[0.024239507,0.025057243,0.027060486,0.030119473,0.03399172,0.038413215,0.04319711,0.048257362,0.053489495,0.058629815,0.0631392,0.06609215,0.066124745,0.062001612,0.05359975,0.043388948,0.035895396,0.036613274,0.04825412,0.06983796,0.09530576,0.11738906,0.12963422,0.1306629,0.12323279,0.113206446,0.10539647,0.10222686,0.10391509,0.11058753,0.122511685,0.1384195,0.1543187,0.16545887,0.16956109,0.16809177,0.1641276,0.15989687,0.15655564,0.15501887,0.15655398,0.16106719,0.16699623,0.17173535,0.17371489,0.17243285,0.16819663,0.16195937,0.1559493,0.15321808,0.15552783,0.16136475,0.16689636,0.1687758,0.16689278,0.1635561,0.16171522,0.16277616,0.16685914,0.17320676,0.18122382,0.19043364,0.2002844,0.209274,0.21466468,0.2133705,0.20395254,0.18853141,0.17256992,0.16303647,0.16498806,0.17922823,0.20143808,0.22468995,0.2428094,0.25245106,0.25209203,0.24051027,0.21786691,0.18813811,0.15995626,0.14223003,0.13868009,0.1450988,0.15287359,0.15478571,0.14860962,0.13667804,0.12293073,0.11100324,0.10288236,0.09887456,0.09734341,0.09597713,0.092976905,0.088315584,0.08341382,0.08053071,0.08186173,0.088698305,0.1003679,0.1137807,0.12537597,0.1337191,0.14091773,0.14977418,0.16060428,0.17026396,0.17437975,0.17075032,0.16007675,0.14708382,0.13770264,0.13753413,0.14705582,0.161969,0.17475551,0.17999177,0.17667788,0.16806258,0.15883176,0.152407,0.14977103,0.1491179,0.14701061,0.14016981,0.12807359,0.11371779,0.10240186,0.099145055,0.106448434,0.12330731,0.14500155,0.16552712,0.18023205,0.188509,0.19147427,0.19015783,0.1835588,0.17294662,0.16275847,0.16057982,0.17031391,0.19017333,0.21302015,0.23221566,0.24470003,0.25113216,0.25348818,0.2520717,0.24506116,0.22890425,0.20212698,0.1673637,0.13199678,0.10344108,0.08543089,0.07680083,0.07538867,0.081621744,0.09795996,0.12516749,0.15848762,0.18988927,0.21192653,0.22177981,0.22003306,0.20934252,0.19293606,0.174892,0.15874344,0.1461523,0.1362182,0.12672426,0.11581681,0.10289982,0.0888137,0.07521694,0.064031206,0.056877945,0.054335643,0.05558683,0.0581961,0.05971673,0.059062,0.057374,0.057013437,0.06038149,0.06910583,0.08344129,0.101856895,0.121192314,0.13766488,0.14811273,0.1504857,0.14419843,0.13033342,0.11206161,0.09405952,0.081534274,0.0783828,0.08625423,0.1033747,0.12548591,0.1466375,0.16200894,0.16925283,0.17023061,0.16969001,0.1732453,0.18374228,0.20024271,0.21838492,0.23321813,0.24004726,0.23683113,0.22458112,0.2096016,0.19914205,0.19773625,0.2026707,0.20816477,0.209617,0.20685782,0.2018656,0.19633992,0.19078247,0.18466926,0.17734514,0.16889983,0.1617244,0.15968807,0.16568244,0.17846526,0.1934014,0.20502247,0.21045226,0.20931327,0.20279454,0.19184816,0.17728014,0.15995556,0.14127412,0.12261764,0.10499091,0.088689856,0.07434233,0.06320004,0.057772163,0.059889793,0.06988388,0.085134365,0.10208485,0.117011726,0.12727489,0.13031633,0.12482023,0.112155385,0.097954206,0.09021153,0.09525493,0.11346432,0.13864452,0.16171499,0.17624223,0.18157984,0.18099922,0.17824225,0.17485018,0.17152447,0.169141,0.1698563,0.17500041,0.18390678,0.19244002,0.19513486,0.18805031,0.1726739,0.15525757,0.14307548,0.1386761,0.13899009,0.13877165,0.13599262,0.13356335,0.13712896,0.15037477,0.17174102,0.19389774,0.20760386,0.20666485,0.19138068,0.16760923,0.14281596,0.12268734,0.109475486,0.10326895,0.102635,0.106297545,0.11396811,0.1284097,0.15340729,0.19025426,0.23294921,0.27043056,0.2918041,0.29280806,0.27619854,0.24932475,0.22006921,0.19469129,0.17650332,0.1659246,0.16080993,0.1576132,0.15263091,0.14364152,0.13083152,0.1167459,0.10525385,0.10025612,0.10393876,0.11537822,0.13010314,0.14256921,0.14926241,0.15041773,0.14821275,0.14424758,0.13872409,0.1318696,0.12489835,0.11950528,0.11613903,0.1139962,0.11156827,0.1083683,0.10490039,0.103037745,0.104842104,0.11186731,0.12311985,0.13520141,0.14356901,0.14631708,0.14456642,0.14132978,0.1373411,0.13199838,0.12493694,0.12019479,0.123776875,0.14086308,0.17008507,0.20463397,0.23443685,0.25248304,0.2559547,0.24696064,0.22983764,0.21114159,0.19699763,0.19025497,0.18775801,0.18348892,0.17565893,0.17038782,0.17795415,0.20397027,0.24418287,0.28629234,0.3155785,0.3226032,0.3069403,0.27883285,0.25292945,0.24087904,0.24524152,0.26072147,0.27989602,0.2972615,0.31039295,0.31798768,0.319317,0.3139715,0.3009291,0.2790868,0.24809466,0.21189982,0.17775571,0.1542691,0.14696245,0.15640335,0.17738354,0.19997038,0.21401876,0.21372743,0.20059533,0.18015252,0.15881781,0.14227755,0.13708688,0.1484078,0.1763909,0.2131815,0.24793382,0.2722617,0.2835687,0.2818288,0.26791584,0.24549359,0.22239377,0.2079366,0.20461537,0.20644663,0.2035445,0.19169812,0.17451422,0.15854768,0.14767352,0.14217603,0.14306283,0.15170282,0.16710864,0.18308853,0.19380982,0.20056945,0.21109246,0.23057993,0.25255564,0.2638068,0.2552136,0.23190291,0.20835395,0.1986047,0.20657575,0.22634546,0.2472257,0.26065043,0.26318592,0.25626418,0.24336307,0.22820634,0.21381962,0.20263152,0.19556962,0.19186424,0.18965034,0.18778102,0.18696617,0.18928526,0.197396,0.21276976,0.2350385,0.26078317,0.28497458,0.30292058,0.31223774,0.31286073,0.3058515,0.29351458,0.27917352,0.26692477,0.259366,0.25611177,0.25351116,0.24615854,0.23038714,0.20646274,0.17973308,0.15657692,0.1422081,0.13855095,0.14702201,0.1672426,0.19630677,0.22676401,0.2507509,0.26374087,0.2667359,0.2632822,0.25687894,0.24954124,0.24251801,0.23547965,0.22720595,0.21559303,0.20025401,0.18159872,0.16172867,0.14344777,0.1320948,0.1330284,0.1486517,0.17472287,0.20262752,0.22413592,0.23564123,0.23772268,0.23244326,0.22210741,0.20971026,0.19953446,0.1940453,0.19196467,0.18849301,0.1817429,0.17596477,0.18018903,0.19995369,0.23151557,0.26341465,0.28398612,0.28929254,0.28324142,0.27332047,0.2647991,0.2594634,0.25677755,0.25516656,0.25262448,0.24732542,0.2395546,0.23241507,0.2299483,0.23367693,0.24066244,0.24536194,0.24261199,0.2307397,0.2128049,0.19699968,0.19356048,0.2090099,0.24101953,0.2790109,0.3109709,0.32995966,0.33548427,0.3293474,0.31302586,0.28848886,0.26144063,0.24043363,0.2325061,0.23835821,0.25224742,0.26739773,0.28038535,0.29198828,0.30185166,0.30694005,0.3044946,0.29777777,0.29510632,0.30227944,0.31657863,0.3286076,0.32999644,0.3191409,0.30047703,0.28106537,0.26646936,0.25972602,0.25948596,0.26075783,0.25715867,0.24658418,0.23367412,0.22641969,0.22962703,0.24144424,0.25666776,0.27022508,0.27937543,0.28242323,0.27964056,0.27268878,0.2642155,0.2553557,0.24586265,0.2353399,0.22558342,0.22122373,0.22691745,0.24356985,0.26531675,0.28331602,0.29098022,0.28837302,0.2802918,0.2720947,0.26746047,0.26761615,0.2732605,0.28308746,0.2950389,0.3055853,0.3127954,0.31590703,0.315999,0.31403247,0.31122229,0.30846182,0.30641723,0.3042667,0.299803,0.2911031,0.2789679,0.26728895,0.26011875,0.2591145,0.26279643,0.2686075,0.27357617,0.27517077,0.2721089,0.2658031,0.25976