[0.037944514,0.05300576,0.085186064,0.12059543,0.1426339,0.1430706,0.1317269,0.12904851,0.14950697,0.18863152,0.22883634,0.25491503,0.26137313,0.25253084,0.23152351,0.20304567,0.16786058,0.13073821,0.09352467,0.061439484,0.03909195,0.037192266,0.06971697,0.14812976,0.26522705,0.3919979,0.48927888,0.54029775,0.5528477,0.55254966,0.5432126,0.5181119,0.46347368,0.3943157,0.33078635,0.2923933,0.27093935,0.2556208,0.24019933,0.23800266,0.25910538,0.29822695,0.32945323,0.32770693,0.28922036,0.23660123,0.19967468,0.19438665,0.2120567,0.2353913,0.24964206,0.2522822,0.24112667,0.21638186,0.18218195,0.15370917,0.14482206,0.15608269,0.17029625,0.1688869,0.14794216,0.1245426,0.1248878,0.16393209,0.23183753,0.2965711,0.32858077,0.32064006,0.29094282,0.26258847,0.24710734,0.2416817,0.23930472,0.23435982,0.22276121,0.20036976,0.16833949,0.13663945,0.119718194,0.12418759,0.14099371,0.1532229,0.15032774,0.13825999,0.13115497,0.13777153,0.15150154,0.15758342,0.14546406,0.11954206,0.09663093,0.09757888,0.13379739,0.19999033,0.27467063,0.3316203,0.35321578,0.33721447,0.29763332,0.2585728,0.24524093,0.2679211,0.31491938,0.35900807,0.37935027,0.37322128,0.35319626,0.33036962,0.30812773,0.28425208,0.2591286,0.2357275,0.21543865,0.19548386,0.17063741,0.14015287,0.11021567,0.09430394,0.10178045,0.12980595,0.16015981,0.17674027,0.18018122,0.19040167,0.22321784,0.27382386,0.31543335,0.32408407,0.2940564,0.24438815,0.20235918,0.18704264,0.19711514,0.21492243,0.22485067,0.22121513,0.21072645,0.19785409,0.18661273,0.17711616,0.17065644,0.16316539,0.14943993,0.12725984,0.10460176,0.09338076,0.10034719,0.11847842,0.13329582,0.13256595,0.11660751,0.09688991,0.08843285,0.09852288,0.12191049,0.14496808,0.15566324,0.14978097,0.13030647,0.10467758,0.08378625,0.08298964,0.11375946,0.17452724,0.24332638,0.29162255,0.3020825,0.28139362,0.2501289,0.22427411,0.20470113,0.18322259,0.15737891,0.13542292,0.12858897,0.13861383,0.15415639,0.16027808,0.14878926,0.12751397,0.1163544,0.14111497,0.2097401,0.30613473,0.39086393,0.43980804,0.45307648,0.45809618,0.47063342,0.49241343,0.5073465,0.50902045,0.49860117,0.48839453,0.482304,0.4790709,0.47070813,0.45991024,0.4527813,0.4547577,0.45769945,0.45143557,0.4335989,0.4162434,0.41209027,0.42180213,0.42934668,0.419655,0.39052925,0.35667542,0.3288168,0.3064196,0.27927643,0.24673213,0.22338897,0.23005553,0.2741615,0.3369272,0.38431525,0.39111796,0.3630232,0.32802916,0.31565022,0.3307769,0.35922673,0.37592626,0.36867657,0.3376318,0.2979158,0.26373637,0.24754035,0.25233078,0.2789266,0.31697884,0.35220313,0.36435875,0.3478904,0.3098563,0.26900846,0.23602374,0.21066548,0.18475507,0.15367816,0.123536915,0.10884293,0.12122828,0.15656513,0.19562954,0.22413932,0.24863744,0.29074967,0.35906884,0.43468046,0.48348776,0.48571885,0.44750512,0.39479402,0.35046688,0.32602558,0.31526145,0.30807105,0.29606938,0.28384617,0.27779815,0.28254285,0.2891718,0.29029873,0.28126407,0.27120093,0.26695743,0.2737013,0.28773353,0.30360785,0.31378305,0.31170174,0.29790202,0.2777541,0.26123825,0.2523155,0.25568792,0.2734028,0.30896398,0.3544362,0.39610222,0.41794574,0.41993192,0.41085073,0.403101,0.39387417,0.37738118,0.34713796,0.31074235,0.27411708,0.24318944,0.2177882,0.20535661,0.21741705,0.25850698,0.31415913,0.3528169,0.3557316,0.32616594,0.2908226,0.26639503,0.25897822,0.25996557,0.26721966,0.27529737,0.2809848,0.2733739,0.25264618,0.22450627,0.20684242,0.20622785,0.22142649,0.23723833,0.24328987,0.23677118,0.2289411,0.2377547,0.27152026,0.32007974,0.3520966,0.346164,0.3009609,0.24352871,0.19818093,0.17891468,0.17868,0.18441059,0.181373,0.16317865,0.13290967,0.101433106,0.08295763,0.08619531,0.109898925,0.13862222,0.15284337,0.1404674,0.10710611,0.068717845,0.039847225,0.024176368,0.017770868,0.015217181,0.014930072,0.019581797,0.03554559,0.06789848,0.11528649,0.16566007,0.20372866,0.21968764,0.21644306,0.20266648,0.18675983,0.1719987,0.16030835,0.15233551,0.1471113,0.14087437,0.12914997,0.11010999,0.08528614,0.059469983,0.03752217,0.022704775,0.01487467,0.011821152,0.010887653,0.010506757,0.010179593,0.0099370135,0.0098951245,0.010152688,0.013781528,0.028629772,0.06950975,0.14497297,0.24905491,0.35121167,0.4184014,0.4304124,0.39832914,0.3478668,0.3041222,0.27356336,0.24998969,0.22413094,0.19577694,0.17027545,0.15398586,0.14565124,0.14153488,0.13801868,0.1379804,0.14456154,0.1576997,0.17054756,0.17687379,0.17420466,0.16564287,0.1538272,0.14094388,0.12757559,0.11661827,0.11266134,0.12150005,0.14361899,0.17151378,0.19262034,0.20025545,0.19664289,0.18993936,0.18317115,0.17588185,0.16455328,0.1499181,0.13307655,0.11816447,0.11033764,0.11476824,0.13141383,0.15158229,0.16591567,0.16909175,0.16593397,0.16088723,0.15724166,0.15236205,0.14520985,0.13395543,0.11814246,0.09860621,0.08126444,0.076920025,0.092177,0.12488419,0.16161309,0.19117498,0.20661265,0.20958959,0.20025533,0.18160786,0.15875137,0.14309144,0.14323775,0.15896237,0.17888792,0.18835008,0.177907,0.14908688,0.11306114,0.085628726,0.07674357,0.08533704,0.099237114,0.10721028,0.10539698,0.100153856,0.09783357,0.10065186,0.10386593,0.10410476,0.10285583,0.10804727,0.12431552,0.14779074,0.16492929,0.16566671,0.14968938,0.12922108,0.11502171,0.11070206,0.108089805,0.099454425,0.08301744,0.06808334,0.06427384,0.07455835,0.08946588,0.09630915,0.087450035,0.06695309,0.044479776,0.028716154,0.02261924,0.026380343,0.03990652,0.06213692,0.08868537,0.11160492,0.12494475,0.12735185,0.12338695,0.11720394,0.11238316,0.10916295,0.10872477,0.109438114,0.10911789,0.103669286,0.09323002,0.08280613,0.08074815,0.09180682,0.112311505,0.13195883,0.14078823,0.13670164,0.12659197,0.12009541,0.12197415,0.12918817,0.13586126,0.13844766,0.13609459,0.12920351,0.121377476,0.1238664,0.1488673,0.19754577,0.25271603,0.29189074,0.30321142,0.28991285,0.26118115,0.2228753,0.18176329,0.14654708,0.12738924,0.12476792,0.13125499,0.1357907,0.13336788,0.12450159,0.11250043,0.09928129,0.08523846,0.07156063,0.0626206,0.06449062,0.08028383,0.10512153,0.12921886,0.1425005,0.14246799,0.13213308,0.11967915,0.110190324,0.10590417,0.10413467,0.103698164,0.105330914,0.11047667,0.11742938,0.121837854,0.121617764,0.11910716,0.11769978,0.11856095,0.11895905,0.11764908,0.11388912,0.10943573,0.10449004,0.09990007,0.095167466,0.09033546,0.085918695,0.0827296,0.080383115,0.07653541,0.071596585,0.07157442,0.085044086,0.11457815,0.15148471,0.18411519,0.20497435,0.21715127,0.22306257,0.22392084,0.21484001,0.19681048,0.17193095,0.14706896,0.12519664,0.11139974,0.107602715,0.114761434,0.12669544,0.13775724,0.14368485,0.14692307,0.14923082,0.15116386,0.15055513,0.14641364,0.14128876,0.13870971,0.14185672,0.14739484,0.1481087,0.13583465,0.10967333,0.07870015,0.057789173,0.061294217,0.090774216,0.13605179,0.17599623,0.19792253,0.19942494,0.19187982,0.18379305,0.17877786,0.17365463,0.16620022,0.15789932,0.1506476,0.14566655,0.14037885,0.13547564