[0.017239962,0.018599553,0.021837518,0.026730321,0.033211995,0.041236743,0.05049463,0.06002977,0.06824454,0.07316056,0.073118985,0.06843431,0.06199606,0.05973834,0.0673367,0.088728465,0.122517265,0.16386296,0.20478141,0.23922764,0.26382843,0.27943408,0.28827295,0.2932504,0.29661402,0.29978,0.30227092,0.30186868,0.2958692,0.28258198,0.26123053,0.23210444,0.19816129,0.16728103,0.15074122,0.15619437,0.18190837,0.21600921,0.24539535,0.26233304,0.26829886,0.26846194,0.2677804,0.2676729,0.26758862,0.2663764,0.26302412,0.2562933,0.24436879,0.22736233,0.2099998,0.20165299,0.21017666,0.23505676,0.2671095,0.295364,0.31391105,0.3213528,0.31641725,0.2974678,0.26685724,0.23465885,0.21321888,0.2090377,0.21743132,0.22819813,0.23368032,0.23353148,0.23145783,0.22940822,0.22589229,0.21899545,0.21104099,0.20752132,0.21233577,0.2233405,0.23463337,0.24173464,0.24480866,0.24662434,0.24919076,0.25245005,0.25471863,0.25377846,0.24735445,0.23522694,0.21997936,0.20658278,0.19828834,0.194919,0.19335048,0.19170178,0.19079407,0.1929397,0.19869672,0.20572622,0.21068089,0.211778,0.21009003,0.20791304,0.20684958,0.206626,0.20631677,0.20555122,0.20558046,0.20816047,0.21433993,0.22294885,0.23084678,0.23412782,0.22952361,0.21631378,0.19715405,0.17876871,0.16840039,0.16950417,0.17855786,0.187943,0.19210845,0.19121069,0.19043006,0.19436349,0.20387675,0.21484081,0.22258694,0.22552122,0.22705944,0.23193687,0.2416525,0.25261894,0.259205,0.25848797,0.2523973,0.24532156,0.24063595,0.23824853,0.23620261,0.23118486,0.22048227,0.20252012,0.18071263,0.16358395,0.1607357,0.17522906,0.20011191,0.22402431,0.23884083,0.24435633,0.24461448,0.24324447,0.24120958,0.23802926,0.23526889,0.23609589,0.24454848,0.25958446,0.27542308,0.28229567,0.274588,0.25274143,0.22443676,0.1989271,0.18471122,0.18540154,0.19962744,0.22014295,0.23867173,0.24943954,0.25273216,0.2520119,0.25084156,0.25015312,0.2491063,0.24745576,0.24644278,0.24805783,0.25148502,0.25243196,0.24512398,0.22769399,0.20417963,0.18218647,0.1676987,0.16280405,0.1669154,0.17836463,0.1936207,0.20619453,0.20893711,0.1992808,0.1819096,0.16591054,0.15793417,0.15929686,0.16794533,0.18263708,0.20291536,0.22621782,0.24706429,0.26017684,0.26414958,0.2615782,0.25610897,0.25069103,0.2468976,0.2451809,0.24397494,0.23979671,0.22897698,0.21000302,0.18539514,0.16116734,0.14424126,0.13815713,0.14090224,0.14674707,0.15197732,0.15691584,0.16412462,0.17289747,0.18045771,0.18566763,0.19230156,0.2049626,0.2232731,0.24155064,0.25343776,0.25746408,0.25623795,0.2533549,0.25033292,0.24698885,0.24290448,0.23846175,0.23495571,0.2335761,0.23469497,0.23715042,0.2387989,0.23691122,0.22920184,0.21440727,0.19342889,0.16957986,0.14781803,0.13220017,0.12375813,0.12054363,0.1204628,0.1234082,0.13037862,0.13997759,0.14761482,0.14858341,0.14319712,0.1368351,0.13572402,0.14083451,0.14826496,0.15322316,0.15525556,0.15682088,0.15961497,0.16149634,0.1594335,0.15357745,0.14811122,0.1469699,0.14926487,0.14995115,0.14487053,0.13473703,0.12437452,0.11807702,0.11765441,0.122188516,0.13104083,0.14327765,0.15790866,0.171848,0.18182014,0.1855812,0.1843592,0.18134071,0.17985182,0.18094887,0.18372835,0.18588455,0.18541656,0.18178691,0.17734964,0.17605525,0.18148957,0.19377089,0.20981723,0.2243724,0.23379369,0.23762204,0.23854351,0.2382345,0.23501779,0.22530097,0.20972319,0.19567515,0.19352041,0.20794384,0.23397827,0.26079607,0.27953765,0.28812054,0.2892059,0.28618553,0.28024182,0.27188256,0.26255083,0.2554797,0.2537776,0.2587171,0.2683477,0.2776539,0.27974656,0.26967505,0.24807353,0.22235616,0.20103234,0.18776013,0.1793499,0.17224963,0.16834593,0.17375122,0.19101189,0.21289103,0.22684996,0.22404963,0.20737906,0.18865371,0.18125182,0.1913868,0.21574605,0.24445969,0.26776043,0.28074962,0.28360662,0.27859262,0.2681025,0.25552,0.2457471,0.2434314,0.24912982,0.2590575,0.2674078,0.2707995,0.26892862,0.26387128,0.2575473,0.25138623,0.24602811,0.24191119,0.23876882,0.23579359,0.23223315,0.22817524,0.22437425,0.22084992,0.2167738,0.21155477,0.20703898,0.20632905,0.21089594,0.21755745,0.22131519,0.22032015,0.21848679,0.22123782,0.22955836,0.23931678,0.24544846,0.24645968,0.24367441,0.2392623,0.23836903,0.25141966,0.29337153,0.36676812,0.45491648,0.5225304,0.54641795,0.5259176,0.4851327,0.44549754,0.41846892,0.4016167,0.39014193,0.37824336,0.36225986,0.3403426,0.31411687,0.28719842,0.26332158,0.24404015,0.22918332,0.21917795,0.21760993,0.23062925,0.25978664,0.29790416,0.32868573,0.33965823,0.32788512,0.30273917,0.27465025,0.25141388,0.23534209,0.22764145,0.22802068,0.23484766,0.24413843,0.25120947,0.2525923,0.24776202,0.23965608,0.23301779,0.23215066,0.23810972,0.24862345,0.2591999,0.26597872,0.26692212,0.2619376,0.2516156,0.23747337,0.22267924,0.21171616,0.20734848,0.20785217,0.20822535,0.20394856,0.19384144,0.17917317,0.16225274,0.14660974,0.13746065,0.14058714,0.1579885,0.18704091,0.22157931,0.25799596,0.29331425,0.32429305,0.3425754,0.3424677,0.32378253,0.295119,0.26519716,0.23941119,0.21794517,0.2002148,0.18684132,0.1802491,0.18218888,0.1927477,0.21078962,0.23746078,0.27461815,0.32021323,0.36367545,0.393757,0.4098672,0.427274,0.4599907,0.50687283,0.545597,0.556938,0.5354592,0.49693862,0.45818508,0.4313705,0.41580376,0.40514478,0.38938737,0.36299086,0.327224,0.29004285,0.25899667,0.23680206,0.22074498,0.20711567,0.19504355,0.1881027,0.19374068,0.2168668,0.25479448,0.29306462,0.31618205,0.3157653,0.29811546,0.274374,0.25415555,0.23908772,0.22763525,0.2184139,0.21301402,0.2136905,0.21948831,0.22580002,0.22742802,0.22440283,0.22160022,0.22478694,0.2347122,0.24743535,0.25753257,0.26236346,0.26221225,0.2585619,0.2520195,0.24284475,0.2327472,0.22548048,0.2248141,0.23173511,0.2437551,0.2562815,0.2645587,0.26514143,0.25735846,0.24385166,0.22946852,0.21855748,0.2133385,0.21532239,0.22690232,0.2517307,0.28813264,0.3276006,0.355268,0.3625594,0.34983277,0.32695487,0.30231392,0.28114864,0.2645829,0.25353086,0.24789,0.24629708,0.24631403,0.24680966,0.25000164,0.2619145,0.28776106,0.32533804,0.3618958,0.38425234,0.39239416,0.40421128,0.4362347,0.4869089,0.5321048,0.55020976,0.53454095,0.49732435,0.45222068,0.41003892,0.37557533,0.3501389,0.33069348,0.31215808,0.29244658,0.27348217,0.2590495,0.2505536,0.24709277,0.24686551,0.24963038,0.2565572,0.2704319,0.29084596,0.31301144,0.32612994,0.3233789,0.30541065,0.28267732,0.26467642,0.25530863,0.2504476,0.24350314,0.2294647,0.20817976,0.18430735,0.16447146,0.1524928,0.14706707,0.14369719,0.13974886,0.13618194,0.13563536,0.13827701,0.14170188,0.14327513,0.14318931,0.14362206,0.14600982,0.14889044,0.14906876,0.14517336,0.1393727,0.13591643,0.13673683,0.14017262,0.14293008,0.14387539,0.14417888,0.14487565,0.1451212,0.14338298,0.13968402,0.13727094,0.1418968,0.16126347,0.19736278,0.24350779,0.2813011,0.2960