[0.05933708,0.06535768,0.079744935,0.1004237,0.12375686,0.14493431,0.15974349,0.16616337,0.16531438,0.16024013,0.15405321,0.14826192,0.14297022,0.1381071,0.13455357,0.13396631,0.13728821,0.14363676,0.15046245,0.15540399,0.15772372,0.15854453,0.15942092,0.16129957,0.16411914,0.16767609,0.17186254,0.17652737,0.1807962,0.1830828,0.18221389,0.17799051,0.17173022,0.16478859,0.1583324,0.1522512,0.14582339,0.13751106,0.1259865,0.11082637,0.093348265,0.07619537,0.06194787,0.05181429,0.045432687,0.041850556,0.04044452,0.041006293,0.043203775,0.04615285,0.04875544,0.05032994,0.051169556,0.05216473,0.053947803,0.056280565,0.058761805,0.0623389,0.069922976,0.08438785,0.105754994,0.12970865,0.14996894,0.16094963,0.15952952,0.14491521,0.11921036,0.08838744,0.060834885,0.04391123,0.039830294,0.045879032,0.057657376,0.0725913,0.09020746,0.10947796,0.12772773,0.14159282,0.14976682,0.15316786,0.1540732,0.15648475,0.16674064,0.19381632,0.23951252,0.29522955,0.3391879,0.3562168,0.34293115,0.31424293,0.28431693,0.26318863,0.2504996,0.24425818,0.24107878,0.23865604,0.23491305,0.22885753,0.22106083,0.21311384,0.2070662,0.2039011,0.20305838,0.20284148,0.20220818,0.20154512,0.20203368,0.20412607,0.20722325,0.21026687,0.2123136,0.21252549,0.21022272,0.20542312,0.19925839,0.19365473,0.19024669,0.1893378,0.18982388,0.19030474,0.19020933,0.18995883,0.19034243,0.19196731,0.19528256,0.19950153,0.20250684,0.20088847,0.1931016,0.17988591,0.16407932,0.14745758,0.13072212,0.114158064,0.0991458,0.08743876,0.079802126,0.075164266,0.07125039,0.06599264,0.058855508,0.050982848,0.044377234,0.040371582,0.039016638,0.039304834,0.040132567,0.040711116,0.040635,0.039700832,0.039892916,0.04755163,0.07415529,0.12777151,0.20278256,0.27640852,0.32201436,0.32769084,0.30083406,0.25919303,0.21437162,0.17085953,0.12843375,0.08999299,0.06113415,0.050619617,0.06948007,0.12273779,0.20293252,0.28210095,0.3307804,0.3318634,0.29812664,0.25367507,0.22123963,0.20493941,0.19982676,0.19747967,0.19478579,0.1913753,0.18855214,0.18682949,0.18610275,0.18577887,0.18547027,0.18508798,0.18471807,0.18433113,0.18406212,0.18422067,0.18517794,0.1867693,0.1883151,0.18896814,0.18845373,0.18718912,0.18588346,0.18493505,0.1843345,0.18398064,0.18384968,0.1839781,0.18436335,0.1849469,0.18555479,0.18603168,0.1865592,0.18785141,0.19039963,0.19358255,0.19505352,0.19180594,0.181279,0.16263013,0.13681626,0.106881775,0.077213556,0.052215338,0.034246568,0.022891095,0.016174363,0.012893024,0.01431487,0.023656273,0.04378708,0.074451506,0.11140573,0.1484281,0.18020733,0.20426501,0.22011143,0.22851358,0.23072614,0.22865462,0.22385406,0.21709013,0.20872773,0.19999188,0.19276309,0.18789007,0.1832949,0.17493214,0.1597374,0.13909203,0.118719466,0.10540277,0.10228027,0.108140714,0.121813454,0.14779522,0.19454382,0.26351997,0.33977428,0.39601764,0.41160393,0.38652012,0.33998594,0.29378712,0.2604158,0.24094677,0.23129988,0.22702749,0.22531855,0.22509599,0.22650504,0.23015893,0.23647487,0.24529147,0.2558591,0.26648077,0.27495593,0.27926973,0.2789398,0.2748938,0.26875207,0.2613614,0.25266445,0.24219497,0.22999118,0.21695589,0.20447163,0.19407047,0.18679033,0.18296802,0.18192814,0.18233871,0.18297933,0.18337648,0.18381943,0.1851752,0.18852676,0.19506146,0.20405619,0.21253915,0.21601091,0.2129991,0.20612825,0.20054324,0.19903065,0.20061493,0.20167977,0.19849963,0.18838817,0.17033856,0.14541447,0.11680528,0.08863592,0.06447039,0.04606696,0.033355262,0.025072882,0.01971165,0.016184794,0.014041468,0.013473996,0.015041736,0.019141844,0.028155953,0.04767405,0.08876532,0.15598798,0.24185692,0.31954062,0.36586884,0.36999908,0.34477493,0.30530897,0.26414496,0.22296195,0.18297626,0.14469118,0.11340028,0.09835309,0.11433864,0.1678133,0.24887632,0.32639292,0.37176403,0.37307847,0.34459856,0.30724207,0.27736843,0.25832006,0.24734175,0.2397302,0.23281772,0.22599465,0.22006404,0.21583898,0.21367718,0.21368058,0.21615379,0.22097647,0.22695129,0.23175305,0.23308365,0.2302763,0.22478865,0.21969114,0.21751708,0.21898992,0.22260316,0.22625692,0.22853898,0.22922431,0.22867514,0.22736524,0.22569023,0.22371869,0.22092785,0.21643643,0.20971785,0.20145623,0.1932553,0.18704933,0.18327628,0.18059696,0.17542224,0.16422687,0.14471744,0.11801275,0.08786883,0.059725065,0.037849378,0.023947353,0.016765624,0.013638348,0.012292109,0.012633751,0.017534746,0.03173278,0.058100615,0.093964756,0.13055557,0.15763484,0.16860281,0.16354048,0.14733835,0.12707831,0.108401954,0.09428239,0.08477336,0.0796503,0.079745434,0.08672931,0.100098275,0.11620635,0.1296003,0.13660295,0.13696875,0.13298155,0.1270365,0.11984968,0.11109268,0.10266978,0.10235366,0.124104775,0.17729674,0.25476345,0.32804748,0.36627176,0.35762072,0.3184257,0.27639738,0.2501543,0.24145417,0.24276154,0.24742977,0.25296175,0.25883648,0.2647041,0.27003196,0.27572516,0.2830951,0.29270062,0.302627,0.30968836,0.31157532,0.3083334,0.3019979,0.29475793,0.28822646,0.2828878,0.27889875,0.27583683,0.2734923,0.2715068,0.2697957,0.26798394,0.2658184,0.26312324,0.25980943,0.2555542,0.24963337,0.24187416,0.23278724,0.22382553,0.2162661,0.21156843,0.21170795,0.21823497,0.23012994,0.24148476,0.24484418,0.23568928,0.21650916,0.19372755,0.1729728,0.15598625,0.1418475,0.12969173,0.11930414,0.11140072,0.10719683,0.108523756,0.11582967,0.1266845,0.13636196,0.14090033,0.13982016,0.13567834,0.1318935,0.13002108,0.13054658,0.13597877,0.15446062,0.19605076,0.2616193,0.3342001,0.3845303,0.39173257,0.3575945,0.30399135,0.2531725,0.21517892,0.1872062,0.16372192,0.14357537,0.13233954,0.14101268,0.17834301,0.24247201,0.31382433,0.36542073,0.37847972,0.35614777,0.3171042,0.28133562,0.25818238,0.24660023,0.24128427,0.23738597,0.23176636,0.22270273,0.21020035,0.19616522,0.18360801,0.17493922,0.17083019,0.17006373,0.17077869,0.17150027,0.17179859,0.17184025,0.17195882,0.1722505,0.17265712,0.17285995,0.1724801,0.17123272,0.16942602,0.16781944,0.1671468,0.16730976,0.16747181,0.16669394,0.16485561,0.16253339,0.16053438,0.15949424,0.16045304,0.16539305,0.17664151,0.19498985,0.21792696,0.24027969,0.25693586,0.26582727,0.2681986,0.2667099,0.26302233,0.25705323,0.24768941,0.23395933,0.2164431,0.19737203,0.18032815,0.16788448,0.16086759,0.15776652,0.15662743,0.15572761,0.1544053,0.15257858,0.15038477,0.14796026,0.14516096,0.14196819,0.13832492,0.1344365,0.1304907,0.12653509,0.12226529,0.11689267,0.10972052,0.10057395,0.090207614,0.07965157,0.069597915,0.060101002,0.052092854,0.0502092,0.06556582,0.111438744,0.19196999,0.28883672,0.3671274,0.39550772,0.37196788,0.3204997,0.27341664,0.24654137,0.23908015,0.24099778,0.24511434,0.24813457,0.24962163,0.25024915,0.25199416,0.25816444,0.2708007,0.28849283,0.30557933,0.31581625,0.315606,0.3056985,0.28950801,0.27124402,0.2547522,0.24260694,0.23589544,0.23434918,0.237637,0.24575229,0.2578814,0.27152672,0.28289306,0.2896587