,0.13232587,0.13397108,0.13779359,0.14001445,0.1371703,0.13145195,0.12853448,0.13389473,0.14898078,0.16675834,0.1786352,0.17684926,0.16379301,0.14251028,0.117999405,0.09063816,0.06615896,0.052017342,0.056867123,0.080861285,0.11547736,0.14608611,0.15975624,0.15080863,0.123714395,0.09162407,0.07187814,0.07726922,0.10915593,0.15479034,0.19622952,0.22063757,0.22753394,0.2239459,0.21675406,0.20817679,0.19598217,0.17887287,0.1570101,0.13534173,0.11811921,0.108503215,0.10460097,0.1028652,0.099589825,0.09228653,0.08198676,0.07392186,0.08073095,0.11379535,0.17432177,0.24330004,0.29322913,0.3055074,0.28603694,0.25530282,0.23245412,0.22111957,0.21573049,0.20870866,0.19850685,0.18587416,0.17382975,0.16417289,0.15991159,0.16077937,0.1660795,0.17224447,0.17825168,0.18000388,0.17401339,0.15768738,0.14058185,0.1389504,0.16694357,0.21791875,0.26917386,0.29402784,0.28457013,0.25148058,0.2155091,0.18818438,0.1686499,0.14716385,0.11891373,0.08711473,0.063101605,0.05563429,0.06760616,0.09278173,0.12213969,0.14668205,0.16241954,0.16921781,0.172014,0.17613782,0.18596606,0.19835837,0.20610078,0.20073706,0.18226944,0.15952778,0.14546315,0.14905551,0.1695867,0.20102216,0.23351495,0.25815475,0.26592568,0.25417557,0.23138423,0.21332566,0.21117179,0.21886756,0.22145982,0.20771988,0.18107696,0.15186067,0.12882842,0.11501863,0.110580154,0.11578163,0.13034602,0.14992064,0.1669079,0.17222555,0.16658492,0.15472913,0.14538817,0.13610083,0.12612902,0.115198314,0.11459059,0.12974936,0.15885471,0.18719304,0.20302899,0.20192297,0.1889339,0.16958182,0.14827996,0.13104981,0.12410199,0.1310236,0.14323866,0.15083998,0.14502676,0.13066092,0.11327069,0.098840564,0.08564207,0.074201144,0.069146134,0.07969177,0.10959401,0.15020119,0.1835288,0.19487876,0.18397057,0.16383822,0.1487941,0.14335711,0.1411603,0.13567549,0.12804078,0.12754512,0.14122306,0.16696407,0.1939565,0.209347,0.20843537,0.19481863,0.17867754,0.16564901,0.15652291,0.14875312,0.14159346,0.13580948,0.1311639,0.12846683,0.1280294,0.12967043,0.12876503,0.121175565,0.10566942,0.08594132,0.06598605,0.049032632,0.038729895,0.04112181,0.06284423,0.10490433,0.16030908,0.2146876,0.25591597,0.27670506,0.2795507,0.27037084,0.2595836,0.2548516,0.25989226,0.27208138,0.28615907,0.30025384,0.31298628,0.32169557,0.31800815,0.29834557,0.26953655,0.2475491,0.242619,0.25015804,0.25520125,0.24554056,0.21853583,0.18219036,0.14910837,0.13437288,0.14336175,0.1712354,0.20367247,0.23464234,0.26595256,0.30260575,0.3382772,0.36105242,0.36298308,0.34988403,0.3354348,0.33172676,0.3392861,0.34848583,0.34555498,0.32612374,0.29609048,0.2687501,0.25187364,0.24925597,0.25928244,0.2799642,0.30193114,0.3158462,0.31531945,0.30784988,0.30211183,0.30434158,0.30993292,0.31683418,0.32496986,0.33543488,0.3422749,0.33619872,0.3143249,0.28572738,0.26591012,0.26650444,0.28383672,0.3050822,0.3120159,0.29840377,0.2667159,0.22923641,0.19503206,0.17120445,0.16359979,0.17700686,0.21057485,0.25123775,0.28234348,0.29136696,0.28059387,0.26233515,0.2520804,0.25818726,0.27595592,0.29168177,0.28893182,0.26039353,0.20879705,0.14716263,0.09050407,0.052009482,0.038611274,0.05277604,0.09022627,0.14101927,0.18631947,0.2089622,0.19805382,0.16115277,0.11583432,0.084985085,0.0795534,0.09718267,0.12485962,0.1525287,0.17811708,0.20213705,0.22226639,0.23421,0.24170093,0.25269344,0.27292433,0.29444242,0.30634043,0.30021337,0.28120852,0.2565555,0.23427188,0.21470322,0.19722517,0.17962585,0.16223127,0.14578338,0.1302961,0.11315665,0.09157786,0.06610524,0.042047333,0.025329737,0.020422691,0.03093394,0.061349798,0.112888515,0.17723519,0.23618035,0.268612,0.26260966,0.22073932,0.16130671,0.108313315,0.081586085,0.08562932,0.112041436,0.14859287,0.1877985,0.22517055,0.25223407,0.26027632,0.25051168,0.2380208,0.23938818,0.25630948,0.27740276,0.28775966,0.28155658,0.25675437,0.2172168,0.17163801,0.13859726,0.13322474,0.15692933,0.1934548,0.22367384,0.24121626,0.25248754,0.270911,0.2986132,0.3315697,0.3543403,0.36062253,0.3474833,0.3256271,0.30349657,0.29124632,0.2920845,0.30605164,0.3240908,0.33357286,0.3241993,0.29917827,0.26999953,0.24983078,0.24025418,0.23798013,0.23771083,0.24128272,0.24970762,0.26119122,0.2670898,0.26096556,0.24235088,0.21855181,0.19701803,0.17935954,0.16168968,0.1380996,0.112424046,0.0983753,0.120098256,0.18910132,0.29565665,0.39887962,0.45856664,0.45181945,0.3983443,0.33213922,0.286293,0.26186052,0.24487431,0.21816373,0.18491112,0.15877478,0.15458459,0.17130452,0.20139937,0.23056777,0.25443673,0.26944935,0.28319654,0.29852483,0.31724238,0.3322359,0.33650222,0.32602108,0.29754758,0.2534813,0.2008162,0.16071922,0.1512525,0.1809721,0.23577355,0.2954323,0.34034392,0.36371955,0.36511984,0.34996328,0.32412454,0.2942505,0.26573512,0.23952883,0.21363562,0.18403214,0.15365012,0.12826416,0.11589276,0.117190264,0.12916034,0.14456473,0.1570949,0.1624703,0.15993898,0.15143725,0.1376832,0.11966067,0.10069313,0.08987266,0.09655315,0.123163104,0.1602263,0.192729,0.20923066,0.20836604,0.19367427,0.16851707,0.13571425,0.10310257,0.08487146,0.09133311,0.12065915,0.15627943,0.18106057,0.18679905,0.17814939,0.16420007,0.1523165,0.1458767,0.14417055,0.1424206,0.13582101,0.12547925,0.12394317,0.14362678,0.18811996,0.24319272,0.29138651,0.3170707,0.31548226,0.28765762,0.24620844,0.21088307,0.1996892,0.21482068,0.24128437,0.26235273,0.2719089,0.27566686,0.2746185,0.26063362,0.222847,0.16727798,0.115655385,0.09255326,0.103756726,0.13640599,0.17081086,0.19557996,0.21054769,0.21907455,0.22376744,0.22302108,0.21656688,0.2058476,0.19646047,0.19139193,0.18747424,0.17578189,0.15384308,0.13109519,0.12412872,0.13912676,0.16737778,0.19096117,0.20102972,0.20033447,0.20197247,0.21194638,0.22901553,0.24144435,0.24286138,0.23308297,0.2202934,0.21132456,0.20649378,0.2029192,0.19757189,0.19502668,0.19976352,0.21336053,0.228818,0.23880835,0.24129546,0.24088432,0.24347065,0.25131583,0.26432708,0.28020346,0.29552588,0.30418947,0.3019834,0.28902164,0.27101538,0.25320873,0.23760249,0.22395979,0.21414374,0.20952253,0.20601343,0.1925425,0.16244355,0.11999031,0.080879115,0.05740207,0.05297785,0.061991226,0.07992583,0.10723152,0.14554004,0.19136567,0.2340252,0.2646929,0.28373373,0.29897738,0.31511763,0.32721147,0.32808283,0.3171078,0.30089065,0.28550032,0.2734501,0.2697979,0.28137875,0.31136957,0.34892413,0.3789059,0.38971445,0.38489547,0.37248823,0.3628129,0.3579005,0.35495153,0.3446741,0.31826338,0.27299145,0.21315892,0.149858,0.09377342,0.055349696,0.040681306,0.052844822,0.088768095,0.13901472,0.18812968,0.22096264,0.2298898,0.21940434,0.20101653,0.18381625,0.16835429,0.15057005,0.13180326,0.11965384,0.120697655,0.12898429,0.13090846,0.11663122,0.09168502,0.07188872,0.07075825,0.08937764,0.116703026,0.13961126,0.15241241,0.1597386,0.1720959,0.19392495,0.22371097,0.25213468,0.27509907,0.28635374,0.2836948,0.26308772,0.23278828,0.2069631,0.20169063,0.21869595,0.24744527,0.2716401,0