563,0.28394115,0.25851652,0.23604949,0.2275852,0.23195536,0.24172561,0.24844955,0.24685232,0.23547234,0.21723352,0.20072378,0.1999308,0.22486608,0.27272797,0.3238009,0.3592368,0.37572828,0.39234707,0.42630973,0.47704467,0.51972955,0.53236204,0.5100836,0.47110704,0.43580714,0.41584,0.40834185,0.40445304,0.39476013,0.374653,0.34460285,0.31030107,0.27781284,0.25107008,0.22882627,0.20886116,0.19104855,0.18114245,0.1881088,0.21604313,0.2581378,0.2955595,0.31207645,0.30271646,0.2786307,0.25336137,0.23520537,0.22283308,0.21252656,0.20294298,0.19649874,0.1957469,0.19987667,0.20496319,0.20743938,0.20751272,0.20839608,0.21296574,0.22057153,0.22815149,0.23252527,0.23289464,0.23018014,0.2267236,0.22483659,0.22653504,0.23164876,0.23817457,0.24305166,0.24486367,0.24447334,0.24436112,0.24677539,0.2522292,0.2593554,0.26530936,0.26775602,0.2657431,0.26022127,0.2536581,0.24987626,0.2541603,0.2677051,0.2859083,0.29682717,0.2955603,0.28760585,0.28967735,0.3082794,0.3357562,0.35214627,0.34772238,0.32552785,0.2982596,0.27207306,0.24724953,0.2212667,0.19622199,0.17636462,0.16495763,0.16139393,0.16336206,0.17110176,0.19031797,0.22932081,0.29005376,0.36085594,0.41844833,0.44193769,0.4266735,0.38767493,0.34755576,0.32142946,0.3101196,0.3055524,0.30019927,0.29151997,0.28091183,0.27049914,0.2621657,0.25773957,0.2583997,0.26313594,0.2682455,0.26989463,0.26734987,0.2632852,0.26076323,0.25987324,0.2587879,0.25628626,0.2540532,0.253643,0.25443316,0.25316662,0.24877131,0.24419922,0.24409366,0.24903528,0.25431523,0.25485596,0.24987943,0.24260016,0.2344554,0.22385313,0.2091102,0.19413029,0.18611108,0.18968552,0.2008636,0.21103404,0.21391213,0.21167612,0.21058024,0.2155019,0.225083,0.23567307,0.24399348,0.24967937,0.25286123,0.25385344,0.2525631,0.24890606,0.24245302,0.2330304,0.22194268,0.2121244,0.2064118,0.20569505,0.20799857,0.20995003,0.20817123,0.2019959,0.19408567,0.1893567,0.19070756,0.19646548,0.20184691,0.20384169,0.203707,0.20535846,0.21054065,0.21757428,0.2223915,0.2224496,0.21758461,0.21015303,0.20430996,0.20690757,0.22663467,0.26957378,0.33043453,0.3908452,0.4259298,0.42304817,0.38838446,0.34405884,0.30837598,0.28829417,0.2787585,0.2740129,0.27087796,0.26860118,0.26565808,0.2608233,0.25480962,0.25019795,0.24872345,0.24993849,0.25185552,0.25340042,0.2553046,0.2592924,0.2662333,0.274832,0.2827401,0.28788915,0.28966352,0.28738272,0.28034195,0.26863846,0.25608298,0.24794526,0.24787132,0.25331917,0.25952244,0.26303336,0.26534262,0.26845065,0.2725228,0.27522883,0.27555072,0.27413067,0.2723099,0.26960704,0.26490662,0.2574198,0.24803428,0.23858966,0.23145223,0.22838247,0.22923191,0.2304678,0.22685958,0.21421844,0.19389188,0.17183726,0.15682942,0.15546708,0.16988158,0.19653617,0.22761054,0.25500104,0.27265528,0.27749255,0.26830003,0.24639003,0.21793447,0.19238983,0.17919798,0.18128847,0.19499363,0.21208507,0.2259265,0.23371045,0.23622586,0.23483767,0.23011966,0.22272004,0.2144794,0.20794187,0.20428936,0.20281552,0.20399463,0.2123984,0.23635674,0.2783564,0.32973394,0.37090945,0.38668588,0.37396038,0.34331825,0.30809566,0.27802753,0.25692686,0.24427426,0.23794048,0.23493375,0.23321778,0.2314983,0.23019199,0.23056024,0.23296188,0.23546915,0.23491304,0.23069926,0.22554116,0.22352938,0.22552317,0.22908811,0.23095131,0.23123042,0.23372094,0.24186802,0.25461355,0.26584566,0.2713654,0.27216485,0.27308425,0.2736541,0.26838967,0.25210166,0.22963281,0.21260901,0.21163368,0.22682579,0.2492704,0.26770225,0.27566373,0.2728434,0.26076505,0.24149887,0.21859308,0.20122539,0.199032,0.21607417,0.24499822,0.27381834,0.29278743,0.29979882,0.29698968,0.28801396,0.27601382,0.2638611,0.25358602,0.24598213,0.24082305,0.23757888,0.23575036,0.23500617,0.2349565,0.2354446,0.23657568,0.23858899,0.24066566,0.23985986,0.23169589,0.21326436,0.1866271,0.15967381,0.14245044,0.14182149,0.15724432,0.18160762,0.20573805,0.2233737,0.23304819,0.23558305,0.23302495,0.22918047,0.23375542,0.25878608,0.31053314,0.37766662,0.4357705,0.46116698,0.4502368,0.41739058,0.38403463,0.36119214,0.34953725,0.34343866,0.33941087,0.33589688,0.33280158,0.32946432,0.32574415,0.3220832,0.31968474,0.3189793,0.31942108,0.31968606,0.31910905,0.31818676,0.31781158,0.318094,0.3177193,0.31536883,0.3108633,0.30548942,0.30063543,0.29697147,0.29469606,0.29388657,0.29422694,0.2941917,0.29182866,0.28599548,0.27749893,0.26812387,0.25964555,0.2528171,0.2478544,0.24465407,0.24333847,0.24386941,0.24589668,0.24842358,0.25014797,0.24964754,0.24665093,0.24261196,0.24208146,0.24904041,0.26522157,0.2854644,0.30324185,0.3120165,0.3118597,0.30489352,0.29555663,0.28554758,0.27555,0.2638305,0.24930249,0.23302348,0.21947344,0.21334706,0.21534483,0.22181302,0.2276213,0.23042041,0.22961639,0.22493583,0.21493967,0.20030205,0.18600906,0.17969507,0.18547817,0.19854432,0.2079259,0.20412986,0.18710707,0.16640492,0.15682004,0.17163236,0.21761625,0.28942868,0.36945495,0.43297365,0.46302152,0.45823586,0.43248448,0.40222028,0.37857547,0.36506975,0.36088666,0.36342016,0.3692545,0.37590286,0.38240206,0.38989162,0.40023324,0.41410366,0.42872524,0.43725345,0.43351376,0.416733,0.39448556,0.3749906,0.36227903,0.35244134,0.34192988,0.3297886,0.31952122,0.31273022,0.30946678,0.3097516,0.31766987,0.3379765,0.37015417,0.4039339,0.4253532,0.42582735,0.4080703,0.38106743,0.35377845,0.33114254,0.3164984,0.31169724,0.31737623,0.33069074,0.3476354,0.36426246,0.37981942,0.39521405,0.40995395,0.41885602,0.41552648,0.40071476,0.38654578,0.3865168,0.4023107,0.41892406,0.4204267,0.40293482,0.3776385,0.35728362,0.3480712,0.3491895,0.35776314,0.37075862,0.38306823,0.38908997,0.3849659,0.37339768,0.36027363,0.35143316,0.34689224,0.344062,0.3403223,0.33685017,0.3361244,0.34000066,0.34782243,0.3573705,0.36613336,0.37198153,0.37373772,0.37091032,0.36575022,0.36304474,0.37009385,0.389413,0.4165764,0.43858147,0.44502822,0.43137583,0.40343782,0.36935893,0.33926848,0.31963542,0.3138949,0.3190154,0.3293039,0.3390746,0.34697223,0.3550646,0.36790892,0.38757312,0.41131356,0.4299011,0.43485057,0.4234877,0.40213618,0.37845576,0.35739622,0.33884013,0.32316628,0.31174505,0.3062904,0.3050581,0.30410218,0.30179915,0.30319354,0.31747076,0.3476554,0.38298988,0.4039534,0.39786312,0.3694956,0.33585453,0.3126708,0.3050979,0.30979398,0.32023385,0.33120942,0.3393573,0.34397212,0.34762534,0.35603002,0.37463188,0.40280452,0.43082467,0.44576314,0.44208324,0.42864868,0.41941944,0.42161945,0.42775503,0.4270769,0.4144248,0.3951769,0.37641433,0.36293253,0.35635623,0.35761514,0.36578742,0.37563562,0.37997332,0.374627,0.36277416,0.3510792,0.34380713,0.33921668,0.33346298,0.3252398,0.31754744,0.3138571,0.3151118,0.3184351,0.3208127,0.32111308,0.32185182,0.32594752,0.33464846,0.3467501,0.36151043,0.3807683,0.40488878,0.42877832,0.44038674,0.4306608,0.39982376