[0.005639948,0.0063518477,0.007820211,0.0095544,0.011277202,0.01307492,0.015389293,0.019003617,0.025164953,0.035112366,0.049462315,0.06736779,0.086943515,0.106048316,0.123404026,0.13818015,0.14909206,0.15375458,0.15048997,0.14051352,0.12894873,0.12182614,0.12288356,0.13131844,0.14363088,0.15565258,0.16492313,0.17078574,0.17424472,0.17652142,0.17809927,0.17810649,0.17535655,0.16965176,0.16245241,0.15557063,0.14987,0.14481337,0.13996387,0.13571726,0.13335228,0.13379239,0.13717288,0.14260046,0.1483887,0.15235652,0.15276259,0.14939375,0.14400612,0.13926627,0.137177,0.13798769,0.14097589,0.1455406,0.15173028,0.15890634,0.16479535,0.16654259,0.163405,0.15849896,0.1566322,0.16113411,0.17132086,0.18388034,0.19448335,0.19994467,0.1988027,0.1921792,0.18323044,0.17571348,0.17198326,0.17209648,0.1745345,0.17750491,0.1797684,0.18054764,0.17938928,0.17646778,0.17278051,0.16962378,0.16739373,0.16538657,0.16257565,0.15885915,0.15499538,0.15200657,0.15049092,0.15075345,0.15272216,0.15591402,0.15897226,0.16003692,0.15736604,0.15067673,0.14137961,0.13178875,0.123531036,0.116972096,0.11203492,0.10899243,0.10849563,0.110365756,0.11333715,0.11570994,0.11696292,0.118419655,0.12229445,0.13004053,0.14099999,0.15310563,0.16425389,0.17366727,0.18138935,0.18706168,0.18910098,0.18592961,0.17772269,0.16729434,0.15841739,0.15386218,0.15420264,0.15853173,0.165392,0.17333792,0.18112956,0.1877666,0.19273078,0.19584423,0.197066,0.19614889,0.19277126,0.18710227,0.18018465,0.17363326,0.16877301,0.16622259,0.1660742,0.16822565,0.17229384,0.17731284,0.1814193,0.18220846,0.17759019,0.16739635,0.15382701,0.14061075,0.13085696,0.1257638,0.12457927,0.1254754,0.126625,0.12688142,0.12613668,0.12508045,0.12497649,0.12760943,0.13448964,0.1458266,0.15923405,0.17161733,0.18097655,0.18824057,0.1946863,0.20035608,0.20349653,0.20311302,0.2001646,0.19656634,0.19347882,0.19057685,0.1874875,0.18440574,0.1818419,0.17938119,0.17578717,0.17045425,0.16455851,0.16049682,0.1597547,0.16175498,0.1644925,0.16612633,0.16586228,0.16394122,0.16151652,0.1602317,0.16149108,0.16526367,0.17009121,0.17366259,0.17451067,0.17231739,0.16833247,0.16398187,0.16059323,0.1581431,0.15629251,0.15449576,0.1535983,0.1546401,0.15837757,0.16333097,0.16691183,0.16627948,0.16081333,0.15194206,0.14327066,0.13849592,0.14077525,0.15090202,0.16729917,0.18638544,0.20424765,0.21839768,0.2270097,0.22895144,0.22251253,0.20857437,0.19090986,0.17691238,0.17309017,0.18229437,0.20164114,0.224523,0.24413641,0.2563826,0.26095906,0.25888655,0.25092986,0.23657697,0.2170558,0.19633497,0.18087696,0.1749869,0.1783344,0.1859088,0.19272698,0.19712119,0.20134033,0.20714778,0.21317376,0.21461158,0.20889308,0.19832696,0.19051643,0.19194889,0.20445849,0.22385709,0.24380417,0.25903973,0.2671323,0.2682483,0.2633194,0.2529355,0.23722106,0.21848471,0.20268561,0.19759639,0.2071355,0.22769983,0.2500175,0.26566252,0.27212492,0.27218613,0.26938784,0.2639625,0.25422704,0.24018681,0.22633517,0.21897326,0.22186811,0.23335175,0.2477297,0.25918177,0.26482558,0.2655199,0.26321,0.2585,0.24973781,0.23607744,0.21977091,0.2063797,0.20067191,0.2037956,0.21262304,0.22341795,0.2340389,0.24425097,0.25239906,0.2546881,0.2466489,0.22793436,0.20329376,0.18114923,0.1682743,0.1673175,0.17586781,0.18878496,0.20042755,0.2070932,0.20873468,0.20833027,0.20967448,0.21369146,0.21877293,0.22263294,0.22606044,0.23142456,0.24058084,0.2517932,0.2622415,0.27005887,0.2760134,0.27998677,0.2797778,0.27150175,0.25527602,0.23634201,0.22373341,0.22321986,0.23488943,0.25275075,0.26958326,0.27987075,0.2823486,0.2786673,0.2712961,0.26135612,0.2491134,0.23606996,0.2253818,0.22030002,0.2212482,0.22627427,0.23289691,0.24038202,0.24865751,0.2564273,0.2600639,0.25530407,0.24008311,0.21692647,0.19254832,0.17529051,0.17071591,0.17944694,0.19653513,0.21469839,0.22708543,0.23112099,0.22815527,0.22210328,0.21528535,0.20841028,0.20179385,0.19877551,0.20393641,0.21999615,0.24345051,0.26665932,0.281715,0.28590932,0.28079733,0.26987958,0.25456977,0.23572047,0.2154321,0.19868034,0.1903299,0.19163884,0.19945176,0.20798849,0.21289925,0.21220416,0.20789094,0.20321321,0.20145951,0.2017213,0.20075947,0.19482984,0.18476172,0.1742229,0.16774027,0.16592675,0.16709365,0.16874944,0.17159744,0.17657693,0.18315345,0.1860018,0.18064474,0.16641034,0.14983205,0.13838772,0.13728671,0.14529797,0.1581173,0.16966867,0.17653902,0.17873381,0.18045269,0.18669444,0.1994472,0.21657759,0.23354642,0.24853711,0.26218006,0.27608064,0.28740084,0.29139474,0.2849739,0.2724289,0.26168248,0.2595773,0.2665335,0.2789785,0.29115954,0.29864582,0.2984242,0.2914587,0.28097203,0.27094564,0.2618712,0.2521843,0.24031991,0.22818655,0.21942385,0.21657588,0.21898878,0.22438417,0.23126961,0.23904002,0.24648102,0.25143158,0.25253022,0.25053546,0.24675669,0.24126822,0.23253506,0.21996559,0.20455553,0.1893331,0.17720489,0.17102945,0.17092745,0.1746099,0.17761081,0.17799003,0.17710753,0.17875981,0.18602449,0.20077546,0.22286403,0.24750936,0.26604667,0.27105138,0.2633001,0.24949826,0.2356288,0.2235805,0.21562083,0.21679242,0.23058105,0.25186926,0.2690123,0.27121934,0.25810346,0.23840868,0.22495502,0.22440201,0.23506713,0.24830501,0.25500706,0.2496913,0.23348035,0.2144499,0.20217173,0.20044124,0.20371646,0.20484366,0.20310275,0.20411754,0.21125586,0.22100319,0.2275129,0.22859436,0.22576205,0.22054385,0.21260504,0.20259719,0.19192791,0.18288217,0.1760029,0.17231365,0.1716916,0.17302652,0.17301613,0.17006584,0.16653107,0.16786556,0.17814875,0.19678926,0.21989517,0.24285722,0.26256093,0.2770536,0.28496775,0.28514174,0.27702823,0.2632484,0.25083438,0.24926698,0.26324186,0.28860667,0.3147394,0.33275917,0.34006146,0.33901298,0.33216903,0.319435,0.29872522,0.2686239,0.23221725,0.19799949,0.17764132,0.17747831,0.19334553,0.21024932,0.21463887,0.20345259,0.18725859,0.17874612,0.18334357,0.19630583,0.20946221,0.21758632,0.21901692,0.21382959,0.20215988,0.18662475,0.17264073,0.16634579,0.16944265,0.17831004,0.18705821,0.1924905,0.19405365,0.19224714,0.18823451,0.18679851,0.19502288,0.21587057,0.24190776,0.25944355,0.25989836,0.24806124,0.23756985,0.2390884,0.25293228,0.27095821,0.28496662,0.29093078,0.28964305,0.28286242,0.2725551,0.26056495,0.24924456,0.23999763,0.23220049,0.22410075,0.21466441,0.20490564,0.19658875,0.19124432,0.18907136,0.18961178,0.19136305,0.19282277,0.1925921,0.19061963,0.18735422,0.18358845,0.17949276,0.17505933,0.17008466,0.16460675,0.15890689,0.15389656,0.1512559,0.15315343,0.16051967,0.17143704,0.18169469,0.18799955,0.19037922,0.19056799,0.1887641,0.18390353,0.17739575,0.175655,0.18504934,0.2061819,0.23129408,0.25159845,0.26277423,0.2671757,0.26797262,0.26631832,0.26115897,0.25317642,0.24561733,0.24330013,0.24860664,0.259681,0.2698891,0.27273032,0.26581964,0.25338075,0