[0.013065796,0.022252968,0.04374041,0.07337522,0.10474652,0.13159694,0.15032268,0.16089703,0.1654781,0.16711487,0.1678984,0.16875577,0.16928613,0.16946478,0.1693917,0.1693282,0.16886993,0.16804095,0.16713357,0.16641878,0.16564886,0.16480403,0.1643325,0.16432077,0.16409767,0.16307773,0.16162167,0.16051452,0.15986727,0.15961216,0.1597541,0.16055453,0.16131788,0.1615182,0.16095562,0.16031171,0.15964937,0.15910305,0.15887053,0.15943468,0.16059297,0.1618449,0.16312194,0.16460778,0.1662757,0.16770886,0.16907777,0.17060602,0.17220628,0.173239,0.1737303,0.17406233,0.17437918,0.17417437,0.17326766,0.172076,0.17095254,0.16992082,0.1689191,0.16823392,0.16763484,0.16666465,0.16504423,0.163418,0.16223665,0.16141172,0.1604292,0.15909149,0.15727071,0.1548508,0.1521978,0.15022147,0.14976276,0.15064718,0.15237029,0.15439063,0.15661122,0.1586712,0.16072921,0.16319199,0.16660462,0.17068583,0.17491925,0.17894857,0.18262452,0.18547451,0.18693455,0.1868005,0.18522316,0.18239576,0.17888646,0.17568493,0.17365563,0.17241599,0.17113884,0.16938259,0.16770566,0.16629548,0.16506925,0.16388667,0.163033,0.16244154,0.16173941,0.1610781,0.1609836,0.16153675,0.16141784,0.15960877,0.15639497,0.1534558,0.15208536,0.15214467,0.15304549,0.15376991,0.15444463,0.15456174,0.15447827,0.15386973,0.15303572,0.15205832,0.15084107,0.1497032,0.1483233,0.14742233,0.14674316,0.14672817,0.14682864,0.14682539,0.14646721,0.14560258,0.14476432,0.14405943,0.14414056,0.14472994,0.1457212,0.14666998,0.14742231,0.14796765,0.14787795,0.14695217,0.14493074,0.14246757,0.14017384,0.13858207,0.13757591,0.1368665,0.13639574,0.13641244,0.13720284,0.13875842,0.14058895,0.14235672,0.1435939,0.14438796,0.14447773,0.14410259,0.14329112,0.14234568,0.14139587,0.14041477,0.13961168,0.13889877,0.13846861,0.13809836,0.13770472,0.13724966,0.13649184,0.1357205,0.13464242,0.13392968,0.13353227,0.13410085,0.13545693,0.13735199,0.1392989,0.14055015,0.14122678,0.14116794,0.14111502,0.14122076,0.14179409,0.14296354,0.14441808,0.14636266,0.14812608,0.1499906,0.15149622,0.15296878,0.15433997,0.1555677,0.1569354,0.1582089,0.15989321,0.16139469,0.16286969,0.1639076,0.16481334,0.16564566,0.16621248,0.16651888,0.16638632,0.1662908,0.1662011,0.16610678,0.16576898,0.16499917,0.16396272,0.1622151,0.15923168,0.15348794,0.14403981,0.13077761,0.11569338,0.101824194,0.09178173,0.08628425,0.084389575,0.0849204,0.08748718,0.09214258,0.09842271,0.10475413,0.10924808,0.110663794,0.10923019,0.106042385,0.10228626,0.09840714,0.094521224,0.09084803,0.08807343,0.086739846,0.08682559,0.08763441,0.08844137,0.088963896,0.089469165,0.09032031,0.09159744,0.09301881,0.0942407,0.09509703,0.09559595,0.09572288,0.09535596,0.094472356,0.09334183,0.092543714,0.09247792,0.093080185,0.0937304,0.09390229,0.09342546,0.0926804,0.09202995,0.09175659,0.09189543,0.09258962,0.093981445,0.09612999,0.09863543,0.10059684,0.10091996,0.098970644,0.09506906,0.09035722,0.08621812,0.08362702,0.08295855,0.08404783,0.086449794,0.08954304,0.09270799,0.09533545,0.09703515,0.09763191,0.09735631,0.09658551,0.095753916,0.09491094,0.093838505,0.092151366,0.08985733,0.087469965,0.08584783,0.08558717,0.086600564,0.08821941,0.089678645,0.090712845,0.091615416,0.09298712,0.095108844,0.09775752,0.10036627,0.10275938,0.10536655,0.10879943,0.11269096,0.115440816,0.11507147,0.11103905,0.104728945,0.09860558,0.09424403,0.09168238,0.0898843,0.08819581,0.086761706,0.08623484,0.086826056,0.08829847,0.09032317,0.093287446,0.09780014,0.104254894,0.11177849,0.119034685,0.12456232,0.128083,0.12992041,0.13096502,0.13161612,0.13201624,0.13199878,0.13170345,0.13141578,0.13139226,0.13147312,0.13136062,0.13101755,0.13088673,0.13146794,0.13290857,0.13496098,0.13726594,0.13934763,0.14047676,0.13985044,0.13733411,0.13378763,0.13060506,0.12858678,0.12767416,0.12731518,0.12729746,0.12761001,0.12825781,0.12890323,0.1293223,0.12940301,0.12933992,0.12923251,0.12928294,0.12949707,0.1298738,0.13016528,0.13035037,0.13053882,0.13102885,0.1317011,0.1321873,0.13209309,0.13153563,0.13085617,0.1302694,0.12968874,0.1290298,0.1283998,0.12783515,0.1272348,0.12652534,0.1261326,0.12654366,0.12776786,0.1289412,0.12920856,0.12843834,0.12735124,0.12659924,0.12624668,0.12597649,0.1256883,0.12557606,0.12572093,0.12595046,0.12615992,0.12666851,0.12794872,0.13003443,0.1323051,0.13393256,0.13459218,0.13460428,0.13455649,0.1347254,0.13498032,0.13507771,0.13490449,0.1344961,0.13377945,0.13272113,0.13149291,0.13061582,0.13043834,0.13076736,0.13096172,0.13077565,0.130711,0.13160618,0.13365878,0.13629796,0.13874047,0.14059474,0.14165902,0.14158298,0.14019984,0.13815421,0.13695073,0.13789825,0.141346,0.1465836,0.1523925,0.15743683,0.16074757,0.16245015,0.16341107,0.16455261,0.16575402,0.16683733,0.1676612,0.1685512,0.1692016,0.16954274,0.16946958,0.169237,0.16860288,0.16762291,0.16649395,0.16546763,0.16431762,0.16291136,0.16160919,0.16070494,0.16004722,0.15914755,0.1579742,0.1564828,0.15462275,0.15245944,0.15070198,0.14996259,0.15015303,0.15090948,0.15214805,0.15422045,0.15694678,0.16002356,0.16295178,0.16557087,0.16751815,0.16888286,0.16999249,0.17117846,0.17225093,0.17298464,0.17361583,0.17429228,0.1747718,0.17454374,0.17376547,0.17276555,0.17168343,0.17041801,0.16910355,0.16792713,0.1665644,0.16486704,0.16299717,0.1616189,0.16059925,0.15986465,0.15927486,0.15915404,0.15921615,0.15934813,0.15968245,0.16049664,0.16145028,0.16196638,0.16204445,0.16201955,0.16214842,0.16252942,0.1636521,0.16579409,0.16845149,0.17077553,0.17248859,0.17402889,0.17547907,0.17667098,0.1773506,0.17762773,0.17732589,0.1764353,0.17525004,0.17435266,0.17380947,0.1733649,0.17287125,0.1723554,0.17169757,0.1706648,0.16942437,0.16809551,0.16655917,0.16447586,0.16214274,0.16008474,0.15855108,0.15733404,0.15628703,0.15525353,0.15355156,0.15041625,0.14577945,0.14087833,0.13703088,0.13501473,0.13458078,0.13526343,0.13656771,0.13800277,0.13929015,0.14001912,0.14032264,0.14017175,0.13998292,0.13998258,0.14040422,0.14137506,0.1425569,0.14377092,0.14440267,0.1443824,0.14376761,0.14300887,0.1427688,0.14302461,0.14395359,0.14486371,0.14577383,0.14635415,0.14671488,0.14708234,0.14725672,0.14764406,0.14763752,0.14774536,0.14760533,0.14772712,0.14790924,0.14788528,0.14755486,0.14659917,0.1457014,0.14486675,0.1445166,0.14440458,0.14432387,0.14441295,0.14450671,0.14535034,0.14690557,0.14961897,0.15288532,0.15613496,0.15887892,0.16077785,0.16221218,0.16297217,0.1634065,0.1633447,0.16306764,0.16251029,0.16144638,0.15977018,0.15735261,0.15464301,0.15188293,0.1493491,0.14701463,0.14468487,0.14234881,0.13985772,0.13734685,0.134844,0.13249959,0.13069718,0.12951402,0.12931387,0.12964469,0.130518,0.13138364,0.13232474,0.13327949,0.13445897,0.13610081,0.13807128,0.14032227,0.14242129,0.14436764,0.14619346,0.14809652,0.150441,0.15322362,0.15656509,0.15980305,0.16247465,0.16406913