.2821286,0.27890173,0.26714778,0.2500517,0.23006244,0.21205483,0.207214,0.22019275,0.24656367,0.26869965,0.28033638,0.28504255,0.29916123,0.32236964,0.34472957,0.34778073,0.33168754,0.30470252,0.28242067,0.26961705,0.27036706,0.28115436,0.29522213,0.29779646,0.2827731,0.26109785,0.25580773,0.27761576,0.31191874,0.33289084,0.3295422,0.31197527,0.29570076,0.28202885,0.26208678,0.22698541,0.1793678,0.12868507,0.08865211,0.0706499,0.080337994,0.11420228,0.16218965,0.21449006,0.26386568,0.30220556,0.32014057,0.31234732,0.28750178,0.25980428,0.23901178,0.2215691,0.20365684,0.18934578,0.18703075,0.19808668,0.21497922,0.23395653,0.25881124,0.29128247,0.31930932,0.32343793,0.29697365,0.25367796,0.21429576,0.18830098,0.17040539,0.15480904,0.14287716,0.14198971,0.15515095,0.18010046,0.21185957,0.24626966,0.27818906,0.3007981,0.3085148,0.30143476,0.28494394,0.26699558,0.25171718,0.23891349,0.22393973,0.20559387,0.18880446,0.18147314,0.18613744,0.19451945,0.19525711,0.18182828,0.1616867,0.14981867,0.15879615,0.18606113,0.21735494,0.23794086,0.24409924,0.23954351,0.22999603,0.21806248,0.20882308,0.20573656,0.21027058,0.21555977,0.2163517,0.21041282,0.20283754,0.19565676,0.1883546,0.17780156,0.16611312,0.15922438,0.16254908,0.17473656,0.18704896,0.19008239,0.18122469,0.16666909,0.1546904,0.14657281,0.13645454,0.11720091,0.089161724,0.06050497,0.04380706,0.05078234,0.08509908,0.14004695,0.19652212,0.2370535,0.25208324,0.24776085,0.23348139,0.21893494,0.20747627,0.20163816,0.19929396,0.19518043,0.18109845,0.15509203,0.12504655,0.10543776,0.105297685,0.12111532,0.13973622,0.14884776,0.14346023,0.12625502,0.103232056,0.08169848,0.0690161,0.07034513,0.08587366,0.10783694,0.12551546,0.1294799,0.119283535,0.10052826,0.08293483,0.072393656,0.070078164,0.07179523,0.07222433,0.068153985,0.062424887,0.0653179,0.09145089,0.14665449,0.22086716,0.28734988,0.32571173,0.3294306,0.3123736,0.28799748,0.26846936,0.2550355,0.2465084,0.23669083,0.22645915,0.22383873,0.23944877,0.27043185,0.29930368,0.30671552,0.2885828,0.25721344,0.23059063,0.21881245,0.22154254,0.23040532,0.23830013,0.24047269,0.23802145,0.23107398,0.22430754,0.22001217,0.22217111,0.22466229,0.22058354,0.20320237,0.1783322,0.15653339,0.14755271,0.15300967,0.16732168,0.18420883,0.19584697,0.20051235,0.19697176,0.19119835,0.18391146,0.17640106,0.1647606,0.15273279,0.14549154,0.15050478,0.16675508,0.18991911,0.21410264,0.23559625,0.24908988,0.24805595,0.23257606,0.2116043,0.19908457,0.19923896,0.20740092,0.21411783,0.21692389,0.2168659,0.21764183,0.22191471,0.23239815,0.24969244,0.26771316,0.27971458,0.2802714,0.2743176,0.2662715,0.26010162,0.25265065,0.24103497,0.22216414,0.19416778,0.15770808,0.116383076,0.08040333,0.061222676,0.06895394,0.10009811,0.1389246,0.16304308,0.1639686,0.14968602,0.13756488,0.13634978,0.1457495,0.16079013,0.17829494,0.1926231,0.19763076,0.18763667,0.16444433,0.13436076,0.10924437,0.099125035,0.10809716,0.1281804,0.14494434,0.14757341,0.13648872,0.12178322,0.113241516,0.11417762,0.117823444,0.11481962,0.0991348,0.07564785,0.056019366,0.051812578,0.06447106,0.084369816,0.098427705,0.1021538,0.104569994,0.11863607,0.14864771,0.18522589,0.2157066,0.23258334,0.2364089,0.2291181,0.21399029,0.19527502,0.18082851,0.17555232,0.17887235,0.18320566,0.18133551,0.16977555,0.14960892,0.12300105,0.09337156,0.0665177,0.049147833,0.045141976,0.05211265,0.065336585,0.079482645,0.09226182,0.10023508,0.101787366,0.095948525,0.085986644,0.07502721,0.0652545,0.056545466,0.04979986,0.04733649,0.05130859,0.0604504,0.07055583,0.0774506,0.08014283,0.08060106,0.080442436,0.080117285,0.07926015,0.08093918,0.088439725,0.10322686,0.119184725,0.12843943,0.124442816,0.10925319,0.08987623,0.076099515,0.07307494,0.07986096,0.09115168,0.10173086,0.10939333,0.112170435,0.10887716,0.10043482,0.09286081,0.09284783,0.10259119,0.11779217,0.13221727,0.14135627,0.14403875,0.14166468,0.1384748,0.13898784,0.1446688,0.15132815,0.15277739,0.14464581,0.12851723,0.10988822,0.09648316,0.09212536,0.094593376,0.09626567,0.09100065,0.07826616,0.062042933,0.046320435,0.033316735,0.025141409,0.02483797,0.034396555,0.051201273,0.06784285,0.076307476,0.074677564,0.068197064,0.06435708,0.065402895,0.06742865,0.065671094,0.058919474,0.05005333,0.041900624,0.03751314,0.038843006,0.047399614,0.060455788,0.07276039,0.07846058,0.07560259,0.06567619,0.052357074,0.038862426,0.027131872,0.017804712,0.010736325,0.0057769255,0.002632431,0.0010164125,0.00034448967,0.00015082004,0.00022127076,0.0008799839,0.0042963214,0.0149672115,0.038937178,0.0766406,0.11843691,0.14580305,0.14517069,0.11797011,0.07987996,0.04770596,0.028877309,0.0213364,0.01956751,0.02156718,0.030495273,0.053316046,0.09247138,0.14033312,0.18073179,0.20157725,0.20388849,0.19782911,0.1923327,0.18727829,0.17899163,0.16299398,0.13899386,0.10780253,0.07462723,0.045283645,0.02544894,0.015587908,0.0132145425,0.014293821,0.018363805,0.030460605,0.0636232,0.13057156,0.23349802,0.35202157,0.45312023,0.5063894,0.5046517,0.4608928,0.40103555,0.34643975,0.30997634,0.29014483,0.27906147,0.2664795,0.2497193,0.23021938,0.21114445,0.19374563,0.18026207,0.1755689,0.18180437,0.19706126,0.214118,0.22923444,0.24022631,0.24815798,0.25181928,0.25181922,0.25050822,0.2530281,0.2637044,0.28038484,0.29464114,0.29523113,0.278587,0.25122768,0.22364956,0.20139365,0.17955269,0.15238033,0.117468126,0.08190847,0.054078702,0.04276062,0.053551704,0.08815462,0.14361854,0.20947008,0.2759708,0.33217132,0.3734485,0.39373013,0.39264593,0.3719673,0.33980405,0.3040432,0.26725405,0.22686292,0.17955337,0.13304071,0.10477391,0.11434045,0.16943295,0.25646913,0.34792376,0.41198334,0.43391156,0.41637865,0.37656632,0.32985866,0.28608242,0.25121525,0.22867966,0.21802266,0.21284421,0.20739327,0.20147127,0.1976208,0.1953296,0.18958019,0.17854352,0.1647384,0.15228395,0.13978328,0.124513276,0.105911314,0.0897745,0.081528276,0.083036,0.090739556,0.10163102,0.11497442,0.13122784,0.14720333,0.15778269,0.15987694,0.15644266,0.15101314,0.1435131,0.12844767,0.1036855,0.07428059,0.052078962,0.04654503,0.059031237,0.08285003,0.10746925,0.12511042,0.13224632,0.13235463,0.13183306,0.137046,0.14757742,0.15749128,0.15963803,0.15214902,0.13855214,0.12397478,0.11116874,0.10028993,0.090426646,0.08244101,0.078532994,0.08114629,0.088481136,0.09423584,0.09088925,0.0760211,0.054639596,0.034786116,0.02561074,0.03603505,0.079279415,0.16032359,0.2714422,0.3845025,0.4745418,0.52704495,0.5468738,0.54217935,0.5222787,0.49459025,0.46566233,0.43794158,0.4093585,0.37827674,0.34734216,0.3201327,0.2979406,0.27702257,0.25568828,0.23566604,0.22311886,0.21901198,0.21872674,0.21281582,0.19845031,0.17741399,0.15581185,0.13656054,0.12175554,0.11061763,0.10107841,0.09260419,0.08981504,0.09936454,0.122015856,0.14813538,0.16597001,0.16817369,0.15722466,0.13775451,0.116543405,0.10123414,0.10455322,0.13841867,0.20286082,0.28254983,0.352839