825,0.25686654,0.25786328,0.26165494,0.2678616,0.2768483,0.28964427,0.3057715,0.32354066,0.3397057,0.35142598,0.35700762,0.3569983,0.35309935,0.34700736,0.33931753,0.32927167,0.3149172,0.29379633,0.26519242,0.23204823,0.20055823,0.17651348,0.16267167,0.159526,0.16846608,0.1910915,0.22605045,0.2656696,0.30012408,0.32257155,0.33345136,0.33729348,0.33952618,0.34365287,0.35151413,0.36230922,0.37249288,0.3765229,0.370266,0.3525903,0.32549724,0.29226965,0.25749356,0.22759078,0.20987897,0.20896216,0.2220063,0.2396185,0.2512827,0.25348705,0.24963401,0.24571358,0.24410932,0.24554045,0.25093353,0.26302102,0.2814328,0.30296326,0.32152507,0.33300647,0.3332907,0.31953084,0.29010427,0.2501976,0.21231806,0.19186538,0.19657761,0.22034375,0.2467866,0.26159766,0.26280975,0.26053658,0.26769575,0.28939357,0.320001,0.34559384,0.35196868,0.3310828,0.28771624,0.238239,0.20406629,0.19912666,0.22290099,0.2612381,0.29641685,0.3165762,0.32030606,0.313619,0.30401126,0.2951919,0.28570554,0.27168292,0.25402346,0.24327314,0.2599229,0.31886795,0.41577175,0.51865005,0.5898989,0.60748446,0.5806365,0.5327564,0.48536286,0.4484557,0.4295483,0.43697044,0.47231507,0.5203519,0.5535719,0.552453,0.52044654,0.47878206,0.44737944,0.43113816,0.42188153,0.40795335,0.3828641,0.3477018,0.30936003,0.2754961,0.25026253,0.23281932,0.21974145,0.20782793,0.1968391,0.19001208,0.19298752,0.20925505,0.23551059,0.26095355,0.27272066,0.26486042,0.24141975,0.2134,0.18993215,0.17626399,0.17435509,0.18573575,0.20775533,0.23235579,0.24914491,0.25344193,0.2489661,0.24375606,0.2429198,0.24545942,0.2460956,0.23962198,0.22468823,0.20537277,0.19032611,0.18899865,0.20571549,0.23562948,0.26505616,0.27931058,0.27019134,0.24226499,0.20886147,0.18573232,0.17954053,0.18572474,0.19139002,0.18689634,0.17220372,0.15738262,0.1558607,0.17517345,0.21213593,0.25184074,0.27706742,0.27618122,0.25117615,0.21733464,0.19995898,0.2258548,0.30446434,0.41794637,0.5218523,0.57877296,0.5783165,0.54447794,0.50640815,0.48366174,0.47980204,0.4971231,0.5348776,0.5866756,0.6318161,0.6492431,0.628238,0.5790964,0.52039164,0.46811974,0.42619,0.39157602,0.3609239,0.33459058,0.31484208,0.30043572,0.2858568,0.26319733,0.22860406,0.18457954,0.14141211,0.11328732,0.1136625,0.14666261,0.2028896,0.26130137,0.3009555,0.3119432,0.29941094,0.27622858,0.2533441,0.2334465,0.2134537,0.18994266,0.16428004,0.14129274,0.12648301,0.12375784,0.1371814,0.16902983,0.21638048,0.26739037,0.30823922,0.3311201,0.33947384,0.3406544,0.33882287,0.3312249,0.3129717,0.2814276,0.23983109,0.1970436,0.16540511,0.1534821,0.15980865,0.17125173,0.1725843,0.15747607,0.13443041,0.11968111,0.12494424,0.14861621,0.17696251,0.19492579,0.19579922,0.18540984,0.175502,0.17543109,0.18608181,0.20244695,0.22196467,0.251393,0.3035242,0.38193974,0.47003385,0.5366743,0.5591948,0.5386004,0.4960883,0.45426843,0.42704692,0.42084262,0.4406514,0.48483452,0.5386718,0.57563657,0.5760835,0.5411635,0.49240658,0.45148528,0.42589042,0.40566823,0.37728634,0.3346134,0.28598258,0.2475339,0.23312253,0.24450834,0.27086338,0.29676577,0.31116876,0.3122842,0.30461216,0.29318193,0.27883574,0.2582381,0.22931206,0.19589569,0.16874357,0.15812154,0.16793562,0.19226806,0.22124547,0.2452467,0.25998387,0.26491058,0.26218736,0.25264305,0.23571283,0.2112865,0.18392736,0.16226357,0.15367371,0.15865274,0.17191261,0.18836547,0.20646046,0.22588378,0.24314602,0.25276068,0.25119945,0.24059755,0.22608168,0.21144705,0.19604373,0.17759794,0.15699302,0.14009021,0.13312449,0.13617897,0.1419245,0.14117183,0.13124095,0.11946086,0.11937842,0.14043546,0.17922826,0.21956737,0.24313027,0.24135287,0.2192343,0.18916692,0.16332527,0.14994286,0.15407611,0.17663427,0.21329351,0.25347587,0.28553507,0.30096284,0.29858276,0.28193963,0.25738865,0.23036355,0.20502298,0.1831965,0.16521998,0.15005083,0.13673796,0.12513499,0.11644622,0.11176041,0.110918514,0.11221077,0.11420217,0.11683031,0.12135134,0.12851833,0.13783742,0.14782539,0.15738277,0.16617863,0.17416213,0.18063374,0.18390216,0.18197586,0.17446004,0.1640613,0.15685277,0.15772988,0.16721898,0.17949545,0.18932348,0.19601093,0.20583063,0.2245227,0.2524837,0.28211823,0.3034872,0.3108292,0.3069495,0.3014635,0.30306995,0.31373405,0.32640696,0.33187464,0.32442346,0.30703843,0.28788555,0.27477208,0.2678924,0.26012444,0.2432727,0.2162264,0.18653505,0.16565965,0.16268645,0.18011421,0.21272504,0.24905849,0.27710733,0.290432,0.2906206,0.28433082,0.27826652,0.276131,0.27785802,0.2809527,0.28319678,0.28505966,0.2904247,0.30397388,0.32750168,0.3575004,0.38621807,0.40640208,0.41414478,0.4089782,0.3891656,0.3529137,0.3011781,0.24355912,0.1928308,0.15961502,0.14654385,0.15401782,0.1823284,0.23098831,0.2917738,0.34970704,0.39024857,0.4081277,0.40737948,0.39537975,0.3772312,0.35588574,0.3343219,0.3162321,0.30391905,0.29696897,0.29305804,0.28983653,0.28635255,0.28230366,0.2778293,0.27253678,0.26651284,0.25973904,0.25268832,0.24533318,0.23787136,0.23035751,0.22335212,0.2171141,0.21191424,0.20773925,0.20482166,0.20328952,0.20305766,0.20365982,0.20380752,0.20158671,0.19535922,0.18636934,0.17966603,0.1812933,0.19339468,0.21124415,0.22742628,0.23725234,0.24281323,0.24914448,0.26029947,0.2756563,0.29217914,0.306318,0.31713417,0.325413,0.33267295,0.33846936,0.34109285,0.3386755,0.33131453,0.32026827,0.30769578,0.2956232,0.28630137,0.28077933,0.27850226,0.27745247,0.27594712,0.2737769,0.27169797,0.2702049,0.2685101,0.2653891,0.260089,0.2524993,0.24179935,0.22628276,0.20498157,0.18006246,0.15653963,0.14010592,0.1346631,0.14179832,0.16038883,0.18669088,0.2144279,0.23694925,0.24905384,0.24952056,0.24106584,0.22954935,0.21997386,0.2144767,0.21156864,0.2089662,0.2043821,0.19660468,0.18491189,0.17050874,0.15547256,0.1417402,0.12928602,0.117512494,0.106568925,0.09796936,0.092859425,0.09102904,0.09113049,0.09192977,0.09282613,0.09358915,0.093986295,0.09378164,0.092989944,0.09192363,0.090868056,0.089766465,0.088121414,0.085471414,0.08174821,0.07751305,0.07349512,0.07029083,0.068043806,0.066703945,0.06618316,0.06647534,0.067466915,0.068740584,0.069583975,0.0692816,0.06751061,0.06461567,0.061402455,0.058707595,0.056891114,0.055796564,0.054994732,0.054097626,0.052908745,0.0513792,0.049651254,0.04793955,0.04650645,0.045426447,0.04470251,0.044366464,0.044760313,0.046472028,0.050055534,0.05566449,0.062694855,0.0699069,0.0755817,0.07820377,0.07713204,0.073717676,0.071761936,0.07605851,0.089429475,0.110341646,0.13479708,0.1597954,0.18533693,0.211662,0.23669195,0.2561566,0.26684725,0.26814625,0.26159063,0.24925773,0.23384662,0.21836615,0.20579396,0.19734563,0.19245368,0.18923496,0.18628472,0.18310283,0.18000118,0.17707072,0.17390738,0.16997518,0.16528584,0.16032372,0.15506049,0.14818102,0.13787359,0.123587064,0.107274055,0.09236898,0.082455866,0.08044979,0.08890104,0.108