[4.1544852E-05,3.4987006E-05,2.2548453E-05,1.2379624E-05,1.7875844E-05,6.93193E-05,0.00022907216,0.0005927573,0.0012688803,0.0023268217,0.0037297832,0.005261312,0.0065402426,0.0074591017,0.008517125,0.011329296,0.018513985,0.03419452,0.06322659,0.10768048,0.1622506,0.2119782,0.24005987,0.23720449,0.20933576,0.17209668,0.14265822,0.1316653,0.14167117,0.16846032,0.202628,0.2338944,0.254428,0.2624172,0.2603931,0.25301826,0.24432528,0.23715015,0.23333691,0.23410481,0.24024917,0.2509429,0.26329052,0.27299446,0.2770801,0.27541527,0.27008048,0.26325753,0.25602588,0.24884705,0.24208046,0.23631535,0.23162119,0.2281363,0.22559322,0.22394657,0.2224351,0.22070277,0.21956156,0.2216482,0.22984652,0.24415326,0.26086605,0.27381003,0.27807108,0.27081752,0.25137368,0.22035645,0.18142992,0.14145689,0.108771324,0.08871716,0.08234269,0.088506795,0.107435025,0.13995981,0.1837625,0.23093443,0.2712856,0.29742134,0.30757937,0.30372393,0.28968215,0.27031022,0.25177887,0.23978536,0.23754247,0.24431598,0.2565572,0.2691232,0.27765504,0.2796427,0.2756947,0.2681813,0.25974014,0.25159332,0.24386443,0.23699711,0.23247261,0.23246403,0.23733462,0.24510062,0.25182283,0.2548804,0.25384572,0.25046685,0.24632265,0.24207544,0.23740064,0.23204643,0.22612,0.21968919,0.21201791,0.2018367,0.18864937,0.1742282,0.16281408,0.15966104,0.16814406,0.18631713,0.20624541,0.21790402,0.21648704,0.2055078,0.19311154,0.18468297,0.17990373,0.1753896,0.16894646,0.16104849,0.15327252,0.1463409,0.13934435,0.13153565,0.12501034,0.12554651,0.13905011,0.16565065,0.19754791,0.222993,0.23423637,0.23144244,0.22086816,0.20892823,0.19887514,0.19098908,0.1853872,0.18281169,0.18416996,0.18834215,0.1928146,0.19415325,0.19066082,0.1816896,0.16788398,0.14971139,0.12920307,0.11077634,0.10144153,0.107288234,0.12948242,0.1627103,0.19756377,0.22583546,0.24290751,0.24898988,0.24601388,0.23795456,0.22836947,0.22125877,0.21849082,0.21982579,0.22203243,0.22029155,0.21126091,0.1954848,0.17827831,0.1658142,0.16169563,0.16518058,0.17320506,0.1827185,0.1909706,0.19567867,0.19436003,0.18639676,0.17217453,0.15430672,0.13500212,0.11761462,0.10409642,0.09735525,0.098298945,0.10718813,0.12082187,0.13600661,0.15092936,0.16708301,0.18575631,0.20461984,0.2180996,0.22144318,0.21545522,0.20576878,0.19940992,0.1996864,0.20510638,0.21044987,0.21090037,0.20469248,0.19415313,0.18369235,0.17690007,0.17472248,0.17457254,0.17195415,0.16200694,0.14389236,0.122693576,0.10964599,0.11449697,0.13866349,0.1717382,0.19928731,0.21172017,0.20993769,0.20141542,0.19474371,0.19466381,0.20166264,0.21209204,0.22088283,0.22359024,0.21907584,0.20905544,0.196676,0.1845032,0.1740505,0.16646217,0.16236998,0.16171008,0.1625169,0.16228114,0.15836483,0.1504051,0.13890454,0.12561248,0.11125064,0.098088235,0.09043614,0.094248444,0.1113207,0.1356536,0.1566434,0.16644229,0.16502887,0.15813519,0.1535806,0.15852861,0.17652941,0.2044319,0.23119979,0.24478911,0.24003206,0.22285897,0.20496745,0.19560587,0.19660114,0.2029478,0.20857169,0.20984834,0.20770524,0.20427711,0.20161073,0.19924785,0.19526869,0.18574928,0.16770567,0.14183195,0.11518795,0.09850907,0.09912843,0.115507126,0.1372561,0.1533705,0.15835638,0.15485232,0.14877625,0.14638706,0.15084982,0.1623822,0.17648327,0.18722832,0.1894025,0.18341088,0.17336209,0.16585715,0.16481148,0.17085104,0.18045504,0.18918158,0.19400515,0.1951942,0.19562262,0.19772337,0.20138848,0.20221005,0.19483717,0.17555201,0.14668544,0.11494484,0.08920938,0.07451719,0.07053793,0.0721455,0.074455105,0.07558059,0.07718838,0.08199098,0.091719955,0.10610504,0.12281414,0.13865142,0.15073206,0.15802689,0.16110943,0.16179347,0.16182993,0.16241044,0.163696,0.16525328,0.16692297,0.16883557,0.17106992,0.17146057,0.16614977,0.15070552,0.124809496,0.09297734,0.06382205,0.045427278,0.043660983,0.060174067,0.09204239,0.13043495,0.16402411,0.18384643,0.18836272,0.18214256,0.1718784,0.16218548,0.15491526,0.15005505,0.14665104,0.14355803,0.14013134,0.13698097,0.1356187,0.1373206,0.14188485,0.14749616,0.15170024,0.15345423,0.15380087,0.15572537,0.16045415,0.1666093,0.16963582,0.1671856,0.16007107,0.15283455,0.14858852,0.14775151,0.14773026,0.14597611,0.14113258,0.13312204,0.12249706,0.11085332,0.10190666,0.10020083,0.108622305,0.1250817,0.14446463,0.16083296,0.17141478,0.1752416,0.17356087,0.16803467,0.16192605,0.1580217,0.15871891,0.1635146,0.17057689,0.17563266,0.17620362,0.17066324,0.16086157,0.1479923,0.13388805,0.118478715,0.103197984,0.091244884,0.09000031,0.10612321,0.14065365,0.1851188,0.22736247,0.25854433,0.27724263,0.2860632,0.287695,0.28391445,0.27656767,0.2682362,0.26025262,0.2523239,0.24352048,0.23498817,0.22965771,0.22926337,0.23158889,0.23126507,0.22436239,0.21200322,0.2010559,0.19934641,0.2100447,0.22787523,0.24313681,0.24823423,0.24281031,0.23133934,0.21911968,0.20881492,0.20012803,0.18939589,0.17143379,0.14342164,0.109874286,0.08212676,0.07308536,0.08770066,0.11957156,0.15237468,0.17067683,0.16737229,0.14799367,0.1246004,0.10838896,0.10341889,0.10701939,0.115279675,0.12698898,0.14380956,0.16476959,0.18476522,0.1966153,0.19691242,0.18763973,0.17428458,0.16215189,0.15474808,0.15410268,0.16119336,0.17471732,0.1905291,0.2024072,0.20629849,0.20194848,0.1933424,0.18452497,0.17809965,0.17366022,0.17022896,0.1671145,0.1649071,0.16380887,0.16293555,0.16066997,0.15654285,0.15202032,0.14963846,0.15132792,0.15770353,0.16810255,0.18059228,0.19100928,0.19350897,0.18306546,0.15996583,0.13047211,0.10365779,0.085817516,0.07920865,0.083089106,0.09513214,0.10986056,0.11960685,0.118492216,0.10770761,0.095051415,0.08931544,0.09405612,0.106098525,0.11889122,0.12706675,0.12904666,0.12647703,0.12198866,0.11730182,0.113235444,0.11098582,0.11286963,0.12113581,0.13567309,0.15306622,0.16806923,0.17613326,0.17558943,0.1675724,0.15565307,0.14311194,0.13317117,0.1290719,0.13612469,0.15762933,0.19090997,0.22567575,0.25125033,0.2628413,0.26392698,0.2609225,0.2594675,0.26094675,0.26352504,0.2629621,0.25662798,0.24513401,0.23221672,0.22155756,0.21458636,0.21005525,0.20547228,0.19885604,0.19020587,0.1818797,0.17805322,0.18348533,0.20002906,0.22467585,0.24834137,0.26240066,0.2627566,0.25357074,0.2410361,0.22915405,0.21508686,0.19418086,0.16516434,0.1359816,0.121535085,0.13723297,0.19224942,0.27886468,0.37487864,0.44744503,0.4801718,0.47563708,0.45563152,0.43347338,0.4143143,0.39443192,0.37588117,0.36143982,0.35421816,0.35342968,0.3583107,0.36819836,0.38031504,0.38746837,0.37838578,0.34579566,0.2917702,0.22930865,0.17490661,0.1420279,0.1367019,0.15661405,0.19162782,0.22713052,0.25107372,0.259523,0.257866,0.2548037,0.2567505,0.26353326,0.27059266,0.27185553,0.26387352,0.2471679,0.22676025,0.21043892,0.2046356,0.21039402,0.22245109,0.23381309,0.24180155,0.24989636,0.26528904,0.2892803,0.3154402,0.32953092,0.3245206,0.30288634,0.2777646,0.2584806,0.24830072,0.2434956,0.24057