[0.0019509438,0.0023005547,0.0030023374,0.003718951,0.004131451,0.0041116504,0.0037701938,0.0033438283,0.0030265285,0.0028666065,0.0028066614,0.0027704055,0.0027280569,0.0026839145,0.0026577476,0.0026615632,0.0027085159,0.0028003438,0.002932946,0.0030834049,0.0032273624,0.0033388287,0.0034081198,0.0034311742,0.0034130039,0.0033554255,0.0032686507,0.0031700723,0.0030872535,0.003045446,0.0030579197,0.003125281,0.003229606,0.003342231,0.0034288156,0.0035061126,0.0036825761,0.0041484907,0.005022717,0.0061899424,0.0072754347,0.007867224,0.007928642,0.008083508,0.009652608,0.013918153,0.021268452,0.030420715,0.03910297,0.045275193,0.048505113,0.049937975,0.05126055,0.053420097,0.055930283,0.057534065,0.057108212,0.054808676,0.05259404,0.054179627,0.06407746,0.084276766,0.112295024,0.14063315,0.1619709,0.17234375,0.17320432,0.16776918,0.15938018,0.14992405,0.14107828,0.13387953,0.12913959,0.12688537,0.12699206,0.12878753,0.13134854,0.13343845,0.13397582,0.13237143,0.12844129,0.12267924,0.11591383,0.10953579,0.10468062,0.102112,0.10166288,0.10286067,0.10496787,0.10766997,0.11060905,0.11408981,0.11860215,0.1252998,0.13357992,0.14090212,0.14266175,0.13689893,0.12543644,0.11373609,0.106003396,0.103823006,0.10580844,0.10985559,0.113598526,0.11541202,0.11536036,0.115781434,0.120580286,0.13078628,0.14347742,0.15131156,0.15001494,0.1397225,0.1263523,0.115189664,0.109009616,0.10662343,0.10494039,0.10133666,0.095244795,0.08934745,0.088401474,0.09677005,0.11483399,0.13707852,0.15485041,0.16227108,0.15984859,0.15306,0.14640176,0.14128833,0.13620608,0.13079114,0.12605943,0.124074824,0.1252261,0.12797819,0.12958616,0.1282362,0.123991065,0.11852857,0.113621764,0.110289544,0.108448245,0.10779747,0.10790163,0.10858654,0.10931245,0.10953594,0.10916992,0.109259926,0.1120395,0.1181716,0.12582268,0.12993021,0.12747182,0.11873249,0.10815453,0.099209666,0.093188025,0.08880358,0.084809065,0.080731206,0.07682663,0.07345432,0.071547925,0.07320479,0.08160961,0.09738175,0.11656269,0.13080843,0.13453668,0.12847133,0.11952286,0.11390703,0.1133532,0.11528904,0.11602604,0.11391345,0.11012387,0.1098223,0.12038808,0.14733149,0.18784718,0.23003781,0.25928363,0.26848555,0.26038176,0.24359082,0.22466175,0.20685275,0.19026895,0.17482251,0.16032498,0.1479174,0.13909836,0.13555115,0.13715304,0.1427506,0.14965792,0.1556629,0.15864281,0.15836914,0.15547924,0.1518944,0.14857419,0.14593829,0.14313747,0.1402483,0.13779342,0.13815679,0.14336239,0.15472923,0.16927652,0.18157007,0.1852941,0.1792134,0.16598642,0.15165287,0.14049982,0.13636579,0.13986696,0.14984907,0.16096981,0.16831858,0.16850019,0.16277611,0.15396567,0.14520203,0.13790269,0.13289367,0.13182056,0.136783,0.14809279,0.16127084,0.16866548,0.16447558,0.14924854,0.12928736,0.1123541,0.10478121,0.1116074,0.13488512,0.17112146,0.20827566,0.23302115,0.23816533,0.22828273,0.21289228,0.19922282,0.18860517,0.17946021,0.17116867,0.16393088,0.15838379,0.15434311,0.15186304,0.15047331,0.14912015,0.14629146,0.14113365,0.13427305,0.12705302,0.12090093,0.11644588,0.11379435,0.11251995,0.11185476,0.11103835,0.109433055,0.1078104,0.1081715,0.11414451,0.12670846,0.14303207,0.15521646,0.1575384,0.14923267,0.13617183,0.12440669,0.1171853,0.1137773,0.11197189,0.109817505,0.10597068,0.10048172,0.09482034,0.0928278,0.098376065,0.113348365,0.1341709,0.15422298,0.1664715,0.16880815,0.1627379,0.15300976,0.14347212,0.1380564,0.13801868,0.14351179,0.15233305,0.16445033,0.18102072,0.20316096,0.22584797,0.24009544,0.23849875,0.22297235,0.20224144,0.18562664,0.17631902,0.17263632,0.17084695,0.16837627,0.16394721,0.1574442,0.14925458,0.13979648,0.129714,0.12019875,0.11297666,0.10913142,0.10830196,0.10908107,0.11012808,0.110976666,0.11145872,0.1114675,0.11055467,0.108508565,0.10637606,0.10713502,0.1158065,0.13364185,0.1562054,0.17196293,0.17379475,0.16165625,0.14473242,0.13003494,0.120601974,0.11389771,0.10782417,0.10126541,0.09482788,0.0893934,0.08632118,0.08716027,0.0930858,0.1039364,0.11754843,0.13081498,0.14087683,0.1472581,0.15136932,0.15582256,0.16125174,0.16582416,0.16556595,0.15913476,0.15032966,0.14898658,0.16214472,0.18780525,0.21143182,0.21874481,0.20451654,0.1773839,0.14895445,0.12698098,0.11206048,0.10217229,0.095306516,0.09061724,0.08781844,0.08687111,0.0876653,0.090505145,0.09588199,0.10449437,0.11573923,0.12774234,0.13758318,0.14309289,0.14352898,0.1395577,0.13238437,0.12302668,0.11255306,0.102479845,0.095748626,0.09642846,0.108657956,0.13262247,0.16221182,0.18578373,0.19392645,0.18531416,0.16750939,0.14975719,0.13734372,0.13008188,0.12551123,0.1215387,0.117610775,0.114671595,0.114500515,0.11871672,0.12695333,0.13675481,0.14423577,0.14703761,0.1448936,0.13965291,0.13291638,0.12557845,0.11771809,0.109526336,0.10143209,0.09495267,0.09330505,0.10211125,0.12505783,0.16014308,0.19652277,0.22197042,0.2293337,0.22157896,0.20595127,0.18922101,0.17435813,0.16266954,0.15495181,0.15173422,0.15264122,0.1563641,0.16137372,0.16621225,0.1697157,0.1705473,0.1676184,0.16038467,0.14993052,0.13866363,0.12982874,0.12560607,0.12646997,0.13090242,0.13698427,0.14410596,0.15409295,0.17066921,0.19465987,0.22172344,0.24141951,0.2460456,0.23408163,0.21270096,0.18968256,0.17094018,0.15803759,0.1512959,0.14966945,0.15138792,0.15373184,0.15419738,0.15130089,0.14496806,0.1361938,0.12617244,0.11564556,0.10479923,0.09396898,0.084324546,0.07756885,0.075033434,0.076518804,0.08086533,0.08770839,0.10010364,0.12408069,0.16415538,0.21644433,0.2676741,0.30165374,0.31048152,0.29780212,0.27524933,0.25313246,0.23732214,0.22830321,0.22444986,0.22259219,0.22009198,0.21492176,0.20665954,0.19558012,0.1825115,0.16834593,0.1542161,0.14142372,0.131245,0.12468758,0.12223435,0.123474896,0.12703986,0.13054098,0.1314515,0.12818278,0.122308046,0.11874768,0.12370787,0.13781299,0.15409237,0.16046627,0.15114485,0.12957293,0.10658836,0.089817844,0.081294335,0.07793012,0.07667873,0.07567624,0.07455503,0.073405355,0.07241256,0.0716139,0.07090249,0.07017621,0.06937463,0.06845642,0.067388624,0.06615437,0.06487789,0.0637083,0.062785484,0.062054027,0.061374743,0.061323952,0.06396483,0.0734846,0.09335321,0.12361294,0.15791172,0.1871434,0.20347558,0.20527117,0.19589879,0.18127054,0.16616172,0.15309905,0.14273672,0.13478939,0.1287821,0.12384374,0.119110085,0.11399898,0.108870804,0.10454986,0.10165689,0.100000404,0.09876826,0.0971996,0.09500643,0.09248564,0.09024186,0.08876193,0.08818016,0.08789784,0.08713526,0.0861974,0.088380225,0.10040838,0.12779701,0.16924481,0.21278894,0.24342455,0.25205302,0.24200733,0.22279383,0.20266296,0.18414353,0.166669,0.14962731,0.13400532,0.12307868,0.12254578,0.13756718,0.16786854,0.20473075,0.23568237,0.25245902,0.256066,0.25299314,0.2480955,0.2410387,0.