[0.0016793383,0.0046192915,0.0133766085,0.029059777,0.049584966,0.067996144,0.07651032,0.0711031,0.05613379,0.042175766,0.04277547,0.066980936,0.11475954,0.17365676,0.22456019,0.25087464,0.24786933,0.22347765,0.19294693,0.17020266,0.16221862,0.16796923,0.18249214,0.20090169,0.21979159,0.23575802,0.24535315,0.24701287,0.24205111,0.23349641,0.22364275,0.21373671,0.20425911,0.19514072,0.18544875,0.17473151,0.16540283,0.16329236,0.17325468,0.19398041,0.21615465,0.22963725,0.23048766,0.22490604,0.22222735,0.22839642,0.24124879,0.25479168,0.26342925,0.26541987,0.26160386,0.25399515,0.24399,0.23171036,0.21606089,0.19708468,0.17847289,0.16656952,0.16568671,0.17313266,0.18157637,0.18393336,0.17882073,0.16761656,0.15186058,0.13078065,0.105043046,0.0786364,0.05827753,0.049239486,0.052145947,0.06356601,0.07836523,0.09337888,0.10823974,0.12479687,0.14223354,0.15487032,0.15393537,0.13654125,0.11110302,0.09424671,0.099660665,0.1283338,0.16909547,0.20529322,0.22485183,0.22448246,0.21052305,0.19392578,0.18362875,0.18181823,0.18400355,0.18472631,0.18144764,0.17605811,0.1715041,0.17000867,0.17149086,0.17506592,0.17959745,0.18519707,0.19165426,0.19815564,0.20173661,0.20020086,0.1932366,0.18445401,0.17864943,0.17895325,0.18411826,0.18941928,0.1914409,0.19161677,0.19598813,0.20800637,0.22344114,0.23124713,0.22292084,0.19922008,0.17017995,0.14731325,0.13727565,0.13904591,0.14626859,0.15224373,0.15504272,0.15975583,0.1723013,0.19386299,0.2164758,0.23040164,0.22876345,0.21346958,0.19149776,0.17076737,0.15410167,0.1386544,0.12265726,0.11041808,0.112948895,0.13646968,0.17684199,0.21887554,0.24872325,0.25995114,0.2562113,0.24426848,0.23135622,0.22332804,0.22561647,0.24013652,0.26239997,0.28121224,0.2849498,0.2688841,0.2386757,0.20579354,0.18022697,0.16567488,0.16016221,0.15905659,0.15737034,0.15103687,0.13788259,0.11843573,0.09550191,0.0727045,0.053050708,0.03830951,0.028879931,0.023988074,0.022030398,0.021385385,0.020884344,0.020075396,0.01943197,0.020954194,0.028006932,0.042629283,0.06191087,0.07760715,0.08141541,0.07186628,0.055419628,0.041657522,0.03641677,0.03978485,0.047358025,0.054333,0.059145585,0.06606876,0.08314234,0.11569914,0.16014868,0.20419793,0.23467605,0.24557813,0.24040379,0.22732301,0.21370196,0.20328163,0.19678695,0.19290362,0.18911497,0.18230139,0.16996258,0.1510189,0.12686114,0.10175743,0.083574496,0.08195377,0.10415266,0.14895642,0.20477329,0.25418767,0.28347585,0.28882265,0.27595487,0.25414345,0.23138238,0.21226828,0.19916825,0.193199,0.19441916,0.20097595,0.20901005,0.21482734,0.21680506,0.21610141,0.21411186,0.21055754,0.20240553,0.18644272,0.1629891,0.13831277,0.122051746,0.12035525,0.13183428,0.14857341,0.16322641,0.17315008,0.18147476,0.19325973,0.21161039,0.23518462,0.25772384,0.27260172,0.27616838,0.27129093,0.26293117,0.2552301,0.24776591,0.23833619,0.2254463,0.21083575,0.19870587,0.19206981,0.19027664,0.18829976,0.18165295,0.1698042,0.1575132,0.15006483,0.14970587,0.1545289,0.16211562,0.17147155,0.18284117,0.19479351,0.20386289,0.20553733,0.19664226,0.17714703,0.1514918,0.12828393,0.11510999,0.11443884,0.121625505,0.13172211,0.14184688,0.15264015,0.16224444,0.1680379,0.16768663,0.16384411,0.16101325,0.16325803,0.17138891,0.18580109,0.20721163,0.23590386,0.26736498,0.29388085,0.30756792,0.3074093,0.29705688,0.28352436,0.26943475,0.25579807,0.24182333,0.23096626,0.22602142,0.22732745,0.22890522,0.22523683,0.21580963,0.20763238,0.2080968,0.21836342,0.23049577,0.23286647,0.22002614,0.1986726,0.18698907,0.20057426,0.24183138,0.2947167,0.3388557,0.36106613,0.36216983,0.34921014,0.3292712,0.306648,0.2839701,0.26233485,0.24157806,0.22230797,0.20714165,0.1979041,0.19169582,0.18325597,0.17234612,0.1694429,0.18732546,0.22932108,0.28172016,0.3239952,0.34092978,0.331149,0.30310076,0.26892316,0.23785551,0.21301877,0.19278435,0.176373,0.16958566,0.18088557,0.21253096,0.2540572,0.28926268,0.30626285,0.30407706,0.288439,0.26732942,0.24748148,0.2342513,0.22958784,0.23134404,0.23425923,0.23348422,0.226488,0.21304737,0.19490708,0.17633337,0.16494589,0.16736801,0.1848756,0.20959727,0.23046416,0.23873134,0.2331528,0.21660964,0.19317709,0.16517186,0.13468894,0.10435458,0.07832235,0.060876954,0.05597214,0.06567674,0.088782966,0.11946869,0.14858337,0.1686395,0.17705692,0.17644584,0.16968583,0.15878133,0.14543408,0.13444193,0.13108696,0.13752139,0.14970255,0.1612397,0.16851455,0.17351663,0.18117201,0.19521548,0.2152343,0.23718035,0.25546706,0.26650238,0.2699132,0.2683531,0.264891,0.26193467,0.2603643,0.26001167,0.2592917,0.2560778,0.24869706,0.23793341,0.22764044,0.22377259,0.23134337,0.25124803,0.27917436,0.30707046,0.32648042,0.3315461,0.3214334,0.30126002,0.28116646,0.27139166,0.2762128,0.2899436,0.30100855,0.29955804,0.28445843,0.26152787,0.23731394,0.21293753,0.18545628,0.15495145,0.12941027,0.122490406,0.14167547,0.18095581,0.22040534,0.24068941,0.23435004,0.21251161,0.19394529,0.19304644,0.208521,0.2283768,0.24186248,0.25217625,0.2770069,0.33219388,0.41862264,0.5147501,0.5963304,0.6464112,0.666423,0.6624283,0.64218044,0.6091352,0.5667451,0.518347,0.46711227,0.416387,0.36813685,0.3234634,0.28190026,0.24360587,0.2104242,0.18542735,0.17040871,0.1635154,0.159695,0.15394185,0.14440177,0.1335644,0.12562259,0.12334869,0.12561901,0.12865545,0.12875907,0.12461422,0.116834156,0.10624313,0.09313529,0.07805323,0.06403215,0.057100218,0.065693095,0.09403312,0.13711052,0.17784302,0.198135,0.19128026,0.17089526,0.16098915,0.17860633,0.21957219,0.26182687,0.28192368,0.27099243,0.23916827,0.20593423,0.18704922,0.18613641,0.19636172,0.20805867,0.21505524,0.21653207,0.21417958,0.21082497,0.20880093,0.20970593,0.2123081,0.21343535,0.20975798,0.20091885,0.18921717,0.17836642,0.17171444,0.17281508,0.18452466,0.20666873,0.23261015,0.25101128,0.2536206,0.24337558,0.23456495,0.2406971,0.2625787,0.28491566,0.2896485,0.26975936,0.23581266,0.20598292,0.19317238,0.19705427,0.20842266,0.21819453,0.22365397,0.22686352,0.22899282,0.22704469,0.21614386,0.19522159,0.16969158,0.14989518,0.14490418,0.15765536,0.18249835,0.21003795,0.23489694,0.26248023,0.30528855,0.37182227,0.4558618,0.5382451,0.59884816,0.62880015,0.6321664,0.61873335,0.59620607,0.568008,0.535423,0.5001319,0.46450162,0.43078342,0.39995003,0.37177265,0.3452054,0.31943,0.29422966,0.27016366,0.24790601,0.22776139,0.20941031,0.19226618,0.17586903,0.16004568,0.14502136,0.13134328,0.11974171,0.110599786,0.10374903,0.09851975,0.09417826,0.09009549,0.08586994,0.08128483,0.07669489,0.07284708,0.070678644,0.06956446,0.0675284,0.061741233,0.052156385,0.041679267,0.03567357,0.03740852,0.046480518,0.05815761,0.066878945,0.07002393,0.07077323,0.077447556,0.09741789,0.13166939,0.17163247,0.20570402,0.22545223,0.23075867,0.22632682,0.21817453,0.21039678,0.20488979,0.2014481,0.19806357