[0.12919766,0.13562374,0.14653774,0.15338127,0.15342265,0.15082614,0.15322854,0.16328502,0.1762894,0.18361346,0.17951761,0.16528027,0.14652713,0.12854548,0.11276554,0.09745356,0.08187256,0.07028145,0.07391951,0.10217253,0.15315896,0.20827384,0.24641655,0.25700083,0.24705057,0.22983098,0.21661974,0.21183103,0.21530692,0.22305547,0.22875823,0.22637887,0.21307276,0.1905951,0.16415402,0.13997547,0.12253061,0.11550201,0.12151575,0.14203322,0.17265661,0.20419729,0.22734372,0.23703921,0.2340797,0.21940094,0.19761987,0.17382704,0.15766181,0.15304373,0.15989913,0.17061476,0.18030332,0.18653668,0.19395643,0.20401324,0.21521014,0.21796279,0.20867199,0.18896265,0.17009956,0.15965304,0.16259466,0.17599098,0.1932234,0.20334439,0.1992756,0.18129581,0.15748538,0.13698228,0.12703955,0.13138233,0.14979436,0.17642583,0.20277013,0.22215515,0.23447204,0.24107148,0.24350327,0.23742177,0.22208965,0.19824414,0.17735851,0.16999507,0.18521221,0.21656787,0.24898027,0.2633485,0.25218317,0.22068335,0.18468828,0.1590066,0.15232305,0.16226004,0.18005927,0.19345348,0.19399768,0.17812411,0.15068807,0.1231714,0.10980178,0.117114395,0.13844569,0.1594093,0.17127319,0.17746639,0.18549854,0.19532885,0.1972823,0.18306269,0.1546634,0.12419415,0.10338511,0.09702521,0.10334458,0.11895007,0.14279936,0.17072183,0.19657512,0.20873408,0.2040755,0.18604082,0.17191364,0.17569554,0.20529194,0.2496028,0.29044712,0.31006655,0.3051032,0.28315693,0.25588346,0.23172678,0.21348931,0.20154779,0.19363971,0.1890583,0.18610351,0.18407701,0.1802596,0.173764,0.16416828,0.15244652,0.13888584,0.12547614,0.115413375,0.113368966,0.120011,0.1338744,0.14720668,0.15575069,0.15578367,0.15391229,0.15467857,0.16195022,0.16867776,0.16772473,0.15561455,0.13928898,0.12942679,0.13208473,0.14380436,0.15419076,0.15451078,0.14459436,0.1352671,0.13990642,0.16409451,0.19660407,0.22076775,0.225039,0.21462137,0.19792946,0.17964594,0.15490094,0.12255242,0.09090516,0.076069795,0.08936623,0.1279584,0.17713715,0.2195702,0.24462521,0.24947596,0.2369879,0.21515624,0.1948752,0.18665342,0.19438314,0.21458805,0.23864627,0.2550508,0.25557876,0.23954765,0.21712703,0.20303065,0.20724113,0.23299856,0.27300215,0.31504503,0.34117106,0.34205988,0.3185602,0.2843741,0.25178197,0.23161067,0.22589312,0.2348932,0.24825484,0.25651166,0.24818498,0.22326405,0.18567733,0.1483935,0.12263951,0.11580422,0.12309531,0.13424593,0.13994844,0.13888967,0.13368286,0.12854068,0.12770616,0.13570197,0.15384412,0.17614622,0.19387423,0.20074415,0.19951074,0.19544941,0.19373429,0.19335233,0.19201696,0.18542467,0.1733961,0.15884502,0.1502861,0.15395297,0.1704698,0.19198643,0.21021311,0.22061206,0.22370814,0.22003336,0.20960917,0.19384134,0.17860775,0.16982602,0.17157869,0.18101136,0.19701292,0.2148223,0.23352967,0.24515867,0.248183,0.2403994,0.22805464,0.21333854,0.19967335,0.18777205,0.17988698,0.17679481,0.17576255,0.1728592,0.16283743,0.14509337,0.12000197,0.09332355,0.0713648,0.062906444,0.06968134,0.08688373,0.10178114,0.106799014,0.10190614,0.09878894,0.10867401,0.13836636,0.18203938,0.22739623,0.2597418,0.27174243,0.2651703,0.24865638,0.23043658,0.21262294,0.19400118,0.17316413,0.15309583,0.13578059,0.12216073,0.10999004,0.09859253,0.08761597,0.0783984,0.07389156,0.08098913,0.10727558,0.15325655,0.20658188,0.24718261,0.262566,0.25546303,0.24008113,0.2261542,0.21564578,0.2039632,0.19062966,0.17753817,0.16811751,0.16207075,0.1574076,0.15264873,0.14703631,0.1403849,0.13096166,0.12011761,0.11189436,0.11205566,0.12201015,0.13705897,0.15000115,0.1550071,0.15331607,0.14962089,0.15026645,0.154912,0.15978855,0.15992527,0.15617502,0.15202947,0.14965576,0.14763077,0.14320597,0.1367891,0.13036312,0.12645495,0.124739386,0.12462435,0.12601852,0.13230367,0.14444081,0.15977703,0.1685273,0.16754425,0.15996684,0.1578594,0.16313057,0.17292263,0.17850024,0.18085991,0.18023415,0.17810439,0.17069231,0.16069642,0.1527792,0.1541034,0.16425633,0.18013458,0.19432396,0.2015428,0.19609399,0.17642218,0.14586611,0.113955945,0.09201483,0.08489114,0.0885455,0.09226031,0.0891701,0.07916465,0.06916167,0.065175675,0.07057483,0.08329296,0.099605046,0.114266075,0.124693416,0.13069308,0.13468598,0.13937895,0.14645796,0.15843259,0.1754496,0.1951211,0.20862849,0.20899983,0.19622731,0.17978966,0.17008078,0.16872953,0.16967154,0.16441917,0.15153839,0.13426264,0.119470455,0.11211005,0.1152341,0.1278045,0.14586104,0.1642707,0.17831725,0.18484831,0.18234427,0.17198892,0.15731747,0.14233607,0.13039304,0.12358535,0.12315828,0.12803364,0.13447158,0.13845275,0.14001518,0.14346693,0.15192625,0.16189064,0.1655817,0.16002433,0.15091568,0.14944087,0.16227114,0.18838447,0.21849728,0.2410311,0.24825485,0.24074651,0.22679107,0.21313614,0.20106302,0.18598795,0.16811645,0.15443598,0.15531772,0.17225605,0.19551902,0.21011157,0.20717154,0.18776995,0.15991901,0.13327225,0.11496296,0.10732024,0.10710317,0.108581305,0.108327895,0.10731784,0.10873639,0.1134061,0.1180785,0.117968105,0.11054721,0.098266564,0.086004965,0.07939141,0.080436885,0.089001745,0.10029272,0.110151164,0.11363409,0.1103721,0.100415856,0.08878975,0.08207895,0.089543246,0.11339772,0.14864194,0.18370034,0.2125621,0.2330574,0.24628489,0.24694161,0.23257148,0.20569104,0.17925884,0.1607296,0.1480819,0.12872429,0.09865153,0.0661245,0.05054902,0.06378405,0.10559162,0.16023992,0.20969892,0.2389317,0.24592417,0.23610471,0.22127217,0.20882393,0.20342429,0.20260042,0.20438667,0.20479739,0.20372261,0.19969966,0.19456689,0.18869305,0.18429391,0.18042034,0.17646278,0.17176218,0.1684169,0.16857459,0.17073996,0.17008597,0.1612858,0.14466515,0.12468431,0.10617191,0.08977144,0.07294255,0.054385122,0.03618848,0.02330563,0.02015542,0.028303778,0.046358693,0.0708913,0.09886708,0.12773147,0.1547745,0.17543922,0.1842538,0.17802952,0.15870847,0.13248469,0.10715514,0.08946264,0.08662096,0.10357943,0.14036024,0.1859188,0.22402625,0.24073637,0.23467118,0.21481603,0.19459413,0.1836838,0.1842917,0.19217314,0.19978647,0.20144029,0.19576268,0.18573256,0.17733307,0.17553623,0.18155088,0.19038253,0.19546463,0.19432028,0.19088738,0.19124551,0.19655456,0.20262061,0.20247293,0.19362444,0.17782843,0.16111363,0.14751153,0.13967167,0.13683991,0.13852419,0.14225622,0.14522217,0.14320606,0.13415205,0.11889687,0.10118669,0.08572463,0.075428896,0.07086014,0.06891096,0.06624358,0.0613849,0.057468086,0.059580192,0.07064586,0.08921403,0.10848989,0.122200705,0.12579845,0.122392245,0.116222195,0.112415135,0.10935256,0.104802035,0.096264385,0.086914726,0.08210358,0.08726587,0.10326886,0.124014534,0.14026338,0.14340559,0.13327989,0.11554893,0.100713365,0.09629792,0.10491371,0.12290496,0.14319819,0.16123949,0.17407894,0.18211816,0.18370663,0.18115586,0.17781925,0.17858876,0.1811205,0.1799184,0.17092334,0.1591023,0.15142013,0.15148449,0.15440023,0.1541241,0.14572941,0.12977582,0.10863889,0.08767417,0.070732966,0.060306203,0.05433279,0.0497952,0.044589553,0.04167001,0.047725845,0.06872654,0.10450715,0.14593472,0.18119948,0.2022347,0.21171053,0.2174083,0.22637