.24162078,0.2339561,0.2289269,0.22333156,0.21691753,0.212525,0.21404366,0.22096032,0.22959948,0.2352907,0.23851039,0.24251133,0.25028262,0.25916758,0.26435146,0.26247177,0.2552275,0.24633811,0.23851895,0.23191416,0.22523893,0.21775933,0.21004258,0.20392726,0.20057553,0.19873613,0.19571133,0.19038655,0.18570174,0.18592186,0.19349535,0.20693159,0.2231183,0.23766422,0.24676307,0.24786335,0.24224703,0.23325284,0.2246776,0.2199182,0.2232496,0.2381026,0.26305392,0.2899572,0.3076426,0.30804527,0.29154024,0.26667997,0.24619086,0.23847316,0.24349648,0.2533141,0.25865033,0.25409552,0.2412685,0.22764277,0.22132201,0.22426087,0.23016472,0.23096035,0.22493108,0.21784437,0.21592607,0.2197538,0.22572257,0.23097189,0.23577695,0.24056606,0.24358048,0.241421,0.23260944,0.21995807,0.20916742,0.20469283,0.20581399,0.20776667,0.20639573,0.20258291,0.20129007,0.20673269,0.2182106,0.23099232,0.24073924,0.2475013,0.25454718,0.26488137,0.27727816,0.28732482,0.2896247,0.28298822,0.2713852,0.26307687,0.2634418,0.27179563,0.28179228,0.28830287,0.29058686,0.2912439,0.29189682,0.29075608,0.2836441,0.2667521,0.24088381,0.21297951,0.1939994,0.19075744,0.200568,0.21184307,0.21487744,0.20925963,0.20400245,0.20737416,0.22014578,0.23634414,0.25009492,0.25972208,0.26638153,0.27082047,0.27260336,0.27154088,0.2688858,0.2658579,0.2617615,0.25399464,0.24012421,0.22065747,0.19872464,0.1794381,0.16793358,0.16939579,0.18611689,0.2148767,0.24499325,0.26438043,0.2667801,0.25635523,0.24176012,0.22959627,0.22140348,0.21763134,0.21994257,0.22976442,0.24465275,0.2585884,0.26553282,0.2638491,0.25604773,0.24633737,0.23733586,0.22969264,0.22259156,0.21490799,0.20622884,0.1979428,0.19311617,0.1945675,0.20295244,0.21555036,0.22822005,0.23663597,0.23922753,0.23644526,0.23091693,0.22482754,0.21971099,0.21567468,0.21194744,0.20721899,0.20080362,0.19399406,0.18959683,0.190269,0.19619311,0.20524853,0.21365882,0.21770556,0.21494748,0.20644885,0.19742258,0.19498302,0.20259787,0.21620136,0.22544412,0.22129126,0.20227651,0.17540653,0.14981578,0.13103256,0.11918968,0.11217126,0.10912945,0.11137601,0.12033725,0.13494861,0.15130629,0.16515787,0.17418349,0.1787134,0.18009228,0.17978388,0.17882627,0.17811544,0.17822331,0.17946148,0.18188572,0.18555838,0.19067158,0.19783211,0.20748,0.21874873,0.2287425,0.23342188,0.23043166,0.22031589,0.20660733,0.1930931,0.1832316,0.17856766,0.17934072,0.18319374,0.18698327,0.18747264,0.18345793,0.1748925,0.163045,0.14983733,0.13906562,0.13513188,0.14145927,0.15647458,0.1744015,0.18845075,0.1968482,0.20257203,0.20828958,0.21171422,0.2081008,0.19795941,0.18924583,0.19119209,0.20516455,0.22285111,0.23307069,0.22994934,0.2172517,0.20448269,0.20100085,0.20835312,0.22139607,0.23123233,0.23367281,0.22948962,0.22472669,0.22397415,0.22865634,0.23431541,0.2350883,0.22708839,0.21210702,0.19547622,0.18208297,0.17320804,0.16735972,0.1634201,0.16148347,0.16087145,0.15820448,0.14977439,0.13553223,0.12056035,0.11123415,0.11081899,0.11743781,0.12605391,0.13138728,0.13089539,0.12595887,0.12150061,0.122882925,0.13285215,0.14945059,0.16747218,0.18148185,0.18845044,0.18848692,0.18327306,0.17541414,0.16766012,0.16285951,0.16237342,0.16469802,0.16605955,0.16239458,0.15239091,0.13743502,0.12079985,0.105152436,0.092140414,0.08208451,0.07489053,0.07101383,0.0727455,0.084058665,0.1063987,0.13430986,0.15563153,0.16111517,0.15323968,0.14554985,0.1505468,0.16946268,0.19332014,0.2122794,0.22251995,0.22505186,0.22065844,0.20797385,0.18571514,0.15635753,0.12650578,0.10404581,0.09391392,0.09511614,0.10145981,0.10568425,0.105433576,0.10570506,0.11409685,0.13342442,0.1573664,0.17727022,0.18862647,0.19513011,0.20123096,0.20906234,0.21658616,0.22258703,0.22688228,0.2302476,0.2326686,0.23350756,0.23193556,0.22761948,0.22116111,0.21440612,0.20940317,0.20743571,0.20778154,0.2080955,0.20570828,0.19902992,0.18952121,0.18101527,0.17873305,0.18442984,0.1952854,0.20436676,0.20636947,0.19994916,0.18812062,0.17462373,0.16244964,0.15290798,0.14638682,0.14208208,0.13848221,0.13406883,0.12863497,0.12314767,0.11908016,0.11709694,0.11804689,0.12297842,0.133195,0.15008606,0.17909801,0.23298334,0.32319593,0.44226435,0.5530208,0.60963136,0.5904999,0.51598126,0.42577386,0.35012695,0.29804707,0.27130798,0.27437317,0.3133049,0.38699922,0.48203945,0.5709881,0.62054443,0.60940033,0.5472188,0.46906063,0.41182825,0.38866863,0.39042237,0.40209237,0.41928843,0.45048916,0.50191396,0.56566334,0.6127642,0.6165566,0.5705816,0.49827412,0.4292747,0.38270983,0.36176273,0.36514226,0.39129257,0.43872693,0.50214046,0.57106024,0.6238969,0.6361,0.59514016,0.5184346,0.44221672,0.39797983,0.39131126,0.40766987,0.42934486,0.45144185,0.48114657,0.5248478,0.57212734,0.597212,0.57819,0.5169224,0.4350954,0.3559455,0.29260087,0.25464052,0.25240585,0.29256168,0.369498,0.46630654,0.5576709,0.6139118,0.6123345,0.55451435,0.4727609,0.4087541,0.38587508,0.39621937,0.41824892,0.43609974,0.4536755,0.48255047,0.5284686,0.5743536,0.59310204,0.56685144,0.50691587,0.44110346,0.39349285,0.36940202,0.3630574,0.36883518,0.3889582,0.42992654,0.49262634,0.5600655,0.5996208,0.5843174,0.5189103,0.44018808,0.3898454,0.3840113,0.40882754,0.43958068,0.4626174,0.48419464,0.51787657,0.5667169,0.6096491,0.61717016,0.5733345,0.4898102,0.39195183,0.30335653,0.24135393,0.21947296,0.24518538,0.31377813,0.40945458,0.5096421,0.58587295,0.61187774,0.5772629,0.5036867,0.43104926,0.39301538,0.39322987,0.4144362,0.43658867,0.4554371,0.4804153,0.52098626,0.57008284,0.60237455,0.59409624,0.5438651,0.4757438,0.41738495,0.38223264,0.3672105,0.36630163,0.37861815,0.41042805,0.46519053,0.5342408,0.5890153,0.5982367,0.55053705,0.4717413,0.40379265,0.37681082,0.3881965,0.4169596,0.44318867,0.46649086,0.4982845,0.54671437,0.5973647,0.6215379,0.5971348,0.53001094,0.4441941,0.3639041,0.30244184,0.27069435,0.2788534,0.33039442,0.4150401,0.5121393,0.59590006,0.63925296,0.6252604,0.5614764,0.48171178,0.42384562,0.40469667,0.41465673,0.43423486,0.4524093,0.47416297,0.50936264,0.55852205,0.6004288,0.60771644,0.5672591,0.4955039,0.4213775,0.36644456,0.33513117,0.32242763,0.31885603,0.31066784,0.2839942,0.23620999,0.1822948,0.14630449,0.14469047,0.17811726,0.23509991,0.3017998,0.36569402,0.4173626,0.45167837,0.47312143,0.49639216,0.5350142,0.58554417,0.6213611,0.614292,0.55954665,0.4816378,0.4098457,0.35608873,0.31760705,0.29417947,0.29760793,0.34095004,0.4242836,0.52476954,0.60141295,0.6163115,0.56033343,0.4641725,0.37422597,0.32106176,0.3021277,0.29960212,0.30302957,0.32283,0.37623438,0.46645465,0.56463075,0.6247204,0.61320823,0.538596,0.44042993,0.3607156,0.31701645,0.30610457,0.3187325,0.35157928,0.40676025,0.48182693,0.5603816,0.6105208,0.60460454,0.5420725,0.45648172,0.39128152,0.3706181,0.387939,0.42164174,0.4559381,0.4930