[0.049840137,0.047420267,0.042696137,0.037894998,0.03441136,0.032340776,0.031017384,0.029879808,0.028704936,0.027501523,0.02639681,0.025509648,0.024886938,0.024358867,0.023597518,0.022185234,0.019811084,0.016418813,0.012398747,0.008679237,0.00684593,0.008987182,0.017373763,0.03352483,0.05801898,0.09018027,0.12874328,0.17041631,0.21024245,0.24189325,0.26171198,0.26935884,0.26754856,0.2587587,0.24484324,0.22754733,0.20973505,0.19566776,0.18991391,0.19524825,0.20965521,0.22654867,0.23813426,0.24109674,0.23686655,0.22920229,0.2193469,0.20775954,0.19566852,0.18733351,0.18628864,0.19369514,0.20660658,0.22085275,0.23205124,0.2385781,0.24113645,0.24250613,0.24436773,0.24603333,0.24503283,0.23933607,0.2299897,0.22078234,0.21703146,0.22149812,0.23246191,0.24386625,0.24952199,0.24739903,0.24039839,0.23399591,0.23171711,0.23374568,0.23665734,0.23697005,0.2335306,0.23005967,0.23247014,0.24532539,0.26775602,0.293988,0.31633344,0.32911694,0.3311653,0.32513478,0.3155431,0.30579698,0.2976924,0.2918104,0.28849685,0.287053,0.28492257,0.2780641,0.26365668,0.24242659,0.21828987,0.19568332,0.17687841,0.1624784,0.15240502,0.14749555,0.14961141,0.16198681,0.18802021,0.2269427,0.27126226,0.3075498,0.32485884,0.32018226,0.29968598,0.27270684,0.2469484,0.22627056,0.2117278,0.20356113,0.2024476,0.20950513,0.22393483,0.2419823,0.25757948,0.2666508,0.26852146,0.26594365,0.26142776,0.25624427,0.24982053,0.24177708,0.23354717,0.22993775,0.23761399,0.2606289,0.29543665,0.33103845,0.35511282,0.36166692,0.3529286,0.33583763,0.3168139,0.30001286,0.28709543,0.27814758,0.27215657,0.2678168,0.26417148,0.26012707,0.25513268,0.24874114,0.24169415,0.23491143,0.22977205,0.2267347,0.22518153,0.22410037,0.22362019,0.22599111,0.23292744,0.24416822,0.25654384,0.2669622,0.27316353,0.27432266,0.27092886,0.26517466,0.26120067,0.2619684,0.2678142,0.27560115,0.2824018,0.287082,0.28986874,0.28989533,0.2849122,0.27386016,0.2593793,0.24679786,0.24154265,0.24454033,0.2532799,0.26222953,0.2691778,0.2744362,0.28138077,0.29041067,0.2990869,0.30244765,0.29720938,0.28322548,0.2635381,0.24275722,0.22482061,0.21175449,0.20388456,0.20206438,0.2089864,0.22809486,0.26020205,0.30144432,0.344263,0.380702,0.4048213,0.41340184,0.40587744,0.3856304,0.36058864,0.3410711,0.3337816,0.33743683,0.34381393,0.343946,0.33357525,0.31414378,0.28984693,0.26448092,0.23950593,0.21486624,0.1900162,0.16619784,0.14649741,0.13617283,0.13986339,0.1593092,0.18961376,0.2205184,0.23965769,0.23935604,0.21908164,0.18512131,0.14628175,0.11053857,0.08375899,0.07020089,0.073823504,0.09633265,0.13477063,0.17919801,0.21687298,0.23791373,0.24066158,0.2299826,0.21343024,0.19631688,0.1809035,0.16708088,0.15537953,0.14781952,0.14740221,0.15487419,0.16768356,0.18063019,0.18897639,0.19002084,0.18359496,0.17099065,0.1541563,0.13582475,0.1208692,0.11782982,0.13646406,0.18136488,0.2444218,0.30547342,0.3419508,0.3424293,0.31226364,0.26817057,0.22677855,0.19619511,0.17575507,0.16126084,0.15122724,0.14832735,0.15671654,0.17691182,0.20364739,0.22776987,0.24112116,0.24084835,0.22950797,0.21299462,0.19656862,0.18380515,0.17588897,0.17323005,0.17638381,0.18662721,0.2046712,0.2281497,0.25143766,0.2676749,0.27308837,0.26825997,0.25711074,0.24382074,0.2311876,0.22046213,0.21267049,0.21075346,0.2197445,0.24351807,0.27758837,0.30720326,0.31295094,0.2852758,0.2304898,0.16798812,0.115371786,0.08119502,0.06416897,0.06212051,0.07640824,0.11031848,0.16193573,0.22050007,0.27099165,0.30264592,0.31400263,0.31072637,0.3003057,0.2884345,0.27758718,0.2671111,0.2544989,0.23924066,0.22539245,0.2203914,0.22789371,0.24282067,0.25218883,0.24416031,0.21558297,0.17370637,0.13011976,0.0940379,0.06911562,0.05538854,0.053063497,0.06389131,0.088956654,0.124642886,0.16249834,0.19273329,0.20976944,0.21316831,0.20636244,0.19286503,0.17588222,0.15774272,0.14195615,0.13323198,0.13759367,0.15812066,0.19123746,0.22409306,0.2410003,0.23129882,0.19757217,0.15190484,0.11007442,0.08250252,0.074106984,0.08455167,0.1123026,0.15420413,0.20567624,0.25934663,0.30717912,0.34333953,0.36601093,0.3762546,0.376152,0.3683668,0.3562301,0.34193376,0.32608244,0.30910227,0.29543808,0.29179558,0.30124906,0.31653512,0.32343876,0.31076416,0.27943382,0.24039938,0.20581079,0.18102689,0.16530985,0.15648414,0.15512477,0.16276671,0.17861098,0.19693768,0.21027894,0.2139178,0.20918584,0.20060547,0.19154404,0.18178833,0.16963755,0.15459909,0.1383391,0.12414473,0.11621487,0.11762061,0.1278926,0.14169644,0.1524839,0.15648925,0.1544856,0.14894676,0.14116316,0.13086088,0.11774066,0.103608035,0.09341074,0.09365948,0.10890567,0.13622965,0.1662991,0.1873762,0.19415934,0.1879033,0.17486674,0.15931414,0.14359371,0.12766518,0.11302394,0.10259447,0.100789815,0.10966569,0.12685901,0.14554541,0.15857756,0.16206633,0.15667686,0.14545012,0.13180178,0.11796975,0.1051971,0.09370044,0.08330319,0.07375827,0.0650725,0.0577117,0.05277585,0.052440014,0.05926321,0.07464201,0.09687418,0.1217277,0.14474373,0.1643642,0.18245482,0.2033201,0.23073332,0.26475748,0.30000332,0.32709065,0.3384303,0.33214006,0.31431994,0.2941992,0.27984807,0.27124405,0.26277423,0.24810301,0.2295136,0.215771,0.21652526,0.23312406,0.2602832,0.28880808,0.31164,0.32199076,0.3145872,0.2864058,0.2422614,0.19463843,0.15852116,0.14381285,0.15157741,0.17539541,0.2039283,0.22524895,0.23246463,0.2280094,0.22135204,0.21981229,0.22089644,0.21625523,0.2036642,0.19815755,0.22196646,0.28784314,0.3818483,0.47348872,0.53265685,0.5482903,0.52814716,0.4895208,0.4481441,0.4121318,0.38377032,0.36257455,0.34836328,0.34181154,0.3435744,0.3527768,0.3653536,0.37458897,0.37536678,0.36704156,0.35375202,0.33991328,0.32794273,0.31952712,0.31767058,0.32734323,0.3487672,0.37456444,0.38982356,0.38433442,0.36051527,0.33354977,0.31917182,0.32176185,0.33371696,0.34232318,0.3402352,0.32689264,0.30694017,0.2862886,0.2705469,0.2639283,0.2652563,0.26723206,0.2590818,0.23732537,0.21167547,0.20089245,0.21581452,0.25080338,0.29031527,0.33097768,0.38236842,0.45347953,0.5270407,0.5703473,0.55696577,0.49297833,0.40651143,0.3294064,0.27953207,0.2614653,0.27213153,0.30453333,0.35328627,0.41209725,0.47337368,0.5196109,0.5331962,0.5053608,0.44818652,0.38481638,0.33698463,0.31522742,0.32013252,0.34739855,0.3884383,0.43235984,0.46727595,0.4859476,0.48683783,0.4736648,0.4513177,0.42384112,0.39412418,0.36534032,0.34131595,0.3236412,0.30997667,0.2956357,0.27921355,0.26465476,0.25777113,0.26181138,0.27598402,0.29794046,0.3235942,0.34792534,0.36662042,0.3796692,0.38994142,0.4001545,0.4111974,0.42746297,0.45415714,0.49369392,0.53315145,0.5551009,0.5439296,0.50417167,0.4492507,0.39842916,0.3610773,0.34033528,0.33153975,0.32909563,0.32910195,0.3310705,0.33639216,0.34423947,0.35141197,0.35336754,0.34756124,0.33440724,0.31729448,0.30112714,0.29032776,0.28815487,0.29659402,