[0.16138804,0.16271742,0.16510557,0.16574411,0.16074266,0.14646973,0.12296644,0.09602606,0.07690006,0.078341275,0.10788492,0.16190784,0.22391157,0.2715173,0.2882844,0.27301803,0.23827069,0.2006089,0.1710332,0.15338694,0.14814073,0.15569931,0.17474343,0.20033842,0.22495039,0.24327542,0.25446555,0.25974616,0.2575154,0.24273515,0.21218352,0.16988707,0.12751675,0.097794026,0.08921433,0.102710105,0.13320683,0.17091401,0.20528565,0.2293967,0.2427339,0.25066292,0.25973043,0.27406406,0.2921853,0.3087773,0.31761548,0.3163753,0.30662945,0.29177752,0.27360222,0.2529546,0.23151994,0.21258853,0.19869892,0.18954867,0.18233792,0.17459416,0.16566871,0.1566167,0.14826457,0.14150268,0.13736978,0.13829583,0.14540128,0.1572445,0.16793464,0.17147571,0.1648832,0.15095721,0.1348259,0.12059008,0.109531365,0.10204809,0.10004773,0.10593259,0.1197037,0.1360832,0.14758103,0.14917094,0.14199466,0.13070382,0.11956295,0.11040362,0.10446721,0.10410178,0.111324035,0.12481692,0.13866538,0.14616154,0.14420743,0.13533928,0.12420692,0.11450395,0.107874505,0.106445044,0.11233321,0.12576467,0.14174269,0.15309201,0.154629,0.14738816,0.1359837,0.12689994,0.12747614,0.14879298,0.19981305,0.28040862,0.37134418,0.44375953,0.47163978,0.45092618,0.39692175,0.3366014,0.290776,0.26793718,0.26163933,0.2592269,0.25005463,0.23292391,0.21272801,0.19496329,0.1815971,0.17445312,0.17659159,0.19098848,0.21554805,0.24449593,0.27059767,0.29028776,0.30163208,0.30549693,0.3028743,0.29722044,0.2916942,0.2898549,0.29372922,0.30475453,0.32220268,0.34293637,0.36135876,0.3723319,0.37365854,0.36771345,0.3592569,0.35250318,0.3483692,0.34511128,0.340623,0.33470666,0.3286556,0.32368946,0.31906953,0.3132949,0.30428088,0.29117188,0.27280495,0.24947637,0.22244547,0.19567251,0.1736608,0.16046076,0.15681939,0.16012941,0.16448534,0.16454345,0.15783857,0.14645405,0.13375889,0.12244601,0.11412405,0.11161992,0.118813574,0.13667339,0.1600145,0.17847383,0.18374743,0.17432745,0.15592147,0.13566284,0.1186362,0.10686612,0.10146377,0.102752574,0.10926738,0.11696252,0.1209872,0.118690014,0.11091385,0.10071259,0.09095776,0.08408766,0.08315253,0.092579424,0.11450287,0.1456164,0.1757052,0.19441022,0.19611876,0.18356408,0.16328853,0.14337635,0.13119565,0.13360107,0.15387277,0.18821876,0.2255894,0.25321916,0.26444376,0.26165262,0.2526958,0.24442045,0.23935497,0.2367857,0.23624529,0.23994209,0.25190327,0.27346218,0.29937342,0.3184888,0.3204996,0.3019388,0.2685643,0.23211347,0.20553957,0.19686568,0.20443316,0.21749325,0.22294523,0.21479024,0.19701171,0.17967856,0.17163885,0.17651159,0.19250321,0.21429856,0.2361877,0.25431874,0.2671119,0.2735636,0.27214026,0.26210678,0.24517553,0.22529559,0.20650508,0.19089343,0.17869957,0.16965963,0.16343403,0.15974267,0.1568082,0.15357329,0.14943783,0.14596798,0.14381008,0.14256652,0.14054511,0.13808537,0.14037907,0.15573972,0.18970875,0.23747528,0.28581235,0.32051948,0.33592388,0.33453894,0.3228387,0.30539903,0.2845626,0.26128855,0.23731081,0.21516316,0.197668,0.1861857,0.1804418,0.17889726,0.17988801,0.18162203,0.18299788,0.18481983,0.19100475,0.20563143,0.22849272,0.25164127,0.26442227,0.26021752,0.24165136,0.21587391,0.18950312,0.16575998,0.14855403,0.14367549,0.15596242,0.18302007,0.2151673,0.24072063,0.25296545,0.2503474,0.23396403,0.20608447,0.17411911,0.15256149,0.15799783,0.197392,0.26002803,0.32237414,0.36279258,0.37459707,0.36512983,0.34679565,0.32651404,0.305882,0.2829471,0.2587411,0.2363009,0.22071064,0.21329008,0.21129942,0.20956893,0.20567776,0.20143288,0.19970298,0.20111786,0.20303439,0.202955,0.20021667,0.19633968,0.19272904,0.18989241,0.18722843,0.18362992,0.17799945,0.16992815,0.16025646,0.15090509,0.14332408,0.1377448,0.13273053,0.12742418,0.1219367,0.11772468,0.11540225,0.11434111,0.11324022,0.11199802,0.11317732,0.11992979,0.13362117,0.15055534,0.16502495,0.17198534,0.17106141,0.16499801,0.15951544,0.16184878,0.17963566,0.21538645,0.26181242,0.30206355,0.3197502,0.30960235,0.28179058,0.25322142,0.23626836,0.23246197,0.23726462,0.24763675,0.26544115,0.2922826,0.32438767,0.35211977,0.3675965,0.36890993,0.36022973,0.3473234,0.335573,0.3294548,0.32958245,0.33236384,0.33132252,0.3239975,0.31233755,0.30024895,0.28852117,0.2760172,0.26295063,0.2532827,0.25267717,0.26463738,0.2866855,0.31050754,0.32505324,0.32363224,0.3068485,0.2820101,0.25708008,0.23749913,0.22516342,0.21981734,0.21987678,0.22273736,0.2252502,0.22401299,0.21647294,0.20260264,0.18560457,0.17025672,0.15965262,0.15440083,0.1547091,0.16339178,0.18417643,0.21771075,0.25737464,0.29225576,0.3118346,0.31143042,0.29194692,0.25901222,0.22029269,0.18378484,0.1552635,0.13760199,0.13027805,0.1302704,0.1321848,0.13142306,0.12581034,0.11722982,0.1085866,0.10330988,0.10458627,0.116776966,0.14148094,0.17460455,0.20530248,0.22359222,0.22599427,0.21708237,0.20290305,0.18715477,0.1703753,0.1530086,0.13617395,0.121595286,0.1106022,0.10417209,0.10297195,0.10737485,0.11609631,0.12581678,0.13287614,0.13851191,0.15109019,0.18163168,0.23358731,0.29554904,0.3457016,0.36444402,0.3468894,0.30356142,0.2516964,0.20603682,0.17574078,0.16718276,0.18241747,0.2166282,0.25519875,0.28155574,0.28500316,0.2675038,0.23848349,0.20939396,0.18804657,0.18003857,0.18897517,0.2153682,0.25399014,0.29441062,0.32640818,0.3445425,0.3504727,0.3496666,0.34800765,0.34714654,0.34382686,0.3330534,0.31459102,0.29594156,0.28656575,0.28982177,0.29896256,0.30423924,0.29944986,0.28574434,0.26720327,0.24960656,0.23772043,0.23488165,0.23907231,0.24464287,0.24581526,0.24157727,0.23425758,0.22604193,0.21638139,0.20416719,0.19089615,0.1813642,0.18010546,0.186687,0.19476181,0.19641423,0.1881855,0.17352702,0.15951718,0.15304758,0.15807427,0.17623217,0.20512398,0.23889594,0.26918694,0.29089442,0.30337146,0.30978814,0.31171498,0.30864576,0.2990059,0.28364232,0.26582038,0.24917918,0.23546088,0.22365363,0.21209008,0.19992012,0.18814366,0.17795902,0.17003739,0.16482924,0.16441812,0.17157882,0.1866939,0.20450282,0.21647215,0.21572721,0.20138043,0.17756076,0.15061848,0.12645559,0.10978365,0.10367548,0.10902784,0.12373847,0.14329088,0.1629203,0.17979498,0.19294733,0.2009912,0.20243655,0.1982115,0.19494593,0.20257294,0.2277997,0.26806265,0.3113855,0.34424505,0.3594121,0.35956338,0.3528764,0.3478121,0.3500177,0.36136726,0.37921777,0.3953655,0.39963982,0.3857042,0.35695672,0.32421994,0.2982892,0.28159547,0.26900455,0.25510636,0.24288698,0.24247128,0.26333737,0.30410537,0.35264206,0.39297438,0.4155313,0.41909182,0.40689394,0.3809817,0.3428168,0.2969927,0.2537543,0.22390747,0.21244125,0.2143843,0.21986715,0.21978043,0.21079446,0.19384848,0.17336212,0.15523686,0.14630796,0.15103173,0.16911392,0.1944981,0.21855749,0.2342407,0.23922932,0.23556377,0.22708929,0.21732318,0.20948087,0.20853333,0.22080939,0.24992438,0.29159752,0.33335707,0.36