419,0.54242843,0.60450387,0.65548325,0.6644251,0.61503655,0.52471894,0.42474672,0.3409985,0.2816497,0.2503654,0.25241256,0.2941618,0.37383112,0.476396,0.5702036,0.6177464,0.5962057,0.520731,0.43580163,0.38604212,0.38383198,0.41114387,0.44173992,0.4651324,0.49055102,0.5302431,0.58100384,0.6164629,0.6085587,0.55085194,0.46818927,0.39339706,0.34566626,0.32401085,0.3229281,0.34161904,0.38552275,0.45483112,0.53827816,0.60678834,0.629432,0.59120184,0.5126254,0.4326826,0.38513088,0.37406814,0.3847002,0.4006457,0.42249712,0.46137634,0.5234313,0.59136814,0.6310947,0.613815,0.54108256,0.43943337,0.34150553,0.26754144,0.22920556,0.23318897,0.28102282,0.36436546,0.46562234,0.56063575,0.6196806,0.62013346,0.5622371,0.4776363,0.40734378,0.37514314,0.37459984,0.3868705,0.40089777,0.42478916,0.471835,0.5426886,0.6104726,0.63815427,0.6042468,0.5251073,0.43701646,0.37132645,0.33518317,0.32353964,0.3313998,0.36195204,0.41891825,0.49790034,0.5774804,0.6250617,0.61531097,0.55290943,0.47107625,0.40907845,0.38401446,0.38739982,0.40094265,0.41712824,0.44530463,0.49755874,0.56961304,0.63034993,0.6433707,0.59455276,0.5067098,0.41630685,0.3485264,0.30846766,0.2937914,0.29924452,0.3117341,0.3108307,0.28405878,0.240919,0.2072107,0.20462205,0.23645024,0.28968284,0.34833336,0.4013934,0.44360027,0.46873283,0.4677442,0.43269598,0.3663204,0.28719214,0.22207999,0.19197764,0.19903563,0.22898924,0.26133493,0.28336623,0.29447508,0.3011246,0.30616522,0.303336,0.2836447,0.24632464,0.2042495,0.1761442,0.17494673,0.2011128,0.24525134,0.29472595,0.33856967,0.3716558,0.39600965,0.4221473,0.46101937,0.5145666,0.5658448,0.58869183,0.5657509,0.50573653,0.4358892,0.38248935,0.3544495,0.34720364,0.35423014,0.37652168,0.41864595,0.4809402,0.54814506,0.5934456,0.5921778,0.5442118,0.47419655,0.4145495,0.38082585,0.36774805,0.36241713,0.36081743,0.3726492,0.40903735,0.4672512,0.5225139,0.5449405,0.5215656,0.46897137,0.41571867,0.38158837,0.36740103,0.3661751,0.37414154,0.3952687,0.43431732,0.48799762,0.53708106,0.555444,0.5268353,0.46337306,0.396031,0.35488883,0.34782505,0.3648031,0.39097592,0.42019108,0.4559821,0.5018611,0.55187833,0.5873067,0.5901814,0.5561519,0.49768853,0.43188468,0.37128893,0.32579085,0.3061329,0.3214412,0.37022018,0.4388311,0.5047934,0.544347,0.54248196,0.5020725,0.44640097,0.40312386,0.38802388,0.3959708,0.41303954,0.42852768,0.44325742,0.46350822,0.49218306,0.51982635,0.5300411,0.5105808,0.46692416,0.41547868,0.37413195,0.3491795,0.34114683,0.34749028,0.368858,0.40561393,0.4552729,0.50630975,0.5375102,0.5296051,0.48130342,0.41590634,0.36424908,0.3438128,0.34940746,0.36647797,0.38638723,0.4140296,0.4569223,0.51277333,0.5612032,0.5778845,0.55121666,0.49409723,0.43015838,0.37846962,0.34449604,0.3288473,0.3334329,0.36337852,0.4189823,0.49105883,0.5558527,0.5857372,0.5638625,0.5023689,0.4334072,0.3889052,0.37721515,0.38673937,0.40082958,0.41447198,0.4347072,0.46908966,0.51216793,0.5422632,0.53744584,0.49335966,0.42878172,0.36883262,0.32900906,0.3107661,0.311077,0.32884762,0.36619386,0.42226097,0.48781052,0.54074645,0.5573798,0.52766174,0.4683627,0.40921846,0.37398383,0.3647444,0.3710008,0.3823801,0.4002689,0.43327066,0.48580262,0.544309,0.5806163,0.5705257,0.51552665,0.44079754,0.37559727,0.33404592,0.3162979,0.31888366,0.341529,0.3857107,0.44871867,0.51823634,0.57056165,0.5825418,0.54898745,0.49041533,0.4380857,0.41227746,0.41259184,0.42747274,0.4471911,0.47189355,0.5052143,0.5462163,0.5797488,0.5863541,0.5551913,0.49813268,0.4385399,0.39641562,0.37493503,0.36799332,0.37037066,0.38675416,0.42630133,0.4905069,0.5600505,0.5998122,0.58215266,0.5126652,0.42862692,0.3715103,0.35702357,0.37193474,0.39353094,0.41107956,0.43155655,0.46623364,0.51506805,0.55853033,0.57234883,0.54558676,0.49176538,0.4358139,0.3969464,0.37852812,0.37474623,0.38057002,0.39854333,0.43377563,0.48526073,0.53581613,0.5604491,0.54173,0.48822275,0.42577437,0.38006735,0.35754704,0.3506576,0.3499732,0.35644662,0.37843874,0.4207895,0.47266993,0.5094816,0.50940424,0.47231996,0.41985476,0.37742433,0.3560456,0.35170594,0.35675457,0.36912933,0.39225635,0.42783597,0.46948174,0.5000834,0.5023827,0.47127107,0.4219595,0.37748158,0.3543644,0.3532715,0.36671495,0.38792655,0.41676095,0.45575023,0.5029938,0.5456504,0.5656021,0.550672,0.50581026,0.446238,0.38831735,0.34179226,0.31479588,0.31421947,0.34282044,0.3951185,0.45744738,0.5109698,0.5358882,0.52194446,0.47780308,0.42850435,0.3983291,0.39464077,0.40751886,0.42265642,0.43348542,0.44439474,0.46284023,0.489146,0.5100019,0.5083264,0.47754034,0.43045256,0.38671884,0.3588079,0.3457301,0.34343067,0.35210958,0.3772788,0.42128217,0.47752428,0.52675456,0.5464724,0.5238105,0.4696816,0.4107605,0.3727006,0.36192048,0.3687899,0.38073158,0.395287,0.42104748,0.46484575,0.5197714,0.5613975,0.5659606,0.5277341,0.4646727,0.40173772,0.35514882,0.32957116,0.32493177,0.3420463,0.38014433,0.43445525,0.49376953,0.54053646,0.5577298,0.5382214,0.49406257,0.44704938,0.41616976,0.4042616,0.40420926,0.4074484,0.4147663,0.43267694,0.4651353,0.5015822,0.5213956,0.5077988,0.46448317,0.4108236,0.36757588,0.34290013,0.335783,0.34285024,0.36354563,0.39765993,0.44222233,0.48708665,0.5154703,0.5121718,0.47677425,0.42711386,0.38700452,0.36928383,0.3701049,0.37849185,0.38839218,0.40450624,0.43475842,0.4790679,0.5201249,0.5340516,0.50764585,0.4522712,0.39157057,0.34480023,0.3168039,0.30708444,0.3166795,0.34922934,0.40430215,0.47383878,0.53871924,0.57571816,0.5690988,0.526491,0.47305837,0.43520176,0.42151645,0.42537948,0.4365772,0.45198202,0.47647294,0.51377344,0.5583802,0.5907593,0.5906326,0.55203784,0.491268,0.433583,0.39629862,0.38159367,0.3834019,0.39769563,0.42757463,0.4768279,0.53933626,0.5895093,0.5967531,0.54722023,0.4632804,0.38526413,0.34483013,0.34231254,0.35855255,0.3717997,0.37230042,0.3597921,0.33927524,0.31684956,0.29702905,0.2813137,0.26735136,0.25251135,0.23587336,0.21965735,0.20657392,0.19805707,0.19291906,0.18891262,0.18447118,0.17999744,0.17671178,0.17481907,0.17264628,0.16806115,0.1607713,0.15323843,0.14918979,0.15101063,0.15802927,0.16723521,0.17490298,0.17875265,0.17812693,0.1743586,0.16925071,0.16500697,0.1626516,0.16253214,0.16360623,0.16469337,0.16421829,0.16124101,0.15524064,0.14694186,0.13780975,0.12962814,0.12345644,0.1195182,0.11771903,0.11813041,0.121075176,0.12672938,0.13503104,0.1461087,0.15921949,0.17368501,0.18794288,0.20355415,0.22097234,0.23970704,0.25254318,0.2535305,0.24045044,0.22031455,0.20263956,0.19527452,0.19953261,0.21047802,0.21965711,0.21977718,0.21089081,0.20029406,0.19792862,0.20713627,0.22310089,0.2367206,0.2422062,0.2402459,0.23585819,0.23517768,0.24022527,0.24866287,0.25351974,0.24927868,0.23545323,0.21895945,0.20886923,0.2089241,0.21394677,0.21415217,0.2045299,0.1882479,0.17