[0.0005802584,0.00059653976,0.00091705314,0.0030384304,0.0105710365,0.028847968,0.061001267,0.10412698,0.1481571,0.18195665,0.19928373,0.20192544,0.19557305,0.18583065,0.17567809,0.16649218,0.1589164,0.15341431,0.14999795,0.14803328,0.14626847,0.14350075,0.1396593,0.13634948,0.13639094,0.14180958,0.15233484,0.16457544,0.17384486,0.17610787,0.1701871,0.1576976,0.14231174,0.12924612,0.124786474,0.13595195,0.16488016,0.20593357,0.2442538,0.26671305,0.26888368,0.25883645,0.24694012,0.23837854,0.22998804,0.2162217,0.19467397,0.16737841,0.1387118,0.112401165,0.09103444,0.075712465,0.0671072,0.06602273,0.07348638,0.088798515,0.1074722,0.12250664,0.12837566,0.12484243,0.11598104,0.10674261,0.0997015,0.09503006,0.09182943,0.08924478,0.08667925,0.0834069,0.07889939,0.07291797,0.06615386,0.059735447,0.055101488,0.05277432,0.05283585,0.056436274,0.06909969,0.10023501,0.15563054,0.22878408,0.2990478,0.34585068,0.36220613,0.3607256,0.3591863,0.36781856,0.38134837,0.3893802,0.38539448,0.37390676,0.363299,0.3591505,0.35881677,0.35552168,0.3436893,0.3224112,0.29519176,0.2664797,0.23989399,0.21623123,0.19543813,0.17837341,0.16820224,0.16750765,0.17420341,0.1811679,0.18072085,0.17023826,0.1527792,0.13395311,0.11873633,0.111248195,0.11475637,0.1299681,0.15272456,0.17559664,0.19326776,0.2066857,0.22033288,0.23551853,0.24722874,0.24941166,0.24202116,0.23287594,0.23034073,0.23635012,0.24485143,0.25040436,0.2558408,0.27300397,0.31109086,0.36554253,0.41706452,0.4450558,0.44126344,0.41295215,0.37394884,0.33520985,0.30283782,0.28204283,0.28044415,0.30344164,0.34794244,0.39835632,0.4352744,0.445228,0.42833364,0.3931888,0.35071948,0.30834755,0.27093592,0.2420638,0.22568361,0.22405076,0.23520553,0.2509975,0.2608364,0.25706863,0.23942882,0.2131355,0.18666428,0.17086934,0.1814667,0.23322213,0.3281496,0.44358134,0.54050773,0.58565617,0.57272136,0.5209212,0.45767665,0.40164688,0.3590635,0.32973668,0.31211165,0.3042014,0.302399,0.30298162,0.30493903,0.31018576,0.32060257,0.33317783,0.3404709,0.33384398,0.31050894,0.27501345,0.23754494,0.20714343,0.18864585,0.1828313,0.18944703,0.20712972,0.23171563,0.25564218,0.27171966,0.27681056,0.27284613,0.26374143,0.25286952,0.24214391,0.23255318,0.22427906,0.21653235,0.20821969,0.19948876,0.19313782,0.19392683,0.20552604,0.2277075,0.25674322,0.2892319,0.32363713,0.35834447,0.38722435,0.4017711,0.39582875,0.37148014,0.3365458,0.3006644,0.27007976,0.2476675,0.23391163,0.2291453,0.23395379,0.24725513,0.26453936,0.27788928,0.2808394,0.27202916,0.25582746,0.23791768,0.2213034,0.20619042,0.19203354,0.18088652,0.1751858,0.17588098,0.17863433,0.17783713,0.16987531,0.15716249,0.14455494,0.13608408,0.13233203,0.13228415,0.13504256,0.14003544,0.14588681,0.15006997,0.15140866,0.15250146,0.15958555,0.17762248,0.20582356,0.237081,0.26288262,0.27776965,0.28080103,0.2738592,0.25990853,0.24244381,0.22444688,0.20805185,0.1939907,0.18286896,0.17630929,0.17700839,0.18758118,0.20659941,0.22838533,0.24345188,0.24591053,0.2348575,0.21614034,0.19562013,0.17799485,0.16416885,0.15549232,0.1553813,0.1718625,0.21211612,0.27544317,0.34650794,0.40206817,0.4234085,0.4088528,0.3707013,0.32597157,0.28516552,0.25223714,0.22666018,0.20883577,0.19852151,0.19495459,0.19472884,0.19636445,0.2027209,0.22134423,0.25647393,0.3023108,0.3434603,0.36501524,0.36197495,0.34056607,0.31116083,0.2824643,0.2601907,0.25049075,0.2577813,0.2812241,0.30983487,0.3293711,0.3301438,0.31372416,0.28765842,0.25882202,0.22998317,0.20172465,0.17546944,0.15225041,0.1318968,0.11294822,0.09767386,0.09480115,0.117047824,0.1694219,0.24047983,0.30403432,0.33626935,0.3296813,0.2957817,0.2521879,0.21204858,0.18057227,0.15995453,0.1523443,0.1583067,0.17359662,0.18889284,0.19631183,0.19519983,0.19434907,0.20308714,0.22357452,0.24625199,0.25892222,0.25461915,0.23693228,0.2139194,0.19281308,0.17665964,0.16656739,0.16336536,0.16709362,0.17564738,0.18397059,0.18677813,0.18054287,0.16599579,0.14657757,0.12714419,0.11092345,0.09948218,0.09306705,0.09159884,0.09402003,0.0978497,0.100934334,0.10366511,0.10927874,0.11992297,0.13352215,0.14409421,0.14683683,0.14134218,0.1314809,0.12146542,0.11375249,0.1087256,0.10614457,0.10569497,0.10692189,0.108950324,0.11073346,0.1127151,0.118461944,0.13473786,0.1666554,0.21198201,0.25927642,0.29462525,0.31096053,0.31132194,0.30460593,0.2976746,0.29333675,0.290586,0.28743866,0.28119493,0.2703657,0.2562307,0.24293518,0.23508264,0.23374976,0.23635249,0.23831372,0.23743404,0.23376463,0.22957504,0.22632098,0.22562979,0.22791745,0.23365577,0.24166588,0.2500937,0.2558241,0.25696805,0.25399178,0.2510296,0.25160053,0.25577214,0.2574601,0.2502304,0.23061503,0.20222346,0.17161743,0.14584644,0.12834437,0.119439304,0.11669394,0.11674103,0.116222225,0.11297811,0.1069076,0.10073521,0.100039415,0.111208536,0.13698056,0.17237121,0.20583467,0.22625716,0.23021095,0.22251524,0.21095467,0.20034797,0.19148214,0.183007,0.1738367,0.16393703,0.15423207,0.14695819,0.14583789,0.15605812,0.18146189,0.2212605,0.26744074,0.30798897,0.33144358,0.33204165,0.30956668,0.27074757,0.22801775,0.19747137,0.18940842,0.2027664,0.2265157,0.25130066,0.27557817,0.30276456,0.33089468,0.35042775,0.35101116,0.33132848,0.29951334,0.26615715,0.23639935,0.20996036,0.18518586,0.16393657,0.15011787,0.14642566,0.15009756,0.1566876,0.1659152,0.1870171,0.23063827,0.29702806,0.36833242,0.41927174,0.43368983,0.4142736,0.37627074,0.3346727,0.2981107,0.27022114,0.25518337,0.25627294,0.27285388,0.2962329,0.3142755,0.31717467,0.3032741,0.2772495,0.24633569,0.21630271,0.19094972,0.17327271,0.16628246,0.17173915,0.1872844,0.20532082,0.21614343,0.21330756,0.19721533,0.17327422,0.14825003,0.1277174,0.11730888,0.123085834,0.14796145,0.18695676,0.22625075,0.2514055,0.25493482,0.23997979,0.21467029,0.18755688,0.16489,0.1518799,0.15233983,0.16701014,0.19098891,0.21548767,0.23382549,0.24967293,0.27627447,0.3252499,0.39202008,0.45454216,0.48848954,0.48476383,0.45347777,0.41215125,0.3727304,0.33812585,0.30759797,0.283016,0.268442,0.26607332,0.2715175,0.27584687,0.27012062,0.2500615,0.21623857,0.1736337,0.13209885,0.105175555,0.104695976,0.13212056,0.1755936,0.2158938,0.23815618,0.23910241,0.2251503,0.20554031,0.18657792,0.17133576,0.16078772,0.15587144,0.15705685,0.16476147,0.17844485,0.19777101,0.2228991,0.2545853,0.29220477,0.3313609,0.36510885,0.38615337,0.3914572,0.38240406,0.3651701,0.3474854,0.3352921,0.3292946,0.32498458,0.3171847,0.30425164,0.28900674,0.27565575,0.26646653,0.26156816,0.25957653,0.25888672,0.25717404,0.25231838,0.24389194,0.2340691,0.22671884,0.22392678,0.22464441,0.22493583,0.22203083,0.21649009,0.21219297,0.21227439,0.21605124,0.21908946,0.2171364,0.2092477,0.1977853,0.18542723,0.1734186,0.16182609,0.1511429,0.14240764,0.13627844,0.1320947,0.1285693,0.12580006,0.12633024,0.1336093,0