,0.19268127,0.18441181,0.1743431,0.16442084,0.1566273,0.15254685,0.15311165,0.15942489,0.17317551,0.197739,0.23350094,0.27455783,0.30645385,0.31677762,0.30243155,0.2745138,0.24778426,0.23392902,0.23515315,0.24768125,0.2631491,0.27259955,0.26828405,0.24827082,0.2177713,0.1895309,0.17561273,0.18147616,0.20075782,0.22364706,0.2430859,0.25919223,0.27205038,0.27854505,0.27250516,0.25106165,0.21829188,0.18715961,0.17784959,0.20922816,0.28660238,0.39318284,0.49816594,0.5741681,0.61157656,0.61730856,0.6045099,0.5829385,0.55720747,0.5279241,0.49456716,0.4559799,0.41251898,0.36620775,0.32054245,0.27926505,0.24499184,0.21953475,0.20248927,0.1924545,0.18684638,0.18432365,0.18378298,0.18451597,0.1856349,0.18717901,0.18913388,0.18976401,0.1857291,0.17491777,0.15882717,0.14146562,0.12643783,0.11636218,0.113598496,0.12068524,0.137514,0.15980498,0.17989038,0.19046678,0.18787694,0.17342351,0.15412213,0.14137627,0.14725178,0.17672724,0.2225668,0.26794437,0.29702115,0.30450252,0.297672,0.28920957,0.28914618,0.29872856,0.31261477,0.3227625,0.32432747,0.3165176,0.30243334,0.2866079,0.27307773,0.26443815,0.26266405,0.2709113,0.29092756,0.31964123,0.34719396,0.3632896,0.36281827,0.34814033,0.3240396,0.2946473,0.26230893,0.22948699,0.19923495,0.17586035,0.16435568,0.16699423,0.17948397,0.19060491,0.19044155,0.17789431,0.16101085,0.14876454,0.14491487,0.1505465,0.1662944,0.19216686,0.2210183,0.24255876,0.24860366,0.2413248,0.22871797,0.21971011,0.21759443,0.22114426,0.22642075,0.23008983,0.23059571,0.22965847,0.23353015,0.2538397,0.3031151,0.38567194,0.48862216,0.5841397,0.64335996,0.6521919,0.61652213,0.55534565,0.49038002,0.4380089,0.40544918,0.38937736,0.37973228,0.3649437,0.33928204,0.30381355,0.2665322,0.23518325,0.21476875,0.20476787,0.20373744,0.20921546,0.21771324,0.22266519,0.21890825,0.20677488,0.19305132,0.18459927,0.18264812,0.18219525,0.17762621,0.16814601,0.15884598,0.15614142,0.16270967,0.17496057,0.18652041,0.1925584,0.19257319,0.18861149,0.18268238,0.17570828,0.16816622,0.16130811,0.15672773,0.15529789,0.15578979,0.15552811,0.15230899,0.14699756,0.14351797,0.14747636,0.16197672,0.18576093,0.21222152,0.23402488,0.24651863,0.25048834,0.24894722,0.24448216,0.23732913,0.22767484,0.2177484,0.21304055,0.21961354,0.23968606,0.2675327,0.29048035,0.29505822,0.27537525,0.23679732,0.19274767,0.15581073,0.13130851,0.11718786,0.11115351,0.11688185,0.14284979,0.192573,0.25540268,0.30781838,0.3277407,0.30919364,0.2670003,0.22502609,0.20186166,0.20092756,0.21405818,0.2292804,0.2387776,0.240187,0.23466925,0.22406079,0.20969725,0.19325401,0.17846401,0.17224814,0.18158023,0.20770288,0.24276058,0.275751,0.30379704,0.3384581,0.39634976,0.4819307,0.57696277,0.6504182,0.67871565,0.6593206,0.6073465,0.542258,0.47835708,0.42228055,0.37536108,0.33653235,0.30495468,0.28155538,0.26667285,0.2570608,0.245504,0.22680466,0.20313798,0.18333165,0.1741597,0.1738189,0.17415118,0.17063673,0.16909488,0.1805992,0.20959993,0.2455945,0.2695097,0.2669045,0.23937021,0.2019105,0.17262709,0.1592675,0.15650207,0.15233028,0.14232606,0.13491292,0.14466137,0.17750078,0.22341229,0.2635685,0.28329924,0.280581,0.2619767,0.23508488,0.20331955,0.1682259,0.13419877,0.112521626,0.12077695,0.17472713,0.27630165,0.40538266,0.52757007,0.61052966,0.6403396,0.6223156,0.5764661,0.5265952,0.49574983,0.49611023,0.5263345,0.5698271,0.6050801,0.61464953,0.5916541,0.54036313,0.47260416,0.40473542,0.35033178,0.3168834,0.30229434,0.2986606,0.2963433,0.29099533,0.2853541,0.28458217,0.28902215,0.29064217,0.2814293,0.25940248,0.23193435,0.20671451,0.1873386,0.17072707,0.15293717,0.13384144,0.12006289,0.120955996,0.14047383,0.17161585,0.19933356,0.21134299,0.2051153,0.18842287,0.17102005,0.159986,0.15622248,0.15816104,0.16599096,0.18601842,0.2298348,0.30327103,0.40020466,0.49861073,0.5762727,0.6159758,0.61412257,0.5720359,0.49977076,0.41205177,0.32876834,0.26394603,0.22160031,0.19540672,0.17665637,0.1590609,0.14075848,0.123644345,0.11365989,0.11973675,0.14808013,0.1952887,0.24600065,0.282683,0.29743943,0.29852226,0.3001257,0.31107596,0.32695374,0.33827636,0.33741748,0.3244058,0.30213073,0.27437797,0.24401955,0.21545279,0.19403231,0.18474399,0.18910779,0.20330632,0.21903728,0.22701417,0.22245258,0.20637135,0.18392505,0.16039257,0.13976406,0.12506506,0.11748766,0.11844953,0.13169706,0.16915353,0.24267612,0.3526604,0.47315297,0.56549716,0.5997953,0.57936794,0.5317984,0.49013755,0.47210327,0.4812088,0.512374,0.55570346,0.5948572,0.6109949,0.59347355,0.5471172,0.48871222,0.4351308,0.3951091,0.3681078,0.3494462,0.33417606,0.31994587,0.30664742,0.29630312,0.29100016,0.2902258,0.28908154,0.27914676,0.25572833,0.22252047,0.1940191,0.18619609,0.20735799,0.25050995,0.2982671,0.33396995,0.3509119,0.35249534,0.34414303,0.32807708,0.30385482,0.27312878,0.24172626,0.2169199,0.20305665,0.19835405,0.19589077,0.18923672,0.18033786,0.18463582,0.22370106,0.3092153,0.4270576,0.5435791,0.62273955,0.6504807,0.630837,0.58275485,0.5202436,0.45930326,0.40812597,0.37431386,0.35428134,0.34183502,0.32910466,0.31369433,0.29645216,0.2797036,0.2664684,0.25994694,0.2626152,0.2730199,0.28584966,0.29530585,0.29917192,0.29960725,0.2970917,0.28783205,0.26443014,0.22652656,0.1825214,0.14668633,0.12736633,0.124729395,0.13294856,0.14600866,0.15980911,0.17225094,0.18329029,0.1930242,0.20057066,0.2033688,0.19999212,0.19168405,0.18244052,0.1761015,0.17427279,0.17575336,0.17774601,0.18056156,0.1901593,0.22132468,0.28467092,0.37896827,0.4794855,0.55896777,0.59725595,0.59750915,0.56925267,0.5279285,0.48814332,0.46860337,0.4805583,0.519247,0.56456155,0.59386635,0.5943851,0.56461066,0.5107571,0.44415793,0.37932456,0.32866362,0.29555917,0.2734445,0.25307545,0.23090847,0.212246,0.20476413,0.21014321,0.22019683,0.2232656,0.21421766,0.19769223,0.18288136,0.17482425,0.17297506,0.17392485,0.1760545,0.1792711,0.18332218,0.18510634,0.1796227,0.16303937,0.1368006,0.108158074,0.08670234,0.07954527,0.08758042,0.10594807,0.12586845,0.14135551,0.15343224,0.17576171,0.22668375,0.32074526,0.4500223,0.5866299,0.6893452,0.7310428,0.7076157,0.64224046,0.5661067,0.5052037,0.467708,0.44832695,0.43497196,0.41856208,0.39479312,0.36446354,0.33060268,0.2975044,0.26859647,0.2458837,0.22928464,0.21718054,0.2067772,0.19670291,0.18827547,0.1858083,0.19007184,0.19641398,0.19491087,0.18124412,0.15834661,0.13552551,0.1181106,0.10660472,0.09789724,0.09058917,0.08549727,0.08432873,0.08800969,0.09423529,0.09871244,0.096270084,0.086724006,0.07417787,0.06596527,0.065396376,0.071358345,0.07836168,0.08276399,0.087361425,0.10499003,0.154474,0.24578226,0.36891016,0.49314857,0.5888725,0.64145356,0.65485126,0.6374739,0.5994711,0.55589104,0.52766746,0.5279781,0.54927224,0.5682422,0.5656207,0.53911954,0.49750587,0.44733128,0.39023185,0.3298756,0.27537218,0.