186,0.23758729,0.2348236,0.23325507,0.23404258,0.2379352,0.24496825,0.25375798,0.26120988,0.26343742,0.25822356,0.24666859,0.23244102,0.21893533,0.20733444,0.19710135,0.18795627,0.18200958,0.1835752,0.19799544,0.22789486,0.26910725,0.30839694,0.32773435,0.31524792,0.27363363,0.21920526,0.17157637,0.14478385,0.1435575,0.16475207,0.19831795,0.23204048,0.2550639,0.26389787,0.261104,0.254574,0.25094107,0.25302234,0.2574935,0.25960276,0.25701424,0.25175783,0.2469157,0.24373375,0.24081288,0.2358553,0.22715193,0.21465473,0.20180087,0.19564392,0.20557623,0.2339255,0.27262977,0.30280912,0.3115727,0.29822874,0.2785952,0.26986358,0.2849226,0.31919554,0.35493323,0.36512527,0.3378887,0.28392497,0.23497303,0.22019446,0.25101814,0.31477916,0.38318488,0.4289663,0.441311,0.4289622,0.40886948,0.39243826,0.38245472,0.37765947,0.3766322,0.37814593,0.38007832,0.3816575,0.38388658,0.3876326,0.38912454,0.37880734,0.3480558,0.29747948,0.2393633,0.18989198,0.16010225,0.15314026,0.16623323,0.19299375,0.22364265,0.24804384,0.25993702,0.25958398,0.25179717,0.24094456,0.22823596,0.21161436,0.19020993,0.16648412,0.1466126,0.13646789,0.13963908,0.15538897,0.17949003,0.20442773,0.2236615,0.23520124,0.24365814,0.25681838,0.2777915,0.30140328,0.31495014,0.31030175,0.28916085,0.2639613,0.24589813,0.23974909,0.24251956,0.24929412,0.25528654,0.2562278,0.24833672,0.23006056,0.2052768,0.18244506,0.17090476,0.17322893,0.1841119,0.19365029,0.1962753,0.19276233,0.18838595,0.18636893,0.18689914,0.1884449,0.19119227,0.19648488,0.20646155,0.22241639,0.24591748,0.27266,0.29263982,0.28973624,0.25790867,0.20437193,0.15088981,0.11738368,0.11510891,0.14158875,0.18445015,0.22829215,0.2608781,0.27845725,0.281365,0.2720784,0.2525056,0.22729255,0.20305227,0.18679021,0.18268211,0.18975396,0.20138478,0.20684443,0.19745053,0.1721732,0.13991155,0.11461792,0.10885771,0.12839372,0.17183548,0.22896834,0.28368548,0.31698957,0.31992397,0.29730058,0.2660968,0.23938453,0.21961617,0.19938667,0.17597516,0.15874635,0.16889085,0.21840493,0.29898655,0.38016582,0.4393519,0.46975604,0.48107898,0.47366562,0.44584945,0.3989427,0.3489832,0.31029865,0.28855112,0.27861202,0.275141,0.27551448,0.27967918,0.28784975,0.30114636,0.32060674,0.3428595,0.35831824,0.3542374,0.3266455,0.28347877,0.24149238,0.21247905,0.19965607,0.19806679,0.20164537,0.20492405,0.20498997,0.20197462,0.19935538,0.20159064,0.20995517,0.22173911,0.23184061,0.23738183,0.23824053,0.2361782,0.23183818,0.22473194,0.21416254,0.20052512,0.18486832,0.16798908,0.15081336,0.13705622,0.13441747,0.150736,0.18407695,0.21894531,0.23307951,0.21534766,0.17258465,0.12438802,0.086241744,0.063214645,0.051243618,0.04520735,0.042081084,0.041521948,0.044928554,0.054548424,0.07280416,0.09958216,0.13139103,0.1608684,0.18089668,0.18731798,0.18321127,0.17785443,0.18379055,0.20695017,0.24217439,0.27516842,0.29584733,0.30562365,0.31541038,0.33425733,0.3606173,0.38419473,0.39194012,0.37945887,0.35153386,0.32039204,0.29491207,0.27793285,0.26605687,0.25497752,0.24197753,0.2272187,0.21303576,0.20290424,0.19963467,0.20508449,0.21906607,0.23944323,0.2608374,0.27658615,0.28111482,0.27276504,0.25404665,0.22949314,0.20444055,0.18370682,0.17255884,0.17493677,0.1923952,0.22251503,0.2611409,0.3013424,0.33454752,0.34948525,0.341403,0.31348684,0.27773312,0.24440925,0.22030668,0.2071179,0.20349772,0.2047044,0.2051634,0.2042826,0.2090588,0.23178853,0.27808478,0.339777,0.3948201,0.42525637,0.42909363,0.42109135,0.4152253,0.4141061,0.41119516,0.40216097,0.3900279,0.38094273,0.37863943,0.38306555,0.3935312,0.40784535,0.4205604,0.4209453,0.40032467,0.3578979,0.30378255,0.2522659,0.21558602,0.19898345,0.19996317,0.20964956,0.21748237,0.21701224,0.20938604,0.20195656,0.20427676,0.22191119,0.2533584,0.28873992,0.31693882,0.33105078,0.33295682,0.32804388,0.3206577,0.31124035,0.29890025,0.28463086,0.27075246,0.2612665,0.26015672,0.2733939,0.3021325,0.3402576,0.3720266,0.38536394,0.3780445,0.36013958,0.34242555,0.3309002,0.32422623,0.31672576,0.30062902,0.2702286,0.22648488,0.17796175,0.13548054,0.105435826,0.0876399,0.07938787,0.079405844,0.087442555,0.1016449,0.11805752,0.13550688,0.15706868,0.18757652,0.22405612,0.2549267,0.26465514,0.24752359,0.21136695,0.17560853,0.15750462,0.16376086,0.18619101,0.20944573,0.22039275,0.21624506,0.20550805,0.20167166,0.21456175,0.24254692,0.2737497,0.29307234,0.29148778,0.27070293,0.24094371,0.21568447,0.20371784,0.20574115,0.2139836,0.21712612,0.20680408,0.18295121,0.15642858,0.1415187,0.14694874,0.16740924,0.1899054,0.20196879,0.2006069,0.1908259,0.18286146,0.18595643,0.20292515,0.22821464,0.2513293,0.26540473,0.26955616,0.2669799,0.25982234,0.24733107,0.22804944,0.2009634,0.17162003,0.15271215,0.16333587,0.21512206,0.29983035,0.388193,0.4466723,0.46175942,0.44487163,0.42035267,0.40357515,0.3964329,0.39306507,0.389408,0.38438734,0.37774274,0.3703911,0.36488938,0.365671,0.37074122,0.37045172,0.34892866,0.30066004,0.23427577,0.1725434,0.13622338,0.1384852,0.17803739,0.24227762,0.30857483,0.35574305,0.37203112,0.36016926,0.3305728,0.29480216,0.2606081,0.23226394,0.21153915,0.19900602,0.19519989,0.20094568,0.21747689,0.24447876,0.27926692,0.31500438,0.3440963,0.3607798,0.36645803,0.36716545,0.36987233,0.37348542,0.37063012,0.3534957,0.3263284,0.30211604,0.29399148,0.30190495,0.31682572,0.3284733,0.33468485,0.33815518,0.34180474,0.3466439,0.35478368,0.3728529,0.4025075,0.43559656,0.45132366,0.4383045,0.40129492,0.36220476,0.33721855,0.33120412,0.33736503,0.34842992,0.35848308,0.3648647,0.3679922,0.37199596,0.38158682,0.39576864,0.40703377,0.40411648,0.38331977,0.34965262,0.3158793,0.29175055,0.2831554,0.2902185,0.3100486,0.33458307,0.35363415,0.35869148,0.34831786,0.3282509,0.30928656,0.30100378,0.30633298,0.3173798,0.32019067,0.30431196,0.27247587,0.2407556,0.22759642,0.24164832,0.27513352,0.31223962,0.3391273,0.35365328,0.36229277,0.37534884,0.39599907,0.4195043,0.43398657,0.4330797,0.41706443,0.39430484,0.37182224,0.35583615,0.34854457,0.34929654,0.3529679,0.35352883,0.35002598,0.3490865,0.3638871,0.3998849,0.44824147,0.4824464,0.4814833,0.4420788,0.38511518,0.33460212,0.3052728,0.29677466,0.3027241,0.3168005,0.334913,0.3536317,0.37049747,0.38592395,0.40177038,0.4167275,0.4219722,0.40755105,0.3700503,0.3189712,0.2699425,0.23881327,0.23315586,0.25147,0.28217027,0.31088376,0.326008,0.32444885,0.30881938,0.28569934,0.2603867,0.23679216,0.21493137,0.19515936,0.17884134,0.17051886,0.1742571,0.19233388,0.22264624,0.25921786,0.29331508,0.3184502,0.33390108,0.34513202,0.35922945,0.37771216,0.39558658,0.40374705,0.40026584,0.3897951,0.38141027,0.37730363,0.3754091,0.371573,0.36523232,0.3566929,0.3464314,0.33585978,0.3297859,0.3372016,0.36366412,0.40425622,0.4395238,0.449034,0.4255302,0.38193718,0.34003472,0.3164903,0.31519032,0.32964745,0.3485724,0.36273322,0.36