[0.10670276,0.12496153,0.16126068,0.1988058,0.2243158,0.23450588,0.23454887,0.23184289,0.23006247,0.22835408,0.22330926,0.21298903,0.1978755,0.1809935,0.16571008,0.15458894,0.14791766,0.14444613,0.14243476,0.1417151,0.14367418,0.150241,0.1615454,0.17491661,0.18615146,0.19191845,0.19172938,0.18710005,0.18074153,0.17595595,0.17638971,0.1839207,0.19638103,0.2086181,0.21586718,0.21704637,0.21321501,0.2053488,0.19190975,0.17133538,0.14369015,0.11303821,0.084495686,0.06332191,0.053419303,0.059983164,0.08630698,0.13058102,0.1814838,0.22446103,0.24867229,0.2538734,0.24692665,0.23736326,0.23113923,0.22995792,0.2310441,0.23140301,0.22925526,0.22573821,0.22177877,0.21775116,0.21273422,0.20645344,0.19920617,0.19181621,0.1847062,0.17754035,0.1690151,0.158073,0.14520194,0.13374494,0.12777728,0.1296137,0.1373197,0.146596,0.15366507,0.15815537,0.16260946,0.17046379,0.1831096,0.199205,0.21512716,0.22787006,0.23593245,0.24022813,0.24205174,0.24249764,0.24119385,0.23735912,0.23079337,0.22299063,0.21635687,0.21259178,0.21172619,0.21286286,0.21527362,0.21878028,0.22266395,0.22531079,0.22454847,0.21926312,0.20963584,0.19614337,0.17825915,0.1552371,0.12873204,0.10381869,0.08655244,0.079954036,0.08280873,0.092392795,0.10734472,0.12800066,0.15380503,0.1819598,0.20792459,0.2279468,0.24037762,0.24534778,0.24360554,0.2360912,0.22520351,0.21466438,0.20830591,0.20721047,0.20951553,0.21168935,0.21133067,0.20834489,0.20520721,0.20511316,0.21017255,0.21913926,0.22856557,0.23396753,0.23276103,0.22407019,0.20977056,0.19349293,0.1800171,0.1724543,0.17082107,0.17231138,0.17388268,0.17417328,0.1741891,0.17583616,0.18066478,0.18869953,0.19904184,0.21032178,0.22121112,0.23046266,0.23694931,0.24019802,0.23982473,0.23598225,0.22892149,0.22011298,0.21148491,0.20516862,0.20215005,0.20246172,0.20543109,0.21061796,0.21783008,0.22732402,0.23890163,0.25142694,0.2617017,0.26597965,0.26213658,0.25227603,0.241376,0.23421733,0.23190105,0.2318163,0.22932808,0.22141428,0.20885696,0.19739015,0.19390397,0.20167814,0.21639746,0.22927964,0.23306559,0.2269842,0.21554746,0.20441376,0.19697303,0.19401026,0.19440188,0.19599563,0.1961474,0.19283666,0.18590873,0.1772709,0.17101431,0.17125286,0.18064182,0.19760948,0.21721357,0.23292814,0.24017662,0.23796375,0.22875488,0.21689208,0.20604795,0.19797279,0.19230336,0.1884824,0.18653785,0.18704641,0.18950017,0.19277954,0.19607675,0.20019178,0.20582622,0.21234034,0.21787821,0.22146823,0.22410719,0.22682548,0.22924305,0.22904761,0.2250403,0.21822079,0.21136828,0.20584567,0.2003627,0.19230664,0.18087645,0.16863257,0.15989196,0.1575836,0.16100605,0.16683,0.17142399,0.17309661,0.1717252,0.16788368,0.16220212,0.15643595,0.15354516,0.15633208,0.16462933,0.1753869,0.1850106,0.19318347,0.20216505,0.21439378,0.22877534,0.2418807,0.24971116,0.25097302,0.24667327,0.23988444,0.23298402,0.22718455,0.22140379,0.21450555,0.2053174,0.19404463,0.18073069,0.16654319,0.15278094,0.14166284,0.13423114,0.13027525,0.12794746,0.12548472,0.1231581,0.123366274,0.12933145,0.141433,0.1569153,0.17127655,0.18149082,0.18696414,0.18834595,0.18658648,0.18212263,0.17565055,0.16813506,0.16108501,0.15657133,0.1567476,0.16375126,0.17826574,0.19887209,0.22084683,0.23774286,0.24363361,0.23605795,0.21674164,0.19066836,0.16423716,0.14302935,0.1309599,0.12974292,0.1393218,0.15632361,0.17409147,0.18476047,0.18576683,0.18198328,0.18268128,0.19249499,0.20871623,0.22440152,0.23499744,0.2386236,0.23300336,0.21454,0.18343265,0.14761455,0.12048005,0.112011164,0.12381053,0.14862293,0.17675333,0.19996344,0.21603929,0.2267812,0.2354547,0.24166112,0.24254255,0.23607193,0.22463165,0.21289007,0.20438738,0.19942188,0.19698232,0.1963039,0.19788946,0.20228098,0.20917575,0.21635938,0.22021604,0.21819526,0.21092057,0.20266213,0.19740248,0.19668753,0.19843209,0.20092134,0.20334847,0.20678775,0.211397,0.21730608,0.2243974,0.23276454,0.24174519,0.24949034,0.25429288,0.25483695,0.25086665,0.24232854,0.2298529,0.21493042,0.19939053,0.1848762,0.17129457,0.1583082,0.14619972,0.13827115,0.13925636,0.15238889,0.17607261,0.20302309,0.22475588,0.23545475,0.2358204,0.22888543,0.21651383,0.19613099,0.16587551,0.12894216,0.09493604,0.07300378,0.06640781,0.07180935,0.08517585,0.10530988,0.13271333,0.16503881,0.19564708,0.21670984,0.22397701,0.21904401,0.20759465,0.19566917,0.18686174,0.18166287,0.17911291,0.17814381,0.17879838,0.18127854,0.18582378,0.19175021,0.1981806,0.20367503,0.20708631,0.20766671,0.20569451,0.20164408,0.1954015,0.18630844,0.17479052,0.16360371,0.15670174,0.1564041,0.1615728,0.16863741,0.17434515,0.17798941,0.18147123,0.18746416,0.19701166,0.20851956,0.21920347,0.22707166,0.23271161,0.2377752,0.24401768,0.25091022,0.25723273,0.2611636,0.26227155,0.26015195,0.2551307,0.24745254,0.23776393,0.22524856,0.20750912,0.18129198,0.14593893,0.10517055,0.06702579,0.040707152,0.03351596,0.04770596,0.07885412,0.11538688,0.14279221,0.14968781,0.13409956,0.1031937,0.07002372,0.0476599,0.045789313,0.06728045,0.107180335,0.15457593,0.19787657,0.23006473,0.24944799,0.25768575,0.25692037,0.25043467,0.24228668,0.2366582,0.23454492,0.23394687,0.2312097,0.22411935,0.21238315,0.19766752,0.18356693,0.17470115,0.17443769,0.18096875,0.18775754,0.18734224,0.17784125,0.16428246,0.15530492,0.15693294,0.1691829,0.1871409,0.20390855,0.21403761,0.21444853,0.20559503,0.19141383,0.17893143,0.17537121,0.18344115,0.19902986,0.2133307,0.22014111,0.21992733,0.2184871,0.22045028,0.2261944,0.2334143,0.240488,0.24698217,0.25157353,0.25199607,0.2468218,0.2379206,0.22937733,0.2247519,0.22431047,0.22454363,0.22012176,0.20675938,0.18554635,0.16416244,0.15430593,0.1626698,0.18527687,0.2093767,0.22372757,0.22598483,0.22183545,0.2186389,0.22069423,0.22853704,0.24021919,0.25205043,0.26073822,0.2649709,0.2667986,0.2694833,0.2747909,0.28166807,0.28732514,0.2902384,0.29076597,0.2907228,0.29090476,0.2909129,0.2896481,0.28692913,0.28341594,0.28006303,0.27719346,0.27444375,0.2708815,0.2652583,0.25704086,0.24723504,0.23862778,0.23312558,0.22974509,0.22454812,0.2145,0.20029135,0.18593897,0.17525186,0.16939533,0.16738354,0.1683651,0.17241175,0.18064992,0.19413996,0.21432035,0.24081914,0.27010426,0.29473594,0.30732763,0.30520937,0.29190525,0.27432802,0.25809383,0.24576485,0.23791255,0.23465796,0.23600025,0.24080636,0.24755166,0.25546005,0.26486638,0.2756327,0.28584692,0.2928867,0.29542777,0.29390252,0.2893618,0.2818071,0.2712859,0.25892687,0.24809028,0.24228738,0.24323057,0.25007504,0.26077956,0.27414855,0.28900626,0.30382004,0.31536147,0.32150337,0.3215737,0.31773275,0.31134394,0.30166575,0.28475392,0.25800338,0.22370844,0.18923439,0.16271825,0.14870675,0.14862137,0.16110325,0.18290643,0.20748901,0.22876716,0.24419904,0.2561686,0.26703843,0.27489832,0.2743336,0.26202327,0.24143629,0.22118235,0.20965277,0.21032907,0.22181875,0.