[0.2132957,0.19966535,0.17304772,0.14417057,0.118088044,0.092473865,0.06638725,0.04519702,0.038575005,0.049382925,0.06981331,0.08618469,0.09536913,0.11260885,0.1615741,0.25151572,0.3632271,0.46352735,0.52682614,0.5498758,0.5403838,0.50988376,0.46610567,0.41787934,0.3680148,0.32012165,0.28002986,0.26421863,0.27927423,0.3138623,0.336414,0.32692504,0.28721812,0.23855595,0.1982432,0.17354514,0.16630767,0.17697567,0.20355149,0.23410814,0.2538698,0.25333306,0.24121495,0.23893972,0.26506078,0.3179946,0.37416103,0.40846756,0.4090147,0.3841926,0.3474003,0.30881903,0.2702099,0.22906621,0.18566518,0.14463393,0.11642169,0.10530087,0.10782242,0.11201274,0.11168352,0.107887715,0.1102061,0.12667137,0.16177899,0.20762205,0.2485014,0.2660148,0.2553487,0.22311805,0.1824206,0.14276886,0.11229646,0.09818535,0.10176251,0.11565543,0.12606025,0.12569717,0.116164565,0.108512126,0.1134454,0.14071445,0.18948857,0.24832328,0.29305002,0.30629015,0.2865934,0.2522744,0.22041601,0.1969877,0.17583908,0.15318589,0.13027437,0.10986709,0.09231504,0.08152958,0.08885277,0.12165094,0.16951591,0.20304953,0.19806604,0.15559818,0.103392266,0.07425002,0.08678168,0.13715564,0.20527893,0.26602903,0.30408254,0.3186667,0.3170786,0.30466554,0.28191182,0.2561924,0.23708166,0.23379354,0.2379211,0.24070299,0.236713,0.23289275,0.23044924,0.22404295,0.2096067,0.19124043,0.17869592,0.1754883,0.18581635,0.21638627,0.27306822,0.34771702,0.41744956,0.463212,0.47729373,0.468743,0.44421935,0.41436672,0.38337508,0.3609959,0.3438559,0.32670882,0.29862455,0.2641627,0.2328654,0.21383148,0.20330256,0.19040795,0.1676541,0.13477892,0.10288852,0.08752748,0.101094685,0.14158657,0.19083178,0.22939813,0.24675928,0.24763186,0.23860644,0.22420694,0.20454836,0.18248256,0.16132161,0.14212926,0.122969836,0.106622785,0.107118644,0.14429156,0.22834913,0.34444514,0.455678,0.5253356,0.53825027,0.5077415,0.4556688,0.39899087,0.3424226,0.29002848,0.24629734,0.21429145,0.18895178,0.16210715,0.13008185,0.09932249,0.08100718,0.07988044,0.09045512,0.100201525,0.10392022,0.1040637,0.10784588,0.115403414,0.120968156,0.117777355,0.10488892,0.08964565,0.08235442,0.0910694,0.112695985,0.13615738,0.14689529,0.13966203,0.11932265,0.098340295,0.08635076,0.08565953,0.093994476,0.10889081,0.13279568,0.1652785,0.20068198,0.22510703,0.23144072,0.22511435,0.22437465,0.24123244,0.27172315,0.2976353,0.30482063,0.29566547,0.2853186,0.28781196,0.30244303,0.3222889,0.33816192,0.34910598,0.348595,0.33107468,0.29086235,0.23720153,0.18824168,0.16088425,0.15966661,0.1739495,0.19316804,0.20942213,0.22461303,0.23705234,0.24564093,0.24430762,0.23119354,0.20675607,0.17883581,0.15798984,0.15284503,0.1621264,0.17624523,0.18358354,0.18110667,0.17261285,0.16570662,0.16090791,0.15401037,0.13764101,0.112474196,0.087516434,0.075199954,0.08018211,0.09506943,0.10911039,0.11641204,0.1210049,0.12644543,0.13158129,0.12889583,0.11690029,0.10135997,0.09180225,0.08841843,0.08433598,0.07382884,0.06299471,0.06449013,0.086021096,0.12112274,0.15396594,0.17132926,0.17344965,0.17398946,0.19027571,0.23037773,0.2843959,0.33028352,0.34526494,0.32145843,0.26707983,0.20251681,0.14758591,0.114862956,0.10670411,0.12172607,0.15743558,0.21105707,0.27113327,0.32167462,0.34543678,0.33844045,0.30845734,0.2779528,0.26731908,0.28762874,0.3261234,0.36134312,0.3735459,0.362198,0.33572364,0.30868515,0.2911236,0.29298994,0.31286657,0.34065092,0.35325813,0.33717299,0.29416907,0.2531392,0.24604647,0.2885777,0.36187747,0.42833516,0.46189502,0.45946053,0.43715894,0.40540597,0.3733617,0.3449184,0.32559225,0.31272942,0.29860076,0.27906182,0.2560977,0.24022697,0.23605256,0.242881,0.2497199,0.24721234,0.23364763,0.21781021,0.21223505,0.21816117,0.22607678,0.22062421,0.19995175,0.17248283,0.14984593,0.13195615,0.11415887,0.097644486,0.09343184,0.110252894,0.141626,0.16944017,0.17713867,0.16191748,0.13422348,0.11145534,0.11153656,0.14381419,0.20278804,0.26557115,0.3060759,0.31078103,0.28855267,0.26170978,0.24922557,0.25543082,0.2680092,0.27171633,0.25752762,0.23266792,0.20908482,0.19380857,0.17929573,0.15669739,0.12992875,0.121443935,0.15111865,0.21871473,0.29541078,0.35180488,0.3723456,0.3690003,0.35641626,0.34591532,0.33384946,0.31705606,0.29223228,0.26195788,0.22691655,0.19156925,0.16447407,0.16351809,0.20426796,0.28932202,0.3963274,0.48814926,0.52971935,0.5111496,0.44770727,0.3679056,0.2912847,0.22660267,0.18041563,0.16580106,0.1936021,0.25794932,0.3379757,0.40902543,0.45650193,0.47017023,0.4459454,0.3877417,0.31497625,0.25142863,0.20971757,0.18643177,0.16976734,0.15557759,0.14810342,0.15806127,0.18841003,0.23059149,0.26323906,0.26720235,0.23680602,0.18518043,0.13334136,0.09858092,0.08525961,0.088356376,0.09729291,0.105879694,0.11098667,0.11542771,0.122064434,0.13928936,0.17447704,0.23029356,0.292593,0.3394315,0.3539684,0.3382469,0.3056846,0.26777473,0.22780009,0.18420355,0.13989486,0.10227973,0.08418003,0.09411033,0.13308094,0.1875693,0.24013604,0.27483782,0.28910765,0.285882,0.27502906,0.26042327,0.24540687,0.22324203,0.19352396,0.16173778,0.15235013,0.18393902,0.25776362,0.34184983,0.39959204,0.40891543,0.38051507,0.33742046,0.3016694,0.27665648,0.25554895,0.22554791,0.18475737,0.13934924,0.10315364,0.0847576,0.09252719,0.12984155,0.19560488,0.27278066,0.3386301,0.37508392,0.38317132,0.37418187,0.36041105,0.34381688,0.32147482,0.2883461,0.24832551,0.21208465,0.19704263,0.21229751,0.25230512,0.2986569,0.33533362,0.36117497,0.38310042,0.40505776,0.42041293,0.4238436,0.4164066,0.40628347,0.39599976,0.3844243,0.36687636,0.34515378,0.32179844,0.29892072,0.2732052,0.24144588,0.20673315,0.17681794,0.1595869,0.15346448,0.15251626,0.14799358,0.1369405,0.118575245,0.097858034,0.081928946,0.08368959,0.11286078,0.17029876,0.23864806,0.29435185,0.31837308,0.31250238,0.28998807,0.27208802,0.26862466,0.2830576,0.30414918,0.32244897,0.3223553,0.29908833,0.25506034,0.21727045,0.21361636,0.25899637,0.33211854,0.40124416,0.4423021,0.4570335,0.45243564,0.4361858,0.41107225,0.3857788,0.36697683,0.35411048,0.33967963,0.31716192,0.28694654,0.24989527,0.20618834,0.15978776,0.12499591,0.11864493,0.14527969,0.18893655,0.22653604,0.24115832,0.23308587,0.21123815,0.18913968,0.17446136,0.16748817,0.15945031,0.14180055,0.112499505,0.07857229,0.04896532,0.030129805,0.023235245,0.025239224,0.032073226,0.043084364,0.066027395,0.108099066,0.16566198,0.21793751,0.24331345,0.23690616,0.21306808,0.1907643,0.17670755,0.1672467,0.15489574,0.13649137,0.11210474,0.08528235,0.06336093,0.056405414,0.071352564,0.10546777,0.14397292,0.16925561,0.17220205,0.15865952,0.14166774,0.1292844,0.12063881,0.11127479,0.100931846,0.09249264,0.08885809,0.09249569,0.10604947,0.12943287,0.15411459,0.16772597,0.16255146,0.14301844,0.11794156,0.09470441,0.07374153,0.05514578,0.038212955,0.024729887,0.015212659,0.010967075,0.011601838,0.016609838,0.02566956,0.0412236,0.06568703,0.09710554,0.12523872,0.13772842,0.1295315,