0.3175665,0.34953293,0.385414,0.41094124,0.41329286,0.3882043,0.34540725,0.30186102,0.2727976,0.26266947,0.26321748,0.2599797,0.2421542,0.21230608,0.1832418,0.16989356,0.17931215,0.2103272,0.25628543,0.30708668,0.35151935,0.38069785,0.39356104,0.39414883,0.388885,0.38387844,0.39121708,0.42188677,0.4769021,0.53385806,0.56375146,0.5491965,0.5009403,0.44185698,0.39036044,0.35027698,0.3200778,0.30307427,0.30870807,0.34663787,0.4135745,0.49164963,0.55057,0.5696617,0.54614884,0.5000197,0.45283103,0.4192133,0.39872935,0.387719,0.38164666,0.3822656,0.3914003,0.410431,0.4324859,0.44780934,0.4475225,0.43235764,0.40824926,0.3825159,0.35913,0.341337,0.33126462,0.32758817,0.32497993,0.3177466,0.30594757,0.2942045,0.2870865,0.2835876,0.27837932,0.26663443,0.2500064,0.23813134,0.2444696,0.27482295,0.322717,0.3732771,0.42077827,0.46873212,0.5210157,0.5640057,0.5779321,0.55307966,0.50277585,0.44766256,0.40210953,0.36828795,0.3459785,0.33458495,0.33341345,0.3377929,0.34389603,0.34826472,0.34926128,0.34348944,0.33031246,0.31197932,0.29392064,0.2797043,0.27178273,0.27411273,0.2930343,0.33150157,0.38285637,0.43146178,0.46133614,0.464547,0.44449103,0.41127086,0.3760196,0.34478387,0.31870815,0.29446408,0.26886758,0.24000716,0.21135986,0.19102746,0.18943025,0.21134776,0.25214186,0.2983844,0.3367447,0.35941347,0.3686041,0.3701109,0.36914706,0.3642389,0.35421625,0.3460996,0.3590409,0.40869465,0.48751697,0.5596194,0.5856664,0.55051666,0.47273633,0.38331768,0.30694535,0.25330684,0.22580107,0.22565526,0.25535765,0.31574258,0.39968896,0.48758528,0.55043167,0.56895703,0.5441523,0.497134,0.4501836,0.41631532,0.39594567,0.38461277,0.37911987,0.38089478,0.39287785,0.41336504,0.43288198,0.4403131,0.4315249,0.41284466,0.39305258,0.37608448,0.35931525,0.34160563,0.32630482,0.32015237,0.32490203,0.33702937,0.34923396,0.35692692,0.3583032,0.35402933,0.3455228,0.33450317,0.32420936,0.31773853,0.31808403,0.32424143,0.33467612,0.34978783,0.3766978,0.4202348,0.47485486,0.52053076,0.53816295,0.5219907,0.4834634,0.43844667,0.39732882,0.36232874,0.33090344,0.30103037,0.27223223,0.24868716,0.23480506,0.23377244,0.24179983,0.25183955,0.2560989,0.2524166,0.24302363,0.23256654,0.22438498,0.221844,0.23034663,0.25673792,0.3030286,0.3597052,0.4061984,0.42245576,0.401952,0.35666704,0.306494,0.26753366,0.24427731,0.2335887,0.22773568,0.21991998,0.2069212,0.1934189,0.18859877,0.19988608,0.22473383,0.25186133,0.26772568,0.2674696,0.25884974,0.2571009,0.27260265,0.30282214,0.33805904,0.37370038,0.4151446,0.4667386,0.5187592,0.5493867,0.5415933,0.49697074,0.4319588,0.36499858,0.30776212,0.26719823,0.24798363,0.2539735,0.28772876,0.348488,0.42766,0.50130224,0.54074556,0.5260815,0.46619734,0.38615298,0.316205,0.26999626,0.2506967,0.25052872,0.26322448,0.28454888,0.31540027,0.3536414,0.3884213,0.40290192,0.38544238,0.3389555,0.2790397,0.22565965,0.1950208,0.1929844,0.21314108,0.23902576,0.25535345,0.25559098,0.24382752,0.22533397,0.20226933,0.17351018,0.14181735,0.11380073,0.097925924,0.09844515,0.11504122,0.14182304,0.17022844,0.19112752,0.19990277,0.19797295,0.19103181,0.18379249,0.17651103,0.16606374,0.1513619,0.13789213,0.1364045,0.15378486,0.18452758,0.21182448,0.2190228,0.20317912,0.17575602,0.15463936,0.14893329,0.15508856,0.15894806,0.15025684,0.13056557,0.115108676,0.11694038,0.13762085,0.16604422,0.19776618,0.23737776,0.29279938,0.3547096,0.4050783,0.42912307,0.43124458,0.42376304,0.41749725,0.41417456,0.41105303,0.40307137,0.38526475,0.3567355,0.32474342,0.30303413,0.3019676,0.3199722,0.34431508,0.36213472,0.3698219,0.37367427,0.38073322,0.39000595,0.3938059,0.38771567,0.38354668,0.40144995,0.4526303,0.51785016,0.55996275,0.54943514,0.48939252,0.40744463,0.3337197,0.28561175,0.26742685,0.27834377,0.31258476,0.3644159,0.42614245,0.4892663,0.53669137,0.5505681,0.5237471,0.47009608,0.4154161,0.3797541,0.36964628,0.37923196,0.40063596,0.42506608,0.44729304,0.46275032,0.46956095,0.46445486,0.44453523,0.4068118,0.35304955,0.29026163,0.23159659,0.18878643,0.16666698,0.15902837,0.15614611,0.153211,0.15592809,0.17479289,0.21506254,0.27010486,0.32463828,0.36435878,0.38475356,0.3915325,0.3951614,0.4009776,0.40813005,0.41337955,0.42338797,0.44936976,0.4978752,0.55305135,0.589783,0.58797246,0.5518659,0.49801072,0.44505468,0.40238032,0.37415823,0.36035967,0.35731354,0.35855636,0.35899127,0.3589532,0.36249676,0.37249133,0.38644937,0.39803576,0.40173435,0.39655527,0.386264,0.375412,0.36840644,0.3674945,0.3757278,0.39223036,0.41274187,0.42718828,0.4288514,0.4174502,0.40145996,0.38911283,0.38337877,0.37898389,0.3673476,0.34137288,0.30144283,0.2564874,0.22115631,0.20688434,0.21609099,0.24134736,0.27176574,0.29788828,0.31460848,0.32117447,0.32097408,0.31996807,0.32431647,0.34010872,0.37359592,0.42695835,0.49086812,0.5412462,0.55325675,0.5176153,0.44943985,0.37349153,0.3100845,0.2668502,0.24682973,0.25248381,0.2863305,0.34581652,0.41968718,0.4899118,0.53548604,0.5455788,0.5222711,0.4818934,0.4394748,0.40514895,0.37972626,0.3637577,0.3570194,0.36192092,0.37800434,0.40237966,0.4248015,0.43374825,0.42058393,0.38815513,0.34708264,0.31106955,0.2895843,0.2856554,0.29502165,0.3068895,0.31027818,0.3001214,0.28199247,0.2660221,0.25946203,0.2605088,0.2616405,0.2562906,0.24605387,0.24069308,0.25246572,0.28383723,0.32544377,0.3616967,0.39026737,0.4204639,0.46433672,0.5134625,0.54730344,0.5460813,0.51256627,0.46359286,0.41965148,0.38885257,0.37015092,0.3573611,0.34785333,0.34192905,0.34207693,0.34870481,0.360455,0.37342656,0.3837107,0.3871381,0.38168857,0.36762884,0.34953913,0.33479652,0.33118924,0.3434758,0.3708048,0.40596536,0.43539485,0.44544873,0.42937288,0.39271474,0.34792712,0.30677626,0.27474955,0.252503,0.2380359,0.22841205,0.22134393,0.21801455,0.22305155,0.24115574,0.2713962,0.30722925,0.33994746,0.36467695,0.38004848,0.3860133,0.379719,0.3588606,0.3275834,0.3041745,0.3148345,0.37477145,0.46791252,0.54967356,0.5776732,0.5408761,0.46393302,0.3809341,0.3137799,0.2664596,0.23710091,0.22758456,0.24632633,0.30184832,0.38858604,0.480291,0.53782797,0.5380803,0.48852405,0.42350087,0.37493053,0.35850537,0.3689135,0.3939844,0.4202168,0.44200578,0.4581519,0.4706457,0.47628555,0.47019684,0.4487778,0.41619667,0.38112426,0.3537459,0.3408792,0.3435266,0.3549268,0.3639401,0.3633592,0.35602066,0.3517344,0.35702857,0.36925122,0.37862292,0.37698928,0.36293635,0.34388104,0.3314397,0.3349345,0.35526875,0.3855753,0.4197593,0.45775834,0.5027982,0.55038637,0.5863135,0.59576327,0.57574946,0.53635997,0.49079788,0.44680497,0.4058473,0.36912248,0.33954164,0.3213621,0.3155854,0.32114458,0.3340497,0.35125616,0.36827466,0.38108158,0.38441357,0.37600207,0.35663608,0.33151898,0.30719665,0.29133117,0.2916765,0.31251183,0.34962228,0.38760507,0.40973032,0.40824363,0.39037573,0.36964205,0.35633647