22986446,0.21654744,0.20697926,0.20694833,0.2167023,0.23377372,0.2538074,0.27433288,0.28998348,0.29659805,0.29060006,0.27442732,0.2519023,0.22827558,0.20679694,0.1905666,0.18111767,0.17884362,0.18252099,0.1898412,0.1975944,0.20172457,0.19955355,0.19154221,0.18224317,0.17690815,0.1776032,0.18124862,0.18202586,0.17626856,0.16507293,0.1532777,0.1449051,0.14151068,0.14266028,0.14899722,0.15974301,0.17183375,0.17841865,0.17572196,0.16424276,0.14932668,0.13486837,0.12270994,0.112684675,0.104729354,0.09856885,0.09339872,0.08839503,0.083363734,0.07950895,0.07882445,0.083574265,0.09340323,0.104997255,0.11216604,0.11133688,0.10327264,0.093722455,0.08828906,0.08955863,0.09592401,0.10360672,0.110695064,0.11922931,0.13587612,0.16506092,0.20339157,0.23742618,0.25342008,0.2472297,0.22688246,0.20446779,0.18671207,0.17428009,0.1649474,0.15821022,0.15369046,0.150836,0.1478288,0.14356108,0.13782495,0.13165784,0.1260638,0.12161941,0.11804842,0.11507621,0.11265249,0.111360885,0.11176876,0.11392268,0.11692379,0.11918822,0.11963975,0.11882911,0.11982903,0.12756555,0.14564939,0.1731564,0.20305716,0.2267863,0.23904383,0.2408749,0.23722434,0.2335551,0.23360266,0.23816903,0.24575411,0.25335324,0.25871745,0.26050934,0.2576132,0.24805935,0.23055522,0.20698892,0.18375903,0.16913283,0.16860135,0.18151587,0.20198803,0.22287335,0.23894422,0.24736081,0.2465229,0.23677476,0.2226484,0.21319918,0.2168049,0.23478206,0.25863305,0.27680945,0.28107825,0.2717383,0.25344318,0.23333515,0.21609056,0.20414563,0.19583891,0.18847519,0.17979647,0.17015815,0.16080473,0.15294443,0.14661092,0.1419365,0.13929309,0.13969658,0.14337271,0.14968365,0.15672578,0.16247584,0.16495827,0.16325961,0.1579703,0.15189569,0.14898956,0.15280701,0.1633256,0.17673461,0.18644504,0.18874295,0.18454717,0.17866762,0.17433025,0.17095347,0.16556697,0.15627877,0.14424466,0.13245921,0.12346614,0.11752289,0.11296672,0.108513236,0.10508595,0.10488305,0.10843579,0.11309073,0.11532167,0.11424112,0.1120589,0.111390255,0.112211905,0.112522505,0.11057342,0.107686065,0.108720176,0.12154362,0.15216316,0.19963543,0.2521076,0.2930356,0.31004176,0.3031118,0.28122628,0.25560114,0.23256864,0.21388434,0.19918191,0.1887374,0.18281017,0.18063007,0.18032175,0.18045531,0.18070757,0.18122953,0.18155742,0.18081671,0.17814368,0.1731688,0.16581804,0.15681235,0.1475387,0.1396001,0.13375269,0.1297908,0.12771209,0.12929644,0.13851519,0.15840445,0.18676305,0.2152512,0.23499823,0.24445975,0.24960022,0.25755373,0.268483,0.2769482,0.27762854,0.27068844,0.26193312,0.25852707,0.2660035,0.28271398,0.299755,0.30286732,0.28307223,0.24376683,0.20105867,0.17273265,0.16715245,0.17948575,0.19799288,0.21201368,0.21609585,0.20989029,0.19765693,0.18864207,0.1929317,0.2153179,0.24954136,0.28260183,0.30272695,0.305997,0.29597685,0.27872232,0.26009583,0.24285631,0.22845893,0.21642314,0.2071807,0.20073842,0.19762729,0.19653684,0.19629107,0.194703,0.1910472,0.18444122,0.17601983,0.16730998,0.16063063,0.15681076,0.15567732,0.15625916,0.15779269,0.15948309,0.16140409,0.16531132,0.17467062,0.19048773,0.20856597,0.22011255,0.21939802,0.20791908,0.1936792,0.18389797,0.18098001,0.18281774,0.18606938,0.18861096,0.1893592,0.18866916,0.18828447,0.19205119,0.20321925,0.22134416,0.23992427,0.24981411,0.24469878,0.22578745,0.20074646,0.17858188,0.16378841,0.15404874,0.14370136,0.13014723,0.118389904,0.119455196,0.14248426,0.18738006,0.24288177,0.29337725,0.3277248,0.34349182,0.34570035,0.34129962,0.33660945,0.33406332,0.33297983,0.3300393,0.32292438,0.31170332,0.2984464,0.28500798,0.27225623,0.26117322,0.25394097,0.25232926,0.25536,0.25812915,0.2554606,0.24536078,0.23072584,0.21581179,0.2029038,0.19098276,0.17894046,0.16902423,0.16817491,0.1817135,0.20733495,0.23203224,0.24255592,0.23379903,0.21332805,0.19195354,0.17724192,0.16966547,0.16678597,0.16582792,0.16573697,0.16618884,0.16638196,0.16437177,0.15825528,0.14809336,0.13639246,0.12650348,0.12056842,0.11814496,0.11693716,0.11421212,0.109097846,0.10321116,0.099997245,0.10324418,0.11584971,0.14057736,0.17765288,0.22472192,0.27274504,0.31175128,0.3326738,0.3353854,0.32436213,0.306793,0.28642496,0.26525393,0.24496312,0.22766875,0.2143736,0.20358752,0.1932262,0.18254173,0.17264454,0.16472483,0.15876563,0.15419431,0.15075916,0.1485129,0.1465513,0.14317106,0.13710393,0.12900223,0.12087504,0.11464728,0.111354895,0.11310335,0.124287166,0.15037404,0.19012995,0.23309295,0.26195988,0.26672673,0.24914986,0.22169852,0.19503556,0.1744204,0.15966244,0.15045851,0.14715104,0.15007567,0.15859152,0.17115001,0.18537521,0.19729847,0.20235346,0.19768119,0.18456589,0.16733243,0.15051658,0.13658315,0.12611881,0.1186873,0.113104634,0.107725084,0.10212416,0.09921818,0.10574356,0.12734976,0.16277544,0.20074682,0.22713695,0.23380691,0.2239387,0.20679303,0.19085795,0.17985056,0.17392154,0.171899,0.17222978,0.17369856,0.17510104,0.1756403,0.17431389,0.17064403,0.16438921,0.15608479,0.14637296,0.13650057,0.12787245,0.122047305,0.119686425,0.12024203,0.122245096,0.12428383,0.12578626,0.12726314,0.13087861,0.14086312,0.16181314,0.19455065,0.23280828,0.26614228,0.28731394,0.297544,0.30284572,0.30613795,0.3026506,0.2862734,0.25885436,0.23556751,0.2354141,0.26678345,0.31720123,0.36046067,0.37310126,0.34758103,0.29307956,0.22715051,0.16908114,0.13525872,0.13617174,0.17049481,0.22368784,0.2731556,0.3004962,0.30050868,0.28270122,0.2639154,0.25803196,0.26810393,0.28499335,0.29515094,0.28933263,0.2685925,0.24042271,0.21466945,0.1985683,0.19603324,0.20564574,0.22162144,0.23610336,0.24295096,0.23952584,0.22656703,0.20778741,0.1885491,0.17371093,0.16457967,0.15855233,0.15178053,0.14238513,0.13172147,0.12214542,0.115343876,0.110960305,0.10885077,0.109866716,0.116961785,0.13063622,0.14759834,0.15971303,0.16174659,0.15356141,0.14135207,0.13033563,0.12296036,0.11786178,0.11345131,0.10868159,0.1037072,0.09909228,0.09560406,0.0943559,0.09711933,0.10624263,0.12218594,0.14186381,0.15857048,0.1669055,0.16667779,0.16353382,0.16428694,0.17088556,0.17966253,0.18347888,0.17998408,0.17276274,0.1723528,0.18612726,0.21538293,0.2500721,0.2778413,0.2880666,0.2804066,0.2605654,0.23773234,0.21778093,0.20283468,0.19213514,0.18418704,0.17864192,0.1752314,0.17406316,0.17404419,0.17474885,0.17596482,0.17864537,0.18241544,0.1861883,0.18891495,0.1933707,0.20455404,0.22571938,0.251902,0.2723808,0.27763042,0.2693145,0.2590889,0.26173437,0.2825239,0.31477615,0.34307885,0.35579753,0.35042372,0.33440313,0.31620482,0.30044258,0.28534102,0.26668063,0.24093609,0.20869057,0.1746546,0.14595275,0.12883,0.12850906,0.1487339,0.1905867,0.24672656,0.30270022,0.34300563,0.36212918,0.36388996,0.35616556,0.3424988,0.32414111,0.3025562,0.28318608,0.2719172,0.27306643,0.28525952,0.3