,0.16460781,0.16447715,0.16363509,0.16230018,0.15977548,0.15583779,0.14906432,0.1389857,0.12550163,0.11104235,0.09836214,0.08989345,0.085585624,0.08415521,0.083867796,0.083906144,0.08415184,0.084899865,0.08629841,0.08803887,0.08943086,0.08978876,0.08900073,0.08757136,0.08631464,0.085855074,0.08640339,0.08782167,0.089728735,0.0917689,0.093649425,0.09529125,0.09660847,0.09752104,0.09779959,0.097308286,0.095974594,0.09401369,0.09169128,0.089361586,0.087192304,0.08535289,0.08402607,0.083537884,0.08412758,0.0857488,0.08802392,0.090498365,0.09294807,0.0954856,0.09831944,0.10146595,0.10454807,0.107095994,0.10890009,0.1103419,0.111996286,0.114058316,0.1157674,0.115823686,0.113157965,0.10799903,0.101691544,0.09613079,0.092321105,0.09025473,0.08898372,0.087873645,0.08677504,0.08618719,0.08644706,0.08757011,0.08912226,0.090660624,0.091911264,0.09279353,0.09325713,0.09328395,0.09307467,0.09309176,0.09376087,0.095021896,0.09632296,0.09700635,0.0968383,0.0959734,0.09479014,0.093588986,0.09266596,0.092207015,0.0923144,0.092839934,0.093565665,0.09422643,0.09475484,0.095129155,0.095334865,0.0951717,0.09441198,0.093072176,0.091554664,0.09054527,0.09045745,0.09126595,0.09246821,0.093657576,0.09468677,0.095713586,0.09696353,0.09875632,0.101716906,0.10652692,0.113311775,0.12098997,0.12773106,0.13216011,0.13428141,0.13517563,0.13584359,0.13642894,0.13639563,0.1352316,0.13292013,0.12981863,0.12644297,0.1233433,0.12112206,0.120143645,0.12024345,0.12068534,0.12077861,0.120342605,0.119807035,0.11948647,0.11932724,0.118972905,0.11854708,0.11852619,0.119463146,0.12123624,0.12347584,0.12573284,0.12795158,0.1298844,0.13126367,0.13176887,0.13167144,0.13149178,0.13178332,0.13254695,0.13346587,0.13405459,0.13414009,0.13380252,0.13339354,0.13311401,0.13300307,0.13284297,0.13254745,0.13214932,0.1318,0.13143043,0.13088101,0.13018276,0.12980212,0.13026737,0.1316349,0.13339464,0.13506146,0.13659637,0.13822477,0.13977535,0.14066172,0.14041454,0.13925868,0.13780773,0.13642342,0.13499467,0.13347282,0.13232979,0.13228653,0.13357252,0.13563882,0.13764858,0.13918208,0.14047474,0.1418869,0.1434736,0.14477299,0.14554875,0.14594078,0.14653595,0.1473916,0.14823999,0.14871605,0.149401,0.15121655,0.15498711,0.16029753,0.16576238,0.16926676,0.16962737,0.16770525,0.16665287,0.16910774,0.17571332,0.1853249,0.19806455,0.21445231,0.23436916,0.25676045,0.2825098,0.3119844,0.3422493,0.36567536,0.37843537,0.38099018,0.37717304,0.36640587,0.34961334,0.33011678,0.31620395,0.31253505,0.32011256,0.33384487,0.346946,0.3517038,0.34453043,0.3281223,0.30918908,0.29453468,0.28581023,0.28166115,0.27915904,0.2774124,0.2770104,0.27818218,0.28031895,0.28164676,0.2821695,0.2824701,0.28323862,0.28379282,0.28296182,0.28074113,0.27763286,0.2747129,0.27242482,0.27124113,0.2714251,0.27275205,0.27478996,0.27697876,0.27899763,0.28080085,0.2822897,0.2837704,0.28498733,0.28552964,0.28482106,0.282899,0.28049433,0.27796885,0.27582332,0.27430567,0.27407405,0.27488485,0.27574268,0.27581832,0.27512166,0.27445817,0.2740614,0.27392405,0.27392575,0.27387384,0.27310076,0.27081856,0.26703495,0.26263627,0.25855365,0.2555126,0.2537514,0.2530545,0.2527398,0.25210738,0.2518704,0.25180885,0.2506141,0.24414359,0.23111868,0.21352299,0.19738992,0.18712659,0.18486996,0.1902985,0.20381083,0.22729377,0.26516536,0.3186972,0.3817025,0.43782082,0.47230127,0.47937348,0.46483853,0.43518695,0.39632705,0.35362124,0.3158567,0.2883697,0.27160498,0.26122192,0.25395557,0.24845375,0.24464254,0.24315344,0.2431549,0.24306531,0.23977284,0.2340617,0.22866203,0.22709353,0.22793603,0.22823404,0.22638154,0.22357619,0.2219652,0.22099985,0.22056602,0.21918376,0.21804667,0.21664757,0.21626775,0.21638197,0.21728003,0.21771932,0.21666063,0.21396482,0.2100975,0.20715766,0.20485157,0.20376603,0.20161319,0.19929408,0.19561212,0.19288503,0.19058192,0.19046009,0.19097894,0.19172175,0.19068694,0.18745975,0.18219334,0.17570227,0.1694187,0.16435702,0.16118276,0.15909447,0.15654476,0.15298872,0.14913769,0.14684387,0.14648376,0.14731862,0.14809848,0.14843202,0.14887805,0.14966066,0.15097971,0.1525613,0.15451492,0.15665579,0.15858464,0.16018593,0.16159703,0.16353564,0.16622543,0.16972984,0.17378457,0.17793204,0.18194391,0.18537122,0.1881816,0.18951972,0.18859117,0.1849097,0.17919548,0.17321491,0.1681666,0.16493982,0.16308923,0.16246384,0.16267462,0.16381148,0.16609748,0.16927563,0.17296942,0.17575343,0.17640613,0.17414767,0.16946746,0.1644386,0.16059487,0.15971553,0.16135418,0.16605447,0.1737047,0.18602937,0.20281301,0.22210193,0.2391681,0.25076765,0.25618827,0.25738904,0.2558403,0.2525271,0.24823177,0.24432987,0.24153753,0.2393753,0.2368533,0.23382086,0.23147555,0.23134376,0.2334068,0.23522753,0.23309267,0.22498624,0.21268584,0.20099364,0.19503276,0.19729908,0.20719868,0.22178912,0.23731713,0.25013605,0.25744668,0.25844705,0.25463364,0.24908645,0.2439853,0.23937921,0.23366928,0.2260565,0.21722944,0.20881449,0.20129304,0.1945591,0.18863405,0.18515082,0.18552102,0.18956085,0.19472964,0.19867612,0.20115489,0.20382781,0.20773697,0.2118678,0.21442236,0.21503113,0.21528941,0.2171191,0.22104268,0.22601414,0.23057842,0.2340111,0.23656839,0.23883004,0.24099551,0.24256198,0.24287988,0.24142718,0.23807365,0.23245461,0.22427343,0.21349585,0.20140886,0.19016285,0.18215795,0.17832553,0.17836724,0.1809312,0.18497093,0.18889052,0.19065352,0.18830197,0.18205898,0.17505805,0.1710406,0.17405097,0.18712394,0.21492882,0.25759873,0.3118693,0.3661517,0.4081191,0.42251757,0.40268865,0.3542931,0.2998153,0.26319912,0.25477093,0.26386496,0.27000746,0.2574053,0.22653359,0.18981314,0.16300152,0.15215987,0.154269,0.1622717,0.17262535,0.18451361,0.19637929,0.20539695,0.20999241,0.21235795,0.21642148,0.22447269,0.23510683,0.244199,0.2481379,0.24636544,0.24195679,0.23867245,0.23705111,0.23404224,0.22568919,0.21210618,0.19629633,0.18249017,0.17214888,0.16561647,0.16225167,0.16170931,0.163306,0.16629617,0.17007935,0.17381556,0.1764047,0.17689228,0.1749747,0.17131458,0.16675632,0.1623667,0.1590057,0.1574381,0.15834737,0.16230708,0.16975085,0.17940195,0.18852508,0.19369353,0.19419293,0.19240044,0.19320135,0.19977152,0.21148217,0.22281869,0.22789477,0.22422457,0.21529776,0.20637362,0.20108314,0.19898976,0.19829994,0.19743733,0.19649607,0.19598539,0.19631605,0.1970862,0.19791633,0.19862711,0.19910027,0.19886005,0.1976027,0.19640286,0.19685598,0.19931822,0.20130737,0.1998444,0.19418316,0.18691272,0.18155195,0.18027167,0.18318015,0.18871109,0.19421743,0.19726823,0.19717693,0.19565444,0.19430941,0.19359165,0.1924748,0.19108896,0.18985249,0.18865775,0.18641406,0.18315358,0.18088847,0.18111849,0.18271224,0.18268812,0.18009321,0.17729418,0.1771543,0.17952232,0.18157567,0.18135744,0.1797692,0.17824514,0.17649262,0.1729449,0.1680064,0.16445708,0.16478844,0.16877376,0.17350565,0.17661919,0.17731048,0.17694025,0.17662