.14801379,0.16487278,0.17680621,0.17918827,0.17329009,0.16430593,0.15698253,0.15259856,0.14985944,0.14663391,0.14174347,0.13536349,0.12941863,0.12708509,0.13157128,0.14467508,0.16578645,0.19103213,0.21327882,0.2235313,0.21627508,0.1936479,0.16679041,0.14863063,0.14693141,0.15947194,0.17911015,0.20012091,0.22323984,0.25192955,0.28551933,0.315441,0.32960328,0.3217959,0.29551813,0.26137993,0.22867428,0.20229132,0.1820417,0.16737348,0.15806383,0.15519123,0.15819485,0.16596806,0.17750432,0.19261555,0.20907688,0.22113532,0.22288238,0.21319263,0.1972998,0.18213403,0.17146462,0.16475914,0.159788,0.15576005,0.15399103,0.15648109,0.16326125,0.17173779,0.17873496,0.18369763,0.18864787,0.19525218,0.20162036,0.2042731,0.20277922,0.20370404,0.2179581,0.25244823,0.30213997,0.35013422,0.37922144,0.3843247,0.3748071,0.36360708,0.3555057,0.3465387,0.33173856,0.3116708,0.290435,0.27120063,0.25491396,0.24249107,0.23622017,0.2371995,0.24308288,0.24806547,0.24708343,0.23849821,0.22456856,0.2084071,0.19294123,0.18322678,0.1906433,0.23226964,0.3181671,0.43627605,0.54745936,0.6052792,0.58416647,0.49529815,0.37665,0.26777402,0.19341873,0.160347,0.16637744,0.2017396,0.249753,0.28769994,0.29961255,0.28431603,0.25457034,0.22344072,0.1959306,0.1698838,0.14468604,0.12663077,0.12558098,0.14694051,0.18453489,0.2235002,0.24871857,0.2540458,0.2432031,0.22502893,0.20718497,0.19313091,0.1824721,0.1730146,0.16307744,0.15353553,0.14838494,0.1545003,0.17736971,0.2169979,0.2644538,0.3081433,0.34151968,0.3685744,0.3952113,0.42099038,0.4364684,0.4359038,0.42289987,0.40936765,0.40032366,0.39101946,0.36981952,0.33345768,0.29303017,0.27120712,0.28579208,0.33524954,0.39779115,0.44752255,0.47187552,0.47579777,0.47044238,0.461591,0.44757155,0.42609012,0.3998522,0.37585285,0.36030474,0.35515013,0.3574083,0.3618966,0.36267534,0.35616574,0.34143063,0.32178617,0.30181137,0.2859228,0.2756128,0.27005827,0.26689854,0.26308537,0.25708634,0.2491196,0.24319409,0.24335968,0.2527684,0.2691554,0.28741103,0.30008885,0.30325451,0.296388,0.28310362,0.26681653,0.2500996,0.23387545,0.21889351,0.20670874,0.20023872,0.20273544,0.21437074,0.23002593,0.2417595,0.24418342,0.23834376,0.22843905,0.21734704,0.20397441,0.18700548,0.16860412,0.15521769,0.15407552,0.16918404,0.20095557,0.24846287,0.3104631,0.38203862,0.45014068,0.4968499,0.5095132,0.49011683,0.45350638,0.4174933,0.39431962,0.3877779,0.39434883,0.40597412,0.41344428,0.4119338,0.4012587,0.3862367,0.37216616,0.36391154,0.36246893,0.3655876,0.37022236,0.3747467,0.3791089,0.3813658,0.3790411,0.37058905,0.3576428,0.34297612,0.32944068,0.3197281,0.31584585,0.3179995,0.32381472,0.32972714,0.3321904,0.32830918,0.31644413,0.29633856,0.26996782,0.24104466,0.21640432,0.20308936,0.20630218,0.22607775,0.2614762,0.31100175,0.3705124,0.42664623,0.4608337,0.46046785,0.42842272,0.3795135,0.32901216,0.28499213,0.24865119,0.21878286,0.19423312,0.17421721,0.15777342,0.14362061,0.13021518,0.11643419,0.102253966,0.0889127,0.07847751,0.074770875,0.08511784,0.11972919,0.1834232,0.2660459,0.34041333,0.37713918,0.36323085,0.3108546,0.24629463,0.19213323,0.15751533,0.14314352,0.15119524,0.18629323,0.24567278,0.31177032,0.35843587,0.3689086,0.34551203,0.30543897,0.2646713,0.23030144,0.2016943,0.17950542,0.16801389,0.17131542,0.18658413,0.20397025,0.2130874,0.20998073,0.19787234,0.18292435,0.16952004,0.15963866,0.15355808,0.1515645,0.1539829,0.16173191,0.1757921,0.19663589,0.22348635,0.2544048,0.28614852,0.3146617,0.33576715,0.3481358,0.35374603,0.35700193,0.36108765,0.36712134,0.37419903,0.3812461,0.38807854,0.39608037,0.40645972,0.41769767,0.42441297,0.41911662,0.3954673,0.352878,0.29983583,0.2541556,0.23243773,0.24033172,0.26693058,0.29620624,0.31557143,0.32294706,0.32140347,0.31784073,0.3174764,0.32258645,0.32864282,0.3293873,0.32062665,0.3053079,0.28845212,0.27491996,0.26496562,0.25904676,0.25719818,0.26172328,0.27104414,0.2807479,0.28311226,0.27573618,0.26442444,0.26307383,0.28314003,0.32347712,0.36805388,0.39592206,0.39604113,0.37188712,0.3364587,0.3013579,0.273832,0.25501648,0.2433027,0.23415895,0.2256856,0.2181064,0.21514694,0.21814473,0.22664972,0.23545404,0.23835552,0.22893362,0.20737348,0.18188608,0.16765584,0.17685778,0.2106334,0.25681087,0.29928443,0.32903004,0.34905973,0.36740747,0.38820088,0.40710735,0.417025,0.4135238,0.39930752,0.38054204,0.36384526,0.35136306,0.34148598,0.33113125,0.31950724,0.30876055,0.30073142,0.29575622,0.29257014,0.29279634,0.2988814,0.31234273,0.32880914,0.34223613,0.34788632,0.34612283,0.33829114,0.32538056,0.3074093,0.28766158,0.27147397,0.26378372,0.26339173,0.2647579,0.26167157,0.25388417,0.2462851,0.24475896,0.24966913,0.25520578,0.25342152,0.24071842,0.22075085,0.20285971,0.19572906,0.20249069,0.2193563,0.24169032,0.26807943,0.3002746,0.33609352,0.36731517,0.38327563,0.37870744,0.35634005,0.32441387,0.29191718,0.26525846,0.24706005,0.2370521,0.23352729,0.23417194,0.23473714,0.22986096,0.21554339,0.19287159,0.16699886,0.14375965,0.12681952,0.12077897,0.13549654,0.18570161,0.2770648,0.39237824,0.48978433,0.52790946,0.49277055,0.4079536,0.31365857,0.24041037,0.1983559,0.1874975,0.21053088,0.26857498,0.34945747,0.42260957,0.457911,0.444204,0.39614835,0.33707762,0.2840965,0.24225903,0.2127593,0.19853644,0.20341212,0.22520284,0.2532909,0.27330804,0.27679333,0.26508108,0.24645166,0.22843148,0.21406282,0.20216028,0.19040836,0.17757808,0.16420065,0.15198039,0.14318009,0.14012633,0.14549597,0.16001274,0.18100183,0.20111541,0.21320535,0.21421783,0.20755261,0.19907884,0.19309545,0.19023786,0.18886872,0.18774663,0.18684083,0.18655457,0.18602198,0.18341453,0.17826134,0.1722737,0.16913223,0.17070656,0.17692554,0.18406641,0.18789421,0.18411243,0.17250843,0.15694107,0.14522468,0.14480485,0.15910862,0.18455999,0.21180242,0.23040543,0.235114,0.2290378,0.22152354,0.22185339,0.23189749,0.24459134,0.24796845,0.23503868,0.20716576,0.17293864,0.14173062,0.12290471,0.12666963,0.16170855,0.2273844,0.30724242,0.37541965,0.41122591,0.41038612,0.38295686,0.34295225,0.30137634,0.26531965,0.24034633,0.23042367,0.23543267,0.24971032,0.2641097,0.27275643,0.27809918,0.28802797,0.30663896,0.32678923,0.33580485,0.32728815,0.3081847,0.29152513,0.28330907,0.27965465,0.2748222,0.27277032,0.28324184,0.3108282,0.3451405,0.3686726,0.36941302,0.34971717,0.3206077,0.29311454,0.2723695,0.25888285,0.25099736,0.2464385,0.24282265,0.23817617,0.23206943,0.22621115,0.22459818,0.23178943,0.2496913,0.2747387,0.29815736,0.3107617,0.30792674,0.29152617,0.2666793,0.23794925,0.20846869,0.18167774,0.16227843,0.15314424,0.1523238,0.15393575,0.1532625,0.15113121,0.15113507,0.1554774,0.16088063,0.16363347,0.16284913,0.16400091,0.17283742,0.19117935,0.21309389,0.22973509,0.23477982,0.22852798,0.21606909,0.2028585,0.19171579,0.18261926,0.17478512,0.16785