,0.3593148,0.32244298,0.2980788,0.28751686,0.28780583,0.2948521,0.30557755,0.31752002,0.3292576,0.3417805,0.3595322,0.38564873,0.41577613,0.43733278,0.439767,0.42438665,0.4035708,0.38833532,0.37996808,0.37208354,0.36062673,0.3473077,0.3376129,0.33484647,0.33999333,0.35297775,0.37465537,0.40347388,0.4319838,0.44696474,0.43792796,0.40564764,0.3632517,0.3278173,0.31034184,0.31233004,0.3271925,0.34626004,0.36209068,0.37211773,0.3773087,0.38167962,0.38941216,0.40265962,0.41811502,0.42745885,0.4235575,0.4080763,0.39283594,0.38970447,0.39981028,0.41114593,0.4102765,0.3935285,0.36930168,0.34887448,0.33835372,0.33706436,0.34158978,0.34783795,0.35139263,0.3477564,0.33644345,0.32263145,0.31441677,0.316064,0.32512996,0.33618608,0.34567365,0.3536909,0.36036196,0.36458388,0.36493194,0.36319485,0.36307988,0.3672277,0.37410522,0.38035476,0.38481328,0.39102945,0.40483096,0.42736718,0.45112026,0.4615861,0.44884196,0.41436028,0.3713833,0.33359444,0.30877125,0.2966685,0.29427668,0.2980905,0.30533782,0.313205,0.3206352,0.32990086,0.3470228,0.37495032,0.40788913,0.43115255,0.43392363,0.4185902,0.39844027,0.3835716,0.37275028,0.35848558,0.33752212,0.31469658,0.29769024,0.29024252,0.29094064,0.29771194,0.31224847,0.33729187,0.3696449,0.3962585,0.4032558,0.38604656,0.35521588,0.32586417,0.30991885,0.30844212,0.31763336,0.3300976,0.34106436,0.3468965,0.34820196,0.34747735,0.3498341,0.3580835,0.37190866,0.38448176,0.38846728,0.37833515,0.35764393,0.33401895,0.3167671,0.31015122,0.3161007,0.3349372,0.36392692,0.39348957,0.4095041,0.40385008,0.38288853,0.36216477,0.35418215,0.35702708,0.362036,0.36233428,0.36262384,0.36840764,0.37982318,0.38682422,0.38293335,0.37116948,0.36199477,0.3612118,0.36460653,0.36615297,0.36520293,0.36978766,0.384402,0.40411925,0.41562173,0.4123365,0.40220523,0.40033993,0.4129772,0.42993847,0.43572903,0.42246807,0.3949896,0.3632622,0.33554566,0.31597376,0.30532822,0.30291268,0.3060868,0.31249908,0.3204963,0.33245027,0.35275197,0.38328668,0.416741,0.4386206,0.43803272,0.4175935,0.39034197,0.36827412,0.35356092,0.34354302,0.33632064,0.3341881,0.33751273,0.34429154,0.35120913,0.35933664,0.3729392,0.39472547,0.41954592,0.43528616,0.43143514,0.40722486,0.3724589,0.33994663,0.31846416,0.3103108,0.31294826,0.3216565,0.33141375,0.3390609,0.34468377,0.35194588,0.3661501,0.3887737,0.41357803,0.427469,0.4217504,0.4012165,0.38388357,0.38451383,0.4015737,0.4175599,0.4162972,0.39543834,0.365846,0.33990076,0.32423702,0.32012653,0.32664883,0.3397481,0.35177875,0.35371843,0.34331882,0.3266361,0.31462088,0.3132275,0.32111338,0.33226094,0.3426423,0.351768,0.36114407,0.37097552,0.37995303,0.3863726,0.38994956,0.391503,0.392036,0.39182934,0.3919681,0.39521685,0.4066429,0.4274635,0.45233536,0.46775904,0.46328905,0.43756452,0.4010141,0.36617565,0.34119675,0.32740453,0.32221368,0.32219008,0.3240802,0.32584015,0.32785043,0.33374354,0.34982637,0.37806204,0.4117842,0.43526673,0.4373677,0.41925478,0.39416048,0.37286726,0.35745633,0.3438727,0.33081058,0.3209007,0.31654015,0.31636974,0.31782925,0.32113722,0.33139682,0.35239628,0.38138008,0.4057231,0.4127262,0.39848813,0.37235904,0.34879196,0.337172,0.33771265,0.3438102,0.34898356,0.3497219,0.3466852,0.34263837,0.34194115,0.34933975,0.36669704,0.38901237,0.4046375,0.4046429,0.3920157,0.38172105,0.38628685,0.40400025,0.41936624,0.41846552,0.39967456,0.37264976,0.34785676,0.33002353,0.31972206,0.31702363,0.32140484,0.32952216,0.33449674,0.33156928,0.32029566,0.30571178,0.29309204,0.2866319,0.2878733,0.29579827,0.3072347,0.317855,0.32554948,0.33044076,0.3344473,0.33858374,0.34271264,0.3463192,0.34869862,0.35054255,0.3535479,0.36258507,0.38001537,0.40291882,0.419916,0.42116842,0.40433347,0.37739208,0.34999552,0.3289492,0.3162502,0.31195998,0.31450987,0.3213068,0.32915533,0.33708873,0.34742558,0.36569953,0.3933339,0.42434812,0.44512808,0.4471847,0.43284222,0.4133024,0.3964831,0.38192567,0.36614278,0.34886625,0.33456632,0.32666036,0.32487833,0.32778218,0.33634558,0.3564848,0.38965145,0.42764834,0.4498817,0.44085932,0.40072307,0.34782615,0.30212715,0.2744936,0.26479232,0.26874825,0.28185734,0.299624,0.31748042,0.33344772,0.34957242,0.37062314,0.39583012,0.41550195,0.41464725,0.38963386,0.35591462,0.34058952,0.35768846,0.3954109,0.42527154,0.4277911,0.40610442,0.37776127,0.35711548,0.34689558,0.34432745,0.34763408,0.35612214,0.3662425,0.37151662,0.36878082,0.3604785,0.3534722,0.3517019,0.3550973,0.36027905,0.3654548,0.3702135,0.37543646,0.38058332,0.38477078,0.38650513,0.3858029,0.3833349,0.38082406,0.37889242,0.37823558,0.38018468,0.38896728,0.40706754,0.43069577,0.44733953,0.444384,0.41891518,0.3801473,0.34254476,0.31568184,0.30250508,0.30075607,0.3075135,0.31942904,0.3331337,0.3466619,0.36081025,0.37944898,0.40210137,0.42097643,0.42284837,0.40371957,0.3735776,0.34969854,0.33982238,0.33787462,0.33380333,0.3250151,0.3171575,0.31558907,0.32003856,0.3270115,0.3340969,0.3420218,0.34966493,0.3534356,0.3488592,0.33984885,0.33776852,0.3539373,0.38527313,0.41434693,0.42154208,0.40154204,0.36559048,0.3305736,0.3068323,0.29613224,0.2968626,0.30769682,0.32403272,0.338001,0.34072843,0.33242652,0.31943747,0.3110411,0.30920342,0.31231478,0.31837544,0.33028015,0.35291687,0.38562095,0.41857764,0.43604293,0.43077382,0.41115573,0.39468956,0.39246234,0.39875832,0.40068272,0.38865563,0.36732355,0.34709945,0.3378377,0.33973014,0.34781006,0.35642433,0.36374143,0.36954844,0.37255946,0.371117,0.36548224,0.35843703,0.3528336,0.34891465,0.34550858,0.33995593,0.3305891,0.3148767,0.29314634,0.26691312,0.2405471,0.21695869,0.19810168,0.18340386,0.17143995,0.16022344,0.14899129,0.13894422,0.13265683,0.13168746,0.13473295,0.13810621,0.13826917,0.13404077,0.12655176,0.11791212,0.10982734,0.10401409,0.10214591,0.105879575,0.114699654,0.1257203,0.13388802,0.13565426,0.13090411,0.12325417,0.11627364,0.11054659,0.10410401,0.09608104,0.08934036,0.08859366,0.09629154,0.11005572,0.12438929,0.13443936,0.13854687,0.13800402,0.13518178,0.13200752,0.12904401,0.12504213,0.1176816,0.10580659,0.091676354,0.07969048,0.07301012,0.07120285,0.072712205,0.07768788,0.08852425,0.106183134,0.1281733,0.14876306,0.16290873,0.16851306,0.16740079,0.1627367,0.15722239,0.15185255,0.14685798,0.14221185,0.13802773,0.13454609,0.13255714,0.13317697,0.1366849,0.14062338,0.14092414,0.13703717,0.13690509,0.15400511,0.19392079,0.24676955,0.29221362,0.31942847,0.33288634,0.3451192,0.3601607,0.37317762,0.38059413,0.38671938,0.4000276,0.41981867,0.43649825,0.43646872,0.41756752,0.38758215,0.3602518,0.34239087,0.33420083,0.33127907,0.33085322,0.33242688,0.33696997,0.34482262,0.35446647,0.36304,0.36829293,0.3693924,0.36662886,0.36060897,0.35360166,0.35021576,0.3532245,0.36006626,0.3616898,0.35243395,0.33415774,0.31734753,0.3108988,0.31789