,0.39956212,0.41895851,0.41567755,0.3895351,0.34384036,0.28646782,0.23092927,0.18517649,0.14827648,0.115160644,0.08449283,0.062467415,0.05709979,0.06984887,0.092393406,0.11104158,0.11806676,0.1139084,0.1057071,0.10009972,0.10372921,0.12094041,0.15086716,0.18430115,0.20875335,0.21685468,0.20954876,0.19190724,0.1680596,0.14210407,0.12047851,0.111969136,0.11968138,0.13813278,0.1541112,0.15903665,0.1526209,0.14240204,0.13433023,0.1302246,0.1311516,0.13949843,0.15855189,0.18462478,0.20905471,0.22108702,0.21755266,0.20342188,0.1885345,0.1777228,0.16781318,0.15230884,0.13191353,0.11322669,0.102154694,0.095318474,0.08760639,0.07735806,0.06969109,0.06764761,0.06960858,0.07007673,0.06606545,0.05847611,0.051561683,0.05035254,0.060479227,0.08430921,0.11796258,0.14956886,0.16684859,0.16410883,0.14525853,0.11902363,0.09404395,0.07659924,0.06838452,0.066327,0.063685186,0.057062343,0.04958217,0.049549554,0.06268002,0.08674708,0.11281509,0.13059317,0.13596089,0.1306589,0.1205726,0.10877564,0.09591546,0.080558226,0.063965164,0.050202023,0.04423629,0.047621917,0.055641204,0.060852107,0.058534387,0.052233502,0.050295245,0.05880387,0.07508547,0.08969986,0.09470356,0.089969,0.08225134,0.07749363,0.075348295,0.0709382,0.061049897,0.04866418,0.04023732,0.04019287,0.046870645,0.05426384,0.05679947,0.054750696,0.055289257,0.070796564,0.108604185,0.16626476,0.2277325,0.2771894,0.30425936,0.31083333,0.30136976,0.28284505,0.26114193,0.24331112,0.23257357,0.22707881,0.22154795,0.21315424,0.2049889,0.20312841,0.21171822,0.22858344,0.24913895,0.26919043,0.2884159,0.30478922,0.3146704,0.31266055,0.2984856,0.2765238,0.25426435,0.23904435,0.23581915,0.24557598,0.26218608,0.27618584,0.2817606,0.28063226,0.28018692,0.28462195,0.2933563,0.30109814,0.3024948,0.29757336,0.28948238,0.28591505,0.2869849,0.29046786,0.28792998,0.27634192,0.25654855,0.23510987,0.21965541,0.21082217,0.20529085,0.19552408,0.18282615,0.16888703,0.15703012,0.14435999,0.13234441,0.12458367,0.12579246,0.13374053,0.14273022,0.14743467,0.14762549,0.14439303,0.13984789,0.13317913,0.12630022,0.122632615,0.1305613,0.15286279,0.18426089,0.21126805,0.22537176,0.22860491,0.22993147,0.23597501,0.24508823,0.2506161,0.24453594,0.22397406,0.19250943,0.1604534,0.13781726,0.12887633,0.12776978,0.12565844,0.11743965,0.10884517,0.10901445,0.1232947,0.14748865,0.17251714,0.19108434,0.19944714,0.1977182,0.18652828,0.17023481,0.15489702,0.1482536,0.15172659,0.16330312,0.177339,0.19428234,0.2118634,0.22784287,0.23222832,0.22196804,0.19805674,0.17162032,0.15250282,0.14761068,0.15480779,0.16531588,0.17086796,0.16989692,0.1701592,0.18063982,0.2026694,0.22778861,0.24257888,0.24234796,0.23107038,0.21861584,0.20923233,0.2032886,0.2018308,0.20824951,0.22631323,0.2499398,0.26724112,0.26300254,0.23606338,0.19893603,0.17134225,0.16229062,0.1659201,0.1709904,0.17098218,0.16625863,0.15929429,0.15143752,0.14448273,0.1393507,0.1368795,0.13719214,0.14016755,0.1458916,0.1523601,0.1574618,0.15975857,0.15927677,0.1572228,0.15163936,0.14239484,0.12919801,0.11696533,0.108672224,0.105769865,0.10634265,0.111094855,0.1290358,0.1730917,0.24743612,0.33323598,0.39788058,0.41880235,0.4032879,0.3773487,0.36236534,0.3559543,0.34453318,0.3158904,0.27561715,0.23639362,0.21199596,0.20167233,0.19381028,0.17286281,0.13615258,0.09637511,0.07467287,0.08200296,0.11365924,0.15013172,0.17354047,0.17347683,0.1537715,0.12559769,0.105905525,0.10764971,0.13484092,0.17698812,0.2162477,0.23792417,0.24021019,0.23065947,0.2179538,0.20377086,0.18618476,0.16426677,0.14278673,0.12937155,0.12959903,0.14187954,0.15563354,0.15932451,0.14766093,0.1266658,0.10413239,0.08470089,0.067056425,0.052284565,0.044301465,0.048290063,0.06339938,0.08321515,0.09850437,0.10400631,0.10016543,0.09398242,0.09386143,0.10543543,0.12646148,0.14923644,0.16515683,0.16929245,0.16033347,0.13910934,0.10973046,0.081428446,0.06813034,0.08174363,0.12290946,0.17775755,0.22497392,0.25053486,0.25376102,0.24374513,0.2274326,0.20838581,0.1876458,0.16934735,0.15508813,0.1439272,0.13112208,0.11463442,0.09517803,0.07711581,0.06822746,0.081497036,0.12768792,0.20543611,0.29224157,0.35943952,0.3881218,0.38363978,0.3620564,0.3381668,0.31634915,0.29743493,0.28205585,0.27030066,0.2579532,0.23926656,0.21275194,0.18579395,0.16917159,0.1684308,0.17800839,0.187591,0.19055505,0.18934596,0.18864875,0.19066976,0.19170316,0.18874228,0.18279637,0.17979889,0.1857147,0.1990517,0.21189557,0.21295665,0.19907928,0.17623176,0.1562304,0.14630987,0.14223427,0.13471325,0.11776345,0.09964877,0.092344396,0.10221822,0.12160341,0.14122151,0.16002743,0.18475948,0.219977,0.25926736,0.2923603,0.30710688,0.29872507,0.26771405,0.22848408,0.20104617,0.20224296,0.23043104,0.2668054,0.28715447,0.27901018,0.24903102,0.21764703,0.2004748,0.20032017,0.20680691,0.21535634,0.2255609,0.23865455,0.24272443,0.22546744,0.1863395,0.14639564,0.13034768,0.14587767,0.17550266,0.19444044,0.19436061,0.18754081,0.19180448,0.20839588,0.22630773,0.23216033,0.2267695,0.21457517,0.19918881,0.17564543,0.14295979,0.107015945,0.08193006,0.07770532,0.09707562,0.13277465,0.17584546,0.21343511,0.2353319,0.23402904,0.2162522,0.1972842,0.19219536,0.20079075,0.20945837,0.20272106,0.17529963,0.13477948,0.096464776,0.07542038,0.07857513,0.099795006,0.12422842,0.13897961,0.14228816,0.1401412,0.13746421,0.13305777,0.12653598,0.1229948,0.13242729,0.15763222,0.19236839,0.22106896,0.2318412,0.21953368,0.19321163,0.17227483,0.17851098,0.22264546,0.29007506,0.35142326,0.37383732,0.34873715,0.28528836,0.20854068,0.13679391,0.08346507,0.051864754,0.040801097,0.042285327,0.045882776,0.044111323,0.03773263,0.03638989,0.053548757,0.09689697,0.16125917,0.2281472,0.2780787,0.30155316,0.30220374,0.2876018,0.26265275,0.22980587,0.1954237,0.1699121,0.16346122,0.17842777,0.2085482,0.2434957,0.27366427,0.29454955,0.30290136,0.29937825,0.2847179,0.2640433,0.2423976,0.22737217,0.22446851,0.23568101,0.25381008,0.2664087,0.26235098,0.24163431,0.21392693,0.19557916,0.19767283,0.2245154,0.2647175,0.30334756,0.3224961,0.31868684,0.29568005,0.26682946,0.24323069,0.23141742,0.2326893,0.24116547,0.25208983,0.25756985,0.25695315,0.2485648,0.23614411,0.21966933,0.2019115,0.18340765,0.1671542,0.15535022,0.1528995,0.1643749,0.19091982,0.22691727,0.26153862,0.2848355,0.29061472,0.27884114,0.25433806,0.22316669,0.18934752,0.15177898,0.112595074,0.07880155,0.06531125,0.08266867,0.13222402,0.19951074,0.2624718,0.30049443,0.30705193,0.28954932,0.26070723,0.22853269,0.1952353,0.16686143,0.1525504,0.16005307,0.18123989,0.20098025,0.20421763,0.19235654,0.17562892,0.16810243,0.17310779,0.18248491,0.1803209,0.15803754,0.122540176,0.0929886,0.08286062,0.090956755,0.10310685,0.10870216,0.10574604,0.09882853,0.089953,0.07806038,0.06435509,0.054901082,0.057328716,0.071380645,0.08739695,0.092557915,0.084149726,0.07224217,0.07161675,0.08526353,0.10294946,0.111590214,0.11357525,0.12335229,0.