244053,0.16126281,0.15412806,0.14968173,0.14770447,0.14880936,0.15132533,0.15244162,0.14917304,0.14122702,0.13096885,0.12387783,0.12537543,0.13778834,0.15801553,0.17990972,0.19839835,0.21173869,0.22061872,0.22601281,0.22881489,0.23030882,0.23233919,0.23663646,0.24388431,0.25338128,0.26312342,0.27086553,0.27528262,0.27658972,0.27606866,0.2749271,0.27310923,0.26846182,0.25775084,0.23979276,0.21820982,0.19986372,0.1890812,0.18403327,0.17956431,0.1734842,0.16899896,0.17042322,0.17853118,0.18903536,0.1966298,0.19758205,0.19135116,0.17870873,0.1612892,0.14099905,0.12061497,0.10337954,0.093084775,0.09384168,0.1081489,0.13309552,0.15841047,0.17226173,0.17058311,0.1612284,0.15596949,0.1598252,0.16828136,0.17440458,0.17602049,0.17640562,0.18110721,0.19423003,0.21528494,0.23730385,0.25000584,0.24766277,0.23385508,0.21809234,0.20765503,0.20352222,0.20253265,0.20154138,0.19949828,0.19710876,0.19570677,0.1957392,0.19569558,0.19279891,0.18562813,0.17603357,0.16822867,0.16526568,0.16716586,0.17118162,0.17441417,0.1750065,0.17292385,0.16892393,0.16375656,0.15730427,0.1492395,0.14004858,0.1312504,0.12472267,0.12127235,0.12073482,0.122392915,0.12684269,0.13570368,0.15002246,0.16977094,0.19714092,0.24187326,0.3140329,0.41040424,0.50210434,0.55146533,0.53653854,0.46998107,0.3833506,0.30716002,0.25624272,0.23634547,0.24852233,0.29209566,0.36099127,0.44279042,0.51582175,0.5551707,0.5447274,0.4928138,0.427479,0.3787645,0.35768798,0.35728633,0.364761,0.37652266,0.39911282,0.439634,0.4918354,0.5324766,0.53659326,0.49770105,0.43533182,0.37753943,0.34176412,0.32780656,0.32952705,0.3442303,0.37569597,0.42574036,0.48712933,0.53852755,0.55638736,0.5304647,0.47672486,0.4242083,0.39586064,0.39321506,0.40452254,0.41753387,0.43097177,0.4516022,0.48468146,0.52199465,0.5431888,0.53066397,0.4861822,0.4292442,0.38042828,0.34789634,0.330415,0.32735127,0.34215477,0.37825695,0.43211988,0.49088302,0.5326925,0.53898674,0.50673634,0.4554328,0.4120966,0.39403382,0.3988674,0.41442096,0.43101442,0.4496741,0.47628346,0.51176715,0.5424776,0.5484571,0.5178325,0.4609733,0.40027356,0.35499814,0.32901064,0.3182375,0.3199705,0.33824098,0.3789035,0.44033217,0.505404,0.54541904,0.5379388,0.48686877,0.42139044,0.37505415,0.36194456,0.37400022,0.39479423,0.41561303,0.44033745,0.47639537,0.5218651,0.55859095,0.56408876,0.52950644,0.4680265,0.40304717,0.35149482,0.31890354,0.30516937,0.3114638,0.33948398,0.38765097,0.4469813,0.4987341,0.52200407,0.50520885,0.45889297,0.4074663,0.37417805,0.36477542,0.37131307,0.38278332,0.39672908,0.41969526,0.45763347,0.50391895,0.53669566,0.5339907,0.4924644,0.43106332,0.37503377,0.3380505,0.32017073,0.31722942,0.32956967,0.36141124,0.41367707,0.47594932,0.52416563,0.5334559,0.4962517,0.43274045,0.37567115,0.34859166,0.35165524,0.37125182,0.3941563,0.41915044,0.4516369,0.4938043,0.53288776,0.54853487,0.52691084,0.4760845,0.41687474,0.36821708,0.33540234,0.31773555,0.3162055,0.33543065,0.37791002,0.4381701,0.5007159,0.54235953,0.5449152,0.5084558,0.45445025,0.4101824,0.39076126,0.39281833,0.40461645,0.4181491,0.43609035,0.46436253,0.5021044,0.53234214,0.53416353,0.49828503,0.43925086,0.38130113,0.3424699,0.3248041,0.3231714,0.3336998,0.35848308,0.4005154,0.45697546,0.5117262,0.54171324,0.5302001,0.48368838,0.42561182,0.38200817,0.36251977,0.36316684,0.37384784,0.39038837,0.41550887,0.45310584,0.49846205,0.5338509,0.5398256,0.50970745,0.45575213,0.3973268,0.34827343,0.3143375,0.29843915,0.30451342,0.33526835,0.388695,0.45406994,0.51019955,0.5339102,0.513964,0.46332678,0.4097884,0.37875387,0.37703553,0.39577773,0.42091063,0.44504464,0.4700854,0.50008345,0.5306673,0.54602385,0.53112346,0.48624352,0.42879105,0.37895587,0.3470095,0.3330371,0.33549035,0.3552691,0.39401612,0.44778037,0.50362414,0.5400819,0.5399212,0.50331324,0.45152667,0.4106891,0.39422643,0.39714107,0.40708467,0.41630772,0.4281756,0.4505122,0.48655215,0.52447814,0.5453672,0.5357663,0.5019422,0.46124735,0.4295301,0.4097514,0.39803687,0.39161775,0.3949457,0.4158865,0.45655218,0.50484073,0.5364971,0.5322434,0.49379525,0.4447802,0.41101682,0.40338108,0.41404176,0.42956343,0.4422489,0.4556502,0.47636715,0.5047043,0.52735156,0.5279828,0.4998571,0.45353815,0.405318,0.3665096,0.34017578,0.32816884,0.3342426,0.36219755,0.41052258,0.4691948,0.5173486,0.5327168,0.5046291,0.44776616,0.3907056,0.3584747,0.3543676,0.36715838,0.3810165,0.38674584,0.38144875,0.36834273,0.3547369,0.34788504,0.3514469,0.3622518,0.37430143,0.38162622,0.38394448,0.38415322,0.38531324,0.38330197,0.3703443,0.34178877,0.30531478,0.2767373,0.26973477,0.28573906,0.31553507,0.34706295,0.37298617,0.39083993,0.4002405,0.39879286,0.3828474,0.34967878,0.3029311,0.25395733,0.21908756,0.2104932,0.22876436,0.26169243,0.29268277,0.31145668,0.3189365,0.3213599,0.3207368,0.3119612,0.2901888,0.25902364,0.23058267,0.21674468,0.222678,0.2457486,0.2796841,0.3168447,0.3503003,0.37484702,0.38801205,0.38985968,0.3830181,0.37302816,0.3671858,0.37099108,0.38434914,0.40166733,0.4154686,0.42179683,0.4216033,0.41896912,0.4153681,0.40641102,0.38436148,0.34658995,0.3038309,0.27574965,0.27781633,0.30777296,0.34874126,0.3831577,0.40453854,0.4163649,0.4216803,0.4173253,0.3972753,0.36165127,0.32146552,0.29289624,0.28748536,0.3048321,0.33526853,0.3665721,0.39025757,0.4031146,0.40497386,0.39549652,0.37293294,0.33759603,0.2959201,0.2600512,0.24174756,0.24531694,0.26703063,0.29750505,0.32796884,0.35193253,0.36786222,0.37595344,0.377502,0.37183264,0.3582568,0.33567998,0.30644867,0.27690837,0.25846162,0.26076806,0.28535473,0.32141006,0.3519062,0.36436293,0.35941598,0.34730592,0.3365358,0.3251741,0.30657634,0.28064278,0.25804797,0.25025663,0.25850156,0.27349803,0.28426918,0.2861859,0.28067794,0.27236983,0.2652584,0.2615123,0.25983134,0.2575527,0.25268486,0.24544622,0.23609157,0.22422285,0.2104313,0.19801567,0.19162399,0.19314927,0.200507,0.20911163,0.21529312,0.2178185,0.21768741,0.21644823,0.21370123,0.20669799,0.19202554,0.16969168,0.1444665,0.124301046,0.11537796,0.11882052,0.13045979,0.14459187,0.15805003,0.17115289,0.1852581,0.19939412,0.21063869,0.21687861,0.21930487,0.22097309,0.22293709,0.22244455,0.21508242,0.20102127,0.1872409,0.18409605,0.19588806,0.21719389,0.23688127,0.24697357,0.24659906,0.23936607,0.23004133,0.22187014,0.21727683,0.21657836,0.21958117,0.22517611,0.23166613,0.23527671,0.23159184,0.21928982,0.20241958,0.18853213,0.1827087,0.18363385,0.18475984,0.1796029,0.16788046,0.15554456,0.15086548,0.15619417,0.16605584,0.17014353,0.16267818,0.14896844,0.14658612,0.17909646,0.25995794,0.37788248,0.49123922,0.55245,0.5383019,0.4687029,0.38485417,0.3187026,0.27699977,0.25525025,0.25557497,0.28808057,0.358531,0.45464286,0.54610795,0.596961,0.5869205,0.52576536,0.4478147,0.38882092,0.364265