974,0.17692322,0.17721385,0.17728293,0.17754515,0.1789946,0.18183248,0.18566178,0.18951438,0.1933964,0.19748054,0.20275342,0.20999658,0.22023927,0.23362416,0.24918194,0.26515737,0.2799224,0.2921836,0.3008712,0.30451682,0.30263004,0.29537702,0.28473532,0.2729796,0.26259097,0.25473586,0.24932617,0.24580961,0.24398856,0.2439053,0.2445928,0.24442114,0.24239403,0.23911567,0.23569988,0.23233353,0.22860046,0.22353314,0.21671318,0.20726973,0.19633044,0.18585324,0.17870975,0.17534502,0.17506911,0.17675632,0.18064289,0.18713695,0.19609348,0.20619358,0.21552153,0.22283177,0.22823341,0.23328899,0.23877788,0.2442532,0.24805625,0.2496186,0.24938749,0.2486306,0.24818937,0.24857663,0.24940975,0.24968898,0.24812762,0.24455307,0.23983358,0.23498034,0.2304014,0.22622027,0.22320513,0.22196497,0.22238111,0.22334103,0.22384405,0.22336821,0.2221043,0.2208159,0.22093289,0.22324802,0.22729664,0.23127949,0.2333463,0.23236413,0.22778149,0.22025402,0.21139248,0.20355684,0.1986283,0.19800787,0.20323604,0.21455939,0.22921778,0.24090773,0.24420486,0.23887537,0.2306379,0.22664225,0.2302459,0.23880215,0.2466547,0.2493395,0.24720035,0.24259502,0.23777862,0.23238724,0.22690105,0.22240186,0.2201332,0.21922885,0.21821637,0.21701516,0.2159461,0.21465093,0.21137668,0.2060523,0.20051551,0.19650632,0.19419675,0.19163595,0.18845282,0.18412633,0.17995565,0.17578782,0.17273693,0.17048854,0.16892017,0.16695444,0.16453023,0.16233855,0.16129835,0.16147487,0.16234292,0.1632455,0.16407853,0.16423674,0.1632383,0.16069178,0.1573038,0.15432918,0.15256041,0.15246604,0.15328395,0.15487505,0.15659034,0.15889847,0.161521,0.1645338,0.16766281,0.17089105,0.17383182,0.17550354,0.1752856,0.1736931,0.17213756,0.17192031,0.1728683,0.17463714,0.17636655,0.17814338,0.17960964,0.18108626,0.18260922,0.18420644,0.1854341,0.18557803,0.18462901,0.18269996,0.18066804,0.178825,0.17753083,0.1763147,0.17453313,0.17177595,0.16812555,0.16432078,0.16067988,0.15729631,0.15409683,0.15106875,0.14861073,0.14663379,0.14544772,0.1447419,0.14447188,0.14432818,0.144352,0.144938,0.14595854,0.14721341,0.14790861,0.14805454,0.14762074,0.14671521,0.14531057,0.14363678,0.14268667,0.14319871,0.14548184,0.14874183,0.1522124,0.15610224,0.16163026,0.17020328,0.18118769,0.19219017,0.1998641,0.2025571,0.2008158,0.19664109,0.19196574,0.18743022,0.18327057,0.17983834,0.17819582,0.17909314,0.18115713,0.1823333,0.1806295,0.17841358,0.17848437,0.18329965,0.19142906,0.20320903,0.22116645,0.24758165,0.27812383,0.30252215,0.31289506,0.30938366,0.2997992,0.29107365,0.28624365,0.28317192,0.27962837,0.273579,0.2649712,0.2540377,0.24218303,0.23128276,0.22314237,0.21863484,0.21715616,0.21768497,0.21896516,0.22009455,0.21992475,0.21762611,0.21312994,0.2078905,0.20396076,0.20275216,0.20371838,0.20517004,0.20515473,0.20255202,0.19704731,0.18940286,0.1812166,0.1741966,0.16928495,0.16652395,0.16560835,0.16632725,0.16851492,0.17200725,0.176862,0.1836134,0.19331734,0.20680486,0.22345866,0.24008887,0.25185534,0.2548293,0.24845265,0.23529035,0.21917965,0.2037247,0.19181363,0.1852505,0.183752,0.18554194,0.18869452,0.19257812,0.19693299,0.20081057,0.20277733,0.20232858,0.20048653,0.19814877,0.1946979,0.18790011,0.1764574,0.16168256,0.14948249,0.14948547,0.17529742,0.23698814,0.3328178,0.43783855,0.5125389,0.5237652,0.4710449,0.38558295,0.3063559,0.253076,0.22228496,0.20294803,0.19002706,0.18517257,0.18963788,0.20055318,0.21269876,0.22153747,0.22589904,0.22747721,0.22973959,0.23446722,0.24067833,0.2453127,0.2462865,0.24441348,0.24219461,0.24210666,0.24483865,0.2497087,0.25381842,0.2531956,0.2446732,0.22942974,0.21243703,0.20010762,0.19687252,0.20459943,0.22187857,0.24372292,0.26256242,0.2719449,0.2699218,0.2595916,0.24584347,0.2335576,0.22550666,0.22290014,0.22316603,0.22260599,0.21843767,0.21236886,0.20707768,0.20381288,0.20097315,0.19781314,0.19460458,0.19220202,0.19080244,0.19123377,0.19416513,0.19818796,0.2000072,0.19757098,0.19238444,0.18740796,0.18371479,0.18022756,0.17585337,0.17116578,0.16725753,0.1646695,0.16305418,0.16179535,0.16032487,0.15809691,0.15521741,0.15229867,0.15022445,0.1488333,0.14718556,0.14441781,0.14105299,0.13874175,0.13920741,0.14333142,0.15111569,0.16175,0.17305423,0.18167178,0.18451802,0.18154491,0.1754324,0.16951519,0.165179,0.16257429,0.16203886,0.1638884,0.16767807,0.17156674,0.17397718,0.17389242,0.1717806,0.16910505,0.16796166,0.16911994,0.17131811,0.17235482,0.171654,0.1707051,0.17120558,0.17275792,0.17336638,0.17108972,0.16585894,0.1587754,0.15216099,0.14779185,0.14711303,0.14998935,0.15646575,0.16600114,0.17781937,0.19048674,0.2034611,0.2174843,0.23289047,0.2504414,0.27214953,0.30125624,0.33748224,0.37521493,0.4083185,0.4332672,0.4489211,0.451787,0.44062865,0.41944814,0.39816332,0.3834854,0.37706947,0.37573054,0.3764082,0.37600672,0.37223423,0.3650007,0.354156,0.33968726,0.32015657,0.29828072,0.27976015,0.26991338,0.2691294,0.27217057,0.27422878,0.2722861,0.26817667,0.26453373,0.26417407,0.26708603,0.271469,0.27564585,0.27906403,0.28208044,0.28401706,0.28406763,0.28203523,0.27855304,0.2741703,0.26914218,0.26454872,0.26171243,0.26123074,0.2623708,0.2644067,0.26747993,0.27176788,0.27686596,0.28176984,0.28588855,0.28873888,0.29004812,0.28991187,0.2890108,0.28782246,0.28594056,0.28283772,0.27902147,0.27594852,0.27485797,0.2754409,0.27641913,0.27604952,0.2735136,0.26931998,0.26530635,0.26347125,0.2643784,0.2675945,0.27271762,0.28099558,0.2932742,0.30875337,0.3227809,0.33052668,0.3277167,0.31470323,0.29384565,0.2707462,0.25022516,0.23644574,0.23061532,0.23367612,0.24790983,0.27803785,0.32567486,0.38329384,0.43390307,0.46178794,0.46336338,0.44697884,0.42324534,0.39686385,0.36969447,0.34296688,0.3201745,0.30113497,0.2856867,0.27187702,0.2616047,0.25601003,0.25612953,0.25914285,0.26169527,0.26137114,0.26021853,0.261404,0.26795018,0.27784255,0.28815985,0.29514116,0.29796636,0.296574,0.29114923,0.2829145,0.27242216,0.26240775,0.25378224,0.24880286,0.24693625,0.24745856,0.24864201,0.24906915,0.24947542,0.24918278,0.24972014,0.24907637,0.2488092,0.24746226,0.24733424,0.2465692,0.24605095,0.24372612,0.24122454,0.23778994,0.23497914,0.23216806,0.23127955,0.23203157,0.23418136,0.23459494,0.23183244,0.22557616,0.21763797,0.20966963,0.20248574,0.1969338,0.19272242,0.19000806,0.18746465,0.18465726,0.18096529,0.17655788,0.17199369,0.16769676,0.16478698,0.1631669,0.16226244,0.16030042,0.15617003,0.15044606,0.1443861,0.13982715,0.13711663,0.13631622,0.13676293,0.13792388,0.14000076,0.14267887,0.14573666,0.14752644,0.14742436,0.14552398,0.14293383,0.14084254,0.1394064,0.13917612,0.13986476,0.14210908,0.14535804,0.1492054,0.15250403,0.15483965,0.1563739,0.15744846,0.15827148,0.15854031,0.15820797,0.15727317,0.15611012,0.15548526,0.1567687,0.16204558,0.17266755,0.18849276,0.20637365,0.22243138,0.2335133,0.23975556,0.24262019,0.24375446,0.24