23484069,0.20883246,0.19337021,0.18762964,0.19700398,0.2244302,0.26398513,0.30017352,0.32002556,0.31887615,0.30185854,0.27670628,0.25108582,0.23127909,0.22061725,0.21886937,0.2224638,0.22965018,0.24039726,0.2553592,0.27163434,0.28460613,0.28981188,0.2861018,0.27515456,0.260445,0.24524741,0.23041816,0.21707463,0.21007796,0.22470947,0.27756134,0.37497103,0.4949958,0.6001792,0.65448576,0.6517918,0.6073549,0.54856515,0.4915478,0.44465575,0.40705857,0.37782955,0.3537151,0.3327889,0.31316733,0.29468644,0.27730328,0.26194337,0.24956475,0.24098027,0.2343344,0.22578138,0.21176605,0.19468923,0.182539,0.18459201,0.20072116,0.2203991,0.22707973,0.2126909,0.1816815,0.14902888,0.12772372,0.12156057,0.12419582,0.12613663,0.12327989,0.12000985,0.124335885,0.13919173,0.15717614,0.16677839,0.16128336,0.14605641,0.13320065,0.13307846,0.14617915,0.16385533,0.17602237,0.18167166,0.19488652,0.23725872,0.31980512,0.4281322,0.5273487,0.58597445,0.5960224,0.572901,0.53857654,0.50822294,0.49217805,0.49725476,0.5256769,0.56476897,0.59437275,0.59707785,0.5712578,0.52612346,0.47325912,0.42115903,0.3765997,0.34536657,0.32789767,0.3159281,0.2985946,0.27184507,0.24525963,0.2318417,0.23746647,0.25234723,0.26144648,0.25416774,0.23362334,0.211545,0.20054962,0.2045452,0.21720219,0.22863346,0.2349608,0.24227202,0.25930193,0.2885244,0.32211134,0.34849763,0.35856763,0.35022974,0.32703558,0.2971289,0.26926306,0.24890266,0.23818557,0.24027608,0.26562378,0.32476425,0.42057762,0.5363028,0.645787,0.7191186,0.7408719,0.7103514,0.6472077,0.57806987,0.5265692,0.500182,0.49237338,0.48987302,0.4822149,0.46464095,0.43767416,0.40490258,0.37132713,0.34141126,0.31730756,0.29860938,0.2834413,0.27106142,0.2625795,0.26027992,0.26381817,0.26868203,0.26732227,0.25496402,0.23312545,0.2086757,0.18844157,0.17513515,0.1672054,0.161404,0.1552937,0.14860107,0.14309883,0.14138426,0.1448698,0.15228474,0.16051145,0.16641259,0.16875748,0.16762358,0.16311856,0.15543151,0.1459316,0.1397946,0.14533496,0.17452288,0.23588102,0.3286699,0.4329218,0.5183447,0.5582798,0.55065745,0.51494044,0.4800869,0.46542004,0.47769412,0.5110219,0.55228275,0.581366,0.5821172,0.5483972,0.4913067,0.42849198,0.377017,0.34438542,0.33090928,0.33068278,0.3339908,0.33016527,0.31367183,0.28986463,0.2736862,0.278542,0.30578423,0.34171483,0.36848757,0.37442634,0.35917914,0.33015016,0.29714248,0.2690532,0.24977207,0.2392299,0.23476756,0.23609418,0.24379028,0.2566264,0.26911047,0.2744149,0.26847515,0.25250754,0.23135744,0.21111023,0.19546998,0.18597908,0.1844744,0.19761984,0.23665397,0.3074568,0.40188017,0.49660853,0.5682902,0.60584193,0.612355,0.59807736,0.57113886,0.53978306,0.50823396,0.4815246,0.45951617,0.44315603,0.43053448,0.42041025,0.40901092,0.39310348,0.37144434,0.34554732,0.31892064,0.29369244,0.27089983,0.25113305,0.2368776,0.23236646,0.23845272,0.25008133,0.2551154,0.244806,0.21887994,0.18806708,0.16361564,0.15081276,0.14669836,0.14564617,0.1442372,0.1420175,0.13986982,0.13695838,0.13106845,0.119434945,0.10212352,0.08219909,0.06522643,0.05542301,0.053976282,0.058420327,0.06486953,0.07268706,0.08793674,0.12592493,0.19958441,0.30982205,0.43398848,0.5425603,0.6108882,0.636666,0.6290168,0.60522366,0.57978874,0.5651417,0.5666354,0.5808804,0.5991726,0.6110186,0.610673,0.5936899,0.5599524,0.5122271,0.4603715,0.41445458,0.38039652,0.35498318,0.3318031,0.30764154,0.28757557,0.2811744,0.29335776,0.31854513,0.34284985,0.35540107,0.35385022,0.34351182,0.3295537,0.3147696,0.30031243,0.28732416,0.27628592,0.26678708,0.26005134,0.25925013,0.26722822,0.28132668,0.29375538,0.29530823,0.28154483,0.25530058,0.22601296,0.20647955,0.20620744,0.2285393,0.2707977,0.33073324,0.40569305,0.4878355,0.5595979,0.6011092,0.6029776,0.5724211,0.5280382,0.4872776,0.4594569,0.44304502,0.43203667,0.4198899,0.4051776,0.38856837,0.37118766,0.35185966,0.33050704,0.31065276,0.29907382,0.3000534,0.31141782,0.3254468,0.33678415,0.34510636,0.35351095,0.35951507,0.35559532,0.3335426,0.29498658,0.25037894,0.21342893,0.19061716,0.17968398,0.17342345,0.1674755,0.16375566,0.16718572,0.17888846,0.19218378,0.19842012,0.19457598,0.18691021,0.18317138,0.1870439,0.19597499,0.20637167,0.21439804,0.21670575,0.21323077,0.2124811,0.23353024,0.29351544,0.39393732,0.5123325,0.61688083,0.6836603,0.70717716,0.6938069,0.6545181,0.6042711,0.56249887,0.54620767,0.5584081,0.585818,0.60954785,0.6172618,0.60581094,0.5757592,0.52877575,0.4709305,0.41369903,0.36807534,0.3366145,0.3146212,0.2980462,0.29036507,0.2977375,0.32157055,0.3528985,0.3786277,0.38792217,0.37839332,0.3552409,0.3284442,0.3080567,0.2977421,0.29313603,0.28396904,0.26434913,0.2370588,0.21241315,0.19786887,0.19370313,0.19467902,0.19806983,0.20630991,0.22383551,0.2511424,0.28262755,0.31102717,0.33418444,0.35952458,0.39894453,0.45871508,0.53041834,0.5947681,0.63367414,0.64109915,0.6239856,0.5931787,0.5585111,0.5247804,0.49592817,0.4732239,0.45682883,0.44425365,0.43197933,0.4172661,0.39852226,0.37670067,0.3534685,0.33162344,0.31274962,0.29714477,0.283198,0.27015403,0.25915834,0.25373068,0.25344583,0.2528699,0.24143402,0.21545182,0.17975996,0.14759956,0.12757902,0.121241234,0.12276349,0.12650186,0.12922053,0.1307136,0.13140416,0.1301594,0.12421289,0.11083042,0.091561474,0.07272021,0.06373306,0.07024702,0.09120905,0.11816306,0.14248435,0.1625417,0.18851888,0.23728152,0.31812683,0.42161664,0.52084154,0.58972865,0.6178431,0.6127867,0.589276,0.56138587,0.54070765,0.5355783,0.5481194,0.5713868,0.5941284,0.60575885,0.60195065,0.58297795,0.5531342,0.51804525,0.48273197,0.45002672,0.41950345,0.39021373,0.36208156,0.33766964,0.32085106,0.3129301,0.31011987,0.3030628,0.284888,0.25512764,0.22105294,0.18936978,0.16331995,0.14187773,0.124337055,0.111250944,0.105307244,0.11074609,0.13233963,0.17111175,0.21997273,0.26431093,0.2902771,0.29372317,0.28207967,0.26606384,0.25160658,0.23758118,0.22379123,0.21749854,0.23568495,0.29181573,0.3816012,0.47404018,0.5304052,0.53035337,0.49082354,0.44982174,0.43800554,0.456941,0.48597154,0.50270087,0.4994144,0.48348317,0.46603072,0.4524227,0.43992785,0.42354617,0.4020361,0.38015762,0.36553666,0.36201724,0.36604667,0.36724475,0.35740986,0.3359864,0.31177446,0.29171655,0.27578437,0.25583804,0.22867642,0.20021886,0.18505573,0.19307566,0.22340536,0.2634345,0.298808,0.32081643,0.32861134,0.3247085,0.3115522,0.2925657,0.27285215,0.2571101,0.24483226,0.23194216,0.21497767,0.19632821,0.18048544,0.17181194,0.17292677,0.19137992,0.23808031,0.3202949,0.43010053,0.5451811,0.6407747,0.7005097,0.7197576,0.70102066,0.6554213,0.6024582,0.5655429,0.558304,0.5779304,0.6091295,0.6373563,0.65282875,0.65021735,0.62404174,0.5743375,0.5085807,0.44101307,0.3834295,0.3402911,0.3101548,0.2904401,0.28096986,0.27886108,0.2777207,0.2678398,0.248015,0.22586028,0.21388073,0.21501839,0.22