,0.366505,0.37947312,0.39489302,0.41837227,0.45823804,0.5103123,0.549756,0.54798955,0.49558058,0.41361895,0.33536386,0.28290117,0.25805965,0.25422922,0.27030185,0.31304887,0.3866302,0.47962007,0.5595969,0.5894632,0.5522468,0.4701977,0.38865685,0.34553215,0.3459541,0.37015966,0.3961304,0.41899058,0.4493307,0.49635687,0.55073243,0.58435065,0.57174605,0.5127788,0.4342202,0.366563,0.32375738,0.30315718,0.30094096,0.32034966,0.36735594,0.43962875,0.52010244,0.5790963,0.5896128,0.54597145,0.4719987,0.40528703,0.3724818,0.37502325,0.3973625,0.4248521,0.45581916,0.49722233,0.5502073,0.59715396,0.60954905,0.56855935,0.4846413,0.38884354,0.31164107,0.26464868,0.24601196,0.25245604,0.28741738,0.35498378,0.44876233,0.54285836,0.5987189,0.5880813,0.51681834,0.42470673,0.3570846,0.33459994,0.34598312,0.3683968,0.38892588,0.41356942,0.45251918,0.503952,0.54353046,0.5431468,0.4927288,0.41497064,0.3452936,0.30851737,0.303629,0.31666002,0.33593354,0.36347315,0.40705827,0.4679295,0.52806306,0.5592441,0.5420686,0.48543444,0.41837826,0.36943397,0.3469971,0.34310222,0.3469472,0.35775673,0.38424298,0.43267152,0.4936901,0.53973913,0.543675,0.49925354,0.4276884,0.35838905,0.31035888,0.286311,0.2840213,0.30341318,0.34725738,0.4124051,0.48503056,0.5391605,0.55055815,0.51217335,0.44447735,0.38160422,0.35035932,0.35477063,0.381675,0.41546282,0.45069075,0.49188128,0.5415828,0.5877378,0.6057252,0.5773391,0.5093529,0.42981914,0.36630294,0.32851532,0.31122968,0.3091891,0.32481757,0.3650113,0.42914256,0.5017423,0.55421346,0.5620198,0.52282023,0.4602621,0.40603188,0.37868968,0.37610242,0.38649902,0.40180817,0.42555186,0.46495536,0.51901627,0.56741196,0.5819368,0.5462312,0.47219428,0.38835034,0.32036197,0.2778357,0.2610744,0.26962754,0.30517483,0.36613047,0.44230184,0.5122065,0.54973036,0.53810877,0.48453534,0.4169589,0.3662045,0.34590772,0.35011992,0.36544254,0.38571987,0.4163632,0.46402225,0.5215971,0.5629322,0.55983156,0.5058833,0.42398512,0.34647548,0.291774,0.2600253,0.24753791,0.25801048,0.29880258,0.36969408,0.45495093,0.5260369,0.5547124,0.5309028,0.4717388,0.40995777,0.37194416,0.36225763,0.3695338,0.3814026,0.39745244,0.42622396,0.47254455,0.5231065,0.54958725,0.5288934,0.46439776,0.38448477,0.31971583,0.2830442,0.27007785,0.27385303,0.29479757,0.3384274,0.4048454,0.47904626,0.5312399,0.53331304,0.4809973,0.40300426,0.3414129,0.32313457,0.3436098,0.38003507,0.41305915,0.44266763,0.47996116,0.52994394,0.57560897,0.58871555,0.5518351,0.47756553,0.3962631,0.33446717,0.29936504,0.2877458,0.29687527,0.3292068,0.38546264,0.4576633,0.5256693,0.5628431,0.55142015,0.49746212,0.43003073,0.38163057,0.36711785,0.37972948,0.40408504,0.43160138,0.4655122,0.5116928,0.5653745,0.60425967,0.6020191,0.5486801,0.4618361,0.37294734,0.3061345,0.2685639,0.25717843,0.27028164,0.3096867,0.37574664,0.4576665,0.52936107,0.5589264,0.5293452,0.456197,0.3787245,0.3334888,0.32984397,0.35148033,0.37353995,0.37933818,0.3653756,0.33700016,0.30289462,0.2690266,0.23797607,0.2097583,0.18554914,0.16761734,0.1582764,0.1578665,0.1645807,0.17456628,0.18296094,0.1856488,0.1816885,0.1735873,0.16540416,0.15985547,0.15719925,0.1562386,0.15548588,0.15445171,0.15343897,0.15411378,0.15814066,0.16620298,0.1763624,0.18531169,0.19063705,0.19270764,0.19362877,0.19468957,0.19517869,0.19360328,0.18968113,0.18473522,0.18028766,0.17697859,0.17445548,0.17234434,0.17033684,0.168306,0.16622625,0.16469017,0.16449267,0.16587715,0.16793816,0.16926096,0.16939677,0.1687444,0.1697547,0.17503679,0.18930362,0.21275897,0.24166894,0.26417193,0.27141586,0.2604195,0.2399124,0.22214168,0.21723258,0.22656178,0.24238992,0.25291553,0.24910708,0.23278408,0.21467574,0.20794582,0.21642055,0.23350143,0.24729829,0.25044742,0.24380936,0.23353939,0.22730863,0.22786093,0.23326902,0.23560423,0.2287562,0.21235901,0.19546461,0.18968637,0.19908471,0.21547796,0.22350584,0.2147224,0.19195159,0.16523808,0.14089651,0.11969671,0.100545995,0.08451012,0.07390324,0.069307484,0.06910164,0.07042005,0.07096537,0.07051933,0.072376885,0.083188795,0.10847644,0.1480195,0.19328351,0.23316562,0.2598112,0.27298537,0.27678514,0.27615428,0.27387288,0.27096832,0.26752236,0.2635847,0.25921464,0.2542005,0.24761142,0.23815821,0.2247346,0.20699482,0.18529743,0.16050828,0.13435532,0.10999969,0.09274017,0.08831347,0.099212535,0.12040285,0.14031588,0.14871371,0.14579399,0.14338712,0.1546999,0.1830548,0.21932173,0.25063506,0.26931918,0.275079,0.27024153,0.25557587,0.23028778,0.19548605,0.15690841,0.124388725,0.1073927,0.10913866,0.12302201,0.13649268,0.14011218,0.13626887,0.13557035,0.1464615,0.16500843,0.18081488,0.18703826,0.18789254,0.191742,0.2041918,0.22494654,0.2497373,0.27301636,0.288272,0.29362658,0.29091513,0.28591785,0.28079674,0.27539387,0.2675315,0.25718126,0.24547185,0.23398656,0.22313768,0.21216458,0.19993924,0.18714641,0.17692572,0.1733978,0.17722891,0.18443857,0.1887639,0.18722777,0.18122894,0.17434211,0.16832389,0.16290307,0.15688376,0.14973037,0.14134856,0.13237956,0.12377717,0.11717778,0.113245904,0.11237844,0.11407141,0.119562864,0.1300576,0.14643067,0.16778868,0.1971202,0.24602492,0.3285534,0.4435779,0.5592572,0.628599,0.62016535,0.5443326,0.43894812,0.34297407,0.27492607,0.2392507,0.2359214,0.26730785,0.33369127,0.42697927,0.52381986,0.5904396,0.6000764,0.5539113,0.48084322,0.416742,0.380235,0.36851558,0.3704144,0.38131735,0.40909836,0.462312,0.53570724,0.59911555,0.6174625,0.5751707,0.4939717,0.4108887,0.3537058,0.3258108,0.31965187,0.33015385,0.36028656,0.41348216,0.4826978,0.5450514,0.57110786,0.54501724,0.48033595,0.4109784,0.36822963,0.3607047,0.3771942,0.40109825,0.42488393,0.4529599,0.4916083,0.5344835,0.5581854,0.53867203,0.47417244,0.3892348,0.3153726,0.26860118,0.2480313,0.24808103,0.26919758,0.31498596,0.3840263,0.4615121,0.52030146,0.53386736,0.49606037,0.4289272,0.36799672,0.33771983,0.33866462,0.35632548,0.37811372,0.40475762,0.4446257,0.49927416,0.54948276,0.5649434,0.52632767,0.44681755,0.3606291,0.29988006,0.2735993,0.27488038,0.29348668,0.32686165,0.3764876,0.44023716,0.5038292,0.54280114,0.537356,0.49009177,0.42800462,0.38288656,0.36917022,0.37823677,0.39346385,0.40729615,0.42768404,0.465889,0.5196046,0.564107,0.5681946,0.51868236,0.43397596,0.348187,0.28738672,0.257783,0.2544058,0.27292266,0.31323025,0.37479678,0.44877625,0.5141892,0.54440707,0.5242807,0.46534,0.39963648,0.35830975,0.35052302,0.36523113,0.38567293,0.40625024,0.43420878,0.478274,0.5314539,0.5675295,0.55881554,0.50085,0.41832373,0.34539905,0.30209607,0.28854153,0.29631254,0.32053605,0.36193642,0.4208553,0.4881626,0.54162997,0.5560034,0.5219629,0.45844924,0.39906144,0.36848095,0.365983,0.37656686,0.3880475,0.40467843,0.43810114,0.49257335,0.54940504,0.5767079,0.5510821,0.48074484,0.39715374,0.33204