810508,0.36827135,0.37008324,0.37950906,0.39416754,0.40431905,0.3985473,0.37439036,0.33933914,0.30499423,0.27974203,0.26801535,0.27161434,0.2884184,0.31104204,0.32968196,0.33711576,0.3323978,0.3200833,0.3085087,0.30561224,0.31441665,0.33104956,0.3464614,0.35314634,0.34928945,0.34064242,0.33480954,0.3358179,0.34077898,0.34433484,0.34414387,0.3435559,0.3493302,0.3643779,0.38543501,0.40222073,0.40884575,0.40582764,0.40154192,0.4002014,0.40136388,0.3997021,0.39194658,0.3758563,0.35138226,0.32078746,0.2929922,0.2826189,0.30316928,0.35371506,0.41476873,0.4589053,0.47223815,0.46158114,0.44538414,0.43523502,0.43262413,0.43355075,0.43632188,0.43933654,0.43946388,0.4334961,0.4227297,0.41326085,0.4066775,0.39577734,0.3662684,0.3131707,0.24544226,0.18497974,0.15219085,0.15884542,0.20199871,0.26534328,0.3257812,0.36458123,0.37607315,0.36656794,0.34724924,0.32684246,0.30910313,0.2941119,0.28124568,0.2712424,0.266691,0.27066588,0.28486782,0.30781066,0.33414423,0.35719335,0.37165454,0.37719965,0.37645662,0.37463155,0.37304735,0.36866388,0.35303846,0.3235519,0.2882893,0.2643876,0.26326075,0.28209713,0.3070788,0.32468787,0.32995585,0.32608607,0.3207942,0.32258928,0.33868775,0.37271047,0.41902545,0.4628441,0.48540774,0.47942886,0.4523354,0.42195916,0.40122473,0.39514446,0.40138713,0.41585985,0.43201992,0.44261146,0.44319424,0.4361569,0.42976072,0.42815518,0.4261023,0.40858606,0.3665887,0.30400208,0.24064392,0.19821002,0.19185036,0.22194214,0.27624294,0.3349259,0.38032365,0.4033858,0.40405098,0.38656536,0.35609987,0.31793955,0.2782453,0.2422381,0.21335077,0.19286932,0.18258089,0.18549798,0.20440793,0.23818827,0.27949592,0.31762192,0.34365165,0.35605964,0.36021852,0.36382458,0.3692143,0.37181172,0.3651644,0.35014868,0.33524993,0.3295139,0.33326498,0.33863506,0.335737,0.31985867,0.29334572,0.2635713,0.24103482,0.2367338,0.26179025,0.31574228,0.3837212,0.43507263,0.4502076,0.4288948,0.3932571,0.36163077,0.34186056,0.33030704,0.32357833,0.32024595,0.31854722,0.3166997,0.3142127,0.3156273,0.32256916,0.3303024,0.3248359,0.29704195,0.24880844,0.19648832,0.15893744,0.15136057,0.17674059,0.22635622,0.2810439,0.32348165,0.34576073,0.35251835,0.35222062,0.35054493,0.3477327,0.3415413,0.3311095,0.3182862,0.3078045,0.30452576,0.3109857,0.32451257,0.3379084,0.3432,0.33700624,0.32268763,0.3087919,0.30440447,0.31534752,0.3373153,0.35793793,0.36140576,0.3457031,0.3213527,0.30619976,0.30673334,0.319396,0.33453444,0.34584346,0.35029837,0.34782812,0.3430438,0.34497392,0.36493346,0.4046184,0.45338187,0.48880902,0.49672028,0.47745946,0.4480661,0.42387688,0.41193607,0.40941986,0.41405976,0.42814383,0.45602545,0.49322724,0.52580446,0.53610367,0.5195412,0.4820762,0.43596563,0.38743857,0.34107414,0.3026018,0.28200808,0.2911481,0.33201227,0.39187947,0.44002518,0.45333073,0.42829373,0.38763785,0.35374936,0.33682844,0.3301935,0.32445285,0.31410372,0.29979354,0.28671733,0.28354463,0.30131066,0.34479308,0.40454742,0.45545116,0.47297046,0.45074868,0.40608773,0.36511418,0.3459922,0.3481411,0.3619738,0.37642252,0.3951138,0.42051312,0.4511931,0.4665405,0.45462492,0.41583356,0.3696883,0.32910836,0.2969656,0.2674711,0.23779237,0.21108012,0.19231492,0.18465982,0.18397169,0.18170477,0.16886707,0.14512034,0.11945686,0.106847934,0.11612371,0.14391339,0.17406477,0.19023494,0.18536137,0.16557974,0.14282337,0.12738149,0.122704126,0.12427438,0.12349647,0.1144801,0.10052427,0.09150759,0.096423544,0.117434,0.15011962,0.18724696,0.22041118,0.2437628,0.25504184,0.2572599,0.25416496,0.24860352,0.24126844,0.23322505,0.22587657,0.2206828,0.21779521,0.2163468,0.21512856,0.21393709,0.21390472,0.21652162,0.22199436,0.22852641,0.23349105,0.23519628,0.23350172,0.22881544,0.22056687,0.2076726,0.18995674,0.17062837,0.15548705,0.15220682,0.1650462,0.19285412,0.22526051,0.24861209,0.25047445,0.22879452,0.19090044,0.15178712,0.12445274,0.11519313,0.120542586,0.13231798,0.14313236,0.15059169,0.158486,0.17252511,0.19646837,0.22553225,0.25022185,0.26095262,0.2566372,0.2429383,0.22843812,0.21856944,0.21455817,0.2150407,0.21832184,0.2232558,0.22862284,0.23316284,0.23655403,0.23954767,0.24284421,0.24585997,0.24732572,0.24656236,0.2437371,0.24004328,0.23737705,0.2386569,0.24565427,0.2580751,0.2724732,0.2844021,0.2899101,0.2882184,0.28198686,0.27564982,0.27176595,0.26883474,0.26287374,0.2502703,0.23086081,0.20753603,0.18474929,0.16487841,0.14804262,0.13393338,0.12493778,0.12476329,0.13525225,0.15401809,0.1759156,0.19544454,0.20925702,0.21756868,0.22625588,0.24513257,0.2846065,0.34407505,0.41004893,0.45769277,0.4722848,0.45502135,0.42567238,0.40291485,0.3976817,0.40748587,0.4230918,0.43364552,0.43273303,0.4235929,0.4171742,0.42718932,0.4557368,0.48905587,0.49981937,0.46950117,0.3995142,0.3148218,0.24487078,0.21176691,0.2194479,0.25689358,0.30245873,0.3362676,0.3500202,0.35161534,0.35888314,0.3848183,0.42542478,0.45809355,0.45799676,0.4167936,0.34975663,0.2847704,0.24547243,0.2417049,0.26860586,0.3113441,0.35245922,0.37956607,0.3922092,0.40007496,0.41659406,0.44409052,0.47152495,0.4784436,0.45645925,0.41237405,0.36627468,0.33211073,0.3149033,0.30901936,0.30594003,0.29654858,0.2763775,0.25083032,0.2358282,0.25300708,0.3099669,0.39247215,0.4636688,0.49558327,0.4821426,0.445083,0.40665936,0.38035348,0.36549023,0.3588561,0.35601166,0.35342804,0.34948027,0.34807184,0.35892725,0.387229,0.4264952,0.45516777,0.45311692,0.41191542,0.34389058,0.2717391,0.22146793,0.2081803,0.23208149,0.2759315,0.31798476,0.34364173,0.35532328,0.36750627,0.39436457,0.43480155,0.46853128,0.46910706,0.42549667,0.3521208,0.27961114,0.23408711,0.22538334,0.24644084,0.2816814,0.31469655,0.33497182,0.34209228,0.34511712,0.35764477,0.38473523,0.41879407,0.44063032,0.43974146,0.41891357,0.39452687,0.37722087,0.36904785,0.36345497,0.3550006,0.34116557,0.3230854,0.3064606,0.30099356,0.31906414,0.36298266,0.42056692,0.4644045,0.47554564,0.45386693,0.42092028,0.39679578,0.38966453,0.39346638,0.40019032,0.40498284,0.4071032,0.4067689,0.4069569,0.41310194,0.43118253,0.45570627,0.47021365,0.45385695,0.4042585,0.33736002,0.28031287,0.25042772,0.25267258,0.28093505,0.32359156,0.36762524,0.40188143,0.42449328,0.44166216,0.46485373,0.49652624,0.52678657,0.5354695,0.5126299,0.46396807,0.40948263,0.36472806,0.33722267,0.32540837,0.32577416,0.33263764,0.33940175,0.342015,0.34252647,0.35220692,0.37892964,0.41913426,0.45046976,0.45450535,0.42907107,0.39425376,0.3679951,0.35498783,0.34400836,0.3235332,0.28916302,0.24827589,0.21515141,0.20645355,0.23323067,0.29486468,0.37464786,0.4443525,0.4795359,0.47585094,0.45039544,0.42627645,0.41534218,0.41539326,0.41792786,0.4162571,0.40740833,0.39187443,0.37564301,0.3695755,0.3849468,0.41889596,0.45226452,0.4555854,0.41613528,0.3437091,0.26943386,0.22127302,0.21570416,0.2499425,0.30826107,0.36848977,0.41237035,0.43471876,0.4430709,0.4533