025619,0.31529137,0.31568554,0.3008767,0.27530193,0.2468905,0.2227379,0.20530748,0.19330484,0.18457319,0.1785654,0.17633982,0.1785007,0.18309526,0.18575992,0.18257743,0.17369497,0.16384561,0.15901989,0.16202356,0.17067003,0.18001156,0.18579094,0.18690825,0.18513106,0.18321826,0.18357794,0.1874636,0.19587128,0.20758088,0.21877377,0.22254874,0.21463908,0.19648735,0.17576905,0.15999365,0.15221156,0.14999275,0.14904988,0.14615303,0.14038806,0.13232532,0.123893656,0.118184306,0.11969944,0.13094424,0.15022989,0.1699468,0.18212102,0.18242805,0.17370379,0.16214444,0.15349053,0.14947478,0.14802355,0.14606166,0.14281397,0.1430284,0.1565655,0.1922945,0.24992216,0.31423154,0.36443081,0.3856686,0.37993574,0.35853526,0.33423615,0.31294677,0.29614428,0.28247288,0.27028063,0.2584723,0.24689855,0.23620307,0.22670726,0.21908206,0.21418412,0.21270837,0.21369801,0.21501099,0.21460323,0.21175034,0.20654726,0.1995896,0.19237374,0.18838944,0.19288255,0.21040905,0.24213608,0.28255212,0.32149065,0.34669185,0.35236847,0.34024355,0.3203034,0.3017982,0.29106638,0.2888467,0.2956246,0.3108474,0.33269238,0.35369432,0.364478,0.35775623,0.33483604,0.3030789,0.27237284,0.24883707,0.23431836,0.22695172,0.22528659,0.23024428,0.24576898,0.2733325,0.3078883,0.33759773,0.35277355,0.3538808,0.35119995,0.35640392,0.3723085,0.3936361,0.41079405,0.41839853,0.41428086,0.39951873,0.3746531,0.3427006,0.31005645,0.28586105,0.2761111,0.27948382,0.289382,0.29905245,0.30577967,0.30890658,0.30832154,0.3029277,0.29261294,0.2778199,0.25955096,0.23846555,0.21546441,0.19233304,0.17110936,0.15337408,0.14056605,0.1357798,0.14517482,0.17202757,0.2125322,0.2517308,0.2752217,0.27517515,0.25744933,0.23145337,0.2062632,0.18442589,0.16647792,0.15188497,0.14140774,0.13589619,0.1360665,0.14300029,0.15781292,0.18081665,0.20862357,0.23443754,0.24995197,0.25021443,0.23560934,0.21179277,0.18614598,0.16472627,0.15018898,0.14343633,0.14641798,0.16439132,0.20079343,0.25166723,0.3021945,0.33647648,0.34579575,0.33383474,0.30954456,0.28250638,0.25893107,0.24208999,0.2310835,0.22241652,0.21278852,0.20232765,0.19405536,0.19142987,0.19507132,0.20241208,0.20866787,0.21026623,0.20644552,0.1997187,0.19344163,0.18986978,0.1889628,0.18919955,0.18878405,0.18834026,0.19197677,0.20762654,0.24098109,0.29120418,0.34801742,0.39863852,0.43269062,0.4461107,0.43880224,0.41475153,0.3820798,0.353405,0.3435801,0.3639413,0.41607034,0.4872098,0.5557024,0.5998563,0.60737115,0.57685614,0.5168134,0.44331864,0.37504458,0.32799438,0.30809763,0.31103942,0.32349452,0.33144385,0.3262144,0.31070867,0.29718253,0.30128637,0.3306524,0.37867466,0.42522478,0.44958255,0.44347164,0.4172386,0.39099452,0.38102117,0.38932124,0.40610352,0.4190198,0.42291787,0.42029938,0.4163413,0.41239753,0.4057862,0.39166868,0.368065,0.3363141,0.30245206,0.27242061,0.2510803,0.23941202,0.23814784,0.2477508,0.26826152,0.294581,0.31726572,0.32760036,0.32664192,0.32398736,0.32891533,0.33931994,0.3445188,0.33532652,0.31266212,0.28517452,0.26240537,0.24987744,0.24774551,0.25197914,0.2571015,0.25997868,0.26161,0.26383713,0.26677763,0.2670205,0.2629474,0.25492042,0.246912,0.24129969,0.23946726,0.24000598,0.2406316,0.23796296,0.22937316,0.21474116,0.19815417,0.18742035,0.19129848,0.21333237,0.24848248,0.28316295,0.30457762,0.30681467,0.294309,0.2748547,0.2553937,0.2385263,0.22455782,0.21264012,0.20220219,0.19383697,0.1888272,0.18815745,0.19051939,0.19303055,0.19299138,0.19021718,0.18665539,0.18561089,0.19105871,0.20862126,0.24237995,0.2910734,0.34354937,0.3846765,0.40365338,0.40291598,0.39499846,0.3931857,0.40253136,0.41874775,0.43578184,0.4507344,0.46545506,0.48138747,0.49781486,0.5120011,0.5220691,0.5282941,0.5315626,0.5319443,0.52731246,0.51612407,0.49856523,0.47731134,0.45409766,0.42858323,0.3984462,0.3622656,0.3207692,0.27723143,0.23623723,0.2023185,0.1780758,0.16475822,0.16349308,0.17759645,0.20846848,0.2526935,0.29818782,0.33224204,0.34729317,0.34788072,0.34375942,0.34272352,0.34306344,0.3372899,0.3201476,0.29477176,0.27091965,0.25721696,0.25626862,0.26461035,0.2770817,0.28871462,0.2948742,0.29097793,0.27526137,0.25160173,0.22827892,0.21268974,0.20592888,0.20364743,0.20038152,0.19549654,0.1924166,0.19638999,0.2071415,0.2203455,0.22821392,0.22870801,0.22289252,0.21505255,0.20531197,0.19341922,0.17910658,0.16515552,0.1538073,0.14610887,0.14157434,0.14028041,0.14263521,0.1483367,0.15509976,0.1596424,0.15959163,0.1549791,0.14754468,0.13935721,0.1315323,0.12464169,0.1189831,0.11494904,0.112404436,0.111397676,0.11349002,0.1229826,0.14388776,0.17480855,0.20573299,0.22377174,0.22192757,0.20466347,0.18260722,0.16515166,0.15547593,0.15276133,0.15481175,0.15954757,0.16478302,0.16822655,0.16884299,0.16718425,0.16597609,0.16875756,0.17927258,0.19885977,0.2254013,0.2524893,0.27303445,0.28310615,0.28544375,0.2877833,0.2974606,0.3164097,0.3407167,0.3654635,0.3882793,0.40840212,0.42513835,0.43863657,0.45341834,0.47543445,0.50575155,0.5360506,0.55239683,0.54357713,0.50621814,0.44704962,0.38104162,0.32823905,0.30417264,0.31172216,0.33786187,0.3628751,0.37013197,0.35332325,0.31547603,0.2677668,0.2256195,0.20162106,0.19803293,0.20556228,0.21283746,0.21529722,0.21816361,0.2288558,0.2511827,0.28070942,0.30815357,0.32216892,0.31769922,0.2979823,0.27409554,0.25587285,0.24699026,0.24388231,0.24079108,0.23354553,0.22132558,0.20620932,0.19213808,0.18293393,0.18019642,0.18224983,0.18556541,0.18743056,0.18730444,0.18667705,0.18685299,0.18811601,0.18873356,0.18646984,0.17961188,0.16835718,0.15593643,0.14820297,0.15297689,0.17218459,0.19945838,0.21921395,0.22126603,0.20554523,0.18389209,0.16619946,0.15626764,0.15040562,0.14444183,0.13599326,0.12565255,0.1151852,0.10684496,0.10192806,0.10116782,0.103992425,0.109444164,0.11550984,0.12035066,0.12217858,0.11995978,0.1129775,0.10131121,0.08641914,0.07108368,0.05824166,0.049739044,0.0470883,0.05349255,0.07330414,0.107979655,0.15115732,0.19028436,0.21392156,0.21924841,0.2122757,0.20187615,0.19402318,0.18977384,0.18735723,0.18444414,0.18010928,0.1749208,0.17042162,0.16809785,0.16905598,0.17329668,0.17962547,0.18532155,0.18810172,0.18678832,0.18252599,0.17717738,0.17300928,0.17111069,0.17147721,0.17322077,0.1766098,0.18395257,0.19834135,0.21949846,0.24255408,0.26017424,0.26893747,0.27031043,0.26824057,0.26329997,0.2526459,0.2340828,0.2106241,0.19092536,0.18306601,0.18948819,0.20371944,0.21600257,0.21852767,0.21146406,0.2001741,0.1914463,0.18700029,0.18405367,0.17830987,0.17010327,0.1646073,0.16805422,0.18110096,0.19921768,0.21717386,0.23531659,0.25632623,0.2801008,0.29939294,0.30631456,0.29840243,0.28171614,0.26506016,0.2545289,0.2506779,0.25030828,0.24962927,0.24638718,0.24091853,0.23456366,0.22854362,0.22187056,0.21271855,0.19918573