225498,0.22527182,0.22163486,0.21668667,0.21736269,0.22595312,0.24028094,0.25618124,0.26943412,0.27646196,0.27527615,0.2674971,0.25708696,0.24884908,0.24377282,0.2395637,0.23377246,0.23163761,0.24909532,0.30277315,0.39426264,0.5004862,0.58740896,0.63183516,0.63324577,0.6074547,0.5701652,0.53185326,0.496164,0.4661571,0.44292304,0.42648157,0.41440716,0.40315068,0.38981116,0.37274465,0.3522805,0.3300382,0.30831468,0.2887452,0.27054593,0.25215963,0.2336573,0.22000144,0.21695085,0.22540201,0.23724996,0.24132633,0.2317609,0.21206838,0.1903699,0.17268603,0.16047676,0.15261292,0.14810695,0.14647026,0.14709221,0.14778593,0.14525497,0.13606109,0.12003172,0.101700105,0.09003507,0.09365815,0.11495018,0.14645362,0.17341112,0.18413867,0.18084265,0.18440767,0.22237305,0.30876735,0.42745498,0.53941244,0.60697156,0.6182704,0.5885959,0.54558235,0.511126,0.50048566,0.5202537,0.56964993,0.6283059,0.6678231,0.6638589,0.6181819,0.54844356,0.47612274,0.41085163,0.35778776,0.31980965,0.29908046,0.28940514,0.2821783,0.27256456,0.2668885,0.2725199,0.29019308,0.30719563,0.3105662,0.2947797,0.26914933,0.24600196,0.23522049,0.2374531,0.24933225,0.26440158,0.27647617,0.27950904,0.2707999,0.25307146,0.23517537,0.22786598,0.23617952,0.2550143,0.2703377,0.27058104,0.25375533,0.23037969,0.21393599,0.2166418,0.2475601,0.31207985,0.40708712,0.51448107,0.6096246,0.6699993,0.6867551,0.6603453,0.6002255,0.5209859,0.4412528,0.37706494,0.33684942,0.32107732,0.32449153,0.3379971,0.34908876,0.34634838,0.32600597,0.2957222,0.26924384,0.25687826,0.25879142,0.2678201,0.27652636,0.28392294,0.29349318,0.3083532,0.3247617,0.33499226,0.33213508,0.3164445,0.29284385,0.26697993,0.24149431,0.21718292,0.19493832,0.17575254,0.16136654,0.15332462,0.15394132,0.16229552,0.17474316,0.18518855,0.19124548,0.19350688,0.19429086,0.19387384,0.19361848,0.19839515,0.21756954,0.26051918,0.33041385,0.41752765,0.49740085,0.54213494,0.5388493,0.5021948,0.46237084,0.44396937,0.45202696,0.47985873,0.5190229,0.56035703,0.5884505,0.5846462,0.54184693,0.4725748,0.40250242,0.35223368,0.32781088,0.32309172,0.32865396,0.33719942,0.343742,0.34583893,0.34318778,0.33904457,0.3363057,0.33620963,0.3343784,0.32561705,0.30537307,0.27607015,0.24479066,0.22180761,0.21267414,0.21594882,0.22380883,0.22844595,0.2260846,0.2179486,0.20852274,0.20381652,0.20964731,0.22880054,0.2591572,0.2937756,0.32495502,0.34755215,0.3616964,0.37173793,0.38605466,0.41365325,0.45904002,0.5159522,0.5667682,0.5931721,0.5856766,0.5511794,0.50231725,0.45362926,0.41164768,0.38162842,0.36337233,0.35630226,0.35553494,0.35650906,0.35492954,0.34911147,0.34016752,0.33116198,0.32639375,0.32727802,0.33178684,0.33410943,0.33076534,0.32301238,0.31764933,0.3203127,0.3316349,0.34566924,0.35572255,0.35813597,0.35432258,0.3470402,0.33788702,0.32604408,0.30949715,0.287223,0.25987378,0.23135753,0.20534395,0.1839834,0.16407686,0.14243127,0.118987165,0.101341166,0.098879546,0.11683833,0.15086365,0.18963818,0.22288156,0.24931027,0.2811165,0.3337666,0.41298017,0.5012334,0.5692607,0.594623,0.57944447,0.54337907,0.5083141,0.48842785,0.49141178,0.5185066,0.561003,0.5978439,0.6103561,0.5919917,0.5539569,0.5091594,0.4658409,0.4256349,0.3902588,0.36152372,0.33714458,0.31278506,0.28663823,0.26494375,0.25666857,0.26541102,0.28430808,0.30054656,0.3048735,0.2964131,0.2801581,0.2605237,0.23906934,0.2163887,0.19442986,0.17639953,0.16506617,0.16165048,0.16514958,0.171862,0.17603858,0.17241411,0.15976827,0.14257225,0.12766945,0.11946265,0.11604535,0.114287674,0.116184294,0.13545763,0.18995751,0.29026422,0.42647806,0.5705645,0.6876201,0.7515723,0.755291,0.71124506,0.64516926,0.58180434,0.5346856,0.5039751,0.4847524,0.4746654,0.47362474,0.47941396,0.4849502,0.48299754,0.4702133,0.44900373,0.42364097,0.3974248,0.37110075,0.3450899,0.32166752,0.30584773,0.30047485,0.30260077,0.30215415,0.29133913,0.26942042,0.2444303,0.22318445,0.2069084,0.19058006,0.16988988,0.14541726,0.122990035,0.11018151,0.11169832,0.12666152,0.14820398,0.16713913,0.17698373,0.17774369,0.17427422,0.17153579,0.17009483,0.16724868,0.16300397,0.16685605,0.1963538,0.2634827,0.35709056,0.4434917,0.4895009,0.49296686,0.48161566,0.48797894,0.5185709,0.55938673,0.59285796,0.61526287,0.623286,0.6102417,0.56538004,0.49724415,0.42947742,0.39019868,0.38514444,0.40020797,0.41319528,0.4120988,0.39649892,0.3731011,0.3504366,0.33781946,0.34097973,0.3581145,0.37703025,0.38376832,0.37072703,0.3424867,0.30859405,0.27704507,0.25093523,0.23401374,0.2313441,0.24641977,0.2733952,0.29998767,0.31276563,0.306963,0.285509,0.25778553,0.23198646,0.21339393,0.20088805,0.19106025,0.17988361,0.16898465,0.16618259,0.18822487,0.25033876,0.35509756,0.47855535,0.58225256,0.6326749,0.62247473,0.56473655,0.48124206,0.3914356,0.31338856,0.2612985,0.24018966,0.24165313,0.25009203,0.2522118,0.24411272,0.22907692,0.21276367,0.19874291,0.18785568,0.17946886,0.17222239,0.1652294,0.15935664,0.15865053,0.17002745,0.19642954,0.23332632,0.26628315,0.28334188,0.28044656,0.26578054,0.24839823,0.23240155,0.21494488,0.19254641,0.16728239,0.1457365,0.13614132,0.14085914,0.15627629,0.1731032,0.18391323,0.18604767,0.18327141,0.18027692,0.17944568,0.17957552,0.17987938,0.18405153,0.20277734,0.24976774,0.33092725,0.43335542,0.52667016,0.5805227,0.5834877,0.5466784,0.49191487,0.4400282,0.40945193,0.41435686,0.45861855,0.5259493,0.58742696,0.6162708,0.60425043,0.5580656,0.490901,0.41368747,0.33738598,0.27305406,0.22889821,0.20398486,0.1910067,0.18409926,0.18752308,0.20829625,0.24604504,0.28421673,0.3037167,0.29558787,0.26947334,0.24151953,0.22386296,0.21890098,0.22387707,0.23518787,0.24938901,0.26263407,0.27023014,0.26844278,0.2556945,0.23434432,0.2098438,0.18986349,0.1803763,0.18463393,0.20012015,0.21970415,0.23431994,0.24237889,0.257414,0.30008206,0.38124657,0.48227206,0.56794006,0.6056809,0.59052014,0.53650206,0.466247,0.3959558,0.33647904,0.29336572,0.2681581,0.258617,0.260143,0.26789117,0.27742514,0.2852565,0.28842476,0.28460112,0.27231836,0.25265732,0.22977395,0.21026933,0.2003901,0.20361085,0.21886224,0.23973453,0.25664845,0.26102945,0.25149605,0.23367882,0.21648456,0.20454375,0.19744523,0.19114332,0.18308942,0.17357217,0.16671586,0.16818702,0.18175472,0.2058773,0.23243064,0.2513279,0.2552223,0.24495487,0.22748865,0.21259327,0.205646,0.20656663,0.21135493,0.21833853,0.22927536,0.24741583,0.271759,0.2962565,0.31147453,0.31020907,0.29035807,0.25680307,0.21881576,0.1864299,0.16616738,0.15908478,0.16113287,0.16464227,0.16171896,0.14816646,0.12708248,0.10828536,0.10238693,0.11443106,0.1393903,0.16614985,0.18208136,0.18217164,0.17088388,0.16292727,0.17162792,0.20081753,0.23859274,0.26790407,0.27660784,0.26594943,0.24520521,0.22538753,0.21348892,0.2118081,0.21760225,0.2228155,0.2173264,0.19543655,0.16194458,0.13089854,0.