24007468,0.2607194,0.27907217,0.29106054,0.29405847,0.28958806,0.28221288,0.27758583,0.27735028,0.2791194,0.2778883,0.27227104,0.26503146,0.26178035,0.26398233,0.26876876,0.2709839,0.26883993,0.2626247,0.25187123,0.23381783,0.20675707,0.17428958,0.14485493,0.12854835,0.1310072,0.15078229,0.17887044,0.20403348,0.21888453,0.22436213,0.22800298,0.23760986,0.25463712,0.27321568,0.285018,0.28597495,0.2772776,0.26273867,0.24538654,0.22846512,0.21595418,0.21093033,0.21258967,0.21656992,0.21956249,0.22294581,0.23221879,0.25083786,0.2760187,0.29932484,0.31376353,0.31759164,0.31351206,0.3026435,0.28390822,0.25684205,0.2268685,0.2034372,0.19515847,0.2032804,0.22242858,0.24379146,0.26120928,0.27158073,0.27538526,0.27362,0.2682635,0.26081944,0.25341287,0.24768859,0.24456477,0.24390405,0.24579106,0.25141814,0.26074627,0.26992106,0.27126446,0.25936344,0.23540474,0.20703709,0.18157357,0.16173446,0.14582248,0.13314822,0.12698661,0.13325734,0.15398984,0.18360703,0.20986728,0.2226718,0.22065265,0.21293966,0.21061952,0.2184937,0.23183906,0.24257411,0.24554516,0.24086116,0.23122363,0.22058062,0.2129678,0.21161498,0.21598421,0.22262454,0.22741564,0.23007655,0.23304413,0.24038903,0.25278828,0.26898086,0.28468695,0.29771554,0.30607596,0.31066942,0.31182563,0.31147447,0.310414,0.30911008,0.30561188,0.2968818,0.28011182,0.25525242,0.22623537,0.19949035,0.18185091,0.17786758,0.18951307,0.21451569,0.24623652,0.27446675,0.29080465,0.29306707,0.2857671,0.27490807,0.26256248,0.24668914,0.22495818,0.1992687,0.1749311,0.15853968,0.15491277,0.16719384,0.19436496,0.23050998,0.26493797,0.28869748,0.29893705,0.29978454,0.29606777,0.2882614,0.2711384,0.23922683,0.19251888,0.13922653,0.09115175,0.058035314,0.044077944,0.049877107,0.07430735,0.11376671,0.1602027,0.20165758,0.22706129,0.23183626,0.21976638,0.20060472,0.18387479,0.17531419,0.17542964,0.18227746,0.19338457,0.20704699,0.22215629,0.23753989,0.2522606,0.26496413,0.27471492,0.28038892,0.28225622,0.2814813,0.2803402,0.27979633,0.27918574,0.27691367,0.27294865,0.26928517,0.26767933,0.26735008,0.26489604,0.2578168,0.24672574,0.23589157,0.22990383,0.2315483,0.2394311,0.2496083,0.25716755,0.2595062,0.25611392,0.24826501,0.23788722,0.22862732,0.22518964,0.23106968,0.24499665,0.26116854,0.273303,0.2801645,0.28606284,0.29649305,0.31153122,0.3256421,0.33166397,0.32783017,0.31738532,0.30635515,0.2983273,0.29408666,0.29128802,0.285441,0.27249524,0.25084022,0.22430746,0.19855864,0.17932475,0.1687612,0.1677009,0.17603165,0.193357,0.2166912,0.23945701,0.25337255,0.25339463,0.24170065,0.22653718,0.21624915,0.21394646,0.21678792,0.22000511,0.22244515,0.23005618,0.25625396,0.31227645,0.39665064,0.48645195,0.55111533,0.5695188,0.54619074,0.5010556,0.45562637,0.4182601,0.388073,0.35915884,0.3289852,0.29652366,0.26506376,0.23980998,0.23190348,0.25444505,0.31452408,0.40200058,0.48619127,0.5351021,0.5331598,0.49461362,0.4439765,0.40199295,0.3713789,0.3473293,0.32269052,0.29540932,0.26586273,0.23650731,0.20947003,0.18690366,0.17105673,0.16597097,0.1764241,0.20466132,0.245907,0.2886188,0.32088745,0.3371632,0.33981243,0.3336682,0.32171896,0.3034931,0.27727142,0.24096327,0.19484013,0.14323677,0.09590951,0.064169794,0.057313997,0.07824288,0.12292232,0.17923684,0.23081553,0.2616895,0.26310006,0.23685092,0.19605802,0.16088462,0.14926961,0.16626014,0.20097922,0.23425524,0.25259355,0.25499868,0.25037652,0.24882562,0.25506923,0.26813397,0.28290895,0.29473475,0.29904637,0.29192448,0.26848197,0.22710343,0.17296655,0.118748896,0.078167535,0.059310213,0.06273494,0.084716894,0.12016217,0.16253908,0.20375657,0.23602466,0.25522205,0.2615832,0.25833234,0.24942757,0.2388758,0.23003052,0.2247688,0.22203292,0.21842514,0.21002041,0.19551708,0.17651476,0.15650325,0.13927998,0.12941279,0.13141394,0.14623451,0.16812734,0.1866796,0.19313739,0.18472283,0.16456823,0.14008166,0.12230567,0.122020386,0.14323618,0.17795812,0.21168362,0.23335342,0.24222676,0.24405153,0.24369329,0.24194212,0.23756282,0.23088829,0.22320767,0.21504927,0.20531404,0.19343816,0.1818554,0.1749565,0.1762624,0.18450022,0.19474061,0.20099737,0.20241548,0.20592487,0.22685258,0.27950156,0.36474827,0.4610684,0.5338339,0.5572861,0.5316401,0.48029944,0.42981625,0.39463392,0.3742478,0.3623233,0.3526844,0.34135452,0.3249385,0.30306378,0.28202617,0.27868494,0.31004843,0.3800296,0.46465865,0.52813834,0.54243374,0.51123005,0.45641637,0.40403333,0.36358646,0.33501646,0.3125589,0.2958436,0.28699246,0.29002023,0.30518374,0.33058783,0.36583892,0.41307974,0.47098136,0.52627116,0.5579075,0.5517233,0.51224685,0.45927414,0.41160393,0.3766837,0.35065913,0.3280888,0.30830085,0.29484367,0.29009753,0.29217148,0.29862067,0.3137398,0.34654725,0.40067574,0.46157977,0.50326055,0.5058279,0.4727064,0.42552873,0.38692847,0.36545464,0.3572921,0.3549703,0.35472178,0.3544341,0.3523505,0.34736824,0.34367064,0.3521359,0.38451946,0.442554,0.50922877,0.55551535,0.55829173,0.5158829,0.4473462,0.3768657,0.3207965,0.28336933,0.26299927,0.2561184,0.25861302,0.2649561,0.26982507,0.27078044,0.26768744,0.26111785,0.2500649,0.23452936,0.21647601,0.20021026,0.18834825,0.18094116,0.1763851,0.1748997,0.17876633,0.19000615,0.20725776,0.22545685,0.23879157,0.24420612,0.24284987,0.2380032,0.23247479,0.22730333,0.22299443,0.2204435,0.22088756,0.22483145,0.2316551,0.23971601,0.24712574,0.2524291,0.25567794,0.25766,0.25889137,0.25818056,0.25439247,0.24783488,0.24030878,0.23169045,0.21888202,0.1982953,0.17107671,0.14324944,0.121881604,0.10947601,0.10449413,0.105178915,0.113943785,0.13585092,0.17256255,0.21776247,0.26060763,0.29716003,0.33709523,0.39583686,0.47502685,0.5529824,0.59714365,0.590664,0.54409105,0.4856131,0.43840268,0.41075063,0.39744052,0.38904873,0.37723458,0.3585075,0.33475888,0.311951,0.2974635,0.2971667,0.31281233,0.3399395,0.36927354,0.39180708,0.4035482,0.40559897,0.39958003,0.3852738,0.36228237,0.33452365,0.31046847,0.29886842,0.3028647,0.31790134,0.33659855,0.3546482,0.37474418,0.3994933,0.42605138,0.44251326,0.43972966,0.41749457,0.38788486,0.3633131,0.3507718,0.34853283,0.3520458,0.3565525,0.35965362,0.3603052,0.35863796,0.3535761,0.34349144,0.32716605,0.30794084,0.29177046,0.28423682,0.28425708,0.28659168,0.28511488,0.27823022,0.26736376,0.2563354,0.25081763,0.2575479,0.2805501,0.31541047,0.35093054,0.37715068,0.39572525,0.42036805,0.4626939,0.5176236,0.5602801,0.56639886,0.53112173,0.472824,0.41640663,0.37620035,0.35299692,0.33822596,0.32248154,0.29806224,0.26363304,0.2240731,0.19140343,0.18129288,0.21062511,0.2830529,0.3819666,0.4679779,0.5075243,0.49028084,0.43886545,0.38354817,0.3462322,0.32979766,0.3280829,0.33222905,0.33609426,0.3353599,0.32866272,0.31907138,0.31430137,0.32285002,0.34462062,0.36976436,0.38288465,0.37911966,0.36561322,0.35754907,0.36227587,0.37698868,0.39115766,0.39