314,0.23667938,0.24115884,0.23275065,0.2113245,0.18313247,0.1555389,0.13387494,0.11967557,0.11336053,0.11257621,0.1122877,0.10804695,0.10043135,0.0963551,0.100381546,0.11027611,0.11781153,0.11831341,0.11354249,0.110053115,0.11248072,0.122255325,0.13604814,0.1491733,0.15630867,0.15624201,0.14963393,0.13900636,0.12493149,0.11114358,0.10434345,0.11309495,0.13812011,0.17030877,0.19682693,0.21122615,0.2161321,0.2161258,0.21204853,0.20198567,0.185569,0.16604698,0.14752401,0.1354003,0.13554703,0.1523542,0.18212079,0.21176036,0.2258688,0.21731102,0.19132458,0.1603673,0.13621417,0.12497913,0.12620313,0.13466454,0.14436284,0.15109645,0.15391119,0.15250659,0.14853346,0.14321494,0.13870914,0.13320316,0.12544124,0.11488972,0.107764125,0.11024574,0.12563759,0.14750685,0.16545147,0.1709627,0.16438659,0.15309197,0.14542927,0.14619432,0.15575896,0.17207569,0.19179404,0.20956947,0.22005148,0.21872286,0.20640588,0.18783979,0.17108828,0.16100049,0.15762208,0.15575007,0.1509508,0.14289731,0.13527279,0.13086171,0.12801728,0.12237356,0.11224002,0.1023351,0.10227909,0.118795194,0.14910561,0.1808473,0.20147097,0.20799975,0.20667933,0.20422633,0.20128264,0.19494927,0.18551861,0.17656462,0.17105792,0.1685695,0.16630162,0.1629709,0.15750664,0.15036027,0.14164953,0.1333239,0.1279891,0.12687474,0.1293075,0.1333944,0.14257924,0.16260432,0.19729197,0.23609471,0.2616041,0.25882247,0.2318546,0.19569863,0.1661827,0.14638047,0.13173074,0.11663375,0.10142823,0.089607775,0.08445587,0.08440221,0.08553641,0.0842342,0.08312913,0.087307714,0.10061469,0.11845278,0.13318944,0.13815002,0.13468176,0.12708138,0.12029311,0.1145711,0.108851135,0.10271185,0.099511705,0.10431475,0.11908821,0.1407405,0.1613939,0.17482893,0.17776038,0.1715395,0.15805757,0.1400972,0.119969666,0.100855894,0.084512286,0.07181124,0.06262782,0.059546486,0.065395184,0.08106465,0.09969788,0.111687325,0.11029669,0.09996405,0.090712495,0.09107333,0.09971422,0.10977086,0.11390705,0.109381385,0.09778788,0.084369875,0.077633746,0.08361608,0.10273985,0.12658821,0.14616655,0.15569532,0.15742995,0.15708238,0.16091011,0.16988146,0.17881517,0.18039002,0.17258339,0.16181533,0.15666302,0.1603636,0.16800748,0.17351454,0.17371245,0.17082544,0.1660408,0.15926266,0.14640266,0.12623508,0.10167589,0.082589574,0.077576645,0.08778455,0.1046752,0.11857939,0.12679797,0.13367736,0.14270127,0.15123434,0.15300469,0.14575395,0.13330124,0.123615585,0.12111161,0.12632065,0.13438463,0.14209986,0.14634742,0.14792775,0.14632982,0.14384378,0.14095707,0.13982533,0.13852642,0.1374136,0.13549615,0.13509119,0.13426594,0.13188387,0.1267796,0.122210175,0.12140656,0.124412835,0.12903559,0.13187532,0.1328565,0.13174163,0.12958688,0.12536827,0.11885633,0.1096102,0.09858518,0.08677896,0.07505945,0.06428536,0.0554609,0.05077968,0.05204958,0.06023343,0.07325095,0.087317534,0.09780111,0.10165775,0.0974224,0.0860511,0.07053429,0.05617548,0.0485625,0.051059645,0.06378008,0.08433244,0.110666275,0.13994934,0.16795994,0.1884041,0.19806617,0.1981344,0.1939202,0.18621439,0.17275804,0.14927207,0.120730765,0.09765172,0.09121693,0.10282477,0.124099314,0.1455919,0.16038491,0.1674122,0.16273624,0.14427514,0.11235806,0.077387206,0.05258477,0.04680031,0.056946706,0.07268306,0.0861728,0.097152345,0.10930564,0.12261689,0.13361195,0.13974215,0.14237233,0.14391434,0.14566487,0.1490343,0.1557319,0.16452147,0.16967887,0.1647425,0.15001148,0.13107313,0.11485329,0.10330793,0.09743134,0.09825539,0.106556006,0.11867229,0.12660407,0.124705315,0.112065196,0.09464693,0.07761076,0.06552653,0.057804402,0.05414094,0.053131793,0.05783151,0.06936086,0.08678769,0.10209435,0.11013472,0.112027965,0.117240705,0.13339126,0.15855612,0.1825399,0.19281454,0.18427092,0.1582571,0.12292376,0.08801361,0.06312282,0.05170235,0.05010954,0.050886694,0.05158912,0.05664588,0.07354242,0.104137816,0.1424799,0.17855988,0.20365012,0.21590771,0.21700424,0.21224539,0.20396842,0.1948455,0.18463476,0.17426394,0.16347112,0.15338092,0.14405973,0.13529883,0.12579502,0.11554837,0.10678759,0.10336243,0.1082157,0.11932806,0.13163781,0.13877027,0.1395022,0.13470656,0.12788887,0.12019152,0.11372618,0.10927025,0.10785261,0.10895636,0.1120278,0.117036976,0.12313082,0.12953885,0.13350375,0.13396673,0.12907748,0.12035146,0.10948411,0.09969599,0.09125299,0.08331132,0.07592493,0.07147897,0.07245132,0.07700193,0.08089298,0.08077856,0.07845802,0.07820767,0.0834437,0.09338499,0.104424514,0.11246255,0.11580207,0.11589295,0.11510905,0.11441479,0.111160986,0.10406547,0.09503519,0.08972728,0.0902212,0.09312815,0.09280198,0.086440645,0.07618249,0.064680986,0.05493675,0.04867504,0.0484892,0.053742986,0.06078152,0.06358088,0.060440946,0.05588658,0.058390573,0.07306242,0.09714562,0.12125083,0.13539463,0.13501163,0.12314076,0.10739795,0.09592726,0.09489121,0.10684925,0.12955727,0.15372813,0.16912208,0.17109494,0.16593815,0.16316427,0.16797292,0.17787732,0.1883331,0.19543533,0.1966045,0.18950357,0.1745414,0.15532087,0.13569333,0.11769909,0.10070917,0.085725725,0.07340752,0.06511608,0.059528235,0.056254193,0.05461897,0.05549221,0.060549628,0.07222032,0.092241906,0.117358275,0.14139946,0.15692385,0.16253717,0.16176407,0.16199337,0.16728456,0.17626132,0.18340187,0.18555947,0.1847006,0.184936,0.18613131,0.18445951,0.1754833,0.16011052,0.14120367,0.124551095,0.115222216,0.11858326,0.13354126,0.15136693,0.16049848,0.15455206,0.13714422,0.115721755,0.09924585,0.094034225,0.104171336,0.1257355,0.14880891,0.16268362,0.16592912,0.16433698,0.16499133,0.1673919,0.16752267,0.16277987,0.15782805,0.15761106,0.16310161,0.16640812,0.16085891,0.14366587,0.12124596,0.09935731,0.08330855,0.07375547,0.07159298,0.07490664,0.08063182,0.0842771,0.08396724,0.08061052,0.07750669,0.077097826,0.0798288,0.08352202,0.08658451,0.09059396,0.101917535,0.12596615,0.16166188,0.19788097,0.22151303,0.22624926,0.21789718,0.20816237,0.20499785,0.20814031,0.21067113,0.20745482,0.19727771,0.18489069,0.1740637,0.16654223,0.15951467,0.15101437,0.14077926,0.13111131,0.12264538,0.115391575,0.109113574,0.106492005,0.108822085,0.115357965,0.12251878,0.12878186,0.13475744,0.14122154,0.14631109,0.14703852,0.1420633,0.13460691,0.12978768,0.13245068,0.14135665,0.1517541,0.15671028,0.15353304,0.14175583,0.12405627,0.10371693,0.08707037,0.07958142,0.083726086,0.09416688,0.10324082,0.10508618,0.10231432,0.10074734,0.105306804,0.11574981,0.1289041,0.14183934,0.15062506,0.15336956,0.14890921,0.14161545,0.13501002,0.1312751,0.1268359,0.118825875,0.1064007,0.09327752,0.0825904,0.075748585,0.07114635,0.067397416,0.06338212,0.058750253,0.05246751,0.04390431,0.033719923,0.025598474,0.025234126,0.03785068,0.063202135,0.09562502,0.12544776,0.1467346,0.15709536,0.16016757,0.15846469,0.15531926,0.15002334,0.14340901,0.1342823,0.123415805,0.11083842,0.10072422,0.098650485,0.10805113,0.123596705,0.1347592,0.13530523,0.13076575,0.1332218,0.14999165,0.17600119,0.19771461,0.2029443,0.18919772,0.16401257,0.13783221,0.117031574,0.10128049,0.08885785,0.07881706,0.0731686