321033,0.24087723,0.23684895,0.23212443,0.22769366,0.2249557,0.22552939,0.2317208,0.24446376,0.26186106,0.27875796,0.29026473,0.29456005,0.29268202,0.28604326,0.27597046,0.2651521,0.2570665,0.25292325,0.25012043,0.2453016,0.237723,0.2299181,0.22413062,0.2208653,0.21866105,0.21693392,0.2159021,0.21671236,0.21906595,0.22188932,0.22356713,0.22415227,0.22451138,0.22568022,0.22716184,0.22816826,0.2283016,0.228673,0.23033392,0.23381484,0.2383076,0.24274205,0.24591744,0.24738874,0.24725766,0.24653262,0.24587697,0.2454948,0.24458028,0.24268176,0.23980592,0.23683435,0.23463114,0.23375899,0.23389071,0.23388112,0.23234184,0.22842447,0.22253525,0.21583234,0.20979846,0.20529442,0.20261933,0.2013972,0.20121847,0.20176397,0.2030346,0.20454858,0.20493074,0.20240027,0.19652312,0.18964298,0.18512559,0.18684459,0.19756907,0.22156484,0.25951898,0.30863512,0.35853317,0.39766636,0.4132531,0.39856312,0.35712543,0.30607402,0.26774916,0.2548363,0.26219308,0.27160704,0.26541454,0.23956843,0.20376831,0.17399831,0.15851337,0.15645923,0.16287313,0.17689055,0.19952182,0.22845423,0.25617015,0.27551752,0.28336036,0.28121468,0.27177718,0.2594705,0.24899286,0.24434684,0.24552631,0.2493943,0.25239712,0.2529706,0.2519644,0.25054935,0.24934345,0.24695893,0.24155581,0.23218441,0.2207696,0.21027942,0.20272754,0.19770789,0.19437619,0.19216663,0.19129944,0.19133246,0.19211338,0.19313675,0.19419281,0.19437087,0.19378965,0.19389428,0.1974705,0.20593126,0.21836442,0.23190503,0.24458449,0.25545862,0.26451707,0.2701236,0.27018315,0.26252076,0.24838443,0.23235685,0.22114772,0.21859859,0.22320841,0.22970742,0.23334505,0.23274334,0.22855558,0.22217591,0.21486002,0.20851235,0.20465373,0.20355232,0.20418374,0.2049884,0.20532085,0.20497173,0.20441496,0.2036035,0.20271027,0.20263772,0.20514674,0.2108875,0.217705,0.22174102,0.22156985,0.21896978,0.21754913,0.2175554,0.21742012,0.21505272,0.21235752,0.21185727,0.21470545,0.21770422,0.21751289,0.21335995,0.20805025,0.20476758,0.20484805,0.20883818,0.21634082,0.22667654,0.2360145,0.24097739,0.23972951,0.23595469,0.23387699,0.23555602,0.23736112,0.23497514,0.22689207,0.21608609,0.20547903,0.19619332,0.18786077,0.18201531,0.18079472,0.1851878,0.19276266,0.19934852,0.20176508,0.19978058,0.19654079,0.19516176,0.19662923,0.19860576,0.19881381,0.19709176,0.19503261,0.1941948,0.19461022,0.19680904,0.20138143,0.209616,0.22089969,0.2338568,0.24595827,0.2566031,0.26678792,0.27988863,0.29724517,0.31721866,0.33408022,0.34307984,0.3424822,0.3349948,0.32426015,0.3130374,0.30172595,0.29026937,0.27981445,0.27340162,0.27395535,0.28086618,0.29053447,0.2982137,0.30190483,0.30089948,0.29595718,0.28794348,0.2795179,0.27227995,0.2667173,0.26092735,0.25472686,0.2485128,0.24404137,0.24108826,0.23961903,0.2388981,0.23946114,0.24148299,0.24570782,0.25179365,0.25793985,0.2613889,0.26068795,0.2582368,0.25780013,0.26179823,0.26810774,0.2727116,0.27235618,0.26737645,0.2603315,0.25411746,0.24992634,0.24798588,0.24804038,0.24958849,0.25132218,0.25138363,0.24896865,0.24420369,0.23848008,0.23287898,0.22900222,0.22767167,0.22886787,0.23041515,0.23021908,0.22746558,0.22439493,0.22310959,0.2247534,0.22773992,0.23076786,0.23264353,0.23322731,0.23189466,0.22839928,0.22294287,0.21720411,0.21384698,0.2161752,0.22559573,0.23991837,0.25276938,0.25761712,0.2524806,0.24237013,0.23592854,0.2391901,0.25183475,0.26795304,0.28097522,0.28668523,0.2840654,0.27432123,0.26026878,0.24700858,0.23870826,0.23739101,0.24056631,0.24541561,0.25012842,0.25563255,0.26470527,0.27993846,0.3014818,0.3233427,0.3368503,0.33592936,0.32219076,0.30280462,0.2840586,0.26872262,0.255503,0.2434047,0.23194563,0.22163367,0.21215427,0.20272116,0.1930585,0.18398456,0.17679405,0.17199267,0.16892631,0.16624029,0.16295381,0.15859117,0.15413694,0.15074272,0.1498401,0.1511132,0.15338962,0.15500116,0.1550984,0.15440503,0.15400149,0.15543838,0.15895689,0.16451126,0.17111689,0.17716776,0.18118604,0.18206595,0.18112852,0.17981625,0.17971776,0.18015516,0.18012197,0.17855877,0.1756621,0.1723267,0.17004274,0.16952412,0.17079322,0.17219205,0.17278238,0.17196323,0.17095648,0.17079537,0.17218769,0.1750872,0.17859882,0.18218112,0.18473084,0.18603219,0.18555577,0.18344678,0.18005376,0.17592461,0.17203332,0.16846867,0.16572078,0.1634097,0.16195405,0.1610402,0.1607338,0.16128129,0.16362673,0.16880365,0.17606324,0.18346159,0.18817241,0.18938613,0.18727477,0.18351443,0.17864402,0.17346437,0.16767669,0.1621866,0.15771805,0.15603252,0.15791129,0.16360825,0.17205207,0.18196116,0.19179213,0.20028694,0.20596816,0.20810612,0.20657538,0.20274979,0.19781305,0.19282311,0.18819033,0.18498611,0.18470263,0.18733637,0.19162165,0.19509673,0.19857623,0.20333524,0.21086718,0.2192579,0.22826798,0.24000429,0.2570168,0.2766703,0.29052404,0.29232475,0.2820339,0.26696616,0.25277618,0.24253182,0.23469903,0.22869015,0.22353794,0.21940751,0.21541321,0.21081978,0.2049694,0.19799046,0.19084232,0.1846661,0.18064357,0.17926078,0.18078285,0.18498038,0.19156855,0.19963925,0.20769022,0.21363752,0.21606378,0.21476401,0.21115057,0.20683195,0.20374094,0.20309949,0.20589119,0.21125759,0.21730597,0.22208416,0.22566797,0.22972679,0.23545098,0.24203096,0.24754877,0.25128987,0.25408784,0.25651535,0.2572868,0.25469464,0.24890469,0.24244432,0.2376352,0.23447585,0.23106761,0.22569025,0.21874104,0.21186058,0.20689327,0.2041909,0.20333113,0.20351191,0.20434357,0.20526691,0.20558923,0.20453918,0.20286576,0.20228772,0.20495407,0.20947255,0.21179205,0.20656711,0.19327815,0.17708568,0.1696421,0.18517971,0.23690589,0.32485816,0.42918715,0.50944287,0.5315788,0.48757276,0.40685105,0.3269857,0.27271464,0.24239032,0.22569947,0.21480595,0.20959224,0.21130763,0.21932985,0.2314217,0.24499054,0.25762248,0.26668105,0.27049765,0.26953334,0.2670662,0.26684394,0.2723416,0.28497052,0.30542222,0.33036494,0.35458335,0.3706924,0.3753328,0.3676068,0.3503392,0.32676765,0.30205408,0.28178537,0.27092883,0.27145875,0.2812958,0.29514155,0.3066467,0.3115876,0.30871004,0.29944274,0.2855341,0.27027738,0.2571972,0.25021008,0.24895246,0.25052088,0.2505506,0.24775209,0.24219646,0.23532058,0.22834487,0.22303313,0.21964659,0.21749212,0.21582395,0.21534204,0.2159372,0.21605067,0.21423839,0.21156251,0.21008502,0.20986694,0.20949279,0.20792447,0.2057557,0.20277363,0.19822447,0.19196987,0.18566523,0.18145828,0.17983061,0.18012321,0.18036084,0.17947298,0.17731035,0.1763043,0.17906398,0.18626551,0.19539201,0.20330018,0.20925234,0.21436913,0.21896173,0.22064401,0.21667005,0.20723878,0.19579196,0.18624963,0.17982869,0.17585774,0.17360324,0.17312525,0.17398143,0.17465524,0.17382704,0.17127903,0.16785139,0.16500999,0.16438037,0.16730274,0.17262138,0.17730658,0.17799039,0.17497085,0.17135991,0.1705364,0.17249568,0.1749757,0.17638944,0.17701082,0.17722762,0.17589553,0.1722656,0.16818441,0.16733766,0.17177777,0.17977397,0.18692361