555547,0.38614044,0.36546746,0.34099254,0.32071197,0.3081694,0.29912224,0.28617433,0.2653236,0.24273211,0.22862215,0.22979389,0.24107604,0.25030667,0.24616237,0.22717254,0.20330465,0.19024892,0.20060723,0.23467012,0.28108168,0.3237069,0.3552508,0.38215527,0.41979587,0.47337142,0.52810496,0.5545216,0.53477246,0.47684166,0.40934765,0.35763243,0.3294004,0.31744477,0.31072238,0.3031002,0.2922928,0.27892506,0.2645278,0.25326362,0.25038302,0.259823,0.28042075,0.30579326,0.32769623,0.3409177,0.34507188,0.34305513,0.33777246,0.33154288,0.32615563,0.3237251,0.3251984,0.3302445,0.33690307,0.34343028,0.34945974,0.35779417,0.37146986,0.38938412,0.4025917,0.3999517,0.37665486,0.33926824,0.30069956,0.27176023,0.25643262,0.25249746,0.2553714,0.26003754,0.26213685,0.25723287,0.24279928,0.2199717,0.19532879,0.17679547,0.16935147,0.17135167,0.17773797,0.18344861,0.18667102,0.18756287,0.18735087,0.18922305,0.20111759,0.23623699,0.302067,0.38769174,0.45860854,0.47969165,0.44122124,0.37115535,0.3095632,0.2802113,0.27649465,0.27884448,0.27301756,0.25910524,0.24399579,0.23451386,0.23613226,0.25407454,0.29080316,0.33729938,0.3739576,0.37984183,0.35245422,0.31173816,0.29343918,0.3223873,0.39485595,0.4733994,0.51330996,0.4932438,0.42944828,0.3576134,0.3055764,0.28122512,0.2788788,0.29033294,0.30836296,0.3269051,0.3409871,0.34963766,0.35552552,0.3648317,0.38043502,0.4003249,0.4144806,0.41528988,0.40077007,0.37886298,0.35749128,0.342108,0.33226815,0.32615754,0.32048312,0.3132269,0.30405512,0.2953819,0.28978077,0.2877213,0.28763703,0.2878492,0.28861952,0.29053697,0.29324675,0.29418468,0.29094186,0.28252503,0.27037978,0.25745103,0.24764061,0.2451459,0.25225827,0.26754352,0.28579247,0.30443642,0.32883227,0.37180075,0.43786073,0.5126012,0.56323916,0.5657398,0.52028316,0.45362115,0.39317468,0.3540939,0.3346686,0.32845917,0.3287305,0.3314077,0.3332707,0.33311275,0.3311074,0.32858786,0.326483,0.32507178,0.32383314,0.32192925,0.3190342,0.31548998,0.31211624,0.3087853,0.30456018,0.29860446,0.29179963,0.28640673,0.2842017,0.28499022,0.2865388,0.2866677,0.28431785,0.28038576,0.27611262,0.27267835,0.2699513,0.26773968,0.2655959,0.26376104,0.26189387,0.25982586,0.25767207,0.25695193,0.25916415,0.26441777,0.27065718,0.27522123,0.27658045,0.27508214,0.27236643,0.27035332,0.2702452,0.27203867,0.2746583,0.2766531,0.27627277,0.27172557,0.2618187,0.24755144,0.23239543,0.22126633,0.21830143,0.22527118,0.24002405,0.25756884,0.2721474,0.28181306,0.28776968,0.2931049,0.2980419,0.30153152,0.30189535,0.29987624,0.29707393,0.29529265,0.29514706,0.2967569,0.30054203,0.30701482,0.31624272,0.32629955,0.33483902,0.3392471,0.33939502,0.33574685,0.330452,0.32495192,0.32125297,0.3203636,0.32239786,0.3258367,0.32800743,0.32627007,0.31869993,0.30519423,0.28754938,0.2690743,0.2527203,0.23974043,0.22952448,0.22149014,0.21631579,0.21655194,0.22431421,0.23928456,0.2570615,0.27153328,0.2784172,0.2779896,0.27424386,0.2713482,0.27096447,0.2707397,0.2663181,0.25353804,0.23199457,0.20558484,0.18161559,0.16731448,0.16716258,0.18071844,0.20271128,0.2245689,0.23882586,0.24251984,0.23885721,0.23410527,0.23373647,0.2392085,0.24791317,0.2558919,0.26056483,0.26253745,0.26365003,0.26543728,0.2672223,0.26780012,0.26573002,0.2618198,0.25759384,0.25559703,0.2558067,0.2565749,0.25454375,0.24807066,0.23745675,0.22510922,0.21362929,0.20536776,0.20190072,0.20465712,0.21368246,0.22764738,0.24324395,0.25766817,0.26907754,0.27746412,0.28283492,0.28521395,0.2839428,0.27811262,0.2663298,0.24785231,0.22440863,0.20107056,0.18481047,0.18010426,0.18613124,0.1967399,0.20498477,0.20678782,0.2025975,0.19510864,0.18709196,0.17991741,0.17381608,0.16829062,0.16271307,0.1569445,0.15150888,0.14715101,0.14390482,0.14093524,0.1371605,0.13213187,0.12613328,0.11969922,0.11315531,0.106667966,0.1004549,0.09476716,0.08966429,0.0849694,0.08052396,0.0764688,0.073144525,0.07081447,0.06944229,0.068917096,0.06925883,0.07068428,0.073242314,0.07661047,0.08014516,0.083350934,0.08612461,0.08869383,0.09121237,0.09364616,0.09592292,0.09827405,0.101217866,0.10529691,0.11075593,0.11740472,0.12477525,0.13221769,0.13929622,0.14589305,0.1524328,0.15950786,0.16768576,0.17726223,0.18826707,0.20038624,0.2128182,0.22584145,0.24315424,0.2729518,0.32150462,0.38326895,0.43812382,0.46405292,0.45637417,0.43268582,0.41849986,0.42710683,0.45145783,0.47427437,0.4794662,0.46312988,0.42899203,0.38620052,0.34225985,0.30808023,0.29747453,0.32225993,0.3762212,0.4324521,0.45652378,0.43403852,0.37660027,0.3134565,0.2680382,0.25197756,0.26257372,0.2900289,0.3206792,0.3437175,0.3531741,0.3472701,0.32417533,0.2834852,0.2292208,0.17496707,0.1392102,0.1388889,0.17986365,0.25650406,0.35068166,0.43821183,0.49375963,0.5059743,0.48133752,0.4420245,0.40824786,0.38963294,0.38367462,0.38351545,0.38308683,0.3791516,0.37193087,0.36411217,0.35911164,0.35794118,0.35899782,0.3590119,0.35639444,0.35094813,0.3447354,0.33921042,0.33618045,0.3357073,0.33781794,0.3410199,0.3442378,0.34672537,0.35043964,0.3583778,0.37245592,0.39062774,0.4088143,0.4246041,0.4367907,0.44252005,0.43469808,0.40937153,0.37061587,0.33098733,0.3019624,0.28766832,0.2850109,0.28760436,0.29118478,0.29312265,0.29393187,0.2932544,0.29197437,0.29006726,0.28900853,0.28755793,0.2823243,0.26755562,0.2406339,0.20365642,0.16357493,0.12807769,0.10381052,0.09639594,0.112169325,0.15612416,0.22544901,0.30616564,0.37751365,0.4271673,0.4575555,0.48361936,0.51223546,0.5370579,0.5392999,0.5111766,0.45918432,0.40388826,0.36047733,0.33581117,0.32679087,0.32819143,0.3338749,0.33874682,0.33938253,0.335673,0.33244622,0.33896634,0.3650043,0.41048956,0.4607235,0.49093094,0.48614386,0.45085457,0.40648934,0.3722973,0.35611752,0.35448194,0.36069188,0.36943066,0.37687543,0.38097546,0.381703,0.3819879,0.3871033,0.39910313,0.4142835,0.4210625,0.41047034,0.3811239,0.34304634,0.30800083,0.28378728,0.27081442,0.2659944,0.26630867,0.2706604,0.27933624,0.2919509,0.30645594,0.3197234,0.32983485,0.33696565,0.3430426,0.34967723,0.3572726,0.3639184,0.36633834,0.36048818,0.3444774,0.32011953,0.29552165,0.28312144,0.29374924,0.32749352,0.36983418,0.40167043,0.4140562,0.41803682,0.431856,0.462706,0.49591765,0.5080597,0.48717165,0.44030738,0.38633528,0.33973047,0.30782107,0.28987744,0.284003,0.28701207,0.29723895,0.31344083,0.3327676,0.3507011,0.3618687,0.36622325,0.36658671,0.36769512,0.36898804,0.36849844,0.36276457,0.3526014,0.33975315,0.32779208,0.31847218,0.3132173,0.31241795,0.31610313,0.32343718,0.3334293,0.3463336,0.36411604,0.38628486,0.40803418,0.4192488,0.4140707,0.39351603,0.36768103,0.3459402,0.33352342,0.32748583,0.32130292,0.30834097,0.28895667,0.27017298,0.26176164,0.26641843,0.27864882,0.28891465,0.29172668,0.28669438,0.2759495,0.2614858,0.24531281,0.2303224,0.2195882,0.21538837,0.22055323,0.24026628,0.2822915,0.