0.10877443,0.09104279,0.08716001,0.09783005,0.114116095,0.12689914,0.12925191,0.12132939,0.106772095,0.09188542,0.07861745,0.06557096,0.0504964,0.038017046,0.03912395,0.06687018,0.12457477,0.2000296,0.26758102,0.30305746,0.29888928,0.26622793,0.22627218,0.19238849,0.16741697,0.14298733,0.11404326,0.081918485,0.059290577,0.061928388,0.10020071,0.17018782,0.25224558,0.3217204,0.36122942,0.36898896,0.35489047,0.33314267,0.31407943,0.30193165,0.2896074,0.26868245,0.23344027,0.1986833,0.18217479,0.19718057,0.23140532,0.26748955,0.29167473,0.30528682,0.31177852,0.3138194,0.3131639,0.31332588,0.31671593,0.32191834,0.32549822,0.32513013,0.32040384,0.31050846,0.29432398,0.27157214,0.24668579,0.22785546,0.22350752,0.23875235,0.26829508,0.30251944,0.3278378,0.34444597,0.3586333,0.37999287,0.403389,0.4148294,0.40213513,0.3672943,0.3289924,0.30895343,0.3219582,0.35824347,0.39354977,0.3955349,0.35369834,0.27573365,0.19088472,0.12565047,0.1029897,0.12537728,0.18005252,0.23726404,0.27652895,0.2933716,0.30457094,0.32675147,0.36364603,0.40245703,0.41763923,0.39255452,0.32324952,0.23240565,0.14844741,0.099191636,0.08941456,0.10781648,0.13016284,0.13976198,0.12990406,0.1076045,0.08188011,0.06124246,0.04817461,0.042489324,0.042931292,0.048012853,0.05496867,0.059924975,0.06391118,0.07660351,0.109335445,0.1631235,0.2222691,0.2679223,0.29254308,0.30354893,0.31165525,0.31948665,0.32579055,0.33078277,0.34037796,0.35488763,0.36659992,0.36404037,0.34662887,0.3249121,0.30867723,0.29465815,0.27330124,0.24620308,0.23155709,0.24782383,0.2938931,0.3456711,0.37672868,0.37491605,0.34954128,0.31550744,0.28359476,0.25763053,0.24421763,0.25694132,0.30091217,0.36203244,0.40641823,0.41097653,0.3747948,0.31691864,0.2517444,0.18720914,0.13074379,0.09788119,0.102650695,0.14710198,0.21714,0.29142895,0.35060176,0.38365224,0.3898923,0.37735796,0.3612111,0.35377002,0.36134169,0.37857565,0.39517033,0.39740202,0.37827685,0.3423798,0.30503657,0.27897835,0.2621999,0.2449978,0.22064698,0.19400288,0.16877538,0.14646077,0.12449318,0.106124885,0.09405089,0.08931562,0.08772752,0.086906455,0.08799744,0.094134144,0.10522807,0.11496454,0.11692049,0.107389815,0.08988484,0.068050586,0.046650585,0.028317412,0.017827222,0.018811712,0.032713056,0.055456955,0.079434134,0.09720858,0.10574022,0.10632819,0.102838874,0.09931251,0.09922045,0.10470766,0.11412088,0.12345427,0.12567668,0.120669395,0.11454158,0.12496438,0.16108407,0.22094934,0.28285992,0.33103186,0.35891727,0.37289655,0.37423834,0.36142778,0.3401235,0.3270769,0.34038138,0.3795584,0.42633748,0.45804238,0.4633886,0.44664454,0.41367766,0.3708806,0.31989834,0.27221528,0.23592657,0.216891,0.20564358,0.19494994,0.17898054,0.15973328,0.13561323,0.10798598,0.0824798,0.0739891,0.091799356,0.13235569,0.17243226,0.19129789,0.18420874,0.17652678,0.19714488,0.25914443,0.33976328,0.40456688,0.42762032,0.41239634,0.37962532,0.3526086,0.34133086,0.34336662,0.3520819,0.3624238,0.37270296,0.38008073,0.38619187,0.39206323,0.4000639,0.40196976,0.39161944,0.3661417,0.33764127,0.31721827,0.31095305,0.31070063,0.30524698,0.28558204,0.25521573,0.23004971,0.23112273,0.26648483,0.31979653,0.36028352,0.36732543,0.34441343,0.31026092,0.2774761,0.24551064,0.207371,0.16504899,0.13190435,0.12411485,0.14820105,0.19585486,0.25298378,0.30380672,0.3410044,0.36130917,0.37399617,0.38594124,0.4013761,0.411062,0.40911928,0.39316967,0.3699415,0.34315574,0.31986067,0.30128333,0.2875743,0.26636416,0.23297586,0.19435509,0.1744019,0.19032097,0.23686467,0.29000625,0.323748,0.332781,0.32829583,0.3267168,0.33123907,0.33373618,0.32477906,0.30229652,0.26960072,0.23220092,0.19960397,0.18521227,0.1971904,0.22915669,0.2635697,0.2870027,0.29913235,0.3093929,0.32226387,0.33337727,0.33190182,0.31497595,0.28932557,0.2689464,0.2629799,0.2704871,0.2803875,0.2772554,0.25411332,0.21542503,0.17735548,0.15201291,0.14741312,0.163469,0.19895148,0.24416716,0.28431726,0.30598322,0.30663273,0.2953792,0.28090343,0.2675328,0.25456235,0.24448536,0.24217121,0.2488323,0.26003316,0.26457927,0.25814635,0.2419107,0.22747947,0.22141175,0.22537626,0.2304682,0.22787441,0.21436189,0.19905181,0.19575639,0.2111569,0.23496921,0.25133556,0.25256073,0.24825652,0.25011966,0.26164997,0.2755098,0.28737912,0.29741213,0.30477893,0.30116192,0.28333613,0.2629919,0.26182008,0.2862383,0.3198557,0.33739468,0.33408245,0.3273258,0.33677197,0.3610731,0.3804368,0.38144746,0.36405298,0.33747935,0.29953027,0.24872994,0.18949975,0.13925795,0.108445466,0.09453491,0.08526439,0.07296448,0.059460294,0.04971384,0.04557033,0.043063562,0.03948927,0.03504565,0.0337147,0.03748091,0.046346843,0.05850202,0.071561866,0.082730405,0.08769855,0.08406495,0.07162779,0.054529052,0.037362266,0.0238738,0.015261781,0.011628839,0.012630264,0.017128518,0.023738014,0.032169078,0.045437504,0.06676849,0.094894506,0.12021482,0.1303953,0.11900609,0.091072746,0.060326796,0.041962728,0.047748696,0.08023196,0.13081901,0.18047057,0.21085517,0.21518363,0.20000738,0.1790808,0.1616937,0.15343352,0.15231866,0.15478957,0.15292554,0.14239092,0.12260443,0.09809028,0.07447423,0.056015786,0.04534613,0.04188208,0.042547792,0.042051733,0.037110854,0.028980307,0.023630915,0.027554547,0.041052725,0.05714932,0.06457672,0.058276445,0.041310202,0.023259712,0.010603008,0.004893875,0.00339512,0.0035875782,0.0056739687,0.014006729,0.037583914,0.08198253,0.14194201,0.19630872,0.22401577,0.2184733,0.19612043,0.178337,0.17527933,0.1775514,0.17005372,0.14683801,0.118916295,0.106583536,0.123882115,0.16881119,0.22370334,0.27289864,0.3114744,0.34983298,0.39369938,0.43743077,0.45964447,0.44375727,0.38954577,0.31862387,0.2591923,0.23208465,0.24032032,0.27336523,0.31109357,0.33685628,0.34371176,0.34122935,0.34277534,0.3547101,0.36979115,0.3767445,0.37140298,0.35400724,0.3283192,0.28991762,0.24005653,0.18122007,0.12990524,0.097846605,0.08972653,0.092735596,0.09284412,0.086372726,0.08254365,0.08991382,0.10306731,0.10779519,0.09499887,0.07112839,0.053114925,0.054514017,0.077014245,0.1075483,0.12934124,0.13043727,0.11503949,0.09699011,0.09050865,0.09668391,0.10623687,0.10996005,0.10986936,0.11779978,0.1426652,0.18060271,0.21761966,0.24154739,0.24932213,0.24147378,0.22018938,0.19067486,0.1674683,0.1622123,0.17248887,0.17928411,0.16631281,0.13421561,0.098618984,0.07302985,0.059940264,0.055882264,0.06351205,0.0920097,0.14696284,0.22029485,0.29138145,0.34031963,0.35626552,0.3433504,0.31452164,0.29089513,0.29163063,0.32427904,0.37197283,0.40144432,0.38614702,0.33065382,0.26469025,0.21947652,0.20272166,0.2029229,0.20253827,0.19510043,0.18397151,0.17829669,0.18088907,0.18924773,0.19727038,0.2071961,0.22255701,0.24683446,0.271689,0.29121444,0.30008486,0.30462173,0.30679056,0.3092604,0.30470422,0.28935102,0.26136887,0.22977354,0.20445798,0.19143169,0.1895854,0.19828987,0.22011094,0.25588915,0.29448763,0.3189309,0.3163943,0.29406705,0.26926485,0.26121724,0.2713141,0.2901024,0.29902256,0.29