,0.29188707,0.29194948,0.29194322,0.2929876,0.2945803,0.2956855,0.2950096,0.29112032,0.28295934,0.26999897,0.25388828,0.2372386,0.2232197,0.21285276,0.20547885,0.1987993,0.19080813,0.18033205,0.16774239,0.15469258,0.14368124,0.13706306,0.13587485,0.13903315,0.14324819,0.14447372,0.14003761,0.13045053,0.1187431,0.10835522,0.10174926,0.101533465,0.11245948,0.14054929,0.18969099,0.25524965,0.3227324,0.3709631,0.38488415,0.36398062,0.32329473,0.28154394,0.24985568,0.22746378,0.20627576,0.17944236,0.1489626,0.12905262,0.14055069,0.19455266,0.27862498,0.3572167,0.39558825,0.38226566,0.33562246,0.2844624,0.24862021,0.23054616,0.22316618,0.21850841,0.21258484,0.20452695,0.19520794,0.18567722,0.1768779,0.16912703,0.16257752,0.15721302,0.15348943,0.15199284,0.15315074,0.1564257,0.16011761,0.1617478,0.15938915,0.15308648,0.14574443,0.14155789,0.14382933,0.15228426,0.16387597,0.17424883,0.1807176,0.18258345,0.18118833,0.1783187,0.17539398,0.17273629,0.17054938,0.17031777,0.17540269,0.1884165,0.20826043,0.22890836,0.24328184,0.24676354,0.23924041,0.22298194,0.20162757,0.17920367,0.15981847,0.14572667,0.13668793,0.13103968,0.12830889,0.12959392,0.13647908,0.14850895,0.1633225,0.17676456,0.18521243,0.18628079,0.1809063,0.1725523,0.16612728,0.16475499,0.1689065,0.176785,0.18671675,0.19790955,0.20988609,0.22109754,0.2289375,0.23105156,0.2262926,0.21470012,0.1971087,0.17507768,0.15123601,0.12929456,0.11566264,0.1204792,0.15446411,0.21867056,0.2963353,0.3579695,0.38078427,0.36394742,0.32658207,0.29004684,0.26438117,0.24716061,0.23168528,0.21374981,0.19306247,0.17232531,0.15512113,0.14533187,0.14577264,0.1579765,0.18055658,0.20875049,0.2348424,0.25149122,0.25457716,0.24415559,0.2228864,0.19480835,0.16486631,0.13873048,0.121160515,0.11482257,0.11933843,0.13214473,0.14886819,0.16483045,0.17629252,0.18199234,0.1832618,0.18267979,0.18231378,0.1823153,0.18192363,0.18063556,0.17975508,0.1802466,0.18148796,0.1799712,0.17316937,0.16138761,0.1485772,0.13840133,0.1323015,0.12884052,0.12559591,0.120034516,0.11098095,0.09908345,0.08768865,0.080720924,0.08082914,0.086886175,0.09515545,0.101530254,0.10460193,0.10602804,0.10866246,0.11384892,0.1204193,0.12779112,0.14005905,0.16766067,0.21700819,0.28096405,0.3345743,0.35458598,0.33386064,0.2886708,0.2399817,0.2020287,0.17601351,0.15944435,0.15021765,0.15012228,0.16349153,0.19578911,0.24647276,0.30271363,0.341185,0.34314558,0.3086892,0.2573271,0.21239479,0.18655968,0.17852609,0.18054712,0.18558376,0.19005902,0.1930645,0.1948845,0.19594015,0.19617052,0.19523408,0.19302516,0.18997623,0.18700713,0.18483739,0.18367232,0.18302965,0.18240719,0.18141955,0.17991622,0.17774497,0.17504688,0.17224194,0.16985027,0.16805065,0.16670774,0.16562273,0.16489457,0.16496463,0.16668141,0.17105453,0.17876966,0.18911888,0.19983168,0.20812441,0.21305043,0.21599673,0.21954937,0.22476375,0.23064905,0.23479675,0.2353474,0.23207957,0.22645356,0.2208308,0.21704526,0.21613383,0.217941,0.22081561,0.22240011,0.22133641,0.22026163,0.22234939,0.22862612,0.2341909,0.23523743,0.23152143,0.22813676,0.2274841,0.22737233,0.22206567,0.20893325,0.19091493,0.17480189,0.16645913,0.16748975,0.17491792,0.18332392,0.18733013,0.18417029,0.17422527,0.16038011,0.14491804,0.1288743,0.114625275,0.110450335,0.13045627,0.18374602,0.2633228,0.34220257,0.39065564,0.39396763,0.3625493,0.3188945,0.28213933,0.25774387,0.24145764,0.22661404,0.20979689,0.19156037,0.17450984,0.16116486,0.15328874,0.15248662,0.16049586,0.17739888,0.19988357,0.22116886,0.23511858,0.23946053,0.23713057,0.23270284,0.22988729,0.22989915,0.23253314,0.23642464,0.23932463,0.23841532,0.23160599,0.2189041,0.20302653,0.18807013,0.17731243,0.17120057,0.16793944,0.1654028,0.16321921,0.16289587,0.1670952,0.17820413,0.19730662,0.22251205,0.2488339,0.26922664,0.27799705,0.27298203,0.2560605,0.23142202,0.20374982,0.17723675,0.15467288,0.13709477,0.12339276,0.111748196,0.100755334,0.09069239,0.08255753,0.07730806,0.07458595,0.07290667,0.06995513,0.06397292,0.054787576,0.046212528,0.04670665,0.06962871,0.12351414,0.20320831,0.28230917,0.32953945,0.32684308,0.28457174,0.22722222,0.17612363,0.13643493,0.1044419,0.0764075,0.05531475,0.049691364,0.072483666,0.13161358,0.22211532,0.3187492,0.39086875,0.4179735,0.40354332,0.36394247,0.31632093,0.2689447,0.22567461,0.18983173,0.16508375,0.15226185,0.14815964,0.14739019,0.14570613,0.14199974,0.13757992,0.13459702,0.13485205,0.141129,0.15682764,0.18351819,0.21690024,0.24711327,0.2646476,0.26648018,0.2575302,0.24553634,0.23569171,0.22855107,0.2219705,0.21391,0.20363109,0.19141017,0.17791133,0.16392358,0.150687,0.13981457,0.13331719,0.13317172,0.14076085,0.15535323,0.17319971,0.18878418,0.19845544,0.20311034,0.2062726,0.21039368,0.2143967,0.21635813,0.21545796,0.21262991,0.20792572,0.2001913,0.18757792,0.1697947,0.14815745,0.12590514,0.10680253,0.09444723,0.09034139,0.09354043,0.1013112,0.11061049,0.11901402,0.1244835,0.12561494,0.12130543,0.11110001,0.09521651,0.07567697,0.05640988,0.041726988,0.033818446,0.031496685,0.031631146,0.03129039,0.029621815,0.028161751,0.031528737,0.04730985,0.08487463,0.1489047,0.23152585,0.30939734,0.35478923,0.3539801,0.3179654,0.27413586,0.24642725,0.24111469,0.24738896,0.24928214,0.23736228,0.2139845,0.18910903,0.17219512,0.16570973,0.16539848,0.16551204,0.16341078,0.16051126,0.15929884,0.16076034,0.16355221,0.16607676,0.1686994,0.17453885,0.18725155,0.20712906,0.22917478,0.24464415,0.24678732,0.23487343,0.21496344,0.19535716,0.18198101,0.17610525,0.17591964,0.17929883,0.1851408,0.19269232,0.20024012,0.20504452,0.20432223,0.19658661,0.18168147,0.16100265,0.13687237,0.11279136,0.09207958,0.077086665,0.0678845,0.062920764,0.059911508,0.05744046,0.055144966,0.05361043,0.053156514,0.053488463,0.05320937,0.05099294,0.046439976,0.040996578,0.036866877,0.03523235,0.03525206,0.03475654,0.03286238,0.033165928,0.04514226,0.08222826,0.14982118,0.23680453,0.31314635,0.35095105,0.34037653,0.29678607,0.2434278,0.19802906,0.1666225,0.14866418,0.14094377,0.1413355,0.15182506,0.18109597,0.23414727,0.30299735,0.35964718,0.37772956,0.34849396,0.29222122,0.23620701,0.19983059,0.18366934,0.18067616,0.1827318,0.1863636,0.19018413,0.1940829,0.19738169,0.19961269,0.20052333,0.20102733,0.20201983,0.20408541,0.2064213,0.20769721,0.20650041,0.20254977,0.19668092,0.19038118,0.18485011,0.18081914,0.17888136,0.17941143,0.18203257,0.18496275,0.1862583,0.18501024,0.18247233,0.1803742,0.17962754,0.17931461,0.17851551,0.17739554,0.17767376,0.17921804,0.17879264,0.17031825,0.15121591,0.12476019,0.09948168,0.08224267,0.075082146,0.07507803,0.07786769,0.08023834,0.081784986,0.085540526,0.09578637,0.114468545,0.13733421,0.15552711,0.15973137,0.14627665,0.11841035,0.08499787,0.05535558,0.035774812,0.027865624,0.030401632,0.040619303,0.054758955,0.06758126,0.07444481,0.073366165,0.0664635,0