28989556,0.28870305,0.28997877,0.29364502,0.2966095,0.29686067,0.2928461,0.2863672,0.27993345,0.27794096,0.2821605,0.29150346,0.30120876,0.3073788,0.3078841,0.30334494,0.2961296,0.29182896,0.29506052,0.30548254,0.31387874,0.31067714,0.2926961,0.2674102,0.24448957,0.22993483,0.2227598,0.21897013,0.21450627,0.20746769,0.19819087,0.1888624,0.18203302,0.17864935,0.17731398,0.17575921,0.17367083,0.17345512,0.17816903,0.18787287,0.1989413,0.20641452,0.20804892,0.20507932,0.20038974,0.19585748,0.19174697,0.18784142,0.183517,0.17805342,0.16981305,0.15795891,0.14282846,0.12678145,0.11216357,0.09998214,0.089210935,0.07891733,0.06993571,0.06509915,0.06539912,0.06845524,0.068534374,0.062653124,0.051861152,0.041180965,0.033848636,0.030496458,0.029223287,0.028575184,0.027806854,0.026906833,0.025833024,0.02461412,0.023246653,0.021808999,0.02084522,0.024757333,0.044855792,0.10019947,0.20525193,0.3581868,0.5319725,0.69029146,0.80251956,0.8599041,0.8668948,0.83440495,0.76750684,0.67070407,0.55107933,0.42615375,0.31718588,0.2407453,0.19909827,0.18270792,0.17875226,0.17870088,0.17994396,0.18228172,0.1862434,0.19130306,0.19657105,0.19970389,0.19963877,0.19666772,0.1935351,0.19191886,0.19250101,0.19423455,0.19662672,0.19896173,0.2009155,0.20177864,0.20189609,0.20207159,0.20369698,0.20704322,0.21208155,0.21830869,0.22634894,0.23635553,0.24848624,0.26117304,0.27312753,0.28236774,0.28815484,0.2895771,0.28734624,0.2826273,0.27809206,0.2756635,0.2761272,0.27744386,0.27642822,0.27064642,0.2612708,0.25278324,0.25059745,0.25755402,0.2732333,0.29399124,0.31457222,0.32812515,0.33024204,0.3212364,0.30712256,0.29356122,0.28187737,0.26887494,0.25267002,0.23524116,0.22131932,0.2132632,0.21002233,0.2082995,0.20617168,0.2035964,0.201241,0.19863321,0.19386059,0.18703051,0.18230872,0.1890731,0.21313019,0.25220907,0.29236546,0.3208599,0.3316058,0.33003923,0.32195592,0.31111172,0.29662213,0.27973688,0.263101,0.25033626,0.24195452,0.23599511,0.22909768,0.21909113,0.2062165,0.19449192,0.191112,0.2042104,0.23592596,0.28036976,0.32452703,0.3590896,0.38106418,0.39395425,0.39904058,0.394411,0.3766007,0.34587002,0.3079878,0.2714745,0.243602,0.22614272,0.21638925,0.20937721,0.20121776,0.18943083,0.17496698,0.16378748,0.16819267,0.19765349,0.25119606,0.31173524,0.3606266,0.3871696,0.39654803,0.3976694,0.39794257,0.3981715,0.39822617,0.39728498,0.39560592,0.39290783,0.38995966,0.3873839,0.38606104,0.38552758,0.38521683,0.38398767,0.38164297,0.37835026,0.3759378,0.37553534,0.37753317,0.3792603,0.37857667,0.37416077,0.36825657,0.3631614,0.3608068,0.3601983,0.3598431,0.35791072,0.35483733,0.3514521,0.3494376,0.34875762,0.34923363,0.34989095,0.35038042,0.3501753,0.34899902,0.34695947,0.34490693,0.3442618,0.34618315,0.35073674,0.35646543,0.36114588,0.36309603,0.36236313,0.36034632,0.35873172,0.3583106,0.35899124,0.36045244,0.36262676,0.3658398,0.3698357,0.37300622,0.3713298,0.35977888,0.33492336,0.2984036,0.25683686,0.2183006,0.18707603,0.16145568,0.13637528,0.10846058,0.07921293,0.05336782,0.034927547,0.024399685,0.019496175,0.017