,0.35198578,0.35123682,0.3470347,0.33456635,0.3148217,0.2923909,0.27276015,0.2579949,0.2472571,0.23775189,0.22777021,0.21860105,0.21589838,0.22543192,0.24646111,0.26972994,0.28710917,0.30601668,0.34599796,0.4189869,0.50467235,0.56134194,0.5553112,0.49207115,0.40567604,0.33131018,0.2798095,0.24384284,0.21567011,0.2012894,0.21848218,0.2795584,0.3780109,0.47945133,0.54423887,0.5482339,0.50345474,0.44027552,0.38593474,0.3471693,0.31642017,0.28776193,0.2646902,0.2608358,0.28538367,0.33347476,0.3814524,0.40328574,0.38739958,0.34501243,0.2973113,0.26108608,0.24125941,0.23517895,0.23640239,0.23768567,0.23364319,0.22494318,0.21841316,0.2203237,0.23024279,0.24054275,0.24510449,0.24438228,0.24529117,0.25361374,0.27029058,0.29196957,0.3149599,0.33688906,0.3547293,0.3643365,0.36264428,0.35281885,0.34306312,0.34188485,0.3513511,0.3676109,0.38355586,0.3928281,0.39231452,0.38303962,0.3706052,0.35997972,0.35448372,0.35289368,0.35373402,0.35368088,0.35060814,0.34260392,0.3315046,0.32062435,0.3140588,0.31289396,0.31651065,0.32211685,0.3276255,0.33135667,0.33471122,0.34040776,0.35119784,0.36539415,0.3771217,0.3785591,0.3650242,0.3384169,0.30759856,0.28448105,0.2765231,0.2816335,0.28961837,0.2890508,0.27503157,0.25116745,0.22840749,0.21738178,0.22291346,0.23984425,0.2582043,0.26917696,0.26985732,0.26230133,0.25116685,0.24204303,0.23995624,0.24756794,0.26399243,0.2846488,0.3040872,0.31770793,0.32417294,0.32423612,0.3197185,0.31206796,0.30218887,0.2912761,0.2798169,0.26769736,0.25421926,0.2411242,0.23385602,0.23836803,0.25582162,0.27925405,0.299715,0.31233165,0.31963304,0.32559884,0.33099672,0.33230224,0.32588935,0.31196424,0.29472277,0.27917442,0.26755372,0.25862125,0.25012666,0.2403204,0.2281072,0.21248579,0.19371735,0.17553662,0.16386245,0.16495968,0.18000607,0.2051006,0.23041613,0.24650483,0.24701828,0.23324259,0.21109907,0.18836783,0.16952658,0.15563507,0.14626616,0.14272028,0.14779015,0.16267966,0.18533635,0.2113268,0.2374268,0.26166093,0.28288898,0.29880095,0.3081759,0.31128407,0.31029692,0.30589855,0.29740092,0.28390792,0.26775762,0.25331846,0.24440539,0.24088079,0.23971526,0.23710208,0.23113501,0.22179265,0.21079595,0.20025063,0.19237165,0.18793829,0.18670337,0.18676509,0.1866331,0.18486913,0.18168467,0.1774066,0.17332123,0.17007951,0.16823573,0.16725786,0.1666828,0.16654636,0.16756673,0.16955389,0.1703204,0.1669079,0.15840076,0.14764331,0.1398829,0.13999797,0.14974363,0.16721009,0.18732935,0.20497145,0.2166423,0.2220424,0.22217686,0.21882544,0.21323681,0.20670186,0.19986622,0.19286716,0.18535145,0.17743373,0.17012258,0.16508573,0.16318102,0.16371201,0.16446143,0.16369817,0.16115163,0.15861201,0.15848608,0.16323382,0.17380892,0.1895137,0.20736061,0.22393082,0.23635255,0.24362612,0.24600863,0.24512555,0.24349202,0.24362768,0.2461288,0.24887455,0.24862154,0.2447777,0.24097426,0.24266338,0.25139704,0.26289487,0.27058172,0.27174184,0.26920238,0.2672155,0.2668114,0.26492396,0.25882685,0.24985468,0.24324782,0.24340625,0.24964716,0.25722238,0.26155695,0.26262805,0.2639729,0.26909778,0.27820325,0.28847703,0.2974449,0.30400786,0.3077861,0.30652246,0.2975228,0.28007713,0.25762996,0.23657966,0.2238791,0.22500272,0.24170028,0.26994464,0.29912898,0.31613198,0.31264117,0.29103062,0.2631782,0.24348493,0.24063317,0.25485218,0.27951208,0.30648208,0.32908618,0.34371307,0.34948263,0.3477186,0.34162116,0.33411133,0.32733685,0.32167742,0.31726208,0.31379092,0.3113893,0.3101707,0.3106874,0.3127111,0.31537023,0.31658044,0.3147851,0.3088807,0.30000457,0.29045174,0.28359225,0.28051364,0.2798654,0.2784755,0.2750541,0.27121305,0.2704339,0.27524453,0.28551713,0.2985413,0.31071082,0.31979266,0.3256826,0.3286494,0.3262556,0.31407848,0.28962883,0.25762692,0.22848938,0.21326251,0.21603559,0.23269792,0.2527406,0.2658007,0.2660565,0.255648,0.24284293,0.23639554,0.23918003,0.24598984,0.2497658,0.2475862,0.24341254,0.24286444,0.25023806,0.2661264,0.28916448,0.31485856,0.3381665,0.3542569,0.3619797,0.36246696,0.35902396,0.35486904,0.3526741,0.3533764,0.35597596,0.358086,0.35699105,0.35104892,0.3408873,0.32984376,0.3221459,0.31922445,0.3167033,0.30752984,0.28826538,0.26526392,0.25043163,0.25348172,0.27311334,0.29951563,0.32072115,0.33160546,0.33414304,0.33427265,0.33583894,0.33980814,0.34520015,0.35142434,0.35832322,0.36557975,0.37236094,0.37753227,0.3806213,0.38169822,0.38117853,0.37924525,0.3764774,0.37428442,0.37374866,0.3742925,0.37280342,0.366691,0.35536286,0.3415911,0.32825938,0.3176471,0.3097329,0.30385515,0.29777884,0.2889103,0.27470765,0.25572523,0.23569609,0.21964143,0.20964317,0.20433939,0.20114498,0.19974506,0.20135929,0.20722441,0.21616538,0.22649331,0.2361135,0.24565256,0.2561462,0.26993287,0.28576562,0.30100167,0.31141558,0.31648803,0.31843677,0.32048118,0.3230103,0.32334355,0.3189128,0.30947283,0.29730266,0.28431144,0.2705939,0.255101,0.23763771,0.22060406,0.20743077,0.20049976,0.198667,0.19888748,0.19841687,0.19678189,0.19479787,0.19266345,0.18997544,0.1861165,0.18228716,0.17983572,0.18035196,0.18379253,0.1898539,0.1975622,0.20565073,0.21277075,0.21748455,0.21967095,0.21960084,0.21890892,0.21885137,0.22073714,0.22476739,0.23095274,0.2388164,0.24727076,0.25386238,0.2556051,0.25130415,0.24343188,0.23771591,0.23910755,0.24867578,0.26173303,0.2712154,0.2712908,0.26179087,0.24776882,0.23589611,0.22962214,0.22746237,0.22627765,0.22425109,0.22213525,0.22084737,0.22051239,0.22004272,0.21821459,0.21380903,0.20732315,0.2007928,0.19747813,0.19829695,0.20191948,0.20521401,0.20576404,0.20150222,0.19106509,0.17477633,0.15558416,0.1379663,0.12555453,0.12044532,0.124395214,0.1389839,0.16362232,0.19321968,0.21998237,0.23799975,0.2470417,0.25099483,0.2531834,0.252544,0.2443404,0.22490561,0.19553553,0.16393681,0.13997708,0.13231517,0.14319693,0.16875319,0.19894361,0.22387202,0.23667334,0.23627402,0.22463126,0.20614459,0.18680274,0.17246811,0.1657713,0.16456069,0.16622739,0.17110448,0.18240975,0.20091556,0.22262365,0.2415603,0.25403142,0.26117346,0.2657063,0.27031553,0.27477396,0.27863312,0.28146046,0.28455964,0.2886581,0.2926701,0.2939173,0.28977636,0.28116897,0.271976,0.26830924,0.2733739,0.28628528,0.30167094,0.31351164,0.31678638,0.308545,0.28800514,0.25846332,0.22764683,0.20471956,0.193817,0.19071828,0.1859486,0.17281406,0.15290308,0.13448127,0.12570839,0.12890412,0.14049637,0.15506126,0.16894044,0.18066593,0.18968932,0.19586813,0.19921619,0.1995693,0.19543771,0.18519782,0.16877832,0.14934762,0.13158122,0.11902732,0.11218804,0.10922435,0.10797454,0.10715765,0.10653179,0.10594218,0.10515825,0.10377339,0.101722024,0.099136166,0.096334964,0.09351689,0.09080475,0.088109285,0.08535436,0.082674064,0.08121156,0.08352538,0.09298826,0.11104208,0.13393907,0.15269558,0.15787792,0.14651012,0.12470763,0.104133874,0.09570915,0.10464854,0.12928139,0.16