15107961,0.1861028,0.20546634,0.19685085,0.16841565,0.14026913,0.12478492,0.12493803,0.13828157,0.16199183,0.1905864,0.21530622,0.23150621,0.23770636,0.23536675,0.22198339,0.20011677,0.17957316,0.17412108,0.18658073,0.20458657,0.213601,0.20966029,0.20157535,0.19605769,0.1923868,0.18299593,0.16370316,0.13513586,0.10483926,0.08237773,0.07554802,0.08326306,0.097474955,0.1090728,0.11589303,0.12149616,0.13230668,0.14995956,0.17127223,0.18726362,0.19354022,0.19195813,0.19019704,0.19039007,0.18949412,0.18354332,0.17462967,0.16643016,0.16047049,0.15367453,0.14638062,0.14225495,0.14966919,0.16841526,0.19049768,0.19988574,0.18978429,0.16536513,0.14062202,0.12536752,0.1200419,0.12117811,0.12488037,0.13092671,0.13755459,0.14347075,0.14491056,0.13998541,0.12746152,0.11175387,0.10203787,0.11104518,0.14543052,0.19819236,0.24954474,0.27868834,0.2780485,0.2547001,0.2222215,0.19060485,0.16518305,0.1502259,0.14802775,0.15791667,0.17346554,0.18902855,0.1988461,0.20148341,0.19571419,0.18602987,0.17659819,0.17171012,0.16834192,0.16279298,0.15250689,0.14379382,0.14409067,0.15767694,0.17525749,0.1858597,0.18332724,0.1818877,0.19638737,0.23524375,0.2796149,0.31214467,0.3212403,0.3220633,0.32256162,0.3243017,0.31105855,0.2804494,0.24139182,0.21277575,0.20354913,0.2114545,0.22993545,0.24941218,0.2619768,0.25586915,0.23085655,0.19511992,0.16706021,0.15456282,0.15669863,0.16650301,0.18246235,0.20162831,0.21417463,0.20962243,0.18997853,0.17369251,0.17571265,0.19632505,0.21696983,0.22360861,0.20977761,0.18568943,0.1590312,0.13714269,0.11746373,0.098736666,0.07938525,0.060764562,0.04521188,0.035967905,0.03821155,0.054191124,0.0828551,0.11810699,0.15343021,0.18197292,0.1988315,0.20221905,0.19562376,0.18407834,0.17069109,0.15507923,0.14050102,0.13223374,0.1353045,0.1450329,0.15581153,0.16322108,0.16948235,0.17266147,0.17205308,0.17210323,0.18779491,0.22995853,0.29164764,0.34792235,0.37283388,0.35778403,0.31387612,0.2628509,0.22236477,0.20009148,0.19272445,0.19358552,0.19690098,0.20132388,0.20456016,0.20181943,0.18727654,0.16257152,0.14135627,0.14111932,0.17179549,0.22243775,0.27117008,0.29474008,0.2878777,0.2592766,0.22648014,0.1999786,0.18119545,0.16638838,0.15431374,0.14685923,0.14470974,0.14558251,0.14810836,0.15269251,0.16039777,0.1675461,0.17009914,0.16515648,0.15479456,0.1402933,0.1240747,0.10968282,0.1055201,0.11702925,0.1417228,0.16660382,0.17924769,0.17486568,0.15917651,0.13957228,0.12204322,0.10989815,0.10734689,0.115377724,0.13013247,0.14364572,0.15174621,0.1549812,0.15551108,0.15175183,0.141389,0.12703356,0.11663205,0.119005,0.13440104,0.15671784,0.1754566,0.18633235,0.18925983,0.18902664,0.18888544,0.19020997,0.19072433,0.18523419,0.16950671,0.14433585,0.11883014,0.104568906,0.10767746,0.12258292,0.13721888,0.14237727,0.13904801,0.13343944,0.13027859,0.12697257,0.12095284,0.112887405,0.10998469,0.117458545,0.13583362,0.1585197,0.17602365,0.17990218,0.16708487,0.14221247,0.114999585,0.09559244,0.08969993,0.098865144,0.11964619,0.1468233,0.17204702,0.19052435,0.19899814,0.19977744,0.19437867,0.18637349,0.17605478,0.16401707,0.14842565,0.13029242,0.11068577,0.092448615,0.0774577,0.068534374,0.06723168,0.07285122,0.08100199,0.08619996,0.08462254,0.07786906,0.07155102,0.07115587,0.07602459,0.07944804,0.07629195,0.0683072,0.06513506,0.0723868,0.089020304,0.106115915,0.120250545,0.13327445,0.15203828,0.17772354,0.20570792,0.22546072,0.22841074,0.2126205,0.18753622,0.16646051,0.15961677,0.16477974,0.17285354,0.17131348,0.15506734,0.1279233,0.103308015,0.09453752,0.10478849,0.12527741,0.14021039,0.14052443,0.12558189,0.10609562,0.09417861,0.099027015,0.117410354,0.1358426,0.14100623,0.13197821,0.12247143,0.12528092,0.13990158,0.15096734,0.1460004,0.12857729,0.12000964,0.14006154,0.18968104,0.24661922,0.2839149,0.29078782,0.27760348,0.26385155,0.26087418,0.26833242,0.27666828,0.27668068,0.2632526,0.24052942,0.21638013,0.19991098,0.1938595,0.1988007,0.20991838,0.22173584,0.22620536,0.22086965,0.20695718,0.19025727,0.1740659,0.16271923,0.15755117,0.1590776,0.16100612,0.16029723,0.15772073,0.16168867,0.17280513,0.18369281,0.17956565,0.15511693,0.11667165,0.08118745,0.064735204,0.07474906,0.10911489,0.15706982,0.20747177,0.24775279,0.26960874,0.26853612,0.24922067,0.22247005,0.1997692,0.1857772,0.17863227,0.17499,0.17846338,0.19227964,0.21353583,0.22371584,0.20759888,0.16316696,0.11162133,0.0765344,0.07088589,0.08568215,0.10244753,0.10621358,0.09936825,0.09446705,0.10371697,0.12418774,0.14513354,0.15455157,0.150934,0.13854802,0.12481272,0.11614915,0.119205795,0.13891399,0.17284973,0.20754941,0.22488846,0.21351255,0.17817707,0.1349095,0.10332195,0.096217014,0.11649332,0.15486912,0.19344012,0.2141326,0.20789017,0.18244661,0.15772617,0.1553575,0.18205748,0.22354548,0.25381812,0.25410837,0.22700138,0.19034433,0.1637425,0.15577036,0.16728437,0.19085203,0.21715873,0.23094724,0.22647841,0.20654029,0.18582861,0.1731338,0.16804178,0.16351275,0.15393333,0.14298882,0.13658954,0.14452195,0.16697103,0.19841821,0.22155313,0.22520047,0.20770584,0.18314637,0.16309358,0.15008377,0.13615821,0.12004316,0.11046258,0.12141189,0.15451805,0.19781433,0.23117244,0.24269348,0.23468494,0.22245465,0.2234082,0.24468966,0.28076974,0.31730896,0.34278667,0.35205838,0.3461587,0.32881808,0.30456087,0.2797096,0.2586034,0.24155253,0.22298521,0.1972657,0.16581349,0.13979132,0.13387783,0.1537681,0.19012125,0.22585541,0.24984336,0.2619585,0.26679525,0.26389417,0.25301483,0.23584157,0.22506869,0.22785245,0.2476347,0.2707568,0.2867125,0.28770357,0.28168225,0.2759869,0.27454853,0.27339455,0.2707869,0.27187622,0.283734,0.30709228,0.33026576,0.33785474,0.32256892,0.29257718,0.2649137,0.2506974,0.24907489,0.2497905,0.24568586,0.23253082,0.20958532,0.17359169,0.12986006,0.09170892,0.08154348,0.10947102,0.16823705,0.23015209,0.269798,0.27487522,0.25437045,0.22611785,0.20763434,0.20564221,0.21494432,0.22264268,0.2189817,0.20345663,0.18138897,0.15525547,0.123790175,0.087817706,0.053746264,0.02936782,0.020941945,0.034157876,0.07750159,0.14856176,0.22996874,0.28680232,0.30183643,0.28007656,0.2536247,0.24096836,0.24650712,0.25496188,0.25740418,0.24860929,0.2308991,0.20762728,0.18463929,0.1695957,0.16753149,0.1809717,0.20436676,0.22878848,0.24116726,0.23710454,0.22079515,0.20555288,0.19869296,0.19970475,0.20316696,0.20835346,0.2175278,0.2280628,0.23140144,0.21937817,0.19354324,0.16371028,0.14096873,0.13138592,0.13518809,0.15017901,0.17268074,0.19551504,0.20889561,0.2049992,0.18482132,0.15607958,0.12741281,0.10492566,0.09343318,0.09788364,0.11889418,0.15052663,0.18084878,0.19951105,0.20197749,0.19297017,0.18149175,0.17689937,0.18382187,0.20060034,0.21961029,0.22850889,0.21999328,0.1963052,0.17103517,0.15501745,0.15100347,0.15260236,0.15689339,0.16544484,0.1822647,0.20512252,0.22686715,0.23999007,0.24159445,0.23417692,0.22203927,0.2089892,0.19759136,0.18834747,0.17939323,0.16418727,0.1378877