856,0.47134098,0.48752177,0.47699323,0.42832577,0.35060963,0.27495682,0.22573854,0.21403909,0.23351967,0.27248502,0.31625256,0.35257864,0.37557855,0.38911656,0.40457138,0.4292222,0.45635426,0.4656746,0.44109496,0.387925,0.33072302,0.29411602,0.28443706,0.29160511,0.30060512,0.3022179,0.29421017,0.2800741,0.2693824,0.27640665,0.3130236,0.3743496,0.43546176,0.4639059,0.44629598,0.39630377,0.34423903,0.3127786,0.30872652,0.32502055,0.3506194,0.3753097,0.39320588,0.40472972,0.41561404,0.43404233,0.46009186,0.48317727,0.4826542,0.4469187,0.38097307,0.3091692,0.25768492,0.24353926,0.2666544,0.3135973,0.3651565,0.40543374,0.42952976,0.44307503,0.45762816,0.4769597,0.49153352,0.48039794,0.43162838,0.3529496,0.27021053,0.20835732,0.18149914,0.191148,0.23098813,0.28710127,0.34218407,0.3825831,0.40748537,0.42687714,0.45167306,0.4788313,0.49249533,0.4759233,0.43274426,0.38289484,0.3498527,0.3384466,0.34029213,0.34161234,0.33667305,0.32428226,0.30568048,0.2800595,0.24632162,0.20466876,0.15896825,0.11588996,0.08168254,0.058825325,0.04559219,0.0383385,0.033999976,0.031000162,0.028818643,0.027308412,0.026377045,0.02594278,0.026069492,0.027363343,0.031113006,0.03847933,0.048501085,0.057423368,0.060840737,0.057918727,0.053048834,0.05280955,0.061402205,0.07745784,0.09627548,0.11198001,0.122048594,0.12705301,0.13099685,0.13681553,0.14515053,0.15293986,0.15630974,0.1515439,0.13767706,0.116754316,0.09513417,0.079602085,0.07393161,0.075308435,0.07816002,0.0781581,0.075728916,0.07351634,0.074358344,0.079413325,0.08856693,0.09956219,0.10803503,0.10906219,0.100528516,0.08519214,0.069549486,0.060152292,0.059675615,0.06538925,0.07077373,0.0701734,0.065799125,0.07036,0.10390428,0.17470449,0.2690326,0.35003066,0.38862967,0.3802785,0.34938458,0.32174674,0.30959904,0.30852023,0.31040022,0.3111241,0.31090268,0.31187963,0.31601968,0.3248503,0.33593282,0.34181044,0.33280197,0.30707905,0.2746289,0.2521253,0.24996094,0.265905,0.28917488,0.30914572,0.32176352,0.32874286,0.33381656,0.3375393,0.33552828,0.32158604,0.29387096,0.25890172,0.22836326,0.21105158,0.20779312,0.21292605,0.22101586,0.22985522,0.23993254,0.2506799,0.26017824,0.26612493,0.26936367,0.27323902,0.28145477,0.29063323,0.2918328,0.27524385,0.2432697,0.20855778,0.18781935,0.18761845,0.2043785,0.22822745,0.25126445,0.26979688,0.28352192,0.29392788,0.30129388,0.30419552,0.2988887,0.2832577,0.2592538,0.23382051,0.21481831,0.20713831,0.21123677,0.22459145,0.24321783,0.26202318,0.2760323,0.28198636,0.28100196,0.27754447,0.27790645,0.2834463,0.2889376,0.28345373,0.26184607,0.22985183,0.20243947,0.19108592,0.19711722,0.21282448,0.22939976,0.2416295,0.24854986,0.2513837,0.2513865,0.24879767,0.24211048,0.23056273,0.21472456,0.19880128,0.18715864,0.18419631,0.19064032,0.20508379,0.22286993,0.23909168,0.24974804,0.2541498,0.25436494,0.25491777,0.26015723,0.2727143,0.2881262,0.2969955,0.28849852,0.26290685,0.23083498,0.2081629,0.2020212,0.20945603,0.2216958,0.2324201,0.23951495,0.24286538,0.24337292,0.24473572,0.25581893,0.28467324,0.32832852,0.36741614,0.37854764,0.35323283,0.30605054,0.26162502,0.2358133,0.22857517,0.23127346,0.23697859,0.24328919,0.2506044,0.25980845,0.27197888,0.28642246,0.2970642,0.29453525,0.2725827,0.2378499,0.20571297,0.19125618,0.19718915,0.21630055,0.2378896,0.2554901,0.26742327,0.27462828,0.27796352,0.27621472,0.26598933,0.24419568,0.21197818,0.17696957,0.14990631,0.13885777,0.14488204,0.16317038,0.18691313,0.21046405,0.2304942,0.24552251,0.2556255,0.26223788,0.2679121,0.27511272,0.28228724,0.28259343,0.26744163,0.23624693,0.20012401,0.17555459,0.17237067,0.1880753,0.21272337,0.23646605,0.25432387,0.2653195,0.2706537,0.27106917,0.26544276,0.25035185,0.22388794,0.18912625,0.15589239,0.13471437,0.13160549,0.14457978,0.16781306,0.19462568,0.22005193,0.24002592,0.252553,0.25817618,0.26142952,0.26833284,0.2840041,0.30502668,0.32062116,0.31629834,0.28969356,0.25152817,0.22142732,0.21084033,0.22034657,0.24162956,0.26635933,0.28868017,0.3055716,0.31594718,0.31912127,0.3147742,0.30204162,0.28224215,0.25868514,0.23729943,0.22239281,0.2159598,0.21678793,0.22345419,0.23467255,0.24913268,0.26447627,0.27785894,0.28860986,0.29888758,0.31251204,0.32861784,0.3396928,0.33455816,0.3096546,0.27379093,0.24528009,0.24008201,0.2651125,0.31241357,0.36186516,0.38700005,0.3733542,0.32791698,0.2781521,0.25358915,0.27242285,0.33003774,0.40024474,0.44410673,0.43595576,0.3804308,0.30928057,0.25462207,0.22917022,0.22636466,0.23404343,0.24401672,0.25296977,0.2604536,0.26863724,0.28076923,0.29557133,0.30428958,0.29432902,0.26305047,0.22175162,0.1901594,0.17968357,0.18874758,0.20649906,0.22349466,0.23489672,0.24077491,0.24234994,0.24113381,0.23570307,0.22311331,0.2006618,0.1713609,0.14390698,0.12825538,0.12917541,0.14389962,0.16601992,0.18898778,0.20918386,0.22442664,0.2351572,0.24289866,0.2518171,0.26504147,0.28284207,0.29734424,0.29701683,0.27392647,0.23450828,0.19570045,0.17445062,0.17538798,0.19145651,0.21174128,0.22856058,0.24007256,0.24673569,0.24999368,0.24864823,0.24018882,0.22137898,0.1930049,0.16119286,0.13583915,0.12511979,0.1316344,0.15288629,0.18391164,0.21882032,0.25067803,0.2725115,0.28092387,0.2793158,0.27708367,0.28420687,0.30213714,0.32129082,0.3255466,0.3070372,0.2719752,0.23705162,0.21558613,0.21141236,0.22058322,0.23684645,0.25443673,0.26831654,0.27582386,0.27688953,0.27338064,0.2656653,0.25275576,0.23386557,0.21212578,0.19329484,0.18319303,0.18415564,0.1952947,0.21317838,0.23306198,0.24972044,0.25957274,0.26218235,0.26137653,0.26318017,0.2733182,0.29045224,0.30623928,0.30798388,0.29155797,0.2630085,0.23645033,0.22127022,0.21992011,0.22804715,0.24046881,0.25254205,0.2613492,0.26528323,0.2635384,0.25524235,0.23831232,0.21100698,0.17406465,0.1337472,0.099384956,0.07864806,0.07242214,0.07597505,0.08313804,0.089671366,0.093173414,0.09191354,0.08549745,0.07554653,0.06653487,0.06386367,0.07335821,0.09653524,0.13008259,0.16371842,0.18833071,0.19852702,0.19696786,0.18719715,0.17254044,0.15335254,0.13181496,0.11094352,0.09498934,0.08629323,0.08667895,0.09589636,0.11173382,0.12788044,0.13787705,0.1378739,0.12976347,0.11760964,0.10556627,0.09520959,0.08649088,0.07734551,0.06578547,0.052179392,0.04103138,0.039146695,0.0499761,0.07093794,0.09355115,0.11024541,0.11734355,0.11663535,0.11145094,0.10512694,0.10006223,0.09745591,0.09685812,0.09550414,0.09069449,0.08204305,0.07363146,0.07123951,0.07808307,0.09095404,0.10343481,0.11086059,0.11443562,0.11753533,0.122101255,0.1261565,0.1264987,0.12041976,0.10709032,0.08760965,0.0651216,0.043905184,0.027414912,0.01684542,0.011099939,0.008213499,0.006567132,0.0053571053,0.004323138,0.0034244068,0.0026604955,0.0020293226,0.0015220788,0.0011282911,0.0008352771,0.0006247573,0.0004720598,0.0003557102,0.00026307354,0.00018973416,0.00013406087,9.45261E-05,6.808449E-05,5.1158666E-05