071575,0.26626328,0.23820217,0.21469535,0.19827545,0.18468048,0.17348622,0.16974665,0.1801353,0.20166309,0.2230186,0.2283056,0.21021247,0.17090994,0.12489041,0.09004154,0.07995408,0.094516814,0.12122196,0.14375572,0.15270825,0.1479473,0.13591556,0.12268273,0.112461984,0.10568758,0.101216264,0.097954065,0.09653162,0.10011939,0.11028925,0.12762068,0.14725293,0.16334663,0.16632766,0.15244715,0.12247429,0.08663816,0.054814737,0.03593667,0.03296274,0.044917952,0.06477493,0.08101264,0.08369458,0.07059082,0.05144267,0.043709602,0.06742674,0.13460748,0.23914486,0.35587144,0.4491395,0.4978641,0.49889445,0.47291735,0.4382799,0.4117507,0.39162624,0.3751365,0.35467136,0.3322883,0.30976784,0.29335663,0.28455773,0.28395048,0.2838978,0.27540872,0.25193042,0.21770857,0.1846736,0.16411078,0.15965097,0.16534822,0.17171343,0.17181431,0.16476285,0.15283068,0.13644455,0.114521444,0.089354396,0.070344925,0.066883974,0.08011783,0.09844187,0.109137736,0.105929144,0.0949165,0.084676124,0.082031555,0.08580426,0.0911102,0.092085816,0.08876532,0.08595758,0.08940363,0.09813082,0.10625779,0.10687319,0.098722845,0.08360684,0.0654171,0.046947505,0.032574683,0.026834503,0.03256063,0.047419686,0.064995684,0.07993471,0.09126932,0.10102243,0.109455466,0.11357429,0.11106927,0.10265156,0.09216083,0.081754945,0.072160624,0.064063184,0.06062153,0.06586507,0.07946965,0.09576351,0.10809717,0.11955788,0.14494301,0.19406383,0.25839412,0.31015956,0.33525756,0.3402029,0.34684253,0.35915908,0.36905622,0.36564448,0.35443732,0.34442547,0.3438116,0.34848103,0.35214242,0.34463885,0.3243855,0.29693457,0.275741,0.27125856,0.28176835,0.29454342,0.29422712,0.27783313,0.2550542,0.23808163,0.2306717,0.22801365,0.22673501,0.22649927,0.2260589,0.22040033,0.20475757,0.18130577,0.15563259,0.13349228,0.11527216,0.098963924,0.081652604,0.0643574,0.053738702,0.059925526,0.08961781,0.13852309,0.19248468,0.23466493,0.25705448,0.26330853,0.265497,0.27251208,0.2861862,0.29897854,0.30351695,0.29151967,0.2607257,0.21053253,0.15241463,0.10407985,0.088152386,0.11217209,0.16551827,0.21840043,0.24335776,0.22672544,0.17784482,0.11902102,0.07492731,0.05984512,0.07280037,0.1009784,0.12993847,0.15351152,0.17453212,0.19694774,0.21986987,0.23686711,0.2424962,0.23403199,0.21400338,0.18740821,0.16263382,0.14527577,0.1381731,0.13722776,0.13971987,0.1417936,0.14493512,0.14781033,0.15173645,0.1553911,0.15847856,0.15797944,0.15038519,0.1362928,0.12016227,0.109324016,0.10376797,0.10008218,0.09384496,0.08868686,0.08803642,0.09186881,0.092989594,0.08757556,0.07622083,0.06321617,0.05027466,0.03923014,0.03445433,0.041778877,0.062423408,0.08936015,0.11071974,0.11785087,0.11017105,0.095310844,0.08158096,0.07374442,0.06905689,0.062839866,0.052791487,0.04481193,0.050112445,0.076316066,0.12132541,0.17256558,0.22047853,0.26043728,0.29356036,0.31475437,0.31766355,0.30004618,0.27012634,0.24085085,0.21783721,0.2005768,0.18287148,0.16780478,0.15757716,0.15779819,0.16280724,0.16864526,0.16585821,0.15107374,0.121752955,0.087216906,0.062933035,0.06849006,0.10850463,0.17142165,0.22745542,0.25532177,0.24653675,0.21615092,0.17992385,0.15080535,0.12723644,0.10501098,0.083081685,0.07036116,0.07720604,0.10514685,0.14128082,0.16934134,0.17980628,0.17819029,0.17569901,0.18143326,0.19297706,0.2009253,0.1976651,0.18400812,0.16664924,0.14886218,0.1313599,0.1163165,0.110432416,0.11615098,0.12495077,0.12358186,0.10561899,0.08193383,0.072535865,0.09646436,0.15530534,0.23496194,0.30918634,0.35872722,0.37349018,0.36171427,0.33705541,0.32018533,0.31846666,0.33070517,0.34137085,0.3436111,0.3369043,0.33120465,0.32825378,0.32567313,0.31498373,0.29527947,0.26769128,0.24153347,0.22240894,0.21849406,0.2295211,0.25735095,0.29554772,0.33685407,0.36444876,0.36818314,0.34503368,0.30839154,0.27175388,0.24532497,0.22870618,0.22200577,0.22829668,0.24950878,0.28025272,0.30376768,0.30922922,0.29346958,0.2686888,0.24301432,0.22290479,0.20549536,0.18982862,0.17392199,0.15844356,0.1460277,0.14356375,0.15876962,0.19251303,0.2350081,0.27428886,0.30431783,0.32431495,0.32806346,0.3060458,0.258868,0.20570837,0.17065066,0.16472475,0.17763908,0.19389857,0.19940507,0.19169897,0.16943008,0.13855354,0.104165815,0.07555961,0.0577175,0.053275835,0.05748255,0.062328458,0.059235174,0.04665935,0.030593676,0.022395907,0.032742742,0.06611716,0.11680749,0.16769241,0.1996157,0.20162426,0.1794848,0.14810747,0.12201375,0.10552903,0.096122295,0.090153456,0.08751863,0.089651816,0.09440797,0.098827064,0.10073102,0.10254008,0.104741275,0.10563854,0.10242281,0.09583042,0.08906666,0.08322814,0.075977534,0.0640028,0.048387405,0.03623728,0.03939649,0.068589546,0.12547584,0.1961183,0.2535914,0.27431706,0.25483528,0.21667649,0.18693519,0.17865236,0.18214591,0.18135084,0.16622692,0.13955379,0.106663145,0.07455883,0.048875716,0.03772754,0.04351591,0.06051005,0.07452857,0.07494015,0.0625433,0.050034255,0.05019931,0.06660662,0.0909769,0.1121035,0.12234754,0.121792585,0.113808624,0.10333526,0.09492707,0.09281167,0.09770355,0.10419678,0.10427999,0.09376932,0.07692252,0.06201705,0.055667426,0.059650075,0.072589494,0.09067255,0.10879326,0.121371865,0.12588786,0.12390742,0.12109899,0.123708405,0.1351297,0.15233964,0.16853519,0.17636758,0.17510028,0.16741212,0.15804416,0.1470751,0.13345134,0.11788354,0.10518766,0.10102711,0.10592865,0.116008066,0.12614764,0.13388748,0.14015447,0.1451602,0.15035063,0.15332095,0.15333767,0.14720382,0.13776618,0.12785235,0.1223694,0.120058544,0.12068731,0.1231938,0.13067544,0.14115568,0.1519032,0.15664645,0.1541578,0.14343685,0.12878776,0.11463872,0.10743455,0.1066418,0.107641794,0.103877544,0.09486509,0.08388281,0.073038615,0.061402407,0.0470423,0.03467062,0.033968877,0.057155106,0.10338809,0.15669873,0.18911947,0.18719359,0.15964295,0.1357884,0.13737567,0.16920714,0.2150266,0.25704077,0.28353503,0.3007654,0.3173931,0.3393806,0.35373747,0.35028473,0.32594618,0.29658154,0.2712989,0.2512826,0.23172677,0.22089355,0.23151477,0.26469597,0.30289617,0.3248574,0.3250404,0.3128961,0.3037965,0.3042219,0.31127822,0.31307244,0.30225554,0.27968854,0.25550285,0.23501287,0.21875338,0.20743524,0.21115209,0.24070449,0.29205218,0.34405494,0.37159577,0.3690296,0.34735116,0.32620952,0.3119621,0.30363116,0.292112,0.27523908,0.25255737,0.22897644,0.205656,0.18421453,0.16752803,0.16336767,0.17642808,0.20146583,0.22455432,0.23581702,0.23693949,0.23846765,0.24373038,0.246189,0.23061784,0.19247647,0.13755359,0.08380565,0.044001162,0.025189012,0.023513084,0.032438166,0.043804348,0.053138446,0.058794674,0.061120134,0.06042165,0.056423843,0.049387544,0.039998826,0.02956445,0.019798432,0.013063212,0.012264547,0.019269688,0.03403445,0.053675193,0.07366582,0.08854777,0.09518409,0.09378954,0.09123381,0.09573388,0.11685703,0.15609775,0.20878373,0.2561468,0.27705076,0.25746277,0.20850831,0.15923883,0.13641468,0.14474058,0.16776235,0.18812631,0.19623427,0.19136393,0.17176314,0.14207442,0.11416