124167,0.36633423,0.34894553,0.31566158,0.27776542,0.24633473,0.23135084,0.23748653,0.26377943,0.30127585,0.33670485,0.35745004,0.35933277,0.348361,0.33667466,0.33397195,0.3409883,0.3509436,0.35556832,0.35280606,0.34513387,0.33564234,0.3225179,0.30246457,0.27378687,0.23941672,0.20469452,0.17718033,0.16577177,0.17858092,0.21659054,0.26992494,0.32106307,0.35460058,0.3644246,0.35425314,0.33140513,0.30270353,0.2722248,0.24408482,0.2216175,0.20747566,0.20008598,0.19618529,0.19240053,0.19036932,0.19320141,0.20280205,0.21353911,0.21682574,0.20566787,0.18221895,0.15535007,0.13680452,0.13497007,0.15258609,0.18528336,0.2228051,0.25385755,0.27236915,0.28037393,0.28371394,0.28622833,0.28768465,0.2871239,0.28476214,0.28097594,0.27388734,0.2610636,0.24166684,0.21753019,0.19091557,0.16500613,0.14516133,0.13942765,0.15314887,0.18372117,0.21976788,0.24851489,0.26376244,0.2690998,0.27273348,0.279809,0.28822947,0.29163912,0.2859974,0.2732629,0.25892487,0.24672966,0.23503734,0.21869953,0.19322388,0.15960215,0.12532207,0.10128975,0.09702566,0.114875615,0.15002717,0.19144057,0.22941236,0.25744602,0.27466086,0.28089413,0.2777023,0.2673386,0.2548729,0.24380869,0.23484771,0.2254104,0.21437259,0.20390229,0.19965704,0.20951264,0.24333529,0.31000552,0.40849265,0.5196998,0.6093338,0.6466849,0.6232264,0.5572812,0.47898725,0.41267356,0.36699772,0.33839467,0.318999,0.30360988,0.29139054,0.283325,0.27923948,0.2769669,0.2745197,0.27131245,0.26886407,0.2704383,0.28171286,0.3071523,0.3444228,0.380597,0.39833835,0.3869942,0.34895527,0.29605007,0.24158192,0.19667007,0.17051493,0.16959853,0.19344665,0.2319894,0.26951286,0.29363003,0.30095208,0.29654604,0.28727922,0.27874765,0.27461103,0.28199506,0.31192037,0.37268052,0.45687446,0.53594476,0.57683927,0.5642168,0.51365024,0.45501867,0.41266575,0.39379486,0.39753926,0.42372486,0.4721178,0.5336649,0.5872527,0.61170346,0.5998368,0.5635803,0.5207993,0.483412,0.45267347,0.42880833,0.414433,0.4139574,0.4241934,0.43542978,0.43563387,0.42063555,0.393854,0.36430702,0.33926925,0.32320163,0.31590292,0.3158696,0.32127544,0.33188418,0.3464761,0.3619611,0.37347886,0.37727323,0.3716124,0.35734734,0.34007576,0.33387852,0.35730585,0.41863537,0.5003472,0.56449914,0.5783508,0.5395314,0.47458813,0.4165388,0.38277957,0.37198308,0.37368762,0.378908,0.38287863,0.3831781,0.37778568,0.36611202,0.35189477,0.34204435,0.34246024,0.35272035,0.3684342,0.38596782,0.40430388,0.42038396,0.42541978,0.41038203,0.37323478,0.32228068,0.26908866,0.22233927,0.18521996,0.15777265,0.13876878,0.12598825,0.11673405,0.109104514,0.10370409,0.10460987,0.1165064,0.14167814,0.17459013,0.20828688,0.24100967,0.28640842,0.35753044,0.45060083,0.5328656,0.5679786,0.54147667,0.4720485,0.39050105,0.32088825,0.27583316,0.26726234,0.30511647,0.3869948,0.48519245,0.5588288,0.57603925,0.53502256,0.45926788,0.38055333,0.32127908,0.29051414,0.28744912,0.3068126,0.33981982,0.375685,0.4036719,0.41798866,0.41731703,0.40255824,0.3732108,0.3310565,0.28474823,0.2505203,0.24422956,0.26853025,0.311143,0.35040092,0.37309077,0.37644556,0.36874595,0.35567132,0.3433641,0.3377999,0.3531148,0.39953205,0.47469077,0.5530896,0.6035798,0.60695463,0.5706827,0.51637644,0.46466073,0.424547,0.39755392,0.38295427,0.3794659,0.38340464,0.38951686,0.39313105,0.39306656,0.39063588,0.38868308,0.3893081,0.39417693,0.4038055,0.41714653,0.42882907,0.43189874,0.42141637,0.40106305,0.3778921,0.35779378,0.3388828,0.31742796,0.2908339,0.26098272,0.23129205,0.20640288,0.19098788,0.18739294,0.19253246,0.19906397,0.20182747,0.20258428,0.20799176,0.22450076,0.25748754,0.3118291,0.3867518,0.46715617,0.5259502,0.5398578,0.5058791,0.44024667,0.36657086,0.30397055,0.26768497,0.26999485,0.31705663,0.39869872,0.48605326,0.5441208,0.5525286,0.51690954,0.46084607,0.40795255,0.3713936,0.35404837,0.35493657,0.36821234,0.3837346,0.38784635,0.37382042,0.3442596,0.30980995,0.2795925,0.25886562,0.24972868,0.25375924,0.2719543,0.30100998,0.33343944,0.35673013,0.36049667,0.33941022,0.29890284,0.25012195,0.20689994,0.18114091,0.18636195,0.23398876,0.32349956,0.43020186,0.5132198,0.5403797,0.5100155,0.44777063,0.38406482,0.33667848,0.30807415,0.29374242,0.28746605,0.28408635,0.2804961,0.27654403,0.27431408,0.27525175,0.27899173,0.28307477,0.2867513,0.2918212,0.30376673,0.32314387,0.3440113,0.35139441,0.33631825,0.29919317,0.25395378,0.21348359,0.18552005,0.16826856,0.15752535,0.14894521,0.14075436,0.13224941,0.12364868,0.11515216,0.108196855,0.10548714,0.111299776,0.12679957,0.15150623,0.18616225,0.24275887,0.33218682,0.44875407,0.55357885,0.6004469,0.5666713,0.47494566,0.37051705,0.29128698,0.25071368,0.2475376,0.28000298,0.345553,0.43137836,0.5097334,0.5535731,0.55419964,0.5264422,0.49329332,0.4699758,0.45947933,0.45881632,0.464299,0.47161797,0.47480682,0.46816924,0.4488763,0.4167789,0.37330243,0.3207178,0.2656945,0.2191751,0.19537348,0.20368004,0.24276586,0.297341,0.34603038,0.37334105,0.37709486,0.36439994,0.34276152,0.31822976,0.3007649,0.3081732,0.35496196,0.43651912,0.5219111,0.57300735,0.5692788,0.52105135,0.45564005,0.39781478,0.35813925,0.33635664,0.32768032,0.32720813,0.3301684,0.33306205,0.33382174,0.3334036,0.33340362,0.3352468,0.33821645,0.34298083,0.35269225,0.37256357,0.4025323,0.43464568,0.4555467,0.45755246,0.44267556,0.4211049,0.40192628,0.3899379,0.38496935,0.3852131,0.38756606,0.38818622,0.38330457,0.37118068,0.35399163,0.3365136,0.32465664,0.32178017,0.32894853,0.34563017,0.37385234,0.41708747,0.47363433,0.52927536,0.56048185,0.5503714,0.5015873,0.4344189,0.37118444,0.32504335,0.30121398,0.3058159,0.34522045,0.4159619,0.49385396,0.5439151,0.5421025,0.49352765,0.4256448,0.36674538,0.33076382,0.31687102,0.32230166,0.34281608,0.37238637,0.3936168,0.3908176,0.35649708,0.3031369,0.24860774,0.20800908,0.18454821,0.17780082,0.18890738,0.21995799,0.2679061,0.31952897,0.35924554,0.37680396,0.3739967,0.3585794,0.33914003,0.32309297,0.320511,0.34465575,0.40147325,0.47872567,0.545003,0.5702004,0.5459272,0.49073663,0.43270603,0.3901999,0.36590424,0.35415792,0.35037267,0.35290837,0.36055824,0.3701662,0.3780839,0.38229325,0.38250852,0.37839556,0.36973202,0.35915878,0.35455546,0.36371985,0.385862,0.40636325,0.40626732,0.3760537,0.32384664,0.268179,0.22512263,0.20066287,0.19193459,0.1946817,0.20653881,0.22733454,0.2541666,0.28168043,0.30377814,0.3187256,0.3284591,0.33651993,0.3456942,0.36001727,0.38771296,0.43589535,0.50185686,0.56405604,0.59488994,0.57724,0.5214648,0.4537191,0.4001523,0.3713816,0.36827278,0.39020887,0.43493196,0.4908029,0.5310605,0.5306693,0.48222613,0.40604523,0.33222553,0.2838036,0.26598254,0.27400005,0.30068457,0.33734286,0.3701842,0.3820037,0.36382726,0.3215455,0.27346948,0.23734759,0.224074,0.235658,0.26827636,0.3120071,0.353578,0.38093176,0.3883576,0.3762535,