115,0.3335847,0.34962443,0.35840097,0.35678422,0.34832087,0.33958828,0.33641768,0.3396062,0.34692183,0.35472044,0.36092257,0.36418524,0.3644608,0.36175337,0.3573084,0.3523248,0.34809193,0.34420416,0.3399788,0.33559933,0.33306083,0.33433172,0.33870566,0.34258375,0.34131706,0.33264932,0.3179126,0.30181006,0.29004171,0.28797445,0.29784766,0.31768143,0.3405578,0.35918364,0.37020728,0.37472454,0.3747784,0.36927918,0.35788718,0.3429874,0.33212486,0.33121848,0.34211925,0.3595828,0.3758355,0.38447833,0.38494825,0.38175616,0.38146567,0.38931856,0.40811887,0.43472207,0.45874348,0.46443525,0.44468156,0.4093361,0.38172257,0.377274,0.38952932,0.39629826,0.38120234,0.34855846,0.3163933,0.30066398,0.30399576,0.31888092,0.33518445,0.3455894,0.34758875,0.34218335,0.33397087,0.3278217,0.32831982,0.33645,0.35063842,0.3668903,0.38190243,0.3939344,0.4015762,0.40330577,0.3972461,0.38516304,0.37104425,0.35970935,0.35235795,0.3473853,0.34186184,0.3340615,0.3243854,0.3158672,0.31248525,0.31670466,0.32667506,0.33797613,0.346076,0.34947586,0.3485187,0.34463382,0.3385714,0.33107468,0.32345653,0.31845307,0.31891224,0.32499158,0.33277705,0.3375388,0.33710435,0.33409882,0.33112457,0.3296363,0.32863697,0.32872602,0.33121434,0.3368467,0.34428683,0.3509643,0.35580885,0.35845312,0.36041412,0.36263916,0.3668674,0.37120596,0.37223473,0.36538625,0.35184333,0.3366122,0.32633615,0.3231357,0.32576534,0.3306814,0.3349643,0.3367361,0.3373874,0.3404504,0.3503187,0.36805633,0.39284435,0.4198133,0.44124028,0.44642177,0.43165025,0.40638044,0.38967907,0.3934588,0.4110355,0.42218685,0.41162303,0.38045302,0.3445314,0.32019493,0.31497586,0.32458147,0.3397007,0.35315943,0.36371788,0.37397978,0.38452518,0.39260495,0.3939246,0.38801447,0.37833902,0.37086454,0.3697112,0.37568554,0.3845134,0.38996315,0.3869324,0.37651244,0.36317793,0.3516495,0.34277645,0.33645555,0.33357632,0.3360139,0.34402552,0.35520735,0.36630884,0.37446985,0.37754086,0.37414995,0.3651696,0.3551599,0.3500485,0.35300183,0.36141136,0.36987245,0.37527797,0.37872326,0.38263085,0.38585317,0.384629,0.3760537,0.36248648,0.34965813,0.3422203,0.34071234,0.34178162,0.3429683,0.34386066,0.34728336,0.3545845,0.36525312,0.37624648,0.385561,0.3930776,0.39959848,0.40556812,0.4089038,0.40726924,0.39861956,0.38551068,0.37276873,0.36627647,0.36797896,0.3772335,0.39058945,0.4038366,0.41138074,0.40951923,0.39867267,0.38540184,0.37892222,0.38651624,0.40647754,0.42710912,0.43295482,0.41925684,0.39834931,0.38980877,0.40098667,0.4193633,0.4253572,0.40987888,0.37937298,0.3458177,0.3182113,0.30062577,0.29558364,0.3032278,0.32094434,0.3435378,0.36636904,0.38735554,0.40744457,0.42838553,0.4477477,0.45700896,0.4471583,0.4185129,0.383726,0.3570892,0.34396133,0.33816156,0.3334433,0.3291919,0.33013687,0.33857134,0.3519075,0.36656603,0.38080713,0.3975443,0.41587543,0.43097416,0.43203044,0.41537097,0.3857715,0.35630175,0.33713165,0.3318546,0.3378737,0.34899774,0.3585658,0.3605174,0.352644,0.33835995,0.3263296,0.32828137,0.34815797,0.37798095,0.39841568,0.39911214,0.3874191,0.38262546,0.39223337,0.4038291,0.39923608,0.37458584,0.3438042,0.32367453,0.320611,0.33014786,0.34430158,0.35781828,0.36809197,0.3745478,0.37712434,0.37716988,0.37616435,0.37556902,0.37587002,0.37785503,0.382303,0.38916838,0.396075,0.39980826,0.39866194,0.39523998,0.39487198,0.4031869,0.41891372,0.43319044,0.43298164,0.41505668,0.39079273,0.37855896,0.38575056,0.4007084,0.40443814,0.38638058,0.35320082,0.31847668,0.29378343,0.2812507,0.27847168,0.2812606,0.28784338,0.29737684,0.30873904,0.32136667,0.33685234,0.35951725,0.38867322,0.41494906,0.4236077,0.40881214,0.3799304,0.3535256,0.3397876,0.33560172,0.3343613,0.33126637,0.32751107,0.32259217,0.31620947,0.30935296,0.30885044,0.32321462,0.3538457,0.38971436,0.41102734,0.40476096,0.37380233,0.33542463,0.30709007,0.29660484,0.3007447,0.31128868,0.3207949,0.3255602,0.32544234,0.32406986,0.3270234,0.34143102,0.3676697,0.39727533,0.41405246,0.41139388,0.39857438,0.39392737,0.4039781,0.41660538,0.41456416,0.392283,0.35958004,0.32916006,0.30768847,0.29562566,0.29255506,0.29906568,0.31351736,0.33127114,0.3462615,0.35814467,0.37250626,0.395573,0.42335927,0.44091734,0.4339333,0.40185842,0.36010325,0.326763,0.31071958,0.30946386,0.3177228,0.33510742,0.36193824,0.39347744,0.41642103,0.42313647,0.41790935,0.41512993,0.4201362,0.4234043,0.40962827,0.37470493,0.3308984,0.2952508,0.2781985,0.27839682,0.2889634,0.3022828,0.313406,0.3202001,0.32381752,0.32942483,0.3442779,0.37290916,0.4098566,0.43983865,0.44694504,0.42863074,0.39741793,0.3700881,0.35399798,0.34580675,0.34011388,0.33551025,0.3334577,0.33327305,0.33277857,0.33216524,0.3364044,0.35131535,0.37569746,0.39836755,0.40392867,0.3851973,0.3489727,0.3120142,0.2890263,0.28578043,0.29806778,0.3174549,0.335794,0.34799346,0.35221255,0.35037205,0.3491672,0.35685417,0.37448955,0.39100227,0.3903536,0.3704847,0.34933117,0.3496696,0.3745582,0.40154457,0.40475032,0.37687632,0.33466038,0.2995129,0.28353104,0.28552118,0.30003652,0.32160285,0.3439252,0.35887015,0.361071,0.3555014,0.35582766,0.37233233,0.39940584,0.41828343,0.41349944,0.38660702,0.35227537,0.32495305,0.30881736,0.30307874,0.3079143,0.32763603,0.36078918,0.39664853,0.41798773,0.41799405,0.4066342,0.40262082,0.41386524,0.42983007,0.43402466,0.4197326,0.3954943,0.37343118,0.360376,0.35527778,0.35489747,0.3560706,0.3563398,0.35466138,0.3531853,0.35848632,0.37646523,0.40722987,0.43938652,0.45668432,0.4477369,0.41748917,0.38184652,0.35631087,0.34470698,0.34260857,0.34504452,0.3507476,0.35958278,0.3693167,0.37762156,0.3853768,0.39775348,0.4190823,0.4453934,0.4639469,0.46078506,0.43427244,0.39623082,0.36401138,0.34662798,0.34229982,0.34377363,0.34566614,0.34662434,0.34737512,0.34931016,0.35524988,0.3691299,0.39364532,0.42369476,0.44629017,0.44829956,0.43010077,0.4080436,0.4000624,0.4088724,0.41910732,0.41493762,0.39381877,0.3672957,0.34713373,0.33766398,0.33612803,0.3392435,0.34492826,0.351743,0.35703853,0.36021972,0.36474857,0.3779699,0.40194455,0.4285252,0.44151476,0.43178603,0.40591836,0.3819228,0.37388477,0.38041136,0.390491,0.39309236,0.38853356,0.38179433,0.3781956,0.37621298,0.3743302,0.3732657,0.377309,0.38742176,0.39963213,0.40616035,0.40225255,0.38794592,0.36941728,0.3536031,0.3454528,0.34395185,0.344779,0.3437141,0.3399761,0.33530724,0.33117393,0.3274943,0.32358357,0.31964597,0.31675884,0.31528282,0.31453064,0.31310642,0.31054902,0.30698624,0.30279794,0.2978889,0.29215,0.2857745,0.2788004,0.2708031,0.26121032,0.25079507,0.24216394,0.23821247,0.23934376,0.24250089,0.24349932,0.24096715,0.23664324,0.23251368,0.22713488,0.2181829,0.20679517,0.19961084,0.202848,0.21570598,0.22923012,0.23355371,0.22618993,0.2137125,0.20578462,0.20693381,0.2151907,0.22542395,0.23521231,0.24399714,0.25207385