,4.0518313E-05,3.4095076E-05,3.0540068E-05,2.8902015E-05,2.8403856E-05,2.8612221E-05,2.933909E-05,3.0538988E-05,3.2063686E-05,3.35996E-05,3.4774712E-05,3.5287547E-05,3.5048404E-05,3.412465E-05,3.2819193E-05,3.1489148E-05,3.043232E-05,2.9676345E-05,2.9090175E-05,3.436967E-05,8.824973E-05,0.00033339963,0.001088844,0.0028618232,0.0062335185,0.011649991,0.01940806,0.02943906,0.04159984,0.055909928,0.074766375,0.10259209,0.14330909,0.19256283,0.23692657,0.25925016,0.25247613,0.2235716,0.1906116,0.17035371,0.17201693,0.19375645,0.22637941,0.25819543,0.280739,0.29121816,0.2909083,0.2831434,0.27159932,0.26021528,0.25184584,0.24790293,0.24833019,0.252736,0.26039028,0.27054083,0.28211308,0.2941797,0.3050135,0.31230256,0.31298965,0.30553922,0.29100373,0.27417168,0.26090023,0.25539705,0.2572428,0.2624131,0.26574072,0.2648446,0.2616651,0.26136148,0.26813135,0.28204715,0.2992531,0.31481886,0.32448247,0.3235787,0.30759883,0.27497804,0.23152886,0.18809825,0.15543175,0.14118688,0.15247424,0.19837976,0.27760938,0.3716499,0.44477236,0.47416165,0.46198356,0.43485174,0.41407242,0.4056635,0.40220955,0.39832065,0.39416113,0.39210606,0.39261663,0.39426467,0.39730346,0.39999112,0.3980101,0.38208595,0.34991193,0.3074776,0.27001795,0.24811839,0.2458517,0.2589872,0.28204542,0.30780458,0.33059707,0.34551945,0.35225144,0.352762,0.3517438,0.3524101,0.35658637,0.3627461,0.36829436,0.3707594,0.36969486,0.3663131,0.36182988,0.35709038,0.3519963,0.3475832,0.34520832,0.3477207,0.3565859,0.37095192,0.38295534,0.38121215,0.3561833,0.3112946,0.26020992,0.21942252,0.19525896,0.18489061,0.18108101,0.17953719,0.17834288,0.17601359,0.17347203,0.17801128,0.20543201,0.26441658,0.3437967,0.40926352,0.4313003,0.40606204,0.35817882,0.31574798,0.29173768,0.28429818,0.28970817,0.31101075,0.3520027,0.40658012,0.45731625,0.4858383,0.48677576,0.46515724,0.42846468,0.3789277,0.32060054,0.26210073,0.21586807,0.19087146,0.19104944,0.21428998,0.25287148,0.29476634,0.32848606,0.34841326,0.3552142,0.35348868,0.34685263,0.33787718,0.3273148,0.3172553,0.30910584,0.30425248,0.30107984,0.29772806,0.29231325,0.2854991,0.27888772,0.27450076,0.27459466,0.2816026,0.2979573,0.31938043,0.3350679,0.32932797,0.29671332,0.24371494,0.18765412,0.14218946,0.113769285,0.10005504,0.09528855,0.094840676,0.09740091,0.10761561,0.13256045,0.18228714,0.25704423,0.34357128,0.41070887,0.43496957,0.4136876,0.37202075,0.3368019,0.32305944,0.32744268,0.3412315,0.3563461,0.3693997,0.3805594,0.39282516,0.40912724,0.42728245,0.43731448,0.42521736,0.3823762,0.31355762,0.23530555,0.1684642,0.12957236,0.12684251,0.15737472,0.20775516,0.25908056,0.29659763,0.3156176,0.3209469,0.3203,0.31965435,0.32118598,0.3245769,0.32825956,0.33064917,0.3307376,0.32833743,0.32449183,0.32096025,0.31958416,0.3207884,0.32343557,0.32662845,0.3310006,0.3394574,0.35002658,0.3549068,0.33990598,0.29921484,0.2382771,0.17555887,0.12860829,0.10929819,0.117461585,0.14353527,0.17136352,0.18765044,0.19015022,0.18993218,0.20592056,0.2496515,0.31485844,0.374868,0.40235433,0.38818026,0.34921336,0.31217226,0.2950199,0.2988546,0.31555128,0.3378228,0.364805,0.39404774,0.4191269,0.4279742,0.4191861,0.39813986,0.37420908,0.34336308,0.29935607,0.24224986,0.19054496,0.16939282,0.19395472,0.25577104,0.32498255,0.37165368,0.38377786,0.3731009,0.35875583,0.35303319,0.3563107,0.3641579,0.37310168,0.38196126,0.3897914,0.39533612,0.39765278,0.39733055,0.39616635,0.39590564,0.39745376,0.4000095,0.40297106,0.40628362,0.41125405,0.41475224,0.4073049,0.3752655,0.31410217,0.23423095,0.15734752,0.101218015,0.072013535,0.06472562,0.070617765,0.08138785,0.09187744,0.10113651,0.11498523,0.14469552,0.200278,0.2771528,0.3525262,0.39691177,0.39861253,0.37152183,0.34293148,0.32996485,0.33273387,0.34165713,0.34943572,0.3529525,0.35228467,0.34821793,0.34519863,0.3480214,0.35682002,0.36064208,0.34239793,0.2932292,0.22168152,0.15112023,0.10382917,0.09279001,0.117663145,0.16990788,0.23291866,0.2904385,0.32991096,0.35067654,0.35704866,0.35737363,0.355343,0.35457516,0.35460982,0.3555561,0.35450873,0.3508859,0.34567752,0.34270582,0.34468976,0.350188,0.35563526,0.35738993,0.35780323,0.3612336,0.37020668,0.37717512,0.36896944,0.33631396,0.28442207,0.2296927,0.1885746,0.16713096,0.16151689,0.16320895,0.1648256,0.16103946,0.15000886,0.13604033,0.13211946,0.15671302,0.2166382,0.29748407,0.36429265,0.3927252,0.3821257,0.3577409,0.34044564,0.33839548,0.34540197,0.35902524,0.38155332,0.41489258,0.44934127,0.4669203,0.45672822,0.4236968,0.38236055,0.338346,0.28809687,0.22810179,0.1678363,0.12368783,0.110818334,0.13393939,0.18689466,0.25348604,0.31524706,0.35960755,0.3844172,0.39476737,0.39640656,0.39375755,0.38869765,0.3834226,0.37826213,0.37434527,0.37154725,0.3714907,0.3744774,0.38090277,0.38871014,0.39586496,0.40001717,0.40125766,0.40196145,0.40594354,0.41296253,0.41634598,0.40586308,0.37816477,0.33994618,0.30374005,0.2765181,0.2574506,0.24063574,0.22080982,0.19461167,0.16143462,0.1277877,0.10876236,0.12561713,0.18651819,0.27637228,0.35507974,0.3888756,0.36942792,0.32120374,0.27464098,0.24895345,0.24460773,0.25447994,0.27145672,0.29199448,0.31490824,0.339941,0.36638212,0.39006153,0.40215492,0.3918521,0.35530365,0.30114463,0.24731447,0.21000808,0.19598871,0.20316409,0.22560228,0.25663638,0.2897549,0.31872216,0.33932063,0.34988734,0.351565,0.347321,0.34091392,0.33612093,0.3349396,0.33698878,0.33892846,0.33720914,0.33013257,0.31955627,0.30926502,0.30307028,0.30324662,0.3107537,0.3251574,0.34427813,0.35999945,0.3603954,0.33310688,0.27925467,0.21237838,0.1541111,0.11700794,0.102947764,0.10430699,0.112527125,0.11944646,0.12052434,0.117820315,0.12310334,0.15366541,0.2180701,0.30329946,0.37534547,0.40328667,0.38227865,0.33667663,0.2966919,0.27686957,0.2739781,0.2816811,0.3004175,0.33389696,0.37546816,0.40805283,0.41400146,0.39413908,0.36136997,0.32870746,0.29385445,0.25126255,0.20373662,0.16924423,0.16963018,0.21340519,0.28669533,0.3557534,0.39190957,0.38792348,0.36205924,0.33704737,0.32561055,0.32725862,0.3359188,0.34644103,0.35494718,0.36004016,0.36136028,0.36016062,0.3571103,0.35226527,0.34528935,0.33665726,0.3282474,0.32308754,0.3249255,0.33734575,0.35881498,0.38052914,0.38687098,0.3684701,0.32827076,0.2824254,0.24612074,0.2257664,0.21560936,0.20540167,0.18790293,0.1657992,0.148748,0.14607145,0.15785627,0.17757803,0.19747914,0.21460457,0.22796708,0.23701112,0.24086006,0.24075748,0.23983939,0.24132694,0.2463365,0.25313002,0.25856414,0.26001894,0.25710967,0.25135842,0.24509995,0.23977683,0.23478816,0.22751315,0.21497893,0.19676901,0.17618845,0.15919787,0.15132868,0.15518302,0.16937433,0.18868822,0.20648462,0.21743785,0.22090608,0.22074188,0.22276135,0.23025422,0.24181259,0.25289285,0.25896117,0.25839642,0.25233242,0.24435313,0.23802273,0.23551013,0.2355123,0.23539822,0.23298408,0.22885181,0.2247446,0.22