444052,0.016461754,0.015866185,0.015396078,0.015006759,0.014722564,0.014770151,0.015461522,0.017101027,0.019677296,0.02266494,0.02509726,0.026004473,0.024911059,0.022077998,0.018319206,0.014627837,0.011742912,0.010035812,0.009468163,0.009768676,0.010415632,0.01087033,0.010810857,0.010690541,0.011760451,0.015962267,0.02505052,0.04098553,0.065502375,0.10020747,0.14348169,0.19016625,0.23208539,0.2632132,0.28118566,0.2873062,0.2841297,0.275564,0.26782808,0.2678637,0.28014877,0.30270675,0.32827786,0.3474371,0.35445797,0.34978747,0.34145734,0.33945468,0.3506759,0.37212372,0.39534917,0.41102135,0.4167298,0.41444877,0.40836546,0.40091386,0.39361632,0.38774028,0.38436568,0.3841296,0.3864429,0.39078557,0.39645946,0.40308797,0.40900186,0.41214523,0.41085854,0.40582594,0.39916196,0.39288974,0.3871324,0.3809742,0.3739561,0.36749896,0.3636739,0.3637061,0.36649027,0.36996675,0.3723743,0.37369987,0.37429443,0.37429592,0.37280968,0.36948135,0.36482307,0.36081102,0.3593568,0.36143342,0.36589453,0.37090626,0.37534347,0.38007545,0.38602424,0.3927875,0.39806136,0.40009454,0.39881563,0.39581144,0.39222464,0.38803938,0.38260308,0.37624833,0.37065527,0.36803064,0.36957732,0.37450597,0.37968424,0.37976742,0.36906448,0.34403467,0.3063593,0.26241574,0.22119091,0.19026291,0.17404819,0.17201035,0.17937154,0.18855374,0.19372411,0.19301806,0.1887005,0.1836799,0.17954884,0.17612855,0.17276888,0.1691727,0.166771,0.16973607,0.1856553,0.22046177,0.27282226,0.33015132,0.3765941,0.40284386,0.41234016,0.41514948,0.41915223,0.4256078,0.43083444,0.4309155,0.42376897,0.41091493,0.39606914,0.3839216,0.37726223,0.37631127,0.37896475,0.38259426,0.38545844,0.3871967,0.38819632,0.38849327,0.38731813,0.38393506,0.378425,0.37245956,0.36771408,0.3651973,0.36413085,0.36343995,0.36239278,0.36074707,0.35849324,0.35524145,0.35171,0.34873593,0.34755298,0.34797764,0.34954163,0.35168362,0.3538814,0.35556552,0.3554975,0.3538816,0.3508003,0.34762335,0.34406507,0.3407903,0.33738676,0.3346533,0.3325492,0.3313841,0.3303524,0.32818267,0.32380894,0.31752515,0.31113324,0.30628493,0.30348334,0.30184972,0.3005316,0.29919124,0.29831138,0.2981993,0.299034,0.30047524,0.30227485,0.3040775,0.30541325,0.30567396,0.3045021,0.3025559,0.30114976,0.30132806,0.30259332,0.30308947,0.30121136,0.2971383,0.29317203,0.29159167,0.29283223,0.29468796,0.29442117,0.29072094,0.2848161,0.2792196,0.27598488,0.27546713,0.27631035,0.27684674,0.27613273,0.27471083,0.27316698,0.27115667,0.26694027,0.25925764,0.24892914,0.2389971,0.23285924,0.23191005,0.23448189,0.2372153,0.23730528,0.23493743,0.2316708,0.22913945,0.22643323,0.22271764,0.21741766,0.21181345,0.20633309,0.20148312,0.19723727,0.19447003,0.19302474,0.19165085,0.1872531,0.1768508,0.15855704,0.13370202,0.10646227,0.082591414,0.06596502,0.05725641,0.05425106,0.054239687,0.055257794,0.056462478,0.057523742,0.058286756,0.05848183,0.057949264,0.056694407,0.055181157,0.05358826,0.051799234,0.049117047,0.045507986,0.04157662,0.038655277,0.03745687,0.03782611,0.038534876,0.038214643,0.035959244,0.0320603,0.02777