34717917,0.42109856,0.4754378,0.4876314,0.45635867,0.40430593,0.35754266,0.32973263,0.3179814,0.31252596,0.30569732,0.2956356,0.28480613,0.27782667,0.27826574,0.28843665,0.30464366,0.3185254,0.31696728,0.29470065,0.26026925,0.23845522,0.25486004,0.31525403,0.39635754,0.45655203,0.46870038,0.43543234,0.38520694,0.34412006,0.3228697,0.31710008,0.31975755,0.3263538,0.3348442,0.34298217,0.34890887,0.35300162,0.36002228,0.3761498,0.40309802,0.43331817,0.4523832,0.44897982,0.42170826,0.37932155,0.33205748,0.28651655,0.24520868,0.2109627,0.1889718,0.18466277,0.19940199,0.2276939,0.25848606,0.2806008,0.28804818,0.28378245,0.27668515,0.27553943,0.28202665,0.29100275,0.29614875,0.29471007,0.2868748,0.27186477,0.25024733,0.22785628,0.21677178,0.22540946,0.2521805,0.28795937,0.32844344,0.37570167,0.4286851,0.47332478,0.48987994,0.47064033,0.42729422,0.38126025,0.34638736,0.3240068,0.30821493,0.29558346,0.28717527,0.28708062,0.29668173,0.31341138,0.33039558,0.34238756,0.34750262,0.3484616,0.34751055,0.3456607,0.3415823,0.33523762,0.32785472,0.32271767,0.32255366,0.32858393,0.34034118,0.3563002,0.37466064,0.39179528,0.40444803,0.41182908,0.41828182,0.42731664,0.43706596,0.43797162,0.42277756,0.39109746,0.3520111,0.31383276,0.2809379,0.2517727,0.22670043,0.21022516,0.20912506,0.2241713,0.2472002,0.26599225,0.27370572,0.27222696,0.26785728,0.2634481,0.25602344,0.24021854,0.2148331,0.18531294,0.16093142,0.14978823,0.15640326,0.18301207,0.22870834,0.2876549,0.34636822,0.38993478,0.41031024,0.41522646,0.42330614,0.4489682,0.4865636,0.5116115,0.50172,0.45586744,0.39495,0.34343174,0.31388906,0.30492166,0.30898884,0.3184223,0.3281407,0.33413705,0.3346847,0.3312339,0.33179656,0.34859565,0.3872244,0.43723074,0.47147772,0.46811268,0.42581344,0.36797762,0.3201215,0.2954645,0.29053667,0.29775915,0.31224898,0.3324952,0.35552248,0.3758746,0.38906777,0.3954736,0.40065172,0.40926048,0.42077127,0.42812166,0.42476597,0.40868497,0.38545665,0.36374596,0.35152307,0.35061005,0.35544816,0.3547245,0.3370371,0.296902,0.23855041,0.17465083,0.121682145,0.09350412,0.097303845,0.12955205,0.17562307,0.21320415,0.22407238,0.20408475,0.16554028,0.12789075,0.10853026,0.118031465,0.16000395,0.22851036,0.30734298,0.3753325,0.41951844,0.44379556,0.4646647,0.49392268,0.52680796,0.5448596,0.5347705,0.49855542,0.45226896,0.41024432,0.3790262,0.35623643,0.33884048,0.32486063,0.31460002,0.30668113,0.29889664,0.28931212,0.27969983,0.27402803,0.27550125,0.2841746,0.29802302,0.31464434,0.33130777,0.34384474,0.34819952,0.34291837,0.33177146,0.3218124,0.3197455,0.32759115,0.34134007,0.35396862,0.36065534,0.36298382,0.3660103,0.37300268,0.38088393,0.38434243,0.38025358,0.37098157,0.3604176,0.35097635,0.34223816,0.3330005,0.32315424,0.3134551,0.30494693,0.29725024,0.288565,0.27540454,0.25556335,0.23127137,0.21177518,0.20776951,0.22322224,0.24833198,0.26715708,0.2683929,0.2555028,0.24105084,0.24008572,0.26250258,0.31057945,0.37392285,0.42950225,0.4532344,0.43701264,0.39581868,0.35502467,0.33202818,0.32757893,0.3323994,0.3372048,0.33860168,0.33749494,0.33702314,0.34002972,0.34943542,0.365508,0.3849419,0.39976647,0.40314117,0.39506504,0.3860674,0.3923683,0.42223513,0.46701053,0.5009611,0.5029398,0.46974334,0.42074597,0.3777624,0.35413232,0.34851226,0.3533078,0.35772744,0.3536227,0.33771935,0.31482503,0.29509422,0.28939787,0.30448928,0.33816162,0.37897947,0.4090124,0.41555429,0.39733776,0.36470583,0.32922316,0.2967635,0.26790962,0.2431091,0.22690666,0.22406437,0.23526263,0.25409707,0.27193546,0.28297594,0.28675774,0.2855892,0.28174427,0.27616408,0.26927388,0.26091787,0.25086176,0.23893,0.22670078,0.2186055,0.22076386,0.23795448,0.26844642,0.30394658,0.333401,0.35291204,0.36990297,0.3987031,0.44440714,0.49361005,0.51969403,0.50577927,0.45749378,0.39902917,0.3521656,0.32535776,0.3144803,0.31293476,0.31710365,0.32685924,0.34277558,0.36298016,0.38304725,0.3980607,0.40652296,0.41023907,0.41141114,0.409171,0.40033552,0.38359544,0.3618711,0.34121588,0.3263939,0.31931517,0.3197503,0.32689524,0.33940533,0.35367742,0.36583814,0.37308207,0.37761867,0.3827751,0.39068905,0.39688674,0.3945544,0.37790346,0.3477576,0.30948868,0.27135482,0.2412905,0.2254606,0.22548313,0.23674111,0.2495798,0.25332958,0.24144429,0.21470545,0.18187286,0.15562253,0.14697231,0.15795635,0.18164736,0.20429043,0.21546787,0.21092094,0.19621862,0.18102008,0.17805906,0.19697642,0.24068515,0.2998264,0.35575208,0.39138308,0.40397176,0.40792772,0.4219606,0.45076075,0.47931126,0.48488474,0.4598826,0.4160119,0.37587062,0.3506852,0.33973098,0.33362052,0.3285792,0.32380983,0.32050574,0.3163077,0.31081125,0.3090982,0.3240371,0.36407056,0.42212215,0.4715124,0.48670554,0.4615207,0.41489008,0.37048516,0.34127954,0.325689,0.3182821,0.31510317,0.3151956,0.31753907,0.3218099,0.3273958,0.3350819,0.34693828,0.36418867,0.38367942,0.39456043,0.3860829,0.35372028,0.30581686,0.2553502,0.21356912,0.18363678,0.16482209,0.15689081,0.1620033,0.18072085,0.20733903,0.2309627,0.24215229,0.24004371,0.23277326,0.23075457,0.23886018,0.2535331,0.26670858,0.27086815,0.26188284,0.24034822,0.21295941,0.1931427,0.19460994,0.22220612,0.2661104,0.30767724,0.33430156,0.3493003,0.3714706,0.41443577,0.472603,0.51760393,0.52450955,0.48965144,0.43508363,0.3861182,0.35637608,0.34380612,0.340598,0.33941546,0.3357122,0.3265874,0.31045067,0.2883116,0.2641177,0.24534969,0.23821779,0.24624602,0.2663908,0.29330513,0.3193932,0.3402541,0.35373583,0.36176375,0.36649767,0.36923683,0.36875728,0.3630588,0.35167935,0.33735147,0.32672203,0.32691395,0.3418834,0.36694315,0.39145032,0.40298286,0.39718583,0.377437,0.3536607,0.33290395,0.31770447,0.304418,0.28794137,0.263612,0.22961433,0.18805999,0.14547029,0.11166889,0.095725596,0.10278783,0.13057809,0.1706593,0.21020828,0.2392044,0.25257882,0.25132626,0.23790413,0.2169704,0.19813083,0.19762395,0.23194826,0.30237126,0.38835236,0.45415387,0.47443274,0.44797936,0.39616498,0.3428905,0.30162048,0.27373075,0.25474045,0.24120565,0.23171979,0.22773153,0.23100841,0.243656,0.26621318,0.29611263,0.32618034,0.34714875,0.35451528,0.3543019,0.36201727,0.39119163,0.43981573,0.48626018,0.5036062,0.480866,0.43217325,0.3837589,0.353222,0.34099615,0.33757785,0.3359051,0.33409798,0.33343318,0.33303154,0.33251226,0.3331345,0.34085312,0.35945383,0.38694105,0.41195393,0.42369488,0.41742277,0.39983416,0.38054904,0.3679576,0.36253548,0.359995,0.35323218,0.33830953,0.31655502,0.29354605,0.2756011,0.26490065,0.25975266,0.25625244,0.25329348,0.25288603,0.258019,0.2683437,0.2794402,0.28512427,0.2813581,0.26864168,0.25206134,0.23840304,0.2316795,0.23105605,0.23187399,0.23244023,0.23808546,0.2641211,0.323531,0.414811,0.5100785,0.5721397,0.57684165,0.53368646,0.4729546,0.42371523,0.39468884,0.37798038,0.36154747,0.33953688,0.31382987,0.28952786,0.