[0.0006611029,0.0018553255,0.0055556595,0.0125236,0.022364235,0.032830704,0.04116196,0.045575798,0.04626356,0.044547345,0.041752953,0.038482457,0.03473814,0.030473575,0.025957843,0.021883244,0.018929755,0.017588196,0.018184477,0.02137001,0.027443687,0.03576082,0.043973595,0.04970224,0.051655676,0.05066702,0.048222434,0.045580346,0.043060124,0.04068282,0.038559426,0.03703593,0.036353383,0.03625838,0.03603239,0.034927342,0.03281498,0.030284822,0.028210098,0.027077965,0.026766626,0.027185677,0.029072894,0.03430425,0.04400229,0.05644769,0.066435754,0.06897965,0.06342464,0.054755744,0.04945833,0.050798357,0.057025313,0.06410757,0.06898724,0.07113686,0.07145145,0.07084758,0.06938574,0.06657502,0.06191809,0.055523425,0.048240185,0.041320298,0.036154885,0.034151327,0.037182134,0.046329323,0.06084718,0.07677433,0.08950856,0.09588707,0.096378095,0.09312025,0.088431746,0.08333075,0.07830735,0.07407015,0.07205049,0.07369775,0.07875121,0.08441797,0.08646556,0.08256916,0.07398584,0.064695485,0.058061305,0.054979477,0.054261375,0.05467911,0.05646963,0.060570735,0.06667297,0.07185488,0.07267051,0.06861853,0.06372006,0.063286446,0.06945825,0.07929715,0.08796129,0.09230536,0.09279889,0.091455676,0.09005294,0.08867497,0.086690664,0.08322314,0.07840756,0.072939165,0.06811741,0.06452722,0.062436644,0.061631788,0.06198317,0.06282515,0.063089855,0.062058482,0.060115505,0.0585959,0.058503445,0.05986416,0.061851036,0.06366095,0.06500315,0.06616998,0.0674619,0.06872592,0.06913554,0.06787684,0.06470212,0.060231175,0.055511277,0.05147258,0.048556376,0.0465544,0.04506311,0.0438802,0.043165702,0.04295517,0.0427095,0.041790675,0.040137544,0.038935352,0.03973193,0.04343285,0.049169596,0.05492634,0.058660462,0.05969873,0.058681726,0.05688763,0.05517377,0.053667843,0.051831022,0.049107205,0.04537462,0.04122478,0.0377426,0.036427975,0.039166395,0.04727499,0.06010462,0.07401151,0.08453524,0.0891554,0.08917778,0.08748373,0.08630568,0.08579522,0.08566758,0.08585159,0.08671755,0.08785179,0.08817053,0.08655548,0.08288645,0.078173555,0.07385386,0.07103472,0.06985291,0.06961811,0.069297165,0.06856406,0.068368755,0.06999483,0.07356443,0.07695874,0.07809338,0.0773274,0.07906667,0.08845615,0.10751166,0.13225396,0.15524739,0.16979663,0.17384656,0.16965671,0.16150339,0.15272053,0.14449356,0.1362602,0.12701169,0.11683142,0.10690751,0.09908057,0.09496381,0.096244164,0.1045432,0.11983202,0.1391322,0.15663154,0.1676579,0.170721,0.1681431,0.16276585,0.15676145,0.1509689,0.14628595,0.14398521,0.14563255,0.15121205,0.15786412,0.16036735,0.15509544,0.14291008,0.12891674,0.11810719,0.11221197,0.1095854,0.10820427,0.10784627,0.11001769,0.11519012,0.121051334,0.12315476,0.11886525,0.10947237,0.09950342,0.09283381,0.090685785,0.09158006,0.093312986,0.09399208,0.09268726,0.08924938,0.08421429,0.078367345,0.07248448,0.06738794,0.06395825,0.06299067,0.06481693,0.06962507,0.07813851,0.09130711,0.10871464,0.1271159,0.14174931,0.14914411,0.14889906,0.14248465,0.13171184,0.11822545,0.10485316,0.09518889,0.09288915,0.09857929,0.10966906,0.12025415,0.12559208,0.12388411,0.11771244,0.11047409,0.10466469,0.10037491,0.09726409,0.0962477,0.10095445,0.115286194,0.13843304,0.16160627,0.17227264,0.16383298,0.14144836,0.11746124,0.101309896,0.0937568,0.09019077,0.08666592,0.082773216,0.07968373,0.07779844,0.07637478,0.07459963,0.072511904,0.0709083,0.07079658,0.07266743,0.076108545,0.08014264,0.08405742,0.08789668,0.091825135,0.09536683,0.09738013,0.09725455,0.09546587,0.09323602,0.09142155,0.09016531,0.08914342,0.088178776,0.08748115,0.087734394,0.08925309,0.091611676,0.093166314,0.092514694,0.089089565,0.084053315,0.07897463,0.07521301,0.07319194,0.07318073,0.07585603,0.08120754,0.087715656,0.091659494,0.09145388,0.08979556,0.09507054,0.11416427,0.14729594,0.18484993,0.21460186,0.22844599,0.22615582,0.21126898,0.1878751,0.15989769,0.1325345,0.1108947,0.09744868,0.090976246,0.08828461,0.086406104,0.084217876,0.0830904,0.087041534,0.09901119,0.11784768,0.1359572,0.14553909,0.14267124,0.13064697,0.11471894,0.0993315,0.08598844,0.075600415,0.069349475,0.06904442,0.07510809,0.08560171,0.096348785,0.1047138,0.11190933,0.12230789,0.13804,0.15576977,0.16849345,0.17148466,0.1656565,0.15599693,0.14718546,0.14100039,0.13702844,0.13534023,0.13926321,0.15467237,0.1854114,0.2267044,0.2648823,0.28506348,0.2818373,0.26186916,0.23773386,0.21913928,0.2096846,0.20800282,0.21073996,0.21421933,0.2164418,0.21719582,0.21808101,0.22094196,0.22821023,0.24171503,0.26068193,0.27916476,0.2875866,0.27934542,0.2560623,0.22690777,0.2012137,0.1829841,0.17081518,0.16164035,0.15376644,0.14710493,0.14328064,0.14478649,0.15462472,0.17457129,0.20556791,0.24656491,0.2930437,0.3335897,0.35325766,0.34248158,0.30605915,0.2610859,0.22542596,0.20769037,0.20706397,0.21985507,0.24455261,0.27858225,0.31454143,0.3387066,0.34073374,0.32028857,0.28912959,0.260538,0.2418126,0.23162629,0.22542632,0.2195309,0.21283495,0.20627302,0.20155235,0.2001586,0.2026633,0.2097076,0.22300677,0.24296065,0.26589513,0.28225783,0.28409052,0.27028602,0.24928685,0.23050429,0.21900906,0.2135437,0.21123765,0.21007724,0.20901446,0.20734,0.20507473,0.20476091,0.21093662,0.22886324,0.26035133,0.30116454,0.3402779,0.3649504,0.36759973,0.34926334,0.3173392,0.27959186,0.24127091,0.2054783,0.1760134,0.15891652,0.15906002,0.1759892,0.2004237,0.22085617,0.22989921,0.22947311,0.22513203,0.22167826,0.21931674,0.21661133,0.21148865,0.20323233,0.19181412,0.17867489,0.16681208,0.16050662,0.16425602,0.1793411,0.20135035,0.22035807,0.22653435,0.21716394,0.19763355,0.17706281,0.16105229,0.1505043,0.1433266,0.13790868,0.1336397,0.13032104,0.12732232,0.1237069,0.12006412,0.11895428,0.12518203,0.14071976,0.16370852,0.18622701,0.20175529,0.20655817,0.2033029,0.19554286,0.18697213,0.17891073,0.17256792,0.16958828,0.1732509,0.18502568,0.20273726,0.21896787,0.22806291,0.22857563,0.22497888,0.2206989,0.21681361,0.21168812,0.20463115,0.1961781,0.18737918,0.17881775,0.17051624,0.16281277,0.15725173,0.15690784,0.16543543,0.18271148,0.20345671,0.21794723,0.22056754,0.21202986,0.19915426,0.18703015,0.17771603,0.1707042,0.1662664,0.16532838,0.1681574,0.17347217,0.17874028,0.18209477,0.18339525,0.18427368,0.18548101,0.1853509,0.17994702,0.16725975,0.15008299,0.13641144,0.1341692,0.14564675,0.164864,0.1823941,0.19336577,0.20206134,0.21731316,0.24220906,0.26912788,0.28471282,0.28207865,0.26530603,0.24582858,0.23211642,0.22655399,0.22651596,0.22937883,0.23336355,0.23724848,0.23887794,0.23631823,0.23016022,0.22574924,0.2315759,0.25284407,0.2854779,0.316053,0.33130488,0.3270612,0.31043014,0.29206118,0.27897272,0.2722304,0.2695563,0.2676848,0.2631453,0.25363162,0.23903455,0.2226346,0.20927101,0.20415513,0.209624,0.2238381,0.2399214,0.24992354,0.24915831,0.23801975,0.21974148,0.19746049,0.17