.057575185,0.049912095,0.044253107,0.039765447,0.03524504,0.030174593,0.02542963,0.02390679,0.032838795,0.06369181,0.12858763,0.22798328,0.34170023,0.43122602,0.46205565,0.42635396,0.3484803,0.2658477,0.20523922,0.17252463,0.15979068,0.15650076,0.15883194,0.17094068,0.20458715,0.26529595,0.3439281,0.41064802,0.43755123,0.41496977,0.36302683,0.31047904,0.27845737,0.2682624,0.27097073,0.27576098,0.27933788,0.28647983,0.30779466,0.34746063,0.3949751,0.42573515,0.4202797,0.37937585,0.32443097,0.27895316,0.25319508,0.24263263,0.23751493,0.23231395,0.22948611,0.23838489,0.27009693,0.3262423,0.39212525,0.4400252,0.44945514,0.42143664,0.3781565,0.3424488,0.32414317,0.31790078,0.31571946,0.31350243,0.31460974,0.3251635,0.35105005,0.38963583,0.427901,0.44625196,0.43391252,0.3967607,0.35402012,0.3222277,0.30550972,0.29648516,0.2851819,0.26830873,0.25259742,0.25421974,0.28694937,0.3487122,0.41375437,0.44723907,0.42989126,0.37295952,0.30748034,0.26087448,0.24249406,0.24546619,0.25738272,0.2684896,0.27669287,0.2866892,0.30442896,0.32903895,0.35079595,0.3578402,0.34539267,0.3188189,0.28883055,0.26400408,0.24816312,0.24072301,0.23977858,0.24203296,0.24427922,0.2438274,0.2404644,0.23596705,0.23289025,0.23328592,0.23779209,0.24532516,0.25232247,0.2536645,0.24514295,0.22635436,0.20178127,0.17824046,0.16107203,0.15153892,0.1474417,0.1458993,0.14496721,0.14432566,0.14420359,0.14554201,0.14923406,0.15605474,0.16526513,0.17484356,0.1817631,0.18420692,0.18272026,0.18093866,0.18318318,0.19100922,0.20102708,0.20682426,0.20424311,0.19353484,0.17799683,0.15917765,0.1371486,0.11311131,0.09388133,0.090807,0.114435665,0.1667297,0.23648207,0.3040687,0.35158744,0.37373614,0.37688816,0.37196764,0.36568955,0.36042953,0.3568144,0.35457745,0.34961835,0.33416745,0.30291593,0.2597692,0.2169682,0.18599932,0.17000781,0.16378874,0.16081609,0.15801376,0.15597415,0.15551029,0.15510805,0.15180051,0.14456192,0.14025314,0.15327774,0.19884463,0.27612117,0.36382332,0.4279214,0.44847444,0.4290185,0.39315102,0.36101994,0.34092367,0.32827368,0.31685996,0.30322373,0.2886585,0.27622256,0.2681129,0.26432315,0.2630473,0.26295248,0.26414332,0.26867697,0.27887893,0.29564264,0.316829,0.33766243,0.35308552,0.36007455,0.35862598,0.350381,0.3375142,0.32224134,0.30731717,0.29527786,0.28748727,0.28348777,0.28199747,0.28180358,0.28207818,0.281971,0.28076,0.27901778,0.27967128,0.28757167,0.3048564,0.327119,0.3424678,0.34025487,0.31814462,0.28517634,0.25333765,0.23024018,0.2157348,0.20547698,0.19546144,0.18437451,0.17460565,0.17037553,0.17498136,0.18726669,0.20166309,0.21164459,0.21377444,0.20920198,0.2015972,0.19448476,0.18946195,0.18615675,0.183293,0.18163413,0.18733113,0.21302964,0.2681537,0.34680495,0.42159823,0.46117926,0.45179144,0.40779552,0.35513747,0.3107606,0.27424195,0.23762129,0.19763125,0.16156597,0.14371738,0.1597731,0.21424441,0.2949336,0.3718318,0.41778097,0.42251346,0.3999926,0.3709912,0.34999144,0.33795872,0.32994846,0.32152584,0.31229866,0.30430767,0.299876,0.29976702,0.302799,0.3066367,0.3093797,0.3108125,0.31173494,0.31285718,0.31332275,0.31166008,0.30619892,0.29679522,0.28463972,0.2727647,0.26423678,0.26100767,0.2624889,0.266312,0.26955464,0.27037594,0.26859036,0.26548854,0.26283464,0.26200554,0.26313367,0.26581588,0.26994872,0.27744246,0.2899789,0.3069444,0.3222647,0.3281225,0.31816354,0.29225382,0.254773,0.21346408,0.17567772,0.14685003,0.12841015,0.11863685,0.11549143,0.11976471,0.13560195,0.16618681,0.20918386,0.25509045,0.29233846,0.3136487,0.3192471,0.3143361,0.3047136,0.29431835,0.28498515,0.2767258,0.26817042,0.257555,0.24522133,0.23395722,0.22778423,0.22787319,0.23228861,0.23695582,0.23976755,0.24037068,0.23994578,0.23898703,0.23781113,0.23832415,0.24539797,0.26819384,0.31166458,0.37112403,0.42578468,0.4545217,0.44671014,0.41298786,0.3702356,0.33207667,0.300367,0.27374005,0.25132778,0.23543169,0.22727925,0.22601797,0.22899657,0.2340167,0.23989475,0.24565876,0.25004843,0.25184956,0.2513968,0.2506524,0.252587,0.2591196,0.2700071,0.28240335,0.2922469,0.29579937,0.2913866,0.2800795,0.26550606,0.25199953,0.24206568,0.23546068,0.23029344,0.22561274,0.22151352,0.21849711,0.21629708,0.21615775,0.22189601,0.2395509,0.27037096,0.30757,0.33634925,0.34573564,0.33450142,0.3132867,0.2936491,0.28191864,0.2758595,0.2698062,0.25931117,0.24465275,0.2306038,0.222507,0.22190666,0.22514324,0.22720663,0.22635996,0.2243519,0.22241013,0.21797653,0.20658772,0.18699919,0.16372508,0.14543341,0.14127696,0.15954362,0.20587647,0.27612543,0.35061398,0.3988415,0.40082487,0.36229968,0.30973914,0.2667279,0.23750474,0.21169537,0.17940174,0.14295684,0.11587104,0.117498875,0.16271071,0.24942036,0.35160354,0.4284275,0.45072785,0.41930202,0.36151943,0.30721235,0.27132425,0.25285724,0.24521415,0.24387015,0.24711502,0.25455046,0.26522192,0.27730238,0.28705958,0.29074407,0.28653118,0.277643,0.2698405,0.26825932,0.27253008,0.27861214,0.2813331,0.27934527,0.27417126,0.26954484,0.26787552,0.271019,0.2788807,0.29044262,0.30241188,0.3117261,0.31632793,0.31695077,0.31492913,0.3118092,0.30771855,0.30325815,0.29944274,0.29979885,0.30596423,0.3160219,0.32083663,0.31262675,0.2888389,0.25694036,0.22593917,0.20260412,0.1871425,0.17643781,0.16566141,0.15221578,0.13779801,0.12943047,0.13417661,0.15453956,0.1850485,0.21754438,0.24472432,0.26366526,0.27398995,0.27738008,0.27673736,0.27478305,0.27318552,0.27125022,0.26761118,0.2610828,0.2520722,0.24234551,0.23404224,0.2288645,0.22680311,0.22645943,0.22559468,0.22299522,0.21892007,0.21401078,0.20784481,0.20172302,0.20250304,0.22411697,0.27434194,0.34395683,0.40307948,0.42459825,0.4019102,0.35464093,0.30816963,0.27789202,0.26464185,0.2625238,0.26547945,0.26916173,0.27108702,0.2707839,0.26943696,0.26906082,0.27070263,0.27412578,0.2774448,0.27879336,0.2772024,0.27364495,0.26980588,0.26702178,0.2653531,0.2642608,0.26352277,0.26384446,0.2663335,0.27180353,0.27955186,0.28757715,0.2926915,0.29272422,0.28746715,0.2796459,0.27248335,0.2676566,0.2643616,0.26221865,0.26410052,0.2736676,0.29106316,0.30846328,0.3170686,0.31155363,0.29561758,0.27479377,0.2545162,0.23636623,0.2214263,0.20913734,0.19791687,0.18459292,0.1672164,0.14652531,0.12626638,0.11009704,0.09928309,0.09201071,0.0857595,0.07928383,0.073211215,0.0686285,0.06589481,0.06426466,0.06483674,0.074098505,0.10654402,0.17469753,0.27547133,0.3792062,0.44647583,0.45297563,0.4091748,0.3463684,0.29322982,0.25821492,0.23526298,0.21604912,0.20036846,0.19667538,0.21883045,0.2738096,0.3522608,0.42432916,0.4584442,0.44108835,0.3879526,0.32785666,0.28312466,0.25825617,0.24637502,0.23926805,0.23320246,0.22863404,0.2271505,0.22913848,0.23250602,0.23420268,0.2324545,0.22853051,0.22544457,0.22614516,0.2318166,0.24277008,0.25804552,0.27576044,0.29217306,0.3035585,0.3076658,0.30506918,0.2984574,0.2903963,0.28213406,0.27314845,0.26345423,0.25439382,0.24832998