27220213,0.26716092,0.28249693,0.3244767,0.39114013,0.46211657,0.50953937,0.512097,0.47567663,0.4230083,0.3805332,0.35595104,0.3435609,0.3302307,0.3101445,0.28341183,0.25572047,0.23179962,0.21438046,0.20290834,0.19664949,0.19737351,0.20849697,0.23098533,0.2593143,0.28505066,0.30205825,0.31055605,0.31374022,0.31424668,0.31155717,0.3027739,0.28300866,0.24840687,0.1995424,0.14521632,0.09951738,0.07663246,0.0840712,0.119445205,0.17022578,0.2181326,0.24882363,0.2580404,0.2511999,0.23568344,0.21796195,0.20502394,0.20453627,0.21925493,0.2417872,0.25944546,0.2634352,0.25509295,0.24186523,0.23150106,0.22818743,0.23261543,0.24261582,0.25412133,0.26297137,0.2658957,0.2599956,0.241984,0.20981002,0.16587667,0.118238084,0.07775197,0.05412981,0.053116817,0.07604048,0.118324704,0.16995077,0.2172931,0.24979548,0.26356995,0.26295248,0.2552229,0.24689297,0.2405629,0.23634832,0.23327936,0.23000123,0.22515018,0.21802853,0.21024044,0.20486921,0.20396425,0.20675753,0.21052437,0.21371698,0.21657246,0.21980412,0.22167456,0.2185514,0.20841654,0.19505697,0.18678474,0.1902023,0.20412098,0.22114754,0.23379248,0.23984975,0.24105169,0.23991354,0.23745815,0.23425777,0.23092072,0.22752051,0.22225063,0.21264432,0.19866689,0.18527295,0.18002404,0.18706901,0.2025606,0.21639855,0.21948646,0.21150571,0.20375836,0.21653812,0.2664424,0.35383868,0.45342794,0.52970505,0.55748343,0.5417798,0.5060639,0.47456586,0.45430878,0.4408108,0.42657533,0.410062,0.392617,0.37565303,0.35921025,0.34601298,0.34619284,0.3705487,0.4237461,0.48893976,0.541445,0.5564503,0.5354411,0.49314702,0.45265236,0.4206451,0.39609823,0.3728031,0.35314086,0.3413709,0.33994305,0.344824,0.3521345,0.36530986,0.3926816,0.43920538,0.49353933,0.5344327,0.54186463,0.51460946,0.46836075,0.42359588,0.39104998,0.3668768,0.34408256,0.3197699,0.30068123,0.2925193,0.2971227,0.31052554,0.3335478,0.3705518,0.42445597,0.48353314,0.52656347,0.535912,0.5136344,0.4775355,0.44617924,0.42520678,0.40854183,0.38892785,0.36603335,0.34522006,0.33174455,0.32741556,0.33286223,0.35214937,0.38951448,0.44377527,0.49899808,0.53455573,0.5353957,0.50793236,0.4695271,0.43802884,0.41630897,0.39878675,0.37834597,0.35566995,0.3355385,0.32223198,0.31414065,0.30609962,0.29342434,0.275744,0.25529963,0.23339814,0.20911421,0.1818415,0.15418781,0.13148929,0.118599124,0.1182248,0.13058616,0.15431124,0.1847891,0.21438481,0.23461233,0.24105595,0.23575582,0.22487581,0.21452366,0.20748645,0.20436697,0.2045512,0.20715453,0.20987815,0.20983113,0.2056644,0.19966544,0.19709463,0.20202576,0.21464336,0.23061448,0.24492502,0.2538217,0.25687754,0.2550273,0.24976258,0.24081105,0.22743641,0.20952094,0.1892596,0.1692877,0.15091991,0.13339855,0.11649009,0.10316581,0.099700086,0.11224306,0.14099205,0.18063998,0.22520323,0.2768363,0.340499,0.41284528,0.47382066,0.49945047,0.4832835,0.4426134,0.4057856,0.38809642,0.38737246,0.39000523,0.3870435,0.37761888,0.36694694,0.35907844,0.35429943,0.35071695,0.34711733,0.34440124,0.3438034,0.3457668,0.34933665,0.35384953,0.35838476,0.361625,0.36097994,0.35563532,0.3479351,0.34290528,0.3435746,0.3489163,0.35501412,0.35980082,0.36480072,0.37434843,0.38925734,0.40471384,0.4106181,0.40116516,0.37831494,0.35172388,0.32978654,0.3161813,0.30921373,0.3057938,0.30292332,0.29895523,0.29319596,0.28571025,0.2760335,0.26348314,0.248641,0.23532826,0.22879297,0.23160236,0.24009962,0.24750264,0.24861743,0.2438281,0.23617707,0.23011793,0.22994383,0.2416635,0.26878843,0.3088322,0.3515594,0.3872316,0.41506574,0.4446225,0.4827758,0.52166885,0.5394658,0.5202317,0.469031,0.40976986,0.36501074,0.3413726,0.3307415,0.32133356,0.30719706,0.2884769,0.26890528,0.25166032,0.2413804,0.24626191,0.2783219,0.3405993,0.41710135,0.47458896,0.48776045,0.45790693,0.4112465,0.3743795,0.356845,0.35225537,0.35087648,0.34776315,0.341754,0.3323072,0.31948867,0.30635515,0.29988363,0.30699047,0.32770824,0.35289356,0.36945137,0.3707075,0.3601657,0.3469229,0.3374958,0.33179498,0.32590827,0.3160633,0.30282053,0.29070187,0.28509852,0.28676328,0.2891344,0.28201267,0.26004237,0.2291957,0.2043506,0.19760746,0.20847814,0.22294067,0.22459917,0.20523036,0.1707627,0.13699101,0.12295109,0.14071195,0.18908978,0.25195315,0.3083559,0.3468931,0.37423542,0.40694848,0.45193377,0.4959414,0.51398164,0.49322557,0.44358656,0.38982108,0.35069397,0.33037436,0.32284388,0.32152244,0.3234098,0.3276584,0.33343038,0.33823612,0.33901837,0.33487007,0.32943052,0.32825902,0.3339984,0.34316993,0.3504696,0.35284832,0.35204768,0.350855,0.35134515,0.35339484,0.35542616,0.3552852,0.35150918,0.34551165,0.34084162,0.3422357,0.352648,0.37081143,0.3901305,0.40035507,0.395218,0.37598372,0.35153088,0.32942438,0.31254527,0.29850754,0.2853594,0.27302185,0.26317456,0.25597218,0.24862532,0.23647295,0.21692772,0.19310878,0.17214708,0.1601277,0.15722616,0.15892197,0.15991957,0.15733095,0.15045877,0.13953061,0.12819456,0.12657827,0.15220149,0.21558578,0.30602968,0.3862716,0.41905448,0.394146,0.33903256,0.29222083,0.27544594,0.28249916,0.2953085,0.3007352,0.29755056,0.28982416,0.28183463,0.2764554,0.27820948,0.28982392,0.30923674,0.32592127,0.32990804,0.3198144,0.310112,0.32209674,0.36664686,0.43003356,0.47816142,0.4828337,0.4424366,0.3819193,0.3294779,0.29792997,0.2838281,0.27873993,0.2787088,0.283901,0.2944273,0.30713978,0.31804645,0.32600445,0.3347918,0.3477188,0.36377028,0.3752934,0.37616372,0.3651812,0.3489091,0.33428597,0.32586622,0.3225012,0.32065472,0.31655243,0.3094109,0.30107126,0.2941176,0.28934082,0.2859573,0.28335735,0.2823023,0.2837564,0.2871883,0.29076216,0.29278108,0.29295453,0.29097024,0.28615817,0.27806112,0.26975092,0.26683602,0.27438906,0.29133022,0.31182325,0.3317301,0.35556075,0.39372227,0.4467597,0.49819532,0.51980954,0.49930167,0.44677067,0.38997376,0.34761897,0.3252355,0.31582162,0.31230775,0.30880812,0.3031546,0.2955285,0.2884709,0.283852,0.28194264,0.2815015,0.28194585,0.28350985,0.2863616,0.2895172,0.2910609,0.2900186,0.28659818,0.2821894,0.2776043,0.27332267,0.26947984,0.26655135,0.26486218,0.26420698,0.26381126,0.26324776,0.26285514,0.26383245,0.26665163,0.27087057,0.27479622,0.27720428,0.2776338,0.27681994,0.27567038,0.27488813,0.2745225,0.27412567,0.2727114,0.26930082,0.26355943,0.25630304,0.24927409,0.24403937,0.24170013,0.24221659,0.24494283,0.2481143,0.25022647,0.25055355,0.24967617,0.24758084,0.24277306,0.23404463,0.22374721,0.21900515,0.22602423,0.24469702,0.2665471,0.28276595,0.29033932,0.2937101,0.29772016,0.30328444,0.30761352,0.30865523,0.3069762,0.30464637,0.30314934,0.30288103,0.30356228,0.30464005,0.30500972,0.3032607,0.2987083,0.2925258,0.28750947,0.2856426,0.28635344,0.2869346,0.28562,0.28322744,0.2818108,0.2822753,0.28315932,0.28278112,0.2802336,0.27646402,0.27228442,0.26813906,0.26285616,0.25474766,0.24239574,0.2262324,0.20921181,0.19589467