,0.07337033,0.08288861,0.10460522,0.13864732,0.1770462,0.20672657,0.21886535,0.21547008,0.20745367,0.2038408,0.20457517,0.2019761,0.18768477,0.1614101,0.12971887,0.10273522,0.084716894,0.07532277,0.0721328,0.07749561,0.093712606,0.11749077,0.13570236,0.13512471,0.11374719,0.08630452,0.07595553,0.09695534,0.145861,0.20047098,0.23986177,0.25272354,0.24650286,0.23154329,0.21837161,0.20865874,0.20276482,0.19686206,0.18852526,0.17524575,0.15854035,0.14050052,0.12354836,0.109056495,0.098368846,0.09216681,0.088487364,0.08454003,0.078659676,0.07246567,0.06766149,0.06338724,0.0567454,0.046622485,0.036486212,0.032410562,0.037113275,0.04755506,0.057120323,0.065336056,0.079942815,0.11101675,0.15762156,0.20383976,0.22960812,0.2249347,0.1969419,0.16105942,0.13126485,0.113103926,0.10522895,0.10203272,0.098306574,0.09173068,0.08422375,0.07829597,0.0748403,0.07275983,0.073008366,0.08036712,0.09974009,0.13016622,0.16169132,0.18175887,0.1832002,0.1682666,0.14431964,0.11863911,0.097349375,0.08624959,0.08864709,0.100357495,0.11020503,0.10826952,0.094926454,0.08017256,0.073782615,0.07793454,0.086579956,0.09336114,0.095778264,0.098698504,0.109574236,0.13201867,0.16062832,0.18303598,0.19093423,0.18508999,0.17444032,0.16662192,0.16343965,0.16323881,0.16398643,0.16704763,0.17306004,0.1818466,0.18997093,0.19299006,0.18845546,0.17682791,0.16358857,0.15248851,0.14595366,0.14064999,0.13442218,0.12568626,0.11663767,0.109428905,0.106437735,0.10973131,0.11977806,0.13344187,0.14294966,0.14157765,0.12820937,0.108868055,0.0913761,0.08230712,0.0841843,0.09799265,0.12099534,0.15016836,0.1780114,0.1982054,0.20396149,0.19740547,0.18306659,0.1683486,0.15284203,0.13581364,0.11524352,0.09459445,0.07603908,0.061785933,0.05288587,0.053085163,0.06609125,0.09082746,0.11851287,0.137389,0.14241724,0.13801618,0.13356443,0.13284491,0.13490905,0.13623063,0.13760003,0.13881898,0.13931392,0.13584192,0.1287571,0.11979117,0.11245114,0.107155204,0.10353548,0.09930706,0.094753265,0.09034052,0.0890628,0.09146914,0.098790266,0.10993043,0.124591626,0.13975243,0.15185006,0.15761928,0.15633571,0.1498567,0.1396931,0.12757744,0.11449092,0.10293045,0.094532646,0.09009317,0.089144774,0.09200922,0.10005153,0.11319381,0.12767075,0.13640581,0.13404976,0.12086686,0.10357332,0.09098316,0.09080861,0.10473442,0.12897907,0.1533062,0.16915388,0.17246403,0.16777308,0.16193241,0.1600066,0.16163892,0.16320704,0.1627704,0.1613118,0.16052912,0.15748276,0.14587198,0.12246134,0.09218157,0.06664277,0.056629274,0.06508002,0.08659694,0.108955115,0.122649185,0.121850766,0.11006052,0.09286005,0.07728398,0.06492538,0.05410586,0.043690715,0.037032157,0.041763067,0.060347337,0.08812148,0.11410233,0.13237084,0.14301084,0.15136434,0.16204572,0.17829871,0.20063843,0.22375153,0.23826075,0.23561375,0.21627642,0.18850742,0.16154845,0.13899997,0.11857494,0.09961779,0.08710345,0.090206005,0.11214695,0.14500922,0.17376237,0.18763374,0.18710421,0.1792471,0.17066042,0.16159578,0.15130405,0.13925467,0.12885836,0.12022724,0.112217665,0.10088954,0.087360434,0.07524813,0.070294805,0.07479245,0.087076776,0.100950785,0.10943448,0.109289385,0.10492291,0.10292121,0.10769903,0.11443388,0.11688795,0.10891064,0.0942921,0.07950718,0.07355855,0.07670171,0.08547345,0.0931327,0.09929862,0.10665893,0.12019495,0.14020912,0.1633536,0.18147294,0.18727745,0.17671542,0.1547584,0.13205881,0.12010581,0.12216052,0.13157088,0.13715869,0.13179599,0.11878235,0.10723948,0.105223,0.111836396,0.12055844,0.12548567,0.12667163,0.12713443,0.12735032,0.12536705,0.120344035,0.11546477,0.11328405,0.11258382,0.10878227,0.09937038,0.08583818,0.07250817,0.06347225,0.060735125,0.063423395,0.06767751,0.06953912,0.06690789,0.062371235,0.060549926,0.06648761,0.07881772,0.09079478,0.09358102,0.08857683,0.08690178,0.10034838,0.12639374,0.14978182,0.15781944,0.1530966,0.14938378,0.15551738,0.16734006,0.17472978,0.17264354,0.16425525,0.15529567,0.1483512,0.14338325,0.13840567,0.13320939,0.12757877,0.1225326,0.11734328,0.11139873,0.10423171,0.097526945,0.094023824,0.097344875,0.10828394,0.12372138,0.1359879,0.1406279,0.13900542,0.13793951,0.14108212,0.1455244,0.14502655,0.13567187,0.120854296,0.10664192,0.09777153,0.093111716,0.0884023,0.0807833,0.07010685,0.059911903,0.055215552,0.063799046,0.0908364,0.13380915,0.17891312,0.20911913,0.21482651,0.20005484,0.17617305,0.15375584,0.1363762,0.123704545,0.11401198,0.10739986,0.10401379,0.10413027,0.10900626,0.12036288,0.1385161,0.15729316,0.16827615,0.16499741,0.1498964,0.12949455,0.110613555,0.09669755,0.090387315,0.09324133,0.10309136,0.11212755,0.11300424,0.10638661,0.10337958,0.113802314,0.1368079,0.15922725,0.1697471,0.1663451,0.15646273,0.14589077,0.13681448,0.1280617,0.1192505,0.10867902,0.09516414,0.07986182,0.06744077,0.061755117,0.06311486,0.0689239,0.07637432,0.08274905,0.08708155,0.0917134,0.10261748,0.12176486,0.14358822,0.15581736,0.15173592,0.13348587,0.112075694,0.0971238,0.09477094,0.104761325,0.12356409,0.1438834,0.15888287,0.16428106,0.16056317,0.15078048,0.13859224,0.12728539,0.11951504,0.116177775,0.1149551,0.11136957,0.1019421,0.08673024,0.0688781,0.05324458,0.045128588,0.04759259,0.058344617,0.06973538,0.07606814,0.079740204,0.08824884,0.10469488,0.12148755,0.12904674,0.12348553,0.11116606,0.09849828,0.08981231,0.08669704,0.09398229,0.11397084,0.14324962,0.17166537,0.19242705,0.2049097,0.21170765,0.21225388,0.20299567,0.18487434,0.16304033,0.14595893,0.1360166,0.13301642,0.13451004,0.14159548,0.15544729,0.1740175,0.19038941,0.1945038,0.18258654,0.15899666,0.13640238,0.12392997,0.12318807,0.129029,0.13671088,0.14547049,0.15388142,0.15956332,0.15881103,0.15396442,0.14914288,0.14768569,0.14658488,0.14312829,0.1371438,0.13153829,0.12599438,0.1192728,0.11330771,0.11627916,0.13384886,0.16294682,0.18998522,0.20262659,0.19475032,0.17176431,0.14246535,0.11735612,0.10041753,0.091490954,0.08625404,0.08214391,0.078050636,0.074495785,0.0735854,0.078968026,0.093500294,0.1130569,0.12844275,0.13149175,0.12384469,0.11321805,0.10552051,0.09965704,0.092095874,0.08270951,0.07500469,0.072390534,0.07869472,0.09734864,0.13089259,0.17119259,0.20396464,0.21368122,0.19934887,0.17044027,0.14167108,0.12018421,0.10686014,0.10117856,0.10623775,0.12612864,0.15741977,0.18842785,0.2054696,0.2059185,0.19839974,0.19537266,0.1996728,0.20568095,0.20526145,0.19817407,0.18856375,0.18165945,0.17630522,0.16917829,0.15598328,0.1371157,0.11478018,0.09232038,0.07109278,0.05177298,0.036222678,0.02744324,0.028809195,0.038430277,0.050270077,0.05539678,0.052660983,0.049207002,0.056973677,0.079298526,0.10802934,0.13092552,0.14363675,0.15180282,0.15986139,0.16395856,0.1553863,0.13432099,0.1109697,0.09803962,0.09713414,0.102027096,0.103482746,0.09904006,0.08947439,0.08042557,0.078930676,0.09136186,0.117021866,0.14512987,0.16309488,0.16343592,0.15039045,0.13241555,0.11774343,0.1082791,0.102223,0.09678341,0.09319883,0.095696755,0.108358644,0.12865922,0.14920335,0.16135387,0.16286795,0.15689407,0.1498857,0.14567108,0.14485557,0.14