11617995,0.1223185,0.14160478,0.16139178,0.17230876,0.17253006,0.16536745,0.15747948,0.16041827,0.1917421,0.26549864,0.3774164,0.49811244,0.58908725,0.627084,0.61605525,0.57774854,0.53335625,0.49493906,0.4655436,0.44443583,0.4294417,0.41841254,0.40997943,0.4033004,0.3975173,0.3918501,0.3858341,0.3811772,0.3795203,0.38158694,0.38407838,0.38312435,0.3771002,0.36925593,0.36389673,0.36186495,0.3591137,0.35100898,0.33654848,0.31926796,0.30259347,0.2875315,0.27206397,0.25645486,0.2439791,0.23988359,0.24406703,0.24975574,0.2474147,0.2339864,0.2168988,0.2080794,0.21473539,0.23293822,0.25220084,0.2613921,0.25436702,0.2323683,0.2072113,0.20192365,0.2390195,0.32495067,0.43868113,0.5448999,0.61314017,0.634715,0.6185337,0.5824426,0.54511756,0.52311355,0.5265921,0.5528252,0.5871853,0.6121278,0.61803436,0.60559934,0.58019537,0.5482145,0.5156304,0.48800552,0.46704507,0.44902584,0.4266472,0.3948427,0.35614648,0.32218596,0.30548957,0.31033936,0.32637924,0.33849004,0.33553183,0.31766888,0.28964773,0.25741628,0.22477408,0.19534308,0.17172422,0.15591298,0.14933239,0.15287417,0.16474715,0.17944036,0.18992509,0.1920016,0.18685834,0.17885648,0.17209117,0.16714154,0.16328968,0.16299069,0.17689978,0.22047329,0.30215362,0.4134295,0.5294702,0.62449986,0.6817849,0.69800234,0.67685217,0.6295616,0.5727749,0.5249251,0.49653605,0.4859067,0.48341012,0.4796957,0.47082174,0.4570081,0.44025013,0.42279044,0.40715945,0.39456642,0.3831365,0.36772367,0.34496632,0.3179864,0.29780352,0.29355788,0.3050048,0.31866747,0.3206755,0.30498183,0.2789785,0.2538542,0.23845218,0.23410809,0.23705585,0.24175899,0.244071,0.24310327,0.23966497,0.23536313,0.23108216,0.22794408,0.22693658,0.22868325,0.23177488,0.23225953,0.22506315,0.20769195,0.185533,0.17280799,0.19054194,0.2531335,0.3588234,0.47957206,0.57703954,0.6189905,0.6037125,0.55322844,0.50156444,0.47237563,0.47600102,0.5107669,0.56634283,0.62436074,0.66105443,0.66073555,0.6240306,0.56927234,0.5177855,0.4826336,0.4628173,0.44975102,0.43447983,0.41357931,0.38918194,0.36662924,0.35051835,0.3411468,0.33412704,0.32305,0.30555984,0.2846562,0.2669588,0.2564473,0.25291243,0.25252616,0.25195947,0.2502435,0.24888884,0.24960609,0.2525928,0.2565436,0.2601521,0.26291418,0.26471528,0.26546368,0.26487973,0.26329672,0.26078537,0.259434,0.2644291,0.2866322,0.33565345,0.4115601,0.49807823,0.56975365,0.607667,0.608347,0.58389163,0.54757255,0.5104274,0.4759252,0.44681573,0.42269206,0.4037859,0.38923946,0.37851766,0.36958632,0.35976896,0.34834814,0.33802176,0.3337394,0.3366194,0.34285676,0.3438162,0.3354002,0.31993937,0.30852604,0.3088318,0.32141638,0.33508754,0.33905232,0.32651255,0.3001161,0.2648839,0.22753666,0.19323497,0.16718298,0.15326713,0.15316637,0.16484475,0.18211053,0.19761235,0.20607573,0.20742093,0.20510823,0.20436369,0.20911944,0.22122546,0.23875558,0.256854,0.27200064,0.28812942,0.31930006,0.37701383,0.4579588,0.5363426,0.58607036,0.59554213,0.57655,0.54492193,0.51347136,0.49197188,0.49046746,0.51391226,0.5496312,0.5779367,0.5828815,0.56728715,0.539555,0.50685793,0.4692289,0.42824885,0.38796803,0.3536102,0.3280246,0.31383908,0.31275687,0.325526,0.3464296,0.36620188,0.37313446,0.3620882,0.3349638,0.3011379,0.26982394,0.246329,0.2299074,0.21644574,0.20189464,0.18439732,0.16487777,0.14482997,0.12546532,0.106757544,0.0894715,0.075152084,0.06637453,0.0648061,0.06994685,0.078629486,0.08590078,0.09038967,0.097940154,0.12552905,0.19013147,0.29816332,0.42745557,0.5387816,0.5913301,0.5770268,0.51894325,0.459819,0.4274839,0.42607164,0.4396895,0.45203277,0.45590568,0.45295966,0.44732893,0.44071746,0.43316063,0.42405272,0.41368356,0.40145352,0.38605225,0.36557364,0.33965918,0.3107079,0.28350872,0.2640699,0.25375226,0.2486735,0.23903792,0.21982907,0.19197452,0.16362578,0.13996854,0.1224359,0.10817107,0.095217496,0.083118945,0.07310856,0.0664722,0.06310059,0.06094836,0.057018433,0.050470743,0.043798428,0.042410463,0.0497047,0.064760186,0.08098248,0.09244308,0.09938098,0.11326355,0.15118928,0.22397272,0.32547757,0.433863,0.5264923,0.5904126,0.62327474,0.6257043,0.6030279,0.56979185,0.5474308,0.5490615,0.5719889,0.6035777,0.6372862,0.6703086,0.6967957,0.70122176,0.6738717,0.6204818,0.56122994,0.5128918,0.47854924,0.45071456,0.42352524,0.39988306,0.38737395,0.3892701,0.39853647,0.40146074,0.3870294,0.3548306,0.3148353,0.27852494,0.25252312,0.2384382,0.2400947,0.26155245,0.30113843,0.34453356,0.37510467,0.38458744,0.37889493,0.36719227,0.35311076,0.33438778,0.3092074,0.2815493,0.2562984,0.23898931,0.23484035,0.2553651,0.3097443,0.397261,0.49488315,0.5734996,0.60919374,0.6051564,0.57453424,0.53785366,0.501247,0.47068253,0.44514585,0.4282572,0.41776034,0.41288474,0.4104564,0.41104424,0.4138361,0.41845584,0.4220283,0.42286548,0.4193243,0.41058257,0.39594436,0.37646,0.35682452,0.34314755,0.3386297,0.3402764,0.34129274,0.33742353,0.32834902,0.31666997,0.30304387,0.2873263,0.26832914,0.24577092,0.22002375,0.19474353,0.17672394,0.17285927,0.18388152,0.20339255,0.22255719,0.23766327,0.2513102,0.26741934,0.28536668,0.29909277,0.30304658,0.29819968,0.29660162,0.3151641,0.36569193,0.44105318,0.5189721,0.572988,0.59122753,0.5773093,0.5465458,0.51621467,0.50167537,0.511343,0.5420185,0.5798352,0.60774803,0.61420745,0.5979255,0.56413835,0.5223586,0.48088387,0.44603404,0.41980854,0.40068683,0.38571227,0.37261197,0.3633027,0.3628907,0.3751422,0.39634588,0.4133152,0.41228077,0.38739052,0.34731567,0.30748355,0.2815788,0.27269074,0.2754006,0.28114972,0.28523892,0.2891421,0.2971789,0.31116536,0.32505587,0.32854465,0.3134187,0.28229043,0.2463439,0.21806367,0.20133682,0.19155242,0.18518525,0.1897614,0.22521429,0.30632523,0.42770183,0.55536586,0.6492725,0.68306273,0.6627007,0.6129282,0.5635307,0.53071654,0.51724845,0.51550144,0.5165859,0.5146147,0.50875807,0.5016175,0.49705985,0.49738756,0.5021122,0.5079975,0.51132435,0.5098445,0.503512,0.49380362,0.48225006,0.46997938,0.45638108,0.43974307,0.41751918,0.38948146,0.35771337,0.3259916,0.2965386,0.26998124,0.24587649,0.22398412,0.20382892,0.18542857,0.17010938,0.16068095,0.15851493,0.16131514,0.16381733,0.16213341,0.15657918,0.15082215,0.148019,0.14856245,0.1504836,0.15358917,0.16287291,0.19100241,0.25066838,0.34426305,0.45168272,0.53929406,0.5777211,0.5652961,0.5252843,0.49062952,0.48156855,0.50228316,0.54432034,0.59358,0.6305926,0.63685346,0.6042881,0.5436241,0.47887972,0.4329777,0.41505745,0.41854814,0.4299072,0.43781725,0.43850005,0.4339464,0.42872784,0.42691264,0.42833605,0.42842975,0.41930214,0.39813802,0.36841154,0.33893418,0.3151701,0.29761282,0.28241983,0.26589903,0.24703233,0.22918989,0.21898806,0.2200702,0.22664921,0.22420682,0.20202,0.1643341,0.1301813,0.11755625,0.1310305,0.15948336,0.1887191,0.21198839,0.23553562,0.27286598,0.33434036,0.416797,0.5006397,0.5610006,0.58161783