913,0.024719017,0.023746498,0.024614766,0.026346108,0.02802655,0.029356072,0.030416792,0.031388782,0.032169413,0.032557577,0.032552112,0.033010315,0.035828244,0.0438299,0.060093135,0.08819679,0.13023366,0.18428618,0.24090843,0.2871373,0.3134354,0.3205121,0.31632534,0.3096172,0.30423892,0.30038798,0.29701063,0.29420817,0.2923015,0.29159558,0.291669,0.2920504,0.29239714,0.2923751,0.29167488,0.2899237,0.28756753,0.28571653,0.285848,0.28869238,0.29367378,0.298839,0.30149415,0.29924974,0.29157642,0.28045714,0.27043012,0.26605833,0.27008379,0.28155518,0.2971854,0.31253695,0.3240913,0.32988307,0.3302677,0.32744074,0.3241297,0.32186377,0.3200308,0.31702137,0.31136617,0.30278742,0.2909605,0.2759124,0.2584899,0.24184339,0.22955693,0.22345954,0.22224756,0.22363442,0.22587706,0.2284557,0.23057406,0.23197974,0.23310865,0.23591967,0.24168557,0.24991381,0.2575085,0.26100528,0.25860348,0.2516096,0.24262597,0.23389907,0.2260892,0.21977411,0.21554637,0.21389543,0.21388625,0.21400188,0.21327311,0.21228714,0.21228082,0.21376663,0.21563698,0.21604078,0.21380417,0.2099449,0.20664366,0.20591378,0.20730622,0.20907311,0.20925581,0.20785314,0.20597702,0.20488906,0.20459415,0.20403725,0.2021938,0.19911723,0.19603245,0.19408643,0.19312517,0.19171365,0.18837522,0.18322915,0.17816116,0.17575236,0.17726602,0.18178497,0.18677104,0.18988164,0.19020827,0.18834269,0.18521143,0.1811551,0.17593318,0.16953003,0.16277741,0.15683258,0.15234447,0.14883135,0.14535789,0.14163603,0.13866621,0.13800283,0.14058965,0.14681305,0.15778972,0.17522728,0.19869412,0.22344105,0.2423501,0.25113788,0.25051704,0.24418892,0.23521788,0.22536641,0.2161035,0.20884077,0.20412023,0.20088048,0.19755794,0.1934913,0.18973999,0.18769026,0.1875611,0.18782343,0.1869015,0.18419665,0.18064393,0.17776418,0.17721957,0.17952652,0.18323624,0.18517227,0.18217273,0.17303199,0.15863888,0.14137122,0.12390255,0.108752966,0.09739817,0.09001506,0.08559803,0.08281365,0.08056865,0.07831007,0.07623538,0.075276345,0.07656389,0.080319874,0.085375436,0.08991903,0.0929152,0.09484223,0.09693295,0.10003698,0.1037978,0.107140124,0.10883849,0.10821092,0.10508499,0.09986603,0.09354261,0.08746621,0.08292947,0.080556214,0.081278294,0.08707196,0.10099632,0.12322778,0.14898758,0.16901724,0.17661019,0.17071418,0.15584548,0.13600934,0.11318013,0.088011384,0.06293687,0.04158132,0.026717326,0.018469177,0.01486323,0.013586026,0.013386465,0.01483049,0.01989513,0.0310745,0.04903688,0.07256592,0.0990152,0.127121,0.15568276,0.18293215,0.20517783,0.21964937,0.22586447,0.22580425,0.22198123,0.21635814,0.21018863,0.20404156,0.19809665,0.19260305,0.18845515,0.18594152,0.18317926,0.1753776,0.15868193,0.13413475,0.110385895,0.098619066,0.10710659,0.13420288,0.17074524,0.2031353,0.22287782,0.2280155,0.22406568,0.21738653,0.21310525,0.21282297,0.21613486,0.22079836,0.2243384,0.22511841,0.223936,0.22293533,0.22452997,0.22910644,0.2355351,0.24167596,0.24624461,0.24941449,0.25253117,0.25698438,0.2626401,0.26808238,0.27100968,0.26912293,0.25962833,0.24058199,0.2126571,0.18169613,0.15665354