185,0.16209193,0.15768132,0.15477975,0.15367143,0.15552445,0.16215526,0.17477413,0.19175225,0.20751144,0.2171271,0.22174966,0.23196836,0.2587283,0.30359426,0.35296977,0.38883427,0.40012053,0.38928282,0.36493266,0.3351057,0.30366287,0.27355525,0.2482047,0.2317447,0.22705711,0.23292129,0.24346094,0.24974467,0.24796112,0.24160065,0.24001968,0.24810754,0.2634515,0.2777466,0.28437516,0.28122756,0.27022848,0.25518528,0.24082641,0.23283692,0.23441575,0.24370427,0.25233257,0.2521957,0.2399215,0.2196666,0.19719921,0.17719418,0.16229235,0.15716134,0.16806793,0.19868277,0.24414408,0.2927642,0.33310553,0.36152574,0.38037276,0.393716,0.40331116,0.40991867,0.41380808,0.41418204,0.41013646,0.40107918,0.3895446,0.37846306,0.3708959,0.3665975,0.36432672,0.36257496,0.3618677,0.36269927,0.36386752,0.36266562,0.35721588,0.34872186,0.3389708,0.32841626,0.3146791,0.29682755,0.27769604,0.26338732,0.25778174,0.25884187,0.26113045,0.26058558,0.25713992,0.2511675,0.24169676,0.22732331,0.20918752,0.19024938,0.1726694,0.15675934,0.14204107,0.1290642,0.119127594,0.1131038,0.110288,0.10819153,0.10463842,0.09922532,0.09475988,0.095046274,0.10223603,0.11419638,0.12546493,0.13119888,0.1305051,0.12657113,0.12299493,0.12111911,0.11985146,0.11771659,0.11405433,0.10897878,0.10251942,0.09446486,0.084911585,0.07522565,0.06817067,0.066249065,0.06998093,0.076946326,0.08401363,0.089196086,0.093284346,0.098503225,0.10746148,0.1217378,0.14184766,0.16707511,0.19491297,0.22051917,0.23693757,0.23858398,0.22427171,0.19934732,0.17222397,0.15091966,0.13902533,0.13650739,0.1409625,0.14989154,0.16012426,0.16748184,0.16816932,0.16241008,0.15641654,0.15820022,0.17077945,0.18822421,0.20089836,0.20297247,0.19636822,0.18660332,0.17771061,0.17178981,0.17155944,0.18260615,0.20711468,0.24035537,0.26839018,0.2798433,0.27168894,0.25256804,0.23193108,0.21498533,0.20166588,0.19357967,0.19673485,0.21733864,0.25478768,0.29778597,0.33102977,0.34334362,0.33406875,0.30953774,0.27840427,0.24715947,0.22132468,0.20688184,0.21103847,0.23652177,0.27724418,0.3167843,0.3391286,0.33657584,0.31430995,0.2821427,0.24905574,0.21978255,0.19832523,0.1898122,0.19918646,0.22629304,0.26232514,0.29415217,0.31376728,0.32603896,0.34346166,0.37522802,0.4155353,0.44896117,0.45881626,0.441552,0.40355697,0.35800144,0.31526414,0.28486547,0.27582133,0.2938632,0.33436766,0.3775778,0.39872643,0.3815527,0.33010694,0.26284155,0.20110595,0.15766779,0.13631745,0.13575077,0.15196793,0.17768233,0.20171525,0.21471934,0.21366565,0.20332114,0.1901003,0.17760761,0.16633803,0.15706857,0.153244,0.15812534,0.17239976,0.19340062,0.21891452,0.24838309,0.28061077,0.31147453,0.33426106,0.34489426,0.34307516,0.33293584,0.31901506,0.30567375,0.2948242,0.28693414,0.28085968,0.27536878,0.26905656,0.26077002,0.24995442,0.2372591,0.22450703,0.21355586,0.20574635,0.20124297,0.19948018,0.19840704,0.19584799,0.19031896,0.1832609,0.17733973,0.1744123,0.1732079,0.17094027,0.16621836,0.1601801,0.15532118,0.15258066,0.15095182,0.14793475,0.14165907,0.13176872,0.119607545,0.10739806,0.097535044,0.092681445,0.0951524,0.10515708,0.11925074,0.13146083,0.13778168,0.13889599,0.13954061,0.14328279,0.14999728,0.15604784,0.15851845,0.15672813,0.15208775,0.14578892,0.13830328,0.1299447,0.121531904,0.11470958,0.11078578,0.11004756,0.11062201,0.10960127,0.10513001,0.0984407,0.093838,0.09507611,0.10284924,0.11321807,0.121807985,0.12627101,0.12868214,0.13237502,0.13999353,0.15117218,0.16370338,0.17518544,0.18499957,0.1940412,0.20216356,0.20668204,0.20357656,0.19200833,0.17587589,0.16230662,0.15636791,0.15878804,0.1658073,0.1727648,0.17612372,0.17487402,0.16952048,0.16268793,0.1596927,0.1686086,0.1953466,0.23774211,0.28337416,0.31648484,0.3274038,0.31730878,0.29418993,0.26654303,0.23963338,0.2162268,0.19791996,0.18571454,0.17914598,0.17566001,0.17218184,0.1683057,0.16961603,0.18483776,0.21844594,0.2630572,0.30178323,0.31911287,0.31136617,0.2871134,0.2585329,0.23368697,0.2152394,0.20447056,0.20384865,0.21486735,0.23449115,0.25416097,0.26530683,0.26436552,0.25462225,0.2413954,0.2280996,0.21474116,0.20028792,0.18462794,0.1693191,0.1564203,0.1470492,0.14055209,0.13530612,0.13037074,0.12603353,0.12322936,0.12384951,0.13355504,0.16408642,0.22563088,0.31404224,0.40137497,0.44997215,0.43639457,0.36992648,0.2829548,0.20849769,0.16376834,0.15328898,0.17953031,0.24298604,0.33220616,0.4182016,0.46801832,0.46616483,0.42339587,0.36508095,0.3110424,0.26745614,0.2318281,0.20424402,0.19111334,0.19869465,0.22499032,0.2564589,0.27814984,0.28204536,0.27166793,0.25452003,0.23691969,0.22094674,0.20679832,0.19374226,0.18081395,0.16708176,0.15253414,0.13813394,0.12684795,0.12413175,0.1396225,0.18097709,0.2484418,0.32792357,0.40092233,0.45335293,0.4857931,0.50508994,0.5182566,0.5266822,0.53219527,0.53878796,0.5496382,0.55941325,0.5524873,0.513493,0.4416982,0.35954213,0.30104598,0.29022577,0.32319996,0.37083355,0.39918494,0.39200446,0.36064997,0.33445892,0.34044,0.38725528,0.46202698,0.54131407,0.60141397,0.6264083,0.61048436,0.56134784,0.49871996,0.44461605,0.41072094,0.392135,0.37628797,0.35462907,0.32846057,0.30253926,0.27802587,0.2516398,0.22167508,0.19339861,0.17756446,0.18315296,0.20935875,0.24441111,0.27183285,0.28079787,0.27043378,0.24864191,0.22448575,0.20589863,0.19598772,0.1955126,0.20005697,0.20506059,0.20584214,0.20315234,0.19904386,0.19720751,0.19881625,0.20509517,0.21550709,0.22770698,0.23661661,0.23736928,0.22922379,0.21536513,0.20049994,0.18751182,0.17934681,0.18038405,0.1950769,0.22272933,0.25499418,0.2799156,0.28909743,0.28233925,0.26566824,0.2463888,0.2289937,0.21531726,0.2062126,0.20298684,0.2054985,0.21123742,0.21617569,0.21932346,0.22478408,0.23799968,0.25958169,0.28149173,0.29325044,0.28842744,0.26991674,0.24566446,0.2241622,0.20944804,0.20102973,0.19501202,0.18738186,0.17584912,0.16109031,0.14558117,0.13276939,0.12572603,0.12561733,0.13108471,0.13743033,0.14044511,0.13761841,0.13159837,0.12650268,0.1269164,0.13374399,0.14661457,0.16508056,0.19065177,0.22340767,0.25872818,0.2877432,0.30184498,0.29814467,0.27918288,0.25136325,0.22072919,0.1923074,0.16855891,0.15124296,0.14142655,0.13963662,0.14362077,0.14865808,0.14985354,0.14508522,0.13546707,0.12412947,0.11775943,0.12832431,0.17067446,0.24869762,0.3445312,0.4206843,0.44470814,0.40993202,0.33959424,0.26608676,0.21169074,0.18296127,0.1808395,0.20844793,0.26608106,0.34113798,0.40685692,0.4381486,0.4273603,0.38769874,0.33888695,0.2936674,0.25423938,0.21994919,0.19421558,0.18276004,0.1872353,0.20053273,0.21222007,0.21556139,0.21157993,0.2044713,0.19700529,0.18910395,0.1804351,0.17189425,0.16484904,0.15972878,0.15579478,0.1522695,0.14931293,0.14863431,0.15293296,0.16407464,0.18090582,0.19832951,0.21052438,0.21486181,0.21457459,0.21585117,0.22344036,0.23719203,0.25262845,0.2645005,0.2694293,0.26