,0.19130905,0.19832712,0.21632242,0.24022138,0.26245514,0.276734,0.28069505,0.2771665,0.27067596,0.26492706,0.2588633,0.24785702,0.22640699,0.19382274,0.1564211,0.12505418,0.10948581,0.11331772,0.13338323,0.16149245,0.18880558,0.20896731,0.22065073,0.22643493,0.23098974,0.23770936,0.24782586,0.2600138,0.27237976,0.2833179,0.29191825,0.29705298,0.2965699,0.2884159,0.27233282,0.25241762,0.23539145,0.22728102,0.2287883,0.23570009,0.24195953,0.2439468,0.2415929,0.2372142,0.23342307,0.23182018,0.23301749,0.23698638,0.243481,0.25133124,0.258521,0.2628639,0.26379287,0.2621325,0.2584239,0.25141662,0.23922324,0.2218852,0.2021147,0.18381774,0.17003542,0.16256416,0.1623614,0.16930534,0.1816833,0.1961072,0.20908546,0.218219,0.22314905,0.22482027,0.22481,0.22412859,0.22295976,0.22086775,0.21751787,0.21314715,0.20823228,0.20322661,0.19836317,0.19385737,0.18985657,0.18614483,0.18253487,0.17908788,0.17648102,0.17498685,0.17412537,0.17283271,0.17058404,0.16778731,0.16502358,0.16247927,0.15982336,0.15714093,0.15486257,0.15350224,0.15300429,0.15303741,0.15324283,0.1534701,0.15360366,0.15365697,0.15381749,0.15442641,0.15578678,0.15797311,0.16093266,0.16447444,0.16844146,0.17262284,0.17674418,0.18049055,0.18367767,0.1865282,0.18955839,0.1931715,0.19737498,0.20176141,0.20597911,0.20990993,0.21368021,0.21766396,0.22204089,0.22697087,0.23193675,0.2380736,0.2502611,0.27812028,0.32737756,0.38869846,0.43705162,0.44862446,0.42442727,0.3884096,0.3689189,0.36974177,0.37492207,0.36094263,0.32143348,0.26432535,0.20767826,0.16645327,0.15374802,0.17964138,0.24631731,0.3363775,0.41401657,0.44461694,0.42060152,0.36385953,0.3069784,0.2688025,0.25078264,0.24511552,0.24524237,0.2474351,0.24962592,0.25046512,0.2492308,0.24562764,0.23913325,0.22903894,0.21474315,0.19702719,0.18201613,0.18350214,0.21908522,0.29330048,0.3872068,0.46307468,0.49345872,0.4783993,0.44359508,0.41467348,0.40275177,0.40360224,0.4083873,0.40956008,0.40176976,0.38308522,0.35559377,0.32647714,0.30412534,0.29611933,0.3047945,0.32754412,0.3557402,0.3807702,0.39644778,0.4030725,0.40382752,0.4032741,0.40373185,0.4054359,0.40694156,0.40699217,0.4053831,0.40281022,0.4007242,0.4016794,0.4083786,0.4203082,0.43127784,0.43129405,0.4140388,0.38126823,0.34224513,0.3068668,0.2813878,0.26707032,0.26214743,0.2635649,0.26800546,0.27255297,0.27496397,0.27427056,0.2710054,0.26704392,0.26432386,0.26345944,0.26338887,0.26256526,0.26079604,0.2592791,0.25962853,0.26299155,0.27103984,0.2865232,0.31061837,0.34006807,0.3664762,0.38303527,0.39066076,0.40012774,0.42352653,0.46145764,0.4984217,0.51119334,0.4897569,0.44459513,0.40017164,0.3736044,0.36703846,0.37113437,0.3773732,0.38193035,0.38322207,0.37747654,0.3611373,0.33828023,0.32523564,0.34171334,0.39150187,0.45278606,0.49100962,0.4881177,0.45470572,0.41844591,0.398258,0.3954498,0.39941898,0.4004906,0.3934777,0.3777149,0.35444823,0.32805395,0.30542365,0.29566965,0.30374864,0.32626215,0.34953585,0.35908425,0.34820583,0.32272816,0.29398134,0.27128553,0.25767633,0.25218135,0.25260437,0.2565361,0.26099384,0.26326433,0.26269105,0.261158,0.26100886,0.2626411,0.26447475,0.265016,0.26426902,0.26292673,0.26099613,0.25792295,0.25407913,0.2520307,0.2560325,0.27023253,0.29537147,0.32703766,0.35626695,0.37628663,0.3881898,0.40310732,0.43096137,0.4694759,0.5000692,0.50386596,0.47791994,0.43836054,0.40482283,0.3856119,0.3773667,0.37366998,0.37202215,0.37205565,0.3731189,0.37252748,0.36819926,0.36017725,0.3527021,0.35134712,0.35975325,0.3756443,0.39300027,0.4049609,0.40817094,0.40218088,0.3901453,0.37644437,0.3660008,0.36087528,0.3599727,0.35988477,0.3573782,0.35293403,0.3508807,0.35886443,0.3782127,0.40185043,0.4137573,0.4042827,0.37410626,0.33589318,0.30094278,0.27570906,0.2596055,0.2506933,0.2464097,0.2447912,0.24392794,0.24327254,0.24347357,0.24582951,0.25056645,0.25650537,0.26141587,0.26359844,0.26275554,0.2600684,0.25703478,0.25462365,0.25325334,0.25641736,0.27140176,0.30846623,0.36586282,0.4260644,0.45632622,0.4370941,0.3712585,0.28632474,0.20840554,0.1523122,0.117290765,0.09731883,0.08575428,0.07831531,0.07280318,0.07045108,0.07581625,0.09643128,0.13353704,0.17872898,0.2119541,0.22008461,0.20715879,0.2005638,0.2301385,0.30457878,0.39933455,0.47028986,0.48867247,0.4565666,0.40310988,0.35549724,0.32682645,0.31457987,0.31185597,0.31250608,0.31271037,0.3110772,0.30884162,0.3104138,0.3215936,0.34551004,0.37730393,0.40342537,0.40754268,0.3816398,0.3305023,0.26917154,0.21297021,0.17270972,0.15308131,0.15479152,0.17425768,0.2034214,0.23219173,0.2528015,0.26347557,0.26685607,0.26664102,0.2645463,0.26107284,0.2567831,0.2531143,0.25129247,0.25107613,0.25058094,0.24747457,0.24190623,0.237952,0.2415591,0.25519574,0.27418312,0.29191065,0.3082321,0.33401462,0.37865293,0.43637612,0.48262587,0.49452627,0.46918496,0.42624012,0.3880838,0.36502674,0.35349074,0.3468205,0.34059837,0.33352125,0.3235127,0.3086243,0.288348,0.26659867,0.2517153,0.25182584,0.27013502,0.3002669,0.33211955,0.356578,0.37155914,0.3786588,0.38126883,0.3822844,0.38444528,0.3893334,0.39628875,0.40237078,0.40425232,0.40107498,0.39603785,0.39579618,0.4030883,0.4137497,0.4149631,0.39851773,0.36498275,0.32689282,0.29543474,0.27638987,0.2670884,0.2635488,0.2619294,0.2606164,0.25861266,0.25652155,0.25542524,0.25648156,0.25957644,0.26349652,0.26618847,0.26603016,0.26266497,0.25783375,0.25385535,0.25232542,0.25308004,0.25593987,0.26227435,0.2745988,0.29427615,0.3184081,0.3413285,0.35879746,0.37446392,0.39868462,0.4384489,0.4856372,0.5179457,0.51664954,0.48320305,0.4379929,0.40286985,0.38597092,0.38288116,0.3845758,0.3847848,0.3790172,0.36463937,0.34115994,0.31489086,0.29965296,0.3127428,0.3589078,0.42163873,0.4671969,0.47233382,0.43991172,0.39662516,0.36613944,0.35481,0.35271284,0.34909984,0.3394613,0.32481042,0.3060616,0.28447434,0.26477423,0.2571663,0.27168882,0.30753314,0.34982815,0.3759574,0.37365028,0.34657916,0.3115797,0.2821777,0.2637541,0.25344166,0.24821894,0.24649523,0.24754448,0.2494437,0.24973579,0.24778052,0.24500327,0.24367213,0.24435084,0.24606596,0.2473674,0.24776936,0.24781829,0.2484011,0.25039396,0.25449678,0.26232156,0.2765552,0.29907417,0.32743248,0.353574,0.36952993,0.37570688,0.38385817,0.40793237,0.44836763,0.4877951,0.5019426,0.48200247,0.4397696,0.39869013,0.37362185,0.36627296,0.3690293,0.37494203,0.38008294,0.38345802,0.38506675,0.38493493,0.382678,0.378152,0.3733063,0.37189674,0.37658045,0.3857272,0.393958,0.3964479,0.39226425,0.38433328,0.3766171,0.3715782,0.36949205,0.36900374,0.3680863,0.36568284,0.36288914,0.36387506,0.37321484,0.390481,0.40800568,0.4132235,0.4001962,0.37269855,0.34364164,0.32248625,0.31208977,0.30824694,0.30682206,0.30552563,0.30401683,0.30214068,0.29982874,0.29703513,0.2941574,0.29160395,0.29001632,0.28832564,0.28369763,0.2726645,0.25530878,0.23605923,