162,0.29593027,0.28380677,0.28852293,0.31112728,0.3559338,0.4224178,0.49586892,0.54929423,0.5568524,0.5151334,0.4480711,0.39061674,0.36333635,0.36383572,0.3778198,0.39610502,0.4229225,0.46668944,0.5252099,0.57378364,0.5807616,0.5309746,0.44466487,0.35895023,0.3032486,0.28130907,0.28435853,0.30398312,0.34066844,0.39601687,0.46531054,0.53010494,0.56353515,0.54625994,0.48516008,0.4117838,0.36086503,0.34600452,0.3573749,0.3776208,0.39986375,0.4310721,0.47924066,0.5376942,0.5803999,0.5797397,0.5275226,0.44254732,0.3530817,0.27966127,0.23000276,0.20810236,0.21889408,0.2659526,0.3452243,0.44017276,0.5221134,0.5611879,0.5441633,0.48611417,0.4189178,0.3700057,0.34675345,0.3429388,0.35174045,0.37472627,0.4181485,0.48096386,0.5452896,0.5798314,0.56088305,0.49176422,0.40127277,0.32173428,0.26934943,0.24575673,0.24826236,0.27785978,0.33386806,0.4098576,0.48733512,0.5397808,0.54375,0.49755847,0.42639506,0.36632302,0.34016404,0.3463155,0.36893535,0.39445135,0.42215475,0.4593402,0.5084869,0.55431527,0.5709588,0.54068655,0.47323766,0.39673057,0.3381357,0.3057678,0.29518962,0.3005618,0.32255912,0.36581567,0.42930666,0.4979132,0.54320145,0.5410787,0.4926562,0.4256734,0.37483695,0.35619032,0.36411455,0.38256982,0.40322134,0.42902553,0.46725258,0.5146481,0.55139333,0.5533893,0.5117175,0.4418924,0.3698307,0.3151401,0.28420138,0.27748144,0.2947284,0.3359721,0.39747754,0.46862546,0.5281482,0.5520776,0.52773476,0.4689032,0.40654972,0.36892867,0.3620269,0.37349567,0.38484982,0.38287696,0.3622533,0.32546923,0.28315577,0.24997936,0.23784606,0.24766354,0.26895088,0.28676435,0.29282475,0.2913327,0.29352427,0.30597615,0.3226852,0.33146524,0.3259349,0.3127566,0.3047286,0.31031942,0.32841787,0.35270503,0.37755844,0.3998883,0.41634956,0.42146036,0.40877393,0.37577283,0.32761577,0.27801523,0.24384595,0.235609,0.2507025,0.27422214,0.2912111,0.29641426,0.29783133,0.30495343,0.31845126,0.32556978,0.31232515,0.27620175,0.2327649,0.20424253,0.20562321,0.23447256,0.2770831,0.31757888,0.34723762,0.36314848,0.36551365,0.3537052,0.32817826,0.2929145,0.25777182,0.23511125,0.23315783,0.24960005,0.2726132,0.2894471,0.2955808,0.2965633,0.2996509,0.3047429,0.3025788,0.28402627,0.25122353,0.21964584,0.20854966,0.2265286,0.26659605,0.31257126,0.3513159,0.37783062,0.3917954,0.39143237,0.37325478,0.33728027,0.29228735,0.25367662,0.23560919,0.2418315,0.26423633,0.2891922,0.3074319,0.31878957,0.32814905,0.33725488,0.33942118,0.3246605,0.289415,0.24369343,0.20617817,0.19285111,0.20792328,0.243418,0.28632975,0.3244767,0.35082245,0.36199036,0.3575307,0.33774093,0.30512938,0.26488426,0.22425087,0.18881913,0.1604904,0.13829978,0.122005545,0.11327991,0.115396716,0.12912382,0.15122496,0.17299159,0.18591903,0.18523936,0.17358096,0.15641147,0.13887906,0.122785635,0.10863205,0.09657803,0.087430604,0.082433976,0.08389234,0.09431269,0.113253534,0.13547273,0.15332939,0.1630641,0.16609359,0.16472195,0.15812565,0.1450869,0.12983896,0.120767504,0.123009704,0.13214742,0.137927,0.13380702,0.12257437,0.113334,0.11263815,0.120408095,0.13093753,0.13834745,0.13850272,0.1310567,0.11979864,0.11292761,0.1179348,0.13548797,0.1578688,0.17562814,0.18477792,0.18675137,0.18216835,0.16940887,0.14981425,0.13242848,0.12851906,0.14186245,0.16559766,0.18781026,0.19988126,0.19782569,0.18341036,0.16283758,0.14722688,0.14469628,0.15424116,0.16448875,0.16431348,0.15293205,0.14136736,0.14200442,0.15816765,0.18188936,0.2034202,0.2174093,0.22416298,0.22142488,0.20711853,0.18268071,0.15954632,0.14815913,0.15045679,0.15553696,0.15345722,0.14302194,0.13403808,0.13532732,0.1486368,0.16738462,0.18334216,0.19011323,0.18469286,0.17037213,0.15994835,0.17603917,0.23593359,0.33532858,0.43804774,0.49788937,0.486293,0.41470715,0.31895602,0.23615575,0.18561177,0.1735857,0.20012264,0.2625506,0.35270223,0.45455647,0.54303366,0.5896568,0.5771459,0.5155949,0.43942943,0.3848834,0.3653971,0.36967513,0.37925377,0.3879392,0.40566722,0.4443483,0.49968806,0.5447249,0.5482194,0.49962714,0.41997764,0.3430964,0.2921909,0.27025476,0.27206376,0.2953277,0.34330416,0.41530213,0.49929127,0.56842536,0.5943227,0.56358117,0.49273995,0.4156383,0.36312935,0.34241572,0.343411,0.35280505,0.3694681,0.40238678,0.45719257,0.5210119,0.561754,0.5498236,0.481787,0.38489994,0.2941325,0.2299924,0.19594753,0.19207959,0.22306965,0.29242936,0.39200148,0.49715242,0.572532,0.5899568,0.5462129,0.46949044,0.3993658,0.36279938,0.35906944,0.3723128,0.38834372,0.40931568,0.4454994,0.50069326,0.554957,0.5755897,0.53962123,0.45864508,0.3673098,0.29977715,0.26678133,0.26232395,0.273598,0.28794348,0.29026684,0.269592,0.2289355,0.18827707,0.17059483,0.18639363,0.2274255,0.27725017,0.32072,0.35118818,0.36877343,0.38148388,0.40285614,0.44415307,0.50201195,0.55157274,0.5617514,0.51675826,0.43159935,0.33724144,0.26151773,0.21483564,0.19854657,0.21168087,0.25600526,0.32906905,0.4199685,0.50336045,0.54909116,0.5372333,0.47658893,0.397895,0.33411196,0.29890952,0.28752682,0.29031602,0.305863,0.342159,0.4041451,0.47981104,0.5377372,0.5469064,0.5006981,0.42288268,0.34692845,0.29411414,0.26802817,0.26620147,0.2876928,0.33379388,0.4012324,0.47767243,0.5388337,0.5591897,0.52857786,0.46521494,0.4038094,0.37251398,0.37551335,0.39881185,0.42640653,0.45301327,0.48348626,0.5215576,0.5584929,0.573276,0.5486632,0.48766515,0.41314736,0.34974805,0.3090336,0.2905859,0.29262263,0.31617686,0.36117843,0.42044553,0.477916,0.5122515,0.50778586,0.46656132,0.41040805,0.3664135,0.3490536,0.35409304,0.3690528,0.38643143,0.4098363,0.44625497,0.49416375,0.53423566,0.54062873,0.49963608,0.4261317,0.3509607,0.30099964,0.28231287,0.28787613,0.3084493,0.34116518,0.38546452,0.43726838,0.4827578,0.50256836,0.4839169,0.4351293,0.38273597,0.3535378,0.3552247,0.37558982,0.3979477,0.4162148,0.43862227,0.4743129,0.5197596,0.55246574,0.5481189,0.49942908,0.4253061,0.3540367,0.30544874,0.28360048,0.285468,0.3081275,0.3493577,0.40379167,0.46050656,0.5030677,0.5158062,0.49326822,0.44823447,0.4042187,0.38051188,0.37963417,0.39140114,0.40521124,0.4198276,0.4424751,0.47780338,0.5169293,0.5377018,0.52037376,0.46581304,0.3960078,0.33798626,0.3054477,0.29753062,0.30699167,0.32972512,0.36516526,0.4124907,0.46300367,0.49813607,0.4986347,0.4617823,0.40908214,0.3719548,0.36814722,0.3906627,0.4194325,0.44096074,0.45825836,0.48293653,0.5194928,0.5542118,0.5640046,0.53413224,0.4735299,0.40541354,0.35108158,0.3174088,0.30329058,0.30511308,0.31693447,0.32605374,0.3188456,0.29219007,0.25920573,0.24024683,0.24809341,0.28038085,0.32428834,0.36718225,0.40233755,0.42781767,0.44015515,0.43258926,0.39904657,0.34311402,0.2806935,0.23293085,0.21270508,0.21745785,0.233608,0.24854578,0.25907347,0.27035964,0.2870435,0.30464688,0.31015992,0.29237068,0.25411403,0.21366142,0.19354665,0.20632