438944,0.15474099,0.14369333,0.14570202,0.16102265,0.18475117,0.20663846,0.21831866,0.21725397,0.20896858,0.19997543,0.19389242,0.18988402,0.18634905,0.18241858,0.17830716,0.17448889,0.1716746,0.17065604,0.17267461,0.17967205,0.19443609,0.21752922,0.24554808,0.27028883,0.28489742,0.28655168,0.27841535,0.26471388,0.24935241,0.23431247,0.22104478,0.2104885,0.20364077,0.20068137,0.20018269,0.19855697,0.19359215,0.18693034,0.18511128,0.19242752,0.20670359,0.2177242,0.21685846,0.20272535,0.18326451,0.16714288,0.15845211,0.1550848,0.15451539,0.1573294,0.16733408,0.1857915,0.20880683,0.22788183,0.23751968,0.2375173,0.23329394,0.2290095,0.22638504,0.22371797,0.21973859,0.21371818,0.20645969,0.19880871,0.19178383,0.18600132,0.18313877,0.1864314,0.19951333,0.22193925,0.24712686,0.26514205,0.27032748,0.2642111,0.2535075,0.2435752,0.23651113,0.23134328,0.22683986,0.22223549,0.21786146,0.21444894,0.2127945,0.21353622,0.2176146,0.22637248,0.2389596,0.25149414,0.2567339,0.2508877,0.23500389,0.2160929,0.19953503,0.18759166,0.17814344,0.17002797,0.164831,0.16789955,0.18258803,0.20685734,0.23131979,0.24709485,0.2501517,0.24432515,0.23510873,0.22696246,0.22061224,0.21479718,0.20638396,0.19277622,0.17324455,0.15065147,0.12979656,0.11626174,0.11462221,0.12650405,0.14839597,0.1711402,0.1857325,0.18857457,0.18391997,0.1782825,0.17571606,0.17587264,0.17657512,0.1761381,0.17413206,0.17094843,0.16702628,0.16281801,0.15961011,0.1603198,0.16922486,0.18781024,0.21245378,0.23372205,0.24371405,0.23897244,0.22235972,0.19790024,0.17064343,0.14641641,0.13231848,0.13425769,0.15364605,0.18589054,0.22041781,0.24449901,0.24964917,0.23612292,0.2125749,0.19014336,0.1779052,0.18125226,0.20086157,0.23256648,0.26613647,0.2914633,0.30191898,0.29882404,0.28645095,0.27103737,0.25730187,0.25044918,0.25242424,0.26198578,0.27317083,0.2805467,0.28100118,0.27572644,0.26737285,0.25876316,0.25138357,0.2453562,0.23944955,0.23183005,0.2214362,0.20955946,0.20059182,0.20076068,0.21416801,0.23892784,0.26702556,0.28993514,0.30473495,0.31502452,0.32525778,0.33553597,0.34169665,0.34054592,0.332831,0.3224682,0.31219852,0.30220136,0.2908478,0.27789518,0.26514402,0.25546876,0.25057375,0.2503632,0.25343725,0.25784442,0.26152977,0.2624037,0.25848925,0.247567,0.22830997,0.20260914,0.17807652,0.16606928,0.17472374,0.20263654,0.23832913,0.26854408,0.28555965,0.29047954,0.2883871,0.28339306,0.2755859,0.2630614,0.24682885,0.23407643,0.23493682,0.25413817,0.2852036,0.31536004,0.33440053,0.340692,0.3371185,0.3261502,0.30783308,0.28323552,0.25747472,0.23839389,0.23167384,0.23613137,0.24512112,0.25220945,0.25581837,0.25786197,0.2591138,0.2575823,0.25105175,0.24047363,0.22927082,0.22088708,0.21629755,0.21485548,0.2148303,0.21496892,0.21401833,0.21142177,0.2062242,0.19771302,0.18660909,0.17747201,0.17919064,0.19899984,0.2368259,0.28112808,0.31745192,0.3355322,0.33519593,0.32102263,0.2985401,0.27273598,0.24995477,0.23806219,0.2415657,0.25872135,0.28048524,0.29685223,0.30080974,0.29191095,0.2739264,0.25259766,0.23242165,0.21550183,0.20338917,0.19891937,0.20602942,0.22560668,0.25234807,0.2774517,0.29342785,0.29884693,0.29606494,0.28877783,0.27904618,0.26810136,0.25690112,0.24617563,0.2365674,0.22860384,0.22392504,0.22473198,0.23329975,0.250227,0.27360407,0.2989086,0.3206801,0.33532616,0.3426493,0.34526086,0.3452003,0.34258953,0.3354285,0.32315695,0.3067721,0.28941247,0.27338085,0.26082185,0.25267348,0.25005534,0.25340733,0.2636346,0.28017583,0.30055586,0.31888863,0.3303125,0.33356336,0.333299,0.3345169,0.33920777,0.34347656,0.34213677,0.33127818,0.31167892,0.28715035,0.26373562,0.24698623,0.24126476,0.24957757,0.2729141,0.30862868,0.34805632,0.37983438,0.39530027,0.39428294,0.38288555,0.36888564,0.3564262,0.34621012,0.33671412,0.3268192,0.31630483,0.3061107,0.29705366,0.28933057,0.28266516,0.27742288,0.27379107,0.27045754,0.26332685,0.248755,0.2262581,0.200235,0.17629434,0.15841083,0.1472402,0.14170015,0.140516,0.14326082,0.15037592,0.16246092,0.1788311,0.19758503,0.21676661,0.23778395,0.26404968,0.29783836,0.33457813,0.36522734,0.38173404,0.38302073,0.37365043,0.3587948,0.34147656,0.32298365,0.30630183,0.2958304,0.29537275,0.30405328,0.31579792,0.3230611,0.32136056,0.31137303,0.29564568,0.27633464,0.2540957,0.23047031,0.20793037,0.18960977,0.17689754,0.16951112,0.1661842,0.16719522,0.17489386,0.19040698,0.21005201,0.22370605,0.22201878,0.20227896,0.1718754,0.14140737,0.11865913,0.104765005,0.09791734,0.097720705,0.10817344,0.1346953,0.17830203,0.23124385,0.27983305,0.31324932,0.32993877,0.33613062,0.33803543,0.33665368,0.33000877,0.31773338,0.30398086,0.29341772,0.28870556,0.2884437,0.29079595,0.29459542,0.3005986,0.30862272,0.31723753,0.32322338,0.32516333,0.32376197,0.3232046,0.3264635,0.3347182,0.34368882,0.3479856,0.34145674,0.3230487,0.29498684,0.26406625,0.2365459,0.21762283,0.20871334,0.2080722,0.21112394,0.21221185,0.20850493,0.20079583,0.19353808,0.19005288,0.19144845,0.19578795,0.20079042,0.20457084,0.20665193,0.20733768,0.20744306,0.20726289,0.20687027,0.2060924,0.20570685,0.20537943,0.20395087,0.19819337,0.18767793,0.17436212,0.16342305,0.15741827,0.15643345,0.15759598,0.15973322,0.16376267,0.17296039,0.18819903,0.20652282,0.22098726,0.2267733,0.22350635,0.21569838,0.20771159,0.20197786,0.19835097,0.19616216,0.19464648,0.19351222,0.1924356,0.19136375,0.19084615,0.19261752,0.19931884,0.21076451,0.222943,0.22809947,0.22263949,0.20855464,0.19348401,0.18282183,0.17829764,0.1776777,0.17857952,0.17918201,0.17881341,0.17752856,0.17610653,0.17536657,0.17694867,0.1833753,0.19878066,0.22281206,0.24976617,0.2673534,0.269376,0.25777096,0.24491233,0.24097382,0.25043666,0.26885536,0.28922448,0.3061783,0.3186253,0.32695082,0.32963693,0.32249814,0.30370057,0.27692178,0.25234124,0.2394588,0.24275358,0.2573453,0.273398,0.2795577,0.26969606,0.24429698,0.21146767,0.18257801,0.16816421,0.17352004,0.19713306,0.23125005,0.26414257,0.2849418,0.28805247,0.27579835,0.25608528,0.23744893,0.2249945,0.21978526,0.2220544,0.23183036,0.2482739,0.26610386,0.2788668,0.28229094,0.27870014,0.27333698,0.26959655,0.26541162,0.2544593,0.232675,0.20217036,0.17383218,0.15962727,0.16643465,0.18956666,0.21821035,0.2417895,0.25698498,0.26545155,0.26999703,0.27079388,0.26699054,0.25861254,0.24756776,0.23614436,0.2260126,0.21794783,0.21207547,0.20752059,0.20224433,0.19399154,0.18234622,0.17007501,0.16265567,0.16586687,0.18341483,0.21387859,0.25040784,0.2820847,0.300915,0.3051663,0.30041543,0.293335,0.28915897,0.2893157,0.29293755,0.29605487,0.294142,0.2843313,0.26869574,0.25247923,0.24169646,0.23940371,0.24450552,0.2511874,0.25163612,0.24085484,0.2205882,0.19816576,0.18161531,0.17549498,0.17999882,0.19260772,0.20937495,0.22730409,0.24317972,0.25407016,0.25550213,0.24621938,0.22916257,0.21197845,0.20096898,0.19841234,0.20