0.22094588,0.21234976,0.21072204,0.21884018,0.2467233,0.29888883,0.36382875,0.4091219,0.40759373,0.35753465,0.28867158,0.23541379,0.21483459,0.21988575,0.23417817,0.2450191,0.24893059,0.24720919,0.2437525,0.24301516,0.25107703,0.26998368,0.29546067,0.3157566,0.32160795,0.31431127,0.30929115,0.3273362,0.3763795,0.44172642,0.4895042,0.49493757,0.45893893,0.4085964,0.37075627,0.35541108,0.35477343,0.3568069,0.3554183,0.3509874,0.34677827,0.34402037,0.3426113,0.34265903,0.3481743,0.3603187,0.3754976,0.3810521,0.36993012,0.34204483,0.308897,0.2790377,0.25813115,0.2453528,0.23994596,0.23961563,0.24211077,0.24445774,0.24518208,0.24432464,0.24348585,0.24376857,0.24537571,0.24707527,0.24798054,0.24771106,0.2471558,0.24712884,0.24799274,0.24860527,0.247406,0.24380378,0.23933499,0.2363466,0.23578875,0.23725277,0.2428174,0.2611098,0.30427322,0.37600192,0.46021464,0.52587515,0.5471447,0.5239157,0.47910428,0.4408797,0.42159995,0.41699848,0.41431442,0.40559903,0.39035144,0.37363398,0.36029336,0.35362804,0.35761437,0.37851372,0.42116085,0.4794251,0.53370327,0.55842876,0.54131705,0.49124923,0.43372193,0.39024818,0.36780515,0.3582205,0.350831,0.3400483,0.32727984,0.3162109,0.30889514,0.30422318,0.29868338,0.2890999,0.27505845,0.2600082,0.24870408,0.24394472,0.2449633,0.24893814,0.25353387,0.25760415,0.26117977,0.264097,0.26654992,0.26827022,0.26923457,0.26826128,0.26379782,0.25430286,0.24041617,0.22529389,0.21305914,0.20654611,0.20551427,0.20819704,0.21234429,0.21722251,0.22244741,0.22806883,0.23315577,0.23698105,0.23871289,0.23842156,0.23613483,0.23257752,0.22879581,0.22648354,0.22647703,0.22861564,0.23194762,0.2361651,0.2410748,0.24596357,0.24909322,0.2495786,0.24836892,0.2478076,0.24909432,0.25121507,0.2518278,0.24922012,0.24324425,0.23462732,0.22454597,0.21411084,0.2048978,0.19817717,0.19487341,0.19478868,0.19719414,0.20079428,0.2040341,0.20457298,0.19936728,0.18540747,0.16206743,0.13320728,0.107790165,0.095983095,0.103889145,0.12870373,0.16072322,0.18838054,0.20526214,0.21149242,0.21194017,0.21156143,0.2128944,0.21587099,0.21921635,0.22202557,0.22390503,0.22493386,0.22531603,0.22541894,0.22567284,0.22611868,0.22687851,0.22832309,0.23160045,0.23739193,0.245243,0.25306818,0.25859293,0.26053643,0.25923857,0.25564417,0.25038496,0.24383312,0.23699607,0.23371114,0.24115713,0.27015504,0.32718143,0.40748486,0.4894898,0.5466881,0.5628645,0.54264504,0.5049508,0.4669865,0.4366679,0.41203249,0.39132312,0.37423456,0.36272636,0.35631046,0.35352746,0.35585606,0.3707777,0.40687093,0.46294835,0.521193,0.55693954,0.5549203,0.52144414,0.47506595,0.43243518,0.39833486,0.37093437,0.34898993,0.33399847,0.32746744,0.32828057,0.3359828,0.35338524,0.38747358,0.44062796,0.5024905,0.549464,0.560189,0.5328544,0.48630276,0.44455287,0.4172674,0.40032855,0.38438347,0.36801288,0.3534551,0.34435865,0.33999965,0.34121183,0.35178876,0.37909093,0.426049,0.48204616,0.52487165,0.53296924,0.50583804,0.4618312,0.42529586,0.4037933,0.391168,0.37625214,0.357928,0.34082386,0.33090055,0.32896695,0.33489653,0.35049105,0.38028273,0.42472252,0.47294807,0.50557333,0.5066489,0.47896555,0.439193,0.40655074,0.38526037,0.3710073,0.35519186,0.33702493,0.3168083,0.29728833,0.278109,0.26084492,0.24686879,0.23841584,0.23442072,0.2303312,0.21908261,0.19598877,0.16201153,0.12383934,0.09008515,0.06727501,0.058527563,0.06452029,0.08577004,0.12227995,0.17217119,0.2288091,0.2817699,0.32056734,0.3396434,0.33980647,0.32550633,0.30205277,0.2741535,0.24637139,0.22182949,0.20172887,0.18563783,0.17395212,0.16855057,0.17214783,0.18633616,0.20978267,0.23745394,0.26100376,0.27334473,0.27281168,0.26474026,0.25616655,0.25042823,0.24616295,0.24138413,0.23663533,0.23343982,0.23116894,0.22631137,0.21640573,0.20368582,0.19607866,0.20199645,0.22693007,0.27158916,0.33541223,0.41180968,0.48544693,0.5320304,0.5363886,0.5035122,0.4574549,0.4203283,0.39960024,0.38908574,0.38123253,0.37367728,0.3686255,0.3677548,0.3706776,0.37450528,0.37637082,0.3750061,0.37206313,0.37133443,0.37516823,0.38323793,0.39231148,0.3996862,0.40370873,0.40431425,0.4020677,0.39800838,0.39264974,0.385537,0.3761281,0.36538038,0.35706782,0.35648736,0.3683145,0.39011788,0.4117765,0.4173547,0.39882874,0.3594552,0.3141904,0.27609175,0.2528526,0.24400376,0.24684161,0.25688845,0.26934597,0.27900007,0.28214774,0.27899832,0.27243936,0.266858,0.26385126,0.26397553,0.2656401,0.26860645,0.27159527,0.27428326,0.27553618,0.27640322,0.2797505,0.2907749,0.31250224,0.34310853,0.37440142,0.3982111,0.4126446,0.42645845,0.45095053,0.4875021,0.52077484,0.5285035,0.50148284,0.4519004,0.40440843,0.37622645,0.36909044,0.3740878,0.38245118,0.3903785,0.39696804,0.40075985,0.39984354,0.39637396,0.39976275,0.42025828,0.45615873,0.48845616,0.49372306,0.46520853,0.4181975,0.37600446,0.35056242,0.33976892,0.3361328,0.33595166,0.33866534,0.34380826,0.3489429,0.35284674,0.356576,0.36490425,0.379513,0.39690253,0.4059572,0.39900577,0.3760376,0.34722337,0.32236955,0.30652928,0.29789743,0.29309547,0.28962985,0.28776595,0.28871313,0.29308167,0.29898807,0.30360058,0.30510768,0.30442807,0.30401862,0.30594233,0.31033662,0.31543386,0.31899765,0.32006952,0.31985244,0.32102907,0.32672417,0.33917865,0.3585923,0.3811343,0.40045652,0.41251278,0.4220843,0.44128704,0.47765207,0.52171326,0.5484011,0.5370273,0.48925686,0.4281789,0.37864208,0.35107931,0.34170485,0.34256116,0.34802154,0.3546482,0.3591038,0.35892987,0.35351658,0.34529677,0.33942756,0.3416659,0.35425654,0.3722745,0.38630903,0.38923478,0.38204512,0.37213778,0.36689997,0.3691572,0.37666926,0.38550654,0.3914852,0.39253917,0.3879384,0.38088432,0.3763926,0.38149592,0.39651725,0.4143765,0.41949633,0.4023919,0.3641803,0.31983617,0.28462803,0.26819992,0.26935998,0.28210238,0.29850468,0.31315684,0.32252467,0.3260984,0.32482302,0.32171562,0.31945458,0.31925556,0.3189975,0.3154284,0.30735794,0.29799435,0.29279885,0.29538336,0.305359,0.32196343,0.34816822,0.39025342,0.44585964,0.49733683,0.51696104,0.49120697,0.43244192,0.3717052,0.33307445,0.32100236,0.32471904,0.33202824,0.33709612,0.3391346,0.33942923,0.33963963,0.3426969,0.3525777,0.36987922,0.39050317,0.40506005,0.40872392,0.40461138,0.4062295,0.4261671,0.4637502,0.5008342,0.5107645,0.48299745,0.4284979,0.37464848,0.3394623,0.32619622,0.32511708,0.32727233,0.328282,0.32763532,0.32622728,0.32517898,0.32705018,0.33512726,0.35096684,0.3710431,0.38590086,0.3860028,0.36856452,0.34047404,0.31273863,0.29308224,0.28323308,0.281103,0.28475928,0.291643,0.29875302,0.30160174,0.29887173,0.29143858,0.28295204,0.27447578,0.2655506,0.2533335,0.2359851,0.21284111,0.18560354,0.1577993,0.1338219,0.118499555,0.11604599,0.12994754,0.15996777,0.2006657,0.24106033,0.27214825,0.29452673,0.32172057,0.36716142,0.4280204,0.48002622,0.49641928,0.47137687,0.42456135,0.3825862,0.35833976,0.