642936,0.13683549,0.16624592,0.18833925,0.19741632,0.1925519,0.17599864,0.15143697,0.12387344,0.1006492,0.089149654,0.09305603,0.109086245,0.12948436,0.14593635,0.15332353,0.15039487,0.14053309,0.13175602,0.13408951,0.15373778,0.18791597,0.2258544,0.25562695,0.27158523,0.27610433,0.27561212,0.2751912,0.2762762,0.2777338,0.27786115,0.27546474,0.26955044,0.2589446,0.24231155,0.21938954,0.19520271,0.18296623,0.20413335,0.27203467,0.37791935,0.4830904,0.5464304,0.5493383,0.51128715,0.4652085,0.4352617,0.42348015,0.42200828,0.42253196,0.42214265,0.41992423,0.4165682,0.41235754,0.40796924,0.4033312,0.3998277,0.40065292,0.4107602,0.43213585,0.4594269,0.48011327,0.48220834,0.46405125,0.4351304,0.4086204,0.3913872,0.38319898,0.3812493,0.38424706,0.39146864,0.40008268,0.40637568,0.40789703,0.40561458,0.40184435,0.3998272,0.4043735,0.42346,0.46412113,0.5229164,0.5804764,0.6091435,0.5931468,0.54101425,0.4796693,0.43410066,0.4156449,0.4245286,0.4584187,0.5107151,0.56448513,0.59454197,0.5836026,0.53661203,0.47715458,0.42999235,0.4062961,0.40486586,0.4195763,0.44296536,0.46435666,0.47137558,0.4581596,0.42988455,0.3995576,0.37756813,0.36677608,0.36335933,0.3624651,0.3615484,0.36097375,0.362586,0.36737844,0.37502757,0.38342726,0.39039412,0.39637303,0.4074657,0.4350675,0.48441195,0.54480296,0.58807564,0.59005225,0.54908574,0.48942065,0.440534,0.4174869,0.4170266,0.4275812,0.44001162,0.45004973,0.4563496,0.4584676,0.45654932,0.45143127,0.4443531,0.4371458,0.43329653,0.4378452,0.4535872,0.47701645,0.49756622,0.5058726,0.49979046,0.48633218,0.47336188,0.46476743,0.45871913,0.4522519,0.4442867,0.4369212,0.43365905,0.43674743,0.44555998,0.45710775,0.46780133,0.4755969,0.48221898,0.49482688,0.52149826,0.56209207,0.6010607,0.61646897,0.59668285,0.5518864,0.5036081,0.46964684,0.45500818,0.46055305,0.4858835,0.52763134,0.56980354,0.5921845,0.5830707,0.55123776,0.51567274,0.49178335,0.4825984,0.484332,0.49243164,0.50229806,0.5083311,0.50478834,0.4915717,0.4737679,0.4589866,0.45104656,0.44959578,0.4518756,0.4550813,0.45784464,0.45944992,0.46075997,0.46210513,0.4635663,0.46382177,0.46278062,0.4638526,0.47486544,0.50401855,0.5495618,0.5956998,0.61845285,0.6046281,0.56129247,0.5105582,0.47210053,0.4523687,0.44688308,0.44781408,0.4508959,0.45479298,0.46016347,0.4666972,0.4735329,0.47911194,0.4823126,0.48293075,0.48262143,0.48424232,0.48917142,0.49420634,0.49269816,0.48015988,0.45909417,0.4378653,0.42372665,0.41845247,0.4180995,0.418528,0.41777912,0.41750598,0.41956905,0.4248571,0.4320041,0.43936265,0.44596967,0.45331523,0.46573612,0.48997864,0.5278435,0.56959873,0.5935025,0.5824888,0.5388879,0.4857545,0.44698158,0.43264106,0.43853354,0.46057856,0.49630216,0.53970283,0.57192177,0.57487005,0.5439659,0.49672866,0.4551318,0.43215573,0.42539716,0.42939624,0.44041157,0.45599508,0.4681344,0.46826503,0.45390496,0.43269968,0.41469193,0.40532508,0.40286186,0.40242577,0.40001544,0.39486885,0.3893853,0.38697472,0.38931325,0.3951987,0.40188456,0.40863827,0.41946533,0.4436808,0.4884026,0.5486006,0.6011006,0.61740977,0.5837032,0.51420015,0.4398754,0.3875482,0.3649256,0.36393845,0.37165675,0.3793838,0.38418078,0.38683638,0.3883247,0.3887109,0.38710997,0.38423797,0.3830476,0.38919166,0.40682366,0.43495306,0.46443626,0.483508,0.48564088,0.47478604,0.46049038,0.45000103,0.44376874,0.4387571,0.4327246,0.4268708,0.42374873,0.42492017,0.42936084,0.43424392,0.43755054,0.43907404,0.44248235,0.45417798,0.48150852,0.5237877,0.5674607,0.5897687,0.5763893,0.53367954,0.48522523,0.45280966,0.44482848,0.45840898,0.4903024,0.53541166,0.581655,0.6080746,0.6005836,0.5631735,0.5162638,0.47903457,0.45826793,0.45032176,0.45162466,0.46083653,0.47540593,0.48618174,0.48470703,0.46896124,0.44708934,0.42836294,0.4178232,0.41419622,0.41452956,0.41639853,0.41862392,0.42043772,0.42191374,0.42340723,0.42550096,0.42762867,0.4303186,0.43650696,0.454043,0.48814905,0.5352344,0.57734156,0.59536415,0.5808768,0.5447306,0.5052491,0.47678998,0.46200612,0.45678738,0.4558451,0.45637462,0.4572108,0.45737362,0.45537707,0.45024344,0.44258472,0.43561092,0.43374833,0.4414421,0.45872042,0.48015943,0.49508175,0.49573925,0.48175097,0.46061218,0.43982825,0.42289865,0.40998542,0.4024086,0.40298286,0.41327477,0.4305333,0.44909883,0.46334115,0.47073558,0.4709963,0.46621013,0.46124053,0.46582666,0.48884425,0.5296747,0.5715496,0.5919911,0.578175,0.5379306,0.48978576,0.45126846,0.430288,0.43200353,0.4580888,0.5043337,0.55253416,0.57939154,0.5700384,0.53023237,0.48036408,0.4413022,0.42343792,0.42633367,0.44444466,0.46977118,0.49293187,0.50444525,0.50050026,0.48504755,0.46755472,0.45497012,0.4491556,0.44771922,0.44916883,0.45256314,0.4568473,0.45900777,0.45700812,0.45116973,0.44441953,0.4392562,0.4384029,0.44643387,0.4708,0.5132523,0.56281465,0.5965736,0.5964298,0.56261754,0.5133564,0.47010115,0.44387993,0.4343609,0.43502498,0.44043624,0.44686994,0.45244002,0.45522475,0.45380902,0.4483982,0.44162104,0.43829808,0.44243053,0.4555329,0.4739608,0.4909718,0.49914965,0.49647987,0.486865,0.4774234,0.47245514,0.47139847,0.4709922,0.46801746,0.462028,0.4546834,0.449802,0.4497076,0.45416787,0.458878,0.458959,0.45288518,0.44683054,0.45361957,0.4823358,0.5276213,0.5669109,0.57778674,0.5550082,0.51570135,0.48212835,0.46681085,0.4696947,0.48913267,0.52440834,0.5704012,0.60972935,0.6219979,0.5978441,0.5489644,0.4979923,0.46431902,0.45389792,0.46297967,0.48287478,0.5040548,0.5165001,0.5141217,0.49835014,0.47734144,0.459669,0.44799873,0.44017792,0.43318534,0.4273378,0.42512834,0.4284936,0.43710232,0.44802615,0.45847344,0.46622786,0.47212753,0.47936538,0.49445102,0.522124,0.5597393,0.5930348,0.604265,0.5853872,0.54648405,0.50749034,0.4835604,0.47605005,0.4769404,0.47759715,0.47400984,0.4656889,0.45405802,0.4413514,0.4317639,0.42900762,0.43537796,0.44998956,0.47124615,0.4966936,0.52159166,0.537955,0.5378602,0.5205639,0.49383286,0.46946216,0.4545356,0.4488944,0.4476215,0.4462615,0.4432516,0.4397601,0.43805468,0.43952248,0.44377097,0.4485369,0.45182452,0.4546007,0.46287873,0.4850451,0.52291703,0.5651124,0.58987236,0.5823087,0.54625875,0.50276,0.4720291,0.4628657,0.47326598,0.49980417,0.537478,0.5752546,0.59541637,0.58489966,0.54680663,0.49817705,0.45857656,0.43750402,0.43638864,0.45124605,0.47645935,0.5017154,0.51533145,0.5109181,0.49284175,0.47324762,0.46228084,0.4620653,0.4669408,0.46996263,0.46725664,0.4603791,0.45348504,0.45071316,0.45260808,0.45746294,0.46239936,0.4672766,0.4749454,0.4924152,0.52390796,0.56466144,0.59669703,0.6008501,0.571539,0.5230537,0.47789952,0.45091125,0.44564247,0.4596435,0.49013963,0.5293146,0.5622146,0.5721214,0.5533132,0.5152057,0.4754981,0.44760573,0.43727446,0.4448937,0.4692103,0.50320715,0.5323561,0.5404257,0.52159005,0.4862399,0.45207497,0.4325594,0.43070003,0.44563806,0.