245927,0.22249378,0.22423863,0.22635691,0.22733705,0.22641264,0.22363307,0.2197529,0.21556644,0.21172626,0.20890038,0.20777346,0.20906784,0.21293332,0.21874972,0.22508903,0.23052716,0.23433065,0.23616,0.23507054,0.22870041,0.21459343,0.1917973,0.16254054,0.13121004,0.10313342,0.08185718,0.06848024,0.061512828,0.05910136,0.06025323,0.06523287,0.074143626,0.08581566,0.09742478,0.10588286,0.109961055,0.11252553,0.119308285,0.13433094,0.1548539,0.17184943,0.17694849,0.16890444,0.15513526,0.14635585,0.1510054,0.1704797,0.19870432,0.22510199,0.24066655,0.24276792,0.23506117,0.22398312,0.21364874,0.20457876,0.19397683,0.18003659,0.16322319,0.147627,0.13766791,0.1373353,0.14733322,0.1657716,0.18738295,0.20699094,0.22090709,0.22865784,0.2303642,0.22489746,0.20983355,0.18506278,0.1565714,0.1341021,0.1254893,0.13054101,0.14488593,0.16374247,0.18609442,0.2095749,0.23062736,0.24429865,0.24910663,0.24687938,0.24205554,0.23905635,0.23955703,0.2420556,0.24294376,0.24012917,0.23388185,0.22576052,0.21654373,0.20545429,0.19179744,0.17585139,0.1598915,0.14622556,0.1368836,0.13323922,0.13730381,0.15039225,0.17090577,0.19323862,0.20995454,0.21553774,0.2086723,0.19178201,0.16893773,0.14386316,0.119461335,0.098541535,0.08347523,0.076017685,0.07652065,0.08607936,0.10502366,0.13204832,0.1609321,0.18486406,0.1992606,0.20546387,0.20684552,0.2069842,0.20730726,0.2083859,0.20963667,0.21000184,0.20849814,0.20554507,0.20307074,0.20256121,0.20294708,0.19948423,0.18714936,0.16395856,0.13407807,0.10482254,0.08308574,0.07081001,0.06559777,0.06284666,0.059498083,0.05495992,0.050421298,0.046960007,0.044767704,0.0433681,0.04226305,0.041252185,0.040397663,0.040011365,0.04077451,0.043660402,0.049412176,0.057495136,0.06559058,0.07063361,0.07153497,0.07135605,0.07614177,0.090356745,0.112909526,0.13761434,0.15772964,0.16950868,0.17233445,0.1664334,0.15231805,0.13176374,0.1093927,0.09168113,0.084987074,0.09158963,0.107943,0.12436667,0.1303582,0.120330624,0.098252855,0.07524487,0.06359229,0.069566846,0.09087793,0.11858799,0.14327048,0.15969777,0.16856496,0.17310582,0.17565309,0.1752122,0.16853525,0.15251897,0.12745526,0.0989809,0.076624624,0.06928405,0.07960602,0.102844894,0.13001214,0.15377015,0.17098533,0.18206783,0.18847735,0.19141017,0.1918054,0.19026375,0.18766809,0.18519174,0.18416095,0.18448065,0.18416424,0.18097222,0.17486632,0.16874938,0.16626847,0.1691408,0.17620702,0.18432073,0.1906796,0.19387908,0.19466652,0.19426806,0.19378923,0.19313194,0.19232838,0.19147883,0.19101892,0.19062316,0.18960583,0.18772699,0.18569346,0.18491684,0.18600015,0.18870552,0.19144584,0.19272216,0.19093557,0.18565834,0.1768794,0.16526574,0.15111215,0.13487428,0.11772722,0.101862036,0.08963591,0.08181968,0.0775676,0.07503283,0.07310172,0.071293585,0.06973221,0.068260305,0.066803925,0.06520263,0.06358076,0.06200097,0.060640305,0.05967744,0.059564162,0.060978,0.064709425,0.071119785,0.07941463,0.08738644,0.091892004,0.091543324,0.08942178,0.0945997,0.11658915,0.15712948,0.20465355,0.24107169,0.25480178,0.24912725,0.23789655,0.23367189,0.23995705,0.25146973,0.26077268,0.26401353,0.26293454,0.261529,0.2616192,0.2600528,0.25178528,0.23406021,0.21106821,0.19070812,0.18044288,0.18071143,0.18811072,0.19843428,0.21137108,0.22658296,0.24190392,0.25234714,0.25373966,0.24423598,0.22482194,0.19895971,0.17247045,0.15254138,0.14547408,0.15377365,0.17480545,0.20132618,0.22535135,0.24129818,0.2482608,0.24780047,0.24231507,0.23270053,0.220482,0.20832981,0.20071405,0.19950382,0.20187324,0.20117295,0.19296272,0.17962004,0.16972852,0.17257774,0.1910309,0.21938784,0.24653375,0.26457465,0.27310157,0.27799657,0.28326353,0.28760198,0.2862407,0.2782102,0.26802135,0.2621548,0.26320028,0.2693303,0.27791318,0.2875825,0.29712215,0.3026073,0.2989085,0.2831644,0.25801858,0.231093,0.21095656,0.20270948,0.20456338,0.2091949,0.20855165,0.2004139,0.19079506,0.19112939,0.20964903,0.24627936,0.2907699,0.33137664,0.35999414,0.37676963,0.38410628,0.38432667,0.3775525,0.36487576,0.34873202,0.33250248,0.31969234,0.3132064,0.31493327,0.32436505,0.339296,0.35681406,0.374599,0.39098144,0.4042609,0.41330782,0.41762254,0.4182227,0.41554725,0.40956497,0.4018155,0.398646,0.40732208,0.42399547,0.42920384,0.39899132,0.32880875,0.24005018,0.1654936,0.12385271,0.11255181,0.11890241,0.13554122,0.16315477,0.2011924,0.24017926,0.26343742,0.25931838,0.23010166,0.19389392,0.17158788,0.17512383,0.19814946,0.22414035,0.23636568,0.23010874,0.21265464,0.19939715,0.20367163,0.22938617,0.26700658,0.2988869,0.30875683,0.29221463,0.25856295,0.22608119,0.20993376,0.21408917,0.22916205,0.2404194,0.23735373,0.2201622,0.19863887,0.18473701,0.1844598,0.19390947,0.20429842,0.20811605,0.2038442,0.19407232,0.18592925,0.18779242,0.20564283,0.2359867,0.2679415,0.29050183,0.30019748,0.30002144,0.29436538,0.2845396,0.2686403,0.24389063,0.21172994,0.18259907,0.17457944,0.20539005,0.27579662,0.36500213,0.43625322,0.46433187,0.44878507,0.41361976,0.38261715,0.366141,0.3602285,0.35863194,0.35880077,0.36252213,0.3732618,0.39355722,0.42089927,0.44448546,0.44848883,0.42032886,0.3611697,0.28527164,0.21440677,0.1665786,0.15443559,0.18210359,0.24541013,0.32736388,0.40470943,0.45630777,0.47338352,0.45769453,0.41716227,0.3609861,0.29989967,0.24524957,0.2066875,0.18818839,0.18810193,0.2018025,0.22654629,0.2612096,0.3033596,0.34577015,0.37867284,0.3961405,0.39970744,0.39793873,0.3959349,0.3928196,0.38061786,0.36051023,0.34198657,0.3403697,0.3567611,0.38074577,0.39521778,0.3921374,0.37084982,0.33710182,0.29889998,0.27020615,0.26861212,0.30498862,0.36918905,0.4303966,0.45738813,0.44335076,0.4078047,0.3783132,0.36857447,0.37662056,0.39288756,0.40932918,0.42107713,0.42640114,0.42704964,0.42670688,0.42836693,0.4305487,0.42778566,0.41403544,0.38856423,0.35736403,0.33062968,0.3174797,0.3227385,0.3456277,0.37926582,0.4132563,0.43696097,0.44438538,0.4339341,0.40911746,0.37661245,0.34561756,0.32189777,0.3038187,0.28368893,0.2569296,0.23105073,0.22341244,0.24896741,0.30669633,0.37852362,0.44020495,0.47545657,0.4820634,0.4705443,0.45328236,0.4384105,0.4227933,0.40288234,0.37797725,0.35658267,0.3442626,0.3420529,0.34406486,0.3450719,0.34071103,0.32940313,0.3140012,0.3051387,0.31770754,0.35969937,0.42004737,0.47158983,0.48811853,0.46626428,0.42539975,0.39205953,0.3786068,0.38138315,0.38893947,0.39363608,0.39383793,0.3938351,0.39953592,0.41530415,0.437803,0.4572974,0.46139506,0.4435246,0.4043603,0.3512063,0.2943491,0.2473998,0.22430797,0.23395602,0.2719399,0.32145846,0.3618038,0.3799878,0.3744757,0.3513497,0.31810424,0.27974147,0.2401303,0.2035997,0.17593892,0.16172983,0.16331176,0.18250293,0.22008602,0.27387163,0.33319795,0.38406768,0.41507652,0.42576817,0.42416346,0.4201775,0.41818464,0.41458383,0.40542173,0.391839,0.3819786,0.38071522,0.3857375,0.38796285,0.38140106,0.36528364,0.34451386,0.32448432