,0.25787374,0.26030156,0.25854433,0.25312912,0.24447615,0.23374848,0.22232765,0.21219534,0.20486897,0.20067833,0.19786704,0.19325085,0.18544574,0.17687695,0.17322509,0.17754012,0.18757361,0.19675075,0.20090365,0.20069885,0.20062643,0.20382951,0.21071066,0.21932177,0.22749324,0.23324591,0.23620754,0.23999308,0.25406167,0.28961375,0.35081926,0.42640266,0.4922657,0.5250899,0.5174531,0.48218703,0.44038704,0.40813854,0.38887504,0.37962496,0.37609807,0.37619972,0.37774286,0.3787609,0.37824556,0.37693986,0.37621763,0.37655059,0.37757048,0.37830177,0.37792552,0.37523738,0.36939678,0.36035928,0.3495623,0.3390613,0.33020973,0.32294834,0.31605974,0.3087754,0.30175996,0.29682016,0.29502648,0.29486108,0.29345104,0.28874007,0.28210917,0.27657393,0.2749143,0.27677348,0.27985963,0.28046754,0.27653256,0.26763573,0.2560943,0.24446349,0.2347712,0.22777297,0.22396982,0.22430412,0.22770119,0.23061903,0.22619845,0.21021406,0.18319415,0.153274,0.13059916,0.12402305,0.13542037,0.16085722,0.19177674,0.22054906,0.24189548,0.25331065,0.2527217,0.23934186,0.21605998,0.19033413,0.1717542,0.16674231,0.17622454,0.19519186,0.2165019,0.23332594,0.24236567,0.2429504,0.2369494,0.22695886,0.21695377,0.21079706,0.21095628,0.21635783,0.22450386,0.2354049,0.2557566,0.29493275,0.35623762,0.42838883,0.4881294,0.5139901,0.49942765,0.45822516,0.41251302,0.38079426,0.3672737,0.3668516,0.3705859,0.37311742,0.37247047,0.36987606,0.36705402,0.3652539,0.3642241,0.36307326,0.3609375,0.35759783,0.35343942,0.34915432,0.34509775,0.34130907,0.33819488,0.33682707,0.337612,0.33865166,0.3367779,0.33021066,0.3207576,0.3115228,0.30391315,0.29583254,0.28471306,0.2708874,0.25867945,0.25286198,0.2544625,0.2598965,0.26448035,0.26629376,0.26601604,0.26353493,0.25623223,0.24240594,0.22561622,0.21410072,0.21407694,0.2245198,0.2381409,0.24804592,0.25129932,0.24926919,0.24392961,0.23761831,0.23189805,0.22854386,0.22797002,0.22963043,0.23189934,0.23323809,0.2328186,0.2307279,0.22779703,0.22485733,0.2226395,0.22122854,0.21983127,0.21599765,0.20676833,0.19085419,0.17168434,0.15681823,0.15432288,0.16683857,0.18957834,0.21275425,0.22829597,0.23393781,0.23342551,0.23159337,0.23200457,0.23761576,0.25580946,0.29543725,0.35954678,0.43455434,0.49707294,0.52619654,0.52018654,0.491519,0.45876992,0.43278864,0.4176683,0.4114202,0.41133484,0.41402698,0.4171766,0.41905823,0.4193062,0.4180529,0.41612592,0.41384593,0.41137573,0.40798938,0.40329418,0.39695564,0.3893766,0.38107023,0.37276164,0.3649529,0.3573891,0.34906825,0.33867082,0.32605875,0.31257328,0.3003451,0.2905744,0.2827699,0.2754159,0.2670487,0.25716582,0.24614136,0.23504458,0.22452068,0.21409333,0.20181094,0.18592145,0.16624524,0.14513804,0.12599413,0.1118713,0.103819676,0.10175115,0.10577241,0.118286766,0.14156437,0.17446738,0.20978242,0.23937976,0.2591995,0.2711601,0.27720356,0.2758854,0.26342943,0.23938893,0.20913124,0.18193026,0.1667924,0.16768815,0.18224226,0.20205875,0.21842383,0.22623932,0.22636108,0.22192137,0.21491598,0.2052645,0.19370717,0.18388237,0.18050313,0.18474548,0.19228925,0.19552876,0.18935911,0.17505924,0.16105695,0.15966749,0.18107218,0.22930396,0.2969539,0.36802554,0.42068255,0.4413319,0.429335,0.39876953,0.3662157,0.34347042,0.33385774,0.3352239,0.34280252,0.35173973,0.35883787,0.36492458,0.37385556,0.3915404,0.41857675,0.4485884,0.46836892,0.4696156,0.45409372,0.43159434,0.40962872,0.38825396,0.3660641,0.34468034,0.33046985,0.32658648,0.33180365,0.34172198,0.35517654,0.3749373,0.40247086,0.43209586,0.45044348,0.44668624,0.41999912,0.38018385,0.33934328,0.30624923,0.2862556,0.28151354,0.29124847,0.31001678,0.33165255,0.3518422,0.37164068,0.3944634,0.42164382,0.44655368,0.4571075,0.44602144,0.4205668,0.3998216,0.3980584,0.41303182,0.42820218,0.42969155,0.4158436,0.3956847,0.37840906,0.36826393,0.3655251,0.3691245,0.37608948,0.38107166,0.3783816,0.3677949,0.35483572,0.34692812,0.34641334,0.3501599,0.35375938,0.35555485,0.35753706,0.3617425,0.3693559,0.37888896,0.38864896,0.39611018,0.40019432,0.40055165,0.39889637,0.3981819,0.4021736,0.41402003,0.43248114,0.45090425,0.45826116,0.44783628,0.4210625,0.38721395,0.3561255,0.3343685,0.32452527,0.32567585,0.33399305,0.3441331,0.3524002,0.3592492,0.3684468,0.3851808,0.41003546,0.43719757,0.45518503,0.4569242,0.44417322,0.42524016,0.40568134,0.38623977,0.36785746,0.35520753,0.35298193,0.3600416,0.36977115,0.37670115,0.38153517,0.3909597,0.40989026,0.43513808,0.45462862,0.45644745,0.43751606,0.40470016,0.3690302,0.339576,0.32223514,0.3186048,0.32581124,0.33750132,0.3478984,0.35586128,0.36512375,0.38158825,0.4064505,0.43191585,0.44404614,0.4347464,0.41226014,0.3956748,0.3990749,0.41821468,0.43679106,0.4409921,0.42988637,0.41229638,0.3976656,0.3909744,0.39212558,0.39937556,0.40851513,0.4149082,0.41319504,0.4035038,0.3894252,0.3774053,0.36938998,0.36494744,0.36188355,0.36047682,0.3610489,0.3635498,0.3662598,0.3681817,0.36947536,0.3714904,0.37483004,0.378732,0.38153163,0.38355705,0.38775706,0.39974543,0.41979158,0.44199225,0.45290175,0.44519177,0.419238,0.38590297,0.3551658,0.33451214,0.3256121,0.32736698,0.3360773,0.34739795,0.35768119,0.36618987,0.37533727,0.38963854,0.409186,0.42761263,0.43448058,0.42640117,0.41045785,0.39715824,0.38986793,0.38201174,0.36822054,0.35003838,0.33599582,0.33104298,0.33411077,0.34083188,0.3506372,0.3682314,0.39655378,0.43010437,0.4535503,0.4536091,0.4283209,0.39003643,0.3549665,0.33441463,0.32983068,0.33630598,0.34650937,0.355307,0.36058494,0.36464047,0.3720266,0.38836566,0.4133704,0.4391208,0.4520966,0.4465622,0.43061426,0.42098507,0.4256157,0.435889,0.43510735,0.41526616,0.38332215,0.353098,0.3339169,0.32708898,0.33017638,0.34059715,0.35491046,0.3673266,0.37177536,0.3671588,0.35847712,0.35243177,0.3515412,0.35384598,0.35732862,0.36275664,0.37139368,0.38204467,0.3905693,0.39403525,0.3926017,0.38924262,0.38650873,0.3850334,0.38413033,0.38473403,0.3901519,0.40552232,0.4298055,0.45440245,0.46375546,0.44942173,0.41430786,0.3723116,0.3367468,0.31489158,0.30726603,0.31035975,0.31939563,0.32917693,0.33599496,0.33964643,0.34446928,0.35809597,0.38276044,0.41119155,0.42797163,0.42474616,0.40706587,0.38950452,0.38025936,0.37448588,0.36356091,0.34507856,0.3263711,0.31508708,0.31369016,0.31922495,0.32808337,0.338526,0.3471661,0.3490102,0.3396653,0.32472005,0.31767604,0.33067048,0.35987064,0.3871497,0.3950505,0.38164958,0.35983446,0.34295514,0.3352708,0.3336049,0.33607468,0.34458637,0.35883808,0.3722613,0.37395248,0.36026976,0.33754745,0.31924215,0.31331405,0.3190714,0.33049527,0.34421825,0.36253738,0.38548502,0.40652487,0.41295803,0.40127942,0.3821348,0.37288272,0.37991622,0.39258644,0.3974017,0.39143637,0.38690373,0.39352202,0.4096174,0.42125142,0.41979668,0.40845522,0.39871058,0.3958471,0.3956643,0.3917234,0.38594076,0.