,0.1890719,0.18455607,0.17583156,0.16804385,0.16632365,0.17169082,0.18099447,0.1899414,0.19790576,0.20931484,0.23020892,0.2622131,0.29849336,0.3270065,0.33713055,0.32795808,0.30714485,0.2866113,0.27214524,0.26256278,0.25219297,0.2394383,0.22721817,0.21951096,0.21622646,0.21424817,0.21106656,0.20661096,0.20148568,0.19544667,0.18821603,0.18100564,0.17603081,0.17439586,0.17540242,0.17839278,0.18424766,0.19445956,0.20738024,0.21842529,0.22268121,0.21974552,0.21248285,0.20454152,0.19747694,0.19184832,0.18809344,0.18641716,0.18665151,0.18841732,0.19167274,0.19592337,0.20012097,0.20354523,0.2060801,0.20785291,0.20806246,0.20631637,0.20316003,0.20001559,0.19765021,0.19643353,0.19718611,0.20064907,0.20590924,0.21028034,0.21138002,0.20896743,0.20410372,0.19871657,0.19451244,0.19320844,0.19403374,0.19519746,0.19493942,0.19432558,0.19447295,0.19595481,0.19797526,0.20051427,0.20344663,0.20627631,0.20836353,0.20956011,0.21076582,0.21252711,0.21565914,0.21979167,0.22422032,0.22796203,0.2312995,0.23559284,0.24076347,0.24513637,0.2453295,0.23991527,0.2292464,0.21623099,0.20494385,0.19869418,0.19900914,0.20318371,0.20865399,0.21224906,0.21393318,0.21272196,0.20973621,0.20609923,0.20383151,0.20261241,0.20058167,0.19666217,0.19224411,0.19082314,0.19398208,0.20094363,0.20716429,0.20885958,0.2031316,0.19211401,0.1795003,0.17064768,0.16749997,0.16979952,0.1744488,0.17890394,0.18127246,0.18145059,0.17999347,0.17872934,0.17904527,0.18189704,0.18568687,0.18859856,0.18875968,0.18691182,0.18425389,0.18221523,0.18094228,0.18060446,0.1818857,0.18548131,0.19110034,0.19665594,0.20013644,0.2007342,0.19967784,0.19818574,0.19662748,0.19464271,0.19239074,0.19151153,0.19273688,0.19643705,0.19999003,0.20268488,0.20301163,0.20326918,0.20369636,0.20605534,0.20866364,0.21117266,0.21181701,0.21114165,0.20939676,0.2079922,0.2077351,0.20918314,0.21208675,0.21519314,0.21717994,0.21705215,0.2149464,0.21198185,0.20903678,0.20740801,0.20677929,0.2076296,0.20879291,0.21123706,0.21519506,0.22269647,0.23258086,0.24302982,0.24939878,0.25003713,0.24371988,0.23276466,0.2180111,0.20244364,0.18788522,0.17782772,0.17350747,0.1747403,0.17887609,0.18214677,0.18113367,0.17322189,0.15939261,0.14349969,0.13171701,0.12794076,0.13236284,0.14155395,0.15119867,0.15837704,0.16257954,0.16502081,0.1669215,0.16807593,0.16801505,0.16653241,0.16457406,0.16225922,0.15968107,0.15753691,0.15851636,0.16666035,0.18413423,0.2103941,0.23993091,0.2662543,0.28210008,0.28432342,0.27339566,0.2550412,0.23664592,0.22407876,0.21860094,0.2174085,0.21672387,0.2144817,0.21075092,0.20639448,0.20140511,0.19541031,0.18819652,0.18103504,0.17523916,0.17180824,0.17037864,0.1706566,0.17254661,0.17582254,0.17926608,0.18070929,0.1791028,0.17492318,0.17007072,0.16538829,0.16080965,0.1557089,0.15063177,0.14661448,0.14473593,0.14539182,0.14899598,0.15595502,0.16616532,0.178123,0.18920474,0.19672604,0.19932781,0.19688813,0.19026561,0.1803811,0.16881162,0.15763508,0.14916651,0.14463891,0.14403324,0.14715926,0.1543642,0.16588257,0.17985214,0.1928413,0.20150726,0.20511647,0.20442961,0.20071687,0.19430111,0.18595816,0.17681713,0.16852033,0.16183813,0.15730184,0.15513569,0.1558646,0.15895581,0.16274625,0.16457212,0.16268112,0.1574416,0.15135144,0.14755826,0.1477874,0.15218395,0.15998593,0.17070472,0.18310414,0.19447584,0.20138508,0.20255381,0.20038487,0.19908617,0.20330416,0.21727185,0.24649154,0.2895637,0.33560193,0.3657062,0.37391987,0.37106085,0.3738991,0.38083598,0.37364087,0.3391976,0.2861489,0.23782353,0.21036893,0.20509404,0.2137633,0.22879052,0.24572241,0.2614008,0.27373236,0.2807256,0.2819573,0.27751854,0.26950082,0.2602572,0.25179824,0.24453515,0.23864943,0.23469268,0.23336466,0.23438595,0.23622935,0.23729365,0.23654549,0.23396696,0.22954881,0.2236252,0.21650024,0.20921619,0.20267098,0.19772203,0.19417065,0.19143432,0.1887927,0.18648441,0.18517704,0.18536024,0.1863633,0.18671398,0.18462028,0.17914496,0.17084499,0.16185176,0.15466142,0.15041201,0.14855246,0.14763622,0.14696431,0.14652981,0.14658542,0.14689279,0.14716072,0.1473961,0.14812928,0.15002637,0.15329583,0.15717058,0.16046655,0.16284318,0.16579683,0.1712914,0.17954935,0.18811548,0.1936541,0.19489264,0.19310504,0.19084506,0.18917777,0.18754719,0.18480743,0.18102933,0.17756784,0.17575665,0.17622262,0.17888571,0.18392928,0.19079238,0.19807248,0.203332,0.2059962,0.20711827,0.20883767,0.21132082,0.21271926,0.21026383,0.20233577,0.19092111,0.18045501,0.17546304,0.17567737,0.1769578,0.17452358,0.16744556,0.15825927,0.15076058,0.14750645,0.1494924,0.15586369,0.16456535,0.17264922,0.17792003,0.18008967,0.18074723,0.18198676,0.18369019,0.18393825,0.17990364,0.17170416,0.1622287,0.1569252,0.15895267,0.16795236,0.17883754,0.18736215,0.19175078,0.1949207,0.19896547,0.2048592,0.21050416,0.21490711,0.21729429,0.21815884,0.21768361,0.21647389,0.21545832,0.21495013,0.21526748,0.21614344,0.21838172,0.2217648,0.22599548,0.22986685,0.23319483,0.23560719,0.23688155,0.2364255,0.23461628,0.231993,0.22930183,0.22645342,0.22368838,0.22093761,0.21820198,0.21537752,0.21287626,0.2116999,0.21173753,0.21271157,0.2137425,0.21537192,0.21659632,0.21670713,0.21487041,0.21302974,0.2126438,0.2142175,0.21646857,0.21852344,0.21987653,0.22027272,0.2196433,0.21829678,0.21623515,0.21367566,0.21115695,0.21071161,0.21273951,0.21686757,0.22049962,0.22316448,0.22358526,0.22236983,0.2186538,0.21406193,0.20923102,0.20612378,0.20518804,0.20766598,0.21381307,0.22264141,0.23128344,0.23599143,0.23547548,0.23106003,0.22589351,0.22207487,0.2202936,0.22117156,0.22460431,0.23020136,0.23611373,0.2417918,0.2473038,0.25329304,0.2587981,0.26239944,0.2632859,0.2622191,0.25998333,0.2564843,0.25079915,0.243029,0.23454833,0.2274005,0.22277646,0.2207129,0.22108603,0.22409461,0.23046239,0.238243,0.24304485,0.23944594,0.22847034,0.21759515,0.21757351,0.2322342,0.25760043,0.28423187,0.3054471,0.31816855,0.32363072,0.32318637,0.3194408,0.3130618,0.306092,0.29870412,0.2934926,0.29040778,0.29024634,0.29069796,0.29084542,0.28963152,0.2873641,0.28535572,0.2841458,0.28483006,0.285599,0.28547385,0.28263018,0.2778207,0.27203894,0.26626682,0.26078257,0.25467354,0.24754046,0.2387278,0.22899447,0.21981035,0.21307385,0.21023154,0.21043126,0.21211414,0.21285142,0.21244584,0.21116738,0.21011089,0.20903616,0.20808654,0.20711733,0.20716305,0.20769913,0.20914643,0.20988888,0.2107188,0.21026975,0.20924397,0.20629174,0.2017266,0.19606753,0.19069214,0.1878202,0.18729204,0.18873417,0.18928273,0.18755837,0.18307126,0.17686933,0.17165238,0.16826908,0.16842197,0.17028837,0.17405741,0.17748821,0.1810124,0.18334119,0.18501942,0.18492685,0.18326835,0.17964856,0.17578219,0.17219545,0.16978242,0.167117,0.16448613,0.1624208,0.16315989,0.1666379,0.17066233,0.17197847,0.1699109,0.16750254,0.16810657,0.17252547,0.17800398,0.18183376,0.18334161,0.1835234,0.18383531,0.18380