,0.18219793,0.16459276,0.15048195,0.14219381,0.1397687,0.1409279,0.14278139,0.14340705,0.14242825,0.14216572,0.14638816,0.16010469,0.18334173,0.21084853,0.23124985,0.23785836,0.23038898,0.21639381,0.20198153,0.1905094,0.18215625,0.17778538,0.17880444,0.18551545,0.19569616,0.20527422,0.21157444,0.21489905,0.21758576,0.22034316,0.22098489,0.2160933,0.20447032,0.18829924,0.17213917,0.15972026,0.15257415,0.14896579,0.1468332,0.1447044,0.14473687,0.15104641,0.16938959,0.20061664,0.23890798,0.27071804,0.28535196,0.27987802,0.26233986,0.24219857,0.22606148,0.21433431,0.20548761,0.19757909,0.18969469,0.18140896,0.1729784,0.16524492,0.15912883,0.15476303,0.15120548,0.14724837,0.14251913,0.13779269,0.1340202,0.13141055,0.12926072,0.12682168,0.12383767,0.120741464,0.118727066,0.11980227,0.12647901,0.1389141,0.15381952,0.16436106,0.1659611,0.15807444,0.14499302,0.13128836,0.12129611,0.118986726,0.12736179,0.14606605,0.16894996,0.18789874,0.19697575,0.19661756,0.19093303,0.18470098,0.18015788,0.17766142,0.17578048,0.1729476,0.16729952,0.15916781,0.14979024,0.14158355,0.13483264,0.12977521,0.12800483,0.13621175,0.16133207,0.20414527,0.25276378,0.28984526,0.3026773,0.2921811,0.26768073,0.2397675,0.21328515,0.18869548,0.1642914,0.1396154,0.11605386,0.09603482,0.08122554,0.071320884,0.06473221,0.059460923,0.05438824,0.049116854,0.04405771,0.039464246,0.035567928,0.032212492,0.029480776,0.027401047,0.026255533,0.026426814,0.028667143,0.033470135,0.04027817,0.04683915,0.05024733,0.048776984,0.043198537,0.03618792,0.03059979,0.028226025,0.02926256,0.032530177,0.0357839,0.036894877,0.03510036,0.031389024,0.027609661,0.024940744,0.023596955,0.023108244,0.023715718,0.026345788,0.032389328,0.041178808,0.04987913,0.05404355,0.051868975,0.044723067,0.036699146,0.030810362,0.02872593,0.03100423,0.03876136,0.052935258,0.07379095,0.09895114,0.124121316,0.14300495,0.15173095,0.1494332,0.14003342,0.12801842,0.117442966,0.109676756,0.10484593,0.10213455,0.1008668,0.100412406,0.10009065,0.099045545,0.09665465,0.09290125,0.08825729,0.08340508,0.07899058,0.07589389,0.07489579,0.076362245,0.07970136,0.0836961,0.08700979,0.08874905,0.0885647,0.087292425,0.0873295,0.09260625,0.105359614,0.12373821,0.14163502,0.15361392,0.15819669,0.15709364,0.15205412,0.14356107,0.13248955,0.120135866,0.107709505,0.09664965,0.08995185,0.092083275,0.10521084,0.12702353,0.15101798,0.17070933,0.18283929,0.18779683,0.18805106,0.18518893,0.1806251,0.17534375,0.1719745,0.17202614,0.17611039,0.18245237,0.18972391,0.19630812,0.20105845,0.20181727,0.19787508,0.18960015,0.17946933,0.16893987,0.15987422,0.15359174,0.15314555,0.16023417,0.17437446,0.19039762,0.20120071,0.2008531,0.18884696,0.17030776,0.15304317,0.14282429,0.14037652,0.14222808,0.14375286,0.14241947,0.13810872,0.13183703,0.124140866,0.11592116,0.10929817,0.10778126,0.1124734,0.12074957,0.1267186,0.12737934,0.12389022,0.12037011,0.118373655,0.11661675,0.11285299,0.10690937,0.10019692,0.094148494,0.088935696,0.08401457,0.07902304,0.07438583,0.07075318,0.06837842,0.066849776,0.06575514,0.06499087,0.064723276,0.06476159,0.06468139,0.06409653,0.06319292,0.062436875,0.0634013,0.068930686,0.083806805,0.1097841,0.1431946,0.1725869,0.18805178,0.18538356,0.17059456,0.15134396,0.13435099,0.12075583,0.11039706,0.10172737,0.094662525,0.088948846,0.08484813,0.08194959,0.080216594,0.07952096,0.07995563,0.08082995,0.08154127,0.08151876,0.081288196,0.08101726,0.08069951,0.07923188,0.076150425,0.071410485,0.06642223,0.06434857,0.071348846,0.095183015,0.13825744,0.1924522,0.23921937,0.2628146,0.2593369,0.23938946,0.21704607,0.20236617,0.1979797,0.20243102,0.21275687,0.2261707,0.24102187,0.255936,0.26886094,0.2760506,0.27466726,0.26459664,0.24903156,0.23201545,0.21799773,0.21134458,0.2150392,0.2267204,0.23891258,0.24362259,0.23971623,0.23289852,0.23161845,0.2391284,0.25364837,0.26897702,0.280648,0.2843841,0.27847317,0.26171514,0.23772694,0.21317403,0.19598655,0.18927056,0.18997997,0.1915055,0.18932198,0.18396413,0.17880936,0.17532034,0.17104554,0.16280438,0.15111376,0.14102149,0.1374812,0.14159536,0.14933299,0.15602036,0.15836127,0.15656464,0.1517068,0.14673667,0.14491421,0.15023828,0.16193353,0.17419928,0.17753242,0.16835444,0.15066637,0.13399152,0.12413731,0.12176431,0.12381291,0.1277696,0.1317385,0.13375102,0.13183193,0.12515008,0.11505189,0.10433065,0.09581093,0.09083884,0.08887467,0.0881671,0.08696679,0.08476914,0.083231926,0.085869424,0.09642944,0.115398824,0.13857146,0.15848066,0.17019798,0.17472619,0.1778347,0.18358046,0.18993121,0.1904434,0.1806221,0.16226165,0.14185019,0.12512527,0.11400798,0.10690815,0.10201093,0.0982087,0.09540391,0.09319941,0.09114721,0.08887752,0.08645487,0.08434117,0.08302989,0.08295041,0.08399272,0.0856109,0.086968355,0.08743466,0.08683295,0.08531884,0.083338104,0.081188746,0.08010566,0.08228875,0.09148096,0.10810407,0.12867814,0.14560391,0.1566624,0.16517329,0.17847335,0.19723858,0.21618336,0.22710317,0.22755909,0.22173077,0.21895929,0.22739343,0.24927229,0.27760223,0.29867467,0.29911718,0.27446374,0.23329252,0.1929642,0.16956079,0.16867258,0.1834994,0.20119525,0.21119404,0.21036054,0.20212956,0.1935395,0.19200897,0.20195575,0.22197896,0.24417877,0.2586843,0.25928572,0.24705158,0.22867018,0.21176861,0.20036097,0.19287841,0.18461685,0.17162377,0.1543155,0.13704433,0.12614699,0.125533,0.13515264,0.1494586,0.16176262,0.16646093,0.16351223,0.1559088,0.14840633,0.14321594,0.14038466,0.13813923,0.13581014,0.13452005,0.13731748,0.14557244,0.1574329,0.1668815,0.16879396,0.1615267,0.14845602,0.1340359,0.121383846,0.11140158,0.10393467,0.098716736,0.09517207,0.09267504,0.090943344,0.09046171,0.09232924,0.096842706,0.10303369,0.108234495,0.11005186,0.10726008,0.10085088,0.0928146,0.08521595,0.07911556,0.07454747,0.07169665,0.0721417,0.080080576,0.09905923,0.12876053,0.16080143,0.18390937,0.1890253,0.17688794,0.15446812,0.13139816,0.11315506,0.10147969,0.09468135,0.09046874,0.08658519,0.08200354,0.07671402,0.07164962,0.06766444,0.065128006,0.06351416,0.061986048,0.059967708,0.057719696,0.0560834,0.05572899,0.05648096,0.05724435,0.05691326,0.055120196,0.053163316,0.053619716,0.06000547,0.07377076,0.09299624,0.111972295,0.12634248,0.1353761,0.1419333,0.14727317,0.14981513,0.146783,0.13812268,0.12823202,0.12534581,0.13812774,0.16883759,0.20744069,0.23470658,0.23487867,0.20922272,0.1746623,0.1508361,0.1456416,0.15389465,0.16486545,0.17052375,0.16828959,0.1592254,0.14655687,0.13507468,0.13118403,0.14091958,0.16519314,0.19671029,0.22183985,0.2287435,0.21509027,0.18909167,0.1644125,0.15126286,0.15212442,0.16130203,0.17107075,0.17669737,0.17841162,0.17786896,0.1751123,0.16858561,0.15831482,0.1466948,0.13696979,0.13003