38546833,0.392683,0.39860746,0.3941462,0.38190648,0.37711486,0.39034548,0.4159242,0.4350768,0.4334897,0.41054496,0.37735322,0.34628043,0.32520294,0.3165277,0.31837925,0.32715774,0.33864927,0.35044876,0.36211634,0.37588906,0.39531636,0.41927192,0.4399061,0.44503096,0.431805,0.40906644,0.390663,0.38121167,0.37521896,0.36648002,0.355523,0.3478671,0.3465331,0.34988216,0.3555914,0.36465284,0.38170174,0.4076374,0.4357122,0.4521235,0.44676602,0.4198215,0.38178125,0.34558704,0.32033324,0.30967262,0.31223476,0.32361054,0.3380431,0.35158768,0.3642267,0.37949422,0.40168414,0.4293605,0.45340875,0.4612348,0.44977823,0.43027663,0.41979071,0.42336258,0.4294571,0.42172042,0.39716685,0.36671206,0.345263,0.33706796,0.33963156,0.34754935,0.3606592,0.37576446,0.38789222,0.38879085,0.37910715,0.3654777,0.3581423,0.35928705,0.36589578,0.37276945,0.3790529,0.38534477,0.3918117,0.39640936,0.39769694,0.39589545,0.39281008,0.39020732,0.3889275,0.38979545,0.39425942,0.4054267,0.42506924,0.4504484,0.47176895,0.4774454,0.4613384,0.42782226,0.3876102,0.35216975,0.3284972,0.3194641,0.32284185,0.3336592,0.34581372,0.35619092,0.3655965,0.3779302,0.39711723,0.42135218,0.4421041,0.4478934,0.43588528,0.41473004,0.39663744,0.3855361,0.37481174,0.35856354,0.33819088,0.32157263,0.31340536,0.31236842,0.31506494,0.32190132,0.33929738,0.37083066,0.41098535,0.44230604,0.44937214,0.42806235,0.38926616,0.34813988,0.3167125,0.30060235,0.30004832,0.31086352,0.32573375,0.338192,0.3468162,0.35592905,0.37217093,0.39566076,0.41772905,0.4254167,0.41635954,0.40251485,0.4006348,0.4137108,0.42723283,0.42371345,0.4003191,0.37073538,0.3511494,0.34731248,0.3546978,0.36641905,0.37897435,0.38951984,0.3941795,0.3888924,0.3757794,0.36209944,0.35592034,0.35868815,0.36616918,0.37311247,0.37755403,0.38053653,0.38311362,0.38537693,0.38674697,0.38719425,0.38717005,0.3873742,0.38797832,0.38907647,0.3913921,0.39791676,0.4121485,0.43357614,0.45418087,0.46169922,0.44861722,0.4181182,0.38131285,0.3505799,0.3327373,0.32925096,0.3355589,0.34581932,0.35475704,0.36172476,0.3695787,0.3824832,0.40253368,0.42590714,0.44381857,0.44693384,0.434257,0.41440943,0.39753386,0.3867075,0.37595502,0.36175457,0.34601676,0.33637062,0.3348612,0.3390751,0.34494063,0.35424638,0.37323645,0.40378287,0.43780172,0.4577445,0.4511118,0.41804352,0.37176654,0.32785776,0.2967138,0.2822308,0.28259447,0.2930912,0.30758247,0.32182825,0.33591676,0.35346422,0.37934193,0.41111565,0.43791258,0.44506142,0.43123674,0.41256663,0.41059026,0.42949674,0.45100877,0.4520938,0.42616272,0.38620576,0.3505664,0.32910463,0.3229951,0.32919607,0.34514618,0.36502853,0.38160276,0.38665232,0.37871322,0.36104205,0.34172353,0.3261169,0.3174058,0.31477487,0.31679103,0.32112232,0.3259854,0.32989892,0.33253214,0.33445942,0.33717063,0.34167668,0.3481851,0.3558419,0.36556673,0.38045812,0.40366232,0.4310975,0.45119858,0.45134094,0.42974886,0.39571348,0.36231408,0.3368955,0.32083237,0.31338465,0.31321335,0.31819245,0.32420012,0.32890427,0.33372366,0.34503177,0.368601,0.40249622,0.43467823,0.4502677,0.44418207,0.42435122,0.40289918,0.38537344,0.36867574,0.34995303,0.32992932,0.31311414,0.3015785,0.29611513,0.2967852,0.30456388,0.31892487,0.33556834,0.34764072,0.35063162,0.3486837,0.35333022,0.3729014,0.40199843,0.4228908,0.4219377,0.4015884,0.37680635,0.3598518,0.3519434,0.34831288,0.34591582,0.34569907,0.3490312,0.35534695,0.36260638,0.37013432,0.37928143,0.39238277,0.40704083,0.4176445,0.4179509,0.4094219,0.3971995,0.38723728,0.3801038,0.3758235,0.37623212,0.38614616,0.4071927,0.43330738,0.45208147,0.45363164,0.4377741,0.41385245,0.39254597,0.37997496,0.3764548,0.38051984,0.3908957,0.4058046,0.42066708,0.42818144,0.42330322,0.40715587,0.3867036,0.36911651,0.35770825,0.35463437,0.3626722,0.38456783,0.41473866,0.43996942,0.4464663,0.43217477,0.40650615,0.38209233,0.36558214,0.3575294,0.3560041,0.35834572,0.36088416,0.36029983,0.35690293,0.3564769,0.3670192,0.3926523,0.4267019,0.4535911,0.4579647,0.4376876,0.40463528,0.37295282,0.34681043,0.3194996,0.28801027,0.25962743,0.24989004,0.26592365,0.3017411,0.34293506,0.38047853,0.41406235,0.44422445,0.46487096,0.46592447,0.4450223,0.41092846,0.37739947,0.35367385,0.3428407,0.34431085,0.35578915,0.37257954,0.38957378,0.4027934,0.4134446,0.42521238,0.44351694,0.46582958,0.482404,0.48003948,0.45861843,0.43379697,0.42406514,0.43221903,0.4409819,0.43348143,0.40750298,0.37779137,0.3582115,0.35360408,0.35982287,0.3713672,0.38319218,0.3882967,0.37835193,0.3494785,0.31147394,0.2860616,0.2931992,0.33289483,0.38339785,0.417454,0.42271778,0.4045155,0.3768507,0.34969866,0.32994318,0.31988785,0.32033348,0.3272722,0.33744693,0.34935343,0.36558938,0.3888537,0.4183167,0.44581985,0.45856425,0.44769716,0.41695598,0.38025382,0.3519068,0.33758458,0.3356311,0.34166804,0.35152268,0.36103618,0.36678347,0.3689871,0.3725706,0.38450682,0.40733758,0.43394613,0.4499699,0.44427645,0.4190593,0.38827205,0.36331233,0.3435787,0.31879994,0.28583145,0.25413677,0.24121565,0.25574052,0.2921702,0.33648992,0.37837994,0.41599193,0.4478149,0.4678435,0.46669722,0.44416654,0.40948322,0.37703052,0.35489738,0.34614947,0.34919253,0.36189994,0.37891367,0.39515853,0.40654793,0.41507575,0.42571113,0.44408607,0.4665253,0.48096785,0.4742827,0.44874644,0.42347717,0.417876,0.432929,0.44832015,0.4448861,0.41920707,0.38599694,0.36012653,0.3487424,0.35019362,0.3613163,0.3785353,0.39609325,0.40522528,0.39935192,0.38150272,0.36593187,0.36703947,0.38676667,0.4110572,0.42371872,0.42016038,0.4080083,0.39783823,0.39141628,0.3876926,0.3840749,0.38593295,0.39431298,0.4072678,0.41387776,0.41048655,0.40266165,0.4030222,0.41474894,0.42693546,0.42542294,0.40630856,0.3793657,0.3568249,0.34479436,0.34237292,0.34579393,0.35128102,0.3549503,0.35498676,0.353107,0.3554616,0.3680768,0.39216757,0.41914645,0.43559158,0.43130293,0.40997258,0.38367292,0.36289826,0.3460646,0.32676077,0.3039727,0.2867891,0.285467,0.3017092,0.32768515,0.3549813,0.3815317,0.41013944,0.43891004,0.4587214,0.45880106,0.43802163,0.40493712,0.37234005,0.34845963,0.3374931,0.33943596,0.3522822,0.37035826,0.3877463,0.40003344,0.408535,0.41807237,0.4340149,0.45284048,0.46338773,0.45389274,0.42821464,0.40412936,0.39890364,0.4108565,0.4218134,0.41560018,0.39263675,0.36649516,0.35022107,0.34736702,0.3553355,0.36896798,0.38294873,0.38903913,0.37966755,0.35425118,0.32470372,0.31128225,0.32665938,0.36519647,0.4037731,0.42216754,0.4149413,0.39200512,0.36520445,0.34206605,0.32894722,0.3322293,0.35734645,0.39688584,0.4337554,0.4465349,0.4307916,0.4001957,0.3780737,0.37441173,0.38183284,0.3875351,0.38962975,0.39775696,0.41702843,0.43904254,0.447737,0.43877578,0.4240849,0.41966948,0.4279573,0.43629643,0.4329623,0.41848007,0.40383205,0.3973055,0.39876702,0.40465584,0.412994,0.42516032,0.