707444,0.25817588,0.24534768,0.23388226,0.23150657,0.2421666,0.2610474,0.2784778,0.29080188,0.3067881,0.33835217,0.387004,0.43851426,0.47473505,0.48585668,0.47449753,0.44814405,0.41494155,0.38318887,0.3623556,0.3568813,0.36086354,0.36078587,0.34739435,0.3249365,0.30720672,0.30535147,0.31780073,0.33255255,0.33620372,0.32306477,0.2971718,0.26866597,0.24669717,0.23528785,0.23273145,0.23670264,0.24568748,0.25934246,0.27374855,0.28301308,0.2813586,0.2687146,0.24979365,0.23240834,0.22187316,0.21986909,0.2230072,0.22668558,0.22678085,0.22250563,0.21533783,0.20801257,0.203142,0.2013749,0.20099954,0.19747837,0.18854652,0.17673819,0.17043333,0.175175,0.18927604,0.20342527,0.21163751,0.21582921,0.22466277,0.24196625,0.26257163,0.27472582,0.27125204,0.25463325,0.23483567,0.22069883,0.21425648,0.21241893,0.21173526,0.21245372,0.2154898,0.22011404,0.22244625,0.22093646,0.21788734,0.21865956,0.22515301,0.23383819,0.23811527,0.23374684,0.22206901,0.20760693,0.19481237,0.18459435,0.17589605,0.16745605,0.16046023,0.15731628,0.1592312,0.1647488,0.17057003,0.17547186,0.17848386,0.17905943,0.17329401,0.16074932,0.14401767,0.13164611,0.12939496,0.13929208,0.15744565,0.18065184,0.20974793,0.24844055,0.29689613,0.34488,0.37691793,0.38136137,0.3600259,0.32426938,0.2871786,0.2557098,0.23114975,0.21220715,0.19872588,0.19096732,0.18833618,0.1873519,0.1841046,0.1762682,0.16498409,0.15275584,0.14194582,0.13584302,0.14244132,0.1763831,0.25078216,0.3634632,0.48619905,0.575211,0.5944044,0.5394029,0.43677273,0.32665566,0.23850715,0.18467946,0.16579984,0.18086307,0.22421956,0.28109813,0.32738483,0.3449123,0.32975367,0.2934204,0.24908026,0.20740296,0.17479758,0.1592428,0.16569714,0.19219565,0.22576122,0.25106072,0.2591096,0.2529458,0.24113584,0.23053634,0.22214146,0.21370064,0.20305566,0.18970448,0.17479439,0.16021621,0.1483351,0.14108062,0.13973656,0.14393331,0.15198648,0.16160162,0.17181475,0.18310465,0.19491638,0.20409362,0.2053536,0.19676225,0.1807527,0.16337383,0.14903198,0.1393161,0.13318548,0.12855048,0.12371082,0.11775436,0.11128078,0.10534618,0.10078094,0.097416304,0.09432409,0.090603404,0.08609503,0.08143074,0.07741591,0.07462863,0.073898494,0.07623459,0.08190205,0.08922202,0.09516046,0.097293295,0.09519415,0.09060735,0.08605709,0.083887696,0.08465586,0.08707105,0.08829284,0.085927956,0.0798229,0.07372194,0.075159766,0.09175707,0.12518542,0.16742907,0.20440297,0.225067,0.22733438,0.21703424,0.20114177,0.18424398,0.16871814,0.15829492,0.15862122,0.17482686,0.20608066,0.24465173,0.28025377,0.3093971,0.33643305,0.36738744,0.3987594,0.41941187,0.4209435,0.40975463,0.40181252,0.4076828,0.42140234,0.4287106,0.42390466,0.41610095,0.41766855,0.42904827,0.4377706,0.43115065,0.40695968,0.37323418,0.33933342,0.31093016,0.28939888,0.2746807,0.26531947,0.25817344,0.24905564,0.23609464,0.22227222,0.21564639,0.22418207,0.25131592,0.29064235,0.329919,0.35461012,0.3583758,0.34245408,0.31554824,0.28432643,0.25370702,0.22599886,0.2053927,0.19393653,0.19048305,0.18956174,0.18835138,0.18833457,0.1938632,0.20534104,0.21788001,0.225405,0.22526167,0.22009027,0.21304935,0.20561899,0.19588871,0.18349601,0.17180265,0.16858529,0.17924254,0.20202826,0.22664648,0.24165447,0.24083698,0.22691159,0.20715088,0.18866521,0.1744711,0.16437206,0.15698516,0.15126891,0.14655797,0.14178258,0.13606924,0.13001586,0.12687677,0.13143592,0.1463331,0.1689037,0.19121236,0.20501728,0.20645685,0.19756769,0.18282944,0.16647337,0.15191412,0.14394279,0.1485015,0.16913974,0.202443,0.23698962,0.26123735,0.27134416,0.27539185,0.28325358,0.29819193,0.3130571,0.31961977,0.31579185,0.3063469,0.29728523,0.2909981,0.28853062,0.29257286,0.30883738,0.3398086,0.38006297,0.41659996,0.4380875,0.44125572,0.43050563,0.41091716,0.384431,0.3517443,0.31543317,0.28084746,0.25324687,0.23511274,0.22554787,0.2239142,0.23546799,0.27262047,0.34341526,0.43858552,0.5270564,0.57725805,0.57701063,0.5418983,0.49598432,0.4548895,0.42170104,0.39783192,0.39143002,0.40934038,0.4476066,0.48625138,0.50539225,0.49669424,0.46840206,0.43124238,0.39037573,0.34493923,0.2990271,0.26609802,0.26309252,0.29497194,0.34703228,0.39233145,0.41278532,0.41133246,0.4066566,0.41315636,0.42932817,0.4411489,0.4368446,0.41589952,0.38724482,0.36019376,0.33788875,0.31790033,0.29651153,0.2725236,0.24708498,0.22268796,0.20378417,0.19882013,0.21965241,0.27211204,0.34675232,0.41739985,0.45779717,0.45740494,0.4261451,0.3815136,0.33665073,0.29739615,0.26637334,0.24588001,0.23557991,0.23166978,0.2280194,0.22153217,0.21416686,0.21167569,0.2166994,0.22492935,0.22673137,0.21615903,0.19711049,0.18092565,0.17652442,0.18297863,0.19275664,0.20002685,0.206627,0.21756911,0.23443192,0.2515848,0.2612923,0.2593284,0.24772906,0.23131485,0.2142746,0.19873436,0.18618925,0.1779706,0.17424476,0.17268677,0.17046571,0.16793878,0.17118084,0.1869182,0.21589951,0.24837394,0.27105024,0.27493,0.26109114,0.2363324,0.20839979,0.18432635,0.1733743,0.18967791,0.2436055,0.33111504,0.4252695,0.4914036,0.5059497,0.47193825,0.4093816,0.34175268,0.28595212,0.25486413,0.2595605,0.30283606,0.3723077,0.43949857,0.47689855,0.4717926,0.4327813,0.37732914,0.32144773,0.27424803,0.24260275,0.23433672,0.25461483,0.29905167,0.3496181,0.38374054,0.38579664,0.355477,0.3032402,0.24340846,0.18965231,0.15474583,0.15076281,0.18223368,0.2412672,0.30546632,0.352157,0.37071112,0.36915377,0.36157095,0.35654303,0.35189056,0.3433044,0.3308573,0.3207468,0.31756377,0.31994918,0.31944907,0.30770114,0.28024566,0.238934,0.18897508,0.13966854,0.1037849,0.096107535,0.12370461,0.17866433,0.23784792,0.27839592,0.29267094,0.29273874,0.29662374,0.31258884,0.33376327,0.34649768,0.34220102,0.3218957,0.2934079,0.2648848,0.24161325,0.22506072,0.21440661,0.20723273,0.20089741,0.19332276,0.1859916,0.18575136,0.20481573,0.2515861,0.3219241,0.39508948,0.44717947,0.46479046,0.45219728,0.4210805,0.38140944,0.33914718,0.30247715,0.28236988,0.28494012,0.30340758,0.3202463,0.31926265,0.29581848,0.2567226,0.212909,0.17299323,0.14417134,0.13387538,0.14913802,0.18884738,0.24005467,0.28222698,0.3014278,0.29890633,0.28781655,0.28027806,0.27902913,0.27885875,0.2733648,0.26003465,0.24022073,0.21746485,0.19507517,0.17539948,0.15926087,0.1463592,0.13557394,0.12621336,0.12094575,0.12856527,0.16291763,0.23217607,0.32794356,0.42287326,0.48718247,0.505806,0.48499343,0.44118413,0.38938633,0.33988476,0.3019171,0.28542563,0.29496303,0.32416365,0.35600176,0.37395892,0.37152055,0.35461888,0.332646,0.3104217,0.28525087,0.2525942,0.2115509,0.16701107,0.12638749,0.09709153,0.086294435,0.10064799,0.14150923,0.19977297,0.25703382,0.2959253,0.30915722,0.30145153,0.2821249,0.25921562,0.23722734,0.21971358,0.21082556,0.21376945,0.22795844,0.24672596,0.26211107,0.27142295,0.28310168,0.31020117,0.3584,0.41613445,0.4603738,0.47212848,0.4486246,