4747351,0.5121257,0.54384845,0.5549068,0.5402469,0.5100979,0.48120055,0.46429238,0.4610149,0.469298,0.48883235,0.5159784,0.5404213,0.54698104,0.5297422,0.4964135,0.46465003,0.4468663,0.4466044,0.46083713,0.48707947,0.5202121,0.5496022,0.56093174,0.54772943,0.51671684,0.48329446,0.45930484,0.4489286,0.4517963,0.46836504,0.4966229,0.52738446,0.5449919,0.5386234,0.5115902,0.47897682,0.45528933,0.4457321,0.44902655,0.46425614,0.49009123,0.5190945,0.53602177,0.52918607,0.49990368,0.4630742,0.43393043,0.42050967,0.42287564,0.4420644,0.47719646,0.52238536,0.55905217,0.5690942,0.54368734,0.49142173,0.42534986,0.35674584,0.2929672,0.2452138,0.22571903,0.24038792,0.280311,0.32703146,0.3619618,0.3771017,0.37452278,0.36242095,0.34807456,0.3357418,0.32639566,0.31936955,0.31319204,0.30613458,0.29648194,0.28330564,0.26708138,0.24996273,0.23423582,0.2206893,0.2080367,0.19468461,0.18036051,0.1658485,0.15175587,0.13794507,0.124715514,0.112825625,0.10293897,0.09463548,0.0872795,0.080750264,0.075395145,0.071084656,0.06714338,0.06308296,0.0591862,0.055955883,0.053530663,0.051584806,0.04998247,0.048829734,0.048150137,0.047513094,0.04639097,0.04464471,0.042566344,0.04044282,0.038195,0.035495378,0.03210944,0.02816219,0.02409874,0.020435194,0.01743054,0.014966641,0.012720343,0.010496165,0.00837099,0.006581793,0.0052862666,0.0044660657,0.00397006,0.0036442745,0.0033954922,0.0031977228,0.0030458465,0.0029276886,0.0028201472,0.0027062586,0.0025824283,0.0024549142,0.0023294475,0.0022076636,0.0020875626,0.00196374,0.0018318672,0.0016909434,0.0015488901,0.0014147004,0.0012941387,0.0011817702,0.0010675052,0.0009380069,0.00078679,0.0006161462,0.00044935485,0.00034103837,0.0003993051,0.0007920169,0.001717736,0.0033211967,0.0056016133,0.008362892,0.011236213,0.013728708,0.015295316,0.01548344,0.0142975785,0.012984426,0.014436367,0.022822225,0.04088324,0.067770205,0.09733579,0.121156864,0.13170926,0.12729171,0.112120844,0.09510064,0.08481985,0.08681104,0.10153667,0.12519501,0.15099247,0.17218201,0.18497252,0.18957388,0.18858849,0.18435036,0.17906402,0.17536306,0.17690592,0.18505909,0.19784337,0.21005052,0.21716289,0.21653767,0.20815848,0.19382267,0.17774488,0.16542059,0.16119559,0.16540548,0.17424482,0.18252261,0.18691778,0.18752094,0.18658715,0.18672968,0.18939197,0.19524099,0.20428163,0.21626063,0.2299201,0.24356483,0.25499275,0.26183912,0.26294842,0.26264286,0.27449703,0.31308708,0.37923193,0.4483106,0.48679614,0.47547308,0.42693782,0.3688799,0.32508275,0.30014622,0.28834525,0.2812996,0.2761183,0.27279484,0.2722542,0.27310583,0.27262098,0.26836392,0.2607322,0.25367147,0.25478843,0.270413,0.2992673,0.32842255,0.3409203,0.32859692,0.29831037,0.26543805,0.24116403,0.22795004,0.22240047,0.22130962,0.2229662,0.22562337,0.22726993,0.22603403,0.22243442,0.21783595,0.21477784,0.21777052,0.2363692,0.2817599,0.35423565,0.43366417,0.48524842,0.48471618,0.43593344,0.36719975,0.30812743,0.2750961,0.2729478,0.30347386,0.36118993,0.4263871,0.46685302,0.46092525,0.4123827,0.34799471,0.2942135,0.26391134,0.25765142,0.27302575,0.3053564,0.34450182,0.37477025,0.38506448,0.37453803,0.35273626,0.32935026,0.30968282,0.29364693,0.28093696,0.27273378,0.27199507,0.28004396,0.29512295,0.31118998,0.32233223,0.32569906,0.32629153,0.3344592,0.36332142,0.4163411,0.48032406,0.52418333,0.51934963,0.46013105,0.3705403,0.2866531,0.23291151,0.21353008,0.2190889,0.24005045,0.2704639,0.30574882,0.33884874,0.361524,0.36889935,0.36148056,0.34550455,0.32998678,0.32501885,0.33516538,0.3557807,0.37219772,0.37091854,0.34871516,0.31563035,0.28507784,0.2650666,0.25576544,0.2542068,0.25833148,0.26607677,0.27395216,0.27672735,0.27158076,0.2592957,0.2439527,0.23065309,0.22704668,0.24525332,0.29487017,0.3711963,0.44592452,0.48360524,0.46421862,0.40109983,0.32522514,0.2660986,0.23711173,0.24422176,0.28811613,0.36037925,0.4352131,0.47988948,0.47566172,0.43094945,0.37177786,0.32182333,0.2913369,0.28108636,0.28918704,0.31124493,0.33732486,0.35385337,0.3526832,0.33529148,0.31021416,0.28445327,0.26224536,0.24725844,0.24482353,0.25719127,0.27929637,0.30030978,0.31129995,0.31074515,0.3030659,0.29356858,0.28764513,0.29349044,0.32294905,0.37868857,0.4453163,0.48968074,0.48751435,0.43952847,0.37282196,0.31572554,0.2817838,0.26744244,0.26369873,0.26425514,0.26624408,0.26746285,0.2656927,0.2599192,0.25167024,0.24363835,0.23985319,0.24536507,0.26613867,0.3022304,0.34473398,0.37649652,0.38560042,0.3714886,0.34571186,0.3199481,0.30085385,0.28880903,0.28290817,0.2826056,0.2876608,0.29653302,0.30627564,0.3130848,0.3143035,0.30898806,0.300675,0.2982373,0.3162782,0.3631674,0.4303402,0.4877616,0.50445753,0.468655,0.39621595,0.31380618,0.24458005,0.20422806,0.20719545,0.25882205,0.3434495,0.41989228,0.44808015,0.41661382,0.35294008,0.2968526,0.2728661,0.27964294,0.30440348,0.3353459,0.364279,0.38111326,0.37685397,0.3504018,0.31224337,0.27698758,0.25392762,0.2439497,0.24396618,0.252067,0.26734063,0.28712404,0.3053811,0.31576243,0.31468722,0.30292,0.2853433,0.27176023,0.2772082,0.31347936,0.37709442,0.44182825,0.47375998,0.4540592,0.39354387,0.32118833,0.26347563,0.2310236,0.221304,0.22670817,0.23975246,0.25395712,0.2645643,0.26948538,0.2694712,0.26644465,0.26252255,0.26096,0.26707575,0.28559813,0.3138182,0.33937418,0.34601393,0.3270502,0.28983235,0.25075415,0.22224592,0.20807941,0.20512496,0.2089141,0.215506,0.22104,0.22215986,0.2176582,0.21013145,0.20456342,0.20505144,0.2147399,0.23769534,0.28197697,0.34839484,0.4233016,0.47495723,0.47910216,0.4333215,0.3622974,0.29290915,0.24331518,0.2207856,0.23331855,0.28202522,0.35216144,0.40824184,0.41976228,0.3811802,0.31910866,0.26704815,0.24618582,0.25727692,0.29119226,0.3350742,0.3753985,0.39794365,0.39518163,0.37095484,0.33978066,0.31592575,0.3053554,0.30493197,0.30883133,0.31357065,0.31807128,0.3210328,0.3196703,0.310886,0.2937437,0.2702962,0.24750113,0.23728313,0.25645885,0.3136309,0.39765975,0.47165635,0.49741122,0.4599335,0.38083485,0.29625607,0.23360407,0.19880141,0.18659566,0.19045778,0.20673881,0.23053078,0.2546067,0.27228162,0.2809089,0.28176475,0.27702358,0.269655,0.26541883,0.2715923,0.29020452,0.3118907,0.32137397,0.3099623,0.28363052,0.2571623,0.24119683,0.23619641,0.23618715,0.23734689,0.23971911,0.24361885,0.24659693,0.24607517,0.24380209,0.24380301,0.24796759,0.25555158,0.2705641,0.30277446,0.35609415,0.41474083,0.448123,0.43511608,0.38233075,0.317834,0.2685895,0.24741673,0.25740108,0.29805613,0.3615891,0.42521653,0.459342,0.44731018,0.39986292,0.3447107,0.30607262,0.29101035,0.29538137,0.31290174,0.3382182,0.3637576,0.37948862,0.37988672,0.3667722,0.3478448,0.32869795,0.31158158,0.29665267,0.28533638,0.2788274,0.27629673,0.2741194,0.2681961,0.25591,0.23780292,0.21697225,0.20137465,0.20342521,0.23913927,0.31228772,0.4053599,0