4375423,0.44132134,0.42655623,0.39567205,0.3662616,0.35749784,0.3727529,0.39379093,0.40231335,0.395419,0.38700557,0.38729003,0.39366257,0.398423,0.40138865,0.41243675,0.43597472,0.46400118,0.47967812,0.47714344,0.4672415,0.46595588,0.4752485,0.4796134,0.46561489,0.4371766,0.41372463,0.40961227,0.42314985,0.44179973,0.4565566,0.46658847,0.47274044,0.4687711,0.44623658,0.40602168,0.366618,0.34924868,0.36016467,0.3828621,0.3984221,0.40244067,0.40552834,0.41495124,0.42468512,0.42541644,0.41693604,0.41219106,0.42055288,0.43949518,0.45331076,0.4518369,0.43781614,0.42447594,0.41954175,0.41846526,0.4132308,0.40264335,0.3977345,0.40606332,0.42540887,0.43942156,0.4360249,0.41147816,0.37404242,0.33158037,0.29108655,0.25680086,0.23339884,0.22316788,0.22497606,0.2336279,0.242064,0.24346204,0.23463215,0.2176099,0.19961639,0.18864565,0.1886608,0.19798708,0.21171267,0.22621743,0.23895031,0.24740426,0.24700452,0.23493223,0.21297903,0.18885398,0.17081563,0.16260783,0.16189559,0.16424197,0.1672933,0.1710868,0.17546296,0.17805915,0.17608911,0.16954654,0.16258681,0.16047482,0.16538532,0.17467745,0.1837486,0.18927902,0.19071752,0.18892288,0.18551739,0.18195164,0.17875643,0.17379682,0.16384989,0.1482209,0.13240671,0.12435979,0.12774546,0.13688745,0.14217634,0.1380002,0.1275633,0.118521474,0.11684135,0.12347639,0.13554913,0.14902484,0.16039228,0.16776182,0.17094392,0.1712762,0.17060415,0.17052881,0.17180745,0.17440224,0.1777157,0.18054664,0.18085514,0.17545438,0.16181302,0.14069025,0.11834722,0.10335194,0.10080502,0.10740908,0.11438068,0.11449229,0.10826877,0.10315293,0.10711352,0.12281255,0.14556253,0.16823848,0.18559687,0.1975745,0.20635253,0.21433015,0.2215326,0.22651012,0.22675084,0.22105356,0.21029973,0.19776167,0.18683438,0.17969738,0.17625688,0.17463167,0.17183958,0.16566275,0.15708558,0.15003403,0.14903595,0.15454423,0.16367592,0.17223907,0.17880832,0.18323977,0.18564689,0.18527834,0.18308848,0.1821671,0.18684329,0.19843811,0.21362011,0.22433902,0.2224663,0.20399328,0.17229079,0.13669534,0.10841942,0.09581736,0.10092316,0.11924392,0.14181727,0.16045456,0.17131682,0.17588013,0.17745876,0.17826939,0.17838347,0.1776762,0.1770944,0.17858319,0.18256207,0.18664198,0.18572555,0.17568694,0.15612923,0.13173877,0.10924224,0.094334185,0.08967342,0.09536334,0.10892093,0.12472019,0.1348262,0.1333042,0.12017832,0.10203272,0.08651068,0.07852149,0.07898503,0.08814355,0.105435334,0.1283362,0.1512556,0.16919024,0.18100451,0.18962394,0.19802995,0.20682366,0.21458149,0.22036858,0.2237484,0.22379844,0.21736915,0.20144032,0.1760664,0.14772786,0.12627612,0.11928015,0.12584123,0.13799734,0.14640993,0.14719595,0.14219047,0.1357357,0.1305163,0.12790579,0.12977798,0.13856804,0.15445735,0.17289078,0.18717013,0.19307345,0.1918223,0.18784039,0.18494552,0.184721,0.18732125,0.19314198,0.20228712,0.21373563,0.22458053,0.23155558,0.23276031,0.22875197,0.22143644,0.21189196,0.19926284,0.18181157,0.15984632,0.1365607,0.116479896,0.10179618,0.09178033,0.084138274,0.07793365,0.07360516,0.07194551,0.07238895,0.07312247,0.072163664,0.068682335,0.06343543,0.05790628,0.053182453,0.04931413,0.045738548,0.042022776,0.038404495,0.035870027,0.03587927,0.039516315,0.046510532,0.054777816,0.06153087,0.0649659,0.06523242,0.063749425,0.061765697,0.059619203,0.056968886,0.053809375,0.05101416,0.050112147,0.052007522,0.0558285,0.05926383,0.060591936,0.060940877,0.063759916,0.0723255,0.08695813,0.105339766,0.123973034,0.13983321,0.15117128,0.158332,0.16403897,0.1714678,0.18195634,0.19510418,0.21167463,0.23653515,0.27347305,0.3197001,0.36160633,0.3856459,0.38696456,0.373583,0.35654914,0.3414444,0.3286226,0.3174112,0.31250373,0.3170453,0.3311163,0.3446143,0.3491205,0.33929792,0.32290044,0.30709887,0.29895794,0.2958235,0.29711762,0.30077577,0.30681017,0.31129175,0.3101783,0.30367672,0.29450423,0.28802237,0.2829757,0.27992406,0.27745464,0.2825475,0.297717,0.3222756,0.3433808,0.3503748,0.34061006,0.32468757,0.3148456,0.3157507,0.32376572,0.33297405,0.34094027,0.34660903,0.348815,0.34572387,0.3374715,0.32709265,0.31851876,0.3153827,0.31799197,0.32549408,0.33563495,0.34808537,0.36162055,0.3733896,0.37771896,0.37168595,0.35752693,0.3426217,0.33193204,0.32612124,0.3216189,0.317745,0.31722307,0.32457876,0.33869538,0.35148755,0.35337588,0.34223536,0.32695696,0.31823406,0.3212079,0.3306907,0.34091055,0.3473501,0.35146126,0.35314354,0.3537891,0.35256168,0.35111046,0.34855756,0.34470657,0.3377345,0.33009747,0.3243613,0.32416523,0.32899937,0.33689654,0.3447295,0.34929803,0.35020265,0.346571,0.34037733,0.32962778,0.31442204,0.29378438,0.2715874,0.2516406,0.23793423,0.23144068,0.23020786,0.22944145,0.22291458,0.20729214,0.18395716,0.15843351,0.1352326,0.11611742,0.1004293,0.08816615,0.079792894,0.07533228,0.07325321,0.0713464,0.068292595,0.06425628,0.060647458,0.058618054,0.058287263,0.058591995,0.058487598,0.057557747,0.05595473,0.05347668,0.04981628,0.045047324,0.040153857,0.036173955,0.033577453,0.032102205,0.03129865,0.03106068,0.03175122,0.034255743,0.03935967,0.047206465,0.056589574,0.065347336,0.07126576,0.073752165,0.07486472,0.07892466,0.09055424,0.11112943,0.137412,0.16169219,0.1768414,0.17980306,0.17452209,0.16862124,0.16927707,0.17847306,0.19318558,0.20799471,0.2190624,0.22446012,0.22371237,0.21657278,0.20492809,0.19212355,0.1816805,0.17431237,0.16883926,0.16372852,0.15819597,0.15145147,0.14373839,0.13848908,0.1449582,0.17330559,0.2294867,0.3038713,0.3765334,0.42286098,0.43444958,0.41808513,0.3926392,0.37140408,0.36003497,0.35734522,0.36082482,0.367963,0.37558147,0.38135538,0.38543975,0.39223623,0.4079245,0.43193445,0.4529719,0.45373544,0.4285046,0.39017668,0.35992685,0.34789822,0.34609285,0.34240377,0.33256423,0.32266065,0.31829953,0.32001635,0.32636154,0.33827373,0.3603954,0.39193523,0.42410442,0.44058993,0.43216267,0.40244758,0.36632577,0.33717954,0.31971323,0.3119652,0.31002745,0.312736,0.31878546,0.32712168,0.33613047,0.34819615,0.36862743,0.39963886,0.4326758,0.45043764,0.44284424,0.41864383,0.40053192,0.40231577,0.41745198,0.426195,0.41767144,0.39578414,0.37302458,0.35591057,0.34500206,0.33824873,0.33673784,0.3405521,0.3471872,0.35025918,0.3465825,0.3373982,0.32910278,0.3263478,0.33072504,0.33965993,0.34978166,0.35802647,0.36287603,0.36421475,0.36388543,0.36661616,0.37900892,0.40441063,0.4347506,0.45235002,0.4427196,0.41211817,0.38440812,0.38045713,0.39809707,0.41583058,0.41537675,0.39482927,0.36649612,0.34144214,0.32520187,0.31710204,0.31602678,0.3194886,0.32578555,0.3325034,0.34050605,0.3527592,0.3752052,0.4065764,0.43661296,0.4477218,0.4329685,0.40144873,0.37157643,0.35333776,0.3426807,0.332027,0.31968775,0.31117633,0.309566,0.3124951,0.31619164,0.3220553,0.33765826,0.36670735,0.40221688,0.42697656,0.42842844,0.40766177,0.37738892,0.3499857