763,0.1054489,0.122922055,0.16018505,0.20214723,0.23650682,0.25695977,0.26451072,0.26617983,0.27114058,0.28194514,0.29151428,0.29137084,0.2833433,0.2791921,0.28686932,0.3008497,0.3058442,0.2926266,0.26543078,0.23938538,0.22807805,0.23328663,0.24366705,0.24048215,0.21421139,0.17041926,0.12820779,0.10297983,0.0995338,0.1120499,0.13214771,0.15019071,0.16013138,0.16131335,0.1630132,0.17180145,0.18796937,0.2001099,0.20051102,0.18675049,0.16694832,0.14977592,0.14095037,0.13704456,0.12915829,0.11149705,0.08962253,0.079826675,0.09630572,0.13905698,0.18990453,0.22681569,0.23431176,0.21350415,0.17092063,0.12084117,0.07517394,0.049525376,0.04901941,0.07232835,0.10500219,0.1328652,0.14158624,0.1288714,0.099615805,0.06915365,0.050585967,0.05215882,0.06932723,0.09103476,0.105033696,0.10752555,0.10165913,0.09455498,0.09069554,0.09302317,0.10070225,0.10887227,0.11058579,0.10457232,0.10415756,0.12661953,0.1824169,0.25660482,0.32654402,0.37047997,0.39082554,0.3955644,0.39381203,0.38102517,0.35459855,0.31711304,0.27497658,0.23100094,0.1838818,0.14113559,0.1166965,0.12450904,0.16170333,0.21086156,0.24845235,0.2598925,0.24604852,0.21972269,0.19653095,0.18339795,0.17936361,0.17698602,0.1717205,0.16145365,0.14928396,0.13842775,0.12865472,0.11599698,0.095885314,0.07182461,0.05191584,0.046217177,0.059619743,0.09722644,0.16297822,0.25527376,0.35498288,0.4324856,0.46422133,0.4551398,0.42962083,0.41406465,0.41196468,0.41205522,0.39798918,0.36463723,0.31480452,0.25921193,0.21203308,0.18603085,0.18484133,0.20117937,0.22342348,0.2433234,0.25676975,0.26622823,0.27990878,0.30924678,0.35435972,0.3978767,0.4168611,0.4033229,0.37229,0.3427982,0.32469118,0.31407812,0.31035015,0.31163523,0.31676292,0.31614372,0.307009,0.29211566,0.28200784,0.28522614,0.30280092,0.32780167,0.34424508,0.34382892,0.32619223,0.30579302,0.29269752,0.29188332,0.2949365,0.2896895,0.26589242,0.22591235,0.18729721,0.17130025,0.19023396,0.23766892,0.29788652,0.3523111,0.38811287,0.39699462,0.379051,0.34295094,0.30254513,0.27052554,0.25110784,0.2413588,0.2356079,0.23089838,0.23026381,0.23621957,0.2511598,0.2702601,0.2893531,0.30105805,0.3015983,0.28477523,0.24839972,0.19490312,0.13997042,0.10671278,0.11467835,0.16472395,0.23453788,0.29198352,0.31031594,0.28745446,0.24311513,0.21142642,0.21375972,0.24880815,0.2929773,0.32676256,0.343462,0.34963238,0.34337488,0.32012582,0.27709734,0.22999965,0.19828968,0.19368787,0.20771372,0.2212549,0.21725135,0.19029467,0.14848746,0.10942146,0.09330666,0.11135016,0.16002472,0.22240281,0.28230742,0.32985088,0.36462542,0.38637745,0.3961941,0.395501,0.3908625,0.3901511,0.3981485,0.41003227,0.41322568,0.39260492,0.34269202,0.2681497,0.18532126,0.11007453,0.05859964,0.040578064,0.06485959,0.12766485,0.21400654,0.29216358,0.3390874,0.34515274,0.32527736,0.29466814,0.26640618,0.24087118,0.21485263,0.1822202,0.14072,0.09735096,0.065286994,0.05673312,0.070555404,0.095774174,0.12115759,0.14631276,0.17788555,0.21766333,0.25909144,0.29177764,0.31226167,0.31903467,0.31343022,0.29578087,0.2758071,0.26019612,0.2521766,0.24240518,0.2316395,0.22768927,0.24674161,0.2896457,0.34573483,0.39443937,0.4210746,0.42192218,0.40865362,0.39744344,0.39518166,0.39231268,0.37655544,0.34563994,0.3131224,0.29757214,0.31291887,0.35900667,0.41834727,0.46944654,0.49436465,0.4914118,0.45716047,0.3945867,0.30576155,0.21355183,0.14556666,0.13115816,0.1728905,0.24973838,0.3223784,0.36386585,0.36946675,0.35624287,0.3412119,0.3331083,0.32936513,0.3263429,0.32152966,0.31592283,0.31070217,0.306136,0.30203006,0.29888842,0.29954627,0.30483064,0.3099265,0.3044486,0.2811053,0.24537264,0.21366285,0.20033322,0.20571165,0.21790518,0.22955364,0.24339706,0.2697989,0.30781564,0.3452728,0.3640144,0.35509586,0.32388422,0.28109512,0.24034806,0.20555304,0.18376346,0.17430882,0.17951632,0.19030116,0.19942342,0.19774704,0.1858799,0.16863398,0.15541537,0.1511904,0.15465702,0.15752602,0.15548922,0.14992209,0.14834596,0.15113215,0.15506011,0.1566748,0.16318719,0.18394463,0.22049908,0.25958505,0.28250083,0.27886656,0.252026,0.21382475,0.17339677,0.13421063,0.09587258,0.06056385,0.033270556,0.019931577,0.024730965,0.048049252,0.08658122,0.13054353,0.16783379,0.18696691,0.18547189,0.16792399,0.14327364,0.11635239,0.08919176,0.061965328,0.037932817,0.019876238,0.009517638,0.0059263357,0.009220217,0.0216565,0.044052225,0.07306544,0.09959837,0.11931181,0.13373171,0.15041561,0.16828406,0.18111773,0.17951067,0.16479966,0.1414363,0.11667927,0.09152087,0.068781994,0.050948698,0.044067487,0.050626516,0.07135925,0.10155938,0.13533388,0.16233604,0.17430137,0.16671032,0.14545147,0.11981342,0.09819315,0.08307902,0.07751536,0.0831533,0.0983394,0.112396784,0.11712748,0.114099175,0.115296476,0.12745321,0.14402987,0.15147078,0.14186285,0.11910045,0.09180343,0.06817168,0.053137496,0.05053456,0.059933722,0.07587305,0.089187026,0.09516964,0.09541067,0.09575462,0.0979578,0.09932088,0.096632175,0.09200034,0.0917171,0.09937849,0.11238309,0.12326654,0.12665235,0.121246286,0.11020034,0.09774656,0.0887788,0.08528059,0.08603308,0.08607069,0.08310557,0.077887595,0.074269496,0.07263874,0.07267865,0.07329594,0.07576483,0.078730084,0.080022745,0.0775825,0.073022276,0.06842192,0.06399027,0.05865386,0.053639013,0.054879,0.06794107,0.09255034,0.11896932,0.13392806,0.12915488,0.106821954,0.07868178,0.05708458,0.048957128,0.052503843,0.06359329,0.07906265,0.097367644,0.11598122,0.13367462,0.15023954,0.16505931,0.17196482,0.16831626,0.15624785,0.14471816,0.13441597,0.123677045,0.11070641,0.10259264,0.10383168,0.11326903,0.12424797,0.13182181,0.13457686,0.13139725,0.12285838,0.10976123,0.09533935,0.080150746,0.064493,0.048671108,0.037339337,0.036668297,0.049830113,0.07298395,0.097216554,0.115124196,0.1238668,0.12339132,0.11348777,0.09433502,0.06952915,0.044988543,0.025990153,0.014053783,0.00802702,0.0073901177,0.01502679,0.03703637,0.07562042,0.12144649,0.15492958,0.16296507,0.15595452,0.16395451,0.20725055,0.27448344,0.32748386,0.33749261,0.30263695,0.24492769,0.1839477,0.12914135,0.08241933,0.045995414,0.022367604,0.01201332,0.015960867,0.039621014,0.08937886,0.1661538,0.25591066,0.33708513,0.39015198,0.41129088,0.4118643,0.4087846,0.4185007,0.44471577,0.4839596,0.5177576,0.5322631,0.5192359,0.48785564,0.44980276,0.4123907,0.377731,0.3465513,0.3283247,0.3288428,0.35297918,0.39521715,0.44963852,0.5048508,0.54601336,0.5588522,0.53825915,0.4949814,0.44762865,0.40988696,0.38559046,0.36868152,0.35832724,0.35421893,0.36198696,0.37844953,0.40006614,0.41767445,0.42771116,0.4264609,0.41484973,0.3918469,0.35920012,0.31733155,0.27143517,0.22923541,0.20277911,0.19942196,0.2181241,0.24866557,0.27813685,0.29660034,0.30124578,0.3020574,0.3148041,0.3531395,0.40732738,0.45604315,0.471458,0.45024395,0.40399244,0.36300576,0.34493467,0.3553256,0.37705815,0.39480117,0.3978001,0.3895167,0.37463257,0.3588191,0.3432512,0.3286747,0.31590244,0.30993858,0.31479782,0.