0.40229142,0.34990636,0.30525112,0.27788404,0.27648374,0.30430758,0.353768,0.4018062,0.42245427,0.39955485,0.33843467,0.25767103,0.1799541,0.1202751,0.0853428,0.07274222,0.074704565,0.08056293,0.083510466,0.08511778,0.09692126,0.13131888,0.19036536,0.25872108,0.3128296,0.3358611,0.3279769,0.30181286,0.27127913,0.24452336,0.22349787,0.20825833,0.19783194,0.19119902,0.18622647,0.18326055,0.18695837,0.20730694,0.25081256,0.31308687,0.3752323,0.41638768,0.42532158,0.40731668,0.3752954,0.34205458,0.31612095,0.3055879,0.31784058,0.3544024,0.4045613,0.4474089,0.46252465,0.44030035,0.38515714,0.31030568,0.23205602,0.16462202,0.11773469,0.0944525,0.09117875,0.09970351,0.110763855,0.1194579,0.12734284,0.14142497,0.16544197,0.19562638,0.2202388,0.23047759,0.2248507,0.21061315,0.1948384,0.18183859,0.17150478,0.1632633,0.15646501,0.15115309,0.14684552,0.14307423,0.14030083,0.14187355,0.15372266,0.1809609,0.22359557,0.27414584,0.32026556,0.34948885,0.35680512,0.34928858,0.34479895,0.36060628,0.4001671,0.44876823,0.4826691,0.4852716,0.45636177,0.41123953,0.3696424,0.34719506,0.34909305,0.37013605,0.3942134,0.4008369,0.3772223,0.33200553,0.29562077,0.30041036,0.35682175,0.44141197,0.5156086,0.5498521,0.5428505,0.5113678,0.47580266,0.44574773,0.4227912,0.40460548,0.3897271,0.37688372,0.36497965,0.35285974,0.3396851,0.32410106,0.30515352,0.28421167,0.2678546,0.26558343,0.28327796,0.31642714,0.35034144,0.36853287,0.36203644,0.3340799,0.29675183,0.26441196,0.24637331,0.24364394,0.2496121,0.25604245,0.25769746,0.2542192,0.2471326,0.23762976,0.22664921,0.21509044,0.20388728,0.19175659,0.17712098,0.16022056,0.14626534,0.14205681,0.15087897,0.16803788,0.18520534,0.19832873,0.21429823,0.24528418,0.2969464,0.35814032,0.4063587,0.42251027,0.40412143,0.36370572,0.3178684,0.27700755,0.24394087,0.21741591,0.195943,0.1795572,0.17151761,0.17963994,0.2127666,0.27228352,0.34433472,0.40358615,0.42799678,0.41256037,0.37034997,0.32066038,0.27795926,0.24804688,0.23245883,0.23077178,0.2410664,0.2574196,0.2721908,0.27846715,0.2737781,0.2587412,0.23622535,0.20933755,0.1825668,0.16146974,0.15270364,0.16031547,0.18276496,0.21180297,0.23980264,0.26849774,0.31090963,0.37757495,0.46091148,0.5335637,0.56788325,0.5558699,0.5118802,0.45738983,0.40601778,0.36152962,0.32381928,0.29443246,0.27541438,0.2663214,0.26239148,0.2584394,0.2556649,0.2673584,0.31096727,0.393234,0.4952203,0.58224803,0.6239876,0.61580473,0.5739823,0.5218211,0.47375083,0.4348713,0.40410563,0.37946618,0.3579209,0.3385011,0.32457164,0.3277212,0.3597772,0.42175198,0.49239707,0.5377572,0.53071964,0.47113886,0.3834795,0.29945755,0.23905115,0.20675427,0.19927607,0.21291156,0.24200027,0.27554658,0.29934016,0.30525044,0.29582366,0.28073433,0.268236,0.26167405,0.2622119,0.27203432,0.29332185,0.3232682,0.35308442,0.37355158,0.38381496,0.39299944,0.41084078,0.4367827,0.4580584,0.46132565,0.44351628,0.4141798,0.38614795,0.36681214,0.3552222,0.34671125,0.33837464,0.33130118,0.32830018,0.33082625,0.33729318,0.3439921,0.34598708,0.33958355,0.32362875,0.30199257,0.28169295,0.270826,0.2728126,0.28436497,0.29617694,0.29981688,0.29336718,0.28158808,0.26986137,0.2592566,0.24724029,0.23208429,0.21459967,0.1967966,0.17953204,0.16289718,0.1472628,0.13398387,0.1244242,0.118585646,0.11477783,0.11103351,0.10813127,0.110708036,0.12435875,0.14969736,0.17926979,0.20175456,0.2099272,0.2054019,0.19551627,0.187656,0.18604296,0.19255286,0.20701598,0.2258478,0.24133134,0.24438669,0.23038012,0.20328051,0.17541163,0.16059743,0.16531341,0.1827205,0.19647385,0.19230254,0.16907592,0.13988416,0.1211567,0.121489525,0.13820244,0.1658963,0.20294082,0.25083682,0.30473587,0.35082057,0.37280926,0.36454704,0.33267584,0.29101798,0.25024953,0.21577488,0.18868239,0.16943894,0.15700771,0.14927213,0.14408429,0.14350833,0.15549582,0.18966115,0.24830918,0.31919986,0.38013327,0.41078243,0.40530005,0.3724314,0.3282709,0.28638622,0.25545445,0.24124424,0.24902098,0.27987155,0.3253366,0.36744833,0.389304,0.3870703,0.37094113,0.3541206,0.34121236,0.32981458,0.3191866,0.3152144,0.32384214,0.3427436,0.3614519,0.36981618,0.36602756,0.3550527,0.34229767,0.3282966,0.31132868,0.29084325,0.26938567,0.2491238,0.2302376,0.21149655,0.19382872,0.18177319,0.1810361,0.19355361,0.21394582,0.23211335,0.23963813,0.2349451,0.22241013,0.20767985,0.19688678,0.19889931,0.22759528,0.2904912,0.37692976,0.45252958,0.4810876,0.447737,0.37152663,0.28688887,0.22250931,0.1901543,0.19289415,0.23004036,0.29478195,0.36689177,0.42095825,0.4412525,0.43433762,0.41840792,0.40609172,0.39295688,0.36879322,0.33277133,0.29817602,0.27915165,0.27759895,0.28334835,0.28526878,0.28004405,0.2705603,0.2605096,0.25118265,0.24317181,0.23749413,0.23485476,0.23406635,0.2330615,0.23299973,0.24041839,0.26376668,0.30366647,0.34789667,0.37797964,0.38511106,0.37935197,0.3799915,0.39810035,0.42552748,0.44699934,0.45382217,0.45188388,0.44936666,0.44792327,0.44134572,0.42613813,0.4077606,0.395396,0.39233503,0.38890755,0.3733333,0.34412375,0.3218597,0.3342515,0.39589736,0.48737133,0.56643087,0.59321594,0.55912197,0.48624793,0.4105312,0.3575648,0.33955455,0.35607645,0.40051305,0.45454898,0.49656606,0.51025933,0.49795148,0.47226766,0.44523606,0.4177312,0.3871746,0.35538146,0.3317168,0.32364526,0.32988146,0.3406477,0.34717453,0.3462392,0.34006825,0.32989576,0.31659395,0.3007331,0.28574392,0.27431715,0.26798955,0.26515234,0.26379633,0.261727,0.25789383,0.25057352,0.23725383,0.21639061,0.19135539,0.1722647,0.17031707,0.18957198,0.22204769,0.25437164,0.27875766,0.29860842,0.32244608,0.3520364,0.3787798,0.3897318,0.37979516,0.3545228,0.32546964,0.3006439,0.28207278,0.26878926,0.2614878,0.2618446,0.2682841,0.27446294,0.27454343,0.27059567,0.2722486,0.28809497,0.31605467,0.34491506,0.36257097,0.36457738,0.35321176,0.33372465,0.31037268,0.28669724,0.2652705,0.24717717,0.2315845,0.21662833,0.20271516,0.19290663,0.19194956,0.19946684,0.2088723,0.2093483,0.19610256,0.17309864,0.15087704,0.13748242,0.13592695,0.14603426,0.1692633,0.20891078,0.26619336,0.33474633,0.39961088,0.44360784,0.4568137,0.44187853,0.40951678,0.37092245,0.33200347,0.29498842,0.26100543,0.23223968,0.21073538,0.19681115,0.18891507,0.18423568,0.18095233,0.1778468,0.17448144,0.16978218,0.1650669,0.16656484,0.18710648,0.23756872,0.3166204,0.4029548,0.4649737,0.47620848,0.43158615,0.34666392,0.24942772,0.16680235,0.11900235,0.117522955,0.16224669,0.23940475,0.3210818,0.3798364,0.3996545,0.38428476,0.3467025,0.30137956,0.25788653,0.22417144,0.20801026,0.21416573,0.23949993,0.27046046,0.29132825,0.29303482,0.27921587,0.26027784,0.24676065,0.24371569,0.25164005,0.26787448,0.28832975,0.3082823,0.3233749,0.33281335,0.33974954,0.35073605,0.3683976,0.3900312,0.4067408,0.41171458,0.40085998,0.37634397,0.34383282,0.316106,0.30739558,0.3250507,0.359749