233352,0.2094018,0.2169817,0.22358201,0.22867791,0.23212023,0.23358111,0.23317127,0.23148,0.2305211,0.23089236,0.23186517,0.2303117,0.22540236,0.21824946,0.21229243,0.20901603,0.20896281,0.21257406,0.22261263,0.24147093,0.26818725,0.2960684,0.3160222,0.32129487,0.3116168,0.29305744,0.27464724,0.26347604,0.26078835,0.26245472,0.26353374,0.2629468,0.26401916,0.26993605,0.2803646,0.29139063,0.29980007,0.30501047,0.30815712,0.3089267,0.30499303,0.2939929,0.27559188,0.25227508,0.22945786,0.21448286,0.21390384,0.22799818,0.24984924,0.26819718,0.27462503,0.26600632,0.24521786,0.22005956,0.20244074,0.2035058,0.22554745,0.25869974,0.2860628,0.29575732,0.28593954,0.26368776,0.23725934,0.21372867,0.19670106,0.18822575,0.18880637,0.19891226,0.21741496,0.23992847,0.25900283,0.26804826,0.26579043,0.25734636,0.2493847,0.2449494,0.24045295,0.23130219,0.21726233,0.20492774,0.20136458,0.2077953,0.21850301,0.22652549,0.22980915,0.23246972,0.23901771,0.24988179,0.25921738,0.26226446,0.25848693,0.25343227,0.25164667,0.2537953,0.25607035,0.25436586,0.24722224,0.23633331,0.22493266,0.21565755,0.20893276,0.20397484,0.19911677,0.1940562,0.1882748,0.18219267,0.17543626,0.16887182,0.16323447,0.15976398,0.1585267,0.15908478,0.16050355,0.16224281,0.16414492,0.16627271,0.16857897,0.17093015,0.17355408,0.17687772,0.18069313,0.18316884,0.18190064,0.17585982,0.16725422,0.15984036,0.15684056,0.15842979,0.1629336,0.16797078,0.17293479,0.17856927,0.18609215,0.19401614,0.19864415,0.19574945,0.18532436,0.17067568,0.15666677,0.14534019,0.13713826,0.1317014,0.13019037,0.13372892,0.14289914,0.15550137,0.16755152,0.17539407,0.18045159,0.1909777,0.21631734,0.2590213,0.30872357,0.35045013,0.3736014,0.3800253,0.3776408,0.37401438,0.3713086,0.36880946,0.36557218,0.3610703,0.35435125,0.34396303,0.3297083,0.31418023,0.30179933,0.2966663,0.29924992,0.3063446,0.31184438,0.3114155,0.30438617,0.29489288,0.28767565,0.28577772,0.28854898,0.2938001,0.29877022,0.3015357,0.29991102,0.29206786,0.27674633,0.25586358,0.23389721,0.21671219,0.20758359,0.20652546,0.21050043,0.21632999,0.22171845,0.22624733,0.23012765,0.23392625,0.2378403,0.24212866,0.2468801,0.25135764,0.25402483,0.25294703,0.24799548,0.24081148,0.2344361,0.23081462,0.2305882,0.23313212,0.23789208,0.24431896,0.25201127,0.260029,0.26756433,0.27389014,0.27983418,0.28654027,0.29542923,0.30499098,0.31248054,0.31407276,0.30969846,0.30148396,0.2936443,0.28792965,0.28460306,0.28240648,0.28117767,0.2809222,0.2811217,0.27922416,0.27205893,0.2578911,0.23877597,0.21994764,0.20838837,0.2088812,0.22182329,0.24152212,0.2602396,0.27196634,0.27579197,0.2736977,0.26859048,0.2632891,0.26111463,0.26522383,0.27478576,0.28457868,0.28667244,0.27826548,0.2624127,0.24672161,0.23585927,0.23082052,0.22914399,0.22835054,0.22679172,0.22499132,0.22563566,0.2317366,0.24358575,0.25758803,0.2689515,0.2752744,0.27680406,0.27417997,0.26624802,0.25266927,0.23647775,0.22485556,0.22420979,0.23545788,0.2523249,0.26825204,0.2835866,0.3110299,0.36096764,0.42985377,0.48982525,0.5136585,0.49169454,0.4441942,0.39818,0.3723729,0.36749926,0.3749765,0.38298368,0.38217697,0.36902896,0.3463767,0.32173443,0.30445877,0.30503705,0.33244026,0.38304722,0.43719396,0.4635112,0.44602737,0.39209267,0.33020246,0.28277892,0.25811502,0.24979307,0.24965358,0.25200966,0.25485048,0.25749427,0.2593138,0.25965738,0.25882927,0.2588251,0.2619101,0.26789007,0.27306616,0.2724986,0.26425463,0.25130448,0.23975587,0.23411067,0.23472941,0.24054027,0.25426987,0.28432783,0.3345081,0.3941767,0.43677485,0.43988323,0.40196165,0.34489962,0.29488456,0.26591793,0.25691262,0.25919673,0.26467907,0.26697257,0.26360676,0.25486836,0.24490304,0.23951592,0.24598165,0.2715862,0.31494144,0.3636329,0.39366952,0.39126447,0.35839018,0.31562647,0.28028545,0.26099744,0.25437927,0.25511685,0.2582096,0.26148108,0.2644044,0.26767874,0.27192476,0.2769651,0.28289858,0.28920248,0.2952967,0.29821563,0.29626992,0.28875253,0.27922055,0.27089813,0.26656884,0.26555064,0.26765963,0.27517483,0.2947446,0.33102748,0.37844563,0.41822183,0.43003392,0.40723917,0.3627639,0.3175515,0.2868528,0.2738566,0.27382064,0.27898094,0.2828829,0.28208265,0.2778067,0.27285287,0.27251375,0.28156307,0.3067529,0.34431994,0.38109484,0.3933281,0.3718262,0.32414857,0.2752057,0.24182214,0.22898056,0.2283581,0.23218794,0.2356147,0.23869471,0.24203879,0.24640574,0.25112313,0.25603724,0.26078132,0.2651018,0.2671133,0.26489794,0.25856647,0.25128862,0.24745847,0.24868186,0.2535558,0.2585667,0.26295403,0.27065027,0.29100668,0.3311055,0.38498726,0.43066394,0.4418203,0.41014755,0.35064912,0.29151374,0.2516302,0.236067,0.23930007,0.25651515,0.28296667,0.31380618,0.33978525,0.3524755,0.34878317,0.33698428,0.33262393,0.3466859,0.37610817,0.40318212,0.41220403,0.39997447,0.37897408,0.3628179,0.35804737,0.361801,0.36869,0.37467277,0.37768602,0.37729764,0.3742421,0.37121388,0.37054646,0.3729941,0.37520108,0.37233242,0.36003995,0.33864018,0.3124672,0.28922606,0.27623343,0.27770022,0.2917647,0.31191564,0.33261552,0.35513604,0.3864473,0.42799452,0.46787825,0.4841871,0.46468654,0.4172003,0.36657122,0.33350015,0.32440254,0.3303034,0.33929488,0.34245077,0.33807793,0.32853913,0.31781396,0.3093425,0.30696276,0.3164897,0.34032086,0.37090933,0.38953772,0.3796483,0.3413192,0.2923387,0.2541804,0.23660612,0.23597105,0.24308337,0.25178328,0.26070037,0.27030778,0.27973083,0.28611827,0.28718948,0.28428772,0.28220794,0.28466442,0.29022074,0.29238167,0.28644562,0.2735819,0.2605971,0.2530203,0.25138155,0.25210527,0.25443992,0.26399776,0.29187655,0.33943072,0.39335367,0.42502117,0.41822544,0.37660804,0.32638586,0.28940907,0.2762659,0.28265357,0.3015602,0.32481143,0.34523037,0.35540196,0.3514038,0.33523813,0.3172339,0.3123996,0.33134806,0.36999413,0.40924582,0.42821527,0.42011258,0.3949591,0.36870706,0.3501333,0.33902884,0.33149403,0.32571018,0.32235393,0.32196447,0.3232131,0.3219703,0.31530103,0.3040632,0.29593548,0.29852235,0.31409663,0.33488318,0.35124943,0.3575704,0.35626158,0.3517984,0.3474768,0.34370378,0.3420917,0.34639123,0.36327258,0.39306775,0.42707923,0.4456501,0.4362922,0.4003383,0.3561852,0.3212122,0.30447134,0.30262783,0.3078312,0.31186318,0.3105164,0.30456424,0.29791462,0.2948847,0.2984333,0.31231296,0.33927146,0.37529626,0.40579137,0.41230595,0.38826165,0.34468973,0.30218703,0.27454913,0.2627953,0.26071945,0.26229987,0.26542282,0.2692159,0.27305925,0.27584708,0.2772249,0.27858767,0.2815967,0.2864753,0.29001153,0.28816268,0.27971548,0.267878,0.25780964,0.25244614,0.2513053,0.25219965,0.25575504,0.26776147,0.29812384,0.34813538,0.4039921,0.4363934,0.4261606,0.37553242,0.31124863,0.25865173,0.23104274,0.22476877,0.23121189,0.24183035,0.25221527,0.26066867,0.2666832,0.2697644,0.27211964,0.28067407,0.30530044,0.34670386,0.3926797,0.42093968,0.4207733,0.3975571