,0.10202087,0.06827516,0.050435264,0.055582345,0.07999583,0.11246046,0.14405102,0.17076325,0.19528057,0.21701218,0.23467171,0.24330004,0.2462939,0.24859165,0.26029432,0.2818287,0.30851278,0.32527855,0.32372487,0.30294296,0.27662465,0.255535,0.2477205,0.2487567,0.25671098,0.26440188,0.2712277,0.272182,0.26757783,0.2536748,0.2310753,0.20272128,0.17745583,0.1629238,0.15889056,0.15655719,0.14459965,0.11888095,0.084838025,0.05408454,0.036836103,0.037773803,0.05247304,0.07054908,0.080342546,0.08217177,0.09065584,0.12686534,0.1975619,0.28456622,0.35584128,0.3858097,0.37331185,0.33191136,0.28133538,0.23280399,0.19671656,0.17650872,0.17156875,0.1709766,0.16502658,0.15055168,0.13239335,0.11597871,0.10094848,0.08595661,0.071506314,0.06463879,0.07060326,0.0891994,0.11225331,0.13107897,0.14325254,0.15127617,0.15825404,0.16135736,0.15689331,0.14354068,0.12566283,0.10879734,0.095968455,0.08686788,0.08030067,0.077747494,0.08476842,0.105349205,0.13739252,0.16758724,0.18285857,0.17683083,0.15732467,0.13471636,0.11507849,0.09826734,0.08640057,0.090567075,0.12088433,0.17738454,0.24080384,0.28871346,0.30553332,0.29509786,0.2707431,0.2509584,0.24744515,0.2634806,0.2896882,0.3119949,0.32227436,0.32402095,0.3278117,0.33703586,0.35001776,0.36088097,0.36901832,0.37035692,0.36236057,0.3435099,0.32066938,0.29946673,0.28183982,0.26190928,0.23688483,0.20705219,0.1790597,0.15499683,0.13538553,0.11872712,0.11115509,0.11895791,0.14391673,0.17655021,0.20625384,0.22598357,0.23637842,0.23985495,0.2411918,0.24267103,0.2428775,0.2337914,0.2093615,0.17030746,0.12587182,0.086361855,0.059916284,0.05079412,0.058004055,0.074100055,0.08690106,0.08964815,0.08698321,0.09501678,0.12766404,0.18493743,0.248915,0.2942491,0.3027568,0.27204993,0.21422303,0.14771931,0.08916855,0.049033344,0.032132745,0.04111134,0.0754173,0.12676291,0.17669314,0.20564944,0.20593666,0.1860287,0.1612466,0.1423791,0.1322598,0.12874322,0.12689345,0.120106965,0.10373891,0.07908214,0.053178284,0.033097945,0.021522747,0.019543998,0.032240804,0.07202143,0.14530185,0.24119122,0.32665476,0.3716831,0.36747837,0.33362973,0.29411557,0.2643855,0.24287468,0.22290386,0.19420576,0.1550958,0.1125164,0.08470837,0.085083574,0.113823354,0.15555352,0.19320095,0.21776295,0.22920537,0.22968708,0.21996509,0.20349109,0.18798985,0.18449982,0.19861555,0.22700019,0.25621653,0.27035746,0.26033202,0.22768098,0.18290053,0.13863362,0.108497836,0.103164755,0.12392024,0.1579388,0.18362749,0.18903114,0.18150312,0.18198623,0.2031647,0.236221,0.25966772,0.25981396,0.2457114,0.23769717,0.24875371,0.2717667,0.28888744,0.287546,0.2678415,0.23905386,0.20887785,0.18295886,0.16466416,0.15886326,0.16597874,0.18044078,0.19266249,0.19653071,0.1935032,0.18844408,0.18568157,0.18463625,0.18366432,0.18032317,0.17592885,0.17258549,0.17483349,0.18551296,0.20534551,0.22875421,0.24477072,0.24348108,0.22435264,0.19924921,0.18167718,0.17443728,0.16739397,0.15085593,0.1301583,0.122208975,0.13844676,0.17010385,0.19424617,0.1936366,0.17050822,0.14474423,0.13405144,0.1406811,0.1495364,0.14597835,0.12914713,0.112058796,0.10854158,0.120814286,0.14175844,0.16031413,0.17240407,0.17967843,0.1888056,0.20053923,0.20932393,0.20552097,0.18733425,0.16124924,0.1397977,0.13097037,0.13889265,0.15926744,0.18542655,0.20590174,0.21724008,0.22330226,0.23701401,0.262964,0.29244074,0.30577978,0.28965783,0.24888442,0.20438667,0.17979552,0.1840295,0.20572339,0.22384183,0.2275909,0.22562325,0.23379408,0.25326157,0.26628447,0.25033194,0.20287997,0.14357339,0.1051335,0.10868395,0.15568568,0.22383122,0.28605387,0.32016003,0.3258921,0.31250417,0.2969325,0.28131518,0.2631834,0.23311739,0.1980884,0.16977207,0.16271637,0.17179483,0.18558776,0.18967034,0.18376422,0.16988124,0.15325226,0.13557714,0.12175634,0.11661113,0.122134686,0.13578069,0.15130667,0.16402762,0.16937204,0.16598342,0.15384679,0.13781877,0.12472606,0.121875666,0.13266575,0.15310223,0.17279144,0.17826311,0.16287448,0.12969242,0.091459274,0.060953677,0.046401262,0.049820792,0.07138276,0.10995805,0.16066396,0.21344034,0.25684285,0.28413054,0.29578856,0.2948185,0.28482842,0.26782134,0.25054762,0.2409731,0.24673486,0.26503634,0.2848835,0.292667,0.2843367,0.2664536,0.25009775,0.23977982,0.23288262,0.22220658,0.20585017,0.18679686,0.17349859,0.17007618,0.17544037,0.18198223,0.18229882,0.17214866,0.15352829,0.1350729,0.12511191,0.12517913,0.12451971,0.11325731,0.091261186,0.07396156,0.075692214,0.099434435,0.13110116,0.15368392,0.15792711,0.14845037,0.13556857,0.12719579,0.12549525,0.1290154,0.13610967,0.14386134,0.15162517,0.16102535,0.17728132,0.20041072,0.22414899,0.23833512,0.23919027,0.23015982,0.21778053,0.20589645,0.19598742,0.19009297,0.19060443,0.19731672,0.20547946,0.2086944,0.20567602,0.20114274,0.20254944,0.21113057,0.22309218,0.23262113,0.2379188,0.23726512,0.2277785,0.20613949,0.17616014,0.14675312,0.12590976,0.111458324,0.09744772,0.08165354,0.07182967,0.073345,0.08299608,0.08694413,0.07754494,0.057595838,0.040577725,0.038222518,0.05659464,0.0962738,0.15001403,0.20546813,0.24574876,0.26608923,0.27540898,0.289826,0.311749,0.32403424,0.3055381,0.24960399,0.17308553,0.10027853,0.050255295,0.028292561,0.033574846,0.061308444,0.10277053,0.1421959,0.16365986,0.16065562,0.140683,0.11961224,0.11288348,0.13159247,0.17724447,0.24194677,0.3054018,0.35086706,0.36837456,0.36522016,0.35003603,0.33382544,0.32161775,0.31810918,0.32459274,0.33488223,0.33974752,0.32791805,0.30240548,0.27407733,0.26091638,0.2669356,0.28451025,0.2959168,0.2928643,0.2763065,0.255861,0.2360547,0.21871184,0.20389317,0.19547524,0.196661,0.20505248,0.21303727,0.21317832,0.20681804,0.20120545,0.20289828,0.20961285,0.2149774,0.21549203,0.21404867,0.21478708,0.2168662,0.21757276,0.21395941,0.20723467,0.19521065,0.17513096,0.14429747,0.10829536,0.07765693,0.06276228,0.06776016,0.0924946,0.13398181,0.1865067,0.23749106,0.27305225,0.28507212,0.27739963,0.26223823,0.25107974,0.2518413,0.26288867,0.27838373,0.28766334,0.2861435,0.275094,0.26277372,0.25639772,0.25951603,0.26870647,0.2790092,0.28374216,0.28215837,0.27216947,0.25949612,0.24833274,0.2484421,0.2594273,0.27646196,0.28919065,0.29354468,0.29092935,0.28461158,0.27510044,0.26176497,0.24623437,0.23627603,0.23787393,0.25269482,0.2722586,0.28979632,0.30020905,0.3048942,0.30174223,0.29309618,0.28239563,0.28063467,0.29021844,0.3083217,0.32258108,0.3277136,0.32369027,0.31746206,0.31357023,0.3107221,0.3045977,0.28966615,0.2697068,0.25134295,0.24504761,0.250539,0.26224756,0.2681004,0.26140395,0.24273461,0.22037445,0.20661528,0.20430277,0.2094668,0.20634972,0.18811141,0.15218057,0.110172324,0.071872406,0.04815064,0.041995883,0.05404081,0.08097273,0.11726781,0.15387772,0.1814373,0.19649446,0.20301674,0.20515428,0.20021112,0.1816436,0.1515971,0.124154635,0.114583045,0.12475226,0.14033233,0.14485101,0.13144016,0.107874565,0.08642613,0.07561982,0.07499986,0.078687586,0.08106942,0.079663344,0.07