,0.146865,0.15579128,0.17997093,0.20829098,0.22986914,0.23837137,0.23639624,0.22993195,0.22470145,0.22191153,0.2204914,0.2185611,0.2158578,0.21291871,0.21035759,0.20776856,0.2047279,0.20200829,0.20176679,0.2058829,0.2135088,0.2204808,0.22079034,0.21020174,0.18903913,0.1626573,0.1387723,0.12402881,0.12231099,0.1346321,0.15851998,0.18757884,0.21259338,0.2269287,0.22946306,0.2248926,0.2183323,0.21285911,0.20862214,0.20505251,0.20173246,0.19845997,0.19512455,0.19101588,0.18561393,0.17891157,0.17403139,0.17503971,0.18495709,0.19986562,0.2123518,0.21472794,0.20669794,0.19347478,0.18324809,0.18068391,0.18527973,0.19217557,0.19641544,0.19633771,0.1940022,0.19259739,0.19367422,0.19617355,0.19788663,0.19712786,0.19385873,0.1892854,0.18519402,0.18292831,0.1827297,0.18347229,0.18351494,0.18194032,0.1790703,0.17585178,0.17301273,0.17126451,0.17144424,0.17429417,0.17903171,0.18369056,0.18608148,0.18578786,0.18371429,0.18128707,0.17926772,0.1780523,0.17758906,0.17752694,0.17693806,0.1749965,0.1703375,0.16123925,0.14638972,0.12810846,0.11355397,0.1110852,0.12406581,0.14700742,0.17000479,0.18516211,0.19151594,0.19247307,0.19197102,0.19115283,0.19027878,0.19186558,0.20267934,0.22930449,0.27087244,0.31715748,0.3544164,0.3761417,0.3832954,0.38159868,0.37406206,0.3638024,0.3532188,0.34566772,0.34203205,0.3418325,0.34371817,0.34686258,0.35056913,0.35390195,0.35601756,0.3565471,0.3563129,0.35667416,0.3590571,0.36321533,0.3673807,0.36904037,0.36758304,0.364602,0.36233833,0.36122835,0.3597028,0.35624242,0.3508173,0.34515658,0.34107745,0.33969617,0.34016848,0.34060776,0.33869246,0.33405924,0.32802963,0.32327977,0.32114545,0.3213103,0.32197294,0.3220943,0.32179987,0.3218577,0.32238403,0.3229016,0.32329896,0.3240029,0.32584235,0.32908937,0.3337257,0.33890903,0.3434045,0.34553167,0.34428373,0.33999968,0.33452117,0.32999852,0.32621756,0.3196098,0.30472496,0.2793512,0.24658722,0.21277995,0.18169521,0.15257947,0.12286224,0.09264666,0.06533123,0.044645194,0.031630788,0.024551442,0.020845622,0.018744797,0.01747988,0.016765794,0.01640606,0.016304122,0.016351283,0.016396293,0.016115988,0.015305455,0.014040019,0.012697361,0.0116391545,0.010975991,0.010650291,0.010623075,0.010943281,0.011578509,0.012315697,0.012854234,0.0129573345,0.012558508,0.011704609,0.010570887,0.009377088,0.008363028,0.0076198466,0.0070973537,0.006630773,0.0061221123,0.005578079,0.0051037637,0.0047699907,0.004574821,0.0044338424,0.0042857896,0.0041250247,0.00402618,0.004047439,0.0041915015,0.0043762554,0.0045127585,0.004566332,0.0045821047,0.004642295,0.0055708233,0.011530892,0.03156556,0.07722358,0.1510779,0.24080837,0.32104158,0.37311944,0.39317486,0.3933566,0.38524386,0.3762034,0.3671392,0.35957146,0.35427907,0.3522475,0.35248673,0.35390916,0.35494563,0.3551096,0.35420844,0.35287604,0.3512951,0.34965327,0.34774342,0.3458155,0.34402773,0.34249982,0.3407217,0.3383049,0.33524466,0.33237374,0.33049697,0.3299599,0.3302531,0.33061042,0.33051452,0.32997918,0.32957706,0.33000883,0.33210948,0.33624473,0.34214115,0.34833038,0.35273123,0.35375452