,0.24626541,0.24692146,0.24796738,0.24904616,0.25327703,0.26570213,0.28745964,0.3128774,0.3310412,0.33485368,0.3254012,0.3108212,0.29804125,0.2887691,0.28005162,0.26820847,0.2510608,0.2284381,0.202703,0.17900874,0.16336142,0.15937929,0.16525419,0.1758873,0.18565917,0.19205408,0.19454704,0.19406278,0.19144006,0.18783545,0.18409497,0.18089657,0.1789558,0.1808322,0.18975367,0.2076043,0.23061581,0.25186852,0.26489437,0.26919916,0.26815867,0.26629695,0.26538655,0.26535848,0.2661488,0.27107373,0.28713694,0.3200219,0.36546388,0.40626088,0.4217285,0.4035115,0.36213902,0.31828597,0.28755483,0.27289268,0.2679636,0.26412806,0.2568943,0.24873894,0.25014699,0.27268818,0.31788662,0.36932686,0.400651,0.39460292,0.35647658,0.3084739,0.2720099,0.25513914,0.25365612,0.25941148,0.26794532,0.28062317,0.30364263,0.3404959,0.38610864,0.42405537,0.4372115,0.41867745,0.37820128,0.33428702,0.30250457,0.28801063,0.2865164,0.29095927,0.29669526,0.3041953,0.3176227,0.33992288,0.36803472,0.39080036,0.39650843,0.38091978,0.3523403,0.32401082,0.30588853,0.29882428,0.29851365,0.2998444,0.3014321,0.3057184,0.3181971,0.3415332,0.37095502,0.3927994,0.39397025,0.371256,0.33490947,0.30038258,0.27881834,0.2729383,0.27882123,0.29015458,0.30181825,0.31320098,0.3292961,0.35341302,0.38136718,0.3977847,0.3903347,0.35785517,0.31527546,0.27901945,0.25894022,0.2533979,0.25607252,0.26072022,0.2662829,0.27777556,0.30420306,0.34753606,0.39644015,0.42713174,0.42356434,0.38768616,0.3404199,0.3015163,0.280273,0.27302456,0.27337244,0.27609655,0.2811184,0.2918112,0.31483495,0.3503165,0.38827202,0.40818486,0.3970562,0.35802782,0.31096926,0.2740499,0.2539257,0.24468042,0.23822711,0.23179035,0.23050857,0.24457043,0.2807314,0.33399618,0.38499245,0.411538,0.4040555,0.3727471,0.33812118,0.31605324,0.31065026,0.31730914,0.32909015,0.33996275,0.34681284,0.35114303,0.35746536,0.36779296,0.3767232,0.37498543,0.35803986,0.3312041,0.30520245,0.2879245,0.2802247,0.27824947,0.27754065,0.27630147,0.27643928,0.2834339,0.30232573,0.3319031,0.36175957,0.37786642,0.37312675,0.3529079,0.33028337,0.31567132,0.31116048,0.31250426,0.3147583,0.316376,0.31950274,0.32857093,0.34571996,0.3677577,0.38493785,0.38813397,0.37521413,0.35416546,0.335525,0.32546803,0.3226544,0.3227152,0.32230458,0.3210621,0.321416,0.32805943,0.34480128,0.3692315,0.39000705,0.39344645,0.37465945,0.34284672,0.31392822,0.2984091,0.29566872,0.298223,0.29917112,0.29734346,0.29663506,0.30411828,0.32229546,0.34664974,0.36360613,0.3629211,0.34276262,0.3141605,0.2887453,0.27388796,0.26822636,0.26862928,0.27249146,0.2807659,0.29552832,0.31867227,0.34781042,0.3754901,0.39084962,0.38704333,0.36587515,0.3374823,0.31299546,0.29838237,0.29283658,0.29219446,0.29310673,0.2955786,0.30263194,0.31771472,0.3397545,0.3613249,0.37133265,0.36373165,0.341997,0.31706834,0.29858533,0.28973225,0.28766826,0.28789344,0.28767312,0.28765118,0.29198754,0.30607685,0.33060017,0.35819575,0.3755888,0.3747481,0.35807052,0.33711848,0.32132387,0.31377986,0.31124333,0.3103501,0.30944204,0.30992642,0.31493893,0.32754484,0.34650907,0.36475825,0.37312242,0.36749193,0.35156736,0.3330325,0.31745842,0.3065807,0.30014935,0.29774997,0.2991667,0.3043628,0.31521502,0.33338776,0.35740164,0.37779152,0.38299677,0.36631727,0.33378056,0.29762283,0.26908836,0.2512442,0.24237172,0.23876806,0.23700814,0.23283143,0.22228706,0.2040772,0.1808682,0.15764044,0.13834055,0.12441809,0.11510473,0.10919096,0.105444334,0.103005774,0.10081446,0.09826088,0.09576056,0.0958317,0.102180175,0.116997056,0.13825451,0.15970619,0.1748318,0.18041843,0.17803614,0.17160708,0.16516615,0.16073437,0.15790181,0.15371978,0.1450746,0.13133325,0.11668383,0.10768529,0.10945959,0.12151631,0.13888149,0.15530957,0.16720504,0.17422247,0.17776267,0.17895925,0.17744507,0.17158477,0.15942034,0.14060472,0.11799297,0.09819684,0.089223765,0.09592974,0.11600705,0.14033234,0.1585666,0.16493595,0.16032128,0.14860976,0.13301991,0.1145687,0.09410077,0.07360552,0.05616754,0.04443716,0.04016858,0.043994967,0.05526425,0.07099717,0.086678624,0.098262735,0.1046148,0.10692743,0.1065219,0.10438376,0.10534453,0.122593254,0.17297685,0.26045042,0.36277142,0.43862435,0.4569426,0.41896257,0.35528192,0.29902312,0.26625514,0.25402662,0.25245097,0.2536861,0.25448963,0.25494385,0.2566496,0.26069236,0.26620153,0.27042136,0.27116823,0.2682826,0.26408386,0.26103237,0.26049218,0.2617822,0.26378074,0.26544067,0.2665803,0.26679754,0.26602173,0.2641591,0.26190814,0.25972378,0.25789145,0.25599846,0.25361076,0.250741,0.24818599,0.24733497,0.24879341,0.25209427,0.25545588,0.2570411,0.25408027,0.2436688,0.22325593,0.19392407,0.15952511,0.1253212,0.094537675,0.06895051,0.049165595,0.03537134,0.026630005,0.021351999,0.01827541,0.017593913,0.021096064,0.031440873,0.05020946,0.07625828,0.10507914,0.13090736,0.14914411,0.1584245,0.16002415,0.15686123,0.15180017,0.14909036,0.15642333,0.18641363,0.24779607,0.33285913,0.41271105,0.4531711,0.44038606,0.38830507,0.32529947,0.2691302,0.22288238,0.18163596,0.14506297,0.11896231,0.11385699,0.14339322,0.21299617,0.31046394,0.39831328,0.4397056,0.4205173,0.3646855,0.30747926,0.27362132,0.2630333,0.26487473,0.2685127,0.27046952,0.27105296,0.27164885,0.27271354,0.27416208,0.2756509,0.27709556,0.27832857,0.27900115,0.27864197,0.2769667,0.27440658,0.27179417,0.2701584,0.2697171,0.27000853,0.27019355,0.27011907,0.27041912,0.2717407,0.2740357,0.27652648,0.2786187,0.28010395,0.28106213,0.28153625,0.28162348,0.2816789,0.2824318,0.2846777,0.28813827,0.28970942,0.28396952,0.26608148,0.23661876,0.20175517,0.1703518,0.1482551,0.1371097,0.13477491,0.13796473,0.1429645,0.14687806,0.1481747,0.14720108,0.14559342,0.14517303,0.14686431,0.15015316,0.15343179,0.15515395,0.15478407,0.1530702,0.15103947,0.14931028,0.14786606,0.1467311,0.14630282,0.1471017,0.14949267,0.1531924,0.15752704,0.16124143,0.1630832,0.16206475,0.1579302,0.15138806,0.1438384,0.1374952,0.13635522,0.14773996,0.18266046,0.24711931,0.33335578,0.4132367,0.4556549,0.4442514,0.39270663,0.32893446,0.27852055,0.24919973,0.2376728,0.236207,0.2399437,0.24510133,0.24906373,0.2496937,0.2471375,0.24312556,0.23995203,0.23858647,0.23847269,0.23841196,0.23753054,0.23586975,0.2336935,0.23133034,0.22874902,0.22619556,0.22390491,0.22203,0.22019438,0.21795982,0.21494979,0.21092398,0.2057357,0.1998425,0.19430703,0.19003372,0.18697865,0.18452995,0.18315823,0.18443252,0.19019337,0.19875021,0.20545058,0.20305054,0.18806313,0.16090013,0.12734759,0.0933406,0.06434282,0.04268116,0.028703101,0.020673623,0.016440304,0.014284859,0.013362259,0.0132424785,0.013399818,0.013196357,0.01226639,0.010737218,0.009092606,0.007714702,0.0067278757,0.006018316,0.0054849586,0.0055507473,0.010586202,0.03112705,0.08338406,0.17323482,0.2855629,0.38023043,0.42138067,0.3966005,0.32769242,0.24521375,0.17245905,0.11570308,0.07398104,0.045808