.47804785,0.49743307,0.4583963,0.3895011,0.32487765,0.28399715,0.26509762,0.258142,0.25480425,0.2519469,0.24913563,0.24662594,0.24468254,0.24388194,0.2447874,0.2485526,0.25750282,0.27578783,0.3045148,0.33772585,0.36124137,0.363683,0.3447076,0.3171004,0.29474026,0.28431666,0.28320536,0.28658256,0.29119444,0.29545012,0.29728177,0.29504624,0.29025686,0.2875707,0.29176036,0.3049039,0.32780138,0.36257747,0.40966544,0.46078214,0.4967289,0.49843693,0.4628885,0.40734425,0.357059,0.32862067,0.3257741,0.34657678,0.38765338,0.4393411,0.48008242,0.48607668,0.4483377,0.3817936,0.3127326,0.26185885,0.23622851,0.23630364,0.2597238,0.29979146,0.3415666,0.36815086,0.37103868,0.35444817,0.32934737,0.30399424,0.28148293,0.2629036,0.25060427,0.2471248,0.25212348,0.26211002,0.2726858,0.2814091,0.28781918,0.2925518,0.2983228,0.31269798,0.34566268,0.39926472,0.45801196,0.49452448,0.48941955,0.4464854,0.38812065,0.33711502,0.30373907,0.28648236,0.2797223,0.27891985,0.2806796,0.28132775,0.2773372,0.267856,0.25647345,0.24980795,0.25357586,0.27006653,0.2975217,0.3303956,0.3596944,0.37511373,0.37099054,0.34960017,0.32055497,0.2934034,0.2736577,0.26206514,0.258731,0.26436564,0.2785589,0.29709235,0.3122324,0.31755182,0.3116807,0.29934666,0.28944793,0.29299256,0.32109883,0.3750104,0.44051647,0.48793778,0.49445942,0.45826533,0.40193164,0.3513017,0.32308912,0.32159612,0.3477721,0.39662412,0.45286664,0.48903942,0.48328698,0.43461868,0.36626267,0.30677637,0.27293873,0.26547563,0.2786951,0.306075,0.3394532,0.36543092,0.37269402,0.3590015,0.33438364,0.31157556,0.29867113,0.2962574,0.30124125,0.30988824,0.31900215,0.32642868,0.33117414,0.33347818,0.33387205,0.33247826,0.33061793,0.33310106,0.35029113,0.3889413,0.44251668,0.48438522,0.4870262,0.44136515,0.36910674,0.3017684,0.2615069,0.24885471,0.2553225,0.27160653,0.29284966,0.31408492,0.33086744,0.34097174,0.34608522,0.34966788,0.35404888,0.36018538,0.36950338,0.38358077,0.40162292,0.41778636,0.42471063,0.41868332,0.40265235,0.38250622,0.36301884,0.34670255,0.33637258,0.334667,0.34160718,0.35156488,0.35710263,0.3542061,0.34554124,0.336274,0.3295845,0.3282193,0.33863807,0.37084487,0.42546988,0.48643622,0.52541924,0.52383024,0.48433292,0.42692438,0.37242654,0.33490822,0.323706,0.3447694,0.39263883,0.44488668,0.469636,0.450243,0.3976257,0.34434998,0.31663442,0.32110605,0.3456967,0.37663087,0.40305904,0.4180782,0.4149542,0.3941486,0.364778,0.34175813,0.33393928,0.33962512,0.3500216,0.35720754,0.35835668,0.354158,0.34643793,0.33646238,0.32483098,0.3118436,0.2978138,0.28578043,0.2828046,0.30046186,0.34455898,0.40654576,0.45933744,0.47615767,0.4480456,0.39230752,0.33496344,0.29551163,0.28130743,0.29669222,0.34213665,0.40807304,0.4678457,0.493484,0.47261712,0.41968277,0.35998785,0.31375483,0.28470865,0.26679465,0.25167468,0.235714,0.21976636,0.20698605,0.19926333,0.19544826,0.19206369,0.1855225,0.17474993,0.16254826,0.15485017,0.15789819,0.17332035,0.19571687,0.21405928,0.2192806,0.20961215,0.19136566,0.17241581,0.1583233,0.15113695,0.15185083,0.15943487,0.17049088,0.17988606,0.18448262,0.18496561,0.18465269,0.18619819,0.18881983,0.18879104,0.1819977,0.16795732,0.15181713,0.14380287,0.15452898,0.18893363,0.24049546,0.2927544,0.32520768,0.32562903,0.29524523,0.24983943,0.20837605,0.18389952,0.1759842,0.17500849,0.16985239,0.15672578,0.14191891,0.13808613,0.15574445,0.19475012,0.2420106,0.27809668,0.28824022,0.27001283,0.23318924,0.1964581,0.18234311,0.210622,0.2838206,0.3812884,0.4653524,0.50852877,0.50727355,0.48101828,0.45039168,0.42828444,0.4203329,0.4323323,0.4662315,0.5130656,0.5524222,0.56504184,0.5455857,0.5044448,0.45723376,0.4146476,0.37930688,0.3507119,0.32713524,0.30796468,0.28944325,0.26867157,0.24178587,0.20945907,0.1732092,0.13908412,0.114937074,0.11155436,0.13554478,0.18559623,0.24811625,0.30366555,0.33343875,0.33050165,0.29983366,0.25673994,0.2153914,0.18393414,0.1613937,0.14350773,0.12711693,0.11327682,0.10634494,0.112715006,0.13732272,0.18004464,0.23217724,0.28069612,0.31469262,0.33230886,0.33808282,0.33808574,0.33444342,0.3259555,0.30969778,0.2834801,0.24782778,0.20811522,0.17413943,0.15445548,0.15001732,0.15229893,0.15043312,0.1395524,0.12479448,0.11646414,0.1220209,0.14051044,0.16289733,0.1785269,0.18174289,0.17554016,0.16849737,0.16801573,0.1750461,0.18478678,0.19549628,0.21551566,0.25936994,0.33170435,0.41497087,0.47829127,0.49965486,0.48215842,0.44596195,0.41130054,0.38853702,0.3827751,0.3979716,0.43251395,0.47278225,0.49697623,0.4902934,0.45617998,0.4130808,0.3787403,0.35786834,0.34153584,0.31784403,0.28300786,0.2461493,0.22244237,0.22237061,0.24296618,0.27102545,0.2907979,0.2928526,0.2765739,0.24905433,0.22003435,0.19519465,0.17352147,0.15115301,0.1284913,0.11236241,0.11000178,0.12321782,0.14649189,0.17256558,0.19633149,0.21640974,0.23239672,0.24234472,0.24264008,0.22992437,0.20523162,0.17478943,0.14798778,0.13108526,0.1246172,0.1249429,0.12961183,0.13865465,0.15236855,0.16798234,0.18077104,0.18713234,0.18668276,0.1805901,0.16903727,0.15067454,0.12509742,0.0953722,0.06770936,0.04766057,0.03686786,0.032611404,0.031219214,0.031349044,0.035722617,0.048899498,0.0732162,0.104931615,0.13526186,0.15549332,0.1632569,0.16292782,0.1624373,0.16715012,0.17938161,0.19762947,0.21977396,0.24205208,0.2613714,0.2744712,0.2797915,0.2766542,0.26629874,0.25083122,0.23344578,0.21646267,0.20173986,0.18930139,0.17950696,0.17213161,0.16790235,0.16618992,0.16611913,0.1658429,0.16470732,0.16264737,0.16060852,0.15914492,0.15861093,0.15874547,0.1593156,0.1601814,0.16145456,0.16317566,0.1648962,0.1657951,0.16504548,0.16275679,0.15998407,0.15832575,0.15853031,0.16022079,0.16249254,0.1659327,0.17331727,0.18817645,0.21123625,0.2380652,0.26065326,0.27190658,0.27078918,0.26264223,0.2567259,0.25894395,0.26958665,0.28213486,0.29033828,0.29017618,0.28329358,0.2726393,0.2613634,0.24911165,0.23364049,0.21310896,0.18931705,0.1676377,0.15405427,0.15355463,0.16816227,0.19638343,0.23059575,0.25999364,0.27488756,0.27324834,0.26009297,0.24427985,0.23237307,0.22684568,0.22647953,0.22978906,0.23702835,0.25054875,0.27261603,0.30304423,0.33727708,0.36745915,0.38521805,0.3866993,0.37362778,0.35132805,0.32390606,0.29334784,0.26194885,0.23386393,0.21395026,0.20441353,0.20552152,0.21715869,0.24010873,0.27349082,0.31278744,0.3502516,0.3780593,0.39111754,0.38796028,0.37021485,0.342001,0.30941504,0.27930322,0.25661814,0.24243142,0.23416962,0.22895639,0.22561194,0.22432898,0.22414619,0.22326112,0.2207899,0.21777505,0.21511912,0.2121342,0.20753388,0.20187987,0.19691868,0.19398291,0.19232814,0.19117135,0.18994407,0.18863535,0.18634385,0.1824121,0.17688799,0.1708012,0.16539846,0.16215996,0.16295652,0.1690227,0.17970508,0.1920339,0.20308094,0.21173269,0.219599,0.22878551,0.24045824,0.25381598,0.2672447,0.27933475