0.34734622,0.30386615,0.25022268,0.19679756,0.16185878,0.16618742,0.2228175,0.32450655,0.4409696,0.53192335,0.57062274,0.5573244,0.51333624,0.4626697,0.42013285,0.39087823,0.3757106,0.37401155,0.3832728,0.39842722,0.4132321,0.4224156,0.42396173,0.41874877,0.4096123,0.40002203,0.39326742,0.39242542,0.39677063,0.4017793,0.3988742,0.38420722,0.36035213,0.3367312,0.31965163,0.30942884,0.29975715,0.28485867,0.26315466,0.2389992,0.21898866,0.20815809,0.20752878,0.2156866,0.23132963,0.25353694,0.28011942,0.3082849,0.3393955,0.38147116,0.44088712,0.51132816,0.57035196,0.5951794,0.5778317,0.53040606,0.47216693,0.41856745,0.37891886,0.36274108,0.37959337,0.42910516,0.49127865,0.5343028,0.5363247,0.50145775,0.45285213,0.4114026,0.38429105,0.36845437,0.36365458,0.37000617,0.38466954,0.3931222,0.38334695,0.35077402,0.30710515,0.2653238,0.23516105,0.21690251,0.20945299,0.21322958,0.22881424,0.252874,0.27422634,0.28091046,0.26531145,0.2313208,0.18977739,0.15353659,0.13287376,0.1374808,0.18037407,0.2673436,0.38461795,0.4901277,0.54101384,0.5200601,0.45161688,0.37441316,0.31721482,0.28443846,0.2689667,0.26211426,0.25915563,0.25713047,0.25412562,0.24988157,0.24546163,0.24254169,0.24185304,0.24453747,0.25296548,0.27174994,0.30188504,0.33764246,0.36412048,0.36836576,0.34581327,0.3060086,0.2629889,0.22872563,0.2064103,0.19410308,0.18840559,0.18889834,0.19574071,0.20720641,0.21696287,0.21887548,0.21042675,0.19581006,0.18172447,0.1754018,0.1838234,0.2180012,0.28807727,0.3927711,0.5055371,0.5841145,0.5942583,0.5361322,0.44171897,0.35268942,0.29667994,0.2821397,0.3084949,0.3702767,0.4542283,0.5311646,0.56878185,0.54983336,0.48758873,0.41264582,0.3522394,0.31610346,0.3016075,0.3048793,0.3217765,0.34632644,0.36663368,0.37461376,0.367918,0.35313165,0.3366438,0.3239275,0.31714734,0.31883523,0.33004537,0.34986308,0.37333322,0.39356565,0.40396634,0.4008679,0.38413164,0.35633215,0.32449377,0.3003651,0.30218777,0.3441609,0.4267058,0.52427936,0.5980174,0.6141347,0.5686664,0.48483494,0.3987532,0.33552632,0.30223128,0.29053935,0.28730503,0.279314,0.25792515,0.22018157,0.1722508,0.12435923,0.08617411,0.06015781,0.044781465,0.038683716,0.04568122,0.07128814,0.116737224,0.17324841,0.22592811,0.26206744,0.27903488,0.2828379,0.28175166,0.28002182,0.27722254,0.27166155,0.26406276,0.25776255,0.2554433,0.25585964,0.25397322,0.24415733,0.22271806,0.18968958,0.14876473,0.108110584,0.077164,0.06429667,0.07313339,0.1027643,0.14655991,0.19359446,0.23189859,0.2540611,0.2598568,0.25385714,0.2412008,0.22534268,0.20848627,0.19217585,0.17694074,0.16225226,0.14748538,0.13315737,0.12107197,0.1153459,0.123597585,0.15810902,0.22764337,0.32723618,0.43089163,0.5039144,0.5233984,0.49236187,0.4350928,0.37771654,0.33585265,0.3096236,0.29184106,0.27261466,0.24533826,0.20833772,0.1658612,0.12543024,0.09307025,0.070470504,0.056520764,0.053673204,0.07315505,0.13225377,0.23911105,0.37707648,0.50415224,0.5771641,0.57965297,0.5299639,0.46279013,0.40367877,0.36026168,0.32706532,0.29704592,0.2641882,0.22580944,0.18196763,0.13697793,0.09697452,0.06653394,0.046433806,0.03408212,0.026282227,0.020797815,0.017221542,0.017185537,0.024863252,0.046908364,0.087776996,0.14450906,0.20332171,0.24721472,0.26572487,0.26187366,0.24706924,0.23277794,0.22430462,0.22148557,0.22175889,0.22285418,0.22347121,0.22356392,0.22409414,0.22664763,0.23162943,0.23729955,0.24034952,0.23885877,0.23377252,0.22809593,0.22414933,0.22269498,0.22364457,0.22713758,0.23295043,0.23912644,0.2416836,0.23669766,0.22427411,0.21052992,0.20412658,0.20824255,0.21548711,0.21197744,0.18859006,0.1488003,0.10704931,0.07857666,0.071810395,0.08645443,0.11732435,0.15715694,0.19767267,0.23153134,0.25417688,0.26596832,0.26998162,0.26966774,0.26613608,0.25796947,0.24313217,0.2214864,0.19653112,0.17340934,0.15622853,0.14583468,0.14242232,0.1491944,0.1762585,0.23421836,0.32470953,0.42899132,0.5159039,0.556706,0.5452252,0.49696076,0.43912664,0.39220765,0.36357865,0.34751,0.3332391,0.3105458,0.27485004,0.22774243,0.17662068,0.1302744,0.09531043,0.0731263,0.061075404,0.055036183,0.051825654,0.05000044,0.048874363,0.047928914,0.04626381,0.043404054,0.03964466,0.036196176,0.034228705,0.034041837,0.03489394,0.035653885,0.035665642,0.03488548,0.033623163,0.032037344,0.030081144,0.027578948,0.024426572,0.020710362,0.016696827,0.012766714,0.009234025,0.0063388976,0.0042235367,0.0030108609,0.0027402202,0.0033739426,0.004749131,0.00664047,0.008782766,0.010945371,0.012914248,0.014468123,0.015325678,0.015180596,0.013970657,0.012610421,0.013884085,0.022810092,0.04507323,0.084332675,0.13915162,0.20268822,0.26445028,0.3147039,0.34803817,0.3652339,0.3714209,0.37242043,0.37189984,0.37083873,0.3690796,0.3662946,0.3625369,0.3581601,0.35402855,0.35098946,0.34931505,0.34842014,0.34808013,0.34864542,0.351146,0.35588017,0.363181,0.373408,0.3868893,0.40235844,0.41645002,0.4255034,0.4271299,0.42181316,0.41167703,0.39986077,0.388521,0.37834463,0.3686062,0.358827,0.34979796,0.34296063,0.33910465,0.33717534,0.33538485,0.331216,0.32402417,0.315057,0.31022954,0.31532943,0.33296204,0.35709104,0.37799814,0.3869901,0.38200486,0.36618862,0.3468336,0.3327848,0.33156624,0.34432638,0.36471772,0.38276055,0.39174977,0.3909564,0.3840984,0.37608778,0.37150076,0.373844,0.38395175,0.39866439,0.411592,0.41702572,0.41306576,0.40117708,0.38264063,0.35755917,0.3273343,0.29771698,0.27595857,0.2673901,0.27321306,0.29481888,0.3312126,0.37701297,0.41756618,0.43960539,0.43813574,0.42260036,0.40601742,0.3981352,0.40010974,0.4089931,0.42114082,0.43208447,0.4368801,0.4288174,0.4070561,0.37700698,0.3516257,0.34127298,0.34717774,0.36092937,0.37159133,0.37930068,0.39108634,0.41390392,0.43953303,0.45345005,0.44495174,0.41793755,0.38498917,0.35929856,0.35034147,0.36391303,0.4041984,0.4690962,0.5466189,0.61305296,0.6467684,0.6409475,0.61050254,0.57726574,0.55687827,0.5498591,0.5493335,0.5465022,0.5367586,0.5186178,0.49409485,0.46717593,0.44301915,0.42562723,0.41602337,0.41269514,0.4149272,0.42467144,0.44292867,0.4629248,0.46910787,0.44739565,0.39725134,0.33398724,0.27685174,0.23670103,0.21277578,0.19964571,0.19436854,0.19707032,0.20768909,0.22186363,0.23366345,0.2389221,0.23963237,0.24102318,0.24693386,0.2577183,0.27415976,0.30543265,0.36239585,0.44514608,0.52844936,0.57736176,0.56972796,0.51644194,0.4485776,0.3962058,0.37167585,0.37350568,0.3993491,0.4480064,0.51396626,0.5757006,0.60772014,0.59502566,0.5484677,0.4917054,0.44609177,0.4180155,0.4049249,0.40294823,0.40928614,0.41924235,0.42395857,0.41699675,0.39763427,0.37221697,0.34706998,0.32701603,0.3149606,0.3143735,0.32892403,0.35869303,0.3989276,0.43816558,0.4652787,0.47187316,0.45715907,0.42429006,0.38188437,0.3432754,0.32741067,0.35031736,0.41461685,0.5003193,0.5741909,0.60671353,0.5927083,0.5480396,0.498685,0.4607