,0.37073454,0.35282984,0.34618723,0.34459403,0.34481382,0.34783983,0.35626236,0.36938143,0.38276592,0.39157283,0.3937461,0.39039814,0.38341936,0.37392843,0.36233905,0.34931716,0.33603206,0.32442006,0.3178716,0.31987846,0.33145508,0.34766743,0.3606942,0.36482516,0.3624635,0.3608409,0.36650324,0.37914607,0.39386237,0.4054239,0.41219726,0.41533014,0.41637954,0.4162942,0.4151815,0.41337165,0.41095892,0.40810832,0.40401235,0.39676404,0.38370824,0.36348048,0.3380176,0.31219292,0.29182577,0.28114656,0.28231665,0.29443613,0.31314984,0.33075455,0.34034178,0.33959094,0.33250353,0.32545885,0.3230512,0.32507458,0.32816413,0.3285819,0.32518438,0.3196682,0.31441104,0.31044683,0.30630663,0.30051854,0.2924869,0.2837454,0.2752879,0.26690373,0.2558429,0.23877196,0.2145862,0.18766636,0.1682989,0.166167,0.18386821,0.21265952,0.23996575,0.25626937,0.26108456,0.25830412,0.252056,0.24281679,0.22952376,0.21268098,0.19583726,0.18390846,0.17847578,0.17760815,0.17794645,0.18066148,0.18934196,0.20670082,0.22822547,0.24642216,0.2547607,0.2528465,0.24250661,0.22533178,0.20139472,0.17244203,0.14299329,0.118229814,0.10061286,0.08893448,0.081114806,0.07801554,0.084572524,0.10690448,0.14627853,0.19596928,0.24315542,0.27676603,0.29259598,0.29392818,0.28627804,0.2742128,0.26052645,0.24819244,0.24055386,0.23914248,0.24153228,0.24156128,0.23474324,0.2223595,0.2126841,0.21388917,0.22821875,0.24804866,0.26176134,0.25998667,0.24211347,0.2147646,0.18775927,0.1680954,0.15830253,0.15772682,0.16596325,0.18288429,0.2072344,0.23403327,0.25718066,0.27227104,0.27955866,0.28154162,0.2801349,0.27466786,0.26411006,0.2504948,0.24054377,0.24197578,0.25812516,0.2844011,0.31183293,0.332366,0.3435624,0.3473834,0.34751666,0.34595278,0.34242618,0.33496714,0.3220714,0.3042581,0.2845999,0.26757422,0.25739226,0.25703982,0.26650748,0.28242075,0.29787567,0.30715844,0.30832064,0.3048555,0.3012404,0.30011818,0.30059683,0.30080435,0.30065897,0.30236852,0.3085879,0.31916222,0.33214247,0.34521112,0.35793352,0.3693991,0.37776455,0.38050377,0.3775171,0.37146047,0.366168,0.36377582,0.36381868,0.36434665,0.36382195,0.36183873,0.3584732,0.35293296,0.34344983,0.32788226,0.30641654,0.2824355,0.2631584,0.25413585,0.256022,0.26168874,0.26294836,0.25497475,0.23923527,0.21837485,0.19403702,0.16762108,0.14465027,0.13414864,0.14375488,0.17260481,0.21130188,0.24670224,0.27121356,0.28427938,0.2913561,0.296468,0.30201158,0.30724582,0.31267175,0.3184899,0.32509556,0.33003524,0.32952973,0.32058933,0.30406964,0.2843051,0.26627114,0.25297937,0.24487142,0.24075834,0.2384981,0.2355717,0.22993593,0.22139221,0.21142858,0.20240901,0.19639339,0.19587912,0.20437972,0.22512154,0.25775716,0.2961078,0.33063236,0.3539803,0.36423948,0.36417207,0.35627344,0.34161338,0.31964126,0.29219458,0.26407814,0.24200441,0.230303,0.22767472,0.22893621,0.22802532,0.22219692,0.21173759,0.19913279,0.18645084,0.17473716,0.16590546,0.16482426,0.177074,0.20327167,0.23576443,0.26386675,0.2805698,0.28635976,0.28582737,0.2846913,0.28701404,0.29396138,0.30208948,0.30507556,0.29791412,0.28049466,0.2565743,0.22979297,0.20150311,0.17142601,0.14037767,0.110815346,0.087216884,0.07467025,0.07879234,0.10207825,0.14117832,0.1846761,0.21858919,0.23396301,0.23187482,0.22020052,0.20589565,0.19228333,0.18203925,0.18267745,0.20260786,0.24272682,0.28988472,0.32521906,0.3367401,0.32857403,0.3135098,0.30259904,0.29615024,0.2883099,0.2730466,0.25042418,0.2249031,0.20261271,0.18798117,0.18252696,0.18495037,0.19189398,0.19982481,0.20597857,0.20914507,0.20948426,0.2082832,0.20702197,0.20633675,0.20587711,0.20491661,0.20323168,0.20089924,0.1981463,0.19503039,0.19173855,0.1881863,0.18407492,0.17902629,0.17322738,0.16746129,0.16255368,0.1590013,0.15757714,0.16062687,0.17228824,0.19541852,0.22809182,0.262404,0.2899355,0.30720434,0.3178065,0.32692638,0.33619598,0.34208497,0.3402053,0.3296325,0.31410664,0.29953727,0.29062998,0.28947064,0.2957436,0.3074894,0.32152483,0.33400676,0.3419517,0.3443377,0.3422766,0.33804193,0.33396494,0.33187398,0.33136496,0.329298,0.32021216,0.30219743,0.28023222,0.26556215,0.26604617,0.28001198,0.29741225,0.30894884,0.3124964,0.3119104,0.31224775,0.31538165,0.32046458,0.3243055,0.32268247,0.30968943,0.2809659,0.23710804,0.1872688,0.1447494,0.119894,0.11357186,0.11897675,0.1275116,0.13490677,0.14287098,0.1574684,0.18349768,0.22170345,0.26801392,0.32061982,0.37769303,0.43339893,0.47067332,0.47357658,0.44101858,0.39204755,0.35067058,0.32991096,0.32875335,0.34056425,0.36178908,0.3931539,0.431945,0.46723863,0.47953403,0.4581597,0.40895125,0.35528246,0.31606844,0.29721594,0.2897893,0.28811172,0.29487327,0.32200488,0.3689815,0.41893318,0.4404246,0.4205097,0.37073335,0.32239366,0.294688,0.28938258,0.29756248,0.31602573,0.34742808,0.3924679,0.4417206,0.4791254,0.49009886,0.47395083,0.44195095,0.41076967,0.38908207,0.37667897,0.36912534,0.36594144,0.37306595,0.39641383,0.43307093,0.4665562,0.4772254,0.45756164,0.4195223,0.38472965,0.36850405,0.37183428,0.38680896,0.40591255,0.42830837,0.45276275,0.4727939,0.47390088,0.44992602,0.40942565,0.37554482,0.36257684,0.3678793,0.37214482,0.36439666,0.34934655,0.34790325,0.36956558,0.40410602,0.4218519,0.40551683,0.36168563,0.3192049,0.2994254,0.3040482,0.31644967,0.32395887,0.32754496,0.34184358,0.374334,0.41710547,0.44607067,0.44595632,0.4185451,0.38388172,0.35827038,0.34740105,0.34492633,0.34573296,0.3514489,0.37069926,0.40631077,0.4492253,0.4801036,0.48789442,0.47486314,0.45429412,0.434167,0.4164226,0.40045166,0.3907452,0.39524278,0.41735744,0.45022988,0.47642198,0.48073614,0.46103534,0.43111643,0.40812978,0.40055847,0.40438762,0.41246697,0.42186785,0.43755016,0.46175078,0.48848304,0.5008088,0.4863851,0.4466926,0.3995209,0.36320806,0.34485424,0.3369613,0.33022875,0.32457724,0.33205378,0.3601922,0.40074682,0.4289175,0.42661905,0.39432523,0.3509295,0.3147884,0.29544413,0.29251835,0.30428913,0.32979417,0.37091413,0.42109156,0.46560547,0.48019412,0.45650995,0.40504304,0.3566709,0.33362153,0.34286115,0.37204814,0.407529,0.44039747,0.47022912,0.4941673,0.5046471,0.49206838,0.45963252,0.42299974,0.40195313,0.40300366,0.41938516,0.4391472,0.45764098,0.47836366,0.5050111,0.5324984,0.5468517,0.53669995,0.5042977,0.46478543,0.43438503,0.41948715,0.416608,0.4200141,0.42781523,0.44363979,0.46793833,0.49423584,0.507153,0.49807358,0.47138727,0.44397733,0.4281384,0.42383525,0.42282298,0.42089698,0.4234384,0.44006407,0.4720072,0.5084025,0.53007823,0.5272382,0.5034828,0.4741921,0.45121095,0.43961242,0.4374962,0.4428759,0.4543524,0.47175577,0.49000058,0.5003963,0.4926728,0.46865502,0.44068214,0.42484733,0.4243385,0.42967522,0.42958474,0.42382142,0.42459646,0.44275168,0.47562775,0.50509214,0.51205367,0.4918665,0.45559466,0.41970158,0.3930577,0.37718987,0.3711824,0.37706006,0.3982606,0.43306792,0.47098467,0.4939426