117,0.18290114,0.17939258,0.17389409,0.16716492,0.16163182,0.15792513,0.1561783,0.15544552,0.15549411,0.15677874,0.15989669,0.16542505,0.17212193,0.17821334,0.1808606,0.1797697,0.17561413,0.1706628,0.16525607,0.1596521,0.15342152,0.14751792,0.14241423,0.13880156,0.13656552,0.13599145,0.13677771,0.13831972,0.1392755,0.13875727,0.1366479,0.13376379,0.13088885,0.1284392,0.12627576,0.12427575,0.122528315,0.12159898,0.12211183,0.12441691,0.12798946,0.1317898,0.1343758,0.13505231,0.13354446,0.13093601,0.12840219,0.12783943,0.12984826,0.13420522,0.13863552,0.14117251,0.14127731,0.14162832,0.14561759,0.15420681,0.16398048,0.17020132,0.17173964,0.17201273,0.17528231,0.18081237,0.18381493,0.17917734,0.16738766,0.15297651,0.14208885,0.13768841,0.13995813,0.14672107,0.1556543,0.16456594,0.17184782,0.17644687,0.17818934,0.17769404,0.17597927,0.17362885,0.17106539,0.16896538,0.16896343,0.17206474,0.17742603,0.18205334,0.18340512,0.18137436,0.17808984,0.17567505,0.1746019,0.17432958,0.17457722,0.17598212,0.1794405,0.1852998,0.19288082,0.2002515,0.20491563,0.2051299,0.20156182,0.19681512,0.1939222,0.19417362,0.19776504,0.20382428,0.21126376,0.2173066,0.21933375,0.21641456,0.21086824,0.20542581,0.20040166,0.19471318,0.18957245,0.19069745,0.20292513,0.22558628,0.250697,0.26991525,0.27815852,0.27589497,0.26567292,0.25155652,0.2376274,0.22693352,0.2201612,0.2152127,0.20985393,0.20277297,0.19505495,0.1884083,0.1847427,0.18481565,0.18872277,0.19556119,0.20367336,0.21014434,0.21220326,0.20844398,0.20062034,0.1920978,0.18641353,0.1847411,0.18634488,0.18876795,0.18976973,0.18797402,0.18412818,0.17996167,0.17726612,0.17606442,0.17567001,0.17530115,0.17541833,0.17642105,0.17822488,0.17954083,0.17911744,0.17642236,0.17230858,0.16802053,0.16433729,0.16107555,0.15794669,0.15497911,0.1524213,0.15011086,0.14774281,0.14547497,0.14432661,0.14528626,0.14842598,0.15243751,0.15648456,0.16036443,0.1649081,0.16861011,0.16997911,0.1671827,0.16272275,0.15835051,0.15632749,0.15443474,0.15221065,0.14862694,0.14635198,0.1459738,0.14779766,0.14935493,0.14937295,0.14765288,0.14550167,0.14412326,0.14395784,0.14520526,0.14778362,0.15151124,0.15547042,0.15850621,0.15917504,0.15692429,0.15263712,0.14953196,0.15103604,0.15816785,0.16779745,0.17536283,0.17866002,0.17972104,0.18183438,0.18650703,0.19309853,0.20173615,0.21422242,0.23119117,0.25140306,0.273399,0.29862425,0.32700944,0.35507408,0.37697867,0.3911151,0.39722133,0.3941933,0.3794272,0.35772637,0.33867213,0.33079377,0.33165458,0.33532664,0.3360859,0.33547166,0.3338337,0.3323613,0.32842037,0.32112697,0.30971754,0.2965046,0.28632024,0.28315356,0.28889823,0.29965517,0.3105451,0.3162894,0.3164132,0.31313467,0.31023595,0.3090106,0.30897537,0.30893886,0.30880964,0.30814683,0.3063765,0.30297437,0.29879007,0.29481742,0.2914094,0.2878946,0.2844644,0.28163555,0.28103387,0.2827661,0.28715488,0.29264298,0.29794922,0.3010198,0.30096844,0.29779038,0.29252276,0.28719893,0.28379896,0.2835678,0.28571472,0.28845918,0.2903187,0.29126954,0.29203805,0.2934312,0.29512855,0.29606852,0.29450384,0.28980985,0.28295252,0.27601248,0.2709959,0.26852158,0.26893166,0.2724204,0.27971128,0.29094055,0.304383,0.3180513,0.3289592,0.33598614,0.33616674,0.3291441,0.31547233,0.30052122,0.2883699,0.28194484,0.28100896,0.2872558,0.30441326,0.33725762,0.38411555,0.4344283,0.47186983,0.48597935,0.4766734,0.45171353,0.4181086,0.3818936,0.34785756,0.32100073,0.30133682,0.28637707,0.27296317,0.2612259,0.2532941,0.25028527,0.2519365,0.25407347,0.25427237,0.25217086,0.25414,0.26389357,0.2808828,0.2971705,0.30755484,0.3113238,0.311542,0.31072816,0.30799723,0.3040838,0.29809067,0.29284167,0.287703,0.2842957,0.28068694,0.2771776,0.272711,0.26844683,0.26463878,0.2617437,0.25874022,0.25489262,0.24941365,0.2431628,0.2370138,0.23272423,0.23057775,0.23057717,0.23136276,0.23229627,0.23361762,0.23631702,0.24031027,0.2431993,0.24208611,0.2365733,0.2295232,0.2247049,0.22295971,0.22269154,0.22172074,0.21971922,0.21771781,0.21673661,0.21758269,0.22001027,0.22353332,0.22632438,0.22678639,0.2238193,0.21819533,0.21172194,0.20602818,0.20196874,0.19921087,0.19765168,0.19649564,0.19555108,0.19423304,0.19309044,0.1924926,0.19256537,0.19279201,0.19206421,0.19013928,0.18661493,0.18252707,0.17833966,0.17531931,0.17373991,0.17387907,0.17518939,0.1766808,0.1775107,0.17708541,0.1760167,0.17486127,0.1744576,0.17467366,0.17537306,0.17597656,0.17623234,0.17581825,0.17476271,0.1736269,0.17352559,0.1762219,0.1831218,0.19480087,0.2094007,0.22340544,0.23315424,0.23772223,0.23878694,0.23893632,0.23887189,0.23809808,0.23551607,0.2319957,0.22864605,0.22736281,0.22855979,0.23303193,0.24172847,0.25614235,0.2762988,0.29855374,0.31666085,0.32420626,0.319975,0.30838105,0.29740575,0.29232022,0.2935662,0.29820704,0.30340007,0.30727944,0.3079041,0.3040032,0.29642814,0.28813162,0.28127295,0.27538273,0.26879492,0.2613969,0.2549442,0.2511597,0.24941349,0.24764872,0.24383998,0.2383036,0.23271652,0.2292123,0.22824347,0.229271,0.23132807,0.2340647,0.237058,0.23906839,0.23857264,0.23459925,0.22814041,0.22100608,0.2151479,0.21089703,0.20787178,0.2053318,0.20370407,0.20387846,0.20684195,0.21244724,0.21986379,0.22798605,0.23607504,0.2434351,0.24913122,0.2525814,0.253926,0.2543532,0.25469002,0.25531504,0.25557455,0.2546434,0.25106815,0.24334079,0.23058997,0.21401785,0.19741316,0.1852355,0.1812204,0.18772404,0.20748655,0.24203558,0.289057,0.34112525,0.38637188,0.41214713,0.40669265,0.36912403,0.31278658,0.26355514,0.24131761,0.24741137,0.26370612,0.2676046,0.24850951,0.21319002,0.17845798,0.15714371,0.15183236,0.15867631,0.17495044,0.20025581,0.23158233,0.26124355,0.27997074,0.28403893,0.2756532,0.2618166,0.24869631,0.24132526,0.24085887,0.24575108,0.25193822,0.25625765,0.2579355,0.25812903,0.25806782,0.2578501,0.25672984,0.25398314,0.24910343,0.24292143,0.23622955,0.23002207,0.22365917,0.21714972,0.21087736,0.20622383,0.20324852,0.20113946,0.19891249,0.19693655,0.19595881,0.19656782,0.19848199,0.20183302,0.20625348,0.21159019,0.21694387,0.22279029,0.22951256,0.23708765,0.2428174,0.24316365,0.23634548,0.22509621,0.21549602,0.21247292,0.21618058,0.22220254,0.22626865,0.22691818,0.22554933,0.22296745,0.2192358,0.21409722,0.20869659,0.20468517,0.20313698,0.2040088,0.20587887,0.20756753,0.20809464,0.20776136,0.20668013,0.20556338,0.20526409,0.2069697,0.2100933,0.21235473,0.21098484,0.20576297,0.19877253,0.1932121,0.19113493,0.19279921,0.19684456,0.20093198,0.20385845,0.20543158,0.20613027,0.20520866,0.20206316,0.1979816,0.19611122,0.19917136,0.20644276,0.21491505,0.2215633,0.22542928,0.22716695,0.22687088,0.22513942,0.22293158,0.22278081,0.22441924,0.2245066,0.21845965,0.20644683,0.19343717,0.18486716,0.18095209,0.17862922,0.17533816,0.17319365,0.17462182,0.17997308,0.18531458,0.18756942,0.18642586,0.1847821,0.18464583,0.18629538,0.18876