285,0.035028975,0.052587043,0.1117303,0.2124346,0.3283558,0.41321027,0.43236485,0.38792065,0.3154901,0.25359946,0.21938795,0.20800938,0.20702986,0.20833935,0.20928091,0.21035127,0.21251611,0.21635227,0.22149487,0.2270643,0.23241015,0.23686235,0.2395684,0.23953076,0.23694418,0.23294687,0.22895992,0.22559881,0.22324081,0.2223146,0.22304188,0.22490823,0.22705872,0.22892113,0.23007703,0.22981125,0.22750677,0.22369762,0.22002953,0.2182491,0.21889746,0.22200073,0.22722892,0.23444258,0.2415831,0.24560781,0.2429199,0.23339249,0.21967281,0.20658599,0.19706048,0.19189978,0.18987764,0.18973403,0.19062565,0.19264291,0.19667615,0.20439054,0.21637101,0.23095031,0.24361847,0.250707,0.25163475,0.24971227,0.24792482,0.24688648,0.24469174,0.24006063,0.2334519,0.22671102,0.22230597,0.222769,0.23059309,0.24545382,0.2639005,0.2797741,0.28903067,0.29094306,0.28811535,0.28286317,0.276379,0.26825175,0.2579532,0.2475475,0.2447325,0.26390657,0.3132796,0.3839933,0.44408575,0.46382025,0.4340508,0.37689146,0.32105085,0.28583935,0.27108106,0.268656,0.26936015,0.26875794,0.26582754,0.2621409,0.25916225,0.2576877,0.25723693,0.25750682,0.25799474,0.25867644,0.25918522,0.2596803,0.2601075,0.2605191,0.26026276,0.25892368,0.2567094,0.25486043,0.25472328,0.2565349,0.25925812,0.2610918,0.26083887,0.25821385,0.2539898,0.24927478,0.24549162,0.2435248,0.24408792,0.24704033,0.25213206,0.25757918,0.2601134,0.25524035,0.24037445,0.21691321,0.18985033,0.1649317,0.14546435,0.13193212,0.12259819,0.11616524,0.11210603,0.11110323,0.112749875,0.11567628,0.11783076,0.118777595,0.119532615,0.12139145,0.124049604,0.12597491,0.1260743,0.124901794,0.12384827,0.12347975,0.124866106,0.132345,0.15678819,0.20709789,0.2810494,0.35530218,0.4011272,0.4000157,0.36030626,0.30252275,0.24634063,0.19764324,0.15688509,0.12388739,0.10337625,0.10299965,0.13488813,0.20505507,0.30406213,0.39706254,0.4463146,0.43281808,0.37560055,0.3093001,0.26318738,0.24237506,0.23861192,0.2398936,0.24021237,0.23782654,0.23401989,0.23037583,0.2282388,0.22782367,0.22847772,0.22893576,0.22805436,0.22531646,0.22067527,0.21435548,0.20639126,0.19726507,0.18816346,0.18108045,0.17768331,0.17832704,0.18173523,0.18596661,0.18963237,0.1924153,0.19464993,0.19656013,0.19819766,0.19968246,0.20140564,0.20379983,0.2072661,0.21229865,0.21901168,0.22495301,0.2247471,0.21158518,0.18354505,0.14488868,0.105017394,0.07138167,0.047394555,0.03202085,0.022920342,0.017747713,0.014864061,0.013383687,0.012854158,0.0129521,0.013049227,0.012487468,0.010972786,0.008825268,0.0066801603,0.0050248294,0.003985941,0.0034182633,0.0031290306,0.0030151678,0.003129734,0.0036560905,0.004676581,0.005974764,0.0069763823,0.007186052,0.00651079,0.0053642117,0.0042397217,0.0034162889,0.0028689823,0.0024722964,0.0021424245,0.0035899926,0.013561546,0.046193346,0.11564859,0.22020054,0.33109167,0.4042875,0.41165903,0.36173022,0.2919099,0.2373057,0.2112693,0.20593597,0.20868725,0.21169256,0.21371835,0.21582663,0.21880235,0.22219886,0.2250513,0.22678737,0.22763322,0.22815304,0.22870953,0.22937237,0.23027577,0.23169191,0.23389693,0.23687778,0.24023335,0.24325474,0.24535058,0.24634556,0.24652767,0.24621683,0.24565037,0.24496746,0.24441351,0.24427317,0.24469388,0.24567549,0.24708082,0.24931423,0.25335762,0.26082352,0.27099827,0.27973035,0.27857563,0.26103857,0.2255768,0.17857538,0.12890534,0.085202895,0.051922362,0.030186966,0.017893154,0.01188301,0.009258426,0.008482029,0.008826752,0.009732448,0.010307056,0.0099328915,0.008556302,0.0068026185,0.005289174,0.004311895,0.0037890368,0.0035467495,0.0036275194,0.0077002146,0.025463084,0.073011026,0.15696852,0.263278,0.35388568,0.39565873,0.3807309,0.33193704,0.2764527,0.2274605,0.18211448,0.13552283,0.090667784,0.059153754,0.0570678,0.09907629,0.1856149,0.2942711,0.3817217,0.41184822,0.37848023,0.31087354,0.24675743,0.20863385,0.19542049,0.19501805,0.19706267,0.1975667,0.19674158,0.1953478,0.19397704,0.1927575,0.1918952,0.19107342,0.19001001,0.18856871,0.18717675,0.18591128,0.18462227,0.18323137,0.18250872,0.18329595,0.18640792,0.19315977,0.2062813,0.22751041,0.25405788,0.27729908,0.28777835,0.28161538,0.263343,0.24212283,0.22599036,0.21823578,0.21765888,0.2209721,0.22492349,0.22687215,0.22468634,0.21738707,0.20655213,0.1960292,0.18907635,0.18622339,0.18553038,0.18566383,0.1864919,0.18852337,0.19180655,0.19688632,0.20551802,0.21833403,0.23317437,0.24482699,0.250182,0.24997722,0.24816774,0.24733776,0.24759032,0.24765813,0.24627697,0.2426049,0.23596115,0.22697489,0.2183945,0.21409076,0.21761073,0.22852333,0.24356337,0.25652638,0.26416457,0.26533592,0.26271048,0.25795314,0.25257117,0.24652386,0.24212037,0.24590059,0.269936,0.32151675,0.39150932,0.44827262,0.45868173,0.41138864,0.32995853,0.2506807,0.19885425,0.17514928,0.16702485,0.16169293,0.15335047,0.14183927,0.1294111,0.11953846,0.11612298,0.1224641,0.13868509,0.15989709,0.17826003,0.18790096,0.18872988,0.18543763,0.18298922,0.18330581,0.18461023,0.18357511,0.17804001,0.16907202,0.16072984,0.15707934,0.15929672,0.16520911,0.17165375,0.17670012,0.17993648,0.181687,0.18203492,0.18042393,0.17570706,0.16763665,0.15903498,0.15530528,0.16118127,0.1758992,0.1937962,0.20766087,0.21409564,0.21376967,0.2100416,0.20590077,0.20294459,0.20104814,0.19932581,0.19723664,0.1950841,0.19322795,0.1912231,0.18810941,0.1833088,0.17735009,0.17121035,0.1663963,0.16383626,0.16356759,0.16346715,0.161216,0.15627056,0.15145266,0.15042424,0.15452568,0.16136931,0.1671999,0.17001195,0.16995053,0.1667521,0.15799572,0.14165495,0.12024308,0.10098469,0.090753414,0.091116965,0.09931597,0.111660235,0.125872,0.13902758,0.14821579,0.1520607,0.15297951,0.15434928,0.15752555,0.16084918,0.16230743,0.16196819,0.16176112,0.16376506,0.16815846,0.17315441,0.17535853,0.17136665,0.15944439,0.14177102,0.12512833,0.11807933,0.1252272,0.14316584,0.16219413,0.17377448,0.17588961,0.17358379,0.1725327,0.17502713,0.17789851,0.17681243,0.16785808,0.1506731,0.1270792,0.10306322,0.085929535,0.08291306,0.09563255,0.12024003,0.1502031,0.1822629,0.21846063,0.2595391,0.30026352,0.32721165,0.33096755,0.31105235,0.27845883,0.2444522,0.21607745,0.19398408,0.17746536,0.16632934,0.16090538,0.15989815,0.1601836,0.1585498,0.15353899,0.14608888,0.13776492,0.13028406,0.12450079,0.121500134,0.121764176,0.12516797,0.12976217,0.13224544,0.12948667,0.121089876,0.110648535,0.10392497,0.10486313,0.112412214,0.120813526,0.12386427,0.119257964,0.11044195,0.10344095,0.102600135,0.10762373,0.11575726,0.12737358,0.15085109,0.19976334,0.2786726,0.37051764,0.4390874,0.45441815,0.41490075,0.3484223,0.28794494,0.2506544,0.23428081,0.22936963,0.22904313,0.23100941,0.23429048,0.23773712,0.24032634,0.24188195,0.24249046,0.24195981,0.23983048,0.23612134,0.23123229,0.22611982,0.22154097,0.21839763,0.21662156,0.21594375,0.21588689,0.21702255,0.2197455,0.22368294,0.22710061,0.22