501077,0.068104096,0.060513422,0.05548069,0.058313895,0.07439649,0.1036385,0.13889585,0.16849683,0.18685466,0.19731386,0.20876451,0.22320871,0.23667,0.24433728,0.2512054,0.26506886,0.2875056,0.30724394,0.30898318,0.28971067,0.25964937,0.23755455,0.22997077,0.23747732,0.25106752,0.26846206,0.28083327,0.28323555,0.2660339,0.23018491,0.1796295,0.12638807,0.08182924,0.056222364,0.05270192,0.06493032,0.0793958,0.08265484,0.070783116,0.050017145,0.030828478,0.019506484,0.01727476,0.026808515,0.05462554,0.109287046,0.184408,0.2613684,0.31129572,0.32377383,0.30209365,0.26572087,0.22723459,0.19681703,0.17629379,0.16540527,0.16049129,0.15950215,0.16373259,0.17414637,0.18842678,0.20066182,0.20677893,0.2075227,0.2057113,0.20366924,0.19761801,0.18533765,0.16702126,0.15254231,0.14825042,0.1560482,0.17050643,0.19019647,0.21380436,0.23500107,0.24095987,0.22274838,0.18475936,0.14114241,0.10851633,0.09717834,0.11056086,0.14040963,0.17476338,0.20185405,0.22338802,0.24650395,0.27903587,0.31553078,0.34051907,0.33652532,0.29883868,0.24325125,0.19593339,0.17723344,0.186601,0.20981884,0.23075102,0.2422293,0.24288453,0.23346436,0.21470748,0.1891901,0.1608427,0.1352819,0.11776542,0.112387516,0.118182875,0.12965073,0.14088267,0.14822973,0.15254998,0.15215488,0.1456046,0.1294261,0.10764032,0.08852532,0.084286176,0.098804735,0.12604715,0.150966,0.16345483,0.16247457,0.15617923,0.15001293,0.14408234,0.13461228,0.1202944,0.10391301,0.08996291,0.0849243,0.09384843,0.11779309,0.1480363,0.17022431,0.17318588,0.15754801,0.13594122,0.12298083,0.12591131,0.13885449,0.14983541,0.14900471,0.13578244,0.116298534,0.09932136,0.08980032,0.08729872,0.08524109,0.07755181,0.063333206,0.049758855,0.046798855,0.059195142,0.083097555,0.106100775,0.11784538,0.11408622,0.103023894,0.09629884,0.10437084,0.12600912,0.15163015,0.16711473,0.16674201,0.15545376,0.14728035,0.1511333,0.16546893,0.177332,0.17506276,0.1543223,0.121396154,0.085631914,0.055491287,0.034343723,0.023783581,0.024758756,0.040931553,0.07261043,0.11573409,0.15743522,0.1872933,0.1989661,0.19771637,0.19094117,0.18751693,0.18949294,0.19482982,0.19781013,0.19506364,0.18695106,0.17623149,0.16586281,0.15746295,0.1529187,0.1519952,0.15179819,0.14519256,0.127392,0.09983319,0.07259381,0.0558386,0.05301814,0.057635825,0.0611857,0.06106705,0.062344223,0.07030345,0.08234484,0.08957436,0.08500274,0.07176983,0.059151977,0.05510169,0.059452623,0.068229854,0.07713712,0.08442534,0.08803759,0.087465756,0.08522772,0.086387396,0.09295911,0.10042429,0.10226383,0.09639153,0.08720674,0.07918886,0.07199036,0.0621022,0.048277486,0.035070993,0.02953872,0.037885454,0.05986951,0.08892266,0.113083124,0.12432212,0.12165481,0.11161523,0.09900584,0.085702784,0.072098374,0.06275716,0.06350636,0.07622635,0.09559011,0.11269349,0.12174552,0.1225135,0.118849404,0.1137883,0.10818842,0.10152159,0.09396156,0.08701173,0.08086101,0.074244455,0.064233445,0.051737756,0.04246665,0.047419757,0.07454661,0.12324947,0.1805736,0.22891943,0.2553571,0.25878826,0.24853064,0.23553401,0.22617878,0.21799509,0.20705311,0.1929103,0.18173401,0.17918348,0.18386239,0.1877414,0.1824587,0.16591646,0.14301442,0.119832404,0.104736656,0.1060198,0.13890189,0.20596029,0.29389283,0.36462346,0.39114687,0.3678898,0.31922808,0.26907814,0.23044892,0.20370138,0.18872029,0.19120264,0.21208905,0.2431823,0.26431826,0.261556,0.23429418,0.19749385,0.16786592,0.15465099,0.15477432,0.15816425,0.15512621,0.14306223,0.12607192,0.113612324,0.11517197,0.13504359,0.16592449,0.19127856,0.19617929,0.17710102,0.14375456,0.11078397,0.09138594,0.09006939,0.1030251,0.119238056,0.13063712,0.1349455,0.13579309,0.1357128,0.13555346,0.13634509,0.14009468,0.14811336,0.15855068,0.16875286,0.17778818,0.18714611,0.1986924,0.21189626,0.22322021,0.22726472,0.21830119,0.19576104,0.16475135,0.13752866,0.1216395,0.116951875,0.11305978,0.10401217,0.09310753,0.09197261,0.10709596,0.13463269,0.16378951,0.1862825,0.19965906,0.20687933,0.21046634,0.2121193,0.21192044,0.21300513,0.22021975,0.23573904,0.25499022,0.26742813,0.26465693,0.24438757,0.21473877,0.18906927,0.18040971,0.18959598,0.20672488,0.21850912,0.22000651,0.21406205,0.20337425,0.19000416,0.17458539,0.16437887,0.16418616,0.17726617,0.19712663,0.21445279,0.21990168,0.21091753,0.19201432,0.17076553,0.1540115,0.14406091,0.13733225,0.1270242,0.10838386,0.08594966,0.07040531,0.06991742,0.08235573,0.09720993,0.10759442,0.11469253,0.12585598,0.14409094,0.16668363,0.1899571,0.21166362,0.22861445,0.23184657,0.21491015,0.18243855,0.15157719,0.13799207,0.14384513,0.1577652,0.16707611,0.16738306,0.16486293,0.16700651,0.17565638,0.18231706,0.1790967,0.16663599,0.15663038,0.15824664,0.17029889,0.18427837,0.19508727,0.20355786,0.21088783,0.21455185,0.2127074,0.20765789,0.20583503,0.20947807,0.21653575,0.21921863,0.21261786,0.19268768,0.16229866,0.12658744,0.096750885,0.08330063,0.092968404,0.12118647,0.15268178,0.1709277,0.16977967,0.15910208,0.15393196,0.16230696,0.17773205,0.18904805,0.1877151,0.17672975,0.16276856,0.15595837,0.15946828,0.17233996,0.18750535,0.20012806,0.20961459,0.21778667,0.22443609,0.2247045,0.21481512,0.19410549,0.16804194,0.14309703,0.12871383,0.13082694,0.15240663,0.18495643,0.21737957,0.23788106,0.24406278,0.2346906,0.21314795,0.18441492,0.16280611,0.1582657,0.17126954,0.18574704,0.18893032,0.17837305,0.1663817,0.16257136,0.16812496,0.17269672,0.16582555,0.1443511,0.118258774,0.104502834,0.11499212,0.14619921,0.18013795,0.19845921,0.19613461,0.18398924,0.17841695,0.18728024,0.20689714,0.22602832,0.23606677,0.23469,0.22535072,0.21504748,0.2087303,0.20991157,0.21492398,0.21969074,0.21827342,0.21280539,0.20665765,0.20576762,0.20863323,0.21325737,0.21741094,0.22658671,0.24592061,0.27474967,0.29918897,0.3034807,0.28144914,0.24580307,0.2126265,0.19144547,0.17585416,0.16093135,0.14651392,0.14356638,0.15776636,0.1877666,0.21974654,0.24015552,0.23973008,0.2222722,0.19707303,0.17607827,0.16261481,0.15646644,0.15309286,0.15280963,0.15535082,0.16287541,0.17529617,0.19405437,0.21693633,0.23858416,0.24956547,0.24323589,0.2181191,0.18056428,0.14220515,0.11697585,0.11361417,0.12891977,0.14893632,0.15673585,0.14525874,0.11897787,0.09278095,0.079142794,0.0849131,0.10377864,0.12636726,0.14156105,0.14976366,0.15494269,0.16626622,0.18290551,0.2008989,0.21090324,0.211981,0.20644212,0.20189202,0.20169933,0.20675635,0.21379066,0.21972936,0.22224891,0.22072381,0.21548064,0.21000116,0.20765321,0.21167417,0.21879025,0.22760862,0.23586138,0.24633622,0.25614604,0.26548192,0.27305213,0.28452215,0.29865447,0.3125188,0.3163886,0.30693004,0.28463075,0.25749,0.23283939,0.21433817,0.1983869,0.1779403,0.14858347,0.11388427,0.08561423,0.07868257,0.100827396,0.14610171,0.19553758,0.22967552,0.23900634,0.22756942,0.20636868,0.18670094,0.17570525,0.17532617,0.1816998,0.18814248,0.18850209,0.18164025,0.17060898,0.16063504,0.1560482,0.15933192,0.17000143,0.18432473