384139,0.13860942,0.12719981,0.112374045,0.098402716,0.08702413,0.07611016,0.06347849,0.051060025,0.04438552,0.04749025,0.058762435,0.071372844,0.07890535,0.07939937,0.07518472,0.06864063,0.059975505,0.0486411,0.03606613,0.026354289,0.024232307,0.031769305,0.046448976,0.06165908,0.07178414,0.07736268,0.08685579,0.10958152,0.14610566,0.18397401,0.20673192,0.2066703,0.19222586,0.17744778,0.17141618,0.16880615,0.16236673,0.14783825,0.13349518,0.12567127,0.12812711,0.1333142,0.1353659,0.12872511,0.11541245,0.09801131,0.082102835,0.070916265,0.06588649,0.06436093,0.06328637,0.061575696,0.059985433,0.05869287,0.055283148,0.048008267,0.037349235,0.027738586,0.024073021,0.030950313,0.04916209,0.07530929,0.10081232,0.11710155,0.12091286,0.11794636,0.11915631,0.13311249,0.15952617,0.18805008,0.20454057,0.19925143,0.17452021,0.1428227,0.119789034,0.11228799,0.11715996,0.12542455,0.13273324,0.13934158,0.14715992,0.15463702,0.15846562,0.15590717,0.14686699,0.1348521,0.12729526,0.13044704,0.14413245,0.1577617,0.16157456,0.15333557,0.14359872,0.14166713,0.15099232,0.16491409,0.17875312,0.19042568,0.20372295,0.21630299,0.22268017,0.21191691,0.18416536,0.14644507,0.114497475,0.09510972,0.090042025,0.0938608,0.10589489,0.12399348,0.14497723,0.15846963,0.15779947,0.14347164,0.12615488,0.116439946,0.11936969,0.13382882,0.15362531,0.17126851,0.17756677,0.1702665,0.15290992,0.13560499,0.12385976,0.11892652,0.11666485,0.11617831,0.117860526,0.123028696,0.12725365,0.1256247,0.11588744,0.104910254,0.10069596,0.108117424,0.12200191,0.13397022,0.13558304,0.12661369,0.11365173,0.10881341,0.11903614,0.14187011,0.16490436,0.17664158,0.17259376,0.15697284,0.13617267,0.11441498,0.093353026,0.07503622,0.063061796,0.061282244,0.06969721,0.08600271,0.10510597,0.1242776,0.1400234,0.1509729,0.1540706,0.14766589,0.13316682,0.12279295,0.13953574,0.20340486,0.30890226,0.42029718,0.49208054,0.50289285,0.46287224,0.400865,0.34116015,0.29655877,0.26972637,0.2534639,0.23584597,0.20470934,0.16023387,0.11238643,0.075003035,0.053992014,0.04720846,0.047555685,0.049021963,0.048382405,0.04634985,0.046150863,0.053094998,0.07287576,0.11174355,0.16979025,0.23966937,0.3038263,0.3499857,0.37163675,0.37245238,0.35018635,0.30511263,0.24090062,0.17503436,0.12335027,0.09326319,0.07776817,0.06817727,0.059307385,0.053225413,0.05336921,0.0649615,0.09124971,0.13278832,0.18192844,0.22734372,0.2576723,0.2700832,0.2682275,0.2633203,0.26385137,0.271893,0.274761,0.25862035,0.21771933,0.16568582,0.12012946,0.09236356,0.07807543,0.06876158,0.057958227,0.045945365,0.034548067,0.025274059,0.018250722,0.013372538,0.010404083,0.008941356,0.00998166,0.016964875,0.037024535,0.074366815,0.12683232,0.1801158,0.21942055,0.23270494,0.22162879,0.19116473,0.1532137,0.117316894,0.09712238,0.09852565,0.12044674,0.14747758,0.16361342,0.15775512,0.1346763,0.10697341,0.09152307,0.0969617,0.12202678,0.1535501,0.1781346,0.19139637,0.19882601,0.20657456,0.2107857,0.20534398,0.18766765,0.1669398,0.15211554,0.14929427,0.15661754,0.17084664,0.18773735,0.20220162,0.2082543,0.20072944,0.1818767,0.16002448,0.14598179,0.14406288,0.1512738,0.16002369,0.16219871,0.15344308,0.13451777,0.11276645,0.09716642,0.094074,0.103945196,0.12067237,0.13424416,0.13403834,0.11661845,0.08729801,0.059541997,0.046061408,0.05514304,0.08442402,0.123753406,0.15644081,0.17047876,0.16232418,0.13881673,0.10871977,0.07955809,0.057321552,0.049758483,0.06362166,0.09951284,0.14820921,0.19344755,0.2196063,0.2184778,0.19587862,0.16763152,0.15262395,0.15710142,0.17411421,0.18886112,0.19493318,0.19365166,0.18977709,0.1814454,0.16556661,0.14115036,0.11270708,0.08450652,0.060325895,0.04428113,0.043360457,0.061573207,0.09674785,0.1371046,0.17123346,0.19024085,0.19424652,0.18456046,0.16607986,0.14248936,0.11973331,0.10103533,0.087548256,0.07752486,0.070116274,0.06644979,0.068123914,0.07404988,0.079167105,0.07759335,0.06776673,0.05470273,0.0483506,0.05602129,0.07776951,0.104357414,0.12392352,0.12813622,0.11611921,0.092955716,0.06613475,0.043816373,0.03270938,0.036598753,0.05346206,0.075194865,0.09162912,0.09707176,0.09376461,0.08855189,0.085774094,0.08550737,0.08573282,0.08713502,0.09084038,0.09657564,0.101234764,0.10327852,0.10539919,0.113923185,0.13381593,0.16361938,0.1943873,0.21502538,0.21897669,0.20981802,0.19680323,0.18989749,0.190524,0.19373553,0.19004764,0.17623742,0.15502934,0.13537149,0.12247152,0.11748705,0.116251774,0.115208864,0.1121741,0.10729771,0.10146146,0.094147496,0.084650375,0.07333607,0.065954655,0.069408454,0.08675027,0.111347295,0.13214208,0.1420341,0.14274634,0.14079843,0.14065816,0.14239371,0.14459576,0.14532287,0.1431591,0.1360227,0.12516357,0.114889465,0.11044016,0.1148839,0.12658305,0.14235008,0.15465595,0.1577797,0.14900489,0.13662721,0.13222855,0.14338596,0.16412438,0.18115479,0.18238385,0.16642211,0.14098388,0.11869332,0.10728595,0.107080676,0.11127689,0.11597013,0.12040943,0.12752001,0.13490355,0.14071356,0.14262907,0.14354368,0.14345978,0.14094423,0.13139085,0.11346468,0.089822344,0.068760596,0.059868295,0.069483094,0.09439993,0.12266175,0.14004362,0.14039136,0.12851404,0.11464021,0.10598072,0.10406812,0.107065834,0.110781215,0.10980243,0.10013793,0.085366,0.073586255,0.07083019,0.073732406,0.0764041,0.077675946,0.08367946,0.09888121,0.1202659,0.13974255,0.15191026,0.15801464,0.16174458,0.16483265,0.16463436,0.15945049,0.15004306,0.14116806,0.13441198,0.12933685,0.1228048,0.116750725,0.11330261,0.114785455,0.117150195,0.11725903,0.11256992,0.1052837,0.09587369,0.084207706,0.06881043,0.05212234,0.03985178,0.038885564,0.051371694,0.073410705,0.09701458,0.11572794,0.12566486,0.12583016,0.11613064,0.10039005,0.085164405,0.07747784,0.07847769,0.08306014,0.08492062,0.083052196,0.084195524,0.09518062,0.11719649,0.14230137,0.16179234,0.17021541,0.16781743,0.1562476,0.1385035,0.11898511,0.102385044,0.09019315,0.07948684,0.06632151,0.04982977,0.032893922,0.019173088,0.011223565,0.010666397,0.02031949,0.0417671,0.07352384,0.10849404,0.13862438,0.15752943,0.16282052,0.1544342,0.1340297,0.10608742,0.07713241,0.055571303,0.04753774,0.055254746,0.0738439,0.09436376,0.10779848,0.11170929,0.109672464,0.10899686,0.11441424,0.12747325,0.14488299,0.1608696,0.16894448,0.16645963,0.15645157,0.1450346,0.13689058,0.13299033,0.1317811,0.1315253,0.1304819,0.1283353,0.12639125,0.12785245,0.13468921,0.14516214,0.15356731,0.15340388,0.14116575,0.11908597,0.09428633,0.07560281,0.068276286,0.07182727,0.08191707,0.09459629,0.10794294,0.1191527,0.12366036,0.11704353,0.10114896,0.08281904,0.06979365,0.06316396,0.05883419,0.05152577,0.04089281,0.031924292,0.03241635,0.048738375,0.0806715,0.120104946,0.15313847,0.16868241,0.16409983,0.14592582,0.12548172,0.112742744,0.11379469,0.12596545,0.14080918,0.14628007,0.13724916,0.11655757,0.09602973,0.08816349,0.10069092,0.13062708,0.16540736,0.19088133,0.19965176,0.19511451,0.18585408,0.17890614,0.176925,0.17876728,0.18308443,0.18584798,0.18363547,0.17481364,0.16640891,0.16862088,0.1874695