328,0.24851882,0.30612338,0.36288247,0.40725282,0.43331203,0.4400774,0.42875528,0.40145764,0.36168292,0.31610146,0.27531108,0.2501659,0.2453276,0.25541738,0.2681145,0.2734991,0.27080882,0.26787695,0.27231506,0.28267574,0.28770554,0.27642426,0.25010583,0.22360134,0.2129398,0.2222311,0.24182768,0.25853917,0.26556477,0.26463494,0.26186004,0.26210558,0.26697257,0.27463922,0.2825466,0.28856376,0.2916683,0.2915719,0.28876296,0.28496435,0.28185704,0.28067327,0.28044966,0.27851018,0.26984942,0.25023308,0.21898042,0.1812709,0.14518897,0.11708828,0.09883308,0.088576555,0.08349186,0.08181688,0.08442849,0.09523327,0.118243404,0.153214,0.19248815,0.22536981,0.24540804,0.2547777,0.2593815,0.2608315,0.2555085,0.24202317,0.22764595,0.22232579,0.22815818,0.23605311,0.2369076,0.23158677,0.23095953,0.24385738,0.26906195,0.2965702,0.31617555,0.32378364,0.32078457,0.3112233,0.29865432,0.28639498,0.2768643,0.27167264,0.27072418,0.27249992,0.2734361,0.26886725,0.2549452,0.2339196,0.2146505,0.20756666,0.21384232,0.22300637,0.22016408,0.19868283,0.16401723,0.12822546,0.10066099,0.084153384,0.07664635,0.07472187,0.07572893,0.07886839,0.086548924,0.103459,0.13275616,0.17096204,0.20826797,0.23450656,0.24572039,0.24462366,0.23565185,0.22172457,0.20588751,0.19473742,0.19674994,0.21608151,0.2483658,0.28310028,0.31063902,0.32641307,0.33095953,0.32651433,0.31536043,0.29906964,0.28010538,0.2617856,0.24827892,0.24197917,0.24192376,0.24304803,0.23894423,0.22701357,0.2111706,0.19996268,0.19885546,0.20674914,0.21716349,0.2246453,0.22665662,0.22270153,0.21169384,0.19260222,0.16623914,0.13616087,0.10743315,0.084494255,0.0708307,0.069533564,0.0824576,0.10697902,0.13408606,0.15359883,0.16174768,0.16495866,0.17250176,0.18864222,0.20942636,0.22803092,0.2395965,0.24309061,0.24074008,0.23613457,0.23311472,0.23354651,0.23736012,0.24262995,0.24698438,0.24845,0.24621065,0.24042307,0.23170196,0.22071429,0.20860516,0.19669713,0.18619882,0.177453,0.17098838,0.16801096,0.17010333,0.17696597,0.18522048,0.19004583,0.18806362,0.1797903,0.16803281,0.15617539,0.14561915,0.13669415,0.12894718,0.12251628,0.11762422,0.11459876,0.11367989,0.115109466,0.11923057,0.12613331,0.13600646,0.14885283,0.16398902,0.17912526,0.1911474,0.19967328,0.20796508,0.22041543,0.23524196,0.24568462,0.24615937,0.240551,0.23804538,0.244399,0.25618613,0.2658875,0.26961315,0.27019584,0.27285996,0.2783945,0.28068817,0.27186954,0.2518936,0.23110797,0.22305876,0.23213756,0.2513428,0.26837477,0.27586964,0.27322182,0.26523235,0.25708666,0.25301048,0.2539249,0.25886104,0.2651807,0.27070174,0.27357307,0.2733345,0.27077532,0.26801336,0.26719198,0.27003273,0.27638963,0.28397056,0.28723595,0.27969,0.2567908,0.2201147,0.1778512,0.1415084,0.11976856,0.11395576,0.11909207,0.12910928,0.14254339,0.16206539,0.18978794,0.22176002,0.24984814,0.26786777,0.27570102,0.27623236,0.26980028,0.2561358,0.23935598,0.22914775,0.23103158,0.23969655,0.24284165,0.23473579,0.22240634,0.22004716,0.23579364,0.26619723,0.29923728,0.3234785,0.33295092,0.32810828,0.31372055,0.29659483,0.28279623,0.27522275,0.27312994,0.2746593,0.27764484,0.27940366,0.27443597,0.25891083,0.23575097,0.21691406,0.21367665,0.22552319,0.23805155,0.23453759,0.20926744,0.17026167,0.1311461,0.10180893,0.08500867,0.07867592,0.07854126,0.08110601,0.0857097,0.09635072,0.11820495,0.15255027,0.19279148,0.2288361,0.25270522,0.262785,0.2607433,0.2502148,0.23642696,0.22823064,0.2338842,0.25566378,0.28668222,0.31619594,0.33644935,0.3459344,0.34671485,0.3409967,0.32999396,0.31492934,0.2975276,0.28047475,0.26642725,0.25803876,0.25556242,0.25656873,0.25528923,0.24720712,0.23242648,0.21761513,0.21021067,0.21303636,0.22177981,0.2301684,0.23386474,0.23193805,0.22361624,0.20738424,0.18205567,0.14954016,0.11524704,0.085502885,0.06483198,0.05501021,0.057208877,0.071791165,0.0965111,0.123933636,0.14599133,0.15921144,0.16825998,0.17849372,0.19223265,0.20570117,0.21705365,0.22511524,0.2319207,0.2364446,0.2387804,0.2380225,0.2358907,0.23333496,0.23167981,0.23112847,0.23204876,0.23397672,0.2357056,0.23553592,0.23268075,0.2277268,0.2215255,0.21441965,0.2059627,0.19742547,0.19128531,0.19097793,0.19604115,0.20302147,0.20608574,0.20264506,0.19329388,0.18159817,0.17049359,0.16159137,0.1546578,0.14899845,0.14412801,0.14115848,0.14228486,0.14917141,0.15920179,0.16580336,0.16259845,0.15011539,0.13524841,0.12567857,0.12379178,0.12823105,0.1391926,0.15920663,0.18883522,0.2201804,0.24029003,0.2383671,0.21447445,0.17800175,0.14156106,0.11377061,0.097608574,0.093142755,0.10014353,0.1181863,0.14418931,0.17195873,0.19490856,0.20971416,0.21765994,0.22231261,0.22705097,0.23307812,0.23990063,0.24557455,0.2483858,0.24752848,0.2440766,0.2401051,0.23789106,0.23898447,0.24383509,0.25145495,0.25916755,0.26377296,0.2632211,0.25827092,0.25150016,0.24550454,0.24068542,0.23595148,0.22991729,0.22291811,0.21650861,0.21260066,0.21188545,0.2133426,0.21502383,0.21504925,0.21429203,0.21511899,0.2200769,0.22612703,0.22720943,0.21792693,0.2014863,0.18629998,0.18028015,0.18423331,0.19464757,0.2072361,0.2187798,0.22573088,0.22592938,0.22174907,0.21955764,0.22418524,0.23377506,0.2421801,0.24492002,0.24271093,0.23883589,0.23493086,0.2302019,0.22384627,0.21724653,0.21341415,0.21323013,0.21437939,0.21246356,0.20643435,0.19932963,0.19591069,0.19638781,0.19625199,0.19020446,0.17819645,0.16413766,0.1511447,0.13789164,0.121536724,0.10217739,0.08373793,0.07114795,0.06709095,0.071070276,0.07951689,0.08722958,0.090693034,0.091764815,0.098361045,0.11816394,0.15202336,0.19123304,0.22488381,0.24609976,0.25531027,0.2556145,0.2507715,0.24365723,0.23773222,0.23547333,0.2381471,0.24489975,0.25397316,0.26291645,0.26956174,0.27247778,0.271456,0.26735604,0.26088718,0.25140163,0.23632169,0.21409595,0.18750404,0.16454546,0.15212409,0.14997561,0.15073524,0.14862262,0.14595596,0.15005463,0.16468623,0.18519604,0.20334665,0.2132725,0.21419255,0.2072139,0.19315468,0.17275333,0.14878224,0.12686597,0.11397419,0.11487546,0.12869622,0.14684255,0.15733688,0.15212394,0.13530779,0.12059749,0.121079944,0.13741815,0.15782665,0.17002428,0.17156482,0.1706809,0.17558073,0.18909465,0.20779108,0.226812,0.24078234,0.24602313,0.24251337,0.23435642,0.226708,0.22149883,0.2176948,0.21364151,0.2097029,0.20716918,0.20636189,0.20541535,0.20149374,0.19293816,0.18130185,0.17025077,0.16345559,0.16100812,0.16073854,0.15987031,0.15793341,0.15543655,0.15263657,0.14917909,0.14468335,0.13970603,0.13449274,0.12919267,0.12322574,0.116853,0.11064408,0.10571936,0.102710955,0.10291814,0.1082907,0.12025088,0.13797699,0.16113685,0.19704427,0.25992513,0.3578155,0.47257233,0.56378746,0.5928388,0.5540823,0.47247124,0.38364318,0.31071845,0.26627782,0.25765243,0.28976968,0.3580724,0.44740573,0.53415054,0.59223217,0.60276765,0.5648898,