850733,0.22741933,0.22460411,0.22109963,0.21790878,0.2156105,0.21412416,0.2131098,0.21266262,0.21403919,0.2171215,0.21934772,0.21560587,0.2034326,0.1843095,0.16312219,0.14351429,0.12713835,0.114155434,0.104783386,0.09911745,0.097029746,0.098060094,0.1015069,0.10588459,0.10953355,0.11119381,0.11102184,0.10983479,0.108787894,0.108629264,0.10985256,0.11192813,0.11340628,0.11242,0.11082605,0.117046915,0.14702025,0.2106915,0.29965612,0.38024366,0.41707107,0.39602813,0.33673617,0.27031776,0.21747454,0.17873996,0.14650093,0.11625877,0.0920865,0.08508971,0.1120921,0.18277703,0.28662053,0.3840889,0.43172288,0.4103568,0.34268272,0.2691253,0.21994464,0.19897251,0.19513185,0.19646062,0.19792461,0.19958885,0.20319493,0.21010299,0.21986334,0.23049445,0.2387193,0.24251801,0.24201865,0.23983936,0.23802777,0.23672597,0.2344005,0.23092686,0.22799158,0.22786574,0.2308139,0.23564494,0.24045883,0.24374588,0.24387164,0.23993088,0.2324688,0.22354573,0.21537109,0.2088819,0.20385076,0.19962949,0.1963476,0.19530086,0.19788563,0.20399092,0.21068858,0.21440852,0.21326797,0.20823409,0.2005109,0.18934728,0.17202507,0.14692512,0.116341345,0.08728989,0.069164164,0.06924372,0.08935902,0.12353918,0.16166502,0.19279087,0.2122261,0.22085576,0.22398202,0.22497451,0.22493736,0.22307742,0.21944678,0.21439107,0.20843036,0.20187175,0.19631207,0.1940939,0.19769724,0.2070815,0.21962552,0.23045565,0.23590092,0.23488195,0.22995268,0.2243731,0.22046566,0.21944876,0.22534902,0.24793167,0.29651937,0.36877382,0.44151783,0.48350224,0.475696,0.42796028,0.36799836,0.32193688,0.29795638,0.29009187,0.28785178,0.28532562,0.28182268,0.27956757,0.2801883,0.2831329,0.28599095,0.286399,0.2839662,0.2804748,0.2783685,0.27865145,0.28022704,0.28108242,0.28009215,0.2777436,0.27515092,0.2725273,0.2691034,0.26366228,0.25615087,0.24663635,0.23571074,0.22328041,0.21055068,0.19894671,0.19030063,0.184721,0.18177517,0.18148015,0.18569542,0.19668405,0.21313077,0.22880955,0.23391007,0.22329797,0.19947998,0.17282797,0.15281051,0.14363003,0.1418957,0.14122485,0.13621373,0.12597068,0.11348444,0.10285261,0.095612176,0.09017706,0.08426205,0.07854343,0.07683896,0.08251489,0.09407931,0.105153315,0.109060794,0.10359782,0.09210068,0.08312266,0.08983889,0.12823592,0.20377427,0.3003944,0.3797044,0.40872678,0.3817025,0.3249112,0.2684364,0.22652395,0.19330037,0.16025735,0.12619022,0.10114773,0.10123265,0.14299415,0.22826047,0.33430743,0.41810477,0.44627857,0.417287,0.36105135,0.310274,0.28055117,0.26817188,0.2640237,0.2619101,0.26021603,0.25877294,0.2579051,0.25758466,0.25782678,0.25826308,0.25846323,0.25786605,0.25591886,0.25249302,0.24802585,0.24347477,0.23965102,0.23659664,0.23414801,0.23232989,0.23228224,0.23499067,0.24061674,0.2473702,0.2526205,0.254364,0.25271526,0.24973549,0.24771376,0.24735813,0.24681665,0.2434967,0.23640245,0.22861212,0.2241525,0.22465365,0.22575723,0.221839,0.21000497,0.19317774,0.17596017,0.16130012,0.1491551,0.13848762,0.12912805,0.12177947,0.11797344,0.120338045,0.1331539,0.15954961,0.19777524,0.23915248,0.27328977,0.29381964,0.3020619,0.30295172,0.30142477,0.29972017,0.29863414,0.2979038,0.29628724,0.2920836,0.28428218,0.2748914,0.26745114,0.26517877,0.26697043,0.26912835,0.26760015,0.26173,0.25315133,0.24407928,0.23545599,0.22977942,0.23362887,0.25899658,0.31147274,0.38091287,0.43736497,0.45367274,0.42349708,0.36813036,0.31481314,0.2796131,0.2620283,0.25489783,0.25164065,0.25065222,0.2563925,0.28048596,0.32851884,0.3901235,0.433285,0.43124202,0.3797934,0.30632275,0.24187315,0.20453109,0.19030702,0.18800771,0.18795405,0.18998389,0.20170645,0.2356044,0.29519677,0.3662472,0.41791534,0.42580128,0.3899189,0.33449736,0.2866349,0.25816587,0.2454306,0.23884033,0.23302078,0.22950159,0.23726039,0.26805648,0.32385078,0.3885896,0.43157378,0.43175474,0.3921081,0.3380594,0.2934887,0.26771426,0.25495863,0.2472961,0.24106525,0.2402335,0.25334018,0.289242,0.34552947,0.40376028,0.43598524,0.42575625,0.380301,0.3244383,0.28108534,0.25777498,0.24917014,0.24566835,0.24291377,0.24346226,0.25750688,0.29380617,0.35019466,0.4056591,0.43277177,0.41635922,0.36739346,0.31140593,0.27019903,0.24868669,0.2405771,0.23701112,0.23479635,0.23704095,0.25327918,0.2908713,0.34696177,0.40199217,0.43270934,0.42715582,0.39576992,0.35919973,0.33419272,0.3236411,0.32227302,0.32327756,0.3231207,0.32112512,0.3182226,0.31520918,0.3116782,0.3061947,0.2978436,0.28686962,0.27455238,0.2616786,0.2488039,0.23623188,0.22540475,0.21783829,0.21406864,0.2109505,0.20319916,0.18735059,0.16711028,0.15212172,0.15152673,0.16697693,0.19218008,0.21756232,0.2347935,0.23800032,0.22415452,0.19445594,0.15569554,0.11776342,0.09007722,0.07884627,0.08813843,0.11833838,0.1648817,0.21649547,0.26111266,0.29046944,0.3035022,0.30190808,0.28661835,0.25667652,0.21274525,0.16149999,0.115005106,0.08686068,0.08520245,0.109634995,0.15104373,0.19595118,0.23319443,0.25833657,0.2742745,0.28543052,0.2942809,0.29974923,0.30101982,0.2987106,0.29514503,0.2913681,0.28699002,0.28087416,0.2733827,0.2658453,0.25947195,0.25403628,0.24791296,0.23832381,0.222239,0.19984962,0.1797532,0.18017542,0.21959873,0.2980207,0.3889182,0.45178032,0.4634559,0.43232155,0.38886407,0.3580494,0.34738684,0.35059288,0.3592509,0.36719683,0.37029493,0.36655235,0.35696685,0.34556198,0.33625698,0.3310847,0.32932433,0.33011457,0.33322573,0.33922336,0.34677553,0.3521709,0.3508869,0.34136078,0.32656106,0.31250504,0.3046995,0.3057733,0.31436586,0.3260997,0.33487305,0.3365933,0.3312271,0.32365173,0.31933352,0.32078215,0.32534108,0.32897556,0.3296347,0.32904926,0.32841158,0.32640874,0.31994763,0.3097545,0.3007598,0.2983288,0.3030514,0.3099197,0.311617,0.3006996,0.2731726,0.23067485,0.18361552,0.14761169,0.1365694,0.15460004,0.19343215,0.23603971,0.2640696,0.26635572,0.24467903,0.21280695,0.18828698,0.17985857,0.18251275,0.18541366,0.18765968,0.20621078,0.2596612,0.346181,0.43188977,0.47697547,0.4644964,0.41452184,0.36045823,0.3235729,0.30237213,0.28393993,0.2583467,0.22712995,0.20420556,0.21147716,0.26086167,0.34259176,0.42071304,0.46251026,0.4560976,0.4209614,0.38170853,0.35385954,0.3346776,0.31662992,0.29513776,0.2736213,0.25864542,0.25582138,0.2655621,0.2838137,0.30338156,0.31849995,0.3266891,0.3297857,0.33090213,0.332422,0.33471215,0.33697763,0.33818635,0.33768287,0.33565316,0.33306003,0.33116353,0.3307612,0.33159137,0.33268884,0.33295992,0.33194494,0.32978314,0.32679412,0.32316542,0.3191943,0.31608036,0.3162012,0.3225517,0.33587658,0.3527193,0.3654022,0.36796904,0.36039194,0.3497722,0.34365892,0.3455956,0.35308585,0.36179867,0.3682985,0.37192702,0.37363407,0.37486684,0.37660804,0.37862483,0.379987,0.37940717,0.3766936,0.3720447,0.36566082,0.3570552,0.34643057,0.33542025,0.3266556,0.32216728,0.32204354,0.32439843,0.32575575,0.3232017,0.3159372,0.30644158,0.2980418,0.29273668,0.28999826,0.28762355,0.28324834,0.27426