32781625,0.3382999,0.3417691,0.34719446,0.37238756,0.41852775,0.46883383,0.49226794,0.47818196,0.43664157,0.4018973,0.39554784,0.41902518,0.4479059,0.46228817,0.4531947,0.4300029,0.40161368,0.38233688,0.37601224,0.38378444,0.39366528,0.4009597,0.40520778,0.4115593,0.41764736,0.4182608,0.41007957,0.39405504,0.37022436,0.33927655,0.3051935,0.27565122,0.25094083,0.22266436,0.18095718,0.12999691,0.0863086,0.06572466,0.06803166,0.07951268,0.08686537,0.08822844,0.09069529,0.098535925,0.10891259,0.113158666,0.10624371,0.08756358,0.06562317,0.05200997,0.059434667,0.08848258,0.12887181,0.16223,0.17882009,0.17904736,0.17250325,0.16575824,0.16142756,0.15779518,0.15326379,0.14616314,0.13462768,0.11838719,0.09948831,0.08405647,0.07869562,0.087819524,0.10858152,0.13021468,0.13947351,0.12880732,0.1054345,0.08925942,0.10742875,0.17543441,0.2865453,0.40692297,0.49882463,0.53986305,0.535888,0.504368,0.4615527,0.41361657,0.36698315,0.33135113,0.3199419,0.3344876,0.36367568,0.3856275,0.3900216,0.37875032,0.36411312,0.34764972,0.327412,0.29879737,0.26800123,0.23692565,0.20585495,0.16846447,0.12666743,0.08488614,0.050943267,0.026892038,0.012929016,0.00600638,0.0041451673,0.0069169924,0.017676013,0.04016066,0.07318041,0.10812602,0.1337409,0.14419706,0.14149444,0.13039526,0.11396635,0.09308446,0.07146352,0.055144127,0.051593676,0.06385386,0.08975634,0.12109914,0.14833595,0.16374886,0.16460305,0.15257406,0.13399328,0.11653253,0.1068323,0.10571637,0.10976607,0.112992175,0.1116158,0.105304204,0.09744167,0.092598915,0.09248534,0.0952634,0.09680698,0.09591001,0.093861856,0.09331846,0.09399363,0.09420606,0.09264044,0.090939604,0.09160604,0.09597078,0.10328732,0.11415679,0.1316948,0.15911849,0.19218796,0.21921451,0.22786397,0.21586995,0.18956225,0.15753175,0.12603687,0.10187129,0.09398797,0.10577541,0.13216661,0.15830366,0.17264992,0.16892684,0.1512989,0.12683327,0.10521122,0.09360617,0.09504637,0.10694167,0.12166757,0.13308387,0.13719486,0.13492656,0.1274511,0.117919676,0.107960425,0.100445695,0.09943494,0.115889035,0.15784955,0.22436388,0.29468116,0.346455,0.36479804,0.35445228,0.32572487,0.288623,0.24838674,0.2108988,0.1854111,0.17651099,0.17930561,0.1772911,0.15944786,0.1278468,0.09914705,0.08712558,0.09408001,0.108720295,0.11814234,0.117877506,0.11793072,0.13473977,0.1785148,0.24108326,0.30019233,0.33139953,0.32370284,0.28312176,0.22844188,0.17921573,0.14701577,0.13218743,0.12919094,0.13131289,0.13473691,0.1369002,0.13971269,0.14493574,0.15456307,0.16367988,0.16962361,0.17189045,0.17578562,0.18115716,0.18211657,0.17092085,0.14580789,0.11397926,0.08505573,0.06937259,0.07101189,0.08989828,0.11677214,0.1418926,0.15649897,0.16211955,0.16260421,0.16458817,0.16744667,0.16958435,0.16421956,0.1505626,0.13123257,0.119525164,0.12556422,0.1528318,0.18739547,0.21134305,0.21054454,0.1881789,0.15725465,0.13432078,0.12586172,0.12919824,0.13465828,0.13948293,0.1497402,0.17857097,0.23011102,0.2954372,0.35410914,0.3892419,0.39299968,0.37100923,0.33332428,0.2935125,0.25978175,0.23918492,0.23019594,0.22818507,0.22153084,0.20515835,0.18112029,0.163336,0.1620348,0.17942607,0.20526153,0.22848165,0.24111272,0.2413925,0.23121953,0.21527402,0.1994838,0.18576442,0.17317975,0.16022985,0.15127133,0.15048504,0.1556529,0.15573935,0.14086424,0.1119993,0.08060422,0.060638297,0.058391824,0.07109512,0.08918638,0.103387505,0.10921613,0.10733283,0.10276699,0.09874473,0.09804585,0.09897401,0.101710476,0.105190165,0.11013126,0.11508778,0.11846463,0.119417645,0.11682593,0.11066476,0.098858275,0.082943805,0.06589986,0.055876832,0.057781447,0.071078315,0.0866698,0.0967659,0.10066602,0.10524768,0.116365455,0.13584132,0.16148353,0.18816955,0.2049983,0.19982855,0.17033263,0.13144647,0.10933464,0.12258462,0.17058264,0.23361956,0.28770983,0.3181362,0.32227874,0.3071524,0.27917328,0.24734098,0.21673079,0.19580798,0.18612792,0.18919869,0.1971472,0.2047302,0.20455492,0.19814985,0.18653417,0.17352456,0.15689649,0.13428278,0.106315054,0.08522966,0.09496999,0.15605007,0.26909134,0.40073428,0.5046665,0.54368514,0.5176421,0.4495665,0.37360302,0.31008634,0.26894978,0.24659777,0.23614646,0.22903146,0.22387077,0.22238433,0.22623245,0.22976382,0.23029609,0.23038237,0.23898357,0.25505152,0.26890612,0.26816967,0.25137928,0.22444133,0.1956252,0.1712209,0.15717083,0.15547745,0.16028039,0.1588397,0.14307274,0.11708232,0.09676796,0.09450615,0.11069665,0.13137895,0.1421855,0.13739336,0.12281563,0.10845096,0.0995918,0.09678588,0.09567738,0.093665056,0.08769234,0.07786828,0.064639606,0.05152334,0.04333281,0.046514,0.06388096,0.09177347,0.11963729,0.13797335,0.14358792,0.14023577,0.13387458,0.1285493,0.12636484,0.12643218,0.12809907,0.13086474,0.13611259,0.1428215,0.14661075,0.14132768,0.12526731,0.10461632,0.090667985,0.09132492,0.105443336,0.122453354,0.13158311,0.12638249,0.1095933,0.08718156,0.067218974,0.05429627,0.04999732,0.0515531,0.053746488,0.051992357,0.045779455,0.041211527,0.047745574,0.07150196,0.10845882,0.1448593,0.16540502,0.16277672,0.14117812,0.111197084,0.08313132,0.06265379,0.051280778,0.047214616,0.047186237,0.04838134,0.049177025,0.048748508,0.04608496,0.04246952,0.04289305,0.052969176,0.07358363,0.09718895,0.11512194,0.12215868,0.12176416,0.11833646,0.11542306,0.11166298,0.10554064,0.09627778,0.08558941,0.075658895,0.067189716,0.058669522,0.049053717,0.0411787,0.042721044,0.0599131,0.09122399,0.124794684,0.14646782,0.14925615,0.13821156,0.12575153,0.12151971,0.12767212,0.13874401,0.15118085,0.16304336,0.17476125,0.18069907,0.17658757,0.16222529,0.14669667,0.13755606,0.13562341,0.13393009,0.12686957,0.11442563,0.10200819,0.094498076,0.09469173,0.100385375,0.10830054,0.11294045,0.113352306,0.11019131,0.10847896,0.110031344,0.115002,0.120278865,0.12552293,0.13231863,0.14221387,0.15210827,0.15652977,0.15246461,0.14231639,0.1320946,0.1256953,0.1252719,0.12766479,0.13070957,0.12971206,0.12618439,0.12129498,0.11955271,0.12058296,0.12384256,0.12617236,0.12638487,0.12394025,0.12211157,0.123841844,0.13086878,0.13845561,0.14219855,0.13875063,0.13153699,0.12493163,0.12335094,0.12712575,0.13368756,0.14007083,0.14558776,0.1503248,0.15314735,0.15093635,0.14611048,0.14533456,0.15482731,0.16986853,0.1785715,0.17323215,0.157842,0.14423776,0.13910519,0.1411192,0.14310473,0.14182693,0.13713013,0.13164888,0.1251417,0.116491824,0.10368391,0.08586613,0.06459143,0.044136066,0.03174015,0.032154936,0.044934887,0.063060455,0.078089625,0.08554234,0.08667482,0.0866942,0.08843151,0.091084726,0.09000977,0.08221602,0.067428745,0.049513508,0.033388536,0.025309464,0.029879227,0.05133914,0.08626664,0.12613153,0.15470989,0.16409065,0.1547132,0.1397591,0.12877111,0.12610511,0.12724467,0.12804186,0.12548253,0.12002737,0.11252892,0.105034985,0.09993389,0.10079867,0.11056858,0.1293097,0.15216376,0.17079331,0.17783915,0.17259085,0.16091391,0.15131478,0.14713372,0.14674479,0.14797966,0.1545587,0.17291959,0.20321083,0.23514