041,0.43894634,0.4285296,0.42458352,0.42306972,0.42223373,0.42079234,0.4188318,0.41728082,0.41704348,0.41743287,0.4171002,0.41538146,0.41442862,0.414614,0.4132154,0.40186277,0.37682018,0.34111404,0.30659485,0.2819855,0.26939157,0.2634205,0.25874653,0.2539538,0.2510538,0.25264552,0.25846648,0.2664254,0.27395344,0.28142914,0.29278708,0.3133551,0.34677318,0.39239314,0.44852266,0.5097997,0.5650952,0.5931472,0.5761921,0.51426417,0.43295738,0.36648607,0.337321,0.346712,0.384016,0.43832755,0.49966422,0.55243087,0.5760035,0.5569934,0.50263125,0.4378852,0.389069,0.3678368,0.36922753,0.3815955,0.39399958,0.40002418,0.39426276,0.3759558,0.34835696,0.32039663,0.29990947,0.29034925,0.28960368,0.29343203,0.30121794,0.3153042,0.3383701,0.36633453,0.3903142,0.40157643,0.3976265,0.381862,0.35962167,0.33809158,0.32718828,0.3412925,0.38856125,0.4613049,0.53078413,0.56629115,0.5550838,0.5128918,0.46697107,0.4361364,0.42157128,0.4148322,0.4092307,0.40335345,0.39918223,0.39770254,0.39862275,0.40051088,0.40284213,0.4056275,0.4099286,0.41600263,0.4234728,0.42873105,0.4268794,0.41287878,0.38797808,0.35885236,0.33548,0.32302943,0.32048598,0.3216643,0.32085535,0.31587806,0.30929026,0.30565813,0.30824205,0.31612945,0.3259044,0.33460712,0.34289932,0.35374022,0.369997,0.3931042,0.4248246,0.46680164,0.5160545,0.5601832,0.5817582,0.5698027,0.52833366,0.47272253,0.41862795,0.37601402,0.35103658,0.35170254,0.38383082,0.44213614,0.50416476,0.54178876,0.54037136,0.50864834,0.4695528,0.44099018,0.4277558,0.42376265,0.42229638,0.41781905,0.40804827,0.391553,0.3708602,0.3496807,0.33265138,0.3213706,0.31629142,0.3168652,0.32351866,0.3369178,0.35659757,0.37966454,0.39961413,0.40991977,0.40682384,0.39277875,0.37378666,0.35702324,0.34923658,0.35799852,0.39107272,0.4484758,0.51618284,0.56714135,0.5794341,0.5503875,0.49929002,0.45010313,0.41695866,0.3991717,0.38889349,0.3792576,0.36819276,0.3578162,0.35092553,0.34845248,0.34822938,0.34819558,0.34797916,0.3501918,0.3564124,0.36751947,0.38145402,0.39603385,0.4068012,0.41131008,0.40884963,0.40289626,0.3967617,0.3928891,0.3914113,0.39174005,0.39246455,0.3918415,0.38848186,0.38271558,0.37652707,0.37254015,0.37186697,0.37368333,0.37610123,0.37923256,0.38819623,0.41245806,0.45788613,0.5156923,0.56151754,0.5700297,0.5350295,0.4728686,0.40933433,0.3614016,0.3355849,0.33391348,0.3613864,0.4168162,0.48685613,0.54285866,0.5617471,0.5373549,0.48781946,0.43595943,0.39897695,0.38024685,0.37870255,0.39121974,0.41467026,0.44133517,0.4623985,0.47088948,0.46669996,0.4525657,0.43174312,0.40521872,0.37524477,0.34653118,0.32611713,0.31972888,0.32837144,0.34745097,0.3684897,0.38417456,0.39115372,0.390865,0.38758543,0.38817048,0.4029944,0.44066906,0.49943748,0.55845714,0.5888991,0.572283,0.5173266,0.4511092,0.40018246,0.37360558,0.36368826,0.3562723,0.34093022,0.31638166,0.28877866,0.26731128,0.25714457,0.2570577,0.26138583,0.26521644,0.2673695,0.26869282,0.2701775,0.2706964,0.26963687,0.26659688,0.2629458,0.2592778,0.25626275,0.25383964,0.25232503,0.25171018,0.25168303,0.25148258,0.25046238,0.24871515,0.2470965,0.24666674,0.24762057,0.24922408,0.24962361,0.24591614,0.23463796,0.21492864,0.19225554,0.1771822,0.1784209,0.19511847,0.21805954,0.23677643,0.24703316,0.25025305,0.25039577,0.25001216,0.25097147,0.2537741,0.2583344,0.2626711,0.26462376,0.26313892,0.259116,0.25473028,0.2514201,0.2504834,0.25237563,0.2576038,0.26487195,0.27235308,0.2783557,0.28350687,0.28920165,0.2959014,0.30069968,0.29842904,0.2832494,0.25287667,0.21146332,0.17185299,0.14998071,0.15639998,0.18788995,0.23058407,0.2686592,0.2938631,0.30621266,0.31232998,0.32294774,0.35174003,0.40569493,0.4753163,0.53263617,0.549674,0.5186881,0.4578993,0.39566183,0.3508409,0.32666424,0.3163794,0.31352222,0.3148537,0.3199618,0.32723606,0.3335934,0.3353109,0.33113384,0.32229578,0.31238648,0.30511898,0.30423263,0.30973879,0.3185017,0.32324615,0.3185881,0.30017617,0.2674214,0.22212924,0.17233352,0.12942499,0.102858454,0.09505078,0.10280203,0.12332953,0.15481867,0.19418754,0.23329835,0.26407456,0.28292334,0.29352626,0.3024604,0.31750044,0.34773836,0.39929655,0.46674427,0.5258617,0.54721427,0.51592475,0.44555804,0.36561418,0.3016131,0.26467356,0.2579821,0.28723982,0.35455358,0.44650546,0.52790236,0.563679,0.54231924,0.4855001,0.42614594,0.38669372,0.3690114,0.36581647,0.36908925,0.37512755,0.38012084,0.38092494,0.37462318,0.3617477,0.3445549,0.32597134,0.30675313,0.28689265,0.26794884,0.25558695,0.25598252,0.27047625,0.29133114,0.30700326,0.30903998,0.2985343,0.28236675,0.26985037,0.26934695,0.29112014,0.34289047,0.42135563,0.503588,0.5564583,0.55711627,0.510118,0.4420203,0.38204804,0.3450072,0.32951948,0.3261926,0.3263121,0.32559672,0.32375288,0.32236132,0.32241353,0.32341138,0.32299736,0.31813386,0.3063409,0.28838548,0.27038434,0.25974712,0.26074752,0.26768795,0.27265516,0.26892498,0.25896806,0.24666119,0.23566811,0.22445403,0.21071394,0.1938768,0.17770381,0.16778083,0.16568309,0.16589315,0.15998043,0.14556086,0.13115539,0.12878487,0.14648728,0.18472145,0.24470766,0.3248347,0.41477284,0.48752546,0.5156803,0.4882804,0.42074874,0.34059283,0.27362338,0.23647763,0.24123509,0.29341698,0.38407668,0.48205402,0.5462019,0.5502459,0.501416,0.43147972,0.37110075,0.33233666,0.31004122,0.29666916,0.28736916,0.28184882,0.27741432,0.27258125,0.26565123,0.25808334,0.25099528,0.24530692,0.24101694,0.23827307,0.2387116,0.24528466,0.259622,0.2779747,0.29008618,0.28570452,0.26178315,0.22580326,0.18840182,0.15987456,0.1503246,0.1771959,0.2529417,0.36944237,0.4849422,0.55128485,0.544959,0.48582426,0.41340804,0.35917318,0.33116958,0.32265773,0.32340744,0.32659528,0.32913363,0.3308573,0.33270007,0.33523527,0.33823988,0.3410509,0.34433356,0.34934708,0.35746098,0.3649633,0.36377028,0.34341738,0.3017705,0.2463877,0.19192402,0.14845799,0.11852372,0.098394535,0.084482044,0.07525789,0.07065899,0.070256405,0.07237402,0.074771516,0.075416595,0.07490329,0.07768479,0.092040055,0.12573986,0.18250866,0.26166427,0.35797998,0.45877138,0.53822964,0.56671625,0.5280766,0.43749937,0.33262768,0.25244492,0.21687043,0.22770236,0.27915812,0.36137748,0.45517597,0.5278554,0.549671,0.5134637,0.44193506,0.3688809,0.3167595,0.288918,0.2772559,0.2737426,0.27201602,0.2670646,0.25314474,0.2285574,0.19614483,0.16302586,0.13459049,0.11301729,0.09873602,0.094521046,0.10682481,0.1391611,0.18730485,0.2356987,0.26848033,0.27635765,0.26367354,0.24069096,0.21993198,0.212047,0.22928004,0.2807858,0.365096,0.46157613,0.53933144,0.573956,0.5635648,0.52495754,0.48057577,0.44466755,0.42090586,0.4063392,0.39692938,0.3900994,0.38485137,0.38111177,0.37933788,0.37941113,0.3803855,0.37962246,0.37548903,0.36846122,0.36351776,0.36414683,0.3694524,0.3710736,0.3631394,0.34564424,0.32517615,0.30482557,0.2830995,0.25759482,0