,0.3910755,0.40522996,0.40718722,0.41410777,0.4357606,0.4649026,0.4860712,0.49038187,0.4820303,0.46954212,0.4566101,0.4366746,0.4006559,0.34558392,0.28237638,0.23073554,0.2085063,0.21940596,0.25151774,0.28535742,0.30655634,0.31179225,0.30601528,0.29437438,0.27870464,0.258911,0.23852849,0.22509135,0.22629039,0.24246204,0.2656645,0.28531012,0.2976501,0.3075635,0.3234724,0.34698245,0.37128314,0.38491178,0.3821771,0.36548698,0.34274843,0.3202965,0.30060396,0.28409347,0.27142528,0.26363492,0.26054636,0.260303,0.26085368,0.26106298,0.26094782,0.26025054,0.2585036,0.2550887,0.25000137,0.24341325,0.23659877,0.23139262,0.2298751,0.23331165,0.2442709,0.26589146,0.29858628,0.33484948,0.3628187,0.3745849,0.37248588,0.36467218,0.35745135,0.35137382,0.3443425,0.33514988,0.32486102,0.31521806,0.30708906,0.30024382,0.29451492,0.29231548,0.2972863,0.3111485,0.32935777,0.34356427,0.34742692,0.3406763,0.32762587,0.31107655,0.2916707,0.26876757,0.24613027,0.22971953,0.22461873,0.22808838,0.23181416,0.22784178,0.21659982,0.20459145,0.19859754,0.19834341,0.19952631,0.19650519,0.18823408,0.17676234,0.1676272,0.16621143,0.17776632,0.20680766,0.25622952,0.32234168,0.3907187,0.4401128,0.4545342,0.43345276,0.3902572,0.34198582,0.2995937,0.26678598,0.24203707,0.22284712,0.20596252,0.190114,0.17505385,0.16266681,0.15376182,0.14820725,0.14357354,0.13871588,0.13641459,0.14686906,0.18272716,0.24937017,0.3338941,0.4076027,0.4399058,0.4173119,0.3493459,0.26191518,0.18190579,0.12873305,0.11296513,0.13920854,0.20305598,0.2869375,0.36200047,0.4031025,0.40233016,0.37204704,0.33072242,0.29163322,0.25940067,0.23883629,0.23660046,0.25690985,0.2920936,0.32598603,0.34325626,0.3404387,0.3238529,0.303313,0.28467214,0.26973462,0.25739875,0.24600609,0.23394616,0.22076017,0.20835066,0.20149004,0.20742111,0.23042877,0.26738504,0.3049474,0.32809892,0.32856086,0.31024188,0.28284553,0.25469688,0.2290665,0.20628166,0.18678577,0.171057,0.1592731,0.15030877,0.14340691,0.13816582,0.13496338,0.13322157,0.1318597,0.12958276,0.12684888,0.12532805,0.12687911,0.13119729,0.13619803,0.13952804,0.14100678,0.14213286,0.14475755,0.14995833,0.1587872,0.17308159,0.1935078,0.2183866,0.24219362,0.25794756,0.25910652,0.24270312,0.2125897,0.17918652,0.15832353,0.16389713,0.2023985,0.26610273,0.33541706,0.38782838,0.4105958,0.4052011,0.38182023,0.35033822,0.3168526,0.2861675,0.26461557,0.25849047,0.26854643,0.2875341,0.30415973,0.31268057,0.31716478,0.32616138,0.34182814,0.35607266,0.3579236,0.34405926,0.32076967,0.29750594,0.27861574,0.26453504,0.25460202,0.2509232,0.25359258,0.25956598,0.26215166,0.257094,0.24418654,0.2271999,0.209868,0.19507676,0.18536423,0.18419582,0.19406337,0.2138107,0.23807137,0.26147816,0.28293905,0.30515757,0.32899597,0.3492045,0.35729432,0.3480076,0.3241525,0.29383668,0.26545277,0.24259652,0.22513641,0.21121866,0.20022501,0.19134206,0.18331039,0.1752408,0.1697952,0.17380732,0.19282274,0.22543187,0.25995556,0.28281334,0.28603122,0.27335346,0.25384346,0.23598184,0.22235823,0.21222799,0.20455788,0.20042448,0.2015525,0.20723008,0.21288723,0.21240342,0.20322627,0.18853192,0.17481159,0.1661527,0.16254996,0.16151394,0.16242324,0.1655425,0.1708252,0.17522039,0.1772325,0.17947818,0.1902083,0.2156558,0.25381932,0.29292485,0.3192037,0.32549354,0.31365097,0.2910876,0.26535845,0.24288042,0.22901429,0.22874416,0.24384321,0.2695718,0.2932125,0.30134025,0.2895565,0.26883543,0.25659207,0.26409134,0.28786418,0.31634563,0.3391405,0.352267,0.35651502,0.35631284,0.36100516,0.3806776,0.41813007,0.46199083,0.49461922,0.5047236,0.49492517,0.47472534,0.4508697,0.42538348,0.4002845,0.38251284,0.3789407,0.3925779,0.41781318,0.44908616,0.4836019,0.5256521,0.5752742,0.62415355,0.6552083,0.65549725,0.625535,0.57897496,0.5339585,0.50175077,0.48414525,0.47576928,0.47232485,0.4737797,0.48261848,0.49792433,0.5129049,0.5195028,0.51376116,0.49824885,0.47760794,0.4562104,0.43827018,0.42985418,0.4360068,0.4562662,0.48336902,0.509728,0.53374153,0.56241196,0.6015627,0.64791757,0.683455,0.6889703,0.656112,0.5972106,0.5331528,0.4812175,0.4446304,0.4184731,0.3957727,0.37378645,0.3523864,0.33359957,0.32110974,0.3222789,0.3457918,0.39431366,0.4569037,0.51135546,0.5373959,0.5296883,0.49832025,0.45870635,0.42057753,0.3857843,0.35110906,0.31399003,0.27463394,0.23706083,0.20635045,0.18612085,0.17659818,0.17413022,0.17346255,0.16944031,0.16217525,0.15721788,0.16529453,0.19386691,0.24397266,0.30918583,0.38435102,0.46728158,0.5553515,0.6356512,0.6872147,0.6930259,0.65377265,0.58765227,0.5173143,0.45640305,0.40567696,0.36074972,0.32011715,0.28768608,0.26727688,0.25907615,0.26152122,0.27717242,0.3117874,0.36580992,0.425926,0.46955982,0.47979704,0.45732665,0.41746816,0.37657794,0.34325767,0.32007554,0.31133676,0.32319972,0.35695922,0.40143153,0.43683395,0.4465177,0.4283142,0.39363766,0.35790417,0.33068824,0.3149425,0.31308612,0.33010414,0.36961088,0.42429993,0.47621393,0.50492996,0.5018068,0.47208115,0.42947316,0.3856736,0.34789953,0.32052517,0.30720708,0.3086597,0.31946722,0.3297169,0.330178,0.317663,0.29466775,0.26677233,0.24024862,0.22204094,0.21886015,0.23346317,0.2613118,0.29076567,0.30975595,0.31217548,0.30022046,0.27984113,0.25650713,0.23566376,0.22663803,0.24229753,0.2893485,0.35897326,0.42784488,0.474785,0.4942242,0.49629954,0.4909004,0.47775105,0.44912067,0.40353635,0.3507038,0.30556384,0.2765015,0.26400593,0.26683125,0.28653684,0.32185924,0.3609027,0.38517985,0.38149226,0.35217535,0.30948302,0.26672938,0.23215465,0.21301349,0.21641414,0.24555826,0.2934865,0.34562156,0.3887848,0.41971496,0.44310704,0.4657549,0.48900947,0.50931513,0.51902705,0.51257807,0.48941863,0.45663002,0.4253366,0.4053391,0.4002554,0.40588316,0.41352963,0.41457948,0.40572384,0.38911083,0.37088683,0.35672498,0.34906864,0.34528062,0.3402933,0.33231798,0.3254846,0.3264241,0.3347976,0.3431584,0.3441606,0.34372926,0.3563454,0.39218315,0.44184816,0.4842485,0.50285584,0.49851766,0.48351088,0.46789172,0.45380032,0.43850124,0.42373863,0.41527662,0.4191321,0.43320867,0.45010087,0.46402022,0.47963032,0.506306,0.54577,0.5826345,0.59390545,0.5672803,0.5110109,0.44614294,0.38977733,0.34786654,0.31723025,0.2933761,0.27299216,0.25436363,0.23647402,0.21938746,0.20477541,0.19371586,0.18556844,0.1775422,0.16991574,0.16862877,0.1838695,0.22300123,0.2851508,0.3641826,0.45435464,0.5527926,0.65203077,0.7338779,0.7757562,0.7657675,0.7134223,0.6414921,0.5709972,0.51183,0.46692657,0.43941784,0.43277368,0.4456408,0.46935797,0.4941686,0.5172663,0.54406166,0.57981783,0.6205692,0.6521785,0.6596294,0.63627046,0.58691484,0.5228981,0.4569769,0.39944467,0.35633162,0.32834497,0.3121157,0.3031673,0.29876658,0.29886076,0.30577552,0.32094064,0.34183916,0.36051357,0.37010524,0.37199962,0.3779485,0.3997599,0.4378337,0.47871193,0.50702995,0.5190358,0.52433115