,0.33053032,0.31885374,0.31343123,0.3127688,0.31449243,0.31564382,0.31651,0.32181564,0.34007382,0.3728447,0.4098809,0.4314895,0.4279852,0.40920016,0.3976088,0.40440598,0.41939315,0.4220992,0.40291724,0.3697827,0.3379395,0.31717575,0.3089538,0.31078315,0.31952074,0.32959676,0.333666,0.32544804,0.30914268,0.2984517,0.31011763,0.34519532,0.3870952,0.41126236,0.40893945,0.39083675,0.3745621,0.36599633,0.35876954,0.34978852,0.34671295,0.36067772,0.38697553,0.40569338,0.39804685,0.36901984,0.34319302,0.34214056,0.36333904,0.38534823,0.38979468,0.3751482,0.35258517,0.332863,0.32027933,0.31484327,0.31514338,0.31973776,0.32623652,0.33207944,0.3371886,0.34540668,0.36432946,0.3943362,0.42430726,0.4339981,0.4146613,0.3769052,0.34251693,0.32419327,0.317506,0.3131063,0.30664992,0.3028002,0.30489755,0.312991,0.32484177,0.34129277,0.36616197,0.39877692,0.43030015,0.44485763,0.43382242,0.40163314,0.3639307,0.33398318,0.31635022,0.30846134,0.30650076,0.30916688,0.315974,0.3261437,0.33825254,0.35331345,0.37529686,0.40514496,0.43445694,0.4475026,0.4370002,0.4143468,0.40172133,0.4093037,0.42495131,0.42679226,0.40585098,0.37221667,0.3434132,0.32812667,0.3242087,0.32523057,0.32852837,0.33340362,0.33897564,0.34140697,0.33962774,0.33509138,0.33247867,0.3332725,0.3368586,0.3407658,0.34394526,0.34608725,0.34705648,0.3464962,0.3456334,0.3490065,0.36378932,0.39180577,0.422621,0.4359908,0.41962123,0.38386568,0.3563446,0.3567675,0.379595,0.40048417,0.40095624,0.38056526,0.35249105,0.328099,0.31162894,0.3019506,0.29742938,0.29713905,0.3001214,0.30507538,0.31254482,0.3262944,0.35223174,0.38892588,0.4237965,0.43788323,0.42380533,0.39285263,0.3646138,0.3493401,0.34083733,0.3304248,0.31576118,0.30401722,0.2998484,0.30328843,0.3101633,0.31825086,0.32770276,0.3378825,0.34540203,0.34607196,0.34272432,0.3464109,0.36723801,0.40014538,0.4240123,0.41864157,0.3835682,0.33790374,0.30387655,0.29020652,0.2933074,0.30530772,0.3222897,0.34009942,0.35333928,0.35478023,0.34431472,0.32818303,0.31616625,0.3119103,0.31351683,0.31864023,0.3300511,0.35393226,0.3886467,0.4214494,0.43377256,0.41990194,0.39222968,0.3709587,0.36565602,0.3685451,0.36937198,0.36721516,0.37324962,0.39159897,0.4117967,0.41477498,0.3952776,0.36761746,0.3524765,0.35645485,0.37015012,0.38273144,0.39428863,0.41001675,0.42631963,0.42867014,0.40807176,0.3760049,0.35808277,0.36927202,0.39939332,0.42275426,0.42258415,0.4016935,0.37555984,0.35752764,0.35304347,0.36292914,0.3861854,0.4184569,0.44690374,0.45517346,0.43608698,0.40344217,0.3833828,0.39123806,0.41574088,0.42946056,0.41590643,0.38310447,0.3519158,0.33455458,0.32760736,0.32573453,0.3317556,0.3536655,0.38722792,0.41464326,0.41830137,0.4015448,0.38620993,0.39103428,0.41256022,0.42887232,0.42296028,0.3950597,0.35990164,0.33003,0.3106005,0.299751,0.29544875,0.29597571,0.30077514,0.30828035,0.31881502,0.33439326,0.3599851,0.39401186,0.42606446,0.43895233,0.4277173,0.40549865,0.39462233,0.40335616,0.41888967,0.4213066,0.40275642,0.3719245,0.342618,0.3224096,0.31173602,0.30822563,0.3113376,0.31901038,0.32764766,0.33176032,0.33345547,0.34162608,0.36637947,0.40270647,0.43143344,0.4322408,0.40391037,0.3632338,0.3310258,0.31532168,0.31398928,0.32340306,0.34587243,0.38036862,0.4156485,0.43175182,0.42007264,0.3934934,0.37855056,0.3883822,0.41160968,0.42317736,0.40907642,0.37460265,0.33645138,0.3080912,0.295514,0.30014834,0.32229248,0.35827947,0.39587495,0.41718745,0.41212013,0.39003706,0.37438616,0.38035178,0.40111256,0.41502467,0.40995026,0.39166093,0.37462768,0.36413097,0.35553887,0.34648326,0.34486732,0.36074063,0.3896878,0.41164473,0.40862,0.385272,0.36649475,0.37276685,0.3998078,0.42262253,0.4205387,0.39273334,0.3553299,0.32441807,0.30668616,0.29967898,0.29792753,0.29725006,0.29599643,0.29472196,0.29675093,0.30754873,0.33313143,0.37058076,0.4061521,0.42026737,0.40842178,0.38613537,0.37776545,0.3908782,0.4103626,0.41391268,0.39310262,0.35813594,0.3257207,0.30674163,0.30281222,0.31045464,0.3250052,0.3403264,0.34944558,0.34706268,0.3379571,0.33578706,0.35349795,0.38627467,0.41213,0.40867066,0.3739467,0.3265892,0.28923985,0.27177835,0.27213833,0.28588736,0.3135712,0.35282505,0.3919067,0.4114165,0.40364805,0.38219497,0.3729658,0.38816658,0.41521326,0.42999673,0.41972363,0.39083412,0.35792318,0.33142328,0.31545165,0.31387237,0.33169925,0.3678067,0.40799662,0.42966953,0.4211549,0.39456484,0.37734434,0.3842326,0.40244678,0.4051269,0.38055578,0.3432529,0.31617856,0.3091712,0.31377506,0.32229748,0.33663914,0.36410192,0.39905468,0.4238719,0.4246802,0.40830895,0.39674687,0.40414464,0.422937,0.43169296,0.417618,0.38642022,0.354503,0.33365643,0.324263,0.32018006,0.31589484,0.31076816,0.30734882,0.30809426,0.31507412,0.3307208,0.35863677,0.3950974,0.4267738,0.43558964,0.41882208,0.39362064,0.38387838,0.3952445,0.41033208,0.40682185,0.37783584,0.33523834,0.2961227,0.2709924,0.2621324,0.26709604,0.28279498,0.30321017,0.3216273,0.3318741,0.33724317,0.34731248,0.37057242,0.39998212,0.41699722,0.40625903,0.371765,0.33249983,0.3069913,0.3004272,0.30862007,0.32697627,0.35594335,0.3922874,0.4231051,0.42926988,0.40556225,0.37042117,0.353632,0.36755303,0.39556646,0.4090824,0.39445284,0.3606383,0.3262762,0.30335864,0.29565123,0.30453917,0.33295062,0.3773036,0.4213854,0.44151688,0.4279013,0.39654866,0.37772572,0.38592306,0.40720284,0.41527668,0.39998564,0.3738984,0.35514852,0.34836426,0.34567568,0.34256828,0.34617278,0.3651972,0.39453635,0.41449416,0.40960452,0.38403043,0.3570404,0.3432342,0.34089112,0.34139523,0.34278587,0.35366163,0.3779614,0.40571716,0.4174054,0.40619895,0.38698092,0.38312766,0.3998898,0.41782057,0.41378662,0.38593328,0.3533373,0.33435968,0.3291841,0.32624945,0.31743848,0.30595222,0.29907206,0.3005049,0.3088757,0.32331976,0.34578896,0.37790442,0.4123226,0.4334514,0.4271414,0.3968803,0.36243865,0.34512588,0.34859514,0.36008897,0.3667071,0.36956492,0.37841305,0.39358363,0.40117574,0.38659605,0.3552158,0.32693443,0.31964147,0.32915765,0.3422486,0.34870672,0.3562361,0.37183502,0.39187217,0.39467838,0.36484063,0.30648515,0.24391454,0.19818105,0.17375879,0.16148232,0.15217978,0.14374365,0.13829865,0.1375342,0.14075409,0.14547728,0.1488538,0.14887308,0.14585693,0.14195362,0.1394241,0.13856108,0.137872,0.1358784,0.13271867,0.1296215,0.12710987,0.12367772,0.11662079,0.10405292,0.087289006,0.07123729,0.06268299,0.0661695,0.08093175,0.100943305,0.11880765,0.12985706,0.13354887,0.13201809,0.12790419,0.12352871,0.12063646,0.12051212,0.123562925,0.1293463,0.13630016,0.1415946,0.1409937,0.1304285,0.10858498,0.079115815,0.049234178,0.025790697,0.011521471,0.004867893,0.002458535,0.00162435,0.0011771945,0.0008258936,0.00055754936,0.00036056337,0.00022180291,0.00012907812,7.063254E-05,3.6403675E-05,1.816327E-05,9.860466E-06,7.2588205E-06]