,0.56481,0.5249144,0.4793438,0.44039416,0.41474077,0.4038246,0.40386125,0.408772,0.4120367,0.4112843,0.40613076,0.39845693,0.3886901,0.37814534,0.36799458,0.3605698,0.3565761,0.35571173,0.35734355,0.36178195,0.36794457,0.37116098,0.36417806,0.3429699,0.31033823,0.27501613,0.24576427,0.22660427,0.21485387,0.20321858,0.18606834,0.16474462,0.14815326,0.14353389,0.148884,0.15208982,0.14353107,0.12549306,0.113824286,0.123976685,0.15886538,0.20396912,0.23879611,0.2521443,0.25196883,0.2621806,0.3041679,0.381932,0.4725617,0.54690474,0.5850994,0.59206986,0.58033013,0.56259567,0.54574066,0.5387704,0.5481749,0.5704174,0.5920828,0.60066223,0.5937856,0.5753216,0.5476473,0.5108141,0.46847668,0.42885217,0.40008116,0.38323662,0.3746396,0.36910513,0.36533532,0.36362568,0.36321878,0.35980618,0.34796143,0.32603872,0.29694512,0.2667033,0.24080427,0.22483182,0.2221998,0.23231833,0.2476737,0.258913,0.25979286,0.25120932,0.23744644,0.22323383,0.21171415,0.20527537,0.20533545,0.21131319,0.22052999,0.22919877,0.23593754,0.24431384,0.2658405,0.31407395,0.39753166,0.5057032,0.61272794,0.68453914,0.70227885,0.66744715,0.60403365,0.5401557,0.49772993,0.4812479,0.48308206,0.49050078,0.49570462,0.49678656,0.4946668,0.4896101,0.48085627,0.4690105,0.45604828,0.44462487,0.43577504,0.428959,0.42336822,0.4192542,0.41773617,0.41708624,0.41264734,0.3981056,0.37271956,0.3409953,0.31117758,0.28779408,0.27112818,0.25775605,0.24453573,0.23051822,0.2172295,0.20752443,0.20270932,0.20155002,0.2000469,0.19417165,0.18238373,0.16774555,0.15620655,0.15259597,0.15667851,0.16385972,0.17146052,0.18489784,0.22000849,0.29030254,0.39537922,0.5116527,0.610106,0.6703022,0.6919932,0.6827636,0.65300816,0.61416894,0.5820233,0.56969637,0.5792927,0.601877,0.62676126,0.6465358,0.6559389,0.64775735,0.618803,0.57465684,0.5302693,0.49843788,0.48225382,0.47462937,0.46784064,0.46021548,0.4554278,0.45602742,0.45876572,0.45721802,0.4462397,0.42508364,0.3958827,0.36232483,0.32866117,0.2986206,0.27420878,0.2552921,0.24131124,0.23178005,0.22628032,0.2236117,0.22289975,0.22413452,0.22843379,0.23700626,0.25018552,0.2666733,0.28331563,0.29693794,0.30594072,0.31161675,0.31580374,0.3193222,0.32041538,0.31720376,0.309219,0.29916605,0.29099092,0.28782782,0.28956363,0.29332587,0.2953059,0.29344812,0.28839234,0.28311992,0.28085974,0.28343567,0.28984478,0.29716513,0.30196154,0.3022653,0.2983445,0.292429,0.28786585,0.28636184,0.28642657,0.2825751,0.26966497,0.24681754,0.21924938,0.19433212,0.1773113,0.17072947,0.17560183,0.19189323,0.21511005,0.2373658,0.25097927,0.2542416,0.25059462,0.24467511,0.23860793,0.2320094,0.2244873,0.21648729,0.20956008,0.20525138,0.20457184,0.20689116,0.20960252,0.21095191,0.21261913,0.22063851,0.23794372,0.26051012,0.27649796,0.2778997,0.2646241,0.24602921,0.23034124,0.22211553,0.2200735,0.22226869,0.22616531,0.22997974,0.23153634,0.22958522,0.22386493,0.21540517,0.20575237,0.19648392,0.18890242,0.18331818,0.1788338,0.17298268,0.16352338,0.15046902,0.1381797,0.13382047,0.14267601,0.16370267,0.18915099,0.21021955,0.22182822,0.22435157,0.21992797,0.21036254,0.196501,0.18019249,0.16470152,0.15483646,0.154258,0.16364942,0.17833859,0.19198959,0.19966231,0.20183992,0.20163286,0.20233496,0.20433502,0.20594324,0.2061394,0.20696686,0.21487737,0.23466091,0.26480612,0.29325935,0.30689785,0.2991764,0.27681366,0.25159025,0.23358852,0.22488306,0.22321808,0.22455037,0.22665547,0.22789447,0.22729379,0.22342426,0.21587877,0.20540859,0.1937495,0.18201636,0.17032073,0.15877885,0.14823623,0.13959545,0.1327554,0.12750165,0.12563874,0.13040029,0.14322025,0.15991329,0.17250448,0.17365593,0.1617802,0.14065656,0.11686707,0.0956381,0.079868585,0.07062522,0.068874866,0.074533366,0.08432033,0.09121137,0.0883615,0.07508087,0.05806302,0.047504872,0.049358685,0.062596925,0.07989329,0.0941686,0.10302427,0.11157324,0.12787409,0.15599187,0.19040632,0.21924679,0.23415126,0.23813158,0.2430271,0.2587367,0.28414106,0.30866084,0.3209175,0.31769723,0.305053,0.29354104,0.29081097,0.29743183,0.30774233,0.3141367,0.31160915,0.29917765,0.27862847,0.2525121,0.2232847,0.19522963,0.17544205,0.17348433,0.19528013,0.23853572,0.2899569,0.33221817,0.35152864,0.346198,0.32507563,0.30262923,0.2885398,0.28326288,0.27894625,0.26766872,0.24873942,0.22822349,0.21321069,0.2041651,0.19763683,0.19001667,0.18284607,0.17788178,0.17525987,0.17278862,0.17172642,0.17706656,0.1940851,0.2230993,0.2581171,0.29050532,0.312029,0.31925502,0.31363901,0.301865,0.2913523,0.28704703,0.28873876,0.2924682,0.29325283,0.28754476,0.2739967,0.25378948,0.23068853,0.21015732,0.1964171,0.19078417,0.19233233,0.20079274,0.21602833,0.23632078,0.2563963,0.2705997,0.27562496,0.27254763,0.26417458,0.25344315,0.24167039,0.2302019,0.2203839,0.21473907,0.21448104,0.21943521,0.2263998,0.23259556,0.23652892,0.23965895,0.24222247,0.24183118,0.2334215,0.21465182,0.1889478,0.16519304,0.15332937,0.1593469,0.18289311,0.21673797,0.25101635,0.27753028,0.29436842,0.30367517,0.30831,0.30725005,0.29831752,0.28110418,0.26123914,0.2469455,0.24587834,0.2600716,0.2870846,0.3207692,0.3543714,0.38122544,0.3969319,0.3998194,0.3908377,0.371025,0.34128216,0.3041081,0.2667474,0.2389677,0.22751983,0.2311746,0.24264748,0.25431642,0.26194736,0.26442626,0.26133206,0.25339964,0.24283849,0.23342545,0.22771983,0.2258657,0.22597547,0.22558445,0.22300184,0.21761613,0.21155798,0.20931049,0.21496916,0.22802311,0.24170347,0.2488247,0.2461537,0.23816006,0.23071551,0.22890411,0.23245813,0.24019553,0.25100616,0.26838914,0.29657194,0.33667746,0.3807319,0.41472694,0.42546543,0.40855023,0.3697859,0.32177702,0.2784272,0.25028643,0.24149238,0.24883772,0.26325953,0.27403155,0.27329957,0.25940216,0.23655431,0.21262044,0.195913,0.1924148,0.20293571,0.22210635,0.24078517,0.25158754,0.25303325,0.24902678,0.24480319,0.24303633,0.24347551,0.24419045,0.24348252,0.2404028,0.23500174,0.2282527,0.22172904,0.2175653,0.21779461,0.22337858,0.23274791,0.24151526,0.24501735,0.24144454,0.23440371,0.23079292,0.2376666,0.25722298,0.28490296,0.30920777,0.31670734,0.30089557,0.2691615,0.24323975,0.244353,0.27890298,0.32939753,0.36883807,0.37688473,0.3533907,0.31238076,0.27297053,0.24953042,0.24842215,0.26655146,0.29319003,0.31572914,0.32627544,0.32480815,0.31626514,0.30561832,0.29532334,0.28597704,0.2777234,0.27013266,0.26155937,0.24949177,0.23288368,0.21470992,0.20294422,0.20670183,0.23004846,0.26692572,0.30425867,0.32953355,0.33806992,0.33219382,0.31643727,0.29265216,0.2608848,0.223303,0.18789767,0.16699763,0.16976476,0.19523638,0.22996096,0.2568344,0.26357874,0.2507677,0.22719139,0.20504646,0.19087605,0.18660294,0.19269001,0.21522169,0.26377028,0.3408098,0.43359706,0.51570517,0.56658083,0.5797055,0.56723756,0.54185265,0.51570684,0.49179935,0.47375536,0.4603945,0.45194027,0.44626662,0.44262