,0.21533114,0.23568322,0.23353596,0.20705812,0.16758285,0.13198097,0.11198438,0.109674186,0.11901114,0.13093656,0.13781996,0.13713168,0.13312651,0.1341793,0.14621389,0.1664208,0.18637156,0.19931827,0.20527406,0.20584072,0.1997246,0.18495075,0.1658215,0.15116422,0.14599492,0.14543553,0.14191091,0.13339718,0.124863856,0.12022373,0.11702455,0.10986584,0.09536067,0.07599317,0.055945247,0.040063716,0.030260056,0.027594922,0.031485844,0.0428165,0.061134417,0.0838471,0.10295086,0.1116175,0.10752613,0.09626434,0.08385313,0.072973065,0.06165717,0.04793219,0.03300831,0.02098147,0.017367497,0.026326487,0.04901597,0.08202538,0.118522406,0.1510492,0.17395721,0.18466146,0.18270414,0.17089027,0.15343593,0.13724884,0.12704252,0.12505847,0.12778197,0.13046691,0.13039601,0.12830281,0.12614512,0.12362415,0.12038282,0.11711457,0.11522269,0.11378422,0.10850494,0.09658939,0.07973005,0.06569474,0.06239946,0.07291388,0.09227419,0.1102269,0.11889622,0.11781972,0.11566196,0.12121161,0.13750516,0.15729368,0.17132767,0.17360044,0.16624491,0.15445334,0.14361657,0.13672005,0.13561122,0.1405138,0.14914058,0.156685,0.1578913,0.14923225,0.13052803,0.10597827,0.08426777,0.075865045,0.08601168,0.11167228,0.14146407,0.16461891,0.17337632,0.1673614,0.14910716,0.12578923,0.10479388,0.093000315,0.09204941,0.09796849,0.10366282,0.10304552,0.09565073,0.08449104,0.07539781,0.07265158,0.080513634,0.09876724,0.12362966,0.14558427,0.15756994,0.15768467,0.15267958,0.14945412,0.15030156,0.14973675,0.14147584,0.123256974,0.099531986,0.078180686,0.06735692,0.071585305,0.08892589,0.111510456,0.12942067,0.13657473,0.13272516,0.12246866,0.11229763,0.106906265,0.10761446,0.111829035,0.11639926,0.11850026,0.11570528,0.10539234,0.08688203,0.06394114,0.043819327,0.0333429,0.035101715,0.045660418,0.0578796,0.06382676,0.060693096,0.051823724,0.045359746,0.04680164,0.05603805,0.068835646,0.08266934,0.09831423,0.11582943,0.1315309,0.13890165,0.13497047,0.12253517,0.1108588,0.10986608,0.12595491,0.15478912,0.18415038,0.19877677,0.19219095,0.16765206,0.13676642,0.11055387,0.09535534,0.09013315,0.08921954,0.08689407,0.08179263,0.07688468,0.077478334,0.08551851,0.09906388,0.10995856,0.111397944,0.10036543,0.08386287,0.0705944,0.06862845,0.07812747,0.09961331,0.12916246,0.16261218,0.18683212,0.1936999,0.1814853,0.16268243,0.14907731,0.14511277,0.14389996,0.13530706,0.1155419,0.08875286,0.066429645,0.05890776,0.07085502,0.09607581,0.12251085,0.14072867,0.15130454,0.160784,0.17199801,0.17949195,0.17495628,0.15672152,0.1312337,0.10789192,0.0914878,0.08106777,0.072945066,0.064267516,0.054328766,0.04444945,0.038013183,0.039970804,0.053513974,0.0776389,0.10485667,0.12600636,0.13331054,0.12697797,0.11218113,0.09758372,0.08730713,0.08253134,0.081445776,0.08388958,0.08908752,0.096121766,0.10303641,0.10849566,0.11096128,0.10871907,0.10088744,0.088151366,0.072752886,0.05665486,0.041829433,0.030107051,0.022730261,0.019296193,0.017990263,0.01930817,0.027358413,0.04875384,0.08569948,0.13409756,0.1836968,0.22484095,0.24936073,0.25423783,0.24072452,0.21752335,0.19525371,0.1817476,0.1754504,0.17084111,0.16376273,0.15776938,0.1576208,0.16544057,0.17662852,0.18570518,0.18818569,0.18342793,0.1725095,0.15950127,0.1471972,0.13740478,0.12687418,0.11459646,0.10140079,0.09389611,0.09534019,0.10391584,0.1115951,0.111795224,0.10440374,0.09581471,0.09608543,0.11012868,0.13567834,0.16133153,0.18023956,0.19053388,0.19764565,0.20003955,0.19608296,0.18434632,0.171996,0.16375192,0.16130997,0.16068469,0.16018943,0.1591016,0.15807976,0.15654434,0.15465374,0.15389688,0.15587352,0.16047527,0.16487212,0.16598022,0.16260192,0.15571117,0.14712642,0.13858926,0.13169992,0.12745063,0.12419465,0.11913932,0.10962808,0.09616088,0.080305584,0.06482299,0.05287819,0.04835588,0.051769372,0.058562476,0.061371494,0.05849113,0.056194026,0.0637605,0.08306753,0.10644516,0.12335446,0.12919232,0.12776078,0.126016,0.1290788,0.13643153,0.14391492,0.14598982,0.14206578,0.13628338,0.13502109,0.1386322,0.1416574,0.13713038,0.123730876,0.10615512,0.08993241,0.07831601,0.07013768,0.06371293,0.056327883,0.047511686,0.037482273,0.028362624,0.022829803,0.025024919,0.040869795,0.07309949,0.11801037,0.16114749,0.1884356,0.19151886,0.1772096,0.15621404,0.1385875,0.12295422,0.10592564,0.08652565,0.07509261,0.08220749,0.11138468,0.14988498,0.18136819,0.19426344,0.19252531,0.18470962,0.17900829,0.17446347,0.16847694,0.1586225,0.14625303,0.13305162,0.11995288,0.10744145,0.09696803,0.09049791,0.089700125,0.092510246,0.096475445,0.09950461,0.10501152,0.116647564,0.13597131,0.15828942,0.1776859,0.1891412,0.19158147,0.18443744,0.16884212,0.14644007,0.121360995,0.09765604,0.0781756,0.06504053,0.061066788,0.069240324,0.08754129,0.1058996,0.11224735,0.10197705,0.08466568,0.07305524,0.072698064,0.07635509,0.07726549,0.07792878,0.08793551,0.11159404,0.14053857,0.1623869,0.1686852,0.16074367,0.14248233,0.11821439,0.09046369,0.063171074,0.041503705,0.031087713,0.034530926,0.051209494,0.0768072,0.107967295,0.13946892,0.1661576,0.1794408,0.17589347,0.15793166,0.13626194,0.12024895,0.11420837,0.11460608,0.11596054,0.11321173,0.106118165,0.09733566,0.09458674,0.102481,0.11973707,0.13335603,0.13074978,0.10767269,0.075284645,0.049328756,0.04068798,0.048365105,0.06486221,0.082009114,0.097017705,0.10884962,0.117863886,0.12149027,0.120202504,0.11433792,0.10726151,0.09898277,0.08957077,0.07692097,0.06249899,0.05120106,0.052110184,0.07042023,0.10231046,0.13455838,0.15418737,0.15571573,0.14206956,0.1195004,0.094854355,0.07620293,0.07153543,0.08459633,0.11100701,0.1400003,0.16014053,0.16523494,0.15706764,0.14526092,0.14061497,0.1486752,0.163163,0.17311178,0.17132163,0.16227023,0.15609775,0.15870969,0.16761875,0.17438816,0.17393686,0.16475253,0.15022624,0.13335338,0.118644856,0.11011118,0.11102959,0.12000749,0.13012098,0.13327523,0.12682611,0.11782575,0.11630693,0.12723747,0.14518459,0.16192351,0.17182569,0.17522992,0.17287213,0.16682827,0.16103512,0.1613633,0.16987567,0.18112606,0.18702148,0.18181042,0.16680062,0.14662373,0.12868036,0.118883826,0.120177,0.12909287,0.13891332,0.14295508,0.13902381,0.12742488,0.11090935,0.09308056,0.08053061,0.078378946,0.0875139,0.10072177,0.11044562,0.11316947,0.1135482,0.11537203,0.11859723,0.11830222,0.11342672,0.10759535,0.10646243,0.10998023,0.11351768,0.11148851,0.1036365,0.092853166,0.08385394,0.07819098,0.07603554,0.07570526,0.07898652,0.09197036,0.12129257,0.16581647,0.21027134,0.23669444,0.23560603,0.2167138,0.19536334,0.1832214,0.17938043,0.17925382,0.17812173,0.17486261,0.16822411,0.15766974,0.1437039,0.12951764,0.11964234,0.11647638,0.11781553,0.11737787,0.11012729,0.09630861,0.08012798,0.066602275,0.059318274,0.06384013,0.08520371,0.12333556,0.16863577,0.20733328,0.23157078,0.24099779,0.23947215,0.22680981,0.20244302,0.16900025,0.1364989,0.11662405,0.11400419,0.12245518,0.12953623,0.12986927,0.12955129,0.14087196,0.1669426,0.19724871,0.21578456,0.21575855,0.20502365,0.19636135,0.19626784,0.19873355,0.19406754,