594,0.19246916,0.19771929,0.20430619,0.20995331,0.21364878,0.21567589,0.21859974,0.22368152,0.2309949,0.2390248,0.2483655,0.26155126,0.28188673,0.30829683,0.3352858,0.3550923,0.36354563,0.3607128,0.35060608,0.3371391,0.3234056,0.3099564,0.2973094,0.28642368,0.27948093,0.27752903,0.2793431,0.28248027,0.2844921,0.28524092,0.28494993,0.2843018,0.28185192,0.2765338,0.2677509,0.25687602,0.24576016,0.23649831,0.23117031,0.23013772,0.2319992,0.23368622,0.23447478,0.2357518,0.2406042,0.2500615,0.2626587,0.27473235,0.28256276,0.28490627,0.2828692,0.279791,0.27790287,0.27830192,0.2795134,0.27964044,0.27690965,0.2719114,0.26629248,0.2620724,0.25912476,0.25687182,0.25423393,0.25132635,0.2478884,0.24399333,0.23967223,0.23523726,0.23080014,0.22647911,0.22281961,0.22050543,0.2196575,0.22002523,0.2215787,0.22505541,0.2302738,0.23607881,0.24027528,0.24208371,0.24153173,0.23903207,0.23452675,0.22820807,0.22138542,0.21541058,0.2117341,0.21165372,0.21692021,0.22765942,0.24060583,0.24977882,0.25126737,0.24655919,0.24225956,0.24353774,0.2515758,0.26200077,0.2709253,0.27540895,0.27588022,0.27229252,0.26526052,0.25558302,0.24640715,0.24077404,0.23981418,0.24123567,0.2427178,0.2435627,0.24635422,0.2538692,0.26841104,0.2876892,0.3071436,0.31956112,0.32256162,0.316359,0.30582586,0.29325935,0.28057766,0.2676823,0.256021,0.24730968,0.24225467,0.23965459,0.23686713,0.23193748,0.22472309,0.21581946,0.20703763,0.19889873,0.19274771,0.18780673,0.18389465,0.17965002,0.17520104,0.17096798,0.16795309,0.16691719,0.16768032,0.16976069,0.17181088,0.17303051,0.17298937,0.17280377,0.17394479,0.17710774,0.18090059,0.18310995,0.182618,0.18050069,0.1784315,0.1773922,0.17710267,0.17747135,0.1786807,0.18095012,0.18359739,0.18582499,0.18726592,0.18871762,0.19063324,0.19325054,0.19543023,0.19661294,0.19610244,0.19465339,0.19286238,0.19141708,0.19022018,0.18895914,0.18767034,0.18609948,0.18406932,0.18096586,0.17686836,0.17218529,0.16748516,0.16345833,0.16050208,0.1590836,0.15892065,0.15984921,0.16215713,0.16620672,0.17207344,0.17801507,0.18288942,0.18548913,0.18650001,0.1860209,0.18450509,0.18205476,0.17893624,0.1757912,0.17279677,0.17091377,0.1707322,0.17363828,0.18024582,0.19038497,0.20247613,0.21387458,0.22275329,0.22767417,0.22888927,0.22641848,0.2213223,0.21431346,0.2066623,0.19966042,0.1947837,0.19231254,0.19089998,0.18837614,0.18552224,0.18555577,0.19207387,0.2042407,0.2189361,0.23494335,0.253513,0.27570653,0.29632723,0.3096017,0.31094274,0.30340835,0.29101226,0.27866212,0.26737714,0.257336,0.2471502,0.23610996,0.22440976,0.21330129,0.20450741,0.19860625,0.19520658,0.19287832,0.19058721,0.18820988,0.18678881,0.18797801,0.19250888,0.19954692,0.20664066,0.21132265,0.21231514,0.21003348,0.206348,0.20345153,0.2030013,0.20493448,0.20827378,0.21168119,0.21469605,0.21670151,0.21718253,0.21559004,0.21253,0.20914789,0.20626266,0.20381194,0.20138289,0.19920826,0.19847697,0.20122688,0.20991366,0.22604252,0.2482773,0.27123272,0.28700563,0.28942314,0.27761412,0.256385,0.23266453,0.21170269,0.19593912,0.18580604,0.18121462,0.18099092,0.18334316,0.18621354,0.18897267,0.19248974,0.19797134,0.20527221,0.21143949,0.21232064,0.205105,0.19159205,0.18030111,0.1842112,0.21990854,0.29290068,0.39388618,0.48570466,0.53192854,0.50944746,0.438556,0.3541017,0.29110345,0.25531888,0.24002089,0.23392892,0.23377125,0.23813339,0.24496658,0.2516389,0.25681677,0.26175618,0.26763618,0.27409032,0.2788575,0.27948472,0.27631095,0.272459,0.27417406,0.28668523,0.31180644,0.3446542,0.3763689,0.3979156,0.40530488,0.39970508,0.3861847,0.3698504,0.35492253,0.34412536,0.33932474,0.34090778,0.34644565,0.35141596,0.35084677,0.34285095,0.32846403,0.31130114,0.29447308,0.28113082,0.27221683,0.26756284,0.2638552,0.25865492,0.25076452,0.24201494,0.2333258,0.22499277,0.21725006,0.21194856,0.20982444,0.2090183,0.20684384,0.20343165,0.20092666,0.19993573,0.19806449,0.19333081,0.18662053,0.1805963,0.17639601,0.17315163,0.16979508,0.16617297,0.16266324,0.15914202,0.15564652,0.15264316,0.15107757,0.15135153,0.1533856,0.1566034,0.16049872,0.1639388,0.16552942,0.16377042,0.15888311,0.1533686,0.15132384,0.15594555,0.1669048,0.18031229,0.19049545,0.19398709,0.1912281,0.1855319,0.1798474,0.1751628,0.17217101,0.17198509,0.17537384,0.1807342,0.18552403,0.18828778,0.18961753,0.19067405,0.19233899,0.19470672,0.19721967,0.19784856,0.19504237,0.18889274,0.18265562,0.17917855,0.1792636,0.18072884,0.18175896,0.1812991,0.17902999,0.17451246,0.16913235,0.16617407,0.1684994,0.17565131,0.18351215,0.18779685,0.18621214,0.1806861,0.17538391,0.1749066,0.18020415,0.18834125,0.19498055,0.19970441,0.207874,0.22719069,0.25980026,0.2984611,0.3294249,0.3418028,0.3336729,0.31252447,0.2893145,0.27147096,0.2593238,0.24806716,0.23447724,0.2202124,0.2095062,0.20356369,0.19961083,0.19463415,0.18813998,0.18140627,0.17523463,0.17020582,0.16746433,0.16779639,0.17075069,0.17475945,0.17983653,0.1872419,0.19829531,0.21143949,0.2227016,0.22762555,0.22444504,0.21519,0.20382945,0.19342871,0.18493704,0.17867334,0.17547394,0.17599396,0.17973383,0.18556148,0.19270305,0.20034306,0.2069816,0.21114619,0.21277039,0.21263446,0.21113919,0.20805752,0.20410405,0.20114774,0.20077759,0.20283175,0.20581289,0.20823394,0.20971107,0.21041077,0.21102166,0.21150388,0.21197516,0.21184863,0.21131285,0.21030295,0.20933056,0.2080984,0.20657675,0.20480077,0.20424955,0.20636638,0.21195401,0.21929751,0.2258239,0.22931576,0.23025022,0.23020029,0.23097934,0.23265694,0.23516923,0.2377414,0.24001835,0.24141403,0.24242242,0.243744,0.24468456,0.24281347,0.2358455,0.22521538,0.21541208,0.21092246,0.21220969,0.21600576,0.21839684,0.21766694,0.21498698,0.21152173,0.20768869,0.20234402,0.19611754,0.19054009,0.18780589,0.18724342,0.18680082,0.18471503,0.1826374,0.18385543,0.1905161,0.20078903,0.21026866,0.2149821,0.21370442,0.20833975,0.20147587,0.19572939,0.19126992,0.18802597,0.18475832,0.18216966,0.18068068,0.1812678,0.18361546,0.18736964,0.19227357,0.19765584,0.20276918,0.20602803,0.2075569,0.20804107,0.20927931,0.21144657,0.21395826,0.21648538,0.21947564,0.22403936,0.2286159,0.23160593,0.2309675,0.2283781,0.22516614,0.2226087,0.21986915,0.21693605,0.21533082,0.2167174,0.2219501,0.22870392,0.23448725,0.2364499,0.23438549,0.22918378,0.22303735,0.21808195,0.21558654,0.21582265,0.21763349,0.21914087,0.21935983,0.21781714,0.2167288,0.21698858,0.22034115,0.22515965,0.23027462,0.23348683,0.23400879,0.23245795,0.22961968,0.22770755,0.22671992,0.22736086,0.22862881,0.23155516,0.23705584,0.24583475,0.25683722,0.2667482,0.27260247,0.27185157,0.26515752,0.254633,0.2432367,0.23321444,0.22459984,0.21829124,0.2135808,0.21213754,0.21238579,0.21326731,0.21031003,0.20109884,0.18522096,0.1669193,0.15257753,0.14706856,0.1509977,0.16046868,0.170156,0.17738198,0.18205987,0.18605445,0.18895626,0.19040626,0.1897486,0.18845671,