674,0.43909228,0.43357477,0.4247322,0.41307077,0.40132967,0.39152393,0.38404796,0.37668708,0.36795187,0.35798562,0.3498443,0.3447895,0.3415626,0.33505392,0.32306477,0.30662498,0.2908853,0.2787234,0.27040443,0.26279494,0.25263935,0.23806985,0.22078556,0.20593332,0.19839467,0.1989227,0.20253997,0.20408218,0.20187533,0.1995733,0.20071895,0.2062714,0.21322633,0.21847449,0.22286554,0.23441248,0.2668534,0.32962358,0.41796365,0.50954765,0.57723325,0.60375196,0.59085834,0.5539138,0.5141718,0.4889216,0.48886824,0.51297456,0.55191725,0.58839405,0.6067025,0.5966973,0.56184757,0.5150774,0.47370246,0.4475907,0.4379305,0.4378362,0.4397501,0.43753386,0.4292207,0.41666958,0.40287662,0.38902876,0.37146413,0.3469673,0.31586897,0.28510383,0.26203525,0.25067624,0.24927159,0.2532964,0.25826034,0.26122323,0.26180744,0.26127008,0.261474,0.26190245,0.25994182,0.2528384,0.2412524,0.22890998,0.21991406,0.21527195,0.21278898,0.21022005,0.21059336,0.22436042,0.26328695,0.32835284,0.40472722,0.47096825,0.51602346,0.5422058,0.55670786,0.55981356,0.54962426,0.5282983,0.50497526,0.48694038,0.4755042,0.4668322,0.45793048,0.44835055,0.43934855,0.4319084,0.4260483,0.42104563,0.4155438,0.40854946,0.39943722,0.38861227,0.37693635,0.36633548,0.3574425,0.3489711,0.3367063,0.31842232,0.2949284,0.2702962,0.24706994,0.2270872,0.21322006,0.21065806,0.22259732,0.24565832,0.27050528,0.2872125,0.29094645,0.28229597,0.26507884,0.24346836,0.2222792,0.20571332,0.196694,0.1943512,0.19644451,0.20254833,0.21908832,0.2575086,0.32557777,0.4143382,0.4955155,0.53659946,0.5254699,0.48030636,0.43609715,0.41913745,0.43555376,0.47525725,0.52259904,0.55823416,0.56323886,0.52754277,0.462824,0.39820173,0.3624228,0.363681,0.3894439,0.41998628,0.4425825,0.4534023,0.45373997,0.44639984,0.43568537,0.42480597,0.41465855,0.4022667,0.38517395,0.36254296,0.33737722,0.31351426,0.2947776,0.2819523,0.27223822,0.26086998,0.24542616,0.23045872,0.2250154,0.23646231,0.26251897,0.2929918,0.31602082,0.3260845,0.32365873,0.31143048,0.29004788,0.25916204,0.22234668,0.1917756,0.18842103,0.23031013,0.3173728,0.4242847,0.5139074,0.56178635,0.566528,0.5458536,0.5168952,0.49266863,0.47630763,0.46838045,0.46365416,0.45828524,0.44984353,0.4405022,0.43233547,0.42603204,0.41973555,0.4117428,0.40146777,0.3897384,0.37788594,0.36704424,0.35871342,0.35386598,0.35235694,0.35058466,0.34328482,0.32687166,0.30358735,0.2802957,0.26353237,0.25548446,0.25388384,0.25509962,0.25591972,0.25397703,0.24751228,0.23562177,0.21945037,0.20230186,0.18910544,0.1833437,0.1850303,0.19074367,0.19601107,0.1979935,0.19497854,0.18787687,0.18126841,0.1878752,0.22293526,0.29375473,0.38716808,0.47471872,0.53120476,0.55092883,0.54625326,0.5322183,0.51811093,0.50962037,0.5122752,0.52864695,0.55074424,0.5658674,0.5639914,0.5461913,0.51797897,0.48450387,0.45020637,0.42171726,0.40728018,0.4086664,0.4200374,0.43144023,0.4368321,0.4357237,0.4294018,0.41823852,0.40047428,0.37675288,0.3498095,0.32515857,0.30684578,0.2968432,0.293533,0.29311955,0.29200637,0.2886193,0.28442252,0.2808423,0.27859735,0.27594495,0.27173436,0.2647266,0.25558808,0.24444051,0.23219061,0.21877831,0.20479117,0.19281752,0.19146557,0.21650445,0.2811439,0.3821958,0.49003688,0.564295,0.5777612,0.5366224,0.47116265,0.415007,0.38492504,0.37894574,0.3850722,0.39238358,0.39646292,0.39815283,0.40014443,0.4037837,0.4088622,0.41387537,0.41713372,0.41649696,0.41009793,0.39649948,0.3766812,0.35397923,0.3337338,0.31888646,0.30827567,0.29624236,0.27868927,0.25575784,0.23250292,0.21325926,0.19952823,0.18946171,0.18095903,0.17295367,0.1658355,0.16080922,0.15781283,0.15521814,0.14946152,0.13873447,0.123785704,0.109028496,0.09966276,0.09918561,0.10714232,0.11885172,0.13087822,0.1452791,0.173393,0.22729944,0.3119226,0.41712657,0.5235265,0.6099321,0.66109747,0.6699888,0.6402444,0.58791333,0.5390084,0.51725215,0.53319937,0.57737225,0.6307222,0.6723532,0.6891356,0.6741772,0.6300667,0.56778765,0.50424594,0.45357612,0.42133662,0.40426323,0.39583287,0.39046016,0.38574588,0.37966838,0.37013757,0.35398296,0.33171725,0.30718508,0.28670806,0.27241042,0.26186857,0.2506422,0.23843026,0.22928292,0.22726782,0.2309904,0.23414761,0.23073335,0.21974035,0.20497967,0.19130236,0.18247974,0.17950489,0.18132895,0.1837698,0.18313406,0.1782347,0.17291719,0.17192435,0.17734313,0.18610056,0.19298445,0.19437702,0.19088264,0.18578649,0.1822121,0.17999105,0.17640974,0.167673,0.15332688,0.13670425,0.12574531,0.12654637,0.14064091,0.16131712,0.1800356,0.19038658,0.19245273,0.18957774,0.18503405,0.17920719,0.16979106,0.15513967,0.13720796,0.12285775,0.11922693,0.12872125,0.14604634,0.16271178,0.17225926,0.174425,0.17273454,0.17122304,0.17062946,0.16869132,0.16236989,0.15138821,0.13999224,0.13433017,0.1382255,0.14910407,0.160636,0.16731632,0.16928993,0.17046505,0.17456837,0.18153195,0.18876489,0.19398122,0.19752383,0.20122285,0.20650274,0.21235156,0.21596342,0.21426626,0.20644015,0.19531734,0.18588448,0.18222995,0.18360223,0.18583857,0.18424112,0.17817366,0.16999014,0.16317523,0.15866037,0.15502636,0.14946902,0.14150769,0.13394041,0.13153778,0.13639008,0.14645565,0.15784983,0.16890092,0.18066525,0.19410191,0.2074141,0.21651423,0.21737196,0.20814876,0.18889797,0.16136426,0.12941669,0.10073509,0.08549505,0.090992875,0.116093874,0.15006517,0.178997,0.1923248,0.18704478,0.16640966,0.13866766,0.11541706,0.10780909,0.12123537,0.15070313,0.18537354,0.21758218,0.25136063,0.2994788,0.37089014,0.4615952,0.5540957,0.6310079,0.6807557,0.7016415,0.69448715,0.6645724,0.61993456,0.5724676,0.53167874,0.50159615,0.4801947,0.46347824,0.44880104,0.43570653,0.42468742,0.4156752,0.40795675,0.40021947,0.39140058,0.3805805,0.36829615,0.35610712,0.34675142,0.3400377,0.33281723,0.3191111,0.29744598,0.2712128,0.24766888,0.2304088,0.2186303,0.20833363,0.19657154,0.18280266,0.16858195,0.1563315,0.14659782,0.13755384,0.12532504,0.1088784,0.0911501,0.079091646,0.07732851,0.085776806,0.09834277,0.10850465,0.11455303,0.12457943,0.15570402,0.22280045,0.32400665,0.43055034,0.50285214,0.51574236,0.4802206,0.43140945,0.4049379,0.41553685,0.460317,0.5266025,0.5977616,0.65171283,0.6674919,0.6369819,0.57285285,0.50148726,0.44697317,0.41925836,0.41378078,0.41987988,0.42761484,0.4313546,0.42841807,0.41967428,0.40767393,0.39576578,0.38493323,0.3742436,0.3625375,0.3504785,0.3403106,0.3330481,0.32685116,0.31668544,0.2984101,0.27243257,0.24578965,0.2279743,0.2249573,0.23532169,0.2518154,0.26674768,0.27514532,0.27615884,0.2701849,0.25854537,0.24251264,0.22670485,0.21933293,0.23253907,0.2748671,0.34582105,0.43093774,0.50830936,0.55878526,0.57397157,0.55931777,0.52530736,0.48625752,0.45079032,0.4256395,0.4093629,0.39859405,0.38891694,0.38004747,0.3746297,0.3742094,0.3778797,0.38168535,0.38312677,0.380802,0.37543294,0.36680755,0.35591424,0.