502,0.2537258,0.2515686,0.23173751,0.20397343,0.17705493,0.156734,0.14511637,0.1409987,0.1410156,0.14222316,0.14266336,0.14091027,0.13457938,0.12374713,0.11192435,0.105102204,0.10564479,0.1115998,0.11855457,0.12486642,0.12942027,0.13304144,0.13526295,0.13816376,0.14048801,0.14106049,0.13733721,0.1325518,0.130168,0.13232635,0.1335662,0.12774494,0.112534404,0.095875226,0.09088838,0.10510377,0.13313049,0.15788369,0.16848923,0.16527067,0.15985815,0.15682,0.15495227,0.1490833,0.1416785,0.13672751,0.13716535,0.14007562,0.14377476,0.14737266,0.15308924,0.15886527,0.1634459,0.16311622,0.15893562,0.1488501,0.13307592,0.10950788,0.0817286,0.053706143,0.031841442,0.018915005,0.016375711,0.023709388,0.042210698,0.075071305,0.121819854,0.17397074,0.21356584,0.22784567,0.21578264,0.19126612,0.16813521,0.15420415,0.14831477,0.14745371,0.14989911,0.15601192,0.1652505,0.17571218,0.18389302,0.18946125,0.19243918,0.19441946,0.19170438,0.1817015,0.16166629,0.13606125,0.110670656,0.09252379,0.08410266,0.08377064,0.08816708,0.09357526,0.100488134,0.108870976,0.12071866,0.13300133,0.14330272,0.14766663,0.14904656,0.15174514,0.16003805,0.16940695,0.17245017,0.16272135,0.14391059,0.12289081,0.1070934,0.095615886,0.08809494,0.0849097,0.092304744,0.11113521,0.13653,0.15790962,0.16955046,0.17273305,0.17270173,0.17374885,0.17533977,0.17514306,0.16826494,0.15261318,0.12902024,0.1051055,0.09123375,0.09653422,0.12134232,0.15589832,0.18496996,0.1974411,0.19202597,0.17469275,0.15376389,0.13498507,0.124096304,0.12443016,0.13735567,0.15646331,0.17105098,0.17038314,0.15279777,0.12918825,0.117048085,0.13016649,0.16717549,0.21434194,0.25319096,0.27386075,0.277023,0.27182224,0.26463875,0.25509116,0.23548372,0.20178746,0.15950294,0.123234384,0.105310105,0.107746206,0.122742556,0.14133352,0.15835874,0.17267692,0.18215173,0.18532394,0.18189353,0.17592286,0.17142232,0.16989098,0.16963966,0.16777863,0.16450267,0.15892096,0.15103976,0.13749848,0.119413175,0.09898796,0.08247918,0.07344595,0.07476615,0.08652618,0.10710361,0.13099384,0.14970393,0.1570941,0.15305942,0.14485991,0.13853744,0.13630082,0.13424936,0.13040239,0.12523091,0.122924805,0.12697755,0.13803416,0.15301526,0.16434236,0.16577537,0.15353882,0.13036506,0.100482404,0.07191057,0.054263707,0.059855346,0.093046226,0.14491837,0.19218414,0.21383612,0.20559092,0.18235373,0.16455443,0.15902753,0.15997247,0.15490158,0.14236681,0.12591784,0.11421295,0.10994589,0.11605916,0.13229476,0.15655696,0.18280047,0.20382422,0.215407,0.21587212,0.20816463,0.19830935,0.19572616,0.20463191,0.22077487,0.23037176,0.22395186,0.20272611,0.18043101,0.17044456,0.17594737,0.19013406,0.20078517,0.2027728,0.19523181,0.18657558,0.18234295,0.18810447,0.19760132,0.2030778,0.19507426,0.17701547,0.15826036,0.14852364,0.14651293,0.1417257,0.1271552,0.10489031,0.08798183,0.085060626,0.098034985,0.11858866,0.139314,0.15389936,0.16255824,0.16648884,0.17089558,0.17656882,0.18447824,0.18911248,0.19020472,0.1858303,0.18115397,0.17549658,0.1688732,0.15519492,0.13402978,0.109633125,0.09320802,0.091863334,0.103247136,0.11810821,0.13122548,0.1486968,0.17767924,0.21658349,0.24848919,0.25926125,0.24505101,0.22067386,0.2021628,0.20201069,0.2153209,0.22963353,0.22809596,0.20711201,0.1731474,0.13974819,0.11542812,0.10396876,0.10634592,0.12120831,0.14289518,0.16220547,0.1710371,0.16801028,0.15631227,0.14279313,0.1324398,0.12833034,0.12915517,0.13145612,0.13243596,0.13151157,0.13080789,0.1329721,0.13947454,0.14853776,0.15451407,0.1530221,0.14350212,0.13228646,0.12582703,0.12791605,0.13472933,0.13971059,0.13730036,0.12768994,0.11513838,0.10406133,0.097897656,0.096289545,0.09728324,0.09464229,0.084854536,0.06805834,0.05292612,0.04941025,0.06360893,0.08951268,0.11286972,0.12068368,0.113175415,0.10320843,0.10314059,0.113571584,0.122496165,0.12016504,0.10574027,0.088418834,0.075829454,0.07196774,0.07663685,0.08930189,0.10631466,0.12101338,0.1263494,0.12251631,0.115761735,0.113653,0.11642071,0.11985312,0.11918836,0.11519078,0.11071053,0.10900656,0.109487504,0.1105294,0.10990775,0.10907701,0.11075074,0.11596101,0.12047989,0.11761552,0.1057098,0.08991218,0.08036942,0.08349963,0.09962072,0.12145806,0.13868482,0.14357775,0.13573553,0.12390304,0.121341206,0.13778816,0.17300315,0.21217941,0.2381677,0.23988278,0.22625123,0.2130866,0.21484447,0.22903591,0.24543619,0.2514417,0.24490134,0.22842868,0.20977521,0.19229726,0.17973332,0.17070003,0.1635444,0.15420584,0.1428293,0.13392724,0.13417555,0.14657319,0.16639696,0.1833478,0.18784933,0.1767628,0.15551795,0.13205762,0.114137195,0.10422196,0.10267531,0.103769295,0.10133798,0.08964669,0.07280704,0.059778005,0.060520988,0.07534952,0.0982854,0.119900025,0.13528414,0.141545,0.1394627,0.12986527,0.11718985,0.106379025,0.10335165,0.11091131,0.12650125,0.14320605,0.15256892,0.15320873,0.14904751,0.14777492,0.15249746,0.16328822,0.17691326,0.18932605,0.19515194,0.19239086,0.18300577,0.17281073,0.1615736,0.14631347,0.12332437,0.1004448,0.08874946,0.095183305,0.11244285,0.12696983,0.13075884,0.12584983,0.12064761,0.1195079,0.12306205,0.1275741,0.1308666,0.13063192,0.12687191,0.11955261,0.10996758,0.09970054,0.090748794,0.08490986,0.08339879,0.08751723,0.097139426,0.10948046,0.118941985,0.12106976,0.11600008,0.10653546,0.09479945,0.08001398,0.06428594,0.052870307,0.05263686,0.063416965,0.079190455,0.091791,0.098812275,0.10264855,0.10645982,0.1093094,0.10823626,0.102953196,0.09739987,0.0946765,0.093187355,0.08878686,0.08331544,0.084899865,0.101626515,0.13051265,0.1589428,0.17393667,0.17295139,0.16462338,0.15805072,0.15568103,0.15194207,0.14507145,0.14012457,0.14612289,0.16533692,0.18994199,0.20937073,0.21692528,0.21702166,0.21585263,0.21790326,0.21770628,0.20957005,0.19099532,0.16690592,0.14352188,0.124538004,0.11161826,0.1036104,0.09892512,0.09414061,0.08887919,0.08643883,0.091887556,0.10722802,0.12664002,0.14149468,0.14348473,0.13323134,0.11598375,0.10128629,0.09480632,0.099607505,0.112953685,0.12890887,0.13908498,0.13874075,0.129921,0.120138295,0.11614266,0.118182965,0.122558005,0.124265134,0.12350261,0.12092575,0.119841605,0.12000724,0.12289497,0.12684043,0.13122076,0.13322149,0.13151447,0.12513465,0.11554065,0.10670569,0.10442112,0.11170745,0.12634608,0.13973399,0.14533134,0.13976987,0.12858148,0.11681525,0.110569276,0.1090484,0.112414114,0.119826995,0.13432004,0.15451168,0.1742813,0.18304116,0.17668319,0.15997,0.14347453,0.13255,0.12652612,0.12216713,0.12082031,0.1246078,0.13227409,0.13647996,0.13105945,0.115998834,0.097864695,0.08418695,0.08126753,0.09380486,0.12318326,0.16179352,0.19320929,0.2026316,0.18932675,0.16892813,0.15844965,0.16576214,0.18394022,0.20358808,0.21537851,0.21635346,0.20688637,0.19348985,0.18719165,0.19474225,0.21726727,0.24242954,0.26138672,0.26352093,0.253236,0.23366232,0.21734528,0.206895,0.2041945,0.2005995,0.19315599,0.18140446,0.17208569,0.16753067,0.16677393,0.16586702,0.16512804,0.16629809,0