34826043,0.3432635,0.3385847,0.33523133,0.33539164,0.3394678,0.34441254,0.3468676,0.3463337,0.3468351,0.35325623,0.36615482,0.38118652,0.39241898,0.3971882,0.39637348,0.392832,0.38904583,0.38607273,0.38359562,0.3806921,0.3771188,0.3733919,0.37103233,0.37198207,0.3792906,0.39213276,0.404718,0.40443814,0.38420823,0.34602833,0.30396405,0.26963177,0.24784215,0.23424135,0.22551991,0.22151417,0.2242651,0.23196705,0.23926783,0.24147786,0.23839915,0.2334903,0.22921437,0.22525829,0.2188441,0.20747389,0.18991941,0.167297,0.143278,0.12420214,0.11771796,0.13121091,0.16727145,0.22142504,0.28027365,0.32941723,0.36167789,0.38481763,0.41519794,0.4612585,0.51050663,0.53384644,0.51148903,0.45054674,0.38096604,0.3302456,0.30684015,0.3029178,0.307066,0.31265303,0.3166251,0.3170583,0.3127349,0.3070035,0.3101039,0.33566937,0.38682234,0.44751215,0.487684,0.48794794,0.45342937,0.40868297,0.37448418,0.356287,0.34807977,0.34363577,0.341112,0.3403946,0.34074703,0.34094164,0.34159243,0.34570768,0.3562158,0.37116015,0.3818351,0.3770523,0.35254863,0.314796,0.277023,0.2486493,0.2311905,0.22041206,0.21338682,0.20991726,0.21077268,0.2136451,0.2149326,0.21213293,0.20685875,0.20203613,0.19934921,0.19705917,0.19159062,0.1801976,0.1627265,0.14214632,0.12278801,0.110063575,0.110273845,0.13046992,0.17380852,0.23415883,0.29541633,0.34165147,0.37007204,0.39525163,0.434657,0.48839378,0.5327604,0.5386599,0.4982573,0.43149352,0.36939394,0.32985175,0.31279886,0.30865684,0.3102783,0.31454328,0.31962785,0.3228192,0.32104874,0.3137591,0.303479,0.296124,0.29639468,0.30553493,0.31950128,0.33364558,0.34516755,0.35458934,0.36260787,0.3690791,0.3727263,0.37289974,0.36974072,0.36390904,0.35603502,0.34782383,0.34316596,0.34766135,0.36254716,0.38124564,0.3886403,0.37358686,0.33551642,0.28810653,0.24629943,0.21903355,0.20474088,0.19836186,0.19593573,0.19629566,0.19886804,0.2012407,0.20091438,0.19642222,0.18966568,0.18286824,0.17750053,0.17191058,0.16389352,0.15192747,0.1371175,0.12182769,0.1088107,0.10341424,0.11622411,0.1625418,0.24566178,0.34464327,0.41445255,0.42010942,0.36187765,0.27850854,0.21218516,0.18248014,0.18064804,0.18945163,0.1969799,0.20120938,0.20337187,0.20590954,0.21108907,0.2235883,0.24583988,0.27509296,0.29984167,0.30836058,0.299274,0.28896776,0.30394617,0.3578457,0.43658933,0.5006389,0.51782113,0.48490575,0.42953816,0.38182402,0.35526684,0.34497142,0.3411834,0.3388512,0.33737674,0.337858,0.34005132,0.34492585,0.3543607,0.3712617,0.39217654,0.4073805,0.40372407,0.37793124,0.33788395,0.29889372,0.27048287,0.25434276,0.24582241,0.24090613,0.23719054,0.23436862,0.23220594,0.23086579,0.23030488,0.23092216,0.23284781,0.2357847,0.2386509,0.24026383,0.24025406,0.23942803,0.23949511,0.24192451,0.24730875,0.25463668,0.2618161,0.2662199,0.26639673,0.26277325,0.2577019,0.25389075,0.2530866,0.25558165,0.2601821,0.2647343,0.2665327,0.26407233,0.25789762,0.25054175,0.24446446,0.24044478,0.23750599,0.23432265,0.2307365,0.22761263,0.22579008,0.2250913,0.22468364,0.22395092,0.22263952,0.22025315,0.21570097,0.20823187,0.19854541,0.18869303,0.18048733,0.17418776,0.16860592,0.1625465,0.15577121,0.14909823,0.14360255,0.14015974,0.1394947,0.14221539,0.1482424,0.15557563,0.16044472,0.1591423,0.15072946,0.13757406,0.12358572,0.11158637,0.102405995,0.09541429,0.08987525,0.08529905,0.08164107,0.07874643,0.07634795,0.07401339,0.07127365,0.068206824,0.06525758,0.06387035,0.06493806,0.06874416,0.07365676,0.0781239,0.08108544,0.08315465,0.084957145,0.08672777,0.08782762,0.08777582,0.08654224,0.08459211,0.08241711,0.08026156,0.07804648,0.075712174,0.07387787,0.07450259,0.080118544,0.09198796,0.10812557,0.123933084,0.13477285,0.13871515,0.13697706,0.13229854,0.1271023,0.122476585,0.11841333,0.11437846,0.10999616,0.10536938,0.10093484,0.0971379,0.09414351,0.092044376,0.09107182,0.09153863,0.09324927,0.09517583,0.09583952,0.09434164,0.09091254,0.08661163,0.0824474,0.07885961,0.07575151,0.07281393,0.06977125,0.06650085,0.06305147,0.059632715,0.056477975,0.053898633,0.05242099,0.05318837,0.05766675,0.066844106,0.07977012,0.09339735,0.10370335,0.10807836,0.106534,0.10124579,0.094792314,0.08881709,0.08389446,0.079966426,0.07683583,0.07422786,0.07189717,0.06963181,0.067461066,0.06589388,0.06619876,0.069712244,0.07656007,0.08456752,0.09029242,0.09127474,0.08770778,0.08180799,0.075796105,0.07066991,0.06632326,0.062529765,0.05920964,0.056292538,0.053466186,0.050428465,0.047163587,0.043888226,0.04080679,0.038208053,0.036880773,0.038330656,0.04361852,0.052312553,0.061830927,0.069332205,0.07298904,0.07309113,0.070708655,0.067048855,0.06271972,0.058224786,0.054035023,0.050652876,0.048308253,0.046837498,0.045790017,0.044684026,0.04325288,0.041504066,0.039727375,0.038351927,0.03770755,0.037731394,0.037959386,0.037851196,0.037192296,0.036124125,0.03488794,0.03358226,0.03222136,0.030851087,0.029550267,0.028334476,0.027166983,0.026039584,0.025027467,0.024194174,0.02354432,0.022992425,0.022457868,0.02190046,0.021364262,0.020973029,0.020998657,0.02199568,0.024782402,0.03003408,0.037527632,0.045771588,0.05250976,0.05598445,0.05586664,0.05326277,0.049803287,0.04715054,0.04737368,0.054115295,0.07191604,0.103388466,0.14540868,0.18916307,0.22447662,0.24558349,0.25331435,0.25253448,0.24856196,0.24464905,0.24285232,0.2444161,0.2504461,0.26040545,0.2719593,0.2813963,0.28566432,0.2841597,0.27853644,0.27166632,0.26477373,0.25795135,0.25022927,0.24264222,0.23664439,0.23392011,0.23361878,0.23416853,0.2339931,0.23329346,0.23257683,0.2313857,0.22774899,0.21987152,0.20791417,0.1941234,0.18144666,0.1725006,0.16908437,0.17205264,0.18026716,0.19135983,0.20283969,0.2140565,0.22515994,0.2358789,0.24437694,0.24862158,0.24802005,0.24428101,0.2404896,0.23930632,0.24157137,0.24625082,0.25151706,0.25598034,0.2591263,0.2609786,0.26171783,0.2616168,0.26117218,0.26067424,0.25970575,0.2571657,0.25242838,0.24585019,0.23798364,0.22776897,0.21282847,0.19111717,0.16311534,0.13134445,0.099568784,0.071125515,0.0486425,0.032843173,0.02295187,0.017075337,0.013727863,0.011913754,0.011123434,0.01082047,0.010634336,0.0103937825,0.01015444,0.009984914,0.009878934,0.009943738,0.011509485,0.018267209,0.036242116,0.069504134,0.115605414,0.16369724,0.20118998,0.22090667,0.22470802,0.21882363,0.20879154,0.1981027,0.18965508,0.1868997,0.19089253,0.19950622,0.20783234,0.21218018,0.21114694,0.20554955,0.19686337,0.18697183,0.17842759,0.17405824,0.1760453,0.18400441,0.19477572,0.20351881,0.20691656,0.20480452,0.19974606,0.19466126,0.19103944,0.18875127,0.18664463,0.18338358,0.17773789,0.16884911,0.15619786,0.13986947,0.1208579,0.10159785,0.08513699,0.07375481,0.067074135,0.062795095,0.058393087,0.05331258,0.04835027,0.044198632,0.040115487,0.034823097,0.027882671,0.02037314,0.01390811,0.009459833,0.0069129677,0.0056669046,0.0052331686]