,0.3126932,0.31677482,0.34422103,0.39012554,0.43766248,0.46117207,0.4510604,0.41585305,0.3793632,0.35662174,0.35155,0.3578095,0.36956128,0.38255024,0.39559254,0.4097618,0.42757276,0.4491864,0.46872792,0.47518876,0.45851853,0.41827,0.36443233,0.31230316,0.27430394,0.25898978,0.2705964,0.30781016,0.35984257,0.4100219,0.44329605,0.45348397,0.44292465,0.41917756,0.39170504,0.3688334,0.354748,0.34711394,0.34005055,0.32948115,0.31870902,0.3165613,0.33101633,0.36101785,0.3965112,0.4249644,0.4405252,0.44589922,0.44730577,0.44697726,0.44238758,0.4309304,0.41690743,0.408855,0.41369355,0.428479,0.44384345,0.4489145,0.43790957,0.40933827,0.3654782,0.31566235,0.27810046,0.27739,0.32299522,0.3997816,0.46792746,0.49758816,0.48315048,0.446649,0.40942645,0.3829489,0.3664926,0.3582487,0.35663745,0.36102578,0.37080136,0.3864826,0.40635952,0.4234916,0.42505023,0.39939836,0.34496483,0.27320948,0.20422055,0.15689941,0.14495955,0.17265509,0.23446842,0.3128847,0.38632247,0.43746194,0.4605963,0.45798925,0.43541846,0.399724,0.35975078,0.32468796,0.30014944,0.28692833,0.28412807,0.2927855,0.31489477,0.34881076,0.38709617,0.419037,0.43697324,0.44016567,0.4349191,0.42955932,0.4264362,0.41961446,0.3994759,0.3670497,0.33569977,0.3233846,0.33490124,0.3604094,0.38313487,0.39123476,0.38089868,0.3549961,0.32443532,0.30519637,0.31465158,0.35516432,0.41213712,0.45676765,0.47185484,0.45854723,0.43575898,0.41898593,0.41521072,0.42274037,0.4380819,0.45513692,0.46637034,0.46667734,0.45854214,0.4502006,0.44753838,0.446722,0.43502364,0.40027007,0.34072217,0.2684448,0.20467941,0.17176233,0.18366604,0.23963173,0.32128727,0.40278164,0.4616928,0.49030507,0.49003723,0.46662918,0.42379013,0.3675855,0.30696973,0.2526902,0.2124037,0.1898136,0.18752138,0.20885444,0.25528947,0.320323,0.38923988,0.44476065,0.47814766,0.4907713,0.49199226,0.48630193,0.47300377,0.44683728,0.4128077,0.38472807,0.37925658,0.39950848,0.4329075,0.4593035,0.4615141,0.43334964,0.3778403,0.31032562,0.25369236,0.23555867,0.2703825,0.34789225,0.43139878,0.482275,0.48545113,0.45524547,0.4169083,0.38487935,0.36011896,0.33830014,0.31919637,0.30749342,0.31021968,0.33294797,0.37391844,0.42212364,0.45779753,0.46231234,0.4262341,0.3573052,0.2754834,0.20583825,0.16789676,0.17167163,0.21402068,0.2791473,0.34464157,0.3925948,0.41764453,0.42510137,0.42246667,0.41364968,0.3991432,0.37991288,0.3591061,0.34121856,0.33047,0.3296183,0.33956802,0.3580059,0.379836,0.3985051,0.40964505,0.41274425,0.41134092,0.41057146,0.41218945,0.41193417,0.401118,0.37723958,0.34924686,0.3336043,0.33966637,0.36223802,0.38660777,0.39987096,0.39790416,0.38295877,0.3615748,0.3431749,0.3409163,0.3643209,0.40911952,0.45400652,0.4731573,0.4572691,0.41939774,0.3838434,0.365822,0.36570355,0.37600395,0.39132985,0.41314992,0.44044468,0.46831158,0.48365358,0.48246363,0.4658142,0.44307664,0.414116,0.37863123,0.33688274,0.30144238,0.28821743,0.30821398,0.3537217,0.40030757,0.4218061,0.41173968,0.38494274,0.3621606,0.35059547,0.34450254,0.3360689,0.3249162,0.31662917,0.31634352,0.32760212,0.35205325,0.39244163,0.44252786,0.48676798,0.49992108,0.47193065,0.41281796,0.35347655,0.31895086,0.31823444,0.34071365,0.37090504,0.40162966,0.43515846,0.47245064,0.50085,0.5026025,0.47251907,0.4255943,0.3826945,0.35257876,0.32972112,0.30503997,0.27668136,0.24984209,0.23119855,0.22146629,0.21436411,0.2003423,0.1750238,0.14319961,0.116780736,0.10631835,0.11428038,0.13306695,0.15077488,0.15791585,0.15274222,0.14037956,0.12908132,0.12506582,0.12745607,0.12966372,0.12402409,0.11185497,0.10206162,0.10533071,0.12360555,0.15169916,0.18240432,0.21162234,0.23694973,0.25552943,0.2649041,0.2645285,0.25681305,0.24536109,0.23431015,0.22687846,0.22456326,0.22621639,0.22867118,0.2295065,0.22821607,0.22699672,0.22745107,0.23017924,0.23309664,0.23402423,0.23102027,0.22415902,0.2144512,0.20289187,0.1900515,0.17626154,0.16303432,0.15251344,0.14812697,0.15396602,0.17265375,0.20179641,0.23117483,0.2478822,0.24271864,0.217393,0.18250865,0.1529523,0.13972537,0.14539105,0.16341086,0.18324918,0.19775636,0.20770784,0.21960218,0.2388001,0.26369834,0.28665748,0.29942966,0.29805768,0.28427982,0.26383647,0.24485558,0.23374462,0.23268579,0.2382667,0.24534996,0.25037476,0.2532915,0.2559431,0.25966728,0.26363018,0.26507935,0.26204872,0.25491643,0.24652267,0.23909302,0.23356116,0.22919309,0.22650473,0.22665505,0.2318588,0.24189888,0.25475353,0.26659963,0.27582398,0.28310344,0.29035243,0.29685214,0.29891145,0.29181632,0.27402392,0.2484635,0.22093,0.19606678,0.175618,0.1601938,0.151201,0.15072899,0.15853073,0.17284842,0.19085224,0.21101035,0.23046757,0.2471134,0.26130974,0.28012142,0.31450474,0.36865392,0.43080854,0.47412744,0.47792503,0.44327006,0.3943628,0.35676014,0.34300604,0.34885016,0.36345842,0.37528434,0.37842962,0.3746494,0.37466595,0.3912103,0.42927623,0.47743487,0.5108521,0.50475097,0.45245567,0.37051773,0.29034194,0.24072671,0.2364979,0.27431405,0.33567965,0.39522168,0.43186462,0.44034126,0.4331346,0.43244204,0.44906852,0.47255766,0.47486708,0.438871,0.3705084,0.29828507,0.2491665,0.23868473,0.26573113,0.31894395,0.37954286,0.42966577,0.45944473,0.4716699,0.4776287,0.48542598,0.49239376,0.48475325,0.45449856,0.40786293,0.3650783,0.34129366,0.3375124,0.34148,0.33977187,0.32503608,0.29806694,0.2665085,0.2439434,0.24696447,0.28668678,0.35762575,0.43530264,0.48979068,0.5064899,0.49274316,0.46784565,0.44588992,0.43145785,0.4223561,0.415508,0.408577,0.402086,0.40143347,0.41396067,0.4423666,0.47603476,0.49407002,0.47621667,0.41889462,0.3380113,0.2611095,0.21341123,0.2091812,0.24847901,0.31700587,0.3913908,0.4485079,0.47790876,0.48512134,0.48796114,0.49763003,0.5100965,0.50251967,0.45894387,0.3823571,0.30052632,0.24187316,0.22286606,0.24118836,0.28458765,0.3358232,0.37862563,0.40266165,0.40896106,0.40927455,0.41587594,0.43125567,0.44451645,0.44532898,0.43398318,0.42315722,0.42232153,0.43079674,0.43926063,0.44020703,0.4300759,0.40847167,0.37712356,0.3447752,0.32739612,0.34135714,0.38796926,0.44893804,0.49508712,0.5094921,0.49575755,0.47267866,0.4555178,0.4495214,0.45121285,0.45498943,0.45646122,0.45426318,0.4525691,0.4584991,0.47622025,0.49757174,0.5040223,0.47647646,0.41243553,0.32783523,0.24995267,0.20081276,0.19208951,0.22223866,0.28019544,0.3467066,0.4033109,0.43992648,0.4600531,0.47477415,0.49114776,0.5042681,0.49932447,0.46740127,0.41447064,0.3603234,0.32237196,0.30848923,0.31592134,0.33873472,0.36721918,0.39192164,0.40503228,0.40927112,0.41401076,0.43026304,0.45596576,0.4774004,0.47774327,0.45644233,0.4290804,0.41530982,0.41948724,0.4295491,0.42684186,0.4003947,0.3531507,0.3004253,0.26346672,0.25880516,0.29236686,0.35235393,0.4158223,0.45585498,0.46287623,0.4455825,0.42638353,0.41835383,0.4219177,0.42630693,0.42284152,0.4079416,0.38535175,0.36433515,0.3567777,0.37198555,0.4068105,0.44446787,0.45878324