,0.28948203,0.29772186,0.30399665,0.308001,0.30921343,0.30778122,0.3050178,0.30324885,0.30478802,0.3106805,0.32022855,0.3310654,0.3402116,0.34528133,0.34558335,0.34200504,0.3357494,0.32727817,0.31633565,0.30321357,0.28922832,0.2758465,0.2632171,0.2501067,0.23538367,0.21949191,0.20406593,0.19135499,0.18373138,0.1843702,0.19487,0.21325578,0.23283136,0.24671732,0.25131896,0.24795528,0.23973952,0.22977139,0.21985777,0.2113409,0.2046773,0.19988161,0.19564034,0.19017094,0.1819392,0.17177238,0.162214,0.15533231,0.1503383,0.14467017,0.13678448,0.127727,0.11961555,0.113609366,0.10932083,0.105932094,0.10308594,0.10082061,0.099114604,0.09783104,0.097227484,0.09816361,0.101394445,0.106447004,0.111231215,0.11334971,0.11191654,0.10828809,0.10491359,0.103483506,0.10412642,0.105770074,0.107158564,0.10747224,0.10666293,0.10542977,0.10462913,0.104618914,0.10484018,0.104613274,0.10383015,0.103250146,0.10361246,0.10524398,0.107842885,0.111112915,0.114459835,0.11731746,0.11873293,0.118345916,0.116294466,0.11375984,0.11188998,0.1114535,0.11211922,0.11308033,0.113180555,0.11131367,0.10602502,0.09636513,0.08255604,0.066885605,0.05266303,0.043335814,0.041980047,0.05073778,0.06955134,0.09433059,0.119267106,0.13999243,0.15698457,0.17281777,0.18987459,0.20769572,0.22522731,0.24133427,0.2562648,0.27013558,0.28287378,0.29320288,0.2996204,0.3010608,0.29805347,0.29244754,0.2864939,0.28179106,0.27858174,0.27611676,0.2725956,0.26619408,0.25534442,0.23990668,0.22058631,0.19840188,0.1739502,0.14814775,0.12303811,0.101837195,0.08853368,0.087833144,0.10420236,0.13838662,0.18356834,0.22625923,0.25402173,0.26253715,0.25618377,0.24064623,0.21925135,0.19445165,0.17316903,0.16387402,0.17054898,0.18779987,0.20551027,0.21495773,0.21294822,0.20165384,0.18795206,0.18169235,0.19047876,0.21481419,0.24687147,0.2764884,0.29692993,0.30742678,0.31035486,0.3084954,0.30387092,0.29825035,0.2931389,0.28915873,0.28562602,0.2811552,0.2742271,0.2637061,0.24844821,0.23093878,0.22017322,0.23366982,0.2834387,0.36388072,0.4456954,0.49843732,0.51016814,0.4952409,0.4757737,0.46525684,0.4641122,0.46709087,0.47055545,0.473495,0.47731003,0.48374987,0.49420533,0.5074143,0.5209417,0.53264767,0.54325557,0.55425954,0.56485385,0.5696725,0.5614144,0.5375528,0.5043202,0.47397006,0.4557267,0.44982246,0.44983962,0.44955444,0.44737682,0.44441292,0.44157144,0.4385279,0.43494058,0.43118438,0.4274405,0.42510664,0.42734644,0.44106635,0.4697713,0.50874835,0.54021215,0.5463329,0.5206559,0.4766871,0.43463647,0.4096212,0.40466118,0.41981372,0.4538459,0.5012429,0.5433566,0.5583647,0.5352868,0.48708043,0.43839177,0.41001153,0.4058012,0.4189868,0.43974984,0.46014047,0.47308996,0.47287062,0.45963633,0.43974456,0.42258987,0.41322294,0.41087484,0.4118333,0.412963,0.41323993,0.4111282,0.4062549,0.39888847,0.39265868,0.3905077,0.39510003,0.40775535,0.43258476,0.47272792,0.52344865,0.5653743,0.5738883,0.53836495,0.47524226,0.4168551,0.3882455,0.39134064,0.41192207,0.4337065,0.44924915,0.45791253,0.46255255,0.46488145,0.4650892,0.46130046,0.45224297,0.44003054,0.43064263,0.43129444,0.44320962,0.4607835,0.47292694,0.4738386,0.46418723,0.4513878,0.44032943,0.43324184,0.4287684,0.4264351,0.42556748,0.4260141,0.4266324,0.4263964,0.42455626,0.42166594,0.41882554,0.41824067,0.42380643,0.4427794,0.478928,0.5265704,0.5658031,0.57756335,0.5553805,0.51351297,0.47167876,0.44539952,0.43905592,0.45448983,0.48869625,0.5331204,0.5679295,0.5762653,0.5533228,0.51415104,0.47781122,0.45741162,0.45290077,0.4601129,0.47345993,0.4876159,0.49491057,0.49047375,0.47602877,0.45971563,0.4488566,0.44514576,0.44524825,0.44534257,0.44343865,0.43950117,0.43394658,0.42782775,0.42223498,0.41849145,0.41715705,0.41925907,0.4276003,0.4478369,0.48304787,0.527061,0.5612083,0.5667471,0.5388325,0.4937797,0.45427573,0.43408927,0.43019506,0.43296167,0.43570223,0.43844864,0.44306758,0.4492682,0.45442745,0.45616496,0.4543806,0.45103732,0.44921327,0.45155492,0.45913205,0.46927056,0.47637782,0.47484908,0.46429944,0.44959715,0.43710634,0.42981613,0.42690328,0.4269147,0.4290597,0.43340334,0.43869734,0.44393072,0.44835594,0.45254257,0.4564265,0.45969763,0.46357068,0.47268465,0.49376997,0.5261009,0.55742145,0.5667324,0.5442878,0.49926445,0.45588383,0.43102834,0.4277242,0.43916515,0.46257362,0.49603772,0.5322936,0.55370086,0.5462525,0.51117545,0.4667648,0.4329996,0.41847742,0.42004105,0.43144715,0.44832012,0.46636024,0.47828904,0.47950396,0.47074854,0.45928118,0.45004556,0.44435704,0.43950662,0.43434522,0.4284821,0.4218832,0.41309646,0.40204665,0.39142802,0.3860754,0.38878027,0.39992663,0.4201225,0.45427904,0.50341564,0.5566935,0.58744824,0.5743096,0.5173114,0.44340572,0.3827192,0.3511641,0.34472072,0.35299453,0.36784038,0.38521823,0.40037656,0.40779915,0.4037607,0.38966367,0.371029,0.35508028,0.34908733,0.35874495,0.38613388,0.42506227,0.4626781,0.48447037,0.4847685,0.4678929,0.4451847,0.42525598,0.41185662,0.40406522,0.40124592,0.40300974,0.40854523,0.41455758,0.41747987,0.4154857,0.41023192,0.40570274,0.4078745,0.423412,0.45586672,0.49966893,0.5384895,0.55419403,0.5397158,0.50464857,0.46632084,0.43801942,0.424608,0.4278965,0.4491681,0.48436078,0.51835656,0.5308817,0.5110311,0.46760035,0.42093885,0.3885852,0.37465635,0.3762009,0.3889087,0.40956482,0.43133494,0.44478545,0.44436738,0.4325842,0.41831097,0.40903628,0.4076966,0.4123182,0.41944575,0.42550108,0.42862582,0.42850772,0.4268233,0.42509285,0.42408612,0.42269406,0.42205808,0.42738998,0.44818643,0.48676082,0.5323158,0.5616803,0.5586812,0.52474934,0.47890833,0.44043624,0.41884175,0.41254926,0.415746,0.42248785,0.42815578,0.43018112,0.42902628,0.42708573,0.42667305,0.42769396,0.42994216,0.43416175,0.44364926,0.45790944,0.47217718,0.4770981,0.469499,0.45299217,0.43696666,0.4262011,0.42025352,0.41538298,0.4104574,0.4073578,0.40874496,0.4150144,0.4233637,0.4294728,0.42971587,0.42257407,0.41015914,0.39960384,0.4035569,0.4314052,0.47935423,0.52506113,0.5430179,0.52242815,0.4767233,0.42937148,0.39811197,0.38800368,0.40001047,0.43362895,0.48335662,0.53021455,0.5518673,0.5364722,0.49561656,0.45207837,0.42568877,0.42079982,0.43232235,0.45066348,0.46664712,0.47158995,0.461655,0.4410156,0.41947007,0.40531573,0.3999398,0.39984846,0.40145266,0.40354693,0.4061552,0.40800366,0.4073492,0.40319738,0.39775702,0.39464924,0.39804813,0.41107175,0.43709436,0.47665468,0.52352834,0.5621361,0.5762842,0.5604813,0.5259498,0.49130273,0.47031322,0.46505687,0.47005498,0.47876763,0.48721448,0.4943317,0.49985346,0.50358415,0.50428206,0.50128704,0.4950422,0.48818803,0.48421094,0.48614702,0.49318513,0.5003821,0.5004135,0.49043778,0.4737852,0.45841837,0.4497712,0.44892704,0.45306274,0.4587779,0.46355942,0.46634433,0.46789062,0.46918616,0.47073266,0.47124055,0.46956742,0.46719232,0.4700482,0.48691025,0.5200184