872,0.124490745,0.11832916,0.111003794,0.10354049,0.09736524,0.093895756,0.09399268,0.098392196,0.106763184,0.11848203,0.13075691,0.13973911,0.13975851,0.12865144,0.10843342,0.0863057,0.06863225,0.058491454,0.054375827,0.0531822,0.05260094,0.052682027,0.055824053,0.06506633,0.08112594,0.10045674,0.11632576,0.123437025,0.12118641,0.11359259,0.10538989,0.09928164,0.095439605,0.09304714,0.09138336,0.09028434,0.091207944,0.09801293,0.11673885,0.14988051,0.19210547,0.22874594,0.24635758,0.24063857,0.2208073,0.19971888,0.18634807,0.18040301,0.17725779,0.1719138,0.16313303,0.15210713,0.14150228,0.13309328,0.12798171,0.1260689,0.12674989,0.12868585,0.13056703,0.1317368,0.1329676,0.1365936,0.14580317,0.1635619,0.19079745,0.22448818,0.25669262,0.27749312,0.2802321,0.2668815,0.24469604,0.22174937,0.19953804,0.17787258,0.15608738,0.13810115,0.12697358,0.1258323,0.13655168,0.16187501,0.20136707,0.24886067,0.29287195,0.3223612,0.33057404,0.3172197,0.28941205,0.26341116,0.25816652,0.2823362,0.32356867,0.35506782,0.35417035,0.31770062,0.26209018,0.21235913,0.19065332,0.2076664,0.2595109,0.32741848,0.38694283,0.4175767,0.413669,0.38283625,0.341583,0.30414566,0.27809897,0.26195675,0.25030366,0.23847967,0.227084,0.22193772,0.23024483,0.25481585,0.2898709,0.3240558,0.34702066,0.35506734,0.3511583,0.341845,0.33520484,0.3361839,0.34339476,0.34733078,0.3389175,0.3170677,0.29190984,0.2763729,0.2786476,0.2964916,0.3192371,0.3310431,0.3196492,0.28310212,0.2322303,0.18321364,0.14793737,0.12892108,0.12185773,0.1209526,0.12185341,0.12208965,0.120560735,0.117921196,0.11572059,0.11524036,0.11591948,0.11620283,0.1146776,0.11145543,0.107811265,0.105813615,0.106793225,0.11087901,0.116454095,0.12187656,0.12679324,0.1334032,0.14656658,0.17049372,0.20550136,0.2429686,0.27024734,0.27627137,0.26099965,0.23282446,0.2040201,0.18275936,0.17160861,0.16871424,0.17009585,0.1726181,0.1739081,0.17433812,0.17541043,0.18213308,0.19983965,0.23245819,0.27535388,0.31645012,0.34133205,0.3450402,0.33550975,0.32849696,0.33507743,0.35515726,0.37977758,0.40031555,0.4142251,0.42439935,0.43282363,0.43580332,0.42392173,0.39015958,0.33866763,0.28827015,0.2604814,0.2636654,0.2840104,0.29710543,0.2872886,0.26065835,0.23918875,0.2425586,0.27270988,0.3138977,0.34704188,0.36409092,0.36791167,0.36336926,0.3506302,0.33059153,0.30949628,0.29650688,0.29534045,0.3011786,0.3067836,0.30889714,0.3106978,0.31640258,0.32635596,0.33536005,0.33600917,0.32442653,0.3017039,0.27402765,0.2475223,0.22659117,0.21089745,0.1986622,0.18894143,0.18424173,0.18723816,0.1974686,0.20984034,0.21852513,0.22061281,0.21815078,0.21501131,0.21399586,0.21465391,0.21483545,0.21191144,0.20392086,0.19026165,0.17304598,0.15698318,0.14660616,0.14367735,0.14691728,0.15528928,0.16796865,0.18394805,0.1991778,0.2103839,0.21608496,0.2184623,0.21878304,0.21695578,0.2116441,0.2034965,0.19506805,0.18913746,0.18669046,0.18681912,0.18840943,0.19072366,0.1929688,0.19316196,0.18882005,0.17862888,0.16328286,0.14576243,0.13028876,0.12236927,0.12556553,0.13945879,0.15741442,0.1715868,0.17746498,0.17870116,0.18286802,0.1964339,0.21749692,0.2378854,0.24730666,0.24203175,0.22517788,0.20462595,0.18605082,0.17167093,0.16061969,0.15225212,0.14623384,0.14220633,0.13888861,0.13548632,0.13214512,0.12991743,0.12894605,0.1286242,0.12770732,0.12574275,0.12274598,0.119867556,0.11849934,0.11973367,0.12314191,0.1275505,0.13290161,0.14131962,0.15734643,0.18560548,0.22995782,0.28831035,0.35277203,0.40871248,0.44550678,0.45959935,0.45885172,0.45268965,0.44792426,0.44246733,0.42894733,0.39937344,0.35282955,0.29951084,0.25612208,0.23653327,0.24121429,0.25839522,0.27126822,0.26924837,0.2520775,0.22928375,0.21511878,0.22130732,0.2511464,0.2961574,0.34210244,0.37582573,0.39333177,0.39712906,0.39339504,0.38503107,0.37336457,0.3580192,0.34062973,0.3226793,0.30602822,0.29120472,0.27866304,0.26797363,0.25838318,0.2486775,0.23795325,0.2258754,0.21267293,0.19930303,0.18659432,0.17494363,0.16334252,0.15078609,0.13675232,0.122440934,0.10932458,0.09896795,0.09173716,0.08762116,0.08581855,0.08661711,0.09177377,0.105539955,0.1303024,0.16325359,0.19402057,0.21173076,0.21174717,0.19970097,0.18531664,0.17598146,0.1727636,0.17293833,0.17294101,0.17060034,0.16568643,0.15999633,0.1572764,0.1613058,0.17386149,0.19275558,0.21272494,0.227907,0.23465939,0.23304361,0.22574687,0.21609421,0.20611842,0.19664836,0.18802874,0.18072705,0.17664151,0.18050009,0.19967836,0.23734172,0.28578797,0.32582557,0.3387454,0.31860384,0.27586976,0.22893204,0.19257338,0.17220418,0.16441564,0.16225916,0.15982586,0.15528268,0.15075763,0.1506958,0.15924363,0.17705674,0.1989349,0.21582913,0.22234279,0.2239285,0.23551035,0.26889607,0.32215783,0.37788025,0.41688403,0.42757106,0.4138869,0.3893021,0.3751389,0.38639608,0.42499307,0.47185576,0.5031782,0.5044108,0.48135242,0.4481019,0.41594067,0.3869473,0.36016774,0.3375834,0.3280589,0.34457245,0.39736328,0.47964177,0.56304914,0.6058452,0.5821615,0.49877623,0.39313337,0.30488178,0.25489587,0.23963404,0.24311693,0.2502011,0.2534063,0.25493053,0.26486066,0.29834232,0.36770868,0.47058287,0.58460283,0.6756652,0.72099113,0.72229856,0.70234394,0.68440276,0.679688,0.6861604,0.6970534,0.70709825,0.7145825,0.7205362,0.7255878,0.7268176,0.7172381,0.69062907,0.64840126,0.60059094,0.5585932,0.5245668,0.4898733,0.44354495,0.3846093,0.32336012,0.27332836,0.24234553,0.23392624,0.2542395,0.30995932,0.39792633,0.4955189,0.57202274,0.6080692,0.6087298,0.5939937,0.5809643,0.5731785,0.56356645,0.543567,0.5093618,0.46424052,0.41745517,0.38095474,0.36334983,0.36570606,0.38091838,0.3986465,0.41012514,0.41195187,0.40599012,0.39746073,0.3912121,0.38902608,0.39044926,0.39507768,0.40497217,0.42114794,0.44264436,0.4650086,0.48738256,0.5085264,0.5264553,0.53034353,0.51301545,0.4740374,0.42582333,0.37928486,0.3410726,0.31080428,0.28822944,0.2726512,0.2633184,0.25795662,0.25508186,0.25371101,0.25421706,0.25620732,0.25921708,0.26187944,0.2639625,0.26627555,0.27174416,0.28527525,0.31432706,0.36429667,0.43243393,0.50289017,0.5558541,0.5800498,0.58402604,0.5868104,0.6055149,0.64172703,0.6869404,0.7282913,0.7568504,0.76636106,0.75434303,0.72316843,0.6805399,0.6380348,0.607119,0.5967714,0.6099424,0.6402554,0.6735366,0.6937186,0.69196826,0.6677987,0.62537044,0.5694719,0.5062825,0.44550443,0.3955092,0.3588474,0.33083758,0.3076242,0.29297146,0.29919815,0.34146234,0.423793,0.5315301,0.6306772,0.6904059,0.7010467,0.67978066,0.64909893,0.618427,0.58217627,0.5354958,0.48510042,0.44536236,0.42675745,0.42976704,0.44728938,0.47011265,0.48976055,0.49862945,0.4899024,0.45985854,0.41143668,0.35546803,0.30561814,0.27122703,0.2527003,0.24464808,0.24027644,0.23620297,0.23253839,0.23349111,0.24235052,0.2582