.23260981,0.21756978,0.22009863,0.23834443,0.26226223,0.28022242,0.28738764,0.28697762,0.2862216,0.28866002,0.2940341,0.30343416,0.32830003,0.37981975,0.45474577,0.5226572,0.5484049,0.5151635,0.4385525,0.34743997,0.26636964,0.20942532,0.18939967,0.21960978,0.3009856,0.40825045,0.4952917,0.52410024,0.4909941,0.42640415,0.36898074,0.34008482,0.33867598,0.35187694,0.36711922,0.37630334,0.37520888,0.36330593,0.34395197,0.323499,0.30809823,0.30004594,0.29818675,0.29954413,0.30321106,0.309585,0.31741777,0.3214896,0.31306002,0.28816417,0.25024298,0.21284854,0.18932629,0.18987103,0.21694498,0.27205575,0.35162196,0.4432622,0.5201496,0.55570525,0.5406046,0.49171153,0.4369277,0.3962978,0.37300673,0.36042526,0.35184833,0.34509793,0.34043,0.33800054,0.33695605,0.33687934,0.33781984,0.33944318,0.34018847,0.33874336,0.335744,0.33310673,0.33124694,0.32743403,0.3180469,0.30143377,0.27861896,0.25123012,0.22178312,0.1956325,0.18122858,0.18516646,0.20602427,0.23401888,0.25551108,0.26026586,0.24503708,0.21643002,0.18943298,0.18131827,0.20220838,0.25088367,0.3203119,0.40320078,0.48773566,0.5503773,0.56110126,0.5063122,0.40323582,0.29302394,0.21373911,0.18349892,0.20079999,0.2576296,0.3448175,0.4462204,0.5321596,0.56774646,0.53510684,0.44816753,0.34589946,0.26666406,0.22958897,0.23035379,0.25421667,0.28375527,0.30606332,0.3107121,0.2974371,0.27472487,0.25853613,0.25782534,0.27063486,0.28560254,0.29384702,0.29501906,0.29634798,0.3039404,0.3162416,0.3243146,0.320272,0.30249718,0.2756002,0.24404375,0.21392109,0.19724326,0.21497226,0.2802763,0.3828052,0.48342165,0.54250306,0.54381984,0.5051897,0.4555795,0.41674444,0.39301765,0.37992284,0.37144613,0.36492705,0.3601407,0.357795,0.35843137,0.36221042,0.36834466,0.3748332,0.3795859,0.38228092,0.38468596,0.3863008,0.38275924,0.3666118,0.33597502,0.2957364,0.25675258,0.22789788,0.21497057,0.21892242,0.23651443,0.2596368,0.27878368,0.2876578,0.28546503,0.27424228,0.2559006,0.23125774,0.2034509,0.17791899,0.16439019,0.173577,0.21952467,0.3067237,0.42318645,0.53067523,0.58927035,0.5785509,0.5160536,0.43651167,0.37027195,0.3294222,0.31773087,0.34049538,0.39914504,0.47926053,0.5476599,0.57406753,0.55251724,0.50524884,0.46138835,0.43694833,0.43008837,0.43118072,0.42986906,0.41781643,0.38857424,0.34315574,0.29088023,0.2462688,0.22005029,0.21517588,0.2270589,0.24734397,0.26825413,0.28638104,0.30328956,0.32207355,0.34235135,0.3605081,0.3720683,0.37530264,0.3696566,0.3574301,0.34552345,0.3491204,0.38314018,0.4494847,0.52598196,0.578531,0.58305097,0.54369473,0.48496377,0.43311986,0.40068612,0.3865199,0.38220426,0.37863854,0.37016654,0.35678682,0.34255433,0.33192554,0.3261033,0.32461777,0.32689166,0.33426884,0.34770367,0.3673127,0.3907664,0.41410288,0.4318502,0.43963408,0.4363769,0.42513096,0.4111558,0.3991206,0.39136338,0.38780233,0.3867441,0.3865542,0.38645628,0.3868464,0.38800192,0.3911208,0.39893472,0.41684535,0.44583687,0.480744,0.5103231,0.53058106,0.54278964,0.5481991,0.53686374,0.4984953,0.4353292,0.36591753,0.31104815,0.28057173,0.2751434,0.2959258,0.34714818,0.4261253,0.51193804,0.5724932,0.5830552,0.5448272,0.47911406,0.4125012,0.36123025,0.3320695,0.3264674,0.3427279,0.3745778,0.40929225,0.4346476,0.44333434,0.43886802,0.42948735,0.42392185,0.42465624,0.42942706,0.43360355,0.43463448,0.43334004,0.43220058,0.4324688,0.43219697,0.42802644,0.41775525,0.4023254,0.38650814,0.37854525,0.39005303,0.4270366,0.48317662,0.5339919,0.5539749,0.53020686,0.4741656,0.40818408,0.3543121,0.32395354,0.31993356,0.33754587,0.36659217,0.3940942,0.4100155,0.412269,0.40660498,0.4012724,0.40045512,0.40326437,0.40674782,0.41112772,0.4185655,0.43031955,0.44223776,0.44765258,0.44079205,0.42148748,0.39376602,0.3635476,0.33553445,0.3127325,0.29809776,0.29426578,0.30288872,0.32111844,0.3427291,0.36037424,0.37042475,0.37386844,0.37411138,0.37446037,0.37819597,0.39250708,0.4242125,0.4711641,0.513705,0.52719593,0.5007888,0.44871274,0.39635953,0.36144876,0.3473146,0.3515366,0.37647244,0.42288378,0.4815073,0.5267013,0.5355223,0.5023018,0.44691575,0.3958148,0.36655995,0.35906136,0.36461982,0.37418163,0.3826731,0.38678196,0.38388017,0.37365404,0.3590603,0.3451948,0.33521533,0.32963464,0.3267913,0.32590827,0.32792172,0.33463347,0.3458433,0.35730544,0.36306468,0.35951805,0.34843385,0.3346868,0.32384345,0.3214674,0.33529136,0.37179145,0.4287757,0.48926654,0.52918357,0.53314996,0.5051977,0.46314946,0.423898,0.39492762,0.37578812,0.3646584,0.36012807,0.36113334,0.3656532,0.37203994,0.37868944,0.38411608,0.38646403,0.38461205,0.3798003,0.3755021,0.37691227,0.38524428,0.3975939,0.40557086,0.40480116,0.39484695,0.3816062,0.3689096,0.3592278,0.35180166,0.34651446,0.34331408,0.34231624,0.34226534,0.3401499,0.33375755,0.32475534,0.31991193,0.32643408,0.34490225,0.3690544,0.3923206,0.41800067,0.45315114,0.49683318,0.53030324,0.5320988,0.49643445,0.4413675,0.39331746,0.3698413,0.37406674,0.40233326,0.45002308,0.50870866,0.55957055,0.57874,0.5513559,0.48616815,0.40961993,0.3498126,0.31944928,0.31501284,0.32490107,0.33790293,0.34814003,0.35361695,0.357173,0.36153197,0.36867127,0.37663415,0.3835894,0.38893119,0.39389455,0.39917573,0.4052801,0.4127597,0.4224166,0.43192184,0.43796742,0.4364362,0.42664698,0.40809214,0.384576,0.3649141,0.3653799,0.39629224,0.45106506,0.50235134,0.5229711,0.5049638,0.4657887,0.4291949,0.408033,0.3992362,0.3948078,0.39050198,0.38771078,0.38880154,0.39438584,0.40306875,0.41318318,0.42358804,0.4329028,0.43986186,0.4438657,0.44687787,0.45078686,0.455771,0.45847568,0.45615485,0.44795573,0.43585157,0.4217006,0.4070315,0.39217773,0.3764422,0.35941646,0.3435761,0.3348911,0.33749354,0.34884915,0.36141077,0.37123612,0.38257894,0.40250537,0.4324263,0.4665834,0.49961975,0.5304821,0.55834985,0.5750756,0.56820154,0.5314102,0.4726858,0.4096006,0.35878038,0.3294115,0.32516542,0.34877038,0.39911088,0.46525016,0.5234113,0.550868,0.5407725,0.50806504,0.4732919,0.44772148,0.42939654,0.4145923,0.40539858,0.4069732,0.42025492,0.43803668,0.45174408,0.4561455,0.45306528,0.44616166,0.43866768,0.43149087,0.42462263,0.41908872,0.4164295,0.41903946,0.42616114,0.4352275,0.44197607,0.44486967,0.4441888,0.44176733,0.44063798,0.446134,0.46530545,0.49871895,0.5363558,0.5582354,0.55092293,0.5153641,0.46848705,0.42737308,0.40231773,0.39296755,0.3946079,0.4004853,0.40508044,0.40619496,0.4051378,0.40508473,0.4063898,0.40685812,0.40356827,0.39771417,0.3935927,0.3958958,0.4039699,0.41295782,0.41646004,0.41348958,0.40745127,0.4034915,0.4026616,0.4029794,0.40229675,0.40043008,0.39755788,0.39265493,0.3847549,0.37571526,0.36897767,0.36757597,0.370711,0.3777386,0.38748017,0.40174472,0.4206303,0.44791314,0.48376098,0.5243394,0.55282164,0.553394,0.52100164,0.47096488,0.4248388,0.39720896,0.3904223,0.40218434,0.43302873,0.48002067,0