0.18712991,0.18579535,0.1840911,0.18291682,0.18486589,0.1919323,0.2046978,0.21958995,0.23121832,0.23346685,0.22470601,0.20802753,0.19017138,0.17641743,0.16808154,0.16334082,0.16010748,0.1579841,0.1571749,0.15723239,0.1568649,0.15511997,0.15246604,0.15006523,0.14902534,0.1492849,0.15042698,0.15223151,0.15517823,0.1596327,0.16483153,0.16906118,0.1706882,0.16959085,0.16696306,0.16397321,0.16078801,0.15665883,0.15157002,0.14669336,0.14386904,0.14404248,0.14631675,0.14907704,0.15087819,0.15206307,0.15331216,0.15538941,0.15789263,0.16072927,0.16439599,0.17023642,0.17903604,0.1898426,0.19977628,0.20550503,0.2056266,0.20198785,0.19797683,0.19589238,0.19484927,0.19262873,0.18756425,0.18038423,0.17287202,0.16684753,0.16309337,0.16166289,0.16206779,0.16348279,0.1648253,0.16514076,0.16386236,0.16133499,0.15871559,0.15752693,0.15850411,0.16086943,0.16320725,0.1644969,0.16489632,0.16463137,0.163724,0.1622947,0.16112964,0.16106181,0.16172005,0.16190831,0.16103087,0.16062255,0.16343732,0.1712557,0.18388243,0.20187181,0.2287743,0.2679398,0.3128378,0.34818992,0.36160696,0.36060867,0.36166587,0.3717009,0.37436423,0.35188326,0.3044806,0.25339913,0.21935022,0.20779611,0.21164519,0.2218083,0.23405516,0.24662419,0.2578394,0.26510218,0.2664378,0.26205838,0.25445047,0.24675946,0.24066384,0.23545045,0.22998677,0.22434533,0.22062564,0.22077896,0.22503813,0.23147221,0.23780577,0.24269505,0.24545543,0.24503021,0.24023552,0.23115401,0.21955092,0.2077406,0.19732992,0.18907525,0.18303294,0.1787617,0.17553616,0.17350851,0.17325847,0.17491925,0.17670344,0.17655705,0.17378221,0.16980237,0.16621716,0.16326638,0.16031979,0.15693666,0.15370516,0.1510482,0.14918871,0.14775398,0.14662665,0.14572614,0.14530675,0.14566451,0.14701481,0.14912073,0.1515405,0.1541214,0.15767981,0.16316262,0.17072086,0.17863466,0.18484563,0.18797858,0.18859088,0.18752564,0.18570961,0.1831037,0.18013026,0.17704666,0.17441857,0.1724291,0.17145717,0.17253776,0.17612249,0.18129773,0.18491088,0.18486363,0.1818527,0.17919423,0.17907114,0.18071671,0.18122642,0.17845656,0.17242531,0.16638415,0.1642506,0.16768081,0.17280282,0.17336631,0.16616939,0.15416294,0.14353937,0.13808165,0.13777946,0.14054869,0.14579217,0.15394299,0.16484188,0.17607261,0.18439214,0.18826754,0.18877144,0.18841428,0.18835418,0.18751188,0.1833936,0.17515111,0.16578406,0.16138618,0.16685574,0.18136382,0.19906451,0.21376453,0.22411811,0.23211636,0.24017256,0.2474913,0.25238648,0.25307313,0.25018197,0.24507491,0.23969571,0.23490302,0.23120606,0.22911744,0.22845359,0.22859551,0.2282821,0.22800702,0.22819471,0.22943614,0.2310245,0.23289984,0.23501198,0.23733409,0.23961592,0.24154593,0.2429679,0.24324055,0.24222653,0.2406554,0.23999222,0.2413687,0.24439609,0.24873328,0.25345972,0.2583004,0.26127446,0.26137576,0.25847748,0.2545586,0.2511634,0.24888189,0.2478093,0.24787758,0.24892528,0.25029644,0.25157163,0.25220886,0.2512931,0.2478109,0.24269633,0.23824395,0.23723066,0.23921116,0.24286497,0.24537629,0.2467679,0.24620177,0.24488294,0.24191338,0.23850137,0.23451887,0.23160748,0.22944339,0.22772688,0.22572184,0.22450088,0.22648008,0.23248209,0.24187486,0.25259623,0.26512098,0.2793788,0.29432797,0.3059123,0.3117534,0.31187418,0.3086894,0.3039833,0.2984099,0.29204646,0.28459594,0.27581605,0.26594532,0.25621808,0.24871917,0.24423553,0.24234134,0.2401802,0.23561914,0.22718583,0.21680363,0.20716476,0.20183069,0.20223606,0.20862007,0.21841486,0.22786649,0.23286034,0.23312186,0.23340239,0.24112737,0.260427,0.2869704,0.31185564,0.32626402,0.32998398,0.32643834,0.3219676,0.31738052,0.3123783,0.30427194,0.2931303,0.28050604,0.26891577,0.260414,0.2546528,0.2509962,0.2480657,0.24524528,0.24205637,0.23816352,0.23448576,0.23115464,0.22862285,0.2256546,0.22201605,0.21744756,0.21225028,0.20645113,0.19944568,0.19108278,0.18084782,0.16968055,0.15908134,0.15164416,0.149453,0.15266852,0.15958166,0.16636407,0.17029332,0.1706465,0.16946097,0.1697604,0.17234842,0.17742771,0.18261115,0.18816024,0.1926046,0.19689994,0.19936812,0.20029993,0.19934161,0.19819152,0.19802475,0.19951122,0.20192142,0.20455347,0.2064083,0.20790803,0.20821168,0.20817089,0.20700103,0.20616446,0.20516753,0.20481062,0.20411046,0.20354135,0.20276062,0.20247732,0.20212464,0.20191495,0.20094572,0.19980825,0.19856687,0.19880389,0.20106249,0.2051189,0.20927443,0.21088159,0.20915437,0.20410965,0.19820581,0.19272442,0.18928146,0.18883753,0.19253744,0.20032609,0.20964222,0.21730155,0.22085474,0.2207369,0.21892889,0.2176374,0.21856476,0.22117932,0.22494389,0.22742675,0.22843093,0.22608916,0.22056611,0.21027236,0.19647603,0.179968,0.16373158,0.14991808,0.1422321,0.14313085,0.15300946,0.16743653,0.17959587,0.18421997,0.18085535,0.17302354,0.16490592,0.15845011,0.1532865,0.14764589,0.14110246,0.13459407,0.13038827,0.12935005,0.13091435,0.13318388,0.13495244,0.13575624,0.13611722,0.13634567,0.13660045,0.13641866,0.13552143,0.1338281,0.13160543,0.12902744,0.12613703,0.12337979,0.12172515,0.12233368,0.12524165,0.12896067,0.13134472,0.13149758,0.13094358,0.13258816,0.13843857,0.14792591,0.15831251,0.16693415,0.17237526,0.17470597,0.1740263,0.17097758,0.16732399,0.16612191,0.1691221,0.17479287,0.17954588,0.18183059,0.18386811,0.18902956,0.19738735,0.20537025,0.20930643,0.20900409,0.20761931,0.20828386,0.21169639,0.21565385,0.21742941,0.21562123,0.21109103,0.20555748,0.2001939,0.19506806,0.1902505,0.18663894,0.18575914,0.18823576,0.19292893,0.19735245,0.19940694,0.19872433,0.196473,0.19435829,0.1933248,0.19365089,0.19500607,0.19703513,0.199331,0.20174472,0.2042936,0.20686173,0.20852317,0.208076,0.20451272,0.19895017,0.19335638,0.19104554,0.19328992,0.20053136,0.2098968,0.2181681,0.22128944,0.21850093,0.21172287,0.20512676,0.20058964,0.19738714,0.19504638,0.19789682,0.21370447,0.24672101,0.29186264,0.33686498,0.37009263,0.38708726,0.38929424,0.38135946,0.36747524,0.35266402,0.33996406,0.33029678,0.32124838,0.3112711,0.300761,0.29154703,0.28413156,0.27741495,0.2705784,0.263549,0.25664577,0.2489704,0.23950534,0.22754188,0.21364695,0.19902731,0.18546863,0.1747465,0.16772342,0.16399042,0.16181237,0.1596098,0.15642168,0.15257458,0.14851956,0.14444044,0.13990562,0.13510378,0.13129409,0.13014878,0.1321372,0.13576281,0.13847941,0.13829844,0.13510482,0.13063975,0.12731422,0.12663472,0.12841946,0.13139696,0.13416733,0.13597812,0.13673536,0.13713951,0.13815165,0.14070372,0.14485587,0.15047745,0.15705974,0.16455215,0.17181493,0.17764266,0.18004753,0.17916934,0.17567672,0.1719145,0.16829734,0.16552633,0.16328974,0.16286965,0.16482873,0.16882992,0.17352568,0.17727198,0.18055438,0.18359627,0.18712033,0.1892301,0.18853776,0.18400575,0.17706998,0.16969633,0.16392052,0.16078173,0.16076212,0.163279,0.1668355,0.16901594,0.1681733,0.16449542,0.16079342,0.16031568,0.16450565,0.1710168,0.17587811,0.17632525,0.17313713,0.16913049,0.16707173]