927,0.27253947,0.274983,0.26013777,0.2327709,0.2026545,0.17883335,0.16419716,0.15670931,0.15211762,0.14747994,0.14231439,0.13877116,0.14013565,0.14935297,0.16655989,0.18831015,0.20845616,0.22171563,0.22620149,0.22367889,0.2174304,0.2101265,0.20283061,0.19493419,0.18512852,0.17469479,0.170859,0.1871116,0.23203427,0.297843,0.3568757,0.38089827,0.36072603,0.31265447,0.26208693,0.2262231,0.20853692,0.2041563,0.206941,0.2122075,0.21768898,0.22268145,0.22717465,0.23250122,0.24362457,0.26855007,0.3117784,0.36641452,0.41526595,0.4430822,0.44972837,0.45071384,0.46359095,0.4934357,0.52928346,0.5551707,0.56202006,0.5549811,0.5460492,0.5477367,0.5639023,0.59345484,0.629148,0.66133595,0.67539877,0.65781784,0.6050629,0.5317361,0.46801767,0.4411659,0.46069053,0.5120687,0.5707622,0.6110608,0.614945,0.5737503,0.49715766,0.41264403,0.35170865,0.32891917,0.3334842,0.34388912,0.34647408,0.3433397,0.34275445,0.35041654,0.36896023,0.40183195,0.4493924,0.5005129,0.53356594,0.5314769,0.49636766,0.44662452,0.4010922,0.36663997,0.34040883,0.31793675,0.2986693,0.2860628,0.28536567,0.3004911,0.32900134,0.361312,0.3838358,0.38763818,0.3720461,0.3453485,0.32001337,0.3081988,0.31567577,0.338006,0.3627795,0.37628445,0.3722433,0.35383776,0.33215296,0.3179772,0.3147454,0.3151379,0.30728057,0.2854354,0.2542329,0.22460489,0.20389247,0.19286264,0.18704088,0.18213594,0.17590947,0.16877998,0.16196339,0.15631698,0.15123594,0.14548598,0.13807504,0.12939632,0.12078923,0.11363533,0.10822916,0.10358261,0.099183254,0.09630895,0.098866224,0.109517016,0.12874298,0.15363896,0.18388999,0.21919696,0.258741,0.2935926,0.31342658,0.31049705,0.2884388,0.25703034,0.22759008,0.20539252,0.19045924,0.1795886,0.17049365,0.16198127,0.1541001,0.14650814,0.13959615,0.13331364,0.12814295,0.123634644,0.1199826,0.117096476,0.11562344,0.11588729,0.11833138,0.12281126,0.12863272,0.13531584,0.14284402,0.15174435,0.16205375,0.17455263,0.1921283,0.21668625,0.24569492,0.269033,0.27802756,0.26919428,0.24783456,0.22034632,0.19414021,0.17527926,0.16824828,0.17141776,0.17773765,0.17976338,0.17589454,0.170775,0.17007345,0.17495446,0.18102904,0.1828097,0.17781128,0.16798897,0.15718634,0.14871693,0.14393826,0.14196138,0.14090002,0.13890822,0.13732944,0.14145185,0.16088231,0.20243311,0.26316968,0.32598755,0.3687942,0.37770388,0.35570875,0.3176804,0.27924395,0.24928981,0.22946502,0.21834533,0.21363984,0.21345894,0.21536024,0.21731298,0.21828794,0.21887828,0.22047567,0.22291328,0.22488987,0.22396563,0.22019146,0.21460849,0.2091098,0.20313764,0.19541235,0.18497805,0.17311822,0.16427994,0.16639279,0.19044738,0.2406917,0.30846336,0.3702325,0.4065943,0.41246524,0.40007737,0.38135597,0.36221638,0.34240675,0.32431218,0.31146234,0.30539644,0.30237687,0.2973522,0.2882323,0.2783197,0.27264598,0.2725614,0.27322802,0.26711944,0.25112322,0.22928126,0.21056968,0.2015634,0.20327544,0.2106092,0.21893854,0.22750719,0.24269648,0.2697915,0.3078705,0.3433216,0.3611236,0.3523477,0.32363918,0.28730783,0.25557455,0.23272872,0.21958114,0.2145018,0.21553278,0.21937512,0.2223025,0.22170575,0.21687825,0.20871866,0.19856763,0.18750894,0.17670481,0.1673392,0.16054998,0.15647312,0.15437011,0.1531475,0.15205522,0.15069757,0.14852758,0.14600287,0.14611085,0.15507202,0.17694598,0.20729278,0.23119588,0.23333748,0.2098326,0.17201512,0.13646089,0.113553114,0.103818625,0.10308242,0.10743484,0.11432431,0.121037506,0.12509489,0.1252954,0.12252443,0.11834832,0.113994025,0.10984418,0.106008135,0.10291348,0.101451375,0.10288918,0.10705516,0.11196762,0.11392764,0.11281076,0.11426518,0.13047986,0.16903651,0.22490263,0.2767812,0.3026394,0.2942557,0.26298997,0.2271884,0.19855453,0.17842452,0.16318522,0.15062346,0.14029433,0.13221195,0.12593502,0.12095072,0.1171065,0.113992274,0.1111903,0.10813969,0.10480976,0.10133591,0.0979914,0.09475545,0.09134906,0.08703485,0.08064332,0.07103946,0.05817047,0.043797135,0.030844437,0.021750601,0.0171467,0.01599536,0.016592177,0.017481366,0.017819272,0.017360417,0.016818747,0.018950785,0.029764146,0.057263244,0.10562498,0.16881283,0.22906087,0.2662458,0.26986453,0.24755831,0.21898519,0.2033453,0.20616539,0.21885239,0.22749881,0.22454138,0.2142058,0.20853472,0.21828645,0.24319609,0.2701387,0.28361592,0.2797228,0.2747104,0.29096472,0.33870432,0.40032664,0.44440046,0.44638452,0.4079157,0.34941292,0.2942446,0.25392592,0.22823046,0.21121036,0.19763029,0.18483333,0.17316079,0.16411461,0.15878302,0.1557581,0.1521498,0.14568579,0.1368218,0.12791815,0.121202566,0.116988085,0.11431125,0.11194789,0.10956478,0.10719484,0.105076306,0.10477948,0.11003527,0.12676406,0.15530342,0.18762185,0.20670612,0.20212658,0.17548726,0.14197306,0.11512807,0.10181931,0.10014963,0.106354505,0.11590552,0.1251873,0.13203044,0.13907826,0.15367515,0.18229784,0.22262794,0.26104912,0.28175113,0.27747056,0.2536485,0.22125362,0.18942492,0.16285053,0.1435531,0.13165636,0.12776811,0.13428874,0.15796208,0.19912775,0.24875434,0.28532422,0.29611263,0.28090444,0.25476965,0.22841872,0.20684685,0.18828934,0.17295742,0.16160743,0.15477496,0.15070777,0.14684606,0.14125162,0.13383313,0.12599207,0.119347475,0.11468432,0.11175761,0.10989168,0.10844647,0.10707512,0.10574591,0.104630716,0.10387683,0.10331782,0.10401061,0.10921199,0.12501678,0.15284877,0.18563358,0.20648746,0.20345025,0.17680751,0.14108661,0.11072322,0.092774846,0.0849353,0.08232666,0.08118915,0.08009946,0.078770146,0.07812817,0.080085486,0.08793142,0.102436215,0.12090399,0.13580817,0.14219995,0.1395033,0.1335898,0.12936126,0.1292153,0.1310361,0.13262345,0.1337334,0.13979356,0.16161676,0.21000414,0.28531358,0.3708234,0.4396967,0.4715406,0.46414438,0.43103814,0.3874301,0.34290016,0.29956546,0.2596434,0.22484986,0.19753617,0.17736827,0.16425528,0.15884532,0.1617334,0.17110443,0.18130325,0.18677855,0.18429995,0.17581372,0.16548152,0.15834576,0.15647934,0.15901351,0.16208576,0.16339837,0.16466813,0.17279978,0.19239223,0.21991198,0.24116929,0.24279892,0.22157253,0.18813515,0.1561683,0.1337142,0.11999341,0.111052044,0.10426114,0.100104816,0.10132543,0.111838005,0.13441491,0.16729356,0.20233943,0.22777317,0.2348963,0.2233553,0.20188843,0.1825611,0.17401463,0.1763994,0.18347965,0.18855093,0.19111389,0.19778764,0.21736626,0.25131744,0.28959998,0.31439003,0.31383395,0.28882948,0.25179556,0.21484266,0.18459128,0.1616994,0.14550783,0.13528018,0.12991118,0.12743823,0.12553124,0.12282585,0.11904585,0.11493456,0.111088604,0.107933044,0.105237655,0.10292146,0.10084034,0.099336855,0.09863544,0.098659776,0.098953076,0.099550754,0.102702625,0.112522565,0.13160193,0.15588455,0.17451508,0.17693315,0.16148634,0.13667789,0.113866836,0.09934708,0.092673056,0.0905559,0.090336956,0.091155194,0.09243044,0.09363835