,0.48937306,0.45900407,0.4197254,0.3900368,0.37900195,0.38283122,0.3934563,0.40599826,0.42340413,0.4463137,0.46850026,0.4732611,0.45255503,0.41281995,0.37713078,0.3627983,0.3741682,0.40001532,0.4298524,0.45839968,0.4882451,0.5172501,0.5386069,0.54106164,0.5241077,0.49583527,0.46977755,0.45013666,0.43404284,0.41566387,0.39716983,0.38689443,0.39481714,0.41851225,0.44401887,0.4506253,0.43275905,0.399745,0.37125477,0.35615215,0.35264242,0.3535097,0.35855278,0.37438533,0.40455317,0.43993285,0.45981228,0.44854555,0.4101014,0.3663123,0.339288,0.33578017,0.3474362,0.3635553,0.38126114,0.40716422,0.44432393,0.48436192,0.50597215,0.49456885,0.45376536,0.40583,0.37188694,0.359445,0.36221373,0.3716798,0.3853953,0.40679565,0.4347187,0.45775196,0.45639077,0.4240382,0.37428942,0.33545995,0.3229264,0.33015382,0.33649418,0.3321167,0.32616833,0.33876637,0.37510797,0.41847464,0.43740436,0.41772828,0.36957252,0.32147703,0.29220197,0.2839496,0.28773794,0.29826772,0.31939724,0.3554672,0.40081227,0.43570542,0.44021943,0.41123286,0.36592326,0.32786453,0.30884695,0.30548337,0.3096117,0.32006833,0.34551945,0.3909414,0.44658017,0.48518762,0.4836574,0.44005373,0.37781063,0.3247843,0.29574856,0.28784123,0.29292527,0.30848396,0.3394208,0.38571957,0.435261,0.46505305,0.46223152,0.4325372,0.3986888,0.3786129,0.37702915,0.38525796,0.39583802,0.40747118,0.4271222,0.4536996,0.4770273,0.47637722,0.44741318,0.4012179,0.3629953,0.34410417,0.34297097,0.34805676,0.35550568,0.36900222,0.39586246,0.43275473,0.46523967,0.4734467,0.45254382,0.4135263,0.37739626,0.35462734,0.34468484,0.33953762,0.33515048,0.33135322,0.32998422,0.33038464,0.32952082,0.32384476,0.31236812,0.29718181,0.28163862,0.2682676,0.25766268,0.2500309,0.24529415,0.24464464,0.24838221,0.25633708,0.2657672,0.2741773,0.27928594,0.28056288,0.276921,0.26751262,0.25252685,0.23519266,0.22054954,0.21347494,0.21591848,0.22652863,0.24070674,0.25342414,0.26102924,0.26325664,0.26188162,0.2598964,0.2597803,0.26283705,0.2672374,0.26821938,0.26027635,0.24198739,0.21709734,0.19244425,0.17245178,0.1585791,0.1504252,0.1490906,0.15521598,0.16807127,0.18473363,0.2034143,0.22350205,0.24444842,0.26335034,0.2767456,0.2837712,0.28741702,0.29240853,0.3008289,0.31159616,0.32125115,0.32753193,0.32943514,0.32773754,0.32353306,0.31845933,0.31382957,0.31058356,0.30881897,0.30814144,0.30808783,0.30856144,0.3099806,0.31265655,0.3164312,0.3203317,0.32319355,0.32397315,0.32212958,0.31744334,0.30961856,0.29766563,0.28044772,0.25894055,0.23866133,0.22776222,0.23056556,0.24135022,0.24616535,0.23352785,0.20458703,0.17466347,0.16111843,0.1714902,0.19756204,0.22481419,0.24195735,0.24764627,0.24536276,0.238492,0.22677894,0.20977981,0.18973674,0.17312224,0.16700529,0.17503159,0.19479322,0.21955542,0.24214856,0.25761473,0.2641631,0.26183352,0.25227582,0.23743458,0.21906783,0.1980756,0.1756792,0.15441503,0.1379338,0.12944509,0.13071893,0.14146836,0.15930419,0.17895524,0.1939748,0.19901884,0.1930757,0.17915569,0.16259505,0.14804818,0.13855505,0.13532703,0.13808767,0.14427441,0.14995612,0.15170658,0.15025394,0.14936261,0.15396233,0.1651947,0.18131268,0.19740492,0.20960546,0.2154467,0.21610951,0.21367627,0.20960797,0.2027278,0.19141193,0.17565803,0.15820386,0.14273278,0.13178681,0.1257013,0.12311163,0.12220319,0.12155417,0.12045648,0.11864686,0.116092265,0.112938166,0.1094966,0.1062546,0.103657156,0.10205098,0.101532705,0.10204252,0.103318244,0.10498833,0.106654756,0.10820835,0.11079574,0.11734434,0.13270962,0.16016115,0.19855551,0.23995177,0.2746236,0.29549387,0.30223548,0.29788318,0.28605962,0.26865092,0.24804507,0.22885959,0.21820094,0.22227623,0.24203205,0.27172196,0.30420542,0.33827245,0.38153377,0.4384391,0.5004949,0.543747,0.55046946,0.52140254,0.47762653,0.4394755,0.41609132,0.40449986,0.40130863,0.40741932,0.42665634,0.45456672,0.47684726,0.47489634,0.44725516,0.41190508,0.39615595,0.40916514,0.43891713,0.46351096,0.47549358,0.48379707,0.5035115,0.53450346,0.56079715,0.5611436,0.5312629,0.48487923,0.44412133,0.4206442,0.41370276,0.4164305,0.4263178,0.44567132,0.47482172,0.50457543,0.51875454,0.5057355,0.470186,0.4296689,0.40199015,0.3919816,0.39289543,0.39657226,0.40276277,0.41985503,0.45188,0.49116477,0.5164938,0.5128236,0.48107937,0.44154057,0.41464233,0.40997934,0.4209095,0.43692032,0.45133114,0.46688434,0.48468217,0.50116765,0.50484174,0.4924241,0.46918857,0.44969854,0.44059148,0.44078162,0.4417406,0.4404707,0.43997344,0.44888997,0.46840003,0.49019757,0.49721992,0.48162708,0.44840157,0.41397968,0.38896164,0.37449574,0.36501947,0.35975218,0.36531863,0.3884356,0.42405248,0.45252302,0.45302916,0.42150798,0.37472138,0.33669925,0.32123727,0.3275281,0.34811568,0.3780503,0.41757718,0.4643606,0.5089918,0.5349347,0.5328842,0.50763386,0.4767178,0.45503828,0.44715118,0.44827703,0.45341003,0.4614192,0.47499356,0.49284348,0.50787884,0.50659055,0.48358873,0.44557104,0.4122822,0.39733744,0.40138534,0.4113808,0.41866502,0.42528594,0.44305253,0.4741176,0.5065787,0.51773614,0.49845394,0.45800865,0.4203852,0.40166616,0.4036448,0.41602316,0.43032622,0.44587174,0.46771094,0.49546814,0.51910144,0.52330613,0.5028797,0.46600974,0.42847332,0.3997887,0.3801229,0.36622104,0.35828206,0.36318782,0.38497832,0.4174902,0.44097552,0.43758392,0.40612867,0.36431226,0.33297852,0.31983063,0.31940195,0.32399604,0.33423665,0.35713434,0.39359477,0.43026137,0.44385314,0.42268714,0.3781698,0.3381875,0.32263243,0.33095658,0.34846136,0.3648542,0.38287672,0.41381606,0.46009243,0.50907916,0.5366036,0.52960855,0.49283436,0.4464492,0.40619013,0.3782905,0.36073366,0.3536823,0.36041197,0.3852552,0.42174384,0.45371172,0.4595236,0.43500963,0.39395157,0.36272025,0.35522577,0.36937416,0.39107206,0.4087101,0.4180827,0.4204229,0.41877457,0.41411316,0.4068642,0.3964223,0.3839865,0.37161756,0.36186007,0.3551693,0.34899476,0.34052214,0.32913196,0.31807914,0.31049216,0.30665064,0.30332568,0.29763147,0.29011413,0.28455946,0.2844753,0.28978077,0.29646957,0.29949972,0.29579684,0.28554633,0.27089795,0.25465095,0.23933995,0.22717653,0.2194137,0.21593368,0.21518213,0.21524954,0.21492176,0.21434484,0.21450114,0.21605183,0.21862383,0.22076923,0.22126466,0.21960683,0.21646792,0.21270765,0.20911147,0.20588793,0.20289344,0.19960153,0.19525518,0.18930364,0.18168724,0.17315699,0.16452433,0.15637654,0.14849998,0.14070313,0.13295925,0.12583011,0.119598396,0.11413016,0.10876059,0.10310981,0.09725986,0.09175146,0.086958915,0.082857765,0.07892915,0.07471759,0.07029391,0.066448666,0.06405919,0.06337389,0.06385729,0.06461772,0.065092824,0.06521866,0.06555221,0.06685624,0.06971862,0.0740071,0.07899029,0.083763,0.087884635,0.091508865,0.09506428,0.09873257,0.102155626,0.10492551,0.106764026,0.1077976,0.10790742,0.10707244,0.10646143,0.11201126,0.13580652,0.1913944,0.27902377,0.37723172,0.44937053