152132,0.1908678,0.20913756,0.21489416,0.21252339,0.20744266,0.2017145,0.19354396,0.18169236,0.16819058,0.15866362,0.15761405,0.16607548,0.18074222,0.19723552,0.21190214,0.22334367,0.23159885,0.23747881,0.24137013,0.2431857,0.24279453,0.24116951,0.24074148,0.24480247,0.25553206,0.2722725,0.29124203,0.3075012,0.31750715,0.32023028,0.31581298,0.30353212,0.28164852,0.25055957,0.21593088,0.18810481,0.17576897,0.17986508,0.19214845,0.20089321,0.19704841,0.17912447,0.15241659,0.12691648,0.11054779,0.10624341,0.11077294,0.11979952,0.1289797,0.13422088,0.13087164,0.11728994,0.097129434,0.07746702,0.063707046,0.05667572,0.05465244,0.056815673,0.0655463,0.08344257,0.10986122,0.13791846,0.15894131,0.1673696,0.16477355,0.15649831,0.14771323,0.14043446,0.13452499,0.1292632,0.12447944,0.12079441,0.119084336,0.11978715,0.1219368,0.12354144,0.122736186,0.11937588,0.11493259,0.11127558,0.10913413,0.10835552,0.10874665,0.11112387,0.11594779,0.12254772,0.12818183,0.13048394,0.12848188,0.123737484,0.1182445,0.1135891,0.11014155,0.108135305,0.10841614,0.11266941,0.1222054,0.13604456,0.15026884,0.15992197,0.1622569,0.15839738,0.1518615,0.14578746,0.14125033,0.13801807,0.13627951,0.13801229,0.14589132,0.16069855,0.1786291,0.1926346,0.19648576,0.18926223,0.17504697,0.15963918,0.14666943,0.13697387,0.13011396,0.12677127,0.12944949,0.1409116,0.16042118,0.18204044,0.19679111,0.19884449,0.18880652,0.17263077,0.1564155,0.14367336,0.13514417,0.13126503,0.13336313,0.14377964,0.1631339,0.18791878,0.21000059,0.22120892,0.2184123,0.20547424,0.18955682,0.17617498,0.1669985,0.16122629,0.15880592,0.1620651,0.17471963,0.1974697,0.22463398,0.24528565,0.25033703,0.2386664,0.21734048,0.19542058,0.17838539,0.16688354,0.15978827,0.15731916,0.1622849,0.17760523,0.2025075,0.23010463,0.25080428,0.25854638,0.25465438,0.245269,0.23579504,0.22805609,0.22105946,0.21417743,0.20952459,0.21317966,0.23235077,0.26859605,0.313375,0.35100913,0.37038484,0.37134477,0.36308888,0.35429683,0.34905812,0.34684944,0.34590387,0.3443346,0.34210882,0.3421434,0.3484029,0.36114046,0.37468585,0.38180628,0.3798008,0.37244764,0.36507663,0.36006418,0.35575843,0.35037348,0.34446815,0.3418899,0.34698224,0.36205694,0.38463333,0.4088094,0.42795277,0.43845725,0.44001964,0.43494034,0.42648625,0.41779396,0.4108111,0.4058278,0.40312955,0.40366575,0.40887013,0.41767406,0.42627168,0.4298401,0.426608,0.41889012,0.41139007,0.40761054,0.40797424,0.4104786,0.4133017,0.41705826,0.42437318,0.43700826,0.45301595,0.46753788,0.47659865,0.48060492,0.4832972,0.48784527,0.49337968,0.49639547,0.49393642,0.48653767,0.47757602,0.47140136,0.47143462,0.4784253,0.49054065,0.5031455,0.5115206,0.51190424,0.50345314,0.4869797,0.4636604,0.43351018,0.3973012,0.36051556,0.33472905,0.33119678,0.35055563,0.3790139,0.3979495,0.39805683,0.38484696,0.3703276,0.36232546,0.3600278,0.35974336,0.35922956,0.3622925,0.37373194,0.3981686,0.43264544,0.47086325,0.50307095,0.5235731,0.5297628,0.5243783,0.5118856,0.4951971,0.4745661,0.45082816,0.43526003,0.44406804,0.48913118,0.5572989,0.62001127,0.6475702,0.6360834,0.6011343,0.5650267,0.5361543,0.5109907,0.48136875,0.44505182,0.40635252,0.374779,0.3580588,0.35698,0.36136517,0.35746992,0.3381133,0.3112062,0.29372132,0.2995161,0.32766363,0.3656305,0.40113437,0.433221,0.467391,0.503648,0.5296517,0.53144985,0.5066343,0.467824,0.4317458,0.40729454,0.39271304,0.3790935,0.3583013,0.3272777,0.2923535,0.2653339,0.257236,0.26955304,0.29391778,0.31719074,0.3312588,0.33723494,0.34384075,0.35741147,0.37510487,0.38696542,0.38869548,0.39333177,0.4213383,0.4831446,0.5589783,0.6166207,0.6301126,0.60438997,0.56053454,0.52229357,0.49735287,0.48238978,0.47091547,0.46370694,0.4694318,0.49575922,0.5388711,0.58030516,0.59941477,0.587272,0.5522856,0.50956994,0.47106302,0.44040683,0.41903248,0.4083604,0.41211987,0.431228,0.46179584,0.49267945,0.51045305,0.50652635,0.48248622,0.44902518,0.4186122,0.3993204,0.3906604,0.3856411,0.375358,0.35600564,0.33263913,0.31681216,0.319914,0.34404123,0.3810638,0.41588172,0.43776298,0.44306758,0.43540946,0.41752276,0.38995087,0.35453,0.32234752,0.31706533,0.35930857,0.44878927,0.5522306,0.62669355,0.6461164,0.61866957,0.5712214,0.5278346,0.49746022,0.47519395,0.45185423,0.42024586,0.38303283,0.35187843,0.34083918,0.3539517,0.3809036,0.40473053,0.41391352,0.40861878,0.39547122,0.38082004,0.36628857,0.35323584,0.3475618,0.36089966,0.40000615,0.45529225,0.50132436,0.51352775,0.48647186,0.43466845,0.38040134,0.33889413,0.3160931,0.31012404,0.3155073,0.32370982,0.32860595,0.32982275,0.33525673,0.3514744,0.3774036,0.39964488,0.4065757,0.3976263,0.38964966,0.39961657,0.4314294,0.4699626,0.49945912,0.51891726,0.5413492,0.57533,0.6098606,0.6244305,0.6057672,0.5619588,0.5112379,0.47081015,0.4453204,0.43226683,0.4278803,0.43580046,0.4633987,0.5140019,0.5759342,0.6274805,0.6485281,0.6348393,0.5964985,0.5495343,0.5066124,0.47343597,0.4521066,0.44225928,0.44605672,0.46290573,0.48923066,0.51341814,0.5249867,0.51779395,0.4958974,0.46651503,0.4381987,0.41629037,0.40493095,0.40438852,0.41168877,0.41994274,0.4231876,0.41798043,0.40503168,0.3856466,0.36211476,0.3376359,0.31817403,0.3092011,0.3132337,0.32706204,0.34516016,0.36283866,0.3836932,0.41793704,0.47534728,0.5496897,0.61724013,0.650739,0.63995606,0.59668225,0.5424112,0.49427235,0.46043256,0.4424585,0.43714818,0.43804345,0.43975985,0.44189653,0.44754624,0.45710453,0.46511802,0.46352085,0.44814205,0.4212308,0.3895295,0.3600968,0.33858356,0.32938543,0.3368647,0.3625667,0.4016734,0.44045925,0.46290532,0.4590366,0.43122986,0.39099553,0.3529314,0.3281692,0.32130253,0.3288709,0.34237862,0.35309437,0.3580332,0.35994422,0.36354402,0.3698903,0.37563765,0.37682387,0.37300202,0.36901367,0.37167147,0.38608214,0.4108393,0.44061682,0.47093758,0.5048918,0.546282,0.5910951,0.6214921,0.6197264,0.58033806,0.51614946,0.44561043,0.38430557,0.33900902,0.31320548,0.3085445,0.3303831,0.38205945,0.46125975,0.54845285,0.61613727,0.639861,0.61956954,0.57373863,0.52932745,0.50036544,0.48912773,0.48855317,0.4940406,0.5029042,0.5156328,0.5308805,0.54566294,0.5560748,0.5607402,0.5606973,0.55627257,0.54604506,0.5293303,0.5093499,0.4911842,0.47665438,0.46265987,0.44390607,0.41809502,0.38708237,0.35530517,0.32811394,0.3095989,0.303737,0.311182,0.33098218,0.3570584,0.38312832,0.40403065,0.42256105,0.44593826,0.4797444,0.5194165,0.55163157,0.5641117,0.55398774,0.52930486,0.50133806,0.47829974,0.4629217,0.45464504,0.45316032,0.4567604,0.4603592,0.4537873,0.42816758,0.38265046,0.32531342,0.2676049,0.21670957,0.17511527,0.1420057,0.1165617,0.097769,0.084711574,0.0760726,0.070387244,0.06611855,0.06243679,0.059376076,0.057757434,0.058216736,0.060856134,0.0650692,0.069878906,0.07433369,0.07786375,0.080556504,0.08294934,0.0857625,0.08954092,0.09463882,