,0.09430096,0.095573805,0.09990128,0.10927027,0.12263822,0.13584562,0.14416581,0.14553173,0.1413238,0.13559575,0.13201672,0.13237053,0.13595368,0.1438752,0.1615665,0.19570096,0.24480371,0.29452178,0.32600048,0.32918814,0.3094351,0.2805611,0.25629994,0.24532384,0.25076437,0.2688309,0.28927246,0.30134055,0.30148447,0.29747057,0.30204192,0.32335675,0.3572365,0.39023235,0.4084902,0.40610865,0.38620147,0.35613087,0.32352868,0.29407778,0.2719785,0.25854814,0.2530839,0.2535502,0.2604966,0.275439,0.29838923,0.3222715,0.33635917,0.3321869,0.31010208,0.27813014,0.2465385,0.22364533,0.21260826,0.21234179,0.21790136,0.22483431,0.23256464,0.24568665,0.26956177,0.30267218,0.33426306,0.34953657,0.34017017,0.30978474,0.2714404,0.23970859,0.22328465,0.22249644,0.2313074,0.24339004,0.25605857,0.27309692,0.29706374,0.32637134,0.3495307,0.35746667,0.3457531,0.32036543,0.28767768,0.25463036,0.22659473,0.2097645,0.20819557,0.22176905,0.24583788,0.2731178,0.2964789,0.311121,0.31507125,0.30844775,0.2921981,0.2681153,0.23896022,0.20892799,0.1829191,0.16548538,0.1587861,0.16169931,0.16981338,0.17779623,0.18212543,0.1843343,0.18998867,0.20394772,0.22417243,0.24183877,0.24840057,0.24245693,0.2305333,0.22124805,0.22031255,0.22791831,0.23823024,0.24115938,0.2274404,0.19687177,0.16024737,0.13329029,0.12430928,0.12988572,0.13902986,0.143616,0.14212401,0.13793516,0.13418217,0.13185452,0.13051887,0.12933332,0.12802511,0.12712587,0.12983061,0.14232397,0.17195123,0.22033338,0.27774024,0.3241258,0.34079054,0.32282415,0.2824498,0.23942648,0.20863271,0.19344364,0.18853176,0.18591632,0.18055283,0.17168027,0.16161115,0.15324207,0.14860028,0.14844291,0.15219648,0.15784575,0.16295134,0.16578461,0.1670041,0.16819458,0.17061192,0.17286412,0.17269881,0.16872199,0.16349998,0.16300772,0.17439067,0.19969748,0.2329442,0.26124778,0.27457285,0.27169466,0.26200882,0.2574432,0.26575974,0.2857616,0.30838737,0.32261923,0.32291207,0.3162196,0.31879273,0.34550753,0.39688668,0.4572855,0.5056303,0.52881575,0.52765864,0.5126491,0.49436942,0.4778911,0.46013752,0.43686846,0.40664855,0.37659064,0.35847268,0.36131623,0.3826947,0.40681383,0.41673633,0.40423867,0.37436935,0.33650398,0.29901752,0.26720414,0.2437201,0.22848774,0.2181568,0.21038775,0.20610116,0.21186776,0.23437436,0.2756023,0.32703295,0.37452152,0.40598333,0.41904643,0.41922125,0.41284952,0.40107813,0.38027003,0.34723687,0.30514812,0.26296335,0.23228307,0.22056085,0.22891884,0.25007662,0.27183744,0.28246927,0.2775986,0.26128674,0.24151339,0.22408338,0.21074216,0.20077135,0.19311792,0.18700159,0.18283023,0.1833563,0.19400863,0.21858907,0.25444958,0.28975332,0.30983186,0.30515924,0.2777538,0.23808207,0.19855441,0.1669283,0.14476371,0.12933664,0.11665353,0.10772585,0.111297585,0.1448644,0.2155927,0.31168863,0.39626774,0.44038188,0.4347799,0.39961267,0.3549745,0.31516734,0.28325891,0.2647675,0.2639151,0.28084782,0.30700657,0.33150077,0.34626433,0.34876654,0.33851147,0.31633997,0.2853131,0.25467333,0.23614068,0.23861085,0.25973424,0.28896,0.3119694,0.31975165,0.30878094,0.28345037,0.25332808,0.23288912,0.23100097,0.24555965,0.26097485,0.26261196,0.24551927,0.2180528,0.19090223,0.17130905,0.16103898,0.15961523,0.16494296,0.17317511,0.18006988,0.18283568,0.1818472,0.18015374,0.18255912,0.19206615,0.20739095,0.22186649,0.22893824,0.22627173,0.2184379,0.21168631,0.2110774,0.21733999,0.22938532,0.24572752,0.2671092,0.29665026,0.33424726,0.37240353,0.39446196,0.38792327,0.35274795,0.30429432,0.25965232,0.2286355,0.21076001,0.20109351,0.19482607,0.18894632,0.18239926,0.17532675,0.1686083,0.16248588,0.15641509,0.14916606,0.1402514,0.13049613,0.1223016,0.1178459,0.117661,0.11968783,0.1211577,0.12011174,0.116478354,0.11075947,0.10426409,0.09945182,0.100842886,0.11130825,0.12874739,0.1445542,0.1500848,0.14234255,0.12632047,0.109542646,0.09718338,0.090065844,0.0866063,0.084887795,0.08354405,0.08206001,0.080839776,0.08125707,0.084914036,0.09172866,0.09910226,0.102621906,0.09995782,0.09217253,0.08330501,0.07628617,0.07208338,0.069749944,0.06860337,0.06827142,0.07073764,0.08246509,0.115341805,0.17701022,0.25902003,0.33320096,0.370304,0.36216235,0.32831582,0.298652,0.2915606,0.30668718,0.33052266,0.3482394,0.3505081,0.33854854,0.32263866,0.3156197,0.32386306,0.34145102,0.35453212,0.3505971,0.32877055,0.3007057,0.2815564,0.27831694,0.28351486,0.28439716,0.2728833,0.253842,0.23796426,0.23683102,0.2532902,0.28239658,0.30924928,0.32159114,0.31495878,0.30021247,0.29120028,0.2977123,0.31605008,0.3358231,0.34555915,0.34184214,0.3293476,0.3184534,0.3177944,0.32879725,0.3441591,0.35265353,0.3473818,0.3296199,0.3070897,0.28658965,0.2709383,0.25846085,0.24760263,0.23811017,0.23355944,0.24076964,0.26938286,0.32253316,0.3898078,0.44572103,0.46767297,0.4494954,0.4064851,0.3585036,0.31903613,0.29013225,0.26990333,0.25589144,0.24626434,0.23882598,0.23143233,0.22332798,0.21509337,0.20802355,0.20342691,0.20138371,0.20122905,0.20043238,0.19754551,0.19196028,0.18612887,0.18213958,0.18145692,0.18283212,0.18525708,0.18912625,0.19768928,0.2129345,0.23197441,0.24594839,0.24641353,0.23208167,0.21044256,0.1924882,0.18622427,0.19334896,0.20994256,0.22876586,0.24413665,0.25394657,0.26136217,0.2705771,0.285638,0.30610526,0.32846758,0.345059,0.34994307,0.34022835,0.31968114,0.2949129,0.2736585,0.26039198,0.25545597,0.25606516,0.26013508,0.2711103,0.29582894,0.3361343,0.3797474,0.40428042,0.39439842,0.35465193,0.30607212,0.26799628,0.2470681,0.23842807,0.23515981,0.23300576,0.23051374,0.22810136,0.22898401,0.23875959,0.26105857,0.2919611,0.31900546,0.3283529,0.31361923,0.2798982,0.2394389,0.20431869,0.18151738,0.17154771,0.1711573,0.17524336,0.18072559,0.1879142,0.20252644,0.23003523,0.2689441,0.3060429,0.32506052,0.31899858,0.2955199,0.26903957,0.24924606,0.23796077,0.23250353,0.2306211,0.23073298,0.23174505,0.23343956,0.23734383,0.2459805,0.25967428,0.2750435,0.28619197,0.2890906,0.28405502,0.2744228,0.2642294,0.25600746,0.25161886,0.25035736,0.25048232,0.2504127,0.25427017,0.2691766,0.29917538,0.3369991,0.3674806,0.37748477,0.36492762,0.33902168,0.31501478,0.3075137,0.32434747,0.36084703,0.40082872,0.42382327,0.41699305,0.3828489,0.3381525,0.30413267,0.29193625,0.29695144,0.30428782,0.30320907,0.29416105,0.28618848,0.28746727,0.3003218,0.32105348,0.3424329,0.35613012,0.35527328,0.34049153,0.32084963,0.30939314,0.3111073,0.31949726,0.32353687,0.31887105,0.31086543,0.3068185,0.30953917,0.31531355,0.31870213,0.31506515,0.3026431,0.2820536,0.257524,0.23634483,0.22734952,0.23527408,0.25735238,0.28336895,0.30228582,0.30729377,0.29871985,0.2809982,0.26058713,0.24191128,0.22723716,0.21560723,0.20866634,0.2126895,0.2415355,0.3026295,0.39027908,0.47840452,0.542654,0.56985