.53040206,0.55987614,0.55145514,0.50719815,0.44967857,0.40168738,0.37392417,0.3630179,0.36299273,0.3702433,0.38265118,0.39508197,0.40080658,0.3957305,0.38124382,0.36254868,0.3445257,0.3300209,0.3199714,0.31543675,0.31828186,0.32932702,0.34693435,0.3648739,0.3773054,0.38036624,0.37643525,0.36901358,0.36300707,0.36148122,0.36863363,0.38555145,0.40875578,0.42848167,0.43596506,0.4295155,0.41611004,0.40509844,0.40182424,0.40642515,0.41624868,0.4289163,0.4418985,0.45204988,0.45535767,0.4495058,0.4359688,0.4198929,0.40783644,0.40363201,0.4075501,0.41506162,0.42094335,0.4204961,0.41413644,0.40442073,0.39483082,0.3840858,0.36829677,0.3435639,0.31191728,0.28119397,0.2617456,0.26052213,0.27730235,0.3045957,0.3315324,0.3498138,0.35818398,0.36180958,0.36668265,0.37485924,0.3847797,0.39803943,0.42066348,0.45731962,0.49971285,0.52775145,0.52188504,0.479488,0.41629514,0.35583723,0.31619272,0.30646047,0.32999417,0.38574216,0.4634161,0.53928083,0.5839885,0.5807409,0.5378449,0.48222616,0.43887806,0.41734913,0.4127293,0.41689125,0.4225355,0.4238982,0.41411826,0.39095834,0.35831353,0.32692882,0.3069196,0.30307338,0.31182626,0.3241475,0.33270612,0.33758023,0.3453758,0.36105704,0.38121617,0.39736807,0.40254617,0.3964814,0.38226923,0.36524436,0.35363233,0.35963476,0.3916714,0.4428834,0.4887699,0.50209665,0.47401488,0.4199717,0.36589327,0.32839063,0.30905172,0.30164948,0.30212426,0.30962756,0.32320985,0.33825207,0.34895703,0.35060284,0.3425487,0.32710746,0.3100011,0.29828528,0.29871833,0.31299806,0.33603147,0.3569716,0.36642393,0.361555,0.34760287,0.33231032,0.32128838,0.31562117,0.31409407,0.31534258,0.32019398,0.3305614,0.34778252,0.36910757,0.3894304,0.4041264,0.41342148,0.420319,0.4284639,0.4407659,0.4623753,0.49732828,0.54122454,0.5757448,0.5796688,0.54608,0.49024692,0.43747708,0.40477884,0.39536119,0.4052459,0.43358338,0.47757244,0.5264235,0.55703807,0.55105144,0.5074267,0.44736996,0.39675853,0.37109542,0.3693937,0.38155493,0.39703134,0.4081383,0.41019166,0.40104905,0.38254175,0.36062542,0.34276685,0.3346137,0.33708528,0.34748903,0.36126482,0.3762033,0.3915167,0.40689972,0.41869965,0.42329684,0.41916975,0.4087192,0.39449278,0.37832353,0.36460328,0.36398396,0.38894582,0.44094944,0.50107336,0.53901595,0.5347591,0.49455762,0.44312337,0.40324748,0.38228536,0.37575042,0.37831843,0.38892618,0.40818408,0.43326733,0.45718113,0.47278,0.47737372,0.47304735,0.46272492,0.4476105,0.42831466,0.40944728,0.39750537,0.3983542,0.40967348,0.42547807,0.43740603,0.44240376,0.44028094,0.43434778,0.4282608,0.42540702,0.42826784,0.436976,0.44929624,0.45963648,0.46198285,0.45419535,0.44087598,0.4313787,0.4318795,0.44290352,0.4612255,0.4872451,0.52067435,0.5545613,0.57121116,0.5567455,0.51291364,0.45971975,0.4185281,0.4002762,0.40385103,0.42663494,0.46783856,0.5225844,0.57320905,0.5948632,0.57216436,0.51303715,0.4423088,0.3845559,0.35083202,0.34055087,0.34873578,0.36922204,0.3945816,0.4156218,0.4262325,0.4242306,0.4126024,0.396415,0.3830508,0.3786073,0.38510963,0.39804056,0.41076282,0.41870248,0.42250165,0.42334118,0.42189166,0.41513047,0.40157172,0.38000467,0.35619465,0.3404869,0.350315,0.39420506,0.46385846,0.52761245,0.55478007,0.5341943,0.4851565,0.43577445,0.40465114,0.3914661,0.38780046,0.38698247,0.3873603,0.38852748,0.38789478,0.3815371,0.36797723,0.3500735,0.33400914,0.32467008,0.32372653,0.3301527,0.34237453,0.35906208,0.3771486,0.39236143,0.39992705,0.3983166,0.38968015,0.3796133,0.37365222,0.37429914,0.37941825,0.38464487,0.38657442,0.38523397,0.38217333,0.37921104,0.37673262,0.37512624,0.37466073,0.37675998,0.3846023,0.40394175,0.438363,0.482505,0.5183429,0.5254894,0.49586436,0.44160557,0.3844788,0.3404523,0.3139584,0.3058193,0.32313773,0.37277603,0.44844484,0.52158546,0.55982035,0.5486973,0.50419647,0.45488453,0.42143396,0.40641543,0.40304413,0.4057746,0.41254494,0.42224705,0.43103376,0.43627584,0.43749753,0.4377997,0.43865618,0.4393833,0.4371625,0.43093494,0.42227566,0.41468155,0.4104029,0.40881613,0.4070308,0.40312108,0.39763662,0.39292702,0.390945,0.39441767,0.4086647,0.44055793,0.48880312,0.53788817,0.56209993,0.545946,0.49536398,0.43490398,0.38661167,0.36054385,0.35548976,0.37112412,0.40771818,0.46000716,0.50939155,0.53251386,0.51738596,0.4738982,0.4252095,0.39009586,0.37334046,0.37169933,0.3841751,0.41381907,0.45766488,0.5001908,0.5189373,0.50235003,0.4585694,0.40859058,0.36902913,0.3451878,0.33711973,0.3491281,0.3864685,0.4436315,0.49736106,0.52005464,0.50002044,0.45092312,0.39797735,0.35875914,0.33742666,0.33371785,0.35311496,0.3998097,0.46493378,0.52003044,0.535975,0.5027024,0.43856204,0.37198687,0.32365775,0.2993292,0.29970065,0.3275783,0.3825493,0.45188463,0.50775343,0.52489513,0.49624273,0.43974188,0.3820052,0.34364676,0.33107996,0.34281126,0.37370715,0.41595724,0.4564351,0.4800717,0.47815987,0.4540359,0.4206225,0.39092323,0.37333938,0.37183166,0.39030263,0.42953277,0.48193178,0.52828175,0.5474071,0.5301267,0.48656952,0.43760207,0.40027013,0.3800913,0.37592116,0.3874795,0.41616964,0.4569598,0.49464846,0.5100789,0.49570403,0.46038315,0.4229002,0.39586022,0.38268217,0.38127336,0.3936535,0.42069158,0.45578364,0.479561,0.47363147,0.4336076,0.37449083,0.31766924,0.27737117,0.25806692,0.26119766,0.29238677,0.35182837,0.42535043,0.4799004,0.48754176,0.4437035,0.37483564,0.31289998,0.27699533,0.26693988,0.27960184,0.31580278,0.37484315,0.44116673,0.48632154,0.48765707,0.44637847,0.38598704,0.33279523,0.30019304,0.2887102,0.29746842,0.32693848,0.3738515,0.42236987,0.45256904,0.4524126,0.42922843,0.39980593,0.37840867,0.36782143,0.36611032,0.37365317,0.39293185,0.42179143,0.44802582,0.45787096,0.4445986,0.4158813,0.3836896,0.3578556,0.34089354,0.33624014,0.35070214,0.38952267,0.44545364,0.49484304,0.5130623,0.49102607,0.44406283,0.3960625,0.36437103,0.35134992,0.35279787,0.36443707,0.38263753,0.40093485,0.41006732,0.4049749,0.38798416,0.3674849,0.35012746,0.33792388,0.32888058,0.32013014,0.30901432,0.29419008,0.27649173,0.25950876,0.24636626,0.2377727,0.2312292,0.22372587,0.21319978,0.19855177,0.18058114,0.16234683,0.14990868,0.14777766,0.15583311,0.16812503,0.17826653,0.1837648,0.18668135,0.18976218,0.19321005,0.1957897,0.19730337,0.19981347,0.20470773,0.21079455,0.21476038,0.21480882,0.21162367,0.20737712,0.20304024,0.19857301,0.19356556,0.18838392,0.18365614,0.18007733,0.17820151,0.1786928,0.18154031,0.18531984,0.18749802,0.18636672,0.18275571,0.17860185,0.17525025,0.17155762,0.16625936,0.15848242,0.1493998,0.1400631,0.13148417,0.123390555,0.11559877,0.108146586,0.1020943,0.09880672,0.09909143,0.10219919,0.10581847,0.107508965,0.10598997,0.10181066,0.096160255,0.0903827,0.08580673,0.08488172,0.090044506,0.10182812,0.11678358,0.12946822,0.13586485,0.1358214,0.13173278,0.126037,0.12000329,0.11419851,0.109508134