,0.35166672,0.34916285,0.34999153,0.35696647,0.36923814,0.3830981,0.39340794,0.3978767,0.3963361,0.39103284,0.3828938,0.3732729,0.36272943,0.3530723,0.3452305,0.3401526,0.3379549,0.33835474,0.3389096,0.33488035,0.32096636,0.29571962,0.26382488,0.23488317,0.21795028,0.21652728,0.22657825,0.2394265,0.2469049,0.2443295,0.23008047,0.20389251,0.16797952,0.1296201,0.10065835,0.09214654,0.106809385,0.13665085,0.16675137,0.18374749,0.1818475,0.16394061,0.13809936,0.11262042,0.09298804,0.080898635,0.07634295,0.07977971,0.09278961,0.115453266,0.14353347,0.16901736,0.18493193,0.1897211,0.1876892,0.18468003,0.1841358,0.18555963,0.18649961,0.1849109,0.1803578,0.17306335,0.16234364,0.14672555,0.12629674,0.10514748,0.09078741,0.0895429,0.102002025,0.12176832,0.13994175,0.15017955,0.15156604,0.14672364,0.13892697,0.13012095,0.12094886,0.111934304,0.106607705,0.11324651,0.14343934,0.19995098,0.26986873,0.32558855,0.34699926,0.3331643,0.30290747,0.27465793,0.2567922,0.24683632,0.2404625,0.23507982,0.22996467,0.22465841,0.21890013,0.21251585,0.20594518,0.20002197,0.19651611,0.19715244,0.2033086,0.21461749,0.2293728,0.24446146,0.25720358,0.26582515,0.27039745,0.27175865,0.27105892,0.2688257,0.26530728,0.26066244,0.25536528,0.25000155,0.2450589,0.2409014,0.23785119,0.2362294,0.23588665,0.23604985,0.2353567,0.23253828,0.22685677,0.21848117,0.20855659,0.1989749,0.1918336,0.18841153,0.18859173,0.19074489,0.19251136,0.19187517,0.18798524,0.18145263,0.17363131,0.16585459,0.15885831,0.15308858,0.14935122,0.149345,0.15535565,0.168566,0.18649924,0.20264447,0.20939171,0.20358266,0.18783356,0.16778134,0.1463675,0.12345416,0.098120145,0.072441764,0.05023906,0.034733664,0.026013771,0.021996468,0.0200503,0.018583147,0.017243167,0.01636011,0.01629909,0.016900908,0.017670728,0.018076845,0.018002873,0.01763148,0.01730263,0.01721293,0.017447485,0.017933292,0.01857555,0.019210687,0.019690847,0.019860705,0.019697456,0.019292729,0.018859105,0.018555855,0.018468373,0.018578414,0.018848883,0.01921305,0.019560853,0.019743927,0.01963687,0.019221982,0.018613711,0.017993003,0.01751799,0.017232282,0.017094377,0.017055357,0.01710963,0.017276695,0.01749611,0.017676676,0.017728182,0.017644204,0.01742739,0.017050529,0.0165544,0.018614834,0.030602971,0.065567546,0.13072646,0.21820359,0.29952058,0.34619972,0.34668303,0.31634876,0.27952394,0.25389186,0.24197923,0.23868352,0.23866451,0.23972438,0.24148726,0.2438335,0.24650848,0.2495289,0.25326312,0.25807378,0.26359442,0.26827267,0.27001822,0.2675027,0.2617266,0.2554424,0.2516184,0.25106856,0.25253105,0.25353992,0.25247633,0.24908029,0.24433064,0.23931389,0.23440517,0.2293361,0.22366677,0.21746433,0.21098246,0.20427062,0.19663964,0.1869499,0.174293,0.15915193,0.14376624,0.13170025,0.12610067,0.12845296,0.13793828,0.1520505,0.16769296,0.1823578,0.19523942,0.20693141,0.21843089,0.2295024,0.23871428,0.24445106,0.24629517,0.24512984,0.24295522,0.24226062,0.24558115,0.2526411,0.2593722,0.25845325,0.24562769,0.22208089,0.1940149,0.16600674,0.13957669,0.114777766,0.094896555,0.0854607]