,0.55989677,0.5857025,0.58268493,0.55197114,0.5116867,0.4796569,0.46454453,0.4651816,0.48029938,0.50774616,0.54031414,0.56188786,0.55900764,0.53205,0.4970684,0.4723755,0.46587813,0.47456753,0.49167708,0.51206774,0.5304037,0.5396218,0.53453165,0.5162955,0.49301878,0.47323203,0.46096936,0.45402196,0.44855487,0.4424125,0.43733835,0.4361354,0.44019076,0.44781068,0.45600268,0.46265283,0.46815297,0.47586536,0.49144492,0.517678,0.54895645,0.56993955,0.5666818,0.5385911,0.5008835,0.4722683,0.46109924,0.4631485,0.46857762,0.47117695,0.4693108,0.4644153,0.4576553,0.4504325,0.4439008,0.43924534,0.43715993,0.43911907,0.4476112,0.46414256,0.48535204,0.50293994,0.5086352,0.5014968,0.48806885,0.47747934,0.47365215,0.47509363,0.4768823,0.475997,0.47169268,0.46624884,0.46219644,0.46148923,0.46366552,0.46695098,0.46976307,0.47376737,0.48440823,0.5076692,0.5419418,0.57378465,0.5838979,0.56245446,0.5186613,0.47415805,0.4472332,0.44337925,0.45935705,0.49072456,0.53080374,0.5672867,0.5828843,0.5691974,0.53387594,0.497444,0.47668776,0.47537807,0.4863095,0.5006841,0.5124888,0.51810855,0.5144555,0.5024268,0.48662505,0.47392845,0.46654546,0.4620364,0.45550242,0.44523308,0.43320632,0.42310736,0.41710702,0.41512024,0.4163781,0.42001736,0.42551067,0.43253455,0.4436246,0.46398667,0.49572667,0.53087276,0.5519869,0.5461478,0.5162862,0.4801506,0.45526925,0.4488738,0.4592538,0.4837018,0.51823074,0.5538422,0.5743337,0.5684013,0.53781515,0.49946424,0.47113386,0.46250895,0.4723705,0.4958984,0.5267319,0.55616766,0.5717465,0.5647204,0.5372088,0.5033709,0.47886857,0.4722773,0.4828016,0.5064004,0.53667384,0.564091,0.5741575,0.55777913,0.5184105,0.47444522,0.44442043,0.43796453,0.45187345,0.48024487,0.5159007,0.5507087,0.5706508,0.56513745,0.5344828,0.49471807,0.46513328,0.45737043,0.46987656,0.49568477,0.52701956,0.5570404,0.5754875,0.57443094,0.55309945,0.52363485,0.50058216,0.49346125,0.50088054,0.5186187,0.5425944,0.5685194,0.5865793,0.5855644,0.56140107,0.52384174,0.4895012,0.47158918,0.4724126,0.48827553,0.5138225,0.54338974,0.56632423,0.5697382,0.5465687,0.50457424,0.46134305,0.43348193,0.42655754,0.4385707,0.46532324,0.50128144,0.5351389,0.5511877,0.54041094,0.50716645,0.46353742,0.41682124,0.367734,0.31916735,0.28175998,0.26706043,0.27743697,0.30421224,0.33489826,0.36034414,0.37715685,0.38686028,0.39363182,0.4016578,0.41182983,0.42110667,0.42419636,0.41719005,0.39917436,0.3725263,0.34161365,0.31191042,0.2882094,0.27245077,0.26292545,0.25581455,0.24862635,0.24131073,0.23493709,0.22941129,0.22300051,0.2141521,0.20280667,0.19095147,0.18076932,0.17317033,0.16689135,0.16026697,0.15288317,0.14618723,0.14102644,0.13632025,0.12867624,0.11562302,0.097069114,0.0765421,0.058440533,0.046061303,0.039450403,0.036498826,0.03459609,0.033200037,0.035557713,0.04952678,0.08397613,0.14184181,0.21303932,0.2770418,0.31359127,0.31561506,0.29127002,0.2564151,0.22376822,0.19850288,0.18001878,0.1659623,0.15455134,0.14476317,0.13569854,0.12598175,0.11432827,0.101317786,0.0912641,0.09155301,0.10892447,0.14454377,0.19230276,0.24106866,0.280476,0.30511078,0.31609654,0.31836691,0.31729165,0.31609595,0.31545964,0.3139098,0.30791137,0.29276383,0.26630044,0.23344336,0.20718187,0.2007557,0.21840341,0.25220037,0.29009256,0.32442167,0.35317373,0.3743421,0.3828913,0.37463105,0.3517398,0.32285345,0.2973524,0.27959096,0.26852188,0.26193383,0.25946495,0.26177487,0.26571497,0.2634388,0.24545872,0.20831634,0.15796444,0.10837647,0.074696265,0.067319036,0.088359036,0.13147868,0.1842158,0.2325496,0.26680622,0.2845206,0.28932965,0.2860832,0.27771077,0.2644073,0.24592929,0.22323072,0.19938643,0.17870085,0.16552818,0.1631066,0.17208411,0.19089635,0.21665019,0.24784593,0.282655,0.3165302,0.3404058,0.34609088,0.3321499,0.30523548,0.27410382,0.24351303,0.21399389,0.18627359,0.16508634,0.15699469,0.16527681,0.18596305,0.21012323,0.22928374,0.239899,0.24318202,0.24239452,0.24075353,0.24071725,0.24381362,0.2498823,0.2571219,0.2632592,0.26730087,0.270192,0.27387834,0.27965045,0.2863753,0.2897013,0.2823809,0.25807676,0.21631597,0.16682844,0.12667586,0.1130233,0.13395165,0.185515,0.25416136,0.32348302,0.37977985,0.41553685,0.42988515,0.42774,0.41696584,0.40514147,0.39623103,0.3903747,0.38552997,0.38027287,0.3744419,0.36845383,0.3623277,0.35556507,0.34820163,0.34088504,0.33508837,0.33156314,0.33034775,0.33024278,0.33031526,0.3299372,0.32950008,0.3295424,0.3310634,0.33480835,0.34132314,0.34996656,0.35916182,0.36666036,0.37090042,0.3715497,0.36965868,0.36641344,0.36153927,0.3520137,0.33383322,0.30687788,0.28001875,0.2681899,0.2819629,0.3158761,0.35076964,0.3663269,0.3555992,0.3254958,0.28885078,0.254826,0.22685742,0.20474952,0.18728368,0.1731445,0.16121738,0.15131657,0.14449528,0.14221503,0.14533854,0.15692408,0.18546855,0.24502026,0.33977243,0.45250726,0.54419345,0.5837825,0.5690795,0.52854735,0.4931861,0.4773179,0.47751284,0.48516914,0.49466905,0.5027279,0.5072054,0.50787884,0.50718886,0.50914454,0.5151754,0.5242877,0.5334978,0.54168576,0.5467331,0.5452497,0.53215295,0.5080999,0.48039365,0.45950806,0.45043084,0.45116436,0.4572443,0.4659878,0.477338,0.48986807,0.5014412,0.5100977,0.51714563,0.5242614,0.530807,0.53445643,0.5360173,0.5429611,0.56109333,0.58499044,0.5948655,0.57307696,0.52033615,0.45882592,0.41397437,0.39812756,0.40826884,0.4384748,0.48348475,0.5337892,0.568178,0.5671007,0.52860194,0.47518054,0.4344757,0.42081097,0.43020526,0.45170784,0.47603282,0.49393275,0.4964114,0.4782944,0.4470044,0.4166797,0.3995073,0.39567843,0.39856645,0.40131256,0.4023323,0.40285286,0.40395495,0.40519986,0.40549317,0.40429577,0.40195933,0.39999604,0.40249217,0.41718364,0.4511695,0.5004056,0.5427446,0.5493317,0.50805277,0.43866372,0.37787986,0.3521589,0.36025676,0.38312745,0.40109205,0.40573165,0.3982184,0.38500157,0.37288034,0.3667921,0.36787355,0.37425485,0.38402745,0.39767614,0.41878772,0.44696915,0.47620487,0.4941269,0.4954319,0.48359743,0.4707794,0.46395478,0.4627845,0.46109477,0.45490527,0.44494522,0.4345145,0.4267652,0.4217995,0.41838142,0.4140497,0.4079289,0.40208146,0.40447536,0.42716232,0.4739611,0.5302668,0.5634597,0.54974794,0.4932007,0.4263145,0.38114664,0.37122476,0.39219582,0.43791473,0.50088686,0.5642121,0.5977494,0.5792307,0.51379585,0.43431735,0.3753629,0.35153294,0.3571278,0.38056767,0.41259292,0.444321,0.46395335,0.46436,0.4486129,0.42946422,0.417725,0.41566095,0.41823426,0.41958705,0.41811714,0.41545105,0.4145073,0.41630706,0.4199684,0.42304316,0.42314494,0.42054412,0.42074156,0.43498564,0.4711217,0.52304524,0.56636757,0.57573885,0.54446024,0.49238804,0.44746134,0.42595974,0.42478368,0.43210247,0.43793046,0.43864712,0.4346707,0.42832807,0.4226257,0.42072228,0.4247228,0.43466786,0.44895077,0.46564496,0.48290062,0.49628624,0.49903178,0.48562285,0.45911917,0.43013835