,0.19631742,0.20199394,0.19905472,0.1888821,0.17413104,0.16465797,0.16875875,0.19080114,0.22070317,0.24832256,0.26501128,0.27238703,0.27131942,0.2661946,0.2616316,0.26318416,0.26940376,0.2722013,0.26378533,0.24427885,0.22319414,0.21119304,0.21537238,0.23152506,0.24902415,0.25334427,0.24017511,0.21669899,0.1976959,0.19144833,0.19399406,0.19552083,0.19322205,0.1950878,0.2112959,0.23967922,0.26842853,0.286603,0.29516062,0.29903007,0.29832482,0.2884742,0.26925203,0.24763012,0.22926639,0.21145909,0.18605822,0.14900808,0.10527095,0.06631326,0.04452346,0.0506613,0.08755911,0.14625406,0.2029212,0.23542587,0.2359826,0.21914226,0.20131187,0.1892665,0.17429702,0.15120484,0.123681225,0.105172314,0.10317701,0.115846775,0.13241182,0.14436017,0.14819525,0.14578654,0.13846897,0.12763806,0.11447826,0.10148075,0.089499496,0.07817535,0.068003215,0.06377012,0.072856314,0.09886089,0.13530998,0.16873263,0.18827766,0.1940497,0.19276625,0.18951313,0.18408523,0.17593248,0.16733856,0.16147365,0.15852647,0.15756409,0.15652174,0.15515856,0.15029122,0.14154439,0.12762468,0.11159288,0.09451754,0.080803365,0.0741817,0.07944837,0.09507927,0.11502049,0.13005799,0.13586539,0.13222218,0.12173974,0.10497553,0.08387584,0.064287886,0.05691642,0.06964578,0.10143515,0.14041008,0.17172508,0.18333538,0.17330189,0.14865728,0.12743764,0.12797964,0.15961583,0.21218736,0.26270926,0.29088816,0.29118618,0.27428296,0.25434676,0.24118875,0.23656172,0.24040313,0.25341752,0.27583882,0.30264553,0.32313362,0.32508945,0.30380246,0.2648088,0.22334348,0.19228898,0.17856376,0.1795054,0.19293706,0.21549332,0.24252053,0.26263496,0.26493177,0.24946707,0.22744256,0.21371937,0.20966823,0.20766945,0.19735183,0.18089561,0.16762717,0.16625352,0.17523812,0.18445273,0.18491463,0.17342894,0.1558243,0.13864687,0.12748812,0.12138441,0.11736667,0.1113762,0.10397921,0.09872555,0.10053706,0.10947314,0.12119416,0.1303982,0.13716485,0.14615291,0.15993397,0.17461129,0.1820525,0.17855026,0.16767174,0.1564577,0.1489355,0.1424184,0.13167803,0.11225578,0.08589378,0.058833744,0.040154334,0.036549542,0.049166154,0.07174966,0.092603125,0.10106662,0.09369195,0.07562425,0.055388916,0.039955214,0.03307194,0.036630403,0.04943329,0.06842888,0.08991588,0.113666415,0.13738494,0.15517671,0.15778585,0.14481945,0.12538704,0.11123863,0.10497597,0.1002948,0.091801025,0.08132058,0.07764584,0.08829662,0.11195455,0.13827248,0.15191887,0.14627165,0.123953104,0.097030185,0.07406335,0.061086614,0.060343612,0.07593537,0.10702825,0.1456545,0.17590697,0.18706565,0.1796761,0.16538578,0.15322877,0.1441843,0.13283387,0.11733225,0.10145,0.09091228,0.08701175,0.08674603,0.08642428,0.0857232,0.08593274,0.08719263,0.08638436,0.08114641,0.07307163,0.06761509,0.06973696,0.07976532,0.093698025,0.10443804,0.10637373,0.097628534,0.082363516,0.067028396,0.057317514,0.055394392,0.061636243,0.075721234,0.096172564,0.1192038,0.13754486,0.14509441,0.13914107,0.12411979,0.106630616,0.09360149,0.08802422,0.08943912,0.09419841,0.097713195,0.09882908,0.09933656,0.10273692,0.108275,0.113767214,0.116946936,0.119927615,0.12375476,0.12772577,0.12722795,0.12019992,0.10753281,0.094495684,0.08654889,0.08801455,0.09965971,0.11791346,0.1359015,0.14650951,0.14687975,0.13938685,0.12941025,0.12050393,0.112883575,0.10510687,0.09929783,0.10061265,0.11408631,0.1356559,0.15477197,0.16010119,0.15293737,0.14314462,0.1409273,0.14320278,0.14080434,0.12850691,0.11498026,0.111275695,0.12139567,0.13502645,0.14165695,0.13779488,0.13389903,0.13964991,0.15802465,0.17880052,0.19119738,0.18850082,0.17367642,0.15246771,0.13165267,0.11562408,0.10794372,0.11013799,0.11994132,0.13183863,0.13997944,0.14399712,0.1471972,0.15256621,0.1586508,0.16214798,0.16314852,0.1650647,0.17192669,0.18276983,0.19217174,0.19457954,0.18682611,0.1709788,0.14897214,0.12597716,0.10599082,0.09410819,0.08919075,0.08630815,0.08028958,0.073822856,0.07681651,0.09684453,0.1306795,0.16388305,0.18490468,0.19197227,0.1947586,0.19896163,0.20467591,0.20431572,0.19527274,0.17776953,0.15671562,0.13520369,0.11718594,0.10544515,0.102903195,0.10838759,0.119691886,0.13149263,0.14158188,0.14660351,0.14851366,0.14896066,0.15319352,0.1609561,0.16954906,0.17132215,0.16330431,0.14712138,0.13114057,0.122121446,0.12234137,0.12740801,0.13129179,0.13214588,0.1321906,0.13564208,0.14091837,0.14476116,0.14306796,0.13840075,0.13339043,0.13069952,0.12734015,0.12238953,0.11633715,0.11421392,0.11678266,0.12135574,0.122220494,0.12052184,0.123147346,0.13781,0.16104496,0.17950433,0.17914666,0.15903203,0.13019149,0.10580352,0.0910506,0.08603129,0.09081719,0.10722935,0.1329521,0.16189998,0.18629938,0.20140217,0.20327039,0.19076413,0.16648537,0.13984136,0.12037199,0.11250302,0.111003466,0.10843077,0.10037845,0.089306355,0.07877981,0.07093396,0.06551747,0.06281811,0.06346608,0.067788124,0.0752058,0.085137226,0.09687359,0.10884724,0.117847,0.12039626,0.114953466,0.103520416,0.089812845,0.07707933,0.066964455,0.06170563,0.06358908,0.073215,0.086321555,0.09639398,0.098229535,0.09223654,0.0829263,0.076197624,0.0747344,0.077495836,0.08056281,0.08074803,0.078216426,0.078859694,0.0934357,0.12953608,0.18578534,0.24766628,0.30208445,0.33970448,0.36225787,0.36785892,0.3571672,0.33079386,0.2978473,0.26991966,0.25477597,0.2552552,0.2676861,0.29181683,0.32144678,0.3470652,0.34940982,0.32117036,0.27003363,0.22134094,0.1932783,0.18953769,0.19659412,0.202258,0.20350508,0.20880468,0.22297783,0.2431971,0.26233485,0.28079692,0.3034804,0.3265885,0.3357159,0.3130044,0.25913885,0.19083838,0.13707611,0.114898205,0.12532811,0.15105708,0.17396434,0.18290065,0.17674266,0.15784097,0.12966202,0.09914392,0.07830188,0.080249935,0.11112547,0.16330296,0.21982028,0.26238093,0.28294834,0.28260288,0.26797017,0.2433366,0.21129757,0.17621608,0.1476055,0.13574381,0.14346446,0.16244854,0.1814037,0.19595708,0.21119837,0.23252392,0.25718975,0.27531075,0.27705035,0.25961605,0.22673948,0.1862653,0.14831787,0.12379325,0.121646486,0.14199725,0.17457782,0.20241238,0.21276355,0.20328581,0.18291314,0.1664012,0.1683187,0.19414504,0.23599605,0.27536163,0.29744443,0.29898462,0.2889315,0.27708796,0.26981565,0.2651846,0.25669295,0.23606539,0.20097028,0.15684773,0.11354518,0.081172235,0.06595019,0.06911861,0.0828136,0.09374455,0.09122626,0.076899186,0.063437685,0.063237846,0.07755605,0.09497857,0.10291016,0.098279916,0.09224821,0.10025402,0.13127987,0.17888504,0.22509252,0.24963856,0.2420495,0.20742051,0.16112228,0.11891382,0.08734026,0.066311836,0.053852636,0.050166592,0.055321146,0.067695625,0.08563629,0.10719719,0.12907916,0.14406085,0.14550169,0.13113715,0.106108695,0.07829099,0.05560297,0.043446895,0.048941117,0.07875267,0.13750134,0.21664464,0.29928884,0.36175093,0.3928442,0.39007926,0.36555967,0.32785168,0.2847816,0.23522681,0.18116002,0.12662546,0.08028301,0.047641683,0.02911838,0.020480268,0.016589671,0.013801732,0.0105635,0.0069701285,0.0039966977,0.0026115882]