0.10099926,0.107997715,0.11407429,0.11700747,0.1144933,0.10613748,0.09544616,0.091271795,0.10398474,0.1397116,0.19402993,0.25483322,0.30830395,0.34706438,0.37017155,0.38084078,0.382524,0.37823388,0.3708931,0.36274603,0.35504675,0.34700045,0.3376975,0.32713878,0.3181717,0.31418964,0.31740013,0.32573143,0.33525896,0.3418617,0.34487912,0.34488085,0.3428158,0.33762136,0.32865277,0.3167642,0.30574718,0.2996364,0.3009553,0.30815074,0.317889,0.32596576,0.3307478,0.33142838,0.32834986,0.32097885,0.30952704,0.29524288,0.28052345,0.26791647,0.2588684,0.25425544,0.25420496,0.25826177,0.26461858,0.27017894,0.27209818,0.26922858,0.26328942,0.25715664,0.2531791,0.25179768,0.2526801,0.25521865,0.25890794,0.26180935,0.26144496,0.25512823,0.24257384,0.22544222,0.20726861,0.19087951,0.17746234,0.16615151,0.15553622,0.14532657,0.13728224,0.13441212,0.1383905,0.14742136,0.15634756,0.16021015,0.1574622,0.1510762,0.14557654,0.14410682,0.14667292,0.15170807,0.1580792,0.16627932,0.17687927,0.18859063,0.19768071,0.20034207,0.19511418,0.18368685,0.16896926,0.15323637,0.13746804,0.122505926,0.11025835,0.10402421,0.10724217,0.12114205,0.14261223,0.16431552,0.17780937,0.17831044,0.16698909,0.14967106,0.1325631,0.11939517,0.11063575,0.10535911,0.10329675,0.10600697,0.11501791,0.12904765,0.1427256,0.15003158,0.14835738,0.1403898,0.13139702,0.12602219,0.12650265,0.13300788,0.14484243,0.16121346,0.18153627,0.20432685,0.2265553,0.24381869,0.25272223,0.25259492,0.24596363,0.23661542,0.22773314,0.22023736,0.21286224,0.2031977,0.19068648,0.17775947,0.16919576,0.1676846,0.17240705,0.17943262,0.1858592,0.19049399,0.19352897,0.19442606,0.19273005,0.18919085,0.18659274,0.18835826,0.19645774,0.21014772,0.22578852,0.23841356,0.24376251,0.24078144,0.23201936,0.221963,0.21407308,0.20878978,0.20403345,0.19711407,0.18755822,0.17720236,0.16852646,0.1611812,0.15235144,0.13926047,0.12261406,0.10587152,0.09269195,0.08449475,0.080790155,0.08083785,0.08539764,0.09665809,0.11609653,0.1412402,0.16535865,0.18097429,0.1855099,0.18238975,0.17813408,0.17688625,0.17937416,0.18399169,0.19001299,0.19835435,0.21108894,0.22894843,0.24875276,0.26305345,0.2632827,0.24529308,0.21309191,0.17680277,0.14694299,0.12798375,0.11843038,0.11401447,0.11309577,0.11672104,0.12632151,0.13968556,0.15095127,0.15393914,0.14670523,0.13302617,0.11949601,0.11118829,0.10896038,0.11021278,0.11145515,0.111191,0.11104724,0.11433717,0.12210945,0.13074386,0.13354892,0.12660684,0.11210355,0.09706081,0.08782456,0.08689335,0.092832565,0.10316344,0.116580606,0.13366725,0.15489377,0.17788859,0.19718482,0.20784992,0.21023315,0.20951517,0.21077223,0.21379666,0.2149985,0.21284658,0.21110076,0.21472794,0.22389694,0.23298417,0.23584981,0.23171069,0.22454326,0.21862952,0.21469414,0.21151577,0.20826203,0.20465766,0.19950841,0.19133072,0.18184097,0.17636596,0.17975415,0.19064848,0.20137314,0.20363526,0.19471997,0.17873144,0.16270502,0.15205263,0.14857925,0.15123938,0.15765004,0.16505677,0.17171223,0.17755401,0.18421715,0.19203065,0.19869368,0.19971478,0.19254768,0.17825685,0.1609837,0.14497869,0.13317288,0.12718153,0.12791489,0.13571762,0.14964846,0.16707341,0.18391663,0.1963601,0.202644,0.20417367,0.20452249,0.20717257,0.2130083,0.2197121,0.22396679,0.22480607,0.22538333,0.23026489,0.2412924,0.25550738,0.26799512,0.2758454,0.27920744,0.279143,0.2753192,0.26697636,0.25481206,0.24203277,0.23228012,0.2275825,0.22724342,0.22918685,0.23150764,0.23367333,0.23644787,0.24090143,0.24717815,0.25307298,0.25411722,0.24481161,0.2224998,0.19042914,0.15843473,0.13767676,0.13408442,0.1443914,0.15934788,0.16996914,0.17234601,0.16773485,0.15964013,0.15127487,0.14430185,0.13960962,0.13785897,0.1402335,0.1472097,0.15767549,0.16807152,0.17455792,0.1750918,0.17122132,0.16638982,0.1637572,0.16388214,0.1649024,0.16394897,0.15979081,0.15473093,0.1539755,0.16235067,0.18003438,0.20201969,0.2207945,0.230932,0.23078428,0.2219733,0.20753355,0.19050789,0.17359407,0.15906501,0.14947379,0.14665812,0.15036656,0.15667586,0.16017164,0.15769291,0.15163945,0.14798371,0.15153944,0.16109197,0.16995679,0.17047639,0.16045596,0.14495005,0.13262212,0.12849672,0.13060892,0.13275753,0.13082416,0.12567143,0.121175416,0.120077915,0.12204305,0.124456085,0.12457842,0.12202155,0.1199471,0.12398663,0.1380067,0.15996534,0.18221319,0.19647837,0.2000931,0.1964788,0.1914662,0.1883126,0.18733414,0.18822716,0.19185324,0.19955795,0.21078415,0.22315115,0.23361234,0.24083686,0.2448482,0.24665202,0.24720828,0.24784096,0.2496239,0.25263467,0.25548515,0.25650164,0.25555837,0.25445816,0.2547085,0.25518888,0.2520928,0.24296826,0.22947049,0.2166998,0.20792186,0.20216955,0.19624324,0.18992756,0.18653865,0.18936688,0.19693053,0.20397973,0.205736,0.20284058,0.20112796,0.20747049,0.22349294,0.24345827,0.25843468,0.26429132,0.26564303,0.27207884,0.2895335,0.31607413,0.34363362,0.3647238,0.3745737,0.37217352,0.35751775,0.33282897,0.30040598,0.26335293,0.22481227,0.19178309,0.17507213,0.18545322,0.22405434,0.2779603,0.3257178,0.35077766,0.35000348,0.33001602,0.29921582,0.2626981,0.22613007,0.19560765,0.17732888,0.17316301,0.18227945,0.20058723,0.22222668,0.24085365,0.25384998,0.2628881,0.26897502,0.26759228,0.25020322,0.21697466,0.18402196,0.18370724,0.23961048,0.350073,0.4755728,0.5694633,0.6016057,0.58252907,0.5420913,0.50976914,0.49301255,0.4842297,0.47246802,0.4552935,0.43868634,0.42895952,0.42662677,0.42583844,0.42170188,0.41393661,0.4060805,0.39953426,0.39288858,0.3854055,0.38028786,0.38303623,0.39649782,0.42047238,0.45104322,0.4815569,0.5003478,0.49675825,0.46809086,0.4251018,0.38447368,0.3575884,0.3430179,0.33071995,0.31073046,0.28083333,0.24833857,0.227322,0.22996576,0.25603703,0.28856763,0.3031908,0.2868001,0.24964286,0.22005098,0.22178118,0.2549492,0.29635465,0.3251656,0.3469303,0.38801184,0.46379885,0.551411,0.6048358,0.589529,0.50967807,0.39936414,0.2998689,0.24014914,0.22799198,0.25514853,0.3052785,0.36958256,0.4420506,0.51512355,0.5684585,0.58544105,0.5612857,0.5114166,0.45623472,0.4142687,0.39461768,0.39834586,0.41885105,0.44658884,0.4749829,0.5006039,0.52084917,0.52925485,0.52101815,0.49576274,0.46242595,0.43162087,0.41210103,0.40365025,0.40135923,0.39826658,0.39107504,0.3795725,0.36622533,0.35597268,0.35405114,0.36297688,0.37730065,0.38879427,0.39279738,0.39569423,0.40599838,0.4255464,0.44429612,0.4541049,0.46069065,0.48002467,0.52017134,0.56610435,0.5944824,0.5917068,0.5681949,0.54262877,0.5287397,0.52715015,0.53064847,0.5325396,0.5283944,0.51991415,0.50918394,0.49970922,0.4907272,0.48185325,0.47235072,0.46540013,0.46392158,0.46957886,0.47968194,0.49027157,0.49898276,0.5073444,0.51845354,0.53170466,0.5403583,0.53376,0.50544125,0.4572328,0.40029037,0.3473319,0.3081937,0.28224623,0.262125,0.23682638,0.20454639,0.17427193,0.16270848,0.18125458,0.