,0.410643,0.4051471,0.41023317,0.4187088,0.4253806,0.42906097,0.43138167,0.4337463,0.4355234,0.43486223,0.43123698,0.42644775,0.42504147,0.43320525,0.45710155,0.49467656,0.5314204,0.54480046,0.52331334,0.4770211,0.43119994,0.4056715,0.40563726,0.42727757,0.4671888,0.517986,0.5610942,0.57062966,0.5345537,0.4681389,0.4049228,0.3716817,0.3733283,0.398555,0.43333802,0.46572635,0.48550162,0.48374164,0.4621166,0.4318986,0.40954503,0.40231565,0.4074045,0.41497573,0.4184213,0.41672826,0.4140352,0.41420755,0.41853237,0.4248946,0.4310101,0.43508795,0.43876395,0.44664478,0.46815398,0.50629896,0.55123895,0.57717085,0.5651181,0.5178335,0.46212637,0.42426646,0.41341248,0.42070165,0.43374786,0.44564307,0.45430973,0.4574758,0.4529284,0.44120452,0.42798558,0.41978526,0.42131436,0.43310627,0.4546846,0.4818696,0.5074373,0.5204372,0.51581216,0.49715507,0.47645152,0.4634391,0.46097386,0.4647342,0.4693246,0.47208318,0.4739083,0.4766595,0.48050046,0.48351026,0.48335293,0.47946313,0.47388896,0.47239634,0.48346874,0.5121464,0.55124825,0.5797394,0.5775073,0.542449,0.49458846,0.45840213,0.44599319,0.45444778,0.47797844,0.51322144,0.5536043,0.5822944,0.5807406,0.5449247,0.49275252,0.45018888,0.4325347,0.43714073,0.45343885,0.47333667,0.4923805,0.5051265,0.5042648,0.48814666,0.46281263,0.4398646,0.42601326,0.4220575,0.4241728,0.43001363,0.43905878,0.45103154,0.46421254,0.47528818,0.48107257,0.47983208,0.47185954,0.46256423,0.4620444,0.48310375,0.52698106,0.57705814,0.6033959,0.5875611,0.537219,0.4798657,0.43913436,0.42051598,0.41700864,0.42101708,0.42983028,0.44111085,0.4511379,0.4561236,0.45646128,0.45505536,0.45536372,0.45840704,0.4648604,0.47533956,0.48849297,0.49863005,0.4972899,0.4818214,0.458051,0.43729326,0.426286,0.4252398,0.43040434,0.43884233,0.44868216,0.45789146,0.4646937,0.46854928,0.4710331,0.47412464,0.47802922,0.482053,0.4869105,0.49898577,0.521725,0.5495629,0.563056,0.54761344,0.50524896,0.45728433,0.4244069,0.41527557,0.42719257,0.45744848,0.50269675,0.552026,0.58218074,0.5742107,0.5291664,0.4729178,0.43359903,0.42404854,0.4371743,0.46139264,0.4879296,0.51060843,0.52113384,0.51477087,0.49635324,0.4780136,0.4688643,0.46738222,0.46597254,0.4581375,0.44413877,0.42811748,0.41505647,0.4072398,0.40396336,0.40268597,0.40115216,0.40010592,0.40445969,0.42346397,0.46344098,0.5180002,0.5615683,0.5647122,0.5166534,0.43984807,0.37069798,0.33383408,0.32719257,0.3362141,0.34908795,0.36334822,0.37922168,0.3957069,0.41069052,0.4234414,0.4342464,0.4429734,0.44947243,0.45518902,0.46402177,0.47692743,0.48908588,0.4902461,0.47570828,0.44975808,0.4243908,0.4078767,0.401808,0.4021782,0.4060953,0.41292772,0.42312407,0.43453166,0.4429675,0.4438871,0.4361833,0.42224315,0.4095957,0.4092096,0.43331668,0.4818305,0.5362204,0.56327516,0.54291904,0.4834164,0.41704962,0.3716487,0.35681188,0.36886021,0.4053949,0.46171674,0.5210981,0.55330503,0.53796405,0.48241556,0.41829047,0.37483728,0.36077133,0.36854872,0.38946614,0.4190817,0.451617,0.47483602,0.4787061,0.46304107,0.43975446,0.4209644,0.41182068,0.40930519,0.409426,0.41116998,0.4163822,0.42615414,0.4391117,0.45160773,0.4604827,0.46433422,0.4661248,0.47220352,0.49227038,0.529241,0.57409906,0.60324997,0.59823924,0.5601129,0.5140403,0.4869182,0.48833266,0.50572574,0.51962835,0.51926565,0.50658053,0.49030295,0.4771557,0.46974024,0.4674212,0.46913585,0.47389984,0.48157695,0.49357665,0.5099027,0.52636796,0.5338845,0.5265761,0.50748473,0.4876596,0.476445,0.47520122,0.47804812,0.47855803,0.4737998,0.46569654,0.4578229,0.45361295,0.45393077,0.4576781,0.46171486,0.46325216,0.46338412,0.47033617,0.49401847,0.5341099,0.571847,0.58190167,0.55375475,0.50364107,0.45976147,0.44039702,0.44535133,0.4672592,0.50157547,0.5428563,0.57581174,0.57992154,0.5463789,0.49034366,0.4398572,0.4162254,0.4205654,0.44223216,0.46936485,0.49444303,0.51067907,0.5119445,0.498024,0.4761976,0.45713437,0.44558063,0.43954512,0.43338883,0.42598018,0.41977397,0.41998872,0.42665076,0.43719617,0.4460535,0.4518554,0.45473793,0.45883346,0.46972623,0.49565053,0.5366151,0.5779933,0.59078187,0.55394024,0.4710593,0.37118444,0.28628513,0.23244345,0.2065859,0.19642307,0.19009073,0.17948292,0.16110277,0.13727778,0.1154547,0.1055697,0.11344596,0.14028671,0.18291242,0.2403543,0.30788538,0.37474665,0.4194105,0.42630085,0.3952016,0.345963,0.30060607,0.27197656,0.2589852,0.2552612,0.25464812,0.2539204,0.25160912,0.2479046,0.24393038,0.24100198,0.23922046,0.24005301,0.24980707,0.2820852,0.34592453,0.4320526,0.5061045,0.5309693,0.49285296,0.41341355,0.32954466,0.27048835,0.24868615,0.26902464,0.32979137,0.4160092,0.49233174,0.52178764,0.48877808,0.4127836,0.32927513,0.26787224,0.23971282,0.24609761,0.28296626,0.33929333,0.39240757,0.41761065,0.40386215,0.3615353,0.3129498,0.27632818,0.2579327,0.2547444,0.2615024,0.2736994,0.28790376,0.3004425,0.3087605,0.3121716,0.31286702,0.31370524,0.31642988,0.32003322,0.321671,0.3184111,0.30913225,0.29526588,0.27999488,0.2665474,0.25656956,0.2495384,0.24367118,0.23725154,0.22992687,0.2224899,0.2161948,0.21161026,0.2086698,0.20722663,0.20760779,0.21020545,0.21451181,0.2189424,0.22156425,0.22139831,0.21891813,0.21555626,0.21247248,0.20981409,0.2072475,0.20512281,0.20431465,0.20504792,0.205947,0.20592098,0.20527852,0.20570727,0.20756434,0.20983559,0.21123451,0.21157362,0.21102221,0.20924479,0.20631458,0.20326757,0.20149577,0.20089144,0.20003511,0.19779108,0.19433582,0.19049029,0.18653965,0.18240146,0.17813592,0.17431752,0.17169066,0.17101155,0.17300214,0.17799465,0.1854247,0.19301748,0.197217,0.19525604,0.18800181,0.18007027,0.17625284,0.17717017,0.17939948,0.17894958,0.1751886,0.1702463,0.16669796,0.16526371,0.16521262,0.16581993,0.16672045,0.16725874,0.16572483,0.16070229,0.15255441,0.14331786,0.13447823,0.12562376,0.116106115,0.1084404,0.108642615,0.12126976,0.14296708,0.1618225,0.16491802,0.14814295,0.11980259,0.09599634,0.09048868,0.10718745,0.13782115,0.16828974,0.18726645,0.19241858,0.1892225,0.18487221,0.18315613,0.1828324,0.18104576,0.17655478,0.17108704,0.1669954,0.16446759,0.16160464,0.15593219,0.14708786,0.13615166,0.12591514,0.11949939,0.12013898,0.12890214,0.14322866,0.15861094,0.17124532,0.18147223,0.1908092,0.20024402,0.20819621,0.21389043,0.21828343,0.2227452,0.22629671,0.22578551,0.21882755,0.20663764,0.192814,0.1817534,0.1747663,0.17070591,0.16590762,0.15844665,0.14901039,0.14074825,0.13571481,0.13337255,0.13134658,0.1279237,0.12308759,0.11816141,0.11401919,0.11064798,0.10683445,0.10188434,0.09582553,0.089930795,0.08480361,0.08024325,0.0749637,0.068607174,0.061860103,0.056450877,0.053246666,0.05215615,0.052014444,0.051993933,0.051343042,0.04964425,0.046150055,0.040670693,0.03366388,0.026452178,0.020228377,0.015610308,0.012432742,0.010223322,0.008584117,0.0074359137,0.006925217]