,0.47099805,0.44500554,0.39893183,0.35950205,0.33998084,0.33822915,0.34988654,0.37323126,0.40888038,0.4489788,0.47632146,0.47302938,0.44009724,0.39900187,0.37687352,0.38338336,0.40685642,0.428503,0.43992653,0.44783512,0.46168432,0.48002085,0.48806265,0.47189665,0.43421826,0.39362392,0.3696333,0.36720613,0.3786482,0.39475465,0.41381943,0.43969893,0.4720436,0.50202817,0.5143297,0.50146335,0.46986458,0.43837997,0.42184046,0.42251226,0.43064034,0.43712437,0.44180012,0.4533949,0.4774339,0.5065527,0.5206495,0.50464207,0.4615841,0.41260457,0.37776232,0.36332655,0.3618408,0.3654879,0.37439203,0.3952348,0.42855003,0.46269605,0.47731027,0.46310797,0.42915162,0.39831758,0.3850616,0.38777366,0.39348793,0.39557835,0.39944264,0.41640863,0.446781,0.47564372,0.48154616,0.45765612,0.41582873,0.37814727,0.35728133,0.35324597,0.3587238,0.37051204,0.3907199,0.42026266,0.4508203,0.46529254,0.4510175,0.4120758,0.36892948,0.3425438,0.34055206,0.3563086,0.38073838,0.41016066,0.44757882,0.4905289,0.52807605,0.5402391,0.51789236,0.46830902,0.41631246,0.3822217,0.373001,0.37948927,0.39160475,0.40585157,0.42746592,0.4563546,0.4812198,0.4814739,0.45029214,0.4021124,0.36705717,0.36246905,0.38347554,0.4081105,0.4222642,0.42764756,0.4380965,0.4571902,0.47458872,0.4713602,0.4440339,0.40473095,0.37488905,0.36386248,0.3700671,0.38419887,0.40257764,0.42551637,0.45542502,0.4866481,0.5070873,0.5038382,0.4765731,0.43727836,0.40251815,0.38074085,0.37121865,0.37017736,0.37793937,0.39959964,0.4361142,0.47655836,0.49817482,0.48305103,0.43334746,0.3722467,0.3258178,0.3060807,0.30830035,0.32298908,0.3457537,0.37979075,0.4237883,0.46660736,0.48681858,0.4734484,0.43379784,0.39255056,0.36799264,0.36243308,0.3635024,0.36344576,0.36612055,0.38488007,0.4218054,0.46296695,0.481747,0.467082,0.42846942,0.39205697,0.37351564,0.37262535,0.37675428,0.3788408,0.38230303,0.3978015,0.4262834,0.45453754,0.45967063,0.43405402,0.39024106,0.35577425,0.34718105,0.3638433,0.39143148,0.4190513,0.44532928,0.47525573,0.5077265,0.5312497,0.5305727,0.50262684,0.45983124,0.42264727,0.4035423,0.4033109,0.41535878,0.43518242,0.46331823,0.49798536,0.5287927,0.5364432,0.51146966,0.4640535,0.42249975,0.4076805,0.42098245,0.4443365,0.46252677,0.4721756,0.4837257,0.50224185,0.5214909,0.5233736,0.4995509,0.4577401,0.42005166,0.4018495,0.40523854,0.42009696,0.43809953,0.45700708,0.47977623,0.5048733,0.5235553,0.5239395,0.50254357,0.46768022,0.43347457,0.40908766,0.39524385,0.38838753,0.38781896,0.3974549,0.42213818,0.4565926,0.48473224,0.48636213,0.45737016,0.4113036,0.3716376,0.35129014,0.34973684,0.35878065,0.3742477,0.39852318,0.43230793,0.46745196,0.48622513,0.4772167,0.44552848,0.41274607,0.39721957,0.40200436,0.4135848,0.4200257,0.42076877,0.42901218,0.45173788,0.48062763,0.49098256,0.46803728,0.4182193,0.36793718,0.3374102,0.3302759,0.3356634,0.34583566,0.36144936,0.38893065,0.42633772,0.46115232,0.4742984,0.4590362,0.42407742,0.39010784,0.37033653,0.3671886,0.3721795,0.37956515,0.38845035,0.4059447,0.43433556,0.46763408,0.48879603,0.48701036,0.46447095,0.43630514,0.41543663,0.40510413,0.40250507,0.40573847,0.41897383,0.44411096,0.47449946,0.4923741,0.48336175,0.45074514,0.41664076,0.4032825,0.4152291,0.4374055,0.45357826,0.45964518,0.4665912,0.4824635,0.5018698,0.5054932,0.48017335,0.4319072,0.38260064,0.3514451,0.34171566,0.3442379,0.3500701,0.3590903,0.3785067,0.4103301,0.44483173,0.46127722,0.44728008,0.40780246,0.3649678,0.33686367,0.32914734,0.33347216,0.3443153,0.3623178,0.3957549,0.44159546,0.48292708,0.49175432,0.45701322,0.39307332,0.33341148,0.30241078,0.30320585,0.32251367,0.34802708,0.37729952,0.4140277,0.45503673,0.48600063,0.48902404,0.46168366,0.41987813,0.3866061,0.37204704,0.37063146,0.37221718,0.3747995,0.38676906,0.4149972,0.4536414,0.48315465,0.48491895,0.45795798,0.4189037,0.38854933,0.37537873,0.3759749,0.38336572,0.3964207,0.41922376,0.4524745,0.48627964,0.5015397,0.48519948,0.44199967,0.3931134,0.3589377,0.3463694,0.34807524,0.35550907,0.36699113,0.39061072,0.43011656,0.47765303,0.51068753,0.5123435,0.48286203,0.44177493,0.40926328,0.3947824,0.39552712,0.4062779,0.42528558,0.454218,0.4889668,0.5167842,0.52022237,0.49506405,0.4551305,0.42493674,0.41854262,0.4323906,0.45250627,0.4697269,0.4859191,0.50733787,0.53285336,0.5509901,0.5489451,0.5262645,0.49501482,0.46962306,0.4555528,0.45056736,0.45184186,0.45979187,0.47681937,0.50176567,0.5286193,0.5462001,0.54629046,0.5290642,0.5050065,0.48639235,0.47906494,0.4805781,0.4853923,0.4921933,0.50437355,0.5236142,0.54293656,0.5478441,0.5302809,0.4962473,0.4636333,0.44493368,0.440887,0.4424766,0.44414964,0.44773713,0.4611411,0.4853417,0.51093787,0.519625,0.5040454,0.47226897,0.44488955,0.43280828,0.43333432,0.43499243,0.43441448,0.43803358,0.45538652,0.4842473,0.5100396,0.51424503,0.49273968,0.45687327,0.42510232,0.40657282,0.39982358,0.39923418,0.4033744,0.4158169,0.43865392,0.46681944,0.48713338,0.4873533,0.46635,0.43627164,0.41363248,0.40656373,0.41141847,0.41873777,0.424759,0.43548036,0.45983937,0.49708453,0.53224736,0.5471666,0.53576785,0.50837773,0.4810257,0.4629116,0.45345643,0.44914928,0.45035133,0.46274683,0.48786524,0.5165145,0.52879083,0.5126426,0.47466004,0.43871045,0.42390263,0.43277037,0.45235717,0.47100922,0.48649225,0.50529355,0.52890974,0.5490516,0.55022335,0.526324,0.48528326,0.44536027,0.4193511,0.41026273,0.4134296,0.42566848,0.44627163,0.4751297,0.505163,0.52478474,0.5224891,0.49986312,0.46925208,0.44772533,0.4424583,0.45021746,0.46205375,0.473399,0.48674998,0.5059605,0.5272516,0.5367822,0.52148,0.48225877,0.43517658,0.39898863,0.38164997,0.37983832,0.38711783,0.40155038,0.4251437,0.45572773,0.48269844,0.48954844,0.46948576,0.43167257,0.3977851,0.38209638,0.38451096,0.39257455,0.3988665,0.40496123,0.42060503,0.44631615,0.4713585,0.4764628,0.45531496,0.41774347,0.38412333,0.36583152,0.36151874,0.36324057,0.368385,0.38176343,0.4094471,0.44708744,0.47850224,0.48354927,0.45763168,0.41502705,0.38104728,0.37059727,0.38252637,0.40400982,0.4249309,0.44391432,0.46549428,0.48994055,0.508971,0.5111603,0.49475324,0.46918103,0.44885993,0.4400791,0.44188344,0.44942686,0.46240148,0.482828,0.51044124,0.53537065,0.5411282,0.51753134,0.47239062,0.4286263,0.40544423,0.4052612,0.41503608,0.42346957,0.4298676,0.44392243,0.46968353,0.4995067,0.51490194,0.5051964,0.4751335,0.44341126,0.42535302,0.42402568,0.43082628,0.43749854,0.44376013,0.4576447,0.4820753,0.50808597,0.5154899,0.49409994,0.45141268,0.4103258,0.38704225,0.3838075,0.39131817,0.4032083,0.4202414,0.44742727,0.48201045,0.51134545,0.518336,0.4987937,0.4643635,0.4352335,0.4221731,0.42283177,0.42812255,0.43407157,0.44423333,0.4638916,0.48965216,0.508954,0.50856906,0.48919594,0.46510443,0.45180604,0.45171413,0.45433834,0.45094594,0.4433584,0.44433567,0.46007872,0