0.17729837,0.15297532,0.12928313,0.112446405,0.10498831,0.108553074,0.121833354,0.13857134,0.1456237,0.1339998,0.105395615,0.07540624,0.06056333,0.06830322,0.091421485,0.11549327,0.12820955,0.12690036,0.117732376,0.110303216,0.109587096,0.11361882,0.115368746,0.10964608,0.095880896,0.079332285,0.068404675,0.07188567,0.09346578,0.12752403,0.16068836,0.17983162,0.17960238,0.16297124,0.13684772,0.10956493,0.090435065,0.08635676,0.096349955,0.109934516,0.11615384,0.11159284,0.10271195,0.09632516,0.094348244,0.09259892,0.08823436,0.08310618,0.083057225,0.09151562,0.10491588,0.11567431,0.118340015,0.115069024,0.11112561,0.11056555,0.11233852,0.11421775,0.113737464,0.11016332,0.10332026,0.09522063,0.08895009,0.086458266,0.08700675,0.087447464,0.08615147,0.083611846,0.08292587,0.08675077,0.09584681,0.10886667,0.12257882,0.13473482,0.14274544,0.1465965,0.14443265,0.13667038,0.12150409,0.102943875,0.084981084,0.076595984,0.08110169,0.099081345,0.12201134,0.1399544,0.14368443,0.13154604,0.107961126,0.08040424,0.055634573,0.03718499,0.026073674,0.021243175,0.02295146,0.03225133,0.049414147,0.07033205,0.08779207,0.0963456,0.09549194,0.08958128,0.082238846,0.07537236,0.068967976,0.06514444,0.06670314,0.07446361,0.08442215,0.09070691,0.091377504,0.08986819,0.0903083,0.09174647,0.090150975,0.086179994,0.08915756,0.110794686,0.15253676,0.19961806,0.22836562,0.22253042,0.18515831,0.13503052,0.09328247,0.06972078,0.06183122,0.061208215,0.06337445,0.07058493,0.08780686,0.11433747,0.1406141,0.15387942,0.14859326,0.12965031,0.1075123,0.08960435,0.07897782,0.07599328,0.08002278,0.087230004,0.09123852,0.08749088,0.07798123,0.06875563,0.06395113,0.061653703,0.05848154,0.05439341,0.0534032,0.05774218,0.06409005,0.06696758,0.06499037,0.0649651,0.07578394,0.10095346,0.13267107,0.15814336,0.16801542,0.16411568,0.15471418,0.14793187,0.14343841,0.13643308,0.12151124,0.100726046,0.07932246,0.06340336,0.05424143,0.051481355,0.05305763,0.055878047,0.05517882,0.047696654,0.03543118,0.025062611,0.02463005,0.03725219,0.059583664,0.08215558,0.09616213,0.09836104,0.09245374,0.08526645,0.08056599,0.07961601,0.08007351,0.080866985,0.08003232,0.07908494,0.081184335,0.09098554,0.10885084,0.1294295,0.14340277,0.14449744,0.13295792,0.11711183,0.106154345,0.105968066,0.114498496,0.12598164,0.13387556,0.13417558,0.12598443,0.11155813,0.09591796,0.084066086,0.07891908,0.07888565,0.07994295,0.0784472,0.07675938,0.08094788,0.09571821,0.11637417,0.13279033,0.13662599,0.12784475,0.11055592,0.088364184,0.06405322,0.04261337,0.031209754,0.03354385,0.04656032,0.061626535,0.07196773,0.076417476,0.0789937,0.082170986,0.08603042,0.08947245,0.09494092,0.10417945,0.11621088,0.12582015,0.13011652,0.12984504,0.12837456,0.12683891,0.12359736,0.116277665,0.10470226,0.091236316,0.07883447,0.068089716,0.057698686,0.04554534,0.032195333,0.019457066,0.010029217,0.0057444437,0.009450147,0.025518185,0.05551349,0.09456345,0.12942398,0.14902702,0.15011236,0.14049031,0.12873845,0.12004071,0.1132737,0.10686224,0.0992279,0.09109893,0.08213309,0.072773874,0.061999634,0.05070958,0.04028717,0.03494145,0.038611513,0.053325176,0.075573646,0.097444616,0.11174009,0.11685764,0.1172624,0.11770636,0.11984468,0.12225574,0.12316128,0.12131119,0.11608124,0.110305645,0.10924497,0.118294545,0.13468254,0.14979799,0.15238386,0.13911833,0.114456855,0.090248615,0.077246994,0.07992572,0.092863746,0.10507769,0.10892776,0.10481018,0.09977972,0.098899685,0.10203401,0.10441137,0.10217345,0.09453163,0.08262911,0.06809544,0.051813964,0.03611407,0.02371937,0.018342098,0.023103187,0.04116554,0.07247486,0.11135318,0.14545377,0.16284142,0.15787178,0.13702436,0.1135126,0.10344836,0.11365453,0.14037286,0.16800825,0.18409391,0.18369053,0.17313719,0.1577188,0.14065383,0.12060929,0.09902692,0.07853129,0.06312699,0.05418608,0.05001713,0.04658355,0.04085771,0.034499276,0.033705857,0.04439881,0.064681806,0.08381498,0.08879577,0.07575264,0.052239925,0.03263342,0.02853831,0.04628103,0.084506005,0.1360061,0.18663429,0.22390306,0.2403577,0.24016075,0.230191,0.21734335,0.20146154,0.18160738,0.15771498,0.13393389,0.11478316,0.10343319,0.10050115,0.10498461,0.11369593,0.121316336,0.12216911,0.11472208,0.102868326,0.09259801,0.085349135,0.07728343,0.06391917,0.047264192,0.035768066,0.03913882,0.06050093,0.09429387,0.13021101,0.15963255,0.1798131,0.19054633,0.19207586,0.18281354,0.1644433,0.14302121,0.12803063,0.12584849,0.13457797,0.14541875,0.1485729,0.14119147,0.12713811,0.112778,0.10080881,0.09081166,0.081090204,0.07072512,0.05851127,0.043964554,0.02846387,0.016167829,0.011916661,0.019767536,0.039523702,0.06619002,0.08893562,0.09894145,0.0934123,0.079547435,0.0665135,0.061535537,0.065896064,0.07858363,0.097928084,0.12188629,0.14646034,0.16386521,0.16705231,0.15448405,0.13393928,0.11563278,0.10481441,0.09833207,0.0901471,0.076946355,0.06046441,0.04545627,0.037382167,0.03854148,0.047468126,0.058280677,0.06589276,0.06697103,0.0630668,0.05699925,0.051871043,0.047640275,0.042903055,0.036822885,0.03044782,0.025392702,0.021620227,0.018676592,0.017499687,0.022663003,0.03922755,0.067882836,0.10057487,0.12405672,0.12874345,0.11559316,0.09478458,0.07691672,0.06713693,0.062926695,0.06026678,0.057356656,0.05944137,0.073205665,0.101174615,0.13584666,0.16500801,0.18051445,0.18250467,0.17717855,0.17040987,0.16796696,0.17404373,0.18949775,0.20820671,0.22027253,0.22035831,0.21102834,0.20044406,0.19529176,0.19924466,0.21048439,0.2226394,0.22535348,0.21273471,0.18694608,0.15893699,0.13983448,0.13564497,0.14500472,0.1619028,0.1802863,0.19499044,0.2036537,0.20422786,0.1969369,0.18221867,0.16222723,0.13915749,0.11655045,0.09941551,0.09403301,0.10517558,0.13126786,0.1634609,0.19018072,0.20479757,0.20721658,0.19956876,0.18263888,0.1587411,0.1345345,0.1171659,0.1075271,0.09978044,0.088727854,0.07404877,0.05998965,0.05152205,0.054586887,0.07105561,0.09501613,0.11094735,0.106665574,0.0831498,0.05617554,0.042132143,0.046124395,0.0608595,0.07550275,0.085992776,0.093748815,0.10188233,0.10970672,0.11771067,0.12866654,0.1470179,0.17394616,0.20554739,0.23587517,0.25703967,0.26578167,0.26281333,0.25664043,0.25287935,0.25327167,0.2523339,0.24808966,0.24138081,0.23642386,0.23288496,0.22770357,0.2168166,0.1993085,0.17807223,0.15827502,0.14602733,0.1431787,0.14708127,0.15085475,0.15056781,0.145262,0.13759525,0.12909396,0.12234508,0.11788552,0.11593304,0.11443096,0.114869036,0.12201774,0.13996689,0.1653773,0.18568854,0.19031714,0.17731118,0.15700759,0.14102769,0.13608874,0.14146888,0.15274869,0.16580524,0.1758223,0.17846452,0.16962504,0.1500871,0.12566574,0.10520425,0.09427973,0.09293866,0.09686792,0.10217903,0.10703886,0.112890355,0.122230135,0.13553472,0.14855044,0.15371455,0.14973076,0.14260054,0.14347108,0.15454786,0.17124088,0.18434386,0.19033873,0.18846905,0.17998414,0.16543074,0.14760683,0.1304385,0.11761119,0.10776537,0.09750223,0.08364517,0.06989289,0.06340023,0.07082895,0.09072744,0.11443021,0.13200188,0.14024748,0.14380199,0.14951295,0.15932731