,0.53386617,0.54685766,0.5510164,0.5336012,0.49297762,0.43840098,0.38326797,0.33693123,0.30291137,0.27913973,0.261144,0.24441998,0.22800477,0.21487117,0.20967798,0.21384133,0.2238525,0.23674507,0.25885722,0.3083872,0.39973012,0.5232024,0.63702136,0.6922557,0.6663431,0.5799269,0.4773908,0.39623097,0.35337582,0.35373878,0.40086928,0.4893217,0.5930681,0.669589,0.68791074,0.64949346,0.5849121,0.52386147,0.4774132,0.43967077,0.40900758,0.39250854,0.3973613,0.41487274,0.42538488,0.41276014,0.37776542,0.3330491,0.2919879,0.26075304,0.23913723,0.22389214,0.21048875,0.19498712,0.17760868,0.1658532,0.1739334,0.21280651,0.2807549,0.35767362,0.41751996,0.44190326,0.43152726,0.39897823,0.35973474,0.3246061,0.30181125,0.29863653,0.31726038,0.35036072,0.38125023,0.39757666,0.4006696,0.40446392,0.4187266,0.4372162,0.4433736,0.42695096,0.39627147,0.36894616,0.35678005,0.35728356,0.36382794,0.37752995,0.40587413,0.45106018,0.4997605,0.53236324,0.53487426,0.50990254,0.46952072,0.42874804,0.3969581,0.3797902,0.3775637,0.3872496,0.40043747,0.4087261,0.40639886,0.39406893,0.3749323,0.35255638,0.32984725,0.311455,0.3048658,0.3163484,0.3455795,0.38171825,0.4092494,0.41576514,0.39916995,0.3652527,0.32455763,0.28882384,0.27175117,0.28436288,0.32789794,0.3866732,0.43464288,0.45133534,0.4363129,0.40543726,0.37521377,0.35084417,0.33140758,0.31939492,0.3229634,0.34411147,0.3733903,0.39354667,0.39425504,0.37622073,0.34875026,0.32017916,0.29505226,0.273727,0.25448033,0.23548603,0.21767639,0.20802397,0.21737991,0.2524647,0.3074971,0.3638161,0.40215436,0.41395637,0.4062722,0.39209294,0.3818055,0.3774347,0.37593684,0.3727475,0.36506352,0.35388425,0.34472093,0.34703386,0.36801913,0.40520582,0.44300893,0.45997003,0.44348708,0.39784154,0.3408138,0.2901868,0.25805327,0.25241336,0.28179225,0.34782135,0.43658018,0.517508,0.5624357,0.56146103,0.5274238,0.4795601,0.4316862,0.38816106,0.351138,0.32311967,0.30600038,0.29737136,0.29184306,0.28444314,0.2741491,0.26282272,0.2526439,0.24606653,0.24932718,0.27531388,0.3345112,0.4220333,0.50892615,0.5576539,0.5442259,0.47490522,0.37741217,0.28445175,0.21971464,0.196697,0.21834154,0.27437368,0.34061885,0.38822147,0.40055612,0.38022402,0.34369448,0.30572847,0.27513078,0.256039,0.25446498,0.27272514,0.30517712,0.33563736,0.3495047,0.34164134,0.3196068,0.29347876,0.26994792,0.24987333,0.23269795,0.2179646,0.20585269,0.19721754,0.19592254,0.20957233,0.2446757,0.2986904,0.35638967,0.39799324,0.41130784,0.39837578,0.3702159,0.3386167,0.31140593,0.29297888,0.2843034,0.2828197,0.28341535,0.28349128,0.28619146,0.29851174,0.3235598,0.35429963,0.3767369,0.37882546,0.3607024,0.33197942,0.30566373,0.2885578,0.28410533,0.29455614,0.3222749,0.36328754,0.4044834,0.43013573,0.43150255,0.41247094,0.3835067,0.3543234,0.32958266,0.31119046,0.30010423,0.2958578,0.29457626,0.29126784,0.28343868,0.27454278,0.26962733,0.27161324,0.27744755,0.2830586,0.28579488,0.28745547,0.2907726,0.2971127,0.3044461,0.30799067,0.30371824,0.29024085,0.27048895,0.24892102,0.23066406,0.2201754,0.22195363,0.23814046,0.2667894,0.30023453,0.32882094,0.34464157,0.34591284,0.33646807,0.3236576,0.313748,0.31060883,0.31603572,0.33280674,0.36131215,0.3968073,0.42652646,0.43871543,0.42956805,0.40677515,0.38138044,0.36150038,0.35026237,0.34879574,0.35677788,0.3710018,0.38588926,0.39749238,0.40659368,0.4164494,0.4281387,0.4396285,0.44991276,0.46292993,0.48415685,0.5134674,0.54028106,0.54944485,0.5310876,0.48763254,0.43055046,0.3728617,0.32361424,0.28769943,0.26798654,0.26476836,0.2744603,0.2879597,0.2948432,0.286955,0.26339054,0.22904377,0.19453381,0.17329122,0.18120877,0.22989647,0.31761122,0.42212024,0.50853914,0.5494352,0.54100513,0.5010924,0.452171,0.40771258,0.37034842,0.33860937,0.31124297,0.28828475,0.26953307,0.2553051,0.24595273,0.24194832,0.24188976,0.2444771,0.25169376,0.27302977,0.31894806,0.3888409,0.45992613,0.4983857,0.4826534,0.42333326,0.35305598,0.3014822,0.27719304,0.27583027,0.29468217,0.33382407,0.38431498,0.42444935,0.43531188,0.41582668,0.3818452,0.34804842,0.31878814,0.29295695,0.27731612,0.28354514,0.31633613,0.36134544,0.3953476,0.4020076,0.3831582,0.35134313,0.31867024,0.29035595,0.26640347,0.24521476,0.22560406,0.20739865,0.19280656,0.18681921,0.19808531,0.23263426,0.28821146,0.34849796,0.39260733,0.40587428,0.38978353,0.35597983,0.3186138,0.28806564,0.27220562,0.27626613,0.29951572,0.33210054,0.35788998,0.36378014,0.34709474,0.315392,0.28040358,0.25257632,0.2405725,0.249296,0.2775897,0.3145508,0.34509304,0.3575271,0.35030565,0.32929122,0.3033178,0.2812129,0.2724434,0.28306335,0.31088892,0.34195745,0.35977027,0.35461947,0.33008343,0.2963455,0.2640377,0.24075723,0.23346995,0.24687849,0.2793852,0.31954193,0.35196635,0.36583376,0.36092126,0.34359136,0.32103202,0.29873517,0.28296387,0.2812853,0.29691097,0.3235388,0.34767422,0.36082163,0.36653927,0.37533757,0.390366,0.40308,0.40298164,0.39165413,0.38199243,0.38510886,0.39860043,0.41207242,0.42095077,0.43145666,0.45154312,0.47683716,0.49270475,0.48429003,0.45010176,0.40023673,0.35102582,0.31613398,0.3045874,0.3167744,0.34481752,0.37341332,0.39008164,0.39061812,0.38176918,0.3719622,0.3658546,0.36201406,0.3583626,0.3560305,0.3570471,0.36125562,0.36289015,0.35843122,0.3489549,0.3426468,0.34434304,0.35264036,0.3603561,0.36488643,0.37341893,0.39707288,0.43962273,0.48841214,0.5235413,0.5285621,0.50115794,0.44848934,0.3849803,0.3286625,0.30100235,0.31772974,0.37838137,0.46065268,0.53067607,0.5607003,0.5422222,0.48548445,0.41067758,0.34115282,0.29853725,0.29782566,0.3383923,0.40115595,0.45672932,0.48313197,0.47767782,0.4532067,0.42379627,0.39633957,0.37457958,0.36728445,0.38486704,0.42839277,0.48220578,0.52325773,0.5356014,0.5180493,0.47891915,0.42857507,0.37757516,0.3375965,0.31878552,0.32257497,0.33887255,0.35212222,0.3527414,0.34256378,0.33028233,0.3226243,0.3228431,0.33554268,0.37109718,0.43550983,0.5208574,0.6004686,0.64805263,0.6515619,0.6216045,0.57745224,0.53606296,0.5040814,0.4796859,0.4567531,0.42934442,0.3976518,0.37063435,0.36636177,0.4025185,0.48337865,0.5889887,0.68146175,0.7251274,0.70673585,0.6399059,0.5525909,0.4729316,0.4204925,0.4071174,0.43280616,0.48388615,0.53160125,0.5486726,0.5235314,0.467752,0.40159622,0.34155738,0.2970927,0.27937374,0.30027893,0.36138025,0.44220877,0.51202834,0.5521094,0.5718991,0.5928502,0.62290645,0.64412445,0.63122845,0.5773,0.5000617,0.42641923,0.37132588,0.33467817,0.30779633,0.2844688,0.26171774,0.24102719,0.22778827,0.23469548,0.2761533,0.35700098,0.4604392,0.5529084,0.60341614,0.6017323,0.5593956,0.49646464,0.43142366,0.37942755,0.35549128,0.36828855,0.41286469,0.4672242,0.5069802,0.52007884,0.51278275,0.49708724,0.47775885,0.45024967,0.40926227,0.3566673,0.29961684,0.24544601,0.20111156,0.17821139,0.19394879,0.25790823,0.35806605,0.45892