.48395523,0.49590948,0.48337856,0.4494243,0.41260067,0.3884206,0.38136148,0.38553044,0.39561793,0.41145077,0.43723282,0.47187543,0.50540924,0.5205409,0.5080679,0.473204,0.433548,0.40360543,0.3879271,0.3823955,0.3839008,0.39419004,0.4184998,0.45467505,0.49044418,0.5063797,0.49427745,0.46195602,0.42983678,0.41205022,0.41090152,0.41866824,0.43002662,0.44539964,0.46951416,0.49977192,0.524988,0.5299628,0.51297635,0.48690966,0.47056612,0.47021392,0.47763774,0.48121428,0.47836757,0.47755215,0.485979,0.50007254,0.5051154,0.48842487,0.4519316,0.41089725,0.3819096,0.37014267,0.37018827,0.37569472,0.38631257,0.4079456,0.43971145,0.47024813,0.47830498,0.4540365,0.4061053,0.35981944,0.33519092,0.33664083,0.35376897,0.37576258,0.39995828,0.43238154,0.4731028,0.5096886,0.518125,0.48791018,0.4297577,0.37368676,0.3410302,0.33667612,0.34856924,0.36657175,0.38671145,0.4127777,0.441872,0.4634111,0.46150938,0.43534806,0.39990816,0.37899587,0.38123727,0.39809522,0.4117011,0.416146,0.42008755,0.43913856,0.47454944,0.51050407,0.5232124,0.505457,0.46945298,0.43745086,0.42057982,0.41670963,0.41794646,0.42240474,0.43488196,0.45783958,0.4835551,0.49405506,0.47664368,0.43609473,0.39590332,0.3787497,0.39004412,0.4136373,0.430137,0.4327102,0.43481183,0.4510509,0.48267972,0.5083354,0.50707644,0.47344565,0.42561114,0.38452294,0.36162424,0.35364184,0.35582137,0.36774874,0.39448336,0.43295813,0.46812284,0.4764154,0.44897592,0.39993,0.3598938,0.3487532,0.36383137,0.38634673,0.40293667,0.4161189,0.43794334,0.4706533,0.49937725,0.50097936,0.4689485,0.41920042,0.37962472,0.36445212,0.36905456,0.3790646,0.3884755,0.4035581,0.43310842,0.47322655,0.50423855,0.503658,0.46656606,0.40963194,0.3594167,0.33149174,0.32535052,0.33128121,0.34421936,0.36820337,0.40774703,0.45603752,0.49114284,0.49211773,0.45614317,0.40314046,0.35898295,0.33771518,0.336529,0.3459582,0.36079046,0.38353813,0.41418692,0.44303453,0.45000434,0.42490742,0.3783197,0.34058213,0.33429757,0.3598385,0.39480543,0.41995063,0.43173066,0.4445771,0.4669193,0.49190626,0.49749637,0.4721794,0.4240674,0.37730253,0.3492469,0.3417244,0.34557518,0.35475656,0.37200877,0.40358648,0.4473578,0.48884746,0.5076205,0.49479786,0.45857975,0.41923168,0.3915769,0.37880743,0.37544677,0.37846866,0.39164558,0.41988495,0.45733857,0.4846344,0.48104727,0.44507405,0.39708444,0.36497852,0.3608626,0.37817523,0.40213406,0.4259576,0.4525559,0.48398507,0.51185745,0.51897913,0.49777663,0.45916328,0.42816043,0.42020234,0.4322715,0.44660172,0.452616,0.45344388,0.4642789,0.49060845,0.52261287,0.5363756,0.51931703,0.47758734,0.43458208,0.4069985,0.3974775,0.3957725,0.39550337,0.39869228,0.41405523,0.44253933,0.47344348,0.48801538,0.47704396,0.44723487,0.41626224,0.3971686,0.3908426,0.39165863,0.39625606,0.40960658,0.4373813,0.47719464,0.5138349,0.52900046,0.5172902,0.49022326,0.4677278,0.4597789,0.4639703,0.47136655,0.4798019,0.49414644,0.51790494,0.54209703,0.5469477,0.51885563,0.4659226,0.41602984,0.39327517,0.40031135,0.4176445,0.42775416,0.42838004,0.43610728,0.46163878,0.4996167,0.5246432,0.51873815,0.48318064,0.4416705,0.41575265,0.41312551,0.4243184,0.43851283,0.45115352,0.46763027,0.4907914,0.5156978,0.5270203,0.51542693,0.4837203,0.44782606,0.42032263,0.4046229,0.39518943,0.38946652,0.39181933,0.41153815,0.44842938,0.4878434,0.50529915,0.48930517,0.44968116,0.4109527,0.39012516,0.38842526,0.39849254,0.416128,0.4437559,0.48120093,0.518104,0.53531677,0.5191868,0.47608384,0.43013343,0.406991,0.41447756,0.44219884,0.4730576,0.49863824,0.52178687,0.5471782,0.5705312,0.57699484,0.55641556,0.5142108,0.4712931,0.44602442,0.4433546,0.45424497,0.46825895,0.48150435,0.4980184,0.5188246,0.5359636,0.53314763,0.50337666,0.45584467,0.41309997,0.39084896,0.3911258,0.40420565,0.4229071,0.44588163,0.4769291,0.5131715,0.5440767,0.55338556,0.53576255,0.49993137,0.46543023,0.44513714,0.44025317,0.44355938,0.45113564,0.46534947,0.48977652,0.51816714,0.53441364,0.52298236,0.48634937,0.4450127,0.4220816,0.42472205,0.44141486,0.45830747,0.47061267,0.48651204,0.51056975,0.53553385,0.5415401,0.51560366,0.46521512,0.4158889,0.39114168,0.39501944,0.41315016,0.42862788,0.43671417,0.44725809,0.46923682,0.4988766,0.51610404,0.5051599,0.4671155,0.42343053,0.39471367,0.3887632,0.39602423,0.40589097,0.41494963,0.4320216,0.46128115,0.49566126,0.51300675,0.49956718,0.459116,0.415068,0.38704756,0.3812257,0.38921234,0.40324077,0.4215434,0.44768083,0.4780117,0.499892,0.49696553,0.46829006,0.430523,0.4081962,0.41037932,0.42755076,0.4415991,0.44671738,0.4512092,0.46814486,0.49568105,0.51725525,0.5126777,0.48038945,0.43678674,0.40573418,0.3970096,0.4063132,0.42110494,0.4363385,0.45476186,0.4815956,0.5115662,0.52886707,0.5183564,0.48153555,0.43675706,0.4055318,0.39594698,0.40167093,0.41228703,0.42534527,0.44773626,0.48362756,0.5235943,0.54352516,0.52527755,0.47235104,0.4113462,0.36943376,0.35704735,0.3655348,0.38243878,0.40342584,0.43316925,0.47130832,0.50558287,0.5155387,0.49420342,0.45424795,0.42027584,0.40633228,0.41005826,0.42129865,0.4357263,0.45814684,0.49341545,0.5355377,0.56694216,0.56960386,0.54245955,0.50166875,0.46934366,0.45514774,0.45490083,0.45912158,0.46390596,0.47327337,0.4909606,0.51262397,0.5241997,0.51311225,0.4806361,0.44165352,0.41331849,0.40059313,0.39769194,0.39480546,0.38847467,0.3806908,0.37626627,0.37711313,0.38094044,0.38326883,0.38096377,0.37564704,0.3706102,0.3678709,0.3644894,0.35633525,0.3411149,0.32116437,0.3004102,0.281805,0.2655989,0.25100455,0.2379051,0.22780113,0.2219932,0.21979551,0.2174883,0.21139063,0.19983424,0.18434696,0.16690665,0.14895076,0.13156562,0.11736945,0.11111629,0.11729624,0.13651085,0.16282673,0.1865477,0.19976352,0.20072599,0.19293465,0.18132044,0.16935372,0.158938,0.15156442,0.14904572,0.15236658,0.16050145,0.1695177,0.17516817,0.17527257,0.17206712,0.16966027,0.17131853,0.17610788,0.18077971,0.18265148,0.1832707,0.18638527,0.19404566,0.20293595,0.20681143,0.20135148,0.18767087,0.17067038,0.15519632,0.14350097,0.13605253,0.13323759,0.13638432,0.14547348,0.15784775,0.16768034,0.17039901,0.16476698,0.15385509,0.14132434,0.12986496,0.1205268,0.114276744,0.11256959,0.11684737,0.12688108,0.1395349,0.14958233,0.15254772,0.1469218,0.13443846,0.11830065,0.101890735,0.08799958,0.07887808,0.07641139,0.0816985,0.094014466,0.10948953,0.122417845,0.12893997,0.13054246,0.13388103,0.14538746,0.1665075,0.1917746,0.21420467,0.22973518,0.23953603,0.24591963,0.2496438,0.2494538,0.2447579,0.23672666,0.22754331,0.21889086,0.21155858,0.20594077,0.20258003,0.2022196,0.20488451,0.20935702,0.21302223,0.21381135,0.21125625,0.20706056,0.20314963,0.20077862,0.19977249,0.19968487,0.19992582,0.20033026,0.20029287,0.19915424,0.19612099,0.19152768,0.18647195,0.18244775,0.17986088,0.17815472,0.17627262,0.173949,0.17179048,0.17097239,0.17195