,0.43344727,0.37111065,0.2951067,0.23369665,0.20902441,0.22813034,0.2829442,0.35335365,0.4170618,0.46080193,0.48477134,0.4986799,0.5088281,0.51104194,0.4912052,0.44048226,0.3664223,0.29211983,0.24081106,0.2238204,0.23962975,0.27989003,0.33320308,0.38661432,0.42900255,0.4557152,0.47075853,0.48163095,0.4900286,0.48820242,0.46534112,0.4236879,0.37915567,0.35277414,0.35067055,0.3653225,0.3802011,0.38364792,0.36930183,0.339784,0.30553982,0.2839706,0.29280174,0.33527645,0.3961775,0.44353792,0.4567677,0.43580616,0.4043963,0.38294518,0.3804245,0.3908172,0.40631315,0.42062697,0.43149498,0.44041142,0.45214927,0.47191152,0.49698392,0.51556647,0.50974363,0.4717178,0.40887687,0.34341338,0.29571772,0.2770112,0.28596246,0.31523895,0.35425988,0.39281914,0.4229356,0.44353497,0.45920256,0.47620144,0.49040544,0.48824587,0.45347497,0.3869731,0.30599624,0.23688738,0.19731052,0.19463028,0.22647996,0.2830348,0.34840837,0.40486547,0.4432887,0.46466193,0.47822285,0.4873377,0.4877591,0.4685242,0.43003598,0.38549486,0.35735655,0.35680318,0.37937474,0.40769324,0.42509,0.42238638,0.39869308,0.35841444,0.30626553,0.24739198,0.18692033,0.13246755,0.090454556,0.06399924,0.050795723,0.046511207,0.047181737,0.050437853,0.05445464,0.057619154,0.058892366,0.058225054,0.0564464,0.055676732,0.059786808,0.07374371,0.098617285,0.12712102,0.14503324,0.14198703,0.12119038,0.09806737,0.08919501,0.10245362,0.13586973,0.18156676,0.2285691,0.26654473,0.28799352,0.29249287,0.28473353,0.27259073,0.26091006,0.24946035,0.23281686,0.20689301,0.1737438,0.14321049,0.12677321,0.1301633,0.14889193,0.17067331,0.18410678,0.1847008,0.17654365,0.1666158,0.16071695,0.16076303,0.165316,0.17045325,0.17153384,0.16517837,0.15112323,0.13273874,0.115777105,0.10457253,0.0986472,0.093235604,0.08614867,0.0858575,0.11112628,0.17631157,0.27103516,0.35851514,0.39798042,0.37891665,0.32554686,0.276971,0.25435403,0.25584003,0.26638415,0.27501833,0.27891353,0.28110245,0.28695974,0.3009663,0.32426062,0.34905604,0.36197388,0.35153222,0.32162204,0.28810236,0.26896235,0.26931903,0.28330627,0.3011044,0.31739548,0.3313814,0.34395996,0.355014,0.36219254,0.36083844,0.347082,0.32090032,0.28916618,0.26126054,0.2451364,0.24275582,0.25225112,0.26907417,0.28811097,0.3038262,0.31257427,0.31388178,0.31173158,0.31286904,0.3240008,0.3452884,0.36635828,0.37056693,0.34788573,0.30622482,0.2658075,0.24495602,0.24644022,0.2620332,0.28129697,0.30060562,0.32056537,0.34210587,0.36205378,0.37394536,0.3708388,0.35028347,0.31714424,0.28264603,0.25795203,0.2483428,0.2514233,0.2618598,0.27569574,0.29189754,0.30956307,0.32640147,0.33886516,0.34610114,0.35100532,0.36011958,0.37453675,0.38832977,0.38855353,0.37077618,0.34117612,0.3156184,0.30374417,0.30625096,0.31574562,0.32568744,0.33273885,0.33676645,0.33762705,0.33370993,0.32165134,0.2999872,0.2712316,0.24323577,0.22362112,0.21678986,0.22132783,0.23439705,0.25338295,0.27680996,0.30204117,0.3253521,0.34404203,0.3582245,0.3714838,0.38683376,0.40371463,0.41347918,0.4058663,0.37544665,0.3319862,0.29247537,0.2723676,0.27279457,0.28590658,0.30087635,0.3126186,0.32040787,0.32629475,0.33429137,0.35013413,0.38083652,0.42233893,0.45906368,0.4650086,0.43170786,0.37139368,0.31611755,0.28710592,0.28874326,0.30785453,0.33088842,0.34938908,0.36174738,0.36983696,0.3765854,0.38462448,0.39228317,0.39377198,0.38123918,0.35440192,0.32209393,0.2986251,0.29205096,0.301126,0.31786868,0.3350594,0.3487606,0.35830283,0.36338782,0.36278316,0.35334325,0.3332992,0.30480883,0.27642664,0.25806537,0.25670648,0.27176645,0.29830873,0.32936093,0.35960925,0.38540804,0.40592888,0.4222748,0.43633616,0.44918346,0.45983586,0.465211,0.45905933,0.4361025,0.39593208,0.34882367,0.31016922,0.2932596,0.30009505,0.32365042,0.35287285,0.37949482,0.39932752,0.41174635,0.41679934,0.41293144,0.3959999,0.3635808,0.31948927,0.2759345,0.24644013,0.23903197,0.25187644,0.27792826,0.30917522,0.34002665,0.36649656,0.38654926,0.3999566,0.40913495,0.41755876,0.42822352,0.43904054,0.44195405,0.42628983,0.38932583,0.3417828,0.30258667,0.2859639,0.2928107,0.31420133,0.33886907,0.36015177,0.37582502,0.3869711,0.39431164,0.396348,0.38940427,0.37091044,0.34388533,0.3162456,0.29714116,0.29071033,0.29635045,0.31058976,0.33114278,0.35593152,0.3827817,0.40809944,0.42895928,0.44402623,0.45422176,0.46060762,0.46048197,0.44747162,0.41531062,0.36757836,0.31841156,0.28751278,0.28639486,0.3125429,0.34794918,0.37082514,0.36672878,0.34087372,0.31212926,0.30347478,0.32611096,0.37578478,0.4307822,0.46244702,0.45028433,0.39865538,0.3327381,0.281886,0.2587093,0.26010633,0.27405295,0.29240286,0.3100126,0.3263838,0.3423234,0.3600106,0.37847567,0.38977468,0.3831097,0.35211885,0.30638096,0.2634509,0.2407038,0.24053015,0.2572744,0.28055075,0.30484986,0.32589749,0.34193632,0.35034236,0.348058,0.33143649,0.29953277,0.25872853,0.220686,0.19744635,0.19300127,0.20497352,0.22711618,0.25519398,0.28526196,0.3141581,0.33879796,0.35822758,0.37390435,0.38795868,0.40198016,0.41220573,0.4108871,0.38903114,0.34770012,0.30008835,0.26560232,0.25649497,0.27128336,0.29982057,0.33037743,0.35647035,0.37488222,0.38574764,0.38826263,0.38125578,0.36164883,0.32925126,0.28879735,0.25121972,0.22753476,0.2233354,0.23668079,0.2614591,0.292198,0.32432684,0.35422492,0.37768206,0.3934776,0.40418097,0.41524693,0.42957866,0.4410217,0.43788007,0.40934178,0.36004257,0.30578825,0.26789615,0.25624672,0.27055576,0.3007443,0.33655092,0.36857566,0.3922614,0.40605783,0.40993163,0.4024179,0.38176176,0.34941876,0.3115416,0.27692643,0.25255665,0.24248968,0.24766171,0.26715276,0.29655793,0.32966116,0.36000118,0.38453028,0.403414,0.41863963,0.43164644,0.43985498,0.4365504,0.4136916,0.37153104,0.32206953,0.2840868,0.2702243,0.2805988,0.30608585,0.3363944,0.36466286,0.3873719,0.4033892,0.41192147,0.41132727,0.39585626,0.3596612,0.30077842,0.22899304,0.1604305,0.11108548,0.086177856,0.08259168,0.09222778,0.10764253,0.12123754,0.12662734,0.12071013,0.10604837,0.09011015,0.08174767,0.08914876,0.11488548,0.15492173,0.19689913,0.22893433,0.24369454,0.2424757,0.2286886,0.20566608,0.17530884,0.14135748,0.10955161,0.08581165,0.07400777,0.07553369,0.08920384,0.11068096,0.13227253,0.14684892,0.15194713,0.15087421,0.14802216,0.14511378,0.14068167,0.13268809,0.1195285,0.10076647,0.07792447,0.056176722,0.04309234,0.045144763,0.06285615,0.0900351,0.11673027,0.13543345,0.14398952,0.14481552,0.14129488,0.13537724,0.12755139,0.11738955,0.10493957,0.090637065,0.07573813,0.062084958,0.0530004,0.052699957,0.06376647,0.08420288,0.10723889,0.12548165,0.13498503,0.13682254,0.1340277,0.12827094,0.118287355,0.10212473,0.08021959,0.056461737,0.03595857,0.021777408,0.013700262,0.009497371,0.007019213,0.005156339,0.0036417218,0.0024593996,0.0015977084,0.0010077804,0.00064038386,0.00043523122,0.0003304977,0.0002789706,0.00025371902,0.00024482008]