825,0.5686775,0.5510108,0.5277939,0.50145286,0.47483465,0.44907162,0.42622903,0.4057299,0.38730416,0.37037364,0.35570085,0.34392467,0.3356382,0.33061838,0.32813346,0.32631937,0.32312438,0.31711772,0.30866715,0.298869,0.2880704,0.27577293,0.26235288,0.25099722,0.24689263,0.25299367,0.26704636,0.2814608,0.28951573,0.28850767,0.28086343,0.26974368,0.25789744,0.2468191,0.23729521,0.22853386,0.21873695,0.20712852,0.19600193,0.19116206,0.19863431,0.2205354,0.25095037,0.27881002,0.29301482,0.2900274,0.27415368,0.25521573,0.24146885,0.23619278,0.23648618,0.23766436,0.23854083,0.24602942,0.27460992,0.33680096,0.43141565,0.5353095,0.61568546,0.6467114,0.6267014,0.5717477,0.5055144,0.44447088,0.39678347,0.363245,0.34239396,0.33191657,0.32912317,0.33026418,0.3309904,0.32779422,0.31922603,0.30612698,0.29074374,0.27553114,0.2621397,0.2509684,0.241381,0.23236544,0.22319193,0.21401466,0.20694804,0.20646931,0.21854359,0.24443185,0.27730706,0.3022946,0.30821097,0.29378125,0.26902413,0.24436752,0.22557093,0.2120621,0.201967,0.19372673,0.18682827,0.18081515,0.1757017,0.17221223,0.17189355,0.17550202,0.18204014,0.18846779,0.19232793,0.19295503,0.19177218,0.19006366,0.18822497,0.18573022,0.18198676,0.17753541,0.17514926,0.1812756,0.20163532,0.23639715,0.27461258,0.30112484,0.30463812,0.28607446,0.2549071,0.22296341,0.19850826,0.18441321,0.17950065,0.17955904,0.18050891,0.17920847,0.17477472,0.16708869,0.15677597,0.1444902,0.13162975,0.11983981,0.110580236,0.10418602,0.09973059,0.095784724,0.09117907,0.08573661,0.07974709,0.073774554,0.06846034,0.06536191,0.0675056,0.07819206,0.09868183,0.12536402,0.15107729,0.16839457,0.1745529,0.1719904,0.16617663,0.16151732,0.15912558,0.15718012,0.15261386,0.14372073,0.131111,0.117940016,0.10809096,0.10440729,0.106930666,0.11305767,0.11885459,0.12118298,0.1185616,0.11149845,0.10186342,0.092435785,0.08531345,0.08105803,0.079065,0.07959399,0.08481192,0.09639964,0.11226686,0.12518167,0.12751253,0.116608836,0.09713022,0.076958306,0.06166211,0.05222109,0.046411518,0.04206392,0.038086724,0.03454706,0.031673107,0.029901385,0.029886782,0.032361493,0.037550222,0.044611905,0.051948983,0.057814825,0.061042648,0.061014716,0.0575732,0.05104919,0.042560603,0.0338842,0.026840338,0.02289968,0.02334547,0.02944304,0.041309413,0.056787055,0.07146755,0.08139721,0.08504685,0.083785206,0.07974092,0.07455879,0.0688787,0.06299073,0.057125907,0.052106563,0.04972434,0.052803993,0.063287444,0.08047255,0.10001358,0.11649027,0.12593536,0.1276003,0.12282764,0.11413657,0.10426218,0.095689595,0.0894691,0.08516672,0.082269095,0.08195719,0.087605566,0.10122183,0.121178396,0.14058371,0.15288138,0.15482523,0.14914398,0.14015706,0.13152055,0.12418657,0.118047476,0.11272956,0.10846073,0.105603896,0.10442352,0.10459263,0.105349205,0.10565322,0.10458842,0.10164941,0.09692178,0.09102369,0.08492095,0.0795612,0.075647295,0.073275365,0.07207122,0.07142672,0.07140406,0.07313034,0.07878304,0.08957967,0.10421539,0.11818936,0.12665118,0.12700416,0.12026007,0.10938659,0.09742565,0.08664062,0.078429796,0.07361222,0.07218873,0.073669106,0.077464886,0.083326094,0.091018744,0.099264406,0.1054329,0.10640466,0.10091636,0.09041383,0.07837334,0.06788188,0.06040621,0.055695172,0.052792683,0.05141751,0.052825455,0.060216647,0.07563627,0.09744955,0.11845562,0.1312202,0.13210545,0.124167465,0.112471275,0.10125363,0.09191523,0.08484889,0.07976056,0.07613892,0.073311485,0.07094392,0.06889457,0.066806674,0.06423842,0.06105056,0.05762385,0.054346252,0.05144897,0.048983872,0.047081556,0.045693856,0.044635665,0.043686986,0.04289776,0.04235615,0.042131796,0.042317335,0.043395918,0.045630466,0.048619688,0.050905153,0.051351402,0.0497321,0.047124315,0.044608343,0.042912867,0.042031582,0.041690674,0.04130247,0.040309567,0.03836708,0.03569195,0.03287049,0.030588197,0.029212803,0.02871945,0.028747289,0.028838085,0.028644122,0.027997231,0.026913757,0.025473846,0.023864945,0.022216715,0.020875966,0.02048268,0.022472424,0.028021783,0.03712808,0.047370974,0.055656318,0.05989996,0.060695454,0.059812337,0.058848206,0.058014914,0.05687055,0.054855153,0.051880747,0.048247185,0.044517368,0.0412017,0.03851056,0.036404654,0.034740914,0.03349599,0.03265137,0.032145355,0.031801704,0.031489305,0.03113842,0.03071461,0.030098056,0.029124128,0.027676726,0.025807515,0.02379257,0.02217335,0.021722814,0.023070784,0.026162446,0.030000247,0.033194814,0.034931604,0.035336312,0.03503545,0.03433774,0.03312591,0.031184709,0.028601745,0.02575296,0.023064082,0.020866297,0.019273972,0.018267399,0.017732354,0.017621867,0.017916732,0.018556781,0.019295804,0.01978722,0.019775541,0.019280016,0.018534394,0.017744357,0.01707205,0.0167948,0.017603895,0.020130629,0.024328485,0.02882199,0.03174264,0.031766668,0.029216478,0.02543007,0.021918362,0.019336483,0.017649809,0.016457777,0.015489728,0.014658123,0.013991203,0.0135194175,0.0132481875,0.0131839765,0.013330952,0.013619338,0.013889845,0.013959807,0.013772636,0.013442911,0.013152622,0.012999686,0.012923688,0.012788394,0.012495798,0.012096312,0.011787337,0.011827837,0.012300085,0.01297523,0.013363618,0.01308822,0.012130831,0.01084048,0.009614494,0.008687455,0.008069874,0.0076757767,0.007387332,0.007131595,0.0068676206,0.006620022,0.006421795,0.006309107,0.006268073,0.006257426,0.006221932,0.0061452487,0.0060631,0.006040282,0.0061385627,0.0063597257,0.0066641164,0.0069584125,0.0072301407,0.0075649843,0.008187554,0.009171641,0.010321864,0.0111326175,0.011216761,0.010535561,0.009436182,0.008314711,0.0074060406,0.006755741,0.006315353,0.006020702,0.005799877,0.005595079,0.0053710844,0.0051221084,0.004866293,0.004626738,0.004416471,0.0042235577,0.0040259287,0.0038124158,0.0035958197,0.0033991737,0.003236683,0.0031070488,0.0030014447,0.0029106324,0.0028407043,0.0028155707,0.0028805926,0.0030324142,0.0031987198,0.0032307908,0.0030454902,0.0026644135,0.002225417,0.0018423052,0.0015707359,0.0013975588,0.0013056508,0.0012783137,0.0012952201,0.0013210996,0.0013236491,0.0012914836,0.0012383593,0.0011855712,0.0011466591,0.0011270096,0.0011247318,0.0011331023,0.0011295121,0.0010948799,0.0010211616,0.00092611305,0.0008293018,0.0007451862,0.000680648,0.00064880407,0.0006671853,0.0007344773,0.00081960275,0.0008672092,0.00084134843,0.0007428806,0.00061083207,0.0004842415,0.00038481737,0.00030962998,0.00024817596,0.00019243087,0.00014267588,0.00010302793,7.6463E-05,6.175638E-05,5.5038214E-05,5.2358024E-05,5.145684E-05,5.138795E-05,5.1850424E-05,5.2563464E-05,5.3295633E-05,5.3678992E-05,5.3046857E-05,5.0136263E-05,4.381375E-05,3.4039575E-05,2.267788E-05,1.2437772E-05,5.3767744E-06,1.6945586E-06,3.455482E-07,2.7662914E-08,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]