.17011684,0.17177336,0.16755043,0.15778218,0.15070729,0.15488768,0.17159109,0.19216973,0.20295544,0.19827932,0.18138331,0.16188759,0.14640176,0.13726352,0.1338173,0.13371484,0.13489698,0.13633437,0.13857703,0.14274935,0.14736493,0.15029025,0.1496188,0.14774431,0.14766715,0.15030128,0.15079384,0.14447607,0.13205405,0.12368996,0.12963557,0.15197949,0.17904942,0.19576961,0.19378556,0.17888896,0.16343911,0.15737432,0.15970962,0.1632338,0.1612326,0.15477549,0.15004236,0.15328325,0.16540073,0.18057795,0.19045089,0.18995313,0.18202679,0.17313845,0.16716869,0.16302061,0.15891324,0.15560187,0.15361291,0.15050542,0.14137425,0.12492191,0.10666078,0.09603599,0.09895292,0.111548185,0.12436554,0.12903714,0.12552018,0.1182506,0.11370957,0.115982085,0.12796317,0.14788674,0.16900523,0.18186219,0.18081939,0.16876537,0.15306534,0.1407633,0.13310055,0.12827496,0.123664916,0.11844826,0.11425989,0.11273382,0.114362575,0.11605535,0.114857085,0.11135274,0.10982668,0.11449709,0.12304863,0.12952687,0.12765227,0.1187041,0.10842782,0.10384131,0.10719177,0.11787358,0.13563542,0.15954168,0.18594913,0.2050033,0.20981608,0.19901375,0.18163769,0.1668574,0.16285908,0.16872399,0.17919315,0.18335217,0.17606175,0.15951695,0.14553505,0.1445369,0.15875547,0.17973821,0.19499905,0.19752824,0.18823896,0.17370369,0.15848304,0.14475839,0.13297184,0.1249542,0.12121526,0.12027534,0.1200595,0.12105801,0.12560554,0.13270378,0.13764863,0.1348393,0.1246073,0.11125496,0.10161411,0.10001675,0.10869823,0.12519677,0.14328021,0.15491563,0.15524031,0.14462513,0.1297958,0.11779367,0.11527736,0.120123886,0.1284837,0.13163985,0.12895983,0.121865414,0.11779406,0.11825776,0.12326243,0.13057923,0.14176552,0.15660356,0.17015158,0.17501837,0.1676474,0.1522826,0.1343927,0.11909389,0.10936126,0.11017021,0.12204567,0.14038493,0.1544296,0.15788068,0.15023716,0.13838904,0.12946296,0.12811866,0.1335267,0.14055003,0.14482422,0.14577316,0.14622454,0.14822567,0.15140192,0.15646623,0.16439772,0.17456204,0.18069541,0.17630714,0.16034977,0.1400655,0.12546617,0.12423146,0.13570373,0.1528611,0.16372328,0.16321026,0.15447716,0.14881133,0.15308613,0.16663302,0.18167074,0.1902709,0.18833892,0.17646432,0.15822728,0.13769342,0.11836937,0.10449011,0.10093234,0.11107259,0.13199168,0.15591161,0.17501874,0.18883128,0.1993225,0.20851666,0.21317528,0.21471202,0.2135443,0.21047497,0.19759871,0.17307438,0.1416193,0.11793214,0.1101153,0.11885705,0.13725053,0.1578083,0.17326419,0.17660743,0.16745971,0.15159415,0.13964856,0.13553394,0.1365832,0.13637638,0.13151583,0.12274617,0.11365753,0.11028787,0.116218865,0.13019736,0.14379941,0.14967726,0.14403315,0.12901287,0.10702056,0.08284088,0.06407792,0.060462702,0.07682216,0.10685873,0.13671064,0.15330738,0.15451832,0.1466292,0.13828439,0.13266265,0.13032681,0.13271832,0.1439171,0.16468124,0.18833055,0.20355636,0.20257546,0.1884008,0.16976924,0.15465756,0.14157914,0.12666138,0.107295774,0.0891323,0.07791078,0.07597452,0.079020984,0.082523905,0.08607462,0.09069402,0.09570393,0.095750414,0.08953916,0.0804371,0.077076785,0.08220615,0.094437756,0.10753242,0.119274706,0.12673676,0.12869145,0.12207377,0.10882547,0.094624616,0.087980084,0.09200425,0.102122776,0.10812198,0.10392658,0.09186369,0.08058051,0.07682704,0.08063966,0.08757328,0.091041125,0.088902354,0.08279848,0.080595456,0.087434955,0.10351,0.12137303,0.1341777,0.1391502,0.13828601,0.13461475,0.12963624,0.123875536,0.1168642,0.10976421,0.104994066,0.10674006,0.11549074,0.12834693,0.13849874,0.14368321,0.14464909,0.14739113,0.15355428,0.1634729,0.17170261,0.17696656,0.1782075,0.17885716,0.17776972,0.17369132,0.16495927,0.1557067,0.15101059,0.15272316,0.15625322,0.15599082,0.1501203,0.1423707,0.1368609,0.13642001,0.14103954,0.15005217,0.16058944,0.16906755,0.17449969,0.17966074,0.18955506,0.20186873,0.20915866,0.20153148,0.1794867,0.15066166,0.12614037,0.11106386,0.105815075,0.109404154,0.121029,0.13937968,0.15832591,0.1722337,0.17762433,0.17966062,0.18188484,0.1854319,0.18314244,0.17259598,0.15478544,0.1371523,0.12253707,0.11271539,0.10704514,0.107026935,0.110501476,0.11231788,0.107082345,0.09627158,0.0880906,0.08965027,0.10113147,0.11603571,0.12938266,0.13925855,0.14771092,0.15702456,0.1703312,0.185808,0.19547413,0.18979128,0.16805828,0.1417046,0.12297043,0.11732972,0.11938635,0.124996684,0.13040228,0.13788606,0.1459444,0.15589853,0.16440187,0.17193292,0.17675062,0.18287902,0.19232446,0.20675208,0.22019573,0.22614044,0.2196757,0.20480086,0.1882423,0.17652206,0.16925675,0.1643789,0.15969573,0.1562197,0.15510188,0.15693064,0.16126381,0.16522421,0.16510177,0.1572976,0.1432241,0.12681547,0.11243567,0.10212799,0.0986442,0.10823574,0.13527401,0.17663795,0.21714993,0.24203832,0.24533741,0.23632415,0.22767694,0.22919412,0.2383573,0.24794732,0.24597128,0.22973198,0.20150709,0.17391188,0.1571893,0.1588762,0.17534144,0.19501178,0.20409006,0.19772644,0.18446855,0.1779208,0.18382764,0.19461368,0.19761492,0.1884468,0.17542745,0.17163569,0.18126798,0.19519238,0.19886488,0.18563658,0.16157149,0.14048044,0.13371234,0.14490104,0.16774349,0.18981148,0.19895078,0.19244856,0.17933847,0.1720007,0.1757675,0.18544848,0.1937713,0.19655432,0.19320478,0.18414237,0.17386584,0.17157358,0.18464786,0.20857342,0.22828503,0.22982042,0.2123784,0.18545191,0.15887482,0.13567933,0.11685175,0.10593439,0.10871091,0.12626646,0.15286976,0.17867482,0.19531228,0.20114084,0.20040037,0.20073164,0.20439358,0.20900108,0.20803118,0.19767332,0.17582764,0.14448304,0.11028278,0.08340839,0.07281534,0.07705919,0.08842471,0.097279884,0.106213965,0.12160788,0.14833486,0.17569703,0.18979447,0.18182987,0.15867864,0.132209,0.11099548,0.095264785,0.08241001,0.07280717,0.07053953,0.07901409,0.09552878,0.1101849,0.11341425,0.10320031,0.089096904,0.083099574,0.091712564,0.109884046,0.12747343,0.13518621,0.13165371,0.12161634,0.11278624,0.10950967,0.11087546,0.11314685,0.11253428,0.10878085,0.10133728,0.09121034,0.07897416,0.06926225,0.06724886,0.07612126,0.095211335,0.119435646,0.14415807,0.16271545,0.1733063,0.17596185,0.17521358,0.17183621,0.1658083,0.15885161,0.15828091,0.16884287,0.18655263,0.20056017,0.20611018,0.20866473,0.21627836,0.22884077,0.23913634,0.24445432,0.25007835,0.26140845,0.2743341,0.2769679,0.26364404,0.23868512,0.21382238,0.19332676,0.17480142,0.15248351,0.12955222,0.11502103,0.117251895,0.13451017,0.15813589,0.18122573,0.20101064,0.2167263,0.22182257,0.21240294,0.18971378,0.16690958,0.15545474,0.16208494,0.18106474,0.20250885,0.21455388,0.21263081,0.19957723,0.1837467,0.17009495,0.15823472,0.1458535,0.13523732,0.13217275,0.14067332,0.15885808,0.17977054,0.19609226,0.20172565,0.19401366,0.1733929,0.14735347,0.127995,0.12787934,0.14831446,0.17958035,0.20465493,0.21366912,0.20413315,0.18267512,0.15755026,0.14156748,0.14235891,0.15970367,0.17933507,0.18950973,0.1871847,0.18274623,0.18279393,0.18636264,0.18380368,0.16945295,0.14539759,0.12341385,0.11