34434018,0.33646974,0.33462194,0.3383027,0.34137622,0.33853206,0.32673872,0.3087405,0.28798345,0.2678466,0.2498517,0.23670954,0.23185188,0.23674025,0.24694806,0.253391,0.24917345,0.23575054,0.22217928,0.2175573,0.22446287,0.23748843,0.2475018,0.24603565,0.23014945,0.20641267,0.19280304,0.21271326,0.2779947,0.37646127,0.47383237,0.53900605,0.56141,0.55338407,0.5317998,0.5104041,0.49970043,0.50885445,0.5395053,0.57889146,0.6092167,0.61683345,0.6022838,0.57053995,0.5291127,0.4839523,0.44433704,0.41792235,0.40621722,0.4030061,0.40026912,0.39474437,0.38859436,0.38402155,0.37942767,0.36913645,0.35005608,0.32409725,0.29827222,0.27860343,0.26751173,0.26349524,0.2630037,0.26308072,0.26226762,0.26255918,0.26630005,0.2746143,0.28420487,0.29073486,0.290118,0.28182092,0.26780453,0.25194517,0.23667532,0.22061227,0.20228697,0.18686174,0.1929995,0.24142127,0.33917677,0.46240625,0.5690487,0.6198171,0.6057677,0.5478924,0.48411337,0.4441028,0.43657932,0.44955584,0.46384183,0.46697614,0.45850715,0.44519496,0.43307686,0.42369652,0.41612533,0.4100391,0.40612125,0.40413794,0.40166306,0.39543846,0.38376835,0.36834073,0.35361025,0.34295633,0.33523515,0.32414415,0.3047571,0.2783623,0.25332552,0.23778518,0.23439711,0.23943561,0.24673764,0.25170612,0.25206187,0.2480502,0.24053748,0.23143381,0.2218681,0.21331811,0.20630296,0.20265502,0.20399344,0.21201397,0.22505641,0.24016814,0.25600985,0.27815095,0.31496924,0.36895123,0.42904222,0.4783517,0.5083745,0.5269325,0.5474817,0.5748374,0.60151386,0.61858284,0.6239738,0.61994404,0.6076405,0.5882563,0.56975675,0.5628727,0.5708697,0.5819476,0.578641,0.55154806,0.5059036,0.45530233,0.41154376,0.3802217,0.36117133,0.35257438,0.35062626,0.3507558,0.34673604,0.3359078,0.31944525,0.30307794,0.29131007,0.28596556,0.28489193,0.28484318,0.28333327,0.28020802,0.27711543,0.2750273,0.27303794,0.2683666,0.25988203,0.2484381,0.2369201,0.2268222,0.21853168,0.21053253,0.20088126,0.18971004,0.18449664,0.20263803,0.26061305,0.3576622,0.46710762,0.5515885,0.5883446,0.5795524,0.54545254,0.5038105,0.46682212,0.43749657,0.41795254,0.4051002,0.3958962,0.3860538,0.3751231,0.3640454,0.35556403,0.35114613,0.35128224,0.35408986,0.35657868,0.3553796,0.34903693,0.33888566,0.3289944,0.32352313,0.3236514,0.32579136,0.3240823,0.31447348,0.29748595,0.27692553,0.2571212,0.24085438,0.2287942,0.22026187,0.2146476,0.21274096,0.21520723,0.22051103,0.22382563,0.2212476,0.21253122,0.20224123,0.19506288,0.19339572,0.19584495,0.19981952,0.20460886,0.21455437,0.2393832,0.28907886,0.3644748,0.45236135,0.5282807,0.57355946,0.58319014,0.5696297,0.546608,0.5257078,0.513267,0.5165155,0.5378799,0.56846315,0.5912161,0.5924484,0.5734213,0.5448485,0.51685846,0.4927782,0.47247767,0.45588407,0.4422166,0.428813,0.41353115,0.39712098,0.38395062,0.3764068,0.37383667,0.3708289,0.36409345,0.35212037,0.33766314,0.32219532,0.30692467,0.29081857,0.2733353,0.2550122,0.23895918,0.22942013,0.22755541,0.22976254,0.22937272,0.22379832,0.21570696,0.21090834,0.21094102,0.21278544,0.2105052,0.2007395,0.18617624,0.17782623,0.1943237,0.24924414,0.34214246,0.4504412,0.54703254,0.60948795,0.63314813,0.6210616,0.5844956,0.53665686,0.4937856,0.46707597,0.4590743,0.46323696,0.46988964,0.47195598,0.46736333,0.4580883,0.44743362,0.4380243,0.43076706,0.42499223,0.41904262,0.41147017,0.4020636,0.39240703,0.38380978,0.37620163,0.36715174,0.3554821,0.34158972,0.3279624,0.31530672,0.30315503,0.2899918,0.2758673,0.26192436,0.2501846,0.24241853,0.23871559,0.23752369,0.23533826,0.23037457,0.22265601,0.21569747,0.21230811,0.21345164,0.21508373,0.21150964,0.20101003,0.19304895,0.20818077,0.26374838,0.35833803,0.4622477,0.5367899,0.55637026,0.52904665,0.4837152,0.45155716,0.44628605,0.4667813,0.5036505,0.54355645,0.56877637,0.5626099,0.5232982,0.46901205,0.42776144,0.41594705,0.43008026,0.45340085,0.47162068,0.47904444,0.47692502,0.4675461,0.45291904,0.43505636,0.415808,0.39631486,0.37625504,0.35613623,0.3365358,0.31908897,0.3044854,0.29370785,0.28654405,0.28183258,0.27706242,0.27011046,0.25976834,0.24586368,0.22852421,0.2089395,0.18935801,0.17297412,0.16240542,0.15897858,0.16175045,0.16749234,0.17209981,0.17515431,0.18299341,0.2072349,0.2533367,0.31303704,0.36401394,0.38724348,0.37791994,0.3484869,0.3144636,0.2863772,0.26783037,0.26000732,0.26247922,0.27034262,0.2756989,0.27140704,0.25671068,0.23579001,0.21531911,0.20064901,0.19573385,0.20068097,0.21157898,0.2203263,0.22055532,0.210473,0.19435315,0.17754908,0.16379571,0.15342844,0.14529447,0.13795602,0.13066685,0.1231947,0.11588985,0.10974643,0.10670114,0.10892125,0.11729465,0.12975833,0.14013644,0.14088744,0.12655164,0.099712186,0.069470294,0.048312586,0.043825883,0.05659909,0.08001561,0.10486729,0.12534072,0.14358008,0.17138375,0.21957724,0.28853795,0.3606224,0.41378382,0.43415558,0.4262949,0.40350446,0.37860632,0.35714254,0.34024763,0.3273442,0.3171431,0.30753794,0.29603508,0.28164718,0.26484743,0.24832918,0.23554885,0.23176642,0.2395622,0.257605,0.277198,0.2890731,0.28659725,0.27099237,0.24678142,0.22013058,0.19491702,0.17377746,0.1582309,0.1507479,0.15516852,0.17336917,0.20140003,0.2276166,0.24077885,0.23700707,0.22298793,0.20663266,0.19035971,0.16959131,0.14108017,0.10797265,0.0789731,0.062118676,0.059854463,0.06907749,0.08321328,0.09772521,0.113238044,0.13816714,0.18164282,0.24531381,0.31562468,0.37162605,0.3973017,0.39314017,0.37162736,0.3479179,0.3307756,0.32347882,0.32467392,0.3305794,0.33399296,0.32957208,0.31592572,0.29763827,0.27977046,0.26591817,0.257014,0.2535417,0.25493532,0.25892022,0.2615272,0.25951222,0.25194004,0.24029209,0.22678769,0.21345961,0.2016645,0.1920415,0.18446235,0.17822252,0.17274462,0.16793491,0.16430314,0.16241838,0.16333535,0.16804923,0.17723747,0.1865592,0.18777812,0.17085393,0.13601507,0.09374941,0.062156204,0.052068695,0.063878395,0.08735486,0.11118915,0.1296274,0.14690761,0.17512906,0.22299027,0.2868636,0.34734765,0.38424465,0.38859883,0.36919698,0.34127712,0.3171231,0.30116034,0.29319474,0.2910569,0.29130033,0.28988063,0.2839752,0.27349222,0.26062283,0.24832928,0.2397855,0.23879643,0.24751578,0.26389003,0.27965522,0.28590965,0.27807575,0.2591814,0.23519647,0.21139653,0.1901624,0.1726567,0.16020012,0.15511692,0.16070066,0.17764531,0.20151852,0.22144423,0.22865336,0.22145186,0.20776816,0.19378114,0.1800269,0.16000082,0.13186128,0.099511445,0.07188991,0.053437855,0.04392284,0.03930906,0.036445606,0.033383872,0.029409014,0.024336027,0.01857871,0.012944817,0.008284922,0.0050501544,0.0031977694,0.002311012,0.001933989,0.0017476454,0.0016178683,0.0015091539,0.0014184647,0.0013425313,0.0012736875,0.0012059723,0.0011362332,0.0010654978,0.0009959334,0.0009290459,0.0008652564,0.0008042198,0.0007452118,0.0006861918,0.0006242336,0.0005576625,0.00049115944,0.0004372977,0.00041217243]