,0.16981417,0.17506735,0.17200397,0.16200572,0.15149255,0.14740564,0.15208073,0.159353,0.15999295,0.14742242,0.124605514,0.09908447,0.08075369,0.07349885,0.07638115,0.08207593,0.08410517,0.0791898,0.07002004,0.06090343,0.05575836,0.056418706,0.064454414,0.080474205,0.10388616,0.1308584,0.15531538,0.17125948,0.17710067,0.17790134,0.17987998,0.18529725,0.18790834,0.18352632,0.17411049,0.1699947,0.17672461,0.19339587,0.21704356,0.24956465,0.29376546,0.3431487,0.38841757,0.42376304,0.45153347,0.46429595,0.4476966,0.39285445,0.31741384,0.2509115,0.21265513,0.19534339,0.18299611,0.16725762,0.15526617,0.15387757,0.16124623,0.16665661,0.16158973,0.14490604,0.11995422,0.091515414,0.064264596,0.043856163,0.033707414,0.032190412,0.034306247,0.035245713,0.034504637,0.032941382,0.03133984,0.027951382,0.022213647,0.01526164,0.010521368,0.00949634,0.011293594,0.013316084,0.015692556,0.022387484,0.03833029,0.06371087,0.09073797,0.10873416,0.11068526,0.09834235,0.077836566,0.055811673,0.03640657,0.023532415,0.021352747,0.032472547,0.055831317,0.085875146,0.11626715,0.14144643,0.15849955,0.16584027,0.16394244,0.15556002,0.14459382,0.1355781,0.13003822,0.12726387,0.122532584,0.1134566,0.1006011,0.08873267,0.08012509,0.07453055,0.06968217,0.065179326,0.060948208,0.057975817,0.05713355,0.059781775,0.06424263,0.06628148,0.062206775,0.054560866,0.05303334,0.06698518,0.09720302,0.13146466,0.15568013,0.16389214,0.16506346,0.16939272,0.17965381,0.18576123,0.17953123,0.16037874,0.138539,0.12187602,0.1135445,0.1092191,0.105982095,0.101380706,0.097147115,0.09588338,0.103043176,0.12041614,0.14340307,0.16036521,0.16256928,0.15240782,0.14145486,0.14012663,0.14689498,0.15349895,0.15230723,0.14581852,0.13999228,0.1410691,0.14805476,0.15786189,0.16394721,0.16348054,0.15413807,0.13918519,0.12231978,0.11034855,0.10651479,0.110586874,0.11667008,0.12001106,0.12028792,0.12218811,0.1291336,0.14013891,0.15020786,0.1543669,0.15009992,0.13845454,0.12467285,0.11548821,0.1145808,0.1180078,0.11788965,0.11012223,0.09882429,0.09172815,0.0924091,0.09763164,0.1014219,0.099363126,0.09093205,0.07772372,0.06313581,0.049877897,0.039565157,0.03130878,0.024251522,0.018569222,0.016791837,0.020567404,0.030502394,0.04476297,0.06260481,0.08285727,0.10548859,0.12917656,0.152644,0.17331283,0.18711378,0.19039923,0.18139227,0.16466437,0.14730023,0.13763855,0.13707882,0.14184828,0.14359723,0.13788049,0.12565278,0.11250621,0.10227298,0.09421373,0.08470917,0.0721691,0.058883432,0.04871836,0.042746883,0.03873242,0.033701193,0.028297128,0.027614305,0.03829043,0.062289346,0.09297085,0.11712477,0.12345066,0.11102741,0.090493105,0.07647148,0.07621456,0.085404165,0.09326506,0.09447075,0.09258229,0.09518213,0.10257667,0.10817141,0.104022294,0.0904546,0.07287269,0.057925537,0.047148082,0.039886042,0.03391357,0.028011963,0.021246685,0.014775093,0.011768937,0.017065419,0.032919914,0.058062572,0.08592558,0.11103494,0.12976746,0.14486603,0.15955369,0.17716356,0.1953107,0.20813958,0.20793545,0.19338888,0.17303641,0.16092633,0.16474201,0.17796607,0.18641175,0.18031327,0.16171812,0.1383625,0.116708554,0.098324396,0.08386903,0.07438757,0.07191268,0.07649059,0.08586576,0.0954124,0.10072234,0.09985887,0.09461432,0.08886713,0.0853462,0.08300932,0.07856581,0.06960617,0.057860482,0.04804239,0.045470387,0.052689273,0.066822074,0.080395974,0.08496329,0.07924241,0.069537945,0.066528626,0.0753924,0.09476423,0.116799,0.13277848,0.13555883,0.1254321,0.112499945,0.112122916,0.13332824,0.16912746,0.20110266,0.21198992,0.19861709,0.17052834,0.14313293,0.12568112,0.11972726,0.1192199,0.11881807,0.11473172,0.10671806,0.09499106,0.08225425,0.0716796,0.066743255,0.068412,0.07708415,0.09093288,0.10503226,0.1120537,0.1074484,0.09446221,0.08041205,0.07145912,0.06824755,0.06796856,0.06746087,0.064580314,0.06101309,0.05891372,0.05959927,0.05961497,0.057580512,0.05907883,0.07581142,0.11517346,0.16973533,0.22223246,0.25553846,0.26647976,0.26132601,0.24975021,0.23385812,0.21228202,0.18454409,0.15862255,0.14413159,0.14690602,0.15973146,0.17108233,0.17009984,0.15714985,0.13819237,0.12019637,0.1049963,0.08909842,0.07096533,0.052585054,0.04362291,0.052505285,0.083622724,0.13057227,0.18041985,0.21949166,0.2416342,0.24999957,0.25039223,0.24446516,0.22858931,0.20136146,0.16814654,0.13800085,0.1168107,0.10339431,0.09352398,0.08372298,0.07617823,0.076144464,0.089179374,0.114302196,0.14518738,0.17285205,0.19179277,0.1998461,0.1983201,0.18988574,0.17848368,0.16612871,0.15327068,0.13848588,0.122674815,0.10694193,0.09453353,0.08760189,0.08981893,0.10122428,0.11855886,0.1354736,0.15049364,0.16812433,0.19299783,0.22107656,0.24037343,0.24243785,0.22841357,0.20884115,0.19153166,0.18213074,0.17982285,0.18530189,0.19395018,0.20134443,0.20001912,0.18900026,0.17149657,0.15452969,0.13989927,0.12642543,0.11240525,0.10129566,0.09543216,0.09354553,0.08986979,0.08248257,0.07449394,0.07147529,0.07441353,0.07982408,0.08273221,0.08212275,0.08031627,0.08081306,0.08378553,0.085870266,0.08356181,0.0762118,0.0677475,0.06262356,0.06598714,0.080949955,0.10768887,0.13814075,0.15974136,0.16226894,0.14792906,0.12599157,0.106829055,0.091261245,0.076875366,0.05968805,0.042222504,0.029323133,0.027816137,0.03984839,0.06140694,0.082121365,0.092781484,0.09282109,0.09327761,0.10636092,0.13471472,0.16538185,0.1829286,0.17970341,0.16231696,0.14165662,0.12661523,0.121206366,0.12641284,0.14127749,0.15976913,0.17437439,0.17862982,0.1743023,0.16749887,0.16424315,0.16465537,0.16415727,0.15949003,0.14975284,0.14026289,0.13502978,0.13885367,0.1485552,0.16087425,0.16888916,0.17180924,0.1675054,0.15948202,0.14888276,0.14171056,0.13799785,0.13778895,0.13546361,0.13034622,0.123598754,0.11998583,0.120631166,0.1224162,0.1200371,0.11215032,0.10369589,0.10188422,0.10828181,0.11782963,0.12309507,0.12169909,0.11525485,0.10730795,0.10003355,0.09508032,0.09189192,0.08824721,0.081700526,0.07365587,0.06748266,0.06601674,0.06766594,0.070432656,0.07337322,0.0780842,0.08507467,0.09296399,0.09935253,0.1015409,0.097755015,0.08677903,0.070428476,0.052718226,0.038639482,0.030862018,0.02891235,0.029817143,0.029952817,0.027040256,0.021177799,0.015142452,0.013324316,0.020768756,0.0403411,0.07052899,0.103947304,0.13098985,0.14458251,0.14363475,0.13250284,0.11750596,0.104531266,0.09543297,0.0888578,0.08082665,0.06947106,0.055060405,0.040042352,0.026318619,0.01632045,0.013571422,0.023437047,0.049012583,0.08711082,0.1260649,0.15206052,0.15708894,0.14407665,0.12233188,0.10084195,0.08429644,0.07568913,0.07797432,0.09292188,0.11667534,0.1410147,0.15760155,0.16412891,0.16288124,0.15776761,0.15064467,0.14290546,0.13652237,0.13315226,0.13272272,0.13171913,0.12708421,0.116684884,0.10385791,0.094814174,0.097873576,0.11674898,0.14700113,0.17778754,0.19681793,0.19963747,0.18900268,0.17451735,0.16319196,0.15755631,0.15383124,0.14770512,0.13754593,0.12615372,0.11996547,0.12525727,0.14371718,0.1673326,0.18324102,0.18192144,0.16587941,0.14467119,0.12789729,0.117913626,0.113482065,0.111060046,0.10922