,0.10716025,0.108106285,0.11188492,0.116545,0.11965952,0.11993065,0.11762012,0.11385364,0.10991063,0.10736207,0.10817373,0.11345145,0.12201294,0.13035132,0.13532294,0.13608779,0.13425602,0.13123403,0.12708071,0.12087101,0.113051124,0.10584358,0.10190656,0.101682626,0.10303063,0.10315686,0.101089604,0.09789721,0.094952516,0.09281815,0.091975,0.09464129,0.10385511,0.1208993,0.14211166,0.16085386,0.1712451,0.17219241,0.166173,0.15656708,0.14519826,0.13309781,0.121828325,0.11351762,0.10924679,0.10762817,0.10603831,0.102549285,0.09739228,0.09164027,0.08629685,0.08232332,0.08232664,0.0902723,0.10837265,0.1334914,0.15718351,0.17132896,0.17310226,0.16625792,0.15622596,0.14643744,0.13696833,0.12707908,0.11725944,0.10924051,0.10451233,0.10253637,0.10163923,0.100214034,0.09799757,0.095122345,0.09198808,0.08972907,0.09186751,0.10273161,0.1243126,0.15234101,0.1781795,0.19364427,0.19604246,0.18852885,0.17731355,0.16987844,0.17247467,0.18860452,0.21531175,0.24468364,0.26717797,0.27787665,0.27716613,0.26883098,0.25590602,0.24120218,0.22928727,0.22718109,0.24027073,0.2672448,0.30025044,0.32846794,0.34391382,0.34310138,0.32929984,0.30998006,0.29273164,0.27800587,0.2607154,0.23673785,0.21106577,0.19421084,0.19561614,0.21620797,0.25007284,0.28556266,0.3104339,0.31459427,0.29677927,0.26629978,0.24150102,0.23946919,0.2658783,0.30987224,0.3511746,0.37162015,0.36501038,0.33780184,0.30422434,0.27704576,0.26089057,0.2517884,0.24323685,0.2337396,0.22733593,0.23108904,0.24855821,0.27834308,0.31217358,0.34005186,0.35514328,0.35924816,0.36059964,0.3674704,0.3824973,0.4017668,0.41964376,0.43159792,0.4359024,0.4310725,0.41668853,0.3936366,0.36595616,0.3384204,0.31387535,0.29134688,0.26851746,0.2458256,0.22713552,0.2152896,0.20678878,0.19296604,0.16868788,0.13983008,0.1220248,0.12942302,0.16481902,0.21780245,0.27236986,0.31478092,0.33783004,0.3404107,0.32667482,0.30431175,0.28184584,0.2650699,0.2550047,0.2490247,0.24332647,0.23553179,0.22549139,0.21518314,0.20792292,0.20676912,0.21291244,0.2237605,0.23407757,0.23864955,0.23602839,0.2283519,0.21957642,0.2131036,0.21283527,0.22212921,0.24206841,0.26772517,0.29087195,0.3039385,0.30484125,0.29565322,0.28176132,0.2686843,0.2607728,0.25711647,0.25341785,0.2461617,0.23856755,0.23803313,0.24885757,0.26623365,0.27862474,0.27534828,0.2536871,0.22041355,0.18871926,0.17069133,0.17122942,0.18609023,0.20677303,0.22618626,0.24082933,0.24919164,0.249848,0.24195075,0.22574627,0.20319425,0.17744957,0.15320009,0.13594948,0.130823,0.14036687,0.16270141,0.19145273,0.21772213,0.23430447,0.2379784,0.22959115,0.21170665,0.18819089,0.16485979,0.14867227,0.14426477,0.15026785,0.16073292,0.16938578,0.17390935,0.17533277,0.17614071,0.17835473,0.18414402,0.19492896,0.2106248,0.22795002,0.24250628,0.2509328,0.25343844,0.25236055,0.25017923,0.24722235,0.24264102,0.23580469,0.22808816,0.22158702,0.21780688,0.21628974,0.21553092,0.2141611,0.21171407,0.20856918,0.20532404,0.20251119,0.20055549,0.20006777,0.20208193,0.20761417,0.21676607,0.22785676,0.23766309,0.24297255,0.24236517,0.23694307,0.22933026,0.22200048,0.21645789,0.21358569,0.21432094,0.21937418,0.22829919,0.23894191,0.24812551,0.25309286,0.25288233,0.24849968,0.24231185,0.23654646,0.23260747,0.23067504,0.23043181,0.23117857,0.2321484,0.23225643,0.2305127,0.2261786,0.21909273,0.2093866,0.19715072,0.18175,0.16190864,0.13683861,0.10827764,0.08169522,0.06501057,0.0653275,0.08444247,0.11685147,0.15119454,0.1763222,0.18635152,0.18177354,0.16645718,0.14564112,0.12656999,0.11726639,0.12241725,0.1386105,0.15681416,0.1685592,0.17170656,0.16924037,0.16539712,0.1621783,0.15931386,0.15590046,0.1518722,0.14810032,0.14526337,0.14299549,0.14022227,0.13604952,0.13013655,0.122257985,0.11201907,0.09920418,0.08418366,0.0680864,0.052441224,0.038832474,0.028377617,0.021403655,0.01741036,0.015440783,0.014573676,0.014181039,0.013963792,0.013803073,0.013683315,0.013619029,0.013678706,0.013944187,0.014503109,0.015394929,0.016618727,0.018114934,0.019757837,0.021336453,0.022579283,0.023228362,0.02311375,0.022187606,0.020527838,0.01838374,0.016669272,0.017406093,0.023884857,0.038750466,0.06199056,0.08939091,0.11498167,0.13403898,0.14589028,0.15227954,0.15470874,0.15154551,0.13990669,0.119325496,0.0957303,0.079002984,0.07651025,0.08651694,0.09857935,0.10130494,0.0904681,0.07237892,0.058647398,0.058950942,0.07498772,0.10060271,0.12619434,0.14466125,0.1545639,0.15872402,0.16069604,0.16222444,0.16319229,0.16294628,0.16126238,0.15872496,0.15628074,0.15488054,0.15518932,0.15762503,0.16214883,0.1679707,0.17359178,0.17755365,0.17914297,0.17890336,0.17817341,0.17874663,0.18177247,0.18737936,0.19441976,0.2013861,0.20722634,0.21173956,0.2152937,0.21825628,0.2208757,0.2231605,0.22510655,0.22650127,0.2270884,0.22628559,0.22360007,0.21893793,0.21330404,0.208324,0.20527966,0.20406912,0.20351903,0.20228238,0.1995237,0.19424783,0.18465096,0.16816688,0.14380033,0.11371449,0.08342704,0.05870269,0.043710615,0.040710103,0.051018324,0.07389631,0.10452602,0.13479623,0.1572688,0.16922791,0.172827,0.17188944,0.16936554,0.16632502,0.16319573,0.15994936,0.15666012,0.15316667,0.149646,0.14667048,0.14574015,0.15126227,0.17278723,0.22452717,0.31428123,0.43124995,0.5416381,0.60809034,0.6129796,0.5699744,0.5096647,0.45826992,0.42756465,0.41612855,0.4186071,0.4267536,0.43478885,0.43800604,0.4370314,0.43382248,0.43165198,0.4310498,0.43140855,0.43103886,0.43012142,0.42890167,0.42651796,0.41922256,0.4039298,0.38172403,0.35857403,0.34169248,0.3350569,0.3384771,0.34898642,0.3634117,0.3796102,0.39626673,0.41167083,0.4230466,0.4277351,0.42595124,0.42106792,0.4177511,0.41871703,0.4267608,0.4487661,0.49328706,0.5595929,0.62599254,0.65971315,0.6387773,0.5721554,0.4913336,0.42864588,0.3991375,0.40221372,0.43240425,0.48289403,0.54104227,0.58470154,0.5932383,0.56276304,0.5104077,0.46108285,0.4298227,0.41743648,0.41735756,0.42438233,0.43525544,0.44625878,0.4529358,0.45324418,0.44853553,0.44228902,0.43664625,0.43275163,0.43037462,0.42887673,0.42680264,0.42309615,0.41871557,0.41575637,0.41591308,0.41786137,0.41832808,0.41426584,0.40586016,0.39886698,0.4037007,0.43063247,0.47932112,0.53368306,0.5681402,0.56556696,0.52988327,0.48204017,0.44391933,0.4246985,0.42124918,0.42495298,0.42941567,0.4311277,0.42962387,0.42588985,0.42229363,0.42071852,0.42140254,0.4231051,0.4249715,0.4282334,0.43531385,0.44698298,0.46039164,0.4700246,0.47183397,0.46581003,0.45605507,0.44753465,0.4433689,0.44292858,0.44195262,0.4345529,0.41763344,0.39391652,0.37136868,0.3571857,0.35358235,0.3576243,0.3664175,0.37980172,0.39987078,0.42865637,0.4683415,0.5183777,0.57088846,0.60660344,0.6060906,0.5640005,0.49801263,0.4354715,0.3971527,0.38772288,0.40300968,0.43766344,0.48558354,0.5334668,0.56061715,0.5511841,0.5076223,0.45164993,0.40794417,0.38