112,0.26021007,0.24478883,0.23930843,0.25964388,0.31471762,0.3946898,0.46747956,0.49998367,0.4784085,0.4202671,0.3548797,0.3043678,0.27130148,0.2481844,0.22771351,0.2090057,0.19502594,0.18891092,0.19198017,0.2030734,0.21861602,0.23297335,0.24152958,0.24324524,0.2416097,0.24160464,0.2464134,0.2555668,0.26532575,0.27123013,0.27049986,0.2644888,0.25690612,0.2512276,0.2469538,0.24153246,0.23333524,0.22555684,0.22316152,0.22842439,0.23674233,0.24064548,0.23578022,0.22605525,0.22077739,0.2288241,0.2516477,0.28238666,0.30917516,0.32311866,0.32217023,0.31144142,0.29777503,0.28643695,0.27865556,0.2725166,0.26431164,0.2515582,0.23538083,0.22028935,0.21057959,0.20646922,0.20341001,0.19593541,0.18157351,0.16326545,0.14672394,0.13753794,0.13645053,0.13980164,0.14208223,0.14417149,0.1568019,0.19668166,0.2700316,0.36142838,0.43757626,0.4722339,0.46294641,0.4298086,0.3931453,0.3614755,0.33203685,0.3022845,0.27443182,0.25656176,0.26031917,0.2954631,0.358663,0.42735422,0.4690704,0.4643863,0.42032588,0.36360812,0.31844005,0.29360905,0.28344306,0.27914122,0.27528965,0.2716874,0.2705151,0.27433917,0.2832695,0.29484951,0.30475864,0.31051716,0.31222725,0.31242487,0.31312695,0.31507003,0.3175008,0.31950447,0.32131326,0.32453716,0.33102846,0.34014454,0.34862623,0.35261396,0.3511362,0.34610128,0.34040412,0.33565798,0.33231425,0.33028874,0.32936347,0.32870764,0.3277991,0.3265082,0.32632193,0.3260977,0.32217336,0.30692074,0.27836272,0.24128394,0.20775516,0.1849209,0.17200525,0.16086532,0.1454726,0.12546507,0.106605686,0.096831895,0.10431209,0.13333671,0.18188244,0.23893647,0.29023433,0.32460257,0.3409218,0.34547982,0.34650135,0.34808466,0.34921837,0.34672245,0.33767256,0.32234025,0.30404064,0.28900054,0.28229925,0.28480542,0.29241934,0.2996949,0.30409703,0.3067442,0.31050876,0.316792,0.32494673,0.33280456,0.34054077,0.35270837,0.3781058,0.41941425,0.46647334,0.49596024,0.49068508,0.45192418,0.40126118,0.36056662,0.3392676,0.33133304,0.32661334,0.31802997,0.30385834,0.2848306,0.26297572,0.24145453,0.22433227,0.21477985,0.21345241,0.21869998,0.22842596,0.24184406,0.25861079,0.2772503,0.29375222,0.3042753,0.30727348,0.30491266,0.29979357,0.29306284,0.28391385,0.272428,0.26071307,0.25255036,0.25097397,0.25690076,0.26828375,0.28098807,0.2906035,0.29546085,0.29803142,0.30332616,0.3135483,0.32492295,0.3289415,0.31977257,0.29850304,0.27192286,0.24627174,0.22420512,0.20688535,0.19617711,0.19430697,0.20032422,0.21021394,0.2188925,0.22362737,0.22413874,0.22169025,0.21716262,0.21078463,0.2021253,0.19236146,0.18430667,0.18190753,0.18585344,0.19325374,0.20094384,0.21204807,0.23824626,0.28890967,0.359364,0.42334235,0.45158258,0.43051925,0.37521008,0.3126627,0.2638475,0.23226722,0.21172023,0.19587336,0.18587554,0.19042008,0.22347486,0.29084927,0.38003078,0.45682397,0.48898232,0.46729192,0.41401383,0.36038783,0.3257334,0.30878294,0.29936042,0.28952906,0.27868816,0.27000645,0.26650682,0.26807022,0.2720233,0.27479872,0.27449298,0.27156162,0.26788637,0.26494774,0.2628031,0.26065907,0.25795355,0.2548431,0.2521762,0.25085554,0.252018,0.25644848,0.26465318,0.27626553,0.29024374,0.3047542,0.31734776,0.32576308,0.32902685,0.32870635,0.32782912,0.32969484,0.33563402,0.34533525,0.35592797,0.36298645,0.3615707,0.34972593,0.33039746,0.30959275,0.29282537,0.28179863,0.27547273,0.27104414,0.26580966,0.25761366,0.24697964,0.2377693,0.23628408,0.2462849,0.26602402,0.2876937,0.30359903,0.30987036,0.3085709,0.30343568,0.29775354,0.29260573,0.2882524,0.28432465,0.2805145,0.2766198,0.27346778,0.27267182,0.2763379,0.28504324,0.29759488,0.3107628,0.32181433,0.32897148,0.33243203,0.3326116,0.3305191,0.32826045,0.33128586,0.34818983,0.38478115,0.43602517,0.482107,0.49981308,0.47865915,0.43055347,0.37926236,0.34393564,0.3286184,0.32682225,0.32981226,0.33366743,0.34009597,0.35622236,0.38702098,0.42910334,0.4646734,0.47387394,0.44684926,0.39531338,0.3398715,0.29736888,0.26966476,0.25087866,0.23516853,0.22390932,0.22474666,0.2493819,0.3025539,0.3746419,0.43658984,0.46023583,0.43439218,0.37715173,0.316235,0.27278998,0.24987967,0.24106716,0.2392308,0.24248545,0.2555006,0.28612396,0.3378345,0.40066704,0.45185164,0.47010276,0.4516852,0.41280296,0.37577596,0.35318828,0.3447853,0.34363854,0.34453678,0.34664217,0.35386422,0.37342933,0.40755412,0.44842902,0.47550985,0.4730824,0.43928942,0.3916845,0.34912756,0.32304114,0.31125557,0.30736646,0.30488345,0.30381948,0.3097129,0.33353028,0.37788638,0.43142593,0.4658321,0.4603869,0.4135158,0.34932134,0.29308712,0.25958392,0.24573033,0.24328338,0.24552257,0.25340638,0.2739868,0.31551886,0.37617874,0.43741694,0.47114944,0.4605786,0.41387668,0.35734352,0.31434825,0.29190075,0.2837479,0.28176296,0.28280926,0.29017812,0.31093633,0.3519354,0.40992522,0.46717843,0.4971213,0.48452964,0.43690857,0.37988544,0.33649302,0.31474748,0.30870113,0.3093053,0.31237242,0.32024792,0.340052,0.37699553,0.4273171,0.4741961,0.49656045,0.48361707,0.44365868,0.39677715,0.35991514,0.33738562,0.3232409,0.30932617,0.29295826,0.2791982,0.27954268,0.30232763,0.34470594,0.3880162,0.41100764,0.40312853,0.37395465,0.34166488,0.3208762,0.31392846,0.31607553,0.32129586,0.32747325,0.33714935,0.3575536,0.39342824,0.44001266,0.4777012,0.4858439,0.4562249,0.4037907,0.35135612,0.31592432,0.297099,0.28686216,0.2767174,0.26681295,0.2634863,0.2793389,0.3213803,0.38446262,0.44433966,0.47529373,0.46502236,0.42659625,0.38299978,0.352182,0.33668807,0.32974046,0.32317182,0.31425574,0.3085231,0.3188699,0.3540102,0.40704963,0.4508849,0.45914635,0.42497393,0.3693278,0.31966755,0.2922515,0.28409794,0.2847073,0.28548002,0.28427204,0.28209424,0.2803584,0.27972403,0.28085122,0.2843939,0.2901894,0.2962383,0.30001277,0.30025598,0.29835606,0.29662338,0.29651427,0.29774538,0.2997419,0.30230477,0.3056284,0.309171,0.3120077,0.31321475,0.31278872,0.31130663,0.30949333,0.3076855,0.30587366,0.304122,0.30260932,0.30187166,0.30311102,0.3085637,0.31986773,0.33497143,0.34678248,0.3462273,0.3292011,0.29944178,0.26688328,0.24005969,0.2229882,0.21386625,0.20936455,0.20647474,0.20481229,0.20526983,0.20892,0.21527137,0.2225477,0.22850059,0.2311881,0.22908823,0.22160114,0.20981246,0.19678347,0.18565385,0.17821765,0.17538172,0.18161047,0.20741749,0.2633728,0.34653255,0.43086076,0.47975755,0.47084212,0.41488382,0.3436288,0.2856215,0.24812804,0.22403742,0.2049694,0.19098216,0.18923955,0.21115339,0.26354435,0.34039417,0.415804,0.45882443,0.45234013,0.40911725,0.35683647,0.3195475,0.3022103,0.29873177,0.30044964,0.30325747,0.30557778,0.3072839,0.30861542,0.30997708,0.311635,0.3134059,0.31527635,0.3173835,0.32011393,0.3234979,0.32701382,0.32960713,0.33022717,0.3287395,0.32630065,0.32482886,0.32536164,0.32708874,0.32772818,0.32545522,0.3202438,0.31401443,0.30923292,0.30756477,0.30912936,0.312723,0.3168429,0.321295,0.32763144,0.3383225,0.3521527,0.36354467,0.