0.50016266,0.43839908,0.3993753,0.38285327,0.37852764,0.38036588,0.39497408,0.43375894,0.49835634,0.56831694,0.6108839,0.6016065,0.54495966,0.46656212,0.39555958,0.34688517,0.3251246,0.33049843,0.3639003,0.422282,0.4952847,0.5624731,0.5987056,0.5871306,0.5340034,0.4682697,0.42313135,0.4139103,0.43279245,0.46175194,0.48965487,0.51938313,0.559141,0.60818076,0.64737487,0.65157527,0.6091076,0.5342682,0.45312205,0.38582706,0.3392943,0.3171435,0.32518265,0.36815706,0.44139957,0.52863216,0.6036156,0.6404617,0.6261936,0.57288796,0.5104309,0.46848407,0.4583013,0.47211942,0.49509802,0.5176647,0.54101914,0.56910604,0.59868604,0.6130407,0.5947203,0.5406154,0.46825853,0.40063667,0.35165107,0.32306457,0.31510308,0.33213982,0.37942514,0.45313123,0.5359109,0.59897786,0.617989,0.5874106,0.5281801,0.4713407,0.43917045,0.4327347,0.44060156,0.45217845,0.46788087,0.4953619,0.5380821,0.5831118,0.6063015,0.5882842,0.5326504,0.4598336,0.3930763,0.34380206,0.3171952,0.3165808,0.34597528,0.40344384,0.47881174,0.5526715,0.600878,0.60509014,0.5658827,0.50588423,0.45528683,0.43187776,0.4327103,0.44352973,0.45454398,0.46889004,0.49593782,0.53675,0.5737578,0.5814111,0.5458853,0.4795359,0.40893885,0.35651514,0.3281822,0.32113978,0.33264717,0.3647461,0.41788045,0.48495927,0.5462269,0.57753235,0.5642557,0.51619405,0.46133116,0.42704937,0.42113018,0.43242827,0.44320738,0.44123623,0.42174026,0.38550887,0.33672377,0.28439856,0.23987144,0.21313596,0.2065205,0.21557392,0.23270316,0.25265223,0.27209136,0.28780317,0.29565,0.2925848,0.27909923,0.259361,0.24024375,0.22811748,0.22701663,0.23568833,0.24845783,0.25643396,0.25360873,0.23912017,0.21925098,0.20105319,0.18966943,0.18357664,0.17982428,0.17547502,0.17246573,0.1723994,0.17604017,0.1807406,0.18694729,0.19704217,0.21479362,0.23680489,0.25508094,0.25946218,0.24791823,0.22586553,0.20463805,0.19225754,0.19052927,0.19406098,0.19569053,0.19299112,0.19399667,0.21758334,0.28057334,0.3810781,0.48740068,0.55637765,0.55994314,0.5064164,0.42587617,0.3494673,0.29242936,0.26152906,0.2608808,0.29521468,0.3625709,0.45062783,0.5345709,0.58623284,0.58816123,0.5474049,0.49052522,0.44496846,0.42125925,0.41262686,0.40925762,0.4103316,0.42666355,0.46729994,0.5271854,0.5807771,0.5995249,0.57035476,0.506946,0.43426642,0.3737214,0.3346666,0.32191923,0.3380644,0.38314137,0.4492632,0.52125716,0.5765273,0.5943225,0.565617,0.5055322,0.4448259,0.41246772,0.4155648,0.4414939,0.47205332,0.49941292,0.52794474,0.5633999,0.60027623,0.6200504,0.60476136,0.55260867,0.47882143,0.4031835,0.33865312,0.2948781,0.28217968,0.30951715,0.37384805,0.45869112,0.5387993,0.5892486,0.5945392,0.5568704,0.49848127,0.44849804,0.4261131,0.4311607,0.4513844,0.475032,0.49894056,0.5267135,0.56020355,0.5905703,0.60132885,0.5786446,0.5255601,0.45775092,0.39512277,0.34930053,0.32624987,0.3281535,0.35627273,0.40799126,0.47444823,0.539342,0.5822346,0.58825797,0.5588115,0.5118611,0.4706314,0.44800034,0.44291064,0.44678342,0.45531785,0.47240472,0.5038917,0.5457614,0.5785516,0.5790999,0.53789556,0.46742368,0.39016518,0.32442403,0.27975607,0.26306495,0.2799071,0.33085847,0.40669093,0.4905851,0.5596855,0.59359956,0.5826202,0.5386248,0.48712412,0.4523827,0.44096804,0.44478318,0.45241332,0.46134412,0.47846445,0.5100209,0.54974157,0.57597286,0.5671968,0.51938844,0.45157158,0.3889016,0.3467416,0.32606962,0.32402766,0.34052822,0.37870947,0.437426,0.50638586,0.56361705,0.5866477,0.5658909,0.5154727,0.46175286,0.4268504,0.41519716,0.41973725,0.4321468,0.45275077,0.4867994,0.53577805,0.5851745,0.60972875,0.5889185,0.5265021,0.4452399,0.37078094,0.315603,0.28468177,0.28235403,0.31436196,0.37875506,0.4623069,0.54138917,0.5902474,0.59184265,0.5498315,0.48861185,0.43937913,0.42021605,0.4289522,0.45103666,0.47447208,0.4982356,0.52820724,0.5653536,0.5959081,0.5987131,0.562043,0.49723879,0.42916742,0.37886417,0.35122505,0.34259775,0.34981668,0.37552276,0.42108247,0.48135397,0.53940207,0.5738866,0.56954426,0.5313089,0.48073485,0.44313207,0.42956424,0.4350861,0.4473325,0.46078622,0.48073676,0.51555115,0.5615888,0.5977871,0.59820753,0.5527757,0.47576475,0.39330646,0.32672754,0.28533086,0.27257928,0.28990734,0.33737996,0.40841338,0.48809108,0.5522885,0.5784211,0.5580154,0.50631964,0.4507451,0.41300085,0.39636835,0.3924836,0.3943633,0.40577435,0.43686938,0.49231824,0.55820316,0.6056025,0.6073122,0.55954176,0.48196986,0.4032463,0.34255955,0.30828497,0.30291307,0.32801378,0.38178602,0.45548788,0.53140396,0.5840418,0.5922024,0.5524716,0.48742095,0.43059334,0.40595114,0.4140065,0.43995476,0.46910226,0.49818918,0.53236705,0.5737438,0.6109027,0.6234172,0.59638023,0.5345304,0.45630422,0.38174257,0.32225958,0.28660336,0.2825729,0.31508854,0.37795094,0.45388237,0.51840854,0.5491157,0.5359588,0.4892613,0.43480834,0.39782712,0.38784325,0.39778957,0.4150705,0.43335012,0.45668688,0.49179077,0.536463,0.57288265,0.5783233,0.5423518,0.47597203,0.40160728,0.338367,0.2960948,0.27965117,0.29199952,0.3324671,0.39331076,0.46020484,0.5139445,0.5374363,0.52338237,0.48227644,0.43645486,0.4077153,0.40353426,0.416769,0.4326112,0.43773988,0.42512718,0.39518404,0.35521078,0.31663993,0.2898941,0.27895683,0.2776653,0.27530357,0.26512125,0.25358695,0.25359643,0.2720181,0.29717913,0.3078359,0.2911525,0.25794998,0.2345931,0.24280536,0.28315058,0.33886483,0.3904543,0.4278562,0.44903946,0.45429754,0.44213894,0.4125431,0.36982527,0.32420716,0.28794518,0.27008268,0.27100617,0.28210604,0.29158056,0.29304016,0.29065013,0.2933598,0.30404797,0.31200835,0.30216184,0.27065352,0.23477583,0.22027844,0.24250464,0.2936319,0.35341358,0.40304872,0.43573248,0.4509567,0.45013455,0.43324494,0.40184483,0.36045977,0.3175218,0.28432003,0.26958835,0.27334484,0.28373113,0.28640103,0.27666518,0.2659901,0.26918113,0.28807187,0.30515003,0.30076662,0.27302107,0.24341911,0.23757474,0.26496217,0.31213892,0.35829496,0.38947532,0.40529037,0.41041443,0.4083382,0.39740214,0.3749133,0.34171486,0.30545175,0.27820745,0.2686176,0.2758719,0.29004994,0.30142406,0.30849132,0.31784204,0.33374414,0.34917095,0.34870958,0.3240521,0.2858425,0.25928822,0.26453593,0.30174413,0.35336575,0.39966074,0.43085,0.44607422,0.44627535,0.4289181,0.39146456,0.3357787,0.27158937,0.21223521,0.1686206,0.14388801,0.134095,0.13274574,0.13399856,0.13465022,0.13303578,0.12922432,0.12374565,0.11728733,0.11050149,0.103903025,0.09820378,0.09355885,0.090159915,0.08801479,0.087284036,0.08762539,0.08825942,0.08823768,0.087132394,0.08503923,0.0824646,0.07983022,0.077593945,0.076004356,0.07515221,0.07473159,0.07431104,0.073577136,0.07248918,0.07121259,0.0698786,0.06862328,0.06751054,0.06668908,0.066210575,0.06603944,0.06591017,0.06554546,0.06478042,0.06375365,0.06253644,0.060756743,0.057090536,0.05031179,0.04064854,0.031232024,0.02638913]