22791374,0.2889365,0.34551474,0.38571718,0.40708163,0.41709343,0.421904,0.42150438,0.41116717,0.3958675,0.39559785,0.43129194,0.5004266,0.5686478,0.5952535,0.56309706,0.4907452,0.41071293,0.34793532,0.30943513,0.29340157,0.2981136,0.32688293,0.38308695,0.46158266,0.5415862,0.59543127,0.60465854,0.57671106,0.5353164,0.5052699,0.49243113,0.4908409,0.49019957,0.48937178,0.49183512,0.5017685,0.5171425,0.53191304,0.53965956,0.53844494,0.5294047,0.5153022,0.4971435,0.47758293,0.4600282,0.44922975,0.44533715,0.44437027,0.43820843,0.42044953,0.3874848,0.34148964,0.28775063,0.23476459,0.19229466,0.17321272,0.19101465,0.25130245,0.34289524,0.4391254,0.51571226,0.56673384,0.6027522,0.633815,0.65537065,0.6555179,0.6271549,0.5770727,0.5204918,0.47274718,0.4436665,0.4330661,0.43536833,0.44099024,0.44539514,0.44680527,0.4474543,0.44781706,0.44817102,0.44795597,0.4466417,0.44382262,0.43966833,0.43811345,0.44363818,0.45949504,0.482618,0.50726604,0.5257054,0.53147346,0.51902795,0.48731986,0.4409871,0.39007112,0.34375444,0.3058637,0.27261904,0.24041645,0.21235068,0.20163631,0.22012599,0.26783213,0.32724008,0.37587574,0.39943227,0.40078256,0.39282465,0.3886285,0.3921764,0.39751974,0.39419714,0.37860724,0.36422285,0.37572685,0.4281148,0.5048798,0.56501865,0.57143,0.5192064,0.43329784,0.3471624,0.28012487,0.23398449,0.2024041,0.18581831,0.197423,0.25249386,0.35042283,0.46281314,0.5501082,0.58493394,0.5704997,0.5305402,0.4917966,0.46887133,0.4628165,0.4677017,0.47733805,0.49018025,0.50596523,0.5223766,0.5318608,0.5286673,0.51304525,0.49301687,0.47645018,0.46700943,0.4634731,0.46284518,0.462685,0.46045068,0.45505473,0.445053,0.4299591,0.40874287,0.38305166,0.35725906,0.3380265,0.33106735,0.33960864,0.3640432,0.3999817,0.4376272,0.46535218,0.48201296,0.49916303,0.53317976,0.58088326,0.6218344,0.62951905,0.60201925,0.5547442,0.51064485,0.47612116,0.44920108,0.425328,0.40700197,0.39651763,0.39265212,0.3920692,0.39310977,0.39708927,0.40186468,0.4030975,0.39565107,0.3831767,0.37555125,0.38447937,0.41139114,0.44783518,0.48245952,0.5100625,0.5302833,0.5392913,0.52894586,0.49252927,0.43311337,0.3626821,0.2973129,0.2510426,0.22873378,0.22355829,0.22090012,0.21372674,0.2090341,0.22091849,0.2516659,0.28661558,0.30531886,0.30018958,0.28195068,0.2724029,0.28706595,0.32516518,0.3678482,0.39762866,0.4154525,0.44282505,0.4964192,0.56330496,0.60730815,0.59665006,0.5322307,0.44080272,0.35737646,0.304459,0.28889033,0.30548307,0.3443266,0.40007934,0.46740913,0.5378313,0.5898437,0.6040926,0.572466,0.5103324,0.44376433,0.39893615,0.38686833,0.4020697,0.42736745,0.44946048,0.46660423,0.48486456,0.5031125,0.5080165,0.4835932,0.4274609,0.35692096,0.29898277,0.2727014,0.27796113,0.29710606,0.31083244,0.31039584,0.30131063,0.29104042,0.2790864,0.25647697,0.2167592,0.16633536,0.122975506,0.105698116,0.12359343,0.17085613,0.23143458,0.28564718,0.32240292,0.34118596,0.35089374,0.35719165,0.35785997,0.344249,0.31185824,0.26859963,0.23234296,0.22112577,0.23789711,0.269094,0.29233083,0.29420564,0.27692726,0.25482777,0.24219121,0.24303608,0.24949282,0.24603802,0.2237091,0.18773548,0.15805548,0.15023817,0.16335423,0.18088497,0.19379704,0.21275967,0.25806054,0.3347467,0.4214519,0.48824263,0.51728296,0.5139241,0.4935162,0.47160086,0.45534933,0.44552258,0.43711022,0.4237368,0.40443754,0.38585082,0.38048384,0.39344558,0.4192072,0.44134557,0.44919452,0.44292787,0.43575895,0.43818164,0.4520259,0.4686519,0.48389074,0.5026223,0.53412765,0.57362556,0.5991876,0.58518463,0.5247316,0.43515155,0.34700155,0.28696856,0.26822117,0.2872037,0.3296531,0.38083172,0.4370488,0.49849615,0.5595171,0.5986437,0.5974959,0.5517636,0.48154056,0.41304585,0.37002087,0.36038414,0.37960127,0.41294742,0.4472407,0.47646666,0.50081736,0.51888704,0.5235736,0.50780374,0.47241357,0.42907062,0.39315128,0.37336716,0.36781108,0.36682412,0.36367893,0.35754418,0.35467422,0.35972628,0.37401393,0.39235675,0.40834996,0.41723248,0.4200884,0.42324188,0.43417415,0.4554408,0.47988424,0.49526024,0.4961693,0.49445847,0.5098581,0.5492468,0.59237075,0.609011,0.5834554,0.5287768,0.4701505,0.4280931,0.4079386,0.40663102,0.41629687,0.42965075,0.44067731,0.4482272,0.45393446,0.46034053,0.4673538,0.47355905,0.4772984,0.4786562,0.47839716,0.47784948,0.47823593,0.48079535,0.48649302,0.4949386,0.5039461,0.5086277,0.50390166,0.48760214,0.4630343,0.43650082,0.41185537,0.38750768,0.35789576,0.3203485,0.27875102,0.24348141,0.22465478,0.22763743,0.25166753,0.29169592,0.33965603,0.38462034,0.4169062,0.43229663,0.43568254,0.4343648,0.43301415,0.43052673,0.43064937,0.44382894,0.47972822,0.5304871,0.56912374,0.5700975,0.52643234,0.45626566,0.38382027,0.3317841,0.31033775,0.3219457,0.35840714,0.4106638,0.47034812,0.53137255,0.5837895,0.6151368,0.61794853,0.59354764,0.55351925,0.51129276,0.48050842,0.46720424,0.4705764,0.48328325,0.4985846,0.5136021,0.5269857,0.536051,0.535193,0.5207096,0.49354443,0.4616214,0.4371749,0.43108097,0.4446075,0.46654072,0.47985017,0.47462836,0.45465052,0.43263412,0.4174507,0.4066569,0.38808462,0.3524499,0.30422005,0.26562962,0.26299107,0.3063927,0.3776975,0.4426068,0.48041406,0.49926862,0.5246856,0.5679147,0.6138502,0.6361148,0.62334156,0.5881764,0.5523463,0.5298082,0.5204783,0.5185787,0.5188811,0.5192392,0.51796335,0.5148592,0.51038617,0.50641245,0.50350857,0.5014016,0.49907342,0.4960942,0.49353072,0.49218968,0.49267897,0.49370673,0.49601713,0.50046927,0.50770444,0.51236755,0.5073331,0.48758486,0.45642653,0.42158648,0.39070615,0.36669996,0.3486972,0.3340504,0.32108924,0.31099185,0.30792534,0.31674623,0.3383633,0.3674089,0.39407408,0.41052446,0.4159923,0.4162449,0.4173726,0.41867295,0.41320136,0.39757073,0.38332403,0.3936036,0.44234934,0.51439804,0.5715854,0.5811464,0.5406809,0.4737251,0.40892115,0.3612542,0.33203077,0.3171413,0.31623685,0.33731842,0.38727963,0.46270788,0.5380171,0.5853727,0.58916813,0.56383055,0.5331144,0.51691884,0.5166276,0.5248938,0.53300375,0.5379223,0.54217666,0.54883915,0.55726045,0.5602681,0.5502686,0.52579933,0.4951824,0.47020772,0.45813107,0.45670772,0.45898154,0.45915744,0.45727804,0.45569304,0.45584002,0.45476714,0.4472811,0.42827722,0.39674237,0.35828197,0.32566935,0.31568515,0.33877096,0.3908036,0.44956604,0.4893043,0.4946002,0.47113457,0.4348754,0.4012737,0.37464145,0.3527073,0.33027732,0.3054025,0.27795208,0.25073412,0.2265447,0.21004319,0.20544533,0.21666439,0.24186361,0.27347308,0.29976246,0.313092,0.31289378,0.30525097,0.29712227,0.29365182,0.2975802,0.31054774,0.33248982,0.36006185,0.3856691,0.40024364,0.39812902,0.38096428,0.3564849,0.33314785,0.31531748,0.30176198,0.28869236,0.27261433,0.25242823,0.22884274,0.2041653,0.18155615,0.16458322,0.15540667,0.15361488,0.15573041,0.15689583,0.15246077,0.1401634,0.12065801,0.09762398,0.07540119,0.05714877,0.043