892338,0.39065388,0.4032502,0.41767788,0.42890564,0.43217018,0.42552757,0.41045642,0.3938507,0.38316324,0.38343692,0.39362836,0.40838933,0.42088795,0.42803618,0.4312365,0.43408373,0.43782434,0.44027737,0.4385415,0.4312611,0.42031944,0.40966567,0.40683803,0.4213526,0.4591738,0.51342607,0.5619065,0.5805717,0.5614762,0.52031857,0.48143837,0.459743,0.4533294,0.4535788,0.45445427,0.45557383,0.4572173,0.4591178,0.46053517,0.4624162,0.4656334,0.47007623,0.47427106,0.47773287,0.48147953,0.4870596,0.4935008,0.49844018,0.49959174,0.4982226,0.49616787,0.49526247,0.49456683,0.49319077,0.48964393,0.4837856,0.47607383,0.46799216,0.46023786,0.45195958,0.44134668,0.42827186,0.4153328,0.4078463,0.41004297,0.4254302,0.45524374,0.4999288,0.55238,0.59704447,0.61391824,0.59308416,0.54224575,0.48163542,0.4315782,0.40343788,0.4019736,0.42837405,0.48078004,0.54768735,0.60642725,0.63153297,0.6117702,0.55861115,0.49868098,0.4541516,0.4324528,0.428328,0.43552962,0.44963542,0.4675999,0.48346075,0.4930941,0.49492872,0.49215958,0.4871714,0.48188806,0.4755802,0.4676913,0.4573823,0.44606924,0.43604925,0.42999694,0.42808458,0.4292678,0.43132985,0.4326128,0.4310787,0.42746758,0.42795038,0.44407615,0.48235753,0.533554,0.57273227,0.57748646,0.5450792,0.49467573,0.4494951,0.42221305,0.41058135,0.4071033,0.4050596,0.40258452,0.3997413,0.39845085,0.40000275,0.40562525,0.414597,0.42498136,0.43426073,0.44154617,0.44796023,0.45302132,0.45300373,0.4410765,0.41555068,0.3814582,0.3496468,0.3268286,0.313583,0.30575085,0.3021718,0.30651817,0.32390782,0.35426536,0.3901707,0.4216886,0.4428555,0.4537944,0.45769906,0.457258,0.45563686,0.45887485,0.47618365,0.5128653,0.561261,0.5998161,0.605335,0.5716199,0.5138426,0.45772126,0.42034462,0.4064236,0.4139297,0.44435346,0.49608836,0.55656844,0.59795,0.5969414,0.551393,0.48577085,0.4295647,0.39954686,0.39345777,0.40175226,0.41558778,0.4299711,0.4404244,0.44431058,0.4412516,0.43429926,0.42666242,0.42021286,0.41450015,0.40821233,0.40050662,0.3924369,0.386759,0.38627264,0.39134884,0.399549,0.40784776,0.4144547,0.4198133,0.4248855,0.43255103,0.44708785,0.47283307,0.5078918,0.54122186,0.5578235,0.549002,0.5201641,0.4854655,0.4588218,0.44483498,0.4414058,0.44309202,0.44678673,0.45066702,0.45491442,0.45954633,0.4651034,0.47111717,0.47702718,0.48118916,0.48259735,0.4799986,0.47392488,0.4632813,0.44627455,0.41897425,0.3818849,0.34040442,0.30461687,0.28087008,0.2699332,0.2674502,0.27199006,0.28547236,0.31159487,0.34761667,0.3849535,0.41258243,0.42517623,0.42480424,0.41905105,0.41600072,0.4219855,0.4408523,0.4746879,0.5194474,0.5634962,0.58843875,0.58197874,0.54559076,0.4965781,0.45616105,0.43872896,0.4468675,0.47520486,0.517055,0.56414294,0.60416573,0.62095195,0.6053059,0.56317955,0.5129407,0.4716736,0.4466014,0.43600717,0.43673375,0.44439247,0.4534757,0.4552419,0.4458669,0.42762974,0.40985754,0.39973524,0.4001962,0.40742397,0.41524282,0.41708186,0.4119513,0.40447274,0.40268984,0.40955886,0.42121187,0.42851996,0.42455855,0.40773118,0.38514367,0.37081766,0.38265622,0.42928335,0.50052434,0.5651277,0.5919213,0.57013565,0.51821715,0.46481562,0.429052,0.41159514,0.4043649,0.40082034,0.3999996,0.40347335,0.41155052,0.42258692,0.4338269,0.44339886,0.45015964,0.45376396,0.45394227,0.451048,0.4451201,0.43530193,0.41947827,0.39678064,0.3695859,0.34347638,0.32365885,0.31162605,0.30441412,0.29727042,0.287606,0.2778175,0.2740527,0.28148377,0.29913747,0.31999925,0.33667335,0.3475236,0.3579179,0.375146,0.40458548,0.4480382,0.5042198,0.56373006,0.6072962,0.6120768,0.5694534,0.49398777,0.41684374,0.36494565,0.3494413,0.36687246,0.41073275,0.47334734,0.5417781,0.5918662,0.5995658,0.55711234,0.48315582,0.4102393,0.3637657,0.34935415,0.35630143,0.37067154,0.38188013,0.384933,0.37725398,0.3610297,0.34200752,0.32906494,0.32818916,0.3401935,0.3594377,0.37757468,0.38967434,0.39757705,0.40812624,0.42437112,0.44164285,0.44993305,0.442583,0.42124185,0.3950504,0.3766836,0.3787162,0.40926564,0.46528253,0.5282061,0.5719523,0.57980824,0.5567313,0.52242744,0.49478164,0.47850254,0.46901837,0.46067074,0.45256773,0.4468386,0.4463069,0.45083606,0.457507,0.4619553,0.46177173,0.4572076,0.45004395,0.44159973,0.43262222,0.42302564,0.41278777,0.40122744,0.38871738,0.37557364,0.36233306,0.3485131,0.33406535,0.32056594,0.31125808,0.31062603,0.32200226,0.3457426,0.37636808,0.40424433,0.42060038,0.42347893,0.418159,0.41278777,0.41444883,0.42936102,0.46345177,0.51689434,0.5770383,0.61848235,0.6187534,0.5736622,0.5014587,0.4278439,0.37204185,0.34224176,0.34224427,0.37481475,0.4356309,0.506761,0.55939096,0.572076,0.5447054,0.498402,0.45723784,0.43381128,0.4261304,0.42662385,0.4278557,0.42564943,0.41726932,0.40369096,0.3874234,0.3721799,0.3592005,0.3488493,0.3413063,0.33837342,0.3427472,0.35688123,0.38055572,0.40886307,0.43260288,0.4426386,0.43541923,0.4152857,0.39149022,0.3741239,0.37229073,0.395058,0.44585633,0.51488405,0.5755405,0.6004259,0.5807523,0.5342218,0.4886502,0.46174172,0.45363513,0.45555866,0.4601299,0.4647062,0.46894613,0.4729179,0.47595227,0.4763743,0.47173735,0.46080562,0.4459602,0.4323218,0.4247991,0.42406687,0.4268321,0.42829415,0.4263376,0.4222043,0.41906047,0.4186946,0.42064372,0.4227976,0.42335364,0.4215698,0.41822827,0.41482905,0.41309592,0.4134992,0.41559553,0.41833866,0.42134976,0.4241872,0.42686656,0.4314057,0.4450276,0.47553977,0.5224407,0.56749576,0.5844514,0.55618685,0.49102235,0.41448224,0.35273585,0.3182166,0.31381452,0.34179282,0.40333426,0.48716864,0.56184036,0.59150726,0.5610836,0.48944485,0.41247538,0.35701665,0.32875225,0.3205179,0.3261082,0.34149387,0.36160886,0.37597427,0.37723097,0.36420748,0.34397793,0.323216,0.30565354,0.2912058,0.2793583,0.27027985,0.26405028,0.26035693,0.25802502,0.25613585,0.25384665,0.2508611,0.24717188,0.24334586,0.24004626,0.23746024,0.23519605,0.23242442,0.22848041,0.22242181,0.21357633,0.20166403,0.18764825,0.17305273,0.15940015,0.14754252,0.13773723,0.12980609,0.12322887,0.11741251,0.111955285,0.10677562,0.101922415,0.09732019,0.09277696,0.08813561,0.083432816,0.07890967,0.07484955,0.07149565,0.06882758,0.066644736,0.06453819,0.06231199,0.060055163,0.05824332,0.057242896,0.057095844,0.057398748,0.05768517,0.05766913,0.05731466,0.05667901,0.055783983,0.05465674,0.0533454,0.051898647,0.05029304,0.048457026,0.0463862,0.04416728,0.04196052,0.039852798,0.03785041,0.035848647,0.03378328,0.03167307,0.029674808,0.027919218,0.026446981,0.025178919,0.024063626,0.02309063,0.022276955,0.021568572,0.020901993,0.02024176,0.019654194,0.019206585,0.018942824,0.018795101,0.018679949,0.018485546,0.018169783,0.017692542,0.017087147,0.016400304,0.015758362,0.015245881,0.014905155,0.014647003,0.014357228,0.013918389,0.013287446,0.012454513,0.011455911,0.010370631,0.009347178,0.008576496,0.0082343025]