483904,0.1238151,0.14214824,0.16123359,0.17732234,0.19401717,0.20922416,0.2162131,0.20875184,0.1902947,0.17109026,0.15975381,0.15978913,0.16570725,0.16853781,0.1584448,0.13696377,0.11439922,0.10428242,0.10907818,0.12211279,0.13266738,0.13551007,0.12913923,0.11653453,0.103835225,0.10390366,0.12775819,0.17842193,0.24310887,0.30645528,0.35658503,0.39268318,0.41306916,0.41589367,0.3990396,0.36796662,0.3327052,0.3016938,0.27725384,0.25551042,0.23358752,0.21272956,0.1986345,0.19380488,0.19292204,0.18489695,0.16311292,0.13436021,0.11713365,0.12777008,0.16597737,0.21230988,0.24243478,0.24506961,0.22852091,0.21319212,0.2127048,0.22766583,0.24339817,0.25001118,0.24470957,0.23803115,0.2354996,0.23816104,0.23914564,0.2341428,0.22334087,0.2112002,0.20301084,0.19802113,0.19238883,0.18167202,0.1688381,0.15848015,0.15501975,0.15861256,0.17183858,0.19616391,0.22899549,0.25803038,0.27075848,0.26194683,0.23993325,0.21528877,0.19713654,0.18528421,0.18040939,0.18038408,0.18651484,0.19579329,0.20596866,0.21527666,0.224486,0.23728229,0.25186324,0.26536253,0.26747403,0.25447842,0.2255537,0.19117127,0.16165823,0.14539391,0.14405696,0.15796097,0.18662925,0.22293364,0.2503801,0.24978048,0.21827446,0.17363904,0.14593862,0.15181267,0.18613182,0.22436817,0.24396272,0.23627472,0.21007489,0.18363415,0.17167096,0.17794602,0.19062592,0.19629346,0.19293518,0.19495232,0.21715404,0.2569264,0.29537538,0.31068742,0.29453254,0.252557,0.2015071,0.1590783,0.13709219,0.13366278,0.1385944,0.13905899,0.13099794,0.116412126,0.10589238,0.10886731,0.13188285,0.16830933,0.20475607,0.22630936,0.2291226,0.21753287,0.20146598,0.18828787,0.18622746,0.20070155,0.2351724,0.2806207,0.321703,0.33990347,0.3311423,0.30304822,0.2731398,0.25100634,0.23763798,0.22535406,0.21084325,0.19501098,0.18240763,0.17462812,0.17308766,0.17867714,0.1917938,0.20721425,0.21965075,0.22760677,0.2400565,0.2619225,0.28778422,0.2951639,0.2682051,0.20833434,0.14099135,0.092611186,0.07920691,0.098585345,0.13848218,0.17874761,0.19927709,0.1899197,0.15918748,0.12760924,0.1105179,0.10836545,0.111988,0.11414861,0.11382744,0.11381056,0.118001364,0.1300302,0.14997824,0.17513031,0.19961762,0.22120757,0.23685902,0.24562712,0.24537624,0.23858835,0.2305358,0.22637536,0.22844137,0.23467459,0.24453501,0.2570493,0.27143335,0.28190973,0.28450575,0.28130937,0.28162292,0.2916972,0.30821648,0.32171652,0.3262709,0.32249168,0.31519482,0.3058487,0.2963855,0.28565478,0.27731374,0.27054548,0.26489523,0.2544492,0.23816127,0.22096348,0.21188407,0.2159274,0.2267973,0.23270307,0.22111434,0.18850212,0.1398028,0.0885127,0.04850063,0.029415907,0.032660026,0.053949106,0.085155345,0.11667893,0.14004856,0.15156035,0.1533554,0.14925055,0.14024715,0.12572953,0.107716866,0.092309795,0.08579895,0.0915356,0.10903653,0.13118722,0.14647369,0.14458263,0.1300305,0.11703309,0.12033089,0.13886811,0.1639628,0.18416847,0.19480036,0.19244693,0.177916,0.15700348,0.14019094,0.1383669,0.15184467,0.17359246,0.18767118,0.18620227,0.17170037,0.1663196,0.19768886,0.2796816,0.3940504,0.49636617,0.54953986,0.5484002,0.51816607,0.48813498,0.4706564,0.46363473,0.4546075,0.435678,0.40335926,0.3723153,0.3599138,0.3758889,0.40260088,0.413141,0.393589,0.35715032,0.32699353,0.310986,0.2998123,0.28032565,0.25258568,0.22486536,0.2056814,0.19821388,0.19930637,0.20181747,0.19401355,0.17082621,0.13546368,0.10072852,0.07699943,0.06913059,0.0740994,0.08530452,0.09565219,0.103120916,0.11206984,0.12809072,0.15079392,0.1706091,0.17727213,0.16669542,0.1463057,0.1281915,0.12140619,0.12701316,0.13892995,0.15325327,0.16698937,0.18130547,0.19130464,0.19329838,0.18153358,0.15944795,0.13344777,0.1135144,0.10341462,0.10148213,0.102879174,0.102578074,0.09974807,0.09587014,0.09738032,0.107327916,0.123146415,0.13603745,0.13988887,0.13585807,0.12855752,0.120828636,0.112778425,0.10630407,0.10646617,0.11681366,0.134376,0.14928102,0.15194827,0.1402366,0.12121892,0.10433332,0.09636297,0.09671033,0.10242931,0.10695902,0.10710699,0.10099254,0.09123189,0.0804315,0.07124224,0.06840824,0.07648764,0.099697016,0.13321857,0.16927533,0.19575381,0.20710784,0.2011538,0.18508238,0.16732156,0.1562004,0.15129752,0.14712436,0.13724206,0.12159306,0.10672758,0.10041922,0.105675735,0.11764421,0.1270781,0.12623888,0.11374677,0.09593481,0.081805,0.0773535,0.08056853,0.085086286,0.08468312,0.07888585,0.07033919,0.06428038,0.064074464,0.07156956,0.084304124,0.098334275,0.111259185,0.1235882,0.1364556,0.14714767,0.15176833,0.14811368,0.13923652,0.12904315,0.1206907,0.11437418,0.11164275,0.11439618,0.12536196,0.14258744,0.16039823,0.17242901,0.17757988,0.18129766,0.18814564,0.1989616,0.20795323,0.2111115,0.20622395,0.19695862,0.18813412,0.1847052,0.18576027,0.18732281,0.18452649,0.1797754,0.17636196,0.1782883,0.18204646,0.18509103,0.18388353,0.1785136,0.16920419,0.15820825,0.15072532,0.15140496,0.16237591,0.17888592,0.19607525,0.21090616,0.22400121,0.23294032,0.23243393,0.21822613,0.19197918,0.16015011,0.13096985,0.11292494,0.11388644,0.13417159,0.16358477,0.18360354,0.18285464,0.1629176,0.13648932,0.11403534,0.10067896,0.09768635,0.106787145,0.126613,0.15093608,0.16974418,0.17600858,0.16946481,0.15604766,0.14376296,0.13612382,0.13181295,0.12604629,0.116997875,0.10559837,0.09429699,0.084685884,0.079122685,0.08129396,0.09361631,0.113520354,0.13428667,0.14923377,0.15457457,0.15012763,0.13815989,0.12551384,0.11756944,0.11598722,0.11396024,0.10753417,0.097431056,0.0903678,0.08763847,0.08640853,0.08231056,0.076478176,0.0728361,0.07529926,0.082438864,0.089030385,0.08856056,0.081758745,0.07450477,0.074144036,0.07916093,0.08487309,0.087259464,0.08956125,0.09442552,0.101688184,0.107159406,0.108299166,0.10452149,0.096315295,0.084460974,0.071557455,0.06264016,0.061561078,0.068370946,0.07817044,0.08605213,0.08929959,0.08995244,0.09129829,0.09565178,0.10048806,0.10041099,0.0915907,0.076701455,0.06370754,0.05946693,0.06433137,0.0729102,0.0800336,0.08442449,0.087329246,0.08779373,0.08311432,0.07229638,0.05987632,0.05271739,0.05465156,0.06411054,0.07583367,0.08528761,0.088902675,0.086340666,0.08055092,0.07854432,0.0856146,0.099521585,0.11098357,0.111426085,0.10278132,0.09478307,0.09621536,0.10577572,0.11640868,0.12332147,0.12710983,0.12929812,0.12829506,0.12331152,0.11658006,0.11304637,0.113786645,0.11685961,0.118520565,0.11807916,0.11638834,0.11540973,0.1156475,0.11567009,0.11266931,0.103827395,0.08944678,0.073401876,0.063282184,0.0646235,0.077496774,0.09386807,0.10483795,0.10500797,0.096551605,0.08354372,0.07046216,0.059552368,0.053301066,0.05259317,0.056801766,0.063204415,0.0691455,0.072880596,0.073830545,0.07287327,0.07162612,0.07150128,0.07132423,0.068457976,0.06092537,0.049735323,0.038130354,0.030857729,0.033287365,0.050066184,0.07989285,0.11450144,0.14070983,0.15078996,0.14405589,0.12690474,0.10435607,0.08038171,0.056807026,0.036448658,0.021070525,0.011266831,0.005773489,0.0029628605,0.0015532398,0.0010411402]