533698,0.03407613,0.028172849,0.025546024,0.025318438,0.025963897,0.025968006,0.02475526,0.022670023,0.020368895,0.018364213,0.016946355,0.016217416,0.015931474,0.01549049,0.0143313045,0.012405737,0.010286535,0.008633792,0.007710771,0.0072363685,0.0068241637,0.0062518283,0.005558932,0.004807946,0.004037545,0.0032854378,0.002673081,0.0023613656,0.002438362,0.0029060964,0.003758883,0.005105713,0.007132961,0.009944256,0.013396491,0.017099509,0.020549886,0.023279853,0.024900673,0.0250906,0.023699587,0.020980097,0.017854106,0.015986482,0.017974129,0.028021118,0.051751126,0.09435921,0.1556447,0.22758329,0.29574874,0.3472655,0.37640223,0.38606656,0.38306427,0.37384295,0.36230206,0.35003474,0.3371841,0.32336256,0.30823132,0.29213503,0.27579054,0.26205647,0.25490722,0.2584542,0.2714515,0.28778294,0.2990514,0.30126598,0.29574406,0.28689826,0.27826104,0.27107832,0.2650402,0.25965744,0.2551924,0.25257695,0.25249803,0.25462386,0.257583,0.25976956,0.26042235,0.25974175,0.25847086,0.25586626,0.24915169,0.23433012,0.21160094,0.18883742,0.1797502,0.19308476,0.22300203,0.25002733,0.25369376,0.22684942,0.17967427,0.13281977,0.10580483,0.10766391,0.13455106,0.17204331,0.20366633,0.21866678,0.21745123,0.209177,0.20421995,0.20791669,0.21820645,0.23044877,0.24045543,0.24729846,0.25100324,0.25203767,0.25029936,0.24624723,0.24114089,0.23684557,0.23447914,0.2327221,0.22725956,0.21245681,0.18593554,0.15264605,0.12511079,0.11614988,0.13022257,0.15952115,0.1907637,0.21529524,0.23382561,0.25191298,0.27142087,0.28792235,0.29430202,0.28748795,0.2703121,0.24853629,0.22658062,0.20513971,0.18267506,0.15870218,0.13803689,0.13162415,0.14905934,0.1885057,0.23311217,0.26296046,0.2696298,0.25920713,0.24228077,0.22272076,0.19920671,0.17029256,0.14025012,0.117443025,0.113564394,0.1393344,0.19611423,0.2703974,0.33568355,0.37073937,0.3697784,0.34522995,0.31243303,0.28230333,0.25764066,0.2383904,0.22337689,0.21116722,0.19996302,0.18810636,0.17514688,0.16180588,0.14961076,0.13981791,0.1331154,0.12944317,0.12832187,0.12874754,0.12954237,0.12941396,0.1275445,0.1238094,0.119242094,0.115587205,0.11425468,0.11496668,0.11560529,0.11387814,0.109313466,0.10398308,0.100477636,0.099532634,0.098988704,0.096068434,0.08990284,0.0821298,0.074199766,0.065694414,0.055306077,0.04443434,0.037090413,0.03791486,0.04776572,0.064269066,0.082996406,0.10291023,0.12761734,0.16375332,0.21069217,0.25686625,0.28360343,0.28173947,0.2560226,0.22158109,0.18917336,0.16290931,0.14130412,0.123186804,0.10756153,0.0938479,0.08170721,0.071490526,0.06365863,0.05805863,0.054338712,0.05323584,0.057456434,0.07028877,0.093449056,0.12529646,0.16207679,0.19993842,0.23705153,0.27355614,0.3088298,0.33932254,0.35782564,0.3592062,0.34340867,0.31733385,0.28927824,0.26688573,0.253988,0.2512882,0.2563468,0.26660427,0.2816598,0.30091718,0.32063437,0.33174026,0.3274075,0.30755275,0.28210247,0.26248255,0.25544086,0.25791976,0.2618724,0.26062822,0.2542383,0.24845026,0.24917734,0.25721732,0.26653263,0.26861382,0.2584534,0.23830807,0.21509056,0.19565861,0.18290617,0.17630482,0.17343335,0.17245942,0.17394863,0.18012713,0.19212109,0.20447381,0.2070415,0.19206621,0.16426127,0.14129107,0.1419285,0.17334314,0.2250209,0.27875122,0.31829187,0.3370261,0.33662167,0.32472613,0.31058085,0.29893008,0.28796926,0.2725235,0.25165603,0.22995543,0.21357398,0.20534353,0.20511685,0.21188356,0.22418368,0.23881872,0.25145224,0.26013264,0.26684144,0.27564672,0.2872566,0.2981569,0.30300334,0.30000713,0.291832,0.28382823,0.28053024,0.28336224,0.29055354,0.2981168,0.30331695,0.30583033,0.30752435,0.30829528,0.3048445,0.29191744,0.26818272,0.23927212,0.21721728,0.2128367,0.2290072,0.25776196,0.28560743,0.300849,0.29835415,0.2808467,0.2561067,0.23458494,0.22328995,0.22425054,0.23371805,0.24661762,0.25800827,0.26488802,0.26715368,0.26804474,0.27208313,0.28049684,0.29022714,0.2965641,0.29747838,0.2943633,0.28999254,0.2863319,0.28395036,0.2822994,0.2805471,0.2780293,0.27499273,0.27204677,0.2699331,0.269147,0.27007332,0.27213264,0.27308503,0.26991773,0.2618494,0.25200996,0.24568844,0.24644935,0.2544628,0.26766214,0.28351882,0.29920983,0.31172475,0.31866142,0.31967542,0.31633338,0.31113112,0.3061539,0.30270362,0.30124602,0.30166057,0.30352637,0.30640233,0.30999985,0.31379452,0.31694475,0.31811798,0.3164407,0.31193182,0.30605233,0.30079627,0.2976141,0.29619384,0.29431686,0.28911647,0.27882615,0.2643068,0.24839927,0.23456793,0.22492069,0.21997426,0.21860045,0.21930355,0.22107773,0.22442712,0.22979118,0.23536314,0.23621969,0.2283978,0.21350615,0.19921444,0.19325002,0.19787289,0.20953101,0.22303742,0.23482598,0.24343228,0.24992506,0.25662804,0.26555946,0.27422968,0.27760267,0.27126637,0.25647587,0.23821948,0.22199452,0.21024078,0.20237873,0.19646788,0.19094777,0.18548368,0.18046348,0.17585361,0.17037512,0.16167735,0.14819169,0.13082956,0.11328933,0.099527836,0.090994306,0.08549168,0.07944579,0.070800774,0.060944155,0.053316996,0.05115332,0.05510874,0.063418396,0.07298944,0.08119496,0.08633719,0.08743761,0.0838261,0.075444885,0.06352537,0.05051143,0.039306466,0.032056604,0.029742895,0.03182256,0.036218796,0.03981639,0.04017091,0.03793494,0.037068784,0.04310674,0.05887413,0.08283174,0.10912492,0.13162084,0.14653422,0.15406345,0.15637386,0.15576397,0.15327086,0.14941211,0.14491187,0.14093195,0.13821907,0.13652338,0.13494574,0.13257702,0.12886046,0.12325663,0.11570138,0.10751664,0.10117495,0.098740906,0.09926001,0.0996021,0.09639272,0.08918553,0.07999448,0.07177245,0.066309355,0.06382408,0.06390879,0.06638671,0.07226973,0.083109416,0.09989044,0.1209901,0.14199893,0.15764324,0.16491252,0.16416015,0.15742499,0.14586689,0.12974943,0.11004037,0.090181135,0.07452914,0.06655639,0.06740058,0.07684376,0.09346325,0.11439092,0.13509858,0.15114023,0.15984769,0.16086479,0.15500104,0.14397828,0.1305599,0.118054025,0.10850352,0.10211464,0.09940568,0.10346983,0.11832082,0.14463545,0.17726205,0.20904188,0.23528989,0.25590312,0.27186868,0.28312516,0.28847516,0.2882364,0.2847006,0.2808511,0.27799025,0.2753296,0.27062953,0.26204476,0.24900389,0.23331165,0.2184716,0.20846878,0.20490135,0.20601077,0.20714565,0.20361532,0.19257669,0.17402644,0.15023686,0.12489573,0.10193822,0.08422578,0.07263934,0.06606993,0.062792234,0.06206103,0.06477507,0.07179219,0.08222223,0.09326259,0.10279963,0.110835694,0.118576504,0.12618189,0.1325502,0.1365565,0.13749437,0.1339619,0.12383423,0.10638711,0.08490414,0.06631244,0.057711825,0.06248449,0.07901825,0.10228749,0.1266277,0.14771551,0.16348465,0.17393704,0.18030077,0.18421471,0.18676162,0.18871666,0.19009216,0.19110942,0.19162612,0.19207169,0.19236141,0.19254112,0.1920136,0.19078653,0.18952759,0.19035596,0.19540429,0.20483996,0.21501078,0.21976787,0.21464097,0.20039903,0.1831236,0.17036545,0.16721167,0.17388178,0.18646