409,0.10607073,0.10295176,0.10042238,0.10026634,0.100271665,0.09824398,0.09067836,0.07695859,0.058103632,0.03865685,0.02473188,0.02294313,0.03652675,0.06366503,0.096981354,0.12700789,0.14620596,0.15142012,0.14416589,0.12874097,0.110051006,0.09144213,0.073924266,0.059707116,0.052779093,0.057875413,0.07285596,0.08895641,0.0951293,0.08790272,0.07246766,0.058391776,0.0522482,0.05541043,0.06542995,0.07799089,0.08795663,0.09061906,0.08495012,0.07636219,0.07518332,0.08907779,0.11595976,0.14357825,0.15968172,0.15994,0.15026005,0.13809638,0.12884998,0.12359965,0.12408916,0.13042666,0.14139952,0.1517552,0.15695995,0.15560551,0.14995378,0.14244653,0.1311378,0.114090554,0.09246079,0.07644584,0.07554122,0.093873166,0.12353716,0.15467292,0.17815758,0.19117187,0.19165528,0.18165405,0.16327788,0.14044125,0.11327649,0.08319988,0.052682787,0.02762644,0.011321512,0.003605507,0.001013449,0.00048701782,0.00040846295,0.00039140365,0.00042211649,0.00073514716,0.002435203,0.0079981685,0.02066991,0.041750357,0.06832993,0.093598574,0.111189604,0.1188913,0.11855751,0.11282692,0.10222846,0.086562306,0.066561595,0.045473456,0.026940519,0.01361971,0.0058065825,0.0023041356,0.0015975366,0.0036861107,0.010469924,0.024835145,0.046252917,0.068928406,0.08247856,0.08087827,0.06729111,0.05471843,0.054485857,0.06857986,0.0873118,0.0992997,0.09935864,0.090599276,0.07913434,0.06885382,0.061311547,0.055520058,0.050019383,0.04215862,0.031851374,0.021402061,0.016048528,0.01974547,0.033925097,0.05497225,0.07590855,0.088566415,0.08842524,0.0765991,0.058615208,0.041825224,0.033300597,0.038576026,0.05889824,0.0881241,0.114834785,0.12790075,0.12404061,0.10781705,0.087039076,0.067054294,0.04923779,0.03417464,0.023592709,0.020796165,0.027274286,0.040432546,0.054368842,0.06379748,0.06817409,0.07020196,0.07204192,0.072208695,0.06828702,0.060526524,0.051759582,0.04433283,0.03714645,0.029061882,0.021232873,0.019120267,0.026826903,0.044003528,0.06330065,0.07638012,0.079468824,0.076615214,0.07503629,0.07870083,0.08779352,0.10040605,0.115983665,0.13038962,0.1374892,0.13059655,0.11143642,0.088170834,0.07129398,0.065125726,0.06851163,0.07811051,0.09209903,0.10764432,0.11961778,0.12226516,0.11555869,0.10474983,0.096586585,0.09244299,0.090503596,0.08856083,0.08731722,0.08719826,0.087255426,0.08574191,0.08226758,0.078734994,0.07812088,0.08501571,0.102144636,0.12823164,0.1549267,0.17258255,0.17560063,0.16586405,0.14891861,0.13076617,0.11546298,0.10500753,0.097061396,0.08769858,0.07330373,0.0558867,0.03989555,0.03029976,0.028176127,0.03220473,0.039626505,0.04785913,0.054294016,0.056712557,0.0535828,0.045142516,0.033173565,0.02093825,0.011285473,0.0056334254,0.003244139,0.0024991205,0.0021815575,0.0026926287,0.0063494476,0.016776608,0.035936028,0.060794156,0.082267724,0.09047514,0.081903376,0.06288468,0.045094203,0.03673218,0.038508598,0.044128906,0.047762457,0.045746893,0.039495923,0.030680679,0.021992827,0.014139528,0.008131235,0.0039298674,0.0016006358,0.0005723165,0.0003464891,0.00050065847,0.00083928695,0.001691691,0.004122037,0.010344722,0.021731347,0.03767314,0.05369841,0.06474307,0.06678613,0.06052282,0.04970205,0.04036989,0.0373854,0.0426268,0.054174244,0.06672686,0.07464334,0.073529266,0.06328748,0.047805935,0.034716558,0.031681985,0.04202609,0.061797142,0.081380375,0.09245867,0.092786014,0.08631656,0.07792995,0.07000437,0.06290271,0.05719984,0.055536672,0.06015822,0.071463585,0.08555475,0.09723059,0.102087766,0.09965188,0.09311718,0.08682576,0.08410844,0.08417377,0.085529506,0.08652357,0.08841634,0.0908644,0.092812784,0.09189998,0.08839696,0.083941855,0.0812728,0.08221928,0.08702781,0.093606465,0.09846123,0.10007471,0.09907529,0.09771217,0.09631127,0.09537577,0.09440527,0.093085326,0.089356005,0.08236786,0.074047185,0.06844032,0.069632955,0.07686019,0.085805885,0.08807745,0.07991153,0.06315785,0.047996018,0.04299735,0.05120507,0.06558524,0.07673848,0.0789471,0.07549076,0.072852634,0.074238114,0.07636734,0.076089375,0.07481363,0.078251064,0.08826589,0.10164153,0.11145419,0.1141448,0.108999945,0.098062694,0.08289334,0.06537127,0.04728669,0.03078086,0.017885141,0.010151301,0.0082460465,0.010903109,0.0153431585,0.018966386,0.022478988,0.030031174,0.044392675,0.06335422,0.07965287,0.089943826,0.09525015,0.10067281,0.10514567,0.10575592,0.097700305,0.08292352,0.06576954,0.054394364,0.053677678,0.06385205,0.07732661,0.08466861,0.081285775,0.07230393,0.068168044,0.07568905,0.09083688,0.10118765,0.09566464,0.073918216,0.045664772,0.02258391,0.0101117175,0.0071625435,0.010124405,0.01659011,0.02516851,0.03447269,0.042964052,0.05027039,0.057256382,0.06521661,0.07455584,0.08641825,0.10271365,0.1247668,0.14841257,0.16637152,0.17345487,0.17239152,0.16929431,0.16756016,0.16640466,0.16387801,0.16040471,0.15528737,0.14844948,0.13900544,0.12864192,0.11642617,0.10081628,0.0799653,0.056663644,0.035379425,0.01980386,0.010104663,0.0048691425,0.0025932833,0.0024145315,0.0034469124,0.004723093,0.005987417,0.008390221,0.014801022,0.027131071,0.045378882,0.06470248,0.07916141,0.08250806,0.07522804,0.06290457,0.05508019,0.05563196,0.061091352,0.06285804,0.05617005,0.04266711,0.028121592,0.016898988,0.011069442,0.011728798,0.01980247,0.033913087,0.048370834,0.05568434,0.05208193,0.04178345,0.034447804,0.037274703,0.049964797,0.06480678,0.07446155,0.07548819,0.07092238,0.06556768,0.06394344,0.06699937,0.073447175,0.08101676,0.0873597,0.08928222,0.08310183,0.06780117,0.046961557,0.027701559,0.016514331,0.017544925,0.030916587,0.052800823,0.0751821,0.09092643,0.097998895,0.100577764,0.10350282,0.107553,0.10953965,0.10624126,0.097768605,0.08668679,0.07613042,0.06838592,0.065875195,0.07050168,0.08163887,0.09348775,0.097886406,0.089772604,0.07252947,0.055879902,0.049140375,0.054749053,0.06702755,0.07793966,0.0822484,0.0805651,0.07558452,0.069017716,0.06021644,0.04899783,0.038363513,0.034258652,0.042003635,0.061354507,0.08567941,0.10507064,0.11261595,0.10630691,0.08941876,0.06777595,0.049421426,0.04142509,0.04706946,0.063137196,0.08143464,0.092942,0.09254662,0.08157467,0.0671562,0.057238262,0.055498537,0.05858357,0.060691733,0.06011365,0.061540544,0.07247267,0.093527235,0.11845636,0.13532661,0.13922606,0.13117264,0.118868716,0.105829425,0.09291611,0.07848826,0.06454247,0.055777833,0.05694906,0.06870524,0.084988646,0.097030856,0.09806446,0.089289926,0.0767585,0.066490926,0.059213307,0.051655844,0.041297276,0.02937392,0.02068988,0.019424347,0.026409337,0.038653027,0.050902817,0.0588399,0.059656024,0.05393025,0.043222427,0.031037593,0.020409497,0.014888153,0.01544495,0.020438703,0.025388567,0.026801044,0.0239696,0.019014623,0.01401333,0.009837116,0.00631048,0.0035152787,0.0019063462,0.002195929,0.005267034,0.011743783,0.021464622,0.032599222,0.042537507,0.04892401,0.050987404,0.049261644,0.044804007,0.03852877,0.031142334,0.02408907,0.019673504,0.020346204,0.025902765,0.032762855,0.03557279,0.032118645,0.024671158,0.017947577,0.014476937,0.013483594,0.0129662035,0.012043941,0.011427375]