648,0.17416298,0.17564215,0.17490183,0.17159928,0.16861765,0.16893381,0.17454135,0.18244654,0.18945067,0.1934724,0.1974398,0.20391361,0.21354598,0.22281785,0.22829758,0.2282558,0.22409476,0.21804471,0.21213621,0.20709567,0.2032847,0.20106126,0.20101817,0.20323564,0.20677538,0.210272,0.21282458,0.21486254,0.21684116,0.2185328,0.2182355,0.21507113,0.20959747,0.20441413,0.20130454,0.20033155,0.19930114,0.19615497,0.19020082,0.18261789,0.17514096,0.16896366,0.16431998,0.1610562,0.15927371,0.15969636,0.16262908,0.16731459,0.17101614,0.1710775,0.166205,0.15885766,0.15312131,0.15286602,0.15811624,0.16653614,0.17527626,0.18372531,0.19210559,0.19963522,0.20425145,0.20416391,0.2000757,0.1941051,0.18899274,0.18602093,0.18581282,0.18812375,0.19286156,0.19932681,0.2062819,0.21164942,0.21376723,0.21205355,0.20756884,0.20198941,0.19690765,0.19301851,0.19056612,0.18966359,0.190753,0.1937962,0.19781463,0.2007974,0.20109506,0.19828665,0.19316262,0.1869634,0.18070827,0.17545718,0.17215498,0.17166306,0.17425227,0.17914005,0.18453653,0.18753095,0.1859314,0.17897283,0.16943605,0.16169648,0.1602156,0.16542093,0.1748211,0.18468301,0.19371606,0.20199068,0.20947598,0.21463345,0.21614896,0.21416847,0.21045889,0.2067253,0.20382297,0.20159213,0.19996543,0.19931097,0.20026942,0.20275962,0.20549059,0.20669521,0.20522048,0.20148624,0.196912,0.1931573,0.19100328,0.19037652,0.19073765,0.1920352,0.19452113,0.19815801,0.20176065,0.2037796,0.20320399,0.20042168,0.19650094,0.19259334,0.18927717,0.18689097,0.18561976,0.18582392,0.18729325,0.18899028,0.1884899,0.18356182,0.17329402,0.16008575,0.14795035,0.14118715,0.14078486,0.14558594,0.15228684,0.15863164,0.16279842,0.1645511,0.16419023,0.16264558,0.1607939,0.15900113,0.15741144,0.15575902,0.15396167,0.15193523,0.1499951,0.1485367,0.14775604,0.14726265,0.14629667,0.14425693,0.14115238,0.13744605,0.1337357,0.1302975,0.12723076,0.124758564,0.12372005,0.12512924,0.12901293,0.13368607,0.13642278,0.13577934,0.13245602,0.1290363,0.12729685,0.12748708,0.12795252,0.12734424,0.12521288,0.122487314,0.11994625,0.11748859,0.11453373,0.11154011,0.11173455,0.11853958,0.1327439,0.1489211,0.16051519,0.16417448,0.16410385,0.16607325,0.17306054,0.18197723,0.18839861,0.18969364,0.18681419,0.18184082,0.17621692,0.17035158,0.16478032,0.16118293,0.16152531,0.16597182,0.17189646,0.17512001,0.17351538,0.1679194,0.16134758,0.15579717,0.15178363,0.14866911,0.14615576,0.14457422,0.14467879,0.14662544,0.14934714,0.15058126,0.14865124,0.14330997,0.13607258,0.12852593,0.12187037,0.11696556,0.11561824,0.12104539,0.13619107,0.16047281,0.18741226,0.2073369,0.21348256,0.20648517,0.1927737,0.1788221,0.16746539,0.15815413,0.1499884,0.14280607,0.13705502,0.13255079,0.12883587,0.12601028,0.12592103,0.13198194,0.14685209,0.16976081,0.19538058,0.21723272,0.23157515,0.23946448,0.2440911,0.24801593,0.25174305,0.25487724,0.25683844,0.2574617,0.25674784,0.25509164,0.25292468,0.2509311,0.24996038,0.25109574,0.254792,0.26009333,0.26377058,0.26099157,0.24675792,0.21963604,0.1834352,0.14687796,0.11791867,0.100622915,0.09434306,0.09835974,0.11224431,0.13498667,0.16170515,0.18699016,0.20853478,0.2296518,0.25486717,0.2843928,0.3124499,0.33072376,0.3346504,0.32459065,0.30402255,0.2754192,0.24104106,0.20437975,0.17168085,0.14905985,0.14063509,0.14613962,0.1620149,0.18160546,0.19870178,0.20937608,0.21378459,0.21422452,0.2132932,0.21247505,0.2117437,0.20952165,0.20264061,0.18833649,0.1665562,0.14198454,0.1222265,0.11463266,0.12189591,0.14123105,0.1651134,0.18536012,0.19546682,0.19272552,0.17780252,0.1547624,0.12943758,0.10750618,0.0926199,0.08682122,0.091501795,0.10699129,0.13083892,0.15786533,0.1831584,0.20450099,0.22217208,0.23615311,0.24600811,0.2520337,0.2571793,0.26471683,0.2758702,0.28765377,0.29503307,0.29312825,0.28000954,0.2568835,0.22791879,0.19826578,0.17274666,0.15441109,0.14438218,0.14150812,0.14302664,0.14561737,0.14700787,0.1464576,0.14438005,0.1415184,0.13855928,0.13596737,0.13383923,0.13208026,0.13055713,0.12936805,0.12841375,0.12740515,0.12589262,0.12387832,0.121712916,0.119829245,0.11828663,0.11685767,0.115262724,0.11332626,0.110982455,0.10825503,0.105326414,0.10249317,0.10007166,0.09825677,0.097067945,0.09637875,0.095942944,0.09552246,0.09491437,0.09407398,0.09304429,0.0919241,0.09079345,0.08972529,0.088841766,0.08818075,0.08765364,0.086973675,0.08590838,0.08441442,0.082701646,0.08106359,0.07965381,0.07834771,0.076896705,0.0756044,0.0760973,0.08099044,0.09190609,0.1073161,0.12268696,0.13347466,0.13797641,0.13770168,0.13510229,0.13181533,0.12830482,0.124662764,0.12100034,0.11747429,0.1142666,0.11150939,0.1092901,0.10746378,0.105818026,0.10406634,0.102001816,0.099330984,0.09620977,0.09392642,0.0958971,0.1061885,0.1266589,0.15372007,0.17977881,0.197677,0.20531122,0.20547448,0.20257537,0.19939876,0.1968381,0.1953284,0.19637686,0.20172359,0.2118246,0.22402732,0.23434637,0.23965974,0.24037375,0.23862712,0.23682432,0.23532401,0.23405527,0.23246801,0.23048216,0.22692889,0.22031654,0.20949799,0.19549836,0.18174134,0.17298083,0.17285986,0.1816612,0.19545119,0.20799719,0.21340401,0.20900851,0.19562458,0.1771143,0.15811868,0.14289574,0.134382,0.13482128,0.14497572,0.16332613,0.18577361,0.20859279,0.23127513,0.25536785,0.28046587,0.30085897,0.30990875,0.3048229,0.29006946,0.27277407,0.25869232,0.2495919,0.24476014,0.24278994,0.24242716,0.24294804,0.24369262,0.2442472,0.24418296,0.24339831,0.24189635,0.23973346,0.23658204,0.23177166,0.224476,0.21472424,0.20400733,0.19496725,0.18948708,0.18712549,0.18531148,0.18112808,0.17281604,0.16001023,0.14353693,0.12547259,0.10917362,0.09869886,0.097811066,0.10851156,0.12957531,0.15592715,0.18057938,0.19822891,0.2076413,0.21104361,0.21138726,0.2111442,0.21239065,0.21795963,0.22962195,0.24631806,0.26259533,0.27211294,0.27132782,0.26213413,0.24974819,0.2391002,0.23251869,0.22938599,0.22835235,0.22856641,0.23044805,0.23405951,0.23785849,0.23890859,0.23490636,0.22632517,0.21612881,0.20772976,0.20280404,0.20081617,0.2001956,0.19951172,0.19813721,0.1960187,0.19335558,0.19040649,0.18737803,0.18449926,0.1818794,0.17952533,0.17727529,0.17497009,0.17254178,0.17005031,0.16756348,0.16502236,0.16229759,0.15928532,0.15609904,0.15293151,0.14995617,0.14715172,0.14445756,0.14184089,0.13936542,0.13701196,0.13470173,0.13233675,0.13000226,0.12784638,0.12596212,0.12425855,0.12258572,0.12084461,0.11899957,0.11708852,0.11517485,0.11337656,0.11168721,0.110025875,0.10823789,0.10634246,0.104445934,0.10269388,0.10104535,0.09934738,0.09740469,0.095182866,0.092793465,0.09046332,0.08832993,0.08640959,0.08457657,0.082772136,0.081020884,0.07944366,0.07802906,0.07662185,0.0749339,0.07281152,0.070340425,0.06786321,0.06574294,0.064176984,0.06312235,0.062350556,0.061562333,0.060455162,0.058857586,0.056792095,0.054579858,0.052758496,0.05191049]