084,0.19907296,0.20743911,0.21039748,0.20970935,0.20750058,0.2049463,0.20209198,0.19898821,0.1969736,0.19867937,0.20735802,0.224397,0.24827106,0.27448437,0.2979243,0.31499684,0.32498452,0.32951462,0.33092058,0.33052,0.32785714,0.321138,0.30876744,0.29128698,0.27234495,0.25729266,0.24979722,0.24945867,0.25236467,0.25429258,0.253117,0.24917169,0.24346268,0.23642872,0.22771323,0.21757053,0.20755939,0.20020692,0.19699897,0.19707114,0.19728988,0.19379443,0.18368895,0.16617282,0.14360219,0.121111065,0.104908206,0.09851054,0.101672165,0.11091885,0.12260104,0.1324345,0.13625376,0.13068406,0.11682382,0.09966916,0.0853061,0.076640755,0.07309271,0.07222986,0.07203267,0.07233552,0.07551218,0.08572862,0.10553966,0.13287598,0.16073807,0.18178864,0.19251359,0.19477908,0.19273703,0.19008118,0.18860215,0.1892041,0.19262487,0.19955415,0.20982178,0.22200935,0.23379923,0.24298318,0.24799377,0.24821608,0.24405687,0.23752068,0.23131557,0.22797017,0.22800028,0.2308562,0.23454304,0.2367745,0.23420648,0.22492637,0.20943545,0.1913432,0.17452355,0.16120465,0.15134215,0.1441565,0.1397134,0.14001095,0.14879872,0.16900827,0.1990736,0.23138122,0.25603732,0.26768312,0.26848492,0.2657148,0.26508954,0.26850486,0.27424586,0.28091693,0.28829157,0.29755843,0.3087611,0.31907117,0.322759,0.31449595,0.29358017,0.26491687,0.23561502,0.21054024,0.19080739,0.17669915,0.17086178,0.17950584,0.2080236,0.25548342,0.3109025,0.35875368,0.3876218,0.39740884,0.39584115,0.39176968,0.38945556,0.38945922,0.39151812,0.39606395,0.404533,0.4163259,0.4276758,0.42982313,0.41482282,0.3800894,0.33311126,0.2855581,0.24759646,0.22219105,0.208562,0.20587783,0.2174775,0.24886222,0.3037354,0.37807846,0.45919648,0.53043133,0.58024114,0.60777956,0.62028074,0.6250252,0.62404007,0.61575675,0.60158896,0.58626825,0.5758295,0.56905574,0.5597696,0.53686553,0.49532846,0.43693087,0.37376228,0.31865177,0.28065103,0.26047572,0.25614217,0.26738608,0.29745054,0.3465713,0.40741363,0.46404943,0.5015439,0.51226133,0.49995437,0.4739457,0.44450006,0.41813183,0.39696375,0.38087276,0.37090507,0.37201914,0.3890692,0.4211686,0.45822015,0.4867866,0.49808884,0.4922334,0.47514865,0.45256135,0.4275758,0.40098903,0.3760014,0.3593494,0.36056447,0.38380286,0.42386422,0.4658215,0.49546766,0.5056073,0.49937657,0.4832324,0.46295872,0.4401983,0.41540658,0.38983774,0.367759,0.35454223,0.3528384,0.36021355,0.37051594,0.37933728,0.38588342,0.39204535,0.39777994,0.40070674,0.39773,0.38889566,0.3780569,0.37140468,0.37430844,0.38896307,0.41393593,0.44400808,0.4724069,0.4924724,0.5019273,0.5027831,0.5001176,0.4972957,0.49490735,0.49145865,0.48557195,0.47727144,0.4680917,0.46078005,0.4571048,0.45642066,0.45646572,0.45592391,0.45553818,0.4547815,0.44896653,0.43047753,0.39681926,0.3571334,0.33045408,0.3320568,0.36238018,0.40542862,0.44330576,0.46562263,0.4739728,0.47355196,0.47057626,0.46836737,0.46853232,0.47003725,0.47253647,0.47790265,0.48937035,0.50644463,0.52427167,0.5362978,0.54101735,0.54137146,0.5423735,0.544406,0.543902,0.5370595,0.52720815,0.5253539,0.54127264,0.57377505,0.6080621,0.62852985,0.6288124,0.6149185,0.5954106,0.5750024,0.55404335,0.5323885,0.51186293,0.49475598,0.48281598,0.4768028,0.4761833,0.4797028,0.48442414,0.48902774,0.49296427,0.49808368,0.5045456,0.512109,0.5191483,0.52585983,0.5332698,0.5426553,0.5520291,0.5559457,0.54815626,0.5271387,0.49849072,0.47166738,0.45368132,0.44445828,0.4378692,0.42616555,0.4056072,0.37921432,0.35643014,0.34805426,0.36036578,0.38969553,0.42467168,0.45218983,0.46663168,0.4710268,0.47312006,0.47582677,0.475227,0.4658923,0.452401,0.4510586,0.47666076,0.526128,0.57479763,0.5974421,0.58516264,0.552103,0.51629794,0.49003863,0.47297236,0.46321782,0.45988515,0.46893194,0.4953541,0.5387996,0.58535427,0.6155073,0.6152833,0.58751947,0.54756755,0.51159954,0.4878581,0.47620574,0.47380427,0.47803316,0.48741665,0.5000275,0.5122649,0.5197006,0.518387,0.508481,0.49285486,0.47670865,0.4628906,0.45206988,0.44081447,0.42573714,0.4059739,0.38764092,0.37996206,0.39011812,0.4154248,0.44526014,0.4664943,0.47302997,0.46767762,0.46024373,0.46126017,0.47558454,0.49759492,0.5143892,0.5195433,0.5235953,0.5451059,0.58812183,0.63162285,0.6481388,0.6292588,0.59221715,0.56164503,0.5496289,0.55255103,0.55891377,0.5605567,0.5552773,0.54804665,0.5457113,0.55251527,0.5656944,0.5787937,0.58717394,0.5911048,0.59300387,0.59303975,0.5897228,0.58230156,0.57464975,0.5724123,0.57790464,0.5846269,0.578954,0.5506534,0.5002443,0.4409498,0.38797453,0.35274243,0.33773825,0.3407121,0.35397005,0.36952576,0.3791094,0.38204768,0.38163087,0.3856249,0.39449552,0.40398464,0.40485057,0.39561808,0.3830004,0.38057753,0.39634886,0.42788437,0.46512964,0.50267553,0.5435453,0.5922148,0.64082074,0.67292976,0.6753476,0.65281504,0.6188426,0.58453846,0.5483148,0.50490385,0.45540118,0.41331306,0.4004641,0.43098772,0.5010034,0.5810291,0.63826466,0.6523827,0.6334023,0.60241985,0.57961726,0.56867856,0.56608325,0.5654209,0.5645847,0.56519574,0.56928736,0.575891,0.5785766,0.5733258,0.56153536,0.55131286,0.5481238,0.5523053,0.55911595,0.5642921,0.56590873,0.5636487,0.5576996,0.54773027,0.5349002,0.52010155,0.5044356,0.48718736,0.47081712,0.46045968,0.46436837,0.48405635,0.51327926,0.5370557,0.5460785,0.5435467,0.54662925,0.57036453,0.6119445,0.65370035,0.6766605,0.67978555,0.6718433,0.6632461,0.65326667,0.63798696,0.6142175,0.58507365,0.5566698,0.53695107,0.5307773,0.53806573,0.5521652,0.5657726,0.5746142,0.57942396,0.5813034,0.5799926,0.57476735,0.5680962,0.565528,0.5722458,0.5872881,0.6023093,0.6042249,0.58403206,0.5414903,0.48770997,0.43941733,0.41278008,0.41529456,0.4413623,0.4756702,0.4997221,0.50432503,0.491137,0.47300422,0.46187952,0.46356156,0.4738196,0.48456022,0.49027297,0.49113265,0.49209595,0.49677083,0.5062959,0.5195289,0.5405771,0.5743328,0.6211149,0.66392356,0.68045336,0.6552275,0.5965498,0.52472514,0.4611856,0.4154557,0.389575,0.38258275,0.3964099,0.43708578,0.50605136,0.59324235,0.66985273,0.70923215,0.6995638,0.6582045,0.60926306,0.5720381,0.5475485,0.530942,0.5179086,0.5114612,0.5175769,0.5381355,0.5664439,0.5892406,0.59711176,0.5894601,0.57243687,0.55139923,0.52844745,0.50649726,0.48993143,0.48448893,0.490387,0.5042977,0.51720136,0.5211584,0.50901324,0.48204112,0.4475111,0.4204103,0.41265067,0.43133792,0.46906582,0.5118769,0.53944474,0.5433677,0.52594745,0.50481063,0.49249804,0.492118,0.49190643,0.481349,0.45755088,0.42740214,0.39850643,0.3739058,0.3522917,0.33085373,0.3078328,0.28216934,0.25336584,0.22165501,0.18853843,0.15719338,0.13086587,0.111229844,0.09740519,0.086946666,0.07791517,0.06961899,0.06306254,0.05953489,0.05952673,0.061608274,0.0629709,0.061638836,0.057481393,0.05232485,0.047790587,0.044797283,0.04327408,0.042873595,0.042923953,0.04258494,0.041430715,0.03986441,0.038965963]