36256242,0.34374452,0.30803463,0.26541358,0.22644383,0.19928096,0.18474363,0.17914551,0.1761034,0.171584,0.16603154,0.1653937,0.17634864,0.20166852,0.2358806,0.26930952,0.2931355,0.30526948,0.30851397,0.30758774,0.3051006,0.30172715,0.29707825,0.29174447,0.287303,0.28659555,0.29103383,0.30083063,0.31273177,0.32358685,0.32960486,0.33035353,0.3263701,0.3203547,0.31349805,0.30581102,0.29614615,0.28712198,0.28836253,0.31335235,0.3665651,0.4316772,0.47634363,0.47430065,0.42641374,0.35830393,0.29963383,0.26380244,0.24756964,0.24120617,0.23903693,0.23939918,0.24241696,0.24703579,0.2520258,0.25620508,0.25936845,0.26183903,0.2639297,0.2653585,0.2651137,0.26260403,0.25787246,0.2517636,0.24510778,0.23881139,0.23349667,0.22913732,0.22502756,0.22076832,0.21674609,0.21336919,0.20960374,0.2038607,0.19575417,0.18745394,0.18179177,0.18008502,0.18187855,0.18699259,0.19777165,0.21553908,0.23711784,0.25227702,0.25213206,0.23500611,0.20893514,0.18341851,0.16391356,0.15054248,0.14119829,0.13396214,0.12701678,0.119360186,0.110786706,0.10267026,0.097205274,0.0967972,0.102650784,0.11370421,0.12657805,0.13700648,0.1422447,0.14221068,0.1391794,0.13562447,0.13560286,0.14700986,0.18429852,0.25585994,0.35097763,0.4323454,0.46182442,0.42604557,0.34901726,0.26652518,0.20193414,0.15578401,0.119942404,0.08907474,0.068200834,0.07001778,0.113689266,0.20561533,0.3286505,0.4351224,0.48329076,0.46039543,0.39691424,0.33154663,0.29004773,0.2716842,0.26673892,0.2656747,0.26561213,0.26554212,0.26517236,0.26413974,0.2636446,0.26551977,0.27048734,0.2766013,0.28052434,0.27969253,0.27405524,0.26524,0.255591,0.2466609,0.23943104,0.23415947,0.23137301,0.23156546,0.23497643,0.24028587,0.24487674,0.24561,0.24098563,0.23172438,0.22072442,0.21088625,0.20380318,0.19959916,0.19922785,0.2060526,0.22335805,0.24945748,0.2757272,0.2919539,0.294179,0.28647247,0.27633765,0.26722017,0.25710943,0.24052846,0.21451302,0.18194203,0.15212601,0.13614859,0.14133947,0.16688372,0.20456807,0.24194868,0.26941702,0.2833551,0.28719378,0.2859983,0.28372163,0.28175113,0.2805946,0.28037214,0.28014946,0.27849042,0.27381912,0.2657483,0.25503576,0.24359481,0.23449652,0.22987933,0.23024802,0.2329433,0.23516135,0.23495026,0.23301923,0.23286653,0.24191551,0.2715449,0.32751158,0.4009695,0.46275878,0.483366,0.45126104,0.38565198,0.31714246,0.2696798,0.2468975,0.24079226,0.24039356,0.23980041,0.23742057,0.23432319,0.23135398,0.22873108,0.22691308,0.22737367,0.23183829,0.23981094,0.24858446,0.2548444,0.2578517,0.25903538,0.26028177,0.26168773,0.26224494,0.26099122,0.25809994,0.25400767,0.24924296,0.24391758,0.23865654,0.23415239,0.23123638,0.23008187,0.23049223,0.2318107,0.23367183,0.23672707,0.24332531,0.2559013,0.27267337,0.28642496,0.28727743,0.2722303,0.24680191,0.22257487,0.20665129,0.19970042,0.19700511,0.1945258,0.19071388,0.18626408,0.18245117,0.17986721,0.17850101,0.17777157,0.17702012,0.17551868,0.17265241,0.16803737,0.16162425,0.15382753,0.14552069,0.13783395,0.13234566,0.13400929,0.15362221,0.20596199,0.29395822,0.3969445,0.472293,0.48623404,0.4362481,0.3530105,0.27148357,0.21065502,0.17014354,0.14347754,0.12766916,0.12729107,0.15368986,0.21751793,0.314165,0.41456166,0.47708514,0.47622487,0.42160332,0.34807405,0.28886625,0.2562108,0.24461104,0.24286056,0.24439591,0.24710162,0.25087997,0.25480294,0.25747326,0.25790647,0.25637585,0.2538922,0.2515686,0.24973388,0.24816383,0.24636358,0.24416041,0.24170198,0.23906243,0.23613305,0.23289825,0.23000021,0.22875303,0.23035724,0.23484702,0.24051596,0.2442195,0.243214,0.23670222,0.22713546,0.21830417,0.21329083,0.21310031,0.21818058,0.23065722,0.25182188,0.28019002,0.30805194,0.3283014,0.33645383,0.3350456,0.32747388,0.3177676,0.3079879,0.30031338,0.29503047,0.29042444,0.28417966,0.27725446,0.2743142,0.27963117,0.29133993,0.3022957,0.30542767,0.29978332,0.28943336,0.27954808,0.2723763,0.26737845,0.26286063,0.25782704,0.25268874,0.24893822,0.24832487,0.25171924,0.25879338,0.26821676,0.27858678,0.28854713,0.29678363,0.30178666,0.30301902,0.30148125,0.299638,0.30204192,0.31558403,0.3501934,0.40652362,0.47033057,0.50898975,0.4991046,0.43931532,0.35792115,0.28510934,0.23964709,0.22002597,0.21713896,0.22107448,0.22655459,0.2319055,0.23696995,0.24193847,0.2460959,0.24958913,0.25259817,0.25605133,0.2596127,0.26296473,0.26569477,0.26880822,0.27292004,0.27732566,0.27933946,0.2772951,0.2726399,0.2695261,0.27101156,0.27685454,0.2845889,0.29249942,0.3002789,0.30774045,0.31321135,0.3144218,0.31026745,0.30296373,0.29811063,0.3024484,0.31836963,0.3396463,0.35313916,0.34751365,0.32203135,0.2863809,0.25304785,0.22882567,0.21387173,0.2050402,0.19950344,0.19548397,0.19171207,0.18753825,0.18287723,0.17819262,0.17369051,0.1690951,0.1638053,0.15749568,0.15030442,0.1428244,0.1357315,0.12979506,0.12536286,0.12517633,0.13714932,0.1776185,0.25838932,0.37231264,0.48081517,0.5384852,0.5214675,0.44978046,0.36322978,0.2932894,0.24363977,0.20454235,0.16831195,0.14004807,0.1330272,0.16492729,0.24231148,0.35162163,0.45158672,0.50067633,0.47977826,0.410437,0.3298805,0.2690942,0.23478822,0.22004193,0.21448702,0.2126692,0.212366,0.21208942,0.21061642,0.20757079,0.20452125,0.20274083,0.20260276,0.20295198,0.20331079,0.20356037,0.20363231,0.2028169,0.20073543,0.19830562,0.19665873,0.19658871,0.19745786,0.1989668,0.20058031,0.20235348,0.20357846,0.20403981,0.2034881,0.20222168,0.2003393,0.19805332,0.19626491,0.197779,0.20772052,0.23106755,0.26587585,0.30142578,0.3215188,0.31853938,0.2960074,0.26724267,0.24184215,0.22398172,0.21140964,0.20157285,0.19261535,0.18581618,0.18534474,0.19746524,0.22472416,0.2623959,0.29750597,0.31829986,0.32068086,0.31134656,0.29947656,0.29111648,0.28651658,0.28427562,0.2833513,0.28373775,0.28487575,0.2862945,0.287755,0.28940538,0.29026243,0.28871313,0.28395826,0.27769497,0.27262607,0.27088615,0.27235106,0.27636233,0.2811053,0.28512713,0.28613004,0.28458878,0.2824204,0.28378692,0.2897289,0.29927692,0.3086501,0.3159765,0.32099068,0.32563993,0.33132434,0.3377899,0.34287205,0.34394708,0.34015462,0.33294776,0.32527903,0.3194497,0.31611535,0.3143095,0.31242955,0.308912,0.30287457,0.29430607,0.28418648,0.27398703,0.264986,0.25753018,0.2510451,0.24483265,0.23884499,0.2336335,0.22963224,0.22673447,0.22446285,0.22237776,0.22035657,0.21855378,0.21713845,0.2159453,0.2145738,0.21312827,0.21244569,0.21405719,0.21753682,0.21994768,0.21510732,0.19872606,0.1702754,0.13501127,0.09936207,0.06876906,0.045334846,0.029205797,0.019142315,0.013593956,0.010912287,0.009824447,0.009415786,0.009258788,0.009107008,0.008919141,0.008606416,0.008219694,0.0078104925,0.0075180214,0.0073472634,0.00726278,0.007136675,0.006925152,0.006602776,0.006217444,0.005792808,0.005351512,0.0049248873,0.004551679,0.004326968,0.0042845644,0.0044284207,0.0046089324,0.0046532173,0.0043830457,0.0037791692,0.0029760564,0.002256985,0.0019081846]