918,0.5238392,0.53600746,0.5060933,0.45692822,0.4083242,0.36874297,0.33823863,0.31312022,0.28939134,0.26455677,0.24035056,0.2260999,0.2401485,0.29692206,0.39283934,0.4954157,0.5641207,0.57170326,0.5229861,0.4413785,0.3573059,0.2957499,0.276904,0.30724287,0.374395,0.44670367,0.49231935,0.4947672,0.4601114,0.40454844,0.34561095,0.29709452,0.27288666,0.2807429,0.31644225,0.35839438,0.3816748,0.37108114,0.33079752,0.27481958,0.21787405,0.17056721,0.14368097,0.15040639,0.1990596,0.282572,0.37329963,0.43658754,0.44999945,0.41645265,0.35670933,0.2943518,0.24605586,0.22303241,0.23642902,0.28984866,0.37148657,0.44840422,0.488116,0.47587752,0.4257704,0.36201763,0.30636346,0.27061763,0.26540777,0.29549822,0.35424343,0.41521212,0.44905177,0.43875107,0.39313865,0.33295405,0.27809465,0.23664455,0.21091123,0.20213288,0.21134193,0.23405492,0.2596918,0.27940062,0.2939202,0.31062925,0.3325069,0.35160446,0.35726476,0.3460026,0.32439813,0.3005626,0.27897474,0.26038882,0.24588351,0.23527797,0.22588517,0.21199916,0.1945353,0.18486552,0.2042547,0.2642094,0.35488915,0.44228268,0.49293578,0.4921641,0.45265925,0.3972757,0.34621406,0.3095247,0.2934797,0.30006996,0.32570824,0.35703507,0.37914252,0.3826979,0.3688225,0.34243307,0.3082538,0.27231008,0.2464667,0.24664406,0.2798681,0.3354075,0.38682282,0.4122068,0.40783918,0.38973737,0.37553254,0.37285092,0.37541294,0.3735566,0.36054397,0.3372579,0.3086178,0.28138742,0.26037213,0.2481726,0.24396217,0.24423109,0.24419801,0.24302264,0.24758951,0.27126732,0.32330093,0.39833894,0.47482586,0.528006,0.5447945,0.5295882,0.49618745,0.45743155,0.42166612,0.39671412,0.3931261,0.41737714,0.46293083,0.50696754,0.52516234,0.5067145,0.46077433,0.40409133,0.34935653,0.30053806,0.2579195,0.2212981,0.18995185,0.16415541,0.14900069,0.1585654,0.20568345,0.2895232,0.38546178,0.46089497,0.49352455,0.48556626,0.45350087,0.41524494,0.38008106,0.35023275,0.32402298,0.29910222,0.27389878,0.24911964,0.22883588,0.2203332,0.23168387,0.26526868,0.3134428,0.3588272,0.38499537,0.38477454,0.36386296,0.33282816,0.3022486,0.2805091,0.2780725,0.3024993,0.3508083,0.40147686,0.42578736,0.40471137,0.3434428,0.26367685,0.18944184,0.13341759,0.09763023,0.07688624,0.06502992,0.057695206,0.057239342,0.07402271,0.12058108,0.1998909,0.2962619,0.38214934,0.43386242,0.44580963,0.42871523,0.39887056,0.3674858,0.3384582,0.311107,0.28427985,0.25785145,0.23395737,0.21677499,0.21317512,0.2293769,0.26563922,0.31157732,0.34967366,0.36574158,0.35717097,0.33222812,0.30171862,0.27358684,0.25261173,0.24342997,0.24883358,0.26674178,0.28721622,0.2973198,0.28684366,0.25515395,0.20970891,0.16291215,0.125048,0.10237353,0.0955547,0.10154719,0.1141152,0.12746173,0.13991968,0.15551436,0.17904967,0.2089506,0.23544455,0.24709426,0.23961683,0.21841615,0.1937785,0.17399247,0.1625089,0.1586206,0.15970774,0.16283113,0.1660562,0.16922791,0.17277788,0.17658687,0.1784854,0.17642236,0.16915219,0.15814142,0.14547932,0.13364267,0.123512626,0.115805395,0.1120635,0.11707896,0.13634662,0.17165066,0.21548162,0.25492907,0.27843663,0.28450528,0.2772189,0.26244894,0.24146193,0.21726154,0.19418128,0.1783265,0.16974472,0.16480476,0.16204779,0.17070915,0.20491314,0.2702196,0.351223,0.420336,0.45527855,0.45419,0.42963946,0.39670733,0.3635234,0.33361098,0.30949125,0.29356882,0.2850242,0.27902022,0.27019346,0.25801036,0.24873424,0.25011688,0.26454282,0.2854317,0.303086,0.31165692,0.31205368,0.3077259,0.30016616,0.29003766,0.27975118,0.2746559,0.27785203,0.28777334,0.2982355,0.30455658,0.30467764,0.29930356,0.28781092,0.27061138,0.24988024,0.23092519,0.21762736,0.21014594,0.20471382,0.19815427,0.19155867,0.19169055,0.2053108,0.23276006,0.26338664,0.28284606,0.28183973,0.26273072,0.23411287,0.2042991,0.17688026,0.15251416,0.1312865,0.11351802,0.099974185,0.09188485,0.09222802,0.10490922,0.13165432,0.16820377,0.2038929,0.22773112,0.2342834,0.2265724,0.21139474,0.1951635,0.18069805,0.16857992,0.15796961,0.14800324,0.13795699,0.12833554,0.12125343,0.11945653,0.12410667,0.13282813,0.14126608,0.14565359,0.14528084,0.14133047,0.13518322,0.12720856,0.11749008,0.10669615,0.096019804,0.086512245,0.07851062,0.072377846,0.06946912,0.07265266,0.08415844,0.1033475,0.1255508,0.14585696,0.16240795,0.17793791,0.19504528,0.2129082,0.22630297,0.2303008,0.22348668,0.2088718,0.1910608,0.17391461,0.15971388,0.14988519,0.14510788,0.14495035,0.14722642,0.14930761,0.14909644,0.146037,0.14009804,0.1322615,0.12496897,0.123173185,0.13132639,0.1498187,0.17174475,0.18682896,0.18696696,0.17159738,0.14576223,0.11677643,0.09118494,0.075593375,0.076266415,0.095937096,0.12958325,0.16462718,0.18771392,0.19254649,0.18230598,0.16521353,0.1483638,0.13535728,0.12698646,0.12294388,0.12174925,0.121417165,0.1207378,0.12166319,0.1283408,0.14391321,0.1663881,0.18948962,0.20682208,0.21597458,0.21848464,0.2166416,0.211547,0.20289628,0.19068766,0.17562668,0.15912133,0.1429262,0.12884523,0.118727975,0.11305488,0.110936165,0.109754734,0.10791299,0.10553437,0.105814405,0.11152304,0.123232506,0.1367186,0.14714007,0.15193911,0.15393043,0.15663232,0.16105036,0.16329521,0.15925206,0.14743702,0.13067377,0.112998724,0.09792963,0.08727882,0.081416585,0.079245366,0.07877159,0.07927972,0.082880385,0.094118364,0.115296386,0.1433491,0.16951454,0.18583584,0.1891057,0.18293257,0.17271833,0.16347061,0.15730976,0.1550741,0.15552203,0.15622939,0.15420009,0.14861305,0.14168291,0.13684408,0.13522069,0.13401966,0.12940387,0.11996102,0.10806763,0.09718231,0.09011,0.08996922,0.102630265,0.13507815,0.18821561,0.25098288,0.30307534,0.32770276,0.3218256,0.29634508,0.26545373,0.23798382,0.21529551,0.19577326,0.17832851,0.16391958,0.15437841,0.15171784,0.15582211,0.16434209,0.17271437,0.1783369,0.18136878,0.18390328,0.18583326,0.1850072,0.18069328,0.1764241,0.17772657,0.18611865,0.19678168,0.20215814,0.19839226,0.18752326,0.17444994,0.16416238,0.16257213,0.17986844,0.2247877,0.29543647,0.37109816,0.42413786,0.4364597,0.41227975,0.36950532,0.32585046,0.28887165,0.25805852,0.23070937,0.20572923,0.18365605,0.16542365,0.15145677,0.14181589,0.13580604,0.13198774,0.12797792,0.12176538,0.11269485,0.10206163,0.09192693,0.08375492,0.07759791,0.072612554,0.067962475,0.06329514,0.058571983,0.053839777,0.049195543,0.04490943,0.04129118,0.038533937,0.036566224,0.035168935,0.0341008,0.03322081,0.032461528,0.031747643,0.03095259,0.029949917,0.028723108,0.027395451,0.026162716,0.025174672,0.024469709,0.023984028,0.023609878,0.023248529,0.022823682,0.022301747,0.021689378,0.021057492,0.020480536,0.020007355,0.019617349,0.019268284,0.018918544,0.018550938,0.018158646,0.017732954,0.017273946,0.01679,0.01631964,0.015878553,0.015458729,0.015002766,0.014492579,0.013948396,0.013455759,0.013065358,0.012791575,0.012562905,0.012320654,0.012035505,0.011782065,0.011653755]